Magma V2.19-8 Tue Aug 20 2013 16:14:44 on localhost [Seed = 223121684] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s715 geometric_solution 5.22345997 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 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 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 0.484958794568 0.250269395576 2 0 3 0 0132 2310 0132 0132 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 1 -1 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 0.886678047496 0.590068933947 1 4 5 3 0132 0132 0132 2310 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455819535323 1.252006504834 2 5 4 1 3201 1023 1023 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 1 -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 0.455819535323 1.252006504834 4 2 3 4 3201 0132 1023 2310 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 1 -1 1 0 -1 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 0.437297348963 0.847746552452 3 5 5 2 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.256757537841 0.705239864970 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 262792426/3717173*c_0101_4^17 + 845047292/3717173*c_0101_4^16 + 5354265299/3717173*c_0101_4^15 - 8084662510/3717173*c_0101_4^14 - 43925899220/3717173*c_0101_4^13 + 6242254489/3717173*c_0101_4^12 + 124267416857/3717173*c_0101_4^11 + 25600355348/3717173*c_0101_4^10 - 157764064013/3717173*c_0101_4^9 - 10282256703/3717173*c_0101_4^8 + 145008471505/3717173*c_0101_4^7 - 9109419824/3717173*c_0101_4^6 - 82803579056/3717173*c_0101_4^5 + 5014674551/3717173*c_0101_4^4 + 18880773525/3717173*c_0101_4^3 - 4308538597/3717173*c_0101_4^2 - 2104608342/3717173*c_0101_4 + 617042625/3717173, c_0011_0 - 1, c_0011_1 - 43191701/3717173*c_0101_4^17 + 156661246/3717173*c_0101_4^16 + 807373353/3717173*c_0101_4^15 - 1622096001/3717173*c_0101_4^14 - 6438971885/3717173*c_0101_4^13 + 3225715246/3717173*c_0101_4^12 + 18306739311/3717173*c_0101_4^11 - 1668557016/3717173*c_0101_4^10 - 23022940767/3717173*c_0101_4^9 + 4674274183/3717173*c_0101_4^8 + 19356783260/3717173*c_0101_4^7 - 5560005719/3717173*c_0101_4^6 - 10103504518/3717173*c_0101_4^5 + 2055666561/3717173*c_0101_4^4 + 2163600924/3717173*c_0101_4^3 - 600050697/3717173*c_0101_4^2 - 192578468/3717173*c_0101_4 + 72990787/3717173, c_0011_3 + 141608957/3717173*c_0101_4^17 - 517551861/3717173*c_0101_4^16 - 2633435766/3717173*c_0101_4^15 + 5397461968/3717173*c_0101_4^14 + 20953938620/3717173*c_0101_4^13 - 11218586265/3717173*c_0101_4^12 - 59595756010/3717173*c_0101_4^11 + 7364183221/3717173*c_0101_4^10 + 74839844654/3717173*c_0101_4^9 - 17761909211/3717173*c_0101_4^8 - 62190842076/3717173*c_0101_4^7 + 19991217864/3717173*c_0101_4^6 + 31852950829/3717173*c_0101_4^5 - 7351317282/3717173*c_0101_4^4 - 6635319969/3717173*c_0101_4^3 + 1986799715/3717173*c_0101_4^2 + 562426947/3717173*c_0101_4 - 220884319/3717173, c_0101_0 + 3044856/3717173*c_0101_4^17 - 18093733/3717173*c_0101_4^16 - 26497090/3717173*c_0101_4^15 + 223012242/3717173*c_0101_4^14 + 124912933/3717173*c_0101_4^13 - 1024411802/3717173*c_0101_4^12 - 324665477/3717173*c_0101_4^11 + 2255354468/3717173*c_0101_4^10 + 201508702/3717173*c_0101_4^9 - 2649811700/3717173*c_0101_4^8 + 556979639/3717173*c_0101_4^7 + 1815111895/3717173*c_0101_4^6 - 715265027/3717173*c_0101_4^5 - 598438107/3717173*c_0101_4^4 + 229158936/3717173*c_0101_4^3 + 37917667/3717173*c_0101_4^2 - 32160194/3717173*c_0101_4 + 4053149/3717173, c_0101_1 + 98710919/3717173*c_0101_4^17 - 351651975/3717173*c_0101_4^16 - 1877938570/3717173*c_0101_4^15 + 3637049111/3717173*c_0101_4^14 + 15062035877/3717173*c_0101_4^13 - 6944978369/3717173*c_0101_4^12 - 42971001564/3717173*c_0101_4^11 + 2849149154/3717173*c_0101_4^10 + 54393655259/3717173*c_0101_4^9 - 10049155988/3717173*c_0101_4^8 - 46053506994/3717173*c_0101_4^7 + 12679773236/3717173*c_0101_4^6 + 24072882887/3717173*c_0101_4^5 - 4789262902/3717173*c_0101_4^4 - 5163277179/3717173*c_0101_4^3 + 1420301551/3717173*c_0101_4^2 + 459273920/3717173*c_0101_4 - 167984533/3717173, c_0101_4^18 - 3*c_0101_4^17 - 21*c_0101_4^16 + 26*c_0101_4^15 + 173*c_0101_4^14 + 17*c_0101_4^13 - 473*c_0101_4^12 - 221*c_0101_4^11 + 563*c_0101_4^10 + 216*c_0101_4^9 - 521*c_0101_4^8 - 142*c_0101_4^7 + 316*c_0101_4^6 + 93*c_0101_4^5 - 80*c_0101_4^4 - 16*c_0101_4^3 + 13*c_0101_4^2 + c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB