Magma V2.19-8 Tue Aug 20 2013 20:30:59 on localhost [Seed = 4240090336] Type ? for help. Type -D to quit. Loading file "11_419__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_419 geometric_solution 13.98207661 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 2 0132 0132 0132 0213 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 1 -1 0 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462027389364 1.432009751707 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 0 6 -6 0 0 0 0 0 1 0 -1 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353783630829 0.984554683523 7 0 8 0 0132 0132 0132 0213 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462027389364 1.432009751707 4 9 9 0 2310 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642067861300 1.019522945044 7 1 3 10 1023 0132 3201 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 0 0 0 0 0 0 0 0 7 0 -7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.094639962993 0.869442653709 7 11 1 12 2310 0132 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 -6 6 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419425265786 0.763797275989 8 8 13 1 2310 3120 0132 0132 0 0 0 0 0 0 -1 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 -1 7 -6 0 0 0 0 -6 6 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263287206280 1.381600285751 2 4 5 14 0132 1023 3201 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 0 1 -1 -7 0 0 7 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228544535222 0.425184687731 12 6 6 2 0321 3120 3201 0132 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 -1 0 1 -6 0 6 0 6 -6 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300507131840 0.563558475921 11 3 3 14 3012 0132 0321 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 -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 0.642067861300 1.019522945044 14 13 4 11 3012 1023 0132 1230 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 -1 1 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.117878050260 0.542381850296 10 5 13 9 3012 0132 3012 1230 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167547082906 0.792343723503 8 14 5 13 0321 2031 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 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 7 0 -7 1 0 -1 0 -6 0 0 6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196092644376 1.096304564611 10 11 12 6 1023 1230 0132 0132 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 7 -7 0 0 0 0 -1 0 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245616015965 0.655814516449 12 9 7 10 1302 0321 0132 1230 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 6 0 -7 1 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.385914047672 1.253269832100 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0101_10'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_13' : d['c_0011_14'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_13' : d['c_0101_11'], 'c_1010_12' : d['c_0011_14'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : d['c_0101_11'], 'c_1010_14' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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_0011_14' : d['c_0011_14'], 'c_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_14' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_14']), 'c_1100_10' : negation(d['c_0011_3']), 'c_1100_13' : d['c_1100_1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_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'], 'c_1100_12' : d['c_1100_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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0011_11'], 'c_0110_13' : d['c_0101_11'], 'c_0110_12' : negation(d['c_0011_8']), 'c_0110_14' : d['c_0011_10'], 's_0_13' : d['1'], 's_2_14' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_1']), 's_2_8' : 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' : negation(d['c_0011_14']), 'c_0110_8' : negation(d['c_0011_12']), '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_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 30488430430139008760/1031574347430036957*c_1100_1^9 - 199175071406599320059/3094723042290110871*c_1100_1^8 - 182737302904770994057/3094723042290110871*c_1100_1^7 + 5241377509097306684152/3094723042290110871*c_1100_1^6 + 17242333785585910131545/3094723042290110871*c_1100_1^5 + 19647053432102243164477/3094723042290110871*c_1100_1^4 + 816765816023190078670/343858115810012319*c_1100_1^3 - 2169465021296082279146/3094723042290110871*c_1100_1^2 - 2071630186927375257505/3094723042290110871*c_1100_1 - 114701423838429306832/1031574347430036957, c_0011_0 - 1, c_0011_10 + 24046911690/147191911639*c_1100_1^9 - 21203538440/147191911639*c_1100_1^8 - 92926817541/147191911639*c_1100_1^7 + 1271619356342/147191911639*c_1100_1^6 + 6264482921968/147191911639*c_1100_1^5 + 12341974444585/147191911639*c_1100_1^4 + 13251349224456/147191911639*c_1100_1^3 + 8280281162999/147191911639*c_1100_1^2 + 3009493745503/147191911639*c_1100_1 + 547338885727/147191911639, c_0011_11 - 43781956302/147191911639*c_1100_1^9 + 83775458299/147191911639*c_1100_1^8 + 102522601422/147191911639*c_1100_1^7 - 2466922160330/147191911639*c_1100_1^6 - 8883453835529/147191911639*c_1100_1^5 - 12184832147766/147191911639*c_1100_1^4 - 8056084921808/147191911639*c_1100_1^3 - 2402560715647/147191911639*c_1100_1^2 + 52383121750/147191911639*c_1100_1 + 173568753546/147191911639, c_0011_12 - 43121907540/147191911639*c_1100_1^9 + 51063733782/147191911639*c_1100_1^8 + 154783291913/147191911639*c_1100_1^7 - 2335309996065/147191911639*c_1100_1^6 - 10537812256747/147191911639*c_1100_1^5 - 18713688895538/147191911639*c_1100_1^4 - 17519673181957/147191911639*c_1100_1^3 - 8961858477938/147191911639*c_1100_1^2 - 2384739301921/147191911639*c_1100_1 - 192344136919/147191911639, c_0011_14 + 49665101901/147191911639*c_1100_1^9 - 117503033651/147191911639*c_1100_1^8 - 57927134095/147191911639*c_1100_1^7 + 2804418630330/147191911639*c_1100_1^6 + 8827742497626/147191911639*c_1100_1^5 + 10097768657027/147191911639*c_1100_1^4 + 5115456362046/147191911639*c_1100_1^3 + 336796412945/147191911639*c_1100_1^2 - 885818257224/147191911639*c_1100_1 - 333583651243/147191911639, c_0011_3 + 6095851893/147191911639*c_1100_1^9 + 28213075251/147191911639*c_1100_1^8 - 132938757631/147191911639*c_1100_1^7 + 371484996194/147191911639*c_1100_1^6 + 3464705228380/147191911639*c_1100_1^5 + 7430236813583/147191911639*c_1100_1^4 + 5849154722165/147191911639*c_1100_1^3 + 1857649597681/147191911639*c_1100_1^2 - 262168421534/147191911639*c_1100_1 - 187411466523/147191911639, c_0011_6 - 6435760866/147191911639*c_1100_1^9 + 15809386721/147191911639*c_1100_1^8 - 11757624352/147191911639*c_1100_1^7 - 314828457200/147191911639*c_1100_1^6 - 1111650202899/147191911639*c_1100_1^5 - 2210301221970/147191911639*c_1100_1^4 - 3328010343093/147191911639*c_1100_1^3 - 2684709622384/147191911639*c_1100_1^2 - 1148882838593/147191911639*c_1100_1 - 150465573205/147191911639, c_0011_8 - 19175051106/147191911639*c_1100_1^9 + 70207711044/147191911639*c_1100_1^8 - 21118923812/147191911639*c_1100_1^7 - 1147541408300/147191911639*c_1100_1^6 - 2023586279870/147191911639*c_1100_1^5 + 1381155996593/147191911639*c_1100_1^4 + 5811829341110/147191911639*c_1100_1^3 + 5591496365040/147191911639*c_1100_1^2 + 2471403904806/147191911639*c_1100_1 + 436072913059/147191911639, c_0101_0 + 7095998358/147191911639*c_1100_1^9 - 24345695241/147191911639*c_1100_1^8 + 26486815932/147191911639*c_1100_1^7 + 354709173529/147191911639*c_1100_1^6 + 864335444302/147191911639*c_1100_1^5 + 1028541128109/147191911639*c_1100_1^4 + 1359797795098/147191911639*c_1100_1^3 + 889692019960/147191911639*c_1100_1^2 + 618041025065/147191911639*c_1100_1 + 139623527051/147191911639, c_0101_1 - 6435760866/147191911639*c_1100_1^9 + 15809386721/147191911639*c_1100_1^8 - 11757624352/147191911639*c_1100_1^7 - 314828457200/147191911639*c_1100_1^6 - 1111650202899/147191911639*c_1100_1^5 - 2210301221970/147191911639*c_1100_1^4 - 3328010343093/147191911639*c_1100_1^3 - 2684709622384/147191911639*c_1100_1^2 - 1148882838593/147191911639*c_1100_1 - 150465573205/147191911639, c_0101_10 + 29892603942/147191911639*c_1100_1^9 - 27980295261/147191911639*c_1100_1^8 - 129316937300/147191911639*c_1100_1^7 + 1636035459647/147191911639*c_1100_1^6 + 7682081371625/147191911639*c_1100_1^5 + 14050584948675/147191911639*c_1100_1^4 + 13732385576305/147191911639*c_1100_1^3 + 8130879718721/147191911639*c_1100_1^2 + 2766767880999/147191911639*c_1100_1 + 490136032894/147191911639, c_0101_11 - 73712013591/147191911639*c_1100_1^9 + 138706572091/147191911639*c_1100_1^8 + 150853951636/147191911639*c_1100_1^7 - 4076037986672/147191911639*c_1100_1^6 - 15092225419594/147191911639*c_1100_1^5 - 22439743101612/147191911639*c_1100_1^4 - 18366805586502/147191911639*c_1100_1^3 - 8617077575944/147191911639*c_1100_1^2 - 2123675488279/147191911639*c_1100_1 - 213755234484/147191911639, c_0101_3 + 86243626350/147191911639*c_1100_1^9 - 126302883561/147191911639*c_1100_1^8 - 272035084915/147191911639*c_1100_1^7 + 4762351440066/147191911639*c_1100_1^6 + 19668580850873/147191911639*c_1100_1^5 + 32080281137165/147191911639*c_1100_1^4 + 27543970651760/147191911639*c_1100_1^3 + 13159436796009/147191911639*c_1100_1^2 + 3010389905338/147191911639*c_1100_1 + 176809341166/147191911639, c_1001_0 + 30590106051/147191911639*c_1100_1^9 - 87642838309/147191911639*c_1100_1^8 + 3929340277/147191911639*c_1100_1^7 + 1740727990607/147191911639*c_1100_1^6 + 4554413162847/147191911639*c_1100_1^5 + 3726054206074/147191911639*c_1100_1^4 + 847132404545/147191911639*c_1100_1^3 - 344780901994/147191911639*c_1100_1^2 - 261063813642/147191911639*c_1100_1 + 21411097565/147191911639, c_1100_1^10 - 4/3*c_1100_1^9 - 3*c_1100_1^8 + 54*c_1100_1^7 + 235*c_1100_1^6 + 421*c_1100_1^5 + 1292/3*c_1100_1^4 + 824/3*c_1100_1^3 + 110*c_1100_1^2 + 76/3*c_1100_1 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 236.340 Total time: 236.550 seconds, Total memory usage: 1599.94MB