Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 2227509403] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s671 geometric_solution 5.16816208 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 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 -1 0 0 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 0.613496308751 1.249151002737 0 3 2 4 0132 0132 0132 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120110959553 0.871207133495 3 0 4 1 3201 0132 3201 0132 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 0 0 0 0 0 0 0 -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 0.120110959553 0.871207133495 5 1 5 2 0132 0132 2310 2310 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754916895866 1.114785429430 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155296782676 1.126422313004 3 3 5 5 0132 3201 2031 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 -1 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 0.481426113817 0.175863800519 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_1_5' : 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_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_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], '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_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 643133781232/13787746349*c_0101_3^17 - 844856434696/13787746349*c_0101_3^15 + 138868814299/1060595873*c_0101_3^13 - 15808630510064/13787746349*c_0101_3^11 + 26285646896237/13787746349*c_0101_3^9 - 16184488642311/13787746349*c_0101_3^7 - 3511633667680/13787746349*c_0101_3^5 + 2309890454310/13787746349*c_0101_3^3 + 342161892024/13787746349*c_0101_3, c_0011_0 - 1, c_0011_4 + 410417260352/13787746349*c_0101_3^17 - 714012992800/13787746349*c_0101_3^15 + 109211754996/1060595873*c_0101_3^13 - 10640571264628/13787746349*c_0101_3^11 + 21199872232477/13787746349*c_0101_3^9 - 18443586792585/13787746349*c_0101_3^7 + 4013008886122/13787746349*c_0101_3^5 + 883017922141/13787746349*c_0101_3^3 - 170344514705/13787746349*c_0101_3, c_0101_0 - 183449637520/13787746349*c_0101_3^16 + 310414410760/13787746349*c_0101_3^14 - 47939038869/1060595873*c_0101_3^12 + 4731098360077/13787746349*c_0101_3^10 - 9260503974461/13787746349*c_0101_3^8 + 7886745252982/13787746349*c_0101_3^6 - 1563754821546/13787746349*c_0101_3^4 - 370443495971/13787746349*c_0101_3^2 + 58346774724/13787746349, c_0101_1 + 1884829472/1060595873*c_0101_3^17 - 2189914048/1060595873*c_0101_3^15 + 5091177098/1060595873*c_0101_3^13 - 45797209861/1060595873*c_0101_3^11 + 70554911372/1060595873*c_0101_3^9 - 40151294131/1060595873*c_0101_3^7 - 9328719318/1060595873*c_0101_3^5 - 787594979/1060595873*c_0101_3^3 + 2292834189/1060595873*c_0101_3, c_0101_2 + 637330160/1060595873*c_0101_3^16 - 681113160/1060595873*c_0101_3^14 + 1559130623/1060595873*c_0101_3^12 - 15204829604/1060595873*c_0101_3^10 + 22165880287/1060595873*c_0101_3^8 - 9093115634/1060595873*c_0101_3^6 - 8091309183/1060595873*c_0101_3^4 + 996634632/1060595873*c_0101_3^2 + 1178397715/1060595873, c_0101_3^18 - 3/2*c_0101_3^16 + 49/16*c_0101_3^14 - 201/8*c_0101_3^12 + 91/2*c_0101_3^10 - 529/16*c_0101_3^8 - 1/8*c_0101_3^6 + 31/8*c_0101_3^4 + 1/8*c_0101_3^2 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB