Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 2480017071] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3537 geometric_solution 6.90932266 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 1 2 0132 1302 3012 0132 0 0 0 1 0 -1 -1 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476574173065 0.658846991249 0 0 3 0 0132 1230 0132 2031 0 0 1 0 0 0 0 0 0 0 -1 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739245680142 0.930503935977 4 5 0 6 0132 0132 0132 0132 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 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 0.739245680142 0.930503935977 4 6 5 1 3120 2031 3120 0132 0 0 0 0 0 -1 1 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 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476574173065 0.658846991249 2 4 4 3 0132 3201 2310 3120 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 0.624984978026 0.808023582455 5 2 3 5 3201 0132 3120 2310 0 0 0 0 0 -1 1 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 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 0.196673683198 0.799907253379 3 6 2 6 1302 1302 0132 2031 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625066781062 0.622406413882 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_5']})} 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_2, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 930888448/34495*c_0110_6^8 - 5093385676/34495*c_0110_6^7 + 3817379059/34495*c_0110_6^6 + 7573693642/34495*c_0110_6^5 + 3169476951/34495*c_0110_6^4 + 4230678132/34495*c_0110_6^3 + 2625531634/34495*c_0110_6^2 - 3216442664/34495*c_0110_6 + 551060258/34495, c_0011_0 - 1, c_0011_2 + 49723828/862375*c_0110_6^8 - 271287191/862375*c_0110_6^7 + 199928734/862375*c_0110_6^6 + 406129357/862375*c_0110_6^5 + 177036826/862375*c_0110_6^4 + 231088477/862375*c_0110_6^3 + 144717519/862375*c_0110_6^2 - 168233504/862375*c_0110_6 + 27726673/862375, c_0011_3 - 12446637/172475*c_0110_6^8 + 68176164/172475*c_0110_6^7 - 51433411/172475*c_0110_6^6 - 101015678/172475*c_0110_6^5 - 41838829/172475*c_0110_6^4 - 56087258/172475*c_0110_6^3 - 34423826/172475*c_0110_6^2 + 43450541/172475*c_0110_6 - 7524267/172475, c_0011_6 - 41967996/862375*c_0110_6^8 + 229895362/862375*c_0110_6^7 - 173484863/862375*c_0110_6^6 - 340821674/862375*c_0110_6^5 - 140462682/862375*c_0110_6^4 - 188457389/862375*c_0110_6^3 - 116623858/862375*c_0110_6^2 + 146406753/862375*c_0110_6 - 25657536/862375, c_0101_1 - 1, c_0101_5 - 41967996/862375*c_0110_6^8 + 229895362/862375*c_0110_6^7 - 173484863/862375*c_0110_6^6 - 340821674/862375*c_0110_6^5 - 140462682/862375*c_0110_6^4 - 188457389/862375*c_0110_6^3 - 116623858/862375*c_0110_6^2 + 146406753/862375*c_0110_6 - 24795161/862375, c_0110_6^9 - 40/7*c_0110_6^8 + 38/7*c_0110_6^7 + 50/7*c_0110_6^6 + 10/7*c_0110_6^5 + 26/7*c_0110_6^4 + 12/7*c_0110_6^3 - 29/7*c_0110_6^2 + 10/7*c_0110_6 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB