{"count": 2, "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 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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": "[X^4, -1280*X^4-2560*X^3-2432*X^2-1152*X-240, 393216*X^4+3932160*X^3+5816320*X^2+3768320*X+1130496, 436207616*X^4-2516582400*X^3-6517948416*X^2-5058330624*X-1859125248, -493921239040*X^4+146028888064*X^3+4114578669568*X^2+4041564225536*X+1751541350400, 194613558116352*X^4+857619069665280*X^3-1343328331235328*X^2-1853776604430336*X-996157534765056, 3377699720527872*X^4-638385247179767808*X^3+81064793292668928*X^2+401524054277750784*X+331858997541863424, -42369865294301626368*X^4+214875745421101105152*X^3+115598395235345891328*X^2+19995982345525002240*X-53529785170925715456, 24128341248412093513728*X^4-23021536603989520416768*X^3-32055829514088773320704*X^2-27365744833348119822336*X-190232048260129751040, -7886352026392307506872320*X^4-10455319393073394503122944*X^3-9913427839164102714851328*X^2-3612610359395278588477440*X-1200661678269607295582208, 1713047886393929540558651392*X^4+5428076930069684994430730240*X^3+8543176535761680720354869248*X^2+6805647901520554939008417792*X+2303230359957046320785522688, -249754402925825470460898312192*X^4-1210705358421101908851343491072*X^3-2482379263777008796241468850176*X^2-2451430762794874289368990744576*X-961473211449349958193918246912, 69324642199981295394350956544*(2*X+3)*(164*X^3+810*X^2+1434*X+891), -248459517644732962693353828253696*(X+2)^2*(2*X+3)*(2*X+5)]", "text": "This is operator \"13.5\" from ...", "degz": 13, "h3": null, "sol": "1 240 44304 7503616 1459723536 367730839296 100944978993408 25446669435924480 5685941956548042000 1199414755279751683840", "n_discr_factors": "3", "c3": null, "operator": "4 13 0 0 0 0 1 -240 -1152 -2432 -2560 -1280 1130496 3768320 5816320 3932160 393216 -1859125248 -5058330624 -6517948416 -2516582400 436207616 1751541350400 4041564225536 4114578669568 146028888064 -493921239040 -996157534765056 -1853776604430336 -1343328331235328 857619069665280 194613558116352 331858997541863424 401524054277750784 81064793292668928 -638385247179767808 3377699720527872 -53529785170925715456 19995982345525002240 115598395235345891328 214875745421101105152 -42369865294301626368 -190232048260129751040 -27365744833348119822336 -32055829514088773320704 -23021536603989520416768 24128341248412093513728 -1200661678269607295582208 -3612610359395278588477440 -9913427839164102714851328 -10455319393073394503122944 -7886352026392307506872320 2303230359957046320785522688 6805647901520554939008417792 8543176535761680720354869248 5428076930069684994430730240 1713047886393929540558651392 -961473211449349958193918246912 -2451430762794874289368990744576 -2482379263777008796241468850176 -1210705358421101908851343491072 -249754402925825470460898312192 185304768600550002589100106842112 421771123144686201179231219613696 367281954375500902999271367770112 146413644326360495872869220220928 22738482641593864889347113746432 -14907571058683977761601229695221760 -30808980187946887373975874703458304 -23603654176249631455868613684101120 -7950704564631454806187322504118272 -993838070578931850773415313014784", "new_number": "13.5", "id": 373, "operator_tex": "\\theta^4-2^{4} x\\left(80\\theta^4+160\\theta^3+152\\theta^2+72\\theta+15\\right)+2^{14} x^{2}\\left(24\\theta^4+240\\theta^3+355\\theta^2+230\\theta+69\\right)+2^{20} x^{3}\\left(416\\theta^4-2400\\theta^3-6216\\theta^2-4824\\theta-1773\\right)-2^{28} x^{4}\\left(1840\\theta^4-544\\theta^3-15328\\theta^2-15056\\theta-6525\\right)+2^{38} 3 x^{5}\\left(236\\theta^4+1040\\theta^3-1629\\theta^2-2248\\theta-1208\\right)+2^{47} 3 x^{6}\\left(8\\theta^4-1512\\theta^3+192\\theta^2+951\\theta+786\\right)-2^{53} 3 x^{7}\\left(1568\\theta^4-7952\\theta^3-4278\\theta^2-740\\theta+1981\\right)+2^{60} 3 x^{8}\\left(6976\\theta^4-6656\\theta^3-9268\\theta^2-7912\\theta-55\\right)-2^{70} x^{9}\\left(6680\\theta^4+8856\\theta^3+8397\\theta^2+3060\\theta+1017\\right)+2^{76} x^{10}\\left(22672\\theta^4+71840\\theta^3+113068\\theta^2+90072\\theta+30483\\right)-2^{84} x^{11}\\left(12912\\theta^4+62592\\theta^3+128336\\theta^2+126736\\theta+49707\\right)+2^{93} 7 x^{12}(2\\theta+3)(164\\theta^3+810\\theta^2+1434\\theta+891)-2^{102} 7^{2} x^{13}(\\theta+2)^2(2\\theta+3)(2\\theta+5)", "superseek": "224 4999008", "discriminant": "13 1 -1280 393216 436207616 -493921239040 194613558116352 3377699720527872 -42369865294301626368 24128341248412093513728 -7886352026392307506872320 1713047886393929540558651392 -249754402925825470460898312192 22738482641593864889347113746432 -993838070578931850773415313014784", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "6d924b9c12ee7379761d409ee75e42ab", "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": "-(65536z^2-256z+1)^2(117440512z^3-196608z^2+1)^2(256z-1)^3", "discr_factors": "-993838070578931850773415313014784, (z^3-3/1792*z^2+1/117440512)^2, (z-1/256)^3, (z^2-1/256*z+1/65536)^2", "dm_basis": null, "q": "0 1 -192 51296 -15951872 4939324976 -1598313617408 535361648681472 -182102770349637632 62981390560055417496", "yuk": "1 224 -181472 134973440 -54781138144 24895397492224 -11582759454476288 4976471744923893760 -2141075909353574126816 920075850420805950398720", "gv2": null, "gv0": null, "gv1": null, 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