Properties

Label 105.4.s.a.101.3
Level $105$
Weight $4$
Character 105.101
Analytic conductor $6.195$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.19520055060\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.3
Character \(\chi\) \(=\) 105.101
Dual form 105.4.s.a.26.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.31734 + 1.91526i) q^{2} +(4.42611 - 2.72205i) q^{3} +(3.33648 - 5.77895i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(-9.46943 + 17.5071i) q^{6} +(8.94735 + 16.2156i) q^{7} -5.08329i q^{8} +(12.1808 - 24.0962i) q^{9} +O(q^{10})\) \(q+(-3.31734 + 1.91526i) q^{2} +(4.42611 - 2.72205i) q^{3} +(3.33648 - 5.77895i) q^{4} +(-2.50000 - 4.33013i) q^{5} +(-9.46943 + 17.5071i) q^{6} +(8.94735 + 16.2156i) q^{7} -5.08329i q^{8} +(12.1808 - 24.0962i) q^{9} +(16.5867 + 9.57632i) q^{10} +(-12.9526 - 7.47816i) q^{11} +(-0.963005 - 34.6603i) q^{12} -63.8636i q^{13} +(-60.7385 - 36.6560i) q^{14} +(-22.8521 - 12.3605i) q^{15} +(36.4277 + 63.0946i) q^{16} +(-11.0025 + 19.0569i) q^{17} +(5.74267 + 103.265i) q^{18} +(137.229 - 79.2293i) q^{19} -33.3648 q^{20} +(83.7416 + 47.4167i) q^{21} +57.2906 q^{22} +(162.564 - 93.8566i) q^{23} +(-13.8370 - 22.4992i) q^{24} +(-12.5000 + 21.6506i) q^{25} +(122.316 + 211.857i) q^{26} +(-11.6775 - 139.809i) q^{27} +(123.562 + 2.39660i) q^{28} +179.589i q^{29} +(99.4817 - 2.76401i) q^{30} +(64.0984 + 37.0072i) q^{31} +(-206.467 - 119.204i) q^{32} +(-77.6854 + 2.15842i) q^{33} -84.2908i q^{34} +(47.8471 - 79.2821i) q^{35} +(-98.6096 - 150.789i) q^{36} +(-182.983 - 316.935i) q^{37} +(-303.490 + 525.660i) q^{38} +(-173.840 - 282.667i) q^{39} +(-22.0113 + 12.7082i) q^{40} +168.976 q^{41} +(-368.615 + 3.09031i) q^{42} -60.4265 q^{43} +(-86.4318 + 49.9014i) q^{44} +(-134.792 + 7.49592i) q^{45} +(-359.521 + 622.708i) q^{46} +(-5.05040 - 8.74755i) q^{47} +(332.979 + 180.105i) q^{48} +(-182.890 + 290.173i) q^{49} -95.7632i q^{50} +(3.17564 + 114.297i) q^{51} +(-369.064 - 213.079i) q^{52} +(-467.597 - 269.967i) q^{53} +(306.510 + 441.429i) q^{54} +74.7816i q^{55} +(82.4284 - 45.4820i) q^{56} +(391.724 - 724.222i) q^{57} +(-343.961 - 595.757i) q^{58} +(-165.592 + 286.813i) q^{59} +(-147.676 + 90.8207i) q^{60} +(-15.5603 + 8.98375i) q^{61} -283.515 q^{62} +(499.720 - 18.0779i) q^{63} +330.387 q^{64} +(-276.537 + 159.659i) q^{65} +(253.574 - 155.948i) q^{66} +(-111.665 + 193.410i) q^{67} +(73.4192 + 127.166i) q^{68} +(464.045 - 857.929i) q^{69} +(-6.87870 + 354.645i) q^{70} +563.097i q^{71} +(-122.488 - 61.9187i) q^{72} +(525.173 + 303.209i) q^{73} +(1214.03 + 700.920i) q^{74} +(3.60787 + 129.854i) q^{75} -1057.39i q^{76} +(5.37159 - 276.943i) q^{77} +(1118.07 + 604.751i) q^{78} +(88.0028 + 152.425i) q^{79} +(182.138 - 315.473i) q^{80} +(-432.254 - 587.024i) q^{81} +(-560.551 + 323.634i) q^{82} -635.008 q^{83} +(553.421 - 325.734i) q^{84} +110.025 q^{85} +(200.455 - 115.733i) q^{86} +(488.851 + 794.880i) q^{87} +(-38.0136 + 65.8416i) q^{88} +(388.869 + 673.540i) q^{89} +(432.793 - 283.028i) q^{90} +(1035.58 - 571.410i) q^{91} -1252.60i q^{92} +(384.442 - 10.6814i) q^{93} +(33.5077 + 19.3457i) q^{94} +(-686.146 - 396.146i) q^{95} +(-1238.33 + 34.4058i) q^{96} +1032.16i q^{97} +(50.9485 - 1312.88i) q^{98} +(-337.968 + 221.017i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + O(q^{10}) \) \( 32q - 2q^{3} + 64q^{4} - 80q^{5} - 28q^{6} + 46q^{7} + 100q^{9} + 36q^{11} + 246q^{12} + 18q^{14} + 20q^{15} - 376q^{16} - 72q^{17} - 442q^{18} - 198q^{19} - 640q^{20} - 218q^{21} + 204q^{22} + 72q^{23} - 50q^{24} - 400q^{25} - 312q^{26} + 508q^{27} + 350q^{28} + 40q^{30} + 510q^{31} + 810q^{32} + 290q^{33} - 70q^{35} - 612q^{36} - 658q^{37} - 192q^{38} - 648q^{39} - 1404q^{41} + 1892q^{42} + 332q^{43} + 2034q^{44} - 490q^{45} - 468q^{46} + 408q^{47} + 2810q^{48} + 980q^{49} - 888q^{51} + 3378q^{52} + 1152q^{53} + 2714q^{54} - 3354q^{56} - 816q^{57} - 1080q^{58} - 48q^{59} - 420q^{60} - 1662q^{61} - 2076q^{62} + 874q^{63} - 1952q^{64} + 870q^{65} - 1892q^{66} - 1298q^{67} + 1182q^{68} + 2450q^{69} - 450q^{70} - 2708q^{72} + 378q^{73} + 2898q^{74} - 50q^{75} - 3528q^{77} - 1896q^{78} - 326q^{79} - 1880q^{80} - 3308q^{81} - 2916q^{82} - 1536q^{83} + 1380q^{84} + 720q^{85} + 5202q^{86} - 1090q^{87} + 1668q^{88} - 1590q^{89} + 910q^{90} + 2082q^{91} - 4950q^{93} - 1152q^{94} + 990q^{95} + 7416q^{96} - 7830q^{98} + 3128q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.31734 + 1.91526i −1.17286 + 0.677148i −0.954351 0.298688i \(-0.903451\pi\)
−0.218504 + 0.975836i \(0.570118\pi\)
\(3\) 4.42611 2.72205i 0.851805 0.523860i
\(4\) 3.33648 5.77895i 0.417060 0.722368i
\(5\) −2.50000 4.33013i −0.223607 0.387298i
\(6\) −9.46943 + 17.5071i −0.644313 + 1.19121i
\(7\) 8.94735 + 16.2156i 0.483112 + 0.875559i
\(8\) 5.08329i 0.224652i
\(9\) 12.1808 24.0962i 0.451142 0.892452i
\(10\) 16.5867 + 9.57632i 0.524517 + 0.302830i
\(11\) −12.9526 7.47816i −0.355031 0.204977i 0.311868 0.950126i \(-0.399045\pi\)
−0.666899 + 0.745148i \(0.732379\pi\)
\(12\) −0.963005 34.6603i −0.0231663 0.833798i
\(13\) 63.8636i 1.36251i −0.732048 0.681253i \(-0.761436\pi\)
0.732048 0.681253i \(-0.238564\pi\)
\(14\) −60.7385 36.6560i −1.15950 0.699765i
\(15\) −22.8521 12.3605i −0.393359 0.212764i
\(16\) 36.4277 + 63.0946i 0.569182 + 0.985852i
\(17\) −11.0025 + 19.0569i −0.156970 + 0.271881i −0.933775 0.357861i \(-0.883506\pi\)
0.776804 + 0.629742i \(0.216839\pi\)
\(18\) 5.74267 + 103.265i 0.0751978 + 1.35221i
\(19\) 137.229 79.2293i 1.65697 0.956655i 0.682875 0.730535i \(-0.260729\pi\)
0.974099 0.226120i \(-0.0726041\pi\)
\(20\) −33.3648 −0.373029
\(21\) 83.7416 + 47.4167i 0.870187 + 0.492722i
\(22\) 57.2906 0.555200
\(23\) 162.564 93.8566i 1.47378 0.850889i 0.474219 0.880407i \(-0.342730\pi\)
0.999564 + 0.0295172i \(0.00939700\pi\)
\(24\) −13.8370 22.4992i −0.117686 0.191359i
\(25\) −12.5000 + 21.6506i −0.100000 + 0.173205i
\(26\) 122.316 + 211.857i 0.922618 + 1.59802i
\(27\) −11.6775 139.809i −0.0832344 0.996530i
\(28\) 123.562 + 2.39660i 0.833962 + 0.0161755i
\(29\) 179.589i 1.14996i 0.818167 + 0.574980i \(0.194990\pi\)
−0.818167 + 0.574980i \(0.805010\pi\)
\(30\) 99.4817 2.76401i 0.605426 0.0168212i
\(31\) 64.0984 + 37.0072i 0.371368 + 0.214410i 0.674056 0.738680i \(-0.264551\pi\)
