{"count": 11, "status":"OK", "data":[{"pols": "[X^4, -1492992*X^4-2985984*X^3-3462912*X^2-1969920*X-421488, 61917364224*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "Operator equivalent to $\\hat{13}$ of AESZ", "degz": 2, "h3": null, "sol": "1 421488 241251334416 151434902650832640 99396938275247309913360 66982705221295861052979103488 45930793402209870606388009729630464 31886179044933974315938584958002702348288 22340825763852816148179255097826365737157270800 15765005459624533462430649410473718251082308459411200", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -421488 -1969920 -3462912 -2985984 -1492992 495338913792 2105190383616 3281620303872 2229025112064 557256278016", "new_number": "2.50", "id": 45, "operator_tex": "\\theta^4-2^{4} 3^{2} x\\left(10368\\theta^4+20736\\theta^3+24048\\theta^2+13680\\theta+2927\\right)+2^{20} 3^{10} x^{2}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "-201888 -40177844666400", "discriminant": "2 1 -1492992 557256278016", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "5309f0b5a4362f22faafad07a0eb1bb8", "dim_h": null, "inst": " -201888 -1567499400 -40177844666400 -988883543512335600 -35724019937142805037280 -1195288040031739680397888488 -49312571274502247527094531355552 -1905860636049170652686484217667001072 -84374002677576442597036996400924744725248 -3545810526263846884467644423184211250751003480", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(746496z-1)^2", "discr_factors": "557256278016, (z-1/746496)^2", "dm_basis": ["cy[DM_basis]"], "q": "0 1 -283968 43688105568 -5012704879896576 485518167363736868400 -42145587318746541132269568 3389377748957383965350280086016 -257686932189379034887694891704516608 18767233043532518749154918865211905653400", "yuk": "1 -201888 -12540197088 -1084801806194688 -63288546797329675488 -4465502492142850629861888 -258182216646856855780290103296 -16914211947154270901793424255156224 -975800645657175374238768466242834224352 -61508647951953226653239970377358940710900480", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["cy[T_DM][1]"]},{"re":"1/746496","im":"0","approx_re":"1.33959190672e-06","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":["23/24","-I*arctan(809/331)","47/576","0","0","-23/24","0","47/576","1","0","-23/24","I*arctan(809/331)","0","1","0","23/24"],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -59*X^4-118*X^3-105*X^2-46*X-8, 96*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"2.69\" from ...", "degz": 2, "h3": "160", "sol": "1 8 120 2240 46840 1051008 24757824 604538880 15179095800 389772468800", "n_discr_factors": "2", "c3": "-128", "operator": "4 2 0 0 0 0 1 -8 -46 -105 -118 -59 768 3264 5088 3456 864", "new_number": "2.69", "id": 65, "operator_tex": "\\theta^4-x\\left(59\\theta^4+118\\theta^3+105\\theta^2+46\\theta+8\\right)+2^{5} 3 x^{2}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "1 5", "discriminant": "2 1 -59 864", "aesz": "205", "n_sing_complex": "0", "inst_int": "", "c2h": "160", "hash": "4fb2e7002e630237d0458c3985cd6a18", "dim_h": "40", "inst": " 1 7/4 5 24 759/5 4475/4 8822 72536 615358 107517313/20", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(32z-1)(27z-1)", "discr_factors": "864, z-1/27, z-1/32", "dm_basis": ["-310145437/500000000*I", "100/3", "1", "1", "-20/3", "-80", "-1", "0", "0", "160", "0", "0", "-160", "0", "0", "0"], "q": "0 1 -14 133 -1032 6990 -43798 253594 -1428704 7475227", "yuk": "1 1 15 136 1551 18976 241800 3025947 37139983 448596118", "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":["1","-1","1/2","-1/6","0","1","-1","1/2","0","0","1","-1","0","0","0","1"],"monodromy_dm":["1","0","0","0","1","1","0","0","0","160","1","0","0","0","1","1"]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1.+.620290874*I","0","16/3*lambda",".2404755e-2","20/3","1","5/18","-16/3*lambda","0","0","1","0","160","0","20/3","1.-.620290874*I"],"monodromy_dm":["1","-40","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["3.333327178+1.235680918*I","-.293785798-.155290034*I",".97173439e-1+.52174089e-1*I","-.12126753e-1-.18089273e-1*I","13.327492354-.18865422e-1*I","-.677351606+.3680160e-2*I",".556724039+.2392839e-2*I","-.96900942e-1-.51907518e-1*I","39.969803488-.74697659e-1*I","-5.030457990+.13317419e-1*I","2.669647034+1/243*I*Pi^(1/6)*Zeta(5)^7","-.290681436-.15554156171284634760705289672544080604534005037783375314861460957178841309823677581863979848866498740554156171284634760705289672544080604534005037783375314861460957178841309823677581863979848866498741*I","319.859816505-.452770130*I","-40.256438534+.88323845e-1*I","13.361376945+.57428145e-1*I","-1.325622606-1.245780435*I"],"monodromy_dm":["-3001219/1000000-1031/500000*I","-50063529/500000+81061/1000000*I","-2250727/1000000+1691/500000*I","-499781/250000+283/100000*I","249997/500000+31/1000000*I","6755959/500000-15801/1000000*I","70313/250000-11/20000*I","249811/1000000-467/1000000*I","-39999541/1000000-2481/1000000*I","-500476737/500000+1264109/1000000*I","-21500131/1000000+5501/125000*I","-9992451/500000+37349/1000000*I","27999679/1000000+1737/1000000*I","87583429/125000-221219/250000*I","3937523/250000-6161/200000*I","14989431/1000000-817/31250*I"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -1464*X^4-1776*X^3-1392*X^2-504*X-72, 62128*X^4+85696*X^3+55216*X^2+20448*X+3648, -1032576*X^4-1716480*X^3-1648000*X^2-811008*X-158208, 6766592*X^4+17514496*X^3+19759104*X^2+10780672*X+2293760, -1572864*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.110\" from ...", "degz": 5, "h3": null, "sol": "1 8 264 13760 873640 62035008 4737460224 380801236992 31795322783400 2733835498222400", "n_discr_factors": "4", "c3": null, "operator": "4 5 0 0 0 0 9 -72 -504 -1392 -1776 -1464 3648 20448 55216 85696 62128 -158208 -811008 -1648000 -1716480 -1032576 2293760 10780672 19759104 17514496 6766592 -12582912 -53477376 -83361792 -56623104 -14155776", "new_number": "5.110", "id": 193, "operator_tex": "3^{2} \\theta^4-2^{3} 3 x\\left(61\\theta^4+74\\theta^3+58\\theta^2+21\\theta+3\\right)+2^{4} x^{2}\\left(3883\\theta^4+5356\\theta^3+3451\\theta^2+1278\\theta+228\\right)-2^{7} x^{3}\\left(8067\\theta^4+13410\\theta^3+12875\\theta^2+6336\\theta+1236\\right)+2^{14} x^{4}\\left(413\\theta^4+1069\\theta^3+1206\\theta^2+658\\theta+140\\right)-2^{19} 3 x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "32/3 6752/3", "discriminant": "5 9 -1464 62128 -1032576 6766592 -14155776", "aesz": "377", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "4b8e1b4341fae957e1766a0071de5ba5", "dim_h": null, "inst": " 32/3 731/6 6752/3 355219/6 5936896/3 152130019/2 9620513888/3 434121543602/3 6880335263104 1022806701520268/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(4z-1)(108z-1)(8z-1)(-3+64z)^2", "discr_factors": "-14155776, z-1/8, z-1/108, z-1/4, (-3/64+z)^2", "dm_basis": null, "q": "0 1 -24 54 -2336 -68931 -3364560 -160274470 -8059944576 -422609180202", "yuk": "1 32/3 2956/3 182336/3 3789988 742112032/3 49290311416/3 3299836263616/3 222270241694188/3 15047293220590784/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108","im":"0","approx_re":"0.00925925925926","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/64","im":"0","approx_re":"0.046875","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8","im":"0","approx_re":"0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4","im":"0","approx_re":"0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[841*X^4, -6728-47937*X-132733*X^2-169592*X^3-87754*X^4, 5568+57768*X+239159*X^2+424220*X^3+258647*X^4, -76560-336864*X-581647*X^2-532614*X^3-272743*X^4, 75616+332792*X+552228*X^2+421124*X^3+130696*X^4, -3468*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.24\" from ...", "degz": 5, "h3": "29", "sol": "1 8 264 13040 778840 51955008 3725735664 281152383072 22035642730200 1778348612268800", "n_discr_factors": "2", "c3": "-100", "operator": "4 5 0 0 0 0 841 -6728 -47937 -132733 -169592 -87754 5568 57768 239159 424220 258647 -76560 -336864 -581647 -532614 -272743 75616 332792 552228 421124 130696 -27744 -117912 -183804 -124848 -31212", "new_number": "5.24", "id": 232, "operator_tex": "29^{2} \\theta^4-29 x\\left(3026\\theta^4+5848\\theta^3+4577\\theta^2+1653\\theta+232\\right)+x^{2}\\left(5568+57768\\theta+239159\\theta^2+424220\\theta^3+258647\\theta^4\\right)-x^{3}\\left(76560+336864\\theta+581647\\theta^2+532614\\theta^3+272743\\theta^4\\right)+2^{2} 17 x^{4}\\left(1922\\theta^4+6193\\theta^3+8121\\theta^2+4894\\theta+1112\\right)-2^{2} 3 17^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "285/29 40626/29", "discriminant": "5 841 -87754 258647 -272743 130696 -31212", "aesz": "195", "n_sing_complex": "2", "inst_int": "", "c2h": "74", "hash": "49a600431b3e9aaa9d9d6947f8df7d2b", "dim_h": "11", "inst": " 285/29 2362/29 40626/29 997476/29 30096841/29 1036931650/29 39188167891/29 1585184851720/29 67548466106031/29 2999289959592904/29", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "-(27z^3-67z^2+102z-1)(-29+34z)^2", "discr_factors": "-31212, z^3-67/27*z^2+34/9*z-1/27, (-29/34+z)^2", "dm_basis": null, "q": "0 1 -25 146 -1925 -41626 -1710492 -73263248 -3311266553 -155893120414", "yuk": "1 285/29 19181/29 1097187/29 63857645/29 3762105410/29 223978352483/29 13441541586898/29 811614707938285/29 49242831792393786/29", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/162*(4157812+472068*93^(1/2))^(1/3)+7546/81/(4157812+472068*93^(1/2))^(1/3)+67/81","im":"0","approx_re":"0.009868","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"29/34","im":"0","approx_re":"0.852941176471","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324*(4157812+472068*93^(1/2))^(1/3)-3773/81/(4157812+472068*93^(1/2))^(1/3)+67/81","im":"1/2*3^(1/2)*(-1/162*(4157812+472068*93^(1/2))^(1/3)-7546/81/(4157812+472068*93^(1/2))^(1/3))","approx_re":"1.235807","approx_im":"-1.492036","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/324*(4157812+472068*93^(1/2))^(1/3)-3773/81/(4157812+472068*93^(1/2))^(1/3)+67/81","im":"-1/2*3^(1/2)*(-1/162*(4157812+472068*93^(1/2))^(1/3)-7546/81/(4157812+472068*93^(1/2))^(1/3))","approx_re":"1.235807","approx_im":"1.492036","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[529*X^4, -21183*X^4-47058*X^3-37812*X^2-14283*X-2116, -380851*X^4-1328584*X^3-1772673*X^2-1033528*X-221168, -951722*X^4-2620344*X^3-2057582*X^2-417864*X+54464, -603364*X^4-953360*X^3-349452*X^2+113152*X+66368, 6936*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.2\" from ...", "degz": 5, "h3": "46", "sol": "1 4 84 2200 71140 2541504 97536936 3933223536 164621744100 7091115631600", "n_discr_factors": "3", "c3": "-106", "operator": "4 5 0 0 0 0 529 -2116 -14283 -37812 -47058 -21183 -221168 -1033528 -1772673 -1328584 -380851 54464 -417864 -2057582 -2620344 -951722 66368 113152 -349452 -953360 -603364 55488 235824 367608 249696 62424", "new_number": "5.2", "id": 238, "operator_tex": "23^{2} \\theta^4-23 x\\left(921\\theta^4+2046\\theta^3+1644\\theta^2+621\\theta+92\\right)-x^{2}\\left(380851\\theta^4+1328584\\theta^3+1772673\\theta^2+1033528\\theta+221168\\right)-2 x^{3}\\left(475861\\theta^4+1310172\\theta^3+1028791\\theta^2+208932\\theta-27232\\right)-2^{2} 17 x^{4}\\left(8873\\theta^4+14020\\theta^3+5139\\theta^2-1664\\theta-976\\right)+2^{3} 3 17^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "80/23 4655/23", "discriminant": "5 529 -21183 -380851 -951722 -603364 62424", "aesz": "19", "n_sing_complex": "0", "inst_int": "", "c2h": "88", "hash": "4532f44d62f644bf66aa7b153d4f5c5a", "dim_h": "15", "inst": " 80/23 1157/46 4655/23 71184/23 1156690/23 22723282/23 477652417/23 10851707552/23 258585745581/23 12862622382465/46", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(z^2-11z-1)(23+34z)^2", "discr_factors": "62424, (23/34+z)^2, z-1/54, z^2-11*z-1", "dm_basis": null, "q": "0 1 -11 -37 371 -7540 -102111 -2527917 -63499383 -1687775155", "yuk": "1 80/23 4708/23 125765/23 4560484/23 144586330/23 4908359305/23 163834779111/23 5556078827108/23 188509008654314/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-23/34","im":"0","approx_re":"-0.676470588235","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2-5/2*5^(1/2)","im":"0","approx_re":"-0.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2+5/2*5^(1/2)","im":"0","approx_re":"11.09017","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -144*X^4-180*X^3-159*X^2-69*X-12, 7857*X^4+17820*X^3+20871*X^2+12096*X+2736, -205578*X^4-629856*X^3-851958*X^2-542376*X-129600, 2598156*X^4+9447840*X^3+13568148*X^2+8608032*X+2006208, -1417176*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "A-Incarnation: (3,0),(0,3),(1,1) intersection in $P^3 \\times \\P^3$.", "degz": 5, "h3": "54", "sol": "1 12 252 6600 198540 6616512 238795704 9174387024 370128617100 15513158060400", "n_discr_factors": "3", "c3": "-18", "operator": "4 5 0 0 0 0 1 -12 -69 -159 -180 -144 2736 12096 20871 17820 7857 -129600 -542376 -851958 -629856 -205578 2006208 8608032 13568148 9447840 2598156 -11337408 -48183984 -75110328 -51018336 -12754584", "new_number": "5.3", "id": 249, "operator_tex": "\\theta^4-3 x\\left(48\\theta^4+60\\theta^3+53\\theta^2+23\\theta+4\\right)+3^{2} x^{2}\\left(873\\theta^4+1980\\theta^3+2319\\theta^2+1344\\theta+304\\right)-2 3^{4} x^{3}\\left(1269\\theta^4+3888\\theta^3+5259\\theta^2+3348\\theta+800\\right)+2^{2} 3^{6} x^{4}\\left(891\\theta^4+3240\\theta^3+4653\\theta^2+2952\\theta+688\\right)-2^{3} 3^{11} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "3 245/3", "discriminant": "5 1 -144 7857 -205578 2598156 -12754584", "aesz": "20", "n_sing_complex": "0", "inst_int": "", "c2h": "72", "hash": "a9a698dc5c79ffda497a7897390408b0", "dim_h": "15", "inst": " 3 33/2 245/3 879 11829 993487/6 2570790 43196640 2285716376/3 27978313311/2", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(54z-1)(27z-1)^2(18z-1)^2", "discr_factors": "-12754584, (z-1/18)^2, z-1/54, (z-1/27)^2", "dm_basis": null, "q": "0 1 -21 306 -3931 41658 -433134 3702113 -38458437 216542484", "yuk": "1 3 135 2208 56391 1478628 35767872 881780973 22116736071 555429081576", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/18","im":"0","approx_re":"0.0555555555556","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -1776*X^4-3300*X^3-2487*X^2-837*X-108, 13801*X^4+6652*X^3-18041*X^2-14904*X-3312, -2*X*(8461*X^3-29160*X^2-28365*X-7236), -43092*X^4-72576*X^3-40908*X^2-5376*X+1344, -1176*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.76\" from ...", "degz": 5, "h3": "18", "sol": "1 12 732 67080 7456140 926920512 123962745144 17452988516304 2552819496885900 384553561286809200", "n_discr_factors": "3", "c3": "-90", "operator": "4 5 0 0 0 0 9 -108 -837 -2487 -3300 -1776 -3312 -14904 -18041 6652 13801 0 14472 56730 58320 -16922 1344 -5376 -40908 -72576 -43092 -9408 -39984 -62328 -42336 -10584", "new_number": "5.76", "id": 289, "operator_tex": "3^{2} \\theta^4-3 x\\left(592\\theta^4+1100\\theta^3+829\\theta^2+279\\theta+36\\right)+x^{2}\\left(13801\\theta^4+6652\\theta^3-18041\\theta^2-14904\\theta-3312\\right)-2 x^{3}\\theta(8461\\theta^3-29160\\theta^2-28365\\theta-7236)-2^{2} 3 7 x^{4}\\left(513\\theta^4+864\\theta^3+487\\theta^2+64\\theta-16\\right)-2^{3} 3 7^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "73/3 11119", "discriminant": "5 9 -1776 13801 -16922 -43092 -10584", "aesz": "306", "n_sing_complex": "0", "inst_int": "", "c2h": "60", "hash": "d14307aa38b16c728ee31e5936937c44", "dim_h": "8", "inst": " 73/3 2131/6 11119 518671 29749701 3901038259/2 140360129678 10814052859404 877844110264408 445563524466054257/6", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(z+1)(54z^2+189z-1)(-3+14z)^2", "discr_factors": "-10584, z+1, (-3/14+z)^2, z^2+7/2*z-1/54", "dm_basis": null, "q": "0 1 -45 378 -10275 -622278 -44377758 -3650207751 -314202691197 -28179105875892", "yuk": "1 73/3 8597/3 900712/3 99593429/3 11156137948/3 1263937305152/3 144430573438735/3 16610385291637973/3 1919845069149161008/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/4-11/36*33^(1/2)","im":"0","approx_re":"-3.505283","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/4+11/36*33^(1/2)","im":"0","approx_re":"0.005283","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/14","im":"0","approx_re":"0.214285714286","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 624+3360*X+7248*X^2+7776*X^3+4752*X^4, 4686336+20984832*X+39191040*X^2+30606336*X^3+5598720*X^4, 14655209472+53389393920*X+70409502720*X^2+26443874304*X^3-4192321536*X^4, 13590861447168+38450683183104*X+28451028860928*X^2-23962019954688*X^3-10309241143296*X^4, 909442245722112-8238476814188544*X-30814043149172736*X^2-32739920845996032*X^3-1444408272617472*X^4, -2311053236187955200-8227349520829120512*X-7765138873591529472*X^2+1663958330055327744*X^3+4159895825138319360*X^4, 159739999685311463424*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"7.14\" from ...", "degz": 7, "h3": null, "sol": "1 -624 633744 -768218880 1020122073360 -1430786566266624 2080554472138496256 -3103547316498347913216 4718030753658970501578000 -7277904953513591675999635200", "n_discr_factors": "4", "c3": null, "operator": "4 7 0 0 0 0 1 624 3360 7248 7776 4752 4686336 20984832 39191040 30606336 5598720 14655209472 53389393920 70409502720 26443874304 -4192321536 13590861447168 38450683183104 28451028860928 -23962019954688 -10309241143296 909442245722112 -8238476814188544 -30814043149172736 -32739920845996032 -1444408272617472 -2311053236187955200 -8227349520829120512 -7765138873591529472 1663958330055327744 4159895825138319360 1277919997482491707392 5431159989300589756416 8466219983321507561472 5750639988671212683264 1437659997167803170816", "new_number": "7.14", "id": 436, "operator_tex": "\\theta^4+2^{4} 3 x\\left(99\\theta^4+162\\theta^3+151\\theta^2+70\\theta+13\\right)+2^{9} 3^{4} x^{2}\\left(135\\theta^4+738\\theta^3+945\\theta^2+506\\theta+113\\right)-2^{14} 3^{7} x^{3}\\left(117\\theta^4-738\\theta^3-1965\\theta^2-1490\\theta-409\\right)-2^{19} 3^{10} x^{4}\\left(333\\theta^4+774\\theta^3-919\\theta^2-1242\\theta-439\\right)-2^{25} 3^{13} x^{5}\\left(27\\theta^4+612\\theta^3+576\\theta^2+154\\theta-17\\right)+2^{31} 3^{16} x^{6}\\left(45\\theta^4+18\\theta^3-84\\theta^2-89\\theta-25\\right)+2^{37} 3^{19} x^{7}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "-48 -38929520", "discriminant": "7 1 4752 5598720 -4192321536 -10309241143296 -1444408272617472 4159895825138319360 1437659997167803170816", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "d8c602210ad81a2daef74d36a78ea933", "dim_h": null, "inst": " -48 -160806 -38929520 -13792511646 -7174458915600 -3543968193677102 -1900494640341241008 -1105712829737024134230 -653817764751001095310976 -399882833659099345956845250", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(432z+1)(864z+1)(864z-1)^2(1728z+1)^3", "discr_factors": "1437659997167803170816, (z+1/1728)^3, z+1/864, z+1/432, (z-1/864)^2", "dm_basis": null, "q": "0 1 864 607392 432571392 310105957680 221994782272512 160166371070227968 116120984171928551424 84559048815361593820824", "yuk": "1 -48 -1286496 -1051097088 -882722031840 -896807364450048 -765497130886637568 -651869661637045665792 -566124968826239078757600 -476633150503479799532798592", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/432","im":"0","approx_re":"-0.00231481481481","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/864","im":"0","approx_re":"-0.00115740740741","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1728","im":"0","approx_re":"-0.000578703703704","approx_im":"0.0","exponents":["0","0","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":"1/864","im":"0","approx_re":"0.00115740740741","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[81*X^4, -9909*X^4-10746*X^3-7965*X^2-2592*X-324, -86400*X^4-898992*X^3-1561248*X^2-867888*X-169344, 13910208*X^4+19715328*X^3-9327168*X^2-14961024*X-4326912, 112509952*X^4+634849280*X^3+57610240*X^2-224283648*X-80093184, -4664246272*X^4+2094891008*X^3+4194140160*X^2+1856798720*X+224215040, -74138910720*X^4-70271631360*X^3-47035842560*X^2-21172322304*X-4385669120, -359250526208*X^4-918267363328*X^3-1016095309824*X^2-545863499776*X-115091701760, -78920024064*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"8.47\" from ...", "degz": 8, "h3": null, "sol": "1 4 228 12640 901540 70455504 5932407936 524802634752 48205904264100 4557901439462800", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 81 -324 -2592 -7965 -10746 -9909 -169344 -867888 -1561248 -898992 -86400 -4326912 -14961024 -9327168 19715328 13910208 -80093184 -224283648 57610240 634849280 112509952 224215040 1856798720 4194140160 2094891008 -4664246272 -4385669120 -21172322304 -47035842560 -70271631360 -74138910720 -115091701760 -545863499776 -1016095309824 -918267363328 -359250526208 -631360192512 -2683280818176 -4182761275392 -2841120866304 -710280216576", "new_number": "8.47", "id": 493, "operator_tex": "3^{4} \\theta^4-3^{3} x\\left(367\\theta^4+398\\theta^3+295\\theta^2+96\\theta+12\\right)-2^{4} 3^{3} x^{2}\\left(200\\theta^4+2081\\theta^3+3614\\theta^2+2009\\theta+392\\right)+2^{6} 3 x^{3}\\left(72449\\theta^4+102684\\theta^3-48579\\theta^2-77922\\theta-22536\\right)+2^{10} x^{4}\\left(109873\\theta^4+619970\\theta^3+56260\\theta^2-219027\\theta-78216\\right)-2^{14} 7 x^{5}\\left(40669\\theta^4-18266\\theta^3-36570\\theta^2-16190\\theta-1955\\right)-2^{17} 7 x^{6}\\left(80805\\theta^4+76590\\theta^3+51265\\theta^2+23076\\theta+4780\\right)-2^{24} 7^{2} x^{7}\\left(437\\theta^4+1117\\theta^3+1236\\theta^2+664\\theta+140\\right)-2^{29} 3 7^{2} x^{8}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "31/3 43174/9", "discriminant": "8 81 -9909 -86400 13910208 112509952 -4664246272 -74138910720 -359250526208 -710280216576", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b79bf25fcecf028aa40c1a6a8233efe7", "dim_h": null, "inst": " 31/3 1964/9 43174/9 1469755/9 19813517/3 315467008 148386069209/9 925792234621 492778954234601/9 