Magma V2.19-8 Tue Aug 20 2013 18:10:18 on localhost [Seed = 4054862571] Type ? for help. Type -D to quit. Loading file "10^2_53__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_53 geometric_solution 14.21497728 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 0 0 0 0 0 1 -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 -1 1 -1 0 2 -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 0.010313353198 0.627589759747 0 5 6 6 0132 0132 2103 0132 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 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 0.455363444667 0.793631968683 7 0 4 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 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 0.270611815776 0.962062916538 4 9 8 0 0132 0132 0132 0132 0 0 1 1 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 -1 0 1 1 0 1 -2 1 -2 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791123428229 1.289048938358 3 10 0 2 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.085218039500 1.027299693130 7 1 11 12 1023 0132 0132 0132 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 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 0.184980803424 0.699965152499 1 13 1 12 2103 0132 0132 0213 0 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 0 0 0 0 0 -1 0 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 0.456092536875 0.947951259146 2 5 11 13 0132 1023 1023 3012 0 0 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.155589960748 2.110819985434 14 9 2 3 0132 0213 0132 0132 0 0 1 1 0 0 0 0 0 0 0 0 0 -1 0 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 1 0 0 -1 0 2 0 -2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616311184411 0.815868638036 14 3 8 11 1230 0132 0213 1230 0 1 1 1 0 0 0 0 -1 0 1 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 1 0 -1 2 0 -2 0 0 1 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517053520115 0.379543625731 13 4 12 12 0321 0132 2103 2031 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 -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 0.613057263678 0.715857999388 9 14 7 5 3012 1302 1023 0132 0 0 1 1 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 1 0 0 -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 0.344168328167 0.742815779289 10 10 5 6 2103 1302 0132 0213 0 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 0 0 0 0 0 1 0 -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 0.613057263678 0.715857999388 10 6 7 14 0321 0132 1230 1302 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 0 0 0 0 0 0 0 0 0 0 0.787524697219 1.037237125359 8 9 13 11 0132 3012 2031 2031 1 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 0 0 0 0 0 0 0 -1 0 1 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 0.349128851192 0.554240322807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_13']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_13']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_0110_12'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_0011_12'], 'c_1010_14' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : negation(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_12' : negation(d['1']), 's_2_13' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : d['c_0011_11'], 'c_1100_9' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_13'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_13']), 'c_1100_6' : d['c_0110_12'], 'c_1100_1' : d['c_0110_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_13'], 'c_1100_10' : negation(d['c_0110_12']), 'c_1100_13' : d['c_0101_14'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_13'], 'c_1010_5' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_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' : negation(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'], 'c_1100_12' : d['c_1001_13'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0101_13' : negation(d['c_0101_10']), 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : negation(d['c_0011_13']), 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0110_12'], 'c_0110_14' : d['c_0101_7'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_10'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_0'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_14'], 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_7'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_14'], 'c_0110_7' : d['c_0101_14'], 'c_0110_6' : negation(d['c_0110_12'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0101_0, c_0101_10, c_0101_11, c_0101_14, c_0101_7, c_0110_12, c_1001_0, c_1001_13, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 8484596397/52433491*c_1100_0^19 - 22355830527/52433491*c_1100_0^18 - 2357774977/2279717*c_1100_0^17 - 85999373532/52433491*c_1100_0^16 - 168591508176/52433491*c_1100_0^15 - 255407810030/52433491*c_1100_0^14 - 407589113510/52433491*c_1100_0^13 - 525060963519/52433491*c_1100_0^12 - 712705262032/52433491*c_1100_0^11 - 75029431409/4766681*c_1100_0^10 - 56814764436/3084323*c_1100_0^9 - 991648208218/52433491*c_1100_0^8 - 91461583528/4766681*c_1100_0^7 - 82504446543/4766681*c_1100_0^6 - 762228835377/52433491*c_1100_0^5 - 566672702483/52433491*c_1100_0^4 - 362935692248/52433491*c_1100_0^3 - 12001815939/3084323*c_1100_0^2 - 78831865872/52433491*c_1100_0 - 24867831860/52433491, c_0011_0 - 1, c_0011_10 - 126/169*c_1100_0^19 + 7/169*c_1100_0^18 - 207/169*c_1100_0^17 + 51/169*c_1100_0^16 - 878/169*c_1100_0^15 + 152/169*c_1100_0^14 - 1031/169*c_1100_0^13 + 315/169*c_1100_0^12 - 1920/169*c_1100_0^11 + 47/13*c_1100_0^10 - 1551/169*c_1100_0^9 + 515/169*c_1100_0^8 - 1340/169*c_1100_0^7 + 776/169*c_1100_0^6 - 652/169*c_1100_0^5 + 28/169*c_1100_0^4 - 32/169*c_1100_0^3 + 224/169*c_1100_0^2 - 62/169*c_1100_0 - 66/169, c_0011_11 - 168/169*c_1100_0^19 + 122/169*c_1100_0^18 - 276/169*c_1100_0^17 + 406/169*c_1100_0^16 - 1058/169*c_1100_0^15 + 1273/169*c_1100_0^14 - 1431/169*c_1100_0^13 + 2279/169*c_1100_0^12 - 2222/169*c_1100_0^11 + 288/13*c_1100_0^10 - 2575/169*c_1100_0^9 + 3785/169*c_1100_0^8 - 2012/169*c_1100_0^7 + 3457/169*c_1100_0^6 - 1827/169*c_1100_0^5 + 1671/169*c_1100_0^4 - 944/169*c_1100_0^3 + 186/169*c_1100_0^2 - 308/169*c_1100_0 + 250/169, c_0011_12 - 7/13*c_1100_0^19 - 9/13*c_1100_0^18 - 18/13*c_1100_0^17 - 21/13*c_1100_0^16 - 56/13*c_1100_0^15 - 58/13*c_1100_0^14 - 84/13*c_1100_0^13 - 93/13*c_1100_0^12 - 124/13*c_1100_0^11 - 8*c_1100_0^10 - 97/13*c_1100_0^9 - 105/13*c_1100_0^8 - 60/13*c_1100_0^7 - 45/13*c_1100_0^6 - 3/13*c_1100_0^5 - 10/13*c_1100_0^4 + 30/13*c_1100_0^3 - 2/13*c_1100_0^2 - 2/13*c_1100_0 - 8/13, c_0011_13 - 10/13*c_1100_0^19 + 2/13*c_1100_0^18 - 22/13*c_1100_0^17 - 4/13*c_1100_0^16 - 67/13*c_1100_0^15 + 10/13*c_1100_0^14 - 107/13*c_1100_0^13 - 14/13*c_1100_0^12 - 140/13*c_1100_0^11 + 2*c_1100_0^10 - 159/13*c_1100_0^9 + 6/13*c_1100_0^8 - 108/13*c_1100_0^7 + 36/13*c_1100_0^6 - 73/13*c_1100_0^5 + 34/13*c_1100_0^4 - 37/13*c_1100_0^3 + 12/13*c_1100_0^2 - 14/13*c_1100_0 - 4/13, c_0101_0 - 1, c_0101_10 + 2/13*c_1100_0^19 + 10/13*c_1100_0^18 + 7/13*c_1100_0^17 + 19/13*c_1100_0^16 + 16/13*c_1100_0^15 + 63/13*c_1100_0^14 + 24/13*c_1100_0^13 + 86/13*c_1100_0^12 + 28/13*c_1100_0^11 + 9*c_1100_0^10 - 2/13*c_1100_0^9 + 108/13*c_1100_0^8 - 20/13*c_1100_0^7 + 63/13*c_1100_0^6 - 53/13*c_1100_0^5 + 27/13*c_1100_0^4 - 55/13*c_1100_0^3 + 8/13*c_1100_0^2 - 5/13*c_1100_0 + 6/13, c_0101_11 - 2/13*c_1100_0^19 - 10/13*c_1100_0^18 - 7/13*c_1100_0^17 - 19/13*c_1100_0^16 - 16/13*c_1100_0^15 - 63/13*c_1100_0^14 - 24/13*c_1100_0^13 - 86/13*c_1100_0^12 - 28/13*c_1100_0^11 - 9*c_1100_0^10 + 2/13*c_1100_0^9 - 108/13*c_1100_0^8 + 7/13*c_1100_0^7 - 63/13*c_1100_0^6 + 40/13*c_1100_0^5 - 27/13*c_1100_0^4 + 29/13*c_1100_0^3 - 8/13*c_1100_0^2 - 8/13*c_1100_0 - 6/13, c_0101_14 - 2/13*c_1100_0^19 + 3/13*c_1100_0^18 - 7/13*c_1100_0^17 + 7/13*c_1100_0^16 - 16/13*c_1100_0^15 + 28/13*c_1100_0^14 - 37/13*c_1100_0^13 + 44/13*c_1100_0^12 - 41/13*c_1100_0^11 + 6*c_1100_0^10 - 63/13*c_1100_0^9 + 87/13*c_1100_0^8 - 45/13*c_1100_0^7 + 67/13*c_1100_0^6 - 38/13*c_1100_0^5 + 51/13*c_1100_0^4 - 23/13*c_1100_0^3 + 5/13*c_1100_0^2 - 8/13*c_1100_0 - 6/13, c_0101_7 + 2/13*c_1100_0^19 - 3/13*c_1100_0^18 + 7/13*c_1100_0^17 - 7/13*c_1100_0^16 + 16/13*c_1100_0^15 - 28/13*c_1100_0^14 + 37/13*c_1100_0^13 - 44/13*c_1100_0^12 + 41/13*c_1100_0^11 - 6*c_1100_0^10 + 63/13*c_1100_0^9 - 87/13*c_1100_0^8 + 45/13*c_1100_0^7 - 67/13*c_1100_0^6 + 38/13*c_1100_0^5 - 51/13*c_1100_0^4 + 23/13*c_1100_0^3 + 8/13*c_1100_0^2 + 8/13*c_1100_0 + 6/13, c_0110_12 - c_1100_0^16 - 2*c_1100_0^14 - 6*c_1100_0^12 - 8*c_1100_0^10 - 10*c_1100_0^8 - 8*c_1100_0^6 - 4*c_1100_0^4, c_1001_0 + 7/13*c_1100_0^19 + 9/13*c_1100_0^18 + 18/13*c_1100_0^17 + 21/13*c_1100_0^16 + 56/13*c_1100_0^15 + 58/13*c_1100_0^14 + 84/13*c_1100_0^13 + 93/13*c_1100_0^12 + 124/13*c_1100_0^11 + 8*c_1100_0^10 + 97/13*c_1100_0^9 + 105/13*c_1100_0^8 + 60/13*c_1100_0^7 + 45/13*c_1100_0^6 + 3/13*c_1100_0^5 + 10/13*c_1100_0^4 - 30/13*c_1100_0^3 + 2/13*c_1100_0^2 + 15/13*c_1100_0 + 8/13, c_1001_13 - c_1100_0^9 - c_1100_0^7 - 3*c_1100_0^5 - 2*c_1100_0^3 - c_1100_0, c_1001_5 + 10/13*c_1100_0^19 - 2/13*c_1100_0^18 + 22/13*c_1100_0^17 - 9/13*c_1100_0^16 + 67/13*c_1100_0^15 - 36/13*c_1100_0^14 + 107/13*c_1100_0^13 - 64/13*c_1100_0^12 + 140/13*c_1100_0^11 - 10*c_1100_0^10 + 159/13*c_1100_0^9 - 136/13*c_1100_0^8 + 108/13*c_1100_0^7 - 140/13*c_1100_0^6 + 73/13*c_1100_0^5 - 86/13*c_1100_0^4 + 37/13*c_1100_0^3 - 12/13*c_1100_0^2 + 14/13*c_1100_0 + 4/13, c_1100_0^20 + c_1100_0^19 + 3*c_1100_0^18 + 2*c_1100_0^17 + 9*c_1100_0^16 + 6*c_1100_0^15 + 16*c_1100_0^14 + 8*c_1100_0^13 + 24*c_1100_0^12 + 9*c_1100_0^11 + 25*c_1100_0^10 + 6*c_1100_0^9 + 21*c_1100_0^8 + 10*c_1100_0^6 - 4*c_1100_0^5 + 3*c_1100_0^4 - 3*c_1100_0^3 + c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.670 Total time: 5.889 seconds, Total memory usage: 64.12MB