{"count": 7, "status":"OK", "data":[{"pols": "[X^4, -4*(2*X+1)^2*(17*X^2+17*X+6), 1152*(2*X+1)^2*(2*X+3)^2]", "text": "Hadamard product $A \\ast g$.", "degz": 2, "h3": "48", "sol": "1 24 1512 124800 11730600 1191081024 127328737536 14125302816768 1611627491845800 187994423786769600", "n_discr_factors": "2", "c3": "-16", "operator": "4 2 0 0 0 0 1 -24 -164 -436 -544 -272 10368 55296 101376 73728 18432", "new_number": "2.24", "id": 16, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(17\\theta^2+17\\theta+6)+2^{7} 3^{2} x^{2}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "20 1684/3", "discriminant": "2 1 -272 18432", "aesz": "137", "n_sing_complex": "0", "inst_int": "", "c2h": "96", "hash": "198d6c822d6c46225ac2553d60df6539", "dim_h": "16", "inst": " 20 2 1684/3 7602 173472 16800962/3 170592988 5706758282 581797416016/3 6746210337168", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}^2\\sum_{j,k}^{n}(-1)^{j}8^{n-j}\\dbinom{n}{j}\\dbinom{j}{k}^3", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(144z-1)(128z-1)", "discr_factors": "18432, z-1/128, z-1/144", "dm_basis": ["-16*lambda", "12", "1", "1", "-4", "-24", "-1", "0", "0", "48", "0", "0", "-48", "0", "0", "0"], "q": "0 1 -68 3294 -132944 4754733 -156431544 4806781970 -140479337024 3915889529094", "yuk": "1 20 36 15176 486564 21684020 1209684456 58513394904 2921860726948 141376772107064", "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","48","1","0","0","0","1","1"]},{"re":"1/144","im":"0","approx_re":"0.00694444444444","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+16*lambda","0","4/3*lambda",".125248e-3","4","1","1/3","-4/3*lambda","0","0","1","0","48","0","4","1-16*lambda"],"monodromy_dm":["1","-16","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[".924152876+.943952044*I",".188111204+1.275393351*I",".593885779-.164736576*I","-.98788356e-1-.111719004*I",".205812544+3.214663066*I","2.256285526+4.201440782*I","1.918711704-.844672672*I","-.387126151-.327818207*I","-.81202836e-1+5.639775328*I","1.617313859+7.506248400*I","4.465075410-1.211574339*I","-.630856884-.62528948587308939323761000463177396943029180176007410838351088466882816118573413617415470125057897174617878647522000926354793886058360352014821676702176933765632237146827234830940250115794349235757295*I","2.469750531+38.575956789*I","15.075426310+50.417289384*I","23.024540442-10.136072063*I","-3.645513812-3.933818487*I"],"monodromy_dm":["-1225771/500000+67903/250000*I","-3220853/200000+3212591/125000*I","131309/500000+123347/500000*I","-51453/1000000-401833/500000*I","505191/1000000-1/10000*I","1818059/500000-710951/200000*I","-17693/500000-7777/200000*I","-423/250000+23499/200000*I","-12124581/1000000+2401/1000000*I","-63266827/1000000+85314113/1000000*I","924629/500000+933237/1000000*I","40601/1000000-176243/62500*I","5051909/500000-2001/1000000*I","10544471/200000-35547547/500000*I","-141543/200000-777697/1000000*I","193233/200000+1174953/500000*I"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(2*X+1)^2*(5*X^2+5*X+2), 256*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "Hadamard product $I \\ast \\alpha$\nA-Incarnation: diagonal subfamily of 1,1,1,1-intersection in $P^1 \\times P^1 \\times P^1 \\times \\P^1$\nB-Incarnations:\nFibre products: 62211- x 632--1, S62211\n", "degz": 2, "h3": "48", "sol": "1 8 168 5120 190120 7939008 357713664 16993726464 839358285480 42714450658880", "n_discr_factors": "2", "c3": "-128", "operator": "4 2 0 0 0 0 1 -8 -52 -132 -160 -80 768 3584 