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KASH3 Reference Manual




KANT was developed at the University of Duesseldorf from 1987 until 1993 and at Technische Universitaet Berlin afterwards. During these years the performance of existing algorithms and their implementations grew dramatically. While calculations in number fields of degree 4 and greater were nearly impossible before 1970 and number fields of degree more than 10 were beyond reach until 1990, it is now possible to compute in number fields of degree well over 20, and -- in special cases -- even beyond 1000. This also characterizes one of the principles of KANT, namely to support computations in number fields of arbitrary degree rather than fixing the degree and pushing the size of the discriminant to the limit.

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