12800.2-c1
12800.2-c
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
12800.2
2 9 ⋅ 5 2 2^{9} \cdot 5^{2} 2 9 ⋅ 5 2
2 17 ⋅ 5 10 2^{17} \cdot 5^{10} 2 1 7 ⋅ 5 1 0
1.90095 1.90095 1 . 9 0 0 9 5
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
1 1 1
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 6 2^{6} 2 6
0.303357396 0.303357396 0 . 3 0 3 3 5 7 3 9 6
1.269781619 1.269781619 1 . 2 6 9 7 8 1 6 1 9
3.081581164
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − i − 1 -i - 1 − i − 1 , 0 0 0 , − 2 i + 35 -2 i + 35 − 2 i + 3 5 , 83 i + 1 ] 83 i + 1\bigr] 8 3 i + 1 ]
y 2 = x 3 + ( − i − 1 ) x 2 + ( − 2 i + 35 ) x + 83 i + 1 {y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-2i+35\right){x}+83i+1 y 2 = x 3 + ( − i − 1 ) x 2 + ( − 2 i + 3 5 ) x + 8 3 i + 1
12800.2-e1
12800.2-e
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
12800.2
2 9 ⋅ 5 2 2^{9} \cdot 5^{2} 2 9 ⋅ 5 2
2 17 ⋅ 5 10 2^{17} \cdot 5^{10} 2 1 7 ⋅ 5 1 0
1.90095 1.90095 1 . 9 0 0 9 5
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
1 1 1
Z / 2 Z \Z/2\Z Z / 2 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
1.213429584 1.213429584 1 . 2 1 3 4 2 9 5 8 4
1.269781619 1.269781619 1 . 2 6 9 7 8 1 6 1 9
3.081581164
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − i + 1 -i + 1 − i + 1 , 0 0 0 , 2 i − 35 2 i - 35 2 i − 3 5 , − i + 83 ] -i + 83\bigr] − i + 8 3 ]
y 2 = x 3 + ( − i + 1 ) x 2 + ( 2 i − 35 ) x − i + 83 {y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(2i-35\right){x}-i+83 y 2 = x 3 + ( − i + 1 ) x 2 + ( 2 i − 3 5 ) x − i + 8 3
25600.2-b1
25600.2-b
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
25600.2
2 10 ⋅ 5 2 2^{10} \cdot 5^{2} 2 1 0 ⋅ 5 2
2 23 ⋅ 5 10 2^{23} \cdot 5^{10} 2 2 3 ⋅ 5 1 0
2.26063 2.26063 2 . 2 6 0 6 3
( 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/2\Z Z / 2 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
1 1 1
2 3 2^{3} 2 3
1 1 1
0.897871193 0.897871193 0 . 8 9 7 8 7 1 1 9 3
1.795742386
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − i -i − i , 0 0 0 , 70 i + 5 70 i + 5 7 0 i + 5 , 159 i + 238 ] 159 i + 238\bigr] 1 5 9 i + 2 3 8 ]
y 2 = x 3 − i x 2 + ( 70 i + 5 ) x + 159 i + 238 {y}^2={x}^{3}-i{x}^{2}+\left(70i+5\right){x}+159i+238 y 2 = x 3 − i x 2 + ( 7 0 i + 5 ) x + 1 5 9 i + 2 3 8
25600.2-r1
25600.2-r
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
25600.2
2 10 ⋅ 5 2 2^{10} \cdot 5^{2} 2 1 0 ⋅ 5 2
2 23 ⋅ 5 10 2^{23} \cdot 5^{10} 2 2 3 ⋅ 5 1 0
2.26063 2.26063 2 . 2 6 0 6 3
( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 ) (a+1), (-a-2), (2a+1) ( a + 1 ) , ( − a − 2 ) , ( 2 a + 1 )
1 1 1
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 6 2^{6} 2 6
0.559256688 0.559256688 0 . 5 5 9 2 5 6 6 8 8
0.897871193 0.897871193 0 . 8 9 7 8 7 1 1 9 3
4.017123764
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − 1 -1 − 1 , 0 0 0 , − 70 i − 5 -70 i - 5 − 7 0 i − 5 , 238 i − 159 ] 238 i - 159\bigr] 2 3 8 i − 1 5 9 ]
y 2 = x 3 − x 2 + ( − 70 i − 5 ) x + 238 i − 159 {y}^2={x}^{3}-{x}^{2}+\left(-70i-5\right){x}+238i-159 y 2 = x 3 − x 2 + ( − 7 0 i − 5 ) x + 2 3 8 i − 1 5 9
64000.2-b1
64000.2-b
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
64000.2
2 9 ⋅ 5 3 2^{9} \cdot 5^{3} 2 9 ⋅ 5 3
2 17 ⋅ 5 16 2^{17} \cdot 5^{16} 2 1 7 ⋅ 5 1 6
2.84259 2.84259 2 . 8 4 2 5 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/2\Z Z / 2 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
1 1 1
2 3 2^{3} 2 3
1 1 1
0.567863603 0.567863603 0 . 5 6 7 8 6 3 6 0 3
1.135727206
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − i -i − i , 0 0 0 , − 132 i − 116 -132 i - 116 − 1 3 2 i − 1 1 6 , 1044 i + 292 ] 1044 i + 292\bigr] 1 0 4 4 i + 2 9 2 ]
y 2 = x 3 − i x 2 + ( − 132 i − 116 ) x + 1044 i + 292 {y}^2={x}^{3}-i{x}^{2}+\left(-132i-116\right){x}+1044i+292 y 2 = x 3 − i x 2 + ( − 1 3 2 i − 1 1 6 ) x + 1 0 4 4 i + 2 9 2
64000.2-k1
64000.2-k
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
64000.2
2 9 ⋅ 5 3 2^{9} \cdot 5^{3} 2 9 ⋅ 5 3
2 17 ⋅ 5 16 2^{17} \cdot 5^{16} 2 1 7 ⋅ 5 1 6
2.84259 2.84259 2 . 8 4 2 5 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/2\Z Z / 2 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
0.567863603 0.567863603 0 . 5 6 7 8 6 3 6 0 3
2.271454413
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − 1 -1 − 1 , 0 0 0 , 132 i + 116 132 i + 116 1 3 2 i + 1 1 6 , 292 i − 1044 ] 292 i - 1044\bigr] 2 9 2 i − 1 0 4 4 ]
y 2 = x 3 − x 2 + ( 132 i + 116 ) x + 292 i − 1044 {y}^2={x}^{3}-{x}^{2}+\left(132i+116\right){x}+292i-1044 y 2 = x 3 − x 2 + ( 1 3 2 i + 1 1 6 ) x + 2 9 2 i − 1 0 4 4
64000.3-c1
64000.3-c
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
64000.3
2 9 ⋅ 5 3 2^{9} \cdot 5^{3} 2 9 ⋅ 5 3
2 17 ⋅ 5 16 2^{17} \cdot 5^{16} 2 1 7 ⋅ 5 1 6
2.84259 2.84259 2 . 8 4 2 5 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/2\Z Z / 2 Z
no \textsf{no} no
S U ( 2 ) \mathrm{SU}(2) S U ( 2 )
✓
2 2 2
2B
1 1 1
2 3 2^{3} 2 3
1 1 1
0.567863603 0.567863603 0 . 5 6 7 8 6 3 6 0 3
1.135727206
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − i -i − i , 0 0 0 , − 148 i + 94 -148 i + 94 − 1 4 8 i + 9 4 , 8 i + 1010 ] 8 i + 1010\bigr] 8 i + 1 0 1 0 ]
y 2 = x 3 − i x 2 + ( − 148 i + 94 ) x + 8 i + 1010 {y}^2={x}^{3}-i{x}^{2}+\left(-148i+94\right){x}+8i+1010 y 2 = x 3 − i x 2 + ( − 1 4 8 i + 9 4 ) x + 8 i + 1 0 1 0
64000.3-l1
64000.3-l
4 4 4
4 4 4
Q ( − 1 ) \Q(\sqrt{-1}) Q ( − 1 )
2 2 2
[ 0 , 1 ] [0, 1] [ 0 , 1 ]
64000.3
2 9 ⋅ 5 3 2^{9} \cdot 5^{3} 2 9 ⋅ 5 3
2 17 ⋅ 5 16 2^{17} \cdot 5^{16} 2 1 7 ⋅ 5 1 6
2.84259 2.84259 2 . 8 4 2 5 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/2\Z Z / 2 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
0.567863603 0.567863603 0 . 5 6 7 8 6 3 6 0 3
2.271454413
− 324134216 390625 a − 1619282312 390625 -\frac{324134216}{390625} a - \frac{1619282312}{390625} − 3 9 0 6 2 5 3 2 4 1 3 4 2 1 6 a − 3 9 0 6 2 5 1 6 1 9 2 8 2 3 1 2
[ 0 \bigl[0 [ 0 , − 1 -1 − 1 , 0 0 0 , 148 i − 94 148 i - 94 1 4 8 i − 9 4 , 1010 i − 8 ] 1010 i - 8\bigr] 1 0 1 0 i − 8 ]
y 2 = x 3 − x 2 + ( 148 i − 94 ) x + 1010 i − 8 {y}^2={x}^{3}-{x}^{2}+\left(148i-94\right){x}+1010i-8 y 2 = x 3 − x 2 + ( 1 4 8 i − 9 4 ) x + 1 0 1 0 i − 8