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Loading file "K12n838__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n838 geometric_solution 11.10242556 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 0 0 -1 0 1 -1 0 0 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 0.500000000000 0.866025403784 0 5 7 6 0132 0132 0132 0132 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 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 0.500000000000 0.288675134595 8 0 10 9 0132 0132 0132 0132 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 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.726280827069 0.626639449348 6 11 10 0 0132 0132 0321 0132 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 9 5 0 11 1302 1023 0132 1302 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 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.866025403784 4 1 7 10 1023 0132 1302 3120 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 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 0.905826095683 0.839042616530 3 9 1 8 0132 3012 0132 3012 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 0 0 0 0 0 0 0 0 0 0 1.500000000000 0.866025403784 5 10 11 1 2031 3120 3201 0132 0 0 0 0 0 1 -1 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 0 0 0 0 1 -1 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 0.905826095683 0.839042616530 2 9 6 11 0132 1302 1230 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905826095683 0.839042616530 6 4 2 8 1230 2031 0132 2031 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905826095683 0.839042616530 5 7 3 2 3120 3120 0321 0132 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 0 0 0 -1 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 0 0.210702307584 0.681010778356 7 3 4 8 2310 0132 2031 2103 0 0 0 0 0 0 0 0 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 0 0 0 0 0 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 0.500000000000 0.866025403784 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_10']), 'c_1001_11' : negation(d['c_0110_4']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0110_4']), 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], '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' : negation(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' : negation(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_10']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_1001_3']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0101_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_11, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/6*c_0110_4 - 1/6, c_0011_0 - 1, c_0011_10 + 2*c_0110_4 - 1, c_0011_11 + c_0110_4, c_0011_7 + 1, c_0011_9 + c_0110_4, c_0101_0 - 1, c_0101_10 - 1, c_0101_11 - c_0110_4, c_0101_2 - 2, c_0101_8 - 2*c_0110_4 + 1, c_0110_4^2 - c_0110_4 + 1, c_1001_3 - 1 ], 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/9*c_0110_4*c_1001_3 + 1/9, c_0011_0 - 1, c_0011_10 - c_0110_4*c_1001_3 + c_1001_3 + 1, c_0011_11 - c_1001_3, c_0011_7 + c_1001_3, c_0011_9 - c_1001_3, c_0101_0 + c_0110_4*c_1001_3, c_0101_10 - 1, c_0101_11 - c_0110_4, c_0101_2 - c_0110_4*c_1001_3, c_0101_8 + c_0110_4*c_1001_3 - c_1001_3 - 1, c_0110_4^2 + c_0110_4*c_1001_3 - c_1001_3 - 2, c_1001_3^2 + c_1001_3 + 1 ], 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5391570/30148157*c_1001_3^7 - 15352810/30148157*c_1001_3^6 - 94415201/602963140*c_1001_3^5 - 434183033/753703925*c_1001_3^4 - 109299388/753703925*c_1001_3^3 - 5362901677/3014815700*c_1001_3^2 - 21424112/30148157*c_1001_3 - 1819760197/1507407850, c_0011_0 - 1, c_0011_10 - 12481325/18552712*c_1001_3^7 + 14365265/18552712*c_1001_3^6 - 36868651/18552712*c_1001_3^5 + 44100053/18552712*c_1001_3^4 - 8651152/2319089*c_1001_3^3 + 33002119/9276356*c_1001_3^2 - 6761981/2319089*c_1001_3 + 5625547/4638178, c_0011_11 - 2088525/4638178*c_1001_3^7 + 11382585/9276356*c_1001_3^6 - 3824701/2319089*c_1001_3^5 + 20095861/9276356*c_1001_3^4 - 15566469/4638178*c_1001_3^3 + 15925613/4638178*c_1001_3^2 - 4352827/2319089*c_1001_3 + 1613214/2319089, c_0011_7 + 9170475/18552712*c_1001_3^7 - 12852845/18552712*c_1001_3^6 + 32493773/18552712*c_1001_3^5 - 33425249/18552712*c_1001_3^4 + 12616341/4638178*c_1001_3^3 - 23176745/9276356*c_1001_3^2 + 5413220/2319089*c_1001_3 - 3053867/4638178, c_0011_9 + 1710375/4638178*c_1001_3^7 - 4799275/4638178*c_1001_3^6 + 7221695/4638178*c_1001_3^5 - 4600488/2319089*c_1001_3^4 + 12364239/4638178*c_1001_3^3 - 9106680/2319089*c_1001_3^2 + 5194234/2319089*c_1001_3 - 3414442/2319089, c_0101_0 + 93225/2319089*c_1001_3^7 - 2167505/9276356*c_1001_3^6 + 4663241/4638178*c_1001_3^5 - 9879735/9276356*c_1001_3^4 + 2948468/2319089*c_1001_3^3 - 9496949/4638178*c_1001_3^2 + 6675791/2319089*c_1001_3 - 2500832/2319089, c_0101_10 - 141150/2319089*c_1001_3^7 + 987885/4638178*c_1001_3^6 - 1272737/2319089*c_1001_3^5 + 2893411/4638178*c_1001_3^4 - 4549583/4638178*c_1001_3^3 + 3604601/4638178*c_1001_3^2 - 2917192/2319089*c_1001_3 + 2668891/2319089, c_0101_11 - 8424675/18552712*c_1001_3^7 + 8517835/18552712*c_1001_3^6 - 13840809/18552712*c_1001_3^5 + 13665779/18552712*c_1001_3^4 - 6719405/4638178*c_1001_3^3 + 4182847/9276356*c_1001_3^2 - 1056518/2319089*c_1001_3 - 6585975/4638178, c_0101_2 + 6912075/18552712*c_1001_3^7 - 4949765/18552712*c_1001_3^6 + 12129981/18552712*c_1001_3^5 - 10277961/18552712*c_1001_3^4 + 3517175/4638178*c_1001_3^3 - 8758341/9276356*c_1001_3^2 + 1897925/2319089*c_1001_3 - 1654659/4638178, c_0101_8 + 1287025/9276356*c_1001_3^7 + 1252285/4638178*c_1001_3^6 + 1798357/9276356*c_1001_3^5 + 2242933/2319089*c_1001_3^4 + 369484/2319089*c_1001_3^3 + 3373850/2319089*c_1001_3^2 + 2173496/2319089*c_1001_3 + 2474025/2319089, c_0110_4 - 9553875/18552712*c_1001_3^7 + 12469375/18552712*c_1001_3^6 - 24022705/18552712*c_1001_3^5 + 25239423/18552712*c_1001_3^4 - 5634494/2319089*c_1001_3^3 + 11392049/9276356*c_1001_3^2 - 3973710/2319089*c_1001_3 + 3389985/4638178, c_1001_3^8 - 6/5*c_1001_3^7 + 72/25*c_1001_3^6 - 68/25*c_1001_3^5 + 149/25*c_1001_3^4 - 98/25*c_1001_3^3 + 134/25*c_1001_3^2 - 28/25*c_1001_3 + 52/25 ], 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_0110_4, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 740984/2201*c_1001_3^9 - 2999445/2201*c_1001_3^8 + 13136373/4402*c_1001_3^7 - 41168265/8804*c_1001_3^6 + 12277405/2201*c_1001_3^5 - 17413083/4402*c_1001_3^4 + 11765629/8804*c_1001_3^3 + 2400225/8804*c_1001_3^2 - 2930745/8804*c_1001_3 + 512245/4402, c_0011_0 - 1, c_0011_10 - 3130/2201*c_1001_3^9 + 11533/2201*c_1001_3^8 - 43021/4402*c_1001_3^7 + 26558/2201*c_1001_3^6 - 22297/2201*c_1001_3^5 - 2155/4402*c_1001_3^4 + 21003/2201*c_1001_3^3 - 30431/4402*c_1001_3^2 - 5981/4402*c_1001_3 + 8859/4402, c_0011_11 - c_1001_3, c_0011_7 - 4772/2201*c_1001_3^9 + 19780/2201*c_1001_3^8 - 41440/2201*c_1001_3^7 + 119655/4402*c_1001_3^6 - 129519/4402*c_1001_3^5 + 33960/2201*c_1001_3^4 + 7813/2201*c_1001_3^3 - 18496/2201*c_1001_3^2 + 7661/4402*c_1001_3 + 2039/2201, c_0011_9 + 4772/2201*c_1001_3^9 - 19780/2201*c_1001_3^8 + 41440/2201*c_1001_3^7 - 119655/4402*c_1001_3^6 + 129519/4402*c_1001_3^5 - 33960/2201*c_1001_3^4 - 7813/2201*c_1001_3^3 + 18496/2201*c_1001_3^2 - 7661/4402*c_1001_3 - 2039/2201, c_0101_0 + 2686/2201*c_1001_3^9 - 9807/2201*c_1001_3^8 + 36007/4402*c_1001_3^7 - 22996/2201*c_1001_3^6 + 20300/2201*c_1001_3^5 - 4381/4402*c_1001_3^4 - 12948/2201*c_1001_3^3 + 17735/4402*c_1001_3^2 + 3729/4402*c_1001_3 - 7487/4402, c_0101_10 - 4100/2201*c_1001_3^9 + 11338/2201*c_1001_3^8 - 16799/2201*c_1001_3^7 + 17525/2201*c_1001_3^6 - 22347/4402*c_1001_3^5 - 28609/4402*c_1001_3^4 + 16085/2201*c_1001_3^3 - 3237/2201*c_1001_3^2 - 5619/2201*c_1001_3 + 1823/4402, c_0101_11 + 6170/2201*c_1001_3^9 - 18909/2201*c_1001_3^8 + 63681/4402*c_1001_3^7 - 39069/2201*c_1001_3^6 + 68153/4402*c_1001_3^5 + 1790/2201*c_1001_3^4 - 16073/2201*c_1001_3^3 + 14209/4402*c_1001_3^2 + 11565/4402*c_1001_3 + 322/2201, c_0101_2 - 2686/2201*c_1001_3^9 + 9807/2201*c_1001_3^8 - 36007/4402*c_1001_3^7 + 22996/2201*c_1001_3^6 - 20300/2201*c_1001_3^5 + 4381/4402*c_1001_3^4 + 12948/2201*c_1001_3^3 - 17735/4402*c_1001_3^2 - 3729/4402*c_1001_3 + 7487/4402, c_0101_8 + 6332/2201*c_1001_3^9 - 18468/2201*c_1001_3^8 + 31276/2201*c_1001_3^7 - 79845/4402*c_1001_3^6 + 73001/4402*c_1001_3^5 - 1955/2201*c_1001_3^4 - 6847/2201*c_1001_3^3 + 4632/2201*c_1001_3^2 + 6557/4402*c_1001_3 + 964/2201, c_0110_4 - 916/2201*c_1001_3^9 - 48/2201*c_1001_3^8 + 3056/2201*c_1001_3^7 - 14233/4402*c_1001_3^6 + 10831/2201*c_1001_3^5 - 28217/4402*c_1001_3^4 + 1092/2201*c_1001_3^3 + 883/2201*c_1001_3^2 - 5459/4402*c_1001_3 - 4407/4402, c_1001_3^10 - 7/2*c_1001_3^9 + 27/4*c_1001_3^8 - 37/4*c_1001_3^7 + 37/4*c_1001_3^6 - 3*c_1001_3^5 - 9/4*c_1001_3^4 + 13/4*c_1001_3^3 - 1/2*c_1001_3^2 - 1/4*c_1001_3 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.460 Total time: 1.669 seconds, Total memory usage: 64.12MB