Magma V2.19-8 Wed Aug 21 2013 01:11:10 on localhost [Seed = 3937202993] Type ? for help. Type -D to quit. Loading file "L14n56368__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56368 geometric_solution 12.49006602 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 2 0 0 1 -1 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 -1 2 0 -1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306060334609 0.773971263246 0 5 6 4 0132 0132 0132 0213 2 2 2 1 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 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823433138630 0.741325873503 6 0 4 7 0132 0132 2103 0132 2 2 2 1 0 0 0 0 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 -1 0 1 0 0 0 0 0 -2 0 2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300722420193 1.528372028321 7 8 5 0 3012 0132 0321 0132 2 2 2 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 1 -1 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.039344192989 0.777427408275 2 9 0 1 2103 0132 0132 0213 2 2 2 1 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 -2 2 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 0.896582640338 0.957827452323 10 1 3 11 0132 0132 0321 0132 2 0 1 2 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 0 0 0 0 0 -1 1 -1 0 1 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 0.564427928708 0.581531912472 2 10 12 1 0132 0132 0132 0132 2 2 1 2 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 0 0 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509043534958 0.704927069228 12 11 2 3 1230 2310 0132 1230 2 2 0 2 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 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306060334609 0.773971263246 10 3 11 9 2310 0132 2310 0213 2 1 0 2 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 -1 0 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 0.576507784779 0.820734004263 11 4 12 8 0132 0132 0321 0213 2 0 1 2 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 2 -2 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 0.516832003942 0.448638837590 5 6 8 12 0132 0132 3201 2310 2 0 2 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 0 0 0 0 0 0 0 1 0 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 0.326704288563 0.932384639021 9 8 5 7 0132 3201 0132 3201 2 0 2 1 0 1 -1 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 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 0.722192385866 0.633295183972 10 7 9 6 3201 3012 0321 0132 2 2 2 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 -2 2 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 0.111425681780 1.031998663010 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_1001_0']), 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : 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_10'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_9'], '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'], 'c_0110_0' : d['c_0101_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_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], '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_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_1'], 's_1_0' : negation(d['1'])})} 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_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0101_8, c_1001_0, c_1001_5, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 359717752535755801/6902489283536457*c_1001_9^7 + 3475741153303436263/18406638089430552*c_1001_9^6 + 634809627082993397/1363454673291152*c_1001_9^5 + 63402146042918050789/110439828536583312*c_1001_9^4 + 53462427909969396241/110439828536583312*c_1001_9^3 + 29986872933034837/117991269804042*c_1001_9^2 + 1748071740685357123/8495371425891024*c_1001_9 + 970276919321216431/36813276178861104, c_0011_0 - 1, c_0011_11 - 127326326630629/373639021046133*c_1001_9^7 - 198409365752535/249092680697422*c_1001_9^6 - 398525340889633/249092680697422*c_1001_9^5 - 335364075997643/747278042092266*c_1001_9^4 + 13034062440368/373639021046133*c_1001_9^3 - 3903216866813/249092680697422*c_1001_9^2 - 432968187894737/747278042092266*c_1001_9 + 100800595030724/124546340348711, c_0011_12 - 1, c_0011_7 - 45509808780881/196652116340070*c_1001_9^7 - 16587838652811/26220282178676*c_1001_9^6 - 194707244527827/131101410893380*c_1001_9^5 - 424332189523837/393304232680140*c_1001_9^4 - 51145340919394/98326058170035*c_1001_9^3 + 126791963376979/131101410893380*c_1001_9^2 + 33320589695783/393304232680140*c_1001_9 + 21542555149621/32775352723345, c_0101_0 - 1, c_0101_1 - 253583071262075/747278042092266*c_1001_9^7 - 420522801775053/498185361394844*c_1001_9^6 - 911450251370817/498185361394844*c_1001_9^5 - 1555434815399179/1494556084184532*c_1001_9^4 - 200299691661877/373639021046133*c_1001_9^3 + 256382630900657/498185361394844*c_1001_9^2 - 93056477243359/1494556084184532*c_1001_9 + 160873674858738/124546340348711, c_0101_10 + 4638828563591/1245463403487110*c_1001_9^7 + 96684666200695/498185361394844*c_1001_9^6 + 610063136420831/2490926806974220*c_1001_9^5 + 786961029370707/2490926806974220*c_1001_9^4 - 387648808453651/622731701743555*c_1001_9^3 - 1295687302189247/2490926806974220*c_1001_9^2 - 733087013540433/2490926806974220*c_1001_9 + 142190495050672/622731701743555, c_0101_12 + 50487592853179/196652116340070*c_1001_9^7 + 19108770448233/26220282178676*c_1001_9^6 + 183500912166953/131101410893380*c_1001_9^5 + 296068422831503/393304232680140*c_1001_9^4 + 1712669376821/98326058170035*c_1001_9^3 - 36152306640221/131101410893380*c_1001_9^2 + 300841283088323/393304232680140*c_1001_9 - 24299489239329/32775352723345, c_0101_6 + 716139754829/6555070544669*c_1001_9^7 + 3788289255397/13110141089338*c_1001_9^6 + 2320789438183/13110141089338*c_1001_9^5 - 11715204966809/13110141089338*c_1001_9^4 - 15478275423592/6555070544669*c_1001_9^3 - 20136394135729/13110141089338*c_1001_9^2 + 4930196404513/13110141089338*c_1001_9 + 986070220812/6555070544669, c_0101_8 + 111207054947353/747278042092266*c_1001_9^7 + 257712771144783/498185361394844*c_1001_9^6 + 525740744069347/498185361394844*c_1001_9^5 + 1182087511551113/1494556084184532*c_1001_9^4 + 560747463740/373639021046133*c_1001_9^3 - 362805595164703/498185361394844*c_1001_9^2 + 923522157648293/1494556084184532*c_1001_9 - 13326093819272/124546340348711, c_1001_0 - 1463766622621/39330423268014*c_1001_9^7 + 1762590851725/26220282178676*c_1001_9^6 - 271634657043/26220282178676*c_1001_9^5 + 32461607778991/78660846536028*c_1001_9^4 - 4742386637195/19665211634007*c_1001_9^3 + 13067889911795/26220282178676*c_1001_9^2 + 18000540520915/78660846536028*c_1001_9 + 3459361973831/6555070544669, c_1001_5 + 166509625883/19665211634007*c_1001_9^7 + 1994661326817/13110141089338*c_1001_9^6 + 4856949390451/13110141089338*c_1001_9^5 + 27316723043521/39330423268014*c_1001_9^4 + 1364978415149/19665211634007*c_1001_9^3 - 9555268794765/13110141089338*c_1001_9^2 - 22087634576813/39330423268014*c_1001_9 - 1351800621213/6555070544669, c_1001_9^8 + 279/86*c_1001_9^7 + 603/86*c_1001_9^6 + 503/86*c_1001_9^5 + 46/43*c_1001_9^4 - 219/86*c_1001_9^3 - 13/86*c_1001_9^2 - 66/43*c_1001_9 - 72/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB