{"count": 17, "status":"OK", "data":[{"pols": "[X^4, -368*X^4-224*X^3-208*X^2-96*X-16, 2048*X*(21*X^3+24*X^2+18*X+4), -65536*(2*X+1)*(10*X^3+7*X^2-5*X-4), -8388608*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Operator equivalent to 3.34, equivalent to\nAESZ 107 $=d \\ast d$.", "degz": 4, "h3": null, "sol": "1 16 912 67840 5839120 545884416 53886556416 5527209971712 583312107240720 62928509796655360", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -16 -96 -208 -224 -368 0 8192 36864 49152 43008 262144 851968 196608 -1572864 -1310720 -25165824 -117440512 -192937984 -134217728 -33554432", "new_number": "4.35", "id": 132, "operator_tex": "\\theta^4-2^{4} x\\left(23\\theta^4+14\\theta^3+13\\theta^2+6\\theta+1\\right)+2^{11} x^{2}\\theta(21\\theta^3+24\\theta^2+18\\theta+4)-2^{16} x^{3}(2\\theta+1)(10\\theta^3+7\\theta^2-5\\theta-4)-2^{23} x^{4}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "-16 -1744", "discriminant": "4 1 -368 43008 -1310720 -33554432", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "cd392ce4c33f242f5d17e59976d0ea4f", "dim_h": null, "inst": " -16 -106 -1744 -29526 -644016 -14437922 -359438736 -9163638478 -246345604992 -6752150271598", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(16z+1)(128z-1)^3", "discr_factors": "-33554432, (z-1/128)^3, z+1/16", "dm_basis": null, "q": "0 1 -32 -96 7168 -52944 -857088 -1792512 -175964160 -8774633832", "yuk": "1 -16 -864 -47104 -1890528 -80502016 -3118639104 -123287486464 -4691784791264 -179585946086272", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -320*X^4-896*X^3-608*X^2-160*X-16, -86016*X^4-245760*X^3-267264*X^2-137216*X-25600, -65536*(2*X+1)^2*(23*X^2+55*X+39), -8388608*(2*X+1)^2*(2*X+3)^2]", "text": "Sporadic Operator.\nReducible to 3.32, so not a primary operator.\nB-Incarnation: 81111- x 82--11\n", "degz": 4, "h3": "8", "sol": "1 16 3600 851200 257328400 86333942016 31204775137536 11874454884864000 4695209743316835600 1912190218793129017600", "n_discr_factors": "2", "c3": "-8", "operator": "4 4 0 0 0 0 1 -16 -160 -608 -896 -320 -25600 -137216 -267264 -245760 -86016 -2555904 -13828096 -26148864 -20447232 -6029312 -75497472 -402653184 -738197504 -536870912 -134217728", "new_number": "4.41", "id": 139, "operator_tex": "\\theta^4-2^{4} x\\left(20\\theta^4+56\\theta^3+38\\theta^2+10\\theta+1\\right)-2^{10} x^{2}\\left(84\\theta^4+240\\theta^3+261\\theta^2+134\\theta+25\\right)-2^{16} x^{3}(2\\theta+1)^2(23\\theta^2+55\\theta+39)-2^{23} x^{4}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "128 382592", "discriminant": "4 1 -320 -86016 -6029312 -134217728", "aesz": "220", "n_sing_complex": "0", "inst_int": "", "c2h": "32", "hash": "671a1aa788ead53985e13ad6774d0189", "dim_h": "4", "inst": " 128 4084 382592 51510860 8644861312 1659459740132 349956800171136 79045292244127852 18815837160365104128 4668098318162928620860", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(512z-1)(64z+1)^3", "discr_factors": "-134217728, (z+1/64)^3, z-1/512", "dm_basis": null, "q": "0 1 -96 -3360 47104 -59645904 -11999339520 -2746669569536 -697657825099776 -183142363318091112", "yuk": "1 128 32800 10330112 3296727840 1080607664128 358443314231296 120035182458699776 40471189632290188064 13716745289906171239424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","3/2","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":"1/512","im":"0","approx_re":"0.001953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-68*X-148*X^2-160*X^3-208*X^4, 1968+11008*X+24192*X^2+24576*X^3+15360*X^4, -152832-720896*X-1327104*X^2-1179648*X^3-458752*X^4, 16384*(4*X+5)^2*(4*X+3)^2]", "text": "Sporadic Operator, reducible to 3.33, so not a primary operator.", "degz": 4, "h3": null, "sol": "1 12 324 11856 504900 23475312 1155060144 59120134848 3115322063172 167873343726000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -12 -68 -148 -160 -208 1968 11008 24192 24576 15360 -152832 -720896 -1327104 -1179648 -458752 3686400 15728640 24641536 16777216 4194304", "new_number": "4.71", "id": 172, "operator_tex": "\\theta^4-2^{2} x\\left(52\\theta^4+40\\theta^3+37\\theta^2+17\\theta+3\\right)+2^{4} x^{2}\\left(960\\theta^4+1536\\theta^3+1512\\theta^2+688\\theta+123\\right)-2^{8} x^{3}\\left(1792\\theta^4+4608\\theta^3+5184\\theta^2+2816\\theta+597\\right)+2^{14} x^{4}(4\\theta+5)^2(4\\theta+3)^2", "superseek": "-4 -1580/9", "discriminant": "4 1 -208 15360 -458752 4194304", "aesz": "353", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "33845d8200fe810109063e352fbfc8b1", "dim_h": null, "inst": " -4 -24 -1580/9 -1580 -17120 -621272/3 -2660236 -35601596 -493759552 -7061891648", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(16z-1)(64z-1)^3", "discr_factors": "4194304, z-1/16, (z-1/64)^3", "dm_basis": null, "q": "0 1 -20 174 -1808 10485 -97368 267922 -6478144 -38096766", "yuk": "1 -4 -196 -4744 -101316 -2140004 -44736520 -912460952 -18228118468 -359950718152", "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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/4","3/4","5/4","5/4"],"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, -140*X^4-152*X^3-140*X^2-64*X-12, 8736*X^4+17088*X^3+20592*X^2+12640*X+3216, -315392*X^4-824832*X^3-1141056*X^2-811072*X-236352, 7199488*X^4+22632448*X^3+33786112*X^2+25145856*X+7554816, -104279040*X^4-378722304*X^3-599851008*X^2-439520256*X-124710912, 860700672*X^4+3588636672*X^3+5853929472*X^2+3884212224*X+863797248, -1825210368*X^4-9822339072*X^3-9894887424*X^2+8154611712*X+9521528832, -34791358464*X^4-172884492288*X^3-449399881728*X^2-605350526976*X-289478541312, 286399660032*X^4+1812675428352*X^3+4617302704128*X^2+5673210347520*X+2552626151424, 12230590464*(X+1)*(X^3-105*X^2-277*X-267), -73383542784*(X+1)*(X+2)*(93*X^2+441*X+607), 7925422620672*(X+3)*(X+2)*(X+1)*(X+6), 63403380965376*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.10\" from ...", "degz": 13, "h3": null, "sol": "1 12 180 2928 47556 674352 5050224 -159433920 -10791594684 -419663644368", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -12 -64 -140 -152 -140 3216 12640 20592 17088 8736 -236352 -811072 -1141056 -824832 -315392 7554816 25145856 33786112 22632448 7199488 -124710912 -439520256 -599851008 -378722304 -104279040 863797248 3884212224 5853929472 3588636672 860700672 9521528832 8154611712 -9894887424 -9822339072 -1825210368 -289478541312 -605350526976 -449399881728 -172884492288 -34791358464 2552626151424 5673210347520 4617302704128 1812675428352 286399660032 -3265567653888 -6653441212416 -4672085557248 -1271981408256 12230590464 -89087620939776 -198355716145152 -155279576530944 -52836150804480 -6824669478912 285315214344192 570630428688384 372494863171584 95105071448064 7925422620672 1521681143169024 3170169048268800 2219118333788160 634033809653760 63403380965376", "new_number": "13.10", "id": 362, "operator_tex": "\\theta^4-2^{2} x\\left(35\\theta^4+38\\theta^3+35\\theta^2+16\\theta+3\\right)+2^{4} x^{2}\\left(546\\theta^4+1068\\theta^3+1287\\theta^2+790\\theta+201\\right)-2^{6} x^{3}\\left(4928\\theta^4+12888\\theta^3+17829\\theta^2+12673\\theta+3693\\right)+2^{8} x^{4}\\left(28123\\theta^4+88408\\theta^3+131977\\theta^2+98226\\theta+29511\\right)-2^{10} 3^{2} x^{5}\\left(11315\\theta^4+41094\\theta^3+65088\\theta^2+47691\\theta+13532\\right)+2^{13} 3^{2} x^{6}\\left(11674\\theta^4+48674\\theta^3+79399\\theta^2+52683\\theta+11716\\right)-2^{15} 3^{3} x^{7}\\left(2063\\theta^4+11102\\theta^3+11184\\theta^2-9217\\theta-10762\\right)-2^{17} 3^{4} x^{8}\\left(3277\\theta^4+16284\\theta^3+42329\\theta^2+57018\\theta+27266\\right)+2^{20} 3^{5} x^{9}\\left(1124\\theta^4+7114\\theta^3+18121\\theta^2+22265\\theta+10018\\right)+2^{24} 3^{6} x^{10}(\\theta+1)(\\theta^3-105\\theta^2-277\\theta-267)-2^{25} 3^{7} x^{11}(\\theta+1)(\\theta+2)(93\\theta^2+441\\theta+607)+2^{27} 3^{10} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(\\theta+6)+2^{30} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "4 -628/9", "discriminant": "13 1 -140 8736 -315392 7199488 -104279040 860700672 -1825210368 -34791358464 286399660032 12230590464 -6824669478912 7925422620672 63403380965376", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "2a9fda379889eb2fd218bd01f2520f7a", "dim_h": null, "inst": " 4 5 -628/9 -2823/4 672 133867/9 207788 15579985/4 94033312/3 -299026336", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "(8z-1)(10368z^3-1728z^2+72z-1)(12z-1)^2(288z^2-24z+1)^2(4z+1)^3", "discr_factors": "63403380965376, z-1/8, z^3-1/6*z^2+1/144*z-1/10368, (z-1/12)^2, (z+1/4)^3, (z^2-1/12*z+1/288)^2", "dm_basis": null, "q": "0 1 -16 198 -1760 13349 -57888 -559014 17566336 -323621262", "yuk": "1 4 44 -1880 -45124 84004 3210968 71271288 1994192956 22850092936", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","3/2","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":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"-1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"-0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*2^(1/3)-1/144*2^(2/3)+1/18","im":"1/24*3^(1/2)*(1/3*2^(1/3)-1/6*2^(2/3))","approx_re":"0.027033","approx_im":"0.011216","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"-1/24","approx_re":"0.0416666666667","approx_im":"-0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"1/24","approx_re":"0.0416666666667","approx_im":"0.0416666666667","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)+1/18","im":"0","approx_re":"0.112601","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -98*X^4-164*X^3-137*X^2-55*X-9, 3822*X^4+11400*X^3+14901*X^2+8746*X+2007, -64148*X^4-196344*X^3-271665*X^2-199855*X-60354, 802771*X^4+2242504*X^3+2203855*X^2+1316868*X+390636, -2072466-11384370*X-21473472*X^2-17894556*X^3-6240870*X^4, 34703892*X^4+88520976*X^3+131922738*X^2+92783340*X+24084054, -106587576*X^4-370055952*X^3-517140450*X^2-341720694*X-88435476, 61135479*X^4+605217744*X^3+1126226430*X^2+715267584*X+125073072, 382650642*X^4+1610148132*X^3+2858927319*X^2+2931610077*X+1242795555, -59049*(X+1)*(8018*X^3+62342*X^2+139257*X+108861), -19683*(X+1)*(X+2)*(28988*X^2+81396*X+36331), 531441*(X+3)*(X+2)*(X+1)*(1061*X+5386), 487862838*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.11\" from ...", "degz": 13, "h3": null, "sol": "1 9 135 2115 18063 -742041 -58425219 -2629040895 -91773711585 -2470544785593", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -9 -55 -137 -164 -98 2007 8746 14901 11400 3822 -60354 -199855 -271665 -196344 -64148 390636 1316868 2203855 2242504 802771 -2072466 -11384370 -21473472 -17894556 -6240870 24084054 92783340 131922738 88520976 34703892 -88435476 -341720694 -517140450 -370055952 -106587576 125073072 715267584 1126226430 605217744 61135479 1242795555 2931610077 2858927319 1610148132 382650642 -6428133189 -14651119782 -11904219351 -4154687640 -473454882 -1430206146 -5349544155 -6662597085 -3313829880 -570570804 17174047356 34868906892 23376495267 6245494632 563858901 11708708112 24393141900 17075199330 4878628380 487862838", "new_number": "13.11", "id": 363, "operator_tex": "\\theta^4-x\\left(98\\theta^4+164\\theta^3+137\\theta^2+55\\theta+9\\right)+x^{2}\\left(3822\\theta^4+11400\\theta^3+14901\\theta^2+8746\\theta+2007\\right)-x^{3}\\left(64148\\theta^4+196344\\theta^3+271665\\theta^2+199855\\theta+60354\\right)+x^{4}\\left(802771\\theta^4+2242504\\theta^3+2203855\\theta^2+1316868\\theta+390636\\right)-2 3 x^{5}\\left(1040145\\theta^4+2982426\\theta^3+3578912\\theta^2+1897395\\theta+345411\\right)+2 3^{2} x^{6}\\left(1927994\\theta^4+4917832\\theta^3+7329041\\theta^2+5154630\\theta+1338003\\right)-2 3^{5} x^{7}\\left(219316\\theta^4+761432\\theta^3+1064075\\theta^2+703129\\theta+181966\\right)+3^{4} x^{8}\\left(754759\\theta^4+7471824\\theta^3+13904030\\theta^2+8830464\\theta+1544112\\right)+3^{7} x^{9}\\left(174966\\theta^4+736236\\theta^3+1307237\\theta^2+1340471\\theta+568265\\right)-3^{10} x^{10}(\\theta+1)(8018\\theta^3+62342\\theta^2+139257\\theta+108861)-3^{9} x^{11}(\\theta+1)(\\theta+2)(28988\\theta^2+81396\\theta+36331)+3^{12} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(1061\\theta+5386)+2 3^{15} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "7 -2044/9", "discriminant": "13 1 -98 3822 -64148 802771 -6240870 34703892 -106587576 61135479 382650642 -473454882 -570570804 563858901 487862838", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d6e183df7853fe5068c8b8cdeb3f63cb", "dim_h": null, "inst": " 7 -31/4 -2044/9 -1380 -8520 1625077/9 5885526 71672646 -85064144/3 -25138098376", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(2z-1)(4131z^3-2187z^2+81z-1)(3z-1)^2(81z^2-6z+1)^2(z+1)^3", "discr_factors": "487862838, z-1/2, z^3-9/17*z^2+1/51*z-1/4131, (z^2-2/27*z+1/81)^2, (z-1/3)^2, (z+1)^3", "dm_basis": null, "q": "0 1 -19 297 -2927 28877 -227367 453751 -17165155 -7631523", "yuk": "1 7 -55 -6125 -88375 -1064993 38995661 2018735425 36696306377 -20670593117", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1/2","3/2","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":"-2/51*3^(2/3)-8/153*3^(1/3)+3/17","im":"-1/6*3^(1/2)*(4/17*3^(2/3)-16/51*3^(1/3))","approx_re":"0.019487","approx_im":"-0.01067","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-2/51*3^(2/3)-8/153*3^(1/3)+3/17","im":"1/6*3^(1/2)*(4/17*3^(2/3)-16/51*3^(1/3))","approx_re":"0.019487","approx_im":"0.01067","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"-2/27*2^(1/2)","approx_re":"0.037037037037","approx_im":"-0.104757","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"2/27*2^(1/2)","approx_re":"0.037037037037","approx_im":"0.104757","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3","im":"0","approx_re":"0.333333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"4/51*3^(2/3)+16/153*3^(1/3)+3/17","im":"0","approx_re":"0.490438","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -217*X^4-178*X^3-178*X^2-89*X-18, 6192+24334*X+39795*X^2+33324*X^3+20643*X^4, -1114456*X^4-2668464*X^3-3660480*X^2-2524040*X-713952, 36536560*X^4+116144992*X^3+177648928*X^2+131081136*X+38709792, -697005504*X^4-2793831552*X^3-4599245184*X^2-3383810496*X-951160320, -1056312576+18392859648*X+42714847296*X^2+27747606528*X^3+5402526912*X^4, 61703493120*X^4+287137944576*X^3+857573111808*X^2+1328270068224*X+678366544896, -1748457529344*X^4-10559291424768*X^3-27646051700736*X^2-35365777514496*X-16291812372480, 9300074102784*X^4+69953722122240*X^3+191597765492736*X^2+246689600274432*X+114446794752000, 15479341056*(X+1)*(6759*X^3+40481*X^2+97855*X+79397), -41278242816*(X+1)*(X+2)*(29107*X^2+160713*X+251822), -71328803586048*(X+3)*(X+2)*(X+1)*(17*X+4), 38517553936465920*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.6\" from ...", "degz": 13, "h3": null, "sol": "1 18 378 8280 187434 4330908 101527344 2402089344 57112491690 1359099894852", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 -18 -89 -178 -178 -217 6192 24334 39795 33324 20643 -713952 -2524040 -3660480 -2668464 -1114456 38709792 131081136 177648928 116144992 36536560 -951160320 -3383810496 -4599245184 -2793831552 -697005504 -1056312576 18392859648 42714847296 27747606528 5402526912 678366544896 1328270068224 857573111808 287137944576 61703493120 -16291812372480 -35365777514496 -27646051700736 -10559291424768 -1748457529344 114446794752000 246689600274432 191597765492736 69953722122240 9300074102784 1229013241823232 2743744160858112 2141350124322816 731244071485440 104624866197504 -20789539324821504 -44452209462607872 -32699592002764800 -10238407678623744 -1201485813645312 -1711891286065152 -10414005323563008 -15050377556656128 -7560853180121088 -1212589660962816 924421294475182080 1925877696823296000 1348114387776307200 385175539364659200 38517553936465920", "new_number": "13.6", "id": 374, "operator_tex": "\\theta^4-x\\left(217\\theta^4+178\\theta^3+178\\theta^2+89\\theta+18\\right)+x^{2}\\left(6192+24334\\theta+39795\\theta^2+33324\\theta^3+20643\\theta^4\\right)-2^{3} x^{3}\\left(139307\\theta^4+333558\\theta^3+457560\\theta^2+315505\\theta+89244\\right)+2^{4} x^{4}\\left(2283535\\theta^4+7259062\\theta^3+11103058\\theta^2+8192571\\theta+2419362\\right)-2^{6} 3 x^{5}\\left(3630237\\theta^4+14551206\\theta^3+23954402\\theta^2+17624013\\theta+4953960\\right)+2^{6} 3^{2} x^{6}\\left(9379387\\theta^4+48172928\\theta^3+74157721\\theta^2+31932048\\theta-1833876\\right)+2^{9} 3^{5} x^{7}\\left(495945\\theta^4+2307886\\theta^3+6892788\\theta^2+10676039\\theta+5452406\\right)-2^{12} 3^{4} x^{8}\\left(5269994\\theta^4+31826568\\theta^3+83327461\\theta^2+106595346\\theta+49104855\\right)+2^{15} 3^{7} x^{9}\\left(129774\\theta^4+976140\\theta^3+2673571\\theta^2+3442327\\theta+1597000\\right)+2^{18} 3^{10} x^{10}(\\theta+1)(6759\\theta^3+40481\\theta^2+97855\\theta+79397)-2^{21} 3^{9} x^{11}(\\theta+1)(\\theta+2)(29107\\theta^2+160713\\theta+251822)-2^{27} 3^{12} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(17\\theta+4)+2^{29} 3^{15} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "2 421/9", "discriminant": "13 1 -217 20643 -1114456 36536560 -697005504 5402526912 61703493120 -1748457529344 9300074102784 104624866197504 -1201485813645312 -1212589660962816 38517553936465920", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "679aa37a05aafe03e8d68785d566fcfb", "dim_h": null, "inst": " 2 -3/2 421/9 -519/2 285 -77417/6 98268 -807195/2 20513023/3 -58806463", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(16z-1)(19440z^3-2187z^2+81z-1)(24z-1)^2(648z^2-48z+1)^2(8z+1)^3", "discr_factors": "38517553936465920, (z-1/24)^2, z^3-9/80*z^2+1/240*z-1/19440, z-1/16, (z^2-2/27*z+1/648)^2, (z+1/8)^3", "dm_basis": null, "q": "0 1 -17 216 -1969 5945 257742 -7810742 146004187 -2114608545", "yuk": "1 2 -10 1265 -16618 35627 -2785759 33705926 -206658538 4984665854", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/480*3^(2/3)-1/1440*3^(1/3)+3/80","im":"-1/6*3^(1/2)*(1/80*3^(2/3)-1/240*3^(1/3))","approx_re":"0.032165","approx_im":"-0.005771","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/480*3^(2/3)-1/1440*3^(1/3)+3/80","im":"1/6*3^(1/2)*(1/80*3^(2/3)-1/240*3^(1/3))","approx_re":"0.032165","approx_im":"0.005771","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"-1/108*2^(1/2)","approx_re":"0.037037037037","approx_im":"-0.013095","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"1/108*2^(1/2)","approx_re":"0.037037037037","approx_im":"0.013095","exponents":["0","1","3","4"],"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":"1/240*3^(2/3)+1/720*3^(1/3)+3/80","im":"0","approx_re":"0.04817","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 127*X^4-2*X^3+22*X^2+23*X+6, 4803*X^4+1644*X^3+3459*X^2+430*X-384, 20056*X^4+64944*X^3-19584*X^2-57016*X-23520, -1506800*X^4-1413728*X^3-2134688*X^2-1784112*X-622368, 4290624*X^4+37959552*X^3+150483072*X^2+171473472*X+69110784, 500582592*X^4+2717687808*X^3+6429575232*X^2+6772792320*X+2640096000, -3400496640*X^4-18498917376*X^3-47206361088*X^2-61076740608*X-29078811648, -77713219584*X^4-719080685568*X^3-2326537064448*X^2-3124173348864*X-1451769163776, 17464017125376*X+7548312748032+5122993029120*X^3+14459018379264*X^2+646835798016*X^4, 191102976*(X+1)*(15879*X^3+214401*X^2+816191*X+896789), -4586471424*(X+1)*(X+2)*(8037*X^2+71103*X+151546), 2641807540224*(X+3)*(X+2)*(X+1)*(31*X+152), -52836150804480*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.7\" from ...", "degz": 13, "h3": null, "sol": "1 -6 90 -1368 21546 -385236 7073136 -133747200 2639185578 -52865736876", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 6 23 22 -2 127 -384 430 3459 1644 4803 -23520 -57016 -19584 64944 20056 -622368 -1784112 -2134688 -1413728 -1506800 69110784 171473472 150483072 37959552 4290624 2640096000 6772792320 6429575232 2717687808 500582592 -29078811648 -61076740608 -47206361088 -18498917376 -3400496640 -1451769163776 -3124173348864 -2326537064448 -719080685568 -77713219584 7548312748032 17464017125376 14459018379264 5122993029120 646835798016 171379046744064 327355575828480 196949198241792 44007193313280 3034524155904 -1390122796843008 -2737407950585856 -1747119973072896 -436696290164736 -36861470834688 2409328476684288 4908478409736192 3310184847900672 892930948595712 81896033746944 -1268067619307520 -2641807540224000 -1849265278156800 -528361508044800 -52836150804480", "new_number": "13.7", "id": 375, "operator_tex": "\\theta^4+x\\left(127\\theta^4-2\\theta^3+22\\theta^2+23\\theta+6\\right)+x^{2}\\left(4803\\theta^4+1644\\theta^3+3459\\theta^2+430\\theta-384\\right)+2^{3} x^{3}\\left(2507\\theta^4+8118\\theta^3-2448\\theta^2-7127\\theta-2940\\right)-2^{4} x^{4}\\left(94175\\theta^4+88358\\theta^3+133418\\theta^2+111507\\theta+38898\\right)+2^{6} 3 x^{5}\\left(22347\\theta^4+197706\\theta^3+783766\\theta^2+893091\\theta+359952\\right)+2^{6} 3^{2} x^{6}\\left(869067\\theta^4+4718208\\theta^3+11162457\\theta^2+11758320\\theta+4583500\\right)-2^{9} 3^{3} x^{7}\\left(245985\\theta^4+1338174\\theta^3+3414812\\theta^2+4418167\\theta+2103502\\right)-2^{12} 3^{4} x^{8}\\left(234234\\theta^4+2167368\\theta^3+7012373\\theta^2+9416514\\theta+4375751\\right)+2^{15} 3^{5} x^{9}\\left(81234\\theta^4+643380\\theta^3+1815861\\theta^2+2193249\\theta+947968\\right)+2^{18} 3^{6} x^{10}(\\theta+1)(15879\\theta^3+214401\\theta^2+816191\\theta+896789)-2^{21} 3^{7} x^{11}(\\theta+1)(\\theta+2)(8037\\theta^2+71103\\theta+151546)+2^{27} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(31\\theta+152)-2^{29} 3^{9} 5 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "10 7709/9", "discriminant": "13 1 127 4803 20056 -1506800 4290624 500582592 -3400496640 -77713219584 646835798016 3034524155904 -36861470834688 81896033746944 -52836150804480", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "47093f7f3b7ab4544ef6b418bdae778b", "dim_h": null, "inst": " 10 -149/2 7709/9 -27333/2 242829 -85405225/18 99122532 -4339920081/2 147931798999/3 -1154124338493", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(16z+1)(2160z^3+27z^2-9z+1)(24z+1)^2(72z^2-48z-1)^2(8z-1)^3", "discr_factors": "-52836150804480, z+1/16, z^3+1/80*z^2-1/240*z+1/2160, (z-1/8)^3, (z^2-2/3*z-1/72)^2, (z+1/24)^2", "dm_basis": null, "q": "0 1 -1 0 -161 9305 -210114 4823674 -121393813 3105856143", "yuk": "1 10 -586 23137 -875242 30353635 -1024840159 33999028486 -1111020415978 35947427179894", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/80*3^(2/3)-1/80*3^(1/3)-1/240","im":"0","approx_re":"-0.100198","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/16","im":"0","approx_re":"-0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"0","approx_re":"-0.0416666666667","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3-1/4*2^(1/2)","im":"0","approx_re":"-0.02022","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":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"-0.05194","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/160*3^(2/3)+1/160*3^(1/3)-1/240","im":"-1/6*3^(1/2)*(-9/80*3^(2/3)+3/80*3^(1/3))","approx_re":"0.043849","approx_im":"0.05194","exponents":["0","1","1","2"],"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":"1/3+1/4*2^(1/2)","im":"0","approx_re":"0.686887","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -55*X^4-142*X^3-112*X^2-41*X-6, 456*X^4+4668*X^3+7455*X^2+3958*X+696, 35078*X^4+127188*X^3+175671*X^2+133507*X+41718, 82753*X^4+664768*X^3+2450839*X^2+2316756*X+736812, -2655315*X^4-4028814*X^3+2649993*X^2+8119728*X+4050684, -6219018*X^4-60015708*X^3-89450730*X^2-53365392*X-11353464, -175541148*X^2-256801536*X+49673412*X^4+29231928*X^3-103999248, 1325353104*X+906483312*X^3+407584224+1655573904*X^2+145904976*X^4, -132584688*X^4+131663232*X^3+1842270480*X^2+2895494688*X+1361857536, -23328*(X+1)*(20847*X^3+146325*X^2+303230*X+217616), 139968*(X+1)*(X+2)*(1791*X^2-1173*X-14800), 10077696*(X+3)*(X+2)*(X+1)*(52*X+257), -342641664*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.8\" from ...", "degz": 13, "h3": null, "sol": "1 6 90 1044 -5670 -1072764 -51455844 -1769263560 -45316195686 -614757875220", "n_discr_factors": "6", "c3": null, "operator": "4 13 0 0 0 0 1 -6 -41 -112 -142 -55 696 3958 7455 4668 456 41718 133507 175671 127188 35078 736812 2316756 2450839 664768 82753 4050684 8119728 2649993 -4028814 -2655315 -11353464 -53365392 -89450730 -60015708 -6219018 -103999248 -256801536 -175541148 29231928 49673412 407584224 1325353104 1655573904 906483312 145904976 1361857536 2895494688 1842270480 131663232 -132584688 -5076546048 -12150295488 -10487219040 -3899788416 -486318816 -4143052800 -6542944128 -2062708416 587865600 250682688 15539807232 31633887744 21304249344 5734209024 524040192 -8223399936 -17132083200 -11992458240 -3426416640 -342641664", "new_number": "13.8", "id": 376, "operator_tex": "\\theta^4-x\\left(55\\theta^4+142\\theta^3+112\\theta^2+41\\theta+6\\right)+x^{2}\\left(456\\theta^4+4668\\theta^3+7455\\theta^2+3958\\theta+696\\right)+x^{3}\\left(35078\\theta^4+127188\\theta^3+175671\\theta^2+133507\\theta+41718\\right)+x^{4}\\left(82753\\theta^4+664768\\theta^3+2450839\\theta^2+2316756\\theta+736812\\right)-3 x^{5}\\left(885105\\theta^4+1342938\\theta^3-883331\\theta^2-2706576\\theta-1350228\\right)-2 3^{2} x^{6}\\left(345501\\theta^4+3334206\\theta^3+4969485\\theta^2+2964744\\theta+630748\\right)+2^{2} 3^{3} x^{7}\\left(459939\\theta^4+270666\\theta^3-1625381\\theta^2-2377792\\theta-962956\\right)+2^{4} 3^{4} x^{8}\\left(112581\\theta^4+699447\\theta^3+1277449\\theta^2+1022649\\theta+314494\\right)-2^{4} 3^{5} x^{9}\\left(34101\\theta^4-33864\\theta^3-473835\\theta^2-744726\\theta-350272\\right)-2^{5} 3^{6} x^{10}(\\theta+1)(20847\\theta^3+146325\\theta^2+303230\\theta+217616)+2^{6} 3^{7} x^{11}(\\theta+1)(\\theta+2)(1791\\theta^2-1173\\theta-14800)+2^{9} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(52\\theta+257)-2^{10} 3^{9} 17 x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 -830/9", "discriminant": "13 1 -55 456 35078 82753 -2655315 -6219018 49673412 145904976 -132584688 -486318816 250682688 524040192 -342641664", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "bcea3fff557004b4da26e9aa34caac6c", "dim_h": null, "inst": " 8 -45/2 -830/9 -5301/2 2790 787217/6 7180248 115903851/2 -289645460/3 -32500367598", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "9", "laurent": null, "discriminant_tex": "-(2z+1)(3672z^3+1728z^2-72z+1)(6z-1)^2(12z+1)^2(3z+1)^2(z-1)^3", "discr_factors": "-342641664, (z-1/6)^2, (z-1)^3, z^3+8/17*z^2-1/51*z+1/3672, (z+1/12)^2, (z+1/3)^2, z+1/2", "dm_basis": null, "q": "0 1 -17 243 -1855 16442 -120123 -129899 -24681317 160305642", "yuk": "1 8 -172 -2482 -169804 348758 28337150 2462825072 29671216052 -70383849262", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/34*3^(2/3)-2/17*3^(1/3)-8/51","im":"0","approx_re":"-0.510076","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":"-1/3","im":"0","approx_re":"-0.333333333333","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","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":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"-0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/68*3^(2/3)+1/17*3^(1/3)-8/51","im":"-1/12*3^(1/2)*(-9/17*3^(2/3)+12/17*3^(1/3))","approx_re":"0.019744","approx_im":"0.012003","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8*X*(4*X^3-8*X^2-5*X-1), -768*X^4-1920*X^3-720*X^2-1184*X-576, -12928*X^4+43776*X^3+49536*X^2+52480*X+21888, 798976*X^4+3610624*X^3+7907584*X^2+7096320*X+2393856, 12072960*X^4+74870784*X^3+185812992*X^2+189333504*X+71073792, 691863552*X+324882432-103809024*X^3-83755008*X^4+366796800*X^2, -1367801856*X^4-10769006592*X^3-27168473088*X^2-29974855680*X-12247400448, -127210881024*X+7134511104*X^3-69343838208-59103903744*X^2+5833949184*X^4, 58350108672*X^4+615096778752*X^3+1952435404800*X^2+2512494526464*X+1124959518720, -764411904*(X+1)*(368*X^3+1752*X^2+1297*X-1035), -18345885696*(X+1)*(X+2)*(39*X^2+513*X+1172), 330225942528*(X+3)*(X+2)*(X+1)*(17*X+82), -7925422620672*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"13.9\" from ...", "degz": 13, "h3": null, "sol": "1 0 36 -192 -4284 -155520 -2431440 -24917760 300589380 21072871680", "n_discr_factors": "5", "c3": null, "operator": "4 13 0 0 0 0 1 0 -8 -40 -64 32 -576 -1184 -720 -1920 -768 21888 52480 49536 43776 -12928 2393856 7096320 7907584 3610624 798976 71073792 189333504 185812992 74870784 12072960 324882432 691863552 366796800 -103809024 -83755008 -12247400448 -29974855680 -27168473088 -10769006592 -1367801856 -69343838208 -127210881024 -59103903744 7134511104 5833949184 1124959518720 2512494526464 1952435404800 615096778752 58350108672 791166320640 -200275918848 -2330691895296 -1620553236480 -281303580672 -43002756071424 -83327012831232 -51166675206144 -11557907988480 -715489542144 162471163723776 331546846298112 224223414976512 60761573425152 5613841022976 -190210142896128 -396271131033600 -277389791723520 -79254226206720 -7925422620672", "new_number": "13.9", "id": 377, "operator_tex": "\\theta^4+2^{3} x\\theta(4\\theta^3-8\\theta^2-5\\theta-1)-2^{4} x^{2}\\left(48\\theta^4+120\\theta^3+45\\theta^2+74\\theta+36\\right)-2^{7} x^{3}\\left(101\\theta^4-342\\theta^3-387\\theta^2-410\\theta-171\\right)+2^{8} x^{4}\\left(3121\\theta^4+14104\\theta^3+30889\\theta^2+27720\\theta+9351\\right)+2^{11} 3^{2} x^{5}\\left(655\\theta^4+4062\\theta^3+10081\\theta^2+10272\\theta+3856\\right)-2^{12} 3^{2} x^{6}\\left(2272\\theta^4+2816\\theta^3-9950\\theta^2-18768\\theta-8813\\right)-2^{15} 3^{3} x^{7}\\left(1546\\theta^4+12172\\theta^3+30708\\theta^2+33880\\theta+13843\\right)+2^{16} 3^{4} x^{8}\\left(1099\\theta^4+1344\\theta^3-11134\\theta^2-23964\\theta-13063\\right)+2^{19} 3^{5} x^{9}\\left(458\\theta^4+4828\\theta^3+15325\\theta^2+19721\\theta+8830\\right)-2^{20} 3^{6} x^{10}(\\theta+1)(368\\theta^3+1752\\theta^2+1297\\theta-1035)-2^{23} 3^{7} x^{11}(\\theta+1)(\\theta+2)(39\\theta^2+513\\theta+1172)+2^{24} 3^{9} x^{12}(\\theta+3)(\\theta+2)(\\theta+1)(17\\theta+82)-2^{27} 3^{10} x^{13}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "8 2200/9", "discriminant": "13 1 32 -768 -12928 798976 12072960 -83755008 -1367801856 5833949184 58350108672 -281303580672 -715489542144 5613841022976 -7925422620672", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "31ff3b7bd4c8fed070ee43b6903d3752", "dim_h": null, "inst": " 8 -75/2 2200/9 -8117/2 47936 -4052675/6 11499480 -175321542 2998366528 -53613060132", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(8z+1)(5184z^3+432z^2-36z+1)(12z+1)^2(144z^2-24z-1)^2(4z-1)^3", "discr_factors": "-7925422620672, (z-1/4)^3, (z^2-1/6*z-1/144)^2, (z+1/12)^2, z^3+1/12*z^2-1/144*z+1/5184, z+1/8", "dm_basis": null, "q": "0 1 -8 54 96 2149 -74736 1483178 -32369792 559973682", "yuk": "1 8 -292 6608 -260036 5992008 -145889992 3944321648 -89764889540 2185809205520", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18*2^(1/3)-1/36*2^(2/3)-1/36","im":"0","approx_re":"-0.141868","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12-1/12*2^(1/2)","im":"0","approx_re":"-0.034518","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)-1/36","im":"1/24*3^(1/2)*(-2/3*2^(1/3)+1/3*2^(2/3))","approx_re":"0.029267","approx_im":"-0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*2^(1/3)+1/72*2^(2/3)-1/36","im":"-1/24*3^(1/2)*(-2/3*2^(1/3)+1/3*2^(2/3))","approx_re":"0.029267","approx_im":"0.022431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12+1/12*2^(1/2)","im":"0","approx_re":"0.201184","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 30+174*X+417*X^2+486*X^3+297*X^4, 18792+83916*X+153090*X^2+119556*X^3+21870*X^4, 3551688+13060764*X+17583480*X^2+6456024*X^3-1023516*X^4, 214465968+599465448*X+424208016*X^2-365631408*X^3-157306536*X^4, 561201696-8851681296*X-30075309072*X^2-31223221632*X^3-1377495072*X^4, -146014477632-494520730848*X-450440888544*X^2+99179645184*X^3+247949112960*X^4, 148769467776*(X+1)^2*(6*X+5)*(6*X+7)]", "text": "This is operator \"7.12\" from ...", "degz": 7, "h3": null, "sol": "1 -30 1458 -89076 6250050 -480036780 39218993100 -3347929943640 295182414161730 -26673786677257500", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 30 174 417 486 297 18792 83916 153090 119556 21870 3551688 13060764 17583480 6456024 -1023516 214465968 599465448 424208016 -365631408 -157306536 561201696 -8851681296 -30075309072 -31223221632 -1377495072 -146014477632 -494520730848 -450440888544 99179645184 247949112960 5206931372160 21125264424192 31985435571840 21422803359744 5355700839936", "new_number": "7.12", "id": 434, "operator_tex": "\\theta^4+3 x\\left(99\\theta^4+162\\theta^3+139\\theta^2+58\\theta+10\\right)+2 3^{4} x^{2}\\left(135\\theta^4+738\\theta^3+945\\theta^2+518\\theta+116\\right)-2^{2} 3^{7} x^{3}\\left(117\\theta^4-738\\theta^3-2010\\theta^2-1493\\theta-406\\right)-2^{3} 3^{10} x^{4}\\left(333\\theta^4+774\\theta^3-898\\theta^2-1269\\theta-454\\right)-2^{4} 3^{13} x^{5}\\left(54\\theta^4+1224\\theta^3+1179\\theta^2+347\\theta-22\\right)+2^{5} 3^{16} x^{6}\\left(180\\theta^4+72\\theta^3-327\\theta^2-359\\theta-106\\right)+2^{7} 3^{19} x^{7}(\\theta+1)^2(6\\theta+5)(6\\theta+7)", "superseek": "-21 -7941", "discriminant": "7 1 297 21870 -1023516 -157306536 -1377495072 247949112960 5355700839936", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0841b278bc566a089b643bbe2460fe8b", "dim_h": null, "inst": " -21 -399 -7941 -986355/4 -8179455 -306790500 -12151571244 -1015240586355/2 -21975670374150 -980756726018385", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(27z+1)(54z+1)(54z-1)^2(108z+1)^3", "discr_factors": "5355700839936, (z+1/108)^3, z+1/54, (z-1/54)^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":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","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":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","1","1","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 276*X^4+312*X^3+274*X^2+118*X+20, 19184*X^4+63296*X^3+66876*X^2+30440*X+5600, -470080*X^4+2305920*X^3+4675120*X^2+3126000*X+748000, -59069440*X^4-132792320*X^3+19461120*X^2+57909760*X+19246400, 739196928*X^4-2782494720*X^3-3842826240*X^2-1772298240*X-257817600, 32105299968*X^4+113897373696*X^3+156661972992*X^2+98333097984*X+23439605760, -254803968*(6*X+5)^2*(6*X+7)^2]", "text": "This is operator \"7.15\" from ...", "degz": 7, "h3": null, "sol": "1 -20 900 -55280 3962500 -310443120 25751401200 -2222681112000 197544186663300 -17956101863018000", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 20 118 274 312 276 5600 30440 66876 63296 19184 748000 3126000 4675120 2305920 -470080 19246400 57909760 19461120 -132792320 -59069440 -257817600 -1772298240 -3842826240 -2782494720 739196928 23439605760 98333097984 156661972992 113897373696 32105299968 -312134860800 -1284211998720 -1963009769472 -1320903770112 -330225942528", "new_number": "7.15", "id": 437, "operator_tex": "\\theta^4+2 x\\left(138\\theta^4+156\\theta^3+137\\theta^2+59\\theta+10\\right)+2^{2} x^{2}\\left(4796\\theta^4+15824\\theta^3+16719\\theta^2+7610\\theta+1400\\right)-2^{4} 5 x^{3}\\left(5876\\theta^4-28824\\theta^3-58439\\theta^2-39075\\theta-9350\\right)-2^{6} 5 x^{4}\\left(184592\\theta^4+414976\\theta^3-60816\\theta^2-180968\\theta-60145\\right)+2^{10} 3 x^{5}\\left(240624\\theta^4-905760\\theta^3-1250920\\theta^2-576920\\theta-83925\\right)+2^{18} 3^{2} x^{6}\\left(13608\\theta^4+48276\\theta^3+66402\\theta^2+41679\\theta+9935\\right)-2^{20} 3^{5} x^{7}(6\\theta+5)^2(6\\theta+7)^2", "superseek": "-2 -952", "discriminant": "7 1 276 19184 -470080 -59069440 739196928 32105299968 -330225942528", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d9a911258d890c112974a4ba19e93e6d", "dim_h": null, "inst": " -2 -343/2 -952 -45148 -17303644/25 -26018834 -600090980 -21048155292 -596535616354 -515471214730497/25", "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)^3", "discr_factors": "-330225942528, (z+1/108)^3, -1/256-1/16*z+z^2, (z-1/32)^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":"-0.038627","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/108","im":"0","approx_re":"-0.00925925925926","approx_im":"0.0","exponents":["0","1/2","3/2","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","3","4"],"monodromy":[],"monodromy_dm":[]},{"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["5/6","5/6","7/6","7/6"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -14*X*(46*X^3+52*X^2+33*X+7), -25088-106680*X-170532*X^2-115392*X^3-29328*X^4, -561568-1780464*X-1927728*X^2-716160*X^3-45760*X^4, -1561088-3332608*X-379392*X^2+3031040*X^3+1141760*X^4, 3112960+17940480*X+32292864*X^2+21626880*X^3+2850816*X^4, 3670016+11010048*X+4718592*X^2-12582912*X^3-11534336*X^4, -33554432*(X+1)^4]", "text": "This is operator \"7.1\" from ...", "degz": 7, "h3": "56", "sol": "1 0 32 288 7776 144000 3552800 82320000 2087125600 52959513600", "n_discr_factors": "4", "c3": "-64", "operator": "4 7 0 0 0 0 49 0 -98 -462 -728 -644 -25088 -106680 -170532 -115392 -29328 -561568 -1780464 -1927728 -716160 -45760 -1561088 -3332608 -379392 3031040 1141760 3112960 17940480 32292864 21626880 2850816 3670016 11010048 4718592 -12582912 -11534336 -33554432 -134217728 -201326592 -134217728 -33554432", "new_number": "7.1", "id": 442, "operator_tex": "7^{2} \\theta^4-2 7 x\\theta(46\\theta^3+52\\theta^2+33\\theta+7)-2^{2} x^{2}\\left(7332\\theta^4+28848\\theta^3+42633\\theta^2+26670\\theta+6272\\right)-2^{4} x^{3}\\left(2860\\theta^4+44760\\theta^3+120483\\theta^2+111279\\theta+35098\\right)+2^{9} x^{4}\\left(2230\\theta^4+5920\\theta^3-741\\theta^2-6509\\theta-3049\\right)+2^{14} x^{5}\\left(174\\theta^4+1320\\theta^3+1971\\theta^2+1095\\theta+190\\right)-2^{19} x^{6}\\left(22\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{25} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "10/7 508/7", "discriminant": "7 49 -644 -29328 -45760 1141760 2850816 -11534336 -33554432", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "80", "hash": "08ab3cb496250adfa30bc3e24ac63c4f", "dim_h": "16", "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)(32z-7)^2(4z+1)^3", "discr_factors": "-33554432, (z+1/4)^3, z-1/32, z+1/16, (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","3/2","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":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 48+304*X+816*X^2+1024*X^3+352*X^4, 40960+213504*X+483840*X^2+319488*X^3-89088*X^4, 15908864+62472192*X+83902464*X^2-49152000*X^3-36536320*X^4, 1259339776+3589799936*X+1763180544*X^2-17469276160*X^3+1499463680*X^4, 96502546432+185220464640*X+10871635968*X^2+64424509440*X^3+984084381696*X^4, 481036337152*(X+1)*(46*X^3+86*X^2+67*X+20), -1724034232352768*(X+1)^4]", "text": "This is operator \"7.2\" from ...", "degz": 7, "h3": null, "sol": "1 -48 5072 -733440 124117776 -22993813248 4514074006784 -922557199896576 194202215551290640 -41817326010225224448", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 48 304 816 1024 352 40960 213504 483840 319488 -89088 15908864 62472192 83902464 -49152000 -36536320 1259339776 3589799936 1763180544 -17469276160 1499463680 96502546432 185220464640 10871635968 64424509440 984084381696 9620726743040 41850161332224 73598559584256 63496796504064 22127671508992 -1724034232352768 -6896136929411072 -10344205394116608 -6896136929411072 -1724034232352768", "new_number": "7.2", "id": 445, "operator_tex": "\\theta^4+2^{4} x\\left(22\\theta^4+64\\theta^3+51\\theta^2+19\\theta+3\\right)-2^{9} x^{2}\\left(174\\theta^4-624\\theta^3-945\\theta^2-417\\theta-80\\right)-2^{14} x^{3}\\left(2230\\theta^4+3000\\theta^3-5121\\theta^2-3813\\theta-971\\right)+2^{19} x^{4}\\left(2860\\theta^4-33320\\theta^3+3363\\theta^2+6847\\theta+2402\\right)+2^{27} x^{5}\\left(7332\\theta^4+480\\theta^3+81\\theta^2+1380\\theta+719\\right)+2^{36} 7 x^{6}(\\theta+1)(46\\theta^3+86\\theta^2+67\\theta+20)-2^{45} 7^{2} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "-80 -249872", "discriminant": "7 1 352 -89088 -36536320 1499463680 984084381696 22127671508992 -1724034232352768", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "341389ebf4ab0242c5b70d9a8fd7a1d9", "dim_h": null, "inst": " -80 -4202 -249872 -22251117 -2195810928 -242075456098 -28398707449808 -3506021022953923 -449382234721506176 -59370368013868946798", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(64z+1)(32z-1)(224z-1)^2(256z+1)^3", "discr_factors": "-1724034232352768, (z-1/224)^2, (z+1/256)^3, z+1/64, 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":"-1/64","im":"0","approx_re":"-0.015625","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","1/2","3/2","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":"1/224","im":"0","approx_re":"0.00446428571429","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3380*X^4-4120*X^3-3710*X^2-1650*X-300, 185584*X^4+413632*X^3+501164*X^2+305480*X+76320, -5544384*X^4-17179008*X^3-25159152*X^2-18009840*X-5113440, 99910656*X^4+385357824*X^3+644136192*X^2+508886784*X+154972224, -1120960512*X^4-5065998336*X^3-9322573824*X^2-7852363776*X-2491250688, 7686586368*X^4+39154876416*X^3+77370163200*X^2+67974266880*X+22084337664, -509607936*(X+1)^2*(58*X^2+208*X+201), 48922361856*(X+1)^2*(X+2)^2]", "text": "This is operator \"8.79\" from ...", "degz": 8, "h3": null, "sol": "1 12 204 4368 112140 3300912 107091024 3718116288 135443387916 5110962695760", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 25 -300 -1650 -3710 -4120 -3380 76320 305480 501164 413632 185584 -5113440 -18009840 -25159152 -17179008 -5544384 154972224 508886784 644136192 385357824 99910656 -2491250688 -7852363776 -9322573824 -5065998336 -1120960512 22084337664 67974266880 77370163200 39154876416 7686586368 -102431195136 -310860840960 -343985356800 -165112971264 -29557260288 195689447424 587068342272 635990704128 293534171136 48922361856", "new_number": "8.79", "id": 528, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(338\\theta^4+412\\theta^3+371\\theta^2+165\\theta+30\\right)+2^{2} x^{2}\\left(46396\\theta^4+103408\\theta^3+125291\\theta^2+76370\\theta+19080\\right)-2^{4} 3 x^{3}\\left(115508\\theta^4+357896\\theta^3+524149\\theta^2+375205\\theta+106530\\right)+2^{6} 3^{2} x^{4}\\left(173456\\theta^4+669024\\theta^3+1118292\\theta^2+883484\\theta+269049\\right)-2^{11} 3^{3} x^{5}\\left(20272\\theta^4+91616\\theta^3+168594\\theta^2+142006\\theta+45053\\right)+2^{14} 3^{4} x^{6}\\left(5792\\theta^4+29504\\theta^3+58300\\theta^2+51220\\theta+16641\\right)-2^{21} 3^{5} x^{7}(\\theta+1)^2(58\\theta^2+208\\theta+201)+2^{26} 3^{6} x^{8}(\\theta+1)^2(\\theta+2)^2", "superseek": "22/5 68", "discriminant": "8 25 -3380 185584 -5544384 99910656 -1120960512 7686586368 -29557260288 48922361856", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "064e5b590dd8b6a4daa1e905fbe693c2", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(-1+48z)(16z-1)^2(48z-5)^2(12z-1)^3", "discr_factors": "48922361856, (z-1/12)^3, (z-1/16)^2, -1/48+z, (z-5/48)^2", "dm_basis": null, "q": "0 1 -18 233 -2988 33412 -382914 3792338 -42902088 352614016", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","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":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/48","im":"0","approx_re":"0.104166666667","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -57*X^4-116*X^3-84*X^2-26*X-3, -1788*X^4-6416*X^3-9142*X^2-5542*X-1302, -14644*X^4-112736*X^3-249566*X^2-202198*X-59514, 125406*X^4-487440*X^3-2519838*X^2-2493126*X-815346, 2853954*X^4+7949016*X^3-5063310*X^2-12942666*X-5601636, 14198004*X^4+109699920*X^3+104542974*X^2+18882558*X-10143306, -70150212*X^4+306110016*X^3+547384230*X^2+322053246*X+54915570, -990074583*X^4-2066242608*X^3-1807962282*X^2-774840978*X-143489070, -3486784401*(X+1)^4]", "text": "This