Magma V2.19-8 Wed Aug 21 2013 00:31:15 on localhost [Seed = 1259166700] Type ? for help. Type -D to quit. Loading file "K14n18080__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18080 geometric_solution 11.76575045 oriented_manifold CS_known 0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.431935059214 0.853409652725 0 5 6 3 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 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 0.962099951085 1.047557713396 7 0 8 6 0132 0132 0132 0321 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 0 0 0 0 -15 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283508694698 0.409921019018 9 10 1 0 0132 0132 0132 0132 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 1 0 -1 1 0 -1 0 1 -16 0 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137018263317 0.705707560247 5 11 0 6 2031 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 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 0.228023551828 0.877276823729 7 1 4 10 1230 0132 1302 0132 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 0 0 0 -1 0 0 1 -16 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862981736683 0.705707560247 10 2 4 1 3012 0321 0132 0132 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 -1 0 0 1 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329946713492 1.078713421468 2 5 10 11 0132 3012 3201 3120 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 1 0 -1 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.716045185788 1.656458452605 12 11 12 2 0132 0321 2031 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 1 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 0.675389477542 1.107621198984 3 11 12 12 0132 0213 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243665608540 0.831424660662 7 3 5 6 2310 0132 0132 1230 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 0 -1 0 1 16 0 -1 -15 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238845034468 0.878803107007 7 4 9 8 3120 0132 0213 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661050094937 1.772347944113 8 9 9 8 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598693260479 0.658132628312 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0101_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_12' : negation(d['c_1001_11']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0101_6'], 's_0_10' : 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_0011_10'], 'c_0101_10' : d['c_0011_0'], '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_1100_9' : d['c_0011_12'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_2'], '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_0101_8'], '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_10'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0011_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : 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_0'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0011_12'], '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_6, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_1001_0, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 884861/896*c_1100_0^5 - 1624769/896*c_1100_0^4 - 6512049/448*c_1100_0^3 - 39650725/448*c_1100_0^2 - 529297/896*c_1100_0 - 3176293/896, c_0011_0 - 1, c_0011_10 + 1/32*c_1100_0^5 + 1/32*c_1100_0^4 + 7/16*c_1100_0^3 + 39/16*c_1100_0^2 - 47/32*c_1100_0 + 17/32, c_0011_11 + 3/32*c_1100_0^5 + 5/32*c_1100_0^4 + 21/16*c_1100_0^3 + 131/16*c_1100_0^2 - 61/32*c_1100_0 + 5/32, c_0011_12 + 1/8*c_1100_0^5 + 1/4*c_1100_0^4 + 15/8*c_1100_0^3 + 93/8*c_1100_0^2 + 2*c_1100_0 + 1/8, c_0011_6 + 1/8*c_1100_0^5 + 3/16*c_1100_0^4 + 7/4*c_1100_0^3 + 85/8*c_1100_0^2 - 27/8*c_1100_0 - 5/16, c_0101_0 + 1/2*c_1100_0 - 1/2, c_0101_1 - 1/2*c_1100_0 - 1/2, c_0101_6 - 1/32*c_1100_0^5 - 1/32*c_1100_0^4 - 7/16*c_1100_0^3 - 39/16*c_1100_0^2 + 47/32*c_1100_0 + 15/32, c_0101_8 - 1/32*c_1100_0^5 - 1/32*c_1100_0^4 - 7/16*c_1100_0^3 - 39/16*c_1100_0^2 + 79/32*c_1100_0 + 15/32, c_1001_0 + 1/2*c_1100_0 + 1/2, c_1001_11 + 5/32*c_1100_0^5 + 9/32*c_1100_0^4 + 37/16*c_1100_0^3 + 221/16*c_1100_0^2 - 15/32*c_1100_0 - 3/32, c_1001_2 - 1/2*c_1100_0 + 1/2, c_1100_0^6 + 2*c_1100_0^5 + 15*c_1100_0^4 + 92*c_1100_0^3 + 15*c_1100_0^2 + 2*c_1100_0 + 1 ], 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_6, c_0101_0, c_0101_1, c_0101_6, c_0101_8, c_1001_0, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 217938/13*c_1100_0^7 - 443181655/3328*c_1100_0^6 - 2802053685/1664*c_1100_0^5 - 10584092905/3328*c_1100_0^4 + 822543053/832*c_1100_0^3 - 10107322025/3328*c_1100_0^2 - 3066605413/1664*c_1100_0 - 828836631/3328, c_0011_0 - 1, c_0011_10 - 1/128*c_1100_0^7 + 9/128*c_1100_0^6 + 91/128*c_1100_0^5 + 93/128*c_1100_0^4 - 163/128*c_1100_0^3 + 347/128*c_1100_0^2 - 183/128*c_1100_0 + 63/128, c_0011_11 - 5/128*c_1100_0^7 + 43/128*c_1100_0^6 + 475/128*c_1100_0^5 + 627/128*c_1100_0^4 - 791/128*c_1100_0^3 + 1385/128*c_1100_0^2 - 191/128*c_1100_0 - 7/128, c_0011_12 - 25/128*c_1100_0^7 + 207/128*c_1100_0^6 + 2443/128*c_1100_0^5 + 3907/128*c_1100_0^4 - 2923/128*c_1100_0^3 + 5293/128*c_1100_0^2 + 953/128*c_1100_0 - 127/128, c_0011_6 - 3/64*c_1100_0^7 + 13/32*c_1100_0^6 + 283/64*c_1100_0^5 + 45/8*c_1100_0^4 - 477/64*c_1100_0^3 + 433/32*c_1100_0^2 - 187/64*c_1100_0 - 9/16, c_0101_0 - 1/2*c_1100_0 + 1/2, c_0101_1 + 1/2*c_1100_0 + 1/2, c_0101_6 - 1/128*c_1100_0^7 + 9/128*c_1100_0^6 + 91/128*c_1100_0^5 + 93/128*c_1100_0^4 - 163/128*c_1100_0^3 + 347/128*c_1100_0^2 - 183/128*c_1100_0 - 65/128, c_0101_8 + 15/64*c_1100_0^7 - 123/64*c_1100_0^6 - 1475/64*c_1100_0^5 - 2469/64*c_1100_0^4 + 1513/64*c_1100_0^3 - 3093/64*c_1100_0^2 - 821/64*c_1100_0 + 53/64, c_1001_0 - 1/2*c_1100_0 - 1/2, c_1001_11 + 7/64*c_1100_0^7 - 59/64*c_1100_0^6 - 675/64*c_1100_0^5 - 997/64*c_1100_0^4 + 953/64*c_1100_0^3 - 1613/64*c_1100_0^2 - 93/64*c_1100_0 + 45/64, c_1001_2 + 1/2*c_1100_0 - 1/2, c_1100_0^8 - 8*c_1100_0^7 - 100*c_1100_0^6 - 184*c_1100_0^5 + 70*c_1100_0^4 - 184*c_1100_0^3 - 100*c_1100_0^2 - 8*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.830 Total time: 6.049 seconds, Total memory usage: 64.12MB