Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 3086363492] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1214 geometric_solution 5.11308861 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2.078909826995 0.810801692961 0 1 1 0 0132 3201 2310 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 -0.657897074759 0.123754618539 0 3 4 0 3201 0132 0132 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 1 0 -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 0 0 0 0.736776115848 0.694261487091 5 2 6 4 0132 0132 0132 3201 0 0 0 0 0 0 0 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 -1 0 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 0.047241389511 0.637231398288 6 3 5 2 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.047241389511 0.637231398288 3 4 5 5 0132 3201 1230 3012 0 0 0 0 0 0 0 0 1 0 -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 -1 1 0 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 0.175350135697 1.056542688431 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.115703889696 1.560710897409 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : negation(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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 98026294102976934542981/623486879839662961760*c_0101_5^13 + 106425754160648376767381/623486879839662961760*c_0101_5^12 - 13672525039755610943879/31174343991983148088*c_0101_5^11 - 116511536687667189126213/62348687983966296176*c_0101_5^10 - 549019419889723145656697/77935859979957870220*c_0101_5^9 - 7063458591681878065912689/623486879839662961760*c_0101_5^8 - 635004552072346669484207/36675698814097821280*c_0101_5^7 - 6562216852039846663993447/623486879839662961760*c_0101_5^6 - 1699861087943303251853845/124697375967932592352*c_0101_5^5 + 5234429579572132765837373/623486879839662961760*c_0101_5^4 - 413061131477587728190347/155871719959915740440*c_0101_5^3 - 477071161334056702900607/623486879839662961760*c_0101_5^2 + 3495262274553255559217/7335139762819564256*c_0101_5 - 26390382129026739930807/623486879839662961760, c_0011_0 - 1, c_0011_2 - 525837907993097/1773486403002796*c_0101_5^13 - 774027781047282/443371600750699*c_0101_5^12 - 442081227392371/443371600750699*c_0101_5^11 + 6334046098661483/886743201501398*c_0101_5^10 + 27438099889949985/886743201501398*c_0101_5^9 + 157288257118928023/1773486403002796*c_0101_5^8 + 65769582232873857/443371600750699*c_0101_5^7 + 351993298647286379/1773486403002796*c_0101_5^6 + 136516863915442921/886743201501398*c_0101_5^5 + 229433886883317725/1773486403002796*c_0101_5^4 - 82339390443212917/1773486403002796*c_0101_5^3 + 5774051365033993/443371600750699*c_0101_5^2 + 15554925345175703/1773486403002796*c_0101_5 - 1391795291748322/443371600750699, c_0011_4 + 16368258698687189/166707721882262824*c_0101_5^13 + 37691907231197505/166707721882262824*c_0101_5^12 - 2955218716011217/41676930470565706*c_0101_5^11 - 119511109449231145/83353860941131412*c_0101_5^10 - 125369560307087214/20838465235282853*c_0101_5^9 - 2199784203517722225/166707721882262824*c_0101_5^8 - 3771701095158105915/166707721882262824*c_0101_5^7 - 4161546818646362471/166707721882262824*c_0101_5^6 - 4163154329812279701/166707721882262824*c_0101_5^5 - 1799274900332114115/166707721882262824*c_0101_5^4 - 61551825525669769/20838465235282853*c_0101_5^3 + 263381807150340525/166707721882262824*c_0101_5^2 - 149461318406218811/166707721882262824*c_0101_5 - 30682642480681635/166707721882262824, c_0101_0 - 54874439241272/443371600750699*c_0101_5^13 + 106009317277031/1773486403002796*c_0101_5^12 + 230909155900644/443371600750699*c_0101_5^11 + 372808088322642/443371600750699*c_0101_5^10 + 2915536814257323/886743201501398*c_0101_5^9 + 670472789229147/886743201501398*c_0101_5^8 + 3044536098411995/1773486403002796*c_0101_5^7 - 3680794949704210/443371600750699*c_0101_5^6 + 10015157226605947/1773486403002796*c_0101_5^5 - 12595213609877435/886743201501398*c_0101_5^4 + 37522733140864897/1773486403002796*c_0101_5^3 + 5310010697161491/1773486403002796*c_0101_5^2 - 1090430786469229/443371600750699*c_0101_5 + 1974050000571499/1773486403002796, c_0101_1 + 4778338095508341/7093945612011184*c_0101_5^13 - 2874030739588215/7093945612011184*c_0101_5^12 - 5903362887651779/1773486403002796*c_0101_5^11 - 18128421927323001/3546972806005592*c_0101_5^10 - 7167198124887323/443371600750699*c_0101_5^9 + 35356102854868503/7093945612011184*c_0101_5^8 + 128057795408059301/7093945612011184*c_0101_5^7 + 697081443645441193/7093945612011184*c_0101_5^6 + 330846866419149307/7093945612011184*c_0101_5^5 + 1111105804368484341/7093945612011184*c_0101_5^4 - 20743287834824336/443371600750699*c_0101_5^3 + 61472220286876517/7093945612011184*c_0101_5^2 + 69291224084713541/7093945612011184*c_0101_5 - 22342824237174931/7093945612011184, c_0101_3 - 988299528987461565/333415443764525648*c_0101_5^13 - 1547279916233027041/333415443764525648*c_0101_5^12 + 537817851928813091/83353860941131412*c_0101_5^11 + 6475836120363463345/166707721882262824*c_0101_5^10 + 3134643312282595761/20838465235282853*c_0101_5^9 + 93615088362329698913/333415443764525648*c_0101_5^8 + 147307837121556452611/333415443764525648*c_0101_5^7 + 125697532505618196767/333415443764525648*c_0101_5^6 + 128541459797030585677/333415443764525648*c_0101_5^5 - 4060277555540501117/333415443764525648*c_0101_5^4 - 23851847383244005/20838465235282853*c_0101_5^3 + 8944416433069508499/333415443764525648*c_0101_5^2 - 458263287005427325/333415443764525648*c_0101_5 - 677456800421030773/333415443764525648, c_0101_5^14 + 10/7*c_0101_5^13 - 17/7*c_0101_5^12 - 90/7*c_0101_5^11 - 342/7*c_0101_5^10 - 611/7*c_0101_5^9 - 940/7*c_0101_5^8 - 726/7*c_0101_5^7 - 108*c_0101_5^6 + 176/7*c_0101_5^5 + 23/7*c_0101_5^4 - 73/7*c_0101_5^3 + 2*c_0101_5^2 + 6/7*c_0101_5 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB