{"count": 10, "status":"OK", "data":[{"pols": "[8281*X^4, -149058*X-358540*X^2-24843-418964*X^3-202111*X^4, -2334422*X^2-1508962*X-381836-551550*X^4-1700064*X^3, 27353*X^4-6829166*X^2-6586125*X-2489994*X^3-2242968, -46728731*X-12063734*X^3-18386820-508804*X^4-40173426*X^2, -2006931+958242*X^3+100350*X^4-2299608*X^2-4654581*X, 2892684+47526449*X^2+4076796*X^4+26519901*X+28614978*X^3, -5850690-12822522*X-9083012*X^2-192542*X^4-2272522*X^3, -13*(X+1)*(257369*X^3+699321*X^2+523184*X+25156), 3380*(X+2)*(X+1)*(227*X^2+762*X+681), -219700*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"10.1\" from ...", "degz": 10, "h3": null, "sol": "1 3 29 393 6333 113163 2166599 43569627 908948749 19510486719", "n_discr_factors": "2", "c3": null, "operator": "4 10 0 0 0 0 8281 -24843 -149058 -358540 -418964 -202111 -381836 -1508962 -2334422 -1700064 -551550 -2242968 -6586125 -6829166 -2489994 27353 -18386820 -46728731 -40173426 -12063734 -508804 -2006931 -4654581 -2299608 958242 100350 2892684 26519901 47526449 28614978 4076796 -5850690 -12822522 -9083012 -2272522 -192542 -327028 -7128420 -15892565 -12436970 -3345797 4603560 12056460 11562980 4877340 767260 -2636400 -6151600 -5053100 -1757600 -219700", "new_number": "10.1", "id": 317, "operator_tex": "7^{2} 13^{2} \\theta^4-7 13 x\\left(2221\\theta^4+4604\\theta^3+3940\\theta^2+1638\\theta+273\\right)-2 x^{2}\\left(275775\\theta^4+850032\\theta^3+1167211\\theta^2+754481\\theta+190918\\right)+x^{3}\\left(27353\\theta^4-6829166\\theta^2-6586125\\theta-2489994\\theta^3-2242968\\right)-x^{4}\\left(46728731\\theta+12063734\\theta^3+18386820+508804\\theta^4+40173426\\theta^2\\right)+3 x^{5}\\left(33450\\theta^4+319414\\theta^3-766536\\theta^2-1551527\\theta-668977\\right)+x^{6}\\left(2892684+47526449\\theta^2+4076796\\theta^4+26519901\\theta+28614978\\theta^3\\right)-2 x^{7}\\left(96271\\theta^4+1136261\\theta^3+4541506\\theta^2+6411261\\theta+2925345\\right)-13 x^{8}(\\theta+1)(257369\\theta^3+699321\\theta^2+523184\\theta+25156)+2^{2} 5 13^{2} x^{9}(\\theta+2)(\\theta+1)(227\\theta^2+762\\theta+681)-2^{2} 5^{2} 13^{3} x^{10}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "118/91 268/13", "discriminant": "10 8281 -202111 -551550 27353 -508804 100350 4076796 -192542 -3345797 767260 -219700", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "9708eba070b10afbba48d1f539423c22", "dim_h": null, "inst": " 118/91 373/91 268/13 12732/91 105020/91 141027/13 10132651/91 15899010/13 183821689/13 15497571885/91", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "9", "laurent": null, "discriminant_tex": "-(-1+25z+49z^2+36z^3+199z^4-40z^5+13z^6)(-91-27z+130z^2)^2", "discr_factors": "-219700, -1/13+25/13*z+49/13*z^2+36/13*z^3+199/13*z^4-40/13*z^5+z^6, (-7/10-27/130*z+z^2)^2", "dm_basis": null, "q": "0 1 -6 0 -9 -257 -2665 -31979 -379639 -4878923", "yuk": "1 118/91 3102/91 50770/91 116850/13 1875374/13 213286578/91 3475499411/91 8140409970/13 938042129737/91", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"27/260-1/260*48049^(1/2)","im":"0","approx_re":"-0.739234","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":"27/260+1/260*48049^(1/2)","im":"0","approx_re":"0.946926","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 12+56*X+100*X^2+88*X^3+172*X^4, 12048*X^4+14784*X^3+17712*X^2+9952*X+2256, 432256*X^4+923904*X^3+1185408*X^2+737792*X+186240, 7751680*X^4+25311232*X^3+35200000*X^2+22459392*X+5437440, 33214464*X^4+188669952*X^3+212963328*X^2-3096576*X-67424256, -1147650048*X^4-4994629632*X^3-12364333056*X^2-15859777536*X-7297449984, -17323130880*X^4-99635429376*X^3-245132034048*X^2-295728316416*X-130689662976, -3737124864*X^4-44845498368*X^3-20978860032*X^2-20384317440*X-23272095744, 1353518678016*X^4+9702935101440*X^3+28091627864064*X^2+35372906053632*X+15653117362176, 48922361856*(X+1)*(109*X^3+651*X^2+1373*X+933), -1174136684544*(X+1)*(X+2)*(27*X^2+153*X+199), -169075682574336*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"12.5\" from ...", "degz": 12, "h3": null, "sol": "1 -12 180 -2736 42948 -691632 11651184 -208526400 3997652292 -81421375536", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 12 56 100 88 172 2256 9952 17712 14784 12048 186240 737792 1185408 923904 432256 5437440 22459392 35200000 25311232 7751680 -67424256 -3096576 212963328 188669952 33214464 -7297449984 -15859777536 -12364333056 -4994629632 -1147650048 -130689662976 -295728316416 -245132034048 -99635429376 -17323130880 -23272095744 -20384317440 -20978860032 -44845498368 -3737124864 15653117362176 35372906053632 28091627864064 9702935101440 1353518678016 45644563611648 112814966439936 99018860396544 37180995010560 5332537442304 -467306400448512 -1060245426143232 -835985319395328 -274747984183296 -31701690482688 -2028908190892032 -4734119112081408 -3888740699209728 -1352605460594688 -169075682574336", "new_number": "12.5", "id": 358, "operator_tex": "\\theta^4+2^{2} x\\left(43\\theta^4+22\\theta^3+25\\theta^2+14\\theta+3\\right)+2^{4} x^{2}\\left(753\\theta^4+924\\theta^3+1107\\theta^2+622\\theta+141\\right)+2^{7} x^{3}\\left(3377\\theta^4+7218\\theta^3+9261\\theta^2+5764\\theta+1455\\right)+2^{10} x^{4}\\left(7570\\theta^4+24718\\theta^3+34375\\theta^2+21933\\theta+5310\\right)+2^{12} 3^{2} x^{5}\\left(901\\theta^4+5118\\theta^3+5777\\theta^2-84\\theta-1829\\right)-2^{14} 3^{2} x^{6}\\left(7783\\theta^4+33872\\theta^3+83851\\theta^2+107556\\theta+49489\\right)-2^{17} 3^{3} x^{7}\\left(4895\\theta^4+28154\\theta^3+69267\\theta^2+83564\\theta+36929\\right)-2^{20} 3^{4} x^{8}\\left(44\\theta^4+528\\theta^3+247\\theta^2+240\\theta+274\\right)+2^{23} 3^{5} x^{9}\\left(664\\theta^4+4760\\theta^3+13781\\theta^2+17353\\theta+7679\\right)+2^{26} 3^{6} x^{10}(\\theta+1)(109\\theta^3+651\\theta^2+1373\\theta+933)-2^{29} 3^{7} x^{11}(\\theta+1)(\\theta+2)(27\\theta^2+153\\theta+199)-2^{33} 3^{9} x^{12}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "4 2252/9", "discriminant": "12 1 172 12048 432256 7751680 33214464 -1147650048 -17323130880 -3737124864 1353518678016 5332537442304 -31701690482688 -169075682574336", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bb257a283455fdd1fa17fef9649505e3", "dim_h": null, "inst": " 4 -31 2252/9 -11109/4 33312 -4091081/9 6559596 -399687825/4 1577400224 -25647405040", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(16z+1)(432z^2+36z+1)(24z+1)^2(288z^2+48z+1)^2(8z-1)^3", "discr_factors": "-169075682574336, (z^2+1/6*z+1/288)^2, z^2+1/12*z+1/432, (z+1/24)^2, (z-1/8)^3, z+1/16", "dm_basis": null, "q": "0 1 8 54 -128 -2875 -72144 -100310 -7419904 102483090", "yuk": "1 4 -244 6760 -177988 4164004 -98179432 2249941432 -51160219588 1149924770056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/12-1/24*2^(1/2)","im":"0","approx_re":"-0.142259","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12+1/24*2^(1/2)","im":"0","approx_re":"-0.024408","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":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -32*X^4-100*X^3-78*X^2-28*X-4, -248-856*X-876*X^4-1340*X^2-1560*X^3, -9312-17088*X^3-42560*X^2-32352*X-1840*X^4, 7808*X^4-50432*X^3+9664*X^2-58432*X-44544, 635136+1958400*X-232704*X^4+2269440*X^2+1142784*X^3, 10905600-2193408*X^3+17694720*X^2+25555968*X-113664*X^4, -2482176*X^4-2015232*X^3-2506752*X^2+41263104*X+32489472, -61734912-142245888*X+4718592*X^4-45318144*X^2+93192192*X^3, -249298944+575668224*X^3+802553856*X^2+58982400*X-11665408*X^4, -126877696*X^4+557842432*X^3+3221225472*X^2+3876585472*X+1413480448, 41943040*(X+1)*(21*X^3+63*X^2+206*X+218), 838860800*(X+2)*(X+1)*(2*X^2-12*X-27), 16777216000*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.15\" from ...", "degz": 13, "h3": null, "sol": "1 4 76 1936 57820 1922224 68529616 2567560384 99833328604 3995000055280", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -4 -28 -78 -100 -32 -248 -856 -1340 -1560 -876 -9312 -32352 -42560 -17088 -1840 -44544 -58432 9664 -50432 7808 635136 1958400 2269440 1142784 -232704 10905600 25555968 17694720 -2193408 -113664 32489472 41263104 -2506752 -2015232 -2482176 -61734912 -142245888 -45318144 93192192 4718592 -249298944 58982400 802553856 575668224 -11665408 1413480448 3876585472 3221225472 557842432 -126877696 9143582720 17783848960 11282677760 3523215360 880803840 -45298483200 -88080384000 -49492787200 -5033164800 1677721600 201326592000 469762048000 385875968000 134217728000 16777216000", "new_number": "13.15", "id": 367, "operator_tex": "\\theta^4-2 x\\left(16\\theta^4+50\\theta^3+39\\theta^2+14\\theta+2\\right)-2^{2} x^{2}\\left(219\\theta^4+390\\theta^3+335\\theta^2+214\\theta+62\\right)-2^{4} x^{3}\\left(115\\theta^4+1068\\theta^3+2660\\theta^2+2022\\theta+582\\right)+2^{6} x^{4}\\left(122\\theta^4-788\\theta^3+151\\theta^2-913\\theta-696\\right)-2^{8} 3 x^{5}\\left(303\\theta^4-1488\\theta^3-2955\\theta^2-2550\\theta-827\\right)-2^{10} 3 x^{6}\\left(37\\theta^4+714\\theta^3-5760\\theta^2-8319\\theta-3550\\right)-2^{13} 3 x^{7}\\left(101\\theta^4+82\\theta^3+102\\theta^2-1679\\theta-1322\\right)+2^{15} 3 x^{8}\\left(48\\theta^4+948\\theta^3-461\\theta^2-1447\\theta-628\\right)-2^{17} x^{9}\\left(89\\theta^4-4392\\theta^3-6123\\theta^2-450\\theta+1902\\right)-2^{20} x^{10}\\left(121\\theta^4-532\\theta^3-3072\\theta^2-3697\\theta-1348\\right)+2^{23} 5 x^{11}(\\theta+1)(21\\theta^3+63\\theta^2+206\\theta+218)+2^{25} 5^{2} x^{12}(\\theta+2)(\\theta+1)(2\\theta^2-12\\theta-27)+2^{27} 5^{3} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "6 626/3", "discriminant": "13 1 -32 -876 -1840 7808 -232704 -113664 -2482176 4718592 -11665408 -126877696 880803840 1677721600 16777216000", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "3e24fdfe8119ac950ce846460f109e44", "dim_h": null, "inst": " 6 41/4 626/3 12349/8 33062 5728907/12 9908166 1526186815/8 4159057094 364170185561/4", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "11", "laurent": null, "discriminant_tex": "(4z-1)(4z+1)(16z^2+4z+1)(640z^3+96z^2+48z-1)(1+6z-48z^2+320z^3)^2", "discr_factors": "16777216000, z^3+3/20*z^2+3/40*z-1/640, z+1/4, (1/320+3/160*z-3/20*z^2+z^3)^2, z-1/4, z^2+1/4*z+1/16", "dm_basis": null, "q": "0 1 -12 28 -352 622 -97680 -716520 -31206656 -560990939", "yuk": "1 6 88 5640 98880 4132756 103126048 3398500944 97676055040 3031952627166", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"-1/8*3^(1/2)","approx_re":"-0.125","approx_im":"-0.216506","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"1/8*3^(1/2)","approx_re":"-0.125","approx_im":"0.216506","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/40*2^(1/3)+3/80*2^(2/3)-1/20","im":"-1/8*3^(1/2)*(3/5*2^(1/3)+3/10*2^(2/3))","approx_re":"-0.084967","approx_im":"-0.266773","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/40*2^(1/3)+3/80*2^(2/3)-1/20","im":"1/8*3^(1/2)*(3/5*2^(1/3)+3/10*2^(2/3))","approx_re":"-0.084967","approx_im":"0.266773","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/40*(122+10*151^(1/2))^(1/3)+3/20/(122+10*151^(1/2))^(1/3)+1/20","im":"0","approx_re":"-0.082432","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/20*2^(1/3)-3/40*2^(2/3)-1/20","im":"0","approx_re":"0.019933","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80*(122+10*151^(1/2))^(1/3)-3/40/(122+10*151^(1/2))^(1/3)+1/20","im":"1/4*3^(1/2)*(-1/20*(122+10*151^(1/2))^(1/3)-3/10/(122+10*151^(1/2))^(1/3))","approx_re":"0.116216","approx_im":"-0.156217","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80*(122+10*151^(1/2))^(1/3)-3/40/(122+10*151^(1/2))^(1/3)+1/20","im":"-1/4*3^(1/2)*(-1/20*(122+10*151^(1/2))^(1/3)-3/10/(122+10*151^(1/2))^(1/3))","approx_re":"0.116216","approx_im":"0.156217","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -106*X^4-140*X^3-125*X^2-55*X-10, 2472+4265*X^4+12596*X^3+15925*X^2+9718*X, -195296-467544*X^3-74768*X^4-840944*X^2-642984*X, 83856*X^4+8318688*X^3+23431824*X^2+22106112*X+7771200, -176547456+20897472*X^4-38021568*X^3-352505664*X^2-431668032*X, 2270502912-1313616384*X^3-391995648*X^4+2036996352*X^2+4467165696*X, 2628943872*X^4+28598661120*X^3+19941605376*X^2-10287378432*X-12628795392, -50065072128+14254089216*X^4-235057170432*X^3-431131579392*X^2-284714698752*X, 967588577280+175444328448*X^3-463201460224*X^4+2064314425344*X^2+2573642760192*X, 4632867045376*X^4+14014241964032*X^3+16620846841856*X^2+7969362608128*X+989774086144, -38273024*(X+1)*(680053*X^3+2794143*X^2+4238129*X+2311527), 22351446016*(X+2)*(X+1)*(3707*X^2+13713*X+13693), -117479200260096*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"13.16\" from ...", "degz": 13, "h3": null, "sol": "1 10 118 1864 38566 940420 25106320 709108480 20845048870 631743322060", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -10 -55 -125 -140 -106 2472 9718 15925 12596 4265 -195296 -642984 -840944 -467544 -74768 7771200 22106112 23431824 8318688 83856 -176547456 -431668032 -352505664 -38021568 20897472 2270502912 4467165696 2036996352 -1313616384 -391995648 -12628795392 -10287378432 19941605376 28598661120 2628943872 -50065072128 -284714698752 -431131579392 -235057170432 14254089216 967588577280 2573642760192 2064314425344 175444328448 -463201460224 989774086144 7969362608128 16620846841856 14014241964032 4632867045376 -88469128347648 -250675141279744 -269146315030528 -132967986888704 -26027684790272 612116700594176 1531185809326080 1391288108711936 555075810361344 82856810381312 -1409750403121152 -3289417607282688 -2702021605982208 -939833602080768 -117479200260096", "new_number": "13.16", "id": 368, "operator_tex": "\\theta^4-x\\left(106\\theta^4+140\\theta^3+125\\theta^2+55\\theta+10\\right)+x^{2}\\left(2472+4265\\theta^4+12596\\theta^3+15925\\theta^2+9718\\theta\\right)-2^{3} x^{3}\\left(9346\\theta^4+58443\\theta^3+105118\\theta^2+80373\\theta+24412\\right)+2^{4} 3 x^{4}\\left(1747\\theta^4+173306\\theta^3+488163\\theta^2+460544\\theta+161900\\right)+2^{6} 3 x^{5}\\left(108841\\theta^4-198029\\theta^3-1835967\\theta^2-2248271\\theta-919518\\right)-2^{8} 3 x^{6}\\left(510411\\theta^4+1710438\\theta^3-2652339\\theta^2-5816622\\theta-2956384\\right)+2^{12} 3 x^{7}\\left(213944\\theta^4+2327365\\theta^3+1622852\\theta^2-837189\\theta-1027734\\right)+2^{10} 3 x^{8}\\left(4640003\\theta^4-76516006\\theta^3-140342311\\theta^2-92680566\\theta-16297224\\right)-2^{13} x^{9}\\left(56543147\\theta^4-21416544\\theta^3-251991507\\theta^2-314165376\\theta-118113840\\right)+2^{16} x^{10}\\left(70691941\\theta^4+213840362\\theta^3+253613996\\theta^2+121602823\\theta+15102754\\right)-2^{19} 73 x^{11}(\\theta+1)(680053\\theta^3+2794143\\theta^2+4238129\\theta+2311527)+2^{22} 73^{2} x^{12}(\\theta+2)(\\theta+1)(3707\\theta^2+13713\\theta+13693)-2^{25} 3^{2} 73^{3} x^{13}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "5 581/3", "discriminant": "13 1 -106 4265 -74768 83856 20897472 -391995648 2628943872 14254089216 -463201460224 4632867045376 -26027684790272 82856810381312 -117479200260096", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "2ab5512d2cfda3cde6ee0ea98a12d6fb", "dim_h": null, "inst": " 5 -53/4 581/3 -1231 19810 -733571/4 3135120 -34295069 612366711 -14786470665/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "11", "laurent": null, "discriminant_tex": "-(9z-1)(8z-1)(4672z^3-840z^2+57z-1)(64z^2-8z+1)(1-12z-192z^2+2336z^3)^2", "discr_factors": "-117479200260096, z^2-1/8*z+1/64, z-1/9, (1/2336-3/584*z-6/73*z^2+z^3)^2, z-1/8, z^3-105/584*z^2+57/4672*z-1/4672", "dm_basis": null, "q": "0 1 -15 204 -3329 53781 -910080 15391345 -266886135 4620961179", "yuk": "1 5 -101 5234 -78885 2476255 -39607706 1075346165 -17559154213 446415337553", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/292*10^(1/3)-3/292*10^(2/3)+2/73","im":"0","approx_re":"-0.071938","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":"-9/292*3^(1/3)+3/584*3^(2/3)+35/584","im":"0","approx_re":"0.026164","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"-1/16*3^(1/2)","approx_re":"0.0625","approx_im":"-0.108253","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"1/16*3^(1/2)","approx_re":"0.0625","approx_im":"0.108253","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/584*3^(1/3)-3/1168*3^(2/3)+35/584","im":"1/2*3^(1/2)*(-9/292*3^(1/3)-3/584*3^(2/3))","approx_re":"0.076815","approx_im":"-0.047751","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"9/584*3^(1/3)-3/1168*3^(2/3)+35/584","im":"-1/2*3^(1/2)*(-9/292*3^(1/3)-3/584*3^(2/3))","approx_re":"0.076815","approx_im":"0.047751","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/584*10^(1/3)+3/584*10^(2/3)+2/73","im":"1/4*3^(1/2)*(-7/146*10^(1/3)+3/146*10^(2/3))","approx_re":"0.077065","approx_im":"-0.003429","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"7/584*10^(1/3)+3/584*10^(2/3)+2/73","im":"-1/4*3^(1/2)*(-7/146*10^(1/3)+3/146*10^(2/3))","approx_re":"0.077065","approx_im":"0.003429","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":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -76*X^4-80*X^3-73*X^2-33*X-6, 2209*X^4+4228*X^3+4745*X^2+2726*X+648, -31230*X^4-83628*X^3-109782*X^2-73296*X-20232, 225180*X^4+797904*X^3+1263060*X^2+987120*X+307152, -216*(X+1)*(3707*X^3+14055*X^2+20242*X+10704), 15552*(X+1)*(X+2)*(86*X^2+285*X+262), -839808*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.10\" from ...", "degz": 7, "h3": null, "sol": "1 6 60 816 13104 232416 4408296 87822720 1816916256 38731107264", "n_discr_factors": "5", "c3": null, "operator": "4 7 0 0 0 0 1 -6 -33 -73 -80 -76 648 2726 4745 4228 2209 -20232 -73296 -109782 -83628 -31230 307152 987120 1263060 797904 225180 -2312064 -6684336 -7408152 -3836592 -800712 8149248 21088512 20046528 8444736 1337472 -10077696 -23514624 -19315584 -6718464 -839808", "new_number": "7.10", "id": 432, "operator_tex": "\\theta^4-x\\left(76\\theta^4+80\\theta^3+73\\theta^2+33\\theta+6\\right)+x^{2}\\left(2209\\theta^4+4228\\theta^3+4745\\theta^2+2726\\theta+648\\right)-2 3^{2} x^{3}\\left(1735\\theta^4+4646\\theta^3+6099\\theta^2+4072\\theta+1124\\right)+2^{2} 3^{3} x^{4}\\left(2085\\theta^4+7388\\theta^3+11695\\theta^2+9140\\theta+2844\\right)-2^{3} 3^{3} x^{5}(\\theta+1)(3707\\theta^3+14055\\theta^2+20242\\theta+10704)+2^{6} 3^{5} x^{6}(\\theta+1)(\\theta+2)(86\\theta^2+285\\theta+262)-2^{7} 3^{8} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "1 11", "discriminant": "7 1 -76 2209 -31230 225180 -800712 1337472 -839808", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b1c277f62ba740f9f7e0371ba53e4194", "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": "-(3z-1)(18z-1)(27z-1)(12z-1)^2(-1+2z)^2", "discr_factors": "-839808, z-1/18, z-1/27, (-1/2+z)^2, (z-1/12)^2, z-1/3", "dm_basis": null, "q": "0 1 -9 44 -207 949 -5616 15965 -166089 -97109", "yuk": "1 1 27 298 3227 41851 612630 8688877 118689947 1595596861", "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":"1/27","im":"0","approx_re":"0.037037037037","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":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","3","4"],"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":"1/2","im":"0","approx_re":"0.5","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","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, X*(39*X^3-30*X^2-19*X-4), 32*X^4-2140*X^3-2114*X^2-1352*X-384, -36*(3*X+2)*(171*X^3+566*X^2+600*X+316), -331776*X^4-1332288*X^3-2276640*X^2-1877472*X-606528, -1728*(X+1)*(1393*X^3+5571*X^2+8378*X+4584), -248832*(X+1)*(X+2)*(31*X^2+105*X+98), -8957952*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.3\" from ...", "degz": 7, "h3": null, "sol": "1 0 24 192 3384 51840 911040 16369920 307009080 5902176000", "n_discr_factors": "6", "c3": null, "operator": "4 7 0 0 0 0 1 0 -4 -19 -30 39 -384 -1352 -2114 -2140 32 -22752 -77328 -105552 -73440 -18468 -606528 -1877472 -2276640 -1332288 -331776 -7921152 -22398336 -24103872 -12033792 -2407104 -48771072 -125411328 -118195200 -49268736 -7713792 -107495424 -250822656 -206032896 -71663616 -8957952", "new_number": "7.3", "id": 446, "operator_tex": "\\theta^4+x\\theta(39\\theta^3-30\\theta^2-19\\theta-4)+2 x^{2}\\left(16\\theta^4-1070\\theta^3-1057\\theta^2-676\\theta-192\\right)-2^{2} 3^{2} x^{3}(3\\theta+2)(171\\theta^3+566\\theta^2+600\\theta+316)-2^{5} 3^{3} x^{4}\\left(384\\theta^4+1542\\theta^3+2635\\theta^2+2173\\theta+702\\right)-2^{6} 3^{3} x^{5}(\\theta+1)(1393\\theta^3+5571\\theta^2+8378\\theta+4584)-2^{10} 3^{5} x^{6}(\\theta+1)(\\theta+2)(31\\theta^2+105\\theta+98)-2^{12} 3^{7} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "3 64", "discriminant": "7 1 39 32 -18468 -331776 -2407104 -7713792 -8957952", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "8413250555ca536f1bdccfeed506ea4e", "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": "-(8z+1)(24z-1)(3z+1)(4z+1)(12z+1)(1+18z)^2", "discr_factors": "-8957952, z+1/4, z+1/3, z+1/8, (1/18+z)^2, z+1/12, z-1/24", "dm_basis": null, "q": "0 1 -4 -16 -40 604 -9872 56092 -1429424 10490134", "yuk": "1 3 -29 1731 -16221 536503 -5529629 151608747 -1639702365 41235888189", "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":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18","im":"0","approx_re":"-0.0555555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"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","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -336*X^4-420*X^3-399*X^2-189*X-36, 4393*X^4+9340*X^3+10903*X^2+6360*X+1488, -23338*X^4-55440*X^3-54038*X^2-16920*X+1824, 27196*X^4-41152*X^3-328732*X^2-476672*X-210688, 56*(X+1)*(2611*X^3+15537*X^2+26998*X+14360), -3136*(X+1)*(X+2)*(83*X^2+105*X-66), -351232*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.6\" from ...", "degz": 7, "h3": null, "sol": "1 4 28 232 2188 22624 250936 2937232 35844748 451950352", "n_discr_factors": "6", "c3": null, "operator": "4 7 0 0 0 0 9 -36 -189 -399 -420 -336 1488 6360 10903 9340 4393 1824 -16920 -54038 -55440 -23338 -210688 -476672 -328732 -41152 27196 804160 2316048 2381960 1016288 146216 413952 -37632 -1301440 -1110144 -260288 -4214784 -9834496 -8078336 -2809856 -351232", "new_number": "7.6", "id": 449, "operator_tex": "3^{2} \\theta^4-3 x\\left(112\\theta^4+140\\theta^3+133\\theta^2+63\\theta+12\\right)+x^{2}\\left(4393\\theta^4+9340\\theta^3+10903\\theta^2+6360\\theta+1488\\right)-2 x^{3}\\left(11669\\theta^4+27720\\theta^3+27019\\theta^2+8460\\theta-912\\right)+2^{2} x^{4}\\left(6799\\theta^4-10288\\theta^3-82183\\theta^2-119168\\theta-52672\\right)+2^{3} 7 x^{5}(\\theta+1)(2611\\theta^3+15537\\theta^2+26998\\theta+14360)-2^{6} 7^{2} x^{6}(\\theta+1)(\\theta+2)(83\\theta^2+105\\theta-66)-2^{10} 7^{3} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "1/3 5/3", "discriminant": "7 9 -336 4393 -23338 27196 146216 -260288 -351232", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "24ba77c97bc4b46c39a41c77cc1d1ef4", "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": "-(2z+1)(8z-1)(7z-1)(16z-1)(z+1)(-3+14z)^2", "discr_factors": "-351232, z-1/8, z+1, z+1/2, z-1/16, z-1/7, (-3/14+z)^2", "dm_basis": null, "q": "0 1 -5 10 5 -150 370 -583 -4805 -2132", "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":"-1","im":"0","approx_re":"-1.0","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":"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":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/7","im":"0","approx_re":"0.142857142857","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"0","approx_re":"0.214285714286","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -528*X^4-660*X^3-618*X^2-288*X-54, 11692*X^4+26440*X^3+32164*X^2+19632*X+4824, -123365*X^4-374814*X^3-519741*X^2-346176*X-89676, 619314*X^4+2205876*X^3+3182314*X^2+2065840*X+499480, -88*(X+1)*(12897*X^3+35469*X^2+31181*X+8042), -968*(X+1)*(X+2)*(355*X^2+1047*X+806), -21296*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.7\" from ...", "degz": 7, "h3": null, "sol": "1 6 56 636 8196 115896 1760276 28269576 474290356 8236197816", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 9 -54 -288 -618 -660 -528 4824 19632 32164 26440 11692 -89676 -346176 -519741 -374814 -123365 499480 2065840 3182314 2205876 619314 -707696 -3451624 -5865200 -4256208 -1134936 -1560416 -4367616 -4507976 -2044416 -343640 -255552 -596288 -489808 -170368 -21296", "new_number": "7.7", "id": 450, "operator_tex": "3^{2} \\theta^4-2 3 x\\left(88\\theta^4+110\\theta^3+103\\theta^2+48\\theta+9\\right)+2^{2} x^{2}\\left(2923\\theta^4+6610\\theta^3+8041\\theta^2+4908\\theta+1206\\right)-x^{3}\\left(123365\\theta^4+374814\\theta^3+519741\\theta^2+346176\\theta+89676\\right)+2 x^{4}\\left(309657\\theta^4+1102938\\theta^3+1591157\\theta^2+1032920\\theta+249740\\right)-2^{3} 11 x^{5}(\\theta+1)(12897\\theta^3+35469\\theta^2+31181\\theta+8042)-2^{3} 11^{2} x^{6}(\\theta+1)(\\theta+2)(355\\theta^2+1047\\theta+806)-2^{4} 11^{3} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "2/3 13/3", "discriminant": "7 9 -528 11692 -123365 619314 -1134936 -343640 -21296", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "c7abb9c42d46f14955f0f23351082bef", "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-1)(4z^2+22z-1)(z^2+11z-1)(-3+22z)^2", "discr_factors": "-21296, (-3/22+z)^2, z^2+11*z-1, z^2+11/2*z-1/4, z-1/11", "dm_basis": null, "q": "0 1 -8 39 -152 361 -836 -1083 -7528 -101565", "yuk": "1 2/3 14 353/3 3818/3 44627/3 156227 1615302 17158222 551125811/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/2-5/2*5^(1/2)","im":"0","approx_re":"-11.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/4-5/4*5^(1/2)","im":"0","approx_re":"-5.545085","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/4+5/4*5^(1/2)","im":"0","approx_re":"0.045085","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/2+5/2*5^(1/2)","im":"0","approx_re":"0.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/11","im":"0","approx_re":"0.0909090909091","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","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -816*X^4-1020*X^3-1041*X^2-531*X-108, 31273*X^4+76540*X^3+103783*X^2+71112*X+19728, -656438*X^4-2362320*X^3-3955914*X^2-3240072*X-1044576, 8147996*X^4+38411008*X^3+76088452*X^2+70904768*X+25237632, -136*(X+1)*(439669*X^3+2114103*X^2+3708554*X+2306280), 499392*(X+1)*(X+2)*(481*X^2+1875*X+1962), -407503872*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.8\" from ...", "degz": 7, "h3": null, "sol": "1 12 156 2136 30348 443232 6612024 100296432 1541950092 23968741296", "n_discr_factors": "6", "c3": null, "operator": "4 7 0 0 0 0 9 -108 -531 -1041 -1020 -816 19728 71112 103783 76540 31273 -1044576 -3240072 -3955914 -2362320 -656438 25237632 70904768 76088452 38411008 8147996 -313654080 -818017424 -791881352 -347312992 -59794984 1959614208 4812141312 4269302208 1656982656 240207552 -4890046464 -11410108416 -9372589056 -3260030976 -407503872", "new_number": "7.8", "id": 451, "operator_tex": "3^{2} \\theta^4-3 x\\left(272\\theta^4+340\\theta^3+347\\theta^2+177\\theta+36\\right)+x^{2}\\left(31273\\theta^4+76540\\theta^3+103783\\theta^2+71112\\theta+19728\\right)-2 