Magma V2.19-8 Tue Aug 20 2013 23:55:14 on localhost [Seed = 459109195] Type ? for help. Type -D to quit. Loading file "L13n9877__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9877 geometric_solution 11.56469352 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 2 2 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 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 0.415374265473 1.145303545799 0 5 3 6 0132 0132 0321 0132 2 2 2 2 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 0 0 0 0 0 0 0 -2 2 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 0.313619912398 0.591007491628 7 0 3 8 0132 0132 2310 0132 2 2 2 2 0 1 -1 0 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 2 -2 0 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 0.656688886380 0.844378968814 9 2 1 0 0132 3201 0321 0132 2 2 2 2 0 -1 1 0 0 0 0 0 -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 -1 2 -1 0 0 0 0 -2 2 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300747079547 0.425728314363 5 8 0 5 2310 3120 0132 0213 2 2 1 2 0 1 -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 1 -1 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206251008786 1.058618662123 10 1 4 4 0132 0132 3201 0213 2 1 2 2 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 -1 0 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 0.822688520867 0.910081564808 9 9 1 7 2103 1302 0132 2103 2 2 0 2 0 1 -1 0 -1 0 1 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 2 -2 0 -2 0 2 0 0 -2 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415374265473 1.145303545799 2 11 11 6 0132 0132 0321 2103 0 2 2 2 0 -1 0 1 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 1 1 -2 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 0.765028670011 0.699816243504 10 4 2 10 2310 3120 0132 0213 2 2 1 2 0 0 0 0 1 0 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 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 0.751995352445 1.225626480221 3 11 6 6 0132 0321 2103 2031 0 2 2 2 0 1 0 -1 0 0 1 -1 -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 -2 0 2 0 0 2 -2 -2 0 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415374265473 1.145303545799 5 11 8 8 0132 1023 3201 0213 2 1 2 2 0 0 0 0 0 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 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 0.636305610200 0.592760943798 10 7 7 9 1023 0132 0321 0321 0 2 2 2 0 1 0 -1 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 -1 -1 2 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 0.765028670011 0.699816243504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_1001_0']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(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' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_1001_1'], 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : d['c_0011_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_6']), 'c_1010_6' : d['c_0110_6'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_1001_0']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : 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' : d['1'], 's_1_4' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0110_10' : d['c_0101_10'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3290165669642653/8397395932297064*c_1001_1^6 + 206026422252086757/4198697966148532*c_1001_1^5 - 461799948103156885/8397395932297064*c_1001_1^4 - 415003361128685617/4198697966148532*c_1001_1^3 + 49629547025675773/1049674491537133*c_1001_1^2 + 12176906808569759/381699815104412*c_1001_1 - 169153003814512253/8397395932297064, c_0011_0 - 1, c_0011_3 - 351341/28120166*c_1001_1^6 - 22237637/14060083*c_1001_1^5 - 11384795/28120166*c_1001_1^4 - 12060037/28120166*c_1001_1^3 + 7646617/28120166*c_1001_1^2 + 5972508/14060083*c_1001_1 + 6308858/14060083, c_0011_4 - 1, c_0011_6 - 1, c_0101_0 + 351341/28120166*c_1001_1^6 + 22237637/14060083*c_1001_1^5 + 11384795/28120166*c_1001_1^4 + 12060037/28120166*c_1001_1^3 - 7646617/28120166*c_1001_1^2 + 8087575/14060083*c_1001_1 + 7751225/14060083, c_0101_1 - 1107553/14060083*c_1001_1^6 - 282100087/28120166*c_1001_1^5 - 142538354/14060083*c_1001_1^4 + 46505299/28120166*c_1001_1^3 + 147129135/28120166*c_1001_1^2 + 39969085/28120166*c_1001_1 - 20532224/14060083, c_0101_10 - 1493141/14060083*c_1001_1^6 - 380389325/28120166*c_1001_1^5 - 197481415/14060083*c_1001_1^4 - 40364039/28120166*c_1001_1^3 + 165664201/28120166*c_1001_1^2 + 44323381/28120166*c_1001_1 - 30656700/14060083, c_0101_11 - 2566447/28120166*c_1001_1^6 - 326575361/28120166*c_1001_1^5 - 296461503/28120166*c_1001_1^4 + 17222631/14060083*c_1001_1^3 + 77387876/14060083*c_1001_1^2 + 23793935/28120166*c_1001_1 - 14223366/14060083, c_0101_2 + 1795271/28120166*c_1001_1^6 + 228286123/28120166*c_1001_1^5 + 186575381/28120166*c_1001_1^4 - 60657300/14060083*c_1001_1^3 - 68120343/14060083*c_1001_1^2 + 8680527/28120166*c_1001_1 + 32219056/14060083, c_0110_6 - 3051265/56240332*c_1001_1^6 - 193850361/28120166*c_1001_1^5 - 281586729/56240332*c_1001_1^4 - 12931243/14060083*c_1001_1^3 + 11396946/14060083*c_1001_1^2 + 10105564/14060083*c_1001_1 - 22472575/56240332, c_1001_0 - 575317/28120166*c_1001_1^6 - 73587037/28120166*c_1001_1^5 - 57140531/14060083*c_1001_1^4 + 16276331/28120166*c_1001_1^3 + 32485823/14060083*c_1001_1^2 - 1095788/14060083*c_1001_1 - 12648525/14060083, c_1001_1^7 + 128*c_1001_1^6 + 211*c_1001_1^5 + 48*c_1001_1^4 - 104*c_1001_1^3 - 66*c_1001_1^2 + 19*c_1001_1 + 22 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB