Magma V2.19-8 Tue Aug 20 2013 23:39:31 on localhost [Seed = 4020865966] Type ? for help. Type -D to quit. Loading file "K13n973__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n973 geometric_solution 10.03044330 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 2 0 0 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.217450233705 0.758039770393 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 -2 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349649658545 1.218891984460 5 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 1 -2 1 -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 0.349649658545 1.218891984460 5 9 7 0 2310 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027900579374 1.230746875998 8 10 0 7 1302 0132 0132 2310 0 0 0 0 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 1 -1 0 0 0 2 -2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.304806782321 1.223607566157 2 1 3 10 0132 0132 3201 2103 0 0 0 0 0 -1 0 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 2 0 -2 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 -0.217450233705 0.758039770393 10 9 1 8 0321 1023 0132 1023 0 0 0 0 0 0 1 -1 -1 0 0 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 -2 2 1 0 0 -1 0 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514692165080 0.539690667245 4 3 9 1 3201 3201 1023 0132 0 0 0 0 0 -1 1 0 0 0 -1 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 1 -1 0 0 0 2 -2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392210762423 0.716526753717 10 4 2 6 2103 2031 0132 1023 0 0 0 0 0 0 1 -1 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 2 0 0 -2 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913382222538 0.853068030068 6 3 7 2 1023 0132 1023 0132 0 0 0 0 0 0 1 -1 0 0 -1 1 -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 0 -2 2 0 0 1 -1 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392210762423 0.716526753717 6 4 8 5 0321 0132 2103 2103 0 0 0 0 0 0 0 0 -1 0 1 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 2 0 -2 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046243444094 0.697154452652 ==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' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0101_0']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1100_1']), 'c_1100_8' : negation(d['c_1100_1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_1100_1']), 'c_1100_10' : negation(d['c_0101_2']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_0']), 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : negation(d['c_0011_8']), '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_7, c_0011_8, c_0101_0, c_0101_2, c_0101_3, c_0101_7, c_1001_1, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 78073356135851520/5747941125059*c_1100_1^11 + 184261073530587392/5747941125059*c_1100_1^10 + 653172206450405312/5747941125059*c_1100_1^9 + 15215968267716576/5747941125059*c_1100_1^8 + 923963350337681888/5747941125059*c_1100_1^7 + 287142914338601728/5747941125059*c_1100_1^6 + 46571284661420528/821134446437*c_1100_1^5 + 50869342407346280/821134446437*c_1100_1^4 - 4846479596942976/5747941125059*c_1100_1^3 - 21048534965343764/5747941125059*c_1100_1^2 - 19005638371650884/5747941125059*c_1100_1 - 56176331485565292/5747941125059, c_0011_0 - 1, c_0011_10 + 373916754432/48302026261*c_1100_1^11 + 431483908736/48302026261*c_1100_1^10 - 385017115520/48302026261*c_1100_1^9 + 1161059503472/48302026261*c_1100_1^8 - 168873860472/48302026261*c_1100_1^7 + 138605468760/48302026261*c_1100_1^6 + 480411197644/48302026261*c_1100_1^5 - 252906162052/48302026261*c_1100_1^4 + 112571375244/48302026261*c_1100_1^3 + 107891321964/48302026261*c_1100_1^2 - 84301919823/48302026261*c_1100_1 + 26550000513/48302026261, c_0011_3 + 1020307002624/48302026261*c_1100_1^11 + 1610697899776/48302026261*c_1100_1^10 - 160866232736/48302026261*c_1100_1^9 + 2863635463584/48302026261*c_1100_1^8 - 219856672128/48302026261*c_1100_1^7 + 1070582726480/48302026261*c_1100_1^6 + 575012936328/48302026261*c_1100_1^5 - 259913891012/48302026261*c_1100_1^4 + 55318532220/48302026261*c_1100_1^3 + 9811322368/48302026261*c_1100_1^2 - 58252644229/48302026261*c_1100_1 + 108660590896/48302026261, c_0011_7 - 1020307002624/48302026261*c_1100_1^11 - 1610697899776/48302026261*c_1100_1^10 + 160866232736/48302026261*c_1100_1^9 - 2863635463584/48302026261*c_1100_1^8 + 219856672128/48302026261*c_1100_1^7 - 1070582726480/48302026261*c_1100_1^6 - 575012936328/48302026261*c_1100_1^5 + 259913891012/48302026261*c_1100_1^4 - 55318532220/48302026261*c_1100_1^3 - 9811322368/48302026261*c_1100_1^2 + 58252644229/48302026261*c_1100_1 - 108660590896/48302026261, c_0011_8 - 575810582272/48302026261*c_1100_1^11 - 527735270016/48302026261*c_1100_1^10 + 682556839968/48302026261*c_1100_1^9 - 1849124642096/48302026261*c_1100_1^8 + 988914014776/48302026261*c_1100_1^7 - 542715880704/48302026261*c_1100_1^6 - 261724645544/48302026261*c_1100_1^5 + 412407929716/48302026261*c_1100_1^4 - 106514427384/48302026261*c_1100_1^3 - 39302279758/48302026261*c_1100_1^2 + 94357097714/48302026261*c_1100_1 - 54547566123/48302026261, c_0101_0 - 579105560192/48302026261*c_1100_1^11 - 1069402012288/48302026261*c_1100_1^10 - 2937546992/48302026261*c_1100_1^9 - 1295730076720/48302026261*c_1100_1^8 - 349732069016/48302026261*c_1100_1^7 - 412460802944/48302026261*c_1100_1^6 - 363374852020/48302026261*c_1100_1^5 - 11704516756/48302026261*c_1100_1^4 + 61823027110/48302026261*c_1100_1^3 - 62393679942/48302026261*c_1100_1^2 + 1305739498/48302026261*c_1100_1 - 24077708562/48302026261, c_0101_2 - 575810582272/48302026261*c_1100_1^11 - 527735270016/48302026261*c_1100_1^10 + 682556839968/48302026261*c_1100_1^9 - 1849124642096/48302026261*c_1100_1^8 + 988914014776/48302026261*c_1100_1^7 - 542715880704/48302026261*c_1100_1^6 - 261724645544/48302026261*c_1100_1^5 + 412407929716/48302026261*c_1100_1^4 - 106514427384/48302026261*c_1100_1^3 - 39302279758/48302026261*c_1100_1^2 + 94357097714/48302026261*c_1100_1 - 54547566123/48302026261, c_0101_3 - 1309998789120/48302026261*c_1100_1^11 - 2040883528832/48302026261*c_1100_1^10 + 494059649984/48302026261*c_1100_1^9 - 3316111996720/48302026261*c_1100_1^8 + 248914983600/48302026261*c_1100_1^7 - 778230003416/48302026261*c_1100_1^6 - 823220760772/48302026261*c_1100_1^5 + 585558225692/48302026261*c_1100_1^4 - 51915634342/48302026261*c_1100_1^3 - 53987734442/48302026261*c_1100_1^2 + 95928907691/48302026261*c_1100_1 - 123544417225/48302026261, c_0101_7 + 1309998789120/48302026261*c_1100_1^11 + 2040883528832/48302026261*c_1100_1^10 - 494059649984/48302026261*c_1100_1^9 + 3316111996720/48302026261*c_1100_1^8 - 248914983600/48302026261*c_1100_1^7 + 778230003416/48302026261*c_1100_1^6 + 823220760772/48302026261*c_1100_1^5 - 585558225692/48302026261*c_1100_1^4 + 51915634342/48302026261*c_1100_1^3 + 53987734442/48302026261*c_1100_1^2 - 95928907691/48302026261*c_1100_1 + 123544417225/48302026261, c_1001_1 + 410395737472/48302026261*c_1100_1^11 + 741210241792/48302026261*c_1100_1^10 + 165552974416/48302026261*c_1100_1^9 + 1161774835872/48302026261*c_1100_1^8 - 70430987888/48302026261*c_1100_1^7 + 603408426176/48302026261*c_1100_1^6 + 105600964888/48302026261*c_1100_1^5 - 144566748552/48302026261*c_1100_1^4 + 21554793148/48302026261*c_1100_1^3 - 40322239896/48302026261*c_1100_1^2 - 42114977339/48302026261*c_1100_1 + 62947173682/48302026261, c_1100_1^12 + c_1100_1^11 - 9/8*c_1100_1^10 + 23/8*c_1100_1^9 - 7/4*c_1100_1^8 + c_1100_1^7 + 5/32*c_1100_1^6 - 23/32*c_1100_1^5 + 19/64*c_1100_1^4 - 1/64*c_1100_1^3 - 3/32*c_1100_1^2 + 9/64*c_1100_1 - 7/128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB