{"count": 40, "status":"OK", "data":[{"pols": "[X^4, -254*X^4-508*X^3-391*X^2-137*X-18, 4657*X^4+18628*X^3+27265*X^2+17274*X+3672, -35040*X^4-210240*X^3-441996*X^2-379908*X-98820, 132192*X^4+1057536*X^3+2882952*X^2+3071520*X+907200, -3888*(16*X^2+80*X+35)*(2*X+5)^2, 11664*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.10\" from ...", "degz": 6, "h3": null, "sol": "1 18 1242 138420 18954810 2912817348 482187783924 84090566318616 15241308549448410 2845719850252567860", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -137 -391 -508 -254 3672 17274 27265 18628 4657 -98820 -379908 -441996 -210240 -35040 907200 3071520 2882952 1057536 132192 -3402000 -10497600 -8320320 -2488320 -248832 4490640 12877056 8864640 2239488 186624", "new_number": "6.10", "id": 393, "operator_tex": "\\theta^4-x\\left(254\\theta^4+508\\theta^3+391\\theta^2+137\\theta+18\\right)+x^{2}\\left(4657\\theta^4+18628\\theta^3+27265\\theta^2+17274\\theta+3672\\right)-2^{2} 3 x^{3}\\left(2920\\theta^4+17520\\theta^3+36833\\theta^2+31659\\theta+8235\\right)+2^{3} 3^{4} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{4} 3^{5} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{4} 3^{6} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "23 16723", "discriminant": "6 1 -254 4657 -35040 132192 -248832 186624", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "23025d094839fb9d8e76076bd9a0bfa7", "dim_h": null, "inst": " 23 462 16723 923487 61874817 4758408877 401098941798 36204461778171 10327916473641656/3 341129215790017190", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(3z-1)(3888z^3-1944z^2+243z-1)(4z-1)^2", "discr_factors": "186624, (z-1/4)^2, z-1/3, z^3-1/2*z^2+1/16*z-1/3888", "dm_basis": null, "q": "0 1 -65 1866 -78319 1282394 -163657590 -5524246967 -926696603057 -84091401336996", "yuk": "1 23 3719 451544 59106887 7734352148 1027816772672 137576937036737 18536684489530439 2509683703095373952", "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":"-1/72*(-21+12*I*2^(1/2))^(1/3)-1/8/(-21+12*I*2^(1/2))^(1/3)+1/6+1/6*I*3^(1/2)*(1/12*(-21+12*I*2^(1/2))^(1/3)-3/4/(-21+12*I*2^(1/2))^(1/3))","im":"0","approx_re":"0.004259","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(-21+12*I*2^(1/2))^(1/3)-1/8/(-21+12*I*2^(1/2))^(1/3)+1/6-1/6*I*3^(1/2)*(1/12*(-21+12*I*2^(1/2))^(1/3)-3/4/(-21+12*I*2^(1/2))^(1/3))","im":"0","approx_re":"0.215449","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*(-21+12*I*2^(1/2))^(1/3)+1/4/(-21+12*I*2^(1/2))^(1/3)+1/6","im":"0","approx_re":"0.280292","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 71680*X^4-96256*X^3-58112*X^2-9984*X-912, 925892608*X^4-3902799872*X^3+1442054144*X^2+353632256*X+48218112, -14186276978688*X^4-3208340570112*X^3-2304786825216*X^2-328564998144*X-23404216320, -19326115881418752*X^4-26480638043357184*X^3-2063233569521664*X^2+9856022231384064*X+3335591861157888, 98797716825440256*(X+1)*(808*X^3+2352*X^2+2099*X+582), -11836756857422346190848*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.11\" from ...", "degz": 6, "h3": null, "sol": "1 912 2320656 9507313920 49468269165840 293281201741715712 1885450216352222978304 12812100088579487192420352 90659351406340944375085800720 661670046055136396065345638263040", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -912 -9984 -58112 -96256 71680 48218112 353632256 1442054144 -3902799872 925892608 -23404216320 -328564998144 -2304786825216 -3208340570112 -14186276978688 3335591861157888 9856022231384064 -2063233569521664 -26480638043357184 -19326115881418752 57500271192406228992 264876678809005326336 439748637590034579456 312200785168391208960 79828555194955726848 -118367568574223461908480 -461633517439471501443072 -580001086013694963351552 -284082164578136308580352 -47347027429689384763392", "new_number": "6.11", "id": 394, "operator_tex": "\\theta^4+2^{4} x\\left(4480\\theta^4-6016\\theta^3-3632\\theta^2-624\\theta-57\\right)+2^{14} x^{2}\\left(56512\\theta^4-238208\\theta^3+88016\\theta^2+21584\\theta+2943\\right)-2^{24} 3^{2} x^{3}\\left(93952\\theta^4+21248\\theta^3+15264\\theta^2+2176\\theta+155\\right)-2^{34} 3^{3} x^{4}\\left(41664\\theta^4+57088\\theta^3+4448\\theta^2-21248\\theta-7191\\right)+2^{48} 3^{3} 13 x^{5}(\\theta+1)(808\\theta^3+2352\\theta^2+2099\\theta+582)-2^{58} 3^{5} 13^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "27296 369676901920", "discriminant": "6 1 71680 925892608 -14186276978688 -19326115881418752 79828555194955726848 -47347027429689384763392", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "480dfd541eda896f1434450e820ef263", "dim_h": null, "inst": " 27296 -70540912 369676901920 -2547102730999216 20534034788092596960 -182815405883920008470960 1743930451885855281116207520 -17500503861020877916010234756016 182567968058705118592675570875269888 -1963890814682216519353268524115529335760", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(3072z+1)(9216z-1)(39936z+1)^2(1024z-1)^2", "discr_factors": "-47347027429689384763392, z+1/3072, z-1/9216, (z-1/1024)^2, (z+1/39936)^2", "dm_basis": null, "q": "0 1 -6336 48369248 -433627011072 4274758209336880 -44893742934338795520 492854129725827792126464 -5590628680112432700499820544 65025162258884093156331475384984", "yuk": "1 27296 -564300000 9981276379136 -163014575348249824 2566754348511574647296 -39488127670916741117675520 598168144996848361422859206656 -8960257976842689656011815543330016 133092048714796031454060501149348127488", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3072","im":"0","approx_re":"-0.000325520833333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/39936","im":"0","approx_re":"-2.50400641026e-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":"1/9216","im":"0","approx_re":"0.000108506944444","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -33*X^4-258*X^3-199*X^2-70*X-10, -5520*X^4-9600*X^3+692*X^2+2536*X+740, -117200*X^4-42720*X^3+10688*X^2+16560*X+4640, -114816*X^4+448512*X^3+1287424*X^2+1086976*X+311680, 4096*(X+1)^2*(858*X^2+1566*X+745), -3276800*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.12\" from ...", "degz": 6, "h3": null, "sol": "1 10 310 14860 869590 57014860 4024236100 299128325800 23104017380950 1838044630719100", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -10 -70 -199 -258 -33 740 2536 692 -9600 -5520 4640 16560 10688 -42720 -117200 311680 1086976 1287424 448512 -114816 3051520 12517376 19394560 13443072 3514368 -13107200 -39321600 -42598400 -19660800 -3276800", "new_number": "6.12", "id": 395, "operator_tex": "\\theta^4-x\\left(33\\theta^4+258\\theta^3+199\\theta^2+70\\theta+10\\right)-2^{2} x^{2}\\left(1380\\theta^4+2400\\theta^3-173\\theta^2-634\\theta-185\\right)-2^{4} x^{3}\\left(7325\\theta^4+2670\\theta^3-668\\theta^2-1035\\theta-290\\right)-2^{7} x^{4}\\left(897\\theta^4-3504\\theta^3-10058\\theta^2-8492\\theta-2435\\right)+2^{12} x^{5}(\\theta+1)^2(858\\theta^2+1566\\theta+745)-2^{17} 5^{2} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "19 2263", "discriminant": "6 1 -33 -5520 -117200 -114816 3514368 -3276800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "86993fb7955dee498aab7e103a0f457e", "dim_h": null, "inst": " 19 -18 2263 4184 1097345 12217112 965281170 21986059456 1218464045842 39759333040770", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(z-1)(8z+1)(100z-1)(4z-1)(1+32z)^2", "discr_factors": "-3276800, z-1/4, (1/32+z)^2, z+1/8, z-1, z-1/100", "dm_basis": null, "q": "0 1 -30 501 -11632 224526 -7132278 126434290 -5962371648 60699791931", "yuk": "1 19 -125 61120 267651 137168144 2638957168 331091441329 11256862709123 888260289479938", "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":"-1/32","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":"1/100","im":"0","approx_re":"0.01","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":"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","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(5*X^2+5*X+2)*(13*X^2+13*X+3), 17056*X^4+68224*X^3+100384*X^2+64320*X+13824, -500736*X^4-3004416*X^3-6319872*X^2-5439744*X-1416960, 7520256*X^4+60162048*X^3+164007936*X^2+174735360*X+51609600, -884736*(16*X^2+80*X+35)*(2*X+5)^2, 10616832*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.14\" from ...", "degz": 6, "h3": null, "sol": "1 24 1224 96000 9633960 1108344384 138551567616 18316669003776 2521698279071400 358052604022576320", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -24 -164 -424 -520 -260 13824 64320 100384 68224 17056 -1416960 -5439744 -6319872 -3004416 -500736 51609600 174735360 164007936 60162048 7520256 -774144000 -2388787200 -1893335040 -566231040 -56623104 4087480320 11720982528 8068792320 2038431744 169869312", "new_number": "6.14", "id": 397, "operator_tex": "\\theta^4-2^{2} x(5\\theta^2+5\\theta+2)(13\\theta^2+13\\theta+3)+2^{5} x^{2}\\left(533\\theta^4+2132\\theta^3+3137\\theta^2+2010\\theta+432\\right)-2^{8} 3 x^{3}\\left(652\\theta^4+3912\\theta^3+8229\\theta^2+7083\\theta+1845\\right)+2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{15} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{17} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 9928/3", "discriminant": "6 1 -260 17056 -500736 7520256 -56623104 169869312", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "44968de144621e2fa74ce3964a5435f7", "dim_h": null, "inst": " 8 471/2 9928/3 185385 6071232 2300082631/6 18155591704 2414821451639/2 208365112207712/3 4798279940094860", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(12z-1)(24z-1)(2304z^2-192z+1)(-1+16z)^2", "discr_factors": "169869312, (-1/16+z)^2, z-1/24, z^2-1/12*z+1/2304, z-1/12", "dm_basis": null, "q": "0 1 -68 3702 -227248 13651901 -867353208 53803343898 -3491324552128 219804608348118", "yuk": "1 8 1892 89360 11866532 758904008 82803065960 6227367954480 618194303486116 50632722266563376", "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":"1/24-1/48*3^(1/2)","im":"0","approx_re":"0.005582","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","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":"1/24+1/48*3^(1/2)","im":"0","approx_re":"0.077751","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 48+224*X+352*X^2+256*X^3+896*X^4, 35840+178176*X+355328*X^2+278528*X^3+315392*X^4, 18087936+73924608*X+123994112*X^2+100663296*X^3+55574528*X^4, 4160749568+15166603264*X+21944598528*X^2+15569256448*X^3+5167382528*X^4, 34359738368*(7*X^2+17*X+13)*(X+1)^2, 4398046511104*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.15\" from ...", "degz": 6, "h3": null, "sol": "1 -48 3088 -231168 19207440 -1725512448 164534857984 -16421904052224 1697528370486544 -180303323253277440", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 48 224 352 256 896 35840 178176 355328 278528 315392 18087936 73924608 123994112 100663296 55574528 4160749568 15166603264 21944598528 15569256448 5167382528 446676598784 1477468749824 1855425871872 1065151889408 240518168576 17592186044416 52776558133248 57174604644352 26388279066624 4398046511104", "new_number": "6.15", "id": 398, "operator_tex": "\\theta^4+2^{4} x\\left(56\\theta^4+16\\theta^3+22\\theta^2+14\\theta+3\\right)+2^{10} x^{2}\\left(308\\theta^4+272\\theta^3+347\\theta^2+174\\theta+35\\right)+2^{18} x^{3}\\left(212\\theta^4+384\\theta^3+473\\theta^2+282\\theta+69\\right)+2^{26} x^{4}\\left(77\\theta^4+232\\theta^3+327\\theta^2+226\\theta+62\\right)+2^{35} x^{5}(7\\theta^2+17\\theta+13)(\\theta+1)^2+2^{42} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "64 76608", "discriminant": "6 1 896 315392 55574528 5167382528 240518168576 4398046511104", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0130ee676bad42a2e117bca3367f8cf0", "dim_h": null, "inst": " 64 -1732 76608 -4429212 296488640 -21825120372 1717018912320 -141880104014716 12174942318185984 -1076499728934938412", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(64z+1)^2(128z+1)^2(256z+1)^2", "discr_factors": "4398046511104, (z+1/64)^2, (z+1/128)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 32 992 10240 1229872 -66671616 7069121024 -658220711936 64281432183448", "yuk": "1 64 -13792 2068480 -283483360 37061080064 -4714223945728 588937486925824 -72642613539017952 8875532949959650816", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"0","approx_re":"-0.0078125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -80-960*X-5312*X^2-8704*X^3+7168*X^4, 143360+2736128*X+11501568*X^2-34471936*X^3+10551296*X^4, -699400192-3334471680*X-5653921792*X^2-5838471168*X^3-9529458688*X^4, -2415919104*(2*X+1)*(744*X^3+940*X^2+798*X+167), 37108517437440*(16*X^2+40*X+33)*(X+1)^2, 189995609279692800*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.16\" from ...", "degz": 6, "h3": null, "sol": "1 80 30480 9850112 4649741584 2264167322880 1229814448800000 696508535721676800 412347129435862310160 251255806159573896254720", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -80 -960 -5312 -8704 7168 143360 2736128 11501568 -34471936 10551296 -699400192 -3334471680 -5653921792 -5838471168 -9529458688 -403458490368 -2734820425728 -6126770847744 -6339371728896 -3594887626752 1224581075435520 3933502848368640 4786998749429760 2671813255495680 593736278999040 759982437118771200 2279947311356313600 2469942920636006400 1139973655678156800 189995609279692800", "new_number": "6.16", "id": 399, "operator_tex": "\\theta^4+2^{4} x\\left(448\\theta^4-544\\theta^3-332\\theta^2-60\\theta-5\\right)+2^{12} x^{2}\\left(2576\\theta^4-8416\\theta^3+2808\\theta^2+668\\theta+35\\right)-2^{20} x^{3}\\left(9088\\theta^4+5568\\theta^3+5392\\theta^2+3180\\theta+667\\right)-2^{28} 3^{2} x^{4}(2\\theta+1)(744\\theta^3+940\\theta^2+798\\theta+167)+2^{38} 3^{3} 5 x^{5}(16\\theta^2+40\\theta+33)(\\theta+1)^2+2^{48} 3^{3} 5^{2} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "2272 434311008", "discriminant": "6 1 7168 10551296 -9529458688 -3594887626752 593736278999040 189995609279692800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f30ffc268310c175e914066ee270f47b", "dim_h": null, "inst": " 2272 -719992 434311008 -343376572072 316225589496736 -321072938540815640 348896247091828272608 -398556095609830140802088 473068944329846722946244864 -578798984312874623996834074536", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(768z-1)(256z-1)(256z+1)^2(3840z+1)^2", "discr_factors": "189995609279692800, (z+1/3840)^2, z-1/256, (z+1/256)^2, z-1/768", "dm_basis": null, "q": "0 1 -640 536928 -540162048 603003257392 -719331333439488 898066818257433088 -1158932064480973291520 1533592969291457282386584", "yuk": "1 2272 -5757664 11726399488 -21976106370272 39528198687094272 -69351754713095538688 119671412752497097506816 -204060720952255008197039328 344867260416458261039538905344", "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":"-1/3840","im":"0","approx_re":"-0.000260416666667","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":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -14-73*X-154*X^2-162*X^3-81*X^4, 3256+11390*X+15571*X^2+9876*X^3+2469*X^4, -162708-457536*X-476503*X^2-215994*X^3-35999*X^4, 2949480+7097160*X+6016050*X^2+2120880*X^3+265110*X^4, -6300*(X+4)*(X+1)*(151*X^2+755*X+850), 1323000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.17\" from ...", "degz": 6, "h3": null, "sol": "1 14 220 3800 70840 1404944 29317456 638193920 14393845480 334501958000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -14 -73 -154 -162 -81 3256 11390 15571 9876 2469 -162708 -457536 -476503 -215994 -35999 2949480 7097160 6016050 2120880 265110 -21420000 -45801000 -32942700 -9513000 -951300 52920000 103194000 64827000 15876000 1323000", "new_number": "6.17", "id": 400, "operator_tex": "\\theta^4-x\\left(14+73\\theta+154\\theta^2+162\\theta^3+81\\theta^4\\right)+x^{2}\\left(3256+11390\\theta+15571\\theta^2+9876\\theta^3+2469\\theta^4\\right)-x^{3}\\left(162708+457536\\theta+476503\\theta^2+215994\\theta^3+35999\\theta^4\\right)+2 3 5 x^{4}\\left(8837\\theta^4+70696\\theta^3+200535\\theta^2+236572\\theta+98316\\right)-2^{2} 3^{2} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(151\\theta^2+755\\theta+850)+2^{3} 3^{3} 5^{3} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2 224/9", "discriminant": "6 1 -81 2469 -35999 265110 -951300 1323000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bbcabbebf6c04783d4ec5d0a5664f174", "dim_h": null, "inst": " 2 -4 224/9 -112 4446/5 -49628/9 46974 -341400 9101936/3 -121028712/5", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(14z-1)(30z-1)(21z-1)(-1+5z)^2", "discr_factors": "1323000, z-1/6, z-1/21, z-1/14, z-1/30, (-1/5+z)^2", "dm_basis": null, "q": "0 1 -17 267 -4189 65570 -1027203 16092382 -252180497 3952190541", "yuk": "1 2 -30 674 -7198 111152 -1190430 16112084 -174803998 2211771122", "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":"1/30","im":"0","approx_re":"0.0333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/21","im":"0","approx_re":"0.047619047619","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"0","approx_re":"0.0714285714286","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5","im":"0","approx_re":"0.2","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -18-94*X-199*X^2-210*X^3-105*X^4, 5700+19672*X+26596*X^2+16760*X^3+4190*X^4, -387468-1074492*X-1106604*X^2-498960*X^3-83160*X^4, 9869688+23581152*X+19871352*X^2+6988032*X^3+873504*X^4, -75600*(X+4)*(X+1)*(61*X^2+305*X+345), 9525600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.18\" from ...", "degz": 6, "h3": null, "sol": "1 18 348 7320 168840 4267728 117154464 3444623424 106919286840 3460118502000", "n_discr_factors": "6", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -94 -199 -210 -105 5700 19672 26596 16760 4190 -387468 -1074492 -1106604 -498960 -83160 9869688 23581152 19871352 6988032 873504 -104328000 -222642000 -159818400 -46116000 -4611600 381024000 742996800 466754400 114307200 9525600", "new_number": "6.18", "id": 401, "operator_tex": "\\theta^4-x\\left(18+94\\theta+199\\theta^2+210\\theta^3+105\\theta^4\\right)+2 x^{2}\\left(2095\\theta^4+8380\\theta^3+13298\\theta^2+9836\\theta+2850\\right)-2^{2} 3^{2} x^{3}\\left(2310\\theta^4+13860\\theta^3+30739\\theta^2+29847\\theta+10763\\right)+2^{3} 3^{3} x^{4}\\left(4044\\theta^4+32352\\theta^3+91997\\theta^2+109172\\theta+45693\\right)-2^{4} 3^{3} 5^{2} 7 x^{5}(\\theta+4)(\\theta+1)(61\\theta^2+305\\theta+345)+2^{5} 3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "3 64", "discriminant": "6 1 -105 4190 -83160 873504 -4611600 9525600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b127e33287ed87a366c178fc4678cdc4", "dim_h": null, "inst": " 3 -4 64 -253 4292 -25608 442008 -3202512 56565002 -457852636", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(14z-1)(42z-1)(18z-1)(10z-1)", "discr_factors": "9525600, z-1/18, z-1/6, z-1/10, z-1/15, z-1/14, z-1/42", "dm_basis": null, "q": "0 1 -22 452 -9472 198028 -4152896 87080620 -1827509984 38353260838", "yuk": "1 3 -29 1731 -16221 536503 -5529629 151608747 -1639702365 41235888189", "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":"1/42","im":"0","approx_re":"0.0238095238095","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15","im":"0","approx_re":"0.0666666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/14","im":"0","approx_re":"0.0714285714286","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[148035889*X^4, 579270870+2883481664*X^4+5779836014*X^2+2896354350*X+5766963328*X^3, 10113453740+28078126576*X^3+45261483340*X^2+34366713528*X+7019531644*X^4, -467468307000-105250426661*X^4-1390420827511*X^2-1329500962686*X-631502559966*X^3, -10763637186960*X-396559634060*X^4-3172477072480*X^3-9035863441700*X^2-4509263458080, -40378800*(X+4)*(X+1)*(10889*X^2+54445*X+62408), -154106568000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.19\" from ...", "degz": 6, "h3": null, "sol": "1 -90/23 13390/529 -2157300/12167 398261070/279841 -76924959180/6436343 15697219642300/148035889 -3299647253916600/3404825447 714380001747479950/78310985281 -157930557645719321100/1801152661463", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 148035889 579270870 2896354350 5779836014 5766963328 2883481664 10113453740 34366713528 45261483340 28078126576 7019531644 -467468307000 -1329500962686 -1390420827511 -631502559966 -105250426661 -4509263458080 -10763637186960 -9035863441700 -3172477072480 -396559634060 -10079840601600 -21393495816000 -15270817993200 -4396847532000 -439684753200 -6164262720000 -12020312304000 -7551221832000 -1849278816000 -154106568000", "new_number": "6.19", "id": 402, "operator_tex": "23^{6} \\theta^4+2 23^{5} x\\left(224\\theta^4+448\\theta^3+449\\theta^2+225\\theta+45\\right)+2^{2} 23^{4} x^{2}\\left(6271\\theta^4+25084\\theta^3+40435\\theta^2+30702\\theta+9035\\right)-23^{3} x^{3}\\left(8650483\\theta^4+51902898\\theta^3+114278033\\theta^2+109271058\\theta+38421000\\right)-2^{2} 5 23^{2} x^{4}\\left(37482007\\theta^4+299856056\\theta^3+854051365\\theta^2+1017357012\\theta+426206376\\right)-2^{4} 3 5^{2} 7 11 19 23 x^{5}(\\theta+4)(\\theta+1)(10889\\theta^2+54445\\theta+62408)-2^{6} 3^{2} 5^{3} 7^{2} 11^{2} 19^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2/23 27/23", "discriminant": "6 148035889 2883481664 7019531644 -105250426661 -396559634060 -439684753200 -154106568000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "38a2cec750ea75c0fd64ef0a4286a801", "dim_h": null, "inst": " 2/23 18/23 27/23 136/23 395/23 2042/23 8104/23 46008/23 222465/23 1311410/23", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "7", "laurent": null, "discriminant_tex": "-(228z+23)(21z+23)(140z-23)(44z+23)(5225z^2+6785z+529)", "discr_factors": "-154106568000, z+23/228, z^2+1357/1045*z+529/5225, z-23/140, z+23/44, z+23/21", "dm_basis": null, "q": "0 1 90/23 1223/529 -581862/12167 -88056565/279841 -7781805910/6436343 -470424446428/148035889 -14445487366152/3404825447 96033794371589/78310985281", "yuk": "1 2/23 146/23 731/23 8850/23 49377/23 441947/23 2779674/23 23564946/23 162177716/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1357/2090-529/2090*5^(1/2)","im":"0","approx_re":"-1.215254","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-23/21","im":"0","approx_re":"-1.09523809524","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-23/44","im":"0","approx_re":"-0.522727272727","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-23/228","im":"0","approx_re":"-0.100877192982","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1357/2090+529/2090*5^(1/2)","im":"0","approx_re":"-0.083311","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":"23/140","im":"0","approx_re":"0.164285714286","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -112*(X+1/2)^4-112*(X+1/2)^2-4, 4704*(X+1)^4+6390*(X+1)^2+675, -92416*(X+3/2)^4-130128*(X+3/2)^2-12852, 872704*(X+2)^4+995680*(X+2)^2+93337, -4608*(X+5/2)^2*(784*(X+5/2)^2+647), 1327104*(2*X+5)*(2*X+7)*(X+3)^2]", "text": "YY-pullback of AESZ:130", "degz": 6, "h3": null, "sol": "1 39 2541/2 80689/2 10329363/8 335463921/8 22102840857/16 736991939889/16 198520285467843/128 6736696134963949/128", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -39 -168 -280 -224 -112 11769 31596 34614 18816 4704 -773496 -1638000 -1377744 -554496 -92416 18039321 31909248 21940576 6981632 872704 -159753600 -240698880 -138456576 -36126720 -3612672 418037760 565346304 285327360 63700992 5308416", "new_number": "6.1", "id": 403, "operator_tex": "\\theta^4-x\\left(112\\theta^4+224\\theta^3+280\\theta^2+168\\theta+39\\right)+3 x^{2}\\left(1568\\theta^4+6272\\theta^3+11538\\theta^2+10532\\theta+3923\\right)-2^{3} x^{3}\\left(11552\\theta^4+69312\\theta^3+172218\\theta^2+204750\\theta+96687\\right)+x^{4}\\left(872704\\theta^4+6981632\\theta^3+21940576\\theta^2+31909248\\theta+18039321\\right)-2^{7} 3^{2} x^{5}(784\\theta^2+3920\\theta+5547)(2\\theta+5)^2+2^{14} 3^{4} x^{6}(2\\theta+5)(2\\theta+7)(\\theta+3)^2", "superseek": "-2 -70/3", "discriminant": "6 1 -112 4704 -92416 872704 -3612672 5308416", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "28ce9053a8969d292554c4f160bc469e", "dim_h": null, "inst": " -2 -9/2 -70/3 -145 -1060 -16257/2 -64746 -537089 -13892692/3 -41195025", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(4z-1)^2(36z-1)^2(16z-1)^2", "discr_factors": "5308416, (z-1/16)^2, (z-1/4)^2, (z-1/36)^2", "dm_basis": null, "q": "0 1 -12 78 -544 2565 -18888 65770 -613056 639786", "yuk": "1 -2 -38 -632 -9318 -132502 -1756424 -22207880 -274998886 -3375924788", "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":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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":["5/2","3","3","7/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 11*X+26*X^3+2+13*X^4+24*X^2, -(141*X^2+282*X+296)*(X+1)^2, -2*(X+2)*(X+1)*(407*X^2+1221*X+654), 28*(X+3)*(X+1)*(389*X^2+1556*X+1460), -1176*(X+4)*(X+1)*(29*X^2+145*X+166), 32928*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.20\" from ...", "degz": 6, "h3": null, "sol": "1 -2 28 -224 2464 -26432 302344 -3527456 42147088 -511729568", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 2 11 24 26 13 -296 -874 -1001 -564 -141 -2616 -8808 -10262 -4884 -814 122640 294224 247828 87136 10892 -780864 -1658160 -1184232 -341040 -34104 1317120 2568384 1613472 395136 32928", "new_number": "6.20", "id": 404, "operator_tex": "\\theta^4+x\\left(11\\theta+26\\theta^3+2+13\\theta^4+24\\theta^2\\right)-x^{2}(141\\theta^2+282\\theta+296)(\\theta+1)^2-2 x^{3}(\\theta+2)(\\theta+1)(407\\theta^2+1221\\theta+654)+2^{2} 7 x^{4}(\\theta+3)(\\theta+1)(389\\theta^2+1556\\theta+1460)-2^{3} 3 7^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+166)+2^{5} 3 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "0 -1/3", "discriminant": "6 1 13 -141 -814 10892 -34104 32928", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "5169c67af7361bf7e6467dabea9612bd", "dim_h": null, "inst": " 0 1/2 -1/3 -1 -2 124/9 -69/7 -62 -737/3 2927/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(-1+2z)(4z-1)(21z^2-9z+1)(1+14z)^2", "discr_factors": "32928, (1/14+z)^2, -1/2+z, z^2-3/7*z+1/21, z-1/4", "dm_basis": null, "q": "0 1 3 -17 -83 370 2223 -7945 -58549 168838", "yuk": "1 0 4 -9 -60 -250 2971 -3381 -31804 -179100", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/14","im":"0","approx_re":"-0.0714285714286","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":"3/14","im":"-1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"-0.041239","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"1/42*3^(1/2)","approx_re":"0.214285714286","approx_im":"0.041239","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":"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":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 6+27*X+47*X^2+40*X^3+20*X^4, -(143*X^2+286*X+120)*(X+1)^2, -18*(X+2)*(X+1)*(291*X^2+873*X+766), -540*(X+3)*(X+1)*(41*X^2+164*X+196), 5400*(X+4)*(X+1)*(29*X^2+145*X+150), 972000*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.21\" from ...", "degz": 6, "h3": null, "sol": "1 -6 60 -480 5040 -42336 468456 -3906720 46352160 -367896000", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 6 27 47 40 20 -120 -526 -835 -572 -143 -27576 -72792 -71406 -31428 -5238 -317520 -689040 -526500 -177120 -22140 3240000 7182000 5351400 1566000 156600 38880000 75816000 47628000 11664000 972000", "new_number": "6.21", "id": 405, "operator_tex": "\\theta^4+x\\left(6+27\\theta+47\\theta^2+40\\theta^3+20\\theta^4\\right)-x^{2}(143\\theta^2+286\\theta+120)(\\theta+1)^2-2 3^{2} x^{3}(\\theta+2)(\\theta+1)(291\\theta^2+873\\theta+766)-2^{2} 3^{3} 5 x^{4}(\\theta+3)(\\theta+1)(41\\theta^2+164\\theta+196)+2^{3} 3^{3} 5^{2} x^{5}(\\theta+4)(\\theta+1)(29\\theta^2+145\\theta+150)+2^{5} 3^{5} 5^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1 11", "discriminant": "6 1 20 -143 -5238 -22140 156600 972000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "319d6b2f1541de5252840442cc6f8dcd", "dim_h": null, "inst": " 1 13/4 11 50 1674/5 11339/4 25332 231810 2188747 214734129/10", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "(6z-1)(15z-1)(9z+1)(12z+1)(10z+1)^2", "discr_factors": "972000, z+1/12, z+1/9, z-1/6, (z+1/10)^2, z-1/15", "dm_basis": null, "q": "0 1 3 -28 -339 -995 8208 79253 -114261 -6614045", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/9","im":"0","approx_re":"-0.111111111111","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","1/2","1/2","1"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/15","im":"0","approx_re":"0.0666666666667","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[4096*X^4, -78848*X-13312-187392*X^2-217088*X^3-108544*X^4, -11008*X^2-36096+4864*X^4-60928*X+19456*X^3, 2739264+7532928*X+7674240*X^2+573696*X^4+3442176*X^3, 2294352+3290976*X^2+133488*X^4+4620672*X+1067904*X^3, -26460*(X+4)*(X+1)*(22*X^2+110*X+123), -297675*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "", "degz": 6, "h3": null, "sol": "1 13/4 489/16 25429/64 1591057/256 110743773/1024 8268378489/4096 648768717477/16384 52825253770017/65536 4426370568340141/262144", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 4096 -13312 -78848 -187392 -217088 -108544 -36096 -60928 -11008 19456 4864 2739264 7532928 7674240 3442176 573696 2294352 4620672 3290976 1067904 133488 -13018320 -27915300 -20136060 -5821200 -582120 -11907000 -23218650 -14586075 -3572100 -297675", "new_number": "6.22", "id": 406, "operator_tex": "2^{12} \\theta^4-2^{10} x\\left(106\\theta^4+212\\theta^3+183\\theta^2+77\\theta+13\\right)+2^{8} x^{2}\\left(19\\theta^4+76\\theta^3-43\\theta^2-238\\theta-141\\right)+2^{6} 3 x^{3}\\left(2988\\theta^4+17928\\theta^3+39970\\theta^2+39234\\theta+14267\\right)+2^{4} 3^{3} x^{4}\\left(309\\theta^4+2472\\theta^3+7618\\theta^2+10696\\theta+5311\\right)-2^{2} 3^{3} 5 7^{2} x^{5}(\\theta+4)(\\theta+1)(22\\theta^2+110\\theta+123)-3^{5} 5^{2} 7^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "5/4 35/2", "discriminant": "6 4096 -108544 4864 573696 133488 -582120 -297675", "aesz": "376", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "24fee66b67ff1a8a852f7a562f7665c1", "dim_h": null, "inst": " 5/4 57/16 35/2 459/4 3615/4 97217/12 317945/4 833711 110476691/12 1694285265/16", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(7z+4)(5z-4)(105z-4)(9z-4)(4+3z)^2", "discr_factors": "-297675, z-4/5, (4/3+z)^2, z-4/105, z+4/7, z-4/9", "dm_basis": null, "q": "0 1 -25/4 81/16 -713/64 -73087/256 -1774713/1024 -94067023/4096 -4335269673/16384 -209855999007/65536", "yuk": "1 5/4 119/4 1895/4 29495/4 112970 7001633/4 27263785 1707469623/4 6711459452", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-4/3","im":"0","approx_re":"-1.33333333333","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-4/7","im":"0","approx_re":"-0.571428571429","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":"4/105","im":"0","approx_re":"0.0380952380952","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/9","im":"0","approx_re":"0.444444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"4/5","im":"0","approx_re":"0.8","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[594823321*X^4, -41022298*(2*X^2+2*X+1)*(152*X^2+152*X+41), -41701287760*X-46442899584*X^3-9242748108-67293543464*X^2-11610724896*X^4, 240566071968+302906697312*X^3+50484449552*X^4+675430234228*X^2+663210564780*X, -2836805694000*X^2-125333113152*X^4-3325903534272*X-1002664905216*X^3-1367276391504, 29198592*(X+4)*(X+1)*(5408*X^2+27040*X+30585), -63358930944*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.23\" from ...", "degz": 6, "h3": null, "sol": "1 82/29 18498/841 5789116/24389 2183601010/707281 913152637572/20511149 409341207536124/594823321 192743090925367176/17249876309 94153052624510162322/500246412961 47322122842880605326340/14507145975869", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 594823321 -1681914218 -9599217732 -22069996324 -24941557184 -12470778592 -9242748108 -41701287760 -67293543464 -46442899584 -11610724896 240566071968 663210564780 675430234228 302906697312 50484449552 -1367276391504 -3325903534272 -2836805694000 -1002664905216 -125333113152 3572155745280 7623314392320 5472312516864 1579059855360 157905985536 -2534357237760 -4941996613632 -3104587616256 -760307171328 -63358930944", "new_number": "6.23", "id": 407, "operator_tex": "29^{6} \\theta^4-2 29^{5} x(2\\theta^2+2\\theta+1)(152\\theta^2+152\\theta+41)-2^{2} 29^{4} x^{2}\\left(4104\\theta^4+16416\\theta^3+23786\\theta^2+14740\\theta+3267\\right)+2^{2} 29^{3} x^{3}\\left(517492\\theta^4+3104952\\theta^3+6923513\\theta^2+6798255\\theta+2465928\\right)-2^{4} 3 29^{2} x^{4}\\left(3104764\\theta^4+24838112\\theta^3+70273625\\theta^2+82389604\\theta+33870303\\right)+2^{8} 3^{2} 19 23 29 x^{5}(\\theta+4)(\\theta+1)(5408\\theta^2+27040\\theta+30585)-2^{12} 3^{4} 19^{2} 23^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "24/29 284/29", "discriminant": "6 594823321 -12470778592 -11610724896 50484449552 -125333113152 157905985536 -63358930944", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "83e67651e4ea5ee123354c2989ff7460", "dim_h": null, "inst": " 24/29 72/29 284/29 1616/29 10632/29 81083/29 669752/29 5934668/29 1906348 536629728/29", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(92z+29)(1195632z^3-467248z^2+548332z-24389)(24z-29)^2", "discr_factors": "-63358930944, z^3-1537/3933*z^2+137083/298908*z-24389/1195632, (z-29/24)^2, z+29/92", "dm_basis": null, "q": "0 1 -140/29 -584/841 78396/24389 -115182068/707281 -14506300576/20511149 -5471243858286/594823321 -1427106280063472/17249876309 -433784195001453154/500246412961", "yuk": "1 24/29 600/29 7692/29 104024/29 1329024/29 17522196/29 229724960/29 3038654040/29 40302110760/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-29/92","im":"0","approx_re":"-0.315217391304","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":"-841/47196*(3086+1242*57^(1/2))^(1/3)+89987/11799/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"0","approx_re":"0.046074","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"841/94392*(3086+1242*57^(1/2))^(1/3)-89987/23598/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"29/4*3^(1/2)*(-29/23598*(3086+1242*57^(1/2))^(1/3)-6206/11799/(3086+1242*57^(1/2))^(1/3))","approx_re":"0.172361","approx_im":"-0.642668","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"841/94392*(3086+1242*57^(1/2))^(1/3)-89987/23598/(3086+1242*57^(1/2))^(1/3)+1537/11799","im":"-29/4*3^(1/2)*(-29/23598*(3086+1242*57^(1/2))^(1/3)-6206/11799/(3086+1242*57^(1/2))^(1/3))","approx_re":"0.172361","approx_im":"0.642668","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/24","im":"0","approx_re":"1.20833333333","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, 1701*X^2+486+1701*X, -461214*X-142560-354780*X^3-585387*X^2-88695*X^4, -54*(X+2)*(X+1)*(4165*X^2+12495*X+11148), 36*(47961*X^2+191844*X+148643)*(X+2)^2, 3127320*(X+1)*(X+2)*(X+3)*(X+4), -11328800*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.24\" from ...", "degz": 6, "h3": null, "sol": "1 -2/3 112/9 -8/27 29500/81 221368/243 12431944/729 206859616/2187 7276420876/6561 169125672520/19683", "n_discr_factors": "6", "c3": null, "operator": "4 6 0 0 0 0 729 486 1701 1701 0 0 -142560 -461214 -585387 -354780 -88695 -1203984 -3155436 -3076002 -1349460 -224910 21404592 49030128 39883068 13812768 1726596 75055680 156366000 109456200 31273200 3127320 -453152000 -883646400 -555111200 -135945600 -11328800", "new_number": "6.24", "id": 408, "operator_tex": "3^{6} \\theta^4+3^{5} x\\left(7\\theta^2+7\\theta+2\\right)-3^{4} x^{2}\\left(1095\\theta^4+4380\\theta^3+7227\\theta^2+5694\\theta+1760\\right)-2 3^{3} x^{3}(\\theta+2)(\\theta+1)(4165\\theta^2+12495\\theta+11148)+2^{2} 3^{2} x^{4}(47961\\theta^2+191844\\theta+148643)(\\theta+2)^2+2^{3} 3^{2} 5 7 17 73 x^{5}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)-2^{5} 5^{2} 7^{2} 17^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "1/3 5/3", "discriminant": "6 729 0 -88695 -224910 1726596 3127320 -11328800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "aebe18b25bf886c4483ce54370c0fcbe", "dim_h": null, "inst": " 1/3 5/6 5/3 19/3 29 281/2 702 11624/3 67528/3 272197/2", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "-(7z-3)(34z-3)(17z+3)(20z+3)(10z-3)(14z+3)", "discr_factors": "-11328800, z-3/34, z-3/10, z+3/20, z-3/7, z+3/14, z+3/17", "dm_basis": null, "q": "0 1 -1/3 -134/9 -271/27 12826/81 -14446/243 -2486591/729 -11054017/2187 95735548/6561", "yuk": "1 1/3 7 136/3 1237/3 10876/3 30400 722359/3 5952725/3 49228048/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/14","im":"0","approx_re":"-0.214285714286","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/17","im":"0","approx_re":"-0.176470588235","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/20","im":"0","approx_re":"-0.15","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":"3/34","im":"0","approx_re":"0.0882352941176","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/10","im":"0","approx_re":"0.3","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/7","im":"0","approx_re":"0.428571428571","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[4826809*X^4, 371293*(48*X^2+48*X+11)*(3*X^2+3*X+1), -3709359875*X^2-2372390904*X^3-593097726*X^4-2673937942*X-746727345, 14315357602+3006721926*X^4+18040331556*X^3+39407714229*X+40196402077*X^2, -224349452964*X-94684236088-65701136280*X^3-187489635801*X^2-8212642035*X^4, 646009*(X+4)*(X+1)*(19935*X^2+99675*X+113198), -9877576996*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.25\" from ...", "degz": 6, "h3": null, "sol": "1 -11/13 2149/169 -279167/2197 42641173/28561 -7248385151/371293 1310388232321/4826809 -248151090772379/62748517 48670657134625717/815730721 -9810688994197984823/10604499373", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 4826809 4084223 30074733 83540925 106932384 53466192 -746727345 -2673937942 -3709359875 -2372390904 -593097726 14315357602 39407714229 40196402077 18040331556 3006721926 -94684236088 -224349452964 -187489635801 -65701136280 -8212642035 292507707128 623198422210 446594419817 128781894150 12878189415 -395103079840 -770451005688 -484001272804 -118530923952 -9877576996", "new_number": "6.25", "id": 409, "operator_tex": "13^{6} \\theta^4+13^{5} x(48\\theta^2+48\\theta+11)(3\\theta^2+3\\theta+1)-13^{4} x^{2}\\left(20766\\theta^4+83064\\theta^3+129875\\theta^2+93622\\theta+26145\\right)+13^{3} x^{3}\\left(1368558\\theta^4+8211348\\theta^3+18296041\\theta^2+17937057\\theta+6515866\\right)-13^{2} x^{4}\\left(48595515\\theta^4+388764120\\theta^3+1109406129\\theta^2+1327511556\\theta+560261752\\right)+7 13 31 229 x^{5}(\\theta+4)(\\theta+1)(19935\\theta^2+99675\\theta+113198)-2^{2} 7^{2} 31^{2} 229^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "-11/13 -385/39", "discriminant": "6 4826809 53466192 -593097726 3006721926 -8212642035 12878189415 -9877576996", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "47050ee8c9a3655ea77ba8df999a7459", "dim_h": null, "inst": " -11/13 131/52 -385/39 672/13 -4437/13 397921/156 -270112/13 2353504/13 -64766054/39 825009005/52", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(28z-13)(1603z^2-559z+169)(220069z^3-108004z^2+36335z+2197)", "discr_factors": "-9877576996, z^2-559/1603*z+169/1603, z^3-3484/7099*z^2+36335/220069*z+2197/220069, z-13/28", "dm_basis": null, "q": "0 1 37/13 -2180/169 51667/2197 38821/28561 262277230/371293 -50224310787/4826809 6245705058491/62748517 -777174325267253/815730721", "yuk": "1 -11/13 251/13 -3476/13 43259/13 -554636/13 7159364/13 -92648427/13 1205037307/13 -15738154598/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-169/2233671954*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+34753498/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+3484/21297","im":"0","approx_re":"-0.051688","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":"559/3206","im":"-507/3206*3^(1/2)","approx_re":"0.174360573924","approx_im":"-0.273908","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"559/3206","im":"507/3206*3^(1/2)","approx_re":"0.174360573924","approx_im":"0.273908","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"169/4467343908*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-17376749/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+3484/21297","im":"13/2*3^(1/2)*(-13/2233671954*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-2673346/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3))","approx_re":"0.27123","approx_im":"-0.345803","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"169/4467343908*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-17376749/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)+3484/21297","im":"-13/2*3^(1/2)*(-13/2233671954*(32597966366684222356+3566745581150056572*93^(1/2))^(1/3)-2673346/93/(32597966366684222356+3566745581150056572*93^(1/2))^(1/3))","approx_re":"0.27123","approx_im":"0.345803","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/28","im":"0","approx_re":"0.464285714286","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[1849*X^4, -3698-75250*X^3-61662*X^2-24037*X-35690*X^4, -1342738*X^3-368510-1383525*X-354697*X^4-2007703*X^2, -2348230-6951423*X-774028*X^4-3928308*X^3-7763518*X^2, -8994645*X-8960520*X^2-666345*X^4-3960420*X^3-3321450, -450*(X+2)*(X+1)*(533*X^2+1694*X+1290), -3375*(3*X+5)*(3*X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.26\" from ...", "degz": 6, "h3": null, "sol": "1 2 26 344 5650 101692 1961504 39693712 832924978 17976759860", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1849 -3698 -24037 -61662 -75250 -35690 -368510 -1383525 -2007703 -1342738 -354697 -2348230 -6951423 -7763518 -3928308 -774028 -3321450 -8994645 -8960520 -3960420 -666345 -1161000 -3266100 -3347100 -1481850 -239850 -135000 -384750 -401625 -182250 -30375", "new_number": "6.26", "id": 410, "operator_tex": "43^{2} \\theta^4-43 x\\left(830\\theta^4+1750\\theta^3+1434\\theta^2+559\\theta+86\\right)-x^{2}\\left(1342738\\theta^3+368510+1383525\\theta+354697\\theta^4+2007703\\theta^2\\right)-x^{3}\\left(2348230+6951423\\theta+774028\\theta^4+3928308\\theta^3+7763518\\theta^2\\right)-3 5 x^{4}\\left(44423\\theta^4+264028\\theta^3+597368\\theta^2+599643\\theta+221430\\right)-2 3^{2} 5^{2} x^{5}(\\theta+2)(\\theta+1)(533\\theta^2+1694\\theta+1290)-3^{3} 5^{3} x^{6}(3\\theta+5)(3\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "58/43 1024/43", "discriminant": "6 1849 -35690 -354697 -774028 -666345 -239850 -30375", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "38ef7a13fad0ecbb53ba25dafe26b113", "dim_h": null, "inst": " 58/43 211/43 1024/43 7544/43 64880/43 642512/43 6932348/43 80121364/43 974406940/43 12346791976/43", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(5z+1)(27z-1)(15z+43)^2(z+1)^2", "discr_factors": "-30375, z+1/5, (z+43/15)^2, z-1/27, (z+1)^2", "dm_basis": null, "q": "0 1 -5 -16 33 -281 -4304 -47369 -595869 -8056056", "yuk": "1 58/43 1746/43 27706/43 484562/43 188606 138811986/43 2377795422/43 41022622930/43 710342686966/43", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-43/15","im":"0","approx_re":"-2.86666666667","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":"-1/5","im":"0","approx_re":"-0.2","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","4/3","5/3","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[24137569*X^4, -1155763598*X^2-549484659*X-105069418-606278939*X^4-1212557878*X^3, 25120026523*X^2+15781794076*X^3+18676464894*X+5390111256+3945448519*X^4, -91101169440*X-7008423978*X^4-93442872282*X^2-32569298904-42050543868*X^3, -426336402096*X-128976723360*X^3-364537547244*X^2-16122090420*X^4-174815457264, 3572856*(X+4)*(X+1)*(3737*X^2+18685*X+21310), -2453921568*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.27\" from ...", "degz": 6, "h3": null, "sol": "1 74/17 7788/289 1036400/4913 164905648/83521 29670769824/1419857 5791052362056/24137569 1194339105635232/410338673 256246843974225120/6975757441 56648334490949377472/118587876497", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 24137569 -105069418 -549484659 -1155763598 -1212557878 -606278939 5390111256 18676464894 25120026523 15781794076 3945448519 -32569298904 -91101169440 -93442872282 -42050543868 -7008423978 -174815457264 -426336402096 -364537547244 -128976723360 -16122090420 304550245440 647723064240 463338684648 133517628720 13351762872 -98156862720 -191405882304 -120242156832 -29447058816 -2453921568", "new_number": "6.27", "id": 411, "operator_tex": "17^{6} \\theta^4-17^{5} x\\left(427\\theta^4+854\\theta^3+814\\theta^2+387\\theta+74\\right)+17^{4} x^{2}\\left(47239\\theta^4+188956\\theta^3+300763\\theta^2+223614\\theta+64536\\right)-2 3 17^{3} x^{3}\\left(237751\\theta^4+1426506\\theta^3+3169919\\theta^2+3090480\\theta+1104868\\right)-2^{2} 3^{2} 17^{2} x^{4}\\left(1549605\\theta^4+12396840\\theta^3+35038211\\theta^2+40978124\\theta+16802716\\right)+2^{3} 3^{3} 7 17 139 x^{5}(\\theta+4)(\\theta+1)(3737\\theta^2+18685\\theta+21310)-2^{5} 3^{4} 7^{2} 139^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "6/17 33/17", "discriminant": "6 24137569 -606278939 3945448519 -7008423978 -16122090420 13351762872 -2453921568", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "af5aea32756746d4fc4931e4da73756b", "dim_h": null, "inst": " 6/17 25/34 33/17 157/17 577/17 6115/34 15779/17 93410/17 553816/17 7017071/34", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(28z+17)(278z-17)(8757z^2-2805z+289)(6z-17)^2", "discr_factors": "-2453921568, (z-17/6)^2, z^2-935/2919*z+289/8757, z-17/278, z+17/28", "dm_basis": null, "q": "0 1 -91/17 5102/289 -302731/4913 10341750/83521 -329009388/1419857 -26092235588/24137569 1245683926125/410338673 -360713787912586/6975757441", "yuk": "1 6/17 106/17 897/17 10154/17 4243 661417/17 5412203/17 47836074/17 403732761/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-17/28","im":"0","approx_re":"-0.607142857143","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":"17/278","im":"0","approx_re":"0.0611510791367","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"-289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"-0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/6","im":"0","approx_re":"2.83333333333","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, -14094*X-90396*X^3-45198*X^4-59292*X^2-486, -7956792*X-11699964*X^2-1930392*X^4-2105028-7721568*X^3, -353999781*X^2-333452052*X-116535348-161899398*X^3-26983233*X^4, -4081333212*X^2-4776300144*X-1971384624-180453636*X^4-1443629088*X^3, -413820*(X+4)*(X+1)*(1431*X^2+7155*X+7978), -768785600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.28\" from ...", "degz": 6, "h3": null, "sol": "1 2/3 1732/9 213524/27 37218544/81 7006664192/243 1415868331204/729 300311231577464/2187 66068988584260288/6561 14953791257213925248/19683", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 729 -486 -14094 -59292 -90396 -45198 -2105028 -7956792 -11699964 -7721568 -1930392 -116535348 -333452052 -353999781 -161899398 -26983233 -1971384624 -4776300144 -4081333212 -1443629088 -180453636 -13205823840 -28350808200 -20474572140 -5921764200 -592176420 -30751424000 -59965276800 -37670494400 -9225427200 -768785600", "new_number": "6.28", "id": 412, "operator_tex": "3^{6} \\theta^4-2 3^{5} x\\left(93\\theta^4+186\\theta^3+122\\theta^2+29\\theta+1\\right)-2^{2} 3^{4} x^{2}\\left(5958\\theta^4+23832\\theta^3+36111\\theta^2+24558\\theta+6497\\right)-3^{3} x^{3}\\left(999379\\theta^4+5996274\\theta^3+13111103\\theta^2+12350076\\theta+4316124\\right)-2^{2} 3^{2} 11 x^{4}\\left(455691\\theta^4+3645528\\theta^3+10306397\\theta^2+12061364\\theta+4978244\\right)-2^{2} 3^{2} 5 11^{2} 19 x^{5}(\\theta+4)(\\theta+1)(1431\\theta^2+7155\\theta+7978)-2^{6} 5^{2} 11^{3} 19^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "32/3 14279/9", "discriminant": "6 729 -45198 -1930392 -26983233 -180453636 -592176420 -768785600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "62617eacb39580484b6f6cca4374260e", "dim_h": null, "inst": " 32/3 284/3 14279/9 118940/3 1226784 43278032 5024602976/3 208173247336/3 27259746376370/9 413303388978772/3", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "-(16z+3)(19z+3)(5225z^2+795z-9)(3+22z)^2", "discr_factors": "-768785600, (3/22+z)^2, z+3/19, z^2+159/1045*z-9/5225, z+3/16", "dm_basis": null, "q": "0 1 -50/3 -1820/9 14212/27 -2695424/81 -653711312/243 -79557433478/729 -10510820013704/2187 -1526332488750920/6561", "yuk": "1 32/3 768 128543/3 7614464/3 460044032/3 9348098517 1723438820800/3 106584710250496/3 6624118369586453/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-159/2090-81/2090*5^(1/2)","im":"0","approx_re":"-0.162738","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/19","im":"0","approx_re":"-0.157894736842","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/22","im":"0","approx_re":"-0.136363636364","approx_im":"0.0","exponents":["0","0","1","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":"-159/2090+81/2090*5^(1/2)","im":"0","approx_re":"0.010584","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[4826809*X^4, -269930011*X-513126926*X^4-783056937*X^2-1026253852*X^3-35644128, -12505548094*X-2991564823*X^4-18219033339*X^2-3339580608-11966259292*X^3, -85687033692*X^2-80033273892*X-27654517800-6556586192*X^4-39339517152*X^3, -73082257248-6822181184*X^4-178715601792*X-153833799392*X^2-54577449472*X^3, -4892160*(X+4)*(X+1)*(688*X^2+3440*X+3823), -632217600*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.41\" from ...", "degz": 6, "h3": null, "sol": "1 96/13 49776/169 35502696/2197 30531314880/28561 29286081308736/371293 30182545572405576/4826809 32725334427012691056/62748517 36847180059107104722816/815730721 42716293180826204294438400/10604499373", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 4826809 -35644128 -269930011 -783056937 -1026253852 -513126926 -3339580608 -12505548094 -18219033339 -11966259292 -2991564823 -27654517800 -80033273892 -85687033692 -39339517152 -6556586192 -73082257248 -178715601792 -153833799392 -54577449472 -6822181184 -74810910720 -160829760000 -116311104000 -33658060800 -3365806080 -25288704000 -49312972800 -30978662400 -7586611200 -632217600", "new_number": "6.41", "id": 413, "operator_tex": "13^{6} \\theta^4-13^{5} x\\left(1382\\theta^4+2764\\theta^3+2109\\theta^2+727\\theta+96\\right)-13^{4} x^{2}\\left(104743\\theta^4+418972\\theta^3+637899\\theta^2+437854\\theta+116928\\right)-2^{2} 13^{3} x^{3}\\left(746084\\theta^4+4476504\\theta^3+9750459\\theta^2+9107109\\theta+3146850\\right)-2^{5} 7 13^{2} x^{4}\\left(180214\\theta^4+1441712\\theta^3+4063657\\theta^2+4720932\\theta+1930533\\right)-2^{9} 3 5 7^{2} 13 x^{5}(\\theta+4)(\\theta+1)(688\\theta^2+3440\\theta+3823)-2^{13} 3^{2} 5^{2} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "161/13 26946/13", "discriminant": "6 4826809 -513126926 -2991564823 -6556586192 -6822181184 -3365806080 -632217600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "a18253e410f284ecdac465808ec8a6e1", "dim_h": null, "inst": " 161/13 1406/13 26946/13 742982/13 25168759/13 973987380/13 41351330207/13 144558468058 89974410402897/13 4488834942620690/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-169+18720z+22400z^2)(8z+13)^2(21z+13)^2", "discr_factors": "-632217600, (z+13/21)^2, -169/22400+117/140*z+z^2, (z+13/8)^2", "dm_basis": null, "q": "0 1 -343/13 17263/169 -2993791/2197 -2351424308/28561 -1164242338225/371293 -737964249150038/4826809 -488157663917379919/62748517 -335432257074176958656/815730721", "yuk": "1 161/13 11409/13 727703/13 47562257/13 3146095036/13 210382013031/13 14183506261162/13 962181210956305/13 65591345184439616/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/8","im":"0","approx_re":"-1.625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-117/280-169/560*2^(1/2)","im":"0","approx_re":"-0.844647","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-13/21","im":"0","approx_re":"-0.619047619048","approx_im":"0.0","exponents":["0","0","1","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":"-117/280+169/560*2^(1/2)","im":"0","approx_re":"0.008932","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -280*(X+1/2)^4-266*(X+1/2)^2-9, 27888*(X+1)^4+31638*(X+1)^2+3063, -1189120*(X+3/2)^4-1276704*(X+3/2)^2-75906, 21204736*(X+2)^4+11869760*(X+2)^2+941769, -1800*(4*X+9)*(4*X+11)*(4144*(X+5/2)^2+2435), 810000*(4*X+9)*(4*X+11)*(4*X+13)*(4*X+15)]", "text": "This is operator \"6.2\" from ...", "degz": 6, "h3": null, "sol": "1 93 15717/2 1345795/2 473123715/8 42544773243/8 7787361167553/16 722151543940371/16 541102909100896035/128 51071315492859914335/128", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -93 -406 -686 -560 -280 62589 174828 198966 111552 27888 -8968410 -19883232 -17329824 -7134720 -1189120 387696585 726030592 520783424 169637888 21204736 -5049297000 -7772544000 -4538188800 -1193472000 -119347200 15637050000 21617280000 11067840000 2488320000 207360000", "new_number": "6.2", "id": 414, "operator_tex": "\\theta^4-x\\left(280\\theta^4+560\\theta^3+686\\theta^2+406\\theta+93\\right)+3 x^{2}\\left(9296\\theta^4+37184\\theta^3+66322\\theta^2+58276\\theta+20863\\right)-2 x^{3}\\left(594560\\theta^4+3567360\\theta^3+8664912\\theta^2+9941616\\theta+4484205\\right)+x^{4}\\left(21204736\\theta^4+169637888\\theta^3+520783424\\theta^2+726030592\\theta+387696585\\right)-2^{3} 3^{2} 5^{2} x^{5}(4\\theta+9)(4\\theta+11)(4144\\theta^2+20720\\theta+28335)+2^{4} 3^{4} 5^{4} x^{6}(4\\theta+9)(4\\theta+11)(4\\theta+13)(4\\theta+15)", "superseek": "-8 -1552/3", "discriminant": "6 1 -280 27888 -1189120 21204736 -119347200 207360000", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "fd7b14f2d0f2a78723588771a9b1a984", "dim_h": null, "inst": " -8 -44 -1552/3 -8044 -138528 -7377560/3 -46370768 -923702508 -57511308400/3 -409728263024", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(100z-1)^2(4z-1)^2(36z-1)^2", "discr_factors": "207360000, (z-1/36)^2, (z-1/100)^2, (z-1/4)^2", "dm_basis": null, "q": "0 1 -34 627 -12164 173165 -3028038 42010079 -741949320 9120226173", "yuk": "1 -8 -360 -13976 -515176 -17316008 -531198648 -15905173432 -472936199272 -13975247955176", "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":"1/100","im":"0","approx_re":"0.01","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","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":["9/4","11/4","13/4","15/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 4*(X^2+X+1)*(18*X^2+18*X+5), 5792*X+5392*X^2+2496*X^3+2160+624*X^4, -923776*X^2-829056*X-277056-431616*X^3-71936*X^4, -25691904-53942784*X^2-2392320*X^4-62662656*X-19138560*X^3, -451584*(X+4)*(X+1)*(62*X^2+310*X+345), -113799168*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.30\" from ...", "degz": 6, "h3": null, "sol": "1 -20 480 -11264 285712 -7049280 184611840 -4663941120 124864396560 -3189771901760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 20 92 164 144 72 2160 5792 5392 2496 624 -277056 -829056 -923776 -431616 -71936 -25691904 -62662656 -53942784 -19138560 -2392320 -623185920 -1338946560 -967744512 -279982080 -27998208 -4551966720 -8876335104 -5576159232 -1365590016 -113799168", "new_number": "6.30", "id": 415, "operator_tex": "\\theta^4+2^{2} x(\\theta^2+\\theta+1)(18\\theta^2+18\\theta+5)+2^{4} x^{2}\\left(39\\theta^4+156\\theta^3+337\\theta^2+362\\theta+135\\right)-2^{6} x^{3}\\left(1124\\theta^4+6744\\theta^3+14434\\theta^2+12954\\theta+4329\\right)-2^{8} 3 7 x^{4}\\left(445\\theta^4+3560\\theta^3+10034\\theta^2+11656\\theta+4779\\right)-2^{10} 3^{2} 7^{2} x^{5}(\\theta+4)(\\theta+1)(62\\theta^2+310\\theta+345)-2^{12} 3^{4} 7^{3} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "4 436", "discriminant": "6 1 72 624 -71936 -2392320 -27998208 -113799168", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "bc45bbf252bff0ad05b31f8e076f64cb", "dim_h": null, "inst": " 4 71/2 436 6728 127212 5573691/2 67561060 1758612780 48269531104 2762033837149/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(-1+36z)(12z+1)^2(28z+1)^3", "discr_factors": "-113799168, (z+1/28)^3, -1/36+z, (z+1/12)^2", "dm_basis": null, "q": "0 1 12 -16 -4416 -124112 -2325888 -34700544 -514879488 -11862404456", "yuk": "1 4 288 11776 430880 15901504 601970688 23173443584 900410174240 35188488186592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/28","im":"0","approx_re":"-0.0357142857143","approx_im":"0.0","exponents":["0","0","-1/4","1/4"],"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","im":"0","approx_re":"0.0277777777778","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","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[729*X^4, 3402*X^2+972+3402*X, -994356*X^2-243648-783432*X-150660*X^4-602640*X^3, -27*(X+2)*(X+1)*(19327*X^2+57981*X+52674), 288*(17298*X^2+69192*X+54655)*(X+2)^2, 12325104*(X+1)*(X+2)*(X+3)*(X+4), -60984968*(X+5)*(X+4)*(X+2)*(X+1)]", "text": "This is operator \"6.31\" from ...", "degz": 6, "h3": null, "sol": "1 -4/3 196/9 -604/27 83956/81 512336/243 56314756/729 1077087056/2187 53901664756/6561 1584473183216/19683", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 729 972 3402 3402 0 0 -243648 -783432 -994356 -602640 -150660 -2844396 -7397568 -7162317 -3130974 -521829 62962560 142671744 115377120 39854592 4981824 295802496 616255200 431378640 123251040 12325104 -2439398720 -4756827504 -2988263432 -731819616 -60984968", "new_number": "6.31", "id": 416, "operator_tex": "3^{6} \\theta^4+2 3^{5} x\\left(7\\theta^2+7\\theta+2\\right)-2^{2} 3^{4} x^{2}\\left(465\\theta^4+1860\\theta^3+3069\\theta^2+2418\\theta+752\\right)-3^{3} x^{3}(\\theta+2)(\\theta+1)(19327\\theta^2+57981\\theta+52674)+2^{5} 3^{2} x^{4}(17298\\theta^2+69192\\theta+54655)(\\theta+2)^2+2^{4} 3^{2} 11 31 251 x^{5}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)-2^{3} 11^{2} 251^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "superseek": "2/3 13/3", "discriminant": "6 729 0 -150660 -521829 4981824 12325104 -60984968", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "fcd8db2a3ad7e58151e501b5872652df", "dim_h": null, "inst": " 2/3 5/3 13/3 59/3 119 2168/3 14128/3 100529/3 756002/3 5897236/3", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "-(11z-3)(22z+3)(1004z^2+66z-9)(251z^2-33z-9)", "discr_factors": "-60984968, z-3/11, z^2-33/251*z-9/251, z^2+33/502*z-9/1004, z+3/22", "dm_basis": null, "q": "0 1 -2/3 -221/9 -188/27 36061/81 -193226/243 -11334635/729 -18965576/2187 692410819/6561", "yuk": "1 2/3 14 353/3 3818/3 44627/3 156227 1615302 17158222 551125811/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/22","im":"0","approx_re":"-0.136363636364","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"33/502-45/502*5^(1/2)","im":"0","approx_re":"-0.134707","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-33/1004-45/1004*5^(1/2)","im":"0","approx_re":"-0.133091","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":"-33/1004+45/1004*5^(1/2)","im":"0","approx_re":"0.067354","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"33/502+45/502*5^(1/2)","im":"0","approx_re":"0.266181","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 24+148*X+344*X^2+392*X^3+196*X^4, 16128+73536*X+112672*X^2+75904*X^3+18976*X^4, 2903040+11114496*X+12883968*X^2+6119424*X^3+1019904*X^4, 206438400+698941440*X+656031744*X^2+240648192*X^3+30081024*X^4, 7077888*(16*X^2+80*X+35)*(2*X+5)^2, 169869312*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.39\" from ...", "degz": 6, "h3": null, "sol": "1 -24 648 -11520 -123480 18518976 -428085504 -33637773312 3723542994600 -153199327469760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 24 148 344 392 196 16128 73536 112672 75904 18976 2903040 11114496 12883968 6119424 1019904 206438400 698941440 656031744 240648192 30081024 6193152000 19110297600 15146680320 4529848320 452984832 65399685120 187535720448 129100677120 32614907904 2717908992", "new_number": "6.39", "id": 417, "operator_tex": "\\theta^4+2^{2} x\\left(49\\theta^4+98\\theta^3+86\\theta^2+37\\theta+6\\right)+2^{5} x^{2}\\left(593\\theta^4+2372\\theta^3+3521\\theta^2+2298\\theta+504\\right)+2^{10} 3 x^{3}\\left(332\\theta^4+1992\\theta^3+4194\\theta^2+3618\\theta+945\\right)+2^{14} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{18} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{21} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 3784/3", "discriminant": "6 1 196 18976 1019904 30081024 452984832 2717908992", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6429f42cbe18bee944ac13edab1fbbcc", "dim_h": null, "inst": " 8 39/2 3784/3 51036 1659840 366636055/6 2809215000 282209084769/2 7219805436704 381151634610380", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(24z+1)(110592z^3+6912z^2+108z+1)(1+32z)^2", "discr_factors": "2717908992, z+1/24, (1/32+z)^2, z^3+1/16*z^2+1/1024*z+1/110592", "dm_basis": null, "q": "0 1 52 3414 230768 15921533 1119191448 79735039930 5734644233920 415434644622486", "yuk": "1 8 164 34064 3266468 207480008 13198932200 963560745008 72245528967332 5263238163391280", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(3+2*2^(1/2))^(1/3)-1/96/(3+2*2^(1/2))^(1/3)-1/48","im":"0","approx_re":"-0.045368","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"-0.011222","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"-1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"0.011222","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4928*X-1360-6464*X^2-3072*X^3-1536*X^4, -262144*X-651264+1703936*X^2+1835008*X^3+458752*X^4, 3251634176+3615490048*X^2+5410652160*X+1207959552*X^3+201326592*X^4, -1545382920192-2714419331072*X-1846835937280*X^2-584115552256*X^3-73014444032*X^4, -259759622062080*X^2-474164389478400*X-335625924378624-65970697666560*X^3-6597069766656*X^4, 2533274790395904*(X+3)^4]", "text": "This is operator \"6.33\" from ...", "degz": 6, "h3": null, "sol": "1 1360 1516304 1522167040 1444349938960 1320519296632064 1176435721504129280 1028122237568411488256 885307276490857727434000 753420342756902018230969600", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -1360 -4928 -6464 -3072 -1536 -651264 -262144 1703936 1835008 458752 3251634176 5410652160 3615490048 1207959552 201326592 -1545382920192 -2714419331072 -1846835937280 -584115552256 -73014444032 -335625924378624 -474164389478400 -259759622062080 -65970697666560 -6597069766656 205195258022068224 273593677362757632 136796838681378816 30399297484750848 2533274790395904", "new_number": "6.33", "id": 418, "operator_tex": "\\theta^4-2^{4} x\\left(96\\theta^4+192\\theta^3+404\\theta^2+308\\theta+85\\right)+2^{12} x^{2}\\left(112\\theta^4+448\\theta^3+416\\theta^2-64\\theta-159\\right)+2^{20} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)-2^{28} x^{4}\\left(272\\theta^4+2176\\theta^3+6880\\theta^2+10112\\theta+5757\\right)-2^{38} 3 x^{5}\\left(8\\theta^4+80\\theta^3+315\\theta^2+575\\theta+407\\right)+2^{48} 3^{2} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "352 26115552", "discriminant": "6 1 -1536 458752 201326592 -73014444032 -6597069766656 