Magma V2.19-8 Wed Aug 21 2013 00:51:23 on localhost [Seed = 896737372] Type ? for help. Type -D to quit. Loading file "L11a366__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a366 geometric_solution 11.80705525 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 -1 1 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 -4 5 -1 -1 0 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.184130727770 0.707342398695 0 2 6 5 0132 0321 0132 0132 1 0 0 1 0 1 0 -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 4 0 -4 1 0 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556023558542 0.501547762085 4 0 4 1 3012 0132 2310 0321 1 1 0 1 0 1 0 -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 4 0 -4 1 0 -1 0 -1 -3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715362295269 0.925421033225 5 6 4 0 0132 0132 2103 0132 1 0 0 1 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 5 0 -5 0 0 0 0 -3 0 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.556023558542 0.501547762085 3 2 0 2 2103 3201 0132 1230 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 0 0 0 0 1 -1 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 0.715362295269 0.925421033225 3 7 1 8 0132 0132 0132 0132 1 0 1 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 4 -4 0 0 0 0 1 -1 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744067896288 1.064414125687 8 3 7 1 0132 0132 0132 0132 1 0 1 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 -5 5 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 0.744067896288 1.064414125687 9 5 10 6 0132 0132 0132 0132 1 0 0 1 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 5 -5 -1 0 0 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427003275070 0.650425145838 6 10 5 11 0132 0132 0132 0132 1 0 0 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427003275070 0.650425145838 7 10 12 11 0132 1023 0132 3201 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 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227424650893 0.625118662598 9 8 11 7 1023 0132 0132 0132 1 0 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 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.790298420417 0.812887397417 12 9 8 10 1023 2310 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 4 -5 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 0.227424650893 0.625118662598 12 11 12 9 2031 1023 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786649201250 1.957110431144 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_7'], 's_0_10' : 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' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_1'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_7'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), 's_1_7' : negation(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' : 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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 5711681835171994525007/121103930756432179200*c_1100_1^18 + 15797834783855206785569/121103930756432179200*c_1100_1^17 + 2314962122844909806857/24220786151286435840*c_1100_1^16 - 37996867876225495565231/121103930756432179200*c_1100_1^15 - 52350263014425303613343/121103930756432179200*c_1100_1^14 - 194113704197173838509/3027598268910804480*c_1100_1^13 - 8865158888288971802807/121103930756432179200*c_1100_1^12 - 9868845885769616840003/20183988459405363200*c_1100_1^11 + 40504526975635526427011/40367976918810726400*c_1100_1^10 + 1223878627674793638209/807359538376214528*c_1100_1^9 + 51949991893932640923761/60551965378216089600*c_1100_1^8 + 18510323428703636786867/121103930756432179200*c_1100_1^7 - 34933138145613233138401/121103930756432179200*c_1100_1^6 - 4903964789727470021317/40367976918810726400*c_1100_1^5 - 12065513553341556128491/30275982689108044800*c_1100_1^4 - 67671401106667256398821/40367976918810726400*c_1100_1^3 + 2515910812411329903211/5045997114851340800*c_1100_1^2 + 136683224660203207244651/121103930756432179200*c_1100_1 + 14750308483442836393853/40367976918810726400, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 - 1592624658598360/9094213550203521*c_1100_1^18 - 1349939452507405/3031404516734507*c_1100_1^17 - 599132502766698/3031404516734507*c_1100_1^16 + 13173354540914900/9094213550203521*c_1100_1^15 + 5236444167275746/3031404516734507*c_1100_1^14 + 52782001975693/9094213550203521*c_1100_1^13 - 2752975291374112/9094213550203521*c_1100_1^12 + 6043404753026357/9094213550203521*c_1100_1^11 - 16412509093324406/3031404516734507*c_1100_1^10 - 18766103297091732/3031404516734507*c_1100_1^9 - 17956870590491051/9094213550203521*c_1100_1^8 + 18438335332634968/9094213550203521*c_1100_1^7 + 15081268056260780/3031404516734507*c_1100_1^6 + 39483891612160264/9094213550203521*c_1100_1^5 + 47561839711341224/9094213550203521*c_1100_1^4 + 79699757416855195/9094213550203521*c_1100_1^3 - 6578137355678313/3031404516734507*c_1100_1^2 - 45778146473614234/9094213550203521*c_1100_1 - 11315932042296413/9094213550203521, c_0011_4 - 201244243293959/3031404516734507*c_1100_1^18 - 296948369915619/3031404516734507*c_1100_1^17 + 176445612746361/3031404516734507*c_1100_1^16 + 1540418895847571/3031404516734507*c_1100_1^15 - 72336076475062/3031404516734507*c_1100_1^14 - 1142686162537131/3031404516734507*c_1100_1^13 + 1012168351626158/3031404516734507*c_1100_1^12 + 1785133230839741/3031404516734507*c_1100_1^11 - 7334941804007901/3031404516734507*c_1100_1^10 - 391759622452041/3031404516734507*c_1100_1^9 + 1830066629118307/3031404516734507*c_1100_1^8 + 2401586119726238/3031404516734507*c_1100_1^7 + 440631782237075/3031404516734507*c_1100_1^6 - 837204694225685/3031404516734507*c_1100_1^5 + 1869359351430012/3031404516734507*c_1100_1^4 + 5721345960855561/3031404516734507*c_1100_1^3 - 12793422749762916/3031404516734507*c_1100_1^2 + 3393521535642148/3031404516734507*c_1100_1 + 1689467162478017/3031404516734507, c_0101_0 - 1, c_0101_1 + 178827352437265/3031404516734507*c_1100_1^18 + 318909865218369/3031404516734507*c_1100_1^17 - 69063132967781/3031404516734507*c_1100_1^16 - 1467232739150986/3031404516734507*c_1100_1^15 - 527122700419785/3031404516734507*c_1100_1^14 + 999068778275685/3031404516734507*c_1100_1^13 + 201047269500402/3031404516734507*c_1100_1^12 - 984496260621474/3031404516734507*c_1100_1^11 + 5054362724777221/3031404516734507*c_1100_1^10 + 571803687839799/3031404516734507*c_1100_1^9 - 917834384405720/3031404516734507*c_1100_1^8 - 2251980718678455/3031404516734507*c_1100_1^7 - 1794175829406837/3031404516734507*c_1100_1^6 + 176419390254854/3031404516734507*c_1100_1^5 + 47733828355489/3031404516734507*c_1100_1^4 - 3074500415157674/3031404516734507*c_1100_1^3 + 8774641777252434/3031404516734507*c_1100_1^2 - 1607783431839326/3031404516734507*c_1100_1 + 526666919138316/3031404516734507, c_0101_10 - 247488044768771/3031404516734507*c_1100_1^18 - 583561157298693/3031404516734507*c_1100_1^17 - 216124501291513/3031404516734507*c_1100_1^16 + 2016771454707410/3031404516734507*c_1100_1^15 + 2181215674962445/3031404516734507*c_1100_1^14 + 265658419986996/3031404516734507*c_1100_1^13 + 47855647088023/3031404516734507*c_1100_1^12 + 775234248360451/3031404516734507*c_1100_1^11 - 8146966303047576/3031404516734507*c_1100_1^10 - 7551422152277012/3031404516734507*c_1100_1^9 - 4579059540730135/3031404516734507*c_1100_1^8 + 763166106808612/3031404516734507*c_1100_1^7 + 5962293715407580/3031404516734507*c_1100_1^6 + 7043915845260803/3031404516734507*c_1100_1^5 + 9874582588044801/3031404516734507*c_1100_1^4 + 17579270874362118/3031404516734507*c_1100_1^3 - 347702367586576/3031404516734507*c_1100_1^2 - 357241114979392/3031404516734507*c_1100_1 - 825129589264967/3031404516734507, c_0101_11 + 959059109621185/9094213550203521*c_1100_1^18 + 1103344065949645/3031404516734507*c_1100_1^17 + 1348852811663787/3031404516734507*c_1100_1^16 - 3724677834531824/9094213550203521*c_1100_1^15 - 3585804516652361/3031404516734507*c_1100_1^14 - 6686308888321246/9094213550203521*c_1100_1^13 - 6352219538758835/9094213550203521*c_1100_1^12 - 16936796135708903/9094213550203521*c_1100_1^11 + 2258077761855528/3031404516734507*c_1100_1^10 + 11790883935637973/3031404516734507*c_1100_1^9 + 35219259260226572/9094213550203521*c_1100_1^8 + 30286494704106938/9094213550203521*c_1100_1^7 + 6732242121506606/3031404516734507*c_1100_1^6 + 