Properties

Label 128.3.l.a.3.15
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.15
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.203195 + 1.98965i) q^{2} +(2.70039 - 2.21615i) q^{3} +(-3.91742 - 0.808573i) q^{4} +(7.86468 + 2.38573i) q^{5} +(3.86067 + 5.82314i) q^{6} +(-2.00235 - 10.0665i) q^{7} +(2.40478 - 7.63001i) q^{8} +(0.624959 - 3.14188i) q^{9} +O(q^{10})\) \(q+(-0.203195 + 1.98965i) q^{2} +(2.70039 - 2.21615i) q^{3} +(-3.91742 - 0.808573i) q^{4} +(7.86468 + 2.38573i) q^{5} +(3.86067 + 5.82314i) q^{6} +(-2.00235 - 10.0665i) q^{7} +(2.40478 - 7.63001i) q^{8} +(0.624959 - 3.14188i) q^{9} +(-6.34482 + 15.1632i) q^{10} +(-0.496976 - 5.04589i) q^{11} +(-12.3705 + 6.49815i) q^{12} +(4.42453 + 14.5857i) q^{13} +(20.4357 - 1.93853i) q^{14} +(26.5248 - 10.9869i) q^{15} +(14.6924 + 6.33504i) q^{16} +(3.79620 - 9.16483i) q^{17} +(6.12426 + 1.88186i) q^{18} +(-14.2242 + 26.6116i) q^{19} +(-28.8803 - 15.7051i) q^{20} +(-27.7161 - 22.7460i) q^{21} +(10.1405 + 0.0364871i) q^{22} +(-9.19133 + 6.14145i) q^{23} +(-10.4154 - 25.9334i) q^{24} +(35.3748 + 23.6367i) q^{25} +(-29.9195 + 5.83953i) q^{26} +(9.54549 + 17.8584i) q^{27} +(-0.295439 + 41.0539i) q^{28} +(-1.72942 + 17.5591i) q^{29} +(16.4705 + 55.0077i) q^{30} +(-36.5215 - 36.5215i) q^{31} +(-15.5899 + 27.9455i) q^{32} +(-12.5245 - 12.5245i) q^{33} +(17.4634 + 9.41535i) q^{34} +(8.26806 - 83.9470i) q^{35} +(-4.98867 + 11.8028i) q^{36} +(-29.8268 - 55.8021i) q^{37} +(-50.0575 - 33.7085i) q^{38} +(44.2721 + 29.5817i) q^{39} +(37.1159 - 54.2705i) q^{40} +(-31.5638 + 21.0903i) q^{41} +(50.8883 - 50.5235i) q^{42} +(29.0695 + 23.8567i) q^{43} +(-2.13310 + 20.1687i) q^{44} +(12.4108 - 23.2189i) q^{45} +(-10.3517 - 19.5354i) q^{46} +(15.5404 - 37.5178i) q^{47} +(53.7147 - 15.4536i) q^{48} +(-52.0552 + 21.5620i) q^{49} +(-54.2168 + 65.5807i) q^{50} +(-10.0594 - 33.1616i) q^{51} +(-5.53914 - 60.7160i) q^{52} +(-2.26481 - 22.9950i) q^{53} +(-37.4715 + 15.3635i) q^{54} +(8.12954 - 40.8699i) q^{55} +(-81.6228 - 8.92974i) q^{56} +(20.5645 + 103.385i) q^{57} +(-34.5850 - 7.00885i) q^{58} +(20.4249 + 6.19582i) q^{59} +(-112.793 + 21.5933i) q^{60} +(-25.8020 + 21.1751i) q^{61} +(80.0860 - 65.2440i) q^{62} -32.8792 q^{63} +(-52.4341 - 36.6969i) q^{64} +125.268i q^{65} +(27.4643 - 22.3744i) q^{66} +(21.1721 + 25.7983i) q^{67} +(-22.2817 + 32.8330i) q^{68} +(-11.2098 + 36.9537i) q^{69} +(165.345 + 33.5081i) q^{70} +(-81.7160 + 16.2543i) q^{71} +(-22.4697 - 12.3240i) q^{72} +(-4.57479 - 0.909982i) q^{73} +(117.087 - 48.0063i) q^{74} +(147.908 - 14.5677i) q^{75} +(77.2396 - 92.7475i) q^{76} +(-49.7994 + 15.1065i) q^{77} +(-67.8531 + 82.0752i) q^{78} +(4.68449 + 11.3094i) q^{79} +(100.438 + 84.8752i) q^{80} +(91.9897 + 38.1034i) q^{81} +(-35.5487 - 67.0864i) q^{82} +(13.8569 + 7.40666i) q^{83} +(90.1838 + 111.516i) q^{84} +(51.7206 - 63.0218i) q^{85} +(-53.3732 + 52.9905i) q^{86} +(34.2435 + 51.2490i) q^{87} +(-39.6953 - 8.34230i) q^{88} +(-61.7322 + 92.3888i) q^{89} +(43.6758 + 29.4111i) q^{90} +(137.968 - 73.7454i) q^{91} +(40.9721 - 16.6268i) q^{92} +(-179.559 - 17.6851i) q^{93} +(71.4896 + 38.5434i) q^{94} +(-175.357 + 175.357i) q^{95} +(19.8326 + 110.014i) q^{96} +(26.4505 - 26.4505i) q^{97} +(-32.3235 - 107.953i) q^{98} +(-16.1642 - 1.59203i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.203195 + 1.98965i −0.101597 + 0.994826i
\(3\) 2.70039 2.21615i 0.900130 0.738717i −0.0657150 0.997838i \(-0.520933\pi\)
0.965845 + 0.259121i \(0.0834328\pi\)
\(4\) −3.91742 0.808573i −0.979356 0.202143i
\(5\) 7.86468 + 2.38573i 1.57294 + 0.477145i 0.951842 0.306590i \(-0.0991881\pi\)
0.621095 + 0.783735i \(0.286688\pi\)
\(6\) 3.86067 + 5.82314i 0.643444 + 0.970524i
\(7\) −2.00235 10.0665i −0.286051 1.43807i −0.810053 0.586357i \(-0.800562\pi\)
0.524002 0.851717i \(-0.324438\pi\)
\(8\) 2.40478 7.63001i 0.300597 0.953751i
\(9\) 0.624959 3.14188i 0.0694399 0.349098i
\(10\) −6.34482 + 15.1632i −0.634482 + 1.51632i
\(11\) −0.496976 5.04589i −0.0451797 0.458717i −0.990984 0.133980i \(-0.957224\pi\)
0.945804 0.324737i \(-0.105276\pi\)
\(12\) −12.3705 + 6.49815i −1.03087 + 0.541512i
\(13\) 4.42453 + 14.5857i 0.340348 + 1.12198i 0.945433 + 0.325817i \(0.105639\pi\)
−0.605085 + 0.796161i \(0.706861\pi\)
\(14\) 20.4357 1.93853i 1.45969 0.138466i
\(15\) 26.5248 10.9869i 1.76832 0.732463i
\(16\) 14.6924 + 6.33504i 0.918276 + 0.395940i
\(17\) 3.79620 9.16483i 0.223306 0.539107i −0.772029 0.635587i \(-0.780758\pi\)
0.995335 + 0.0964794i \(0.0307582\pi\)
\(18\) 6.12426 + 1.88186i 0.340237 + 0.104548i
\(19\) −14.2242 + 26.6116i −0.748641 + 1.40061i 0.161738 + 0.986834i \(0.448290\pi\)
−0.910379 + 0.413776i \(0.864210\pi\)
\(20\) −28.8803 15.7051i −1.44401 0.785253i
\(21\) −27.7161 22.7460i −1.31981 1.08314i
\(22\) 10.1405 + 0.0364871i 0.460933 + 0.00165851i
\(23\) −9.19133 + 6.14145i −0.399623 + 0.267020i −0.739101 0.673594i \(-0.764749\pi\)
0.339478 + 0.940614i \(0.389749\pi\)
\(24\) −10.4154 25.9334i −0.433976 1.08056i
\(25\) 35.3748 + 23.6367i 1.41499 + 0.945468i
\(26\) −29.9195 + 5.83953i −1.15075 + 0.224597i
\(27\) 9.54549 + 17.8584i 0.353537 + 0.661421i
\(28\) −0.295439 + 41.0539i −0.0105514 + 1.46621i
\(29\) −1.72942 + 17.5591i −0.0596351 + 0.605486i 0.918201 + 0.396115i \(0.129642\pi\)
−0.977836 + 0.209371i \(0.932858\pi\)
\(30\) 16.4705 + 55.0077i 0.549016 + 1.83359i
\(31\) −36.5215 36.5215i −1.17811 1.17811i −0.980225 0.197888i \(-0.936592\pi\)
−0.197888 0.980225i \(-0.563408\pi\)
\(32\) −15.5899 + 27.9455i −0.487186 + 0.873298i
\(33\) −12.5245 12.5245i −0.379530 0.379530i
\(34\) 17.4634 + 9.41535i 0.513631 + 0.276922i
\(35\) 8.26806 83.9470i 0.236230 2.39849i
\(36\) −4.98867 + 11.8028i −0.138574 + 0.327854i
\(37\) −29.8268 55.8021i −0.806131 1.50816i −0.860389 0.509638i \(-0.829779\pi\)
0.0542582 0.998527i \(-0.482721\pi\)
\(38\) −50.0575 33.7085i −1.31730 0.887066i
\(39\) 44.2721 + 29.5817i 1.13518 + 0.758505i
\(40\) 37.1159 54.2705i 0.927898 1.35676i
\(41\) −31.5638 + 21.0903i −0.769849 + 0.514396i −0.877375 0.479806i \(-0.840707\pi\)
0.107526 + 0.994202i \(0.465707\pi\)
\(42\) 50.8883 50.5235i 1.21163 1.20294i
\(43\) 29.0695 + 23.8567i 0.676034 + 0.554807i 0.908545 0.417787i \(-0.137194\pi\)
−0.232511 + 0.972594i \(0.574694\pi\)
\(44\) −2.13310 + 20.1687i −0.0484795 + 0.458380i
\(45\) 12.4108 23.2189i 0.275795 0.515976i
\(46\) −10.3517 19.5354i −0.225037 0.424684i
\(47\) 15.5404 37.5178i 0.330646 0.798251i −0.667895 0.744256i \(-0.732804\pi\)
0.998541 0.0539955i \(-0.0171956\pi\)
\(48\) 53.7147 15.4536i 1.11906 0.321949i
\(49\) −52.0552 + 21.5620i −1.06235 + 0.440040i
\(50\) −54.2168 + 65.5807i −1.08434 + 1.31161i
\(51\) −10.0594 33.1616i −0.197244 0.650226i
\(52\) −5.53914 60.7160i −0.106522 1.16762i
\(53\) −2.26481 22.9950i −0.0427323 0.433868i −0.992619 0.121274i \(-0.961302\pi\)
0.949887 0.312594i \(-0.101198\pi\)
\(54\) −37.4715 + 15.3635i −0.693917 + 0.284509i
\(55\) 8.12954 40.8699i 0.147810 0.743090i
\(56\) −81.6228 8.92974i −1.45755 0.159460i
\(57\) 20.5645 + 103.385i 0.360780 + 1.81376i
\(58\) −34.5850 7.00885i −0.596294 0.120842i
\(59\) 20.4249 + 6.19582i 0.346184 + 0.105014i 0.458589 0.888649i \(-0.348355\pi\)
−0.112404 + 0.993663i \(0.535855\pi\)
\(60\) −112.793 + 21.5933i −1.87988 + 0.359888i
\(61\) −25.8020 + 21.1751i −0.422983 + 0.347133i −0.821680 0.569950i \(-0.806963\pi\)
0.398696 + 0.917083i \(0.369463\pi\)
\(62\) 80.0860 65.2440i 1.29171 1.05232i
\(63\) −32.8792 −0.521892
\(64\) −52.4341 36.6969i −0.819283 0.573390i
\(65\) 125.268i 1.92720i
\(66\) 27.4643 22.3744i 0.416125 0.339007i
\(67\) 21.1721 + 25.7983i 0.316002 + 0.385049i 0.906653 0.421878i \(-0.138629\pi\)
−0.590651 + 0.806927i \(0.701129\pi\)
\(68\) −22.2817 + 32.8330i −0.327673 + 0.482838i
\(69\) −11.2098 + 36.9537i −0.162461 + 0.535561i
\(70\) 165.345 + 33.5081i 2.36208 + 0.478688i
\(71\) −81.7160 + 16.2543i −1.15093 + 0.228934i −0.733444 0.679750i \(-0.762088\pi\)
−0.417485 + 0.908684i \(0.637088\pi\)
\(72\) −22.4697 12.3240i −0.312079 0.171166i
\(73\) −4.57479 0.909982i −0.0626683 0.0124655i 0.163657 0.986517i \(-0.447671\pi\)
−0.226325 + 0.974052i \(0.572671\pi\)
\(74\) 117.087 48.0063i 1.58226 0.648734i
\(75\) 147.908 14.5677i 1.97211 0.194236i
\(76\) 77.2396 92.7475i 1.01631 1.22036i
\(77\) −49.7994 + 15.1065i −0.646745 + 0.196188i
\(78\) −67.8531 + 82.0752i −0.869911 + 1.05225i
\(79\) 4.68449 + 11.3094i 0.0592974 + 0.143157i 0.950751 0.309955i \(-0.100314\pi\)
−0.891454 + 0.453111i \(0.850314\pi\)
\(80\) 100.438 + 84.8752i 1.25547 + 1.06094i
\(81\) 91.9897 + 38.1034i 1.13568 + 0.470412i
\(82\) −35.5487 67.0864i −0.433520 0.818126i
\(83\) 13.8569 + 7.40666i 0.166950 + 0.0892368i 0.552756 0.833343i \(-0.313576\pi\)
−0.385805 + 0.922580i \(0.626076\pi\)
\(84\) 90.1838 + 111.516i 1.07362 + 1.32757i
\(85\) 51.7206 63.0218i 0.608478 0.741433i
\(86\) −53.3732 + 52.9905i −0.620619 + 0.616169i
\(87\) 34.2435 + 51.2490i 0.393604 + 0.589069i
\(88\) −39.6953 8.34230i −0.451083 0.0947988i
\(89\) −61.7322 + 92.3888i −0.693621 + 1.03808i 0.302760 + 0.953067i \(0.402092\pi\)
−0.996380 + 0.0850096i \(0.972908\pi\)
\(90\) 43.6758 + 29.4111i 0.485286 + 0.326790i
\(91\) 137.968 73.7454i 1.51613 0.810389i
\(92\) 40.9721 16.6268i 0.445349 0.180726i
\(93\) −179.559 17.6851i −1.93075 0.190162i
\(94\) 71.4896 + 38.5434i 0.760528 + 0.410036i
\(95\) −175.357 + 175.357i −1.84586 + 1.84586i
\(96\) 19.8326 + 110.014i 0.206590 + 1.14597i
\(97\) 26.4505 26.4505i 0.272686 0.272686i −0.557495 0.830181i \(-0.688237\pi\)
0.830181 + 0.557495i \(0.188237\pi\)
\(98\) −32.3235 107.953i −0.329831 1.10156i
\(99\) −16.1642 1.59203i −0.163274 0.0160811i
\(100\) −119.466 121.198i −1.19466 1.21198i
\(101\) 104.130 55.6586i 1.03099 0.551075i 0.133011 0.991115i \(-0.457536\pi\)
0.897978 + 0.440039i \(0.145036\pi\)
\(102\) 68.0239 13.2765i 0.666901 0.130162i
\(103\) 7.38290 11.0493i 0.0716787 0.107275i −0.793898 0.608050i \(-0.791952\pi\)
0.865577 + 0.500776i \(0.166952\pi\)
\(104\) 121.929 + 1.31620i 1.17240 + 0.0126558i
\(105\) −163.712 245.013i −1.55917 2.33346i
\(106\) 46.2122 + 0.166278i 0.435964 + 0.00156866i
\(107\) −41.8843 + 51.0362i −0.391442 + 0.476973i −0.931023 0.364960i \(-0.881083\pi\)
0.539581 + 0.841934i \(0.318583\pi\)
\(108\) −22.9540 77.6770i −0.212537 0.719231i
\(109\) 140.653 + 75.1805i 1.29039 + 0.689729i 0.966574 0.256389i \(-0.0825329\pi\)
0.323820 + 0.946119i \(0.395033\pi\)
\(110\) 79.6651 + 24.4795i 0.724228 + 0.222541i
\(111\) −204.210 84.5866i −1.83973 0.762041i
\(112\) 34.3524 160.586i 0.306718 1.43381i
\(113\) −39.2983 94.8745i −0.347773 0.839597i −0.996882 0.0789026i \(-0.974858\pi\)
0.649110 0.760695i \(-0.275142\pi\)
\(114\) −209.878 + 19.9089i −1.84103 + 0.174640i
\(115\) −86.9387 + 26.3726i −0.755989 + 0.229327i
\(116\) 20.9727 67.3880i 0.180799 0.580931i
\(117\) 48.5918 4.78587i 0.415314 0.0409049i
\(118\) −16.4777 + 39.3794i −0.139642 + 0.333724i
\(119\) −99.8592 19.8632i −0.839153 0.166918i
\(120\) −20.0442 228.806i −0.167035 1.90672i
\(121\) 93.4610 18.5906i 0.772405 0.153641i
\(122\) −36.8883 55.6396i −0.302363 0.456063i
\(123\) −38.4953 + 126.902i −0.312970 + 1.03172i
\(124\) 113.540 + 172.600i 0.915644 + 1.39194i
\(125\) 91.4759 + 111.464i 0.731808 + 0.891710i
\(126\) 6.68088 65.4181i 0.0530228 0.519192i
\(127\) 114.381i 0.900639i 0.892868 + 0.450319i \(0.148690\pi\)
−0.892868 + 0.450319i \(0.851310\pi\)
\(128\) 83.6684 96.8689i 0.653660 0.756789i
\(129\) 131.369 1.01836
\(130\) −249.239 25.4537i −1.91722 0.195798i
\(131\) 66.9009 54.9042i 0.510694 0.419116i −0.343435 0.939176i \(-0.611591\pi\)
0.854129 + 0.520060i \(0.174091\pi\)
\(132\) 38.9368 + 59.1907i 0.294975 + 0.448414i
\(133\) 296.368 + 89.9022i 2.22833 + 0.675956i
\(134\) −55.6317 + 36.8831i −0.415162 + 0.275247i
\(135\) 32.4671 + 163.223i 0.240497 + 1.20906i
\(136\) −60.7987 51.0044i −0.447049 0.375032i
\(137\) 13.2722 66.7241i 0.0968777 0.487037i −0.901634 0.432500i \(-0.857632\pi\)
0.998512 0.0545374i \(-0.0173684\pi\)
\(138\) −71.2472 29.8123i −0.516284 0.216031i
\(139\) −6.16882 62.6330i −0.0443800 0.450597i −0.991537 0.129826i \(-0.958558\pi\)
0.947157 0.320771i \(-0.103942\pi\)
\(140\) −100.267 + 322.171i −0.716191 + 2.30122i
\(141\) −41.1801 135.753i −0.292057 0.962784i
\(142\) −15.7362 165.889i −0.110818 1.16823i
\(143\) 71.3990 29.5744i 0.499293 0.206814i
\(144\) 29.0861 42.2027i 0.201987 0.293074i
\(145\) −55.4925 + 133.971i −0.382707 + 0.923936i
\(146\) 2.74012 8.91733i 0.0187679 0.0610776i
\(147\) −92.7847 + 173.588i −0.631189 + 1.18087i
\(148\) 71.7243 + 242.718i 0.484624 + 1.63998i
\(149\) −201.853 165.656i −1.35472 1.11179i −0.983033 0.183429i \(-0.941280\pi\)
−0.371684 0.928359i \(-0.621220\pi\)
\(150\) −1.06953 + 297.246i −0.00713023 + 1.98164i
\(151\) 144.991 96.8799i 0.960205 0.641589i 0.0265066 0.999649i \(-0.491562\pi\)
0.933699 + 0.358060i \(0.116562\pi\)
\(152\) 168.841 + 172.526i 1.11079 + 1.13504i
\(153\) −26.4223 17.6548i −0.172695 0.115391i
\(154\) −19.9376 102.153i −0.129465 0.663331i
\(155\) −200.100 374.360i −1.29097 2.41523i
\(156\) −149.514 151.681i −0.958421 0.972316i
\(157\) 20.1397 204.482i 0.128279 1.30243i −0.688396 0.725335i \(-0.741685\pi\)
0.816674 0.577099i \(-0.195815\pi\)
\(158\) −23.4536 + 7.02251i −0.148440 + 0.0444463i
\(159\) −57.0763 57.0763i −0.358970 0.358970i
\(160\) −189.280 + 182.590i −1.18300 + 1.14118i
\(161\) 80.2273 + 80.2273i 0.498306 + 0.498306i
\(162\) −94.5042 + 175.285i −0.583359 + 1.08201i
\(163\) −19.0953 + 193.878i −0.117149 + 1.18944i 0.739362 + 0.673308i \(0.235127\pi\)
−0.856512 + 0.516128i \(0.827373\pi\)
\(164\) 140.702 57.0978i 0.857938 0.348158i
\(165\) −68.6211 128.381i −0.415886 0.778067i
\(166\) −17.5523 + 26.0654i −0.105737 + 0.157020i
\(167\) 94.4880 + 63.1348i 0.565796 + 0.378053i 0.805323 0.592837i \(-0.201992\pi\)
−0.239526 + 0.970890i \(0.576992\pi\)
\(168\) −240.203 + 156.775i −1.42978 + 0.933184i
\(169\) −52.6483 + 35.1785i −0.311528 + 0.208157i
\(170\) 114.882 + 115.712i 0.675777 + 0.680657i
\(171\) 74.7209 + 61.3219i 0.436964 + 0.358607i
\(172\) −94.5875 116.962i −0.549927 0.680009i
\(173\) −115.014 + 215.176i −0.664821 + 1.24379i 0.292914 + 0.956139i \(0.405375\pi\)
−0.957735 + 0.287653i \(0.907125\pi\)
\(174\) −108.926 + 57.7191i −0.626010 + 0.331719i
\(175\) 167.106 403.430i 0.954893 2.30532i
\(176\) 24.6641 77.2846i 0.140137 0.439117i
\(177\) 68.8860 28.5335i 0.389187 0.161206i
\(178\) −171.278 141.599i −0.962235 0.795497i
\(179\) −52.2162 172.134i −0.291711 0.961641i −0.973228 0.229840i \(-0.926180\pi\)
0.681518 0.731802i \(-0.261320\pi\)
\(180\) −67.3925 + 80.9234i −0.374403 + 0.449574i
\(181\) 1.70055 + 17.2660i 0.00939532 + 0.0953923i 0.998739 0.0502084i \(-0.0159885\pi\)
−0.989343 + 0.145601i \(0.953489\pi\)
\(182\) 118.693 + 289.493i 0.652161 + 1.59062i
\(183\) −22.7481 + 114.362i −0.124306 + 0.624930i
\(184\) 24.7562 + 84.8987i 0.134545 + 0.461406i
\(185\) −101.450 510.025i −0.548379 2.75689i
\(186\) 71.6726 353.667i 0.385337 1.90144i
\(187\) −48.1313 14.6005i −0.257387 0.0780774i
\(188\) −91.2142 + 134.408i −0.485182 + 0.714934i
\(189\) 160.658 131.849i 0.850042 0.697612i
\(190\) −313.267 384.530i −1.64877 2.02384i
\(191\) 11.5989 0.0607274 0.0303637 0.999539i \(-0.490333\pi\)
0.0303637 + 0.999539i \(0.490333\pi\)
\(192\) −222.919 + 17.1059i −1.16103 + 0.0890932i
\(193\) 133.314i 0.690747i 0.938465 + 0.345374i \(0.112248\pi\)
−0.938465 + 0.345374i \(0.887752\pi\)
\(194\) 47.2527 + 58.0019i 0.243571 + 0.298979i
\(195\) 277.612 + 338.272i 1.42365 + 1.73473i
\(196\) 221.357 42.3770i 1.12937 0.216209i
\(197\) 91.8928 302.930i 0.466461 1.53772i −0.336500 0.941684i \(-0.609243\pi\)
0.802961 0.596032i \(-0.203257\pi\)
\(198\) 6.45206 31.8376i 0.0325862 0.160796i
\(199\) −161.504 + 32.1252i −0.811580 + 0.161433i −0.583399 0.812186i \(-0.698278\pi\)
−0.228180 + 0.973619i \(0.573278\pi\)
\(200\) 265.417 213.069i 1.32708 1.06535i
\(201\) 114.346 + 22.7448i 0.568885 + 0.113158i
\(202\) 89.5825 + 218.492i 0.443478 + 1.08164i
\(203\) 180.222 17.7503i 0.887792 0.0874398i
\(204\) 12.5936 + 138.042i 0.0617333 + 0.676675i
\(205\) −298.555 + 90.5656i −1.45637 + 0.441784i
\(206\) 20.4841 + 16.9346i 0.0994373 + 0.0822066i
\(207\) 13.5515 + 32.7162i 0.0654662 + 0.158049i
\(208\) −27.3941 + 242.329i −0.131703 + 1.16504i
\(209\) 141.348 + 58.5483i 0.676307 + 0.280135i
\(210\) 520.756 275.945i 2.47979 1.31403i
\(211\) −113.007 60.4036i −0.535579 0.286273i 0.181350 0.983419i \(-0.441953\pi\)
−0.716930 + 0.697145i \(0.754453\pi\)
\(212\) −9.72091 + 91.9124i −0.0458534 + 0.433549i
\(213\) −184.643 + 224.988i −0.866869 + 1.05628i
\(214\) −93.0335 93.7054i −0.434736 0.437876i
\(215\) 171.707 + 256.977i 0.798635 + 1.19524i
\(216\) 159.214 29.8868i 0.737103 0.138365i
\(217\) −294.515 + 440.773i −1.35721 + 2.03121i
\(218\) −178.163 + 264.574i −0.817261 + 1.21364i
\(219\) −14.3704 + 7.68112i −0.0656181 + 0.0350736i
\(220\) −64.8932 + 153.532i −0.294969 + 0.697871i
\(221\) 150.472 + 14.8202i 0.680868 + 0.0670597i
\(222\) 209.792 389.119i 0.945010 1.75279i
\(223\) 229.516 229.516i 1.02922 1.02922i 0.0296596 0.999560i \(-0.490558\pi\)
0.999560 0.0296596i \(-0.00944233\pi\)
\(224\) 312.531 + 100.980i 1.39523 + 0.450802i
\(225\) 96.3716 96.3716i 0.428318 0.428318i
\(226\) 196.752 58.9119i 0.870586 0.260672i
\(227\) −240.402 23.6776i −1.05904 0.104306i −0.446530 0.894768i \(-0.647341\pi\)
−0.612511 + 0.790462i \(0.709841\pi\)
\(228\) 3.03420 421.629i 0.0133079 1.84925i
\(229\) 229.301 122.564i 1.00131 0.535213i 0.112582 0.993642i \(-0.464088\pi\)
0.888731 + 0.458429i \(0.151588\pi\)
\(230\) −34.8067 178.336i −0.151334 0.775376i
\(231\) −100.999 + 151.156i −0.437227 + 0.654357i
\(232\) 129.817 + 55.4212i 0.559557 + 0.238884i
\(233\) 169.625 + 253.861i 0.728003 + 1.08953i 0.992150 + 0.125051i \(0.0399095\pi\)
−0.264147 + 0.964482i \(0.585091\pi\)
\(234\) −0.351370 + 97.6531i −0.00150158 + 0.417321i
\(235\) 211.727 257.991i 0.900968 1.09783i
\(236\) −75.0031 40.7867i −0.317810 0.172825i
\(237\) 37.7133 + 20.1582i 0.159128 + 0.0850555i
\(238\) 59.8117 194.649i 0.251310 0.817852i
\(239\) 122.033 + 50.5479i 0.510600 + 0.211497i 0.623082 0.782156i \(-0.285880\pi\)
−0.112482 + 0.993654i \(0.535880\pi\)
\(240\) 459.317 + 6.61118i 1.91382 + 0.0275466i
\(241\) −33.7802 81.5525i −0.140167 0.338392i 0.838171 0.545407i \(-0.183625\pi\)
−0.978338 + 0.207015i \(0.933625\pi\)
\(242\) 17.9979 + 189.732i 0.0743717 + 0.784018i
\(243\) 158.454 48.0665i 0.652074 0.197804i
\(244\) 118.199 62.0892i 0.484422 0.254464i
\(245\) −460.839 + 45.3887i −1.88097 + 0.185260i
\(246\) −244.669 102.378i −0.994589 0.416171i
\(247\) −451.084 89.7262i −1.82625 0.363264i
\(248\) −366.485 + 190.833i −1.47776 + 0.769489i
\(249\) 53.8333 10.7081i 0.216198 0.0430044i
\(250\) −240.361 + 159.356i −0.961446 + 0.637426i
\(251\) −48.7566 + 160.729i −0.194249 + 0.640354i 0.804663 + 0.593732i \(0.202346\pi\)
−0.998913 + 0.0466228i \(0.985154\pi\)
\(252\) 128.802 + 26.5852i 0.511118 + 0.105497i
\(253\) 35.5569 + 43.3262i 0.140541 + 0.171250i
\(254\) −227.579 23.2416i −0.895979 0.0915025i
\(255\) 284.804i 1.11688i
\(256\) 175.734 + 186.154i 0.686463 + 0.727165i
\(257\) 249.222 0.969735 0.484868 0.874588i \(-0.338868\pi\)
0.484868 + 0.874588i \(0.338868\pi\)
\(258\) −26.6934 + 261.378i −0.103463 + 1.01309i
\(259\) −502.009 + 411.988i −1.93826 + 1.59069i
\(260\) 101.288 490.727i 0.389570 1.88741i
\(261\) 54.0878 + 16.4073i 0.207233 + 0.0628634i
\(262\) 95.6463 + 144.266i 0.365062 + 0.550633i
\(263\) 6.16798 + 31.0085i 0.0234524 + 0.117903i 0.990738 0.135786i \(-0.0433560\pi\)
−0.967286 + 0.253689i \(0.918356\pi\)
\(264\) −125.681 + 65.4433i −0.476063 + 0.247891i
\(265\) 37.0478 186.252i 0.139803 0.702836i
\(266\) −239.094 + 571.401i −0.898851 + 2.14812i
\(267\) 38.0466 + 386.294i 0.142497 + 1.44679i
\(268\) −62.0804 118.182i −0.231643 0.440978i
\(269\) −91.1153 300.367i −0.338719 1.11661i −0.946555 0.322543i \(-0.895462\pi\)
0.607836 0.794063i \(-0.292038\pi\)
\(270\) −331.355 + 31.4322i −1.22724 + 0.116415i
\(271\) −246.991 + 102.307i −0.911405 + 0.377516i −0.788594 0.614914i \(-0.789191\pi\)
−0.122811 + 0.992430i \(0.539191\pi\)
\(272\) 113.835 110.604i 0.418511 0.406634i
\(273\) 209.136 504.899i 0.766066 1.84945i
\(274\) 130.061 + 39.9651i 0.474675 + 0.145858i
\(275\) 101.688 190.244i 0.369773 0.691797i
\(276\) 73.7932 135.699i 0.267367 0.491664i
\(277\) 398.574 + 327.101i 1.43889 + 1.18087i 0.951485 + 0.307696i \(0.0995579\pi\)
0.487409 + 0.873174i \(0.337942\pi\)
\(278\) 125.871 + 0.452903i 0.452775 + 0.00162915i
\(279\) −137.571 + 91.9218i −0.493085 + 0.329469i
\(280\) −620.634 264.959i −2.21655 0.946283i
\(281\) −289.069 193.150i −1.02872 0.687365i −0.0778481 0.996965i \(-0.524805\pi\)
−0.950867 + 0.309600i \(0.899805\pi\)
\(282\) 278.468 54.3498i 0.987475 0.192730i
\(283\) 77.2078 + 144.446i 0.272819 + 0.510408i 0.980599 0.196025i \(-0.0628032\pi\)
−0.707780 + 0.706433i \(0.750303\pi\)
\(284\) 333.259 + 2.39826i 1.17345 + 0.00844458i
\(285\) −84.9142 + 862.148i −0.297945 + 3.02508i
\(286\) 44.3349 + 148.068i 0.155017 + 0.517722i
\(287\) 275.507 + 275.507i 0.959956 + 0.959956i
\(288\) 78.0585 + 66.4466i 0.271037 + 0.230717i
\(289\) 134.771 + 134.771i 0.466335 + 0.466335i
\(290\) −255.279 137.633i −0.880273 0.474596i
\(291\) 12.8083 130.045i 0.0440149 0.446890i
\(292\) 17.1856 + 7.26383i 0.0588548 + 0.0248761i
\(293\) −186.786 349.452i −0.637495 1.19267i −0.968494 0.249038i \(-0.919886\pi\)
0.330999 0.943631i \(-0.392614\pi\)
\(294\) −326.526 219.881i −1.11063 0.747896i
\(295\) 145.854 + 97.4563i 0.494419 + 0.330360i
\(296\) −497.497 + 93.3875i −1.68073 + 0.315498i
\(297\) 85.3674 57.0406i 0.287432 0.192056i
\(298\) 370.614 367.956i 1.24367 1.23475i
\(299\) −130.245 106.889i −0.435601 0.357489i
\(300\) −591.199 62.5268i −1.97066 0.208423i
\(301\) 181.946 340.398i 0.604473 1.13089i
\(302\) 163.296 + 308.167i 0.540714 + 1.02042i
\(303\) 157.843 381.068i 0.520935 1.25765i
\(304\) −377.573 + 300.878i −1.24202 + 0.989729i
\(305\) −253.443 + 104.979i −0.830959 + 0.344195i
\(306\) 40.4959 48.9839i 0.132339 0.160078i
\(307\) −93.8478 309.375i −0.305693 1.00774i −0.966390 0.257082i \(-0.917239\pi\)
0.660697 0.750653i \(-0.270261\pi\)
\(308\) 207.300 18.9120i 0.673052 0.0614027i
\(309\) −4.55021 46.1990i −0.0147256 0.149511i
\(310\) 785.505 322.061i 2.53389 1.03891i
\(311\) 66.4494 334.064i 0.213664 1.07416i −0.713829 0.700320i \(-0.753041\pi\)
0.927493 0.373841i \(-0.121959\pi\)
\(312\) 332.173 266.659i 1.06466 0.854677i
\(313\) 40.4378 + 203.294i 0.129194 + 0.649503i 0.990057 + 0.140666i \(0.0449244\pi\)
−0.860863 + 0.508837i \(0.830076\pi\)
\(314\) 402.756 + 81.6207i 1.28266 + 0.259939i
\(315\) −258.585 78.4408i −0.820903 0.249018i
\(316\) −9.20670 48.0914i −0.0291351 0.152188i
\(317\) −278.456 + 228.523i −0.878411 + 0.720893i −0.961252 0.275670i \(-0.911100\pi\)
0.0828417 + 0.996563i \(0.473600\pi\)
\(318\) 125.160 101.964i 0.393583 0.320643i
\(319\) 89.4606 0.280441
\(320\) −324.829 413.703i −1.01509 1.29282i
\(321\) 230.639i 0.718503i
\(322\) −175.926 + 143.323i −0.546354 + 0.445101i
\(323\) 189.893 + 231.385i 0.587903 + 0.716362i
\(324\) −329.553 223.647i −1.01714 0.690270i
\(325\) −188.241 + 620.548i −0.579204 + 1.90938i
\(326\) −381.869 77.3880i −1.17138 0.237386i
\(327\) 546.429 108.691i 1.67104 0.332390i
\(328\) 85.0149 + 291.549i 0.259192 + 0.888870i
\(329\) −408.791 81.3136i −1.24253 0.247154i
\(330\) 269.377 110.446i 0.816294 0.334684i
\(331\) 14.7022 1.44804i 0.0444175 0.00437474i −0.0757840 0.997124i \(-0.524146\pi\)
0.120201 + 0.992750i \(0.461646\pi\)
\(332\) −48.2945 40.2193i −0.145465 0.121142i
\(333\) −193.964 + 58.8384i −0.582475 + 0.176692i
\(334\) −144.816 + 175.169i −0.433580 + 0.524459i
\(335\) 104.964 + 253.406i 0.313326 + 0.756437i
\(336\) −263.119 509.776i −0.783093 1.51719i
\(337\) −156.655 64.8887i −0.464852 0.192548i 0.137949 0.990439i \(-0.455949\pi\)
−0.602802 + 0.797891i \(0.705949\pi\)
\(338\) −59.2950 111.900i −0.175429 0.331064i
\(339\) −316.377 169.107i −0.933266 0.498841i
\(340\) −253.569 + 205.063i −0.745792 + 0.603127i
\(341\) −166.133 + 202.434i −0.487193 + 0.593647i
\(342\) −137.192 + 136.208i −0.401146 + 0.398270i
\(343\) 41.8781 + 62.6749i 0.122093 + 0.182726i
\(344\) 251.932 164.430i 0.732361 0.477995i
\(345\) −176.323 + 263.886i −0.511080 + 0.764886i
\(346\) −404.755 272.560i −1.16981 0.787747i
\(347\) −279.326 + 149.303i −0.804973 + 0.430267i −0.821930 0.569589i \(-0.807102\pi\)
0.0169562 + 0.999856i \(0.494602\pi\)
\(348\) −92.7078 228.453i −0.266402 0.656473i
\(349\) 658.316 + 64.8384i 1.88629 + 0.185783i 0.974426 0.224707i \(-0.0721426\pi\)
0.911865 + 0.410491i \(0.134643\pi\)
\(350\) 768.730 + 414.458i 2.19637 + 1.18417i
\(351\) −218.243 + 218.243i −0.621774 + 0.621774i
\(352\) 148.758 + 64.7768i 0.422608 + 0.184025i
\(353\) 144.390 144.390i 0.409038 0.409038i −0.472365 0.881403i \(-0.656600\pi\)
0.881403 + 0.472365i \(0.156600\pi\)
\(354\) 42.7745 + 142.857i 0.120832 + 0.403551i
\(355\) −681.449 67.1169i −1.91957 0.189062i
\(356\) 316.534 312.011i 0.889142 0.876436i
\(357\) −313.679 + 167.665i −0.878652 + 0.469649i
\(358\) 353.096 68.9154i 0.986303 0.192501i
\(359\) 127.539 190.875i 0.355260 0.531685i −0.610196 0.792251i \(-0.708909\pi\)
0.965456 + 0.260566i \(0.0839092\pi\)
\(360\) −147.316 150.531i −0.409210 0.418141i
\(361\) −305.288 456.895i −0.845672 1.26564i
\(362\) −34.6989 0.124852i −0.0958532 0.000344894i
\(363\) 211.182 257.326i 0.581768 0.708886i
\(364\) −600.107 + 177.335i −1.64865 + 0.487183i
\(365\) −33.8083 18.0709i −0.0926255 0.0495093i
\(366\) −222.919 68.4985i −0.609068 0.187154i
\(367\) −363.552 150.588i −0.990604 0.410322i −0.172261 0.985051i \(-0.555107\pi\)
−0.818343 + 0.574730i \(0.805107\pi\)
\(368\) −173.949 + 32.0053i −0.472688 + 0.0869709i
\(369\) 46.5370 + 112.350i 0.126117 + 0.304472i
\(370\) 1035.38 98.2162i 2.79834 0.265449i
\(371\) −226.945 + 68.8429i −0.611711 + 0.185560i
\(372\) 689.111 + 214.467i 1.85245 + 0.576523i
\(373\) −126.497 + 12.4588i −0.339133 + 0.0334017i −0.266151 0.963931i \(-0.585752\pi\)
−0.0729828 + 0.997333i \(0.523252\pi\)
\(374\) 38.8299 92.7977i 0.103823 0.248122i
\(375\) 494.041 + 98.2709i 1.31744 + 0.262056i
\(376\) −248.890 208.795i −0.661942 0.555307i
\(377\) −263.764 + 52.4659i −0.699638 + 0.139167i
\(378\) 229.688 + 346.444i 0.607640 + 0.916519i
\(379\) 91.2661 300.864i 0.240808 0.793837i −0.750338 0.661055i \(-0.770109\pi\)
0.991145 0.132782i \(-0.0423910\pi\)
\(380\) 828.735 545.158i 2.18088 1.43463i
\(381\) 253.486 + 308.874i 0.665318 + 0.810692i
\(382\) −2.35684 + 23.0778i −0.00616974 + 0.0604132i
\(383\) 203.413i 0.531104i −0.964097 0.265552i \(-0.914446\pi\)
0.964097 0.265552i \(-0.0855542\pi\)
\(384\) 11.2611 447.006i 0.0293257 1.16408i
\(385\) −427.696 −1.11090
\(386\) −265.249 27.0887i −0.687173 0.0701781i
\(387\) 93.1221 76.4234i 0.240626 0.197476i
\(388\) −125.005 + 82.2307i −0.322178 + 0.211935i
\(389\) 212.243 + 64.3833i 0.545612 + 0.165510i 0.551045 0.834476i \(-0.314229\pi\)
−0.00543255 + 0.999985i \(0.501729\pi\)
\(390\) −729.452 + 483.617i −1.87039 + 1.24004i
\(391\) 21.3932 + 107.551i 0.0547142 + 0.275067i
\(392\) 39.3369 + 449.034i 0.100349 + 1.14549i
\(393\) 58.9826 296.525i 0.150083 0.754517i
\(394\) 584.053 + 244.388i 1.48237 + 0.620275i
\(395\) 9.86101 + 100.121i 0.0249646 + 0.253470i
\(396\) 62.0346 + 19.3066i 0.156653 + 0.0487540i
\(397\) 40.1693 + 132.420i 0.101182 + 0.333553i 0.992886 0.119066i \(-0.0379900\pi\)
−0.891704 + 0.452618i \(0.850490\pi\)
\(398\) −31.1012 327.865i −0.0781436 0.823781i
\(399\) 999.545 414.025i 2.50513 1.03766i
\(400\) 370.002 + 571.381i 0.925006 + 1.42845i
\(401\) 37.2976 90.0444i 0.0930115 0.224550i −0.870526 0.492122i \(-0.836221\pi\)
0.963538 + 0.267572i \(0.0862214\pi\)
\(402\) −68.4888 + 222.887i −0.170370 + 0.554445i
\(403\) 371.102 694.282i 0.920848 1.72278i
\(404\) −452.925 + 133.842i −1.12110 + 0.331291i
\(405\) 632.566 + 519.133i 1.56189 + 1.28181i
\(406\) −1.30319 + 362.185i −0.00320984 + 0.892082i
\(407\) −266.748 + 178.235i −0.655400 + 0.437924i
\(408\) −277.214 2.99247i −0.679445 0.00733448i
\(409\) 244.490 + 163.363i 0.597776 + 0.399421i 0.817322 0.576181i \(-0.195458\pi\)
−0.219546 + 0.975602i \(0.570458\pi\)
\(410\) −119.529 612.422i −0.291535 1.49371i
\(411\) −112.031 209.594i −0.272580 0.509962i
\(412\) −37.8561 + 37.3152i −0.0918838 + 0.0905708i
\(413\) 21.4725 218.014i 0.0519914 0.527878i
\(414\) −67.8475 + 20.3150i −0.163883 + 0.0490701i
\(415\) 91.3097 + 91.3097i 0.220023 + 0.220023i
\(416\) −476.584 103.745i −1.14563 0.249386i
\(417\) −155.463 155.463i −0.372812 0.372812i
\(418\) −145.212 + 269.337i −0.347397 + 0.644346i
\(419\) 35.3893 359.314i 0.0844614 0.857551i −0.855847 0.517229i \(-0.826964\pi\)
0.940309 0.340323i \(-0.110536\pi\)
\(420\) 443.220 + 1092.19i 1.05529 + 2.60046i
\(421\) 132.929 + 248.694i 0.315747 + 0.590721i 0.988865 0.148814i \(-0.0475455\pi\)
−0.673118 + 0.739535i \(0.735046\pi\)
\(422\) 143.145 212.571i 0.339205 0.503723i
\(423\) −108.164 72.2732i −0.255708 0.170859i
\(424\) −180.898 38.0173i −0.426647 0.0896635i
\(425\) 350.916 234.475i 0.825685 0.551705i
\(426\) −410.129 413.092i −0.962745 0.969698i
\(427\) 264.825 + 217.336i 0.620198 + 0.508984i
\(428\) 205.345 166.064i 0.479778 0.387999i
\(429\) 127.264 238.093i 0.296652 0.554996i
\(430\) −546.184 + 289.420i −1.27020 + 0.673069i
\(431\) −170.800 + 412.348i −0.396288 + 0.956723i 0.592251 + 0.805754i \(0.298240\pi\)
−0.988538 + 0.150970i \(0.951760\pi\)
\(432\) 27.1129 + 322.854i 0.0627613 + 0.747346i
\(433\) −336.301 + 139.300i −0.776676 + 0.321710i −0.735573 0.677445i \(-0.763087\pi\)
−0.0411028 + 0.999155i \(0.513087\pi\)
\(434\) −817.141 675.545i −1.88281 1.55656i
\(435\) 147.048 + 484.753i 0.338042 + 1.11437i
\(436\) −490.208 408.242i −1.12433 0.936335i
\(437\) −32.6945 331.953i −0.0748158 0.759617i
\(438\) −12.3628 30.1528i −0.0282255 0.0688420i
\(439\) 63.8513 321.002i 0.145447 0.731213i −0.837371 0.546635i \(-0.815908\pi\)
0.982818 0.184577i \(-0.0590916\pi\)
\(440\) −292.288 160.312i −0.664292 0.364344i
\(441\) 35.2128 + 177.027i 0.0798476 + 0.401421i
\(442\) −60.0621 + 296.375i −0.135887 + 0.670532i
\(443\) 386.458 + 117.231i 0.872367 + 0.264630i 0.694559 0.719436i \(-0.255600\pi\)
0.177808 + 0.984065i \(0.443100\pi\)
\(444\) 731.583 + 496.480i 1.64771 + 1.11820i
\(445\) −705.919 + 579.333i −1.58633 + 1.30187i
\(446\) 410.020 + 503.293i 0.919328 + 1.12846i
\(447\) −912.201 −2.04072
\(448\) −264.419 + 601.309i −0.590220 + 1.34221i
\(449\) 537.587i 1.19730i −0.801011 0.598649i \(-0.795704\pi\)
0.801011 0.598649i \(-0.204296\pi\)
\(450\) 172.164 + 211.328i 0.382586 + 0.469618i
\(451\) 122.105 + 148.786i 0.270744 + 0.329902i
\(452\) 77.2352 + 403.439i 0.170874 + 0.892565i
\(453\) 176.832 582.935i 0.390357 1.28683i
\(454\) 95.9586 473.506i 0.211363 1.04296i
\(455\) 1261.01 250.830i 2.77145 0.551276i
\(456\) 838.278 + 91.7098i 1.83833 + 0.201118i
\(457\) 634.199 + 126.150i 1.38774 + 0.276039i 0.831752 0.555148i \(-0.187338\pi\)
0.555992 + 0.831187i \(0.312338\pi\)
\(458\) 197.266 + 481.133i 0.430713 + 1.05051i
\(459\) 199.905 19.6890i 0.435524 0.0428953i
\(460\) 361.900 33.0163i 0.786739 0.0717745i
\(461\) −394.595 + 119.699i −0.855955 + 0.259651i −0.687613 0.726078i \(-0.741341\pi\)
−0.168342 + 0.985729i \(0.553841\pi\)
\(462\) −280.226 231.668i −0.606550 0.501446i
\(463\) 307.160 + 741.549i 0.663412 + 1.60162i 0.792421 + 0.609975i \(0.208820\pi\)
−0.129009 + 0.991643i \(0.541180\pi\)
\(464\) −136.647 + 247.030i −0.294498 + 0.532391i
\(465\) −1369.99 567.467i −2.94621 1.22036i
\(466\) −539.562 + 285.911i −1.15786 + 0.613542i
\(467\) 458.004 + 244.808i 0.980738 + 0.524215i 0.882178 0.470916i \(-0.156077\pi\)
0.0985595 + 0.995131i \(0.468577\pi\)
\(468\) −194.224 20.5417i −0.415009 0.0438925i
\(469\) 217.305 264.787i 0.463337 0.564578i
\(470\) 470.289 + 473.686i 1.00062 + 1.00784i
\(471\) −398.779 596.814i −0.846664 1.26712i
\(472\) 96.3915 140.942i 0.204219 0.298607i
\(473\) 105.931 158.537i 0.223956 0.335174i
\(474\) −47.7708 + 70.9402i −0.100782 + 0.149663i
\(475\) −1132.19 + 605.167i −2.38355 + 1.27404i
\(476\) 375.130 + 158.556i 0.788088 + 0.333101i
\(477\) −73.6630 7.25517i −0.154430 0.0152100i
\(478\) −125.369 + 232.533i −0.262279 + 0.486470i
\(479\) −207.280 + 207.280i −0.432736 + 0.432736i −0.889558 0.456822i \(-0.848988\pi\)
0.456822 + 0.889558i \(0.348988\pi\)
\(480\) −106.485 + 912.537i −0.221843 + 1.90112i
\(481\) 681.944 681.944i 1.41776 1.41776i
\(482\) 169.125 50.6397i 0.350882 0.105062i
\(483\) 394.441 + 38.8490i 0.816648 + 0.0804328i
\(484\) −381.158 2.74296i −0.787517 0.00566728i
\(485\) 271.129 144.921i 0.559028 0.298807i
\(486\) 63.4385 + 325.035i 0.130532 + 0.668796i
\(487\) 175.830 263.148i 0.361047 0.540345i −0.605828 0.795596i \(-0.707158\pi\)
0.966875 + 0.255251i \(0.0821580\pi\)
\(488\) 99.5185 + 247.791i 0.203931 + 0.507768i
\(489\) 378.098 + 565.864i 0.773207 + 1.15719i
\(490\) 3.33235 926.131i 0.00680072 1.89006i
\(491\) 569.448 693.874i 1.15977 1.41319i 0.266402 0.963862i \(-0.414165\pi\)
0.893369 0.449323i \(-0.148335\pi\)
\(492\) 253.412 466.003i 0.515065 0.947161i
\(493\) 154.361 + 82.5075i 0.313105 + 0.167358i
\(494\) 270.182 879.268i 0.546927 1.77990i
\(495\) −123.328 51.0841i −0.249147 0.103200i
\(496\) −305.224 767.954i −0.615370 1.54829i
\(497\) 327.249 + 790.049i 0.658448 + 1.58963i
\(498\) 10.3668 + 109.285i 0.0208168 + 0.219448i
\(499\) 460.152 139.585i 0.922148 0.279730i 0.206706 0.978403i \(-0.433726\pi\)
0.715442 + 0.698673i \(0.246226\pi\)
\(500\) −268.223 510.616i −0.536447 1.02123i
\(501\) 395.071 38.9111i 0.788564 0.0776668i
\(502\) −309.887 129.668i −0.617306 0.258302i
\(503\) −657.582 130.801i −1.30732 0.260042i −0.508213 0.861231i \(-0.669694\pi\)
−0.799107 + 0.601189i \(0.794694\pi\)
\(504\) −79.0672 + 250.869i −0.156879 + 0.497755i
\(505\) 951.735 189.312i 1.88462 0.374875i
\(506\) −93.4291 + 61.9422i −0.184642 + 0.122415i
\(507\) −64.2100 + 211.672i −0.126647 + 0.417499i
\(508\) 92.4855 448.079i 0.182058 0.882046i
\(509\) −148.292 180.695i −0.291340 0.354999i 0.606685 0.794942i \(-0.292499\pi\)
−0.898026 + 0.439943i \(0.854999\pi\)
\(510\) 566.661 + 57.8707i 1.11110 + 0.113472i
\(511\) 47.8743i 0.0936874i
\(512\) −406.090 + 311.825i −0.793145 + 0.609033i
\(513\) −611.016 −1.19106
\(514\) −50.6406 + 495.865i −0.0985225 + 0.964717i
\(515\) 84.4248 69.2856i 0.163932 0.134535i
\(516\) −514.628 106.221i −0.997340 0.205855i
\(517\) −197.034 59.7695i −0.381110 0.115608i
\(518\) −717.707 1082.54i −1.38553 2.08984i
\(519\) 166.280 + 835.948i 0.320386 + 1.61069i
\(520\) 955.794 + 301.241i 1.83807 + 0.579310i
\(521\) 57.3914 288.526i 0.110156 0.553793i −0.885809 0.464051i \(-0.846396\pi\)
0.995965 0.0897425i \(-0.0286044\pi\)
\(522\) −43.6352 + 104.282i −0.0835924 + 0.199774i
\(523\) −0.959081 9.73771i −0.00183381 0.0186189i 0.994224 0.107322i \(-0.0342277\pi\)
−0.996058 + 0.0887034i \(0.971728\pi\)
\(524\) −306.473 + 160.989i −0.584873 + 0.307230i
\(525\) −442.811 1459.75i −0.843449 2.78048i
\(526\) −62.9494 + 5.97136i −0.119676 + 0.0113524i
\(527\) −473.356 + 196.070i −0.898208 + 0.372050i
\(528\) −104.672 263.358i −0.198242 0.498784i
\(529\) −155.676 + 375.836i −0.294284 + 0.710465i
\(530\) 363.048 + 111.557i 0.684996 + 0.210486i
\(531\) 32.2313 60.3004i 0.0606992 0.113560i
\(532\) −1088.31 591.820i −2.04569 1.11244i
\(533\) −447.271 367.066i −0.839158 0.688679i
\(534\) −776.321 2.79331i −1.45378 0.00523093i
\(535\) −451.165 + 301.459i −0.843299 + 0.563474i
\(536\) 247.756 99.5043i 0.462231 0.185642i
\(537\) −522.479 349.109i −0.972959 0.650110i
\(538\) 616.140 120.255i 1.14524 0.223522i
\(539\) 134.669 + 251.949i 0.249851 + 0.467438i
\(540\) 4.79039 665.667i 0.00887110 1.23272i
\(541\) −39.6329 + 402.400i −0.0732587 + 0.743808i 0.886453 + 0.462819i \(0.153162\pi\)
−0.959711 + 0.280988i \(0.909338\pi\)
\(542\) −153.368 512.214i −0.282967 0.945043i
\(543\) 42.8562 + 42.8562i 0.0789249 + 0.0789249i
\(544\) 196.934 + 248.966i 0.362010 + 0.457658i
\(545\) 926.830 + 926.830i 1.70061 + 1.70061i
\(546\) 962.078 + 518.700i 1.76205 + 0.950001i
\(547\) 14.0799 142.956i 0.0257402 0.261345i −0.973698 0.227841i \(-0.926833\pi\)
0.999439 0.0335038i \(-0.0106666\pi\)
\(548\) −105.944 + 250.655i −0.193329 + 0.457400i
\(549\) 50.4046 + 94.3004i 0.0918117 + 0.171768i
\(550\) 357.857 + 240.980i 0.650650 + 0.438145i
\(551\) −442.675 295.786i −0.803404 0.536817i
\(552\) 255.000 + 174.396i 0.461956 + 0.315935i
\(553\) 104.466 69.8019i 0.188908 0.126224i
\(554\) −731.805 + 726.557i −1.32095 + 1.31148i
\(555\) −1404.25 1152.44i −2.53017 2.07646i
\(556\) −26.4775 + 250.348i −0.0476214 + 0.450266i
\(557\) −321.069 + 600.679i −0.576426 + 1.07842i 0.409669 + 0.912234i \(0.365644\pi\)
−0.986095 + 0.166183i \(0.946856\pi\)
\(558\) −154.939 292.396i −0.277668 0.524007i
\(559\) −219.348 + 529.553i −0.392394 + 0.947323i
\(560\) 653.286 1181.01i 1.16658 2.10894i
\(561\) −162.330 + 67.2393i −0.289358 + 0.119856i
\(562\) 443.038 535.899i 0.788323 0.953558i
\(563\) 53.4249 + 176.118i 0.0948932 + 0.312821i 0.991518 0.129970i \(-0.0414883\pi\)
−0.896625 + 0.442791i \(0.853988\pi\)
\(564\) 51.5540 + 565.097i 0.0914079 + 1.00195i
\(565\) −82.7242 839.913i −0.146415 1.48657i
\(566\) −303.084 + 124.266i −0.535485 + 0.219551i
\(567\) 199.372 1002.31i 0.351627 1.76775i
\(568\) −72.4881 + 662.582i −0.127620 + 1.16652i
\(569\) −1.15584 5.81081i −0.00203136 0.0102123i 0.979756 0.200194i \(-0.0641572\pi\)
−0.981788 + 0.189982i \(0.939157\pi\)
\(570\) −1698.12 344.134i −2.97916 0.603743i
\(571\) 438.016 + 132.871i 0.767103 + 0.232698i 0.649499 0.760362i \(-0.274979\pi\)
0.117604 + 0.993061i \(0.462479\pi\)
\(572\) −303.613 + 58.1243i −0.530792 + 0.101616i
\(573\) 31.3216 25.7050i 0.0546625 0.0448604i
\(574\) −604.145 + 492.182i −1.05252 + 0.857460i
\(575\) −470.305 −0.817922
\(576\) −148.067 + 141.808i −0.257060 + 0.246194i
\(577\) 816.771i 1.41555i 0.706439 + 0.707774i \(0.250300\pi\)
−0.706439 + 0.707774i \(0.749700\pi\)
\(578\) −295.532 + 240.762i −0.511301 + 0.416544i
\(579\) 295.445 + 360.000i 0.510267 + 0.621762i
\(580\) 325.713 479.950i 0.561574 0.827501i
\(581\) 46.8128 154.321i 0.0805729 0.265613i
\(582\) 256.142 + 51.9086i 0.440106 + 0.0891900i
\(583\) −114.905 + 22.8559i −0.197092 + 0.0392040i
\(584\) −17.9445 + 32.7174i −0.0307269 + 0.0560229i
\(585\) 393.577 + 78.2873i 0.672781 + 0.133824i
\(586\) 733.242 300.632i 1.25127 0.513024i
\(587\) −861.420 + 84.8425i −1.46750 + 0.144536i −0.799965 0.600046i \(-0.795149\pi\)
−0.667531 + 0.744582i \(0.732649\pi\)
\(588\) 503.836 604.995i 0.856863 1.02890i
\(589\) 1491.38 452.406i 2.53206 0.768092i
\(590\) −223.541 + 270.395i −0.378883 + 0.458297i
\(591\) −423.193 1021.68i −0.716062 1.72873i
\(592\) −84.7197 1008.82i −0.143108 1.70409i
\(593\) −425.090 176.078i −0.716846 0.296927i −0.00571199 0.999984i \(-0.501818\pi\)
−0.711134 + 0.703056i \(0.751818\pi\)
\(594\) 96.1448 + 181.442i 0.161860 + 0.305457i
\(595\) −737.973 394.455i −1.24029 0.662949i
\(596\) 656.798 + 812.159i 1.10201 + 1.36268i
\(597\) −364.930 + 444.669i −0.611273 + 0.744839i
\(598\) 239.137 237.422i 0.399895 0.397027i
\(599\) −129.368 193.612i −0.215973 0.323226i 0.707626 0.706587i \(-0.249766\pi\)
−0.923598 + 0.383362i \(0.874766\pi\)
\(600\) 244.535 1163.57i 0.407558 1.93929i
\(601\) −121.620 + 182.017i −0.202363 + 0.302858i −0.918746 0.394850i \(-0.870797\pi\)
0.716383 + 0.697708i \(0.245797\pi\)
\(602\) 640.302 + 431.177i 1.06362 + 0.716240i
\(603\) 94.2870 50.3974i 0.156363 0.0835778i
\(604\) −646.326 + 262.284i −1.07008 + 0.434245i
\(605\) 779.394 + 76.7636i 1.28825 + 0.126882i
\(606\) 726.119 + 391.484i 1.19822 + 0.646013i
\(607\) −393.042 + 393.042i −0.647516 + 0.647516i −0.952392 0.304876i \(-0.901385\pi\)
0.304876 + 0.952392i \(0.401385\pi\)
\(608\) −521.921 812.376i −0.858422 1.33614i
\(609\) 447.331 447.331i 0.734534 0.734534i
\(610\) −157.374 525.594i −0.257990 0.861629i
\(611\) 615.983 + 60.6690i 1.00816 + 0.0992946i
\(612\) 89.2323 + 90.5259i 0.145804 + 0.147918i
\(613\) −912.508 + 487.746i −1.48859 + 0.795670i −0.997165 0.0752481i \(-0.976025\pi\)
−0.491429 + 0.870918i \(0.663525\pi\)
\(614\) 634.617 123.861i 1.03358 0.201728i
\(615\) −605.507 + 906.206i −0.984565 + 1.47350i
\(616\) −4.49385 + 416.297i −0.00729521 + 0.675807i
\(617\) 176.091 + 263.538i 0.285398 + 0.427128i 0.946274 0.323367i \(-0.104815\pi\)
−0.660876 + 0.750496i \(0.729815\pi\)
\(618\) 92.8446 + 0.334068i 0.150234 + 0.000540563i
\(619\) −610.032 + 743.326i −0.985512 + 1.20085i −0.00589357 + 0.999983i \(0.501876\pi\)
−0.979618 + 0.200867i \(0.935624\pi\)
\(620\) 481.178 + 1628.32i 0.776093 + 2.62633i
\(621\) −197.412 105.519i −0.317894 0.169918i
\(622\) 651.168 + 200.091i 1.04689 + 0.321690i
\(623\) 1053.64 + 436.433i 1.69124 + 0.700535i
\(624\) 463.063 + 715.092i 0.742089 + 1.14598i
\(625\) 46.4763 + 112.204i 0.0743621 + 0.179526i
\(626\) −412.702 + 39.1488i −0.659268 + 0.0625379i
\(627\) 511.447 155.146i 0.815705 0.247441i
\(628\) −244.235 + 784.759i −0.388909 + 1.24962i
\(629\) −624.645 + 61.5222i −0.993076 + 0.0978095i
\(630\) 208.613 498.554i 0.331131 0.791356i
\(631\) −644.480 128.195i −1.02136 0.203162i −0.344124 0.938924i \(-0.611824\pi\)
−0.677240 + 0.735763i \(0.736824\pi\)
\(632\) 97.5558 8.54622i 0.154360 0.0135225i
\(633\) −439.027 + 87.3279i −0.693566 + 0.137959i
\(634\) −398.100 600.465i −0.627919 0.947106i
\(635\) −272.882 + 899.571i −0.429735 + 1.41665i
\(636\) 177.442 + 269.742i 0.278996 + 0.424123i
\(637\) −544.817 663.861i −0.855285 1.04217i
\(638\) −18.1779 + 177.995i −0.0284920 + 0.278990i
\(639\) 266.900i 0.417685i
\(640\) 889.129 562.234i 1.38926 0.878490i
\(641\) −612.437 −0.955441 −0.477720 0.878512i \(-0.658537\pi\)
−0.477720 + 0.878512i \(0.658537\pi\)
\(642\) −458.892 46.8647i −0.714785 0.0729980i
\(643\) −426.645 + 350.139i −0.663523 + 0.544539i −0.904757 0.425928i \(-0.859948\pi\)
0.241234 + 0.970467i \(0.422448\pi\)
\(644\) −249.415 379.154i −0.387290 0.588748i
\(645\) 1033.17 + 313.410i 1.60182 + 0.485907i
\(646\) −498.960 + 330.804i −0.772385 + 0.512081i
\(647\) 127.011 + 638.528i 0.196308 + 0.986906i 0.945765 + 0.324853i \(0.105315\pi\)
−0.749457 + 0.662053i \(0.769685\pi\)
\(648\) 511.944 610.252i 0.790037 0.941747i
\(649\) 21.1127 106.141i 0.0325312 0.163545i
\(650\) −1196.43 500.627i −1.84065 0.770195i
\(651\) 181.515 + 1842.95i 0.278824 + 2.83095i
\(652\) 231.569 744.062i 0.355167 1.14120i
\(653\) −101.353 334.115i −0.155211 0.511662i 0.844504 0.535550i \(-0.179896\pi\)
−0.999715 + 0.0238879i \(0.992396\pi\)
\(654\) 105.227 + 1109.29i 0.160897 + 1.69616i
\(655\) 657.141 272.197i 1.00327 0.415568i
\(656\) −597.356 + 109.909i −0.910604 + 0.167544i
\(657\) −5.71811 + 13.8047i −0.00870337 + 0.0210118i
\(658\) 244.850 796.829i 0.372112 1.21099i
\(659\) −604.311 + 1130.59i −0.917013 + 1.71561i −0.253676 + 0.967289i \(0.581640\pi\)
−0.663337 + 0.748321i \(0.730860\pi\)
\(660\) 165.013 + 558.408i 0.250019 + 0.846073i
\(661\) −45.8146 37.5991i −0.0693111 0.0568821i 0.599100 0.800674i \(-0.295525\pi\)
−0.668411 + 0.743792i \(0.733025\pi\)
\(662\) −0.106312 + 29.5465i −0.000160593 + 0.0446321i
\(663\) 439.177 293.448i 0.662408 0.442607i
\(664\) 89.8356 87.9168i 0.135295 0.132405i
\(665\) 2116.36 + 1414.10i 3.18249 + 2.12647i
\(666\) −77.6554 397.877i −0.116600 0.597413i
\(667\) −91.9426 172.012i −0.137845 0.257890i
\(668\) −319.100 323.726i −0.477695 0.484620i
\(669\) 111.140 1128.42i 0.166129 1.68673i
\(670\) −525.519 + 157.352i −0.784356 + 0.234853i
\(671\) 119.670 + 119.670i 0.178346 + 0.178346i
\(672\) 1067.74 419.932i 1.58890 0.624899i
\(673\) −459.302 459.302i −0.682469 0.682469i 0.278087 0.960556i \(-0.410300\pi\)
−0.960556 + 0.278087i \(0.910300\pi\)
\(674\) 160.937 298.504i 0.238780 0.442885i
\(675\) −84.4426 + 857.360i −0.125100 + 1.27016i
\(676\) 234.690 95.2390i 0.347175 0.140886i
\(677\) 93.9511 + 175.770i 0.138776 + 0.259631i 0.941703 0.336446i \(-0.109225\pi\)
−0.802927 + 0.596077i \(0.796725\pi\)
\(678\) 400.750 595.119i 0.591077 0.877756i
\(679\) −319.228 213.301i −0.470144 0.314140i
\(680\) −356.480 546.182i −0.524236 0.803209i
\(681\) −701.653 + 468.830i −1.03033 + 0.688443i
\(682\) −369.015 371.680i −0.541078 0.544985i
\(683\) 135.617 + 111.298i 0.198561 + 0.162955i 0.728420 0.685131i \(-0.240255\pi\)
−0.529859 + 0.848086i \(0.677755\pi\)
\(684\) −243.130 300.641i −0.355454 0.439534i
\(685\) 263.567 493.100i 0.384770 0.719854i
\(686\) −133.211 + 70.5875i −0.194185 + 0.102897i
\(687\) 347.581 839.135i 0.505941 1.22145i
\(688\) 275.967 + 534.669i 0.401115 + 0.777135i
\(689\) 325.378 134.776i 0.472247 0.195611i
\(690\) −489.213 404.441i −0.709004 0.586146i
\(691\) −266.300 877.875i −0.385384 1.27044i −0.908394 0.418114i \(-0.862691\pi\)
0.523010 0.852326i \(-0.324809\pi\)
\(692\) 624.544 749.939i 0.902520 1.08373i
\(693\) 16.3402 + 165.905i 0.0235789 + 0.239401i
\(694\) −240.303 586.098i −0.346258 0.844522i
\(695\) 100.909 507.306i 0.145193 0.729937i
\(696\) 473.379 138.036i 0.680142 0.198327i
\(697\) 73.4662 + 369.339i 0.105403 + 0.529899i
\(698\) −262.772 + 1296.64i −0.376464 + 1.85766i
\(699\) 1020.65 + 309.610i 1.46015 + 0.442933i
\(700\) −980.829 + 1445.29i −1.40118 + 2.06470i
\(701\) 647.510 531.397i 0.923694 0.758056i −0.0468694 0.998901i \(-0.514924\pi\)
0.970564 + 0.240845i \(0.0774245\pi\)
\(702\) −389.881 478.572i −0.555386 0.681727i
\(703\) 1909.24 2.71585
\(704\) −159.110 + 282.814i −0.226009 + 0.401724i
\(705\) 1165.90i 1.65375i
\(706\) 257.947 + 316.626i 0.365364 + 0.448479i
\(707\) −768.793 936.777i −1.08740 1.32500i
\(708\) −292.927 + 56.0785i −0.413739 + 0.0792070i
\(709\) 163.486 538.942i 0.230587 0.760144i −0.762932 0.646479i \(-0.776241\pi\)
0.993519 0.113665i \(-0.0362591\pi\)
\(710\) 272.006 1342.21i 0.383107 1.89043i
\(711\) 38.4603 7.65024i 0.0540933 0.0107598i
\(712\) 556.475 + 693.192i 0.781566 + 0.973584i
\(713\) 559.976 + 111.386i 0.785380 + 0.156222i
\(714\) −269.857 658.180i −0.377950 0.921820i
\(715\) 632.087 62.2551i 0.884037 0.0870701i
\(716\) 65.3704 + 716.542i 0.0912994 + 1.00076i
\(717\) 441.559 133.946i 0.615843 0.186814i
\(718\) 353.859 + 292.542i 0.492840 + 0.407440i
\(719\) 237.696 + 573.850i 0.330593 + 0.798122i 0.998545 + 0.0539181i \(0.0171710\pi\)
−0.667952 + 0.744204i \(0.732829\pi\)
\(720\) 329.437 262.519i 0.457552 0.364610i
\(721\) −126.011 52.1955i −0.174773 0.0723932i
\(722\) 971.095 514.577i 1.34501 0.712711i
\(723\) −271.952 145.362i −0.376144 0.201053i
\(724\) 7.29903 69.0133i 0.0100815 0.0953222i
\(725\) −476.217 + 580.272i −0.656851 + 0.800375i
\(726\) 469.077 + 472.465i 0.646112 + 0.650778i
\(727\) 340.693 + 509.883i 0.468629 + 0.701353i 0.988216 0.153065i \(-0.0489143\pi\)
−0.519587 + 0.854417i \(0.673914\pi\)
\(728\) −230.896 1230.04i −0.317165 1.68961i
\(729\) −176.493 + 264.141i −0.242103 + 0.362333i
\(730\) 42.8245 63.5948i 0.0586637 0.0871162i
\(731\) 328.996 175.852i 0.450062 0.240563i
\(732\) 181.584 429.612i 0.248066 0.586902i
\(733\) −636.894 62.7286i −0.868886 0.0855778i −0.346259 0.938139i \(-0.612548\pi\)
−0.522627 + 0.852561i \(0.675048\pi\)
\(734\) 373.489 692.742i 0.508841 0.943791i
\(735\) −1143.86 + 1143.86i −1.55627 + 1.55627i
\(736\) −28.3338 352.602i −0.0384970 0.479078i
\(737\) 119.653 119.653i 0.162352 0.162352i
\(738\) −232.994 + 69.7635i −0.315710 + 0.0945304i
\(739\) 695.885 + 68.5387i 0.941658 + 0.0927452i 0.557183 0.830390i \(-0.311882\pi\)
0.384475 + 0.923135i \(0.374382\pi\)
\(740\) −14.9686 + 2080.01i −0.0202278 + 2.81083i
\(741\) −1416.95 + 757.376i −1.91221 + 1.02210i
\(742\) −90.8594 465.529i −0.122452 0.627398i
\(743\) −514.336 + 769.759i −0.692243 + 1.03601i 0.304271 + 0.952586i \(0.401587\pi\)
−0.996514 + 0.0834292i \(0.973413\pi\)
\(744\) −566.738 + 1327.51i −0.761744 + 1.78429i
\(745\) −1192.30 1784.40i −1.60040 2.39517i
\(746\) 0.914706 254.216i 0.00122615 0.340772i
\(747\) 31.9308 38.9078i 0.0427454 0.0520855i
\(748\) 176.745 + 96.1139i 0.236290 + 0.128494i
\(749\) 597.623 + 319.436i 0.797895 + 0.426484i
\(750\) −295.911 + 963.002i −0.394549 + 1.28400i
\(751\) −933.751 386.772i −1.24334 0.515010i −0.338585 0.940936i \(-0.609948\pi\)
−0.904758 + 0.425926i \(0.859948\pi\)
\(752\) 466.003 452.778i 0.619685 0.602099i
\(753\) 224.538 + 542.083i 0.298191 + 0.719897i
\(754\) −50.7934 535.459i