Magma V2.19-8 Wed Aug 21 2013 01:00:52 on localhost [Seed = 3886152712] Type ? for help. Type -D to quit. Loading file "L13n9870__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9870 geometric_solution 11.72121698 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 1 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 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 0.090079809256 0.610796241026 0 5 7 6 0132 0132 0132 0132 2 1 1 2 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 -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 0.578031778567 0.990513862135 8 0 10 9 0132 0132 0132 0132 2 0 1 2 0 0 0 0 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 0 -1 3 0 -2 -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 0.652634041511 0.967840938969 11 11 9 0 0132 2310 2310 0132 2 1 1 2 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 -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 0.652634041511 0.967840938969 6 12 0 5 0132 0132 0132 0132 2 1 1 2 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 -1 0 0 0 0 0 0 -1 0 1 -4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578031778567 0.990513862135 11 1 4 10 2103 0132 0132 0321 2 1 2 1 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 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 0.090079809256 0.610796241026 4 12 1 7 0132 0213 0132 3120 2 1 2 1 0 1 0 -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 3 0 -3 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882601661659 0.557194996956 6 12 12 1 3120 0321 1302 0132 2 1 2 2 0 -1 1 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 -4 4 0 0 0 1 -1 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413985205641 0.475410349978 2 11 10 9 0132 2103 2103 2103 2 0 2 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 0 0 0 0 0 0 0 0 -3 0 2 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.521054308515 0.710265199604 10 3 2 8 2103 3201 0132 2103 2 0 2 1 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 -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 1.521054308515 0.710265199604 8 5 9 2 2103 0321 2103 0132 2 0 2 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 0 0 0 0 0 0 -2 0 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 0.328515977079 0.915320583242 3 8 5 3 0132 2103 2103 3201 2 1 2 1 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 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 0.328515977079 0.915320583242 7 4 6 7 2031 0132 0213 0321 2 2 2 1 0 0 -1 1 -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 -3 4 -4 0 4 0 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413985205641 0.475410349978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_1001_3']), 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_3_10' : 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_0'], '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' : 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_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' : negation(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' : d['c_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0101_2']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0101_2']), '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' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), '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' : negation(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_12']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_12'], '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' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : 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' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_1, c_1001_12, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 249913440255729075693824521/546304251254084963483648*c_1001_3^10 + 11043909955949710122110089/19510866116217320124416*c_1001_3^9 - 56471960168160693374736305/17072007851690155108864*c_1001_3^8 - 6224020970184925649078881801/546304251254084963483648*c_1001_3^7 - 2958992960764274408736119873/273152125627042481741824*c_1001_3^6 + 283282116903842624986751433/273152125627042481741824*c_1001_3^5 + 4093561134886488721022020207/546304251254084963483648*c_1001_3^4 + 62303027324108901557231073/68288031406760620435456*c_1001_3^3 - 207987159975519506498388729/68288031406760620435456*c_1001_3^2 + 6944296734754736181599763/8536003925845077554432*c_1001_3 - 1522819458856339063568445/34144015703380310217728, c_0011_0 - 1, c_0011_10 + 80379814933848053/33343765335332334197*c_1001_3^10 - 195238267370089367/4763395047904619171*c_1001_3^9 + 4664063713754173798/33343765335332334197*c_1001_3^8 - 12641482317945551888/33343765335332334197*c_1001_3^7 - 7279396920989873698/33343765335332334197*c_1001_3^6 + 12916500934173388169/33343765335332334197*c_1001_3^5 + 14593536874688583769/33343765335332334197*c_1001_3^4 - 20564403275941754674/33343765335332334197*c_1001_3^3 - 430581897996939051/33343765335332334197*c_1001_3^2 + 26255256990180597051/33343765335332334197*c_1001_3 + 635499838641106443/33343765335332334197, c_0011_12 - 7360317739253510842459/304857283065895626944*c_1001_3^10 + 3778148538986439579127/76214320766473906736*c_1001_3^9 - 15308839178972789425005/76214320766473906736*c_1001_3^8 - 139546328835796075732059/304857283065895626944*c_1001_3^7 - 14274085372819136573575/152428641532947813472*c_1001_3^6 + 70821184790893430149161/152428641532947813472*c_1001_3^5 + 83041543104248719423141/304857283065895626944*c_1001_3^4 - 11715665815884113522645/38107160383236953368*c_1001_3^3 - 13417749343354129294459/76214320766473906736*c_1001_3^2 + 3714725498706793950493/19053580191618476684*c_1001_3 - 200199724273143375609/4763395047904619171, c_0011_7 + 1177119073094362225609079/4268001962922538777216*c_1001_3^10 - 151269833965706402784109/304857283065895626944*c_1001_3^9 + 2325540499567510055310213/1067000490730634694304*c_1001_3^8 + 24580587689537724612676479/4268001962922538777216*c_1001_3^7 + 2797644164994311580241031/1067000490730634694304*c_1001_3^6 - 9464030584967451673827307/2134000981461269388608*c_1001_3^5 - 18132109738465608827289821/4268001962922538777216*c_1001_3^4 + 4425675202330332023957239/2134000981461269388608*c_1001_3^3 + 2425508032432305815828317/1067000490730634694304*c_1001_3^2 - 812584092997568332118079/533500245365317347152*c_1001_3 + 16471483959493835947663/66687530670664668394, c_0011_9 - 1, c_0101_0 - 1, c_0101_1 - 12337426428906740812913/4268001962922538777216*c_1001_3^10 + 1922159629140129131919/304857283065895626944*c_1001_3^9 - 26443842907232480669311/1067000490730634694304*c_1001_3^8 - 221072313208122161307049/4268001962922538777216*c_1001_3^7 - 4090296697318019077075/1067000490730634694304*c_1001_3^6 + 122194837335962760296589/2134000981461269388608*c_1001_3^5 + 111864282308587127708875/4268001962922538777216*c_1001_3^4 - 82429547505125708393829/2134000981461269388608*c_1001_3^3 - 13599466127910101810223/1067000490730634694304*c_1001_3^2 + 14834929372439321020089/533500245365317347152*c_1001_3 - 570862238866256153311/66687530670664668394, c_0101_10 - 5903841922152766609597/2134000981461269388608*c_1001_3^10 + 460435746923289643231/76214320766473906736*c_1001_3^9 - 1589084212332705797207/66687530670664668394*c_1001_3^8 - 105038468954413831858685/2134000981461269388608*c_1001_3^7 - 4934622205465992704345/1067000490730634694304*c_1001_3^6 + 57611626829426760324613/1067000490730634694304*c_1001_3^5 + 54713523465585894567531/2134000981461269388608*c_1001_3^4 - 2440286971250810527889/66687530670664668394*c_1001_3^3 - 4040444687565444526241/266750122682658673576*c_1001_3^2 + 800921922770938140922/33343765335332334197*c_1001_3 - 1023414131675124969309/133375061341329336788, c_0101_2 - 1, c_0101_3 + 80379814933848053/33343765335332334197*c_1001_3^10 - 195238267370089367/4763395047904619171*c_1001_3^9 + 4664063713754173798/33343765335332334197*c_1001_3^8 - 12641482317945551888/33343765335332334197*c_1001_3^7 - 7279396920989873698/33343765335332334197*c_1001_3^6 + 12916500934173388169/33343765335332334197*c_1001_3^5 + 14593536874688583769/33343765335332334197*c_1001_3^4 - 20564403275941754674/33343765335332334197*c_1001_3^3 - 430581897996939051/33343765335332334197*c_1001_3^2 + 26255256990180597051/33343765335332334197*c_1001_3 + 635499838641106443/33343765335332334197, c_1001_1 + 81200317413861292657/4268001962922538777216*c_1001_3^10 - 22842568196133517583/304857283065895626944*c_1001_3^9 + 268916542960124312415/1067000490730634694304*c_1001_3^8 - 3243669498334742999/4268001962922538777216*c_1001_3^7 - 444244796574720749485/1067000490730634694304*c_1001_3^6 - 717638952888251993421/2134000981461269388608*c_1001_3^5 + 312057040041304236725/4268001962922538777216*c_1001_3^4 - 1914465324834465852763/2134000981461269388608*c_1001_3^3 - 1862423280459074953201/1067000490730634694304*c_1001_3^2 - 554583756665574364425/533500245365317347152*c_1001_3 + 167930982799989449/66687530670664668394, c_1001_12 + 12337426428906740812913/4268001962922538777216*c_1001_3^10 - 1922159629140129131919/304857283065895626944*c_1001_3^9 + 26443842907232480669311/1067000490730634694304*c_1001_3^8 + 221072313208122161307049/4268001962922538777216*c_1001_3^7 + 4090296697318019077075/1067000490730634694304*c_1001_3^6 - 122194837335962760296589/2134000981461269388608*c_1001_3^5 - 111864282308587127708875/4268001962922538777216*c_1001_3^4 + 82429547505125708393829/2134000981461269388608*c_1001_3^3 + 13599466127910101810223/1067000490730634694304*c_1001_3^2 - 14834929372439321020089/533500245365317347152*c_1001_3 + 570862238866256153311/66687530670664668394, c_1001_3^11 - 788/361*c_1001_3^10 + 3104/361*c_1001_3^9 + 339/19*c_1001_3^8 + 554/361*c_1001_3^7 - 7074/361*c_1001_3^6 - 3295/361*c_1001_3^5 + 4832/361*c_1001_3^4 + 1896/361*c_1001_3^3 - 3136/361*c_1001_3^2 + 1104/361*c_1001_3 - 128/361 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB