10 static constexpr std::array<int, 514>
p = {
11 37, 197, 187, 204, 20, 12, 242, 79, 52, 48, 160, 53, 142, 209, 166, 1, 198, 49, 233, 114, 230, 141, 155,
12 198, 74, 135, 218, 123, 208, 166, 216, 182, 131, 149, 173, 42, 180, 12, 56, 159, 191, 85, 29, 134, 53, 239,
13 182, 168, 139, 41, 223, 50, 24, 164, 17, 102, 121, 116, 148, 37, 105, 153, 102, 181, 255, 69, 77, 253, 59,
14 20, 164, 218, 90, 113, 47, 5, 90, 36, 0, 180, 44, 114, 41, 140, 160, 34, 149, 77, 148, 100, 181, 22,
15 113, 39, 22, 24, 247, 194, 43, 188, 227, 213, 29, 200, 72, 199, 8, 129, 32, 13, 130, 12, 218, 7, 246,
16 176, 148, 252, 57, 30, 78, 178, 49, 87, 158, 182, 80, 68, 113, 4, 41, 216, 138, 1, 108, 49, 68, 75,
17 242, 7, 219, 169, 90, 157, 198, 103, 214, 127, 202, 238, 148, 184, 101, 235, 87, 158, 127, 54, 20, 212, 56,
18 85, 152, 176, 178, 220, 95, 103, 246, 137, 178, 203, 247, 71, 141, 10, 232, 23, 167, 135, 181, 129, 248, 144,
19 202, 174, 247, 108, 183, 50, 162, 223, 52, 99, 102, 163, 187, 36, 195, 121, 79, 99, 182, 29, 199, 191, 109,
20 5, 171, 132, 157, 192, 245, 71, 252, 74, 162, 181, 105, 251, 194, 2, 133, 53, 12, 135, 221, 203, 233, 229,
21 255, 208, 191, 132, 73, 239, 40, 113, 59, 37, 36, 44, 158, 255, 232, 143, 148, 202, 143, 72, 188, 254, 253,
22 70, 109, 222, 37, 197, 187, 204, 20, 12, 242, 79, 52, 48, 160, 53, 142, 209, 166, 1, 198, 49, 233, 114,
23 230, 141, 155, 198, 74, 135, 218, 123, 208, 166, 216, 182, 131, 149, 173, 42, 180, 12, 56, 159, 191, 85, 29,
24 134, 53, 239, 182, 168, 139, 41, 223, 50, 24, 164, 17, 102, 121, 116, 148, 37, 105, 153, 102, 181, 255, 69,
25 77, 253, 59, 20, 164, 218, 90, 113, 47, 5, 90, 36, 0, 180, 44, 114, 41, 140, 160, 34, 149, 77, 148,
26 100, 181, 22, 113, 39, 22, 24, 247, 194, 43, 188, 227, 213, 29, 200, 72, 199, 8, 129, 32, 13, 130, 12,
27 218, 7, 246, 176, 148, 252, 57, 30, 78, 178, 49, 87, 158, 182, 80, 68, 113, 4, 41, 216, 138, 1, 108,
28 49, 68, 75, 242, 7, 219, 169, 90, 157, 198, 103, 214, 127, 202, 238, 148, 184, 101, 235, 87, 158, 127, 54,
29 20, 212, 56, 85, 152, 176, 178, 220, 95, 103, 246, 137, 178, 203, 247, 71, 141, 10, 232, 23, 167, 135, 181,
30 129, 248, 144, 202, 174, 247, 108, 183, 50, 162, 223, 52, 99, 102, 163, 187, 36, 195, 121, 79, 99, 182, 29,
31 199, 191, 109, 5, 171, 132, 157, 192, 245, 71, 252, 74, 162, 181, 105, 251, 194, 2, 133, 53, 12, 135, 221,
32 203, 233, 229, 255, 208, 191, 132, 73, 239, 40, 113, 59, 37, 36, 44, 158, 255, 232, 143, 148, 202, 143, 72,
33 188, 254, 253, 70, 109, 222, 37, 197};
37 static const std::array<std::array<double, d>, 514>
g;
557 {{{-0.151629, 0.988438},
558 {-0.965502, 0.260395},
559 {0.423502, 0.905895},
560 {0.592141, 0.805834},
561 {-0.387536, 0.921855},
562 {-0.961849, -0.27358},
563 {0.92593, -0.377695},
564 {-0.776778, 0.629775},
566 {0.847856, -0.530226},
567 {0.249481, -0.96838},
568 {0.296638, -0.95499},
569 {-0.476145, 0.879367},
570 {0.939988, 0.341208},
571 {0.0559883, -0.998432},
572 {0.820859, -0.571131},
573 {-0.761065, 0.648676},
574 {0.560754, -0.827983},
575 {0.309366, 0.950943},
576 {0.986137, -0.165934},
577 {-0.947255, -0.320481},
578 {-0.580349, 0.814368},
579 {-0.35311, -0.935582},
580 {0.600649, -0.799513},
581 {0.0688496, 0.997627},
582 {0.639101, -0.769123},
584 {0.693872, -0.720099},
585 {-0.95484, -0.29712},
586 {0.620061, -0.784554},
588 {-0.999843, 0.0176931},
589 {0.981774, -0.190054},
590 {0.711309, -0.702879},
591 {-0.752388, -0.658721},
592 {0.611741, 0.791058},
593 {-0.719155, -0.69485},
594 {0.884515, -0.466511},
595 {0.201722, -0.979443},
596 {-0.259763, -0.965673},
597 {0.828983, 0.559273},
598 {-0.999976, -0.00687675},
599 {0.934908, -0.35489},
600 {-0.600188, 0.799859},
601 {0.999026, -0.0441183},
602 {-0.72827, 0.685291},
603 {-0.2121, -0.977248},
604 {0.744893, -0.667184},
605 {0.477018, -0.878893},
606 {-0.247895, 0.968787},
607 {-0.486511, -0.873674},
608 {0.411162, -0.911562},
611 {-0.115368, -0.993323},
612 {-0.988121, -0.153677},
613 {-0.998432, -0.0559873},
614 {0.433379, -0.901212},
615 {0.676017, -0.736886},
617 {-0.647582, -0.761996},
618 {0.0443233, 0.999017},
619 {0.776688, -0.629886},
620 {0.455336, -0.89032},
621 {-0.993282, 0.115723},
623 {-0.827382, -0.561639},
624 {-0.89603, 0.443993},
625 {-0.744892, 0.667185},
626 {-0.821064, 0.570837},
627 {0.842454, 0.538768},
628 {0.984458, 0.175618},
629 {-0.853954, -0.520348},
630 {0.177653, -0.984093},
631 {0.22567, -0.974204},
632 {-0.443072, -0.896486},
633 {-0.984048, -0.177903},
634 {0.800552, 0.599263},
635 {-0.958812, 0.284042},
636 {-0.848122, 0.529801},
637 {0.668281, 0.743909},
638 {0.703976, 0.710224},
639 {-0.127298, 0.991865},
640 {-0.0909771, -0.995853},
641 {-0.968279, -0.249873},
642 {0.51951, -0.854464},
643 {-0.410073, 0.912053},
645 {0.761019, -0.64873},
646 {-0.364766, 0.931099},
647 {0.129207, -0.991618},
648 {0.10486, -0.994487},
649 {0.895682, -0.444695},
650 {-0.735993, -0.676989},
651 {-0.926304, 0.376778},
652 {-0.834845, 0.550485},
653 {0.467459, 0.884015},
654 {0.97682, -0.214061},
655 {-0.991598, -0.129358},
656 {0.948073, 0.318053},
657 {-0.398569, -0.917139},
658 {-0.906671, 0.421838},
659 {0.498414, -0.866939},
660 {0.968887, 0.247502},
661 {-0.693715, 0.72025},
662 {0.998546, 0.0539088},
663 {0.993084, -0.117406},
664 {0.958454, -0.285248},
666 {-0.589776, -0.807567},
667 {-0.78381, -0.621001},
668 {0.540294, -0.841476},
669 {0.388698, -0.921365},
670 {-0.675803, 0.737082},
671 {-0.840922, -0.541157},
672 {0.965157, -0.261672},
673 {0.72832, -0.685237},
674 {-0.974124, -0.226015},
675 {0.996924, 0.078373},
676 {-0.916764, 0.399428},
677 {-0.188071, -0.982156},
678 {0.999988, 0.00489994},
679 {-0.921093, -0.389343},
680 {-0.283368, -0.959011},
681 {-0.628687, -0.777658},
682 {-0.995825, 0.0912825},
683 {-0.997767, 0.0667875},
684 {-0.341775, 0.939782},
685 {-0.996755, -0.0804983},
686 {-0.711207, 0.702983},
687 {-0.330056, -0.943962},
688 {-0.139691, -0.990195},
689 {-0.569783, -0.821795},
690 {-0.999107, 0.0422528},
691 {-0.200002, 0.979796},
692 {0.378521, 0.925593},
693 {0.0933337, 0.995635},
694 {-0.236002, -0.971753},
696 {-0.0175388, -0.999846},
697 {0.860595, -0.50929},
698 {-0.806786, 0.590844},
699 {-0.986397, 0.164381},
700 {-0.999506, -0.0314418},
701 {0.365999, -0.930615},
702 {-0.860887, 0.508797},
703 {0.891185, 0.453639},
704 {0.117761, 0.993042},
705 {0.979856, 0.199704},
706 {0.962527, 0.271186},
707 {-0.684191, -0.729303},
708 {0.721192, 0.692735},
709 {0.238526, 0.971136},
710 {0.00697998, -0.999976},
711 {-0.930376, -0.366607},
712 {0.815014, 0.579442},
713 {-0.528782, -0.848757},
714 {-0.900866, -0.434097},
715 {-0.884848, 0.46588},
716 {0.902044, 0.431644},
717 {-0.979381, -0.20202},
718 {0.262303, 0.964986},
719 {-0.224016, 0.974586},
720 {-0.295191, 0.955438},
721 {-0.464931, -0.885347},
722 {-0.45439, 0.890803},
723 {0.343081, -0.939306},
724 {0.989908, -0.141713},
725 {0.97128, -0.237938},
726 {0.737974, 0.674829},
727 {-0.866472, -0.499225},
728 {0.580876, -0.813992},
729 {-0.318579, 0.947896},
730 {0.770191, 0.637813},
733 {-0.0665321, -0.997784},
735 {0.931337, 0.364158},
736 {0.951175, -0.308652},
737 {-0.0784228, 0.99692},
738 {-0.657484, 0.753469},
739 {-0.701884, -0.712291},
740 {-0.994476, -0.10496},
741 {-0.00479666, 0.999989},
742 {0.190552, 0.981677},
743 {0.153476, -0.988152},
744 {-0.666087, -0.745874},
745 {-0.0293607, 0.999569},
746 {-0.990138, 0.140094},
747 {0.285921, 0.958253},
748 {-0.539632, 0.841901},
749 {-0.306804, -0.951773},
750 {0.806616, -0.591075},
751 {0.994703, 0.102791},
752 {0.943325, -0.331871},
753 {-0.0539077, 0.998546},
754 {-0.939099, -0.343648},
755 {0.916396, -0.400274},
756 {-0.873131, 0.487485},
757 {-0.76833, -0.640054},
758 {-0.889936, -0.456086},
759 {-0.943698, 0.330809},
760 {0.166385, 0.986061},
761 {0.657757, -0.753231},
762 {-0.16393, -0.986472},
763 {-0.813345, -0.581782},
764 {0.686335, 0.727285},
765 {-0.375952, -0.926639},
766 {0.531244, 0.847219},
767 {0.997645, -0.0685942},
768 {-0.507799, -0.861475},
769 {0.510286, 0.860005},
770 {0.319956, -0.947433},
772 {0.445615, 0.895225},
773 {-0.97713, 0.212644},
774 {0.785609, 0.618724},
775 {-0.951542, 0.307518},
776 {0.991884, 0.127147},
778 {-0.518778, 0.854909},
779 {0.214604, 0.976701},
780 {0.906311, -0.422611},
781 {-0.878469, -0.4778},
782 {-0.420947, -0.907085},
783 {0.649823, 0.760086},
784 {-0.549448, -0.835528},
785 {-0.619665, 0.784867},
786 {0.630972, 0.775805},
787 {-0.175868, 0.984414},
788 {-0.911254, -0.411844},
790 {0.988468, 0.151428},
791 {0.834608, -0.550844},
792 {-0.98206, 0.188569},
793 {-0.271624, 0.962403},
794 {0.0314939, -0.999504},
795 {0.0197696, 0.999805},
796 {-0.102891, 0.994693},
797 {0.995664, -0.0930283},
798 {0.273142, -0.961974},
799 {-0.609415, -0.792851},
800 {-0.971609, 0.23659},
801 {-0.798818, -0.601573},
802 {0.79189, -0.610664},
803 {0.872817, -0.488047},
804 {0.572183, 0.820126},
805 {-0.0420478, -0.999116},
806 {0.999567, 0.0294129},
807 {0.0804485, -0.996759},
808 {0.955587, 0.294708},
810 {-0.56016, 0.828385},
811 {0.999808, -0.0196154},
812 {-0.792021, 0.610494},
813 {-0.151629, 0.988438},
814 {-0.965502, 0.260395},
815 {0.423502, 0.905895},
816 {0.592141, 0.805834},
817 {-0.387536, 0.921855},
818 {-0.961849, -0.27358},
819 {0.92593, -0.377695},
820 {-0.776778, 0.629775},
822 {0.847856, -0.530226},
823 {0.249481, -0.96838},
824 {0.296638, -0.95499},
825 {-0.476145, 0.879367},
826 {0.939988, 0.341208},
827 {0.0559883, -0.998432},
828 {0.820859, -0.571131},
829 {-0.761065, 0.648676},
830 {0.560754, -0.827983},
831 {0.309366, 0.950943},
832 {0.986137, -0.165934},
833 {-0.947255, -0.320481},
834 {-0.580349, 0.814368},
835 {-0.35311, -0.935582},
836 {0.600649, -0.799513},
837 {0.0688496, 0.997627},
838 {0.639101, -0.769123},
840 {0.693872, -0.720099},
841 {-0.95484, -0.29712},
842 {0.620061, -0.784554},
844 {-0.999843, 0.0176931},
845 {0.981774, -0.190054},
846 {0.711309, -0.702879},
847 {-0.752388, -0.658721},
848 {0.611741, 0.791058},
849 {-0.719155, -0.69485},
850 {0.884515, -0.466511},
851 {0.201722, -0.979443},
852 {-0.259763, -0.965673},
853 {0.828983, 0.559273},
854 {-0.999976, -0.00687675},
855 {0.934908, -0.35489},
856 {-0.600188, 0.799859},
857 {0.999026, -0.0441183},
858 {-0.72827, 0.685291},
859 {-0.2121, -0.977248},
860 {0.744893, -0.667184},
861 {0.477018, -0.878893},
862 {-0.247895, 0.968787},
863 {-0.486511, -0.873674},
864 {0.411162, -0.911562},
867 {-0.115368, -0.993323},
868 {-0.988121, -0.153677},
869 {-0.998432, -0.0559873},
870 {0.433379, -0.901212},
871 {0.676017, -0.736886},
873 {-0.647582, -0.761996},
874 {0.0443233, 0.999017},
875 {0.776688, -0.629886},
876 {0.455336, -0.89032},
877 {-0.993282, 0.115723},
879 {-0.827382, -0.561639},
880 {-0.89603, 0.443993},
881 {-0.744892, 0.667185},
882 {-0.821064, 0.570837},
883 {0.842454, 0.538768},
884 {0.984458, 0.175618},
885 {-0.853954, -0.520348},
886 {0.177653, -0.984093},
887 {0.22567, -0.974204},
888 {-0.443072, -0.896486},
889 {-0.984048, -0.177903},
890 {0.800552, 0.599263},
891 {-0.958812, 0.284042},
892 {-0.848122, 0.529801},
893 {0.668281, 0.743909},
894 {0.703976, 0.710224},
895 {-0.127298, 0.991865},
896 {-0.0909771, -0.995853},
897 {-0.968279, -0.249873},
898 {0.51951, -0.854464},
899 {-0.410073, 0.912053},
901 {0.761019, -0.64873},
902 {-0.364766, 0.931099},
903 {0.129207, -0.991618},
904 {0.10486, -0.994487},
905 {0.895682, -0.444695},
906 {-0.735993, -0.676989},
907 {-0.926304, 0.376778},
908 {-0.834845, 0.550485},
909 {0.467459, 0.884015},
910 {0.97682, -0.214061},
911 {-0.991598, -0.129358},
912 {0.948073, 0.318053},
913 {-0.398569, -0.917139},
914 {-0.906671, 0.421838},
915 {0.498414, -0.866939},
916 {0.968887, 0.247502},
917 {-0.693715, 0.72025},
918 {0.998546, 0.0539088},
919 {0.993084, -0.117406},
920 {0.958454, -0.285248},
922 {-0.589776, -0.807567},
923 {-0.78381, -0.621001},
924 {0.540294, -0.841476},
925 {0.388698, -0.921365},
926 {-0.675803, 0.737082},
927 {-0.840922, -0.541157},
928 {0.965157, -0.261672},
929 {0.72832, -0.685237},
930 {-0.974124, -0.226015},
931 {0.996924, 0.078373},
932 {-0.916764, 0.399428},
933 {-0.188071, -0.982156},
934 {0.999988, 0.00489994},
935 {-0.921093, -0.389343},
936 {-0.283368, -0.959011},
937 {-0.628687, -0.777658},
938 {-0.995825, 0.0912825},
939 {-0.997767, 0.0667875},
940 {-0.341775, 0.939782},
941 {-0.996755, -0.0804983},
942 {-0.711207, 0.702983},
943 {-0.330056, -0.943962},
944 {-0.139691, -0.990195},
945 {-0.569783, -0.821795},
946 {-0.999107, 0.0422528},
947 {-0.200002, 0.979796},
948 {0.378521, 0.925593},
949 {0.0933337, 0.995635},
950 {-0.236002, -0.971753},
952 {-0.0175388, -0.999846},
953 {0.860595, -0.50929},
