{"count": 6, "status":"OK", "data":[{"pols": "[X^4, -12*(2*X+1)^2*(18*X^2+18*X+7), 11664*(2*X+1)^2*(2*X+3)^2]", "text": "Hadamard product $A \\ast$", "degz": 2, "h3": null, "sol": "1 84 17820 4868400 1499003100 494961035184 171107639586576 61103337391736640 22354350543240615900 8332724377700866743600", "n_discr_factors": "1", "c3": null, "operator": "4 2 0 0 0 0 1 -84 -552 -1416 -1728 -864 104976 559872 1026432 746496 186624", "new_number": "2.28", "id": 20, "operator_tex": "\\theta^4-2^{2} 3 x(2\\theta+1)^2(18\\theta^2+18\\theta+7)+2^{4} 3^{6} x^{2}(2\\theta+1)^2(2\\theta+3)^2", "superseek": "48 2864", "discriminant": "2 1 -864 186624", "aesz": "49", "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0a357a8c4fd703ab062148eadcd94daa", "dim_h": null, "inst": " 48 -438 2864 77958 -4942032 151245290 -1996758480 -88714438074 7950912054320 -337859845694358", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "2", "laurent": null, "discriminant_tex": "(432z-1)^2", "discr_factors": "186624, (z-1/432)^2", "dm_basis": ["3/2-168*lambda", "1", "1/2", "1", "0", "0", "-1", "0", "6", "-12", "0", "0", "12", "0", "0", "0"], "q": "0 1 -216 32940 -4129344 456394446 -46044021024 4329839724984 -384784254088704 32629964608928997", "yuk": "1 48 -3456 77376 4985856 -617753952 32669056512 -684888158592 -45421787308032 5796214887676656", "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","1","0","0","0","1","1"]},{"re":"1/432","im":"0","approx_re":"0.00231481481481","approx_im":"0.0","exponents":["0","1/3","2/3","1"],"monodromy":["-1/2+168*lambda","1/4+84*lambda","0",".7265788e-2","0","1","0","0","-6","1","1","1/4-84*lambda","-12","-6","0","-1/2-168*lambda"],"monodromy_dm":["-2","-1","0","-1","-1","1","333333/1000000","0","0","0","1","0","4","0","-1333333/1000000","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": "[529*X^4, -21183*X^4-47058*X^3-37812*X^2-14283*X-2116, -380851*X^4-1328584*X^3-1772673*X^2-1033528*X-221168, -951722*X^4-2620344*X^3-2057582*X^2-417864*X+54464, -603364*X^4-953360*X^3-349452*X^2+113152*X+66368, 6936*(X+1)^2*(3*X+2)*(3*X+4)]", "text": "This is operator \"5.2\" from ...", "degz": 5, "h3": "46", "sol": "1 4 84 2200 71140 2541504 97536936 3933223536 164621744100 7091115631600", "n_discr_factors": "3", "c3": "-106", "operator": "4 5 0 0 0 0 529 -2116 -14283 -37812 -47058 -21183 -221168 -1033528 -1772673 -1328584 -380851 54464 -417864 -2057582 -2620344 -951722 66368 113152 -349452 -953360 -603364 55488 235824 367608 249696 62424", "new_number": "5.2", "id": 238, "operator_tex": "23^{2} \\theta^4-23 x\\left(921\\theta^4+2046\\theta^3+1644\\theta^2+621\\theta+92\\right)-x^{2}\\left(380851\\theta^4+1328584\\theta^3+1772673\\theta^2+1033528\\theta+221168\\right)-2 x^{3}\\left(475861\\theta^4+1310172\\theta^3+1028791\\theta^2+208932\\theta-27232\\right)-2^{2} 17 x^{4}\\left(8873\\theta^4+14020\\theta^3+5139\\theta^2-1664\\theta-976\\right)+2^{3} 3 17^{2} x^{5}(\\theta+1)^2(3\\theta+2)(3\\theta+4)", "superseek": "80/23 4655/23", "discriminant": "5 529 -21183 -380851 -951722 -603364 62424", "aesz": "19", "n_sing_complex": "0", "inst_int": "", "c2h": "88", "hash": "4532f44d62f644bf66aa7b153d4f5c5a", "dim_h": "15", "inst": " 80/23 1157/46 4655/23 71184/23 1156690/23 22723282/23 477652417/23 10851707552/23 258585745581/23 12862622382465/46", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(z^2-11z-1)(23+34z)^2", "discr_factors": "62424, (23/34+z)^2, z-1/54, z^2-11*z-1", "dm_basis": null, "q": "0 1 -11 -37 371 -7540 -102111 -2527917 -63499383 -1687775155", "yuk": "1 80/23 4708/23 125765/23 4560484/23 144586330/23 4908359305/23 163834779111/23 5556078827108/23 188509008654314/23", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-23/34","im":"0","approx_re":"-0.676470588235","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2-5/2*5^(1/2)","im":"0","approx_re":"-0.09017","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":"1/54","im":"0","approx_re":"0.0185185185185","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"11/2+5/2*5^(1/2)","im":"0","approx_re":"11.09017","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","1","1","4/3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[169*X^4, -4251*X^4-13494*X^3-11141*X^2-4394*X-676, -205568*X^4-672128*X^3-833312*X^2-456768*X-91312, -249856*X^4+3833856*X^3+12986368*X^2+11821056*X+3168256, 65536*(2*X+1)*(76*X^3+426*X^2+570*X+227), 8388608*(2*X+1)*(X+1)^2*(2*X+3)]", "text": "This is operator \"5.80\" from ...", "degz": 5, "h3": "52", "sol": "1 4 84 1840 56980 1827504 65127216 2403800256 92748607380 3672378870160", "n_discr_factors": "2", "c3": "-144", "operator": "4 5 0 0 0 0 169 -676 -4394 -11141 -13494 -4251 -91312 -456768 -833312 -672128 -205568 3168256 11821056 12986368 3833856 -249856 14876672 67108864 102629376 60817408 9961472 25165824 117440512 192937984 134217728 33554432", "new_number": "5.80", "id": 294, "operator_tex": "13^{2} \\theta^4-13 x\\left(327\\theta^4+1038\\theta^3+857\\theta^2+338\\theta+52\\right)-2^{4} x^{2}\\left(12848\\theta^4+42008\\theta^3+52082\\theta^2+28548\\theta+5707\\right)-2^{11} x^{3}\\left(122\\theta^4-1872\\theta^3-6341\\theta^2-5772\\theta-1547\\right)+2^{16} x^{4}(2\\theta+1)(76\\theta^3+426\\theta^2+570\\theta+227)+2^{23} x^{5}(2\\theta+1)(\\theta+1)^2(2\\theta+3)", "superseek": "25/13 875/13", "discriminant": "5 169 -4251 -205568 -249856 9961472 33554432", "aesz": "311", "n_sing_complex": "3", "inst_int": "", "c2h": "100", "hash": "8219f3f4bd56f6c2b2cc3ab9093b65d1", "dim_h": "17", "inst": " 25/13 1359/52 875/13 36572/13 256800/13 34500709/52 104613534/13 3142545372/13 51341929900/13 1458903910460/13", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "5", "laurent": null, "discriminant_tex": "(8192z^3-896z^2-35z+1)(13+64z)^2", "discr_factors": "33554432, (13/64+z)^2, z^3-7/64*z^2-35/8192*z+1/8192", "dm_basis": null, "q": "0 1 -10 -61 1328 -19755 61538 -2237427 -17950176 -1074578897", "yuk": "1 25/13 211 23650/13 2343351/13 32100025/13 1863064654/13 35882442187/13 1608985573815/13 37428266920750/13", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-13/64","im":"0","approx_re":"-0.203125","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(3698+474*I*237^(1/2))^(1/3)-203/384/(3698+474*I*237^(1/2))^(1/3)+7/192+1/2*I*3^(1/2)*(1/384*(3698+474*I*237^(1/2))^(1/3)-203/192/(3698+474*I*237^(1/2))^(1/3))","im":"0","approx_re":"-0.045147","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":"-1/768*(3698+474*I*237^(1/2))^(1/3)-203/384/(3698+474*I*237^(1/2))^(1/3)+7/192-1/2*I*3^(1/2)*(1/384*(3698+474*I*237^(1/2))^(1/3)-203/192/(3698+474*I*237^(1/2))^(1/3))","im":"0","approx_re":"0.020117","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/384*(3698+474*I*237^(1/2))^(1/3)+203/192/(3698+474*I*237^(1/2))^(1/3)+7/192","im":"0","approx_re":"0.134405","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","1","1","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 45*X*(6*X^3-36*X^2-23*X-5), -43856*X^4-189068*X^3-226691*X^2-135510*X-33600, -2018124*X^4-8252064*X^3-12629223*X^2-9440955*X-2825280, -44621090*X^4-199900036*X^3-357072757*X^2-304636250*X-101358144, -2106679104-626343696*X^4-5880331251*X-6264684027*X^2-3123690552*X^3, -6129756792*X^4-33896196180*X^3-74692121733*X^2-75603980898*X-28663306560, -43639108452*X^4-265547915136*X^3-634080609729*X^2-683420563413*X-271245635712, -230254819911*X^4-1530136525212*X^3-3921086342187*X^2-4461216958062*X-1840113650880, -903194487630*X^4-6510042733140*X^3-17774917904034*X^2-21213011004588*X-9045241239168, -2605547351304*X^4-20247346799424*X^3-58572260919000*X^2-72964078471008*X-32033917853568, -7776*(X+1)*(691573543*X^3+5071601663*X^2+12510902832*X+10260936720), -93312*(X+1)*(X+2)*(80620421*X^2+475174733*X+711172676), -59719680*(X+3)*(X+2)*(X+1)*(107069*X+369433), -2493893836800*(X+1)*(X+2)*(X+3)*(X+4)]", "text": "This is operator \"14.2\" from ...", "degz": 14, "h3": null, "sol": "1 0 84 1944 70476 2671920 109185240 4674665520 207513100620 9473259005280", "n_discr_factors": "6", "c3": null, "operator": "4 14 0 0 0 0 25 0 -225 -1035 -1620 270 -33600 -135510 -226691 -189068 -43856 -2825280 -9440955 -12629223 -8252064 -2018124 -101358144 -304636250 -357072757 -199900036 -44621090 -2106679104 -5880331251 -6264684027 -3123690552 -626343696 -28663306560 -75603980898 -74692121733 -33896196180 -6129756792 -271245635712 -683420563413 -634080609729 -265547915136 -43639108452 -1840113650880 -4461216958062 -3921086342187 -1530136525212 -230254819911 -9045241239168 -21213011004588 -17774917904034 -6510042733140 -903194487630 -32033917853568 -72964078471008 -58572260919000 -20247346799424 -2605547351304 -79789043934720 -177073824356352 -136721554953120 -44814450401856 -5377675870368 -132721889485824 -287761843600128 -214425164248704 -66908062858752 -7522852724352 -132374523248640 -281051384463360 -202709913845760 -60427179048960 -6394126417920 -59853452083200 -124694691840000 -87286284288000 -24938938368000 -2493893836800", "new_number": "14.2", "id": 381, "operator_tex": "5^{2} \\theta^4+3^{2} 5 x\\theta(6\\theta^3-36\\theta^2-23\\theta-5)-x^{2}\\left(43856\\theta^4+189068\\theta^3+226691\\theta^2+135510\\theta+33600\\right)-3^{2} x^{3}\\left(224236\\theta^4+916896\\theta^3+1403247\\theta^2+1048995\\theta+313920\\right)-x^{4}\\left(44621090\\theta^4+199900036\\theta^3+357072757\\theta^2+304636250\\theta+101358144\\right)-3^{2} x^{5}\\left(69593744\\theta^4+347076728\\theta^3+696076003\\theta^2+653370139\\theta+234075456\\right)-3^{2} x^{6}\\left(681084088\\theta^4+3766244020\\theta^3+8299124637\\theta^2+8400442322\\theta+3184811840\\right)-3^{3} x^{7}\\left(1616263276\\theta^4+9835107968\\theta^3+23484467027\\theta^2+25311872719\\theta+10046134656\\right)-3^{3} x^{8}\\left(8527956293\\theta^4+56671723156\\theta^3+145225420081\\theta^2+165230257706\\theta+68152357440\\right)-2 3^{4} x^{9}\\left(5575274615\\theta^4+40185448970\\theta^3+109721715457\\theta^2+130944512374\\theta+55834822464\\right)-2^{3} 3^{3} x^{10}\\left(12062719219\\theta^4+93737716664\\theta^3+271167874625\\theta^2+337796659588\\theta+148305175248\\right)-2^{5} 3^{5} x^{11}(\\theta+1)(691573543\\theta^3+5071601663\\theta^2+12510902832\\theta+10260936720)-2^{7} 3^{6} x^{12}(\\theta+1)(\\theta+2)(80620421\\theta^2+475174733\\theta+711172676)-2^{14} 3^{6} 5 x^{13}(\\theta+3)(\\theta+2)(\\theta+1)(107069\\theta+369433)-2^{19} 3^{8} 5^{2} 29 x^{14}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "superseek": "27/5 1619/5", "discriminant": "14 25 270 -43856 -2018124 -44621090 -626343696 -6129756792 -43639108452 -230254819911 -903194487630 -2605547351304 -5377675870368 -7522852724352 -6394126417920 -2493893836800", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c0f6d85270164c8c5a63d1bb2deaba83", "dim_h": null, "inst": " 27/5 158/5 1619/5 51193/10 485082/5 42119247/20 50098932 1275546325 171045203277/5 4779763236621/5", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "10", "laurent": null, "discriminant_tex": "-(9z+1)(6z+1)(348z^2+51z-1)(5z+1)^2(4z+1)^2(576z^3+357z^2+72z+5)^2", "discr_factors": "-2493893836800, (z+1/5)^2, z^2+17/116*z-1/348, z+1/9, (z^3+119/192*z^2+1/8*z+5/576)^2, z+1/6, (z+1/4)^2", "dm_basis": null, "q": "0 1 -9 -108 81 -1571 -238428 -6407811 -165659121 -4873676145", "yuk": "1 27/5 1291/5 8748 1639467/5 60635277/5 2274484342/5 85919668407/5 3265400231467/5 124691953232673/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/576*(47015+576*6547^(1/2))^(1/3)-337/576/(47015+576*6547^(1/2))^(1/3)-119/576","im":"0","approx_re":"-0.298314","approx_im":"0.0","exponents":["0","1","3","4"],"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":"-1/5","im":"0","approx_re":"-0.2","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/232-11/696*33^(1/2)","im":"0","approx_re":"-0.164066","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1152*(47015+576*6547^(1/2))^(1/3)+337/1152/(47015+576*6547^(1/2))^(1/3)-119/576","im":"1/2*3^(1/2)*(-1/576*(47015+576*6547^(1/2))^(1/3)+337/576/(47015+576*6547^(1/2))^(1/3))","approx_re":"-0.160739","approx_im":"-0.057112","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1152*(47015+576*6547^(1/2))^(1/3)+337/1152/(47015+576*6547^(1/2))^(1/3)-119/576","im":"-1/2*3^(1/2)*(-1/576*(47015+576*6547^(1/2))^(1/3)+337/576/(47015+576*6547^(1/2))^(1/3))","approx_re":"-0.160739","approx_im":"0.057112","exponents":["0","1","3","4"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/232+11/696*33^(1/2)","im":"0","approx_re":"0.017515","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","3","4"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -741*X^2-84-702*X^3-189*X^4-390*X, 84564*X^3+57672+195534*X^2+1458*X^4+171396*X, -6088608-6386040*X^2+1180980*X^4-12203460*X+2361960*X^3, -385944264*X-648121824*X^2-29760696*X^4-365631408*X^3-41570496, 16045266672*X-1836660096*X^3+8290479600*X^2-1836660096*X^4+7856823744, 1377495072*(3*X+5)*(3*X+4)*(2*X+3)^2]", "text": "This is operator \"6.35\" from ...", "degz": 6, "h3": null, "sol": "1 84 7452 692688 66448116 6513064848 648237493296 65250781987968 6624881063467092 677185739050601424", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -84 -390 -741 -702 -189 57672 171396 195534 84564 1458 -6088608 -12203460 -6386040 2361960 1180980 -41570496 -385944264 -648121824 -365631408 -29760696 7856823744 16045266672 8290479600 -1836660096 -1836660096 247949112960 665330119776 668085109920 297538935552 49589822592", "new_number": "6.35", "id": 420, "operator_tex": "\\theta^4-3 x\\left(63\\theta^4+234\\theta^3+247\\theta^2+130\\theta+28\\right)+2 3^{4} x^{2}\\left(9\\theta^4+522\\theta^3+1207\\theta^2+1058\\theta+356\\right)+2^{2} 3^{7} x^{3}\\left(135\\theta^4+270\\theta^3-730\\theta^2-1395\\theta-696\\right)-2^{3} 3^{10} x^{4}\\left(63\\theta^4+774\\theta^3+1372\\theta^2+817\\theta+88\\right)-2^{4} 3^{13} x^{5}\\left(72\\theta^4+72\\theta^3-325\\theta^2-629\\theta-308\\right)+2^{5} 3^{16} x^{6}(3\\theta+5)(3\\theta+4)(2\\theta+3)^2", "superseek": null, "discriminant": "6 1 -189 1458 1180980 -29760696 -1836660096 49589822592", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "de26083962cade55a4938b4011d0008e", "dim_h": null, "inst": " 21 -1617/4 7941 -986355/4 8179455 -1227169941/4 12151571244 -1015240586355/2 21975670374150 -3923026912252995/4", "cleanlist": "False", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(54z-1)(27z-1)(54z+1)^2(108z-1)^2", "discr_factors": "49589822592, (z+1/54)^2, z-1/54, (z-1/108)^2, z-1/27", "dm_basis": null, "q": "0 1 -54 2565 -125676 6195150 -310093758 15690242988 -802117062504 41365068279705", "yuk": "1 21 -3213 214428 -15784893 1022431896 -66266965620 4167988936713 -259901605891773 16020263702969778", "gv2": null, "gv0": null, "gv1": null, 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2972999984611328*X^4+20564423672332288*X^3+52318003802406912*X^2+56006704252321792*X+18738217536716800, -9993233551589376*X^4-39729409560674304*X^3-51649747693338624*X^2+22817589285617664*X+59893142849060864, -4102638660485120*X^4-31822306049261568*X^3-18940651156537344*X^2+121644709457166336*X+150906304464945152, 25910335105925120*X^4+43449400994824192*X^3-308312062679842816*X^2-1164678857320562688*X-1012870180226727936, 9089112871010304*X^4+129134342147407872*X^3+481157833186869248*X^2+909074014821941248*X+663457960583757824, -23964955439005696*X^4+212293705090990080*X^3+1484481434985955328*X^2+2578781377646297088*X+1332128705794801664, -51633066040360960*X^4-536245015005888512*X^3-2124590716398075904*X^2-3120888988651487232*X-1478429722986676224, -12596005207801856*X^4-491173834360094720*X^3-213146926114144256*X^2-3341811660997263360*X-1821072730573766656, 