5888 4096 1024", "new_number": "2.52", "id": 47, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(5\\theta^2+5\\theta+2)+2^{8} x^{2}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "4 644/3", "discriminant": "2 1 -80 1024", "aesz": "16", "n_sing_complex": "0", "inst_int": "", "c2h": "96", "hash": "05af0662662bfbec63e3186c4f363313", "dim_h": "16", "inst": " 4 20 644/3 3072 52512 1027868 22083628 507552272 36850292240/3 309706589472", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "(64z-1)(16z-1)", "discr_factors": "1024, z-1/64, z-1/16", "dm_basis": ["-310145437/500000000*I", "12", "1", "1", "-4", "-24", "-1", "0", "0", "48", "0", "0", "-48", "0", "0", "0"], "q": "0 1 -20 222 -2704 21293 -307224 80402 -67101504 -1187407098", "yuk": "1 4 164 5800 196772 6564004 222025448 7574684408 259866960036 8954621020120", "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","48","1","0","0","0","1","1"]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1.+.620290874*I","0","32/3*lambda",".8015849e-2","4","1","1/3","-32/3*lambda","0","0","1","0","48","0","4","1.-.620290874*I"],"monodromy_dm":["1","-16","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["5+512*lambda","-1.-.620290874*I","1/3+128/3*lambda","-1/7*7^(5/8)*exp(-9/4)*Zeta(5)^(1/4)-64/3*lambda","16","-3","4/3","-1/3-128/3*lambda","48","-12","5","-1.-.620290874*I","192","-48","16","-3-512*lambda"],"monodromy_dm":["-7","-88","-5","-4","2","23","5/4","1","-48","-528","-29","-24","32","352","20","17"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(2*X+1)^2*(11*X^2+11*X+3), -16*(2*X+1)^2*(2*X+3)^2]", "text": "Hadamard product $A\\ast b$\n\nA-incarnation: X(1,2,2) in G(2,5)", "degz": 2, "h3": "20", "sol": "1 12 684 58800 6129900 714610512 89611475184 11829354533568 1622229744177900 229106666659213200", "n_discr_factors": "1", "c3": "-120", "operator": "4 2 0 0 0 0 1 -12 -92 -268 -352 -176 -144 -768 -1408 -1024 -256", "new_number": "2.5", "id": 55, "operator_tex": "\\theta^4-2^{2} x(2\\theta+1)^2(11\\theta^2+11\\theta+3)-2^{4} x^{2}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "20 8220", "discriminant": "2 1 -176 -256", "aesz": "25", "n_sing_complex": "0", "inst_int": "", "c2h": "68", "hash": "93279abcbeeade30c29508de7784e582", "dim_h": "9", "inst": " 20 277 8220 352994 18651536 1126617687 74667602300 5297682428242 395996602125000 30845267770384740", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "A_{n}=\\dbinom{2n}{n}^2\\sum_{k=0}^{n}\\dbinom{n}{k}^2\\dbinom{n+k}{n}", "n_sing_rational": "1", "n_sing": "3", "laurent": null, "discriminant_tex": "1-176z-256z^2", "discr_factors": "-256, -1/256+11/16*z+z^2", "dm_basis": ["-120*lambda", "37/6", "1", "1", "-17/6", "-10", "-1", "0", "0", "20", "0", "0", "-20", "0", "0", "0"], "q": "0 1 -44 486 -11184 -390527 -28173000 -2131044622 -168764951744 -13946975993196", "yuk": "1 20 2236 221960 22593852 2331442020 243349644568 25610987588920 2712413425853756 288681522949346960", "gv2": null, "gv0": "400 5540 164400 7059880 373030720 22532353740 1493352046000 105953648564840 7919932042500000 616905355407694800", "gv1": "0 0 0 1537 882496 214941640 37001766880 5388182343297 715201587952800 89732472170109248 10853707837547302400 1280463172653164106787 148416320937642960627520 16982448267723313699121648 1924600069649944296621370400 216520674412430601976469772097 24221257332526265388744193723840 2697512504678650518375575027208704 299363543965147494551366272473595840", "spectrum":[{"re":"-11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.693136","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["16/3+480*lambda","-13/6-240*lambda","299/360+92*lambda","-.167088493-52*lambda","46/3","-20/3","529/180","-299/360-92*lambda","40","-20","26/3","-13/6-240*lambda","80","-40","46/3","-10/3-480*lambda"],"monodromy_dm":["-9","-60","-6","-4","5","31","3","2","-60","-360","-35","-24","40","240","24","17"]},{"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","20","1","0","0","0","1","1"]},{"re":"-11/32+5/32*5^(1/2)","im":"0","approx_re":"0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":["1+120*lambda","0","17*lambda",".16908432e-1","17/6","1","289/720","-17*lambda","0","0","1","0","20","0","17/6","1-120*lambda"],"monodromy_dm":["1","-9","-1","-1","0","1","0","0","0","0","1","0","0","0","0","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1/2","1/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -216-948*X-1652*X^2-1408*X^3-512*X^4, 128*(4*X+5)*(2*X+3)*(8*X+9)*(8*X+13)]", "text": "Operator equivalent to (:aesz 255)", "degz": 2, "h3": null, "sol": "1 216 49896 11872896 2872063656 702039514176 172843800197376 42778986061971456 10630400741354546856 2649973379832808922816", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -216 -948 -1652 -1408 -512 224640 667392 738304 360448 65536", "new_number": "2.70", "id": 67, "operator_tex": "\\theta^4-2^{2} x\\left(128\\theta^4+352\\theta^3+413\\theta^2+237\\theta+54\\right)+2^{7} x^{2}(4\\theta+5)(2\\theta+3)(8\\theta+9)(8\\theta+13)", "superseek": "20 28820/3", "discriminant": "2 1 -512 65536", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "336ddc1188eadae2f4b4c470a17f4ec1", "dim_h": null, "inst": " 20 290 28820/3 454190 26517920 5315668130/3 130052490460 10228035566870 2544287074153040/3 73327006753069840", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(256z-1)^2", "discr_factors": "65536, (z-1/256)^2", "dm_basis": ["60*I*lambda+1/2+1/2*I-60*lambda", "3-3*I", "-I", "1", "-1+I", "-6+6*I", "I", "0", "0", "12-12*I", "0", "0", "-12+12*I", "0", "0", "0"], "q": "0 1 -84 3294 -104464 2008365 -80464536 -1641557998 -248229425472 -21222256770810", "yuk": "1 20 2340 259400 29070500 3314740020 382728367080 44608004227800 5236754239307940 618261759019448120", "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","12+12*I","1","0","0","0","-I","1"]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1/4","-3/4","1"],"monodromy":["1/2-60*I*lambda+I*(-1/2-60*I*lambda)","1/12-1/12*I","-5*I*lambda+5*lambda","-.20732598e-1+.20732598e-1*I","1-I","1/2-1/2*I","1/3-1/3*I","5*I*lambda-5*lambda","0","-1+I","1/2-1/2*I","1/12-1/12*I","12-12*I","0","1-I","1/2+60*I*lambda+I*(-1/2+60*I*lambda)"],"monodromy_dm":["-I","-4+4*I","I","-1","0","1-I","-83333/1000000*I","0","0","-12","0","0","0","4-8*I","333333/1000000-666667/1000000*I","1"]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["9/8","5/4","3/2","13/8"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -12-92*X-268*X^2-352*X^3-320*X^4, 7344+46656*X+104448*X^2+99840*X^3+44544*X^4, -165888-1492992*X-4709376*X^2-5971968*X^3-2506752*X^4, 2985984*(2*X+1)^4]", "text": "Sporadic Operator. There is a second MUM-point hiding at infinity, corresponding to Operator AESZ 362/4.73", "degz": 4, "h3": null, "sol": "1 12 324 -6000 -2778300 -361782288 -30344052816 -1087320117312 175645509682500 45289843467726000", "n_discr_factors": "2", "c3": null, "operator": "4 4 0 0 0 0 1 -12 -92 -268 -352 -320 7344 46656 104448 99840 44544 -165888 -1492992 -4709376 -5971968 -2506752 2985984 23887872 71663616 95551488 47775744", "new_number": "4.72", "id": 173, "operator_tex": "\\theta^4-2^{2} x\\left(80\\theta^4+88\\theta^3+67\\theta^2+23\\theta+3\\right)+2^{4} 3 x^{2}\\left(928\\theta^4+2080\\theta^3+2176\\theta^2+972\\theta+153\\right)-2^{10} 3^{2} x^{3}\\left(272\\theta^4+648\\theta^3+511\\theta^2+162\\theta+18\\right)+2^{12} 3^{6} x^{4}\\left((2\\theta+1)^4\\right)", "superseek": "20 -119332/9", "discriminant": "4 1 -320 44544 -2506752 47775744", "aesz": "361", "n_sing_complex": "1", "inst_int": "", "c2h": null, "hash": "f55eaa640956f064f5230c04d8173d60", "dim_h": null, "inst": " 20 -139 -119332/9 -462222 -2113440 9744926503/9 86597298876 2523690015938 -1608859520322496/9 -27901291082883368", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "3", "laurent": null, "discriminant_tex": "(20736z^2-224z+1)(-1+48z)^2", "discr_factors": "47775744, z^2-7/648*z+1/20736, (-1/48+z)^2", "dm_basis": null, "q": "0 1 -44 1902 -14192 942453 -28814376 -3593659182 -207641592000 1037108780802", "yuk": "1 20 -1092 -357976 -29583300 -264179980 233877876984 29702873514488 1292129258576956 -130317621146480152", "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":["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":"7/1296","im":"-1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"-0.004365","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/1296","im":"1/324*2^(1/2)","approx_re":"0.0054012345679","approx_im":"0.004365","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/48","im":"0","approx_re":"0.0208333333333","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":["1/2","1/2","1/2","1/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -216*X^4-264*X^3-196*X^2-64*X-8, 6672*X^4-4896*X^3-19504*X^2-12416*X-2464, 42496*X^4+491520*X^3+406784*X^2+110592*X+5888, -28672*(2*X+1)*(38*X^3+45*X^2+12*X-2), -802816*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.73\" from ...", "degz": 5, "h3": "16", "sol": "1 8 528 45440 4763920 556795008 69938905344 9243039995904 1268613972671760 179279670581348480", "n_discr_factors": "3", "c3": "-72", "operator": "4 5 0 0 0 0 1 -8 -64 -196 -264 -216 -2464 -12416 -19504 -4896 6672 5888 110592 406784 491520 42496 57344 -229376 -1978368 -3670016 -2179072 -2408448 -11239424 -18464768 -12845056 -3211264", "new_number": "5.73", "id": 286, "operator_tex": "\\theta^4-2^{2} x\\left(54\\theta^4+66\\theta^3+49\\theta^2+16\\theta+2\\right)+2^{4} x^{2}\\left(417\\theta^4-306\\theta^3-1219\\theta^2-776\\theta-154\\right)+2^{8} x^{3}\\left(166\\theta^4+1920\\theta^3+1589\\theta^2+432\\theta+23\\right)-2^{12} 7 x^{4}(2\\theta+1)(38\\theta^3+45\\theta^2+12\\theta-2)-2^{14} 7^{2} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "20 13188", "discriminant": "5 1 -216 6672 42496 -2179072 -3211264", "aesz": "293\n", "n_sing_complex": "0", "inst_int": "", "c2h": "52", "hash": "f19eeaee48396d15d7cf7be47d7d48a7", "dim_h": "7", "inst": " 20 867/2 13188 609734 35512476 4757494887/2 174895402996 13771251674214 1142718645352032 197654872436043985/2", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(256z^2+176z-1)(-1+28z)^2", "discr_factors": "-3211264, z^2+11/16*z-1/256, z+1/16, (-1/28+z)^2", "dm_basis": null, "q": "0 1 -32 -480 -4352 -721104 -62992896 -5185868288 -452386127872 -41357676687720", "yuk": "1 20 3488 356096 39026464 4439059520 513809807360 59989123227648 7050880896224032 833041892461987424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/32-5/32*5^(1/2)","im":"0","approx_re":"-0.693136","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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/32+5/32*5^(1/2)","im":"0","approx_re":"0.005636","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/28","im":"0","approx_re":"0.0357142857143","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":["1/2","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -4*(3*X^2+3*X+1)*(11*X^2+11*X+3), 3856*X^4+15040*X^3+20848*X^2+11616*X+2320, -4224*X^4+25344*X^3+77696*X^2+58368*X+14976, 244736*X^4+489472*X^3-329728*X^2-574464*X-173056, 135168*X^4+1351680*X^3+757760*X^2-131072*X-151552, 3948544*X^4+393216*X^3-1163264*X^2+393216*X+376832, 131072*(3*X^2+3*X+1)*(11*X^2+11*X+3), 1048576*(X+1)^4]", "text": "Hadamard product $b\\ast d$. This operator has a second MUM-point at infinity with the same instanton numbers.\nIt can be reduced to an operator of degree 4 with a single MUM-point defined over\n$Q(\\sqrt{?})$.", "degz": 8, "h3": "40", "sol": "1 12 380 16464 845676 48432912 2990911664 195076591680 13256109819628 929751677079312", "n_discr_factors": "3", "c3": "-30", "operator": "4 8 0 0 0 0 1 -12 -80 -212 -264 -132 2320 11616 20848 15040 3856 14976 58368 77696 25344 -4224 -173056 -574464 -329728 489472 244736 -151552 -131072 757760 1351680 135168 376832 393216 -1163264 393216 3948544 393216 2621440 6946816 8650752 4325376 1048576 4194304 6291456 4194304 1048576", "new_number": "8.7", "id": 529, "operator_tex": "\\theta^4-2^{2} x(3\\theta^2+3\\theta+1)(11\\theta^2+11\\theta+3)+2^{4} x^{2}\\left(241\\theta^4+940\\theta^3+1303\\theta^2+726\\theta+145\\right)-2^{7} x^{3}\\left(33\\theta^4-198\\theta^3-607\\theta^2-456\\theta-117\\right)+2^{10} x^{4}\\left(239\\theta^4+478\\theta^3-322\\theta^2-561\\theta-169\\right)+2^{12} x^{5}\\left(33\\theta^4+330\\theta^3+185\\theta^2-32\\theta-37\\right)+2^{14} x^{6}\\left(241\\theta^4+24\\theta^3-71\\theta^2+24\\theta+23\\right)+2^{17} x^{7}(3\\theta^2+3\\theta+1)(11\\theta^2+11\\theta+3)+2^{20} x^{8}\\left((\\theta+1)^4\\right)", "superseek": "12 356", "discriminant": "8 1 -132 3856 -4224 244736 135168 3948544 4325376 1048576", "aesz": "106", "n_sing_complex": "2", "inst_int": "", "c2h": "76", "hash": "fe1c90929d18b81637eaaa93366409ed", "dim_h": "13", "inst": " 12 20 356 34561/4 161840 4245848 110102724 12708064929/4 95966999384 3019304295592", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "1", "n_sing": "7", "laurent": null, "discriminant_tex": "(64z^2+88z-1)(16z^2+44z-1)(1+32z^2)^2", "discr_factors": "1048576, z^2+11/8*z-1/64, z^2+11/4*z-1/16, (1/32+z^2)^2", "dm_basis": null, "q": "0 1 -32 638 -10784 128433 -1511040 1810202 -116066944 -8653279804", "yuk": "1 12 172 9624 553148 20230012 917112952 37765234344 1626632864060 69959942560560", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-11/8-5/8*5^(1/2)","im":"0","approx_re":"-2.772542","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/16-5/16*5^(1/2)","im":"0","approx_re":"-1.386271","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"-1/8*2^(1/2)","approx_re":"0.0","approx_im":"-0.176777","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":"0","im":"1/8*2^(1/2)","approx_re":"0.0","approx_im":"0.176777","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/16+5/16*5^(1/2)","im":"0","approx_re":"0.011271","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/8+5/8*5^(1/2)","im":"0","approx_re":"0.022542","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","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}