// see below for algebraic expressions L24:=[ [ 0.26273705813750370147840494598165458919153220370106603461100678830717991566844707598414463868253391465106805495036601272556805285535715066463051157232002368336678295732978804075653419080740368036644438, 0.0, 0.0, 0.0, -0.31130563785713539665168618586152721156061085551294299127102653776098507113594579958245283218951463555243932716139292703287393369241261771981089567438265756422542386888589799644743200060674076748586992 - 0.37945006855429881311586702253226565465156647018705597015381134922896359117634238660391532495115117129343273543205728341804593196453113026612302045503103998228990678518118176613232961373791768115832352*I, 0.0, 0.0, 0.0, 0.082855773009421614658618269391755933139603776007342743174242487126644787194926701168954099563767231530646366045374920839482099726626827517219198605690949983037207570594506812284834296355294468712961702 - 0.18243861066194623010678092203150636933462163297372246875775398238364826876959467911122727827525302019502246575156781404189458919458408162914538959858338151387208456472929197592172332524416283643813254*I, 0.0, 0.0, 0.0, -0.52866383210261823522259940231196842593522085177556514983988063131799525617921337155411619640263476900799629996416590860811964750976010359499747431543346471276284097617252795456724584916844883305330163 - 0.14271674131500717900546239673630879430952837885090259134156663315171367180580806899736662784231968720585834447775423252039690271700630320207611176156898006994541111724351084481044157484736859575275008*I, 0.0, 0.0, 0.0, 0.082855773009421614658618269391755933139603776007342743174242487126644787194926701168954099563767231530646366045374920839482099726626827517219198605690949983037207570594506812284834296355294468712961702 - 0.18243861066194623010678092203150636933462163297372246875775398238364826876959467911122727827525302019502246575156781404189458919458408162914538959858338151387208456472929197592172332524416283643813254*I, 0.0, 0.0, 0.0, -0.31130563785713539665168618586152721156061085551294299127102653776098507113594579958245283218951463555243932716139292703287393369241261771981089567438265756422542386888589799644743200060674076748586992 - 0.37945006855429881311586702253226565465156647018705597015381134922896359117634238660391532495115117129343273543205728341804593196453113026612302045503103998228990678518118176613232961373791768115832352*I, 0.0, 0.0, 0.0, 0.26273705813750370147840494598165458919153220370106603461100678830717991566844707598414463868253391465106805495036601272556805285535715066463051157232002368336678295732978804075653419080740368036644438 ] ] where I:=Sqrt(ComplexField(200)!-1); // squared lengths of the multipoles: [ 0.040000, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.081354, 0.090924, 0.034845, 0.0, 0.026672, 0.016453, 0.022139, 0.051873, 0.16185, 0.0028324, 0.071415, 0.014417, 0.079217, 0.077833, 0.089058, 0.055920, 0.083200 ] // cumulative squared lengths A_M: [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.081354, 0.17228, 0.20712, 0.20712, 0.23380, 0.25025, 0.27239, 0.32426, 0.48611, 0.48894, 0.56036, 0.57478, 0.65399, 0.73182, 0.82088, 0.87680, 0.96000 ] //====================================================================== // exact values //====================================================================== L24_algebraic:=[ [1/128*sqrt(1131),0,0,0,-1/3712*sqrt(1335334)-13/9280*sqrt(73370)*sqrt(-1),0,0,0,31/3596928*sqrt(92424189)-13/1124040*sqrt(248834355)*sqrt(-1),0,0,0,-33/1498720*sqrt((42010995))*sqrt(-1)-149/599488*sqrt(4524261),0,0,0,31/3596928*sqrt(92424189)-13/1124040*sqrt(248834355)*sqrt(-1),0,0,0,-1/3712*sqrt(1335334)-13/9280*sqrt(73370)*sqrt(-1),0,0,0,1/128*sqrt(1131)] ]; // squared lengths of the multipoles: [ 1/25, 0, 0, 0, 0, 0, 0, 0, 555841/6832400, 555841/6113200, 190463/5465920, 0, 1930551/72380288, 56567511/3438063680, 69069/3119840, 115059087/2218105600, 456282203663/2819212217600, 6883877/2430355360, 1360360001/19048731200, 5637895263/391052017280, 29278091661/369591845600, 1891612437/24303553600, 2573105535/28892636368, 11672661/208739200, 1226275869/14738929280 ] // cumulative squared lengths A_M: [ 0, 0, 0, 0, 0, 0, 0, 555841/6832400, 5002569/29037700, 5064761/24452800, 5064761/24452800, 14588141/62396800, 8603740801/34380636800, 9364881181/34380636800, 768848071/2371078400, 685221280041/1409606108800, 689213928701/1409606108800, 31595222751/56384244352, 3483873822309/6061306267840, 683454228543/1045052804800, 382396781667/522526402400, 650315756229/792217448800, 64615481199/73694646400, 24/25 ]