p = 60161
x^16 + 1500
p = 25343
x^16 + 43*x^8 + 25342
p = 36097
x^16 + 20
p = 9473
x^16 + 88
p = 60161
x^16 + 1500
p = 49919
x^16 + 126*x^8 + 49918
p = 36607
x^16 + 105*x^8 + 36606
p = 257
x^16 + 3
p = 769
x^16 + 7
p = 1279
x^16 + 20*x^8 + 1278
p = 3329
x^16 + 17
p = 6911
x^16 + 36*x^8 + 6910
p = 7937
x^16 + 71
p = 8447
x^16 + 145*x^8 + 8446
p = 9473
x^16 + 88
p = 11519
x^16 + 70*x^8 + 11518
p = 13567
x^16 + 169*x^8 + 13566
p = 14081
x^16 + 26
p = 14591
x^16 + 90*x^8 + 14590
p = 14593
x^16 + 141
p = 16127
x^16 + 203*x^8 + 16126
p = 21247
x^16 + 135*x^8 + 21246
p = 22271
x^16 + 51*x^8 + 22270
p = 22273
x^16 + 281
p = 22783
x^16 + 351*x^8 + 22782
p = 23297
x^16 + 43
p = 25343
x^16 + 43*x^8 + 25342
p = 26879
x^16 + 277*x^8 + 26878
p = 26881
x^16 + 412
p = 28927
x^16 + 168*x^8 + 28926
p = 30977
x^16 + 430
p = 31489
x^16 + 296
p = 33023
x^16 + 323*x^8 + 33022
p = 36097
x^16 + 20
p = 36607
x^16 + 105*x^8 + 36606
p = 37633
x^16 + 178
p = 39679
x^16 + 268*x^8 + 39678
p = 40193
x^16 + 1018
p = 41729
x^16 + 89
p = 42239
x^16 + 1382*x^8 + 42238
p = 42751
x^16 + 118*x^8 + 42750
p = 43777
x^16 + 403
p = 45823
x^16 + 319*x^8 + 45822
p = 46337
x^16 + 208
p = 48383
x^16 + 282*x^8 + 48382
p = 49409
x^16 + 914
p = 49919
x^16 + 126*x^8 + 49918
p = 49921
x^16 + 373
p = 53503
x^16 + 293*x^8 + 53502
p = 57089
x^16 + 192
p = 57601
x^16 + 68
p = 58111
x^16 + 260*x^8 + 58110
p = 60161
x^16 + 1500
p = 62207
x^16 + 76*x^8 + 62206
p = 63743
x^16 + 628*x^8 + 63742
p = 191
(x^4 + 5*x^2 + 190) * (x^4 + 12*x^2 + 190) * (x^4 + 18*x^2 + 190) * (x^4 + 22*x^2 + 190) * (x^4 + 32*x^2 + 190) * (x^4 + 35*x^2 + 190) * (x^4 + 38*x^2 + 190) * (x^4 + 40*x^2 + 190) * (x^4 + 45*x^2 + 190) * (x^4 + 47*x^2 + 190) * (x^4 + 51*x^2 + 190) * (x^4 + 56*x^2 + 190) * (x^4 + 59*x^2 + 190) * (x^4 + 60*x^2 + 190) * (x^4 + 64*x^2 + 190) * (x^4 + 93*x^2 + 190) * (x^4 + 98*x^2 + 190) * (x^4 + 127*x^2 + 190) * (x^4 + 131*x^2 + 190) * (x^4 + 132*x^2 + 190) * (x^4 + 135*x^2 + 190) * (x^4 + 140*x^2 + 190) * (x^4 + 144*x^2 + 190) * (x^4 + 146*x^2 + 190) * (x^4 + 151*x^2 + 190) * (x^4 + 153*x^2 + 190) * (x^4 + 156*x^2 + 190) * (x^4 + 159*x^2 + 190) * (x^4 + 169*x^2 + 190) * (x^4 + 173*x^2 + 190) * (x^4 + 179*x^2 + 190) * (x^4 + 186*x^2 + 190)
p = 193
(x^4 + 11) * (x^4 + 13) * (x^4 + 20) * (x^4 + 29) * (x^4 + 33) * (x^4 + 35) * (x^4 + 39) * (x^4 + 60) * (x^4 + 68) * (x^4 + 71) * (x^4 + 74) * (x^4 + 76) * (x^4 + 87) * (x^4 + 88) * (x^4 + 89) * (x^4 + 94) * (x^4 + 99) * (x^4 + 104) * (x^4 + 105) * (x^4 + 106) * (x^4 + 117) * (x^4 + 119) * (x^4 + 122) * (x^4 + 125) * (x^4 + 133) * (x^4 + 154) * (x^4 + 158) * (x^4 + 160) * (x^4 + 164) * (x^4 + 173) * (x^4 + 180) * (x^4 + 182)
p = 5119
x^16 + 7*x^8 + 5118
p = 13313
x^16 + 7
p = 15359
x^16 + 5*x^8 + 15358
p = 15361
x^16 + 84
p = 19457
x^16 + 5
p = 21503
x^16 + x^8 + 21502
p = 25601
x^16 + 31
p = 27647
x^16 + 44*x^8 + 27646
p = 33791
x^16 + 26*x^8 + 33790
p = 35839
x^16 + 129*x^8 + 35838
p = 37889
x^16 + 95
p = 39937
x^16 + 143
p = 41983
x^16 + 62*x^8 + 41982
p = 50177
x^16 + 35
p = 52223
x^16 + 174*x^8 + 52222
p = 58367
x^16 + 260*x^8 + 58366
p = 58369
x^16 + 29
p = 64513
x^16 + 156
p = 70657
x^16 + 53
p = 76801
x^16 + 231
p = 80897
x^16 + 6
p = 84991
x^16 + 203*x^8 + 84990
p = 87041
x^16 + 30
p = 89087
x^16 + 359*x^8 + 89086
p = 95231
x^16 + 3*x^8 + 95230
p = 95233
Error in lines 2-5
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1234, in execute
flags=compile_flags), namespace, locals)
File "", line 4, in <module>
File "sage/rings/polynomial/polynomial_zmod_flint.pyx", line 742, in sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint.factor (build/cythonized/sage/rings/polynomial/polynomial_zmod_flint.cpp:18685)
return factor_helper(self)
File "./sage/libs/flint/nmod_poly_linkage.pxi", line 653, in sage.rings.polynomial.polynomial_zmod_flint.factor_helper (build/cythonized/sage/rings/polynomial/polynomial_zmod_flint.cpp:6013)
return Factorization(factor_list, unit=poly.leading_coefficient(),
File "sage/rings/polynomial/polynomial_element.pyx", line 5444, in sage.rings.polynomial.polynomial_element.Polynomial.leading_coefficient (build/cythonized/sage/rings/polynomial/polynomial_element.c:44451)
return self[self.degree()]
File "sage/rings/polynomial/polynomial_element.pyx", line 1112, in sage.rings.polynomial.polynomial_element.Polynomial.__getitem__ (build/cythonized/sage/rings/polynomial/polynomial_element.c:12377)
return self.get_coeff_c(pyobject_to_long(n))
File "sage/rings/polynomial/polynomial_element.pyx", line 1120, in sage.rings.polynomial.polynomial_element.Polynomial.get_coeff_c (build/cythonized/sage/rings/polynomial/polynomial_element.c:12480)
return self.get_unsafe(i)
File "sage/rings/polynomial/polynomial_zmod_flint.pyx", line 264, in sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint.get_unsafe (build/cythonized/sage/rings/polynomial/polynomial_zmod_flint.cpp:15187)
return self._parent.base_ring()(c)
File "sage/structure/parent.pyx", line 896, in sage.structure.parent.Parent.__call__ (build/cythonized/sage/structure/parent.c:9133)
mor = <map.Map> self._internal_convert_map_from(R)
File "sage/structure/parent.pyx", line 2372, in sage.structure.parent.Parent._internal_convert_map_from (build/cythonized/sage/structure/parent.c:18755)
mor = self.discover_convert_map_from(S)
File "sage/structure/parent.pyx", line 2388, in sage.structure.parent.Parent.discover_convert_map_from (build/cythonized/sage/structure/parent.c:18948)
cdef map.Map mor = self._internal_coerce_map_from(S)
File "sage/structure/parent.pyx", line 2107, in sage.structure.parent.Parent._internal_coerce_map_from (build/cythonized/sage/structure/parent.c:16996)
if S == self:
File "sage/structure/richcmp.pyx", line 273, in sage.structure.richcmp.slot_tp_richcompare (build/cythonized/sage/structure/richcmp.c:1851)
return self.__richcmp__(other, op)
File "/ext/sage/sage-8.9_1804/local/lib/python2.7/site-packages/sage/rings/finite_rings/integer_mod_ring.py", line 1281, in __richcmp__
def __richcmp__(self, other, op):
File "src/cysignals/signals.pyx", line 320, in cysignals.signals.python_check_interrupt
KeyboardInterrupt
p = 5119
x^8 + 7*x^4 + 5118
p = 13313
x^8 + 7
p = 15359
x^8 + 5*x^4 + 15358
p = 15361
x^8 + 84
p = 19457
x^8 + 5
p = 21503
x^8 + x^4 + 21502
p = 25601
x^8 + 31
p = 27647
x^8 + 44*x^4 + 27646
p = 33791
x^8 + 26*x^4 + 33790
p = 35839
x^8 + 129*x^4 + 35838
p = 37889
x^8 + 95
p = 39937
x^8 + 143
p = 41983
x^8 + 62*x^4 + 41982
p = 50177
x^8 + 35
p = 52223
x^8 + 174*x^4 + 52222
p = 58367
x^8 + 260*x^4 + 58366
p = 58369
x^8 + 29
p = 64513
x^8 + 156
p = 70657
x^8 + 53
p = 76801
x^8 + 231
p = 80897
x^8 + 6
p = 84991
x^8 + 203*x^4 + 84990
p = 87041
x^8 + 30
p = 89087
x^8 + 359*x^4 + 89086
p = 95231
x^8 + 3*x^4 + 95230
p = 95233
Error in lines 2-5
Traceback (most recent call last):
File "/cocalc/lib/python3.9/site-packages/smc_sagews/sage_server.py", line 1234, in execute
flags=compile_flags), namespace, locals)
File "", line 4, in <module>
File "sage/rings/polynomial/polynomial_zmod_flint.pyx", line 742, in sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint.factor (build/cythonized/sage/rings/polynomial/polynomial_zmod_flint.cpp:18685)
return factor_helper(self)
File "./sage/libs/flint/nmod_poly_linkage.pxi", line 653, in sage.rings.polynomial.polynomial_zmod_flint.factor_helper (build/cythonized/sage/rings/polynomial/polynomial_zmod_flint.cpp:6013)
return Factorization(factor_list, unit=poly.leading_coefficient(),
File "sage/rings/polynomial/polynomial_element.pyx", line 5444, in sage.rings.polynomial.polynomial_element.Polynomial.leading_coefficient (build/cythonized/sage/rings/polynomial/polynomial_element.c:44451)
return self[self.degree()]
File "sage/rings/polynomial/polynomial_element.pyx", line 1112, in sage.rings.polynomial.polynomial_element.Polynomial.__getitem__ (build/cythonized/sage/rings/polynomial/polynomial_element.c:12377)
return self.get_coeff_c(pyobject_to_long(n))
File "sage/rings/polynomial/polynomial_element.pyx", line 1120, in sage.rings.polynomial.polynomial_element.Polynomial.get_coeff_c (build/cythonized/sage/rings/polynomial/polynomial_element.c:12480)
return self.get_unsafe(i)
File "sage/rings/polynomial/polynomial_zmod_flint.pyx", line 264, in sage.rings.polynomial.polynomial_zmod_flint.Polynomial_zmod_flint.get_unsafe (build/cythonized/sage/rings/polynomial/polynomial_zmod_flint.cpp:15187)
return self._parent.base_ring()(c)
File "sage/structure/parent.pyx", line 896, in sage.structure.parent.Parent.__call__ (build/cythonized/sage/structure/parent.c:9133)
mor = <map.Map> self._internal_convert_map_from(R)
File "sage/structure/parent.pyx", line 2372, in sage.structure.parent.Parent._internal_convert_map_from (build/cythonized/sage/structure/parent.c:18755)
mor = self.discover_convert_map_from(S)
File "sage/structure/parent.pyx", line 2388, in sage.structure.parent.Parent.discover_convert_map_from (build/cythonized/sage/structure/parent.c:18948)
cdef map.Map mor = self._internal_coerce_map_from(S)
File "sage/structure/parent.pyx", line 2107, in sage.structure.parent.Parent._internal_coerce_map_from (build/cythonized/sage/structure/parent.c:16996)
if S == self:
File "sage/structure/richcmp.pyx", line 273, in sage.structure.richcmp.slot_tp_richcompare (build/cythonized/sage/structure/richcmp.c:1851)
return self.__richcmp__(other, op)
File "/ext/sage/sage-8.9_1804/local/lib/python2.7/site-packages/sage/rings/finite_rings/integer_mod_ring.py", line 1281, in __richcmp__
def __richcmp__(self, other, op):
File "src/cysignals/signals.pyx", line 320, in cysignals.signals.python_check_interrupt
KeyboardInterrupt