Magma V2.19-8 Tue Aug 20 2013 18:08:49 on localhost [Seed = 1275983597] Type ? for help. Type -D to quit. Loading file "10^2_143__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_143 geometric_solution 14.79512008 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 1 2 3 0132 1230 0132 0132 1 1 0 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 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 0.267786863643 0.642259237022 0 4 0 5 0132 0132 3012 0132 1 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 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 0.446957578216 1.326415340259 6 7 8 0 0132 0132 0132 0132 1 1 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 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 0.597722917194 1.262772340100 9 9 0 7 0132 1302 0132 1023 1 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696948354775 0.924666641726 10 1 7 10 0132 0132 2103 2031 1 1 0 1 0 -1 1 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 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 0.320063433437 0.976572755166 8 6 1 7 2103 2103 0132 3012 1 1 1 1 0 -1 0 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 1 0 -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 0.229032288251 0.718946345580 2 5 11 12 0132 2103 0132 0132 1 1 1 1 0 -1 0 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 1 0 -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 0.348736062091 0.625053572013 4 2 5 3 2103 0132 1230 1023 1 1 1 1 0 0 0 0 -1 0 1 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 -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 0.577439910486 0.675107255583 13 14 5 2 0132 0132 2103 0132 1 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 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 0.348736062091 0.625053572013 3 12 10 3 0132 3120 2031 2031 1 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320063433437 0.976572755166 4 4 14 9 0132 1302 0321 1302 1 1 1 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 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 0.696948354775 0.924666641726 13 14 14 6 3120 0321 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.598500904120 1.019273214463 13 9 6 13 2103 3120 0132 3201 1 1 0 1 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 1 -1 0 0 -1 1 -1 -1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598500904120 1.019273214463 8 12 12 11 0132 2310 2103 3120 0 1 1 1 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 1 1 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 0.598500904120 1.019273214463 11 8 10 11 2310 0132 0321 0321 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 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 0.598500904120 1.019273214463 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0101_9'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_0101_4'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : d['c_0011_5'], 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0110_7'], 'c_1010_14' : d['c_0011_5'], 's_0_10' : negation(d['1']), 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_12'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0101_10']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(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_0011_14' : d['c_0011_13'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : negation(d['c_0011_13']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0110_5']), 'c_1100_14' : d['c_0101_10'], 'c_1100_9' : negation(d['c_0110_7']), 'c_1100_11' : negation(d['c_0011_13']), 'c_1100_10' : d['c_0101_9'], 'c_1100_13' : negation(d['c_0011_11']), 's_3_10' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_4']), 's_0_13' : negation(d['1']), 'c_1010_3' : d['c_0110_7'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : negation(d['c_0110_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_13']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_3_11' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_13']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0101_0'], 'c_0110_12' : d['c_0011_11'], 'c_0110_14' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0011_0']), 'c_0101_12' : d['c_0101_12'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_2_8' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], '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_9'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_13, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_9, c_0110_5, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 238064855133/13271444*c_1001_0^9 - 8015047382403/53085776*c_1001_0^8 + 62406729924041/106171552*c_1001_0^7 - 1194127062599171/849372416*c_1001_0^6 + 242476927928507/106171552*c_1001_0^5 - 2197028357449651/849372416*c_1001_0^4 + 106577932589859/53085776*c_1001_0^3 - 863165840718377/849372416*c_1001_0^2 + 257551183605153/849372416*c_1001_0 - 8695799740049/212343104, c_0011_0 - 1, c_0011_11 - 11868/17371*c_1001_0^9 + 424789/17371*c_1001_0^8 - 5575341/34742*c_1001_0^7 + 149106449/277936*c_1001_0^6 - 315556925/277936*c_1001_0^5 + 227593505/138968*c_1001_0^4 - 224982057/138968*c_1001_0^3 + 293135733/277936*c_1001_0^2 - 28199819/69484*c_1001_0 + 1231793/17371, c_0011_12 + 169614624/3317861*c_1001_0^9 - 1359445112/3317861*c_1001_0^8 + 5160680932/3317861*c_1001_0^7 - 24455141159/6635722*c_1001_0^6 + 19868869433/3317861*c_1001_0^5 - 45413710331/6635722*c_1001_0^4 + 18029118868/3317861*c_1001_0^3 - 18965067463/6635722*c_1001_0^2 + 5975870807/6635722*c_1001_0 - 437329485/3317861, c_0011_13 + 175655780/3317861*c_1001_0^9 - 1378707019/3317861*c_1001_0^8 + 10284673947/6635722*c_1001_0^7 - 191869441503/53085776*c_1001_0^6 + 306876221471/53085776*c_1001_0^5 - 172285268493/26542888*c_1001_0^4 + 133927191187/26542888*c_1001_0^3 - 136918982339/53085776*c_1001_0^2 + 2583298517/3317861*c_1001_0 - 346932827/3317861, c_0011_2 - c_1001_0 + 1, c_0011_5 - 10068056/3317861*c_1001_0^9 + 56625810/3317861*c_1001_0^8 - 140670829/3317861*c_1001_0^7 + 1470274573/26542888*c_1001_0^6 - 590662995/26542888*c_1001_0^5 - 352810809/6635722*c_1001_0^4 + 1416447357/13271444*c_1001_0^3 - 2475062811/26542888*c_1001_0^2 + 564512117/13271444*c_1001_0 - 31281976/3317861, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 169614624/3317861*c_1001_0^9 - 1359445112/3317861*c_1001_0^8 + 5160680932/3317861*c_1001_0^7 - 24455141159/6635722*c_1001_0^6 + 19868869433/3317861*c_1001_0^5 - 45413710331/6635722*c_1001_0^4 + 18029118868/3317861*c_1001_0^3 - 18965067463/6635722*c_1001_0^2 + 5975870807/6635722*c_1001_0 - 437329485/3317861, c_0101_12 + 10068056/3317861*c_1001_0^9 - 56625810/3317861*c_1001_0^8 + 140670829/3317861*c_1001_0^7 - 1470274573/26542888*c_1001_0^6 + 590662995/26542888*c_1001_0^5 + 352810809/6635722*c_1001_0^4 - 1416447357/13271444*c_1001_0^3 + 2475062811/26542888*c_1001_0^2 - 564512117/13271444*c_1001_0 + 31281976/3317861, c_0101_4 - 31469680/3317861*c_1001_0^9 + 225554708/3317861*c_1001_0^8 - 771265178/3317861*c_1001_0^7 + 6610725665/13271444*c_1001_0^6 - 9677518021/13271444*c_1001_0^5 + 4908490791/6635722*c_1001_0^4 - 3390941997/6635722*c_1001_0^3 + 3029355197/13271444*c_1001_0^2 - 201523608/3317861*c_1001_0 + 23453973/3317861, c_0101_9 - 31469680/3317861*c_1001_0^9 + 225554708/3317861*c_1001_0^8 - 771265178/3317861*c_1001_0^7 + 6610725665/13271444*c_1001_0^6 - 9677518021/13271444*c_1001_0^5 + 4908490791/6635722*c_1001_0^4 - 3390941997/6635722*c_1001_0^3 + 3029355197/13271444*c_1001_0^2 - 201523608/3317861*c_1001_0 + 23453973/3317861, c_0110_5 + c_1001_0 - 1, c_0110_7 - 76401456/3317861*c_1001_0^9 + 575948804/3317861*c_1001_0^8 - 2069979466/3317861*c_1001_0^7 + 18651454565/13271444*c_1001_0^6 - 28832584603/13271444*c_1001_0^5 + 7809668954/3317861*c_1001_0^4 - 11711920569/6635722*c_1001_0^3 + 11610070793/13271444*c_1001_0^2 - 1741101713/6635722*c_1001_0 + 121554210/3317861, c_1001_0^10 - 35/4*c_1001_0^9 + 291/8*c_1001_0^8 - 6071/64*c_1001_0^7 + 10975/64*c_1001_0^6 - 7129/32*c_1001_0^5 + 6675/32*c_1001_0^4 - 8811/64*c_1001_0^3 + 487/8*c_1001_0^2 - 65/4*c_1001_0 + 2 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_13, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_9, c_0110_5, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2097199/245705*c_0110_5*c_1001_0^5 - 21896424/6142625*c_0110_5*c_1001_0^4 - 10568631/245705*c_0110_5*c_1001_0^3 - 102416624/6142625*c_0110_5*c_1001_0^2 + 4136163/245705*c_0110_5*c_1001_0 + 86036344/6142625*c_0110_5 + 17191774/6142625*c_1001_0^5 - 21468313/6142625*c_1001_0^4 + 54420099/6142625*c_1001_0^3 - 133619513/6142625*c_1001_0^2 - 208004444/6142625*c_1001_0 - 95048547/6142625, c_0011_0 - 1, c_0011_11 - 1/5*c_0110_5*c_1001_0^5 + 1/5*c_0110_5*c_1001_0^4 - 4/5*c_0110_5*c_1001_0^3 + c_0110_5*c_1001_0^2 + 7/5*c_0110_5*c_1001_0 + 1/5*c_0110_5 - 2/5*c_1001_0^5 - 9/5*c_1001_0^3 + 6/5*c_1001_0, c_0011_12 + 1/5*c_0110_5*c_1001_0^5 + 1/5*c_0110_5*c_1001_0^4 + c_0110_5*c_1001_0^3 + c_0110_5*c_1001_0^2 - 4/5*c_0110_5*c_1001_0 - 4/5*c_0110_5 - 2/5*c_1001_0^4 - 9/5*c_1001_0^2 + 1/5, c_0011_13 + 1/5*c_1001_0^4 + 7/5*c_1001_0^2 - 3/5, c_0011_2 - c_0110_5 + 1/5*c_1001_0^4 + 7/5*c_1001_0^2 + 2*c_1001_0 - 3/5, c_0011_5 - 3/5*c_0110_5*c_1001_0^5 - 16/5*c_0110_5*c_1001_0^3 - 1/5*c_0110_5*c_1001_0 - c_1001_0, c_0101_0 - 1, c_0101_1 + 1/5*c_0110_5*c_1001_0^5 + 1/5*c_0110_5*c_1001_0^4 + 6/5*c_0110_5*c_1001_0^3 + 6/5*c_0110_5*c_1001_0^2 + 4/5*c_0110_5*c_1001_0 + 4/5*c_0110_5, c_0101_10 - 2/5*c_0110_5*c_1001_0^5 - 2/5*c_0110_5*c_1001_0^4 - 2*c_0110_5*c_1001_0^3 - 2*c_0110_5*c_1001_0^2 + 3/5*c_0110_5*c_1001_0 + 3/5*c_0110_5 + 1/5*c_1001_0^4 + 7/5*c_1001_0^2 - 3/5, c_0101_12 - 3/5*c_0110_5*c_1001_0^5 - 16/5*c_0110_5*c_1001_0^3 - 1/5*c_0110_5*c_1001_0 + 2/5*c_1001_0^4 + 14/5*c_1001_0^2 - 6/5, c_0101_4 - 1/5*c_0110_5*c_1001_0^4 - 7/5*c_0110_5*c_1001_0^2 + 3/5*c_0110_5 - 2*c_1001_0 + 1, c_0101_9 + 1/5*c_0110_5*c_1001_0^4 + 7/5*c_0110_5*c_1001_0^2 - 3/5*c_0110_5 - 2/5*c_1001_0^5 - 14/5*c_1001_0^3 + c_1001_0^2 - 4/5*c_1001_0 + 1, c_0110_5^2 - 1/5*c_0110_5*c_1001_0^4 - 7/5*c_0110_5*c_1001_0^2 - 2*c_0110_5*c_1001_0 + 3/5*c_0110_5 + c_1001_0^2 - 2*c_1001_0 + 1, c_0110_7 - 4/5*c_1001_0^5 + 2/5*c_1001_0^4 - 23/5*c_1001_0^3 + 14/5*c_1001_0^2 - 3/5*c_1001_0 + 4/5, c_1001_0^6 + 5*c_1001_0^4 - 2*c_1001_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.970 Total time: 2.189 seconds, Total memory usage: 64.12MB