−0.302688 + 0.953090i \(0.597884\pi\)
\(32\) −206.467 119.204i −1.14058 0.658516i
\(33\) −77.6854 + 2.15842i −0.409796 + 0.0113858i
\(34\) 84.2908i 0.425169i
\(35\) 47.8471 79.2821i 0.231075 0.382889i
\(36\) −98.6096 150.789i −0.456526 0.698097i
\(37\) −182.983 316.935i −0.813031 1.40821i −0.910733 0.412996i \(-0.864482\pi\)
0.0977017 0.995216i \(-0.468851\pi\)
\(38\) −303.490 + 525.660i −1.29559 + 2.24404i
\(39\) −173.840 282.667i −0.713761 1.16059i
\(40\) −22.0113 + 12.7082i −0.0870072 + 0.0502336i
\(41\) 168.976 0.643650 0.321825 0.946799i \(-0.395704\pi\)
0.321825 + 0.946799i \(0.395704\pi\)
\(42\) −368.615 + 3.09031i −1.35425 + 0.0113534i
\(43\) −60.4265 −0.214301 −0.107151 0.994243i \(-0.534173\pi\)
−0.107151 + 0.994243i \(0.534173\pi\)
\(44\) −86.4318 + 49.9014i −0.296138 + 0.170976i
\(45\) −134.792 + 7.49592i −0.446524 + 0.0248317i
\(46\) −359.521 + 622.708i −1.15236 + 1.99594i
\(47\) −5.05040 8.74755i −0.0156740 0.0271481i 0.858082 0.513513i \(-0.171656\pi\)
−0.873756 + 0.486365i \(0.838323\pi\)
\(48\) 332.979 + 180.105i 1.00128 + 0.541582i
\(49\) −182.890 + 290.173i −0.533206 + 0.845985i
\(50\) 95.7632i 0.270859i
\(51\) 3.17564 + 114.297i 0.00871920 + 0.313820i
\(52\) −369.064 213.079i −0.984231 0.568246i
\(53\) −467.597 269.967i −1.21188 0.699676i −0.248708 0.968579i \(-0.580006\pi\)
−0.963168 + 0.268902i \(0.913339\pi\)
\(54\) 306.510 + 441.429i 0.772421 + 1.11242i
\(55\) 74.7816i 0.183337i
\(56\) 82.4284 45.4820i 0.196696 0.108532i
\(57\) 391.724 724.222i 0.910266 1.68291i
\(58\) −343.961 595.757i −0.778694 1.34874i
\(59\) −165.592 + 286.813i −0.365393 + 0.632879i −0.988839 0.148987i \(-0.952399\pi\)
0.623446 + 0.781866i \(0.285732\pi\)
\(60\) −147.676 + 90.8207i −0.317748 + 0.195415i
\(61\) −15.5603 + 8.98375i −0.0326606 + 0.0188566i −0.516241 0.856443i \(-0.672669\pi\)
0.483581 + 0.875300i \(0.339336\pi\)
\(62\) −283.515 −0.580748
\(63\) 499.720 18.0779i 0.999346 0.0361524i
\(64\) 330.387 0.645287
\(65\) −276.537 + 159.659i −0.527696 + 0.304665i
\(66\) 253.574 155.948i 0.472922 0.290847i
\(67\) −111.665 + 193.410i −0.203613 + 0.352668i −0.949690 0.313192i \(-0.898602\pi\)
0.746077 + 0.665860i \(0.231935\pi\)
\(68\) 73.4192 + 127.166i 0.130932 + 0.226781i
\(69\) 464.045 857.929i 0.809629 1.49685i
\(70\) −6.87870 + 354.645i −0.0117452 + 0.605546i
\(71\) 563.097i 0.941230i 0.882339 + 0.470615i \(0.155968\pi\)
−0.882339 + 0.470615i \(0.844032\pi\)
\(72\) −122.488 61.9187i −0.200491 0.101350i
\(73\) 525.173 + 303.209i 0.842012 + 0.486136i 0.857948 0.513737i \(-0.171739\pi\)
−0.0159358 + 0.999873i \(0.505073\pi\)
\(74\) 1214.03 + 700.920i 1.90714 + 1.10109i
\(75\) 3.60787 + 129.854i 0.00555468 + 0.199923i
\(76\) 1057.39i 1.59593i
\(77\) 5.37159 276.943i 0.00794999 0.409878i
\(78\) 1118.07 + 604.751i 1.62303 + 0.877880i
\(79\) 88.0028 + 152.425i 0.125330 + 0.217078i 0.921862 0.387518i \(-0.126668\pi\)
−0.796532 + 0.604597i \(0.793334\pi\)
\(80\) 182.138 315.473i 0.254546 0.440887i
\(81\) −432.254 587.024i −0.592941 0.805246i
\(82\) −560.551 + 323.634i −0.754908 + 0.435847i
\(83\) −635.008 −0.839773 −0.419887 0.907577i \(-0.637930\pi\)
−0.419887 + 0.907577i \(0.637930\pi\)
\(84\) 553.421 325.734i 0.718847 0.423101i
\(85\) 110.025 0.140399
\(86\) 200.455 115.733i 0.251344 0.145114i
\(87\) 488.851 + 794.880i 0.602418 + 0.979542i
\(88\) −38.0136 + 65.8416i −0.0460485 + 0.0797583i
\(89\) 388.869 + 673.540i 0.463146 + 0.802193i 0.999116 0.0420446i \(-0.0133872\pi\)
−0.535970 + 0.844237i \(0.680054\pi\)
\(90\) 432.793 283.028i 0.506893 0.331487i
\(91\) 1035.58 571.410i 1.19295 0.658242i
\(92\) 1252.60i 1.41949i
\(93\) 384.442 10.6814i 0.428654 0.0119098i
\(94\) 33.5077 + 19.3457i 0.0367666 + 0.0212272i
\(95\) −686.146 396.146i −0.741022 0.427829i
\(96\) −1238.33 + 34.4058i −1.31652 + 0.0365784i
\(97\) 1032.16i 1.08041i 0.841533 + 0.540206i \(0.181654\pi\)
−0.841533 + 0.540206i \(0.818346\pi\)
\(98\) 50.9485 1312.88i 0.0525161 1.35328i
\(99\) −337.968 + 221.017i −0.343102 + 0.224374i
\(100\) 83.4119 + 144.474i 0.0834119 + 0.144474i
\(101\) 16.5291 28.6292i 0.0162842 0.0282050i −0.857768 0.514036i \(-0.828150\pi\)
0.874053 + 0.485831i \(0.161483\pi\)
\(102\) −229.444 373.080i −0.222729 0.362161i
\(103\) −814.812 + 470.432i −0.779474 + 0.450030i −0.836244 0.548358i \(-0.815253\pi\)
0.0567697 + 0.998387i \(0.481920\pi\)
\(104\) −324.637 −0.306089
\(105\) −4.03379 481.154i −0.00374912 0.447198i
\(106\) 2068.23 1.89514
\(107\) 374.880 216.437i 0.338701 0.195549i −0.320997 0.947080i \(-0.604018\pi\)
0.659697 + 0.751531i \(0.270684\pi\)
\(108\) −846.912 398.987i −0.754576 0.355487i
\(109\) −389.652 + 674.896i −0.342402 + 0.593058i −0.984878 0.173248i \(-0.944574\pi\)
0.642476 + 0.766306i \(0.277907\pi\)
\(110\) −143.227 248.076i −0.124147 0.215028i
\(111\) −1672.62 904.700i −1.43025 0.773607i
\(112\) −697.183 + 1155.22i −0.588193 + 0.974629i
\(113\) 489.634i 0.407619i −0.979011 0.203809i \(-0.934668\pi\)
0.979011 0.203809i \(-0.0653323\pi\)
\(114\) 87.5961 + 3152.74i 0.0719661 + 2.59019i
\(115\) −812.822 469.283i −0.659096 0.380529i
\(116\) 1037.84 + 599.195i 0.830695 + 0.479602i
\(117\) −1538.87 777.912i −1.21597 0.614684i
\(118\) 1268.61i 0.989701i
\(119\) −407.462 7.90313i −0.313882 0.00608805i
\(120\) −62.8318 + 116.164i −0.0477978 + 0.0883688i
\(121\) −553.654 958.957i −0.415969 0.720479i
\(122\) 34.4125 59.6042i 0.0255374 0.0442321i
\(123\) 747.907 459.962i 0.548264 0.337182i
\(124\) 427.726 246.948i 0.309765 0.178843i
\(125\) 125.000 0.0894427
\(126\) −1623.12 + 1017.07i −1.14761 + 0.719107i
\(127\) 435.222 0.304092 0.152046 0.988373i \(-0.451414\pi\)
0.152046 + 0.988373i \(0.451414\pi\)
\(128\) 555.736 320.854i 0.383755 0.221561i
\(129\) −267.454 + 164.484i −0.182543 + 0.112264i
\(130\) 611.578 1059.28i 0.412607 0.714657i
\(131\) 16.9758 + 29.4029i 0.0113220 + 0.0196103i 0.871631 0.490163i \(-0.163063\pi\)
−0.860309 + 0.509773i \(0.829729\pi\)
\(132\) −246.722 + 456.141i −0.162685 + 0.300773i
\(133\) 2512.59 + 1516.36i 1.63811 + 0.988608i
\(134\) 855.474i 0.551505i
\(135\) −576.198 + 400.088i −0.367343 + 0.255067i
\(136\) 96.8716 + 55.9289i 0.0610785 + 0.0352637i
\(137\) 2721.27 + 1571.13i 1.69704 + 0.979784i 0.948547 + 0.316635i \(0.102553\pi\)
0.748488 + 0.663149i \(0.230780\pi\)
\(138\) 103.768 + 3734.81i 0.0640097 + 2.30382i
\(139\) 2399.79i 1.46437i −0.681106 0.732185i \(-0.738501\pi\)
0.681106 0.732185i \(-0.261499\pi\)
\(140\) −298.526 541.029i −0.180215 0.326609i
\(141\) −46.1649 24.9701i −0.0275730 0.0149139i
\(142\) −1078.48 1867.98i −0.637352 1.10393i
\(143\) −477.582 + 827.196i −0.279283 + 0.483732i
\(144\) 1964.06 109.224i 1.13661 0.0632080i
\(145\) 777.643 448.973i 0.445378 0.257139i
\(146\) −2322.90 −1.31674
\(147\) −19.6229 + 1782.17i −0.0110100 + 0.999939i
\(148\) −2442.07 −1.35633
\(149\) 687.647 397.013i 0.378082 0.218286i −0.298901 0.954284i \(-0.596620\pi\)
0.676984 + 0.735998i \(0.263287\pi\)
\(150\) −260.673 423.858i −0.141892 0.230719i
\(151\) −288.851 + 500.304i −0.155671 + 0.269630i −0.933303 0.359089i \(-0.883087\pi\)
0.777632 + 0.628720i \(0.216421\pi\)
\(152\) −402.745 697.575i −0.214914 0.372242i
\(153\) 325.179 + 497.247i 0.171825 + 0.262746i
\(154\) 512.600 + 929.000i 0.268224 + 0.486110i
\(155\) 370.072i 0.191774i
\(156\) −2213.53 + 61.5010i −1.13605 + 0.0315642i
\(157\) −1228.62 709.343i −0.624550 0.360584i 0.154088 0.988057i \(-0.450756\pi\)
−0.778638 + 0.627473i \(0.784089\pi\)
\(158\) −583.870 337.097i −0.293989 0.169734i
\(159\) −2804.50 + 77.9205i −1.39881 + 0.0388648i
\(160\) 1192.04i 0.588994i
\(161\) 2976.46 + 1796.31i 1.45701 + 0.879310i
\(162\) 2558.24 + 1119.47i 1.24071 + 0.542928i
\(163\) 1060.60 + 1837.02i 0.509649 + 0.882737i 0.999938 + 0.0111775i \(0.00355797\pi\)
−0.490289 + 0.871560i \(0.663109\pi\)
\(164\) 563.785 976.505i 0.268440 0.464953i
\(165\) 203.560 + 330.991i 0.0960430 + 0.156168i
\(166\) 2106.53 1216.21i 0.984932 0.568651i
\(167\) 2298.28 1.06495 0.532473 0.846447i \(-0.321263\pi\)
0.532473 + 0.846447i \(0.321263\pi\)
\(168\) 241.033 425.683i 0.110691 0.195489i
\(169\) −1881.56 −0.856421
\(170\) −364.990 + 210.727i −0.164667 + 0.0950707i
\(171\) −237.558 4271.78i −0.106237 1.91036i
\(172\) −201.612 + 349.202i −0.0893764 + 0.154804i
\(173\) −602.351 1043.30i −0.264716 0.458502i 0.702773 0.711414i \(-0.251945\pi\)
−0.967489 + 0.252912i \(0.918612\pi\)
\(174\) −3144.09 1700.61i −1.36984 0.740934i
\(175\) −462.919 8.97879i −0.199962 0.00387847i
\(176\) 1089.65i 0.466678i
\(177\) 47.7946 + 1720.21i 0.0202964 + 0.730504i
\(178\) −2580.02 1489.57i −1.08641 0.627237i
\(179\) 956.963 + 552.503i 0.399591 + 0.230704i 0.686308 0.727311i \(-0.259230\pi\)
−0.286716 + 0.958015i \(0.592564\pi\)
\(180\) −406.411 + 803.964i −0.168289 + 0.332911i
\(181\) 2923.49i 1.20056i 0.799789 + 0.600281i \(0.204944\pi\)
−0.799789 + 0.600281i \(0.795056\pi\)
\(182\) −2340.98 + 3878.98i −0.953434 + 1.57983i
\(183\) −44.4173 + 82.1191i −0.0179422 + 0.0331717i
\(184\) −477.100 826.362i −0.191154 0.331088i
\(185\) −914.913 + 1584.68i −0.363599 + 0.629771i
\(186\) −1254.87 + 771.742i −0.494684 + 0.304231i
\(187\) 285.021 164.557i 0.111459 0.0643508i
\(188\) −67.4022 −0.0261479
\(189\) 2162.61 1440.28i 0.832309 0.554312i
\(190\) 3034.90 1.15881
\(191\) 832.436 480.607i 0.315356 0.182071i −0.333965 0.942586i \(-0.608387\pi\)
0.649321 + 0.760515i \(0.275053\pi\)
\(192\) 1462.33 899.331i 0.549658 0.338040i
\(193\) −590.830 + 1023.35i −0.220357 + 0.381669i −0.954916 0.296875i \(-0.904055\pi\)
0.734560 + 0.678544i \(0.237389\pi\)
\(194\) −1976.86 3424.02i −0.731599 1.26717i
\(195\) −789.384 + 1459.42i −0.289892 + 0.535954i
\(196\) 1066.69 + 2025.07i 0.388734 + 0.737998i
\(197\) 3727.40i 1.34805i −0.738708 0.674025i \(-0.764564\pi\)
0.738708 0.674025i \(-0.235436\pi\)
\(198\) 697.848 1380.49i 0.250474 0.495490i
\(199\) −2229.58 1287.25i −0.794225 0.458546i 0.0472231 0.998884i \(-0.484963\pi\)
−0.841448 + 0.540339i \(0.818296\pi\)
\(200\) 110.056 + 63.5411i 0.0389108 + 0.0224652i
\(201\) 32.2299 + 1160.01i 0.0113100 + 0.407069i
\(202\) 126.630i 0.0441072i
\(203\) −2912.14 + 1606.85i −1.00686 + 0.555559i
\(204\) 671.113 + 362.998i 0.230330 + 0.124583i
\(205\) −422.441 731.689i −0.143925 0.249285i
\(206\) 1802.00 3121.16i 0.609474 1.05564i
\(207\) −281.417 5060.44i −0.0944918 1.69915i
\(208\) 4029.44 2326.40i 1.34323 0.775514i
\(209\) −2369.96 −0.784370
\(210\) 934.918 + 1588.42i 0.307216 + 0.521960i
\(211\) −1310.06 −0.427434 −0.213717 0.976896i \(-0.568557\pi\)
−0.213717 + 0.976896i \(0.568557\pi\)
\(212\) −3120.25 + 1801.48i −1.01085 + 0.583614i
\(213\) 1532.78 + 2492.33i 0.493072 + 0.801744i
\(214\) −829.068 + 1435.99i −0.264831 + 0.458701i
\(215\) 151.066 + 261.654i 0.0479192 + 0.0829985i
\(216\) −710.691 + 59.3599i −0.223872 + 0.0186988i
\(217\) −26.5824 + 1370.51i −0.00831581 + 0.428738i
\(218\) 2985.14i 0.927429i
\(219\) 3149.82 87.5150i 0.971896 0.0270033i
\(220\) 432.159 + 249.507i 0.132437 + 0.0764626i
\(221\) 1217.04 + 702.659i 0.370439 + 0.213873i
\(222\) 7281.37 202.306i 2.20132 0.0611617i
\(223\) 1484.59i 0.445809i 0.974840 + 0.222904i \(0.0715538\pi\)
−0.974840 + 0.222904i \(0.928446\pi\)
\(224\) 85.6246 4414.55i 0.0255403 1.31678i
\(225\) 369.438 + 564.926i 0.109463 + 0.167385i
\(226\) 937.779 + 1624.28i 0.276018 + 0.478078i
\(227\) −1387.78 + 2403.71i −0.405773 + 0.702819i −0.994411 0.105577i \(-0.966331\pi\)
0.588638 + 0.808397i \(0.299664\pi\)
\(228\) −2878.26 4680.11i −0.836042 1.35942i
\(229\) −3258.94 + 1881.55i −0.940422 + 0.542953i −0.890093 0.455780i \(-0.849360\pi\)
−0.0503294 + 0.998733i \(0.516027\pi\)
\(230\) 3595.21 1.03070
\(231\) −730.078 1240.40i −0.207946 0.353300i
\(232\) 912.903 0.258341
\(233\) 3132.07 1808.30i 0.880640 0.508438i 0.00977035 0.999952i \(-0.496890\pi\)
0.870869 + 0.491515i \(0.163557\pi\)
\(234\) 6594.86 366.747i 1.84239 0.102457i
\(235\) −25.2520 + 43.7378i −0.00700961 + 0.0121410i
\(236\) 1104.98 + 1913.89i 0.304781 + 0.527897i
\(237\) 804.420 + 435.103i 0.220476 + 0.119253i
\(238\) 1366.82 754.179i 0.372261 0.205404i
\(239\) 4715.60i 1.27626i 0.769928 + 0.638131i \(0.220292\pi\)
−0.769928 + 0.638131i \(0.779708\pi\)
\(240\) −52.5705 1892.11i −0.0141392 0.508896i
\(241\) 6330.88 + 3655.14i 1.69215 + 0.976963i 0.952780 + 0.303662i \(0.0982095\pi\)
0.739369 + 0.673300i \(0.235124\pi\)
\(242\) 3673.31 + 2120.79i 0.975742 + 0.563345i
\(243\) −3511.11 1421.61i −0.926906 0.375294i
\(244\) 119.896i 0.0314573i
\(245\) 1713.71 + 66.5033i 0.446877 + 0.0173418i
\(246\) −1600.11 + 2958.29i −0.414712 + 0.766722i
\(247\) −5059.86 8763.94i −1.30345 2.25764i
\(248\) 188.118 325.831i 0.0481675 0.0834285i
\(249\) −2810.61 + 1728.53i −0.715323 + 0.439923i
\(250\) −414.667 + 239.408i −0.104903 + 0.0605660i
\(251\) 2817.02 0.708402 0.354201 0.935169i \(-0.384753\pi\)
0.354201 + 0.935169i \(0.384753\pi\)
\(252\) 1562.83 2948.17i 0.390672 0.736974i
\(253\) −2807.50 −0.697652
\(254\) −1443.78 + 833.565i −0.356656 + 0.205916i
\(255\) 486.982 299.494i 0.119592 0.0735492i
\(256\) −2550.59 + 4417.75i −0.622702 + 1.07855i
\(257\) 1583.48 + 2742.67i 0.384338 + 0.665693i 0.991677 0.128750i \(-0.0410965\pi\)
−0.607339 + 0.794443i \(0.707763\pi\)
\(258\) 572.204 1057.89i 0.138077 0.255278i
\(259\) 3502.08 5802.90i 0.840187 1.39218i
\(260\) 2130.79i 0.508255i
\(261\) 4327.41 + 2187.55i 1.02628 + 0.518796i
\(262\) −112.629 65.0263i −0.0265581 0.0153333i
\(263\) −4281.12 2471.71i −1.00375 0.579513i −0.0943917 0.995535i \(-0.530091\pi\)
−0.909355 + 0.416022i \(0.863424\pi\)
\(264\) 10.9719 + 394.897i 0.00255784 + 0.0920615i
\(265\) 2699.67i 0.625810i
\(266\) −11239.3 217.998i −2.59070 0.0502493i
\(267\) 3554.59 + 1922.64i 0.814746 + 0.440688i
\(268\) 745.137 + 1290.61i 0.169838 + 0.294167i
\(269\) −2686.98 + 4653.99i −0.609026 + 1.05486i 0.382375 + 0.924007i \(0.375106\pi\)
−0.991401 + 0.130857i \(0.958227\pi\)
\(270\) 1145.17 2430.80i 0.258121 0.547903i
\(271\) 3808.34 2198.74i 0.853653 0.492857i −0.00822876 0.999966i \(-0.502619\pi\)
0.861882 + 0.507109i \(0.169286\pi\)
\(272\) −1603.18 −0.357379
\(273\) 3028.20 5348.04i 0.671337 1.18563i
\(274\) −12036.5 −2.65384
\(275\) 323.814 186.954i 0.0710062 0.0409955i
\(276\) −3409.65 5544.15i −0.743612 1.20913i
\(277\) 1386.56 2401.60i 0.300760 0.520931i −0.675548 0.737316i \(-0.736093\pi\)
0.976308 + 0.216384i \(0.0694264\pi\)
\(278\) 4596.23 + 7960.90i 0.991596 + 1.71749i
\(279\) 1672.51 1093.75i 0.358890 0.234699i
\(280\) −403.014 243.221i −0.0860167 0.0519115i
\(281\) 2638.82i 0.560208i −0.959970 0.280104i \(-0.909631\pi\)
0.959970 0.280104i \(-0.0903690\pi\)
\(282\) 200.969 5.58374i 0.0424380 0.00117910i
\(283\) −6563.91 3789.67i −1.37874 0.796017i −0.386733 0.922192i \(-0.626397\pi\)
−0.992008 + 0.126175i \(0.959730\pi\)
\(284\) 3254.11 + 1878.76i 0.679915 + 0.392549i
\(285\) −4115.29 + 114.339i −0.855328 + 0.0237645i
\(286\) 3658.78i 0.756463i
\(287\) 1511.89 + 2740.05i 0.310955 + 0.563553i
\(288\) −5387.31 + 3523.08i −1.10226 + 0.720831i
\(289\) 2214.39 + 3835.44i 0.450721 + 0.780671i
\(290\) −1719.80 + 2978.79i −0.348242 + 0.603174i
\(291\) 2809.60 + 4568.45i 0.565984 + 0.920300i
\(292\) 3504.46 2023.30i 0.702338 0.405495i
\(293\) −116.449 −0.0232186 −0.0116093 0.999933i \(-0.503695\pi\)
−0.0116093 + 0.999933i \(0.503695\pi\)
\(294\) −3348.24 5949.65i −0.664194 1.18024i
\(295\) 1655.92 0.326817
\(296\) −1611.07 + 930.153i −0.316357 + 0.182649i
\(297\) −894.263 + 1898.21i −0.174715 + 0.370860i
\(298\) −1520.77 + 2634.05i −0.295624 + 0.512036i
\(299\) −5994.02 10381.9i −1.15934 2.00804i
\(300\) 762.455 + 412.404i 0.146735 + 0.0793672i
\(301\) −540.657 979.850i −0.103531 0.187633i