10128857593326760/3", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(27z+1)(2048z^3+768z^2+112z-1)(-9+168z+3584z^2)^2", "discr_factors": "-710280216576, z+1/27, (-9/3584+3/64*z+z^2)^2, z^3+3/8*z^2+7/128*z-1/2048", "dm_basis": null, "q": "0 1 -16 -434 -4696 -227995 -13002992 -803331770 -50035732496 -3256430021246", "yuk": "1 31/3 15805/9 388597/3 94080125/9 2476689656/3 613269045055/9 50896421738780/9 4266050711213693/9 119745285879396640/3", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(189+33*33^(1/2))^(1/3)+1/16/(189+33*33^(1/2))^(1/3)-1/8","im":"-1/16*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.191715","approx_im":"-0.145483","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/96*(189+33*33^(1/2))^(1/3)+1/16/(189+33*33^(1/2))^(1/3)-1/8","im":"1/16*3^(1/2)*(1/6*(189+33*33^(1/2))^(1/3)+1/(189+33*33^(1/2))^(1/3))","approx_re":"-0.191715","approx_im":"0.145483","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/128-3/896*273^(1/2)","im":"0","approx_re":"-0.078759","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48*(189+33*33^(1/2))^(1/3)-1/8/(189+33*33^(1/2))^(1/3)-1/8","im":"0","approx_re":"0.00843","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/128+3/896*273^(1/2)","im":"0","approx_re":"0.031884","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2/3","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 744+3900*X+8364*X^2+8928*X^3+5328*X^4, 6786432+28100736*X+43811712*X^2+31933440*X^3+11653632*X^4, 12405104640+47235280896*X+63285940224*X^2+43643142144*X^3+15085191168*X^4, 3783743373312+20662340419584*X+39428461559808*X^2+38326848454656*X^3+14148117725184*X^4, -232644176510976+8284543333171200*X+27803373231144960*X^2+26641308139388928*X^3+9629388484116480*X^4, 1749267579144241152+8489268887597088768*X+15234976500336820224*X^2+11647708310387294208*X^3+4622106472375910400*X^4, 528029443404224004096+2475969995122327683072*X+4605836657593147195392*X^2+4153239991818098049024*X^3+1597399996853114634240*X^4, 30670079939579800977408*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"8.76\" from ...", "degz": 8, "h3": null, "sol": "1 -744 843624 -1099121280 1536242069160 -2240456761335744 3361795804206556416 -5148054252348430934016 8004598540092218178873000 -12594534180181314007557768000", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 1 744 3900 8364 8928 5328 6786432 28100736 43811712 31933440 11653632 12405104640 47235280896 63285940224 43643142144 15085191168 3783743373312 20662340419584 39428461559808 38326848454656 14148117725184 -232644176510976 8284543333171200 27803373231144960 26641308139388928 9629388484116480 1749267579144241152 8489268887597088768 15234976500336820224 11647708310387294208 4622106472375910400 528029443404224004096 2475969995122327683072 4605836657593147195392 4153239991818098049024 1597399996853114634240 245360639516638407819264 1042782717945713233231872 1625514236797729451802624 1104122877824872835186688 276030719456218208796672", "new_number": "8.76", "id": 525, "operator_tex": "\\theta^4+2^{2} 3 x\\left(444\\theta^4+744\\theta^3+697\\theta^2+325\\theta+62\\right)+2^{7} 3^{2} x^{2}\\left(10116\\theta^4+27720\\theta^3+38031\\theta^2+24393\\theta+5891\\right)+2^{12} 3^{4} x^{3}\\left(45468\\theta^4+131544\\theta^3+190749\\theta^2+142371\\theta+37390\\right)+2^{17} 3^{6} x^{4}\\left(148068\\theta^4+401112\\theta^3+412641\\theta^2+216243\\theta+39599\\right)+2^{23} 3^{9} x^{5}\\left(58320\\theta^4+161352\\theta^3+168390\\theta^2+50175\\theta-1409\\right)+2^{29} 3^{12} x^{6}\\left(16200\\theta^4+40824\\theta^3+53397\\theta^2+29754\\theta+6131\\right)+2^{35} 3^{17} x^{7}\\left(360\\theta^4+936\\theta^3+1038\\theta^2+558\\theta+119\\right)+2^{43} 3^{20} x^{8}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "-204 66054580/3", "discriminant": "8 1 5328 11653632 15085191168 14148117725184 9629388484116480 4622106472375910400 1597399996853114634240 276030719456218208796672", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a1b606169a188129e64002b152d24330", "dim_h": null, "inst": " -204 6654 66054580/3 6573546582 118182295200 -2656890725215682/3 -438640212197072580 -50520199191793858002 193901718038378149238992/3 45978267847610876532551280", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(432z+1)(864z+1)(1728z+1)^2(497664z^2+288z+1)^2", "discr_factors": "276030719456218208796672, z+1/432, (z^2+1/1728*z+1/497664)^2, (z+1/1728)^2, z+1/864", "dm_basis": null, "q": "0 1 924 641502 372437552 183579544365 76122109346184 26165909538619154 7481478465451494336 2059935154025021071110", "yuk": "1 -204 53028 594491016 420707034276 14772786899796 -191296131620984856 -150453592783595895144 -25866341985777748262748 47118117483325890859566072", "gv2": null, "gv0": null, "gv1": null, 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{"pols": "[25*X^4, -3465*X^4-6210*X^3-4655*X^2-1550*X-200, -10544*X^4-159632*X^3-274784*X^2-163200*X-34560, -231520*X^4+619968*X^3+1110880*X^2+233280*X-49920, -3804416*X^4-10283008*X^3+18050816*X^2+22615552*X+6764544, -7140352*X^4-30091264*X^3-102255616*X^2-59848704*X-10100736, -113885184*X^4+421281792*X^3+565968896*X^2+237109248*X+27525120, -731348992*X^4-1813053440*X^3-1852342272*X^2-926351360*X-187432960, 95158272*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"8.77\" from ...", "degz": 8, "h3": null, "sol": "1 8 408 28160 2360440 220795008 22199225664 2348599064064 258063453271800 29197735043048000", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 25 -200 -1550 -4655 -6210 -3465 -34560 -163200 -274784 -159632 -10544 -49920 233280 1110880 619968 -231520 6764544 22615552 18050816 -10283008 -3804416 -10100736 -59848704 -102255616 -30091264 -7140352 27525120 237109248 565968896 421281792 -113885184 -187432960 -926351360 -1852342272 -1813053440 -731348992 761266176 3235381248 5043388416 3425697792 856424448", "new_number": "8.77", "id": 526, "operator_tex": "5^{2} \\theta^4-5 x\\left(693\\theta^4+1242\\theta^3+931\\theta^2+310\\theta+40\\right)-2^{4} x^{2}\\left(659\\theta^4+9977\\theta^3+17174\\theta^2+10200\\theta+2160\\right)-2^{5} x^{3}\\left(7235\\theta^4-19374\\theta^3-34715\\theta^2-7290\\theta+1560\\right)-2^{8} x^{4}\\left(14861\\theta^4+40168\\theta^3-70511\\theta^2-88342\\theta-26424\\right)-2^{10} x^{5}\\left(6973\\theta^4+29386\\theta^3+99859\\theta^2+58446\\theta+9864\\right)-2^{14} x^{6}\\left(6951\\theta^4-25713\\theta^3-34544\\theta^2-14472\\theta-1680\\right)-2^{15} 11 x^{7}\\left(2029\\theta^4+5030\\theta^3+5139\\theta^2+2570\\theta+520\\right)+2^{18} 3 11^{2} x^{8}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "91/5 25991/5", "discriminant": "8 25 -3465 -10544 -231520 -3804416 -7140352 -113885184 -731348992 856424448", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "fa37d863a8d0cc4b7a34e7d9b5e3a1a5", "dim_h": null, "inst": " 91/5 1158/5 25991/5 192163 42855113/5 437100460 122438945778/5 7343507466103/5 92814672110402 6112616465190006", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(z-1)(8z+1)(864z^2+136z-1)(5-24z+352z^2)^2", "discr_factors": "856424448, z+1/8, z^2+17/108*z-1/864, z-1, (5/352-3/44*z+z^2)^2", "dm_basis": null, "q": "0 1 -30 -75 32 -275298 -14387718 -880796726 -59527364352 -4151577097749", "yuk": "1 91/5 1871 701848/5 12300303 5356889216/5 472069207912/5 8399311680389 3759875884146251/5 338309479843117138/5", "gv2": null, "gv0": null, "gv1": null, 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