Singular Gorenstein product quotient threefolds with chi= -3





1) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=10, h20=6, h10=0, h11= 117 and h12=12

 Singularities of X: {* 1/3^^90 *}





2) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=8, h20=4, h10=0, h11= 64 and h12=17

 Singularities of X: {* 1/3^^45 *}





3) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=8, h20=4, h10=0, h11= 46 and h12=23

 Singularities of X: {* 1/3^^27 *}





4) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=9, h20=5, h10=0, h11= 53 and h12=19

 Singularities of X: {* 1/3^^36 *}





5) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=7, h20=3, h10=0, h11= 24 and h12=24

 Singularities of X: {* 1/3^^9 *}





6) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=8, h20=4, h10=0, h11= 53 and h12=18

 Singularities of X: {* 1/3^^36 *}





7) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=9, h20=5, h10=0, h11= 33 and h12=23

 Singularities of X: {* 1/3^^18 *}





8) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=8, h20=4, h10=0, h11= 33 and h12=22

 Singularities of X: {* 1/3^^18 *}





9) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=9, h20=5, h10=0, h11= 22 and h12=24

 Singularities of X: {* 1/3^^9 *}





10) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=9, h20=5, h10=0, h11= 31 and h12=21

 Singularities of X: {* 1/3^^18 *}





11) Group: G= <9, 2>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 3, 3 ] 
 T3=[ 0, 3, 3, 3, 3 ] 

 Hodge numbers of Xhat: h30=10, h20=6, h10=0, h11= 93 and h12=12

 Singularities of X: {* 1/3^^72 *}





12) Group: G= <36, 11>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 6 ] 
 T3=[ 0, 3, 3, 6 ] 

 Hodge numbers of Xhat: h30=6, h20=2, h10=0, h11= 42 and h12=17

 Singularities of X: {* 1/3^^27 *}





13) Group: G= <36, 11>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 6 ] 
 T3=[ 0, 3, 3, 6 ] 

 Hodge numbers of Xhat: h30=7, h20=3, h10=0, h11= 29 and h12=17

 Singularities of X: {* 1/3^^18 *}





14) Group: G= <36, 11>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 6 ] 
 T3=[ 0, 3, 3, 6 ] 

 Hodge numbers of Xhat: h30=7, h20=3, h10=0, h11= 18 and h12=18

 Singularities of X: {* 1/3^^9 *}





15) Group: G= <36, 11>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 6 ] 
 T3=[ 0, 3, 3, 6 ] 

 Hodge numbers of Xhat: h30=6, h20=2, h10=0, h11= 60 and h12=11

 Singularities of X: {* 1/3^^45 *}





16) Group: G= <36, 11>

 Types: 

 T1=[ 0, 3, 3, 3, 3 ] 
 T2=[ 0, 3, 3, 6 ] 
 T3=[ 0, 3, 3, 6 ] 

 Hodge numbers of Xhat: h30=7, h20=3, h10=0, h11= 49 and h12=13

 Singularities of X: {* 1/3^^36 *}