Properties

Label 43.5.h.a.5.6
Level 43
Weight 5
Character 43.5
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.6
Character \(\chi\) \(=\) 43.5
Dual form 43.5.h.a.26.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.83316 - 0.646651i) q^{2} +(2.81726 - 9.13334i) q^{3} +(-6.80686 - 3.27801i) q^{4} +(-12.8396 + 5.03918i) q^{5} +(-13.8878 + 24.0544i) q^{6} +(-12.3907 + 7.15376i) q^{7} +(53.5175 + 42.6788i) q^{8} +(-8.55552 - 5.83306i) q^{9} +O(q^{10})\) \(q+(-2.83316 - 0.646651i) q^{2} +(2.81726 - 9.13334i) q^{3} +(-6.80686 - 3.27801i) q^{4} +(-12.8396 + 5.03918i) q^{5} +(-13.8878 + 24.0544i) q^{6} +(-12.3907 + 7.15376i) q^{7} +(53.5175 + 42.6788i) q^{8} +(-8.55552 - 5.83306i) q^{9} +(39.6353 - 5.97406i) q^{10} +(-174.985 + 84.2683i) q^{11} +(-49.1158 + 52.9343i) q^{12} +(-203.134 - 30.6176i) q^{13} +(39.7308 - 12.2553i) q^{14} +(9.85195 + 131.465i) q^{15} +(-48.6576 - 61.0147i) q^{16} +(76.8760 - 195.877i) q^{17} +(20.4672 + 22.0584i) q^{18} +(-14.9657 - 21.9507i) q^{19} +(103.916 + 7.78742i) q^{20} +(30.4299 + 133.322i) q^{21} +(550.253 - 125.592i) q^{22} +(33.1157 - 441.898i) q^{23} +(540.572 - 368.556i) q^{24} +(-318.695 + 295.706i) q^{25} +(555.713 + 218.101i) q^{26} +(527.912 - 420.996i) q^{27} +(107.792 - 8.07787i) q^{28} +(71.5183 + 231.857i) q^{29} +(57.0999 - 378.833i) q^{30} +(-913.376 - 847.489i) q^{31} +(-376.800 - 782.433i) q^{32} +(276.673 + 1835.60i) q^{33} +(-344.466 + 505.239i) q^{34} +(123.042 - 154.290i) q^{35} +(39.1154 + 67.7499i) q^{36} +(-784.147 - 452.728i) q^{37} +(28.2059 + 71.8675i) q^{38} +(-851.922 + 1769.04i) q^{39} +(-902.210 - 278.295i) q^{40} +(17.4713 - 76.5468i) q^{41} -397.401i q^{42} +(-1714.47 - 692.391i) q^{43} +1467.33 q^{44} +(139.243 + 31.7814i) q^{45} +(-379.576 + 1230.55i) q^{46} +(2519.68 + 1213.41i) q^{47} +(-694.349 + 272.512i) q^{48} +(-1098.15 + 1902.05i) q^{49} +(1094.13 - 631.698i) q^{50} +(-1572.43 - 1253.97i) q^{51} +(1282.34 + 874.285i) q^{52} +(-125.753 + 18.9542i) q^{53} +(-1767.90 + 851.374i) q^{54} +(1822.10 - 1963.75i) q^{55} +(-968.432 - 145.968i) q^{56} +(-242.646 + 74.8463i) q^{57} +(-52.6926 - 703.134i) q^{58} +(-2486.17 - 3117.56i) q^{59} +(363.883 - 927.159i) q^{60} +(-1288.95 - 1389.16i) q^{61} +(2039.71 + 2991.71i) q^{62} +(147.737 + 11.0714i) q^{63} +(839.425 + 3677.76i) q^{64} +(2762.45 - 630.512i) q^{65} +(403.135 - 5379.47i) q^{66} +(-539.312 + 367.697i) q^{67} +(-1165.37 + 1081.31i) q^{68} +(-3942.71 - 1547.40i) q^{69} +(-448.371 + 357.564i) q^{70} +(7006.37 - 525.055i) q^{71} +(-208.922 - 677.310i) q^{72} +(-638.682 + 4237.38i) q^{73} +(1928.86 + 1789.72i) q^{74} +(1802.93 + 3743.83i) q^{75} +(29.9150 + 198.473i) q^{76} +(1565.35 - 2295.94i) q^{77} +(3557.58 - 4461.07i) q^{78} +(-1780.64 - 3084.15i) q^{79} +(932.209 + 538.211i) q^{80} +(-2664.26 - 6788.41i) q^{81} +(-98.9980 + 205.572i) q^{82} +(10791.9 + 3328.86i) q^{83} +(229.899 - 1007.25i) q^{84} +2902.37i q^{85} +(4409.63 + 3070.32i) q^{86} +2319.11 q^{87} +(-12961.2 - 2958.32i) q^{88} +(-372.474 + 1207.53i) q^{89} +(-373.948 - 180.084i) q^{90} +(2736.00 - 1073.80i) q^{91} +(-1673.96 + 2899.38i) q^{92} +(-10313.6 + 5954.57i) q^{93} +(-6354.01 - 5067.15i) q^{94} +(302.768 + 206.424i) q^{95} +(-8207.77 + 1237.12i) q^{96} +(3715.81 - 1789.44i) q^{97} +(4341.19 - 4678.69i) q^{98} +(1988.63 + 299.738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.83316 0.646651i −0.708290 0.161663i −0.146824 0.989163i \(-0.546905\pi\)
−0.561466 + 0.827500i \(0.689762\pi\)
\(3\) 2.81726 9.13334i 0.313029 1.01482i −0.653212 0.757175i \(-0.726579\pi\)
0.966241 0.257640i \(-0.0829449\pi\)
\(4\) −6.80686 3.27801i −0.425428 0.204876i
\(5\) −12.8396 + 5.03918i −0.513584 + 0.201567i −0.607957 0.793970i \(-0.708011\pi\)
0.0943726 + 0.995537i \(0.469915\pi\)
\(6\) −13.8878 + 24.0544i −0.385773 + 0.668179i
\(7\) −12.3907 + 7.15376i −0.252871 + 0.145995i −0.621078 0.783749i \(-0.713305\pi\)
0.368207 + 0.929744i \(0.379972\pi\)
\(8\) 53.5175 + 42.6788i 0.836211 + 0.666856i
\(9\) −8.55552 5.83306i −0.105624 0.0720131i
\(10\) 39.6353 5.97406i 0.396353 0.0597406i
\(11\) −174.985 + 84.2683i −1.44616 + 0.696433i −0.981923 0.189280i \(-0.939385\pi\)
−0.464234 + 0.885713i \(0.653670\pi\)
\(12\) −49.1158 + 52.9343i −0.341082 + 0.367599i
\(13\) −203.134 30.6176i −1.20198 0.181169i −0.482633 0.875823i \(-0.660320\pi\)
−0.719344 + 0.694654i \(0.755558\pi\)
\(14\) 39.7308 12.2553i 0.202708 0.0625272i
\(15\) 9.85195 + 131.465i 0.0437865 + 0.584290i
\(16\) −48.6576 61.0147i −0.190069 0.238339i
\(17\) 76.8760 195.877i 0.266007 0.677774i −0.733992 0.679158i \(-0.762345\pi\)
0.999999 + 0.00138345i \(0.000440366\pi\)
\(18\) 20.4672 + 22.0584i 0.0631705 + 0.0680816i
\(19\) −14.9657 21.9507i −0.0414564 0.0608053i 0.804951 0.593341i \(-0.202192\pi\)
−0.846407 + 0.532536i \(0.821239\pi\)
\(20\) 103.916 + 7.78742i 0.259790 + 0.0194685i
\(21\) 30.4299 + 133.322i 0.0690021 + 0.302318i
\(22\) 550.253 125.592i 1.13689 0.259487i
\(23\) 33.1157 441.898i 0.0626005 0.835346i −0.874219 0.485532i \(-0.838626\pi\)
0.936819 0.349814i \(-0.113755\pi\)
\(24\) 540.572 368.556i 0.938494 0.639854i
\(25\) −318.695 + 295.706i −0.509912 + 0.473129i
\(26\) 555.713 + 218.101i 0.822061 + 0.322635i
\(27\) 527.912 420.996i 0.724159 0.577498i
\(28\) 107.792 8.07787i 0.137489 0.0103034i
\(29\) 71.5183 + 231.857i 0.0850396 + 0.275692i 0.988098 0.153826i \(-0.0491597\pi\)
−0.903058 + 0.429518i \(0.858683\pi\)
\(30\) 57.0999 378.833i 0.0634443 0.420925i
\(31\) −913.376 847.489i −0.950443 0.881882i 0.0426645 0.999089i \(-0.486415\pi\)
−0.993107 + 0.117207i \(0.962606\pi\)
\(32\) −376.800 782.433i −0.367969 0.764095i
\(33\) 276.673 + 1835.60i 0.254061 + 1.68559i
\(34\) −344.466 + 505.239i −0.297981 + 0.437058i
\(35\) 123.042 154.290i 0.100443 0.125951i
\(36\) 39.1154 + 67.7499i 0.0301816 + 0.0522761i
\(37\) −784.147 452.728i −0.572788 0.330700i 0.185474 0.982649i \(-0.440618\pi\)
−0.758262 + 0.651950i \(0.773951\pi\)
\(38\) 28.2059 + 71.8675i 0.0195332 + 0.0497698i
\(39\) −851.922 + 1769.04i −0.560107 + 1.16307i
\(40\) −902.210 278.295i −0.563881 0.173934i
\(41\) 17.4713 76.5468i 0.0103934 0.0455365i −0.969465 0.245228i \(-0.921137\pi\)
0.979859 + 0.199692i \(0.0639942\pi\)
\(42\) 397.401i 0.225284i
\(43\) −1714.47 692.391i −0.927240 0.374468i
\(44\) 1467.33 0.757918
\(45\) 139.243 + 31.7814i 0.0687622 + 0.0156945i
\(46\) −379.576 + 1230.55i −0.179384 + 0.581547i
\(47\) 2519.68 + 1213.41i 1.14064 + 0.549305i 0.906210 0.422828i \(-0.138962\pi\)
0.234433 + 0.972132i \(0.424677\pi\)
\(48\) −694.349 + 272.512i −0.301367 + 0.118278i
\(49\) −1098.15 + 1902.05i −0.457371 + 0.792190i
\(50\) 1094.13 631.698i 0.437653 0.252679i
\(51\) −1572.43 1253.97i −0.604548 0.482111i
\(52\) 1282.34 + 874.285i 0.474238 + 0.323330i
\(53\) −125.753 + 18.9542i −0.0447679 + 0.00674767i −0.171388 0.985204i \(-0.554825\pi\)
0.126620 + 0.991951i \(0.459587\pi\)
\(54\) −1767.90 + 851.374i −0.606275 + 0.291967i
\(55\) 1822.10 1963.75i 0.602346 0.649175i
\(56\) −968.432 145.968i −0.308811 0.0465458i
\(57\) −242.646 + 74.8463i −0.0746832 + 0.0230367i
\(58\) −52.6926 703.134i −0.0156637 0.209017i
\(59\) −2486.17 3117.56i −0.714213 0.895594i 0.283782 0.958889i \(-0.408411\pi\)
−0.997995 + 0.0632945i \(0.979839\pi\)
\(60\) 363.883 927.159i 0.101079 0.257544i
\(61\) −1288.95 1389.16i −0.346399 0.373330i 0.535688 0.844416i \(-0.320052\pi\)
−0.882087 + 0.471086i \(0.843862\pi\)
\(62\) 2039.71 + 2991.71i 0.530622 + 0.778280i
\(63\) 147.737 + 11.0714i 0.0372227 + 0.00278946i
\(64\) 839.425 + 3677.76i 0.204938 + 0.897891i
\(65\) 2762.45 630.512i 0.653835 0.149234i
\(66\) 403.135 5379.47i 0.0925472 1.23496i
\(67\) −539.312 + 367.697i −0.120141 + 0.0819106i −0.621900 0.783097i \(-0.713639\pi\)
0.501759 + 0.865008i \(0.332686\pi\)
\(68\) −1165.37 + 1081.31i −0.252026 + 0.233846i
\(69\) −3942.71 1547.40i −0.828126 0.325015i
\(70\) −448.371 + 357.564i −0.0915043 + 0.0729722i
\(71\) 7006.37 525.055i 1.38988 0.104157i 0.641344 0.767253i \(-0.278377\pi\)
0.748534 + 0.663097i \(0.230758\pi\)
\(72\) −208.922 677.310i −0.0403014 0.130654i
\(73\) −638.682 + 4237.38i −0.119850 + 0.795155i 0.845458 + 0.534042i \(0.179328\pi\)
−0.965308 + 0.261113i \(0.915911\pi\)
\(74\) 1928.86 + 1789.72i 0.352239 + 0.326830i
\(75\) 1802.93 + 3743.83i 0.320521 + 0.665570i
\(76\) 29.9150 + 198.473i 0.00517919 + 0.0343617i
\(77\) 1565.35 2295.94i 0.264015 0.387240i
\(78\) 3557.58 4461.07i 0.584744 0.733246i
\(79\) −1780.64 3084.15i −0.285312 0.494176i 0.687372 0.726305i \(-0.258764\pi\)
−0.972685 + 0.232129i \(0.925431\pi\)
\(80\) 932.209 + 538.211i 0.145658 + 0.0840955i
\(81\) −2664.26 6788.41i −0.406075 1.03466i
\(82\) −98.9980 + 205.572i −0.0147231 + 0.0305728i
\(83\) 10791.9 + 3328.86i 1.56654 + 0.483213i 0.952109 0.305758i \(-0.0989097\pi\)
0.614430 + 0.788971i \(0.289386\pi\)
\(84\) 229.899 1007.25i 0.0325821 0.142752i
\(85\) 2902.37i 0.401713i
\(86\) 4409.63 + 3070.32i 0.596218 + 0.415132i
\(87\) 2319.11 0.306396
\(88\) −12961.2 2958.32i −1.67371 0.382014i
\(89\) −372.474 + 1207.53i −0.0470236 + 0.152447i −0.976040 0.217592i \(-0.930180\pi\)
0.929016 + 0.370039i \(0.120656\pi\)
\(90\) −373.948 180.084i −0.0461664 0.0222326i
\(91\) 2736.00 1073.80i 0.330395 0.129671i
\(92\) −1673.96 + 2899.38i −0.197774 + 0.342555i
\(93\) −10313.6 + 5954.57i −1.19246 + 0.688469i
\(94\) −6354.01 5067.15i −0.719104 0.573467i
\(95\) 302.768 + 206.424i 0.0335477 + 0.0228724i
\(96\) −8207.77 + 1237.12i −0.890600 + 0.134236i
\(97\) 3715.81 1789.44i 0.394921 0.190184i −0.225875 0.974156i \(-0.572524\pi\)
0.620796 + 0.783973i \(0.286810\pi\)
\(98\) 4341.19 4678.69i 0.452019 0.487160i
\(99\) 1988.63 + 299.738i 0.202901 + 0.0305824i
\(100\) 3138.64 968.142i 0.313864 0.0968142i
\(101\) −750.218 10011.0i −0.0735436 0.981371i −0.904898 0.425628i \(-0.860053\pi\)
0.831355 0.555742i \(-0.187566\pi\)
\(102\) 3644.06 + 4569.51i 0.350256 + 0.439207i
\(103\) −1149.84 + 2929.74i −0.108383 + 0.276156i −0.974768 0.223222i \(-0.928343\pi\)
0.866385 + 0.499377i \(0.166438\pi\)
\(104\) −9564.51 10308.1i −0.884293 0.953041i
\(105\) −1062.54 1558.46i −0.0963758 0.141357i
\(106\) 368.535 + 27.6179i 0.0327995 + 0.00245798i
\(107\) 4190.49 + 18359.7i 0.366014 + 1.60361i 0.737617 + 0.675219i \(0.235951\pi\)
−0.371604 + 0.928391i \(0.621192\pi\)
\(108\) −4973.45 + 1135.16i −0.426393 + 0.0973214i
\(109\) −490.856 + 6550.02i −0.0413144 + 0.551302i 0.937691 + 0.347469i \(0.112959\pi\)
−0.979006 + 0.203833i \(0.934660\pi\)
\(110\) −6432.16 + 4385.37i −0.531583 + 0.362427i
\(111\) −6344.06 + 5886.43i −0.514898 + 0.477756i
\(112\) 1039.39 + 407.929i 0.0828592 + 0.0325198i
\(113\) −8991.57 + 7170.54i −0.704172 + 0.561558i −0.908775 0.417287i \(-0.862981\pi\)
0.204603 + 0.978845i \(0.434410\pi\)
\(114\) 735.854 55.1446i 0.0566216 0.00424320i
\(115\) 1801.61 + 5840.68i 0.136228 + 0.441639i
\(116\) 273.213 1812.65i 0.0203042 0.134710i
\(117\) 1559.33 + 1446.84i 0.113911 + 0.105694i
\(118\) 5027.76 + 10440.2i 0.361086 + 0.749802i
\(119\) 448.711 + 2977.00i 0.0316864 + 0.210225i
\(120\) −5083.52 + 7456.16i −0.353022 + 0.517789i
\(121\) 14390.1 18044.6i 0.982862 1.23247i
\(122\) 2753.51 + 4769.22i 0.184998 + 0.320426i
\(123\) −649.906 375.224i −0.0429576 0.0248016i
\(124\) 3439.14 + 8762.79i 0.223669 + 0.569900i
\(125\) 6342.18 13169.7i 0.405899 0.842859i
\(126\) −411.404 126.901i −0.0259136 0.00799327i
\(127\) 6719.89 29441.8i 0.416634 1.82539i −0.134422 0.990924i \(-0.542918\pi\)
0.551056 0.834468i \(-0.314225\pi\)
\(128\) 2932.45i 0.178983i
\(129\) −11153.9 + 13708.2i −0.670269 + 0.823758i
\(130\) −8234.19 −0.487230
\(131\) −15795.6 3605.24i −0.920434 0.210083i −0.264049 0.964509i \(-0.585058\pi\)
−0.656385 + 0.754426i \(0.727915\pi\)
\(132\) 4133.85 13401.6i 0.237250 0.769147i
\(133\) 342.466 + 164.923i 0.0193604 + 0.00932347i
\(134\) 1765.73 692.997i 0.0983364 0.0385942i
\(135\) −4656.71 + 8065.66i −0.255512 + 0.442560i
\(136\) 12474.0 7201.86i 0.674416 0.389374i
\(137\) −23731.3 18925.1i −1.26439 1.00832i −0.999024 0.0441686i \(-0.985936\pi\)
−0.265365 0.964148i \(-0.585492\pi\)
\(138\) 10169.7 + 6933.58i 0.534011 + 0.364082i
\(139\) 23811.4 3588.99i 1.23241 0.185756i 0.499640 0.866233i \(-0.333466\pi\)
0.732769 + 0.680478i \(0.238228\pi\)
\(140\) −1343.30 + 646.898i −0.0685356 + 0.0330050i
\(141\) 18181.1 19594.6i 0.914497 0.985593i
\(142\) −20189.7 3043.11i −1.00128 0.150918i
\(143\) 38125.5 11760.2i 1.86442 0.575097i
\(144\) 60.3890 + 805.835i 0.00291228 + 0.0388617i
\(145\) −2086.63 2616.56i −0.0992453 0.124450i
\(146\) 4549.59 11592.2i 0.213436 0.543825i
\(147\) 14278.3 + 15388.3i 0.660756 + 0.712125i
\(148\) 3853.53 + 5652.09i 0.175928 + 0.258039i
\(149\) 6684.43 + 500.929i 0.301087 + 0.0225634i 0.224417 0.974493i \(-0.427952\pi\)
0.0766699 + 0.997057i \(0.475571\pi\)
\(150\) −2687.05 11772.7i −0.119425 0.523233i
\(151\) 11504.8 2625.90i 0.504576 0.115166i 0.0373467 0.999302i \(-0.488109\pi\)
0.467229 + 0.884136i \(0.345252\pi\)
\(152\) 135.901 1813.47i 0.00588212 0.0784915i
\(153\) −1800.28 + 1227.41i −0.0769053 + 0.0524331i
\(154\) −5919.56 + 5492.54i −0.249602 + 0.231597i
\(155\) 15998.0 + 6278.77i 0.665891 + 0.261343i
\(156\) 11597.8 9248.96i 0.476571 0.380053i
\(157\) −35911.2 + 2691.17i −1.45690 + 0.109180i −0.779485 0.626421i \(-0.784519\pi\)
−0.677416 + 0.735600i \(0.736900\pi\)
\(158\) 3050.46 + 9889.35i 0.122194 + 0.396144i
\(159\) −181.164 + 1201.94i −0.00716600 + 0.0475433i
\(160\) 8780.78 + 8147.38i 0.342999 + 0.318257i
\(161\) 2750.91 + 5712.32i 0.106127 + 0.220374i
\(162\) 3158.53 + 20955.5i 0.120353 + 0.798488i
\(163\) −25854.1 + 37921.1i −0.973095 + 1.42727i −0.0701371 + 0.997537i \(0.522344\pi\)
−0.902957 + 0.429730i \(0.858609\pi\)
\(164\) −369.846 + 463.772i −0.0137510 + 0.0172432i
\(165\) −12802.3 22174.2i −0.470240 0.814480i
\(166\) −28422.6 16409.8i −1.03145 0.595506i
\(167\) 3095.80 + 7887.97i 0.111004 + 0.282835i 0.975571 0.219683i \(-0.0705024\pi\)
−0.864567 + 0.502518i \(0.832407\pi\)
\(168\) −4061.50 + 8433.79i −0.143902 + 0.298816i
\(169\) 13034.0 + 4020.44i 0.456355 + 0.140767i
\(170\) 1876.82 8222.89i 0.0649419 0.284529i
\(171\) 275.096i 0.00940788i
\(172\) 9400.46 + 10333.0i 0.317755 + 0.349278i
\(173\) 3445.32 0.115117 0.0575583 0.998342i \(-0.481669\pi\)
0.0575583 + 0.998342i \(0.481669\pi\)
\(174\) −6570.41 1499.65i −0.217017 0.0495328i
\(175\) 1833.44 5943.87i 0.0598674 0.194085i
\(176\) 13656.0 + 6576.36i 0.440856 + 0.212305i
\(177\) −35478.0 + 13924.1i −1.13243 + 0.444447i
\(178\) 1836.13 3180.27i 0.0579514 0.100375i
\(179\) −42856.9 + 24743.4i −1.33756 + 0.772243i −0.986446 0.164088i \(-0.947532\pi\)
−0.351118 + 0.936331i \(0.614198\pi\)
\(180\) −843.630 672.773i −0.0260380 0.0207646i
\(181\) −51017.9 34783.4i −1.55728 1.06173i −0.967080 0.254474i \(-0.918098\pi\)
−0.590197 0.807259i \(-0.700950\pi\)
\(182\) −8445.91 + 1273.02i −0.254979 + 0.0384318i
\(183\) −16319.0 + 7858.81i −0.487294 + 0.234668i
\(184\) 20631.9 22235.9i 0.609403 0.656780i
\(185\) 12349.5 + 1861.39i 0.360833 + 0.0543869i
\(186\) 33070.7 10201.0i 0.955910 0.294859i
\(187\) 3054.07 + 40753.7i 0.0873365 + 1.16542i
\(188\) −13173.5 16519.1i −0.372723 0.467380i
\(189\) −3529.49 + 8992.98i −0.0988070 + 0.251756i
\(190\) −724.306 780.617i −0.0200639 0.0216237i
\(191\) −26021.0 38165.8i −0.713276 1.04618i −0.996205 0.0870425i \(-0.972258\pi\)
0.282929 0.959141i \(-0.408694\pi\)
\(192\) 35955.1 + 2694.46i 0.975345 + 0.0730920i
\(193\) 9785.09 + 42871.3i 0.262694 + 1.15094i 0.918316 + 0.395848i \(0.129549\pi\)
−0.655622 + 0.755089i \(0.727593\pi\)
\(194\) −11684.6 + 2666.94i −0.310464 + 0.0708614i
\(195\) 2023.87 27006.7i 0.0532248 0.710236i
\(196\) 13709.9 9347.22i 0.356879 0.243316i
\(197\) −50758.2 + 47096.7i −1.30790 + 1.21355i −0.346608 + 0.938010i \(0.612666\pi\)
−0.961289 + 0.275541i \(0.911143\pi\)
\(198\) −5440.29 2135.15i −0.138769 0.0544627i
\(199\) 42432.7 33838.9i 1.07151 0.854497i 0.0816625 0.996660i \(-0.473977\pi\)
0.989843 + 0.142163i \(0.0454056\pi\)
\(200\) −29676.1 + 2223.92i −0.741903 + 0.0555980i
\(201\) 1838.91 + 5961.61i 0.0455165 + 0.147561i
\(202\) −4348.11 + 28847.8i −0.106561 + 0.706985i
\(203\) −2544.81 2361.24i −0.0617537 0.0572990i
\(204\) 6592.77 + 13690.0i 0.158419 + 0.328961i
\(205\) 161.408 + 1070.87i 0.00384076 + 0.0254818i
\(206\) 5152.19 7556.87i 0.121411 0.178077i
\(207\) −2860.94 + 3587.50i −0.0667679 + 0.0837243i
\(208\) 8015.90 + 13884.0i 0.185279 + 0.320912i
\(209\) 4468.53 + 2579.91i 0.102299 + 0.0590625i
\(210\) 2002.57 + 5102.47i 0.0454098 + 0.115702i
\(211\) −5617.10 + 11664.0i −0.126168 + 0.261990i −0.954479 0.298279i \(-0.903588\pi\)
0.828311 + 0.560268i \(0.189302\pi\)
\(212\) 918.114 + 283.201i 0.0204280 + 0.00630119i
\(213\) 14943.3 65470.8i 0.329372 1.44307i
\(214\) 54725.9i 1.19499i
\(215\) 25502.2 + 250.535i 0.551696 + 0.00541991i
\(216\) 46220.1 0.990658
\(217\) 17380.1 + 3966.89i 0.369090 + 0.0842424i
\(218\) 5626.25 18239.9i 0.118388 0.383803i
\(219\) 36902.1 + 17771.1i 0.769419 + 0.370532i
\(220\) −18839.9 + 7394.13i −0.389255 + 0.152771i
\(221\) −21613.4 + 37435.5i −0.442526 + 0.766478i
\(222\) 21780.2 12574.8i 0.441933 0.255150i
\(223\) −1229.68 980.634i −0.0247276 0.0197196i 0.611048 0.791593i \(-0.290748\pi\)
−0.635776 + 0.771874i \(0.719320\pi\)
\(224\) 10266.1 + 6999.34i 0.204603 + 0.139496i
\(225\) 4451.47 670.951i 0.0879303 0.0132534i
\(226\) 30111.4 14500.9i 0.589541 0.283908i
\(227\) 34334.5 37003.7i 0.666313 0.718115i −0.305939 0.952051i \(-0.598970\pi\)
0.972252 + 0.233936i \(0.0751607\pi\)
\(228\) 1897.00 + 285.927i 0.0364920 + 0.00550029i
\(229\) 30374.2 9369.19i 0.579206 0.178661i 0.00871055 0.999962i \(-0.497227\pi\)
0.570496 + 0.821301i \(0.306751\pi\)
\(230\) −1327.37 17712.6i −0.0250922 0.334832i
\(231\) −16559.6 20765.1i −0.310332 0.389144i
\(232\) −6067.88 + 15460.7i −0.112736 + 0.287245i
\(233\) 10728.6 + 11562.7i 0.197620 + 0.212984i 0.824085 0.566466i \(-0.191690\pi\)
−0.626466 + 0.779449i \(0.715499\pi\)
\(234\) −3482.22 5107.48i −0.0635952 0.0932770i
\(235\) −38466.3 2882.65i −0.696538 0.0521983i
\(236\) 6703.63 + 29370.5i 0.120361 + 0.527336i
\(237\) −33185.1 + 7574.28i −0.590808 + 0.134848i
\(238\) 653.809 8724.48i 0.0115424 0.154023i
\(239\) −23176.7 + 15801.6i −0.405747 + 0.276634i −0.748949 0.662628i \(-0.769441\pi\)
0.343201 + 0.939262i \(0.388489\pi\)
\(240\) 7541.94 6997.89i 0.130936 0.121491i
\(241\) −53754.9 21097.3i −0.925517 0.363239i −0.145759 0.989320i \(-0.546562\pi\)
−0.779758 + 0.626081i \(0.784658\pi\)
\(242\) −52438.0 + 41817.9i −0.895396 + 0.714055i
\(243\) −14966.5 + 1121.58i −0.253458 + 0.0189941i
\(244\) 4220.03 + 13681.0i 0.0708820 + 0.229794i
\(245\) 4515.04 29955.3i 0.0752193 0.499047i
\(246\) 1598.65 + 1483.33i 0.0264170 + 0.0245114i
\(247\) 2367.98 + 4917.16i 0.0388136 + 0.0805972i
\(248\) −12711.8 84337.2i −0.206682 1.37125i
\(249\) 60807.2 89187.7i 0.980745 1.43849i
\(250\) −26484.6 + 33210.6i −0.423753 + 0.531370i
\(251\) −27930.0 48376.1i −0.443326 0.767863i 0.554608 0.832112i \(-0.312868\pi\)
−0.997934 + 0.0642488i \(0.979535\pi\)
\(252\) −969.333 559.645i −0.0152641 0.00881274i
\(253\) 31443.3 + 80116.1i 0.491232 + 1.25164i
\(254\) −38077.1 + 79067.8i −0.590196 + 1.22555i
\(255\) 26508.4 + 8176.75i 0.407664 + 0.125748i
\(256\) 15327.1 67152.3i 0.233873 1.02466i
\(257\) 76490.1i 1.15808i 0.815299 + 0.579040i \(0.196573\pi\)
−0.815299 + 0.579040i \(0.803427\pi\)
\(258\) 40465.3 31624.7i 0.607916 0.475102i
\(259\) 12954.8 0.193122
\(260\) −20870.4 4763.54i −0.308734 0.0704666i
\(261\) 740.556 2400.82i 0.0108712 0.0352435i
\(262\) 42420.1 + 20428.4i 0.617972 + 0.297600i
\(263\) 63957.7 25101.5i 0.924658 0.362901i 0.145233 0.989397i \(-0.453607\pi\)
0.779425 + 0.626496i \(0.215512\pi\)
\(264\) −63534.5 + 110045.i −0.911594 + 1.57893i
\(265\) 1519.11 877.056i 0.0216320 0.0124892i
\(266\) −863.614 688.709i −0.0122055 0.00973358i
\(267\) 9979.44 + 6803.87i 0.139986 + 0.0954406i
\(268\) 4876.33 734.988i 0.0678928 0.0102332i
\(269\) −60860.9 + 29309.1i −0.841073 + 0.405039i −0.804256 0.594283i \(-0.797436\pi\)
−0.0368167 + 0.999322i \(0.511722\pi\)
\(270\) 18408.9 19840.1i 0.252522 0.272154i
\(271\) 137892. + 20783.9i 1.87759 + 0.283002i 0.985606 0.169056i \(-0.0540719\pi\)
0.891988 + 0.452058i \(0.149310\pi\)
\(272\) −15692.0 + 4840.33i −0.212099 + 0.0654240i
\(273\) −2099.36 28014.0i −0.0281684 0.375881i
\(274\) 54996.7 + 68963.7i 0.732547 + 0.918585i
\(275\) 30848.2 78600.0i 0.407910 1.03934i
\(276\) 21765.1 + 23457.2i 0.285721 + 0.307934i
\(277\) −72754.7 106711.i −0.948203 1.39076i −0.920328 0.391147i \(-0.872078\pi\)
−0.0278746 0.999611i \(-0.508874\pi\)
\(278\) −69782.3 5229.46i −0.902933 0.0676655i
\(279\) 2870.96 + 12578.5i 0.0368823 + 0.161592i
\(280\) 13169.8 3005.93i 0.167983 0.0383410i
\(281\) −430.375 + 5742.95i −0.00545047 + 0.0727315i −0.999266 0.0383146i \(-0.987801\pi\)
0.993815 + 0.111046i \(0.0354201\pi\)
\(282\) −64180.9 + 43757.8i −0.807063 + 0.550246i
\(283\) −42007.0 + 38976.8i −0.524505 + 0.486669i −0.897408 0.441201i \(-0.854553\pi\)
0.372904 + 0.927870i \(0.378362\pi\)
\(284\) −49412.5 19393.0i −0.612633 0.240441i
\(285\) 2738.31 2183.73i 0.0337127 0.0268850i
\(286\) −115620. + 8664.56i −1.41352 + 0.105929i
\(287\) 331.116 + 1073.45i 0.00401991 + 0.0130322i
\(288\) −1340.26 + 8892.02i −0.0161586 + 0.107205i
\(289\) 28767.4 + 26692.3i 0.344433 + 0.319587i
\(290\) 4219.77 + 8762.45i 0.0501756 + 0.104191i
\(291\) −5875.15 38979.1i −0.0693798 0.460305i
\(292\) 18237.6 26749.6i 0.213896 0.313727i
\(293\) 30799.0 38620.7i 0.358757 0.449867i −0.569397 0.822063i \(-0.692823\pi\)
0.928155 + 0.372195i \(0.121395\pi\)
\(294\) −30501.8 52830.6i −0.352883 0.611211i
\(295\) 47631.5 + 27500.0i 0.547331 + 0.316002i
\(296\) −22643.7 57695.3i −0.258443 0.658502i
\(297\) −56900.1 + 118154.i −0.645060 + 1.33948i
\(298\) −18614.2 5741.70i −0.209609 0.0646559i
\(299\) −20256.8 + 88750.7i −0.226583 + 0.992726i
\(300\) 31393.7i 0.348819i
\(301\) 26196.6 3685.69i 0.289143 0.0406804i
\(302\) −34293.1 −0.376004
\(303\) −93547.0 21351.5i −1.01893 0.232564i
\(304\) −611.119 + 1981.20i −0.00661270 + 0.0214378i
\(305\) 23549.9 + 11341.0i 0.253156 + 0.121914i
\(306\) 5894.17 2313.29i 0.0629477 0.0247052i
\(307\) −6683.86 + 11576.8i −0.0709170 + 0.122832i −0.899303 0.437325i \(-0.855926\pi\)
0.828386 + 0.560157i \(0.189259\pi\)
\(308\) −18181.2 + 10496.9i −0.191656 + 0.110652i
\(309\) 23518.9 + 18755.7i 0.246320 + 0.196434i
\(310\) −41264.8 28133.9i −0.429395 0.292756i
\(311\) −134179. + 20224.2i −1.38727 + 0.209098i −0.799859 0.600188i \(-0.795092\pi\)
−0.587415 + 0.809286i \(0.699854\pi\)
\(312\) −121093. + 58315.3i −1.24397 + 0.599064i
\(313\) 42883.3 46217.2i 0.437723 0.471753i −0.475204 0.879875i \(-0.657626\pi\)
0.912927 + 0.408122i \(0.133816\pi\)
\(314\) 103482. + 15597.5i 1.04956 + 0.158196i
\(315\) −1952.68 + 602.321i −0.0196793 + 0.00607026i
\(316\) 2010.65 + 26830.3i 0.0201355 + 0.268690i
\(317\) 112947. + 141631.i 1.12398 + 1.40942i 0.900578 + 0.434695i \(0.143144\pi\)
0.223399 + 0.974727i \(0.428285\pi\)
\(318\) 1290.50 3288.15i 0.0127616 0.0325160i
\(319\) −32052.8 34544.7i −0.314981 0.339469i
\(320\) −29310.8 42991.0i −0.286238 0.419834i
\(321\) 179491. + 13451.0i 1.74194 + 0.130540i
\(322\) −4099.89 17962.8i −0.0395422 0.173246i
\(323\) −5450.14 + 1243.96i −0.0522400 + 0.0119234i
\(324\) −4117.27 + 54941.2i −0.0392211 + 0.523369i
\(325\) 73791.7 50310.3i 0.698619 0.476311i
\(326\) 97770.7 90717.9i 0.919969 0.853607i
\(327\) 58440.7 + 22936.3i 0.546537 + 0.214500i
\(328\) 4201.94 3350.94i 0.0390573 0.0311472i
\(329\) −39901.0 + 2990.17i −0.368631 + 0.0276251i
\(330\) 21932.0 + 71101.8i 0.201396 + 0.652909i
\(331\) 18289.1 121340.i 0.166931 1.10751i −0.735766 0.677236i \(-0.763178\pi\)
0.902697 0.430278i \(-0.141584\pi\)
\(332\) −62546.8 58035.0i −0.567452 0.526518i
\(333\) 4068.00 + 8447.30i 0.0366854 + 0.0761780i
\(334\) −3670.14 24349.8i −0.0328996 0.218274i
\(335\) 5071.67 7438.77i 0.0451919 0.0662844i
\(336\) 6653.97 8343.82i 0.0589389 0.0739071i
\(337\) −46058.9 79776.4i −0.405559 0.702448i 0.588828 0.808259i \(-0.299590\pi\)
−0.994386 + 0.105810i \(0.966256\pi\)
\(338\) −34327.5 19819.0i −0.300475 0.173479i
\(339\) 40159.3 + 102324.i 0.349452 + 0.890388i
\(340\) 9514.01 19756.0i 0.0823011 0.170900i
\(341\) 231244. + 71329.2i 1.98866 + 0.613421i
\(342\) 177.891 779.391i 0.00152090 0.00666351i
\(343\) 65775.9i 0.559086i
\(344\) −62203.5 110226.i −0.525652 0.931470i
\(345\) 58420.5 0.490825
\(346\) −9761.16 2227.92i −0.0815359 0.0186100i
\(347\) 50575.5 163962.i 0.420031 1.36171i −0.460476 0.887672i \(-0.652321\pi\)
0.880507 0.474034i \(-0.157203\pi\)
\(348\) −15785.8 7602.06i −0.130349 0.0627730i
\(349\) −199635. + 78351.0i −1.63903 + 0.643270i −0.992790 0.119867i \(-0.961753\pi\)
−0.646236 + 0.763137i \(0.723658\pi\)
\(350\) −9038.03 + 15654.3i −0.0737799 + 0.127790i
\(351\) −120127. + 69355.3i −0.975048 + 0.562944i
\(352\) 131869. + 105162.i 1.06428 + 0.848736i
\(353\) 149865. + 102177.i 1.20269 + 0.819977i 0.987657 0.156630i \(-0.0500632\pi\)
0.215029 + 0.976608i \(0.431016\pi\)
\(354\) 109519. 16507.3i 0.873941 0.131725i
\(355\) −87313.3 + 42047.9i −0.692825 + 0.333647i
\(356\) 6493.68 6998.52i 0.0512378 0.0552213i
\(357\) 28454.1 + 4288.76i 0.223258 + 0.0336508i
\(358\) 137421. 42388.7i 1.07223 0.330738i
\(359\) −6753.38 90117.6i −0.0524001 0.699231i −0.960108 0.279629i \(-0.909789\pi\)
0.907708 0.419602i \(-0.137830\pi\)
\(360\) 6095.57 + 7643.60i 0.0470337 + 0.0589784i
\(361\) 47353.7 120655.i 0.363362 0.925832i
\(362\) 122049. + 131538.i 0.931361 + 1.00377i
\(363\) −124267. 182266.i −0.943065 1.38322i
\(364\) −22143.5 1659.43i −0.167126 0.0125243i
\(365\) −13152.5 57624.7i −0.0987238 0.432537i
\(366\) 51316.2 11712.6i 0.383083 0.0874361i
\(367\) −2155.33 + 28760.9i −0.0160023 + 0.213536i 0.983471 + 0.181068i \(0.0579555\pi\)
−0.999473 + 0.0324673i \(0.989664\pi\)
\(368\) −28573.6 + 19481.2i −0.210994 + 0.143853i
\(369\) −595.978 + 552.987i −0.00437701 + 0.00406127i
\(370\) −33784.5 13259.4i −0.246782 0.0968550i
\(371\) 1422.57 1134.46i 0.0103354 0.00824218i
\(372\) 89722.4 6723.77i 0.648358 0.0485877i
\(373\) −62810.7 203627.i −0.451456 1.46359i −0.840219 0.542247i \(-0.817574\pi\)
0.388763 0.921338i \(-0.372903\pi\)
\(374\) 17700.7 117437.i 0.126546 0.839578i
\(375\) −102415. 95027.6i −0.728287 0.675752i
\(376\) 83059.9 + 172476.i 0.587511 + 1.21998i
\(377\) −7428.93 49287.7i −0.0522689 0.346782i
\(378\) 15814.9 23196.2i 0.110684 0.162343i
\(379\) −162537. + 203815.i −1.13155 + 1.41892i −0.237256 + 0.971447i \(0.576248\pi\)
−0.894297 + 0.447475i \(0.852323\pi\)
\(380\) −1384.24 2397.57i −0.00958614 0.0166037i
\(381\) −249970. 144320.i −1.72202 0.994207i
\(382\) 49041.8 + 124956.i 0.336078 + 0.856312i
\(383\) −100231. + 208132.i −0.683288 + 1.41886i 0.213740 + 0.976890i \(0.431435\pi\)
−0.897029 + 0.441972i \(0.854279\pi\)
\(384\) 26783.1 + 8261.48i 0.181634 + 0.0560268i
\(385\) −8528.79 + 37367.1i −0.0575395 + 0.252097i
\(386\) 127789.i 0.857666i
\(387\) 10629.4 + 15924.4i 0.0709720 + 0.106326i
\(388\) −31158.8 −0.206975
\(389\) 40858.0 + 9325.57i 0.270009 + 0.0616277i 0.355382 0.934721i \(-0.384351\pi\)
−0.0853727 + 0.996349i \(0.527208\pi\)
\(390\) −23197.9 + 75205.6i −0.152517 + 0.494449i
\(391\) −84011.8 40457.9i −0.549524 0.264637i
\(392\) −139947. + 54925.2i −0.910735 + 0.357437i
\(393\) −77428.1 + 134109.i −0.501318 + 0.868308i
\(394\) 174261. 100610.i 1.12256 0.648108i
\(395\) 38404.2 + 30626.4i 0.246142 + 0.196291i
\(396\) −12553.8 8559.02i −0.0800542 0.0545800i
\(397\) 41338.9 6230.83i 0.262287 0.0395335i −0.0165820 0.999863i \(-0.505278\pi\)
0.278869 + 0.960329i \(0.410040\pi\)
\(398\) −142101. + 68432.1i −0.897078 + 0.432010i
\(399\) 2471.11 2663.23i 0.0155220 0.0167287i
\(400\) 33549.3 + 5056.75i 0.209683 + 0.0316047i
\(401\) −59996.0 + 18506.3i −0.373107 + 0.115088i −0.475637 0.879642i \(-0.657782\pi\)
0.102530 + 0.994730i \(0.467306\pi\)
\(402\) −1354.86 18079.3i −0.00838382 0.111874i
\(403\) 159590. + 200119.i 0.982641 + 1.23219i
\(404\) −27709.4 + 70602.4i −0.169771 + 0.432570i
\(405\) 68416.0 + 73734.9i 0.417107 + 0.449535i
\(406\) 5682.95 + 8335.36i 0.0344764 + 0.0505676i
\(407\) 175365. + 13141.8i 1.05865 + 0.0793350i
\(408\) −30634.5 134219.i −0.184031 0.806293i
\(409\) −132612. + 30267.9i −0.792751 + 0.180940i −0.599675 0.800243i \(-0.704704\pi\)
−0.193076 + 0.981184i \(0.561846\pi\)
\(410\) 235.185 3138.33i 0.00139908 0.0186694i
\(411\) −239707. + 163429.i −1.41905 + 0.967489i
\(412\) 17430.5 16173.1i 0.102687 0.0952795i
\(413\) 53107.7 + 20843.2i 0.311356 + 0.122198i
\(414\) 10425.4 8313.95i 0.0608262 0.0485073i
\(415\) −155338. + 11641.0i −0.901950 + 0.0675918i
\(416\) 52584.8 + 170476.i 0.303860 + 0.985089i
\(417\) 34303.4 227588.i 0.197272 1.30881i
\(418\) −10991.8 10198.9i −0.0629093 0.0583713i
\(419\) 34395.6 + 71423.2i 0.195918 + 0.406829i 0.975665 0.219267i \(-0.0703664\pi\)
−0.779747 + 0.626095i \(0.784652\pi\)
\(420\) 2123.92 + 14091.3i 0.0120403 + 0.0798825i
\(421\) −110278. + 161748.i −0.622193 + 0.912589i −0.999911 0.0133314i \(-0.995756\pi\)
0.377718 + 0.925921i \(0.376709\pi\)
\(422\) 23456.7 29413.8i 0.131717 0.165168i
\(423\) −14479.3 25078.8i −0.0809219 0.140161i
\(424\) −7538.93 4352.60i −0.0419351 0.0242112i
\(425\) 33421.9 + 85157.7i 0.185035 + 0.471461i
\(426\) −84673.4 + 175826.i −0.466582 + 0.968868i
\(427\) 25908.7 + 7991.78i 0.142099 + 0.0438317i
\(428\) 31659.3 138709.i 0.172828 0.757209i
\(429\) 381345.i 2.07206i
\(430\) −72089.7 17200.8i −0.389885 0.0930276i
\(431\) 160819. 0.865730 0.432865 0.901459i \(-0.357503\pi\)
0.432865 + 0.901459i \(0.357503\pi\)
\(432\) −51373.9 11725.8i −0.275280 0.0628309i
\(433\) −97650.8 + 316576.i −0.520835 + 1.68851i 0.187195 + 0.982323i \(0.440060\pi\)
−0.708030 + 0.706182i \(0.750416\pi\)
\(434\) −46675.4 22477.7i −0.247804 0.119336i
\(435\) −29776.5 + 11686.4i −0.157360 + 0.0617593i
\(436\) 24812.2 42976.0i 0.130525 0.226075i
\(437\) −10195.6 + 5886.42i −0.0533887 + 0.0308240i
\(438\) −93057.9 74211.2i −0.485070 0.386831i
\(439\) −244089. 166417.i −1.26654 0.863514i −0.271449 0.962453i \(-0.587503\pi\)
−0.995094 + 0.0989385i \(0.968455\pi\)
\(440\) 181325. 27330.3i 0.936594 0.141169i
\(441\) 20490.0 9867.45i 0.105357 0.0507374i
\(442\) 85442.0 92084.6i 0.437348 0.471349i
\(443\) 228190. + 34394.0i 1.16276 + 0.175257i 0.701938 0.712238i \(-0.252318\pi\)
