@Kitonum Thank you! Now I'm trying to solve a higher order system, and I do have the same number of equations as variables, but this result is returned and I can't figure out why:
restart;
eqn1 := W__1 + W__2 + W__3 + W__4 + W__5 + W__6 + W__7 + W__8 + W__9 = 4;
eqn2 := W__1*zeta__1 + W__2*zeta__2 + W__3*zeta__3 + W__4*zeta__4 + W__5*zeta__5 + W__6*zeta__6 + W__7*zeta__7 + W__8*zeta__8 + W__9*zeta__9 = 0;
eqn3 := W__1*zeta__1^2 + W__2*zeta__2^2 + W__3*zeta__3^2 + W__4*zeta__4^2 + W__5*zeta__5^2 + W__6*zeta__6^2 + W__7*zeta__7^2 + W__8*zeta__8^2 + W__9*zeta__9^2 = 2/3;
eqn4 := W__1*zeta__1^3 + W__2*zeta__2^3 + W__3*zeta__3^3 + W__4*zeta__4^3 + W__5*zeta__5^3 + W__6*zeta__6^3 + W__7*zeta__7^3 + W__8*zeta__8^3 + W__9*zeta__9^3 = 0;
eqn5 := W__1*zeta__1^4 + W__2*zeta__2^4 + W__3*zeta__3^4 + W__4*zeta__4^4 + W__5*zeta__5^4 + W__6*zeta__6^4 + W__7*zeta__7^4 + W__8*zeta__8^4 + W__9*zeta__9^4 = 2/5;
eqn6 := W__1*zeta__1^5 + W__2*zeta__2^5 + W__3*zeta__3^5 + W__4*zeta__4^5 + W__5*zeta__5^5 + W__6*zeta__6^5 + W__7*zeta__7^5 + W__8*zeta__8^5 + W__9*zeta__9^5 = 0;
eqn7 := W__1*zeta__1^6 + W__2*zeta__2^6 + W__3*zeta__3^6 + W__4*zeta__4^6 + W__5*zeta__5^6 + W__6*zeta__6^6 + W__7*zeta__7^6 + W__8*zeta__8^6 + W__9*zeta__9^6 = 2/7;
eqn8 := W__1*zeta__1^7 + W__2*zeta__2^7 + W__3*zeta__3^7 + W__4*zeta__4^7 + W__5*zeta__5^7 + W__6*zeta__6^7 + W__7*zeta__7^7 + W__8*zeta__8^7 + W__9*zeta__9^7 = 0;
eqn1 := W__1 + W__2 + W__3 + W__4 + W__5 + W__6 + W__7 + W__8
+ W__9 = 4
eqn2 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7 + W__8 zeta__8
+ W__9 zeta__9 = 0
2 2 2
eqn3 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
2 2 2
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
2 2 2 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = -
3
3 3 3
eqn4 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
3 3 3
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
3 3 3
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
4 4 4
eqn5 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
4 4 4
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
4 4 4 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = -
5
5 5 5
eqn6 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
5 5 5
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
5 5 5
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
6 6 6
eqn7 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
6 6 6
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
6 6 6 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = -
7
7 7 7
eqn8 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
7 7 7
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
7 7 7
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
eqn9 := W__1*zeta__1^8 + W__2*zeta__2^8 + W__3*zeta__3^8 + W__4*zeta__4^8 + W__5*zeta__5^8 + W__6*zeta__6^8 + W__7*zeta__7^8 + W__8*zeta__8^8 + W__9*zeta__9^8 = 2/9;
8 8 8
eqn9 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
8 8 8
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
8 8 8 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = -
9
eqn10 := W__1*zeta__1^9 + W__2*zeta__2^9 + W__3*zeta__3^9 + W__4*zeta__4^9 + W__5*zeta__5^9 + W__6*zeta__6^9 + W__7*zeta__7^9 + W__8*zeta__8^9 + W__9*zeta__9^9 = 0;
9 9 9
eqn10 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
9 9 9
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
9 9 9
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
eqn11 := W__1*zeta__1^10 + W__2*zeta__2^10 + W__3*zeta__3^10 + W__4*zeta__4^10 + W__5*zeta__5^10 + W__6*zeta__6^10 + W__7*zeta__7^10 + W__8*zeta__8^10 + W__9*zeta__9^10 = 2/11;
10 10 10
eqn11 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
10 10 10
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
10 10 10 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = --
11
eqn12 := W__1*zeta__1^11 + W__2*zeta__2^11 + W__3*zeta__3^11 + W__4*zeta__4^11 + W__5*zeta__5^11 + W__6*zeta__6^11 + W__7*zeta__7^11 + W__8*zeta__8^11 + W__9*zeta__9^11 = 0;
11 11 11
eqn12 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
11 11 11
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
11 11 11
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
eqn13 := W__1*zeta__1^12 + W__2*zeta__2^12 + W__3*zeta__3^12 + W__4*zeta__4^12 + W__5*zeta__5^12 + W__6*zeta__6^12 + W__7*zeta__7^12 + W__8*zeta__8^12 + W__9*zeta__9^12 = 2/13;
12 12 12
eqn13 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
12 12 12
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
12 12 12 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = --
13
eqn14 := W__1*zeta__1^13 + W__2*zeta__2^13 + W__3*zeta__3^13 + W__4*zeta__4^13 + W__5*zeta__5^13 + W__6*zeta__6^13 + W__7*zeta__7^13 + W__8*zeta__8^13 + W__9*zeta__9^13 = 0;
13 13 13
eqn14 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
13 13 13
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
13 13 13
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
eqn15 := W__1*zeta__1^14 + W__2*zeta__2^14 + W__3*zeta__3^14 + W__4*zeta__4^14 + W__5*zeta__5^14 + W__6*zeta__6^14 + W__7*zeta__7^14 + W__8*zeta__8^14 + W__9*zeta__9^14 = 2/15;
14 14 14
eqn15 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
14 14 14
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
14 14 14 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = --
15
eqn16 := W__1*zeta__1^15 + W__2*zeta__2^15 + W__3*zeta__3^15 + W__4*zeta__4^15 + W__5*zeta__5^15 + W__6*zeta__6^15 + W__7*zeta__7^15 + W__8*zeta__8^15 + W__9*zeta__9^15 = 0;
15 15 15
eqn16 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
15 15 15
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
15 15 15
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
eqn17 := W__1*zeta__1^16 + W__2*zeta__2^16 + W__3*zeta__3^16 + W__4*zeta__4^16 + W__5*zeta__5^16 + W__6*zeta__6^16 + W__7*zeta__7^16 + W__8*zeta__8^16 + W__9*zeta__9^16 = 2/17;
16 16 16
eqn17 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
16 16 16
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
16 16 16 2
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = --
17
eqn18 := W__1*zeta__1^17 + W__2*zeta__2^17 + W__3*zeta__3^17 + W__4*zeta__4^17 + W__5*zeta__5^17 + W__6*zeta__6^17 + W__7*zeta__7^17 + W__8*zeta__8^17 + W__9*zeta__9^17 = 0;
17 17 17
eqn18 := W__1 zeta__1 + W__2 zeta__2 + W__3 zeta__3
17 17 17
+ W__4 zeta__4 + W__5 zeta__5 + W__6 zeta__6
17 17 17
+ W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0
fsolve({eqn1, eqn10, eqn11, eqn12, eqn13, eqn14, eqn15, eqn16, eqn17, eqn18, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7, eqn8, eqn9}, {W__1, W__2, W__3, W__4, W__5, W__6, W__7, W__8, W__9, zeta__1, zeta__2, zeta__3, zeta__4, zeta__5, zeta__6, zeta__7, zeta__8, zeta__9});
/ /
fsolve|{
\ \
W__1 + W__2 + W__3 + W__4 + W__5 + W__6 + W__7 + W__8 + W__9 = 4, W__1
8 8 8 8
zeta__1 + W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
8 8 8
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
8 8 2 9
+ W__8 zeta__8 + W__9 zeta__9 = -, W__1 zeta__1
9
9 9 9
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
9 9 9
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
9 9 10
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
10 10 10
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
10 10 10
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
10 10 2 11
+ W__8 zeta__8 + W__9 zeta__9 = --, W__1 zeta__1
11
11 11 11
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
11 11 11
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
11 11 12
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
12 12 12
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
12 12 12
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
12 12 2 13
+ W__8 zeta__8 + W__9 zeta__9 = --, W__1 zeta__1
13
13 13 13
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
13 13 13
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
13 13 14
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
14 14 14
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
14 14 14
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
14 14 2 15
+ W__8 zeta__8 + W__9 zeta__9 = --, W__1 zeta__1
15
15 15 15
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
15 15 15
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
15 15 16
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
16 16 16
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
16 16 16
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
16 16 2 17
+ W__8 zeta__8 + W__9 zeta__9 = --, W__1 zeta__1
17
17 17 17
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
17 17 17
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
17 17
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4 + W__5 zeta__5
+ W__6 zeta__6 + W__7 zeta__7 + W__8 zeta__8 + W__9 zeta__9 = 0, W__1
2 2 2 2
zeta__1 + W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
2 2 2
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
2 2 2 3
+ W__8 zeta__8 + W__9 zeta__9 = -, W__1 zeta__1
3
3 3 3
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
3 3 3
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
3 3 4
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
4 4 4
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
4 4 4
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
4 4 2 5
+ W__8 zeta__8 + W__9 zeta__9 = -, W__1 zeta__1
5
5 5 5
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
5 5 5
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
5 5 6
+ W__8 zeta__8 + W__9 zeta__9 = 0, W__1 zeta__1
6 6 6
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
6 6 6
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
6 6 2 7
+ W__8 zeta__8 + W__9 zeta__9 = -, W__1 zeta__1
7
7 7 7
+ W__2 zeta__2 + W__3 zeta__3 + W__4 zeta__4
7 7 7
+ W__5 zeta__5 + W__6 zeta__6 + W__7 zeta__7
7 7 \
+ W__8 zeta__8 + W__9 zeta__9 = 0 }, {W__1, W__2, W__3,
/
W__4, W__5, W__6, W__7, W__8, W__9, zeta__1, zeta__2, zeta__3,
\
zeta__4, zeta__5, zeta__6, zeta__7, zeta__8, zeta__9}|
/
