Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 1882320041] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1818 geometric_solution 5.47777437 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.711039451422 0.540008803195 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 1 -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 0 0 0 0.336688291085 1.208382823725 4 5 1 5 0132 0132 0132 2310 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 -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 0.812440626727 0.646367374253 5 4 5 1 3201 0132 1023 0132 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 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 0.812440626727 0.646367374253 2 3 6 6 0132 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336688291085 1.208382823725 2 2 3 3 3201 0132 1023 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 -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 0.649618258194 0.353575625157 4 6 4 6 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.711039451422 0.540008803195 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 47/4*c_0101_4^10 - 16*c_0101_4^8 - 1043/8*c_0101_4^6 + 203*c_0101_4^4 - 471/4*c_0101_4^2 + 173/8, c_0011_0 - 1, c_0011_2 - 2*c_0101_4^10 - 2*c_0101_4^8 - 21*c_0101_4^6 + 43*c_0101_4^4 - 30*c_0101_4^2 + 7, c_0011_6 + 1, c_0101_0 - 2*c_0101_4^11 - 2*c_0101_4^9 - 21*c_0101_4^7 + 43*c_0101_4^5 - 30*c_0101_4^3 + 8*c_0101_4, c_0101_1 - c_0101_4, c_0101_3 - 11*c_0101_4^11 - 12*c_0101_4^9 - 231/2*c_0101_4^7 + 228*c_0101_4^5 - 131*c_0101_4^3 + 49/2*c_0101_4, c_0101_4^12 + c_0101_4^10 + 21/2*c_0101_4^8 - 43/2*c_0101_4^6 + 15*c_0101_4^4 - 9/2*c_0101_4^2 + 1/2 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 46136133641533/8931664183096*c_0101_4^14 - 2952037839513017/8931664183096*c_0101_4^12 + 4894524194912029/8931664183096*c_0101_4^10 - 3183556025388789/4465832091548*c_0101_4^8 + 366969418264061139/8931664183096*c_0101_4^6 - 153557118710498197/8931664183096*c_0101_4^4 + 11265376521370283/8931664183096*c_0101_4^2 + 163789264691367/4465832091548, c_0011_0 - 1, c_0011_2 + 73591070879/2232916045774*c_0101_4^14 - 9409252289275/4465832091548*c_0101_4^12 + 15084544569513/4465832091548*c_0101_4^10 - 19323769213295/4465832091548*c_0101_4^8 + 584743427806365/2232916045774*c_0101_4^6 - 424179777704321/4465832091548*c_0101_4^4 - 4233109958419/4465832091548*c_0101_4^2 - 2329343288725/4465832091548, c_0011_6 - 25611041183/4465832091548*c_0101_4^14 + 824510521117/2232916045774*c_0101_4^12 - 843396652714/1116458022887*c_0101_4^10 + 4511893899699/4465832091548*c_0101_4^8 - 205004763295537/4465832091548*c_0101_4^6 + 41788732251656/1116458022887*c_0101_4^4 - 13765343839123/2232916045774*c_0101_4^2 - 2109853492927/4465832091548, c_0101_0 - 259924844141/2232916045774*c_0101_4^15 + 33256542683567/4465832091548*c_0101_4^13 - 54745325177433/4465832091548*c_0101_4^11 + 70705411773787/4465832091548*c_0101_4^9 - 2066821817065181/2232916045774*c_0101_4^7 + 1680071275230389/4465832091548*c_0101_4^5 - 59801697615761/4465832091548*c_0101_4^3 + 3026241097789/4465832091548*c_0101_4, c_0101_1 + 393222287911/4465832091548*c_0101_4^15 - 6312889541623/1116458022887*c_0101_4^13 + 23766724684155/2232916045774*c_0101_4^11 - 63230866450269/4465832091548*c_0101_4^9 + 3139189663008265/4465832091548*c_0101_4^7 - 1015933566087543/2232916045774*c_0101_4^5 + 78116186510586/1116458022887*c_0101_4^3 + 8448464619773/4465832091548*c_0101_4, c_0101_3 - 537378779357/2232916045774*c_0101_4^15 + 17191483532160/1116458022887*c_0101_4^13 - 28454152633800/1116458022887*c_0101_4^11 + 73317098330523/2232916045774*c_0101_4^9 - 4273278415370551/2232916045774*c_0101_4^7 + 888062659934590/1116458022887*c_0101_4^5 - 20076132853630/1116458022887*c_0101_4^3 - 3880281237803/2232916045774*c_0101_4, c_0101_4^16 - 64*c_0101_4^14 + 107*c_0101_4^12 - 138*c_0101_4^10 + 7954*c_0101_4^8 - 3442*c_0101_4^6 + 99*c_0101_4^4 + 20*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB