RESISTANCE FUNCTIONS RYG, RYH AND RYM DEFINED IN JEFFREY, PHYS. FLUIDS (1992) NON-ZERO COEFFICIENTS FOR RYG (EQS 28) AS FLOATING POINT AND AS FRACTION. FOR S**( 0) FOR S**(- 1) FOR S**(- 2) FOR S**(- 3) FOR S**(- 4) LAMBDA( 1) : 12.00000 LAMBDA( 3) : 20.00000 FOR S**(- 5) LAMBDA( 1) : 18.00000 LAMBDA( 3) : 90.00000 FOR S**(- 6) LAMBDA( 2) : 27.00000 LAMBDA( 4) : 135.00000 FOR S**(- 7) LAMBDA( 1) : 24.00000 48.00/ 2 LAMBDA( 2) : 40.50000 81.00/ 2 LAMBDA( 3) : -336.00000 -672.00/ 2 LAMBDA( 4) : 202.50000 405.00/ 2 LAMBDA( 5) : 600.00000 1200.00/ 2 FOR S**(- 8) LAMBDA( 2) : 216.00000 864.00/ 4 LAMBDA( 3) : 60.75000 243.00/ 4 LAMBDA( 4) : -1008.00000 -4032.00/ 4 LAMBDA( 5) : 303.75000 1215.00/ 4 LAMBDA( 6) : 1080.00000 4320.00/ 4 FOR S**(- 9) LAMBDA( 2) : 378.00000 3024.00/ 8 LAMBDA( 3) : 2651.12500 21209.00/ 8 LAMBDA( 4) : -972.00000 -7776.00/ 8 LAMBDA( 5) : -7768.37500 -62147.00/ 8 LAMBDA( 6) : 2970.00000 23760.00/ 8 LAMBDA( 7) : 3360.00000 26880.00/ 8 FOR S**(-10) LAMBDA( 2) : 864.00000 13824.00/ 16 LAMBDA( 3) : 972.00000 15552.00/ 16 LAMBDA( 4) : 2632.68750 42123.00/ 16 LAMBDA( 5) : 648.00000 10368.00/ 16 LAMBDA( 6) : -6004.56250 -96073.00/ 16 LAMBDA( 7) : 4860.00000 77760.00/ 16 LAMBDA( 8) : 6240.00000 99840.00/ 16 FOR S**(-11) LAMBDA( 2) : 1728.00000 55296.00/ 32 LAMBDA( 3) : 1579.50000 50544.00/ 32 LAMBDA( 4) : 3229.03125 103329.00/ 32 LAMBDA( 5) : 69387.00000 2220384.00/ 32 LAMBDA( 6) : 23849.15625 763173.00/ 32 LAMBDA( 7) : -83368.50000 -2667792.00/ 32 LAMBDA( 8) : 24840.00000 794880.00/ 32 LAMBDA( 9) : 17280.00000 552960.00/ 32 FOR S**(-12) LAMBDA( 2) : 3456.00000 221184.00/ 64 LAMBDA( 3) : 7776.00000 497664.00/ 64 LAMBDA( 4) : 20944.50000 1340448.00/ 64 LAMBDA( 5) : 1603.54688 102627.00/ 64 LAMBDA( 6) : 223571.00000 14308544.00/ 64 LAMBDA( 7) : 57049.73437 3651183.00/ 64 LAMBDA( 8) : -57069.50000 -3652448.00/ 64 LAMBDA( 9) : 43200.00000 2764800.00/ 64 LAMBDA(10) : 32640.00000 2088960.00/ 64 FOR S**(-13) LAMBDA( 2) : 6912.00000 884736.00/ 128 LAMBDA( 3) : 13608.00000 1741824.00/ 128 LAMBDA( 4) : 59146.12500 7570704.00/ 128 LAMBDA( 5) : 11477.32031 1469097.00/ 128 LAMBDA( 6) : 273290.25000 34981152.00/ 128 LAMBDA( 7) : 1126352.60156 144173133.00/ 128 LAMBDA( 8) : 491662.12500 62932752.00/ 128 LAMBDA( 9) : -676326.00000 -86569728.00/ 128 LAMBDA(10) : 168480.00000 21565440.00/ 128 LAMBDA(11) : 84480.00000 10813440.00/ 128 FOR S**(-14) LAMBDA( 2) : 13824.00000 3538944.00/ 256 LAMBDA( 3) : 46656.00000 11943936.00/ 256 LAMBDA( 4) : 128454.00000 32884224.00/ 256 LAMBDA( 5) : 153265.50000 39235968.00/ 256 LAMBDA( 6) : 2110931.98047 540398587.00/ 256 LAMBDA( 7) : -244827.00000 -62675712.00/ 256 LAMBDA( 8) : 2874053.90234 735757799.00/ 256 LAMBDA( 9) : 1094071.50000 280082304.00/ 256 LAMBDA(10) : -491306.00000 -125774336.00/ 256 LAMBDA(11) : 302400.00000 77414400.00/ 256 LAMBDA(12) : 161280.00000 41287680.00/ 256 FOR S**(-15) LAMBDA( 2) : 27648.00000 14155776.00/ 512 LAMBDA( 3) : 85536.00000 43794432.00/ 512 LAMBDA( 4) : 370506.00000 189699072.00/ 512 LAMBDA( 5) : 326417.34375 167125680.00/ 512 LAMBDA( 6) : 3841330.97070 1966761457.00/ 512 LAMBDA( 7) : 76742.43750 39292128.00/ 512 LAMBDA( 8) : 2253920.35352 1154007221.00/ 512 LAMBDA( 9) : 14339044.59375 7341590832.00/ 512 LAMBDA(10) : 5627398.50000 2881228032.00/ 512 LAMBDA(11) : -4730248.00000 -2421886976.00/ 512 LAMBDA(12) : 1019520.00000 521994240.00/ 512 LAMBDA(13) : 399360.00000 204472320.00/ 512 NON-ZERO COEFFICIENTS FOR RYH (EQS 36) FOR S**( 0) FOR S**(- 1) FOR S**(- 2) FOR S**(- 3) LAMBDA( 3) : 10.00000 FOR S**(- 4) FOR S**(- 5) FOR S**(- 6) LAMBDA( 1) : 24.00000 LAMBDA( 3) : -120.00000 FOR S**(- 7) LAMBDA( 4) : 36.00000 LAMBDA( 6) : 180.00000 FOR S**(- 8) LAMBDA( 2) : 54.00000 LAMBDA( 3) : 1280.00000 LAMBDA( 4) : 270.00000 LAMBDA( 5) : -1280.00000 FOR S**(- 9) LAMBDA( 4) : 144.00000 LAMBDA( 5) : 81.00000 LAMBDA( 6) : 5248.00000 LAMBDA( 7) : 405.00000 LAMBDA( 8) : 1200.00000 FOR S**(-10) LAMBDA( 2) : 432.00000 864.00/ 2 LAMBDA( 3) : 121.50000 243.00/ 2 LAMBDA( 4) : -1872.00000 -3744.00/ 2 LAMBDA( 5) : 23007.50000 46015.00/ 2 LAMBDA( 6) : 2880.00000 5760.00/ 2 LAMBDA( 7) : -9600.00000 -19200.00/ 2 FOR S**(-11) LAMBDA( 4) : 576.00000 2304.00/ 4 LAMBDA( 5) : 972.00000 3888.00/ 4 LAMBDA( 6) : 38262.25000 153049.00/ 4 LAMBDA( 7) : -864.00000 -3456.00/ 4 LAMBDA( 8) : 46543.25000 186173.00/ 4 LAMBDA( 9) : 5940.00000 23760.00/ 4 LAMBDA(10) : 6720.00000 26880.00/ 4 FOR S**(-12) LAMBDA( 2) : 1728.00000 13824.00/ 8 LAMBDA( 3) : 1944.00000 15552.00/ 8 LAMBDA( 4) : 14481.37500 115851.00/ 8 LAMBDA( 5) : 1620.00000 12960.00/ 8 LAMBDA( 6) : -132553.12500 -1060425.00/ 8 LAMBDA( 7) : 269388.00000 2155104.00/ 8 LAMBDA( 8) : 21600.00000 172800.00/ 8 LAMBDA( 9) : -61440.00000 -491520.00/ 8 FOR S**(-13) LAMBDA( 4) : 2304.00000 36864.00/ 16 LAMBDA( 5) : 6480.00000 103680.00/ 16 LAMBDA( 6) : 246845.00000 3949520.00/ 16 LAMBDA( 7) : 18410.06250 294561.00/ 16 LAMBDA( 8) : 206484.00000 3303744.00/ 16 LAMBDA( 9) : 124018.31250 1984293.00/ 16 LAMBDA(10) : 306863.00000 4909808.00/ 16 LAMBDA(11) : 49680.00000 794880.00/ 16 LAMBDA(12) : 34560.00000 552960.00/ 16 FOR S**(-14) LAMBDA( 2) : 6912.00000 221184.00/ 32 LAMBDA( 3) : 15552.00000 497664.00/ 32 LAMBDA( 4) : 101793.00000 3257376.00/ 32 LAMBDA( 5) : 26535.09375 849123.00/ 32 LAMBDA( 6) : -68993.00000 -2207776.00/ 32 LAMBDA( 7) : 209787.46875 6713199.00/ 32 LAMBDA( 8) : -2412958.00000 -77214656.00/ 32 LAMBDA( 9) : 2485320.00000 79530240.00/ 32 LAMBDA(10) : 138240.00000 4423680.00/ 32 LAMBDA(11) : -358400.00000 -11468800.00/ 32 FOR S**(-15) LAMBDA( 4) : 9216.00000 589824.00/ 64 LAMBDA( 5) : 36288.00000 2322432.00/ 64 LAMBDA( 6) : 1488916.00000 95290624.00/ 64 LAMBDA( 7) : 200409.75000 12826224.00/ 64 LAMBDA( 8) : 526294.64063 33682857.00/ 64 LAMBDA( 9) : 4846768.00000 310193152.00/ 64 LAMBDA(10) : -530342.79688 -33941939.00/ 64 LAMBDA(11) : 1933724.25000 123758352.00/ 64 LAMBDA(12) : 1729588.00000 110693632.00/ 64 LAMBDA(13) : 336960.00000 21565440.00/ 64 LAMBDA(14) : 168960.00000 10813440.00/ 64 NON-ZERO COEFFICIENTS FOR RYM (EQS 63) AS FLOATING POINT AND AS FRACTION. FOR S**( 0) LAMBDA( 0) : 1. FOR S**(- 1) FOR S**(- 2) FOR S**(- 3) LAMBDA( 3) : -20.0000 FOR S**(- 4) FOR S**(- 5) LAMBDA( 3) : 128.0000 LAMBDA( 5) : 128.0000 FOR S**(- 6) LAMBDA( 3) : 640.0000 FOR S**(- 7) FOR S**(- 8) LAMBDA( 1) : 115.2000 576.00/5 LAMBDA( 3) : -4736.0000 -23680.00/5 LAMBDA( 5) : 6720.0000 33600.00/5 FOR S**(- 9) LAMBDA( 4) : 864.0000 4320.00/5 LAMBDA( 6) : -14067.2000 -70336.00/5 LAMBDA( 8) : 864.0000 4320.00/5 FOR S**(-10) LAMBDA( 2) : 259.2000 1296.00/5 LAMBDA( 3) : 16384.0000 81920.00/5 LAMBDA( 4) : 2592.0000 12960.00/5 LAMBDA( 5) : -110592.0000 -552960.00/5 LAMBDA( 6) : 6480.0000 32400.00/5 LAMBDA( 7) : 51200.0000 256000.00/5 FOR S**(-11) LAMBDA( 4) : 5760.0000 28800.00/5 LAMBDA( 5) : 1944.0000 9720.00/5 LAMBDA( 6) : -76825.6000 -384128.00/5 LAMBDA( 7) : 10108.8000 50544.00/5 LAMBDA( 8) : -76825.6000 -384128.00/5 LAMBDA( 9) : 1944.0000 9720.00/5 LAMBDA(10) : 5760.0000 28800.00/5 FOR S**(-12) LAMBDA( 2) : 2073.6000 10368.00/5 LAMBDA( 3) : 583.2000 2916.00/5 LAMBDA( 4) : -20044.8000 -100224.00/5 LAMBDA( 5) : 543432.0000 2717160.00/5 LAMBDA( 6) : 413056.0000 2065280.00/5 LAMBDA( 7) : -1429260.0000 -7146300.00/5 LAMBDA( 8) : 86400.0000 432000.00/5 LAMBDA( 9) : 332800.0000 1664000.00/5 FOR S**(-13) LAMBDA( 4) : 32256.0000 161280.00/5 LAMBDA( 5) : 28512.0000 142560.00/5 LAMBDA( 6) : -415056.4000 -2075282.00/5 LAMBDA( 7) : -22291.2000 -111456.00/5 LAMBDA( 8) : 802008.8000 4010044.00/5 LAMBDA( 9) : -22291.2000 -111456.00/5 LAMBDA(10) : -415056.4000 -2075282.00/5 LAMBDA(11) : 28512.0000 142560.00/5 LAMBDA(12) : 32256.0000 161280.00/5 FOR S**(-14) LAMBDA( 2) : 8294.4000 41472.00/5 LAMBDA( 3) : 9331.2000 46656.00/5 LAMBDA( 4) : 48313.8000 241569.00/5 LAMBDA( 5) : 6220.8000 31104.00/5 LAMBDA( 6) : 439771.6000 2198858.00/5 LAMBDA( 7) : 9769075.2000 48845376.00/5 LAMBDA( 8) : 7961637.0000 39808185.00/5 LAMBDA( 9) : -13910272.0000 -69551360.00/5 LAMBDA(10) : 771840.0000 3859200.00/5 LAMBDA(11) : 1966080.0000 9830400.00/5 FOR S**(-15) LAMBDA( 4) : 165888.0000 829440.00/5 LAMBDA( 5) : 238464.0000 1192320.00/5 LAMBDA( 6) : -2100817.6000 -10504088.00/5 LAMBDA( 7) : 246231.9000 1231159.50/5 LAMBDA( 8) : 15465355.2000 77326776.00/5 LAMBDA( 9) : -11613873.8000 -58069369.00/5 LAMBDA(10) : 15465355.2000 77326776.00/5 LAMBDA(11) : 246231.9000 1231159.50/5 LAMBDA(12) : -2100817.6000 -10504088.00/5 LAMBDA(13) : 238464.0000 1192320.00/5 LAMBDA(14) : 165888.0000 829440.00/5 RYG FOR EQUAL SPHERES FOR (2A/R)** 0 =-0.70000000000000E+01 FOR (2A/R)** 1 = 0.00000000000000E+00 FOR (2A/R)** 2 = 0.00000000000000E+00 FOR (2A/R)** 3 = 0.00000000000000E+00 FOR (2A/R)** 4 = 0.12500000000000E+00 FOR (2A/R)** 5 = 0.10546875000000E+00 FOR (2A/R)** 6 = 0.39550781250000E-01 FOR (2A/R)** 7 = 0.32409667968750E-01 FOR (2A/R)** 8 = 0.99563598632813E-02 FOR (2A/R)** 9 = 0.23603439331055E-02 FOR (2A/R)**10 = 0.97390413284302E-02 FOR (2A/R)**11 = 0.13953253626823E-01 FOR (2A/R)**12 = 0.19858555868268E-01 FOR (2A/R)**13 = 0.23232138482854E-01 FOR (2A/R)**14 = 0.22906079451786E-01 FOR (2A/R)**15 = 0.22013835794496E-01 RYH FOR EQUAL SPHERES FOR (2A/R)** 0 =-0.80000000000000E+01 FOR (2A/R)** 1 = 0.00000000000000E+00 FOR (2A/R)** 2 = 0.00000000000000E+00 FOR (2A/R)** 3 = 0.15625000000000E+00 FOR (2A/R)** 4 = 0.00000000000000E+00 FOR (2A/R)** 5 = 0.00000000000000E+00 FOR (2A/R)** 6 =-0.23437500000000E-01 FOR (2A/R)** 7 = 0.13183593750000E-01 FOR (2A/R)** 8 = 0.49438476562500E-02 FOR (2A/R)** 9 = 0.27000427246094E-01 FOR (2A/R)**10 = 0.14275550842285E-01 FOR (2A/R)**11 = 0.23400664329529E-01 FOR (2A/R)**12 = 0.69599300622940E-02 FOR (2A/R)**13 = 0.14836257323623E-01 FOR (2A/R)**14 = 0.53565413691103E-03 FOR (2A/R)**15 = 0.10008720535552E-01 RYM FOR EQUAL SPHERES FOR (2A/R)** 0 =-0.10000000000000E+02 FOR (2A/R)** 1 = 0.00000000000000E+00 FOR (2A/R)** 2 = 0.00000000000000E+00 FOR (2A/R)** 3 =-0.31250000000000E+00 FOR (2A/R)** 4 = 0.00000000000000E+00 FOR (2A/R)** 5 = 0.25000000000000E+00 FOR (2A/R)** 6 = 0.15625000000000E+00 FOR (2A/R)** 7 = 0.00000000000000E+00 FOR (2A/R)** 8 = 0.32031250000000E-01 FOR (2A/R)** 9 =-0.47070312500000E-01 FOR (2A/R)**10 =-0.32116699218750E-01 FOR (2A/R)**11 =-0.30549621582031E-01 FOR (2A/R)**12 =-0.42295455932618E-02 FOR (2A/R)**13 = 0.72791576385498E-03 FOR (2A/R)**14 = 0.26338890194893E-01 FOR (2A/R)**15 = 0.15288935229182E-01