Magma V2.19-8 Tue Aug 20 2013 23:38:30 on localhost [Seed = 2665020064] Type ? for help. Type -D to quit. Loading file "K14n7322__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n7322 geometric_solution 8.36973427 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 -6 0 6 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.150648668137 0.871373729261 0 5 3 6 0132 0132 0213 0132 0 0 0 0 0 0 0 0 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 6 0 -6 0 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201806711542 0.424627914898 7 0 5 8 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.658283293713 0.666405824998 9 1 7 0 0132 0213 2031 0132 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 0 0 0 6 0 0 -6 0 6 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201806711542 0.424627914898 6 5 0 7 0132 2031 0132 2031 0 0 0 0 0 0 0 0 1 0 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 1 -1 0 5 0 0 -5 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645693284352 1.195340004299 4 1 8 2 1302 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.086991288671 1.921090643682 4 9 1 8 0132 1302 0132 0321 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 -1 0 1 -5 0 0 5 0 0 0 0 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.283024860132 0.715225230201 2 4 9 3 0132 1302 1023 1302 0 0 0 0 0 1 -1 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 5 -5 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.392276997472 0.406388109387 9 6 2 5 1023 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311601319009 1.046700994292 3 8 7 6 0132 1023 1023 2031 0 0 0 0 0 0 0 0 -1 0 1 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 -6 0 5 1 -1 0 0 1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553741952262 0.435245199280 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_8' : d['c_0110_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_1010_7']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_1001_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_1010_7']), 'c_1100_3' : negation(d['c_1010_7']), 'c_1100_2' : d['c_0110_5'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0011_3'], '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_0'], 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_0110_5, c_1001_0, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 150859/30300*c_1001_0^11 + 1254661/30300*c_1001_0^10 + 3727379/30300*c_1001_0^9 + 1839389/15150*c_1001_0^8 - 261911/2525*c_1001_0^7 - 2502581/10100*c_1001_0^6 + 135751/15150*c_1001_0^5 + 5568077/30300*c_1001_0^4 + 209293/15150*c_1001_0^3 - 327463/7575*c_1001_0^2 + 47701/30300*c_1001_0 - 10259/5050, c_0011_0 - 1, c_0011_3 - c_1001_0, c_0011_4 - c_1001_0^2 - c_1001_0 + 1, c_0101_0 - 1/4*c_1001_0^10 - 7/4*c_1001_0^9 - 15/4*c_1001_0^8 + 19/2*c_1001_0^6 + 29/4*c_1001_0^5 - 13/2*c_1001_0^4 - 25/4*c_1001_0^3 + 3/2*c_1001_0^2 + 2*c_1001_0 + 1/4, c_0101_2 - 1/4*c_1001_0^11 - 5/2*c_1001_0^10 - 39/4*c_1001_0^9 - 67/4*c_1001_0^8 - 19/4*c_1001_0^7 + 23*c_1001_0^6 + 43/2*c_1001_0^5 - 45/4*c_1001_0^4 - 59/4*c_1001_0^3 + 9/4*c_1001_0^2 + 3/2*c_1001_0 + 1/2, c_0101_3 - 1/4*c_1001_0^11 - 7/4*c_1001_0^10 - 7/2*c_1001_0^9 + 3/2*c_1001_0^8 + 47/4*c_1001_0^7 + 5*c_1001_0^6 - 53/4*c_1001_0^5 - 19/4*c_1001_0^4 + 17/2*c_1001_0^3 + 1/4*c_1001_0^2 - c_1001_0 + 1/4, c_0101_7 - 1/4*c_1001_0^10 - 2*c_1001_0^9 - 23/4*c_1001_0^8 - 23/4*c_1001_0^7 + 13/4*c_1001_0^6 + 8*c_1001_0^5 - 3/2*c_1001_0^4 - 23/4*c_1001_0^3 + 1/4*c_1001_0^2 - 1/4*c_1001_0 - 1/2, c_0110_5 + 1/4*c_1001_0^11 + 7/4*c_1001_0^10 + 13/4*c_1001_0^9 - 7/2*c_1001_0^8 - 35/2*c_1001_0^7 - 43/4*c_1001_0^6 + 17*c_1001_0^5 + 59/4*c_1001_0^4 - 8*c_1001_0^3 - 6*c_1001_0^2 + 3/4*c_1001_0 + 1/2, c_1001_0^12 + 8*c_1001_0^11 + 22*c_1001_0^10 + 16*c_1001_0^9 - 30*c_1001_0^8 - 44*c_1001_0^7 + 20*c_1001_0^6 + 40*c_1001_0^5 - 9*c_1001_0^4 - 12*c_1001_0^3 + 2*c_1001_0^2 + 1, c_1010_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB