all handcuffs (type: 2h)

newname  file   num     volume        inv tr field,root  			int tr  arith

2h_1_1 G1	  7    3.663862377    x^2 + 1 [0, 1] -4 R(1)  			Y 	Y			
2h_2_1 G2	 38    5.074708032    x^2 - x + 1 [0, 1] -3 R(1)		Y	Y	*Trace field: x^4 - x^2 + 1 [0, 2] 144 R(1)
2h_3_1 G3_27_0	 11    5.875918083    x^4 - 2*x^3 - x^2 + 2*x + 2 [0, 2] 656 R(1)	Y	N		
2h_3-2 G3_27_0	  9    6.138138789    x^4 - 2*x^3 + 2 [0, 2] 320 R(1)		Y	N		
2h_4_1 G4_27_0	104    6.354586557    x^3 - x^2 + x + 1 [1, 1] -44 R(2)		Y	N			
2h_4_2 G4_27_0	 75    6.559335883    x^6 - 2*x^5 - 3*x^4 + 6*x^3 + 2*x^2 - 4*x + 2 [0, 3] -382208 R(1)		Y	N	
2h_5_1 G5+8	117    6.647203159    x^6 - 2*x^5 - 2*x^4 + 6*x^3 + 2*x^2 - 4*x + 1 [0, 3] -242752 R(-3)	Y	N		
2h_4_3 G4_27_0	 48    6.784755787    x^6 - 2*x^5 - 2*x^4 + 4*x^3 + x^2 - 2*x + 2 [0, 3] -108544 R(-3)		Y	N	
2h_4_4 G4_27_0	 54    6.831770496    x^4 - x^3 - x^2 + 2 [0, 2] 892 R(1)	Y	N	*Trace field: x^8 - 2*x^7 + x^6 + x^2 + 2*x + 1 [0, 4] 12730624 R(2)
2h_5_2 G5+8	 25    6.854770090    x^8 - 2*x^7 - 5*x^6 + 10*x^5 + 7*x^4 - 14*x^3 - 2*x^2 + 4*x + 2 [0, 4] 502248448 R(1)	Y	N
2h_5_3 G5+8	 33    6.952347978    x^5 - x^3 - x^2 - 1 [1, 2] 7684 R(2)	Y	N		
2h_5_4 G5+8	 26    6.969842840    x^6 - 2*x^5 - 2*x^4 + 6*x^3 - 2*x^2 - 4*x + 5 [0, 3] -179776 R(3)		Y	N	
2h_5_5 G5+8	 24    7.008125009    x^10 - 2*x^9 - 7*x^8 + 14*x^7 + 16*x^6 - 32*x^5 - 13*x^4 + 26*x^3 + 3*x^2 - 6*x + 2 [0, 5] -1192884600832 R(-1)	Y	N
2h_5_6 G5+8	 42    7.020614792    x^8 - 2*x^7 - 4*x^6 + 8*x^5 + 4*x^4 - 8*x^3 + 2 [0, 4] 89276416 R(4)	Y	N
2h_5_7 G5+8	 40    7.056979121    x^10 - 2*x^9 - 7*x^8 + 14*x^7 + 16*x^6 - 32*x^5 - 12*x^4 + 24*x^3 + 2*x^2 - 4*x + 2 [0, 5] -586177642496 R(2)	Y	N
2h_5_8 G5+8	 39    7.136868364    x^6 - x^5 + 3*x^4 + 2*x^2 + 4 [0, 3] -682736 R(-1)	Y	N
2h_5_9 G5+8	 41    7.146107337    x^12 - 4*x^11 + 6*x^10 + 4*x^9 - 22*x^8 + 24*x^7 + 8*x^6 - 40*x^5 + 46*x^4 - 28*x^3 + 12*x^2 - 4*x + 1 [0, 6] 8746362208256 R(-1)	Y	N	