132293239054008320*X^4+1063975411966279680*X^3+3149704989392240640*X^2+4120793659044003840*X+2023805082549616640, 112589990684262400*(X+2)^4]", "text": "This is operator \"24.16\" from ...", "degz": 24, "h3": null, "sol": "1 8 84 864 4164 -23461024/135 -277733033296/32805 -19735789422859648/78764805 -449917258854691948/78764805 -2346644384484601608928/24608375505", "n_discr_factors": "6", "c3": null, "operator": "4 24 0 0 0 0 27 -216 -1224 -2916 -3384 -1836 40320 159648 263760 189696 37296 -1470144 -4724480 -6157312 -2341120 388864 22685952 70449664 73559040 -23746560 -23542272 -446419968 -1167015936 -861919232 860798976 261416960 7600017408 15971803136 9430007808 -8346075136 1410457600 -62516248576 -128083623936 -79405940736 31455707136 -58932166656 144917725184 299915673600 114259918848 -160944881664 532305412096 2661123096576 7213453148160 7868225945600 3979114184704 -1241648201728 -28417419378688 -81169007771648 -88508112830464 -45254292013056 -10537484156928 24593926455296 178168346443776 277366697885696 180696958107648 70671077998592 1110830594654208 2015497189064704 1302336290947072 320371811155968 -35574710796288 -5551875180986368 -11981235937083392 -9972360413184000 -4011241219555328 -760342221160448 284169800253440 4175711623446528 7321833686695936 4888686395129856 1547385985564672 18738217536716800 56006704252321792 52318003802406912 20564423672332288 2972999984611328 59893142849060864 22817589285617664 -51649747693338624 -39729409560674304 -9993233551589376 150906304464945152 121644709457166336 -18940651156537344 -31822306049261568 -4102638660485120 -1012870180226727936 -1164678857320562688 -308312062679842816 43449400994824192 25910335105925120 663457960583757824 909074014821941248 481157833186869248 129134342147407872 9089112871010304 1332128705794801664 2578781377646297088 1484481434985955328 212293705090990080 -23964955439005696 -1478429722986676224 -3120888988651487232 -2124590716398075904 -536245015005888512 -51633066040360960 -1821072730573766656 -3341811660997263360 -213146926114144256 -491173834360094720 -12596005207801856 2023805082549616640 4120793659044003840 3149704989392240640 1063975411966279680 132293239054008320 1801439850948198400 3602879701896396800 2702159776422297600 900719925474099200 112589990684262400", "new_number": "24.16", "id": 591, "operator_tex": "3^{3} \\theta^4-2^{2} 3^{2} x\\left(51\\theta^4+94\\theta^3+81\\theta^2+34\\theta+6\\right)+2^{4} 3 x^{2}\\left(777\\theta^4+3952\\theta^3+5495\\theta^2+3326\\theta+840\\right)+2^{6} x^{3}\\left(6076\\theta^4-36580\\theta^3-96208\\theta^2-73820\\theta-22971\\right)-2^{8} x^{4}\\left(91962\\theta^4+92760\\theta^3-287340\\theta^2-275194\\theta-88617\\right)+2^{10} x^{5}\\left(255290\\theta^4+840624\\theta^3-841718\\theta^2-1139664\\theta-435957\\right)+2^{12} x^{6}\\left(344350\\theta^4-2037616\\theta^3+2302248\\theta^2+3899366\\theta+1855473\\right)-2^{14} x^{7}\\left(3596934\\theta^4-1919904\\theta^3+4846554\\theta^2+7817604\\theta+3815689\\right)+2^{16} x^{8}\\left(8122336\\theta^4-2455824\\theta^3+1743468\\theta^2+4576350\\theta+2211269\\right)-2^{18} x^{9}\\left(4736512\\theta^4-15179116\\theta^3-30014900\\theta^2-27517140\\theta-10151379\\right)-2^{20} x^{10}\\left(10049328\\theta^4+43157856\\theta^3+84407914\\theta^2+77408798\\theta+27100963\\right)+2^{22} x^{11}\\left(16849298\\theta^4+43081512\\theta^3+66129374\\theta^2+42478644\\theta+5863649\\right)-2^{24} x^{12}\\left(2120418\\theta^4-19095648\\theta^3-77625292\\theta^2-120132994\\theta-66210663\\right)-2^{26} x^{13}\\left(11329982\\theta^4+59772152\\theta^3+148599750\\theta^2+178534328\\theta+82729387\\right)+2^{28} x^{14}\\left(5764462\\theta^4+18211776\\theta^3+27275956\\theta^2+15555738\\theta+1058615\\right)+2^{30} x^{15}\\left(2768822\\theta^4+19152112\\theta^3+48724938\\theta^2+52160308\\theta+17451325\\right)-2^{32} x^{16}\\left(2326731\\theta^4+9250224\\theta^3+12025644\\theta^2-5312634\\theta-13944959\\right)-2^{34} x^{17}\\left(238805\\theta^4+1852302\\theta^3+1102491\\theta^2-7080654\\theta-8783903\\right)+2^{36} x^{18}\\left(377045\\theta^4+632272\\theta^3-4486531\\theta^2-16948308\\theta-14739201\\right)+2^{39} x^{19}\\left(16533\\theta^4+234894\\theta^3+875221\\theta^2+1653596\\theta+1206823\\right)-2^{42} x^{20}\\left(5449\\theta^4-48270\\theta^3-337532\\theta^2-586347\\theta-302891\\right)-2^{44} x^{21}\\left(2935\\theta^4+30482\\theta^3+120769\\theta^2+177402\\theta+84039\\right)-2^{46} x^{22}\\left(179\\theta^4+6980\\theta^3+3029\\theta^2+47490\\theta+25879\\right)+2^{49} 5 x^{23}\\left(47\\theta^4+378\\theta^3+1119\\theta^2+1464\\theta+719\\right)+2^{52} 5^{2} x^{24}\\left((\\theta+2)^4\\right)", "superseek": "20/3 7540/81", "discriminant": "24 27 -1836 37296 388864 -23542272 261416960 1410457600 -58932166656 532305412096 -1241648201728 -10537484156928 70671077998592 -35574710796288 -760342221160448 1547385985564672 2972999984611328 -9993233551589376 -4102638660485120 25910335105925120 9089112871010304 -23964955439005696 -51633066040360960 -12596005207801856 132293239054008320 112589990684262400", "aesz": null, "n_sing_complex": null, "inst_int": null, "c2h": null, "hash": "9b288a17ff21e31512fe3730227152b2", "dim_h": null, "inst": " 20/3 -194/9 7540/81 -2021323/972 1669749088/91125 -63632192906/295245 1470518089459210084/405244921725 -402958988898145483/9924365430 2811432292854797513086912/4395178907070525 -6014539529035936531819696/581372871305625", "cleanlist": "True", "n_sing_real": null, "sol_explicit": null, "n_sing_rational": null, "n_sing": null, "laurent": null, "discriminant_tex": "(4z+1)(16z^2+4z-1)(16384z^6+10240z^5+9984z^4+1024z^3-1056z^2+56z-1)(4z-1)^2(10240z^5-8704z^4+2752z^3-176z^2-4z+1)^2(4z+3)^3", "discr_factors": "112589990684262400, (z+3/4)^3, (z^5-17/20*z^4+43/160*z^3-11/640*z^2-1/2560*z+1/10240)^2, z+1/4, z^6+5/8*z^5+39/64*z^4+1/16*z^3-33/512*z^2+7/2048*z-1/16384, z^2+1/4*z-1/16, (z-1/4)^2", "dm_basis": null, "q": "0 1 -40/3 482/3 -125504/81 4780543/243 -545937488/2025 125429505106/32805 -505295732770946816/8270304525 7844942573322137618/8270304525", "yuk": "1 20/3 -1492/9 2520 -32381452/243 1669753948/729 -509031872728/10935 1470518097335690584/1181472075 -103158162403527716908/4962182715 2811432308048008549873912/6029051998725", "gv2": null, "gv0": null, "gv1": null}]}