{"count": 5, "status":"OK", "data":[{"pols": "[X^4, -4752*X^4-7776*X^3-5940*X^2-2052*X-252, 11664*(4*X+3)*(160*X^3+408*X^2+316*X+57), -15116544*(4*X+1)*(4*X+3)*(4*X+7)*(4*X+9)]", "text": "Operator equivalent to AESZ 154", "degz": 3, "h3": null, "sol": "1 252 202500 212132880 251548748100 320944035093552 430001761612039344 596772323428349016000 850636127958152365311300 1238213251954539561165894000", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 -252 -2052 -5940 -7776 -4752 1994544 13716864 29020032 24634368 7464960 -2857026816 -18139852800 -31442411520 -19349176320 -3869835264", "new_number": "3.12", "id": 72, "operator_tex": "\\theta^4-2^{2} 3^{2} x\\left(132\\theta^4+216\\theta^3+165\\theta^2+57\\theta+7\\right)+2^{4} 3^{6} x^{2}(4\\theta+3)(160\\theta^3+408\\theta^2+316\\theta+57)-2^{8} 3^{10} x^{3}(4\\theta+1)(4\\theta+3)(4\\theta+7)(4\\theta+9)", "superseek": "252 1162036", "discriminant": "3 1 -4752 7464960 -3869835264", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "baa148eb1a5a05a0d9aca4c78be26905", "dim_h": null, "inst": " 252 -19512 1162036 -91851948 24209298720 -4630360461992 413368843762548 -54683559515703996 25041203057887597504 -4920321334498545280320", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(1296z-1)(-1+1728z)^2", "discr_factors": "-3869835264, z-1/1296, (-1/1728+z)^2", "dm_basis": ["12*I*lambda+1", "0+7/4*I", "-1", "1", "-1/4*I", "-9/2*I", "1", "0", "0", "0+9*I", "0", "0", "-9*I", "0", "0", "0"], "q": "0 1 -1044 918702 -745623312 575679385845 -429959205586008 313619267782689426 -224735409065895393600 158833925060990273779842", "yuk": "1 252 -155844 31375224 -5878680516 3026162340252 -1000157828571144 141785513410554216 -27997982477919126468 18255037029200089955640", "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":"1/1728","im":"0","approx_re":"0.000578703703704","approx_im":"0.0","exponents":["0","1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1296","im":"0","approx_re":"0.000771604938272","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":["1/4","3/4","7/4","9/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -2752*X^4-4928*X^3-3608*X^2-1144*X-132, 144*(4*X+3)*(3776*X^3+10096*X^2+8268*X+1515), -2073600*(4*X+1)*(4*X+3)*(4*X+7)*(4*X+9)]", "text": "Operator equivalent to AESZ 229", "degz": 3, "h3": "6", "sol": "1 132 62748 43686384 37830871260 37683925559280 41191522867207440 47982923045768093760 58486865023796076988380 73734263514698203059442800", "n_discr_factors": "2", "c3": "-56", "operator": "4 3 0 0 0 0 1 -132 -1144 -3608 -4928 -2752 654480 4444416 9123840 7446528 2174976 -391910400 -2488320000 -4313088000 -2654208000 -530841600", "new_number": "3.13", "id": 73, "operator_tex": "\\theta^4-2^{2} x\\left(688\\theta^4+1232\\theta^3+902\\theta^2+286\\theta+33\\right)+2^{4} 3^{2} x^{2}(4\\theta+3)(3776\\theta^3+10096\\theta^2+8268\\theta+1515)-2^{10} 3^{4} 5^{2} x^{3}(4\\theta+1)(4\\theta+3)(4\\theta+7)(4\\theta+9)", "superseek": "352 15001120/3", "discriminant": "3 1 -2752 2174976 -530841600", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "36", "hash": "b5a6f76d274395537de2c3169fdac9bf", "dim_h": "4", "inst": " 352 18676 15001120/3 1489325052 586526654304 260434681338932 127392396596397408 66690501977249294972 110384391853499640630304/3 21156326782570025111421748", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(1600z-1)(-1+576z)^2", "discr_factors": "-530841600, (-1/576+z)^2, z-1/1600", "dm_basis": ["-56*lambda", "5/2", "1", "1", "-3/2", "-3", "-1", "0", "0", "6", "0", "0", "-6", "0", "0", "0"], "q": "0 1 -616 288300 -133696960 56027836110 -23998676441568 9384113509972152 -3959114636186356224 1432881233200427758821", "yuk": "1 352 149760 135010432 95316953088 73315831788352 56253891304369152 43695592032564311296 34145537012446955978752 26823407220400412808174304", "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":"1/1600","im":"0","approx_re":"0.000625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/576","im":"0","approx_re":"0.00173611111111","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":["1/4","3/4","7/4","9/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -1808*X^4-3680*X^3-2532*X^2-692*X-68, -16*(4*X+3)*(3808*X^3+10504*X^2+8884*X+1635), -30976*(4*X+1)*(4*X+3)*(4*X+7)*(4*X+9)]", "text": "This is operator Pi = 3.14 (approx.), equivalent to AESZ 238.", "degz": 3, "h3": "5", "sol": "1 68 42220 38866320 43812369900 55414549043568 75528977653335024 108483998232210868800 161980690467592131864300 249190451217633428740094000", "n_discr_factors": "2", "c3": "-100", "operator": "4 3 0 0 0 0 1 -68 -692 -2532 -3680 -1808 -78480 -531072 -1072768 -855040 -243712 -5854464 -37171200 -64430080 -39649280 -7929856", "new_number": "3.14", "id": 74, "operator_tex": "\\theta^4-2^{2} x\\left(452\\theta^4+920\\theta^3+633\\theta^2+173\\theta+17\\right)-2^{4} x^{2}(4\\theta+3)(3808\\theta^3+10504\\theta^2+8884\\theta+1635)-2^{8} 11^{2} x^{3}(4\\theta+1)(4\\theta+3)(4\\theta+7)(4\\theta+9)", "superseek": "444 19050964", "discriminant": "3 1 -1808 -243712 -7929856", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": "38", "hash": "dc96aa2da269d989ee90c49dab6a9c5a", "dim_h": "4", "inst": " 444 57104 19050964 9432910668 5781274591408 4058389108418096 3128917495561043956 2583677026445362637052 2248245582621571943692888 2038917173314965930447657536", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(1936z-1)(1+64z)^2", "discr_factors": "-7929856, (1/64+z)^2, z-1/1936", "dm_basis": ["-100*lambda", "29/12", "1", "1", "-19/12", "-5/2", "-1", "0", "0", "5", "0", "0", "-5", "0", "0", "0"], "q": "0 1 -420 11814 -8013968 -9634342911 -6823847203608 -6014006082869582 -5551278928382532672 -5331789302913401246700", "yuk": "1 444 457276 514376472 603706740028 722659323926444 876612047933142040 1073218700977438077352 1322842637540629376910652 1638971029731125947466491824", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","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":"1/1936","im":"0","approx_re":"0.00051652892562","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":["1/4","3/4","7/4","9/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -13840*X^4-23072*X^3-17540*X^2-6004*X-744, 9216*(4*X+3)*(1732*X^3+4475*X^2+3531*X+645), -383533056*(4*X+1)*(4*X+3)*(4*X+7)*(4*X+9)]", "text": "This is operator \"3.21\" from ...", "degz": 3, "h3": "12", "sol": "1 744 1731240 5192436480 17479541356200 62877279372836544 236149304275868772096 914205285330005286604800 3619629292068932238660306600 14581977636437185166407440456000", "n_discr_factors": "2", "c3": "304", "operator": "4 3 0 0 0 0 1 -744 -6004 -17540 -23072 -13840 17832960 121402368 253891584 212852736 63848448 -72487747584 -460239667200 -797748756480 -490922311680 -98184462336", "new_number": "3.21", "id": 84, "operator_tex": "\\theta^4-2^{2} x\\left(3460\\theta^4+5768\\theta^3+4385\\theta^2+1501\\theta+186\\right)+2^{10} 3^{2} x^{2}(4\\theta+3)(1732\\theta^3+4475\\theta^2+3531\\theta+645)-2^{14} 3^{4} 17^{2} x^{3}(4\\theta+1)(4\\theta+3)(4\\theta+7)(4\\theta+9)", "superseek": "964 85888580/3", "discriminant": "3 1 -13840 63848448 -98184462336", "aesz": "391", "n_sing_complex": "0", "inst_int": "", "c2h": "24", "hash": "907f1fbd0b6f7c89689fb136ee18482a", "dim_h": "4", "inst": " 964 -111140 85888580/3 -9197858184 3544241969952 -1482429836810060 669439235043160428 -316380104334379890616 467260149286033920341264/3 -78935289037962694175130272", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(4624z-1)(-1+4608z)^2", "discr_factors": "-98184462336, (-1/4608+z)^2, z-1/4624", "dm_basis": null, "q": "0 1 -3028 7770846 -18332138896 41122301488941 -89207047616754840 188952479870365464594 -393131883281872291307328 806652364184876012063782662", "yuk": "1 964 -888156 772998184 -588663811932 443030246244964 -320204843978863896 229617657619804027768 -161986613419791167807324 113544216276506243415925336", "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":"1/4624","im":"0","approx_re":"0.000216262975779","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/4608","im":"0","approx_re":"0.000217013888889","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":["1/4","3/4","7/4","9/4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 240*X^4-32*X^3+124*X^2+140*X+24, -1024*(4*X+3)*(132*X^3+395*X^2+363*X+69), -802816*(4*X+1)*(4*X+3)*(4*X+7)*(4*X+9)]", "text": "Operator AESZ 33 is replaced by this equivalent operator.", "degz": 3, "h3": "6", "sol": "1 -24 13992 -920832 1808021160 87171860160 387667754960640 86477726324183040 112077004497429038760 44221649198354799124800", "n_discr_factors": "2", "c3": "-72", "operator": "4 3 0 0 0 0 1 24 140 124 -32 240 -211968 -1397760 -2700288 -2023424 -540672 -151732224 -963379200 -1669857280 -1027604480 -205520896", "new_number": "3.6", "id": 101, "operator_tex": "\\theta^4+2^{2} x\\left(60\\theta^4-8\\theta^3+31\\theta^2+35\\theta+6\\right)-2^{10} x^{2}(4\\theta+3)(132\\theta^3+395\\theta^2+363\\theta+69)-2^{14} 7^{2} x^{3}(4\\theta+1)(4\\theta+3)(4\\theta+7)(4\\theta+9)", "superseek": "196 2993772", "discriminant": "3 1 240 -540672 -205520896", "aesz": "~33", "n_sing_complex": "0", "inst_int": "", "c2h": "36", "hash": "29aeacb8c7e91c8c2838e65ce2750b5a", "dim_h": "4", "inst": " 196 17212 2993772 789858520 260782261024 98690449514452 41025582428172396 18268297351138829992 8573113961387638222256 4193246127394751256758368", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(784z-1)(1+512z)^2", "discr_factors": "-205520896, (1/512+z)^2, z-1/784", "dm_basis": null, "q": "0 1 44 -58658 -12875152 -850960595 -247297178776 -258815479238638 -146967407776333632 -73089849806203869434", "yuk": "1 196 137892 80832040 50551083172 32597782628196 21317137176091368 14071774772863132024 9353368243833632039076 6249800077851588344856664", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/512","im":"0","approx_re":"-0.001953125","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":"1/784","im":"0","approx_re":"0.00127551020408","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":["1/4","3/4","7/4","9/4"],"monodromy":[],"monodromy_dm":[]}]}]}