  x1 = 0.541
  x2 = -0.0675
  x3 = 0.748

  a(1) = 4.0/5.0
  a(2) = -1.0/5.0
  a(3) = 4.0/105.0
  a(4) = -1.0/280.0

  q(1,1) = -2540160.0/1498139.0
  q(2,1) = 9.0 * ( 2257920.0*x1 + 11289600.0*x2 + 22579200.0*x3 - 15849163.0 ) / 5992556.0
  q(3,1) = 3.0 * ( -33868800.0*x1 - 162570240.0*x2 - 304819200.0*x3 + 235236677.0 ) / 5992556.0
  q(4,1) = ( 609638400.0*x1 + 2743372800.0*x2 + 4572288000.0 * x3 - 3577778591.0 ) / 17977668.0
  q(5,1) = 3.0 * ( -16934400*x1 - 67737600.0*x2 - 84672000.0*x3 + 67906303.0 ) / 1498139.0
  q(6,1) = 105.0 * ( 967680.0*x1 + 2903040.0*x2 - 305821.0 ) / 5992556.0
  q(7,1) = 49.0 * ( -1244160.0*x1 + 18662400.0 * x3 - 13322233.0 ) / 17977668.0
  q(8,1) = 3.0 * ( -6773760.0*x2 - 33868800.0*x3 + 24839327.0 ) / 5992556.0
  q(9,1) = 0
  q(10,1) = 0
  q(11,1) = 0
  q(12,1) = 0

  q(1,2) = 9.0 * ( -2257920.0*x1 - 11289600.0*x2 - 22579200.0*x3 + 15849163.0 ) / 31004596.0
  q(2,2) = 0
  q(3,2) = 3.0 * ( 7257600.0*x1 + 33868800.0*x2 + 60963840.0*x3 - 47167457.0 ) / 2214614.0
  q(4,2) = 3.0 * ( -9676800.0*x1 - 42336000.0*x2 - 67737600.0*x3 + 53224573.0 ) / 1107307.0
  q(5,2) = 7.0 * ( 55987200.0*x1 + 217728000.0*x2 + 261273600.0*x3 - 211102099.0 ) / 13287684.0
  q(6,2) = 3.0 * ( -11612160.0*x1 - 33868800.0*x2 + 3884117.0 ) / 2214614.0
  q(7,2) = 150.0 * ( 24192.0*x1 - 338688.0*x3 + 240463.0 ) / 1107307.0
  q(8,2) = ( 152409600.0*x2 + 731566080.0*x3 - 536324953.0 ) / 46506894.0
  q(9,2) = 0
  q(10,2) = 0
  q(11,2) = 0
  q(12,2) = 0

  q(1,3) = ( 33868800.0*x1 + 162570240.0*x2 + 304819200.0*x3 - 235236677.0 ) / 1743924.0
  q(2,3) = ( -7257600.0*x1 - 33868800.0*x2 - 60963840.0*x3 + 47167457.0 ) / 124566.0
  q(3,3) = 0
  q(4,3) = ( 24192000.0*x1 + 101606400.0*x2 + 152409600.0*x3 - 120219461.0 ) / 124566.0
  q(5,3) = ( -72576000.0*x1 - 270950400.0*x2 - 304819200.0*x3 + 249289259.0 ) / 249132.0
  q(6,3) = 9.0 * ( 806400.0*x1 + 2257920.0*x2 - 290167.0 ) / 41522.0
  q(7,3) = 6.0 * ( -134400.0*x1 + 1693440.0*x3 - 1191611.0 ) / 20761.0
  q(8,3) = 5.0 * ( -2257920.0*x2 - 10160640.0*x3 + 7439833.0 ) / 290654.0
  q(9,3) = 0
  q(10,3) = 0
  q(11,3) = 0
  q(12,3) = 0

  q(1,4) = ( -609638400.0*x1 - 2743372800.0*x2 - 4572288000.0*x3 + 3577778591.0 ) / 109619916.0
  q(2,4) = 3.0 * ( 9676800.0*x1 + 42336000.0*x2 + 67737600.0*x3 - 53224573.0 ) / 1304999.0
  q(3,4) = 3.0 * ( -24192000.0*x1 - 101606400.0*x2 - 152409600.0*x3 + 120219461.0 ) / 2609998.0
  q(4,4) = 0
  q(5,4) = 9.0 * ( 16128000.0*x1 + 56448000.0*x2 + 56448000.0*x3 - 47206049.0 ) / 5219996.0
  q(6,4) = 3.0 * ( -19353600.0*x1 - 50803200.0*x2 + 7628371.0 ) / 2609998.0
  q(7,4) = 2.0 * ( 10886400.0*x1 - 114307200.0*x3 + 79048289.0 ) / 3914997.0
  q(8,4) = 75.0 * ( 1354752.0*x2 + 5419008.0*x3 - 3952831.0 ) / 18269986.0
  q(9,4) = 0
  q(10,4) = 0
  q(11,4) = 0
  q(12,4) = 0

  q(1,5) = 3.0 * ( 16934400.0*x1 + 67737600.0*x2 + 84672000.0*x3 - 67906303.0 ) / 2096689.0
  q(2,5) = 7.0 * ( -55987200.0*x1 - 217728000.0*x2 - 261273600.0*x3 + 211102099.0 ) / 3594324.0
  q(3,5) = 3.0 * ( 72576000.0*x1 + 270950400.0*x2 + 304819200.0*x3 - 249289259.0 ) / 1198108.0
  q(4,5) = 9.0 * ( -16128000.0*x1 - 56448000.0*x2 - 56448000.0*x3 + 47206049.0 ) / 1198108.0
  q(5,5) = 0
  q(6,5) = 105.0 * ( 414720.0*x1 + 967680.0*x2 - 165527.0 ) / 1198108.0
  q(7,5) = 15.0 * ( -967680.0*x1 + 6773760.0*x3 - 4472029.0 ) / 1198108.0
  q(8,5) = ( -304819200.0*x2 - 914457600.0*x3 + 657798011.0 ) / 25160268.0
  q(9,5) = -2592.0/299527.0

  q(10,5) = 0
  q(11,5) = 0
  q(12,5) = 0

  q(1,6) = 5.0 * ( -967680.0*x1 - 2903040.0*x2 + 305821.0 ) / 1237164.0
  q(2,6) = ( 11612160.0*x1 + 33868800.0*x2 - 3884117.0 ) / 618582.0
  q(3,6) = 9.0 * ( -806400.0*x1 - 2257920.0*x2 + 290167.0 ) / 206194.0
  q(4,6) = ( 19353600.0*x1 + 50803200.0*x2 - 7628371.0 ) / 618582.0
  q(5,6) = 35.0 * ( -414720.0*x1 - 967680.0*x2 + 165527.0 ) / 1237164.0
  q(6,6) = 0
  q(7,6) = 80640.0*x1 / 103097.0
  q(8,6) = 80640.0*x2 / 103097.0
  q(9,6) = 3072.0 / 103097.0
  q(10,6) = -288.0/103097.0
  q(11,6) = 0
  q(12,6) = 0

  q(1,7) = 7.0 * ( 1244160.0*x1 - 18662400.0*x3 + 13322233.0 ) / 8041092.0
  q(2,7) = 150.0 * ( -24192.0*x1 + 338688.0*x3 - 240463.0 ) / 670091.0
  q(3,7) = 54.0 * ( 134400.0*x1 - 1693440.0*x3 + 1191611.0 ) / 670091.0
  q(4,7) = 2.0 * ( -10886400.0*x1 + 114307200.0*x3 - 79048289.0 ) / 2010273.0
  q(5,7) = 15.0 * ( 967680.0*x1 - 6773760.0*x3 + 4472029.0 ) / 2680364.0
  q(6,7) = -725760.0*x1 / 670091.0
  q(7,7) = 0
  q(8,7) = 725760.0*x3 / 670091.0
  q(9,7) = -145152.0/670091.0
  q(10,7) = 27648.0/670091.0
  q(11,7) = -2592.0/670091.0
  q(12,7) = 0

  q(1,8) = 3.0 * ( 6773760.0*x2 + 33868800.0*x3 - 24839327.0 ) / 20510956.0
  q(2,8) = ( -152409600.0*x2 - 731566080.0*x3 + 536324953.0 ) / 30766434.0
  q(3,8) = 45.0 * ( 2257920.0*x2 + 10160640.0*x3 - 7439833.0 ) / 10255478.0
  q(4,8) = 75.0 * ( -1354752.0*x2 - 5419008.0*x3 + 3952831.0 ) / 10255478.0
  q(5,8) = ( 304819200.0*x2 + 914457600.0*x3 - 657798011.0 ) / 61532868.0
  q(6,8) = -5080320.0*x2 / 5127739.0
  q(7,8) = -5080320.0*x3 / 5127739.0
  q(8,8) = 0
  q(9,8) = 4064256.0/5127739.0
  q(10,8) = -1016064.0/5127739.0
  q(11,8) = 193536.0/5127739.0
  q(12,8) = -18144.0/5127739.0

  # from https://bitbucket.org/cactuscode/cactusnumerical/src/master/SummationByParts/src/GetScalProdDiag.F90
  CCTK_REAL, dimension(8), parameter :: bmask_8 = (/ 1498139.0_wp/5080320.0_wp,&
                                                     1107307.0_wp/725760.0_wp, &
                                                     20761.0_wp/80640.0_wp, &
                                                     1304999.0_wp/725760.0_wp, &
                                                     299527.0_wp/725760.0_wp, &
                                                     103097.0_wp/80640.0_wp, &
                                                     670091.0_wp/725760.0_wp, &
                                                     5127739.0_wp/5080320.0_wp/)
