Magma V2.19-8 Tue Aug 20 2013 23:55:22 on localhost [Seed = 711737971] Type ? for help. Type -D to quit. Loading file "L14a11740__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a11740 geometric_solution 9.83132829 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 1 0 1 2031 0132 1302 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469103393377 0.289555588532 2 0 3 0 0132 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.612312609171 1.035898340587 1 4 5 6 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.144109222212 0.721834771934 6 7 4 1 0132 0132 3201 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678620821788 0.288774279596 3 2 9 8 2310 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203435151421 0.977111092598 10 6 10 2 0132 0132 3012 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -4 1 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297370215071 0.736127761242 3 5 2 7 0132 0132 0132 3120 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813119349615 0.875003081361 6 3 10 9 3120 0132 1023 2310 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862218197769 0.536793094270 9 11 4 10 2103 0132 0132 0213 1 0 1 1 0 1 0 -1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 -1 4 0 0 -1 1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.706573420003 1.754326998484 7 11 8 4 3201 0321 2103 0132 1 0 1 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440751637521 0.293929522297 5 5 7 8 0132 1230 1023 0213 1 1 0 1 0 -1 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 -3 0 0 3 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678493927036 0.710841222844 11 8 11 9 2310 0132 3201 0321 1 1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.079608530575 0.579891603633 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_2'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_9']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_1001_2'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : d['c_0101_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : d['c_0011_0'], 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_10'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_4, c_0101_5, c_0101_7, c_0110_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 1423330662648684071/1188290387515*c_1001_2^18 - 575331387437484330/237658077503*c_1001_2^17 + 1129677907084022238/108026398865*c_1001_2^16 - 875113622605395663/48501648470*c_1001_2^15 + 60652846137684983524/1188290387515*c_1001_2^14 - 276939100047289141531/2376580775030*c_1001_2^13 + 71940525431434006313/339511539290*c_1001_2^12 - 396823175119654270667/1188290387515*c_1001_2^11 + 949784402634135862571/2376580775030*c_1001_2^10 - 1086860698932256916089/2376580775030*c_1001_2^9 + 443674401123210048016/1188290387515*c_1001_2^8 - 393186945822180504859/1188290387515*c_1001_2^7 + 433673946839158053683/2376580775030*c_1001_2^6 - 307659821850374682991/2376580775030*c_1001_2^5 + 53330220620709773563/1188290387515*c_1001_2^4 - 506741112732698521/19641163430*c_1001_2^3 + 10883810079907236767/2376580775030*c_1001_2^2 - 347717764324458053/169755769645*c_1001_2 + 150983329286061801/2376580775030, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 728*c_1001_2^17 - 1456*c_1001_2^16 + 6310*c_1001_2^15 - 10800*c_1001_2^14 + 30662*c_1001_2^13 - 69937*c_1001_2^12 + 126668*c_1001_2^11 - 198786*c_1001_2^10 + 235974*c_1001_2^9 - 268763*c_1001_2^8 + 216336*c_1001_2^7 - 191218*c_1001_2^6 + 102724*c_1001_2^5 - 73220*c_1001_2^4 + 24042*c_1001_2^3 - 14206*c_1001_2^2 + 2184*c_1001_2 - 1092, c_0011_9 + 1456*c_1001_2^18 - 2912*c_1001_2^17 + 12662*c_1001_2^16 - 21684*c_1001_2^15 + 61674*c_1001_2^14 - 140469*c_1001_2^13 + 254988*c_1001_2^12 - 401408*c_1001_2^11 + 478704*c_1001_2^10 - 547713*c_1001_2^9 + 444030*c_1001_2^8 - 394541*c_1001_2^7 + 214142*c_1001_2^6 - 153446*c_1001_2^5 + 51134*c_1001_2^4 - 30326*c_1001_2^3 + 4758*c_1001_2^2 - 2380*c_1001_2, c_0101_1 + 168*c_1001_2^18 - 288*c_1001_2^17 + 1384*c_1001_2^16 - 2120*c_1001_2^15 + 6556*c_1001_2^14 - 14426*c_1001_2^13 + 25514*c_1001_2^12 - 39568*c_1001_2^11 + 44881*c_1001_2^10 - 51754*c_1001_2^9 + 37946*c_1001_2^8 - 36032*c_1001_2^7 + 15294*c_1001_2^6 - 13664*c_1001_2^5 + 2062*c_1001_2^4 - 2660*c_1001_2^3 - 307*c_1001_2^2 - 208*c_1001_2 - 80, c_0101_10 - 40*c_1001_2^18 + 64*c_1001_2^17 - 324*c_1001_2^16 + 470*c_1001_2^15 - 1520*c_1001_2^14 + 3276*c_1001_2^13 - 5755*c_1001_2^12 + 8878*c_1001_2^11 - 9850*c_1001_2^10 + 11444*c_1001_2^9 - 7922*c_1001_2^8 + 7864*c_1001_2^7 - 2732*c_1001_2^6 + 2948*c_1001_2^5 - 3*c_1001_2^4 + 568*c_1001_2^3 + 232*c_1001_2^2 + 44*c_1001_2 + 41, c_0101_3 - 368*c_1001_2^18 + 840*c_1001_2^17 - 3436*c_1001_2^16 + 6454*c_1001_2^15 - 17396*c_1001_2^14 + 40418*c_1001_2^13 - 75775*c_1001_2^12 + 122760*c_1001_2^11 - 155419*c_1001_2^10 + 181679*c_1001_2^9 - 162422*c_1001_2^8 + 143522*c_1001_2^7 - 92458*c_1001_2^6 + 61986*c_1001_2^5 - 28529*c_1001_2^4 + 13770*c_1001_2^3 - 4361*c_1001_2^2 + 1225*c_1001_2 - 247, c_0101_4 - 126*c_1001_2^18 + 274*c_1001_2^17 - 1158*c_1001_2^16 + 2109*c_1001_2^15 - 5829*c_1001_2^14 + 13392*c_1001_2^13 - 24997*c_1001_2^12 + 40487*c_1001_2^11 - 50970*c_1001_2^10 + 60090*c_1001_2^9 - 53276*c_1001_2^8 + 48129*c_1001_2^7 - 30465*c_1001_2^6 + 21368*c_1001_2^5 - 9455*c_1001_2^4 + 4969*c_1001_2^3 - 1434*c_1001_2^2 + 472*c_1001_2 - 75, c_0101_5 - 126*c_1001_2^18 + 148*c_1001_2^17 - 906*c_1001_2^16 + 995*c_1001_2^15 - 3916*c_1001_2^14 + 7900*c_1001_2^13 - 12577*c_1001_2^12 + 17681*c_1001_2^11 - 14529*c_1001_2^10 + 15628*c_1001_2^9 - 1214*c_1001_2^8 + 4363*c_1001_2^7 + 9518*c_1001_2^6 - 1536*c_1001_2^5 + 7443*c_1001_2^4 - 1121*c_1001_2^3 + 2255*c_1001_2^2 - 172*c_1001_2 + 247, c_0101_7 + 64*c_1001_2^18 - 164*c_1001_2^17 + 634*c_1001_2^16 - 1284*c_1001_2^15 + 3306*c_1001_2^14 - 7835*c_1001_2^13 + 14994*c_1001_2^12 - 24725*c_1001_2^11 + 32482*c_1001_2^10 - 38372*c_1001_2^9 + 36288*c_1001_2^8 - 31894*c_1001_2^7 + 22492*c_1001_2^6 - 14575*c_1001_2^5 + 7796*c_1001_2^4 - 3451*c_1001_2^3 + 1412*c_1001_2^2 - 329*c_1001_2 + 104, c_0110_0 + 4*c_1001_2^18 - 6*c_1001_2^17 + 32*c_1001_2^16 - 44*c_1001_2^15 + 149*c_1001_2^14 - 314*c_1001_2^13 + 550*c_1001_2^12 - 844*c_1001_2^11 + 918*c_1001_2^10 - 1076*c_1001_2^9 + 700*c_1001_2^8 - 732*c_1001_2^7 + 189*c_1001_2^6 - 272*c_1001_2^5 - 56*c_1001_2^4 - 52*c_1001_2^3 - 50*c_1001_2^2 - 4*c_1001_2 - 10, c_1001_2^19 - 2*c_1001_2^18 + 9*c_1001_2^17 - 31/2*c_1001_2^16 + 45*c_1001_2^15 - 101*c_1001_2^14 + 188*c_1001_2^13 - 305*c_1001_2^12 + 382*c_1001_2^11 - 460*c_1001_2^10 + 405*c_1001_2^9 - 771/2*c_1001_2^8 + 240*c_1001_2^7 - 188*c_1001_2^6 + 80*c_1001_2^5 - 53*c_1001_2^4 + 14*c_1001_2^3 - 8*c_1001_2^2 + c_1001_2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB