{"count": 6, "status":"OK", "data":[{"pols": "[25*X^4, -1480*(X+1)^4+3050*(X+1)^3-2555*(X+1)^2+860+1030*X, -2358*X-2402-4531*(X+1)^4-5994*(X+1)^3+7377*(X+1)^2, 30032*(X+1)^3+9672+9520*X-25720*(X+1)^2+2236*(X+1)^4, -6456*(X+1)^3+162036*(X+1)^2+1455*(X+1)^4-42899-56424*X, 356672-534147*(X+1)^2+80304*(X+1)^4+519246*X-241398*(X+1)^3, -476454*X-325736+141438*(X+1)^3+367365*(X+1)^2-18597*(X+1)^4, -249660*X-183364-756948*(X+1)^3+1448862*(X+1)^2-38172*(X+1)^4, 1725616-4137132*(X+1)^2+2289960*X-211116*(X+1)^4+1854432*(X+1)^3, -212104+734136*(X+1)^2-218600*(X+1)^4-331240*X+509360*(X+1)^3, 804508*(X+1)^2-524144*X-431664+547196*(X+1)^4-1564408*(X+1)^3, 9248*(X+1)*(45*X+54+72*(X+1)^2+19*(X+1)^3), -78608*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.15\" from ...", "degz": 12, "h3": null, "sol": "1 5 109 3329 122581 5027945 221434465 10255355045 493093495045 24405945849305", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 25 -125 -850 -2285 -2870 -1480 -5550 -23710 -37791 -24118 -4531 16220 57120 77792 38976 2236 114136 254100 151398 -636 1455 -338569 -952026 -776517 79818 80304 164470 608202 680097 67050 -18597 470378 224532 -1051014 -909636 -38172 -768200 -1265472 159468 1009968 -211116 812792 1790712 950616 -365040 -218600 -644368 -1419568 -605540 624376 547196 1340960 3615968 3468000 1368704 175712 -1414944 -4009008 -4166224 -1886592 -314432", "new_number": "12.15", "id": 352, "operator_tex": "5^{2} \\theta^4-5 x\\left(296\\theta^4+574\\theta^3+457\\theta^2+170\\theta+25\\right)-x^{2}\\left(4531\\theta^4+24118\\theta^3+37791\\theta^2+23710\\theta+5550\\right)+2^{2} x^{3}\\left(559\\theta^4+9744\\theta^3+19448\\theta^2+14280\\theta+4055\\right)+x^{4}\\left(1455\\theta^4-636\\theta^3+151398\\theta^2+254100\\theta+114136\\right)+x^{5}\\left(80304\\theta^4+79818\\theta^3-776517\\theta^2-952026\\theta-338569\\right)-x^{6}\\left(18597\\theta^4-67050\\theta^3-680097\\theta^2-608202\\theta-164470\\right)-2 x^{7}\\left(19086\\theta^4+454818\\theta^3+525507\\theta^2-112266\\theta-235189\\right)-2^{2} x^{8}\\left(52779\\theta^4-252492\\theta^3-39867\\theta^2+316368\\theta+192050\\right)-2^{3} x^{9}\\left(27325\\theta^4+45630\\theta^3-118827\\theta^2-223839\\theta-101599\\right)+2^{2} 17 x^{10}\\left(8047\\theta^4+9182\\theta^3-8905\\theta^2-20876\\theta-9476\\right)+2^{5} 17^{2} x^{11}(\\theta+1)(19\\theta^3+129\\theta^2+246\\theta+145)-2^{4} 17^{3} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "27/5 1619/5", "discriminant": "12 25 -1480 -4531 2236 1455 80304 -18597 -38172 -211116 -218600 547196 175712 -314432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "f7297f2850190f8613d1cbc3a7363a23", "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": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(4z+1)(z+1)(68z^2+61z-1)(z-1)^2(34z^3-12z^2+3z-5)^2", "discr_factors": "-314432, (z-1)^2, z+1/4, z+1, z^2+61/68*z-1/68, (z^3-6/17*z^2+3/34*z-5/34)^2", "dm_basis": null, "q": "0 1 -14 7 -44 -9001 -178098 -4866791 -138778216 -4103569980", "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","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-61/136-11/136*33^(1/2)","im":"0","approx_re":"-0.913163","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/68*(2750+34*6547^(1/2))^(1/3)+9/34/(2750+34*6547^(1/2))^(1/3)+2/17","im":"-1/2*3^(1/2)*(1/34*(2750+34*6547^(1/2))^(1/3)+9/17/(2750+34*6547^(1/2))^(1/3))","approx_re":"-0.126959","approx_im":"-0.475615","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/68*(2750+34*6547^(1/2))^(1/3)+9/34/(2750+34*6547^(1/2))^(1/3)+2/17","im":"1/2*3^(1/2)*(1/34*(2750+34*6547^(1/2))^(1/3)+9/17/(2750+34*6547^(1/2))^(1/3))","approx_re":"-0.126959","approx_im":"0.475615","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":"-61/136+11/136*33^(1/2)","im":"0","approx_re":"0.016104","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/34*(2750+34*6547^(1/2))^(1/3)-9/17/(2750+34*6547^(1/2))^(1/3)+2/17","im":"0","approx_re":"0.606859","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -X*(5*X^3+46*X^2+29*X+6), -1548*X^4-6228*X^3-8322*X^2-4908*X-1152, -41148*X^4-179712*X^3-302832*X^2-229608*X-67392, -531792*X^4-2560464*X^3-4760208*X^2-4002912*X-1296000, -3396816*X^4-21682080*X^3-50633424*X^2-45542736*X-15225408, -1166400*X^4-87619968*X^3-354274560*X^2-390767328*X-145846656, 143327232*X^4+111974400*X^3-1187348544*X^2-1909303488*X-854924544, 965219328*X^4+3699634176*X^3+586185984*X^2-3934220544*X-2512705536, 994332672*X^4+19026690048*X^3+25382356992*X^2+9231169536*X-1088391168, -12576964608*X^4+7739670528*X^3+60466176000*X^2+61917364224*X+18865446912, -2902376448*(X+1)*(16*X^3+40*X^2+31*X+6), -11609505792*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.6\" from ...", "degz": 12, "h3": null, "sol": "1 0 72 1344 48600 1658880 63303840 2503872000 103054858200 4358669750400", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 0 -6 -29 -46 -5 -1152 -4908 -8322 -6228 -1548 -67392 -229608 -302832 -179712 -41148 -1296000 -4002912 -4760208 -2560464 -531792 -15225408 -45542736 -50633424 -21682080 -3396816 -145846656 -390767328 -354274560 -87619968 -1166400 -854924544 -1909303488 -1187348544 111974400 143327232 -2512705536 -3934220544 586185984 3699634176 965219328 -1088391168 9231169536 25382356992 19026690048 994332672 18865446912 61917364224 60466176000 7739670528 -12576964608 -17414258688 -107387928576 -206068727808 -162533081088 -46438023168 -208971104256 -592084795392 -615303806976 -278628139008 -46438023168", "new_number": "12.6", "id": 359, "operator_tex": "\\theta^4-x\\theta(5\\theta^3+46\\theta^2+29\\theta+6)-2 3 x^{2}\\left(258\\theta^4+1038\\theta^3+1387\\theta^2+818\\theta+192\\right)-2^{2} 3^{3} x^{3}\\left(381\\theta^4+1664\\theta^3+2804\\theta^2+2126\\theta+624\\right)-2^{4} 3^{3} x^{4}\\left(1231\\theta^4+5927\\theta^3+11019\\theta^2+9266\\theta+3000\\right)-2^{4} 3^{4} x^{5}\\left(2621\\theta^4+16730\\theta^3+39069\\theta^2+35141\\theta+11748\\right)-2^{5} 3^{5} x^{6}\\left(150\\theta^4+11268\\theta^3+45560\\theta^2+50253\\theta+18756\\right)+2^{6} 3^{7} x^{7}\\left(1024\\theta^4+800\\theta^3-8483\\theta^2-13641\\theta-6108\\right)+2^{8} 3^{7} x^{8}\\left(1724\\theta^4+6608\\theta^3+1047\\theta^2-7027\\theta-4488\\right)+2^{11} 3^{8} x^{9}\\left(74\\theta^4+1416\\theta^3+1889\\theta^2+687\\theta-81\\right)-2^{13} 3^{10} x^{10}\\left(26\\theta^4-16\\theta^3-125\\theta^2-128\\theta-39\\right)-2^{14} 3^{11} x^{11}(\\theta+1)(16\\theta^3+40\\theta^2+31\\theta+6)-2^{16} 3^{11} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "5 953/3", "discriminant": "12 1 -5 -1548 -41148 -531792 -3396816 -1166400 143327232 965219328 994332672 -12576964608 -46438023168 -46438023168", "aesz": null, "n_sing_complex": "5", "inst_int": "", "c2h": null, "hash": "4ea78627bfc56ef9555d9b6b3c949e7a", "dim_h": null, "inst": " 5 83/2 953/3 5319 97812 6190120/3 48394460 1210203868 286835832886/9 875125075614", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "10", "laurent": null, "discriminant_tex": "-(4z+1)(12z+1)(3z+1)(1728z^3+864z^2+36z-1)(-1-6z-36z^2+432z^3)^2", "discr_factors": "-46438023168, z+1/3, (-1/432-1/72*z-1/12*z^2+z^3)^2, z+1/4, z+1/12, z^3+1/2*z^2+1/48*z-1/1728", "dm_basis": null, "q": "0 1 -6 -141 -276 -1431 -226962 -6457073 -170709960 -4917046797", "yuk": "1 5 337 8582 340753 12226505 445697554 16599299785 619624721169 23233702472348", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/48*(-36+12*I*3^(1/2))^(1/3)-1/4/(-36+12*I*3^(1/2))^(1/3)-1/6+1/24*I*3^(1/2)*(1/2*(-36+12*I*3^(1/2))^(1/3)-6/(-36+12*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.450956","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3","im":"0","approx_re":"-0.333333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/4","im":"0","approx_re":"-0.25","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/12","im":"0","approx_re":"-0.0833333333333","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/48*(-36+12*I*3^(1/2))^(1/3)-1/4/(-36+12*I*3^(1/2))^(1/3)-1/6-1/24*I*3^(1/2)*(1/2*(-36+12*I*3^(1/2))^(1/3)-6/(-36+12*I*3^(1/2))^(1/3))","im":"0","approx_re":"-0.067934","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(64+3*417^(1/2))^(1/3)-7/72/(64+3*417^(1/2))^(1/3)+1/36","im":"-1/12*3^(1/2)*(1/6*(64+3*417^(1/2))^(1/3)-7/6/(64+3*417^(1/2))^(1/3))","approx_re":"-0.061146","approx_im":"-0.08671","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/72*(64+3*417^(1/2))^(1/3)-7/72/(64+3*417^(1/2))^(1/3)+1/36","im":"1/12*3^(1/2)*(1/6*(64+3*417^(1/2))^(1/3)-7/6/(64+3*417^(1/2))^(1/3))","approx_re":"-0.061146","approx_im":"0.08671","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":"1/24*(-36+12*I*3^(1/2))^(1/3)+1/2/(-36+12*I*3^(1/2))^(1/3)-1/6","im":"0","approx_re":"0.01889","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/36*(64+3*417^(1/2))^(1/3)+7/36/(64+3*417^(1/2))^(1/3)+1/36","im":"0","approx_re":"0.205625","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":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 240+1152*X+1920*X^2+1536*X^3+5376*X^4, 1351680+6422528*X+13074432*X^2+10747904*X^3+11534336*X^4, 4680843264+18685624320*X+32602324992*X^2+26273120256*X^3+12431917056*X^4, 8585371189248+30062623588352*X+44328357462016*X^2+29807073034240*X^3+6567004995584*X^4, 8918413690798080+27747275438555136*X+34585138251694080*X^2+16189209207373824*X^3+712483534798848*X^4, 5349643038618550272+14475976577252327424*X+14449517929441525760*X^2+2567051787601182720*X^3-1022317115413102592*X^4, 1733165280597261680640+3722927653563584741376*X+2185939172734581866496*X^2-1478621829658281246720*X^3-524002823843811950592*X^4, 216989050539045455659008+141449633557204841791488*X-476147358030590946312192*X^2-780961357104567577214976*X^3-63751947518740210384896*X^4, -18870576465547102273929216-118833630174931752157446144*X-186042349959132542838767616*X^2-102003116029984336615833600*X^3+21987338344241068114968576*X^4, -3231458715829903783989608448-6441156766906744242834505728*X+2611279770367599017365340160*X^2+12882313533813488485669011456*X^3+8530180583200823456726777856*X^4, 267395048485642139378210832384*(4*X^2+8*X+5)*(X+1)^2, 11408855402054064613470328848384*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"12.8\" from ...", "degz": 12, "h3": null, "sol": "1 -240 68880 -22281984 7875829008 -2976620302080 1183491503120640 -488985507436032000 208051568598734937360 -90553516446640666648320", "n_discr_factors": "4", "c3": null, "operator": "4 12 0 0 0 0 1 240 1152 1920 1536 5376 1351680 6422528 13074432 10747904 11534336 4680843264 18685624320 32602324992 26273120256 12431917056 8585371189248 30062623588352 44328357462016 29807073034240 6567004995584 8918413690798080 27747275438555136 34585138251694080 16189209207373824 712483534798848 5349643038618550272 14475976577252327424 14449517929441525760 2567051787601182720 -1022317115413102592 1733165280597261680640 3722927653563584741376 2185939172734581866496 -1478621829658281246720 -524002823843811950592 216989050539045455659008 141449633557204841791488 -476147358030590946312192 -780961357104567577214976 -63751947518740210384896 -18870576465547102273929216 -118833630174931752157446144 -186042349959132542838767616 -102003116029984336615833600 21987338344241068114968576 -3231458715829903783989608448 -6441156766906744242834505728 2611279770367599017365340160 12882313533813488485669011456 8530180583200823456726777856 1336975242428210696891054161920 4813110872741558508807794982912 6684876212141053484455270809600 4278320775770274230051373318144 1069580193942568557512843329536 205359397236973163042465919270912 581851625504757295286986771267584 604669336308865424513927428964352 273812529649297550723287892361216 45635421608216258453881315393536", "new_number": "12.8", "id": 360, "operator_tex": "\\theta^4+2^{4} 3 x\\left(112\\theta^4+32\\theta^3+40\\theta^2+24\\theta+5\\right)+2^{13} x^{2}\\left(1408\\theta^4+1312\\theta^3+1596\\theta^2+784\\theta+165\\right)+2^{22} 3 x^{3}\\left(988\\theta^4+2088\\theta^3+2591\\theta^2+1485\\theta+372\\right)+2^{28} x^{4}\\left(24464\\theta^4+111040\\theta^3+165136\\theta^2+111992\\theta+31983\\right)+2^{38} 3^{2} x^{5}\\left(288\\theta^4+6544\\theta^3+13980\\theta^2+11216\\theta+3605\\right)-2^{46} x^{6}\\left(14528\\theta^4-36480\\theta^3-205340\\theta^2-205716\\theta-76023\\right)-2^{55} 3 x^{7}\\left(4848\\theta^4+13680\\theta^3-20224\\theta^2-34444\\theta-16035\\right)-2^{64} 3^{2} x^{8}\\left(384\\theta^4+4704\\theta^3+2868\\theta^2-852\\theta-1307\\right)+2^{74} 3 x^{9}\\left(388\\theta^4-1800\\theta^3-3283\\theta^2-2097\\theta-333\\right)+2^{80} 3^{2} x^{10}\\left(784\\theta^4+1184\\theta^3+240\\theta^2-592\\theta-297\\right)+2^{93} 3^{3} x^{11}(4\\theta^2+8\\theta+5)(\\theta+1)^2+2^{100} 3^{2} x^{12}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "288 12718752", "discriminant": "12 1 5376 11534336 12431917056 6567004995584 712483534798848 -1022317115413102592 -524002823843811950592 -63751947518740210384896 21987338344241068114968576 8530180583200823456726777856 1069580193942568557512843329536 45635421608216258453881315393536", "aesz": null, "n_sing_complex": "3", "inst_int": "", "c2h": null, "hash": "3373bbe821cc39369e8ba8c46ec88532", "dim_h": null, "inst": " 288 -71872 12718752 -4499223616 1510063178336 -613603380869568 255458414844660768 -114105705094996919360 52474211351785220042496 -24986192330547118925460544", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(1+768z+65536z^2)(256z+1)^2(512z+1)^2(201326592z^3-1536z-1)^2", "discr_factors": "45635421608216258453881315393536, (z^3-1/131072*z-1/201326592)^2, (z+1/512)^2, (z+1/256)^2, 1/65536+3/256*z+z^2", "dm_basis": null, "q": "0 1 192 51296 8185856 3551010352 100668758016 396243551740416 -88674484154925056 74550062959638239896", "yuk": "1 288 -574688 343406592 -287950886112 188757897292288 -132538329924995072 87622236291718643712 -58422121008926373598432 38253700075451425754386176", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"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":"-1/256","im":"0","approx_re":"-0.00390625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/3072*(9+3*I*15^(1/2))^(1/3)-1/512/(9+3*I*15^(1/2))^(1/3)+1/512*I*3^(1/2)*(1/6*(9+3*I*15^(1/2))^(1/3)-1/(9+3*I*15^(1/2))^(1/3))","im":"0","approx_re":"-0.002348","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/512","im":"0","approx_re":"-0.001953125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"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":"-1/3072*(9+3*I*15^(1/2))^(1/3)-1/512/(9+3*I*15^(1/2))^(1/3)-1/512*I*3^(1/2)*(1/6*(9+3*I*15^(1/2))^(1/3)-1/(9+3*I*15^(1/2))^(1/3))","im":"0","approx_re":"-0.000695","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":"1/1536*(9+3*I*15^(1/2))^(1/3)+1/256/(9+3*I*15^(1/2))^(1/3)","im":"0","approx_re":"0.003043","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":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[6561*X^4, -13122-72171*X-159975*X^2-175608*X^3-99954*X^4, -428004-1521180*X-2033921*X^2-1177556*X^3-205589*X^4, 2310517*X^4+12882402*X^3+26939429*X^2+25052328*X+8683524, -32579600-84939800*X-80445300*X^2-33268700*X^3-5152600*X^4, 2500*(X+1)*(1593*X^3+8667*X^2+15104*X+8516), -250000*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"6.9\" from ...", "degz": 6, "h3": "162", "sol": "1 2 14 104 1030 10852 124424 1489168 18523558 236834780", "n_discr_factors": "3", "c3": "-88", "operator": "4 6 0 0 0 0 6561 -13122 -72171 -159975 -175608 -99954 -428004 -1521180 -2033921 -1177556 -205589 8683524 25052328 26939429 12882402 2310517 -32579600 -84939800 -80445300 -33268700 -5152600 21290000 59050000 59427500 25650000 3982500 -4500000 -12750000 -13250000 -6000000 -1000000", "new_number": "6.9", "id": 431, "operator_tex": "3^{8} \\theta^4-3^{4} x\\left(1234\\theta^4+2168\\theta^3+1975\\theta^2+891\\theta+162\\right)-x^{2}\\left(428004+1521180\\theta+2033921\\theta^2+1177556\\theta^3+205589\\theta^4\\right)+x^{3}\\left(2310517\\theta^4+12882402\\theta^3+26939429\\theta^2+25052328\\theta+8683524\\right)-2^{2} 5^{2} x^{4}\\left(51526\\theta^4+332687\\theta^3+804453\\theta^2+849398\\theta+325796\\right)+2^{2} 5^{4} x^{5}(\\theta+1)(1593\\theta^3+8667\\theta^2+15104\\theta+8516)-2^{4} 5^{6} x^{6}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "31/81 29/9", "discriminant": "6 6561 -99954 -205589 2310517 -5152600 3982500 -1000000", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": "132", "hash": "98af5121f39c27098356e3ade277f975", "dim_h": "38", "inst": " 31/81 40/27 29/9 1532/81 6551/81 42442/81 250475/81 588796/27 12225961/81 91935268/81", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "6", "laurent": null, "discriminant_tex": "-(16z-1)(25z^3-17z^2+2z+1)(-81+50z)^2", "discr_factors": "-1000000, z^3-17/25*z^2+2/25*z+1/25, (-81/50+z)^2, z-1/16", "dm_basis": null, "q": "0 1 -3 -7 27 -119 -173 -1634 -13683 -110258", "yuk": "1 31/81 991/81 7078/81 33013/27 818906/81 9175510/81 9545884/9 100498855/9 8912732647/81", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"0","approx_re":"-0.17455","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":"1/16","im":"0","approx_re":"0.0625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/300*(58796+6900*69^(1/2))^(1/3)+139/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"1/2*3^(1/2)*(-1/150*(58796+6900*69^(1/2))^(1/3)+278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"0.427275","approx_im":"-0.215865","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/300*(58796+6900*69^(1/2))^(1/3)+139/75/(58796+6900*69^(1/2))^(1/3)+17/75","im":"-1/2*3^(1/2)*(-1/150*(58796+6900*69^(1/2))^(1/3)+278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"0.427275","approx_im":"0.215865","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"81/50","im":"0","approx_re":"1.62","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":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[961*X^4, -6727-48050*X-134447*X^2-172794*X^3-75144*X^4, -184202-713186*X-1382715*X^2-1756478*X^3-914057*X^4, -2273850-8903076*X-13251149*X^2-8635710*X^3-3075537*X^4, -11927218-37908836*X-46269935*X^2-23766918*X^3-2064696*X^4, -30324779-80902562*X-70842936*X^2-13913564*X^3+3177385*X^4, -28683216-52833390*X-12819410*X^2+21833352*X^3+5212464*X^4, 7848260+40641496*X+61174372*X^2+31870944*X^3+2082528*X^4, -3920*(X+1)*(592*X^3-1128*X^2-5448*X-4091), -548800*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"9.10\" from ...", "degz": 9, "h3": null, "sol": "1 7 211 9217 485611 28553677 1804275109 119955054247 8282249464699 588789476900317", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 961 -6727 -48050 -134447 -172794 -75144 -184202 -713186 -1382715 -1756478 -914057 -2273850 -8903076 -13251149 -8635710 -3075537 -11927218 -37908836 -46269935 -23766918 -2064696 -30324779 -80902562 -70842936 -13913564 3177385 -28683216 -52833390 -12819410 21833352 5212464 7848260 40641496 61174372 31870944 2082528 16036720 37392880 25777920 2101120 -2320640 -9878400 -27988800 -29086400 -13171200 -2195200", "new_number": "9.10", "id": 539, "operator_tex": "31^{2} \\theta^4-31 x\\left(2424\\theta^4+5574\\theta^3+4337\\theta^2+1550\\theta+217\\right)-x^{2}\\left(184202+713186\\theta+1382715\\theta^2+1756478\\theta^3+914057\\theta^4\\right)-x^{3}\\left(2273850+8903076\\theta+13251149\\theta^2+8635710\\theta^3+3075537\\theta^4\\right)-x^{4}\\left(11927218+37908836\\theta+46269935\\theta^2+23766918\\theta^3+2064696\\theta^4\\right)-x^{5}\\left(30324779+80902562\\theta+70842936\\theta^2+13913564\\theta^3-3177385\\theta^4\\right)+2 x^{6}\\left(2606232\\theta^4+10916676\\theta^3-6409705\\theta^2-26416695\\theta-14341608\\right)+2^{2} 7 x^{7}\\left(74376\\theta^4+1138248\\theta^3+2184799\\theta^2+1451482\\theta+280295\\right)-2^{4} 5 7^{2} x^{8}(\\theta+1)(592\\theta^3-1128\\theta^2-5448\\theta-4091)-2^{6} 5^{2} 7^{3} x^{9}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "307/31 30366/31", "discriminant": "9 961 -75144 -914057 -3075537 -2064696 3177385 5212464 2082528 -2320640 -2195200", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "7a61ae3114ae9cdc48f662244260cd65", "dim_h": null, "inst": " 307/31 1814/31 30366/31 639686/31 17126962/31 518898888/31 17280572447/31 615641846034/31 23107306033773/31 903699989937266/31", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "8", "laurent": null, "discriminant_tex": "-(z+1)(z^2+z+1)(112z^2+88z-1)(-31-121z+140z^2)^2", "discr_factors": "-2195200, z^2+z+1, z+1, (-31/140-121/140*z+z^2)^2, z^2+11/14*z-1/112", "dm_basis": null, "q": "0 1 -22 113 -1364 -24042 -925398 -34133762 -1367387800 -56606473861", "yuk": "1 307/31 14819/31 820189/31 40954723/31 2140870557/31 112082994509/31 5927236349628/31 315208666124131/31 16845226099440706/31", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1","im":"0","approx_re":"-1.0","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-11/28-2/7*2^(1/2)","im":"0","approx_re":"-0.796918","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"-1/2*3^(1/2)","approx_re":"-0.5","approx_im":"-0.866025","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"1/2*3^(1/2)","approx_re":"-0.5","approx_im":"0.866025","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"121/280-1/280*32001^(1/2)","im":"0","approx_re":"-0.206744","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":"-11/28+2/7*2^(1/2)","im":"0","approx_re":"0.011204","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"121/280+1/280*32001^(1/2)","im":"0","approx_re":"1.071029","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":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 18+84*X+147*X^2+126*X^3+279*X^4, 5724+24840*X+43308*X^2+35424*X^3+33156*X^4, 905904+3426300*X+5290596*X^2+4012416*X^3+2204496*X^4, 75827664+258870816*X+354993840*X^2+240744960*X^3+90559296*X^4, 3593958336+11356303680*X+14067203904*X^2+8432512128*X^3+2389673664*X^4, 97501708800+290600441856*X+331460460288*X^2+177407760384*X^3+40587920640*X^4, 1442390395392+4144729616640*X+4464716620032*X^2+2187666247680*X^3+427737729024*X^4, 14693280768*(X+1)*(172*X^3+804*X^2+1295*X+699), 1586874322944*(X+2)*(X+1)*(2*X+3)^2]", "text": "This is operator \"9.7\" from ...", "degz": 9, "h3": null, "sol": "1 -18 378 -8676 213354 -5558868 151939044 -4315623624 126334972458 -3786769942452", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 1 18 84 147 126 279 5724 24840 43308 35424 33156 905904 3426300 5290596 4012416 2204496 75827664 258870816 354993840 240744960 90559296 3593958336 11356303680 14067203904 8432512128 2389673664 97501708800 290600441856 331460460288 177407760384 40587920640 1442390395392 4144729616640 4464716620032 2187666247680 427737729024 10270603256832 29298401851392 30841196332032 14340642029568 2527244292096 28563737812992 80930590470144 84104339116032 38084983750656 6347497291776", "new_number": "9.7", "id": 546, "operator_tex": "\\theta^4+3 x\\left(93\\theta^4+42\\theta^3+49\\theta^2+28\\theta+6\\right)+2^{2} 3^{3} x^{2}\\left(307\\theta^4+328\\theta^3+401\\theta^2+230\\theta+53\\right)+2^{2} 3^{5} x^{3}\\left(2268\\theta^4+4128\\theta^3+5443\\theta^2+3525\\theta+932\\right)+2^{4} 3^{7} x^{4}\\left(2588\\theta^4+6880\\theta^3+10145\\theta^2+7398\\theta+2167\\right)+2^{6} 3^{9} x^{5}\\left(1897\\theta^4+6694\\theta^3+11167\\theta^2+9015\\theta+2853\\right)+2^{8} 3^{11} x^{6}\\left(895\\theta^4+3912\\theta^3+7309\\theta^2+6408\\theta+2150\\right)+2^{8} 3^{13} x^{7}\\left(1048\\theta^4+5360\\theta^3+10939\\theta^2+10155\\theta+3534\\right)+2^{10} 3^{15} x^{8}(\\theta+1)(172\\theta^3+804\\theta^2+1295\\theta+699)+2^{12} 3^{18} x^{9}(\\theta+2)(\\theta+1)(2\\theta+3)^2", "superseek": "9 2564/3", "discriminant": "9 1 279 33156 2204496 90559296 2389673664 40587920640 427737729024 2527244292096 6347497291776", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "9bb7a7f3a3d5f66018396173696c194c", "dim_h": null, "inst": " 9 -72 2564/3 -12924 228024 -13237444/3 91058778 -1971474678 132890850544/3 -1025101573128", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(27z+1)(432z^2+36z+1)(36z+1)^2(648z^2+72z+1)^2", "discr_factors": "6347497291776, z^2+1/12*z+1/432, (z+1/36)^2, (z^2+1/9*z+1/648)^2, z+1/27", "dm_basis": null, "q": "0 1 12 144 1156 15108 9504 2842754 -45948936 1357161642", "yuk": "1 9 -567 23085 -827703 28503009 -953073459 31233160863 -1009395862839 32292476705277", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/18-1/36*2^(1/2)","im":"0","approx_re":"-0.094839","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"-1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/72*3^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.024056","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/27","im":"0","approx_re":"-0.037037037037","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/36","im":"0","approx_re":"-0.0277777777778","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/18+1/36*2^(1/2)","im":"0","approx_re":"-0.016272","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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","3/2","3/2","2"],"monodromy":[],"monodromy_dm":[]}]}]}