{"count": 4, "status":"OK", "data":[{"id": 345, "new_number": "11.8", "degz": 11, "operator": "4 11 0 0 0 0 289 0 0 -102 -204 -11934 -64736 -254320 -388040 -256704 33900 1016328 3574284 5973468 5603184 2868376 6005376 19204960 26374256 18132224 -7428704 -410967008 -1176282768 -1329579376 -751934848 -292523200 -1145515776 -3607239936 -3489617856 -1411777536 -520298112 68575288704 169363710784 151243970240 60669785600 9879612160 -127607076864 -107724681728 122043752704 132791300096 30629942528 -1824878971392 -4067433997056 -3092563836672 -942484331520 -92475520512 233081376768 -866559725568 -2139023858688 -1255028686848 -215645930496 10407899381760 21683123712000 15178186598400 4336624742400 433662474240", "operator_tex": "17^{2} \\theta^4-2 3 17 x\\theta^2(117\\theta^2+2\\theta+1)+2^{2} x^{2}\\left(8475\\theta^4-64176\\theta^3-97010\\theta^2-63580\\theta-16184\\right)+2^{2} x^{3}\\left(717094\\theta^4+1400796\\theta^3+1493367\\theta^2+893571\\theta+254082\\right)-2^{4} x^{4}\\left(464294\\theta^4-1133264\\theta^3-1648391\\theta^2-1200310\\theta-375336\\right)-2^{4} x^{5}\\left(18282700\\theta^4+46995928\\theta^3+83098711\\theta^2+73517673\\theta+25685438\\right)-2^{6} 3 x^{6}\\left(2709886\\theta^4+7353008\\theta^3+18175093\\theta^2+18787708\\theta+5966228\\right)+2^{6} x^{7}\\left(154368940\\theta^4+947965400\\theta^3+2363187035\\theta^2+2646307981\\theta+1071488886\\right)+2^{8} x^{8}(\\theta+1)(119648213\\theta^3+399067803\\theta^2+77665606\\theta-498465144)-2^{8} 3 x^{9}(\\theta+1)(\\theta+2)(120410834\\theta^2+865960638\\theta+1188072247)-2^{10} 3^{2} 107 x^{10}(\\theta+3)(\\theta+2)(\\theta+1)(218683\\theta-39394)+2^{11} 3^{3} 5 107^{2} 137 x^{11}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "hash": "a0a3e346d09b91b8ad96e54854c136ad", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"11.8\" from ...", "discriminant": "11 289 -11934 33900 2868376 -7428704 -292523200 -520298112 9879612160 30629942528 -92475520512 -215645930496 433662474240", "discriminant_tex": "(10z+1)(6z-1)(1096z^3+228z^2+14z-1)(2z-1)^2(1284z^2+232z-17)^2", "n_discr_factors": "5", "discr_factors": "433662474240, (z^2+58/321*z-17/1284)^2, z+1/10, (z-1/2)^2, z^3+57/274*z^2+7/548*z-1/1096, z-1/6", "inst": " 6/17 83/17 688/17 7350/17 5150 1143830/17 15887970/17 233522114/17 3587858746/17 57218160425/17", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "9", "n_sing_complex": "2", "n_sing_real": "7", "n_sing_rational": "4", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 0 14 72 1554 22560 423500 7746480 151523890 3008960640", "yuk": "1 6/17 670/17 18582/17 27710 10943756/17 247086526/17 5449573716/17 119563793438/17 2615549044416/17", "q": "0 1 0 -27 -204 -1976 -27104 -412712 -6405368 -104277878", "sol_explicit": "", "laurent": null, "pols": "[289*X^4, -102*X^2*(117*X^2+2*X+1), 33900*X^4-256704*X^3-388040*X^2-254320*X-64736, 2868376*X^4+5603184*X^3+5973468*X^2+3574284*X+1016328, -7428704*X^4+18132224*X^3+26374256*X^2+19204960*X+6005376, -292523200*X^4-751934848*X^3-1329579376*X^2-1176282768*X-410967008, -520298112*X^4-1411777536*X^3-3489617856*X^2-3607239936*X-1145515776, 9879612160*X^4+60669785600*X^3+151243970240*X^2+169363710784*X+68575288704, 256*(X+1)*(119648213*X^3+399067803*X^2+77665606*X-498465144), -768*(X+1)*(X+2)*(120410834*X^2+865960638*X+1188072247), -986112*(X+3)*(X+2)*(X+1)*(218683*X-39394), 433662474240*(X+1)*(X+2)*(X+3)*(X+4)]", "aesz": null, "superseek": "6/17 688/17", 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{"id": 411, "new_number": "6.27", "degz": 6, "operator": "4 6 0 0 0 0 24137569 -105069418 -549484659 -1155763598 -1212557878 -606278939 5390111256 18676464894 25120026523 15781794076 3945448519 -32569298904 -91101169440 -93442872282 -42050543868 -7008423978 -174815457264 -426336402096 -364537547244 -128976723360 -16122090420 304550245440 647723064240 463338684648 133517628720 13351762872 -98156862720 -191405882304 -120242156832 -29447058816 -2453921568", "operator_tex": "17^{6} \\theta^4-17^{5} x\\left(427\\theta^4+854\\theta^3+814\\theta^2+387\\theta+74\\right)+17^{4} x^{2}\\left(47239\\theta^4+188956\\theta^3+300763\\theta^2+223614\\theta+64536\\right)-2 3 17^{3} x^{3}\\left(237751\\theta^4+1426506\\theta^3+3169919\\theta^2+3090480\\theta+1104868\\right)-2^{2} 3^{2} 17^{2} x^{4}\\left(1549605\\theta^4+12396840\\theta^3+35038211\\theta^2+40978124\\theta+16802716\\right)+2^{3} 3^{3} 7 17 139 x^{5}(\\theta+4)(\\theta+1)(3737\\theta^2+18685\\theta+21310)-2^{5} 3^{4} 7^{2} 139^{2} x^{6}(\\theta+5)(\\theta+4)(\\theta+2)(\\theta+1)", "hash": "af5aea32756746d4fc4931e4da73756b", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"6.27\" from ...", "discriminant": "6 24137569 -606278939 3945448519 -7008423978 -16122090420 13351762872 -2453921568", "discriminant_tex": "-(28z+17)(278z-17)(8757z^2-2805z+289)(6z-17)^2", "n_discr_factors": "4", "discr_factors": "-2453921568, (z-17/6)^2, z^2-935/2919*z+289/8757, z-17/278, z+17/28", "inst": " 6/17 25/34 33/17 157/17 577/17 6115/34 15779/17 93410/17 553816/17 7017071/34", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "6", "n_sing_complex": "2", "n_sing_real": "4", "n_sing_rational": "4", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 74/17 7788/289 1036400/4913 164905648/83521 29670769824/1419857 5791052362056/24137569 1194339105635232/410338673 256246843974225120/6975757441 56648334490949377472/118587876497", "yuk": "1 6/17 106/17 897/17 10154/17 4243 661417/17 5412203/17 47836074/17 403732761/17", "q": "0 1 -91/17 5102/289 -302731/4913 10341750/83521 -329009388/1419857 -26092235588/24137569 1245683926125/410338673 -360713787912586/6975757441", "sol_explicit": "", "laurent": null, "pols": "[24137569*X^4, -1155763598*X^2-549484659*X-105069418-606278939*X^4-1212557878*X^3, 25120026523*X^2+15781794076*X^3+18676464894*X+5390111256+3945448519*X^4, -91101169440*X-7008423978*X^4-93442872282*X^2-32569298904-42050543868*X^3, -426336402096*X-128976723360*X^3-364537547244*X^2-16122090420*X^4-174815457264, 3572856*(X+4)*(X+1)*(3737*X^2+18685*X+21310), -2453921568*(X+5)*(X+4)*(X+2)*(X+1)]", "aesz": null, "superseek": "6/17 33/17", "spectrum":[{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"-289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"-0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","2","4","5"],"monodromy":[],"monodromy_dm":[]},{"re":"935/5838","im":"289/5838*3^(1/2)","approx_re":"0.160157588215","approx_im":"0.085742","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-17/28","im":"0","approx_re":"-0.607142857143","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"17/6","im":"0","approx_re":"2.83333333333","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"17/278","im":"0","approx_re":"0.0611510791367","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]}]}, {"id": 516, "new_number": "8.68", "degz": 8, "operator": "4 8 0 0 0 0 289 0 -289 -1258 -1938 2805 -36992 -126480 -175353 -122880 -20619 -751944 -2348244 -2875346 -1707888 -403714 -6777488 -19426696 -21206284 -10846464 -2285100 -47597088 -117789120 -106767864 -43675392 -7099560 -264764864 -586028256 -451468544 -148087488 -17882336 -842079744 -1782251520 -1279217280 -378785280 -39739776 -1059803136 -2207923200 -1545546240 -441584640 -44158464", "operator_tex": "17^{2} \\theta^4+17 x\\theta(165\\theta^3-114\\theta^2-74\\theta-17)-x^{2}\\left(20619\\theta^4+122880\\theta^3+175353\\theta^2+126480\\theta+36992\\right)-2 x^{3}\\left(201857\\theta^4+853944\\theta^3+1437673\\theta^2+1174122\\theta+375972\\right)-2^{2} x^{4}\\left(571275\\theta^4+2711616\\theta^3+5301571\\theta^2+4856674\\theta+1694372\\right)-2^{3} 3 x^{5}(\\theta+1)(295815\\theta^3+1523993\\theta^2+2924668\\theta+1983212)-2^{5} x^{6}(\\theta+1)(\\theta+2)(558823\\theta^2+2951265\\theta+4136951)-2^{7} 3 37 x^{7}(\\theta+3)(\\theta+2)(\\theta+1)(2797\\theta+9878)-2^{9} 3^{2} 7 37^{2} x^{8}(\\theta+1)(\\theta+2)(\\theta+3)(\\theta+4)", "hash": "0c0662f5b46ac6cb0bd298a63cf364c7", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"8.68\" from ...", "discriminant": "8 289 2805 -20619 -403714 -2285100 -7099560 -17882336 -39739776 -44158464", "discriminant_tex": "-(12z-1)(6z+1)(7z^2-z+1)(4z+1)^2(74z+17)^2", "n_discr_factors": "5", "discr_factors": "-44158464, z-1/12, z+1/6, (z+17/74)^2, z^2-1/7*z+1/7, (z+1/4)^2", "inst": " 6/17 25/34 33/17 157/17 577/17 6115/34 15779/17 93410/17 553816/17 7017071/34", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "7", "n_sing_complex": "2", "n_sing_real": "5", "n_sing_rational": "5", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 0 8 24 288 1920 18440 159600 1533280 14622720", "yuk": "1 6/17 106/17 897/17 10154/17 4243 661417/17 5412203/17 47836074/17 403732761/17", "q": "0 1 -1 -10 -5 -10 -120 -620 -5381 -41914", "sol_explicit": "", "laurent": null, "pols": "[289*X^4, 17*X*(165*X^3-114*X^2-74*X-17), -20619*X^4-122880*X^3-175353*X^2-126480*X-36992, -403714*X^4-1707888*X^3-2875346*X^2-2348244*X-751944, -2285100*X^4-10846464*X^3-21206284*X^2-19426696*X-6777488, -24*(X+1)*(295815*X^3+1523993*X^2+2924668*X+1983212), -32*(X+1)*(X+2)*(558823*X^2+2951265*X+4136951), -14208*(X+3)*(X+2)*(X+1)*(2797*X+9878), -44158464*(X+1)*(X+2)*(X+3)*(X+4)]", "aesz": null, "superseek": "6/17 33/17", 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{"id": 547, "new_number": "9.8", "degz": 9, "operator": "4 9 0 0 0 0 289 578 2890 5678 5576 -5576 -64940 -283424 -486300 -383456 -141200 -1970776 -5961900 -5841172 -1111296 1711936 12708832 61131920 117104176 107083264 33416192 165704576 583048640 757989312 410439680 -88311808 -4961050880 -14613656064 -16449085184 -9507938304 -3388903424 -7719091200 -32693575680 -51345054720 -37011456000 -11753717760 236597760000 686239948800 705729024000 299129241600 43042406400 867041280000 2601123840000 2817884160000 1300561920000 216760320000", "operator_tex": "17^{2} \\theta^4-2 17 x\\left(164\\theta^4-164\\theta^3-167\\theta^2-85\\theta-17\\right)-2^{2} x^{2}\\left(35300\\theta^4+95864\\theta^3+121575\\theta^2+70856\\theta+16235\\right)+2^{2} x^{3}\\left(427984\\theta^4-277824\\theta^3-1460293\\theta^2-1490475\\theta-492694\\right)+2^{4} x^{4}\\left(2088512\\theta^4+6692704\\theta^3+7319011\\theta^2+3820745\\theta+794302\\right)-2^{6} x^{5}\\left(1379872\\theta^4-6413120\\theta^3-11843583\\theta^2-9110135\\theta-2589134\\right)-2^{8} x^{6}\\left(13237904\\theta^4+37140384\\theta^3+64254239\\theta^2+57084594\\theta+19379105\\right)-2^{10} 3^{2} 5 x^{7}\\left(255072\\theta^4+803200\\theta^3+1114259\\theta^2+709496\\theta+167515\\right)+2^{12} 3^{3} 5^{2} 7 x^{8}(2224\\theta^2+11008\\theta+12225)(\\theta+1)^2+2^{18} 3^{3} 5^{4} 7^{2} x^{9}(\\theta+1)^2(\\theta+2)^2", "hash": "0574d9effd306eb6c9288752b7670904", "dm_basis": null, "cleanlist": "True", "text": "This is operator \"9.8\" from ...", "discriminant": "9 289 -5576 -141200 1711936 33416192 -88311808 -3388903424 -11753717760 43042406400 216760320000", "discriminant_tex": "(4z-1)(12z+1)(1600z^3+272z^2+8z-1)(-17+164z+1680z^2)^2", "n_discr_factors": "4", "discr_factors": "216760320000, z+1/12, z-1/4, z^3+17/100*z^2+1/200*z-1/1600, (-17/1680+41/420*z+z^2)^2", "inst": " 6/17 83/17 688/17 7350/17 5150 1143830/17 15887970/17 233522114/17 3587858746/17 57218160425/17", "inst_int": "", "gv0": null, "gv1": null, "gv2": null, "n_sing": "8", "n_sing_complex": "2", "n_sing_real": "6", "n_sing_rational": "3", "c3": null, "c2h": null, "h3": null, "dim_h": null, "sol": "1 -2 18 -20 1330 8748 237924 3308184 66542130 1151969020", "yuk": "1 6/17 670/17 18582/17 27710 10943756/17 247086526/17 5449573716/17 119563793438/17 2615549044416/17", "q": "0 1 2 -23 -304 -3100 -36830 -522684 -8002248 -129042146", "sol_explicit": "", "laurent": null, "pols": "[289*X^4, 2890*X+5678*X^2+578+5576*X^3-5576*X^4, -283424*X-383456*X^3-486300*X^2-141200*X^4-64940, -5961900*X-1111296*X^3+1711936*X^4-5841172*X^2-1970776, 33416192*X^4+107083264*X^3+12708832+61131920*X+117104176*X^2, 583048640*X+165704576+410439680*X^3-88311808*X^4+757989312*X^2, -3388903424*X^4-16449085184*X^2-9507938304*X^3-4961050880-14613656064*X, -11753717760*X^4-51345054720*X^2-7719091200-37011456000*X^3-32693575680*X, 19353600*(2224*X^2+11008*X+12225)*(X+1)^2, 216760320000*(X+1)^2*(X+2)^2]", "aesz": null, "superseek": "6/17 688/17", 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