Fixing a typo in the GW190814 results summary and providing an explicit p-value bound for it and this and more decimal places for the GW190412 SEOBNRv4 results, for consistency

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@@ -75,9 +75,9 @@ We performed a set of investigations on the analysis to check its accuracy.  Bel
 | Script | Short description | Status | git hash | Comment | final sign-off |
 | ------ | ----------------- | ------ | -------- | ------- | -------------- |
 | [SEOBNRv4HM_test_insphom_GW190412_C01_60Hz_Fs4096.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190412/analysis/C01_60HzCut/SEOBNRv4HM/test_insphom_GW190412_C01_60Hz_Fs4096.sh) | Bash script to produce results (h5 file) for the event GW190412 from SEOBNRv4HM PE result | Done | c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a |  In future, the choice of `track-max-length` can be optimized to get maximum SNR. | :heavy_check_mark: |
-| [SEOBNRv4HM plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190412/analysis/C01_60HzCut/SEOBNRv4HM/plot_script.sh) | To produce plots and to display results from SEOBNRv4HM run  | Done| c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | $`\beta_{33}=6.5`$, No. of  background samples= 1572, Largest background $`\beta_{33}=7.2`$. One background sample above foreground. $`p`$-value = (1./1572) | :heavy_check_mark:  |
+| [SEOBNRv4HM plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190412/analysis/C01_60HzCut/SEOBNRv4HM/plot_script.sh) | To produce plots and to display results from SEOBNRv4HM run  | Done| c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | $\beta_{33}=6.49$, No. of  background samples= 1572, Largest background $\beta_{33}=7.18$. One background sample above foreground. p-value = (1./1572) $\simeq 6.4 \times 10^{-4}$ | :heavy_check_mark:  |
 | [IMRPhenomHM_test_insphom_GW190412_C01_60Hz_Fs4096.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190412/analysis/C01_60HzCut/IMRPhenomHM/test_insphom_GW190412_C01_60Hz_Fs4096.sh) | Bash script to produce results (h5 file) for the event GW190412 from IMRPhenomHM PE results | Done | c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | The PE run from which the maxL samples are taken uses a sampling rate of 2048 Hz, while this analysis uses 4096 Hz, like the SEOBNRv4HM analysis (and its PE run).  | :heavy_check_mark: |
-| [IMRPhenomHM plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190412/analysis/C01_60HzCut/IMRPhenomHM/plot_script.sh) | To produce plots and to display results from IMRPhenomHM run  | Done| c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | $`\beta_{33}=7.54`$, No. of  background samples= 1572, Largest background $`\beta_{33}=5.99`$. $`p`$-value < (1./1572). | : :heavy_check_mark:   |
+| [IMRPhenomHM plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190412/analysis/C01_60HzCut/IMRPhenomHM/plot_script.sh) | To produce plots and to display results from IMRPhenomHM run  | Done| c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | $\beta_{33}=7.54$, No. of  background samples= 1572, Largest background $\beta_{33}=5.99$. p-value < (1./1572) $\simeq 6.4 \times 10^{-4}$. | : :heavy_check_mark:   |
 
 
 
@@ -97,7 +97,7 @@ Below is the summary of investigations to test the S190412m results.
 | Script | Short description | Status | git hash | Comment | final sign-off |
 | ------ | ----------------- | ------ | -------- | ------- | -------------- |
 | [SEOBNRv4HM_test_insphom_GW190814_C01_Fs4096.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190814/analysis/SEOBNRv4HM/test_insphom_GW190814_C01_Fs4096.sh) | Bash script to produce results (h5 file) for the event GW190814  | Done | c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | In future, the choice of `track-max-length` can be optimized to get maximum SNR. We still need to check that this is a reviewed PE run. | :heavy_check_mark:  |
-| [SEOBNRv4HM_plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/19f4c774f84aafa2d9f92ae31345110dd39700ae/GW190814/analysis/SEOBNRv4HM/plot_script.sh) | To produce plots and to display results | Done | c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | $`\beta=11.14`$, Number of background samples= 4032, Largest background = 6.88. | :heavy_check_mark:  |
+| [SEOBNRv4HM_plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/19f4c774f84aafa2d9f92ae31345110dd39700ae/GW190814/analysis/SEOBNRv4HM/plot_script.sh) | To produce plots and to display results | Done | c7caff8ea86c90fbbb6ebef932bcfa18c9acac7a | $\beta=11.18$, Number of background samples= 4032, Largest background = 6.88, so upper bound on the p-value is $1/4032 \simeq 2.5\times 10{-4}$. | :heavy_check_mark:  |
 | [IMRPhenomHM_test_insphom_GW190814_C01_Fs4096.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190814/analysis/IMRPhenomHM/test_insphom_GW190814_C01_Fs4096.sh) | Bash script to produce results (h5 file) for the event GW190814 with IMRPhenomHM PE results | Done | | The PE result used is not the final one. The runs are still in progress. | :x:  |
 | [IMRPhenomHM_plot_script.sh](https://git.ligo.org/soumen.roy/o3inspiralhom/-/blob/master/GW190814/analysis/IMRPhenomHM/plot_script.sh) | To produce plots and to display results | Done | | $`\beta_{33}=10.64`$, Number of background samples= 4032, Largest background = 6.82. | :x:  |