Magma V2.19-8 Tue Aug 20 2013 23:55:24 on localhost [Seed = 3667702405] Type ? for help. Type -D to quit. Loading file "L14a20470__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20470 geometric_solution 9.09058616 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 0321 1 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 -5 6 -6 0 0 6 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.488382875212 0.529367146138 0 0 2 4 0132 0321 1302 0132 1 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 7 -6 1 0 0 -1 0 -6 0 6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345042094765 0.808344314678 1 0 5 3 2031 0132 0132 3012 1 1 0 0 0 0 0 0 1 0 -1 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 1 -1 0 -7 0 7 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108040698057 0.741494717699 5 4 2 0 1230 0132 1230 0132 1 0 0 1 0 0 0 0 0 0 1 -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 0 -5 5 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.216752098643 0.726068753444 6 3 1 7 0132 0132 0132 0132 1 0 1 0 0 0 -1 1 0 0 0 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 6 -6 -1 0 1 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419200604040 1.045916087413 8 3 6 2 0132 3012 3012 0132 1 1 0 0 0 0 0 0 0 0 -1 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 0 0 -1 1 0 0 7 -7 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405793487690 0.730761670715 4 5 9 8 0132 1230 0132 0321 1 0 0 1 0 1 -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 0 0 0 0 0 0 -7 6 1 1 0 -1 0 -6 6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.472855007496 0.925643454013 9 10 4 8 2103 0132 0132 1302 1 0 1 1 0 1 -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 0 0 0 0 0 0 -6 6 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.122940427579 1.143580563667 5 6 7 9 0132 0321 2031 2310 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 -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 0.074039456391 0.605833169280 8 10 7 6 3201 0321 2103 0132 1 0 1 1 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 0 0 0 0 0 0 0 6 -6 -1 0 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 -0.302300915017 0.296590706797 11 7 11 9 0132 0132 2310 0321 1 1 1 1 0 -1 1 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 6 -6 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.374612227615 0.687765068090 10 10 11 11 0132 3201 2031 1302 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445753206947 0.057574162089 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_5'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0110_2'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(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' : negation(d['c_0011_10']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_3'], 'c_1010_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_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0011_5'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0011_5'], 'c_1100_9' : negation(d['c_0110_7']), 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_5, c_0011_9, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0110_2, c_0110_7, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 5777924030263/19878920653527*c_1001_3^17 - 8412601203440/19878920653527*c_1001_3^16 - 30996256262557/19878920653527*c_1001_3^15 + 21377607206978/6626306884509*c_1001_3^14 - 125645705336735/13252613769018*c_1001_3^13 + 29910133489465/3058295485158*c_1001_3^12 - 1229425793116319/39757841307054*c_1001_3^11 + 722444675007590/19878920653527*c_1001_3^10 - 638989615032968/19878920653527*c_1001_3^9 + 1421041658708915/39757841307054*c_1001_3^8 + 199174541830531/39757841307054*c_1001_3^7 + 821384443468367/19878920653527*c_1001_3^6 + 1893714091962538/19878920653527*c_1001_3^5 + 222230703803749/19878920653527*c_1001_3^4 + 3928045436866751/39757841307054*c_1001_3^3 + 958938946055941/39757841307054*c_1001_3^2 + 1928208390068383/39757841307054*c_1001_3 + 221641591353131/13252613769018, c_0011_0 - 1, c_0011_10 - 6137851/21558851*c_1001_3^17 + 35477317/43117702*c_1001_3^16 - 39475578/21558851*c_1001_3^15 + 121203351/43117702*c_1001_3^14 - 99937734/21558851*c_1001_3^13 + 315386173/43117702*c_1001_3^12 - 143127427/21558851*c_1001_3^11 + 208681741/43117702*c_1001_3^10 - 351555/43117702*c_1001_3^9 - 63069927/43117702*c_1001_3^8 + 344113263/43117702*c_1001_3^7 - 520884125/43117702*c_1001_3^6 + 407087167/43117702*c_1001_3^5 - 73781305/21558851*c_1001_3^4 - 13106217/21558851*c_1001_3^3 + 157119361/43117702*c_1001_3^2 - 77018826/21558851*c_1001_3 + 94096185/43117702, c_0011_3 - 787063/21558851*c_1001_3^17 - 2452176/21558851*c_1001_3^16 + 5377191/43117702*c_1001_3^15 - 24748133/43117702*c_1001_3^14 + 18332083/43117702*c_1001_3^13 - 28056675/21558851*c_1001_3^12 + 43651319/21558851*c_1001_3^11 - 31107107/43117702*c_1001_3^10 + 89841761/43117702*c_1001_3^9 + 48252265/21558851*c_1001_3^8 + 47171714/21558851*c_1001_3^7 + 121787468/21558851*c_1001_3^6 - 14359927/43117702*c_1001_3^5 + 173911095/43117702*c_1001_3^4 + 35339561/43117702*c_1001_3^3 - 10131955/43117702*c_1001_3^2 + 50794278/21558851*c_1001_3 - 8158018/21558851, c_0011_5 + 787063/21558851*c_1001_3^17 + 2452176/21558851*c_1001_3^16 - 5377191/43117702*c_1001_3^15 + 24748133/43117702*c_1001_3^14 - 18332083/43117702*c_1001_3^13 + 28056675/21558851*c_1001_3^12 - 43651319/21558851*c_1001_3^11 + 31107107/43117702*c_1001_3^10 - 89841761/43117702*c_1001_3^9 - 48252265/21558851*c_1001_3^8 - 47171714/21558851*c_1001_3^7 - 121787468/21558851*c_1001_3^6 + 14359927/43117702*c_1001_3^5 - 173911095/43117702*c_1001_3^4 - 35339561/43117702*c_1001_3^3 + 10131955/43117702*c_1001_3^2 - 29235427/21558851*c_1001_3 - 13400833/21558851, c_0011_9 - 4753592/21558851*c_1001_3^17 + 9985866/21558851*c_1001_3^16 - 27245234/21558851*c_1001_3^15 + 35756440/21558851*c_1001_3^14 - 70682557/21558851*c_1001_3^13 + 95647661/21558851*c_1001_3^12 - 86457242/21558851*c_1001_3^11 + 184530751/43117702*c_1001_3^10 + 55843807/43117702*c_1001_3^9 + 29096369/21558851*c_1001_3^8 + 365147563/43117702*c_1001_3^7 - 144698187/43117702*c_1001_3^6 + 424774493/43117702*c_1001_3^5 - 18043173/21558851*c_1001_3^4 + 20128363/21558851*c_1001_3^3 + 146753793/43117702*c_1001_3^2 - 71975951/43117702*c_1001_3 + 56412093/21558851, c_0101_10 + 9428874/21558851*c_1001_3^17 - 20491164/21558851*c_1001_3^16 + 53007464/21558851*c_1001_3^15 - 71738623/21558851*c_1001_3^14 + 139598678/21558851*c_1001_3^13 - 195647686/21558851*c_1001_3^12 + 173282196/21558851*c_1001_3^11 - 177939652/21558851*c_1001_3^10 - 24878576/21558851*c_1001_3^9 - 58903474/21558851*c_1001_3^8 - 332783368/21558851*c_1001_3^7 + 176883241/21558851*c_1001_3^6 - 384005761/21558851*c_1001_3^5 + 39410768/21558851*c_1001_3^4 - 78285867/21558851*c_1001_3^3 - 122836000/21558851*c_1001_3^2 + 67914289/21558851*c_1001_3 - 76224708/21558851, c_0101_2 + 787063/21558851*c_1001_3^17 + 2452176/21558851*c_1001_3^16 - 5377191/43117702*c_1001_3^15 + 24748133/43117702*c_1001_3^14 - 18332083/43117702*c_1001_3^13 + 28056675/21558851*c_1001_3^12 - 43651319/21558851*c_1001_3^11 + 31107107/43117702*c_1001_3^10 - 89841761/43117702*c_1001_3^9 - 48252265/21558851*c_1001_3^8 - 47171714/21558851*c_1001_3^7 - 121787468/21558851*c_1001_3^6 + 14359927/43117702*c_1001_3^5 - 173911095/43117702*c_1001_3^4 - 35339561/43117702*c_1001_3^3 + 10131955/43117702*c_1001_3^2 - 50794278/21558851*c_1001_3 + 8158018/21558851, c_0101_3 + 1, c_0101_5 + 4026302/21558851*c_1001_3^17 - 13247821/43117702*c_1001_3^16 + 34192889/43117702*c_1001_3^15 - 37221595/43117702*c_1001_3^14 + 40649683/21558851*c_1001_3^13 - 52309012/21558851*c_1001_3^12 + 46848367/43117702*c_1001_3^11 - 72526375/43117702*c_1001_3^10 - 46678139/21558851*c_1001_3^9 - 18050383/21558851*c_1001_3^8 - 132806350/21558851*c_1001_3^7 + 64731959/43117702*c_1001_3^6 - 161318087/43117702*c_1001_3^5 - 32191309/43117702*c_1001_3^4 + 35317971/43117702*c_1001_3^3 - 54729593/21558851*c_1001_3^2 + 12880396/21558851*c_1001_3 - 19197662/21558851, c_0110_2 + 787063/21558851*c_1001_3^17 + 2452176/21558851*c_1001_3^16 - 5377191/43117702*c_1001_3^15 + 24748133/43117702*c_1001_3^14 - 18332083/43117702*c_1001_3^13 + 28056675/21558851*c_1001_3^12 - 43651319/21558851*c_1001_3^11 + 31107107/43117702*c_1001_3^10 - 89841761/43117702*c_1001_3^9 - 48252265/21558851*c_1001_3^8 - 47171714/21558851*c_1001_3^7 - 121787468/21558851*c_1001_3^6 + 14359927/43117702*c_1001_3^5 - 173911095/43117702*c_1001_3^4 - 35339561/43117702*c_1001_3^3 + 10131955/43117702*c_1001_3^2 - 29235427/21558851*c_1001_3 + 8158018/21558851, c_0110_7 - 4431513/43117702*c_1001_3^17 + 1165779/43117702*c_1001_3^16 - 2858419/21558851*c_1001_3^15 - 9416251/43117702*c_1001_3^14 - 5891557/43117702*c_1001_3^13 - 14383073/43117702*c_1001_3^12 + 79302973/43117702*c_1001_3^11 - 26329473/43117702*c_1001_3^10 + 109837319/43117702*c_1001_3^9 + 32085441/21558851*c_1001_3^8 + 142347925/43117702*c_1001_3^7 + 147209695/43117702*c_1001_3^6 - 23294725/21558851*c_1001_3^5 + 61243958/21558851*c_1001_3^4 + 15957083/43117702*c_1001_3^3 + 4370273/43117702*c_1001_3^2 + 45834128/21558851*c_1001_3 - 20236924/21558851, c_1001_3^18 - 2*c_1001_3^17 + 5*c_1001_3^16 - 6*c_1001_3^15 + 12*c_1001_3^14 - 16*c_1001_3^13 + 11*c_1001_3^12 - 10*c_1001_3^11 - 11*c_1001_3^10 - 2*c_1001_3^9 - 37*c_1001_3^8 + 14*c_1001_3^7 - 32*c_1001_3^6 - 8*c_1001_3^5 - 2*c_1001_3^4 - 16*c_1001_3^3 + 5*c_1001_3^2 - 6*c_1001_3 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.410 seconds, Total memory usage: 32.09MB