Magma V2.19-8 Tue Aug 20 2013 23:45:32 on localhost [Seed = 3499537680] Type ? for help. Type -D to quit. Loading file "K13n3516__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3516 geometric_solution 10.62859796 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 1 2 0132 0132 0213 0213 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 -1 1 0 0 0 0 0 0 0 0 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769375061684 0.706853829882 0 0 4 3 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 1 -1 0 0 0 0 0 5 0 0 -5 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417171382346 1.278609293000 5 0 6 0 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.769375061684 0.706853829882 5 4 1 7 1302 0132 0132 0132 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 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.402298947254 1.267296205425 8 3 9 1 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210190589258 0.702383198853 2 3 8 10 0132 2031 0321 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 0 -1 1 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 0.632871717219 0.662500740467 9 8 11 2 1230 0321 0132 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394206868953 0.246693627979 11 10 3 9 1230 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462612019704 0.517881507706 4 11 5 6 0132 0213 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 0.455726768855 0.417559675144 10 6 7 4 0213 3012 0132 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 0.567484449209 0.940424055426 9 11 5 7 0213 1023 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 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 -0.477149825483 0.876745645821 10 7 8 6 1023 3012 0213 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 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 0.028465477065 0.964471446700 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0011_9'], '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' : d['1'], 's_2_6' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_7']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1001_2'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_2'], 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : d['1'], 's_3_8' : d['1'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_7'], '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_0101_6'], 'c_0110_10' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_9']})} 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_10, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_6, c_0101_7, c_1001_0, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 39680224/223077*c_1100_1^11 + 30001218/371795*c_1100_1^10 - 98024678/48495*c_1100_1^9 + 16937711/16165*c_1100_1^8 - 1595997691/371795*c_1100_1^7 + 1320793861/371795*c_1100_1^6 + 1333299393/371795*c_1100_1^5 + 221806930/74359*c_1100_1^4 - 1274115341/1115385*c_1100_1^3 + 762857206/371795*c_1100_1^2 + 3080354596/1115385*c_1100_1 + 364007282/371795, c_0011_0 - 1, c_0011_10 + 53/115*c_1100_1^11 - 27/115*c_1100_1^10 + 28/5*c_1100_1^9 - 14/5*c_1100_1^8 + 1788/115*c_1100_1^7 - 841/115*c_1100_1^6 + 369/115*c_1100_1^5 - 17/115*c_1100_1^4 + 158/23*c_1100_1^3 - 87/23*c_1100_1^2 - 32/115*c_1100_1 + 26/23, c_0011_3 - 3/115*c_1100_1^11 - 4/23*c_1100_1^10 - 1/5*c_1100_1^9 - 11/5*c_1100_1^8 + 13/23*c_1100_1^7 - 801/115*c_1100_1^6 + 476/115*c_1100_1^5 - 522/115*c_1100_1^4 + 197/115*c_1100_1^3 - 427/115*c_1100_1^2 + 224/115*c_1100_1 - 63/115, c_0011_6 - 4/23*c_1100_1^11 + 1/5*c_1100_1^10 - 11/5*c_1100_1^9 + 12/5*c_1100_1^8 - 801/115*c_1100_1^7 + 32/5*c_1100_1^6 - 522/115*c_1100_1^5 + 2/5*c_1100_1^4 - 427/115*c_1100_1^3 + 2*c_1100_1^2 - 63/115*c_1100_1 - 2/5, c_0011_7 - 6/115*c_1100_1^10 - 3/5*c_1100_1^8 - 146/115*c_1100_1^6 + 34/23*c_1100_1^4 + 72/115*c_1100_1^2 - c_1100_1 + 16/23, c_0011_9 + 2/115*c_1100_1^10 + 1/5*c_1100_1^8 + 41/115*c_1100_1^6 - 141/115*c_1100_1^4 - 162/115*c_1100_1^2 + 4/115, c_0101_1 - 4/115*c_1100_1^10 - 2/5*c_1100_1^8 - 21/23*c_1100_1^6 + 29/115*c_1100_1^4 - 41/23*c_1100_1^2 + 84/115, c_0101_6 - 4/23*c_1100_1^11 - 11/5*c_1100_1^9 - 801/115*c_1100_1^7 - 522/115*c_1100_1^5 - 427/115*c_1100_1^3 - 63/115*c_1100_1, c_0101_7 + 4/23*c_1100_1^11 + 11/5*c_1100_1^9 + 801/115*c_1100_1^7 + 522/115*c_1100_1^5 + 427/115*c_1100_1^3 + 63/115*c_1100_1, c_1001_0 - 31/115*c_1100_1^11 - 16/5*c_1100_1^9 - 946/115*c_1100_1^7 + 12/115*c_1100_1^5 - 105/23*c_1100_1^3 + 214/115*c_1100_1, c_1001_2 - c_1100_1, c_1100_1^12 + 12*c_1100_1^10 + 32*c_1100_1^8 + 3*c_1100_1^6 + 16*c_1100_1^4 - 4*c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.830 Total time: 1.040 seconds, Total memory usage: 32.09MB