Properties

Label 36.5.f.a.7.5
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.05951 + 2.57671i) q^{2} +(-5.87916 - 6.81436i) q^{3} +(2.72116 - 15.7669i) q^{4} +(14.3046 + 24.7763i) q^{5} +(35.5459 + 5.69969i) q^{6} +(22.2124 + 12.8243i) q^{7} +(32.3013 + 55.2506i) q^{8} +(-11.8710 + 80.1254i) q^{9} +O(q^{10})\) \(q+(-3.05951 + 2.57671i) q^{2} +(-5.87916 - 6.81436i) q^{3} +(2.72116 - 15.7669i) q^{4} +(14.3046 + 24.7763i) q^{5} +(35.5459 + 5.69969i) q^{6} +(22.2124 + 12.8243i) q^{7} +(32.3013 + 55.2506i) q^{8} +(-11.8710 + 80.1254i) q^{9} +(-107.606 - 38.9445i) q^{10} +(93.9677 + 54.2523i) q^{11} +(-123.439 + 74.1532i) q^{12} +(44.2246 + 76.5993i) q^{13} +(-101.004 + 17.9987i) q^{14} +(84.7356 - 243.141i) q^{15} +(-241.191 - 85.8084i) q^{16} +504.169 q^{17} +(-170.140 - 275.732i) q^{18} -191.405i q^{19} +(429.571 - 158.119i) q^{20} +(-43.2006 - 226.760i) q^{21} +(-427.287 + 76.1421i) q^{22} +(-831.897 + 480.296i) q^{23} +(186.593 - 544.940i) q^{24} +(-96.7443 + 167.566i) q^{25} +(-332.680 - 120.402i) q^{26} +(615.794 - 390.177i) q^{27} +(262.643 - 315.324i) q^{28} +(-396.671 + 687.053i) q^{29} +(367.254 + 962.230i) q^{30} +(-285.428 + 164.792i) q^{31} +(959.027 - 358.946i) q^{32} +(-182.757 - 959.288i) q^{33} +(-1542.51 + 1299.10i) q^{34} +733.789i q^{35} +(1231.03 + 405.202i) q^{36} +209.943 q^{37} +(493.194 + 585.604i) q^{38} +(261.971 - 751.702i) q^{39} +(-906.848 + 1590.65i) q^{40} +(-528.200 - 914.869i) q^{41} +(716.466 + 582.457i) q^{42} +(2887.45 + 1667.07i) q^{43} +(1111.09 - 1333.95i) q^{44} +(-2155.02 + 852.045i) q^{45} +(1307.61 - 3613.02i) q^{46} +(-977.185 - 564.178i) q^{47} +(833.269 + 2148.04i) q^{48} +(-871.573 - 1509.61i) q^{49} +(-135.779 - 761.951i) q^{50} +(-2964.09 - 3435.59i) q^{51} +(1328.08 - 488.847i) q^{52} +1138.62 q^{53} +(-878.655 + 2780.47i) q^{54} +3104.23i q^{55} +(8.93796 + 1641.49i) q^{56} +(-1304.30 + 1125.30i) q^{57} +(-556.720 - 3124.15i) q^{58} +(-4037.49 + 2331.05i) q^{59} +(-3603.00 - 1997.64i) q^{60} +(2799.84 - 4849.46i) q^{61} +(448.648 - 1239.65i) q^{62} +(-1291.24 + 1627.54i) q^{63} +(-2009.25 + 3569.33i) q^{64} +(-1265.23 + 2191.45i) q^{65} +(3030.95 + 2464.04i) q^{66} +(6127.74 - 3537.85i) q^{67} +(1371.92 - 7949.19i) q^{68} +(8163.76 + 2845.11i) q^{69} +(-1890.76 - 2245.03i) q^{70} -4433.42i q^{71} +(-4810.42 + 1932.28i) q^{72} -1953.21 q^{73} +(-642.322 + 540.962i) q^{74} +(1710.63 - 325.897i) q^{75} +(-3017.86 - 520.842i) q^{76} +(1391.50 + 2410.15i) q^{77} +(1135.41 + 2974.86i) q^{78} +(-1523.90 - 879.826i) q^{79} +(-1324.12 - 7203.27i) q^{80} +(-6279.16 - 1902.33i) q^{81} +(3973.38 + 1438.03i) q^{82} +(2621.64 + 1513.61i) q^{83} +(-3692.85 + 64.0924i) q^{84} +(7211.95 + 12491.5i) q^{85} +(-13129.7 + 2339.71i) q^{86} +(7013.92 - 1336.24i) q^{87} +(37.8113 + 6944.19i) q^{88} -559.336 q^{89} +(4397.84 - 8159.70i) q^{90} +2268.61i q^{91} +(5309.06 + 14423.4i) q^{92} +(2801.03 + 976.170i) q^{93} +(4443.42 - 791.814i) q^{94} +(4742.31 - 2737.97i) q^{95} +(-8084.26 - 4424.85i) q^{96} +(1100.89 - 1906.79i) q^{97} +(6556.40 + 2372.87i) q^{98} +(-5462.47 + 6885.17i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.05951 + 2.57671i −0.764877 + 0.644177i
\(3\) −5.87916 6.81436i −0.653240 0.757151i
\(4\) 2.72116 15.7669i 0.170072 0.985432i
\(5\) 14.3046 + 24.7763i 0.572185 + 0.991053i 0.996341 + 0.0854642i \(0.0272373\pi\)
−0.424156 + 0.905589i \(0.639429\pi\)
\(6\) 35.5459 + 5.69969i 0.987387 + 0.158325i
\(7\) 22.2124 + 12.8243i 0.453314 + 0.261721i 0.709229 0.704978i \(-0.249043\pi\)
−0.255915 + 0.966699i \(0.582377\pi\)
\(8\) 32.3013 + 55.2506i 0.504708 + 0.863290i
\(9\) −11.8710 + 80.1254i −0.146555 + 0.989203i
\(10\) −107.606 38.9445i −1.07606 0.389445i
\(11\) 93.9677 + 54.2523i 0.776593 + 0.448366i 0.835221 0.549914i \(-0.185339\pi\)
−0.0586287 + 0.998280i \(0.518673\pi\)
\(12\) −123.439 + 74.1532i −0.857218 + 0.514953i
\(13\) 44.2246 + 76.5993i 0.261684 + 0.453250i 0.966690 0.255952i \(-0.0823888\pi\)
−0.705005 + 0.709202i \(0.749055\pi\)
\(14\) −101.004 + 17.9987i −0.515324 + 0.0918302i
\(15\) 84.7356 243.141i 0.376603 1.08063i
\(16\) −241.191 85.8084i −0.942151 0.335189i
\(17\) 504.169 1.74453 0.872265 0.489034i \(-0.162651\pi\)
0.872265 + 0.489034i \(0.162651\pi\)
\(18\) −170.140 275.732i −0.525125 0.851025i
\(19\) 191.405i 0.530207i −0.964220 0.265104i \(-0.914594\pi\)
0.964220 0.265104i \(-0.0854062\pi\)
\(20\) 429.571 158.119i 1.07393 0.395298i
\(21\) −43.2006 226.760i −0.0979606 0.514194i
\(22\) −427.287 + 76.1421i −0.882825 + 0.157318i
\(23\) −831.897 + 480.296i −1.57258 + 0.907932i −0.576733 + 0.816933i \(0.695673\pi\)
−0.995851 + 0.0909988i \(0.970994\pi\)
\(24\) 186.593 544.940i 0.323945 0.946076i
\(25\) −96.7443 + 167.566i −0.154791 + 0.268106i
\(26\) −332.680 120.402i −0.492129 0.178110i
\(27\) 615.794 390.177i 0.844711 0.535222i
\(28\) 262.643 315.324i 0.335004 0.402199i
\(29\) −396.671 + 687.053i −0.471665 + 0.816948i −0.999475 0.0324147i \(-0.989680\pi\)
0.527809 + 0.849363i \(0.323014\pi\)
\(30\) 367.254 + 962.230i 0.408060 + 1.06914i
\(31\) −285.428 + 164.792i −0.297011 + 0.171480i −0.641099 0.767458i \(-0.721521\pi\)
0.344088 + 0.938937i \(0.388188\pi\)
\(32\) 959.027 358.946i 0.936550 0.350534i
\(33\) −182.757 959.288i −0.167821 0.880888i
\(34\) −1542.51 + 1299.10i −1.33435 + 1.12379i
\(35\) 733.789i 0.599011i
\(36\) 1231.03 + 405.202i 0.949866 + 0.312656i
\(37\) 209.943 0.153355 0.0766775 0.997056i \(-0.475569\pi\)
0.0766775 + 0.997056i \(0.475569\pi\)
\(38\) 493.194 + 585.604i 0.341547 + 0.405543i
\(39\) 261.971 751.702i 0.172236 0.494216i
\(40\) −906.848 + 1590.65i −0.566780 + 0.994154i
\(41\) −528.200 914.869i −0.314218 0.544241i 0.665053 0.746796i \(-0.268409\pi\)
−0.979271 + 0.202555i \(0.935076\pi\)
\(42\) 716.466 + 582.457i 0.406160 + 0.330191i
\(43\) 2887.45 + 1667.07i 1.56163 + 0.901608i 0.997093 + 0.0762001i \(0.0242788\pi\)
0.564537 + 0.825407i \(0.309055\pi\)
\(44\) 1111.09 1333.95i 0.573911 0.689024i
\(45\) −2155.02 + 852.045i −1.06421 + 0.420763i
\(46\) 1307.61 3613.02i 0.617964 1.70748i
\(47\) −977.185 564.178i −0.442365 0.255400i 0.262235 0.965004i \(-0.415540\pi\)
−0.704600 + 0.709604i \(0.748874\pi\)
\(48\) 833.269 + 2148.04i 0.361662 + 0.932309i
\(49\) −871.573 1509.61i −0.363004 0.628742i
\(50\) −135.779 761.951i −0.0543116 0.304780i
\(51\) −2964.09 3435.59i −1.13960 1.32087i
\(52\) 1328.08 488.847i 0.491152 0.180787i
\(53\) 1138.62 0.405346 0.202673 0.979247i \(-0.435037\pi\)
0.202673 + 0.979247i \(0.435037\pi\)
\(54\) −878.655 + 2780.47i −0.301322 + 0.953522i
\(55\) 3104.23i 1.02619i
\(56\) 8.93796 + 1641.49i 0.00285011 + 0.523434i
\(57\) −1304.30 + 1125.30i −0.401447 + 0.346353i
\(58\) −556.720 3124.15i −0.165493 0.928700i
\(59\) −4037.49 + 2331.05i −1.15987 + 0.669648i −0.951272 0.308354i \(-0.900222\pi\)
−0.208593 + 0.978002i \(0.566889\pi\)
\(60\) −3603.00 1997.64i −1.00083 0.554901i
\(61\) 2799.84 4849.46i 0.752442 1.30327i −0.194193 0.980963i \(-0.562209\pi\)
0.946636 0.322305i \(-0.104458\pi\)
\(62\) 448.648 1239.65i 0.116714 0.322488i
\(63\) −1291.24 + 1627.54i −0.325331 + 0.410063i
\(64\) −2009.25 + 3569.33i −0.490540 + 0.871419i
\(65\) −1265.23 + 2191.45i −0.299463 + 0.518686i
\(66\) 3030.95 + 2464.04i 0.695810 + 0.565665i
\(67\) 6127.74 3537.85i 1.36506 0.788116i 0.374764 0.927120i \(-0.377724\pi\)
0.990292 + 0.139004i \(0.0443902\pi\)
\(68\) 1371.92 7949.19i 0.296696 1.71911i
\(69\) 8163.76 + 2845.11i 1.71472 + 0.597586i
\(70\) −1890.76 2245.03i −0.385869 0.458170i
\(71\) 4433.42i 0.879472i −0.898127 0.439736i \(-0.855072\pi\)
0.898127 0.439736i \(-0.144928\pi\)
\(72\) −4810.42 + 1932.28i −0.927936 + 0.372739i
\(73\) −1953.21 −0.366524 −0.183262 0.983064i \(-0.558666\pi\)
−0.183262 + 0.983064i \(0.558666\pi\)
\(74\) −642.322 + 540.962i −0.117298 + 0.0987878i
\(75\) 1710.63 325.897i 0.304112 0.0579373i
\(76\) −3017.86 520.842i −0.522483 0.0901735i
\(77\) 1391.50 + 2410.15i 0.234694 + 0.406501i
\(78\) 1135.41 + 2974.86i 0.186623 + 0.488965i
\(79\) −1523.90 879.826i −0.244176 0.140975i 0.372918 0.927864i \(-0.378357\pi\)
−0.617095 + 0.786889i \(0.711690\pi\)
\(80\) −1324.12 7203.27i −0.206894 1.12551i
\(81\) −6279.16 1902.33i −0.957043 0.289945i
\(82\) 3973.38 + 1438.03i 0.590925 + 0.213865i
\(83\) 2621.64 + 1513.61i 0.380555 + 0.219714i 0.678060 0.735007i \(-0.262821\pi\)
−0.297505 + 0.954720i \(0.596154\pi\)
\(84\) −3692.85 + 64.0924i −0.523363 + 0.00908338i
\(85\) 7211.95 + 12491.5i 0.998193 + 1.72892i
\(86\) −13129.7 + 2339.71i −1.77525 + 0.316348i
\(87\) 7013.92 1336.24i 0.926664 0.176541i
\(88\) 37.8113 + 6944.19i 0.00488266 + 0.896719i
\(89\) −559.336 −0.0706144 −0.0353072 0.999377i \(-0.511241\pi\)
−0.0353072 + 0.999377i \(0.511241\pi\)
\(90\) 4397.84 8159.70i 0.542943 1.00737i
\(91\) 2268.61i 0.273953i
\(92\) 5309.06 + 14423.4i 0.627252 + 1.70409i
\(93\) 2801.03 + 976.170i 0.323855 + 0.112865i
\(94\) 4443.42 791.814i 0.502877 0.0896122i
\(95\) 4742.31 2737.97i 0.525463 0.303376i
\(96\) −8084.26 4424.85i −0.877199 0.480127i
\(97\) 1100.89 1906.79i 0.117004 0.202656i −0.801575 0.597894i \(-0.796004\pi\)
0.918579 + 0.395238i \(0.129338\pi\)
\(98\) 6556.40 + 2372.87i 0.682674 + 0.247071i
\(99\) −5462.47 + 6885.17i −0.557338 + 0.702497i
\(100\) 2378.74 + 1981.33i 0.237874 + 0.198133i
\(101\) 365.841 633.655i 0.0358632 0.0621170i −0.847537 0.530737i \(-0.821915\pi\)
0.883400 + 0.468620i \(0.155249\pi\)
\(102\) 17921.2 + 2873.61i 1.72253 + 0.276202i
\(103\) −8533.78 + 4926.98i −0.804391 + 0.464415i −0.845004 0.534760i \(-0.820402\pi\)
0.0406134 + 0.999175i \(0.487069\pi\)
\(104\) −2803.64 + 4917.69i −0.259212 + 0.454668i
\(105\) 5000.30 4314.06i 0.453542 0.391298i
\(106\) −3483.60 + 2933.88i −0.310039 + 0.261114i
\(107\) 804.642i 0.0702806i −0.999382 0.0351403i \(-0.988812\pi\)
0.999382 0.0351403i \(-0.0111878\pi\)
\(108\) −4476.21 10770.9i −0.383763 0.923432i
\(109\) −17324.9 −1.45820 −0.729102 0.684405i \(-0.760062\pi\)
−0.729102 + 0.684405i \(0.760062\pi\)
\(110\) −7998.70 9497.42i −0.661050 0.784911i
\(111\) −1234.29 1430.63i −0.100178 0.116113i
\(112\) −4256.99 4999.12i −0.339364 0.398527i
\(113\) −8573.94 14850.5i −0.671465 1.16301i −0.977489 0.210988i \(-0.932332\pi\)
0.306024 0.952024i \(-0.401001\pi\)
\(114\) 1090.95 6803.66i 0.0839450 0.523520i
\(115\) −23799.9 13740.9i −1.79962 1.03901i
\(116\) 9753.31 + 8123.85i 0.724829 + 0.603734i
\(117\) −6662.54 + 2634.21i −0.486707 + 0.192433i
\(118\) 6346.30 17535.3i 0.455782 1.25936i
\(119\) 11198.8 + 6465.63i 0.790820 + 0.456580i
\(120\) 16170.7 3172.08i 1.12297 0.220283i
\(121\) −1433.88 2483.55i −0.0979359 0.169630i
\(122\) 3929.52 + 22051.3i 0.264010 + 1.48155i
\(123\) −3128.87 + 8978.01i −0.206813 + 0.593430i
\(124\) 1821.56 + 4948.74i 0.118468 + 0.321848i
\(125\) 12345.2 0.790094
\(126\) −243.147 8306.61i −0.0153154 0.523218i
\(127\) 9591.51i 0.594675i −0.954772 0.297337i \(-0.903901\pi\)
0.954772 0.297337i \(-0.0960986\pi\)
\(128\) −3049.81 16097.6i −0.186146 0.982522i
\(129\) −5615.78 29477.1i −0.337466 1.77136i
\(130\) −1775.73 9964.88i −0.105073 0.589638i
\(131\) 3933.27 2270.88i 0.229198 0.132328i −0.381004 0.924573i \(-0.624422\pi\)
0.610202 + 0.792246i \(0.291088\pi\)
\(132\) −15622.3 + 271.138i −0.896597 + 0.0155612i
\(133\) 2454.64 4251.56i 0.138766 0.240350i
\(134\) −9631.84 + 26613.5i −0.536414 + 1.48215i
\(135\) 18475.9 + 9675.79i 1.01376 + 0.530908i
\(136\) 16285.3 + 27855.6i 0.880478 + 1.50604i
\(137\) 2450.82 4244.95i 0.130578 0.226168i −0.793321 0.608803i \(-0.791650\pi\)
0.923900 + 0.382635i \(0.124983\pi\)
\(138\) −32308.1 + 12331.0i −1.69650 + 0.647501i
\(139\) 7491.80 4325.39i 0.387754 0.223870i −0.293432 0.955980i \(-0.594798\pi\)
0.681187 + 0.732110i \(0.261464\pi\)
\(140\) 11569.6 + 1996.75i 0.590285 + 0.101875i
\(141\) 1900.52 + 9975.78i 0.0955946 + 0.501775i
\(142\) 11423.6 + 13564.1i 0.566535 + 0.672687i
\(143\) 9597.15i 0.469321i
\(144\) 9738.60 18306.9i 0.469647 0.882854i
\(145\) −22696.9 −1.07952
\(146\) 5975.85 5032.84i 0.280346 0.236106i
\(147\) −5162.90 + 14814.4i −0.238923 + 0.685568i
\(148\) 571.288 3310.15i 0.0260814 0.151121i
\(149\) 6346.46 + 10992.4i 0.285863 + 0.495130i 0.972818 0.231570i \(-0.0743863\pi\)
−0.686955 + 0.726700i \(0.741053\pi\)
\(150\) −4393.94 + 5404.88i −0.195286 + 0.240217i
\(151\) −11055.3 6382.78i −0.484860 0.279934i 0.237579 0.971368i \(-0.423646\pi\)
−0.722440 + 0.691434i \(0.756979\pi\)
\(152\) 10575.2 6182.63i 0.457723 0.267600i
\(153\) −5984.97 + 40396.8i −0.255670 + 1.72569i
\(154\) −10467.5 3788.37i −0.441370 0.159739i
\(155\) −8165.87 4714.57i −0.339891 0.196236i
\(156\) −11139.1 6175.98i −0.457723 0.253779i
\(157\) 20283.0 + 35131.2i 0.822873 + 1.42526i 0.903534 + 0.428516i \(0.140963\pi\)
−0.0806612 + 0.996742i \(0.525703\pi\)
\(158\) 6929.45 1234.82i 0.277578 0.0494641i
\(159\) −6694.10 7758.93i −0.264788 0.306908i
\(160\) 22611.9 + 18626.6i 0.883277 + 0.727601i
\(161\) −24637.9 −0.950499
\(162\) 24112.9 10359.4i 0.918796 0.394733i
\(163\) 6872.98i 0.258684i 0.991600 + 0.129342i \(0.0412865\pi\)
−0.991600 + 0.129342i \(0.958713\pi\)
\(164\) −15862.0 + 5838.58i −0.589752 + 0.217080i
\(165\) 21153.4 18250.3i 0.776983 0.670350i
\(166\) −11921.1 + 2124.32i −0.432612 + 0.0770910i
\(167\) 30405.5 17554.6i 1.09023 0.629447i 0.156595 0.987663i \(-0.449948\pi\)
0.933639 + 0.358216i \(0.116615\pi\)
\(168\) 11133.2 9711.49i 0.394457 0.344086i
\(169\) 10368.9 17959.4i 0.363043 0.628809i
\(170\) −54251.8 19634.6i −1.87723 0.679398i
\(171\) 15336.4 + 2272.16i 0.524482 + 0.0777045i
\(172\) 34141.8 40989.9i 1.15406 1.38554i
\(173\) −1491.72 + 2583.74i −0.0498420 + 0.0863290i −0.889870 0.456214i \(-0.849205\pi\)
0.840028 + 0.542543i \(0.182538\pi\)
\(174\) −18016.0 + 22161.1i −0.595059 + 0.731968i
\(175\) −4297.84 + 2481.36i −0.140338 + 0.0810240i
\(176\) −18008.8 21148.4i −0.581380 0.682734i
\(177\) 39621.6 + 13808.3i 1.26470 + 0.440752i
\(178\) 1711.29 1441.25i 0.0540113 0.0454881i
\(179\) 45199.3i 1.41067i −0.708874 0.705335i \(-0.750797\pi\)
0.708874 0.705335i \(-0.249203\pi\)
\(180\) 7569.96 + 36296.6i 0.233641 + 1.12027i
\(181\) 27600.9 0.842492 0.421246 0.906946i \(-0.361593\pi\)
0.421246 + 0.906946i \(0.361593\pi\)
\(182\) −5845.53 6940.81i −0.176474 0.209540i
\(183\) −49506.7 + 9431.66i −1.47830 + 0.281635i
\(184\) −53408.0 30448.6i −1.57750 0.899356i
\(185\) 3003.16 + 5201.62i 0.0877474 + 0.151983i
\(186\) −11085.1 + 4230.83i −0.320415 + 0.122292i
\(187\) 47375.6 + 27352.3i 1.35479 + 0.782188i
\(188\) −11554.4 + 13872.0i −0.326913 + 0.392484i
\(189\) 18682.0 769.615i 0.522999 0.0215452i
\(190\) −7454.16 + 20596.4i −0.206487 + 0.570537i
\(191\) −16300.9 9411.33i −0.446833 0.257979i 0.259659 0.965700i \(-0.416390\pi\)
−0.706492 + 0.707721i \(0.749723\pi\)
\(192\) 36135.4 7292.92i 0.980236 0.197833i
\(193\) −4727.11 8187.59i −0.126906 0.219807i 0.795571 0.605861i \(-0.207171\pi\)
−0.922476 + 0.386054i \(0.873838\pi\)
\(194\) 1545.08 + 8670.52i 0.0410532 + 0.230378i
\(195\) 22371.8 4262.12i 0.588345 0.112087i
\(196\) −26173.5 + 9634.13i −0.681319 + 0.250784i
\(197\) −21650.0 −0.557860 −0.278930 0.960311i \(-0.589980\pi\)
−0.278930 + 0.960311i \(0.589980\pi\)
\(198\) −1028.61 35140.4i −0.0262374 0.896348i
\(199\) 25261.4i 0.637898i 0.947772 + 0.318949i \(0.103330\pi\)
−0.947772 + 0.318949i \(0.896670\pi\)
\(200\) −12383.1 + 67.4262i −0.309577 + 0.00168566i
\(201\) −60134.1 20957.0i −1.48843 0.518725i
\(202\) 513.451 + 2881.34i 0.0125834 + 0.0706141i
\(203\) −17622.0 + 10174.1i −0.427625 + 0.246889i
\(204\) −62234.4 + 37385.8i −1.49544 + 0.898351i
\(205\) 15111.4 26173.7i 0.359581 0.622813i
\(206\) 13413.8 37063.2i 0.316094 0.873390i
\(207\) −28608.5 72357.6i −0.667658 1.68867i
\(208\) −4093.70 22269.9i −0.0946214 0.514744i
\(209\) 10384.1 17985.9i 0.237727 0.411755i
\(210\) −4182.37 + 26083.2i −0.0948384 + 0.591456i
\(211\) 18674.0 10781.5i 0.419443 0.242166i −0.275396 0.961331i \(-0.588809\pi\)
0.694839 + 0.719165i \(0.255476\pi\)
\(212\) 3098.35 17952.4i 0.0689380 0.399440i
\(213\) −30210.9 + 26064.8i −0.665893 + 0.574506i
\(214\) 2073.33 + 2461.81i 0.0452731 + 0.0537559i
\(215\) 95387.3i 2.06354i
\(216\) 41448.5 + 21419.8i 0.888385 + 0.459100i
\(217\) −8453.38 −0.179519
\(218\) 53005.7 44641.3i 1.11535 0.939342i
\(219\) 11483.2 + 13309.8i 0.239428 + 0.277514i
\(220\) 48944.2 + 8447.10i 1.01124 + 0.174527i
\(221\) 22296.7 + 38619.0i 0.456516 + 0.790709i
\(222\) 7462.62 + 1196.61i 0.151421 + 0.0242799i
\(223\) 16709.5 + 9647.22i 0.336011 + 0.193996i 0.658507 0.752575i \(-0.271188\pi\)
−0.322496 + 0.946571i \(0.604522\pi\)
\(224\) 25905.5 + 4325.83i 0.516293 + 0.0862130i
\(225\) −12277.8 9740.84i −0.242525 0.192412i
\(226\) 64497.4 + 23342.7i 1.26277 + 0.457018i
\(227\) −56144.4 32415.0i −1.08957 0.629063i −0.156107 0.987740i \(-0.549895\pi\)
−0.933462 + 0.358677i \(0.883228\pi\)
\(228\) 14193.3 + 23626.9i 0.273032 + 0.454503i
\(229\) −19575.4 33905.7i −0.373285 0.646549i 0.616784 0.787133i \(-0.288435\pi\)
−0.990069 + 0.140584i \(0.955102\pi\)
\(230\) 108222. 19285.1i 2.04579 0.364558i
\(231\) 8242.76 23651.8i 0.154472 0.443241i
\(232\) −50773.1 + 276.461i −0.943317 + 0.00513639i
\(233\) −2307.53 −0.0425045 −0.0212522 0.999774i \(-0.506765\pi\)
−0.0212522 + 0.999774i \(0.506765\pi\)
\(234\) 13596.5 25226.8i 0.248311 0.460713i
\(235\) 32281.4i 0.584543i
\(236\) 25766.7 + 70001.9i 0.462632 + 1.25686i
\(237\) 2963.82 + 15557.1i 0.0527662 + 0.276969i
\(238\) −50922.8 + 9074.40i −0.898998 + 0.160201i
\(239\) −65999.7 + 38104.9i −1.15544 + 0.667091i −0.950206 0.311623i \(-0.899128\pi\)
−0.205230 + 0.978714i \(0.565794\pi\)
\(240\) −41301.0 + 51372.3i −0.717031 + 0.891879i
\(241\) −8157.12 + 14128.5i −0.140444 + 0.243256i −0.927664 0.373416i \(-0.878186\pi\)
0.787220 + 0.616672i \(0.211520\pi\)
\(242\) 10786.3 + 3903.75i 0.184180 + 0.0666579i
\(243\) 23953.0 + 53972.6i 0.405647 + 0.914030i
\(244\) −68842.2 57340.9i −1.15631 0.963130i
\(245\) 24935.0 43188.8i 0.415411 0.719513i
\(246\) −13560.9 35530.5i −0.224088 0.587125i
\(247\) 14661.5 8464.81i 0.240317 0.138747i
\(248\) −18324.5 10447.1i −0.297941 0.169860i
\(249\) −5098.80 26763.6i −0.0822375 0.431663i
\(250\) −37770.3 + 31810.0i −0.604324 + 0.508960i
\(251\) 33833.6i 0.537033i 0.963275 + 0.268517i \(0.0865334\pi\)
−0.963275 + 0.268517i \(0.913467\pi\)
\(252\) 22147.6 + 24787.6i 0.348759 + 0.390331i
\(253\) −104229. −1.62834
\(254\) 24714.5 + 29345.3i 0.383076 + 0.454853i
\(255\) 42721.1 122584.i 0.656995 1.88518i
\(256\) 50809.8 + 41392.4i 0.775297 + 0.631597i
\(257\) 28773.1 + 49836.4i 0.435632 + 0.754537i 0.997347 0.0727940i \(-0.0231916\pi\)
−0.561715 + 0.827331i \(0.689858\pi\)
\(258\) 93135.4 + 75715.2i 1.39919 + 1.13748i
\(259\) 4663.34 + 2692.38i 0.0695180 + 0.0401362i
\(260\) 31109.5 + 25912.1i 0.460199 + 0.383315i
\(261\) −50341.6 39939.4i −0.739002 0.586300i
\(262\) −6182.49 + 17082.6i −0.0900659 + 0.248859i
\(263\) 68019.2 + 39270.9i 0.983378 + 0.567753i 0.903288 0.429034i \(-0.141146\pi\)
0.0800895 + 0.996788i \(0.474479\pi\)
\(264\) 47097.9 41083.7i 0.675762 0.589469i
\(265\) 16287.5 + 28210.7i 0.231933 + 0.401719i
\(266\) 3445.04 + 19332.6i 0.0486890 + 0.273229i
\(267\) 3288.43 + 3811.52i 0.0461281 + 0.0534657i
\(268\) −39106.4 106242.i −0.544476 1.47921i
\(269\) −5376.96 −0.0743074 −0.0371537 0.999310i \(-0.511829\pi\)
−0.0371537 + 0.999310i \(0.511829\pi\)
\(270\) −81458.7 + 18003.8i −1.11740 + 0.246965i
\(271\) 108113.i 1.47211i 0.676924 + 0.736053i \(0.263312\pi\)
−0.676924 + 0.736053i \(0.736688\pi\)
\(272\) −121601. 43261.9i −1.64361 0.584747i
\(273\) 15459.1 13337.5i 0.207424 0.178957i
\(274\) 3439.68 + 19302.5i 0.0458160 + 0.257106i
\(275\) −18181.7 + 10497.2i −0.240419 + 0.138806i
\(276\) 67073.4 120975.i 0.880506 1.58810i
\(277\) 21971.1 38055.1i 0.286347 0.495968i −0.686588 0.727047i \(-0.740892\pi\)
0.972935 + 0.231079i \(0.0742255\pi\)
\(278\) −11775.9 + 32537.8i −0.152372 + 0.421015i
\(279\) −9815.71 24826.3i −0.126099 0.318935i
\(280\) −40542.2 + 23702.3i −0.517120 + 0.302326i
\(281\) −25435.7 + 44055.9i −0.322130 + 0.557945i −0.980927 0.194375i \(-0.937732\pi\)
0.658798 + 0.752320i \(0.271065\pi\)
\(282\) −31519.3 25623.9i −0.396350 0.322216i
\(283\) 22858.8 13197.5i 0.285418 0.164786i −0.350456 0.936579i \(-0.613973\pi\)
0.635873 + 0.771793i \(0.280640\pi\)
\(284\) −69901.3 12064.0i −0.866659 0.149574i
\(285\) −46538.3 16218.8i −0.572956 0.199678i
\(286\) −24729.0 29362.5i −0.302326 0.358973i
\(287\) 27095.2i 0.328950i
\(288\) 17376.2 + 81103.5i 0.209493 + 0.977810i
\(289\) 170665. 2.04338
\(290\) 69441.2 58483.2i 0.825699 0.695401i
\(291\) −19465.9 + 3708.50i −0.229873 + 0.0437938i
\(292\) −5314.98 + 30796.0i −0.0623356 + 0.361184i
\(293\) −65395.3 113268.i −0.761748 1.31939i −0.941949 0.335757i \(-0.891008\pi\)
0.180201 0.983630i \(-0.442325\pi\)
\(294\) −22376.6 58628.2i −0.258880 0.678284i
\(295\) −115510. 66689.5i −1.32731 0.766325i
\(296\) 6781.44 + 11599.5i 0.0773995 + 0.132390i
\(297\) 79032.8 3255.79i 0.895972 0.0369100i
\(298\) −47741.2 17278.3i −0.537602 0.194567i
\(299\) −73580.7 42481.8i −0.823041 0.475183i
\(300\) −483.500 27858.2i −0.00537223 0.309535i
\(301\) 42758.2 + 74059.3i 0.471939 + 0.817423i
\(302\) 50270.3 8958.12i 0.551186 0.0982207i
\(303\) −6468.79 + 1232.39i −0.0704592 + 0.0134234i
\(304\) −16424.1 + 46165.0i −0.177720 + 0.499535i
\(305\) 160202. 1.72214
\(306\) −85779.6 139016.i −0.916096 1.48464i
\(307\) 54227.3i 0.575362i −0.957726 0.287681i \(-0.907116\pi\)
0.957726 0.287681i \(-0.0928843\pi\)
\(308\) 41787.0 15381.2i 0.440494 0.162140i
\(309\) 83745.7 + 29185.7i 0.877093 + 0.305671i
\(310\) 37131.6 6616.81i 0.386385 0.0688534i
\(311\) 117745. 67980.1i 1.21737 0.702847i 0.253013 0.967463i \(-0.418578\pi\)
0.964354 + 0.264616i \(0.0852451\pi\)
\(312\) 49994.0 9806.89i 0.513581 0.100745i
\(313\) −82194.2 + 142364.i −0.838981 + 1.45316i 0.0517658 + 0.998659i \(0.483515\pi\)
−0.890747 + 0.454499i \(0.849818\pi\)
\(314\) −152579. 55220.7i −1.54751 0.560070i
\(315\) −58795.1 8710.77i −0.592543 0.0877881i
\(316\) −18018.9 + 21633.1i −0.180449 + 0.216643i
\(317\) −60309.5 + 104459.i −0.600160 + 1.03951i 0.392637 + 0.919694i \(0.371563\pi\)
−0.992796 + 0.119814i \(0.961770\pi\)
\(318\) 40473.2 + 6489.76i 0.400233 + 0.0641763i
\(319\) −74548.4 + 43040.6i −0.732584 + 0.422957i
\(320\) −117176. + 1276.10i −1.14430 + 0.0124619i
\(321\) −5483.12 + 4730.62i −0.0532130 + 0.0459101i
\(322\) 75379.8 63484.6i 0.727015 0.612290i
\(323\) 96500.4i 0.924962i
\(324\) −47080.4 + 93826.4i −0.448488 + 0.893789i
\(325\) −17113.9 −0.162025
\(326\) −17709.6 21027.9i −0.166638 0.197861i
\(327\) 101856. + 118058.i 0.952557 + 1.10408i
\(328\) 33485.5 58734.8i 0.311250 0.545944i
\(329\) −14470.4 25063.5i −0.133687 0.231553i
\(330\) −17693.2 + 110343.i −0.162472 + 1.01325i
\(331\) 100184. + 57841.2i 0.914412 + 0.527936i 0.881848 0.471534i \(-0.156299\pi\)
0.0325639 + 0.999470i \(0.489633\pi\)
\(332\) 30998.8 37216.5i 0.281235 0.337644i
\(333\) −2492.23 + 16821.8i −0.0224750 + 0.151699i
\(334\) −47792.7 + 132055.i −0.428419 + 1.18375i
\(335\) 175310. + 101215.i 1.56213 + 0.901895i
\(336\) −9038.28 + 58399.2i −0.0800585 + 0.517284i
\(337\) −93868.0 162584.i −0.826528 1.43159i −0.900746 0.434347i \(-0.856979\pi\)
0.0742175 0.997242i \(-0.476354\pi\)
\(338\) 14552.5 + 81664.4i 0.127381 + 0.714825i
\(339\) −50789.1 + 145734.i −0.441948 + 1.26813i
\(340\) 216576. 79718.9i 1.87350 0.689610i
\(341\) −35761.3 −0.307542
\(342\) −52776.5 + 32565.7i −0.451220 + 0.278425i
\(343\) 106292.i 0.903465i
\(344\) 1161.87 + 213382.i 0.00981841 + 1.80319i
\(345\) 46288.2 + 242966.i 0.388895 + 2.04130i
\(346\) −2093.61 11748.7i −0.0174881 0.0981381i
\(347\) −117124. + 67621.8i −0.972721 + 0.561601i −0.900065 0.435756i \(-0.856481\pi\)
−0.0726566 + 0.997357i \(0.523148\pi\)
\(348\) −1982.45 114224.i −0.0163698 0.943189i
\(349\) −1651.44 + 2860.38i −0.0135585 + 0.0234841i −0.872725 0.488212i \(-0.837649\pi\)
0.859167 + 0.511696i \(0.170983\pi\)
\(350\) 6755.54 18666.0i 0.0551472 0.152376i
\(351\) 57120.6 + 29914.0i 0.463637 + 0.242806i
\(352\) 109591. + 18300.1i 0.884485 + 0.147695i
\(353\) −21366.4 + 37007.7i −0.171467 + 0.296990i −0.938933 0.344100i \(-0.888184\pi\)
0.767466 + 0.641090i \(0.221517\pi\)
\(354\) −156803. + 59846.8i −1.25126 + 0.477567i
\(355\) 109844. 63418.4i 0.871603 0.503220i
\(356\) −1522.04 + 8819.00i −0.0120095 + 0.0695856i
\(357\) −21780.4 114325.i −0.170895 0.897027i
\(358\) 116465. + 138287.i 0.908721 + 1.07899i
\(359\) 175816.i 1.36418i −0.731270 0.682088i \(-0.761072\pi\)
0.731270 0.682088i \(-0.238928\pi\)
\(360\) −116686. 91544.1i −0.900355 0.706359i
\(361\) 93685.2 0.718880
\(362\) −84445.1 + 71119.4i −0.644402 + 0.542714i
\(363\) −8493.80 + 24372.2i −0.0644598 + 0.184961i
\(364\) 35768.9 + 6173.23i 0.269962 + 0.0465918i
\(365\) −27939.9 48393.3i −0.209719 0.363245i
\(366\) 127163. 156420.i 0.949292 1.16770i
\(367\) 6867.31 + 3964.84i 0.0509864 + 0.0294370i 0.525277 0.850932i \(-0.323962\pi\)
−0.474290 + 0.880369i \(0.657295\pi\)
\(368\) 241859. 44459.1i 1.78594 0.328296i
\(369\) 79574.5 31461.9i 0.584415 0.231064i
\(370\) −22591.2 8176.13i −0.165020 0.0597234i
\(371\) 25291.4 + 14602.0i 0.183749 + 0.106087i
\(372\) 23013.2 41507.2i 0.166300 0.299942i
\(373\) −123336. 213624.i −0.886486 1.53544i −0.844001 0.536342i \(-0.819806\pi\)
−0.0424851 0.999097i \(-0.513527\pi\)
\(374\) −215425. + 38388.5i −1.54011 + 0.274447i
\(375\) −72579.5 84124.7i −0.516121 0.598220i
\(376\) −393.206 72213.7i −0.00278128 0.510792i
\(377\) −70170.4 −0.493709
\(378\) −55174.7 + 50492.8i −0.386150 + 0.353383i
\(379\) 147423.i 1.02633i −0.858291 0.513163i \(-0.828474\pi\)
0.858291 0.513163i \(-0.171526\pi\)
\(380\) −30264.8 82222.0i −0.209590 0.569404i
\(381\) −65360.0 + 56390.0i −0.450258 + 0.388465i
\(382\) 74123.0 13208.6i 0.507956 0.0905172i
\(383\) 105968. 61180.9i 0.722402 0.417079i −0.0932341 0.995644i \(-0.529720\pi\)
0.815636 + 0.578565i \(0.196387\pi\)
\(384\) −91764.8 + 115423.i −0.622320 + 0.782763i
\(385\) −39809.7 + 68952.5i −0.268576 + 0.465188i
\(386\) 35559.6 + 12869.6i 0.238662 + 0.0863755i
\(387\) −167852. + 211569.i −1.12074 + 1.41263i
\(388\) −27068.6 22546.3i −0.179805 0.149765i
\(389\) 91728.1 158878.i 0.606182 1.04994i −0.385682 0.922632i \(-0.626034\pi\)
0.991863 0.127306i \(-0.0406330\pi\)
\(390\) −57464.5 + 70685.6i −0.377807 + 0.464731i
\(391\) −419417. + 242150.i −2.74342 + 1.58391i
\(392\) 55253.8 96917.3i 0.359575 0.630709i
\(393\) −38598.9 13451.9i −0.249914 0.0870959i
\(394\) 66238.3 55785.7i 0.426694 0.359361i
\(395\) 50342.3i 0.322656i
\(396\) 93693.7 + 104862.i 0.597475 + 0.668694i
\(397\) 81466.1 0.516887 0.258444 0.966026i \(-0.416790\pi\)
0.258444 + 0.966026i \(0.416790\pi\)
\(398\) −65091.2 77287.4i −0.410919 0.487913i
\(399\) −43402.9 + 8268.81i −0.272629 + 0.0519394i
\(400\) 37712.4 32113.9i 0.235702 0.200712i
\(401\) −100584. 174217.i −0.625518 1.08343i −0.988440 0.151610i \(-0.951554\pi\)
0.362922 0.931820i \(-0.381779\pi\)
\(402\) 237981. 90830.0i 1.47262 0.562053i
\(403\) −25245.9 14575.7i −0.155446 0.0897469i
\(404\) −8995.27 7492.45i −0.0551127 0.0459051i
\(405\) −42688.2 182787.i −0.260254 1.11438i
\(406\) 27699.0 76534.4i 0.168040 0.464306i
\(407\) 19727.9 + 11389.9i 0.119094 + 0.0687592i
\(408\) 94074.2 274742.i 0.565132 1.65046i
\(409\) 70320.1 + 121798.i 0.420371 + 0.728104i 0.995976 0.0896241i \(-0.0285666\pi\)
−0.575605 + 0.817728i \(0.695233\pi\)
\(410\) 21208.6 + 119016.i 0.126166 + 0.708009i
\(411\) −43335.4 + 8255.95i −0.256542 + 0.0488746i
\(412\) 54461.5 + 147958.i 0.320845 + 0.871656i
\(413\) −119576. −0.701044
\(414\) 273972. + 147663.i 1.59848 + 0.861531i
\(415\) 86606.3i 0.502867i
\(416\) 69907.7 + 57586.6i 0.403960 + 0.332763i
\(417\) −73520.3 25622.1i −0.422800 0.147348i
\(418\) 14574.0 + 81784.8i 0.0834114 + 0.468080i
\(419\) 133102. 76846.6i 0.758154 0.437720i −0.0704785 0.997513i \(-0.522453\pi\)
0.828633 + 0.559793i \(0.189119\pi\)
\(420\) −54412.8 90578.5i −0.308463 0.513483i
\(421\) −77206.0 + 133725.i −0.435599 + 0.754479i −0.997344 0.0728309i \(-0.976797\pi\)
0.561746 + 0.827310i \(0.310130\pi\)
\(422\) −29352.6 + 81103.5i −0.164825 + 0.455422i
\(423\) 56805.1 71600.0i 0.317473 0.400159i
\(424\) 36778.8 + 62909.2i 0.204581 + 0.349931i
\(425\) −48775.5 + 84481.6i −0.270037 + 0.467718i
\(426\) 25269.1 157590.i 0.139242 0.868379i
\(427\) 124382. 71812.1i 0.682186 0.393860i
\(428\) −12686.7 2189.56i −0.0692567 0.0119528i
\(429\) 65398.4 56423.2i 0.355347 0.306579i
\(430\) −245785. 291838.i −1.32929 1.57836i
\(431\) 191579.i 1.03132i 0.856793 + 0.515660i \(0.172453\pi\)
−0.856793 + 0.515660i \(0.827547\pi\)
\(432\) −182004. + 41266.7i −0.975246 + 0.221122i
\(433\) −53963.8 −0.287824 −0.143912 0.989591i \(-0.545968\pi\)
−0.143912 + 0.989591i \(0.545968\pi\)
\(434\) 25863.2 21781.9i 0.137310 0.115642i
\(435\) 133439. + 154665.i 0.705185 + 0.817359i
\(436\) −47143.8 + 273160.i −0.248000 + 1.43696i
\(437\) 91930.9 + 159229.i 0.481392 + 0.833795i
\(438\) −69428.6 11132.7i −0.361901 0.0580299i
\(439\) −14586.4 8421.44i −0.0756864 0.0436976i 0.461679 0.887047i \(-0.347247\pi\)
−0.537366 + 0.843349i \(0.680580\pi\)
\(440\) −171511. + 100271.i −0.885902 + 0.517928i
\(441\) 131304. 51914.6i 0.675153 0.266939i
\(442\) −167727. 60703.0i −0.858534 0.310718i
\(443\) −140111. 80892.9i −0.713943 0.412195i 0.0985761 0.995130i \(-0.468571\pi\)
−0.812519 + 0.582934i \(0.801905\pi\)
\(444\) −25915.3 + 15568.0i −0.131459 + 0.0789706i
\(445\) −8001.09 13858.3i −0.0404045 0.0699826i
\(446\) −75980.8 + 13539.7i −0.381974 + 0.0680674i
\(447\) 37594.2 107873.i 0.188151 0.539881i
\(448\) −90404.5 + 53516.1i −0.450437 + 0.266642i
\(449\) 127200. 0.630949 0.315475 0.948934i \(-0.397836\pi\)
0.315475 + 0.948934i \(0.397836\pi\)
\(450\) 62663.4 1834.25i 0.309449 0.00905804i
\(451\) 114624.i 0.563538i
\(452\) −257477. + 94774.0i −1.26027 + 0.463887i
\(453\) 21501.3 + 112860.i 0.104778 + 0.549977i
\(454\) 255298. 45493.9i 1.23861 0.220720i
\(455\) −56207.7 + 32451.5i −0.271502 + 0.156752i
\(456\) −104304. 35714.7i −0.501616 0.171758i
\(457\) 9423.93 16322.7i 0.0451232 0.0781556i −0.842582 0.538569i \(-0.818965\pi\)
0.887705 + 0.460413i \(0.152299\pi\)
\(458\) 147256. + 53294.4i 0.702009 + 0.254068i
\(459\) 310465. 196715.i 1.47362 0.933711i
\(460\) −281415. + 337860.i −1.32994 + 1.59669i
\(461\) 29335.9 50811.3i 0.138038 0.239088i −0.788716 0.614758i \(-0.789254\pi\)
0.926754 + 0.375669i \(0.122587\pi\)
\(462\) 35725.0 + 93602.0i 0.167374 + 0.438532i
\(463\) 41167.7 23768.2i 0.192041 0.110875i −0.400897 0.916123i \(-0.631301\pi\)
0.592938 + 0.805248i \(0.297968\pi\)
\(464\) 154628. 131673.i 0.718212 0.611591i
\(465\) 15881.7 + 83362.9i 0.0734499 + 0.385538i
\(466\) 7059.89 5945.82i 0.0325107 0.0273804i
\(467\) 150686.i 0.690936i 0.938431 + 0.345468i \(0.112280\pi\)
−0.938431 + 0.345468i \(0.887720\pi\)
\(468\) 23403.5 + 112216.i 0.106854 + 0.512344i
\(469\) 181482. 0.825066
\(470\) 83179.7 + 98765.1i 0.376549 + 0.447103i
\(471\) 120149. 344757.i 0.541602 1.55407i
\(472\) −259208. 147778.i −1.16349 0.663323i
\(473\) 180885. + 313302.i 0.808500 + 1.40036i
\(474\) −49153.9 39960.0i −0.218777 0.177856i
\(475\) 32072.9 + 18517.3i 0.142152 + 0.0820712i
\(476\) 132417. 158976.i 0.584425 0.701647i
\(477\) −13516.5 + 91232.0i −0.0594054 + 0.400969i
\(478\) 103741. 286644.i 0.454041 1.25455i
\(479\) 47830.3 + 27614.8i 0.208464 + 0.120357i 0.600598 0.799551i \(-0.294929\pi\)
−0.392133 + 0.919908i \(0.628263\pi\)
\(480\) −6010.73 263594.i −0.0260883 1.14407i
\(481\) 9284.65 + 16081.5i 0.0401306 + 0.0695082i
\(482\) −11448.4 64244.9i −0.0492776 0.276531i
\(483\) 144850. + 167891.i 0.620904 + 0.719671i
\(484\) −43059.7 + 15849.7i −0.183815 + 0.0676598i
\(485\) 62991.1 0.267791
\(486\) −212356. 103409.i −0.899067 0.437812i
\(487\) 2975.59i 0.0125463i 0.999980 + 0.00627313i \(0.00199681\pi\)
−0.999980 + 0.00627313i \(0.998003\pi\)
\(488\) 358374. 1951.36i 1.50486 0.00819402i
\(489\) 46834.9 40407.3i 0.195863 0.168983i
\(490\) 34995.9 + 196387.i 0.145755 + 0.817937i
\(491\) −234443. + 135356.i −0.972467 + 0.561454i −0.899987 0.435916i \(-0.856424\pi\)
−0.0724794 + 0.997370i \(0.523091\pi\)
\(492\) 133041. + 73763.2i 0.549612 + 0.304726i
\(493\) −199989. + 346391.i −0.822834 + 1.42519i
\(494\) −23045.5 + 63676.5i −0.0944350 + 0.260931i
\(495\) −248728. 36850.2i −1.01511 0.150394i
\(496\) 82983.0 15254.1i 0.337307 0.0620047i
\(497\) 56855.6 98476.8i 0.230176 0.398677i
\(498\) 84561.7 + 68745.1i 0.340969 + 0.277194i
\(499\) 226339. 130677.i 0.908988 0.524805i 0.0288827 0.999583i \(-0.490805\pi\)
0.880105 + 0.474778i \(0.157472\pi\)
\(500\) 33593.2 194646.i 0.134373 0.778583i
\(501\) −298383. 103988.i −1.18877 0.414292i
\(502\) −87179.4 103514.i −0.345944 0.410764i
\(503\) 283008.i 1.11857i 0.828976 + 0.559284i \(0.188924\pi\)
−0.828976 + 0.559284i \(0.811076\pi\)
\(504\) −131631. 18769.9i −0.518200 0.0738926i
\(505\) 20932.9 0.0820816
\(506\) 318888. 268567.i 1.24548 1.04894i
\(507\) −183342. + 34929.0i −0.713257 + 0.135885i
\(508\) −151228. 26100.0i −0.586011 0.101138i
\(509\) 106839. + 185051.i 0.412378 + 0.714259i 0.995149 0.0983769i \(-0.0313651\pi\)
−0.582772 + 0.812636i \(0.698032\pi\)
\(510\) 185158. + 485126.i 0.711872 + 1.86515i
\(511\) −43385.4 25048.6i −0.166151 0.0959271i
\(512\) −262109. + 4281.91i −0.999867 + 0.0163342i
\(513\) −74681.8 117866.i −0.283779 0.447872i
\(514\) −216445. 78335.0i −0.819260 0.296503i
\(515\) −244145. 140957.i −0.920520 0.531463i
\(516\) −480045. + 8331.55i −1.80294 + 0.0312915i
\(517\) −61215.9 106029.i −0.229025 0.396683i
\(518\) −21205.0 + 3778.71i −0.0790275 + 0.0140826i
\(519\) 26376.6 5025.08i 0.0979229 0.0186556i
\(520\) −161947. + 881.808i −0.598918 + 0.00326113i
\(521\) 168525. 0.620854 0.310427 0.950597i \(-0.399528\pi\)
0.310427 + 0.950597i \(0.399528\pi\)
\(522\) 256932. 7520.79i 0.942927 0.0276009i
\(523\) 231592.i 0.846681i 0.905971 + 0.423340i \(0.139143\pi\)
−0.905971 + 0.423340i \(0.860857\pi\)
\(524\) −25101.6 68194.9i −0.0914196 0.248364i
\(525\) 42176.6 + 14698.7i 0.153022 + 0.0533287i
\(526\) −309295. + 55116.1i −1.11790 + 0.199208i
\(527\) −143904. + 83082.9i −0.518145 + 0.299151i
\(528\) −38235.7 + 247053.i −0.137152 + 0.886182i
\(529\) 321448. 556764.i 1.14868 1.98957i
\(530\) −122522. 44342.8i −0.436178 0.157860i
\(531\) −138847. 351177.i −0.492434 1.24548i
\(532\) −60354.5 50271.2i −0.213249 0.177622i
\(533\) 46718.9 80919.5i 0.164452 0.284839i
\(534\) −19882.1 3188.05i −0.0697237 0.0111800i
\(535\) 19936.1 11510.1i 0.0696518 0.0402135i
\(536\) 393402. + 224284.i 1.36933 + 0.780671i
\(537\) −308004. + 265734.i −1.06809 + 0.921506i
\(538\) 16450.8 13854.8i 0.0568360 0.0478671i
\(539\) 189139.i 0.651035i
\(540\) 202833. 264978.i 0.695586 0.908703i
\(541\) −3552.06 −0.0121363 −0.00606815 0.999982i \(-0.501932\pi\)
−0.00606815 + 0.999982i \(0.501932\pi\)
\(542\) −278575. 330772.i −0.948296 1.12598i
\(543\) −162270. 188082.i −0.550350 0.637894i
\(544\) 483512. 180970.i 1.63384 0.611516i
\(545\) −247826. 429248.i −0.834362 1.44516i
\(546\) −12930.4 + 80639.7i −0.0433736 + 0.270498i
\(547\) 444293. + 256513.i 1.48489 + 0.857302i 0.999852 0.0171904i \(-0.00547213\pi\)
0.485039 + 0.874493i \(0.338805\pi\)
\(548\) −60260.6 50193.0i −0.200665 0.167141i
\(549\) 355328. + 281906.i 1.17892 + 0.935319i
\(550\) 28578.7 78965.1i 0.0944752 0.261042i
\(551\) 131505. + 75924.6i 0.433152 + 0.250080i
\(552\) 106507. + 542953.i 0.349541 + 1.78190i
\(553\) −22566.4 39086.1i −0.0737924 0.127812i
\(554\) 30836.1 + 173043.i 0.100471 + 0.563813i
\(555\) 17789.7 51045.7i 0.0577539 0.165719i
\(556\) −47811.7 129893.i −0.154662 0.420180i
\(557\) −269383. −0.868281 −0.434141 0.900845i \(-0.642948\pi\)
−0.434141 + 0.900845i \(0.642948\pi\)
\(558\) 94001.2 + 50663.9i 0.301901 + 0.162716i
\(559\) 294903.i 0.943746i
\(560\) 62965.2 176983.i 0.200782 0.564359i
\(561\) −92140.3 483643.i −0.292768 1.53674i
\(562\) −35698.5 200330.i −0.113026 0.634267i
\(563\) 48439.2 27966.4i 0.152820 0.0882307i −0.421640 0.906763i \(-0.638545\pi\)
0.574460 + 0.818533i \(0.305212\pi\)
\(564\) 162459. 2819.60i 0.510722 0.00886399i
\(565\) 245294. 424861.i 0.768404 1.33092i
\(566\) −35930.5 + 99278.4i −0.112158 + 0.309900i
\(567\) −115079. 122781.i −0.357956 0.381915i
\(568\) 244949. 143205.i 0.759239 0.443877i
\(569\) −212266. + 367655.i −0.655625 + 1.13558i 0.326111 + 0.945331i \(0.394262\pi\)
−0.981737 + 0.190245i \(0.939072\pi\)
\(570\) 184175. 70294.1i 0.566868 0.216356i
\(571\) 25297.4 14605.5i 0.0775897 0.0447964i −0.460703 0.887554i \(-0.652403\pi\)
0.538293 + 0.842758i \(0.319069\pi\)
\(572\) 151317. + 26115.3i 0.462484 + 0.0798185i
\(573\) 31703.4 + 166411.i 0.0965600 + 0.506842i
\(574\) 69816.5 + 82898.1i 0.211902 + 0.251606i
\(575\) 185863.i 0.562158i
\(576\) −262142. 203363.i −0.790119 0.612954i
\(577\) −494524. −1.48537 −0.742687 0.669639i \(-0.766449\pi\)
−0.742687 + 0.669639i \(0.766449\pi\)
\(578\) −522152. + 439755.i −1.56294 + 1.31630i
\(579\) −28001.8 + 80348.4i −0.0835272 + 0.239673i
\(580\) −61761.7 + 357860.i −0.183596 + 1.06379i
\(581\) 38822.0 + 67241.7i 0.115007 + 0.199199i
\(582\) 50000.2 61504.1i 0.147614 0.181576i
\(583\) 106993. + 61772.5i 0.314788 + 0.181743i
\(584\) −63091.1 107916.i −0.184988 0.316417i
\(585\) −160571. 127392.i −0.469197 0.372246i
\(586\) 491936. + 178040.i 1.43256 + 0.518467i
\(587\) −208206. 120208.i −0.604251 0.348865i 0.166461 0.986048i \(-0.446766\pi\)
−0.770712 + 0.637183i \(0.780099\pi\)
\(588\) 219529. + 121715.i 0.634946 + 0.352039i
\(589\) 31541.9 + 54632.2i 0.0909197 + 0.157477i
\(590\) 525241. 93597.5i 1.50888 0.268881i
\(591\) 127284. + 147531.i 0.364417 + 0.422384i
\(592\) −50636.3 18014.9i −0.144484 0.0514029i
\(593\) −470902. −1.33912 −0.669562 0.742756i \(-0.733518\pi\)
−0.669562 + 0.742756i \(0.733518\pi\)
\(594\) −233412. + 213606.i −0.661531 + 0.605396i
\(595\) 369954.i 1.04499i
\(596\) 190586. 70152.0i 0.536534 0.197491i
\(597\) 172140. 148516.i 0.482985 0.416701i
\(598\) 334584. 59622.5i 0.935626 0.166728i
\(599\) 8669.92 5005.58i 0.0241636 0.0139509i −0.487870 0.872917i \(-0.662226\pi\)
0.512033 + 0.858966i \(0.328892\pi\)
\(600\) 73261.6 + 83986.4i 0.203504 + 0.233295i
\(601\) −196449. + 340259.i −0.543876 + 0.942021i 0.454800 + 0.890593i \(0.349711\pi\)
−0.998677 + 0.0514280i \(0.983623\pi\)
\(602\) −321648. 116410.i −0.887540 0.321215i
\(603\) 210730. + 532985.i 0.579550 + 1.46582i
\(604\) −130720. + 156939.i −0.358317 + 0.430188i
\(605\) 41022.2 71052.5i 0.112075 0.194119i
\(606\) 16615.8 20438.7i 0.0452456 0.0556554i
\(607\) 375426. 216752.i 1.01894 0.588283i 0.105141 0.994457i \(-0.466471\pi\)
0.913796 + 0.406174i \(0.133137\pi\)
\(608\) −68704.1 183562.i −0.185855 0.496566i
\(609\) 172932. + 60267.7i 0.466274 + 0.162499i
\(610\) −490140. + 412795.i −1.31723 + 1.10937i
\(611\) 99802.2i 0.267336i
\(612\) 620646. + 204290.i 1.65707 + 0.545437i
\(613\) 301951. 0.803555 0.401778 0.915737i \(-0.368393\pi\)
0.401778 + 0.915737i \(0.368393\pi\)
\(614\) 139728. + 165909.i 0.370635 + 0.440081i
\(615\) −267199. + 50904.9i −0.706456 + 0.134589i
\(616\) −88214.7 + 154732.i −0.232477 + 0.407773i
\(617\) −98373.3 170388.i −0.258409 0.447577i 0.707407 0.706806i \(-0.249865\pi\)
−0.965816 + 0.259229i \(0.916531\pi\)
\(618\) −331424. + 126494.i −0.867774 + 0.331203i
\(619\) −536199. 309575.i −1.39941 0.807949i −0.405078 0.914282i \(-0.632756\pi\)
−0.994331 + 0.106333i \(0.966089\pi\)
\(620\) −96554.8 + 115921.i −0.251183 + 0.301565i
\(621\) −324877. + 620351.i −0.842434 + 1.60862i
\(622\) −185077. + 511380.i −0.478378 + 1.32179i
\(623\) −12424.2 7173.12i −0.0320105 0.0184813i
\(624\) −127687. + 158824.i −0.327928 + 0.407894i
\(625\) 237059. + 410598.i 0.606870 + 1.05113i
\(626\) −115358. 647355.i −0.294374 1.65194i
\(627\) −183612. + 34980.5i −0.467053 + 0.0889797i
\(628\) 609103. 224203.i 1.54444 0.568488i
\(629\) 105847. 0.267532
\(630\) 202329. 124847.i 0.509774 0.314556i
\(631\) 308766.i 0.775479i −0.921769 0.387740i \(-0.873256\pi\)
0.921769 0.387740i \(-0.126744\pi\)
\(632\) −613.198 112616.i −0.00153521 0.281946i
\(633\) −183256. 63865.6i −0.457353 0.159390i
\(634\) −84643.3 474993.i −0.210578 1.18170i
\(635\) 237642. 137203.i 0.589354 0.340264i
\(636\) −140550. + 84432.0i −0.347470 + 0.208734i
\(637\) 77090.0 133524.i 0.189985 0.329064i
\(638\) 117178. 323772.i 0.287877 0.795424i
\(639\) 355229. + 52628.9i 0.869976 + 0.128891i
\(640\) 355214. 305834.i 0.867222 0.746665i
\(641\) 171200. 296528.i 0.416666 0.721687i −0.578935 0.815373i \(-0.696532\pi\)
0.995602 + 0.0936860i \(0.0298650\pi\)
\(642\) 4586.21 28601.8i 0.0111272 0.0693941i
\(643\) −478867. + 276474.i −1.15823 + 0.668702i −0.950878 0.309566i \(-0.899816\pi\)
−0.207347 + 0.978267i \(0.566483\pi\)
\(644\) −67043.5 + 388463.i −0.161654 + 0.936652i
\(645\) 650003. 560797.i 1.56241 1.34799i
\(646\) 248653. + 295244.i 0.595839 + 0.707482i
\(647\) 576814.i 1.37793i 0.724794 + 0.688965i \(0.241935\pi\)
−0.724794 + 0.688965i \(0.758065\pi\)
\(648\) −97720.3 408375.i −0.232721 0.972544i
\(649\) −505858. −1.20099
\(650\) 52360.1 44097.6i 0.123929 0.104373i
\(651\) 49698.8 + 57604.4i 0.117269 + 0.135923i
\(652\) 108366. + 18702.4i 0.254915 + 0.0439950i
\(653\) 286795. + 496744.i 0.672583 + 1.16495i 0.977169 + 0.212463i \(0.0681484\pi\)
−0.304586 + 0.952485i \(0.598518\pi\)
\(654\) −615831. 98746.8i −1.43981 0.230870i
\(655\) 112528. + 64968.0i 0.262288 + 0.151432i
\(656\) 48893.4 + 265982.i 0.113617 + 0.618080i
\(657\) 23186.4 156501.i 0.0537159 0.362567i
\(658\) 108854. + 39395.9i 0.251415 + 0.0909911i
\(659\) −299298. 172800.i −0.689180 0.397899i 0.114125 0.993466i \(-0.463594\pi\)
−0.803305 + 0.595568i \(0.796927\pi\)
\(660\) −230189. 383185.i −0.528441 0.879671i
\(661\) 187583. + 324904.i 0.429330 + 0.743622i 0.996814 0.0797628i \(-0.0254163\pi\)
−0.567484 + 0.823385i \(0.692083\pi\)
\(662\) −455553. + 81179.1i −1.03950 + 0.185237i
\(663\) 132078. 378985.i 0.300471 0.862174i
\(664\) 1054.91 + 193739.i 0.00239266 + 0.439421i
\(665\) 140451. 0.317600
\(666\) −35719.8 57888.1i −0.0805306 0.130509i
\(667\) 762077.i 1.71296i
\(668\) −194044. 527170.i −0.434858 1.18140i
\(669\) −32498.1 170582.i −0.0726115 0.381137i
\(670\) −797164. + 142054.i −1.77582 + 0.316449i
\(671\) 526189. 303795.i 1.16868 0.674739i
\(672\) −122825. 201962.i −0.271987 0.447230i
\(673\) 286866. 496866.i 0.633358 1.09701i −0.353503 0.935433i \(-0.615010\pi\)
0.986861 0.161574i \(-0.0516571\pi\)
\(674\) 706121. + 255557.i 1.55439 + 0.562558i
\(675\) 5805.83 + 140934.i 0.0127426 + 0.309319i
\(676\) −254949. 212355.i −0.557904 0.464697i
\(677\) 13789.2 23883.6i 0.0300859 0.0521103i −0.850590 0.525829i \(-0.823755\pi\)
0.880676 + 0.473719i \(0.157089\pi\)
\(678\) −220125. 576744.i −0.478862 1.25465i
\(679\) 48906.7 28236.3i 0.106079 0.0612447i
\(680\) −457205. + 801955.i −0.988765 + 1.73433i
\(681\) 109195. + 573161.i 0.235454 + 1.23590i
\(682\) 109412. 92146.5i 0.235232 0.198112i
\(683\) 1038.30i 0.00222578i −0.999999 0.00111289i \(-0.999646\pi\)
0.999999 0.00111289i \(-0.000354244\pi\)
\(684\) 77557.6 235624.i 0.165772 0.503626i
\(685\) 140232. 0.298859
\(686\) 273883. + 325200.i 0.581992 + 0.691040i
\(687\) −115958. + 332731.i −0.245690 + 0.704985i
\(688\) −553378. 649850.i −1.16908 1.37289i
\(689\) 50354.8 + 87217.2i 0.106073 + 0.183723i
\(690\) −767672. 624085.i −1.61242 1.31083i
\(691\) −289343. 167052.i −0.605978 0.349862i 0.165411 0.986225i \(-0.447105\pi\)
−0.771390 + 0.636363i \(0.780438\pi\)
\(692\) 36678.4 + 30550.6i 0.0765945 + 0.0637981i
\(693\) −209632. + 82883.6i −0.436508 + 0.172585i
\(694\) 184101. 508685.i 0.382241 1.05616i
\(695\) 214335. + 123746.i 0.443734 + 0.256190i
\(696\) 300387. + 344361.i 0.620101 + 0.710878i
\(697\) −266302. 461249.i −0.548162 0.949445i
\(698\) −2317.77 13006.6i −0.00475729 0.0266965i
\(699\) 13566.3 + 15724.3i 0.0277656 + 0.0321823i
\(700\) 27428.3 + 74515.9i 0.0559761 + 0.152073i
\(701\) 177927. 0.362082 0.181041 0.983476i \(-0.442053\pi\)
0.181041 + 0.983476i \(0.442053\pi\)
\(702\) −251840. + 55661.0i −0.511036 + 0.112948i
\(703\) 40184.1i 0.0813100i
\(704\) −382449. + 226396.i −0.771664 + 0.456796i
\(705\) −219977. + 189788.i −0.442587 + 0.381847i
\(706\) −29987.3 168280.i −0.0601629 0.337616i
\(707\) 16252.4 9383.33i 0.0325146 0.0187723i
\(708\) 325531. 587136.i 0.649420 1.17131i
\(709\) −362484. + 627841.i −0.721102 + 1.24899i 0.239456 + 0.970907i \(0.423031\pi\)
−0.960558 + 0.278079i \(0.910302\pi\)
\(710\) −172657. + 477064.i −0.342506 + 0.946368i
\(711\) 88586.6 111659.i 0.175238 0.220879i
\(712\) −18067.3 30903.7i −0.0356396 0.0609607i
\(713\) 158298. 274180.i 0.311383 0.539332i
\(714\) 361220. + 293657.i 0.708557 + 0.576028i
\(715\) −237782. + 137284.i −0.465122 + 0.268538i
\(716\) −712652. 122994.i −1.39012 0.239916i
\(717\) 647683. + 225720.i 1.25987 + 0.439069i
\(718\) 453027. + 537911.i 0.878770 + 1.04343i
\(719\) 536436.i 1.03767i −0.854874 0.518836i \(-0.826366\pi\)
0.854874 0.518836i \(-0.173634\pi\)
\(720\) 592884. 20586.1i 1.14368 0.0397109i
\(721\) −252741. −0.486189
\(722\) −286630. + 241399.i −0.549855 + 0.463086i
\(723\) 144234. 27478.4i 0.275925 0.0525673i
\(724\) 75106.3 435181.i 0.143284 0.830218i
\(725\) −76751.2 132937.i −0.146019 0.252912i
\(726\) −36813.1 96452.8i −0.0698440 0.182996i
\(727\) −375814. 216977.i −0.711057 0.410529i 0.100395 0.994948i \(-0.467989\pi\)
−0.811452 + 0.584418i \(0.801323\pi\)
\(728\) −125342. + 73278.9i −0.236501 + 0.138266i
\(729\) 226965. 480538.i 0.427074 0.904217i
\(730\) 210178. + 76066.7i 0.394403 + 0.142741i
\(731\) 1.45577e6 + 840486.i 2.72431 + 1.57288i
\(732\) 13992.8 + 806232.i 0.0261145 + 1.50466i
\(733\) 390208. + 675860.i 0.726254 + 1.25791i 0.958456 + 0.285241i \(0.0920735\pi\)
−0.232202 + 0.972667i \(0.574593\pi\)
\(734\) −31226.8 + 5564.59i −0.0579610 + 0.0103286i
\(735\) −440901. + 83997.3i −0.816143 + 0.155486i
\(736\) −625411. + 759223.i −1.15454 + 1.40157i
\(737\) 767746. 1.41346
\(738\) −162391. + 301298.i −0.298159 + 0.553202i
\(739\) 215142.i 0.393947i 0.980409 + 0.196973i \(0.0631112\pi\)
−0.980409 + 0.196973i \(0.936889\pi\)
\(740\) 90185.5 33196.1i 0.164692 0.0606210i
\(741\) −143879. 50142.6i −0.262037 0.0913209i
\(742\) −115004. + 20493.6i −0.208884 + 0.0372230i
\(743\) −250360. + 144546.i −0.453511 + 0.261835i −0.709312 0.704895i \(-0.750994\pi\)
0.255801 + 0.966730i \(0.417661\pi\)
\(744\) 36542.9 + 186290.i 0.0660172 + 0.336545i
\(745\) −181567. + 314484.i −0.327133 + 0.566612i
\(746\) 927794. + 335784.i 1.66715 + 0.603367i
\(747\) −152400. + 192092.i −0.273113 + 0.344246i
\(748\) 560178. 672537.i 1.00120 1.20202i
\(749\) 10319.0 17873.0i 0.0183939 0.0318592i
\(750\) 438822. + 70363.9i 0.780128 + 0.125091i
\(751\) −593117. + 342436.i −1.05162 + 0.607156i −0.923104 0.384551i \(-0.874356\pi\)
−0.128521 + 0.991707i \(0.541023\pi\)
\(752\) 187277. + 219925.i 0.331168 + 0.388901i
\(753\) 230554. 198913.i 0.406615 0.350812i
\(754\) 214687. 180809.i 0.377627 0.318036i
\(755\) 365213.i 0.640697i
\(756\) 38702.3 296652.i 0.0677162 0.519043i
\(757\) −646906. −1.12888 −0.564442 0.825472i \(-0.690909\pi\)
−0.564442 + 0.825472i \(0.690909\pi\)
\(758\) 379865. + 451040.i 0.661136 + 0.785013i
\(759\) 612777. + 710251.i 1.06370 + 1.23290i
\(760\) 304457. + 173575.i 0.527108 + 0.300511i
\(761\) −383411. 664087.i −0.662057 1.14672i −0.980074 0.198631i \(-0.936350\pi\)
0.318018 0.948085i \(-0.396983\pi\)
\(762\) 54668.7 340939.i 0.0941518 0.587174i
\(763\) −384828. 222181.i −0.661025 0.381643i