Magma V2.19-8 Tue Aug 20 2013 23:39:58 on localhost [Seed = 442269355] Type ? for help. Type -D to quit. Loading file "K14n22711__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22711 geometric_solution 9.98300866 oriented_manifold CS_known 0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098310723711 1.434028389755 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 -8 0 8 0 0 1 -1 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241542757649 1.196979249461 5 0 4 8 0132 0132 2031 0132 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 -1 0 1 -1 0 1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.208278997999 0.804929195384 8 6 7 0 1302 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198575353193 1.002006599920 9 10 0 2 0132 0132 0132 1302 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 1 -1 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518237271677 0.591982171178 2 1 10 7 0132 0132 2103 2310 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 8 0 -8 1 0 -1 0 -7 8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009844515314 0.685164802492 3 9 1 8 1230 2103 0132 2310 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 7 -8 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 0.486803914313 0.608642043831 5 9 3 1 3201 2310 3120 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 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241542757649 1.196979249461 6 3 2 10 3201 2031 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194082887077 1.086889251980 4 6 10 7 0132 2103 1230 3201 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098310723711 1.434028389755 5 4 8 9 2103 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.573228402021 0.381872297023 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0101_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), '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_2_7' : d['1'], 's_2_10' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : 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' : 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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_10' : negation(d['c_0011_7']), 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), '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_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_9, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 871014662057156219/12415441521754656*c_1001_10^9 - 1519074640549124881/6595703308432161*c_1001_10^8 + 16359134938860640439/12415441521754656*c_1001_10^7 - 7196413391460442549/2741071504802976*c_1001_10^6 + 3346718449309062083/942243329776023*c_1001_10^5 - 19982487752273516755/23451389541092128*c_1001_10^4 - 837554910735095815421/105531252934914576*c_1001_10^3 + 123690618599612256055/7537946638208184*c_1001_10^2 - 256930531037027698315/26382813233728644*c_1001_10 + 4598964569010340757/2198567769477387, c_0011_0 - 1, c_0011_10 - 467334795224/5038734383829*c_1001_10^9 + 4492537958563/13436625023544*c_1001_10^8 - 3322382694773/1679578127943*c_1001_10^7 + 20648430430111/4478875007848*c_1001_10^6 - 121707927975647/13436625023544*c_1001_10^5 + 113288640951187/10077468767658*c_1001_10^4 - 302535021551387/40309875070632*c_1001_10^3 - 2466474732827/10077468767658*c_1001_10^2 - 2743446583465/1679578127943*c_1001_10 + 2250052456745/5038734383829, c_0011_3 + 7240924304549/161239500282528*c_1001_10^9 - 2879356043727/17915500031392*c_1001_10^8 + 12818456144293/13436625023544*c_1001_10^7 - 118262784334387/53746500094176*c_1001_10^6 + 77039570026539/17915500031392*c_1001_10^5 - 209409836417459/40309875070632*c_1001_10^4 + 122992877370541/40309875070632*c_1001_10^3 + 6407514627763/10077468767658*c_1001_10^2 + 29131713727/559859375981*c_1001_10 + 1493242062854/5038734383829, c_0011_6 + 10670213163467/80619750141264*c_1001_10^9 - 929925797152/1679578127943*c_1001_10^8 + 83836113903377/26873250047088*c_1001_10^7 - 222687762444995/26873250047088*c_1001_10^6 + 57674102304131/3359156255886*c_1001_10^5 - 1981077955304231/80619750141264*c_1001_10^4 + 888461095019531/40309875070632*c_1001_10^3 - 179387642505329/20154937535316*c_1001_10^2 + 6089286587213/1679578127943*c_1001_10 - 6784712722106/5038734383829, c_0011_7 + 1076095837907/8957750015696*c_1001_10^9 - 4150442225145/8957750015696*c_1001_10^8 + 18115567770247/6718312511772*c_1001_10^7 - 59846448711951/8957750015696*c_1001_10^6 + 368824962645175/26873250047088*c_1001_10^5 - 41039009809685/2239437503924*c_1001_10^4 + 103281231774889/6718312511772*c_1001_10^3 - 6637430403577/1679578127943*c_1001_10^2 + 1743243804008/559859375981*c_1001_10 - 824278973963/1679578127943, c_0011_8 + 1140173953411/26873250047088*c_1001_10^9 - 1469784680847/8957750015696*c_1001_10^8 + 6451043920843/6718312511772*c_1001_10^7 - 21421665658585/8957750015696*c_1001_10^6 + 134000281420513/26873250047088*c_1001_10^5 - 45379864149025/6718312511772*c_1001_10^4 + 6450057540631/1119718751962*c_1001_10^3 - 2621551954700/1679578127943*c_1001_10^2 + 537040766337/1119718751962*c_1001_10 + 100813173508/559859375981, c_0101_0 + 10670213163467/80619750141264*c_1001_10^9 - 929925797152/1679578127943*c_1001_10^8 + 83836113903377/26873250047088*c_1001_10^7 - 222687762444995/26873250047088*c_1001_10^6 + 57674102304131/3359156255886*c_1001_10^5 - 1981077955304231/80619750141264*c_1001_10^4 + 888461095019531/40309875070632*c_1001_10^3 - 179387642505329/20154937535316*c_1001_10^2 + 7768864715156/1679578127943*c_1001_10 - 6784712722106/5038734383829, c_0101_1 - 872745422153/161239500282528*c_1001_10^9 + 513375617989/53746500094176*c_1001_10^8 - 858517572205/13436625023544*c_1001_10^7 + 988386875435/53746500094176*c_1001_10^6 + 4095853672685/17915500031392*c_1001_10^5 - 28534457506861/40309875070632*c_1001_10^4 + 26329963640935/20154937535316*c_1001_10^3 - 5894135916632/5038734383829*c_1001_10^2 - 3700980585557/3359156255886*c_1001_10 - 388121302658/5038734383829, c_0101_2 + 2207505817579/80619750141264*c_1001_10^9 - 3466250758309/26873250047088*c_1001_10^8 + 4826036991155/6718312511772*c_1001_10^7 - 18549587851729/8957750015696*c_1001_10^6 + 41803035564627/8957750015696*c_1001_10^5 - 142773806384791/20154937535316*c_1001_10^4 + 317152369097947/40309875070632*c_1001_10^3 - 42291057154289/10077468767658*c_1001_10^2 + 2486284828559/1679578127943*c_1001_10 - 5261518848973/5038734383829, c_0101_9 + 22019243303615/80619750141264*c_1001_10^9 - 2010575560156/1679578127943*c_1001_10^8 + 177359419241413/26873250047088*c_1001_10^7 - 488988957249767/26873250047088*c_1001_10^6 + 21029816772108/559859375981*c_1001_10^5 - 4460426471358203/80619750141264*c_1001_10^4 + 2031986746933751/40309875070632*c_1001_10^3 - 421166986524791/20154937535316*c_1001_10^2 + 25628608251847/3359156255886*c_1001_10 - 10563961717886/5038734383829, c_1001_10^10 - 79/17*c_1001_10^9 + 432/17*c_1001_10^8 - 1245/17*c_1001_10^7 + 2667/17*c_1001_10^6 - 4112/17*c_1001_10^5 + 4172/17*c_1001_10^4 - 2272/17*c_1001_10^3 + 928/17*c_1001_10^2 - 320/17*c_1001_10 + 64/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.910 Total time: 1.120 seconds, Total memory usage: 32.09MB