Magma V2.19-8 Wed Aug 21 2013 01:03:26 on localhost [Seed = 408813585] Type ? for help. Type -D to quit. Loading file "L14n20195__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20195 geometric_solution 12.28774260 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823292362335 0.683009734599 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 -13 13 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 0.414877009580 0.794191668686 8 0 7 9 0132 0132 3120 0132 1 1 0 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 -1 0 0 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355028605718 1.372255308090 5 8 7 0 0132 0132 2310 0132 1 1 0 1 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 -1 1 0 0 0 0 0 1 0 -1 1 -14 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760066611911 0.800000856472 10 5 0 11 0132 1302 0132 0132 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 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 0.931982941194 0.619812747718 3 1 6 4 0132 0132 2103 2031 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 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 0.343956296991 1.146840522589 5 9 1 10 2103 1023 0132 3012 1 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 0 0 0 -1 -13 14 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 1.156541968765 0.880130700542 12 3 2 1 0132 3201 3120 0132 1 1 1 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 0 0 0 0 0 0 0 0 -13 0 13 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 0.601292144754 0.816138178858 2 3 9 10 0132 0132 0213 2031 1 1 1 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 14 0 -14 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256056301460 0.494757755275 6 8 2 11 1023 0213 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.375819189045 0.656975553895 4 8 6 12 0132 1302 1230 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 14 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821883080735 0.803868781256 9 12 4 12 3201 0321 0132 2031 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 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 0.375819189045 0.656975553895 7 11 10 11 0132 1302 0132 0321 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 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 0.452451775534 0.416685269877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_6'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : d['c_0110_11'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0110_11'], '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_10'], '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_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_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_11'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0110_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_0011_10'], '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_0110_6'], '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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_6'], 'c_0101_8' : d['c_0011_6'], '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' : negation(d['c_0101_10']), '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_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_10, c_0101_2, c_0101_3, c_0110_11, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 710/21*c_1001_0^5 - 859/3*c_1001_0^4 + 695/42*c_1001_0^3 - 1551/7*c_1001_0^2 - 778/21*c_1001_0 - 673/14, c_0011_0 - 1, c_0011_10 - 32/63*c_1001_0^5 + 263/63*c_1001_0^4 + 25/21*c_1001_0^3 + 5/63*c_1001_0^2 + 22/9*c_1001_0 - 80/63, c_0011_11 - 22/63*c_1001_0^5 + 190/63*c_1001_0^4 - 2/7*c_1001_0^3 - 53/63*c_1001_0^2 - 4/9*c_1001_0 - 34/63, c_0011_12 + 31/63*c_1001_0^5 - 262/63*c_1001_0^4 - 1/7*c_1001_0^3 - 37/63*c_1001_0^2 - 5/9*c_1001_0 + 25/63, c_0011_6 + c_1001_0, c_0101_0 + 1/3*c_1001_0^5 - 8/3*c_1001_0^4 - 4/3*c_1001_0^3 - c_1001_0^2 + 1/3*c_1001_0, c_0101_1 - 1, c_0101_10 + 55/63*c_1001_0^5 - 496/63*c_1001_0^4 + 92/21*c_1001_0^3 - 319/63*c_1001_0^2 + 19/9*c_1001_0 + 1/63, c_0101_2 - 1/63*c_1001_0^5 + 1/63*c_1001_0^4 + 22/21*c_1001_0^3 - 32/63*c_1001_0^2 + 17/9*c_1001_0 + 8/63, c_0101_3 - 11/21*c_1001_0^5 + 109/21*c_1001_0^4 - 142/21*c_1001_0^3 + 32/7*c_1001_0^2 - 8/3*c_1001_0 + 6/7, c_0110_11 - 11/21*c_1001_0^5 + 34/7*c_1001_0^4 - 86/21*c_1001_0^3 + 124/21*c_1001_0^2 - 5/3*c_1001_0 + 11/21, c_0110_6 - 31/63*c_1001_0^5 + 262/63*c_1001_0^4 + 1/7*c_1001_0^3 + 37/63*c_1001_0^2 + 5/9*c_1001_0 - 25/63, c_1001_0^6 - 9*c_1001_0^5 + 5*c_1001_0^4 - 7*c_1001_0^3 + 3*c_1001_0^2 - c_1001_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_10, c_0101_2, c_0101_3, c_0110_11, c_0110_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 29995662622/137279025*c_1001_0^9 + 1875668221/5491161*c_1001_0^8 - 877132295191/274558050*c_1001_0^7 + 292042917086/137279025*c_1001_0^6 - 829698045311/137279025*c_1001_0^5 + 1126708051811/274558050*c_1001_0^4 - 1568006689007/274558050*c_1001_0^3 + 26302794202/3519975*c_1001_0^2 - 895706776763/274558050*c_1001_0 + 118803945457/274558050, c_0011_0 - 1, c_0011_10 + 121599/610129*c_1001_0^9 - 105584/610129*c_1001_0^8 + 3327081/1220258*c_1001_0^7 + 50685/610129*c_1001_0^6 + 2777016/610129*c_1001_0^5 + 410947/1220258*c_1001_0^4 + 4147593/1220258*c_1001_0^3 - 164343/46933*c_1001_0^2 - 2075677/1220258*c_1001_0 + 282323/1220258, c_0011_11 + 6058/46933*c_1001_0^9 - 4780/46933*c_1001_0^8 + 82688/46933*c_1001_0^7 + 6521/46933*c_1001_0^6 + 146581/46933*c_1001_0^5 - 10538/46933*c_1001_0^4 + 143557/46933*c_1001_0^3 - 125069/46933*c_1001_0^2 + 14815/46933*c_1001_0 - 37453/46933, c_0011_12 + 6058/46933*c_1001_0^9 - 4780/46933*c_1001_0^8 + 82688/46933*c_1001_0^7 + 6521/46933*c_1001_0^6 + 146581/46933*c_1001_0^5 - 10538/46933*c_1001_0^4 + 143557/46933*c_1001_0^3 - 125069/46933*c_1001_0^2 - 32118/46933*c_1001_0 - 37453/46933, c_0011_6 + 92353/610129*c_1001_0^9 - 162211/1220258*c_1001_0^8 + 2596753/1220258*c_1001_0^7 - 31169/610129*c_1001_0^6 + 5172153/1220258*c_1001_0^5 - 192522/610129*c_1001_0^4 + 4264877/1220258*c_1001_0^3 - 327431/93866*c_1001_0^2 - 496729/610129*c_1001_0 - 1702303/1220258, c_0101_0 - 119811/1220258*c_1001_0^9 + 46425/1220258*c_1001_0^8 - 841814/610129*c_1001_0^7 - 718187/1220258*c_1001_0^6 - 2053905/610129*c_1001_0^5 - 1053401/1220258*c_1001_0^4 - 4397545/1220258*c_1001_0^3 + 50532/46933*c_1001_0^2 + 694769/1220258*c_1001_0 + 779513/610129, c_0101_1 - 1, c_0101_10 - 172273/1220258*c_1001_0^9 + 78089/1220258*c_1001_0^8 - 2376259/1220258*c_1001_0^7 - 934113/1220258*c_1001_0^6 - 2511084/610129*c_1001_0^5 - 735515/610129*c_1001_0^4 - 1905867/610129*c_1001_0^3 + 98563/46933*c_1001_0^2 + 264441/610129*c_1001_0 + 1050659/1220258, c_0101_2 - 1, c_0101_3 + 163911/1220258*c_1001_0^9 - 191109/1220258*c_1001_0^8 + 2332685/1220258*c_1001_0^7 - 774687/1220258*c_1001_0^6 + 2246785/610129*c_1001_0^5 - 1254212/610129*c_1001_0^4 + 1858549/610129*c_1001_0^3 - 190692/46933*c_1001_0^2 + 584360/610129*c_1001_0 - 661165/1220258, c_0110_11 - 172273/1220258*c_1001_0^9 + 78089/1220258*c_1001_0^8 - 2376259/1220258*c_1001_0^7 - 934113/1220258*c_1001_0^6 - 2511084/610129*c_1001_0^5 - 735515/610129*c_1001_0^4 - 1905867/610129*c_1001_0^3 + 98563/46933*c_1001_0^2 + 264441/610129*c_1001_0 + 1050659/1220258, c_0110_6 - 13599/610129*c_1001_0^9 + 37931/1220258*c_1001_0^8 - 446865/1220258*c_1001_0^7 + 115942/610129*c_1001_0^6 - 1361047/1220258*c_1001_0^5 + 55528/610129*c_1001_0^4 - 532395/1220258*c_1001_0^3 + 77293/93866*c_1001_0^2 + 79195/610129*c_1001_0 - 491733/1220258, c_1001_0^10 - c_1001_0^9 + 14*c_1001_0^8 - 2*c_1001_0^7 + 26*c_1001_0^6 - 7*c_1001_0^5 + 22*c_1001_0^4 - 27*c_1001_0^3 + c_1001_0^2 - 5*c_1001_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB