Magma V2.19-8 Tue Aug 20 2013 16:16:46 on localhost [Seed = 2033771953] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1052 geometric_solution 4.92686849 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 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 -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 -0.375379061916 2.997074187011 0 4 0 4 0132 0132 2310 2310 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.535845961485 0.684955255941 5 3 6 0 0132 1023 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.118985193914 0.716386347699 2 5 0 6 1023 3201 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 -0.118985193914 0.716386347699 1 1 4 4 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434686640064 0.051742861732 2 5 3 5 0132 2310 2310 3201 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 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225621288391 1.358421207182 6 6 3 2 1302 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.275196806291 0.564250327432 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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' : d['1'], 's_2_6' : 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_0_6' : 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_1100_6' : d['c_1100_0'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_2, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 3599956037543/167930590237*c_1100_0^15 + 24597864885565/167930590237*c_1100_0^14 + 1342943005262/167930590237*c_1100_0^13 - 209404389596836/167930590237*c_1100_0^12 - 365204603198145/167930590237*c_1100_0^11 + 1299050255760002/167930590237*c_1100_0^10 + 977470325962981/167930590237*c_1100_0^9 - 2971221248846409/167930590237*c_1100_0^8 - 1202175846361987/167930590237*c_1100_0^7 + 3000539640655611/167930590237*c_1100_0^6 + 946979811540488/167930590237*c_1100_0^5 - 1303253591982364/167930590237*c_1100_0^4 - 412543279716195/167930590237*c_1100_0^3 + 172922220865804/167930590237*c_1100_0^2 + 62674298553828/167930590237*c_1100_0 + 6301226952296/167930590237, c_0011_0 - 1, c_0011_2 + 1339839279082/167930590237*c_1100_0^15 + 9867771907982/167930590237*c_1100_0^14 + 5822176162674/167930590237*c_1100_0^13 - 74501233547370/167930590237*c_1100_0^12 - 176412192301710/167930590237*c_1100_0^11 + 386440793697474/167930590237*c_1100_0^10 + 570242097225770/167930590237*c_1100_0^9 - 770257410052613/167930590237*c_1100_0^8 - 903215835165274/167930590237*c_1100_0^7 + 606869028350433/167930590237*c_1100_0^6 + 760855176003908/167930590237*c_1100_0^5 - 92903975477937/167930590237*c_1100_0^4 - 257804554025939/167930590237*c_1100_0^3 - 52273518936299/167930590237*c_1100_0^2 + 9429441324202/167930590237*c_1100_0 + 2132323610468/167930590237, c_0011_6 - 156040306735/167930590237*c_1100_0^15 - 1223966552047/167930590237*c_1100_0^14 - 1151818323744/167930590237*c_1100_0^13 + 8853008684128/167930590237*c_1100_0^12 + 24615016193821/167930590237*c_1100_0^11 - 39372028806794/167930590237*c_1100_0^10 - 94549231969976/167930590237*c_1100_0^9 + 85643243251599/167930590237*c_1100_0^8 + 157757468014157/167930590237*c_1100_0^7 - 73586017066171/167930590237*c_1100_0^6 - 129528238757033/167930590237*c_1100_0^5 + 11535000593274/167930590237*c_1100_0^4 + 42470024878179/167930590237*c_1100_0^3 + 6799628718041/167930590237*c_1100_0^2 - 1823070568442/167930590237*c_1100_0 - 102315889534/167930590237, c_0101_0 - 489514539848/167930590237*c_1100_0^15 - 3633225423015/167930590237*c_1100_0^14 - 2334849222825/167930590237*c_1100_0^13 + 27084474066925/167930590237*c_1100_0^12 + 65993912121819/167930590237*c_1100_0^11 - 137386395622926/167930590237*c_1100_0^10 - 216157516476786/167930590237*c_1100_0^9 + 268944058058200/167930590237*c_1100_0^8 + 344462252222823/167930590237*c_1100_0^7 - 199491853904478/167930590237*c_1100_0^6 - 289726384481053/167930590237*c_1100_0^5 + 13562625532937/167930590237*c_1100_0^4 + 96824192048258/167930590237*c_1100_0^3 + 26379409710158/167930590237*c_1100_0^2 - 2710293614148/167930590237*c_1100_0 - 1120089375058/167930590237, c_0101_2 - 517568072254/167930590237*c_1100_0^15 - 3763137276608/167930590237*c_1100_0^14 - 1912986669684/167930590237*c_1100_0^13 + 28837998445287/167930590237*c_1100_0^12 + 65431223801174/167930590237*c_1100_0^11 - 154436174840830/167930590237*c_1100_0^10 - 204016858943629/167930590237*c_1100_0^9 + 310510503579191/167930590237*c_1100_0^8 + 316150077524415/167930590237*c_1100_0^7 - 251596188087049/167930590237*c_1100_0^6 - 267357308707356/167930590237*c_1100_0^5 + 51195480185333/167930590237*c_1100_0^4 + 92901337493467/167930590237*c_1100_0^3 + 14105747165135/167930590237*c_1100_0^2 - 4277533761056/167930590237*c_1100_0 - 544128848239/167930590237, c_0110_4 - 1789886009322/167930590237*c_1100_0^15 - 13413542134346/167930590237*c_1100_0^14 - 9333716498938/167930590237*c_1100_0^13 + 99513606036235/167930590237*c_1100_0^12 + 248574060260072/167930590237*c_1100_0^11 - 493846821322471/167930590237*c_1100_0^10 - 842704994202548/167930590237*c_1100_0^9 + 980860873242139/167930590237*c_1100_0^8 + 1368312616975588/167930590237*c_1100_0^7 - 753313655259372/167930590237*c_1100_0^6 - 1152801099960875/167930590237*c_1100_0^5 + 73892913390763/167930590237*c_1100_0^4 + 386606770385495/167930590237*c_1100_0^3 + 89286124168899/167930590237*c_1100_0^2 - 13414386336514/167930590237*c_1100_0 - 3565949698707/167930590237, c_1100_0^16 + 8*c_1100_0^15 + 9*c_1100_0^14 - 53*c_1100_0^13 - 167*c_1100_0^12 + 206*c_1100_0^11 + 611*c_1100_0^10 - 312*c_1100_0^9 - 1043*c_1100_0^8 + 38*c_1100_0^7 + 859*c_1100_0^6 + 282*c_1100_0^5 - 239*c_1100_0^4 - 159*c_1100_0^3 - 17*c_1100_0^2 + 6*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB