error("inconsistent addition t_MAT (1x1) + t_MAT (0x1).")
error("impossible inverse in gdiv: [Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(0,
2)].")
[0, 2]
1
1
[[;], [;]]
[[], [;]]
*** at top-level: mathouseholder(1,1)
*** ^-------------------
*** mathouseholder: incorrect type in mathouseholder (t_INT).
*** at top-level: mathouseholder(q,1)
*** ^-------------------
*** mathouseholder: incorrect type in mathouseholder (t_INT).
[-3.3612877988091253174761851599065654319, -3.976856899758389008450416890680
9665041, 2.9389389601206943824942150128578581054, 1.772259568771888526939788
0627029321445, -0.93302137188052358042404010605293659373, -0.441231719485000
70444920875205386881091, -0.19040285081078176048183742278228946814, 0.075729
288512033916496344069514741014185, 0.027956052637213235642340429324234659900
, 0.0096284368977104218404148935213290063312, -0.003106198327161964249988204
5902715205667, -0.00094157426540918912117035392430195067794, -0.000268854775
30463015261353875607132041931, -7.2459011321751905080067220992031631462 E-5,
1.8462089149768956890169300433744512910 E-5, 4.4528901897458304967947732271
708068875 E-6, 1.0176789800383226364895152347151747510 E-6, 2.20552412091014
57554655197057289803706 E-7, -4.5349036687475247266974601071424129857 E-8, -
8.8492541140723057133731328535614376294 E-9, -1.6389333061355481368271925736
504820724 E-9, -2.8805272156166119158730325675280896976 E-10, -4.80266664969
65909745773739693929989064 E-11, 7.5916176882374260025503147422014772958 E-1
2, -1.1367331397963498149955520074031835155 E-12, -1.61050664103939094109404
49194291021230 E-13, 2.1558223640276402145487596709860808075 E-14, 2.7214689
692178509667012624472480322726 E-15, -3.232659043848202709644832083123995151
3 E-16, -2.9855883849239760043478182416536329854 E-17, -1.664898755959816497
7470350196661697536 E-17, 2.8771625420725328021428672070297279667 E-18, -1.0
319233712195941381068955784281641143 E-18, 1.6356182814790027911170768841203
266890 E-18, 8.0811640833543317283367798799396420333 E-19, -1.05792311976124
33100847548785453343223 E-19, 3.1212834491595151717446703076475681855 E-20,
-6.2236951167032034426610950988624421246 E-20, -4.30278526231190452813726222
95990239750 E-20, -2.7525464198315767914815519496564758696 E-20]~
[;]
[1]
[1 2 3]
[2 3 4]
[1 1]
[1 5]
[1 0]
[0 1]
error("incorrect type in diagonal (t_MAT).")
[1 0 0 0 0]
[1 1 0 0 0]
[1 3/2 1 0 0]
[1 7/4 7/4 1 0]
[1 15/8 35/16 15/8 1]
[ 4 6]
[10 12]
[0 -2]
[2 4]
[0 0]
[Mod(0, 2) Mod(0, 2)]
[Mod(0, 2) Mod(0, 2)]
[Mod(0, 2) Mod(0, 2)]
[Mod(0, 7) Mod(5, 7)]
[Mod(2, 7) Mod(4, 7)]
[Mod(0, 7) Mod(0, 7)]
[Mod(0, 18446744073709551629) Mod(18446744073709551627, 18446744073709551629
)]
[Mod(2, 18446744073709551629) Mod(4, 18446744073709551629
)]
[Mod(0, 18446744073709551629) Mod(0, 18446744073709551629
)]
[Mod(0, 3037000507) Mod(3037000505, 3037000507)]
[Mod(2, 3037000507) Mod(4, 3037000507)]
[Mod(0, 3037000507) Mod(0, 3037000507)]
[Mod(0, 2), Mod(0, 2), Mod(0, 2)]~
[Mod(0, 7), Mod(2, 7), Mod(0, 7)]~
[Mod(0, 18446744073709551629), Mod(2, 18446744073709551629), Mod(0, 18446744
073709551629)]~
[Mod(0, 3037000507), Mod(2, 3037000507), Mod(0, 3037000507)]~
matdet:
Mod(1, 2)
Mod(1, 7)
Mod(29, 3037000507)
Mod(29, 18446744073709551629)
29 + O(101^3)
matrank:
3
3
3
3
3
matadjoint:
[Mod(1, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(1, 2), Mod(1, 2); Mod(0, 2)
, Mod(1, 2), Mod(0, 2)]
[Mod(6, 7), Mod(0, 7), Mod(1, 7); Mod(6, 7), Mod(3, 7), Mod(1, 7); Mod(1, 7)
, Mod(2, 7), Mod(1, 7)]
[Mod(69, 3037000507), Mod(14, 3037000507), Mod(3037000473, 3037000507); Mod(
3037000499, 3037000507), Mod(3, 3037000507), Mod(1, 3037000507); Mod(3037000
501, 3037000507), Mod(3037000502, 3037000507), Mod(8, 3037000507)]
[Mod(69, 18446744073709551629), Mod(14, 18446744073709551629), Mod(184467440
73709551595, 18446744073709551629); Mod(18446744073709551621, 18446744073709
551629), Mod(3, 18446744073709551629), Mod(1, 18446744073709551629); Mod(184
46744073709551623, 18446744073709551629), Mod(18446744073709551624, 18446744
073709551629), Mod(8, 18446744073709551629)]
[69 + O(101^3), 14 + O(101^3), 67 + 100*101 + 100*101^2 + O(101^3); 93 + 100
*101 + 100*101^2 + O(101^3), 3 + O(101^3), 1 + O(101^3); 95 + 100*101 + 100*
101^2 + O(101^3), 96 + 100*101 + 100*101^2 + O(101^3), 8 + O(101^3)]
matimage:
[Mod(1, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(0, 2), Mod(1, 2); Mod(0, 2)
, Mod(1, 2), Mod(1, 2)]
[Mod(1, 7), Mod(2, 7), Mod(4, 7); Mod(2, 7), Mod(5, 7), Mod(0, 7); Mod(2, 7)
, Mod(2, 7), Mod(4, 7)]
[Mod(1, 3037000507), Mod(2, 3037000507), Mod(4, 3037000507); Mod(2, 30370005
07), Mod(12, 3037000507), Mod(7, 3037000507); Mod(2, 3037000507), Mod(9, 303
7000507), Mod(11, 3037000507)]
[Mod(1, 18446744073709551629), Mod(2, 18446744073709551629), Mod(4, 18446744
073709551629); Mod(2, 18446744073709551629), Mod(12, 18446744073709551629),
Mod(7, 18446744073709551629); Mod(2, 18446744073709551629), Mod(9, 184467440
73709551629), Mod(11, 18446744073709551629)]
[1 + O(101^3), 2 + O(101^3), 4 + O(101^3); 2 + O(101^3), 12 + O(101^3), 7 +
O(101^3); 2 + O(101^3), 9 + O(101^3), 11 + O(101^3)]
matimagecompl:
Vecsmall([])
Vecsmall([])
Vecsmall([])
Vecsmall([])
Vecsmall([])
matindexrank:
[Vecsmall([1, 2, 3]), Vecsmall([1, 2, 3])]
[Vecsmall([1, 2, 3]), Vecsmall([1, 2, 3])]
[Vecsmall([1, 2, 3]), Vecsmall([1, 2, 3])]
[Vecsmall([1, 2, 3]), Vecsmall([1, 2, 3])]
[Vecsmall([1, 2, 3]), Vecsmall([1, 2, 3])]
matker:
[;]
[;]
[;]
[;]
[;]
lindep:
[]~
[]~
[]~
[]~
[]~
(x)->matsolve(x,vectorv(#x,i,i)):
[Mod(1, 2), Mod(1, 2), Mod(0, 2)]~
[Mod(2, 7), Mod(1, 7), Mod(1, 7)]~
[Mod(2827552196, 3037000507), Mod(1256689865, 3037000507), Mod(942517399, 30
37000507)]~
[Mod(16538460204015460081, 18446744073709551629), Mod(11449703218164549287,
18446744073709551629), Mod(17810649450478187780, 18446744073709551629)]~
[66 + 69*101 + 62*101^2 + O(101^3), 7 + 87*101 + 27*101^2 + O(101^3), 56 + 9
0*101 + 20*101^2 + O(101^3)]~
(x)->matsolve(x,matrix(#x,#x,i,j,i+j)):
[Mod(0, 2), Mod(1, 2), Mod(0, 2); Mod(1, 2), Mod(1, 2), Mod(1, 2); Mod(1, 2)
, Mod(0, 2), Mod(1, 2)]
[Mod(2, 7), Mod(2, 7), Mod(2, 7); Mod(4, 7), Mod(0, 7), Mod(3, 7); Mod(5, 7)
, Mod(2, 7), Mod(6, 7)]
[Mod(628344934, 3037000507), Mod(1466138179, 3037000507), Mod(2303931424, 30
37000507); Mod(2303931419, 3037000507), Mod(314172466, 3037000507), Mod(1361
414020, 3037000507); Mod(209448311, 3037000507), Mod(2513379730, 3037000507)
, Mod(1780310642, 3037000507)]
[Mod(5724851609082274645, 18446744073709551629), Mod(13357987087858640838, 1
8446744073709551629), Mod(2544378492925455402, 18446744073709551629); Mod(25
44378492925455397, 18446744073709551629), Mod(12085797841395913136, 18446744
073709551629), Mod(3180473116156819246, 18446744073709551629); Mod(190828386
9694091548, 18446744073709551629), Mod(4452662362619546945, 1844674407370955
1629), Mod(6997040855545002342, 18446744073709551629)]
[5 + 94*101 + 13*101^2 + O(101^3), 45 + 17*101 + 66*101^2 + O(101^3), 85 + 4
1*101 + 17*101^2 + O(101^3); 80 + 41*101 + 17*101^2 + O(101^3), 52 + 97*101
+ 6*101^2 + O(101^3), 24 + 52*101 + 97*101^2 + O(101^3); 35 + 31*101 + 38*10
1^2 + O(101^3), 14 + 73*101 + 55*101^2 + O(101^3), 94 + 13*101 + 73*101^2 +
O(101^3)]
(x)->x^(-1):
[Mod(1, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(1, 2), Mod(1, 2); Mod(0, 2)
, Mod(1, 2), Mod(0, 2)]
[Mod(6, 7), Mod(0, 7), Mod(1, 7); Mod(6, 7), Mod(3, 7), Mod(1, 7); Mod(1, 7)
, Mod(2, 7), Mod(1, 7)]
[Mod(1675586489, 3037000507), Mod(2408655575, 3037000507), Mod(2827552195, 3
037000507); Mod(2094483108, 3037000507), Mod(733069088, 3037000507), Mod(125
6689865, 3037000507); Mod(1570862331, 3037000507), Mod(2827552196, 303700050
7), Mod(942517399, 3037000507)]
[Mod(15266270957552732385, 18446744073709551629), Mod(12721892464627276986,
18446744073709551629), Mod(16538460204015460080, 18446744073709551629); Mod(
636094623231363849, 18446744073709551629), Mod(15902365580784096232, 1844674
4073709551629), Mod(11449703218164549287, 18446744073709551629); Mod(5088756
985850910794, 18446744073709551629), Mod(16538460204015460081, 1844674407370
9551629), Mod(17810649450478187780, 18446744073709551629)]
[79 + 48*101 + 3*101^2 + O(101^3), 98 + 6*101 + 87*101^2 + O(101^3), 65 + 69
*101 + 62*101^2 + O(101^3); 45 + 10*101 + 80*101^2 + O(101^3), 21 + 59*101 +
83*101^2 + O(101^3), 7 + 87*101 + 27*101^2 + O(101^3); 59 + 83*101 + 34*101
^2 + O(101^3), 66 + 69*101 + 62*101^2 + O(101^3), 56 + 90*101 + 20*101^2 + O
(101^3)]
(x)->x^2:
[Mod(1, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(1, 2), Mod(1, 2); Mod(0, 2)
, Mod(1, 2), Mod(0, 2)]
[Mod(6, 7), Mod(6, 7), Mod(6, 7); Mod(5, 7), Mod(1, 7), Mod(1, 7); Mod(0, 7)
, Mod(1, 7), Mod(3, 7)]
[Mod(13, 3037000507), Mod(62, 3037000507), Mod(62, 3037000507); Mod(40, 3037
000507), Mod(211, 3037000507), Mod(169, 3037000507); Mod(42, 3037000507), Mo
d(211, 3037000507), Mod(192, 3037000507)]
[Mod(13, 18446744073709551629), Mod(62, 18446744073709551629), Mod(62, 18446
744073709551629); Mod(40, 18446744073709551629), Mod(211, 184467440737095516
29), Mod(169, 18446744073709551629); Mod(42, 18446744073709551629), Mod(211,
18446744073709551629), Mod(192, 18446744073709551629)]
[13 + O(101^3), 62 + O(101^3), 62 + O(101^3); 40 + O(101^3), 9 + 2*101 + O(1
01^3), 68 + 101 + O(101^3); 42 + O(101^3), 9 + 2*101 + O(101^3), 91 + 101 +
O(101^3)]
(x)->A*x:
[Mod(1, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(1, 2), Mod(1, 2); Mod(0, 2)
, Mod(1, 2), Mod(0, 2)]
[Mod(6, 7), Mod(6, 7), Mod(6, 7); Mod(5, 7), Mod(1, 7), Mod(1, 7); Mod(0, 7)
, Mod(1, 7), Mod(3, 7)]
[Mod(13, 3037000507), Mod(62, 3037000507), Mod(62, 3037000507); Mod(40, 3037
000507), Mod(211, 3037000507), Mod(169, 3037000507); Mod(42, 3037000507), Mo
d(211, 3037000507), Mod(192, 3037000507)]
[Mod(13, 18446744073709551629), Mod(62, 18446744073709551629), Mod(62, 18446
744073709551629); Mod(40, 18446744073709551629), Mod(211, 184467440737095516
29), Mod(169, 18446744073709551629); Mod(42, 18446744073709551629), Mod(211,
18446744073709551629), Mod(192, 18446744073709551629)]
[13 + O(101^3), 62 + O(101^3), 62 + O(101^3); 40 + O(101^3), 9 + 2*101 + O(1
01^3), 68 + 101 + O(101^3); 42 + O(101^3), 9 + 2*101 + O(101^3), 91 + 101 +
O(101^3)]
[;]
matdet:
1
1
1
1
1
matrank:
0
0
0
0
0
matadjoint:
[;]
[;]
[;]
[;]
[;]
matimage:
[;]
[;]
[;]
[;]
[;]
matimagecompl:
Vecsmall([])
Vecsmall([])
Vecsmall([])
Vecsmall([])
Vecsmall([])
matindexrank:
[Vecsmall([]), Vecsmall([])]
[Vecsmall([]), Vecsmall([])]
[Vecsmall([]), Vecsmall([])]
[Vecsmall([]), Vecsmall([])]
[Vecsmall([]), Vecsmall([])]
matker:
[;]
[;]
[;]
[;]
[;]
lindep:
[]~
[]~
[]~
[]~
[]~
(x)->matsolve(x,vectorv(#x,i,i)):
[]~
[]~
[]~
[]~
[]~
(x)->matsolve(x,matrix(#x,#x,i,j,i+j)):
[;]
[;]
[;]
[;]
[;]
(x)->x^(-1):
[;]
[;]
[;]
[;]
[;]
(x)->x^2:
[;]
[;]
[;]
[;]
[;]
(x)->A*x:
[;]
[;]
[;]
[;]
[;]
Mod(3037000506, 3037000507)
Mod(18446744073709551628, 18446744073709551629)
