Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3052677527] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s371 geometric_solution 4.59082706 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 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 -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 1.007285402500 0.398835600991 0 3 4 3 0132 0321 0132 2031 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 0 1 -1 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 0.685141538301 0.717417800314 2 0 0 2 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.174685262023 0.251830262425 4 1 0 1 1023 1302 0132 0321 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 -1 1 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 0.685141538301 0.717417800314 5 3 5 1 0132 1023 2310 0132 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 1 -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 0.563955687498 0.943971899654 4 4 5 5 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 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 0 -1 1 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 0.494702305255 0.146210739263 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_1'], '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_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 9*c_0101_4^4 - 24*c_0101_4^3 - 31*c_0101_4^2 + 14*c_0101_4 + 3, c_0011_0 - 1, c_0011_3 - c_0101_4^4 + 2*c_0101_4^3 + 6*c_0101_4^2 - c_0101_4 - 3, c_0101_0 - c_0101_4^4 + 3*c_0101_4^3 + 3*c_0101_4^2 - 3*c_0101_4 - 1, c_0101_1 - 2*c_0101_4^4 + 5*c_0101_4^3 + 8*c_0101_4^2 - 3*c_0101_4 - 3, c_0101_2 - c_0101_4, c_0101_4^5 - 3*c_0101_4^4 - 3*c_0101_4^3 + 4*c_0101_4^2 + c_0101_4 - 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 61402774/36549*c_0101_4^14 + 23628451/4061*c_0101_4^13 + 12698214/4061*c_0101_4^12 - 1842605575/36549*c_0101_4^11 + 3984217721/36549*c_0101_4^10 - 3199402576/36549*c_0101_4^9 - 1909246120/36549*c_0101_4^8 + 5181531865/36549*c_0101_4^7 - 1179068651/12183*c_0101_4^6 + 5951465723/36549*c_0101_4^5 - 7301112400/36549*c_0101_4^4 + 2515764341/36549*c_0101_4^3 + 9370933/393*c_0101_4^2 - 700196698/36549*c_0101_4 + 113459680/36549, c_0011_0 - 1, c_0011_3 + 9747463/4061*c_0101_4^14 - 34503612/4061*c_0101_4^13 - 15883889/4061*c_0101_4^12 + 294871257/4061*c_0101_4^11 - 653817143/4061*c_0101_4^10 + 547009614/4061*c_0101_4^9 + 281175054/4061*c_0101_4^8 - 855162385/4061*c_0101_4^7 + 610235920/4061*c_0101_4^6 - 966615790/4061*c_0101_4^5 + 1221856806/4061*c_0101_4^4 - 460818374/4061*c_0101_4^3 - 4333952/131*c_0101_4^2 + 123354813/4061*c_0101_4 - 21160549/4061, c_0101_0 - 1430535/4061*c_0101_4^14 + 5394364/4061*c_0101_4^13 + 1329265/4061*c_0101_4^12 - 44323801/4061*c_0101_4^11 + 105419703/4061*c_0101_4^10 - 97635598/4061*c_0101_4^9 - 31537262/4061*c_0101_4^8 + 139971553/4061*c_0101_4^7 - 111187752/4061*c_0101_4^6 + 151573090/4061*c_0101_4^5 - 207183468/4061*c_0101_4^4 + 94877603/4061*c_0101_4^3 + 578051/131*c_0101_4^2 - 23551677/4061*c_0101_4 + 4526693/4061, c_0101_1 + 8273646/4061*c_0101_4^14 - 29307178/4061*c_0101_4^13 - 13423289/4061*c_0101_4^12 + 250359833/4061*c_0101_4^11 - 555532853/4061*c_0101_4^10 + 465294016/4061*c_0101_4^9 + 238182289/4061*c_0101_4^8 - 726787335/4061*c_0101_4^7 + 519150972/4061*c_0101_4^6 - 820935190/4061*c_0101_4^5 + 1038817643/4061*c_0101_4^4 - 392580428/4061*c_0101_4^3 - 3679324/131*c_0101_4^2 + 104987214/4061*c_0101_4 - 18021109/4061, c_0101_2 - 6235996/4061*c_0101_4^14 + 21704587/4061*c_0101_4^13 + 11293302/4061*c_0101_4^12 - 187506945/4061*c_0101_4^11 + 407657264/4061*c_0101_4^10 - 330230745/4061*c_0101_4^9 - 191263680/4061*c_0101_4^8 + 531084143/4061*c_0101_4^7 - 365629894/4061*c_0101_4^6 + 606986574/4061*c_0101_4^5 - 750440055/4061*c_0101_4^4 + 263382273/4061*c_0101_4^3 + 2857414/131*c_0101_4^2 - 72630770/4061*c_0101_4 + 11822669/4061, c_0101_4^15 - 4*c_0101_4^14 + 31*c_0101_4^12 - 81*c_0101_4^11 + 87*c_0101_4^10 + 3*c_0101_4^9 - 101*c_0101_4^8 + 103*c_0101_4^7 - 128*c_0101_4^6 + 171*c_0101_4^5 - 105*c_0101_4^4 + 8*c_0101_4^3 + 19*c_0101_4^2 - 8*c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB