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\\frac{28848397}{280204288} a^{10} - \\frac{8449855}{4519424} a^{9} - \\frac{1402399}{564928} a^{8} + \\frac{250248639}{35025536} a^{7} + \\frac{146436973}{17512768} a^{6} - \\frac{2298369}{156364} a^{5} - \\frac{34925011}{2189096} a^{4} + \\frac{5899223}{312728} a^{3} + \\frac{5291386}{273637} a^{2} - \\frac{3481350}{273637} a - \\frac{2700378}{273637} \\)', '\\( \\frac{845017}{8966537216} a^{31} + \\frac{175319}{320233472} a^{30} - \\frac{444967}{2241634304} a^{29} - \\frac{967537}{280204288} a^{28} + \\frac{87705}{560408576} a^{27} + \\frac{3491}{312728} a^{26} + \\frac{569203}{560408576} a^{25} - \\frac{3044849}{140102144} a^{24} - \\frac{26052633}{8966537216} a^{23} + \\frac{52648095}{2241634304} a^{22} + \\frac{12328129}{2241634304} a^{21} + \\frac{1695459}{140102144} a^{20} - \\frac{1972279}{560408576} a^{19} - \\frac{4020755}{35025536} a^{18} - \\frac{6224451}{1120817152} a^{17} + \\frac{82325069}{280204288} a^{16} + \\frac{104032057}{8966537216} a^{15} - \\frac{1315830431}{2241634304} a^{14} - \\frac{155008109}{2241634304} a^{13} + \\frac{58627545}{70051072} a^{12} + \\frac{100088277}{560408576} a^{11} - \\frac{7334913}{70051072} a^{10} - \\frac{4811075}{17512768} a^{9} - \\frac{125613959}{35025536} a^{8} - \\frac{1282213}{35025536} a^{7} + \\frac{7797731}{673568} a^{6} + \\frac{8212273}{8756384} a^{5} - \\frac{95589677}{4378192} a^{4} - \\frac{5569673}{2189096} a^{3} + \\frac{6899332}{273637} a^{2} + \\frac{1339573}{547274} a - \\frac{3444029}{273637} \\)'], 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', '1/2*a^17 - 1/2*a^9 - 1/2*a', '1/4*a^18 - 1/4*a^10 + 1/4*a^2', '1/8*a^19 - 1/8*a^11 + 1/8*a^3', '1/112*a^20 - 1/14*a^18 + 2/7*a^16 + 47/112*a^12 + 1/7*a^10 + 3/7*a^8 - 1/2*a^6 - 31/112*a^4 - 2/7*a^2 + 1/7', '1/224*a^21 - 1/28*a^19 + 1/7*a^17 - 1/2*a^15 - 65/224*a^13 + 1/14*a^11 - 2/7*a^9 - 1/4*a^7 - 31/224*a^5 - 1/7*a^3 - 3/7*a', '1/448*a^22 - 1/14*a^18 - 5/28*a^16 - 65/448*a^14 + 3/8*a^12 - 5/14*a^10 + 13/56*a^8 + 193/448*a^6 + 3/8*a^4 - 2/7*a^2 + 2/7', '1/896*a^23 - 1/28*a^19 - 5/56*a^17 + 383/896*a^15 + 3/16*a^13 + 9/28*a^11 - 43/112*a^9 + 193/896*a^7 + 3/16*a^5 - 1/7*a^3 + 1/7*a', '1/23296*a^24 - 19/208*a^18 + 45/256*a^16 + 15/32*a^14 + 5/26*a^12 + 15/32*a^10 + 19/256*a^8 - 157/416*a^6 + 3/8*a^4 + 16/91', '1/46592*a^25 - 19/416*a^19 + 45/512*a^17 - 17/64*a^15 - 21/52*a^13 + 15/64*a^11 + 19/512*a^9 - 157/832*a^7 - 5/16*a^5 - 75/182*a', '1/93184*a^26 + 23/5824*a^20 + 571/7168*a^18 + 201/896*a^16 + 31/104*a^14 + 337/896*a^12 + 1413/7168*a^10 - 3595/11648*a^8 + 11/32*a^6 + 19/112*a^4 + 17/91*a^2 + 3/7', '1/186368*a^27 + 23/11648*a^21 + 571/14336*a^19 + 201/1792*a^17 - 73/208*a^15 + 337/1792*a^13 - 5755/14336*a^11 - 3595/23296*a^9 + 11/64*a^7 - 93/224*a^5 - 37/91*a^3 - 2/7*a', '1/11554816*a^28 + 1/222208*a^26 + 3/722176*a^24 + 751/722176*a^22 + 1275/888832*a^20 + 2973/2888704*a^18 - 71961/722176*a^16 + 35281/111104*a^14 + 1773025/11554816*a^12 + 1161367/2888704*a^10 + 14803/55552*a^8 + 30053/180544*a^6 + 1243/22568*a^4 - 27/217*a^2 + 1244/2821', '1/23109632*a^29 + 1/444416*a^27 + 3/1444352*a^25 + 751/1444352*a^23 + 1275/1777664*a^21 + 2973/5777408*a^19 - 71961/1444352*a^17 - 75823/222208*a^15 + 1773025/23109632*a^13 + 1161367/5777408*a^11 + 14803/111104*a^9 - 150491/361088*a^7 - 21325/45136*a^5 + 95/217*a^3 + 622/2821*a', '1/4483268608*a^30 + 23/560408576*a^28 - 3/2694272*a^26 + 45/9038848*a^24 - 3039873/4483268608*a^22 + 58955/21554176*a^20 - 990237/70051072*a^18 + 147580773/560408576*a^16 - 171259579/344866816*a^14 - 12516013/140102144*a^12 - 19337341/140102144*a^10 + 866457/2694272*a^8 + 455489/1094548*a^6 - 1392331/4378192*a^4 - 53/42098*a^2 + 100882/273637', '1/8966537216*a^31 + 23/1120817152*a^29 - 3/5388544*a^27 + 45/18077696*a^25 - 3039873/8966537216*a^23 + 58955/43108352*a^21 - 990237/140102144*a^19 + 147580773/1120817152*a^17 + 173607237/689733632*a^15 - 12516013/280204288*a^13 - 19337341/280204288*a^11 + 866457/5388544*a^9 + 455489/2189096*a^7 - 1392331/8756384*a^5 - 53/84196*a^3 + 50441/273637*a']}