{"count": 7, "status":"OK", "data":[{"pols": "[X^4, -80-384*X-784*X^2-800*X^3-560*X^4, 116224+378880*X+525824*X^2+369664*X^3+130560*X^4, -44154880-118669312*X-130973696*X^2-70418432*X^3-16924672*X^4, 7572291584+17667981312*X+16244539392*X^2+7198474240*X^3+1415053312*X^4, -650721099776-1352562376704*X-1072835854336*X^2-448253657088*X^3-90714406912*X^4, 23320598675456+46090904666112*X+36831492046848*X^2+21291226628096*X^3+5412195663872*X^4, 325833398943744+17952963297280*X-880502655418368*X^2-1093773551468544*X^3-302073639862272*X^4, -48175101971005440-24393215218024448*X+56059699853787136*X^2+54202624714473472*X^3+13754340707663872*X^4, 701418049776910336-1331323863283269632*X-3330851729091592192*X^2-1813050693737512960*X^3-513023329427259392*X^4, 28115409523720585216+87750949889453850624*X+93614636604290236416*X^2+44148787147112972288*X^3+18255341089546305536*X^4, -887731544148762689536-1907400542980971429888*X-2160034467677946773504*X^2-1533097370750954766336*X^3-598942721643257004032*X^4, 24107012200576866844672+72322765983987510804480*X+91927043248322336784384*X^2+56078101984077036912640*X^3+13918068403613856694272*X^4, -1049988672675547677982720-2599515174867150013726720*X-2474077315165925062737920*X^2-1074338374852844286115840*X^3-180040222159405223772160*X^4, 944473296573929042739200*(X+2)^4]", "text": "This is operator \"14.7\" from ...", "degz": 14, "h3": null, "sol": "1 80 5776 422144 32579856 2733577472 254151321856 26278279778304 2985194245274896 365061727104922880", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 1 -80 -384 -784 -800 -560 116224 378880 525824 369664 130560 -44154880 -118669312 -130973696 -70418432 -16924672 7572291584 17667981312 16244539392 7198474240 1415053312 -650721099776 -1352562376704 -1072835854336 -448253657088 -90714406912 23320598675456 46090904666112 36831492046848 21291226628096 5412195663872 325833398943744 17952963297280 -880502655418368 -1093773551468544 -302073639862272 -48175101971005440 -24393215218024448 56059699853787136 54202624714473472 13754340707663872 701418049776910336 -1331323863283269632 -3330851729091592192 -1813050693737512960 -513023329427259392 28115409523720585216 87750949889453850624 93614636604290236416 44148787147112972288 18255341089546305536 -887731544148762689536 -1907400542980971429888 -2160034467677946773504 -1533097370750954766336 -598942721643257004032 24107012200576866844672 72322765983987510804480 91927043248322336784384 56078101984077036912640 13918068403613856694272 -1049988672675547677982720 -2599515174867150013726720 -2474077315165925062737920 -1074338374852844286115840 -180040222159405223772160 15111572745182864683827200 30223145490365729367654400 22667359117774297025740800 7555786372591432341913600 944473296573929042739200", "new_number": "14.7", "id": 386, "operator_tex": "\\theta^4-2^{4} x\\left(35\\theta^4+50\\theta^3+49\\theta^2+24\\theta+5\\right)+2^{9} x^{2}\\left(255\\theta^4+722\\theta^3+1027\\theta^2+740\\theta+227\\right)-2^{14} x^{3}\\left(1033\\theta^4+4298\\theta^3+7994\\theta^2+7243\\theta+2695\\right)+2^{19} x^{4}\\left(2699\\theta^4+13730\\theta^3+30984\\theta^2+33699\\theta+14443\\right)-2^{24} x^{5}\\left(5407\\theta^4+26718\\theta^3+63946\\theta^2+80619\\theta+38786\\right)+2^{29} x^{6}\\left(10081\\theta^4+39658\\theta^3+68604\\theta^2+85851\\theta+43438\\right)-2^{34} x^{7}\\left(17583\\theta^4+63666\\theta^3+51252\\theta^2-1045\\theta-18966\\right)+2^{39} x^{8}\\left(25019\\theta^4+98594\\theta^3+101972\\theta^2-44371\\theta-87630\\right)-2^{44} x^{9}\\left(29162\\theta^4+103060\\theta^3+189337\\theta^2+75677\\theta-39871\\right)+2^{49} x^{10}\\left(32428\\theta^4+78424\\theta^3+166293\\theta^2+155877\\theta+49943\\right)-2^{54} x^{11}\\left(33248\\theta^4+85104\\theta^3+119906\\theta^2+105882\\theta+49279\\right)+2^{59} x^{12}\\left(24144\\theta^4+97280\\theta^3+159468\\theta^2+125460\\theta+41819\\right)-2^{67} 5 x^{13}\\left(244\\theta^4+1456\\theta^3+3353\\theta^2+3523\\theta+1423\\right)+2^{75} 5^{2} x^{14}\\left((\\theta+2)^4\\right)", "superseek": "48 3184", "discriminant": "14 1 -560 130560 -16924672 1415053312 -90714406912 5412195663872 -302073639862272 13754340707663872 -513023329427259392 18255341089546305536 -598942721643257004032 13918068403613856694272 -180040222159405223772160 944473296573929042739200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9e304ff532f3cfafc29dfac77fdff067", "dim_h": null, "inst": " 48 46 3184 409910 -3351792 660929430 10619210928 859394914110 70266573485696 2358254619793562", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(16z-1)(32z-1)(4096z^2-192z+1)(163840z^3+1024z^2+32z-1)^2(64z-1)^4", "discr_factors": "944473296573929042739200, z-1/16, (z^3+1/160*z^2+1/5120*z-1/163840)^2, z^2-3/64*z+1/4096, z-1/32, (z-1/64)^4", "dm_basis": null, "q": "0 1 -64 3104 -146432 5759792 -207339520 4827303424 -50713985024 -7931377213800", "yuk": "1 48 416 86016 26234656 -418973952 142760843264 3642389348352 440010222258976 51224332071158400", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/960*(359+45*65^(1/2))^(1/3)+7/480/(359+45*65^(1/2))^(1/3)-1/480","im":"-1/64*3^(1/2)*(1/15*(359+45*65^(1/2))^(1/3)+14/15/(359+45*65^(1/2))^(1/3))","approx_re":"-0.009802","approx_im":"-0.019","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(359+45*65^(1/2))^(1/3)+7/480/(359+45*65^(1/2))^(1/3)-1/480","im":"1/64*3^(1/2)*(1/15*(359+45*65^(1/2))^(1/3)+14/15/(359+45*65^(1/2))^(1/3))","approx_re":"-0.009802","approx_im":"0.019","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":"3/128-1/128*5^(1/2)","im":"0","approx_re":"0.005968","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/480*(359+45*65^(1/2))^(1/3)-7/240/(359+45*65^(1/2))^(1/3)-1/480","im":"0","approx_re":"0.013353","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["-1/2","-1/2","1/2","1/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/128+1/128*5^(1/2)","im":"0","approx_re":"0.040907","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -900-4500*X-9460*X^2-9920*X^3-4880*X^4, 589360+1882560*X+2483904*X^2+1533952*X^3+386304*X^4, -86156800-213212160*X-208503808*X^2-92610560*X^3-17022976*X^4, 4830281728+9927114752*X+7766360064*X^2+2965504000*X^3+531300352*X^4, -109175111680-198251642880*X-142011269120*X^2-68281171968*X^3-15289286656*X^4, 344805343232+1170026266624*X+1859989274624*X^2+1703860502528*X^3+419749167104*X^4, 21403969519616-2532420091904*X-48988396978176*X^2-41337986482176*X^3-9439801245696*X^4, -168637595910144+605779367297024*X+1247258502758400*X^2+704202837852160*X^3+173190261243904*X^4, -3353510464716800-15158417056333824*X-18365142718742528*X^2-9091861650079744*X^3-2972529685692416*X^4, 76086204642099200+208379443696107520*X+235383449274286080*X^2+138309766681198592*X^3+47481310133878784*X^4, -1311110441518235648-3497608060606611456*X-3939523774042341376*X^2-2232659515268923392*X^3-581527301884215296*X^4, 20878687872489619456+51593237331156402176*X+50710531804191784960*X^2+23742977235497254912*X^3+4593671619917905920*X^4, -180432215470971551744-398910840593969053696*X-339535383106716434432*X^2-132585973029787402240*X^3-20176126330619822080*X^4, 36893488147419103232*(X+2)^4]", "text": "This is operator \"14.8\" from ...", "degz": 14, "h3": null, "sol": "1 36 1196 41488 1543916 61692912 2626061552 117909711936 5533685570284 269383919495856", "n_discr_factors": "5", "c3": null, "operator": "4 14 0 0 0 0 25 -900 -4500 -9460 -9920 -4880 589360 1882560 2483904 1533952 386304 -86156800 -213212160 -208503808 -92610560 -17022976 4830281728 9927114752 7766360064 2965504000 531300352 -109175111680 -198251642880 -142011269120 -68281171968 -15289286656 344805343232 1170026266624 1859989274624 1703860502528 419749167104 21403969519616 -2532420091904 -48988396978176 -41337986482176 -9439801245696 -168637595910144 605779367297024 1247258502758400 704202837852160 173190261243904 -3353510464716800 -15158417056333824 -18365142718742528 -9091861650079744 -2972529685692416 76086204642099200 208379443696107520 235383449274286080 138309766681198592 47481310133878784 -1311110441518235648 -3497608060606611456 -3939523774042341376 -2232659515268923392 -581527301884215296 20878687872489619456 51593237331156402176 50710531804191784960 23742977235497254912 4593671619917905920 -180432215470971551744 -398910840593969053696 -339535383106716434432 -132585973029787402240 -20176126330619822080 590295810358705651712 1180591620717411303424 885443715538058477568 295147905179352825856 36893488147419103232", "new_number": "14.8", "id": 387, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(244\\theta^4+496\\theta^3+473\\theta^2+225\\theta+45\\right)+2^{4} x^{2}\\left(24144\\theta^4+95872\\theta^3+155244\\theta^2+117660\\theta+36835\\right)-2^{9} x^{3}\\left(33248\\theta^4+180880\\theta^3+407234\\theta^2+416430\\theta+168275\\right)+2^{14} x^{4}\\left(32428\\theta^4+181000\\theta^3+474021\\theta^2+605903\\theta+294817\\right)-2^{19} x^{5}\\left(29162\\theta^4+130236\\theta^3+270865\\theta^2+378135\\theta+208235\\right)+2^{24} x^{6}\\left(25019\\theta^4+101558\\theta^3+110864\\theta^2+69739\\theta+20552\\right)-2^{29} x^{7}\\left(17583\\theta^4+76998\\theta^3+91248\\theta^2+4717\\theta-39868\\right)+2^{34} x^{8}\\left(10081\\theta^4+40990\\theta^3+72600\\theta^2+35261\\theta-9816\\right)-2^{39} x^{9}\\left(5407\\theta^4+16538\\theta^3+33406\\theta^2+27573\\theta+6100\\right)+2^{44} x^{10}\\left(2699\\theta^4+7862\\theta^3+13380\\theta^2+11845\\theta+4325\\right)-2^{49} x^{11}\\left(1033\\theta^4+3966\\theta^3+6998\\theta^2+6213\\theta+2329\\right)+2^{54} x^{12}\\left(255\\theta^4+1318\\theta^3+2815\\theta^2+2864\\theta+1159\\right)-2^{59} x^{13}\\left(35\\theta^4+230\\theta^3+589\\theta^2+692\\theta+313\\right)+2^{65} x^{14}\\left((\\theta+2)^4\\right)", "superseek": "92/5 -76/5", "discriminant": "14 25 -4880 386304 -17022976 531300352 -15289286656 419749167104 -9439801245696 173190261243904 -2972529685692416 47481310133878784 -581527301884215296 4593671619917905920 -20176126330619822080 36893488147419103232", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "a787adbb87527c14af9a5f2508991317", "dim_h": null, "inst": " 92/5 -342/5 -76/5 75394/5 -2156752/5 46898574/5 -778024236/5 7887187698/5 16606513848 -7483257686776/5", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(64z-1)(32z-1)(256z^2-48z+1)(32768z^3-1024z^2-5-32z)^2(16z-1)^4", "discr_factors": "36893488147419103232, (z-1/16)^4, z-1/64, (z^3-1/32*z^2-5/32768-1/1024*z)^2, z^2-3/16*z+1/256, z-1/32", "dm_basis": null, "q": "0 1 -36 1126 -32528 864129 -20968728 453446770 -8252382784 104345470868", "yuk": "1 92/5 -2644/5 -392 4822572/5 -269593908/5 10130087288/5 -266862312856/5 4038244923948/5 12106148594800", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/192*(73+9*65^(1/2))^(1/3)-1/48/(73+9*65^(1/2))^(1/3)+1/96","im":"-1/64*3^(1/2)*(1/3*(73+9*65^(1/2))^(1/3)-4/3/(73+9*65^(1/2))^(1/3))","approx_re":"-0.020941","approx_im":"-0.040594","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(73+9*65^(1/2))^(1/3)-1/48/(73+9*65^(1/2))^(1/3)+1/96","im":"1/64*3^(1/2)*(1/3*(73+9*65^(1/2))^(1/3)-4/3/(73+9*65^(1/2))^(1/3))","approx_re":"-0.020941","approx_im":"0.040594","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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["-1/2","-1/2","1/2","1/2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(73+9*65^(1/2))^(1/3)+1/24/(73+9*65^(1/2))^(1/3)+1/96","im":"0","approx_re":"0.073133","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","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","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 12+54*X+94*X^2+80*X^3+146*X^4, 2456+9092*X+14064*X^2+10896*X^3+9396*X^4, 210848+676592*X+920344*X^2+642432*X^3+352728*X^4, 9914944+28603392*X+34693728*X^2+21707072*X^3+8626912*X^4, 286847488+760763904*X+836176384*X^2+469761024*X^3+145606400*X^4, 5430845440+13443704832*X+13582102528*X^2+6899736576*X^3+1753843712*X^4, 69713803264+163008135168*X+153273556992*X^2+71104528384*X^3+15376457728*X^4, 619062042624+1381508808704*X+1222573686784*X^2+523627331584*X^3+99110846464*X^4, 3835533262848+8246965305344*X+6940439085056*X^2+2775432822784*X^3+470517284864*X^4, 16544582598656+34586228686848*X+27958274162688*X^2+10557532930048*X^3+1634704818176*X^4, 49013967552512+100486178930688*X+78794027171840*X^2+28418456420352*X^3+4089110855680*X^4, 96980135051264+196496062414848*X+150874785579008*X^2+52568789090304*X^3+7142262177792*X^4, 121818627178496+245231895183360*X+185897458860032*X^2+63264868270080*X^3+8239894757376*X^4, 87756919275520+175803748843520*X+132317204971520*X^2+44409961840640*X^3+5626407157760*X^4, 1717986918400*(X+2)^4]", "text": "This is operator \"15.2\" from ...", "degz": 15, "h3": null, "sol": "1 -12 136 -1632 21296 -302016 4597120 -73944576 1239638800 -21432549312", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 1 12 54 94 80 146 2456 9092 14064 10896 9396 210848 676592 920344 642432 352728 9914944 28603392 34693728 21707072 8626912 286847488 760763904 836176384 469761024 145606400 5430845440 13443704832 13582102528 6899736576 1753843712 69713803264 163008135168 153273556992 71104528384 15376457728 619062042624 1381508808704 1222573686784 523627331584 99110846464 3835533262848 8246965305344 6940439085056 2775432822784 470517284864 16544582598656 34586228686848 27958274162688 10557532930048 1634704818176 49013967552512 100486178930688 78794027171840 28418456420352 4089110855680 96980135051264 196496062414848 150874785579008 52568789090304 7142262177792 121818627178496 245231895183360 185897458860032 63264868270080 8239894757376 87756919275520 175803748843520 132317204971520 44409961840640 5626407157760 27487790694400 54975581388800 41231686041600 13743895347200 1717986918400", "new_number": "15.2", "id": 390, "operator_tex": "\\theta^4+2 x\\left(73\\theta^4+40\\theta^3+47\\theta^2+27\\theta+6\\right)+2^{2} x^{2}\\left(2349\\theta^4+2724\\theta^3+3516\\theta^2+2273\\theta+614\\right)+2^{3} x^{3}\\left(44091\\theta^4+80304\\theta^3+115043\\theta^2+84574\\theta+26356\\right)+2^{5} x^{4}\\left(269591\\theta^4+678346\\theta^3+1084179\\theta^2+893856\\theta+309842\\right)+2^{8} x^{5}\\left(568775\\theta^4+1835004\\theta^3+3266314\\theta^2+2971734\\theta+1120498\\right)+2^{11} x^{6}\\left(856369\\theta^4+3369012\\theta^3+6631886\\theta^2+6564309\\theta+2651780\\right)+2^{11} x^{7}\\left(7508036\\theta^4+34719008\\theta^3+74840604\\theta^2+79593816\\theta+34039943\\right)+2^{13} x^{8}\\left(12098492\\theta^4+63919352\\theta^3+149239952\\theta^2+168641212\\theta+75569097\\right)+2^{16} x^{9}\\left(7179524\\theta^4+42349744\\theta^3+105902696\\theta^2+125838704\\theta+58525593\\right)+2^{19} x^{10}\\left(3117952\\theta^4+20136896\\theta^3+53326176\\theta^2+65967996\\theta+31556287\\right)+2^{21} x^{11}\\left(1949840\\theta^4+13550976\\theta^3+37571920\\theta^2+47915544\\theta+23371681\\right)+2^{23} x^{12}\\left(851424\\theta^4+6266688\\theta^3+17985676\\theta^2+23424156\\theta+11560933\\right)+2^{26} x^{13}\\left(122784\\theta^4+942720\\theta^3+2770088\\theta^2+3654240\\theta+1815239\\right)+2^{31} 5 x^{14}\\left(524\\theta^4+4136\\theta^3+12323\\theta^2+16373\\theta+8173\\right)+2^{36} 5^{2} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "2 38", "discriminant": "15 1 146 9396 352728 8626912 145606400 1753843712 15376457728 99110846464 470517284864 1634704818176 4089110855680 7142262177792 8239894757376 5626407157760 1717986918400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "76d5c5e186c39f14d8f32dfa0f13e22a", "dim_h": null, "inst": " 2 -29/4 38 -2077/8 2034 -69631/4 158858 -12172903/8 15129336 -619853933/4", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "(4z+1)(64z^2+24z+1)^2(160z^2+32z+1)^2(2z+1)^3(8z+1)^3", "discr_factors": "1717986918400, z+1/4, (z+1/8)^3, (z+1/2)^3, (z^2+3/8*z+1/64)^2, (z^2+1/5*z+1/160)^2", "dm_basis": null, "q": "0 1 6 22 96 190 1472 -3540 55296 -451314", "yuk": "1 2 -56 1028 -16672 254252 -3759104 54488296 -779082464 11029286972", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16-1/16*5^(1/2)","im":"0","approx_re":"-0.327254","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"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":"-1/10-1/40*6^(1/2)","im":"0","approx_re":"-0.161237","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","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-3/16+1/16*5^(1/2)","im":"0","approx_re":"-0.047746","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/10+1/40*6^(1/2)","im":"0","approx_re":"-0.038763","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[27*X^4, 432*X^4-540-2628*X-5760*X^3-5508*X^2, 295872*X+306240*X^2+112464-33792*X^3-129024*X^4, -1102080+17825792*X^3+6772736*X^2+1005568*X+335872*X^4, -65896448*X+209977344*X^4-7311360-67010560*X^2-67633152*X^3, -8728018944-20230963200*X-14659092480*X^3-3407872000*X^4-20752105472*X^2, -66441969664*X^2+32568770560*X-88264933376*X^4-76369887232*X^3+50988056576, 11803408990208+10383083438080*X^3+25540291461120*X+22371679338496*X^2+1950720458752*X^4, 14018773254144*X^3+16522739187712*X^4-88707717660672-43752831844352*X^2-124506806943744*X, -11378553778077696*X-8578509978992640*X^2-428603376402432*X^4-5853482078699520-3110518394978304*X^3, 20472631631282176*X^2+44573995231608832-2308974418329600*X^3+58566861243023360*X-2196824232296448*X^4, 1383827742532829184*X^2+1060244769013235712+1993713648320643072*X+419679190275588096*X^3+43980465111040000*X^4, -3489322140979691520+790803947068588032*X^2+250512729272483840*X^4+1173187702930014208*X^3-2883851873889026048*X, -86645879130887815168*X^2-137928368087755653120*X-76746685674950754304-21527206218830970880*X^3-1639310264362860544*X^4, -454233058416588226560*X^2-640682082989726760960*X-14771806777775226880*X^4-138350580552821637120*X^3-332635868477584834560, -28823037615171174400*(X+2)^4]", "text": "This is operator \"15.3\" from ...", "degz": 15, "h3": null, "sol": "1 20 388 7344 141636 2777360 55728816 1143301440 23982011716 513499103440", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 27 -540 -2628 -5508 -5760 432 112464 295872 306240 -33792 -129024 -1102080 1005568 6772736 17825792 335872 -7311360 -65896448 -67010560 -67633152 209977344 -8728018944 -20230963200 -20752105472 -14659092480 -3407872000 50988056576 32568770560 -66441969664 -76369887232 -88264933376 11803408990208 25540291461120 22371679338496 10383083438080 1950720458752 -88707717660672 -124506806943744 -43752831844352 14018773254144 16522739187712 -5853482078699520 -11378553778077696 -8578509978992640 -3110518394978304 -428603376402432 44573995231608832 58566861243023360 20472631631282176 -2308974418329600 -2196824232296448 1060244769013235712 1993713648320643072 1383827742532829184 419679190275588096 43980465111040000 -3489322140979691520 -2883851873889026048 790803947068588032 1173187702930014208 250512729272483840 -76746685674950754304 -137928368087755653120 -86645879130887815168 -21527206218830970880 -1639310264362860544 -332635868477584834560 -640682082989726760960 -454233058416588226560 -138350580552821637120 -14771806777775226880 -461168601842738790400 -922337203685477580800 -691752902764108185600 -230584300921369395200 -28823037615171174400", "new_number": "15.3", "id": 391, "operator_tex": "3^{3} \\theta^4+2^{2} 3^{2} x\\left(12\\theta^4-160\\theta^3-153\\theta^2-73\\theta-15\\right)-2^{4} 3 x^{2}\\left(2688\\theta^4+704\\theta^3-6380\\theta^2-6164\\theta-2343\\right)+2^{8} x^{3}\\left(1312\\theta^4+69632\\theta^3+26456\\theta^2+3928\\theta-4305\\right)+2^{12} x^{4}\\left(51264\\theta^4-16512\\theta^3-16360\\theta^2-16088\\theta-1785\\right)-2^{16} x^{5}\\left(52000\\theta^4+223680\\theta^3+316652\\theta^2+308700\\theta+133179\\right)-2^{21} x^{6}\\left(42088\\theta^4+36416\\theta^3+31682\\theta^2-15530\\theta-24313\\right)+2^{25} x^{7}\\left(58136\\theta^4+309440\\theta^3+666728\\theta^2+761160\\theta+351769\\right)+2^{29} x^{8}\\left(30776\\theta^4+26112\\theta^3-81496\\theta^2-231912\\theta-165231\\right)-2^{33} 3 x^{9}\\left(16632\\theta^4+120704\\theta^3+332890\\theta^2+441546\\theta+227145\\right)-2^{36} x^{10}\\left(31968\\theta^4+33600\\theta^3-297916\\theta^2-852260\\theta-648637\\right)+2^{40} x^{11}\\left(40000\\theta^4+381696\\theta^3+1258584\\theta^2+1813272\\theta+964287\\right)+2^{44} x^{12}\\left(14240\\theta^4+66688\\theta^3+44952\\theta^2-163928\\theta-198345\\right)-2^{48} x^{13}\\left(5824\\theta^4+76480\\theta^3+307828\\theta^2+490020\\theta+272659\\right)-2^{54} 5 x^{14}\\left(164\\theta^4+1536\\theta^3+5043\\theta^2+7113\\theta+3693\\right)-2^{60} 5^{2} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "44/3 220588/81", "discriminant": "15 27 432 -129024 335872 209977344 -3407872000 -88264933376 1950720458752 16522739187712 -428603376402432 -2196824232296448 43980465111040000 250512729272483840 -1639310264362860544 -14771806777775226880 -28823037615171174400", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "ae51313cd958206bb1b7a3c8ae23e509", "dim_h": null, "inst": " 44/3 -1421/9 220588/81 -14752264/243 1138508000/729 -10709297389/243 26132550216580/19683 -2479083315913288/59049 37209718959808/27 -222890635279564684376/4782969", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(1+16z)(1280z^2-32z-1)^2(256z^2+16z-1)^2(16z+3)^3(16z-1)^3", "discr_factors": "-28823037615171174400, (z^2-1/40*z-1/1280)^2, (z+3/16)^3, (z^2+1/16*z-1/256)^2, 1/16+z, (z-1/16)^3", "dm_basis": null, "q": "0 1 -52/3 1034/3 -685232/81 58632847/243 -7584520 1665120615890/6561 -174404409876800/19683 956870278022/3", "yuk": "1 44/3 -11236/9 73544 -944448268/243 142313510692/729 -9519303176 8963464724575624/19683 -1269290887248532580/59049 1004662411988360", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-3/16","im":"0","approx_re":"-0.1875","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"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":"1/80-1/80*6^(1/2)","im":"0","approx_re":"-0.018119","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":"-1/32+1/32*5^(1/2)","im":"0","approx_re":"0.038627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/80+1/80*6^(1/2)","im":"0","approx_re":"0.043119","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","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":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -300-1100*X-1660*X^2-1120*X^3-10480*X^4, 680960*X+1964544*X^4+632832*X^3+969344*X^2+158320, -37018880-144348160*X-209849344*X^2-139444224*X^3-217964544*X^4, 15973089280*X^4+17656250368*X+5061877760+16775118848*X^3+25085739008*X^2, -450117763072-1433513492480*X-1922996109312*X^2-1260052807680*X^3-817352409088*X^4, 101136447045632*X^2+63277149192192*X^3+81033617735680*X+30113106231296*X^4+27403069947904, -1172226564947968-3250626939060224*X-3763978341711872*X^2-2205773333528576*X^3-811916054233088*X^4, 54428574353981440*X^3+16123384538595328*X^4+93195756621529088*X+100329190494044160*X^2+35629414452559872, -769799426687369216-1907350033615814656*X-1916083179597332480*X^2-957108379304591360*X^3-235396918291726336*X^4, 2501498904353177600*X^4+11941558294763536384*X^3+27594548875410538496*X+25978776955975106560*X^2+11710476134977110016, -122831035499414552576-276522424495432007680*X-245184900544560365568*X^2-104031884754863259648*X^3-18970780111600615424*X^4, 1852920498288670539776*X+856593656325123080192+613444312443390001152*X^3+99284105585196269568*X^4+1556901146581421522944*X^2, -3736042135678487625728-7821275372064774029312*X-6275928210327371513856*X^2-2315642842002852151296*X^3-338526576790185443328*X^4, 14379237005456595484672*X^2+673306158690398633984*X^4+18603541398336082804736*X+5017514388048998039552*X^3+9112691572412518498304, -590295810358705651712*(X+2)^4]", "text": "This is operator \"15.4\" from ...", "degz": 15, "h3": null, "sol": "1 12 44 -3792 -207124 -8325552 -309616912 -11277235008 -410187134228 -15004164993648", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 25 -300 -1100 -1660 -1120 -10480 158320 680960 969344 632832 1964544 -37018880 -144348160 -209849344 -139444224 -217964544 5061877760 17656250368 25085739008 16775118848 15973089280 -450117763072 -1433513492480 -1922996109312 -1260052807680 -817352409088 27403069947904 81033617735680 101136447045632 63277149192192 30113106231296 -1172226564947968 -3250626939060224 -3763978341711872 -2205773333528576 -811916054233088 35629414452559872 93195756621529088 100329190494044160 54428574353981440 16123384538595328 -769799426687369216 -1907350033615814656 -1916083179597332480 -957108379304591360 -235396918291726336 11710476134977110016 27594548875410538496 25978776955975106560 11941558294763536384 2501498904353177600 -122831035499414552576 -276522424495432007680 -245184900544560365568 -104031884754863259648 -18970780111600615424 856593656325123080192 1852920498288670539776 1556901146581421522944 613444312443390001152 99284105585196269568 -3736042135678487625728 -7821275372064774029312 -6275928210327371513856 -2315642842002852151296 -338526576790185443328 9112691572412518498304 18603541398336082804736 14379237005456595484672 5017514388048998039552 673306158690398633984 -9444732965739290427392 -18889465931478580854784 -14167099448608935641088 -4722366482869645213696 -590295810358705651712", "new_number": "15.4", "id": 392, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(524\\theta^4+56\\theta^3+83\\theta^2+55\\theta+15\\right)+2^{4} x^{2}\\left(122784\\theta^4+39552\\theta^3+60584\\theta^2+42560\\theta+9895\\right)-2^{8} x^{3}\\left(851424\\theta^4+544704\\theta^3+819724\\theta^2+563860\\theta+144605\\right)+2^{13} x^{4}\\left(1949840\\theta^4+2047744\\theta^3+3062224\\theta^2+2155304\\theta+617905\\right)-2^{18} x^{5}\\left(3117952\\theta^4+4806720\\theta^3+7335648\\theta^2+5468420\\theta+1717063\\right)+2^{22} x^{6}\\left(7179524\\theta^4+15086448\\theta^3+24112808\\theta^2+19319920\\theta+6533401\\right)-2^{26} x^{7}\\left(12098492\\theta^4+32868584\\theta^3+56087648\\theta^2+48438116\\theta+17467537\\right)+2^{31} x^{8}\\left(7508036\\theta^4+25345280\\theta^3+46719420\\theta^2+43397656\\theta+16591239\\right)-2^{38} x^{9}\\left(856369\\theta^4+3481940\\theta^3+6970670\\theta^2+6938899\\theta+2800514\\right)+2^{42} x^{10}\\left(568775\\theta^4+2715196\\theta^3+5906890\\theta^2+6274274\\theta+2662654\\right)-2^{46} x^{11}\\left(269591\\theta^4+1478382\\theta^3+3484287\\theta^2+3929620\\theta+1745534\\right)+2^{51} x^{12}\\left(44091\\theta^4+272424\\theta^3+691403\\theta^2+822862\\theta+380404\\right)-2^{57} x^{13}\\left(2349\\theta^4+16068\\theta^3+43548\\theta^2+54271\\theta+25924\\right)+2^{63} x^{14}\\left(73\\theta^4+544\\theta^3+1559\\theta^2+2017\\theta+988\\right)-2^{69} x^{15}\\left((\\theta+2)^4\\right)", "superseek": "52/5 13436/5", "discriminant": "15 25 -10480 1964544 -217964544 15973089280 -817352409088 30113106231296 -811916054233088 16123384538595328 -235396918291726336 2501498904353177600 -18970780111600615424 99284105585196269568 -338526576790185443328 673306158690398633984 -590295810358705651712", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "2306e85a3af0a97d616dedf03cc93f69", "dim_h": null, "inst": " 52/5 115 13436/5 89632 18465296/5 871619621/5 45240257244/5 503650715312 147905271435016/5 9063969995240684/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+32z)(256z^2-48z+1)^2(512z^2-128z+5)^2(64z-1)^3(16z-1)^3", "discr_factors": "-590295810358705651712, (z-1/16)^3, (z^2-1/4*z+5/512)^2, -1/32+z, (z-1/64)^3, (z^2-3/16*z+1/256)^2", "dm_basis": null, "q": "0 1 4 422 23056 1452289 97060696 6773971762 487971107392 36012102833428", "yuk": "1 52/5 4652/5 362824/5 28686892/5 2308162052/5 37654041112 15517408234744/5 1289345859885612/5 107822942876489488/5", "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":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32-1/32*5^(1/2)","im":"0","approx_re":"0.023873","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8-1/32*6^(1/2)","im":"0","approx_re":"0.048453","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"3/32+1/32*5^(1/2)","im":"0","approx_re":"0.163627","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/8+1/32*6^(1/2)","im":"0","approx_re":"0.201547","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","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -88*X^3+4-71*X^4-42*X^2+2*X, -10462*X-13294*X^2-875*X^4-6848*X^3-3132, 3357*X^4-208620-403812*X-276444*X^2-57240*X^3, 679104*X^3-1214676*X-1229580+262116*X^2+149283*X^4, 22661694*X^2+492075*X^4+7820712+23317794*X+8345592*X^3, -4782969*X^4+73338858*X^2+162620946*X+103453848, -43046721*(X+2)^4]", "text": "This is operator \"7.20\" from ...", "degz": 7, "h3": null, "sol": "1 -4 147 4496 223111 12256428 709357485 43160215488 2720187059895 176274536441396", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 4 2 -42 -88 -71 -3132 -10462 -13294 -6848 -875 -208620 -403812 -276444 -57240 3357 -1229580 -1214676 262116 679104 149283 7820712 23317794 22661694 8345592 492075 103453848 162620946 73338858 0 -4782969 -688747536 -1377495072 -1033121304 -344373768 -43046721", "new_number": "7.20", "id": 443, "operator_tex": "\\theta^4-x\\left(88\\theta^3-4+71\\theta^4+42\\theta^2-2\\theta\\right)-x^{2}\\left(10462\\theta+13294\\theta^2+875\\theta^4+6848\\theta^3+3132\\right)+3^{2} x^{3}\\left(373\\theta^4-6360\\theta^3-30716\\theta^2-44868\\theta-23180\\right)+3^{4} x^{4}\\left(1843\\theta^4+8384\\theta^3+3236\\theta^2-14996\\theta-15180\\right)+3^{8} x^{5}\\left(75\\theta^4+1272\\theta^3+3454\\theta^2+3554\\theta+1192\\right)-3^{11} x^{6}\\left(27\\theta^4-414\\theta^2-918\\theta-584\\right)-3^{16} x^{7}\\left((\\theta+2)^4\\right)", "superseek": "10 3394/3", "discriminant": "7 1 -71 -875 3357 149283 492075 -4782969 -43046721", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9d5791eaabb9d0e9cb4b5cd0b2158b12", "dim_h": null, "inst": " 10 77 3394/3 24029 640402 58912007/3 659800738 23733455789 2698636083688/3 35532268316211", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "-(-1+81z)(9z-1)^2(81z^2+14z+1)^2", "discr_factors": "-43046721, -1/81+z, (z-1/9)^2, (z^2+14/81*z+1/81)^2", "dm_basis": null, "q": "0 1 -14 -135 -458 -22038 -1292652 -48153487 -1891905026 -78912224514", "yuk": "1 10 626 30556 1538482 80050260 4241695676 226311653144 12151530902450 655768568366740", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-7/81","im":"-4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"-0.069838","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"-7/81","im":"4/81*2^(1/2)","approx_re":"-0.0864197530864","approx_im":"0.069838","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":"1/81","im":"0","approx_re":"0.0123456790123","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","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","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -243*X^4-1944*X^3-2106*X^2-1134*X-252, 1733562*X^2+1896858*X+784404-54675*X^4+489888*X^3, 125183880*X^3-55820988*X^2-269499636*X-193444524+36275769*X^4, -1784047437*X^4-44692062336*X^3-78421559724*X^2-49073261940*X-2582803260, 13321840934754*X+6276211921800+7896404406798*X^2-1016978783625*X^4-176663742984*X^3, 1220095597597920*X^3+3095992578904722*X^2+3523026038063994*X+1525119496997400+180472473811359*X^4, 5559060566555523*(X+2)^4]", "text": "This is operator \"7.21\" from ...", "degz": 7, "h3": null, "sol": "1 252 40419 2460816 -1025424441 -470244835476 -112693574960739 -15681819552773184 291015299087501751 931928754097953071028", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 -252 -1134 -2106 -1944 -243 784404 1896858 1733562 489888 -54675 -193444524 -269499636 -55820988 125183880 36275769 -2582803260 -49073261940 -78421559724 -44692062336 -1784047437 6276211921800 13321840934754 7896404406798 -176663742984 -1016978783625 1525119496997400 3523026038063994 3095992578904722 1220095597597920 180472473811359 88944969064888368 177889938129776736 133417453597332552 44472484532444184 5559060566555523", "new_number": "7.21", "id": 444, "operator_tex": "\\theta^4-3^{2} x\\left(27\\theta^4+216\\theta^3+234\\theta^2+126\\theta+28\\right)-3^{6} x^{2}\\left(75\\theta^4-672\\theta^3-2378\\theta^2-2602\\theta-1076\\right)+3^{9} x^{3}\\left(1843\\theta^4+6360\\theta^3-2836\\theta^2-13692\\theta-9828\\right)-3^{14} x^{4}\\left(373\\theta^4+9344\\theta^3+16396\\theta^2+10260\\theta+540\\right)-3^{19} x^{5}\\left(875\\theta^4+152\\theta^3-6794\\theta^2-11462\\theta-5400\\right)+3^{26} x^{6}\\left(71\\theta^4+480\\theta^3+1218\\theta^2+1386\\theta+600\\right)+3^{33} x^{7}\\left((\\theta+2)^4\\right)", "superseek": "90 413926", "discriminant": "7 1 -243 -54675 36275769 -1784047437 -1016978783625 180472473811359 5559060566555523", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f2cdf32038c22a3da2f5752ad59eaa27", "dim_h": null, "inst": " 90 -4365 413926 -38862153 4502063682 -580399202909 78997404823794 -11316942525045753 1684968614368188280 -258355309614492981267", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(1+27z)(243z+1)^2(59049z^2-378z+1)^2", "discr_factors": "5559060566555523, (z+1/243)^2, (z^2-14/2187*z+1/59049)^2, 1/27+z", "dm_basis": null, "q": "0 1 -126 18873 -2482170 359156970 -54095097996 8455289580657 -1363385621250162 225172657035540990", "yuk": "1 90 -34830 11176092 -2487212622 562757960340 -125366216687172 27096109854561432 -5794274575310638158 1228342119874420432212", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/243","im":"0","approx_re":"-0.00411522633745","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":"7/2187","im":"-4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"-0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/2187","im":"4/2187*2^(1/2)","approx_re":"0.00320073159579","approx_im":"0.002587","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["2","2","2","2"],"monodromy":[],"monodromy_dm":[]}]}]}