Magma V2.19-8 Tue Aug 20 2013 16:17:47 on localhost [Seed = 2134827930] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2030 geometric_solution 5.56929870 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 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 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 -1.594839244050 3.389737962896 0 0 3 2 0132 3201 0132 0132 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 1 0 -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 0.068215282944 0.296438850057 3 4 1 5 1230 0132 0132 0132 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 -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 0.427421609205 1.446605162747 4 2 6 1 2310 3012 0132 0132 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 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 0.427421609205 1.446605162747 5 2 3 6 3012 0132 3201 3012 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 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 -0.184075748634 0.435802716230 6 6 2 4 1023 2031 0132 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525036663300 0.515816146274 5 5 4 3 1302 1023 1230 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 0.525036663300 0.515816146274 ==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_2_6' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_5'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0011_0']})} 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_3, c_0011_5, c_0101_0, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 333914720429922409413318/42403600452415679739431*c_0110_4^13 + 526833799878407708120313/42403600452415679739431*c_0110_4^12 + 112946458935741537200483/42403600452415679739431*c_0110_4^11 - 11399705938706667300876319/42403600452415679739431*c_0110_4^10 - 888491931695155489775420/3261815419416590749187*c_0110_4^9 + 8164008726522827011724209/42403600452415679739431*c_0110_4^8 + 8826905595370848264520746/3261815419416590749187*c_0110_4^7 + 152665392063464485963200993/42403600452415679739431*c_0110_4^6 - 97013969179697630124968626/42403600452415679739431*c_0110_4^5 - 167163199288931625099168024/42403600452415679739431*c_0110_4^4 + 34272854470071466581981616/42403600452415679739431*c_0110_4^3 + 19201569126284671036847503/42403600452415679739431*c_0110_4^2 - 89655266299436637573898704/42403600452415679739431*c_0110_4 - 23351410301380565630674784/42403600452415679739431, c_0011_0 - 1, c_0011_2 + 1993937850832189363/112476393772985887903*c_0110_4^13 + 3729479978927294465/112476393772985887903*c_0110_4^12 + 1098319206474656259/112476393772985887903*c_0110_4^11 - 68093543184952655041/112476393772985887903*c_0110_4^10 - 88814650730186618213/112476393772985887903*c_0110_4^9 + 45180418661357817805/112476393772985887903*c_0110_4^8 + 697411354138185048722/112476393772985887903*c_0110_4^7 + 1101540681586933405386/112476393772985887903*c_0110_4^6 - 465493518335952134001/112476393772985887903*c_0110_4^5 - 1216201431835552503678/112476393772985887903*c_0110_4^4 + 119054784352900655536/112476393772985887903*c_0110_4^3 + 161684259413172536401/112476393772985887903*c_0110_4^2 - 611374839000831689789/112476393772985887903*c_0110_4 - 228309374430132341576/112476393772985887903, c_0011_3 + 1993937850832189363/112476393772985887903*c_0110_4^13 + 3729479978927294465/112476393772985887903*c_0110_4^12 + 1098319206474656259/112476393772985887903*c_0110_4^11 - 68093543184952655041/112476393772985887903*c_0110_4^10 - 88814650730186618213/112476393772985887903*c_0110_4^9 + 45180418661357817805/112476393772985887903*c_0110_4^8 + 697411354138185048722/112476393772985887903*c_0110_4^7 + 1101540681586933405386/112476393772985887903*c_0110_4^6 - 465493518335952134001/112476393772985887903*c_0110_4^5 - 1216201431835552503678/112476393772985887903*c_0110_4^4 + 119054784352900655536/112476393772985887903*c_0110_4^3 + 161684259413172536401/112476393772985887903*c_0110_4^2 - 611374839000831689789/112476393772985887903*c_0110_4 - 228309374430132341576/112476393772985887903, c_0011_5 + 7262468656885737/3628270766870512513*c_0110_4^13 - 10057573071000121/3628270766870512513*c_0110_4^12 - 20491201384600804/3628270766870512513*c_0110_4^11 - 249196910796044840/3628270766870512513*c_0110_4^10 + 478644339121841559/3628270766870512513*c_0110_4^9 + 544261060625864914/3628270766870512513*c_0110_4^8 + 1972128513111562285/3628270766870512513*c_0110_4^7 - 3764090303613397178/3628270766870512513*c_0110_4^6 - 8349184657450267793/3628270766870512513*c_0110_4^5 + 4104505381316178139/3628270766870512513*c_0110_4^4 + 6937783906783608336/3628270766870512513*c_0110_4^3 - 3812369822766535248/3628270766870512513*c_0110_4^2 - 2414541730563196218/3628270766870512513*c_0110_4 + 1631027992973387580/3628270766870512513, c_0101_0 + 278924933232/86016708159373*c_0110_4^13 + 171986603066/86016708159373*c_0110_4^12 - 58801130042/86016708159373*c_0110_4^11 - 9599670811066/86016708159373*c_0110_4^10 - 566745129760/86016708159373*c_0110_4^9 + 6718790328727/86016708159373*c_0110_4^8 + 93700313910780/86016708159373*c_0110_4^7 + 39764768435150/86016708159373*c_0110_4^6 - 111651902138703/86016708159373*c_0110_4^5 - 67484648864648/86016708159373*c_0110_4^4 + 38744586317738/86016708159373*c_0110_4^3 - 41548810355172/86016708159373*c_0110_4^2 - 79225410320886/86016708159373*c_0110_4 + 45991269538530/86016708159373, c_0101_3 - 1952365759206003829/112476393772985887903*c_0110_4^13 - 3430131587508966004/112476393772985887903*c_0110_4^12 - 725144475279291961/112476393772985887903*c_0110_4^11 + 67079302890958540141/112476393772985887903*c_0110_4^10 + 79466891969698803788/112476393772985887903*c_0110_4^9 - 52230894393930530963/112476393772985887903*c_0110_4^8 - 688506399935389078929/112476393772985887903*c_0110_4^7 - 998404571485014882921/112476393772985887903*c_0110_4^6 + 568026301452910809121/112476393772985887903*c_0110_4^5 + 1226110822495353869171/112476393772985887903*c_0110_4^4 - 222517805254762922090/112476393772985887903*c_0110_4^3 - 259086310135366657008/112476393772985887903*c_0110_4^2 + 621395428056947803351/112476393772985887903*c_0110_4 + 240114860577434819982/112476393772985887903, c_0110_4^14 + 2*c_0110_4^13 + c_0110_4^12 - 34*c_0110_4^11 - 49*c_0110_4^10 + 10*c_0110_4^9 + 354*c_0110_4^8 + 602*c_0110_4^7 - 99*c_0110_4^6 - 624*c_0110_4^5 - 105*c_0110_4^4 + 103*c_0110_4^3 - 247*c_0110_4^2 - 185*c_0110_4 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB