diff --git a/kat_test/physics/reference/bs_fsig1.out b/kat_test/physics/reference/bs_fsig1.out
index 60c88db879557d95c8c2cc3c4ec05469e204938d..40cb089e8f35d1a50dabce1497966a1ae5c047e1 100644
--- a/kat_test/physics/reference/bs_fsig1.out
+++ b/kat_test/physics/reference/bs_fsig1.out
@@ -1,101 +1,101 @@
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- 3.60000000000000  1.41421356237309  97.2000000000000  1.41421356237310  97.2000000000000  1.00000000000000  97.2000000000000  1.00000000000000  97.2000000000000  1.73205080756888 -97.2000000000000  1.73205080756888  97.2000000000000 
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+ 133.200000000000  1.41421356237310 -3.59999999999954  1.41421356237310 -3.60000000000045  1.00000000000000 -3.59999999999954  1.00000000000000 -3.60000000000045  1.73205080756888  3.59999999999951  1.73205080756888  3.60000000000045 
+ 135.000000000000  1.41421356237309  4.43966919002961e-13  1.41421356237309 -4.72032829258532e-13  1.00000000000000  4.43966919002961e-13  1.00000000000000 -4.72032829258532e-13  1.73205080756888 -4.54747350886464e-13  1.73205080756888  4.72032829258532e-13 
+ 136.800000000000  1.41421356237309  3.60000000000053  1.41421356237309  3.59999999999951  1.00000000000000  3.60000000000053  1.00000000000000  3.59999999999951  1.73205080756888 -3.60000000000053  1.73205080756888 -3.59999999999951 
+ 138.600000000000  1.41421356237309  7.20000000000050  1.41421356237309  7.19999999999949  1.00000000000000  7.20000000000050  1.00000000000000  7.19999999999949  1.73205080756888 -7.20000000000050  1.73205080756888 -7.19999999999949 
+ 140.400000000000  1.41421356237309  10.8000000000005  1.41421356237309  10.7999999999995  1.00000000000000  10.8000000000005  1.00000000000000  10.7999999999995  1.73205080756888 -10.8000000000005  1.73205080756888 -10.7999999999995 
+ 142.200000000000  1.41421356237309  14.4000000000005  1.41421356237309  14.3999999999995  1.00000000000000  14.4000000000005  1.00000000000000  14.3999999999995  1.73205080756888 -14.4000000000005  1.73205080756888 -14.3999999999995 
+ 144.000000000000  1.41421356237309  18.0000000000005  1.41421356237309  17.9999999999995  1.00000000000000  18.0000000000005  1.00000000000000  17.9999999999995  1.73205080756888 -18.0000000000005  1.73205080756888 -17.9999999999995 
+ 145.800000000000  1.41421356237309  21.6000000000005  1.41421356237309  21.5999999999995  1.00000000000000  21.6000000000005  1.00000000000000  21.5999999999995  1.73205080756888 -21.6000000000005  1.73205080756888 -21.5999999999995 
+ 147.600000000000  1.41421356237309  25.2000000000005  1.41421356237309  25.1999999999995  1.00000000000000  25.2000000000005  1.00000000000000  25.1999999999995  1.73205080756888 -25.2000000000005  1.73205080756888 -25.1999999999995 
+ 149.400000000000  1.41421356237310  28.8000000000005  1.41421356237309  28.7999999999995  1.00000000000000  28.8000000000005  1.00000000000000  28.7999999999995  1.73205080756888 -28.8000000000005  1.73205080756888 -28.7999999999995 
+ 151.200000000000  1.41421356237310  32.4000000000005  1.41421356237309  32.3999999999995  1.00000000000000  32.4000000000005  1.00000000000000  32.3999999999995  1.73205080756888 -32.4000000000005  1.73205080756888 -32.3999999999995 
+ 153.000000000000  1.41421356237309  36.0000000000005  1.41421356237310  35.9999999999994  1.00000000000000  36.0000000000005  1.00000000000000  35.9999999999994  1.73205080756888 -36.0000000000006  1.73205080756888 -35.9999999999994 
+ 154.800000000000  1.41421356237309  39.6000000000006  1.41421356237309  39.5999999999995  1.00000000000000  39.6000000000006  1.00000000000000  39.5999999999995  1.73205080756888 -39.6000000000006  1.73205080756888 -39.5999999999995 
+ 156.600000000000  1.41421356237309  43.2000000000006  1.41421356237309  43.1999999999994  1.00000000000000  43.2000000000006  1.00000000000000  43.1999999999994  1.73205080756888 -43.2000000000006  1.73205080756888 -43.1999999999994 
+ 158.400000000000  1.41421356237310  46.8000000000006  1.41421356237309  46.7999999999994  1.00000000000000  46.8000000000006  1.00000000000000  46.7999999999994  1.73205080756888 -46.8000000000006  1.73205080756888 -46.7999999999994 
+ 160.200000000000  1.41421356237309  50.4000000000006  1.41421356237309  50.3999999999994  1.00000000000000  50.4000000000006  1.00000000000000  50.3999999999994  1.73205080756888 -50.4000000000006  1.73205080756888 -50.3999999999994 
+ 162.000000000000  1.41421356237309  54.0000000000005  1.41421356237310  53.9999999999994  1.00000000000000  54.0000000000005  1.00000000000000  53.9999999999994  1.73205080756888 -54.0000000000006  1.73205080756888 -53.9999999999994 
+ 163.800000000000  1.41421356237309  57.6000000000006  1.41421356237310  57.5999999999995  1.00000000000000  57.6000000000006  1.00000000000000  57.5999999999995  1.73205080756888 -57.6000000000006  1.73205080756888 -57.5999999999995 
+ 165.600000000000  1.41421356237309  61.2000000000006  1.41421356237310  61.1999999999994  1.00000000000000  61.2000000000006  1.00000000000000  61.1999999999994  1.73205080756888 -61.2000000000006  1.73205080756888 -61.1999999999994 
+ 167.400000000000  1.41421356237310  64.8000000000006  1.41421356237309  64.7999999999994  1.00000000000000  64.8000000000006  1.00000000000000  64.7999999999994  1.73205080756888 -64.8000000000006  1.73205080756888 -64.7999999999994 
+ 169.200000000000  1.41421356237309  68.4000000000007  1.41421356237309  68.3999999999994  1.00000000000000  68.4000000000007  1.00000000000000  68.3999999999994  1.73205080756888 -68.4000000000007  1.73205080756888 -68.3999999999994 
+ 171.000000000000  1.41421356237309  72.0000000000006  1.41421356237310  71.9999999999994  1.00000000000000  72.0000000000006  1.00000000000000  71.9999999999994  1.73205080756888 -72.0000000000006  1.73205080756888 -71.9999999999994 
+ 172.800000000000  1.41421356237309  75.6000000000006  1.41421356237309  75.5999999999994  1.00000000000000  75.6000000000006  1.00000000000000  75.5999999999994  1.73205080756888 -75.6000000000006  1.73205080756888 -75.5999999999994 
+ 174.600000000000  1.41421356237309  79.2000000000006  1.41421356237309  79.1999999999993  1.00000000000000  79.2000000000006  1.00000000000000  79.1999999999993  1.73205080756888 -79.2000000000006  1.73205080756888 -79.1999999999993 
+ 176.400000000000  1.41421356237309  82.8000000000006  1.41421356237309  82.7999999999994  1.00000000000000  82.8000000000006  1.00000000000000  82.7999999999994  1.73205080756888 -82.8000000000006  1.73205080756888 -82.7999999999994 
+ 178.200000000000  1.41421356237310  86.4000000000007  1.41421356237309  86.3999999999994  1.00000000000000  86.4000000000007  1.00000000000000  86.3999999999994  1.73205080756888 -86.4000000000007  1.73205080756888 -86.3999999999994 
+ 180.000000000000  1.41421356237309  90.0000000000006  1.41421356237309  89.9999999999994  1.00000000000000  90.0000000000006  1.00000000000000  89.9999999999994  1.73205080756888 -90.0000000000006  1.73205080756888 -89.9999999999994 
\ No newline at end of file
diff --git a/kat_test/physics/reference/bs_fsig1b.out b/kat_test/physics/reference/bs_fsig1b.out
index 4cfca369c4ef2bc4a376630e131ad4b474bef1bf..ad348d886acc4ce2772b2297f379f5156bd1a7cb 100644
--- a/kat_test/physics/reference/bs_fsig1b.out
+++ b/kat_test/physics/reference/bs_fsig1b.out
@@ -1,101 +1,101 @@
- 0.00000000000000  1.41421356237310 -89.9999999999997  1.41421356237310 -90.0000000000004  1.00000000000000 -89.9999999999997  1.00000000000000 -90.0000000000004  1.73205080756888  89.9999999999997  1.73205080756888 -90.0000000000004 
- 1.80000000000000  1.41351573335010 -90.0888191341680  1.41351573335010 -90.0888191341686  0.999506560365731 -90.0888191341680  0.999506560365731 -90.0888191341686  1.73119614505186  90.0888191341680  1.73119614505186 -90.0888191341686 
- 3.60000000000000  1.41142293495411 -90.3551888829108  1.41142293495411 -90.3551888829114  0.998026728428271 -90.3551888829108  0.998026728428272 -90.3551888829114  1.72863300094951  90.3551888829108  1.72863300094951 -90.3551888829114 
- 5.40000000000000  1.40793723252448 -90.7988463714453  1.40793723252448 -90.7988463714459  0.995561964603080 -90.7988463714453  0.995561964603080 -90.7988463714459  1.72436390477562  90.7988463714453  1.72436390477562 -90.7988463714459 
- 7.20000000000000  1.40306206602867 -91.4193537633937  1.40306206602867 -91.4193537633943  0.992114701314478 -91.4193537633937  0.992114701314478 -91.4193537633943  1.71839306961270  91.4193537633937  1.71839306961270 -91.4193537633943 
- 9.00000000000000  1.39680224666742 -92.2160986928749  1.39680224666742 -92.2160986928755  0.987688340595138 -92.2160986928749  0.987688340595138 -92.2160986928755  1.71072638795417  92.2160986928749  1.71072638795417 -92.2160986928755 
- 10.8000000000000  1.38916395212669 -93.1882948688357  1.38916395212669 -93.1882948688363  0.982287250728689 -93.1882948688357  0.982287250728689 -93.1882948688363  1.70137142588924  93.1882948688357  1.70137142588924 -93.1882948688363 
- 12.6000000000000  1.38015472048101 -94.3349828510252  1.38015472048101 -94.3349828510258  0.975916761938748 -94.3349828510252  0.975916761938748 -94.3349828510258  1.69033741563601  94.3349828510252  1.69033741563601 -94.3349828510258 
- 14.4000000000000  1.36978344275431 -95.6550309968461  1.36978344275431 -95.6550309968467  0.968583161128631 -95.6550309968461  0.968583161128631 -95.6550309968467  1.67763524643046  95.6550309968461  1.67763524643046 -95.6550309968467 
- 16.2000000000000  1.35806035414558 -97.1471365781499  1.35806035414558 -97.1471365781505  0.960293685676943 -97.1471365781499  0.960293685676943 -97.1471365781505  1.66327745378004  97.1471365781499  1.66327745378004 -97.1471365781505 
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\ No newline at end of file