Magma V2.19-8 Tue Aug 20 2013 23:46:56 on localhost [Seed = 3230051057] Type ? for help. Type -D to quit. Loading file "K14n5046__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n5046 geometric_solution 10.86575167 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558183323853 0.899876832105 0 5 4 6 0132 0132 1230 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 1 -1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439627205926 0.895417395344 6 0 6 7 0321 0132 1230 0132 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279916128427 0.636750810472 6 7 8 0 1023 2031 0132 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 -1 0 1 0 0 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060164332092 0.585665614633 4 4 0 1 1230 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.502220672355 0.802496357930 7 1 9 8 3201 0132 0132 1302 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 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764190523431 0.599382492356 2 3 1 2 0321 1023 0132 3012 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421427351058 1.316132104288 3 10 2 5 1302 0132 0132 2310 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 -5 5 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.743215262696 0.843736565095 9 10 5 3 1023 0213 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 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 0.261388986512 0.509729906984 11 8 11 5 0132 1023 0213 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 1 -1 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 0.725505106904 0.882315756965 11 7 8 11 3201 0132 0213 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 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 0.443988688985 0.676187577579 9 9 10 10 0132 0213 2031 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321487136832 1.033364093916 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0110_5']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : negation(d['c_0110_5']), 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_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_0101_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_1001_1']), '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'], '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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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' : d['c_0011_11'], 'c_0110_10' : negation(d['c_0101_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), '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_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_8, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 97/32*c_1001_1^5 + 119/16*c_1001_1^4 + 133/32*c_1001_1^3 - 301/16*c_1001_1^2 + 8*c_1001_1 + 515/32, c_0011_0 - 1, c_0011_10 - c_1001_1^5 + 4*c_1001_1^4 - 4*c_1001_1^3 - c_1001_1^2 + 3*c_1001_1 + 1, c_0011_11 - c_1001_1^5 + 3*c_1001_1^4 - c_1001_1^3 - 3*c_1001_1^2 + 3*c_1001_1 + 2, c_0011_3 - c_1001_1, c_0011_4 - 2*c_1001_1^5 + 7*c_1001_1^4 - 6*c_1001_1^3 - 2*c_1001_1^2 + 5*c_1001_1 + 3, c_0101_0 + 1, c_0101_1 - c_1001_1^5 + 4*c_1001_1^4 - 5*c_1001_1^3 + c_1001_1^2 + 2*c_1001_1 + 1, c_0101_11 + c_1001_1, c_0101_3 - c_1001_1^5 + 4*c_1001_1^4 - 4*c_1001_1^3 - c_1001_1^2 + 3*c_1001_1 + 1, c_0101_8 + 1, c_0110_5 - c_1001_1^3 + 2*c_1001_1^2 - 1, c_1001_1^6 - 3*c_1001_1^5 + c_1001_1^4 + 3*c_1001_1^3 - 2*c_1001_1^2 - 3*c_1001_1 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_8, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 15170571410/904177249*c_1001_1^9 - 24110176859/904177249*c_1001_1^8 + 65874238561/904177249*c_1001_1^7 + 23266116401/904177249*c_1001_1^6 - 150418228741/904177249*c_1001_1^5 + 148493939900/904177249*c_1001_1^4 + 371705284331/904177249*c_1001_1^3 + 139261133032/904177249*c_1001_1^2 - 514289612305/904177249*c_1001_1 + 971330724972/904177249, c_0011_0 - 1, c_0011_10 - 162346/3128641*c_1001_1^9 - 775438/3128641*c_1001_1^8 - 1098983/3128641*c_1001_1^7 - 903203/3128641*c_1001_1^6 - 2409012/3128641*c_1001_1^5 - 3978475/3128641*c_1001_1^4 - 3483295/3128641*c_1001_1^3 - 1349642/3128641*c_1001_1^2 - 2685308/3128641*c_1001_1 - 1773486/3128641, c_0011_11 - 129289/3128641*c_1001_1^9 - 237934/3128641*c_1001_1^8 + 844942/3128641*c_1001_1^7 + 1640746/3128641*c_1001_1^6 + 150687/3128641*c_1001_1^5 + 1337422/3128641*c_1001_1^4 + 5334029/3128641*c_1001_1^3 + 7560512/3128641*c_1001_1^2 - 1639355/3128641*c_1001_1 + 3832393/3128641, c_0011_3 - c_1001_1, c_0011_4 + 79715/3128641*c_1001_1^9 + 401491/3128641*c_1001_1^8 + 855153/3128641*c_1001_1^7 + 1338128/3128641*c_1001_1^6 + 2019213/3128641*c_1001_1^5 + 3285877/3128641*c_1001_1^4 + 4377050/3128641*c_1001_1^3 + 3961585/3128641*c_1001_1^2 + 4299097/3128641*c_1001_1 + 1489583/3128641, c_0101_0 + 1, c_0101_1 - 107807/3128641*c_1001_1^9 - 110389/3128641*c_1001_1^8 + 965656/3128641*c_1001_1^7 + 1425939/3128641*c_1001_1^6 + 236577/3128641*c_1001_1^5 + 2294387/3128641*c_1001_1^4 + 5032954/3128641*c_1001_1^3 + 5483956/3128641*c_1001_1^2 - 2299518/3128641*c_1001_1 + 4357601/3128641, c_0101_11 + 50686/3128641*c_1001_1^9 + 298025/3128641*c_1001_1^8 + 650377/3128641*c_1001_1^7 + 842672/3128641*c_1001_1^6 + 1071252/3128641*c_1001_1^5 + 1593514/3128641*c_1001_1^4 + 2647503/3128641*c_1001_1^3 + 3468340/3128641*c_1001_1^2 + 55188/3128641*c_1001_1 + 59233/3128641, c_0101_3 - 162346/3128641*c_1001_1^9 - 775438/3128641*c_1001_1^8 - 1098983/3128641*c_1001_1^7 - 903203/3128641*c_1001_1^6 - 2409012/3128641*c_1001_1^5 - 3978475/3128641*c_1001_1^4 - 3483295/3128641*c_1001_1^3 - 1349642/3128641*c_1001_1^2 - 2685308/3128641*c_1001_1 - 1773486/3128641, c_0101_8 + 191056/3128641*c_1001_1^9 + 774625/3128641*c_1001_1^8 + 854560/3128641*c_1001_1^7 + 499317/3128641*c_1001_1^6 + 1661903/3128641*c_1001_1^5 + 3108071/3128641*c_1001_1^4 + 2168337/3128641*c_1001_1^3 - 1841265/3128641*c_1001_1^2 + 900344/3128641*c_1001_1 - 1831460/3128641, c_0110_5 + 100878/3128641*c_1001_1^9 + 424757/3128641*c_1001_1^8 + 526668/3128641*c_1001_1^7 + 223979/3128641*c_1001_1^6 + 410033/3128641*c_1001_1^5 + 1680075/3128641*c_1001_1^4 + 1031470/3128641*c_1001_1^3 - 1799123/3128641*c_1001_1^2 + 738702/3128641*c_1001_1 + 108136/3128641, c_1001_1^10 + 3*c_1001_1^9 + c_1001_1^8 + 3*c_1001_1^7 + 14*c_1001_1^6 + 11*c_1001_1^5 + 5*c_1001_1^4 + 6*c_1001_1^3 + 37*c_1001_1^2 - 15*c_1001_1 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.830 Total time: 1.040 seconds, Total memory usage: 32.09MB