Magma V2.19-8 Wed Aug 21 2013 00:51:19 on localhost [Seed = 2681834213] Type ? for help. Type -D to quit. Loading file "L11a301__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a301 geometric_solution 11.40427273 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1230 0132 0 0 1 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 1 0 -1 0 0 -1 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435628666547 0.542955877460 0 4 6 5 0132 0132 0132 0132 0 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 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 1.272275629961 0.730171317095 7 0 8 0 0132 0132 0132 3012 0 0 0 1 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 -1 0 1 0 0 0 0 0 -1 0 1 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920196527557 0.885279041369 6 4 0 9 0132 3012 0132 0132 0 0 1 1 0 0 0 0 0 0 -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 1 -1 0 0 -1 1 7 -7 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.378360155582 1.526903038914 3 1 10 8 1230 0132 0132 1230 0 1 1 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 0 0 0 7 0 0 -7 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894819397525 0.452815746630 8 10 1 11 2031 0132 0132 0132 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 0 0 0 0 0 0 0 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 0.132107927974 0.326726586703 3 10 9 1 0132 2031 0213 0132 0 0 1 1 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 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416639339936 0.846412115427 2 8 11 10 0132 3120 3201 3012 1 0 1 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674247388389 0.360858263777 4 7 5 2 3012 3120 1302 0132 0 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 0 0 0 0 0 0 0 7 0 0 -7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626732459294 0.568099339130 11 6 3 12 1023 0213 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.660972534477 0.532966187458 6 5 7 4 1302 0132 1230 0132 0 1 0 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 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.780226134815 1.549705464823 7 9 5 12 2310 1023 0132 0321 0 0 0 1 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 -1 0 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 0.849708699027 1.335779698767 12 11 9 12 3201 0321 0132 2310 0 0 0 0 0 -1 0 1 -1 0 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 -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 0.611870978895 0.549649035692 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_3'], '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_12' : 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_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1001_12'], 'c_1100_1' : d['c_1001_12'], 'c_1100_0' : d['c_0011_12'], 'c_1100_3' : d['c_0011_12'], 'c_1100_2' : d['c_0101_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_0'], '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'], 'c_1100_12' : d['c_0011_12'], '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_11'], 'c_0011_8' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 141/28*c_1001_4^3 - 1913/56*c_1001_4^2 - 1091/28*c_1001_4 - 459/14, c_0011_0 - 1, c_0011_10 + 1/2*c_1001_4^3 + 7/2*c_1001_4^2 + 5*c_1001_4 + 3, c_0011_11 - 1, c_0011_12 - 1/4*c_1001_4^3 - 3/2*c_1001_4^2 - c_1001_4, c_0011_3 - 1/2*c_1001_4^3 - 7/2*c_1001_4^2 - 4*c_1001_4 - 2, c_0101_0 - 1, c_0101_1 - 1/4*c_1001_4^3 - 3/2*c_1001_4^2 - c_1001_4 - 1, c_0101_11 - 1/4*c_1001_4^3 - 2*c_1001_4^2 - 3*c_1001_4 - 1, c_0101_12 + 1, c_0101_2 - 1/4*c_1001_4^3 - 3/2*c_1001_4^2 - c_1001_4 - 1, c_0101_4 + 1/4*c_1001_4^3 + 2*c_1001_4^2 + 3*c_1001_4 + 1, c_1001_12 + 1/2*c_1001_4^2 + 2*c_1001_4 + 1, c_1001_4^4 + 8*c_1001_4^3 + 16*c_1001_4^2 + 16*c_1001_4 + 8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_4, c_1001_12, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 367748125/5806336*c_1001_4^10 + 440281529/2903168*c_1001_4^9 + 310863045/1451584*c_1001_4^8 - 982618903/2903168*c_1001_4^7 - 201843671/1451584*c_1001_4^6 + 544978549/181448*c_1001_4^5 + 8259263685/1451584*c_1001_4^4 + 956398097/181448*c_1001_4^3 + 3402531871/725792*c_1001_4^2 + 1964190019/725792*c_1001_4 - 102134727/362896, c_0011_0 - 1, c_0011_10 - 7925/39232*c_1001_4^10 - 11121/19616*c_1001_4^9 - 9165/9808*c_1001_4^8 + 14223/19616*c_1001_4^7 + 7555/9808*c_1001_4^6 - 5524/613*c_1001_4^5 - 218821/9808*c_1001_4^4 - 32327/1226*c_1001_4^3 - 119583/4904*c_1001_4^2 - 83995/4904*c_1001_4 - 11713/2452, c_0011_11 - 5649/39232*c_1001_4^10 - 5869/19616*c_1001_4^9 - 4381/9808*c_1001_4^8 + 16179/19616*c_1001_4^7 - 597/9808*c_1001_4^6 - 7927/1226*c_1001_4^5 - 108561/9808*c_1001_4^4 - 13359/1226*c_1001_4^3 - 48283/4904*c_1001_4^2 - 27543/4904*c_1001_4 - 1641/2452, c_0011_12 + 4677/19616*c_1001_4^10 + 6955/9808*c_1001_4^9 + 5613/4904*c_1001_4^8 - 7327/9808*c_1001_4^7 - 5861/4904*c_1001_4^6 + 13519/1226*c_1001_4^5 + 135537/4904*c_1001_4^4 + 20257/613*c_1001_4^3 + 77207/2452*c_1001_4^2 + 54267/2452*c_1001_4 + 9229/1226, c_0011_3 + 6567/19616*c_1001_4^10 + 9543/9808*c_1001_4^9 + 7849/4904*c_1001_4^8 - 10917/9808*c_1001_4^7 - 7539/4904*c_1001_4^6 + 9251/613*c_1001_4^5 + 188111/4904*c_1001_4^4 + 28163/613*c_1001_4^3 + 103789/2452*c_1001_4^2 + 71777/2452*c_1001_4 + 10685/1226, c_0101_0 - 1, c_0101_1 + 4677/19616*c_1001_4^10 + 6955/9808*c_1001_4^9 + 5613/4904*c_1001_4^8 - 7327/9808*c_1001_4^7 - 5861/4904*c_1001_4^6 + 13519/1226*c_1001_4^5 + 135537/4904*c_1001_4^4 + 20257/613*c_1001_4^3 + 77207/2452*c_1001_4^2 + 54267/2452*c_1001_4 + 8003/1226, c_0101_11 + 2673/39232*c_1001_4^10 + 2837/19616*c_1001_4^9 + 2129/9808*c_1001_4^8 - 7179/19616*c_1001_4^7 + 289/9808*c_1001_4^6 + 3747/1226*c_1001_4^5 + 51481/9808*c_1001_4^4 + 3235/613*c_1001_4^3 + 28347/4904*c_1001_4^2 + 16007/4904*c_1001_4 + 1201/2452, c_0101_12 - 4543/39232*c_1001_4^10 - 7415/19616*c_1001_4^9 - 5243/9808*c_1001_4^8 + 6813/19616*c_1001_4^7 + 9337/9808*c_1001_4^6 - 7443/1226*c_1001_4^5 - 138151/9808*c_1001_4^4 - 9436/613*c_1001_4^3 - 71669/4904*c_1001_4^2 - 45449/4904*c_1001_4 - 5139/2452, c_0101_2 + 4677/19616*c_1001_4^10 + 6955/9808*c_1001_4^9 + 5613/4904*c_1001_4^8 - 7327/9808*c_1001_4^7 - 5861/4904*c_1001_4^6 + 13519/1226*c_1001_4^5 + 135537/4904*c_1001_4^4 + 20257/613*c_1001_4^3 + 77207/2452*c_1001_4^2 + 54267/2452*c_1001_4 + 8003/1226, c_0101_4 - 2673/39232*c_1001_4^10 - 2837/19616*c_1001_4^9 - 2129/9808*c_1001_4^8 + 7179/19616*c_1001_4^7 - 289/9808*c_1001_4^6 - 3747/1226*c_1001_4^5 - 51481/9808*c_1001_4^4 - 3235/613*c_1001_4^3 - 28347/4904*c_1001_4^2 - 16007/4904*c_1001_4 - 1201/2452, c_1001_12 + 1671/39232*c_1001_4^10 + 3843/19616*c_1001_4^9 + 2839/9808*c_1001_4^8 + 251/19616*c_1001_4^7 - 7057/9808*c_1001_4^6 + 3007/1226*c_1001_4^5 + 74431/9808*c_1001_4^4 + 10917/1226*c_1001_4^3 + 43149/4904*c_1001_4^2 + 33657/4904*c_1001_4 + 6995/2452, c_1001_4^11 + 4*c_1001_4^10 + 8*c_1001_4^9 + 2*c_1001_4^8 - 8*c_1001_4^7 + 40*c_1001_4^6 + 164*c_1001_4^5 + 264*c_1001_4^4 + 280*c_1001_4^3 + 232*c_1001_4^2 + 128*c_1001_4 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB