Magma V2.19-8 Tue Aug 20 2013 23:40:02 on localhost [Seed = 3566383225] Type ? for help. Type -D to quit. Loading file "K14n26229__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n26229 geometric_solution 9.96972948 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 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 -1 0 1 0 0 17 -17 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647051420761 0.528880218105 0 0 5 4 0132 1302 0132 0132 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 0 0 0 17 1 -18 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073509669705 0.757285112490 4 0 7 6 1023 0132 0132 0132 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 1 0 -1 18 0 0 -18 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571183518556 0.728931713304 7 8 8 0 0321 0132 3201 0132 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 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.860595937390 0.597979475332 7 2 1 9 1302 1023 0132 0132 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 -18 18 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 1.055486789998 0.688253375936 8 6 10 1 3012 0321 0132 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 0 0 0 0 0 1 0 -1 -17 18 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073509669705 0.757285112490 10 8 2 5 0321 0213 0132 0321 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 1 -1 0 0 18 -18 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296004060863 0.950018329126 3 4 10 2 0321 2031 0213 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 0.045700155994 0.474243403192 3 3 6 5 2310 0132 0213 1230 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 0 0 0 -17 0 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771185246200 0.463290110374 9 10 4 9 3012 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045418320887 0.818273409486 6 7 9 5 0321 0213 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055486789998 0.688253375936 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_0'], '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_10' : d['c_0101_10'], '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' : d['c_0011_9'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_1001_5'], 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_6']), '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_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), '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_6']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_3']), '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_9, c_0101_1, c_0101_10, c_0101_9, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 33094230950724277/3087845030171345*c_1001_5^11 + 133727650413462281/3087845030171345*c_1001_5^10 + 2117204376269744627/3087845030171345*c_1001_5^9 - 10178135797391964378/3087845030171345*c_1001_5^8 + 4092956135318221446/3087845030171345*c_1001_5^7 + 38451033398738530449/3087845030171345*c_1001_5^6 - 53541391225817471673/3087845030171345*c_1001_5^5 - 4941420696892502401/3087845030171345*c_1001_5^4 + 43777937789867763607/3087845030171345*c_1001_5^3 - 5063219920423675381/617569006034269*c_1001_5^2 + 1297551731045941834/617569006034269*c_1001_5 - 410990345611020813/3087845030171345, c_0011_0 - 1, c_0011_10 - 215919121307600/617569006034269*c_1001_5^11 + 833784616800764/617569006034269*c_1001_5^10 + 13711159570447568/617569006034269*c_1001_5^9 - 62862453833591386/617569006034269*c_1001_5^8 + 31076697176701536/617569006034269*c_1001_5^7 + 175571980547139604/617569006034269*c_1001_5^6 - 254519691613672240/617569006034269*c_1001_5^5 + 137698926208550045/617569006034269*c_1001_5^4 - 93988899164278708/617569006034269*c_1001_5^3 + 45327694235558461/617569006034269*c_1001_5^2 - 14931078597065328/617569006034269*c_1001_5 + 1440325566174794/617569006034269, c_0011_3 + 338461101874876/617569006034269*c_1001_5^11 - 1307263989325317/617569006034269*c_1001_5^10 - 21508820294645849/617569006034269*c_1001_5^9 + 98595693705255378/617569006034269*c_1001_5^8 - 47648473858141058/617569006034269*c_1001_5^7 - 278357293716699759/617569006034269*c_1001_5^6 + 396947990993864502/617569006034269*c_1001_5^5 - 205240392507086700/617569006034269*c_1001_5^4 + 141841923930499821/617569006034269*c_1001_5^3 - 70706828860212890/617569006034269*c_1001_5^2 + 21375140492398696/617569006034269*c_1001_5 - 2076405636469316/617569006034269, c_0011_6 + 390420944143832/617569006034269*c_1001_5^11 - 1483901615476265/617569006034269*c_1001_5^10 - 24896185402780121/617569006034269*c_1001_5^9 + 112182297800242254/617569006034269*c_1001_5^8 - 48444557144212584/617569006034269*c_1001_5^7 - 322807967540913821/617569006034269*c_1001_5^6 + 437943448642132440/617569006034269*c_1001_5^5 - 213563068041555426/617569006034269*c_1001_5^4 + 155308877131492155/617569006034269*c_1001_5^3 - 73783671776352665/617569006034269*c_1001_5^2 + 21717923378772877/617569006034269*c_1001_5 - 1853230982727312/617569006034269, c_0011_7 + 409837889628499/617569006034269*c_1001_5^11 - 1508347286158327/617569006034269*c_1001_5^10 - 26316561945895985/617569006034269*c_1001_5^9 + 114589307565636184/617569006034269*c_1001_5^8 - 37013605531625152/617569006034269*c_1001_5^7 - 343131717738599071/617569006034269*c_1001_5^6 + 417967543337669629/617569006034269*c_1001_5^5 - 174332657836104927/617569006034269*c_1001_5^4 + 143059330143369452/617569006034269*c_1001_5^3 - 60755540865517539/617569006034269*c_1001_5^2 + 15212262896746826/617569006034269*c_1001_5 - 615064702249823/617569006034269, c_0011_9 + 279420854518883/617569006034269*c_1001_5^11 - 1049216239423154/617569006034269*c_1001_5^10 - 17854004994575596/617569006034269*c_1001_5^9 + 79425753252003076/617569006034269*c_1001_5^8 - 31810837133632413/617569006034269*c_1001_5^7 - 229116287750111236/617569006034269*c_1001_5^6 + 302163776915956593/617569006034269*c_1001_5^5 - 149593543432836042/617569006034269*c_1001_5^4 + 115857384529017143/617569006034269*c_1001_5^3 - 50757834341847402/617569006034269*c_1001_5^2 + 16086612203478085/617569006034269*c_1001_5 - 2090910713129865/617569006034269, c_0101_1 + 111587326871002/617569006034269*c_1001_5^11 - 472329228618486/617569006034269*c_1001_5^10 - 6941682779797652/617569006034269*c_1001_5^9 + 35169880615367736/617569006034269*c_1001_5^8 - 27102195538015802/617569006034269*c_1001_5^7 - 88760232526894835/617569006034269*c_1001_5^6 + 165726639268215603/617569006034269*c_1001_5^5 - 107647431110386531/617569006034269*c_1001_5^4 + 61740398432671395/617569006034269*c_1001_5^3 - 36750467528795705/617569006034269*c_1001_5^2 + 12448002013832212/617569006034269*c_1001_5 - 1648004170105988/617569006034269, c_0101_10 + 502008271014834/617569006034269*c_1001_5^11 - 1956230844094751/617569006034269*c_1001_5^10 - 31837868182577773/617569006034269*c_1001_5^9 + 147352178415609990/617569006034269*c_1001_5^8 - 75546752682228386/617569006034269*c_1001_5^7 - 411568200067808656/617569006034269*c_1001_5^6 + 603670087910348043/617569006034269*c_1001_5^5 - 321210499151941957/617569006034269*c_1001_5^4 + 217049275564163550/617569006034269*c_1001_5^3 - 110534139305148370/617569006034269*c_1001_5^2 + 33548356386570820/617569006034269*c_1001_5 - 3501235152833300/617569006034269, c_0101_9 - 90212178514063/617569006034269*c_1001_5^11 + 276281257434118/617569006034269*c_1001_5^10 + 5982148141089488/617569006034269*c_1001_5^9 - 21595817768505833/617569006034269*c_1001_5^8 - 6412292087282649/617569006034269*c_1001_5^7 + 76787689896012597/617569006034269*c_1001_5^6 - 45285908998573372/617569006034269*c_1001_5^5 - 6664351637269642/617569006034269*c_1001_5^4 - 19716137694032063/617569006034269*c_1001_5^3 - 2073662451174660/617569006034269*c_1001_5^2 + 1151589488640878/617569006034269*c_1001_5 - 462142795093618/617569006034269, c_1001_0 + 241738230476833/617569006034269*c_1001_5^11 - 923043261528083/617569006034269*c_1001_5^10 - 15391030755295814/617569006034269*c_1001_5^9 + 69703756059249491/617569006034269*c_1001_5^8 - 31734039332644506/617569006034269*c_1001_5^7 - 197227797259614927/617569006034269*c_1001_5^6 + 274812959752196461/617569006034269*c_1001_5^5 - 144322397888778404/617569006034269*c_1001_5^4 + 103883661968750417/617569006034269*c_1001_5^3 - 47883863145980677/617569006034269*c_1001_5^2 + 15807950097982304/617569006034269*c_1001_5 - 608228621208917/617569006034269, c_1001_5^12 - 4*c_1001_5^11 - 63*c_1001_5^10 + 300*c_1001_5^9 - 182*c_1001_5^8 - 799*c_1001_5^7 + 1286*c_1001_5^6 - 781*c_1001_5^5 + 516*c_1001_5^4 - 269*c_1001_5^3 + 95*c_1001_5^2 - 16*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB