Properties

Label 224.3.v.b.13.12
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.12
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.62574 - 1.16489i) q^{2} +(3.33013 + 1.37939i) q^{3} +(1.28608 + 3.78761i) q^{4} +(3.52027 + 8.49868i) q^{5} +(-3.80711 - 6.12175i) q^{6} +(6.86401 - 1.37310i) q^{7} +(2.32130 - 7.65582i) q^{8} +(2.82310 + 2.82310i) q^{9} +O(q^{10})\) \(q+(-1.62574 - 1.16489i) q^{2} +(3.33013 + 1.37939i) q^{3} +(1.28608 + 3.78761i) q^{4} +(3.52027 + 8.49868i) q^{5} +(-3.80711 - 6.12175i) q^{6} +(6.86401 - 1.37310i) q^{7} +(2.32130 - 7.65582i) q^{8} +(2.82310 + 2.82310i) q^{9} +(4.17695 - 17.9174i) q^{10} +(-3.28988 - 7.94246i) q^{11} +(-0.941762 + 14.3872i) q^{12} +(-7.03479 + 16.9835i) q^{13} +(-12.7586 - 5.76348i) q^{14} +33.1575i q^{15} +(-12.6920 + 9.74234i) q^{16} -0.600596 q^{17} +(-1.30104 - 7.87823i) q^{18} +(3.14670 - 7.59680i) q^{19} +(-27.6624 + 24.2634i) q^{20} +(24.7521 + 4.89550i) q^{21} +(-3.90358 + 16.7447i) q^{22} +(-0.165648 - 0.165648i) q^{23} +(18.2906 - 22.2929i) q^{24} +(-42.1576 + 42.1576i) q^{25} +(31.2206 - 19.4161i) q^{26} +(-6.90731 - 16.6757i) q^{27} +(14.0284 + 24.2323i) q^{28} +(14.5043 - 35.0166i) q^{29} +(38.6247 - 53.9056i) q^{30} -21.7594i q^{31} +(31.9826 - 1.05380i) q^{32} -30.9874i q^{33} +(0.976415 + 0.699626i) q^{34} +(35.8327 + 53.5013i) q^{35} +(-7.06208 + 14.3235i) q^{36} +(30.4184 - 12.5997i) q^{37} +(-13.9651 + 8.68490i) q^{38} +(-46.8536 + 46.8536i) q^{39} +(73.2360 - 7.22253i) q^{40} +(-15.4960 + 15.4960i) q^{41} +(-34.5378 - 36.7922i) q^{42} +(28.0058 + 67.6120i) q^{43} +(25.8519 - 22.6754i) q^{44} +(-14.0546 + 33.9307i) q^{45} +(0.0763402 + 0.462263i) q^{46} -23.9960 q^{47} +(-55.7044 + 14.9361i) q^{48} +(45.2292 - 18.8500i) q^{49} +(117.646 - 19.4286i) q^{50} +(-2.00006 - 0.828453i) q^{51} +(-73.3742 - 4.80294i) q^{52} +(-19.4929 - 47.0601i) q^{53} +(-8.19581 + 35.1567i) q^{54} +(55.9192 - 55.9192i) q^{55} +(5.42122 - 55.7370i) q^{56} +(20.9578 - 20.9578i) q^{57} +(-64.3707 + 40.0320i) q^{58} +(13.0880 + 31.5973i) q^{59} +(-125.588 + 42.6432i) q^{60} +(51.4321 + 21.3039i) q^{61} +(-25.3473 + 35.3752i) q^{62} +(23.2542 + 15.5014i) q^{63} +(-53.2231 - 35.5429i) q^{64} -169.102 q^{65} +(-36.0969 + 50.3776i) q^{66} +(38.4846 - 92.9100i) q^{67} +(-0.772414 - 2.27482i) q^{68} +(-0.323138 - 0.780124i) q^{69} +(4.06821 - 128.720i) q^{70} +(56.8938 - 56.8938i) q^{71} +(28.1664 - 15.0599i) q^{72} +(-86.4782 + 86.4782i) q^{73} +(-64.1296 - 14.9501i) q^{74} +(-198.542 + 82.2388i) q^{75} +(32.8206 + 2.14838i) q^{76} +(-33.4875 - 49.9998i) q^{77} +(130.751 - 21.5928i) q^{78} +134.292i q^{79} +(-127.476 - 73.5696i) q^{80} -100.992i q^{81} +(43.2435 - 7.14141i) q^{82} +(23.6076 - 56.9938i) q^{83} +(13.2909 + 100.047i) q^{84} +(-2.11426 - 5.10427i) q^{85} +(33.2301 - 142.543i) q^{86} +(96.6027 - 96.6027i) q^{87} +(-68.4429 + 6.74984i) q^{88} +(-87.5937 - 87.5937i) q^{89} +(62.3746 - 38.7907i) q^{90} +(-24.9668 + 126.234i) q^{91} +(0.414375 - 0.840449i) q^{92} +(30.0146 - 72.4617i) q^{93} +(39.0113 + 27.9526i) q^{94} +75.6400 q^{95} +(107.960 + 40.6071i) q^{96} -49.2970i q^{97} +(-95.4891 - 22.0417i) q^{98} +(13.1347 - 31.7100i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.62574 1.16489i −0.812871 0.582443i
\(3\) 3.33013 + 1.37939i 1.11004 + 0.459795i 0.860953 0.508685i \(-0.169868\pi\)
0.249091 + 0.968480i \(0.419868\pi\)
\(4\) 1.28608 + 3.78761i 0.321520 + 0.946903i
\(5\) 3.52027 + 8.49868i 0.704054 + 1.69974i 0.714349 + 0.699789i \(0.246723\pi\)
−0.0102952 + 0.999947i \(0.503277\pi\)
\(6\) −3.80711 6.12175i −0.634518 1.02029i
\(7\) 6.86401 1.37310i 0.980572 0.196157i
\(8\) 2.32130 7.65582i 0.290163 0.956977i
\(9\) 2.82310 + 2.82310i 0.313678 + 0.313678i
\(10\) 4.17695 17.9174i 0.417695 1.79174i
\(11\) −3.28988 7.94246i −0.299080 0.722042i −0.999962 0.00876488i \(-0.997210\pi\)
0.700882 0.713277i \(-0.252790\pi\)
\(12\) −0.941762 + 14.3872i −0.0784802 + 1.19894i
\(13\) −7.03479 + 16.9835i −0.541138 + 1.30642i 0.382783 + 0.923838i \(0.374966\pi\)
−0.923921 + 0.382584i \(0.875034\pi\)
\(14\) −12.7586 5.76348i −0.911330 0.411677i
\(15\) 33.1575i 2.21050i
\(16\) −12.6920 + 9.74234i −0.793250 + 0.608896i
\(17\) −0.600596 −0.0353292 −0.0176646 0.999844i \(-0.505623\pi\)
−0.0176646 + 0.999844i \(0.505623\pi\)
\(18\) −1.30104 7.87823i −0.0722803 0.437680i
\(19\) 3.14670 7.59680i 0.165616 0.399832i −0.819183 0.573533i \(-0.805573\pi\)
0.984798 + 0.173701i \(0.0555726\pi\)
\(20\) −27.6624 + 24.2634i −1.38312 + 1.21317i
\(21\) 24.7521 + 4.89550i 1.17867 + 0.233119i
\(22\) −3.90358 + 16.7447i −0.177435 + 0.761124i
\(23\) −0.165648 0.165648i −0.00720211 0.00720211i 0.703497 0.710699i \(-0.251621\pi\)
−0.710699 + 0.703497i \(0.751621\pi\)
\(24\) 18.2906 22.2929i 0.762107 0.928871i
\(25\) −42.1576 + 42.1576i −1.68631 + 1.68631i
\(26\) 31.2206 19.4161i 1.20079 0.746771i
\(27\) −6.90731 16.6757i −0.255826 0.617620i
\(28\) 14.0284 + 24.2323i 0.501015 + 0.865438i
\(29\) 14.5043 35.0166i 0.500150 1.20747i −0.449252 0.893405i \(-0.648310\pi\)
0.949402 0.314063i \(-0.101690\pi\)
\(30\) 38.6247 53.9056i 1.28749 1.79685i
\(31\) 21.7594i 0.701917i −0.936391 0.350958i \(-0.885856\pi\)
0.936391 0.350958i \(-0.114144\pi\)
\(32\) 31.9826 1.05380i 0.999458 0.0329313i
\(33\) 30.9874i 0.939014i
\(34\) 0.976415 + 0.699626i 0.0287181 + 0.0205772i
\(35\) 35.8327 + 53.5013i 1.02379 + 1.52861i
\(36\) −7.06208 + 14.3235i −0.196169 + 0.397876i
\(37\) 30.4184 12.5997i 0.822118 0.340532i 0.0683403 0.997662i \(-0.478230\pi\)
0.753778 + 0.657130i \(0.228230\pi\)
\(38\) −13.9651 + 8.68490i −0.367503 + 0.228550i
\(39\) −46.8536 + 46.8536i −1.20137 + 1.20137i
\(40\) 73.2360 7.22253i 1.83090 0.180563i
\(41\) −15.4960 + 15.4960i −0.377950 + 0.377950i −0.870362 0.492412i \(-0.836115\pi\)
0.492412 + 0.870362i \(0.336115\pi\)
\(42\) −34.5378 36.7922i −0.822329 0.876004i
\(43\) 28.0058 + 67.6120i 0.651298 + 1.57237i 0.810896 + 0.585190i \(0.198980\pi\)
−0.159599 + 0.987182i \(0.551020\pi\)
\(44\) 25.8519 22.6754i 0.587544 0.515350i
\(45\) −14.0546 + 33.9307i −0.312324 + 0.754016i
\(46\) 0.0763402 + 0.462263i 0.00165957 + 0.0100492i
\(47\) −23.9960 −0.510552 −0.255276 0.966868i \(-0.582166\pi\)
−0.255276 + 0.966868i \(0.582166\pi\)
\(48\) −55.7044 + 14.9361i −1.16051 + 0.311169i
\(49\) 45.2292 18.8500i 0.923045 0.384693i
\(50\) 117.646 19.4286i 2.35293 0.388572i
\(51\) −2.00006 0.828453i −0.0392169 0.0162442i
\(52\) −73.3742 4.80294i −1.41104 0.0923642i
\(53\) −19.4929 47.0601i −0.367791 0.887926i −0.994112 0.108360i \(-0.965440\pi\)
0.626321 0.779565i \(-0.284560\pi\)
\(54\) −8.19581 + 35.1567i −0.151774 + 0.651050i
\(55\) 55.9192 55.9192i 1.01671 1.01671i
\(56\) 5.42122 55.7370i 0.0968075 0.995303i
\(57\) 20.9578 20.9578i 0.367681 0.367681i
\(58\) −64.3707 + 40.0320i −1.10984 + 0.690208i
\(59\) 13.0880 + 31.5973i 0.221831 + 0.535548i 0.995139 0.0984832i \(-0.0313991\pi\)
−0.773307 + 0.634031i \(0.781399\pi\)
\(60\) −125.588 + 42.6432i −2.09313 + 0.710720i
\(61\) 51.4321 + 21.3039i 0.843150 + 0.349244i 0.762095 0.647466i \(-0.224171\pi\)
0.0810550 + 0.996710i \(0.474171\pi\)
\(62\) −25.3473 + 35.3752i −0.408827 + 0.570568i
\(63\) 23.2542 + 15.5014i 0.369114 + 0.246054i
\(64\) −53.2231 35.5429i −0.831611 0.555358i
\(65\) −169.102 −2.60156
\(66\) −36.0969 + 50.3776i −0.546922 + 0.763297i
\(67\) 38.4846 92.9100i 0.574396 1.38672i −0.323382 0.946268i \(-0.604820\pi\)
0.897779 0.440447i \(-0.145180\pi\)
\(68\) −0.772414 2.27482i −0.0113590 0.0334533i
\(69\) −0.323138 0.780124i −0.00468316 0.0113061i
\(70\) 4.06821 128.720i 0.0581172 1.83886i
\(71\) 56.8938 56.8938i 0.801321 0.801321i −0.181981 0.983302i \(-0.558251\pi\)
0.983302 + 0.181981i \(0.0582510\pi\)
\(72\) 28.1664 15.0599i 0.391200 0.209165i
\(73\) −86.4782 + 86.4782i −1.18463 + 1.18463i −0.206102 + 0.978531i \(0.566078\pi\)
−0.978531 + 0.206102i \(0.933922\pi\)
\(74\) −64.1296 14.9501i −0.866617 0.202028i
\(75\) −198.542 + 82.2388i −2.64723 + 1.09652i
\(76\) 32.8206 + 2.14838i 0.431850 + 0.0282681i
\(77\) −33.4875 49.9998i −0.434903 0.649348i
\(78\) 130.751 21.5928i 1.67629 0.276830i
\(79\) 134.292i 1.69990i 0.526862 + 0.849951i \(0.323369\pi\)
−0.526862 + 0.849951i \(0.676631\pi\)
\(80\) −127.476 73.5696i −1.59345 0.919620i
\(81\) 100.992i 1.24682i
\(82\) 43.2435 7.14141i 0.527359 0.0870904i
\(83\) 23.6076 56.9938i 0.284429 0.686673i −0.715500 0.698613i \(-0.753801\pi\)
0.999929 + 0.0119406i \(0.00380089\pi\)
\(84\) 13.2909 + 100.047i 0.158225 + 1.19104i
\(85\) −2.11426 5.10427i −0.0248736 0.0600503i
\(86\) 33.2301 142.543i 0.386396 1.65748i
\(87\) 96.6027 96.6027i 1.11038 1.11038i
\(88\) −68.4429 + 6.74984i −0.777760 + 0.0767027i
\(89\) −87.5937 87.5937i −0.984199 0.984199i 0.0156778 0.999877i \(-0.495009\pi\)
−0.999877 + 0.0156778i \(0.995009\pi\)
\(90\) 62.3746 38.7907i 0.693051 0.431007i
\(91\) −24.9668 + 126.234i −0.274361 + 1.38719i
\(92\) 0.414375 0.840449i 0.00450407 0.00913532i
\(93\) 30.0146 72.4617i 0.322738 0.779158i
\(94\) 39.0113 + 27.9526i 0.415013 + 0.297368i
\(95\) 75.6400 0.796211
\(96\) 107.960 + 40.6071i 1.12458 + 0.422990i
\(97\) 49.2970i 0.508217i −0.967176 0.254109i \(-0.918218\pi\)
0.967176 0.254109i \(-0.0817820\pi\)
\(98\) −95.4891 22.0417i −0.974378 0.224915i
\(99\) 13.1347 31.7100i 0.132674 0.320303i
\(100\) −213.895 105.459i −2.13895 1.05459i
\(101\) −35.0080 84.5169i −0.346614 0.836801i −0.997015 0.0772095i \(-0.975399\pi\)
0.650401 0.759591i \(1.72540\pi\)
\(102\) 2.28653 + 3.67670i 0.0224170 + 0.0360461i
\(103\) 35.4062 + 35.4062i 0.343749 + 0.343749i 0.857775 0.514026i \(-0.171846\pi\)
−0.514026 + 0.857775i \(0.671846\pi\)
\(104\) 113.693 + 93.2809i 1.09320 + 0.896932i
\(105\) 45.5286 + 227.593i 0.433606 + 2.16756i
\(106\) −23.1292 + 99.2146i −0.218200 + 0.935987i
\(107\) −25.2163 60.8774i −0.235666 0.568948i 0.761160 0.648565i \(-0.224630\pi\)
−0.996826 + 0.0796166i \(0.974630\pi\)
\(108\) 54.2778 47.6085i 0.502572 0.440820i
\(109\) 5.97957 + 2.47682i 0.0548584 + 0.0227231i 0.409944 0.912111i \(-0.365548\pi\)
−0.355086 + 0.934834i \(0.615548\pi\)
\(110\) −156.050 + 25.7707i −1.41863 + 0.234279i
\(111\) 118.677 1.06916
\(112\) −73.7408 + 84.2989i −0.658400 + 0.752669i
\(113\) 145.516i 1.28775i 0.765130 + 0.643876i \(0.222675\pi\)
−0.765130 + 0.643876i \(0.777325\pi\)
\(114\) −58.4855 + 9.65855i −0.513031 + 0.0847241i
\(115\) 0.824666 1.99092i 0.00717101 0.0173124i
\(116\) 151.283 + 9.90270i 1.30416 + 0.0853681i
\(117\) −67.8061 + 28.0862i −0.579539 + 0.240053i
\(118\) 15.5295 66.6152i 0.131606 0.564536i
\(119\) −4.12250 + 0.824679i −0.0346428 + 0.00693008i
\(120\) 253.848 + 76.9686i 2.11540 + 0.641405i
\(121\) 33.3005 33.3005i 0.275210 0.275210i
\(122\) −58.7988 94.5472i −0.481957 0.774977i
\(123\) −72.9784 + 30.2286i −0.593320 + 0.245761i
\(124\) 82.4162 27.9844i 0.664647 0.225680i
\(125\) −294.224 121.871i −2.35379 0.974971i
\(126\) −19.7480 52.2898i −0.156730 0.414998i
\(127\) 72.8612 0.573710 0.286855 0.957974i \(-0.407390\pi\)
0.286855 + 0.957974i \(0.407390\pi\)
\(128\) 45.1236 + 119.783i 0.352528 + 0.935801i
\(129\) 263.788i 2.04486i
\(130\) 274.916 + 196.984i 2.11474 + 1.51526i
\(131\) −11.0314 4.56936i −0.0842092 0.0348806i 0.340181 0.940360i \(-0.389512\pi\)
−0.424390 + 0.905479i \(0.639512\pi\)
\(132\) 117.368 39.8523i 0.889155 0.301912i
\(133\) 11.1678 56.4652i 0.0839683 0.424550i
\(134\) −170.796 + 106.218i −1.27459 + 0.792668i
\(135\) 117.406 117.406i 0.869675 0.869675i
\(136\) −1.39416 + 4.59805i −0.0102512 + 0.0338092i
\(137\) −135.095 135.095i −0.986096 0.986096i 0.0138082 0.999905i \(-0.495605\pi\)
−0.999905 + 0.0138082i \(0.995605\pi\)
\(138\) −0.383417 + 1.64470i −0.00277838 + 0.0119181i
\(139\) 35.7815 14.8212i 0.257421 0.106627i −0.250241 0.968184i \(-0.580510\pi\)
0.507662 + 0.861556i \(0.330510\pi\)
\(140\) −156.559 + 204.527i −1.11828 + 1.46091i
\(141\) −79.9097 33.0997i −0.566735 0.234749i
\(142\) −158.769 + 26.2199i −1.11809 + 0.184647i
\(143\) 158.034 1.10514
\(144\) −63.3344 8.32719i −0.439822 0.0578277i
\(145\) 348.654 2.40451
\(146\) 241.329 39.8540i 1.65293 0.272973i
\(147\) 176.620 0.384329i 1.20150 0.00261448i
\(148\) 86.8432 + 99.0087i 0.586778 + 0.668978i
\(149\) 30.8325 + 74.4363i 0.206930 + 0.499573i 0.992937 0.118645i \(-0.0378550\pi\)
−0.786007 + 0.618218i \(0.787855\pi\)
\(150\) 418.577 + 97.5798i 2.79051 + 0.650532i
\(151\) −73.9128 73.9128i −0.489489 0.489489i 0.418656 0.908145i \(-0.362501\pi\)
−0.908145 + 0.418656i \(0.862501\pi\)
\(152\) −50.8553 41.7250i −0.334574 0.274507i
\(153\) −1.69554 1.69554i −0.0110820 0.0110820i
\(154\) −3.80195 + 120.296i −0.0246880 + 0.781143i
\(155\) 184.926 76.5990i 1.19307 0.494187i
\(156\) −237.720 117.206i −1.52385 0.751318i
\(157\) −72.9567 30.2197i −0.464692 0.192482i 0.138038 0.990427i \(-0.455920\pi\)
−0.602730 + 0.797945i \(0.705920\pi\)
\(158\) 156.435 218.325i 0.990096 1.38180i
\(159\) 183.604i 1.15474i
\(160\) 121.543 + 268.101i 0.759647 + 1.67563i
\(161\) −1.36446 0.909560i −0.00847493 0.00564944i
\(162\) −117.645 + 164.188i −0.726202 + 1.01350i
\(163\) −3.35229 + 8.09315i −0.0205662 + 0.0496512i −0.933829 0.357720i \(-0.883554\pi\)
0.913263 + 0.407371i \(0.133554\pi\)
\(164\) −78.6217 38.7636i −0.479400 0.236363i
\(165\) 263.352 109.084i 1.59608 0.661116i
\(166\) −104.771 + 65.1571i −0.631152 + 0.392513i
\(167\) 143.780 + 143.780i 0.860957 + 0.860957i 0.991449 0.130493i \(-0.0416559\pi\)
−0.130493 + 0.991449i \(0.541656\pi\)
\(168\) 94.9361 178.133i 0.565096 1.06032i
\(169\) −119.450 119.450i −0.706803 0.706803i
\(170\) −2.50866 + 10.7611i −0.0147568 + 0.0633007i
\(171\) 30.3300 12.5631i 0.177368 0.0734684i
\(172\) −220.070 + 193.030i −1.27948 + 1.12226i
\(173\) 108.315 261.495i 0.626097 1.51153i −0.218337 0.975873i \(-0.570063\pi\)
0.844434 0.535659i \(-0.179937\pi\)
\(174\) −269.582 + 44.5200i −1.54932 + 0.255862i
\(175\) −231.484 + 347.257i −1.32276 + 1.98433i
\(176\) 119.133 + 68.7547i 0.676894 + 0.390651i
\(177\) 123.277i 0.696478i
\(178\) 40.3681 + 244.442i 0.226787 + 1.37327i
\(179\) −328.434 136.042i −1.83483 0.760010i −0.962610 0.270892i \(-0.912681\pi\)
−0.872218 0.489118i \(-0.837319\pi\)
\(180\) −146.592 9.59563i −0.814398 0.0533090i
\(181\) −97.6960 + 40.4670i −0.539757 + 0.223575i −0.635871 0.771796i \(-0.719359\pi\)
0.0961136 + 0.995370i \(0.469359\pi\)
\(182\) 187.638 176.141i 1.03098 0.967808i
\(183\) 141.889 + 141.889i 0.775352 + 0.775352i
\(184\) −1.65269 + 0.883654i −0.00898204 + 0.00480247i
\(185\) 214.162 + 214.162i 1.15763 + 1.15763i
\(186\) −133.206 + 82.8405i −0.716160 + 0.445379i
\(187\) 1.97589 + 4.77021i 0.0105662 + 0.0255092i
\(188\) −30.8607 90.8874i −0.164153 0.483443i
\(189\) −70.3093 104.978i −0.372007 0.555439i
\(190\) −122.971 88.1120i −0.647217 0.463747i
\(191\) −143.562 −0.751633 −0.375816 0.926694i \(-0.622638\pi\)
−0.375816 + 0.926694i \(0.622638\pi\)
\(192\) −128.212 191.778i −0.667773 0.998843i
\(193\) 47.4546 0.245879 0.122939 0.992414i \(-0.460768\pi\)
0.122939 + 0.992414i \(0.460768\pi\)
\(194\) −57.4255 + 80.1443i −0.296008 + 0.413115i
\(195\) −563.131 233.256i −2.88785 1.19619i
\(196\) 129.565 + 147.068i 0.661044 + 0.750347i
\(197\) 132.492 54.8800i 0.672548 0.278579i −0.0201597 0.999797i \(-0.506417\pi\)
0.692708 + 0.721218i \(0.256417\pi\)
\(198\) −58.2923 + 36.2519i −0.294406 + 0.183090i
\(199\) −196.096 196.096i −0.985409 0.985409i 0.0144863 0.999895i \(-0.495389\pi\)
−0.999895 + 0.0144863i \(0.995389\pi\)
\(200\) 224.891 + 420.612i 1.12445 + 2.10306i
\(201\) 256.317 256.317i 1.27521 1.27521i
\(202\) −41.5385 + 178.183i −0.205636 + 0.882095i
\(203\) 51.4766 260.270i 0.253579 1.28212i
\(204\) 0.565619 8.64092i 0.00277264 0.0423574i
\(205\) −186.245 77.1452i −0.908513 0.376318i
\(206\) −16.3172 98.8055i −0.0792096 0.479638i
\(207\) 0.935285i 0.00451829i
\(208\) −76.1734 284.090i −0.366218 1.36582i
\(209\) −70.6895 −0.338227
\(210\) 191.103 423.044i 0.910013 2.01450i
\(211\) −80.3946 33.3005i −0.381017 0.157822i 0.183951 0.982935i \(-0.441111\pi\)
−0.564968 + 0.825113i \(0.691111\pi\)
\(212\) 153.176 134.355i 0.722527 0.633748i
\(213\) 267.942 110.985i 1.25794 0.521058i
\(214\) −29.9201 + 128.345i −0.139814 + 0.599744i
\(215\) −476.025 + 476.025i −2.21407 + 2.21407i
\(216\) −143.700 + 14.1717i −0.665279 + 0.0656099i
\(217\) −29.8779 149.357i −0.137686 0.688280i
\(218\) −6.83603 10.9922i −0.0313579 0.0504229i
\(219\) −407.270 + 168.697i −1.85968 + 0.770305i
\(220\) 283.717 + 139.884i 1.28962 + 0.635835i
\(221\) 4.22507 10.2002i 0.0191180 0.0461548i
\(222\) −192.938 138.245i −0.869091 0.622726i
\(223\) 90.7620i 0.407004i 0.979074 + 0.203502i \(0.0652324\pi\)
−0.979074 + 0.203502i \(0.934768\pi\)
\(224\) 218.082 51.1487i 0.973581 0.228342i
\(225\) −238.031 −1.05791
\(226\) 169.510 236.572i 0.750042 1.04678i
\(227\) −10.1792 4.21638i −0.0448425 0.0185744i 0.360149 0.932895i \(-0.382726\pi\)
−0.404992 + 0.914320i \(0.632726\pi\)
\(228\) 106.334 + 52.4267i 0.466375 + 0.229941i
\(229\) 134.494 + 324.696i 0.587308 + 1.41789i 0.886066 + 0.463559i \(0.153428\pi\)
−0.298758 + 0.954329i \(0.596572\pi\)
\(230\) −3.65989 + 2.27608i −0.0159126 + 0.00989601i
\(231\) −42.5489 212.698i −0.184194 0.920771i
\(232\) −234.412 192.327i −1.01039 0.828994i
\(233\) 95.4143 + 95.4143i 0.409504 + 0.409504i 0.881565 0.472062i \(-0.156490\pi\)
−0.472062 + 0.881565i \(0.656490\pi\)
\(234\) 142.952 + 33.3254i 0.610908 + 0.142416i
\(235\) −84.4722 203.934i −0.359456 0.867804i
\(236\) −102.846 + 90.2091i −0.435789 + 0.382242i
\(237\) −185.241 + 447.211i −0.781607 + 1.88697i
\(238\) 7.66277 + 3.46152i 0.0321965 + 0.0145442i
\(239\) 207.433i 0.867921i 0.900932 + 0.433960i \(0.142884\pi\)
−0.900932 + 0.433960i \(0.857116\pi\)
\(240\) −323.032 420.835i −1.34597 1.75348i
\(241\) 56.7113 0.235316 0.117658 0.993054i \(-0.462461\pi\)
0.117658 + 0.993054i \(0.462461\pi\)
\(242\) −92.9293 + 15.3467i −0.384005 + 0.0634163i
\(243\) 77.1416 186.236i 0.317455 0.766405i
\(244\) −14.5450 + 222.203i −0.0596108 + 0.910670i
\(245\) 319.419 + 318.032i 1.30375 + 1.29809i
\(246\) 153.857 + 35.8675i 0.625435 + 0.145803i
\(247\) 106.884 + 106.884i 0.432728 + 0.432728i
\(248\) −166.586 50.5102i −0.671719 0.203670i
\(249\) 157.233 157.233i 0.631457 0.631457i
\(250\) 336.365 + 540.869i 1.34546 + 2.16347i
\(251\) 123.561 + 298.303i 0.492276 + 1.18846i 0.953559 + 0.301206i \(0.0973891\pi\)
−0.461284 + 0.887253i \(0.652611\pi\)
\(252\) −28.8065 + 108.014i −0.114311 + 0.428627i
\(253\) −0.770694 + 1.86062i −0.00304622 + 0.00735423i
\(254\) −118.454 84.8750i −0.466352 0.334153i
\(255\) 19.9143i 0.0780952i
\(256\) 66.1737 247.300i 0.258491 0.966014i
\(257\) 377.682i 1.46958i 0.678295 + 0.734789i \(0.262719\pi\)
−0.678295 + 0.734789i \(0.737281\pi\)
\(258\) 307.282 428.851i 1.19102 1.66221i
\(259\) 191.491 128.252i 0.739348 0.495181i
\(260\) −217.478 640.491i −0.836455 2.46343i
\(261\) 139.803 57.9081i 0.535642 0.221870i
\(262\) 12.6114 + 20.2789i 0.0481353 + 0.0774005i
\(263\) 207.404 207.404i 0.788609 0.788609i −0.192657 0.981266i \(-0.561710\pi\)
0.981266 + 0.192657i \(0.0617104\pi\)
\(264\) −237.234 71.9312i −0.898615 0.272467i
\(265\) 331.328 331.328i 1.25030 1.25030i
\(266\) −83.9315 + 78.7887i −0.315532 + 0.296198i
\(267\) −170.873 412.524i −0.639974 1.54503i
\(268\) 401.401 + 26.2750i 1.49776 + 0.0980409i
\(269\) 131.689 317.925i 0.489550 1.18188i −0.465397 0.885102i \(-0.654088\pi\)
0.954947 0.296777i \(-0.0959117\pi\)
\(270\) −327.637 + 54.1074i −1.21347 + 0.200398i
\(271\) 63.8128 0.235472 0.117736 0.993045i \(-0.462436\pi\)
0.117736 + 0.993045i \(0.462436\pi\)
\(272\) 7.62276 5.85121i 0.0280249 0.0215118i
\(273\) −257.268 + 385.938i −0.942375 + 1.41369i
\(274\) 62.2595 + 377.001i 0.227224 + 1.37591i
\(275\) 473.529 + 196.142i 1.72192 + 0.713244i
\(276\) 2.53923 2.22722i 0.00920009 0.00806965i
\(277\) −36.8729 89.0191i −0.133115 0.321368i 0.843241 0.537535i \(-0.180644\pi\)
−0.976356 + 0.216167i \(0.930644\pi\)
\(278\) −75.4364 17.5859i −0.271354 0.0632587i
\(279\) 61.4291 61.4291i 0.220176 0.220176i
\(280\) 492.775 150.136i 1.75991 0.536200i
\(281\) −62.0778 + 62.0778i −0.220917 + 0.220917i −0.808885 0.587967i \(-0.799928\pi\)
0.587967 + 0.808885i \(0.299928\pi\)
\(282\) 91.3552 + 146.897i 0.323955 + 0.520912i
\(283\) 20.6980 + 49.9693i 0.0731376 + 0.176570i 0.956220 0.292647i \(-0.0945362\pi\)
−0.883083 + 0.469217i \(0.844536\pi\)
\(284\) 288.661 + 142.322i 1.01641 + 0.501132i
\(285\) 251.891 + 104.337i 0.883828 + 0.366094i
\(286\) −256.923 184.092i −0.898333 0.643679i
\(287\) −85.0868 + 127.642i −0.296470 + 0.444745i
\(288\) 93.2653 + 87.3153i 0.323838 + 0.303178i
\(289\) −288.639 −0.998752
\(290\) −566.822 406.142i −1.95456 1.40049i
\(291\) 67.9996 164.166i 0.233676 0.564143i
\(292\) −438.764 216.328i −1.50261 0.740849i
\(293\) 109.142 + 263.492i 0.372499 + 0.899292i 0.993326 + 0.115344i \(0.0367970\pi\)
−0.620827 + 0.783948i \(0.713203\pi\)
\(294\) −287.587 205.118i −0.978187 0.697680i
\(295\) −222.462 + 222.462i −0.754109 + 0.754109i
\(296\) −25.8508 262.125i −0.0873338 0.885558i
\(297\) −109.722 + 109.722i −0.369435 + 0.369435i
\(298\) 36.5841 156.931i 0.122765 0.526613i
\(299\) 3.97859 1.64799i 0.0133063 0.00551166i
\(300\) −566.829 646.234i −1.88943 2.15411i
\(301\) 285.070 + 425.634i 0.947077 + 1.41407i
\(302\) 34.0632 + 206.263i 0.112792 + 0.682991i
\(303\) 329.742i 1.08826i
\(304\) 34.0727 + 127.075i 0.112081 + 0.418009i
\(305\) 512.101i 1.67902i
\(306\) 0.781402 + 4.73163i 0.00255360 + 0.0154629i
\(307\) −31.3461 + 75.6761i −0.102104 + 0.246502i −0.966674 0.256012i \(-0.917591\pi\)
0.864569 + 0.502514i \(0.167591\pi\)
\(308\) 146.312 191.142i 0.475039 0.620589i
\(309\) 69.0684 + 166.746i 0.223522 + 0.539631i
\(310\) −389.872 90.8879i −1.25765 0.293187i
\(311\) −142.483 + 142.483i −0.458146 + 0.458146i −0.898046 0.439901i \(-0.855014\pi\)
0.439901 + 0.898046i \(0.355014\pi\)
\(312\) 249.941 + 467.464i 0.801093 + 1.49828i
\(313\) −306.371 306.371i −0.978821 0.978821i 0.0209598 0.999780i \(-0.493328\pi\)
−0.999780 + 0.0209598i \(0.993328\pi\)
\(314\) 83.4064 + 134.116i 0.265625 + 0.427120i
\(315\) −49.8803 + 252.199i −0.158350 + 0.800632i
\(316\) −508.647 + 172.711i −1.60964 + 0.546552i
\(317\) −71.7825 + 173.298i −0.226443 + 0.546682i −0.995740 0.0922098i \(-0.970607\pi\)
0.769296 + 0.638892i \(0.220607\pi\)
\(318\) −213.878 + 298.493i −0.672573 + 0.938659i
\(319\) −325.835 −1.02143
\(320\) 114.708 577.447i 0.358464 1.80452i
\(321\) 237.513i 0.739915i
\(322\) 1.15873 + 3.06816i 0.00359855 + 0.00952844i
\(323\) −1.88989 + 4.56261i −0.00585106 + 0.0141257i
\(324\) 382.520 129.884i 1.18062 0.400877i
\(325\) −419.414 1012.55i −1.29050 3.11555i
\(326\) 14.8776 9.25234i 0.0456367 0.0283814i
\(327\) 16.4962 + 16.4962i 0.0504472 + 0.0504472i
\(328\) 82.6634 + 154.605i 0.252023 + 0.471357i
\(329\) −164.708 + 32.9489i −0.500634 + 0.100149i
\(330\) −555.214 129.433i −1.68247 0.392221i
\(331\) 81.8032 + 197.490i 0.247139 + 0.596647i 0.997959 0.0638601i \(-0.0203412\pi\)
−0.750819 + 0.660508i \(0.770341\pi\)
\(332\) 246.232 + 16.1179i 0.741662 + 0.0485478i
\(333\) 121.444 + 50.3039i 0.364698 + 0.151063i
\(334\) −66.2618 401.236i −0.198389 1.20131i
\(335\) 925.088 2.76146
\(336\) −361.847 + 179.009i −1.07693 + 0.532766i
\(337\) 109.916i 0.326161i −0.986613 0.163081i \(-0.947857\pi\)
0.986613 0.163081i \(-0.0521431\pi\)
\(338\) 55.0492 + 333.340i 0.162867 + 0.986212i
\(339\) −200.723 + 484.587i −0.592102 + 1.42946i
\(340\) 16.6139 14.5725i 0.0488644 0.0428603i
\(341\) −172.823 + 71.5858i −0.506814 + 0.209929i
\(342\) −63.9433 14.9066i −0.186969 0.0435866i
\(343\) 284.571 191.490i 0.829652 0.558281i
\(344\) 582.635 57.4595i 1.69371 0.167033i
\(345\) 5.49249 5.49249i 0.0159203 0.0159203i
\(346\) −480.704 + 298.949i −1.38932 + 0.864016i
\(347\) −170.617 + 70.6720i −0.491692 + 0.203666i −0.614732 0.788736i \(-0.710736\pi\)
0.123040 + 0.992402i \(0.460736\pi\)
\(348\) 490.132 + 241.655i 1.40843 + 0.694410i
\(349\) −67.3612 27.9019i −0.193012 0.0799482i 0.284084 0.958799i \(-0.408311\pi\)
−0.477096 + 0.878851i \(0.658311\pi\)
\(350\) 780.848 294.898i 2.23099 0.842567i
\(351\) 331.804 0.945310
\(352\) −113.589 250.554i −0.322695 0.711802i
\(353\) 170.962i 0.484311i 0.970237 + 0.242156i \(0.0778545\pi\)
−0.970237 + 0.242156i \(0.922146\pi\)
\(354\) 143.603 200.416i 0.405659 0.566147i
\(355\) 683.804 + 283.241i 1.92621 + 0.797861i
\(356\) 219.119 444.424i 0.615501 1.24838i
\(357\) −14.8660 2.94022i −0.0416414 0.00823591i
\(358\) 375.476 + 603.757i 1.04882 + 1.68647i
\(359\) 32.2552 32.2552i 0.0898473 0.0898473i −0.660755 0.750602i \(-0.729764\pi\)
0.750602 + 0.660755i \(0.229764\pi\)
\(360\) 227.143 + 186.363i 0.630952 + 0.517674i
\(361\) 207.456 + 207.456i 0.574670 + 0.574670i
\(362\) 205.968 + 48.0158i 0.568973 + 0.132640i
\(363\) 156.829 64.9607i 0.432036 0.178955i
\(364\) −510.236 + 67.7828i −1.40175 + 0.186216i
\(365\) −1039.38 430.524i −2.84761 1.17952i
\(366\) −65.3907 395.961i −0.178663 1.08186i
\(367\) −46.8950 −0.127779 −0.0638897 0.997957i \(-0.520351\pi\)
−0.0638897 + 0.997957i \(0.520351\pi\)
\(368\) 3.71621 + 0.488607i 0.0100984 + 0.00132774i
\(369\) −87.4933 −0.237109
\(370\) −98.6978 597.646i −0.266751 1.61526i
\(371\) −198.418 296.255i −0.534819 0.798531i
\(372\) 313.058 + 20.4922i 0.841554 + 0.0550866i
\(373\) 246.746 + 595.697i 0.661517 + 1.59704i 0.795427 + 0.606050i \(0.207247\pi\)
−0.133910 + 0.990994i \(0.542753\pi\)
\(374\) 2.34447 10.0568i 0.00626864 0.0268899i
\(375\) −811.695 811.695i −2.16452 2.16452i
\(376\) −55.7019 + 183.709i −0.148143 + 0.488587i
\(377\) 492.669 + 492.669i 1.30681 + 1.30681i
\(378\) −7.98245 + 252.569i −0.0211176 + 0.668173i
\(379\) −186.651 + 77.3134i −0.492483 + 0.203993i −0.615082 0.788463i \(-0.710877\pi\)
0.122599 + 0.992456i \(0.460877\pi\)
\(380\) 97.2791 + 286.495i 0.255998 + 0.753934i
\(381\) 242.637 + 100.504i 0.636843 + 0.263789i
\(382\) 233.395 + 167.233i 0.610981 + 0.437783i
\(383\) 596.360i 1.55708i −0.627598 0.778538i \(-0.715962\pi\)
0.627598 0.778538i \(-0.284038\pi\)
\(384\) −14.9588 + 461.134i −0.0389551 + 1.20087i
\(385\) 307.047 460.613i 0.797525 1.19640i
\(386\) −77.1489 55.2792i −0.199868 0.143210i
\(387\) −111.812 + 269.939i −0.288921 + 0.697516i
\(388\) 186.718 63.3999i 0.481232 0.163402i
\(389\) −587.575 + 243.381i −1.51048 + 0.625659i −0.975656 0.219307i \(-0.929620\pi\)
−0.534819 + 0.844966i \(0.679620\pi\)
\(390\) 643.788 + 1035.20i 1.65074 + 2.65435i
\(391\) 0.0994878 + 0.0994878i 0.000254445 + 0.000254445i
\(392\) −39.3212 390.023i −0.100309 0.994956i
\(393\) −30.4331 30.4331i −0.0774379 0.0774379i
\(394\) −279.327 65.1174i −0.708952 0.165273i
\(395\) −1141.31 + 472.745i −2.88939 + 1.19682i
\(396\) 136.998 + 8.96761i 0.345954 + 0.0226455i
\(397\) −192.788 + 465.432i −0.485613 + 1.17237i 0.471293 + 0.881977i \(0.343787\pi\)
−0.956906 + 0.290397i \(0.906213\pi\)
\(398\) 90.3723 + 547.232i 0.227066 + 1.37496i
\(399\) 115.077 172.632i 0.288415 0.432661i
\(400\) 124.351 945.779i 0.310877 2.36445i
\(401\) 431.454i 1.07594i 0.842963 + 0.537972i \(0.180809\pi\)
−0.842963 + 0.537972i \(0.819191\pi\)
\(402\) −715.286 + 118.125i −1.77932 + 0.293844i
\(403\) 369.551 + 153.073i 0.917000 + 0.379834i
\(404\) 275.094 241.292i 0.680926 0.597258i
\(405\) 858.302 355.521i 2.11927 0.877828i
\(406\) −386.873 + 363.168i −0.952888 + 0.894502i
\(407\) −200.145 200.145i −0.491757 0.491757i
\(408\) −10.9852 + 13.3890i −0.0269246 + 0.0328162i
\(409\) −455.408 455.408i −1.11347 1.11347i −0.992678 0.120788i \(-0.961458\pi\)
−0.120788 0.992678i \(1.46146\pi\)
\(410\) 212.921 + 342.373i 0.519320 + 0.835055i
\(411\) −263.536 636.233i −0.641208 1.54801i
\(412\) −88.5697 + 179.640i −0.214975 + 0.436019i
\(413\) 133.223 + 198.913i 0.322573 + 0.481630i
\(414\) −1.08950 + 1.52053i −0.00263164 + 0.00367278i
\(415\) 567.478 1.36742
\(416\) −207.094 + 550.590i −0.497822 + 1.32353i
\(417\) 139.601 0.334775
\(418\) 114.923 + 82.3453i 0.274935 + 0.196998i
\(419\) −632.834 262.128i −1.51034 0.625604i −0.534714 0.845033i \(-0.679581\pi\)
−0.975629 + 0.219429i \(0.929581\pi\)
\(420\) −803.482 + 465.148i −1.91305 + 1.10750i
\(421\) −429.728 + 177.999i −1.02073 + 0.422801i −0.829359 0.558717i \(-0.811294\pi\)
−0.191373 + 0.981517i \(0.561294\pi\)
\(422\) 91.9096 + 147.789i 0.217795 + 0.350210i
\(423\) −67.7430 67.7430i −0.160149 0.160149i
\(424\) −405.532 + 39.9936i −0.956444 + 0.0943245i
\(425\) 25.3197 25.3197i 0.0595758 0.0595758i
\(426\) −564.890 131.689i −1.32603 0.309128i
\(427\) 382.283 + 75.6085i 0.895276 + 0.177069i
\(428\) 198.150 173.803i 0.462967 0.406081i
\(429\) 526.275 + 217.990i 1.22675 + 0.508136i
\(430\) 1328.41 219.379i 3.08932 0.510184i
\(431\) 216.244i 0.501727i 0.968022 + 0.250864i \(0.0807146\pi\)
−0.968022 + 0.250864i \(0.919285\pi\)
\(432\) 250.128 + 144.355i 0.579000 + 0.334155i
\(433\) −399.055 −0.921606 −0.460803 0.887502i \(-0.652439\pi\)
−0.460803 + 0.887502i \(0.652439\pi\)
\(434\) −125.410 + 277.620i −0.288963 + 0.639678i
\(435\) 1161.06 + 480.928i 2.66911 + 1.10558i
\(436\) −1.69102 + 25.8337i −0.00387849 + 0.0592515i
\(437\) −1.77964 + 0.737152i −0.00407241 + 0.00168685i
\(438\) 858.629 + 200.166i 1.96034 + 0.457000i
\(439\) −315.640 + 315.640i −0.718997 + 0.718997i −0.968400 0.249402i \(-0.919766\pi\)
0.249402 + 0.968400i \(0.419766\pi\)
\(440\) −298.302 557.913i −0.677959 1.26798i
\(441\) 180.902 + 74.4713i 0.410209 + 0.168869i
\(442\) −18.7510 + 11.6612i −0.0424230 + 0.0263828i
\(443\) 81.7932 33.8799i 0.184635 0.0764782i −0.288451 0.957495i \(-0.593140\pi\)
0.473086 + 0.881016i \(0.343140\pi\)
\(444\) 152.628 + 449.502i 0.343757 + 1.01239i
\(445\) 436.078 1052.78i 0.979950 2.36581i
\(446\) 105.727 147.556i 0.237057 0.330842i
\(447\) 290.413i 0.649693i
\(448\) −414.128 170.886i −0.924393 0.381443i
\(449\) −54.9072 −0.122288 −0.0611439 0.998129i \(-0.519475\pi\)
−0.0611439 + 0.998129i \(0.519475\pi\)
\(450\) 386.977 + 277.279i 0.859948 + 0.616175i
\(451\) 174.056 + 72.0963i 0.385933 + 0.159859i
\(452\) −551.158 + 187.145i −1.21938 + 0.414038i
\(453\) −144.185 348.094i −0.318289 0.768419i
\(454\) 11.6372 + 18.7124i 0.0256326 + 0.0412167i
\(455\) −1160.72 + 232.194i −2.55102 + 0.510316i
\(456\) −111.800 209.099i −0.245175 0.458550i
\(457\) −276.527 276.527i −0.605092 0.605092i 0.336567 0.941659i \(-0.390734\pi\)
−0.941659 + 0.336567i \(0.890734\pi\)
\(458\) 159.582 684.542i 0.348433 1.49463i
\(459\) 4.14850 + 10.0154i 0.00903814 + 0.0218200i
\(460\) 8.60142 + 0.563033i 0.0186987 + 0.00122399i
\(461\) 20.6181 49.7765i 0.0447247 0.107975i −0.899938 0.436017i \(-0.856389\pi\)
0.944663 + 0.328042i \(0.106389\pi\)
\(462\) −178.595 + 395.357i −0.386570 + 0.855751i
\(463\) 157.168i 0.339457i 0.985491 + 0.169728i \(0.0542890\pi\)
−0.985491 + 0.169728i \(0.945711\pi\)
\(464\) 157.054 + 585.737i 0.338479 + 1.26236i
\(465\) 721.489 1.55159
\(466\) −43.9723 266.266i −0.0943612 0.571386i
\(467\) −17.0494 + 41.1609i −0.0365084 + 0.0881390i −0.941082 0.338178i \(-0.890189\pi\)
0.904574 + 0.426317i \(0.140189\pi\)
\(468\) −193.584 220.702i −0.413640 0.471585i
\(469\) 136.584 690.578i 0.291223 1.47245i
\(470\) −100.230 + 429.945i −0.213255 + 0.914776i
\(471\) −201.271 201.271i −0.427326 0.427326i
\(472\) 272.285 26.8527i 0.576874 0.0568914i
\(473\) 444.870 444.870i 0.940529 0.940529i
\(474\) 822.104 511.265i 1.73440 1.07862i
\(475\) 187.606 + 452.920i 0.394959 + 0.953517i
\(476\) −8.42542 14.5538i −0.0177005 0.0305752i
\(477\) 77.8249 187.886i 0.163155 0.393891i
\(478\) 241.636 337.233i 0.505515 0.705508i
\(479\) 321.091i 0.670335i 0.942159 + 0.335168i \(0.108793\pi\)
−0.942159 + 0.335168i \(0.891207\pi\)
\(480\) 34.9414 + 1060.47i 0.0727947 + 2.20930i
\(481\) 605.246i 1.25831i
\(482\) −92.1979 66.0622i −0.191282 0.137058i
\(483\) −3.28921 4.91107i −0.00680996 0.0101679i
\(484\) 168.956 + 83.3022i 0.349083 + 0.172112i
\(485\) 418.960 173.539i 0.863835 0.357812i
\(486\) −342.357 + 212.911i −0.704437 + 0.438089i
\(487\) 489.909 489.909i 1.00597 1.00597i 0.00599134 0.999982i \(-0.498093\pi\)
0.999982 0.00599134i \(-0.00190711\pi\)
\(488\) 282.488 344.302i 0.578869 0.705537i
\(489\) −22.3271 + 22.3271i −0.0456588 + 0.0456588i
\(490\) −148.822 889.124i −0.303718 1.81454i
\(491\) 38.3810 + 92.6598i 0.0781690 + 0.188717i 0.958133 0.286324i \(-0.0924334\pi\)
−0.879964 + 0.475041i \(0.842433\pi\)
\(492\) −208.350 237.537i −0.423476 0.482800i
\(493\) −8.71125 + 21.0308i −0.0176699 + 0.0426589i
\(494\) −49.2581 298.273i −0.0997128 0.603792i
\(495\) 315.731 0.637841
\(496\) 211.988 + 276.171i 0.427395 + 0.556796i
\(497\) 312.398 468.640i 0.628568 0.942938i
\(498\) −438.779 + 72.4618i −0.881081 + 0.145506i
\(499\) 367.185 + 152.093i 0.735842 + 0.304796i 0.718950 0.695062i \(-0.244623\pi\)
0.0168916 + 0.999857i \(0.494623\pi\)
\(500\) 83.2065 1271.14i 0.166413 2.54228i
\(501\) 280.478 + 677.133i 0.559836 + 1.35156i
\(502\) 146.610 628.899i 0.292053 1.25279i
\(503\) −201.492 + 201.492i −0.400581 + 0.400581i −0.878438 0.477857i \(-0.841414\pi\)
0.477857 + 0.878438i \(0.341414\pi\)
\(504\) 172.656 142.047i 0.342571 0.281838i
\(505\) 595.044 595.044i 1.17831 1.17831i
\(506\) 3.42036 2.12712i 0.00675961 0.00420379i
\(507\) −233.016 562.550i −0.459597 1.10957i
\(508\) 93.7052 + 275.970i 0.184459 + 0.543248i
\(509\) 419.803 + 173.888i 0.824761 + 0.341627i 0.754827 0.655924i \(-0.227721\pi\)
0.0699344 + 0.997552i \(0.477721\pi\)
\(510\) −23.1979 + 32.3755i −0.0454860 + 0.0634814i
\(511\) −474.844 + 712.330i −0.929244 + 1.39399i
\(512\) −395.657 + 324.961i −0.772768 + 0.634689i
\(513\) −148.417 −0.289313
\(514\) 439.956 614.013i 0.855946 1.19458i
\(515\) −176.267 + 425.545i −0.342265 + 0.826301i
\(516\) −999.125 + 339.252i −1.93629 + 0.657465i
\(517\) 78.9437 + 190.587i 0.152696 + 0.368640i
\(518\) −460.714 14.5609i −0.889410 0.0281098i
\(519\) 721.405 721.405i 1.38999 1.38999i
\(520\) −392.536 + 1294.61i −0.754877 + 2.48964i
\(521\) −130.307 + 130.307i −0.250110 + 0.250110i −0.821016 0.570905i \(-0.806592\pi\)
0.570905 + 0.821016i \(0.306592\pi\)
\(522\) −294.739 68.7104i −0.564635 0.131629i
\(523\) 318.531 131.940i 0.609045 0.252275i −0.0567751 0.998387i \(-0.518082\pi\)
0.665820 + 0.746112i \(0.268082\pi\)
\(524\) 3.11969 47.6592i 0.00595360 0.0909527i
\(525\) −1249.87 + 837.106i −2.38071 + 1.59449i
\(526\) −578.788 + 95.5836i −1.10036 + 0.181718i
\(527\) 13.0686i 0.0247981i
\(528\) 301.890 + 393.293i 0.571762 + 0.744872i
\(529\) 528.945i 0.999896i
\(530\) −924.614 + 152.695i −1.74456 + 0.288103i
\(531\) −52.2536 + 126.151i −0.0984060 + 0.237573i
\(532\) 228.231 30.3196i 0.429006 0.0569916i
\(533\) −154.165 372.186i −0.289239 0.698286i
\(534\) −202.748 + 869.706i −0.379678 + 1.62866i
\(535\) 428.610 428.610i 0.801140 0.801140i
\(536\) −621.967 510.303i −1.16039 0.952058i
\(537\) −906.074 906.074i −1.68729 1.68729i
\(538\) −584.440 + 363.462i −1.08632 + 0.675580i
\(539\) −298.514 297.217i −0.553828 0.551423i
\(540\) 595.682 + 293.695i 1.10312 + 0.543880i
\(541\) −169.485 + 409.173i −0.313281 + 0.756326i 0.686299 + 0.727320i \(0.259234\pi\)
−0.999579 + 0.0290065i \(0.990766\pi\)
\(542\) −103.743 74.3347i −0.191408 0.137149i
\(543\) −381.160 −0.701952
\(544\) −19.2086 + 0.632909i −0.0353100 + 0.00116344i
\(545\) 59.5375i 0.109243i
\(546\) 867.826 327.747i 1.58942 0.600269i
\(547\) 406.962 982.494i 0.743989 1.79615i 0.155165 0.987889i \(-0.450409\pi\)
0.588825 0.808261i \(-0.299591\pi\)
\(548\) 337.945 685.431i 0.616688 1.25079i
\(549\) 85.0551 + 205.341i 0.154927 + 0.374028i
\(550\) −541.353 870.484i −0.984278 1.58270i
\(551\) −220.373 220.373i −0.399951 0.399951i
\(552\) −6.72259 + 0.662982i −0.0121786 + 0.00120105i
\(553\) 184.397 + 921.783i 0.333448 + 1.66688i
\(554\) −43.7512 + 187.675i −0.0789733 + 0.338763i
\(555\) 417.775 + 1008.60i 0.752747 + 1.81729i
\(556\) 102.155 + 116.465i 0.183731 + 0.209470i
\(557\) 113.038 + 46.8219i 0.202941 + 0.0840608i 0.481839 0.876260i \(-0.339969\pi\)
−0.278898 + 0.960321i \(0.589969\pi\)
\(558\) −171.426 + 28.3100i −0.307215 + 0.0507347i
\(559\) −1345.30 −2.40662
\(560\) −976.017 329.944i −1.74289 0.589187i
\(561\) 18.6109i 0.0331746i
\(562\) 173.236 28.6090i 0.308249 0.0509056i
\(563\) 287.734 694.652i 0.511073 1.23384i −0.432187 0.901784i \(-0.642258\pi\)
0.943260 0.332055i \(-0.107742\pi\)
\(564\) 22.5985 345.236i 0.0400682 0.612120i
\(565\) −1236.69 + 512.256i −2.18884 + 0.906647i
\(566\) 24.5590 105.348i 0.0433904 0.186127i
\(567\) −138.673 693.213i −0.244573 1.22260i
\(568\) −303.501 567.636i −0.534332 0.999359i
\(569\) −86.2238 + 86.2238i −0.151536 + 0.151536i −0.778804 0.627268i \(-0.784173\pi\)
0.627268 + 0.778804i \(0.284173\pi\)
\(570\) −287.970 463.049i −0.505210 0.812367i
\(571\) −600.948 + 248.921i −1.05245 + 0.435938i −0.840765 0.541400i \(-0.817894\pi\)
−0.211683 + 0.977338i \(0.567894\pi\)
\(572\) 203.245 + 598.573i 0.355323 + 1.04646i
\(573\) −478.080 198.027i −0.834345 0.345597i
\(574\) 287.017 108.396i 0.500030 0.188844i
\(575\) 13.9667 0.0242899
\(576\) −49.9129 250.596i −0.0866544 0.435062i
\(577\) 238.615i 0.413544i 0.978389 + 0.206772i \(0.0662958\pi\)
−0.978389 + 0.206772i \(0.933704\pi\)
\(578\) 469.253 + 336.232i 0.811857 + 0.581716i
\(579\) 158.030 + 65.4581i 0.272936 + 0.113054i
\(580\) 448.397 + 1320.57i 0.773098 + 2.27684i
\(581\) 83.7845 423.622i 0.144207 0.729125i
\(582\) −301.784 + 187.679i −0.518529 + 0.322473i
\(583\) −309.644 + 309.644i −0.531121 + 0.531121i
\(584\) 461.319 + 862.803i 0.789930 + 1.47740i
\(585\) −477.391 477.391i −0.816054 0.816054i
\(586\) 129.502 555.509i 0.220993 0.947968i
\(587\) 851.002 352.497i 1.44975 0.600505i 0.487608 0.873063i \(-0.337869\pi\)
0.962140 + 0.272557i \(0.0878694\pi\)
\(588\) 228.604 + 668.475i 0.388782 + 1.13686i
\(589\) −165.302 68.4703i −0.280649 0.116248i
\(590\) 620.810 102.523i 1.05222 0.173768i
\(591\) 516.916 0.874647
\(592\) −263.319 + 456.261i −0.444796 + 0.770712i
\(593\) −910.721 −1.53579 −0.767893 0.640578i \(-0.778695\pi\)
−0.767893 + 0.640578i \(0.778695\pi\)
\(594\) 306.194 50.5662i 0.515478 0.0851282i
\(595\) −21.5210 32.1327i −0.0361697 0.0540045i
\(596\) −242.283 + 212.513i −0.406515 + 0.356565i
\(597\) −382.534 923.519i −0.640760 1.54693i
\(598\) −8.38789 1.95540i −0.0140266 0.00326991i
\(599\) 434.404 + 434.404i 0.725216 + 0.725216i 0.969663 0.244447i \(-0.0786063\pi\)
−0.244447 + 0.969663i \(0.578606\pi\)
\(600\) 168.729 + 1710.90i 0.281215 + 2.85150i
\(601\) −276.866 276.866i −0.460676 0.460676i 0.438201 0.898877i \(-0.355616\pi\)
−0.898877 + 0.438201i \(0.855616\pi\)
\(602\) 32.3650 1024.05i 0.0537624 1.70107i
\(603\) 370.940 153.648i 0.615158 0.254807i
\(604\) 184.895 375.011i 0.306118 0.620879i
\(605\) 400.237 + 165.783i 0.661548 + 0.274022i
\(606\) −384.112 + 536.075i −0.633848 + 0.884613i
\(607\) 84.9308i 0.139919i 0.997550 + 0.0699595i \(0.0222870\pi\)
−0.997550 + 0.0699595i \(0.977713\pi\)
\(608\) 92.6342 246.282i 0.152359 0.405069i
\(609\) 530.436 795.727i 0.870995 1.30661i
\(610\) 596.539 832.544i 0.977933 1.36483i
\(611\) 168.807 407.535i 0.276279 0.666997i
\(612\) 4.24146 8.60267i 0.00693049 0.0140566i
\(613\) 624.877 258.833i 1.01938 0.422239i 0.190509 0.981685i \(-0.438986\pi\)
0.828867 + 0.559446i \(0.188986\pi\)
\(614\) 139.115 86.5152i 0.226571 0.140904i
\(615\) −513.807 513.807i −0.835459 0.835459i
\(616\) −460.524 + 140.310i −0.747604 + 0.227776i
\(617\) −128.005 128.005i −0.207463 0.207463i 0.595725 0.803188i \(-0.296865\pi\)
−0.803188 + 0.595725i \(0.796865\pi\)
\(618\) 81.9526 351.543i 0.132609 0.568840i
\(619\) 148.573 61.5409i 0.240021 0.0994198i −0.259431 0.965762i \(-0.583535\pi\)
0.499451 + 0.866342i \(0.333535\pi\)
\(620\) 527.958 + 601.917i 0.851544 + 0.970834i
\(621\) −1.61812 + 3.90649i −0.00260567 + 0.00629065i
\(622\) 397.618 65.6643i 0.639257 0.105570i
\(623\) −721.519 480.969i −1.15814 0.772021i
\(624\) 138.202 1051.13i 0.221478 1.68450i
\(625\) 1439.03i 2.30246i
\(626\) 141.193 + 854.967i 0.225548 + 1.36576i
\(627\) −235.405 97.5081i −0.375447 0.155515i
\(628\) 20.6322 315.196i 0.0328538 0.501905i
\(629\) −18.2691 + 7.56733i −0.0290447 + 0.0120307i
\(630\) 374.876 351.906i 0.595041 0.558581i
\(631\) 443.944 + 443.944i 0.703556 + 0.703556i 0.965172 0.261616i \(-0.0842555\pi\)
−0.261616 + 0.965172i \(0.584256\pi\)
\(632\) 1028.12 + 311.733i 1.62677 + 0.493248i
\(633\) −221.790 221.790i −0.350380 0.350380i
\(634\) 318.573 198.120i 0.502481 0.312492i
\(635\) 256.491 + 619.224i 0.403923 + 0.975156i
\(636\) 695.422 236.130i 1.09343 0.371273i
\(637\) 1.96006 + 900.755i 0.00307701 + 1.41406i
\(638\) 529.725 + 379.561i 0.830289 + 0.594923i
\(639\) 321.234 0.502713
\(640\) −859.147 + 805.158i −1.34242 + 1.25806i
\(641\) −787.650 −1.22878 −0.614392 0.789001i \(-0.710599\pi\)
−0.614392 + 0.789001i \(0.710599\pi\)
\(642\) −276.675 + 386.135i −0.430958 + 0.601456i
\(643\) −59.6133 24.6926i −0.0927112 0.0384022i 0.335846 0.941917i \(-0.390978\pi\)
−0.428557 + 0.903515i \(0.640978\pi\)
\(644\) 1.69025 6.33783i 0.00262461 0.00984135i
\(645\) −2241.85 + 928.603i −3.47573 + 1.43969i
\(646\) 8.38740 5.21611i 0.0129836 0.00807448i
\(647\) 706.429 + 706.429i 1.09185 + 1.09185i 0.995331 + 0.0965221i \(0.0307719\pi\)
0.0965221 + 0.995331i \(0.469228\pi\)
\(648\) −773.180 234.434i −1.19318 0.361781i
\(649\) 207.903 207.903i 0.320343 0.320343i
\(650\) −497.652 + 2134.72i −0.765618 + 3.28419i
\(651\) 106.523 538.591i 0.163630 0.827328i
