Magma V2.19-8 Wed Aug 21 2013 00:56:20 on localhost [Seed = 4594237] Type ? for help. Type -D to quit. Loading file "L13n162__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n162 geometric_solution 12.27656278 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 1 1 1 0 -3 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 2 -1 -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 0.579097612659 0.884769788729 0 4 6 5 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606323501408 0.762942383435 7 0 6 0 0132 0132 3012 0213 0 1 1 1 0 3 -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 -2 1 1 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 0.579097612659 0.884769788729 7 6 6 0 2031 3012 3120 0132 0 1 1 1 0 2 0 -2 0 0 0 0 0 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 1 0 0 -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 0.482103104558 0.791264748372 8 1 9 10 0132 0132 0132 0132 1 1 1 1 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 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 0.516665963123 0.507152355819 8 9 1 11 3012 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719636744291 0.364204928987 3 2 3 1 1230 1230 3120 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579097612659 0.884769788729 2 8 3 10 0132 0132 1302 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 0 -1 1 0 0 1 -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 0.606323501408 0.762942383435 4 7 12 5 0132 0132 0132 1230 1 1 1 1 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 0 0 0 0 0 0 0 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 -0.201070399966 1.285055776428 12 5 10 4 0132 0132 2103 0132 1 1 1 1 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 -1 1 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 1.192009433219 0.612941802409 9 7 4 11 2103 1302 0132 0213 1 1 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 -1 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 0.676092120760 0.978274829085 12 12 5 10 2031 0132 0132 0213 1 1 1 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853179402524 0.848323018563 9 11 11 8 0132 0132 1302 0132 1 1 1 1 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 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 0.198082794016 1.144513757835 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0110_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : 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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_0'], '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_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_11'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : 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_0110_11' : negation(d['c_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), '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_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0101_11']})} 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_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0110_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 22143/32798*c_1001_4^5 + 157209/32798*c_1001_4^4 + 195898/16399*c_1001_4^3 - 22982/16399*c_1001_4^2 - 15325/32798*c_1001_4 + 155821/32798, c_0011_0 - 1, c_0011_10 - c_1001_4, c_0011_11 - 428/529*c_1001_4^5 - 2868/529*c_1001_4^4 - 6443/529*c_1001_4^3 + 3540/529*c_1001_4^2 - 440/529*c_1001_4 - 836/529, c_0011_3 - 538/529*c_1001_4^5 - 3526/529*c_1001_4^4 - 7518/529*c_1001_4^3 + 5844/529*c_1001_4^2 - 296/529*c_1001_4 - 774/529, c_0011_6 + 1, c_0101_0 + 538/529*c_1001_4^5 + 3526/529*c_1001_4^4 + 7518/529*c_1001_4^3 - 5844/529*c_1001_4^2 + 296/529*c_1001_4 + 1303/529, c_0101_10 - 488/529*c_1001_4^5 - 3275/529*c_1001_4^4 - 7366/529*c_1001_4^3 + 3883/529*c_1001_4^2 - 650/529*c_1001_4 - 1235/529, c_0101_11 - 298/529*c_1001_4^5 - 1898/529*c_1001_4^4 - 3826/529*c_1001_4^3 + 3943/529*c_1001_4^2 - 1572/529*c_1001_4 - 765/529, c_0101_2 + 538/529*c_1001_4^5 + 3526/529*c_1001_4^4 + 7518/529*c_1001_4^3 - 5844/529*c_1001_4^2 + 296/529*c_1001_4 + 1303/529, c_0101_3 - 1, c_0101_6 + 1, c_0110_10 + 89/529*c_1001_4^5 + 542/529*c_1001_4^4 + 990/529*c_1001_4^3 - 1364/529*c_1001_4^2 + 1105/529*c_1001_4 + 248/529, c_1001_4^6 + 7*c_1001_4^5 + 17*c_1001_4^4 - 4*c_1001_4^3 - 2*c_1001_4^2 + 3*c_1001_4 + 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_3, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_6, c_0110_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 80648/3007*c_1001_4^7 + 212789/3007*c_1001_4^6 + 1777171/6014*c_1001_4^5 + 1486343/6014*c_1001_4^4 + 206814/3007*c_1001_4^3 - 687156/3007*c_1001_4^2 - 613801/6014*c_1001_4 - 216149/6014, c_0011_0 - 1, c_0011_10 - c_1001_4, c_0011_11 - 24576/3007*c_1001_4^7 - 27360/3007*c_1001_4^6 + 2084/3007*c_1001_4^5 + 41156/3007*c_1001_4^4 + 23941/3007*c_1001_4^3 - 7280/3007*c_1001_4^2 - 11896/3007*c_1001_4 - 6188/3007, c_0011_3 + 53536/3007*c_1001_4^7 + 25396/3007*c_1001_4^6 - 16834/3007*c_1001_4^5 - 83530/3007*c_1001_4^4 - 8978/3007*c_1001_4^3 + 15796/3007*c_1001_4^2 + 22124/3007*c_1001_4 + 8014/3007, c_0011_6 - 1, c_0101_0 + 53536/3007*c_1001_4^7 + 25396/3007*c_1001_4^6 - 16834/3007*c_1001_4^5 - 83530/3007*c_1001_4^4 - 8978/3007*c_1001_4^3 + 15796/3007*c_1001_4^2 + 22124/3007*c_1001_4 + 5007/3007, c_0101_10 - 12960/3007*c_1001_4^7 - 14804/3007*c_1001_4^6 + 1052/3007*c_1001_4^5 + 25791/3007*c_1001_4^4 + 19802/3007*c_1001_4^3 - 4027/3007*c_1001_4^2 - 10126/3007*c_1001_4 - 6881/3007, c_0101_11 - 45472/3007*c_1001_4^7 - 11908/3007*c_1001_4^6 + 16714/3007*c_1001_4^5 + 69086/3007*c_1001_4^4 - 6818/3007*c_1001_4^3 - 8145/3007*c_1001_4^2 - 20100/3007*c_1001_4 - 1661/3007, c_0101_2 + 53536/3007*c_1001_4^7 + 25396/3007*c_1001_4^6 - 16834/3007*c_1001_4^5 - 83530/3007*c_1001_4^4 - 8978/3007*c_1001_4^3 + 15796/3007*c_1001_4^2 + 22124/3007*c_1001_4 + 5007/3007, c_0101_3 - 1, c_0101_6 + 1, c_0110_10 + 18640/3007*c_1001_4^7 + 1394/3007*c_1001_4^6 + 9/3007*c_1001_4^5 - 22672/3007*c_1001_4^4 + 6898/3007*c_1001_4^3 - 3656/3007*c_1001_4^2 + 7065/3007*c_1001_4 - 702/3007, c_1001_4^8 + 5/8*c_1001_4^7 - 1/16*c_1001_4^6 - 25/16*c_1001_4^5 - 7/16*c_1001_4^4 + 1/2*c_1001_4^2 + 3/16*c_1001_4 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB