Properties

Label 418.2.u.b.5.10
Level $418$
Weight $2$
Character 418.5
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 5.10
Character \(\chi\) \(=\) 418.5
Dual form 418.2.u.b.251.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.615661 - 0.788011i) q^{2} +(1.73828 - 1.67864i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(2.93245 - 1.83240i) q^{5} +(-2.39298 - 0.336312i) q^{6} +(-1.22803 - 0.546756i) q^{7} +(0.913545 - 0.406737i) q^{8} +(0.0990960 - 2.83774i) q^{9} +O(q^{10})\) \(q+(-0.615661 - 0.788011i) q^{2} +(1.73828 - 1.67864i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(2.93245 - 1.83240i) q^{5} +(-2.39298 - 0.336312i) q^{6} +(-1.22803 - 0.546756i) q^{7} +(0.913545 - 0.406737i) q^{8} +(0.0990960 - 2.83774i) q^{9} +(-3.24934 - 1.18266i) q^{10} +(2.28188 - 2.40687i) q^{11} +(1.20825 + 2.09275i) q^{12} +(-5.44571 + 2.89554i) q^{13} +(0.325204 + 1.30432i) q^{14} +(2.02149 - 8.10775i) q^{15} +(-0.882948 - 0.469472i) q^{16} +(0.195285 + 5.59223i) q^{17} +(-2.29718 + 1.66900i) q^{18} +(4.21427 - 1.11350i) q^{19} +(1.06854 + 3.28864i) q^{20} +(-3.05248 + 1.11101i) q^{21} +(-3.30151 - 0.316324i) q^{22} +(2.00954 - 1.68620i) q^{23} +(0.905237 - 2.24054i) q^{24} +(3.04971 - 6.25283i) q^{25} +(5.63443 + 2.50861i) q^{26} +(0.259572 + 0.288284i) q^{27} +(0.827603 - 1.05928i) q^{28} +(-1.66606 + 0.477735i) q^{29} +(-7.63355 + 3.39867i) q^{30} +(-6.99962 + 7.77386i) q^{31} +(0.173648 + 0.984808i) q^{32} +(-0.0737269 - 8.01428i) q^{33} +(4.28651 - 3.59681i) q^{34} +(-4.60302 + 0.646912i) q^{35} +(2.72947 + 0.782664i) q^{36} +(0.0929429 - 0.0675270i) q^{37} +(-3.47202 - 2.63535i) q^{38} +(-4.60563 + 14.1747i) q^{39} +(1.93362 - 2.86671i) q^{40} +(2.43210 - 2.34866i) q^{41} +(2.75478 + 1.72138i) q^{42} +(0.379529 + 0.318463i) q^{43} +(1.78334 + 2.79637i) q^{44} +(-4.90927 - 8.50310i) q^{45} +(-2.56594 - 0.545408i) q^{46} +(-1.05650 - 1.56633i) q^{47} +(-2.32289 + 0.666077i) q^{48} +(-3.47479 - 3.85914i) q^{49} +(-6.80489 + 1.44642i) q^{50} +(9.72681 + 9.39307i) q^{51} +(-1.49209 - 5.98445i) q^{52} +(-2.20314 - 1.37667i) q^{53} +(0.0673624 - 0.382031i) q^{54} +(2.28114 - 11.2393i) q^{55} -1.34425 q^{56} +(5.45644 - 9.00984i) q^{57} +(1.40219 + 1.01875i) q^{58} +(-6.34925 + 9.41315i) q^{59} +(7.37787 + 3.92288i) q^{60} +(-3.73397 - 9.24190i) q^{61} +(10.4353 + 0.729706i) q^{62} +(-1.67324 + 3.43066i) q^{63} +(0.669131 - 0.743145i) q^{64} +(-10.6635 + 18.4697i) q^{65} +(-6.26995 + 4.99218i) q^{66} +(6.78841 + 2.47078i) q^{67} +(-5.47336 - 1.16340i) q^{68} +(0.662619 - 6.30439i) q^{69} +(3.34367 + 3.22895i) q^{70} +(5.52944 - 3.45518i) q^{71} +(-1.06368 - 2.63271i) q^{72} +(2.05911 + 4.22180i) q^{73} +(-0.110433 - 0.0316662i) q^{74} +(-5.19500 - 15.9886i) q^{75} +(0.0609012 + 4.35847i) q^{76} +(-4.11820 + 1.70809i) q^{77} +(14.0053 - 5.09751i) q^{78} +(13.0973 - 1.84071i) q^{79} +(-3.44945 + 0.241209i) q^{80} +(9.43279 + 0.659605i) q^{81} +(-3.34812 - 0.470547i) q^{82} +(-5.09393 + 1.08275i) q^{83} +(-0.339548 - 3.23059i) q^{84} +(10.8198 + 16.0411i) q^{85} +(0.0172906 - 0.495138i) q^{86} +(-2.09414 + 3.62716i) q^{87} +(1.10563 - 3.12691i) q^{88} +(-1.25206 - 7.10080i) q^{89} +(-3.67809 + 9.10358i) q^{90} +(8.27068 - 0.578342i) q^{91} +(1.14996 + 2.35778i) q^{92} +(0.882205 + 25.2630i) q^{93} +(-0.583838 + 1.79687i) q^{94} +(10.3178 - 10.9875i) q^{95} +(1.95499 + 1.42038i) q^{96} +(4.66743 + 5.97403i) q^{97} +(-0.901753 + 5.11410i) q^{98} +(-6.60395 - 6.71388i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.615661 0.788011i −0.435338 0.557208i
\(3\) 1.73828 1.67864i 1.00360 0.969164i 0.00407404 0.999992i \(-0.498703\pi\)
0.999525 + 0.0308276i \(0.00981430\pi\)
\(4\) −0.241922 + 0.970296i −0.120961 + 0.485148i
\(5\) 2.93245 1.83240i 1.31143 0.819472i 0.319663 0.947531i \(-0.396430\pi\)
0.991767 + 0.128059i \(0.0408747\pi\)
\(6\) −2.39298 0.336312i −0.976931 0.137299i
\(7\) −1.22803 0.546756i −0.464153 0.206654i 0.161317 0.986903i \(-0.448426\pi\)
−0.625470 + 0.780248i \(0.715093\pi\)
\(8\) 0.913545 0.406737i 0.322987 0.143803i
\(9\) 0.0990960 2.83774i 0.0330320 0.945913i
\(10\) −3.24934 1.18266i −1.02753 0.373991i
\(11\) 2.28188 2.40687i 0.688012 0.725700i
\(12\) 1.20825 + 2.09275i 0.348792 + 0.604125i
\(13\) −5.44571 + 2.89554i −1.51037 + 0.803078i −0.998434 0.0559460i \(-0.982183\pi\)
−0.511936 + 0.859024i \(0.671071\pi\)
\(14\) 0.325204 + 1.30432i 0.0869143 + 0.348594i
\(15\) 2.02149 8.10775i 0.521946 2.09341i
\(16\) −0.882948 0.469472i −0.220737 0.117368i
\(17\) 0.195285 + 5.59223i 0.0473636 + 1.35632i 0.757769 + 0.652523i \(0.226289\pi\)
−0.710406 + 0.703793i \(0.751488\pi\)
\(18\) −2.29718 + 1.66900i −0.541450 + 0.393387i
\(19\) 4.21427 1.11350i 0.966821 0.255455i
\(20\) 1.06854 + 3.28864i 0.238933 + 0.735361i
\(21\) −3.05248 + 1.11101i −0.666106 + 0.242443i
\(22\) −3.30151 0.316324i −0.703883 0.0674406i
\(23\) 2.00954 1.68620i 0.419018 0.351598i −0.408772 0.912637i \(-0.634043\pi\)
0.827789 + 0.561039i \(0.189598\pi\)
\(24\) 0.905237 2.24054i 0.184781 0.457348i
\(25\) 3.04971 6.25283i 0.609942 1.25057i
\(26\) 5.63443 + 2.50861i 1.10500 + 0.491979i
\(27\) 0.259572 + 0.288284i 0.0499547 + 0.0554803i
\(28\) 0.827603 1.05928i 0.156402 0.200186i
\(29\) −1.66606 + 0.477735i −0.309380 + 0.0887132i −0.426735 0.904377i \(-0.640336\pi\)
0.117355 + 0.993090i \(0.462558\pi\)
\(30\) −7.63355 + 3.39867i −1.39369 + 0.620510i
\(31\) −6.99962 + 7.77386i −1.25717 + 1.39623i −0.373826 + 0.927499i \(0.621954\pi\)
−0.883342 + 0.468728i \(0.844712\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −0.0737269 8.01428i −0.0128342 1.39511i
\(34\) 4.28651 3.59681i 0.735130 0.616847i
\(35\) −4.60302 + 0.646912i −0.778052 + 0.109348i
\(36\) 2.72947 + 0.782664i 0.454912 + 0.130444i
\(37\) 0.0929429 0.0675270i 0.0152797 0.0111014i −0.580119 0.814532i \(-0.696994\pi\)
0.595399 + 0.803430i \(0.296994\pi\)
\(38\) −3.47202 2.63535i −0.563236 0.427511i
\(39\) −4.60563 + 14.1747i −0.737491 + 2.26976i
\(40\) 1.93362 2.86671i 0.305732 0.453267i
\(41\) 2.43210 2.34866i 0.379831 0.366798i −0.480096 0.877216i \(-0.659398\pi\)
0.859927 + 0.510418i \(0.170509\pi\)
\(42\) 2.75478 + 1.72138i 0.425072 + 0.265615i
\(43\) 0.379529 + 0.318463i 0.0578777 + 0.0485651i 0.671268 0.741215i \(-0.265750\pi\)
−0.613390 + 0.789780i \(0.710195\pi\)
\(44\) 1.78334 + 2.79637i 0.268849 + 0.421569i
\(45\) −4.90927 8.50310i −0.731830 1.26757i
\(46\) −2.56594 0.545408i −0.378327 0.0804160i
\(47\) −1.05650 1.56633i −0.154107 0.228473i 0.744076 0.668095i \(-0.232890\pi\)
−0.898183 + 0.439622i \(0.855112\pi\)
\(48\) −2.32289 + 0.666077i −0.335280 + 0.0961400i
\(49\) −3.47479 3.85914i −0.496398 0.551306i
\(50\) −6.80489 + 1.44642i −0.962356 + 0.204555i
\(51\) 9.72681 + 9.39307i 1.36203 + 1.31529i
\(52\) −1.49209 5.98445i −0.206916 0.829894i
\(53\) −2.20314 1.37667i −0.302624 0.189100i 0.370104 0.928990i \(-0.379322\pi\)
−0.672728 + 0.739890i \(0.734878\pi\)
\(54\) 0.0673624 0.382031i 0.00916687 0.0519879i
\(55\) 2.28114 11.2393i 0.307588 1.51551i
\(56\) −1.34425 −0.179633
\(57\) 5.45644 9.00984i 0.722723 1.19338i
\(58\) 1.40219 + 1.01875i 0.184117 + 0.133769i
\(59\) −6.34925 + 9.41315i −0.826602 + 1.22549i 0.145133 + 0.989412i \(0.453639\pi\)
−0.971735 + 0.236076i \(0.924139\pi\)
\(60\) 7.37787 + 3.92288i 0.952479 + 0.506442i
\(61\) −3.73397 9.24190i −0.478086 1.18330i −0.952918 0.303228i \(-0.901936\pi\)
0.474832 0.880076i \(-0.342509\pi\)
\(62\) 10.4353 + 0.729706i 1.32528 + 0.0926728i
\(63\) −1.67324 + 3.43066i −0.210809 + 0.432222i
\(64\) 0.669131 0.743145i 0.0836413 0.0928931i
\(65\) −10.6635 + 18.4697i −1.32264 + 2.29089i
\(66\) −6.26995 + 4.99218i −0.771777 + 0.614495i
\(67\) 6.78841 + 2.47078i 0.829336 + 0.301854i 0.721586 0.692324i \(-0.243413\pi\)
0.107750 + 0.994178i \(0.465636\pi\)
\(68\) −5.47336 1.16340i −0.663743 0.141083i
\(69\) 0.662619 6.30439i 0.0797699 0.758960i
\(70\) 3.34367 + 3.22895i 0.399645 + 0.385933i
\(71\) 5.52944 3.45518i 0.656224 0.410054i −0.160537 0.987030i \(-0.551323\pi\)
0.816762 + 0.576975i \(0.195767\pi\)
\(72\) −1.06368 2.63271i −0.125356 0.310268i
\(73\) 2.05911 + 4.22180i 0.241001 + 0.494125i 0.984671 0.174422i \(-0.0558056\pi\)
−0.743670 + 0.668547i \(0.766917\pi\)
\(74\) −0.110433 0.0316662i −0.0128376 0.00368113i
\(75\) −5.19500 15.9886i −0.599867 1.84620i
\(76\) 0.0609012 + 4.35847i 0.00698585 + 0.499951i
\(77\) −4.11820 + 1.70809i −0.469312 + 0.194655i
\(78\) 14.0053 5.09751i 1.58579 0.577180i
\(79\) 13.0973 1.84071i 1.47356 0.207096i 0.643791 0.765201i \(-0.277360\pi\)
0.829770 + 0.558105i \(0.188472\pi\)
\(80\) −3.44945 + 0.241209i −0.385661 + 0.0269680i
\(81\) 9.43279 + 0.659605i 1.04809 + 0.0732894i
\(82\) −3.34812 0.470547i −0.369738 0.0519633i
\(83\) −5.09393 + 1.08275i −0.559132 + 0.118847i −0.478805 0.877921i \(-0.658930\pi\)
−0.0803272 + 0.996769i \(0.525597\pi\)
\(84\) −0.339548 3.23059i −0.0370478 0.352486i
\(85\) 10.8198 + 16.0411i 1.17358 + 1.73990i
\(86\) 0.0172906 0.495138i 0.00186449 0.0533921i
\(87\) −2.09414 + 3.62716i −0.224515 + 0.388872i
\(88\) 1.10563 3.12691i 0.117861 0.333330i
\(89\) −1.25206 7.10080i −0.132718 0.752684i −0.976421 0.215873i \(-0.930740\pi\)
0.843703 0.536810i \(-0.180371\pi\)
\(90\) −3.67809 + 9.10358i −0.387704 + 0.959602i
\(91\) 8.27068 0.578342i 0.867003 0.0606267i
\(92\) 1.14996 + 2.35778i 0.119892 + 0.245815i
\(93\) 0.882205 + 25.2630i 0.0914803 + 2.61965i
\(94\) −0.583838 + 1.79687i −0.0602183 + 0.185333i
\(95\) 10.3178 10.9875i 1.05858 1.12729i
\(96\) 1.95499 + 1.42038i 0.199530 + 0.144967i
\(97\) 4.66743 + 5.97403i 0.473905 + 0.606571i 0.964262 0.264951i \(-0.0853557\pi\)
−0.490357 + 0.871522i \(0.663133\pi\)
\(98\) −0.901753 + 5.11410i −0.0910908 + 0.516602i
\(99\) −6.60395 6.71388i −0.663722 0.674770i
\(100\) 5.32930 + 4.47182i 0.532930 + 0.447182i
\(101\) −7.11950 + 3.78551i −0.708417 + 0.376672i −0.784247 0.620449i \(-0.786950\pi\)
0.0758300 + 0.997121i \(0.475839\pi\)
\(102\) 1.41342 13.4478i 0.139949 1.33153i
\(103\) 1.62648 + 15.4749i 0.160262 + 1.52479i 0.718745 + 0.695274i \(0.244717\pi\)
−0.558483 + 0.829516i \(0.688616\pi\)
\(104\) −3.79719 + 4.86018i −0.372345 + 0.476580i
\(105\) −6.91542 + 8.85133i −0.674876 + 0.863802i
\(106\) 0.271553 + 2.58366i 0.0263756 + 0.250947i
\(107\) −0.560783 + 5.33550i −0.0542130 + 0.515802i 0.933394 + 0.358854i \(0.116832\pi\)
−0.987607 + 0.156948i \(0.949834\pi\)
\(108\) −0.342517 + 0.182120i −0.0329587 + 0.0175245i
\(109\) −1.53506 1.28807i −0.147032 0.123375i 0.566305 0.824196i \(-0.308373\pi\)
−0.713337 + 0.700821i \(0.752817\pi\)
\(110\) −10.2611 + 5.12206i −0.978359 + 0.488369i
\(111\) 0.0482076 0.273399i 0.00457566 0.0259499i
\(112\) 0.827603 + 1.05928i 0.0782012 + 0.100093i
\(113\) −0.986997 0.717095i −0.0928489 0.0674587i 0.540392 0.841413i \(-0.318276\pi\)
−0.633241 + 0.773955i \(0.718276\pi\)
\(114\) −10.4592 + 1.24728i −0.979591 + 0.116819i
\(115\) 2.80307 8.62697i 0.261388 0.804469i
\(116\) −0.0604879 1.73215i −0.00561616 0.160826i
\(117\) 7.67713 + 15.7405i 0.709751 + 1.45521i
\(118\) 11.3267 0.792037i 1.04270 0.0729129i
\(119\) 2.81777 6.97422i 0.258305 0.639326i
\(120\) −1.45100 8.22901i −0.132457 0.751202i
\(121\) −0.586077 10.9844i −0.0532797 0.998580i
\(122\) −4.98386 + 8.63229i −0.451217 + 0.781531i
\(123\) 0.285137 8.16526i 0.0257100 0.736237i
\(124\) −5.84959 8.67237i −0.525308 0.778802i
\(125\) −0.707319 6.72969i −0.0632645 0.601922i
\(126\) 3.73355 0.793590i 0.332611 0.0706986i
\(127\) 15.3555 + 2.15807i 1.36258 + 0.191498i 0.782291 0.622913i \(-0.214051\pi\)
0.580289 + 0.814411i \(0.302940\pi\)
\(128\) −0.997564 0.0697565i −0.0881730 0.00616566i
\(129\) 1.19431 0.0835146i 0.105154 0.00735305i
\(130\) 21.1194 2.96814i 1.85230 0.260323i
\(131\) 18.0753 6.57887i 1.57925 0.574799i 0.604207 0.796828i \(-0.293490\pi\)
0.975040 + 0.222029i \(0.0712679\pi\)
\(132\) 7.79406 + 1.86729i 0.678386 + 0.162527i
\(133\) −5.78409 0.936761i −0.501544 0.0812275i
\(134\) −2.23236 6.87050i −0.192847 0.593521i
\(135\) 1.28943 + 0.369739i 0.110977 + 0.0318221i
\(136\) 2.45297 + 5.02933i 0.210340 + 0.431261i
\(137\) 7.92890 + 19.6247i 0.677411 + 1.67665i 0.734786 + 0.678299i \(0.237283\pi\)
−0.0573743 + 0.998353i \(0.518273\pi\)
\(138\) −5.37588 + 3.35922i −0.457625 + 0.285956i
\(139\) −12.4588 12.0314i −1.05675 1.02049i −0.999755 0.0221122i \(-0.992961\pi\)
−0.0569897 0.998375i \(-0.518150\pi\)
\(140\) 0.485875 4.62279i 0.0410639 0.390697i
\(141\) −4.46582 0.949239i −0.376090 0.0799403i
\(142\) −6.12698 2.23004i −0.514165 0.187141i
\(143\) −5.45726 + 19.7144i −0.456359 + 1.64860i
\(144\) −1.41973 + 2.45905i −0.118311 + 0.204921i
\(145\) −4.01023 + 4.45382i −0.333032 + 0.369869i
\(146\) 2.05911 4.22180i 0.170413 0.349399i
\(147\) −12.5183 0.875364i −1.03249 0.0721988i
\(148\) 0.0430362 + 0.106518i 0.00353755 + 0.00875575i
\(149\) −14.1670 7.53272i −1.16060 0.617105i −0.226468 0.974019i \(-0.572718\pi\)
−0.934137 + 0.356914i \(0.883829\pi\)
\(150\) −9.40080 + 13.9373i −0.767572 + 1.13797i
\(151\) 6.39387 + 4.64542i 0.520326 + 0.378039i 0.816727 0.577025i \(-0.195786\pi\)
−0.296401 + 0.955064i \(0.595786\pi\)
\(152\) 3.39703 2.73134i 0.275535 0.221541i
\(153\) 15.8886 1.28452
\(154\) 3.88141 + 2.19358i 0.312773 + 0.176763i
\(155\) −6.28121 + 35.6225i −0.504519 + 2.86127i
\(156\) −12.6394 7.89799i −1.01196 0.632345i
\(157\) −2.15273 8.63411i −0.171806 0.689077i −0.992968 0.118382i \(-0.962229\pi\)
0.821162 0.570695i \(-0.193326\pi\)
\(158\) −9.51400 9.18756i −0.756893 0.730923i
\(159\) −6.14061 + 1.30523i −0.486982 + 0.103511i
\(160\) 2.31377 + 2.56970i 0.182920 + 0.203153i
\(161\) −3.38972 + 0.971988i −0.267148 + 0.0766034i
\(162\) −5.28763 7.83923i −0.415435 0.615908i
\(163\) −6.25000 1.32848i −0.489538 0.104055i −0.0434721 0.999055i \(-0.513842\pi\)
−0.446066 + 0.895000i \(0.647175\pi\)
\(164\) 1.69051 + 2.92805i 0.132007 + 0.228642i
\(165\) −14.9015 23.3663i −1.16008 1.81907i
\(166\) 3.98936 + 3.34747i 0.309634 + 0.259814i
\(167\) 3.71634 + 2.32223i 0.287579 + 0.179699i 0.666036 0.745920i \(-0.267990\pi\)
−0.378457 + 0.925619i \(0.623545\pi\)
\(168\) −2.33669 + 2.25652i −0.180280 + 0.174094i
\(169\) 14.0022 20.7591i 1.07709 1.59685i
\(170\) 5.97918 18.4020i 0.458582 1.41137i
\(171\) −2.74221 12.0694i −0.209702 0.922967i
\(172\) −0.400819 + 0.291212i −0.0305622 + 0.0222047i
\(173\) −17.4802 5.01238i −1.32900 0.381084i −0.465326 0.885139i \(-0.654063\pi\)
−0.863671 + 0.504055i \(0.831841\pi\)
\(174\) 4.14752 0.582896i 0.314423 0.0441892i
\(175\) −7.16392 + 6.01124i −0.541541 + 0.454407i
\(176\) −3.14474 + 1.05387i −0.237043 + 0.0794382i
\(177\) 4.76450 + 27.0208i 0.358122 + 2.03101i
\(178\) −4.82466 + 5.35833i −0.361624 + 0.401624i
\(179\) −17.0867 + 7.60750i −1.27712 + 0.568611i −0.929430 0.368997i \(-0.879701\pi\)
−0.347692 + 0.937609i \(0.613034\pi\)
\(180\) 9.43818 2.70635i 0.703480 0.201720i
\(181\) −7.35697 + 9.41649i −0.546839 + 0.699922i −0.979457 0.201655i \(-0.935368\pi\)
0.432617 + 0.901578i \(0.357590\pi\)
\(182\) −5.54768 6.16132i −0.411221 0.456707i
\(183\) −22.0045 9.79705i −1.62662 0.724219i
\(184\) 1.14996 2.35778i 0.0847765 0.173818i
\(185\) 0.148814 0.368327i 0.0109410 0.0270800i
\(186\) 19.3644 16.2487i 1.41987 1.19141i
\(187\) 13.9054 + 12.2908i 1.01686 + 0.898789i
\(188\) 1.77540 0.646192i 0.129484 0.0471284i
\(189\) −0.161143 0.495946i −0.0117214 0.0360747i
\(190\) −15.0105 1.36592i −1.08898 0.0990942i
\(191\) 17.9013 13.0060i 1.29529 0.941083i 0.295392 0.955376i \(-0.404550\pi\)
0.999898 + 0.0142931i \(0.00454978\pi\)
\(192\) −0.0843346 2.41503i −0.00608633 0.174290i
\(193\) −17.7815 9.45457i −1.27994 0.680555i −0.316526 0.948584i \(-0.602517\pi\)
−0.963411 + 0.268029i \(0.913628\pi\)
\(194\) 1.83405 7.35597i 0.131677 0.528128i
\(195\) 12.4678 + 50.0058i 0.892841 + 3.58099i
\(196\) 4.58514 2.43796i 0.327510 0.174140i
\(197\) 4.10601 + 7.11182i 0.292541 + 0.506696i 0.974410 0.224778i \(-0.0721658\pi\)
−0.681869 + 0.731475i \(0.738832\pi\)
\(198\) −1.22481 + 9.33746i −0.0870436 + 0.663585i
\(199\) −7.51534 2.73536i −0.532748 0.193904i 0.0616168 0.998100i \(-0.480374\pi\)
−0.594365 + 0.804195i \(0.702597\pi\)
\(200\) 0.242793 6.95267i 0.0171680 0.491628i
\(201\) 15.9477 7.10039i 1.12487 0.500823i
\(202\) 7.36622 + 3.27965i 0.518286 + 0.230756i
\(203\) 2.30718 + 0.324254i 0.161933 + 0.0227581i
\(204\) −11.4672 + 7.16549i −0.802864 + 0.501685i
\(205\) 2.82835 11.3439i 0.197540 0.792291i
\(206\) 11.1931 10.8090i 0.779857 0.753099i
\(207\) −4.58587 5.86964i −0.318740 0.407968i
\(208\) 6.16765 0.427650
\(209\) 6.93640 12.6841i 0.479801 0.877378i
\(210\) 11.2325 0.775116
\(211\) −13.7721 17.6274i −0.948108 1.21352i −0.976848 0.213936i \(-0.931372\pi\)
0.0287397 0.999587i \(-0.490851\pi\)
\(212\) 1.86877 1.80465i 0.128347 0.123944i
\(213\) 3.81173 15.2880i 0.261176 1.04752i
\(214\) 4.54968 2.84296i 0.311010 0.194340i
\(215\) 1.69650 + 0.238427i 0.115700 + 0.0162606i
\(216\) 0.354387 + 0.157783i 0.0241130 + 0.0107358i
\(217\) 12.8462 5.71949i 0.872055 0.388264i
\(218\) −0.0699345 + 2.00266i −0.00473656 + 0.135637i
\(219\) 10.6662 + 3.88219i 0.720756 + 0.262334i
\(220\) 10.3536 + 4.93242i 0.698040 + 0.332543i
\(221\) −17.2560 29.8882i −1.16076 2.01050i
\(222\) −0.245121 + 0.130333i −0.0164514 + 0.00874738i
\(223\) −6.20074 24.8698i −0.415232 1.66540i −0.705693 0.708518i \(-0.749364\pi\)
0.290461 0.956887i \(-0.406191\pi\)
\(224\) 0.325204 1.30432i 0.0217286 0.0871486i
\(225\) −17.4417 9.27391i −1.16278 0.618260i
\(226\) 0.0425772 + 1.21925i 0.00283220 + 0.0811035i
\(227\) 1.46441 1.06396i 0.0971964 0.0706173i −0.538126 0.842865i \(-0.680867\pi\)
0.635322 + 0.772247i \(0.280867\pi\)
\(228\) 7.42218 + 7.47403i 0.491546 + 0.494980i
\(229\) −2.66850 8.21281i −0.176340 0.542718i 0.823352 0.567530i \(-0.192101\pi\)
−0.999692 + 0.0248126i \(0.992101\pi\)
\(230\) −8.52389 + 3.10244i −0.562048 + 0.204569i
\(231\) −4.29132 + 9.88212i −0.282348 + 0.650196i
\(232\) −1.32771 + 1.11408i −0.0871684 + 0.0731430i
\(233\) 0.209974 0.519705i 0.0137559 0.0340470i −0.920150 0.391567i \(-0.871933\pi\)
0.933906 + 0.357520i \(0.116378\pi\)
\(234\) 7.67713 15.7405i 0.501870 1.02899i
\(235\) −5.96828 2.65725i −0.389328 0.173340i
\(236\) −7.59752 8.43790i −0.494556 0.549260i
\(237\) 19.6769 25.1853i 1.27815 1.63596i
\(238\) −7.23056 + 2.07333i −0.468687 + 0.134394i
\(239\) −19.4690 + 8.66814i −1.25934 + 0.560695i −0.924357 0.381528i \(-0.875398\pi\)
−0.334985 + 0.942223i \(0.608731\pi\)
\(240\) −5.59123 + 6.20969i −0.360912 + 0.400833i
\(241\) 3.43863 + 19.5014i 0.221502 + 1.25620i 0.869261 + 0.494354i \(0.164595\pi\)
−0.647759 + 0.761845i \(0.724294\pi\)
\(242\) −8.29498 + 7.22449i −0.533222 + 0.464408i
\(243\) 16.6126 13.9396i 1.06570 0.894228i
\(244\) 9.87071 1.38724i 0.631907 0.0888088i
\(245\) −17.2611 4.94954i −1.10277 0.316215i
\(246\) −6.60986 + 4.80235i −0.421429 + 0.306186i
\(247\) −19.7256 + 18.2664i −1.25511 + 1.16226i
\(248\) −3.23255 + 9.94878i −0.205267 + 0.631748i
\(249\) −7.03716 + 10.4330i −0.445962 + 0.661166i
\(250\) −4.86760 + 4.70058i −0.307854 + 0.297291i
\(251\) 14.9240 + 9.32554i 0.941994 + 0.588623i 0.911673 0.410917i \(-0.134791\pi\)
0.0303212 + 0.999540i \(0.490347\pi\)
\(252\) −2.92396 2.45349i −0.184192 0.154556i
\(253\) 0.527042 8.68441i 0.0331349 0.545984i
\(254\) −7.75320 13.4289i −0.486479 0.842607i
\(255\) 45.7352 + 9.72131i 2.86405 + 0.608772i
\(256\) 0.559193 + 0.829038i 0.0349496 + 0.0518148i
\(257\) 7.03027 2.01590i 0.438536 0.125748i −0.0491027 0.998794i \(-0.515636\pi\)
0.487639 + 0.873046i \(0.337858\pi\)
\(258\) −0.801104 0.889716i −0.0498745 0.0553913i
\(259\) −0.151058 + 0.0321083i −0.00938628 + 0.00199511i
\(260\) −15.3413 14.8150i −0.951430 0.918785i
\(261\) 1.19059 + 4.77519i 0.0736955 + 0.295577i
\(262\) −16.3125 10.1932i −1.00779 0.629737i
\(263\) 0.355862 2.01819i 0.0219434 0.124447i −0.971868 0.235525i \(-0.924319\pi\)
0.993812 + 0.111078i \(0.0354302\pi\)
\(264\) −3.32706 7.29142i −0.204766 0.448756i
\(265\) −8.98318 −0.551832
\(266\) 2.82286 + 5.13465i 0.173081 + 0.314826i
\(267\) −14.0961 10.2414i −0.862670 0.626766i
\(268\) −4.03965 + 5.98903i −0.246761 + 0.365838i
\(269\) −18.3537 9.75881i −1.11904 0.595005i −0.196347 0.980535i \(-0.562908\pi\)
−0.922696 + 0.385529i \(0.874019\pi\)
\(270\) −0.502496 1.24372i −0.0305809 0.0756904i
\(271\) −0.358202 0.0250479i −0.0217592 0.00152155i 0.0588727 0.998265i \(-0.481249\pi\)
−0.0806319 + 0.996744i \(0.525694\pi\)
\(272\) 2.45297 5.02933i 0.148733 0.304948i
\(273\) 13.4060 14.8888i 0.811365 0.901113i
\(274\) 10.5830 18.3302i 0.639340 1.10737i
\(275\) −8.09071 21.6085i −0.487888 1.30304i
\(276\) 5.95683 + 2.16811i 0.358559 + 0.130505i
\(277\) −5.92142 1.25864i −0.355783 0.0756241i 0.0265527 0.999647i \(-0.491547\pi\)
−0.382336 + 0.924023i \(0.624880\pi\)
\(278\) −1.81042 + 17.2249i −0.108581 + 1.03308i
\(279\) 21.3666 + 20.6334i 1.27918 + 1.23529i
\(280\) −3.94194 + 2.46320i −0.235576 + 0.147204i
\(281\) 0.703857 + 1.74211i 0.0419886 + 0.103925i 0.946721 0.322055i \(-0.104374\pi\)
−0.904732 + 0.425981i \(0.859929\pi\)
\(282\) 2.00142 + 4.10352i 0.119183 + 0.244361i
\(283\) 3.59150 + 1.02985i 0.213492 + 0.0612180i 0.380679 0.924707i \(-0.375690\pi\)
−0.167186 + 0.985925i \(0.553468\pi\)
\(284\) 2.01485 + 6.20108i 0.119559 + 0.367966i
\(285\) −0.508888 36.4192i −0.0301439 2.15729i
\(286\) 18.8950 7.83702i 1.11728 0.463413i
\(287\) −4.27085 + 1.55446i −0.252100 + 0.0917570i
\(288\) 2.81183 0.395178i 0.165689 0.0232861i
\(289\) −14.2763 + 0.998298i −0.839784 + 0.0587234i
\(290\) 5.97860 + 0.418065i 0.351076 + 0.0245496i
\(291\) 18.1416 + 2.54963i 1.06348 + 0.149462i
\(292\) −4.59454 + 0.976600i −0.268875 + 0.0571512i
\(293\) 1.68339 + 16.0163i 0.0983444 + 0.935685i 0.926781 + 0.375602i \(0.122564\pi\)
−0.828437 + 0.560083i \(0.810769\pi\)
\(294\) 7.01723 + 10.4035i 0.409253 + 0.606743i
\(295\) −1.37022 + 39.2379i −0.0797771 + 2.28452i
\(296\) 0.0574419 0.0994922i 0.00333874 0.00578287i
\(297\) 1.28618 + 0.0330715i 0.0746315 + 0.00191900i
\(298\) 2.78620 + 15.8013i 0.161400 + 0.915347i
\(299\) −6.06091 + 15.0013i −0.350511 + 0.867546i
\(300\) 16.7704 1.17270i 0.968241 0.0677060i
\(301\) −0.291953 0.598593i −0.0168279 0.0345023i
\(302\) −0.275820 7.89844i −0.0158716 0.454504i
\(303\) −6.02121 + 18.5314i −0.345909 + 1.06460i
\(304\) −4.24374 0.995318i −0.243395 0.0570854i
\(305\) −27.8845 20.2593i −1.59666 1.16004i
\(306\) −9.78202 12.5204i −0.559201 0.715745i
\(307\) 0.661526 3.75170i 0.0377553 0.214121i −0.960093 0.279680i \(-0.909772\pi\)
0.997849 + 0.0655585i \(0.0208829\pi\)
\(308\) −0.661073 4.40909i −0.0376682 0.251231i
\(309\) 28.8041 + 24.1695i 1.63861 + 1.37496i
\(310\) 31.9380 16.9817i 1.81396 0.964498i
\(311\) −0.433085 + 4.12052i −0.0245580 + 0.233654i 0.975357 + 0.220632i \(0.0708118\pi\)
−0.999915 + 0.0130220i \(0.995855\pi\)
\(312\) 1.55791 + 14.8225i 0.0881990 + 0.839158i
\(313\) −8.48570 + 10.8612i −0.479640 + 0.613911i −0.965588 0.260076i \(-0.916252\pi\)
0.485948 + 0.873988i \(0.338474\pi\)
\(314\) −5.47842 + 7.01206i −0.309165 + 0.395713i
\(315\) 1.37963 + 13.1263i 0.0777331 + 0.739581i
\(316\) −1.38250 + 13.1536i −0.0777714 + 0.739946i
\(317\) −24.8185 + 13.1962i −1.39395 + 0.741175i −0.985190 0.171468i \(-0.945149\pi\)
−0.408757 + 0.912643i \(0.634038\pi\)
\(318\) 4.80907 + 4.03529i 0.269679 + 0.226288i
\(319\) −2.65190 + 5.10013i −0.148478 + 0.285553i
\(320\) 0.600454 3.40534i 0.0335664 0.190365i
\(321\) 7.98158 + 10.2160i 0.445489 + 0.570199i
\(322\) 2.85286 + 2.07272i 0.158984 + 0.115508i
\(323\) 7.04995 + 23.3497i 0.392270 + 1.29921i
\(324\) −2.92201 + 8.99302i −0.162334 + 0.499612i
\(325\) 1.49746 + 42.8817i 0.0830642 + 2.37865i
\(326\) 2.80103 + 5.74296i 0.155135 + 0.318073i
\(327\) −4.83058 + 0.337787i −0.267132 + 0.0186797i
\(328\) 1.26655 3.13483i 0.0699337 0.173092i
\(329\) 0.441022 + 2.50116i 0.0243143 + 0.137893i
\(330\) −9.23863 + 26.1283i −0.508570 + 1.43832i
\(331\) 4.71208 8.16157i 0.259000 0.448600i −0.706975 0.707239i \(-0.749940\pi\)
0.965974 + 0.258638i \(0.0832738\pi\)
\(332\) 0.181747 5.20456i 0.00997468 0.285638i
\(333\) −0.182414 0.270439i −0.00999620 0.0148200i
\(334\) −0.458068 4.35822i −0.0250643 0.238471i
\(335\) 24.4341 5.19362i 1.33498 0.283758i
\(336\) 3.21677 + 0.452087i 0.175489 + 0.0246634i
\(337\) 0.979921 + 0.0685227i 0.0533797 + 0.00373267i 0.0964213 0.995341i \(-0.469260\pi\)
−0.0430417 + 0.999073i \(0.513705\pi\)
\(338\) −24.9790 + 1.74670i −1.35868 + 0.0950079i
\(339\) −2.91943 + 0.410299i −0.158562 + 0.0222844i
\(340\) −18.1821 + 6.61776i −0.986065 + 0.358898i
\(341\) 2.73844 + 34.5862i 0.148295 + 1.87295i
\(342\) −7.82251 + 9.59153i −0.422993 + 0.518650i
\(343\) 5.06492 + 15.5882i 0.273480 + 0.841685i
\(344\) 0.476248 + 0.136562i 0.0256775 + 0.00736292i
\(345\) −9.60905 19.7015i −0.517334 1.06069i
\(346\) 6.81210 + 16.8605i 0.366221 + 0.906428i
\(347\) 4.53525 2.83394i 0.243465 0.152134i −0.402699 0.915333i \(-0.631928\pi\)
0.646164 + 0.763199i \(0.276372\pi\)
\(348\) −3.01280 2.90943i −0.161503 0.155962i
\(349\) −3.38839 + 32.2384i −0.181377 + 1.72568i 0.403861 + 0.914820i \(0.367668\pi\)
−0.585238 + 0.810862i \(0.698999\pi\)
\(350\) 9.14747 + 1.94436i 0.488953 + 0.103930i
\(351\) −2.24829 0.818312i −0.120005 0.0436783i
\(352\) 2.76655 + 1.82926i 0.147458 + 0.0974999i
\(353\) −8.32083 + 14.4121i −0.442873 + 0.767079i −0.997901 0.0647526i \(-0.979374\pi\)
0.555028 + 0.831832i \(0.312707\pi\)
\(354\) 18.3594 20.3902i 0.975791 1.08373i
\(355\) 9.88354 20.2643i 0.524564 1.07551i
\(356\) 7.19278 + 0.502968i 0.381217 + 0.0266573i
\(357\) −6.80914 16.8532i −0.360378 0.891966i
\(358\) 16.5144 + 8.78088i 0.872815 + 0.464084i
\(359\) −1.46259 + 2.16838i −0.0771924 + 0.114442i −0.865657 0.500638i \(-0.833099\pi\)
0.788464 + 0.615081i \(0.210877\pi\)
\(360\) −7.94336 5.77119i −0.418652 0.304168i
\(361\) 16.5202 9.38521i 0.869486 0.493958i
\(362\) 11.9497 0.628062
\(363\) −19.4576 18.1102i −1.02126 0.950536i
\(364\) −1.43970 + 8.16492i −0.0754605 + 0.427958i
\(365\) 13.7742 + 8.60711i 0.720977 + 0.450516i
\(366\) 5.82716 + 23.3715i 0.304591 + 1.22165i
\(367\) −23.0735 22.2818i −1.20443 1.16310i −0.982146 0.188119i \(-0.939761\pi\)
−0.222281 0.974983i \(-0.571350\pi\)
\(368\) −2.56594 + 0.545408i −0.133759 + 0.0284313i
\(369\) −6.42386 7.13442i −0.334413 0.371403i
\(370\) −0.381865 + 0.109498i −0.0198522 + 0.00569253i
\(371\) 1.95282 + 2.89518i 0.101385 + 0.150310i
\(372\) −24.7260 5.25568i −1.28199 0.272494i
\(373\) −5.55153 9.61552i −0.287447 0.497873i 0.685753 0.727835i \(-0.259473\pi\)
−0.973200 + 0.229962i \(0.926140\pi\)
\(374\) 1.12422 18.5246i 0.0581323 0.957882i
\(375\) −12.5263 10.5108i −0.646853 0.542774i
\(376\) −1.60225 1.00120i −0.0826297 0.0516328i
\(377\) 7.68959 7.42575i 0.396034 0.382446i
\(378\) −0.291601 + 0.432317i −0.0149984 + 0.0222360i
\(379\) 2.89114 8.89801i 0.148508 0.457060i −0.848938 0.528493i \(-0.822757\pi\)
0.997445 + 0.0714330i \(0.0227572\pi\)
\(380\) 8.16504 + 12.6694i 0.418858 + 0.649926i
\(381\) 30.3148 22.0250i 1.55308 1.12838i
\(382\) −21.2700 6.09908i −1.08827 0.312056i
\(383\) 4.13677 0.581384i 0.211379 0.0297074i −0.0326888 0.999466i \(-0.510407\pi\)
0.244068 + 0.969758i \(0.421518\pi\)
\(384\) −1.85115 + 1.55330i −0.0944659 + 0.0792663i
\(385\) −8.94648 + 12.5551i −0.455955 + 0.639865i
\(386\) 3.49706 + 19.8328i 0.177995 + 1.00946i
\(387\) 0.941324 1.04545i 0.0478502 0.0531430i
\(388\) −6.92573 + 3.08354i −0.351601 + 0.156543i
\(389\) 17.3366 4.97118i 0.878998 0.252049i 0.194359 0.980931i \(-0.437737\pi\)
0.684639 + 0.728882i \(0.259960\pi\)
\(390\) 31.7291 40.6114i 1.60667 2.05644i
\(391\) 9.82207 + 10.9085i 0.496723 + 0.551667i
\(392\) −4.74403 2.11218i −0.239610 0.106681i
\(393\) 20.3764 41.7779i 1.02786 2.10742i
\(394\) 3.07628 7.61406i 0.154981 0.383591i
\(395\) 35.0342 29.3972i 1.76276 1.47913i
\(396\) 8.11209 4.78355i 0.407648 0.240383i
\(397\) −5.03506 + 1.83261i −0.252702 + 0.0919761i −0.465265 0.885171i \(-0.654041\pi\)
0.212563 + 0.977147i \(0.431819\pi\)
\(398\) 2.47141 + 7.60622i 0.123881 + 0.381265i
\(399\) −11.6269 + 8.08105i −0.582072 + 0.404559i
\(400\) −5.62826 + 4.08917i −0.281413 + 0.204458i
\(401\) −0.576477 16.5081i −0.0287879 0.824377i −0.924824 0.380396i \(-0.875788\pi\)
0.896036 0.443982i \(-0.146434\pi\)
\(402\) −15.4136 8.19555i −0.768760 0.408757i
\(403\) 15.6084 62.6019i 0.777510 3.11842i
\(404\) −1.95070 7.82382i −0.0970508 0.389250i
\(405\) 28.8698 15.3503i 1.43455 0.762765i
\(406\) −1.16493 2.01772i −0.0578145 0.100138i
\(407\) 0.0495554 0.377790i 0.00245637 0.0187264i
\(408\) 12.7064 + 4.62475i 0.629060 + 0.228959i
\(409\) 0.945630 27.0793i 0.0467584 1.33899i −0.718619 0.695404i \(-0.755225\pi\)
0.765377 0.643582i \(-0.222552\pi\)
\(410\) −10.6804 + 4.75522i −0.527468 + 0.234844i
\(411\) 46.7255 + 20.8035i 2.30480 + 1.02616i
\(412\) −15.4087 2.16556i −0.759134 0.106689i
\(413\) 12.9438 8.08818i 0.636922 0.397993i
\(414\) −1.80200 + 7.22742i −0.0885634 + 0.355209i
\(415\) −12.9537 + 12.5092i −0.635870 + 0.614053i
\(416\) −3.79719 4.86018i −0.186172 0.238290i
\(417\) −41.8534 −2.04957
\(418\) −14.2657 + 2.34316i −0.697757 + 0.114608i
\(419\) −2.97097 −0.145141 −0.0725706 0.997363i \(-0.523120\pi\)
−0.0725706 + 0.997363i \(0.523120\pi\)
\(420\) −6.91542 8.85133i −0.337438 0.431901i
\(421\) −25.0601 + 24.2003i −1.22136 + 1.17945i −0.243560 + 0.969886i \(0.578315\pi\)
−0.977795 + 0.209563i \(0.932796\pi\)
\(422\) −5.41168 + 21.7051i −0.263437 + 1.05659i
\(423\) −4.54954 + 2.84287i −0.221206 + 0.138225i
\(424\) −2.57261 0.361556i −0.124937 0.0175587i
\(425\) 35.5628 + 15.8336i 1.72505 + 0.768042i
\(426\) −14.3939 + 6.40857i −0.697385 + 0.310496i
\(427\) −0.467622 + 13.3909i −0.0226298 + 0.648033i
\(428\) −5.04134 1.83490i −0.243683 0.0886932i
\(429\) 23.6072 + 43.4300i 1.13976 + 2.09682i
\(430\) −0.856585 1.48365i −0.0413082 0.0715479i
\(431\) 0.672675 0.357668i 0.0324016 0.0172283i −0.453192 0.891413i \(-0.649715\pi\)
0.485593 + 0.874185i \(0.338604\pi\)
\(432\) −0.0938475 0.376402i −0.00451524 0.0181096i
\(433\) −3.73507 + 14.9805i −0.179496 + 0.719918i 0.811309 + 0.584618i \(0.198756\pi\)
−0.990805 + 0.135301i \(0.956800\pi\)
\(434\) −12.4159 6.60166i −0.595983 0.316890i
\(435\) 0.505434 + 14.4737i 0.0242337 + 0.693963i
\(436\) 1.62117 1.17785i 0.0776402 0.0564089i
\(437\) 6.59116 9.34375i 0.315298 0.446972i
\(438\) −3.50757 10.7952i −0.167598 0.515815i
\(439\) −13.2169 + 4.81057i −0.630810 + 0.229596i −0.637584 0.770381i \(-0.720066\pi\)
0.00677392 + 0.999977i \(0.497844\pi\)
\(440\) −2.48752 11.1955i −0.118588 0.533722i
\(441\) −11.2956 + 9.47812i −0.537885 + 0.451339i
\(442\) −12.9284 + 31.9989i −0.614942 + 1.52203i
\(443\) −5.73164 + 11.7516i −0.272318 + 0.558335i −0.990499 0.137522i \(-0.956086\pi\)
0.718181 + 0.695857i \(0.244975\pi\)
\(444\) 0.253615 + 0.112917i 0.0120360 + 0.00535879i
\(445\) −16.6831 18.5284i −0.790854 0.878332i
\(446\) −15.7801 + 20.1976i −0.747210 + 0.956385i
\(447\) −37.2710 + 10.6873i −1.76286 + 0.505491i
\(448\) −1.22803 + 0.546756i −0.0580192 + 0.0258318i
\(449\) 21.8679 24.2868i 1.03201 1.14616i 0.0428862 0.999080i \(-0.486345\pi\)
0.989124 0.147084i \(-0.0469886\pi\)
\(450\) 3.43023 + 19.4538i 0.161703 + 0.917062i
\(451\) −0.103154 11.2131i −0.00485735 0.528005i
\(452\) 0.934571 0.784198i 0.0439585 0.0368856i
\(453\) 18.9124 2.65796i 0.888580 0.124882i
\(454\) −1.73999 0.498934i −0.0816618 0.0234162i
\(455\) 23.1936 16.8511i 1.08733 0.789992i
\(456\) 1.32007 10.4502i 0.0618179 0.489377i
\(457\) 5.76631 17.7469i 0.269737 0.830165i −0.720827 0.693115i \(-0.756238\pi\)
0.990564 0.137050i \(-0.0437621\pi\)
\(458\) −4.82889 + 7.15912i −0.225639 + 0.334524i
\(459\) −1.56146 + 1.50789i −0.0728828 + 0.0703821i
\(460\) 7.69259 + 4.80686i 0.358669 + 0.224121i
\(461\) −13.4691 11.3019i −0.627320 0.526384i 0.272775 0.962078i \(-0.412059\pi\)
−0.900095 + 0.435694i \(0.856503\pi\)
\(462\) 10.4292 2.70244i 0.485211 0.125729i
\(463\) −1.80647 3.12890i −0.0839539 0.145412i 0.820991 0.570941i \(-0.193422\pi\)
−0.904945 + 0.425529i \(0.860088\pi\)
\(464\) 1.69533 + 0.360353i 0.0787036 + 0.0167290i
\(465\) 48.8789 + 72.4659i 2.26670 + 3.36053i
\(466\) −0.538806 + 0.154500i −0.0249597 + 0.00715708i
\(467\) 4.02154 + 4.46638i 0.186095 + 0.206679i 0.828972 0.559290i \(-0.188926\pi\)
−0.642877 + 0.765969i \(0.722259\pi\)
\(468\) −17.1302 + 3.64113i −0.791842 + 0.168311i
\(469\) −6.98548 6.74580i −0.322560 0.311492i
\(470\) 1.58050 + 6.33904i 0.0729030 + 0.292398i
\(471\) −18.2356 11.3949i −0.840253 0.525048i
\(472\) −1.97166 + 11.1818i −0.0907528 + 0.514685i
\(473\) 1.63254 0.186786i 0.0750642 0.00858842i
\(474\) −31.9607 −1.46800
\(475\) 5.88977 29.7470i 0.270241 1.36489i
\(476\) 6.08538 + 4.42129i 0.278923 + 0.202649i
\(477\) −4.12496 + 6.11550i −0.188869 + 0.280009i
\(478\) 18.8169 + 10.0051i 0.860664 + 0.457623i
\(479\) −7.99277 19.7828i −0.365199 0.903899i −0.992174 0.124860i \(-0.960152\pi\)
0.626975 0.779039i \(-0.284293\pi\)
\(480\) 8.33560 + 0.582882i 0.380466 + 0.0266048i
\(481\) −0.310614 + 0.636852i −0.0141628 + 0.0290380i
\(482\) 13.2503 14.7160i 0.603535 0.670294i
\(483\) −4.26068 + 7.37972i −0.193868 + 0.335789i
\(484\) 10.7999 + 2.08869i 0.490904 + 0.0949406i
\(485\) 24.6338 + 8.96596i 1.11856 + 0.407123i
\(486\) −21.2123 4.50882i −0.962210 0.204524i
\(487\) 1.61080 15.3257i 0.0729922 0.694475i −0.895437 0.445188i \(-0.853137\pi\)
0.968430 0.249287i \(-0.0801963\pi\)
\(488\) −7.17017 6.92415i −0.324578 0.313442i
\(489\) −13.0943 + 8.18224i −0.592146 + 0.370014i
\(490\) 6.72670 + 16.6492i 0.303882 + 0.752133i
\(491\) −8.84305 18.1309i −0.399081 0.818238i −0.999823 0.0187948i \(-0.994017\pi\)
0.600742 0.799443i \(-0.294872\pi\)
\(492\) 7.85374 + 2.25202i 0.354074 + 0.101529i
\(493\) −2.99696 9.22370i −0.134976 0.415415i
\(494\) 26.5384 + 4.29802i 1.19402 + 0.193377i
\(495\) −31.6682 7.58704i −1.42338 0.341012i
\(496\) 9.82990 3.57779i 0.441376 0.160648i
\(497\) −8.67948 + 1.21982i −0.389328 + 0.0547165i
\(498\) 12.5538 0.877850i 0.562551 0.0393374i
\(499\) −9.71143 0.679090i −0.434743 0.0304002i −0.149291 0.988793i \(-0.547699\pi\)
−0.285452 + 0.958393i \(0.592144\pi\)
\(500\) 6.70090 + 0.941751i 0.299673 + 0.0421164i
\(501\) 10.3582 2.20171i 0.462772 0.0983653i
\(502\) −1.83950 17.5016i −0.0821008 0.781137i
\(503\) 14.3003 + 21.2011i 0.637619 + 0.945308i 0.999912 + 0.0132444i \(0.00421596\pi\)
−0.362294 + 0.932064i \(0.618006\pi\)
\(504\) −0.133210 + 3.81463i −0.00593364 + 0.169917i
\(505\) −13.9410 + 24.1465i −0.620367 + 1.07451i
\(506\) −7.16789 + 4.93134i −0.318652 + 0.219225i
\(507\) −10.5073 59.5898i −0.466645 2.64647i
\(508\) −5.80880 + 14.3773i −0.257724 + 0.637889i
\(509\) 10.0387 0.701974i 0.444957 0.0311144i 0.154479 0.987996i \(-0.450630\pi\)
0.290478 + 0.956882i \(0.406186\pi\)
\(510\) −20.4969 42.0248i −0.907617 1.86089i
\(511\) −0.220362 6.31035i −0.00974826 0.279154i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) 1.41491 + 0.925875i 0.0624700 + 0.0408784i
\(514\) −5.91681 4.29881i −0.260979 0.189613i
\(515\) 33.1258 + 42.3990i 1.45970 + 1.86832i
\(516\) −0.207897 + 1.17904i −0.00915215 + 0.0519044i
\(517\) −6.18078 1.03131i −0.271830 0.0453568i
\(518\) 0.118302 + 0.0992673i 0.00519790 + 0.00436156i
\(519\) −38.7996 + 20.6301i −1.70311 + 0.905561i
\(520\) −2.22928 + 21.2102i −0.0977603 + 0.930127i
\(521\) −1.57677 15.0020i −0.0690796 0.657248i −0.973198 0.229967i \(-0.926138\pi\)
0.904119 0.427281i \(-0.140529\pi\)
\(522\) 3.02990 3.87810i 0.132615 0.169740i
\(523\) 21.0174 26.9011i 0.919028 1.17630i −0.0649278 0.997890i \(-0.520682\pi\)
0.983956 0.178412i \(-0.0570961\pi\)
\(524\) 2.01064 + 19.1300i 0.0878352 + 0.835696i
\(525\) −2.36221 + 22.4749i −0.103095 + 0.980885i
\(526\) −1.80945 + 0.962101i −0.0788957 + 0.0419496i
\(527\) −44.8402 37.6254i −1.95327 1.63899i
\(528\) −3.69738 + 7.11080i −0.160908 + 0.309458i
\(529\) −2.79894 + 15.8736i −0.121693 + 0.690156i
\(530\) 5.53060 + 7.07884i 0.240234 + 0.307485i
\(531\) 26.0829 + 18.9503i 1.13190 + 0.822374i
\(532\) 2.30823 5.38565i 0.100075 0.233498i
\(533\) −6.44392 + 19.8324i −0.279117 + 0.859035i
\(534\) 0.608081 + 17.4132i 0.0263143 + 0.753542i
\(535\) 8.13227 + 16.6736i 0.351589 + 0.720864i
\(536\) 7.20647 0.503926i 0.311272 0.0217663i
\(537\) −16.9313 + 41.9065i −0.730641 + 1.80840i
\(538\) 3.60959 + 20.4710i 0.155621 + 0.882568i
\(539\) −17.2175 0.442715i −0.741611 0.0190691i
\(540\) −0.670698 + 1.16168i −0.0288622 + 0.0499909i
\(541\) 1.50631 43.1351i 0.0647613 1.85452i −0.340405 0.940279i \(-0.610564\pi\)
0.405166 0.914243i \(-0.367214\pi\)
\(542\) 0.200793 + 0.297688i 0.00862481 + 0.0127868i
\(543\) 3.01841 + 28.7182i 0.129532 + 1.23242i
\(544\) −5.47336 + 1.16340i −0.234668 + 0.0498803i
\(545\) −6.86174 0.964355i −0.293925 0.0413084i
\(546\) −19.9861 1.39756i −0.855325 0.0598102i
\(547\) −24.6142 + 1.72119i −1.05243 + 0.0735927i −0.585475 0.810691i \(-0.699092\pi\)
−0.466951 + 0.884283i \(0.654647\pi\)
\(548\) −20.9599 + 2.94573i −0.895364 + 0.125835i
\(549\) −26.5961 + 9.68020i −1.13509 + 0.413141i
\(550\) −12.0466 + 19.6791i −0.513667 + 0.839118i
\(551\) −6.48928 + 3.86847i −0.276453 + 0.164802i
\(552\) −1.95890 6.02886i −0.0833762 0.256605i
\(553\) −17.0904 4.90058i −0.726756 0.208394i
\(554\) 2.65377 + 5.44103i 0.112748 + 0.231167i
\(555\) −0.359609 0.890063i −0.0152645 0.0377811i
\(556\) 14.6880 9.17811i 0.622912 0.389239i
\(557\) 25.1011 + 24.2398i 1.06357 + 1.02707i 0.999576 + 0.0291242i \(0.00927183\pi\)
0.0639911 + 0.997950i \(0.479617\pi\)
\(558\) 3.10481 29.5403i 0.131437 1.25054i
\(559\) −2.98893 0.635316i −0.126418 0.0268710i
\(560\) 4.36793 + 1.58980i 0.184579 + 0.0671812i
\(561\) 44.8033 1.97737i 1.89160 0.0834845i
\(562\) 0.939462 1.62720i 0.0396288 0.0686391i
\(563\) −6.85459 + 7.61280i −0.288887 + 0.320841i −0.870067 0.492934i \(-0.835924\pi\)
0.581180 + 0.813775i \(0.302591\pi\)
\(564\) 2.00142 4.10352i 0.0842750 0.172789i
\(565\) −4.20832 0.294274i −0.177045 0.0123802i
\(566\) −1.39962 3.46418i −0.0588303 0.145610i
\(567\) −11.2231 5.96745i −0.471328 0.250609i
\(568\) 3.64605 5.40549i 0.152985 0.226809i
\(569\) 14.1472 + 10.2785i 0.593080 + 0.430898i 0.843416 0.537261i \(-0.180541\pi\)
−0.250336 + 0.968159i \(0.580541\pi\)
\(570\) −28.3854 + 22.8229i −1.18893 + 0.955947i
\(571\) 36.9866 1.54784 0.773920 0.633283i \(-0.218293\pi\)
0.773920 + 0.633283i \(0.218293\pi\)
\(572\) −17.8086 10.0645i −0.744614 0.420818i
\(573\) 9.28502 52.6580i 0.387887 2.19982i
\(574\) 3.85433 + 2.40845i 0.160877 + 0.100527i
\(575\) −4.41503 17.7077i −0.184120 0.738463i
\(576\) −2.04254 1.97246i −0.0851059 0.0821859i
\(577\) 13.3693 2.84174i 0.556573 0.118303i 0.0789667 0.996877i \(-0.474838\pi\)
0.477606 + 0.878574i \(0.341505\pi\)
\(578\) 9.57605 + 10.6353i 0.398311 + 0.442369i
\(579\) −46.7801 + 13.4140i −1.94411 + 0.557465i
\(580\) −3.35135 4.96859i −0.139157 0.206309i
\(581\) 6.84753 + 1.45549i 0.284083 + 0.0603838i
\(582\) −9.15993 15.8655i −0.379691 0.657645i
\(583\) −8.34076 + 2.16127i −0.345439 + 0.0895107i
\(584\) 3.59825 + 3.01929i 0.148897 + 0.124939i
\(585\) 51.3555 + 32.0905i 2.12329 + 1.32678i
\(586\) 11.5847 11.1872i 0.478558 0.462138i
\(587\) −0.711998 + 1.05558i −0.0293873 + 0.0435685i −0.843445 0.537216i \(-0.819476\pi\)
0.814058 + 0.580784i \(0.197254\pi\)
\(588\) 3.87781 11.9347i 0.159918 0.492178i
\(589\) −20.8421 + 40.5553i −0.858784 + 1.67105i
\(590\) 31.7635 23.0775i 1.30768 0.950086i
\(591\) 19.0756 + 5.46984i 0.784666 + 0.224999i
\(592\) −0.113766 + 0.0159887i −0.00467574 + 0.000657133i
\(593\) −1.39218 + 1.16818i −0.0571701 + 0.0479714i −0.670925 0.741525i \(-0.734103\pi\)
0.613755 + 0.789497i \(0.289658\pi\)
\(594\) −0.765788 1.03388i −0.0314207 0.0424207i
\(595\) −4.51658 25.6148i −0.185162 1.05010i
\(596\) 10.7363 11.9238i 0.439775 0.488419i
\(597\) −17.6555 + 7.86073i −0.722591 + 0.321718i
\(598\) 15.5526 4.45965i 0.635995 0.182369i
\(599\) 16.8745 21.5984i 0.689473 0.882486i −0.308154 0.951337i \(-0.599711\pi\)
0.997627 + 0.0688510i \(0.0219333\pi\)
\(600\) −11.2490 12.4933i −0.459239 0.510036i
\(601\) −25.4863 11.3472i −1.03961 0.462864i −0.185329 0.982677i \(-0.559335\pi\)
−0.854280 + 0.519813i \(0.826002\pi\)
\(602\) −0.291953 + 0.598593i −0.0118991 + 0.0243968i
\(603\) 7.68413 19.0189i 0.312922 0.774509i
\(604\) −6.05425 + 5.08012i −0.246344 + 0.206707i
\(605\) −21.8464 31.1372i −0.888181 1.26591i
\(606\) 18.3100 6.66428i 0.743791 0.270718i
\(607\) 0.366902 + 1.12921i 0.0148921 + 0.0458331i 0.958226 0.286011i \(-0.0923293\pi\)
−0.943334 + 0.331844i \(0.892329\pi\)
\(608\) 1.82839 + 3.95689i 0.0741509 + 0.160473i
\(609\) 4.55485 3.30929i 0.184572 0.134099i
\(610\) 1.20288 + 34.4461i 0.0487034 + 1.39468i
\(611\) 10.2888 + 5.47065i 0.416240 + 0.221319i
\(612\) −3.84381 + 15.4167i −0.155377 + 0.623182i
\(613\) −2.48357 9.96105i −0.100310 0.402323i 0.899059 0.437827i \(-0.144252\pi\)
−0.999370 + 0.0355043i \(0.988696\pi\)
\(614\) −3.36366 + 1.78849i −0.135746 + 0.0721775i
\(615\) −14.1258 24.4667i −0.569609 0.986591i
\(616\) −3.06741 + 3.23544i −0.123590 + 0.130360i
\(617\) −26.4499 9.62698i −1.06483 0.387568i −0.250591 0.968093i \(-0.580625\pi\)
−0.814242 + 0.580525i \(0.802847\pi\)
\(618\) 1.31226 37.5782i 0.0527869 1.51162i
\(619\) 42.1381 18.7611i 1.69367 0.754072i 0.694265 0.719720i \(-0.255730\pi\)
0.999410 0.0343526i \(-0.0109369\pi\)
\(620\) −33.0448 14.7125i −1.32711 0.590868i
\(621\) 1.00773 + 0.141627i 0.0404387 + 0.00568328i
\(622\) 3.51365 2.19557i 0.140885 0.0880345i
\(623\) −2.34483 + 9.40460i −0.0939437 + 0.376787i
\(624\) 10.7211 10.3533i 0.429189 0.414463i
\(625\) 7.00989 + 8.97225i 0.280396 + 0.358890i
\(626\) 13.7831 0.550882
\(627\) −9.23463 33.6923i −0.368795 1.34554i
\(628\) 8.89843 0.355086
\(629\) 0.395777 + 0.506571i 0.0157807 + 0.0201983i
\(630\) 9.49426 9.16850i 0.378260 0.365282i
\(631\) −4.43982 + 17.8071i −0.176746 + 0.708891i 0.814867 + 0.579648i \(0.196810\pi\)
−0.991613 + 0.129243i \(0.958745\pi\)
\(632\) 11.2163 7.00872i 0.446160 0.278792i
\(633\) −53.5299 7.52314i −2.12762 0.299018i
\(634\) 25.6786 + 11.4328i 1.01983 + 0.454056i
\(635\) 48.9836 21.8089i 1.94385 0.865460i
\(636\) 0.219092 6.27397i 0.00868756 0.248779i
\(637\) 30.0970 + 10.9544i 1.19249 + 0.434030i
\(638\) 5.65163 1.05023i 0.223750 0.0415790i
\(639\) −9.25695 16.0335i −0.366199 0.634276i
\(640\) −3.05312 + 1.62337i −0.120685 + 0.0641695i
\(641\) −5.86889 23.5388i −0.231807 0.929727i −0.967593 0.252514i \(-0.918743\pi\)
0.735786 0.677214i \(-0.236813\pi\)
\(642\) 3.13633 12.5791i 0.123781 0.496459i
\(643\) −10.7803 5.73197i −0.425132 0.226047i 0.243097 0.970002i \(-0.421837\pi\)
−0.668230 + 0.743955i \(0.732948\pi\)
\(644\) −0.123067 3.52418i −0.00484952 0.138872i
\(645\) 3.34923 2.43336i 0.131876 0.0958134i
\(646\) 14.0595 19.9310i 0.553163 0.784174i
\(647\) 10.6373 + 32.7383i 0.418196 + 1.28708i 0.909360 + 0.416009i \(0.136572\pi\)
−0.491164 + 0.871067i \(0.663428\pi\)
\(648\) 8.88557 3.23408i 0.349058 0.127047i
\(649\) 8.16805 + 36.7615i 0.320624 + 1.44301i
\(650\) 32.8693 27.5806i 1.28924 1.08180i
\(651\) 12.7293 31.5062i 0.498902 1.23483i
\(652\) 2.80103 5.74296i 0.109697 0.224912i
\(653\) 25.0457 + 11.1511i 0.980113 + 0.436374i 0.833319 0.552793i \(-0.186438\pi\)
0.146794 + 0.989167i \(0.453104\pi\)
\(654\) 3.24018 + 3.59859i 0.126701 + 0.140716i
\(655\) 40.9498 52.4133i 1.60004 2.04796i
\(656\) −3.25005 + 0.931936i −0.126893 + 0.0363860i
\(657\) 12.1844 5.42486i 0.475360 0.211644i
\(658\) 1.69942 1.88740i 0.0662503 0.0735785i
\(659\) −0.406613 2.30602i −0.0158394 0.0898297i 0.975863 0.218382i \(-0.0700780\pi\)
−0.991703 + 0.128553i \(0.958967\pi\)
\(660\) 26.2773 8.80606i 1.02284 0.342776i
\(661\) −19.8990 + 16.6972i −0.773980 + 0.649446i −0.941725 0.336384i \(-0.890796\pi\)
0.167745 + 0.985830i \(0.446352\pi\)
\(662\) −9.33245 + 1.31159i −0.362716 + 0.0509764i
\(663\) −80.1674 22.9876i −3.11345 0.892766i
\(664\) −4.21315 + 3.06103i −0.163502 + 0.118791i
\(665\) −18.6780 + 7.85173i −0.724303 + 0.304477i
\(666\) −0.100804 + 0.310243i −0.00390608 + 0.0120217i
\(667\) −2.54246 + 3.76934i −0.0984443 + 0.145950i
\(668\) −3.15231 + 3.04415i −0.121967 + 0.117782i
\(669\) −52.5261 32.8220i −2.03078 1.26897i
\(670\) −19.1358 16.0568i −0.739279 0.620328i
\(671\) −30.7645 12.1017i −1.18765 0.467180i
\(672\) −1.62419 2.81318i −0.0626545 0.108521i
\(673\) −41.8164 8.88834i −1.61190 0.342620i −0.688137 0.725581i \(-0.741571\pi\)
−0.923765 + 0.382960i \(0.874905\pi\)
\(674\) −0.549303 0.814375i −0.0211584 0.0313685i
\(675\) 2.59421 0.743879i 0.0998513 0.0286319i
\(676\) 16.7550 + 18.6083i 0.644423 + 0.715704i
\(677\) 19.4697 4.13841i 0.748281 0.159052i 0.182039 0.983291i \(-0.441730\pi\)
0.566242 + 0.824239i \(0.308397\pi\)
\(678\) 2.12070 + 2.04793i 0.0814449 + 0.0786505i
\(679\) −2.46542 9.88826i −0.0946142 0.379477i
\(680\) 16.4089 + 10.2534i 0.629253 + 0.393201i
\(681\) 0.759560 4.30768i 0.0291064 0.165071i
\(682\) 25.5683 23.4513i 0.979062 0.897997i
\(683\) −32.7623 −1.25362 −0.626808 0.779174i \(-0.715639\pi\)
−0.626808 + 0.779174i \(0.715639\pi\)
\(684\) 12.3742 + 0.259086i 0.473141 + 0.00990638i
\(685\) 59.2113 + 43.0195i 2.26235 + 1.64369i
\(686\) 9.16542 13.5883i 0.349937 0.518803i
\(687\) −18.4250 9.79674i −0.702957 0.373769i
\(688\) −0.185595 0.459364i −0.00707575 0.0175131i
\(689\) 15.9839 + 1.11770i 0.608936 + 0.0425810i
\(690\) −9.60905 + 19.7015i −0.365810 + 0.750022i
\(691\) −7.56381 + 8.40046i −0.287741 + 0.319569i −0.869634 0.493696i \(-0.835645\pi\)
0.581893 + 0.813265i \(0.302312\pi\)
\(692\) 9.09234 15.7484i 0.345639 0.598664i
\(693\) 4.43902 + 11.8556i 0.168625 + 0.450358i
\(694\) −5.02536 1.82908i −0.190760 0.0694309i
\(695\) −58.5811 12.4518i −2.22211 0.472324i
\(696\) −0.437795 + 4.16534i −0.0165946 + 0.157887i
\(697\) 13.6092 + 13.1422i 0.515484 + 0.497798i
\(698\) 27.4903 17.1779i 1.04052 0.650191i
\(699\) −0.507403 1.25587i −0.0191917 0.0475012i
\(700\) −4.09957 8.40537i −0.154949 0.317693i
\(701\) 19.7689 + 5.66863i 0.746660 + 0.214101i 0.627330 0.778753i \(-0.284148\pi\)
0.119330 + 0.992855i \(0.461925\pi\)
\(702\) 0.739350 + 2.27548i 0.0279050 + 0.0858826i
\(703\) 0.316495 0.388069i 0.0119369 0.0146363i
\(704\) −0.261782 3.30628i −0.00986627 0.124610i
\(705\) −14.8351 + 5.39955i −0.558724 + 0.203359i
\(706\) 16.4797 2.31607i 0.620222 0.0871665i
\(707\) 10.8127 0.756100i 0.406655 0.0284361i
\(708\) −27.3708 1.91396i −1.02866 0.0719309i
\(709\) −19.5991 2.75447i −0.736060 0.103446i −0.238825 0.971063i \(-0.576762\pi\)
−0.497235 + 0.867616i \(0.665651\pi\)
\(710\) −22.0534 + 4.68759i −0.827648 + 0.175922i
\(711\) −3.92555 37.3491i −0.147220 1.40070i
\(712\) −4.03197 5.97765i −0.151105 0.224022i
\(713\) −0.957690 + 27.4247i −0.0358658 + 1.02706i
\(714\) −9.08839 + 15.7415i −0.340124 + 0.589113i
\(715\) 20.1215 + 67.8113i 0.752501 + 2.53600i
\(716\) −3.24787 18.4196i −0.121379 0.688373i
\(717\) −19.2919 + 47.7491i −0.720469 + 1.78322i
\(718\) 2.60916 0.182450i 0.0973731 0.00680899i
\(719\) 2.08247 + 4.26969i 0.0776629 + 0.159233i 0.934092 0.357032i \(-0.116211\pi\)
−0.856429 + 0.516264i \(0.827322\pi\)
\(720\) 0.342662 + 9.81255i 0.0127703 + 0.365692i
\(721\) 6.46364 19.8930i 0.240718 0.740855i
\(722\) −17.5665 7.24000i −0.653758 0.269445i
\(723\) 38.7133 + 28.1268i 1.43976 + 1.04605i
\(724\) −7.35697 9.41649i −0.273420 0.349961i
\(725\) −2.09380 + 11.8746i −0.0777619 + 0.441010i
\(726\) −2.29170 + 26.4825i −0.0850531 + 0.982858i
\(727\) 1.74330 + 1.46281i 0.0646555 + 0.0542524i 0.674543 0.738236i \(-0.264341\pi\)
−0.609887 + 0.792488i \(0.708785\pi\)
\(728\) 7.32041 3.89233i 0.271312 0.144259i
\(729\) 2.51258 23.9056i 0.0930584 0.885392i
\(730\) −1.69778 16.1533i −0.0628377 0.597861i
\(731\) −1.70680 + 2.18461i −0.0631283 + 0.0808006i
\(732\) 14.8294 18.9808i 0.548111 0.701550i
\(733\) −1.53007 14.5576i −0.0565143 0.537698i −0.985751 0.168212i \(-0.946201\pi\)
0.929236 0.369486i \(-0.120466\pi\)
\(734\) −3.35285 + 31.9002i −0.123756 + 1.17746i
\(735\) −38.3132 + 20.3715i −1.41320 + 0.751414i
\(736\) 2.00954 + 1.68620i 0.0740726 + 0.0621543i
\(737\) 21.4372 10.7008i 0.789648 0.394170i
\(738\) −1.66708 + 9.45446i −0.0613659 + 0.348023i
\(739\) 14.5499 + 18.6231i 0.535228 + 0.685060i 0.977286 0.211926i \(-0.0679737\pi\)
−0.442058 + 0.896986i \(0.645751\pi\)
\(740\) 0.321385 + 0.233500i 0.0118143 + 0.00858363i
\(741\) −3.62586 + 64.8643i −0.133199 + 2.38285i
\(742\) 1.07915 3.32129i 0.0396170 0.121929i
\(743\) −1.34161 38.4187i −0.0492189 1.40945i −0.733233 0.679977i \(-0.761990\pi\)
0.684015 0.729468i \(-0.260232\pi\)
\(744\) 11.0813 + 22.7201i 0.406261 + 0.832959i
\(745\) −55.3469 + 3.87023i −2.02775 + 0.141794i
\(746\) −4.15928 + 10.2946i −0.152282 + 0.376911i
\(747\) 2.56777 + 14.5626i 0.0939498 + 0.532816i
\(748\) −15.2897 + 10.5190i −0.559046 + 0.384611i
\(749\) 3.60588 6.24556i 0.131756 0.228208i
\(750\) −0.570672 + 16.3419i −0.0208380 + 0.596722i
\(751\) 4.30509 + 6.38256i 0.157095 + 0.232903i 0.899366 0.437197i \(-0.144029\pi\)
−0.742271 + 0.670100i \(0.766251\pi\)
\(752\) 0.197490 + 1.87899i 0.00720171 + 0.0685197i
\(753\) 41.5964 8.84158i 1.51586 0.322205i
\(754\) −10.5858 1.48773i −0.385511 0.0541800i
\(755\) 27.2619 + 1.90634i 0.992163 + 0.0693788i
\(756\) 0.520198 0.0363758i 0.0189194 0.00132297i
\(757\) 35.5852 5.00117i 1.29337 0.181771i 0.541284 0.840840i \(-0.317938\pi\)
0.752082 + 0.659069i \(0.229050\pi\)
\(758\) −8.79169 + 3.19991i −0.319329 + 0.116226i
\(759\) −13.6619 15.9807i −0.495894 0.580062i
\(760\) 4.95672 14.2342i 0.179799 0.516328i
\(761\) 7.62876 + 23.4789i 0.276542 + 0.851109i 0.988807 + 0.149199i \(0.0476694\pi\)
−0.712265 + 0.701911i \(0.752331\pi\)
\(762\) −36.0196 10.3285i −1.30485 0.374161i
\(763\) 1.18085 + 2.42110i 0.0427496 + 0.0876497i
\(764\) 8.28899 + 20.5160i 0.299885 + 0.742241i
\(765\) 46.5926 29.1143i 1.68456 1.05263i
\(766\) −3.00498 2.90188i −0.108574 0.104849i
\(767\) 7.32007 69.6458i 0.264312 2.51477i
\(768\) 2.36369 + 0.502418i 0.0852924 + 0.0181295i
\(769\) 24.3265 + 8.85412i 0.877236 + 0.319288i 0.741094 0.671402i \(-0.234307\pi\)
0.136142 + 0.990689i \(0.456530\pi\)
\(770\) 15.4015 0.679737i 0.555032 0.0244960i
\(771\) 8.83663