x^{3}\\left(328219\\theta^4+1181160\\theta^3+1977957\\theta^2+1620036\\theta+522288\\right)+2^{2} x^{4}\\left(2036999\\theta^4+9602752\\theta^3+19022113\\theta^2+17726192\\theta+6309408\\right)-2^{3} 17 x^{5}(\\theta+1)(439669\\theta^3+2114103\\theta^2+3708554\\theta+2306280)+2^{6} 3^{3} 17^{2} x^{6}(\\theta+1)(\\theta+2)(481\\theta^2+1875\\theta+1962)-2^{10} 3^{4} 17^{3} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "-1/3 -5/3", "discriminant": "7 9 -816 31273 -656438 8147996 -59794984 240207552 -407503872", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d5b8cfd5049e5d8670dac5bb5499d46a", "dim_h": null, "inst": " -1/3 11/12 -5/3 19/3 -29 1691/12 -702 11624/3 -67528/3 544423/4", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "7", "n_sing": "7", "laurent": null, "discriminant_tex": "-(17z-1)(9z-1)(8z-1)(18z-1)(16z-1)(-3+34z)^2", "discr_factors": "-407503872, z-1/18, z-1/8, z-1/9, (-3/34+z)^2, z-1/17, z-1/16", "dm_basis": null, "q": "0 1 -11 106 -981 8906 -79826 709113 -6259755 55003180", "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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"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":"1/17","im":"0","approx_re":"0.0588235294118","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/34","im":"0","approx_re":"0.0882352941176","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":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","2","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -288*X^4-360*X^3-381*X^2-201*X-42, 35073*X^4+85860*X^3+118881*X^2+83214*X+23472, -2340090*X^4-8424324*X^3-14284998*X^2-11871036*X-3875040, 92352636*X^4+435545424*X^3+869227524*X^2+817972992*X+293874480, -4251528*(X+1)*(507*X^3+2439*X^2+4306*X+2704), 306110016*(X+1)*(X+2)*(90*X^2+351*X+370), -148769467776*(X+1)*(X+2)^2*(X+3)]", "text": "This is operator \"7.9\" from ...", "degz": 7, "h3": null, "sol": "1 42 1872 86712 4126716 200324232 9870518664 491971281984 24744102202764 1253607240829272", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -42 -201 -381 -360 -288 23472 83214 118881 85860 35073 -3875040 -11871036 -14284998 -8424324 -2340090 293874480 817972992 869227524 435545424 92352636 -11496131712 -29803211280 -28676556360 -12525001488 -2155524696 226521411840 554671348992 490694355648 190094319936 27549901440 -1785233613312 -4165545097728 -3421697758848 -1190155742208 -148769467776", "new_number": "7.9", "id": 452, "operator_tex": "\\theta^4-3 x\\left(96\\theta^4+120\\theta^3+127\\theta^2+67\\theta+14\\right)+3^{2} x^{2}\\left(3897\\theta^4+9540\\theta^3+13209\\theta^2+9246\\theta+2608\\right)-2 3^{4} x^{3}\\left(14445\\theta^4+52002\\theta^3+88179\\theta^2+73278\\theta+23920\\right)+2^{2} 3^{6} x^{4}\\left(31671\\theta^4+149364\\theta^3+298089\\theta^2+280512\\theta+100780\\right)-2^{3} 3^{12} x^{5}(\\theta+1)(507\\theta^3+2439\\theta^2+4306\\theta+2704)+2^{6} 3^{14} x^{6}(\\theta+1)(\\theta+2)(90\\theta^2+351\\theta+370)-2^{7} 3^{19} x^{7}(\\theta+1)(\\theta+2)^2(\\theta+3)", "superseek": "-3 -245/3", "discriminant": "7 1 -288 35073 -2340090 92352636 -2155524696 27549901440 -148769467776", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5641c09b76662b0741e41b41b0c6f105", "dim_h": null, "inst": " -3 69/4 -245/3 879 -11829 1987219/12 -2570790 43196640 -2285716376/3 55956638451/4", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(36z-1)^2(27z-1)^2(54z-1)^3", "discr_factors": "-148769467776, (z-1/54)^3, (z-1/36)^2, (z-1/27)^2", "dm_basis": null, "q": "0 1 -33 954 -26687 733938 -19944846 537750017 -14419345233 385065685188", "yuk": "1 -3 135 -2208 56391 -1478628 35767872 -881780973 22116736071 -555429081576", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","0","-1/3","1/3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","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","2","3"],"monodromy":[],"monodromy_dm":[]}]}]}