[Mod(3, 18446744073709551629), Mod(1, 18446744073709551629), Mod(18446744073
709551628, 18446744073709551629)]~
*** at top-level: matsolve([1,0;0,0]*Mod(1,2),[1,1]~)
*** ^-----------------------------------
*** matsolve: impossible inverse in gauss: [Mod(1, 2), Mod(0, 2); Mod(0, 2), Mod(0, 2)].
*** at top-level: matsolve([1,0;0,0]*Mod(1,3),[1,1]~)
*** ^-----------------------------------
*** matsolve: impossible inverse in gauss: [Mod(1, 3), Mod(0, 3); Mod(0, 3), Mod(0, 3)].
[1 2]
[3 4]
[2 4]
[6 8]
[Mod(1, 2) Mod(0, 2)]
[Mod(1, 2) Mod(0, 2)]
[Mod(1, 3) Mod(2, 3)]
[Mod(0, 3) Mod(1, 3)]
[Mod(1, 18446744073709551629) Mod(2, 18446744073709551629)]
[Mod(3, 18446744073709551629) Mod(4, 18446744073709551629)]
[1 0]
[1 0]
[-1.0000000000000000000000000000000000000*I]
[ 1]
[-1]
[ 1]
3
0
error("inconsistent dimensions in gtrace.")
[1 0]
[0 1]
[;]
19009323
[2 0]
[0 2]
[1 0]
[0 1]
lindep:
[1, 0, 1]~
[1, -2, 1]~
[1, -2, 1]~
[1, -2, 1]~
[3 + O(101^3), 95 + 100*101 + 100*101^2 + O(101^3), 3 + O(101^3)]~
matsupplement:
[Mod(1, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(1, 2), Mod(0, 2); Mod(1, 2)
, Mod(0, 2), Mod(1, 2)]
[Mod(1, 7), Mod(2, 7), Mod(0, 7); Mod(4, 7), Mod(5, 7), Mod(0, 7); Mod(0, 7)
, Mod(1, 7), Mod(1, 7)]
[Mod(1, 3037000507), Mod(2, 3037000507), Mod(0, 3037000507); Mod(4, 30370005
07), Mod(5, 3037000507), Mod(0, 3037000507); Mod(7, 3037000507), Mod(8, 3037
000507), Mod(1, 3037000507)]
[Mod(1, 18446744073709551629), Mod(2, 18446744073709551629), Mod(0, 18446744
073709551629); Mod(4, 18446744073709551629), Mod(5, 18446744073709551629), M
od(0, 18446744073709551629); Mod(7, 18446744073709551629), Mod(8, 1844674407
3709551629), Mod(1, 18446744073709551629)]
[1 + O(101^3), 2 + O(101^3), 0; 4 + O(101^3), 5 + O(101^3), 0; 7 + O(101^3),
8 + O(101^3), 1]
matsupplement:
[Mod(1, 2), Mod(0, 2), Mod(0, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(1, 2)
, Mod(0, 2), Mod(0, 2), Mod(0, 2); Mod(0, 2), Mod(0, 2), Mod(1, 2), Mod(0, 2
), Mod(0, 2); Mod(0, 2), Mod(0, 2), Mod(0, 2), Mod(1, 2), Mod(0, 2); Mod(0,
2), Mod(0, 2), Mod(0, 2), Mod(0, 2), Mod(1, 2)]
[Mod(1, 7), Mod(0, 7), Mod(0, 7), Mod(0, 7), Mod(0, 7); Mod(0, 7), Mod(1, 7)
, Mod(0, 7), Mod(0, 7), Mod(0, 7); Mod(0, 7), Mod(0, 7), Mod(1, 7), Mod(0, 7
), Mod(0, 7); Mod(0, 7), Mod(0, 7), Mod(0, 7), Mod(1, 7), Mod(0, 7); Mod(0,
7), Mod(0, 7), Mod(0, 7), Mod(0, 7), Mod(1, 7)]
[Mod(1, 3037000507), Mod(0, 3037000507), Mod(0, 3037000507), Mod(0, 30370005
07), Mod(0, 3037000507); Mod(0, 3037000507), Mod(1, 3037000507), Mod(0, 3037
000507), Mod(0, 3037000507), Mod(0, 3037000507); Mod(0, 3037000507), Mod(0,
3037000507), Mod(1, 3037000507), Mod(0, 3037000507), Mod(0, 3037000507); Mod
(0, 3037000507), Mod(0, 3037000507), Mod(0, 3037000507), Mod(1, 3037000507),
Mod(0, 3037000507); Mod(0, 3037000507), Mod(0, 3037000507), Mod(0, 30370005
07), Mod(0, 3037000507), Mod(1, 3037000507)]
[Mod(1, 18446744073709551629), Mod(0, 18446744073709551629), Mod(0, 18446744
073709551629), Mod(0, 18446744073709551629), Mod(0, 18446744073709551629); M
od(0, 18446744073709551629), Mod(1, 18446744073709551629), Mod(0, 1844674407
3709551629), Mod(0, 18446744073709551629), Mod(0, 18446744073709551629); Mod
(0, 18446744073709551629), Mod(0, 18446744073709551629), Mod(1, 184467440737
09551629), Mod(0, 18446744073709551629), Mod(0, 18446744073709551629); Mod(0
, 18446744073709551629), Mod(0, 18446744073709551629), Mod(0, 18446744073709
551629), Mod(1, 18446744073709551629), Mod(0, 18446744073709551629); Mod(0,
18446744073709551629), Mod(0, 18446744073709551629), Mod(0, 1844674407370955
1629), Mod(0, 18446744073709551629), Mod(1, 18446744073709551629)]
[1, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0; 0, 0, 0, 0, 1]
*** Warning: new stack size = 1000000 (0.954 Mbytes).
68
2
68
[-2/3 -2/3]
[-7/9 -7/9]
[ 1 0]
[ 0 1]
0
2
17
*** at top-level: vecsum(1)
*** ^---------
*** vecsum: incorrect type in vecsum (t_INT).
1
6
*** at top-level: 1~
*** ^--
*** _~: incorrect type in gtrans (t_INT).
0
0
0
Vecsmall([0, 0, 0])
Vecsmall([3, 12, 27])
3
0
Vecsmall([2, 2, 0, -4, -10])
2
*** at top-level: vectorsmall(3,i,i^100)
*** ^------
*** overflow in t_INT-->long assignment.
[1 0 0]
[0 0 1]
[1 0 0]
[0 0 1]
[1 0 0]
[0 0 1]
[1 0]
[1 0]
[1 2]
[0 1]
[1 2]
[3 4]
[1 0 0]
[0 0 1]
[1 0 0]
[0 0 1]
[1 0 0]
[0 0 1]
*** at top-level: m[1,]=[1,2]
*** ^-----------
*** inconsistent dimensions in matrix row assignment.
*** at top-level: m[1,]=[1,2,3,4]
*** ^---------------
*** inconsistent dimensions in matrix row assignment.
*** at top-level: m[1,]=[1,2,3]~
*** ^--------------
*** incorrect type in matrix row assignment (t_COL).
[1, 2, 3]
[1 2 3]
[1 2 3]
[2, 4, 6]
[2 4 6]
[1 2 3]
[;]
[;]
[;]
[;]
[;]
*** Warning: new stack size = 8000000 (7.629 Mbytes).
[0 -1 0]
[0 1 1]
[ -2 1 0]
[3/2 -1/2 0]
*** at top-level: [1,2,3;4,5,6]^-1
*** ^---
*** _^_: impossible inverse in ginv: [1, 2, 3; 4, 5, 6].
*** at top-level: [1,2,3;4,5,6;7,8,9]^-1
*** ^---
*** _^_: impossible inverse in ZM_inv: [1, 2, 3; 4, 5, 6; 7, 8, 9].
[;]
*** at top-level: 1/Mat([0,0]~)
*** ^------------
*** _/_: impossible inverse in ZM_inv: [0; 0].
Total time spent: 962