21354401904707915/9094213550203521*c_1100_1^5 + 12124361196227485/9094213550203521*c_1100_1^4 - 22367042683363663/9094213550203521*c_1100_1^3 - 3132700694086668/3031404516734507*c_1100_1^2 + 14707946378370517/9094213550203521*c_1100_1 + 1402155933870764/9094213550203521, c_0101_2 + 201244243293959/3031404516734507*c_1100_1^18 + 296948369915619/3031404516734507*c_1100_1^17 - 176445612746361/3031404516734507*c_1100_1^16 - 1540418895847571/3031404516734507*c_1100_1^15 + 72336076475062/3031404516734507*c_1100_1^14 + 1142686162537131/3031404516734507*c_1100_1^13 - 1012168351626158/3031404516734507*c_1100_1^12 - 1785133230839741/3031404516734507*c_1100_1^11 + 7334941804007901/3031404516734507*c_1100_1^10 + 391759622452041/3031404516734507*c_1100_1^9 - 1830066629118307/3031404516734507*c_1100_1^8 - 2401586119726238/3031404516734507*c_1100_1^7 - 440631782237075/3031404516734507*c_1100_1^6 + 837204694225685/3031404516734507*c_1100_1^5 - 1869359351430012/3031404516734507*c_1100_1^4 - 5721345960855561/3031404516734507*c_1100_1^3 + 12793422749762916/3031404516734507*c_1100_1^2 - 362117018907641/3031404516734507*c_1100_1 - 4720871679212524/3031404516734507, c_0101_7 + 241306302166786/3031404516734507*c_1100_1^18 + 462434347113495/3031404516734507*c_1100_1^17 - 49818291824375/3031404516734507*c_1100_1^16 - 2008802925644740/3031404516734507*c_1100_1^15 - 953962941734889/3031404516734507*c_1100_1^14 + 1303262972816543/3031404516734507*c_1100_1^13 + 106318665071026/3031404516734507*c_1100_1^12 - 1930108116953384/3031404516734507*c_1100_1^11 + 6744607037406796/3031404516734507*c_1100_1^10 + 3406955645919787/3031404516734507*c_1100_1^9 + 165352998425147/3031404516734507*c_1100_1^8 - 2520504125183463/3031404516734507*c_1100_1^7 - 3356337596745569/3031404516734507*c_1100_1^6 - 579166167265888/3031404516734507*c_1100_1^5 - 3388155017748483/3031404516734507*c_1100_1^4 - 6849598351944248/3031404516734507*c_1100_1^3 + 7999457004201471/3031404516734507*c_1100_1^2 + 757055972993086/3031404516734507*c_1100_1 + 241870484310821/3031404516734507, c_1001_0 + 178827352437265/3031404516734507*c_1100_1^18 + 318909865218369/3031404516734507*c_1100_1^17 - 69063132967781/3031404516734507*c_1100_1^16 - 1467232739150986/3031404516734507*c_1100_1^15 - 527122700419785/3031404516734507*c_1100_1^14 + 999068778275685/3031404516734507*c_1100_1^13 + 201047269500402/3031404516734507*c_1100_1^12 - 984496260621474/3031404516734507*c_1100_1^11 + 5054362724777221/3031404516734507*c_1100_1^10 + 571803687839799/3031404516734507*c_1100_1^9 - 917834384405720/3031404516734507*c_1100_1^8 - 2251980718678455/3031404516734507*c_1100_1^7 - 1794175829406837/3031404516734507*c_1100_1^6 + 176419390254854/3031404516734507*c_1100_1^5 + 47733828355489/3031404516734507*c_1100_1^4 - 3074500415157674/3031404516734507*c_1100_1^3 + 8774641777252434/3031404516734507*c_1100_1^2 - 1607783431839326/3031404516734507*c_1100_1 + 526666919138316/3031404516734507, c_1001_7 + 201244243293959/3031404516734507*c_1100_1^18 + 296948369915619/3031404516734507*c_1100_1^17 - 176445612746361/3031404516734507*c_1100_1^16 - 1540418895847571/3031404516734507*c_1100_1^15 + 72336076475062/3031404516734507*c_1100_1^14 + 1142686162537131/3031404516734507*c_1100_1^13 - 1012168351626158/3031404516734507*c_1100_1^12 - 1785133230839741/3031404516734507*c_1100_1^11 + 7334941804007901/3031404516734507*c_1100_1^10 + 391759622452041/3031404516734507*c_1100_1^9 - 1830066629118307/3031404516734507*c_1100_1^8 - 2401586119726238/3031404516734507*c_1100_1^7 - 440631782237075/3031404516734507*c_1100_1^6 + 837204694225685/3031404516734507*c_1100_1^5 - 1869359351430012/3031404516734507*c_1100_1^4 - 5721345960855561/3031404516734507*c_1100_1^3 + 9762018233028409/3031404516734507*c_1100_1^2 - 362117018907641/3031404516734507*c_1100_1 - 1689467162478017/3031404516734507, c_1100_1^19 + 2*c_1100_1^18 - 8*c_1100_1^16 - 4*c_1100_1^15 + 5*c_1100_1^14 - c_1100_1^13 - 9*c_1100_1^12 + 29*c_1100_1^11 + 15*c_1100_1^10 - 4*c_1100_1^9 - 9*c_1100_1^8 - 8*c_1100_1^7 + 2*c_1100_1^6 - 7*c_1100_1^5 - 29*c_1100_1^4 + 37*c_1100_1^3 + 13*c_1100_1^2 - 8*c_1100_1 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB