200.2-a1
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 10 ⋅ 5 10 2^{10} \cdot 5^{10} 2 1 0 ⋅ 5 1 0
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 2 Z ⊕ Z / 4 Z \Z/2\Z\oplus\Z/4\Z Z / 2 Z ⊕ Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2Cs
1 1 1
2 5 2^{5} 2 5
1 1 1
1.498444490 1.498444490 1 . 4 9 8 4 4 4 4 9 0
0.749222245
− 35999730234 390625 a − 51700389912 390625 -\frac{35999730234}{390625} a - \frac{51700389912}{390625} − 3 9 0 6 2 5 3 5 9 9 9 7 3 0 2 3 4 a − 3 9 0 6 2 5 5 1 7 0 0 3 8 9 9 1 2
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , i + 1 i + 1 i + 1 , − 31 i − 44 -31 i - 44 − 3 1 i − 4 4 , 94 i + 106 ] 94 i + 106\bigr] 9 4 i + 1 0 6 ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − 31 i − 44 ) x + 94 i + 106 {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-31i-44\right){x}+94i+106 y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − 3 1 i − 4 4 ) x + 9 4 i + 1 0 6
200.2-a2
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 10 ⋅ 5 10 2^{10} \cdot 5^{10} 2 1 0 ⋅ 5 1 0
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 2 Z ⊕ Z / 4 Z \Z/2\Z\oplus\Z/4\Z Z / 2 Z ⊕ Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2Cs
1 1 1
2 5 2^{5} 2 5
1 1 1
1.498444490 1.498444490 1 . 4 9 8 4 4 4 4 9 0
0.749222245
35999730234 390625 a − 51700389912 390625 \frac{35999730234}{390625} a - \frac{51700389912}{390625} 3 9 0 6 2 5 3 5 9 9 9 7 3 0 2 3 4 a − 3 9 0 6 2 5 5 1 7 0 0 3 8 9 9 1 2
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , 0 0 0 , 30 i − 44 30 i - 44 3 0 i − 4 4 , − 138 i + 76 ] -138 i + 76\bigr] − 1 3 8 i + 7 6 ]
y 2 + ( i + 1 ) x y = x 3 + i x 2 + ( 30 i − 44 ) x − 138 i + 76 {y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(30i-44\right){x}-138i+76 y 2 + ( i + 1 ) x y = x 3 + i x 2 + ( 3 0 i − 4 4 ) x − 1 3 8 i + 7 6
200.2-a3
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 8 ⋅ 5 8 2^{8} \cdot 5^{8} 2 8 ⋅ 5 8
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z ⊕ Z / 4 Z \Z/4\Z\oplus\Z/4\Z Z / 4 Z ⊕ Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
✓
2 2 2
2Cs
1 1 1
2 6 2^{6} 2 6
1 1 1
2.996888981 2.996888981 2 . 9 9 6 8 8 8 9 8 1
0.749222245
237276 625 \frac{237276}{625} 6 2 5 2 3 7 2 7 6
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , 0 0 0 , − 4 -4 − 4 , − 6 i ] -6 i\bigr] − 6 i ]
y 2 + ( i + 1 ) x y = x 3 + i x 2 − 4 x − 6 i {y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}-4{x}-6i y 2 + ( i + 1 ) x y = x 3 + i x 2 − 4 x − 6 i
200.2-a4
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 11 ⋅ 5 17 2^{11} \cdot 5^{17} 2 1 1 ⋅ 5 1 7
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z \Z/4\Z Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
1 1 1
2 4 2^{4} 2 4
1 1 1
0.749222245 0.749222245 0 . 7 4 9 2 2 2 2 4 5
0.749222245
− 22845545233191 152587890625 a + 135893651813613 152587890625 -\frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} − 1 5 2 5 8 7 8 9 0 6 2 5 2 2 8 4 5 5 4 5 2 3 3 1 9 1 a + 1 5 2 5 8 7 8 9 0 6 2 5 1 3 5 8 9 3 6 5 1 8 1 3 6 1 3
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , 0 0 0 , 60 i − 34 60 i - 34 6 0 i − 3 4 , 14 i + 180 ] 14 i + 180\bigr] 1 4 i + 1 8 0 ]
y 2 + ( i + 1 ) x y = x 3 + i x 2 + ( 60 i − 34 ) x + 14 i + 180 {y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(60i-34\right){x}+14i+180 y 2 + ( i + 1 ) x y = x 3 + i x 2 + ( 6 0 i − 3 4 ) x + 1 4 i + 1 8 0
200.2-a5
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 11 ⋅ 5 17 2^{11} \cdot 5^{17} 2 1 1 ⋅ 5 1 7
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z \Z/4\Z Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
1 1 1
2 4 2^{4} 2 4
1 1 1
0.749222245 0.749222245 0 . 7 4 9 2 2 2 2 4 5
0.749222245
22845545233191 152587890625 a + 135893651813613 152587890625 \frac{22845545233191}{152587890625} a + \frac{135893651813613}{152587890625} 1 5 2 5 8 7 8 9 0 6 2 5 2 2 8 4 5 5 4 5 2 3 3 1 9 1 a + 1 5 2 5 8 7 8 9 0 6 2 5 1 3 5 8 9 3 6 5 1 8 1 3 6 1 3
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , i + 1 i + 1 i + 1 , − 61 i − 34 -61 i - 34 − 6 1 i − 3 4 , − 48 i + 240 ] -48 i + 240\bigr] − 4 8 i + 2 4 0 ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − 61 i − 34 ) x − 48 i + 240 {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-61i-34\right){x}-48i+240 y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − 6 1 i − 3 4 ) x − 4 8 i + 2 4 0
200.2-a6
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 4 ⋅ 5 4 2^{4} \cdot 5^{4} 2 4 ⋅ 5 4
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 2 Z ⊕ Z / 4 Z \Z/2\Z\oplus\Z/4\Z Z / 2 Z ⊕ Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
✓
2 2 2
2Cs
1 1 1
2 3 2^{3} 2 3
1 1 1
5.993777963 5.993777963 5 . 9 9 3 7 7 7 9 6 3
0.749222245
148176 25 \frac{148176}{25} 2 5 1 4 8 1 7 6
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , i + 1 i + 1 i + 1 , − i + 1 -i + 1 − i + 1 , i ] i\bigr] i ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − i + 1 ) x + i {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+1\right){x}+i y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − i + 1 ) x + i
200.2-a7
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 8 ⋅ 5 2 2^{8} \cdot 5^{2} 2 8 ⋅ 5 2
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z \Z/4\Z Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
✓
2 2 2
2B
1 1 1
2 2 2
1 1 1
5.993777963 5.993777963 5 . 9 9 3 7 7 7 9 6 3
0.749222245
55296 5 \frac{55296}{5} 5 5 5 2 9 6
[ 0 \bigl[0 [ 0 , 0 0 0 , 0 0 0 , − 2 -2 − 2 , 1 ] 1\bigr] 1 ]
y 2 = x 3 − 2 x + 1 {y}^2={x}^{3}-2{x}+1 y 2 = x 3 − 2 x + 1
200.2-a8
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 8 ⋅ 5 2 2^{8} \cdot 5^{2} 2 8 ⋅ 5 2
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z \Z/4\Z Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
✓
2 2 2
2B
1 1 1
2 2 2^{2} 2 2
1 1 1
2.996888981 2.996888981 2 . 9 9 6 8 8 8 9 8 1
0.749222245
132304644 5 \frac{132304644}{5} 5 1 3 2 3 0 4 6 4 4
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , i + 1 i + 1 i + 1 , − i + 26 -i + 26 − i + 2 6 , 66 i ] 66 i\bigr] 6 6 i ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − i + 26 ) x + 66 i {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+26\right){x}+66i y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − i + 2 6 ) x + 6 6 i
200.2-a9
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 11 ⋅ 5 5 2^{11} \cdot 5^{5} 2 1 1 ⋅ 5 5
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z \Z/4\Z Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
4 4 4
2 2 2^{2} 2 2
1 1 1
0.749222245 0.749222245 0 . 7 4 9 2 2 2 2 4 5
0.749222245
− 15332659200009 625 a + 5763174879987 625 -\frac{15332659200009}{625} a + \frac{5763174879987}{625} − 6 2 5 1 5 3 3 2 6 5 9 2 0 0 0 0 9 a + 6 2 5 5 7 6 3 1 7 4 8 7 9 9 8 7
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , 0 0 0 , 480 i − 694 480 i - 694 4 8 0 i − 6 9 4 , − 7778 i + 5556 ] -7778 i + 5556\bigr] − 7 7 7 8 i + 5 5 5 6 ]
y 2 + ( i + 1 ) x y = x 3 + i x 2 + ( 480 i − 694 ) x − 7778 i + 5556 {y}^2+\left(i+1\right){x}{y}={x}^{3}+i{x}^{2}+\left(480i-694\right){x}-7778i+5556 y 2 + ( i + 1 ) x y = x 3 + i x 2 + ( 4 8 0 i − 6 9 4 ) x − 7 7 7 8 i + 5 5 5 6
200.2-a10
200.2-a
10 10 1 0
16 16 1 6
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
200.2
2 3 ⋅ 5 2 2^{3} \cdot 5^{2} 2 3 ⋅ 5 2
2 11 ⋅ 5 5 2^{11} \cdot 5^{5} 2 1 1 ⋅ 5 5
0.67209 0.67209 0 . 6 7 2 0 9
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
0
Z / 4 Z \Z/4\Z Z / 4 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
4 4 4
2 2 2^{2} 2 2
1 1 1
0.749222245 0.749222245 0 . 7 4 9 2 2 2 2 4 5
0.749222245
15332659200009 625 a + 5763174879987 625 \frac{15332659200009}{625} a + \frac{5763174879987}{625} 6 2 5 1 5 3 3 2 6 5 9 2 0 0 0 0 9 a + 6 2 5 5 7 6 3 1 7 4 8 7 9 9 8 7
[ i + 1 \bigl[i + 1 [ i + 1 , i i i , i + 1 i + 1 i + 1 , − 481 i − 694 -481 i - 694 − 4 8 1 i − 6 9 4 , 7084 i + 6036 ] 7084 i + 6036\bigr] 7 0 8 4 i + 6 0 3 6 ]
y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − 481 i − 694 ) x + 7084 i + 6036 {y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-481i-694\right){x}+7084i+6036 y 2 + ( i + 1 ) x y + ( i + 1 ) y = x 3 + i x 2 + ( − 4 8 1 i − 6 9 4 ) x + 7 0 8 4 i + 6 0 3 6