954 {-0.806786, 0.590844},
955 {-0.986397, 0.164381},
956 {-0.999506, -0.0314418},
957 {0.365999, -0.930615},
958 {-0.860887, 0.508797},
959 {0.891185, 0.453639},
960 {0.117761, 0.993042},
961 {0.979856, 0.199704},
962 {0.962527, 0.271186},
963 {-0.684191, -0.729303},
964 {0.721192, 0.692735},
965 {0.238526, 0.971136},
966 {0.00697998, -0.999976},
967 {-0.930376, -0.366607},
968 {0.815014, 0.579442},
969 {-0.528782, -0.848757},
970 {-0.900866, -0.434097},
971 {-0.884848, 0.46588},
972 {0.902044, 0.431644},
973 {-0.979381, -0.20202},
974 {0.262303, 0.964986},
975 {-0.224016, 0.974586},
976 {-0.295191, 0.955438},
977 {-0.464931, -0.885347},
978 {-0.45439, 0.890803},
979 {0.343081, -0.939306},
980 {0.989908, -0.141713},
981 {0.97128, -0.237938},
982 {0.737974, 0.674829},
983 {-0.866472, -0.499225},
984 {0.580876, -0.813992},
985 {-0.318579, 0.947896},
986 {0.770191, 0.637813},
989 {-0.0665321, -0.997784},
991 {0.931337, 0.364158},
992 {0.951175, -0.308652},
993 {-0.0784228, 0.99692},
994 {-0.657484, 0.753469},
995 {-0.701884, -0.712291},
996 {-0.994476, -0.10496},
997 {-0.00479666, 0.999989},
998 {0.190552, 0.981677},
999 {0.153476, -0.988152},
1000 {-0.666087, -0.745874},
1001 {-0.0293607, 0.999569},
1002 {-0.990138, 0.140094},
1003 {0.285921, 0.958253},
1004 {-0.539632, 0.841901},
1005 {-0.306804, -0.951773},
1006 {0.806616, -0.591075},
1007 {0.994703, 0.102791},
1008 {0.943325, -0.331871},
1009 {-0.0539077, 0.998546},
1010 {-0.939099, -0.343648},
1011 {0.916396, -0.400274},
1012 {-0.873131, 0.487485},
1013 {-0.76833, -0.640054},
1014 {-0.889936, -0.456086},
1015 {-0.943698, 0.330809},
1016 {0.166385, 0.986061},
1017 {0.657757, -0.753231},
1018 {-0.16393, -0.986472},
1019 {-0.813345, -0.581782},
1020 {0.686335, 0.727285},
1021 {-0.375952, -0.926639},
1022 {0.531244, 0.847219},
1023 {0.997645, -0.0685942},
1024 {-0.507799, -0.861475},
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1717 {-0.0128381, 0.32431, -0.924373, 0.200482},
1718 {0.298876, -0.128842, -0.842588, -0.42909},
1719 {0.681684, 0.5947, -0.295622, 0.306997},
1720 {0.563868, -0.182781, 0.449858, 0.668036},
1721 {0.923849, 0.275927, -0.192935, -0.182051},
1722 {-0.144332, 0.0252123, -0.9134, -0.379782},
1723 {0.500583, 0.462126, 0.731835, -0.0165344},
1724 {0.783017, 0.458745, 0.125446, -0.400876},
1725 {0.285519, 0.810783, -0.498437, 0.112568},
1726 {0.830314, -0.0288258, -0.507055, -0.22944},
1727 {-0.881805, 0.0807794, 0.336043, -0.32089},
1728 {-0.104195, 0.80065, 0.498675, -0.315319},
1729 {0.0863339, 0.449352, 0.265859, 0.848498},
1730 {-0.346937, 0.200739, -0.442646, 0.802124},
1731 {-0.139349, -0.118364, -0.668803, 0.720607},
1732 {-0.0382987, 0.404686, -0.391262, -0.825637},
1733 {0.0558261, 0.915931, -0.0524622, -0.393956},
1734 {-0.0963122, -0.5074, -0.696057, 0.498773},
1735 {-0.651087, 0.161344, 0.0492618, -0.740018},
1736 {-0.753608, 0.156929, -0.350541, -0.53345},
1737 {0.0772411, -0.115201, 0.505355, -0.851692},
1738 {-0.234778, 0.675125, -0.00839805, 0.699296},
1739 {0.591905, -0.230435, -0.540421, -0.551809},
1740 {-0.314978, 0.193376, -0.796097, 0.479191},
1741 {0.0899122, 0.585199, 0.793914, -0.138417},
1742 {0.362748, 0.767312, 0.492388, 0.192875},
1743 {-0.513788, -0.605397, 0.388027, -0.467923},
1744 {-0.579922, 0.371073, -0.703691, 0.175536},
1745 {-0.518207, 0.769929, 0.363265, 0.0819105},
1746 {-0.404626, 0.834503, -0.179128, -0.328323},
1747 {-0.491739, -0.801317, 0.0039489, -0.340689},
1748 {-0.16205, 0.304384, -0.0690012, 0.936125},
1749 {0.277272, 0.154124, 0.943307, 0.0976609},
1750 {0.823632, -0.25152, -0.48221, 0.160753},
1751 {-0.165263, -0.448625, -0.302819, -0.824454},
1752 {-0.229479, 0.0553714, 0.712654, -0.660605},
1753 {-0.18919, -0.905954, -0.29718, -0.234815},
1754 {-0.235521, 0.891597, 0.170089, 0.347354},
1755 {0.432232, 0.0566435, 0.251762, -0.86405},
1756 {-0.251848, -0.473755, 0.764748, -0.356776},
1757 {0.118396, 0.719541, 0.275706, -0.626283},
1758 {0.167366, -0.904479, 0.214395, 0.328543},
1759 {-0.752118, -0.273176, -0.362227, 0.478001},
1760 {-0.124596, -0.40576, 0.760569, 0.491293},
1761 {-0.0827556, -0.186714, 0.974415, -0.0938402},
1762 {0.152124, 0.820868, 0.079178, 0.544761},
1763 {0.521831, -0.796874, -0.0406404, 0.301716},
1764 {-0.107772, -0.79673, 0.356639, -0.47583},
1765 {-0.282502, -0.407823, -0.859924, 0.120017},
1766 {-0.549686, -0.7863, -0.282029, 0.00605861},
1767 {-0.455303, 0.553854, 0.351687, 0.601881},
1768 {-0.0239912, 0.659488, -0.664518, 0.350594},
1769 {0.0581978, 0.669567, -0.710906, -0.20714},
1770 {0.590643, -0.75143, 0.202333, -0.213436},
1771 {-0.582665, 0.437274, -0.166569, 0.664491},
1772 {0.73719, 0.28539, -0.598939, 0.127968},
1773 {0.476506, 0.411229, -0.600336, 0.493386},
1774 {-0.144859, -0.77094, -0.0684603, -0.616425},
1775 {0.211188, -0.886245, -0.155185, -0.381953},
1776 {0.293755, 0.725368, -0.336643, 0.523661},
1777 {0.333981, 0.802013, -0.378939, -0.318805},
1778 {-0.0847942, 0.557028, -0.415693, 0.713953},
1779 {-0.480506, -0.217267, -0.72165, 0.448475},
1780 {0.138476, -0.562358, -0.804054, 0.134448},
1781 {0.326335, -0.379109, 0.227467, -0.835488},
1782 {0.347074, 0.576619, 0.588744, -0.447695},
1783 {-0.582098, -0.632204, 0.509717, -0.0408605},
1784 {0.17048, -0.816078, -0.534754, -0.137812},
1785 {0.236625, 0.91684, 0.282418, -0.153799},
1786 {0.09755, 0.347047, 0.33001, -0.872431},
1787 {0.282442, -0.774077, 0.558413, 0.0959496},
1788 {0.605938, 0.679424, 0.380906, -0.161656},
1789 {0.607551, 0.508538, -0.269046, -0.547618},
1790 {-0.674865, 0.645797, 0.0633188, 0.351418},
1791 {0.686316, 0.592474, -0.401118, -0.130572},
1792 {0.824402, -0.536749, -0.13702, 0.116129},
1793 {0.664881, 0.206143, -0.242747, 0.675657},
1794 {0.121442, 0.539656, 0.773081, 0.310434},
1795 {-0.259371, -0.91246, -0.131031, 0.288053},
1796 {-0.479147, -0.473136, 0.0407929, 0.738171},
1797 {-0.988997, -0.118559, 0.0869354, -0.0164336},
1798 {0.654787, -0.156903, 0.0152464, 0.739191},
1799 {-0.178412, 0.398846, -0.714787, -0.54605},
1800 {-0.553813, 0.187505, 0.589564, 0.557268},
1801 {0.60236, 0.307484, -0.633372, -0.376108},
1802 {0.162858, -0.633189, 0.401326, 0.641472},
1803 {0.404143, -0.137226, 0.816029, 0.389787},
1804 {0.494529, 0.152378, -0.431805, -0.73876},
1805 {0.864593, -0.40003, 0.158965, -0.2592},
1806 {-0.16913, -0.784426, 0.589029, -0.0954786},
1807 {0.492717, 0.292249, 0.715538, 0.399782},
1808 {-0.153812, 0.313327, 0.599478, 0.720273},
1809 {-0.7547, 0.242425, 0.191, 0.578945},
1810 {0.062637, -0.0843262, 0.0788559, -0.991336},
1811 {-0.669503, 0.136757, -0.526071, 0.506273},
1812 {0.47891, -0.514986, 0.583609, 0.405999},
1813 {-0.657984, 0.000454589, -0.138546, 0.740177},
1814 {0.210304, -0.313976, -0.509264, -0.773202},
1815 {-0.769058, -0.5088, -0.195983, -0.333562},
1816 {0.266989, 0.264362, -0.107222, -0.920507},
1817 {-0.939282, 0.237949, -0.0730232, -0.236213},
1818 {0.752746, -0.461731, -0.411838, -0.224874},
1819 {-0.6754, 0.356672, 0.607108, -0.219181},
1820 {0.547087, -0.797894, -0.229937, -0.105783},
1821 {0.16953, -0.586082, 0.753246, -0.245741},
1822 {-0.281731, -0.0694107, 0.912762, 0.287533},
1823 {0.118704, 0.111371, -0.675153, -0.719496},
1824 {-0.288969, 0.425292, -0.847561, -0.131391},
1825 {-0.125155, -0.765708, 0.526488, 0.347617},
1826 {-0.297342, -0.1225, -0.0152089, 0.946758},
1827 {-0.783263, 0.450131, -0.321386, 0.283888},
1828 {-0.296458, 0.500393, 0.371153, -0.723854},
1829 {0.518157, -0.52786, 0.525683, -0.42016},
1830 {-0.110051, -0.470855, 0.159525, -0.86066},
1831 {-0.683128, -0.613667, -0.0893266, 0.385708},
1832 {-0.407913, 0.0819627, -0.561403, -0.715344},
1833 {-0.753685, -0.650154, 0.0946762, -0.0172123},
1834 {-0.0939369, 0.736528, -0.425184, -0.517611},
1835 {0.103569, 0.9843, -0.0230777, 0.141048},
1836 {0.127728, -0.513648, 0.555166, -0.641593},
1837 {0.434096, -0.469744, -0.745669, -0.186756},
1838 {-0.0425633, -0.12077, -0.923236, 0.362269},
1839 {0.47616, 0.77633, 0.0392142, -0.411152},
1840 {-0.177387, -0.763558, 0.13944, 0.605036},
1841 {-0.347184, 0.604497, 0.713482, -0.070643},
1842 {0.00423816, 0.0210573, 0.311046, 0.950152},
1843 {-0.0738423, 0.920237, -0.370337, -0.102767},
1844 {-0.739379, 0.626192, -0.219025, -0.115026},
1845 {0.3966, 0.564479, 0.423247, 0.58731},
1846 {0.207686, 0.293048, -0.883543, -0.300569},
1847 {-0.145433, 0.307846, 0.936414, 0.0849082},
1848 {0.666268, 0.207833, 0.44005, -0.565021},
1849 {0.652951, -0.00227182, -0.588353, 0.47696},
1850 {0.221574, -0.823315, -0.367396, 0.371587},
1851 {-0.236882, -0.955985, 0.167044, -0.0455716},
1852 {-0.781451, -0.438422, 0.313148, 0.314737},
1853 {-0.225926, 0.956158, 0.150141, -0.110349},
1854 {-0.833293, -0.363813, 0.309378, -0.278475},
1855 {-0.873073, 0.00211995, 0.423987, 0.240777},
1856 {0.306914, -0.7367, 0.21705, -0.562109},
1857 {0.682326, -0.374178, -0.322874, 0.53868},
1858 {-0.192218, 0.2844, -0.00210586, -0.939236},
1859 {-0.544339, 0.512692, -0.534324, -0.394132},
1860 {0.284116, -0.183261, -0.728104, 0.596288},
1861 {0.183594, -0.932705, 0.254254, -0.17807},
1862 {-0.64169, -0.205595, 0.301285, -0.674679},
1863 {0.148202, -0.240829, 0.587807, 0.757972},
1864 {0.449893, -0.145313, 0.618109, -0.628029},
1865 {0.10435, 0.241438, -0.73631, 0.623431},
1866 {0.322788, 0.0994767, -0.00434734, 0.941219},
1867 {0.422486, -0.629475, -0.442919, -0.478632},
1868 {0.385144, 0.483074, -0.784525, 0.053138},
1869 {0.42928, -0.128703, -0.366779, 0.815247},
1870 {0.489462, 0.157652, 0.785911, -0.34339},
1871 {-0.214972, 0.700646, -0.0211753, -0.680025},
1872 {0.35655, -0.209979, 0.897849, -0.150495},
1873 {-0.076423, 0.836021, 0.527187, 0.13154},
1874 {-0.923646, 0.0314742, -0.327382, 0.196745},
1875 {-0.448991, 0.87173, -0.154501, 0.120931},
1876 {0.977875, -0.149525, -0.134619, -0.0572834},
1877 {0.250627, 0.508589, -0.596248, -0.568342},
1878 {0.721136, -0.602061, 0.291308, 0.180621},
1879 {-0.556466, -0.167224, 0.679021, -0.44868},
1880 {-0.425316, -0.637457, -0.379061, -0.518718},
1881 {-0.384742, 0.142519, 0.87612, -0.253133},
1882 {-0.637148, -0.481892, -0.600691, 0.0315185},
1883 {0.501334, 0.857258, -0.11734, 0.0022026},
1884 {0.917651, 0.0368148, 0.18608, -0.349192},
1885 {0.715984, 0.499081, 0.428469, 0.233879},
1886 {-0.33469, -0.463351, 0.814315, 0.10089},
1887 {-0.0108647, -0.646727, -0.55418, -0.523937},
1888 {0.814467, 0.57796, 0.0439751, 0.0259406},
1889 {0.176981, -0.459889, 0.852448, 0.174677},
1890 {-0.594521, 0.2006, 0.479296, -0.613661},
1891 {-0.296544, -0.66192, -0.660758, -0.193188},
1892 {0.552435, 0.0238813, -0.828288, -0.0904599},
1893 {0.81773, 0.3791, 0.0550689, 0.429614},
1894 {0.186315, 0.227278, 0.695315, -0.655872},
1895 {0.575947, -0.537464, 0.184169, 0.587791},
1896 {0.471377, 0.475964, 0.17765, -0.720904},
1897 {-0.613022, 0.153936, 0.760917, 0.146672},
1898 {0.297196, -0.313326, 0.187985, 0.882136},
1899 {-0.898109, -0.12216, 0.0316785, 0.421277},
1900 {0.251227, -0.515579, -0.441395, 0.690097},
1901 {-0.816822, 0.275739, -0.490435, -0.127453},
1902 {-0.0536727, -0.0294697, -0.348803, -0.935194},
1903 {0.416032, 0.528296, -0.0170906, 0.739951},
1904 {-0.529771, -0.32045, -0.692976, -0.369376},
1905 {-0.640762, -0.161788, 0.316987, 0.680271},
1906 {0.0064156, -0.427237, -0.135966, 0.893835},
1907 {-0.617571, -0.254647, -0.354157, -0.654472},
1908 {-0.481219, -0.78939, 0.257056, 0.28145},
1909 {-0.460855, 0.420169, -0.266908, -0.734732},
1910 {-0.324338, 0.505725, 0.709785, 0.367766},
1911 {-0.867004, -0.130448, -0.0277134, -0.480124},
1912 {-0.433253, 0.617241, -0.483873, 0.444042},
1913 {-0.725647, -0.22864, 0.647887, -0.0374377},
1914 {0.573867, -0.621648, -0.48646, 0.218145},
1915 {-0.846039, -0.157257, -0.449647, -0.239386},
1916 {-0.812685, 0.527575, 0.221465, -0.11028},
1917 {0.487958, -0.197467, -0.163563, -0.834356},
1918 {-0.187005, 0.457608, 0.734737, -0.464528},
1919 {0.903127, -0.216889, 0.0404167, 0.368357},
1920 {0.369741, 0.120311, -0.868549, 0.30731},
1921 {-0.173836, -0.270056, -0.697615, -0.640456},
1922 {0.0141874, -0.0217574, -0.32394, 0.945721},
1923 {0.278108, 0.316916, -0.380316, 0.823152},
1924 {0.556537, 0.736762, 0.108059, 0.368473},
1925 {-0.706484, -0.0525948, -0.699774, 0.0918124},
1926 {0.970553, 0.167163, 0.155321, 0.0771967},
1927 {0.799861, 0.0880928, 0.441702, 0.396688},
1928 {-0.940329, 0.274188, 0.0514292, 0.194827},
1929 {0.112483, -0.984542, -0.126443, 0.0451367},
1930 {-0.883989, -0.393168, -0.238698, 0.0837004},
1931 {0.754818, -0.131129, 0.567742, -0.301204},
1932 {-0.552476, 0.120932, -0.761782, -0.315964},
1933 {0.8378, -0.192508, -0.171916, -0.48112},
1934 {0.89415, -0.210934, 0.387082, 0.0785524},
1935 {0.0622882, 0.1887, 0.934266, -0.296073},
1936 {-0.409742, 0.185908, 0.27674, 0.849096},
1937 {-0.476167, -0.600529, -0.487339, 0.418487},
1938 {-0.316251, 0.0188809, 0.335442, -0.887191},
1939 {0.232989, -0.717448, -0.0349111, 0.655565},
1940 {0.597784, 0.21959, 0.254963, 0.727618},
1941 {-0.601204, -0.223947, 0.657606, 0.394913},
1942 {-0.283001, -0.348646, 0.530459, -0.719007},
1943 {-0.0217517, -0.391103, -0.883317, -0.25752},
1944 {-0.28506, -0.119544, 0.588338, 0.747201},
1945 {0.913283, 0.107572, -0.262486, 0.292309},
1946 {0.276777, 0.189932, 0.568026, 0.751443},
1947 {0.809873, 0.290422, 0.487329, -0.149233},
1948 {0.669484, 0.0268262, 0.738559, 0.0748527},
1949 {0.625212, -0.566228, -0.0501739, -0.534769},
1950 {-0.417575, -0.527939, 0.455064, 0.582948},
1951 {0.141708, -0.0501356, -0.987945, -0.0370026},
1952 {0.230493, -0.587281, -0.152535, -0.760728},
1953 {-0.693449, 0.529716, 0.00843522, -0.488321},
1954 {-0.514916, 0.67448, 0.377116, -0.37111},
1955 {0.0721797, -0.204176, 0.841643, -0.494712},
1956 {0.62109, -0.437169, 0.650406, -0.0101057},
1957 {0.221762, 0.655354, -0.150918, -0.706085},
1958 {-0.0418541, 0.69175, 0.464089, 0.55168},
1959 {-0.392686, -0.142914, -0.0771214, -0.905221},
1960 {-0.499222, -0.516884, 0.00997627, -0.695348},
1961 {-0.132351, -0.397851, 0.289778, 0.860364},
1962 {-0.116953, 0.859767, -0.277326, 0.412569},
1963 {-0.420042, 0.717699, -0.555292, -0.0110998},
1964 {0.498195, -0.293886, -0.785358, 0.22056},
1965 {-0.130403, -0.706956, -0.312377, 0.62099},
1966 {0.0628368, 0.136674, 0.861757, 0.484507},
1967 {0.697412, -0.228603, 0.250549, -0.631334},
1968 {-0.41447, -0.304384, -0.369856, 0.773803},
1969 {-0.739257, 0.430684, 0.448312, 0.258895},
1970 {0.707515, 0.161745, -0.0388176, -0.686844},
1971 {-0.150637, -0.804078, -0.542715, 0.190335},
1972 {-0.334267, 0.0266575, -0.940638, 0.05248},
1973 {-0.0128381, 0.32431, -0.924373, 0.200482},
1974 {0.298876, -0.128842, -0.842588, -0.42909},
1975 {0.681684, 0.5947, -0.295622, 0.306997},
1976 {0.563868, -0.182781, 0.449858, 0.668036},
1977 {0.923849, 0.275927, -0.192935, -0.182051},
1978 {-0.144332, 0.0252123, -0.9134, -0.379782},
1979 {0.500583, 0.462126, 0.731835, -0.0165344},
1980 {0.783017, 0.458745, 0.125446, -0.400876},
1981 {0.285519, 0.810783, -0.498437, 0.112568},
1982 {0.830314, -0.0288258, -0.507055, -0.22944},
1983 {-0.881805, 0.0807794, 0.336043, -0.32089},
1984 {-0.104195, 0.80065, 0.498675, -0.315319},
1985 {0.0863339, 0.449352, 0.265859, 0.848498},
1986 {-0.346937, 0.200739, -0.442646, 0.802124},
1987 {-0.139349, -0.118364, -0.668803, 0.720607},
1988 {-0.0382987, 0.404686, -0.391262, -0.825637},
1989 {0.0558261, 0.915931, -0.0524622, -0.393956},
1990 {-0.0963122, -0.5074, -0.696057, 0.498773},
1991 {-0.651087, 0.161344, 0.0492618, -0.740018},
1992 {-0.753608, 0.156929, -0.350541, -0.53345},
1993 {0.0772411, -0.115201, 0.505355, -0.851692},
1994 {-0.234778, 0.675125, -0.00839805, 0.699296},
1995 {0.591905, -0.230435, -0.540421, -0.551809},
1996 {-0.314978, 0.193376, -0.796097, 0.479191},
1997 {0.0899122, 0.585199, 0.793914, -0.138417},
1998 {0.362748, 0.767312, 0.492388, 0.192875},
1999 {-0.513788, -0.605397, 0.388027, -0.467923},
2000 {-0.579922, 0.371073, -0.703691, 0.175536},
2001 {-0.518207, 0.769929, 0.363265, 0.0819105},
2002 {-0.404626, 0.834503, -0.179128, -0.328323},
2003 {-0.491739, -0.801317, 0.0039489, -0.340689},
2004 {-0.16205, 0.304384, -0.0690012, 0.936125},
2005 {0.277272, 0.154124, 0.943307, 0.0976609},
2006 {0.823632, -0.25152, -0.48221, 0.160753},
2007 {-0.165263, -0.448625, -0.302819, -0.824454},
2008 {-0.229479, 0.0553714, 0.712654, -0.660605},
2009 {-0.18919, -0.905954, -0.29718, -0.234815},
2010 {-0.235521, 0.891597, 0.170089, 0.347354},
2011 {0.432232, 0.0566435, 0.251762, -0.86405},
2012 {-0.251848, -0.473755, 0.764748, -0.356776},
2013 {0.118396, 0.719541, 0.275706, -0.626283},
2014 {0.167366, -0.904479, 0.214395, 0.328543},
2015 {-0.752118, -0.273176, -0.362227, 0.478001},
2016 {-0.124596, -0.40576, 0.760569, 0.491293},
2017 {-0.0827556, -0.186714, 0.974415, -0.0938402},
2018 {0.152124, 0.820868, 0.079178, 0.544761},
2019 {0.521831, -0.796874, -0.0406404, 0.301716},
2020 {-0.107772, -0.79673, 0.356639, -0.47583},
2021 {-0.282502, -0.407823, -0.859924, 0.120017},
2022 {-0.549686, -0.7863, -0.282029, 0.00605861},
2023 {-0.455303, 0.553854, 0.351687, 0.601881},
2024 {-0.0239912, 0.659488, -0.664518, 0.350594},
2025 {0.0581978, 0.669567, -0.710906, -0.20714},
2026 {0.590643, -0.75143, 0.202333, -0.213436},
2027 {-0.582665, 0.437274, -0.166569, 0.664491},
2028 {0.73719, 0.28539, -0.598939, 0.127968},
2029 {0.476506, 0.411229, -0.600336, 0.493386},
2030 {-0.144859, -0.77094, -0.0684603, -0.616425},
2031 {0.211188, -0.886245, -0.155185, -0.381953},
2032 {0.293755, 0.725368, -0.336643, 0.523661},
2033 {0.333981, 0.802013, -0.378939, -0.318805},
2034 {-0.0847942, 0.557028, -0.415693, 0.713953},
2035 {-0.480506, -0.217267, -0.72165, 0.448475},
2036 {0.138476, -0.562358, -0.804054, 0.134448},
2037 {0.326335, -0.379109, 0.227467, -0.835488},
2038 {0.347074, 0.576619, 0.588744, -0.447695},
2039 {-0.582098, -0.632204, 0.509717, -0.0408605},
2040 {0.17048, -0.816078, -0.534754, -0.137812},
2041 {0.236625, 0.91684, 0.282418, -0.153799},
2042 {0.09755, 0.347047, 0.33001, -0.872431},
2043 {0.282442, -0.774077, 0.558413, 0.0959496},
2044 {0.605938, 0.679424, 0.380906, -0.161656},
2045 {0.607551, 0.508538, -0.269046, -0.547618},
2046 {-0.674865, 0.645797, 0.0633188, 0.351418},
2047 {0.686316, 0.592474, -0.401118, -0.130572},
2048 {0.824402, -0.536749, -0.13702, 0.116129},
2049 {0.664881, 0.206143, -0.242747, 0.675657},
2050 {0.121442, 0.539656, 0.773081, 0.310434},
2051 {-0.259371, -0.91246, -0.131031, 0.288053},
2052 {-0.479147, -0.473136, 0.0407929, 0.738171},
2053 {-0.988997, -0.118559, 0.0869354, -0.0164336},
2054 {0.654787, -0.156903, 0.0152464, 0.739191},
2055 {-0.178412, 0.398846, -0.714787, -0.54605},
2056 {-0.553813, 0.187505, 0.589564, 0.557268},
2057 {0.60236, 0.307484, -0.633372, -0.376108},
2058 {0.162858, -0.633189, 0.401326, 0.641472},
2059 {0.404143, -0.137226, 0.816029, 0.389787},
2060 {0.494529, 0.152378, -0.431805, -0.73876},
2061 {0.864593, -0.40003, 0.158965, -0.2592},
2062 {-0.16913, -0.784426, 0.589029, -0.0954786},
2063 {0.492717, 0.292249, 0.715538, 0.399782},
2064 {-0.153812, 0.313327, 0.599478, 0.720273},
2065 {-0.7547, 0.242425, 0.191, 0.578945},
2066 {0.062637, -0.0843262, 0.0788559, -0.991336},
2067 {-0.669503, 0.136757, -0.526071, 0.506273},
2068 {0.47891, -0.514986, 0.583609, 0.405999},
2069 {-0.657984, 0.000454589, -0.138546, 0.740177},
2070 {0.210304, -0.313976, -0.509264, -0.773202},
2071 {-0.769058, -0.5088, -0.195983, -0.333562},
2072 {0.266989, 0.264362, -0.107222, -0.920507},
2073 {-0.939282, 0.237949, -0.0730232, -0.236213},
2074 {0.752746, -0.461731, -0.411838, -0.224874},
2075 {-0.6754, 0.356672, 0.607108, -0.219181},
2076 {0.547087, -0.797894, -0.229937, -0.105783},
2077 {0.16953, -0.586082, 0.753246, -0.245741},
2078 {-0.281731, -0.0694107, 0.912762, 0.287533},
2079 {0.118704, 0.111371, -0.675153, -0.719496},
2080 {-0.288969, 0.425292, -0.847561, -0.131391},
2081 {-0.125155, -0.765708, 0.526488, 0.347617},
2082 {-0.297342, -0.1225, -0.0152089, 0.946758},
2083 {-0.783263, 0.450131, -0.321386, 0.283888},
2084 {-0.296458, 0.500393, 0.371153, -0.723854},
2085 {0.518157, -0.52786, 0.525683, -0.42016},
2086 {-0.110051, -0.470855, 0.159525, -0.86066},
2087 {-0.683128, -0.613667, -0.0893266, 0.385708},
2088 {-0.407913, 0.0819627, -0.561403, -0.715344},
2089 {-0.753685, -0.650154, 0.0946762, -0.0172123},
2090 {-0.0939369, 0.736528, -0.425184, -0.517611},
2091 {0.103569, 0.9843, -0.0230777, 0.141048},
2092 {0.127728, -0.513648, 0.555166, -0.641593},
2093 {0.434096, -0.469744, -0.745669, -0.186756},
2094 {-0.0425633, -0.12077, -0.923236, 0.362269},
2095 {0.47616, 0.77633, 0.0392142, -0.411152},
2096 {-0.177387, -0.763558, 0.13944, 0.605036},
2097 {-0.347184, 0.604497, 0.713482, -0.070643},
2098 {0.00423816, 0.0210573, 0.311046, 0.950152},
2099 {-0.0738423, 0.920237, -0.370337, -0.102767},
2100 {-0.739379, 0.626192, -0.219025, -0.115026},
2101 {0.3966, 0.564479, 0.423247, 0.58731},
2102 {0.207686, 0.293048, -0.883543, -0.300569}}};
static constexpr std::array< int, 514 > p
static const std::array< std::array< double, d >, 514 > g