Magma V2.19-8 Tue Aug 20 2013 23:58:17 on localhost [Seed = 1460748270] Type ? for help. Type -D to quit. Loading file "K13n1155__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1155 geometric_solution 11.65522544 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 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 -1 0 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 0.770769787641 0.579292841635 0 0 5 4 0132 0321 0132 0132 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 11 -10 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 0.170917759178 0.623119140029 6 0 3 7 0132 0132 0321 0132 0 0 0 0 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 0 -1 0 0 0 0 11 0 0 -11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574205458949 1.076034991637 8 9 2 0 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617261429196 0.287657505314 8 5 1 10 2103 0132 0132 0132 0 0 0 0 0 0 -1 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 0 0 0 0 10 -10 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476971672039 1.455480065428 6 4 7 1 1230 0132 2103 0132 0 0 0 0 0 0 -1 1 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 11 -11 0 0 0 0 -1 0 0 1 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.252168460846 0.935074582628 2 5 11 11 0132 3012 0132 2310 0 0 0 0 0 0 -1 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 0 10 -10 0 0 -1 1 -1 0 0 1 -11 1 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.048926081164 0.783300448958 5 9 2 10 2103 0213 0132 2103 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 -11 11 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.386004073102 0.723354128907 3 11 4 12 0132 0132 2103 0132 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 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038924742189 0.669416023836 12 3 7 10 3012 0132 0213 2310 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 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607650120877 0.328983733277 9 12 4 7 3201 0132 0132 2103 0 0 0 0 0 1 -1 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 -10 10 0 0 0 0 0 0 -1 0 1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690871472970 0.579292841635 6 8 12 6 3201 0132 2103 0132 0 0 0 0 0 -1 0 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 10 0 -10 -1 0 0 1 10 0 0 -10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595559520320 1.499719716994 11 10 8 9 2103 0132 0132 1230 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 10 -10 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 0.616127073058 1.154594195462 ==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_0011_7'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : negation(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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0110_7']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0110_10']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0110_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_10']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0101_11'])})} 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_4, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0110_10, c_0110_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 101809/151249*c_1001_1^5 - 315610/151249*c_1001_1^4 + 83319/151249*c_1001_1^3 + 60910/151249*c_1001_1^2 - 103809/151249*c_1001_1 + 195539/151249, c_0011_0 - 1, c_0011_10 - c_1001_1, c_0011_11 + c_1001_1^4 - 2*c_1001_1^3 - c_1001_1^2 - c_1001_1, c_0011_4 + c_1001_1^5 - 3*c_1001_1^4 + c_1001_1^3 - c_1001_1 + 1, c_0011_7 - 1, c_0101_0 - c_1001_1^4 + 2*c_1001_1^3 + c_1001_1^2 + 2*c_1001_1, c_0101_10 - c_1001_1 - 1, c_0101_11 + c_1001_1^5 - 2*c_1001_1^4 - c_1001_1^3 - 2*c_1001_1^2 - c_1001_1, c_0101_5 + c_1001_1^5 - 2*c_1001_1^4 - 2*c_1001_1^3 - 2*c_1001_1 + 1, c_0110_10 + c_1001_1 - 1, c_0110_7 - c_1001_1^5 + 2*c_1001_1^4 + c_1001_1^3 + 2*c_1001_1^2 + c_1001_1, c_1001_0 - c_1001_1^5 + 2*c_1001_1^4 + c_1001_1^3 + 2*c_1001_1^2 + c_1001_1, c_1001_1^6 - 2*c_1001_1^5 - c_1001_1^4 - 2*c_1001_1^3 - 2*c_1001_1^2 - 1 ], 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_4, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0110_10, c_0110_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 62639732979709/493158336*c_1001_1^19 + 182566838718599/493158336*c_1001_1^18 - 325337149763339/493158336*c_1001_1^17 - 43822700603955/164386112*c_1001_1^16 + 19133459625745/15411198*c_1001_1^15 - 110121492320811/41096528*c_1001_1^14 + 277525408330463/82193056*c_1001_1^13 - 51318375748149/41096528*c_1001_1^12 - 204812451155645/61644792*c_1001_1^11 + 893200056359229/82193056*c_1001_1^10 - 8211537899766589/493158336*c_1001_1^9 + 9979700389225133/493158336*c_1001_1^8 - 5026613422873417/246579168*c_1001_1^7 + 1381410189816409/82193056*c_1001_1^6 - 6238095033847057/493158336*c_1001_1^5 + 1264043491065745/164386112*c_1001_1^4 - 169857654462399/41096528*c_1001_1^3 + 239203069478465/123289584*c_1001_1^2 - 310100687803913/493158336*c_1001_1 + 106786748723219/493158336, c_0011_0 - 1, c_0011_10 + 5/2*c_1001_1^19 - 3*c_1001_1^18 + 8*c_1001_1^17 + 33/2*c_1001_1^16 + 13/2*c_1001_1^15 + 58*c_1001_1^14 + 18*c_1001_1^13 + 49*c_1001_1^12 + 94*c_1001_1^11 - 137/2*c_1001_1^10 + 351/2*c_1001_1^9 - 363/2*c_1001_1^8 + 345/2*c_1001_1^7 - 191*c_1001_1^6 + 195/2*c_1001_1^5 - 223/2*c_1001_1^4 + 61/2*c_1001_1^3 - 36*c_1001_1^2 + 5*c_1001_1 - 5, c_0011_11 - 29/8*c_1001_1^19 + 47/8*c_1001_1^18 - 87/8*c_1001_1^17 - 169/8*c_1001_1^16 + 8*c_1001_1^15 - 63*c_1001_1^14 + 97/4*c_1001_1^13 + c_1001_1^12 - 87*c_1001_1^11 + 815/4*c_1001_1^10 - 1773/8*c_1001_1^9 + 2389/8*c_1001_1^8 - 839/4*c_1001_1^7 + 727/4*c_1001_1^6 - 845/8*c_1001_1^5 + 319/8*c_1001_1^4 - 29*c_1001_1^3 - 7*c_1001_1^2 - 29/8*c_1001_1 - 29/8, c_0011_4 + 105/16*c_1001_1^19 - 175/16*c_1001_1^18 + 319/16*c_1001_1^17 + 633/16*c_1001_1^16 - 33/2*c_1001_1^15 + 459/4*c_1001_1^14 - 233/8*c_1001_1^13 + 67/4*c_1001_1^12 + 194*c_1001_1^11 - 2587/8*c_1001_1^10 + 6841/16*c_1001_1^9 - 7765/16*c_1001_1^8 + 3193/8*c_1001_1^7 - 2743/8*c_1001_1^6 + 3381/16*c_1001_1^5 - 2283/16*c_1001_1^4 + 247/4*c_1001_1^3 - 151/4*c_1001_1^2 + 133/16*c_1001_1 - 83/16, c_0011_7 - 5*c_1001_1^19 + 15/2*c_1001_1^18 - 17*c_1001_1^17 - 28*c_1001_1^16 - 3/2*c_1001_1^15 - 213/2*c_1001_1^14 + 12*c_1001_1^13 - 68*c_1001_1^12 - 149*c_1001_1^11 + 216*c_1001_1^10 - 773/2*c_1001_1^9 + 929/2*c_1001_1^8 - 847/2*c_1001_1^7 + 815/2*c_1001_1^6 - 244*c_1001_1^5 + 385/2*c_1001_1^4 - 147/2*c_1001_1^3 + 101/2*c_1001_1^2 - 9*c_1001_1 + 6, c_0101_0 + 2*c_1001_1^19 - 3*c_1001_1^18 + 6*c_1001_1^17 + 12*c_1001_1^16 - 2*c_1001_1^15 + 37*c_1001_1^14 - 8*c_1001_1^13 + 6*c_1001_1^12 + 50*c_1001_1^11 - 104*c_1001_1^10 + 120*c_1001_1^9 - 165*c_1001_1^8 + 114*c_1001_1^7 - 111*c_1001_1^6 + 58*c_1001_1^5 - 29*c_1001_1^4 + 16*c_1001_1^3 + 5*c_1001_1^2 + 2*c_1001_1 + 3, c_0101_10 + 47/8*c_1001_1^19 - 49/8*c_1001_1^18 + 149/8*c_1001_1^17 + 315/8*c_1001_1^16 + 23*c_1001_1^15 + 145*c_1001_1^14 + 203/4*c_1001_1^13 + 121*c_1001_1^12 + 441/2*c_1001_1^11 - 649/4*c_1001_1^10 + 3215/8*c_1001_1^9 - 3459/8*c_1001_1^8 + 1437/4*c_1001_1^7 - 1655/4*c_1001_1^6 + 1375/8*c_1001_1^5 - 1685/8*c_1001_1^4 + 87/2*c_1001_1^3 - 113/2*c_1001_1^2 + 43/8*c_1001_1 - 49/8, c_0101_11 + 5/4*c_1001_1^19 - 9/4*c_1001_1^18 + 15/4*c_1001_1^17 + 31/4*c_1001_1^16 - 5*c_1001_1^15 + 41/2*c_1001_1^14 - 11/2*c_1001_1^13 + c_1001_1^12 + 43*c_1001_1^11 - 59*c_1001_1^10 + 337/4*c_1001_1^9 - 311/4*c_1001_1^8 + 141/2*c_1001_1^7 - 107/2*c_1001_1^6 + 137/4*c_1001_1^5 - 123/4*c_1001_1^4 + 19/2*c_1001_1^3 - 14*c_1001_1^2 + 5/4*c_1001_1 - 11/4, c_0101_5 - 21/8*c_1001_1^19 + 23/8*c_1001_1^18 - 63/8*c_1001_1^17 - 133/8*c_1001_1^16 - 8*c_1001_1^15 - 117/2*c_1001_1^14 - 27/4*c_1001_1^13 - 63/2*c_1001_1^12 - 70*c_1001_1^11 + 431/4*c_1001_1^10 - 1261/8*c_1001_1^9 + 1753/8*c_1001_1^8 - 603/4*c_1001_1^7 + 669/4*c_1001_1^6 - 589/8*c_1001_1^5 + 399/8*c_1001_1^4 - 19*c_1001_1^3 - c_1001_1^2 - 17/8*c_1001_1 - 21/8, c_0110_10 - 5/8*c_1001_1^19 + 23/8*c_1001_1^18 - 43/8*c_1001_1^17 + 19/8*c_1001_1^16 + 11*c_1001_1^15 - 37/2*c_1001_1^14 + 139/4*c_1001_1^13 - 45/2*c_1001_1^12 - 39/2*c_1001_1^11 + 303/4*c_1001_1^10 - 1253/8*c_1001_1^9 + 1453/8*c_1001_1^8 - 837/4*c_1001_1^7 + 673/4*c_1001_1^6 - 1001/8*c_1001_1^5 + 671/8*c_1001_1^4 - 34*c_1001_1^3 + 23*c_1001_1^2 - 21/8*c_1001_1 + 23/8, c_0110_7 + c_1001_1^19 - 2*c_1001_1^18 + 4*c_1001_1^17 + 4*c_1001_1^16 - 3*c_1001_1^15 + 20*c_1001_1^14 - 14*c_1001_1^13 + 10*c_1001_1^12 + 20*c_1001_1^11 - 62*c_1001_1^10 + 91*c_1001_1^9 - 128*c_1001_1^8 + 121*c_1001_1^7 - 116*c_1001_1^6 + 87*c_1001_1^5 - 58*c_1001_1^4 + 37*c_1001_1^3 - 16*c_1001_1^2 + 8*c_1001_1 - 2, c_1001_0 + c_1001_1^19 - 2*c_1001_1^18 + 4*c_1001_1^17 + 4*c_1001_1^16 - 3*c_1001_1^15 + 20*c_1001_1^14 - 14*c_1001_1^13 + 10*c_1001_1^12 + 20*c_1001_1^11 - 62*c_1001_1^10 + 91*c_1001_1^9 - 128*c_1001_1^8 + 121*c_1001_1^7 - 116*c_1001_1^6 + 87*c_1001_1^5 - 58*c_1001_1^4 + 37*c_1001_1^3 - 16*c_1001_1^2 + 8*c_1001_1 - 2, c_1001_1^20 - 2*c_1001_1^19 + 4*c_1001_1^18 + 4*c_1001_1^17 - 3*c_1001_1^16 + 20*c_1001_1^15 - 14*c_1001_1^14 + 10*c_1001_1^13 + 20*c_1001_1^12 - 62*c_1001_1^11 + 91*c_1001_1^10 - 128*c_1001_1^9 + 121*c_1001_1^8 - 116*c_1001_1^7 + 87*c_1001_1^6 - 58*c_1001_1^5 + 37*c_1001_1^4 - 16*c_1001_1^3 + 9*c_1001_1^2 - 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.530 Total time: 1.730 seconds, Total memory usage: 32.09MB