Magma V2.19-8 Tue Aug 20 2013 23:43:00 on localhost [Seed = 3364793848] Type ? for help. Type -D to quit. Loading file "K13a4875__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13a4875 geometric_solution 10.21007555 oriented_manifold CS_known -0.0000000000000007 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 -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 -1 0 1 0 0 0 0 12 0 0 -12 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.079471348180 1.746204851247 0 5 5 6 0132 0132 0321 0132 0 0 0 0 0 0 0 0 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 0 1 0 -1 0 0 0 0 13 -12 0 -1 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722143830209 0.700900159834 5 0 4 5 0321 0132 2103 0213 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 0 -1 12 0 0 -12 0 -13 0 13 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722143830209 0.700900159834 7 4 7 0 0132 2310 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 -0.140855907187 0.523396963357 2 8 0 3 2103 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 -13 1 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.601173555728 2.223644637665 2 1 1 2 0321 0132 0321 0213 0 0 0 0 0 0 0 0 -1 0 0 1 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 13 0 0 -13 0 -12 0 12 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722143830209 0.700900159834 9 10 1 10 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488783176050 1.232969584498 3 3 9 9 0132 3201 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 0.544905466083 0.163928831018 11 4 9 11 0132 0132 3120 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722143830209 0.700900159834 6 7 8 7 0132 2310 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 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 0.618226953828 0.430925299715 11 6 11 6 3012 0132 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488783176050 1.232969584498 8 8 10 10 0132 1302 3120 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 0 0 0 0 -1 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 0.286949521122 0.692074312219 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_1001_3']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : 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' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : 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' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_3']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0011_11'], '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' : 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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_0011_10'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_4, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 65420072950297/417026581312*c_1001_5^11 + 245463566858841/417026581312*c_1001_5^10 - 317779540135823/208513290656*c_1001_5^9 - 1839414669685727/417026581312*c_1001_5^8 + 900937350078547/417026581312*c_1001_5^7 + 310740332105517/37911507392*c_1001_5^6 + 2348586900852931/417026581312*c_1001_5^5 - 6942779322667/6516040333*c_1001_5^4 + 91554006080161/208513290656*c_1001_5^3 + 306409009199889/104256645328*c_1001_5^2 + 17890754301792/6516040333*c_1001_5 + 355184812942041/417026581312, c_0011_0 - 1, c_0011_10 + 484366/53851573*c_1001_5^11 + 275579/53851573*c_1001_5^10 - 9128300/53851573*c_1001_5^9 + 4988609/53851573*c_1001_5^8 + 32470618/53851573*c_1001_5^7 - 16053107/53851573*c_1001_5^6 - 16246895/53851573*c_1001_5^5 - 23605451/53851573*c_1001_5^4 + 14721171/53851573*c_1001_5^3 - 86453781/53851573*c_1001_5^2 - 234913/53851573*c_1001_5 - 38032261/53851573, c_0011_11 + c_1001_5, c_0011_3 - 8498268/53851573*c_1001_5^11 - 24593671/53851573*c_1001_5^10 + 103356112/53851573*c_1001_5^9 + 148414205/53851573*c_1001_5^8 - 238838356/53851573*c_1001_5^7 - 204631854/53851573*c_1001_5^6 - 154206888/53851573*c_1001_5^5 + 64260294/53851573*c_1001_5^4 - 89105780/53851573*c_1001_5^3 - 50080482/53851573*c_1001_5^2 - 39889494/53851573*c_1001_5 - 8577867/53851573, c_0101_0 - 216649/53851573*c_1001_5^11 - 61335/53851573*c_1001_5^10 + 3948857/53851573*c_1001_5^9 - 4048330/53851573*c_1001_5^8 - 13541862/53851573*c_1001_5^7 + 8164120/53851573*c_1001_5^6 + 5772607/53851573*c_1001_5^5 + 69133367/53851573*c_1001_5^4 - 5310311/53851573*c_1001_5^3 - 78606671/53851573*c_1001_5^2 - 208787/53851573*c_1001_5 - 2355038/53851573, c_0101_1 - 484366/53851573*c_1001_5^11 - 275579/53851573*c_1001_5^10 + 9128300/53851573*c_1001_5^9 - 4988609/53851573*c_1001_5^8 - 32470618/53851573*c_1001_5^7 + 16053107/53851573*c_1001_5^6 + 16246895/53851573*c_1001_5^5 + 23605451/53851573*c_1001_5^4 - 14721171/53851573*c_1001_5^3 + 86453781/53851573*c_1001_5^2 + 234913/53851573*c_1001_5 + 38032261/53851573, c_0101_10 - 1, c_0101_11 - 7909656/53851573*c_1001_5^11 - 23244602/53851573*c_1001_5^10 + 95191451/53851573*c_1001_5^9 + 141155164/53851573*c_1001_5^8 - 224391415/53851573*c_1001_5^7 - 196909406/53851573*c_1001_5^6 - 87240011/53851573*c_1001_5^5 + 62849665/53851573*c_1001_5^4 - 165979259/53851573*c_1001_5^3 - 48556077/53851573*c_1001_5^2 - 95879456/53851573*c_1001_5 - 8144569/53851573, c_0101_3 + 495346/53851573*c_1001_5^11 - 5938445/53851573*c_1001_5^10 - 24484992/53851573*c_1001_5^9 + 88706238/53851573*c_1001_5^8 + 101083556/53851573*c_1001_5^7 - 256586093/53851573*c_1001_5^6 - 41410224/53851573*c_1001_5^5 - 1453713/53851573*c_1001_5^4 + 43108585/53851573*c_1001_5^3 - 82558650/53851573*c_1001_5^2 + 734139/53851573*c_1001_5 - 17801431/53851573, c_0110_4 - 7909656/53851573*c_1001_5^11 - 23244602/53851573*c_1001_5^10 + 95191451/53851573*c_1001_5^9 + 141155164/53851573*c_1001_5^8 - 224391415/53851573*c_1001_5^7 - 196909406/53851573*c_1001_5^6 - 87240011/53851573*c_1001_5^5 + 62849665/53851573*c_1001_5^4 - 165979259/53851573*c_1001_5^3 - 48556077/53851573*c_1001_5^2 - 95879456/53851573*c_1001_5 - 8144569/53851573, c_1001_3 - 216649/53851573*c_1001_5^11 - 61335/53851573*c_1001_5^10 + 3948857/53851573*c_1001_5^9 - 4048330/53851573*c_1001_5^8 - 13541862/53851573*c_1001_5^7 + 8164120/53851573*c_1001_5^6 + 5772607/53851573*c_1001_5^5 + 69133367/53851573*c_1001_5^4 - 5310311/53851573*c_1001_5^3 - 78606671/53851573*c_1001_5^2 - 208787/53851573*c_1001_5 - 2355038/53851573, c_1001_5^12 + 3*c_1001_5^11 - 12*c_1001_5^10 - 19*c_1001_5^9 + 29*c_1001_5^8 + 29*c_1001_5^7 + 9*c_1001_5^6 - 10*c_1001_5^5 + 18*c_1001_5^4 + 8*c_1001_5^3 + 8*c_1001_5^2 + c_1001_5 + 2 ], 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0110_4, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 68401868335386956038777953489648239/1024826606036981055539902465311\ *c_1001_5^21 - 81374897164329205180839583463288782/1024826606036981\ 055539902465311*c_1001_5^20 + 954210512797600746994010872557935225/\ 1024826606036981055539902465311*c_1001_5^19 + 395352865175201830968886567482977552/102482660603698105553990246531\ 1*c_1001_5^18 - 611961062999159125937103716708872897/93166055094271\ 005049082042301*c_1001_5^17 + 122875556730403629929306414949476980/\ 341608868678993685179967488437*c_1001_5^16 + 82501882713802849755242427597233612/3005356615944225969325227171*c_\ 1001_5^15 - 362855429699976803612478527375058217/102482660603698105\ 5539902465311*c_1001_5^14 - 79914049000777647152131376270422689/135\ 0232682525666739841768729*c_1001_5^13 - 9640250733534268687688664486348604799/10248266060369810555399024653\ 11*c_1001_5^12 + 64656167476288348449833501688487090357/10248266060\ 36981055539902465311*c_1001_5^11 + 2053610786723121112670997881628717346/34160886867899368517996748843\ 7*c_1001_5^10 - 6409261338774063247099639889215113140/9316605509427\ 1005049082042301*c_1001_5^9 - 1505075654238755403685920796976274324\ 7/1024826606036981055539902465311*c_1001_5^8 + 35627180659232409869513282031652094660/1024826606036981055539902465\ 311*c_1001_5^7 + 453885163736923604160292576187701363/9316605509427\ 1005049082042301*c_1001_5^6 - 2093936103201503732070391095771931252\ 0/1024826606036981055539902465311*c_1001_5^5 - 5010621127627128541148096478744566629/10248266060369810555399024653\ 11*c_1001_5^4 + 4110458707968764058881295704380292524/1024826606036\ 981055539902465311*c_1001_5^3 + 21254549901220010511167257367764788\ 5/1024826606036981055539902465311*c_1001_5^2 - 1184997466609009179120052714258754606/10248266060369810555399024653\ 11*c_1001_5 - 305798332879091271197002637239919417/1024826606036981\ 055539902465311, c_0011_0 - 1, c_0011_10 - 7048896712528456849/28948339124971621899*c_1001_5^21 - 7134132781099624291/28948339124971621899*c_1001_5^20 + 101072787537387123754/28948339124971621899*c_1001_5^19 + 7579341084502400102/9649446374990540633*c_1001_5^18 - 238670417147231268735/9649446374990540633*c_1001_5^17 + 180758187821882969258/28948339124971621899*c_1001_5^16 + 2965328234704201169143/28948339124971621899*c_1001_5^15 - 696448580559155418752/28948339124971621899*c_1001_5^14 - 6401227942555893160939/28948339124971621899*c_1001_5^13 + 471795997230588149332/28948339124971621899*c_1001_5^12 + 6838064053307216218706/28948339124971621899*c_1001_5^11 - 862625770729890470783/28948339124971621899*c_1001_5^10 - 6865974512030665942411/28948339124971621899*c_1001_5^9 + 110457071940836910658/28948339124971621899*c_1001_5^8 + 1167187379897615393177/9649446374990540633*c_1001_5^7 - 241984809266678880349/28948339124971621899*c_1001_5^6 - 1634381778245856981911/28948339124971621899*c_1001_5^5 - 24825561476503469401/9649446374990540633*c_1001_5^4 + 103116278903143822166/9649446374990540633*c_1001_5^3 - 11625684422680466348/9649446374990540633*c_1001_5^2 - 9354087547417747123/9649446374990540633*c_1001_5 - 21343253164155901838/28948339124971621899, c_0011_11 + c_1001_5, c_0011_3 - 3562816290272023703/9649446374990540633*c_1001_5^21 - 2885026576205013680/9649446374990540633*c_1001_5^20 + 50195607975597149355/9649446374990540633*c_1001_5^19 + 918401144256570377/9649446374990540633*c_1001_5^18 - 342490731596843902280/9649446374990540633*c_1001_5^17 + 151060760071314817433/9649446374990540633*c_1001_5^16 + 1348879086204961857297/9649446374990540633*c_1001_5^15 - 515457480937920322717/9649446374990540633*c_1001_5^14 - 2723820908599623268424/9649446374990540633*c_1001_5^13 + 478085094192343541256/9649446374990540633*c_1001_5^12 + 2688545727995818460069/9649446374990540633*c_1001_5^11 - 676402565120365961809/9649446374990540633*c_1001_5^10 - 2907667906505294490766/9649446374990540633*c_1001_5^9 + 254651885545565175848/9649446374990540633*c_1001_5^8 + 1202691396126739466773/9649446374990540633*c_1001_5^7 - 204955520575688469912/9649446374990540633*c_1001_5^6 - 774079933947311228009/9649446374990540633*c_1001_5^5 + 4380477649595228784/9649446374990540633*c_1001_5^4 + 68645010803904440422/9649446374990540633*c_1001_5^3 - 19295234407946775197/9649446374990540633*c_1001_5^2 - 26591582133258656369/9649446374990540633*c_1001_5 - 9500400315448444230/9649446374990540633, c_0101_0 - 330138673469906668/28948339124971621899*c_1001_5^21 - 104219993287038181/28948339124971621899*c_1001_5^20 + 4786352052242212933/28948339124971621899*c_1001_5^19 - 735868907251564734/9649446374990540633*c_1001_5^18 - 10575154427814721229/9649446374990540633*c_1001_5^17 + 29537487177503583398/28948339124971621899*c_1001_5^16 + 117322564003565043067/28948339124971621899*c_1001_5^15 - 107413162823075544419/28948339124971621899*c_1001_5^14 - 225852979420031893339/28948339124971621899*c_1001_5^13 + 156920888258113263637/28948339124971621899*c_1001_5^12 + 222343837412029562342/28948339124971621899*c_1001_5^11 - 161148519190533309869/28948339124971621899*c_1001_5^10 - 233436103164808377559/28948339124971621899*c_1001_5^9 + 139083815100865617550/28948339124971621899*c_1001_5^8 + 31770455473562983273/9649446374990540633*c_1001_5^7 - 45180983824272443599/28948339124971621899*c_1001_5^6 - 59368018699999069607/28948339124971621899*c_1001_5^5 + 22474589106151814233/9649446374990540633*c_1001_5^4 + 1307529075773486380/9649446374990540633*c_1001_5^3 - 14036083557357646663/9649446374990540633*c_1001_5^2 - 754023064665418295/9649446374990540633*c_1001_5 - 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1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.490 Total time: 0.700 seconds, Total memory usage: 32.09MB