Properties

Label 43.5.h.a.3.9
Level 43
Weight 5
Character 43.3
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 3.9
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.597906 - 1.24156i) q^{2} +(8.51855 + 0.638377i) q^{3} +(8.79185 + 11.0246i) q^{4} +(-9.70706 + 31.4695i) q^{5} +(5.88588 - 10.1946i) q^{6} +(-17.8087 + 10.2819i) q^{7} +(40.4402 - 9.23021i) q^{8} +(-7.93707 - 1.19632i) q^{9} +O(q^{10})\) \(q+(0.597906 - 1.24156i) q^{2} +(8.51855 + 0.638377i) q^{3} +(8.79185 + 11.0246i) q^{4} +(-9.70706 + 31.4695i) q^{5} +(5.88588 - 10.1946i) q^{6} +(-17.8087 + 10.2819i) q^{7} +(40.4402 - 9.23021i) q^{8} +(-7.93707 - 1.19632i) q^{9} +(33.2675 + 30.8677i) q^{10} +(73.8724 - 92.6330i) q^{11} +(67.8560 + 99.5264i) q^{12} +(106.233 - 98.5700i) q^{13} +(2.11766 + 28.2582i) q^{14} +(-102.780 + 261.878i) q^{15} +(-37.4849 + 164.232i) q^{16} +(188.559 - 58.1629i) q^{17} +(-6.23092 + 9.13909i) q^{18} +(-94.2528 - 625.326i) q^{19} +(-432.283 + 169.658i) q^{20} +(-158.268 + 76.2179i) q^{21} +(-70.8411 - 147.103i) q^{22} +(4.42618 + 11.2777i) q^{23} +(350.384 - 52.8119i) q^{24} +(-379.705 - 258.878i) q^{25} +(-58.8635 - 190.831i) q^{26} +(-741.438 - 169.228i) q^{27} +(-269.925 - 105.938i) q^{28} +(226.023 - 16.9381i) q^{29} +(263.686 + 284.186i) q^{30} +(-1073.50 + 731.903i) q^{31} +(700.380 + 558.534i) q^{32} +(688.421 - 741.941i) q^{33} +(40.5278 - 268.884i) q^{34} +(-150.695 - 660.238i) q^{35} +(-56.5925 - 98.0211i) q^{36} +(802.059 + 463.069i) q^{37} +(-832.737 - 256.865i) q^{38} +(967.878 - 771.857i) q^{39} +(-102.085 + 1362.23i) q^{40} +(1125.50 + 542.010i) q^{41} +242.071i q^{42} +(-1398.43 - 1209.63i) q^{43} +1670.72 q^{44} +(114.693 - 238.163i) q^{45} +(16.6484 + 1.24763i) q^{46} +(1278.89 + 1603.68i) q^{47} +(-424.159 + 1375.09i) q^{48} +(-989.067 + 1713.11i) q^{49} +(-548.441 + 316.643i) q^{50} +(1643.38 - 375.092i) q^{51} +(2020.68 + 304.569i) q^{52} +(-1546.63 - 1435.06i) q^{53} +(-653.418 + 819.360i) q^{54} +(2198.03 + 3223.92i) q^{55} +(-625.283 + 580.178i) q^{56} +(-403.703 - 5387.05i) q^{57} +(114.111 - 290.750i) q^{58} +(654.358 - 2866.93i) q^{59} +(-3790.73 + 1169.29i) q^{60} +(1616.88 - 2371.53i) q^{61} +(266.850 + 1770.43i) q^{62} +(153.649 - 60.3029i) q^{63} +(-1316.15 + 633.826i) q^{64} +(2070.74 + 4299.93i) q^{65} +(-509.556 - 1298.33i) q^{66} +(-3628.66 + 546.932i) q^{67} +(2299.01 + 1567.44i) q^{68} +(30.5052 + 98.8954i) q^{69} +(-909.829 - 207.662i) q^{70} +(-649.113 - 254.758i) q^{71} +(-332.019 + 24.8814i) q^{72} +(-5063.72 - 5457.39i) q^{73} +(1054.49 - 718.936i) q^{74} +(-3069.27 - 2447.66i) q^{75} +(6065.33 - 6536.88i) q^{76} +(-363.131 + 2409.22i) q^{77} +(-379.610 - 1663.18i) q^{78} +(-4521.88 - 7832.12i) q^{79} +(-4804.43 - 2773.84i) q^{80} +(-5586.67 - 1723.26i) q^{81} +(1345.88 - 1073.30i) q^{82} +(-896.418 + 11961.9i) q^{83} +(-2231.74 - 1074.75i) q^{84} +6498.47i q^{85} +(-2337.96 + 1012.99i) q^{86} +1936.20 q^{87} +(2132.39 - 4427.95i) q^{88} +(12380.6 + 927.795i) q^{89} +(-227.119 - 284.798i) q^{90} +(-878.392 + 2847.68i) q^{91} +(-85.4184 + 147.949i) q^{92} +(-9611.94 + 5549.45i) q^{93} +(2755.72 - 628.976i) q^{94} +(20593.6 + 3103.99i) q^{95} +(5609.67 + 5205.01i) q^{96} +(-7755.80 + 9725.47i) q^{97} +(1535.57 + 2252.27i) q^{98} +(-697.149 + 646.859i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.597906 1.24156i 0.149476 0.310391i −0.812763 0.582594i \(-0.802038\pi\)
0.962240 + 0.272203i \(0.0877522\pi\)
\(3\) 8.51855 + 0.638377i 0.946506 + 0.0709308i 0.539031 0.842286i \(-0.318790\pi\)
0.407475 + 0.913217i \(0.366409\pi\)
\(4\) 8.79185 + 11.0246i 0.549490 + 0.689039i
\(5\) −9.70706 + 31.4695i −0.388282 + 1.25878i 0.524877 + 0.851178i \(0.324111\pi\)
−0.913159 + 0.407603i \(0.866365\pi\)
\(6\) 5.88588 10.1946i 0.163497 0.283184i
\(7\) −17.8087 + 10.2819i −0.363443 + 0.209834i −0.670590 0.741828i \(-0.733959\pi\)
0.307147 + 0.951662i \(0.400626\pi\)
\(8\) 40.4402 9.23021i 0.631878 0.144222i
\(9\) −7.93707 1.19632i −0.0979885 0.0147694i
\(10\) 33.2675 + 30.8677i 0.332675 + 0.308677i
\(11\) 73.8724 92.6330i 0.610515 0.765562i −0.376460 0.926433i \(-0.622859\pi\)
0.986975 + 0.160871i \(0.0514302\pi\)
\(12\) 67.8560 + 99.5264i 0.471222 + 0.691156i
\(13\) 106.233 98.5700i 0.628599 0.583254i −0.300183 0.953882i \(-0.597048\pi\)
0.928782 + 0.370627i \(0.120857\pi\)
\(14\) 2.11766 + 28.2582i 0.0108044 + 0.144175i
\(15\) −102.780 + 261.878i −0.456798 + 1.16390i
\(16\) −37.4849 + 164.232i −0.146425 + 0.641531i
\(17\) 188.559 58.1629i 0.652455 0.201256i 0.0491811 0.998790i \(-0.484339\pi\)
0.603274 + 0.797534i \(0.293863\pi\)
\(18\) −6.23092 + 9.13909i −0.0192312 + 0.0282071i
\(19\) −94.2528 625.326i −0.261088 1.73221i −0.607673 0.794187i \(-0.707897\pi\)
0.346585 0.938019i \(-0.387341\pi\)
\(20\) −432.283 + 169.658i −1.08071 + 0.424146i
\(21\) −158.268 + 76.2179i −0.358884 + 0.172830i
\(22\) −70.8411 147.103i −0.146366 0.303932i
\(23\) 4.42618 + 11.2777i 0.00836707 + 0.0213189i 0.934996 0.354658i \(-0.115403\pi\)
−0.926629 + 0.375977i \(0.877307\pi\)
\(24\) 350.384 52.8119i 0.608306 0.0916874i
\(25\) −379.705 258.878i −0.607527 0.414205i
\(26\) −58.8635 190.831i −0.0870762 0.282294i
\(27\) −741.438 169.228i −1.01706 0.232138i
\(28\) −269.925 105.938i −0.344292 0.135125i
\(29\) 226.023 16.9381i 0.268755 0.0201404i 0.0603291 0.998179i \(-0.480785\pi\)
0.208426 + 0.978038i \(0.433166\pi\)
\(30\) 263.686 + 284.186i 0.292984 + 0.315762i
\(31\) −1073.50 + 731.903i −1.11707 + 0.761606i −0.973648 0.228056i \(-0.926763\pi\)
−0.143422 + 0.989662i \(0.545811\pi\)
\(32\) 700.380 + 558.534i 0.683965 + 0.545444i
\(33\) 688.421 741.941i 0.632158 0.681305i
\(34\) 40.5278 268.884i 0.0350587 0.232599i
\(35\) −150.695 660.238i −0.123016 0.538970i
\(36\) −56.5925 98.0211i −0.0436670 0.0756335i
\(37\) 802.059 + 463.069i 0.585872 + 0.338254i 0.763464 0.645851i \(-0.223497\pi\)
−0.177591 + 0.984104i \(0.556831\pi\)
\(38\) −832.737 256.865i −0.576688 0.177885i
\(39\) 967.878 771.857i 0.636343 0.507467i
\(40\) −102.085 + 1362.23i −0.0638032 + 0.851395i
\(41\) 1125.50 + 542.010i 0.669539 + 0.322433i 0.737590 0.675249i \(-0.235964\pi\)
−0.0680507 + 0.997682i \(0.521678\pi\)
\(42\) 242.071i 0.137228i
\(43\) −1398.43 1209.63i −0.756315 0.654208i
\(44\) 1670.72 0.862975
\(45\) 114.693 238.163i 0.0566386 0.117611i
\(46\) 16.6484 + 1.24763i 0.00786789 + 0.000589616i
\(47\) 1278.89 + 1603.68i 0.578945 + 0.725974i 0.981933 0.189231i \(-0.0605996\pi\)
−0.402987 + 0.915206i \(0.632028\pi\)
\(48\) −424.159 + 1375.09i −0.184097 + 0.596827i
\(49\) −989.067 + 1713.11i −0.411940 + 0.713500i
\(50\) −548.441 + 316.643i −0.219376 + 0.126657i
\(51\) 1643.38 375.092i 0.631828 0.144211i
\(52\) 2020.68 + 304.569i 0.747294 + 0.112636i
\(53\) −1546.63 1435.06i −0.550597 0.510880i 0.355086 0.934833i \(-0.384451\pi\)
−0.905684 + 0.423954i \(0.860642\pi\)
\(54\) −653.418 + 819.360i −0.224080 + 0.280988i
\(55\) 2198.03 + 3223.92i 0.726623 + 1.06576i
\(56\) −625.283 + 580.178i −0.199389 + 0.185006i
\(57\) −403.703 5387.05i −0.124255 1.65806i
\(58\) 114.111 290.750i 0.0339212 0.0864297i
\(59\) 654.358 2866.93i 0.187980 0.823594i −0.789700 0.613493i \(-0.789764\pi\)
0.977680 0.210101i \(-0.0673791\pi\)
\(60\) −3790.73 + 1169.29i −1.05298 + 0.324801i
\(61\) 1616.88 2371.53i 0.434529 0.637338i −0.545048 0.838405i \(-0.683489\pi\)
0.979577 + 0.201067i \(0.0644410\pi\)
\(62\) 266.850 + 1770.43i 0.0694198 + 0.460571i
\(63\) 153.649 60.3029i 0.0387123 0.0151935i
\(64\) −1316.15 + 633.826i −0.321326 + 0.154743i
\(65\) 2070.74 + 4299.93i 0.490116 + 1.01774i
\(66\) −509.556 1298.33i −0.116978 0.298055i
\(67\) −3628.66 + 546.932i −0.808344 + 0.121838i −0.540196 0.841539i \(-0.681650\pi\)
−0.268148 + 0.963378i \(0.586412\pi\)
\(68\) 2299.01 + 1567.44i 0.497191 + 0.338979i
\(69\) 30.5052 + 98.8954i 0.00640731 + 0.0207720i
\(70\) −909.829 207.662i −0.185679 0.0423801i
\(71\) −649.113 254.758i −0.128767 0.0505372i 0.300083 0.953913i \(-0.402986\pi\)
−0.428849 + 0.903376i \(0.641081\pi\)
\(72\) −332.019 + 24.8814i −0.0640468 + 0.00479964i
\(73\) −5063.72 5457.39i −0.950219 1.02409i −0.999679 0.0253162i \(-0.991941\pi\)
0.0494607 0.998776i \(-0.484250\pi\)
\(74\) 1054.49 718.936i 0.192565 0.131289i
\(75\) −3069.27 2447.66i −0.545648 0.435140i
\(76\) 6065.33 6536.88i 1.05009 1.13173i
\(77\) −363.131 + 2409.22i −0.0612466 + 0.406345i
\(78\) −379.610 1663.18i −0.0623948 0.273369i
\(79\) −4521.88 7832.12i −0.724544 1.25495i −0.959161 0.282859i \(-0.908717\pi\)
0.234617 0.972088i \(-0.424616\pi\)
\(80\) −4804.43 2773.84i −0.750693 0.433413i
\(81\) −5586.67 1723.26i −0.851496 0.262652i
\(82\) 1345.88 1073.30i 0.200161 0.159623i
\(83\) −896.418 + 11961.9i −0.130123 + 1.73637i 0.425519 + 0.904950i \(0.360092\pi\)
−0.555642 + 0.831422i \(0.687527\pi\)
\(84\) −2231.74 1074.75i −0.316290 0.152317i
\(85\) 6498.47i 0.899442i
\(86\) −2337.96 + 1012.99i −0.316111 + 0.136965i
\(87\) 1936.20 0.255807
\(88\) 2132.39 4427.95i 0.275360 0.571791i
\(89\) 12380.6 + 927.795i 1.56300 + 0.117131i 0.827921 0.560845i \(-0.189524\pi\)
0.735084 + 0.677976i \(0.237143\pi\)
\(90\) −227.119 284.798i −0.0280394 0.0351602i
\(91\) −878.392 + 2847.68i −0.106073 + 0.343881i
\(92\) −85.4184 + 147.949i −0.0100920 + 0.0174798i
\(93\) −9611.94 + 5549.45i −1.11134 + 0.641630i
\(94\) 2755.72 628.976i 0.311874 0.0711833i
\(95\) 20593.6 + 3103.99i 2.28184 + 0.343933i
\(96\) 5609.67 + 5205.01i 0.608688 + 0.564780i
\(97\) −7755.80 + 9725.47i −0.824296 + 1.03363i 0.174504 + 0.984657i \(0.444168\pi\)
−0.998800 + 0.0489781i \(0.984404\pi\)
\(98\) 1535.57 + 2252.27i 0.159889 + 0.234514i
\(99\) −697.149 + 646.859i −0.0711304 + 0.0659993i
\(100\) −484.269 6462.12i −0.0484269 0.646212i
\(101\) −5228.46 + 13321.9i −0.512544 + 1.30594i 0.407170 + 0.913353i \(0.366516\pi\)
−0.919714 + 0.392589i \(0.871579\pi\)
\(102\) 516.888 2264.63i 0.0496817 0.217670i
\(103\) 10074.5 3107.58i 0.949620 0.292919i 0.219017 0.975721i \(-0.429715\pi\)
0.730603 + 0.682802i \(0.239239\pi\)
\(104\) 3386.27 4966.74i 0.313080 0.459203i
\(105\) −862.222 5720.47i −0.0782061 0.518864i
\(106\) −2706.46 + 1062.21i −0.240874 + 0.0945360i
\(107\) 16168.0 7786.09i 1.41217 0.680067i 0.436584 0.899664i \(-0.356188\pi\)
0.975591 + 0.219596i \(0.0704741\pi\)
\(108\) −4652.93 9661.91i −0.398914 0.828353i
\(109\) 2770.42 + 7058.92i 0.233181 + 0.594135i 0.998790 0.0491703i \(-0.0156577\pi\)
−0.765609 + 0.643306i \(0.777562\pi\)
\(110\) 5316.92 801.397i 0.439415 0.0662312i
\(111\) 6536.77 + 4456.69i 0.530539 + 0.361715i
\(112\) −1021.05 3310.17i −0.0813977 0.263885i
\(113\) −11794.6 2692.04i −0.923689 0.210826i −0.265876 0.964007i \(-0.585661\pi\)
−0.657813 + 0.753181i \(0.728518\pi\)
\(114\) −6929.74 2719.72i −0.533221 0.209274i
\(115\) −397.870 + 29.8162i −0.0300847 + 0.00225453i
\(116\) 2173.90 + 2342.90i 0.161556 + 0.174116i
\(117\) −961.101 + 655.268i −0.0702097 + 0.0478682i
\(118\) −3168.23 2526.58i −0.227538 0.181455i
\(119\) −2759.98 + 2974.55i −0.194900 + 0.210052i
\(120\) −1739.24 + 11539.1i −0.120780 + 0.801324i
\(121\) 134.180 + 587.880i 0.00916465 + 0.0401530i
\(122\) −1977.67 3425.42i −0.132872 0.230141i
\(123\) 9241.59 + 5335.63i 0.610853 + 0.352676i
\(124\) −17507.0 5400.21i −1.13860 0.351210i
\(125\) −4259.77 + 3397.05i −0.272625 + 0.217411i
\(126\) 16.9979 226.821i 0.00107066 0.0142870i
\(127\) −12872.4 6199.01i −0.798089 0.384339i −0.0100380 0.999950i \(-0.503195\pi\)
−0.788051 + 0.615610i \(0.788910\pi\)
\(128\) 16346.2i 0.997691i
\(129\) −11140.4 11197.0i −0.669453 0.672857i
\(130\) 6576.75 0.389157
\(131\) 3100.23 6437.70i 0.180656 0.375135i −0.790900 0.611945i \(-0.790387\pi\)
0.971556 + 0.236809i \(0.0761017\pi\)
\(132\) 14232.1 + 1066.55i 0.816811 + 0.0612115i
\(133\) 8108.04 + 10167.2i 0.458366 + 0.574773i
\(134\) −1490.54 + 4832.22i −0.0830109 + 0.269115i
\(135\) 12522.7 21690.0i 0.687118 1.19012i
\(136\) 7088.52 4092.56i 0.383246 0.221267i
\(137\) −8024.78 + 1831.60i −0.427555 + 0.0975867i −0.430883 0.902408i \(-0.641798\pi\)
0.00332785 + 0.999994i \(0.498941\pi\)
\(138\) 141.024 + 21.2560i 0.00740518 + 0.00111615i
\(139\) −16177.6 15010.6i −0.837305 0.776906i 0.139684 0.990196i \(-0.455391\pi\)
−0.976989 + 0.213291i \(0.931582\pi\)
\(140\) 5953.99 7466.07i 0.303775 0.380922i
\(141\) 9870.54 + 14477.4i 0.496481 + 0.728204i
\(142\) −704.407 + 653.594i −0.0349339 + 0.0324139i
\(143\) −1283.14 17122.3i −0.0627482 0.837317i
\(144\) 493.994 1258.68i 0.0238230 0.0607000i
\(145\) −1660.99 + 7277.26i −0.0790006 + 0.346124i
\(146\) −9803.32 + 3023.92i −0.459904 + 0.141862i
\(147\) −9519.03 + 13961.9i −0.440512 + 0.646113i
\(148\) 1946.42 + 12913.6i 0.0888613 + 0.589556i
\(149\) −15170.4 + 5953.96i −0.683323 + 0.268184i −0.681504 0.731814i \(-0.738674\pi\)
−0.00181826 + 0.999998i \(0.500579\pi\)
\(150\) −4874.06 + 2347.23i −0.216625 + 0.104321i
\(151\) −2150.86 4466.31i −0.0943319 0.195882i 0.848464 0.529254i \(-0.177528\pi\)
−0.942796 + 0.333371i \(0.891814\pi\)
\(152\) −9583.49 24418.3i −0.414798 1.05689i
\(153\) −1566.19 + 236.065i −0.0669055 + 0.0100844i
\(154\) 2774.08 + 1891.34i 0.116971 + 0.0797494i
\(155\) −12612.1 40887.3i −0.524956 1.70186i
\(156\) 17018.9 + 3884.45i 0.699329 + 0.159617i
\(157\) −4172.54 1637.60i −0.169278 0.0664369i 0.279189 0.960236i \(-0.409935\pi\)
−0.448467 + 0.893799i \(0.648030\pi\)
\(158\) −12427.7 + 931.330i −0.497826 + 0.0373069i
\(159\) −12258.9 13212.0i −0.484907 0.522605i
\(160\) −24375.4 + 16618.9i −0.952166 + 0.649176i
\(161\) −194.780 155.332i −0.00751438 0.00599252i
\(162\) −5479.84 + 5905.86i −0.208803 + 0.225037i
\(163\) 1248.81 8285.29i 0.0470024 0.311841i −0.952959 0.303098i \(-0.901979\pi\)
0.999962 0.00874250i \(-0.00278286\pi\)
\(164\) 3919.73 + 17173.4i 0.145736 + 0.638513i
\(165\) 16666.0 + 28866.3i 0.612157 + 1.06029i
\(166\) 14315.4 + 8265.02i 0.519504 + 0.299936i
\(167\) 8204.68 + 2530.81i 0.294190 + 0.0907457i 0.438337 0.898811i \(-0.355568\pi\)
−0.144147 + 0.989556i \(0.546044\pi\)
\(168\) −5696.88 + 4543.11i −0.201845 + 0.160966i
\(169\) −564.920 + 7538.33i −0.0197794 + 0.263938i
\(170\) 8068.26 + 3885.47i 0.279179 + 0.134445i
\(171\) 5076.01i 0.173592i
\(172\) 1040.97 26052.0i 0.0351868 0.880612i
\(173\) 3717.04 0.124195 0.0620976 0.998070i \(-0.480221\pi\)
0.0620976 + 0.998070i \(0.480221\pi\)
\(174\) 1157.67 2403.92i 0.0382371 0.0794002i
\(175\) 9423.79 + 706.216i 0.307716 + 0.0230601i
\(176\) 12444.2 + 15604.5i 0.401737 + 0.503762i
\(177\) 7404.37 24004.4i 0.236342 0.766203i
\(178\) 8554.32 14816.5i 0.269989 0.467634i
\(179\) 24555.6 14177.2i 0.766381 0.442470i −0.0652013 0.997872i \(-0.520769\pi\)
0.831582 + 0.555402i \(0.187436\pi\)
\(180\) 3634.02 829.442i 0.112161 0.0256001i
\(181\) 56507.2 + 8517.09i 1.72483 + 0.259977i 0.935331 0.353773i \(-0.115102\pi\)
0.789500 + 0.613750i \(0.210340\pi\)
\(182\) 3010.38 + 2793.22i 0.0908821 + 0.0843262i
\(183\) 15287.4 19169.9i 0.456492 0.572422i
\(184\) 283.091 + 415.218i 0.00836162 + 0.0122643i
\(185\) −22358.2 + 20745.4i −0.653271 + 0.606147i
\(186\) 1142.97 + 15251.9i 0.0330377 + 0.440857i
\(187\) 8541.53 21763.5i 0.244260 0.622364i
\(188\) −6436.14 + 28198.6i −0.182100 + 0.797832i
\(189\) 14944.0 4609.62i 0.418354 0.129045i
\(190\) 16166.9 23712.4i 0.447835 0.656854i
\(191\) 9615.59 + 63795.3i 0.263578 + 1.74873i 0.593606 + 0.804756i \(0.297704\pi\)
−0.330028 + 0.943971i \(0.607058\pi\)
\(192\) −11616.3 + 4559.08i −0.315113 + 0.123673i
\(193\) 515.140 248.078i 0.0138296 0.00666000i −0.426956 0.904272i \(-0.640414\pi\)
0.440786 + 0.897612i \(0.354700\pi\)
\(194\) 7437.55 + 15444.2i 0.197618 + 0.410358i
\(195\) 14894.7 + 37951.1i 0.391709 + 0.998057i
\(196\) −27582.2 + 4157.34i −0.717987 + 0.108219i
\(197\) −61828.1 42153.7i −1.59314 1.08618i −0.946173 0.323662i \(-0.895086\pi\)
−0.646964 0.762520i \(-0.723962\pi\)
\(198\) 386.288 + 1252.32i 0.00985328 + 0.0319436i
\(199\) 51038.4 + 11649.2i 1.28882 + 0.294164i 0.811388 0.584508i \(-0.198712\pi\)
0.477427 + 0.878671i \(0.341569\pi\)
\(200\) −17744.8 6964.33i −0.443620 0.174108i
\(201\) −31260.1 + 2342.62i −0.773745 + 0.0579842i
\(202\) 13413.9 + 14456.7i 0.328739 + 0.354297i
\(203\) −3851.02 + 2625.58i −0.0934510 + 0.0637138i
\(204\) 18583.6 + 14819.9i 0.446550 + 0.356112i
\(205\) −27982.1 + 30157.5i −0.665843 + 0.717608i
\(206\) 2165.36 14366.2i 0.0510264 0.338538i
\(207\) −21.6391 94.8071i −0.000505008 0.00221259i
\(208\) 12206.2 + 21141.8i 0.282133 + 0.488669i
\(209\) −64888.5 37463.4i −1.48551 0.857659i
\(210\) −7617.86 2349.80i −0.172741 0.0532834i
\(211\) −21743.9 + 17340.2i −0.488397 + 0.389483i −0.836495 0.547975i \(-0.815399\pi\)
0.348098 + 0.937458i \(0.386828\pi\)
\(212\) 2223.30 29667.8i 0.0494682 0.660107i
\(213\) −5366.87 2584.55i −0.118294 0.0569673i
\(214\) 24728.9i 0.539980i
\(215\) 51641.1 32265.9i 1.11717 0.698018i
\(216\) −31545.9 −0.676138
\(217\) 11592.4 24071.9i 0.246181 0.511199i
\(218\) 10420.6 + 780.912i 0.219269 + 0.0164320i
\(219\) −39651.7 49721.6i −0.826748 1.03671i
\(220\) −16217.8 + 52576.7i −0.335078 + 1.08630i
\(221\) 14298.2 24765.1i 0.292749 0.507056i
\(222\) 9441.64 5451.14i 0.191576 0.110607i
\(223\) 2291.72 523.070i 0.0460842 0.0105184i −0.199417 0.979915i \(-0.563905\pi\)
0.245501 + 0.969396i \(0.421048\pi\)
\(224\) −18215.6 2745.56i −0.363035 0.0547187i
\(225\) 2704.04 + 2508.98i 0.0534131 + 0.0495601i
\(226\) −10394.4 + 13034.1i −0.203508 + 0.255191i
\(227\) −27750.4 40702.3i −0.538539 0.789891i 0.456464 0.889742i \(-0.349116\pi\)
−0.995002 + 0.0998510i \(0.968163\pi\)
\(228\) 55840.9 51812.8i 1.07419 0.996706i
\(229\) 3625.78 + 48382.6i 0.0691401 + 0.922610i 0.918659 + 0.395052i \(0.129273\pi\)
−0.849519 + 0.527559i \(0.823108\pi\)
\(230\) −200.870 + 511.808i −0.00379716 + 0.00967501i
\(231\) −4631.34 + 20291.2i −0.0867927 + 0.380264i
\(232\) 8984.07 2771.22i 0.166916 0.0514867i
\(233\) 13147.9 19284.4i 0.242183 0.355217i −0.685832 0.727760i \(-0.740562\pi\)
0.928015 + 0.372543i \(0.121514\pi\)
\(234\) 238.909 + 1585.06i 0.00436315 + 0.0289476i
\(235\) −62881.2 + 24679.1i −1.13864 + 0.446882i
\(236\) 37359.9 17991.6i 0.670782 0.323031i
\(237\) −33520.0 69605.0i −0.596771 1.23921i
\(238\) 2042.88 + 5205.18i 0.0360653 + 0.0918929i
\(239\) 44652.8 6730.33i 0.781723 0.117826i 0.253957 0.967216i \(-0.418268\pi\)
0.527766 + 0.849390i \(0.323030\pi\)
\(240\) −39156.1 26696.1i −0.679793 0.463475i
\(241\) 29531.2 + 95737.7i 0.508448 + 1.64835i 0.737811 + 0.675007i \(0.235860\pi\)
−0.229363 + 0.973341i \(0.573664\pi\)
\(242\) 810.117 + 184.904i 0.0138330 + 0.00315730i
\(243\) 10852.5 + 4259.27i 0.183787 + 0.0721312i
\(244\) 40360.7 3024.61i 0.677920 0.0508031i
\(245\) −44309.9 47754.8i −0.738192 0.795581i
\(246\) 12150.1 8283.82i 0.200775 0.136886i
\(247\) −71651.2 57139.9i −1.17444 0.936582i
\(248\) −36657.1 + 39507.0i −0.596012 + 0.642348i
\(249\) −15272.4 + 101326.i −0.246324 + 1.63426i
\(250\) 1670.72 + 7319.89i 0.0267315 + 0.117118i
\(251\) 16732.1 + 28980.9i 0.265585 + 0.460006i 0.967717 0.252041i \(-0.0811016\pi\)
−0.702132 + 0.712047i \(0.747768\pi\)
\(252\) 2015.68 + 1163.75i 0.0317409 + 0.0183256i
\(253\) 1371.66 + 423.102i 0.0214292 + 0.00661003i
\(254\) −15392.9 + 12275.4i −0.238591 + 0.190270i
\(255\) −4148.47 + 55357.5i −0.0637981 + 0.851327i
\(256\) −763.624 367.742i −0.0116520 0.00561129i
\(257\) 127522.i 1.93072i −0.260925 0.965359i \(-0.584028\pi\)
0.260925 0.965359i \(-0.415972\pi\)
\(258\) −20562.7 + 7136.72i −0.308916 + 0.107216i
\(259\) −19044.8 −0.283908
\(260\) −29199.5 + 60633.5i −0.431946 + 0.896945i
\(261\) −1814.22 135.957i −0.0266324 0.00199582i
\(262\) −6139.17 7698.27i −0.0894349 0.112148i
\(263\) 3310.37 10732.0i 0.0478592 0.155156i −0.928489 0.371360i \(-0.878892\pi\)
0.976348 + 0.216204i \(0.0693677\pi\)
\(264\) 20991.6 36358.5i 0.301188 0.521673i
\(265\) 60173.9 34741.4i 0.856873 0.494716i
\(266\) 17471.0 3987.64i 0.246919 0.0563577i
\(267\) 104872. + 15806.9i 1.47108 + 0.221730i
\(268\) −37932.3 35196.1i −0.528129 0.490032i
\(269\) 39260.2 49230.8i 0.542560 0.680349i −0.432667 0.901554i \(-0.642427\pi\)
0.975227 + 0.221205i \(0.0709988\pi\)
\(270\) −19442.1 28516.3i −0.266695 0.391170i
\(271\) 6183.05 5737.03i 0.0841907 0.0781176i −0.636955 0.770901i \(-0.719806\pi\)
0.721146 + 0.692783i \(0.243616\pi\)
\(272\) 2484.08 + 33147.7i 0.0335759 + 0.448039i
\(273\) −9300.52 + 23697.3i −0.124791 + 0.317961i
\(274\) −2524.01 + 11058.4i −0.0336194 + 0.147296i
\(275\) −52030.3 + 16049.2i −0.688004 + 0.212221i
\(276\) −822.088 + 1205.78i −0.0107920 + 0.0158289i
\(277\) 1962.76 + 13022.1i 0.0255805 + 0.169715i 0.997973 0.0636348i \(-0.0202693\pi\)
−0.972393 + 0.233350i \(0.925031\pi\)
\(278\) −28309.3 + 11110.6i −0.366302 + 0.143763i
\(279\) 9396.07 4524.91i 0.120708 0.0581301i
\(280\) −12188.3 25309.2i −0.155463 0.322821i
\(281\) 50258.1 + 128056.i 0.636493 + 1.62176i 0.775414 + 0.631454i \(0.217541\pi\)
−0.138921 + 0.990304i \(0.544363\pi\)
\(282\) 23876.3 3598.77i 0.300240 0.0452539i
\(283\) 103594. + 70629.2i 1.29349 + 0.881884i 0.997314 0.0732510i \(-0.0233374\pi\)
0.296172 + 0.955135i \(0.404290\pi\)
\(284\) −2898.29 9396.02i −0.0359340 0.116495i
\(285\) 173447. + 39588.0i 2.13538 + 0.487387i
\(286\) −22025.6 8644.42i −0.269275 0.105683i
\(287\) −25616.5 + 1919.69i −0.310997 + 0.0233060i
\(288\) −4890.78 5271.00i −0.0589648 0.0635489i
\(289\) −36836.6 + 25114.7i −0.441045 + 0.300700i
\(290\) 8042.07 + 6413.34i 0.0956251 + 0.0762584i
\(291\) −72276.7 + 77895.8i −0.853518 + 0.919873i
\(292\) 15646.3 103806.i 0.183504 1.21747i
\(293\) −26500.1 116105.i −0.308683 1.35243i −0.856637 0.515920i \(-0.827450\pi\)
0.547954 0.836509i \(-0.315407\pi\)
\(294\) 11643.1 + 20166.4i 0.134701 + 0.233310i
\(295\) 83869.0 + 48421.8i 0.963735 + 0.556413i
\(296\) 36709.6 + 11323.4i 0.418983 + 0.129239i
\(297\) −70447.9 + 56180.3i −0.798648 + 0.636900i
\(298\) −1678.27 + 22395.0i −0.0188986 + 0.252184i
\(299\) 1581.85 + 761.780i 0.0176939 + 0.00852093i
\(300\) 55357.0i 0.615078i
\(301\) 37341.4 + 7163.51i 0.412152 + 0.0790666i
\(302\) −6831.22 −0.0749005
\(303\) −53043.4 + 110146.i −0.577758 + 1.19973i
\(304\) 106232. + 7960.96i 1.14949 + 0.0861426i
\(305\) 58935.8 + 73903.2i 0.633548 + 0.794444i
\(306\) −643.344 + 2085.67i −0.00687069 + 0.0222742i
\(307\) −51619.0 + 89406.8i −0.547688 + 0.948623i 0.450745 + 0.892653i \(0.351158\pi\)
−0.998432 + 0.0559701i \(0.982175\pi\)
\(308\) −29753.3 + 17178.1i −0.313642 + 0.181081i
\(309\) 87804.1 20040.7i 0.919598 0.209892i
\(310\) −58305.0 8788.07i −0.606712 0.0914471i
\(311\) −71227.9 66089.8i −0.736426 0.683304i 0.219927 0.975516i \(-0.429418\pi\)
−0.956353 + 0.292212i \(0.905609\pi\)
\(312\) 32016.8 40147.7i 0.328903 0.412432i
\(313\) −99657.1 146170.i −1.01723 1.49200i −0.863794 0.503846i \(-0.831918\pi\)
−0.153438 0.988158i \(-0.549034\pi\)
\(314\) −4527.97 + 4201.35i −0.0459245 + 0.0426117i
\(315\) 406.220 + 5420.63i 0.00409393 + 0.0546297i
\(316\) 46590.6 118711.i 0.466578 1.18882i
\(317\) −25421.0 + 111376.i −0.252973 + 1.10835i 0.675622 + 0.737248i \(0.263875\pi\)
−0.928594 + 0.371097i \(0.878982\pi\)
\(318\) −23733.2 + 7320.72i −0.234694 + 0.0723935i
\(319\) 15127.8 22188.5i 0.148660 0.218045i
\(320\) −7170.22 47571.3i −0.0700216 0.464563i
\(321\) 142698. 56005.0i 1.38487 0.543521i
\(322\) −309.315 + 148.958i −0.00298325 + 0.00143666i
\(323\) −54143.0 112429.i −0.518964 1.07764i
\(324\) −30118.8 76741.6i −0.286912 0.731039i
\(325\) −65854.8 + 9926.02i −0.623478 + 0.0939742i
\(326\) −9540.05 6504.29i −0.0897667 0.0612019i
\(327\) 19093.7 + 61900.4i 0.178565 + 0.578892i
\(328\) 50518.1 + 11530.4i 0.469569 + 0.107176i
\(329\) −39264.1 15410.0i −0.362747 0.142368i
\(330\) 45804.1 3432.54i 0.420607 0.0315201i
\(331\) −36574.0 39417.4i −0.333823 0.359776i 0.543726 0.839263i \(-0.317013\pi\)
−0.877549 + 0.479487i \(0.840823\pi\)
\(332\) −139756. + 95284.2i −1.26793 + 0.864460i
\(333\) −5812.02 4634.93i −0.0524129 0.0417979i
\(334\) 8047.78 8673.45i 0.0721412 0.0777497i
\(335\) 18011.9 119501.i 0.160498 1.06484i
\(336\) −6584.75 28849.7i −0.0583258 0.255542i
\(337\) 6774.39 + 11733.6i 0.0596500 + 0.103317i 0.894308 0.447451i \(-0.147668\pi\)
−0.834658 + 0.550768i \(0.814335\pi\)
\(338\) 9021.55 + 5208.59i 0.0789673 + 0.0455918i
\(339\) −98754.2 30461.6i −0.859323 0.265066i
\(340\) −71643.2 + 57133.5i −0.619751 + 0.494235i
\(341\) −11503.9 + 153509.i −0.0989322 + 1.32016i
\(342\) 6302.19 + 3034.98i 0.0538815 + 0.0259480i
\(343\) 90051.2i 0.765423i
\(344\) −67717.8 36009.9i −0.572250 0.304302i
\(345\) −3408.31 −0.0286352
\(346\) 2222.44 4614.94i 0.0185643 0.0385491i
\(347\) −72797.3 5455.40i −0.604584 0.0453073i −0.231078 0.972935i \(-0.574225\pi\)
−0.373506 + 0.927628i \(0.621844\pi\)
\(348\) 17022.8 + 21345.9i 0.140564 + 0.176261i
\(349\) 35862.9 116265.i 0.294438 0.954546i −0.680627 0.732630i \(-0.738293\pi\)
0.975066 0.221916i \(-0.0712311\pi\)
\(350\) 6511.35 11278.0i 0.0531539 0.0920652i
\(351\) −95446.2 + 55105.9i −0.774719 + 0.447284i
\(352\) 103477. 23618.1i 0.835142 0.190616i
\(353\) −14819.2 2233.63i −0.118926 0.0179251i 0.0893098 0.996004i \(-0.471534\pi\)
−0.208235 + 0.978079i \(0.566772\pi\)
\(354\) −25375.8 23545.3i −0.202495 0.187888i
\(355\) 14318.1 17954.3i 0.113613 0.142466i
\(356\) 98619.4 + 144648.i 0.778148 + 1.14133i
\(357\) −25409.9 + 23576.9i −0.199373 + 0.184991i
\(358\) −2919.95 38964.0i −0.0227829 0.304016i
\(359\) −65665.0 + 167312.i −0.509501 + 1.29819i 0.412485 + 0.910965i \(0.364661\pi\)
−0.921986 + 0.387224i \(0.873434\pi\)
\(360\) 2439.92 10690.0i 0.0188266 0.0824845i
\(361\) −257618. + 79464.7i −1.97680 + 0.609761i
\(362\) 44360.5 65064.9i 0.338516 0.496512i
\(363\) 767.728 + 5093.54i 0.00582632 + 0.0386551i
\(364\) −39117.3 + 15352.4i −0.295234 + 0.115871i
\(365\) 220895. 106378.i 1.65806 0.798480i
\(366\) −14660.1 30442.1i −0.109440 0.227254i
\(367\) 22605.4 + 57597.6i 0.167834 + 0.427634i 0.989902 0.141756i \(-0.0452748\pi\)
−0.822068 + 0.569390i \(0.807180\pi\)
\(368\) −2018.08 + 304.176i −0.0149019 + 0.00224610i
\(369\) −8284.72 5648.42i −0.0608450 0.0414834i
\(370\) 12388.6 + 40162.9i 0.0904939 + 0.293374i
\(371\) 42298.5 + 9654.36i 0.307311 + 0.0701416i
\(372\) −145687. 57178.1i −1.05278 0.413184i
\(373\) 188595. 14133.3i 1.35554 0.101584i 0.622956 0.782257i \(-0.285932\pi\)
0.732588 + 0.680673i \(0.238312\pi\)
\(374\) −21913.7 23617.3i −0.156665 0.168845i
\(375\) −38455.6 + 26218.6i −0.273462 + 0.186443i
\(376\) 66520.8 + 53048.6i 0.470524 + 0.375230i
\(377\) 22341.6 24078.5i 0.157192 0.169413i
\(378\) 3211.98 21310.1i 0.0224796 0.149143i
\(379\) −59380.4 260162.i −0.413394 1.81120i −0.567771 0.823187i \(-0.692194\pi\)
0.154377 0.988012i \(-0.450663\pi\)
\(380\) 146836. + 254327.i 1.01687 + 1.76127i
\(381\) −105697. 61024.0i −0.728134 0.420388i
\(382\) 84955.1 + 26205.2i 0.582188 + 0.179581i
\(383\) 102861. 82029.1i 0.701219 0.559204i −0.206671 0.978410i \(-0.566263\pi\)
0.907891 + 0.419207i \(0.137692\pi\)
\(384\) −10435.0 + 139246.i −0.0707670 + 0.944321i
\(385\) −72292.0 34814.0i −0.487718 0.234873i
\(386\) 787.906i 0.00528810i
\(387\) 9652.30 + 11273.9i 0.0644479 + 0.0752751i
\(388\) −175408. −1.16516
\(389\) 61336.3 127366.i 0.405339 0.841694i −0.593969 0.804488i \(-0.702440\pi\)
0.999308 0.0372064i \(-0.0118459\pi\)
\(390\) 56024.4 + 4198.45i 0.368339 + 0.0276032i
\(391\) 1490.54 + 1869.08i 0.00974969 + 0.0122257i
\(392\) −24185.6 + 78407.9i −0.157393 + 0.510256i
\(393\) 30519.2 52860.8i 0.197600 0.342254i
\(394\) −89303.8 + 51559.6i −0.575278 + 0.332137i
\(395\) 290367. 66274.5i 1.86103 0.424768i
\(396\) −13260.6 1998.71i −0.0845616 0.0127456i
\(397\) 104351. + 96823.2i 0.662086 + 0.614326i 0.937908 0.346883i \(-0.112760\pi\)
−0.275823 + 0.961208i \(0.588950\pi\)
\(398\) 44979.3 56402.3i 0.283953 0.356066i
\(399\) 62578.3 + 91785.4i 0.393077 + 0.576538i
\(400\) 56749.2 52655.6i 0.354683 0.329097i
\(401\) 13965.9 + 186362.i 0.0868522 + 1.15896i 0.854979 + 0.518663i \(0.173570\pi\)
−0.768126 + 0.640298i \(0.778811\pi\)
\(402\) −15782.1 + 40212.0i −0.0976588 + 0.248831i
\(403\) −41898.1 + 183568.i −0.257979 + 1.13028i
\(404\) −192837. + 59482.3i −1.18148 + 0.364439i
\(405\) 108460. 159082.i 0.661242 0.969864i
\(406\) 957.281 + 6351.14i 0.00580747 + 0.0385301i
\(407\) 102145. 40089.1i 0.616638 0.242013i
\(408\) 62996.6 30337.5i 0.378440 0.182247i
\(409\) −2457.00 5102.01i −0.0146879 0.0304996i 0.893496 0.449071i \(-0.148245\pi\)
−0.908184 + 0.418572i \(0.862531\pi\)
\(410\) 20711.8 + 52772.8i 0.123211 + 0.313937i
\(411\) −69528.8 + 10479.8i −0.411605 + 0.0620395i
\(412\) 122834. + 83746.5i 0.723640 + 0.493369i
\(413\) 17824.1 + 57784.3i 0.104498 + 0.338774i
\(414\) −130.647 29.8194i −0.000762254 0.000173979i
\(415\) −367732. 144324.i −2.13519 0.837999i
\(416\) 129458. 9701.56i 0.748072 0.0560603i
\(417\) −128227. 138196.i −0.737408 0.794737i
\(418\) −85310.4 + 58163.7i −0.488258 + 0.332889i
\(419\) 46943.7 + 37436.3i 0.267392 + 0.213238i 0.748002 0.663696i \(-0.231013\pi\)
−0.480610 + 0.876935i \(0.659585\pi\)
\(420\) 55485.5 59799.2i 0.314544 0.338998i
\(421\) 6345.02 42096.5i 0.0357988 0.237510i −0.963775 0.266718i \(-0.914061\pi\)
0.999573 + 0.0292087i \(0.00929873\pi\)
\(422\) 8528.15 + 37364.3i 0.0478883 + 0.209813i
\(423\) −8232.12 14258.5i −0.0460078 0.0796878i
\(424\) −75791.8 43758.4i −0.421590 0.243405i
\(425\) −86654.0 26729.2i −0.479745 0.147982i
\(426\) −6417.77 + 5118.00i −0.0353643 + 0.0282021i
\(427\) −4410.83 + 58858.5i −0.0241916 + 0.322815i
\(428\) 227985. + 109792.i 1.24457 + 0.599353i
\(429\) 146676.i 0.796977i
\(430\) −9183.63 83407.6i −0.0496681 0.451096i
\(431\) −63305.5 −0.340790 −0.170395 0.985376i \(-0.554504\pi\)
−0.170395 + 0.985376i \(0.554504\pi\)
\(432\) 55585.4 115424.i 0.297847 0.618486i
\(433\) 122493. + 9179.58i 0.653334 + 0.0489606i 0.397274 0.917700i \(-0.369956\pi\)
0.256061 + 0.966661i \(0.417575\pi\)
\(434\) −22955.6 28785.4i −0.121873 0.152824i
\(435\) −18794.8 + 60931.4i −0.0993254 + 0.322005i
\(436\) −53464.9 + 92603.8i −0.281252 + 0.487142i
\(437\) 6635.08 3830.76i 0.0347443 0.0200596i
\(438\) −85440.5 + 19501.2i −0.445365 + 0.101652i
\(439\) 370910. + 55905.7i 1.92460 + 0.290086i 0.996593 0.0824817i \(-0.0262846\pi\)
0.928005 + 0.372568i \(0.121523\pi\)
\(440\) 118646. + 110088.i 0.612843 + 0.568635i
\(441\) 9899.72 12413.9i 0.0509033 0.0638307i
\(442\) −22198.5 32559.3i −0.113627 0.166660i
\(443\) 5067.42 4701.88i 0.0258214 0.0239587i −0.667157 0.744918i \(-0.732489\pi\)
0.692978 + 0.720959i \(0.256298\pi\)
\(444\) 8336.89 + 111248.i 0.0422900 + 0.564321i
\(445\) −149376. + 380604.i −0.754329 + 1.92200i
\(446\) 720.807 3158.06i 0.00362368 0.0158764i
\(447\) −133031. + 41034.7i −0.665792 + 0.205370i
\(448\) 16922.1 24820.1i 0.0843135 0.123665i
\(449\) −6387.21 42376.4i −0.0316824 0.210199i 0.967388 0.253298i \(-0.0815152\pi\)
−0.999071 + 0.0430984i \(0.986277\pi\)
\(450\) 4731.82 1857.10i 0.0233670 0.00917088i
\(451\) 133351. 64218.5i 0.655607 0.315724i
\(452\) −74017.4 153699.i −0.362291 0.752304i
\(453\) −15471.0 39419.6i −0.0753916 0.192095i
\(454\) −67126.6 + 10117.7i −0.325674 + 0.0490874i
\(455\) −81088.4 55285.2i −0.391684 0.267046i
\(456\) −66049.4 214127.i −0.317643 1.02977i
\(457\) 22370.5 + 5105.92i 0.107113 + 0.0244479i 0.275742 0.961232i \(-0.411077\pi\)
−0.168628 + 0.985680i \(0.553934\pi\)
\(458\) 62238.0 + 24426.6i 0.296705 + 0.116448i
\(459\) −149648. + 11214.6i −0.710306 + 0.0532301i
\(460\) −3826.72 4124.23i −0.0180847 0.0194907i
\(461\) 104665. 71359.2i 0.492491 0.335775i −0.291475 0.956579i \(-0.594146\pi\)
0.783966 + 0.620804i \(0.213194\pi\)
\(462\) 22423.8 + 17882.4i 0.105057 + 0.0837801i
\(463\) −201775. + 217462.i −0.941252 + 1.01443i 0.0586179 + 0.998280i \(0.481331\pi\)
−0.999870 + 0.0161477i \(0.994860\pi\)
\(464\) −5690.67 + 37755.1i −0.0264318 + 0.175364i
\(465\) −81335.0 356352.i −0.376159 1.64806i
\(466\) −16081.6 27854.1i −0.0740555 0.128268i
\(467\) 310257. + 179127.i 1.42262 + 0.821349i 0.996522 0.0833284i \(-0.0265550\pi\)
0.426097 + 0.904678i \(0.359888\pi\)
\(468\) −15673.9 4834.77i −0.0715626 0.0220742i
\(469\) 58998.2 47049.5i 0.268221 0.213899i
\(470\) −6956.41 + 92826.8i −0.0314912 + 0.420221i
\(471\) −34498.6 16613.7i −0.155511 0.0748899i
\(472\) 121979.i 0.547522i
\(473\) −215357. + 40182.2i −0.962579 + 0.179602i
\(474\) −106461. −0.473842
\(475\) −126095. + 261839.i −0.558870 + 1.16051i
\(476\) −57058.5 4275.95i −0.251830 0.0188720i
\(477\) 10558.9 + 13240.4i 0.0464068 + 0.0581923i
\(478\) 18342.0 59463.4i 0.0802771 0.260252i
\(479\) −42849.9 + 74218.1i −0.186758 + 0.323474i −0.944167 0.329466i \(-0.893131\pi\)
0.757410 + 0.652940i \(0.226465\pi\)
\(480\) −218253. + 126008.i −0.947277 + 0.546911i
\(481\) 130850. 29865.7i 0.565566 0.129087i
\(482\) 136521. + 20577.3i 0.587633 + 0.0885715i
\(483\) −1560.09 1447.55i −0.00668736 0.00620496i
\(484\) −5301.47 + 6647.83i −0.0226311 + 0.0283785i
\(485\) −230770. 338477.i −0.981060 1.43895i
\(486\) 11776.9 10927.4i 0.0498607 0.0462640i
\(487\) −24444.9 326195.i −0.103070 1.37537i −0.773689 0.633566i \(-0.781591\pi\)
0.670619 0.741802i \(-0.266028\pi\)
\(488\) 43497.3 110829.i 0.182651 0.465388i
\(489\) 15927.2 69781.5i 0.0666071 0.291825i
\(490\) −85783.8 + 26460.8i −0.357283 + 0.110207i
\(491\) 105239. 154357.i 0.436528 0.640268i −0.543435 0.839451i \(-0.682876\pi\)
0.979962 + 0.199183i \(0.0638288\pi\)
\(492\) 22427.3 + 148795.i 0.0926501 + 0.614693i
\(493\) 41633.6 16340.0i 0.171297 0.0672292i
\(494\) −113784. + 54795.2i −0.466257 + 0.224538i
\(495\) −13589.1 28218.0i −0.0554600 0.115164i
\(496\) −79961.7 203739.i −0.325026 0.828153i
\(497\) 14179.2 2137.18i 0.0574037 0.00865222i
\(498\) 116671. + 79544.7i 0.470439 + 0.320740i
\(499\) −85689.0 277797.i −0.344131 1.11565i −0.947922 0.318503i \(-0.896820\pi\)
0.603791 0.797143i \(-0.293656\pi\)
\(500\) −74902.4 17096.0i −0.299610 0.0683839i
\(501\) 68276.4 + 26796.5i 0.272016 + 0.106759i
\(502\) 45985.8 3446.16i 0.182481 0.0136750i
\(503\) −290557. 313146.i −1.14841 1.23769i −0.967138 0.254254i \(-0.918170\pi\)
−0.181268 0.983434i \(-0.558020\pi\)
\(504\) 5656.99 3856.87i 0.0222702 0.0151836i
\(505\) −368481. 293854.i −1.44488 1.15226i
\(506\) 1345.43 1450.03i 0.00525485 0.00566338i
\(507\) −9624.59 + 63855.0i −0.0374426 + 0.248416i
\(508\) −44830.2 196414.i −0.173717 0.761105i
\(509\) 207421. + 359264.i 0.800604 + 1.38669i 0.919219 + 0.393747i \(0.128821\pi\)
−0.118615 + 0.992940i \(0.537845\pi\)
\(510\) 66249.5 + 38249.2i 0.254708 + 0.147056i
\(511\) 146290. + 45124.6i 0.560239 + 0.172811i
\(512\) −205392. + 163795.i −0.783510 + 0.624828i
\(513\) −35940.4 + 479591.i −0.136568 + 1.82237i
\(514\) −158327. 76246.1i −0.599277 0.288597i
\(515\) 347206.i 1.30910i
\(516\) 25498.6 221261.i 0.0957671 0.831008i
\(517\) 243028. 0.909233
\(518\) −11387.0 + 23645.4i −0.0424376 + 0.0881225i
\(519\) 31663.8 + 2372.87i 0.117552 + 0.00880927i
\(520\) 123430. + 154777.i 0.456473 + 0.572399i
\(521\) −14427.7 + 46773.5i −0.0531523 + 0.172315i −0.978257 0.207397i \(-0.933501\pi\)
0.925105 + 0.379712i \(0.123977\pi\)
\(522\) −1253.53 + 2171.19i −0.00460040 + 0.00796812i
\(523\) 273549. 157934.i 1.00007 0.577392i 0.0918029 0.995777i \(-0.470737\pi\)
0.908270 + 0.418385i \(0.137404\pi\)
\(524\) 98230.0 22420.4i 0.357752 0.0816545i
\(525\) 79826.2 + 12031.9i 0.289619 + 0.0436530i
\(526\) −11345.1 10526.7i −0.0410051 0.0380472i
\(527\) −159850. + 200445.i −0.575560 + 0.721730i
\(528\) 96045.0 + 140872.i 0.344514 + 0.505309i
\(529\) 205030. 190240.i 0.732667 0.679816i
\(530\) −7155.37 95481.8i −0.0254730 0.339914i
\(531\) −8623.45 + 21972.2i −0.0305838 + 0.0779264i
\(532\) −40804.5 + 178776.i −0.144173 + 0.631664i
\(533\) 172991. 53360.6i 0.608932 0.187831i
\(534\) 82329.0 120754.i 0.288716 0.423468i
\(535\) 88080.9 + 584379.i 0.307733 + 2.04168i
\(536\) −141695. + 55611.3i −0.493203 + 0.193568i
\(537\) 218229. 105093.i 0.756769 0.364441i
\(538\) −37649.2 78179.4i −0.130074 0.270102i
\(539\) 85626.2 + 218172.i 0.294733 + 0.750968i
\(540\) 349222. 52636.7i 1.19761 0.180510i
\(541\) 99326.2 + 67719.4i 0.339367 + 0.231376i 0.720996 0.692939i \(-0.243685\pi\)
−0.381629 + 0.924315i \(0.624637\pi\)
\(542\) −3426.01 11106.9i −0.0116625 0.0378088i
\(543\) 475923. + 108626.i 1.61412 + 0.368413i
\(544\) 164549. + 64580.8i 0.556030 + 0.218226i
\(545\) −249034. + 18662.5i −0.838426 + 0.0628314i
\(546\) 23860.9 + 25716.0i 0.0800391 + 0.0862616i
\(547\) −275747. + 188001.i −0.921588 + 0.628328i −0.928373 0.371649i \(-0.878792\pi\)
0.00678570 + 0.999977i \(0.497840\pi\)
\(548\) −90745.4 72367.1i −0.302179 0.240979i
\(549\) −15670.4 + 16888.7i −0.0519920 + 0.0560340i
\(550\) −11183.1 + 74194.9i −0.0369689 + 0.245272i
\(551\) −31895.1 139742.i −0.105056 0.460281i
\(552\) 2146.46 + 3717.78i 0.00704441 + 0.0122013i
\(553\) 161058. + 92986.6i 0.526661 + 0.304068i
\(554\) 17341.3 + 5349.08i 0.0565018 + 0.0174285i
\(555\) −203703. + 162448.i −0.661319 + 0.527385i
\(556\) 23255.5 310323.i 0.0752273 1.00384i
\(557\) −41018.1 19753.3i −0.132210 0.0636692i 0.366609 0.930375i \(-0.380519\pi\)
−0.498819 + 0.866706i \(0.666233\pi\)
\(558\) 14371.3i 0.0461559i
\(559\) −267793. + 9340.05i −0.856988 + 0.0298900i
\(560\) 114081. 0.363778
\(561\) 86654.8 179940.i 0.275338 0.571746i
\(562\) 189039. + 14166.5i 0.598519 + 0.0448528i
\(563\) −128341. 160935.i −0.404902 0.507731i 0.537017 0.843571i \(-0.319551\pi\)
−0.941919 + 0.335841i \(0.890980\pi\)
\(564\) −72827.9 + 236102.i −0.228950 + 0.742236i
\(565\) 199208. 345038.i 0.624036 1.08086i
\(566\) 149630. 86388.9i 0.467074 0.269665i
\(567\) 117210. 26752.3i 0.364584 0.0832138i
\(568\) −28601.7 4311.01i −0.0886534 0.0133624i
\(569\) −201605. 187062.i −0.622697 0.577778i 0.304426 0.952536i \(-0.401535\pi\)
−0.927123 + 0.374758i \(0.877726\pi\)
\(570\) 152856. 191675.i 0.470470 0.589951i
\(571\) −34664.6 50843.6i −0.106320 0.155942i 0.769392 0.638777i \(-0.220559\pi\)
−0.875711 + 0.482835i \(0.839607\pi\)
\(572\) 177486. 164683.i 0.542465 0.503334i
\(573\) 41185.5 + 549582.i 0.125440 + 1.67388i
\(574\) −12932.8 + 32952.3i −0.0392527 + 0.100014i
\(575\) 1238.92 5428.04i 0.00374719 0.0164175i
\(576\) 11204.6 3456.18i 0.0337717 0.0104172i
\(577\) −241714. + 354529.i −0.726022 + 1.06488i 0.268796 + 0.963197i \(0.413374\pi\)
−0.994817 + 0.101681i \(0.967578\pi\)
\(578\) 9156.77 + 60751.2i 0.0274086 + 0.181844i
\(579\) 4546.61 1784.41i 0.0135622 0.00532278i
\(580\) −94832.2 + 45668.8i −0.281903 + 0.135757i
\(581\) −107026. 222242.i −0.317057 0.658376i
\(582\) 53497.9 + 136311.i 0.157940 + 0.402424i
\(583\) −247187. + 37257.5i −0.727258 + 0.109617i
\(584\) −255150. 173959.i −0.748119 0.510059i
\(585\) −11291.5 36606.1i −0.0329943 0.106965i
\(586\) −159996. 36518.0i −0.465923 0.106344i
\(587\) −243494. 95564.5i −0.706664 0.277345i −0.0153320 0.999882i \(-0.504881\pi\)
−0.691332 + 0.722537i \(0.742976\pi\)
\(588\) −237614. + 17806.7i −0.687255 + 0.0515026i
\(589\) 558859. + 602307.i 1.61091 + 1.73615i
\(590\) 110265. 75177.1i 0.316761 0.215964i
\(591\) −499776. 398558.i −1.43087 1.14108i
\(592\) −106116. + 114366.i −0.302787 + 0.326326i
\(593\) −47292.1 + 313763.i −0.134487 + 0.892261i 0.815227 + 0.579141i \(0.196612\pi\)
−0.949714 + 0.313119i \(0.898626\pi\)
\(594\) 27630.3 + 121056.i 0.0783091 + 0.343095i
\(595\) −66816.3 115729.i −0.188733 0.326896i
\(596\) −199016. 114902.i −0.560269 0.323471i
\(597\) 427337. + 131816.i 1.19901 + 0.369844i
\(598\) 1891.60 1508.50i 0.00528964 0.00421835i
\(599\) −21439.3 + 286088.i −0.0597526 + 0.797344i 0.884168 + 0.467170i \(0.154726\pi\)
−0.943920 + 0.330174i \(0.892893\pi\)
\(600\) −146714. 70653.9i −0.407540 0.196261i
\(601\) 426039.i 1.17951i −0.807584 0.589753i \(-0.799225\pi\)
0.807584 0.589753i \(-0.200775\pi\)
\(602\) 31220.6 42078.6i 0.0861486 0.116110i
\(603\) 29455.2 0.0810079
\(604\) 30329.4 62979.6i 0.0831361 0.172634i
\(605\) −19802.8 1484.01i −0.0541023 0.00405440i
\(606\) 105038. + 131713.i 0.286023 + 0.358662i
\(607\) −48124.3 + 156015.i −0.130613 + 0.423437i −0.997130 0.0757107i \(-0.975877\pi\)
0.866517 + 0.499148i \(0.166354\pi\)
\(608\) 283254. 490610.i 0.766246 1.32718i
\(609\) −34481.3 + 19907.8i −0.0929712 + 0.0536770i
\(610\) 126994. 28985.5i 0.341289 0.0778970i
\(611\) 293935. + 44303.6i 0.787352 + 0.118674i
\(612\) −16372.2 15191.2i −0.0437124 0.0405592i
\(613\) −182716. + 229119.i −0.486246 + 0.609733i −0.963065 0.269268i \(-0.913218\pi\)
0.476819 + 0.879001i \(0.341790\pi\)
\(614\) 80140.9 + 117545.i 0.212578 + 0.311794i
\(615\) −257619. + 239035.i −0.681125 + 0.631992i
\(616\) 7552.49 + 100781.i 0.0199035 + 0.265593i
\(617\) 48952.1 124728.i 0.128588 0.327637i −0.852052 0.523458i \(-0.824642\pi\)
0.980640 + 0.195820i \(0.0627370\pi\)
\(618\) 27616.8 120997.i 0.0723096 0.316809i
\(619\) 720691. 222304.i 1.88091 0.580184i 0.888232 0.459395i \(-0.151934\pi\)
0.992678 0.120789i \(-0.0385424\pi\)
\(620\) 339884. 498518.i 0.884193 1.29687i
\(621\) −1373.23 9110.76i −0.00356089 0.0236250i
\(622\) −124642. + 48918.5i −0.322170 + 0.126442i
\(623\) −230021. + 110772.i −0.592641 + 0.285401i
\(624\) 90482.8 + 187889.i 0.232379 + 0.482540i
\(625\) −170488. 434397.i −0.436450 1.11206i
\(626\) −241065. + 36334.7i −0.615157 + 0.0927199i
\(627\) −528841. 360558.i −1.34521 0.917148i
\(628\) −18630.4 60398.3i −0.0472392 0.153146i
\(629\) 178169. + 40666.0i 0.450331 + 0.102785i
\(630\) 6972.94 + 2736.68i 0.0175685 + 0.00689513i
\(631\) −101381. + 7597.45i −0.254623 + 0.0190814i −0.201430 0.979503i \(-0.564559\pi\)
−0.0531929 + 0.998584i \(0.516940\pi\)
\(632\) −255158. 274995.i −0.638814 0.688478i
\(633\) −196296. + 133833.i −0.489897 + 0.334006i
\(634\) 123082. + 98154.4i 0.306207 + 0.244192i
\(635\) 320033. 344913.i 0.793683 0.855387i
\(636\) 37878.6 251308.i 0.0936438 0.621286i
\(637\) 63789.9 + 279482.i 0.157207 + 0.688771i
\(638\) −18503.4 32048.8i −0.0454579 0.0787354i
\(639\) 4847.28 + 2798.58i 0.0118712 + 0.00685387i
\(640\) −514406. 158673.i −1.25587 0.387386i
\(641\) −262780. + 209560.i −0.639553 + 0.510027i −0.888730 0.458431i \(-0.848411\pi\)
0.249177 + 0.968458i \(0.419840\pi\)
\(642\) 15786.4 210655.i 0.0383012 0.511094i
\(643\) 116921. + 56306.2i 0.282794 + 0.136186i 0.569904 0.821711i \(-0.306980\pi\)
−0.287110 + 0.957898i \(0.592695\pi\)
\(644\) 3513.04i 0.00847054i
\(645\) 460505. 241892.i 1.10692 0.581436i
\(646\) −171960. −0.412063
\(647\) 162327. 337075.i 0.387777 0.805227i −0.612119 0.790766i \(-0.709682\pi\)
0.999895 0.0144610i \(-0.00460324\pi\)
\(648\) −241832. 18122.8i −0.575922 0.0431594i
\(649\) −217233. 272402.i −0.515748 0.646727i
\(650\) −27051.2 + 87697.8i −0.0640265 + 0.207569i
\(651\) 114117. 197657.i 0.269271 0.466391i
\(652\) 102322. 59075.4i 0.240698 0.138967i
\(653\) −529862. + 120938.i −1.24262 + 0.283619i −0.792788 0.609497i \(-0.791371\pi\)
−0.449827 + 0.893116i \(0.648514\pi\)
\(654\) 88269.5 + 13304.5i 0.206374 + 0.0311059i
\(655\) 172497. + 160054.i 0.402068 + 0.373064i
\(656\) −131204. + 164525.i −0.304888 + 0.382318i
\(657\) 33662.3 + 49373.5i 0.0779853 + 0.114383i
\(658\) −42608.8 + 39535.2i −0.0984119 + 0.0913129i
\(659\) 24644.8 + 328862.i 0.0567486 + 0.757257i 0.950901 + 0.309495i \(0.100160\pi\)
−0.894153 + 0.447762i \(0.852221\pi\)
\(660\) −171716. + 437525.i −0.394205 + 1.00442i
\(661\) −140327. + 614814.i −0.321173 + 1.40715i 0.514295 + 0.857613i \(0.328054\pi\)
−0.835468 + 0.549539i \(0.814804\pi\)
\(662\) −70807.0 + 21841.1i −0.161570 + 0.0498377i
\(663\) 137609. 201835.i 0.313055 0.459167i
\(664\) 74159.2 + 492014.i 0.168201 + 1.11594i
\(665\) −398661. + 156463.i −0.901488 + 0.353808i
\(666\) −9229.60 + 4444.74i −0.0208082 + 0.0100207i
\(667\) 1191.44 + 2474.05i 0.00267807 + 0.00556106i
\(668\) 44233.1 + 112704.i 0.0991275 + 0.252573i
\(669\) 19856.1 2992.82i 0.0443650 0.00668695i
\(670\) −137599. 93813.4i −0.306525 0.208985i
\(671\) −100239. 324968.i −0.222635 0.721764i
\(672\) −153418. 35016.7i −0.339733 0.0775419i
\(673\) −420636. 165087.i −0.928701 0.364488i −0.147710 0.989031i \(-0.547190\pi\)
−0.780991 + 0.624542i \(0.785286\pi\)
\(674\) 18618.4 1395.26i 0.0409849 0.00307139i
\(675\) 237718. + 256199.i 0.521740 + 0.562302i
\(676\) −88073.9 + 60047.8i −0.192732 + 0.131403i
\(677\) 215763. + 172065.i 0.470759 + 0.375418i 0.829942 0.557849i \(-0.188373\pi\)
−0.359183 + 0.933267i \(0.616945\pi\)
\(678\) −96865.8 + 104396.i −0.210723 + 0.227105i
\(679\) 38124.9 252942.i 0.0826930 0.548632i
\(680\) 59982.2 + 262799.i 0.129719 + 0.568337i
\(681\) −210409. 364440.i −0.453702 0.785835i
\(682\) 183713. + 106067.i 0.394977 + 0.228040i
\(683\) −85354.1 26328.2i −0.182971 0.0564391i 0.201916 0.979403i \(-0.435283\pi\)
−0.384887 + 0.922964i \(0.625760\pi\)
\(684\) −55961.2 + 44627.5i −0.119612 + 0.0953873i
\(685\) 20257.4 270316.i 0.0431719 0.576090i
\(686\) −111804. 53842.1i −0.237580 0.114413i
\(687\) 414465.i 0.878160i
\(688\) 251080. 184323.i 0.530438 0.389407i
\(689\) −305757. −0.644078
\(690\) −2037.85 + 4231.63i −0.00428029 + 0.00888812i
\(691\) 800927. + 60021.2i 1.67740 + 0.125704i 0.879126 0.476590i \(-0.158127\pi\)
0.798275 + 0.602294i \(0.205746\pi\)
\(692\) 32679.7 + 40979.0i 0.0682441 + 0.0855754i
\(693\) 5764.39 18687.7i 0.0120029 0.0389125i
\(694\) −50299.2 + 87120.7i −0.104434 + 0.180885i
\(695\) 629413. 363392.i 1.30306 0.752325i
\(696\) 78300.4 17871.6i 0.161639 0.0368930i
\(697\) 243748. + 36739.1i 0.501736 + 0.0756245i
\(698\) −122907. 114041.i −0.252271 0.234073i
\(699\) 124311. 155882.i 0.254423 0.319037i
\(700\) 75066.8 + 110103.i 0.153197 + 0.224699i
\(701\) 206215. 191339.i 0.419647 0.389375i −0.441891 0.897069i \(-0.645692\pi\)
0.861538 + 0.507694i \(0.169502\pi\)
\(702\) 11349.7 + 151451.i 0.0230308 + 0.307324i
\(703\) 213973. 545194.i 0.432961 1.10317i
\(704\) −38514.1 + 168741.i −0.0777096 + 0.340468i
\(705\) −551412. + 170088.i −1.10942 + 0.342212i
\(706\) −11633.7 + 17063.5i −0.0233404 + 0.0342340i
\(707\) −43861.8 291004.i −0.0877501 0.582184i
\(708\) 329737. 129412.i 0.657812 0.258172i
\(709\) −442395. + 213046.i −0.880071 + 0.423820i −0.818651 0.574292i \(-0.805277\pi\)
−0.0614208 + 0.998112i \(0.519563\pi\)
\(710\) −13730.6 28511.8i −0.0272378 0.0565598i
\(711\) 26520.7 + 67573.7i 0.0524622 + 0.133671i
\(712\) 509236. 76754.9i 1.00452 0.151407i
\(713\) −13005.7 8867.15i −0.0255832 0.0174423i
\(714\) 14079.5 + 45644.8i 0.0276180 + 0.0895354i
\(715\) 551286. + 125827.i 1.07836 + 0.246129i
\(716\) 372187. + 146073.i 0.725998 + 0.284933i
\(717\) 384674. 28827.3i 0.748263 0.0560746i
\(718\) 168467. + 181564.i 0.326787 + 0.352193i
\(719\) 708515. 483058.i 1.37054 0.934418i 0.370555 0.928811i \(-0.379168\pi\)
0.999984 0.00560707i \(-0.00178479\pi\)
\(720\) 34814.7 + 27763.8i 0.0671580 + 0.0535567i
\(721\) −147462. + 158927.i −0.283668 + 0.305722i
\(722\) −55370.9 + 367362.i −0.106220 + 0.704725i
\(723\) 190446. + 834399.i 0.364331 + 1.59624i
\(724\) 402905. + 697852.i 0.768644 + 1.33133i
\(725\) −90206.9 52081.0i −0.171618 0.0990839i
\(726\) 6782.99 + 2092.27i 0.0128691 + 0.00396959i
\(727\) −236132. + 188309.i −0.446772 + 0.356289i −0.820884 0.571095i \(-0.806519\pi\)
0.374112 + 0.927384i \(0.377948\pi\)
\(728\) −9237.69 + 123268.i −0.0174301 + 0.232589i
\(729\) 516390. + 248680.i 0.971679 + 0.467936i
\(730\) 337859.i 0.634001i
\(731\) −334042. 146751.i −0.625124 0.274628i
\(732\) 345745. 0.645259
\(733\) 53085.6 110233.i 0.0988027 0.205166i −0.845708 0.533645i \(-0.820822\pi\)
0.944511 + 0.328479i \(0.106536\pi\)
\(734\) 85026.9 + 6371.89i 0.157821 + 0.0118270i
\(735\) −346971. 435088.i −0.642271 0.805383i
\(736\) −3198.99 + 10370.9i −0.00590550 + 0.0191452i
\(737\) −217394. + 376537.i −0.400232 + 0.693222i
\(738\) −11966.4 + 6908.78i −0.0219710 + 0.0126849i
\(739\) −58888.0 + 13440.8i −0.107829 + 0.0246114i −0.276095 0.961130i \(-0.589040\pi\)
0.168266 + 0.985742i \(0.446183\pi\)
\(740\) −425280. 64100.6i −0.776625 0.117057i
\(741\) −573888. 532490.i −1.04518 0.969784i
\(742\) 37277.0 46743.9i 0.0677070 0.0849019i
\(743\) 194968. + 285966.i 0.353172 + 0.518009i 0.961180 0.275923i \(-0.0889834\pi\)
−0.608008 + 0.793931i \(0.708031\pi\)
\(744\) −337486. + 313141.i −0.609691 + 0.565710i
\(745\) −40107.9 535202.i −0.0722632 0.964285i
\(746\) 95214.9 242604.i 0.171091 0.435933i
\(747\) 21425.1 93869.7i 0.0383957 0.168223i
\(748\) 315030. 97173.8i 0.563052 0.173679i
\(749\) −207875. + 304897.i −0.370543 + 0.543487i
\(750\) 9559.24 + 63421.4i 0.0169942 + 0.112749i
\(751\) −474861. + 186369.i −0.841950 + 0.330441i −0.746822 0.665024i \(-0.768421\pi\)
−0.0951280 + 0.995465i \(0.530326\pi\)
\(752\) −311314. + 149921.i −0.550507 + 0.265110i
\(753\) 124033. + 257556.i 0.218749 + 0.454237i
\(754\) −16536.8 42135.1i −0.0290877 0.0741143i
\(755\) 161431. 24331.8i 0.283200 0.0426856i
\(756\) 182205. + 124225.i 0.318799 </