Magma V2.19-8 Tue Aug 20 2013 16:16:22 on localhost [Seed = 3448525101] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0646 geometric_solution 4.63330983 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355442920380 0.765874172581 0 4 4 2 0132 0132 1023 3012 0 0 0 0 0 0 -1 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 0 0 0 0 -1 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 0 0 0.601242215903 0.224175113451 3 0 1 0 1230 0132 1230 3012 0 0 0 0 0 1 0 -1 0 0 1 -1 -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 0 0 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 0.643259575452 0.764332455077 3 2 0 3 3201 3012 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 -0.498585307294 1.074303602045 5 1 1 5 0132 0132 1023 3201 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 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 1.002493094645 0.344661884204 4 4 6 6 0132 2310 2310 0132 0 0 0 0 0 0 0 0 1 0 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 1 0 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 1.813490576519 0.719810340897 6 5 5 6 3012 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 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 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359346131286 0.110014858135 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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' : 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_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 1279364433/2495591*c_0101_4*c_0101_5^13 + 1654758367/2495591*c_0101_4*c_0101_5^12 - 19054059172/2495591*c_0101_4*c_0101_5^11 - 18477644513/2495591*c_0101_4*c_0101_5^10 + 77928664642/2495591*c_0101_4*c_0101_5^9 + 64687631088/2495591*c_0101_4*c_0101_5^8 - 164559100364/2495591*c_0101_4*c_0101_5^7 - 57200271871/2495591*c_0101_4*c_0101_5^6 + 175869739077/2495591*c_0101_4*c_0101_5^5 - 39320629787/2495591*c_0101_4*c_0101_5^4 - 44828961431/2495591*c_0101_4*c_0101_5^3 + 30513560456/2495591*c_0101_4*c_0101_5^2 - 1557967508/356513*c_0101_4*c_0101_5 + 1659943521/2495591*c_0101_4, c_0011_0 - 1, c_0011_3 - 667125/356513*c_0101_4*c_0101_5^13 - 11430299/2495591*c_0101_4*c_0101_5^12 + 8387050/356513*c_0101_4*c_0101_5^11 + 139900444/2495591*c_0101_4*c_0101_5^10 - 22117733/356513*c_0101_4*c_0101_5^9 - 471030022/2495591*c_0101_4*c_0101_5^8 + 162741031/2495591*c_0101_4*c_0101_5^7 + 588293660/2495591*c_0101_4*c_0101_5^6 - 141546698/2495591*c_0101_4*c_0101_5^5 - 244779351/2495591*c_0101_4*c_0101_5^4 + 74251680/2495591*c_0101_4*c_0101_5^3 + 23561778/2495591*c_0101_4*c_0101_5^2 - 10147189/2495591*c_0101_4*c_0101_5 + 2509427/2495591*c_0101_4, c_0011_6 - 1412577/2495591*c_0101_5^13 - 1890411/2495591*c_0101_5^12 + 21165595/2495591*c_0101_5^11 + 22066467/2495591*c_0101_5^10 - 87178884/2495591*c_0101_5^9 - 83766654/2495591*c_0101_5^8 + 178918224/2495591*c_0101_5^7 + 94584092/2495591*c_0101_5^6 - 182373542/2495591*c_0101_5^5 + 12128839/2495591*c_0101_5^4 + 47157686/2495591*c_0101_5^3 - 25030952/2495591*c_0101_5^2 + 6161731/2495591*c_0101_5 + 1396473/2495591, c_0101_0 + 5906434/2495591*c_0101_4*c_0101_5^13 + 14866213/2495591*c_0101_4*c_0101_5^12 - 73834898/2495591*c_0101_4*c_0101_5^11 - 183782833/2495591*c_0101_4*c_0101_5^10 + 189464847/2495591*c_0101_4*c_0101_5^9 + 627689305/2495591*c_0101_4*c_0101_5^8 - 168332903/2495591*c_0101_4*c_0101_5^7 - 797414398/2495591*c_0101_4*c_0101_5^6 + 118035864/2495591*c_0101_4*c_0101_5^5 + 327537603/2495591*c_0101_4*c_0101_5^4 - 88612812/2495591*c_0101_4*c_0101_5^3 - 7501518/2495591*c_0101_4*c_0101_5^2 + 4781512/356513*c_0101_4*c_0101_5 - 7042162/2495591*c_0101_4, c_0101_1 - 1099118/2495591*c_0101_5^13 - 112237/356513*c_0101_5^12 + 17278063/2495591*c_0101_5^11 + 901765/356513*c_0101_5^10 - 78121485/2495591*c_0101_5^9 - 16138208/2495591*c_0101_5^8 + 187083746/2495591*c_0101_5^7 - 28339058/2495591*c_0101_5^6 - 213288836/2495591*c_0101_5^5 + 107633518/2495591*c_0101_5^4 + 52719123/2495591*c_0101_5^3 - 46058568/2495591*c_0101_5^2 + 12643299/2495591*c_0101_5 - 95163/356513, c_0101_4^2 + 1412577/2495591*c_0101_5^13 + 1890411/2495591*c_0101_5^12 - 21165595/2495591*c_0101_5^11 - 22066467/2495591*c_0101_5^10 + 87178884/2495591*c_0101_5^9 + 83766654/2495591*c_0101_5^8 - 178918224/2495591*c_0101_5^7 - 94584092/2495591*c_0101_5^6 + 182373542/2495591*c_0101_5^5 - 12128839/2495591*c_0101_5^4 - 47157686/2495591*c_0101_5^3 + 22535361/2495591*c_0101_5^2 - 6161731/2495591*c_0101_5 - 1396473/2495591, c_0101_5^14 + 2*c_0101_5^13 - 14*c_0101_5^12 - 25*c_0101_5^11 + 51*c_0101_5^10 + 94*c_0101_5^9 - 94*c_0101_5^8 - 137*c_0101_5^7 + 108*c_0101_5^6 + 68*c_0101_5^5 - 59*c_0101_5^4 - c_0101_5^3 + 9*c_0101_5^2 - 5*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB