Properties

Label 192.2.s.a.59.13
Level $192$
Weight $2$
Character 192.59
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 59.13
Character \(\chi\) \(=\) 192.59
Dual form 192.2.s.a.179.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.306460 + 1.38061i) q^{2} +(-1.12690 - 1.31533i) q^{3} +(-1.81216 - 0.846204i) q^{4} +(-0.193910 + 0.974852i) q^{5} +(2.16130 - 1.15272i) q^{6} +(3.70761 + 1.53574i) q^{7} +(1.72363 - 2.24256i) q^{8} +(-0.460173 + 2.96450i) q^{9} +O(q^{10})\) \(q+(-0.306460 + 1.38061i) q^{2} +(-1.12690 - 1.31533i) q^{3} +(-1.81216 - 0.846204i) q^{4} +(-0.193910 + 0.974852i) q^{5} +(2.16130 - 1.15272i) q^{6} +(3.70761 + 1.53574i) q^{7} +(1.72363 - 2.24256i) q^{8} +(-0.460173 + 2.96450i) q^{9} +(-1.28646 - 0.566468i) q^{10} +(2.91108 + 4.35674i) q^{11} +(0.929101 + 3.33718i) q^{12} +(-4.94964 + 0.984544i) q^{13} +(-3.25650 + 4.64812i) q^{14} +(1.50077 - 0.843510i) q^{15} +(2.56788 + 3.06692i) q^{16} +(0.683765 + 0.683765i) q^{17} +(-3.95179 - 1.54382i) q^{18} +(2.19880 - 0.437368i) q^{19} +(1.17632 - 1.60251i) q^{20} +(-2.15812 - 6.60736i) q^{21} +(-6.90709 + 2.68390i) q^{22} +(5.93261 - 2.45737i) q^{23} +(-4.89207 + 0.260013i) q^{24} +(3.70666 + 1.53535i) q^{25} +(0.157596 - 7.13524i) q^{26} +(4.41786 - 2.73543i) q^{27} +(-5.41925 - 5.92041i) q^{28} +(-3.04078 - 2.03178i) q^{29} +(0.704632 + 2.33048i) q^{30} -6.01645 q^{31} +(-5.02117 + 2.60535i) q^{32} +(2.45003 - 8.73866i) q^{33} +(-1.15356 + 0.734465i) q^{34} +(-2.21607 + 3.31658i) q^{35} +(3.34248 - 4.98275i) q^{36} +(-1.17177 + 5.89086i) q^{37} +(-0.0700094 + 3.16971i) q^{38} +(6.87277 + 5.40091i) q^{39} +(1.85194 + 2.11514i) q^{40} +(-2.28094 - 5.50667i) q^{41} +(9.78356 - 0.954626i) q^{42} +(-4.39265 - 6.57407i) q^{43} +(-1.58867 - 10.3585i) q^{44} +(-2.80071 - 1.02345i) q^{45} +(1.57456 + 8.94371i) q^{46} +(-0.410028 + 0.410028i) q^{47} +(1.14025 - 6.83373i) q^{48} +(6.43813 + 6.43813i) q^{49} +(-3.25566 + 4.64693i) q^{50} +(0.128837 - 1.66991i) q^{51} +(9.80268 + 2.40425i) q^{52} +(3.47118 - 2.31937i) q^{53} +(2.42266 + 6.93763i) q^{54} +(-4.81167 + 1.99306i) q^{55} +(9.83456 - 5.66750i) q^{56} +(-3.05311 - 2.39927i) q^{57} +(3.73697 - 3.57546i) q^{58} +(-0.669452 - 0.133162i) q^{59} +(-3.43342 + 0.258623i) q^{60} +(-1.32504 - 0.885363i) q^{61} +(1.84380 - 8.30637i) q^{62} +(-6.25885 + 10.2845i) q^{63} +(-2.05818 - 7.73071i) q^{64} -5.01608i q^{65} +(11.3138 + 6.06059i) q^{66} +(5.83232 - 8.72868i) q^{67} +(-0.660490 - 1.81770i) q^{68} +(-9.91773 - 5.03411i) q^{69} +(-3.89976 - 4.07592i) q^{70} +(-2.48885 + 6.00860i) q^{71} +(5.85490 + 6.14167i) q^{72} +(-0.0562858 - 0.135886i) q^{73} +(-7.77388 - 3.42306i) q^{74} +(-2.15757 - 6.60567i) q^{75} +(-4.35468 - 1.06805i) q^{76} +(4.10233 + 20.6238i) q^{77} +(-9.56278 + 7.83344i) q^{78} +(0.732784 - 0.732784i) q^{79} +(-3.48773 + 1.90860i) q^{80} +(-8.57648 - 2.72836i) q^{81} +(8.30157 - 1.46151i) q^{82} +(1.38633 + 6.96953i) q^{83} +(-1.68031 + 13.7998i) q^{84} +(-0.799159 + 0.533981i) q^{85} +(10.4224 - 4.04985i) q^{86} +(0.754205 + 6.28924i) q^{87} +(14.7879 + 0.981137i) q^{88} +(-3.52518 + 8.51054i) q^{89} +(2.27129 - 3.55305i) q^{90} +(-19.8633 - 3.95106i) q^{91} +(-12.8303 - 0.567042i) q^{92} +(6.77997 + 7.91361i) q^{93} +(-0.440431 - 0.691746i) q^{94} +2.22831i q^{95} +(9.08527 + 3.66850i) q^{96} -7.20955i q^{97} +(-10.8616 + 6.91551i) q^{98} +(-14.2552 + 6.62504i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.306460 + 1.38061i −0.216700 + 0.976238i
\(3\) −1.12690 1.31533i −0.650619 0.759405i
\(4\) −1.81216 0.846204i −0.906082 0.423102i
\(5\) −0.193910 + 0.974852i −0.0867193 + 0.435967i 0.912895 + 0.408194i \(0.133841\pi\)
−0.999614 + 0.0277727i \(0.991159\pi\)
\(6\) 2.16130 1.15272i 0.882349 0.470596i
\(7\) 3.70761 + 1.53574i 1.40135 + 0.580456i 0.950100 0.311944i \(-0.100980\pi\)
0.451245 + 0.892400i \(0.350980\pi\)
\(8\) 1.72363 2.24256i 0.609396 0.792866i
\(9\) −0.460173 + 2.96450i −0.153391 + 0.988166i
\(10\) −1.28646 0.566468i −0.406816 0.179133i
\(11\) 2.91108 + 4.35674i 0.877724 + 1.31361i 0.948716 + 0.316130i \(0.102384\pi\)
−0.0709914 + 0.997477i \(0.522616\pi\)
\(12\) 0.929101 + 3.33718i 0.268208 + 0.963361i
\(13\) −4.94964 + 0.984544i −1.37278 + 0.273063i −0.825745 0.564044i \(-0.809245\pi\)
−0.547038 + 0.837108i \(0.684245\pi\)
\(14\) −3.25650 + 4.64812i −0.870335 + 1.24226i
\(15\) 1.50077 0.843510i 0.387497 0.217793i
\(16\) 2.56788 + 3.06692i 0.641970 + 0.766730i
\(17\) 0.683765 + 0.683765i 0.165837 + 0.165837i 0.785147 0.619310i \(-0.212587\pi\)
−0.619310 + 0.785147i \(0.712587\pi\)
\(18\) −3.95179 1.54382i −0.931445 0.363882i
\(19\) 2.19880 0.437368i 0.504438 0.100339i 0.0636900 0.997970i \(-0.479713\pi\)
0.440748 + 0.897631i \(0.354713\pi\)
\(20\) 1.17632 1.60251i 0.263033 0.358331i
\(21\) −2.15812 6.60736i −0.470940 1.44184i
\(22\) −6.90709 + 2.68390i −1.47260 + 0.572209i
\(23\) 5.93261 2.45737i 1.23704 0.512397i 0.334248 0.942485i \(-0.391518\pi\)
0.902787 + 0.430088i \(0.141518\pi\)
\(24\) −4.89207 + 0.260013i −0.998591 + 0.0530749i
\(25\) 3.70666 + 1.53535i 0.741332 + 0.307070i
\(26\) 0.157596 7.13524i 0.0309071 1.39934i
\(27\) 4.41786 2.73543i 0.850217 0.526433i
\(28\) −5.41925 5.92041i −1.02414 1.11885i
\(29\) −3.04078 2.03178i −0.564658 0.377292i 0.240233 0.970715i \(-0.422776\pi\)
−0.804891 + 0.593423i \(0.797776\pi\)
\(30\) 0.704632 + 2.33048i 0.128648 + 0.425485i
\(31\) −6.01645 −1.08059 −0.540294 0.841477i \(-0.681687\pi\)
−0.540294 + 0.841477i \(0.681687\pi\)
\(32\) −5.02117 + 2.60535i −0.887626 + 0.460565i
\(33\) 2.45003 8.73866i 0.426496 1.52121i
\(34\) −1.15356 + 0.734465i −0.197834 + 0.125960i
\(35\) −2.21607 + 3.31658i −0.374584 + 0.560604i
\(36\) 3.34248 4.98275i 0.557080 0.830459i
\(37\) −1.17177 + 5.89086i −0.192637 + 0.968452i 0.756597 + 0.653881i \(0.226860\pi\)
−0.949234 + 0.314570i \(0.898140\pi\)
\(38\) −0.0700094 + 3.16971i −0.0113570 + 0.514195i
\(39\) 6.87277 + 5.40091i 1.10052 + 0.864838i
\(40\) 1.85194 + 2.11514i 0.292817 + 0.334433i
\(41\) −2.28094 5.50667i −0.356222 0.859997i −0.995824 0.0912906i \(-0.970901\pi\)
0.639602 0.768706i \(-0.279099\pi\)
\(42\) 9.78356 0.954626i 1.50964 0.147302i
\(43\) −4.39265 6.57407i −0.669873 1.00254i −0.998316 0.0580124i \(-0.981524\pi\)
0.328442 0.944524i \(-0.393476\pi\)
\(44\) −1.58867 10.3585i −0.239501 1.56160i
\(45\) −2.80071 1.02345i −0.417506 0.152566i
\(46\) 1.57456 + 8.94371i 0.232156 + 1.31868i
\(47\) −0.410028 + 0.410028i −0.0598087 + 0.0598087i −0.736379 0.676570i \(-0.763466\pi\)
0.676570 + 0.736379i \(0.263466\pi\)
\(48\) 1.14025 6.83373i 0.164581 0.986364i
\(49\) 6.43813 + 6.43813i 0.919732 + 0.919732i
\(50\) −3.25566 + 4.64693i −0.460420 + 0.657175i
\(51\) 0.128837 1.66991i 0.0180408 0.233834i
\(52\) 9.80268 + 2.40425i 1.35939 + 0.333409i
\(53\) 3.47118 2.31937i 0.476803 0.318590i −0.293842 0.955854i \(-0.594934\pi\)
0.770645 + 0.637264i \(0.219934\pi\)
\(54\) 2.42266 + 6.93763i 0.329682 + 0.944092i
\(55\) −4.81167 + 1.99306i −0.648805 + 0.268744i
\(56\) 9.83456 5.66750i 1.31420 0.757351i
\(57\) −3.05311 2.39927i −0.404395 0.317790i
\(58\) 3.73697 3.57546i 0.490689 0.469482i
\(59\) −0.669452 0.133162i −0.0871552 0.0173363i 0.151320 0.988485i \(-0.451648\pi\)
−0.238475 + 0.971149i \(0.576648\pi\)
\(60\) −3.43342 + 0.258623i −0.443253 + 0.0333881i
\(61\) −1.32504 0.885363i −0.169654 0.113359i 0.467845 0.883811i \(-0.345031\pi\)
−0.637498 + 0.770452i \(0.720031\pi\)
\(62\) 1.84380 8.30637i 0.234163 1.05491i
\(63\) −6.25885 + 10.2845i −0.788541 + 1.29572i
\(64\) −2.05818 7.73071i −0.257273 0.966339i
\(65\) 5.01608i 0.622168i
\(66\) 11.3138 + 6.06059i 1.39264 + 0.746007i
\(67\) 5.83232 8.72868i 0.712531 1.06638i −0.281740 0.959491i \(-0.590912\pi\)
0.994271 0.106887i \(-0.0340884\pi\)
\(68\) −0.660490 1.81770i −0.0800962 0.220428i
\(69\) −9.91773 5.03411i −1.19395 0.606036i
\(70\) −3.89976 4.07592i −0.466111 0.487166i
\(71\) −2.48885 + 6.00860i −0.295372 + 0.713090i 0.704622 + 0.709583i \(0.251116\pi\)
−0.999994 + 0.00350749i \(0.998884\pi\)
\(72\) 5.85490 + 6.14167i 0.690007 + 0.723803i
\(73\) −0.0562858 0.135886i −0.00658776 0.0159043i 0.920551 0.390621i \(-0.127740\pi\)
−0.927139 + 0.374717i \(0.877740\pi\)
\(74\) −7.77388 3.42306i −0.903695 0.397923i
\(75\) −2.15757 6.60567i −0.249134 0.762757i
\(76\) −4.35468 1.06805i −0.499516 0.122513i
\(77\) 4.10233 + 20.6238i 0.467503 + 2.35030i
\(78\) −9.56278 + 7.83344i −1.08277 + 0.886963i
\(79\) 0.732784 0.732784i 0.0824446 0.0824446i −0.664682 0.747127i \(-0.731433\pi\)
0.747127 + 0.664682i \(0.231433\pi\)
\(80\) −3.48773 + 1.90860i −0.389940 + 0.213388i
\(81\) −8.57648 2.72836i −0.952942 0.303152i
\(82\) 8.30157 1.46151i 0.916755 0.161397i
\(83\) 1.38633 + 6.96953i 0.152169 + 0.765006i 0.979208 + 0.202860i \(0.0650238\pi\)
−0.827039 + 0.562145i \(0.809976\pi\)
\(84\) −1.68031 + 13.7998i −0.183336 + 1.50568i
\(85\) −0.799159 + 0.533981i −0.0866809 + 0.0579183i
\(86\) 10.4224 4.04985i 1.12388 0.436706i
\(87\) 0.754205 + 6.28924i 0.0808593 + 0.674277i
\(88\) 14.7879 + 0.981137i 1.57640 + 0.104590i
\(89\) −3.52518 + 8.51054i −0.373669 + 0.902116i 0.619454 + 0.785033i \(0.287354\pi\)
−0.993122 + 0.117083i \(0.962646\pi\)
\(90\) 2.27129 3.55305i 0.239415 0.374524i
\(91\) −19.8633 3.95106i −2.08224 0.414184i
\(92\) −12.8303 0.567042i −1.33765 0.0591182i
\(93\) 6.77997 + 7.91361i 0.703050 + 0.820603i
\(94\) −0.440431 0.691746i −0.0454270 0.0713481i
\(95\) 2.22831i 0.228620i
\(96\) 9.08527 + 3.66850i 0.927261 + 0.374415i
\(97\) 7.20955i 0.732019i −0.930611 0.366009i \(-0.880724\pi\)
0.930611 0.366009i \(-0.119276\pi\)
\(98\) −10.8616 + 6.91551i −1.09718 + 0.698572i
\(99\) −14.2552 + 6.62504i −1.43270 + 0.665841i
\(100\) −5.41786 5.91890i −0.541786 0.591890i
\(101\) −10.0719 2.00343i −1.00219 0.199349i −0.333390 0.942789i \(-0.608193\pi\)
−0.668802 + 0.743440i \(0.733193\pi\)
\(102\) 2.26601 + 0.689635i 0.224369 + 0.0682841i
\(103\) 3.84510 9.28290i 0.378869 0.914672i −0.613309 0.789843i \(-0.710162\pi\)
0.992178 0.124828i \(-0.0398381\pi\)
\(104\) −6.32346 + 12.7969i −0.620066 + 1.25484i
\(105\) 6.85968 0.822612i 0.669436 0.0802787i
\(106\) 2.13836 + 5.50314i 0.207696 + 0.534512i
\(107\) 15.0307 10.0432i 1.45307 0.970911i 0.456367 0.889792i \(-0.349151\pi\)
0.996704 0.0811191i \(-0.0258494\pi\)
\(108\) −10.3206 + 1.21864i −0.993101 + 0.117263i
\(109\) −1.13131 5.68748i −0.108360 0.544762i −0.996384 0.0849650i \(-0.972922\pi\)
0.888024 0.459797i \(-0.152078\pi\)
\(110\) −1.27705 7.25383i −0.121762 0.691625i
\(111\) 9.06888 5.09718i 0.860780 0.483803i
\(112\) 4.81070 + 15.3145i 0.454568 + 1.44709i
\(113\) 7.57068 7.57068i 0.712190 0.712190i −0.254803 0.966993i \(-0.582011\pi\)
0.966993 + 0.254803i \(0.0820107\pi\)
\(114\) 4.24811 3.47988i 0.397872 0.325921i
\(115\) 1.24518 + 6.25993i 0.116113 + 0.583741i
\(116\) 3.79109 + 6.25504i 0.351994 + 0.580766i
\(117\) −0.640987 15.1262i −0.0592592 1.39842i
\(118\) 0.389006 0.883443i 0.0358109 0.0813275i
\(119\) 1.48505 + 3.58522i 0.136134 + 0.328657i
\(120\) 0.695149 4.81947i 0.0634581 0.439955i
\(121\) −6.29729 + 15.2030i −0.572481 + 1.38209i
\(122\) 1.62841 1.55803i 0.147429 0.141058i
\(123\) −4.67267 + 9.20566i −0.421321 + 0.830047i
\(124\) 10.9028 + 5.09115i 0.979101 + 0.457198i
\(125\) −4.97655 + 7.44793i −0.445116 + 0.666163i
\(126\) −12.2808 11.7928i −1.09406 1.05059i
\(127\) 4.30331i 0.381857i −0.981604 0.190928i \(-0.938850\pi\)
0.981604 0.190928i \(-0.0611498\pi\)
\(128\) 11.3038 0.472389i 0.999128 0.0417537i
\(129\) −3.69696 + 13.1861i −0.325499 + 1.16097i
\(130\) 6.92525 + 1.53723i 0.607384 + 0.134824i
\(131\) −0.418316 0.279510i −0.0365484 0.0244209i 0.537162 0.843479i \(-0.319496\pi\)
−0.573710 + 0.819058i \(0.694496\pi\)
\(132\) −11.8345 + 13.7627i −1.03006 + 1.19789i
\(133\) 8.82396 + 1.75520i 0.765135 + 0.152195i
\(134\) 10.2635 + 10.7271i 0.886634 + 0.926684i
\(135\) 1.80997 + 4.83718i 0.155777 + 0.416318i
\(136\) 2.71195 0.354827i 0.232547 0.0304261i
\(137\) 4.55661 1.88741i 0.389298 0.161252i −0.179445 0.983768i \(-0.557430\pi\)
0.568742 + 0.822516i \(0.307430\pi\)
\(138\) 9.98953 12.1498i 0.850365 1.03426i
\(139\) 18.9938 12.6912i 1.61103 1.07646i 0.667792 0.744348i \(-0.267240\pi\)
0.943241 0.332109i \(-0.107760\pi\)
\(140\) 6.82237 4.13494i 0.576596 0.349466i
\(141\) 1.00138 + 0.0772588i 0.0843317 + 0.00650637i
\(142\) −7.53280 5.27752i −0.632139 0.442880i
\(143\) −18.6982 18.6982i −1.56362 1.56362i
\(144\) −10.2735 + 6.20115i −0.856129 + 0.516763i
\(145\) 2.57033 2.57033i 0.213454 0.213454i
\(146\) 0.204855 0.0360651i 0.0169539 0.00298477i
\(147\) 1.21309 15.7234i 0.100054 1.29684i
\(148\) 7.10830 9.68366i 0.584299 0.795992i
\(149\) 0.484782 + 0.725528i 0.0397149 + 0.0594375i 0.850796 0.525496i \(-0.176120\pi\)
−0.811081 + 0.584934i \(0.801120\pi\)
\(150\) 9.78105 0.954381i 0.798620 0.0779249i
\(151\) 6.03653 + 14.5735i 0.491246 + 1.18597i 0.954086 + 0.299531i \(0.0968303\pi\)
−0.462840 + 0.886442i \(0.653170\pi\)
\(152\) 2.80909 5.68480i 0.227847 0.461098i
\(153\) −2.34167 + 1.71237i −0.189313 + 0.138437i
\(154\) −29.7306 0.656659i −2.39576 0.0529151i
\(155\) 1.16665 5.86515i 0.0937077 0.471101i
\(156\) −7.88432 15.6031i −0.631251 1.24925i
\(157\) −0.607206 + 0.908748i −0.0484603 + 0.0725260i −0.854909 0.518779i \(-0.826387\pi\)
0.806448 + 0.591305i \(0.201387\pi\)
\(158\) 0.787119 + 1.23626i 0.0626198 + 0.0983514i
\(159\) −6.96242 1.95203i −0.552156 0.154806i
\(160\) −1.56617 5.40010i −0.123817 0.426916i
\(161\) 25.7697 2.03094
\(162\) 6.39516 11.0046i 0.502451 0.864606i
\(163\) −0.673986 0.450343i −0.0527906 0.0352736i 0.528895 0.848687i \(-0.322607\pi\)
−0.581686 + 0.813414i \(0.697607\pi\)
\(164\) −0.526330 + 11.9091i −0.0410995 + 0.929946i
\(165\) 8.04382 + 4.08293i 0.626210 + 0.317856i
\(166\) −10.0471 0.221909i −0.779803 0.0172235i
\(167\) −7.64654 3.16730i −0.591707 0.245093i 0.0666777 0.997775i \(-0.478760\pi\)
−0.658385 + 0.752681i \(0.728760\pi\)
\(168\) −18.5372 6.54894i −1.43018 0.505262i
\(169\) 11.5192 4.77139i 0.886090 0.367030i
\(170\) −0.492309 1.26697i −0.0377583 0.0971721i
\(171\) 0.284748 + 6.71959i 0.0217752 + 0.513860i
\(172\) 2.39721 + 15.6304i 0.182785 + 1.19181i
\(173\) 4.87296 0.969292i 0.370484 0.0736939i −0.00633687 0.999980i \(-0.502017\pi\)
0.376821 + 0.926286i \(0.377017\pi\)
\(174\) −8.91412 0.886139i −0.675778 0.0671780i
\(175\) 11.3850 + 11.3850i 0.860622 + 0.860622i
\(176\) −5.88647 + 20.1156i −0.443710 + 1.51627i
\(177\) 0.579256 + 1.03061i 0.0435396 + 0.0774654i
\(178\) −10.6694 7.47504i −0.799706 0.560278i
\(179\) −7.27280 + 1.44665i −0.543595 + 0.108128i −0.459247 0.888309i \(-0.651881\pi\)
−0.0843477 + 0.996436i \(0.526881\pi\)
\(180\) 4.20931 + 4.22463i 0.313743 + 0.314885i
\(181\) −5.17210 7.74060i −0.384439 0.575354i 0.587898 0.808935i \(-0.299956\pi\)
−0.972337 + 0.233581i \(0.924956\pi\)
\(182\) 11.5422 26.2127i 0.855565 1.94301i
\(183\) 0.328650 + 2.74058i 0.0242945 + 0.202589i
\(184\) 4.71484 17.5399i 0.347583 1.29306i
\(185\) −5.51550 2.28460i −0.405508 0.167967i
\(186\) −13.0034 + 6.93528i −0.953455 + 0.508520i
\(187\) −0.988492 + 4.96948i −0.0722857 + 0.363405i
\(188\) 1.09001 0.396071i 0.0794968 0.0288865i
\(189\) 20.5806 3.35720i 1.49702 0.244201i
\(190\) −3.07643 0.682889i −0.223187 0.0495419i
\(191\) −18.7379 −1.35583 −0.677915 0.735140i \(-0.737116\pi\)
−0.677915 + 0.735140i \(0.737116\pi\)
\(192\) −7.84904 + 11.4190i −0.566456 + 0.824092i
\(193\) 10.3487 0.744917 0.372458 0.928049i \(-0.378515\pi\)
0.372458 + 0.928049i \(0.378515\pi\)
\(194\) 9.95357 + 2.20944i 0.714625 + 0.158628i
\(195\) −6.59779 + 5.65264i −0.472477 + 0.404794i
\(196\) −6.21898 17.1149i −0.444213 1.22249i
\(197\) 0.499551 2.51141i 0.0355916 0.178931i −0.958901 0.283742i \(-0.908424\pi\)
0.994492 + 0.104812i \(0.0334239\pi\)
\(198\) −4.77795 21.7111i −0.339554 1.54294i
\(199\) −21.9191 9.07919i −1.55380 0.643606i −0.569804 0.821780i \(-0.692981\pi\)
−0.983999 + 0.178174i \(0.942981\pi\)
\(200\) 9.83204 5.66605i 0.695230 0.400650i
\(201\) −18.0535 + 2.16498i −1.27340 + 0.152706i
\(202\) 5.85259 13.2914i 0.411787 0.935180i
\(203\) −8.15372 12.2029i −0.572279 0.856476i
\(204\) −1.64656 + 2.91713i −0.115282 + 0.204240i
\(205\) 5.81048 1.15578i 0.405822 0.0807230i
\(206\) 11.6377 + 8.15343i 0.810836 + 0.568076i
\(207\) 4.55483 + 18.7180i 0.316583 + 1.30099i
\(208\) −15.7296 12.6520i −1.09065 0.877255i
\(209\) 8.30637 + 8.30637i 0.574564 + 0.574564i
\(210\) −0.966512 + 9.72264i −0.0666957 + 0.670926i
\(211\) 5.82420 1.15850i 0.400954 0.0797547i 0.00950579 0.999955i \(-0.496974\pi\)
0.391448 + 0.920200i \(0.371974\pi\)
\(212\) −8.25301 + 1.26575i −0.566819 + 0.0869322i
\(213\) 10.7080 3.49747i 0.733698 0.239643i
\(214\) 9.25940 + 23.8293i 0.632960 + 1.62894i
\(215\) 7.26053 3.00741i 0.495164 0.205104i
\(216\) 1.48040 14.6222i 0.100728 0.994914i
\(217\) −22.3067 9.23973i −1.51428 0.627234i
\(218\) 8.19889 + 0.181089i 0.555299 + 0.0122649i
\(219\) −0.115306 + 0.227165i −0.00779165 + 0.0153504i
\(220\) 10.4061 + 0.459902i 0.701577 + 0.0310066i
\(221\) −4.05759 2.71119i −0.272943 0.182375i
\(222\) 4.25797 + 14.0827i 0.285776 + 0.945167i
\(223\) −3.73785 −0.250305 −0.125152 0.992138i \(-0.539942\pi\)
−0.125152 + 0.992138i \(0.539942\pi\)
\(224\) −22.6177 + 1.94840i −1.51121 + 0.130183i
\(225\) −6.25725 + 10.2819i −0.417150 + 0.685457i
\(226\) 8.13204 + 12.7723i 0.540935 + 0.849598i
\(227\) −1.99547 + 2.98643i −0.132444 + 0.198216i −0.891764 0.452501i \(-0.850532\pi\)
0.759320 + 0.650717i \(0.225532\pi\)
\(228\) 3.50248 + 6.93142i 0.231957 + 0.459044i
\(229\) −5.43450 + 27.3211i −0.359122 + 1.80543i 0.203908 + 0.978990i \(0.434636\pi\)
−0.563030 + 0.826437i \(0.690364\pi\)
\(230\) −9.02412 0.199315i −0.595033 0.0131425i
\(231\) 22.5041 28.6369i 1.48066 1.88417i
\(232\) −9.79758 + 3.31709i −0.643243 + 0.217778i
\(233\) −9.69909 23.4157i −0.635408 1.53401i −0.832734 0.553674i \(-0.813226\pi\)
0.197325 0.980338i \(-0.436774\pi\)
\(234\) 21.0799 + 3.75064i 1.37803 + 0.245187i
\(235\) −0.320208 0.479225i −0.0208881 0.0312612i
\(236\) 1.10047 + 0.807805i 0.0716348 + 0.0525836i
\(237\) −1.78963 0.138074i −0.116249 0.00896884i
\(238\) −5.40490 + 0.951543i −0.350347 + 0.0616793i
\(239\) −0.877531 + 0.877531i −0.0567628 + 0.0567628i −0.734918 0.678156i \(-0.762780\pi\)
0.678156 + 0.734918i \(0.262780\pi\)
\(240\) 6.44077 + 2.43670i 0.415750 + 0.157289i
\(241\) 1.37915 + 1.37915i 0.0888390 + 0.0888390i 0.750130 0.661291i \(-0.229991\pi\)
−0.661291 + 0.750130i \(0.729991\pi\)
\(242\) −19.0595 13.3532i −1.22519 0.858377i
\(243\) 6.07618 + 14.3555i 0.389787 + 0.920905i
\(244\) 1.65199 + 2.72567i 0.105758 + 0.174493i
\(245\) −7.52464 + 5.02780i −0.480732 + 0.321215i
\(246\) −11.2774 9.27231i −0.719023 0.591181i
\(247\) −10.4526 + 4.32962i −0.665085 + 0.275487i
\(248\) −10.3702 + 13.4923i −0.658506 + 0.856761i
\(249\) 7.60496 9.67747i 0.481945 0.613285i
\(250\) −8.75756 9.15316i −0.553877 0.578897i
\(251\) 21.1556 + 4.20812i 1.33533 + 0.265614i 0.810574 0.585637i \(-0.199155\pi\)
0.524759 + 0.851251i \(0.324155\pi\)
\(252\) 20.0448 13.3409i 1.26271 0.840400i
\(253\) 27.9764 + 18.6933i 1.75886 + 1.17524i
\(254\) 5.94118 + 1.31879i 0.372783 + 0.0827484i
\(255\) 1.60293 + 0.449410i 0.100380 + 0.0281432i
\(256\) −2.81199 + 15.7510i −0.175750 + 0.984435i
\(257\) 11.0021i 0.686292i −0.939282 0.343146i \(-0.888507\pi\)
0.939282 0.343146i \(-0.111493\pi\)
\(258\) −17.0719 9.14508i −1.06285 0.569348i
\(259\) −13.3913 + 20.0415i −0.832095 + 1.24532i
\(260\) −4.24462 + 9.08996i −0.263240 + 0.563735i
\(261\) 7.42250 8.07940i 0.459441 0.500102i
\(262\) 0.514091 0.491872i 0.0317607 0.0303880i
\(263\) 3.70327 8.94049i 0.228354 0.551294i −0.767624 0.640901i \(-0.778561\pi\)
0.995977 + 0.0896065i \(0.0285609\pi\)
\(264\) −15.3740 20.5566i −0.946207 1.26517i
\(265\) 1.58794 + 3.83364i 0.0975467 + 0.235498i
\(266\) −5.12743 + 11.6445i −0.314383 + 0.713973i
\(267\) 15.1667 4.95380i 0.928187 0.303168i
\(268\) −17.9554 + 10.8825i −1.09680 + 0.664753i
\(269\) −2.23837 11.2530i −0.136476 0.686109i −0.987070 0.160287i \(-0.948758\pi\)
0.850595 0.525822i \(-0.176242\pi\)
\(270\) −7.23294 + 1.01646i −0.440183 + 0.0618595i
\(271\) 19.6396 19.6396i 1.19302 1.19302i 0.216808 0.976214i \(-0.430435\pi\)
0.976214 0.216808i \(-0.0695646\pi\)
\(272\) −0.341226 + 3.85288i −0.0206899 + 0.233615i
\(273\) 17.1871 + 30.5793i 1.04021 + 1.85074i
\(274\) 1.20936 + 6.86932i 0.0730599 + 0.414991i
\(275\) 4.10127 + 20.6185i 0.247316 + 1.24334i
\(276\) 13.7127 + 17.5151i 0.825406 + 1.05428i
\(277\) 4.66619 3.11785i 0.280364 0.187334i −0.407435 0.913234i \(-0.633577\pi\)
0.687800 + 0.725901i \(0.258577\pi\)
\(278\) 11.7008 + 30.1124i 0.701768 + 1.80602i
\(279\) 2.76861 17.8358i 0.165752 1.06780i
\(280\) 3.61795 + 10.6862i 0.216214 + 0.638624i
\(281\) −7.24049 + 17.4801i −0.431931 + 1.04277i 0.546733 + 0.837307i \(0.315871\pi\)
−0.978664 + 0.205467i \(0.934129\pi\)
\(282\) −0.413549 + 1.35884i −0.0246265 + 0.0809179i
\(283\) 0.419792 + 0.0835019i 0.0249541 + 0.00496367i 0.207552 0.978224i \(-0.433451\pi\)
−0.182598 + 0.983188i \(0.558451\pi\)
\(284\) 9.59470 8.78251i 0.569341 0.521146i
\(285\) 2.93096 2.51109i 0.173615 0.148744i
\(286\) 31.5452 20.0847i 1.86531 1.18763i
\(287\) 23.9195i 1.41192i
\(288\) −5.41294 16.0842i −0.318961 0.947768i
\(289\) 16.0649i 0.944996i
\(290\) 2.76091 + 4.33632i 0.162126 + 0.254637i
\(291\) −9.48292 + 8.12447i −0.555898 + 0.476265i
\(292\) −0.0129880 + 0.293877i −0.000760068 + 0.0171979i
\(293\) 8.13084 + 1.61732i 0.475009 + 0.0944851i 0.426788 0.904352i \(-0.359645\pi\)
0.0482204 + 0.998837i \(0.484645\pi\)
\(294\) 21.3361 + 6.49340i 1.24435 + 0.378703i
\(295\) 0.259627 0.626795i 0.0151161 0.0364934i
\(296\) 11.1909 + 12.7814i 0.650460 + 0.742906i
\(297\) 24.7783 + 11.2844i 1.43778 + 0.654788i
\(298\) −1.15024 + 0.446949i −0.0666314 + 0.0258911i
\(299\) −26.9449 + 18.0040i −1.55826 + 1.04120i
\(300\) −1.67988 + 13.7963i −0.0969876 + 0.796529i
\(301\) −6.19017 31.1201i −0.356795 1.79373i
\(302\) −21.9702 + 3.86790i −1.26425 + 0.222573i
\(303\) 8.71492 + 15.5055i 0.500659 + 0.890770i
\(304\) 6.98761 + 5.62042i 0.400767 + 0.322353i
\(305\) 1.12004 1.12004i 0.0641331 0.0641331i
\(306\) −1.64648 3.75770i −0.0941232 0.214814i
\(307\) 3.00071 + 15.0856i 0.171260 + 0.860981i 0.966889 + 0.255197i \(0.0821404\pi\)
−0.795629 + 0.605784i \(0.792860\pi\)
\(308\) 10.0178 40.8451i 0.570819 2.32736i
\(309\) −16.5431 + 5.40337i −0.941105 + 0.307387i
\(310\) 7.73995 + 3.40813i 0.439600 + 0.193569i
\(311\) 3.32454 + 8.02614i 0.188517 + 0.455121i 0.989674 0.143333i \(-0.0457820\pi\)
−0.801157 + 0.598454i \(0.795782\pi\)
\(312\) 23.9580 6.10343i 1.35636 0.345539i
\(313\) −5.93757 + 14.3346i −0.335611 + 0.810238i 0.662515 + 0.749049i \(0.269489\pi\)
−0.998126 + 0.0611888i \(0.980511\pi\)
\(314\) −1.06854 1.11681i −0.0603013 0.0630252i
\(315\) −8.81221 8.09572i −0.496512 0.456142i
\(316\) −1.94801 + 0.707841i −0.109584 + 0.0398191i
\(317\) −4.58817 + 6.86668i −0.257697 + 0.385671i −0.937648 0.347587i \(-0.887001\pi\)
0.679951 + 0.733258i \(0.262001\pi\)
\(318\) 4.82870 9.01416i 0.270780 0.505489i
\(319\) 19.1626i 1.07290i
\(320\) 7.93540 0.507359i 0.443603 0.0283622i
\(321\) −30.1482 8.45257i −1.68271 0.471776i
\(322\) −7.89739 + 35.5779i −0.440104 + 1.98268i
\(323\) 1.80252 + 1.20440i 0.100295 + 0.0670147i
\(324\) 13.2332 + 12.2017i 0.735180 + 0.677872i
\(325\) −19.8583 3.95005i −1.10154 0.219110i
\(326\) 0.828297 0.792499i 0.0458751 0.0438924i
\(327\) −6.20602 + 7.89729i −0.343194 + 0.436721i
\(328\) −16.2805 4.37633i −0.898943 0.241642i
\(329\) −2.14992 + 0.890527i −0.118529 + 0.0490963i
\(330\) −8.10205 + 9.85411i −0.446003 + 0.542451i
\(331\) −16.8218 + 11.2399i −0.924607 + 0.617803i −0.924081 0.382197i \(-0.875168\pi\)
−0.000526305 1.00000i \(0.500168\pi\)
\(332\) 3.38539 13.8031i 0.185798 0.757541i
\(333\) −16.9242 6.18451i −0.927442 0.338909i
\(334\) 6.71617 9.58623i 0.367492 0.524535i
\(335\) 7.37823 + 7.37823i 0.403116 + 0.403116i
\(336\) 14.7225 23.5857i 0.803176 1.28670i
\(337\) −10.4562 + 10.4562i −0.569588 + 0.569588i −0.932013 0.362425i \(-0.881949\pi\)
0.362425 + 0.932013i \(0.381949\pi\)
\(338\) 3.05727 + 17.3657i 0.166293 + 0.944570i
\(339\) −18.4894 1.42649i −1.00420 0.0774764i
\(340\) 1.90006 0.291410i 0.103045 0.0158039i
\(341\) −17.5144 26.2121i −0.948458 1.41947i
\(342\) −9.36439 1.66616i −0.506368 0.0900956i
\(343\) 3.23256 + 7.80410i 0.174542 + 0.421382i
\(344\) −22.3141 1.48048i −1.20310 0.0798221i
\(345\) 6.83066 8.69216i 0.367751 0.467970i
\(346\) −0.155155 + 7.02471i −0.00834116 + 0.377650i
\(347\) 0.0191071 0.0960581i 0.00102573 0.00515667i −0.980269 0.197668i \(-0.936663\pi\)
0.981295 + 0.192511i \(0.0616632\pi\)
\(348\) 3.95523 12.0354i 0.212023 0.645163i
\(349\) 12.5311 18.7541i 0.670773 1.00388i −0.327483 0.944857i \(-0.606201\pi\)
0.998256 0.0590258i \(-0.0187994\pi\)
\(350\) −19.2072 + 12.2291i −1.02667 + 0.653675i
\(351\) −19.1736 + 17.8889i −1.02341 + 0.954841i
\(352\) −25.9679 14.2916i −1.38409 0.761743i
\(353\) −29.0761 −1.54757 −0.773783 0.633450i \(-0.781638\pi\)
−0.773783 + 0.633450i \(0.781638\pi\)
\(354\) −1.60039 + 0.483886i −0.0850597 + 0.0257182i
\(355\) −5.37489 3.59139i −0.285269 0.190611i
\(356\) 13.5899 12.4395i 0.720261 0.659291i
\(357\) 3.04223 5.99352i 0.161012 0.317211i
\(358\) 0.231565 10.4842i 0.0122386 0.554109i
\(359\) −15.5113 6.42500i −0.818656 0.339099i −0.0662543 0.997803i \(-0.521105\pi\)
−0.752402 + 0.658704i \(0.771105\pi\)
\(360\) −7.12255 + 4.51673i −0.375391 + 0.238053i
\(361\) −12.9103 + 5.34762i −0.679489 + 0.281454i
\(362\) 12.2718 4.76847i 0.644991 0.250625i
\(363\) 27.0934 8.84933i 1.42203 0.464469i
\(364\) 32.6522 + 23.9684i 1.71144 + 1.25629i
\(365\) 0.143383 0.0285207i 0.00750502 0.00149284i
\(366\) −3.88439 0.386141i −0.203040 0.0201839i
\(367\) −17.7815 17.7815i −0.928188 0.928188i 0.0694007 0.997589i \(-0.477891\pi\)
−0.997589 + 0.0694007i \(0.977891\pi\)
\(368\) 22.7708 + 11.8846i 1.18701 + 0.619529i
\(369\) 17.3741 4.22781i 0.904461 0.220091i
\(370\) 4.84442 6.91462i 0.251849 0.359474i
\(371\) 16.4317 3.26848i 0.853093 0.169691i
\(372\) −5.58989 20.0780i −0.289822 1.04100i
\(373\) 14.2133 + 21.2718i 0.735939 + 1.10141i 0.990919 + 0.134464i \(0.0429311\pi\)
−0.254980 + 0.966946i \(0.582069\pi\)
\(374\) −6.55798 2.88767i −0.339105 0.149318i
\(375\) 15.4046 1.84731i 0.795488 0.0953948i
\(376\) 0.212776 + 1.62625i 0.0109731 + 0.0838675i
\(377\) 17.0511 + 7.06281i 0.878178 + 0.363753i
\(378\) −1.67215 + 29.4426i −0.0860060 + 1.51436i
\(379\) −6.08068 + 30.5696i −0.312343 + 1.57026i 0.431632 + 0.902050i \(0.357938\pi\)
−0.743975 + 0.668207i \(0.767062\pi\)
\(380\) 1.88560 4.03807i 0.0967295 0.207148i
\(381\) −5.66026 + 4.84941i −0.289984 + 0.248443i
\(382\) 5.74243 25.8698i 0.293808 1.32361i
\(383\) 36.2148 1.85049 0.925244 0.379371i \(-0.123860\pi\)
0.925244 + 0.379371i \(0.123860\pi\)
\(384\) −13.3597 14.3359i −0.681759 0.731577i
\(385\) −20.9006 −1.06519
\(386\) −3.17147 + 14.2875i −0.161424 + 0.727216i
\(387\) 21.5102 9.99680i 1.09342 0.508166i
\(388\) −6.10074 + 13.0649i −0.309718 + 0.663269i
\(389\) −3.80380 + 19.1230i −0.192861 + 0.969575i 0.756166 + 0.654380i \(0.227070\pi\)
−0.949027 + 0.315196i \(0.897930\pi\)
\(390\) −5.78213 10.8413i −0.292790 0.548969i
\(391\) 5.73677 + 2.37625i 0.290121 + 0.120172i
\(392\) 25.5349 3.34094i 1.28971 0.168743i
\(393\) 0.103755 + 0.865204i 0.00523375 + 0.0436437i
\(394\) 3.31419 + 1.45933i 0.166966 + 0.0735202i
\(395\) 0.572262 + 0.856450i 0.0287936 + 0.0430927i
\(396\) 31.4388 + 0.0571033i 1.57986 + 0.00286955i
\(397\) −21.5746 + 4.29146i −1.08280 + 0.215382i −0.704074 0.710127i \(-0.748638\pi\)
−0.378726 + 0.925509i \(0.623638\pi\)
\(398\) 19.2521 27.4793i 0.965022 1.37741i
\(399\) −7.63511 13.5843i −0.382233 0.680068i
\(400\) 4.80947 + 15.3106i 0.240473 + 0.765531i
\(401\) −24.9191 24.9191i −1.24440 1.24440i −0.958157 0.286245i \(-0.907593\pi\)
−0.286245 0.958157i \(-0.592407\pi\)
\(402\) 2.54370 25.5884i 0.126868 1.27623i
\(403\) 29.7793 5.92347i 1.48341 0.295069i
\(404\) 16.5567 + 12.1534i 0.823724 + 0.604656i
\(405\) 4.32282 7.83174i 0.214803 0.389163i
\(406\) 19.3462 7.51740i 0.960138 0.373082i
\(407\) −29.0761 + 12.0437i −1.44125 + 0.596984i
\(408\) −3.52282 3.16724i −0.174405 0.156802i
\(409\) −32.8827 13.6204i −1.62594 0.673488i −0.631175 0.775641i \(-0.717427\pi\)
−0.994769 + 0.102153i \(0.967427\pi\)
\(410\) −0.185005 + 8.37621i −0.00913675 + 0.413671i
\(411\) −7.61743 3.86651i −0.375740 0.190721i
\(412\) −14.8232 + 13.5684i −0.730286 + 0.668467i
\(413\) −2.27757 1.52182i −0.112072 0.0748839i
\(414\) −27.2382 + 0.552113i −1.33868 + 0.0271349i
\(415\) −7.06309 −0.346713
\(416\) 22.2879 17.8391i 1.09275 0.874634i
\(417\) −38.0973 10.6812i −1.86563 0.523063i
\(418\) −14.0134 + 8.92228i −0.685419 + 0.436403i
\(419\) 21.0879 31.5602i 1.03021 1.54182i 0.203592 0.979056i \(-0.434739\pi\)
0.826619 0.562763i \(-0.190261\pi\)
\(420\) −13.1270 4.31398i −0.640530 0.210500i
\(421\) 0.323711 1.62741i 0.0157767 0.0793149i −0.972095 0.234588i \(-0.924626\pi\)
0.987872 + 0.155273i \(0.0496258\pi\)
\(422\) −0.185442 + 8.39597i −0.00902716 + 0.408710i
\(423\) −1.02684 1.40421i −0.0499268 0.0682751i
\(424\) 0.781709 11.7821i 0.0379631 0.572188i
\(425\) 1.48467 + 3.58430i 0.0720169 + 0.173864i
\(426\) 1.54708 + 15.8554i 0.0749562 + 0.768195i
\(427\) −3.55304 5.31750i −0.171944 0.257332i
\(428\) −35.7366 + 5.48088i −1.72740 + 0.264928i
\(429\) −3.52318 + 45.6654i −0.170101 + 2.20474i
\(430\) 1.92699 + 10.9456i 0.0929279 + 0.527844i
\(431\) −8.48020 + 8.48020i −0.408477 + 0.408477i −0.881207 0.472730i \(-0.843268\pi\)
0.472730 + 0.881207i \(0.343268\pi\)
\(432\) 19.7338 + 6.52497i 0.949445 + 0.313933i
\(433\) 7.39431 + 7.39431i 0.355348 + 0.355348i 0.862095 0.506747i \(-0.169152\pi\)
−0.506747 + 0.862095i \(0.669152\pi\)
\(434\) 19.5926 27.9652i 0.940473 1.34237i
\(435\) −6.27733 0.484309i −0.300975 0.0232208i
\(436\) −2.76265 + 11.2640i −0.132307 + 0.539447i
\(437\) 11.9698 7.99798i 0.572595 0.382596i
\(438\) −0.278289 0.228809i −0.0132972 0.0109329i
\(439\) 15.1087 6.25824i 0.721100 0.298689i 0.00821108 0.999966i \(-0.497386\pi\)
0.712889 + 0.701277i \(0.247386\pi\)
\(440\) −3.82399 + 14.2258i −0.182302 + 0.678187i
\(441\) −22.0485 + 16.1232i −1.04993 + 0.767769i
\(442\) 4.98659 4.77107i 0.237188 0.226937i
\(443\) 35.7076 + 7.10267i 1.69652 + 0.337458i 0.946191 0.323609i \(-0.104896\pi\)
0.750326 + 0.661067i \(0.229896\pi\)
\(444\) −20.7476 + 1.56281i −0.984635 + 0.0741679i
\(445\) −7.61295 5.08681i −0.360889 0.241138i
\(446\) 1.14550 5.16051i 0.0542411 0.244357i
\(447\) 0.408004 1.45525i 0.0192979 0.0688309i
\(448\) 4.24145 31.8233i 0.200390 1.50351i
\(449\) 29.1190i 1.37421i 0.726559 + 0.687104i \(0.241118\pi\)
−0.726559 + 0.687104i \(0.758882\pi\)
\(450\) −12.2776 11.7898i −0.578773 0.555776i
\(451\) 17.3511 25.9678i 0.817033 1.22278i
\(452\) −20.1257 + 7.31298i −0.946631 + 0.343974i
\(453\) 12.3663 24.3629i 0.581020 1.14467i
\(454\) −3.51156 3.67018i −0.164806 0.172250i
\(455\) 7.70341 18.5977i 0.361141 0.871872i
\(456\) −10.6430 + 2.71135i −0.498402 + 0.126971i
\(457\) 0.159700 + 0.385549i 0.00747044 + 0.0180352i 0.927571 0.373648i \(-0.121893\pi\)
−0.920100 + 0.391683i \(0.871893\pi\)
\(458\) −36.0543 15.8757i −1.68470 0.741824i
\(459\) 4.89116 + 1.15039i 0.228300 + 0.0536954i
\(460\) 3.04071 12.3977i 0.141774 0.578046i
\(461\) 3.45947 + 17.3919i 0.161124 + 0.810023i 0.973817 + 0.227332i \(0.0730003\pi\)
−0.812694 + 0.582691i \(0.802000\pi\)
\(462\) 32.6398 + 39.8454i 1.51854 + 1.85378i
\(463\) 10.9564 10.9564i 0.509187 0.509187i −0.405090 0.914277i \(-0.632760\pi\)
0.914277 + 0.405090i \(0.132760\pi\)
\(464\) −1.57703 14.5432i −0.0732120 0.675151i
\(465\) −9.02930 + 5.07494i −0.418724 + 0.235345i
\(466\) 35.3003 6.21468i 1.63525 0.287890i
\(467\) 0.465826 + 2.34187i 0.0215559 + 0.108369i 0.990065 0.140608i \(-0.0449057\pi\)
−0.968509 + 0.248977i \(0.919906\pi\)
\(468\) −11.6383 + 27.9537i −0.537981 + 1.29216i
\(469\) 35.0290 23.4056i 1.61749 1.08077i
\(470\) 0.759754 0.295219i 0.0350449 0.0136174i
\(471\) 1.87956 0.225397i 0.0866058 0.0103858i
\(472\) −1.45251 + 1.27177i −0.0668574 + 0.0585378i
\(473\) 15.8542 38.2753i 0.728975 1.75990i
\(474\) 0.739075 2.42846i 0.0339469 0.111543i
\(475\) 8.82170 + 1.75475i 0.404768 + 0.0805133i
\(476\) 0.342677 7.75366i 0.0157066 0.355388i
\(477\) 5.27842 + 11.3576i 0.241682 + 0.520029i
\(478\) −0.942599 1.48046i −0.0431135 0.0677145i
\(479\) 27.3126i 1.24794i 0.781447 + 0.623971i \(0.214482\pi\)
−0.781447 + 0.623971i \(0.785518\pi\)
\(480\) −5.33798 + 8.14543i −0.243644 + 0.371786i
\(481\) 30.3113i 1.38208i
\(482\) −2.32672 + 1.48141i −0.105979 + 0.0674766i
\(483\) −29.0400 33.8956i −1.32137 1.54230i
\(484\) 24.2766 22.2215i 1.10348 1.01007i
\(485\) 7.02824 + 1.39800i 0.319136 + 0.0634801i
\(486\) −21.6814 + 3.98945i −0.983490 + 0.180965i
\(487\) −11.7515 + 28.3705i −0.532510 + 1.28559i 0.397346 + 0.917669i \(0.369931\pi\)
−0.929856 + 0.367924i \(0.880069\pi\)
\(488\) −4.26936 + 1.44544i −0.193265 + 0.0654321i
\(489\) 0.167169 + 1.39401i 0.00755964 + 0.0630391i
\(490\) −4.63543 11.9294i −0.209407 0.538916i
\(491\) −7.62054 + 5.09188i −0.343910 + 0.229793i −0.715515 0.698598i \(-0.753808\pi\)
0.371605 + 0.928391i \(0.378808\pi\)
\(492\) 16.2575 12.7281i 0.732946 0.573829i
\(493\) −0.689915 3.46844i −0.0310722 0.156211i
\(494\) −2.77420 15.7579i −0.124817 0.708980i
\(495\) −3.69421 15.1813i −0.166043 0.682350i
\(496\) −15.4495 18.4520i −0.693704 0.828519i
\(497\) −18.4553 + 18.4553i −0.827835 + 0.827835i
\(498\) 11.0302 + 13.4652i 0.494275 + 0.603392i
\(499\) 7.60310 + 38.2234i 0.340361 + 1.71111i 0.649726 + 0.760169i \(0.274884\pi\)
−0.309364 + 0.950944i \(0.600116\pi\)
\(500\) 15.3208 9.28570i 0.685166 0.415269i
\(501\) 4.45088 + 13.6270i 0.198851 + 0.608807i
\(502\) −12.2931 + 27.9181i −0.548669 + 1.24604i
\(503\) 4.74830 + 11.4634i 0.211716 + 0.511129i 0.993687 0.112186i \(-0.0357854\pi\)
−0.781971 + 0.623315i \(0.785785\pi\)
\(504\) 12.2757 + 31.7626i 0.546802 + 1.41482i
\(505\) 3.90609 9.43014i 0.173819 0.419636i
\(506\) −34.3818 + 32.8958i −1.52846 + 1.46240i
\(507\) −19.2569 9.77457i −0.855231 0.434104i
\(508\) −3.64147 + 7.79830i −0.161564 + 0.345993i
\(509\) 19.2360 28.7886i 0.852619 1.27603i −0.106866 0.994273i \(-0.534082\pi\)
0.959485 0.281761i \(-0.0909184\pi\)
\(510\) −1.11170 + 2.07530i −0.0492267 + 0.0918959i
\(511\) 0.590253i 0.0261113i
\(512\) −20.8842 8.70931i −0.922958 0.384901i
\(513\) 8.51758 7.94687i 0.376060 0.350863i
\(514\) 15.1896 + 3.37171i 0.669985 + 0.148720i
\(515\) 8.30385 + 5.54846i 0.365912 + 0.244494i
\(516\) 17.8576 20.7671i 0.786139 0.914219i
\(517\) −2.98001 0.592761i −0.131061 0.0260696i
\(518\) −23.5656 24.6301i −1.03541 1.08218i
\(519\) −6.76630 5.31724i −0.297008 0.233401i
\(520\) −11.2489 8.64588i −0.493296 0.379147i
\(521\) 24.9630 10.3400i 1.09365 0.453004i 0.238372 0.971174i \(-0.423386\pi\)
0.855278 + 0.518170i \(0.173386\pi\)
\(522\) 8.87980 + 12.7236i 0.388658 + 0.556896i
\(523\) −10.8065 + 7.22068i −0.472536 + 0.315738i −0.768936 0.639326i \(-0.779214\pi\)
0.296401 + 0.955064i \(0.404214\pi\)
\(524\) 0.521535 + 0.860498i 0.0227834 + 0.0375910i
\(525\) 2.14519 27.8047i 0.0936238 1.21350i
\(526\) 11.2084 + 7.85268i 0.488710 + 0.342393i
\(527\) −4.11384 4.11384i −0.179202 0.179202i
\(528\) 33.0922 14.9258i 1.44015 0.649561i
\(529\) 12.8938 12.8938i 0.560599 0.560599i
\(530\) −5.77940 + 1.01747i −0.251041 + 0.0441962i
\(531\) 0.702823 1.92331i 0.0304999 0.0834646i
\(532\) −14.5052 10.6476i −0.628881 0.461631i
\(533\) 16.7114 + 25.0103i 0.723850 + 1.08332i
\(534\) 2.19127 + 22.4574i 0.0948256 + 0.971828i
\(535\) 6.87602 + 16.6002i 0.297276 + 0.717688i
\(536\) −9.52185 28.1244i −0.411281 1.21479i
\(537\) 10.0986 + 7.93588i 0.435785 + 0.342458i
\(538\) 16.2220 + 0.358295i 0.699380 + 0.0154472i
\(539\) −9.30734 + 46.7912i −0.400896 + 2.01544i
\(540\) 0.813281 10.2974i 0.0349981 0.443128i
\(541\) 1.36985 2.05013i 0.0588947 0.0881421i −0.800853 0.598860i \(-0.795620\pi\)
0.859748 + 0.510718i \(0.170620\pi\)
\(542\) 21.0959 + 33.1334i 0.906146 + 1.42320i
\(543\) −4.35296 + 15.5259i −0.186803 + 0.666281i
\(544\) −5.21475 1.65185i −0.223580 0.0708226i
\(545\) 5.76383 0.246895
\(546\) −47.4852 + 14.3574i −2.03218 + 0.614440i
\(547\) 1.11688 + 0.746278i 0.0477545 + 0.0319086i 0.579218 0.815172i \(-0.303358\pi\)
−0.531464 + 0.847081i \(0.678358\pi\)
\(548\) −9.85446 0.435523i −0.420962 0.0186046i
\(549\) 3.23440 3.52065i 0.138041 0.150258i
\(550\) −29.7230 0.656491i −1.26739 0.0279929i
\(551\) −7.57468 3.13754i −0.322692 0.133664i
\(552\) −28.3838 + 13.5642i −1.20810 + 0.577330i
\(553\) 3.84225 1.59151i 0.163389 0.0676779i
\(554\) 2.87453 + 7.39769i 0.122127 + 0.314298i
\(555\) 3.21045 + 9.82921i 0.136276 + 0.417227i
\(556\) −45.1593 + 6.92601i −1.91518 + 0.293728i
\(557\) −32.1153 + 6.38814i −1.36077 + 0.270674i −0.820899 0.571074i \(-0.806527\pi\)
−0.539871 + 0.841748i \(0.681527\pi\)
\(558\) 23.7757 + 9.28832i 1.00651 + 0.393206i
\(559\) 28.2145 + 28.2145i 1.19335 + 1.19335i
\(560\) −15.8623 + 1.72007i −0.670303 + 0.0726863i
\(561\) 7.65043 4.29994i 0.323002 0.181544i
\(562\) −21.9142 15.3532i −0.924396 0.647637i
\(563\) −3.24723 + 0.645913i −0.136854 + 0.0272220i −0.263042 0.964784i \(-0.584726\pi\)
0.126188 + 0.992006i \(0.459726\pi\)
\(564\) −1.74930 0.987380i −0.0736586 0.0415762i
\(565\) 5.91226 + 8.84833i 0.248731 + 0.372252i
\(566\) −0.243933 + 0.553979i −0.0102533 + 0.0232855i
\(567\) −27.6082 23.2870i −1.15943 0.977961i
\(568\) 9.18482 + 15.9380i 0.385386 + 0.668744i
\(569\) 13.6962 + 5.67316i 0.574175 + 0.237831i 0.650826 0.759227i \(-0.274423\pi\)
−0.0766510 + 0.997058i \(0.524423\pi\)
\(570\) 2.56862 + 4.81606i 0.107588 + 0.201723i
\(571\) 3.79750 19.0913i 0.158920 0.798947i −0.816286 0.577649i \(-0.803970\pi\)
0.975206 0.221299i \(-0.0710296\pi\)
\(572\) 18.0617 + 49.7067i 0.755199 + 2.07834i
\(573\) 21.1159 + 24.6465i 0.882128 + 1.02962i
\(574\) 33.0235 + 7.33038i 1.37837 + 0.305964i
\(575\) 25.7631 1.07440
\(576\) 23.8648 2.54400i 0.994366 0.106000i
\(577\) 38.2782 1.59354 0.796771 0.604281i \(-0.206540\pi\)
0.796771 + 0.604281i \(0.206540\pi\)
\(578\) 22.1794 + 4.92326i 0.922541 + 0.204781i
\(579\) −11.6620 13.6120i −0.484657 0.565693i
\(580\) −6.83287 + 2.48283i −0.283719 + 0.103094i
\(581\) −5.56345 + 27.9694i −0.230811 + 1.16036i
\(582\) −8.31058 15.5820i −0.344485 0.645896i
\(583\) 20.2098 + 8.37117i 0.837004 + 0.346698i
\(584\) −0.401749 0.107993i −0.0166245 0.00446878i
\(585\) 14.8702 + 2.30827i 0.614805 + 0.0954351i
\(586\) −4.72467 + 10.7299i −0.195174 + 0.443247i
\(587\) −20.6062 30.8394i −0.850511 1.27288i −0.960313 0.278926i \(-0.910022\pi\)
0.109802 0.993954i \(-0.464978\pi\)
\(588\) −15.5035 + 27.4669i −0.639354 + 1.13271i
\(589\) −13.2290 + 2.63140i −0.545090 + 0.108425i
\(590\) 0.785794 + 0.550531i 0.0323506 + 0.0226650i
\(591\) −3.86628 + 2.17305i −0.159037 + 0.0893873i
\(592\) −21.0758 + 11.5333i −0.866208 + 0.474016i
\(593\) −1.60218 1.60218i −0.0657938 0.0657938i 0.673444 0.739238i \(-0.264814\pi\)
−0.739238 + 0.673444i \(0.764814\pi\)
\(594\) −23.1729 + 30.7509i −0.950796 + 1.26173i
\(595\) −3.78303 + 0.752491i −0.155089 + 0.0308491i
\(596\) −0.264561 1.72500i −0.0108368 0.0706587i
\(597\) 12.7586 + 39.0622i 0.522175 + 1.59871i
\(598\) −16.5990 42.7179i −0.678782 1.74686i
\(599\) 2.19472 0.909083i 0.0896738 0.0371441i −0.337396 0.941363i \(-0.609546\pi\)
0.427069 + 0.904219i \(0.359546\pi\)
\(600\) −18.5325 6.54727i −0.756585 0.267291i
\(601\) 17.3626 + 7.19182i 0.708235 + 0.293360i 0.707574 0.706639i \(-0.249790\pi\)
0.000660854 1.00000i \(0.499790\pi\)
\(602\) 44.8617 + 0.990860i 1.82843 + 0.0403844i
\(603\) 23.1923 + 21.3066i 0.944462 + 0.867672i
\(604\) 1.39294 31.5177i 0.0566779 1.28244i
\(605\) −13.5996 9.08694i −0.552901 0.369437i
\(606\) −24.0779 + 7.28007i −0.978096 + 0.295733i
\(607\) 5.07416 0.205954 0.102977 0.994684i \(-0.467163\pi\)
0.102977 + 0.994684i \(0.467163\pi\)
\(608\) −9.90103 + 7.92473i −0.401540 + 0.321390i
\(609\) −6.86236 + 24.4763i −0.278077 + 0.991831i
\(610\) 1.20309 + 1.88958i 0.0487115 + 0.0765068i
\(611\) 1.62580 2.43318i 0.0657728 0.0984360i
\(612\) 5.69250 1.12156i 0.230106 0.0453365i
\(613\) 2.85290 14.3425i 0.115227 0.579287i −0.879428 0.476033i \(-0.842074\pi\)
0.994655 0.103255i \(-0.0329256\pi\)
\(614\) −21.7469 0.480324i −0.877635 0.0193843i
\(615\) −8.06808 6.34024i −0.325337 0.255663i
\(616\) 53.3210 + 26.3481i 2.14837 + 1.06160i
\(617\) 8.24754 + 19.9113i 0.332033 + 0.801599i 0.998431 + 0.0560025i \(0.0178355\pi\)
−0.666397 + 0.745597i \(0.732165\pi\)
\(618\) −2.39014 24.4955i −0.0961454 0.985354i
\(619\) −4.96359 7.42854i −0.199504 0.298578i 0.718206 0.695831i \(-0.244964\pi\)
−0.917709 + 0.397253i \(0.869964\pi\)
\(620\) −7.07728 + 9.64140i −0.284230 + 0.387208i
\(621\) 19.4875 27.0845i 0.782006 1.08686i
\(622\) −12.0998 + 2.13019i −0.485158 + 0.0854130i
\(623\) −26.1400 + 26.1400i −1.04728 + 1.04728i
\(624\) 1.08428 + 34.9471i 0.0434060 + 1.39900i
\(625\) 7.88915 + 7.88915i 0.315566 + 0.315566i
\(626\) −17.9708 12.5904i −0.718258 0.503215i
\(627\) 1.56511 20.2861i 0.0625046 0.810148i
\(628\) 1.86934 1.13298i 0.0745949 0.0452109i
\(629\) −4.82918 + 3.22675i −0.192552 + 0.128659i
\(630\) 13.8776 9.68520i 0.552898 0.385868i
\(631\) −30.3756 + 12.5820i −1.20923 + 0.500881i −0.893971 0.448124i \(-0.852092\pi\)
−0.315262 + 0.949005i \(0.602092\pi\)
\(632\) −0.380264 2.90636i −0.0151261 0.115609i
\(633\) −8.08712 6.35520i −0.321434 0.252597i
\(634\) −8.07411 8.43883i −0.320664 0.335149i
\(635\) 4.19509 + 0.834455i 0.166477 + 0.0331143i
\(636\) 10.9652 + 9.42903i 0.434800 + 0.373885i
\(637\) −38.2050 25.5278i −1.51374 1.01145i
\(638\) 26.4560 + 5.87256i 1.04740 + 0.232497i
\(639\) −16.6672 10.1432i −0.659344 0.401258i
\(640\) −1.73142 + 11.1112i −0.0684404 + 0.439208i
\(641\) 13.2130i 0.521881i −0.965355 0.260940i \(-0.915967\pi\)
0.965355 0.260940i \(-0.0840326\pi\)
\(642\) 20.9089 39.0325i 0.825209 1.54049i
\(643\) −8.38907 + 12.5551i −0.330832 + 0.495126i −0.959176 0.282810i \(-0.908733\pi\)
0.628343 + 0.777936i \(0.283733\pi\)
\(644\) −46.6989 21.8064i −1.84020 0.859293i
\(645\) −12.1376 6.16091i −0.477919 0.242586i
\(646\) −2.21521 + 2.11947i −0.0871562 + 0.0833894i
\(647\) 6.02373 14.5426i 0.236817 0.571727i −0.760133 0.649767i \(-0.774866\pi\)
0.996950 + 0.0780403i \(0.0248663\pi\)
\(648\) −20.9012 + 14.5306i −0.821078 + 0.570816i
\(649\) −1.36868 3.30428i −0.0537252 0.129704i
\(650\) 11.5392 26.2060i 0.452606 1.02788i
\(651\) 12.9842 + 39.7529i 0.508892 + 1.55804i
\(652\) 0.840291 + 1.38642i 0.0329083 + 0.0542966i
\(653\) −3.44866 17.3376i −0.134957 0.678472i −0.987727 0.156187i \(-0.950080\pi\)
0.852771 0.522285i \(-0.174920\pi\)
\(654\) −9.00118 10.9883i −0.351974 0.429677i
\(655\) 0.353597 0.353597i 0.0138162 0.0138162i
\(656\) 11.0313 21.1359i 0.430701 0.825218i
\(657\) 0.428735 0.104328i 0.0167265 0.00407022i
\(658\) −0.570604 3.24111i −0.0222445 0.126352i
\(659\) −9.02750 45.3843i −0.351661 1.76792i −0.600746 0.799440i \(-0.705130\pi\)
0.249085 0.968482i \(-0.419870\pi\)
\(660\) −11.1217 14.2057i −0.432912 0.552954i
\(661\) −17.0665 + 11.4035i −0.663809 + 0.443543i −0.841292 0.540581i \(-0.818205\pi\)
0.177483 + 0.984124i \(0.443205\pi\)
\(662\) −10.3628 26.6689i −0.402760 1.03651i
\(663\) 1.00641 + 8.39231i 0.0390855 + 0.325930i
\(664\) 18.0191 + 8.90399i 0.699278 + 0.345542i
\(665\) −3.42211 + 8.26171i −0.132704 + 0.320375i
\(666\) 13.7250 21.4704i 0.531833 0.831963i
\(667\) −23.0326 4.58147i −0.891825 0.177395i
\(668\) 11.1766 + 12.2102i 0.432436 + 0.472427i
\(669\) 4.21220 + 4.91650i 0.162853 + 0.190083i
\(670\) −12.4476 + 7.92532i −0.480892 + 0.306182i
\(671\) 8.35022i 0.322357i
\(672\) 28.0508 + 27.5540i 1.08208 + 1.06292i
\(673\) 39.9401i 1.53958i 0.638300 + 0.769788i \(0.279638\pi\)
−0.638300 + 0.769788i \(0.720362\pi\)
\(674\) −11.2316 17.6404i −0.432624 0.679483i
\(675\) 20.5753 3.35634i 0.791945 0.129186i
\(676\) −24.9122 1.10101i −0.958161 0.0423464i
\(677\) −4.42850 0.880884i −0.170201 0.0338551i 0.109254 0.994014i \(-0.465154\pi\)
−0.279455 + 0.960159i \(0.590154\pi\)
\(678\) 7.63568 25.0894i 0.293247 0.963553i
\(679\) 11.0720 26.7302i 0.424905 1.02581i
\(680\) −0.179970 + 2.71255i −0.00690155 + 0.104022i
\(681\) 6.17683 0.740725i 0.236697 0.0283846i
\(682\) 41.5562 16.1476i 1.59127 0.618322i
\(683\) −12.1355 + 8.10869i −0.464352 + 0.310270i −0.765647 0.643261i \(-0.777581\pi\)
0.301295 + 0.953531i \(0.402581\pi\)
\(684\) 5.17013 12.4180i 0.197685 0.474812i
\(685\) 0.956373 + 4.80801i 0.0365411 + 0.183705i
\(686\) −11.7651 + 2.07126i −0.449192 + 0.0790812i
\(687\) 42.0603 23.6401i 1.60470 0.901925i
\(688\) 8.88234 30.3533i 0.338636 1.15721i
\(689\) −14.8976 + 14.8976i −0.567552 + 0.567552i
\(690\) 9.90715 + 12.0943i 0.377159 + 0.460421i
\(691\) −6.14932 30.9147i −0.233931 1.17605i −0.901928 0.431887i \(-0.857848\pi\)
0.667996 0.744165i \(-0.267152\pi\)
\(692\) −9.65083 2.36700i −0.366869 0.0899798i
\(693\) −63.0269 + 2.67082i −2.39419 + 0.101456i
\(694\) 0.126763 + 0.0558175i 0.00481186 + 0.00211880i
\(695\) 8.68900 + 20.9771i 0.329593 + 0.795707i
\(696\) 15.4040 + 9.14899i 0.583887 + 0.346792i
\(697\) 2.20564 5.32489i 0.0835446 0.201695i
\(698\) 22.0518 + 23.0479i 0.834672 + 0.872376i
\(699\) −19.8693 + 39.1447i −0.751527 + 1.48059i
\(700\) −10.9974 30.2654i −0.415664 1.14392i
\(701\) 6.98670 10.4563i 0.263884 0.394931i −0.675739 0.737141i \(-0.736175\pi\)
0.939623 + 0.342210i \(0.111175\pi\)
\(702\) −18.8217 31.9536i −0.710379 1.20601i
\(703\) 13.4653i 0.507853i
\(704\) 27.6892 31.4717i 1.04358 1.18613i
\(705\) −0.269494 + 0.961220i −0.0101497 + 0.0362016i
\(706\) 8.91068 40.1428i 0.335358 1.51079i
\(707\) −34.2660 22.8958i −1.28870 0.861085i
\(708\) −0.177602 2.35780i −0.00667469 0.0886117i
\(709\) 43.9099 + 8.73421i 1.64907 + 0.328020i 0.930180 0.367104i \(-0.119651\pi\)
0.718889 + 0.695125i \(0.244651\pi\)
\(710\) 6.60549 6.32001i 0.247900 0.237186i
\(711\) 1.83513 + 2.50954i 0.0688227 + 0.0941152i
\(712\) 13.0093 + 22.5745i 0.487545 + 0.846015i
\(713\) −35.6933 + 14.7846i −1.33672 + 0.553689i
\(714\) 7.34239 + 6.03691i 0.274782 + 0.225926i
\(715\) 21.8538 14.6022i 0.817285 0.546092i
\(716\) 14.4037 + 3.53270i 0.538290 + 0.132023i
\(717\) 2.14313 + 0.165347i 0.0800368 + 0.00617501i
\(718\) 13.6240 19.4461i 0.508444 0.725721i
\(719\) 24.3513 + 24.3513i 0.908150 + 0.908150i 0.996123 0.0879732i \(-0.0280390\pi\)
−0.0879732 + 0.996123i \(0.528039\pi\)
\(720\) −4.05307 11.2177i −0.151049 0.418057i
\(721\) 28.5123 28.5123i 1.06185 1.06185i
\(722\) −3.42648 19.4629i −0.127520 0.724335i
\(723\) 0.259864 3.36821i 0.00966446 0.125265i
\(724\) 2.82258 + 18.4039i 0.104900 + 0.683975i
\(725\) −8.15164 12.1998i −0.302744 0.453089i
\(726\) 3.91443 + 40.1173i 0.145278 + 1.48889i
\(727\) 2.78741 + 6.72940i 0.103379 + 0.249580i 0.967103 0.254387i \(-0.0818736\pi\)
−0.863723 + 0.503966i \(0.831874\pi\)
\(728\) −43.0976 + 37.7346i −1.59730 + 1.39854i
\(729\) 12.0349 24.1694i 0.445737 0.895164i
\(730\) −0.00456530 + 0.206697i −0.000168969 + 0.00765018i
\(731\) 1.49158 7.49866i 0.0551679 0.277348i
\(732\) 1.72352 5.24448i 0.0637031 0.193842i
\(733\) −4.59999 + 6.88437i −0.169904 + 0.254280i −0.906644 0.421897i \(-0.861364\pi\)
0.736739 + 0.676177i \(0.236364\pi\)
\(734\) 29.9987 19.1000i 1.10727 0.704994i
\(735\) 15.0928 + 4.23151i 0.556705 + 0.156082i
\(736\) −23.3864 + 27.7954i −0.862033 + 1.02455i
\(737\) 55.0070 2.02621
\(738\) 0.512473 + 25.2825i 0.0188644 + 0.930663i
\(739\) 9.60076 + 6.41502i 0.353170 + 0.235980i 0.719481 0.694512i \(-0.244380\pi\)
−0.366312 + 0.930492i \(0.619380\pi\)
\(740\) 8.06176 + 8.80730i 0.296356 + 0.323763i
\(741\) 17.4740 + 8.86957i 0.641923 + 0.325832i
\(742\) −0.523185 + 23.6875i −0.0192067 + 0.869594i
\(743\) −22.3975 9.27734i −0.821684 0.340353i −0.0680787 0.997680i \(-0.521687\pi\)
−0.753605 + 0.657327i \(0.771687\pi\)
\(744\) 29.4329 1.56435i 1.07906 0.0573520i
\(745\) −0.801287 + 0.331904i −0.0293569 + 0.0121600i
\(746\) −33.7238 + 13.1041i −1.23472 + 0.479776i
\(747\) −21.2991 + 0.902566i −0.779294 + 0.0330232i
\(748\) 5.99650 8.16905i 0.219254 0.298690i
\(749\) 71.1517 14.1529i 2.59983 0.517137i
\(750\) −2.17046 + 21.8338i −0.0792542 + 0.797258i
\(751\) −5.97994 5.97994i −0.218211 0.218211i 0.589533 0.807744i \(-0.299312\pi\)
−0.807744 + 0.589533i \(0.799312\pi\)
\(752\) −2.31043 0.204621i −0.0842526 0.00746175i
\(753\) −18.3053 32.5688i −0.667083 1.18687i
\(754\) −14.9765 + 21.3765i −0.545411 + 0.778485i
\(755\) −15.3775 + 3.05878i −0.559646 + 0.111320i
\(756\) −40.1363 11.3316i −1.45974 0.412125i
\(757\) −13.3796 20.0239i −0.486288 0.727782i 0.504469 0.863430i \(-0.331688\pi\)
−0.990757 + 0.135648i \(0.956688\pi\)
\(758\) −40.3412 17.7634i −1.46526 0.645196i
\(759\) −6.93901 57.8637i −0.251870 2.10032i
\(760\) 4.99713 + 3.84079i 0.181265 + 0.139320i
\(761\) 41.9677 + 17.3836i 1.52133 + 0.630155i 0.977857 0.209273i \(-0.0671097\pi\)
0.543471 + 0.839428i \(0.317110\pi\)
\(762\) −4.96050 9.30076i −0.179700 0.336931i
\(763\) 4.54005 22.8244i 0.164361 0.826298i
\(764\) 33.9562 + 15.8561i 1.22849 + 0.573654i
\(765\) −1.21523 2.61483i −0.0439368 0.0945393i
\(766\) −11.0984 + 49.9985i −0.401001 + 1.80652i
\(767\) 3.44465 0.124379
\(768\) 23.8865 14.0511i 0.861930 0.507027i
\(769\) −17.5017 −0.631126 −0.315563 0.948905i \(-0.602193\pi\)
−0.315563 + 0.948905i \(0.602193\pi\)
\(770\) 6.40521 28.8556i 0.230828 1.03988i
\(771\) −14.4714 + 12.3983i −0.521174 + 0.446514i
\(772\) −18.7536 8.75712i −0.674956 0.315176i
\(773\) −5.07740 + 25.5258i −0.182621 + 0.918100i 0.775415 + 0.631452i \(0.217541\pi\)