Magma V2.19-8 Wed Aug 21 2013 01:01:16 on localhost [Seed = 4223524878] Type ? for help. Type -D to quit. Loading file "L14a24647__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a24647 geometric_solution 10.79466445 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 0 1 0 0132 1302 1023 2031 2 2 2 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 0 0 0 0 0 0 0 -1 0 1 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 0.625478502089 0.033920071147 0 2 0 2 0132 0132 1023 1023 2 2 2 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 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 0 0 0 0.654532967279 0.102715802167 3 1 4 1 0132 0132 0132 1023 2 2 2 2 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 -1 1 0 0 0 0 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.451192331377 0.563942776239 2 5 4 6 0132 0132 3012 0132 2 2 2 2 0 0 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 5 -5 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963190174680 1.814519761844 7 3 8 2 0132 1230 0132 0132 2 2 2 2 0 0 0 0 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 0 0 0 -1 0 0 1 6 0 0 -6 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.963190174680 1.814519761844 8 3 9 9 2310 0132 0132 3120 2 1 2 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 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 0.612979052266 0.784922216167 10 10 3 11 0132 1230 0132 0132 2 2 0 2 0 0 1 -1 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 5 -5 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215077783833 0.612979052266 4 10 11 11 0132 3120 3012 3120 0 2 2 2 0 0 1 -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 1 0 -1 1 0 -1 0 -5 5 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215077783833 0.612979052266 12 12 5 4 0132 1302 3201 0132 2 2 2 1 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 0 0 0 0 -6 6 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612979052266 0.784922216167 5 10 12 5 3120 1302 0213 0132 2 1 2 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 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 0.505323098803 1.024852346922 6 7 6 9 0132 3120 3012 2031 2 2 2 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 5 -5 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490339144763 1.452550897877 7 7 6 12 3120 1230 0132 0132 2 2 2 0 0 0 1 -1 0 0 0 0 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 1 5 -6 0 0 0 0 0 -6 0 6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215077783833 0.612979052266 8 9 11 8 0132 0213 0132 2031 2 2 1 2 0 0 1 -1 0 0 0 0 1 0 0 -1 1 0 -1 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 5 -1 0 -4 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505323098803 1.024852346922 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0101_2'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : d['c_0011_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_0_10' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : negation(d['c_1001_5']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_4']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_0101_5, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 838685816505142803644831/3011104341406501260128000*c_1001_5^9 + 4780255356998284258410201/3011104341406501260128000*c_1001_5^8 - 88633476837186796551007/7101661182562502972000*c_1001_5^7 - 5329812334489946022455343/150555217070325063006400*c_1001_5^6 + 692322570937560833567932773/3011104341406501260128000*c_1001_5^5 - 588529260159846822546677401/3011104341406501260128000*c_1001_5^4 + 6603206081620805849868237/376388042675812657516000*c_1001_5^3 - 19374242538962832782506619/188194021337906328758000*c_1001_5^2 + 299717651939373631944709627/3011104341406501260128000*c_1001_5 + 89972826060803620130416749/3011104341406501260128000, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 2134520087068/2519398395377471*c_1001_5^9 + 8293138073391/2519398395377471*c_1001_5^8 - 2323579576109/47535818780707*c_1001_5^7 - 132214951997404/2519398395377471*c_1001_5^6 + 2481679354399206/2519398395377471*c_1001_5^5 - 3804129566363549/2519398395377471*c_1001_5^4 - 1156965684568714/2519398395377471*c_1001_5^3 - 742851370027178/2519398395377471*c_1001_5^2 + 4605925461176341/2519398395377471*c_1001_5 - 206391733514107/2519398395377471, c_0011_4 + 2134520087068/2519398395377471*c_1001_5^9 + 8293138073391/2519398395377471*c_1001_5^8 - 2323579576109/47535818780707*c_1001_5^7 - 132214951997404/2519398395377471*c_1001_5^6 + 2481679354399206/2519398395377471*c_1001_5^5 - 3804129566363549/2519398395377471*c_1001_5^4 - 1156965684568714/2519398395377471*c_1001_5^3 - 742851370027178/2519398395377471*c_1001_5^2 + 2086527065798870/2519398395377471*c_1001_5 - 206391733514107/2519398395377471, c_0101_0 - 9135033560888/2519398395377471*c_1001_5^9 - 65984613983660/2519398395377471*c_1001_5^8 + 6234702228000/47535818780707*c_1001_5^7 + 1785075321606812/2519398395377471*c_1001_5^6 - 5807869010204028/2519398395377471*c_1001_5^5 - 5077765014771605/2519398395377471*c_1001_5^4 + 9901006082310596/2519398395377471*c_1001_5^3 + 881406352362276/2519398395377471*c_1001_5^2 + 1371655637138104/2519398395377471*c_1001_5 - 4281430322043680/2519398395377471, c_0101_1 + 10198007918661/2519398395377471*c_1001_5^9 + 65811319733591/2519398395377471*c_1001_5^8 - 7826043439666/47535818780707*c_1001_5^7 - 1645172642306493/2519398395377471*c_1001_5^6 + 7546222606636289/2519398395377471*c_1001_5^5 - 774108548474051/2519398395377471*c_1001_5^4 - 6889188222848806/2519398395377471*c_1001_5^3 + 523643982214443/2519398395377471*c_1001_5^2 + 608602392235753/2519398395377471*c_1001_5 + 4505596489180849/2519398395377471, c_0101_10 + 18985441/3028048462*c_1001_5^9 + 116163797/3028048462*c_1001_5^8 - 398508138/1514024231*c_1001_5^7 - 1358215585/1514024231*c_1001_5^6 + 14320380275/3028048462*c_1001_5^5 - 8036087305/3028048462*c_1001_5^4 + 771776480/1514024231*c_1001_5^3 - 4483392114/1514024231*c_1001_5^2 + 6663924629/3028048462*c_1001_5 + 1320110781/3028048462, c_0101_12 + c_1001_5, c_0101_2 + 7751602690816/2519398395377471*c_1001_5^9 + 50862812997245/2519398395377471*c_1001_5^8 - 5768604643752/47535818780707*c_1001_5^7 - 1265409472702748/2519398395377471*c_1001_5^6 + 5380831403904188/2519398395377471*c_1001_5^5 - 418183608238883/2519398395377471*c_1001_5^4 - 1269876069998660/2519398395377471*c_1001_5^3 - 4151386660034300/2519398395377471*c_1001_5^2 + 3205731048644584/2519398395377471*c_1001_5 + 766395195022831/2519398395377471, c_0101_3 - 4300594599572/2519398395377471*c_1001_5^9 - 19324164957323/2519398395377471*c_1001_5^8 + 4216212644246/47535818780707*c_1001_5^7 + 315156667177467/2519398395377471*c_1001_5^6 - 4309741794546588/2519398395377471*c_1001_5^5 + 7279740970045561/2519398395377471*c_1001_5^4 - 1904126936352784/2519398395377471*c_1001_5^3 - 1268327071600924/2519398395377471*c_1001_5^2 - 4608190849354502/2519398395377471*c_1001_5 + 1667580838876891/2519398395377471, c_0101_5 - 1, c_1001_4 - 2134520087068/2519398395377471*c_1001_5^9 - 8293138073391/2519398395377471*c_1001_5^8 + 2323579576109/47535818780707*c_1001_5^7 + 132214951997404/2519398395377471*c_1001_5^6 - 2481679354399206/2519398395377471*c_1001_5^5 + 3804129566363549/2519398395377471*c_1001_5^4 + 1156965684568714/2519398395377471*c_1001_5^3 + 742851370027178/2519398395377471*c_1001_5^2 - 2086527065798870/2519398395377471*c_1001_5 + 206391733514107/2519398395377471, c_1001_5^10 + 6*c_1001_5^9 - 43*c_1001_5^8 - 140*c_1001_5^7 + 783*c_1001_5^6 - 466*c_1001_5^5 - 69*c_1001_5^4 - 424*c_1001_5^3 + 277*c_1001_5^2 + 174*c_1001_5 + 65 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB