Magma V2.19-8 Wed Aug 21 2013 00:01:59 on localhost [Seed = 2362107183] Type ? for help. Type -D to quit. Loading file "K13n1675__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1675 geometric_solution 12.04341507 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 -1 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 -1 -7 8 0 0 -7 7 1 -1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488740705239 1.034338059667 0 4 6 5 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543463426883 0.240990356977 0 0 8 7 3012 0132 0132 0132 0 0 0 0 0 0 0 0 -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 1 -1 0 -8 0 0 8 -7 7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384047053911 0.776972641151 9 10 11 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 0 -7 7 0 0 -7 7 7 0 0 -7 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498329649740 0.791525529867 10 1 11 12 0213 0132 3012 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 -7 0 7 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603368837821 0.475173218009 9 12 1 8 2103 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.381371289352 0.471456829555 10 8 7 1 2310 3201 2310 0132 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 -8 0 8 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 0.572522178833 0.939335099049 11 6 2 9 2031 3201 0132 0213 0 0 0 0 0 0 0 0 0 0 -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 -8 8 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.100664111443 0.917515619373 5 12 6 2 3201 3120 2310 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313814815774 1.222668246309 3 10 5 7 0132 1302 2103 0213 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 8 0 0 -8 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608366875528 0.886836314686 4 3 6 9 0213 0132 3201 2031 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 7 0 0 -7 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313768331972 0.466439192306 12 4 7 3 3012 1230 1302 0132 0 0 0 0 0 -1 0 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 -7 0 7 1 0 -8 7 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175829542417 0.733260517122 5 8 4 11 1302 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.770570149867 0.608427542652 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 's_3_11' : 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_7']), 'c_0101_10' : d['c_0011_0'], '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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : 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' : d['c_0011_7'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0011_6'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : d['c_0101_3'], '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_10'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0101_3']), '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_5, c_0011_6, c_0011_7, c_0101_0, c_0101_3, c_0101_6, c_0101_7, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 24714260/14611*c_1001_1^17 + 49640575/116888*c_1001_1^16 + 3549339943/935104*c_1001_1^15 - 226614683/98432*c_1001_1^14 - 645314501/116888*c_1001_1^13 - 13813702835/1870208*c_1001_1^12 + 9363192929/935104*c_1001_1^11 + 16137784287/1870208*c_1001_1^10 - 3935830571/467552*c_1001_1^9 - 27182189299/1870208*c_1001_1^8 - 12485022623/935104*c_1001_1^7 + 24273751221/1870208*c_1001_1^6 + 712857147/233776*c_1001_1^5 + 6636645359/1870208*c_1001_1^4 - 8698279977/935104*c_1001_1^3 - 4806696147/1870208*c_1001_1^2 - 871025623/467552*c_1001_1 + 595599239/1870208, c_0011_0 - 1, c_0011_10 + 49/8*c_1001_1^17 - 371/64*c_1001_1^16 - 1747/128*c_1001_1^15 + 18*c_1001_1^14 + 2637/128*c_1001_1^13 + 177/64*c_1001_1^12 - 7311/128*c_1001_1^11 + 15/4*c_1001_1^10 + 6337/128*c_1001_1^9 + 2915/64*c_1001_1^8 - 4041/128*c_1001_1^7 - 341/8*c_1001_1^6 - 393/128*c_1001_1^5 + 1723/64*c_1001_1^4 + 1707/128*c_1001_1^3 - 25/8*c_1001_1^2 - 661/128*c_1001_1 - 23/16, c_0011_11 - 5/8*c_1001_1^17 + 71/64*c_1001_1^16 - 179/128*c_1001_1^15 - 237/128*c_1001_1^14 + 661/128*c_1001_1^13 - 429/128*c_1001_1^12 - 439/128*c_1001_1^11 - 1137/128*c_1001_1^10 + 1681/128*c_1001_1^9 + 611/128*c_1001_1^8 - 1177/128*c_1001_1^7 - 2327/128*c_1001_1^6 - 65/128*c_1001_1^5 + 1225/128*c_1001_1^4 + 771/128*c_1001_1^3 - 587/128*c_1001_1^2 - 533/128*c_1001_1 - 205/128, c_0011_12 + 1/2*c_1001_1^17 + 13/16*c_1001_1^16 - 55/32*c_1001_1^15 - 29/16*c_1001_1^14 + 63/16*c_1001_1^13 + 413/64*c_1001_1^12 - 27/16*c_1001_1^11 - 49/4*c_1001_1^10 + 5/32*c_1001_1^9 + 997/64*c_1001_1^8 + 393/32*c_1001_1^7 - 137/16*c_1001_1^6 - 95/8*c_1001_1^5 + 79/64*c_1001_1^4 + 65/8*c_1001_1^3 + 29/8*c_1001_1^2 - 55/32*c_1001_1 - 69/64, c_0011_5 + 1/8*c_1001_1^16 - 3/64*c_1001_1^15 - 43/128*c_1001_1^14 + 5/32*c_1001_1^13 + 89/128*c_1001_1^12 + 29/64*c_1001_1^11 - 183/128*c_1001_1^10 - 25/32*c_1001_1^9 + 189/128*c_1001_1^8 + 143/64*c_1001_1^7 - 113/128*c_1001_1^6 - 77/32*c_1001_1^5 + 27/128*c_1001_1^4 + 151/64*c_1001_1^3 + 19/128*c_1001_1^2 - 31/32*c_1001_1 - 129/128, c_0011_6 + 29/8*c_1001_1^17 + 89/64*c_1001_1^16 - 1283/128*c_1001_1^15 - 89/64*c_1001_1^14 + 2583/128*c_1001_1^13 + 1517/64*c_1001_1^12 - 2803/128*c_1001_1^11 - 2481/64*c_1001_1^10 + 1871/128*c_1001_1^9 + 3959/64*c_1001_1^8 + 4287/128*c_1001_1^7 - 1923/64*c_1001_1^6 - 4467/128*c_1001_1^5 + 215/64*c_1001_1^4 + 3191/128*c_1001_1^3 + 845/64*c_1001_1^2 + 125/128*c_1001_1 - 21/16, c_0011_7 - 49/8*c_1001_1^17 + 371/64*c_1001_1^16 + 1747/128*c_1001_1^15 - 18*c_1001_1^14 - 2637/128*c_1001_1^13 - 177/64*c_1001_1^12 + 7311/128*c_1001_1^11 - 15/4*c_1001_1^10 - 6337/128*c_1001_1^9 - 2915/64*c_1001_1^8 + 4041/128*c_1001_1^7 + 341/8*c_1001_1^6 + 393/128*c_1001_1^5 - 1723/64*c_1001_1^4 - 1707/128*c_1001_1^3 + 25/8*c_1001_1^2 + 661/128*c_1001_1 + 23/16, c_0101_0 - 21/8*c_1001_1^17 - 369/64*c_1001_1^16 + 1451/128*c_1001_1^15 + 637/64*c_1001_1^14 - 3507/128*c_1001_1^13 - 1807/64*c_1001_1^12 + 1191/128*c_1001_1^11 + 3877/64*c_1001_1^10 - 1743/128*c_1001_1^9 - 4281/64*c_1001_1^8 - 6815/128*c_1001_1^7 + 1663/64*c_1001_1^6 + 4935/128*c_1001_1^5 + 227/64*c_1001_1^4 - 3187/128*c_1001_1^3 - 993/64*c_1001_1^2 - 565/128*c_1001_1 + 11/32, c_0101_3 + 5/8*c_1001_1^17 - 71/64*c_1001_1^16 + 179/128*c_1001_1^15 + 237/128*c_1001_1^14 - 661/128*c_1001_1^13 + 429/128*c_1001_1^12 + 439/128*c_1001_1^11 + 1137/128*c_1001_1^10 - 1681/128*c_1001_1^9 - 611/128*c_1001_1^8 + 1177/128*c_1001_1^7 + 2327/128*c_1001_1^6 + 65/128*c_1001_1^5 - 1225/128*c_1001_1^4 - 771/128*c_1001_1^3 + 587/128*c_1001_1^2 + 533/128*c_1001_1 + 205/128, c_0101_6 - 5/8*c_1001_1^17 + 1007/64*c_1001_1^16 - 1617/128*c_1001_1^15 - 105/4*c_1001_1^14 + 4207/128*c_1001_1^13 + 2097/64*c_1001_1^12 + 5343/128*c_1001_1^11 - 1883/16*c_1001_1^10 + 1351/128*c_1001_1^9 + 2931/64*c_1001_1^8 + 16293/128*c_1001_1^7 - 13*c_1001_1^6 - 6507/128*c_1001_1^5 - 2173/64*c_1001_1^4 + 3405/128*c_1001_1^3 + 511/16*c_1001_1^2 + 2181/128*c_1001_1 + 21/32, c_0101_7 + 19/4*c_1001_1^17 - 545/32*c_1001_1^16 + 61/64*c_1001_1^15 + 2283/64*c_1001_1^14 - 995/64*c_1001_1^13 - 26*c_1001_1^12 - 4367/64*c_1001_1^11 + 6265/64*c_1001_1^10 + 1737/64*c_1001_1^9 - 559/32*c_1001_1^8 - 7401/64*c_1001_1^7 - 1075/64*c_1001_1^6 + 2727/64*c_1001_1^5 + 637/16*c_1001_1^4 - 837/64*c_1001_1^3 - 1617/64*c_1001_1^2 - 957/64*c_1001_1 - 29/16, c_0101_8 + 15/4*c_1001_1^17 - 149/32*c_1001_1^16 - 439/64*c_1001_1^15 + 763/64*c_1001_1^14 + 653/64*c_1001_1^13 + 43/32*c_1001_1^12 - 2543/64*c_1001_1^11 + 755/64*c_1001_1^10 + 1837/64*c_1001_1^9 + 885/32*c_1001_1^8 - 1965/64*c_1001_1^7 - 1631/64*c_1001_1^6 + 239/64*c_1001_1^5 + 685/32*c_1001_1^4 + 403/64*c_1001_1^3 - 335/64*c_1001_1^2 - 281/64*c_1001_1 - 3/4, c_1001_1^18 - 3/8*c_1001_1^17 - 27/16*c_1001_1^16 + 7/8*c_1001_1^15 + 23/8*c_1001_1^14 + 39/8*c_1001_1^13 - 47/8*c_1001_1^12 - 21/8*c_1001_1^11 + 3/8*c_1001_1^10 + 93/8*c_1001_1^9 + 19/4*c_1001_1^8 - 11/8*c_1001_1^7 - 43/8*c_1001_1^6 - 3/8*c_1001_1^5 + 23/8*c_1001_1^4 + 25/8*c_1001_1^3 + 9/8*c_1001_1^2 + 1/4*c_1001_1 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.430 Total time: 4.629 seconds, Total memory usage: 83.31MB