0.460817 + 0.887495i \(0.347556\pi\)
\(444\) 62478.9 19272.2i 0.316933 0.0977608i
\(445\) −1302.54 17381.2i −0.00657766 0.0877728i
\(446\) 2849.74 + 3573.47i 0.0143264 + 0.0179647i
\(447\) 23406.9 59639.9i 0.117147 0.298485i
\(448\) −36710.9 39564.9i −0.182911 0.197131i
\(449\) 40577.1 + 59515.6i 0.201274 + 0.295215i 0.913584 0.406650i \(-0.133303\pi\)
−0.712310 + 0.701865i \(0.752351\pi\)
\(450\) −13045.6 977.633i −0.0644228 0.00482782i
\(451\) 3393.25 + 14866.8i 0.0166826 + 0.0730912i
\(452\) 84709.4 19334.4i 0.414624 0.0946353i
\(453\) 8428.86 112475.i 0.0410745 0.548102i
\(454\) −121204. + 82635.2i −0.588036 + 0.400916i
\(455\) −29718.1 + 27574.4i −0.143548 + 0.133194i
\(456\) −16180.1 6350.24i −0.0778131 0.0305394i
\(457\) 142907. 113965.i 0.684260 0.545679i −0.218493 0.975838i \(-0.570114\pi\)
0.902753 + 0.430160i \(0.141543\pi\)
\(458\) −92113.5 + 6902.95i −0.439129 + 0.0329082i
\(459\) −41879.6 135770.i −0.198782 0.644435i
\(460\) 6882.49 45662.3i 0.0325259 0.215795i
\(461\) −61703.2 57252.2i −0.290340 0.269396i 0.521532 0.853232i \(-0.325361\pi\)
−0.811872 + 0.583836i \(0.801551\pi\)
\(462\) 33488.3 + 69539.2i 0.156895 + 0.325796i
\(463\) −24041.6 159506.i −0.112151 0.744072i −0.972250 0.233945i \(-0.924837\pi\)
0.860099 0.510127i \(-0.170402\pi\)
\(464\) 10666.8 15645.3i 0.0495446 0.0726686i
\(465\) 102417. 128427.i 0.473658 0.593948i
\(466\) −22918.8 39696.5i −0.105541 0.182802i
\(467\) 40911.6 + 23620.3i 0.187591 + 0.108306i 0.590854 0.806778i \(-0.298791\pi\)
−0.403263 + 0.915084i \(0.632124\pi\)
\(468\) −5871.34 14959.9i −0.0268068 0.0683027i
\(469\) 4052.03 8414.12i 0.0184216 0.0382528i
\(470\) 107117. + 33041.3i 0.484913 + 0.149576i
\(471\) −76591.7 + 335570.i −0.345255 + 1.51266i
\(472\) 272951.i 1.22518i
\(473\) 358353. 23317.2i 1.60173 0.104221i
\(474\) 98916.7 0.440264
\(475\) 11260.5 + 2570.13i 0.0499079 + 0.0113911i
\(476\) 6704.32 21734.9i 0.0295897 0.0959276i
\(477\) 1186.44 + 571.361i 0.00521447 + 0.00251116i
\(478\) 75881.4 29781.3i 0.332108 0.130343i
\(479\) 93964.9 162752.i 0.409538 0.709341i −0.585300 0.810817i \(-0.699023\pi\)
0.994838 + 0.101476i \(0.0323564\pi\)
\(480\) 99150.5 57244.6i 0.430341 0.248457i
\(481\) 145426. + 115973.i 0.628566 + 0.501265i
\(482\) 138654. + 94532.6i 0.596813 + 0.406900i
\(483\) 59922.6 9031.87i 0.256860 0.0387154i
\(484\) −157102. + 75656.1i −0.670641 + 0.322963i
\(485\) −38692.3 + 41700.3i −0.164490 + 0.177279i
\(486\) 43127.7 + 6500.45i 0.182593 + 0.0275214i
\(487\) 119134. 36747.8i 0.502315 0.154944i −0.0332342 0.999448i \(-0.510581\pi\)
0.535549 + 0.844504i \(0.320105\pi\)
\(488\) −9693.84 129355.i −0.0407058 0.543181i
\(489\) 273508. + 342968.i 1.14381 + 1.43429i
\(490\) −32162.4 + 81948.6i −0.133954 + 0.341310i
\(491\) −221014. 238196.i −0.916760 0.988033i 0.0832034 0.996533i \(-0.473485\pi\)
−0.999964 + 0.00849980i \(0.997294\pi\)
\(492\) 3193.83 + 4684.49i 0.0131942 + 0.0193523i
\(493\) 50913.4 + 3815.43i 0.209478 + 0.0156982i
\(494\) −3529.18 15462.4i −0.0144617 0.0633609i
\(495\) −27043.7 + 6172.54i −0.110371 + 0.0251915i
\(496\) −7266.61 + 96966.1i −0.0295371 + 0.394146i
\(497\) −83057.6 + 56627.7i −0.336253 + 0.229254i
\(498\) −229950. + 213362.i −0.927202 + 0.860318i
\(499\) −198060. 77732.8i −0.795418 0.312179i −0.0673910 0.997727i \(-0.521467\pi\)
−0.728028 + 0.685548i \(0.759563\pi\)
\(500\) −86340.6 + 68854.3i −0.345362 + 0.275417i
\(501\) 80765.2 6052.51i 0.321772 0.0241135i
\(502\) 47847.7 + 155118.i 0.189869 + 0.615539i
\(503\) −17287.0 + 114692.i −0.0683257 + 0.453311i 0.928341 + 0.371730i \(0.121235\pi\)
−0.996667 + 0.0815816i \(0.974003\pi\)
\(504\) 7434.01 + 6897.75i 0.0292659 + 0.0271548i
\(505\) 60079.5 + 124756.i 0.235583 + 0.489193i
\(506\) −37276.7 247315.i −0.145592 0.965937i
\(507\) 73440.1 107717.i 0.285705 0.419052i
\(508\) −142252. + 178378.i −0.551226 + 0.691216i
\(509\) 14197.6 + 24590.9i 0.0547998 + 0.0949160i 0.892124 0.451791i \(-0.149215\pi\)
−0.837324 + 0.546707i \(0.815881\pi\)
\(510\) −69815.0 40307.7i −0.268416 0.154970i
\(511\) −22399.5 57073.0i −0.0857821 0.218569i
\(512\) −66490.7 + 138069.i −0.253642 + 0.526693i
\(513\) −17141.8 5287.53i −0.0651359 0.0200918i
\(514\) 49462.4 216709.i 0.187218 0.820257i
\(515\) 43410.9i 0.163676i
\(516\) 120859. 56746.7i 0.453919 0.213128i
\(517\) −543159. −2.03210
\(518\) −36703.1 8377.25i −0.136787 0.0312206i
\(519\) 9706.37 31467.3i 0.0360348 0.116822i
\(520\) 174749. + 84154.7i 0.646261 + 0.311223i
\(521\) 264046. 103630.i 0.972756 0.381779i 0.174873 0.984591i \(-0.444048\pi\)
0.797883 + 0.602812i \(0.205953\pi\)
\(522\) −3650.61 + 6323.04i −0.0133975 + 0.0232052i
\(523\) 127581. 73658.6i 0.466424 0.269290i −0.248318 0.968679i \(-0.579878\pi\)
0.714742 + 0.699389i \(0.246544\pi\)
\(524\) 95700.2 + 76318.3i 0.348538 + 0.277950i
\(525\) −49122.0 33490.8i −0.178221 0.121509i
\(526\) −197434. + 29758.4i −0.713594 + 0.107557i
\(527\) −236220. + 113758.i −0.850542 + 0.409599i
\(528\) 98536.5 106197.i 0.353451 0.380930i
\(529\) 82538.2 + 12440.6i 0.294947 + 0.0444561i
\(530\) −4871.02 + 1502.51i −0.0173408 + 0.00534892i
\(531\) 3085.59 + 41174.4i 0.0109433 + 0.146029i
\(532\) −1790.50 2245.21i −0.00632631 0.00793294i
\(533\) −5892.69 + 15014.3i −0.0207424 + 0.0528508i
\(534\) −23873.6 25729.7i −0.0837213 0.0902301i
\(535\) −146322. 214615.i −0.511214 0.749813i
\(536\) −44555.5 3338.97i −0.155086 0.0116221i
\(537\) 105251. + 461135.i 0.364987 + 1.59911i
\(538\) 191381. 43681.6i 0.661204 0.150915i
\(539\) 31877.0 425369.i 0.109724 1.46416i
\(540\) 58136.9 39637.1i 0.199372 0.135930i
\(541\) −147208. + 136589.i −0.502964 + 0.466682i −0.890377 0.455224i \(-0.849559\pi\)
0.387413 + 0.921906i \(0.373369\pi\)
\(542\) −377232. 148052.i −1.28413 0.503984i
\(543\) −461420. + 367970.i −1.56494 + 1.24799i
\(544\) −182227. + 13656.1i −0.615766 + 0.0461453i
\(545\) −26704.3 86573.3i −0.0899059 0.291468i
\(546\) −12167.4 + 80725.7i −0.0408145 + 0.270786i
\(547\) −270103. 250619.i −0.902724 0.837606i 0.0845849 0.996416i \(-0.473044\pi\)
−0.987309 + 0.158811i \(0.949234\pi\)
\(548\) 99499.0 + 206612.i 0.331328 + 0.688009i
\(549\) 2924.61 + 19403.5i 0.00970339 + 0.0643778i
\(550\) −138225. + 202738.i −0.456941 + 0.670210i
\(551\) 4019.09 5039.78i 0.0132381 0.0166000i
\(552\) −144963. 251083.i −0.475749 0.824022i
\(553\) 44126.6 + 25476.5i 0.144295 + 0.0833085i
\(554\) 137121. + 349378.i 0.446769 + 1.13835i
\(555\) 51792.5 107548.i 0.168144 0.349154i
\(556\) −173845. 53624.2i −0.562358 0.173465i
\(557\) 72590.7 318041.i 0.233976 1.02511i −0.712331 0.701844i \(-0.752360\pi\)
0.946306 0.323271i \(-0.104782\pi\)
\(558\) 37493.4i 0.120417i
\(559\) 327067. + 193141.i 1.04668 + 0.618089i
\(560\) −15400.9 −0.0491101
\(561\) 380822. + 86920.0i 1.21003 + 0.276181i
\(562\) 4933.00 15992.4i 0.0156185 0.0506339i
\(563\) 134740. + 64887.6i 0.425090 + 0.204713i 0.634183 0.773183i \(-0.281337\pi\)
−0.209092 + 0.977896i \(0.567051\pi\)
\(564\) −187987. + 73779.6i −0.590977 + 0.231941i
\(565\) 79314.7 137377.i 0.248460 0.430346i
\(566\) 144217. 83263.8i 0.450178 0.259910i
\(567\) 81574.6 + 65053.6i 0.253740 + 0.202351i
\(568\) 397372. + 270924.i 1.23169 + 0.839751i
\(569\) 92038.0 13872.5i 0.284278 0.0428479i −0.00535568 0.999986i \(-0.501705\pi\)
0.289633 + 0.957138i \(0.406467\pi\)
\(570\) −9170.19 + 4416.13i −0.0282247 + 0.0135923i
\(571\) 250443. 269913.i 0.768132 0.827850i −0.220939 0.975288i \(-0.570912\pi\)
0.989071 + 0.147438i \(0.0471026\pi\)
\(572\) −298065. 44926.1i −0.911001 0.137311i
\(573\) −421889. + 130136.i −1.28496 + 0.396357i
\(574\) −243.957 3255.38i −0.000740439 0.00988048i
\(575\) 120118. + 150623.i 0.363306 + 0.455571i
\(576\) 14270.9 36361.6i 0.0430136 0.109597i
\(577\) −145130. 156413.i −0.435920 0.469810i 0.476435 0.879210i \(-0.341929\pi\)
−0.912355 + 0.409400i \(0.865738\pi\)
\(578\) −64242.2 94225.9i −0.192293 0.282043i
\(579\) 419125. + 31409.1i 1.25022 + 0.0936910i
\(580\) 5626.32 + 24650.5i 0.0167251 + 0.0732774i
\(581\) −157533. + 35955.8i −0.466679 + 0.106517i
\(582\) −8560.59 + 114233.i −0.0252731 + 0.337245i
\(583\) 20407.6 13913.7i 0.0600421 0.0409360i
\(584\) −215027. + 199516.i −0.630474 + 0.584994i
\(585\) −27312.0 10719.2i −0.0798072 0.0313220i
\(586\) −112232. + 89502.4i −0.326831 + 0.260639i
\(587\) 104516. 7832.43i 0.303325 0.0227311i 0.0778019 0.996969i \(-0.475210\pi\)
0.225523 + 0.974238i \(0.427591\pi\)
\(588\) −46747.1 151550.i −0.135207 0.438331i
\(589\) −4933.64 + 32732.6i −0.0142212 + 0.0943516i
\(590\) −117165. 108713.i −0.336583 0.312304i
\(591\) 287151. + 596275.i 0.822120 + 1.70715i
\(592\) 10531.7 + 69873.2i 0.0300507 + 0.199373i
\(593\) −253430. + 371714.i −0.720691 + 1.05706i 0.274735 + 0.961520i \(0.411410\pi\)
−0.995426 + 0.0955395i \(0.969542\pi\)
\(594\) 237612. 297956.i 0.673434 0.844459i
\(595\) −20762.9 35962.4i −0.0586481 0.101581i
\(596\) −43857.9 25321.4i −0.123468 0.0712845i
\(597\) −189519. 482885.i −0.531744 1.35486i
\(598\) 114781. 238346.i 0.320973 0.666508i
\(599\) −206408. 63668.4i −0.575271 0.177448i −0.00655076 0.999979i \(-0.502085\pi\)
−0.568720 + 0.822531i \(0.692561\pi\)
\(600\) −63293.6 + 277307.i −0.175816 + 0.770298i
\(601\) 554821.i 1.53604i 0.640423 + 0.768022i \(0.278759\pi\)
−0.640423 + 0.768022i \(0.721241\pi\)
\(602\) −76602.6 6497.90i −0.211373 0.0179300i
\(603\) 6758.89 0.0185883
\(604\) −86919.5 19838.8i −0.238256 0.0543803i
\(605\) −93833.2 + 304200.i −0.256357 + 0.831090i
\(606\) 251227. + 120985.i 0.684102 + 0.329446i
\(607\) 247895. 97291.7i 0.672807 0.264057i −0.00424652 0.999991i \(-0.501352\pi\)
0.677054 + 0.735934i \(0.263256\pi\)
\(608\) −11535.9 + 19980.7i −0.0312064 + 0.0540510i
\(609\) −28735.3 + 16590.4i −0.0774786 + 0.0447323i
\(610\) −59386.9 47359.5i −0.159599 0.127276i
\(611\) −474681. 323632.i −1.27151 0.866901i
\(612\) 16277.7 2453.46i 0.0434599 0.00655053i
\(613\) 360581. 173647.i 0.959582 0.462110i 0.112546 0.993646i \(-0.464099\pi\)
0.847036 + 0.531536i \(0.178385\pi\)
\(614\) 26422.6 28476.8i 0.0700872 0.0755360i
\(615\) 10235.4 + 1542.73i 0.0270616 + 0.00407887i
\(616\) 181762. 56066.0i 0.479006 0.147754i
\(617\) −34643.7 462287.i −0.0910025 1.21434i −0.836550 0.547891i \(-0.815431\pi\)
0.745547 0.666453i \(-0.232188\pi\)
\(618\) −54504.4 68346.4i −0.142710 0.178953i
\(619\) 166465. 424146.i 0.434452 1.10697i −0.531227 0.847230i \(-0.678269\pi\)
0.965679 0.259737i \(-0.0836359\pi\)
\(620\) −88314.5 95180.4i −0.229746 0.247608i
\(621\) −168555. 247225.i −0.437078 0.641075i
\(622\) 393227. + 29468.3i 1.01640 + 0.0761683i
\(623\) −4023.19 17626.7i −0.0103656 0.0454146i
\(624\) 149390. 34097.2i 0.383664 0.0875689i
\(625\) 5238.80 69906.9i 0.0134113 0.178962i
\(626\) −151382. + 103210.i −0.386300 + 0.263375i
\(627\) 36152.2 33544.3i 0.0919601 0.0853265i
\(628\) 253264. + 99398.7i 0.642175 + 0.252035i
\(629\) −148961. + 118792.i −0.376505 + 0.300253i
\(630\) 5921.74 443.773i 0.0149200 0.00111810i
\(631\) 42416.7 + 137512.i 0.106532 + 0.345367i 0.993106 0.117219i \(-0.0373979\pi\)
−0.886575 + 0.462586i \(0.846922\pi\)
\(632\) 36332.6 241051.i 0.0909626 0.603497i
\(633\) 90706.7 + 84163.5i 0.226377 + 0.210047i
\(634\) −228412. 474302.i −0.568251 1.17999i
\(635\) 62081.4 + 411883.i 0.153962 + 1.02147i
\(636\) 5173.13 7587.59i 0.0127891 0.0187581i
\(637\) 281307. 352748.i 0.693270 0.869333i
\(638\) 68472.4 + 118598.i 0.168219 + 0.291363i
\(639\) −63005.9 36376.5i −0.154305 0.0890879i
\(640\) −14777.1 37651.6i −0.0360770 0.0919227i
\(641\) −220784. + 458463.i −0.537343 + 1.11580i 0.438781 + 0.898594i \(0.355410\pi\)
−0.976125 + 0.217211i \(0.930304\pi\)
\(642\) −499830. 154177.i −1.21270 0.374067i
\(643\) −30395.0 + 133169.i −0.0735158 + 0.322094i −0.998292 0.0584170i \(-0.981395\pi\)
0.924776 + 0.380511i \(0.124252\pi\)
\(644\) 47900.4i 0.115496i
\(645\) 74134.5 232214.i 0.178197 0.558173i
\(646\) 16245.5 0.0389286
\(647\) −85998.6 19628.6i −0.205439 0.0468901i 0.118563 0.992947i \(-0.462171\pi\)
−0.324002 + 0.946056i \(0.605028\pi\)
\(648\) 147137. 477006.i 0.350406 1.13599i
\(649\) 697755. + 336021.i 1.65658 + 0.797769i
\(650\) −241597. + 94819.8i −0.571827 + 0.224426i
\(651\) 85195.2 147562.i 0.201026 0.348188i
\(652\) 300291. 173373.i 0.706394 0.407837i
\(653\) −291228. 232247.i −0.682979 0.544658i 0.219382 0.975639i \(-0.429596\pi\)
−0.902361 + 0.430982i \(0.858167\pi\)
\(654\) −150740. 102773.i −0.352430 0.240283i
\(655\) 220976. 33306.8i 0.515067 0.0776338i
\(656\) −5520.59 + 2658.58i −0.0128286 + 0.00617791i
\(657\) 30181.1 32527.5i 0.0699206 0.0753564i
\(658\) 114980. + 17330.4i 0.265564 + 0.0400273i
\(659\) 412614. 127275.i 0.950109 0.293070i 0.219304 0.975656i \(-0.429621\pi\)
0.730805 + 0.682587i \(0.239145\pi\)
\(660\) 14456.1 + 192903.i 0.0331866 + 0.442844i
\(661\) 183827. + 230511.i 0.420732 + 0.527582i 0.946352 0.323138i \(-0.104738\pi\)
−0.525619 + 0.850720i \(0.676166\pi\)
\(662\) −130281. + 331950.i −0.297279 + 0.757455i
\(663\) 281021. + 302868.i 0.639309 + 0.689012i
\(664\) 435483. + 638737.i 0.987724 + 1.44872i
\(665\) −5228.21 391.800i −0.0118225 0.000885974i
\(666\) −6062.86 26563.1i −0.0136688 0.0598868i
\(667\) 104825. 23925.7i 0.235621 0.0537790i
\(668\) 4784.17 63840.4i 0.0107215 0.143068i
\(669\) −12420.8 + 8468.34i −0.0277522 + 0.0189211i
\(670\) −19179.1 + 17795.6i −0.0427247 + 0.0396428i
\(671\) 342610. + 134464.i 0.760947 + 0.298650i
\(672\) 92849.7 74045.2i 0.205609 0.163968i
\(673\) −218087. + 16343.4i −0.481505 + 0.0360838i −0.313272 0.949663i \(-0.601425\pi\)
−0.168233 + 0.985747i \(0.553806\pi\)
\(674\) 78904.9 + 255803.i 0.173694 + 0.563101i
\(675\) −43752.1 + 290276.i −0.0960265 + 0.637094i
\(676\) −75541.2 70092.0i −0.165307 0.153382i
\(677\) −85232.3 176987.i −0.185963 0.386156i 0.787056 0.616882i \(-0.211604\pi\)
−0.973019 + 0.230725i \(0.925890\pi\)
\(678\) −47609.8 315870.i −0.103571 0.687147i
\(679\) −33240.2 + 48754.4i −0.0720981 + 0.105749i
\(680\) −123870. + 155328.i −0.267884 + 0.335917i
\(681\) −241239. 417837.i −0.520179 0.900976i
\(682\) −609025. 351621.i −1.30938 0.755972i
\(683\) −180472. 459835.i −0.386873 0.985735i −0.983124 0.182938i \(-0.941439\pi\)
0.596252 0.802797i \(-0.296656\pi\)
\(684\) 901.767 1872.54i 0.00192745 0.00400238i
\(685\) 400068. + 123405.i 0.852614 + 0.262997i
\(686\) −42534.0 + 186354.i −0.0903833 + 0.395995i
\(687\) 303813.i 0.643713i
\(688\) 41175.8 + 138298.i 0.0869891 + 0.292172i
\(689\) 26125.1 0.0550324
\(690\) −165515. 37777.6i −0.347647 0.0793481i
\(691\) −89084.0 + 288803.i −0.186571 + 0.604847i 0.813169 + 0.582028i \(0.197741\pi\)
−0.999740 + 0.0228196i \(0.992736\pi\)
\(692\) −23451.8 11293.8i −0.0489739 0.0235846i
\(693\) −26784.7 + 10512.2i −0.0557726 + 0.0218891i
\(694\) −249314. + 431825.i −0.517641 + 0.896580i
\(695\) −287643. + 166071.i −0.595504 + 0.343814i
\(696\) 124113. + 98976.8i 0.256211 + 0.204322i
\(697\) −13650.6 9306.83i −0.0280987 0.0191574i
\(698\) 616264. 92886.9i 1.26490 0.190653i
\(699\) 135831. 65412.7i 0.278000 0.133878i
\(700\) −31964.0 + 34449.0i −0.0652327 + 0.0703041i
\(701\) −720653. 108621.i −1.46653 0.221043i −0.633270 0.773931i \(-0.718288\pi\)
−0.833256 + 0.552887i \(0.813526\pi\)
\(702\) 385187. 118815.i 0.781624 0.241099i
\(703\) 1797.65 + 23988.0i 0.00363743 + 0.0485382i
\(704\) −456806. 572816.i −0.921693 1.15577i
\(705\) −134698. + 343205.i −0.271008 + 0.690518i
\(706\) −358521. 386393.i −0.719291 0.775211i
\(707\) 80911.8 + 118676.i 0.161872 + 0.237423i
\(708\) 287137. + 21517.9i 0.572825 + 0.0429273i
\(709\) −144326. 632335.i −0.287113 1.25792i −0.888467 0.458941i \(-0.848229\pi\)
0.601353 0.798983i \(-0.294628\pi\)
\(710\) 274563. 62667.2i 0.544660 0.124315i
\(711\) −2755.76 + 36773.1i −0.00545133 + 0.0727429i
\(712\) −71469.9 + 48727.3i −0.140982 + 0.0961198i
\(713\) −404751. + 375554.i −0.796175 + 0.738742i
\(714\) −77841.6 30550.6i −0.152692 0.0599271i
\(715\) −430255. + 343117.i −0.841617 + 0.671167i
\(716\) 372830. 27939.7i 0.727251 0.0545000i
\(717\) 79026.5 + 256198.i 0.153721 + 0.498353i
\(718\) −39141.2 + 259685.i −0.0759250 + 0.503730i
\(719\) −365127. 338789.i −0.706295 0.655346i 0.242894 0.970053i \(-0.421903\pi\)
−0.949189 + 0.314707i \(0.898094\pi\)
\(720\) −4836.12 10042.3i −0.00932893 0.0193717i
\(721\) −6711.38 44527.1i −0.0129104 0.0856552i
\(722\) −212183. + 311215.i −0.407039 + 0.597016i
\(723\) −344130. + 431526.i −0.658334 + 0.825524i
\(724\) 233251. + 404003.i 0.444987 + 0.770739i
\(725\) −91353.9 52743.2i −0.173800 0.100344i
\(726\) 234205. + 596746.i 0.444348 + 1.13218i
\(727\) 33506.7 69577.4i 0.0633961 0.131643i −0.866863 0.498546i \(-0.833867\pi\)
0.930259 + 0.366903i \(0.119582\pi\)
\(728\) 192252. + 59302.0i 0.362752 + 0.111894i
\(729\) 99521.1 436030.i 0.187266 0.820468i
\(730\) 171765.i 0.322322i
\(731\) −267425. + 282596.i −0.500457 + 0.528848i
\(732\) 136842. 0.255386
\(733\) −855058. 195161.i −1.59143 0.363234i −0.667143 0.744930i \(-0.732483\pi\)
−0.924288 + 0.381696i \(0.875340\pi\)
\(734\) 24704.7 80090.5i 0.0458550 0.148658i
\(735\) −260872. 125629.i −0.482895 0.232550i
\(736\) −358234. + 140596.i −0.661319 + 0.259548i
\(737\) 63386.3 109788.i 0.116697 0.202125i
\(738\) 2046.09 1181.31i 0.00375675 0.00216896i
\(739\) 399574. + 318650.i 0.731659 + 0.583478i 0.916854 0.399224i \(-0.130720\pi\)
−0.185195 + 0.982702i \(0.559292\pi\)
\(740\) −77959.8 53152.1i −0.142366 0.0970637i
\(741\) 51581.3 7774.62i 0.0939411 0.0141593i
\(742\) −4763.97 + 2294.21i −0.00865290 + 0.00416701i
\(743\) −222064. + 239328.i −0.402254 + 0.433527i −0.901397 0.432993i \(-0.857458\pi\)
0.499143 + 0.866519i \(0.333648\pi\)
\(744\) −806093. 121499.i −1.45626 0.219496i
\(745\) −88349.8 + 27252.3i −0.159182 + 0.0491010i
\(746\) 46277.1 + 617525.i 0.0831551 + 1.10963i
\(747\) −72912.9 91429.8i −0.130666 0.163850i
\(748\) 112802. 287416.i 0.201612 0.513698i
\(749\) −183264. 197512.i −0.326674 0.352070i
\(750\) 228710. + 335456.i 0.406595 + 0.596365i
\(751\) −282426. 21164.9i −0.500754 0.0375264i −0.178041 0.984023i \(-0.556976\pi\)
−0.322713 + 0.946497i \(0.604595\pi\)
\(752\) −48565.5 212779.i −0.0858800 0.376265i
\(753\) −520521. + 118806.i −0.918013 + 0.209530i
\(754\) −10824.6 + 144444.i −0.0190401 + 0.254072i
\(755\) −134485. + 91690.5i −0.235929 + 0.160853i
\(756\) 53503.8 49644.2i