Magma V2.19-8 Tue Aug 20 2013 23:39:11 on localhost [Seed = 4004022912] Type ? for help. Type -D to quit. Loading file "K11n34__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n34 geometric_solution 11.21911773 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185095944520 1.115341420760 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 3 -1 -2 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648458708072 1.134312047099 8 0 9 5 0132 0132 0132 1302 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 1 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210368680581 1.313031711188 9 10 11 0 2310 0132 0132 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 0 0 0 -2 0 2 0 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743805530993 0.932995103097 8 11 0 7 3120 0132 0132 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 -1 1 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 0.121045619148 0.509561804173 8 1 2 6 1023 0132 2031 0213 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107361253575 0.541387872349 11 10 1 5 0321 3201 0132 0213 0 0 0 0 0 -1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657972265828 0.583026802664 9 4 11 1 0321 0321 0321 0132 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 -1 0 1 -1 0 1 0 1 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415957662465 0.668581038789 2 5 10 4 0132 1023 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468163082594 0.794693561975 7 10 3 2 0321 0321 3201 0132 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 0 -1 1 -2 0 2 0 -1 1 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513045623173 0.381046936518 8 3 6 9 2103 0132 2310 0321 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -3 3 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095726296360 0.988443850984 6 4 7 3 0321 0132 0321 0132 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 0 0 0 0 0 2 -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 0.254116361058 1.229385852911 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_0']), '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' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0011_6'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : d['c_0101_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_1001_0, c_1001_1, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1037166081619338235023/10934349884159681*c_1001_7^10 - 657765360435111735587/10934349884159681*c_1001_7^9 - 794926369599011573472/10934349884159681*c_1001_7^8 + 2505381169759512634265/21868699768319362*c_1001_7^7 + 673684753018941973237/21868699768319362*c_1001_7^6 - 1455153483252057268353/21868699768319362*c_1001_7^5 - 279663438347621548189/21868699768319362*c_1001_7^4 + 765269287186441903499/21868699768319362*c_1001_7^3 + 267767860290756874/82213157023757*c_1001_7^2 - 120978307993962460371/10934349884159681*c_1001_7 + 63627231253606268761/21868699768319362, c_0011_0 - 1, c_0011_10 - 30403953442/2197214021*c_1001_7^10 + 42282395415/2197214021*c_1001_7^9 + 29726161674/2197214021*c_1001_7^8 - 47832927289/2197214021*c_1001_7^7 - 1137483592/2197214021*c_1001_7^6 + 37031279647/2197214021*c_1001_7^5 + 12971936077/2197214021*c_1001_7^4 - 15900314675/2197214021*c_1001_7^3 - 2323870754/2197214021*c_1001_7^2 + 7669880807/2197214021*c_1001_7 + 240541796/2197214021, c_0011_11 - 84576591495/2197214021*c_1001_7^10 + 173474724777/2197214021*c_1001_7^9 + 29776473893/2197214021*c_1001_7^8 - 192835379287/2197214021*c_1001_7^7 + 77325510661/2197214021*c_1001_7^6 + 124132599185/2197214021*c_1001_7^5 - 35156000542/2197214021*c_1001_7^4 - 60641178698/2197214021*c_1001_7^3 + 20224368070/2197214021*c_1001_7^2 + 23377099912/2197214021*c_1001_7 - 9339645289/2197214021, c_0011_6 - 41321674894/2197214021*c_1001_7^10 - 27203597792/2197214021*c_1001_7^9 + 46176702224/2197214021*c_1001_7^8 - 9596510525/2197214021*c_1001_7^7 - 54183788279/2197214021*c_1001_7^6 - 927119987/2197214021*c_1001_7^5 + 19824310931/2197214021*c_1001_7^4 + 3666598000/2197214021*c_1001_7^3 - 8095380983/2197214021*c_1001_7^2 - 1769842253/2197214021*c_1001_7 + 437532352/2197214021, c_0011_7 + 96020349732/2197214021*c_1001_7^10 - 69055847073/2197214021*c_1001_7^9 - 47090809059/2197214021*c_1001_7^8 + 122755785296/2197214021*c_1001_7^7 + 5564010214/2197214021*c_1001_7^6 - 56966070524/2197214021*c_1001_7^5 + 6640450599/2197214021*c_1001_7^4 + 35308408184/2197214021*c_1001_7^3 - 7645939102/2197214021*c_1001_7^2 - 11350952656/2197214021*c_1001_7 + 6478385210/2197214021, c_0011_9 - c_1001_7, c_0101_0 + 308278275352/2197214021*c_1001_7^10 - 205576564264/2197214021*c_1001_7^9 - 216888334322/2197214021*c_1001_7^8 + 369412792782/2197214021*c_1001_7^7 + 81567695248/2197214021*c_1001_7^6 - 211673762795/2197214021*c_1001_7^5 - 31971913364/2197214021*c_1001_7^4 + 112306380112/2197214021*c_1001_7^3 + 2807015690/2197214021*c_1001_7^2 - 35718152532/2197214021*c_1001_7 + 11736277966/2197214021, c_0101_10 + 500643214914/2197214021*c_1001_7^10 - 260733169053/2197214021*c_1001_7^9 - 401236549853/2197214021*c_1001_7^8 + 560537675336/2197214021*c_1001_7^7 + 203456381846/2197214021*c_1001_7^6 - 318112241311/2197214021*c_1001_7^5 - 89156828634/2197214021*c_1001_7^4 + 166318817114/2197214021*c_1001_7^3 + 27353066370/2197214021*c_1001_7^2 - 52426984250/2197214021*c_1001_7 + 12678591212/2197214021, c_1001_0 + 41321674894/2197214021*c_1001_7^10 + 27203597792/2197214021*c_1001_7^9 - 46176702224/2197214021*c_1001_7^8 + 9596510525/2197214021*c_1001_7^7 + 54183788279/2197214021*c_1001_7^6 + 927119987/2197214021*c_1001_7^5 - 19824310931/2197214021*c_1001_7^4 - 3666598000/2197214021*c_1001_7^3 + 8095380983/2197214021*c_1001_7^2 + 3967056274/2197214021*c_1001_7 - 437532352/2197214021, c_1001_1 - 140211117284/2197214021*c_1001_7^10 + 153255692463/2197214021*c_1001_7^9 + 98796218563/2197214021*c_1001_7^8 - 233687275616/2197214021*c_1001_7^7 + 7532759127/2197214021*c_1001_7^6 + 147027511667/2197214021*c_1001_7^5 - 10088654132/2197214021*c_1001_7^4 - 73509077899/2197214021*c_1001_7^3 + 7917132270/2197214021*c_1001_7^2 + 25134254215/2197214021*c_1001_7 - 7771269421/2197214021, c_1001_2 + 136730413773/2197214021*c_1001_7^10 - 75375637103/2197214021*c_1001_7^9 - 115328470861/2197214021*c_1001_7^8 + 150272986225/2197214021*c_1001_7^7 + 52095935064/2197214021*c_1001_7^6 - 83543566034/2197214021*c_1001_7^5 - 32117568860/2197214021*c_1001_7^4 + 41144537801/2197214021*c_1001_7^3 + 12238814880/2197214021*c_1001_7^2 - 14951677415/2197214021*c_1001_7 + 2510689114/2197214021, c_1001_7^11 - 98/101*c_1001_7^10 - 56/101*c_1001_7^9 + 148/101*c_1001_7^8 - 8/101*c_1001_7^7 - 82/101*c_1001_7^6 + 10/101*c_1001_7^5 + 42/101*c_1001_7^4 - 9/101*c_1001_7^3 - 13/101*c_1001_7^2 + 7/101*c_1001_7 - 1/101 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.610 Total time: 2.819 seconds, Total memory usage: 84.12MB