Properties

Label 224.3.v.b.13.11
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 13.11
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.62574 - 1.16489i) q^{2} +(-3.33013 - 1.37939i) q^{3} +(1.28608 + 3.78761i) q^{4} +(-3.52027 - 8.49868i) q^{5} +(3.80711 + 6.12175i) q^{6} +(1.37310 - 6.86401i) q^{7} +(2.32130 - 7.65582i) q^{8} +(2.82310 + 2.82310i) q^{9} +O(q^{10})\) \(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} +(1.37310 - 6.86401i) 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} +(-10.2281 + 9.55960i) 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} +(-14.0407 + 20.9640i) 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} +(27.7641 - 3.62689i) 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} +(-63.1687 + 12.4936i) 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} +(47.2473 - 17.7262i) 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} +(-49.3622 - 26.4456i) 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} +(117.250 + 53.2730i) 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} +(-59.0345 + 11.6759i) 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} +(-97.4610 - 26.2194i) 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} +(-106.915 - 71.6069i) 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} +(51.5730 + 83.3320i) 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 −0.249091 0.968480i \(-0.580132\pi\)
−0.860953 + 0.508685i \(0.830132\pi\)
\(4\) 1.28608 + 3.78761i 0.321520 + 0.946903i
\(5\) −3.52027 8.49868i −0.704054 1.69974i −0.714349 0.699789i \(-0.753277\pi\)
0.0102952 0.999947i \(1.50328\pi\)
\(6\) 3.80711 + 6.12175i 0.634518 + 1.02029i
\(7\) 1.37310 6.86401i 0.196157 0.980572i
\(8\) 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 \(-0.625034\pi\)
0.923921 0.382584i \(-0.124966\pi\)
\(14\) −10.2281 + 9.55960i −0.730578 + 0.682829i
\(15\) 33.1575i 2.21050i
\(16\) −12.6920 + 9.74234i −0.793250 + 0.608896i
\(17\) 0.600596 0.0353292 0.0176646 0.999844i \(-0.494377\pi\)
0.0176646 + 0.999844i \(0.494377\pi\)
\(18\) −1.30104 7.87823i −0.0722803 0.437680i
\(19\) −3.14670 + 7.59680i −0.165616 + 0.399832i −0.984798 0.173701i \(-0.944427\pi\)
0.819183 + 0.573533i \(0.194427\pi\)
\(20\) 27.6624 24.2634i 1.38312 1.21317i
\(21\) −14.0407 + 20.9640i −0.668605 + 0.998286i
\(22\) −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
\(28\) 27.7641 3.62689i 0.991575 0.129532i
\(29\) 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 \(0.114144\pi\)
−0.936391 + 0.350958i \(0.885856\pi\)
\(32\) 31.9826 1.05380i 0.999458 0.0329313i
\(33\) 30.9874i 0.939014i
\(34\) −0.976415 0.699626i −0.0287181 0.0205772i
\(35\) −63.1687 + 12.4936i −1.80482 + 0.356960i
\(36\) −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 −0.492412 0.870362i \(-0.663885\pi\)
0.870362 + 0.492412i \(0.163885\pi\)
\(42\) 47.2473 17.7262i 1.12493 0.422053i
\(43\) 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 \(-0.417834\pi\)
0.255276 + 0.966868i \(0.417834\pi\)
\(48\) 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
\(56\) −49.3622 26.4456i −0.881468 0.472244i
\(57\) 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 0.773307 0.634031i \(-0.218601\pi\)
−0.995139 + 0.0984832i \(0.968601\pi\)
\(60\) −125.588 + 42.6432i −2.09313 + 0.710720i
\(61\) −51.4321 21.3039i −0.843150 0.349244i −0.0810550 0.996710i \(-0.525829\pi\)
−0.762095 + 0.647466i \(0.775829\pi\)
\(62\) 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
\(70\) 117.250 + 53.2730i 1.67500 + 0.761042i
\(71\) 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 \(-0.433922\pi\)
0.978531 0.206102i \(-0.0660779\pi\)
\(74\) −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
\(77\) −59.0345 + 11.6759i −0.766681 + 0.151635i
\(78\) 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 −0.999929 0.0119406i \(-0.996199\pi\)
0.715500 + 0.698613i \(0.246199\pi\)
\(84\) −97.4610 26.2194i −1.16025 0.312136i
\(85\) −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 0.999877 0.0156778i \(-0.00499059\pi\)
−0.0156778 + 0.999877i \(0.504991\pi\)
\(90\) −62.3746 + 38.7907i −0.693051 + 0.431007i
\(91\) −106.915 71.6069i −1.17489 0.786889i
\(92\) 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 \(0.0817820\pi\)
−0.967176 + 0.254109i \(0.918218\pi\)
\(98\) 51.5730 + 83.3320i 0.526255 + 0.850327i
\(99\) 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 \(0.0246010\pi\)
−0.650401 + 0.759591i \(0.725399\pi\)
\(102\) 2.28653 + 3.67670i 0.0224170 + 0.0360461i
\(103\) −35.4062 35.4062i −0.343749 0.343749i 0.514026 0.857775i \(-0.328154\pi\)
−0.857775 + 0.514026i \(0.828154\pi\)
\(104\) −113.693 93.2809i −1.09320 0.896932i
\(105\) 227.593 + 45.5286i 2.16756 + 0.433606i
\(106\) −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
\(112\) 49.4441 + 100.495i 0.441465 + 0.897278i
\(113\) 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
\(119\) 0.824679 4.12250i 0.00693008 0.0346428i
\(120\) 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
\(126\) −55.8627 1.88723i −0.443355 0.0149780i
\(127\) 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 0.424390 0.905479i \(-0.360488\pi\)
−0.340181 + 0.940360i \(0.610488\pi\)
\(132\) −117.368 + 39.8523i −0.889155 + 0.301912i
\(133\) 47.8237 + 32.0301i 0.359577 + 0.240828i
\(134\) −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 −0.507662 0.861556i \(-0.669490\pi\)
0.250241 + 0.968184i \(0.419490\pi\)
\(140\) −128.561 223.191i −0.918292 1.59422i
\(141\) −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
\(147\) 124.618 + 125.161i 0.847740 + 0.851437i
\(148\) 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
\(154\) 109.576 + 49.7864i 0.711532 + 0.323288i
\(155\) 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 0.602730 0.797945i \(-0.294080\pi\)
−0.138038 + 0.990427i \(0.544080\pi\)
\(158\) 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 0.130493 0.991449i \(-0.458344\pi\)
−0.991449 + 0.130493i \(0.958344\pi\)
\(168\) 127.904 + 156.157i 0.761332 + 0.929506i
\(169\) −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 \(0.429937\pi\)
−0.844434 + 0.535659i \(0.820063\pi\)
\(174\) 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 −0.0961136 0.995370i \(-0.530641\pi\)
0.635871 + 0.771796i \(0.280641\pi\)
\(182\) 90.4029 + 240.959i 0.496719 + 1.32395i
\(183\) 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
\(189\) 123.947 24.5144i 0.655803 0.129706i
\(190\) −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
\(196\) 13.2280 195.553i 0.0674896 0.997720i
\(197\) 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 0.999895 0.0144863i \(-0.00461129\pi\)
−0.0144863 + 0.999895i \(0.504611\pi\)
\(200\) 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
\(203\) −220.438 147.639i −1.08590 0.727287i
\(204\) 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
\(210\) −316.973 339.138i −1.50939 1.61494i
\(211\) −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
\(217\) 149.357 + 29.8779i 0.688280 + 0.137686i
\(218\) −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 \(-0.934768\pi\)
0.979074 0.203502i \(-0.0652324\pi\)
\(224\) 36.6821 220.976i 0.163759 0.986500i
\(225\) −238.031 −1.05791
\(226\) 169.510 236.572i 0.750042 1.04678i
\(227\) 10.1792 + 4.21638i 0.0448425 + 0.0185744i 0.404992 0.914320i \(-0.367274\pi\)
−0.360149 + 0.932895i \(0.617274\pi\)
\(228\) 106.334 + 52.4267i 0.466375 + 0.229941i
\(229\) −134.494 324.696i −0.587308 1.41789i −0.886066 0.463559i \(-0.846572\pi\)
0.298758 0.954329i \(1.59657\pi\)
\(230\) 3.65989 2.27608i 0.0159126 0.00989601i
\(231\) 212.698 + 42.5489i 0.920771 + 0.184194i
\(232\) −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
\(238\) −6.14295 + 5.74146i −0.0258107 + 0.0241238i
\(239\) 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 \(-0.537539\pi\)
−0.117658 + 0.993054i \(0.537539\pi\)
\(242\) −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
\(245\) −0.980829 + 450.745i −0.00400338 + 1.83978i
\(246\) 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 \(-0.902611\pi\)
0.461284 0.887253i \(1.65261\pi\)
\(252\) 88.6200 + 68.1418i 0.351667 + 0.270404i
\(253\) −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 \(-0.737281\pi\)
0.678295 0.734789i \(-0.262719\pi\)
\(258\) −307.282 + 428.851i −1.19102 + 1.66221i
\(259\) −44.7169 226.093i −0.172652 0.872944i
\(260\) −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
\(266\) −40.4377 107.782i −0.152021 0.405195i
\(267\) −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 \(0.345912\pi\)
−0.954947 + 0.296777i \(0.904088\pi\)
\(270\) −327.637 + 54.1074i −1.21347 + 0.200398i
\(271\) −63.8128 −0.235472 −0.117736 0.993045i \(-0.537564\pi\)
−0.117736 + 0.993045i \(0.537564\pi\)
\(272\) −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
\(280\) −50.9849 + 512.610i −0.182089 + 1.83075i
\(281\) −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 0.883083 0.469217i \(-0.155464\pi\)
−0.956220 + 0.292647i \(0.905464\pi\)
\(284\) 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 \(-0.963203\pi\)
0.620827 0.783948i \(1.71320\pi\)
\(294\) −56.7977 348.646i −0.193190 1.18587i
\(295\) −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
\(301\) 502.544 99.3939i 1.66958 0.330212i
\(302\) 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 −0.864569 0.502514i \(-0.832409\pi\)
0.966674 + 0.256012i \(0.0824086\pi\)
\(308\) −120.147 208.583i −0.390087 0.677219i
\(309\) 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 −0.439901 0.898046i \(-0.644986\pi\)
0.898046 + 0.439901i \(0.144986\pi\)
\(312\) 249.941 + 467.464i 0.801093 + 1.49828i
\(313\) 306.371 + 306.371i 0.978821 + 0.978821i 0.999780 0.0209598i \(-0.00667219\pi\)
−0.0209598 + 0.999780i \(0.506672\pi\)
\(314\) −83.4064 134.116i −0.265625 0.427120i
\(315\) −213.602 143.061i −0.678103 0.454162i
\(316\) −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
\(322\) 3.27780 + 0.110735i 0.0101795 + 0.000343898i
\(323\) −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
\(329\) 32.9489 164.708i 0.100149 0.500634i
\(330\) −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
\(336\) −26.0337 402.864i −0.0774812 1.19900i
\(337\) 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
\(343\) −191.490 + 284.571i −0.558281 + 0.829652i
\(344\) 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 0.477096 0.878851i \(-0.341689\pi\)
−0.284084 + 0.958799i \(0.591689\pi\)
\(350\) 28.1821 834.203i 0.0805204 2.38344i
\(351\) 331.804 0.945310
\(352\) −113.589 250.554i −0.322695 0.711802i
\(353\) 170.962i 0.484311i −0.970237 0.242156i \(-0.922146\pi\)
0.970237 0.242156i \(-0.0778545\pi\)
\(354\) 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
\(357\) −8.43280 + 12.5909i −0.0236213 + 0.0352686i
\(358\) 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
\(364\) 133.718 497.046i 0.367356 1.36551i
\(365\) −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 \(-0.479649\pi\)
0.0638897 + 0.997957i \(0.479649\pi\)
\(368\) 3.71621 + 0.488607i 0.0100984 + 0.00132774i
\(369\) 87.4933 0.237109
\(370\) 98.6978 + 597.646i 0.266751 + 1.61526i
\(371\) −349.786 + 69.1813i −0.942820 + 0.186472i
\(372\) 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
\(378\) −230.062 104.530i −0.608630 0.276534i
\(379\) −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 \(0.284038\pi\)
−0.627598 + 0.778538i \(0.715962\pi\)
\(384\) 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
\(392\) −249.302 + 302.510i −0.635976 + 0.771709i
\(393\) −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 \(-0.656213\pi\)
0.956906 0.290397i \(-0.0937874\pi\)
\(398\) −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
\(406\) 186.393 + 496.809i 0.459095 + 1.22367i
\(407\) −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 \(0.0385421\pi\)
0.120788 + 0.992678i \(0.461458\pi\)
\(410\) 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
\(413\) −234.856 + 46.4501i −0.568657 + 0.112470i
\(414\) −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 0.975629 0.219429i \(-0.0704193\pi\)
0.534714 + 0.845033i \(0.320419\pi\)
\(420\) 120.259 + 920.589i 0.286330 + 2.19188i
\(421\) −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
\(427\) −216.852 + 323.778i −0.507849 + 0.758263i
\(428\) 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 \(-0.347561\pi\)
0.460803 + 0.887502i \(0.347561\pi\)
\(434\) −208.011 222.558i −0.479289 0.512805i
\(435\) 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 −0.249402 0.968400i \(-0.580234\pi\)
0.968400 + 0.249402i \(0.0802342\pi\)
\(440\) 298.302 + 557.913i 0.677959 + 1.26798i
\(441\) −74.4713 180.902i −0.168869 0.410209i
\(442\) −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
\(448\) −317.048 + 316.520i −0.707696 + 0.706517i
\(449\) −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
\(455\) −232.194 + 1160.72i −0.510316 + 2.55102i
\(456\) −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 −0.944663 0.328042i \(-0.893611\pi\)
0.899938 + 0.436017i \(0.143611\pi\)
\(462\) −296.228 316.943i −0.641185 0.686023i
\(463\) 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 −0.904574 0.426317i \(-0.859811\pi\)
0.941082 + 0.338178i \(0.109811\pi\)
\(468\) 193.584 + 220.702i 0.413640 + 0.471585i
\(469\) −584.891 391.733i −1.24710 0.835252i
\(470\) −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
\(476\) 16.6750 2.17829i 0.0350315 0.00457625i
\(477\) 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 \(-0.891207\pi\)
0.942159 0.335168i \(-0.108793\pi\)
\(480\) 34.9414 + 1060.47i 0.0727947 + 2.20930i
\(481\) 605.246i 1.25831i
\(482\) 92.1979 + 66.0622i 0.191282 + 0.137058i
\(483\) 5.79848 1.14683i 0.0120051 0.00237439i
\(484\) 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
\(490\) 526.662 731.654i 1.07482 1.49317i
\(491\) 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 −0.477857 0.878438i \(-0.658586\pi\)
0.878438 + 0.477857i \(0.158586\pi\)
\(504\) −64.6958 214.013i −0.128365 0.424630i
\(505\) 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 −0.0699344 0.997552i \(-0.522279\pi\)
−0.754827 + 0.655924i \(0.772279\pi\)
\(510\) 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
\(518\) −190.674 + 419.658i −0.368096 + 0.810151i
\(519\) 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 −0.570905 0.821016i \(-0.693408\pi\)
0.821016 + 0.570905i \(0.193408\pi\)
\(522\) −294.739 68.7104i −0.564635 0.131629i
\(523\) −318.531 + 131.940i −0.609045 + 0.252275i −0.665820 0.746112i \(-0.731918\pi\)
0.0567751 + 0.998387i \(0.481918\pi\)
\(524\) −3.11969 + 47.6592i −0.00595360 + 0.0909527i
\(525\) −291.869 1475.72i −0.555942 2.81089i
\(526\) −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
\(532\) −59.8125 + 222.331i −0.112430 + 0.417916i
\(533\) −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
\(539\) −0.916636 + 421.245i −0.00170062 + 0.781531i
\(540\) 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
\(546\) 31.3213 927.124i 0.0573651 1.69803i
\(547\) 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
\(553\) 921.783 + 184.397i 1.66688 + 0.333448i
\(554\) −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
\(560\) 680.020 773.980i 1.21432 1.38211i
\(561\) 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 \(0.357742\pi\)
−0.943260 + 0.332055i \(0.892258\pi\)
\(564\) 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
\(567\) −693.213 138.673i −1.22260 0.244573i
\(568\) −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
\(574\) −10.3590 + 306.629i −0.0180470 + 0.534197i
\(575\) 13.9667 0.0242899
\(576\) −49.9129 250.596i −0.0866544 0.435062i
\(577\) 238.615i 0.413544i −0.978389 0.206772i \(-0.933704\pi\)
0.978389 0.206772i \(-0.0662958\pi\)
\(578\) 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
\(581\) 358.790 + 240.301i 0.617539 + 0.413599i
\(582\) −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 −0.962140 0.272557i \(-0.912131\pi\)
−0.487608 + 0.873063i \(0.662131\pi\)
\(588\) −313.794 + 632.971i −0.533663 + 1.07648i
\(589\) −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 \(-0.221305\pi\)
0.767893 + 0.640578i \(0.221305\pi\)
\(594\) −306.194 + 50.5662i −0.515478 + 0.0851282i
\(595\) −37.9389 + 7.50361i −0.0637628 + 0.0126111i
\(596\) −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 0.898877 0.438201i \(-0.144384\pi\)
−0.438201 + 0.898877i \(0.644384\pi\)
\(602\) −932.790 423.818i −1.54948 0.704016i
\(603\) 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 \(-0.977713\pi\)
0.997550 0.0699595i \(-0.0222870\pi\)
\(608\) −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
\(616\) −47.6480 + 479.060i −0.0773507 + 0.777696i
\(617\) −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 −0.499451 0.866342i \(-0.666465\pi\)
0.259431 + 0.965762i \(0.416465\pi\)
\(620\) 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
\(630\) 180.613 + 481.403i 0.286687 + 0.764132i
\(631\) 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
\(637\) −638.316 + 635.544i −1.00207 + 0.997714i
\(638\) 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 0.428557 0.903515i \(-0.359022\pi\)
−0.335846 + 0.941917i \(0.609022\pi\)
\(644\) −5.19987 3.99829i −0.00807433 0.00620853i
\(645\) −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 \(-0.969228\pi\)
−0.0965221 0.995331i \(1.46923\pi\)
\(648\) −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
\(651\) −456.165 305.518i −0.700714 0.469305i
\(652\) −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
\(658\) −245.433 + 229.392i −0.372998 + 0.348620i
\(659\) −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 0.250809 0.968037i \(-0.419303\pi\)
0.861854 + 0.507156i \(0.169303\pi\)
\(662\) 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
\(665\) 103.861 519.193i 0.156183 0.780742i
\(666\) −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
\(672\) −426.967 + 685.280i −0.635368 + 1.01976i
\(673\) 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 \(-0.912289\pi\)
0.488042 0.872820i \(1.66229\pi\)
\(678\) −890.812 + 553.995i −1.31388 + 0.817102i
\(679\) 338.375 + 67.6898i 0.498344 + 0.0996905i
\(680\) −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
\(686\) 642.807 239.574i 0.937036 0.349233i
\(687\) 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 \(0.388365\pi\)
−0.907003 + 0.421125i \(0.861635\pi\)
\(692\) −1129.74 73.9510i −1.63258 0.106866i
\(693\) −199.623 133.698i −0.288056 0.192926i
\(694\) 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
\(700\) −1017.57 + 1323.37i −1.45367 + 1.89053i
\(701\) 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
\(707\) 628.194 124.245i 0.888535 0.175736i
\(708\) −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
\(714\) 28.3765 10.6463i 0.0397430 0.0149108i
\(715\) 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 \(-0.587457\pi\)
−0.271310 + 0.962492i \(0.587457\pi\)
\(720\) 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 −0.0798700 0.996805i \(-0.525451\pi\)
0.996805 + 0.0798700i \(0.0254505\pi\)
\(728\) −796.392 + 652.303i −1.09395 + 0.896021i
\(729\) −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 0.448062 0.894003i \(-0.352114\pi\)
−0.315328 + 0.948983i \(0.602114\pi\)
\(734\) −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
\(742\) 649.251 + 294.990i 0.875001 + 0.397561i
\(743\) −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
\(749\) −452.488 + 89.4937i −0.604122 + 0.119484i
\(750\) 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
\(756\) 252.256 + 437.935i 0.333672 + 0.579279i
\(757\) −494.553