{"count": 14, "status":"OK", "data":[{"pols": "[X^4, -35*X^4-70*X^3-63*X^2-28*X-5, (X+1)^2*(259*X^2+518*X+285), -225*(X+1)^2*(X+2)^2]", "text": "", "degz": 3, "h3": "120", "sol": "1 5 45 545 7885 127905 2241225 41467725 798562125 15855173825", "n_discr_factors": "3", "c3": "-80", "operator": "4 3 0 0 0 0 1 -5 -28 -63 -70 -35 285 1088 1580 1036 259 -900 -2700 -2925 -1350 -225", "new_number": "3.1", "id": 79, "operator_tex": "\\theta^4-x\\left(35\\theta^4+70\\theta^3+63\\theta^2+28\\theta+5\\right)+x^{2}(\\theta+1)^2(259\\theta^2+518\\theta+285)-3^{2} 5^{2} x^{3}(\\theta+1)^2(\\theta+2)^2", "superseek": "1 28/3", "discriminant": "3 1 -35 259 -225", "aesz": "34", "n_sing_complex": "0", "inst_int": "", "c2h": "120", "hash": "e5461c5f5ae4d929328f66b8955a31f5", "dim_h": "30", "inst": " 1 2 28/3 52 350 7852/3 21514 189154 5252815/3 16877300", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "-(z-1)(25z-1)(9z-1)", "discr_factors": "-225, z-1/25, z-1/9, z-1", "dm_basis": ["-80*lambda", "25", "1", "1", "-5", "-60", "-1", "0", "0", "120", "0", "0", "-120", "0", "0", "0"], "q": "0 1 -8 36 -168 514 -2760 1676 -83336 -498969", "yuk": "1 1 17 253 3345 43751 565613 7379303 96850193 1276434298", "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":"1/25","im":"0","approx_re":"0.04","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/9","im":"0","approx_re":"0.111111111111","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1","im":"0","approx_re":"1.0","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -16*(6*X^2+6*X-1)*(2*X+1)^2, -1024*(60*X^2+120*X+97)*(X+1)^2, -2097152*(X+1)^2*(X+2)^2]", "text": "Operator equivalent to AESZ 220\nB-Incarnation:\nDouble octic:D.O.244\n", "degz": 3, "h3": null, "sol": "1 -16 4624 678656 238896400 78921123584 28795404472576 10989711065624576 4357137165828119824 1777961858596677574400", "n_discr_factors": "2", "c3": null, "operator": "4 3 0 0 0 0 1 16 -32 -416 -768 -384 -99328 -321536 -406528 -245760 -61440 -8388608 -25165824 -27262976 -12582912 -2097152", "new_number": "3.32", "id": 95, "operator_tex": "\\theta^4-2^{4} x(6\\theta^2+6\\theta-1)(2\\theta+1)^2-2^{10} x^{2}(60\\theta^2+120\\theta+97)(\\theta+1)^2-2^{21} x^{3}(\\theta+1)^2(\\theta+2)^2", "superseek": "128 382592", "discriminant": "3 1 -384 -61440 -2097152", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "9b39b616939718654c472dbfb37cdd4e", "dim_h": null, "inst": " 128 4084 382592 51510860 8644861312 1659459740132 349956800171136 79045292244127852 18815837160365104128 4668098318162928620860", "cleanlist": "True", "n_sing_real": "3", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "3", "laurent": null, "discriminant_tex": "-(512z-1)(1+64z)^2", "discr_factors": "-2097152, z-1/512, (1/64+z)^2", "dm_basis": null, "q": "0 1 -96 -3360 47104 -59645904 -11999339520 -2746669569536 -697657825099776 -183142363318091112", "yuk": "1 128 32800 10330112 3296727840 1080607664128 358443314231296 120035182458699776 40471189632290188064 13716745289906171239424", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","-1/2","1","3/2"],"monodromy":[],"monodromy_dm":[]},{"re":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512","im":"0","approx_re":"0.001953125","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 4662*X^4+5040*X^3+4284*X^2+1764*X+294, 53928+250152*X+461568*X^2+408096*X^3+201924*X^4, 4820931*X^4+11876706*X^3+14258673*X^2+8464554*X+2012472, 28074384+119953116*X+208154394*X^2+185689692*X^3+73172862*X^4, 109107648+700408296*X+1646581932*X^2+1849651848*X^3+779725764*X^4, -944270784+464052240*X+8294972184*X^2+12880940112*X^3+6091350984*X^4, -9916826112-9484185024*X+34683510528*X^2+63733075776*X^3+34814054016*X^4, -32812978176-31621010688*X+113222634624*X^2+212938357248*X^3+141787304064*X^4, -102174400512-197321287680*X+96705570816*X^2+469781876736*X^3+376126488576*X^4, -506625933312-1299619676160*X-793316229120*X^2+401172922368*X^3+445353541632*X^4, -15479341056*(22*X^2+98*X+105)*(X+1)^2, -743008370688*(X+1)^2*(X+2)^2]", "text": "This is operator \"12.7\" from ...", "degz": 12, "h3": null, "sol": "1 -6 54 -276 -8442 409644 -11075004 203251896 -1433414394 -74968956708", "n_discr_factors": "3", "c3": null, "operator": "4 12 0 0 0 0 49 294 1764 4284 5040 4662 53928 250152 461568 408096 201924 2012472 8464554 14258673 11876706 4820931 28074384 119953116 208154394 185689692 73172862 109107648 700408296 1646581932 1849651848 779725764 -944270784 464052240 8294972184 12880940112 6091350984 -9916826112 -9484185024 34683510528 63733075776 34814054016 -32812978176 -31621010688 113222634624 212938357248 141787304064 -102174400512 -197321287680 96705570816 469781876736 376126488576 -506625933312 -1299619676160 -793316229120 401172922368 445353541632 -1625330810880 -4767637045248 -4999827161088 -2198066429952 -340545503232 -2972033482752 -8916100448256 -9659108818944 -4458050224128 -743008370688", "new_number": "12.7", "id": 355, "operator_tex": "7^{2} \\theta^4+2 3 7 x\\left(111\\theta^4+120\\theta^3+102\\theta^2+42\\theta+7\\right)+2^{2} 3 x^{2}\\left(16827\\theta^4+34008\\theta^3+38464\\theta^2+20846\\theta+4494\\right)+3^{3} x^{3}\\left(178553\\theta^4+439878\\theta^3+528099\\theta^2+313502\\theta+74536\\right)+2 3^{3} x^{4}\\left(1355053\\theta^4+3438698\\theta^3+3854711\\theta^2+2221354\\theta+519896\\right)+2^{2} 3^{4} x^{5}\\left(2406561\\theta^4+5708802\\theta^3+5082043\\theta^2+2161754\\theta+336752\\right)+2^{3} 3^{5} x^{6}\\left(3133411\\theta^4+6625998\\theta^3+4266961\\theta^2+238710\\theta-485736\\right)+2^{6} 3^{6} x^{7}\\left(746186\\theta^4+1366021\\theta^3+743388\\theta^2-203279\\theta-212552\\right)+2^{7} 3^{7} x^{8}\\left(506499\\theta^4+760668\\theta^3+404459\\theta^2-112958\\theta-117216\\right)+2^{11} 3^{8} x^{9}\\left(27992\\theta^4+34962\\theta^3+7197\\theta^2-14685\\theta-7604\\right)+2^{14} 3^{9} x^{10}\\left(1381\\theta^4+1244\\theta^3-2460\\theta^2-4030\\theta-1571\\right)-2^{18} 3^{10} x^{11}(22\\theta^2+98\\theta+105)(\\theta+1)^2-2^{22} 3^{11} x^{12}(\\theta+1)^2(\\theta+2)^2", "superseek": "-24/7 117", "discriminant": "12 49 4662 201924 4820931 73172862 779725764 6091350984 34814054016 141787304064 376126488576 445353541632 -340545503232 -743008370688", "aesz": null, "n_sing_complex": "4", "inst_int": "", "c2h": null, "hash": "fedf397077a0af56af404f5156e1b5c0", "dim_h": null, "inst": " -24/7 -24/7 117 -564 948/7 1637822/21 -8578422/7 39403416/7 8849832647/63 -26426669112/7", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "10", "laurent": null, "discriminant_tex": "-(6z+1)(10368z^5-864z^4-7371z^3-1440z^2-60z-1)(7+102z+648z^2+3456z^3)^2", "discr_factors": "-743008370688, (7/3456+17/576*z+3/16*z^2+z^3)^2, z+1/6, z^5-1/12*z^4-91/128*z^3-5/36*z^2-5/864*z-1/10368", "dm_basis": null, "q": "0 1 12 132 634 3714 13896 -406157 1018728 11608011", "yuk": "1 -24/7 -216/7 22089/7 -252888/7 118476/7 117945081/7 -2942398770/7 20174296104/7 716836466496/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/6","im":"0","approx_re":"-0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/144*(999+6*79413^(1/2))^(1/3)+41/48/(999+6*79413^(1/2))^(1/3)-1/16","im":"0","approx_re":"-0.097659","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/288*(999+6*79413^(1/2))^(1/3)-41/96/(999+6*79413^(1/2))^(1/3)-1/16","im":"1/12*3^(1/2)*(-1/24*(999+6*79413^(1/2))^(1/3)-41/8/(999+6*79413^(1/2))^(1/3))","approx_re":"-0.04492","approx_im":"-0.136829","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/288*(999+6*79413^(1/2))^(1/3)-41/96/(999+6*79413^(1/2))^(1/3)-1/16","im":"-1/12*3^(1/2)*(-1/24*(999+6*79413^(1/2))^(1/3)-41/8/(999+6*79413^(1/2))^(1/3))","approx_re":"-0.04492","approx_im":"0.136829","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":"#ND","im":"#ND","approx_re":"#ND","approx_im":"#ND","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -384*X^2+384*X+112-1536*X^3+4608*X^4, -57344+3588096*X^2+7077888*X^4+786432*X-1966080*X^3, -55574528+201326592*X+4043309056*X^4+1207959552*X^3+1086324736*X^2, -2134598746112*X-721554505728-1546188226560*X^3-2472827420672*X^2+682899800064*X^4, -3878252389072896*X^2-2179232046252032*X^3-966745598722048-3097874011258880*X-87960930222080*X^4, -1038079714108899328*X^2-515099207380500480*X^3-37717646879227904*X^4-1009087791507701760*X-336362597169233920, 169695633959320289280*X^2-25652503477502345216*X^3+206517064512701464576*X+86397055251475595264-13474770085092524032*X^4, -7452484605778658852864*X^3-3357307421415138394112*X^4+34975026763753309863936+39439138829591021355008*X^2+74524846057786588528640*X, 3985677311541980560359424*X^2+1303373149272022078980096+2266735911777429702574080*X^3-37778931862957161709568*X^4+3740114254432759009247232*X, 793055337667196738607251456+851083777008698938993147904*X^3+2359823199887756149026455552*X^2+19342813113834066795298816*X^4+2340480386773922082231156736*X, 4951760157141521099596496896*(X^2+2*X+2)*(X+1)^2, 2535301200456458802993406410752*(X+1)^2*(X+2)^2]", "text": "This is operator \"12.9\" from ...", "degz": 12, "h3": null, "sol": "1 -112 25872 -5691136 1522998544 -407085549312 119255489896704 -35539835658399744 11159992408909880592 -3577172180560064681728", "n_discr_factors": "5", "c3": null, "operator": "4 12 0 0 0 0 1 112 384 -384 -1536 4608 -57344 786432 3588096 -1966080 7077888 -55574528 201326592 1086324736 1207959552 4043309056 -721554505728 -2134598746112 -2472827420672 -1546188226560 682899800064 -966745598722048 -3097874011258880 -3878252389072896 -2179232046252032 -87960930222080 -336362597169233920 -1009087791507701760 -1038079714108899328 -515099207380500480 -37717646879227904 86397055251475595264 206517064512701464576 169695633959320289280 -25652503477502345216 -13474770085092524032 34975026763753309863936 74524846057786588528640 39439138829591021355008 -7452484605778658852864 -3357307421415138394112 1303373149272022078980096 3740114254432759009247232 3985677311541980560359424 2266735911777429702574080 -37778931862957161709568 793055337667196738607251456 2340480386773922082231156736 2359823199887756149026455552 851083777008698938993147904 19342813113834066795298816 9903520314283042199192993792 29710560942849126597578981376 34662321099990647697175478272 19807040628566084398385987584 4951760157141521099596496896 10141204801825835211973625643008 30423614405477505635920876929024 32958915605933964438914283339776 15211807202738752817960438464512 2535301200456458802993406410752", "new_number": "12.9", "id": 361, "operator_tex": "\\theta^4+2^{4} x\\left(288\\theta^4-96\\theta^3-24\\theta^2+24\\theta+7\\right)+2^{13} x^{2}\\left(864\\theta^4-240\\theta^3+438\\theta^2+96\\theta-7\\right)+2^{20} x^{3}\\left(3856\\theta^4+1152\\theta^3+1036\\theta^2+192\\theta-53\\right)+2^{30} x^{4}\\left(636\\theta^4-1440\\theta^3-2303\\theta^2-1988\\theta-672\\right)-2^{38} x^{5}\\left(320\\theta^4+7928\\theta^3+14109\\theta^2+11270\\theta+3517\\right)-2^{48} x^{6}\\left(134\\theta^4+1830\\theta^3+3688\\theta^2+3585\\theta+1195\\right)-2^{56} x^{7}\\left(187\\theta^4+356\\theta^3-2355\\theta^2-2866\\theta-1199\\right)-2^{65} x^{8}\\left(91\\theta^4+202\\theta^3-1069\\theta^2-2020\\theta-948\\right)-2^{74} x^{9}\\left(2\\theta^4-120\\theta^3-211\\theta^2-198\\theta-69\\right)+2^{84} x^{10}\\left(\\theta^4+44\\theta^3+122\\theta^2+121\\theta+41\\right)+2^{92} x^{11}(\\theta^2+2\\theta+2)(\\theta+1)^2+2^{101} x^{12}(\\theta+1)^2(\\theta+2)^2", "superseek": "800 38825120", "discriminant": "12 1 4608 7077888 4043309056 682899800064 -87960930222080 -37717646879227904 -13474770085092524032 -3357307421415138394112 -37778931862957161709568 19342813113834066795298816 4951760157141521099596496896 2535301200456458802993406410752", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "7e2f8423069147eb36cfd1d714d1996a", "dim_h": null, "inst": " 800 -121088 38825120 -15641910336 7303803435104 -3757025938916608 2067113576842034720 -1195120836090276119616 717793785040806933094144 -444314199236824978685657856", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "(256z-1)(512z+1)(65536z^2-256z-1)(256z+1)^2(67108864z^3+1792z+1)^2", "discr_factors": "2535301200456458802993406410752, z+1/512, z^2-1/256*z-1/65536, (z+1/256)^2, z-1/256, (z^3+7/262144*z+1/67108864)^2", "dm_basis": null, "q": "0 1 -64 18528 -14309376 8332516912 -5018612926464 3187444513858048 -2090057652965605376 1403072112583866473112", "yuk": "1 800 -967904 1048279040 -1001083229408 912975429388800 -811517601758676992 709019956856817909760 -611901868079222456472800 523271669294748255273910016", "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":"1/512-1/512*5^(1/2)","im":"0","approx_re":"-0.002414","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":"-1/1536*(27+3*1110^(1/2))^(1/3)+7/512/(27+3*1110^(1/2))^(1/3)","im":"0","approx_re":"-0.000552","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":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"-0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"-1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512+1/512*5^(1/2)","im":"0","approx_re":"0.00632","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 112+384*X-384*X^2-1536*X^3+3840*X^4, -143360+491520*X+3883008*X^2-786432*X^3+3735552*X^4, 10485760-327155712*X-1744830464*X^2+2415919104*X^3-503316480*X^4, -692026605568-2141041197056*X-2595233988608*X^2-2834678415360*X^3-1108101562368*X^4, -422556062449664-1432113895178240*X-1825739057922048*X^2-721279627821056*X^3+63771674411008*X^4, 265167020247482368+947022559143002112*X+1436014962433589248*X^2+834291830970384384*X^3+96264442035044352*X^4, 166759287002274725888+408242299021880721408*X+245932568451448045568*X^2-32570032505143427072*X^3-13258597302978740224*X^4, -81290189446819566583808-230501290573037702217728*X-229915606448697423953920*X^2-52462540145629964795904*X^3+1051464412201444442112*X^4, -2927867219379180032491520+4037623342853546657710080*X+24476025480713371142586368*X^2+11588687348962109354409984*X^3+524182679598530618720256*X^4, 5218932763276354147206561792+10655472174083341545860235264*X+4205852926439294898802786304*X^2-1924609904826489646132232192*X^3-385647336457066706731270144*X^4, -929692969503320586449242292224-2282761432442241226913985069056*X-1655744802544196117677578649600*X^2-63134942003554394019855335424*X^3+38995111237489478659322413056*X^4, 136589352174591718011269770379264+405014366772919293778196674117632*X+403429803522634007026325795110912*X^2+129300361223279398952663726948352*X^3+3169126500570573503741758013440*X^4, -19146594665847176880206205213999104-56790746890224677187052303600844800*X-58088821104858384094184927683149824*X^2-22067261648773017421254609399185408*X^3-1298074214633706907132624082305024*X^4, 83076749736557242056487941267521536*(5*X^2+22*X+22)*(X+1)^2, -42535295865117307932921825928971026432*(X+1)^2*(X+2)^2]", "text": "This is operator \"15.1\" from ...", "degz": 15, "h3": null, "sol": "1 -112 25872 -5691136 1522998544 -407085549312 119255489896704 -35539835658399744 11159992408909880592 -3577172180560064681728", "n_discr_factors": "5", "c3": null, "operator": "4 15 0 0 0 0 1 112 384 -384 -1536 3840 -143360 491520 3883008 -786432 3735552 10485760 -327155712 -1744830464 2415919104 -503316480 -692026605568 -2141041197056 -2595233988608 -2834678415360 -1108101562368 -422556062449664 -1432113895178240 -1825739057922048 -721279627821056 63771674411008 265167020247482368 947022559143002112 1436014962433589248 834291830970384384 96264442035044352 166759287002274725888 408242299021880721408 245932568451448045568 -32570032505143427072 -13258597302978740224 -81290189446819566583808 -230501290573037702217728 -229915606448697423953920 -52462540145629964795904 1051464412201444442112 -2927867219379180032491520 4037623342853546657710080 24476025480713371142586368 11588687348962109354409984 524182679598530618720256 5218932763276354147206561792 10655472174083341545860235264 4205852926439294898802786304 -1924609904826489646132232192 -385647336457066706731270144 -929692969503320586449242292224 -2282761432442241226913985069056 -1655744802544196117677578649600 -63134942003554394019855335424 38995111237489478659322413056 136589352174591718011269770379264 405014366772919293778196674117632 403429803522634007026325795110912 129300361223279398952663726948352 3169126500570573503741758013440 -19146594665847176880206205213999104 -56790746890224677187052303600844800 -58088821104858384094184927683149824 -22067261648773017421254609399185408 -1298074214633706907132624082305024 1827688494204259325242734707885473792 5483065482612777975728204123656421376 5898449231295564186010643829994029056 2658455991569831745807614120560689152 415383748682786210282439706337607680 -170141183460469231731687303715884105728 -510423550381407695195061911147652317184 -552958846246525003127983737076623343616 -255211775190703847597530955573826158592 -42535295865117307932921825928971026432", "new_number": "15.1", "id": 369, "operator_tex": "\\theta^4+2^{4} x\\left(240\\theta^4-96\\theta^3-24\\theta^2+24\\theta+7\\right)+2^{12} x^{2}\\left(912\\theta^4-192\\theta^3+948\\theta^2+120\\theta-35\\right)-2^{21} x^{3}\\left(240\\theta^4-1152\\theta^3+832\\theta^2+156\\theta-5\\right)-2^{29} x^{4}\\left(2064\\theta^4+5280\\theta^3+4834\\theta^2+3988\\theta+1289\\right)+2^{36} x^{5}\\left(928\\theta^4-10496\\theta^3-26568\\theta^2-20840\\theta-6149\\right)+2^{44} x^{6}\\left(5472\\theta^4+47424\\theta^3+81628\\theta^2+53832\\theta+15073\\right)-2^{54} x^{7}\\left(736\\theta^4+1808\\theta^3-13652\\theta^2-22662\\theta-9257\\right)+2^{62} x^{8}\\left(228\\theta^4-11376\\theta^3-49855\\theta^2-49982\\theta-17627\\right)+2^{72} x^{9}\\left(111\\theta^4+2454\\theta^3+5183\\theta^2+855\\theta-620\\right)-2^{80} x^{10}\\left(319\\theta^4+1592\\theta^3-3479\\theta^2-8814\\theta-4317\\right)+2^{89} x^{11}\\left(63\\theta^4-102\\theta^3-2675\\theta^2-3688\\theta-1502\\right)+2^{98} x^{12}\\left(10\\theta^4+408\\theta^3+1273\\theta^2+1278\\theta+431\\right)-2^{108} x^{13}\\left(4\\theta^4+68\\theta^3+179\\theta^2+175\\theta+59\\right)+2^{116} x^{14}(5\\theta^2+22\\theta+22)(\\theta+1)^2-2^{125} x^{15}(\\theta+1)^2(\\theta+2)^2", "superseek": "800 38825120", "discriminant": "15 1 3840 3735552 -503316480 -1108101562368 63771674411008 96264442035044352 -13258597302978740224 1051464412201444442112 524182679598530618720256 -385647336457066706731270144 38995111237489478659322413056 3169126500570573503741758013440 -1298074214633706907132624082305024 415383748682786210282439706337607680 -42535295865117307932921825928971026432", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "c26e6797c51f4c09c1dfbc9e354ce168", "dim_h": null, "inst": " 800 -121088 38825120 -15641910336 7303803435104 -3757025938916608 2067113576842034720 -1195120836090276119616 717793785040806933094144 -444314199236824978685657856", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "9", "laurent": null, "discriminant_tex": "-(512z+1)(65536z^2-256z-1)(256z+1)^2(67108864z^3+1792z+1)^2(256z-1)^4", "discr_factors": "-42535295865117307932921825928971026432, z^2-1/256*z-1/65536, (z+1/256)^2, (z^3+7/262144*z+1/67108864)^2, z+1/512, (z-1/256)^4", "dm_basis": null, "q": "0 1 -64 18528 -14309376 8332516912 -5018612926464 3187444513858048 -2090057652965605376 1403072112583866473112", "yuk": "1 800 -967904 1048279040 -1001083229408 912975429388800 -811517601758676992 709019956856817909760 -611901868079222456472800 523271669294748255273910016", "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":"1/512-1/512*5^(1/2)","im":"0","approx_re":"-0.002414","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":"-1/1536*(27+3*1110^(1/2))^(1/3)+7/512/(27+3*1110^(1/2))^(1/3)","im":"0","approx_re":"-0.000552","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":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"-0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/3072*(27+3*1110^(1/2))^(1/3)-7/1024/(27+3*1110^(1/2))^(1/3)","im":"-1/512*3^(1/2)*(-1/6*(27+3*1110^(1/2))^(1/3)-7/2/(27+3*1110^(1/2))^(1/3))","approx_re":"0.000276","approx_im":"0.00519","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/256","im":"0","approx_re":"0.00390625","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/512+1/512*5^(1/2)","im":"0","approx_re":"0.00632","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -33*X^4-258*X^3-199*X^2-70*X-10, -5520*X^4-9600*X^3+692*X^2+2536*X+740, -117200*X^4-42720*X^3+10688*X^2+16560*X+4640, -114816*X^4+448512*X^3+1287424*X^2+1086976*X+311680, 4096*(X+1)^2*(858*X^2+1566*X+745), -3276800*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.12\" from ...", "degz": 6, "h3": null, "sol": "1 10 310 14860 869590 57014860 4024236100 299128325800 23104017380950 1838044630719100", "n_discr_factors": "5", "c3": null, "operator": "4 6 0 0 0 0 1 -10 -70 -199 -258 -33 740 2536 692 -9600 -5520 4640 16560 10688 -42720 -117200 311680 1086976 1287424 448512 -114816 3051520 12517376 19394560 13443072 3514368 -13107200 -39321600 -42598400 -19660800 -3276800", "new_number": "6.12", "id": 395, "operator_tex": "\\theta^4-x\\left(33\\theta^4+258\\theta^3+199\\theta^2+70\\theta+10\\right)-2^{2} x^{2}\\left(1380\\theta^4+2400\\theta^3-173\\theta^2-634\\theta-185\\right)-2^{4} x^{3}\\left(7325\\theta^4+2670\\theta^3-668\\theta^2-1035\\theta-290\\right)-2^{7} x^{4}\\left(897\\theta^4-3504\\theta^3-10058\\theta^2-8492\\theta-2435\\right)+2^{12} x^{5}(\\theta+1)^2(858\\theta^2+1566\\theta+745)-2^{17} 5^{2} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "19 2263", "discriminant": "6 1 -33 -5520 -117200 -114816 3514368 -3276800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "86993fb7955dee498aab7e103a0f457e", "dim_h": null, "inst": " 19 -18 2263 4184 1097345 12217112 965281170 21986059456 1218464045842 39759333040770", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "6", "laurent": null, "discriminant_tex": "-(z-1)(8z+1)(100z-1)(4z-1)(1+32z)^2", "discr_factors": "-3276800, z-1/4, (1/32+z)^2, z+1/8, z-1, z-1/100", "dm_basis": null, "q": "0 1 -30 501 -11632 224526 -7132278 126434290 -5962371648 60699791931", "yuk": "1 19 -125 61120 267651 137168144 2638957168 331091441329 11256862709123 888260289479938", "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","im":"0","approx_re":"-0.03125","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":"1/100","im":"0","approx_re":"0.01","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","im":"0","approx_re":"1.0","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, 48+224*X+352*X^2+256*X^3+896*X^4, 35840+178176*X+355328*X^2+278528*X^3+315392*X^4, 18087936+73924608*X+123994112*X^2+100663296*X^3+55574528*X^4, 4160749568+15166603264*X+21944598528*X^2+15569256448*X^3+5167382528*X^4, 34359738368*(7*X^2+17*X+13)*(X+1)^2, 4398046511104*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.15\" from ...", "degz": 6, "h3": null, "sol": "1 -48 3088 -231168 19207440 -1725512448 164534857984 -16421904052224 1697528370486544 -180303323253277440", "n_discr_factors": "3", "c3": null, "operator": "4 6 0 0 0 0 1 48 224 352 256 896 35840 178176 355328 278528 315392 18087936 73924608 123994112 100663296 55574528 4160749568 15166603264 21944598528 15569256448 5167382528 446676598784 1477468749824 1855425871872 1065151889408 240518168576 17592186044416 52776558133248 57174604644352 26388279066624 4398046511104", "new_number": "6.15", "id": 398, "operator_tex": "\\theta^4+2^{4} x\\left(56\\theta^4+16\\theta^3+22\\theta^2+14\\theta+3\\right)+2^{10} x^{2}\\left(308\\theta^4+272\\theta^3+347\\theta^2+174\\theta+35\\right)+2^{18} x^{3}\\left(212\\theta^4+384\\theta^3+473\\theta^2+282\\theta+69\\right)+2^{26} x^{4}\\left(77\\theta^4+232\\theta^3+327\\theta^2+226\\theta+62\\right)+2^{35} x^{5}(7\\theta^2+17\\theta+13)(\\theta+1)^2+2^{42} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "64 76608", "discriminant": "6 1 896 315392 55574528 5167382528 240518168576 4398046511104", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "0130ee676bad42a2e117bca3367f8cf0", "dim_h": null, "inst": " 64 -1732 76608 -4429212 296488640 -21825120372 1717018912320 -141880104014716 12174942318185984 -1076499728934938412", "cleanlist": "True", "n_sing_real": "4", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "4", "laurent": null, "discriminant_tex": "(64z+1)^2(128z+1)^2(256z+1)^2", "discr_factors": "4398046511104, (z+1/64)^2, (z+1/128)^2, (z+1/256)^2", "dm_basis": null, "q": "0 1 32 992 10240 1229872 -66671616 7069121024 -658220711936 64281432183448", "yuk": "1 64 -13792 2068480 -283483360 37061080064 -4714223945728 588937486925824 -72642613539017952 8875532949959650816", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/64","im":"0","approx_re":"-0.015625","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/128","im":"0","approx_re":"-0.0078125","approx_im":"0.0","exponents":["0","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/256","im":"0","approx_re":"-0.00390625","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[X^4, -80-960*X-5312*X^2-8704*X^3+7168*X^4, 143360+2736128*X+11501568*X^2-34471936*X^3+10551296*X^4, -699400192-3334471680*X-5653921792*X^2-5838471168*X^3-9529458688*X^4, -2415919104*(2*X+1)*(744*X^3+940*X^2+798*X+167), 37108517437440*(16*X^2+40*X+33)*(X+1)^2, 189995609279692800*(X+1)^2*(X+2)^2]", "text": "This is operator \"6.16\" from ...", "degz": 6, "h3": null, "sol": "1 80 30480 9850112 4649741584 2264167322880 1229814448800000 696508535721676800 412347129435862310160 251255806159573896254720", "n_discr_factors": "4", "c3": null, "operator": "4 6 0 0 0 0 1 -80 -960 -5312 -8704 7168 143360 2736128 11501568 -34471936 10551296 -699400192 -3334471680 -5653921792 -5838471168 -9529458688 -403458490368 -2734820425728 -6126770847744 -6339371728896 -3594887626752 1224581075435520 3933502848368640 4786998749429760 2671813255495680 593736278999040 759982437118771200 2279947311356313600 2469942920636006400 1139973655678156800 189995609279692800", "new_number": "6.16", "id": 399, "operator_tex": "\\theta^4+2^{4} x\\left(448\\theta^4-544\\theta^3-332\\theta^2-60\\theta-5\\right)+2^{12} x^{2}\\left(2576\\theta^4-8416\\theta^3+2808\\theta^2+668\\theta+35\\right)-2^{20} x^{3}\\left(9088\\theta^4+5568\\theta^3+5392\\theta^2+3180\\theta+667\\right)-2^{28} 3^{2} x^{4}(2\\theta+1)(744\\theta^3+940\\theta^2+798\\theta+167)+2^{38} 3^{3} 5 x^{5}(16\\theta^2+40\\theta+33)(\\theta+1)^2+2^{48} 3^{3} 5^{2} x^{6}(\\theta+1)^2(\\theta+2)^2", "superseek": "2272 434311008", "discriminant": "6 1 7168 10551296 -9529458688 -3594887626752 593736278999040 189995609279692800", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "f30ffc268310c175e914066ee270f47b", "dim_h": null, "inst": " 2272 -719992 434311008 -343376572072 316225589496736 -321072938540815640 348896247091828272608 -398556095609830140802088 473068944329846722946244864 -578798984312874623996834074536", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(768z-1)(256z-1)(256z+1)^2(3840z+1)^2", "discr_factors": "189995609279692800, (z+1/3840)^2, z-1/256, (z+1/256)^2, z-1/768", "dm_basis": null, "q": "0 1 -640 536928 -540162048 603003257392 -719331333439488 898066818257433088 -1158932064480973291520 1533592969291457282386584", "yuk": "1 2272 -5757664 11726399488 -21976106370272 39528198687094272 -69351754713095538688 119671412752497097506816 -204060720952255008197039328 344867260416458261039538905344", "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":"-1/3840","im":"0","approx_re":"-0.000260416666667","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":"1/768","im":"0","approx_re":"0.00130208333333","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","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[25*X^4, -3380*X^4-4120*X^3-3710*X^2-1650*X-300, 185584*X^4+413632*X^3+501164*X^2+305480*X+76320, -5544384*X^4-17179008*X^3-25159152*X^2-18009840*X-5113440, 99910656*X^4+385357824*X^3+644136192*X^2+508886784*X+154972224, -1120960512*X^4-5065998336*X^3-9322573824*X^2-7852363776*X-2491250688, 7686586368*X^4+39154876416*X^3+77370163200*X^2+67974266880*X+22084337664, -509607936*(X+1)^2*(58*X^2+208*X+201), 48922361856*(X+1)^2*(X+2)^2]", "text": "This is operator \"8.79\" from ...", "degz": 8, "h3": null, "sol": "1 12 204 4368 112140 3300912 107091024 3718116288 135443387916 5110962695760", "n_discr_factors": "4", "c3": null, "operator": "4 8 0 0 0 0 25 -300 -1650 -3710 -4120 -3380 76320 305480 501164 413632 185584 -5113440 -18009840 -25159152 -17179008 -5544384 154972224 508886784 644136192 385357824 99910656 -2491250688 -7852363776 -9322573824 -5065998336 -1120960512 22084337664 67974266880 77370163200 39154876416 7686586368 -102431195136 -310860840960 -343985356800 -165112971264 -29557260288 195689447424 587068342272 635990704128 293534171136 48922361856", "new_number": "8.79", "id": 528, "operator_tex": "5^{2} \\theta^4-2 5 x\\left(338\\theta^4+412\\theta^3+371\\theta^2+165\\theta+30\\right)+2^{2} x^{2}\\left(46396\\theta^4+103408\\theta^3+125291\\theta^2+76370\\theta+19080\\right)-2^{4} 3 x^{3}\\left(115508\\theta^4+357896\\theta^3+524149\\theta^2+375205\\theta+106530\\right)+2^{6} 3^{2} x^{4}\\left(173456\\theta^4+669024\\theta^3+1118292\\theta^2+883484\\theta+269049\\right)-2^{11} 3^{3} x^{5}\\left(20272\\theta^4+91616\\theta^3+168594\\theta^2+142006\\theta+45053\\right)+2^{14} 3^{4} x^{6}\\left(5792\\theta^4+29504\\theta^3+58300\\theta^2+51220\\theta+16641\\right)-2^{21} 3^{5} x^{7}(\\theta+1)^2(58\\theta^2+208\\theta+201)+2^{26} 3^{6} x^{8}(\\theta+1)^2(\\theta+2)^2", "superseek": "22/5 68", "discriminant": "8 25 -3380 185584 -5544384 99910656 -1120960512 7686586368 -29557260288 48922361856", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "064e5b590dd8b6a4daa1e905fbe693c2", "dim_h": null, "inst": " 22/5 8 68 3292/5 38826/5 1517408/15 7418706/5 115188852/5 1132445042/3 32217796776/5", "cleanlist": "True", "n_sing_real": "5", "sol_explicit": "", "n_sing_rational": "5", "n_sing": "5", "laurent": null, "discriminant_tex": "(-1+48z)(16z-1)^2(48z-5)^2(12z-1)^3", "discr_factors": "48922361856, (z-1/12)^3, (z-1/16)^2, -1/48+z, (z-5/48)^2", "dm_basis": null, "q": "0 1 -18 233 -2988 33412 -382914 3792338 -42902088 352614016", "yuk": "1 22/5 342/5 9202/5 42206 4853272/5 109262898/5 508923236 58976903254/5 1375920735232/5", "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":"1/48","im":"0","approx_re":"0.0208333333333","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","1/2","1/2","1"],"monodromy":[],"monodromy_dm":[]},{"re":"1/12","im":"0","approx_re":"0.0833333333333","approx_im":"0.0","exponents":["0","1/2","3/2","2"],"monodromy":[],"monodromy_dm":[]},{"re":"5/48","im":"0","approx_re":"0.104166666667","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, -7*X*(-7-32*X-50*X^2+29*X^3), 3*X*(532+1165*X+512*X^2+1235*X^3), -285768-932148*X-1106874*X^2-522720*X^3-96714*X^4, 5766768+16693560*X+17337132*X^2+7356960*X^3+1167804*X^4, -38343456-110859840*X-117297720*X^2-54657504*X^3-9025992*X^4, 140823360+456272352*X+543814560*X^2+279656064*X^3+47900160*X^4, -580214016-1802227968*X-2037187584*X^2-990600192*X^3-176173056*X^4, 4478976*(96*X^2+300*X+265)*(X+1)^2, -644972544*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.1\" from ...", "degz": 9, "h3": null, "sol": "1 0 0 72 -432 0 45000 -529200 1587600 43747200", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 49 0 49 224 350 -203 0 1596 3495 1536 3705 -285768 -932148 -1106874 -522720 -96714 5766768 16693560 17337132 7356960 1167804 -38343456 -110859840 -117297720 -54657504 -9025992 140823360 456272352 543814560 279656064 47900160 -580214016 -1802227968 -2037187584 -990600192 -176173056 1186928640 3717550080 4304295936 2203656192 429981696 -2579890176 -7739670528 -8384643072 -3869835264 -644972544", "new_number": "9.1", "id": 540, "operator_tex": "7^{2} \\theta^4-7 x\\theta(-7-32\\theta-50\\theta^2+29\\theta^3)+3 x^{2}\\theta(532+1165\\theta+512\\theta^2+1235\\theta^3)-2 3^{2} x^{3}\\left(5373\\theta^4+29040\\theta^3+61493\\theta^2+51786\\theta+15876\\right)+2^{2} 3^{3} x^{4}\\left(10813\\theta^4+68120\\theta^3+160529\\theta^2+154570\\theta+53396\\right)-2^{3} 3^{4} x^{5}\\left(13929\\theta^4+84348\\theta^3+181015\\theta^2+171080\\theta+59172\\right)+2^{5} 3^{5} x^{6}\\left(6160\\theta^4+35964\\theta^3+69935\\theta^2+58677\\theta+18110\\right)-2^{8} 3^{6} x^{7}\\left(944\\theta^4+5308\\theta^3+10916\\theta^2+9657\\theta+3109\\right)+2^{11} 3^{7} x^{8}(96\\theta^2+300\\theta+265)(\\theta+1)^2-2^{15} 3^{9} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "-4/7 955/63", "discriminant": "9 49 -203 3705 -96714 1167804 -9025992 47900160 -176173056 429981696 -644972544", "aesz": null, "n_sing_complex": "6", "inst_int": "", "c2h": null, "hash": "d32eab6005ac34ecc01a9db7675daa24", "dim_h": null, "inst": " -4/7 -4/7 955/63 -262/7 -1002/7 125282/63 -70725/7 -169650/7 5726111/7 -38133120/7", "cleanlist": "True", "n_sing_real": "2", "sol_explicit": "", "n_sing_rational": "2", "n_sing": "8", "laurent": null, "discriminant_tex": "-(6z-1)(27z^2-9z+1)(192z^2+16z+1)(7-18z+144z^2)^2", "discr_factors": "-644972544, z^2+1/12*z+1/192, z-1/6, z^2-1/3*z+1/27, (7/144-1/8*z+z^2)^2", "dm_basis": null, "q": "0 1 1 3 -133 254 1761 -6929 33685 150642", "yuk": "1 -4/7 -36/7 2861/7 -16804/7 -125254/7 3009597/7 -24258679/7 -86877604/7 4174337780/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-1/24","im":"-1/24*2^(1/2)","approx_re":"-0.0416666666667","approx_im":"-0.058926","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/24","im":"1/24*2^(1/2)","approx_re":"-0.0416666666667","approx_im":"0.058926","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":"-1/48*103^(1/2)","approx_re":"0.0625","approx_im":"-0.211435","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/16","im":"1/48*103^(1/2)","approx_re":"0.0625","approx_im":"0.211435","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"-1/18*3^(1/2)","approx_re":"0.166666666667","approx_im":"-0.096225","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"0","approx_re":"0.166666666667","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/6","im":"1/18*3^(1/2)","approx_re":"0.166666666667","approx_im":"0.096225","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[49*X^4, 7*X*(165*X^3-102*X^2-65*X-14), -7360*X^4-93808*X^3-122216*X^2-75824*X-18816, -581040*X^4-2815776*X^3-4198608*X^2-2981664*X-829584, -9575424*X^4-41359104*X^3-64968192*X^2-48487680*X-14045184, -85045248*X^4-362741760*X^3-594708480*X^2-455307264*X-133816320, -461168640*X^4-2024497152*X^3-3506872320*X^2-2780946432*X-835411968, -1532805120*X^4-7174324224*X^3-13213974528*X^2-10964533248*X-3404021760, -191102976*(X+1)^2*(15*X^2+48*X+43), -2293235712*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.2\" from ...", "degz": 9, "h3": null, "sol": "1 0 24 144 3240 43200 819600 14112000 269980200 5129712000", "n_discr_factors": "6", "c3": null, "operator": "4 9 0 0 0 0 49 0 -98 -455 -714 1155 -18816 -75824 -122216 -93808 -7360 -829584 -2981664 -4198608 -2815776 -581040 -14045184 -48487680 -64968192 -41359104 -9575424 -133816320 -455307264 -594708480 -362741760 -85045248 -835411968 -2780946432 -3506872320 -2024497152 -461168640 -3404021760 -10964533248 -13213974528 -7174324224 -1532805120 -8217427968 -25607798784 -29429858304 -14906032128 -2866544640 -9172942848 -27518828544 -29812064256 -13759414272 -2293235712", "new_number": "9.2", "id": 541, "operator_tex": "7^{2} \\theta^4+7 x\\theta(165\\theta^3-102\\theta^2-65\\theta-14)-2^{3} x^{2}\\left(920\\theta^4+11726\\theta^3+15277\\theta^2+9478\\theta+2352\\right)-2^{4} 3^{2} x^{3}\\left(4035\\theta^4+19554\\theta^3+29157\\theta^2+20706\\theta+5761\\right)-2^{8} 3^{2} x^{4}\\left(4156\\theta^4+17951\\theta^3+28198\\theta^2+21045\\theta+6096\\right)-2^{11} 3^{3} x^{5}\\left(1538\\theta^4+6560\\theta^3+10755\\theta^2+8234\\theta+2420\\right)-2^{13} 3^{4} x^{6}\\left(695\\theta^4+3051\\theta^3+5285\\theta^2+4191\\theta+1259\\right)-2^{14} 3^{5} x^{7}\\left(385\\theta^4+1802\\theta^3+3319\\theta^2+2754\\theta+855\\right)-2^{18} 3^{6} x^{8}(\\theta+1)^2(15\\theta^2+48\\theta+43)-2^{20} 3^{7} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "9/7 49/3", "discriminant": "9 49 1155 -7360 -581040 -9575424 -85045248 -461168640 -1532805120 -2866544640 -2293235712", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "356d4564e48d7a04e815fa223b6ccc46", "dim_h": null, "inst": " 9/7 47/7 49/3 1370/7 10063/7 304210/21 1079550/7 12454396/7 148504324/7 1876369987/7", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "6", "n_sing": "8", "laurent": null, "discriminant_tex": "-(8z+1)(24z-1)(3z+1)(4z+1)(12z+1)(7+72z+288z^2)^2", "discr_factors": "-2293235712, z-1/24, z+1/4, (7/288+1/4*z+z^2)^2, z+1/12, z+1/3, z+1/8", "dm_basis": null, "q": "0 1 -2 -43 -8 346 -5194 -66778 -677888 -9329903", "yuk": "1 9/7 55 3096/7 88065/7 1257884/7 21906592/7 370285659/7 6376738817/7 108259655292/7", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"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":"-1/8","im":"-1/24*5^(1/2)","approx_re":"-0.125","approx_im":"-0.093169","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"0","approx_re":"-0.125","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/8","im":"1/24*5^(1/2)","approx_re":"-0.125","approx_im":"0.093169","exponents":["0","1","3","4"],"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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/24","im":"0","approx_re":"0.0416666666667","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[9*X^4, -36-261*X-735*X^2-948*X^3-456*X^4, -5808-25608*X-43193*X^2-31076*X^3-8807*X^4, -105792-370584*X-470174*X^2-212640*X^3-21266*X^4, -701504-2034816*X-1737868*X^2+76576*X^3+262604*X^4, -1469760-2153840*X+2176424*X^2+5160480*X^3+1211976*X^4, 2029056+11852544*X+21318400*X^2+13432320*X^3-866816*X^4, 5708800+13959168*X+3885056*X^2-14409728*X^3-11699200*X^4, -32768*(590*X^2+1126*X+597)*(X+1)^2, -9437184*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.5\" from ...", "degz": 9, "h3": null, "sol": "1 4 108 3496 137548 6004704 281273976 13848121872 707622721164 37215146789392", "n_discr_factors": "5", "c3": null, "operator": "4 9 0 0 0 0 9 -36 -261 -735 -948 -456 -5808 -25608 -43193 -31076 -8807 -105792 -370584 -470174 -212640 -21266 -701504 -2034816 -1737868 76576 262604 -1469760 -2153840 2176424 5160480 1211976 2029056 11852544 21318400 13432320 -866816 5708800 13959168 3885056 -14409728 -11699200 -19562496 -76021760 -112689152 -75563008 -19333120 -37748736 -113246208 -122683392 -56623104 -9437184", "new_number": "9.5", "id": 544, "operator_tex": "3^{2} \\theta^4-3 x\\left(152\\theta^4+316\\theta^3+245\\theta^2+87\\theta+12\\right)-x^{2}\\left(5808+25608\\theta+43193\\theta^2+31076\\theta^3+8807\\theta^4\\right)-2 x^{3}\\left(10633\\theta^4+106320\\theta^3+235087\\theta^2+185292\\theta+52896\\right)+2^{2} x^{4}\\left(65651\\theta^4+19144\\theta^3-434467\\theta^2-508704\\theta-175376\\right)+2^{3} x^{5}\\left(151497\\theta^4+645060\\theta^3+272053\\theta^2-269230\\theta-183720\\right)-2^{8} x^{6}\\left(3386\\theta^4-52470\\theta^3-83275\\theta^2-46299\\theta-7926\\right)-2^{10} x^{7}\\left(11425\\theta^4+14072\\theta^3-3794\\theta^2-13632\\theta-5575\\right)-2^{15} x^{8}(590\\theta^2+1126\\theta+597)(\\theta+1)^2-2^{20} 3^{2} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "17/3 4127/9", "discriminant": "9 9 -456 -8807 -21266 262604 1211976 -866816 -11699200 -19333120 -9437184", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "98a7e046a956f1c9ec13973072ab8283", "dim_h": null, "inst": " 17/3 257/6 4127/9 23827/3 496999/3 71729629/18 104658718 2945771458 785847748280/9 16183383951883/6", "cleanlist": "True", "n_sing_real": "8", "sol_explicit": "", "n_sing_rational": "4", "n_sing": "8", "laurent": null, "discriminant_tex": "-(9z+1)(2z+1)(z+1)(128z^2+64z-1)(-3-2z+64z^2)^2", "discr_factors": "-9437184, z^2+1/2*z-1/128, (-3/64-1/32*z+z^2)^2, z+1/2, z+1, z+1/9", "dm_basis": null, "q": "0 1 -13 -54 173 -11862 -345054 -9839047 -305425645 -10024615764", "yuk": "1 17/3 1045/3 37160/3 1525973/3 62124892/3 2582304832/3 107693820839/3 4524706485461/3 190961002869200/3", "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":"-1/4-3/16*2^(1/2)","im":"0","approx_re":"-0.515165","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/2","im":"0","approx_re":"-0.5","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64-1/64*193^(1/2)","im":"0","approx_re":"-0.201444","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/9","im":"0","approx_re":"-0.111111111111","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":"-1/4+3/16*2^(1/2)","im":"0","approx_re":"0.015165","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"1/64+1/64*193^(1/2)","im":"0","approx_re":"0.232694","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","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"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]", "text": "This is operator \"9.8\" from ...", "degz": 9, "h3": null, "sol": "1 -2 18 -20 1330 8748 237924 3308184 66542130 1151969020", "n_discr_factors": "4", "c3": null, "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", "new_number": "9.8", "id": 547, "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", "superseek": "6/17 688/17", "discriminant": "9 289 -5576 -141200 1711936 33416192 -88311808 -3388903424 -11753717760 43042406400 216760320000", "aesz": null, "n_sing_complex": "2", "inst_int": "", "c2h": null, "hash": "0574d9effd306eb6c9288752b7670904", "dim_h": null, "inst": " 6/17 83/17 688/17 7350/17 5150 1143830/17 15887970/17 233522114/17 3587858746/17 57218160425/17", "cleanlist": "True", "n_sing_real": "6", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "8", "laurent": null, "discriminant_tex": "(4z-1)(12z+1)(1600z^3+272z^2+8z-1)(-17+164z+1680z^2)^2", "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", "dm_basis": null, "q": "0 1 2 -23 -304 -3100 -36830 -522684 -8002248 -129042146", "yuk": "1 6/17 670/17 18582/17 27710 10943756/17 247086526/17 5449573716/17 119563793438/17 2615549044416/17", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-41/840-1/840*8821^(1/2)","im":"0","approx_re":"-0.160619","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1200*(58796+6900*69^(1/2))^(1/3)-139/300/(58796+6900*69^(1/2))^(1/3)-17/300","im":"-1/8*3^(1/2)*(1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"-0.106819","approx_im":"-0.053966","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-1/1200*(58796+6900*69^(1/2))^(1/3)-139/300/(58796+6900*69^(1/2))^(1/3)-17/300","im":"1/8*3^(1/2)*(1/150*(58796+6900*69^(1/2))^(1/3)-278/75/(58796+6900*69^(1/2))^(1/3))","approx_re":"-0.106819","approx_im":"0.053966","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":"0","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["0","0","0","0"],"monodromy":[],"monodromy_dm":[]},{"re":"1/600*(58796+6900*69^(1/2))^(1/3)+139/150/(58796+6900*69^(1/2))^(1/3)-17/300","im":"0","approx_re":"0.043637","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-41/840+1/840*8821^(1/2)","im":"0","approx_re":"0.063","approx_im":"0.0","exponents":["0","1","3","4"],"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":"infinity","im":"0","approx_re":"0.0","approx_im":"0.0","exponents":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}, {"pols": "[961*X^4, -115568*X^2-5766-41323*X-87916*X^4-148490*X^3, -1539241*X^2-1291677*X-342550+558095*X^4-131134*X^3, 6495560*X^2+387046*X^4+6264048*X^3+558+2100591*X, 3388169*X-7521396*X^3-5037573*X^4+2030450-2351908*X^2, -15364512-4029792*X^4-46016116*X-49387934*X^2-22094682*X^3, 37321692*X+8697364+6817193*X^4+33832842*X^3+56561513*X^2, 137367032*X+53251748*X^3+132675510*X^2+7727038*X^4+50067160, 484*(3667*X^2+17036*X+18316)*(X+1)^2, 117128*(X+1)^2*(X+2)^2]", "text": "This is operator \"9.9\" from ...", "degz": 9, "h3": null, "sol": "1 6 178 7404 370674 20685156 1239772156 78155796648 5115756781234 344734928494044", "n_discr_factors": "4", "c3": null, "operator": "4 9 0 0 0 0 961 -5766 -41323 -115568 -148490 -87916 -342550 -1291677 -1539241 -131134 558095 558 2100591 6495560 6264048 387046 2030450 3388169 -2351908 -7521396 -5037573 -15364512 -46016116 -49387934 -22094682 -4029792 8697364 37321692 56561513 33832842 6817193 50067160 137367032 132675510 53251748 7727038 8864944 25975312 27130620 11795080 1774828 468512 1405536 1522664 702768 117128", "new_number": "9.9", "id": 548, "operator_tex": "31^{2} \\theta^4-31 x\\left(2836\\theta^4+4790\\theta^3+3728\\theta^2+1333\\theta+186\\right)-x^{2}\\left(1539241\\theta^2+1291677\\theta+342550-558095\\theta^4+131134\\theta^3\\right)+x^{3}\\left(6495560\\theta^2+387046\\theta^4+6264048\\theta^3+558+2100591\\theta\\right)+x^{4}\\left(3388169\\theta-7521396\\theta^3-5037573\\theta^4+2030450-2351908\\theta^2\\right)-2 x^{5}\\left(2014896\\theta^4+11047341\\theta^3+24693967\\theta^2+23008058\\theta+7682256\\right)+x^{6}\\left(37321692\\theta+8697364+6817193\\theta^4+33832842\\theta^3+56561513\\theta^2\\right)+2 11 x^{7}\\left(351229\\theta^4+2420534\\theta^3+6030705\\theta^2+6243956\\theta+2275780\\right)+2^{2} 11^{2} x^{8}(3667\\theta^2+17036\\theta+18316)(\\theta+1)^2+2^{3} 11^{4} x^{9}(\\theta+1)^2(\\theta+2)^2", "superseek": "256/31 28062/31", "discriminant": "9 961 -87916 558095 387046 -5037573 -4029792 6817193 7727038 1774828 117128", "aesz": null, "n_sing_complex": "0", "inst_int": "", "c2h": null, "hash": "924a831431fc249044fe63cfea0eb535", "dim_h": null, "inst": " 256/31 1982/31 28062/31 591475/31 15400630/31 457045532/31 14876658050/31 518347106445/31 19026808879462/31 727762687352558/31", "cleanlist": "True", "n_sing_real": "7", "sol_explicit": "", "n_sing_rational": "3", "n_sing": "7", "laurent": null, "discriminant_tex": "(2z+1)(121z^2-86z+1)(z+1)^2(22z^2+147z-31)^2", "discr_factors": "117128, (z^2+147/22*z-31/22)^2, z^2-86/121*z+1/121, (z+1)^2, z+1/2", "dm_basis": null, "q": "0 1 -19 17 -325 -28465 -890463 -32285022 -1259241307 -51044658671", "yuk": "1 256/31 16112/31 757930/31 37870512/31 1925079006/31 98722608698/31 5102693711406/31 265393756370352/31 13870543673885728/31", "gv2": null, "gv0": null, "gv1": null, "spectrum":[{"re":"-147/44-1/44*24337^(1/2)","im":"0","approx_re":"-6.886436","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":"-1/2","im":"0","approx_re":"-0.5","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":"43/121-24/121*3^(1/2)","im":"0","approx_re":"0.011825","approx_im":"0.0","exponents":["0","1","1","2"],"monodromy":[],"monodromy_dm":[]},{"re":"-147/44+1/44*24337^(1/2)","im":"0","approx_re":"0.204618","approx_im":"0.0","exponents":["0","1","3","4"],"monodromy":[],"monodromy_dm":[]},{"re":"43/121+24/121*3^(1/2)","im":"0","approx_re":"0.698919","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":["1","1","2","2"],"monodromy":[],"monodromy_dm":[]}]}]}