Magma V2.8-10     Mon Apr  8 2002 18:03:06 on modular  [Seed = 3107427865]
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Loading startup file "/home/was/magma/local/init.m"

Forming extension L.
Time: 0.000
L =  Univariate Quotient Polynomial Algebra in w over Cyclotomic Field of order 37 and degree 36
with modulus w^37 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^35 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^34 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^33 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^32 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^30 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^29 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^28 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^27 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^26 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^25 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^24 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^23 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^22 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^21 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^20 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^19 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^18 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^17 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^16 - 397951139482377025177712741609695316497385537225146905069164519558759827367816*z^15 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^14 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^13 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^12 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^11 + 1043308013271809150417090498695323153095792631362883429099350371767608400203784*z^10 + 453281345181236267145694170456596752887580518039782437819337989575823897625214*z^9 + 1642559888262520802436174977647040780318296562574593002685224533085994719859703*z^8 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^7 + 987155020300395873684192072284494315727261476296223805812965362006473792003461*z^5 + 422937946274095144851355914765192796187368468424673347782850149678661221314766*z^4 - 748469965909445841121220656728096768986581374221957775796923397895739785679909*z^3 + 227554939220387001560181536043561236415684097905471324064108760413512735882211*z^2 - 1109057779204797647220483387753958150300552237984728549445619892366735836842023
Computing trace of random element (alpha = w
)
34 steps: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, Time: 2.740

Finished computing trace of random element.
Computing minimal polynomial of trace(alpha), as an element of K[X]