{"count": 11, "status":"OK", "data":[{"pols": "[X^4, 144+2560*X^4+512*X^3+896*X^2+640*X, 3620864*X^2+466944+1966080*X+2490368*X^3+2686976*X^4, 943718400+2919235584*X^3+3095396352*X+3938451456*X^2+1744830464*X^4, 2573759152128*X^2+2280627634176*X+901943132160*X^4+1494648619008*X^3+772288806912, 831230790598656*X+831230790598656*X^2+301815941824512+376032976699392*X^4+633318697598976*X^3, 227994731135631360*X^3+130041439240323072*X^4+141863388262170624*X+255438541364920320*X^2+28816000740753408, 29939930322759057408*X+37614064087798382592*X^4-5890708312600608768+68742944712183250944*X^3+96250931236162240512*X^2, 1463057389346088812544+15356914441363201720320*X+30312612199123220692992*X^2+9020457852043970740224*X^4+17155471988549883002880*X^3, 1794499263490465181204480*X^4+6782498861021527938170880*X^2+5100155801499216830791680*X+1474263786370867365150720+3825116851124412623093760*X^3, 278052938511364710182420480*X^4+773712524553362671811952640*X^3+327543339251838592021954560+1181724988673300018275287040*X^2+958073712044593620954644480*X, 44972040489664205299069747200+199230975072490887991577804800*X^2+150873942287905721003330764800*X+30948500982134506872478105600*X^4+123794003928538027489912422400*X^3, 123794003928538027489912422400*(2*X+3)^4]", "text": "This is operator \"12.10\" from ...", "degz": 12, "h3": null, "sol": "1 -144 13584 -80128 -173794032 -8552745216 17858836422912 -5271446452801536 718660048363003152 7258621476588816128", "n_discr_factors": "3", "c3": null, "operator": "4 12 0 0 0 0 1 144 640 896 512 2560 466944 1966080 3620864 2490368 2686976 943718400 3095396352 3938451456 2919235584 1744830464 772288806912 2280627634176 2573759152128 1494648619008 901943132160 301815941824512 831230790598656 831230790598656 633318697598976 376032976699392 28816000740753408 141863388262170624 255438541364920320 227994731135631360 130041439240323072 -5890708312600608768 29939930322759057408 96250931236162240512 68742944712183250944 37614064087798382592 1463057389346088812544 15356914441363201720320 30312612199123220692992 17155471988549883002880 9020457852043970740224 1474263786370867365150720 5100155801499216830791680 6782498861021527938170880 3825116851124412623093760 1794499263490465181204480 327543339251838592021954560 958073712044593620954644480 1181724988673300018275287040 773712524553362671811952640 278052938511364710182420480 44972040489664205299069747200 150873942287905721003330764800 199230975072490887991577804800 123794003928538027489912422400 30948500982134506872478105600 10027314318211580226682906214400 26739504848564213937821083238400 26739504848564213937821083238400 11884224377139650639031592550400 1980704062856608439838598758400", "new_number": "12.10", "id": 347, "operator_tex": "\\theta^4+2^{4} x\\left(160\\theta^4+32\\theta^3+56\\theta^2+40\\theta+9\\right)+2^{13} x^{2}\\left(328\\theta^4+304\\theta^3+442\\theta^2+240\\theta+57\\right)+2^{22} x^{3}\\left(416\\theta^4+696\\theta^3+939\\theta^2+738\\theta+225\\right)+2^{28} 3 x^{4}\\left(1120\\theta^4+1856\\theta^3+3196\\theta^2+2832\\theta+959\\right)+2^{39} 3^{2} x^{5}\\left(76\\theta^4+128\\theta^3+168\\theta^2+168\\theta+61\\right)+2^{45} 3 x^{6}\\left(1232\\theta^4+2160\\theta^3+2420\\theta^2+1344\\theta+273\\right)+2^{54} 3 x^{7}\\left(696\\theta^4+1272\\theta^3+1781\\theta^2+554\\theta-109\\right)+2^{60} 3 x^{8}\\left(2608\\theta^4+4960\\theta^3+8764\\theta^2+4440\\theta+423\\right)+2^{68} 5 x^{9}\\left(1216\\theta^4+2592\\theta^3+4596\\theta^2+3456\\theta+999\\right)+2^{76} 5 x^{10}\\left(736\\theta^4+2048\\theta^3+3128\\theta^2+2536\\theta+867\\right)+2^{84} 5^{2} x^{11}\\left(64\\theta^4+256\\theta^3+412\\theta^2+312\\theta+93\\right)+2^{92} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "224 4999008", "discriminant": "12 1 2560 2686976 1744830464 901943132160 376032976699392 130041439240323072 37614064087798382592 9020457852043970740224 1794499263490465181204480 278052938511364710182420480 30948500982134506872478105600 1980704062856608439838598758400", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "d0e84951fc25cf38a32ec7fba5893d59", "dim_h": null, "inst": " 224 -22712 4999008 -855952448 199163179936 -53623886987352 14508663979369952 -4181788885349205056 1262106790700693848320 -389795261431691959411304", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(256z+1)^2(65536z^2+256z+1)^2(83886080z^3+768z+1)^2", "discr_factors": "1980704062856608439838598758400, (z^3+3/327680*z+1/83886080)^2, (z+1/256)^2, (z^2+1/256*z+1/65536)^2", "dm_basis": null, "q": "0 1 64 18528 -1222656 472391216 -170868209664 48439974781440 -15813492093616128 5405295327710173848", "yuk": "1 224 -181472 134973440 -54781138144 24895397492224 -11582759454476288 4976471744923893760 -2141075909353574126816 920075850420805950398720", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"-1/512*3^(1/2)","approx_re":"-0.001953125","approx_im":"-0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"1/512*3^(1/2)","approx_re":"-0.001953125","approx_im":"0.003383","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2560*(100+60*5^(1/2))^(1/3)+1/128/(100+60*5^(1/2))^(1/3)","im":"0","approx_re":"-0.00114","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":"1/5120*(100+60*5^(1/2))^(1/3)-1/256/(100+60*5^(1/2))^(1/3)","im":"1/512*3^(1/2)*(-1/10*(100+60*5^(1/2))^(1/3)-2/(100+60*5^(1/2))^(1/3))","approx_re":"0.00057","approx_im":"-0.003183","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/5120*(100+60*5^(1/2))^(1/3)-1/256/(100+60*5^(1/2))^(1/3)","im":"-1/512*3^(1/2)*(-1/10*(100+60*5^(1/2))^(1/3)-2/(100+60*5^(1/2))^(1/3))","approx_re":"0.00057","approx_im":"0.003183","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -1600*X^4-3200*X^3-3100*X^2-1500*X-300, 58880*X^4+189440*X^3+307840*X^2+236800*X+73200, -1556480*X^4-6021120*X^3-11965440*X^2-11842560*X-4561920, 32047104*X^4+131334144*X^3+266059776*X^2+289751040*X+122204160, -547356672*X^4-2283798528*X^3-4288413696*X^2-4403232768*X-1807024128, 7751073792*X^4+32916897792*X^3+58711867392*X^2+50130321408*X+16666066944, -91804925952*X^4-396210733056*X^3-746519003136*X^2-601563856896*X-168812347392, 901943132160*X^4+3917010173952*X^3+8024072650752*X^2+7528003928064*X+2663953465344, -7146825580544*X^4-30923764531200*X^3-58806692216832*X^2-51488067944448*X-16969415786496, 45079976738816*X^4+228698418577408*X^3+481311215058944*X^2+475813656920064*X+182244052303872, -175921860444160*X^4-1020346790576128*X^3-2278188092751872*X^2-2278188092751872*X-854320534781952, 17592186044416*(2*X+3)^4]", "text": "This is operator \"12.4\" from ...", "degz": 12, "h3": null, "sol": "1 12 108 688 3564 61776 1778160 33990336 430282476 3627238288", "n_discr_factors": "3", "c3": null, "operator": "4 12 0 0 0 0 25 -300 -1500 -3100 -3200 -1600 73200 236800 307840 189440 58880 -4561920 -11842560 -11965440 -6021120 -1556480 122204160 289751040 266059776 131334144 32047104 -1807024128 -4403232768 -4288413696 -2283798528 -547356672 16666066944 50130321408 58711867392 32916897792 7751073792 -168812347392 -601563856896 -746519003136 -396210733056 -91804925952 2663953465344 7528003928064 8024072650752 3917010173952 901943132160 -16969415786496 -51488067944448 -58806692216832 -30923764531200 -7146825580544 182244052303872 475813656920064 481311215058944 228698418577408 45079976738816 -854320534781952 -2278188092751872 -2278188092751872 -1020346790576128 -175921860444160 1424967069597696 3799912185593856 3799912185593856 1688849860263936 281474976710656", "new_number": "12.4", "id": 348, "operator_tex": "5^{2} \\theta^4-2^{2} 5^{2} x\\left(16\\theta^4+32\\theta^3+31\\theta^2+15\\theta+3\\right)+2^{4} 5 x^{2}\\left(736\\theta^4+2368\\theta^3+3848\\theta^2+2960\\theta+915\\right)-2^{10} 5 x^{3}\\left(304\\theta^4+1176\\theta^3+2337\\theta^2+2313\\theta+891\\right)+2^{12} 3 x^{4}\\left(2608\\theta^4+10688\\theta^3+21652\\theta^2+23580\\theta+9945\\right)-2^{16} 3 x^{5}\\left(2784\\theta^4+11616\\theta^3+21812\\theta^2+22396\\theta+9191\\right)+2^{21} 3 x^{6}\\left(1232\\theta^4+5232\\theta^3+9332\\theta^2+7968\\theta+2649\\right)-2^{25} 3^{2} x^{7}\\left(304\\theta^4+1312\\theta^3+2472\\theta^2+1992\\theta+559\\right)+2^{30} 3 x^{8}\\left(280\\theta^4+1216\\theta^3+2491\\theta^2+2337\\theta+827\\right)-2^{32} x^{9}\\left(1664\\theta^4+7200\\theta^3+13692\\theta^2+11988\\theta+3951\\right)+2^{38} x^{10}\\left(164\\theta^4+832\\theta^3+1751\\theta^2+1731\\theta+663\\right)-2^{40} x^{11}\\left(160\\theta^4+928\\theta^3+2072\\theta^2+2072\\theta+777\\right)+2^{44} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "4 -228/5", "discriminant": "12 25 -1600 58880 -1556480 32047104 -547356672 7751073792 -91804925952 901943132160 -7146825580544 45079976738816 -175921860444160 281474976710656", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "c24070a1d4a449404cd7b46398fa6d6e", "dim_h": null, "inst": " 4 -29/5 -228/5 3724/5 -31856/5 144561/5 727676/5 -24745444/5 302409672/5 -397179636", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "7", "laurent": null, "discriminant_tex": "(16z-1)^2(256z^2-16z+1)^2(4096z^3-768z^2-5)^2", "discr_factors": "281474976710656, (z-1/16)^2, (z^2-1/16*z+1/256)^2, (z^3-3/16*z^2-5/4096)^2", "dm_basis": null, "q": "0 1 -12 166 -2224 26881 -293128 2837554 -23554240 156388628", "yuk": "1 4 -212/5 -6136/5 238124/5 -796396 31218808/5 249592888/5 -12669429204/5 220456644752/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64*(28+12*5^(1/2))^(1/3)-1/16/(28+12*5^(1/2))^(1/3)+1/16","im":"-1/32*3^(1/2)*(1/2*(28+12*5^(1/2))^(1/3)-2/(28+12*5^(1/2))^(1/3))","approx_re":"-0.013312","approx_im":"-0.074322","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64*(28+12*5^(1/2))^(1/3)-1/16/(28+12*5^(1/2))^(1/3)+1/16","im":"1/32*3^(1/2)*(1/2*(28+12*5^(1/2))^(1/3)-2/(28+12*5^(1/2))^(1/3))","approx_re":"-0.013312","approx_im":"0.074322","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","im":"-1/32*3^(1/2)","approx_re":"0.03125","approx_im":"-0.054127","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32","im":"1/32*3^(1/2)","approx_re":"0.03125","approx_im":"0.054127","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32*(28+12*5^(1/2))^(1/3)+1/8/(28+12*5^(1/2))^(1/3)+1/16","im":"0","approx_re":"0.214124","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -48-256*X-592*X^2-672*X^3-432*X^4, 52736+192512*X+296448*X^2+220160*X^3+71168*X^4, -13418496-40648704*X-49020928*X^2-26836992*X^3-6045696*X^4, 1341652992+3445096448*X+3228565504*X^2+1504706560*X^3+349700096*X^4, -35399925760-72058142720*X-45164265472*X^2-51438944256*X^3-21189623808*X^4, -2660732239872-5377835925504*X-2573759152128*X^2+2966748659712*X^3+1267552223232*X^4, 168637595910144+225348344086528*X-50543175139328*X^2-167503724544000*X^3-53034256171008*X^4, -1070924325453824+2634979615965184*X+7853811557203968*X^2+3438172860055552*X^3+1774062011416576*X^4, -65917921108426752-133577468635250688*X-92869150128472064*X^2-25332747903959040*X^3-68715078689488896*X^4, 295548725546188800+408138716230451200*X+1908963292051668992*X^2+3494793310839504896*X^3+2193253018529431552*X^4, -32515989309614981120-131505109119218483200*X-200860543380724121600*X^2-138350580552821637120*X^3-36749372959343247360*X^4, 14411518807585587200*(2*X+3)^4]", "text": "This is operator \"12.12\" from ...", "degz": 12, "h3": null, "sol": "1 48 2704 179968 14147856 1298461440 135536093440 15582207209472 1918136670436624 247673397166101248", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 -48 -256 -592 -672 -432 52736 192512 296448 220160 71168 -13418496 -40648704 -49020928 -26836992 -6045696 1341652992 3445096448 3228565504 1504706560 349700096 -35399925760 -72058142720 -45164265472 -51438944256 -21189623808 -2660732239872 -5377835925504 -2573759152128 2966748659712 1267552223232 168637595910144 225348344086528 -50543175139328 -167503724544000 -53034256171008 -1070924325453824 2634979615965184 7853811557203968 3438172860055552 1774062011416576 -65917921108426752 -133577468635250688 -92869150128472064 -25332747903959040 -68715078689488896 295548725546188800 408138716230451200 1908963292051668992 3494793310839504896 2193253018529431552 -32515989309614981120 -131505109119218483200 -200860543380724121600 -138350580552821637120 -36749372959343247360 1167333023414432563200 3112888062438486835200 3112888062438486835200 1383505805528216371200 230584300921369395200", "new_number": "12.12", "id": 349, "operator_tex": "\\theta^4-2^{4} x\\left(27\\theta^4+42\\theta^3+37\\theta^2+16\\theta+3\\right)+2^{9} x^{2}\\left(139\\theta^4+430\\theta^3+579\\theta^2+376\\theta+103\\right)-2^{14} x^{3}\\left(369\\theta^4+1638\\theta^3+2992\\theta^2+2481\\theta+819\\right)+2^{19} x^{4}\\left(667\\theta^4+2870\\theta^3+6158\\theta^2+6571\\theta+2559\\right)-2^{24} x^{5}\\left(1263\\theta^4+3066\\theta^3+2692\\theta^2+4295\\theta+2110\\right)+2^{29} 3 x^{6}\\left(787\\theta^4+1842\\theta^3-1598\\theta^2-3339\\theta-1652\\right)-2^{34} x^{7}\\left(3087\\theta^4+9750\\theta^3+2942\\theta^2-13117\\theta-9816\\right)+2^{39} x^{8}\\left(3227\\theta^4+6254\\theta^3+14286\\theta^2+4793\\theta-1948\\right)-2^{44} x^{9}\\left(3906\\theta^4+1440\\theta^3+5279\\theta^2+7593\\theta+3747\\right)+2^{49} x^{10}\\left(3896\\theta^4+6208\\theta^3+3391\\theta^2+725\\theta+525\\right)-2^{54} 5 x^{11}\\left(408\\theta^4+1536\\theta^3+2230\\theta^2+1460\\theta+361\\right)+2^{59} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "48 3184", "discriminant": "12 1 -432 71168 -6045696 349700096 -21189623808 1267552223232 -53034256171008 1774062011416576 -68715078689488896 2193253018529431552 -36749372959343247360 230584300921369395200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "2b1c995b5f2826ce90fc016ad86fd66f", "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)(64z-1)^2(163840z^3+1024z^2+32z-1)^2", "discr_factors": "230584300921369395200, z-1/16, z-1/32, (z-1/64)^2, z^2-3/64*z+1/4096, (z^3+1/160*z^2+1/5120*z-1/163840)^2", "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":["0","0","1","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":"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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -700-3700*X-8260*X^2-9120*X^3-4080*X^4, 373680+1288960*X+1795264*X^2+1098752*X^3+249344*X^4, -39217920-104970240*X-105533440*X^2-45047808*X^3-7999488*X^4, 1195077632+2583101440*X+1946910720*X^2+859045888*X^3+211484672*X^4, 1676279808+4603248640*X-1555038208*X^2-18396217344*X^3-6473908224*X^4, -497591255040-657129996288*X+148478361600*X^2+579820584960*X^3+158444027904*X^4, 4787412140032-292057776128*X-12767864029184*X^2-9689446219776*X^3-2712271847424*X^4, 17072495001600+105484396789760*X+154447023964160*X^2+77790447665152*X^3+45835890982912*X^4, -372322124955648-923589767331840*X-1324911511470080*X^2-1266637395197952*X^3-811439581298688*X^4, 6627856092233728+23573529299517440*X+36626931344474112*X^2+28428972647776256*X^3+9781255440695296*X^4, -128774801845125120-396316767208603648*X-478507460408115200*X^2-270215977642229760*X^3-60798594969501696*X^4, 9007199254740992*(2*X+3)^4]", "text": "This is operator \"12.13\" from ...", "degz": 12, "h3": null, "sol": "1 28 876 30512 1161964 47586960 2068054000 94374591168 4484815106796 220444629695312", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 25 -700 -3700 -8260 -9120 -4080 373680 1288960 1795264 1098752 249344 -39217920 -104970240 -105533440 -45047808 -7999488 1195077632 2583101440 1946910720 859045888 211484672 1676279808 4603248640 -1555038208 -18396217344 -6473908224 -497591255040 -657129996288 148478361600 579820584960 158444027904 4787412140032 -292057776128 -12767864029184 -9689446219776 -2712271847424 17072495001600 105484396789760 154447023964160 77790447665152 45835890982912 -372322124955648 -923589767331840 -1324911511470080 -1266637395197952 -811439581298688 6627856092233728 23573529299517440 36626931344474112 28428972647776256 9781255440695296 -128774801845125120 -396316767208603648 -478507460408115200 -270215977642229760 -60798594969501696 729583139634020352 1945555039024054272 1945555039024054272 864691128455135232 144115188075855872", "new_number": "12.13", "id": 350, "operator_tex": "5^{2} \\theta^4-2^{2} 5 x\\left(204\\theta^4+456\\theta^3+413\\theta^2+185\\theta+35\\right)+2^{4} x^{2}\\left(15584\\theta^4+68672\\theta^3+112204\\theta^2+80560\\theta+23355\\right)-2^{8} x^{3}\\left(31248\\theta^4+175968\\theta^3+412240\\theta^2+410040\\theta+153195\\right)+2^{12} x^{4}\\left(51632\\theta^4+209728\\theta^3+475320\\theta^2+630640\\theta+291767\\right)-2^{17} x^{5}\\left(49392\\theta^4+140352\\theta^3+11864\\theta^2-35120\\theta-12789\\right)+2^{22} 3 x^{6}\\left(12592\\theta^4+46080\\theta^3+11800\\theta^2-52224\\theta-39545\\right)-2^{27} x^{7}\\left(20208\\theta^4+72192\\theta^3+95128\\theta^2+2176\\theta-35669\\right)+2^{32} x^{8}\\left(10672\\theta^4+18112\\theta^3+35960\\theta^2+24560\\theta+3975\\right)-2^{37} x^{9}\\left(5904\\theta^4+9216\\theta^3+9640\\theta^2+6720\\theta+2709\\right)+2^{42} x^{10}\\left(2224\\theta^4+6464\\theta^3+8328\\theta^2+5360\\theta+1507\\right)-2^{47} x^{11}\\left(432\\theta^4+1920\\theta^3+3400\\theta^2+2816\\theta+915\\right)+2^{53} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "92/5 -76/5", "discriminant": "12 25 -4080 249344 -7999488 211484672 -6473908224 158444027904 -2712271847424 45835890982912 -811439581298688 9781255440695296 -60798594969501696 144115188075855872", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "dba247c75acfa39c7b95fa5054ec0315", "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)(16z-1)^2(32768z^3-1024z^2-32z-5)^2", "discr_factors": "144115188075855872, z-1/64, z-1/32, z^2-3/16*z+1/256, (z-1/16)^2, (z^3-1/32*z^2-1/1024*z-5/32768)^2", "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":["0","0","1","1"],"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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -272-2560*X^4-3584*X^3-3200*X^2-1408*X, 4849664*X^3+4063232*X^4+5603328*X+1634304+6815744*X^2, -4630511616*X^3-4915724288*X^4-2273312768*X^2-1388314624-3825205248*X, 1451698946048*X^2-201863462912*X-490968449024+4054449127424*X^3+4462471020544*X^4, 588376159813632-151182848819200*X-3170991534505984*X^4-2306775395074048*X^3-3263900267053056*X^2, 1204149950368186368*X^3+1786803152159244288*X^4+20266198323167232+2563955562857365504*X^2+927600785749966848*X, -1301756465092187127808*X^2-721368573913696567296*X-166781805000411578368-754082721606915850240*X^4-791768843288752160768*X^3, 103354801201985404010496+222504627017084611592192*X^4+557774200556755712212992*X^2+398154524086946962079744*X^3+366057189398692342267904*X, -43426882176469257385148416*X^4-174737004599142612197179392*X^2-118323614594781830474366976*X^3-128183915811013649680564224*X-38830838997016375180918784, 5270916573519783201718927360*X^4+33226117226288468237624541184*X^2+8782241616590473639653015552+27070266952810776480020692992*X+19768355002338416264795389952*X^3, -3025525456013469391853459603456*X-356526731314189519170947776512*X^4-3347389866227668263327231901696*X^2-1723212534685249342659580919808*X^3-1057200793549714754763852087296, 633825300114114700748351602688*(2*X+3)^4]", "text": "This is operator \"12.16\" from ...", "degz": 12, "h3": null, "sol": "1 272 85264 30040320 11678489872 4930131546368 2225926107521280 1060372734498050048 527084515136924884240 271049118494892126241024", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 -272 -1408 -3200 -3584 -2560 1634304 5603328 6815744 4849664 4063232 -1388314624 -3825205248 -2273312768 -4630511616 -4915724288 -490968449024 -201863462912 1451698946048 4054449127424 4462471020544 588376159813632 -151182848819200 -3263900267053056 -2306775395074048 -3170991534505984 20266198323167232 927600785749966848 2563955562857365504 1204149950368186368 1786803152159244288 -166781805000411578368 -721368573913696567296 -1301756465092187127808 -791768843288752160768 -754082721606915850240 103354801201985404010496 366057189398692342267904 557774200556755712212992 398154524086946962079744 222504627017084611592192 -38830838997016375180918784 -128183915811013649680564224 -174737004599142612197179392 -118323614594781830474366976 -43426882176469257385148416 8782241616590473639653015552 27070266952810776480020692992 33226117226288468237624541184 19768355002338416264795389952 5270916573519783201718927360 -1057200793549714754763852087296 -3025525456013469391853459603456 -3347389866227668263327231901696 -1723212534685249342659580919808 -356526731314189519170947776512 51339849309243290760616479817728 136906264824648775361643946180608 136906264824648775361643946180608 60847228810955011271841753858048 10141204801825835211973625643008", "new_number": "12.16", "id": 353, "operator_tex": "\\theta^4-2^{4} x\\left(160\\theta^4+224\\theta^3+200\\theta^2+88\\theta+17\\right)+2^{12} x^{2}\\left(992\\theta^4+1184\\theta^3+1664\\theta^2+1368\\theta+399\\right)-2^{22} x^{3}\\left(1172\\theta^4+1104\\theta^3+542\\theta^2+912\\theta+331\\right)+2^{28} x^{4}\\left(16624\\theta^4+15104\\theta^3+5408\\theta^2-752\\theta-1829\\right)-2^{37} x^{5}\\left(23072\\theta^4+16784\\theta^3+23748\\theta^2+1100\\theta-4281\\right)+2^{47} x^{6}\\left(12696\\theta^4+8556\\theta^3+18218\\theta^2+6591\\theta+144\\right)-2^{52} x^{7}\\left(167440\\theta^4+175808\\theta^3+289048\\theta^2+160176\\theta+37033\\right)+2^{61} x^{8}\\left(96496\\theta^4+172672\\theta^3+241896\\theta^2+158752\\theta+44823\\right)-2^{70} x^{9}\\left(36784\\theta^4+100224\\theta^3+148008\\theta^2+108576\\theta+32891\\right)+2^{79} x^{10}\\left(8720\\theta^4+32704\\theta^3+54968\\theta^2+44784\\theta+14529\\right)-2^{91} x^{11}\\left(144\\theta^4+696\\theta^3+1352\\theta^2+1222\\theta+427\\right)+2^{99} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "288 -8252768", "discriminant": "12 1 -2560 4063232 -4915724288 4462471020544 -3170991534505984 1786803152159244288 -754082721606915850240 222504627017084611592192 -43426882176469257385148416 5270916573519783201718927360 -356526731314189519170947776512 10141204801825835211973625643008", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e5412f8624ff9afc10459abda2d297d0", "dim_h": null, "inst": " 288 59200 -8252768 -1223488576 585571467872 7905205372480 -47910168596100064 6257751239427259328 3753960547531267469056 -1241265050509255966110784", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(512z-1)(65536z^2-768z+1)(134217728z^3-655360z^2+256z-1)^2(256z-1)^3", "discr_factors": "10141204801825835211973625643008, z^2-3/256*z+1/65536, (z^3-5/1024*z^2+1/524288*z-1/134217728)^2, (z-1/256)^3, z-1/512", "dm_basis": null, "q": "0 1 -320 51296 3893248 -3585597904 128640522240 345118236566016 -68798552075272192 -30088208380065850728", "yuk": "1 288 473888 -222824448 -78302794976 73196433484288 1707524138104832 -16433187828462321664 3203968634508453980960 2736637239150293762117376", "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":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"-1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"-0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/6144*(188+3*3165^(1/2))^(1/3)-19/6144/(188+3*3165^(1/2))^(1/3)+5/3072","im":"1/512*3^(1/2)*(1/12*(188+3*3165^(1/2))^(1/3)-19/12/(188+3*3165^(1/2))^(1/3))","approx_re":"3.7e-05","approx_im":"0.001244","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512-1/512*5^(1/2)","im":"0","approx_re":"0.001492","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"0","approx_re":"0.001953125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(188+3*3165^(1/2))^(1/3)+19/3072/(188+3*3165^(1/2))^(1/3)+5/3072","im":"0","approx_re":"0.004808","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"3/512+1/512*5^(1/2)","im":"0","approx_re":"0.010227","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 8+32*X+44*X^2+24*X^3+96*X^4, -160+3344*X^4+32*X^3+368*X^2, 28544*X^4-155904*X^3-284800*X^2-267264*X-99328, -7036928-9865216*X^3-19801088*X^2-18862080*X-1442816*X^4, -53469184*X^4-293748736*X^3-641900544*X^2-642482176*X-249151488, -5247598592-12833783808*X-11946295296*X^2-4941938688*X^3-822607872*X^4, -46409973760*X^3-129895497728*X^2-153933053952*X-67398270976-6129975296*X^4, -1009686413312*X-491354324992-183341416448*X^3-717477642240*X^2-10099884032*X^4, -1469080141824+157840048128*X^4+496068722688*X^3-471372660736*X^2-2145336164352*X, 13258564042752*X^2+10617159155712*X+2638720532480+850403524608*X^4+6390911336448*X^3, 35596688949248*X+15427522527232+6047313952768*X^3+26938034880512*X^2-549755813888*X^4, -549755813888*(2*X+3)^4]", "text": "This is operator \"12.17\" from ...", "degz": 12, "h3": null, "sol": "1 -8 112 -1152 19216 -193664 3997440 -32147456 967568656 -3759626368", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 8 32 44 24 96 -160 0 368 32 3344 -99328 -267264 -284800 -155904 28544 -7036928 -18862080 -19801088 -9865216 -1442816 -249151488 -642482176 -641900544 -293748736 -53469184 -5247598592 -12833783808 -11946295296 -4941938688 -822607872 -67398270976 -153933053952 -129895497728 -46409973760 -6129975296 -491354324992 -1009686413312 -717477642240 -183341416448 -10099884032 -1469080141824 -2145336164352 -471372660736 496068722688 157840048128 2638720532480 10617159155712 13258564042752 6390911336448 850403524608 15427522527232 35596688949248 26938034880512 6047313952768 -549755813888 -44530220924928 -118747255799808 -118747255799808 -52776558133248 -8796093022208", "new_number": "12.17", "id": 354, "operator_tex": "\\theta^4+2^{2} x\\left(24\\theta^4+6\\theta^3+11\\theta^2+8\\theta+2\\right)+2^{4} x^{2}\\left(209\\theta^4+2\\theta^3+23\\theta^2-10\\right)+2^{7} x^{3}\\left(223\\theta^4-1218\\theta^3-2225\\theta^2-2088\\theta-776\\right)-2^{10} x^{4}\\left(1409\\theta^4+9634\\theta^3+19337\\theta^2+18420\\theta+6872\\right)-2^{13} x^{5}\\left(6527\\theta^4+35858\\theta^3+78357\\theta^2+78428\\theta+30414\\right)-2^{17} x^{6}\\left(6276\\theta^4+37704\\theta^3+91143\\theta^2+97914\\theta+40036\\right)-2^{21} x^{7}\\left(2923\\theta^4+22130\\theta^3+61939\\theta^2+73401\\theta+32138\\right)-2^{24} x^{8}\\left(602\\theta^4+10928\\theta^3+42765\\theta^2+60182\\theta+29287\\right)+2^{26} x^{9}\\left(2352\\theta^4+7392\\theta^3-7024\\theta^2-31968\\theta-21891\\right)+2^{29} x^{10}\\left(1584\\theta^4+11904\\theta^3+24696\\theta^2+19776\\theta+4915\\right)-2^{35} x^{11}\\left(16\\theta^4-176\\theta^3-784\\theta^2-1036\\theta-449\\right)-2^{39} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "4 52", "discriminant": "12 1 96 3344 28544 -1442816 -53469184 -822607872 -6129975296 -10099884032 157840048128 850403524608 -549755813888 -8796093022208", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e65be092d4832d3740d2a3078755f447", "dim_h": null, "inst": " 4 7/2 52 500 2796 108891/2 523876 8014175 112614496 3281174301/2", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(8z+1)(256z^2+16z-1)(1024z^3-160z^2-28z-1)^2(16z+1)^3", "discr_factors": "-8796093022208, (z^3-5/32*z^2-7/256*z-1/1024)^2, (z+1/16)^3, z^2+1/16*z-1/256, z+1/8", "dm_basis": null, "q": "0 1 0 -64 -256 -336 -3584 -161792 -3244032 -45146984", "yuk": "1 4 32 1408 32032 349504 11761664 179689472 4103289632 82095968992", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.101127","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","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(1187+6*3165^(1/2))^(1/3)-109/192/(1187+6*3165^(1/2))^(1/3)+5/96","im":"-1/8*3^(1/2)*(1/24*(1187+6*3165^(1/2))^(1/3)-109/24/(1187+6*3165^(1/2))^(1/3))","approx_re":"-0.057187","approx_im":"-0.018391","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/192*(1187+6*3165^(1/2))^(1/3)-109/192/(1187+6*3165^(1/2))^(1/3)+5/96","im":"1/8*3^(1/2)*(1/24*(1187+6*3165^(1/2))^(1/3)-109/24/(1187+6*3165^(1/2))^(1/3))","approx_re":"-0.057187","approx_im":"0.018391","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/96*(1187+6*3165^(1/2))^(1/3)+109/96/(1187+6*3165^(1/2))^(1/3)+5/96","im":"0","approx_re":"0.270624","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 32*X*(4*X^3-10*X^2-6*X-1), -23552*X^4-63488*X^3-51200*X^2-58368*X-22784, -1376256*X^4-5505024*X^3-10878976*X^2-2162688*X+835584, 247463936*X^4+343932928*X^3+2340421632*X^2+1935671296*X+672923648, -11811160064*X^4+97710505984*X^3+233337520128*X^2+255953207296*X+116836532224, -927712935936*X^4-5153960755200*X^3-2473901162496*X^2-5643587026944*X-2993592205312, 125344325566464*X^4+171523813933056*X^3-847998342922240*X^2-1536567499816960*X-849097854550016, -1548112371908608*X^4+31806672368304128*X^3+21145807625388032*X^2+2533274790395904*X-9033587533807616, -234187180623265792*X^4-2053641430080946176*X^3-2905947659560812544*X^2-1614540466412322816*X-82190693199511552, 17582052945254416384*X^4-6341068275337658368*X^3-103474705038464516096*X^2-144835764016235151360*X-59087227111100907520, -92233720368547758080*X^4+737869762948382064640*X^3+3343472363359856230400*X^2+4381101717506018508800*X+1890791267555229040640, -1844674407370955161600*(2*X+3)^4]", "text": "This is operator \"12.2\" from ...", "degz": 12, "h3": null, "sol": "1 0 1424 13312 4213008 100583424 16977541376 697797427200 85437487152400 4947452599603200", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 0 -32 -192 -320 128 -22784 -58368 -51200 -63488 -23552 835584 -2162688 -10878976 -5505024 -1376256 672923648 1935671296 2340421632 343932928 247463936 116836532224 255953207296 233337520128 97710505984 -11811160064 -2993592205312 -5643587026944 -2473901162496 -5153960755200 -927712935936 -849097854550016 -1536567499816960 -847998342922240 171523813933056 125344325566464 -9033587533807616 2533274790395904 21145807625388032 31806672368304128 -1548112371908608 -82190693199511552 -1614540466412322816 -2905947659560812544 -2053641430080946176 -234187180623265792 -59087227111100907520 -144835764016235151360 -103474705038464516096 -6341068275337658368 17582052945254416384 1890791267555229040640 4381101717506018508800 3343472363359856230400 737869762948382064640 -92233720368547758080 -149418626997047368089600 -398449671992126314905600 -398449671992126314905600 -177088743107611695513600 -29514790517935282585600", "new_number": "12.2", "id": 356, "operator_tex": "\\theta^4+2^{5} x\\theta(4\\theta^3-10\\theta^2-6\\theta-1)-2^{8} x^{2}\\left(92\\theta^4+248\\theta^3+200\\theta^2+228\\theta+89\\right)-2^{14} x^{3}\\left(84\\theta^4+336\\theta^3+664\\theta^2+132\\theta-51\\right)+2^{18} x^{4}\\left(944\\theta^4+1312\\theta^3+8928\\theta^2+7384\\theta+2567\\right)-2^{26} x^{5}\\left(176\\theta^4-1456\\theta^3-3477\\theta^2-3814\\theta-1741\\right)-2^{32} x^{6}\\left(216\\theta^4+1200\\theta^3+576\\theta^2+1314\\theta+697\\right)+2^{38} x^{7}\\left(456\\theta^4+624\\theta^3-3085\\theta^2-5590\\theta-3089\\right)-2^{43} x^{8}\\left(176\\theta^4-3616\\theta^3-2404\\theta^2-288\\theta+1027\\right)-2^{50} x^{9}\\left(208\\theta^4+1824\\theta^3+2581\\theta^2+1434\\theta+73\\right)+2^{57} x^{10}\\left(122\\theta^4-44\\theta^3-718\\theta^2-1005\\theta-410\\right)-2^{62} 5 x^{11}\\left(4\\theta^4-32\\theta^3-145\\theta^2-190\\theta-82\\right)-2^{66} 5^{2} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "64 39744", "discriminant": "12 1 128 -23552 -1376256 247463936 -11811160064 -927712935936 125344325566464 -1548112371908608 -234187180623265792 17582052945254416384 -92233720368547758080 -29514790517935282585600", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "b92032007ecbbf3af5801c4b1e4cf97a", "dim_h": null, "inst": " 64 -692 39744 -2001358 95440576 -5132789668 318422804032 -20259691862710 1306803344834048 -87030663571111804", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1+64z+4096z^2)(64z-1)^2(64z+1)^2(655360z^3-4096z^2+96z+1)^2", "discr_factors": "-29514790517935282585600, (z+1/64)^2, (z-1/64)^2, -1/4096+1/64*z+z^2, (z^3-1/160*z^2+3/20480*z+1/655360)^2", "dm_basis": null, "q": "0 1 -32 -96 34816 -330448 -52472832 1797613056 -2692546560 1991246120600", "yuk": "1 64 -5472 1073152 -128092384 11930072064 -1108681500672 109219021783040 -10372962361799904 952659638385094144", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128-1/128*5^(1/2)","im":"0","approx_re":"-0.025282","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","0","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/960*(802+15*3165^(1/2))^(1/3)+41/960/(802+15*3165^(1/2))^(1/3)+1/480","im":"0","approx_re":"-0.006598","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":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"-0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1920*(802+15*3165^(1/2))^(1/3)-41/1920/(802+15*3165^(1/2))^(1/3)+1/480","im":"-1/64*3^(1/2)*(-1/30*(802+15*3165^(1/2))^(1/3)-41/30/(802+15*3165^(1/2))^(1/3))","approx_re":"0.006424","approx_im":"0.013784","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128+1/128*5^(1/2)","im":"0","approx_re":"0.009657","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, 80*X^4+1120*X^3+1060*X^2+500*X+100, -15616*X^4-99328*X^3-144256*X^2-101760*X-31760, 212992*X^4-589824*X^3-2886656*X^2-3271680*X-1406720, 1441792*X^4+38273024*X^3+133070848*X^2+162693120*X+74915840, -119537664*X^4-553648128*X^3-68943872*X^2+451149824*X+378208256, 905969664*X^4+402653184*X^3-8002732032*X^2-20006830080*X-12308185088, 11811160064*X^4+168577466368*X^3+365810417664*X^2+374937223168*X+131650813952, -253403070464*X^4-1168231104512*X^3-4232690270208*X^2-6251324899328*X-3202434990080, 1443109011456*X^4+2886218022912*X^3+4913442586624*X^2+12472585027584*X+9212704849920, 25288767438848*X^4+83562883710976*X^3+89610197663744*X^2-16492674416640*X-47897475284992, -17592186044416*(2*X+3)*(4*X^3+28*X^2+51*X+28), -70368744177664*(2*X+3)^4]", "text": "This is operator \"12.3\" from ...", "degz": 12, "h3": null, "sol": "1 -4 108 -912 21484 -254064 5580272 -82631232 1766989548 -30747656496", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 25 100 500 1060 1120 80 -31760 -101760 -144256 -99328 -15616 -1406720 -3271680 -2886656 -589824 212992 74915840 162693120 133070848 38273024 1441792 378208256 451149824 -68943872 -553648128 -119537664 -12308185088 -20006830080 -8002732032 402653184 905969664 131650813952 374937223168 365810417664 168577466368 11811160064 -3202434990080 -6251324899328 -4232690270208 -1168231104512 -253403070464 9212704849920 12472585027584 4913442586624 2886218022912 1443109011456 -47897475284992 -16492674416640 89610197663744 83562883710976 25288767438848 -1477743627730944 -3676766883282944 -3272146604261376 -1196268651020288 -140737488355328 -5699868278390784 -15199648742375424 -15199648742375424 -6755399441055744 -1125899906842624", "new_number": "12.3", "id": 357, "operator_tex": "5^{2} \\theta^4+2^{2} 5 x\\left(4\\theta^4+56\\theta^3+53\\theta^2+25\\theta+5\\right)-2^{4} x^{2}\\left(976\\theta^4+6208\\theta^3+9016\\theta^2+6360\\theta+1985\\right)+2^{8} x^{3}\\left(832\\theta^4-2304\\theta^3-11276\\theta^2-12780\\theta-5495\\right)+2^{13} x^{4}\\left(176\\theta^4+4672\\theta^3+16244\\theta^2+19860\\theta+9145\\right)-2^{16} x^{5}\\left(1824\\theta^4+8448\\theta^3+1052\\theta^2-6884\\theta-5771\\right)+2^{21} x^{6}\\left(432\\theta^4+192\\theta^3-3816\\theta^2-9540\\theta-5869\\right)+2^{24} x^{7}\\left(704\\theta^4+10048\\theta^3+21804\\theta^2+22348\\theta+7847\\right)-2^{29} x^{8}\\left(472\\theta^4+2176\\theta^3+7884\\theta^2+11644\\theta+5965\\right)+2^{32} x^{9}\\left(336\\theta^4+672\\theta^3+1144\\theta^2+2904\\theta+2145\\right)+2^{36} x^{10}\\left(368\\theta^4+1216\\theta^3+1304\\theta^2-240\\theta-697\\right)-2^{44} x^{11}(2\\theta+3)(4\\theta^3+28\\theta^2+51\\theta+28)-2^{46} x^{12}\\left((2\\theta+3)^4\\right)", "superseek": "-12/5 444/5", "discriminant": "12 25 80 -15616 212992 1441792 -119537664 905969664 11811160064 -253403070464 1443109011456 25288767438848 -140737488355328 -1125899906842624", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "45726409a4c817f929c9e6e49b33a941", "dim_h": null, "inst": " -12/5 103/5 444/5 1148/5 -6704 -282147/5 -102292 6992044 315076744/5 41866252/5", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "-(-1-16z+256z^2)(16z+1)^2(16z-1)^2(8192z^3+768z^2-32z+5)^2", "discr_factors": "-1125899906842624, -1/256-1/16*z+z^2, (z-1/16)^2, (z+1/16)^2, (z^3+3/32*z^2-1/256*z+5/8192)^2", "dm_basis": null, "q": "0 1 4 -90 -1008 4865 179032 687410 -19539392 -279357676", "yuk": "1 -12/5 812/5 11976/5 74284/5 -4190012/5 -60930952/5 -175430792/5 17899706924/5 229690958352/5", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/96*(351+6*3165^(1/2))^(1/3)-7/32/(351+6*3165^(1/2))^(1/3)-1/32","im":"0","approx_re":"-0.148005","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","1","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32-1/32*5^(1/2)","im":"0","approx_re":"-0.038627","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":"1/192*(351+6*3165^(1/2))^(1/3)+7/64/(351+6*3165^(1/2))^(1/3)-1/32","im":"1/32*3^(1/2)*(-1/6*(351+6*3165^(1/2))^(1/3)+7/2/(351+6*3165^(1/2))^(1/3))","approx_re":"0.027128","approx_im":"-0.058206","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/192*(351+6*3165^(1/2))^(1/3)+7/64/(351+6*3165^(1/2))^(1/3)-1/32","im":"-1/32*3^(1/2)*(-1/6*(351+6*3165^(1/2))^(1/3)+7/2/(351+6*3165^(1/2))^(1/3))","approx_re":"0.027128","approx_im":"0.058206","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/32+1/32*5^(1/2)","im":"0","approx_re":"0.101127","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -64-352*X-896*X^2-1088*X^3-128*X^4, 89856+320512*X+536576*X^2+223232*X^3-97280*X^4, -28295168-78446592*X-100597760*X^2+45219840*X^3+25755648*X^4, 4397465600+8992587776*X+8074035200*X^2-18865979392*X^3+29360128*X^4, -592873259008-1003143299072*X-717393756160*X^2+2214592512000*X^3-865435910144*X^4, 73292543164416+141527762337792*X+137705241444352*X^2-79714593013760*X^3+158037616623616*X^4, -4239098361413632-9296370812846080*X-12437125777588224*X^2-3580009860038656*X^3-14077047370416128*X^4, -293116605825548288-711990953589604352*X-343293918470733824*X^2+66428094503714816*X^3+657595914340270080*X^4, 70349040929294254080+177504875713180729344*X+157873684937472737280*X^2+56673297710830321664*X^3-8673932882315575296*X^4, -5505848702844035661824-14295073735620295655424*X-13763000461244235776000*X^2-5833782813310645698560*X^3-739022684452988911616*X^4, 229781867554163029704704+606676519096159733547008*X+600257052158508809584640*X^2+266223410471776248922112*X^3+45010055539851305943040*X^4, -5147379466327913282928640-13694862800321971119718400*X-13675973334390492538863616*X^2-6120186961799060196950016*X^3-1057810092162800527867904*X^4, 604462909807314587353088*(2*X+3)^4]", "text": "This is operator \"13.4\" from ...", "degz": 13, "h3": null, "sol": "1 64 4496 339968 27330832 2317638656 205965326592 19066067124224 1827921280793872 180556456063955968", "n_discr_factors": "4", "c3": null, "operator": "4 13 0 0 0 0 1 -64 -352 -896 -1088 -128 89856 320512 536576 223232 -97280 -28295168 -78446592 -100597760 45219840 25755648 4397465600 8992587776 8074035200 -18865979392 29360128 -592873259008 -1003143299072 -717393756160 2214592512000 -865435910144 73292543164416 141527762337792 137705241444352 -79714593013760 158037616623616 -4239098361413632 -9296370812846080 -12437125777588224 -3580009860038656 -14077047370416128 -293116605825548288 -711990953589604352 -343293918470733824 66428094503714816 657595914340270080 70349040929294254080 177504875713180729344 157873684937472737280 56673297710830321664 -8673932882315575296 -5505848702844035661824 -14295073735620295655424 -13763000461244235776000 -5833782813310645698560 -739022684452988911616 229781867554163029704704 606676519096159733547008 600257052158508809584640 266223410471776248922112 45010055539851305943040 -5147379466327913282928640 -13694862800321971119718400 -13675973334390492538863616 -6120186961799060196950016 -1057810092162800527867904 48961495694392481575600128 130563988518379950868267008 130563988518379950868267008 58028439341502200385896448 9671406556917033397649408", "new_number": "13.4", "id": 372, "operator_tex": "\\theta^4-2^{5} x\\left(4\\theta^4+34\\theta^3+28\\theta^2+11\\theta+2\\right)-2^{8} x^{2}\\left(380\\theta^4-872\\theta^3-2096\\theta^2-1252\\theta-351\\right)+2^{14} x^{3}\\left(1572\\theta^4+2760\\theta^3-6140\\theta^2-4788\\theta-1727\\right)+2^{18} x^{4}\\left(112\\theta^4-71968\\theta^3+30800\\theta^2+34304\\theta+16775\\right)-2^{25} x^{5}\\left(25792\\theta^4-66000\\theta^3+21380\\theta^2+29896\\theta+17669\\right)+2^{30} x^{6}\\left(147184\\theta^4-74240\\theta^3+128248\\theta^2+131808\\theta+68259\\right)-2^{36} x^{7}\\left(204848\\theta^4+52096\\theta^3+180984\\theta^2+135280\\theta+61687\\right)+2^{42} x^{8}\\left(149520\\theta^4+15104\\theta^3-78056\\theta^2-161888\\theta-66647\\right)-2^{49} x^{9}\\left(15408\\theta^4-100672\\theta^3-280440\\theta^2-315312\\theta-124965\\right)-2^{56} x^{10}\\left(10256\\theta^4+80960\\theta^3+191000\\theta^2+198384\\theta+76409\\right)+2^{63} x^{11}\\left(4880\\theta^4+28864\\theta^3+65080\\theta^2+65776\\theta+24913\\right)-2^{73} x^{12}\\left(112\\theta^4+648\\theta^3+1448\\theta^2+1450\\theta+545\\right)+2^{79} x^{13}\\left((2\\theta+3)^4\\right)", "superseek": "128 341632", "discriminant": "13 1 -128 -97280 25755648 29360128 -865435910144 158037616623616 -14077047370416128 657595914340270080 -8673932882315575296 -739022684452988911616 45010055539851305943040 -1057810092162800527867904 9671406556917033397649408", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "e2189010cb583bd9f4eab25b75b409cf", "dim_h": null, "inst": " 128 -4796 341632 -31623118 3395329408 -401210837772 50698611117184 -6731675325438646 928482366744558592 -131982672382526142804", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(128z-1)(4096z^2+64z-1)(1048576z^3-28672z^2+160z+1)^2(64z-1)^4", "discr_factors": "9671406556917033397649408, z^2+1/64*z-1/4096, (z^3-7/256*z^2+5/32768*z+1/1048576)^2, z-1/128, (z-1/64)^4", "dm_basis": null, "q": "0 1 -96 10144 -1202176 155317552 -21353407488 3071377401344 -456943281307648 69770730097903256", "yuk": "1 128 -38240 9224192 -2023917792 424416176128 -86661531772928 17389623613194240 -3446617768648504544 676863645356792437760", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/128-1/128*5^(1/2)","im":"0","approx_re":"-0.025282","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/768*(188+3*3165^(1/2))^(1/3)-19/768/(188+3*3165^(1/2))^(1/3)+7/768","im":"0","approx_re":"-0.003609","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":"1/128","im":"0","approx_re":"0.0078125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128+1/128*5^(1/2)","im":"0","approx_re":"0.009657","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(188+3*3165^(1/2))^(1/3)+19/1536/(188+3*3165^(1/2))^(1/3)+7/768","im":"1/64*3^(1/2)*(-1/24*(188+3*3165^(1/2))^(1/3)+19/24/(188+3*3165^(1/2))^(1/3))","approx_re":"0.015476","approx_im":"-0.004977","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/1536*(188+3*3165^(1/2))^(1/3)+19/1536/(188+3*3165^(1/2))^(1/3)+7/768","im":"-1/64*3^(1/2)*(-1/24*(188+3*3165^(1/2))^(1/3)+19/24/(188+3*3165^(1/2))^(1/3))","approx_re":"0.015476","approx_im":"0.004977","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64","im":"0","approx_re":"0.015625","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 98-336*X^3-840*X^4+126*X^2+294*X, -31108-25968*X^4-186660*X^2-120768*X^3-123144*X, 58112*X^4-440832*X^3-1217328-2142720*X^2-2782080*X, 61952+7815168*X^2+3895296*X+5259264*X^3+909312*X^4, 17874944+42074112*X+7864320*X^3+33030144*X^2-786432*X^4, -524288*(2*X+3)^4]", "text": "This is operator \"6.36\" from ...", "degz": 6, "h3": null, "sol": "1 -2 38 204 7462 129284 3308860 75931544 1941436582 49216354516", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 49 98 294 126 -336 -840 -31108 -123144 -186660 -120768 -25968 -1217328 -2782080 -2142720 -440832 58112 61952 3895296 7815168 5259264 909312 17874944 42074112 33030144 7864320 -786432 -42467328 -113246208 -113246208 -50331648 -8388608", "new_number": "6.36", "id": 421, "operator_tex": "7^{2} \\theta^4-2 7 x\\left(60\\theta^4+24\\theta^3-9\\theta^2-21\\theta-7\\right)-2^{2} x^{2}\\left(6492\\theta^4+30192\\theta^3+46665\\theta^2+30786\\theta+7777\\right)+2^{4} x^{3}\\left(3632\\theta^4-27552\\theta^3-133920\\theta^2-173880\\theta-76083\\right)+2^{9} x^{4}\\left(1776\\theta^4+10272\\theta^3+15264\\theta^2+7608\\theta+121\\right)-2^{14} x^{5}\\left(48\\theta^4-480\\theta^3-2016\\theta^2-2568\\theta-1091\\right)-2^{19} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "10/7 508/7", "discriminant": "6 49 -840 -25968 58112 909312 -786432 -8388608", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "b890cacbc73012eb6554263c3ea04707", "dim_h": null, "inst": " 10/7 100/7 508/7 808 59910/7 855864/7 12382494/7 200115472/7 3327848026/7 58373507100/7", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(16z+1)(32z-1)(4z+1)^2(32z-7)^2", "discr_factors": "-8388608, z+1/16, (z+1/4)^2, z-1/32, (z-7/32)^2", "dm_basis": null, "q": "0 1 -2 -71 -236 -580 -16018 -462550 -8253320 -151220156", "yuk": "1 10/7 810/7 13726/7 362794/7 7488760/7 184881150/7 4247195452/7 102459484458/7 2426001224680/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"1/32","im":"0","approx_re":"0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"7/32","im":"0","approx_re":"0.21875","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":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -176-816*X-1536*X^3-1584*X^2-96*X^4, 167936+446976*X^2+459264*X-24576*X^3-113664*X^4, 7438336*X^4+101056512*X^3+80068608*X^2+14598144*X-10665984, -1278214144+3403677696*X^4+4592762880*X^3-816316416*X^2-3641180160*X, -426543939584-631360192512*X^3-1302180397056*X^2-1206348939264*X-112742891520*X^4, -420906795008*(2*X+3)^4]", "text": "This is operator \"6.37\" from ...", "degz": 6, "h3": null, "sol": "1 176 35792 7805184 1768710928 410452182784 96794298848512 23091883451994112 5557157418591276304 1346475308960917484288", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -176 -816 -1584 -1536 -96 167936 459264 446976 -24576 -113664 -10665984 14598144 80068608 101056512 7438336 -1278214144 -3641180160 -816316416 4592762880 3403677696 -426543939584 -1206348939264 -1302180397056 -631360192512 -112742891520 -34093450395648 -90915867721728 -90915867721728 -40407052320768 -6734508720128", "new_number": "6.37", "id": 422, "operator_tex": "\\theta^4-2^{4} x\\left(6\\theta^4+96\\theta^3+99\\theta^2+51\\theta+11\\right)-2^{9} x^{2}\\left(222\\theta^4+48\\theta^3-873\\theta^2-897\\theta-328\\right)+2^{14} x^{3}\\left(454\\theta^4+6168\\theta^3+4887\\theta^2+891\\theta-651\\right)+2^{19} x^{4}\\left(6492\\theta^4+8760\\theta^3-1557\\theta^2-6945\\theta-2438\\right)-2^{28} 7 x^{5}\\left(60\\theta^4+336\\theta^3+693\\theta^2+642\\theta+227\\right)-2^{33} 7^{2} x^{6}\\left((2\\theta+3)^4\\right)", "superseek": "80 249872", "discriminant": "6 1 -96 -113664 7438336 3403677696 -112742891520 -6734508720128", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0c2998041752cbd976fcc2e18f2072ad", "dim_h": null, "inst": " 80 -4222 249872 -22251117 2195810928 -242075518566 28398707449808 -3506021022953923 449382234721506176 -59370368014417899530", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "-(32z+1)(64z-1)(224z+1)^2(256z-1)^2", "discr_factors": "-6734508720128, z-1/64, (z-1/256)^2, (z+1/224)^2, z+1/32", "dm_basis": null, "q": "0 1 -112 10624 -1182720 141298608 -18027074048 2404776557568 -332011071045632 47052345138815128", "yuk": "1 80 -33696 6746624 -1424105184 274476366080 -52288305297408 9740756655284224 -1795082765176513760 327599649111984748928", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/32","im":"0","approx_re":"-0.03125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/224","im":"0","approx_re":"-0.00446428571429","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":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["3/2","3/2","3/2","3/2"],"monodromy":[],"monodromy_dm":[]}]}]}