2h_3_3 G3_27_0	  4    7.327724753    x^2 + 1 [0, 1] -4 R(1)		Y	Y	
2h_4_5 G4_27_0	 72    7.327724753    x^2 + 1 [0, 1] -4 R(1)		Y	Y		
2h_5_10 G5+8	 34    7.731874058    x^6 + x^4 - 2*x^3 - x^2 + 2*x + 1 [0, 3] -96512 R(3)	Y	N		
2h_5_11 G5+8	 30    8.140719221    x^6 - 2*x^5 - 3*x^4 + 6*x^3 + 2*x^2 - 4*x + 2 [0, 3] -382208 R(2)	Y	N		
2h_5_12 G5+8	 31    8.140719221    x^6 - 2*x^5 - 3*x^4 + 6*x^3 + 2*x^2 - 4*x + 2 [0, 3] -382208 R(-2)	Y	N		
2h_4_6 G4_27_0	 27    8.738570409    x^4 - x^2 + 1 [0, 2] 144 R(1)	Y	N	
2h_5_13 G5+8	 18    8.997351944    x^4 - 3*x^2 + 4 [0, 2] 784 R(1)	Y	N		
2h_4_7 G4_27_0	 10    8.997351944    x^4 - 3*x^2 + 4 [0, 2] 784 R(1)	Y	N		
2h_4_8 G4_27_0	 17    8.997351944    x^4 - 3*x^2 + 4 [0, 2] 784 R(1)		Y	N		
2h_5_14 G5+8	 44    9.539780459    x^4 - 2*x^3 - x^2 + 2*x + 2 [0, 2] 656 R(-1)	Y	N
2h_5_15 G5+8	102    9.539780459    x^4 - 2*x^3 - x^2 + 2*x + 2 [0, 2] 656 R(1)	Y	N		
2h_5_16 G5+8	115    9.592627932    x^4 - x^3 + 3*x^2 + 2 [0, 2] 1436 R(-2)	Y	N			
2h_5_17 G5+8	  2    9.802001166    x^4 - 2*x^3 + 2 [0, 2] 320 R(1)	N	N  	
2h_5_18 G5+8	 48    9.876829057    x^6 - 2*x^5 - 2*x^3 + 4*x^2 + 2*x + 1 [0, 3] -239168 R(-1)	Y	N	
2h_5_19 G5+8	  1   10.018448934    x^6 - 2*x^5 + 2*x^4 - 2*x^3 + 4*x^2 - 4*x + 2 [0, 3] -30976 R(1)	N	N 
2h_5_20 G5+8	 20   10.018448934    x^6 - 2*x^5 + 2*x^4 - 2*x^3 + 4*x^2 - 4*x + 2 [0, 3] -30976 R(-1)	Y	N		
2h_5_21 G5+8	 21   10.018448934    x^6 - 2*x^5 + 2*x^4 - 2*x^3 + 4*x^2 - 4*x + 2 [0, 3] -30976 R(1)	Y	N			
2h_5_22 G5+8	 56   10.069070958    x^4 - x^3 - x^2 + 2*x + 2 [0, 2] 1384 R(-2)	Y	N	
2h_5_23 G5+8	 52   10.149416064    x^2 - x + 1 [0, 1] -3 R(1)	Y	Y	
2h_5_24 G5+8	  0   10.215605665    x^6 - 5*x^4 + 5*x^2 + 4 [0, 3] -732736 R(-1)	N	N	
2h_5_25 G5+8	 17   10.215605665    x^6 - 5*x^4 + 5*x^2 + 4 [0, 3] -732736 R(-1)	Y	N		
2h_5_26 G5+8	 22   10.215605665    x^6 - 5*x^4 + 5*x^2 + 4 [0, 3] -732736 R(1)	Y	N		
2h_5_27 G5+8	 45   10.408197599    x^4 - x^3 - x^2 - 2*x + 4 [0, 2] 441 R(1)	N	N		
