10816.2-a1
10816.2-a
1 1 1
1 1 1
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
10816.2
2 6 ⋅ 1 3 2 2^{6} \cdot 13^{2} 2 6 ⋅ 1 3 2
2 6 ⋅ 1 3 2 2^{6} \cdot 13^{2} 2 6 ⋅ 1 3 2
1.82257 1.82257 1 . 8 2 2 5 7
( a + 1 ) , ( − 3 a − 2 ) , ( 2 a + 3 ) (a+1), (-3a-2), (2a+3) ( a + 1 ) , ( − 3 a − 2 ) , ( 2 a + 3 )
1 1 1
t r i v i a l \mathsf{trivial} t r i v i a l
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
✓
1 1 1
1 1 1
0.235482478 0.235482478 0 . 2 3 5 4 8 2 4 7 8
6.475162751 6.475162751 6 . 4 7 5 1 6 2 7 5 1
3.049574742
− 8 13 -\frac{8}{13} − 1 3 8
[ i + 1 \bigl[i + 1 [ i + 1 , 0 0 0 , i + 1 i + 1 i + 1 , − i -i − i , 0 ] 0\bigr] 0 ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 − i x {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x} y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 − i x
10816.2-b1
10816.2-b
2 2 2
5 5 5
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
10816.2
2 6 ⋅ 1 3 2 2^{6} \cdot 13^{2} 2 6 ⋅ 1 3 2
2 6 ⋅ 1 3 6 2^{6} \cdot 13^{6} 2 6 ⋅ 1 3 6
1.82257 1.82257 1 . 8 2 2 5 7
( a + 1 ) , ( − 3 a − 2 ) , ( 2 a + 3 ) (a+1), (-3a-2), (2a+3) ( a + 1 ) , ( − 3 a − 2 ) , ( 2 a + 3 )
0
t r i v i a l \mathsf{trivial} t r i v i a l
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
5 5 5
5B
1 1 1
1 1 1
1 1 1
2.650069237 2.650069237 2 . 6 5 0 0 6 9 2 3 7
2.650069237
− 335147200 371293 a + 809589576 371293 -\frac{335147200}{371293} a + \frac{809589576}{371293} − 3 7 1 2 9 3 3 3 5 1 4 7 2 0 0 a + 3 7 1 2 9 3 8 0 9 5 8 9 5 7 6
[ i + 1 \bigl[i + 1 [ i + 1 , − i − 1 -i - 1 − i − 1 , i + 1 i + 1 i + 1 , 6 i + 3 6 i + 3 6 i + 3 , − 4 i + 5 ] -4 i + 5\bigr] − 4 i + 5 ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + ( − i − 1 ) x 2 + ( 6 i + 3 ) x − 4 i + 5 {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(6i+3\right){x}-4i+5 y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + ( − i − 1 ) x 2 + ( 6 i + 3 ) x − 4 i + 5
10816.2-b2
10816.2-b
2 2 2
5 5 5
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
10816.2
2 6 ⋅ 1 3 2 2^{6} \cdot 13^{2} 2 6 ⋅ 1 3 2
2 6 ⋅ 1 3 6 2^{6} \cdot 13^{6} 2 6 ⋅ 1 3 6
1.82257 1.82257 1 . 8 2 2 5 7
( a + 1 ) , ( − 3 a − 2 ) , ( 2 a + 3 ) (a+1), (-3a-2), (2a+3) ( a + 1 ) , ( − 3 a − 2 ) , ( 2 a + 3 )
0
t r i v i a l \mathsf{trivial} t r i v i a l
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
5 5 5
5B
1 1 1
1 1 1
1 1 1
2.650069237 2.650069237 2 . 6 5 0 0 6 9 2 3 7
2.650069237
335147200 371293 a + 809589576 371293 \frac{335147200}{371293} a + \frac{809589576}{371293} 3 7 1 2 9 3 3 3 5 1 4 7 2 0 0 a + 3 7 1 2 9 3 8 0 9 5 8 9 5 7 6
[ i + 1 \bigl[i + 1 [ i + 1 , − 1 -1 − 1 , i + 1 i + 1 i + 1 , − 8 i + 3 -8 i + 3 − 8 i + 3 , 3 i + 5 ] 3 i + 5\bigr] 3 i + 5 ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 − x 2 + ( − 8 i + 3 ) x + 3 i + 5 {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-{x}^{2}+\left(-8i+3\right){x}+3i+5 y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 − x 2 + ( − 8 i + 3 ) x + 3 i + 5