\(652\) −34.9650 2.28875i −0.0536273 0.00351035i
\(653\) 499.794 + 207.021i 0.765381 + 0.317031i 0.731000 0.682378i \(-0.239054\pi\)
0.0343812 + 0.999409i \(0.489054\pi\)
\(654\) −7.60240 46.0349i −0.0116245 0.0703898i
\(655\) 109.838i 0.167691i
\(656\) 45.7078 347.641i 0.0696765 0.529941i
\(657\) −488.273 −0.743186
\(658\) 306.155 + 138.300i 0.465282 + 0.210183i
\(659\) −728.820 301.887i −1.10595 0.458099i −0.246408 0.969166i \(-0.579250\pi\)
−0.859541 + 0.511067i \(0.829250\pi\)
\(660\) 751.861 + 857.186i 1.13918 + 1.29877i
\(661\) −735.470 + 304.642i −1.11266 + 0.460880i −0.861854 0.507156i \(-0.830697\pi\)
−0.250809 + 0.968037i \(0.580697\pi\)
\(662\) 97.0628 416.360i 0.146621 0.628942i
\(663\) 28.1401 28.1401i 0.0424435 0.0424435i
\(664\) −381.534 313.035i −0.574599 0.471439i
\(665\) 519.193 103.861i 0.780742 0.156183i
\(666\) −138.839 223.250i −0.208467 0.335210i
\(667\) −8.20306 + 3.39782i −0.0122984 + 0.00509418i
\(668\) −359.670 + 729.494i −0.538428 + 1.09206i
\(669\) −125.196 + 302.249i −0.187139 + 0.451792i
\(670\) −1503.96 1077.62i −2.24471 1.60839i
\(671\) 478.585i 0.713241i
\(672\) 796.796 + 130.487i 1.18571 + 0.194178i
\(673\) 445.768 0.662360 0.331180 0.943568i \(-0.392553\pi\)
0.331180 + 0.943568i \(0.392553\pi\)
\(674\) −128.040 + 178.696i −0.189970 + 0.265127i
\(675\) 994.205 + 411.813i 1.47290 + 0.610094i
\(676\) 298.807 606.051i 0.442023 0.896525i
\(677\) 321.056 + 775.097i 0.474233 + 1.14490i 0.962275 + 0.272079i \(0.0877113\pi\)
−0.488042 + 0.872820i \(0.662289\pi\)
\(678\) 890.812 553.995i 1.31388 0.817102i
\(679\) −67.6898 338.375i −0.0996905 0.498344i
\(680\) −43.9852 + 4.33783i −0.0646842 + 0.00637916i
\(681\) −28.0822 28.0822i −0.0412367 0.0412367i
\(682\) 364.356 + 84.9396i 0.534246 + 0.124545i
\(683\) −173.159 418.044i −0.253528 0.612070i 0.744956 0.667113i \(-0.232470\pi\)
−0.998484 + 0.0550432i \(0.982470\pi\)
\(684\) 86.5909 + 98.7211i 0.126595 + 0.144329i
\(685\) 672.560 1623.70i 0.981839 2.37037i
\(686\) −685.703 20.1781i −0.999567 0.0294142i
\(687\) 1266.80i 1.84396i
\(688\) −1014.15 585.289i −1.47405 0.850711i
\(689\) 936.373 1.35903
\(690\) −15.3275 + 2.53125i −0.0222138 + 0.00366848i
\(691\) 389.334 939.935i 0.563435 1.36025i −0.343568 0.939128i \(-0.611635\pi\)
0.907003 0.421125i \(-0.138365\pi\)
\(692\) 1129.74 + 73.9510i 1.63258 + 0.106866i
\(693\) 46.6158 235.693i 0.0672666 0.340106i
\(694\) 359.705 + 83.8552i 0.518306 + 0.120829i
\(695\) 251.921 + 251.921i 0.362476 + 0.362476i
\(696\) −515.329 963.817i −0.740415 1.38479i
\(697\) 9.30681 9.30681i 0.0133527 0.0133527i
\(698\) 77.0095 + 123.830i 0.110329 + 0.177406i
\(699\) 186.129 + 449.355i 0.266279 + 0.642854i
\(700\) −1612.98 430.170i −2.30426 0.614528i
\(701\) 4.96625 11.9896i 0.00708453 0.0171036i −0.920298 0.391219i \(-0.872054\pi\)
0.927382 + 0.374115i \(0.122054\pi\)
\(702\) −539.427 386.514i −0.768415 0.550589i
\(703\) 270.730i 0.385106i
\(704\) −107.201 + 539.655i −0.152274 + 0.766555i
\(705\) 795.647i 1.12858i
\(706\) 199.151 277.940i 0.282084 0.393683i
\(707\) −356.346 532.055i −0.504025 0.752553i
\(708\) −466.924 + 158.544i −0.659497 + 0.223932i
\(709\) 840.487 348.141i 1.18545 0.491031i 0.299182 0.954196i \(-0.403286\pi\)
0.886272 + 0.463165i \(0.153286\pi\)
\(710\) −781.746 1257.03i −1.10105 1.77046i
\(711\) −379.121 + 379.121i −0.533222 + 0.533222i
\(712\) −873.933 + 467.270i −1.22743 + 0.656278i
\(713\) −3.60442 + 3.60442i −0.00505528 + 0.00505528i
\(714\) 20.7433 + 22.0972i 0.0290522 + 0.0309485i
\(715\) 556.324 + 1343.08i 0.778075 + 1.87844i
\(716\) 92.8813 1418.94i 0.129722 1.98176i
\(717\) −286.130 + 690.779i −0.399066 + 0.963430i
\(718\) −90.0122 + 14.8650i −0.125365 + 0.0207033i
\(719\) 390.144 0.542621 0.271310 0.962492i \(-0.412543\pi\)
0.271310 + 0.962492i \(0.412543\pi\)
\(720\) −152.184 567.573i −0.211367 0.788296i
\(721\) 291.645 + 194.412i 0.404500 + 0.269642i
\(722\) −95.6074 578.932i −0.132420 0.801846i
\(723\) 188.856 + 78.2267i 0.261212 + 0.108197i
\(724\) −278.918 317.991i −0.385246 0.439214i
\(725\) 864.747 + 2087.68i 1.19275 + 2.87957i
\(726\) −330.636 77.0786i −0.455421 0.106169i
\(727\) −666.612 + 666.612i −0.916935 + 0.916935i −0.996805 0.0798700i \(-0.974549\pi\)
0.0798700 + 0.996805i \(0.474549\pi\)
\(728\) 908.471 + 484.169i 1.24790 + 0.665068i
\(729\) −128.929 + 128.929i −0.176857 + 0.176857i
\(730\) 1188.25 + 1910.68i 1.62774 + 2.61737i
\(731\) −16.8202 40.6075i −0.0230098 0.0555506i
\(732\) −354.941 + 719.903i −0.484892 + 0.983474i
\(733\) −97.2943 40.3006i −0.132734 0.0549804i 0.315328 0.948983i \(-0.397886\pi\)
−0.448062 + 0.894003i \(0.647886\pi\)
\(734\) 76.2392 + 54.6274i 0.103868 + 0.0744242i
\(735\) 625.018 + 1499.69i 0.850364 + 2.04039i
\(736\) −5.47244 5.12332i −0.00743538 0.00696103i
\(737\) −864.543 −1.17306
\(738\) 142.242 + 101.920i 0.192739 + 0.138103i
\(739\) −469.261 + 1132.90i −0.634994 + 1.53301i 0.198277 + 0.980146i \(0.436466\pi\)
−0.833271 + 0.552865i \(0.813534\pi\)
\(740\) −535.732 + 1086.59i −0.723962 + 1.46836i
\(741\) 208.503 + 503.371i 0.281381 + 0.679313i
\(742\) −22.5270 + 712.768i −0.0303599 + 0.960604i
\(743\) −197.460 + 197.460i −0.265761 + 0.265761i −0.827389 0.561629i \(-0.810175\pi\)
0.561629 + 0.827389i \(0.310175\pi\)
\(744\) −485.081 397.992i −0.651990 0.534936i
\(745\) −524.072 + 524.072i −0.703452 + 0.703452i
\(746\) 292.774 1255.88i 0.392459 1.68349i
\(747\) 227.546 94.2527i 0.304613 0.126175i
\(748\) −15.5266 + 13.6188i −0.0207574 + 0.0182069i
\(749\) −256.675 383.239i −0.342691 0.511667i
\(750\) 374.075 + 2265.14i 0.498767 + 3.02019i
\(751\) 689.465i 0.918063i −0.888420 0.459032i \(-0.848196\pi\)
0.888420 0.459032i \(-0.151804\pi\)
\(752\) 304.557 233.777i 0.404996 0.310873i
\(753\) 1163.83i 1.54559i
\(754\) −227.050 1374.86i −0.301127 1.82342i
\(755\) 367.969 888.355i 0.487376 1.17663i
\(756\) 307.192 401.314i 0.406339 0.530839i
\(757\) −494.553