2533274790395904", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0677bb20f37d2fa88bafbc665d5157c1", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(256z-1)^2(768z-1)^2(256z+1)^2", "discr_factors": "2533274790395904, (z-1/768)^2, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","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":"1/768","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","-2","3"],"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":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -324*X^2-60-192*X^3-96*X^4-228*X, -17408*X^3-9936-31744*X^2-4352*X^4-28672*X, 793856+882688*X^2+49152*X^4+1320960*X+294912*X^3, 10485760*X+9961472*X^2+458752*X^4+3670016*X^3+3084288, -478412800*X-62914560*X^3-252968960*X^2-6291456*X^4-353173504, 16777216*(X+3)^4]", "text": "This is operator \"6.34\" from ...", "degz": 6, "h3": null, "sol": "1 20/3 332/3 13360/27 966020/81 253744/9 1234573360/729 1826462528/2187 652178380780/2187 -4552695203120/19683", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 9 -60 -228 -324 -192 -96 -9936 -28672 -31744 -17408 -4352 793856 1320960 882688 294912 49152 3084288 10485760 9961472 3670016 458752 -353173504 -478412800 -252968960 -62914560 -6291456 1358954496 1811939328 905969664 201326592 16777216", "new_number": "6.34", "id": 419, "operator_tex": "3^{2} \\theta^4-2^{2} 3 x\\left(8\\theta^4+16\\theta^3+27\\theta^2+19\\theta+5\\right)-2^{4} x^{2}\\left(272\\theta^4+1088\\theta^3+1984\\theta^2+1792\\theta+621\\right)+2^{8} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)+2^{12} x^{4}\\left(112\\theta^4+896\\theta^3+2432\\theta^2+2560\\theta+753\\right)-2^{16} x^{5}\\left(96\\theta^4+960\\theta^3+3860\\theta^2+7300\\theta+5389\\right)+2^{24} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "4/3 -124/81", "discriminant": "6 9 -96 -4352 49152 458752 -6291456 16777216", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "1153f8807d42d96ede28f7a8d06c144b", "dim_h": null, "inst": " 4/3 -14/9 -124/81 -4498/243 37024/729 165074/243 80629772/19683 122791610/59049 -1576000/9 -7208283828944/4782969", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(16z-1)^2(16z-3)^2(16z+1)^2", "discr_factors": "16777216, (z-3/16)^2, (z+1/16)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 4/3 -182/3 -24976/81 544783/243 96632/3 559420178/6561 -29268772288/19683 -18960126", "yuk": "1 4/3 -100/9 -40 -290572/243 4628972/729 146680 27656038040/19683 62798695324/59049 -127656040", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","0","1","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"3/16","im":"0","approx_re":"0.1875","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -741*X^2-84-702*X^3-189*X^4-390*X, 84564*X^3+57672+195534*X^2+1458*X^4+171396*X, -6088608-6386040*X^2+1180980*X^4-12203460*X+2361960*X^3, -385944264*X-648121824*X^2-29760696*X^4-365631408*X^3-41570496, 16045266672*X-1836660096*X^3+8290479600*X^2-1836660096*X^4+7856823744, 1377495072*(3*X+5)*(3*X+4)*(2*X+3)^2]", "text": "This is operator \"6.35\" from ...", "degz": 6, "h3": null, "sol": "1 84 7452 692688 66448116 6513064848 648237493296 65250781987968 6624881063467092 677185739050601424", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -84 -390 -741 -702 -189 57672 171396 195534 84564 1458 -6088608 -12203460 -6386040 2361960 1180980 -41570496 -385944264 -648121824 -365631408 -29760696 7856823744 16045266672 8290479600 -1836660096 -1836660096 247949112960 665330119776 668085109920 297538935552 49589822592", "new_number": "6.35", "id": 420, "operator_tex": "\\theta^4-3 x\\left(63\\theta^4+234\\theta^3+247\\theta^2+130\\theta+28\\right)+2 3^{4} x^{2}\\left(9\\theta^4+522\\theta^3+1207\\theta^2+1058\\theta+356\\right)+2^{2} 3^{7} x^{3}\\left(135\\theta^4+270\\theta^3-730\\theta^2-1395\\theta-696\\right)-2^{3} 3^{10} x^{4}\\left(63\\theta^4+774\\theta^3+1372\\theta^2+817\\theta+88\\right)-2^{4} 3^{13} x^{5}\\left(72\\theta^4+72\\theta^3-325\\theta^2-629\\theta-308\\right)+2^{5} 3^{16} x^{6}(3\\theta+5)(3\\theta+4)(2\\theta+3)^2", "superseek": null, "discriminant": "6 1 -189 1458 1180980 -29760696 -1836660096 49589822592", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "de26083962cade55a4938b4011d0008e", "dim_h": null, "inst": " 21 -1617/4 7941 -986355/4 8179455 -1227169941/4 12151571244 -1015240586355/2 21975670374150 -3923026912252995/4", "cleanlist": "False", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(27z-1)(54z+1)^2(108z-1)^2", "discr_factors": "49589822592, (z+1/54)^2, z-1/54, (z-1/108)^2, z-1/27", "dm_basis": null, "q": "0 1 -54 2565 -125676 6195150 -310093758 15690242988 -802117062504 41365068279705", "yuk": "1 21 -3213 214428 -15784893 1022431896 -66266965620 4167988936713 -259901605891773 16020263702969778", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/54","im":"0","approx_re":"-0.0185185185185","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","-1/2","1","3/2"],"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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["4/3","3/2","3/2","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 98-336*X^3-840*X^4+126*X^2+294*X, -31108-25968*X^4-186660*X^2-120768*X^3-123144*X, 58112*X^4-440832*X^3-1217328-2142720*X^2-2782080*X, 61952+7815168*X^2+3895296*X+5259264*X^3+909312*X^4, 17874944+42074112*X+7864320*X^3+33030144*X^2-786432*X^4, -524288*(2*X+3)^4]", "text": "This is operator \"6.36\" from ...", "degz": 6, "h3": null, "sol": "1 -2 38 204 7462 129284 3308860 75931544 1941436582 49216354516", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 49 98 294 126 -336 -840 -31108 -123144 -186660 -120768 -25968 -1217328 -2782080 -2142720 -440832 58112 61952 3895296 7815168 5259264 909312 17874944 42074112 33030144 7864320 -786432 -42467328 -113246208 -113246208 -50331648 -8388608", "new_number": "6.36", "id": 421, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(60\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{2} x^{2}\\left(6492\\theta^4+30192\\theta^3+46665\\theta^2+30786\\theta+7777\\right)+2^{4} x^{3}\\left(3632\\theta^4-27552\\theta^3-133920\\theta^2-173880\\theta-76083\\right)+2^{9} x^{4}\\left(1776\\theta^4+10272\\theta^3+15264\\theta^2+7608\\theta+121\\right)-2^{14} x^{5}\\left(48\\theta^4-480\\theta^3-2016\\theta^2-2568\\theta-1091\\right)-2^{19} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "10/7 508/7", "discriminant": "6 49 -840 -25968 58112 909312 -786432 -8388608", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b890cacbc73012eb6554263c3ea04707", "dim_h": null, "inst": " 10/7 100/7 508/7 808 59910/7 855864/7 12382494/7 200115472/7 3327848026/7 58373507100/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(32z-1)(4z+1)^2(32z-7)^2", "discr_factors": "-8388608, z+1/16, (z+1/4)^2, z-1/32, (z-7/32)^2", "dm_basis": null, "q": "0 1 -2 -71 -236 -580 -16018 -462550 -8253320 -151220156", "yuk": "1 10/7 810/7 13726/7 362794/7 7488760/7 184881150/7 4247195452/7 102459484458/7 2426001224680/7", "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","3/2"],"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":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/32","im":"0","approx_re":"0.21875","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -176-816*X-1536*X^3-1584*X^2-96*X^4, 167936+446976*X^2+459264*X-24576*X^3-113664*X^4, 7438336*X^4+101056512*X^3+80068608*X^2+14598144*X-10665984, -1278214144+3403677696*X^4+4592762880*X^3-816316416*X^2-3641180160*X, -426543939584-631360192512*X^3-1302180397056*X^2-1206348939264*X-112742891520*X^4, -420906795008*(2*X+3)^4]", "text": "This is operator \"6.37\" from ...", "degz": 6, "h3": null, "sol": "1 176 35792 7805184 1768710928 410452182784 96794298848512 23091883451994112 5557157418591276304 1346475308960917484288", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -176 -816 -1584 -1536 -96 167936 459264 446976 -24576 -113664 -10665984 14598144 80068608 101056512 7438336 -1278214144 -3641180160 -816316416 4592762880 3403677696 -426543939584 -1206348939264 -1302180397056 -631360192512 -112742891520 -34093450395648 -90915867721728 -90915867721728 -40407052320768 -6734508720128", "new_number": "6.37", "id": 422, "operator_tex": "\\theta^4-2^{4} x\\left(6\\theta^4+96\\theta^3+99\\theta^2+51\\theta+11\\right)-2^{9} x^{2}\\left(222\\theta^4+48\\theta^3-873\\theta^2-897\\theta-328\\right)+2^{14} x^{3}\\left(454\\theta^4+6168\\theta^3+4887\\theta^2+891\\theta-651\\right)+2^{19} x^{4}\\left(6492\\theta^4+8760\\theta^3-1557\\theta^2-6945\\theta-2438\\right)-2^{28} 7 x^{5}\\left(60\\theta^4+336\\theta^3+693\\theta^2+642\\theta+227\\right)-2^{33} 7^{2} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "80 249872", "discriminant": "6 1 -96 -113664 7438336 3403677696 -112742891520 -6734508720128", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0c2998041752cbd976fcc2e18f2072ad", "dim_h": null, "inst": " 80 -4222 249872 -22251117 2195810928 -242075518566 28398707449808 -3506021022953923 449382234721506176 -59370368014417899530", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(64z-1)(224z+1)^2(256z-1)^2", "discr_factors": "-6734508720128, z-1/64, (z-1/256)^2, (z+1/224)^2, z+1/32", "dm_basis": null, "q": "0 1 -112 10624 -1182720 141298608 -18027074048 2404776557568 -332011071045632 47052345138815128", "yuk": "1 80 -33696 6746624 -1424105184 274476366080 -52288305297408 9740756655284224 -1795082765176513760 327599649111984748928", "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":"-1/224","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","-1/2","1","3/2"],"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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -168*X^4-598*X^2-528*X^3-334*X-74, 89772*X^2+75800*X+42560*X^3+24284+1040*X^4, 937856*X^2+2065920*X^3-1046784*X-830080+582400*X^4, -117092352*X^2-41107456+3829760*X^4-119742464*X-35471360*X^3, -3860594688*X-4028891136*X^2-1394343936-1875640320*X^3-325582848*X^4, -37748736*(3*X+5)^2*(3*X+4)^2]", "text": "This is operator \"6.38\" from ...", "degz": 6, "h3": null, "sol": "1 74 6354 585020 55958290 5480448804 545384635596 54901271764296 5574757048469010 569912441021078420", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -74 -334 -598 -528 -168 24284 75800 89772 42560 1040 -830080 -1046784 937856 2065920 582400 -41107456 -119742464 -117092352 -35471360 3829760 -1394343936 -3860594688 -4028891136 -1875640320 -325582848 -15099494400 -40768634880 -41108373504 -18345885696 -3057647616", "new_number": "6.38", "id": 423, "operator_tex": "\\theta^4-2 x\\left(84\\theta^4+264\\theta^3+299\\theta^2+167\\theta+37\\right)+2^{2} x^{2}\\left(260\\theta^4+10640\\theta^3+22443\\theta^2+18950\\theta+6071\\right)+2^{7} x^{3}\\left(4550\\theta^4+16140\\theta^3+7327\\theta^2-8178\\theta-6485\\right)+2^{12} x^{4}\\left(935\\theta^4-8660\\theta^3-28587\\theta^2-29234\\theta-10036\\right)-2^{18} 3 x^{5}\\left(414\\theta^4+2385\\theta^3+5123\\theta^2+4909\\theta+1773\\right)-2^{22} 3^{2} x^{6}(3\\theta+5)^2(3\\theta+4)^2", "superseek": "2 952", "discriminant": "6 1 -168 1040 582400 3829760 -325582848 -3057647616", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ab13475ec61ba4278f6e59d858b5c527", "dim_h": null, "inst": " 2 -172 952 -45148 17303644/25 -26019072 600090980 -21048155292 596535616354 -515471219056408/25", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+16z+256z^2)(32z+1)^2(108z-1)^2", "discr_factors": "-3057647616, (z-1/108)^2, (z+1/32)^2, -1/256+1/16*z+z^2", "dm_basis": null, "q": "0 1 -38 871 -23804 626435 -18458314 559674337 -18113570392 599615908222", "yuk": "1 2 -1374 25706 -2890846 86518222 -5620095222 205831206142 -10776658400350 434874464347772", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","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","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","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","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":["4/3","4/3","5/3","5/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1554-12914*X-60702*X^2-95576*X^3+62504*X^4, 98893668+480978064*X+1392981860*X^2-3405985824*X^3+567961584*X^4, 318108479472+2523806475792*X+4388036250752*X^2+6250502592768*X^3-12867680148736*X^4, 7694834671368768+41581392893776960*X+87886999560343424*X^2+90246759904394240*X^3+40005029653114624*X^4, 9338644224*(X+1)*(6017971352*X^3+13862309856*X^2+7944674578*X+1672187649), -59961931355296246348800*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.40\" from ...", "degz": 6, "h3": null, "sol": "1 1554 4332150 14528884020 53714646216630 211334648964711804 868739276207152857276 3690298968820833939209640 16082382099608640992322135990 71544662387897974658747973068460", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -1554 -12914 -60702 -95576 62504 98893668 480978064 1392981860 -3405985824 567961584 318108479472 2523806475792 4388036250752 6250502592768 -12867680148736 7694834671368768 41581392893776960 87886999560343424 90246759904394240 40005029653114624 15615965529777989376 89808454889177326848 203647669227432009216 185654873274584942592 56199693406552270848 -599619313552962463488000 -2338515322856553607603200 -2938134636409516071091200 -1439086352527109912371200 -239847725421184985395200", "new_number": "6.40", "id": 424, "operator_tex": "\\theta^4+2 x\\left(31252\\theta^4-47788\\theta^3-30351\\theta^2-6457\\theta-777\\right)+2^{2} x^{2}\\left(141990396\\theta^4-851496456\\theta^3+348245465\\theta^2+120244516\\theta+24723417\\right)-2^{4} 7 x^{3}\\left(114890001328\\theta^4-55808058864\\theta^3-39178895096\\theta^2-22533986391\\theta-2840254281\\right)+2^{6} 7^{2} x^{4}\\left(12756705884284\\theta^4+28777665785840\\theta^3+28025191186334\\theta^2+13259372733985\\theta+2453710035513\\right)+2^{8} 3^{4} 7^{3} 13 101 x^{5}(\\theta+1)(6017971352\\theta^3+13862309856\\theta^2+7944674578\\theta+1672187649)-2^{10} 3^{10} 5^{2} 7^{5} 13^{2} 37^{2} 101^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "24586 329889747608", "discriminant": "6 1 62504 567961584 -12867680148736 40005029653114624 56199693406552270848 -239847725421184985395200", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "36fe35d15f62636c9a59974b02c3c153", "dim_h": null, "inst": " 24586 -65016808 329889747608 -2211583844012928 17318548806048850836 -149761488144894571484864 1387367505862789635983742588 -13519360263668834761391739753264 136946485913091444889518277634936990 -1430374711078281659867909524153808788528", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(2916z-1)(5476z-1)(2268z+1)(4900z-1)(1+36764z)^2", "discr_factors": "-239847725421184985395200, z-1/2916, z+1/2268, (1/36764+z)^2, z-1/4900, z-1/5476", "dm_basis": null, "q": "0 1 -6698 54504831 -498530146660 4918157493252935 -51128968633091270550 552217354868522438045677 -6139231053402030354298174568 69812681845489017347118057447168", "yuk": "1 24586 -520109878 8907023210002 -141541366536937270 2164818600756106379086 -32348481439288320937655086 475867054510936845142423732270 -6921912454998443539373937290608438 99833988230643663324458833302892275712", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2268","im":"0","approx_re":"-0.000440917107584","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36764","im":"0","approx_re":"-2.720052225e-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":"1/5476","im":"0","approx_re":"0.00018261504748","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4900","im":"0","approx_re":"0.000204081632653","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/2916","im":"0","approx_re":"0.000342935528121","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","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -20832*X^4-20328*X^3-15750*X^2-5586*X-784, 3065568*X^4+4739808*X^3+4043188*X^2+1816304*X+335104, -207097856*X^4-453667200*X^3-491369152*X^2-256875696*X-51444064, 6782284032*X^4+21334995456*X^3+27915672384*X^2+16721014848*X+3660106624, -260096*(X+1)*(390972*X^3+1350660*X^2+1486781*X+460439), 139792236544*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.3\" from ...", "degz": 6, "h3": null, "sol": "1 16 864 80800 9624160 1298457216 189187469856 29065426625664 4642948645077600 764217020993620480", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 49 -784 -5586 -15750 -20328 -20832 335104 1816304 4043188 4739808 3065568 -51444064 -256875696 -491369152 -453667200 -207097856 3660106624 16721014848 27915672384 21334995456 6782284032 -119758342144 -506464133120 -738007054336 -452991516672 -101690253312 1397922365440 5451897225216 6849819590656 3355013677056 559168946176", "new_number": "6.3", "id": 425, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(1488\\theta^4+1452\\theta^3+1125\\theta^2+399\\theta+56\\right)+2^{2} x^{2}\\left(766392\\theta^4+1184952\\theta^3+1010797\\theta^2+454076\\theta+83776\\right)-2^{4} x^{3}\\left(12943616\\theta^4+28354200\\theta^3+30710572\\theta^2+16054731\\theta+3215254\\right)+2^{6} x^{4}\\left(105973188\\theta^4+333359304\\theta^3+436182381\\theta^2+261265857\\theta+57189166\\right)-2^{11} 127 x^{5}(\\theta+1)(390972\\theta^3+1350660\\theta^2+1486781\\theta+460439)+2^{14} 23^{2} 127^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "178/7 129516/7", "discriminant": "6 49 -20832 3065568 -207097856 6782284032 -101690253312 559168946176", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ec9e21dc2ccd3b4b4156ae1438454b96", "dim_h": null, "inst": " 178/7 3375/7 129516/7 6515900/7 409239710/7 29732192762/7 2381477190166/7 204433165592840/7 18494912599411778/7 1743947625117701865/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(1-248z+8464z^2)(508z-7)^2(16z-1)^2", "discr_factors": "559168946176, 1/8464-31/1058*z+z^2, (z-7/508)^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 -50 857 -43532 -275940 -100383426 -7088749302 -728504871752 -71513069258332", "yuk": "1 178/7 27178/7 3497110/7 417044778/7 51154963928/7 6422157160702/7 816846676227116/7 104669781200578858/7 13482791284974683272/7", "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":"31/2116-3/529*3^(1/2)","im":"0","approx_re":"0.004828","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/508","im":"0","approx_re":"0.0137795275591","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"31/2116+3/529*3^(1/2)","im":"0","approx_re":"0.024473","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","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[361*X^4, -82327*X^4-118028*X^3-90782*X^2-31768*X-4332, 4307495*X^4+7600484*X^3+6216406*X^2+2802424*X+530556, -93729369*X^4-213316800*X^3-236037196*X^2-125748612*X-25260804, 963255200*X^4+3114116800*X^3+4165791036*X^2+2527211236*X+554043972, -1636*(X+1)*(2851324*X^3+10035516*X^2+11221241*X+3481470), 2173983876*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.4\" from ...", "degz": 6, "h3": null, "sol": "1 12 588 46200 4446540 479645712 55701589944 6812461820736 865769606945100 113329467477866640", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 361 -4332 -31768 -90782 -118028 -82327 530556 2802424 6216406 7600484 4307495 -25260804 -125748612 -236037196 -213316800 -93729369 554043972 2527211236 4165791036 3114116800 963255200 -5695684920 -24053635196 -34776054452 -21082870240 -4664766064 21739838760 84785371164 106525209924 52175613024 8695935504", "new_number": "6.4", "id": 426, "operator_tex": "19^{2} \\theta^4-19 x\\left(4333\\theta^4+6212\\theta^3+4778\\theta^2+1672\\theta+228\\right)+x^{2}\\left(4307495\\theta^4+7600484\\theta^3+6216406\\theta^2+2802424\\theta+530556\\right)-x^{3}\\left(93729369\\theta^4+213316800\\theta^3+236037196\\theta^2+125748612\\theta+25260804\\right)+2^{2} x^{4}\\left(240813800\\theta^4+778529200\\theta^3+1041447759\\theta^2+631802809\\theta+138510993\\right)-2^{2} 409 x^{5}(\\theta+1)(2851324\\theta^3+10035516\\theta^2+11221241\\theta+3481470)+2^{2} 3^{2} 19^{2} 409^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "370/19 140636/19", "discriminant": "6 361 -82327 4307495 -93729369 963255200 -4664766064 8695935504", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0f3ddf420018e2870561a3e9fd2551cc", "dim_h": null, "inst": " 370/19 276 140636/19 5568700/19 277119292/19 15745336064/19 981366492904/19 3447094749868 4605736683107190/19 337534917416943468/19", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(9z-1)(5776z^3-1920z^2+176z-1)(-19+409z)^2", "discr_factors": "8695935504, z-1/9, (-19/409+z)^2, z^3-120/361*z^2+11/361*z-1/5776", "dm_basis": null, "q": "0 1 -40 412 -12524 -223434 -23485456 -1525491926 -115480412576 -8944553556143", "yuk": "1 370/19 42322/19 3797542/19 356439122/19 34639911870/19 3400996429318/19 336608707066442/19 33533338083155026/19 3357582041988939052/19", "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":"-1/4332*(19608426+3121206*33^(1/2))^(1/3)-3316/361/(19608426+3121206*33^(1/2))^(1/3)+40/361","im":"0","approx_re":"0.006077","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"19/409","im":"0","approx_re":"0.0464547677262","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/8664*(19608426+3121206*33^(1/2))^(1/3)+1658/361/(19608426+3121206*33^(1/2))^(1/3)+40/361","im":"1/4*3^(1/2)*(-1/2166*(19608426+3121206*33^(1/2))^(1/3)+6632/361/(19608426+3121206*33^(1/2))^(1/3))","approx_re":"0.163166","approx_im":"-0.043179","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8664*(19608426+3121206*33^(1/2))^(1/3)+1658/361/(19608426+3121206*33^(1/2))^(1/3)+40/361","im":"-1/4*3^(1/2)*(-1/2166*(19608426+3121206*33^(1/2))^(1/3)+6632/361/(19608426+3121206*33^(1/2))^(1/3))","approx_re":"0.163166","approx_im":"0.043179","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","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-64*X-125*X^2-122*X^3-61*X^4, -576-4176*X-8264*X^2-6176*X^3-1544*X^4, 622080+2414592*X+2823168*X^2+1345536*X^3+224256*X^4, -51609600-174735360*X-164007936*X^2-60162048*X^3-7520256*X^4, 1769472*(16*X^2+80*X+35)*(2*X+5)^2, -42467328*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.5\" from ...", "degz": 6, "h3": null, "sol": "1 12 324 5760 215460 2549232 200116224 -782825472 277853698980 -7114516952400", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -64 -125 -122 -61 -576 -4176 -8264 -6176 -1544 622080 2414592 2823168 1345536 224256 -51609600 -174735360 -164007936 -60162048 -7520256 1548288000 4777574400 3786670080 1132462080 113246208 -16349921280 -46883930112 -32275169280 -8153726976 -679477248", "new_number": "6.5", "id": 427, "operator_tex": "\\theta^4-x\\left(12+64\\theta+125\\theta^2+122\\theta^3+61\\theta^4\\right)-2^{3} x^{2}\\left(193\\theta^4+772\\theta^3+1033\\theta^2+522\\theta+72\\right)+2^{9} 3 x^{3}\\left(146\\theta^4+876\\theta^3+1838\\theta^2+1572\\theta+405\\right)-2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{16} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{19} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-11 -3422/3", "discriminant": "6 1 -61 -1544 224256 -7520256 113246208 -679477248", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6a4aeb5833b7673c962d5598842d3f2c", "dim_h": null, "inst": " -11 68 -3422/3 30735 -1014993 37434552 -1486568559 62556815721 -8291619038429/3 127231570499928", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(24z-1)(27648z^3-1728z^2+27z+1)(-1+32z)^2", "discr_factors": "-679477248, z-1/24, (-1/32+z)^2, z^3-1/16*z^2+1/1024*z+1/27648", "dm_basis": null, "q": "0 1 -16 -114 20776 -936859 27143952 -486221306 1441150448 149478220674", "yuk": "1 -11 533 -30809 1967573 -126874136 8085832967 -509893015748 32029091616725 -2014863426369056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(17+12*2^(1/2))^(1/3)-1/96/(17+12*2^(1/2))^(1/3)+1/48","im":"0","approx_re":"-0.016119","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"-0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"-1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-100*X-305*X^2-410*X^3-205*X^4, -3168-14976*X-23744*X^2-16256*X^3-4064*X^4, -87480-336492*X-391668*X^2-186336*X^3-31056*X^4, -806400-2730240*X-2562624*X^2-940032*X^3-117504*X^4, -3456*(16*X^2+80*X+35)*(2*X+5)^2, -10368*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.6\" from ...", "degz": 6, "h3": null, "sol": "1 12 972 106200 14027580 2067427152 327459248424 54573068762784 9445628232122940 1683369975662266320", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -100 -305 -410 -205 -3168 -14976 -23744 -16256 -4064 -87480 -336492 -391668 -186336 -31056 -806400 -2730240 -2562624 -940032 -117504 -3024000 -9331200 -7395840 -2211840 -221184 -3991680 -11446272 -7879680 -1990656 -165888", "new_number": "6.6", "id": 428, "operator_tex": "\\theta^4-x\\left(12+100\\theta+305\\theta^2+410\\theta^3+205\\theta^4\\right)-2^{5} x^{2}\\left(127\\theta^4+508\\theta^3+742\\theta^2+468\\theta+99\\right)-2^{2} 3 x^{3}\\left(2588\\theta^4+15528\\theta^3+32639\\theta^2+28041\\theta+7290\\right)-2^{6} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{7} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{7} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "25 17452", "discriminant": "6 1 -205 -4064 -31056 -117504 -221184 -165888", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e97e9b0e87960fe4cffbb22a5e935b4a", "dim_h": null, "inst": " 25 446 17452 958347 65098152 5055483196 430715448330 39283093415433 11323641414587648/3 377927448242942418", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z+1)(3456z^3+1728z^2+216z-1)(4z+1)^2", "discr_factors": "-165888, (z+1/4)^2, z^3+1/2*z^2+1/16*z-1/3456, z+1/3", "dm_basis": null, "q": "0 1 -52 264 -860 -1537708 -103113984 -9739921118 -1015028462344 -107590224786822", "yuk": "1 25 3593 471229 61337801 8137269025 1091984845133 147735398777215 20112943890039497 2751644863745269693", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24*2^(1/3)-1/48*2^(2/3)-1/6","im":"-1/24*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.252234","approx_im":"-0.033647","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24*2^(1/3)-1/48*2^(2/3)-1/6","im":"1/24*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.252234","approx_im":"0.033647","exponents":["0","1","1","2"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12*2^(1/3)+1/24*2^(2/3)-1/6","im":"0","approx_re":"0.004468","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -126*X^4-252*X^3-231*X^2-105*X-18, 7857*X^4+31428*X^3+47169*X^2+31482*X+7128, -349920*X^4-2099520*X^3-4425516*X^2-3828708*X-1006020, 10707552*X^4+85660416*X^3+233519112*X^2+248793120*X+73483200, -2834352*(16*X^2+80*X+35)*(2*X+5)^2, 76527504*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.7\" from ...", "degz": 6, "h3": null, "sol": "1 18 378 8820 266490 8688708 247642164 6595916184 212629478490 7830581178420", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -105 -231 -252 -126 7128 31482 47169 31428 7857 -1006020 -3828708 -4425516 -2099520 -349920 73483200 248793120 233519112 85660416 10707552 -2480058000 -7652750400 -6065513280 -1813985280 -181398528 29463089040 84486364416 58160903040 14693280768 1224440064", "new_number": "6.7", "id": 429, "operator_tex": "\\theta^4-3 x\\left(42\\theta^4+84\\theta^3+77\\theta^2+35\\theta+6\\right)+3^{3} x^{2}\\left(291\\theta^4+1164\\theta^3+1747\\theta^2+1166\\theta+264\\right)-2^{2} 3^{5} x^{3}\\left(360\\theta^4+2160\\theta^3+4553\\theta^2+3939\\theta+1035\\right)+2^{3} 3^{8} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{4} 3^{11} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{4} 3^{14} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-9 217/3", "discriminant": "6 1 -126 7857 -349920 10707552 -181398528 1224440064", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9492f991c909a6774f5546668ff53b6a", "dim_h": null, "inst": " -9 18 217/3 -9 -146079 24412075/3 -308382426 9737440047 -856982681864/3 8889098301450", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z-1)(34992z^3-1944z^2+27z-1)(-1+36z)^2", "discr_factors": "1224440064, z-1/27, (-1/36+z)^2, z^3-1/18*z^2+1/1296*z-1/34992", "dm_basis": null, "q": "0 1 -33 1386 -66479 3301242 -165260790 8325015305 -422661117873 21630151957212", "yuk": "1 -9 135 1944 -441 -18259884 1757671488 -105775172127 4985569303623 -208246791691008", "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":"-1/216*(17+12*2^(1/2))^(1/3)-1/216/(17+12*2^(1/2))^(1/3)+1/54","im":"-1/18*3^(1/2)*(1/12*(17+12*2^(1/2))^(1/3)-1/12/(17+12*2^(1/2))^(1/3))","approx_re":"0.002095","approx_im":"-0.023494","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/216*(17+12*2^(1/2))^(1/3)-1/216/(17+12*2^(1/2))^(1/3)+1/54","im":"1/18*3^(1/2)*(1/12*(17+12*2^(1/2))^(1/3)-1/12/(17+12*2^(1/2))^(1/3))","approx_re":"0.002095","approx_im":"0.023494","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","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":"1/108*(17+12*2^(1/2))^(1/3)+1/108/(17+12*2^(1/2))^(1/3)+1/54","im":"0","approx_re":"0.051365","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -65533*X^4-99242*X^3-74971*X^2-25350*X-3380, 5957080*X^4+12486736*X^3+12080808*X^2+6145360*X+1248624, -236733120*X^4-654585984*X^3-804420096*X^2-464488128*X-99535488, 4723212800*X^4+17241773056*X^3+25236014080*X^2+16307101184*X+3735926784, -208896*(X+1)*(222704*X^3+833160*X^2+989659*X+317310), 45086441472*(X+1)*(X+2)*(2*X+1)*(2*X+5)]", "text": "This is operator \"6.8\" from ...", "degz": 6, "h3": null, "sol": "1 20 1524 196400 31587220 5722985520 1118464762800 230426664262080 49357356300638100 10893607292632235600", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 169 -3380 -25350 -74971 -99242 -65533 1248624 6145360 12080808 12486736 5957080 -99535488 -464488128 -804420096 -654585984 -236733120 3735926784 16307101184 25236014080 17241773056 4723212800 -66284789760 -273020596224 -380779597824 -220565766144 -46521974784 450864414720 1758371217408 2209235632128 1082074595328 180345765888", "new_number": "6.8", "id": 430, "operator_tex": "13^{2} \\theta^4-13 x\\left(5041\\theta^4+7634\\theta^3+5767\\theta^2+1950\\theta+260\\right)+2^{3} x^{2}\\left(744635\\theta^4+1560842\\theta^3+1510101\\theta^2+768170\\theta+156078\\right)-2^{6} 3 x^{3}\\left(1232985\\theta^4+3409302\\theta^3+4189688\\theta^2+2419209\\theta+518414\\right)+2^{9} x^{4}\\left(9225025\\theta^4+33675338\\theta^3+49289090\\theta^2+31849807\\theta+7296732\\right)-2^{12} 3 17 x^{5}(\\theta+1)(222704\\theta^3+833160\\theta^2+989659\\theta+317310)+2^{15} 3^{2} 17^{2} 23^{2} x^{6}(\\theta+1)(\\theta+2)(2\\theta+1)(2\\theta+5)", "superseek": "567/13 512341/13", "discriminant": "6 169 -65533 5957080 -236733120 4723212800 -46521974784 180345765888", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "00104510dfaa4ae75940f08df0a52bf5", "dim_h": null, "inst": " 567/13 11392/13 512341/13 34191454/13 2850663840/13 271552091292/13 28401421258434/13 3181262602886126/13 375500615867335284/13 46192689096277540140/13", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(1-293z+4232z^2)(408z-13)^2(16z-1)^2", "discr_factors": "180345765888, (z-13/408)^2, 1/4232-293/4232*z+z^2, (z-1/16)^2", "dm_basis": null, "q": "0 1 -70 1683 -88400 -661915 -345043794 -32308316307 -4302717734816 -553378095040209", "yuk": "1 567/13 91703/13 13833774/13 2188344759/13 356332980567/13 58655265643982/13 9741687491643429/13 1628806454866041271/13 273739948967301255810/13", "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":"293/8464-41/8464*41^(1/2)","im":"0","approx_re":"0.0036","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/408","im":"0","approx_re":"0.031862745098","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"293/8464+41/8464*41^(1/2)","im":"0","approx_re":"0.065634","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","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[6561*X^4, -13122-72171*X-159975*X^2-175608*X^3-99954*X^4, -428004-1521180*X-2033921*X^2-1177556*X^3-205589*X^4, 2310517*X^4+12882402*X^3+26939429*X^2+25052328*X+8683524, -32579600-84939800*X-80445300*X^2-33268700*X^3-5152600*X^4, 2500*(X+1)*(1593*X^3+8667*X^2+15104*X+8516), -250000*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"6.9\" from ...", "degz": 6, "h3": "162", "sol": "1 2 14 104 1030 10852 124424 1489168 18523558 236834780", "n_discr_factors": "3", "c3": "-88", "operator": "4 6 0 0 0 0 6561 -13122 -72171 -159975 -175608 -99954 -428004 -1521180 -2033921 -1177556 -205589 8683524 25052328 26939429 12882402 2310517 -32579600 -84939800 -80445300 -33268700 -5152600 21290000 59050000 59427500 25650000 3982500 -4500000 -12750000 -13250000 -6000000 -1000000", "new_number": "6.9", "id": 431, "operator_tex": "3^{8} \\theta^4-3^{4} x\\left(1234\\theta^4+2168\\theta^3+1975\\theta^2+891\\theta+162\\right)-x^{2}\\left(428004+1521180\\theta+2033921\\theta^2+1177556\\theta^3+205589\\theta^4\\right)+x^{3}\\left(2310517\\theta^4+12882402\\theta^3+26939429\\theta^2+25052328\\theta+8683524\\right)-2^{2} 5^{2} x^{4}\\left(51526\\theta^4+332687\\theta^3+804453\\theta^2+849398\\theta+325796\\right)+2^{2} 5^{4} x^{5}(\\theta+1)(1593\\theta^3+8667\\theta^2+15104\\theta+8516)-2^{4} 5^{6} x^{6}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "31/81 29/9", "discriminant": "6 6561 -99954 -205589 2310517 -5152600 3982500 -1000000", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": "132", "hash": "98af5121f39c27098356e3ade277f975", "dim_h": "38", "inst": " 31/81 40/27 29/9 1532/81 6551/81 42442/81 250475/81 588796/27 12225961/81 91935268/81", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(16z-1)(25z^3-17z^2+2z+1)(-81+50z)^2", "discr_factors": "-1000000, z^3-17/25*z^2+2/25*z+1/25, (-81/50+z)^2, z-1/16", "dm_basis": null, "q": "0 1 -3 -7 27 -119 -173 -1634 -13683 -110258", "yuk": "1 31/81 991/81 7078/81 33013/27 818906/81 9175510/81 9545884/9 100498855/9 8912732647/81", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"0","approx_re":"-0.17455","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/300*(58796+6900*69^(1/2))^(1/3)+139/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"1/2*3^(1/2)*(-1/150*(58796+6900*69^(1/2))^(1/3)+278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"0.427275","approx_im":"-0.215865","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/300*(58796+6900*69^(1/2))^(1/3)+139/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"-1/2*3^(1/2)*(-1/150*(58796+6900*69^(1/2))^(1/3)+278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"0.427275","approx_im":"0.215865","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"81/50","im":"0","approx_re":"1.62","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","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[3*X^4, -1200*X^4-1500*X^3-1500*X^2-750*X-150, 187740*X^4+435960*X^3+557100*X^2+354780*X+89400, -14322000*X^4-45360000*X^3-66078000*X^2-45909000*X-12219000, 532800000*X^4+1994400000*X^3+3029250000*X^2+2059950000*X+523800000, -15000000*(X+1)^2*(524*X^2+1096*X+611), 2000000000*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.13\" from ...", "degz": 6, "h3": null, "sol": "1 50 3450 267500 22029250 1882312500 40070712812500/243 8582299119171875000/583443 28749442551877343750/21609 638895192146725039062500/5250987", "n_discr_factors": null, "c3": null, "operator": "4 6 0 0 0 0 3 -150 -750 -1500 -1500 -1200 89400 354780 557100 435960 187740 -12219000 -45909000 -66078000 -45360000 -14322000 523800000 2059950000 3029250000 1994400000 532800000 -9165000000 -34770000000 -49905000000 -32160000000 -7860000000 8000000000 24000000000 26000000000 12000000000 2000000000", "new_number": "6.13", "id": 583, "operator_tex": "3 \\theta^4-2 3 5^{2} x\\left(8\\theta^4+10\\theta^3+10\\theta^2+5\\theta+1\\right)+2^{2} 3 5 x^{2}\\left(3129\\theta^4+7266\\theta^3+9285\\theta^2+5913\\theta+1490\\right)-2^{3} 3 5^{3} x^{3}\\left(4774\\theta^4+15120\\theta^3+22026\\theta^2+15303\\theta+4073\\right)+2^{4} 3 5^{5} x^{4}\\left(3552\\theta^4+13296\\theta^3+20195\\theta^2+13733\\theta+3492\\right)-2^{6} 3 5^{7} x^{5}(\\theta+1)^2(524\\theta^2+1096\\theta+611)+2^{10} 5^{9} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "0 0", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "b7b28238d79425febad0c26d36cce7ef", "dim_h": null, "inst": " 0 165/4 0 -44335/8 0 13953739445/6561 185200000000000/2470629 48581886883225/15552 2872156814000000000000/26795786661 83062447138990159/36450", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -50 1635 -38500 687275 -9888750 87784671125/729 -24861386713175000/12252303 19044062514606250/1361367", "yuk": "1 0 330 0 -354350 0 111629995750/243 185200000000000/7203 388655008958750/243 2872156814000000000000/36756909", "gv2": null, "gv0": null, "gv1": null}, {"pols": "[X^4, -9-48*X-104*X^2-112*X^3-41*X^4, 1146+3980*X+5186*X^2+2716*X^3+334*X^4, -18018-44376*X-32478*X^2-1644*X^3+2546*X^4, -32670-166800*X-259390*X^2-148700*X^3-19615*X^4, -25*(X+1)*(2929*X^3+4467*X^2-1969*X-4047), 22500*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"6.35\" from ...", "degz": 6, "h3": null, "sol": "1 9 105 1425 21465 349569 6049761 109894185 2075840505 40482257025", "n_discr_factors": null, "c3": null, "operator": "4 6 0 0 0 0 1 -9 -48 -104 -112 -41 1146 3980 5186 2716 334 -18018 -44376 -32478 -1644 2546 -32670 -166800 -259390 -148700 -19615 101175 150400 -62450 -184900 -73225 405000 1147500 1192500 540000 90000", "new_number": "6.35", "id": 584, "operator_tex": "\\theta^4-x\\left(9+48\\theta+104\\theta^2+112\\theta^3+41\\theta^4\\right)+2 x^{2}\\left(167\\theta^4+1358\\theta^3+2593\\theta^2+1990\\theta+573\\right)+2 x^{3}\\left(1273\\theta^4-822\\theta^3-16239\\theta^2-22188\\theta-9009\\right)-5 x^{4}\\left(3923\\theta^4+29740\\theta^3+51878\\theta^2+33360\\theta+6534\\right)-5^{2} x^{5}(\\theta+1)(2929\\theta^3+4467\\theta^2-1969\\theta-4047)+2^{2} 3^{2} 5^{4} x^{6}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "2 224/9", "discriminant": null, "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "31d226ff68f616edaab012f85462b8e9", "dim_h": null, "inst": " 2 -4 224/9 -112 4446/5 -49628/9 46974 -341400 9101936/3 -121028712/5", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -12 122 -1224 12115 -120528 1200422 -12031512 121015921", "yuk": "1 2 -30 674 -7198 111152 -1190430 16112084 -174803998 2211771122", "gv2": null, "gv0": null, "gv1": null}]}