Magma V2.24-1     Mon Nov 19 2018 15:26:14 on atkin    [Seed = 431002726]
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Loading file "Genus2.m"
Loading "FiberProductsData.m"
[ 2B, 5Ns.2.1 ]
####### RANK 0 #######

 ---------------------> y^2=20*x^6 - 60*x^5 + 125*x^4 - 150*x^3 + 125*x^2 - 60*x
- 20 ----> {} - {}
[ 2B, 7Nn ]
####### RANK 0 #######
(-4 : 3 : 1) -> 1728
(-1 : 0 : 1) -> 0
(32 : -1 : 1) -> 287496
(1/2 : 3 : 1) -> 1728

 ---------------------> y^2=8*x^5 + 17*x^4 - 2*x^3 - 11*x^2 - 4*x + 4 ----> { 0,
1728, 287496 } - {}
[ 2Cn, 5Ns ]
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(0 : -2 : 1) -> 1728

 ---------------------> y^2=x^5 - 3*x^4 - 21*x^3 - 12*x^2 + 16*x ----> { 1728 } 
- {}
[ 2Cn, 7B.6.1 ]
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 ---------------------> y^2=x^5 - 9*x^4 + 13*x^3 - 4*x^2 - x ----> {} - {}
[ 2Cn, 7B.6.2 ]
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 ---------------------> y^2=-7*x^6 + 21*x^5 + 7*x^4 - 49*x^3 + 7*x^2 + 21*x - 7 
----> {} - {}
[ 2Cn, 7B.6.3 ]
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 ---------------------> y^2=x^5 - 9*x^4 + 13*x^3 - 4*x^2 - x ----> {} - {}
[ 2Cs, 5S4 ]
####### RANK 0 #######
(1 : 3 : 1) -> 1728
(-2 : 3 : 1) -> 1728
(-1/2 : 3 : 1) -> 1728

 ---------------------> y^2=4*x^6 + 12*x^5 + 29*x^4 + 38*x^3 + 29*x^2 + 12*x + 4
----> { 1728 } - {}
[ 3B, 5Nn ]
####### RANK 0 #######
(1 : 1 : 1) -> 54000
(-9 : -1/2 : 1) -> 0
(-1/9 : 1/2 : 1) -> -12288000
(-9 : -1 : 1) -> 0
(-1 : -1/2 : 1) -> 0
(-1 : -1 : 1) -> 0

 ---------------------> y^2=9*x^6 - 6*x^5 - 35*x^4 + 40*x^2 + 12*x - 8 ----> { 
-12288000, 0, 54000 } - {}
[ 3Nn, 13B ]
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 ---------------------> y^2=x^6 - 10*x^3 - 27 ----> {} - {}
[ 3Nn, 5B.4.1 ]
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 ---------------------> y^2=x^6 - 22*x^3 + 125 ----> {} - {}
[ 3Nn, 5B.4.2 ]
####### RANK 0 #######

 ---------------------> y^2=x^6 + 22*x^3 + 125 ----> {} - {}
[ 3Nn, 7B ]
####### RANK 0 #######
(255 : 7 : 1) -> 16581375
(-15 : -7 : 1) -> -3375

 ---------------------> y^2=x^6 - 26*x^3 - 27 ----> { -3375, 16581375 } - {}
[ 3Ns, 5S4 ]
####### RANK 1 #######
(1/3 : -8 : 1) -> -32768
(-1 : 0 : 1) -> 0
(3 : 0 : 1) -> 0
(-9 : -8 : 1) -> -32768

 ---------------------> y^2=x^6 - 10*x^5 + 23*x^4 - 40*x^3 + 23*x^2 - 10*x + 1 
----> { -32768, 0 } - {}
[ 5S4, 7B ]
####### RANK 0 #######

 ---------------------> y^2=x^6 + 2*x^5 - 3*x^4 + 6*x^3 - 14*x^2 + 8*x - 3 ---->
{} - {}
