{"count": 7, "status":"OK", "data":[{"pols": "[X^4, -448*(X+1/2)^4-412*(X+1/2)^2-13, 91648*(X+1)^4+144448*(X+1)^2+12736, -82944*(X+3/2)^2*(112*(X+3/2)^2+89), 107495424*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "YY-Operator equivalent to AESZ 150=$ A \\ast \\delta $", "degz": 4, "h3": null, "sol": "1 144 13320 432320 -127603800 -33213869568 -4622348436992 -369487705466880 6608967774500520 8246344074310742400", "n_discr_factors": "1", "c3": null, "operator": "4 4 0 0 0 0 1 -144 -636 -1084 -896 -448 248832 655488 694336 366592 91648 -63638784 -147557376 -132793344 -55738368 -9289728 6449725440 13329432576 10212065280 3439853568 429981696", "new_number": "4.3", "id": 137, "operator_tex": "\\theta^4-2^{2} x\\left(112\\theta^4+224\\theta^3+271\\theta^2+159\\theta+36\\right)+2^{6} x^{2}\\left(1432\\theta^4+5728\\theta^3+10849\\theta^2+10242\\theta+3888\\right)-2^{8} 3^{4} x^{3}(112\\theta^2+336\\theta+341)(2\\theta+3)^2+2^{14} 3^{8} x^{4}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "-20 5924", "discriminant": "4 1 -448 91648 -9289728 429981696", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "4163e7dfeb4b46f62bda072d071020fc", "dim_h": null, "inst": " -20 199 5924 82010 -1170848 -92226419 -2051645148 18334803698 2749155476112 79788570171384", "cleanlist": "True", "n_sing_real": "1", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "2", "laurent": null, "discriminant_tex": "(1-224z+20736z^2)^2", "discr_factors": "429981696, (1/20736-7/648*z+z^2)^2", "dm_basis": null, "q": "0 1 -60 4062 -161456 7582509 -281492040 10960968978 -395542087104 14279572541190", "yuk": "1 -20 1572 159928 5250212 -146356020 -19920744984 -703714285784 9387424743588 2004134342245576", "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":"7/1296","im":"-1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"-0.004365","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/1296","im":"1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"0.004365","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","2","2","5/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -144-1536*X-6288*X^2-9504*X^3+432*X^4, 92160+497664*X-1492992*X^2-22394880*X^3-8957952*X^4, -398131200-3439853568*X-10749542400*X^2-15479341056*X^3-14189395968*X^4, -55037657088*(3*X+1)^2*(3*X+2)^2]", "text": "Sporadic Operator.", "degz": 4, "h3": "4", "sol": "1 144 147600 239904000 479672701200 1078954420287744 2618634987667835136 6702283021504364236800 17840666902138413842480400 48944005664385888179529120000", "n_discr_factors": "3", "c3": "-18", "operator": "4 4 0 0 0 0 1 -144 -1536 -6288 -9504 432 92160 497664 -1492992 -22394880 -8957952 -398131200 -3439853568 -10749542400 -15479341056 -14189395968 -220150628352 -1981355655168 -6439405879296 -8916100448256 -4458050224128", "new_number": "4.47", "id": 145, "operator_tex": "\\theta^4+2^{4} 3 x\\left(9\\theta^4-198\\theta^3-131\\theta^2-32\\theta-3\\right)-2^{11} 3^{2} x^{2}\\left(486\\theta^4+1215\\theta^3+81\\theta^2-27\\theta-5\\right)-2^{16} 3^{5} x^{3}\\left(891\\theta^4+972\\theta^3+675\\theta^2+216\\theta+25\\right)-2^{23} 3^{8} x^{4}(3\\theta+1)^2(3\\theta+2)^2", "superseek": "1584 171534960", "discriminant": "4 1 432 -8957952 -14189395968 -4458050224128", "aesz": "239", "n_sing_complex": "0", "inst_int": "", "c2h": "28", "hash": "8e610c3437d7f38e552038bc55399495", "dim_h": "3", "inst": " 1584 -17874 171534960 30012731550 105934107802896 63775249469817750 127749832497630077616 131860871041114114038054 224001851211067044692907648 298697681537718689647638089370", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(432z+1)(3456z-1)(1+1728z)^2", "discr_factors": "-4458050224128, z+1/432, z-1/3456, (1/1728+z)^2", "dm_basis": null, "q": "0 1 -960 456480 -333224960 150643621680 -220108476321792 37434112216317440 -259405759761365729280 -112198587502907767173480", "yuk": "1 1584 -141408 4631445504 1920814677792 13241763475363584 13775453890111936512 43818192546687116623872 67512765973052347202161440 163297349532867875585761120896", "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":"-1/1728","im":"0","approx_re":"-0.000578703703704","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":"1/3456","im":"0","approx_re":"0.000289351851852","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":["1/3","1/3","2/3","2/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16-128*X-400*X^2-544*X^3-80*X^4, 16384+96256*X+184320*X^2+96256*X^3+10240*X^4, 327680+3145728*X+10158080*X^2+12582912*X^3+3342336*X^4, 8388608*(2*X+1)^4]", "text": "Sporadic Operator. There is a second MUM-point hiding at infinity,\ncorresponding to Operator AESZ 295/4.64", "degz": 4, "h3": null, "sol": "1 16 144 -70400 -9858800 -437923584 86893906176 20978388946944 1721357631536400 -139493166549651200", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -16 -128 -400 -544 -80 16384 96256 184320 96256 10240 327680 3145728 10158080 12582912 3342336 8388608 67108864 201326592 268435456 134217728", "new_number": "4.65", "id": 165, "operator_tex": "\\theta^4-2^{4} x\\left(5\\theta^4+34\\theta^3+25\\theta^2+8\\theta+1\\right)+2^{11} x^{2}\\left(5\\theta^4+47\\theta^3+90\\theta^2+47\\theta+8\\right)+2^{16} x^{3}\\left(51\\theta^4+192\\theta^3+155\\theta^2+48\\theta+5\\right)+2^{23} x^{4}\\left((2\\theta+1)^4\\right)", "superseek": "48 -9104", "discriminant": "4 1 -80 10240 3342336 134217728", "aesz": null, "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "5ec2790b5eda514313634b7aeb0a295c", "dim_h": null, "inst": " 48 -1298 -9104 387230 102374160 -102845098 -458716656464 -25010987919066 2318527766431360 305371018298604250", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "(32768z^2-208z+1)(1+64z)^2", "discr_factors": "134217728, (1/64+z)^2, z^2-13/2048*z+1/32768", "dm_basis": null, "q": "0 1 -64 5920 -343040 19349296 -1367195648 82913836544 -3043803922432 240495514046104", "yuk": "1 48 -10336 -245760 24772384 12796770048 -22214797312 -157339813167104 -12805625789789408 1690206741728215680", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","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":"s_1","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"s_2","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4096","im":"-7/4096*7^(1/2)","approx_re":"0.003173828125","approx_im":"-0.004522","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"13/4096","im":"7/4096*7^(1/2)","approx_re":"0.003173828125","approx_im":"0.004522","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","1/2","1/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -3598*X^4-7280*X^3-6090*X^2-2450*X-392, 53988*X^4+222144*X^3+324888*X^2+201348*X+45584, -137608*X^4-919968*X^3-1987728*X^2-1621032*X-443296, -92192*X^4-474688*X^3-770400*X^2-507856*X-118592, -96*(4*X+5)*(3*X+2)*(3*X+4)*(4*X+3)]", "text": "This is operator \"5.10\" from ...", "degz": 5, "h3": "56", "sol": "1 8 144 3680 114400 4007808 151802784 6070154112 252560008800 10831854176000", "n_discr_factors": "4", "c3": "-78", "operator": "4 5 0 0 0 0 49 -392 -2450 -6090 -7280 -3598 45584 201348 324888 222144 53988 -443296 -1621032 -1987728 -919968 -137608 -118592 -507856 -770400 -474688 -92192 -11520 -50496 -80544 -55296 -13824", "new_number": "5.10", "id": 192, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(257\\theta^4+520\\theta^3+435\\theta^2+175\\theta+28\\right)+2^{2} x^{2}\\left(13497\\theta^4+55536\\theta^3+81222\\theta^2+50337\\theta+11396\\right)-2^{3} x^{3}\\left(17201\\theta^4+114996\\theta^3+248466\\theta^2+202629\\theta+55412\\right)-2^{4} x^{4}\\left(5762\\theta^4+29668\\theta^3+48150\\theta^2+31741\\theta+7412\\right)-2^{5} 3 x^{5}(4\\theta+5)(3\\theta+2)(3\\theta+4)(4\\theta+3)", "superseek": "30/7 124", "discriminant": "5 49 -3598 53988 -137608 -92192 -13824", "aesz": "59", "n_sing_complex": "0", "inst_int": "", "c2h": "92", "hash": "f47563daeb0f7328bd675f13cfb84a55", "dim_h": "17", "inst": " 30/7 129/14 124 72129/56 130434/7 2064581/7 36176970/7 1355749161/14 13366726990/7 549282494475/14", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(4z-1)(16z-1)(54z-1)(7+2z)^2", "discr_factors": "-13824, z-1/54, z-1/4, (7/2+z)^2, z-1/16", "dm_basis": null, "q": "0 1 -18 201 -2364 21756 -253410 1628554 -30934248 -60999180", "yuk": "1 30/7 78 23466/7 577578/7 16304280/7 445973478/7 12408700740/7 347072362794/7 9744343999176/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/2","im":"0","approx_re":"-3.5","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":"1/54","im":"0","approx_re":"0.0185185185185","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":"1/4","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","3/4","5/4","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 5*X^2*(-1-2*X+107*X^2), 4800+20800*X+34276*X^2+23768*X^3+8696*X^4, -190080-604260*X-613836*X^2-152928*X^3+11088*X^4, -2115072-7610544*X-10054080*X^2-5688000*X^3-1016640*X^4, -13379904-41383872*X-44831232*X^2-20601216*X^3-4567104*X^4, -19968768-43390080*X-11736576*X^2+24634368*X^3+12358656*X^4, 39191040+151352064*X+204353280*X^2+106002432*X^3+12690432*X^4, -26873856*(X+1)^4]", "text": "This is operator \"8.84\" from ...", "degz": 8, "h3": null, "sol": "1 0 -12 144 324 -21600 182400 2116800 -59931900 239904000", "n_discr_factors": "3", "c3": null, "operator": "4 8 0 0 0 0 25 0 0 -5 -10 535 4800 20800 34276 23768 8696 -190080 -604260 -613836 -152928 11088 -2115072 -7610544 -10054080 -5688000 -1016640 -13379904 -41383872 -44831232 -20601216 -4567104 -19968768 -43390080 -11736576 24634368 12358656 39191040 151352064 204353280 106002432 12690432 -26873856 -107495424 -161243136 -107495424 -26873856", "new_number": "8.84", "id": 534, "operator_tex": "5^{2} \\theta^4+5 