Magma V2.19-8 Sat Sep 14 2013 21:51:08 on localhost [Seed = 2212807472] Type ? for help. Type -D to quit. Loading file "11_366__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_366 geometric_solution 16.04092830 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 4 0132 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 -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 1.006690171349 0.937212554731 0 5 7 6 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.005688736994 0.703012083461 8 0 5 9 0132 0132 1023 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 -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 0.656670074665 1.166851118926 10 11 7 0 0132 0132 2103 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 -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 0.718542957383 0.427350632144 12 13 0 12 0132 0132 0132 2103 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 -1 1 -4 0 -1 5 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322397592654 0.989723463120 14 1 2 12 0132 0132 1023 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.613955915164 0.673523599521 10 15 1 9 2103 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 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 0.479950892073 1.425558388378 3 16 9 1 2103 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.695971644062 1.078213974540 2 14 15 15 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300735078698 0.671172402073 10 7 2 6 1023 0213 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 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 0.655665235399 1.312698100783 3 9 6 11 0132 1023 2103 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 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 0.541945137992 0.595319387251 10 3 16 16 3012 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730032879537 0.844162802850 4 5 15 4 0132 0321 3120 2103 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 -1 1 4 0 1 -5 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322397592654 0.989723463120 14 4 16 14 2031 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322397592654 0.989723463120 5 8 13 13 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.702446005963 0.913456477821 8 6 12 8 2031 0132 3120 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744339260990 0.714435909105 11 7 13 11 3120 0132 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 1 0 -1 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 0.343691276238 1.074691579353 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_1001_12']), 'c_1001_14' : d['c_0110_13'], 'c_1001_16' : d['c_1001_1'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_15']), 'c_1001_13' : negation(d['c_1001_1']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_16']), 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0110_13'], 'c_1010_13' : d['c_0101_5'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_16']), 'c_1010_10' : d['c_0101_11'], 'c_1010_16' : d['c_1001_0'], 'c_1010_15' : d['c_0101_2'], 'c_1010_14' : d['c_0110_13'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : 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_0'], 'c_0101_16' : d['c_0101_13'], 'c_0101_15' : d['c_0101_12'], 'c_0101_14' : negation(d['c_0011_12']), '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_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : 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_0011_15' : d['c_0011_15'], 'c_0011_14' : negation(d['c_0011_0']), 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : negation(d['c_1001_12']), 'c_1100_8' : d['c_0101_12'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_1010_9'], 'c_1100_1' : d['c_1010_9'], 'c_1100_0' : negation(d['c_0101_1']), 'c_1100_3' : negation(d['c_0101_1']), 'c_1100_2' : negation(d['c_1001_12']), 'c_1100_14' : d['c_0101_13'], 'c_1100_15' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0101_13']), 'c_1100_11' : negation(d['c_0101_13']), 'c_1100_10' : d['c_0101_11'], 'c_1100_13' : negation(d['c_0101_13']), 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_12']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0101_5'], 's_3_15' : d['1'], 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : d['c_0110_13'], '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'], 'c_1100_12' : negation(d['c_0101_12']), '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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : negation(d['c_0011_16']), 'c_0011_6' : negation(d['c_0011_15']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0011_10'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0101_1'], 'c_0110_15' : d['c_0110_13'], 'c_0110_14' : d['c_0101_5'], 'c_0110_16' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 's_3_12' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_3_14' : d['1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_15']), 'c_0101_8' : negation(d['c_0011_15']), 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_15']), 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_11']), 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_15, c_0011_16, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_13, c_0101_2, c_0101_5, c_0110_13, c_1001_0, c_1001_1, c_1001_12, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 89684974158286409883835981/16564893301517208933918016*c_1010_9^11 + 13622505069140567574611529/447699818959924565781568*c_1010_9^10 + 93110593339441044944383797/2070611662689651116739752*c_1010_9^9 + 1282275471889335191429137379/16564893301517208933918016*c_1010_9^8 + 77566509865594854471977215/8282446650758604466959008*c_1010_9^7 + 39264273733580472592314071915/16564893301517208933918016*c_1010_9^6 - 56024489169115894748352623581/8282446650758604466959008*c_1010_9^\ 5 + 20078568285275347216487120309/8282446650758604466959008*c_1010_\ 9^4 - 30778034813286163431852080591/4141223325379302233479504*c_101\ 0_9^3 + 211265736622975420755974972469/16564893301517208933918016*c\ _1010_9^2 - 3661465116992120266329884907/8282446650758604466959008*\ c_1010_9 + 90986786724129649469221684767/16564893301517208933918016\ , c_0011_0 - 1, c_0011_10 - 6015250298088173/1452467342862645152*c_1010_9^11 - 2665445043452573/1452467342862645152*c_1010_9^10 - 4799111454070141/181558417857830644*c_1010_9^9 + 131362259137147069/1452467342862645152*c_1010_9^8 - 362394364632591783/726233671431322576*c_1010_9^7 + 1268778097915467813/1452467342862645152*c_1010_9^6 + 22453465451342749/726233671431322576*c_1010_9^5 + 259047367622469355/726233671431322576*c_1010_9^4 - 378713906690185001/363116835715661288*c_1010_9^3 - 523163509145847061/1452467342862645152*c_1010_9^2 + 162586215828401235/726233671431322576*c_1010_9 - 654941976178797135/1452467342862645152, c_0011_12 - 253773528286151/726233671431322576*c_1010_9^11 - 876504251339255/726233671431322576*c_1010_9^10 - 189416269253907/90779208928915322*c_1010_9^9 + 2906431968834199/726233671431322576*c_1010_9^8 - 1924382245308821/363116835715661288*c_1010_9^7 - 21573356589474129/726233671431322576*c_1010_9^6 + 121136907526840815/363116835715661288*c_1010_9^5 + 72012313604014697/363116835715661288*c_1010_9^4 + 64570409476896397/181558417857830644*c_1010_9^3 - 597727331496809919/726233671431322576*c_1010_9^2 + 75143531492434777/363116835715661288*c_1010_9 - 699974071474778141/726233671431322576, c_0011_15 - 37708112687881/1452467342862645152*c_1010_9^11 - 6307242218211769/1452467342862645152*c_1010_9^10 - 675918231024865/181558417857830644*c_1010_9^9 - 45540466228455687/1452467342862645152*c_1010_9^8 + 55183199588442133/726233671431322576*c_1010_9^7 - 743395490107511423/1452467342862645152*c_1010_9^6 + 558955113403034025/726233671431322576*c_1010_9^5 - 9548290610924129/726233671431322576*c_1010_9^4 + 301300716791625859/363116835715661288*c_1010_9^3 - 1824887774868896753/1452467342862645152*c_1010_9^2 + 78843585728534567/726233671431322576*c_1010_9 - 285659217261255491/1452467342862645152, c_0011_16 - 233262718239615/90779208928915322*c_1010_9^11 + 397175501704253/90779208928915322*c_1010_9^10 - 894635784663122/45389604464457661*c_1010_9^9 + 8594499126268787/90779208928915322*c_1010_9^8 - 21219870166532330/45389604464457661*c_1010_9^7 + 124994966247526423/90779208928915322*c_1010_9^6 - 89375804604273407/45389604464457661*c_1010_9^5 + 101622178195499694/45389604464457661*c_1010_9^4 - 131190094922951089/45389604464457661*c_1010_9^3 + 268103794814358707/90779208928915322*c_1010_9^2 - 65316207175635480/45389604464457661*c_1010_9 + 78899726942321427/90779208928915322, c_0101_0 - 5226365141450073/726233671431322576*c_1010_9^11 - 680679601431689/726233671431322576*c_1010_9^10 - 4404101916471323/90779208928915322*c_1010_9^9 + 127320627846767737/726233671431322576*c_1010_9^8 - 340565348514270411/363116835715661288*c_1010_9^7 + 1380964604641469537/726233671431322576*c_1010_9^6 - 357947334361907463/363116835715661288*c_1010_9^5 + 714486510306668927/363116835715661288*c_1010_9^4 - 612924514849951457/181558417857830644*c_1010_9^3 + 532589375076378879/726233671431322576*c_1010_9^2 - 35951445877945577/363116835715661288*c_1010_9 - 168702213347925027/726233671431322576, c_0101_1 + 5280578460770535/1452467342862645152*c_1010_9^11 + 795028569896695/1452467342862645152*c_1010_9^10 + 4837490992955095/181558417857830644*c_1010_9^9 - 123543541221731095/1452467342862645152*c_1010_9^8 + 355905318210803429/726233671431322576*c_1010_9^7 - 1422197457864614639/1452467342862645152*c_1010_9^6 + 523692496159876425/726233671431322576*c_1010_9^5 - 871339790771663489/726233671431322576*c_1010_9^4 + 644123800896782347/363116835715661288*c_1010_9^3 - 896959180117643841/1452467342862645152*c_1010_9^2 + 649533845356328183/726233671431322576*c_1010_9 + 191457891025543597/1452467342862645152, c_0101_11 - 1254474249374891/726233671431322576*c_1010_9^11 + 2152897041612485/726233671431322576*c_1010_9^10 - 870531529761779/90779208928915322*c_1010_9^9 + 47813572671932875/726233671431322576*c_1010_9^8 - 103807361899131473/363116835715661288*c_1010_9^7 + 616939904326190979/726233671431322576*c_1010_9^6 - 313942864997878005/363116835715661288*c_1010_9^5 + 240382678429245245/363116835715661288*c_1010_9^4 - 219846940823332347/181558417857830644*c_1010_9^3 + 268138375003110077/726233671431322576*c_1010_9^2 + 89420004981164165/363116835715661288*c_1010_9 - 240007441460572569/726233671431322576, c_0101_12 + 8913484475751253/1452467342862645152*c_1010_9^11 + 3360718732299877/1452467342862645152*c_1010_9^10 + 8611927374542813/181558417857830644*c_1010_9^9 - 191530694271630949/1452467342862645152*c_1010_9^8 + 587426058530324287/726233671431322576*c_1010_9^7 - 2196812972793790029/1452467342862645152*c_1010_9^6 + 797745848671655851/726233671431322576*c_1010_9^5 - 1599016036455250483/726233671431322576*c_1010_9^4 + 800888745220320425/363116835715661288*c_1010_9^3 - 1656573840895935139/1452467342862645152*c_1010_9^2 + 1030428432786215717/726233671431322576*c_1010_9 + 208859490070500935/1452467342862645152, c_0101_13 - 5280578460770535/1452467342862645152*c_1010_9^11 - 795028569896695/1452467342862645152*c_1010_9^10 - 4837490992955095/181558417857830644*c_1010_9^9 + 123543541221731095/1452467342862645152*c_1010_9^8 - 355905318210803429/726233671431322576*c_1010_9^7 + 1422197457864614639/1452467342862645152*c_1010_9^6 - 523692496159876425/726233671431322576*c_1010_9^5 + 871339790771663489/726233671431322576*c_1010_9^4 - 644123800896782347/363116835715661288*c_1010_9^3 + 896959180117643841/1452467342862645152*c_1010_9^2 - 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