Properties

Label 162.3.h.a.5.15
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.15
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 + 1.37609i) q^{2} +(1.73974 - 2.44404i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-6.68826 + 4.97922i) q^{5} +(3.93062 + 1.59694i) q^{6} +(-10.2458 + 6.73874i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(-2.94663 - 8.50396i) q^{9} +O(q^{10})\) \(q+(0.326140 + 1.37609i) q^{2} +(1.73974 - 2.44404i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-6.68826 + 4.97922i) q^{5} +(3.93062 + 1.59694i) q^{6} +(-10.2458 + 6.73874i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(-2.94663 - 8.50396i) q^{9} +(-9.03318 - 7.57974i) q^{10} +(1.17083 - 10.0171i) q^{11} +(-0.915608 + 5.92973i) q^{12} +(3.87270 + 12.9357i) q^{13} +(-12.6147 - 11.9013i) q^{14} +(0.533594 + 25.0089i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-9.14019 - 1.61166i) q^{17} +(10.7412 - 6.82832i) q^{18} +(4.22162 + 23.9420i) q^{19} +(7.48435 - 14.9026i) q^{20} +(-1.35520 + 36.7647i) q^{21} +(14.1663 - 1.65580i) q^{22} +(-9.36417 + 14.2375i) q^{23} +(-8.45847 + 0.673959i) q^{24} +(12.7700 - 42.6549i) q^{25} +(-16.5377 + 9.54804i) q^{26} +(-25.9104 - 7.59299i) q^{27} +(12.2632 - 21.2405i) q^{28} +(39.9428 - 37.6841i) q^{29} +(-34.2405 + 8.89067i) q^{30} +(-1.02508 + 17.6000i) q^{31} +(5.19421 + 2.24057i) q^{32} +(-22.4451 - 20.2886i) q^{33} +(-0.763185 - 13.1034i) q^{34} +(34.9726 - 96.0863i) q^{35} +(12.8996 + 12.5539i) q^{36} +(-13.3742 + 4.86780i) q^{37} +(-31.5696 + 13.6178i) q^{38} +(38.3528 + 13.0397i) q^{39} +(22.9483 + 5.43884i) q^{40} +(-12.3914 + 52.2835i) q^{41} +(-51.0336 + 10.1256i) q^{42} +(9.85169 + 22.8388i) q^{43} +(6.89872 + 18.9541i) q^{44} +(62.0509 + 42.2048i) q^{45} +(-22.6462 - 8.24254i) q^{46} +(-61.2180 + 3.56554i) q^{47} +(-3.68608 - 11.4198i) q^{48} +(40.1570 - 93.0945i) q^{49} +(62.8619 + 3.66129i) q^{50} +(-19.8405 + 19.5351i) q^{51} +(-18.5326 - 19.6434i) q^{52} +(-41.0042 - 23.6738i) q^{53} +(1.99825 - 38.1314i) q^{54} +(42.0464 + 72.8265i) q^{55} +(33.2284 + 9.94794i) q^{56} +(65.8596 + 31.3350i) q^{57} +(64.8837 + 42.6747i) q^{58} +(0.286312 + 2.44956i) q^{59} +(-23.4016 - 44.2186i) q^{60} +(51.1488 + 25.6879i) q^{61} +(-24.5535 + 4.32945i) q^{62} +(87.4965 + 67.2730i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-90.3113 - 67.2343i) q^{65} +(20.5987 - 37.5035i) q^{66} +(-57.4616 + 60.9057i) q^{67} +(17.7826 - 5.32375i) q^{68} +(18.5058 + 47.6559i) q^{69} +(143.630 + 16.7879i) q^{70} +(17.4693 - 20.8191i) q^{71} +(-13.0683 + 21.8453i) q^{72} +(29.6557 - 24.8841i) q^{73} +(-11.0604 - 16.8165i) q^{74} +(-82.0336 - 105.419i) q^{75} +(-29.0354 - 39.0014i) q^{76} +(55.5064 + 110.522i) q^{77} +(-5.43548 + 57.0298i) q^{78} +(17.8645 - 4.23396i) q^{79} +33.3528i q^{80} +(-63.6347 + 50.1161i) q^{81} -75.9883 q^{82} +(-13.6865 - 57.7480i) q^{83} +(-30.5778 - 66.9246i) q^{84} +(69.1568 - 34.7318i) q^{85} +(-28.2153 + 21.0055i) q^{86} +(-22.6113 - 163.182i) q^{87} +(-23.8326 + 15.6750i) q^{88} +(28.5879 + 34.0698i) q^{89} +(-37.8404 + 99.1525i) q^{90} +(-126.849 - 106.439i) q^{91} +(3.95667 - 33.8515i) q^{92} +(41.2316 + 33.1247i) q^{93} +(-24.8722 - 83.0788i) q^{94} +(-147.448 - 139.110i) q^{95} +(14.5126 - 8.79686i) q^{96} +(-46.5366 + 62.5095i) q^{97} +(141.203 + 24.8980i) q^{98} +(-88.6347 + 19.5599i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326140 + 1.37609i 0.163070 + 0.688047i
\(3\) 1.73974 2.44404i 0.579912 0.814679i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −6.68826 + 4.97922i −1.33765 + 0.995844i −0.339172 + 0.940725i \(0.610147\pi\)
−0.998480 + 0.0551199i \(0.982446\pi\)
\(6\) 3.93062 + 1.59694i 0.655103 + 0.266157i
\(7\) −10.2458 + 6.73874i −1.46368 + 0.962677i −0.466749 + 0.884390i \(0.654575\pi\)
−0.996931 + 0.0782876i \(0.975055\pi\)
\(8\) −1.81808 2.16670i −0.227260 0.270838i
\(9\) −2.94663 8.50396i −0.327403 0.944885i
\(10\) −9.03318 7.57974i −0.903318 0.757974i
\(11\) 1.17083 10.0171i 0.106439 0.910642i −0.829507 0.558497i \(-0.811378\pi\)
0.935945 0.352145i \(-0.114548\pi\)
\(12\) −0.915608 + 5.92973i −0.0763007 + 0.494144i
\(13\) 3.87270 + 12.9357i 0.297900 + 0.995054i 0.967614 + 0.252435i \(0.0812315\pi\)
−0.669714 + 0.742619i \(0.733583\pi\)
\(14\) −12.6147 11.9013i −0.901049 0.850096i
\(15\) 0.533594 + 25.0089i 0.0355730 + 1.66726i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −9.14019 1.61166i −0.537658 0.0948037i −0.101776 0.994807i \(-0.532453\pi\)
−0.435882 + 0.900004i \(0.643564\pi\)
\(18\) 10.7412 6.82832i 0.596735 0.379351i
\(19\) 4.22162 + 23.9420i 0.222190 + 1.26010i 0.867984 + 0.496592i \(0.165416\pi\)
−0.645794 + 0.763512i \(0.723473\pi\)
\(20\) 7.48435 14.9026i 0.374217 0.745128i
\(21\) −1.35520 + 36.7647i −0.0645331 + 1.75070i
\(22\) 14.1663 1.65580i 0.643921 0.0752636i
\(23\) −9.36417 + 14.2375i −0.407138 + 0.619023i −0.979612 0.200900i \(-0.935613\pi\)
0.572474 + 0.819923i \(0.305984\pi\)
\(24\) −8.45847 + 0.673959i −0.352436 + 0.0280816i
\(25\) 12.7700 42.6549i 0.510801 1.70620i
\(26\) −16.5377 + 9.54804i −0.636065 + 0.367232i
\(27\) −25.9104 7.59299i −0.959643 0.281222i
\(28\) 12.2632 21.2405i 0.437972 0.758589i
\(29\) 39.9428 37.6841i 1.37734 1.29945i 0.467797 0.883836i \(-0.345048\pi\)
0.909541 0.415615i \(-0.136433\pi\)
\(30\) −34.2405 + 8.89067i −1.14135 + 0.296356i
\(31\) −1.02508 + 17.6000i −0.0330672 + 0.567741i 0.940564 + 0.339615i \(0.110297\pi\)
−0.973632 + 0.228126i \(0.926740\pi\)
\(32\) 5.19421 + 2.24057i 0.162319 + 0.0700177i
\(33\) −22.4451 20.2886i −0.680156 0.614806i
\(34\) −0.763185 13.1034i −0.0224466 0.385394i
\(35\) 34.9726 96.0863i 0.999216 2.74532i
\(36\) 12.8996 + 12.5539i 0.358321 + 0.348721i
\(37\) −13.3742 + 4.86780i −0.361464 + 0.131562i −0.516367 0.856368i \(-0.672716\pi\)
0.154903 + 0.987930i \(0.450494\pi\)
\(38\) −31.5696 + 13.6178i −0.830778 + 0.358363i
\(39\) 38.3528 + 13.0397i 0.983405 + 0.334352i
\(40\) 22.9483 + 5.43884i 0.573706 + 0.135971i
\(41\) −12.3914 + 52.2835i −0.302230 + 1.27521i 0.583921 + 0.811810i \(0.301518\pi\)
−0.886151 + 0.463397i \(0.846630\pi\)
\(42\) −51.0336 + 10.1256i −1.21509 + 0.241085i
\(43\) 9.85169 + 22.8388i 0.229109 + 0.531135i 0.993528 0.113585i \(-0.0362334\pi\)
−0.764419 + 0.644720i \(0.776974\pi\)
\(44\) 6.89872 + 18.9541i 0.156789 + 0.430774i
\(45\) 62.0509 + 42.2048i 1.37891 + 0.937883i
\(46\) −22.6462 8.24254i −0.492309 0.179186i
\(47\) −61.2180 + 3.56554i −1.30251 + 0.0758626i −0.695324 0.718697i \(-0.744739\pi\)
−0.607187 + 0.794559i \(0.707702\pi\)
\(48\) −3.68608 11.4198i −0.0767933 0.237913i
\(49\) 40.1570 93.0945i 0.819531 1.89989i
\(50\) 62.8619 + 3.66129i 1.25724 + 0.0732258i
\(51\) −19.8405 + 19.5351i −0.389029 + 0.383041i
\(52\) −18.5326 19.6434i −0.356396 0.377758i
\(53\) −41.0042 23.6738i −0.773665 0.446676i 0.0605156 0.998167i \(-0.480726\pi\)
−0.834180 + 0.551492i \(0.814059\pi\)
\(54\) 1.99825 38.1314i 0.0370047 0.706138i
\(55\) 42.0464 + 72.8265i 0.764480 + 1.32412i
\(56\) 33.2284 + 9.94794i 0.593365 + 0.177642i
\(57\) 65.8596 + 31.3350i 1.15543 + 0.549736i
\(58\) 64.8837 + 42.6747i 1.11869 + 0.735771i
\(59\) 0.286312 + 2.44956i 0.00485275 + 0.0415179i 0.995448 0.0953086i \(-0.0303838\pi\)
−0.990595 + 0.136827i \(0.956310\pi\)
\(60\) −23.4016 44.2186i −0.390027 0.736976i
\(61\) 51.1488 + 25.6879i 0.838505 + 0.421113i 0.815594 0.578625i \(-0.196410\pi\)
0.0229107 + 0.999738i \(0.492707\pi\)
\(62\) −24.5535 + 4.32945i −0.396025 + 0.0698298i
\(63\) 87.4965 + 67.2730i 1.38883 + 1.06782i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −90.3113 67.2343i −1.38941 1.03437i
\(66\) 20.5987 37.5035i 0.312102 0.568235i
\(67\) −57.4616 + 60.9057i −0.857636 + 0.909041i −0.996694 0.0812432i \(-0.974111\pi\)
0.139058 + 0.990284i \(0.455592\pi\)
\(68\) 17.7826 5.32375i 0.261508 0.0782905i
\(69\) 18.5058 + 47.6559i 0.268201 + 0.690666i
\(70\) 143.630 + 16.7879i 2.05185 + 0.239827i
\(71\) 17.4693 20.8191i 0.246046 0.293227i −0.628860 0.777518i \(-0.716478\pi\)
0.874907 + 0.484292i \(0.160923\pi\)
\(72\) −13.0683 + 21.8453i −0.181505 + 0.303407i
\(73\) 29.6557 24.8841i 0.406243 0.340878i −0.416658 0.909063i \(-0.636799\pi\)
0.822901 + 0.568185i \(0.192354\pi\)
\(74\) −11.0604 16.8165i −0.149465 0.227250i
\(75\) −82.0336 105.419i −1.09378 1.40558i
\(76\) −29.0354 39.0014i −0.382045 0.513176i
\(77\) 55.5064 + 110.522i 0.720862 + 1.43535i
\(78\) −5.43548 + 57.0298i −0.0696856 + 0.731152i
\(79\) 17.8645 4.23396i 0.226133 0.0535944i −0.115987 0.993251i \(-0.537003\pi\)
0.342120 + 0.939656i \(0.388855\pi\)
\(80\) 33.3528i 0.416910i
\(81\) −63.6347 + 50.1161i −0.785614 + 0.618717i
\(82\) −75.9883 −0.926687
\(83\) −13.6865 57.7480i −0.164898 0.695759i −0.991182 0.132506i \(-0.957698\pi\)
0.826284 0.563253i \(-0.190450\pi\)
\(84\) −30.5778 66.9246i −0.364021 0.796721i
\(85\) 69.1568 34.7318i 0.813609 0.408610i
\(86\) −28.2153 + 21.0055i −0.328084 + 0.244250i
\(87\) −22.6113 163.182i −0.259900 1.87566i
\(88\) −23.8326 + 15.6750i −0.270825 + 0.178125i
\(89\) 28.5879 + 34.0698i 0.321213 + 0.382806i 0.902354 0.430997i \(-0.141838\pi\)
−0.581141 + 0.813803i \(0.697393\pi\)
\(90\) −37.8404 + 99.1525i −0.420449 + 1.10169i
\(91\) −126.849 106.439i −1.39395 1.16966i
\(92\) 3.95667 33.8515i 0.0430073 0.367951i
\(93\) 41.2316 + 33.1247i 0.443351 + 0.356179i
\(94\) −24.8722 83.0788i −0.264597 0.883817i
\(95\) −147.448 139.110i −1.55208 1.46431i
\(96\) 14.5126 8.79686i 0.151173 0.0916339i
\(97\) −46.5366 + 62.5095i −0.479759 + 0.644428i −0.974440 0.224646i \(-0.927877\pi\)
0.494681 + 0.869074i \(0.335285\pi\)
\(98\) 141.203 + 24.8980i 1.44085 + 0.254061i
\(99\) −88.6347 + 19.5599i −0.895300 + 0.197575i
\(100\) 15.4635 + 87.6980i 0.154635 + 0.876980i
\(101\) −44.2785 + 88.1657i −0.438401 + 0.872927i 0.560594 + 0.828091i \(0.310573\pi\)
−0.998994 + 0.0448364i \(0.985723\pi\)
\(102\) −33.3529 20.9312i −0.326989 0.205208i
\(103\) −24.8026 + 2.89901i −0.240802 + 0.0281458i −0.235638 0.971841i \(-0.575718\pi\)
−0.00516442 + 0.999987i \(0.501644\pi\)
\(104\) 20.9869 31.9091i 0.201798 0.306818i
\(105\) −173.995 252.639i −1.65710 2.40609i
\(106\) 19.2042 64.1466i 0.181172 0.605157i
\(107\) 9.40845 5.43197i 0.0879294 0.0507661i −0.455391 0.890292i \(-0.650500\pi\)
0.543320 + 0.839526i \(0.317167\pi\)
\(108\) 53.1241 9.68641i 0.491890 0.0896890i
\(109\) −64.4152 + 111.570i −0.590965 + 1.02358i 0.403138 + 0.915139i \(0.367920\pi\)
−0.994103 + 0.108442i \(0.965414\pi\)
\(110\) −86.5030 + 81.6114i −0.786391 + 0.741922i
\(111\) −11.3705 + 41.1556i −0.102436 + 0.370771i
\(112\) −2.85217 + 48.9698i −0.0254658 + 0.437231i
\(113\) 104.365 + 45.0188i 0.923587 + 0.398397i 0.804137 0.594444i \(-0.202628\pi\)
0.119450 + 0.992840i \(0.461887\pi\)
\(114\) −21.6404 + 100.849i −0.189828 + 0.884636i
\(115\) −8.26185 141.851i −0.0718422 1.23348i
\(116\) −37.5632 + 103.204i −0.323821 + 0.889690i
\(117\) 98.5934 71.0500i 0.842678 0.607265i
\(118\) −3.27744 + 1.19289i −0.0277749 + 0.0101092i
\(119\) 104.509 45.0807i 0.878225 0.378829i
\(120\) 53.2166 46.6242i 0.443472 0.388535i
\(121\) 18.7677 + 4.44804i 0.155105 + 0.0367606i
\(122\) −18.6673 + 78.7634i −0.153010 + 0.645601i
\(123\) 106.225 + 121.245i 0.863618 + 0.985729i
\(124\) −13.9656 32.3759i −0.112626 0.261096i
\(125\) 55.6832 + 152.988i 0.445466 + 1.22391i
\(126\) −64.0378 + 142.344i −0.508236 + 1.12971i
\(127\) −35.9897 13.0992i −0.283384 0.103143i 0.196418 0.980520i \(-0.437069\pi\)
−0.479801 + 0.877377i \(0.659291\pi\)
\(128\) −11.2946 + 0.657834i −0.0882388 + 0.00513933i
\(129\) 72.9582 + 15.6556i 0.565567 + 0.121361i
\(130\) 63.0665 146.205i 0.485127 1.12465i
\(131\) −120.135 6.99708i −0.917062 0.0534128i −0.406882 0.913481i \(-0.633384\pi\)
−0.510180 + 0.860068i \(0.670421\pi\)
\(132\) 58.3264 + 16.1144i 0.441867 + 0.122079i
\(133\) −204.593 216.855i −1.53829 1.63049i
\(134\) −102.553 59.2087i −0.765317 0.441856i
\(135\) 211.102 78.2296i 1.56372 0.579478i
\(136\) 13.1256 + 22.7342i 0.0965117 + 0.167163i
\(137\) 101.207 + 30.2994i 0.738738 + 0.221164i 0.633996 0.773336i \(-0.281413\pi\)
0.104741 + 0.994500i \(0.466599\pi\)
\(138\) −59.5435 + 41.0083i −0.431475 + 0.297161i
\(139\) −48.9391 32.1877i −0.352080 0.231566i 0.361133 0.932514i \(-0.382390\pi\)
−0.713212 + 0.700948i \(0.752760\pi\)
\(140\) 23.7417 + 203.123i 0.169583 + 1.45088i
\(141\) −97.7889 + 155.822i −0.693538 + 1.10512i
\(142\) 34.3464 + 17.2494i 0.241876 + 0.121475i
\(143\) 134.112 23.6476i 0.937846 0.165368i
\(144\) −34.3233 10.8586i −0.238356 0.0754070i
\(145\) −79.5102 + 450.925i −0.548346 + 3.10983i
\(146\) 43.9148 + 32.6933i 0.300786 + 0.223927i
\(147\) −157.664 260.105i −1.07254 1.76942i
\(148\) 19.5338 20.7047i 0.131985 0.139896i
\(149\) −10.5490 + 3.15815i −0.0707984 + 0.0211957i −0.322007 0.946737i \(-0.604357\pi\)
0.251208 + 0.967933i \(0.419172\pi\)
\(150\) 118.312 147.267i 0.788744 0.981781i
\(151\) −137.699 16.0947i −0.911913 0.106587i −0.352819 0.935692i \(-0.614777\pi\)
−0.559094 + 0.829104i \(0.688851\pi\)
\(152\) 44.1999 52.6754i 0.290789 0.346549i
\(153\) 13.2272 + 82.4768i 0.0864526 + 0.539064i
\(154\) −133.986 + 112.428i −0.870040 + 0.730050i
\(155\) −80.7782 122.817i −0.521149 0.792369i
\(156\) −80.2511 + 11.1200i −0.514430 + 0.0712820i
\(157\) 116.933 + 157.069i 0.744797 + 1.00044i 0.999442 + 0.0334018i \(0.0106341\pi\)
−0.254645 + 0.967035i \(0.581959\pi\)
\(158\) 11.6526 + 23.2023i 0.0737509 + 0.146850i
\(159\) −129.196 + 59.0297i −0.812555 + 0.371256i
\(160\) −45.8965 + 10.8777i −0.286853 + 0.0679855i
\(161\) 208.977i 1.29799i
\(162\) −89.7182 71.2225i −0.553816 0.439645i
\(163\) −137.981 −0.846507 −0.423254 0.906011i \(-0.639112\pi\)
−0.423254 + 0.906011i \(0.639112\pi\)
\(164\) −24.7828 104.567i −0.151115 0.637604i
\(165\) 251.140 + 23.9360i 1.52206 + 0.145067i
\(166\) 75.0029 37.6679i 0.451825 0.226915i
\(167\) 52.6686 39.2103i 0.315381 0.234792i −0.427815 0.903866i \(-0.640717\pi\)
0.743196 + 0.669074i \(0.233309\pi\)
\(168\) 82.1219 63.9047i 0.488821 0.380385i
\(169\) −11.1373 + 7.32511i −0.0659011 + 0.0433439i
\(170\) 70.3490 + 83.8387i 0.413818 + 0.493169i
\(171\) 191.162 106.449i 1.11791 0.622507i
\(172\) −38.1076 31.9761i −0.221556 0.185908i
\(173\) 8.64157 73.9334i 0.0499513 0.427361i −0.945005 0.327055i \(-0.893944\pi\)
0.994957 0.100306i \(-0.0319821\pi\)
\(174\) 217.179 84.3355i 1.24816 0.484687i
\(175\) 156.602 + 523.086i 0.894866 + 2.98906i
\(176\) −29.3430 27.6837i −0.166722 0.157294i
\(177\) 6.48491 + 3.56183i 0.0366379 + 0.0201233i
\(178\) −37.5595 + 50.4512i −0.211008 + 0.283434i
\(179\) 134.521 + 23.7198i 0.751516 + 0.132513i 0.536269 0.844047i \(-0.319833\pi\)
0.215247 + 0.976560i \(0.430944\pi\)
\(180\) −148.784 19.7343i −0.826580 0.109635i
\(181\) −37.5179 212.774i −0.207281 1.17555i −0.893810 0.448447i \(-0.851977\pi\)
0.686529 0.727103i \(-0.259134\pi\)
\(182\) 105.099 209.270i 0.577470 1.14984i
\(183\) 151.768 80.3193i 0.829331 0.438904i
\(184\) 47.8733 5.59558i 0.260181 0.0304108i
\(185\) 65.2120 99.1500i 0.352497 0.535946i
\(186\) −32.1353 + 67.5418i −0.172771 + 0.363128i
\(187\) −26.8457 + 89.6709i −0.143560 + 0.479523i
\(188\) 106.212 61.3217i 0.564959 0.326179i
\(189\) 316.638 96.8073i 1.67534 0.512208i
\(190\) 143.339 248.271i 0.754418 1.30669i
\(191\) −134.519 + 126.913i −0.704290 + 0.664464i −0.952603 0.304216i \(-0.901605\pi\)
0.248313 + 0.968680i \(0.420124\pi\)
\(192\) 16.8384 + 17.1017i 0.0877002 + 0.0890712i
\(193\) 4.34036 74.5212i 0.0224889 0.386120i −0.968218 0.250107i \(-0.919534\pi\)
0.990707 0.136013i \(-0.0434288\pi\)
\(194\) −101.196 43.6519i −0.521631 0.225010i
\(195\) −321.441 + 103.754i −1.64842 + 0.532073i
\(196\) 11.7902 + 202.429i 0.0601539 + 1.03280i
\(197\) 21.1783 58.1870i 0.107504 0.295365i −0.874263 0.485453i \(-0.838655\pi\)
0.981767 + 0.190087i \(0.0608771\pi\)
\(198\) −55.8236 115.590i −0.281937 0.583790i
\(199\) 272.466 99.1696i 1.36918 0.498340i 0.450298 0.892879i \(-0.351318\pi\)
0.918879 + 0.394539i \(0.129096\pi\)
\(200\) −115.637 + 49.8811i −0.578187 + 0.249405i
\(201\) 48.8878 + 246.398i 0.243223 + 1.22586i
\(202\) −135.765 32.1769i −0.672105 0.159292i
\(203\) −155.301 + 655.266i −0.765029 + 3.22791i
\(204\) 17.9256 52.7232i 0.0878704 0.258447i
\(205\) −177.454 411.385i −0.865630 2.00676i
\(206\) −12.0785 33.1853i −0.0586333 0.161094i
\(207\) 148.668 + 37.6798i 0.718204 + 0.182028i
\(208\) 50.7546 + 18.4732i 0.244012 + 0.0888132i
\(209\) 244.771 14.2563i 1.17115 0.0682119i
\(210\) 290.908 321.830i 1.38528 1.53252i
\(211\) −22.1662 + 51.3869i −0.105053 + 0.243540i −0.962632 0.270811i \(-0.912708\pi\)
0.857580 + 0.514351i \(0.171967\pi\)
\(212\) 94.5350 + 5.50604i 0.445920 + 0.0259719i
\(213\) −20.4906 78.9153i −0.0962002 0.370494i
\(214\) 10.5434 + 11.1753i 0.0492681 + 0.0522211i
\(215\) −179.610 103.698i −0.835395 0.482316i
\(216\) 30.6553 + 69.9446i 0.141923 + 0.323818i
\(217\) −108.099 187.233i −0.498152 0.862824i
\(218\) −174.540 52.2537i −0.800640 0.239696i
\(219\) −9.22451 115.772i −0.0421210 0.528637i
\(220\) −140.517 92.4195i −0.638714 0.420089i
\(221\) −14.5492 124.476i −0.0658335 0.563241i
\(222\) −60.3423 2.22430i −0.271812 0.0100194i
\(223\) −204.398 102.653i −0.916584 0.460326i −0.0730057 0.997332i \(-0.523259\pi\)
−0.843579 + 0.537006i \(0.819555\pi\)
\(224\) −68.3173 + 12.0462i −0.304988 + 0.0537776i
\(225\) −400.364 + 17.0923i −1.77940 + 0.0759657i
\(226\) −27.9124 + 158.299i −0.123506 + 0.700437i
\(227\) −18.2687 13.6006i −0.0804790 0.0599144i 0.556167 0.831070i \(-0.312271\pi\)
−0.636646 + 0.771156i \(0.719679\pi\)
\(228\) −145.835 + 3.11156i −0.639626 + 0.0136472i
\(229\) −149.896 + 158.881i −0.654568 + 0.693802i −0.966606 0.256268i \(-0.917507\pi\)
0.312037 + 0.950070i \(0.398989\pi\)
\(230\) 192.505 57.6322i 0.836978 0.250575i
\(231\) 366.687 + 56.6201i 1.58739 + 0.245109i
\(232\) −154.269 18.0315i −0.664953 0.0777219i
\(233\) 124.431 148.292i 0.534040 0.636444i −0.429800 0.902924i \(-0.641416\pi\)
0.963841 + 0.266480i \(0.0858605\pi\)
\(234\) 129.927 + 112.501i 0.555242 + 0.480775i
\(235\) 391.688 328.665i 1.66676 1.39858i
\(236\) −2.71043 4.12101i −0.0114849 0.0174619i
\(237\) 20.7315 51.0274i 0.0874748 0.215305i
\(238\) 96.1197 + 129.111i 0.403864 + 0.542484i
\(239\) 77.5664 + 154.447i 0.324546 + 0.646224i 0.995446 0.0953237i \(-0.0303886\pi\)
−0.670901 + 0.741547i \(0.734092\pi\)
\(240\) 81.5154 + 58.0250i 0.339647 + 0.241771i
\(241\) 431.409 102.246i 1.79008 0.424256i 0.804566 0.593864i \(-0.202398\pi\)
0.985512 + 0.169608i \(0.0542501\pi\)
\(242\) 27.2769i 0.112714i
\(243\) 11.7778 + 242.714i 0.0484682 + 0.998825i
\(244\) −114.474 −0.469155
\(245\) 194.958 + 822.590i 0.795745 + 3.35751i
\(246\) −132.200 + 185.718i −0.537397 + 0.754952i
\(247\) −293.357 + 147.330i −1.18768 + 0.596476i
\(248\) 39.9976 29.7771i 0.161280 0.120069i
\(249\) −164.949 67.0160i −0.662447 0.269140i
\(250\) −192.366 + 126.521i −0.769463 + 0.506084i
\(251\) 284.183 + 338.676i 1.13220 + 1.34931i 0.928960 + 0.370180i \(0.120704\pi\)
0.203244 + 0.979128i \(0.434851\pi\)
\(252\) −216.764 41.6980i −0.860173 0.165468i
\(253\) 131.654 + 110.471i 0.520373 + 0.436645i
\(254\) 6.28801 53.7974i 0.0247559 0.211801i
\(255\) 35.4287 229.446i 0.138936 0.899788i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 9.28723 + 8.76205i 0.0361371 + 0.0340936i 0.704098 0.710102i \(-0.251351\pi\)
−0.667961 + 0.744196i \(0.732833\pi\)
\(258\) 2.25104 + 105.503i 0.00872495 + 0.408927i
\(259\) 104.226 139.999i 0.402415 0.540538i
\(260\) 221.760 + 39.1022i 0.852922 + 0.150393i
\(261\) −438.161 228.631i −1.67878 0.875980i
\(262\) −29.5523 167.599i −0.112795 0.639692i
\(263\) −123.230 + 245.372i −0.468557 + 0.932973i 0.527935 + 0.849285i \(0.322966\pi\)
−0.996492 + 0.0836886i \(0.973330\pi\)
\(264\) −3.15232 + 85.5181i −0.0119406 + 0.323932i
\(265\) 392.124 45.8327i 1.47971 0.172954i
\(266\) 231.687 352.264i 0.871005 1.32430i
\(267\) 133.003 10.5975i 0.498139 0.0396910i
\(268\) 48.0302 160.432i 0.179217 0.598627i
\(269\) −61.8487 + 35.7083i −0.229921 + 0.132745i −0.610535 0.791989i \(-0.709046\pi\)
0.380615 + 0.924734i \(0.375712\pi\)
\(270\) 176.500 + 264.983i 0.653704 + 0.981417i
\(271\) 200.309 346.945i 0.739147 1.28024i −0.213733 0.976892i \(-0.568562\pi\)
0.952880 0.303348i \(-0.0981043\pi\)
\(272\) −27.0036 + 25.4766i −0.0992779 + 0.0936639i
\(273\) −480.825 + 124.848i −1.76126 + 0.457318i
\(274\) −8.68713 + 149.152i −0.0317048 + 0.544351i
\(275\) −412.325 177.860i −1.49936 0.646763i
\(276\) −75.8508 68.5630i −0.274822 0.248417i
\(277\) 24.0335 + 412.639i 0.0867635 + 1.48967i 0.708091 + 0.706121i \(0.249557\pi\)
−0.621328 + 0.783551i \(0.713406\pi\)
\(278\) 28.3323 77.8424i 0.101915 0.280009i
\(279\) 152.690 43.1434i 0.547276 0.154636i
\(280\) −271.773 + 98.9174i −0.970619 + 0.353276i
\(281\) 187.062 80.6905i 0.665699 0.287155i −0.0362909 0.999341i \(-0.511554\pi\)
0.701990 + 0.712187i \(0.252295\pi\)
\(282\) −246.319 83.7468i −0.873470 0.296974i
\(283\) 192.706 + 45.6723i 0.680941 + 0.161386i 0.556508 0.830842i \(-0.312141\pi\)
0.124433 + 0.992228i \(0.460289\pi\)
\(284\) −12.5351 + 52.8896i −0.0441376 + 0.186231i
\(285\) −596.510 + 118.353i −2.09302 + 0.415275i
\(286\) 76.2806 + 176.838i 0.266715 + 0.618315i
\(287\) −225.366 619.187i −0.785246 2.15744i
\(288\) 3.74826 50.7735i 0.0130148 0.176297i
\(289\) −190.626 69.3820i −0.659604 0.240076i
\(290\) −646.446 + 37.6512i −2.22912 + 0.129832i
\(291\) 71.8141 + 222.487i 0.246784 + 0.764562i
\(292\) −30.6667 + 71.0934i −0.105023 + 0.243471i
\(293\) −418.805 24.3926i −1.42937 0.0832513i −0.674087 0.738652i \(-0.735463\pi\)
−0.755282 + 0.655400i \(0.772500\pi\)
\(294\) 306.509 301.791i 1.04255 1.02650i
\(295\) −14.1118 14.9577i −0.0478367 0.0507039i
\(296\) 34.8623 + 20.1278i 0.117778 + 0.0679992i
\(297\) −106.396 + 250.656i −0.358235 + 0.843958i
\(298\) −7.78636 13.4864i −0.0261287 0.0452563i
\(299\) −220.437 65.9945i −0.737248 0.220718i
\(300\) 241.240 + 114.778i 0.804132 + 0.382593i
\(301\) −254.843 167.613i −0.846654 0.556853i
\(302\) −22.7613 194.736i −0.0753686 0.644820i
\(303\) 138.447 + 261.603i 0.456922 + 0.863377i
\(304\) 86.9016 + 43.6436i 0.285860 + 0.143565i
\(305\) −470.002 + 82.8740i −1.54099 + 0.271718i
\(306\) −109.182 + 45.1009i −0.356803 + 0.147389i
\(307\) −101.913 + 577.976i −0.331963 + 1.88266i 0.123407 + 0.992356i \(0.460618\pi\)
−0.455371 + 0.890302i \(0.650493\pi\)
\(308\) −198.409 147.710i −0.644186 0.479579i
\(309\) −36.0648 + 65.6621i −0.116715 + 0.212499i
\(310\) 142.663 151.214i 0.460203 0.487787i
\(311\) −126.326 + 37.8195i −0.406192 + 0.121606i −0.483380 0.875411i \(-0.660591\pi\)
0.0771878 + 0.997017i \(0.475406\pi\)
\(312\) −41.4752 106.806i −0.132933 0.342328i
\(313\) 593.728 + 69.3969i 1.89690 + 0.221715i 0.982917 0.184048i \(-0.0589201\pi\)
0.913978 + 0.405763i \(0.132994\pi\)
\(314\) −178.004 + 212.137i −0.566893 + 0.675597i
\(315\) −920.166 14.2745i −2.92116 0.0453159i
\(316\) −28.1282 + 23.6023i −0.0890131 + 0.0746909i
\(317\) 21.3896 + 32.5213i 0.0674750 + 0.102591i 0.867649 0.497177i \(-0.165630\pi\)
−0.800174 + 0.599768i \(0.795260\pi\)
\(318\) −123.366 158.534i −0.387945 0.498535i
\(319\) −330.718 444.231i −1.03673 1.39257i
\(320\) −29.9374 59.6102i −0.0935543 0.186282i
\(321\) 3.09229 32.4448i 0.00963331 0.101074i
\(322\) 287.572 68.1558i 0.893080 0.211664i
\(323\) 225.638i 0.698570i
\(324\) 68.7481 146.689i 0.212185 0.452744i
\(325\) 601.226 1.84993
\(326\) −45.0010 189.874i −0.138040 0.582437i
\(327\) 160.617 + 351.536i 0.491182 + 1.07503i
\(328\) 135.811 68.2070i 0.414059 0.207948i
\(329\) 603.197 449.064i 1.83343 1.36494i
\(330\) 48.9687 + 353.399i 0.148390 + 1.07091i
\(331\) 31.7590 20.8882i 0.0959486 0.0631064i −0.500628 0.865663i \(-0.666898\pi\)
0.596577 + 0.802556i \(0.296527\pi\)
\(332\) 76.2960 + 90.9260i 0.229807 + 0.273874i
\(333\) 80.8043 + 99.3898i 0.242655 + 0.298468i
\(334\) 71.1344 + 59.6888i 0.212977 + 0.178709i
\(335\) 81.0547 693.467i 0.241954 2.07005i
\(336\) 114.722 + 92.1654i 0.341435 + 0.274302i
\(337\) −32.8444 109.708i −0.0974612 0.325543i 0.895329 0.445405i \(-0.146940\pi\)
−0.992791 + 0.119861i \(0.961755\pi\)
\(338\) −13.7124 12.9369i −0.0405691 0.0382750i
\(339\) 291.596 176.752i 0.860165 0.521392i
\(340\) −92.4263 + 124.150i −0.271842 + 0.365147i
\(341\) 175.100 + 30.8748i 0.513489 + 0.0905420i
\(342\) 208.829 + 228.340i 0.610611 + 0.667660i
\(343\) 111.556 + 632.663i 0.325235 + 1.84450i
\(344\) 31.5737 62.8684i 0.0917839 0.182757i
\(345\) −361.061 226.590i −1.04655 0.656784i
\(346\) 104.558 12.2210i 0.302190 0.0353209i
\(347\) 114.214 173.655i 0.329148 0.500446i −0.632563 0.774509i \(-0.717997\pi\)
0.961712 + 0.274063i \(0.0883676\pi\)
\(348\) 186.884 + 271.354i 0.537024 + 0.779752i
\(349\) 118.272 395.055i 0.338887 1.13196i −0.603479 0.797379i \(-0.706219\pi\)
0.942366 0.334584i \(-0.108596\pi\)
\(350\) −668.741 + 386.098i −1.91069 + 1.10314i
\(351\) −2.12230 364.574i −0.00604643 1.03867i
\(352\) 28.5254 49.4075i 0.0810381 0.140362i
\(353\) −179.316 + 169.176i −0.507977 + 0.479251i −0.897033 0.441963i \(-0.854282\pi\)
0.389057 + 0.921214i \(0.372801\pi\)
\(354\) −2.78642 + 10.0855i −0.00787123 + 0.0284901i
\(355\) −13.1762 + 226.227i −0.0371161 + 0.637259i
\(356\) −81.6752 35.2312i −0.229425 0.0989641i
\(357\) 71.6389 333.852i 0.200669 0.935159i
\(358\) 11.2322 + 192.850i 0.0313749 + 0.538687i
\(359\) −95.3469 + 261.964i −0.265590 + 0.729703i 0.733176 + 0.680039i \(0.238037\pi\)
−0.998766 + 0.0496641i \(0.984185\pi\)
\(360\) −21.3684 211.177i −0.0593566 0.586604i
\(361\) −216.167 + 78.6785i −0.598802 + 0.217946i
\(362\) 280.561 121.022i 0.775032 0.334316i
\(363\) 43.5221 38.1306i 0.119896 0.105043i
\(364\) 322.253 + 76.3752i 0.885309 + 0.209822i
\(365\) −74.4416 + 314.094i −0.203950 + 0.860531i
\(366\) 160.024 + 182.651i 0.437225 + 0.499046i
\(367\) 216.821 + 502.649i 0.590794 + 1.36961i 0.907083 + 0.420952i \(0.138304\pi\)
−0.316289 + 0.948663i \(0.602437\pi\)
\(368\) 23.3134 + 64.0531i 0.0633517 + 0.174057i
\(369\) 481.130 48.6840i 1.30387 0.131935i
\(370\) 157.708 + 57.4010i 0.426237 + 0.155138i
\(371\) 579.651 33.7608i 1.56240 0.0909996i
\(372\) −103.424 22.1931i −0.278023 0.0596590i
\(373\) 183.819 426.140i 0.492812 1.14247i −0.472491 0.881335i \(-0.656645\pi\)
0.965303 0.261131i \(-0.0840955\pi\)
\(374\) −132.151 7.69692i −0.353345 0.0205800i
\(375\) 470.783 + 130.068i 1.25542 + 0.346847i
\(376\) 119.025 + 126.159i 0.316555 + 0.335528i
\(377\) 642.156 + 370.749i 1.70333 + 0.983420i
\(378\) 236.484 + 404.151i 0.625620 + 1.06918i
\(379\) −303.726 526.069i −0.801388 1.38805i −0.918702 0.394951i \(-0.870762\pi\)
0.117314 0.993095i \(-0.462572\pi\)
\(380\) 388.393 + 116.277i 1.02209 + 0.305993i
\(381\) −94.6275 + 65.1710i −0.248366 + 0.171053i
\(382\) −218.516 143.720i −0.572031 0.376230i
\(383\) −0.401942 3.43883i −0.00104946 0.00897868i 0.992703 0.120581i \(-0.0384758\pi\)
−0.993753 + 0.111602i \(0.964402\pi\)
\(384\) −18.0418 + 28.7488i −0.0469839 + 0.0748667i
\(385\) −921.556 462.823i −2.39365 1.20214i
\(386\) 103.964 18.3316i 0.269336 0.0474912i
\(387\) 165.191 151.076i 0.426850 0.390377i
\(388\) 27.0648 153.492i 0.0697547 0.395599i
\(389\) −451.360 336.025i −1.16031 0.863818i −0.167780 0.985824i \(-0.553660\pi\)
−0.992529 + 0.122006i \(0.961067\pi\)
\(390\) −247.610 408.495i −0.634898 1.04742i
\(391\) 108.536 115.042i 0.277587 0.294225i
\(392\) −274.716 + 82.2447i −0.700807 + 0.209808i
\(393\) −226.105 + 281.442i −0.575330 + 0.716137i
\(394\) 86.9778 + 10.1662i 0.220756 + 0.0258027i
\(395\) −98.4003 + 117.269i −0.249115 + 0.296883i
\(396\) 140.857 114.517i 0.355699 0.289185i
\(397\) 381.819 320.384i 0.961761 0.807013i −0.0194781 0.999810i \(-0.506200\pi\)
0.981239 + 0.192797i \(0.0617560\pi\)
\(398\) 225.329 + 342.596i 0.566153 + 0.860793i
\(399\) −885.940 + 122.760i −2.22040 + 0.307670i
\(400\) −106.355 142.860i −0.265887 0.357149i
\(401\) −67.7015 134.805i −0.168832 0.336172i 0.793267 0.608875i \(-0.208379\pi\)
−0.962098 + 0.272703i \(0.912082\pi\)
\(402\) −323.123 + 147.634i −0.803788 + 0.367250i
\(403\) −231.638 + 54.8992i −0.574784 + 0.136226i
\(404\) 197.320i 0.488415i
\(405\) 176.066 652.041i 0.434732 1.60998i
\(406\) −952.357 −2.34571
\(407\) 33.1022 + 139.669i 0.0813322 + 0.343167i
\(408\) 78.3983 + 7.47209i 0.192153 + 0.0183139i
\(409\) 533.055 267.710i 1.30331 0.654548i 0.344553 0.938767i \(-0.388030\pi\)
0.958760 + 0.284219i \(0.0917341\pi\)
\(410\) 508.229 378.363i 1.23958 0.922836i
\(411\) 250.127 194.641i 0.608580 0.473578i
\(412\) 41.7268 27.4441i 0.101279 0.0666120i
\(413\) −19.4404 23.1682i −0.0470712 0.0560973i
\(414\) −3.36430 + 216.870i −0.00812633 + 0.523841i
\(415\) 379.079 + 318.085i 0.913444 + 0.766471i
\(416\) −8.86768 + 75.8679i −0.0213165 + 0.182375i
\(417\) −163.809 + 63.6107i −0.392828 + 0.152544i
\(418\) 99.4477 + 332.178i 0.237913 + 0.794685i
\(419\) −439.753 414.885i −1.04953 0.990180i −0.0495659 0.998771i \(-0.515784\pi\)
−0.999963 + 0.00859131i \(0.997265\pi\)
\(420\) 537.745 + 295.355i 1.28034 + 0.703227i
\(421\) −272.190 + 365.615i −0.646532 + 0.868443i −0.997694 0.0678713i \(-0.978379\pi\)
0.351162 + 0.936315i \(0.385787\pi\)
\(422\) −77.9425 13.7434i −0.184698 0.0325672i
\(423\) 210.708 + 510.089i 0.498128 + 1.20588i
\(424\) 23.2548 + 131.885i 0.0548463 + 0.311049i
\(425\) −185.466 + 369.293i −0.436390 + 0.868925i
\(426\) 101.912 53.9345i 0.239230 0.126607i
\(427\) −697.162 + 81.4866i −1.63270 + 0.190835i
\(428\) −11.9397 + 18.1534i −0.0278964 + 0.0424144i
\(429\) 175.524 368.915i 0.409147 0.859942i
\(430\) 84.1199 280.980i 0.195628 0.653442i
\(431\) 112.327 64.8521i 0.260620 0.150469i −0.363998 0.931400i \(-0.618588\pi\)
0.624617 + 0.780931i \(0.285255\pi\)
\(432\) −86.2524 + 64.9963i −0.199658 + 0.150454i
\(433\) −36.3215 + 62.9107i −0.0838834 + 0.145290i −0.904915 0.425593i \(-0.860066\pi\)
0.821031 + 0.570883i \(0.193399\pi\)
\(434\) 222.394 209.818i 0.512430 0.483452i
\(435\) 963.750 + 978.816i 2.21552 + 2.25015i
\(436\) 14.9816 257.225i 0.0343616 0.589965i
\(437\) −380.407 164.091i −0.870496 0.375495i
\(438\) 156.304 50.4515i 0.356858 0.115186i
\(439\) 8.65622 + 148.621i 0.0197180 + 0.338546i 0.993712 + 0.111970i \(0.0357160\pi\)
−0.973994 + 0.226576i \(0.927247\pi\)
\(440\) 81.3496 223.506i 0.184885 0.507969i
\(441\) −910.000 67.1789i −2.06349 0.152333i
\(442\) 166.546 60.6178i 0.376801 0.137144i
\(443\) 294.715 127.128i 0.665271 0.286970i −0.0365409 0.999332i \(-0.511634\pi\)
0.701812 + 0.712362i \(0.252375\pi\)
\(444\) −16.6192 83.7621i −0.0374307 0.188653i
\(445\) −360.844 85.5217i −0.810886 0.192184i
\(446\) 74.5972 314.750i 0.167258 0.705718i
\(447\) −10.6338 + 31.2764i −0.0237892 + 0.0699696i
\(448\) −38.8577 90.0822i −0.0867359 0.201076i
\(449\) 67.1353 + 184.453i 0.149522 + 0.410808i 0.991730 0.128345i \(-0.0409666\pi\)
−0.842208 + 0.539153i \(0.818744\pi\)
\(450\) −154.095 545.364i −0.342434 1.21192i
\(451\) 509.219 + 185.340i 1.12909 + 0.410955i
\(452\) −226.937 + 13.2176i −0.502074 + 0.0292425i
\(453\) −278.896 + 308.541i −0.615664 + 0.681105i
\(454\) 12.7575 29.5752i 0.0281002 0.0651435i
\(455\) 1378.38 + 80.2817i 3.02941 + 0.176443i
\(456\) −51.8444 199.667i −0.113694 0.437867i
\(457\) 79.6369 + 84.4101i 0.174260 + 0.184705i 0.808617 0.588335i \(-0.200217\pi\)
−0.634357 + 0.773040i \(0.718735\pi\)
\(458\) −267.522 154.454i −0.584109 0.337235i
\(459\) 224.588 + 111.160i 0.489299 + 0.242179i
\(460\) 142.091 + 246.109i 0.308893 + 0.535019i
\(461\) 817.610 + 244.776i 1.77356 + 0.530968i 0.995288 0.0969634i \(-0.0309130\pi\)
0.778269 + 0.627931i \(0.216098\pi\)
\(462\) 41.6768 + 523.062i 0.0902095 + 1.13217i
\(463\) −226.844 149.197i −0.489943 0.322241i 0.280386 0.959887i \(-0.409538\pi\)
−0.770329 + 0.637647i \(0.779908\pi\)
\(464\) −25.5004 218.170i −0.0549577 0.470193i
\(465\) −440.703 16.2449i −0.947748 0.0349353i
\(466\) 244.645 + 122.865i 0.524989 + 0.263660i
\(467\) −754.682 + 133.071i −1.61602 + 0.284948i −0.907282 0.420522i \(-0.861847\pi\)
−0.708740 + 0.705470i \(0.750736\pi\)
\(468\) −112.438 + 215.482i −0.240252 + 0.460433i
\(469\) 178.310 1011.24i 0.380191 2.15617i
\(470\) 580.019 + 431.808i 1.23408 + 0.918741i
\(471\) 587.314 12.5311i 1.24695 0.0266052i
\(472\) 4.78692 5.07384i 0.0101418 0.0107497i
\(473\) 240.312 71.9447i 0.508059 0.152103i
\(474\) 76.9798 + 11.8864i 0.162405 + 0.0250769i
\(475\) 1075.15 + 125.667i 2.26348 + 0.264563i
\(476\) −146.321 + 174.378i −0.307396 + 0.366340i
\(477\) −80.4968 + 418.456i −0.168756 + 0.877267i
\(478\) −187.237 + 157.110i −0.391708 + 0.328682i
\(479\) −191.111 290.571i −0.398980 0.606619i 0.578998 0.815329i \(-0.303444\pi\)
−0.977978 + 0.208710i \(0.933074\pi\)
\(480\) −53.2624 + 131.097i −0.110963 + 0.273119i
\(481\) −114.762 154.153i −0.238591 0.320484i
\(482\) 281.399 + 560.312i 0.583816 + 1.16247i
\(483\) −510.748 363.565i −1.05745 0.752723i
\(484\) −37.5355 + 8.89608i −0.0775527 + 0.0183803i
\(485\) 649.796i 1.33979i
\(486\) −330.156 + 95.3662i −0.679334 + 0.196227i
\(487\) 758.043 1.55656 0.778278 0.627919i \(-0.216093\pi\)
0.778278 + 0.627919i \(0.216093\pi\)
\(488\) −37.3345 157.527i −0.0765052 0.322801i
\(489\) −240.050 + 337.230i −0.490900 + 0.689632i
\(490\) −1068.38 + 536.559i −2.18036 + 1.09502i
\(491\) −571.349 + 425.354i −1.16364 + 0.866301i −0.992893 0.119014i \(-0.962027\pi\)
−0.170751 + 0.985314i \(0.554619\pi\)
\(492\) −298.681 121.349i −0.607076 0.246644i
\(493\) −425.819 + 280.065i −0.863730 + 0.568084i
\(494\) −298.415 355.637i −0.604079 0.719913i
\(495\) 495.418 572.154i 1.00085 1.15587i
\(496\) 54.0208 + 45.3289i 0.108913 + 0.0913888i
\(497\) −38.6917 + 331.028i −0.0778504 + 0.666053i
\(498\) 38.4237 248.842i 0.0771560 0.499683i
\(499\) 32.3641 + 108.104i 0.0648579 + 0.216640i 0.984275 0.176644i \(-0.0565240\pi\)
−0.919417 + 0.393284i \(0.871339\pi\)
\(500\) −236.843 223.450i −0.473685 0.446899i
\(501\) −4.20194 196.940i −0.00838711 0.393093i
\(502\) −373.367 + 501.519i −0.743758 + 0.999041i
\(503\) −677.295 119.425i −1.34651 0.237426i −0.546523 0.837444i \(-0.684049\pi\)
−0.799987 + 0.600018i \(0.795160\pi\)
\(504\) −13.3150 311.886i −0.0264186 0.618822i
\(505\) −142.851 810.147i −0.282873 1.60425i
\(506\) −109.081 + 217.198i −0.215575 + 0.429245i
\(507\) −1.47312 + 39.9637i −0.00290556 + 0.0788239i
\(508\) 76.0810 8.89259i 0.149766 0.0175051i
\(509\) −369.827 + 562.295i −0.726576 + 1.10471i 0.263566 + 0.964641i \(0.415101\pi\)
−0.990142 + 0.140064i \(0.955269\pi\)
\(510\) 327.294 26.0783i 0.641752 0.0511339i
\(511\) −136.158 + 454.799i −0.266454 + 0.890018i
\(512\) 19.5959 11.3137i 0.0382733 0.0220971i
\(513\) 72.4075 652.400i 0.141145 1.27173i
\(514\) −9.02846 + 15.6378i −0.0175651 + 0.0304236i
\(515\) 151.452 142.887i 0.294081 0.277451i
\(516\) −144.448 + 37.5064i −0.279938 + 0.0726869i
\(517\) −35.9594 + 617.399i −0.0695540 + 1.19420i
\(518\) 226.644 + 97.7648i 0.437537 + 0.188735i
\(519\) −165.662 149.745i −0.319194 0.288526i
\(520\) 18.5164 + 317.915i 0.0356085 + 0.611375i
\(521\) −112.263 + 308.441i −0.215477 + 0.592018i −0.999591 0.0285990i \(-0.990895\pi\)
0.784114 + 0.620617i \(0.213118\pi\)
\(522\) 171.716 677.515i 0.328957 1.29792i
\(523\) −797.197 + 290.156i −1.52428 + 0.554791i −0.962212 0.272302i \(-0.912215\pi\)
−0.562065 + 0.827093i \(0.689993\pi\)
\(524\) 220.994 95.3275i 0.421744 0.181923i
\(525\) 1550.89 + 527.292i 2.95407 + 1.00437i
\(526\) −377.845 89.5509i −0.718337 0.170249i
\(527\) 37.7347 159.215i 0.0716028 0.302116i
\(528\) −118.709 + 23.5530i −0.224828 + 0.0446080i
\(529\) 94.5066 + 219.091i 0.178651 + 0.414161i
\(530\) 190.957 + 524.651i 0.360297 + 0.989908i
\(531\) 19.9873 9.65272i 0.0376408 0.0181784i
\(532\) 560.310 + 203.936i 1.05321 + 0.383339i
\(533\) −724.312 + 42.1864i −1.35893 + 0.0791489i
\(534\) 57.9608 + 179.569i 0.108541 + 0.336271i
\(535\) −35.8791 + 83.1771i −0.0670638 + 0.155471i
\(536\) 236.434 + 13.7707i 0.441109 + 0.0256916i
\(537\) 292.004 287.509i 0.543769 0.535399i
\(538\) −69.3093 73.4636i −0.128828 0.136549i
\(539\) −885.516 511.253i −1.64289 0.948521i
\(540\) −307.077 + 329.302i −0.568661 + 0.609819i
\(541\) −200.675 347.580i −0.370934 0.642477i 0.618775 0.785568i \(-0.287629\pi\)
−0.989710 + 0.143091i \(0.954296\pi\)
\(542\) 542.757 + 162.491i 1.00140 + 0.299799i
\(543\) −585.300 278.477i −1.07790 0.512848i
\(544\) −43.8651 28.8505i −0.0806343 0.0530340i
\(545\) −124.708 1066.95i −0.228823 1.95770i
\(546\) −328.619 620.942i −0.601866 1.13726i
\(547\) −381.083 191.387i −0.696679 0.349885i 0.0649590 0.997888i \(-0.479308\pi\)
−0.761638 + 0.648003i \(0.775605\pi\)
\(548\) −208.081 + 36.6902i −0.379709 + 0.0669529i
\(549\) 67.7323 510.660i 0.123374 0.930164i
\(550\) 110.276 625.405i 0.200501 1.13710i
\(551\) 1070.85 + 797.222i 1.94347 + 1.44686i
\(552\) 69.6111 126.739i 0.126107 0.229599i
\(553\) −154.503 + 163.764i −0.279391 + 0.296138i
\(554\) −559.992 + 167.651i −1.01082 + 0.302618i
\(555\) −128.875 331.875i −0.232206 0.597974i
\(556\) 116.359 + 13.6004i 0.209278 + 0.0244611i
\(557\) 64.6344 77.0283i 0.116040 0.138291i −0.704897 0.709309i \(-0.749007\pi\)
0.820938 + 0.571018i \(0.193451\pi\)
\(558\) 109.168 + 196.045i 0.195641 + 0.351335i
\(559\) −257.283 + 215.886i −0.460256 + 0.386201i
\(560\) −224.756 341.724i −0.401349 0.610222i
\(561\) 172.454 + 221.616i 0.307405 + 0.395037i
\(562\) 172.046 + 231.098i 0.306131 + 0.411206i
\(563\) 343.088 + 683.144i 0.609392 + 1.21340i 0.960817 + 0.277184i \(0.0894010\pi\)
−0.351425 + 0.936216i \(0.614303\pi\)
\(564\) 34.9090 366.271i 0.0618954 0.649416i
\(565\) −922.181 + 218.561i −1.63218 + 0.386833i
\(566\) 280.078i 0.494837i
\(567\) 314.267 942.295i 0.554263 1.66190i
\(568\) −76.8693 −0.135333
\(569\) 94.8599 + 400.245i 0.166713 + 0.703419i 0.990615 + 0.136685i \(0.0436449\pi\)
−0.823901 + 0.566733i \(0.808207\pi\)
\(570\) −357.411 782.253i −0.627036 1.37237i
\(571\) −323.375 + 162.405i −0.566331 + 0.284422i −0.708837 0.705372i \(-0.750780\pi\)
0.142507 + 0.989794i \(0.454484\pi\)
\(572\) −218.468 + 162.643i −0.381937 + 0.284341i
\(573\) 76.1504 + 549.565i 0.132898 + 0.959101i
\(574\) 778.558 512.066i 1.35637 0.892100i
\(575\) 487.720 + 581.241i 0.848208 + 1.01085i
\(576\) 71.0916 11.4013i 0.123423 0.0197940i
\(577\) −536.833 450.456i −0.930386 0.780687i 0.0455003 0.998964i \(-0.485512\pi\)
−0.975887 + 0.218277i \(0.929956\pi\)
\(578\) 33.3055 284.947i 0.0576220 0.492987i
\(579\) −174.581 140.255i −0.301522 0.242237i
\(580\) −262.643 877.290i −0.452834 1.51257i
\(581\) 529.378 + 499.442i 0.911150 + 0.859625i
\(582\) −282.742 + 171.385i −0.485811 + 0.294476i
\(583\) −285.151 + 383.024i −0.489109 + 0.656988i
\(584\) −107.833 19.0138i −0.184645 0.0325579i
\(585\) −305.644 + 966.119i −0.522468 + 1.65149i
\(586\) −103.023 584.270i −0.175807 0.997048i
\(587\) 377.432 751.530i 0.642985 1.28029i −0.302041 0.953295i \(-0.597668\pi\)
0.945026 0.326994i \(-0.106036\pi\)
\(588\) 515.257 + 323.358i 0.876287 + 0.549929i
\(589\) −425.706 + 49.7579i −0.722760 + 0.0844786i
\(590\) 15.9807 24.2975i 0.0270859 0.0411821i
\(591\) −105.366 152.991i −0.178285 0.258867i
\(592\) −16.3277 + 54.5383i −0.0275806 + 0.0921255i
\(593\) −974.379 + 562.558i −1.64313 + 0.948664i −0.663425 + 0.748243i \(0.730898\pi\)
−0.979710 + 0.200421i \(0.935769\pi\)
\(594\) −379.625 64.6619i −0.639100 0.108858i
\(595\) −474.515 + 821.884i −0.797504 + 1.38132i
\(596\) 16.0191 15.1132i 0.0268776 0.0253577i
\(597\) 231.645 838.446i 0.388016 1.40443i
\(598\) 18.9213 324.865i 0.0316409 0.543253i
\(599\) 668.334 + 288.291i 1.11575 + 0.481287i 0.872469 0.488669i \(-0.162517\pi\)
0.243280 + 0.969956i \(0.421777\pi\)
\(600\) −79.2674 + 369.402i −0.132112 + 0.615670i
\(601\) 41.0993 + 705.648i 0.0683849 + 1.17412i 0.841644 + 0.540033i \(0.181588\pi\)
−0.773259 + 0.634090i \(0.781375\pi\)
\(602\) 147.536 405.353i 0.245077 0.673343i
\(603\) 687.258 + 309.185i 1.13973 + 0.512744i
\(604\) 260.551 94.8328i 0.431376 0.157008i
\(605\) −147.671 + 63.6992i −0.244085 + 0.105288i
\(606\) −314.837 + 275.836i −0.519533 + 0.455174i
\(607\) 385.385 + 91.3380i 0.634902 + 0.150475i 0.535449 0.844568i \(-0.320143\pi\)
0.0994532 + 0.995042i \(0.468291\pi\)
\(608\) −31.7156 + 133.819i −0.0521638 + 0.220096i
\(609\) 1331.31 + 1519.55i 2.18606 + 2.49516i
\(610\) −267.329 619.738i −0.438244 1.01596i
\(611\) −283.201 778.090i −0.463505 1.27347i
\(612\) −97.6717 135.535i −0.159594 0.221463i
\(613\) 293.202 + 106.717i 0.478307 + 0.174090i 0.569912 0.821706i \(-0.306977\pi\)
−0.0916046 + 0.995795i \(0.529200\pi\)
\(614\) −828.587 + 48.2597i −1.34949 + 0.0785988i
\(615\) −1314.16 281.997i −2.13685 0.458532i
\(616\) 138.554 321.204i 0.224925 0.521435i
\(617\) 116.194 + 6.76754i 0.188321 + 0.0109685i 0.152046 0.988373i \(-0.451414\pi\)
0.0362749 + 0.999342i \(0.488451\pi\)
\(618\) −102.119 28.2135i −0.165242 0.0456529i
\(619\) −238.098 252.369i −0.384649 0.407704i 0.505900 0.862592i \(-0.331161\pi\)
−0.890548 + 0.454888i \(0.849679\pi\)
\(620\) 254.613 + 147.001i 0.410665 + 0.237098i
\(621\) 350.734 297.797i 0.564790 0.479545i
\(622\) −93.2430 161.502i −0.149908 0.259649i
\(623\) −522.492 156.424i −0.838672 0.251082i
\(624\) 133.449 91.9076i 0.213860 0.147288i
\(625\) −204.175 134.288i −0.326680 0.214861i
\(626\) 98.1420 + 839.659i 0.156776 + 1.34131i
\(627\) 390.994 623.032i 0.623596 0.993671i
\(628\) −349.975 175.764i −0.557285 0.279879i
\(629\) 130.088 22.9380i 0.206817 0.0364673i
\(630\) −280.460 1270.89i −0.445175 2.01729i
\(631\) −9.08324 + 51.5136i −0.0143950 + 0.0816380i −0.991159 0.132680i \(-0.957642\pi\)
0.976764 + 0.214318i \(0.0687529\pi\)
\(632\) −41.6527 31.0093i −0.0659062 0.0490653i
\(633\) 87.0282 + 143.575i 0.137485 + 0.226816i
\(634\) −37.7763 + 40.0406i −0.0595841 + 0.0631555i
\(635\) 305.932 91.5901i 0.481783 0.144236i
\(636\) 177.923 221.468i 0.279753 0.348220i
\(637\) 1359.76 + 158.933i 2.13463 + 0.249502i
\(638\) 503.443 599.980i 0.789095 0.940407i
\(639\) −228.520 87.2120i −0.357622 0.136482i
\(640\) 72.2655 60.6379i 0.112915 0.0947468i
\(641\) 118.638 + 180.381i 0.185083 + 0.281405i 0.916097 0.400958i \(-0.131323\pi\)
−0.731013 + 0.682363i \(0.760952\pi\)
\(642\) 45.6556 6.32626i 0.0711146 0.00985399i
\(643\) −192.061 257.982i −0.298695 0.401217i 0.627285 0.778790i \(-0.284166\pi\)
−0.925980 + 0.377573i \(0.876759\pi\)
\(644\) 187.577 + 373.497i 0.291269 + 0.579965i
\(645\) −565.916 + 258.566i −0.877389 + 0.400878i
\(646\) 310.499 73.5896i 0.480649 0.113916i
\(647\) 564.446i 0.872405i 0.899848 + 0.436203i \(0.143677\pi\)
−0.899848 + 0.436203i \(0.856323\pi\)
\(648\) 224.279 + 46.7626i 0.346110 + 0.0721644i
\(649\) 24.8726 0.0383245
\(650\) 196.084 + 827.343i 0.301667 + 1.27283i
\(651\) −645.668 61.5382i −0.991809 0.0945287i
\(652\) 246.608 123.851i 0.378233 0.189956i
\(653\) −947.246 + 705.198i −1.45061 + 1.07994i −0.470288 + 0.882513i \(0.655850\pi\)
−0.980318 + 0.197423i \(0.936743\pi\)
\(654\) −431.363 + 335.673i −0.659577 + 0.513262i
\(655\) 838.335 551.381i 1.27990 0.841804i
\(656\) 138.153 + 164.644i 0.210599 + 0.250982i
\(657\) −298.998 178.867i −0.455096 0.272248i
\(658\) 814.681 + 683.598i 1.23812 + 1.03890i
\(659\) −71.4838 + 611.583i −0.108473 + 0.928048i 0.823946 + 0.566669i \(0.191768\pi\)
−0.932419 + 0.361379i \(0.882306\pi\)
\(660\) −470.339 + 182.643i −0.712635 + 0.276732i
\(661\) 158.326 + 528.845i 0.239525 + 0.800068i 0.990232 + 0.139433i \(0.0445279\pi\)
−0.750707 + 0.660636i \(0.770287\pi\)
\(662\) 39.1020 + 36.8908i 0.0590665 + 0.0557263i
\(663\) −329.536 180.997i −0.497038 0.272997i
\(664\) −100.240 + 134.645i −0.150963 + 0.202779i
\(665\) 2448.14 + 431.673i 3.68141 + 0.649132i
\(666\) −110.416 + 143.609i −0.165790 + 0.215629i
\(667\) 162.497 + 921.567i 0.243624 + 1.38166i
\(668\) −58.9376 + 117.354i −0.0882300 + 0.175680i
\(669\) −606.486 + 320.968i −0.906556 + 0.479773i
\(670\) 980.711 114.629i 1.46375 0.171088i
\(671\) 317.203 482.284i 0.472732 0.718755i
\(672\) −89.4128 + 187.927i −0.133055 + 0.279653i
\(673\) −86.1803 + 287.862i −0.128054 + 0.427730i −0.997839 0.0657002i \(-0.979072\pi\)
0.869786 + 0.493430i \(0.164257\pi\)
\(674\) 140.257 80.9772i 0.208096 0.120144i
\(675\) −654.754 + 1008.24i −0.970006 + 1.49369i
\(676\) 13.3303 23.0887i 0.0197194 0.0341549i
\(677\) 659.466 622.174i 0.974101 0.919017i −0.0226355 0.999744i \(-0.507206\pi\)
0.996736 + 0.0807272i \(0.0257242\pi\)
\(678\) 338.328 + 343.617i 0.499009 + 0.506810i
\(679\) 55.5674 954.056i 0.0818372 1.40509i
\(680\) −200.986 86.6969i −0.295568 0.127495i
\(681\) −65.0231 + 20.9880i −0.0954818 + 0.0308194i
\(682\) 14.6204 + 251.023i 0.0214376 + 0.368069i
\(683\) −116.730 + 320.713i −0.170907 + 0.469564i −0.995344 0.0963906i \(-0.969270\pi\)
0.824436 + 0.565955i \(0.191492\pi\)
\(684\) −246.109 + 361.839i −0.359809 + 0.529004i
\(685\) −827.766 + 301.282i −1.20842 + 0.439828i
\(686\) −834.221 + 359.848i −1.21607 + 0.524559i
\(687\) 127.530 + 642.762i 0.185633 + 0.935607i
\(688\) 96.8102 + 22.9444i 0.140712 + 0.0333495i
\(689\) 147.440 622.100i 0.213992 0.902903i
\(690\) 194.053 570.754i 0.281236 0.827180i
\(691\) −347.687 806.030i −0.503166 1.16647i −0.960778 0.277317i \(-0.910555\pi\)
0.457613 0.889152i \(-0.348705\pi\)
\(692\) 50.9177 + 139.895i 0.0735805 + 0.202161i
\(693\) 776.321 797.693i 1.12023 1.15107i
\(694\) 276.215 + 100.534i 0.398004 + 0.144862i
\(695\) 487.587 28.3987i 0.701564 0.0408614i
\(696\) −312.457 + 345.670i −0.448933 + 0.496652i
\(697\) 197.523 457.910i 0.283391 0.656973i
\(698\) 582.206 + 33.9096i 0.834106 + 0.0485811i
\(699\) −145.952 562.103i −0.208801 0.804153i
\(700\) −749.410 794.328i −1.07059 1.13475i
\(701\) −199.310 115.072i −0.284323 0.164154i 0.351056 0.936354i \(-0.385823\pi\)
−0.635379 + 0.772201i \(0.719156\pi\)
\(702\) 500.996 121.823i 0.713669 0.173537i
\(703\) −173.005 299.654i −0.246096 0.426250i
\(704\) 77.2925 + 23.1399i 0.109791 + 0.0328691i
\(705\) −121.836 1529.09i −0.172817 2.16892i
\(706\) −291.284 191.580i −0.412583 0.271360i
\(707\) −140.459 1201.71i −0.198669 1.69972i
\(708\) −14.7874 0.545082i −0.0208861 0.000769890i
\(709\) 711.031 + 357.093i 1.00286 + 0.503658i 0.872920 0.487864i \(-0.162224\pi\)
0.129945 + 0.991521i \(0.458520\pi\)
\(710\) −315.607 + 55.6500i −0.444516 + 0.0783802i
\(711\) −88.6454 139.443i −0.124677 0.196122i
\(712\) 21.8439 123.883i 0.0306797 0.173993i
\(713\) −240.981 179.404i −0.337982 0.251618i
\(714\) 482.776 10.3006i 0.676156 0.0144266i
\(715\) −779.229 + 825.935i −1.08983 + 1.15515i
\(716\) −261.716 + 78.3527i −0.365525 + 0.109431i
\(717\) 512.420 + 79.1228i 0.714673 + 0.110353i
\(718\) −391.583 45.7695i −0.545380 0.0637458i
\(719\) −476.344 + 567.685i −0.662510 + 0.789548i −0.987744 0.156085i \(-0.950113\pi\)
0.325234 + 0.945634i \(0.394557\pi\)
\(720\) 283.631 98.2783i 0.393931 0.136498i
\(721\) 234.586 196.841i 0.325362 0.273011i
\(722\) −178.770 271.806i −0.247604 0.376463i
\(723\) 500.645 1232.26i 0.692455 1.70437i
\(724\) 258.040 + 346.608i 0.356409 + 0.478741i
\(725\) −1097.34 2184.98i −1.51357 3.01377i
\(726\) 66.6656 + 47.4546i 0.0918259 + 0.0653644i
\(727\) 599.400 142.060i 0.824484 0.195406i 0.203345 0.979107i \(-0.434819\pi\)
0.621138 + 0.783701i \(0.286670\pi\)
\(728\) 468.359i 0.643350i
\(729\) 613.693 + 393.474i 0.841829 + 0.539745i
\(730\) −456.501 −0.625344
\(731\) −53.2379 224.628i −0.0728289 0.307289i
\(732\) −199.154 + 279.778i −0.272069 + 0.382211i
\(733\) 246.667 123.881i 0.336518 0.169006i −0.272513 0.962152i \(-0.587855\pi\)
0.609031 + 0.793147i \(0.291559\pi\)
\(734\) −620.977 + 462.300i −0.846018 + 0.629837i
\(735\) 2349.62 + 954.608i 3.19676 + 1.29879i
\(736\) −80.5396 + 52.9717i −0.109429 + 0.0719725i
\(737\) 542.819 + 646.906i 0.736525 + 0.877756i
\(738\) 223.909 + 646.202i 0.303400 + 0.875612i
\(739\) −489.880 411.058i −0.662895 0.556235i 0.248058 0.968745i \(-0.420208\pi\)
−0.910953 + 0.412510i \(0.864652\pi\)
\(740\) −27.5542 + 235.741i −0.0372354 + 0.318570i
\(741\) −150.286 + 973.291i −0.202815 + 1.31348i
\(742\) 235.506 + 786.643i 0.317393 + 1.06017i
\(743\) 690.305 + 651.269i 0.929078 + 0.876540i 0.992599 0.121440i \(-0.0387513\pi\)
−0.0635204 + 0.997981i \(0.520233\pi\)
\(744\) −3.19104 149.560i −0.00428903 0.201021i
\(745\) 54.8291 73.6482i 0.0735960 0.0988566i
\(746\) 646.359 + 113.971i 0.866433 + 0.152776i
\(747\) −450.758 + 286.552i −0.603424 + 0.383603i
\(748\) −32.5081 184.362i −0.0434600 0.246474i
\(749\) −59.7920 + 119.056i −0.0798292 + 0.158953i
\(750\) −25.4440 + 690.262i −0.0339253 + 0.920349i
\(751\) 656.805 76.7695i 0.874574 0.102223i 0.333051 0.942909i \(-0.391922\pi\)
0.541523 + 0.840686i \(0.317848\pi\)
\(752\) −134.787 + 204.934i −0.179239 + 0.272519i
\(753\) 1322.14 105.346i 1.75583 0.139902i
\(754\) −300.752 + 1004.58i −0.398876 + 1.33234i
\(755\) 1001.10 577.988i 1.32597 0.765547i
\(756\) −479.023 + 457.234i −0.633628 + 0.604807i
\(757\) −651.338 + 1128.15i −0.860420 + 1.49029i 0.0111041 + 0.999938i \(0.496465\pi\)
−0.871524 + 0.490353i \(0.836868\pi\)
\(758\) 624.863 589.528i 0.824358 0.777741i
\(759\) 499.040 129.577i 0.657496 0.170721i
\(760\) −33.3378 + 572.387i −0.0438655 + 0.753141i
\(761\) 255.545 + 110.231i 0.335802 + 0.144851i 0.557303 0.830309i \(-0.311836\pi\)
−0.221501 + 0.975160i \(0.571096\pi\)
\(762\) −120.543 108.961i −0.158193 0.142994i
\(763\) −91.8615 1577.20i −0.120395 2.06710i
\(764\) 126.505 347.571i 0.165583 0.454936i
\(765\) −499.138 485.765i −0.652468 0.634987i
\(766\) 4.60107 1.67465i 0.00600661 0.00218623i
\(767\) −30.5779 + 13.1900i −0.0398669 + 0.0171969i
\(768\) −45.4452 15.4511i −0.0591734 0.0201186i
\(769\) −239.862 56.8484i −0.311914 0.0739251i 0.0716773 0.997428i \(-0.477165\pi\)
−0.383592 + 0.923503i \(0.625313\pi\)
\(770\) 336.331 1419.09i 0.436794 1.84298i
\(771\) 37.5721 7.45467i 0.0487317 0.00966883i