is operator \"9.3\" from ...", "degz": 9, "h3": null, "sol": "1 3 135 5349 258039 13868253 798329169 48299457195 3032418099447 195934418454837", "n_discr_factors": "3", "c3": null, "operator": "4 9 0 0 0 0 1 -3 -26 -84 -116 -57 -1302 -5542 -9142 -6416 -1788 -59514 -202198 -249566 -112736 -14644 -815346 -2493126 -2519838 -487440 125406 -5601636 -12942666 -5063310 7949016 2853954 -10143306 18882558 104542974 109699920 14198004 54915570 322053246 547384230 306110016 -70150212 -143489070 -774840978 -1807962282 -2066242608 -990074583 -3486784401 -13947137604 -20920706406 -13947137604 -3486784401", "new_number": "9.3", "id": 542, "operator_tex": "\\theta^4-x\\left(57\\theta^4+116\\theta^3+84\\theta^2+26\\theta+3\\right)-2 x^{2}\\left(894\\theta^4+3208\\theta^3+4571\\theta^2+2771\\theta+651\\right)-2 x^{3}\\left(7322\\theta^4+56368\\theta^3+124783\\theta^2+101099\\theta+29757\\right)+2 3^{2} x^{4}\\left(6967\\theta^4-27080\\theta^3-139991\\theta^2-138507\\theta-45297\\right)+2 3^{4} x^{5}\\left(17617\\theta^4+49068\\theta^3-31255\\theta^2-79893\\theta-34578\\right)+2 3^{8} x^{6}\\left(1082\\theta^4+8360\\theta^3+7967\\theta^2+1439\\theta-773\\right)-2 3^{11} x^{7}\\left(198\\theta^4-864\\theta^3-1545\\theta^2-909\\theta-155\\right)-3^{15} x^{8}\\left(69\\theta^4+144\\theta^3+126\\theta^2+54\\theta+10\\right)-3^{20} x^{9}\\left((\\theta+1)^4\\right)", "superseek": "10 3394/3", "discriminant": "9 1 -57 -1788 -14644 125406 2853954 14198004 -70150212 -990074583 -3486784401", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "40e3715abcc5c4cb07e700ca79f80abf", "dim_h": null, "inst": " 10 77 3394/3 24029 640402 58912007/3 659800738 23733455789 2698636083688/3 35532268316211", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+81z)(-1+9z)^2(81z^2+14z+1)^3", "discr_factors": "-3486784401, -1/81+z, (-1/9+z)^2, (z^2+14/81*z+1/81)^3", "dm_basis": null, "q": "0 1 -14 -135 -458 -22038 -1292652 -48153487 -1891905026 -78912224514", "yuk": "1 10 626 30556 1538482 80050260 4241695676 226311653144 12151530902450 655768568366740", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/81","im":"-4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"-0.069838","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/81","im":"4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"0.069838","exponents":["0","1/2","3/2","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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 621*X^4+1188*X^3+972*X^2+378*X+63, 96228*X^4+804816*X^3+1086210*X^2+584658*X+131706, -42594012*X^4+158723712*X^3+418106286*X^2+246313062*X+59954418, -18724792194*X^4-22745674800*X^3+77332105674*X^2+63085235346*X+18484580862, -1799439031242*X^4-14191987353048*X^3+4377593245374*X^2+8359759311642*X+3288941671284, 459544236914196*X^4-1699598188423440*X^3-24414464375802*X^2+542955093354918*X+275839513963110, 122711114728410804*X^4+50511957740553888*X^3+42688094720957226*X^2+44335223777714418*X+18804723397977942, 8555394211928949897*X^4+16810599153263901552*X^3+11707381553165931438*X^2+3302081976533980662*X+300189270593998242, -328256967394537077627*(X+1)^4]", "text": "This is operator \"9.4\" from ...", "degz": 9, "h3": null, "sol": "1 -63 4455 34551 -114913161 30602620287 -5040143263791 399712092845625 73215019075182327 -39771176551496250777", "n_discr_factors": "3", "c3": null, "operator": "4 9 0 0 0 0 1 63 378 972 1188 621 131706 584658 1086210 804816 96228 59954418 246313062 418106286 158723712 -42594012 18484580862 63085235346 77332105674 -22745674800 -18724792194 3288941671284 8359759311642 4377593245374 -14191987353048 -1799439031242 275839513963110 542955093354918 -24414464375802 -1699598188423440 459544236914196 18804723397977942 44335223777714418 42688094720957226 50511957740553888 122711114728410804 300189270593998242 3302081976533980662 11707381553165931438 16810599153263901552 8555394211928949897 -328256967394537077627 -1313027869578148310508 -1969541804367222465762 -1313027869578148310508 -328256967394537077627", "new_number": "9.4", "id": 543, "operator_tex": "\\theta^4+3^{2} x\\left(69\\theta^4+132\\theta^3+108\\theta^2+42\\theta+7\\right)+2 3^{5} x^{2}\\left(198\\theta^4+1656\\theta^3+2235\\theta^2+1203\\theta+271\\right)-2 3^{9} x^{3}\\left(1082\\theta^4-4032\\theta^3-10621\\theta^2-6257\\theta-1523\\right)-2 3^{12} x^{4}\\left(17617\\theta^4+21400\\theta^3-72757\\theta^2-59353\\theta-17391\\right)-2 3^{17} x^{5}\\left(6967\\theta^4+54948\\theta^3-16949\\theta^2-32367\\theta-12734\\right)+2 3^{22} x^{6}\\left(7322\\theta^4-27080\\theta^3-389\\theta^2+8651\\theta+4395\\right)+2 3^{29} x^{7}\\left(894\\theta^4+368\\theta^3+311\\theta^2+323\\theta+137\\right)+3^{36} x^{8}\\left(57\\theta^4+112\\theta^3+78\\theta^2+22\\theta+2\\right)-3^{43} x^{9}\\left((\\theta+1)^4\\right)", "superseek": "-90 -413926", "discriminant": "9 1 621 96228 -42594012 -18724792194 -1799439031242 459544236914196 122711114728410804 8555394211928949897 -328256967394537077627", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e2329b2f9cd1e3f65d29644e6ce39d24", "dim_h": null, "inst": " -90 -8685/2 -413926 -38862153 -4502063682 -1160798198855/2 -78997404823794 -11316942525045753 -1684968614368188280 -516710619226734930693/2", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+27z)(-1+243z)^2(59049z^2+378z+1)^3", "discr_factors": "-328256967394537077627, -1/27+z, (z^2+14/2187*z+1/59049)^3, (-1/243+z)^2", "dm_basis": null, "q": "0 1 126 18873 2482170 359156970 54095097996 8455289580657 1363385621250162 225172657035540990", "yuk": "1 -90 -34830 -11176092 -2487212622 -562757960340 -125366216687172 -27096109854561432 -5794274575310638158 -1228342119874420432212", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/2187","im":"-4/2187*2^(1/2)","approx_re":"-0.00320073159579","approx_im":"-0.002587","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/2187","im":"4/2187*2^(1/2)","approx_re":"-0.00320073159579","approx_im":"0.002587","exponents":["0","1/2","3/2","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":"1/243","im":"0","approx_re":"0.00411522633745","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}