Properties

Label 168.2.ba.c.5.7
Level $168$
Weight $2$
Character 168.5
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 5.7
Character \(\chi\) \(=\) 168.5
Dual form 168.2.ba.c.101.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.998351 + 1.00165i) q^{2} +(0.390548 + 1.68745i) q^{3} +(-0.00659077 - 1.99999i) q^{4} +(1.54900 + 0.894317i) q^{5} +(-2.08013 - 1.29347i) q^{6} +(2.63573 + 0.230049i) q^{7} +(2.00986 + 1.99009i) q^{8} +(-2.69494 + 1.31806i) q^{9} +O(q^{10})\) \(q+(-0.998351 + 1.00165i) q^{2} +(0.390548 + 1.68745i) q^{3} +(-0.00659077 - 1.99999i) q^{4} +(1.54900 + 0.894317i) q^{5} +(-2.08013 - 1.29347i) q^{6} +(2.63573 + 0.230049i) q^{7} +(2.00986 + 1.99009i) q^{8} +(-2.69494 + 1.31806i) q^{9} +(-2.44224 + 0.658710i) q^{10} +(0.501346 + 0.868358i) q^{11} +(3.37230 - 0.792214i) 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} +(1.37027 - 4.01527i) q^{18} +(-1.85941 + 3.22059i) q^{19} +(1.77842 - 3.10388i) q^{20} +(0.641185 + 4.53750i) q^{21} +(-1.37031 - 0.364754i) q^{22} +(6.85244 + 3.95626i) q^{23} +(-2.57322 + 4.16876i) 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} +(-2.06535 - 3.86388i) q^{30} +(2.87254 - 1.65846i) q^{31} +(3.96691 - 4.03282i) q^{32} +(-1.26951 + 1.18513i) q^{33} +(9.10071 + 2.42246i) q^{34} +(3.87702 + 2.71353i) q^{35} +(2.65386 + 5.38117i) q^{36} +(3.22429 + 1.86155i) q^{37} +(-1.36955 - 5.07775i) q^{38} +(-0.965832 - 4.17308i) q^{39} +(1.33351 + 4.88011i) q^{40} +2.01044 q^{41} +(-5.18509 - 3.88777i) q^{42} -9.19651i q^{43} +(1.73340 - 1.00841i) q^{44} +(-5.35324 - 0.368459i) q^{45} +(-10.8039 + 2.91399i) q^{46} +(1.19840 - 2.07569i) q^{47} +(-1.60665 - 6.73934i) q^{48} +(6.89415 + 1.21270i) q^{49} +(2.46101 + 0.655080i) q^{50} +(8.43126 - 7.87089i) q^{51} +(0.0162991 + 4.94601i) q^{52} +(-6.33884 - 10.9792i) q^{53} +(7.31070 + 0.744103i) 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} +(5.93219 + 1.78876i) q^{60} +(2.02442 - 3.50640i) q^{61} +(-1.20661 + 4.53300i) q^{62} +(-7.40637 + 2.85408i) q^{63} +(0.0790881 + 7.99961i) q^{64} +(-3.83071 - 2.21166i) q^{65} +(0.0803309 - 2.45477i) 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} +(-8.03952 - 2.71406i) q^{72} +(-5.68546 + 3.28250i) q^{73} +(-5.08359 + 1.37113i) q^{74} +(2.27997 - 2.12844i) q^{75} +(6.45340 + 3.69757i) q^{76} +(1.12165 + 2.40409i) q^{77} +(5.14419 + 3.19878i) q^{78} +(2.53988 - 4.39920i) q^{79} +(-6.21945 - 3.53635i) q^{80} +(5.52545 - 7.10419i) q^{81} +(-2.00712 + 2.01375i) q^{82} +5.65457i q^{83} +(9.07072 - 1.31227i) q^{84} -11.9110i q^{85} +(9.21165 + 9.18134i) q^{86} +(0.292288 + 1.26289i) q^{87} +(-0.720472 + 2.74300i) q^{88} +(-7.39495 + 12.8084i) q^{89} +(5.71347 - 4.99420i) q^{90} +(-6.51821 - 0.568916i) q^{91} +(7.86731 - 13.7309i) q^{92} +(3.92043 + 4.19955i) q^{93} +(0.882685 + 3.27265i) q^{94} +(-5.76045 + 3.32580i) q^{95} +(8.35443 + 5.11893i) 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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\) \(1\)

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
\(3\) 0.390548 + 1.68745i 0.225483 + 0.974247i
\(4\) −0.00659077 1.99999i −0.00329539 0.999995i
\(5\) 1.54900 + 0.894317i 0.692735 + 0.399951i 0.804636 0.593769i \(-0.202361\pi\)
−0.111901 + 0.993719i \(0.535694\pi\)
\(6\) −2.08013 1.29347i −0.849209 0.528057i
\(7\) 2.63573 + 0.230049i 0.996213 + 0.0869505i
\(8\) 2.00986 + 1.99009i 0.710593 + 0.703603i
\(9\) −2.69494 + 1.31806i −0.898315 + 0.439353i
\(10\) −2.44224 + 0.658710i −0.772303 + 0.208303i
\(11\) 0.501346 + 0.868358i 0.151162 + 0.261820i 0.931655 0.363345i \(-0.118365\pi\)
−0.780493 + 0.625164i \(0.785032\pi\)
\(12\) 3.37230 0.792214i 0.973499 0.228693i
\(13\) −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 −0.914554 0.404464i \(-0.867458\pi\)
0.107001 0.994259i \(-0.465875\pi\)
\(18\) 1.37027 4.01527i 0.322976 0.946407i
\(19\) −1.85941 + 3.22059i −0.426577 + 0.738854i −0.996566 0.0827988i \(-0.973614\pi\)
0.569989 + 0.821652i \(0.306947\pi\)
\(20\) 1.77842 3.10388i 0.397666 0.694049i
\(21\) 0.641185 + 4.53750i 0.139918 + 0.990163i
\(22\) −1.37031 0.364754i −0.292150 0.0777658i
\(23\) 6.85244 + 3.95626i 1.42883 + 0.824936i 0.997029 0.0770314i \(-0.0245442\pi\)
0.431803 + 0.901968i \(0.357877\pi\)
\(24\) −2.57322 + 4.16876i −0.525256 + 0.850944i
\(25\) −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 \(-0.477864\pi\)
0.0694875 + 0.997583i \(0.477864\pi\)
\(30\) −2.06535 3.86388i −0.377080 0.705446i
\(31\) 2.87254 1.65846i 0.515924 0.297869i −0.219341 0.975648i \(-0.570391\pi\)
0.735265 + 0.677779i \(0.237058\pi\)
\(32\) 3.96691 4.03282i 0.701257 0.712908i
\(33\) −1.26951 + 1.18513i −0.220993 + 0.206305i
\(34\) 9.10071 + 2.42246i 1.56076 + 0.415449i
\(35\) 3.87702 + 2.71353i 0.655335 + 0.458670i
\(36\) 2.65386 + 5.38117i 0.442311 + 0.896862i
\(37\) 3.22429 + 1.86155i 0.530071 + 0.306036i 0.741045 0.671455i \(-0.234330\pi\)
−0.210975 + 0.977492i \(0.567664\pi\)
\(38\) −1.36955 5.07775i −0.222170 0.823719i
\(39\) −0.965832 4.17308i −0.154657 0.668228i
\(40\) 1.33351 + 4.88011i 0.210846 + 0.771613i
\(41\) 2.01044 0.313978 0.156989 0.987600i \(-0.449821\pi\)
0.156989 + 0.987600i \(0.449821\pi\)
\(42\) −5.18509 3.88777i −0.800078 0.599897i
\(43\) 9.19651i 1.40245i −0.712938 0.701227i \(-0.752636\pi\)
0.712938 0.701227i \(-0.247364\pi\)
\(44\) 1.73340 1.00841i 0.261320 0.152024i
\(45\) −5.35324 0.368459i −0.798013 0.0549266i
\(46\) −10.8039 + 2.91399i −1.59295 + 0.429644i
\(47\) 1.19840 2.07569i 0.174805 0.302771i −0.765289 0.643687i \(-0.777404\pi\)
0.940094 + 0.340916i \(0.110737\pi\)
\(48\) −1.60665 6.73934i −0.231899 0.972740i
\(49\) 6.89415 + 1.21270i 0.984879 + 0.173242i
\(50\) 2.46101 + 0.655080i 0.348039 + 0.0926423i
\(51\) 8.43126 7.87089i 1.18061 1.10214i
\(52\) 0.0162991 + 4.94601i 0.00226028 + 0.685888i
\(53\) −6.33884 10.9792i −0.870707 1.50811i −0.861267 0.508153i \(-0.830329\pi\)
−0.00943963 0.999955i \(-0.503005\pi\)
\(54\) 7.31070 + 0.744103i 0.994860 + 0.101260i
\(55\) 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 \(-0.852955\pi\)
−0.0616046 + 0.998101i \(0.519622\pi\)
\(60\) 5.93219 + 1.78876i 0.765842 + 0.230928i
\(61\) 2.02442 3.50640i 0.259200 0.448948i −0.706828 0.707386i \(-0.749874\pi\)
0.966028 + 0.258438i \(0.0832077\pi\)
\(62\) −1.20661 + 4.53300i −0.153240 + 0.575692i
\(63\) −7.40637 + 2.85408i −0.933114 + 0.359580i
\(64\) 0.0790881 + 7.99961i 0.00988602 + 0.999951i
\(65\) −3.83071 2.21166i −0.475141 0.274323i
\(66\) 0.0803309 2.45477i 0.00988805 0.302162i
\(67\) 6.89843 3.98281i 0.842777 0.486577i −0.0154303 0.999881i \(-0.504912\pi\)
0.858207 + 0.513303i \(0.171578\pi\)
\(68\) −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 \(0.894807\pi\)
\(72\) −8.03952 2.71406i −0.947466 0.319856i
\(73\) −5.68546 + 3.28250i −0.665433 + 0.384188i −0.794344 0.607468i \(-0.792185\pi\)
0.128911 + 0.991656i \(0.458852\pi\)
\(74\) −5.08359 + 1.37113i −0.590955 + 0.159390i
\(75\) 2.27997 2.12844i 0.263268 0.245771i
\(76\) 6.45340 + 3.69757i 0.740255 + 0.424140i
\(77\) 1.12165 + 2.40409i 0.127824 + 0.273972i
\(78\) 5.14419 + 3.19878i 0.582465 + 0.362190i
\(79\) 2.53988 4.39920i 0.285759 0.494949i −0.687034 0.726625i \(-0.741088\pi\)
0.972793 + 0.231676i \(0.0744210\pi\)
\(80\) −6.21945 3.53635i −0.695356 0.395376i
\(81\) 5.52545 7.10419i 0.613938 0.789354i
\(82\) −2.00712 + 2.01375i −0.221650 + 0.222381i
\(83\) 5.65457i 0.620669i 0.950627 + 0.310335i \(0.100441\pi\)
−0.950627 + 0.310335i \(0.899559\pi\)
\(84\) 9.07072 1.31227i 0.989697 0.143180i
\(85\) 11.9110i 1.29193i
\(86\) 9.21165 + 9.18134i 0.993317 + 0.990049i
\(87\) 0.292288 + 1.26289i 0.0313365 + 0.135396i
\(88\) −0.720472 + 2.74300i −0.0768026 + 0.292405i
\(89\) −7.39495 + 12.8084i −0.783863 + 1.35769i 0.145812 + 0.989312i \(0.453420\pi\)
−0.929676 + 0.368379i \(0.879913\pi\)
\(90\) 5.71347 4.99420i 0.602253 0.526435i
\(91\) −6.51821 0.568916i −0.683294 0.0596386i
\(92\) 7.86731 13.7309i 0.820223 1.43154i
\(93\) 3.92043 + 4.19955i 0.406530 + 0.435473i
\(94\) 0.882685 + 3.27265i 0.0910420 + 0.337548i
\(95\) −5.76045 + 3.32580i −0.591010 + 0.341220i
\(96\) 8.35443 + 5.11893i 0.852670 + 0.522449i
\(97\) 1.75577i 0.178271i 0.996019 + 0.0891356i \(0.0284105\pi\)
−0.996019 + 0.0891356i \(0.971590\pi\)
\(98\) −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 \(-0.406900\pi\)
0.973411 + 0.229064i \(0.0735667\pi\)
\(102\) −0.533507 + 16.3030i −0.0528251 + 1.61424i
\(103\) −8.54056 4.93089i −0.841526 0.485855i 0.0162566 0.999868i \(-0.494825\pi\)
−0.857783 + 0.514013i \(0.828158\pi\)
\(104\) −4.97042 4.92152i −0.487390 0.482595i
\(105\) −3.06476 + 7.60202i −0.299090 + 0.741881i
\(106\) 17.3257 + 4.61181i 1.68282 + 0.447939i
\(107\) −3.48110 + 6.02945i −0.336531 + 0.582889i −0.983778 0.179392i \(-0.942587\pi\)
0.647247 + 0.762281i \(0.275920\pi\)
\(108\) −8.04397 + 6.57986i −0.774031 + 0.633147i
\(109\) −2.36373 + 1.36470i −0.226404 + 0.130715i −0.608912 0.793238i \(-0.708394\pi\)
0.382508 + 0.923952i \(0.375061\pi\)
\(110\) −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 \(-0.00795328\pi\)
\(114\) 8.03354 4.29414i 0.752410 0.402183i
\(115\) 7.07629 + 12.2565i 0.659868 + 1.14292i
\(116\) −0.00493255 1.49680i −0.000457976 0.138974i
\(117\) 6.66464 3.25958i 0.616146 0.301348i
\(118\) 3.08704 11.5974i 0.284185 1.06763i
\(119\) −7.44929 15.9665i −0.682875 1.46364i
\(120\) −7.71411 + 4.15614i −0.704199 + 0.379402i
\(121\) 4.99730 8.65558i 0.454300 0.786871i
\(122\) 1.49109 + 5.52837i 0.134997 + 0.500515i
\(123\) 0.785174 + 3.39251i 0.0707967 + 0.305892i
\(124\) −3.33584 5.73412i −0.299567 0.514940i
\(125\) 12.1641i 1.08799i
\(126\) 4.53538 10.2679i 0.404043 0.914740i
\(127\) −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
\(129\) 15.5186 3.59168i 1.36634 0.316230i
\(130\) 6.03969 1.62900i 0.529716 0.142873i
\(131\) −13.3927 7.73228i −1.17013 0.675573i −0.216416 0.976301i \(-0.569437\pi\)
−0.953710 + 0.300729i \(0.902770\pi\)
\(132\) 2.37862 + 2.53119i 0.207032 + 0.220312i
\(133\) −5.64179 + 8.06085i −0.489205 + 0.698964i
\(134\) −2.89768 + 10.8860i −0.250322 + 0.940409i
\(135\) −1.46894 9.17720i −0.126427 0.789847i
\(136\) 4.78492 18.2173i 0.410304 1.56212i
\(137\) 9.71195 5.60719i 0.829748 0.479055i −0.0240187 0.999712i \(-0.507646\pi\)
0.853766 + 0.520657i \(0.174313\pi\)
\(138\) −9.13664 17.0929i −0.777762 1.45505i
\(139\) −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
\(144\) 10.7448 5.34316i 0.895399 0.445264i
\(145\) 1.15928 + 0.669310i 0.0962728 + 0.0555831i
\(146\) 2.38818 8.97191i 0.197647 0.742520i
\(147\) 0.646141 + 12.1071i 0.0532928 + 0.998579i
\(148\) 3.70182 6.46082i 0.304288 0.531076i
\(149\) −0.462495 + 0.801066i −0.0378891 + 0.0656258i −0.884348 0.466828i \(-0.845397\pi\)
0.846459 + 0.532454i \(0.178730\pi\)
\(150\) −0.144270 + 4.40865i −0.0117796 + 0.359965i
\(151\) 9.56720 + 16.5709i 0.778568 + 1.34852i 0.932767 + 0.360479i \(0.117387\pi\)
−0.154200 + 0.988040i \(0.549280\pi\)
\(152\) −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
\(156\) −8.33975 + 1.95916i −0.667714 + 0.156858i
\(157\) 5.46873 + 9.47212i 0.436452 + 0.755957i 0.997413 0.0718851i \(-0.0229015\pi\)
−0.560961 + 0.827842i \(0.689568\pi\)
\(158\) 1.87075 + 6.93601i 0.148829 + 0.551800i
\(159\) 16.0512 14.9844i 1.27294 1.18834i
\(160\) 9.75137 2.69917i 0.770914 0.213388i
\(161\) 17.1510 + 12.0040i 1.35169 + 0.946050i
\(162\) 1.59955 + 12.6270i 0.125672 + 0.992072i
\(163\) 9.21188 + 5.31848i 0.721530 + 0.416576i 0.815316 0.579017i \(-0.196563\pi\)
−0.0937855 + 0.995592i \(0.529897\pi\)
\(164\) −0.0132504 4.02086i −0.00103468 0.313976i
\(165\) −3.02635 + 0.700429i −0.235601 + 0.0545283i
\(166\) −5.66388 5.64524i −0.439602 0.438156i
\(167\) −7.93040 −0.613673 −0.306836 0.951762i \(-0.599270\pi\)
−0.306836 + 0.951762i \(0.599270\pi\)
\(168\) −7.74133 + 10.3958i −0.597257 + 0.802050i
\(169\) −6.88419 −0.529553
\(170\) 11.9306 + 11.8913i 0.915034 + 0.912023i
\(171\) 0.766076 11.1301i 0.0585833 0.851141i
\(172\) −18.3929 + 0.0606121i −1.40245 + 0.00462163i
\(173\) 3.69882 + 2.13552i 0.281216 + 0.162360i 0.633974 0.773354i \(-0.281423\pi\)
−0.352758 + 0.935715i \(0.614756\pi\)
\(174\) −1.55677 0.968038i −0.118019 0.0733868i
\(175\) −2.01443 4.31763i −0.152276 0.326382i
\(176\) −2.02823 3.46014i −0.152884 0.260818i
\(177\) −10.0302 10.7443i −0.753915 0.807590i
\(178\) −5.44676 20.1944i −0.408252 1.51364i
\(179\) 3.77825 + 6.54412i 0.282399 + 0.489130i 0.971975 0.235083i \(-0.0755363\pi\)
−0.689576 + 0.724214i \(0.742203\pi\)
\(180\) −0.701632 + 10.7088i −0.0522965 + 0.798190i
\(181\) −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
\(186\) −8.12043 0.265736i −0.595419 0.0194847i
\(187\) 3.33859 5.78261i 0.244142 0.422867i
\(188\) −4.15927 2.38311i −0.303346 0.173806i
\(189\) −7.70864 11.3832i −0.560721 0.828005i
\(190\) 2.41968 9.09025i 0.175542 0.659476i
\(191\) 10.4891 + 6.05587i 0.758963 + 0.438188i 0.828923 0.559362i \(-0.188954\pi\)
−0.0699601 + 0.997550i \(0.522287\pi\)
\(192\) −13.4680 + 3.25769i −0.971970 + 0.235104i
\(193\) 0.592437 + 1.02613i 0.0426445 + 0.0738625i 0.886560 0.462614i \(-0.153088\pi\)
−0.843915 + 0.536476i \(0.819755\pi\)
\(194\) −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 \(-0.744620\pi\)
−0.695054 + 0.718957i \(0.744620\pi\)
\(198\) 4.17367 0.823153i 0.296610 0.0584990i
\(199\) −12.7632 + 7.36884i −0.904760 + 0.522363i −0.878741 0.477298i \(-0.841616\pi\)
−0.0260186 + 0.999661i \(0.508283\pi\)
\(200\) 1.29393 4.92630i 0.0914949 0.348342i
\(201\) 9.41494 + 10.0852i 0.664079 + 0.711358i
\(202\) −5.32638 + 20.0101i −0.374763 + 1.40791i
\(203\) 1.97259 + 0.172170i 0.138449 + 0.0120839i
\(204\) −15.7973 16.8105i −1.10603 1.17697i
\(205\) 3.11418 + 1.79797i 0.217503 + 0.125576i
\(206\) 13.4655 3.63186i 0.938185 0.253043i
\(207\) −23.6815 1.62998i −1.64598 0.113291i
\(208\) 9.89185 0.0651960i 0.685876 0.00452053i
\(209\) −3.72883 −0.257929
\(210\) −4.55482 10.6593i −0.314313 0.735561i
\(211\) 14.9240i 1.02741i 0.857967 + 0.513704i \(0.171727\pi\)
−0.857967 + 0.513704i \(0.828273\pi\)
\(212\) −21.9165 + 12.7500i −1.50523 + 0.875672i
\(213\) −9.22768 + 2.13569i −0.632270 + 0.146335i
\(214\) −2.56401 9.50634i −0.175272 0.649840i
\(215\) 8.22459 14.2454i 0.560913 0.971529i
\(216\) 1.44002 14.6262i 0.0979807 0.995188i
\(217\) 7.95278 3.71044i 0.539870 0.251881i
\(218\) 0.992886 3.73007i 0.0672467 0.252633i
\(219\) −7.75949 8.31193i −0.524338 0.561668i
\(220\) 3.58688 0.0118202i 0.241828 0.000796920i
\(221\) 8.23422 + 14.2621i 0.553894 + 0.959372i
\(222\) −4.29909 8.04279i −0.288536 0.539797i
\(223\) 7.62187i 0.510398i 0.966889 + 0.255199i \(0.0821410\pi\)
−0.966889 + 0.255199i \(0.917859\pi\)
\(224\) 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 \(-0.491409\pi\)
0.879203 + 0.476446i \(0.158075\pi\)
\(228\) −3.71908 + 12.3338i −0.246302 + 0.816828i
\(229\) −8.82193 + 15.2800i −0.582970 + 1.00973i 0.412155 + 0.911114i \(0.364776\pi\)
−0.995125 + 0.0986198i \(0.968557\pi\)
\(230\) −19.3413 5.14835i −1.27533 0.339472i
\(231\) −3.61871 + 2.83164i −0.238094 + 0.186308i
\(232\) 1.50419 + 1.48939i 0.0987547 + 0.0977832i
\(233\) −15.7079 9.06896i −1.02906 0.594127i −0.112344 0.993669i \(-0.535836\pi\)
−0.916715 + 0.399542i \(0.869169\pi\)
\(234\) −3.38870 + 9.92982i −0.221527 + 0.649132i
\(235\) 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 \(-0.0559877\pi\)
\(240\) 3.53841 11.8761i 0.228403 0.766599i
\(241\) −18.6025 + 10.7401i −1.19829 + 0.691834i −0.960174 0.279403i \(-0.909863\pi\)
−0.238117 + 0.971236i \(0.576530\pi\)
\(242\) 3.68077 + 13.6468i 0.236609 + 0.877252i
\(243\) 14.1459 + 6.54936i 0.907459 + 0.420142i
\(244\) −7.02610 4.02571i −0.449800 0.257719i
\(245\) 9.59453 + 8.04403i 0.612972 + 0.513914i
\(246\) −4.18197 2.60045i −0.266633 0.165798i
\(247\) 4.59834 7.96457i 0.292586 0.506773i
\(248\) 9.07391 + 2.38334i 0.576194 + 0.151342i
\(249\) −9.54177 + 2.20838i −0.604685 + 0.139951i
\(250\) 12.1841 + 12.1441i 0.770593 + 0.768058i
\(251\) 19.8553i 1.25325i 0.779319 + 0.626627i \(0.215565\pi\)
−0.779319 + 0.626627i \(0.784435\pi\)
\(252\) 5.75694 + 14.7938i 0.362653 + 0.931924i
\(253\) 7.93382i 0.498795i
\(254\) 4.51647 4.53138i 0.283389 0.284324i
\(255\) 20.0991 4.65181i 1.25865 0.291308i
\(256\) 15.9986 0.210899i 0.999913 0.0131812i
\(257\) −4.36616 + 7.56240i −0.272353 + 0.471730i −0.969464 0.245234i \(-0.921135\pi\)
0.697111 + 0.716964i \(0.254469\pi\)
\(258\) −11.8954 + 19.1299i −0.740576 + 1.19098i
\(259\) 8.07012 + 5.64828i 0.501453 + 0.350967i
\(260\) −4.39805 + 7.67595i −0.272755 + 0.476042i
\(261\) −2.01690 + 0.986439i −0.124843 + 0.0610590i
\(262\) 21.1156 5.69522i 1.30453 0.351852i
\(263\) −17.1429 + 9.89747i −1.05708 + 0.610304i −0.924623 0.380885i \(-0.875619\pi\)
−0.132455 + 0.991189i \(0.542286\pi\)
\(264\) −4.91005 0.144482i −0.302193 0.00889226i
\(265\) 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 \(-0.675694\pi\)
0.475241 + 0.879856i \(0.342361\pi\)
\(270\) 10.6588 + 7.69070i 0.648675 + 0.468041i
\(271\) −7.45646 4.30499i −0.452948 0.261509i 0.256127 0.966643i \(-0.417554\pi\)
−0.709074 + 0.705134i \(0.750887\pi\)
\(272\) 13.4703 + 22.9801i 0.816754 + 1.39337i
\(273\) −1.58566 11.2213i −0.0959685 0.679144i
\(274\) −4.07950 + 15.3259i −0.246452 + 0.925870i
\(275\) 0.902819 1.56373i 0.0544420 0.0942964i
\(276\) 26.2427 + 7.91308i 1.57962 + 0.476311i
\(277\) 25.5583 14.7561i 1.53565 0.886607i 0.536562 0.843861i \(-0.319723\pi\)
0.999086 0.0427456i \(-0.0136105\pi\)
\(278\) 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 \(-0.219454\pi\)
\(282\) −5.17768 + 2.76761i −0.308327 + 0.164809i
\(283\) −10.4247 18.0561i −0.619684 1.07332i −0.989543 0.144236i \(-0.953928\pi\)
0.369860 0.929088i \(-0.379406\pi\)
\(284\) 10.9368 0.0360412i 0.648980 0.00213865i
\(285\) −7.86184 8.42156i −0.465695 0.498850i
\(286\) 3.38879 + 0.902042i 0.200383 + 0.0533389i
\(287\) 5.29898 + 0.462500i 0.312789 + 0.0273005i
\(288\) −5.37511 + 16.0968i −0.316732 + 0.948515i
\(289\) −13.6728 + 23.6820i −0.804284 + 1.39306i
\(290\) −1.82778 + 0.492981i −0.107331 + 0.0289488i
\(291\) −2.96276 + 0.685712i −0.173680 + 0.0401972i
\(292\) 6.60244 + 11.3492i 0.386378 + 0.664163i
\(293\) 13.1058i 0.765652i −0.923821 0.382826i \(-0.874951\pi\)
0.923821 0.382826i \(-0.125049\pi\)
\(294\) −12.7721 11.4400i −0.744886 0.667192i
\(295\) −15.1786 −0.883733
\(296\) 2.77574 + 10.1581i 0.161337 + 0.590427i
\(297\) 1.85918 4.86714i 0.107880 0.282420i
\(298\) −0.340652 1.26300i −0.0197334 0.0731637i
\(299\) −16.9462 9.78389i −0.980023 0.565817i
\(300\) −4.27188 4.54589i −0.246637 0.262457i
\(301\) 2.11565 24.2395i 0.121944 1.39714i
\(302\) −26.1496 6.96060i −1.50474 0.400537i
\(303\) 17.3061 + 18.5382i 0.994208 + 1.06499i
\(304\) 7.35256 12.9311i 0.421698 0.741649i
\(305\) 6.27166 3.62094i 0.359114 0.207335i
\(306\) −27.7189 + 5.46686i −1.58458 + 0.312520i
\(307\) 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 0.997231 + 0.0743677i \(0.0236939\pi\)
−0.434211 + 0.900811i \(0.642973\pi\)
\(312\) 6.36361 10.3094i 0.360269 0.583655i
\(313\) 2.33108 + 1.34585i 0.131760 + 0.0760718i 0.564431 0.825480i \(-0.309096\pi\)
−0.432671 + 0.901552i \(0.642429\pi\)
\(314\) −14.9474 3.97876i −0.843532 0.224535i
\(315\) −14.0249 2.20267i −0.790215 0.124106i
\(316\) −8.81510 5.05074i −0.495888 0.284126i
\(317\) −5.35288 + 9.27147i −0.300648 + 0.520737i −0.976283 0.216499i \(-0.930536\pi\)
0.675635 + 0.737236i \(0.263870\pi\)
\(318\) −1.01567 + 31.0372i −0.0569562 + 1.74048i
\(319\) 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
\(324\) −14.2447 11.0040i −0.791373 0.611334i
\(325\) 2.22669 + 3.85674i 0.123514 + 0.213933i
\(326\) −14.5239 + 3.91733i −0.804406 + 0.216961i
\(327\) −3.22601 3.45569i −0.178399 0.191100i
\(328\) 4.04071 + 4.00095i 0.223111 + 0.220916i
\(329\) 3.63618 5.19528i 0.200469 0.286425i
\(330\) 2.31978 3.73061i 0.127700 0.205363i
\(331\) −18.8525 10.8845i −1.03623 0.598266i −0.117465 0.993077i \(-0.537477\pi\)
−0.918762 + 0.394811i \(0.870810\pi\)
\(332\) 11.3091 0.0372680i 0.620666 0.00204535i
\(333\) −11.1429 0.766958i −0.610628 0.0420290i
\(334\) 7.91732 7.94346i 0.433217 0.434647i
\(335\) 14.2476 0.778428
\(336\) −2.68430 18.1327i −0.146441 0.989219i
\(337\) −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
\(339\) 0.896293 0.207441i 0.0486799 0.0112667i
\(340\) −23.8218 + 0.0785025i −1.29192 + 0.00425740i
\(341\) 2.88028 + 1.66293i 0.155976 + 0.0900527i
\(342\) 10.3836 + 11.8791i 0.561482 + 0.642348i
\(343\) 17.8922 + 4.78234i 0.966086 + 0.258222i
\(344\) 18.3019 18.4837i 0.986771 0.996575i
\(345\) −17.9185 + 16.7276i −0.964702 + 0.900585i
\(346\) −5.83175 + 1.57292i −0.313517 + 0.0845606i
\(347\) −9.94032 17.2171i −0.533624 0.924265i −0.999229 0.0392715i \(-0.987496\pi\)
0.465604 0.884993i \(-0.345837\pi\)
\(348\) 2.52384 0.592895i 0.135292 0.0317825i
\(349\) −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 \(-0.315748\pi\)
−0.998474 + 0.0552182i \(0.982415\pi\)
\(354\) 20.7756 + 0.679869i 1.10421 + 0.0361346i
\(355\) −4.89051 + 8.47062i −0.259561 + 0.449574i
\(356\) 25.6655 + 14.7054i 1.36027 + 0.779385i
\(357\) 24.0332 18.8059i 1.27197 0.995316i
\(358\) −10.3269 2.74886i −0.545794 0.145282i
\(359\) 18.2162 + 10.5171i 0.961413 + 0.555072i 0.896608 0.442826i \(-0.146024\pi\)
0.0648056 + 0.997898i \(0.479357\pi\)
\(360\) −10.0260 11.3940i −0.528417 0.600515i
\(361\) 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
\(366\) −8.74647 + 4.67522i −0.457185 + 0.244378i
\(367\) 1.24875 0.720966i 0.0651842 0.0376341i −0.467054 0.884229i \(-0.654685\pi\)
0.532238 + 0.846595i \(0.321351\pi\)
\(368\) −27.5135 15.6440i −1.43424 0.815501i
\(369\) −5.41802 + 2.64988i −0.282051 + 0.137947i
\(370\) −9.10071 2.42246i −0.473124 0.125938i
\(371\) −14.1817 30.3964i −0.736278 1.57810i
\(372\) 8.37321 7.86850i 0.434131 0.407963i
\(373\) −18.8362 10.8751i −0.975302 0.563091i −0.0744535 0.997224i \(-0.523721\pi\)
−0.900848 + 0.434134i \(0.857055\pi\)
\(374\) 2.45905 + 9.11717i 0.127154 + 0.471438i
\(375\) 20.5263 4.75068i 1.05997 0.245324i
\(376\) 6.53944 1.78693i 0.337246 0.0921539i
\(377\) −1.85081 −0.0953217
\(378\) 19.0979 + 3.64308i 0.982288 + 0.187380i
\(379\) 1.82298i 0.0936402i −0.998903 0.0468201i \(-0.985091\pi\)
0.998903 0.0468201i \(-0.0149087\pi\)
\(380\) 6.68953 + 11.4989i 0.343166 + 0.589882i
\(381\) −1.76681 7.63389i −0.0905167 0.391096i
\(382\) −16.5376 + 4.46046i −0.846139 + 0.228217i
\(383\) −4.81069 + 8.33236i −0.245815 + 0.425763i −0.962360 0.271777i \(-0.912389\pi\)
0.716546 + 0.697540i \(0.245722\pi\)
\(384\) 10.1828 16.7425i 0.519636 0.854388i
\(385\) −0.412582 + 4.72705i −0.0210271 + 0.240913i
\(386\) −1.61928 0.431026i −0.0824192 0.0219387i
\(387\) 12.1215 + 24.7841i 0.616172 + 1.25984i
\(388\) 3.51152 0.0115719i 0.178270 0.000587473i
\(389\) 14.0629 + 24.3576i 0.713017 + 1.23498i 0.963719 + 0.266917i \(0.0860050\pi\)
−0.250703 + 0.968064i \(0.580662\pi\)
\(390\) 5.10764 + 9.55545i 0.258636 + 0.483859i
\(391\) 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
\(396\) −3.34228 + 5.00233i −0.167956 + 0.251377i
\(397\) 9.42646 16.3271i 0.473101 0.819434i −0.526425 0.850221i \(-0.676468\pi\)
0.999526 + 0.0307871i \(0.00980139\pi\)
\(398\) 5.36119 20.1409i 0.268732 1.00957i
\(399\) −15.8056 6.37206i −0.791271 0.319002i
\(400\) 3.64261 + 6.21424i 0.182131 + 0.310712i
\(401\) −5.22718 3.01791i −0.261033 0.150707i 0.363773 0.931488i \(-0.381488\pi\)
−0.624806 + 0.780780i \(0.714822\pi\)
\(402\) −19.5013 0.638166i −0.972634 0.0318288i
\(403\) −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
\(408\) 32.6094 + 0.959559i 1.61441 + 0.0475052i
\(409\) 22.6629 13.0844i 1.12061 0.646984i 0.179052 0.983840i \(-0.442697\pi\)
0.941556 + 0.336856i \(0.109364\pi\)
\(410\) −4.90997 + 1.32430i −0.242486 + 0.0654024i
\(411\) 13.2548 + 14.1985i 0.653812 + 0.700360i
\(412\) −9.80544 + 17.1135i −0.483080 + 0.843123i
\(413\) −20.3467 + 9.49292i −1.00120 + 0.467116i
\(414\) 25.2751 22.0932i 1.24220 1.08582i
\(415\) −5.05698 + 8.75894i −0.248237 + 0.429959i
\(416\) −9.81023 + 9.97322i −0.480986 + 0.488978i
\(417\) −7.02301 30.3444i −0.343918 1.48597i
\(418\) 3.72268 3.73497i 0.182082 0.182683i
\(419\) 2.51866i 0.123045i −0.998106 0.0615223i \(-0.980404\pi\)
0.998106 0.0615223i \(-0.0195955\pi\)
\(420\) 15.2242 + 6.07939i 0.742863 + 0.296644i
\(421\) 33.4873i 1.63207i 0.578003 + 0.816034i \(0.303832\pi\)
−0.578003 + 0.816034i \(0.696168\pi\)
\(422\) −14.9485 14.8994i −0.727684 0.725289i
\(423\) −0.493742 + 7.17345i −0.0240066 + 0.348785i
\(424\) 9.10938 34.6815i 0.442391 1.68428i
\(425\) −5.99595 + 10.3853i −0.290846 + 0.503761i
\(426\) 7.07326 11.3750i 0.342701 0.551123i
\(427\) 6.14247 8.77620i 0.297255 0.424710i
\(428\) 12.0818 + 6.92243i 0.583995 + 0.334608i
\(429\) 3.13951 2.93085i 0.151577 0.141503i
\(430\) 6.05783 + 22.4601i 0.292135 + 1.08312i
\(431\) −12.0003 + 6.92836i −0.578033 + 0.333727i −0.760351 0.649512i \(-0.774973\pi\)
0.182319 + 0.983240i \(0.441640\pi\)
\(432\) 13.2127 + 16.0445i 0.635694 + 0.771941i
\(433\) 9.79368i 0.470654i 0.971916 + 0.235327i \(0.0756161\pi\)
−0.971916 + 0.235327i \(0.924384\pi\)
\(434\) −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
\(438\) 16.0723 + 0.525956i 0.767964 + 0.0251312i
\(439\) 6.99463 + 4.03835i 0.333835 + 0.192740i 0.657543 0.753417i \(-0.271596\pi\)
−0.323707 + 0.946157i \(0.604929\pi\)
\(440\) −3.56913 + 3.60459i −0.170151 + 0.171842i
\(441\) −20.1778 + 5.81875i −0.960846 + 0.277083i
\(442\) −22.5062 5.99079i −1.07051 0.284953i
\(443\) 8.84884 15.3266i 0.420421 0.728191i −0.575559 0.817760i \(-0.695216\pi\)
0.995981 + 0.0895692i \(0.0285490\pi\)
\(444\) 12.3480 + 3.72336i 0.586011 + 0.176703i
\(445\) −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 \(0.848099\pi\)
\(450\) −7.49570 + 1.47834i −0.353351 + 0.0696898i
\(451\) 1.00793 + 1.74578i 0.0474614 + 0.0822056i
\(452\) −1.06230 + 0.00350071i −0.0499665 + 0.000164660i
\(453\) −24.2260 + 22.6159i −1.13824 + 1.06259i
\(454\) −5.73500 + 21.5453i −0.269157 + 1.01117i
\(455\) −9.58793 6.71059i −0.449489 0.314597i
\(456\) −8.64119 16.0387i −0.404661 0.751081i
\(457\) 7.75626 13.4342i 0.362823 0.628427i −0.625601 0.780143i \(-0.715146\pi\)
0.988424 + 0.151715i \(0.0484797\pi\)
\(458\) −6.49781 24.0913i −0.303623 1.12571i
\(459\) −12.3475 + 32.3245i −0.576331 + 1.50878i
\(460\) 24.4662 14.2333i 1.14074 0.663631i
\(461\) 0.857290i 0.0399280i 0.999801 + 0.0199640i \(0.00635516\pi\)
−0.999801 + 0.0199640i \(0.993645\pi\)
\(462\) 0.776449 6.45164i 0.0361237 0.300157i
\(463\) 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
\(465\) 2.31703 + 10.0112i 0.107450 + 0.464259i
\(466\) 24.7659 6.67975i 1.14726 0.309434i
\(467\) 8.69155 + 5.01807i 0.402197 + 0.232208i 0.687431 0.726249i \(-0.258738\pi\)
−0.285235 + 0.958458i \(0.592072\pi\)
\(468\) −6.56305 13.3077i −0.303377 0.615150i
\(469\) 19.0986 8.91063i 0.881893 0.411455i
\(470\) −1.55950 + 5.85874i −0.0719345 + 0.270244i
\(471\) −13.8479 + 12.9275i −0.638076 + 0.595668i
\(472\) −23.2150 6.09762i −1.06856 0.280666i
\(473\) 7.98586 4.61064i 0.367190 0.211997i
\(474\) −10.9735 + 5.86564i −0.504031 + 0.269418i
\(475\) 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 −0.999981 0.00615194i \(-0.998042\pi\)
0.494663 0.869085i \(-0.335292\pi\)
\(480\) 8.36308 + 15.4008i 0.381721 + 0.702945i
\(481\) −7.97373 4.60364i −0.363571 0.209908i
\(482\) 7.81397 29.3555i 0.355917 1.33711i
\(483\) −13.5578 + 33.6296i −0.616902 + 1.53020i
\(484\) −17.3440 9.93751i −0.788364 0.451705i
\(485\) −1.57021 + 2.71969i −0.0712997 + 0.123495i
\(486\) −20.6827 + 7.63061i −0.938186 + 0.346131i
\(487\) 11.2659 + 19.5131i 0.510506 + 0.884223i 0.999926 + 0.0121746i \(0.00387541\pi\)
−0.489419 + 0.872049i \(0.662791\pi\)
\(488\) 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 \(-0.308272\pi\)
0.566565 + 0.824017i \(0.308272\pi\)
\(492\) 6.77980 1.59270i 0.305657 0.0718044i
\(493\) −2.49190 4.31610i −0.112230 0.194387i
\(494\) 3.38692 + 12.5573i 0.152385 + 0.564982i
\(495\) −2.36387 4.83325i −0.106248 0.217238i
\(496\) −11.4462 + 6.70944i −0.513950 + 0.301263i
\(497\) −1.25801 + 14.4133i −0.0564295 + 0.646526i
\(498\) 7.31402 11.7622i 0.327749 0.527078i
\(499\) −9.19695 5.30986i −0.411712 0.237702i 0.279813 0.960054i \(-0.409727\pi\)
−0.691525 + 0.722353i \(0.743061\pi\)
\(500\) −24.3281 + 0.0801710i −1.08799 + 0.00358535i
\(501\) −3.09721 13.3821i −0.138373 0.597869i
\(502\) −19.8880 19.8225i −0.887643 0.884723i
\(503\) −13.3046 −0.593223 −0.296612 0.954998i \(-0.595857\pi\)
−0.296612 + 0.954998i \(0.595857\pi\)
\(504\) −20.5656 9.00303i −0.916066 0.401027i
\(505\) 26.1892 1.16540
\(506\) −7.94688 7.92074i −0.353282 0.352120i
\(507\) −2.68861 11.6167i −0.119405 0.515916i
\(508\) 0.0298162 + 9.04782i 0.00132288 + 0.401432i
\(509\) 20.2595 + 11.6968i 0.897985 + 0.518452i 0.876546 0.481318i \(-0.159842\pi\)
0.0214392 + 0.999770i \(0.493175\pi\)
\(510\) −15.4065 + 24.7763i −0.682211 + 1.09711i
\(511\) −15.7405 + 7.34385i −0.696318 + 0.324873i
\(512\) −15.7610 + 16.2355i −0.696544 + 0.717515i
\(513\) 19.0806 3.05413i 0.842431 0.134843i
\(514\) −3.21590 11.9233i −0.141847 0.525913i
\(515\) −8.81956 15.2759i −0.388636 0.673138i
\(516\) −7.28560 31.0134i −0.320731 1.36529i
\(517\) 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 \(-0.156405\pi\)
−0.849460 + 0.527654i \(0.823072\pi\)
\(522\) 1.02552 3.00504i 0.0448856 0.131527i
\(523\) −5.30372 + 9.18631i −0.231915 + 0.401689i −0.958372 0.285523i \(-0.907833\pi\)
0.726456 + 0.687213i \(0.241166\pi\)
\(524\) −15.3762 + 26.8362i −0.671713 + 1.17235i
\(525\) 6.49904 5.08548i 0.283641 0.221949i
\(526\) 7.20089 27.0523i 0.313974 1.17954i
\(527\) −19.1290 11.0441i −0.833272 0.481090i
\(528\) 5.04667 4.77389i 0.219628 0.207757i
\(529\) 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
\(534\) 31.9498 17.0780i 1.38260 0.739038i
\(535\) −10.7845 + 6.22642i −0.466254 + 0.269192i
\(536\) 21.7910 + 5.72359i 0.941229 + 0.247221i
\(537\) −9.56725 + 8.93138i −0.412857 + 0.385417i
\(538\) 0.338381 1.27123i 0.0145887 0.0548067i
\(539\) 2.40331 + 6.59457i 0.103518 + 0.284048i
\(540\) −18.3446 + 2.99836i −0.789426 + 0.129029i
\(541\) 14.0009 + 8.08343i 0.601946 + 0.347534i 0.769807 0.638277i \(-0.220353\pi\)
−0.167861 + 0.985811i \(0.553686\pi\)
\(542\) 11.7562 3.17085i 0.504974 0.136199i
\(543\) −1.95367 8.44125i −0.0838402 0.362249i
\(544\) −36.4659 9.44972i −1.56346 0.405154i
\(545\) −4.88190 −0.209118
\(546\) 12.8228 + 9.61453i 0.548766 + 0.411464i
\(547\) 12.4170i 0.530914i 0.964123 + 0.265457i \(0.0855228\pi\)
−0.964123 + 0.265457i \(0.914477\pi\)
\(548\) −11.2783 19.3868i −0.481787 0.828164i
\(549\) −0.834061 + 12.1178i −0.0355969 + 0.517177i
\(550\) 0.664972 + 2.46545i 0.0283545 + 0.105127i
\(551\) −1.39159 + 2.41030i −0.0592836 + 0.102682i
\(552\) −34.1255 + 18.3858i −1.45248 + 0.782553i
\(553\) 7.70648 11.0108i 0.327713 0.468228i
\(554\) −10.7358 + 40.3321i −0.456119 + 1.71355i
\(555\) −8.43126 + 7.87089i −0.357887 + 0.334101i
\(556\) 0.118518 + 35.9647i 0.00502629 + 1.52524i
\(557\) −10.7167 18.5619i −0.454081 0.786492i 0.544554 0.838726i \(-0.316699\pi\)
−0.998635 + 0.0522341i \(0.983366\pi\)
\(558\) −2.72301 13.8066i −0.115274 0.584479i
\(559\) 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 \(-0.810483\pi\)
0.0717262 + 0.997424i \(0.477149\pi\)
\(564\) 2.39698 7.94925i 0.100931 0.334724i
\(565\) 0.475020 0.822758i 0.0199842 0.0346137i
\(566\) 28.4933 + 7.58447i 1.19766 + 0.318799i
\(567\) 16.1979 17.4536i 0.680248 0.732982i
\(568\) −10.8827 + 10.9908i −0.456627 + 0.461164i
\(569\) 23.8691 + 13.7808i 1.00064 + 0.577722i 0.908439 0.418018i \(-0.137275\pi\)
0.0922056 + 0.995740i \(0.470608\pi\)
\(570\) 16.2843 + 0.532894i 0.682074 + 0.0223205i
\(571\) 0.339940 0.196264i 0.0142260 0.00821340i −0.492870 0.870103i \(-0.664052\pi\)
0.507096 + 0.861889i \(0.330719\pi\)
\(572\) −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
\(576\) −10.7571 21.4543i −0.448212 0.893927i
\(577\) −12.7927 + 7.38589i −0.532569 + 0.307479i −0.742062 0.670331i \(-0.766152\pi\)
0.209493 + 0.977810i \(0.432819\pi\)
\(578\) −10.0707 37.3383i −0.418888 1.55307i
\(579\) −1.50016 + 1.40046i −0.0623447 + 0.0582011i
\(580\) 1.33097 2.32296i 0.0552656 0.0964555i
\(581\) −1.30083 + 14.9039i −0.0539675 + 0.618319i
\(582\) 2.27104 3.65222i 0.0941375 0.151389i
\(583\) 6.35591 11.0088i 0.263235 0.455936i
\(584\) −17.9595 4.71720i −0.743168 0.195199i
\(585\) 13.2386 + 0.911205i 0.547350 + 0.0376737i
\(586\) 13.1274 + 13.0842i 0.542289 + 0.540505i
\(587\) 3.51421i 0.145047i −0.997367 0.0725236i \(-0.976895\pi\)
0.997367 0.0725236i \(-0.0231052\pi\)
\(588\) 24.2099 1.37207i 0.998398 0.0565833i
\(589\) 12.3350i 0.508256i
\(590\) 15.1536 15.2036i 0.623863 0.625923i
\(591\) −7.62003 32.9239i −0.313446 1.35431i
\(592\) −12.9460 7.36103i −0.532076 0.302536i
\(593\) 17.8824 30.9732i 0.734342 1.27192i −0.220670 0.975349i \(-0.570824\pi\)
0.955012 0.296568i \(-0.0958423\pi\)
\(594\) 3.01905 + 6.72135i 0.123873 + 0.275781i
\(595\) 2.74011 31.3941i 0.112334 1.28703i
\(596\) 1.60517 + 0.919706i 0.0657504 + 0.0376726i
\(597\) −17.4192 18.6593i −0.712919 0.763676i
\(598\) 26.7182 7.20633i 1.09259 0.294689i
\(599\) 35.4819 20.4855i 1.44975 0.837014i 0.451284 0.892380i \(-0.350966\pi\)
0.998466 + 0.0553669i \(0.0176328\pi\)
\(600\) 8.81821 + 0.259483i 0.360002 + 0.0105933i
\(601\) 36.1540i 1.47475i −0.675482 0.737377i \(-0.736064\pi\)
0.675482 0.737377i \(-0.263936\pi\)
\(602\) 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
\(606\) −35.8462 1.17305i −1.45615 0.0476517i
\(607\) 9.04038 + 5.21946i 0.366938 + 0.211851i 0.672120 0.740443i \(-0.265384\pi\)
−0.305182 + 0.952294i \(0.598717\pi\)
\(608\) 5.61194 + 20.2744i 0.227594 + 0.822237i
\(609\) 0.479865 + 3.39588i 0.0194451 + 0.137608i
\(610\) −2.63441 + 9.89696i −0.106664 + 0.400716i
\(611\) −2.96367 + 5.13323i −0.119897 + 0.207668i
\(612\) 22.1973 33.2223i 0.897272 1.34293i
\(613\) 5.37925 3.10571i 0.217266 0.125439i −0.387418 0.921904i \(-0.626633\pi\)
0.604684 + 0.796466i \(0.293300\pi\)
\(614\) −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 \(0.850413\pi\)
\(618\) 11.3875 + 21.3039i 0.458072 + 0.856967i
\(619\) 14.1624 + 24.5300i 0.569235 + 0.985943i 0.996642 + 0.0818842i \(0.0260938\pi\)
−0.427407 + 0.904059i \(0.640573\pi\)
\(620\) −0.0391015 11.8655i −0.00157036 0.476529i
\(621\) −6.49827 40.5978i −0.260767 1.62914i
\(622\) −27.1384 7.22380i −1.08815 0.289648i
\(623\) −22.4377 + 32.0584i −0.898947 + 1.28439i
\(624\) 3.97326 + 16.6665i 0.159058 + 0.667194i
\(625\) 6.37661 11.0446i 0.255064 0.441785i
\(626\) −3.67529 + 0.991285i −0.146894 + 0.0396197i
\(627\) −1.45629 6.29220i −0.0581585 0.251286i
\(628\) 18.9081 10.9998i 0.754515 0.438941i
\(629\) 24.7930i 0.988563i
\(630\) 16.2081 11.8490i 0.645746 0.472075i
\(631\) 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
\(633\) −25.1834 + 5.82853i −1.00095 + 0.231663i
\(634\) −3.94267 14.6179i −0.156584 0.580550i
\(635\) −7.00758 4.04583i −0.278087 0.160554i
\(636\) −30.0743 32.0034i −1.19252 1.26902i
\(637\) −17.0494 2.99902i −0.675520 0.118825i
\(638\) −1.02554 0.272983i −0.0406016 0.0108075i
\(639\) −7.20771 14.7371i −0.285133 0.582992i
\(640\) −5.46258 19.4848i −0.215927 0.770206i
\(641\) 0.0793494 0.0458124i 0.00313411 0.00180948i −0.498432 0.866929i \(-0.666091\pi\)
0.501566 + 0.865119i \(0.332757\pi\)
\(642\) 15.0401 8.03932i 0.593584 0.317287i
\(643\) −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 \(-0.217680\pi\)
−0.934716 + 0.355395i \(0.884346\pi\)
\(648\) 25.2433 3.28230i 0.991652 0.128941i
\(649\) −7.36901 4.25450i −0.289259 0.167004i
\(650\) −6.08611 1.62002i −0.238717 0.0635426i
\(651\) 9.36710 + 11.9708i 0.367126 + 0.469172i
\(652\) 10.5762 18.4587i 0.414196 0.722899i
\(653\) 16.7312 28.9792i 0.654741 1.13404i −0.327218 0.944949i \(-0.606111\pi\)
0.981959 0.189095i \(-0.0605555\pi\)
\(654\) 6.68207 + 0.218666i 0.261290 + 0.00855054i
\(655\) −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 \(-0.597911\pi\)
−0.302770 + 0.953064i \(0.597911\pi\)
\(660\) 1.42080 + 6.04805i 0.0553044 + 0.235420i
\(661\) −15.4190 26.7065i −0.599731 1.03876i −0.992861 0.119281i \(-0.961941\pi\)
0.393130 0.919483i \(-0.371392\pi\)
\(662\) 29.7238 8.01699i 1.15525 0.311589i
\(663\) −20.8506 + 19.4648i −0.809772 + 0.755952i
\(664\) −11.2531 + 11.3649i −0.436705 + 0.441044i
\(665\) −15.9481 + 7.44072i −0.618441 + 0.288539i
\(666\) 11.8928 10.3956i 0.460835 0.402820i
\(667\) 5.12838 + 2.96087i 0.198572 + 0.114646i
\(668\) 0.0522675 + 15.8607i 0.00202229 + 0.613670i
\(669\) −12.8615 + 2.97671i −0.497254 + 0.115086i
\(670\) −14.2241 + 14.2710i −0.549524 + 0.551338i
\(671\) 4.05974 0.156725
\(672\) 20.8424 + 15.4141i 0.804014 + 0.594611i
\(673\) 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
\(675\) −3.33899 + 8.74115i −0.128518 + 0.336447i
\(676\) 0.0453721 + 13.7683i 0.00174508 + 0.529550i
\(677\) 32.5497 + 18.7926i 1.25099 + 0.722257i 0.971305 0.237836i \(-0.0764382\pi\)
0.279680 + 0.960093i \(0.409772\pi\)
\(678\) −0.687032 + 1.10487i −0.0263853 + 0.0424322i
\(679\) −0.403913 + 4.62773i −0.0155008 + 0.177596i
\(680\) 23.7039 23.9394i 0.909003 0.918034i
\(681\) 18.6337 + 19.9604i 0.714046 + 0.764883i
\(682\) −4.54120 + 1.22483i −0.173891 + 0.0469013i
\(683\) 1.02051 + 1.76757i 0.0390487 + 0.0676343i 0.884889 0.465802i \(-0.154234\pi\)
−0.845841 + 0.533436i \(0.820901\pi\)
\(684\) −22.2651 1.45879i −0.851329 0.0557782i
\(685\) 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
\(690\) 1.13384 34.6481i 0.0431644 1.31903i
\(691\) 11.7334 20.3229i 0.446360 0.773119i −0.551786 0.833986i \(-0.686053\pi\)
0.998146 + 0.0608673i \(0.0193866\pi\)
\(692\) 4.24663 7.41168i 0.161433 0.281750i
\(693\) −6.19151 5.00049i −0.235196 0.189953i
\(694\) 27.1694 + 7.23206i 1.03134 + 0.274525i
\(695\) −27.8548 16.0820i −1.05659 0.610025i
\(696\) −1.92580 + 3.11991i −0.0729974 + 0.118260i
\(697\) −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 \(-0.594308\pi\)
−0.291963 + 0.956430i \(0.594308\pi\)
\(702\) −18.0795 1.84018i −0.682366 0.0694531i
\(703\) −11.9906 + 6.92275i −0.452232 + 0.261096i
\(704\) −6.90687 + 4.07925i −0.260312 + 0.153743i
\(705\) 5.06702 + 5.42777i 0.190835 + 0.204421i
\(706\) 23.1817 + 6.17059i 0.872454 + 0.232233i
\(707\) 35.1062 16.3791i 1.32030 0.615999i
\(708\) −21.4223 + 20.1311i −0.805101 + 0.756572i
\(709\) −41.7153 24.0843i −1.56665 0.904505i −0.996556 0.0829254i \(-0.973574\pi\)
−0.570093 0.821580i \(-0.693093\pi\)
\(710\) −3.60211 13.3552i −0.135185 0.501212i
\(711\) −1.04643 + 15.2033i −0.0392443 + 0.570169i
\(712\) −40.3528 + 11.0266i −1.51228 + 0.413238i
\(713\) 26.2452 0.982891
\(714\) −5.15669 + 42.8477i −0.192984 + 1.60354i
\(715\) 4.43523i 0.165868i
\(716\) 13.0633 7.59958i 0.488197 0.284010i
\(717\) 9.12976 2.11302i 0.340957 0.0789123i
\(718\) −28.7206 + 7.74640i −1.07184 + 0.289093i
\(719\) 6.49021 11.2414i 0.242044 0.419232i −0.719252 0.694749i \(-0.755516\pi\)
0.961296 + 0.275517i \(0.0888489\pi\)
\(720\) 21.4222 + 1.33268i 0.798358 + 0.0496659i
\(721\) −21.3763 14.9613i −0.796094 0.557186i
\(722\) −7.06603 1.88086i −0.262970 0.0699985i
\(723\) −25.3886 27.1961i −0.944211 1.01143i
\(724\) 0.0329696 + 10.0047i 0.00122531 + 0.371822i
\(725\) −0.673858 1.16716i −0.0250264 0.0433471i
\(726\) −21.5908 + 11.5409i −0.801309 + 0.428321i
\(727\) 12.0095i 0.445406i −0.974886 0.222703i \(-0.928512\pi\)
0.974886 0.222703i \(-0.0714880\pi\)
\(728\) −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
\(732\) 4.04913 13.4284i 0.149660 0.496328i
\(733\) 4.29808 7.44449i 0.158753 0.274968i −0.775666 0.631143i \(-0.782586\pi\)
0.934419 + 0.356175i \(0.115919\pi\)
\(734\) −0.524538 + 1.97058i −0.0193610 + 0.0727355i
\(735\) −9.82673 + 19.3318i −0.362465 + 0.713065i
\(736\) 43.1379 11.9405i 1.59008 0.440133i
\(737\) 6.91700 + 3.99353i 0.254791 + 0.147104i
\(738\) 2.75485 8.07245i 0.101407 0.297151i
\(739\) −2.25350 + 1.30106i −0.0828963 + 0.0478602i −0.540875 0.841103i \(-0.681907\pi\)
0.457979 + 0.888963i \(0.348574\pi\)
\(740\) 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 \(-0.0790872\pi\)
\(744\) −0.477949 + 16.2425i −0.0175225 + 0.595480i
\(745\) −1.43281 + 0.827235i −0.0524942 + 0.0303075i
\(746\) 29.6981 8.01006i 1.08733 0.293269i
\(747\) −7.45305 15.2387i −0.272693 0.557556i
\(748\) −11.5872 6.63904i −0.423669 0.242747i
\(749\) −10.5623 + 15.0912i −0.385939 + 0.551420i
\(750\) −15.7339 + 25.3029i −0.574522 + 0.923932i
\(751\) −7.86182 + 13.6171i −0.286882 + 0.496894i −0.973064 0.230536i \(-0.925952\pi\)
0.686182 + 0.727430i \(0.259285\pi\)
\(752\) −4.73879 + 8.33419i −0.172806 + 0.303917i
\(753\) −33.5047 + 7.75445i −1.22098 + 0.282588i
\(754\) 1.84776 1.85386i 0.0672915 0.0675136i
\(755\) 34.2244i 1.24555i
\(756\) −22.7154 + 15.4922i −0.826152 + 0.563447i
\(757\) 48.7626i 1.77231i −0.463391 0.886154i \(-0.653367\pi\)
0.463391 0.886154i \(-0.346633\pi\)
\(758\) 1.82598 + 1.81997i 0.0663226 + 0.0661044i
\(759\) −13.3879 + 3.09854i −0.485950 + 0.112470i
\(760\) −18.1964 4.77942i −0.660051 0.173368i
\(761\) 21.7170 37.6149i 0.787240 1.36354i −0.140411 0.990093i \(-0.544842\pi\)
0.927652 0.373447i \(-0.121824\pi\)
\(762\) 9.41036 + 5.85158i 0.340901 + 0.211980i
\(763\) −6.54411 + 3.05321i −0.236913 + 0.110534i
\(764\) 12.0426 21.0180i 0.435684 0.760403i
\(765\) 15.6993 + 32.0994i 0.567611 + 1.16056i
\(766\) −3.54332 13.1372i −0.128025 0.474667i
\(767\) 18.1747 10.4932i 0.656252 0.378887i
\(768\) 6.60411 + 26.9144i 0.238305 + 0.971190i
\(769\) 23.9226i 0.862670i 0.902192 + 0.431335i \(0.141957\pi\)
−0.902192 + 0.431335i \(0.858043\pi\)
\(770\) −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
\(773\)