Properties

Label 168.2.ba.c.101.18
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.18
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.998351 + 1.00165i) q^{2} +(1.26610 - 1.18195i) q^{3} +(-0.00659077 + 1.99999i) q^{4} +(-1.54900 + 0.894317i) q^{5} +(2.44790 + 0.0881824i) q^{6} +(2.63573 - 0.230049i) q^{7} +(-2.00986 + 1.99009i) q^{8} +(0.206000 - 2.99292i) q^{9} +O(q^{10})\) \(q+(0.998351 + 1.00165i) q^{2} +(1.26610 - 1.18195i) q^{3} +(-0.00659077 + 1.99999i) q^{4} +(-1.54900 + 0.894317i) q^{5} +(2.44790 + 0.0881824i) q^{6} +(2.63573 - 0.230049i) q^{7} +(-2.00986 + 1.99009i) q^{8} +(0.206000 - 2.99292i) q^{9} +(-2.44224 - 0.658710i) q^{10} +(-0.501346 + 0.868358i) q^{11} +(2.35554 + 2.53997i) q^{12} -2.47302 q^{13} +(2.86181 + 2.41040i) q^{14} +(-0.904151 + 2.96313i) q^{15} +(-3.99991 - 0.0263630i) q^{16} +(3.32963 - 5.76708i) q^{17} +(3.20351 - 2.78164i) q^{18} +(-1.85941 - 3.22059i) q^{19} +(-1.77842 - 3.10388i) q^{20} +(3.06518 - 3.40656i) q^{21} +(-1.37031 + 0.364754i) q^{22} +(-6.85244 + 3.95626i) q^{23} +(-0.192497 + 4.89520i) q^{24} +(-0.900394 + 1.55953i) q^{25} +(-2.46894 - 2.47709i) q^{26} +(-3.27666 - 4.03281i) q^{27} +(0.442725 + 5.27295i) q^{28} -0.748403 q^{29} +(-3.87067 + 2.05261i) q^{30} +(2.87254 + 1.65846i) q^{31} +(-3.96691 - 4.03282i) q^{32} +(0.391600 + 1.69199i) q^{33} +(9.10071 - 2.42246i) q^{34} +(-3.87702 + 2.71353i) q^{35} +(5.98445 + 0.431724i) q^{36} +(3.22429 - 1.86155i) q^{37} +(1.36955 - 5.07775i) q^{38} +(-3.13108 + 2.92298i) q^{39} +(1.33351 - 4.88011i) q^{40} -2.01044 q^{41} +(6.47230 - 0.330713i) q^{42} +9.19651i q^{43} +(-1.73340 - 1.00841i) q^{44} +(2.35752 + 4.82027i) q^{45} +(-10.8039 - 2.91399i) q^{46} +(-1.19840 - 2.07569i) q^{47} +(-5.09544 + 4.69431i) q^{48} +(6.89415 - 1.21270i) q^{49} +(-2.46101 + 0.655080i) q^{50} +(-2.60076 - 11.2371i) q^{51} +(0.0162991 - 4.94601i) q^{52} +(6.33884 - 10.9792i) q^{53} +(0.768191 - 7.30821i) q^{54} -1.79345i q^{55} +(-4.83964 + 5.70771i) q^{56} +(-6.16075 - 1.87985i) q^{57} +(-0.747169 - 0.749635i) q^{58} +(7.34922 + 4.24308i) q^{59} +(-5.92027 - 1.82782i) q^{60} +(2.02442 + 3.50640i) q^{61} +(1.20661 + 4.53300i) q^{62} +(-0.145558 - 7.93592i) q^{63} +(0.0790881 - 7.99961i) q^{64} +(3.83071 - 2.21166i) q^{65} +(-1.30382 + 2.08144i) q^{66} +(6.89843 + 3.98281i) q^{67} +(11.5122 + 6.69723i) q^{68} +(-3.99976 + 13.1082i) q^{69} +(-6.58862 - 1.17435i) q^{70} +5.46843i q^{71} +(5.54214 + 6.42531i) q^{72} +(-5.68546 - 3.28250i) q^{73} +(5.08359 + 1.37113i) q^{74} +(0.703295 + 3.03873i) q^{75} +(6.45340 - 3.69757i) q^{76} +(-1.12165 + 2.40409i) q^{77} +(-6.05370 - 0.218077i) q^{78} +(2.53988 + 4.39920i) q^{79} +(6.21945 - 3.53635i) q^{80} +(-8.91513 - 1.23308i) q^{81} +(-2.00712 - 2.01375i) q^{82} +5.65457i q^{83} +(6.79288 + 6.15278i) q^{84} +11.9110i q^{85} +(-9.21165 + 9.18134i) q^{86} +(-0.947550 + 0.884573i) q^{87} +(-0.720472 - 2.74300i) q^{88} +(7.39495 + 12.8084i) q^{89} +(-2.47457 + 7.17372i) q^{90} +(-6.51821 + 0.568916i) q^{91} +(-7.86731 - 13.7309i) q^{92} +(5.59713 - 1.29542i) q^{93} +(0.882685 - 3.27265i) q^{94} +(5.76045 + 3.32580i) q^{95} +(-9.78907 - 0.417256i) q^{96} -1.75577i q^{97} +(8.09748 + 5.69481i) q^{98} +(2.49565 + 1.67937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.998351 + 1.00165i 0.705941 + 0.708271i
\(3\) 1.26610 1.18195i 0.730981 0.682398i
\(4\) −0.00659077 + 1.99999i −0.00329539 + 0.999995i
\(5\) −1.54900 + 0.894317i −0.692735 + 0.399951i −0.804636 0.593769i \(-0.797639\pi\)
0.111901 + 0.993719i \(0.464306\pi\)
\(6\) 2.44790 + 0.0881824i 0.999352 + 0.0360003i
\(7\) 2.63573 0.230049i 0.996213 0.0869505i
\(8\) −2.00986 + 1.99009i −0.710593 + 0.703603i
\(9\) 0.206000 2.99292i 0.0686667 0.997640i
\(10\) −2.44224 0.658710i −0.772303 0.208303i
\(11\) −0.501346 + 0.868358i −0.151162 + 0.261820i −0.931655 0.363345i \(-0.881635\pi\)
0.780493 + 0.625164i \(0.214968\pi\)
\(12\) 2.35554 + 2.53997i 0.679985 + 0.733226i
\(13\) −2.47302 −0.685891 −0.342946 0.939355i \(-0.611425\pi\)
−0.342946 + 0.939355i \(0.611425\pi\)
\(14\) 2.86181 + 2.41040i 0.764852 + 0.644207i
\(15\) −0.904151 + 2.96313i −0.233451 + 0.765077i
\(16\) −3.99991 0.0263630i −0.999978 0.00659074i
\(17\) 3.32963 5.76708i 0.807553 1.39872i −0.107001 0.994259i \(-0.534125\pi\)
0.914554 0.404464i \(-0.132542\pi\)
\(18\) 3.20351 2.78164i 0.755074 0.655640i
\(19\) −1.85941 3.22059i −0.426577 0.738854i 0.569989 0.821652i \(-0.306947\pi\)
−0.996566 + 0.0827988i \(0.973614\pi\)
\(20\) −1.77842 3.10388i −0.397666 0.694049i
\(21\) 3.06518 3.40656i 0.668878 0.743372i
\(22\) −1.37031 + 0.364754i −0.292150 + 0.0777658i
\(23\) −6.85244 + 3.95626i −1.42883 + 0.824936i −0.997029 0.0770314i \(-0.975456\pi\)
−0.431803 + 0.901968i \(0.642123\pi\)
\(24\) −0.192497 + 4.89520i −0.0392934 + 0.999228i
\(25\) −0.900394 + 1.55953i −0.180079 + 0.311906i
\(26\) −2.46894 2.47709i −0.484199 0.485797i
\(27\) −3.27666 4.03281i −0.630593 0.776114i
\(28\) 0.442725 + 5.27295i 0.0836671 + 0.996494i
\(29\) −0.748403 −0.138975 −0.0694875 0.997583i \(-0.522136\pi\)
−0.0694875 + 0.997583i \(0.522136\pi\)
\(30\) −3.87067 + 2.05261i −0.706684 + 0.374753i
\(31\) 2.87254 + 1.65846i 0.515924 + 0.297869i 0.735265 0.677779i \(-0.237058\pi\)
−0.219341 + 0.975648i \(0.570391\pi\)
\(32\) −3.96691 4.03282i −0.701257 0.712908i
\(33\) 0.391600 + 1.69199i 0.0681688 + 0.294538i
\(34\) 9.10071 2.42246i 1.56076 0.415449i
\(35\) −3.87702 + 2.71353i −0.655335 + 0.458670i
\(36\) 5.98445 + 0.431724i 0.997408 + 0.0719540i
\(37\) 3.22429 1.86155i 0.530071 0.306036i −0.210975 0.977492i \(-0.567664\pi\)
0.741045 + 0.671455i \(0.234330\pi\)
\(38\) 1.36955 5.07775i 0.222170 0.823719i
\(39\) −3.13108 + 2.92298i −0.501374 + 0.468051i
\(40\) 1.33351 4.88011i 0.210846 0.771613i
\(41\) −2.01044 −0.313978 −0.156989 0.987600i \(-0.550179\pi\)
−0.156989 + 0.987600i \(0.550179\pi\)
\(42\) 6.47230 0.330713i 0.998697 0.0510302i
\(43\) 9.19651i 1.40245i 0.712938 + 0.701227i \(0.247364\pi\)
−0.712938 + 0.701227i \(0.752636\pi\)
\(44\) −1.73340 1.00841i −0.261320 0.152024i
\(45\) 2.35752 + 4.82027i 0.351439 + 0.718563i
\(46\) −10.8039 2.91399i −1.59295 0.429644i
\(47\) −1.19840 2.07569i −0.174805 0.302771i 0.765289 0.643687i \(-0.222596\pi\)
−0.940094 + 0.340916i \(0.889263\pi\)
\(48\) −5.09544 + 4.69431i −0.735463 + 0.677565i
\(49\) 6.89415 1.21270i 0.984879 0.173242i
\(50\) −2.46101 + 0.655080i −0.348039 + 0.0926423i
\(51\) −2.60076 11.2371i −0.364179 1.57351i
\(52\) 0.0162991 4.94601i 0.00226028 0.685888i
\(53\) 6.33884 10.9792i 0.870707 1.50811i 0.00943963 0.999955i \(-0.496995\pi\)
0.861267 0.508153i \(-0.169671\pi\)
\(54\) 0.768191 7.30821i 0.104538 0.994521i
\(55\) 1.79345i 0.241829i
\(56\) −4.83964 + 5.70771i −0.646724 + 0.762725i
\(57\) −6.16075 1.87985i −0.816012 0.248993i
\(58\) −0.747169 0.749635i −0.0981081 0.0984319i
\(59\) 7.34922 + 4.24308i 0.956787 + 0.552401i 0.895183 0.445699i \(-0.147045\pi\)
0.0616046 + 0.998101i \(0.480378\pi\)
\(60\) −5.92027 1.82782i −0.764304 0.235971i
\(61\) 2.02442 + 3.50640i 0.259200 + 0.448948i 0.966028 0.258438i \(-0.0832077\pi\)
−0.706828 + 0.707386i \(0.749874\pi\)
\(62\) 1.20661 + 4.53300i 0.153240 + 0.575692i
\(63\) −0.145558 7.93592i −0.0183386 0.999832i
\(64\) 0.0790881 7.99961i 0.00988602 0.999951i
\(65\) 3.83071 2.21166i 0.475141 0.274323i
\(66\) −1.30382 + 2.08144i −0.160489 + 0.256208i
\(67\) 6.89843 + 3.98281i 0.842777 + 0.486577i 0.858207 0.513303i \(-0.171578\pi\)
−0.0154303 + 0.999881i \(0.504912\pi\)
\(68\) 11.5122 + 6.69723i 1.39605 + 0.812158i
\(69\) −3.99976 + 13.1082i −0.481514 + 1.57804i
\(70\) −6.58862 1.17435i −0.787490 0.140361i
\(71\) 5.46843i 0.648984i 0.945889 + 0.324492i \(0.105193\pi\)
−0.945889 + 0.324492i \(0.894807\pi\)
\(72\) 5.54214 + 6.42531i 0.653148 + 0.757230i
\(73\) −5.68546 3.28250i −0.665433 0.384188i 0.128911 0.991656i \(-0.458852\pi\)
−0.794344 + 0.607468i \(0.792185\pi\)
\(74\) 5.08359 + 1.37113i 0.590955 + 0.159390i
\(75\) 0.703295 + 3.03873i 0.0812095 + 0.350883i
\(76\) 6.45340 3.69757i 0.740255 0.424140i
\(77\) −1.12165 + 2.40409i −0.127824 + 0.273972i
\(78\) −6.05370 0.218077i −0.685447 0.0246923i
\(79\) 2.53988 + 4.39920i 0.285759 + 0.494949i 0.972793 0.231676i \(-0.0744210\pi\)
−0.687034 + 0.726625i \(0.741088\pi\)
\(80\) 6.21945 3.53635i 0.695356 0.395376i
\(81\) −8.91513 1.23308i −0.990570 0.137009i
\(82\) −2.00712 2.01375i −0.221650 0.222381i
\(83\) 5.65457i 0.620669i 0.950627 + 0.310335i \(0.100441\pi\)
−0.950627 + 0.310335i \(0.899559\pi\)
\(84\) 6.79288 + 6.15278i 0.741164 + 0.671324i
\(85\) 11.9110i 1.29193i
\(86\) −9.21165 + 9.18134i −0.993317 + 0.990049i
\(87\) −0.947550 + 0.884573i −0.101588 + 0.0948362i
\(88\) −0.720472 2.74300i −0.0768026 0.292405i
\(89\) 7.39495 + 12.8084i 0.783863 + 1.35769i 0.929676 + 0.368379i \(0.120087\pi\)
−0.145812 + 0.989312i \(0.546580\pi\)
\(90\) −2.47457 + 7.17372i −0.260842 + 0.756177i
\(91\) −6.51821 + 0.568916i −0.683294 + 0.0596386i
\(92\) −7.86731 13.7309i −0.820223 1.43154i
\(93\) 5.59713 1.29542i 0.580396 0.134329i
\(94\) 0.882685 3.27265i 0.0910420 0.337548i
\(95\) 5.76045 + 3.32580i 0.591010 + 0.341220i
\(96\) −9.78907 0.417256i −0.999093 0.0425860i
\(97\) 1.75577i 0.178271i −0.996019 0.0891356i \(-0.971590\pi\)
0.996019 0.0891356i \(-0.0284105\pi\)
\(98\) 8.09748 + 5.69481i 0.817969 + 0.575262i
\(99\) 2.49565 + 1.67937i 0.250822 + 0.168783i
\(100\) −3.11311 1.81106i −0.311311 0.181106i
\(101\) −12.6803 7.32100i −1.26174 0.728467i −0.288330 0.957531i \(-0.593100\pi\)
−0.973411 + 0.229064i \(0.926433\pi\)
\(102\) 8.65916 13.8236i 0.857384 1.36874i
\(103\) −8.54056 + 4.93089i −0.841526 + 0.485855i −0.857783 0.514013i \(-0.828158\pi\)
0.0162566 + 0.999868i \(0.494825\pi\)
\(104\) 4.97042 4.92152i 0.487390 0.482595i
\(105\) −1.70143 + 8.01802i −0.166043 + 0.782478i
\(106\) 17.3257 4.61181i 1.68282 0.447939i
\(107\) 3.48110 + 6.02945i 0.336531 + 0.582889i 0.983778 0.179392i \(-0.0574130\pi\)
−0.647247 + 0.762281i \(0.724080\pi\)
\(108\) 8.08716 6.52670i 0.778188 0.628032i
\(109\) −2.36373 1.36470i −0.226404 0.130715i 0.382508 0.923952i \(-0.375061\pi\)
−0.608912 + 0.793238i \(0.708394\pi\)
\(110\) 1.79640 1.79049i 0.171280 0.170717i
\(111\) 1.88202 6.16785i 0.178633 0.585426i
\(112\) −10.5488 + 0.850692i −0.996764 + 0.0803828i
\(113\) 0.531154i 0.0499667i −0.999688 0.0249834i \(-0.992047\pi\)
0.999688 0.0249834i \(-0.00795328\pi\)
\(114\) −4.26765 8.04765i −0.399702 0.753731i
\(115\) 7.07629 12.2565i 0.659868 1.14292i
\(116\) 0.00493255 1.49680i 0.000457976 0.138974i
\(117\) −0.509442 + 7.40154i −0.0470979 + 0.684272i
\(118\) 3.08704 + 11.5974i 0.284185 + 1.06763i
\(119\) 7.44929 15.9665i 0.682875 1.46364i
\(120\) −4.07968 7.75482i −0.372422 0.707915i
\(121\) 4.99730 + 8.65558i 0.454300 + 0.786871i
\(122\) −1.49109 + 5.52837i −0.134997 + 0.500515i
\(123\) −2.54541 + 2.37623i −0.229512 + 0.214258i
\(124\) −3.33584 + 5.73412i −0.299567 + 0.514940i
\(125\) 12.1641i 1.08799i
\(126\) 7.80367 8.06863i 0.695206 0.718811i
\(127\) −4.52393 −0.401434 −0.200717 0.979649i \(-0.564327\pi\)
−0.200717 + 0.979649i \(0.564327\pi\)
\(128\) 8.09174 7.90720i 0.715215 0.698904i
\(129\) 10.8698 + 11.6437i 0.957031 + 1.02517i
\(130\) 6.03969 + 1.62900i 0.529716 + 0.142873i
\(131\) 13.3927 7.73228i 1.17013 0.675573i 0.216416 0.976301i \(-0.430563\pi\)
0.953710 + 0.300729i \(0.0972298\pi\)
\(132\) −3.38654 + 0.772044i −0.294761 + 0.0671978i
\(133\) −5.64179 8.06085i −0.489205 0.698964i
\(134\) 2.89768 + 10.8860i 0.250322 + 0.940409i
\(135\) 8.68216 + 3.31646i 0.747241 + 0.285435i
\(136\) 4.78492 + 18.2173i 0.410304 + 1.56212i
\(137\) −9.71195 5.60719i −0.829748 0.479055i 0.0240187 0.999712i \(-0.492354\pi\)
−0.853766 + 0.520657i \(0.825687\pi\)
\(138\) −17.1230 + 9.08026i −1.45760 + 0.772963i
\(139\) −17.9824 −1.52525 −0.762625 0.646840i \(-0.776090\pi\)
−0.762625 + 0.646840i \(0.776090\pi\)
\(140\) −5.40147 7.77188i −0.456508 0.656843i
\(141\) −3.97066 1.21158i −0.334390 0.102033i
\(142\) −5.47744 + 5.45942i −0.459656 + 0.458144i
\(143\) 1.23984 2.14746i 0.103680 0.179580i
\(144\) −0.902885 + 11.9660i −0.0752404 + 0.997165i
\(145\) 1.15928 0.669310i 0.0962728 0.0555831i
\(146\) −2.38818 8.97191i −0.197647 0.742520i
\(147\) 7.29532 9.68392i 0.601708 0.798716i
\(148\) 3.70182 + 6.46082i 0.304288 + 0.531076i
\(149\) 0.462495 + 0.801066i 0.0378891 + 0.0656258i 0.884348 0.466828i \(-0.154603\pi\)
−0.846459 + 0.532454i \(0.821270\pi\)
\(150\) −2.34160 + 3.73817i −0.191191 + 0.305221i
\(151\) 9.56720 16.5709i 0.778568 1.34852i −0.154200 0.988040i \(-0.549280\pi\)
0.932767 0.360479i \(-0.117387\pi\)
\(152\) 10.1464 + 2.77255i 0.822982 + 0.224883i
\(153\) −16.5745 11.1533i −1.33997 0.901693i
\(154\) −3.52785 + 1.27663i −0.284282 + 0.102874i
\(155\) −5.93277 −0.476531
\(156\) −5.82528 6.28138i −0.466396 0.502913i
\(157\) 5.46873 9.47212i 0.436452 0.755957i −0.560961 0.827842i \(-0.689568\pi\)
0.997413 + 0.0718851i \(0.0229015\pi\)
\(158\) −1.87075 + 6.93601i −0.148829 + 0.551800i
\(159\) −4.95125 21.3929i −0.392659 1.69657i
\(160\) 9.75137 + 2.69917i 0.770914 + 0.213388i
\(161\) −17.1510 + 12.0040i −1.35169 + 0.946050i
\(162\) −7.66531 10.1609i −0.602244 0.798312i
\(163\) 9.21188 5.31848i 0.721530 0.416576i −0.0937855 0.995592i \(-0.529897\pi\)
0.815316 + 0.579017i \(0.196563\pi\)
\(164\) 0.0132504 4.02086i 0.00103468 0.313976i
\(165\) −2.11976 2.27068i −0.165023 0.176772i
\(166\) −5.66388 + 5.64524i −0.439602 + 0.438156i
\(167\) 7.93040 0.613673 0.306836 0.951762i \(-0.400730\pi\)
0.306836 + 0.951762i \(0.400730\pi\)
\(168\) 0.618766 + 12.9467i 0.0477388 + 0.998860i
\(169\) −6.88419 −0.529553
\(170\) −11.9306 + 11.8913i −0.915034 + 0.912023i
\(171\) −10.0220 + 4.90161i −0.766401 + 0.374836i
\(172\) −18.3929 0.0606121i −1.40245 0.00462163i
\(173\) −3.69882 + 2.13552i −0.281216 + 0.162360i −0.633974 0.773354i \(-0.718577\pi\)
0.352758 + 0.935715i \(0.385244\pi\)
\(174\) −1.83202 0.0659960i −0.138885 0.00500314i
\(175\) −2.01443 + 4.31763i −0.152276 + 0.326382i
\(176\) 2.02823 3.46014i 0.152884 0.260818i
\(177\) 14.3199 3.31425i 1.07635 0.249115i
\(178\) −5.44676 + 20.1944i −0.408252 + 1.51364i
\(179\) −3.77825 + 6.54412i −0.282399 + 0.489130i −0.971975 0.235083i \(-0.924464\pi\)
0.689576 + 0.724214i \(0.257797\pi\)
\(180\) −9.65602 + 4.68325i −0.719717 + 0.349069i
\(181\) −5.00239 −0.371824 −0.185912 0.982566i \(-0.559524\pi\)
−0.185912 + 0.982566i \(0.559524\pi\)
\(182\) −7.07731 5.96096i −0.524605 0.441856i
\(183\) 6.70749 + 2.04668i 0.495832 + 0.151295i
\(184\) 5.89915 21.5885i 0.434891 1.59152i
\(185\) −3.32963 + 5.76708i −0.244799 + 0.424004i
\(186\) 6.88546 + 4.31306i 0.504866 + 0.316249i
\(187\) 3.33859 + 5.78261i 0.244142 + 0.422867i
\(188\) 4.15927 2.38311i 0.303346 0.173806i
\(189\) −9.56413 9.87560i −0.695688 0.718344i
\(190\) 2.41968 + 9.09025i 0.175542 + 0.659476i
\(191\) −10.4891 + 6.05587i −0.758963 + 0.438188i −0.828923 0.559362i \(-0.811046\pi\)
0.0699601 + 0.997550i \(0.477713\pi\)
\(192\) −9.35498 10.2218i −0.675138 0.737692i
\(193\) 0.592437 1.02613i 0.0426445 0.0738625i −0.843915 0.536476i \(-0.819755\pi\)
0.886560 + 0.462614i \(0.153088\pi\)
\(194\) 1.75866 1.75287i 0.126264 0.125849i
\(195\) 2.23598 7.32787i 0.160122 0.524760i
\(196\) 2.37994 + 13.7962i 0.169996 + 0.985445i
\(197\) 19.5111 1.39011 0.695054 0.718957i \(-0.255380\pi\)
0.695054 + 0.718957i \(0.255380\pi\)
\(198\) 0.809395 + 4.17636i 0.0575212 + 0.296801i
\(199\) −12.7632 7.36884i −0.904760 0.522363i −0.0260186 0.999661i \(-0.508283\pi\)
−0.878741 + 0.477298i \(0.841616\pi\)
\(200\) −1.29393 4.92630i −0.0914949 0.348342i
\(201\) 13.4415 3.11096i 0.948093 0.219430i
\(202\) −5.32638 20.0101i −0.374763 1.40791i
\(203\) −1.97259 + 0.172170i −0.138449 + 0.0120839i
\(204\) 22.4913 5.12743i 1.57470 0.358992i
\(205\) 3.11418 1.79797i 0.217503 0.125576i
\(206\) −13.4655 3.63186i −0.938185 0.253043i
\(207\) 10.4292 + 21.3238i 0.724876 + 1.48211i
\(208\) 9.89185 + 0.0651960i 0.685876 + 0.00452053i
\(209\) 3.72883 0.257929
\(210\) −9.72984 + 6.30056i −0.671423 + 0.434780i
\(211\) 14.9240i 1.02741i −0.857967 0.513704i \(-0.828273\pi\)
0.857967 0.513704i \(-0.171727\pi\)
\(212\) 21.9165 + 12.7500i 1.50523 + 0.875672i
\(213\) 6.46340 + 6.92356i 0.442865 + 0.474395i
\(214\) −2.56401 + 9.50634i −0.175272 + 0.649840i
\(215\) −8.22459 14.2454i −0.560913 0.971529i
\(216\) 14.6113 + 1.58454i 0.994171 + 0.107814i
\(217\) 7.95278 + 3.71044i 0.539870 + 0.251881i
\(218\) −0.992886 3.73007i −0.0672467 0.252633i
\(219\) −11.0781 + 2.56395i −0.748587 + 0.173256i
\(220\) 3.58688 + 0.0118202i 0.241828 + 0.000796920i
\(221\) −8.23422 + 14.2621i −0.553894 + 0.959372i
\(222\) 8.05691 4.27256i 0.540745 0.286755i
\(223\) 7.62187i 0.510398i −0.966889 0.255199i \(-0.917859\pi\)
0.966889 0.255199i \(-0.0821410\pi\)
\(224\) −11.3835 9.71684i −0.760589 0.649233i
\(225\) 4.48206 + 3.01607i 0.298804 + 0.201071i
\(226\) 0.532028 0.530278i 0.0353900 0.0352735i
\(227\) −13.6531 7.88264i −0.906190 0.523189i −0.0269870 0.999636i \(-0.508591\pi\)
−0.879203 + 0.476446i \(0.841925\pi\)
\(228\) 3.80029 12.3091i 0.251680 0.815187i
\(229\) −8.82193 15.2800i −0.582970 1.00973i −0.995125 0.0986198i \(-0.968557\pi\)
0.412155 0.911114i \(-0.364776\pi\)
\(230\) 19.3413 5.14835i 1.27533 0.339472i
\(231\) 1.42139 + 4.36954i 0.0935208 + 0.287495i
\(232\) 1.50419 1.48939i 0.0987547 0.0977832i
\(233\) 15.7079 9.06896i 1.02906 0.594127i 0.112344 0.993669i \(-0.464164\pi\)
0.916715 + 0.399542i \(0.130831\pi\)
\(234\) −7.92232 + 6.87905i −0.517899 + 0.449698i
\(235\) 3.71266 + 2.14350i 0.242187 + 0.139827i
\(236\) −8.53454 + 14.6704i −0.555551 + 0.954962i
\(237\) 8.41536 + 2.56781i 0.546637 + 0.166797i
\(238\) 23.4297 8.47858i 1.51872 0.549585i
\(239\) 5.41040i 0.349970i −0.984571 0.174985i \(-0.944012\pi\)
0.984571 0.174985i \(-0.0559877\pi\)
\(240\) 3.69464 11.8284i 0.238488 0.763522i
\(241\) −18.6025 10.7401i −1.19829 0.691834i −0.238117 0.971236i \(-0.576530\pi\)
−0.960174 + 0.279403i \(0.909863\pi\)
\(242\) −3.68077 + 13.6468i −0.236609 + 0.877252i
\(243\) −12.7449 + 8.97601i −0.817583 + 0.575811i
\(244\) −7.02610 + 4.02571i −0.449800 + 0.257719i
\(245\) −9.59453 + 8.04403i −0.612972 + 0.513914i
\(246\) −4.92136 0.177285i −0.313774 0.0113033i
\(247\) 4.59834 + 7.96457i 0.292586 + 0.506773i
\(248\) −9.07391 + 2.38334i −0.576194 + 0.151342i
\(249\) 6.68340 + 7.15923i 0.423543 + 0.453698i
\(250\) 12.1841 12.1441i 0.770593 0.768058i
\(251\) 19.8553i 1.25325i 0.779319 + 0.626627i \(0.215565\pi\)
−0.779319 + 0.626627i \(0.784435\pi\)
\(252\) 15.8727 0.238811i 0.999887 0.0150437i
\(253\) 7.93382i 0.498795i
\(254\) −4.51647 4.53138i −0.283389 0.284324i
\(255\) 14.0781 + 15.0804i 0.881607 + 0.944373i
\(256\) 15.9986 + 0.210899i 0.999913 + 0.0131812i
\(257\) 4.36616 + 7.56240i 0.272353 + 0.471730i 0.969464 0.245234i \(-0.0788647\pi\)
−0.697111 + 0.716964i \(0.745531\pi\)
\(258\) −0.810970 + 22.5121i −0.0504888 + 1.40154i
\(259\) 8.07012 5.64828i 0.501453 0.350967i
\(260\) 4.39805 + 7.67595i 0.272755 + 0.476042i
\(261\) −0.154171 + 2.23991i −0.00954295 + 0.138647i
\(262\) 21.1156 + 5.69522i 1.30453 + 0.351852i
\(263\) 17.1429 + 9.89747i 1.05708 + 0.610304i 0.924623 0.380885i \(-0.124381\pi\)
0.132455 + 0.991189i \(0.457714\pi\)
\(264\) −4.15427 2.62135i −0.255678 0.161333i
\(265\) 22.6757i 1.39296i
\(266\) 2.44163 13.6986i 0.149706 0.839917i
\(267\) 24.5016 + 7.47627i 1.49947 + 0.457540i
\(268\) −8.01104 + 13.7705i −0.489352 + 0.841169i
\(269\) 0.805574 + 0.465098i 0.0491167 + 0.0283575i 0.524357 0.851498i \(-0.324306\pi\)
−0.475241 + 0.879856i \(0.657639\pi\)
\(270\) 5.34592 + 12.0074i 0.325343 + 0.730749i
\(271\) −7.45646 + 4.30499i −0.452948 + 0.261509i −0.709074 0.705134i \(-0.750887\pi\)
0.256127 + 0.966643i \(0.417554\pi\)
\(272\) −13.4703 + 22.9801i −0.816754 + 1.39337i
\(273\) −7.58025 + 8.42448i −0.458777 + 0.509873i
\(274\) −4.07950 15.3259i −0.246452 0.925870i
\(275\) −0.902819 1.56373i −0.0544420 0.0942964i
\(276\) −26.1899 8.08587i −1.57645 0.486712i
\(277\) 25.5583 + 14.7561i 1.53565 + 0.886607i 0.999086 + 0.0427456i \(0.0136105\pi\)
0.536562 + 0.843861i \(0.319723\pi\)
\(278\) −17.9528 18.0120i −1.07674 1.08029i
\(279\) 5.55539 8.25565i 0.332593 0.494253i
\(280\) 2.39211 13.1694i 0.142956 0.787024i
\(281\) 21.3260i 1.27220i −0.771605 0.636102i \(-0.780546\pi\)
0.771605 0.636102i \(-0.219454\pi\)
\(282\) −2.75053 5.18678i −0.163792 0.308868i
\(283\) −10.4247 + 18.0561i −0.619684 + 1.07332i 0.369860 + 0.929088i \(0.379406\pi\)
−0.989543 + 0.144236i \(0.953928\pi\)
\(284\) −10.9368 0.0360412i −0.648980 0.00213865i
\(285\) 11.2242 2.59777i 0.664865 0.153879i
\(286\) 3.38879 0.902042i 0.200383 0.0533389i
\(287\) −5.29898 + 0.462500i −0.312789 + 0.0273005i
\(288\) −12.8871 + 11.0419i −0.759379 + 0.650649i
\(289\) −13.6728 23.6820i −0.804284 1.39306i
\(290\) 1.82778 + 0.492981i 0.107331 + 0.0289488i
\(291\) −2.07523 2.22297i −0.121652 0.130313i
\(292\) 6.60244 11.3492i 0.386378 0.664163i
\(293\) 13.1058i 0.765652i −0.923821 0.382826i \(-0.874951\pi\)
0.923821 0.382826i \(-0.125049\pi\)
\(294\) 16.9832 2.36062i 0.990478 0.137674i
\(295\) −15.1786 −0.883733
\(296\) −2.77574 + 10.1581i −0.161337 + 0.590427i
\(297\) 5.14466 0.823477i 0.298523 0.0477830i
\(298\) −0.340652 + 1.26300i −0.0197334 + 0.0731637i
\(299\) 16.9462 9.78389i 0.980023 0.565817i
\(300\) −6.08207 + 1.38655i −0.351148 + 0.0800528i
\(301\) 2.11565 + 24.2395i 0.121944 + 1.39714i
\(302\) 26.1496 6.96060i 1.50474 0.400537i
\(303\) −24.7076 + 5.71841i −1.41941 + 0.328514i
\(304\) 7.35256 + 12.9311i 0.421698 + 0.741649i
\(305\) −6.27166 3.62094i −0.359114 0.207335i
\(306\) −5.37549 27.7367i −0.307296 1.58560i
\(307\) 18.6425 1.06398 0.531992 0.846750i \(-0.321444\pi\)
0.531992 + 0.846750i \(0.321444\pi\)
\(308\) −4.80076 2.25913i −0.273549 0.128726i
\(309\) −4.98511 + 16.3375i −0.283593 + 0.929406i
\(310\) −5.92299 5.94254i −0.336403 0.337513i
\(311\) −9.92896 + 17.1975i −0.563020 + 0.975179i 0.434211 + 0.900811i \(0.357027\pi\)
−0.997231 + 0.0743677i \(0.976306\pi\)
\(312\) 0.476049 12.1059i 0.0269510 0.685362i
\(313\) 2.33108 1.34585i 0.131760 0.0760718i −0.432671 0.901552i \(-0.642429\pi\)
0.564431 + 0.825480i \(0.309096\pi\)
\(314\) 14.9474 3.97876i 0.843532 0.224535i
\(315\) 7.32270 + 12.1626i 0.412587 + 0.685284i
\(316\) −8.81510 + 5.05074i −0.495888 + 0.284126i
\(317\) 5.35288 + 9.27147i 0.300648 + 0.520737i 0.976283 0.216499i \(-0.0694638\pi\)
−0.675635 + 0.737236i \(0.736130\pi\)
\(318\) 16.4850 26.3170i 0.924435 1.47578i
\(319\) 0.375209 0.649881i 0.0210077 0.0363864i
\(320\) 7.03168 + 12.4621i 0.393083 + 0.696655i
\(321\) 11.5339 + 3.51938i 0.643760 + 0.196433i
\(322\) −29.1466 5.19505i −1.62427 0.289509i
\(323\) −24.7645 −1.37794
\(324\) 2.52491 17.8220i 0.140273 0.990113i
\(325\) 2.22669 3.85674i 0.123514 0.213933i
\(326\) 14.5239 + 3.91733i 0.804406 + 0.216961i
\(327\) −4.60572 + 1.06596i −0.254697 + 0.0589479i
\(328\) 4.04071 4.00095i 0.223111 0.220916i
\(329\) −3.63618 5.19528i −0.200469 0.286425i
\(330\) 0.158151 4.39019i 0.00870592 0.241672i
\(331\) −18.8525 + 10.8845i −1.03623 + 0.598266i −0.918762 0.394811i \(-0.870810\pi\)
−0.117465 + 0.993077i \(0.537477\pi\)
\(332\) −11.3091 0.0372680i −0.620666 0.00204535i
\(333\) −4.90725 10.0335i −0.268916 0.549834i
\(334\) 7.91732 + 7.94346i 0.433217 + 0.434647i
\(335\) −14.2476 −0.778428
\(336\) −12.3503 + 13.5451i −0.673763 + 0.738948i
\(337\) −11.3104 −0.616116 −0.308058 0.951368i \(-0.599679\pi\)
−0.308058 + 0.951368i \(0.599679\pi\)
\(338\) −6.87284 6.89552i −0.373833 0.375067i
\(339\) −0.627796 0.672492i −0.0340972 0.0365247i
\(340\) −23.8218 0.0785025i −1.29192 0.00425740i
\(341\) −2.88028 + 1.66293i −0.155976 + 0.0900527i
\(342\) −14.9152 5.14497i −0.806519 0.278208i
\(343\) 17.8922 4.78234i 0.966086 0.258222i
\(344\) −18.3019 18.4837i −0.986771 0.996575i
\(345\) −5.52727 23.8817i −0.297578 1.28575i
\(346\) −5.83175 1.57292i −0.313517 0.0845606i
\(347\) 9.94032 17.2171i 0.533624 0.924265i −0.465604 0.884993i \(-0.654163\pi\)
0.999229 0.0392715i \(-0.0125037\pi\)
\(348\) −1.76289 1.90092i −0.0945009 0.101900i
\(349\) −9.45348 −0.506033 −0.253017 0.967462i \(-0.581423\pi\)
−0.253017 + 0.967462i \(0.581423\pi\)
\(350\) −6.33585 + 2.29277i −0.338665 + 0.122554i
\(351\) 8.10323 + 9.97319i 0.432518 + 0.532330i
\(352\) 5.49072 1.42286i 0.292657 0.0758386i
\(353\) 8.48135 14.6901i 0.451417 0.781877i −0.547057 0.837095i \(-0.684252\pi\)
0.998474 + 0.0552182i \(0.0175854\pi\)
\(354\) 17.6160 + 11.0347i 0.936281 + 0.586488i
\(355\) −4.89051 8.47062i −0.259561 0.449574i
\(356\) −25.6655 + 14.7054i −1.36027 + 0.779385i
\(357\) −9.44000 29.0197i −0.499618 1.53589i
\(358\) −10.3269 + 2.74886i −0.545794 + 0.145282i
\(359\) −18.2162 + 10.5171i −0.961413 + 0.555072i −0.896608 0.442826i \(-0.853976\pi\)
−0.0648056 + 0.997898i \(0.520643\pi\)
\(360\) −14.3311 4.99639i −0.755313 0.263333i
\(361\) 2.58521 4.47771i 0.136064 0.235669i
\(362\) −4.99414 5.01062i −0.262486 0.263352i
\(363\) 16.5575 + 5.05225i 0.869044 + 0.265174i
\(364\) −1.09487 13.0401i −0.0573866 0.683486i
\(365\) 11.7424 0.614625
\(366\) 4.64638 + 8.76183i 0.242870 + 0.457988i
\(367\) 1.24875 + 0.720966i 0.0651842 + 0.0376341i 0.532238 0.846595i \(-0.321351\pi\)
−0.467054 + 0.884229i \(0.654685\pi\)
\(368\) 27.5135 15.6440i 1.43424 0.815501i
\(369\) −0.414151 + 6.01708i −0.0215598 + 0.313237i
\(370\) −9.10071 + 2.42246i −0.473124 + 0.125938i
\(371\) 14.1817 30.3964i 0.736278 1.57810i
\(372\) 2.55394 + 11.2027i 0.132415 + 0.580835i
\(373\) −18.8362 + 10.8751i −0.975302 + 0.563091i −0.900848 0.434134i \(-0.857055\pi\)
−0.0744535 + 0.997224i \(0.523721\pi\)
\(374\) −2.45905 + 9.11717i −0.127154 + 0.471438i
\(375\) −14.3774 15.4010i −0.742443 0.795302i
\(376\) 6.53944 + 1.78693i 0.337246 + 0.0921539i
\(377\) 1.85081 0.0953217
\(378\) 0.343496 19.4392i 0.0176675 0.999844i
\(379\) 1.82298i 0.0936402i 0.998903 + 0.0468201i \(0.0149087\pi\)
−0.998903 + 0.0468201i \(0.985091\pi\)
\(380\) −6.68953 + 11.4989i −0.343166 + 0.589882i
\(381\) −5.72774 + 5.34705i −0.293441 + 0.273938i
\(382\) −16.5376 4.46046i −0.846139 0.228217i
\(383\) 4.81069 + 8.33236i 0.245815 + 0.425763i 0.962360 0.271777i \(-0.0876112\pi\)
−0.716546 + 0.697540i \(0.754278\pi\)
\(384\) 0.899025 19.5753i 0.0458782 0.998947i
\(385\) −0.412582 4.72705i −0.0210271 0.240913i
\(386\) 1.61928 0.431026i 0.0824192 0.0219387i
\(387\) 27.5244 + 1.89448i 1.39914 + 0.0963019i
\(388\) 3.51152 + 0.0115719i 0.178270 + 0.000587473i
\(389\) −14.0629 + 24.3576i −0.713017 + 1.23498i 0.250703 + 0.968064i \(0.419338\pi\)
−0.963719 + 0.266917i \(0.913995\pi\)
\(390\) 9.57223 5.07613i 0.484709 0.257040i
\(391\) 52.6914i 2.66472i
\(392\) −11.4429 + 16.1573i −0.577955 + 0.816069i
\(393\) 7.81730 25.6193i 0.394331 1.29232i
\(394\) 19.4789 + 19.5432i 0.981334 + 0.984573i
\(395\) −7.86857 4.54292i −0.395911 0.228579i
\(396\) −3.37517 + 4.98020i −0.169609 + 0.250264i
\(397\) 9.42646 + 16.3271i 0.473101 + 0.819434i 0.999526 0.0307871i \(-0.00980139\pi\)
−0.526425 + 0.850221i \(0.676468\pi\)
\(398\) −5.36119 20.1409i −0.268732 1.00957i
\(399\) −16.6706 3.53751i −0.834571 0.177097i
\(400\) 3.64261 6.21424i 0.182131 0.310712i
\(401\) 5.22718 3.01791i 0.261033 0.150707i −0.363773 0.931488i \(-0.618512\pi\)
0.624806 + 0.780780i \(0.285178\pi\)
\(402\) 16.5355 + 10.3578i 0.824714 + 0.516602i
\(403\) −7.10385 4.10141i −0.353868 0.204306i
\(404\) 14.7255 25.3123i 0.732621 1.25933i
\(405\) 14.9123 6.06290i 0.740999 0.301268i
\(406\) −2.14179 1.80395i −0.106295 0.0895286i
\(407\) 3.73312i 0.185044i
\(408\) 27.5901 + 17.4093i 1.36591 + 0.861890i
\(409\) 22.6629 + 13.0844i 1.12061 + 0.646984i 0.941556 0.336856i \(-0.109364\pi\)
0.179052 + 0.983840i \(0.442697\pi\)
\(410\) 4.90997 + 1.32430i 0.242486 + 0.0654024i
\(411\) −18.9237 + 4.37976i −0.933436 + 0.216038i
\(412\) −9.80544 17.1135i −0.483080 0.843123i
\(413\) 20.3467 + 9.49292i 1.00120 + 0.467116i
\(414\) −10.9469 + 31.7349i −0.538012 + 1.55969i
\(415\) −5.05698 8.75894i −0.248237 0.429959i
\(416\) 9.81023 + 9.97322i 0.480986 + 0.488978i
\(417\) −22.7675 + 21.2543i −1.11493 + 1.04083i
\(418\) 3.72268 + 3.73497i 0.182082 + 0.182683i
\(419\) 2.51866i 0.123045i −0.998106 0.0615223i \(-0.980404\pi\)
0.998106 0.0615223i \(-0.0195955\pi\)
\(420\) −16.0247 3.45569i −0.781927 0.168620i
\(421\) 33.4873i 1.63207i −0.578003 0.816034i \(-0.696168\pi\)
0.578003 0.816034i \(-0.303832\pi\)
\(422\) 14.9485 14.8994i 0.727684 0.725289i
\(423\) −6.45926 + 3.15913i −0.314060 + 0.153602i
\(424\) 9.10938 + 34.6815i 0.442391 + 1.68428i
\(425\) 5.99595 + 10.3853i 0.290846 + 0.503761i
\(426\) −0.482220 + 13.3862i −0.0233636 + 0.648563i
\(427\) 6.14247 + 8.77620i 0.297255 + 0.424710i
\(428\) −12.0818 + 6.92243i −0.583995 + 0.334608i
\(429\) −0.968433 4.18432i −0.0467564 0.202021i
\(430\) 6.05783 22.4601i 0.292135 1.08312i
\(431\) 12.0003 + 6.92836i 0.578033 + 0.333727i 0.760351 0.649512i \(-0.225027\pi\)
−0.182319 + 0.983240i \(0.558360\pi\)
\(432\) 13.0000 + 16.2173i 0.625464 + 0.780253i
\(433\) 9.79368i 0.470654i −0.971916 0.235327i \(-0.924384\pi\)
0.971916 0.235327i \(-0.0756161\pi\)
\(434\) 4.22312 + 11.6702i 0.202716 + 0.560187i
\(435\) 0.676669 2.21762i 0.0324438 0.106327i
\(436\) 2.74497 4.71844i 0.131460 0.225973i
\(437\) 25.4829 + 14.7126i 1.21901 + 0.703798i
\(438\) −13.6280 8.53660i −0.651170 0.407894i
\(439\) 6.99463 4.03835i 0.333835 0.192740i −0.323707 0.946157i \(-0.604929\pi\)
0.657543 + 0.753417i \(0.271596\pi\)
\(440\) 3.56913 + 3.60459i 0.170151 + 0.171842i
\(441\) −2.20931 20.8835i −0.105205 0.994451i
\(442\) −22.5062 + 5.99079i −1.07051 + 0.284953i
\(443\) −8.84884 15.3266i −0.420421 0.728191i 0.575559 0.817760i \(-0.304784\pi\)
−0.995981 + 0.0895692i \(0.971451\pi\)
\(444\) 12.3232 + 3.80466i 0.584834 + 0.180561i
\(445\) −22.9096 13.2269i −1.08602 0.627014i
\(446\) 7.63441 7.60930i 0.361500 0.360311i
\(447\) 1.53238 + 0.467581i 0.0724791 + 0.0221158i
\(448\) −1.63185 21.1030i −0.0770977 0.997024i
\(449\) 19.4650i 0.918609i 0.888279 + 0.459305i \(0.151901\pi\)
−0.888279 + 0.459305i \(0.848099\pi\)
\(450\) 1.45363 + 7.50054i 0.0685250 + 0.353579i
\(451\) 1.00793 1.74578i 0.0474614 0.0822056i
\(452\) 1.06230 + 0.00350071i 0.0499665 + 0.000164660i
\(453\) −7.47291 32.2882i −0.351108 1.51703i
\(454\) −5.73500 21.5453i −0.269157 1.01117i
\(455\) 9.58793 6.71059i 0.449489 0.314597i
\(456\) 16.1233 8.48221i 0.755045 0.397216i
\(457\) 7.75626 + 13.4342i 0.362823 + 0.628427i 0.988424 0.151715i \(-0.0484797\pi\)
−0.625601 + 0.780143i \(0.715146\pi\)
\(458\) 6.49781 24.0913i 0.303623 1.12571i
\(459\) −34.1676 + 5.46902i −1.59481 + 0.255272i
\(460\) 24.4662 + 14.2333i 1.14074 + 0.663631i
\(461\) 0.857290i 0.0399280i 0.999801 + 0.0199640i \(0.00635516\pi\)
−0.999801 + 0.0199640i \(0.993645\pi\)
\(462\) −2.95769 + 5.78607i −0.137604 + 0.269192i
\(463\) 37.5731 1.74617 0.873086 0.487566i \(-0.162115\pi\)
0.873086 + 0.487566i \(0.162115\pi\)
\(464\) 2.99355 + 0.0197301i 0.138972 + 0.000915947i
\(465\) −7.51146 + 7.01222i −0.348335 + 0.325184i
\(466\) 24.7659 + 6.67975i 1.14726 + 0.309434i
\(467\) −8.69155 + 5.01807i −0.402197 + 0.232208i −0.687431 0.726249i \(-0.741262\pi\)
0.285235 + 0.958458i \(0.407928\pi\)
\(468\) −14.7996 1.06766i −0.684113 0.0493526i
\(469\) 19.0986 + 8.91063i 0.881893 + 0.411455i
\(470\) 1.55950 + 5.85874i 0.0719345 + 0.270244i
\(471\) −4.27161 18.4564i −0.196825 0.850424i
\(472\) −23.2150 + 6.09762i −1.06856 + 0.280666i
\(473\) −7.98586 4.61064i −0.367190 0.211997i
\(474\) 5.82945 + 10.9928i 0.267755 + 0.504916i
\(475\) 6.69680 0.307270
\(476\) 31.8836 + 15.0037i 1.46138 + 0.687695i
\(477\) −31.5540 21.2333i −1.44476 0.972208i
\(478\) 5.41931 5.40148i 0.247873 0.247058i
\(479\) 11.0594 19.1555i 0.505318 0.875237i −0.494663 0.869085i \(-0.664708\pi\)
0.999981 0.00615194i \(-0.00195824\pi\)
\(480\) 15.5365 8.10820i 0.709139 0.370087i
\(481\) −7.97373 + 4.60364i −0.363571 + 0.209908i
\(482\) −7.81397 29.3555i −0.355917 1.33711i
\(483\) −7.52675 + 35.4699i −0.342479 + 1.61394i
\(484\) −17.3440 + 9.93751i −0.788364 + 0.451705i
\(485\) 1.57021 + 2.71969i 0.0712997 + 0.123495i
\(486\) −21.7146 3.80463i −0.984995 0.172581i
\(487\) 11.2659 19.5131i 0.510506 0.884223i −0.489419 0.872049i \(-0.662791\pi\)
0.999926 0.0121746i \(-0.00387541\pi\)
\(488\) −11.0468 3.01860i −0.500067 0.136645i
\(489\) 5.37696 17.6217i 0.243155 0.796879i
\(490\) −17.6360 1.57956i −0.796712 0.0713572i
\(491\) −25.1085 −1.13313 −0.566565 0.824017i \(-0.691728\pi\)
−0.566565 + 0.824017i \(0.691728\pi\)
\(492\) −4.73567 5.10645i −0.213500 0.230217i
\(493\) −2.49190 + 4.31610i −0.112230 + 0.194387i
\(494\) −3.38692 + 12.5573i −0.152385 + 0.564982i
\(495\) −5.36765 0.369451i −0.241258 0.0166056i
\(496\) −11.4462 6.70944i −0.513950 0.301263i
\(497\) 1.25801 + 14.4133i 0.0564295 + 0.646526i
\(498\) −0.498633 + 13.8418i −0.0223443 + 0.620267i
\(499\) −9.19695 + 5.30986i −0.411712 + 0.237702i −0.691525 0.722353i \(-0.743061\pi\)
0.279813 + 0.960054i \(0.409727\pi\)
\(500\) 24.3281 + 0.0801710i 1.08799 + 0.00358535i
\(501\) 10.0407 9.37332i 0.448583 0.418769i
\(502\) −19.8880 + 19.8225i −0.887643 + 0.884723i
\(503\) 13.3046 0.593223 0.296612 0.954998i \(-0.404143\pi\)
0.296612 + 0.954998i \(0.404143\pi\)
\(504\) 16.0857 + 15.6604i 0.716516 + 0.697571i
\(505\) 26.1892 1.16540
\(506\) 7.94688 7.92074i 0.353282 0.352120i
\(507\) −8.71605 + 8.13675i −0.387093 + 0.361366i
\(508\) 0.0298162 9.04782i 0.00132288 0.401432i
\(509\) −20.2595 + 11.6968i −0.897985 + 0.518452i −0.876546 0.481318i \(-0.840158\pi\)
−0.0214392 + 0.999770i \(0.506825\pi\)
\(510\) −1.05034 + 29.1569i −0.0465097 + 1.29109i
\(511\) −15.7405 7.34385i −0.696318 0.324873i
\(512\) 15.7610 + 16.2355i 0.696544 + 0.717515i
\(513\) −6.89536 + 18.0514i −0.304438 + 0.796988i
\(514\) −3.21590 + 11.9233i −0.141847 + 0.525913i
\(515\) 8.81956 15.2759i 0.388636 0.673138i
\(516\) −23.3588 + 21.6627i −1.02832 + 0.953648i
\(517\) 2.40326 0.105695
\(518\) 13.7144 + 2.44444i 0.602576 + 0.107403i
\(519\) −2.15900 + 7.07558i −0.0947695 + 0.310584i
\(520\) −3.29779 + 12.0686i −0.144618 + 0.529242i
\(521\) −0.735700 + 1.27427i −0.0322316 + 0.0558267i −0.881691 0.471827i \(-0.843595\pi\)
0.849460 + 0.527654i \(0.176928\pi\)
\(522\) −2.39751 + 2.08179i −0.104936 + 0.0911175i
\(523\) −5.30372 9.18631i −0.231915 0.401689i 0.726456 0.687213i \(-0.241166\pi\)
−0.958372 + 0.285523i \(0.907833\pi\)
\(524\) 15.3762 + 26.8362i 0.671713 + 1.17235i
\(525\) 2.55275 + 7.84749i 0.111411 + 0.342492i
\(526\) 7.20089 + 27.0523i 0.313974 + 1.17954i
\(527\) 19.1290 11.0441i 0.833272 0.481090i
\(528\) −1.52176 6.77814i −0.0662261 0.294980i
\(529\) 19.8039 34.3014i 0.861040 1.49137i
\(530\) −22.7131 + 22.6383i −0.986592 + 0.983347i
\(531\) 14.2131 21.1216i 0.616797 0.916597i
\(532\) 16.1588 11.2304i 0.700572 0.486899i
\(533\) 4.97185 0.215355
\(534\) 16.9726 + 32.0059i 0.734478 + 1.38503i
\(535\) −10.7845 6.22642i −0.466254 0.269192i
\(536\) −21.7910 + 5.72359i −0.941229 + 0.247221i
\(537\) 2.95118 + 12.7512i 0.127353 + 0.550254i
\(538\) 0.338381 + 1.27123i 0.0145887 + 0.0548067i
\(539\) −2.40331 + 6.59457i −0.103518 + 0.284048i
\(540\) −6.69010 + 17.3424i −0.287896 + 0.746296i
\(541\) 14.0009 8.08343i 0.601946 0.347534i −0.167861 0.985811i \(-0.553686\pi\)
0.769807 + 0.638277i \(0.220353\pi\)
\(542\) −11.7562 3.17085i −0.504974 0.136199i
\(543\) −6.33350 + 5.91256i −0.271797 + 0.253732i
\(544\) −36.4659 + 9.44972i −1.56346 + 0.405154i
\(545\) 4.88190 0.209118
\(546\) −16.0061 + 0.817859i −0.684998 + 0.0350011i
\(547\) 12.4170i 0.530914i −0.964123 0.265457i \(-0.914477\pi\)
0.964123 0.265457i \(-0.0855228\pi\)
\(548\) 11.2783 19.3868i 0.481787 0.828164i
\(549\) 10.9114 5.33660i 0.465687 0.227761i
\(550\) 0.664972 2.46545i 0.0283545 0.105127i
\(551\) 1.39159 + 2.41030i 0.0592836 + 0.102682i
\(552\) −18.0476 34.3056i −0.768156 1.46014i
\(553\) 7.70648 + 11.0108i 0.327713 + 0.468228i
\(554\) 10.7358 + 40.3321i 0.456119 + 1.71355i
\(555\) 2.60076 + 11.2371i 0.110396 + 0.476989i
\(556\) 0.118518 35.9647i 0.00502629 1.52524i
\(557\) 10.7167 18.5619i 0.454081 0.786492i −0.544554 0.838726i \(-0.683301\pi\)
0.998635 + 0.0522341i \(0.0166342\pi\)
\(558\) 13.8155 2.67749i 0.584855 0.113347i
\(559\) 22.7431i 0.961931i
\(560\) 15.5793 10.7517i 0.658344 0.454341i
\(561\) 11.0617 + 3.37530i 0.467026 + 0.142505i
\(562\) 21.3611 21.2908i 0.901064 0.898100i
\(563\) 17.9430 + 10.3594i 0.756205 + 0.436595i 0.827932 0.560829i \(-0.189517\pi\)
−0.0717262 + 0.997424i \(0.522851\pi\)
\(564\) 2.44932 7.93328i 0.103135 0.334051i
\(565\) 0.475020 + 0.822758i 0.0199842 + 0.0346137i
\(566\) −28.4933 + 7.58447i −1.19766 + 0.318799i
\(567\) −23.7815 1.19916i −0.998731 0.0503598i
\(568\) −10.8827 10.9908i −0.456627 0.461164i
\(569\) −23.8691 + 13.7808i −1.00064 + 0.577722i −0.908439 0.418018i \(-0.862725\pi\)
−0.0922056 + 0.995740i \(0.529392\pi\)
\(570\) 13.8077 + 8.64920i 0.578343 + 0.362275i
\(571\) 0.339940 + 0.196264i 0.0142260 + 0.00821340i 0.507096 0.861889i \(-0.330719\pi\)
−0.492870 + 0.870103i \(0.664052\pi\)
\(572\) 4.28673 + 2.49382i 0.179237 + 0.104272i
\(573\) −6.12246 + 20.0649i −0.255770 + 0.838222i
\(574\) −5.75350 4.84596i −0.240146 0.202267i
\(575\) 14.2488i 0.594214i
\(576\) −23.9259 1.88463i −0.996912 0.0785260i
\(577\) −12.7927 7.38589i −0.532569 0.307479i 0.209493 0.977810i \(-0.432819\pi\)
−0.742062 + 0.670331i \(0.766152\pi\)
\(578\) 10.0707 37.3383i 0.418888 1.55307i
\(579\) −0.462751 1.99941i −0.0192313 0.0830926i
\(580\) 1.33097 + 2.32296i 0.0552656 + 0.0964555i
\(581\) 1.30083 + 14.9039i 0.0539675 + 0.618319i
\(582\) 0.154828 4.29795i 0.00641782 0.178156i
\(583\) 6.35591 + 11.0088i 0.263235 + 0.455936i
\(584\) 17.9595 4.71720i 0.743168 0.195199i
\(585\) −5.83019 11.9206i −0.241049 0.492856i
\(586\) 13.1274 13.0842i 0.542289 0.540505i
\(587\) 3.51421i 0.145047i −0.997367 0.0725236i \(-0.976895\pi\)
0.997367 0.0725236i \(-0.0231052\pi\)
\(588\) 19.3197 + 14.6544i 0.796729 + 0.604337i
\(589\) 12.3350i 0.508256i
\(590\) −15.1536 15.2036i −0.623863 0.625923i
\(591\) 24.7029 23.0611i 1.01614 0.948607i
\(592\) −12.9460 + 7.36103i −0.532076 + 0.302536i
\(593\) −17.8824 30.9732i −0.734342 1.27192i −0.955012 0.296568i \(-0.904158\pi\)
0.220670 0.975349i \(-0.429176\pi\)
\(594\) 5.96101 + 4.33101i 0.244583 + 0.177703i
\(595\) 2.74011 + 31.3941i 0.112334 + 1.28703i
\(596\) −1.60517 + 0.919706i −0.0657504 + 0.0376726i
\(597\) −24.8690 + 5.75578i −1.01782 + 0.235568i
\(598\) 26.7182 + 7.20633i 1.09259 + 0.294689i
\(599\) −35.4819 20.4855i −1.44975 0.837014i −0.451284 0.892380i \(-0.649034\pi\)
−0.998466 + 0.0553669i \(0.982367\pi\)
\(600\) −7.46087 4.70781i −0.304589 0.192196i
\(601\) 36.1540i 1.47475i 0.675482 + 0.737377i \(0.263936\pi\)
−0.675482 + 0.737377i \(0.736064\pi\)
\(602\) −22.1673 + 26.3187i −0.903470 + 1.07267i
\(603\) 13.3413 19.8260i 0.543300 0.807376i
\(604\) 33.0785 + 19.2435i 1.34595 + 0.783007i
\(605\) −15.4817 8.93835i −0.629419 0.363395i
\(606\) −30.3947 19.0393i −1.23470 0.773418i
\(607\) 9.04038 5.21946i 0.366938 0.211851i −0.305182 0.952294i \(-0.598717\pi\)
0.672120 + 0.740443i \(0.265384\pi\)
\(608\) −5.61194 + 20.2744i −0.227594 + 0.822237i
\(609\) −2.29399 + 2.54948i −0.0929573 + 0.103310i
\(610\) −2.63441 9.89696i −0.106664 0.400716i
\(611\) 2.96367 + 5.13323i 0.119897 + 0.207668i
\(612\) 22.4158 33.0753i 0.906104 1.33699i
\(613\) 5.37925 + 3.10571i 0.217266 + 0.125439i 0.604684 0.796466i \(-0.293300\pi\)
−0.387418 + 0.921904i \(0.626633\pi\)
\(614\) 18.6117 + 18.6732i 0.751109 + 0.753588i
\(615\) 1.81774 5.95720i 0.0732984 0.240217i
\(616\) −2.53000 7.06407i −0.101936 0.284620i
\(617\) 22.4963i 0.905669i 0.891595 + 0.452834i \(0.149587\pi\)
−0.891595 + 0.452834i \(0.850413\pi\)
\(618\) −21.3413 + 11.3172i −0.858472 + 0.455245i
\(619\) 14.1624 24.5300i 0.569235 0.985943i −0.427407 0.904059i \(-0.640573\pi\)
0.996642 0.0818842i \(-0.0260938\pi\)
\(620\) 0.0391015 11.8655i 0.00157036 0.476529i
\(621\) 38.4079 + 14.6712i 1.54126 + 0.588737i
\(622\) −27.1384 + 7.22380i −1.08815 + 0.289648i
\(623\) 22.4377 + 32.0584i 0.898947 + 1.28439i
\(624\) 12.6011 11.6091i 0.504447 0.464736i
\(625\) 6.37661 + 11.0446i 0.255064 + 0.441785i
\(626\) 3.67529 + 0.991285i 0.146894 + 0.0396197i
\(627\) 4.72106 4.40728i 0.188541 0.176010i
\(628\) 18.9081 + 10.9998i 0.754515 + 0.438941i
\(629\) 24.7930i 0.988563i
\(630\) −4.87199 + 19.4773i −0.194105 + 0.775993i
\(631\) 8.51542 0.338993 0.169497 0.985531i \(-0.445786\pi\)
0.169497 + 0.985531i \(0.445786\pi\)
\(632\) −13.8596 3.78720i −0.551306 0.150647i
\(633\) −17.6393 18.8952i −0.701101 0.751016i
\(634\) −3.94267 + 14.6179i −0.156584 + 0.580550i
\(635\) 7.00758 4.04583i 0.278087 0.160554i
\(636\) 42.8182 9.76145i 1.69785 0.387066i
\(637\) −17.0494 + 2.99902i −0.675520 + 0.118825i
\(638\) 1.02554 0.272983i 0.0406016 0.0108075i
\(639\) 16.3666 + 1.12650i 0.647452 + 0.0445636i
\(640\) −5.46258 + 19.4848i −0.215927 + 0.770206i
\(641\) −0.0793494 0.0458124i −0.00313411 0.00180948i 0.498432 0.866929i \(-0.333909\pi\)
−0.501566 + 0.865119i \(0.667243\pi\)
\(642\) 7.98971 + 15.0665i 0.315329 + 0.594626i
\(643\) −5.89351 −0.232417 −0.116209 0.993225i \(-0.537074\pi\)
−0.116209 + 0.993225i \(0.537074\pi\)
\(644\) −23.8949 34.3810i −0.941590 1.35480i
\(645\) −27.2505 8.31503i −1.07299 0.327404i
\(646\) −24.7237 24.8053i −0.972741 0.975951i
\(647\) 4.05903 7.03045i 0.159577 0.276396i −0.775139 0.631791i \(-0.782320\pi\)
0.934716 + 0.355395i \(0.115654\pi\)
\(648\) 20.3721 15.2636i 0.800292 0.599610i
\(649\) −7.36901 + 4.25450i −0.289259 + 0.167004i
\(650\) 6.08611 1.62002i 0.238717 0.0635426i
\(651\) 14.4545 4.70200i 0.566518 0.184286i
\(652\) 10.5762 + 18.4587i 0.414196 + 0.722899i
\(653\) −16.7312 28.9792i −0.654741 1.13404i −0.981959 0.189095i \(-0.939444\pi\)
0.327218 0.944949i \(-0.393889\pi\)
\(654\) −5.66584 3.54910i −0.221552 0.138781i
\(655\) −13.8302 + 23.9547i −0.540392 + 0.935986i
\(656\) 8.04158 + 0.0530011i 0.313971 + 0.00206935i
\(657\) −10.9955 + 16.3399i −0.428974 + 0.637481i
\(658\) 1.57365 8.82888i 0.0613473 0.344186i
\(659\) 15.5448 0.605540 0.302770 0.953064i \(-0.402089\pi\)
0.302770 + 0.953064i \(0.402089\pi\)
\(660\) 4.55531 4.22454i 0.177315 0.164440i
\(661\) −15.4190 + 26.7065i −0.599731 + 1.03876i 0.393130 + 0.919483i \(0.371392\pi\)
−0.992861 + 0.119281i \(0.961941\pi\)
\(662\) −29.7238 8.01699i −1.15525 0.311589i
\(663\) 6.43172 + 27.7896i 0.249787 + 1.07926i
\(664\) −11.2531 11.3649i −0.436705 0.441044i
\(665\) 15.9481 + 7.44072i 0.618441 + 0.288539i
\(666\) 5.15089 14.9323i 0.199593 0.578616i
\(667\) 5.12838 2.96087i 0.198572 0.114646i
\(668\) −0.0522675 + 15.8607i −0.00202229 + 0.613670i
\(669\) −9.00865 9.65002i −0.348294 0.373091i
\(670\) −14.2241 14.2710i −0.549524 0.551338i
\(671\) −4.05974 −0.156725
\(672\) −25.8973 + 1.15220i −0.999012 + 0.0444469i
\(673\) 3.84855 0.148351 0.0741753 0.997245i \(-0.476368\pi\)
0.0741753 + 0.997245i \(0.476368\pi\)
\(674\) −11.2917 11.3290i −0.434941 0.436377i
\(675\) 9.23956 1.47893i 0.355631 0.0569239i
\(676\) 0.0453721 13.7683i 0.00174508 0.529550i
\(677\) −32.5497 + 18.7926i −1.25099 + 0.722257i −0.971305 0.237836i \(-0.923562\pi\)
−0.279680 + 0.960093i \(0.590228\pi\)
\(678\) 0.0468384 1.30021i 0.00179882 0.0499343i
\(679\) −0.403913 4.62773i −0.0155008 0.177596i
\(680\) −23.7039 23.9394i −0.909003 0.918034i
\(681\) −26.6031 + 6.15711i −1.01943 + 0.235941i
\(682\) −4.54120 1.22483i −0.173891 0.0469013i
\(683\) −1.02051 + 1.76757i −0.0390487 + 0.0676343i −0.884889 0.465802i \(-0.845766\pi\)
0.845841 + 0.533436i \(0.179099\pi\)
\(684\) −9.73712 20.0762i −0.372308 0.767632i
\(685\) 20.0584 0.766394
\(686\) 22.6529 + 13.1472i 0.864890 + 0.501961i
\(687\) −29.2296 8.91894i −1.11518 0.340279i
\(688\) 0.242447 36.7852i 0.00924321 1.40242i
\(689\) −15.6761 + 27.1517i −0.597210 + 1.03440i
\(690\) 18.4029 29.3787i 0.700586 1.11843i
\(691\) 11.7334 + 20.3229i 0.446360 + 0.773119i 0.998146 0.0608673i \(-0.0193866\pi\)
−0.551786 + 0.833986i \(0.686053\pi\)
\(692\) −4.24663 7.41168i −0.161433 0.281750i
\(693\) 6.96419 + 3.85225i 0.264548 + 0.146335i
\(694\) 27.1694 7.23206i 1.03134 0.274525i
\(695\) 27.8548 16.0820i 1.05659 0.610025i
\(696\) 0.144066 3.66358i 0.00546079 0.138868i
\(697\) −6.69401 + 11.5944i −0.253554 + 0.439168i
\(698\) −9.43789 9.46905i −0.357230 0.358409i
\(699\) 9.16868 30.0481i 0.346791 1.13652i
\(700\) −8.62194 4.05729i −0.325879 0.153351i
\(701\) 15.4603 0.583926 0.291963 0.956430i \(-0.405692\pi\)
0.291963 + 0.956430i \(0.405692\pi\)
\(702\) −1.89975 + 18.0733i −0.0717014 + 0.682133i
\(703\) −11.9906 6.92275i −0.452232 0.261096i
\(704\) 6.90687 + 4.07925i 0.260312 + 0.153743i
\(705\) 7.23409 1.67428i 0.272452 0.0630572i
\(706\) 23.1817 6.17059i 0.872454 0.232233i
\(707\) −35.1062 16.3791i −1.32030 0.615999i
\(708\) 6.53409 + 28.6615i 0.245566 + 1.07717i
\(709\) −41.7153 + 24.0843i −1.56665 + 0.904505i −0.570093 + 0.821580i \(0.693093\pi\)
−0.996556 + 0.0829254i \(0.973574\pi\)
\(710\) 3.60211 13.3552i 0.135185 0.501212i
\(711\) 13.6897 6.69542i 0.513403 0.251098i
\(712\) −40.3528 11.0266i −1.51228 0.413238i
\(713\) −26.2452 −0.982891
\(714\) 19.6431 38.4274i 0.735124 1.43811i
\(715\) 4.43523i 0.165868i
\(716\) −13.0633 7.59958i −0.488197 0.284010i
\(717\) −6.39481 6.85009i −0.238819 0.255821i
\(718\) −28.7206 7.74640i −1.07184 0.289093i
\(719\) −6.49021 11.2414i −0.242044 0.419232i 0.719252 0.694749i \(-0.244484\pi\)
−0.961296 + 0.275517i \(0.911151\pi\)
\(720\) −9.30281 19.3428i −0.346695 0.720864i
\(721\) −21.3763 + 14.9613i −0.796094 + 0.557186i
\(722\) 7.06603 1.88086i 0.262970 0.0699985i
\(723\) −36.2468 + 8.38909i −1.34803 + 0.311994i
\(724\) 0.0329696 10.0047i 0.00122531 0.371822i
\(725\) 0.673858 1.16716i 0.0250264 0.0433471i
\(726\) 11.4696 + 21.6287i 0.425678 + 0.802716i
\(727\) 12.0095i 0.445406i 0.974886 + 0.222703i \(0.0714880\pi\)
−0.974886 + 0.222703i \(0.928512\pi\)
\(728\) 11.9685 14.1153i 0.443582 0.523146i
\(729\) −5.52704 + 26.4282i −0.204705 + 0.978824i
\(730\) 11.7230 + 11.7617i 0.433889 + 0.435321i
\(731\) 53.0370 + 30.6209i 1.96164 + 1.13256i
\(732\) −4.13754 + 13.4014i −0.152928 + 0.495330i
\(733\) 4.29808 + 7.44449i 0.158753 + 0.274968i 0.934419 0.356175i \(-0.115919\pi\)
−0.775666 + 0.631143i \(0.782586\pi\)
\(734\) 0.524538 + 1.97058i 0.0193610 + 0.0727355i
\(735\) −2.63998 + 21.5247i −0.0973770 + 0.793952i
\(736\) 43.1379 + 11.9405i 1.59008 + 0.440133i
\(737\) −6.91700 + 3.99353i −0.254791 + 0.147104i
\(738\) −6.44046 + 5.59233i −0.237076 + 0.205856i
\(739\) −2.25350 1.30106i −0.0828963 0.0478602i 0.457979 0.888963i \(-0.348574\pi\)
−0.540875 + 0.841103i \(0.681907\pi\)
\(740\) −11.5122 6.69723i −0.423195 0.246195i
\(741\) 15.2356 + 4.64891i 0.559695 + 0.170782i
\(742\) 44.6048 16.1413i 1.63749 0.592564i
\(743\) 13.4061i 0.491823i −0.969292 0.245911i \(-0.920913\pi\)
0.969292 0.245911i \(-0.0790872\pi\)
\(744\) −8.67146 + 13.7424i −0.317911 + 0.503821i
\(745\) −1.43281 0.827235i −0.0524942 0.0303075i
\(746\) −29.6981 8.01006i −1.08733 0.293269i
\(747\) 16.9237 + 1.16484i 0.619204 + 0.0426193i
\(748\) −11.5872 + 6.63904i −0.423669 + 0.242747i
\(749\) 10.5623 + 15.0912i 0.385939 + 0.551420i
\(750\) 1.07266 29.7766i 0.0391681 1.08729i
\(751\) −7.86182 13.6171i −0.286882 0.496894i 0.686182 0.727430i \(-0.259285\pi\)
−0.973064 + 0.230536i \(0.925952\pi\)
\(752\) 4.73879 + 8.33419i 0.172806 + 0.303917i
\(753\) 23.4679 + 25.1387i 0.855218 + 0.916105i
\(754\) 1.84776 + 1.85386i 0.0672915 + 0.0675136i
\(755\) 34.2244i 1.24555i
\(756\) 19.8141 19.0631i 0.720633 0.693317i
\(757\) 48.7626i 1.77231i 0.463391 + 0.886154i \(0.346633\pi\)
−0.463391 + 0.886154i \(0.653367\pi\)
\(758\) −1.82598 + 1.81997i −0.0663226 + 0.0661044i
\(759\) −9.37736 10.0450i −0.340377 0.364610i
\(760\) −18.1964 + 4.77942i −0.660051 + 0.173368i
\(761\) −21.7170 37.6149i −0.787240 1.36354i −0.927652 0.373447i \(-0.878176\pi\)
0.140411 0.990093i \(-0.455158\pi\)
\(762\) −11.0741 0.398931i −0.401174 0.0144518i
\(763\) −6.54411 3.05321i −0.236913 0.110534i
\(764\) −12.0426 21.0180i −0.435684 0.760403i
\(765\) 35.6486 + 2.45366i 1.28888 + 0.0887123i
\(766\) −3.54332 + 13.1372i −0.128025 + 0.474667i
\(767\) −18.1747 10.4932i −0.656252 0.378887i
\(768\) 20.5051 18.6425i 0.739912 0.672703i
\(769\) 23.9226i 0.862670i −0.902192 0.431335i \(-0.858043\pi\)
0.902192 0.431335i \(-0.141957\pi\)
\(770\) 4.32293 5.13252i 0.155788 0.184963i
\(771\) 14.4663 + 4.41417i 0.520993 + 0.158972i
\(772\) 2.04835 + 1.19163i 0.0737216 + 0.0428877i