csage.server.notebook.notebook
Notebook
q)q}q(U_Notebook__worksheetsq}qU _scratch_q(csage.server.notebook.worksheet
Worksheet
qoq}q (U_Worksheet__filenameq
U _scratch_qU_Worksheet__cellsq]q
((csage.server.notebook.cell
Cell
qoq}q(U _Cell__inqUFactorization(902384029384)qU_Cell__introspect_htmlqU!
qU_Cell__worksheetqhU_Cell__completionsqU_Cell__introspectqU_Cell__out_htmlqU U _Cell__idqK U_before_preparseqUnos.chdir("/home/was/talks/2006-08-14-ccr-sage/magma/worksheets/_scratch_/cells/0")
Factorization(902384029384)qU
_Cell__dirqU"magma/worksheets/_scratch_/cells/0qU
_Cell__outqU[ <2, 3>, <112798003673, 1> ]qUhas_new_outputq U_Cell__sageq!csage.interfaces.sage0
reduce_load_Sage
q")Rq#U_Cell__is_htmlq$U_Cell__typeq%Uwrapq&U_Cell__timeq'U_Cell__interruptedq(ub(hoq)}q*(hU+R := PolynomialRing(RationalField(),2)q+hU!q,hhhhhU hKhU~os.chdir("/home/was/talks/2006-08-14-ccr-sage/magma/worksheets/_scratch_/cells/1")
R := PolynomialRing(RationalField(),2)q-hU"magma/worksheets/_scratch_/cells/1q.hU h h!h#h$h%h&h'h(ub(hoq/}q0(hUf := (x-y)^7; fq1hU!q2hhhhhU hKhUbos.chdir("/home/was/talks/2006-08-14-ccr-sage/magma/worksheets/_scratch_/cells/2")
f := (x-y)^7; fq3hU"magma/worksheets/_scratch_/cells/2q4hUQx^7 - 7*x^6*y + 21*x^5*y^2 - 35*x^4*y^3 + 35*x^3*y^4 - 21*x^2*y^5 + 7*x*y^6 - y^7q5h h!h#h$h%h&h'h(ub(hoq6}q7(hU#E := EllipticCurve([0,0,1,-1,0]); Eq8hU!q9hhhhhU hKhUvos.chdir("/home/was/talks/2006-08-14-ccr-sage/magma/worksheets/_scratch_/cells/3")
E := EllipticCurve([0,0,1,-1,0]); Eq:hU"magma/worksheets/_scratch_/cells/3q;hU?Elliptic Curve defined by y^2 + y = x^3 - x over Rational Fieldq(hUGenerators(MordellWeilGroup(E))q?hU!q@hhhhhU hKU_word_being_completedqAUmagma.TorsionSuqBhUros.chdir("/home/was/talks/2006-08-14-ccr-sage/magma/worksheets/_scratch_/cells/4")
Generators(MordellWeilGroup(E))qChU"magma/worksheets/_scratch_/cells/4qDhU {
$.1
}qEh h!h#h$h%h&h'h(ub(hoqF}qG(hU hhhhU hKhU"magma/worksheets/_scratch_/cells/5qHhU h h%h&h(ubeU_Worksheet__synchroqIKU_Worksheet__comp_is_runningqJU_Worksheet__dirqKUmagma/worksheets/_scratch_qLU_Worksheet__attachedqM}qNU_Worksheet__queueqO]qPU_Worksheet__next_idqQKU_Worksheet__nameqRU _scratch_qSU_Worksheet__next_block_idqTKU_Worksheet__notebookqUhU_Worksheet__idqVK U_Worksheet__systemqWUmagmaqXubsU_Notebook__historyqY]qZ(Um# Worksheet '_scratch_' (2006-08-15 at 08:54)
sage: Factorization(902384029384)
[ <2, 3>, <112798003673, 1> ]q[T # Worksheet '_scratch_' (2006-08-15 at 08:54)
sage: R = PolynomialRing(RationalField(),2)
...
RuntimeError: Error evaluation Magma code.
IN:R = PolynomialRing(RationalField(),2);
OUT:
>> R = PolynomialRing(RationalField(),2);
^
User error: bad syntaxq\U`# Worksheet '_scratch_' (2006-08-15 at 08:54)
sage: R := PolynomialRing(RationalField(),2)
q]U# Worksheet '_scratch_' (2006-08-15 at 08:54)
sage: f := (x-y)^7; f
x^7 - 7*x^6*y + 21*x^5*y^2 - 35*x^4*y^3 + 35*x^3*y^4 - 21*x^2*y^5 + 7*x*y^6 - y^7q^Tr # Worksheet '_scratch_' (2006-08-15 at 08:55)
sage: E := EllipticCurve(CremonaDatabase(), "37A")
...
RuntimeError: Error evaluation Magma code.
IN:E := EllipticCurve(CremonaDatabase(), "37A");
OUT:
>> E := EllipticCurve(CremonaDatabase(), "37A");
^
Runtime error in 'CremonaDatabase': The file GetLibraryRoot()/data/ECTable.d...q_U# Worksheet '_scratch_' (2006-08-15 at 08:59)
sage: E := EllipticCurve([0,1,0,-1,0]); E
Elliptic Curve defined by y^2 = x^3 + x^2 - x over Rational Fieldq`U# Worksheet '_scratch_' (2006-08-15 at 08:59)
sage: E := EllipticCurve([0,0,1,-1,0]); E
Elliptic Curve defined by y^2 + y = x^3 - x over Rational FieldqaU_# Worksheet '_scratch_' (2006-08-15 at 09:01)
sage: TorsionSubgroup(E)
Abelian Group of order 1qbU# Worksheet '_scratch_' (2006-08-15 at 09:02)
sage: MordellWeilGroup(E)
Abelian Group isomorphic to Z
Defined on 1 generator (free)qcU]# Worksheet '_scratch_' (2006-08-15 at 09:02)
sage: Generators(MordellWeilGroup(E))
{
$.1
}qdT # Worksheet '_scratch_' (2006-08-15 at 09:02)
html> This is a MAGMA GUI
...
RuntimeError: Error evaluation Magma code.
IN:%html
This is a MAGMA GUI
;
OUT:%: bad command
>> This is a MAGMA GUI
;
^
User error: bad syntaxqeeU_Notebook__defaultsqf}qg(Ucell_output_colorqhU#0000EEqiUmax_history_lengthqjMUcell_input_colorqkU#0000000qlUword_wrap_colsqmKduU_Notebook__worksheet_dirqnUmagma/worksheetsqoU_Notebook__filenameqpU
magma/nb.sobjqqU_Notebook__default_worksheetqrhU_Notebook__next_worksheet_idqsKU_default_filenameqtU1/home/was/talks/2006-08-14-ccr-sage/magma/nb.sobjquU_Notebook__systemqvhXU_Notebook__show_debugqwU_Notebook__dirqxhXU_Notebook__authqyU:U_Notebook__colorqzNU_Notebook__object_dirq{U
magma/objectsq|ub.