Properties

Label 441.2.z.a.4.9
Level $441$
Weight $2$
Character 441.4
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 441.4
Dual form 441.2.z.a.331.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.162086 + 2.16289i) q^{2} +(0.451822 - 1.67208i) q^{3} +(-2.67415 - 0.403063i) q^{4} +(0.397052 - 1.73960i) q^{5} +(3.54329 + 1.24826i) q^{6} +(1.01797 + 2.44208i) q^{7} +(0.339946 - 1.48940i) q^{8} +(-2.59171 - 1.51097i) q^{9} +O(q^{10})\) \(q+(-0.162086 + 2.16289i) q^{2} +(0.451822 - 1.67208i) q^{3} +(-2.67415 - 0.403063i) q^{4} +(0.397052 - 1.73960i) q^{5} +(3.54329 + 1.24826i) q^{6} +(1.01797 + 2.44208i) q^{7} +(0.339946 - 1.48940i) q^{8} +(-2.59171 - 1.51097i) q^{9} +(3.69820 + 1.14074i) q^{10} +(3.38974 - 1.63241i) q^{11} +(-1.88219 + 4.28928i) q^{12} +(0.376936 - 5.02986i) q^{13} +(-5.44693 + 1.80593i) q^{14} +(-2.72935 - 1.44989i) q^{15} +(-2.00210 - 0.617567i) q^{16} +(6.99567 - 1.05443i) q^{17} +(3.68813 - 5.36068i) q^{18} +(0.0857190 + 0.148470i) q^{19} +(-1.76294 + 4.49190i) q^{20} +(4.54329 - 0.598749i) q^{21} +(2.98129 + 7.59620i) q^{22} +(-2.11211 + 2.64850i) q^{23} +(-2.33681 - 1.24136i) q^{24} +(1.63629 + 0.787997i) q^{25} +(10.8179 + 1.63054i) q^{26} +(-3.69745 + 3.65087i) q^{27} +(-1.73790 - 6.94077i) q^{28} +(2.12975 - 5.42650i) q^{29} +(3.57834 - 5.66828i) q^{30} +(3.88033 + 6.72094i) q^{31} +(2.77651 - 7.07442i) q^{32} +(-1.19797 - 6.40547i) q^{33} +(1.14671 + 15.3018i) q^{34} +(4.65242 - 0.801231i) q^{35} +(6.32161 + 5.08517i) q^{36} +(-1.41656 + 3.60935i) q^{37} +(-0.335017 + 0.161336i) q^{38} +(-8.24002 - 2.90287i) q^{39} +(-2.45599 - 1.18274i) q^{40} +(4.13303 + 3.83489i) q^{41} +(0.558623 + 9.92368i) q^{42} +(-4.74474 + 4.40248i) q^{43} +(-9.72261 + 2.99903i) q^{44} +(-3.65752 + 3.90861i) q^{45} +(-5.38606 - 4.99753i) q^{46} +(0.823512 - 10.9890i) q^{47} +(-1.93721 + 3.06865i) q^{48} +(-4.92747 + 4.97193i) q^{49} +(-1.96957 + 3.41139i) q^{50} +(1.39771 - 12.1737i) q^{51} +(-3.03533 + 13.2986i) q^{52} +(-3.34564 - 8.52455i) q^{53} +(-7.29712 - 8.58892i) q^{54} +(-1.49384 - 6.54493i) q^{55} +(3.98329 - 0.685995i) q^{56} +(0.286983 - 0.0762473i) q^{57} +(11.3917 + 5.48596i) q^{58} +(-0.247847 + 0.229968i) q^{59} +(6.71430 + 4.97732i) q^{60} +(-8.24551 + 1.24281i) q^{61} +(-15.1656 + 7.30335i) q^{62} +(1.05160 - 7.86728i) q^{63} +(11.0757 + 5.33380i) q^{64} +(-8.60027 - 2.65283i) q^{65} +(14.0485 - 1.55283i) q^{66} +(-3.41914 - 5.92213i) q^{67} -19.1325 q^{68} +(3.47421 + 4.72826i) q^{69} +(0.978881 + 10.1925i) q^{70} +(-3.15942 + 3.96179i) q^{71} +(-3.13148 + 3.34646i) q^{72} +(-12.0801 + 8.23610i) q^{73} +(-7.57700 - 3.64889i) q^{74} +(2.05691 - 2.37998i) q^{75} +(-0.169383 - 0.431580i) q^{76} +(7.43712 + 6.61624i) q^{77} +(7.61416 - 17.3517i) q^{78} +(1.63036 - 2.82387i) q^{79} +(-1.86926 + 3.23765i) q^{80} +(4.43397 + 7.83198i) q^{81} +(-8.96434 + 8.31770i) q^{82} +(0.369261 + 4.92745i) q^{83} +(-12.3908 - 0.230089i) q^{84} +(0.943364 - 12.5883i) q^{85} +(-8.75300 - 10.9759i) q^{86} +(-8.11129 - 6.01292i) q^{87} +(-1.27899 - 5.60361i) q^{88} +(0.394920 + 5.26984i) q^{89} +(-7.86105 - 8.54433i) q^{90} +(12.6670 - 4.19975i) q^{91} +(6.71559 - 6.23116i) q^{92} +(12.9912 - 3.45157i) q^{93} +(23.6345 + 3.56233i) q^{94} +(0.292312 - 0.0901664i) q^{95} +(-10.5745 - 7.83892i) q^{96} +(-0.624666 - 1.08195i) q^{97} +(-9.95505 - 11.4634i) q^{98} +(-11.2517 - 0.891032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.162086 + 2.16289i −0.114612 + 1.52939i 0.582737 + 0.812661i \(0.301982\pi\)
−0.697349 + 0.716731i \(0.745637\pi\)
\(3\) 0.451822 1.67208i 0.260859 0.965377i
\(4\) −2.67415 0.403063i −1.33707 0.201531i
\(5\) 0.397052 1.73960i 0.177567 0.777972i −0.805182 0.593028i \(-0.797932\pi\)
0.982749 0.184944i \(-0.0592105\pi\)
\(6\) 3.54329 + 1.24826i 1.44654 + 0.509600i
\(7\) 1.01797 + 2.44208i 0.384757 + 0.923018i
\(8\) 0.339946 1.48940i 0.120189 0.526583i
\(9\) −2.59171 1.51097i −0.863905 0.503655i
\(10\) 3.69820 + 1.14074i 1.16947 + 0.360735i
\(11\) 3.38974 1.63241i 1.02204 0.492190i 0.153681 0.988120i \(-0.450887\pi\)
0.868362 + 0.495930i \(0.165173\pi\)
\(12\) −1.88219 + 4.28928i −0.543342 + 1.23821i
\(13\) 0.376936 5.02986i 0.104543 1.39503i −0.660391 0.750922i \(-0.729609\pi\)
0.764934 0.644109i \(-0.222772\pi\)
\(14\) −5.44693 + 1.80593i −1.45575 + 0.482656i
\(15\) −2.72935 1.44989i −0.704716 0.374360i
\(16\) −2.00210 0.617567i −0.500525 0.154392i
\(17\) 6.99567 1.05443i 1.69670 0.255736i 0.771777 0.635893i \(-0.219368\pi\)
0.924922 + 0.380156i \(0.124130\pi\)
\(18\) 3.68813 5.36068i 0.869300 1.26352i
\(19\) 0.0857190 + 0.148470i 0.0196653 + 0.0340613i 0.875691 0.482873i \(-0.160407\pi\)
−0.856025 + 0.516934i \(0.827073\pi\)
\(20\) −1.76294 + 4.49190i −0.394206 + 1.00442i
\(21\) 4.54329 0.598749i 0.991428 0.130658i
\(22\) 2.98129 + 7.59620i 0.635613 + 1.61952i
\(23\) −2.11211 + 2.64850i −0.440405 + 0.552250i −0.951650 0.307185i \(-0.900613\pi\)
0.511245 + 0.859435i \(0.329184\pi\)
\(24\) −2.33681 1.24136i −0.476999 0.253392i
\(25\) 1.63629 + 0.787997i 0.327258 + 0.157599i
\(26\) 10.8179 + 1.63054i 2.12157 + 0.319775i
\(27\) −3.69745 + 3.65087i −0.711575 + 0.702610i
\(28\) −1.73790 6.94077i −0.328431 1.31168i
\(29\) 2.12975 5.42650i 0.395484 1.00768i −0.584993 0.811039i \(-0.698903\pi\)
0.980476 0.196637i \(-0.0630022\pi\)
\(30\) 3.57834 5.66828i 0.653313 1.03488i
\(31\) 3.88033 + 6.72094i 0.696929 + 1.20712i 0.969526 + 0.244988i \(0.0787839\pi\)
−0.272598 + 0.962128i \(0.587883\pi\)
\(32\) 2.77651 7.07442i 0.490822 1.25059i
\(33\) −1.19797 6.40547i −0.208539 1.11505i
\(34\) 1.14671 + 15.3018i 0.196659 + 2.62423i
\(35\) 4.65242 0.801231i 0.786402 0.135433i
\(36\) 6.32161 + 5.08517i 1.05360 + 0.847528i
\(37\) −1.41656 + 3.60935i −0.232882 + 0.593373i −0.998769 0.0496018i \(-0.984205\pi\)
0.765887 + 0.642975i \(0.222300\pi\)
\(38\) −0.335017 + 0.161336i −0.0543469 + 0.0261721i
\(39\) −8.24002 2.90287i −1.31946 0.464830i
\(40\) −2.45599 1.18274i −0.388325 0.187008i
\(41\) 4.13303 + 3.83489i 0.645471 + 0.598909i 0.933441 0.358730i \(-0.116790\pi\)
−0.287971 + 0.957639i \(0.592981\pi\)
\(42\) 0.558623 + 9.92368i 0.0861974 + 1.53126i
\(43\) −4.74474 + 4.40248i −0.723566 + 0.671371i −0.953349 0.301871i \(-0.902389\pi\)
0.229783 + 0.973242i \(0.426198\pi\)
\(44\) −9.72261 + 2.99903i −1.46574 + 0.452121i
\(45\) −3.65752 + 3.90861i −0.545231 + 0.582661i
\(46\) −5.38606 4.99753i −0.794131 0.736846i
\(47\) 0.823512 10.9890i 0.120122 1.60291i −0.533306 0.845923i \(-0.679050\pi\)
0.653427 0.756989i \(-0.273331\pi\)
\(48\) −1.93721 + 3.06865i −0.279613 + 0.442921i
\(49\) −4.92747 + 4.97193i −0.703924 + 0.710275i
\(50\) −1.96957 + 3.41139i −0.278539 + 0.482444i
\(51\) 1.39771 12.1737i 0.195718 1.70467i
\(52\) −3.03533 + 13.2986i −0.420924 + 1.84419i
\(53\) −3.34564 8.52455i −0.459559 1.17094i −0.953487 0.301434i \(-0.902535\pi\)
0.493928 0.869503i \(-0.335560\pi\)
\(54\) −7.29712 8.58892i −0.993012 1.16880i
\(55\) −1.49384 6.54493i −0.201429 0.882518i
\(56\) 3.98329 0.685995i 0.532289 0.0916699i
\(57\) 0.286983 0.0762473i 0.0380118 0.0100992i
\(58\) 11.3917 + 5.48596i 1.49580 + 0.720342i
\(59\) −0.247847 + 0.229968i −0.0322669 + 0.0299393i −0.696141 0.717905i \(-0.745101\pi\)
0.663875 + 0.747844i \(0.268911\pi\)
\(60\) 6.71430 + 4.97732i 0.866812 + 0.642570i
\(61\) −8.24551 + 1.24281i −1.05573 + 0.159126i −0.653894 0.756586i \(-0.726866\pi\)
−0.401836 + 0.915712i \(0.631628\pi\)
\(62\) −15.1656 + 7.30335i −1.92603 + 0.927527i
\(63\) 1.05160 7.86728i 0.132489 0.991184i
\(64\) 11.0757 + 5.33380i 1.38447 + 0.666725i
\(65\) −8.60027 2.65283i −1.06673 0.329043i
\(66\) 14.0485 1.55283i 1.72925 0.191140i
\(67\) −3.41914 5.92213i −0.417715 0.723503i 0.577994 0.816041i \(-0.303836\pi\)
−0.995709 + 0.0925375i \(0.970502\pi\)
\(68\) −19.1325 −2.32015
\(69\) 3.47421 + 4.72826i 0.418246 + 0.569216i
\(70\) 0.978881 + 10.1925i 0.116999 + 1.21824i
\(71\) −3.15942 + 3.96179i −0.374954 + 0.470177i −0.933127 0.359547i \(-0.882931\pi\)
0.558173 + 0.829725i \(0.311503\pi\)
\(72\) −3.13148 + 3.34646i −0.369048 + 0.394384i
\(73\) −12.0801 + 8.23610i −1.41387 + 0.963963i −0.415350 + 0.909662i \(0.636341\pi\)
−0.998525 + 0.0543012i \(0.982707\pi\)
\(74\) −7.57700 3.64889i −0.880809 0.424175i
\(75\) 2.05691 2.37998i 0.237511 0.274816i
\(76\) −0.169383 0.431580i −0.0194295 0.0495056i
\(77\) 7.43712 + 6.61624i 0.847539 + 0.753991i
\(78\) 7.61416 17.3517i 0.862134 1.96470i
\(79\) 1.63036 2.82387i 0.183430 0.317710i −0.759616 0.650372i \(-0.774613\pi\)
0.943046 + 0.332661i \(0.107947\pi\)
\(80\) −1.86926 + 3.23765i −0.208989 + 0.361980i
\(81\) 4.43397 + 7.83198i 0.492663 + 0.870220i
\(82\) −8.96434 + 8.31770i −0.989946 + 0.918536i
\(83\) 0.369261 + 4.92745i 0.0405317 + 0.540858i 0.980101 + 0.198499i \(0.0636067\pi\)
−0.939569 + 0.342359i \(0.888774\pi\)
\(84\) −12.3908 0.230089i −1.35194 0.0251047i
\(85\) 0.943364 12.5883i 0.102322 1.36540i
\(86\) −8.75300 10.9759i −0.943861 1.18356i
\(87\) −8.11129 6.01292i −0.869622 0.644653i
\(88\) −1.27899 5.60361i −0.136341 0.597347i
\(89\) 0.394920 + 5.26984i 0.0418614 + 0.558601i 0.978222 + 0.207562i \(0.0665528\pi\)
−0.936361 + 0.351040i \(0.885828\pi\)
\(90\) −7.86105 8.54433i −0.828627 0.900652i
\(91\) 12.6670 4.19975i 1.32786 0.440253i
\(92\) 6.71559 6.23116i 0.700149 0.649643i
\(93\) 12.9912 3.45157i 1.34712 0.357911i
\(94\) 23.6345 + 3.56233i 2.43771 + 0.367426i
\(95\) 0.292312 0.0901664i 0.0299906 0.00925088i
\(96\) −10.5745 7.83892i −1.07926 0.800057i
\(97\) −0.624666 1.08195i −0.0634253 0.109856i 0.832569 0.553921i \(-0.186869\pi\)
−0.895994 + 0.444065i \(0.853536\pi\)
\(98\) −9.95505 11.4634i −1.00561 1.15798i
\(99\) −11.2517 0.891032i −1.13084 0.0895521i
\(100\) −4.05807 2.76675i −0.405807 0.276675i
\(101\) 2.21318 9.69656i 0.220219 0.964844i −0.737094 0.675791i \(-0.763802\pi\)
0.957313 0.289053i \(-0.0933405\pi\)
\(102\) 26.1039 + 4.99628i 2.58467 + 0.494705i
\(103\) −1.76832 + 7.74750i −0.174237 + 0.763384i 0.809985 + 0.586450i \(0.199475\pi\)
−0.984223 + 0.176934i \(0.943382\pi\)
\(104\) −7.36334 2.27129i −0.722035 0.222718i
\(105\) 0.762340 8.14124i 0.0743968 0.794503i
\(106\) 18.9799 5.85453i 1.84349 0.568642i
\(107\) 1.02445 + 13.6703i 0.0990371 + 1.32156i 0.796370 + 0.604810i \(0.206751\pi\)
−0.697333 + 0.716748i \(0.745630\pi\)
\(108\) 11.3591 8.27266i 1.09303 0.796037i
\(109\) 0.904522 12.0700i 0.0866375 1.15610i −0.769254 0.638943i \(-0.779372\pi\)
0.855892 0.517155i \(-0.173009\pi\)
\(110\) 14.3981 2.17016i 1.37280 0.206917i
\(111\) 5.39509 + 3.99939i 0.512079 + 0.379606i
\(112\) −0.529939 5.51795i −0.0500745 0.521397i
\(113\) −11.7965 + 8.04273i −1.10972 + 0.756596i −0.972258 0.233910i \(-0.924848\pi\)
−0.137465 + 0.990507i \(0.543895\pi\)
\(114\) 0.118398 + 0.633070i 0.0110890 + 0.0592925i
\(115\) 3.76871 + 4.72581i 0.351434 + 0.440684i
\(116\) −7.88247 + 13.6528i −0.731869 + 1.26763i
\(117\) −8.57685 + 12.4664i −0.792930 + 1.15252i
\(118\) −0.457223 0.573339i −0.0420908 0.0527801i
\(119\) 9.69639 + 16.0106i 0.888867 + 1.46769i
\(120\) −3.08731 + 3.57222i −0.281831 + 0.326098i
\(121\) 1.96715 2.46673i 0.178832 0.224248i
\(122\) −1.35158 18.0356i −0.122366 1.63286i
\(123\) 8.27964 5.17808i 0.746550 0.466891i
\(124\) −7.66762 19.5368i −0.688573 1.75446i
\(125\) 7.58307 9.50886i 0.678250 0.850499i
\(126\) 16.8456 + 3.54967i 1.50072 + 0.316230i
\(127\) 4.01766 + 5.03799i 0.356510 + 0.447049i 0.927453 0.373941i \(-0.121994\pi\)
−0.570943 + 0.820990i \(0.693422\pi\)
\(128\) −5.73187 + 9.92788i −0.506630 + 0.877509i
\(129\) 5.21752 + 9.92273i 0.459377 + 0.873648i
\(130\) 7.13176 18.1714i 0.625496 1.59374i
\(131\) 2.22731 + 9.75848i 0.194601 + 0.852602i 0.974085 + 0.226181i \(0.0726240\pi\)
−0.779484 + 0.626422i \(0.784519\pi\)
\(132\) 0.621733 + 17.6120i 0.0541149 + 1.53293i
\(133\) −0.275315 + 0.360470i −0.0238728 + 0.0312567i
\(134\) 13.3631 6.43533i 1.15440 0.555927i
\(135\) 4.88297 + 7.88167i 0.420259 + 0.678346i
\(136\) 0.807686 10.7778i 0.0692585 0.924191i
\(137\) 0.168402 + 0.737818i 0.0143876 + 0.0630360i 0.981612 0.190887i \(-0.0611363\pi\)
−0.967225 + 0.253923i \(0.918279\pi\)
\(138\) −10.7898 + 6.74794i −0.918491 + 0.574423i
\(139\) −15.4848 14.3678i −1.31340 1.21866i −0.958947 0.283585i \(-0.908476\pi\)
−0.354454 0.935073i \(-0.615333\pi\)
\(140\) −12.7642 + 0.267393i −1.07877 + 0.0225988i
\(141\) −18.0024 6.34205i −1.51608 0.534097i
\(142\) −8.05680 7.47562i −0.676111 0.627340i
\(143\) −6.93308 17.6652i −0.579773 1.47724i
\(144\) 4.25575 + 4.62566i 0.354646 + 0.385472i
\(145\) −8.59432 5.85951i −0.713719 0.486605i
\(146\) −15.8557 27.4629i −1.31223 2.27285i
\(147\) 6.08713 + 10.4856i 0.502058 + 0.864834i
\(148\) 5.24289 9.08096i 0.430963 0.746450i
\(149\) −0.346888 + 0.167053i −0.0284182 + 0.0136855i −0.448039 0.894014i \(-0.647877\pi\)
0.419621 + 0.907700i \(0.362163\pi\)
\(150\) 4.81423 + 4.83462i 0.393080 + 0.394745i
\(151\) −10.3938 + 13.0334i −0.845837 + 1.06065i 0.151553 + 0.988449i \(0.451572\pi\)
−0.997390 + 0.0721970i \(0.976999\pi\)
\(152\) 0.250271 0.0771983i 0.0202996 0.00626161i
\(153\) −19.7240 7.83745i −1.59459 0.633620i
\(154\) −15.5156 + 15.0133i −1.25029 + 1.20980i
\(155\) 13.2324 4.08166i 1.06285 0.327847i
\(156\) 20.8650 + 11.0839i 1.67054 + 0.887425i
\(157\) −2.16618 + 2.00992i −0.172880 + 0.160409i −0.761867 0.647733i \(-0.775717\pi\)
0.588988 + 0.808142i \(0.299527\pi\)
\(158\) 5.84346 + 3.98400i 0.464880 + 0.316950i
\(159\) −15.7654 + 1.74260i −1.25027 + 0.138197i
\(160\) −11.2042 7.63892i −0.885773 0.603910i
\(161\) −8.61790 2.46183i −0.679186 0.194019i
\(162\) −17.6584 + 8.32071i −1.38737 + 0.653737i
\(163\) 4.97746 4.61841i 0.389865 0.361742i −0.460751 0.887530i \(-0.652420\pi\)
0.850616 + 0.525788i \(0.176229\pi\)
\(164\) −9.50663 11.9209i −0.742343 0.930868i
\(165\) −11.6186 0.459323i −0.904507 0.0357583i
\(166\) −10.7174 −0.831829
\(167\) −0.826040 + 0.124505i −0.0639209 + 0.00963452i −0.180925 0.983497i \(-0.557909\pi\)
0.117004 + 0.993131i \(0.462671\pi\)
\(168\) 0.652697 6.97033i 0.0503567 0.537773i
\(169\) −12.3026 1.85431i −0.946352 0.142640i
\(170\) 27.0742 + 4.08078i 2.07650 + 0.312982i
\(171\) 0.00217342 0.514309i 0.000166206 0.0393302i
\(172\) 14.4626 9.86044i 1.10276 0.751851i
\(173\) 1.35241 + 3.44589i 0.102822 + 0.261986i 0.973022 0.230712i \(-0.0741057\pi\)
−0.870200 + 0.492699i \(0.836010\pi\)
\(174\) 14.3200 16.5692i 1.08560 1.25611i
\(175\) −0.258648 + 4.79811i −0.0195520 + 0.362703i
\(176\) −7.79472 + 1.17486i −0.587549 + 0.0885587i
\(177\) 0.272543 + 0.518325i 0.0204856 + 0.0389597i
\(178\) −11.4621 −0.859118
\(179\) −12.0794 + 1.82068i −0.902859 + 0.136084i −0.584034 0.811729i \(-0.698526\pi\)
−0.318825 + 0.947814i \(0.603288\pi\)
\(180\) 11.3562 8.97799i 0.846438 0.669180i
\(181\) 19.0444 + 9.17129i 1.41556 + 0.681697i 0.976251 0.216641i \(-0.0695100\pi\)
0.439306 + 0.898337i \(0.355224\pi\)
\(182\) 7.03043 + 28.0780i 0.521130 + 2.08128i
\(183\) −1.64742 + 14.3487i −0.121781 + 1.06069i
\(184\) 3.22668 + 4.04613i 0.237874 + 0.298284i
\(185\) 5.71637 + 3.89735i 0.420276 + 0.286539i
\(186\) 5.35967 + 28.6579i 0.392990 + 2.10130i
\(187\) 21.9922 14.9940i 1.60823 1.09647i
\(188\) −6.63145 + 29.0543i −0.483648 + 2.11900i
\(189\) −12.6796 5.31297i −0.922305 0.386462i
\(190\) 0.147640 + 0.646853i 0.0107109 + 0.0469277i
\(191\) 11.7577 + 10.9096i 0.850760 + 0.789390i 0.979321 0.202312i \(-0.0648455\pi\)
−0.128561 + 0.991702i \(0.541036\pi\)
\(192\) 13.9228 16.1096i 1.00479 1.16261i
\(193\) 1.76404 0.544134i 0.126978 0.0391677i −0.230615 0.973045i \(-0.574074\pi\)
0.357593 + 0.933878i \(0.383597\pi\)
\(194\) 2.44139 1.17571i 0.175282 0.0844113i
\(195\) −8.32154 + 13.1817i −0.595918 + 0.943964i
\(196\) 15.1808 11.3096i 1.08434 0.807828i
\(197\) −18.2393 −1.29949 −0.649747 0.760151i \(-0.725125\pi\)
−0.649747 + 0.760151i \(0.725125\pi\)
\(198\) 3.75095 24.1918i 0.266569 1.71924i
\(199\) 1.04011 + 0.965077i 0.0737311 + 0.0684125i 0.716178 0.697918i \(-0.245890\pi\)
−0.642447 + 0.766331i \(0.722081\pi\)
\(200\) 1.72990 2.16922i 0.122322 0.153387i
\(201\) −11.4471 + 3.04134i −0.807418 + 0.214520i
\(202\) 20.6138 + 6.35853i 1.45038 + 0.447384i
\(203\) 15.4199 0.323028i 1.08227 0.0226721i
\(204\) −8.64446 + 31.9910i −0.605233 + 2.23982i
\(205\) 8.31220 5.66716i 0.580549 0.395812i
\(206\) −16.4704 5.08043i −1.14754 0.353970i
\(207\) 9.47577 3.67283i 0.658611 0.255279i
\(208\) −3.86093 + 9.83750i −0.267708 + 0.682108i
\(209\) 0.532928 + 0.363344i 0.0368634 + 0.0251330i
\(210\) 17.4850 + 2.96844i 1.20658 + 0.204842i
\(211\) 9.94867 6.78289i 0.684895 0.466953i −0.170211 0.985408i \(-0.554445\pi\)
0.855105 + 0.518454i \(0.173492\pi\)
\(212\) 5.51080 + 24.1444i 0.378483 + 1.65824i
\(213\) 5.19693 + 7.07283i 0.356088 + 0.484622i
\(214\) −29.7334 −2.03253
\(215\) 5.77463 + 10.0020i 0.393827 + 0.682128i
\(216\) 4.18068 + 6.74809i 0.284459 + 0.459150i
\(217\) −12.4630 + 16.3178i −0.846041 + 1.10772i
\(218\) 25.9595 + 3.91276i 1.75820 + 0.265005i
\(219\) 8.31337 + 23.9202i 0.561765 + 1.61638i
\(220\) 1.35672 + 18.1042i 0.0914702 + 1.22059i
\(221\) −2.66670 35.5847i −0.179382 2.39368i
\(222\) −9.52470 + 11.0207i −0.639256 + 0.739662i
\(223\) 23.1084 + 3.48304i 1.54746 + 0.233241i 0.866535 0.499116i \(-0.166342\pi\)
0.680920 + 0.732358i \(0.261580\pi\)
\(224\) 20.1027 0.421125i 1.34317 0.0281376i
\(225\) −3.05016 4.51464i −0.203344 0.300976i
\(226\) −15.4835 26.8182i −1.02994 1.78392i
\(227\) 9.18577 0.609681 0.304840 0.952403i \(-0.401397\pi\)
0.304840 + 0.952403i \(0.401397\pi\)
\(228\) −0.798167 + 0.0882243i −0.0528599 + 0.00584280i
\(229\) −1.62401 7.11525i −0.107318 0.470189i −0.999817 0.0191402i \(-0.993907\pi\)
0.892499 0.451049i \(-0.148950\pi\)
\(230\) −10.8322 + 7.38530i −0.714257 + 0.486972i
\(231\) 14.4232 9.44612i 0.948974 0.621509i
\(232\) −7.35825 5.01677i −0.483093 0.329367i
\(233\) −8.53963 + 21.7586i −0.559450 + 1.42546i 0.319061 + 0.947734i \(0.396632\pi\)
−0.878511 + 0.477721i \(0.841463\pi\)
\(234\) −25.5733 20.5714i −1.67178 1.34479i
\(235\) −18.7895 5.79579i −1.22569 0.378076i
\(236\) 0.755470 0.515071i 0.0491769 0.0335283i
\(237\) −3.98511 4.00199i −0.258861 0.259957i
\(238\) −36.2007 + 18.3771i −2.34654 + 1.19121i
\(239\) 13.6769 + 4.21878i 0.884688 + 0.272890i 0.703616 0.710580i \(-0.251567\pi\)
0.181071 + 0.983470i \(0.442044\pi\)
\(240\) 4.56904 + 4.58839i 0.294930 + 0.296179i
\(241\) 1.55331 1.94780i 0.100058 0.125469i −0.729282 0.684214i \(-0.760146\pi\)
0.829339 + 0.558745i \(0.188717\pi\)
\(242\) 5.01641 + 4.65455i 0.322467 + 0.299206i
\(243\) 15.0991 3.87529i 0.968606 0.248600i
\(244\) 22.5506 1.44366
\(245\) 6.69270 + 10.5459i 0.427581 + 0.673755i
\(246\) 9.85758 + 18.7472i 0.628496 + 1.19528i
\(247\) 0.779091 0.375191i 0.0495724 0.0238728i
\(248\) 11.3293 3.49462i 0.719410 0.221909i
\(249\) 8.40594 + 1.60889i 0.532705 + 0.101960i
\(250\) 19.3375 + 17.9426i 1.22301 + 1.13479i
\(251\) 1.31911 + 5.77938i 0.0832612 + 0.364791i 0.999345 0.0361964i \(-0.0115242\pi\)
−0.916083 + 0.400988i \(0.868667\pi\)
\(252\) −5.98314 + 20.6144i −0.376903 + 1.29859i
\(253\) −2.83605 + 12.4255i −0.178301 + 0.781187i
\(254\) −11.5478 + 7.87316i −0.724574 + 0.494006i
\(255\) −20.6225 7.26506i −1.29143 0.454956i
\(256\) −0.229668 0.156585i −0.0143543 0.00978658i
\(257\) −6.52235 8.17877i −0.406853 0.510177i 0.535620 0.844459i \(-0.320078\pi\)
−0.942473 + 0.334281i \(0.891506\pi\)
\(258\) −22.3074 + 9.67658i −1.38880 + 0.602437i
\(259\) −10.2563 + 0.214856i −0.637297 + 0.0133505i
\(260\) 21.9291 + 10.5605i 1.35999 + 0.654935i
\(261\) −13.7189 + 10.8460i −0.849182 + 0.671349i
\(262\) −21.4675 + 3.23571i −1.32627 + 0.199903i
\(263\) −3.31914 −0.204667 −0.102334 0.994750i \(-0.532631\pi\)
−0.102334 + 0.994750i \(0.532631\pi\)
\(264\) −9.94757 0.393262i −0.612231 0.0242036i
\(265\) −16.1577 + 2.43538i −0.992558 + 0.149604i
\(266\) −0.735031 0.653901i −0.0450677 0.0400933i
\(267\) 8.99003 + 1.72069i 0.550181 + 0.105304i
\(268\) 6.75630 + 17.2148i 0.412707 + 1.05156i
\(269\) −3.53823 + 2.41233i −0.215730 + 0.147082i −0.666364 0.745627i \(-0.732150\pi\)
0.450634 + 0.892709i \(0.351198\pi\)
\(270\) −17.8386 + 9.28380i −1.08562 + 0.564994i
\(271\) 17.1009 + 2.57755i 1.03881 + 0.156575i 0.646229 0.763144i \(-0.276345\pi\)
0.392578 + 0.919719i \(0.371583\pi\)
\(272\) −14.6572 2.20922i −0.888725 0.133954i
\(273\) −1.29909 23.0778i −0.0786247 1.39673i
\(274\) −1.62311 + 0.244645i −0.0980558 + 0.0147795i
\(275\) 6.83293 0.412041
\(276\) −7.38476 14.0444i −0.444510 0.845373i
\(277\) 8.34359 + 10.4625i 0.501318 + 0.628633i 0.966526 0.256569i \(-0.0825920\pi\)
−0.465208 + 0.885201i \(0.654021\pi\)
\(278\) 33.5857 31.1630i 2.01434 1.86903i
\(279\) 0.0983866 23.2818i 0.00589025 1.39384i
\(280\) 0.388217 7.20170i 0.0232004 0.430384i
\(281\) −10.9730 7.48129i −0.654596 0.446296i 0.189939 0.981796i \(-0.439171\pi\)
−0.844535 + 0.535500i \(0.820123\pi\)
\(282\) 16.6351 37.9093i 0.990605 2.25747i
\(283\) 6.36638 + 4.34053i 0.378442 + 0.258017i 0.737570 0.675271i \(-0.235973\pi\)
−0.359128 + 0.933288i \(0.616926\pi\)
\(284\) 10.0456 9.32095i 0.596096 0.553097i
\(285\) −0.0186925 0.529509i −0.00110725 0.0313654i
\(286\) 39.3316 12.1322i 2.32572 0.717391i
\(287\) −5.15779 + 13.9970i −0.304455 + 0.826216i
\(288\) −17.8851 + 14.1397i −1.05389 + 0.833188i
\(289\) 31.5829 9.74203i 1.85782 0.573060i
\(290\) 14.0665 17.6388i 0.826011 1.03579i
\(291\) −2.09135 + 0.555643i −0.122597 + 0.0325724i
\(292\) 35.6237 17.1555i 2.08472 1.00395i
\(293\) 8.91516 15.4415i 0.520829 0.902103i −0.478877 0.877882i \(-0.658956\pi\)
0.999707 0.0242208i \(-0.00771049\pi\)
\(294\) −23.6657 + 11.4662i −1.38021 + 0.668724i
\(295\) 0.301644 + 0.522463i 0.0175624 + 0.0304190i
\(296\) 4.89421 + 3.33682i 0.284470 + 0.193949i
\(297\) −6.57366 + 18.4112i −0.381442 + 1.06833i
\(298\) −0.305090 0.777357i −0.0176734 0.0450311i
\(299\) 12.5254 + 11.6219i 0.724365 + 0.672112i
\(300\) −6.45975 + 5.53535i −0.372954 + 0.319584i
\(301\) −15.5812 7.10542i −0.898085 0.409550i
\(302\) −26.5052 24.5932i −1.52520 1.41518i
\(303\) −15.2135 8.08173i −0.873992 0.464283i
\(304\) −0.0799282 0.350188i −0.00458420 0.0200847i
\(305\) −1.11191 + 14.8373i −0.0636675 + 0.849584i
\(306\) 20.1485 41.3904i 1.15181 2.36613i
\(307\) −21.0901 + 10.1564i −1.20367 + 0.579659i −0.924721 0.380645i \(-0.875702\pi\)
−0.278954 + 0.960305i \(0.589988\pi\)
\(308\) −17.2212 20.6904i −0.981269 1.17895i
\(309\) 12.1555 + 6.45726i 0.691502 + 0.367341i
\(310\) 6.68338 + 29.2818i 0.379591 + 1.66310i
\(311\) 1.11531 2.84176i 0.0632433 0.161141i −0.895759 0.444541i \(-0.853367\pi\)
0.959002 + 0.283399i \(0.0914622\pi\)
\(312\) −7.12470 + 11.2859i −0.403357 + 0.638938i
\(313\) −12.1002 + 20.9581i −0.683943 + 1.18462i 0.289825 + 0.957080i \(0.406403\pi\)
−0.973768 + 0.227544i \(0.926930\pi\)
\(314\) −3.99612 5.01097i −0.225514 0.282785i
\(315\) −13.2684 4.95308i −0.747588 0.279075i
\(316\) −5.49803 + 6.89431i −0.309288 + 0.387835i
\(317\) −3.22427 8.21530i −0.181093 0.461417i 0.811285 0.584651i \(-0.198769\pi\)
−0.992378 + 0.123234i \(0.960673\pi\)
\(318\) −1.21371 34.3812i −0.0680615 1.92800i
\(319\) −1.63901 21.8710i −0.0917668 1.22454i
\(320\) 13.6763 17.1496i 0.764529 0.958690i
\(321\) 23.3207 + 4.46358i 1.30164 + 0.249133i
\(322\) 6.72150 18.2405i 0.374574 1.01650i
\(323\) 0.756212 + 0.948260i 0.0420768 + 0.0527626i
\(324\) −8.70029 22.7310i −0.483350 1.26284i
\(325\) 4.58029 7.93329i 0.254069 0.440060i
\(326\) 9.18232 + 11.5143i 0.508562 + 0.637716i
\(327\) −19.7734 6.96593i −1.09347 0.385217i
\(328\) 7.11671 4.85209i 0.392954 0.267912i
\(329\) 27.6743 9.17542i 1.52573 0.505857i
\(330\) 2.87668 25.0553i 0.158356 1.37925i
\(331\) −14.8485 + 2.23806i −0.816149 + 0.123015i −0.543833 0.839193i \(-0.683028\pi\)
−0.272316 + 0.962208i \(0.587790\pi\)
\(332\) 0.998613 13.3256i 0.0548060 0.731335i
\(333\) 9.12493 7.21402i 0.500043 0.395326i
\(334\) −0.135402 1.80681i −0.00740885 0.0988643i
\(335\) −11.6597 + 3.59654i −0.637038 + 0.196500i
\(336\) −9.46590 1.60703i −0.516407 0.0876706i
\(337\) −17.1029 5.27555i −0.931655 0.287378i −0.208468 0.978029i \(-0.566848\pi\)
−0.723188 + 0.690652i \(0.757324\pi\)
\(338\) 6.00475 26.3085i 0.326615 1.43099i
\(339\) 8.11818 + 23.3586i 0.440919 + 1.26867i
\(340\) −7.59658 + 33.2828i −0.411982 + 1.80501i
\(341\) 24.1246 + 16.4479i 1.30642 + 0.890703i
\(342\) 1.11204 + 0.0880632i 0.0601323 + 0.00476191i
\(343\) −17.1578 6.97196i −0.926437 0.376451i
\(344\) 4.94410 + 8.56344i 0.266568 + 0.461709i
\(345\) 9.60472 4.16636i 0.517101 0.224309i
\(346\) −7.67228 + 2.36659i −0.412465 + 0.127228i
\(347\) −23.0004 3.46675i −1.23472 0.186105i −0.500937 0.865484i \(-0.667011\pi\)
−0.733788 + 0.679379i \(0.762249\pi\)
\(348\) 19.2672 + 19.3488i 1.03283 + 1.03720i
\(349\) 11.0887 10.2888i 0.593564 0.550747i −0.325154 0.945661i \(-0.605416\pi\)
0.918718 + 0.394914i \(0.129226\pi\)
\(350\) −10.3358 1.33713i −0.552474 0.0714728i
\(351\) 16.9697 + 19.9738i 0.905773 + 1.06612i
\(352\) −2.13674 28.5128i −0.113889 1.51974i
\(353\) −1.70882 7.48684i −0.0909515 0.398484i 0.908876 0.417067i \(-0.136942\pi\)
−0.999827 + 0.0185823i \(0.994085\pi\)
\(354\) −1.16525 + 0.505467i −0.0619325 + 0.0268652i
\(355\) 5.63746 + 7.06915i 0.299205 + 0.375192i
\(356\) 1.06800 14.2515i 0.0566040 0.755327i
\(357\) 31.1520 8.97923i 1.64874 0.475231i
\(358\) −1.98002 26.4215i −0.104647 1.39642i
\(359\) 26.5863 24.6685i 1.40317 1.30195i 0.504441 0.863446i \(-0.331699\pi\)
0.898729 0.438505i \(-0.144492\pi\)
\(360\) 4.57813 + 6.77624i 0.241289 + 0.357139i
\(361\) 9.48530 16.4290i 0.499227 0.864686i
\(362\) −22.9233 + 39.7043i −1.20482 + 2.08681i
\(363\) −3.23577 4.40376i −0.169834 0.231138i
\(364\) −35.5662 + 6.12514i −1.86417 + 0.321045i
\(365\) 9.53107 + 24.2848i 0.498879 + 1.27112i
\(366\) −30.7676 5.88891i −1.60825 0.307818i
\(367\) −4.33753 2.08884i −0.226417 0.109037i 0.317236 0.948347i \(-0.397245\pi\)
−0.543654 + 0.839310i \(0.682959\pi\)
\(368\) 5.86428 3.99820i 0.305697 0.208420i
\(369\) −4.91724 16.1838i −0.255981 0.842496i
\(370\) −9.35607 + 11.7321i −0.486399 + 0.609925i
\(371\) 17.4118 16.8480i 0.903977 0.874707i
\(372\) −36.1315 + 3.99375i −1.87333 + 0.207066i
\(373\) 5.59647 0.289774 0.144887 0.989448i \(-0.453718\pi\)
0.144887 + 0.989448i \(0.453718\pi\)
\(374\) 28.8658 + 49.9970i 1.49261 + 2.58528i
\(375\) −12.4734 16.9758i −0.644124 0.876627i
\(376\) −16.0871 4.96222i −0.829629 0.255907i
\(377\) −26.4917 12.7578i −1.36439 0.657058i
\(378\) 13.5465 26.5634i 0.696759 1.36627i
\(379\) −10.5088 + 5.06075i −0.539799 + 0.259953i −0.683857 0.729616i \(-0.739699\pi\)
0.144058 + 0.989569i \(0.453985\pi\)
\(380\) −0.818029 + 0.123298i −0.0419640 + 0.00632505i
\(381\) 10.2392 4.44159i 0.524570 0.227549i
\(382\) −25.5020 + 23.6624i −1.30479 + 1.21067i
\(383\) 1.77078 + 0.852762i 0.0904826 + 0.0435741i 0.478578 0.878045i \(-0.341153\pi\)
−0.388095 + 0.921619i \(0.626867\pi\)
\(384\) 14.0104 + 14.0698i 0.714968 + 0.717995i
\(385\) 14.4625 10.3106i 0.737079 0.525478i
\(386\) 0.890975 + 3.90362i 0.0453494 + 0.198689i
\(387\) 18.9490 4.24082i 0.963232 0.215573i
\(388\) 1.23435 + 3.14508i 0.0626648 + 0.159667i
\(389\) −1.55298 + 6.80404i −0.0787391 + 0.344978i −0.998917 0.0465213i \(-0.985186\pi\)
0.920178 + 0.391500i \(0.128044\pi\)
\(390\) −27.1618 20.1351i −1.37539 1.01958i
\(391\) −11.9830 + 20.7551i −0.606004 + 1.04963i
\(392\) 5.73013 + 9.02917i 0.289415 + 0.456042i
\(393\) 17.3233 + 0.684850i 0.873846 + 0.0345461i
\(394\) 2.95633 39.4495i 0.148938 1.98743i
\(395\) −4.26506 3.95740i −0.214599 0.199118i
\(396\) 29.7297 + 6.91791i 1.49397 + 0.347638i
\(397\) −19.2323 + 5.93238i −0.965242 + 0.297738i −0.737020 0.675871i \(-0.763768\pi\)
−0.228223 + 0.973609i \(0.573291\pi\)
\(398\) −2.25594 + 2.09321i −0.113080 + 0.104923i
\(399\) 0.478342 + 0.623217i 0.0239471 + 0.0311999i
\(400\) −2.78938 2.58817i −0.139469 0.129408i
\(401\) −22.3650 10.7704i −1.11686 0.537850i −0.217937 0.975963i \(-0.569933\pi\)
−0.898920 + 0.438113i \(0.855647\pi\)
\(402\) −4.72265 25.2518i −0.235545 1.25945i
\(403\) 35.2680 16.9842i 1.75682 0.846041i
\(404\) −9.82668 + 25.0380i −0.488896 + 1.24569i
\(405\) 15.3850 4.60361i 0.764488 0.228755i
\(406\) −1.80069 + 33.4040i −0.0893665 + 1.65781i
\(407\) 1.09016 + 14.5471i 0.0540371 + 0.721075i
\(408\) −17.6565 6.22017i −0.874125 0.307944i
\(409\) 1.43292 3.65102i 0.0708533 0.180531i −0.891060 0.453885i \(-0.850038\pi\)
0.961914 + 0.273354i \(0.0881329\pi\)
\(410\) 10.9101 + 18.8969i 0.538813 + 0.933252i
\(411\) 1.30978 + 0.0517801i 0.0646067 + 0.00255412i
\(412\) 7.85147 20.0052i 0.386814 0.985586i
\(413\) −0.813901 0.371159i −0.0400494 0.0182636i
\(414\) 6.40803 + 21.0903i 0.314937 + 1.03653i
\(415\) 8.71840 + 1.31409i 0.427969 + 0.0645060i
\(416\) −34.5368 16.6320i −1.69330 0.815452i
\(417\) −31.0204 + 19.4001i −1.51908 + 0.950029i
\(418\) −0.872252 + 1.09377i −0.0426633 + 0.0534980i
\(419\) 1.49898 + 3.81933i 0.0732297 + 0.186586i 0.962802 0.270208i \(-0.0870926\pi\)
−0.889572 + 0.456795i \(0.848997\pi\)
\(420\) −5.32004 + 21.4636i −0.259591 + 1.04732i
\(421\) 2.35459 5.99940i 0.114756 0.292393i −0.861944 0.507004i \(-0.830753\pi\)
0.976700 + 0.214611i \(0.0688483\pi\)
\(422\) 13.0581 + 22.6173i 0.635658 + 1.10099i
\(423\) −18.7383 + 27.2361i −0.911089 + 1.32426i
\(424\) −13.8338 + 2.08511i −0.671830 + 0.101262i
\(425\) 12.2778 + 3.78721i 0.595563 + 0.183707i
\(426\) −16.1401 + 10.0940i −0.781989 + 0.489055i
\(427\) −11.4287 18.8710i −0.553076 0.913233i
\(428\) 2.77047 36.9693i 0.133916 1.78698i
\(429\) −32.6702 + 3.61115i −1.57733 + 0.174348i
\(430\) −22.5691 + 10.8687i −1.08838 + 0.524135i
\(431\) −8.79237 2.71209i −0.423513 0.130637i 0.0756701 0.997133i \(-0.475890\pi\)
−0.499183 + 0.866496i \(0.666367\pi\)
\(432\) 9.65733 5.02599i 0.464638 0.241813i
\(433\) −5.52279 + 24.1969i −0.265409 + 1.16283i 0.649881 + 0.760036i \(0.274819\pi\)
−0.915290 + 0.402795i \(0.868039\pi\)
\(434\) −33.2735 29.6009i −1.59718 1.42089i
\(435\) −13.6807 + 11.7229i −0.655938 + 0.562072i
\(436\) −7.28380 + 31.9124i −0.348831 + 1.52833i
\(437\) −0.574269 0.0865571i −0.0274710 0.00414059i
\(438\) −53.0843 + 14.1037i −2.53646 + 0.673903i
\(439\) 1.85911 24.8080i 0.0887303 1.18402i −0.758092 0.652148i \(-0.773868\pi\)
0.846822 0.531876i \(-0.178513\pi\)
\(440\) −10.2559 −0.488929
\(441\) 20.2830 5.44058i 0.965857 0.259075i
\(442\) 77.3979 3.68144
\(443\) −1.55027 + 20.6870i −0.0736558 + 0.982868i 0.830875 + 0.556459i \(0.187840\pi\)
−0.904531 + 0.426409i \(0.859779\pi\)
\(444\) −12.8153 12.8695i −0.608185 0.610760i
\(445\) 9.32420 + 1.40540i 0.442010 + 0.0666222i
\(446\) −11.2790 + 49.4164i −0.534075 + 2.33993i
\(447\) 0.122594 + 0.655504i 0.00579849 + 0.0310043i
\(448\) −1.75074 + 32.4775i −0.0827148 + 1.53442i
\(449\) −2.56222 + 11.2258i −0.120919 + 0.529780i 0.877793 + 0.479040i \(0.159015\pi\)
−0.998712 + 0.0507398i \(0.983842\pi\)
\(450\) 10.2591 5.86540i 0.483616 0.276498i
\(451\) 20.2700 + 6.25247i 0.954477 + 0.294417i
\(452\) 34.7873 16.7527i 1.63626 0.787981i
\(453\) 17.0968 + 23.2681i 0.803279 + 1.09323i
\(454\) −1.48888 + 19.8678i −0.0698768 + 0.932441i
\(455\) −2.27642 23.7030i −0.106720 1.11121i
\(456\) −0.0160041 0.453353i −0.000749461 0.0212302i
\(457\) 21.0194 + 6.48363i 0.983246 + 0.303291i 0.744376 0.667760i \(-0.232747\pi\)
0.238870 + 0.971052i \(0.423223\pi\)
\(458\) 15.6527 2.35927i 0.731403 0.110241i
\(459\) −22.0166 + 29.4390i −1.02765 + 1.37409i
\(460\) −8.17328 14.1565i −0.381081 0.660052i
\(461\) 4.41538 11.2502i 0.205645 0.523975i −0.790424 0.612561i \(-0.790140\pi\)
0.996069 + 0.0885860i \(0.0282348\pi\)
\(462\) 18.0931 + 32.7267i 0.841767 + 1.52259i
\(463\) 7.72069 + 19.6720i 0.358811 + 0.914235i 0.990312 + 0.138860i \(0.0443438\pi\)
−0.631501 + 0.775375i \(0.717561\pi\)
\(464\) −7.61519 + 9.54915i −0.353526 + 0.443308i
\(465\) −0.846176 23.9699i −0.0392405 1.11158i
\(466\) −45.6773 21.9970i −2.11596 1.01899i
\(467\) 31.4131 + 4.73476i 1.45363 + 0.219099i 0.827870 0.560920i \(-0.189553\pi\)
0.625756 + 0.780019i \(0.284791\pi\)
\(468\) 27.9605 29.8800i 1.29247 1.38120i
\(469\) 10.9817 14.3784i 0.507088 0.663931i
\(470\) 15.5812 39.7001i 0.718705 1.83123i
\(471\) 2.38202 + 4.53015i 0.109758 + 0.208738i
\(472\) 0.258261 + 0.447320i 0.0118874 + 0.0205896i
\(473\) −8.89677 + 22.6686i −0.409074 + 1.04230i
\(474\) 9.30177 7.97068i 0.427245 0.366105i
\(475\) 0.0232677 + 0.310486i 0.00106760 + 0.0142461i
\(476\) −19.4763 46.7229i −0.892695 2.14154i
\(477\) −4.20936 + 27.1483i −0.192733 + 1.24304i
\(478\) −11.3416 + 28.8979i −0.518752 + 1.32176i
\(479\) 7.71975 3.71763i 0.352724 0.169863i −0.249128 0.968471i \(-0.580144\pi\)
0.601852 + 0.798608i \(0.294430\pi\)
\(480\) −17.8352 + 15.2830i −0.814062 + 0.697569i
\(481\) 17.6205 + 8.48561i 0.803428 + 0.386910i
\(482\) 3.96109 + 3.67536i 0.180423 + 0.167408i
\(483\) −8.01013 + 13.2975i −0.364474 + 0.605058i
\(484\) −6.25470 + 5.80351i −0.284305 + 0.263796i
\(485\) −2.13019 + 0.657077i −0.0967270 + 0.0298363i
\(486\) 5.93447 + 33.2857i 0.269193 + 1.50987i
\(487\) 4.14910 + 3.84980i 0.188014 + 0.174451i 0.768563 0.639774i \(-0.220972\pi\)
−0.580550 + 0.814225i \(0.697162\pi\)
\(488\) −0.951987 + 12.7034i −0.0430944 + 0.575055i
\(489\) −5.47343 10.4094i −0.247517 0.470730i
\(490\) −23.8944 + 12.7662i −1.07944 + 0.576718i
\(491\) 20.7350 35.9140i 0.935756 1.62078i 0.162477 0.986712i \(-0.448052\pi\)
0.773280 0.634065i \(-0.218615\pi\)
\(492\) −24.2281 + 10.5097i −1.09229 + 0.473815i
\(493\) 9.17714 40.2077i 0.413318 1.81086i
\(494\) 0.685215 + 1.74590i 0.0308293 + 0.0785517i
\(495\) −6.01756 + 19.2197i −0.270469 + 0.863862i
\(496\) −3.61820 15.8524i −0.162462 0.711792i
\(497\) −12.8912 3.68255i −0.578248 0.165185i
\(498\) −4.84234 + 17.9203i −0.216990 + 0.803029i
\(499\) −13.7170 6.60577i −0.614058 0.295715i 0.100884 0.994898i \(-0.467833\pi\)
−0.714942 + 0.699183i \(0.753547\pi\)
\(500\) −24.1109 + 22.3716i −1.07827 + 1.00049i
\(501\) −0.165039 + 1.43746i −0.00737342 + 0.0642210i
\(502\) −12.7140 + 1.91632i −0.567451 + 0.0855295i
\(503\) 34.3306 16.5327i 1.53072 0.737158i 0.536442 0.843937i \(-0.319768\pi\)
0.994283 + 0.106779i \(0.0340537\pi\)
\(504\) −11.3601 4.24071i −0.506017 0.188896i
\(505\) −15.9894 7.70008i −0.711518 0.342649i
\(506\) −26.4153 8.14805i −1.17431 0.362225i
\(507\) −8.65913 + 19.7331i −0.384566 + 0.876377i
\(508\) −8.71319 15.0917i −0.386585 0.669585i
\(509\) −40.6531 −1.80192 −0.900959 0.433905i \(-0.857135\pi\)
−0.900959 + 0.433905i \(0.857135\pi\)
\(510\) 19.0561 43.4265i 0.843819 1.92296i
\(511\) −32.4104 21.1165i −1.43375 0.934139i
\(512\) −13.9191 + 17.4540i −0.615145 + 0.771367i
\(513\) −0.858985 0.236010i −0.0379251 0.0104201i
\(514\) 18.7469 12.7814i 0.826892 0.563765i
\(515\) 12.7754 + 6.15232i 0.562953 + 0.271104i
\(516\) −9.95294 28.6378i −0.438154 1.26071i
\(517\) −15.1471 38.5941i −0.666168 1.69737i
\(518\) 1.19770 22.2181i 0.0526237 0.976207i
\(519\) 6.37286 0.704416i 0.279738 0.0309204i
\(520\) −6.87476 + 11.9074i −0.301478 + 0.522176i
\(521\) −3.56780 + 6.17961i −0.156308 + 0.270734i −0.933535 0.358487i \(-0.883293\pi\)
0.777226 + 0.629221i \(0.216626\pi\)
\(522\) −21.2350 31.4305i −0.929429 1.37568i
\(523\) −25.3513 + 23.5226i −1.10853 + 1.02857i −0.109132 + 0.994027i \(0.534807\pi\)
−0.999403 + 0.0345427i \(0.989003\pi\)
\(524\) −2.02287 26.9933i −0.0883696 1.17921i
\(525\) 7.90596 + 2.60037i 0.345045 + 0.113489i
\(526\) 0.537987 7.17894i 0.0234573 0.313016i
\(527\) 34.2323 + 42.9259i 1.49118 + 1.86988i
\(528\) −1.55735 + 13.5642i −0.0677751 + 0.590307i
\(529\) 2.56443 + 11.2355i 0.111497 + 0.488501i
\(530\) −2.64851 35.3420i −0.115044 1.53516i
\(531\) 0.989822 0.221524i 0.0429546 0.00961332i
\(532\) 0.881523 0.852981i 0.0382189 0.0369814i
\(533\) 20.8468 19.3430i 0.902977 0.837840i
\(534\) −5.17881 + 19.1655i −0.224109 + 0.829373i
\(535\) 24.1876 + 3.64569i 1.04572 + 0.157617i
\(536\) −9.98276 + 3.07927i −0.431190 + 0.133004i
\(537\) −2.41342 + 21.0204i −0.104147 + 0.907098i
\(538\) −4.64409 8.04380i −0.200221 0.346793i
\(539\) −8.58658 + 24.8972i −0.369850 + 1.07240i
\(540\) −9.88097 23.0449i −0.425209 0.991693i
\(541\) −12.9182 8.80749i −0.555397 0.378663i 0.252851 0.967505i \(-0.418632\pi\)
−0.808248 + 0.588842i \(0.799584\pi\)
\(542\) −8.34676 + 36.5696i −0.358524 + 1.57080i
\(543\) 23.9398 27.7000i 1.02736 1.18872i
\(544\) 11.9641 52.4180i 0.512955 2.24740i
\(545\) −20.6378 6.36593i −0.884027 0.272686i
\(546\) 50.1252 + 0.930794i 2.14516 + 0.0398343i
\(547\) −26.2253 + 8.08943i −1.12131 + 0.345879i −0.799345 0.600872i \(-0.794820\pi\)
−0.321967 + 0.946751i \(0.604344\pi\)
\(548\) −0.152945 2.04091i −0.00653349 0.0871833i
\(549\) 23.2479 + 9.23768i 0.992195 + 0.394255i
\(550\) −1.10752 + 14.7789i −0.0472249 + 0.630172i
\(551\) 0.988230 0.148952i 0.0421000 0.00634556i
\(552\) 8.22333 3.56714i 0.350008 0.151828i
\(553\) 8.55577 + 1.10685i 0.363828 + 0.0470680i
\(554\) −23.9817 + 16.3504i −1.01888 + 0.694663i
\(555\) 9.09947 7.79732i 0.386251 0.330978i
\(556\) 35.6174 + 44.6629i 1.51052 + 1.89413i
\(557\) 12.8054 22.1796i 0.542581 0.939778i −0.456173 0.889891i \(-0.650780\pi\)
0.998755 0.0498876i \(-0.0158863\pi\)
\(558\) 50.3399 + 3.98645i 2.13106 + 0.168760i
\(559\) 20.3554 + 25.5248i 0.860940 + 1.07958i
\(560\) −9.80943 1.26903i −0.414524 0.0536264i
\(561\) −15.1347 43.5474i −0.638987 1.83857i
\(562\) 17.9598 22.5208i 0.757586 0.949983i
\(563\) 0.374736 + 5.00050i 0.0157932 + 0.210746i 0.999517 + 0.0310612i \(0.00988869\pi\)
−0.983724 + 0.179685i \(0.942492\pi\)
\(564\) 45.5849 + 24.2157i 1.91947 + 1.01966i
\(565\) 9.30729 + 23.7146i 0.391561 + 0.997680i
\(566\) −10.4200 + 13.0662i −0.437984 + 0.549214i
\(567\) −14.6126 + 18.8008i −0.613673 + 0.789560i
\(568\) 4.82666 + 6.05244i 0.202522 + 0.253955i
\(569\) 4.88078 8.45376i 0.204613 0.354400i −0.745396 0.666622i \(-0.767740\pi\)
0.950009 + 0.312221i \(0.101073\pi\)
\(570\) 1.14830 + 0.0453962i 0.0480969 + 0.00190144i
\(571\) 10.3363 26.3365i 0.432561 1.10215i −0.533949 0.845517i \(-0.679293\pi\)
0.966510 0.256630i \(-0.0826122\pi\)
\(572\) 11.4199 + 50.0338i 0.477489 + 2.09202i
\(573\) 23.5541 14.7307i 0.983987 0.615384i
\(574\) −29.4379 13.4244i −1.22871 0.560325i
\(575\) −5.54303 + 2.66938i −0.231160 + 0.111321i
\(576\) −20.6460 30.5588i −0.860250 1.27328i
\(577\) 2.61076 34.8382i 0.108687 1.45033i −0.630162 0.776463i \(-0.717012\pi\)
0.738850 0.673870i \(-0.235369\pi\)
\(578\) 15.9518 + 69.8892i 0.663506 + 2.90701i
\(579\) −0.112805 3.19547i −0.00468803 0.132799i
\(580\) 20.6207 + 19.1332i 0.856228 + 0.794464i
\(581\) −11.6573 + 5.91777i −0.483627 + 0.245510i
\(582\) −0.862814 4.61342i −0.0357648 0.191233i
\(583\) −25.2564 23.4345i −1.04601 0.970558i
\(584\) 8.16027 + 20.7920i 0.337674 + 0.860381i
\(585\) 18.2811 + 19.8701i 0.755830 + 0.821527i
\(586\) 31.9532 + 21.7853i 1.31998 + 0.899944i
\(587\) 11.3734 + 19.6993i 0.469430 + 0.813077i 0.999389 0.0349465i \(-0.0111261\pi\)
−0.529959 + 0.848023i \(0.677793\pi\)
\(588\) −12.0516 30.4934i −0.496998 1.25753i
\(589\) −0.665236 + 1.15222i −0.0274106 + 0.0474765i
\(590\) −1.17892 + 0.567738i −0.0485354 + 0.0233734i
\(591\) −8.24089 + 30.4975i −0.338985 + 1.25450i
\(592\) 5.06512 6.35146i 0.208175 0.261043i
\(593\) −14.2343 + 4.39070i −0.584532 + 0.180304i −0.572896 0.819628i \(-0.694180\pi\)
−0.0116361 + 0.999932i \(0.503704\pi\)
\(594\) −38.7559 17.2023i −1.59018 0.705818i
\(595\) 31.7020 10.5108i 1.29965 0.430900i
\(596\) 0.994963 0.306905i 0.0407553 0.0125713i
\(597\) 2.08363 1.30310i 0.0852773 0.0533323i
\(598\) −27.1671 + 25.2074i −1.11094 + 1.03081i
\(599\) −12.2842 8.37520i −0.501917 0.342201i 0.285748 0.958305i \(-0.407758\pi\)
−0.787665 + 0.616103i \(0.788710\pi\)
\(600\) −2.84551 3.87263i −0.116167 0.158099i
\(601\) 18.8723 + 12.8669i 0.769817 + 0.524852i 0.883368 0.468680i \(-0.155270\pi\)
−0.113551 + 0.993532i \(0.536223\pi\)
\(602\) 17.8937 32.5487i 0.729293 1.32658i
\(603\) −0.0866930 + 20.5147i −0.00353041 + 0.835422i
\(604\) 33.0479 30.6640i 1.34470 1.24770i
\(605\) −3.51006 4.40148i −0.142704 0.178945i
\(606\) 19.9458 31.5951i 0.810241 1.28346i
\(607\) 2.20623 0.0895481 0.0447741 0.998997i \(-0.485743\pi\)
0.0447741 + 0.998997i \(0.485743\pi\)
\(608\) 1.28834 0.194185i 0.0522489 0.00787526i
\(609\) 6.42694 25.9294i 0.260433 1.05071i
\(610\) −31.9113 4.80985i −1.29205 0.194745i
\(611\) −54.9627 8.28430i −2.22355 0.335147i
\(612\) 49.5859 + 28.9085i 2.00439 + 1.16856i
\(613\) −24.3239 + 16.5838i −0.982435 + 0.669813i −0.944171 0.329455i \(-0.893135\pi\)
−0.0382635 + 0.999268i \(0.512183\pi\)
\(614\) −18.5488 47.2617i −0.748570 1.90733i
\(615\) −5.72032 16.4592i −0.230666 0.663700i
\(616\) 12.3825 8.82770i 0.498904 0.355678i
\(617\) −17.9699 + 2.70853i −0.723442 + 0.109041i −0.500433 0.865775i \(-0.666826\pi\)
−0.223009 + 0.974816i \(0.571588\pi\)
\(618\) −15.9366 + 25.2443i −0.641063 + 1.01548i
\(619\) 17.3184 0.696086 0.348043 0.937479i \(-0.386846\pi\)
0.348043 + 0.937479i \(0.386846\pi\)
\(620\) −37.0306 + 5.58147i −1.48718 + 0.224157i
\(621\) −1.85991 17.5037i −0.0746357 0.702400i
\(622\) 5.96563 + 2.87290i 0.239200 + 0.115193i
\(623\) −12.4673 + 6.32897i −0.499493 + 0.253565i
\(624\) 14.7046 + 10.9006i 0.588657 + 0.436373i
\(625\) −7.86899 9.86740i −0.314759 0.394696i
\(626\) −43.3688 29.5684i −1.73337 1.18179i
\(627\) 0.848329 0.726932i 0.0338790 0.0290309i
\(628\) 6.60279 4.50171i 0.263480 0.179638i
\(629\) −6.10402 + 26.7435i −0.243383 + 1.06633i
\(630\) 12.8636 27.8952i 0.512497 1.11137i
\(631\) −8.78120 38.4730i −0.349574 1.53158i −0.778150 0.628079i \(-0.783842\pi\)
0.428576 0.903506i \(-0.359016\pi\)
\(632\) −3.65165 3.38823i −0.145255 0.134777i
\(633\) −6.84652 19.6996i −0.272125 0.782991i
\(634\) 18.2914 5.64214i 0.726443 0.224078i
\(635\) 10.3593 4.98877i 0.411096 0.197973i
\(636\) 42.8613 + 1.69445i 1.69956 + 0.0671894i
\(637\) 23.1507 + 26.6585i 0.917266 + 1.05625i
\(638\) 47.5702 1.88332
\(639\) 14.1744 5.49404i 0.560732 0.217341i
\(640\) 14.9947 + 13.9130i 0.592717 + 0.549961i
\(641\) 29.3966 36.8622i 1.16110 1.45597i 0.295416 0.955369i \(-0.404542\pi\)
0.865679 0.500599i \(-0.166887\pi\)
\(642\) −13.4342 + 49.7166i −0.530205 + 1.96216i
\(643\) 10.4338 + 3.21839i 0.411468 + 0.126921i 0.493577 0.869702i \(-0.335689\pi\)
−0.0821087 + 0.996623i \(0.526165\pi\)
\(644\) 22.0533 + 10.0568i 0.869020 + 0.396295i
\(645\) 19.3332 5.13656i 0.761244 0.202252i
\(646\) −2.17355 + 1.48190i −0.0855172 + 0.0583047i
\(647\) −5.66018 1.74594i −0.222525 0.0686398i 0.181488 0.983393i \(-0.441909\pi\)
−0.404013 + 0.914753i \(0.632385\pi\)
\(648\) 13.1723 3.94150i 0.517456 0.154837i
\(649\) −0.464732 + 1.18412i −0.0182423 + 0.0464807i
\(650\) 16.4164 + 11.1925i 0.643904 + 0.439007i
\(651\) 21.6536 + 28.2118i 0.848673 + 1.10571i
\(652\) −15.1720 + 10.3441i −0.594180 + 0.405105i
\(653\) 0.758498 + 3.32320i 0.0296823 + 0.130047i 0.987598 0.157002i \(-0.0501829\pi\)
−0.957916 + 0.287049i \(0.907326\pi\)
\(654\) 18.2715 41.6385i 0.714472 1.62819i
\(655\) 17.8602 0.697856
\(656\) −5.90645 10.2303i −0.230608 0.399425i
\(657\) 43.7528 3.09294i 1.70696 0.120667i
\(658\) 15.3598 + 61.3436i 0.598787 + 2.39142i
\(659\) −10.9116 1.64466i −0.425055 0.0640668i −0.0669685 0.997755i \(-0.521333\pi\)
−0.358087 + 0.933688i \(0.616571\pi\)
\(660\) 30.8847 + 5.91132i 1.20219 + 0.230098i
\(661\) 0.592012 + 7.89984i 0.0230266 + 0.307268i 0.996811 + 0.0797963i \(0.0254270\pi\)
−0.973785 + 0.227472i \(0.926954\pi\)
\(662\) −2.43392 32.4785i −0.0945971 1.26231i
\(663\) −60.7054 11.6190i −2.35760 0.451244i
\(664\) 7.46449 + 1.12509i 0.289678 + 0.0436620i
\(665\) 0.517759 + 0.622062i 0.0200778 + 0.0241225i
\(666\) 14.1241 + 20.9055i 0.547297 + 0.810071i
\(667\) 9.87383 + 17.1020i 0.382316 + 0.662191i
\(668\) 2.25913 0.0874085
\(669\) 16.2648 37.0655i 0.628834 1.43303i
\(670\) −5.88904 25.8016i −0.227513 0.996802i
\(671\) −25.9213 + 17.6729i −1.00068 + 0.682253i
\(672\) 8.37867 33.8036i 0.323214 1.30400i
\(673\) −22.1496 15.1013i −0.853803 0.582113i 0.0554007 0.998464i \(-0.482356\pi\)
−0.909204 + 0.416351i \(0.863309\pi\)
\(674\) 14.1826 36.1366i 0.546292 1.39193i
\(675\) −8.92698 + 3.06031i −0.343600 + 0.117791i
\(676\) 32.1515 + 9.91742i 1.23660 + 0.381439i
\(677\) −8.30283 + 5.66078i −0.319104 + 0.217561i −0.712269 0.701907i \(-0.752332\pi\)
0.393165 + 0.919468i \(0.371380\pi\)
\(678\) −51.8379 + 13.7726i −1.99082 + 0.528933i
\(679\) 2.00632 2.62688i 0.0769955 0.100810i
\(680\) −18.4284 5.68440i −0.706696 0.217987i
\(681\) 4.15033 15.3594i 0.159041 0.588572i
\(682\) −39.4852 + 49.5129i −1.51197 + 1.89595i
\(683\) −31.1711 28.9226i −1.19273 1.10669i −0.991894 0.127066i \(-0.959444\pi\)
−0.200835 0.979625i \(-0.564366\pi\)
\(684\) −0.213111 + 1.37446i −0.00814850 + 0.0525539i
\(685\) 1.35037 0.0515950
\(686\) 17.8606 35.9804i 0.681921 1.37374i
\(687\) −12.6310 0.499349i −0.481905 0.0190513i
\(688\) 12.2183 5.88401i 0.465817 0.224326i
\(689\) −44.1383 + 13.6149i −1.68154 + 0.518685i
\(690\) 7.45458 + 21.4492i 0.283791 + 0.816559i
\(691\) 33.2697 + 30.8698i 1.26564 + 1.17434i 0.976135 + 0.217164i \(0.0696807\pi\)
0.289504 + 0.957177i \(0.406510\pi\)
\(692\) −2.22764 9.75993i −0.0846822 0.371017i
\(693\) −9.27799 28.3846i −0.352442 1.07824i
\(694\) 11.2262 49.1853i 0.426142 1.86705i
\(695\) −31.1424 + 21.2325i −1.18130 + 0.805396i
\(696\) −11.7131 + 10.0369i −0.443982 + 0.380448i
\(697\) 32.9569 + 22.4697i 1.24833 + 0.851099i
\(698\) 20.4562 + 25.6513i 0.774279 + 0.970915i
\(699\) 32.5238 + 24.1100i 1.23016 + 0.911923i
\(700\) 2.62560 12.7266i 0.0992384 0.481020i
\(701\) −0.533653 0.256994i −0.0201558 0.00970652i 0.423779 0.905766i \(-0.360703\pi\)
−0.443934 + 0.896059i \(0.646418\pi\)
\(702\) −45.9516 + 33.4660i −1.73433 + 1.26309i
\(703\) −0.657305 + 0.0990728i −0.0247907 + 0.00373660i
\(704\) 46.2508 1.74314
\(705\) −18.1805 + 28.7989i −0.684718 + 1.08463i
\(706\) 16.4702 2.48248i 0.619863 0.0934293i
\(707\) 25.9327 4.46608i 0.975299 0.167964i
\(708\) −0.519903 1.49593i −0.0195391 0.0562204i
\(709\) 7.67234 + 19.5488i 0.288141 + 0.734171i 0.999508 + 0.0313509i \(0.00998094\pi\)
−0.711368 + 0.702820i \(0.751924\pi\)
\(710\) −16.2035 + 11.0474i −0.608108 + 0.414601i
\(711\) −8.49221 + 4.85525i −0.318483 + 0.182086i
\(712\) 7.98316 + 1.20327i 0.299181 + 0.0450944i
\(713\) −25.9961 3.91828i −0.973560 0.146741i
\(714\) 14.3717 + 68.8338i 0.537849 + 2.57604i
\(715\) −33.4831 + 5.04677i −1.25220 + 0.188739i
\(716\) 33.0360 1.23461
\(717\) 13.2337 20.9628i 0.494221 0.782871i
\(718\) 49.0458 + 61.5015i 1.83037 + 2.29522i
\(719\) −8.73589 + 8.10572i −0.325794 + 0.302292i −0.826063 0.563577i \(-0.809425\pi\)
0.500270 + 0.865870i \(0.333234\pi\)
\(720\) 9.73655 5.56667i 0.362860 0.207458i
\(721\) −20.7201 + 3.56838i −0.771656 + 0.132893i
\(722\) 33.9967 + 23.1786i 1.26523 + 0.862617i
\(723\) −2.55505 3.47733i −0.0950234 0.129323i
\(724\) −47.2309 32.2015i −1.75532 1.19676i
\(725\) 7.76095 7.20111i 0.288234 0.267442i
\(726\) 10.0493 6.28482i 0.372965 0.233252i
\(727\) 17.1782 5.29878i 0.637105 0.196521i 0.0406575 0.999173i \(-0.487055\pi\)
0.596447 + 0.802652i \(0.296579\pi\)
\(728\) −1.94901 20.2939i −0.0722352 0.752144i
\(729\) 0.342287 26.9978i 0.0126773 0.999920i
\(730\) −54.0701 + 16.6784i −2.00122 + 0.617295i
\(731\) −28.5506 + 35.8013i −1.05598 + 1.32416i
\(732\) 10.1889 37.7065i 0.376592 1.39367i
\(733\) −2.60841 + 1.25614i −0.0963437 + 0.0463967i −0.481435 0.876482i \(-0.659884\pi\)
0.385091 + 0.922878i \(0.374170\pi\)
\(734\) 5.22099 9.04302i 0.192710 0.333784i
\(735\) 20.6576 6.42586i 0.761966 0.237021i
\(736\) 12.8723 + 22.2955i 0.474480 + 0.821823i
\(737\) −21.2573 14.4930i −0.783024 0.533857i
\(738\) 35.8008 8.01227i 1.31784 0.294936i
\(739\) 4.28860 + 10.9272i 0.157759 + 0.401963i 0.987798 0.155743i \(-0.0497771\pi\)
−0.830039 + 0.557706i \(0.811682\pi\)
\(740\) −13.7155 12.7261i −0.504193 0.467822i
\(741\) −0.275339 1.47222i −0.0101148 0.0540835i
\(742\) 33.6182 + 40.3906i 1.23416 + 1.48279i
\(743\) −27.3016 25.3322i −1.00160 0.929349i −0.00409832 0.999992i \(-0.501305\pi\)
−0.997502 + 0.0706426i \(0.977495\pi\)
\(744\) −0.724475 20.5224i −0.0265606 0.752389i
\(745\) 0.152872 + 0.669775i 0.00560079 + 0.0245387i
\(746\) −0.907109 + 12.1045i −0.0332116 + 0.443178i
\(747\) 6.48819 13.3285i 0.237390 0.487664i
\(748\) −64.8539 + 31.2320i −2.37130 + 1.14196i
\(749\) −32.3411 + 16.4178i −1.18172 + 0.599892i
\(750\) 38.7385 24.2270i 1.41453 0.884646i
\(751\) −4.09293 17.9323i −0.149353 0.654359i −0.993065 0.117563i \(-0.962492\pi\)
0.843712 0.536796i \(-0.180365\pi\)
\(752\) −8.43520 + 21.4925i −0.307600 + 0.783752i
\(753\) 10.2596 + 0.405597i 0.373880 + 0.0147808i
\(754\) 31.8875 55.2308i 1.16127 2.01139i
\(755\) 18.5461 + 23.2560i 0.674960 + 0.846373i
\(756\) 31.7657 + 19.3183i 1.15531 + 0.702601i
\(757\) −2.97409 + 3.72939i −0.108095 + 0.135547i −0.832936 0.553369i \(-0.813342\pi\)
0.724841 + 0.688916i \(0.241913\pi\)
\(758\) −9.24251 23.5495i −0.335703 0.855358i
\(759\) 19.4951 + 10.3562i 0.707628 + 0.375907i
\(760\) −0.0349236 0.466023i −0.00126681 0.0169044i
\(761\) 24.3729 30.5627i 0.883518 1.10790i −0.109967 0.993935i \(-0.535074\pi\)
0.993485 0.113962i \(-0.0363542\pi\)
\(762\) 7.94702 + 22.8661i 0.287890 + 0.828353i
\(763\) 30.3967 10.0780i 1.10043 0.364849i
\(764\) −27.0447 33.9129i −0.978441 1.22693i
\(765\) −21.4655 + 31.1999i −0.776085 + 1.12804i
\(766\) −2.13145 + 3.69177i −0.0770123 + 0.133389i
\(767\) 1.06328 + 1.33332i 0.0383930 + 0.0481433i
\(768\) −0.365592 + 0.313276i −0.0131922 + 0.0113044i
\(769\) −34.9805 + 23.8493i −1.26143 + 0.860029i −0.994607 0.103716i \(-0.966927\pi\)
−0.266824 + 0.963745i \(0.585974\pi\)
\(770\) 19.9565 + 32.9520i 0.719183 + 1.18751i
\(771\) −16.6225 + 7.21055i −0.598645 + 0.259682i
\(772\) −4.93662 + 0.744076i −0.177673 + 0.0267799i
\(773\) −0.00727095