{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -254*X^4-508*X^3-391*X^2-137*X-18, 4657*X^4+18628*X^3+27265*X^2+17274*X+3672, -35040*X^4-210240*X^3-441996*X^2-379908*X-98820, 132192*X^4+1057536*X^3+2882952*X^2+3071520*X+907200, -3888*(16*X^2+80*X+35)*(2*X+5)^2, 11664*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.10\" from ...", "degz": 6, "h3": null, "sol": "1 18 1242 138420 18954810 2912817348 482187783924 84090566318616 15241308549448410 2845719850252567860", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -137 -391 -508 -254 3672 17274 27265 18628 4657 -98820 -379908 -441996 -210240 -35040 907200 3071520 2882952 1057536 132192 -3402000 -10497600 -8320320 -2488320 -248832 4490640 12877056 8864640 2239488 186624", "new_number": "6.10", "id": 393, "operator_tex": "\\theta^4-x\\left(254\\theta^4+508\\theta^3+391\\theta^2+137\\theta+18\\right)+x^{2}\\left(4657\\theta^4+18628\\theta^3+27265\\theta^2+17274\\theta+3672\\right)-2^{2} 3 x^{3}\\left(2920\\theta^4+17520\\theta^3+36833\\theta^2+31659\\theta+8235\\right)+2^{3} 3^{4} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{4} 3^{5} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{4} 3^{6} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "23 16723", "discriminant": "6 1 -254 4657 -35040 132192 -248832 186624", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "23025d094839fb9d8e76076bd9a0bfa7", "dim_h": null, "inst": " 23 462 16723 923487 61874817 4758408877 401098941798 36204461778171 10327916473641656/3 341129215790017190", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(3z-1)(3888z^3-1944z^2+243z-1)(4z-1)^2", "discr_factors": "186624, (z-1/4)^2, z-1/3, z^3-1/2*z^2+1/16*z-1/3888", "dm_basis": null, "q": "0 1 -65 1866 -78319 1282394 -163657590 -5524246967 -926696603057 -84091401336996", "yuk": "1 23 3719 451544 59106887 7734352148 1027816772672 137576937036737 18536684489530439 2509683703095373952", "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":"-1/72*(-21+12*I*2^(1/2))^(1/3)-1/8/(-21+12*I*2^(1/2))^(1/3)+1/6+1/6*I*3^(1/2)*(1/12*(-21+12*I*2^(1/2))^(1/3)-3/4/(-21+12*I*2^(1/2))^(1/3))","im":"0","approx_re":"0.004259","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(-21+12*I*2^(1/2))^(1/3)-1/8/(-21+12*I*2^(1/2))^(1/3)+1/6-1/6*I*3^(1/2)*(1/12*(-21+12*I*2^(1/2))^(1/3)-3/4/(-21+12*I*2^(1/2))^(1/3))","im":"0","approx_re":"0.215449","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*(-21+12*I*2^(1/2))^(1/3)+1/4/(-21+12*I*2^(1/2))^(1/3)+1/6","im":"0","approx_re":"0.280292","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(5*X^2+5*X+2)*(13*X^2+13*X+3), 17056*X^4+68224*X^3+100384*X^2+64320*X+13824, -500736*X^4-3004416*X^3-6319872*X^2-5439744*X-1416960, 7520256*X^4+60162048*X^3+164007936*X^2+174735360*X+51609600, -884736*(16*X^2+80*X+35)*(2*X+5)^2, 10616832*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.14\" from ...", "degz": 6, "h3": null, "sol": "1 24 1224 96000 9633960 1108344384 138551567616 18316669003776 2521698279071400 358052604022576320", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -24 -164 -424 -520 -260 13824 64320 100384 68224 17056 -1416960 -5439744 -6319872 -3004416 -500736 51609600 174735360 164007936 60162048 7520256 -774144000 -2388787200 -1893335040 -566231040 -56623104 4087480320 11720982528 8068792320 2038431744 169869312", "new_number": "6.14", "id": 397, "operator_tex": "\\theta^4-2^{2} x(5\\theta^2+5\\theta+2)(13\\theta^2+13\\theta+3)+2^{5} x^{2}\\left(533\\theta^4+2132\\theta^3+3137\\theta^2+2010\\theta+432\\right)-2^{8} 3 x^{3}\\left(652\\theta^4+3912\\theta^3+8229\\theta^2+7083\\theta+1845\\right)+2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{15} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{17} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 9928/3", "discriminant": "6 1 -260 17056 -500736 7520256 -56623104 169869312", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "44968de144621e2fa74ce3964a5435f7", "dim_h": null, "inst": " 8 471/2 9928/3 185385 6071232 2300082631/6 18155591704 2414821451639/2 208365112207712/3 4798279940094860", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "6", "laurent": null, "discriminant_tex": "(12z-1)(24z-1)(2304z^2-192z+1)(-1+16z)^2", "discr_factors": "169869312, (-1/16+z)^2, z-1/24, z^2-1/12*z+1/2304, z-1/12", "dm_basis": null, "q": "0 1 -68 3702 -227248 13651901 -867353208 53803343898 -3491324552128 219804608348118", "yuk": "1 8 1892 89360 11866532 758904008 82803065960 6227367954480 618194303486116 50632722266563376", "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":"1/24-1/48*3^(1/2)","im":"0","approx_re":"0.005582","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","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":"1/24+1/48*3^(1/2)","im":"0","approx_re":"0.077751","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 24+148*X+344*X^2+392*X^3+196*X^4, 16128+73536*X+112672*X^2+75904*X^3+18976*X^4, 2903040+11114496*X+12883968*X^2+6119424*X^3+1019904*X^4, 206438400+698941440*X+656031744*X^2+240648192*X^3+30081024*X^4, 7077888*(16*X^2+80*X+35)*(2*X+5)^2, 169869312*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.39\" from ...", "degz": 6, "h3": null, "sol": "1 -24 648 -11520 -123480 18518976 -428085504 -33637773312 3723542994600 -153199327469760", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 24 148 344 392 196 16128 73536 112672 75904 18976 2903040 11114496 12883968 6119424 1019904 206438400 698941440 656031744 240648192 30081024 6193152000 19110297600 15146680320 4529848320 452984832 65399685120 187535720448 129100677120 32614907904 2717908992", "new_number": "6.39", "id": 417, "operator_tex": "\\theta^4+2^{2} x\\left(49\\theta^4+98\\theta^3+86\\theta^2+37\\theta+6\\right)+2^{5} x^{2}\\left(593\\theta^4+2372\\theta^3+3521\\theta^2+2298\\theta+504\\right)+2^{10} 3 x^{3}\\left(332\\theta^4+1992\\theta^3+4194\\theta^2+3618\\theta+945\\right)+2^{14} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{18} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{21} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "8 3784/3", "discriminant": "6 1 196 18976 1019904 30081024 452984832 2717908992", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6429f42cbe18bee944ac13edab1fbbcc", "dim_h": null, "inst": " 8 39/2 3784/3 51036 1659840 366636055/6 2809215000 282209084769/2 7219805436704 381151634610380", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(24z+1)(110592z^3+6912z^2+108z+1)(1+32z)^2", "discr_factors": "2717908992, z+1/24, (1/32+z)^2, z^3+1/16*z^2+1/1024*z+1/110592", "dm_basis": null, "q": "0 1 52 3414 230768 15921533 1119191448 79735039930 5734644233920 415434644622486", "yuk": "1 8 164 34064 3266468 207480008 13198932200 963560745008 72245528967332 5263238163391280", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(3+2*2^(1/2))^(1/3)-1/96/(3+2*2^(1/2))^(1/3)-1/48","im":"0","approx_re":"-0.045368","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"-0.011222","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(3+2*2^(1/2))^(1/3)+1/192/(3+2*2^(1/2))^(1/3)-1/48","im":"-1/24*3^(1/2)*(-1/8*(3+2*2^(1/2))^(1/3)+1/8/(3+2*2^(1/2))^(1/3))","approx_re":"-0.008566","approx_im":"0.011222","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-64*X-125*X^2-122*X^3-61*X^4, -576-4176*X-8264*X^2-6176*X^3-1544*X^4, 622080+2414592*X+2823168*X^2+1345536*X^3+224256*X^4, -51609600-174735360*X-164007936*X^2-60162048*X^3-7520256*X^4, 1769472*(16*X^2+80*X+35)*(2*X+5)^2, -42467328*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.5\" from ...", "degz": 6, "h3": null, "sol": "1 12 324 5760 215460 2549232 200116224 -782825472 277853698980 -7114516952400", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -64 -125 -122 -61 -576 -4176 -8264 -6176 -1544 622080 2414592 2823168 1345536 224256 -51609600 -174735360 -164007936 -60162048 -7520256 1548288000 4777574400 3786670080 1132462080 113246208 -16349921280 -46883930112 -32275169280 -8153726976 -679477248", "new_number": "6.5", "id": 427, "operator_tex": "\\theta^4-x\\left(12+64\\theta+125\\theta^2+122\\theta^3+61\\theta^4\\right)-2^{3} x^{2}\\left(193\\theta^4+772\\theta^3+1033\\theta^2+522\\theta+72\\right)+2^{9} 3 x^{3}\\left(146\\theta^4+876\\theta^3+1838\\theta^2+1572\\theta+405\\right)-2^{12} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)+2^{16} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{19} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-11 -3422/3", "discriminant": "6 1 -61 -1544 224256 -7520256 113246208 -679477248", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "6a4aeb5833b7673c962d5598842d3f2c", "dim_h": null, "inst": " -11 68 -3422/3 30735 -1014993 37434552 -1486568559 62556815721 -8291619038429/3 127231570499928", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(24z-1)(27648z^3-1728z^2+27z+1)(-1+32z)^2", "discr_factors": "-679477248, z-1/24, (-1/32+z)^2, z^3-1/16*z^2+1/1024*z+1/27648", "dm_basis": null, "q": "0 1 -16 -114 20776 -936859 27143952 -486221306 1441150448 149478220674", "yuk": "1 -11 533 -30809 1967573 -126874136 8085832967 -509893015748 32029091616725 -2014863426369056", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(17+12*2^(1/2))^(1/3)-1/96/(17+12*2^(1/2))^(1/3)+1/48","im":"0","approx_re":"-0.016119","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"-0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(17+12*2^(1/2))^(1/3)+1/192/(17+12*2^(1/2))^(1/3)+1/48","im":"-1/6*3^(1/2)*(-1/32*(17+12*2^(1/2))^(1/3)+1/32/(17+12*2^(1/2))^(1/3))","approx_re":"0.03931","approx_im":"0.026431","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-100*X-305*X^2-410*X^3-205*X^4, -3168-14976*X-23744*X^2-16256*X^3-4064*X^4, -87480-336492*X-391668*X^2-186336*X^3-31056*X^4, -806400-2730240*X-2562624*X^2-940032*X^3-117504*X^4, -3456*(16*X^2+80*X+35)*(2*X+5)^2, -10368*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.6\" from ...", "degz": 6, "h3": null, "sol": "1 12 972 106200 14027580 2067427152 327459248424 54573068762784 9445628232122940 1683369975662266320", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -12 -100 -305 -410 -205 -3168 -14976 -23744 -16256 -4064 -87480 -336492 -391668 -186336 -31056 -806400 -2730240 -2562624 -940032 -117504 -3024000 -9331200 -7395840 -2211840 -221184 -3991680 -11446272 -7879680 -1990656 -165888", "new_number": "6.6", "id": 428, "operator_tex": "\\theta^4-x\\left(12+100\\theta+305\\theta^2+410\\theta^3+205\\theta^4\\right)-2^{5} x^{2}\\left(127\\theta^4+508\\theta^3+742\\theta^2+468\\theta+99\\right)-2^{2} 3 x^{3}\\left(2588\\theta^4+15528\\theta^3+32639\\theta^2+28041\\theta+7290\\right)-2^{6} 3^{2} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{7} 3^{3} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2-2^{7} 3^{4} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "25 17452", "discriminant": "6 1 -205 -4064 -31056 -117504 -221184 -165888", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e97e9b0e87960fe4cffbb22a5e935b4a", "dim_h": null, "inst": " 25 446 17452 958347 65098152 5055483196 430715448330 39283093415433 11323641414587648/3 377927448242942418", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(3z+1)(3456z^3+1728z^2+216z-1)(4z+1)^2", "discr_factors": "-165888, (z+1/4)^2, z^3+1/2*z^2+1/16*z-1/3456, z+1/3", "dm_basis": null, "q": "0 1 -52 264 -860 -1537708 -103113984 -9739921118 -1015028462344 -107590224786822", "yuk": "1 25 3593 471229 61337801 8137269025 1091984845133 147735398777215 20112943890039497 2751644863745269693", "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":"-1/24*2^(1/3)-1/48*2^(2/3)-1/6","im":"-1/24*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.252234","approx_im":"-0.033647","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24*2^(1/3)-1/48*2^(2/3)-1/6","im":"1/24*3^(1/2)*(2^(1/3)-1/2*2^(2/3))","approx_re":"-0.252234","approx_im":"0.033647","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12*2^(1/3)+1/24*2^(2/3)-1/6","im":"0","approx_re":"0.004468","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -126*X^4-252*X^3-231*X^2-105*X-18, 7857*X^4+31428*X^3+47169*X^2+31482*X+7128, -349920*X^4-2099520*X^3-4425516*X^2-3828708*X-1006020, 10707552*X^4+85660416*X^3+233519112*X^2+248793120*X+73483200, -2834352*(16*X^2+80*X+35)*(2*X+5)^2, 76527504*(2*X+11)*(2*X+7)*(2*X+5)*(2*X+1)]", "text": "This is operator \"6.7\" from ...", "degz": 6, "h3": null, "sol": "1 18 378 8820 266490 8688708 247642164 6595916184 212629478490 7830581178420", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -18 -105 -231 -252 -126 7128 31482 47169 31428 7857 -1006020 -3828708 -4425516 -2099520 -349920 73483200 248793120 233519112 85660416 10707552 -2480058000 -7652750400 -6065513280 -1813985280 -181398528 29463089040 84486364416 58160903040 14693280768 1224440064", "new_number": "6.7", "id": 429, "operator_tex": "\\theta^4-3 x\\left(42\\theta^4+84\\theta^3+77\\theta^2+35\\theta+6\\right)+3^{3} x^{2}\\left(291\\theta^4+1164\\theta^3+1747\\theta^2+1166\\theta+264\\right)-2^{2} 3^{5} x^{3}\\left(360\\theta^4+2160\\theta^3+4553\\theta^2+3939\\theta+1035\\right)+2^{3} 3^{8} x^{4}\\left(204\\theta^4+1632\\theta^3+4449\\theta^2+4740\\theta+1400\\right)-2^{4} 3^{11} x^{5}(16\\theta^2+80\\theta+35)(2\\theta+5)^2+2^{4} 3^{14} x^{6}(2\\theta+11)(2\\theta+7)(2\\theta+5)(2\\theta+1)", "superseek": "-9 217/3", "discriminant": "6 1 -126 7857 -349920 10707552 -181398528 1224440064", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9492f991c909a6774f5546668ff53b6a", "dim_h": null, "inst": " -9 18 217/3 -9 -146079 24412075/3 -308382426 9737440047 -856982681864/3 8889098301450", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "(27z-1)(34992z^3-1944z^2+27z-1)(-1+36z)^2", "discr_factors": "1224440064, z-1/27, (-1/36+z)^2, z^3-1/18*z^2+1/1296*z-1/34992", "dm_basis": null, "q": "0 1 -33 1386 -66479 3301242 -165260790 8325015305 -422661117873 21630151957212", "yuk": "1 -9 135 1944 -441 -18259884 1757671488 -105775172127 4985569303623 -208246791691008", "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":"-1/216*(17+12*2^(1/2))^(1/3)-1/216/(17+12*2^(1/2))^(1/3)+1/54","im":"-1/18*3^(1/2)*(1/12*(17+12*2^(1/2))^(1/3)-1/12/(17+12*2^(1/2))^(1/3))","approx_re":"0.002095","approx_im":"-0.023494","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/216*(17+12*2^(1/2))^(1/3)-1/216/(17+12*2^(1/2))^(1/3)+1/54","im":"1/18*3^(1/2)*(1/12*(17+12*2^(1/2))^(1/3)-1/12/(17+12*2^(1/2))^(1/3))","approx_re":"0.002095","approx_im":"0.023494","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36","im":"0","approx_re":"0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/27","im":"0","approx_re":"0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/108*(17+12*2^(1/2))^(1/3)+1/108/(17+12*2^(1/2))^(1/3)+1/54","im":"0","approx_re":"0.051365","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","5/2","7/2","11/2"],"monodromy":[],"monodromy_dm":[]}]}]}