{"count": 2, "status":"OK", "data":[{"pols": "[X^4, -4928*X-1360-6464*X^2-3072*X^3-1536*X^4, -262144*X-651264+1703936*X^2+1835008*X^3+458752*X^4, 3251634176+3615490048*X^2+5410652160*X+1207959552*X^3+201326592*X^4, -1545382920192-2714419331072*X-1846835937280*X^2-584115552256*X^3-73014444032*X^4, -259759622062080*X^2-474164389478400*X-335625924378624-65970697666560*X^3-6597069766656*X^4, 2533274790395904*(X+3)^4]", "text": "This is operator \"6.33\" from ...", "degz": 6, "h3": null, "sol": "1 1360 1516304 1522167040 1444349938960 1320519296632064 1176435721504129280 1028122237568411488256 885307276490857727434000 753420342756902018230969600", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 -1360 -4928 -6464 -3072 -1536 -651264 -262144 1703936 1835008 458752 3251634176 5410652160 3615490048 1207959552 201326592 -1545382920192 -2714419331072 -1846835937280 -584115552256 -73014444032 -335625924378624 -474164389478400 -259759622062080 -65970697666560 -6597069766656 205195258022068224 273593677362757632 136796838681378816 30399297484750848 2533274790395904", "new_number": "6.33", "id": 418, "operator_tex": "\\theta^4-2^{4} x\\left(96\\theta^4+192\\theta^3+404\\theta^2+308\\theta+85\\right)+2^{12} x^{2}\\left(112\\theta^4+448\\theta^3+416\\theta^2-64\\theta-159\\right)+2^{20} x^{3}\\left(192\\theta^4+1152\\theta^3+3448\\theta^2+5160\\theta+3101\\right)-2^{28} x^{4}\\left(272\\theta^4+2176\\theta^3+6880\\theta^2+10112\\theta+5757\\right)-2^{38} 3 x^{5}\\left(8\\theta^4+80\\theta^3+315\\theta^2+575\\theta+407\\right)+2^{48} 3^{2} x^{6}\\left((\\theta+3)^4\\right)", "superseek": "352 26115552", "discriminant": "6 1 -1536 458752 201326592 -73014444032 -6597069766656 2533274790395904", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0677bb20f37d2fa88bafbc665d5157c1", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(256z-1)^2(768z-1)^2(256z+1)^2", "discr_factors": "2533274790395904, (z-1/768)^2, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"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","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","1","-2","3"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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","3","3","3"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 2752*X^2+1216*X+176+3072*X^3-2304*X^4, -409600*X^2+2539520*X+589824-5242880*X^3+1638400*X^4, 203423744+377487360*X-1317011456*X^2+2617245696*X^3-150994944*X^4, 15032385536*X^2-92341796864*X-16106127360-274877906944*X^3-227633266688*X^4, -68444598829056*X^2-78340203479040*X-24532853194752-65970697666560*X^3+49478023249920*X^4, 10766417859182592+42432352739131392*X+62698551062298624*X^2+40532396646334464*X^3+7599824371187712*X^4, -1945555039024054272*(X+1)^4]", "text": "This is operator \"7.18\" from ...", "degz": 7, "h3": null, "sol": "1 -176 17168 -4715264 653856016 -191557409536 30340274422016 -9057045220569088 1542586229229919504 -463281504713458547456", "n_discr_factors": "3", "c3": null, "operator": "4 7 0 0 0 0 1 176 1216 2752 3072 -2304 589824 2539520 -409600 -5242880 1638400 203423744 377487360 -1317011456 2617245696 -150994944 -16106127360 -92341796864 15032385536 -274877906944 -227633266688 -24532853194752 -78340203479040 -68444598829056 -65970697666560 49478023249920 10766417859182592 42432352739131392 62698551062298624 40532396646334464 7599824371187712 -1945555039024054272 -7782220156096217088 -11673330234144325632 -7782220156096217088 -1945555039024054272", "new_number": "7.18", "id": 440, "operator_tex": "\\theta^4-2^{4} x\\left(144\\theta^4-192\\theta^3-172\\theta^2-76\\theta-11\\right)+2^{14} x^{2}\\left(100\\theta^4-320\\theta^3-25\\theta^2+155\\theta+36\\right)-2^{21} x^{3}\\left(72\\theta^4-1248\\theta^3+628\\theta^2-180\\theta-97\\right)-2^{30} x^{4}\\left(212\\theta^4+256\\theta^3-14\\theta^2+86\\theta+15\\right)+2^{36} 3 x^{5}\\left(240\\theta^4-320\\theta^3-332\\theta^2-380\\theta-119\\right)+2^{46} 3^{2} x^{6}\\left(12\\theta^4+64\\theta^3+99\\theta^2+67\\theta+17\\right)-2^{56} 3^{3} x^{7}\\left((\\theta+1)^4\\right)", "superseek": "352 26115552", "discriminant": "7 1 -2304 1638400 -150994944 -227633266688 49478023249920 7599824371187712 -1945555039024054272", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "df2c3b4e6a3366531b24bb05809eb1a4", "dim_h": null, "inst": " 352 60664 26115552 16623590600 13165993300256 11986704764296088 12020218264693813856 12940227600404919292744 14708343012850857454009600 17451325510266418328472861992", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(256z-1)^2(256z+1)^2(768z-1)^3", "discr_factors": "-1945555039024054272, (z-1/768)^3, (z-1/256)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 512 445280 480479232 578735581744 745583606296576 1005278122520203776 1400774260891946319872 2001101029745058591951512", "yuk": "1 352 485664 705120256 1063910284064 1645749162532352 2589128229793560576 4122934864789978152960 6625396531408382588168992 10722382056368275084678118656", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","0","1","1"],"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","im":"0","approx_re":"0.00130208333333","approx_im":"0.0","exponents":["0","2","3","5"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","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":["1","1","1","1"],"monodromy":[],"monodromy_dm":[]}]}]}