Magma V2.19-8 Tue Aug 20 2013 23:44:06 on localhost [Seed = 643843017] Type ? for help. Type -D to quit. Loading file "L14n18613__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18613 geometric_solution 10.77333069 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 0 0 1 2 1302 2031 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514084710989 0.502999237794 3 2 4 0 0132 3012 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006198851906 0.972371302482 1 5 0 6 1230 0132 0132 0132 1 1 1 1 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 -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 1.006198851906 0.972371302482 1 5 5 7 0132 3012 1230 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660049096869 0.771073745961 8 9 9 1 0132 0132 2103 0132 1 1 1 1 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 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 0.458412566966 0.733752987336 3 2 9 3 1230 0132 0321 3012 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.660049096869 0.771073745961 7 10 2 10 3120 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458412566966 0.733752987336 8 8 3 6 2103 1302 0132 3120 1 1 0 1 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 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 0.651173096924 0.882221735582 4 10 7 7 0132 3201 2103 2031 0 1 1 1 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 -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 0.651173096924 0.882221735582 4 4 5 10 2103 0132 0321 0213 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.387587429276 0.980251384085 6 6 8 9 3012 0132 2310 0213 1 1 1 0 0 0 0 0 0 0 0 0 1 -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 1 0 -1 0 -1 1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651173096924 0.882221735582 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : negation(d['c_0011_2']), 'c_1001_8' : d['c_0011_7'], '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' : negation(d['c_0011_7']), '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_1001_5'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : negation(d['c_0011_1']), 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_0110_10'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0110_10'], 'c_1100_10' : negation(d['c_0011_4']), 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_1001_5'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_7'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : 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_1, c_0011_10, c_0011_2, c_0011_4, c_0011_7, c_0101_1, c_0101_2, c_0101_4, c_0110_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7120703143338024786988755/2731547266496420077472*c_1001_5^10 + 16200703191499451070931795/341443408312052509684*c_1001_5^9 - 773755113144115303217189757/2731547266496420077472*c_1001_5^8 + 16970957385509857065663215/26264877562465577668*c_1001_5^7 - 355580575834931159260348631/1365773633248210038736*c_1001_5^6 + 6060286318516794009082221527/2731547266496420077472*c_1001_5^5 - 4815488971486208163115883755/2731547266496420077472*c_1001_5^4 - 1131934718670944808464687929/2731547266496420077472*c_1001_5^3 + 9079236114383328266625581247/2731547266496420077472*c_1001_5^2 - 5807319824899322043828579201/2731547266496420077472*c_1001_5 + 601706320978074676969878929/341443408312052509684, c_0011_0 - 1, c_0011_1 + 4846079334867867/4725860322658166224*c_1001_5^10 - 83917952498383443/4725860322658166224*c_1001_5^9 + 449535013232690575/4725860322658166224*c_1001_5^8 - 14451414409001797/90881929281887812*c_1001_5^7 - 499652719623799401/4725860322658166224*c_1001_5^6 - 951121942226424133/1181465080664541556*c_1001_5^5 - 205582974626819653/2362930161329083112*c_1001_5^4 + 2385331989252619161/4725860322658166224*c_1001_5^3 - 3040168747234009511/2362930161329083112*c_1001_5^2 - 128326108671989491/295366270166135389*c_1001_5 - 62854561217517656/295366270166135389, c_0011_10 + 1, c_0011_2 - 4846079334867867/4725860322658166224*c_1001_5^10 + 83917952498383443/4725860322658166224*c_1001_5^9 - 449535013232690575/4725860322658166224*c_1001_5^8 + 14451414409001797/90881929281887812*c_1001_5^7 + 499652719623799401/4725860322658166224*c_1001_5^6 + 951121942226424133/1181465080664541556*c_1001_5^5 + 205582974626819653/2362930161329083112*c_1001_5^4 - 2385331989252619161/4725860322658166224*c_1001_5^3 + 3040168747234009511/2362930161329083112*c_1001_5^2 + 128326108671989491/295366270166135389*c_1001_5 + 62854561217517656/295366270166135389, c_0011_4 - 1997380253655165/2362930161329083112*c_1001_5^10 + 69147154242106981/4725860322658166224*c_1001_5^9 - 369556454310878675/4725860322658166224*c_1001_5^8 + 46932539705039253/363527717127551248*c_1001_5^7 + 53706723831574945/590732540332270778*c_1001_5^6 + 3190041559906113843/4725860322658166224*c_1001_5^5 + 223151600296059653/2362930161329083112*c_1001_5^4 - 884467775507761453/1181465080664541556*c_1001_5^3 + 2446428700511470529/4725860322658166224*c_1001_5^2 - 34422281035584749/295366270166135389*c_1001_5 + 26709253643068319/590732540332270778, c_0011_7 - 3234774159701785/4725860322658166224*c_1001_5^10 + 30428809148663635/2362930161329083112*c_1001_5^9 - 96497218967515441/1181465080664541556*c_1001_5^8 + 75865892637733287/363527717127551248*c_1001_5^7 - 606340344723141823/4725860322658166224*c_1001_5^6 + 2384324401739744657/4725860322658166224*c_1001_5^5 - 218116459953015643/295366270166135389*c_1001_5^4 - 449236853635728709/4725860322658166224*c_1001_5^3 + 9276454861139704541/4725860322658166224*c_1001_5^2 - 494883911724092081/590732540332270778*c_1001_5 + 282742489084711715/590732540332270778, c_0101_1 - c_1001_5, c_0101_2 - 2553013832646219/1181465080664541556*c_1001_5^10 + 185681223605150813/4725860322658166224*c_1001_5^9 - 1104011768328784807/4725860322658166224*c_1001_5^8 + 190036129595776135/363527717127551248*c_1001_5^7 - 363715043088359935/2362930161329083112*c_1001_5^6 + 8053860930592266833/4725860322658166224*c_1001_5^5 - 3134610895582492555/2362930161329083112*c_1001_5^4 - 1810335678770775775/2362930161329083112*c_1001_5^3 + 13732395042355736271/4725860322658166224*c_1001_5^2 - 610745042922067252/295366270166135389*c_1001_5 + 252604905511150295/590732540332270778, c_0101_4 - 365036672704949/4725860322658166224*c_1001_5^10 + 7604113344310931/4725860322658166224*c_1001_5^9 - 54007092727327443/4725860322658166224*c_1001_5^8 + 5388713497384851/181763858563775624*c_1001_5^7 + 23537243683870211/4725860322658166224*c_1001_5^6 - 56217609765941743/2362930161329083112*c_1001_5^5 - 676000288673712943/2362930161329083112*c_1001_5^4 - 1817800042217601699/4725860322658166224*c_1001_5^3 + 34790927403513933/1181465080664541556*c_1001_5^2 - 310036454407647947/590732540332270778*c_1001_5 - 11817785216858315/295366270166135389, c_0110_10 - 365036672704949/4725860322658166224*c_1001_5^10 + 7604113344310931/4725860322658166224*c_1001_5^9 - 54007092727327443/4725860322658166224*c_1001_5^8 + 5388713497384851/181763858563775624*c_1001_5^7 + 23537243683870211/4725860322658166224*c_1001_5^6 - 56217609765941743/2362930161329083112*c_1001_5^5 - 676000288673712943/2362930161329083112*c_1001_5^4 - 1817800042217601699/4725860322658166224*c_1001_5^3 + 34790927403513933/1181465080664541556*c_1001_5^2 - 310036454407647947/590732540332270778*c_1001_5 - 11817785216858315/295366270166135389, c_1001_5^11 - 18*c_1001_5^10 + 105*c_1001_5^9 - 226*c_1001_5^8 + 50*c_1001_5^7 - 831*c_1001_5^6 + 505*c_1001_5^5 + 295*c_1001_5^4 - 1243*c_1001_5^3 + 559*c_1001_5^2 - 512*c_1001_5 - 136 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB