Magma V2.19-8 Tue Aug 20 2013 17:56:54 on localhost [Seed = 1562175813] Type ? for help. Type -D to quit. Loading file "11_22__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_22 geometric_solution 10.53138442 oriented_manifold CS_known -0.0000000000000002 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 -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 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778399548358 0.977753663508 0 5 7 6 0132 0132 0132 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 0 -1 1 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.061305602345 0.489825833046 8 0 9 7 0132 0132 0132 3201 0 0 0 0 0 0 0 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 0 0 0 5 0 0 -5 -1 0 0 1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171789721534 1.117869757852 6 5 10 0 0132 1302 0132 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 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631641583562 0.261481348956 9 11 0 10 0132 0132 0132 1302 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 -1 0 0 0 0 0 0 0 0 0 -6 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598770298376 0.523212067951 8 1 11 3 1023 0132 1302 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.015123834540 0.638088590373 3 8 1 9 0132 0213 0132 3012 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 1 -1 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 1.025897671224 1.413456942286 10 2 11 1 0321 2310 1023 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 -1 0 1 1 0 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.134300480520 0.873919838145 2 5 6 10 0132 1023 0213 0321 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 -5 0 6 -1 6 0 0 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.263655342322 1.856063769623 4 11 6 2 0132 0321 1230 0132 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 0 0 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656956071494 0.690613469284 7 8 4 3 0321 0321 2031 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 6 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902571940657 0.640695903885 5 4 7 9 2031 0132 1023 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 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 0.944244728894 1.318216285025 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_11']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_7']), 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_0101_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0101_11']), 'c_1010_2' : negation(d['c_0101_11']), 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0110_5'], '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' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], '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' : 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_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_7'])})} 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_3, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_9, c_0110_5, c_1001_2, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 4783267014632613/32475541888*c_1001_9^10 - 12620066272746227/32475541888*c_1001_9^9 + 16185331535141797/32475541888*c_1001_9^8 - 1006620706198983/4059442736*c_1001_9^7 + 2774149313636801/16237770944*c_1001_9^6 + 7189413846843777/32475541888*c_1001_9^5 + 4171249771030169/32475541888*c_1001_9^4 + 1803392664625307/16237770944*c_1001_9^3 - 1666401510054617/32475541888*c_1001_9^2 + 144154014119105/279961568*c_1001_9 - 1015491060755099/8118885472, c_0011_0 - 1, c_0011_10 + 23153819/71848544*c_1001_9^10 - 10028613/8981068*c_1001_9^9 + 108491073/71848544*c_1001_9^8 - 54483529/71848544*c_1001_9^7 + 7513301/71848544*c_1001_9^6 + 9130637/17962136*c_1001_9^5 - 52763011/71848544*c_1001_9^4 + 16766985/71848544*c_1001_9^3 - 20800631/35924272*c_1001_9^2 + 970067/619384*c_1001_9 - 7657795/8981068, c_0011_11 - 113020999/143697088*c_1001_9^10 + 329068333/143697088*c_1001_9^9 - 441673327/143697088*c_1001_9^8 + 59644431/35924272*c_1001_9^7 - 58079105/71848544*c_1001_9^6 - 197078847/143697088*c_1001_9^5 + 1570981/143697088*c_1001_9^4 - 7810575/71848544*c_1001_9^3 - 6118785/143697088*c_1001_9^2 - 3285223/1238768*c_1001_9 + 33291237/35924272, c_0011_3 + 33232719/71848544*c_1001_9^10 - 109275071/71848544*c_1001_9^9 + 152163311/71848544*c_1001_9^8 - 41972107/35924272*c_1001_9^7 + 5258001/17962136*c_1001_9^6 + 49239921/71848544*c_1001_9^5 - 13315401/71848544*c_1001_9^4 - 1188887/4490534*c_1001_9^3 - 69828445/71848544*c_1001_9^2 + 1373525/619384*c_1001_9 - 23678723/17962136, c_0011_7 - 18345301/71848544*c_1001_9^10 + 29669763/35924272*c_1001_9^9 - 77286193/71848544*c_1001_9^8 + 19968355/71848544*c_1001_9^7 + 1657459/71848544*c_1001_9^6 - 5420987/17962136*c_1001_9^5 + 16539385/71848544*c_1001_9^4 - 39671009/71848544*c_1001_9^3 + 7920477/35924272*c_1001_9^2 - 1163105/619384*c_1001_9 + 2212695/8981068, c_0101_0 + 23118459/71848544*c_1001_9^10 - 23359133/71848544*c_1001_9^9 - 22483973/71848544*c_1001_9^8 + 2280182/2245267*c_1001_9^7 - 3531413/35924272*c_1001_9^6 + 51538799/71848544*c_1001_9^5 + 82795199/71848544*c_1001_9^4 + 22505733/35924272*c_1001_9^3 - 38393031/71848544*c_1001_9^2 + 125349/619384*c_1001_9 + 6494607/17962136, c_0101_10 + 21438417/143697088*c_1001_9^10 - 43523915/143697088*c_1001_9^9 + 55288541/143697088*c_1001_9^8 - 790133/4490534*c_1001_9^7 + 8047931/71848544*c_1001_9^6 + 70284749/143697088*c_1001_9^5 + 68642685/143697088*c_1001_9^4 + 49054957/71848544*c_1001_9^3 - 31146533/143697088*c_1001_9^2 + 1088749/1238768*c_1001_9 - 4412871/35924272, c_0101_11 + 43433845/35924272*c_1001_9^10 - 107378453/35924272*c_1001_9^9 + 130738295/35924272*c_1001_9^8 - 15146457/8981068*c_1001_9^7 + 12384295/8981068*c_1001_9^6 + 69969117/35924272*c_1001_9^5 + 37831825/35924272*c_1001_9^4 + 13292559/8981068*c_1001_9^3 - 26478157/35924272*c_1001_9^2 + 489533/154846*c_1001_9 - 5979969/8981068, c_0101_9 - 66713361/143697088*c_1001_9^10 + 168610525/143697088*c_1001_9^9 - 224691181/143697088*c_1001_9^8 + 64805333/71848544*c_1001_9^7 - 12641451/17962136*c_1001_9^6 - 124033751/143697088*c_1001_9^5 - 103955041/143697088*c_1001_9^4 + 4478205/35924272*c_1001_9^3 - 89321309/143697088*c_1001_9^2 - 1345089/1238768*c_1001_9 + 2660057/35924272, c_0110_5 - 5509023/4955072*c_1001_9^10 + 16121641/4955072*c_1001_9^9 - 22020011/4955072*c_1001_9^8 + 2939035/1238768*c_1001_9^7 - 2923551/2477536*c_1001_9^6 - 6647343/4955072*c_1001_9^5 - 3387947/4955072*c_1001_9^4 - 1084677/2477536*c_1001_9^3 - 894113/4955072*c_1001_9^2 - 4697239/1238768*c_1001_9 + 1129365/1238768, c_1001_2 + 21438417/143697088*c_1001_9^10 - 43523915/143697088*c_1001_9^9 + 55288541/143697088*c_1001_9^8 - 790133/4490534*c_1001_9^7 + 8047931/71848544*c_1001_9^6 + 70284749/143697088*c_1001_9^5 + 68642685/143697088*c_1001_9^4 + 49054957/71848544*c_1001_9^3 - 31146533/143697088*c_1001_9^2 + 1088749/1238768*c_1001_9 - 4412871/35924272, c_1001_9^11 - 38/13*c_1001_9^10 + 54/13*c_1001_9^9 - 35/13*c_1001_9^8 + 22/13*c_1001_9^7 + 15/13*c_1001_9^6 + 6/13*c_1001_9^5 + 7/13*c_1001_9^4 - 7/13*c_1001_9^3 + 47/13*c_1001_9^2 - 24/13*c_1001_9 + 4/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.870 Total time: 1.080 seconds, Total memory usage: 64.12MB