Magma V2.19-8 Wed Aug 21 2013 00:54:32 on localhost [Seed = 1982884896] Type ? for help. Type -D to quit. Loading file "L12n357__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n357 geometric_solution 11.49416297 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 0 1 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 -1 0 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 0 0 0 0.107588679288 0.692167058435 0 4 6 5 0132 0132 0132 0132 1 0 0 1 0 -1 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 0 -3 3 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 0.470370189688 0.925811090846 0 0 8 7 3012 0132 0132 0132 0 0 0 1 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 -1 0 -1 0 0 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699659801581 0.542666207304 5 8 9 0 0213 3201 0132 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 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 1.078618185626 0.788709029481 6 1 8 10 0321 0132 2103 0132 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 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.039049691903 0.312755717749 3 11 1 7 0213 0132 0132 2103 1 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 2 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 -0.706642244990 0.954752988269 4 12 9 1 0321 0132 3012 0132 1 0 1 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 4 -1 -3 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 0.616941929931 1.366617808883 9 10 2 5 2031 2031 0132 2103 0 0 1 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 -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 1.107588679288 0.692167058435 4 10 3 2 2103 1302 2310 0132 0 0 1 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 0 0 0 0 1 -2 1 0 0 0 0 3 -4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757284741117 1.206969411377 12 6 7 3 0213 1230 1302 0132 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 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 0.490674710721 0.949043695749 7 11 4 8 1302 0321 0132 2031 1 0 0 1 0 -1 0 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 -4 0 4 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 0.988876430842 0.863955458992 12 5 12 10 3012 0132 0321 0321 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 -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 0 0 0 0 0 0.655335145819 0.654123518429 9 6 11 11 0213 0132 0321 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 -4 4 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 1.154381804972 1.159280447146 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0110_7'], 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : 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' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0011_12'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_7']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : negation(d['c_0101_2']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_4']), 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0011_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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_0011_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_9'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0101_4'], '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' : d['c_0101_2'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_12, c_0011_3, c_0011_8, c_0011_9, c_0101_2, c_0101_4, c_0101_7, c_0110_10, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11224391/53059320*c_1001_1^13 + 38730541/53059320*c_1001_1^12 + 11602817/10611864*c_1001_1^11 - 21560561/53059320*c_1001_1^10 - 49447361/21223728*c_1001_1^9 - 11915327/5305932*c_1001_1^8 + 1102583/786064*c_1001_1^7 + 9316481/5895480*c_1001_1^6 + 21671609/53059320*c_1001_1^5 - 34443563/53059320*c_1001_1^4 + 175338031/106118640*c_1001_1^3 + 9257459/4421610*c_1001_1^2 + 192151667/106118640*c_1001_1 + 3778339/4421610, c_0011_0 - 1, c_0011_10 + 1/32*c_1001_1^13 + 7/32*c_1001_1^12 + 17/32*c_1001_1^11 + 15/32*c_1001_1^10 - 15/32*c_1001_1^9 - 41/32*c_1001_1^8 - 25/32*c_1001_1^7 + 17/32*c_1001_1^6 + 23/32*c_1001_1^5 + 9/32*c_1001_1^4 - 5/32*c_1001_1^3 + 13/32*c_1001_1^2 + 15/8*c_1001_1 + 9/8, c_0011_11 + 1/32*c_1001_1^13 + 5/32*c_1001_1^12 + 13/32*c_1001_1^11 + 9/32*c_1001_1^10 - 15/32*c_1001_1^9 - 43/32*c_1001_1^8 - 13/32*c_1001_1^7 + 23/32*c_1001_1^6 + 39/32*c_1001_1^5 - 13/32*c_1001_1^4 + 7/32*c_1001_1^3 - 5/32*c_1001_1^2 + 15/8*c_1001_1 - 1/8, c_0011_12 + 5/16*c_1001_1^13 + c_1001_1^12 + 27/16*c_1001_1^11 - 1/8*c_1001_1^10 - 39/16*c_1001_1^9 - 17/4*c_1001_1^8 + 5/16*c_1001_1^7 + 11/8*c_1001_1^6 + 63/16*c_1001_1^5 - 2*c_1001_1^4 + 21/16*c_1001_1^3 + 21/8*c_1001_1^2 + 21/4*c_1001_1 + 3/2, c_0011_3 - 1, c_0011_8 - 1/32*c_1001_1^13 - 3/32*c_1001_1^12 - 1/32*c_1001_1^11 + 13/32*c_1001_1^10 + 23/32*c_1001_1^9 + 5/32*c_1001_1^8 - 31/32*c_1001_1^7 - 29/32*c_1001_1^6 + 1/32*c_1001_1^5 + 19/32*c_1001_1^4 + 5/32*c_1001_1^3 - 17/32*c_1001_1^2 - 3/8*c_1001_1 + 11/8, c_0011_9 - 1/8*c_1001_1^13 - 7/16*c_1001_1^12 - 3/4*c_1001_1^11 - 1/16*c_1001_1^10 + 9/8*c_1001_1^9 + 29/16*c_1001_1^8 - 15/16*c_1001_1^6 - 11/8*c_1001_1^5 + 11/16*c_1001_1^4 - 1/4*c_1001_1^3 - 15/16*c_1001_1^2 - 5/2*c_1001_1 - 3/4, c_0101_2 - 3/8*c_1001_1^13 - 5/4*c_1001_1^12 - 17/8*c_1001_1^11 + 25/8*c_1001_1^9 + 21/4*c_1001_1^8 + 1/8*c_1001_1^7 - 2*c_1001_1^6 - 37/8*c_1001_1^5 + 3/4*c_1001_1^4 - 11/8*c_1001_1^3 - 7/2*c_1001_1^2 - 6*c_1001_1 - 2, c_0101_4 - 1/16*c_1001_1^12 - 1/8*c_1001_1^11 - 3/16*c_1001_1^10 + 1/4*c_1001_1^9 + 3/16*c_1001_1^8 + 5/8*c_1001_1^7 - 9/16*c_1001_1^6 + 3/4*c_1001_1^5 - 15/16*c_1001_1^4 + 11/8*c_1001_1^3 - 33/16*c_1001_1^2 - 1/2*c_1001_1 - 5/4, c_0101_7 + 15/16*c_1001_1^13 + 49/16*c_1001_1^12 + 83/16*c_1001_1^11 - 3/16*c_1001_1^10 - 121/16*c_1001_1^9 - 207/16*c_1001_1^8 + 5/16*c_1001_1^7 + 67/16*c_1001_1^6 + 185/16*c_1001_1^5 - 57/16*c_1001_1^4 + 81/16*c_1001_1^3 + 119/16*c_1001_1^2 + 59/4*c_1001_1 + 15/4, c_0110_10 + 9/16*c_1001_1^13 + 29/16*c_1001_1^12 + 49/16*c_1001_1^11 - 3/16*c_1001_1^10 - 71/16*c_1001_1^9 - 123/16*c_1001_1^8 + 7/16*c_1001_1^7 + 35/16*c_1001_1^6 + 111/16*c_1001_1^5 - 45/16*c_1001_1^4 + 59/16*c_1001_1^3 + 63/16*c_1001_1^2 + 35/4*c_1001_1 + 7/4, c_0110_7 + 1/32*c_1001_1^13 + 3/32*c_1001_1^12 + 1/32*c_1001_1^11 - 13/32*c_1001_1^10 - 23/32*c_1001_1^9 - 5/32*c_1001_1^8 + 31/32*c_1001_1^7 + 29/32*c_1001_1^6 - 1/32*c_1001_1^5 - 19/32*c_1001_1^4 - 5/32*c_1001_1^3 + 17/32*c_1001_1^2 - 5/8*c_1001_1 - 11/8, c_1001_1^14 + 4*c_1001_1^13 + 8*c_1001_1^12 + 4*c_1001_1^11 - 8*c_1001_1^10 - 20*c_1001_1^9 - 10*c_1001_1^8 + 4*c_1001_1^7 + 16*c_1001_1^6 + 4*c_1001_1^5 + 4*c_1001_1^4 + 12*c_1001_1^3 + 25*c_1001_1^2 + 16*c_1001_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB