Magma V2.19-8 Tue Aug 20 2013 17:56:51 on localhost [Seed = 543265853] Type ? for help. Type -D to quit. Loading file "10_64__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_64 geometric_solution 10.86809271 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144937809042 0.975092281634 0 5 5 3 0132 0132 1302 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 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987536707323 0.862269665942 6 0 8 7 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 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696711360701 0.425567369253 4 9 1 0 3012 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 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 1.016759299191 1.159487760545 6 10 0 3 1302 0132 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 0.115859885753 0.851522946729 1 1 10 11 2031 0132 3120 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 -1 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 0.425429085024 0.501687752205 2 4 11 9 0132 2031 1230 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.402784089841 0.598731572941 11 11 2 8 1230 2031 0132 1230 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 -1 1 0 0 0 0 -5 4 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693457068329 0.890552888717 7 10 9 2 3012 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 0 0 0 -1 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 0.545977852325 0.557996352107 10 3 6 8 0213 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 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 0.836276810351 1.441226153080 9 4 5 8 0213 0132 3120 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 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 0.410585156789 1.146678490151 7 7 5 6 1302 3012 0132 3012 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 0 -1 0 0 0 0 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693457068329 0.890552888717 ==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_0101_3'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : negation(d['c_0110_11']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : 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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_1100_9' : d['c_0101_2'], 'c_1100_8' : d['c_0101_2'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_0'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : d['c_0101_2'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0110_11']), 'c_1010_2' : negation(d['c_0110_11']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_1001_2'], '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'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_2'], '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_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_0110_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1091/2464*c_1001_2^11 + 467/352*c_1001_2^10 - 1357/1232*c_1001_2^9 - 22403/2464*c_1001_2^8 - 18231/2464*c_1001_2^7 + 43041/2464*c_1001_2^6 + 4755/154*c_1001_2^5 - 13411/2464*c_1001_2^4 - 14721/352*c_1001_2^3 - 12065/616*c_1001_2^2 + 2173/154*c_1001_2 + 797/77, c_0011_0 - 1, c_0011_10 + 1/8*c_1001_2^11 + 3/8*c_1001_2^10 - 1/4*c_1001_2^9 - 17/8*c_1001_2^8 - 9/8*c_1001_2^7 + 39/8*c_1001_2^6 + 11/2*c_1001_2^5 - 41/8*c_1001_2^4 - 73/8*c_1001_2^3 + 2*c_1001_2^2 + 6*c_1001_2, c_0011_11 + 1/8*c_1001_2^11 + 3/8*c_1001_2^10 - 1/4*c_1001_2^9 - 17/8*c_1001_2^8 - 9/8*c_1001_2^7 + 39/8*c_1001_2^6 + 11/2*c_1001_2^5 - 41/8*c_1001_2^4 - 73/8*c_1001_2^3 + c_1001_2^2 + 6*c_1001_2 + 1, c_0011_3 + 1/8*c_1001_2^11 - 1/8*c_1001_2^10 - 5/4*c_1001_2^9 - 5/8*c_1001_2^8 + 35/8*c_1001_2^7 + 39/8*c_1001_2^6 - 13/2*c_1001_2^5 - 93/8*c_1001_2^4 + 27/8*c_1001_2^3 + 12*c_1001_2^2 + 1/2*c_1001_2 - 5, c_0011_7 - 1, c_0101_0 + 1/8*c_1001_2^11 - 1/8*c_1001_2^10 - 5/4*c_1001_2^9 - 5/8*c_1001_2^8 + 35/8*c_1001_2^7 + 39/8*c_1001_2^6 - 13/2*c_1001_2^5 - 93/8*c_1001_2^4 + 27/8*c_1001_2^3 + 12*c_1001_2^2 + 1/2*c_1001_2 - 5, c_0101_2 - 1/4*c_1001_2^10 - 3/4*c_1001_2^9 + 1/2*c_1001_2^8 + 17/4*c_1001_2^7 + 9/4*c_1001_2^6 - 39/4*c_1001_2^5 - 11*c_1001_2^4 + 37/4*c_1001_2^3 + 65/4*c_1001_2^2 - 3*c_1001_2 - 9, c_0101_3 - 5/8*c_1001_2^11 - 13/8*c_1001_2^10 + c_1001_2^9 + 65/8*c_1001_2^8 + 35/8*c_1001_2^7 - 125/8*c_1001_2^6 - 71/4*c_1001_2^5 + 101/8*c_1001_2^4 + 179/8*c_1001_2^3 - 13/4*c_1001_2^2 - 11*c_1001_2 + 1, c_0101_5 + 1/2*c_1001_2^11 + 7/4*c_1001_2^10 + 1/4*c_1001_2^9 - 15/2*c_1001_2^8 - 35/4*c_1001_2^7 + 43/4*c_1001_2^6 + 97/4*c_1001_2^5 - c_1001_2^4 - 103/4*c_1001_2^3 - 35/4*c_1001_2^2 + 21/2*c_1001_2 + 4, c_0101_6 + 1/8*c_1001_2^11 + 1/8*c_1001_2^10 - c_1001_2^9 - 13/8*c_1001_2^8 + 25/8*c_1001_2^7 + 57/8*c_1001_2^6 - 13/4*c_1001_2^5 - 113/8*c_1001_2^4 - 7/8*c_1001_2^3 + 53/4*c_1001_2^2 + 3*c_1001_2 - 5, c_0110_11 + 3/8*c_1001_2^11 + 9/8*c_1001_2^10 - 1/4*c_1001_2^9 - 39/8*c_1001_2^8 - 35/8*c_1001_2^7 + 57/8*c_1001_2^6 + 13*c_1001_2^5 - 7/8*c_1001_2^4 - 107/8*c_1001_2^3 - 11/2*c_1001_2^2 + 9/2*c_1001_2 + 3, c_1001_2^12 + 3*c_1001_2^11 - 2*c_1001_2^10 - 17*c_1001_2^9 - 9*c_1001_2^8 + 39*c_1001_2^7 + 44*c_1001_2^6 - 41*c_1001_2^5 - 73*c_1001_2^4 + 16*c_1001_2^3 + 56*c_1001_2^2 - 16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_0110_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 863465/1927*c_1001_2^15 + 2849393/1927*c_1001_2^14 - 62351/1927*c_1001_2^13 - 11047640/1927*c_1001_2^12 + 8772428/1927*c_1001_2^11 + 20428606/1927*c_1001_2^10 - 29285391/1927*c_1001_2^9 - 20713124/1927*c_1001_2^8 + 50323535/1927*c_1001_2^7 + 4755534/1927*c_1001_2^6 - 55457465/1927*c_1001_2^5 + 7826106/1927*c_1001_2^4 + 34262180/1927*c_1001_2^3 - 6179186/1927*c_1001_2^2 - 8366200/1927*c_1001_2 + 1956791/1927, c_0011_0 - 1, c_0011_10 + 2431/1927*c_1001_2^15 - 7648/1927*c_1001_2^14 + 755/1927*c_1001_2^13 + 25179/1927*c_1001_2^12 - 18441/1927*c_1001_2^11 - 42986/1927*c_1001_2^10 + 57129/1927*c_1001_2^9 + 42392/1927*c_1001_2^8 - 86301/1927*c_1001_2^7 - 12592/1927*c_1001_2^6 + 87971/1927*c_1001_2^5 + 5817/1927*c_1001_2^4 - 38541/1927*c_1001_2^3 - 5574/1927*c_1001_2^2 + 4173/1927*c_1001_2 + 2441/1927, c_0011_11 + 3300/1927*c_1001_2^15 - 9945/1927*c_1001_2^14 - 983/1927*c_1001_2^13 + 36471/1927*c_1001_2^12 - 21428/1927*c_1001_2^11 - 67311/1927*c_1001_2^10 + 1608/41*c_1001_2^9 + 75997/1927*c_1001_2^8 - 124196/1927*c_1001_2^7 - 37865/1927*c_1001_2^6 + 135603/1927*c_1001_2^5 + 22323/1927*c_1001_2^4 - 66408/1927*c_1001_2^3 - 12980/1927*c_1001_2^2 + 8226/1927*c_1001_2 + 2770/1927, c_0011_3 + 876/1927*c_1001_2^15 - 2918/1927*c_1001_2^14 + 462/1927*c_1001_2^13 + 9754/1927*c_1001_2^12 - 7830/1927*c_1001_2^11 - 17058/1927*c_1001_2^10 + 23759/1927*c_1001_2^9 + 16336/1927*c_1001_2^8 - 36444/1927*c_1001_2^7 - 5859/1927*c_1001_2^6 + 36625/1927*c_1001_2^5 + 1193/1927*c_1001_2^4 - 19056/1927*c_1001_2^3 - 5881/1927*c_1001_2^2 - 1/1927*c_1001_2 + 581/1927, c_0011_7 - 514/1927*c_1001_2^15 - 889/1927*c_1001_2^14 + 8162/1927*c_1001_2^13 - 7437/1927*c_1001_2^12 - 22095/1927*c_1001_2^11 + 32833/1927*c_1001_2^10 + 29108/1927*c_1001_2^9 - 76147/1927*c_1001_2^8 - 15150/1927*c_1001_2^7 + 100179/1927*c_1001_2^6 - 21846/1927*c_1001_2^5 - 94653/1927*c_1001_2^4 + 18855/1927*c_1001_2^3 + 41625/1927*c_1001_2^2 - 2136/1927*c_1001_2 - 2760/1927, c_0101_0 + 1644/1927*c_1001_2^15 - 6212/1927*c_1001_2^14 + 2780/1927*c_1001_2^13 + 21308/1927*c_1001_2^12 - 29558/1927*c_1001_2^11 - 25344/1927*c_1001_2^10 + 74065/1927*c_1001_2^9 + 1202/1927*c_1001_2^8 - 106011/1927*c_1001_2^7 + 52287/1927*c_1001_2^6 + 85726/1927*c_1001_2^5 - 69360/1927*c_1001_2^4 - 30887/1927*c_1001_2^3 + 34181/1927*c_1001_2^2 - 2750/1927*c_1001_2 - 2521/1927, c_0101_2 - 824/1927*c_1001_2^15 - 20/1927*c_1001_2^14 + 8167/1927*c_1001_2^13 - 9664/1927*c_1001_2^12 - 22102/1927*c_1001_2^11 + 37849/1927*c_1001_2^10 + 27656/1927*c_1001_2^9 - 84309/1927*c_1001_2^8 - 13340/1927*c_1001_2^7 + 110770/1927*c_1001_2^6 - 27055/1927*c_1001_2^5 - 108498/1927*c_1001_2^4 + 22974/1927*c_1001_2^3 + 48680/1927*c_1001_2^2 - 7377/1927*c_1001_2 - 5556/1927, c_0101_3 + 550/1927*c_1001_2^15 - 2744/1927*c_1001_2^14 + 2918/1927*c_1001_2^13 + 7288/1927*c_1001_2^12 - 17320/1927*c_1001_2^11 - 3162/1927*c_1001_2^10 + 37032/1927*c_1001_2^9 - 16683/1927*c_1001_2^8 - 47035/1927*c_1001_2^7 + 44126/1927*c_1001_2^6 + 28689/1927*c_1001_2^5 - 49887/1927*c_1001_2^4 - 6927/1927*c_1001_2^3 + 20660/1927*c_1001_2^2 - 5271/1927*c_1001_2 - 1971/1927, c_0101_5 + 1420/1927*c_1001_2^15 - 3642/1927*c_1001_2^14 - 2594/1927*c_1001_2^13 + 16486/1927*c_1001_2^12 - 2748/1927*c_1001_2^11 - 36078/1927*c_1001_2^10 + 23760/1927*c_1001_2^9 + 50904/1927*c_1001_2^8 - 48385/1927*c_1001_2^7 - 41824/1927*c_1001_2^6 + 64973/1927*c_1001_2^5 + 31607/1927*c_1001_2^4 - 36089/1927*c_1001_2^3 - 13020/1927*c_1001_2^2 + 7791/1927*c_1001_2 + 2002/1927, c_0101_6 + 1740/1927*c_1001_2^15 - 6224/1927*c_1001_2^14 + 76/41*c_1001_2^13 + 15690/1927*c_1001_2^12 - 20671/1927*c_1001_2^11 - 18600/1927*c_1001_2^10 + 49593/1927*c_1001_2^9 + 1637/1927*c_1001_2^8 - 60510/1927*c_1001_2^7 + 29000/1927*c_1001_2^6 + 45098/1927*c_1001_2^5 - 26801/1927*c_1001_2^4 - 5598/1927*c_1001_2^3 + 10458/1927*c_1001_2^2 - 4872/1927*c_1001_2 - 623/1927, c_0110_11 - 364/1927*c_1001_2^15 + 1788/1927*c_1001_2^14 - 2716/1927*c_1001_2^13 - 1614/1927*c_1001_2^12 + 8870/1927*c_1001_2^11 - 4333/1927*c_1001_2^10 - 14439/1927*c_1001_2^9 + 17677/1927*c_1001_2^8 + 9336/1927*c_1001_2^7 - 27865/1927*c_1001_2^6 + 5006/1927*c_1001_2^5 + 21335/1927*c_1001_2^4 - 13158/1927*c_1001_2^3 - 6771/1927*c_1001_2^2 + 6915/1927*c_1001_2 + 877/1927, c_1001_2^16 - 3*c_1001_2^15 - c_1001_2^14 + 13*c_1001_2^13 - 6*c_1001_2^12 - 28*c_1001_2^11 + 27*c_1001_2^10 + 37*c_1001_2^9 - 53*c_1001_2^8 - 27*c_1001_2^7 + 67*c_1001_2^6 + 13*c_1001_2^5 - 48*c_1001_2^4 - 6*c_1001_2^3 + 15*c_1001_2^2 + c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.680 Total time: 0.890 seconds, Total memory usage: 32.09MB