{"count": 134, "status":"OK", "data":[{"pols": "[X^4, -639*X^4-558*X^3-447*X^2-168*X-24, 151632*X^4+232848*X^3+204984*X^2+84672*X+12960, -16030656*X^4-31850496*X^3-27661824*X^2-10368000*X-1451520, 3317760*(2*X+1)^2*(51*X^2+69*X+32), -298598400*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.100\" from ...", "degz": 5, "h3": "36", "sol": "1 24 1944 218400 28488600 4048761024 608371749216 95064025769856 15292201195042200 2515650430048641600", "n_discr_factors": "3", "c3": "-16", "operator": "4 5 0 0 0 0 1 -24 -168 -447 -558 -639 12960 84672 204984 232848 151632 -1451520 -10368000 -27661824 -31850496 -16030656 106168320 653598720 1509580800 1592524800 676823040 -2687385600 -14332723200 -26276659200 -19110297600 -4777574400", "new_number": "5.100", "id": 182, "operator_tex": "\\theta^4-3 x\\left(213\\theta^4+186\\theta^3+149\\theta^2+56\\theta+8\\right)+2^{3} 3^{3} x^{2}\\left(702\\theta^4+1078\\theta^3+949\\theta^2+392\\theta+60\\right)-2^{6} 3^{3} x^{3}\\left(9277\\theta^4+18432\\theta^3+16008\\theta^2+6000\\theta+840\\right)+2^{13} 3^{4} 5 x^{4}(2\\theta+1)^2(51\\theta^2+69\\theta+32)-2^{14} 3^{6} 5^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "15 27140/3", "discriminant": "5 1 -639 151632 -16030656 676823040 -4777574400", "aesz": "347\n", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "f00de20026c099e75b447c475ab287e4", "dim_h": "13", "inst": " 15 1329/4 27140/3 220680 5952570 550577279/3 6782826234 302695932456 138944230607815/9 1711409037498435/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(192z-1)(1728z^2-207z+1)(-1+120z)^2", "discr_factors": "-4777574400, z-1/192, z^2-23/192*z+1/1728, (-1/120+z)^2", "dm_basis": null, "q": "0 1 -72 2484 -54576 1205874 -26096256 504161136 -10716165216 43953392151", "yuk": "1 15 2673 244275 14126193 744071265 39641811021 2326509398277 154980331543665 11254482679477290", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"23/384-11/1152*33^(1/2)","im":"0","approx_re":"0.005043","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192","im":"0","approx_re":"0.00520833333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/120","im":"0","approx_re":"0.00833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"23/384+11/1152*33^(1/2)","im":"0","approx_re":"0.114748","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 280*X^4+776*X^3+580*X^2+192*X+24, -6768*X^4+41184*X^3+101328*X^2+57216*X+9888, -41472*X^4+746496*X^3+5446656*X^2+4499712*X+928512, -82944*(3*X+1)*(3*X+2)*(42*X^2+258*X+223), 11943936*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.101\" from ...", "degz": 5, "h3": "16", "sol": "1 -24 2160 -309120 54608400 -10824637824 2311144932096 -519918637455360 121579349447247120 -29291011307905776000", "n_discr_factors": "2", "c3": "-114", "operator": "4 5 0 0 0 0 1 24 192 580 776 280 9888 57216 101328 41184 -6768 928512 4499712 5446656 746496 -41472 -36993024 -209267712 -366031872 -223948800 -31352832 477757440 2794881024 5267275776 3869835264 967458816", "new_number": "5.101", "id": 183, "operator_tex": "\\theta^4+2^{2} x\\left(70\\theta^4+194\\theta^3+145\\theta^2+48\\theta+6\\right)-2^{4} 3 x^{2}\\left(141\\theta^4-858\\theta^3-2111\\theta^2-1192\\theta-206\\right)-2^{8} 3^{2} x^{3}\\left(18\\theta^4-324\\theta^3-2364\\theta^2-1953\\theta-403\\right)-2^{10} 3^{4} x^{4}(3\\theta+1)(3\\theta+2)(42\\theta^2+258\\theta+223)+2^{14} 3^{6} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-52 -44772", "discriminant": "5 1 280 -6768 -41472 -31352832 967458816", "aesz": "348\n", "n_sing_complex": "2", "inst_int": "", "c2h": "40", "hash": "8759f016475d17d0fc88f4b98a374d3f", "dim_h": "6", "inst": " -52 461/2 -44772 3546761/2 -178670332 32517931641/2 -1653102364436 366947580015355/2 -21196688793453600 5118794506088892927/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(746496z^3+17280z^2+352z+1)(-1+36z)^2", "discr_factors": "967458816, z^3+5/216*z^2+11/23328*z+1/746496, (-1/36+z)^2", "dm_basis": null, "q": "0 1 96 5712 419072 25422576 2011912704 92161450240 10068708114432 59645210003352", "yuk": "1 -52 1792 -1208896 113498144 -22333791552 3511935410176 -567014111001600 93938580597429024 -15452386130428883296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2592*(1502+342*57^(1/2))^(1/3)+41/648/(1502+342*57^(1/2))^(1/3)-5/648","im":"-1/16*3^(1/2)*(1/162*(1502+342*57^(1/2))^(1/3)+82/81/(1502+342*57^(1/2))^(1/3))","approx_re":"-0.009925","approx_im":"-0.017537","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2592*(1502+342*57^(1/2))^(1/3)+41/648/(1502+342*57^(1/2))^(1/3)-5/648","im":"1/16*3^(1/2)*(1/162*(1502+342*57^(1/2))^(1/3)+82/81/(1502+342*57^(1/2))^(1/3))","approx_re":"-0.009925","approx_im":"0.017537","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1296*(1502+342*57^(1/2))^(1/3)-41/324/(1502+342*57^(1/2))^(1/3)-5/648","im":"0","approx_re":"-0.003299","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -70*X^4-86*X^3-77*X^2-34*X-6, 2025*X^4+4806*X^3+5799*X^2+3390*X+774, -29268*X^4-95904*X^3-135972*X^2-89748*X-22356, 206064*X^4+785376*X^3+1155708*X^2+751356*X+180792, -34992*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.102\" from ...", "degz": 5, "h3": "288", "sol": "1 6 54 492 3510 756 -656964 -17079336 -299659338 -3854724060", "n_discr_factors": "3", "c3": "-216", "operator": "4 5 0 0 0 0 1 -6 -34 -77 -86 -70 774 3390 5799 4806 2025 -22356 -89748 -135972 -95904 -29268 180792 751356 1155708 785376 206064 -524880 -2169504 -3324240 -2239488 -559872", "new_number": "5.102", "id": 184, "operator_tex": "\\theta^4-x\\left(70\\theta^4+86\\theta^3+77\\theta^2+34\\theta+6\\right)+3 x^{2}\\left(675\\theta^4+1602\\theta^3+1933\\theta^2+1130\\theta+258\\right)-2^{2} 3^{3} x^{3}\\left(271\\theta^4+888\\theta^3+1259\\theta^2+831\\theta+207\\right)+2^{2} 3^{5} x^{4}\\left(212\\theta^4+808\\theta^3+1189\\theta^2+773\\theta+186\\right)-2^{4} 3^{7} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "1 -12", "discriminant": "5 1 -70 2025 -29268 206064 -559872", "aesz": "352", "n_sing_complex": "2", "inst_int": "", "c2h": "216", "hash": "fc8b141522720827b1dd2cd28a232c1b", "dim_h": "66", "inst": " 1 -7/8 -12 -131/4 90 3513/2 10694 -1111/2 -639429 -23067635/4", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(432z^2-36z+1)(-1+9z)^2", "discr_factors": "-559872, (-1/9+z)^2, z^2-1/12*z+1/432, z-1/16", "dm_basis": null, "q": "0 1 -10 87 -564 3295 -18198 81229 -391496 2030976", "yuk": "1 1 -6 -323 -2102 11251 379074 3668043 -286518 -466144064", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"-1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/72*3^(1/2)","approx_re":"0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -850*X^4-800*X^3-625*X^2-225*X-30, 271875*X^4+457500*X^3+414375*X^2+172500*X+25500, -39965625*X^4-89606250*X^3-85865625*X^2-35775000*X-5287500, 8437500*(3*X+1)*(3*X+2)*(34*X^2+61*X+36), -632812500*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.103\" from ...", "degz": 5, "h3": null, "sol": "1 30 3150 462000 78828750 14647012380 2873579108400 585270426312000 122482539114828750 26160228836854612500", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -225 -625 -800 -850 25500 172500 414375 457500 271875 -5287500 -35775000 -85865625 -89606250 -39965625 607500000 3763125000 7939687500 7214062500 2581875000 -25312500000 -148078125000 -279070312500 -205031250000 -51257812500", "new_number": "5.103", "id": 185, "operator_tex": "\\theta^4-5 x\\left(170\\theta^4+160\\theta^3+125\\theta^2+45\\theta+6\\right)+3 5^{3} x^{2}\\left(725\\theta^4+1220\\theta^3+1105\\theta^2+460\\theta+68\\right)-3^{2} 5^{5} x^{3}\\left(1421\\theta^4+3186\\theta^3+3053\\theta^2+1272\\theta+188\\right)+2^{2} 3^{3} 5^{7} x^{4}(3\\theta+1)(3\\theta+2)(34\\theta^2+61\\theta+36)-2^{2} 3^{4} 5^{9} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "25 17175", "discriminant": "5 1 -850 271875 -39965625 2581875000 -51257812500", "aesz": "354", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0d4263e8c85dceb5c51f8614f7c1bc79", "dim_h": null, "inst": " 25 2175/4 17175 351250 23000351/5 -946341375/4 -42917772675 -4583010161250 -428541128373750 -754410019566902943/20", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-84375z^2+550z-1)(-1+150z)^2", "discr_factors": "-51257812500, z^3-1/27*z^2+22/91125*z-1/2278125, (-1/150+z)^2", "dm_basis": null, "q": "0 1 -105 6525 -326375 16119375 -735922971 33796037660 -1307023044825 64970570937375", "yuk": "1 25 4375 463750 22484375 575008800 -51101966150 -14720796027500 -2346501180075625 -312406482584000000", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8100*(40580+420*21^(1/2))^(1/3)-59/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"-1/10*3^(1/2)*(1/810*(40580+420*21^(1/2))^(1/3)-118/81/(40580+420*21^(1/2))^(1/3))","approx_re":"0.003863","approx_im":"-0.000232","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8100*(40580+420*21^(1/2))^(1/3)-59/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"1/10*3^(1/2)*(1/810*(40580+420*21^(1/2))^(1/3)-118/81/(40580+420*21^(1/2))^(1/3))","approx_re":"0.003863","approx_im":"0.000232","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/150","im":"0","approx_re":"0.00666666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4050*(40580+420*21^(1/2))^(1/3)+118/405/(40580+420*21^(1/2))^(1/3)+1/81","im":"0","approx_re":"0.029311","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -5733*X^4-8970*X^3-8203*X^2-3718*X-676, 81936*X^4+249216*X^3+339440*X^2+219232*X+55120, -655360*X^4-2915328*X^3-5199872*X^2-4153344*X-1224704, 2048000*X^4+9207808*X^3+14827520*X^2+10223616*X+2572288, -2097152*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 358/5.105", "degz": 5, "h3": "208", "sol": "1 4 20 112 916 11504 159536 2075840 25409428 308606224", "n_discr_factors": "3", "c3": "-128", "operator": "4 5 0 0 0 0 169 -676 -3718 -8203 -8970 -5733 55120 219232 339440 249216 81936 -1224704 -4153344 -5199872 -2915328 -655360 2572288 10223616 14827520 9207808 2048000 -2097152 -8388608 -12582912 -8388608 -2097152", "new_number": "5.104", "id": 186, "operator_tex": "13^{2} \\theta^4-13 x\\left(441\\theta^4+690\\theta^3+631\\theta^2+286\\theta+52\\right)+2^{4} x^{2}\\left(5121\\theta^4+15576\\theta^3+21215\\theta^2+13702\\theta+3445\\right)-2^{10} x^{3}\\left(640\\theta^4+2847\\theta^3+5078\\theta^2+4056\\theta+1196\\right)+2^{14} x^{4}\\left(125\\theta^4+562\\theta^3+905\\theta^2+624\\theta+157\\right)-2^{21} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "7/13 21/13", "discriminant": "5 169 -5733 81936 -655360 2048000 -2097152", "aesz": "357", "n_sing_complex": "2", "inst_int": "", "c2h": "160", "hash": "afee0651c9b3b8e98079f5c2d5bfa8a5", "dim_h": "48", "inst": " 7/13 -10/13 21/13 296/13 608/13 -1020/13 5922/13 11928 666516/13 -13020", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(128z^2-13z+1)(-13+32z)^2", "discr_factors": "-2097152, (-13/32+z)^2, z^2-13/128*z+1/128, z-1/16", "dm_basis": null, "q": "0 1 -6 35 -208 821 -3474 14797 -61472 110511", "yuk": "1 7/13 -73/13 574/13 18871/13 76007/13 -219826/13 2031253/13 79411639/13 485890738/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"-7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"-0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/32","im":"0","approx_re":"0.40625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2000*X^4+992*X^3+496*X^2-16, 1310720*X^4-587776*X^3+772096*X^2+243712*X+22528, -335609856*X^4-321650688*X^3-341639168*X^2-162791424*X-32964608, 48091889664*X^4+117121744896*X^3+131625648128*X^2+73064775680*X+16139681792, -2903397892096*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 357/5.04", "degz": 5, "h3": null, "sol": "1 16 -880 -180992 -12537584 691548416 293972347136 32854346485760 -349086840668912 -722814870658191104", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -16 0 496 992 -2000 22528 243712 772096 -587776 1310720 -32964608 -162791424 -341639168 -321650688 -335609856 16139681792 73064775680 131625648128 117121744896 48091889664 -2903397892096 -11613591568384 -17420387352576 -11613591568384 -2903397892096", "new_number": "5.105", "id": 187, "operator_tex": "\\theta^4-2^{4} x\\left(125\\theta^4-62\\theta^3-31\\theta^2+1\\right)+2^{11} x^{2}\\left(640\\theta^4-287\\theta^3+377\\theta^2+119\\theta+11\\right)-2^{16} x^{3}\\left(5121\\theta^4+4908\\theta^3+5213\\theta^2+2484\\theta+503\\right)+2^{23} 13 x^{4}\\left(441\\theta^4+1074\\theta^3+1207\\theta^2+670\\theta+148\\right)-2^{34} 13^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-336 -4761360", "discriminant": "5 1 -2000 1310720 -335609856 48091889664 -2903397892096", "aesz": "358", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f026b6514e3be9b730646bc9410b1049", "dim_h": null, "inst": " -336 -30306 -4761360 -962369202 -225176272240 -57956090342842 -15948662788921552 -4611322641626776234 -1384954980602120752512 -428673788588552594915990", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(128z-1)(32768z^2-208z+1)(-1+832z)^2", "discr_factors": "-2903397892096, z-1/128, (-1/832+z)^2, z^2-13/2048*z+1/32768", "dm_basis": null, "q": "0 1 64 16672 4375552 1259439920 384225030144 122172750749184 40062339694329856 13452434268185226904", "yuk": "1 -336 -242784 -128557056 -61591871712 -28147034030336 -12518515642853376 -5470391336600092672 -2360997192574501303520 -1009632180858946157138304", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/832","im":"0","approx_re":"0.00120192307692","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4096","im":"-7/4096*7^(1/2)","approx_re":"0.003173828125","approx_im":"-0.004522","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4096","im":"7/4096*7^(1/2)","approx_re":"0.003173828125","approx_im":"0.004522","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -8670-67337*X-236521*X^2-338368*X^3+180574*X^4, 12195324+57229956*X+95227623*X^2-97392996*X^3+14372019*X^4, -348606828+2405332584*X+12773408967*X^2+19715057046*X^3-1329790041*X^4, -435928166496-1588855377528*X-1485056132244*X^2+526315468068*X^3+1059950177784*X^4, -171432237780*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.106\" from ...", "degz": 5, "h3": "68", "sol": "1 30 414 -73680 -4205250 662070780 102624757200 -1397015959680 -1568094618197250 -88599206760593100", "n_discr_factors": "2", "c3": "880", "operator": "4 5 0 0 0 0 289 -8670 -67337 -236521 -338368 180574 12195324 57229956 95227623 -97392996 14372019 -348606828 2405332584 12773408967 19715057046 -1329790041 -435928166496 -1588855377528 -1485056132244 526315468068 1059950177784 -86401847841120 -385722535005000 -621441861952500 -428580594450000 -107145148612500", "new_number": "5.106", "id": 188, "operator_tex": "17^{2} \\theta^4+17 x\\left(10622\\theta^4-19904\\theta^3-13913\\theta^2-3961\\theta-510\\right)+3^{2} x^{2}\\left(1596891\\theta^4-10821444\\theta^3+10580847\\theta^2+6358884\\theta+1355036\\right)-3^{5} x^{3}\\left(5472387\\theta^4-81131922\\theta^3-52565469\\theta^2-9898488\\theta+1434596\\right)+2^{2} 3^{8} 127 x^{4}\\left(318018\\theta^4+157911\\theta^3-445563\\theta^2-476706\\theta-130792\\right)-2^{2} 3^{12} 5 127^{2} x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "3169/17 16293835/17", "discriminant": "5 289 180574 14372019 -1329790041 1059950177784 -107145148612500", "aesz": "360", "n_sing_complex": "2", "inst_int": "", "c2h": "20", "hash": "502b9ea354d34405e6925ab32d7f1cd2", "dim_h": "13", "inst": " 3169/17 -723497/68 16293835/17 -1870341966/17 251152956621/17 -149619526234291/68 5972572133461281/17 -1002102181825583618/17 174592809018036539989/17 -125381724314894019177405/68", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2278125z^3-33831z^2+182z-1)(17+6858z)^2", "discr_factors": "-107145148612500, (17/6858+z)^2, z^3-1253/84375*z^2+182/2278125*z-1/2278125", "dm_basis": null, "q": "0 1 -113 18849 -3369671 623742093 -118893275751 23213306920158 -4619950416402225 933631696850596452", "yuk": "1 3169/17 -1443825/17 439936714/17 -119703329649/17 31394119580794/17 -8079453978161994/17 2048592241777222552/17 -513076317214402142065/17 127278157774149077588695/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-17/6858","im":"0","approx_re":"-0.00247885680957","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1012500*(18559157716+1778062500*109^(1/2))^(1/3)+136241/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"-1/2*3^(1/2)*(1/506250*(18559157716+1778062500*109^(1/2))^(1/3)+272482/253125/(18559157716+1778062500*109^(1/2))^(1/3))","approx_re":"0.001817","approx_im":"-0.005986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1012500*(18559157716+1778062500*109^(1/2))^(1/3)+136241/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"1/2*3^(1/2)*(1/506250*(18559157716+1778062500*109^(1/2))^(1/3)+272482/253125/(18559157716+1778062500*109^(1/2))^(1/3))","approx_re":"0.001817","approx_im":"0.005986","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/506250*(18559157716+1778062500*109^(1/2))^(1/3)-272482/253125/(18559157716+1778062500*109^(1/2))^(1/3)+1253/253125","im":"0","approx_re":"0.011217","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/5","4/5","6/5","7/5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -2765*X^4-3610*X^3-3055*X^2-1250*X-200, 122496*X^4+302208*X^3+353216*X^2+192640*X+39040, -2805760*X^4-9830400*X^3-14196736*X^2-9093120*X-2048000, 524288*(2*X+1)*(30*X^3+105*X^2+122*X+46), -33554432*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.107\" from ...", "degz": 5, "h3": null, "sol": "1 8 120 2240 50680 1387008 43627584 1473838080 51214208760 1801126733120", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 25 -200 -1250 -3055 -3610 -2765 39040 192640 353216 302208 122496 -2048000 -9093120 -14196736 -9830400 -2805760 24117248 112197632 182976512 125829120 31457280 -100663296 -469762048 -771751936 -536870912 -134217728", "new_number": "5.107", "id": 189, "operator_tex": "5^{2} \\theta^4-5 x\\left(553\\theta^4+722\\theta^3+611\\theta^2+250\\theta+40\\right)+2^{6} x^{2}\\left(1914\\theta^4+4722\\theta^3+5519\\theta^2+3010\\theta+610\\right)-2^{12} x^{3}\\left(685\\theta^4+2400\\theta^3+3466\\theta^2+2220\\theta+500\\right)+2^{19} x^{4}(2\\theta+1)(30\\theta^3+105\\theta^2+122\\theta+46)-2^{25} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "11/5 71/5", "discriminant": "5 25 -2765 122496 -2805760 31457280 -134217728", "aesz": "364", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c5b4bc60bc9d39ea420bd49fad182557", "dim_h": null, "inst": " 11/5 -8/5 71/5 738 26841/5 71028/5 1285026/5 50351594/5 786252554/5 6885546964/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32768z^3-2560z^2+85z-1)(-5+64z)^2", "discr_factors": "-134217728, (-5/64+z)^2, z^3-5/64*z^2+85/32768*z-1/32768", "dm_basis": null, "q": "0 1 -18 277 -4088 49790 -601226 7017898 -81144608 823861259", "yuk": "1 11/5 -53/5 1928/5 236107/5 3355136/5 15343912/5 440763929/5 5156050447 573178113794/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(388+114*114^(1/2))^(1/3)+55/384/(388+114*114^(1/2))^(1/3)+5/192","im":"0","approx_re":"0.023029","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(388+114*114^(1/2))^(1/3)-55/768/(388+114*114^(1/2))^(1/3)+5/192","im":"1/2*3^(1/2)*(-1/768*(388+114*114^(1/2))^(1/3)-55/384/(388+114*114^(1/2))^(1/3))","approx_re":"0.027548","approx_im":"-0.023797","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(388+114*114^(1/2))^(1/3)-55/768/(388+114*114^(1/2))^(1/3)+5/192","im":"-1/2*3^(1/2)*(-1/768*(388+114*114^(1/2))^(1/3)-55/384/(388+114*114^(1/2))^(1/3))","approx_re":"0.027548","approx_im":"0.023797","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/64","im":"0","approx_re":"0.078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -396*X^4-312*X^3-260*X^2-104*X-16, 60032*X^4+88448*X^3+81216*X^2+35456*X+5888, -4271104*X^4-8945664*X^3-8898560*X^2-4042752*X-696320, 163840*(2*X+1)*(418*X^3+951*X^2+846*X+260), -39321600*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.108\" from ...", "degz": 5, "h3": "64", "sol": "1 16 720 44800 3245200 256386816 21423257856 1861674946560 166539035005200 15234386035897600", "n_discr_factors": "3", "c3": "-36", "operator": "4 5 0 0 0 0 1 -16 -104 -260 -312 -396 5888 35456 81216 88448 60032 -696320 -4042752 -8898560 -8945664 -4271104 42598400 223805440 433029120 380108800 136970240 -943718400 -4639948800 -7982284800 -5662310400 -1415577600", "new_number": "5.108", "id": 190, "operator_tex": "\\theta^4-2^{2} x\\left(99\\theta^4+78\\theta^3+65\\theta^2+26\\theta+4\\right)+2^{6} x^{2}\\left(938\\theta^4+1382\\theta^3+1269\\theta^2+554\\theta+92\\right)-2^{10} x^{3}\\left(4171\\theta^4+8736\\theta^3+8690\\theta^2+3948\\theta+680\\right)+2^{15} 5 x^{4}(2\\theta+1)(418\\theta^3+951\\theta^2+846\\theta+260)-2^{19} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "4 1268", "discriminant": "5 1 -396 60032 -4271104 136970240 -1415577600", "aesz": "365", "n_sing_complex": "0", "inst_int": "", "c2h": "112", "hash": "f84624e83cd4eb2cc90693bd5627efcf", "dim_h": "20", "inst": " 4 107/2 1268 89439/4 396908 15177407/2 157176420 14114736207/4 86763346976 4638040656201/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(108z-1)(2048z^2-128z+1)(-1+80z)^2", "discr_factors": "-1415577600, (-1/80+z)^2, z-1/108, z^2-1/16*z+1/2048", "dm_basis": null, "q": "0 1 -40 832 -14592 262032 -3793664 56464896 -757760000 10626762520", "yuk": "1 4 432 34240 1431456 49613504 1639194624 53911512064 1806687665952 63250479979744", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32-1/64*2^(1/2)","im":"0","approx_re":"0.009153","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80","im":"0","approx_re":"0.0125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/64*2^(1/2)","im":"0","approx_re":"0.053347","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -380*X^4-616*X^3-454*X^2-146*X-18, 19120*X^4+25216*X^3+9580*X^2+2568*X+540, -321600*X^4-406656*X^3-365136*X^2-173520*X-31104, 1152*(2*X+1)*(760*X^3+1464*X^2+1211*X+375), -746496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.109\" from ...", "degz": 5, "h3": null, "sol": "1 18 1782 276660 52396470 11120006268 2541130506684 611646862545576 152996910629924790 39422206347956983980", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -18 -146 -454 -616 -380 540 2568 9580 25216 19120 -31104 -173520 -365136 -406656 -321600 432000 2259072 4476672 4248576 1751040 -2239488 -10450944 -17169408 -11943936 -2985984", "new_number": "5.109", "id": 191, "operator_tex": "\\theta^4-2 x\\left(190\\theta^4+308\\theta^3+227\\theta^2+73\\theta+9\\right)+2^{2} x^{2}\\left(4780\\theta^4+6304\\theta^3+2395\\theta^2+642\\theta+135\\right)-2^{4} 3 x^{3}\\left(6700\\theta^4+8472\\theta^3+7607\\theta^2+3615\\theta+648\\right)+2^{7} 3^{2} x^{4}(2\\theta+1)(760\\theta^3+1464\\theta^2+1211\\theta+375)-2^{10} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "50 68472", "discriminant": "5 1 -380 19120 -321600 1751040 -2985984", "aesz": "373", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8b0fbfc0016c3fb02fd42d4ff919e0f8", "dim_h": null, "inst": " 50 1299 68472 5536032 555252324 63681370020 8019074485356 1081455690635976 153688981728011670 22762847713147431542", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+324z)(24z-1)^2(4z-1)^2", "discr_factors": "-2985984, (z-1/4)^2, (z-1/24)^2, -1/324+z", "dm_basis": null, "q": "0 1 -74 831 -59428 -5785081 -780141174 -110687328275 -16669325292008 -2616158955916800", "yuk": "1 50 10442 1848794 354316490 69406540550 13755177783506 2750542548477158 553705313959936202 112039267679722356224", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324","im":"0","approx_re":"0.00308641975309","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -3598*X^4-7280*X^3-6090*X^2-2450*X-392, 53988*X^4+222144*X^3+324888*X^2+201348*X+45584, -137608*X^4-919968*X^3-1987728*X^2-1621032*X-443296, -92192*X^4-474688*X^3-770400*X^2-507856*X-118592, -96*(4*X+5)*(3*X+2)*(3*X+4)*(4*X+3)]", "text": "This is operator \"5.10\" from ...", "degz": 5, "h3": "56", "sol": "1 8 144 3680 114400 4007808 151802784 6070154112 252560008800 10831854176000", "n_discr_factors": "4", "c3": "-78", "operator": "4 5 0 0 0 0 49 -392 -2450 -6090 -7280 -3598 45584 201348 324888 222144 53988 -443296 -1621032 -1987728 -919968 -137608 -118592 -507856 -770400 -474688 -92192 -11520 -50496 -80544 -55296 -13824", "new_number": "5.10", "id": 192, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(257\\theta^4+520\\theta^3+435\\theta^2+175\\theta+28\\right)+2^{2} x^{2}\\left(13497\\theta^4+55536\\theta^3+81222\\theta^2+50337\\theta+11396\\right)-2^{3} x^{3}\\left(17201\\theta^4+114996\\theta^3+248466\\theta^2+202629\\theta+55412\\right)-2^{4} x^{4}\\left(5762\\theta^4+29668\\theta^3+48150\\theta^2+31741\\theta+7412\\right)-2^{5} 3 x^{5}(4\\theta+5)(3\\theta+2)(3\\theta+4)(4\\theta+3)", "superseek": "30/7 124", "discriminant": "5 49 -3598 53988 -137608 -92192 -13824", "aesz": "59", "n_sing_complex": "0", "inst_int": "", "c2h": "92", "hash": "f47563daeb0f7328bd675f13cfb84a55", "dim_h": "17", "inst": " 30/7 129/14 124 72129/56 130434/7 2064581/7 36176970/7 1355749161/14 13366726990/7 549282494475/14", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(4z-1)(16z-1)(54z-1)(7+2z)^2", "discr_factors": "-13824, z-1/54, z-1/4, (7/2+z)^2, z-1/16", "dm_basis": null, "q": "0 1 -18 201 -2364 21756 -253410 1628554 -30934248 -60999180", "yuk": "1 30/7 78 23466/7 577578/7 16304280/7 445973478/7 12408700740/7 347072362794/7 9744343999176/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/2","im":"0","approx_re":"-3.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","3/4","5/4","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -1464*X^4-1776*X^3-1392*X^2-504*X-72, 62128*X^4+85696*X^3+55216*X^2+20448*X+3648, -1032576*X^4-1716480*X^3-1648000*X^2-811008*X-158208, 6766592*X^4+17514496*X^3+19759104*X^2+10780672*X+2293760, -1572864*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.110\" from ...", "degz": 5, "h3": null, "sol": "1 8 264 13760 873640 62035008 4737460224 380801236992 31795322783400 2733835498222400", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 9 -72 -504 -1392 -1776 -1464 3648 20448 55216 85696 62128 -158208 -811008 -1648000 -1716480 -1032576 2293760 10780672 19759104 17514496 6766592 -12582912 -53477376 -83361792 -56623104 -14155776", "new_number": "5.110", "id": 193, "operator_tex": "3^{2} \\theta^4-2^{3} 3 x\\left(61\\theta^4+74\\theta^3+58\\theta^2+21\\theta+3\\right)+2^{4} x^{2}\\left(3883\\theta^4+5356\\theta^3+3451\\theta^2+1278\\theta+228\\right)-2^{7} x^{3}\\left(8067\\theta^4+13410\\theta^3+12875\\theta^2+6336\\theta+1236\\right)+2^{14} x^{4}\\left(413\\theta^4+1069\\theta^3+1206\\theta^2+658\\theta+140\\right)-2^{19} 3 x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "32/3 6752/3", "discriminant": "5 9 -1464 62128 -1032576 6766592 -14155776", "aesz": "377", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4b8e1b4341fae957e1766a0071de5ba5", "dim_h": null, "inst": " 32/3 731/6 6752/3 355219/6 5936896/3 152130019/2 9620513888/3 434121543602/3 6880335263104 1022806701520268/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(4z-1)(108z-1)(8z-1)(-3+64z)^2", "discr_factors": "-14155776, z-1/8, z-1/108, z-1/4, (-3/64+z)^2", "dm_basis": null, "q": "0 1 -24 54 -2336 -68931 -3364560 -160274470 -8059944576 -422609180202", "yuk": "1 32/3 2956/3 182336/3 3789988 742112032/3 49290311416/3 3299836263616/3 222270241694188/3 15047293220590784/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64","im":"0","approx_re":"0.046875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -120*X^4-180*X^3-136*X^2-46*X-6, 1252*X^4-1592*X^3-5668*X^2-4132*X-1008, 5232*X^4+40512*X^3+28592*X^2+1032*X-3240, -50240*X^4+3200*X^3+135920*X^2+132880*X+38400, -4800*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.111\" from ...", "degz": 5, "h3": null, "sol": "1 6 246 13020 832950 59364756 4543863996 365802101496 30576859664310 2631271897080420", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -6 -46 -136 -180 -120 -1008 -4132 -5668 -1592 1252 -3240 1032 28592 40512 5232 38400 132880 135920 3200 -50240 -168000 -681600 -1032000 -691200 -172800", "new_number": "5.111", "id": 194, "operator_tex": "\\theta^4-2 x\\left(60\\theta^4+90\\theta^3+68\\theta^2+23\\theta+3\\right)+2^{2} x^{2}\\left(313\\theta^4-398\\theta^3-1417\\theta^2-1033\\theta-252\\right)+2^{3} x^{3}\\left(654\\theta^4+5064\\theta^3+3574\\theta^2+129\\theta-405\\right)-2^{4} 5 x^{4}\\left(628\\theta^4-40\\theta^3-1699\\theta^2-1661\\theta-480\\right)-2^{6} 3 5^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "12 2320", "discriminant": "5 1 -120 1252 5232 -50240 -172800", "aesz": "380", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85214e3836a67470a05358a4d38fb124", "dim_h": null, "inst": " 12 511/4 2320 63507 2180312 85468145 3674561480 169146821452 8204014122468 829356661449007/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(108z-1)(4z+1)^2(10z-1)^2", "discr_factors": "-172800, (z+1/4)^2, (z-1/10)^2, z-1/108", "dm_basis": null, "q": "0 1 -22 -81 -316 -83913 -3983850 -187254163 -9590018392 -513687167424", "yuk": "1 12 1034 62652 4065482 272539012 18461182994 1260374587652 86603176648906 5980726295341824", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/10","im":"0","approx_re":"0.1","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*X*(22*X^3+8*X^2+5*X+1), 1088*X^4-4864*X^3-8480*X^2-5216*X-1152, 36352*X^4+153600*X^3+85760*X^2-9984*X-13824, -417792*X^4+344064*X^3+1812480*X^2+1603584*X+442368, -294912*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.112\" from ...", "degz": 5, "h3": null, "sol": "1 0 72 1728 72360 3024000 138700800 6638284800 330006738600 16870582713600", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 0 -4 -20 -32 -88 -1152 -5216 -8480 -4864 1088 -13824 -9984 85760 153600 36352 442368 1603584 1812480 344064 -417792 -4423680 -18284544 -28016640 -18874368 -4718592", "new_number": "5.112", "id": 195, "operator_tex": "\\theta^4-2^{2} x\\theta(22\\theta^3+8\\theta^2+5\\theta+1)+2^{5} x^{2}\\left(34\\theta^4-152\\theta^3-265\\theta^2-163\\theta-36\\right)+2^{8} x^{3}\\left(142\\theta^4+600\\theta^3+335\\theta^2-39\\theta-54\\right)-2^{11} 3 x^{4}\\left(68\\theta^4-56\\theta^3-295\\theta^2-261\\theta-72\\right)-2^{15} 3^{2} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "4 940", "discriminant": "5 1 -88 1088 36352 -417792 -4718592", "aesz": "395", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2d13c01eaf16983977dfb0325c5f376e", "dim_h": null, "inst": " 4 60 940 19091 463904 12973348 400305324 13268626837 464051654448 16924201942912", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "A_{n}=\\sum_{j,k=0}^{n}(-4)^{n-k}\\dbinom{n}{j}\\dbinom{n}{k}\\dbinom{2j}{j}\\dbinom{j}{k}\\dbinom{n+j}{n}\\dbinom{2n-2k}{n}", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(8z+1)(64z-1)(-1+24z)^2", "discr_factors": "-4718592, z+1/16, (-1/24+z)^2, z+1/8, z-1/64", "dm_basis": null, "q": "0 1 -4 -194 -2768 -45843 -1241656 -43214286 -1607604288 -61898933306", "yuk": "1 4 484 25384 1222308 57988004 2802269032 137304726136 6793538162852 338293656117976", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 200+2435*X^4+4390*X^3+3545*X^2+1350*X, 8960+32416*X^4+84448*X^3+94176*X^2+48640*X, -1341440-555264*X^4-3809280*X^3-7881984*X^2-5744640*X, -4096*(2*X+1)*(518*X^3+2397*X^2+2940*X+1048), -196608*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.113\" from ...", "degz": 5, "h3": "40", "sol": "1 -8 216 -8000 359800 -18119808 984481344 -56406924288 3361129457400 -206391102632000", "n_discr_factors": "3", "c3": "-116", "operator": "4 5 0 0 0 0 25 200 1350 3545 4390 2435 8960 48640 94176 84448 32416 -1341440 -5744640 -7881984 -3809280 -555264 -4292608 -20627456 -33902592 -21757952 -4243456 -4718592 -23199744 -39911424 -28311552 -7077888", "new_number": "5.113", "id": 196, "operator_tex": "5^{2} \\theta^4+5 x\\left(487\\theta^4+878\\theta^3+709\\theta^2+270\\theta+40\\right)+2^{5} x^{2}\\left(1013\\theta^4+2639\\theta^3+2943\\theta^2+1520\\theta+280\\right)-2^{8} x^{3}\\left(2169\\theta^4+14880\\theta^3+30789\\theta^2+22440\\theta+5240\\right)-2^{12} x^{4}(2\\theta+1)(518\\theta^3+2397\\theta^2+2940\\theta+1048)-2^{16} 3 x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "-29/5 -1481/5", "discriminant": "5 25 2435 32416 -555264 -4243456 -7077888", "aesz": "403\n", "n_sing_complex": "0", "inst_int": "", "c2h": "64", "hash": "492c8a69e87d470c87b9557834f0fc5b", "dim_h": "12", "inst": " -29/5 229/5 -1481/5 43173/5 -155267 20755686/5 -522832342/5 3084982763 -456385490902/5 2890433835829", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z+1)(1024z^2-64z-1)(5+16z)^2", "discr_factors": "-7077888, z+1/27, (5/16+z)^2, z^2-1/16*z-1/1024", "dm_basis": null, "q": "0 1 22 173 88 -50970 -542658 -16846494 153347488 -8771135821", "yuk": "1 -29/5 1803/5 -40016/5 552975 -97041904/5 4483189992/5 -35866298667 1579511727631 -332705022907574/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/16","im":"0","approx_re":"-0.3125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32-1/32*2^(1/2)","im":"0","approx_re":"-0.012944","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/32*2^(1/2)","im":"0","approx_re":"0.075444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -8960*X^4+512*X^3-896*X^2-1152*X-240, 29360128*X^4+8912896*X^3+19791872*X^2+6422528*X+688128, -43486543872*X^4-53150220288*X^3-54962159616*X^2-24763170816*X-4378853376, 927712935936*(2*X+1)*(16*X^3+32*X^2+28*X+9), -1899956092796928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.256\n", "degz": 5, "h3": null, "sol": "1 240 118032 72810240 50454043920 37588282986240 29441419461484800 23928102481655623680 20008390694960036912400 17112909862578398281670400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -240 -1152 -896 512 -8960 688128 6422528 19791872 8912896 29360128 -4378853376 -24763170816 -54962159616 -53150220288 -43486543872 8349416423424 42674795053056 81638738362368 74217034874880 29686813949952 -5699868278390784 -26599385299156992 -43698990134329344 -30399297484750848 -7599824371187712", "new_number": "5.114", "id": 197, "operator_tex": "\\theta^4-2^{4} x\\left(560\\theta^4-32\\theta^3+56\\theta^2+72\\theta+15\\right)+2^{15} x^{2}\\left(896\\theta^4+272\\theta^3+604\\theta^2+196\\theta+21\\right)-2^{24} 3^{2} x^{3}\\left(288\\theta^4+352\\theta^3+364\\theta^2+164\\theta+29\\right)+2^{35} 3^{3} x^{4}(2\\theta+1)(16\\theta^3+32\\theta^2+28\\theta+9)-2^{46} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-1312 -127846048", "discriminant": "5 1 -8960 29360128 -43486543872 29686813949952 -7599824371187712", "aesz": "412", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4a9870395db313fa368bbafcfc6a7435", "dim_h": null, "inst": " -1312 -301048 -127846048 -70845744192 -45645879602784 -32400712790843032 -24605134334059982880 -19638165804689158014016 -16283852889535935616536320 -13916857197623082953029203496", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+768z)(3072z-1)^2(1024z-1)^2", "discr_factors": "-7599824371187712, (z-1/1024)^2, (z-1/3072)^2, -1/768+z", "dm_basis": null, "q": "0 1 -192 51296 11540480 12988194352 10786354931712 9649495854113280 8826933516730236928 8251689476344319466136", "yuk": "1 -1312 -2409696 -3451844608 -4534130037984 -5705734950349312 -6998553966276347904 -8439561076582574129152 -10054740892005383033214176 -11870928756471697067906821888", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072","im":"0","approx_re":"0.000325520833333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1024","im":"0","approx_re":"0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -25515*X^4+1458*X^3-2349*X^2-3078*X-612, 238085568*X^4+72275976*X^3+155653164*X^2+47711592*X+5038848, -1004193907488*X^4-1227348109152*X^3-1228897791108*X^2-531540910908*X-90225927216, 13556617751088*(2*X+1)*(72*X^3+144*X^2+121*X+36), -39531097362172608*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.115\" from ...", "degz": 5, "h3": null, "sol": "1 612 836244 1455469200 2860801391700 6059421423960912 13508588989452254544 31266101362632688176768 74474712760002295678809300 181468924393263390531729853200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -612 -3078 -2349 1458 -25515 5038848 47711592 155653164 72275976 238085568 -90225927216 -531540910908 -1228897791108 -1227348109152 -1004193907488 488038239039168 2616427225959984 5232854451919968 4880382390391680 1952152956156672 -948746336692142592 -4664669488736367744 -8024812764521039424 -5692478020152855552 -1423119505038213888", "new_number": "5.115", "id": 198, "operator_tex": "\\theta^4-3^{2} x\\left(2835\\theta^4-162\\theta^3+261\\theta^2+342\\theta+68\\right)+2^{2} 3^{9} x^{2}\\left(3024\\theta^4+918\\theta^3+1977\\theta^2+606\\theta+64\\right)-2^{2} 3^{16} x^{3}\\left(5832\\theta^4+7128\\theta^3+7137\\theta^2+3087\\theta+524\\right)+2^{4} 3^{25} x^{4}(2\\theta+1)(72\\theta^3+144\\theta^2+121\\theta+36)-2^{6} 3^{31} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "-3843 -2715123387", "discriminant": "5 1 -25515 238085568 -1004193907488 1952152956156672 -1423119505038213888", "aesz": "413", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2cc16ba9e49744872ae72bfd6b36d064", "dim_h": null, "inst": " -3843 -9668061/4 -2715123387 -3984527414448 -6798579266503881 -51123042830089032933/4 -25706383183809995205276 -54343845169575769245295944 -119359400309804811454246198794 -1080842876017895839905897842260215/4", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+2187z)(8748z-1)^2(2916z-1)^2", "discr_factors": "-1423119505038213888, -1/2187+z, (z-1/2916)^2, (z-1/8748)^2", "dm_basis": null, "q": "0 1 -630 416421 126112308 548463737790 1170888390400770 2799731368218348252 6801167133946470946392 16882302608144936756393337", "yuk": "1 -3843 -19339965 -73308335292 -255009773864637 -849822408312988968 -2760644312898135449796 -8817289432046828355413511 -27824048726823048863365387965 -87013002825847707550218787256118", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8748","im":"0","approx_re":"0.000114311842707","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916","im":"0","approx_re":"0.000342935528121","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2187","im":"0","approx_re":"0.000457247370828","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -143360*X^4+8192*X^3-11776*X^2-15872*X-2928, 7516192768*X^4+2281701376*X^3+4722786304*X^2+1333788672*X+136839168, -178120883699712*X^4-217703302299648*X^3-209044648230912*X^2-85349590106112*X-13567801688064, 15199648742375424*(2*X+1)^2*(32*X^2+48*X+27), -498062089990157893632*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.116\" from ...", "degz": 5, "h3": null, "sol": "1 2928 21778704 210543916800 2314156512099600 27488690114886620928 344147638371001770057984 4476204502424126417277775872 59935255804224500535102931606800 821047893185561385259001438019782400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -2928 -15872 -11776 8192 -143360 136839168 1333788672 4722786304 2281701376 7516192768 -13567801688064 -85349590106112 -209044648230912 -217703302299648 -178120883699712 410390516044136448 2371145203810566144 5046283382468640768 4863887597560135680 1945555039024054272 -4482558809911421042688 -23906980319527578894336 -43829463919133894639616 -31875973759370105192448 -7968993439842526298112", "new_number": "5.116", "id": 199, "operator_tex": "\\theta^4-2^{4} x\\left(8960\\theta^4-512\\theta^3+736\\theta^2+992\\theta+183\\right)+2^{19} x^{2}\\left(14336\\theta^4+4352\\theta^3+9008\\theta^2+2544\\theta+261\\right)-2^{32} 3^{2} x^{3}\\left(4608\\theta^4+5632\\theta^3+5408\\theta^2+2208\\theta+351\\right)+2^{49} 3^{3} x^{4}(2\\theta+1)^2(32\\theta^2+48\\theta+27)-2^{64} 3^{3} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "-22432 -425234532128", "discriminant": "5 1 -143360 7516192768 -178120883699712 1945555039024054272 -7968993439842526298112", "aesz": "414", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "973fceefe183415b5d0e15e5a0bd12f5", "dim_h": null, "inst": " -22432 -74752296 -425234532128 -3159114140624208 -27288043319514722784 -259726695952732459836424 -2645142433012514345862004384 -28316529866393670178086851226448 -314958263334147865059738941466499840 -3610976085115086767325632191759531906104", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+12288z)(49152z-1)^2(16384z-1)^2", "discr_factors": "-7968993439842526298112, (z-1/16384)^2, -1/12288+z, (z-1/49152)^2", "dm_basis": null, "q": "0 1 -4160 14307936 -4799162368 305314579154480 2880402759672502272 36030068935189095875072 444062360352612486236995584 5607175020973038539401813981848", "yuk": "1 -22432 -598040800 -11481332389888 -202183305597990112 -3411005414939340370432 -56100966325801693255075840 -907283854523292420630667526144 -14498063291593559333363773425931488 -229604573970593793628549699810410773248", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/49152","im":"0","approx_re":"2.03450520833e-05","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16384","im":"0","approx_re":"6.103515625e-05","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12288","im":"0","approx_re":"8.13802083333e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -6531840*X^4+373248*X^3-445824*X^2-632448*X-100080, 15603175784448*X^4+4736678363136*X^3+9248906280960*X^2+2267723464704*X+216065802240, -16847578091810193408*X^4-20591484334434680832*X^3-18589534468586864640*X^2-6889827460385341440*X-956920480609075200, 29112614942648014209024*(2*X+1)*(144*X^3+288*X^2+212*X+45), -43464901208453944029959159808*(2*X+1)*(3*X+1)*(3*X+5)*(2*X+3)]", "text": "This is operator \"5.117\" from ...", "degz": 5, "h3": null, "sol": "1 100080 32388472080 14040210456518400 6986717866758049635600 3772458103454342599604186880 2150844696650109517925917873824000 1275109642885178332905095690665278566400 778508115793959278216278526533093193356746000 486356416968020653385056396023782315899514467680000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -100080 -632448 -445824 373248 -6531840 216065802240 2267723464704 9248906280960 4736678363136 15603175784448 -956920480609075200 -6889827460385341440 -18589534468586864640 -20591484334434680832 -16847578091810193408 1310067672419160639406080 8792009712679700291125248 20728181839165386116825088 20961082758706570230497280 8384433103482628092198912 -651973518126809160449387397120 -4085700713594670738816161021952 -8301796130814703309722199523328 -6258945774017367940314119012352 -1564736443504341985078529753088", "new_number": "5.117", "id": 200, "operator_tex": "\\theta^4-2^{4} 3^{2} x\\left(45360\\theta^4-2592\\theta^3+3096\\theta^2+4392\\theta+695\\right)+2^{15} 3^{9} x^{2}\\left(24192\\theta^4+7344\\theta^3+14340\\theta^2+3516\\theta+335\\right)-2^{24} 3^{16} x^{3}\\left(23328\\theta^4+28512\\theta^3+25740\\theta^2+9540\\theta+1325\\right)+2^{35} 3^{25} x^{4}(2\\theta+1)(144\\theta^3+288\\theta^2+212\\theta+45)-2^{46} 3^{31} x^{5}(2\\theta+1)(3\\theta+1)(3\\theta+5)(2\\theta+3)", "superseek": "-1083168 -32204207145918624", "discriminant": "5 1 -6531840 15603175784448 -16847578091810193408 8384433103482628092198912 -1564736443504341985078529753088", "aesz": "415", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "480ebcdf255c1fe6ad1cac7896e482fa", "dim_h": null, "inst": " -1083168 -148187321784 -32204207145918624 -9094164085684648886400 -2986312705706358630596895840 -1080822779563988585708781595875672 -418678400032411128958261610458192634400 -170512713324867495439431183588063404996681856 -72164211423634021087201630449565017555223458266880 -31484346463454840125529790554432279370457859295871119720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+559872z)(2239488z-1)^2(746496z-1)^2", "discr_factors": "-1564736443504341985078529753088, (z-1/746496)^2, -1/559872+z, (z-1/2239488)^2", "dm_basis": null, "q": "0 1 -232128 38165901408 -3954444918122496 792066913975884037680 82443006014452891648911360 66562674314905399442323008250368 29188308750629714860958271106063663104 14392982054366003632789898251006034260712088", "yuk": "1 -1083168 -1185499657440 -869513592940886016 -582026501485003028387040 -373289088213294828824613063168 -233457720385821535382611603148605440 -143606691211117017232683732387160074682368 -87302509222332157664989348023589948361329497312 -52607710127829201372569988597732898667271494017441536", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2239488","im":"0","approx_re":"4.46530635574e-07","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/746496","im":"0","approx_re":"1.33959190672e-06","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/559872","im":"0","approx_re":"1.7861225423e-06","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","1/2","3/2","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8960*X^4-512*X^3+896*X^2+1152*X+240, 29360128*X^4+8912896*X^3+19791872*X^2+6422528*X+688128, 43486543872*X^4+53150220288*X^3+54962159616*X^2+24763170816*X+4378853376, 927712935936*(2*X+1)*(16*X^3+32*X^2+28*X+9), 1899956092796928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.118\" from ...", "degz": 5, "h3": null, "sol": "1 -240 118032 -72810240 50454043920 -37588282986240 29441419461484800 -23928102481655623680 20008390694960036912400 -17112909862578398281670400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 240 1152 896 -512 8960 688128 6422528 19791872 8912896 29360128 4378853376 24763170816 54962159616 53150220288 43486543872 8349416423424 42674795053056 81638738362368 74217034874880 29686813949952 5699868278390784 26599385299156992 43698990134329344 30399297484750848 7599824371187712", "new_number": "5.118", "id": 201, "operator_tex": "\\theta^4+2^{4} x\\left(560\\theta^4-32\\theta^3+56\\theta^2+72\\theta+15\\right)+2^{15} x^{2}\\left(896\\theta^4+272\\theta^3+604\\theta^2+196\\theta+21\\right)+2^{24} 3^{2} x^{3}\\left(288\\theta^4+352\\theta^3+364\\theta^2+164\\theta+29\\right)+2^{35} 3^{3} x^{4}(2\\theta+1)(16\\theta^3+32\\theta^2+28\\theta+9)+2^{46} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "1312 127846048", "discriminant": "5 1 8960 29360128 43486543872 29686813949952 7599824371187712", "aesz": "416", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3ae3241981d64d9c9cc38b29974fa202", "dim_h": null, "inst": " 1312 -301376 127846048 -70845744192 45645879602784 -32400712822804544 24605134334059982880 -19638165804689158014016 16283852889535935616536320 -13916857197623094364499104192", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+768z)(1024z+1)^2(3072z+1)^2", "discr_factors": "7599824371187712, (z+1/1024)^2, 1/768+z, (z+1/3072)^2", "dm_basis": null, "q": "0 1 192 51296 -11540480 12988194352 -10786354931712 9649495854113280 -8826933516730236928 8251689476344319466136", "yuk": "1 1312 -2409696 3451844608 -4534130037984 5705734950349312 -6998553966276347904 8439561076582574129152 -10054740892005383033214176 11870928756471697067906821888", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1024","im":"0","approx_re":"-0.0009765625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072","im":"0","approx_re":"-0.000325520833333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -252*X^4-1224*X^3-870*X^2-258*X-30, -107728*X^4-163072*X^3+27772*X^2+33928*X+6540, -8032320*X^4-2770560*X^3-1279440*X^2-648720*X-129600, -86400*(2*X+1)*(304*X^3+356*X^2+97*X-15), 86400000*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.119\" from ...", "degz": 5, "h3": null, "sol": "1 30 4530 1074900 312527250 102033732780 35906547161100 13317330982527000 5134910691028511250 2040019718806659661500", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -258 -870 -1224 -252 6540 33928 27772 -163072 -107728 -129600 -648720 -1279440 -2770560 -8032320 1296000 -5788800 -47520000 -87782400 -52531200 259200000 1209600000 1987200000 1382400000 345600000", "new_number": "5.119", "id": 202, "operator_tex": "\\theta^4-2 3 x\\left(42\\theta^4+204\\theta^3+145\\theta^2+43\\theta+5\\right)-2^{2} x^{2}\\left(26932\\theta^4+40768\\theta^3-6943\\theta^2-8482\\theta-1635\\right)-2^{4} 3^{2} 5 x^{3}\\left(11156\\theta^4+3848\\theta^3+1777\\theta^2+901\\theta+180\\right)-2^{7} 3^{3} 5^{2} x^{4}(2\\theta+1)(304\\theta^3+356\\theta^2+97\\theta-15)+2^{10} 3^{3} 5^{5} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "138 278872", "discriminant": "5 1 -252 -107728 -8032320 -52531200 345600000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "61d7a82df3cf3c429b6286bc39ccb426", "dim_h": null, "inst": " 138 1139 278872 21493934 3832908140 579012503372 108834867317748 20766243538432990 4266742650765644330 905578914257005697330", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z-1)(500z-1)(12z+1)(1+120z)^2", "discr_factors": "345600000, z-1/4, z+1/12, (1/120+z)^2, z-1/500", "dm_basis": null, "q": "0 1 -138 8647 -801124 31426915 -8221373958 -454530197791 -208804715653736 -37126365593596418", "yuk": "1 138 9250 7529682 1375621026 479113517638 125066708267146 37330359489987702 10632316693053311906 3110455392408162246252", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/120","im":"0","approx_re":"-0.00833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/500","im":"0","approx_re":"0.002","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 624*X^4-672*X^3-464*X^2-128*X-16, 2048*X*(37*X^3-137*X^2-10*X-1), -11862016*X^4-29884416*X^3-23134208*X^2-8650752*X-1245184, -1509949440*X^4-2516582400*X^3-1509949440*X^2-251658240*X+41943040, 26843545600*(X+1)^4]", "text": "This is operator \"5.11\" from ...", "degz": 5, "h3": "32", "sol": "1 16 656 40192 3006736 252252416 22788843776 2168291250176 214374731955472 21830665093755136", "n_discr_factors": "4", "c3": "304", "operator": "4 5 0 0 0 0 1 -16 -128 -464 -672 624 0 -2048 -20480 -280576 75776 -1245184 -8650752 -23134208 -29884416 -11862016 41943040 -251658240 -1509949440 -2516582400 -1509949440 26843545600 107374182400 161061273600 107374182400 26843545600", "new_number": "5.11", "id": 203, "operator_tex": "\\theta^4+2^{4} x\\left(39\\theta^4-42\\theta^3-29\\theta^2-8\\theta-1\\right)+2^{11} x^{2}\\theta(37\\theta^3-137\\theta^2-10\\theta-1)-2^{16} x^{3}\\left(181\\theta^4+456\\theta^3+353\\theta^2+132\\theta+19\\right)-2^{23} 5 x^{4}\\left(36\\theta^4+60\\theta^3+36\\theta^2+6\\theta-1\\right)+2^{30} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "112 378800", "discriminant": "5 1 624 75776 -11862016 -1509949440 26843545600", "aesz": "71", "n_sing_complex": "0", "inst_int": "", "c2h": "32", "hash": "cf4de65b0566a4f6294132c167d227eb", "dim_h": "8", "inst": " 112 -4570 378800 -40565898 5098744272 -707870516690 105432934036208 -16535931080941762 2698540270299157632 -454448691741869508414", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(16z-1)(128z-1)(128z+1)(1+320z)^2", "discr_factors": "26843545600, z+1/128, z-1/16, z-1/128, (1/320+z)^2", "dm_basis": null, "q": "0 1 -64 5152 -592896 81453872 -12454109184 2036443729408 -348923423752192 61860266815790744", "yuk": "1 112 -36448 10227712 -2596253920 637343034112 -152900021413888 36163496374419456 -8466396716038436064 1967235857048096141440", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128","im":"0","approx_re":"-0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/320","im":"0","approx_re":"-0.003125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -656*X^4-544*X^3-400*X^2-128*X-16, 129024*X^4+110592*X^3+33792*X^2+6144*X+1024, -9240576*X^4-8257536*X^3-7028736*X^2-3194880*X-557056, 2097152*(2*X+1)*(44*X^3+78*X^2+59*X+17), -268435456*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 821--1\n", "degz": 5, "h3": null, "sol": "1 16 1680 298240 64975120 15870710016 4174610770176 1156679133941760 333068462173109520 98796338404715311360", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -656 1024 6144 33792 110592 129024 -557056 -3194880 -7028736 -8257536 -9240576 35651584 195035136 411041792 419430400 184549376 -805306368 -3758096384 -6174015488 -4294967296 -1073741824", "new_number": "5.120", "id": 204, "operator_tex": "\\theta^4-2^{4} x\\left(41\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)+2^{10} x^{2}\\left(126\\theta^4+108\\theta^3+33\\theta^2+6\\theta+1\\right)-2^{14} x^{3}\\left(564\\theta^4+504\\theta^3+429\\theta^2+195\\theta+34\\right)+2^{21} x^{4}(2\\theta+1)(44\\theta^3+78\\theta^2+59\\theta+17)-2^{28} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 171120", "discriminant": "5 1 -656 129024 -9240576 184549376 -1073741824", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3eb6b52ff225f7b2f94716d73344b578", "dim_h": null, "inst": " 48 2286 171120 17540830 2229934864 326339842902 52567571647664 9076424562073894 1651987350168225408 313406830295820825818", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(4096z^2-384z+1)(-1+128z)^2", "discr_factors": "-1073741824, z-1/16, (-1/128+z)^2, z^2-3/32*z+1/4096", "dm_basis": null, "q": "0 1 -64 -1248 -162816 -21446864 -3535650816 -637185360384 -121871903883264 -24354389231186280", "yuk": "1 48 18336 4620288 1122631456 278741858048 70489410705408 18030677075148800 4647129376904465184 1204298778272640942720", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64-1/32*2^(1/2)","im":"0","approx_re":"0.002681","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64+1/32*2^(1/2)","im":"0","approx_re":"0.091069","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -272*X^4-2080*X^3-1456*X^2-416*X-48, -307200*X^4-417792*X^3+333824*X^2+225280*X+43008, -36962304*X^4+42467328*X^3+38993920*X^2+12386304*X+1179648, 16777216*(2*X+1)*(52*X^3+66*X^2+29*X+3), -4294967296*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 182--1\n", "degz": 5, "h3": null, "sol": "1 48 10128 3521280 1516853520 736106773248 385585359608064 213027552363884544 122409491094916431120 72494339833505100276480", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -48 -416 -1456 -2080 -272 43008 225280 333824 -417792 -307200 1179648 12386304 38993920 42467328 -36962304 50331648 587202560 2080374784 3087007744 1744830464 -12884901888 -60129542144 -98784247808 -68719476736 -17179869184", "new_number": "5.121", "id": 205, "operator_tex": "\\theta^4-2^{4} x\\left(17\\theta^4+130\\theta^3+91\\theta^2+26\\theta+3\\right)-2^{11} x^{2}\\left(150\\theta^4+204\\theta^3-163\\theta^2-110\\theta-21\\right)-2^{16} x^{3}\\left(564\\theta^4-648\\theta^3-595\\theta^2-189\\theta-18\\right)+2^{24} x^{4}(2\\theta+1)(52\\theta^3+66\\theta^2+29\\theta+3)-2^{32} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "272 1143760", "discriminant": "5 1 -272 -307200 -36962304 1744830464 -17179869184", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "36da1ed5dd29b416116a3ac9f4b4c4da", "dim_h": null, "inst": " 272 -142 1143760 76778666 28997783216 5311809815178 1592772509708944 417669471289440562 126965187540855723904 38429017372271226727750", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(16384z^2-768z+1)(1+256z)^2", "discr_factors": "-17179869184, z-1/16, z^2-3/64*z+1/16384, (1/256+z)^2", "dm_basis": null, "q": "0 1 -224 28576 -4692992 569979184 -123508935680 8997071726080 -4662181982044160 -287545014192589160", "yuk": "1 272 -864 30881792 4913833760 3624722902272 1147350950959104 546320970830168064 213846769305107401504 92557621717283853607808", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128-1/64*2^(1/2)","im":"0","approx_re":"0.00134","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128+1/64*2^(1/2)","im":"0","approx_re":"0.045535","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 119*X^4-194*X^3-143*X^2-46*X-6, -1656*X^4-26928*X^3-13644*X^2-5400*X-972, -701136*X^4-2029536*X^3-2404404*X^2-1338444*X-274104, -209952*(2*X+1)*(76*X^3+222*X^2+235*X+85), -136048896*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- 623--1\n\n", "degz": 5, "h3": null, "sol": "1 6 162 7620 334530 18636156 1065953196 64285927992 4049248499010 261172198741740", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -6 -46 -143 -194 119 -972 -5400 -13644 -26928 -1656 -274104 -1338444 -2404404 -2029536 -701136 -17845920 -85030560 -145286784 -109175040 -31912704 -408146688 -1904684544 -3129124608 -2176782336 -544195584", "new_number": "5.122", "id": 206, "operator_tex": "\\theta^4+x\\left(119\\theta^4-194\\theta^3-143\\theta^2-46\\theta-6\\right)-2^{2} 3^{2} x^{2}\\left(46\\theta^4+748\\theta^3+379\\theta^2+150\\theta+27\\right)-2^{2} 3^{4} x^{3}\\left(2164\\theta^4+6264\\theta^3+7421\\theta^2+4131\\theta+846\\right)-2^{5} 3^{8} x^{4}(2\\theta+1)(76\\theta^3+222\\theta^2+235\\theta+85)-2^{8} 3^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "19 18641/3", "discriminant": "5 1 119 -1656 -701136 -31912704 -544195584", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "7cc1a0411f21ffd93f1a9f6468627432", "dim_h": null, "inst": " 19 -170 18641/3 -163734 6446745 -222665252 9253153452 -357793119238 46200606662654/3 -633845739042746", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(1296z^2+56z+1)(1+72z)^2", "discr_factors": "-544195584, (1/72+z)^2, z^2+7/162*z+1/1296, z-1/81", "dm_basis": null, "q": "0 1 -22 309 -14524 682734 -34157886 1607083116 -79509106920 3840673182921", "yuk": "1 19 -1341 167788 -10480317 805843144 -48095528004 3173831634055 -183190087530173 11226747419192710", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/324","im":"-1/81*2^(1/2)","approx_re":"-0.0216049382716","approx_im":"-0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/324","im":"1/81*2^(1/2)","approx_re":"-0.0216049382716","approx_im":"0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72","im":"0","approx_re":"-0.0138888888889","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 448*X^4-640*X^3-448*X^2-128*X-16, 49152*X^4-98304*X^3+139264*X^2+81920*X+16384, 3145728*X^4+18874368*X^3+9175040*X^2-786432*X-1048576, 67108864*(2*X+1)*(4*X^3-6*X^2-15*X-7), -17179869184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 812--1\n", "degz": 5, "h3": null, "sol": "1 16 -240 -24320 2075920 187842816 -14713569024 -1535910604800 144897739169040 15638775151816960", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -16 -128 -448 -640 448 16384 81920 139264 -98304 49152 -1048576 -786432 9175040 18874368 3145728 -469762048 -1946157056 -2415919104 -536870912 536870912 -51539607552 -240518168576 -395136991232 -274877906944 -68719476736", "new_number": "5.123", "id": 207, "operator_tex": "\\theta^4+2^{4} x\\left(28\\theta^4-40\\theta^3-28\\theta^2-8\\theta-1\\right)+2^{13} x^{2}\\left(6\\theta^4-12\\theta^3+17\\theta^2+10\\theta+2\\right)+2^{18} x^{3}\\left(12\\theta^4+72\\theta^3+35\\theta^2-3\\theta-4\\right)+2^{26} x^{4}(2\\theta+1)(4\\theta^3-6\\theta^2-15\\theta-7)-2^{34} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "96 266464", "discriminant": "5 1 448 49152 3145728 536870912 -68719476736", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b9a4a4eae678c9ce13a407517f92c30e", "dim_h": null, "inst": " 96 -4200 266464 -20295944 1778341408 -174623139400 18658964478304 -2108842536920200 247247828146128128 -29774252922987988984", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z-1)(16384z^2+1)(1+256z)^2", "discr_factors": "-68719476736, (1/256+z)^2, z^2+1/16384, z-1/64", "dm_basis": null, "q": "0 1 -64 7520 -944128 119665200 -15435458560 2030422225408 -272156799401984 37061004761229976", "yuk": "1 96 -33504 7194624 -1298973920 222292676096 -37718590949376 6400024816058368 -1079727380202116320 180243666718534599936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"-1/128","approx_re":"0.0","approx_im":"-0.0078125","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"1/128","approx_re":"0.0","approx_im":"0.0078125","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1081*X^4-2594*X^3-1807*X^2-510*X-54, -168696*X^4-176688*X^3+79668*X^2+62568*X+10548, -5988816*X^4+1080864*X^3+1582092*X^2+356724*X+16200, 69984*(2*X+1)*(92*X^3+134*X^2+79*X+17), -1679616*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 263--1\n", "degz": 5, "h3": null, "sol": "1 54 19746 11427300 8114331330 6473616704604 5568564494196396 5049261104247452664 4760273247063998256450 4624381019081219718954060", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -54 -510 -1807 -2594 -1081 10548 62568 79668 -176688 -168696 16200 356724 1582092 1080864 -5988816 1189728 7908192 20435328 25194240 12877056 -5038848 -23514624 -38631168 -26873856 -6718464", "new_number": "5.124", "id": 208, "operator_tex": "\\theta^4-x\\left(1081\\theta^4+2594\\theta^3+1807\\theta^2+510\\theta+54\\right)-2^{2} 3^{2} x^{2}\\left(4686\\theta^4+4908\\theta^3-2213\\theta^2-1738\\theta-293\\right)-2^{2} 3^{4} x^{3}\\left(18484\\theta^4-3336\\theta^3-4883\\theta^2-1101\\theta-50\\right)+2^{5} 3^{7} x^{4}(2\\theta+1)(92\\theta^3+134\\theta^2+79\\theta+17)-2^{8} 3^{8} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "307 4336475", "discriminant": "5 1 -1081 -168696 -5988816 12877056 -6718464", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "782c2ecb639a2462baac59dfaf17de0e", "dim_h": null, "inst": " 307 19410 4336475 1291393654 484327566649 207431882908388 97602032466463180 49181883031917258022 26116294087808097929706 14453319153375883853489298", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(1296z^2-1224z+1)(1+72z)^2", "discr_factors": "-6718464, (1/72+z)^2, z-1, z^2-17/18*z+1/1296", "dm_basis": null, "q": "0 1 -294 23061 -4951580 -898249458 -557866648206 -287455635544884 -162700420621213608 -95414682324836120535", "yuk": "1 307 155587 117085132 82649349443 60540945831432 44805286825452220 33477497135996871047 25181124112424285456707 19038778390012103507840806", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/72","im":"0","approx_re":"-0.0138888888889","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"17/36-1/3*2^(1/2)","im":"0","approx_re":"0.000818","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/36+1/3*2^(1/2)","im":"0","approx_re":"0.943627","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1217*X^4-2050*X^3-1437*X^2-412*X-44, 32*(X+1)*(4550*X^3-186*X^2-899*X-171), -4731904*X^4-817152*X^3-257280*X^2-283392*X-66048, 16384*(2*X+1)*(268*X^3+414*X^2+267*X+65), -1048576*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 362--1\n", "degz": 5, "h3": null, "sol": "1 44 14532 7508960 4749338020 3372027818544 2580301861501056 2080837650475803648 1744473005099559898020 1506842695662878604670640", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -44 -412 -1437 -2050 -1217 -5472 -34240 -34720 139648 145600 -66048 -283392 -257280 -817152 -4731904 1064960 6504448 15532032 17956864 8781824 -3145728 -14680064 -24117248 -16777216 -4194304", "new_number": "5.125", "id": 209, "operator_tex": "\\theta^4-x\\left(1217\\theta^4+2050\\theta^3+1437\\theta^2+412\\theta+44\\right)+2^{5} x^{2}(\\theta+1)(4550\\theta^3-186\\theta^2-899\\theta-171)-2^{8} x^{3}\\left(18484\\theta^4+3192\\theta^3+1005\\theta^2+1107\\theta+258\\right)+2^{14} x^{4}(2\\theta+1)(268\\theta^3+414\\theta^2+267\\theta+65)-2^{20} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "229 10128562/3", "discriminant": "5 1 -1217 145600 -4731904 8781824 -4194304", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ce147b64cc67dee1204a2d16f6ac4210", "dim_h": null, "inst": " 229 18542 10128562/3 938391582 323686899951 127878842671770 55493410166184001 25794339813773150174 37906338983979727956355/3 6450913999506829214624928", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(1024z^2-1088z+1)(-1+64z)^2", "discr_factors": "-4194304, (-1/64+z)^2, z-1, z^2-17/16*z+1/1024", "dm_basis": null, "q": "0 1 -236 5406 -2250184 -884920987 -397301960952 -194837807831818 -101013994096704816 -54612782667485069886", "yuk": "1 229 148565 91157287 60057209813 40460862494104 27621830108407943 19034239687001112572 13206701984711910098901 9211240373107073984551552", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"17/32-3/8*2^(1/2)","im":"0","approx_re":"0.00092","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/32+3/8*2^(1/2)","im":"0","approx_re":"1.06158","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -881*X^4-1222*X^3-878*X^2-267*X-30, 151803*X^4+180072*X^3+51567*X^2+840*X-1020, -8814015*X^4-9353070*X^3-6422355*X^2-2208060*X-284220, 8100*(3*X+1)*(3*X+2)*(1902*X^2+1767*X+386), 1822500*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Operator London 18.\nB-Incarnation: Laurent-polynomial.", "degz": 5, "h3": null, "sol": "1 30 6210 2004240 789638850 348792624180 165939866492400 83169520555492800 43324855975160352450 23249936277240621019500", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -30 -267 -878 -1222 -881 -1020 840 51567 180072 151803 -284220 -2208060 -6422355 -9353070 -8814015 6253200 56764800 187766100 267470100 138655800 72900000 426465000 803722500 590490000 147622500", "new_number": "5.126", "id": 210, "operator_tex": "\\theta^4-x\\left(881\\theta^4+1222\\theta^3+878\\theta^2+267\\theta+30\\right)+3 x^{2}\\left(50601\\theta^4+60024\\theta^3+17189\\theta^2+280\\theta-340\\right)-3^{2} 5 x^{3}\\left(195867\\theta^4+207846\\theta^3+142719\\theta^2+49068\\theta+6316\\right)+2^{2} 3^{4} 5^{2} x^{4}(3\\theta+1)(3\\theta+2)(1902\\theta^2+1767\\theta+386)+2^{2} 3^{6} 5^{4} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "110 729096", "discriminant": "5 1 -881 151803 -8814015 138655800 147622500", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "511069e41e6328e47a1ea996049096b4", "dim_h": null, "inst": " 110 12935/2 729096 247828991/2 26419290920 12904638745359/2 1730214446831596 496934881243129784 150410691423145616280 94896624752821217876805/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(675z-1)(27z-1)(z+1)(-1+90z)^2", "discr_factors": "147622500, z-1/27, z-1/675, z+1, (-1/90+z)^2", "dm_basis": null, "q": "0 1 -147 1905 -523039 -125727555 -35718030747 -10803707045489 -3459885219238779 -1155873774613811283", "yuk": "1 110 51850 19685702 7930579562 3302411365110 1393701004236214 593463555263237538 254430659204413028970 109649394047473173953822", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/675","im":"0","approx_re":"0.00148148148148","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/90","im":"0","approx_re":"0.0111111111111","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[100*X^4, -54360*X^4-115740*X^3-83970*X^2-26100*X-3000, -881091*X^4+373842*X^3+2790609*X^2+1687170*X+287100, 1691037*X^4+26389800*X^3+18282780*X^2+2822850*X-170100, 15795*(3*X+1)*(3*X+2)*(308*X^2-16*X-231), -1108809*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "Operator London 9.\nB-Incarnation as Laurent-polynomial.", "degz": 5, "h3": null, "sol": "1 30 5130 1369200 446603850 163387404180 64392443715600 26737363539057600 11539382918216546250 5130634046649163981500", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 100 -3000 -26100 -83970 -115740 -54360 287100 1687170 2790609 373842 -881091 -170100 2822850 18282780 26389800 1691037 -7297290 -33343245 -25382565 41509260 43783740 -44352360 -259461306 -488984769 -359254116 -89813529", "new_number": "5.127", "id": 211, "operator_tex": "2^{2} 5^{2} \\theta^4-2 3 5 x\\left(1812\\theta^4+3858\\theta^3+2799\\theta^2+870\\theta+100\\right)-3 x^{2}\\left(293697\\theta^4-124614\\theta^3-930203\\theta^2-562390\\theta-95700\\right)+3^{3} x^{3}\\left(62631\\theta^4+977400\\theta^3+677140\\theta^2+104550\\theta-6300\\right)+3^{5} 5 13 x^{4}(3\\theta+1)(3\\theta+2)(308\\theta^2-16\\theta-231)-3^{8} 13^{2} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "957/10 1581774/5", "discriminant": "5 100 -54360 -881091 1691037 43783740 -89813529", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "8b1c933faa73767af598d82d1e214624", "dim_h": null, "inst": " 957/10 32493/10 1581774/5 423123141/10 14142369903/2 2699813190345/2 1414792093266129/5 635092306724554077/10 75099101687538986787/5 7403690401192943211969/2", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(6561z^3-4320z^2+567z-1)(10+117z)^2", "discr_factors": "-89813529, (10/117+z)^2, z^3-160/243*z^2+7/81*z-1/6561", "dm_basis": null, "q": "0 1 -141 6186 -527789 -27099930 -9533981088 -2108418624030 -536115030021393 -139918639966848990", "yuk": "1 957/10 260901/10 85416753/10 5416028385/2 4419490595166/5 2915798331249297/10 970547375980565451/10 325167261070051829349/10 109494490260431928152199/10", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-10/117","im":"0","approx_re":"-0.0854700854701","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(3610916+728028*I*107^(1/2))^(1/3)-10291/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729+1/6*I*3^(1/2)*(1/486*(3610916+728028*I*107^(1/2))^(1/3)-20582/243/(3610916+728028*I*107^(1/2))^(1/3))","im":"0","approx_re":"0.001788","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(3610916+728028*I*107^(1/2))^(1/3)-10291/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729-1/6*I*3^(1/2)*(1/486*(3610916+728028*I*107^(1/2))^(1/3)-20582/243/(3610916+728028*I*107^(1/2))^(1/3))","im":"0","approx_re":"0.178154","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1458*(3610916+728028*I*107^(1/2))^(1/3)+20582/729/(3610916+728028*I*107^(1/2))^(1/3)+160/729","im":"0","approx_re":"0.478494","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 20+150*X+450*X^2+600*X^3, 10000+50000*X+72500*X^2-20000*X^3-20000*X^4, -1300000-7350000*X-14400000*X^2-10800000*X^3-800000*X^4, 5000000*(13*X^2+37*X+27)*(2*X+1)^2, -500000000*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.128\" from ...", "degz": 5, "h3": null, "sol": "1 -20 900 -38000 122500 275924880 -48003555600 5696437032000 -510157511077500 28121893206550000", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 20 150 450 600 0 10000 50000 72500 -20000 -20000 -1300000 -7350000 -14400000 -10800000 -800000 135000000 725000000 1345000000 1000000000 260000000 -4500000000 -24000000000 -44000000000 -32000000000 -8000000000", "new_number": "5.128", "id": 212, "operator_tex": "\\theta^4+2 5 x\\left(60\\theta^3+45\\theta^2+15\\theta+2\\right)-2^{2} 5^{4} x^{2}\\left(8\\theta^4+8\\theta^3-29\\theta^2-20\\theta-4\\right)-2^{4} 5^{5} x^{3}\\left(16\\theta^4+216\\theta^3+288\\theta^2+147\\theta+26\\right)+2^{6} 5^{7} x^{4}(13\\theta^2+37\\theta+27)(2\\theta+1)^2-2^{8} 5^{9} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "-50 -20600", "discriminant": "5 1 0 -20000 -800000 260000000 -8000000000", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5a0123bd26e43e2fd9c7e6c3d21a2a33", "dim_h": null, "inst": " -50 -1675/2 -20600 -1433000 -408984396/5 -5133552250 -402019848900 -30191383525000 -2386872094431250 -1009886697282123993/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(800000z^3-10000z^2-200z-1)(-1+100z)^2", "discr_factors": "-8000000000, (-1/100+z)^2, z^3-1/80*z^2-1/4000*z-1/800000", "dm_basis": null, "q": "0 1 70 4775 285500 18231875 1229450154 86772297185 6609740099800 530466850586750", "yuk": "1 -50 -6750 -556250 -91718750 -10224609950 -1108847848950 -137892808172750 -15457988456518750 -1740029756840937500", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2400*(2105+480*6^(1/2))^(1/3)-29/480/(2105+480*6^(1/2))^(1/3)+1/240","im":"-1/40*3^(1/2)*(1/60*(2105+480*6^(1/2))^(1/3)-29/12/(2105+480*6^(1/2))^(1/3))","approx_re":"-0.006091","approx_im":"-0.003681","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2400*(2105+480*6^(1/2))^(1/3)-29/480/(2105+480*6^(1/2))^(1/3)+1/240","im":"1/40*3^(1/2)*(1/60*(2105+480*6^(1/2))^(1/3)-29/12/(2105+480*6^(1/2))^(1/3))","approx_re":"-0.006091","approx_im":"0.003681","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/100","im":"0","approx_re":"0.01","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1200*(2105+480*6^(1/2))^(1/3)+29/240/(2105+480*6^(1/2))^(1/3)+1/240","im":"0","approx_re":"0.024681","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 20+134*X+362*X^2+456*X^3+48*X^4, 6000+26400*X+34340*X^2-7840*X^3-11680*X^4, -348000-1875600*X-3609600*X^2-2793600*X^3-153600*X^4, 72000*(2*X+1)*(266*X^3+831*X^2+883*X+315), -4320000*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.129\" from ...", "degz": 5, "h3": null, "sol": "1 -20 900 -52400 3482500 -251460720 19242946800 -1538150328000 127229959642500 -10819891275050000", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 20 134 362 456 48 6000 26400 34340 -7840 -11680 -348000 -1875600 -3609600 -2793600 -153600 22680000 108936000 186984000 138816000 38304000 -453600000 -2142720000 -3559680000 -2488320000 -622080000", "new_number": "5.129", "id": 213, "operator_tex": "\\theta^4+2 x\\left(24\\theta^4+228\\theta^3+181\\theta^2+67\\theta+10\\right)-2^{2} 5 x^{2}\\left(584\\theta^4+392\\theta^3-1717\\theta^2-1320\\theta-300\\right)-2^{4} 3 5^{2} x^{3}\\left(128\\theta^4+2328\\theta^3+3008\\theta^2+1563\\theta+290\\right)+2^{6} 3^{2} 5^{3} x^{4}(2\\theta+1)(266\\theta^3+831\\theta^2+883\\theta+315)-2^{8} 3^{3} 5^{4} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "-26 -8344", "discriminant": "5 1 48 -11680 -153600 38304000 -622080000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "6c96cbe2aa88f7096e6b9f02e290d167", "dim_h": null, "inst": " -26 -561/2 -8344 -278334 -11536332 -511581302 -24729415188 -1248782574510 -65889986391098 -3580858440342503", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(20z-1)(108z+1)(80z+1)(-1+60z)^2", "discr_factors": "-622080000, z-1/20, z+1/108, (-1/60+z)^2, z+1/80", "dm_basis": null, "q": "0 1 54 2439 108444 4944675 236522298 11867632353 623183686296 34012774985982", "yuk": "1 -26 -2270 -225314 -17815646 -1442041526 -110501788790 -8482189409510 -639376695964766 -48033800079335756", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/80","im":"0","approx_re":"-0.0125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/60","im":"0","approx_re":"0.0166666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/20","im":"0","approx_re":"0.05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -594*X^4-216*X^3-234*X^2-126*X-24, 137052*X^4+128304*X^3+136728*X^2+60588*X+10224, -15274008*X^4-26453952*X^3-28308528*X^2-14224248*X-2807136, 816293376*X^4+2244806784*X^3+2692634400*X^2+1527715728*X+331304256, -51018336*(3*X+2)*(3*X+4)*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.12\" from ...", "degz": 5, "h3": "72", "sol": "1 24 1152 71520 5101200 396676224 32692889376 2808042450048 248675352512400 22544379039811200", "n_discr_factors": "3", "c3": "450", "operator": "4 5 0 0 0 0 1 -24 -126 -234 -216 -594 10224 60588 136728 128304 137052 -2807136 -14224248 -28308528 -26453952 -15274008 331304256 1527715728 2692634400 2244806784 816293376 -14285134080 -61528113216 -96883820064 -66119763456 -16529940864", "new_number": "5.12", "id": 214, "operator_tex": "\\theta^4-2 3 x\\left(99\\theta^4+36\\theta^3+39\\theta^2+21\\theta+4\\right)+2^{2} 3^{2} x^{2}\\left(3807\\theta^4+3564\\theta^3+3798\\theta^2+1683\\theta+284\\right)-2^{3} 3^{5} x^{3}\\left(7857\\theta^4+13608\\theta^3+14562\\theta^2+7317\\theta+1444\\right)+2^{4} 3^{9} x^{4}\\left(2592\\theta^4+7128\\theta^3+8550\\theta^2+4851\\theta+1052\\right)-2^{5} 3^{13} x^{5}(3\\theta+2)(3\\theta+4)(6\\theta+5)(6\\theta+7)", "superseek": "-30 -14632", "discriminant": "5 1 -594 137052 -15274008 816293376 -16529940864", "aesz": "74", "n_sing_complex": "0", "inst_int": "", "c2h": "-36", "hash": "e668180adb7c88d4e5fbab5eb7ee61c7", "dim_h": "9", "inst": " -30 -516 -14632 -4227807/8 -22139868 -1021798708 -50464650036 -2619966661332 -141334834087546 -7859316901635348", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+54z)(162z-1)^2(108z-1)^2", "discr_factors": "-16529940864, (z-1/108)^2, -1/54+z, (z-1/162)^2", "dm_basis": null, "q": "0 1 -30 495 -8236 58839 -2049570 -24155251 -973292856 1233846432", "yuk": "1 -30 -4158 -395094 -33826614 -2767483530 -220708920150 -17309374962378 -1341422964428598 -103033094050216128", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/162","im":"0","approx_re":"0.00617283950617","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","5/6","7/6","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -36-276*X-852*X^2-1152*X^3-144*X^4, 28080+146880*X+235008*X^2-27648*X^3-69120*X^4, 2177280+14929920*X+36578304*X^2+35831808*X^3+1990656*X^4, 8957952*(28*X^2+52*X+31)*(2*X+1)^2, 1289945088*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.130\" from ...", "degz": 5, "h3": null, "sol": "1 36 3780 558000 98828100 19642358736 4224083227056 961146142482240 228062168165016900 55880542340983760400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -36 -276 -852 -1152 -144 28080 146880 235008 -27648 -69120 2177280 14929920 36578304 35831808 1990656 277696512 1576599552 3224862720 2866544640 1003290624 11609505792 61917364224 113515167744 82556485632 20639121408", "new_number": "5.130", "id": 215, "operator_tex": "\\theta^4-2^{2} 3 x\\left(12\\theta^4+96\\theta^3+71\\theta^2+23\\theta+3\\right)-2^{4} 3^{3} x^{2}\\left(160\\theta^4+64\\theta^3-544\\theta^2-340\\theta-65\\right)+2^{8} 3^{5} x^{3}\\left(32\\theta^4+576\\theta^3+588\\theta^2+240\\theta+35\\right)+2^{12} 3^{7} x^{4}(28\\theta^2+52\\theta+31)(2\\theta+1)^2+2^{16} 3^{9} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "108 122756", "discriminant": "5 1 -144 -69120 1990656 1003290624 20639121408", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "829aca3d7a00547e299bf794c8643162", "dim_h": null, "inst": " 108 -1782 122756 -5930658 607239072 -41331999138 4771667104452 -382997107073250 141465586799209792/3 -4165834540165763472", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(144z-1)(6912z^2+288z-1)(1+144z)^2", "discr_factors": "20639121408, z-1/144, z^2+1/24*z-1/6912, (1/144+z)^2", "dm_basis": null, "q": "0 1 -132 13806 -1431248 144826485 -15086199672 1583568090194 -171961794163776 18870884255228418", "yuk": "1 108 -14148 3314520 -379576260 75904884108 -8927708513544 1636681816827144 -196094519201080260 34376137592211293976", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48-1/72*3^(1/2)","im":"0","approx_re":"-0.04489","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48+1/72*3^(1/2)","im":"0","approx_re":"0.003223","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144","im":"0","approx_re":"0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -60-460*X-1565*X^2-2210*X^3+623*X^4, -158400*X^4-796032*X^3+1031328*X^2+630720*X+132192, -44872704*X^4+371755008*X^3+276099840*X^2+75582720*X+2612736, 107495424*(2*X+1)*(148*X^3+114*X^2-35*X-41), -557256278016*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 326--1\n", "degz": 5, "h3": null, "sol": "1 60 5508 362400 -34621020 -21200311440 -5254667510400 -808807983160320 -27742344502801500 31345755523549724400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -60 -460 -1565 -2210 623 132192 630720 1031328 -796032 -158400 2612736 75582720 276099840 371755008 -44872704 -4407312384 -12576964608 4729798656 40418279424 31818645504 -1671768834048 -7801587892224 -12816894394368 -8916100448256 -2229025112064", "new_number": "5.131", "id": 216, "operator_tex": "\\theta^4-x\\left(60+460\\theta+1565\\theta^2+2210\\theta^3-623\\theta^4\\right)-2^{5} 3^{2} x^{2}\\left(550\\theta^4+2764\\theta^3-3581\\theta^2-2190\\theta-459\\right)-2^{8} 3^{4} x^{3}\\left(2164\\theta^4-17928\\theta^3-13315\\theta^2-3645\\theta-126\\right)+2^{14} 3^{8} x^{4}(2\\theta+1)(148\\theta^3+114\\theta^2-35\\theta-41)-2^{20} 3^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "325 9106834/3", "discriminant": "5 1 623 -158400 -44872704 31818645504 -2229025112064", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "79657f8be76c1fed5fd1a658989ca15a", "dim_h": null, "inst": " 325 -24254 9106834/3 -514805406 102077718255 -22223178463738 5174048773552737 -1266528111971928142 966257487248084589571/3 -84415770319509012764960", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(82944z^2-448z+1)(1+576z)^2", "discr_factors": "-2229025112064, z-1/81, (1/576+z)^2, z^2-7/1296*z+1/82944", "dm_basis": null, "q": "0 1 -220 56766 -15109000 4164405285 -1179786954264 341186437353174 -100284077430244272 29869701184530421506", "yuk": "1 325 -193707 81961831 -32947739691 12759714782200 -4800206466399609 1774698729328589116 -648462393362574948395 234800569401284637227584", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576","im":"0","approx_re":"-0.00173611111111","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2592","im":"-1/648*2^(1/2)","approx_re":"0.00270061728395","approx_im":"-0.002182","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2592","im":"1/648*2^(1/2)","approx_re":"0.00270061728395","approx_im":"0.002182","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 368*X^4-2720*X^3-1924*X^2-564*X-72, -442368*X^4-1050624*X^3+1184256*X^2+744192*X+154368, -116785152*X^4+414056448*X^3+329121792*X^2+99532800*X+6635520, 2293235712*(2*X+1)*(8*X^3+8*X^2+X-1), -440301256704*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as fibre product 62211- x 236--1\n", "degz": 5, "h3": null, "sol": "1 72 12456 3202560 1030375080 378700443072 151437179545344 64137527097126912 28316586564291528360 12902016464015671586880", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -72 -564 -1924 -2720 368 154368 744192 1184256 -1050624 -442368 6635520 99532800 329121792 414056448 -116785152 -2293235712 -2293235712 22932357120 55037657088 36691771392 -1320903770112 -6164217593856 -10126928904192 -7044820107264 -1761205026816", "new_number": "5.132", "id": 217, "operator_tex": "\\theta^4+2^{2} x\\left(92\\theta^4-680\\theta^3-481\\theta^2-141\\theta-18\\right)-2^{8} 3^{2} x^{2}\\left(192\\theta^4+456\\theta^3-514\\theta^2-323\\theta-67\\right)-2^{14} 3^{4} x^{3}\\left(88\\theta^4-312\\theta^3-248\\theta^2-75\\theta-5\\right)+2^{20} 3^{7} x^{4}(2\\theta+1)(8\\theta^3+8\\theta^2+\\theta-1)-2^{26} 3^{8} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "388 3446444", "discriminant": "5 1 368 -442368 -116785152 36691771392 -1761205026816", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "55a5cb23b8c035363ff67bcc0d5fd556", "dim_h": null, "inst": " 388 -23196 3446444 -571523888 119779121440 -26337851952244 6379158138230956 -1594340792909831456 418770245751785729712 -112521837302387810648160", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(144z-1)(576z-1)(64z-1)(1+576z)^2", "discr_factors": "-1761205026816, z-1/144, (1/576+z)^2, z-1/64, z-1/576", "dm_basis": null, "q": "0 1 -276 70878 -19526288 5528415021 -1613217289752 479461257684498 -144994232477942592 44399616209674334982", "yuk": "1 388 -185180 93054376 -36577714012 14972390180388 -5688975928815896 2188051241413218296 -816302486006411419484 305283509153051890014424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576","im":"0","approx_re":"-0.00173611111111","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576","im":"0","approx_re":"0.00173611111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/144","im":"0","approx_re":"0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48-352*X-1120*X^2-1536*X^3+384*X^4, 46080+206848*X+277504*X^2-507904*X^3-126976*X^4, 5898240+36569088*X+77856768*X^2+66060288*X^3-37748736*X^4, 452984832*(X+1)*(2*X+1)*(6*X^2+11*X+6), 115964116992*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-incarnation as self-fibre product S53211\n", "degz": 5, "h3": null, "sol": "1 48 5136 710400 112104720 19210722048 3487228571904 660942598238208 129587494310960400 26115030111268750080", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -48 -352 -1120 -1536 384 46080 206848 277504 -507904 -126976 5898240 36569088 77856768 66060288 -37748736 2717908992 13136560128 23102226432 18119393280 5435817984 347892350976 1623497637888 2667174690816 1855425871872 463856467968", "new_number": "5.133", "id": 218, "operator_tex": "\\theta^4+2^{4} x\\left(24\\theta^4-96\\theta^3-70\\theta^2-22\\theta-3\\right)-2^{10} x^{2}\\left(124\\theta^4+496\\theta^3-271\\theta^2-202\\theta-45\\right)-2^{17} 3^{2} x^{3}\\left(32\\theta^4-56\\theta^3-66\\theta^2-31\\theta-5\\right)+2^{24} 3^{3} x^{4}(\\theta+1)(2\\theta+1)(6\\theta^2+11\\theta+6)+2^{32} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "192 1016256", "discriminant": "5 1 384 -126976 -37748736 5435817984 463856467968", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0f3cb34d2bc462fbc58cdf15040595d1", "dim_h": null, "inst": " 192 -9940 1016256 -134713756 20854352960 -3558106223428 650099875656384 -124906372712813436 24944397556163013120 -5136229055822115310300", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(256z-1)(64z+1)(192z-1)(1+384z)^2", "discr_factors": "463856467968, z-1/192, z-1/256, (1/384+z)^2, z+1/64", "dm_basis": null, "q": "0 1 -160 25568 -4409344 816759856 -160414850048 32970378328576 -7020154360758272 1536842193102066328", "yuk": "1 192 -79328 27439104 -8621759712 2606794120192 -768550916900864 222984257350139904 -63952062837582238944 18184465818442864003584", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/384","im":"0","approx_re":"-0.00260416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192","im":"0","approx_re":"0.00520833333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 16*X^4-1408*X^3-1000*X^2-296*X-36, -152064*X^4+178176*X^2+24912+127104*X-285696*X^3, -20127744*X^4+8017920*X+20791296*X^3+21786624*X^2+1002240, 552960*(2*X+1)*(824*X^3+1668*X^2+1342*X+405), 132710400*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "B-incarnation as fibre product 61131- x 182--1\n", "degz": 5, "h3": null, "sol": "1 36 4572 918000 228519900 64165466736 19456165015056 6223308826692672 2070528619453479900 710013798698305186800", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 1 -36 -296 -1000 -1408 16 24912 127104 178176 -285696 -152064 1002240 8017920 21786624 20791296 -20127744 223948800 1189969920 2406481920 2300313600 911278080 13934592000 65824358400 109353369600 76441190400 19110297600", "new_number": "5.134", "id": 219, "operator_tex": "\\theta^4+2^{2} x\\left(4\\theta^4-352\\theta^3-250\\theta^2-74\\theta-9\\right)-2^{4} 3 x^{2}\\left(3168\\theta^4+5952\\theta^3-3712\\theta^2-2648\\theta-519\\right)-2^{8} 3^{3} x^{3}\\left(2912\\theta^4-3008\\theta^3-3152\\theta^2-1160\\theta-145\\right)+2^{12} 3^{3} 5 x^{4}(2\\theta+1)(824\\theta^3+1668\\theta^2+1342\\theta+405)+2^{16} 3^{4} 5^{2} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "176 1215248/3", "discriminant": "5 1 16 -152064 -20127744 911278080 19110297600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5bd656df18dc5d02b2f2a068ba88ab74", "dim_h": null, "inst": " 176 -3238 1215248/3 -18807038 3651829680 -560878854674/3 52269749105328 -2096680151943998 962753159449556144 -16565341526826099078", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(48z-1)(432z-1)(16z+1)(1+240z)^2", "discr_factors": "19110297600, z+1/16, z-1/432, (1/240+z)^2, z-1/48", "dm_basis": null, "q": "0 1 -152 16812 -2161728 269541070 -37931046432 5043309372344 -760500779492864 104106569458703589", "yuk": "1 176 -25728 10937408 -1203676160 456478710176 -40383266625024 17928523943127680 -1073500238999003136 701847053238737366384", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/240","im":"0","approx_re":"-0.00416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1408*X^4-512*X^3-528*X^2-272*X-48, 770048*X^4+720896*X^3+735232*X^2+305152*X+47616, -203423744*X^4-352321536*X^3-362020864*X^2-170655744*X-30670848, 25165824*(2*X+1)*(512*X^3+1152*X^2+1054*X+339), -19327352832*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.13\" from ...", "degz": 5, "h3": "32", "sol": "1 48 5328 779520 131619600 24257173248 4739368322304 965015828434944 202584554505899280 43534711014765484800", "n_discr_factors": "3", "c3": "360", "operator": "4 5 0 0 0 0 1 -48 -272 -528 -512 -1408 47616 305152 735232 720896 770048 -30670848 -170655744 -362020864 -352321536 -203423744 8531214336 43587207168 82040586240 70866960384 25769803776 -869730877440 -4174708211712 -7035156430848 -4947802324992 -1236950581248", "new_number": "5.13", "id": 220, "operator_tex": "\\theta^4-2^{4} x\\left(88\\theta^4+32\\theta^3+33\\theta^2+17\\theta+3\\right)+2^{9} x^{2}\\left(1504\\theta^4+1408\\theta^3+1436\\theta^2+596\\theta+93\\right)-2^{18} x^{3}\\left(776\\theta^4+1344\\theta^3+1381\\theta^2+651\\theta+117\\right)+2^{23} 3 x^{4}(2\\theta+1)(512\\theta^3+1152\\theta^2+1054\\theta+339)-2^{31} 3^{2} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "-80 -174096", "discriminant": "5 1 -1408 770048 -203423744 25769803776 -1236950581248", "aesz": "83", "n_sing_complex": "0", "inst_int": "", "c2h": "-16", "hash": "171e1251d8e4f7de878d0d07de6f58ab", "dim_h": "4", "inst": " -80 -2954 -174096 -13270953 -1179175536 -115795446786 -12188186517456 -1349830285576015 -155427513115593600 -18456445525841201614", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(128z-1)(384z-1)^2(256z-1)^2", "discr_factors": "-1236950581248, (z-1/384)^2, z-1/128, (z-1/256)^2", "dm_basis": null, "q": "0 1 -80 3840 -181248 5466544 -307951104 46314496 -945821483008 -60856937695080", "yuk": "1 -80 -23712 -4700672 -849364704 -147396942080 -25011821230080 -4180547975487488 -691113107064284384 -113306657061272435072", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384","im":"0","approx_re":"0.00260416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -320*X^4-832*X^3-640*X^2-224*X-32, 13312*X^4+120832*X^3+212992*X^2+125952*X+26368, 917504*X^4+786432*X^3-6291456*X^2-6881280*X-1900544, -262144*(2*X+1)*(56*X^3+468*X^2+646*X+249), -16777216*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.14\" from ...", "degz": 5, "h3": "16", "sol": "1 32 2448 273920 38525200 6236600832 1103685859584 207343941083136 40648001362459920 8227704225727500800", "n_discr_factors": "3", "c3": "40", "operator": "4 5 0 0 0 0 1 -32 -224 -640 -832 -320 26368 125952 212992 120832 13312 -1900544 -6881280 -6291456 786432 917504 -65273856 -299892736 -461373440 -260046848 -29360128 -754974720 -3623878656 -6106906624 -4294967296 -1073741824", "new_number": "5.14", "id": 221, "operator_tex": "\\theta^4-2^{5} x\\left(10\\theta^4+26\\theta^3+20\\theta^2+7\\theta+1\\right)+2^{8} x^{2}\\left(52\\theta^4+472\\theta^3+832\\theta^2+492\\theta+103\\right)+2^{16} x^{3}\\left(14\\theta^4+12\\theta^3-96\\theta^2-105\\theta-29\\right)-2^{18} x^{4}(2\\theta+1)(56\\theta^3+468\\theta^2+646\\theta+249)-2^{24} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "64 23360", "discriminant": "5 1 -320 13312 917504 -29360128 -1073741824", "aesz": "116", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "0b366ad8c78b6697205c5a7fff270f5b", "dim_h": "6", "inst": " 64 12 23360 654490 53956288 3558145052 286700496448 24007522298674 2129883087617536 196912935173735108", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(32z+1)^2(64z-1)^2", "discr_factors": "-1073741824, -1/256+z, (z+1/32)^2, (z-1/64)^2", "dm_basis": null, "q": "0 1 -96 6816 -493568 32166192 -2164343808 130369476096 -8668096954368 469785092535960", "yuk": "1 64 160 630784 41887520 6744536064 768559962112 98338270281728 12291851458808608 1552684770873814528", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 72+540*X+1596*X^2+2112*X^3+3072*X^4, -1920+1920*X+74752*X^2+249856*X^3+331264*X^4, 454656+2912256*X+7376896*X^2+10100736*X^3+13037568*X^4, 4587520+50462720*X+165150720*X^2+229376000*X^3+122945536*X^4, -205520896*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 212/5.31", "degz": 5, "h3": "432", "sol": "1 -8 424 -36224 3778216 -440739008 55291965184 -7301041037312 1001440179848872 -141454394147037248", "n_discr_factors": "3", "c3": "-1152", "operator": "4 5 0 0 0 0 9 72 540 1596 2112 3072 -1920 1920 74752 249856 331264 454656 2912256 7376896 10100736 13037568 4587520 50462720 165150720 229376000 122945536 -205520896 -822083584 -1233125376 -822083584 -205520896", "new_number": "5.15", "id": 222, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(256\\theta^4+176\\theta^3+133\\theta^2+45\\theta+6\\right)+2^{7} x^{2}\\left(2588\\theta^4+1952\\theta^3+584\\theta^2+15\\theta-15\\right)+2^{12} x^{3}\\left(3183\\theta^4+2466\\theta^3+1801\\theta^2+711\\theta+111\\right)+2^{17} 7 x^{4}\\left(134\\theta^4+250\\theta^3+180\\theta^2+55\\theta+5\\right)-2^{22} 7^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-52/3 -17428", "discriminant": "5 9 3072 331264 13037568 122945536 -205520896", "aesz": "117", "n_sing_complex": "0", "inst_int": "", "c2h": "288", "hash": "111a4ce3248a309bf6283916fd9f11c4", "dim_h": "96", "inst": " -52/3 1348/3 -17428 884000 -163422880/3 3852894052 -900638629436/3 75278976461744/3 -2211698609231952 609674044784449696/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(256z^2-176z-1)(3+224z)^2", "discr_factors": "-205520896, z^2-11/16*z-1/256, z+1/16, (3/224+z)^2", "dm_basis": null, "q": "0 1 28 -418 20912 -1327571 102389128 -8836797806 815317139904 -78754860905978", "yuk": "1 -52/3 10732/3 -1411720/3 169738732/3 -6809286684 2496673944760/3 -102973016632200 38542836118151660/3 -4836984858391690744/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/224","im":"0","approx_re":"-0.0133928571429","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"11/32+5/32*5^(1/2)","im":"0","approx_re":"0.693136","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -465*X^4-594*X^3-431*X^2-134*X-16, 42000*X^4+30576*X^3-15136*X^2-14144*X-2816, -1030720*X^4+231936*X^3+335424*X^2+82176*X+2304, -2222080*X^4-4788224*X^3-4386816*X^2-1992704*X-372736, 3211264*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 22/5.5", "degz": 5, "h3": "180", "sol": "1 16 1816 310336 64483576 15001950016 3756814881856 990767991264256 271513815031152376 76641403901116604416", "n_discr_factors": "3", "c3": "-900", "operator": "4 5 0 0 0 0 1 -16 -134 -431 -594 -465 -2816 -14144 -15136 30576 42000 2304 82176 335424 231936 -1030720 -372736 -1992704 -4386816 -4788224 -2222080 3211264 12845056 19267584 12845056 3211264", "new_number": "5.16", "id": 223, "operator_tex": "\\theta^4-x\\left(465\\theta^4+594\\theta^3+431\\theta^2+134\\theta+16\\right)+2^{4} x^{2}\\left(2625\\theta^4+1911\\theta^3-946\\theta^2-884\\theta-176\\right)-2^{6} x^{3}\\left(16105\\theta^4-3624\\theta^3-5241\\theta^2-1284\\theta-36\\right)-2^{11} 7 x^{4}\\left(155\\theta^4+334\\theta^3+306\\theta^2+139\\theta+26\\right)+2^{16} 7^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "55 116555", "discriminant": "5 1 -465 42000 -1030720 -2222080 3211264", "aesz": "118", "n_sing_complex": "0", "inst_int": "", "c2h": "0", "hash": "d950d38dab80e3772855675af0cdb950", "dim_h": "30", "inst": " 55 1915 116555 10661240 1227998285 162350589750 23577384844690 3667742827262750 601330335417896290 102757467277183662915", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(z-1)(1024z^2+352z-1)(-1+56z)^2", "discr_factors": "3211264, z-1, z^2+11/32*z-1/1024, (-1/56+z)^2", "dm_basis": null, "q": "0 1 -70 -595 -67760 -11713690 -1815175374 -296780681310 -51373190652480 -9283081256642125", "yuk": "1 55 15375 3147040 682334735 153499785680 35067730548360 8087043001728725 1877884328240862735 438369814519649542450", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/64-5/64*5^(1/2)","im":"0","approx_re":"-0.346568","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/64+5/64*5^(1/2)","im":"0","approx_re":"0.002818","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/56","im":"0","approx_re":"0.0178571428571","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -3072*X^4-3840*X^3-3252*X^2-1332*X-216, 397312*X^4+901120*X^3+1025536*X^2+569856*X+118656, -24641536*X^4-75497472*X^3-99680256*X^2-60751872*X-13271040, 2097152*(2*X+1)*(176*X^3+552*X^2+622*X+231), -2147483648*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.17\" from ...", "degz": 5, "h3": null, "sol": "1 24 1128 67200 4634280 356457024 29883254016 2681828278272 253852820793000 25044278060218560", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 9 -216 -1332 -3252 -3840 -3072 118656 569856 1025536 901120 397312 -13271040 -60751872 -99680256 -75497472 -24641536 484442112 2273312768 3766484992 2684354560 738197504 -6442450944 -30064771072 -49392123904 -34359738368 -8589934592", "new_number": "5.17", "id": 224, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(256\\theta^4+320\\theta^3+271\\theta^2+111\\theta+18\\right)+2^{7} x^{2}\\left(3104\\theta^4+7040\\theta^3+8012\\theta^2+4452\\theta+927\\right)-2^{15} x^{3}\\left(752\\theta^4+2304\\theta^3+3042\\theta^2+1854\\theta+405\\right)+2^{21} x^{4}(2\\theta+1)(176\\theta^3+552\\theta^2+622\\theta+231)-2^{31} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "28/3 3892/3", "discriminant": "5 9 -3072 397312 -24641536 738197504 -8589934592", "aesz": "119", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dc8ec37012f2c92c83e6519935956eeb", "dim_h": null, "inst": " 28/3 394/3 3892/3 108262/3 1044128 103730222/3 1261935036 148614445022/3 6125740231888/3 87828293979248", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+128z)(64z-1)^2(128z-3)^2", "discr_factors": "-8589934592, (z-1/64)^2, (z-3/128)^2, -1/128+z", "dm_basis": null, "q": "0 1 -52 2014 -71568 2248493 -69311704 1952525586 -57312184128 1467953048326", "yuk": "1 28/3 1060 105112/3 6931948/3 391548028/3 7468612072 1298531152072/3 76090602783212/3 4465664629151464/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128","im":"0","approx_re":"0.0234375","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[3721*X^4, -184769*X^4-339892*X^3-285297*X^2-115351*X-18605, 1215215*X^4+3428132*X^3+4267228*X^2+2572675*X+611586, -3188970*X^4-11354418*X^3-16751367*X^2-11517471*X-3023892, 3713526*X^4+14631030*X^3+22018716*X^2+14703201*X+3661038, -1594323*(X+1)^4]", "text": "This is operator \"5.18\" from ...", "degz": 5, "h3": "61", "sol": "1 5 69 1427 35749 1000005 30058575 950480445 31208594085 1054973524145", "n_discr_factors": "2", "c3": "-86", "operator": "4 5 0 0 0 0 3721 -18605 -115351 -285297 -339892 -184769 611586 2572675 4267228 3428132 1215215 -3023892 -11517471 -16751367 -11354418 -3188970 3661038 14703201 22018716 14631030 3713526 -1594323 -6377292 -9565938 -6377292 -1594323", "new_number": "5.18", "id": 225, "operator_tex": "61^{2} \\theta^4-61 x\\left(3029\\theta^4+5572\\theta^3+4677\\theta^2+1891\\theta+305\\right)+x^{2}\\left(1215215\\theta^4+3428132\\theta^3+4267228\\theta^2+2572675\\theta+611586\\right)-3^{4} x^{3}\\left(39370\\theta^4+140178\\theta^3+206807\\theta^2+142191\\theta+37332\\right)+3^{8} x^{4}\\left(566\\theta^4+2230\\theta^3+3356\\theta^2+2241\\theta+558\\right)-3^{13} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "163/61 4795/61", "discriminant": "5 3721 -184769 1215215 -3188970 3713526 -1594323", "aesz": "124", "n_sing_complex": "2", "inst_int": "", "c2h": "94", "hash": "394b401a3162e31c79ede5b46973791d", "dim_h": "18", "inst": " 163/61 630/61 4795/61 48422/61 599809/61 8459307/61 130721868/61 2160794564/61 37614259014/61 682135961319/61", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(243z^3-200z^2+47z-1)(-61+81z)^2", "discr_factors": "-1594323, z^3-200/243*z^2+47/243*z-1/243, (-61/81+z)^2", "dm_basis": null, "q": "0 1 -11 38 -246 -494 -20837 -319545 -6032901 -115504922", "yuk": "1 163/61 5203/61 129628/61 3104211/61 74976288/61 1827344980/61 44837600887/61 1106329920979/61 27420794950834/61", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1458*(11853908+1175148*93^(1/2))^(1/3)-11474/729/(11853908+1175148*93^(1/2))^(1/3)+200/729","im":"0","approx_re":"0.023574","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916*(11853908+1175148*93^(1/2))^(1/3)+5737/729/(11853908+1175148*93^(1/2))^(1/3)+200/729","im":"1/2*3^(1/2)*(-1/1458*(11853908+1175148*93^(1/2))^(1/3)+11474/729/(11853908+1175148*93^(1/2))^(1/3))","approx_re":"0.399736","approx_im":"-0.121575","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916*(11853908+1175148*93^(1/2))^(1/3)+5737/729/(11853908+1175148*93^(1/2))^(1/3)+200/729","im":"-1/2*3^(1/2)*(-1/1458*(11853908+1175148*93^(1/2))^(1/3)+11474/729/(11853908+1175148*93^(1/2))^(1/3))","approx_re":"0.399736","approx_im":"0.121575","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"61/81","im":"0","approx_re":"0.753086419753","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -9504*X^4-3456*X^3-3312*X^2-1584*X-240, 35085312*X^4+32845824*X^3+31394304*X^2+11653632*X+1566720, -62562336768*X^4-108355387392*X^3-104879702016*X^2-44395610112*X-6708510720, 10319560704*(3*X+1)*(3*X+2)*(576*X^2+1008*X+605), -213986410758144*(3*X+1)*(3*X+2)*(3*X+4)*(3*X+5)]", "text": "This is operator \"5.19\" from ...", "degz": 5, "h3": "8", "sol": "1 240 173520 170016000 193451504400 240628308560640 317402033358009600 436312521711394099200 618316791739397858250000 896920994123625136380000000", "n_discr_factors": "3", "c3": "258", "operator": "4 5 0 0 0 0 1 -240 -1584 -3312 -3456 -9504 1566720 11653632 31394304 32845824 35085312 -6708510720 -44395610112 -104879702016 -108355387392 -62562336768 12486668451840 76994242412544 161697196670976 147115657396224 53496602689536 -8559456430325760 -50072820117405696 -94368007144341504 -69331597085638656 -17332899271409664", "new_number": "5.19", "id": 226, "operator_tex": "\\theta^4-2^{4} 3 x\\left(198\\theta^4+72\\theta^3+69\\theta^2+33\\theta+5\\right)+2^{9} 3^{2} x^{2}\\left(7614\\theta^4+7128\\theta^3+6813\\theta^2+2529\\theta+340\\right)-2^{14} 3^{5} x^{3}\\left(15714\\theta^4+27216\\theta^3+26343\\theta^2+11151\\theta+1685\\right)+2^{19} 3^{9} x^{4}(3\\theta+1)(3\\theta+2)(576\\theta^2+1008\\theta+605)-2^{27} 3^{13} x^{5}(3\\theta+1)(3\\theta+2)(3\\theta+4)(3\\theta+5)", "superseek": "-624 -43406256", "discriminant": "5 1 -9504 35085312 -62562336768 53496602689536 -17332899271409664", "aesz": "180", "n_sing_complex": "0", "inst_int": "", "c2h": "-4", "hash": "c174fb2dfd87730e48b4ae8b57ac66df", "dim_h": "1", "inst": " -624 -137190 -43406256 -18281817141 -9083828410320 -5027390292819630 -2991932148254917872 -1876509222997066884267 -1224964425683923272806016 -825344736194521839555090690", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+864z)(2592z-1)^2(1728z-1)^2", "discr_factors": "-17332899271409664, -1/864+z, (z-1/2592)^2, (z-1/1728)^2", "dm_basis": null, "q": "0 1 -624 254592 -98163712 30776299440 -10695691989504 2703910015437824 -1094862841462358016 125302358625851404440", "yuk": "1 -624 -1098144 -1171969536 -1170037395168 -1135478551290624 -1085916304422107136 -1026232726851436830720 -960772722175668282139872 -892999066323580067047555200", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2592","im":"0","approx_re":"0.000385802469136","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/864","im":"0","approx_re":"0.00115740740741","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","2/3","4/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -765*X^4-1260*X^3-1080*X^2-450*X-75, 3186*X^4+4968*X^3+3246*X^2+930*X+90, -22842*X^4-116640*X^3-237546*X^2-204930*X-63180, 67797*X^4+332424*X^3+551610*X^2+385398*X+97686, -59049*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 290/5.71\nA-Incarnation: diagonal subfamily 1,1,1-section in $P^2 \\times P^2 \\times P^2$\n", "degz": 5, "h3": "90", "sol": "1 3 27 381 6219 111753 2151549 43497891 912018123 19671397617", "n_discr_factors": "3", "c3": "-90", "operator": "4 5 0 0 0 0 25 -75 -450 -1080 -1260 -765 90 930 3246 4968 3186 -63180 -204930 -237546 -116640 -22842 97686 385398 551610 332424 67797 -59049 -236196 -354294 -236196 -59049", "new_number": "5.1", "id": 227, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(51\\theta^4+84\\theta^3+72\\theta^2+30\\theta+5\\right)+2 3 x^{2}\\left(531\\theta^4+828\\theta^3+541\\theta^2+155\\theta+15\\right)-2 3^{3} x^{3}\\left(423\\theta^4+2160\\theta^3+4399\\theta^2+3795\\theta+1170\\right)+3^{5} x^{4}\\left(279\\theta^4+1368\\theta^3+2270\\theta^2+1586\\theta+402\\right)-3^{10} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "6/5 118/5", "discriminant": "5 25 -765 3186 -22842 67797 -59049", "aesz": "17", "n_sing_complex": "2", "inst_int": "", "c2h": "108", "hash": "370d10edbf5900002f79cf6163e106a5", "dim_h": "24", "inst": " 6/5 39/10 118/5 1443/10 6108/5 117827/10 609006/5 13554147/10 15889556 968968881/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z-1)(27z^2+1)(-5+9z)^2", "discr_factors": "-59049, z^2+1/27, (-5/9+z)^2, z-1/27", "dm_basis": null, "q": "0 1 -6 3 -74 105 -3744 -35310 -429666 -5527026", "yuk": "1 6/5 162/5 3192/5 46338/5 763506/5 12728664/5 208889064/5 693981594 57917434812/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"-1/9*3^(1/2)","approx_re":"0.0","approx_im":"-0.19245","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"1/9*3^(1/2)","approx_re":"0.0","approx_im":"0.19245","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/9","im":"0","approx_re":"0.555555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[361*X^4, -13300*X^4-23522*X^3-18981*X^2-7220*X-1083, -64745*X^4-368006*X^3-609133*X^2-412756*X-102258, 172719*X^4+329346*X^3-321921*X^2-738720*X-304722, 46656*X^4+841266*X^3+1767825*X^2+1347192*X+354294, -177147*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 187/5.21", "degz": 5, "h3": "57", "sol": "1 3 51 1029 25299 687753 20045229 613654443 19490199507 636940635897", "n_discr_factors": "3", "c3": "-84", "operator": "4 5 0 0 0 0 361 -1083 -7220 -18981 -23522 -13300 -102258 -412756 -609133 -368006 -64745 -304722 -738720 -321921 329346 172719 354294 1347192 1767825 841266 46656 -177147 -708588 -1062882 -708588 -177147", "new_number": "5.20", "id": 228, "operator_tex": "19^{2} \\theta^4-19 x\\left(700\\theta^4+1238\\theta^3+999\\theta^2+380\\theta+57\\right)-x^{2}\\left(64745\\theta^4+368006\\theta^3+609133\\theta^2+412756\\theta+102258\\right)+3^{3} x^{3}\\left(6397\\theta^4+12198\\theta^3-11923\\theta^2-27360\\theta-11286\\right)+3^{6} x^{4}\\left(64\\theta^4+1154\\theta^3+2425\\theta^2+1848\\theta+486\\right)-3^{11} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "49/19 1761/19", "discriminant": "5 361 -13300 -64745 172719 46656 -177147", "aesz": "186", "n_sing_complex": "0", "inst_int": "", "c2h": "90", "hash": "b3d164f22d02de1efcd62d3aa9ab5ce4", "dim_h": "17", "inst": " 49/19 252/19 1761/19 18990/19 246159/19 3654804/19 59305344/19 1030386030/19 18850527984/19 359318138564/19", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z+1)(243z^2+35z-1)(-19+27z)^2", "discr_factors": "-177147, z+1, (-19/27+z)^2, z^2+35/243*z-1/243", "dm_basis": null, "q": "0 1 -8 -26 88 -1649 -31760 -532724 -10232000 -207545111", "yuk": "1 49/19 2065/19 47596/19 64075 30769924/19 789487276/19 20341733041/19 527558864785/19 13742034947932/19", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-35/486-13/486*13^(1/2)","im":"0","approx_re":"-0.168461","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-35/486+13/486*13^(1/2)","im":"0","approx_re":"0.024428","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"19/27","im":"0","approx_re":"0.703703703704","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -64*X^4+898*X^3+653*X^2+204*X+27, -57573*X^4-120510*X^3+91215*X^2+67428*X+14850, 5244345*X^4-8831106*X^3-8619615*X^2-3201768*X-374706, 261783900*X^4+584152074*X^3+555355845*X^2+263279808*X+51608826, -1726651809*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 186/ 5.20", "degz": 5, "h3": null, "sol": "1 -27 1971 -220941 30762099 -4844676177 825067846989 -148318424601507 27741555966933747 -5348924047337355873", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 27 204 653 898 -64 14850 67428 91215 -120510 -57573 -374706 -3201768 -8619615 -8831106 5244345 51608826 263279808 555355845 584152074 261783900 -1726651809 -6906607236 -10359910854 -6906607236 -1726651809", "new_number": "5.21", "id": 229, "operator_tex": "\\theta^4-x\\left(64\\theta^4-898\\theta^3-653\\theta^2-204\\theta-27\\right)-3^{2} x^{2}\\left(6397\\theta^4+13390\\theta^3-10135\\theta^2-7492\\theta-1650\\right)+3^{4} x^{3}\\left(64745\\theta^4-109026\\theta^3-106415\\theta^2-39528\\theta-4626\\right)+3^{9} 19 x^{4}\\left(700\\theta^4+1562\\theta^3+1485\\theta^2+704\\theta+138\\right)-3^{14} 19^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-107 -121311", "discriminant": "5 1 -64 -57573 5244345 261783900 -1726651809", "aesz": "187", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "9a367922f464a13fa56d1c2e238faa34", "dim_h": null, "inst": " -107 -7701/4 -121311 -6204874 -518204863 -144727904433/4 -3396966107796 -275029740111146 -27494665072543119 -9712148044341170273/4", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(243z+1)(243z^2-35z-1)(-1+171z)^2", "discr_factors": "-1726651809, (-1/171+z)^2, z+1/243, z^2-35/243*z-1/243", "dm_basis": null, "q": "0 1 96 7602 680912 62289861 6078381912 600899848960 61845403954536 6407579473697160", "yuk": "1 -107 -15509 -3275504 -397127445 -64775607982 -7815310130288 -1165159374974135 -140815227334034197 -20043610837887209255", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"35/486-13/486*13^(1/2)","im":"0","approx_re":"-0.024428","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/243","im":"0","approx_re":"-0.00411522633745","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/171","im":"0","approx_re":"0.00584795321637","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"35/486+13/486*13^(1/2)","im":"0","approx_re":"0.168461","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -539-4067*X-11781*X^2-15428*X^3-7945*X^4, 28723*X^4+40708*X^3+13260*X^2-1337*X-896, -32126*X^4-38514*X^3-26511*X^2-10731*X-1806, 10010*X^4+19558*X^3+14784*X^2+5005*X+616, 121*(X+1)^4]", "text": "There is a second MUM-point at infinity,\n corresponding to Operator AESZ 198/5.25", "degz": 5, "h3": "21", "sol": "1 11 559 42923 3996751 416148761 46607742091 5494953548459 673006663951183 84887862132737261", "n_discr_factors": "2", "c3": "-102", "operator": "4 5 0 0 0 0 49 -539 -4067 -11781 -15428 -7945 -896 -1337 13260 40708 28723 -1806 -10731 -26511 -38514 -32126 616 5005 14784 19558 10010 121 484 726 484 121", "new_number": "5.22", "id": 230, "operator_tex": "7^{2} \\theta^4-7 x\\left(1135\\theta^4+2204\\theta^3+1683\\theta^2+581\\theta+77\\right)+x^{2}\\left(28723\\theta^4+40708\\theta^3+13260\\theta^2-1337\\theta-896\\right)-x^{3}\\left(32126\\theta^4+38514\\theta^3+26511\\theta^2+10731\\theta+1806\\right)+7 11 x^{4}\\left(130\\theta^4+254\\theta^3+192\\theta^2+65\\theta+8\\right)+11^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "129/7 41441/7", "discriminant": "5 49 -7945 28723 -32126 10010 121", "aesz": "193", "n_sing_complex": "3", "inst_int": "", "c2h": "-6", "hash": "44e6fc2823d5ff31e66059ba6b37f2ae", "dim_h": "3", "inst": " 129/7 1557/7 41441/7 1594332/7 75470601/7 4083256483/7 242408011110/7 15405866523039/7 1031525154832019/7 71972605248215250/7", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(z^3+84z^2-159z+1)(-7+11z)^2", "discr_factors": "121, z^3+84*z^2-159*z+1, (-7/11+z)^2", "dm_basis": null, "q": "0 1 -39 366 -7798 -253224 -16489617 -1110602999 -78861263877 -5835798947685", "yuk": "1 129/7 12585/7 1119036/7 102049833/7 1347689322 125997790260 83145947810859/7 7887803761845801/7 751981837873660887/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/4*(-7164+228*I*3^(1/2))^(1/3)-279/(-7164+228*I*3^(1/2))^(1/3)-28+1/2*I*3^(1/2)*(3/2*(-7164+228*I*3^(1/2))^(1/3)-558/(-7164+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"-85.852157","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/4*(-7164+228*I*3^(1/2))^(1/3)-279/(-7164+228*I*3^(1/2))^(1/3)-28-1/2*I*3^(1/2)*(3/2*(-7164+228*I*3^(1/2))^(1/3)-558/(-7164+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"0.00631","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/11","im":"0","approx_re":"0.636363636364","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2*(-7164+228*I*3^(1/2))^(1/3)+558/(-7164+228*I*3^(1/2))^(1/3)-28","im":"0","approx_re":"1.845846","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -2023-13872*X-37400*X^2-47056*X^3-24905*X^4, 30600+131852*X+250034*X^2+263164*X^3+124030*X^4, -91800-402084*X-691362*X^2-589356*X^3-233550*X^4, 122472+510300*X+815022*X^2+609444*X^3+193185*X^4, -59049*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 199/5.26", "degz": 5, "h3": "34", "sol": "1 7 183 7225 345079 18406257 1055299449 63665014791 3988953598455 257341097428513", "n_discr_factors": "3", "c3": "-88", "operator": "4 5 0 0 0 0 289 -2023 -13872 -37400 -47056 -24905 30600 131852 250034 263164 124030 -91800 -402084 -691362 -589356 -233550 122472 510300 815022 609444 193185 -59049 -236196 -354294 -236196 -59049", "new_number": "5.23", "id": 231, "operator_tex": "17^{2} \\theta^4-17 x\\left(1465\\theta^4+2768\\theta^3+2200\\theta^2+816\\theta+119\\right)+2 x^{2}\\left(62015\\theta^4+131582\\theta^3+125017\\theta^2+65926\\theta+15300\\right)-2 3^{3} x^{3}\\left(4325\\theta^4+10914\\theta^3+12803\\theta^2+7446\\theta+1700\\right)+3^{6} x^{4}\\left(265\\theta^4+836\\theta^3+1118\\theta^2+700\\theta+168\\right)-3^{10} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "126/17 11700/17", "discriminant": "5 289 -24905 124030 -233550 193185 -59049", "aesz": "194", "n_sing_complex": "0", "inst_int": "", "c2h": "76", "hash": "6bf19665aa6705f30ef88df42bc4eac4", "dim_h": "12", "inst": " 126/17 848/17 11700/17 229808/17 5539258/17 152369132/17 4596841530/17 148424442312/17 5048268480098/17 178910315960992/17", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+81z)(27z-17)^2(z-1)^2", "discr_factors": "-59049, (z-17/27)^2, -1/81+z, (z-1)^2", "dm_basis": null, "q": "0 1 -20 94 -1036 -16091 -560268 -18941924 -683866732 -25690637802", "yuk": "1 126/17 6910/17 316026/17 865566 692407376/17 32912055322/17 1576716644916/17 75993329178366/17 3680187722307468/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27","im":"0","approx_re":"0.62962962963","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[841*X^4, -6728-47937*X-132733*X^2-169592*X^3-87754*X^4, 5568+57768*X+239159*X^2+424220*X^3+258647*X^4, -76560-336864*X-581647*X^2-532614*X^3-272743*X^4, 75616+332792*X+552228*X^2+421124*X^3+130696*X^4, -3468*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.24\" from ...", "degz": 5, "h3": "29", "sol": "1 8 264 13040 778840 51955008 3725735664 281152383072 22035642730200 1778348612268800", "n_discr_factors": "2", "c3": "-100", "operator": "4 5 0 0 0 0 841 -6728 -47937 -132733 -169592 -87754 5568 57768 239159 424220 258647 -76560 -336864 -581647 -532614 -272743 75616 332792 552228 421124 130696 -27744 -117912 -183804 -124848 -31212", "new_number": "5.24", "id": 232, "operator_tex": "29^{2} \\theta^4-29 x\\left(3026\\theta^4+5848\\theta^3+4577\\theta^2+1653\\theta+232\\right)+x^{2}\\left(5568+57768\\theta+239159\\theta^2+424220\\theta^3+258647\\theta^4\\right)-x^{3}\\left(76560+336864\\theta+581647\\theta^2+532614\\theta^3+272743\\theta^4\\right)+2^{2} 17 x^{4}\\left(1922\\theta^4+6193\\theta^3+8121\\theta^2+4894\\theta+1112\\right)-2^{2} 3 17^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "285/29 40626/29", "discriminant": "5 841 -87754 258647 -272743 130696 -31212", "aesz": "195", "n_sing_complex": "2", "inst_int": "", "c2h": "74", "hash": "49a600431b3e9aaa9d9d6947f8df7d2b", "dim_h": "11", "inst": " 285/29 2362/29 40626/29 997476/29 30096841/29 1036931650/29 39188167891/29 1585184851720/29 67548466106031/29 2999289959592904/29", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z^3-67z^2+102z-1)(-29+34z)^2", "discr_factors": "-31212, z^3-67/27*z^2+34/9*z-1/27, (-29/34+z)^2", "dm_basis": null, "q": "0 1 -25 146 -1925 -41626 -1710492 -73263248 -3311266553 -155893120414", "yuk": "1 285/29 19181/29 1097187/29 63857645/29 3762105410/29 223978352483/29 13441541586898/29 811614707938285/29 49242831792393786/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/162*(4157812+472068*93^(1/2))^(1/3)+7546/81/(4157812+472068*93^(1/2))^(1/3)+67/81","im":"0","approx_re":"0.009868","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/34","im":"0","approx_re":"0.852941176471","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324*(4157812+472068*93^(1/2))^(1/3)-3773/81/(4157812+472068*93^(1/2))^(1/3)+67/81","im":"1/2*3^(1/2)*(-1/162*(4157812+472068*93^(1/2))^(1/3)-7546/81/(4157812+472068*93^(1/2))^(1/3))","approx_re":"1.235807","approx_im":"-1.492036","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324*(4157812+472068*93^(1/2))^(1/3)-3773/81/(4157812+472068*93^(1/2))^(1/3)+67/81","im":"-1/2*3^(1/2)*(-1/162*(4157812+472068*93^(1/2))^(1/3)-7546/81/(4157812+472068*93^(1/2))^(1/3))","approx_re":"1.235807","approx_im":"1.492036","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, 847+5929*X+16170*X^2+20482*X^3+10010*X^4, -11198-55253*X-103725*X^2-89990*X^3-32126*X^4, 1716+20625*X+63474*X^2+74184*X^3+28723*X^4, -770-4991*X-13167*X^2-16352*X^3-7945*X^4, 49*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 193/5.22", "degz": 5, "h3": "132", "sol": "1 -7 199 -8359 423751 -23973757 1457477659 -93222362023 6192061490503 -423467225669257", "n_discr_factors": "2", "c3": "-408", "operator": "4 5 0 0 0 0 121 847 5929 16170 20482 10010 -11198 -55253 -103725 -89990 -32126 1716 20625 63474 74184 28723 -770 -4991 -13167 -16352 -7945 49 196 294 196 49", "new_number": "5.25", "id": 233, "operator_tex": "11^{2} \\theta^4+7 11 x\\left(130\\theta^4+266\\theta^3+210\\theta^2+77\\theta+11\\right)-x^{2}\\left(11198+55253\\theta+103725\\theta^2+89990\\theta^3+32126\\theta^4\\right)+x^{3}\\left(1716+20625\\theta+63474\\theta^2+74184\\theta^3+28723\\theta^4\\right)-7 x^{4}\\left(1135\\theta^4+2336\\theta^3+1881\\theta^2+713\\theta+110\\right)+7^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-84/11 -9052/11", "discriminant": "5 121 10010 -32126 28723 -7945 49", "aesz": "198", "n_sing_complex": "3", "inst_int": "", "c2h": "132", "hash": "a1f924763b047c2720d99cfca5ca63db", "dim_h": "33", "inst": " -84/11 639/11 -9052/11 189021/11 -4838013/11 141421066/11 -4533181206/11 155521104120/11 -510941431295 846550286988477/44", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(z^3-159z^2+84z+1)(-11+7z)^2", "discr_factors": "49, z^3-159*z^2+84*z+1, (-11/7+z)^2", "dm_basis": null, "q": "0 1 21 93 970 -23541 740418 -27416745 1047984201 -41848595538", "yuk": "1 -84/11 5028/11 -244488/11 12102372/11 -604751709/11 30546710880/11 -1554881153742/11 7238801582892 -4097239337799093/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/4*(43452+228*I*3^(1/2))^(1/3)-927/(43452+228*I*3^(1/2))^(1/3)+53+1/2*I*3^(1/2)*(3/2*(43452+228*I*3^(1/2))^(1/3)-1854/(43452+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.011648","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/4*(43452+228*I*3^(1/2))^(1/3)-927/(43452+228*I*3^(1/2))^(1/3)+53-1/2*I*3^(1/2)*(3/2*(43452+228*I*3^(1/2))^(1/3)-1854/(43452+228*I*3^(1/2))^(1/3))","im":"0","approx_re":"0.541757","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/7","im":"0","approx_re":"1.57142857143","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2*(43452+228*I*3^(1/2))^(1/3)+1854/(43452+228*I*3^(1/2))^(1/3)+53","im":"0","approx_re":"158.469891","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -15-88*X-200*X^2-224*X^3-265*X^4, 2808+16308*X+36066*X^2+38316*X^3+25950*X^4, -86832-673596*X-1842498*X^2-2096604*X^3-1116270*X^4, 2478600+14128020*X+33287598*X^2+38319156*X^3+18155745*X^4, -17065161*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to \nOperator AESZ 194/5.23.", "degz": 5, "h3": null, "sol": "1 15 567 28113 1584279 96217065 6137825625 405392060655 27477962447895 1900205271755385", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -15 -88 -200 -224 -265 2808 16308 36066 38316 25950 -86832 -673596 -1842498 -2096604 -1116270 2478600 14128020 33287598 38319156 18155745 -17065161 -68260644 -102390966 -68260644 -17065161", "new_number": "5.26", "id": 234, "operator_tex": "\\theta^4-x\\left(15+88\\theta+200\\theta^2+224\\theta^3+265\\theta^4\\right)+2 3 x^{2}\\left(4325\\theta^4+6386\\theta^3+6011\\theta^2+2718\\theta+468\\right)-2 3^{2} x^{3}\\left(62015\\theta^4+116478\\theta^3+102361\\theta^2+37422\\theta+4824\\right)+3^{6} 17 x^{4}\\left(1465\\theta^4+3092\\theta^3+2686\\theta^2+1140\\theta+200\\right)-3^{10} 17^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-2 3820/9", "discriminant": "5 1 -265 25950 -1116270 18155745 -17065161", "aesz": "199", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f7b5c9e3ad50b0885d03c98d07a051f1", "dim_h": null, "inst": " -2 28 3820/9 3924 21606 -28252/3 -621714 36924812 13821031360/9 34301740012", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(z-1)(81z-1)^2(51z-1)^2", "discr_factors": "-17065161, (z-1/51)^2, (z-1/81)^2, z-1", "dm_basis": null, "q": "0 1 -28 282 -100 -909 -119796 -1068648 393948 226538829", "yuk": "1 -2 222 11458 251358 2700748 -2022462 -213247904 18905755102 1119503551618", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/51","im":"0","approx_re":"0.0196078431373","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[361*X^4, 26030*X^4+49780*X^3+39691*X^2+14801*X+2166, 39521*X^4-3916*X^3-106779*X^2-95266*X-25384, -13192*X^4-158232*X^3-237336*X^2-140904*X-31008, -80*(X+1)*(499*X^3+1411*X^2+1378*X+456), -12800*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 203/5.28", "degz": 5, "h3": null, "sol": "1 -6 142 -4920 205326 -9555756 477712096 -25120559232 1371618200590 -77102666841156", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 361 2166 14801 39691 49780 26030 -25384 -95266 -106779 -3916 39521 -31008 -140904 -237336 -158232 -13192 -36480 -146720 -223120 -152800 -39920 -12800 -51200 -76800 -51200 -12800", "new_number": "5.27", "id": 235, "operator_tex": "19^{2} \\theta^4+19 x\\left(1370\\theta^4+2620\\theta^3+2089\\theta^2+779\\theta+114\\right)+x^{2}\\left(39521\\theta^4-3916\\theta^3-106779\\theta^2-95266\\theta-25384\\right)-2^{3} x^{3}\\left(1649\\theta^4+19779\\theta^3+29667\\theta^2+17613\\theta+3876\\right)-2^{4} 5 x^{4}(\\theta+1)(499\\theta^3+1411\\theta^2+1378\\theta+456)-2^{9} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-113/19 -8515/19", "discriminant": "5 361 26030 39521 -13192 -39920 -12800", "aesz": "202", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "3bf3c283277de7b3808ad309fac9b7a1", "dim_h": null, "inst": " -113/19 2921/76 -8515/19 146869/19 -3105422/19 299610759/76 -1981081104/19 56074672419/19 -1671866897017/19 103874712503999/38", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(32z^2+71z+1)(19+20z)^2", "discr_factors": "-12800, (19/20+z)^2, z-1, z^2+71/32*z+1/32", "dm_basis": null, "q": "0 1 17 52 447 -11351 287944 -8732823 275975113 -9085625815", "yuk": "1 -113/19 5729/19 -230018/19 9405345/19 -388177863/19 16178756810/19 -679510818785/19 28710241683873/19 -1218790968155411/19", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-71/64-17/64*17^(1/2)","im":"0","approx_re":"-2.204575","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-19/20","im":"0","approx_re":"-0.95","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-71/64+17/64*17^(1/2)","im":"0","approx_re":"-0.014175","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 5*X*(499*X^3+86*X^2+53*X+10), -35200-176320*X-316416*X^2-210928*X^3+26384*X^4, -2529344*X^4-10368000*X^3-9094080*X^2-3298560*X-418560, -6770688-39651328*X-95295488*X^2-111288320*X^3-53309440*X^4, -23658496*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 202 /5.27", "degz": 5, "h3": null, "sol": "1 0 88 -1728 99576 -4104000 218996800 -11248204800 623355019000 -34914774384000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 0 50 265 430 2495 -35200 -176320 -316416 -210928 26384 -418560 -3298560 -9094080 -10368000 -2529344 -6770688 -39651328 -95295488 -111288320 -53309440 -23658496 -94633984 -141950976 -94633984 -23658496", "new_number": "5.28", "id": 236, "operator_tex": "5^{2} \\theta^4+5 x\\theta(499\\theta^3+86\\theta^2+53\\theta+10)+2^{4} x^{2}\\left(1649\\theta^4-13183\\theta^3-19776\\theta^2-11020\\theta-2200\\right)-2^{6} x^{3}\\left(39521\\theta^4+162000\\theta^3+142095\\theta^2+51540\\theta+6540\\right)-2^{11} 19 x^{4}\\left(1370\\theta^4+2860\\theta^3+2449\\theta^2+1019\\theta+174\\right)-2^{16} 19^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-13/5 -6729/5", "discriminant": "5 25 2495 26384 -2529344 -53309440 -23658496", "aesz": "203\n", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "dfab012366b4bc6f7af83dc79f28b802", "dim_h": null, "inst": " -13/5 427/5 -6729/5 173044/5 -952275 31195374 -5514062598/5 42168142346 -8475611077782/5 355803042375043/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z-1)(32z^2+71z+1)(5+152z)^2", "discr_factors": "-23658496, z-1/32, z^2+71/32*z+1/32, (5/152+z)^2", "dm_basis": null, "q": "0 1 2 -275 4288 -95386 2950426 -114735582 4761541376 -209360204557", "yuk": "1 -13/5 3403/5 -181696/5 11078219/5 -595171888/5 6738165128 -1891323471127/5 107950455483979/5 -6178720475884774/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-71/64-17/64*17^(1/2)","im":"0","approx_re":"-2.204575","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/152","im":"0","approx_re":"-0.0328947368421","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-71/64+17/64*17^(1/2)","im":"0","approx_re":"-0.014175","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -784-6370*X-19558*X^2-26376*X^3-14784*X^4, -43008-217392*X-270444*X^2+164064*X^3+273120*X^4, 178080+1256976*X+3122752*X^2+2593920*X^3-852992*X^4, -1216*(1189*X^2+2533*X+1646)*(2*X+1)^2, 739328*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.29\" from ...", "degz": 5, "h3": "14", "sol": "1 16 1440 196000 32418400 6001382016 1195615957536 250815550677120 54669732261487200 12273394443662809600", "n_discr_factors": "3", "c3": "-100", "operator": "4 5 0 0 0 0 49 -784 -6370 -19558 -26376 -14784 -43008 -217392 -270444 164064 273120 178080 1256976 3122752 2593920 -852992 -2001536 -11086272 -21772480 -18103808 -5783296 6653952 35487744 65060864 47316992 11829248", "new_number": "5.29", "id": 237, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(1056\\theta^4+1884\\theta^3+1397\\theta^2+455\\theta+56\\right)+2^{2} 3 x^{2}\\left(22760\\theta^4+13672\\theta^3-22537\\theta^2-18116\\theta-3584\\right)-2^{4} x^{3}\\left(53312\\theta^4-162120\\theta^3-195172\\theta^2-78561\\theta-11130\\right)-2^{6} 19 x^{4}(1189\\theta^2+2533\\theta+1646)(2\\theta+1)^2+2^{11} 19^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "274/7 281388/7", "discriminant": "5 49 -14784 273120 -852992 -5783296 11829248", "aesz": "208", "n_sing_complex": "0", "inst_int": "", "c2h": "8", "hash": "f1d6dfa8a5cdcc2513dfca4243565b2f", "dim_h": "3", "inst": " 274/7 6115/7 281388/7 2815228 1699166270/7 167520498514/7 18130503497782/7 2101140645114904/7 256572748557376418/7 32650723688057254965/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z+1)(512z^2-284z+1)(-7+76z)^2", "discr_factors": "11829248, z+1/4, (-7/76+z)^2, z^2-71/128*z+1/512", "dm_basis": null, "q": "0 1 -66 729 -32236 -3288420 -347743314 -43014021238 -5569467809928 -751375268522460", "yuk": "1 274/7 49194/7 7597750/7 1261271338/7 212395784024/7 36184435325694/7 6218762699739500/7 1075784011560102186/7 187041533698335006472/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"71/256-17/256*17^(1/2)","im":"0","approx_re":"0.003544","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/76","im":"0","approx_re":"0.0921052631579","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"71/256+17/256*17^(1/2)","im":"0","approx_re":"0.551144","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[529*X^4, -21183*X^4-47058*X^3-37812*X^2-14283*X-2116, -380851*X^4-1328584*X^3-1772673*X^2-1033528*X-221168, -951722*X^4-2620344*X^3-2057582*X^2-417864*X+54464, -603364*X^4-953360*X^3-349452*X^2+113152*X+66368, 6936*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.2\" from ...", "degz": 5, "h3": "46", "sol": "1 4 84 2200 71140 2541504 97536936 3933223536 164621744100 7091115631600", "n_discr_factors": "3", "c3": "-106", "operator": "4 5 0 0 0 0 529 -2116 -14283 -37812 -47058 -21183 -221168 -1033528 -1772673 -1328584 -380851 54464 -417864 -2057582 -2620344 -951722 66368 113152 -349452 -953360 -603364 55488 235824 367608 249696 62424", "new_number": "5.2", "id": 238, "operator_tex": "23^{2} \\theta^4-23 x\\left(921\\theta^4+2046\\theta^3+1644\\theta^2+621\\theta+92\\right)-x^{2}\\left(380851\\theta^4+1328584\\theta^3+1772673\\theta^2+1033528\\theta+221168\\right)-2 x^{3}\\left(475861\\theta^4+1310172\\theta^3+1028791\\theta^2+208932\\theta-27232\\right)-2^{2} 17 x^{4}\\left(8873\\theta^4+14020\\theta^3+5139\\theta^2-1664\\theta-976\\right)+2^{3} 3 17^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "80/23 4655/23", "discriminant": "5 529 -21183 -380851 -951722 -603364 62424", "aesz": "19", "n_sing_complex": "0", "inst_int": "", "c2h": "88", "hash": "4532f44d62f644bf66aa7b153d4f5c5a", "dim_h": "15", "inst": " 80/23 1157/46 4655/23 71184/23 1156690/23 22723282/23 477652417/23 10851707552/23 258585745581/23 12862622382465/46", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(z^2-11z-1)(23+34z)^2", "discr_factors": "62424, (23/34+z)^2, z-1/54, z^2-11*z-1", "dm_basis": null, "q": "0 1 -11 -37 371 -7540 -102111 -2527917 -63499383 -1687775155", "yuk": "1 80/23 4708/23 125765/23 4560484/23 144586330/23 4908359305/23 163834779111/23 5556078827108/23 188509008654314/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-23/34","im":"0","approx_re":"-0.676470588235","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2-5/2*5^(1/2)","im":"0","approx_re":"-0.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2+5/2*5^(1/2)","im":"0","approx_re":"11.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, -4046-31790*X-94826*X^2-126072*X^3-64668*X^4, -22644-96424*X-40116*X^2+274304*X^3+249632*X^4, -19176-71196*X-83140*X^2-132192*X^3-264720*X^4, 128*(2*X+1)*(196*X^3+498*X^2+487*X+169), -4096*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.30\" from ...", "degz": 5, "h3": "17", "sol": "1 14 978 103820 13387570 1931770764 299940008676 49034333980632 8328608725527090 1456980085586365340", "n_discr_factors": "2", "c3": "-108", "operator": "4 5 0 0 0 0 289 -4046 -31790 -94826 -126072 -64668 -22644 -96424 -40116 274304 249632 -19176 -71196 -83140 -132192 -264720 21632 105600 188416 152576 50176 -12288 -57344 -94208 -65536 -16384", "new_number": "5.30", "id": 239, "operator_tex": "17^{2} \\theta^4-2 17 x\\left(1902\\theta^4+3708\\theta^3+2789\\theta^2+935\\theta+119\\right)+2^{2} x^{2}\\left(62408\\theta^4+68576\\theta^3-10029\\theta^2-24106\\theta-5661\\right)-2^{2} x^{3}\\left(66180\\theta^4+33048\\theta^3+20785\\theta^2+17799\\theta+4794\\right)+2^{7} x^{4}(2\\theta+1)(196\\theta^3+498\\theta^2+487\\theta+169)-2^{12} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "478/17 285760/17", "discriminant": "5 289 -64668 249632 -264720 50176 -16384", "aesz": "209\n", "n_sing_complex": "2", "inst_int": "", "c2h": "62", "hash": "a03a0a18a8b2a4926d11e4e42b958f98", "dim_h": "8", "inst": " 478/17 7784/17 285760/17 15280156/17 1006004774/17 75737241572/17 6257539142106/17 553524504129196/17 51587780940385410/17 5010295894830256372/17", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z^3-32z^2+220z-1)(-17+32z)^2", "discr_factors": "-16384, z^3-2*z^2+55/4*z-1/16, (-17/32+z)^2", "dm_basis": null, "q": "0 1 -54 713 -21520 -949212 -86515990 -8111414908 -801691231400 -82590394513602", "yuk": "1 478/17 62750/17 7715998/17 977992734/17 125750597228/17 16359251957822/17 2146335925742836/17 283404547092141086/17 37607492305548679888/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12*(7354+2838*33^(1/2))^(1/3)+149/3/(7354+2838*33^(1/2))^(1/3)+2/3","im":"0","approx_re":"0.004548","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/32","im":"0","approx_re":"0.53125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(7354+2838*33^(1/2))^(1/3)-149/6/(7354+2838*33^(1/2))^(1/3)+2/3","im":"1/4*3^(1/2)*(-1/6*(7354+2838*33^(1/2))^(1/3)-298/3/(7354+2838*33^(1/2))^(1/3))","approx_re":"0.997726","approx_im":"-3.570079","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(7354+2838*33^(1/2))^(1/3)-149/6/(7354+2838*33^(1/2))^(1/3)+2/3","im":"-1/4*3^(1/2)*(-1/6*(7354+2838*33^(1/2))^(1/3)-298/3/(7354+2838*33^(1/2))^(1/3))","approx_re":"0.997726","approx_im":"3.570079","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 1876*X^4+4004*X^3+3276*X^2+1274*X+196, -7672-32900*X-54004*X^2-41064*X^3-12732*X^4, 20704*X^4+67200*X^3+82048*X^2+45192*X+9520, -8352-34416*X-54768*X^2-40704*X^3-12288*X^4, 2304*(X+1)^4]", "text": "There is a second MUM-point corresponding to Operator AESZ 117 /5.515.", "degz": 5, "h3": null, "sol": "1 -4 64 -1408 37216 -1093504 34467616 -1141889536 39261600352 -1389328714624", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 49 196 1274 3276 4004 1876 -7672 -32900 -54004 -41064 -12732 9520 45192 82048 67200 20704 -8352 -34416 -54768 -40704 -12288 2304 9216 13824 9216 2304", "new_number": "5.31", "id": 240, "operator_tex": "7^{2} \\theta^4+2 7 x\\left(134\\theta^4+286\\theta^3+234\\theta^2+91\\theta+14\\right)-2^{2} x^{2}\\left(3183\\theta^4+10266\\theta^3+13501\\theta^2+8225\\theta+1918\\right)+2^{3} x^{3}\\left(2588\\theta^4+8400\\theta^3+10256\\theta^2+5649\\theta+1190\\right)-2^{4} 3 x^{4}\\left(256\\theta^4+848\\theta^3+1141\\theta^2+717\\theta+174\\right)+2^{8} 3^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-20/7 -104", "discriminant": "5 49 1876 -12732 20704 -12288 2304", "aesz": "212", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f72aa947ba945355102b3fef56e0af0f", "dim_h": null, "inst": " -20/7 57/4 -104 16385/14 -110508/7 487971/2 -28874844/7 522536803/7 -9957702452/7 112972467743/4", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z-1)(16z^2-44z-1)(6z-7)^2", "discr_factors": "2304, z^2-11/4*z-1/16, (z-7/6)^2, z-1/4", "dm_basis": null, "q": "0 1 10 1 -20 -2412 31482 -619038 12504648 -262953732", "yuk": "1 -20/7 778/7 -19676/7 75014 -1973360 368887198/7 -9904071512/7 267539368234/7 -7259165107184/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"11/8-5/8*5^(1/2)","im":"0","approx_re":"-0.022542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/6","im":"0","approx_re":"1.16666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/8+5/8*5^(1/2)","im":"0","approx_re":"2.772542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -216-1764*X-5556*X^2-7584*X^3-3216*X^4, 56448+309504*X+547840*X^2+206848*X^3-57344*X^4, -552960-1179648*X+3096576*X^2+8257536*X^3+1703936*X^4, 524288*(8*X^2-28*X-33)*(2*X+1)^2, -16777216*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.32\" from ...", "degz": 5, "h3": "12", "sol": "1 24 2664 470400 102047400 24865372224 6530512133376 1807527662493696 520080121087698600 154177852438395614400", "n_discr_factors": "3", "c3": "-60", "operator": "4 5 0 0 0 0 9 -216 -1764 -5556 -7584 -3216 56448 309504 547840 206848 -57344 -552960 -1179648 3096576 8257536 1703936 -17301504 -83886080 -123731968 -41943040 16777216 -150994944 -805306368 -1476395008 -1073741824 -268435456", "new_number": "5.32", "id": 241, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(268\\theta^4+632\\theta^3+463\\theta^2+147\\theta+18\\right)-2^{7} x^{2}\\left(448\\theta^4-1616\\theta^3-4280\\theta^2-2418\\theta-441\\right)+2^{12} x^{3}\\left(416\\theta^4+2016\\theta^3+756\\theta^2-288\\theta-135\\right)+2^{19} x^{4}(8\\theta^2-28\\theta-33)(2\\theta+1)^2-2^{24} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "220/3 89212", "discriminant": "5 9 -3216 -57344 1703936 16777216 -268435456", "aesz": "215", "n_sing_complex": "0", "inst_int": "", "c2h": "48", "hash": "ced61f5675491a3c4446c0e55e7bc36b", "dim_h": "6", "inst": " 220/3 3538/3 89212 7484350 2459418080/3 101765882498 41645703700340/3 2027421395102806 311986325809618928 50032192549267851440", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(4096z^2-384z+1)(3+64z)^2", "discr_factors": "-268435456, z-1/16, z^2-3/32*z+1/4096, (3/64+z)^2", "dm_basis": null, "q": "0 1 -100 4062 -254928 1863469 -1363683960 -138587625198 -25730687151168 -4253310930124026", "yuk": "1 220/3 9508 7226392/3 479007908 307427260220/3 21981433037800 4761492123072280 1038039754771644580 682314094545643821928/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/64","im":"0","approx_re":"-0.046875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64-1/32*2^(1/2)","im":"0","approx_re":"0.002681","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64+1/32*2^(1/2)","im":"0","approx_re":"0.091069","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -3*X*(2+11*X+18*X^2+27*X^3), -3456-17820*X-32562*X^2-22356*X^3-3888*X^4, -178848-688176*X-699840*X^2+90396*X^4, 17496*(2*X+1)*(54*X^3+405*X^2+544*X+200), -944784*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.33\" from ...", "degz": 5, "h3": "18", "sol": "1 0 216 7200 567000 38102400 2992096800 239740300800 20126947440600 1733218043356800", "n_discr_factors": "4", "c3": "-52", "operator": "4 5 0 0 0 0 1 0 -6 -33 -54 -81 -3456 -17820 -32562 -22356 -3888 -178848 -688176 -699840 0 90396 3499200 16516224 26121528 15116544 1889568 -22674816 -111484512 -191791152 -136048896 -34012224", "new_number": "5.33", "id": 242, "operator_tex": "\\theta^4-3 x\\theta(2+11\\theta+18\\theta^2+27\\theta^3)-2 3^{3} x^{2}\\left(72\\theta^4+414\\theta^3+603\\theta^2+330\\theta+64\\right)+2^{2} 3^{5} x^{3}\\left(93\\theta^4-720\\theta^2-708\\theta-184\\right)+2^{3} 3^{7} x^{4}(2\\theta+1)(54\\theta^3+405\\theta^2+544\\theta+200)-2^{4} 3^{10} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "9 14201/3", "discriminant": "5 1 -81 -3888 90396 1889568 -34012224", "aesz": "216", "n_sing_complex": "0", "inst_int": "", "c2h": "48", "hash": "af7027bf24acce4fd0ed5b09e575e2a5", "dim_h": "7", "inst": " 9 225 14201/3 154800 6298596 891120368/3 15388571196 854854622028 150149352094538/3 3054637162639620", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z+1)(108z-1)(36z+1)(-1+18z)^2", "discr_factors": "-34012224, z+1/36, (-1/18+z)^2, z+1/27, z-1/108", "dm_basis": null, "q": "0 1 -6 -693 -12452 -197823 -12446514 -891867937 -56452162728 -3600417678813", "yuk": "1 9 1809 127818 9909009 787324509 64160796114 5278279920237 437685576387345 36486292559100552", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 7*X*(-14-73*X-118*X^2+13*X^3), -56448-267792*X-452856*X^2-322704*X^3-81072*X^4, -2325456-9761472*X-13680576*X^2-7741440*X^3-1567296*X^4, -6912*(2*X+1)*(572*X^3+2370*X^2+2896*X+1095), -82944*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.34\" from ...", "degz": 5, "h3": "42", "sol": "1 0 72 720 37800 907200 36867600 1210809600 47562114600 1773634262400", "n_discr_factors": "4", "c3": "-112", "operator": "4 5 0 0 0 0 49 0 -98 -511 -826 91 -56448 -267792 -452856 -322704 -81072 -2325456 -9761472 -13680576 -7741440 -1567296 -7568640 -35154432 -56415744 -36716544 -7907328 -8709120 -41140224 -68345856 -47775744 -11943936", "new_number": "5.34", "id": 243, "operator_tex": "7^{2} \\theta^4+7 x\\theta(-14-73\\theta-118\\theta^2+13\\theta^3)-2^{3} 3 x^{2}\\left(3378\\theta^4+13446\\theta^3+18869\\theta^2+11158\\theta+2352\\right)-2^{4} 3^{3} x^{3}\\left(3628\\theta^4+17920\\theta^3+31668\\theta^2+22596\\theta+5383\\right)-2^{8} 3^{3} x^{4}(2\\theta+1)(572\\theta^3+2370\\theta^2+2896\\theta+1095)-2^{10} 3^{4} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "17/7 5095/21", "discriminant": "5 49 91 -81072 -1567296 -7907328 -11943936", "aesz": "217", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "e8743aeac19deca699ff90aaef6b8ea7", "dim_h": "14", "inst": " 17/7 254/7 5095/21 29600/7 491991/7 4555616/3 232427670/7 5701763664/7 143522855316/7 3818318314434/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(27z+1)(48z-1)(7+24z)^2", "discr_factors": "-11943936, (7/24+z)^2, z+1/27, z+1/16, z-1/48", "dm_basis": null, "q": "0 1 -2 -195 -904 6482 -107274 -6762194 -156595136 -4062227319", "yuk": "1 17/7 2049/7 45872/7 1896449/7 8785556 2296078368/7 79722690827/7 2919304892417/7 104628161571236/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/24","im":"0","approx_re":"-0.291666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -588-4410*X-12726*X^2-16632*X^3-8064*X^4, 29232+145824*X+245172*X^2+140832*X^3+14256*X^4, -111888-413532*X-373140*X^2+54432*X^3+57456*X^4, -1296*(2*X+1)*(36*X^3+306*X^2+421*X+156), -5184*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.35\" from ...", "degz": 5, "h3": "21", "sol": "1 12 612 48000 4580100 489171312 56221460064 6803598694464 855427705575300 110773656896588400", "n_discr_factors": "2", "c3": "-100", "operator": "4 5 0 0 0 0 49 -588 -4410 -12726 -16632 -8064 29232 145824 245172 140832 14256 -111888 -413532 -373140 54432 57456 -202176 -949968 -1487808 -839808 -93312 -124416 -611712 -1052352 -746496 -186624", "new_number": "5.35", "id": 244, "operator_tex": "7^{2} \\theta^4-2 3 7 x\\left(192\\theta^4+396\\theta^3+303\\theta^2+105\\theta+14\\right)+2^{2} 3 x^{2}\\left(1188\\theta^4+11736\\theta^3+20431\\theta^2+12152\\theta+2436\\right)+2^{2} 3^{3} x^{3}\\left(532\\theta^4+504\\theta^3-3455\\theta^2-3829\\theta-1036\\right)-2^{4} 3^{4} x^{4}(2\\theta+1)(36\\theta^3+306\\theta^2+421\\theta+156)-2^{6} 3^{4} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "138/7 42984/7", "discriminant": "5 49 -8064 14256 57456 -93312 -186624", "aesz": "218", "n_sing_complex": "2", "inst_int": "", "c2h": "66", "hash": "a76111af659715caf2c4344eedd9d678", "dim_h": "9", "inst": " 138/7 1506/7 42984/7 235596 78950334/7 4311467320/7 258386346378/7 16576489470036/7 3361119367433372/21 78908087793620790/7", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(1296z^3-864z^2+168z-1)(7+12z)^2", "discr_factors": "-186624, (7/12+z)^2, z^3-2/3*z^2+7/54*z-1/1296", "dm_basis": null, "q": "0 1 -42 573 -13784 -136254 -18358578 -1105132514 -81272201832 -6045671622591", "yuk": "1 138/7 12186/7 1160706/7 105559194/7 9868791888/7 931278113874/7 88626516807792/7 8487162714217626/7 816752006287470102/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/12","im":"0","approx_re":"-0.583333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36*(142+34*17^(1/2))^(1/3)-2/9/(142+34*17^(1/2))^(1/3)+2/9","im":"0","approx_re":"0.006145","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/72*(142+34*17^(1/2))^(1/3)+1/9/(142+34*17^(1/2))^(1/3)+2/9","im":"1/12*3^(1/2)*(-1/6*(142+34*17^(1/2))^(1/3)+4/3/(142+34*17^(1/2))^(1/3))","approx_re":"0.330261","approx_im":"-0.128447","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/72*(142+34*17^(1/2))^(1/3)+1/9/(142+34*17^(1/2))^(1/3)+2/9","im":"-1/12*3^(1/2)*(-1/6*(142+34*17^(1/2))^(1/3)+4/3/(142+34*17^(1/2))^(1/3))","approx_re":"0.330261","approx_im":"0.128447","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -300-2450*X-7630*X^2-10360*X^3-4640*X^4, -84240-475200*X-961164*X^2-808992*X^3-254304*X^4, -2682720-13821840*X-24344064*X^2-17262720*X^3-4458240*X^4, -419904*(19*X^2+59*X+45)*(2*X+1)^2, -5038848*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.36\" from ...", "degz": 5, "h3": "15", "sol": "1 12 972 109200 14949900 2286334512 376061860944 65109771739584 11710361039820300 2169000021258642000", "n_discr_factors": "3", "c3": "-80", "operator": "4 5 0 0 0 0 25 -300 -2450 -7630 -10360 -4640 -84240 -475200 -961164 -808992 -254304 -2682720 -13821840 -24344064 -17262720 -4458240 -18895680 -100357056 -182658240 -131010048 -31912704 -45349632 -241864704 -443418624 -322486272 -80621568", "new_number": "5.36", "id": 245, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(464\\theta^4+1036\\theta^3+763\\theta^2+245\\theta+30\\right)-2^{2} 3^{2} x^{2}\\left(7064\\theta^4+22472\\theta^3+26699\\theta^2+13200\\theta+2340\\right)-2^{4} 3^{4} x^{3}\\left(3440\\theta^4+13320\\theta^3+18784\\theta^2+10665\\theta+2070\\right)-2^{6} 3^{8} x^{4}(19\\theta^2+59\\theta+45)(2\\theta+1)^2-2^{8} 3^{9} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "166/5 360988/15", "discriminant": "5 25 -4640 -254304 -4458240 -31912704 -80621568", "aesz": "219", "n_sing_complex": "0", "inst_int": "", "c2h": "54", "hash": "b7068bb339f61ebd7c591b7be3fe5893", "dim_h": "7", "inst": " 166/5 638 360988/15 7222128/5 524377242/5 131193711836/15 4000277954562/5 391889229956368/5 121356236706820138/15 4351629319618625834/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(3888z^2+216z-1)(5+36z)^2", "discr_factors": "-80621568, z^2+1/18*z-1/3888, (5/36+z)^2, z+1/16", "dm_basis": null, "q": "0 1 -50 -87 -236 -2064444 -160470498 -16533089262 -1821805810632 -207459102118464", "yuk": "1 166/5 25686/5 3249058/5 462241878/5 65547155416/5 1889190105354 1372095338414932/5 200647286199902294/5 29489565519760542592/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/36","im":"0","approx_re":"-0.138888888889","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36-1/54*3^(1/2)","im":"0","approx_re":"-0.059853","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36+1/54*3^(1/2)","im":"0","approx_re":"0.004297","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -8080*X^4-21920*X^3-15460*X^2-4500*X-500, -1070336*X^4-2198528*X^3-1617536*X^2-844800*X-186000, -3840*(2*X+1)*(5672*X^3+9500*X^2+8422*X+2689), -294912*(2*X+1)*(1208*X^3+2892*X^2+2842*X+969), -28311552*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.37\" from ...", "degz": 5, "h3": "10", "sol": "1 20 2988 618320 156299500 44234633520 13477733161200 4325154502743360 1442412961677873900 495512411116338902000", "n_discr_factors": "3", "c3": "-32", "operator": "4 5 0 0 0 0 25 -500 -4500 -15460 -21920 -8080 -186000 -844800 -1617536 -2198528 -1070336 -10325760 -52992000 -101160960 -94740480 -43560960 -285769728 -1409679360 -2529165312 -2062024704 -712507392 -2972712960 -14042529792 -23328718848 -16307453952 -4076863488", "new_number": "5.37", "id": 246, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(404\\theta^4+1096\\theta^3+773\\theta^2+225\\theta+25\\right)-2^{4} x^{2}\\left(66896\\theta^4+137408\\theta^3+101096\\theta^2+52800\\theta+11625\\right)-2^{8} 3 5 x^{3}(2\\theta+1)(5672\\theta^3+9500\\theta^2+8422\\theta+2689)-2^{15} 3^{2} x^{4}(2\\theta+1)(1208\\theta^3+2892\\theta^2+2842\\theta+969)-2^{20} 3^{3} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "492/5 872164/5", "discriminant": "5 25 -8080 -1070336 -43560960 -712507392 -4076863488", "aesz": "221", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "b7ce7a734c057660ce3d6341a7572078", "dim_h": "5", "inst": " 492/5 10376/5 872164/5 91316176/5 12181916784/5 1850294589528/5 61762450157748 55187365344835504/5 10392704764770167864/5 2039663615626409751968/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+432z)(16z+1)^2(192z+5)^2", "discr_factors": "-4076863488, (z+5/192)^2, -1/432+z, (z+1/16)^2", "dm_basis": null, "q": "0 1 -100 1574 -102288 -20602367 -2977974168 -588048101710 -116875168258112 -24320631644865004", "yuk": "1 492/5 16700 4709784 5844318764/5 1522739598492/5 399663654969976/5 105922602020538312/5 28255931062400096812/5 7576281773517475921776/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/4","3/4","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/192","im":"0","approx_re":"-0.0260416666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 6*X*(48*X^3-12*X^2-7*X-1), 6912+40608*X+83700*X^2+52704*X^3+42336*X^4, 1080864+6356880*X+13654656*X^2+12783744*X^3+4603392*X^4, 419904*(169*X^2+361*X+238)*(2*X+1)^2, 362797056*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.38\" from ...", "degz": 5, "h3": null, "sol": "1 0 -432 7200 1587600 -76204800 -8324316000 779155977600 44704074214800 -7922861987040000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 0 -6 -42 -72 288 6912 40608 83700 52704 42336 1080864 6356880 13654656 12783744 4603392 99937152 551333952 1077053760 890196480 283855104 3265173504 17414258688 31926140928 23219011584 5804752896", "new_number": "5.38", "id": 247, "operator_tex": "\\theta^4+2 3 x\\theta(48\\theta^3-12\\theta^2-7\\theta-1)+2^{2} 3^{3} x^{2}\\left(392\\theta^4+488\\theta^3+775\\theta^2+376\\theta+64\\right)+2^{4} 3^{5} x^{3}\\left(1184\\theta^4+3288\\theta^3+3512\\theta^2+1635\\theta+278\\right)+2^{6} 3^{8} x^{4}(169\\theta^2+361\\theta+238)(2\\theta+1)^2+2^{11} 3^{11} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "18 64744/3", "discriminant": "5 1 288 42336 4603392 283855104 5804752896", "aesz": "223", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e3ab25cffe4a0968b175bd9e98c96427", "dim_h": null, "inst": " 18 -873 64744/3 -229968 -1628892 -2539244900/3 103073101740 -4227953354280 -129441534425950/3 6772362915828510", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(36z+1)(13824z^2+36z+1)(1+108z)^2", "discr_factors": "5804752896, (1/108+z)^2, z^2+1/384*z+1/13824, z+1/36", "dm_basis": null, "q": "0 1 -6 1791 -66236 2739399 -98335674 6995913197 -609427373016 35265125115648", "yuk": "1 18 -6966 582714 -14724918 -203611482 -182825057070 35354073896838 -2164712132116278 -31454292864923136", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"-5/2304*15^(1/2)","approx_re":"-0.00130208333333","approx_im":"-0.008405","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"5/2304*15^(1/2)","approx_re":"-0.00130208333333","approx_im":"0.008405","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -200-1450*X-4095*X^2-5290*X^3-5285*X^4, 5760+48320*X+186816*X^2+365408*X^3+323936*X^4, -1305600-6528000*X-12342016*X^2-11919360*X^3-7931136*X^4, 180224*(2*X+1)*(234*X^3+591*X^2+581*X+202), -126877696*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.39\" from ...", "degz": 5, "h3": "20", "sol": "1 8 312 19520 1475320 124363008 11265866304 1073852921856 106307436601080 10836331719836480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 25 -200 -1450 -4095 -5290 -5285 5760 48320 186816 365408 323936 -1305600 -6528000 -12342016 -11919360 -7931136 36405248 177520640 315932672 255197184 84344832 -380633088 -1776287744 -2918187008 -2030043136 -507510784", "new_number": "5.39", "id": 248, "operator_tex": "5^{2} \\theta^4-5 x\\left(1057\\theta^4+1058\\theta^3+819\\theta^2+290\\theta+40\\right)+2^{5} x^{2}\\left(10123\\theta^4+11419\\theta^3+5838\\theta^2+1510\\theta+180\\right)-2^{8} x^{3}\\left(30981\\theta^4+46560\\theta^3+48211\\theta^2+25500\\theta+5100\\right)+2^{14} 11 x^{4}(2\\theta+1)(234\\theta^3+591\\theta^2+581\\theta+202)-2^{20} 11^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "59/5 22503/5", "discriminant": "5 25 -5285 323936 -7931136 84344832 -507510784", "aesz": "224", "n_sing_complex": "2", "inst_int": "", "c2h": "56", "hash": "ba17e8cb074bba75e7a27206be530698", "dim_h": "8", "inst": " 59/5 186 22503/5 718052/5 29091017/5 1367927712/5 14151915978 3919628383228/5 228793583855178/5 13919107695848262/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(128z-1)(128z^2-13z+1)(-5+176z)^2", "discr_factors": "-507510784, (-5/176+z)^2, z-1/128, z^2-13/128*z+1/128", "dm_basis": null, "q": "0 1 -26 -27 -5160 -163922 -10140210 -599548870 -37048333664 -2381226834885", "yuk": "1 59/5 7499/5 121528 45962827/5 3636377184/5 295473000872/5 24270535902329/5 2006849778175563/5 166790522631032402/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/176","im":"0","approx_re":"0.0284090909091","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"-7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"-0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -144*X^4-180*X^3-159*X^2-69*X-12, 7857*X^4+17820*X^3+20871*X^2+12096*X+2736, -205578*X^4-629856*X^3-851958*X^2-542376*X-129600, 2598156*X^4+9447840*X^3+13568148*X^2+8608032*X+2006208, -1417176*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "A-Incarnation: (3,0),(0,3),(1,1) intersection in $P^3 \\times \\P^3$.", "degz": 5, "h3": "54", "sol": "1 12 252 6600 198540 6616512 238795704 9174387024 370128617100 15513158060400", "n_discr_factors": "3", "c3": "-18", "operator": "4 5 0 0 0 0 1 -12 -69 -159 -180 -144 2736 12096 20871 17820 7857 -129600 -542376 -851958 -629856 -205578 2006208 8608032 13568148 9447840 2598156 -11337408 -48183984 -75110328 -51018336 -12754584", "new_number": "5.3", "id": 249, "operator_tex": "\\theta^4-3 x\\left(48\\theta^4+60\\theta^3+53\\theta^2+23\\theta+4\\right)+3^{2} x^{2}\\left(873\\theta^4+1980\\theta^3+2319\\theta^2+1344\\theta+304\\right)-2 3^{4} x^{3}\\left(1269\\theta^4+3888\\theta^3+5259\\theta^2+3348\\theta+800\\right)+2^{2} 3^{6} x^{4}\\left(891\\theta^4+3240\\theta^3+4653\\theta^2+2952\\theta+688\\right)-2^{3} 3^{11} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "3 245/3", "discriminant": "5 1 -144 7857 -205578 2598156 -12754584", "aesz": "20", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "a9a698dc5c79ffda497a7897390408b0", "dim_h": "15", "inst": " 3 33/2 245/3 879 11829 993487/6 2570790 43196640 2285716376/3 27978313311/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(54z-1)(27z-1)^2(18z-1)^2", "discr_factors": "-12754584, (z-1/18)^2, z-1/54, (z-1/27)^2", "dm_basis": null, "q": "0 1 -21 306 -3931 41658 -433134 3702113 -38458437 216542484", "yuk": "1 3 135 2208 56391 1478628 35767872 881780973 22116736071 555429081576", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -300-2050*X-5510*X^2-6920*X^3-3280*X^4, 58320+276240*X+460644*X^2+304992*X^3+64224*X^4, -1136160-4408560*X-5230656*X^2-1952640*X^3-152064*X^4, -1728*(2*X+1)*(586*X^3+3039*X^2+3947*X+1527), -20736*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.40\" from ...", "degz": 5, "h3": "30", "sol": "1 12 396 19920 1241100 87281712 6628328784 530854264512 44210267063820 3794011978270800", "n_discr_factors": "4", "c3": "-76", "operator": "4 5 0 0 0 0 25 -300 -2050 -5510 -6920 -3280 58320 276240 460644 304992 64224 -1136160 -4408560 -5230656 -1952640 -152064 -2638656 -12097728 -18892224 -11515392 -2025216 -2177280 -10285056 -17086464 -11943936 -2985984", "new_number": "5.40", "id": 250, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(328\\theta^4+692\\theta^3+551\\theta^2+205\\theta+30\\right)+2^{2} 3 x^{2}\\left(5352\\theta^4+25416\\theta^3+38387\\theta^2+23020\\theta+4860\\right)-2^{4} 3^{3} x^{3}\\left(352\\theta^4+4520\\theta^3+12108\\theta^2+10205\\theta+2630\\right)-2^{6} 3^{3} x^{4}(2\\theta+1)(586\\theta^3+3039\\theta^2+3947\\theta+1527)-2^{8} 3^{4} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "62/5 4060/3", "discriminant": "5 25 -3280 64224 -152064 -2025216 -2985984", "aesz": "226", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "92f95cd33ac4bf18c2d05ce3040c5203", "dim_h": "11", "inst": " 62/5 55 4060/3 28790 861786 142235826/5 1037839042 202280686482/5 24925623464146/15 71113248663729", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z-1)(108z-1)(12z-1)(5+12z)^2", "discr_factors": "-2985984, z-1/108, z-1/16, z-1/12, (5/12+z)^2", "dm_basis": null, "q": "0 1 -34 681 -15884 276164 -7151058 68883986 -4231865736 -52348783680", "yuk": "1 62/5 2262/5 182762/5 9215062/5 538616312/5 30723123378/5 1779893957092/5 103567720693846/5 1211385300394048", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/12","im":"0","approx_re":"-0.416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 24+96*X-147*X^2-486*X^3+2835*X^4, 66096+546912*X+1650294*X^2+481140*X^3+2904336*X^4, 122157072+738138744*X+1693875240*X^2+1749739968*X^3+1367181180*X^4, 17950896*(4743*X^2+8199*X+4922)*(2*X+1)^2, 2652137178624*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.41\" from ...", "degz": 5, "h3": null, "sol": "1 -24 -648 494400 -82643400 637834176 3479031331776 -935710993122048 64804029542623800 35965884270277790400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 24 96 -147 -486 2835 66096 546912 1650294 481140 2904336 122157072 738138744 1693875240 1749739968 1367181180 88354310112 500596636752 1027275925392 929281984128 340564398912 23869234607616 127302584573952 233388071718912 169736779431936 42434194857984", "new_number": "5.41", "id": 251, "operator_tex": "\\theta^4+3 x\\left(945\\theta^4-162\\theta^3-49\\theta^2+32\\theta+8\\right)+2 3^{4} x^{2}\\left(17928\\theta^4+2970\\theta^3+10187\\theta^2+3376\\theta+408\\right)+2^{2} 3^{7} x^{3}\\left(156285\\theta^4+200016\\theta^3+193630\\theta^2+84378\\theta+13964\\right)+2^{4} 3^{10} 19 x^{4}(4743\\theta^2+8199\\theta+4922)(2\\theta+1)^2+2^{9} 3^{15} 19^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "291 7935104", "discriminant": "5 1 2835 2904336 1367181180 340564398912 42434194857984", "aesz": "230", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "ac762b013587176079179af09a110ab6", "dim_h": null, "inst": " 291 -38832 7935104 -2098976940 651305429796 -224437425162424 83128601494804920 -32444584678196247132 13177489579835344374890 -5523040461895636090503264", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(432z+1)(93312z^2+351z+1)(1+1026z)^2", "discr_factors": "42434194857984, z+1/432, z^2+13/3456*z+1/93312, (1/1026+z)^2", "dm_basis": null, "q": "0 1 0 18360 -4788360 1753795260 -680398930800 281711635662780 -121775260748538960 54320367219815108790", "yuk": "1 291 -310365 214248099 -134334834525 81413178724791 -48478483621146141 28513110312718087851 -16611627355370813366109 9606389903699966263542909", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/432","im":"0","approx_re":"-0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/6912","im":"-7/6912*7^(1/2)","approx_re":"-0.00188078703704","approx_im":"-0.002679","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/6912","im":"7/6912*7^(1/2)","approx_re":"-0.00188078703704","approx_im":"0.002679","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1026","im":"0","approx_re":"-0.000974658869396","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -336*X^4-12192*X^3-8868*X^2-2772*X-360, -598016*X^4+495616*X^3+4873216*X^2+2726400*X+514560, 64749568*X^4+537919488*X^3-48693248*X^2-277217280*X-81592320, 83886080*(2*X+1)^2*(9*X^2-279*X-277), -214748364800*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.42\" from ...", "degz": 5, "h3": "24", "sol": "1 40 3240 313600 39327400 6836840640 1398485088000 287831878963200 57369598161618600 11331941234610568000", "n_discr_factors": "3", "c3": "160", "operator": "4 5 0 0 0 0 9 -360 -2772 -8868 -12192 -336 514560 2726400 4873216 495616 -598016 -81592320 -277217280 -48693248 537919488 64749568 -23236444160 -116349992960 -185807667200 -90596966400 3019898880 -1932735283200 -10307921510400 -18897856102400 -13743895347200 -3435973836800", "new_number": "5.42", "id": 252, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(28\\theta^4+1016\\theta^3+739\\theta^2+231\\theta+30\\right)-2^{9} x^{2}\\left(1168\\theta^4-968\\theta^3-9518\\theta^2-5325\\theta-1005\\right)+2^{16} x^{3}\\left(988\\theta^4+8208\\theta^3-743\\theta^2-4230\\theta-1245\\right)+2^{24} 5 x^{4}(2\\theta+1)^2(9\\theta^2-279\\theta-277)-2^{33} 5^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "460/3 894404/3", "discriminant": "5 9 -336 -598016 64749568 3019898880 -3435973836800", "aesz": "231", "n_sing_complex": "2", "inst_int": "", "c2h": "48", "hash": "6f793238336123adfdcd7ee17d64e5ec", "dim_h": "8", "inst": " 460/3 -16828/3 894404/3 -42271624/3 2076730720/3 -38528751132 8917464280004/3 -542632735497112/3 -283161037907024 5746833240027316640/3", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(256z-1)(32768z^2-208z+1)(3+640z)^2", "discr_factors": "-3435973836800, z^2-13/2048*z+1/32768, (3/640+z)^2, z-1/256", "dm_basis": null, "q": "0 1 -148 22750 -3519120 519555885 -74154605336 10333908777490 -1416408002790208 191246314829136646", "yuk": "1 460/3 -134164/3 24149368/3 -2705518100/3 86530446820 -24966606718792/3 1019563416013944 -277827963280039444/3 -619273189878512120/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/640","im":"0","approx_re":"-0.0046875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4096","im":"-7/4096*7^(1/2)","approx_re":"0.003173828125","approx_im":"-0.004522","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4096","im":"7/4096*7^(1/2)","approx_re":"0.003173828125","approx_im":"0.004522","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -14*X*(192*X^3+60*X^2+37*X+7), -75264-378224*X-666860*X^2-460576*X^3-70432*X^4, -723744-1073520*X+3963456*X^2+8249472*X^3+2921472*X^4, -15552*(2*X+1)*(458*X^3-657*X^2-1799*X-846), -26873856*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.43\" from ...", "degz": 5, "h3": "28", "sol": "1 0 96 1440 90720 3024000 159482400 7063056000 367127560800 18305826739200", "n_discr_factors": "4", "c3": "-88", "operator": "4 5 0 0 0 0 49 0 -98 -518 -840 -2688 -75264 -378224 -666860 -460576 -70432 -723744 -1073520 3963456 8249472 2921472 13156992 54292032 66173760 13312512 -14245632 -80621568 -376233984 -618098688 -429981696 -107495424", "new_number": "5.43", "id": 253, "operator_tex": "7^{2} \\theta^4-2 7 x\\theta(192\\theta^3+60\\theta^2+37\\theta+7)-2^{2} x^{2}\\left(17608\\theta^4+115144\\theta^3+166715\\theta^2+94556\\theta+18816\\right)+2^{4} 3^{2} x^{3}\\left(20288\\theta^4+57288\\theta^3+27524\\theta^2-7455\\theta-5026\\right)-2^{6} 3^{5} x^{4}(2\\theta+1)(458\\theta^3-657\\theta^2-1799\\theta-846)-2^{12} 3^{8} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "18/7 5676/7", "discriminant": "5 49 -2688 -70432 2921472 -14245632 -107495424", "aesz": "234", "n_sing_complex": "0", "inst_int": "", "c2h": "64", "hash": "3e70b30959c0c3bd799b435b9c842186", "dim_h": "10", "inst": " 18/7 515/7 5676/7 133796/7 2929726/7 87647986/7 2643655734/7 89882706040/7 3134330742434/7 115631317695925/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z-1)(36z+1)(4z+1)(-7+108z)^2", "discr_factors": "-107495424, z-1/64, z+1/36, z+1/4, (-7/108+z)^2", "dm_basis": null, "q": "0 1 -2 -295 -2924 -32612 -911890 -42874486 -1630783880 -64380442076", "yuk": "1 18/7 4138/7 153270/7 8567082/7 366215768/7 18932122366/7 906773916780/7 6574279151366 2284927111387656/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/108","im":"0","approx_re":"0.0648148148148","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -2028-14534*X-40859*X^2-52650*X^3-18837*X^4, 281424+1317056*X+1936736*X^2+433792*X^3-364160*X^4, -5001984-16253952*X-8778752*X^2+10223616*X^3+978944*X^4, -196608*(2*X+1)*(40*X^3+684*X^2+1013*X+399), -9437184*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.44\" from ...", "degz": 5, "h3": "26", "sol": "1 12 468 28560 2135700 179060112 16166559024 1537448717376 151947395002260 15468902712634800", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 169 -2028 -14534 -40859 -52650 -18837 281424 1317056 1936736 433792 -364160 -5001984 -16253952 -8778752 10223616 978944 -78446592 -356057088 -532807680 -276824064 -15728640 -424673280 -2038431744 -3435134976 -2415919104 -603979776", "new_number": "5.44", "id": 254, "operator_tex": "13^{2} \\theta^4-13 x\\left(1449\\theta^4+4050\\theta^3+3143\\theta^2+1118\\theta+156\\right)-2^{4} x^{2}\\left(22760\\theta^4-27112\\theta^3-121046\\theta^2-82316\\theta-17589\\right)+2^{8} x^{3}\\left(3824\\theta^4+39936\\theta^3-34292\\theta^2-63492\\theta-19539\\right)-2^{16} 3 x^{4}(2\\theta+1)(40\\theta^3+684\\theta^2+1013\\theta+399)-2^{20} 3^{2} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "231/13 38037/13", "discriminant": "5 169 -18837 -364160 978944 -15728640 -603979776", "aesz": "240", "n_sing_complex": "2", "inst_int": "", "c2h": "68", "hash": "8f46cd6968b3b676e251a9d8635637fc", "dim_h": "10", "inst": " 231/13 826/13 38037/13 786076/13 32662752/13 1251531252/13 56830429026/13 2686705844700/13 135076469305428/13 7052986465933572/13", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(128z-1)(128z^2-13z+1)(13+192z)^2", "discr_factors": "-603979776, z-1/128, (13/192+z)^2, z^2-13/128*z+1/128", "dm_basis": null, "q": "0 1 -38 771 -20752 393365 -14552562 106677773 -15365058336 -334070060625", "yuk": "1 231/13 6839/13 1027230/13 50315703/13 4082844231/13 270331784270/13 19492837156149/13 1375593442802103/13 98470746124684242/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/192","im":"0","approx_re":"-0.0677083333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"-7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"-0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/256","im":"7/256*7^(1/2)","approx_re":"0.05078125","approx_im":"0.072345","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 432*X^4+648*X^3+546*X^2+222*X+36, 69984*X^4+194400*X^3+238788*X^2+134784*X+28080, 5225472*X^4+19315584*X^3+28460160*X^2+18464112*X+4167936, 139968*(2*X+1)*(630*X^3+2241*X^2+2617*X+971), 15116544*(2*X+1)*(6*X+5)*(6*X+7)*(2*X+3)]", "text": "This is operator \"5.45\" from ...", "degz": 5, "h3": null, "sol": "1 -36 2484 -208080 19221300 -1888001136 193742808336 -20566046090304 2244392272748340 -250758702128048400", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 36 222 546 648 432 28080 134784 238788 194400 69984 4167936 18464112 28460160 19315584 5225472 135908928 638114112 1046260800 715516416 176359680 1587237120 7497805824 12456032256 8707129344 2176782336", "new_number": "5.45", "id": 255, "operator_tex": "\\theta^4+2 3 x\\left(72\\theta^4+108\\theta^3+91\\theta^2+37\\theta+6\\right)+2^{2} 3^{3} x^{2}\\left(648\\theta^4+1800\\theta^3+2211\\theta^2+1248\\theta+260\\right)+2^{4} 3^{5} x^{3}\\left(1344\\theta^4+4968\\theta^3+7320\\theta^2+4749\\theta+1072\\right)+2^{6} 3^{7} x^{4}(2\\theta+1)(630\\theta^3+2241\\theta^2+2617\\theta+971)+2^{8} 3^{10} x^{5}(2\\theta+1)(6\\theta+5)(6\\theta+7)(2\\theta+3)", "superseek": "-18 1568/3", "discriminant": "5 1 432 69984 5225472 176359680 2176782336", "aesz": "242", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "562c18d54c0080ebb0bb01b14a8241ce", "dim_h": null, "inst": " -18 99/2 1568/3 22698 -165960 2979728/3 -206159976 2947323474 -257219860828/3 4070912398110", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+144z)(36z+1)^2(108z+1)^2", "discr_factors": "2176782336, (z+1/108)^2, 1/144+z, (z+1/36)^2", "dm_basis": null, "q": "0 1 78 4923 276188 14265609 696221946 32564824691 1475431621176 65175435352755", "yuk": "1 -18 378 14094 1453050 -20745018 214554906 -70712871786 1509031071738 -62504426167110", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/6","7/6","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 295*X^4+572*X^3+424*X^2+138*X+17, 1686*X^4+1488*X^3-946*X^2-962*X-202, 2258*X^4-1032*X^3-1450*X^2-318*X+8, -519*X^4-1056*X^3-870*X^2-342*X-54, -9*(X+1)^4]", "text": "A-incarnation: $7 \\times 7$ linear Pfaffian in $P^7$.\nThere is a second MUM point at infinity, associated to\nthe 7 fold linear section of $G(2,7)$ AESZ 27/5.7\n", "degz": 5, "h3": null, "sol": "1 -17 1549 -215585 36505501 -6921832517 1412721479989 -303643747364513 67815981014552605 -15600719128907479517", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 17 138 424 572 295 -202 -962 -946 1488 1686 8 -318 -1450 -1032 2258 -54 -342 -870 -1056 -519 -9 -36 -54 -36 -9", "new_number": "5.46", "id": 256, "operator_tex": "\\theta^4+x\\left(295\\theta^4+572\\theta^3+424\\theta^2+138\\theta+17\\right)+2 x^{2}\\left(843\\theta^4+744\\theta^3-473\\theta^2-481\\theta-101\\right)+2 x^{3}\\left(1129\\theta^4-516\\theta^3-725\\theta^2-159\\theta+4\\right)-3 x^{4}\\left(173\\theta^4+352\\theta^3+290\\theta^2+114\\theta+18\\right)-3^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-42 -41706", "discriminant": "5 1 295 1686 2258 -519 -9", "aesz": "243\n", "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "93c30005b5a976a2b7c5206d5e679a45", "dim_h": null, "inst": " -42 875 -41706 2954224 -257813864 25738516377 -2820518451954 330947014189001 -40915701638541114 5271607385884271558", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z^3+57z^2-289z-1)(3z+1)^2", "discr_factors": "-9, (z+1/3)^2, z^3+57*z^2-289*z-1", "dm_basis": null, "q": "0 1 70 1127 47530 -3054373 361505368 -45010753732 5899877798258 -806209019396627", "yuk": "1 -42 6958 -1126104 189077294 -32226733042 5559518418328 -967437829020264 169444871453845806 -29827546494497598210", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/6*(-756+84*I*3^(1/2))^(1/3)-98/(-756+84*I*3^(1/2))^(1/3)-19+1/2*I*3^(1/2)*(7/3*(-756+84*I*3^(1/2))^(1/3)-196/(-756+84*I*3^(1/2))^(1/3))","im":"0","approx_re":"-61.684843","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/6*(-756+84*I*3^(1/2))^(1/3)-98/(-756+84*I*3^(1/2))^(1/3)-19-1/2*I*3^(1/2)*(7/3*(-756+84*I*3^(1/2))^(1/3)-196/(-756+84*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.003458","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"7/3*(-756+84*I*3^(1/2))^(1/3)+196/(-756+84*I*3^(1/2))^(1/3)-19","im":"0","approx_re":"4.688301","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -240*X^4-960*X^3-980*X^2-500*X-100, -8704*X^4-28672*X^3-39104*X^2-25280*X-6480, 57344*X^4+491520*X^3+1180672*X^2+1090560*X+350720, 589824*X^4+3145728*X^3+5357568*X^2+3784704*X+962560, 1048576*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 247/5.48", "degz": 5, "h3": null, "sol": "1 4 44 400 5356 59504 851696 10373696 153465580 1971364144", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -100 -500 -980 -960 -240 -6480 -25280 -39104 -28672 -8704 350720 1090560 1180672 491520 57344 962560 3784704 5357568 3145728 589824 1048576 4194304 6291456 4194304 1048576", "new_number": "5.47", "id": 257, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(12\\theta^4+48\\theta^3+49\\theta^2+25\\theta+5\\right)-2^{4} x^{2}\\left(544\\theta^4+1792\\theta^3+2444\\theta^2+1580\\theta+405\\right)+2^{9} x^{3}\\left(112\\theta^4+960\\theta^3+2306\\theta^2+2130\\theta+685\\right)+2^{12} x^{4}\\left(144\\theta^4+768\\theta^3+1308\\theta^2+924\\theta+235\\right)+2^{20} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-4/5 -108/5", "discriminant": "5 25 -240 -8704 57344 589824 1048576", "aesz": "246", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f51a0c39f9179dc6a561b9afb6f9d85f", "dim_h": null, "inst": " -4/5 22/5 -108/5 694/5 -1040 45234/5 -435788/5 4527046/5 -49614888/5 566774264/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+16z)(16z+5)^2(16z-1)^2", "discr_factors": "1048576, (z-1/16)^2, (z+5/16)^2, 1/16+z", "dm_basis": null, "q": "0 1 -4 -26 368 -1919 5544 -26382 512960 -8419180", "yuk": "1 -4/5 172/5 -584 44588/5 -650004/5 1953560 -149475288/5 463578428 -36169256272/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/16","im":"0","approx_re":"-0.3125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2304*X^4-3072*X^3-2112*X^2-576*X-80, 917504*X^4-4194304*X^3+802816*X^2+409600*X+106496, -570425344*X^4-402653184*X^3-348127232*X^2-113246208*X-22020096, -64424509440*X^4+123480309760*X^2+123480309760*X+37580963840, 27487790694400*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operaor AESZ 246/ 5.47", "degz": 5, "h3": null, "sol": "1 80 11024 1850624 343952656 68020122880 14026137862400 2980639208427520 647948081603714320 143375501435413402880", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -80 -576 -2112 -3072 2304 106496 409600 802816 -4194304 917504 -22020096 -113246208 -348127232 -402653184 -570425344 37580963840 123480309760 123480309760 0 -64424509440 27487790694400 109951162777600 164926744166400 109951162777600 27487790694400", "new_number": "5.48", "id": 258, "operator_tex": "\\theta^4+2^{4} x\\left(144\\theta^4-192\\theta^3-132\\theta^2-36\\theta-5\\right)+2^{13} x^{2}\\left(112\\theta^4-512\\theta^3+98\\theta^2+50\\theta+13\\right)-2^{20} x^{3}\\left(544\\theta^4+384\\theta^3+332\\theta^2+108\\theta+21\\right)-2^{30} 5 x^{4}\\left(12\\theta^4-23\\theta^2-23\\theta-7\\right)+2^{40} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "608 22293216", "discriminant": "5 1 2304 917504 -570425344 -64424509440 27487790694400", "aesz": "247", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "6c0503129f3500c26cf001c1908a17f7", "dim_h": null, "inst": " 608 -85544 22293216 -7629059800 3042437418016 -1338511583787272 630552444969044832 -312384713823657262168 160854766596487097431296 -85399168156054562446369592", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+256z)(1280z+1)^2(256z-1)^2", "discr_factors": "27487790694400, (z-1/256)^2, (z+1/1280)^2, 1/256+z", "dm_basis": null, "q": "0 1 -256 85856 -35256320 16388700720 -8241592643584 4371452849885696 -2409036448795197440 1366191528562010983064", "yuk": "1 608 -683744 601917440 -488260510944 380304677252608 -289118501496817664 216279488624382377984 -159940973478200778740960 117263124848839094629332224", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1280","im":"0","approx_re":"-0.00078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -318*X^4-438*X^3-345*X^2-126*X-18, -4511*X^4-24314*X^3-37829*X^2-23598*X-5286, 41828*X^4+128736*X^3+97796*X^2+14508*X-5268, -70224*X^4-89760*X^3+4444*X^2+47740*X+16984, -1936*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.49\" from ...", "degz": 5, "h3": "48", "sol": "1 2 54 1028 29110 840252 26776764 886326408 30553518006 1082050391180", "n_discr_factors": "3", "c3": "-92", "operator": "4 5 0 0 0 0 9 -18 -126 -345 -438 -318 -5286 -23598 -37829 -24314 -4511 -5268 14508 97796 128736 41828 16984 47740 4444 -89760 -70224 -29040 -120032 -183920 -123904 -30976", "new_number": "5.49", "id": 259, "operator_tex": "3^{2} \\theta^4-3 x\\left(106\\theta^4+146\\theta^3+115\\theta^2+42\\theta+6\\right)-x^{2}\\left(4511\\theta^4+24314\\theta^3+37829\\theta^2+23598\\theta+5286\\right)+2^{2} x^{3}\\left(10457\\theta^4+32184\\theta^3+24449\\theta^2+3627\\theta-1317\\right)-2^{2} 11 x^{4}\\left(1596\\theta^4+2040\\theta^3-101\\theta^2-1085\\theta-386\\right)-2^{4} 11^{2} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "7/3 148", "discriminant": "5 9 -318 -4511 41828 -70224 -30976", "aesz": "248", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "0c9ccff1cb4f5096e455a9026799ed5a", "dim_h": "15", "inst": " 7/3 551/24 148 8241/4 86854/3 3122483/6 9677518 1187963639/6 12624388525/3 1126077833419/12", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(16z^2+44z-1)(-3+11z)^2", "discr_factors": "-30976, z+1/16, (-3/11+z)^2, z^2+11/4*z-1/16", "dm_basis": null, "q": "0 1 -6 -89 116 -1681 -75674 -1706035 -35395000 -846481600", "yuk": "1 7/3 186 11995/3 132042 3618919 112413570 9958166029/3 304119087710/3 9203179246720/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/8-5/8*5^(1/2)","im":"0","approx_re":"-2.772542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/8+5/8*5^(1/2)","im":"0","approx_re":"0.022542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/11","im":"0","approx_re":"0.272727272727","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -720*X^4-1680*X^3-1440*X^2-600*X-100, -2896*X^4-4288*X^3-1136*X^2+1120*X+560, 256*(X+1)*(37*X^3+248*X^2+375*X+165), 39936*X^4+202752*X^3+338944*X^2+237568*X+60416, 32768*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to\nOperator AESZ 71/5.11\n\nA-Incarnation: (2,0),(02),(1,1),(1,1),(1,1) intersection in $P^4 \\times P^4$", "degz": 5, "h3": "80", "sol": "1 4 44 688 13036 275504 6254576 149329856 3701367532 94438711984", "n_discr_factors": "4", "c3": "-88", "operator": "4 5 0 0 0 0 25 -100 -600 -1440 -1680 -720 560 1120 -1136 -4288 -2896 42240 138240 159488 72960 9472 60416 237568 338944 202752 39936 32768 131072 196608 131072 32768", "new_number": "5.4", "id": 260, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(36\\theta^4+84\\theta^3+72\\theta^2+30\\theta+5\\right)-2^{4} x^{2}\\left(181\\theta^4+268\\theta^3+71\\theta^2-70\\theta-35\\right)+2^{8} x^{3}(\\theta+1)(37\\theta^3+248\\theta^2+375\\theta+165)+2^{10} x^{4}\\left(39\\theta^4+198\\theta^3+331\\theta^2+232\\theta+59\\right)+2^{15} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "8/5 152/5", "discriminant": "5 25 -720 -2896 9472 39936 32768", "aesz": "21", "n_sing_complex": "0", "inst_int": "", "c2h": "104", "hash": "42a2bc0f0ee2a405ede956176c95721f", "dim_h": "22", "inst": " 8/5 57/10 152/5 253 11552/5 251603/10 294136 37079957/10 245240208/5 3383879274/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(4z+1)(32z-1)(4z-1)(8z+5)^2", "discr_factors": "32768, z-1/32, z-1/4, (z+5/8)^2, z+1/4", "dm_basis": null, "q": "0 1 -8 14 -32 -719 -2480 -75638 -856192 -13365820", "yuk": "1 8/5 236/5 4112/5 81196/5 1444008/5 27177464/5 504443248/5 9492550188/5 178780115744/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/8","im":"0","approx_re":"-0.625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 2960*X^4+7840*X^3+6820*X^2+2900*X+500, 65536*X^4+514048*X^3+912256*X^2+606720*X+146800, -1703936*X^4-1966080*X^3+9461760*X^2+12779520*X+4348160, -16777216*X^4-159383552*X^3-299368448*X^2-211812352*X-52002816, 1048576*(4*X+5)^2*(4*X+3)^2]", "text": "This is operator \"5.50\" from ...", "degz": 5, "h3": null, "sol": "1 -20 684 -28496 1317100 -64879920 3335900400 -176877737280 9598031287020 -530304938966000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 500 2900 6820 7840 2960 146800 606720 912256 514048 65536 4348160 12779520 9461760 -1966080 -1703936 -52002816 -211812352 -299368448 -159383552 -16777216 235929600 1006632960 1577058304 1073741824 268435456", "new_number": "5.50", "id": 261, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(148\\theta^4+392\\theta^3+341\\theta^2+145\\theta+25\\right)+2^{4} x^{2}\\left(4096\\theta^4+32128\\theta^3+57016\\theta^2+37920\\theta+9175\\right)-2^{8} x^{3}\\left(6656\\theta^4+7680\\theta^3-36960\\theta^2-49920\\theta-16985\\right)-2^{15} x^{4}\\left(512\\theta^4+4864\\theta^3+9136\\theta^2+6464\\theta+1587\\right)+2^{20} x^{5}(4\\theta+5)^2(4\\theta+3)^2", "superseek": "-44/5 -596", "discriminant": "5 25 2960 65536 -1703936 -16777216 268435456", "aesz": "249", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "85592af20bbb190e37428e945664c2f3", "dim_h": null, "inst": " -44/5 -277/5 -596 -7236 -502128/5 -7562487/5 -122037828/5 -2070073956/5 -36496996024/5 -662519510308/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+16z)(64z+1)^2(64z-5)^2", "discr_factors": "268435456, (z+1/64)^2, 1/16+z, (z-5/64)^2", "dm_basis": null, "q": "0 1 36 1062 29328 785409 20599320 531771570 13558154304 342274846740", "yuk": "1 -44/5 -452 -80504/5 -463556 -62766044/5 -1633579912/5 -41858975048/5 -1059880183252/5 -5321262036400", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"5/64","im":"0","approx_re":"0.078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","3/4","5/4","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[529*X^4, -75233*X^4-116794*X^3-89608*X^2-31211*X-4232, 1357863*X^4+999924*X^3-787393*X^2-850862*X-205712, -6206392*X^4+2179848*X^3+1750568*X^2-1413672*X-801872, -980880*X^4+15278304*X^3+35445392*X^2+27267488*X+7128704, -1905152*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.51\" from ...", "degz": 5, "h3": "23", "sol": "1 8 324 19304 1388260 111469008 9620458344 873705161232 82410223605732 8003897628341120", "n_discr_factors": "2", "c3": "-74", "operator": "4 5 0 0 0 0 529 -4232 -31211 -89608 -116794 -75233 -205712 -850862 -787393 999924 1357863 -801872 -1413672 1750568 2179848 -6206392 7128704 27267488 35445392 15278304 -980880 -28577280 -118119424 -180989440 -121929728 -30482432", "new_number": "5.51", "id": 262, "operator_tex": "23^{2} \\theta^4-23 x\\left(3271\\theta^4+5078\\theta^3+3896\\theta^2+1357\\theta+184\\right)+x^{2}\\left(1357863\\theta^4+999924\\theta^3-787393\\theta^2-850862\\theta-205712\\right)-2^{3} x^{3}\\left(775799\\theta^4-272481\\theta^3-218821\\theta^2+176709\\theta+100234\\right)-2^{4} 61 x^{4}\\left(1005\\theta^4-15654\\theta^3-36317\\theta^2-27938\\theta-7304\\right)-2^{9} 61^{2} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "308/23 70799/23", "discriminant": "5 529 -75233 1357863 -6206392 -980880 -30482432", "aesz": "250", "n_sing_complex": "2", "inst_int": "", "c2h": "62", "hash": "9c19794a84073d1c6dfd11c8a7c9a740", "dim_h": "9", "inst": " 308/23 3526/23 70799/23 2148684/23 81402822/23 3517706942/23 166755728017/23 8463817366930/23 452628943972573/23 25225062363800138/23", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(512z^3+113z^2+121z-1)(-23+244z)^2", "discr_factors": "-30482432, (-23/244+z)^2, z^3+113/512*z^2+121/512*z-1/512", "dm_basis": null, "q": "0 1 -27 31 -1565 -122872 -6002087 -316779981 -17953605095 -1060383625879", "yuk": "1 308/23 28516/23 1911881/23 137544292/23 10175353058/23 759826639561/23 57197214710139/23 4333474629412452/23 329966500157917598/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3072*(33598639+5035776*249^(1/2))^(1/3)+173087/3072/(33598639+5035776*249^(1/2))^(1/3)-113/1536","im":"-1/2*3^(1/2)*(1/1536*(33598639+5035776*249^(1/2))^(1/3)+173087/1536/(33598639+5035776*249^(1/2))^(1/3))","approx_re":"-0.114451","approx_im":"-0.474453","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072*(33598639+5035776*249^(1/2))^(1/3)+173087/3072/(33598639+5035776*249^(1/2))^(1/3)-113/1536","im":"1/2*3^(1/2)*(1/1536*(33598639+5035776*249^(1/2))^(1/3)+173087/1536/(33598639+5035776*249^(1/2))^(1/3))","approx_re":"-0.114451","approx_im":"0.474453","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(33598639+5035776*249^(1/2))^(1/3)-173087/1536/(33598639+5035776*249^(1/2))^(1/3)-113/1536","im":"0","approx_re":"0.008199","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"23/244","im":"0","approx_re":"0.094262295082","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -720*X^4+12720*X^3+9760*X^2+3400*X+500, -340816*X^4-434368*X^3+1390224*X^2+1009760*X+239600, 5000960*X^4-75344640*X^3-32364800*X^2+13923840*X+9153280, 663428096*X^4-1805109248*X^3-5426021376*X^2-4251594752*X-1072927744, 342196224*(4*X+5)*(3*X+2)*(3*X+4)*(4*X+3)]", "text": "This is operator \"5.52\" from ...", "degz": 5, "h3": null, "sol": "1 -20 684 -32240 1969900 -140379120 10801148400 -869448127680 72451088433900 -6214905203078000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 500 3400 9760 12720 -720 239600 1009760 1390224 -434368 -340816 9153280 13923840 -32364800 -75344640 5000960 -1072927744 -4251594752 -5426021376 -1805109248 663428096 41063546880 179995213824 287102631936 197105025024 49276256256", "new_number": "5.52", "id": 263, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(36\\theta^4-636\\theta^3-488\\theta^2-170\\theta-25\\right)-2^{4} x^{2}\\left(21301\\theta^4+27148\\theta^3-86889\\theta^2-63110\\theta-14975\\right)+2^{8} 5 x^{3}\\left(3907\\theta^4-58863\\theta^3-25285\\theta^2+10878\\theta+7151\\right)+2^{10} 59 x^{4}\\left(10981\\theta^4-29878\\theta^3-89811\\theta^2-70372\\theta-17759\\right)+2^{15} 3 59^{2} x^{5}(4\\theta+5)(3\\theta+2)(3\\theta+4)(4\\theta+3)", "superseek": "-232/5 -122168/5", "discriminant": "5 25 -720 -340816 5000960 663428096 49276256256", "aesz": "252", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cae57e93a6afb98313f62899d1f75e2e", "dim_h": null, "inst": " -232/5 -7499/10 -122168/5 -4503443/5 -200467616/5 -19296162041/10 -502767574136/5 -54775768970643/10 -310784583462160 -90689567211431134/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(108z+1)(2048z^2+52z+1)(-5+472z)^2", "discr_factors": "49276256256, z^2+13/512*z+1/2048, z+1/108, (-5/472+z)^2", "dm_basis": null, "q": "0 1 56 3214 201824 12937265 844771024 55869094922 3739124425088 252649090928836", "yuk": "1 -232/5 -30228/5 -3298768/5 -57650116 -25058452232/5 -2083988829192/5 -34489855585776 -14022597144735188/5 -1132809806722871968/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/1024","im":"-7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"-0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/1024","im":"7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"5/472","im":"0","approx_re":"0.010593220339","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","3/4","5/4","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 400000*X^4-175000*X^3-81250*X^2+6250*X+2380, 132250000+3656250000*X+23195312500*X^2-22812500000*X^3+52187500000*X^4, 75714062500000+488964843750000*X+1298437500000000*X^2+1417968750000000*X^3+2445312500000000*X^4, 15869140625000000*(625*X^2+745*X+351)*(2*X+1)^2, 12893676757812500000000*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.53\" from ...", "degz": 5, "h3": null, "sol": "1 -2380 14400900 -112575082000 993749164922500 -9419730968893124880 93572929781844389276400 -960906214100015131981032000 10115066742494809792620946522500 -108540643022808782847792521340550000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 2380 6250 -81250 -175000 400000 132250000 3656250000 23195312500 -22812500000 52187500000 75714062500000 488964843750000 1298437500000000 1417968750000000 2445312500000000 5570068359375000000 34102783203125000000 79488525390625000000 86962890625000000000 39672851562500000000 116043090820312500000000 618896484375000000000000 1134643554687500000000000 825195312500000000000000 206298828125000000000000", "new_number": "5.53", "id": 264, "operator_tex": "\\theta^4+2 5 x\\left(40000\\theta^4-17500\\theta^3-8125\\theta^2+625\\theta+238\\right)+2^{2} 5^{6} x^{2}\\left(835000\\theta^4-365000\\theta^3+371125\\theta^2+58500\\theta+2116\\right)+2^{4} 5^{11} x^{3}\\left(3130000\\theta^4+1815000\\theta^3+1662000\\theta^2+625875\\theta+96914\\right)+2^{6} 5^{19} 13 x^{4}(625\\theta^2+745\\theta+351)(2\\theta+1)^2+2^{8} 5^{25} 13^{2} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "82450 22323908689400", "discriminant": "5 1 400000 52187500000 2445312500000000 39672851562500000000 206298828125000000000000", "aesz": "259", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8b20756bb52131d41c44fd699c9e3a24", "dim_h": null, "inst": " 82450 -976323150 22323908689400 -680892969306394000 24398212781075814030620 -969087214048020502240150600 41345463913873717505343882068100 -1859177372549309922974233232512790000 87035939102401694693524574291673273771250 -4206265451231182857338162131228756421329264740", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+50000z)(12500z+1)^2(162500z+1)^2", "discr_factors": "206298828125000000000000, 1/50000+z, (z+1/162500)^2, (z+1/12500)^2", "dm_basis": null, "q": "0 1 -3270 160052775 -5961922685500 254841611325031875 -11745037486481708090154 570167877292161056523362785 -28740506727082296147519350275800 1490544150422301997678486922128986750", "yuk": "1 82450 -7810502750 602745534696250 -43577150043419718750 3049776597634476753909950 -209322838234371825746148418550 14181494122458685104332951549440750 -951898814745246680606384565089968198750 63449199605650835431579414659232562113937500", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12500","im":"0","approx_re":"-8e-05","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/50000","im":"0","approx_re":"-2e-05","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/162500","im":"0","approx_re":"-6.15384615385e-06","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 11920*X^4+10880*X^3+7940*X^2+2500*X+300, 1442304*X^4+709632*X^3-638976*X^2-525120*X-101520, 44015616*X^4-46448640*X^3-62567424*X^2-28200960*X-4527360, -2985984*(2*X+1)^2*(76*X^2+196*X+139), -1289945088*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.54\" from ...", "degz": 5, "h3": null, "sol": "1 -12 1260 -188400 34353900 -7001506512 1534951790064 -354249360653760 84935226474341100 -20972495427496813200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 300 2500 7940 10880 11920 -101520 -525120 -638976 709632 1442304 -4527360 -28200960 -62567424 -46448640 44015616 -415051776 -2245459968 -4228153344 -3248750592 -907739136 -11609505792 -61917364224 -113515167744 -82556485632 -20639121408", "new_number": "5.54", "id": 265, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(596\\theta^4+544\\theta^3+397\\theta^2+125\\theta+15\\right)+2^{4} 3 x^{2}\\left(30048\\theta^4+14784\\theta^3-13312\\theta^2-10940\\theta-2115\\right)+2^{8} 3^{3} x^{3}\\left(6368\\theta^4-6720\\theta^3-9052\\theta^2-4080\\theta-655\\right)-2^{12} 3^{6} x^{4}(2\\theta+1)^2(76\\theta^2+196\\theta+139)-2^{16} 3^{9} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "-188/5 -450516/5", "discriminant": "5 25 11920 1442304 44015616 -907739136 -20639121408", "aesz": "260\n", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "03ff8e2e94b897c3891e6981e7fb4ec9", "dim_h": null, "inst": " -188/5 7693/5 -450516/5 37785946/5 -790482672 477405507903/5 -63469802544116/5 9043012469852634/5 -1358060663800759128/5 42517080906522247284", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(6912z^2-288z-1)(5+432z)^2", "discr_factors": "-20639121408, z+1/16, z^2-1/24*z-1/6912, (5/432+z)^2", "dm_basis": null, "q": "0 1 52 -1434 68048 -9335935 1310920056 -197169539470 31225147414848 -5156649487420524", "yuk": "1 -188/5 61356/5 -2432824 483672380 -494051670188/5 103119577604472/5 -21770142272631976/5 4630022386982910508/5 -990026223910765568432/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/432","im":"0","approx_re":"-0.0115740740741","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48-1/72*3^(1/2)","im":"0","approx_re":"-0.003223","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48+1/72*3^(1/2)","im":"0","approx_re":"0.04489","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 5840*X^4+7360*X^3+5780*X^2+2100*X+300, 395776*X^4+698368*X^3+622976*X^2+303680*X+59760, 11575296*X^4+26542080*X^3+29159424*X^2+15344640*X+3018240, 331776*(2*X+1)*(232*X^3+588*X^2+590*X+207), 191102976*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.55\" from ...", "degz": 5, "h3": null, "sol": "1 -12 492 -32880 2743020 -257986512 26170078704 -2797796574144 310918611526380 -35596887110962320", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 300 2100 5780 7360 5840 59760 303680 622976 698368 395776 3018240 15344640 29159424 26542080 11575296 68677632 333103104 586579968 467140608 153944064 573308928 2675441664 4395368448 3057647616 764411904", "new_number": "5.55", "id": 266, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(292\\theta^4+368\\theta^3+289\\theta^2+105\\theta+15\\right)+2^{4} x^{2}\\left(24736\\theta^4+43648\\theta^3+38936\\theta^2+18980\\theta+3735\\right)+2^{9} 3^{2} x^{3}\\left(2512\\theta^4+5760\\theta^3+6328\\theta^2+3330\\theta+655\\right)+2^{12} 3^{4} x^{4}(2\\theta+1)(232\\theta^3+588\\theta^2+590\\theta+207)+2^{18} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-76/5 -24836/5", "discriminant": "5 25 5840 395776 11575296 153944064 764411904", "aesz": "261", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "adadb5e720011482371f48cfa73dab99", "dim_h": null, "inst": " -76/5 1103/5 -24836/5 847456/5 -36542448/5 1806132437/5 -97926149796/5 5684771847792/5 -69550113320856 22170307605956652/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+144z)(16z+1)^2(144z+5)^2", "discr_factors": "764411904, (z+1/16)^2, (z+5/144)^2, 1/144+z", "dm_basis": null, "q": "0 1 36 422 11664 -77567 12260376 -650003662 43465220160 -2919137690348", "yuk": "1 -76/5 8748/5 -670648/5 54245932/5 -4567806076/5 390123944568/5 -33588669380104/5 2910603240315436/5 -253510163055190768/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-5/144","im":"0","approx_re":"-0.0347222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"0","approx_re":"-0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 2720*X^4+4480*X^3+3940*X^2+1700*X+300, 89344*X^4+259072*X^3+350784*X^2+236800*X+63280, 1245184*X^4+4669440*X^3+7458816*X^2+5621760*X+1597440, 7602176*X^4+30932992*X^3+48431104*X^2+32964608*X+8208384, 16777216*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to the Operator AESZ 263/5.57", "degz": 5, "h3": null, "sol": "1 -12 236 -6384 217836 -8674512 381058544 -17846749632 873802015468 -44205033911952", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 300 1700 3940 4480 2720 63280 236800 350784 259072 89344 1597440 5621760 7458816 4669440 1245184 8208384 32964608 48431104 30932992 7602176 16777216 67108864 100663296 67108864 16777216", "new_number": "5.56", "id": 267, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(136\\theta^4+224\\theta^3+197\\theta^2+85\\theta+15\\right)+2^{4} x^{2}\\left(5584\\theta^4+16192\\theta^3+21924\\theta^2+14800\\theta+3955\\right)+2^{11} x^{3}\\left(608\\theta^4+2280\\theta^3+3642\\theta^2+2745\\theta+780\\right)+2^{14} x^{4}\\left(464\\theta^4+1888\\theta^3+2956\\theta^2+2012\\theta+501\\right)+2^{24} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-28/5 -1268/5", "discriminant": "5 25 2720 89344 1245184 7602176 16777216", "aesz": "262", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4899f97226a5ec3b1ded2994470e9fdc", "dim_h": null, "inst": " -28/5 153/5 -1268/5 18598/5 -320048/5 6328003/5 -137296404/5 3185758982/5 -77892222744/5 1984455155124/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+64z)(32z+5)^2(16z+1)^2", "discr_factors": "16777216, (z+1/16)^2, 1/64+z, (z+5/32)^2", "dm_basis": null, "q": "0 1 20 230 2896 22145 310968 -432142 67997504 -1435072876", "yuk": "1 -28/5 1196/5 -34264/5 1191468/5 -40006028/5 1366815608/5 -9418533320 1631109790252/5 -11356686082928", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/32","im":"0","approx_re":"-0.15625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 7424*X^4-512*X^3+1216*X^2+1472*X+336, 19922944*X^4+4980736*X^3+14745600*X^2+4292608*X+163840, 23420993536*X^4+25769803776*X^3+28739371008*X^2+11777605632*X+1975517184, 11682311045120*X^4+27487790694400*X^3+29291676958720*X^2+15547781611520*X+3350074490880, 1759218604441600*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 262/5.56", "degz": 5, "h3": null, "sol": "1 -336 198416 -142318848 112152177936 -93351842555136 80529573836308736 -71239576786325262336 64211432766884647771408 -58719439168904679249536256", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 336 1472 1216 -512 7424 163840 4292608 14745600 4980736 19922944 1975517184 11777605632 28739371008 25769803776 23420993536 3350074490880 15547781611520 29291676958720 27487790694400 11682311045120 1759218604441600 7036874417766400 10555311626649600 7036874417766400 1759218604441600", "new_number": "5.57", "id": 268, "operator_tex": "\\theta^4+2^{4} x\\left(464\\theta^4-32\\theta^3+76\\theta^2+92\\theta+21\\right)+2^{15} x^{2}\\left(608\\theta^4+152\\theta^3+450\\theta^2+131\\theta+5\\right)+2^{22} x^{3}\\left(5584\\theta^4+6144\\theta^3+6852\\theta^2+2808\\theta+471\\right)+2^{34} 5 x^{4}\\left(136\\theta^4+320\\theta^3+341\\theta^2+181\\theta+39\\right)+2^{46} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "1312 58156704", "discriminant": "5 1 7424 19922944 23420993536 11682311045120 1759218604441600", "aesz": "263", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2157fe92de97f7b684b3cbd7b8bdf280", "dim_h": null, "inst": " 1312 -211968 58156704 -19819112104 7519377878624 -3012318999683072 1232376137934942240 -500667031433854121000 195372771916305547947776 -69064326912662753956586496", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+256z)(1024z+1)^2(2560z+1)^2", "discr_factors": "1759218604441600, (z+1/2560)^2, (z+1/1024)^2, 1/256+z", "dm_basis": null, "q": "0 1 128 -20128 10958848 -5555650000 2838355329024 -1438773593984512 715220103942373376 -343517369577114490216", "yuk": "1 1312 -1694432 1570232320 -1268424869088 939922234829312 -650660902363006976 422705015311685189632 -256341520095401734821088 142426750726986746024161024", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1024","im":"0","approx_re":"-0.0009765625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2560","im":"0","approx_re":"-0.000390625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -405*X^4-1620*X^3-1860*X^2-1050*X-225, -24786*X^4-81648*X^3-117126*X^2-80190*X-21960, 275562*X^4+2361960*X^3+5629338*X^2+5183190*X+1674270, 4782969*X^4+25509168*X^3+43341966*X^2+30587382*X+7768224, 14348907*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to\nOperator AESZ 267/5.59", "degz": 5, "h3": null, "sol": "1 9 171 3087 69579 1469259 35132301 794840769 19583956683 460583978931", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -225 -1050 -1860 -1620 -405 -21960 -80190 -117126 -81648 -24786 1674270 5183190 5629338 2361960 275562 7768224 30587382 43341966 25509168 4782969 14348907 57395628 86093442 57395628 14348907", "new_number": "5.58", "id": 269, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(27\\theta^4+108\\theta^3+124\\theta^2+70\\theta+15\\right)-2 3^{2} x^{2}\\left(1377\\theta^4+4536\\theta^3+6507\\theta^2+4455\\theta+1220\\right)+2 3^{5} x^{3}\\left(567\\theta^4+4860\\theta^3+11583\\theta^2+10665\\theta+3445\\right)+3^{8} x^{4}\\left(729\\theta^4+3888\\theta^3+6606\\theta^2+4662\\theta+1184\\right)+3^{15} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-18/5 -642/5", "discriminant": "5 25 -405 -24786 275562 4782969 14348907", "aesz": "266\n", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5d46913a13c5fa5fa6a547d8b5646133", "dim_h": null, "inst": " -18/5 117/10 -642/5 1197 -76788/5 2203593/10 -17643978/5 303594291/5 -1101609276 104184958419/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+27z)(27z+5)^2(27z-1)^2", "discr_factors": "14348907, (z-1/27)^2, 1/27+z, (z+5/27)^2", "dm_basis": null, "q": "0 1 -6 -81 1510 -10263 44064 -698494 20872590 -484387938", "yuk": "1 -18/5 90 -17352/5 76698 -9598518/5 47594232 -6051884472/5 155440660482/5 -4015365828372/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/27","im":"0","approx_re":"-0.185185185185","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 6561*X^4-8748*X^3-6156*X^2-1782*X-279, 7440174*X^4-34012224*X^3+5314410*X^2+2480058*X+918540, -13172296626*X^4-9298091736*X^3-11106054018*X^2-4390765542*X-1080950994, -4236443047215*X^4+5962401325710*X^2+5962401325710*X+1882863576540, 5147278302366225*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to\nOperator AESZ 266/5.58", "degz": 5, "h3": null, "sol": "1 279 124011 64869777 36848978379 21998516212629 13576417815818061 8580116213203618719 5520066684174606599883 3600982100772644288927661", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -279 -1782 -6156 -8748 6561 918540 2480058 5314410 -34012224 7440174 -1080950994 -4390765542 -11106054018 -9298091736 -13172296626 1882863576540 5962401325710 5962401325710 0 -4236443047215 5147278302366225 20589113209464900 30883669814197350 20589113209464900 5147278302366225", "new_number": "5.59", "id": 270, "operator_tex": "\\theta^4+3^{2} x\\left(729\\theta^4-972\\theta^3-684\\theta^2-198\\theta-31\\right)+2 3^{8} x^{2}\\left(567\\theta^4-2592\\theta^3+405\\theta^2+189\\theta+70\\right)-2 3^{14} x^{3}\\left(1377\\theta^4+972\\theta^3+1161\\theta^2+459\\theta+113\\right)-3^{22} 5 x^{4}\\left(27\\theta^4-38\\theta^2-38\\theta-12\\right)+3^{30} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "1818 467810538", "discriminant": "5 1 6561 7440174 -13172296626 -4236443047215 5147278302366225", "aesz": "267", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "924287a9ba8517571071ec73d860af7e", "dim_h": null, "inst": " 1818 -681336 467810538 -422903176767 446062311232740 -519402409798743174 647892884549133772434 -850164640719377212142649 1159772332620656681302786044 -1631505517025864921717367507570", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+729z)(3645z+1)^2(729z-1)^2", "discr_factors": "5147278302366225, 1/729+z, (z+1/3645)^2, (z-1/729)^2", "dm_basis": null, "q": "0 1 -666 575343 -616165062 752261852457 -996972190760160 1396191940153465410 -2033717234011998737454 3050702206815313433430558", "yuk": "1 1818 -5448870 12630886344 -27065808761958 55757788904094318 -112190920503903089928 222227259400352883946680 -435284296048348198425798246 845474030480458720682361912420", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/729","im":"0","approx_re":"-0.00137174211248","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3645","im":"0","approx_re":"-0.000274348422497","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/729","im":"0","approx_re":"0.00137174211248","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -1085*X^4-2002*X^3-1638*X^2-637*X-98, -16105*X^4-68044*X^3-102261*X^2-66094*X-15736, 21000*X^4+68712*X^3+72568*X^2+30072*X+3808, -7440*X^4-20256*X^3-23024*X^2-12896*X-2944, 512*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding to Operator AESZ 118/5.16\nA-Incarnation: five (1,1) sections in ${\\bf P}^4 \\times {\\bf P}^4$.Quotient by ${\\bf Z}/2$ of this: \nthe Reye congruence Calabi-Yau threefold.", "degz": 5, "h3": "140", "sol": "1 2 34 488 9826 206252 4734304 113245568 2816649826 72001228052", "n_discr_factors": "3", "c3": "-200", "operator": "4 5 0 0 0 0 49 -98 -637 -1638 -2002 -1085 -15736 -66094 -102261 -68044 -16105 3808 30072 72568 68712 21000 -2944 -12896 -23024 -20256 -7440 512 2048 3072 2048 512", "new_number": "5.5", "id": 271, "operator_tex": "7^{2} \\theta^4-7 x\\left(155\\theta^4+286\\theta^3+234\\theta^2+91\\theta+14\\right)-x^{2}\\left(16105\\theta^4+68044\\theta^3+102261\\theta^2+66094\\theta+15736\\right)+2^{3} x^{3}\\left(2625\\theta^4+8589\\theta^3+9071\\theta^2+3759\\theta+476\\right)-2^{4} x^{4}\\left(465\\theta^4+1266\\theta^3+1439\\theta^2+806\\theta+184\\right)+2^{9} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "10/7 295/7", "discriminant": "5 49 -1085 -16105 21000 -7440 512", "aesz": "22", "n_sing_complex": "0", "inst_int": "", "c2h": "-40", "hash": "5b96eae0872756be1130d4b12ffe60a6", "dim_h": "20", "inst": " 10/7 65/7 295/7 3065/7 4245 377115/7 694590 69723305/7 1031662155/7 2296011250", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(32z-1)(z^2-11z-1)(4z-7)^2", "discr_factors": "512, z-1/32, (z-7/4)^2, z^2-11*z-1", "dm_basis": null, "q": "0 1 -5 -40 115 -645 -12846 -177350 -2574585 -44198680", "yuk": "1 10/7 530/7 7975/7 196690/7 3714385/7 11637905 1667710600/7 35698528850/7 752081718970/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"11/2-5/2*5^(1/2)","im":"0","approx_re":"-0.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/4","im":"0","approx_re":"1.75","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2+5/2*5^(1/2)","im":"0","approx_re":"11.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -6300-26700*X-39660*X^2-25920*X^3-6480*X^4, -8358480-26827200*X-34416576*X^2-20901888*X^3-6345216*X^4, 6714109440+20524907520*X+22513572864*X^2+9674588160*X^3+1128701952*X^4, 501439279104+1984258031616*X+2820142448640*X^2+1671768834048*X^3+313456656384*X^4, 15045919506432*(X+1)^4]", "text": "There is a second MUM-point at infinity, correspondint to\nOperator AESZ 269/5.61", "degz": 5, "h3": null, "sol": "1 252 87084 31502448 12121584876 4712866852752 1882522128613104 754669010404306368 307249546738094748396 125267668677349183660752", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -6300 -26700 -39660 -25920 -6480 -8358480 -26827200 -34416576 -20901888 -6345216 6714109440 20524907520 22513572864 9674588160 1128701952 501439279104 1984258031616 2820142448640 1671768834048 313456656384 15045919506432 60183678025728 90275517038592 60183678025728 15045919506432", "new_number": "5.60", "id": 272, "operator_tex": "5^{2} \\theta^4-2^{2} 3 5 x\\left(108\\theta^4+432\\theta^3+661\\theta^2+445\\theta+105\\right)-2^{4} 3^{2} x^{2}\\left(44064\\theta^4+145152\\theta^3+239004\\theta^2+186300\\theta+58045\\right)+2^{9} 3^{5} x^{3}\\left(9072\\theta^4+77760\\theta^3+180954\\theta^2+164970\\theta+53965\\right)+2^{12} 3^{8} x^{4}\\left(11664\\theta^4+62208\\theta^3+104940\\theta^2+73836\\theta+18659\\right)+2^{20} 3^{15} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-828/5 -4270932/5", "discriminant": "5 25 -6480 -6345216 1128701952 313456656384 15045919506432", "aesz": "268", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "638e2881183378c7a47b7508d9acc072", "dim_h": null, "inst": " -828/5 25533/5 -4270932/5 598304142/5 -24767201520 5516686677699 -6905915218789236/5 1839719752683668766/5 -517693573962167020632/5 30345720052057395286068", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+432z)(432z+5)^2(432z-1)^2", "discr_factors": "15045919506432, (z+5/432)^2, (z-1/432)^2, 1/432+z", "dm_basis": null, "q": "0 1 -60 -20250 2749840 -229230975 49927836888 -15561414895630 4667881532942400 -1428189403919231340", "yuk": "1 -828/5 203436/5 -115315992/5 38291668524/5 -15479500950828/5 5958021496803192/5 -2368728920044708776/5 941936513412330076716/5 -75479723083683974671344", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/432","im":"0","approx_re":"-0.0115740740741","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/432","im":"0","approx_re":"-0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -112464-565056*X-1684800*X^2-2239488*X^3+1679616*X^4, 67775864832-2902376448*X+113192681472*X^2-2229025112064*X^3+487599243264*X^4, -48452876117213184-163037583771697152*X-340699801303646208*X^2-155996093442686976*X^3-220994465710473216*X^4, 505427342754305802240-2190185151935325143040*X-2190185151935325143040*X^2-18195384339155008880640*X^4, 5659492344850773962234265600*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 268/5.60", "degz": 5, "h3": null, "sol": "1 112464 16304096016 2572332025515264 423329707157060783376 71449611307953723990238464 12263730529723761243479626711296 2130368461612459022498783244821581824 373413841262786707002896614274115279822096 65911327617588382602056644419982035975857374464", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -112464 -565056 -1684800 -2239488 1679616 67775864832 -2902376448 113192681472 -2229025112064 487599243264 -48452876117213184 -163037583771697152 -340699801303646208 -155996093442686976 -220994465710473216 505427342754305802240 -2190185151935325143040 -2190185151935325143040 0 -18195384339155008880640 5659492344850773962234265600 22637969379403095848937062400 33956954069104643773405593600 22637969379403095848937062400 5659492344850773962234265600", "new_number": "5.61", "id": 273, "operator_tex": "\\theta^4+2^{4} 3^{2} x\\left(11664\\theta^4-15552\\theta^3-11700\\theta^2-3924\\theta-781\\right)+2^{13} 3^{8} x^{2}\\left(9072\\theta^4-41472\\theta^3+2106\\theta^2-54\\theta+1261\\right)-2^{20} 3^{14} x^{3}\\left(44064\\theta^4+31104\\theta^3+67932\\theta^2+32508\\theta+9661\\right)-2^{30} 3^{22} 5 x^{4}\\left(108\\theta^4+13\\theta^2+13\\theta-3\\right)+2^{40} 3^{30} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "549216 5134247872650720", "discriminant": "5 1 1679616 487599243264 -220994465710473216 -18195384339155008880640 5659492344850773962234265600", "aesz": "269", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f6285c6dd849b8edc6913a248c74c2ac", "dim_h": null, "inst": " 549216 -39437661960 5134247872650720 -893529522332436373560 182442495912657901797814560 -41262812389744861577153158690920 10019116026820060769801991618641662560 -2563084582322256940199919288251046522481080 682423086469588020265348285068230145316728864000 -187526681844608918990817759123005226960876251407732440", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+186624z)(933120z+1)^2(186624z-1)^2", "discr_factors": "5659492344850773962234265600, (z-1/186624)^2, 1/186624+z, (z+1/933120)^2", "dm_basis": null, "q": "0 1 -115200 16592726880 -3236585370777600 744468775927259638320 -188590932068932155933757440 50864734112229617807411676172800 -14333826376721778264506293828143022080 4172214184513021365268279600028021795343000", "yuk": "1 549216 -315500746464 138624692562118656 -57185889429591428654304 22805311989082237724727369216 -8912767476184889962040705216415744 3436556797199280844042083125194090807296 -1312299306148995553382415861473965410938967264 497486430036329666773438899814739914560587903974656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/186624","im":"0","approx_re":"-5.35836762689e-06","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/933120","im":"0","approx_re":"-1.07167352538e-06","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/186624","im":"0","approx_re":"5.35836762689e-06","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -960*X^4-3840*X^3-5020*X^2-3100*X-700, -139264*X^4-458752*X^3-698624*X^2-508160*X-148240, 3670016*X^4+31457280*X^3+74235904*X^2+68075520*X+22108160, 150994944*X^4+805306368*X^3+1364197376*X^2+961544192*X+243728384, 1073741824*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 271/ 5.63", "degz": 5, "h3": null, "sol": "1 28 1324 63856 3489004 188608528 10840129264 615372248512 36295765586668 2117009706332752", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -700 -3100 -5020 -3840 -960 -148240 -508160 -698624 -458752 -139264 22108160 68075520 74235904 31457280 3670016 243728384 961544192 1364197376 805306368 150994944 1073741824 4294967296 6442450944 4294967296 1073741824", "new_number": "5.62", "id": 274, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(48\\theta^4+192\\theta^3+251\\theta^2+155\\theta+35\\right)-2^{4} x^{2}\\left(8704\\theta^4+28672\\theta^3+43664\\theta^2+31760\\theta+9265\\right)+2^{11} x^{3}\\left(1792\\theta^4+15360\\theta^3+36248\\theta^2+33240\\theta+10795\\right)+2^{16} x^{4}\\left(2304\\theta^4+12288\\theta^3+20816\\theta^2+14672\\theta+3719\\right)+2^{30} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-76/5 -2100", "discriminant": "5 25 -960 -139264 3670016 150994944 1073741824", "aesz": "270", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "256e3b3a92e3fd332be8b01f71853ea4", "dim_h": null, "inst": " -76/5 367/5 -2100 43436 -6582256/5 221180469/5 -1648544084 330479016412/5 -13945393057272/5 614000624977324/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+64z)(64z+5)^2(64z-1)^2", "discr_factors": "1073741824, 1/64+z, (z+5/64)^2, (z-1/64)^2", "dm_basis": null, "q": "0 1 -12 -474 15440 -185343 2784504 -152938830 8375024448 -401371946988", "yuk": "1 -76/5 572 -283576/5 2780476 -822782076/5 47774700664/5 -2827253104136/5 169205270305324/5 -10166191539034864/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/64","im":"0","approx_re":"-0.078125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","-1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 36864*X^4-49152*X^3-35584*X^2-11008*X-1936, 234881024*X^4-1073741824*X^3+120586240*X^2+45088768*X+30801920, -2336462209024*X^4-1649267441664*X^3-2649994821632*X^2-1172526071808*X-322390982656, -4222124650659840*X^4+3254554418216960*X^2+3254554418216960*X+1143492092887040, 28823037615171174400*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 270 /5.62", "degz": 5, "h3": null, "sol": "1 1936 5433616 17299986688 58672579116304 206669099292334336 746575590027267318016 2745949421061368330162176 10236991103358250791812996368 38566284406834450611369673402624", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -1936 -11008 -35584 -49152 36864 30801920 45088768 120586240 -1073741824 234881024 -322390982656 -1172526071808 -2649994821632 -1649267441664 -2336462209024 1143492092887040 3254554418216960 3254554418216960 0 -4222124650659840 28823037615171174400 115292150460684697600 172938225691027046400 115292150460684697600 28823037615171174400", "new_number": "5.63", "id": 275, "operator_tex": "\\theta^4+2^{4} x\\left(2304\\theta^4-3072\\theta^3-2224\\theta^2-688\\theta-121\\right)+2^{17} x^{2}\\left(1792\\theta^4-8192\\theta^3+920\\theta^2+344\\theta+235\\right)-2^{28} x^{3}\\left(8704\\theta^4+6144\\theta^3+9872\\theta^2+4368\\theta+1201\\right)-2^{44} 5 x^{4}\\left(48\\theta^4-37\\theta^2-37\\theta-13\\right)+2^{60} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "10912 71557619232", "discriminant": "5 1 36864 234881024 -2336462209024 -4222124650659840 28823037615171174400", "aesz": "271", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c20fda7ad02ecc06f9b3f74bf4327d05", "dim_h": null, "inst": " 10912 -20731504 71557619232 -326717237089712 1743820693922321120 -10286426285031347485104 65046725007339572898273696 -432911472352501135094316776368 2996380229369184777213698461434624 -21392301510610273389194136435773058000", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(1+4096z)(20480z+1)^2(4096z-1)^2", "discr_factors": "28823037615171174400, (z+1/20480)^2, (z-1/4096)^2, 1/4096+z", "dm_basis": null, "q": "0 1 -3264 13635168 -72297617408 442113725658672 -2950154620733945856 20858990544340177535488 -153651119276899169695825920 1166825950518608865433631799960", "yuk": "1 10912 -165841120 1932055730176 -20909903339582688 217977586740290150912 -2221868077564839166904320 22311026677517473504107888640 -221650673844480602078193529083104 2184361187210135702588788110441571072", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4096","im":"0","approx_re":"-0.000244140625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/20480","im":"0","approx_re":"-4.8828125e-05","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4096","im":"0","approx_re":"0.000244140625","approx_im":"0.0","exponents":["0","-1/4","1","5/4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -79920*X^4-211680*X^3-197340*X^2-91500*X-17100, 47775744*X^4+374740992*X^3+652800384*X^2+431516160*X+104315760, 33538572288*X^4+38698352640*X^3-188170739712*X^2-249389383680*X-81864794880, -8916100448256*X^4-84702954258432*X^3-158229824274432*X^2-109841404133376*X-25973259337728, -185752092672*(12*X+7)*(12*X+11)*(12*X+13)*(12*X+17)]", "text": "This is operator \"5.64\" from ...", "degz": 5, "h3": null, "sol": "1 684 761004 985011120 1373164693740 2000308394975184 2999737945992631536 4592165354561372296896 7138856745753215194714860 11230855067389469877341467920", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -17100 -91500 -197340 -211680 -79920 104315760 431516160 652800384 374740992 47775744 -81864794880 -249389383680 -188170739712 38698352640 33538572288 -25973259337728 -109841404133376 -158229824274432 -84702954258432 -8916100448256 -3160943360999424 -14016109904658432 -22415076526915584 -15407021574586368 -3851755393646592", "new_number": "5.64", "id": 276, "operator_tex": "5^{2} \\theta^4-2^{2} 3 5 x\\left(1332\\theta^4+3528\\theta^3+3289\\theta^2+1525\\theta+285\\right)+2^{4} 3^{2} x^{2}\\left(331776\\theta^4+2602368\\theta^3+4533336\\theta^2+2996640\\theta+724415\\right)+2^{8} 3^{5} x^{3}\\left(539136\\theta^4+622080\\theta^3-3024864\\theta^2-4008960\\theta-1315985\\right)-2^{15} 3^{8} x^{4}\\left(41472\\theta^4+393984\\theta^3+735984\\theta^2+510912\\theta+120811\\right)-2^{20} 3^{11} x^{5}(12\\theta+7)(12\\theta+11)(12\\theta+13)(12\\theta+17)", "superseek": "468/5 11885484", "discriminant": "5 25 -79920 47775744 33538572288 -8916100448256 -3851755393646592", "aesz": "272", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "467bb784f4bd6e978748e98f6ea4a573", "dim_h": null, "inst": " 468/5 -315477/5 11885484 -14354122356/5 808514230608 -1258871905551543/5 444331666288762812/5 -169531638476468437764/5 13514603472770718331560 -5523207855313637518334676", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+432z)(1728z+5)^2(1728z-1)^2", "discr_factors": "-3851755393646592, (z-1/1728)^2, -1/432+z, (z+5/1728)^2", "dm_basis": null, "q": "0 1 -924 669222 -445396592 285409255425 -178021670149224 108757332969381554 -65384540320368271296 38818215719959795717140", "yuk": "1 468/5 -2523348/5 1604540808/5 -918666354132/5 505321394130468/5 -271916329997116296/5 152405761537045644984/5 -17360039780174101297860 49260729658249269923077008/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/1728","im":"0","approx_re":"-0.00289351851852","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/6","1","7/6"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["7/12","11/12","13/12","17/12"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -4995*X^4-13230*X^3-11715*X^2-5100*X-900, 186624*X^4+1463832*X^3+2585844*X^2+1717200*X+415440, 8188128*X^4+9447840*X^3-45585828*X^2-61279740*X-20664720, -136048896*X^4-1292464512*X^3-2424315744*X^2-1707224688*X-415285056, -11337408*(3*X+2)*(3*X+4)*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.65\" from ...", "degz": 5, "h3": null, "sol": "1 36 2196 161280 13032900 1115973936 99328836096 9088750224576 849053816612100 80605604422371600", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -900 -5100 -11715 -13230 -4995 415440 1717200 2585844 1463832 186624 -20664720 -61279740 -45585828 9447840 8188128 -415285056 -1707224688 -2424315744 -1292464512 -136048896 -3174474240 -13672914048 -21529737792 -14693280768 -3673320192", "new_number": "5.65", "id": 277, "operator_tex": "5^{2} \\theta^4-3 5 x\\left(333\\theta^4+882\\theta^3+781\\theta^2+340\\theta+60\\right)+2^{2} 3^{2} x^{2}\\left(5184\\theta^4+40662\\theta^3+71829\\theta^2+47700\\theta+11540\\right)+2^{2} 3^{5} x^{3}\\left(8424\\theta^4+9720\\theta^3-46899\\theta^2-63045\\theta-21260\\right)-2^{4} 3^{8} x^{4}\\left(1296\\theta^4+12312\\theta^3+23094\\theta^2+16263\\theta+3956\\right)-2^{6} 3^{11} x^{5}(3\\theta+2)(3\\theta+4)(6\\theta+5)(6\\theta+7)", "superseek": "63/5 14016/5", "discriminant": "5 25 -4995 186624 8188128 -136048896 -3673320192", "aesz": "273", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cf49bc645cb0404ce7bc9ca1d41d3152", "dim_h": null, "inst": " 63/5 -747/4 14016/5 -55584 6071598/5 -29280858 3789513648/5 -103572330372/5 2946639866493/5 -172753730633619/10", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+27z)(108z+5)^2(108z-1)^2", "discr_factors": "-3673320192, (z+5/108)^2, (z-1/108)^2, -1/27+z", "dm_basis": null, "q": "0 1 -60 2916 -132140 5799354 -248943456 10506838262 -437619310824 18036699887331", "yuk": "1 63/5 -7407/5 75699 -17794287/5 758949813/5 -6324591123 1299803181327/5 -53029050944751/5 2148100463051892/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/108","im":"0","approx_re":"-0.0462962962963","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","5/6","7/6","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3785*X^4-6490*X^3-5245*X^2-2000*X-300, 196416*X^4+629928*X^3+796356*X^2+429840*X+84240, -4901472*X^4-22044960*X^3-36343404*X^2-23925780*X-5307120, 104976*(2*X+1)*(216*X^3+864*X^2+1015*X+356), -3779136*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.66\" from ...", "degz": 5, "h3": null, "sol": "1 12 324 12000 548100 28767312 1645769664 99394371648 6230457476100 401731786513200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -300 -2000 -5245 -6490 -3785 84240 429840 796356 629928 196416 -5307120 -23925780 -36343404 -22044960 -4901472 37371456 181293552 303800544 204073344 45349632 -90699264 -445938048 -767164608 -544195584 -136048896", "new_number": "5.66", "id": 278, "operator_tex": "5^{2} \\theta^4-5 x\\left(757\\theta^4+1298\\theta^3+1049\\theta^2+400\\theta+60\\right)+2^{2} 3^{2} x^{2}\\left(5456\\theta^4+17498\\theta^3+22121\\theta^2+11940\\theta+2340\\right)-2^{2} 3^{4} x^{3}\\left(15128\\theta^4+68040\\theta^3+112171\\theta^2+73845\\theta+16380\\right)+2^{4} 3^{8} x^{4}(2\\theta+1)(216\\theta^3+864\\theta^2+1015\\theta+356)-2^{6} 3^{10} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "49/5 6032/15", "discriminant": "5 25 -3785 196416 -4901472 45349632 -136048896", "aesz": "274", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "729d44a3b7b561b49603f26a25d26069", "dim_h": null, "inst": " 49/5 -68/5 6032/15 36276/5 350082/5 26161264/15 274004448/5 6603998596/5 97583032357/3 4784860673996/5", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(1296z^2-56z+1)(-5+36z)^2", "discr_factors": "-136048896, z-1/81, z^2-7/162*z+1/1296, (-5/36+z)^2", "dm_basis": null, "q": "0 1 -32 804 -20180 436314 -9036624 170450550 -3377965032 57874309731", "yuk": "1 49/5 -99 54337/5 2321169/5 43760299/5 1883664801/5 93983525713/5 3381249602321/5 118563384368092/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/324","im":"-1/81*2^(1/2)","approx_re":"0.0216049382716","approx_im":"-0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/324","im":"1/81*2^(1/2)","approx_re":"0.0216049382716","approx_im":"0.017459","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/36","im":"0","approx_re":"0.138888888889","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -11840*X^4-31360*X^3-28380*X^2-12700*X-2300, 1048576*X^4+8224768*X^3+14445056*X^2+9574400*X+2315760, 109051904*X^4+125829120*X^3-609091584*X^2-813957120*X-271426560, -4294967296*X^4-40802189312*X^3-76403441664*X^2-53485764608*X-12859211776, -67108864*(8*X+5)*(8*X+7)*(8*X+9)*(8*X+11)]", "text": "This is operator \"5.67\" from ...", "degz": 5, "h3": null, "sol": "1 92 14124 2572400 510577900 106698949392 23073900762864 5112820919583168 1153747673591018220 264058057845710757200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 25 -2300 -12700 -28380 -31360 -11840 2315760 9574400 14445056 8224768 1048576 -271426560 -813957120 -609091584 125829120 109051904 -12859211776 -53485764608 -76403441664 -40802189312 -4294967296 -232532213760 -1013612281856 -1606317768704 -1099511627776 -274877906944", "new_number": "5.67", "id": 279, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(592\\theta^4+1568\\theta^3+1419\\theta^2+635\\theta+115\\right)+2^{4} x^{2}\\left(65536\\theta^4+514048\\theta^3+902816\\theta^2+598400\\theta+144735\\right)+2^{10} x^{3}\\left(106496\\theta^4+122880\\theta^3-594816\\theta^2-794880\\theta-265065\\right)-2^{19} x^{4}\\left(8192\\theta^4+77824\\theta^3+145728\\theta^2+102016\\theta+24527\\right)-2^{26} x^{5}(8\\theta+5)(8\\theta+7)(8\\theta+9)(8\\theta+11)", "superseek": "116/5 186172/5", "discriminant": "5 25 -11840 1048576 109051904 -4294967296 -274877906944", "aesz": "275", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f411d346afd4b8ff14b8b4c1836bae77", "dim_h": null, "inst": " 116/5 -5993/5 186172/5 -8039756/5 384321296/5 -4052885815 1165997831068/5 -71146153051852/5 4532878454152584/5 -297595933756401716/5", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+64z)(256z+5)^2(256z-1)^2", "discr_factors": "-274877906944, -1/64+z, (z+5/256)^2, (z-1/256)^2", "dm_basis": null, "q": "0 1 -140 15654 -1622960 162641409 -15912329736 1528405518258 -144717142975680 13548270698953236", "yuk": "1 116/5 -47828/5 1005352 -514592212/5 48040162116/5 -4377111701384/5 79987451211288 -36426830877140436/5 3304468393082260496/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/256","im":"0","approx_re":"-0.01953125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/8","7/8","9/8","11/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[289*X^4, 4862*X^4+12478*X^3+11152*X^2+4913*X+867, 36990*X^4+198666*X^3+334881*X^2+236385*X+61200, -369603*X^4-1784592*X^3-3143448*X^2-2416635*X-685746, 807003*X^4+3621672*X^3+5767119*X^2+3956283*X+997272, -531441*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 280/5.69", "degz": 5, "h3": "153", "sol": "1 -3 9 51 -1431 16497 -93141 -675027 25911657 -366207267", "n_discr_factors": "2", "c3": "-126", "operator": "4 5 0 0 0 0 289 867 4913 11152 12478 4862 61200 236385 334881 198666 36990 -685746 -2416635 -3143448 -1784592 -369603 997272 3956283 5767119 3621672 807003 -531441 -2125764 -3188646 -2125764 -531441", "new_number": "5.68", "id": 280, "operator_tex": "17^{2} \\theta^4+17 x\\left(286\\theta^4+734\\theta^3+656\\theta^2+289\\theta+51\\right)+3^{2} x^{2}\\left(4110\\theta^4+22074\\theta^3+37209\\theta^2+26265\\theta+6800\\right)-3^{5} x^{3}\\left(1521\\theta^4+7344\\theta^3+12936\\theta^2+9945\\theta+2822\\right)+3^{8} x^{4}\\left(123\\theta^4+552\\theta^3+879\\theta^2+603\\theta+152\\right)-3^{12} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-10/17 10", "discriminant": "5 289 4862 36990 -369603 807003 -531441", "aesz": "279", "n_sing_complex": "2", "inst_int": "", "c2h": "90", "hash": "06f80606fbeb2b0cc9559df633f1f59d", "dim_h": "33", "inst": " -10/17 -19/17 10 -369/17 -1413/17 23517/17 -94575/17 -353339/17 8025851/17 -43298322/17", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(729z^3-189z^2-20z-1)(-17+27z)^2", "discr_factors": "-531441, z^3-7/27*z^2-20/729*z-1/729, (-17/27+z)^2", "dm_basis": null, "q": "0 1 5 30 44 108 39 -9936 -18201 148149", "yuk": "1 -10/17 -162/17 4580/17 -23778/17 -176635/17 5084100/17 -32439235/17 -10643138 5850849959/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/324*(10700+1044*29^(1/2))^(1/3)-109/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"-1/2*3^(1/2)*(1/162*(10700+1044*29^(1/2))^(1/3)-218/81/(10700+1044*29^(1/2))^(1/3))","approx_re":"-0.044921","approx_im":"-0.04372","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/324*(10700+1044*29^(1/2))^(1/3)-109/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"1/2*3^(1/2)*(1/162*(10700+1044*29^(1/2))^(1/3)-218/81/(10700+1044*29^(1/2))^(1/3))","approx_re":"-0.044921","approx_im":"0.04372","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/162*(10700+1044*29^(1/2))^(1/3)+218/81/(10700+1044*29^(1/2))^(1/3)+7/81","im":"0","approx_re":"0.349102","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/27","im":"0","approx_re":"0.62962962963","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1107*X^4+540*X^3+351*X^2+81*X+9, 369603*X^4-306180*X^3+7290*X^2-5103*X-2430, -26965710*X^4+36964674*X^3+28560033*X^2+10687869*X+1443420, -2583866142*X^4-3704143770*X^3-1535864490*X^2+316207395*X+271034910, -111964521321*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 279/5.68", "degz": 5, "h3": null, "sol": "1 -9 81 1017 -93231 3192291 -55221669 -887397849 112636210257 -4735203200001", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 9 81 351 540 -1107 -2430 -5103 7290 -306180 369603 1443420 10687869 28560033 36964674 -26965710 271034910 316207395 -1535864490 -3704143770 -2583866142 -111964521321 -447858085284 -671787127926 -447858085284 -111964521321", "new_number": "5.69", "id": 281, "operator_tex": "\\theta^4-3^{2} x\\left(123\\theta^4-60\\theta^3-39\\theta^2-9\\theta-1\\right)+3^{5} x^{2}\\left(1521\\theta^4-1260\\theta^3+30\\theta^2-21\\theta-10\\right)-3^{8} x^{3}\\left(4110\\theta^4-5634\\theta^3-4353\\theta^2-1629\\theta-220\\right)-3^{12} 17 x^{4}\\left(286\\theta^4+410\\theta^3+170\\theta^2-35\\theta-30\\right)-3^{18} 17^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-117 -844872", "discriminant": "5 1 -1107 369603 -26965710 -2583866142 -111964521321", "aesz": "280", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5083c4e9f432302302c564ba554e3bcd", "dim_h": null, "inst": " -117 -28899/4 -844872 -131189436 -23932952667 -4844455507473 -1054483950295746 -242170121624346954 -57955634299699381155 -57320791824608013614013/4", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(531441z^3+14580z^2+189z-1)(-1+459z)^2", "discr_factors": "-111964521321, (-1/459+z)^2, z^3+20/729*z^2+7/19683*z-1/531441", "dm_basis": null, "q": "0 1 45 4779 770964 153461358 34181002080 8170040350179 2050199242747677 533147528609281332", "yuk": "1 -117 -57915 -22811661 -8396181819 -2991619083492 -1046402412483627 -361687994951440995 -123991102280061822267 -42249657404480871673656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8748*(150812+28188*29^(1/2))^(1/3)+167/2187/(150812+28188*29^(1/2))^(1/3)-20/2187","im":"-1/54*3^(1/2)*(1/162*(150812+28188*29^(1/2))^(1/3)+334/81/(150812+28188*29^(1/2))^(1/3))","approx_re":"-0.015682","approx_im":"-0.015263","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8748*(150812+28188*29^(1/2))^(1/3)+167/2187/(150812+28188*29^(1/2))^(1/3)-20/2187","im":"1/54*3^(1/2)*(1/162*(150812+28188*29^(1/2))^(1/3)+334/81/(150812+28188*29^(1/2))^(1/3))","approx_re":"-0.015682","approx_im":"0.015263","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/459","im":"0","approx_re":"0.00217864923747","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4374*(150812+28188*29^(1/2))^(1/3)-334/2187/(150812+28188*29^(1/2))^(1/3)-20/2187","im":"0","approx_re":"0.003929","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -768*X^4-960*X^3-876*X^2-396*X-72, 24832*X^4+56320*X^3+67456*X^2+40320*X+9600, -385024*X^4-1179648*X^3-1626112*X^2-1069056*X-270336, 2883584*X^4+10485760*X^3+15335424*X^2+10092544*X+2490368, -8388608*(X+1)^4]", "text": "There is a second MUM-point at infinity,corresponding to Operator AESZ 56/5.9\nA-Incarnation: (2,0),(2.0),(0,2),(0,2),(1,1).intersection in $P^4 \\times P^4$", "degz": 5, "h3": "96", "sol": "1 8 104 1664 30376 611008 13247744 304586752 7331997352 182972345408", "n_discr_factors": "3", "c3": "-32", "operator": "4 5 0 0 0 0 9 -72 -396 -876 -960 -768 9600 40320 67456 56320 24832 -270336 -1069056 -1626112 -1179648 -385024 2490368 10092544 15335424 10485760 2883584 -8388608 -33554432 -50331648 -33554432 -8388608", "new_number": "5.6", "id": 282, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(64\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+2^{7} x^{2}\\left(194\\theta^4+440\\theta^3+527\\theta^2+315\\theta+75\\right)-2^{12} x^{3}\\left(94\\theta^4+288\\theta^3+397\\theta^2+261\\theta+66\\right)+2^{17} x^{4}\\left(22\\theta^4+80\\theta^3+117\\theta^2+77\\theta+19\\right)-2^{23} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "4/3 44/3", "discriminant": "5 9 -768 24832 -385024 2883584 -8388608", "aesz": "23", "n_sing_complex": "0", "inst_int": "", "c2h": "96", "hash": "65760d446ba9c3da587ce5bd9912745e", "dim_h": "24", "inst": " 4/3 13/3 44/3 278/3 2336/3 19855/3 61284 618890 19733168/3 217792936/3", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+32z)(16z-1)^2(32z-3)^2", "discr_factors": "-8388608, -1/32+z, (z-3/32)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 -12 94 -624 3117 -15528 48786 -336064 -572410", "yuk": "1 4/3 36 1192/3 17900/3 292004/3 1429992 63061240/3 950632940/3 14385480664/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32","im":"0","approx_re":"0.09375","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[441*X^4, -69069*X^4-128058*X^3-97545*X^2-33516*X-4410, 154240*X^4-923360*X^3-2137700*X^2-1348200*X-272580, 1706176*X^4+7894656*X^3+6723376*X^2+1861776*X+97440, -1280*(2*X+1)*(1916*X^3+2622*X^2+1077*X+91), -102400*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.70\" from ...", "degz": 5, "h3": "21", "sol": "1 10 510 38260 3473470 352297260 38418834300 4409395247400 525660485471550 64530507898499500", "n_discr_factors": "2", "c3": "-104", "operator": "4 5 0 0 0 0 441 -4410 -33516 -97545 -128058 -69069 -272580 -1348200 -2137700 -923360 154240 97440 1861776 6723376 7894656 1706176 -116480 -1611520 -6113280 -9164800 -4904960 -307200 -1433600 -2355200 -1638400 -409600", "new_number": "5.70", "id": 283, "operator_tex": "3^{2} 7^{2} \\theta^4-3 7 x\\left(3289\\theta^4+6098\\theta^3+4645\\theta^2+1596\\theta+210\\right)+2^{2} 5 x^{2}\\left(7712\\theta^4-46168\\theta^3-106885\\theta^2-67410\\theta-13629\\right)+2^{4} x^{3}\\left(106636\\theta^4+493416\\theta^3+420211\\theta^2+116361\\theta+6090\\right)-2^{8} 5 x^{4}(2\\theta+1)(1916\\theta^3+2622\\theta^2+1077\\theta+91)-2^{12} 5^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "361/21 120472/21", "discriminant": "5 441 -69069 154240 1706176 -4904960 -409600", "aesz": "287", "n_sing_complex": "3", "inst_int": "", "c2h": "66", "hash": "97932196c46a8712f6dcb11165d698be", "dim_h": "9", "inst": " 361/21 4780/21 120472/21 1537864/7 216261320/21 551815860 227115423676/7 42888879100432/21 2844347183044252/21 28081588564888700/3", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z^3+800z^2+149z-1)(-21+80z)^2", "discr_factors": "-409600, z^3+25/2*z^2+149/64*z-1/64, (-21/80+z)^2", "dm_basis": null, "q": "0 1 -36 176 -3368 -308928 -16116704 -1091407860 -76859141872 -5629218172992", "yuk": "1 361/21 12867/7 3253105/21 14062309 27032665361/21 834346677435/7 233701770962965/21 21959106394729673/21 2073529096442512813/21", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48*(-932842+2607*I*237^(1/2))^(1/3)-9553/48/(-932842+2607*I*237^(1/2))^(1/3)-25/6+1/2*I*3^(1/2)*(1/24*(-932842+2607*I*237^(1/2))^(1/3)-9553/24/(-932842+2607*I*237^(1/2))^(1/3))","im":"0","approx_re":"-12.310784","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(-932842+2607*I*237^(1/2))^(1/3)-9553/48/(-932842+2607*I*237^(1/2))^(1/3)-25/6-1/2*I*3^(1/2)*(1/24*(-932842+2607*I*237^(1/2))^(1/3)-9553/24/(-932842+2607*I*237^(1/2))^(1/3))","im":"0","approx_re":"-0.195701","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24*(-932842+2607*I*237^(1/2))^(1/3)+9553/24/(-932842+2607*I*237^(1/2))^(1/3)-25/6","im":"0","approx_re":"0.006485","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"21/80","im":"0","approx_re":"0.2625","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 837*X^4-756*X^3-480*X^2-102*X-9, 205578*X^4-227448*X^3+222102*X^2+104490*X+17982, 20903346*X^4+51018336*X^3+48931938*X^2+22320522*X+4094064, 3658971285*X^4+8609344200*X^3+9039811410*X^2+4735139310*X+1004423490, 87169610025*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 17/5.1", "degz": 5, "h3": null, "sol": "1 9 -837 -32553 4787019 253184859 -43950787299 -2639149978743 498347490542283 32056927648039251", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -9 -102 -480 -756 837 17982 104490 222102 -227448 205578 4094064 22320522 48931938 51018336 20903346 1004423490 4735139310 9039811410 8609344200 3658971285 87169610025 348678440100 523017660150 348678440100 87169610025", "new_number": "5.71", "id": 284, "operator_tex": "\\theta^4+3 x\\left(279\\theta^4-252\\theta^3-160\\theta^2-34\\theta-3\\right)+2 3^{5} x^{2}\\left(423\\theta^4-468\\theta^3+457\\theta^2+215\\theta+37\\right)+2 3^{9} x^{3}\\left(531\\theta^4+1296\\theta^3+1243\\theta^2+567\\theta+104\\right)+3^{15} 5 x^{4}\\left(51\\theta^4+120\\theta^3+126\\theta^2+66\\theta+14\\right)+3^{20} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "162 751026", "discriminant": "5 1 837 205578 20903346 3658971285 87169610025", "aesz": "290", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5552195a371df176b84ac2c2d791be7e", "dim_h": null, "inst": " 162 -8829 751026 -163125009/2 10343901204 -1453521572691 218980788617178 -69355077686713017/2 5703503255639183244 -966692381759058168864", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(27z+1)(19683z^2+1)(1+405z)^2", "discr_factors": "87169610025, (1/405+z)^2, z+1/27, z^2+1/19683", "dm_basis": null, "q": "0 1 -66 9891 -1506622 243708009 -41334322464 7277240009714 -1318339725168678 244138179772480590", "yuk": "1 162 -70470 20277864 -5220070758 1292987650662 -313960639494024 75110410495692216 -17754899893018603110 4157853873360984862740", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/405","im":"0","approx_re":"-0.00246913580247","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"-1/243*3^(1/2)","approx_re":"0.0","approx_im":"-0.007128","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"1/243*3^(1/2)","approx_re":"0.0","approx_im":"0.007128","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -566*X^4-34*X^3-62*X^2-45*X-9, 118110*X^4+51906*X^3+67479*X^2+25107*X+3420, -10936935*X^4-12894552*X^3-11467098*X^2-4844205*X-838998, 404089803*X^4+873015408*X^3+818451945*X^2+381944241*X+73107036, -1977491961*(X+1)^4]", "text": "There is a second MUM-point at infinity, \ncorresponding to Operator AESZ 124/5.18", "degz": 5, "h3": null, "sol": "1 9 189 3375 -159651 -33202791 -3756442689 -360595119519 -31731126659235 -2611165899213459", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 -9 -45 -62 -34 -566 3420 25107 67479 51906 118110 -838998 -4844205 -11467098 -12894552 -10936935 73107036 381944241 818451945 873015408 404089803 -1977491961 -7909967844 -11864951766 -7909967844 -1977491961", "new_number": "5.72", "id": 285, "operator_tex": "\\theta^4-x\\left(566\\theta^4+34\\theta^3+62\\theta^2+45\\theta+9\\right)+3 x^{2}\\left(39370\\theta^4+17302\\theta^3+22493\\theta^2+8369\\theta+1140\\right)-3^{2} x^{3}\\left(1215215\\theta^4+1432728\\theta^3+1274122\\theta^2+538245\\theta+93222\\right)+3^{7} 61 x^{4}\\left(3029\\theta^4+6544\\theta^3+6135\\theta^2+2863\\theta+548\\right)-3^{12} 61^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-28 -37768", "discriminant": "5 1 -566 118110 -10936935 404089803 -1977491961", "aesz": "291", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "cbc8242a8fecc72056e6e36b4864b868", "dim_h": null, "inst": " -28 -809 -37768 -2185213 -143204777 -30489768010/3 -762199509690 -59514316974923 -4792148905304457 -395337642872739927", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(59049z^3-11421z^2+200z-1)(-1+183z)^2", "discr_factors": "-1977491961, z^3-47/243*z^2+200/59049*z-1/59049, (-1/183+z)^2", "dm_basis": null, "q": "0 1 -9 321 22870 1995363 175451346 15725145505 1430794075599 131756626614654", "yuk": "1 -28 -6500 -1019764 -139860132 -17900597153 -2195264322956 -261434431823698 -30471330431020708 -3493476551967968917", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/183","im":"0","approx_re":"0.00546448087432","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(518428+4836*93^(1/2))^(1/3)-1609/729/(518428+4836*93^(1/2))^(1/3)+47/729","im":"-1/2*3^(1/2)*(1/1458*(518428+4836*93^(1/2))^(1/3)-3218/729/(518428+4836*93^(1/2))^(1/3))","approx_re":"0.009423","approx_im":"-0.002866","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2916*(518428+4836*93^(1/2))^(1/3)-1609/729/(518428+4836*93^(1/2))^(1/3)+47/729","im":"1/2*3^(1/2)*(1/1458*(518428+4836*93^(1/2))^(1/3)-3218/729/(518428+4836*93^(1/2))^(1/3))","approx_re":"0.009423","approx_im":"0.002866","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1458*(518428+4836*93^(1/2))^(1/3)+3218/729/(518428+4836*93^(1/2))^(1/3)+47/729","im":"0","approx_re":"0.174569","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -216*X^4-264*X^3-196*X^2-64*X-8, 6672*X^4-4896*X^3-19504*X^2-12416*X-2464, 42496*X^4+491520*X^3+406784*X^2+110592*X+5888, -28672*(2*X+1)*(38*X^3+45*X^2+12*X-2), -802816*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.73\" from ...", "degz": 5, "h3": "16", "sol": "1 8 528 45440 4763920 556795008 69938905344 9243039995904 1268613972671760 179279670581348480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 1 -8 -64 -196 -264 -216 -2464 -12416 -19504 -4896 6672 5888 110592 406784 491520 42496 57344 -229376 -1978368 -3670016 -2179072 -2408448 -11239424 -18464768 -12845056 -3211264", "new_number": "5.73", "id": 286, "operator_tex": "\\theta^4-2^{2} x\\left(54\\theta^4+66\\theta^3+49\\theta^2+16\\theta+2\\right)+2^{4} x^{2}\\left(417\\theta^4-306\\theta^3-1219\\theta^2-776\\theta-154\\right)+2^{8} x^{3}\\left(166\\theta^4+1920\\theta^3+1589\\theta^2+432\\theta+23\\right)-2^{12} 7 x^{4}(2\\theta+1)(38\\theta^3+45\\theta^2+12\\theta-2)-2^{14} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "20 13188", "discriminant": "5 1 -216 6672 42496 -2179072 -3211264", "aesz": "293\n", "n_sing_complex": "0", "inst_int": "", "c2h": "52", "hash": "f19eeaee48396d15d7cf7be47d7d48a7", "dim_h": "7", "inst": " 20 867/2 13188 609734 35512476 4757494887/2 174895402996 13771251674214 1142718645352032 197654872436043985/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(256z^2+176z-1)(-1+28z)^2", "discr_factors": "-3211264, z^2+11/16*z-1/256, z+1/16, (-1/28+z)^2", "dm_basis": null, "q": "0 1 -32 -480 -4352 -721104 -62992896 -5185868288 -452386127872 -41357676687720", "yuk": "1 20 3488 356096 39026464 4439059520 513809807360 59989123227648 7050880896224032 833041892461987424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.693136","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/32+5/32*5^(1/2)","im":"0","approx_re":"0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/28","im":"0","approx_re":"0.0357142857143","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -14*X*(520*X^3+68*X^2+41*X+7), -113760*X^4-1846944*X^3-2554716*X^2-1296960*X-225792, 40594176*X^4+147547008*X^3+138063744*X^2+54368496*X+7880544, -139968*(2*X+1)^2*(2257*X^2+3601*X+1942), 362797056*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.74\" from ...", "degz": 5, "h3": null, "sol": "1 0 288 7200 1058400 63504000 7214407200 606010204800 65124453794400 6338289589632000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 49 0 -98 -574 -952 -7280 -225792 -1296960 -2554716 -1846944 -113760 7880544 54368496 138063744 147547008 40594176 -271817856 -1591296192 -3419278272 -3279730176 -1263631104 3265173504 17414258688 31926140928 23219011584 5804752896", "new_number": "5.74", "id": 287, "operator_tex": "7^{2} \\theta^4-2 7 x\\theta(520\\theta^3+68\\theta^2+41\\theta+7)-2^{2} 3 x^{2}\\left(9480\\theta^4+153912\\theta^3+212893\\theta^2+108080\\theta+18816\\right)+2^{4} 3^{3} 7 x^{3}\\left(13424\\theta^4+48792\\theta^3+45656\\theta^2+17979\\theta+2606\\right)-2^{6} 3^{7} x^{4}(2\\theta+1)^2(2257\\theta^2+3601\\theta+1942)+2^{11} 3^{11} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "26/7 55644/7", "discriminant": "5 49 -7280 -113760 40594176 -1263631104 5804752896", "aesz": "297", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cd0b6008fa6b70d89e004100b5698063", "dim_h": null, "inst": " 26/7 2594/7 55644/7 2996576/7 135364470/7 8596206540/7 533879405646/7 38053695086208/7 2751889421486826/7 212085929160164526/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(128z-1)(432z^2-72z-1)(-7+324z)^2", "discr_factors": "5804752896, z-1/128, z^2-1/6*z-1/432, (-7/324+z)^2", "dm_basis": null, "q": "0 1 -2 -1095 -23404 -925252 -52385682 -4128187094 -304090424456 -24970399923132", "yuk": "1 26/7 20778/7 1502414/7 191801642/7 16920558776/7 1856782135806/7 183120636136604/7 19483492075940138/7 2006127388265398568/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"1/12-1/18*3^(1/2)","im":"0","approx_re":"-0.012892","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/324","im":"0","approx_re":"0.0216049382716","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12+1/18*3^(1/2)","im":"0","approx_re":"0.179558","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[81*X^4, -17937*X^4-28962*X^3-21933*X^2-7452*X-972, 559552*X^4+805888*X^3+391648*X^2+89280*X+9504, -6046720*X^4-8902656*X^3-7399680*X^2-3186432*X-539136, 32768*(2*X+1)*(340*X^3+618*X^2+455*X+129), -4194304*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.75\" from ...", "degz": 5, "h3": "18", "sol": "1 12 708 63840 6989220 855982512 112786041984 15645580194816 2254801269803940 334669706566543920", "n_discr_factors": "3", "c3": "-92", "operator": "4 5 0 0 0 0 81 -972 -7452 -21933 -28962 -17937 9504 89280 391648 805888 559552 -539136 -3186432 -7399680 -8902656 -6046720 4227072 23363584 50069504 51642368 22282240 -12582912 -58720256 -96468992 -67108864 -16777216", "new_number": "5.75", "id": 288, "operator_tex": "3^{4} \\theta^4-3^{2} x\\left(1993\\theta^4+3218\\theta^3+2437\\theta^2+828\\theta+108\\right)+2^{5} x^{2}\\left(17486\\theta^4+25184\\theta^3+12239\\theta^2+2790\\theta+297\\right)-2^{8} x^{3}\\left(23620\\theta^4+34776\\theta^3+28905\\theta^2+12447\\theta+2106\\right)+2^{15} x^{4}(2\\theta+1)(340\\theta^3+618\\theta^2+455\\theta+129)-2^{22} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "205/9 97622/9", "discriminant": "5 81 -17937 559552 -6046720 22282240 -16777216", "aesz": "298", "n_sing_complex": "0", "inst_int": "", "c2h": "12", "hash": "e52d50673ec5c795512e2bc3e1017b12", "dim_h": "4", "inst": " 205/9 3206/9 97622/9 496806 254037095/9 16476340418/9 1172722066057/9 9930597861190 7176881517850505/9 200193418895368288/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(1024z^2-192z+1)(-9+128z)^2", "discr_factors": "-16777216, (-9/128+z)^2, z^2-3/16*z+1/1024, z-1", "dm_basis": null, "q": "0 1 -44 350 -10696 -567579 -43127416 -3457085002 -294469950256 -26124408525758", "yuk": "1 205/9 25853/9 2635999/9 286186109/9 31754637080/9 3558892191935/9 402243668657756/9 45760195230549629/9 5231946626515654144/9", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/16*2^(1/2)","im":"0","approx_re":"0.005362","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/128","im":"0","approx_re":"0.0703125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/16*2^(1/2)","im":"0","approx_re":"0.182138","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -1776*X^4-3300*X^3-2487*X^2-837*X-108, 13801*X^4+6652*X^3-18041*X^2-14904*X-3312, -2*X*(8461*X^3-29160*X^2-28365*X-7236), -43092*X^4-72576*X^3-40908*X^2-5376*X+1344, -1176*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.76\" from ...", "degz": 5, "h3": "18", "sol": "1 12 732 67080 7456140 926920512 123962745144 17452988516304 2552819496885900 384553561286809200", "n_discr_factors": "3", "c3": "-90", "operator": "4 5 0 0 0 0 9 -108 -837 -2487 -3300 -1776 -3312 -14904 -18041 6652 13801 0 14472 56730 58320 -16922 1344 -5376 -40908 -72576 -43092 -9408 -39984 -62328 -42336 -10584", "new_number": "5.76", "id": 289, "operator_tex": "3^{2} \\theta^4-3 x\\left(592\\theta^4+1100\\theta^3+829\\theta^2+279\\theta+36\\right)+x^{2}\\left(13801\\theta^4+6652\\theta^3-18041\\theta^2-14904\\theta-3312\\right)-2 x^{3}\\theta(8461\\theta^3-29160\\theta^2-28365\\theta-7236)-2^{2} 3 7 x^{4}\\left(513\\theta^4+864\\theta^3+487\\theta^2+64\\theta-16\\right)-2^{3} 3 7^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "73/3 11119", "discriminant": "5 9 -1776 13801 -16922 -43092 -10584", "aesz": "306", "n_sing_complex": "0", "inst_int": "", "c2h": "60", "hash": "d14307aa38b16c728ee31e5936937c44", "dim_h": "8", "inst": " 73/3 2131/6 11119 518671 29749701 3901038259/2 140360129678 10814052859404 877844110264408 445563524466054257/6", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z+1)(54z^2+189z-1)(-3+14z)^2", "discr_factors": "-10584, z+1, (-3/14+z)^2, z^2+7/2*z-1/54", "dm_basis": null, "q": "0 1 -45 378 -10275 -622278 -44377758 -3650207751 -314202691197 -28179105875892", "yuk": "1 73/3 8597/3 900712/3 99593429/3 11156137948/3 1263937305152/3 144430573438735/3 16610385291637973/3 1919845069149161008/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/4-11/36*33^(1/2)","im":"0","approx_re":"-3.505283","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/4+11/36*33^(1/2)","im":"0","approx_re":"0.005283","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"0","approx_re":"0.214285714286","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -11913*X^4-17490*X^3-13827*X^2-5082*X-726, 188032*X^4+183616*X^3-13004*X^2-68376*X-19404, -1508928*X^4-4169088*X^3-7697424*X^2-5862384*X-1454112, 4608*(2*X+1)*(1252*X^3+5442*X^2+6767*X+2625), -11943936*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.77\" from ...", "degz": 5, "h3": "33", "sol": "1 6 162 6540 314370 16821756 966410676 58383231192 3661694291970 236408314316460", "n_discr_factors": "3", "c3": "-108", "operator": "4 5 0 0 0 0 121 -726 -5082 -13827 -17490 -11913 -19404 -68376 -13004 183616 188032 -1454112 -5862384 -7697424 -4169088 -1508928 12096000 55374336 87441408 55922688 11538432 -35831808 -167215104 -274710528 -191102976 -47775744", "new_number": "5.77", "id": 290, "operator_tex": "11^{2} \\theta^4-3 11 x\\left(361\\theta^4+530\\theta^3+419\\theta^2+154\\theta+22\\right)+2^{2} x^{2}\\left(47008\\theta^4+45904\\theta^3-3251\\theta^2-17094\\theta-4851\\right)-2^{4} 3 x^{3}\\left(31436\\theta^4+86856\\theta^3+160363\\theta^2+122133\\theta+30294\\right)+2^{9} 3^{2} x^{4}(2\\theta+1)(1252\\theta^3+5442\\theta^2+6767\\theta+2625)-2^{14} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "69/11 8883/11", "discriminant": "5 121 -11913 188032 -1508928 11538432 -47775744", "aesz": "307", "n_sing_complex": "2", "inst_int": "", "c2h": "78", "hash": "3a2dcd4c59d8fa5b7c57250efeecba62", "dim_h": "12", "inst": " 69/11 620/11 8883/11 171916/11 4334406/11 11275740 3882344490/11 130168148228/11 4597374907287/11 169191991110988/11", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z-1)(64z^2+1)(-11+96z)^2", "discr_factors": "-47775744, z^2+1/64, z-1/81, (-11/96+z)^2", "dm_basis": null, "q": "0 1 -18 15 -744 -14937 -806238 -26117077 -969966144 -37931377338", "yuk": "1 69/11 5029/11 21810 11007653/11 541800819/11 26791403110/11 1331644160139/11 66646102900389/11 3351486307652133/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"-1/8","approx_re":"0.0","approx_im":"-0.125","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"1/8","approx_re":"0.0","approx_im":"0.125","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/96","im":"0","approx_re":"0.114583333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[841*X^4, -76444*X^4-135488*X^3-104748*X^2-37004*X-5046, -363984*X^4-2977536*X^3-5070104*X^2-3166336*X-673380, 3417200*X^4+7725600*X^3-4670100*X^2-11040300*X-3654000, 10000*(2*X+1)*(68*X^3+1842*X^2+2899*X+1215), -5000000*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.78\" from ...", "degz": 5, "h3": "29", "sol": "1 6 210 9780 551250 34587756 2330225436 165091881240 12143185630290 919460248406700", "n_discr_factors": "2", "c3": "-104", "operator": "4 5 0 0 0 0 841 -5046 -37004 -104748 -135488 -76444 -673380 -3166336 -5070104 -2977536 -363984 -3654000 -11040300 -4670100 7725600 3417200 12150000 53290000 76400000 37520000 1360000 -15000000 -70000000 -115000000 -80000000 -20000000", "new_number": "5.78", "id": 291, "operator_tex": "29^{2} \\theta^4-2 29 x\\left(1318\\theta^4+2336\\theta^3+1806\\theta^2+638\\theta+87\\right)-2^{2} x^{2}\\left(90996\\theta^4+744384\\theta^3+1267526\\theta^2+791584\\theta+168345\\right)+2^{2} 5^{2} x^{3}\\left(34172\\theta^4+77256\\theta^3-46701\\theta^2-110403\\theta-36540\\right)+2^{4} 5^{4} x^{4}(2\\theta+1)(68\\theta^3+1842\\theta^2+2899\\theta+1215)-2^{6} 5^{7} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "248/29 38708/29", "discriminant": "5 841 -76444 -363984 3417200 1360000 -20000000", "aesz": "308", "n_sing_complex": "3", "inst_int": "", "c2h": "74", "hash": "94e96c5d238b2d22a633f4e05ec1ae9f", "dim_h": "11", "inst": " 248/29 2476/29 38708/29 940480/29 27926248/29 947385848/29 35235085432/29 1402989415192/29 58850157860196/29 2572297729204788/29", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2000z^3+1024z^2+84z-1)(-29+100z)^2", "discr_factors": "-20000000, (-29/100+z)^2, z^3+64/125*z^2+21/500*z-1/2000", "dm_basis": null, "q": "0 1 -20 -56 564 -52084 -1877024 -73710174 -3304023696 -153370033730", "yuk": "1 248/29 20056/29 1045364/29 60210776/29 3490781248/29 204636408340/29 12085634303424/29 718330640789080/29 42901765081128248/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3000*(-3837466+471750*I*111^(1/2))^(1/3)-8509/750/(-3837466+471750*I*111^(1/2))^(1/3)-64/375+1/4*I*3^(1/2)*(1/750*(-3837466+471750*I*111^(1/2))^(1/3)-17018/375/(-3837466+471750*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.40534","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3000*(-3837466+471750*I*111^(1/2))^(1/3)-8509/750/(-3837466+471750*I*111^(1/2))^(1/3)-64/375-1/4*I*3^(1/2)*(1/750*(-3837466+471750*I*111^(1/2))^(1/3)-17018/375/(-3837466+471750*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.117186","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1500*(-3837466+471750*I*111^(1/2))^(1/3)+8509/375/(-3837466+471750*I*111^(1/2))^(1/3)-64/375","im":"0","approx_re":"0.010526","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/100","im":"0","approx_re":"0.29","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -18403*X^4-33506*X^3-25707*X^2-8954*X-1210, 192470*X^4+282980*X^3+132850*X^2+34540*X+6600, -669988*X^4-983928*X^3-909804*X^2-461736*X-91872, 815800*X^4+2054000*X^3+2285400*X^2+1245200*X+268000, -20000*(4*X+3)*(X+1)^2*(4*X+5)]", "text": "This is operator \"5.79\" from ...", "degz": 5, "h3": "132", "sol": "1 10 450 30772 2551810 236608260 23596946100 2477211489000 270152941907970 30340326488101300", "n_discr_factors": "3", "c3": "-516", "operator": "4 5 0 0 0 0 121 -1210 -8954 -25707 -33506 -18403 6600 34540 132850 282980 192470 -91872 -461736 -909804 -983928 -669988 268000 1245200 2285400 2054000 815800 -300000 -1240000 -1900000 -1280000 -320000", "new_number": "5.79", "id": 292, "operator_tex": "11^{2} \\theta^4-11 x\\left(1673\\theta^4+3046\\theta^3+2337\\theta^2+814\\theta+110\\right)+2 5 x^{2}\\left(19247\\theta^4+28298\\theta^3+13285\\theta^2+3454\\theta+660\\right)-2^{2} x^{3}\\left(167497\\theta^4+245982\\theta^3+227451\\theta^2+115434\\theta+22968\\right)+2^{3} 5^{2} x^{4}\\left(4079\\theta^4+10270\\theta^3+11427\\theta^2+6226\\theta+1340\\right)-2^{5} 5^{4} x^{5}(4\\theta+3)(\\theta+1)^2(4\\theta+5)", "superseek": "181/11 47171/11", "discriminant": "5 121 -18403 192470 -669988 815800 -320000", "aesz": "310", "n_sing_complex": "0", "inst_int": "", "c2h": "-48", "hash": "2b9b103b1c8f0d3175cd1fb9ef5aacc2", "dim_h": "18", "inst": " 181/11 2018/11 47171/11 3261479/22 69313270/11 3365244834/11 179297422954/11 10226880863781/11 614573261709111/11 38486025659517390/11", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(128z^2-142z+1)(-11+50z)^2", "discr_factors": "-320000, z^2-71/64*z+1/128, z-1, (-11/50+z)^2", "dm_basis": null, "q": "0 1 -34 239 -4824 -174473 -9827854 -593163269 -37812392672 -2510447352650", "yuk": "1 181/11 16325/11 1273798/11 9489423 8664158931/11 726894174086/11 61499016073403/11 5236163106639525/11 448023907787215717/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"71/128-17/128*17^(1/2)","im":"0","approx_re":"0.007088","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/50","im":"0","approx_re":"0.22","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"71/128+17/128*17^(1/2)","im":"0","approx_re":"1.102287","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","1","1","5/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -519*X^4-1020*X^3-816*X^2-306*X-45, -2258*X^4-10064*X^3-15194*X^2-9546*X-2166, 1686*X^4+5256*X^3+4706*X^2+1350*X+12, -295*X^4-608*X^3-478*X^2-174*X-26, (X+1)^4]", "text": "A-incarnation: X(1,1,1,1,1,1,1) in G(2,7)\nThere is a second MUM point at infinity related to\nthe Pfaffian in P^7, AESZ 243/5.46", "degz": 5, "h3": "378", "sol": "1 5 109 3317 121501 4954505 216867925 9981053045 476860000285 23451310381505", "n_discr_factors": "2", "c3": "-882", "operator": "4 5 0 0 0 0 9 -45 -306 -816 -1020 -519 -2166 -9546 -15194 -10064 -2258 12 1350 4706 5256 1686 -26 -174 -478 -608 -295 1 4 6 4 1", "new_number": "5.7", "id": 293, "operator_tex": "3^{2} \\theta^4-3 x\\left(173\\theta^4+340\\theta^3+272\\theta^2+102\\theta+15\\right)-2 x^{2}\\left(1129\\theta^4+5032\\theta^3+7597\\theta^2+4773\\theta+1083\\right)+2 x^{3}\\left(843\\theta^4+2628\\theta^3+2353\\theta^2+675\\theta+6\\right)-x^{4}\\left(295\\theta^4+608\\theta^3+478\\theta^2+174\\theta+26\\right)+x^{5}\\left((\\theta+1)^4\\right)", "superseek": "14/3 910/3", "discriminant": "5 9 -519 -2258 1686 -295 1", "aesz": "27", "n_sing_complex": "3", "inst_int": "", "c2h": "-252", "hash": "3671a1760894e9030e36de89070612e8", "dim_h": "42", "inst": " 14/3 175/6 910/3 14147/3 265496/3 3801105/2 44713634 1125927236 89584714366/3 2475567318392/3", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(z^3-289z^2-57z+1)(z-3)^2", "discr_factors": "1, (z-3)^2, z^3-289*z^2-57*z+1", "dm_basis": null, "q": "0 1 -14 7 14 -8869 -165816 -4477284 -126418042 -3699502611", "yuk": "1 14/3 238 24584/3 906122/3 11062338 410527768 46010329400/3 1729425140618/3 65307256797398/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/6*(70588+84*I*3^(1/2))^(1/3)-5978/3/(70588+84*I*3^(1/2))^(1/3)+289/3+1/2*I*3^(1/2)*(7/3*(70588+84*I*3^(1/2))^(1/3)-11956/3/(70588+84*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.213297","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/6*(70588+84*I*3^(1/2))^(1/3)-5978/3/(70588+84*I*3^(1/2))^(1/3)+289/3-1/2*I*3^(1/2)*(7/3*(70588+84*I*3^(1/2))^(1/3)-11956/3/(70588+84*I*3^(1/2))^(1/3))","im":"0","approx_re":"0.016211","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3","im":"0","approx_re":"3.0","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"7/3*(70588+84*I*3^(1/2))^(1/3)+11956/3/(70588+84*I*3^(1/2))^(1/3)+289/3","im":"0","approx_re":"289.197085","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -4251*X^4-13494*X^3-11141*X^2-4394*X-676, -205568*X^4-672128*X^3-833312*X^2-456768*X-91312, -249856*X^4+3833856*X^3+12986368*X^2+11821056*X+3168256, 65536*(2*X+1)*(76*X^3+426*X^2+570*X+227), 8388608*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.80\" from ...", "degz": 5, "h3": "52", "sol": "1 4 84 1840 56980 1827504 65127216 2403800256 92748607380 3672378870160", "n_discr_factors": "2", "c3": "-144", "operator": "4 5 0 0 0 0 169 -676 -4394 -11141 -13494 -4251 -91312 -456768 -833312 -672128 -205568 3168256 11821056 12986368 3833856 -249856 14876672 67108864 102629376 60817408 9961472 25165824 117440512 192937984 134217728 33554432", "new_number": "5.80", "id": 294, "operator_tex": "13^{2} \\theta^4-13 x\\left(327\\theta^4+1038\\theta^3+857\\theta^2+338\\theta+52\\right)-2^{4} x^{2}\\left(12848\\theta^4+42008\\theta^3+52082\\theta^2+28548\\theta+5707\\right)-2^{11} x^{3}\\left(122\\theta^4-1872\\theta^3-6341\\theta^2-5772\\theta-1547\\right)+2^{16} x^{4}(2\\theta+1)(76\\theta^3+426\\theta^2+570\\theta+227)+2^{23} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "25/13 875/13", "discriminant": "5 169 -4251 -205568 -249856 9961472 33554432", "aesz": "311", "n_sing_complex": "3", "inst_int": "", "c2h": "100", "hash": "8219f3f4bd56f6c2b2cc3ab9093b65d1", "dim_h": "17", "inst": " 25/13 1359/52 875/13 36572/13 256800/13 34500709/52 104613534/13 3142545372/13 51341929900/13 1458903910460/13", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(8192z^3-896z^2-35z+1)(13+64z)^2", "discr_factors": "33554432, (13/64+z)^2, z^3-7/64*z^2-35/8192*z+1/8192", "dm_basis": null, "q": "0 1 -10 -61 1328 -19755 61538 -2237427 -17950176 -1074578897", "yuk": "1 25/13 211 23650/13 2343351/13 32100025/13 1863064654/13 35882442187/13 1608985573815/13 37428266920750/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/64","im":"0","approx_re":"-0.203125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(3698+474*I*237^(1/2))^(1/3)-203/384/(3698+474*I*237^(1/2))^(1/3)+7/192+1/2*I*3^(1/2)*(1/384*(3698+474*I*237^(1/2))^(1/3)-203/192/(3698+474*I*237^(1/2))^(1/3))","im":"0","approx_re":"-0.045147","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(3698+474*I*237^(1/2))^(1/3)-203/384/(3698+474*I*237^(1/2))^(1/3)+7/192-1/2*I*3^(1/2)*(1/384*(3698+474*I*237^(1/2))^(1/3)-203/192/(3698+474*I*237^(1/2))^(1/3))","im":"0","approx_re":"0.020117","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384*(3698+474*I*237^(1/2))^(1/3)+203/192/(3698+474*I*237^(1/2))^(1/3)+7/192","im":"0","approx_re":"0.134405","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -98-588*X-1407*X^2-1638*X^3-273*X^4, -15512-68656*X-114922*X^2-86444*X^3-24146*X^4, 128128+323904*X+133572*X^2-193704*X^3-115692*X^4, 428896+1641536*X+2163720*X^2+1018160*X^3+37336*X^4, 16224*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"5.81\" from ...", "degz": 5, "h3": "84", "sol": "1 2 30 308 5950 96252 1973244 38397480 823170366 17515057340", "n_discr_factors": "4", "c3": "-108", "operator": "4 5 0 0 0 0 49 -98 -588 -1407 -1638 -273 -15512 -68656 -114922 -86444 -24146 128128 323904 133572 -193704 -115692 428896 1641536 2163720 1018160 37336 567840 2303808 3488160 2336256 584064", "new_number": "5.81", "id": 295, "operator_tex": "7^{2} \\theta^4-7 x\\left(39\\theta^4+234\\theta^3+201\\theta^2+84\\theta+14\\right)-2 x^{2}\\left(12073\\theta^4+43222\\theta^3+57461\\theta^2+34328\\theta+7756\\right)-2^{2} x^{3}\\left(28923\\theta^4+48426\\theta^3-33393\\theta^2-80976\\theta-32032\\right)+2^{3} 13 x^{4}\\left(359\\theta^4+9790\\theta^3+20805\\theta^2+15784\\theta+4124\\right)+2^{5} 3 13^{2} x^{5}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "5/7 48/7", "discriminant": "5 49 -273 -24146 -115692 37336 584064", "aesz": "312", "n_sing_complex": "0", "inst_int": "", "c2h": "108", "hash": "767262575f8b1458839c1e9a8beacf0a", "dim_h": "23", "inst": " 5/7 239/28 48/7 4451/14 5888/7 177307/7 124308 21455179/7 21345700 3274689851/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(16z+1)(2z-1)(27z-1)(7+26z)^2", "discr_factors": "584064, z-1/2, z-1/27, (7/26+z)^2, z+1/16", "dm_basis": null, "q": "0 1 -4 -40 248 -1488 -864 -90452 -266448 -17360416", "yuk": "1 5/7 69 1301/7 142915/7 736005/7 38300091/7 298463513/7 1569313509 108927108401/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/26","im":"0","approx_re":"-0.269230769231","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2","im":"0","approx_re":"0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -(X+1)*(285*X^3+321*X^2+128*X+18), -3280*X^4-2644*X^3+2674*X^2+2356*X+480, -7668*X^4+9216*X^3+10296*X^2+2880*X+180, 216*(2*X+1)*(22*X^3+37*X^2+24*X+6), 432*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.82\" from ...", "degz": 5, "h3": "14", "sol": "1 18 1662 236340 40943070 7945789068 1660174030284 365333722192296 83543805631567710 19678956052342595580", "n_discr_factors": "3", "c3": "-96", "operator": "4 5 0 0 0 0 1 -18 -146 -449 -606 -285 480 2356 2674 -2644 -3280 180 2880 10296 9216 -7668 1296 7776 18360 20736 9504 1296 6048 9936 6912 1728", "new_number": "5.82", "id": 296, "operator_tex": "\\theta^4-x(\\theta+1)(285\\theta^3+321\\theta^2+128\\theta+18)-2 x^{2}\\left(1640\\theta^4+1322\\theta^3-1337\\theta^2-1178\\theta-240\\right)-2^{2} 3^{2} x^{3}\\left(213\\theta^4-256\\theta^3-286\\theta^2-80\\theta-5\\right)+2^{3} 3^{3} x^{4}(2\\theta+1)(22\\theta^3+37\\theta^2+24\\theta+6)+2^{4} 3^{3} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "45 43531", "discriminant": "5 1 -285 -3280 -7668 9504 1728", "aesz": "313", "n_sing_complex": "0", "inst_int": "", "c2h": "56", "hash": "f8bfe82988e14680bdb775a3ce956216", "dim_h": "7", "inst": " 45 845 43531 3091112 273471538 27632280740 3065139414900 364034045136592 45554291158936325 5940634529870887198", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(z-1)(48z^2+296z-1)(6z+1)^2", "discr_factors": "1728, (z+1/6)^2, z^2+37/6*z-1/48, z-1", "dm_basis": null, "q": "0 1 -74 1559 -67652 -2528789 -386350534 -46810486807 -6250760414504 -864098531880686", "yuk": "1 45 6805 1175382 197837973 34183942295 5968573821982 1051342819310745 186385431307773077 33209078254865756307", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-37/12-7/6*7^(1/2)","im":"0","approx_re":"-6.170043","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-37/12+7/6*7^(1/2)","im":"0","approx_re":"0.003377","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -2904-24684*X-79068*X^2-108768*X^3-48048*X^4, 50688+204864*X-399968*X^2-2703872*X^3-1989248*X^4, -1297296-7767936*X-17613696*X^2-22758912*X^3-23232768*X^4, -18432*(964*X^2+1360*X+669)*(2*X+1)^2, -5308416*(2*X+1)^2*(2*X+3)^2]", "text": "This is operator \"5.83\" from ...", "degz": 5, "h3": "11", "sol": "1 24 3240 675600 171901800 49034994624 15064673467536 4875632664439680 1640033450646762600 568302437330193508800", "n_discr_factors": "2", "c3": "-88", "operator": "4 5 0 0 0 0 121 -2904 -24684 -79068 -108768 -48048 50688 204864 -399968 -2703872 -1989248 -1297296 -7767936 -17613696 -22758912 -23232768 -12331008 -74391552 -167362560 -171343872 -71073792 -47775744 -254803968 -467140608 -339738624 -84934656", "new_number": "5.83", "id": 297, "operator_tex": "11^{2} \\theta^4-2^{2} 3 11 x\\left(364\\theta^4+824\\theta^3+599\\theta^2+187\\theta+22\\right)-2^{5} x^{2}\\left(62164\\theta^4+84496\\theta^3+12499\\theta^2-6402\\theta-1584\\right)-2^{4} 3 x^{3}\\left(484016\\theta^4+474144\\theta^3+366952\\theta^2+161832\\theta+27027\\right)-2^{11} 3^{2} x^{4}(964\\theta^2+1360\\theta+669)(2\\theta+1)^2-2^{16} 3^{4} x^{5}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "852/11 1678156/11", "discriminant": "5 121 -48048 -1989248 -23232768 -71073792 -84934656", "aesz": "316", "n_sing_complex": "2", "inst_int": "", "c2h": "50", "hash": "b8201d587a016cc013e2477aadb5c1ff", "dim_h": "6", "inst": " 852/11 21572/11 1678156/11 15912512 22956446184/11 3433194654748/11 563991930666972/11 9018115493682352 18385133020280565556/11 322819093214895368408", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(2304z^3+1664z^2+432z-1)(11+192z)^2", "discr_factors": "-84934656, z^3+13/18*z^2+3/16*z-1/2304, (11/192+z)^2", "dm_basis": null, "q": "0 1 -108 3282 -216528 -12519609 -2779275096 -499664503174 -98806684879296 -20228146546192713", "yuk": "1 852/11 173428/11 45311064/11 11202581876/11 2869555773852/11 67415462809928 193449232218772248/11 50790026471621588340/11 13402761971784577601388/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/432*(89027+11799*57^(1/2))^(1/3)+53/108/(89027+11799*57^(1/2))^(1/3)-13/54","im":"-1/8*3^(1/2)*(1/54*(89027+11799*57^(1/2))^(1/3)+106/27/(89027+11799*57^(1/2))^(1/3))","approx_re":"-0.362258","approx_im":"-0.240689","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/432*(89027+11799*57^(1/2))^(1/3)+53/108/(89027+11799*57^(1/2))^(1/3)-13/54","im":"1/8*3^(1/2)*(1/54*(89027+11799*57^(1/2))^(1/3)+106/27/(89027+11799*57^(1/2))^(1/3))","approx_re":"-0.362258","approx_im":"0.240689","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/192","im":"0","approx_re":"-0.0572916666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/216*(89027+11799*57^(1/2))^(1/3)-53/54/(89027+11799*57^(1/2))^(1/3)-13/54","im":"0","approx_re":"0.002294","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -2365*X^4-4460*X^3-3480*X^2-1250*X-175, 3946*X^4-9272*X^3-28834*X^2-21790*X-5490, 6174*X^4+34560*X^3+20646*X^2-6210*X-5760, -6723*X^4+8424*X^3+37098*X^2+32886*X+9234, -6561*(X+1)^4]", "text": "There is a second MUM-point at infinity,\ncorresponding to Operator AESZ 319/5.85\nFibre product: 53211- x 632--1(1)\n", "degz": 5, "h3": "30", "sol": "1 7 219 9961 546379 33440757 2199262269 152168119383 10933656369867 808865626688413", "n_discr_factors": "3", "c3": "-86", "operator": "4 5 0 0 0 0 25 -175 -1250 -3480 -4460 -2365 -5490 -21790 -28834 -9272 3946 -5760 -6210 20646 34560 6174 9234 32886 37098 8424 -6723 -6561 -26244 -39366 -26244 -6561", "new_number": "5.84", "id": 298, "operator_tex": "5^{2} \\theta^4-5 x\\left(473\\theta^4+892\\theta^3+696\\theta^2+250\\theta+35\\right)+2 x^{2}\\left(1973\\theta^4-4636\\theta^3-14417\\theta^2-10895\\theta-2745\\right)+2 3^{2} x^{3}\\left(343\\theta^4+1920\\theta^3+1147\\theta^2-345\\theta-320\\right)-3^{4} x^{4}\\left(83\\theta^4-104\\theta^3-458\\theta^2-406\\theta-114\\right)-3^{8} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "46/5 1126", "discriminant": "5 25 -2365 3946 6174 -6723 -6561", "aesz": "318", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "3fa38f629ecd5f39b585ce0c1bd88463", "dim_h": "11", "inst": " 46/5 717/10 1126 51481/2 3609772/5 693353459/30 4058216342/5 305088059917/10 6040466014836/5 249239441393223/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z+1)(81z^2+92z-1)(-5+9z)^2", "discr_factors": "-6561, z+1, (-5/9+z)^2, z^2+92/81*z-1/81", "dm_basis": null, "q": "0 1 -22 75 -874 -37047 -1214304 -48755214 -2049708066 -89619902802", "yuk": "1 46/5 2914/5 152056/5 8239874/5 451221546/5 24960879448/5 1391968205352/5 78102551578626/5 880699944993500", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-46/81-13/81*13^(1/2)","im":"0","approx_re":"-1.14657","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-46/81+13/81*13^(1/2)","im":"0","approx_re":"0.010767","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/9","im":"0","approx_re":"0.555555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 83*X^4+436*X^3+352*X^2+134*X+21, -6174*X^4+9864*X^3+45990*X^2+31482*X+7290, -319626*X^4-2029536*X^3-1835298*X^2-625482*X-55404, 15516765*X^4+32805000*X^3+28146690*X^2+11744190*X+2033910, -13286025*(X+1)^4]", "text": "There is a second MUM-point at infinity, corresponding\nto Operator AESZ 318/5.84\nB-Incarnation:\nFibre product 53211- x 632--1(0)\n", "degz": 5, "h3": null, "sol": "1 -21 891 -48027 2920779 -191143071 13146142941 -937446412581 68726414815947 -5150709386794839", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 21 134 352 436 83 7290 31482 45990 9864 -6174 -55404 -625482 -1835298 -2029536 -319626 2033910 11744190 28146690 32805000 15516765 -13286025 -53144100 -79716150 -53144100 -13286025", "new_number": "5.85", "id": 299, "operator_tex": "\\theta^4+x\\left(83\\theta^4+436\\theta^3+352\\theta^2+134\\theta+21\\right)-2 3^{2} x^{2}\\left(343\\theta^4-548\\theta^3-2555\\theta^2-1749\\theta-405\\right)-2 3^{4} x^{3}\\left(1973\\theta^4+12528\\theta^3+11329\\theta^2+3861\\theta+342\\right)+3^{8} 5 x^{4}\\left(473\\theta^4+1000\\theta^3+858\\theta^2+358\\theta+62\\right)-3^{12} 5^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-26 -14942/3", "discriminant": "5 1 83 -6174 -319626 15516765 -13286025", "aesz": "319", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "40a034330b9ad40ec865803f0a601932", "dim_h": null, "inst": " -26 -475/2 -14942/3 -244479/2 -3574404 -226112855/2 -3849559890 -274068834263/2 -15227020463156/3 -193449114452573", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(81z+1)(81z^2-92z-1)(-1+45z)^2", "discr_factors": "-13286025, z+1/81, (-1/45+z)^2, z^2-92/81*z-1/81", "dm_basis": null, "q": "0 1 50 2091 84062 3380745 137821152 5706038418 239835054246 10217160741870", "yuk": "1 -26 -1926 -134504 -7825254 -446800526 -24420324744 -1320399042296 -70161629396582 -3700165972681412", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/81","im":"0","approx_re":"-0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"46/81-13/81*13^(1/2)","im":"0","approx_re":"-0.010767","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/45","im":"0","approx_re":"0.0222222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"46/81+13/81*13^(1/2)","im":"0","approx_re":"1.14657","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -53273*X^4-98098*X^3-71555*X^2-22506*X-2662, 1248736*X^4+1373824*X^3-93484*X^2-295768*X-59532, -8191552*X^4-4101504*X^3-2319504*X^2-1258224*X-250272, 2048*(2*X+1)*(1964*X^3+3078*X^2+1853*X+419), -262144*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.86\" from ...", "degz": 5, "h3": "33", "sol": "1 22 2850 568300 138119170 37615727772 11031077174964 3407461875743640 1093860581057179650 361723380553923894220", "n_discr_factors": "3", "c3": "-276", "operator": "4 5 0 0 0 0 121 -2662 -22506 -71555 -98098 -53273 -59532 -295768 -93484 1373824 1248736 -250272 -1258224 -2319504 -4101504 -8191552 858112 5511168 13893632 16629760 8044544 -786432 -3670016 -6029312 -4194304 -1048576", "new_number": "5.86", "id": 300, "operator_tex": "11^{2} \\theta^4-11 x\\left(4843\\theta^4+8918\\theta^3+6505\\theta^2+2046\\theta+242\\right)+2^{2} x^{2}\\left(312184\\theta^4+343456\\theta^3-23371\\theta^2-73942\\theta-14883\\right)-2^{4} x^{3}\\left(511972\\theta^4+256344\\theta^3+144969\\theta^2+78639\\theta+15642\\right)+2^{11} x^{4}(2\\theta+1)(1964\\theta^3+3078\\theta^2+1853\\theta+419)-2^{18} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "741/11 138745", "discriminant": "5 121 -53273 1248736 -8191552 8044544 -1048576", "aesz": "320\n", "n_sing_complex": "0", "inst_int": "", "c2h": "6", "hash": "d19e7569ce62abdd5393977835e411a9", "dim_h": "6", "inst": " 741/11 22232/11 138745 157326644/11 19999995398/11 2909079079700/11 42234678016062 7222906721199284 14317861835506930871/11 2688992762246137303028/11", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z-1)(64z^2-416z+1)(-11+128z)^2", "discr_factors": "-1048576, z^2-13/2*z+1/64, z-1, (-11/128+z)^2", "dm_basis": null, "q": "0 1 -98 1903 -131400 -14622585 -2450519310 -444459362517 -84911071039168 -16907623125532026", "yuk": "1 741/11 178597/11 41208006/11 10069083813/11 2499999425491/11 628361122601062/11 159351440154602667/11 40679410663863451301/11 10437721278084593812965/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4-15/8*3^(1/2)","im":"0","approx_re":"0.002405","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/128","im":"0","approx_re":"0.0859375","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4+15/8*3^(1/2)","im":"0","approx_re":"6.497595","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[81*X^4, -1719*X^4-7758*X^3-6147*X^2-2268*X-324, -231200*X^4-794720*X^3-980288*X^2-517536*X-98208, -3392256*X^4-9179136*X^3-7076096*X^2-1783296*X-46080, -20480*(2*X+1)*(314*X^3+363*X^2+68*X-31), 1638400*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.87\" from ...", "degz": 5, "h3": "36", "sol": "1 4 132 4000 179620 8127504 412976256 21605895168 1184481569700 66548256071440", "n_discr_factors": "3", "c3": "-128", "operator": "4 5 0 0 0 0 81 -324 -2268 -6147 -7758 -1719 -98208 -517536 -980288 -794720 -231200 -46080 -1783296 -7076096 -9179136 -3392256 634880 -122880 -10219520 -21299200 -12861440 4915200 22937600 37683200 26214400 6553600", "new_number": "5.87", "id": 301, "operator_tex": "3^{4} \\theta^4-3^{2} x\\left(191\\theta^4+862\\theta^3+683\\theta^2+252\\theta+36\\right)-2^{5} x^{2}\\left(7225\\theta^4+24835\\theta^3+30634\\theta^2+16173\\theta+3069\\right)-2^{8} x^{3}\\left(13251\\theta^4+35856\\theta^3+27641\\theta^2+6966\\theta+180\\right)-2^{12} 5 x^{4}(2\\theta+1)(314\\theta^3+363\\theta^2+68\\theta-31)+2^{16} 5^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "35/9 3002/9", "discriminant": "5 81 -1719 -231200 -3392256 -12861440 6553600", "aesz": "321", "n_sing_complex": "0", "inst_int": "", "c2h": "84", "hash": "b786027c217dd5d5c5abac7b1ecc570b", "dim_h": "13", "inst": " 35/9 261/4 3002/9 126800/9 1727129/9 14907123/2 1476084167/9 55207321888/9 1554991360055/9 232053578385767/36", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(32z+1)(32z^2-71z+1)(9+80z)^2", "discr_factors": "6553600, z+1/32, z^2-71/32*z+1/32, (9/80+z)^2", "dm_basis": null, "q": "0 1 -12 -178 2664 -47355 -234392 -22549626 -420799504 -24839805918", "yuk": "1 35/9 4733/9 81089/9 8119933/9 71963720/3 14489809343/9 506296869316/9 9422052308863/3 1133588701561184/9", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-9/80","im":"0","approx_re":"-0.1125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"71/64-17/64*17^(1/2)","im":"0","approx_re":"0.014175","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"71/64+17/64*17^(1/2)","im":"0","approx_re":"2.204575","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[121*X^4, -19008*X^4-27456*X^3-20988*X^2-7260*X-968, 414208*X^4+151552*X^3-495712*X^2-413248*X-91520, -855040*X^4+9123840*X^3+12730560*X^2+6642240*X+1236400, -51200*(2*X+1)*(4*X+3)*(76*X^2+189*X+125), 2048000*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.88\" from ...", "degz": 5, "h3": null, "sol": "1 8 360 23120 1796200 155711808 14506352784 1421901486720 144742335103080 15170668907451200", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 121 -968 -7260 -20988 -27456 -19008 -91520 -413248 -495712 151552 414208 1236400 6642240 12730560 9123840 -855040 -19200000 -93030400 -159641600 -116326400 -31129600 92160000 442368000 745472000 524288000 131072000", "new_number": "5.88", "id": 302, "operator_tex": "11^{2} \\theta^4-2^{2} 11 x\\left(432\\theta^4+624\\theta^3+477\\theta^2+165\\theta+22\\right)+2^{5} x^{2}\\left(12944\\theta^4+4736\\theta^3-15491\\theta^2-12914\\theta-2860\\right)-2^{4} 5 x^{3}\\left(10688\\theta^4-114048\\theta^3-159132\\theta^2-83028\\theta-15455\\right)-2^{11} 5^{2} x^{4}(2\\theta+1)(4\\theta+3)(76\\theta^2+189\\theta+125)+2^{14} 5^{3} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "148/11 44108/11", "discriminant": "5 121 -19008 414208 -855040 -31129600 131072000", "aesz": "324", "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "7f84d776cf00ff399b20865542185f87", "dim_h": null, "inst": " 148/11 2044/11 44108/11 1459636/11 60212712/11 2841880156/11 13367497492 740544574348 43226693167388 28924430993344520/11", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(5120z^3-512z^2-128z+1)(-11+160z)^2", "discr_factors": "131072000, (-11/160+z)^2, z^3-1/10*z^2-1/40*z+1/5120", "dm_basis": null, "q": "0 1 -28 -46 -720 -186809 -9515448 -549365638 -33949943744 -2188151382601", "yuk": "1 148/11 1500 1191064/11 93433204/11 7526589148/11 613847321112/11 50435568037464/11 4170747136161140/11 346634852510475436/11", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/480*(4922+1110*I*111^(1/2))^(1/3)-17/15/(4922+1110*I*111^(1/2))^(1/3)+1/30+1/16*I*3^(1/2)*(1/30*(4922+1110*I*111^(1/2))^(1/3)-272/15/(4922+1110*I*111^(1/2))^(1/3))","im":"0","approx_re":"-0.120643","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/480*(4922+1110*I*111^(1/2))^(1/3)-17/15/(4922+1110*I*111^(1/2))^(1/3)+1/30-1/16*I*3^(1/2)*(1/30*(4922+1110*I*111^(1/2))^(1/3)-272/15/(4922+1110*I*111^(1/2))^(1/3))","im":"0","approx_re":"0.007599","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/160","im":"0","approx_re":"0.06875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/240*(4922+1110*I*111^(1/2))^(1/3)+34/15/(4922+1110*I*111^(1/2))^(1/3)+1/30","im":"0","approx_re":"0.213044","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -128*X^4-544*X^3-400*X^2-128*X-16, -22272*X^4-38400*X^3-8192*X^2+512*X+256, -827392*X^4-983040*X^3-864256*X^2-417792*X-77824, -196608*(2*X+1)*(22*X^3+45*X^2+38*X+12), -9437184*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.89\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1200 136960 19010320 2955407616 494633669376 87189633822720 15971078116216080 3013478085823279360", "n_discr_factors": "2", "c3": "-44", "operator": "4 5 0 0 0 0 1 -16 -128 -400 -544 -128 256 512 -8192 -38400 -22272 -77824 -417792 -864256 -983040 -827392 -2359296 -12189696 -23789568 -22020096 -8650752 -28311552 -132120576 -217055232 -150994944 -37748736", "new_number": "5.89", "id": 303, "operator_tex": "\\theta^4-2^{4} x\\left(8\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)-2^{8} x^{2}\\left(87\\theta^4+150\\theta^3+32\\theta^2-2\\theta-1\\right)-2^{12} x^{3}\\left(202\\theta^4+240\\theta^3+211\\theta^2+102\\theta+19\\right)-2^{16} 3 x^{4}(2\\theta+1)(22\\theta^3+45\\theta^2+38\\theta+12)-2^{20} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "48 25200", "discriminant": "5 1 -128 -22272 -827392 -8650752 -37748736", "aesz": "329", "n_sing_complex": "2", "inst_int": "", "c2h": "52", "hash": "8c526b3b825d5ad6a3d0fb83ee4e6059", "dim_h": "7", "inst": " 48 270 25200 968066 80892688 5836971062 522155519152 47398217590425 4636171366134912 468150494473792826", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16384z^3+3072z^2+224z-1)(1+48z)^2", "discr_factors": "-37748736, (1/48+z)^2, z^3+3/16*z^2+7/512*z-1/16384", "dm_basis": null, "q": "0 1 -64 1664 -68608 820656 -171802624 -6555458560 -1123846586368 -100669089912680", "yuk": "1 48 2208 680448 61958432 10111586048 1260786432000 179099343069184 24267887468256032 3379768925913031296", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"-1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"-0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(189+33*33^(1/2))^(1/3)+1/32/(189+33*33^(1/2))^(1/3)-1/16","im":"1/32*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.095858","approx_im":"0.072741","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48","im":"0","approx_re":"-0.0208333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(189+33*33^(1/2))^(1/3)-1/16/(189+33*33^(1/2))^(1/3)-1/16","im":"0","approx_re":"0.004215","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2304*X^4-2880*X^3-2292*X^2-852*X-120, 2011392*X^4+4561920*X^3+4980096*X^2+2588544*X+455040, -842047488*X^4-2579890176*X^3-3289559040*X^2-1872211968*X-341729280, 170272751616*X^4+619173642240*X^3+840184233984*X^2+468680048640*X+83607552000, -1486016741376*(X+1)^2*(3*X+1)*(3*X+5)]", "text": "This is operator \"5.8\" from ...", "degz": 5, "h3": null, "sol": "1 120 34920 13157760 5790070440 2866877133120 1562496801465600 920528890348953600 576774234149057029800 379043061747351173515200", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 1 -120 -852 -2292 -2880 -2304 455040 2588544 4980096 4561920 2011392 -341729280 -1872211968 -3289559040 -2579890176 -842047488 83607552000 468680048640 840184233984 619173642240 170272751616 -7430083706880 -41608468758528 -74300837068800 -53496602689536 -13374150672384", "new_number": "5.8", "id": 304, "operator_tex": "\\theta^4-2^{2} 3 x\\left(192\\theta^4+240\\theta^3+191\\theta^2+71\\theta+10\\right)+2^{7} 3^{2} x^{2}\\left(1746\\theta^4+3960\\theta^3+4323\\theta^2+2247\\theta+395\\right)-2^{12} 3^{4} x^{3}\\left(2538\\theta^4+7776\\theta^3+9915\\theta^2+5643\\theta+1030\\right)+2^{17} 3^{6} x^{4}\\left(1782\\theta^4+6480\\theta^3+8793\\theta^2+4905\\theta+875\\right)-2^{23} 3^{11} x^{5}(\\theta+1)^2(3\\theta+1)(3\\theta+5)", "superseek": "84 1522388/3", "discriminant": "5 1 -2304 2011392 -842047488 170272751616 -13374150672384", "aesz": "", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f4b2a154823e983e64682b48f6254a15", "dim_h": null, "inst": " 84 9210 1522388/3 120348978 19186016160 14337645775418/3 1105086275262876 300135253167886218 244741945783423164752/3 23794866517166874380880", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+864z)(432z-1)^2(288z-1)^2", "discr_factors": "-13374150672384, (z-1/288)^2, -1/864+z, (z-1/432)^2", "dm_basis": null, "q": "0 1 -372 112734 -32614288 8813239341 -2352202637400 603766372001426 -155516566454839104 38705915538575348742", "yuk": "1 84 73764 13701576 7702408356 2398252020084 1032310509605352 379044592415166552 153669249629660151972 59472292825371842736312", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/864","im":"0","approx_re":"0.00115740740741","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1/6","5/6","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/288","im":"0","approx_re":"0.00347222222222","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/3","1","1","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 1792*X^4-1024*X^3-512*X^2+16, 917504*X^4-1048576*X^3+49152*X^2-163840*X-65536, 33554432*X^4-402653184*X^3-457179136*X^2-276824064*X-57671680, -1610612736*(2*X+1)*(10*X+7)*(2*X^2+4*X+3), -2473901162496*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "B-Incarnation as double octic D.O.20\n", "degz": 5, "h3": "16", "sol": "1 -16 4368 -344320 107445520 -12148367616 3860075847936 -516712812515328 164039018022182160 -24277289247356104960", "n_discr_factors": "3", "c3": "320", "operator": "4 5 0 0 0 0 1 16 0 -512 -1024 1792 -65536 -163840 49152 -1048576 917504 -57671680 -276824064 -457179136 -402653184 33554432 -33822867456 -161061273600 -273804165120 -206158430208 -64424509440 -7421703487488 -34634616274944 -56899726737408 -39582418599936 -9895604649984", "new_number": "5.90", "id": 305, "operator_tex": "\\theta^4+2^{4} x\\left(112\\theta^4-64\\theta^3-32\\theta^2+1\\right)+2^{14} x^{2}\\left(56\\theta^4-64\\theta^3+3\\theta^2-10\\theta-4\\right)+2^{20} x^{3}\\left(32\\theta^4-384\\theta^3-436\\theta^2-264\\theta-55\\right)-2^{29} 3 x^{4}(2\\theta+1)(10\\theta+7)(2\\theta^2+4\\theta+3)-2^{38} 3^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "352 3284448", "discriminant": "5 1 1792 917504 33554432 -64424509440 -9895604649984", "aesz": "330", "n_sing_complex": "0", "inst_int": "", "c2h": "16", "hash": "ba5b66d5fe92237e6416a117563571e9", "dim_h": "4", "inst": " 352 -23368 3284448 -578330224 120252731680 -27415759432616 6701726151914080 -1720803298688523376 459238567520109337856 -126317379213699482253720", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+256z)(256z+1)^2(768z+1)^2", "discr_factors": "-9895604649984, (z+1/256)^2, (z+1/768)^2, -1/256+z", "dm_basis": null, "q": "0 1 -64 1632 -436224 141710896 -43304871936 12756718699008 -3828584306835456 1163560985061276312", "yuk": "1 352 -186592 88680448 -37013320928 15031591460352 -5921803948951552 2298692070106529792 -881051288965537289440 334784915722159795977472", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768","im":"0","approx_re":"-0.00130208333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 288*X^4-768*X^3-528*X^2-144*X-16, -44032*X^4-262144*X^3-64000*X^2-23040*X-5120, -18644992*X^4-33423360*X^3-30851072*X^2-14401536*X-2572288, -3670016*(2*X+1)*(186*X^3+375*X^2+317*X+100), -6576668672*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.91\" from ...", "degz": 5, "h3": "16", "sol": "1 16 1488 183040 27611920 4644009216 840155264256 159984411045888 31647762945461520 6447385477360072960", "n_discr_factors": "4", "c3": "68", "operator": "4 5 0 0 0 0 1 -16 -144 -528 -768 288 -5120 -23040 -64000 -262144 -44032 -2572288 -14401536 -30851072 -33423360 -18644992 -367001600 -1897398272 -3703046144 -3435134976 -1365245952 -19730006016 -92073361408 -151263379456 -105226698752 -26306674688", "new_number": "5.91", "id": 306, "operator_tex": "\\theta^4+2^{4} x\\left(18\\theta^4-48\\theta^3-33\\theta^2-9\\theta-1\\right)-2^{9} x^{2}\\left(86\\theta^4+512\\theta^3+125\\theta^2+45\\theta+10\\right)-2^{14} x^{3}\\left(1138\\theta^4+2040\\theta^3+1883\\theta^2+879\\theta+157\\right)-2^{19} 7 x^{4}(2\\theta+1)(186\\theta^3+375\\theta^2+317\\theta+100)-2^{27} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "112 186800", "discriminant": "5 1 288 -44032 -18644992 -1365245952 -26306674688", "aesz": "331", "n_sing_complex": "0", "inst_int": "", "c2h": "40", "hash": "a30093d8c1ab2f66122cef8935b79efb", "dim_h": "6", "inst": " 112 -2242 186800 -11675813 1250599376 -109453519578 12996262564592 -1335165142501083 167689997418831488 -18917764674198834614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(256z-1)(64z+1)(1+224z)^2", "discr_factors": "-26306674688, z-1/256, (1/224+z)^2, z+1/64, z+1/32", "dm_basis": null, "q": "0 1 -80 4224 -353280 32901040 -3889583616 442866134016 -57164706250752 7080975365853336", "yuk": "1 112 -17824 5043712 -747269856 156324922112 -23641955203072 4457718059655168 -683604553707824352 122246008118333198464", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/224","im":"0","approx_re":"-0.00446428571429","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 804*X^4+1464*X^3+1200*X^2+468*X+72, 37504*X^4+137536*X^3+186592*X^2+106080*X+21696, 773376*X^4+4073472*X^3+7504384*X^2+5356800*X+1261056, 2048*(2*X+1)*(826*X^3+3543*X^2+4321*X+1594), 65536*(2*X+1)*(4*X+3)*(4*X+5)*(2*X+3)]", "text": "This is operator \"5.92\" from ...", "degz": 5, "h3": null, "sol": "1 -8 72 640 -51800 931392 23595264 -2098077696 59919785640 95968100800", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 9 72 468 1200 1464 804 21696 106080 186592 137536 37504 1261056 5356800 7504384 4073472 773376 3264512 15378432 24954880 16203776 3383296 2949120 14155776 23855104 16777216 4194304", "new_number": "5.92", "id": 307, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(67\\theta^4+122\\theta^3+100\\theta^2+39\\theta+6\\right)+2^{5} x^{2}\\left(1172\\theta^4+4298\\theta^3+5831\\theta^2+3315\\theta+678\\right)+2^{8} x^{3}\\left(3021\\theta^4+15912\\theta^3+29314\\theta^2+20925\\theta+4926\\right)+2^{11} x^{4}(2\\theta+1)(826\\theta^3+3543\\theta^2+4321\\theta+1594)+2^{16} x^{5}(2\\theta+1)(4\\theta+3)(4\\theta+5)(2\\theta+3)", "superseek": "-16/3 208/3", "discriminant": "5 9 804 37504 773376 3383296 4194304", "aesz": "332", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f788b099648b78746af9d38e85874401", "dim_h": null, "inst": " -16/3 -257/6 208/3 10444/3 -116608/3 -3766507/6 16797680 862676923/6 -8221703360 -32108836676/3", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(32z+1)(2048z^2+52z+1)(8z+3)^2", "discr_factors": "4194304, (z+3/8)^2, z^2+13/512*z+1/2048, z+1/32", "dm_basis": null, "q": "0 1 20 502 10160 177341 3262552 59691418 942027712 13823359702", "yuk": "1 -16/3 -348 5600/3 667372/3 -4858672 -135592728 17284812704/3 220845959660/3 -17980865242720/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/8","im":"0","approx_re":"-0.375","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/1024","im":"-7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"-0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/1024","im":"7/1024*7^(1/2)","approx_re":"-0.0126953125","approx_im":"0.018086","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","3/4","5/4","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X^2*(71*X^2-2*X-1), 3696*X^4+8016*X^3+11064*X^2+5952*X+1152, 576*(5*X+3)*(31*X^3+39*X^2-25*X-21), 41472*(2*X+1)*(2*X^3-33*X^2-56*X-24), -2985984*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.93\" from ...", "degz": 5, "h3": "144", "sol": "1 0 -72 1440 22680 -1814400 17186400 1816214400 -68448580200 -837073036800", "n_discr_factors": "3", "c3": "-400", "operator": "4 5 0 0 0 0 1 0 0 -1 -2 71 1152 5952 11064 8016 3696 -36288 -103680 -4608 165888 89280 -995328 -4313088 -6013440 -2654208 165888 -8957952 -41803776 -68677632 -47775744 -11943936", "new_number": "5.93", "id": 308, "operator_tex": "\\theta^4+x\\theta^2(71\\theta^2-2\\theta-1)+2^{3} 3 x^{2}\\left(154\\theta^4+334\\theta^3+461\\theta^2+248\\theta+48\\right)+2^{6} 3^{2} x^{3}(5\\theta+3)(31\\theta^3+39\\theta^2-25\\theta-21)+2^{9} 3^{4} x^{4}(2\\theta+1)(2\\theta^3-33\\theta^2-56\\theta-24)-2^{12} 3^{6} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "1 2668/3", "discriminant": "5 1 71 3696 89280 165888 -11943936", "aesz": "333", "n_sing_complex": "2", "inst_int": "", "c2h": "192", "hash": "dc274781605ee4262d8745e3fa3a8057", "dim_h": "40", "inst": " 1 -66 2668/3 -2774 -167786 9867394/3 35718934 -2860043462 114038086499/3 1286730194502", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(9z-1)(2304z^2+32z+1)(1+24z)^2", "discr_factors": "-11943936, (1/24+z)^2, z-1/9, z^2+1/72*z+1/2304", "dm_basis": null, "q": "0 1 0 228 -4496 59634 -468000 1166736 -336121632 19409925015", "yuk": "1 1 -527 24013 -178063 -20973249 710475853 12251594363 -1464342430607 27711255043270", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"-1/72*2^(1/2)","approx_re":"-0.00694444444444","approx_im":"-0.019642","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144","im":"1/72*2^(1/2)","approx_re":"-0.00694444444444","approx_im":"0.019642","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -498*X^4-960*X^3-813*X^2-333*X-54, 11155*X^4+42652*X^3+60463*X^2+36876*X+8172, -42345*X^4-210762*X^3-379953*X^2-280368*X-71388, 42168*X^4+196836*X^3+306972*X^2+197304*X+44928, -20*(5*X+3)*(5*X+4)*(5*X+6)*(5*X+7)]", "text": "This is operator \"5.94\" from ...", "degz": 5, "h3": null, "sol": "1 6 54 240 -9450 -415044 -10435824 -171870336 -635559210 82047837300", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 9 -54 -333 -813 -960 -498 8172 36876 60463 42652 11155 -71388 -280368 -379953 -210762 -42345 44928 197304 306972 196836 42168 -10080 -45000 -72500 -50000 -12500", "new_number": "5.94", "id": 309, "operator_tex": "3^{2} \\theta^4-3 x\\left(166\\theta^4+320\\theta^3+271\\theta^2+111\\theta+18\\right)+x^{2}\\left(11155\\theta^4+42652\\theta^3+60463\\theta^2+36876\\theta+8172\\right)-3^{2} x^{3}\\left(4705\\theta^4+23418\\theta^3+42217\\theta^2+31152\\theta+7932\\right)+2^{2} 3 x^{4}\\left(3514\\theta^4+16403\\theta^3+25581\\theta^2+16442\\theta+3744\\right)-2^{2} 5 x^{5}(5\\theta+3)(5\\theta+4)(5\\theta+6)(5\\theta+7)", "superseek": "7/3 -4843/81", "discriminant": "5 9 -498 11155 -42345 42168 -12500", "aesz": "334", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "1ab1dce2847b14dd89a8f8f48ddc7214", "dim_h": null, "inst": " 7/3 -79/12 -4843/81 -1058/3 3620/3 15985411/324 1492751/3 -438602 -2468083204/27 -1326423285", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(3125z^3-1167z^2+54z-1)(2z-3)^2", "discr_factors": "-12500, (z-3/2)^2, z^3-1167/3125*z^2+54/3125*z-1/3125", "dm_basis": null, "q": "0 1 -13 171 -1495 14538 -135333 925799 -9220405 91492092", "yuk": "1 7/3 -151/3 -1612 -22621 452507/3 10655276 170671200 -224586845 -66638248120", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12500*(247398452+9487500*69^(1/2))^(1/3)-95071/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"-1/2*3^(1/2)*(1/6250*(247398452+9487500*69^(1/2))^(1/3)-190142/3125/(247398452+9487500*69^(1/2))^(1/3))","approx_re":"0.025215","approx_im":"-0.018839","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12500*(247398452+9487500*69^(1/2))^(1/3)-95071/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"1/2*3^(1/2)*(1/6250*(247398452+9487500*69^(1/2))^(1/3)-190142/3125/(247398452+9487500*69^(1/2))^(1/3))","approx_re":"0.025215","approx_im":"0.018839","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6250*(247398452+9487500*69^(1/2))^(1/3)+190142/3125/(247398452+9487500*69^(1/2))^(1/3)+389/3125","im":"0","approx_re":"0.32301","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/2","im":"0","approx_re":"1.5","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/5","4/5","6/5","7/5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, 3336*X^4+5088*X^3+3732*X^2+1188*X+144, 166720*X^4+126208*X^3-84320*X^2-77856*X-15744, 2096640*X^4-903168*X^3-1021696*X^2-149760*X+29184, -22528*(2*X+1)*(86*X^3+57*X^2-39*X-32), 3964928*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.95\" from ...", "degz": 5, "h3": null, "sol": "1 -16 1608 -243520 44810920 -9230006016 2046125469696 -477645744795648 115857379593057960 -28945225356974143360", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 9 144 1188 3732 5088 3336 -15744 -77856 -84320 126208 166720 29184 -149760 -1021696 -903168 2096640 720896 2320384 473088 -4505600 -3874816 11894784 55508992 91193344 63438848 15859712", "new_number": "5.95", "id": 310, "operator_tex": "3^{2} \\theta^4+2^{2} 3 x\\left(278\\theta^4+424\\theta^3+311\\theta^2+99\\theta+12\\right)+2^{5} x^{2}\\left(5210\\theta^4+3944\\theta^3-2635\\theta^2-2433\\theta-492\\right)+2^{8} x^{3}\\left(8190\\theta^4-3528\\theta^3-3991\\theta^2-585\\theta+114\\right)-2^{11} 11 x^{4}(2\\theta+1)(86\\theta^3+57\\theta^2-39\\theta-32)+2^{15} 11^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-140/3 -66092", "discriminant": "5 9 3336 166720 2096640 -3874816 15859712", "aesz": "338", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "eb4f6d6e59fafa4e794fb664dbdeab3f", "dim_h": null, "inst": " -140/3 1293 -66092 5236719 -1553321056/3 58548822335 -7268612562732 966434221368097 -135410895645089584 59321459418008740504/3", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(2048z^3-640z^2+312z+1)(3+88z)^2", "discr_factors": "15859712, (3/88+z)^2, z^3-5/16*z^2+39/256*z+1/2048", "dm_basis": null, "q": "0 1 68 190 37328 -5971987 758665656 -105860220238 15709081338944 -2429829970072890", "yuk": "1 -140/3 30892/3 -5353592/3 1005480940/3 -194165132140/3 37939631550520/3 -7479402327051368/3 1484442965026877932/3 -296143628775816273800/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/88","im":"0","approx_re":"-0.0340909090909","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(6236+708*177^(1/2))^(1/3)+23/6/(6236+708*177^(1/2))^(1/3)+5/48","im":"0","approx_re":"-0.003184","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(6236+708*177^(1/2))^(1/3)-23/12/(6236+708*177^(1/2))^(1/3)+5/48","im":"1/16*3^(1/2)*(-1/12*(6236+708*177^(1/2))^(1/3)-92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"0.157842","approx_im":"-0.358378","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(6236+708*177^(1/2))^(1/3)-23/12/(6236+708*177^(1/2))^(1/3)+5/48","im":"-1/16*3^(1/2)*(-1/12*(6236+708*177^(1/2))^(1/3)-92/3/(6236+708*177^(1/2))^(1/3))","approx_re":"0.157842","approx_im":"0.358378","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -40*X^4-200*X^3-156*X^2-56*X-8, 2832*X^4+18528*X^3+32112*X^2+18528*X+3680, 137984*X^4+344064*X^3-76800*X^2-273408*X-87040, 5120*(2*X+1)*(4*X^3-642*X^2-1002*X-385), -614400*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.96\" from ...", "degz": 5, "h3": "128", "sol": "1 8 0 -6400 -249200 1185408 625895424 28703600640 -241931804400 -99245049904000", "n_discr_factors": "2", "c3": "-296", "operator": "4 5 0 0 0 0 1 -8 -56 -156 -200 -40 3680 18528 32112 18528 2832 -87040 -273408 -76800 344064 137984 -1971200 -9072640 -13547520 -6553600 40960 -14745600 -72499200 -124723200 -88473600 -22118400", "new_number": "5.96", "id": 311, "operator_tex": "\\theta^4-2^{2} x\\left(10\\theta^4+50\\theta^3+39\\theta^2+14\\theta+2\\right)+2^{4} x^{2}\\left(177\\theta^4+1158\\theta^3+2007\\theta^2+1158\\theta+230\\right)+2^{8} x^{3}\\left(539\\theta^4+1344\\theta^3-300\\theta^2-1068\\theta-340\\right)+2^{10} 5 x^{4}(2\\theta+1)(4\\theta^3-642\\theta^2-1002\\theta-385)-2^{13} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "12 28", "discriminant": "5 1 -40 2832 137984 40960 -22118400", "aesz": "339", "n_sing_complex": "2", "inst_int": "", "c2h": "176", "hash": "41593acc689cf76c174442db98218947", "dim_h": "36", "inst": " 12 -339/2 28 27639/2 634692 -22363927/2 -507858132 10054325355/4 625707488416 8830606337727/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(55296z^3-5632z^2+80z-1)(1+20z)^2", "discr_factors": "-22118400, z^3-11/108*z^2+5/3456*z-1/55296, (1/20+z)^2", "dm_basis": null, "q": "0 1 -24 960 -25088 629904 -18382080 525048832 -11477385216 269713716504", "yuk": "1 12 -1344 768 883104 79336512 -2415304704 -174195339264 1286954528544 456140759056032", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/20","im":"0","approx_re":"-0.05","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2592*(51407+4617*57^(1/2))^(1/3)-563/1296/(51407+4617*57^(1/2))^(1/3)+11/324","im":"-1/16*3^(1/2)*(1/162*(51407+4617*57^(1/2))^(1/3)-563/81/(51407+4617*57^(1/2))^(1/3))","approx_re":"0.007072","approx_im":"-0.012497","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2592*(51407+4617*57^(1/2))^(1/3)-563/1296/(51407+4617*57^(1/2))^(1/3)+11/324","im":"1/16*3^(1/2)*(1/162*(51407+4617*57^(1/2))^(1/3)-563/81/(51407+4617*57^(1/2))^(1/3))","approx_re":"0.007072","approx_im":"0.012497","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1296*(51407+4617*57^(1/2))^(1/3)+563/648/(51407+4617*57^(1/2))^(1/3)+11/324","im":"0","approx_re":"0.087707","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -1488*X^4-12768*X^3-9228*X^2-2844*X-360, -1035776*X^4-748544*X^3+2838400*X^2+1775232*X+352128, -22167552*X^4+378372096*X^3+276926464*X^2+63959040*X+393216, 2228224*(2*X+1)*(2242*X^3+1419*X^2-1047*X-733), -7272923136*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.97\" from ...", "degz": 5, "h3": null, "sol": "1 40 4968 976000 240389800 67148706240 20301830841600 6481911462174720 2153831766691948200 737890250899739080000", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 9 -360 -2844 -9228 -12768 -1488 352128 1775232 2838400 -748544 -1035776 393216 63959040 276926464 378372096 -22167552 -1633288192 -5599526912 -1504051200 11319377920 9991356416 -174550155264 -858204930048 -1476403396608 -1047300931584 -261825232896", "new_number": "5.97", "id": 312, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(124\\theta^4+1064\\theta^3+769\\theta^2+237\\theta+30\\right)-2^{7} x^{2}\\left(8092\\theta^4+5848\\theta^3-22175\\theta^2-13869\\theta-2751\\right)-2^{12} x^{3}\\left(5412\\theta^4-92376\\theta^3-67609\\theta^2-15615\\theta-96\\right)+2^{17} 17 x^{4}(2\\theta+1)(2242\\theta^3+1419\\theta^2-1047\\theta-733)-2^{23} 3 17^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "484/3 819404/3", "discriminant": "5 9 -1488 -1035776 -22167552 9991356416 -261825232896", "aesz": "340", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2775f87d96d6e9710faad170157dd033", "dim_h": null, "inst": " 484/3 -2053 819404/3 -14598094/3 5541353504/3 56514106075/3 67362931959500/3 1327385409465790 403696236338416400 43951663480396291480", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(432z-1)(64z-1)(32z-1)(3+544z)^2", "discr_factors": "-261825232896, z-1/32, z-1/64, z-1/432, (3/544+z)^2", "dm_basis": null, "q": "0 1 -156 17886 -2257456 267596589 -34408587144 4080266552082 -542300537850816 62701101236389638", "yuk": "1 484/3 -48788/3 22124392/3 -311442268 692669188484/3 12207068987320/3 7701828554036328 679621329335042212 882883668872138791192/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/544","im":"0","approx_re":"-0.00551470588235","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -15821*X^4-19162*X^3-14651*X^2-5070*X-676, -82144*X^4-1343296*X^3-2272384*X^2-1337856*X-265200, 9119488*X^4+36162048*X^3+38695360*X^2+17269824*X+2820480, -10240*(2*X+1)*(4324*X^3+10698*X^2+9903*X+3110), 4915200*(2*X+1)*(3*X+2)*(3*X+4)*(2*X+3)]", "text": "This is operator \"5.98\" from ...", "degz": 5, "h3": null, "sol": "1 4 180 7600 433300 26523504 1760408496 122456917440 8849508138900 658069964266000", "n_discr_factors": "3", "c3": null, "operator": "4 5 0 0 0 0 169 -676 -5070 -14651 -19162 -15821 -265200 -1337856 -2272384 -1343296 -82144 2820480 17269824 38695360 36162048 9119488 -31846400 -165099520 -312360960 -263372800 -88555520 117964800 579993600 997785600 707788800 176947200", "new_number": "5.98", "id": 313, "operator_tex": "13^{2} \\theta^4-13 x\\left(1217\\theta^4+1474\\theta^3+1127\\theta^2+390\\theta+52\\right)-2^{4} x^{2}\\left(5134\\theta^4+83956\\theta^3+142024\\theta^2+83616\\theta+16575\\right)+2^{6} x^{3}\\left(142492\\theta^4+565032\\theta^3+604615\\theta^2+269841\\theta+44070\\right)-2^{11} 5 x^{4}(2\\theta+1)(4324\\theta^3+10698\\theta^2+9903\\theta+3110)+2^{16} 3 5^{2} x^{5}(2\\theta+1)(3\\theta+2)(3\\theta+4)(2\\theta+3)", "superseek": "87/13 21589/13", "discriminant": "5 169 -15821 -82144 9119488 -88555520 176947200", "aesz": "341", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "eed12a307d671fcf681b9d108c5e4c9e", "dim_h": null, "inst": " 87/13 1532/13 21589/13 589110/13 17749920/13 652121660/13 25606888578/13 1088305023982/13 48500571351604/13 2257264405232620/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(27z+1)(256z^2-96z+1)(-13+160z)^2", "discr_factors": "176947200, z+1/27, z^2-3/8*z+1/256, (-13/160+z)^2", "dm_basis": null, "q": "0 1 -14 -301 736 -52635 -3014442 -134862035 -6142738464 -304565522449", "yuk": "1 87/13 12343/13 582990/13 37715383/13 2218740087/13 140858873806/13 8783162782341/13 42862477691859 2719762808915562", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16-1/8*2^(1/2)","im":"0","approx_re":"0.010723","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/160","im":"0","approx_re":"0.08125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16+1/8*2^(1/2)","im":"0","approx_re":"0.364277","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","2/3","4/3","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 100*X^4+128*X^3+104*X^2+40*X+6, 4560*X^4+11904*X^3+13992*X^2+7344*X+1404, 77040*X^4+209952*X^3+203436*X^2+84564*X+12960, 11664*(2*X+1)*(20*X^3+42*X^2+35*X+11), 139968*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.99\" from ...", "degz": 5, "h3": null, "sol": "1 -6 54 660 -69930 2796444 -65688084 -46424664 97284342870 -5705518249860", "n_discr_factors": "2", "c3": null, "operator": "4 5 0 0 0 0 1 6 40 104 128 100 1404 7344 13992 11904 4560 12960 84564 203436 209952 77040 128304 664848 1306368 1213056 466560 419904 1959552 3219264 2239488 559872", "new_number": "5.99", "id": 314, "operator_tex": "\\theta^4+2 x\\left(50\\theta^4+64\\theta^3+52\\theta^2+20\\theta+3\\right)+2^{2} 3 x^{2}\\left(380\\theta^4+992\\theta^3+1166\\theta^2+612\\theta+117\\right)+2^{2} 3^{2} x^{3}\\left(2140\\theta^4+5832\\theta^3+5651\\theta^2+2349\\theta+360\\right)+2^{4} 3^{6} x^{4}(2\\theta+1)(20\\theta^3+42\\theta^2+35\\theta+11)+2^{6} 3^{7} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-4 3856/9", "discriminant": "5 1 100 4560 77040 466560 559872", "aesz": "342", "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "009a00efdd065ef9ea58db999d777786", "dim_h": null, "inst": " -4 -16 3856/9 -3864 -20784 14475452/9 -28910712 -24553744 139629499360/9 -403760655128", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(3888z^3+2592z^2+76z+1)(1+12z)^2", "discr_factors": "559872, (1/12+z)^2, z^3+2/3*z^2+19/972*z+1/3888", "dm_basis": null, "q": "0 1 16 282 1588 21075 266784 -4432740 59940912 1797766461", "yuk": "1 -4 -132 11564 -247428 -2598004 347422284 -9916374220 -12571764356 11309989459724", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-5/108*10^(2/3)-5/54*10^(1/3)-2/9","im":"0","approx_re":"-0.636595","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"5/216*10^(2/3)+5/108*10^(1/3)-2/9","im":"1/4*3^(1/2)*(-5/54*10^(2/3)+5/27*10^(1/3))","approx_re":"-0.015036","approx_im":"-0.01334","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/216*10^(2/3)+5/108*10^(1/3)-2/9","im":"-1/4*3^(1/2)*(-5/54*10^(2/3)+5/27*10^(1/3))","approx_re":"-0.015036","approx_im":"0.01334","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -352*X^4-128*X^3-144*X^2-80*X-16, 48128*X^4+45056*X^3+49664*X^2+23040*X+4096, -3178496*X^4-5505024*X^3-6078464*X^2-3194880*X-671744, 100663296*X^4+276824064*X^3+341311488*X^2+202899456*X+47185920, -1207959552*(X+1)^4]", "text": "There is a second MUM-point hiding at infinity, corresponding to Operator...", "degz": 5, "h3": "128", "sol": "1 16 464 17152 725776 33449216 1633531136 83137654784 4362766699792 234378319042816", "n_discr_factors": "3", "c3": "544", "operator": "4 5 0 0 0 0 1 -16 -80 -144 -128 -352 4096 23040 49664 45056 48128 -671744 -3194880 -6078464 -5505024 -3178496 47185920 202899456 341311488 276824064 100663296 -1207959552 -4831838208 -7247757312 -4831838208 -1207959552", "new_number": "5.9", "id": 315, "operator_tex": "\\theta^4-2^{4} x\\left(22\\theta^4+8\\theta^3+9\\theta^2+5\\theta+1\\right)+2^{9} x^{2}\\left(94\\theta^4+88\\theta^3+97\\theta^2+45\\theta+8\\right)-2^{14} x^{3}\\left(194\\theta^4+336\\theta^3+371\\theta^2+195\\theta+41\\right)+2^{19} 3 x^{4}\\left(64\\theta^4+176\\theta^3+217\\theta^2+129\\theta+30\\right)-2^{27} 3^{2} x^{5}\\left((\\theta+1)^4\\right)", "superseek": "-16 -3280", "discriminant": "5 1 -352 48128 -3178496 100663296 -1207959552", "aesz": "56", "n_sing_complex": "0", "inst_int": "", "c2h": "-64", "hash": "58a7f24bf18cb98b526885069667f9f0", "dim_h": "16", "inst": " -16 -178 -3280 -76197 -2046896 -60450314 -1908455824 -63296186075 -2180416654720 -77402940045830", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+32z)(96z-1)^2(64z-1)^2", "discr_factors": "-1207959552, -1/32+z, (z-1/64)^2, (z-1/96)^2", "dm_basis": null, "q": "0 1 -16 128 -1024 1968 -48640 781312 74416128 4319629464", "yuk": "1 -16 -1440 -88576 -4878048 -255862016 -13057357824 -654600347648 -32407652148448 -1589523741379456", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96","im":"0","approx_re":"0.0104166666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}