{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -17280*(X+1/2)^4-15288*(X+1/2)^2-462, 98537472*(X+1)^4+80745984*(X+1)^2+7061904, -859963392*(X+3/2)^2*(240*(X+3/2)^2+169), 3962711310336*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $AESZ 66 =$D \\ast \\alpha \\tilde c \\ast j$", "degz": 4, "h3": null, "sol": "1 5364 29367900 170217457200 1029027458497500 6396798260167351344 40516714072724617533456 260029813122930776438433600 1685090543488031316816654990300 11001488991531550865698731563674800", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -5364 -23928 -41208 -34560 -17280 186345360 555641856 671970816 394149888 98537472 -1371856601088 -3222282829824 -2931615203328 -1238347284480 -206391214080 2080423437926400 4358982441369600 3372267325095936 1141260857376768 142657607172096", "new_number": "4.19", "id": 114, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1440\\theta^4+2880\\theta^3+3434\\theta^2+1994\\theta+447\\right)+2^{4} 3^{4} x^{2}\\left(76032\\theta^4+304128\\theta^3+518496\\theta^2+428736\\theta+143785\\right)-2^{15} 3^{8} x^{3}(240\\theta^2+720\\theta+709)(2\\theta+3)^2+2^{26} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-864 -147560800", "discriminant": "4 1 -17280 98537472 -206391214080 142657607172096", "aesz": "~66", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b9b85f803521c6af3b5f7572d309f89a", "dim_h": null, "inst": " -864 -261684 -147560800 -120568926924 -88009904955744 -72338406331651444 -66286324404529432416 -63605775313297935288396 -62789590294133700641856352 -63763261933532396671270263924", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(6912z-1)^2(1728z-1)^2", "discr_factors": "142657607172096, (z-1/6912)^2, (z-1/1728)^2", "dm_basis": null, "q": "0 1 -2472 3404844 -4591592384 5333736689358 -5645526028060896 5755473275519706296 -5570409363132277922304 5163552434107359999841509", "yuk": "1 -864 -2094336 -3984142464 -7716413417472 -11001238119468864 -15625095771622947840 -22736209270753595319552 -32566156960416259281076224 -45773611324423467771897423072", "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":"1/6912","im":"0","approx_re":"0.000144675925926","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -29376*(X+1/2)^4-25212*(X+1/2)^2-645, 216110592*(X+1)^4-5987520*(X+1)^2+430272, -6718464*(X+3/2)^2*(816*(X+3/2)^2+553), 967458816*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to AESZ 149=$D \\ast \\gamma ~tilde g \\ast j$", "degz": 4, "h3": null, "sol": "1 8784 99982728 1239742123200 16039070549564328 212836312970070451200 2872358362827386137216512 39233318289531856214440015872 540734177784604434526512261576360 7505029434484718126637814782745333632", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -8784 -39900 -69276 -58752 -29376 210553344 852467328 1290676032 864442368 216110592 -36113423616 -85156531200 -77725910016 -32893599744 -5482266624 507915878400 1064204697600 823307452416 278628139008 34828517376", "new_number": "4.20", "id": 116, "operator_tex": "\\theta^4-2^{2} 3 x\\left(2448\\theta^4+4896\\theta^3+5773\\theta^2+3325\\theta+732\\right)+2^{6} 3^{4} x^{2}\\left(41688\\theta^4+166752\\theta^3+248973\\theta^2+164442\\theta+40616\\right)-2^{8} 3^{8} x^{3}(816\\theta^2+2448\\theta+2389)(2\\theta+3)^2+2^{14} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-2484 -1327731388", "discriminant": "4 1 -29376 216110592 -5482266624 34828517376", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "80035e90a6f24cd6da3d4c5adc98379f", "dim_h": null, "inst": " -2484 -1446309 -1327731388 -1580284433106 -2187358898922144 -3333084983275758103 -5431476536808370628796 -9299939636087488614405114 -16540355956250846925699785968 -30316727187835571138135877667944", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-14688z+186624z^2)^2", "discr_factors": "34828517376, (1/186624-17/216*z+z^2)^2", "dm_basis": null, "q": "0 1 -4764 8528094 -8141036080 4977670007085 -2438688593316744 1130289677354089490 -1033297716399959256000 48984521650677347996934", "yuk": "1 -2484 -11572956 -35848749960 -101138215291740 -273419862365270484 -719946356423424070680 -1862996452125271125679512 -4761569093676895308790710108 -12057919492106867408870992720632", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/432-1/36*2^(1/2)","im":"0","approx_re":"6.8e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/432+1/36*2^(1/2)","im":"0","approx_re":"0.078636","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12096*(X+1/2)^4-10788*(X+1/2)^2-339, 8726976+101590848*(X+1)^2+66811392*(X+1)^4, -544195584*(X+3/2)^2*(336*(X+3/2)^2+239), 6347497291776*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "This is operator \"4.21\" from ...", "degz": 4, "h3": null, "sol": "1 3792 9275400 7430606400 -68166524583000 -464596341265343232 -1718931909208528295424 -3618348072352420690483200 2300184841205997345252767400 61995153436412843743197951907200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -3792 -16836 -28932 -24192 -12096 177129216 470427264 502459200 267245568 66811392 -1218317863680 -2858659402752 -2598533913600 -1097098297344 -182849716224 3332436078182400 6982247020953600 5401720195301376 1828079220031488 228509902503936", "new_number": "4.21", "id": 117, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1008\\theta^4+2016\\theta^3+2411\\theta^2+1403\\theta+316\\right)+2^{6} 3^{2} x^{2}\\left(115992\\theta^4+463968\\theta^3+872325\\theta^2+816714\\theta+307516\\right)-2^{8} 3^{12} x^{3}(336\\theta^2+1008\\theta+995)(2\\theta+3)^2+2^{14} 3^{18} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-492 136094428", "discriminant": "4 1 -12096 66811392 -182849716224 228509902503936", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "595707be6cb20abc1dfeecf72492ae5f", "dim_h": null, "inst": " -492 128514 136094428 32416215738 -16919954920032 -25081894126382570 -10798647846388664100 4628276637816545092050 9612599272287001934026096 5072299890987974052401948304", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(15116544z^2-6048z+1)^2", "discr_factors": "228509902503936, (z^2-7/17496*z+1/15116544)^2", "dm_basis": null, "q": "0 1 -1668 3129822 -3591051856 4582578534189 -4682795317633080 4948605373685854994 -4702733898277550411328 4489208769582109560324870", "yuk": "1 -492 1027620 3674549064 2074638834852 -2114994365004492 -5417689127623057944 -3703936211311311786792 2369677638564145725964452 7007584869497224413579573048", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/34992","im":"-1/8748*2^(1/2)","approx_re":"0.000200045724737","approx_im":"-0.000162","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/34992","im":"1/8748*2^(1/2)","approx_re":"0.000200045724737","approx_im":"0.000162","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -20736*(X+1/2)^4-18000*(X+1/2)^2-492, 113467392*(X+1)^4+18330624*(X+1)^2+1939968, -3869835264*(X+3/2)^2*(16*(X+3/2)^2+11), 247669456896*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $D \\ast \\epsilon \\tilde d \\ast j$", "degz": 4, "h3": null, "sol": "1 6288 49006800 416705452800 3698851729136400 33681272937781480704 311932982382295022191872 2923944709736219442719846400 27656388114594756400576052989200 263429909404593083347831575185875200", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -6288 -28368 -49104 -41472 -20736 133737984 490530816 699134976 453869568 113467392 -409235079168 -963588980736 -878452604928 -371504185344 -61917364224 130026464870400 272436402585600 210766707818496 71328803586048 8916100448256", "new_number": "4.22", "id": 118, "operator_tex": "\\theta^4-2^{4} 3 x\\left(432\\theta^4+864\\theta^3+1023\\theta^2+591\\theta+131\\right)+2^{9} 3^{2} x^{2}\\left(24624\\theta^4+98496\\theta^3+151722\\theta^2+106452\\theta+29023\\right)-2^{14} 3^{10} x^{3}(16\\theta^2+48\\theta+47)(2\\theta+3)^2+2^{22} 3^{10} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-1488 -517984144", "discriminant": "4 1 -20736 113467392 -61917364224 8916100448256", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "7d70f749f0fd6381c088f4c1fac4d6df", "dim_h": null, "inst": " -1488 -704730 -517984144 -469396561641 -493072108113648 -573124059144496402 -710282017068116797776 -924822665992369737350799 -1250674565943802068474015616 -1742649598747772220671160126270", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(2985984z^2-10368z+1)^2", "discr_factors": "8916100448256, (z^2-1/288*z+1/2985984)^2", "dm_basis": null, "q": "0 1 -3216 3831552 -3121472512 2886132664752 -2689021314141696 2061211926480499712 -1595527447063571496960 1098926330327365589088408", "yuk": "1 -1488 -5639328 -13985573376 -30041385584352 -61634013514207488 -123794796789202434048 -243626731854364061638656 -473509204988123346909193440 -911741758573031707931542957440", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576-1/864*2^(1/2)","im":"0","approx_re":"9.9e-05","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576+1/864*2^(1/2)","im":"0","approx_re":"0.003373","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -15552*(X+1/2)^4-13500*(X+1/2)^2-369, 50388480*(X+1)^4-34292160*(X+1)^2-2702160, 4897760256*(X+3/2)^2*(16*(X+3/2)^2+11), 705277476864*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "This is operator \"4.23\" from ...", "degz": 4, "h3": null, "sol": "1 4716 31430916 223425214992 1654537886846532 12553361207715469680 96815184264340183464624 755472658494095667308730816 5947354313754393026474138585412 47142591780478152347203384002983472", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -4716 -21276 -36828 -31104 -15552 13394160 132969600 268038720 201553920 50388480 517938147072 1219542303744 1111791578112 470184984576 78364164096 370270675353600 775805224550400 600191132811264 203119913336832 25389989167104", "new_number": "4.23", "id": 119, "operator_tex": "\\theta^4-2^{2} 3^{2} x\\left(432\\theta^4+864\\theta^3+1023\\theta^2+591\\theta+131\\right)+2^{4} 3^{5} 5 x^{2}\\left(2592\\theta^4+10368\\theta^3+13788\\theta^2+6840\\theta+689\\right)+2^{8} 3^{14} x^{3}(16\\theta^2+48\\theta+47)(2\\theta+3)^2+2^{14} 3^{16} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-1116 -349462868", "discriminant": "4 1 -15552 50388480 78364164096 25389989167104", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "4cde44ecce8658b2c2ca6b3c279f4e62", "dim_h": null, "inst": " -1116 -586989 -349462868 -300569202144 -280354383814176 -296982683718981431 -330942057079152291732 -389740226852216102058576 -475399528533641734868803520 -598109644529459007164316811224", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(5038848z^2+7776z-1)^2", "discr_factors": "25389989167104, (z^2+1/648*z-1/5038848)^2", "dm_basis": null, "q": "0 1 -2412 949806 1750469136 -2111572819467 375181321827672 974436435410694930 -921111319627599911616 48784763819176278750594", "yuk": "1 -1116 -4697028 -9435498552 -19236433634244 -35044297976773116 -64148259692740183560 -113513125578149236065192 -199546996148353880687625156 -346566256301024824728793264632", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/1296-1/1944*3^(1/2)","im":"0","approx_re":"-0.001663","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1296+1/1944*3^(1/2)","im":"0","approx_re":"0.000119","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -19008*(X+1/2)^4-17076*(X+1/2)^2-555, 136982016*(X+1)^4+159091776*(X+1)^2+13734000, -839808000*(X+3/2)^2*(528*(X+3/2)^2+379), 15116544000000*(2*X+3)*(2*X+5)*(3*X+5)*(3*X+7)]", "text": "YY-Operator equivalent to $D \\ast \\eta ~b \\ast j$", "degz": 4, "h3": null, "sol": "1 6012 31439916 155468925360 741919701370860 3440334229212106512 15530980276763547700464 68197609142431078878827712 290322230075367777254926104300 1190585994177540597112900197838800", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -6012 -26580 -45588 -38016 -19008 309807792 866111616 980983872 547928064 136982016 -2960953056000 -6941013120000 -6304438656000 -2660511744000 -443418624000 7936185600000000 16628198400000000 12864178944000000 4353564672000000 544195584000000", "new_number": "4.24", "id": 120, "operator_tex": "\\theta^4-2^{2} 3 x\\left(1584\\theta^4+3168\\theta^3+3799\\theta^2+2215\\theta+501\\right)+2^{4} 3^{2} x^{2}\\left(951264\\theta^4+3805056\\theta^3+6812388\\theta^2+6014664\\theta+2151443\\right)-2^{8} 3^{8} 5^{3} x^{3}(528\\theta^2+1584\\theta+1567)(2\\theta+3)^2+2^{14} 3^{10} 5^{6} x^{4}(2\\theta+3)(2\\theta+5)(3\\theta+5)(3\\theta+7)", "superseek": "-612 51318900", "discriminant": "4 1 -19008 136982016 -443418624000 544195584000000", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "dc90e303db3462d0c0bd472762000ad5", "dim_h": null, "inst": " -612 -87372 51318900 24336059400 14111081636400 7632101153972412 2689453850253788052 -105216147647189676072 -1507370707788027902059752 -1598466549261264907286790000", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(23328000z^2-9504z+1)^2", "discr_factors": "544195584000000, (z^2-11/27000*z+1/23328000)^2", "dm_basis": null, "q": "0 1 -2532 4785318 -7335393424 10147405409025 -12793574387745432 15259861218545289266 -17285394597615440227392 18862018194471740749530900", "yuk": "1 -612 -699588 1385609688 1557507102012 1763885204549388 1648533850642951704 922482670637049301224 -53870667593803607046852 -1098873245977472339215949520", "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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["-1/2","0","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/54000","im":"-1/27000","approx_re":"0.000203703703704","approx_im":"-3.7037037037e-05","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/54000","im":"1/27000","approx_re":"0.000203703703704","approx_im":"3.7037037037e-05","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","5/3","7/3","5/2"],"monodromy":[],"monodromy_dm":[]}]}]}