Supporting calculations for Dan's reduction procedure
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Packages
Reduction of \( I_{1,1,1,1}(w,x,y,z) \)
- wt4_dan.nb - Calculation the result when Dan's reduction procedure is applied to \( I_{1,1,1,1}(w,x,y,z) \)
- wt4_check_ids.nb - Checks the functional equations use in the weight 4 case
- wt4_rules_to_i31_i4.m - Functional equations for the weight 4 reduction, used by wt4_dan.nb and wt4_check_ids.nb
- wt4_check_I31_fe.nb - Checks the decomposition of Dan's \( I_{3,1} \) functional equation into Gangl's \( I_{3,1} \) functional equations
- wt4_fe_i31.m - Decomposition of the \( I_{3,1} \) functional equation, used by wt4_check_I31_fe.nb
- wt4_check_dan.nb -
- wt4_dan_precomputed.m - Precomputed results for the weight 4 reduction, used by wt4_check_dan.nb
Reduction of \( I_{1,1,1,1,1}(v,w,x,y,z) \)
- wt5_dan.nb - Calculation the result when Dan's reduction procedure is applied to \( I_{1,1,1,1,1}(v,w,x,y,z) \)
- wt5_check_ids.nb - Checks the functional equations use in the weight 5 case
- wt5_rules_to_i311_i32_i5.m - Functional equations for the weight 5 reduction, used by wt5_dan.nb and wt5_check_ids.nb
- wt5_check_bruteforce_i32_as_i41.nb - Checks the brute force identity expressing \( I_{3,2} \) in terms of \( I_{4,1} \) and \( \operatorname{Li}_5 \)
- wt5_bruteforce_i32_as_i41_and_li5.m - Brute force identity expressing \( I_{3,2} \) in terms of \( I_{4,1} \) and \( \operatorname{Li}_5 \), used by wt5_bruteforce_i32_as_i41_and_li5.nb
- wt5_check_dan.nb -
- wt5_dan_precomputed.m - Precomputed results for the weight 5 reduction, used by wt5_check_dan.nb