Properties

Label 177.2.e.b.121.3
Level $177$
Weight $2$
Character 177.121
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 121.3
Character \(\chi\) \(=\) 177.121
Dual form 177.2.e.b.79.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.308417 + 0.142689i) q^{2} +(0.947653 + 0.319302i) q^{3} +(-1.22001 + 1.43631i) q^{4} +(1.54543 + 0.929856i) q^{5} +(-0.337833 + 0.0367415i) q^{6} +(0.0319746 - 0.589736i) q^{7} +(0.353152 - 1.27194i) q^{8} +(0.796093 + 0.605174i) q^{9} +O(q^{10})\) \(q+(-0.308417 + 0.142689i) q^{2} +(0.947653 + 0.319302i) q^{3} +(-1.22001 + 1.43631i) q^{4} +(1.54543 + 0.929856i) q^{5} +(-0.337833 + 0.0367415i) q^{6} +(0.0319746 - 0.589736i) q^{7} +(0.353152 - 1.27194i) q^{8} +(0.796093 + 0.605174i) q^{9} +(-0.609317 - 0.0662672i) q^{10} +(-0.750396 + 4.57721i) q^{11} +(-1.61476 + 0.971571i) q^{12} +(-0.956554 + 0.727154i) q^{13} +(0.0742872 + 0.186447i) q^{14} +(1.16763 + 1.37464i) q^{15} +(-0.537189 - 3.27671i) q^{16} +(0.157238 + 2.90009i) q^{17} +(-0.331880 - 0.0730523i) q^{18} +(5.21903 - 4.94373i) q^{19} +(-3.22101 + 1.08528i) q^{20} +(0.218605 - 0.548656i) q^{21} +(-0.421682 - 1.51876i) q^{22} +(5.34329 - 1.17615i) q^{23} +(0.740798 - 1.09260i) q^{24} +(-0.818313 - 1.54350i) q^{25} +(0.191261 - 0.360756i) q^{26} +(0.561187 + 0.827689i) q^{27} +(0.808034 + 0.765411i) q^{28} +(-4.53025 - 2.09592i) q^{29} +(-0.556262 - 0.257354i) q^{30} +(-4.92581 - 4.66598i) q^{31} +(2.11482 + 3.11913i) q^{32} +(-2.17263 + 4.09801i) q^{33} +(-0.462305 - 0.871999i) q^{34} +(0.597784 - 0.881666i) q^{35} +(-1.84046 + 0.405116i) q^{36} +(-0.764811 - 2.75460i) q^{37} +(-0.904221 + 2.26942i) q^{38} +(-1.13866 + 0.383660i) q^{39} +(1.72849 - 1.63732i) q^{40} +(-2.79127 - 0.614404i) q^{41} +(0.0108657 + 0.200407i) q^{42} +(-0.804718 - 4.90856i) q^{43} +(-5.65880 - 6.66205i) q^{44} +(0.667583 + 1.67551i) q^{45} +(-1.48013 + 1.12517i) q^{46} +(5.30169 - 3.18992i) q^{47} +(0.537189 - 3.27671i) q^{48} +(6.61220 + 0.719120i) q^{49} +(0.472622 + 0.359278i) q^{50} +(-0.776996 + 2.79849i) q^{51} +(0.122590 - 2.26104i) q^{52} +(-0.142909 + 0.0155423i) q^{53} +(-0.291181 - 0.175198i) q^{54} +(-5.41583 + 6.37601i) q^{55} +(-0.738817 - 0.248936i) q^{56} +(6.52437 - 3.01850i) q^{57} +1.69627 q^{58} +(2.44099 - 7.28296i) q^{59} -3.39893 q^{60} +(-9.25799 + 4.28320i) q^{61} +(2.18498 + 0.736207i) q^{62} +(0.382348 - 0.450135i) q^{63} +(4.59299 + 2.76351i) q^{64} +(-2.15444 + 0.234309i) q^{65} +(0.0853345 - 1.57390i) q^{66} +(-1.40204 + 5.04970i) q^{67} +(-4.35726 - 3.31230i) q^{68} +(5.43913 + 0.591541i) q^{69} +(-0.0585628 + 0.357217i) q^{70} +(-0.0797021 + 0.0479551i) q^{71} +(1.05089 - 0.798864i) q^{72} +(-2.00693 - 5.03702i) q^{73} +(0.628930 + 0.740434i) q^{74} +(-0.282634 - 1.72399i) q^{75} +(0.733442 + 13.5275i) q^{76} +(2.67535 + 0.588890i) q^{77} +(0.296439 - 0.280801i) q^{78} +(7.76292 - 2.61563i) q^{79} +(2.21668 - 5.56344i) q^{80} +(0.267528 + 0.963550i) q^{81} +(0.948541 - 0.208790i) q^{82} +(-8.21977 + 12.1232i) q^{83} +(0.521339 + 0.983350i) q^{84} +(-2.45366 + 4.62810i) q^{85} +(0.948585 + 1.39906i) q^{86} +(-3.62387 - 3.43272i) q^{87} +(5.55693 + 2.57091i) q^{88} +(11.9629 + 5.53463i) q^{89} +(-0.444970 - 0.421498i) q^{90} +(0.398243 + 0.587365i) q^{91} +(-4.82956 + 9.10952i) q^{92} +(-3.17811 - 5.99455i) q^{93} +(-1.17996 + 1.74031i) q^{94} +(12.6626 - 2.78725i) q^{95} +(1.00818 + 3.63112i) q^{96} +(-6.18934 + 15.5341i) q^{97} +(-2.14192 + 0.721697i) q^{98} +(-3.36740 + 3.18977i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{25}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.308417 + 0.142689i −0.218083 + 0.100896i −0.525889 0.850553i \(-0.676267\pi\)
0.307806 + 0.951449i \(0.400405\pi\)
\(3\) 0.947653 + 0.319302i 0.547128 + 0.184349i
\(4\) −1.22001 + 1.43631i −0.610006 + 0.718155i
\(5\) 1.54543 + 0.929856i 0.691138 + 0.415844i 0.817336 0.576161i \(-0.195450\pi\)
−0.126198 + 0.992005i \(0.540277\pi\)
\(6\) −0.337833 + 0.0367415i −0.137920 + 0.0149997i
\(7\) 0.0319746 0.589736i 0.0120853 0.222899i −0.986252 0.165250i \(-0.947157\pi\)
0.998337 0.0576490i \(-0.0183604\pi\)
\(8\) 0.353152 1.27194i 0.124858 0.449699i
\(9\) 0.796093 + 0.605174i 0.265364 + 0.201725i
\(10\) −0.609317 0.0662672i −0.192683 0.0209555i
\(11\) −0.750396 + 4.57721i −0.226253 + 1.38008i 0.592331 + 0.805695i \(0.298208\pi\)
−0.818584 + 0.574387i \(0.805241\pi\)
\(12\) −1.61476 + 0.971571i −0.466142 + 0.280468i
\(13\) −0.956554 + 0.727154i −0.265300 + 0.201676i −0.729364 0.684126i \(-0.760184\pi\)
0.464064 + 0.885802i \(0.346391\pi\)
\(14\) 0.0742872 + 0.186447i 0.0198541 + 0.0498300i
\(15\) 1.16763 + 1.37464i 0.301481 + 0.354930i
\(16\) −0.537189 3.27671i −0.134297 0.819177i
\(17\) 0.157238 + 2.90009i 0.0381359 + 0.703375i 0.953619 + 0.301018i \(0.0973263\pi\)
−0.915483 + 0.402357i \(0.868191\pi\)
\(18\) −0.331880 0.0730523i −0.0782248 0.0172186i
\(19\) 5.21903 4.94373i 1.19733 1.13417i 0.209632 0.977780i \(-0.432773\pi\)
0.987696 0.156389i \(-0.0499852\pi\)
\(20\) −3.22101 + 1.08528i −0.720239 + 0.242677i
\(21\) 0.218605 0.548656i 0.0477034 0.119727i
\(22\) −0.421682 1.51876i −0.0899029 0.323801i
\(23\) 5.34329 1.17615i 1.11415 0.245243i 0.380508 0.924778i \(-0.375749\pi\)
0.733644 + 0.679534i \(0.237818\pi\)
\(24\) 0.740798 1.09260i 0.151215 0.223025i
\(25\) −0.818313 1.54350i −0.163663 0.308701i
\(26\) 0.191261 0.360756i 0.0375093 0.0707500i
\(27\) 0.561187 + 0.827689i 0.108001 + 0.159289i
\(28\) 0.808034 + 0.765411i 0.152704 + 0.144649i
\(29\) −4.53025 2.09592i −0.841246 0.389202i −0.0485512 0.998821i \(-0.515460\pi\)
−0.792695 + 0.609619i \(0.791322\pi\)
\(30\) −0.556262 0.257354i −0.101559 0.0469862i
\(31\) −4.92581 4.66598i −0.884702 0.838035i 0.102952 0.994686i \(-0.467171\pi\)
−0.987654 + 0.156652i \(0.949930\pi\)
\(32\) 2.11482 + 3.11913i 0.373851 + 0.551390i
\(33\) −2.17263 + 4.09801i −0.378206 + 0.713371i
\(34\) −0.462305 0.871999i −0.0792846 0.149547i
\(35\) 0.597784 0.881666i 0.101044 0.149029i
\(36\) −1.84046 + 0.405116i −0.306743 + 0.0675193i
\(37\) −0.764811 2.75460i −0.125734 0.452853i 0.873701 0.486464i \(-0.161713\pi\)
−0.999435 + 0.0336101i \(0.989300\pi\)
\(38\) −0.904221 + 2.26942i −0.146684 + 0.368149i
\(39\) −1.13866 + 0.383660i −0.182332 + 0.0614348i
\(40\) 1.72849 1.63732i 0.273299 0.258882i
\(41\) −2.79127 0.614404i −0.435922 0.0959538i −0.00841285 0.999965i \(-0.502678\pi\)
−0.427510 + 0.904011i \(0.640609\pi\)
\(42\) 0.0108657 + 0.200407i 0.00167662 + 0.0309235i
\(43\) −0.804718 4.90856i −0.122718 0.748549i −0.974456 0.224580i \(-0.927899\pi\)
0.851737 0.523969i \(-0.175549\pi\)
\(44\) −5.65880 6.66205i −0.853096 1.00434i
\(45\) 0.667583 + 1.67551i 0.0995174 + 0.249770i
\(46\) −1.48013 + 1.12517i −0.218234 + 0.165897i
\(47\) 5.30169 3.18992i 0.773330 0.465297i −0.0734113 0.997302i \(-0.523389\pi\)
0.846742 + 0.532004i \(0.178561\pi\)
\(48\) 0.537189 3.27671i 0.0775366 0.472952i
\(49\) 6.61220 + 0.719120i 0.944600 + 0.102731i
\(50\) 0.472622 + 0.359278i 0.0668388 + 0.0508095i
\(51\) −0.776996 + 2.79849i −0.108801 + 0.391866i
\(52\) 0.122590 2.26104i 0.0170002 0.313550i
\(53\) −0.142909 + 0.0155423i −0.0196301 + 0.00213490i −0.117929 0.993022i \(-0.537625\pi\)
0.0982987 + 0.995157i \(0.468660\pi\)
\(54\) −0.291181 0.175198i −0.0396247 0.0238414i
\(55\) −5.41583 + 6.37601i −0.730271 + 0.859741i
\(56\) −0.738817 0.248936i −0.0987286 0.0332655i
\(57\) 6.52437 3.01850i 0.864174 0.399809i
\(58\) 1.69627 0.222731
\(59\) 2.44099 7.28296i 0.317790 0.948161i
\(60\) −3.39893 −0.438800
\(61\) −9.25799 + 4.28320i −1.18536 + 0.548408i −0.910674 0.413125i \(-0.864437\pi\)
−0.274690 + 0.961533i \(0.588575\pi\)
\(62\) 2.18498 + 0.736207i 0.277493 + 0.0934984i
\(63\) 0.382348 0.450135i 0.0481713 0.0567117i
\(64\) 4.59299 + 2.76351i 0.574124 + 0.345439i
\(65\) −2.15444 + 0.234309i −0.267225 + 0.0290625i
\(66\) 0.0853345 1.57390i 0.0105040 0.193734i
\(67\) −1.40204 + 5.04970i −0.171287 + 0.616918i 0.827199 + 0.561909i \(0.189933\pi\)
−0.998486 + 0.0550098i \(0.982481\pi\)
\(68\) −4.35726 3.31230i −0.528395 0.401675i
\(69\) 5.43913 + 0.591541i 0.654794 + 0.0712131i
\(70\) −0.0585628 + 0.357217i −0.00699959 + 0.0426956i
\(71\) −0.0797021 + 0.0479551i −0.00945889 + 0.00569123i −0.520275 0.853999i \(-0.674171\pi\)
0.510817 + 0.859690i \(0.329343\pi\)
\(72\) 1.05089 0.798864i 0.123848 0.0941470i
\(73\) −2.00693 5.03702i −0.234893 0.589538i 0.763524 0.645780i \(-0.223468\pi\)
−0.998417 + 0.0562417i \(0.982088\pi\)
\(74\) 0.628930 + 0.740434i 0.0731117 + 0.0860737i
\(75\) −0.282634 1.72399i −0.0326358 0.199070i
\(76\) 0.733442 + 13.5275i 0.0841316 + 1.55172i
\(77\) 2.67535 + 0.588890i 0.304885 + 0.0671102i
\(78\) 0.296439 0.280801i 0.0335651 0.0317945i
\(79\) 7.76292 2.61563i 0.873397 0.294282i 0.153321 0.988177i \(-0.451003\pi\)
0.720076 + 0.693895i \(0.244107\pi\)
\(80\) 2.21668 5.56344i 0.247832 0.622011i
\(81\) 0.267528 + 0.963550i 0.0297254 + 0.107061i
\(82\) 0.948541 0.208790i 0.104749 0.0230570i
\(83\) −8.21977 + 12.1232i −0.902237 + 1.33070i 0.0412015 + 0.999151i \(0.486881\pi\)
−0.943438 + 0.331549i \(0.892429\pi\)
\(84\) 0.521339 + 0.983350i 0.0568828 + 0.107292i
\(85\) −2.45366 + 4.62810i −0.266137 + 0.501988i
\(86\) 0.948585 + 1.39906i 0.102289 + 0.150864i
\(87\) −3.62387 3.43272i −0.388520 0.368026i
\(88\) 5.55693 + 2.57091i 0.592371 + 0.274060i
\(89\) 11.9629 + 5.53463i 1.26806 + 0.586669i 0.934468 0.356047i \(-0.115876\pi\)
0.333597 + 0.942716i \(0.391738\pi\)
\(90\) −0.444970 0.421498i −0.0469039 0.0444297i
\(91\) 0.398243 + 0.587365i 0.0417473 + 0.0615726i
\(92\) −4.82956 + 9.10952i −0.503517 + 0.949733i
\(93\) −3.17811 5.99455i −0.329555 0.621606i
\(94\) −1.17996 + 1.74031i −0.121704 + 0.179500i
\(95\) 12.6626 2.78725i 1.29916 0.285966i
\(96\) 1.00818 + 3.63112i 0.102897 + 0.370600i
\(97\) −6.18934 + 15.5341i −0.628432 + 1.57725i 0.176775 + 0.984251i \(0.443434\pi\)
−0.805207 + 0.592994i \(0.797946\pi\)
\(98\) −2.14192 + 0.721697i −0.216367 + 0.0729025i
\(99\) −3.36740 + 3.18977i −0.338436 + 0.320584i
\(100\) 3.21530 + 0.707741i 0.321530 + 0.0707741i
\(101\) 0.398253 + 7.34535i 0.0396277 + 0.730890i 0.949071 + 0.315062i \(0.102025\pi\)
−0.909443 + 0.415828i \(0.863492\pi\)
\(102\) −0.159674 0.973968i −0.0158101 0.0964372i
\(103\) 8.65374 + 10.1880i 0.852679 + 1.00385i 0.999891 + 0.0147462i \(0.00469402\pi\)
−0.147213 + 0.989105i \(0.547030\pi\)
\(104\) 0.587086 + 1.47348i 0.0575685 + 0.144486i
\(105\) 0.848009 0.644640i 0.0827572 0.0629104i
\(106\) 0.0418579 0.0251851i 0.00406560 0.00244619i
\(107\) 1.14900 7.00862i 0.111078 0.677548i −0.871315 0.490724i \(-0.836732\pi\)
0.982393 0.186824i \(-0.0598195\pi\)
\(108\) −1.87347 0.203752i −0.180275 0.0196061i
\(109\) −6.90071 5.24578i −0.660968 0.502455i 0.220080 0.975482i \(-0.429368\pi\)
−0.881048 + 0.473027i \(0.843161\pi\)
\(110\) 0.760548 2.73925i 0.0725154 0.261177i
\(111\) 0.154772 2.85461i 0.0146904 0.270948i
\(112\) −1.94957 + 0.212029i −0.184217 + 0.0200348i
\(113\) −5.42442 3.26377i −0.510287 0.307029i 0.237024 0.971504i \(-0.423828\pi\)
−0.747311 + 0.664474i \(0.768655\pi\)
\(114\) −1.58152 + 1.86191i −0.148123 + 0.174384i
\(115\) 9.35133 + 3.15083i 0.872016 + 0.293816i
\(116\) 8.53734 3.94979i 0.792672 0.366729i
\(117\) −1.20156 −0.111084
\(118\) 0.286354 + 2.59449i 0.0263610 + 0.238842i
\(119\) 1.71532 0.157243
\(120\) 2.16081 0.999697i 0.197254 0.0912594i
\(121\) −9.96359 3.35712i −0.905781 0.305193i
\(122\) 2.24415 2.64202i 0.203176 0.239197i
\(123\) −2.44897 1.47350i −0.220816 0.132861i
\(124\) 12.7113 1.38244i 1.14151 0.124147i
\(125\) 0.658813 12.1511i 0.0589260 1.08683i
\(126\) −0.0536933 + 0.193386i −0.00478338 + 0.0172282i
\(127\) −5.95823 4.52933i −0.528707 0.401913i 0.306481 0.951877i \(-0.400848\pi\)
−0.835188 + 0.549964i \(0.814641\pi\)
\(128\) −9.30366 1.01183i −0.822335 0.0894343i
\(129\) 0.804718 4.90856i 0.0708515 0.432175i
\(130\) 0.631031 0.379679i 0.0553451 0.0333000i
\(131\) −10.5004 + 7.98221i −0.917426 + 0.697409i −0.953325 0.301947i \(-0.902364\pi\)
0.0358992 + 0.999355i \(0.488570\pi\)
\(132\) −3.23538 8.12018i −0.281603 0.706771i
\(133\) −2.74862 3.23593i −0.238336 0.280590i
\(134\) −0.288122 1.75746i −0.0248899 0.151822i
\(135\) 0.0976452 + 1.80096i 0.00840396 + 0.155002i
\(136\) 3.74427 + 0.824176i 0.321068 + 0.0706725i
\(137\) −11.4307 + 10.8277i −0.976592 + 0.925077i −0.997205 0.0747107i \(-0.976197\pi\)
0.0206135 + 0.999788i \(0.493438\pi\)
\(138\) −1.76192 + 0.593661i −0.149985 + 0.0505358i
\(139\) 7.44449 18.6843i 0.631433 1.58478i −0.169172 0.985587i \(-0.554109\pi\)
0.800606 0.599192i \(-0.204511\pi\)
\(140\) 0.537041 + 1.93425i 0.0453882 + 0.163474i
\(141\) 6.04270 1.33010i 0.508888 0.112015i
\(142\) 0.0177388 0.0261627i 0.00148860 0.00219553i
\(143\) −2.61054 4.92400i −0.218305 0.411766i
\(144\) 1.55533 2.93366i 0.129611 0.244472i
\(145\) −5.05229 7.45157i −0.419570 0.618819i
\(146\) 1.33770 + 1.26713i 0.110708 + 0.104869i
\(147\) 6.03646 + 2.79276i 0.497878 + 0.230343i
\(148\) 4.88953 + 2.26214i 0.401917 + 0.185947i
\(149\) −8.13231 7.70333i −0.666225 0.631082i 0.277923 0.960603i \(-0.410354\pi\)
−0.944148 + 0.329522i \(0.893113\pi\)
\(150\) 0.333164 + 0.491379i 0.0272027 + 0.0401210i
\(151\) 3.38248 6.38004i 0.275263 0.519200i −0.706881 0.707332i \(-0.749898\pi\)
0.982144 + 0.188132i \(0.0602433\pi\)
\(152\) −4.44501 8.38418i −0.360538 0.680047i
\(153\) −1.62988 + 2.40390i −0.131768 + 0.194344i
\(154\) −0.909151 + 0.200119i −0.0732615 + 0.0161261i
\(155\) −3.27382 11.7912i −0.262960 0.947096i
\(156\) 0.838128 2.10354i 0.0671039 0.168418i
\(157\) −13.7202 + 4.62289i −1.09499 + 0.368947i −0.808118 0.589021i \(-0.799514\pi\)
−0.286877 + 0.957967i \(0.592617\pi\)
\(158\) −2.02099 + 1.91439i −0.160781 + 0.152300i
\(159\) −0.140391 0.0309024i −0.0111337 0.00245072i
\(160\) 0.367974 + 6.78689i 0.0290909 + 0.536550i
\(161\) −0.522767 3.18874i −0.0411998 0.251308i
\(162\) −0.219998 0.259001i −0.0172847 0.0203491i
\(163\) 7.98881 + 20.0504i 0.625732 + 1.57047i 0.809258 + 0.587454i \(0.199870\pi\)
−0.183526 + 0.983015i \(0.558751\pi\)
\(164\) 4.28785 3.25954i 0.334825 0.254527i
\(165\) −7.16820 + 4.31296i −0.558044 + 0.335764i
\(166\) 0.805262 4.91188i 0.0625004 0.381236i
\(167\) 2.44535 + 0.265947i 0.189227 + 0.0205796i 0.202242 0.979336i \(-0.435177\pi\)
−0.0130149 + 0.999915i \(0.504143\pi\)
\(168\) −0.620656 0.471811i −0.0478847 0.0364010i
\(169\) −3.09162 + 11.1350i −0.237817 + 0.856540i
\(170\) 0.0963729 1.77749i 0.00739146 0.136327i
\(171\) 7.14665 0.777245i 0.546518 0.0594374i
\(172\) 8.03198 + 4.83268i 0.612433 + 0.368488i
\(173\) −6.14102 + 7.22977i −0.466893 + 0.549669i −0.944331 0.328996i \(-0.893290\pi\)
0.477438 + 0.878665i \(0.341566\pi\)
\(174\) 1.60747 + 0.541620i 0.121862 + 0.0410601i
\(175\) −0.936425 + 0.433236i −0.0707871 + 0.0327496i
\(176\) 15.4013 1.16092
\(177\) 4.63868 6.12231i 0.348664 0.460181i
\(178\) −4.47928 −0.335737
\(179\) 6.61888 3.06222i 0.494719 0.228881i −0.156634 0.987657i \(-0.550064\pi\)
0.651352 + 0.758776i \(0.274202\pi\)
\(180\) −3.22101 1.08528i −0.240080 0.0808922i
\(181\) −1.60298 + 1.88718i −0.119149 + 0.140273i −0.818503 0.574503i \(-0.805195\pi\)
0.699354 + 0.714776i \(0.253471\pi\)
\(182\) −0.206635 0.124328i −0.0153168 0.00921583i
\(183\) −10.1410 + 1.10290i −0.749644 + 0.0815287i
\(184\) 0.391007 7.21169i 0.0288254 0.531653i
\(185\) 1.37942 4.96821i 0.101417 0.365270i
\(186\) 1.83554 + 1.39534i 0.134588 + 0.102311i
\(187\) −13.3923 1.45650i −0.979343 0.106510i
\(188\) −1.88641 + 11.5066i −0.137581 + 0.839205i
\(189\) 0.506062 0.304487i 0.0368106 0.0221482i
\(190\) −3.50765 + 2.66645i −0.254472 + 0.193444i
\(191\) −0.881425 2.21221i −0.0637777 0.160070i 0.893634 0.448797i \(-0.148147\pi\)
−0.957411 + 0.288727i \(0.906768\pi\)
\(192\) 3.47017 + 4.08540i 0.250438 + 0.294838i
\(193\) −1.51545 9.24384i −0.109084 0.665386i −0.983597 0.180382i \(-0.942267\pi\)
0.874512 0.485004i \(-0.161182\pi\)
\(194\) −0.307641 5.67411i −0.0220874 0.407377i
\(195\) −2.11648 0.465871i −0.151564 0.0333617i
\(196\) −9.09984 + 8.61983i −0.649989 + 0.615702i
\(197\) 12.0999 4.07693i 0.862082 0.290469i 0.146681 0.989184i \(-0.453141\pi\)
0.715400 + 0.698715i \(0.246244\pi\)
\(198\) 0.583417 1.46427i 0.0414616 0.104061i
\(199\) −4.77697 17.2051i −0.338631 1.21964i −0.915338 0.402686i \(-0.868077\pi\)
0.576707 0.816951i \(-0.304337\pi\)
\(200\) −2.25223 + 0.495754i −0.159257 + 0.0350551i
\(201\) −2.94102 + 4.33769i −0.207444 + 0.305957i
\(202\) −1.17093 2.20860i −0.0823861 0.155397i
\(203\) −1.38089 + 2.60464i −0.0969195 + 0.182810i
\(204\) −3.07155 4.53019i −0.215051 0.317177i
\(205\) −3.74240 3.54499i −0.261381 0.247593i
\(206\) −4.12267 1.90735i −0.287240 0.132891i
\(207\) 4.96553 + 2.29730i 0.345128 + 0.159673i
\(208\) 2.89652 + 2.74373i 0.200838 + 0.190244i
\(209\) 18.7122 + 27.5984i 1.29435 + 1.90902i
\(210\) −0.169557 + 0.319819i −0.0117006 + 0.0220696i
\(211\) −0.617236 1.16423i −0.0424923 0.0801489i 0.861357 0.508001i \(-0.169615\pi\)
−0.903849 + 0.427852i \(0.859270\pi\)
\(212\) 0.152028 0.224224i 0.0104413 0.0153998i
\(213\) −0.0908421 + 0.0199958i −0.00622439 + 0.00137009i
\(214\) 0.645678 + 2.32552i 0.0441377 + 0.158969i
\(215\) 3.32062 8.33412i 0.226464 0.568382i
\(216\) 1.25095 0.421496i 0.0851167 0.0286792i
\(217\) −2.90920 + 2.75574i −0.197489 + 0.187072i
\(218\) 2.87681 + 0.633233i 0.194842 + 0.0428879i
\(219\) −0.293547 5.41416i −0.0198361 0.365855i
\(220\) −2.55054 15.5576i −0.171958 1.04889i
\(221\) −2.25922 2.65976i −0.151971 0.178915i
\(222\) 0.359586 + 0.902493i 0.0241338 + 0.0605714i
\(223\) 15.8967 12.0843i 1.06452 0.809227i 0.0822330 0.996613i \(-0.473795\pi\)
0.982286 + 0.187387i \(0.0600017\pi\)
\(224\) 1.90709 1.14746i 0.127423 0.0766676i
\(225\) 0.282634 1.72399i 0.0188423 0.114933i
\(226\) 2.13868 + 0.232596i 0.142263 + 0.0154720i
\(227\) −19.0194 14.4582i −1.26236 0.959624i −0.262378 0.964965i \(-0.584507\pi\)
−0.999986 + 0.00534086i \(0.998300\pi\)
\(228\) −3.62432 + 13.0536i −0.240026 + 0.864497i
\(229\) 0.145303 2.67995i 0.00960188 0.177096i −0.989799 0.142474i \(-0.954494\pi\)
0.999400 0.0346226i \(-0.0110229\pi\)
\(230\) −3.33369 + 0.362561i −0.219817 + 0.0239066i
\(231\) 2.34727 + 1.41231i 0.154439 + 0.0929231i
\(232\) −4.26574 + 5.02202i −0.280060 + 0.329712i
\(233\) −2.57509 0.867648i −0.168700 0.0568415i 0.233684 0.972312i \(-0.424922\pi\)
−0.402384 + 0.915471i \(0.631818\pi\)
\(234\) 0.370581 0.171449i 0.0242257 0.0112080i
\(235\) 11.1596 0.727969
\(236\) 7.48255 + 12.3913i 0.487072 + 0.806606i
\(237\) 8.19173 0.532110
\(238\) −0.529032 + 0.244756i −0.0342920 + 0.0158652i
\(239\) −23.9566 8.07190i −1.54962 0.522128i −0.590965 0.806697i \(-0.701253\pi\)
−0.958656 + 0.284569i \(0.908150\pi\)
\(240\) 3.87706 4.56442i 0.250263 0.294632i
\(241\) −0.781654 0.470306i −0.0503508 0.0302951i 0.490156 0.871635i \(-0.336940\pi\)
−0.540507 + 0.841340i \(0.681767\pi\)
\(242\) 3.55196 0.386299i 0.228329 0.0248322i
\(243\) −0.0541389 + 0.998533i −0.00347301 + 0.0640559i
\(244\) 5.14286 18.5229i 0.329238 1.18581i
\(245\) 9.55003 + 7.25974i 0.610129 + 0.463808i
\(246\) 0.965555 + 0.105010i 0.0615615 + 0.00669522i
\(247\) −1.39744 + 8.52398i −0.0889167 + 0.542368i
\(248\) −7.67441 + 4.61754i −0.487325 + 0.293214i
\(249\) −11.6605 + 8.86405i −0.738952 + 0.561736i
\(250\) 1.53063 + 3.84160i 0.0968058 + 0.242964i
\(251\) 8.61919 + 10.1473i 0.544038 + 0.640491i 0.963636 0.267219i \(-0.0861047\pi\)
−0.419598 + 0.907710i \(0.637829\pi\)
\(252\) 0.180064 + 1.09834i 0.0113429 + 0.0691889i
\(253\) 1.37389 + 25.3399i 0.0863758 + 1.59311i
\(254\) 2.48390 + 0.546748i 0.155854 + 0.0343060i
\(255\) −3.80298 + 3.60238i −0.238152 + 0.225590i
\(256\) −7.14559 + 2.40763i −0.446599 + 0.150477i
\(257\) −10.1815 + 25.5537i −0.635105 + 1.59399i 0.159725 + 0.987161i \(0.448939\pi\)
−0.794830 + 0.606832i \(0.792440\pi\)
\(258\) 0.452208 + 1.62871i 0.0281532 + 0.101399i
\(259\) −1.64894 + 0.362960i −0.102460 + 0.0225532i
\(260\) 2.29190 3.38030i 0.142138 0.209637i
\(261\) −2.33810 4.41013i −0.144725 0.272980i
\(262\) 2.09953 3.96014i 0.129709 0.244658i
\(263\) 15.0721 + 22.2297i 0.929387 + 1.37074i 0.928735 + 0.370744i \(0.120897\pi\)
0.000652197 1.00000i \(0.499792\pi\)
\(264\) 4.44515 + 4.21067i 0.273580 + 0.259149i
\(265\) −0.235309 0.108865i −0.0144549 0.00668755i
\(266\) 1.30945 + 0.605816i 0.0802875 + 0.0371450i
\(267\) 9.56947 + 9.06468i 0.585642 + 0.554749i
\(268\) −5.54242 8.17445i −0.338557 0.499334i
\(269\) −2.22765 + 4.20180i −0.135823 + 0.256188i −0.942088 0.335365i \(-0.891140\pi\)
0.806266 + 0.591554i \(0.201485\pi\)
\(270\) −0.287092 0.541513i −0.0174719 0.0329554i
\(271\) 13.5809 20.0303i 0.824979 1.21675i −0.148712 0.988880i \(-0.547513\pi\)
0.973691 0.227872i \(-0.0731768\pi\)
\(272\) 9.41828 2.07312i 0.571067 0.125701i
\(273\) 0.189850 + 0.683778i 0.0114903 + 0.0413841i
\(274\) 1.98042 4.97049i 0.119642 0.300278i
\(275\) 7.67900 2.58736i 0.463061 0.156023i
\(276\) −7.48543 + 7.09058i −0.450570 + 0.426803i
\(277\) 6.61954 + 1.45707i 0.397730 + 0.0875469i 0.409331 0.912386i \(-0.365762\pi\)
−0.0116017 + 0.999933i \(0.503693\pi\)
\(278\) 0.370029 + 6.82478i 0.0221929 + 0.409323i
\(279\) −1.09768 6.69553i −0.0657162 0.400851i
\(280\) −0.910317 1.07171i −0.0544018 0.0640468i
\(281\) 2.41167 + 6.05285i 0.143868 + 0.361082i 0.983198 0.182540i \(-0.0584318\pi\)
−0.839330 + 0.543622i \(0.817052\pi\)
\(282\) −1.67388 + 1.27245i −0.0996781 + 0.0757733i
\(283\) −2.56931 + 1.54590i −0.152730 + 0.0918944i −0.589867 0.807500i \(-0.700820\pi\)
0.437137 + 0.899395i \(0.355992\pi\)
\(284\) 0.0283591 0.172983i 0.00168280 0.0102646i
\(285\) 12.8897 + 1.40184i 0.763522 + 0.0830380i
\(286\) 1.50773 + 1.14615i 0.0891542 + 0.0677733i
\(287\) −0.451586 + 1.62647i −0.0266563 + 0.0960072i
\(288\) −0.204022 + 3.76296i −0.0120221 + 0.221734i
\(289\) 8.51455 0.926013i 0.500856 0.0544714i
\(290\) 2.62146 + 1.57728i 0.153938 + 0.0926212i
\(291\) −10.8254 + 12.7446i −0.634596 + 0.747104i
\(292\) 9.68319 + 3.26265i 0.566666 + 0.190932i
\(293\) 12.5087 5.78713i 0.730765 0.338088i −0.0189755 0.999820i \(-0.506040\pi\)
0.749740 + 0.661732i \(0.230178\pi\)
\(294\) −2.26024 −0.131820
\(295\) 10.5445 8.98556i 0.613924 0.523159i
\(296\) −3.77378 −0.219346
\(297\) −4.20962 + 1.94758i −0.244267 + 0.113010i
\(298\) 3.60732 + 1.21545i 0.208966 + 0.0704089i
\(299\) −4.25590 + 5.01044i −0.246125 + 0.289761i
\(300\) 2.82101 + 1.69734i 0.162871 + 0.0979961i
\(301\) −2.92049 + 0.317622i −0.168334 + 0.0183074i
\(302\) −0.132854 + 2.45035i −0.00764490 + 0.141002i
\(303\) −1.96798 + 7.08801i −0.113057 + 0.407195i
\(304\) −19.0028 14.4455i −1.08988 0.828508i
\(305\) −18.2904 1.98920i −1.04730 0.113901i
\(306\) 0.159674 0.973968i 0.00912795 0.0556780i
\(307\) −17.2096 + 10.3547i −0.982206 + 0.590974i −0.913576 0.406669i \(-0.866690\pi\)
−0.0686299 + 0.997642i \(0.521863\pi\)
\(308\) −4.10979 + 3.12418i −0.234177 + 0.178017i
\(309\) 4.94771 + 12.4178i 0.281466 + 0.706425i
\(310\) 2.69218 + 3.16948i 0.152906 + 0.180014i
\(311\) −1.84566 11.2580i −0.104658 0.638383i −0.986108 0.166106i \(-0.946880\pi\)
0.881450 0.472277i \(-0.156568\pi\)
\(312\) 0.0858712 + 1.58380i 0.00486150 + 0.0896651i
\(313\) −17.8042 3.91900i −1.00635 0.221515i −0.318935 0.947777i \(-0.603325\pi\)
−0.687418 + 0.726262i \(0.741256\pi\)
\(314\) 3.57192 3.38350i 0.201575 0.190942i
\(315\) 1.00945 0.340124i 0.0568762 0.0191638i
\(316\) −5.71400 + 14.3411i −0.321438 + 0.806748i
\(317\) −7.63940 27.5146i −0.429071 1.54538i −0.790194 0.612857i \(-0.790020\pi\)
0.361122 0.932519i \(-0.382394\pi\)
\(318\) 0.0477084 0.0105014i 0.00267535 0.000588890i
\(319\) 12.9929 19.1631i 0.727464 1.07293i
\(320\) 4.52849 + 8.54164i 0.253150 + 0.477492i
\(321\) 3.32672 6.27486i 0.185679 0.350228i
\(322\) 0.616226 + 0.908866i 0.0343410 + 0.0506491i
\(323\) 15.1579 + 14.3583i 0.843407 + 0.798918i
\(324\) −1.71034 0.791289i −0.0950191 0.0439605i
\(325\) 1.90512 + 0.881404i 0.105677 + 0.0488915i
\(326\) −5.32485 5.04396i −0.294916 0.279359i
\(327\) −4.86449 7.17459i −0.269007 0.396756i
\(328\) −1.76723 + 3.33334i −0.0975787 + 0.184053i
\(329\) −1.71169 3.22859i −0.0943686 0.177998i
\(330\) 1.59538 2.35301i 0.0878228 0.129529i
\(331\) 15.5952 3.43276i 0.857189 0.188681i 0.235431 0.971891i \(-0.424350\pi\)
0.621758 + 0.783210i \(0.286419\pi\)
\(332\) −7.38452 26.5966i −0.405278 1.45968i
\(333\) 1.05815 2.65576i 0.0579864 0.145535i
\(334\) −0.792133 + 0.266901i −0.0433436 + 0.0146042i
\(335\) −6.86225 + 6.50027i −0.374925 + 0.355147i
\(336\) −1.91522 0.421571i −0.104484 0.0229986i
\(337\) −0.637675 11.7612i −0.0347364 0.640675i −0.963123 0.269060i \(-0.913287\pi\)
0.928387 0.371615i \(-0.121196\pi\)
\(338\) −0.635334 3.87537i −0.0345576 0.210792i
\(339\) −4.09834 4.82494i −0.222592 0.262055i
\(340\) −3.65388 9.17056i −0.198160 0.497343i
\(341\) 25.0535 19.0452i 1.35672 1.03135i
\(342\) −2.09324 + 1.25946i −0.113190 + 0.0681039i
\(343\) 1.30436 7.95622i 0.0704286 0.429595i
\(344\) −6.52758 0.709917i −0.351944 0.0382762i
\(345\) 7.85575 + 5.97179i 0.422940 + 0.321510i
\(346\) 0.862386 3.10603i 0.0463622 0.166981i
\(347\) −1.71609 + 31.6514i −0.0921245 + 1.69914i 0.478632 + 0.878016i \(0.341133\pi\)
−0.570756 + 0.821120i \(0.693350\pi\)
\(348\) 9.35161 1.01705i 0.501299 0.0545195i
\(349\) 14.0649 + 8.46254i 0.752874 + 0.452989i 0.839574 0.543245i \(-0.182805\pi\)
−0.0866999 + 0.996234i \(0.527632\pi\)
\(350\) 0.226991 0.267234i 0.0121332 0.0142843i
\(351\) −1.13866 0.383660i −0.0607773 0.0204783i
\(352\) −15.8639 + 7.33941i −0.845548 + 0.391192i
\(353\) −10.4072 −0.553917 −0.276959 0.960882i \(-0.589326\pi\)
−0.276959 + 0.960882i \(0.589326\pi\)
\(354\) −0.557060 + 2.55011i −0.0296074 + 0.135537i
\(355\) −0.167765 −0.00890407
\(356\) −22.5443 + 10.4301i −1.19485 + 0.552795i
\(357\) 1.62552 + 0.547703i 0.0860319 + 0.0289875i
\(358\) −1.60443 + 1.88888i −0.0847967 + 0.0998304i
\(359\) 12.3696 + 7.44254i 0.652842 + 0.392802i 0.803100 0.595845i \(-0.203183\pi\)
−0.150257 + 0.988647i \(0.548010\pi\)
\(360\) 2.36690 0.257416i 0.124747 0.0135670i
\(361\) 1.76919 32.6308i 0.0931153 1.71741i
\(362\) 0.225108 0.810764i 0.0118314 0.0426128i
\(363\) −8.37009 6.36278i −0.439316 0.333959i
\(364\) −1.32950 0.144592i −0.0696847 0.00757867i
\(365\) 1.58212 9.65052i 0.0828121 0.505131i
\(366\) 2.97028 1.78716i 0.155259 0.0934162i
\(367\) 1.60979 1.22373i 0.0840306 0.0638784i −0.562315 0.826923i \(-0.690089\pi\)
0.646346 + 0.763044i \(0.276296\pi\)
\(368\) −6.72424 16.8766i −0.350525 0.879752i
\(369\) −1.85029 2.17832i −0.0963220 0.113399i
\(370\) 0.283472 + 1.72911i 0.0147370 + 0.0898919i
\(371\) 0.00459641 + 0.0847758i 0.000238634 + 0.00440134i
\(372\) 12.4874 + 2.74868i 0.647439 + 0.142512i
\(373\) −17.7309 + 16.7956i −0.918071 + 0.869643i −0.991821 0.127633i \(-0.959262\pi\)
0.0737500 + 0.997277i \(0.476503\pi\)
\(374\) 4.33824 1.46172i 0.224325 0.0755839i
\(375\) 4.50419 11.3047i 0.232595 0.583770i
\(376\) −2.18508 7.86995i −0.112687 0.405862i
\(377\) 5.85748 1.28933i 0.301676 0.0664038i
\(378\) −0.112631 + 0.166118i −0.00579311 + 0.00854420i
\(379\) 16.9780 + 32.0238i 0.872099 + 1.64495i 0.758735 + 0.651399i \(0.225818\pi\)
0.113364 + 0.993554i \(0.463838\pi\)
\(380\) −11.4452 + 21.5879i −0.587125 + 1.10744i
\(381\) −4.20011 6.19470i −0.215178 0.317364i
\(382\) 0.587503 + 0.556513i 0.0300593 + 0.0284737i
\(383\) −33.6145 15.5517i −1.71762 0.794656i −0.994594 0.103836i \(-0.966888\pi\)
−0.723027 0.690820i \(-0.757250\pi\)
\(384\) −8.49356 3.92954i −0.433435 0.200529i
\(385\) 3.58700 + 3.39778i 0.182810 + 0.173167i
\(386\) 1.78638 + 2.63471i 0.0909244 + 0.134103i
\(387\) 2.32990 4.39467i 0.118436 0.223393i
\(388\) −14.7607 27.8415i −0.749359 1.41344i
\(389\) −8.84612 + 13.0470i −0.448516 + 0.661511i −0.982987 0.183675i \(-0.941200\pi\)
0.534471 + 0.845187i \(0.320511\pi\)
\(390\) 0.719230 0.158315i 0.0364196 0.00801657i
\(391\) 4.25110 + 15.3111i 0.214987 + 0.774314i
\(392\) 3.24979 8.15636i 0.164139 0.411958i
\(393\) −12.4995 + 4.21157i −0.630516 + 0.212445i
\(394\) −3.15008 + 2.98391i −0.158699 + 0.150327i
\(395\) 14.4292 + 3.17611i 0.726013 + 0.159808i
\(396\) −0.473228 8.72817i −0.0237806 0.438607i
\(397\) −3.59892 21.9524i −0.180625 1.10176i −0.909066 0.416653i \(-0.863203\pi\)
0.728441 0.685108i \(-0.240245\pi\)
\(398\) 3.92827 + 4.62472i 0.196906 + 0.231816i
\(399\) −1.57150 3.94417i −0.0786735 0.197456i
\(400\) −4.61802 + 3.51053i −0.230901 + 0.175526i
\(401\) 25.7721 15.5065i 1.28700 0.774360i 0.303076 0.952967i \(-0.401987\pi\)
0.983921 + 0.178607i \(0.0571589\pi\)
\(402\) 0.288122 1.75746i 0.0143702 0.0876544i
\(403\) 8.10469 + 0.881438i 0.403723 + 0.0439076i
\(404\) −11.0361 8.38940i −0.549065 0.417388i
\(405\) −0.482516 + 1.73786i −0.0239764 + 0.0863552i
\(406\) 0.0542374 1.00035i 0.00269176 0.0496465i
\(407\) 13.1823 1.43366i 0.653422 0.0710639i
\(408\) 3.28511 + 1.97658i 0.162637 + 0.0978554i
\(409\) 5.15351 6.06718i 0.254825 0.300003i −0.619843 0.784726i \(-0.712804\pi\)
0.874668 + 0.484723i \(0.161080\pi\)
\(410\) 1.66005 + 0.559336i 0.0819840 + 0.0276236i
\(411\) −14.2897 + 6.61110i −0.704857 + 0.326102i
\(412\) −25.1908 −1.24106
\(413\) −4.21698 1.67241i −0.207504 0.0822940i
\(414\) −1.85925 −0.0913771
\(415\) −23.9760 + 11.0925i −1.17693 + 0.544508i
\(416\) −4.29103 1.44582i −0.210385 0.0708870i
\(417\) 13.0207 15.3292i 0.637627 0.750672i
\(418\) −9.70911 5.84178i −0.474888 0.285731i
\(419\) 7.74891 0.842745i 0.378559 0.0411708i 0.0831384 0.996538i \(-0.473506\pi\)
0.295421 + 0.955367i \(0.404540\pi\)
\(420\) −0.108679 + 2.00447i −0.00530301 + 0.0978082i
\(421\) −9.35287 + 33.6860i −0.455831 + 1.64176i 0.276652 + 0.960970i \(0.410775\pi\)
−0.732483 + 0.680785i \(0.761639\pi\)
\(422\) 0.356488 + 0.270995i 0.0173536 + 0.0131918i
\(423\) 6.15109 + 0.668971i 0.299076 + 0.0325265i
\(424\) −0.0306999 + 0.187261i −0.00149092 + 0.00909419i
\(425\) 4.34763 2.61588i 0.210891 0.126889i
\(426\) 0.0251640 0.0191292i 0.00121920 0.000926812i
\(427\) 2.22994 + 5.59673i 0.107914 + 0.270845i
\(428\) 8.66474 + 10.2009i 0.418826 + 0.493080i
\(429\) −0.901646 5.49980i −0.0435319 0.265533i
\(430\) 0.165051 + 3.04420i 0.00795949 + 0.146804i
\(431\) −25.6444 5.64477i −1.23525 0.271899i −0.451101 0.892473i \(-0.648969\pi\)
−0.784148 + 0.620574i \(0.786900\pi\)
\(432\) 2.41063 2.28347i 0.115982 0.109864i
\(433\) −17.7853 + 5.99257i −0.854708 + 0.287985i −0.712344 0.701830i \(-0.752367\pi\)
−0.142363 + 0.989815i \(0.545470\pi\)
\(434\) 0.504032 1.26502i 0.0241943 0.0607231i
\(435\) −2.40852 8.67471i −0.115480 0.415920i
\(436\) 15.9535 3.51163i 0.764034 0.168177i
\(437\) 22.0722 32.5541i 1.05586 1.55727i
\(438\) 0.863074 + 1.62793i 0.0412393 + 0.0777855i
\(439\) 13.0634 24.6402i 0.623483 1.17601i −0.347684 0.937612i \(-0.613032\pi\)
0.971167 0.238402i \(-0.0766234\pi\)
\(440\) 6.19729 + 9.14031i 0.295444 + 0.435747i
\(441\) 4.82873 + 4.57402i 0.229940 + 0.217810i
\(442\) 1.07630 + 0.497948i 0.0511942 + 0.0236850i
\(443\) −17.5135 8.10259i −0.832089 0.384966i −0.0428728 0.999081i \(-0.513651\pi\)
−0.789217 + 0.614115i \(0.789513\pi\)
\(444\) 3.91128 + 3.70496i 0.185621 + 0.175830i
\(445\) 13.3414 + 19.6772i 0.632445 + 0.932787i
\(446\) −3.17850 + 5.99528i −0.150506 + 0.283885i
\(447\) −5.24692 9.89675i −0.248171 0.468100i
\(448\) 1.77660 2.62029i 0.0839366 0.123797i
\(449\) 14.5746 3.20811i 0.687817 0.151400i 0.142707 0.989765i \(-0.454419\pi\)
0.545109 + 0.838365i \(0.316488\pi\)
\(450\) 0.158825 + 0.572037i 0.00748709 + 0.0269661i
\(451\) 4.90681 12.3152i 0.231053 0.579899i
\(452\) 11.3056 3.80931i 0.531772 0.179175i
\(453\) 5.24258 4.96603i 0.246318 0.233325i
\(454\) 7.92893 + 1.74529i 0.372123 + 0.0819105i
\(455\) 0.0692934 + 1.27804i 0.00324853 + 0.0599155i
\(456\) −1.53525 9.36459i −0.0718945 0.438537i
\(457\) 18.5323 + 21.8179i 0.866904 + 1.02060i 0.999567 + 0.0294374i \(0.00937156\pi\)
−0.132662 + 0.991161i \(0.542353\pi\)
\(458\) 0.337585 + 0.847275i 0.0157743 + 0.0395906i
\(459\) −2.31213 + 1.75764i −0.107921 + 0.0820395i
\(460\) −15.9343 + 9.58735i −0.742941 + 0.447013i
\(461\) 4.51194 27.5216i 0.210142 1.28181i −0.645308 0.763923i \(-0.723271\pi\)
0.855450 0.517886i \(-0.173281\pi\)
\(462\) −0.925459 0.100650i −0.0430562 0.00468265i
\(463\) 26.5855 + 20.2098i 1.23553 + 0.939227i 0.999471 0.0325115i \(-0.0103505\pi\)
0.236060 + 0.971738i \(0.424144\pi\)
\(464\) −4.43411 + 15.9702i −0.205848 + 0.741398i
\(465\) 0.662514 12.2194i 0.0307234 0.566659i
\(466\) 0.918003 0.0998388i 0.0425256 0.00462494i
\(467\) −8.10401 4.87602i −0.375009 0.225635i 0.315554 0.948908i \(-0.397810\pi\)
−0.690563 + 0.723272i \(0.742637\pi\)
\(468\) 1.46592 1.72581i 0.0677621 0.0797757i
\(469\) 2.93316 + 0.988296i 0.135441 + 0.0456353i
\(470\) −3.44179 + 1.59234i −0.158758 + 0.0734493i
\(471\) −14.4781 −0.667117
\(472\) −8.40145 5.67679i −0.386708 0.261295i
\(473\) 23.0714 1.06082
\(474\) −2.52647 + 1.16887i −0.116044 + 0.0536879i
\(475\) −11.9015 4.01007i −0.546076 0.183995i
\(476\) −2.09271 + 2.46372i −0.0959190 + 0.112925i
\(477\) −0.123175 0.0741119i −0.00563980 0.00339335i
\(478\) 8.54037 0.928821i 0.390627 0.0424833i
\(479\) −0.845911 + 15.6019i −0.0386507 + 0.712870i 0.913425 + 0.407007i \(0.133428\pi\)
−0.952076 + 0.305863i \(0.901055\pi\)
\(480\) −1.81835 + 6.54911i −0.0829960 + 0.298925i
\(481\) 2.73460 + 2.07879i 0.124687 + 0.0947846i
\(482\) 0.308182 + 0.0335169i 0.0140373 + 0.00152665i
\(483\) 0.522767 3.18874i 0.0237867 0.145093i
\(484\) 16.9776 10.2151i 0.771708 0.464321i
\(485\) −24.0096 + 18.2517i −1.09022 + 0.828765i
\(486\) −0.125782 0.315689i −0.00570559 0.0143200i
\(487\) 1.96273 + 2.31070i 0.0889398 + 0.104708i 0.804832 0.593503i \(-0.202256\pi\)
−0.715892 + 0.698211i \(0.753980\pi\)
\(488\) 2.17849 + 13.2882i 0.0986158 + 0.601530i
\(489\) 1.16850 + 21.5517i 0.0528413 + 0.974600i
\(490\) −3.98127 0.876344i −0.179855 0.0395892i
\(491\) −25.7888 + 24.4285i −1.16383 + 1.10244i −0.170715 + 0.985320i \(0.554608\pi\)
−0.993118 + 0.117120i \(0.962634\pi\)
\(492\) 5.10417 1.71980i 0.230114 0.0775344i
\(493\) 5.36601 13.4677i 0.241673 0.606554i
\(494\) −0.785283 2.82833i −0.0353316 0.127253i
\(495\) −8.17010 + 1.79838i −0.367219 + 0.0808310i
\(496\) −12.6430 + 18.6470i −0.567686 + 0.837274i
\(497\) 0.0257324 + 0.0485365i 0.00115426 + 0.00217716i
\(498\) 2.33148 4.39764i 0.104476 0.197063i
\(499\) 12.8732 + 18.9865i 0.576282 + 0.849952i 0.998398 0.0565896i \(-0.0180227\pi\)
−0.422115 + 0.906542i \(0.638712\pi\)
\(500\) 16.6490 + 15.7707i 0.744564 + 0.705289i
\(501\) 2.23242 + 1.03283i 0.0997373 + 0.0461434i
\(502\) −4.10620 1.89973i −0.183269 0.0847892i
\(503\) −16.7973 15.9112i −0.748953 0.709446i 0.214678 0.976685i \(-0.431130\pi\)
−0.963630 + 0.267239i \(0.913889\pi\)
\(504\) −0.437517 0.645290i −0.0194886 0.0287435i
\(505\) −6.21464 + 11.7221i −0.276548 + 0.521625i
\(506\) −4.03945 7.61921i −0.179575 0.338715i
\(507\) −6.48522 + 9.56498i −0.288019 + 0.424796i
\(508\) 13.7746 3.03202i 0.611150 0.134524i
\(509\) −6.91967 24.9224i −0.306709 1.10467i −0.942884 0.333122i \(-0.891898\pi\)
0.636175 0.771545i \(-0.280516\pi\)
\(510\) 0.658884 1.65367i 0.0291759 0.0732259i
\(511\) −3.03468 + 1.02250i −0.134246 + 0.0452329i
\(512\) 15.4488 14.6338i 0.682745 0.646731i
\(513\) 7.02072 + 1.54538i 0.309972 + 0.0682301i
\(514\) −0.506072 9.33396i −0.0223219 0.411703i
\(515\) 3.90043 + 23.7916i 0.171873 + 1.04838i
\(516\) 6.06845 + 7.14433i 0.267148 + 0.314512i
\(517\) 10.6226 + 26.6606i 0.467180 + 1.17253i
\(518\) 0.456771 0.347228i 0.0200694 0.0152563i
\(519\) −8.12803 + 4.89048i −0.356781 + 0.214668i
\(520\) −0.462817 + 2.82306i −0.0202959 + 0.123799i
\(521\) 8.29815 + 0.902478i 0.363549 + 0.0395383i 0.288071 0.957609i \(-0.406986\pi\)
0.0754780 + 0.997147i \(0.475952\pi\)
\(522\) 1.35039 + 1.02654i 0.0591048 + 0.0449303i
\(523\) −9.18011 + 33.0638i −0.401418 + 1.44578i 0.436363 + 0.899771i \(0.356266\pi\)
−0.837781 + 0.546006i \(0.816147\pi\)
\(524\) 1.34571 24.8202i 0.0587878 1.08428i
\(525\) −1.02574 + 0.111556i −0.0447669 + 0.00486869i
\(526\) −7.82042 4.70539i −0.340987 0.205165i
\(527\) 12.7572 15.0190i 0.555714 0.654237i
\(528\) 14.5951 + 4.91766i 0.635170 + 0.214014i
\(529\) 6.29314 2.91152i 0.273615 0.126588i
\(530\) 0.0881070 0.00382712
\(531\) 6.35072 4.32069i 0.275598 0.187502i
\(532\) 8.00114 0.346893
\(533\) 3.11676 1.44197i 0.135002 0.0624586i
\(534\) −4.24481 1.43024i −0.183691 0.0618926i
\(535\) 8.29271 9.76293i 0.358525 0.422088i
\(536\) 5.92777 + 3.56662i 0.256041 + 0.154055i
\(537\) 7.25018 0.788504i 0.312868 0.0340265i
\(538\) 0.0874959 1.61377i 0.00377222 0.0695744i
\(539\) −8.25333 + 29.7258i −0.355496 + 1.28038i
\(540\) −2.70586 2.05694i −0.116442 0.0885168i
\(541\) 15.5001 + 1.68573i 0.666400 + 0.0724753i 0.435065 0.900399i \(-0.356725\pi\)
0.231335 + 0.972874i \(0.425691\pi\)
\(542\) −1.33047 + 8.11550i −0.0571485 + 0.348591i
\(543\) −2.12165 + 1.27655i −0.0910487 + 0.0547822i
\(544\) −8.71323 + 6.62362i −0.373577 + 0.283986i
\(545\) −5.78675 14.5237i −0.247877 0.622125i
\(546\) −0.156120 0.183799i −0.00668133 0.00786587i
\(547\) 4.33029 + 26.4136i 0.185150 + 1.12936i 0.901871 + 0.432005i \(0.142194\pi\)
−0.716721 + 0.697360i \(0.754358\pi\)
\(548\) −1.60638 29.6280i −0.0686213 1.26565i
\(549\) −9.96230 2.19287i −0.425181 0.0935894i
\(550\) −1.99914 + 1.89369i −0.0852438 + 0.0807472i
\(551\) −34.0051 + 11.4577i −1.44867 + 0.488113i
\(552\) 2.67324 6.70934i 0.113781 0.285568i
\(553\) −1.29432 4.66171i −0.0550400 0.198236i
\(554\) −2.24948 + 0.495149i −0.0955714 + 0.0210369i
\(555\) 2.89357 4.26769i 0.122825 0.181153i
\(556\) 17.7540 + 33.4876i 0.752938 + 1.42019i
\(557\) −16.8261 + 31.7375i −0.712946 + 1.34476i 0.216676 + 0.976244i \(0.430479\pi\)
−0.929622 + 0.368515i \(0.879866\pi\)
\(558\) 1.29392 + 1.90839i 0.0547759 + 0.0807884i
\(559\) 4.33904 + 4.11015i 0.183522 + 0.173841i
\(560\) −3.21009 1.48514i −0.135651 0.0627588i
\(561\) −12.2262 5.65645i −0.516191 0.238815i
\(562\) −1.60747 1.52268i −0.0678071 0.0642303i
\(563\) 0.823636 + 1.21477i 0.0347121 + 0.0511965i 0.844649 0.535320i \(-0.179809\pi\)
−0.809937 + 0.586517i \(0.800499\pi\)
\(564\) −5.46174 + 10.3019i −0.229981 + 0.433789i
\(565\) −5.34824 10.0879i −0.225002 0.424399i
\(566\) 0.571835 0.843394i 0.0240360 0.0354505i
\(567\) 0.576794 0.126962i 0.0242231 0.00533191i
\(568\) 0.0328491 + 0.118312i 0.00137832 + 0.00496425i
\(569\) 9.04088 22.6909i 0.379013 0.951252i −0.608477 0.793572i \(-0.708219\pi\)
0.987490 0.157680i \(-0.0504015\pi\)
\(570\) −4.17544 + 1.40687i −0.174890 + 0.0589272i
\(571\) −23.1990 + 21.9752i −0.970847 + 0.919635i −0.996793 0.0800285i \(-0.974499\pi\)
0.0259459 + 0.999663i \(0.491740\pi\)
\(572\) 10.2573 + 2.25780i 0.428879 + 0.0944033i
\(573\) −0.128923 2.37785i −0.00538584 0.0993360i
\(574\) −0.0928016 0.566065i −0.00387347 0.0236271i
\(575\) −6.18787 7.28492i −0.258052 0.303802i
\(576\) 1.98404 + 4.97957i 0.0826685 + 0.207482i
\(577\) 1.00818 0.766401i 0.0419712 0.0319057i −0.583978 0.811769i \(-0.698505\pi\)
0.625950 + 0.779864i \(0.284712\pi\)
\(578\) −2.49390 + 1.50053i −0.103732 + 0.0624137i
\(579\) 1.51545 9.24384i 0.0629799 0.384161i
\(580\) 16.8666 + 1.83435i 0.700348 + 0.0761674i
\(581\) 6.88670 + 5.23513i 0.285708 + 0.217190i
\(582\) 1.52022 5.47532i 0.0630149 0.226959i
\(583\) 0.0360981 0.665790i 0.00149503 0.0275742i
\(584\) −7.11553 + 0.773861i −0.294443 + 0.0320226i
\(585\) −1.85693 1.11728i −0.0767746 0.0461938i
\(586\) −3.03213 + 3.56969i −0.125256 + 0.147463i
\(587\) 30.1935 + 10.1734i 1.24622 + 0.419901i 0.863681 0.504038i \(-0.168153\pi\)
0.382540 + 0.923939i \(0.375050\pi\)
\(588\) −11.3758 + 5.26301i −0.469131 + 0.217043i
\(589\) −48.7753 −2.00975
\(590\) −1.96996 + 4.27587i −0.0811019 + 0.176035i
\(591\) 12.7683 0.525217
\(592\) −8.61517 + 3.98580i −0.354081 + 0.163816i
\(593\) 8.45365 + 2.84837i 0.347150 + 0.116968i 0.487475 0.873137i \(-0.337918\pi\)
−0.140325 + 0.990106i \(0.544815\pi\)
\(594\) 1.02042 1.20133i 0.0418683 0.0492912i
\(595\) 2.65090 + 1.59500i 0.108676 + 0.0653885i
\(596\) 20.9859 2.28235i 0.859615 0.0934888i
\(597\) 0.966702 17.8298i 0.0395645 0.729724i
\(598\) 0.597658 2.15257i 0.0244401 0.0880252i
\(599\) −35.3521 26.8740i −1.44445 1.09804i −0.976807 0.214122i \(-0.931311\pi\)
−0.467641 0.883919i \(-0.654896\pi\)
\(600\) −2.29263 0.249338i −0.0935962 0.0101792i
\(601\) 4.04463 24.6711i 0.164984 1.00636i −0.766412 0.642349i \(-0.777960\pi\)
0.931396 0.364008i \(-0.118592\pi\)
\(602\) 0.855406 0.514680i 0.0348637 0.0209768i
\(603\) −4.17210 + 3.17155i −0.169901 + 0.129155i
\(604\) 5.03704 + 12.6420i 0.204954 + 0.514396i
\(605\) −12.2764 14.4529i −0.499107 0.587594i
\(606\) −0.404422 2.46687i −0.0164285 0.100210i
\(607\) −1.10543 20.3885i −0.0448680 0.827542i −0.931204 0.364499i \(-0.881240\pi\)
0.886336 0.463043i \(-0.153243\pi\)
\(608\) 26.4575 + 5.82373i 1.07299 + 0.236183i
\(609\) −2.14027 + 2.02737i −0.0867281 + 0.0821532i
\(610\) 5.92488 1.99633i 0.239891 0.0808289i
\(611\) −2.75179 + 6.90647i −0.111325 + 0.279406i
\(612\) −1.46426 5.27380i −0.0591893 0.213181i
\(613\) 46.4128 10.2162i 1.87459 0.412629i 0.876910 0.480655i \(-0.159601\pi\)
0.997684 + 0.0680256i \(0.0216699\pi\)
\(614\) 3.83024 5.64918i 0.154576 0.227982i
\(615\) −2.41458 4.55438i −0.0973652 0.183650i
\(616\) 1.69384 3.19492i 0.0682468 0.128727i
\(617\) 25.5728 + 37.7171i 1.02952 + 1.51843i 0.844396 + 0.535720i \(0.179960\pi\)
0.185128 + 0.982714i \(0.440730\pi\)
\(618\) −3.29784 3.12388i −0.132659 0.125661i
\(619\) −16.4267 7.59981i −0.660245 0.305462i 0.0610041 0.998138i \(-0.480570\pi\)
−0.721249 + 0.692676i \(0.756432\pi\)
\(620\) 20.9300 + 9.68324i 0.840568 + 0.388888i
\(621\) 3.97207 + 3.76254i 0.159393 + 0.150986i
\(622\) 2.17562 + 3.20880i 0.0872345 + 0.128661i
\(623\) 3.64648 6.87799i 0.146093 0.275561i
\(624\) 1.86882 + 3.52497i 0.0748127 + 0.141112i
\(625\) 7.41492 10.9362i 0.296597 0.437448i
\(626\) 6.05031 1.33177i 0.241819 0.0532284i
\(627\) 8.92043 + 32.1285i 0.356248 + 1.28309i
\(628\) 10.0990 25.3465i 0.402993 1.01144i
\(629\) 7.86833 2.65115i 0.313731 0.105708i
\(630\) −0.262800 + 0.248938i −0.0104702 + 0.00991791i
\(631\) 8.69682 + 1.91432i 0.346215 + 0.0762077i 0.384674 0.923052i \(-0.374314\pi\)
−0.0384590 + 0.999260i \(0.512245\pi\)
\(632\) −0.585433 10.7977i −0.0232873 0.429509i
\(633\) −0.213185 1.30037i −0.00847334 0.0516851i
\(634\) 6.28214 + 7.39591i 0.249496 + 0.293729i
\(635\) −4.99642 12.5401i −0.198277 0.497637i
\(636\) 0.215664 0.163944i 0.00855165 0.00650080i
\(637\) −6.84784 + 4.12021i −0.271321 + 0.163249i
\(638\) −1.27287 + 7.76417i −0.0503935 + 0.307386i
\(639\) −0.0924715 0.0100569i −0.00365811 0.000397844i
\(640\) −13.4373 10.2148i −0.531156 0.403775i
\(641\) 8.02690 28.9103i 0.317044 1.14189i −0.617656 0.786448i \(-0.711918\pi\)
0.934699 0.355439i \(-0.115669\pi\)
\(642\) −0.130664 + 2.40996i −0.00515690 + 0.0951133i
\(643\) −11.3074 + 1.22975i −0.445920 + 0.0484967i −0.328325 0.944565i \(-0.606484\pi\)
−0.117595 + 0.993062i \(0.537519\pi\)
\(644\) 5.21779 + 3.13944i 0.205610 + 0.123711i
\(645\) 5.80789 6.83758i 0.228686 0.269229i
\(646\) −6.72371 2.26548i −0.264541 0.0891342i
\(647\) −3.45176 + 1.59695i −0.135703 + 0.0627827i −0.486565 0.873644i \(-0.661750\pi\)
0.350863 + 0.936427i \(0.385888\pi\)
\(648\) 1.32006 0.0518567
\(649\) 31.5040 + 16.6380i 1.23664 + 0.653100i
\(650\) −0.713338 −0.0279794
\(651\) −3.63682 + 1.68257i −0.142538 + 0.0659452i
\(652\) −38.5450 12.9873i −1.50954 0.508623i
\(653\) −4.53551 + 5.33962i −0.177488 + 0.208955i −0.843711 0.536797i \(-0.819634\pi\)
0.666223 + 0.745753i \(0.267910\pi\)
\(654\) 2.52402 + 1.51865i 0.0986970 + 0.0593840i
\(655\) −23.6500 + 2.57209i −0.924081 + 0.100500i
\(656\) −0.513785 + 9.47621i −0.0200600 + 0.369984i
\(657\) 1.45057 5.22448i 0.0565921 0.203826i
\(658\) 0.988598 + 0.751512i 0.0385395 + 0.0292970i
\(659\) −49.9725 5.43484i −1.94665 0.211711i −0.951320 0.308204i \(-0.900272\pi\)
−0.995334 + 0.0964929i \(0.969238\pi\)
\(660\) 2.55054 15.5576i 0.0992797 0.605579i
\(661\) −6.81240 + 4.09889i −0.264972 + 0.159428i −0.641840 0.766839i \(-0.721829\pi\)
0.376868 + 0.926267i \(0.377001\pi\)
\(662\) −4.32000 + 3.28397i −0.167901 + 0.127635i
\(663\) −1.29169 3.24190i −0.0501651 0.125905i
\(664\) 12.5172 + 14.7364i 0.485762 + 0.571883i
\(665\) −1.23886 7.55672i −0.0480410 0.293037i
\(666\) 0.0525955 + 0.970067i 0.00203803 + 0.0375893i
\(667\) −26.6715 5.87084i −1.03272 0.227320i
\(668\) −3.36534 + 3.18781i −0.130209 + 0.123340i
\(669\) 18.9231 6.37592i 0.731608 0.246507i
\(670\) 1.18892 2.98395i 0.0459318 0.115280i
\(671\) −12.6580 45.5899i −0.488655 1.75998i
\(672\) 2.17364 0.478454i 0.0838500 0.0184568i
\(673\) 17.1236 25.2554i 0.660065 0.973524i −0.339394 0.940644i \(-0.610222\pi\)
0.999459 0.0328793i \(-0.0104677\pi\)
\(674\) 1.87486 + 3.53637i 0.0722171 + 0.136216i
\(675\) 0.818313 1.54350i 0.0314969 0.0594094i
\(676\) −12.2215 18.0254i −0.470058 0.693284i
\(677\) −4.71174 4.46320i −0.181087 0.171535i 0.591787 0.806095i \(-0.298423\pi\)
−0.772874 + 0.634560i \(0.781181\pi\)
\(678\) 1.95246 + 0.903305i 0.0749839 + 0.0346912i
\(679\) 8.96310 + 4.14677i 0.343972 + 0.159139i
\(680\) 5.02015 + 4.75534i 0.192514 + 0.182359i
\(681\) −13.4073 19.7743i −0.513769 0.757752i
\(682\) −5.00938 + 9.44869i −0.191819 + 0.361809i
\(683\) 7.06381 + 13.3238i 0.270289 + 0.509819i 0.981085 0.193579i \(-0.0620097\pi\)
−0.710795 + 0.703399i \(0.751665\pi\)
\(684\) −7.60263 + 11.2130i −0.290694 + 0.428742i
\(685\) −27.7336 + 6.10463i −1.05965 + 0.233246i
\(686\) 0.732977 + 2.63995i 0.0279852 + 0.100794i
\(687\) 0.993410 2.49327i 0.0379010 0.0951242i
\(688\) −15.6516 + 5.27365i −0.596713 + 0.201056i
\(689\) 0.125399 0.118784i 0.00477732 0.00452532i
\(690\) −3.27495 0.720871i −0.124675 0.0274431i
\(691\) −1.11238 20.5167i −0.0423171 0.780492i −0.940276 0.340413i \(-0.889433\pi\)
0.897959 0.440079i \(-0.145050\pi\)
\(692\) −2.89206 17.6408i −0.109940 0.670603i
\(693\) 1.77345 + 2.08787i 0.0673678 + 0.0793115i
\(694\) −3.98702 10.0067i −0.151345 0.379848i
\(695\) 28.8786 21.9530i 1.09543 0.832723i
\(696\) −5.64599 + 3.39708i −0.214011 + 0.128766i
\(697\) 1.34293 8.19153i 0.0508672 0.310276i
\(698\) −5.54534 0.603092i −0.209894 0.0228274i
\(699\) −2.16325 1.64446i −0.0818215 0.0621991i
\(700\) 0.520188 1.87355i 0.0196613 0.0708135i
\(701\) −1.83599 + 33.8628i −0.0693443 + 1.27898i 0.732219 + 0.681070i \(0.238485\pi\)
−0.801563 + 0.597911i \(0.795998\pi\)
\(702\) 0.405926 0.0441472i 0.0153207 0.00166623i
\(703\) −17.6096 10.5953i −0.664157 0.399610i
\(704\) −16.0957 + 18.9494i −0.606631 + 0.714181i
\(705\) 10.5754 + 3.56326i 0.398292 + 0.134200i
\(706\) 3.20974 1.48498i 0.120800 0.0558881i
\(707\) 4.34455 0.163394
\(708\) 3.13429 + 14.1319i 0.117794 + 0.531108i
\(709\) −29.7363 −1.11677 −0.558385 0.829582i \(-0.688579\pi\)
−0.558385 + 0.829582i \(0.688579\pi\)
\(710\) 0.0517416 0.0239382i 0.00194183 0.000898386i
\(711\) 7.76292 + 2.61563i 0.291132 + 0.0980939i
\(712\) 11.2644 13.2615i 0.422153 0.496996i
\(713\) −31.8079 19.1382i −1.19122 0.716730i
\(714\) −0.579490 + 0.0630233i −0.0216869 + 0.00235859i
\(715\) 0.544198 10.0371i 0.0203519 0.375368i
\(716\) −3.67682 + 13.2427i −0.137409 + 0.494903i
\(717\) −20.1251 15.2987i −0.751587 0.571342i
\(718\) −4.87695 0.530401i −0.182006 0.0197944i
\(719\) −6.56081 + 40.0192i −0.244677 + 1.49246i 0.523389 + 0.852094i \(0.324667\pi\)
−0.768066 + 0.640370i \(0.778781\pi\)
\(720\) 5.13153 3.08754i 0.191241 0.115066i
\(721\) 6.28492 4.77767i 0.234063 0.177930i
\(722\) 4.11040 + 10.3163i 0.152973 + 0.383934i
\(723\) −0.590568 0.695270i −0.0219635 0.0258574i
\(724\) −0.754912 4.60476i −0.0280561 0.171134i
\(725\) 0.472110 + 8.70756i 0.0175337 + 0.323391i
\(726\) 3.48937 + 0.768069i 0.129503 + 0.0285057i
\(727\) −1.64918 + 1.56218i −0.0611646 + 0.0579381i −0.717671 0.696382i \(-0.754792\pi\)
0.656507 + 0.754320i \(0.272033\pi\)
\(728\) 0.887734 0.299112i 0.0329016 0.0110858i
\(729\) −0.370138 + 0.928977i −0.0137088 + 0.0344065i
\(730\) 0.889067 + 3.20213i 0.0329059 + 0.118516i
\(731\) 14.1087 3.10557i 0.521831 0.114864i
\(732\) 10.7880 15.9112i 0.398737 0.588093i
\(733\) −10.2347 19.3046i −0.378026 0.713032i 0.619374 0.785096i \(-0.287386\pi\)
−0.997400 + 0.0720636i \(0.977042\pi\)
\(734\) −0.321874 + 0.607119i −0.0118806 + 0.0224092i
\(735\) 6.73207 + 9.92906i 0.248316 + 0.366239i
\(736\) 14.9687 + 14.1791i 0.551752 + 0.522647i
\(737\) −22.0614 10.2067i −0.812644 0.375969i
\(738\) 0.881481 + 0.407816i 0.0324478 + 0.0150119i
\(739\) 8.08024 + 7.65401i 0.297236 + 0.281557i 0.821754 0.569842i \(-0.192996\pi\)
−0.524518 + 0.851400i \(0.675754\pi\)
\(740\) 5.45298 + 8.04254i 0.200456 + 0.295650i
\(741\) −4.04600 + 7.63157i −0.148634 + 0.280353i
\(742\) −0.0135142 0.0254904i −0.000496120 0.000935782i
\(743\) 29.3598 43.3025i 1.07711 1.58862i 0.305865 0.952075i \(-0.401054\pi\)
0.771243 0.636541i \(-0.219635\pi\)
\(744\) −8.74706 + 1.92537i −0.320683 + 0.0705876i
\(745\) −5.40495 19.4669i −0.198022 0.713210i
\(746\) 3.07196 7.71004i 0.112472 0.282285i
\(747\) −13.8804 + 4.67684i −0.507856 + 0.171117i
\(748\) 18.4308 17.4586i 0.673896 0.638348i
\(749\) −4.09650 0.901707i −0.149683 0.0329477i
\(750\) 0.223881 + 4.12924i 0.00817498 + 0.150779i
\(751\) −1.96424 11.9814i −0.0716762 0.437206i −0.998148 0.0608402i \(-0.980622\pi\)
0.926471 0.376365i \(-0.122826\pi\)
\(752\) −13.3004 15.6585i −0.485017 0.571006i
\(753\) 4.92795 + 12.3682i 0.179585 + 0.450723i
\(754\) −1.62257 + 1.23345i −0.0590905 + 0.0449195i
\(755\) 11.1599 6.71470i 0.406151 0.244373i
\(756\) −0.180064 + 1.09834i −0.00654885 + 0.0399462i
\(757\) −0.614104 0.0667878i −0.0223200 0.00242744i 0.0969522 0.995289i \(-0.469091\pi\)
−0.119272 + 0.992862i \(0.538056\pi\)
\(758\) −9.80572 7.45411i −0.356160 0.270746i
\(759\) −6.78910 + 24.4521i −0.246429 + 0.887557i
\(760\) 0.926614 17.0904i 0.0336118 0.619934i
\(761\) −22.5970 + 2.45757i −0.819140 + 0.0890868i −0.508087 0.861306i \(-0.669647\pi\)
−0.311053 + 0.950393i \(0.600682\pi\)
\(762\) 2.17930 + 1.31124i 0.0789477 + 0.0475012i
\(763\) −3.31427 + 3.90187i −0.119985 + 0.141257i
\(764\) 4.25277 + 1.43292i 0.153860 + 0.0518414i
\(765\) −4.75415 + 2.19950i −0.171887 + 0.0795233i
\(766\) 12.5863 0.454762
\(767\) 2.96089 + 8.74153i 0.106912 + 0.315638i
\(768\) −7.54030 −0.272087
\(769\) 15.5581 7.19796i 0.561040 0.259565i −0.118808 0.992917i \(-0.537907\pi\)
0.679849 + 0.733352i \(0.262045\pi\)
\(770\) −1.59111 0.536109i −0.0573398 0.0193200i
\(771\) −17.8079 + 20.9650i −0.641334 + 0.755037i
\(772\) 15.1259 + 9.10093i