x\\theta^2(-1-2\\theta+107\\theta^2)+2^{2} x^{2}\\left(2174\\theta^4+5942\\theta^3+8569\\theta^2+5200\\theta+1200\\right)+2^{2} 3^{2} x^{3}\\left(308\\theta^4-4248\\theta^3-17051\\theta^2-16785\\theta-5280\\right)-2^{4} 3^{2} x^{4}\\left(7060\\theta^4+39500\\theta^3+69820\\theta^2+52851\\theta+14688\\right)-2^{6} 3^{4} x^{5}\\left(881\\theta^4+3974\\theta^3+8648\\theta^2+7983\\theta+2581\\right)+2^{7} 3^{4} x^{6}\\left(1192\\theta^4+2376\\theta^3-1132\\theta^2-4185\\theta-1926\\right)+2^{8} 3^{6} x^{7}\\left(68\\theta^4+568\\theta^3+1095\\theta^2+811\\theta+210\\right)-2^{12} 3^{8} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "1/5 224/5", "discriminant": "8 25 535 8696 11088 -1016640 -4567104 12358656 12690432 -26873856", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "258fab6f0a4f132fe597fc6f30e54eea", "dim_h": null, "inst": " 1/5 -6 224/5 -448/5 -4334/5 162734/15 4944/5 -5368254/5 52756707/5 93552762/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "-(9z-1)(576z^3+368z^2+16z+1)(-5-36z+72z^2)^2", "discr_factors": "-26873856, z-1/9, (-5/72-1/2*z+z^2)^2, z^3+23/36*z^2+1/36*z+1/576", "dm_basis": null, "q": "0 1 0 28 -324 1306 -6192 2566 -308712 9605779", "yuk": "1 1/5 -239/5 6049/5 -28911/5 -541749/5 11722657/5 1695793/5 -2748574959/5 38459645452/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/216*(76276+3348*93^(1/2))^(1/3)-421/54/(76276+3348*93^(1/2))^(1/3)-23/108","im":"0","approx_re":"-0.597246","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4-1/12*19^(1/2)","im":"0","approx_re":"-0.113242","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432*(76276+3348*93^(1/2))^(1/3)+421/108/(76276+3348*93^(1/2))^(1/3)-23/108","im":"1/8*3^(1/2)*(-1/54*(76276+3348*93^(1/2))^(1/3)+842/27/(76276+3348*93^(1/2))^(1/3))","approx_re":"-0.020821","approx_im":"-0.049733","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/432*(76276+3348*93^(1/2))^(1/3)+421/108/(76276+3348*93^(1/2))^(1/3)-23/108","im":"-1/8*3^(1/2)*(-1/54*(76276+3348*93^(1/2))^(1/3)+842/27/(76276+3348*93^(1/2))^(1/3))","approx_re":"-0.020821","approx_im":"0.049733","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":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4+1/12*19^(1/2)","im":"0","approx_re":"0.613242","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": "[49*X^4, 7*X*(165*X^3-102*X^2-65*X-14), -7360*X^4-93808*X^3-122216*X^2-75824*X-18816, -581040*X^4-2815776*X^3-4198608*X^2-2981664*X-829584, -9575424*X^4-41359104*X^3-64968192*X^2-48487680*X-14045184, -85045248*X^4-362741760*X^3-594708480*X^2-455307264*X-133816320, -461168640*X^4-2024497152*X^3-3506872320*X^2-2780946432*X-835411968, -1532805120*X^4-7174324224*X^3-13213974528*X^2-10964533248*X-3404021760, -191102976*(X+1)^2*(15*X^2+48*X+43), -2293235712*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.2\" from ...", "degz": 9, "h3": null, "sol": "1 0 24 144 3240 43200 819600 14112000 269980200 5129712000", "n_discr_factors": "6", "c3": null, "operator": "4 9 0 0 0 0 49 0 -98 -455 -714 1155 -18816 -75824 -122216 -93808 -7360 -829584 -2981664 -4198608 -2815776 -581040 -14045184 -48487680 -64968192 -41359104 -9575424 -133816320 -455307264 -594708480 -362741760 -85045248 -835411968 -2780946432 -3506872320 -2024497152 -461168640 -3404021760 -10964533248 -13213974528 -7174324224 -1532805120 -8217427968 -25607798784 -29429858304 -14906032128 -2866544640 -9172942848 -27518828544 -29812064256 -13759414272 -2293235712", "new_number": "9.2", "id": 541, "operator_tex": "7^{2} \\theta^4+7 x\\theta(165\\theta^3-102\\theta^2-65\\theta-14)-2^{3} x^{2}\\left(920\\theta^4+11726\\theta^3+15277\\theta^2+9478\\theta+2352\\right)-2^{4} 3^{2} x^{3}\\left(4035\\theta^4+19554\\theta^3+29157\\theta^2+20706\\theta+5761\\right)-2^{8} 3^{2} x^{4}\\left(4156\\theta^4+17951\\theta^3+28198\\theta^2+21045\\theta+6096\\right)-2^{11} 3^{3} x^{5}\\left(1538\\theta^4+6560\\theta^3+10755\\theta^2+8234\\theta+2420\\right)-2^{13} 3^{4} x^{6}\\left(695\\theta^4+3051\\theta^3+5285\\theta^2+4191\\theta+1259\\right)-2^{14} 3^{5} x^{7}\\left(385\\theta^4+1802\\theta^3+3319\\theta^2+2754\\theta+855\\right)-2^{18} 3^{6} x^{8}(\\theta+1)^2(15\\theta^2+48\\theta+43)-2^{20} 3^{7} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "9/7 49/3", "discriminant": "9 49 1155 -7360 -581040 -9575424 -85045248 -461168640 -1532805120 -2866544640 -2293235712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "356d4564e48d7a04e815fa223b6ccc46", "dim_h": null, "inst": " 9/7 47/7 49/3 1370/7 10063/7 304210/21 1079550/7 12454396/7 148504324/7 1876369987/7", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "8", "laurent": null, "discriminant_tex": "-(8z+1)(24z-1)(3z+1)(4z+1)(12z+1)(7+72z+288z^2)^2", "discr_factors": "-2293235712, z-1/24, z+1/4, (7/288+1/4*z+z^2)^2, z+1/12, z+1/3, z+1/8", "dm_basis": null, "q": "0 1 -2 -43 -8 346 -5194 -66778 -677888 -9329903", "yuk": "1 9/7 55 3096/7 88065/7 1257884/7 21906592/7 370285659/7 6376738817/7 108259655292/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"-1/24*5^(1/2)","approx_re":"-0.125","approx_im":"-0.093169","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":"-1/8","im":"1/24*5^(1/2)","approx_re":"-0.125","approx_im":"0.093169","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16*(4*X+1)^2*(4*X+3)^2]", "text": "A-incarnation: X(4,4) in P^5(1,1,1,1,2,2)", "degz": 1, "h3": "4", "sol": "1 144 176400 341510400 811620810000 2167695039654144 6243202569208340736 18955829541661309440000 59844220278907077932490000 194686629373739404697796000000", "n_discr_factors": null, "c3": "-144", "operator": "4 1 0 0 0 0 1 -144 -1536 -5632 -8192 -4096", "new_number": "1.10", "id": 550, "operator_tex": "\\theta^4-2^{4} x(4\\theta+1)^2(4\\theta+3)^2", "superseek": "928 170869536", "discriminant": null, "aesz": "10", "n_sing_complex": null, "inst_int": null, "c2h": "40", "hash": "51f8135aba94201bd0bbe9b2287a92d5", "dim_h": "4", "inst": " 928 245616 170869536 174999877936 221984814405088 322488630778883760 514506002990767360672 879128852394829927420720 1582934400557814144743504640 2970390071697000630704094306000", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": null, "discr_factors": null, "dm_basis": null, "q": "0 1 -960 213600 -160471040 -136981068240 -248123397445632 -445533681536171520 -850742163409138483200 -1692715844493003550786920", "yuk": "1 928 1965856 4613478400 11199994153760 27748101800636928 69657544252854335488 176475559025833204711424 450113972426164122833562400 1153959178006646511522628360960", "gv2": null, "gv0": null, "gv1": null}]}