\(302\) 2212.90i 0.421650i
\(303\) −4.77077 171.709i −0.000904533 0.0325558i
\(304\) 9997.87 + 5772.27i 1.88624 + 1.08902i
\(305\) 77.8016 + 44.9188i 0.0146062 + 0.00843292i
\(306\) −2031.09 1026.73i −0.379443 0.191812i
\(307\) 7885.43i 1.46595i 0.680258 + 0.732973i \(0.261868\pi\)
−0.680258 + 0.732973i \(0.738132\pi\)
\(308\) −1582.52 955.056i −0.292767 0.176686i
\(309\) −2325.90 + 4300.15i −0.428207 + 0.791672i
\(310\) 708.787 + 1227.65i 0.129859 + 0.224923i
\(311\) −4926.79 + 8533.45i −0.898304 + 1.55591i −0.0686420 + 0.997641i \(0.521867\pi\)
−0.829662 + 0.558266i \(0.811467\pi\)
\(312\) −1436.88 + 883.679i −0.260728 + 0.160348i
\(313\) 4182.59 2414.82i 0.755316 0.436082i −0.0722952 0.997383i \(-0.523032\pi\)
0.827612 + 0.561301i \(0.189699\pi\)
\(314\) 5434.32 0.976676
\(315\) −1327.58 2118.66i −0.237462 0.378961i
\(316\) 1174.48 0.209081
\(317\) −1492.49 + 861.692i −0.264438 + 0.152673i −0.626357 0.779536i \(-0.715455\pi\)
0.361919 + 0.932209i \(0.382122\pi\)
\(318\) 9154.23 5629.85i 1.61429 0.992787i
\(319\) 1343.00 2326.14i 0.235716 0.408272i
\(320\) −825.967 1430.62i −0.144290 0.249918i
\(321\) 1070.10 1978.42i 0.186067 0.344001i
\(322\) −13314.3 258.245i −2.30428 0.0446938i
\(323\) 3486.88i 0.600666i
\(324\) −4834.59 + 539.382i −0.828976 + 0.0924866i
\(325\) 1382.69 + 798.295i 0.235993 + 0.136251i
\(326\) −7036.74 4062.67i −1.19549 0.690216i
\(327\) 112.465 + 4047.82i 0.0190193 + 0.684541i
\(328\) 858.955i 0.144597i
\(329\) 96.6588 160.163i 0.0161975 0.0268391i
\(330\) −1309.21 708.139i −0.218393 0.118127i
\(331\) −2957.83 5123.10i −0.491168 0.850729i 0.508780 0.860897i \(-0.330097\pi\)
−0.999948 + 0.0101679i \(0.996763\pi\)
\(332\) −2118.69 + 3669.68i −0.350235 + 0.606626i
\(333\) −9865.82 + 548.649i −1.62355 + 0.0902876i
\(334\) −7624.15 + 4401.81i −1.24903 + 0.721126i
\(335\) 1116.65 0.182117
\(336\) 58.7765 + 7010.92i 0.00954322 + 1.13832i
\(337\) 10105.7 1.63350 0.816752 0.576989i \(-0.195773\pi\)
0.816752 + 0.576989i \(0.195773\pi\)
\(338\) 6241.75 3603.68i 1.00446 0.579924i
\(339\) −1332.81 2167.17i −0.213535 0.347212i
\(340\) 367.096 635.829i 0.0585546 0.101420i
\(341\) −553.492 958.677i −0.0878982 0.152244i
\(342\) 8969.65 + 13715.9i 1.41820 + 2.16864i
\(343\) −6341.70 369.382i −0.998308 0.0581479i
\(344\) 307.165i 0.0481431i
\(345\) −4875.05 + 135.449i −0.760765 + 0.0211372i
\(346\) 3996.40 + 2307.32i 0.620947 + 0.358504i
\(347\) −7526.30 4345.31i −1.16436 0.672244i −0.212015 0.977266i \(-0.568003\pi\)
−0.952345 + 0.305023i \(0.901336\pi\)
\(348\) 6224.61 172.945i 0.958834 0.0266403i
\(349\) 1429.22i 0.219210i −0.993975 0.109605i \(-0.965041\pi\)
0.993975 0.109605i \(-0.0349586\pi\)
\(350\) 1552.86 856.828i 0.237153 0.130855i
\(351\) −8928.72 + 745.765i −1.35778 + 0.113407i
\(352\) 1782.85 + 3087.99i 0.269962 + 0.467587i
\(353\) −4132.48 + 7157.66i −0.623087 + 1.07922i 0.365821 + 0.930685i \(0.380788\pi\)
−0.988907 + 0.148533i \(0.952545\pi\)
\(354\) −3453.22 5614.99i −0.518464 0.843032i
\(355\) 2438.28 1407.74i 0.364537 0.210465i
\(356\) 5189.81 0.772638
\(357\) −1824.98 + 1074.15i −0.270555 + 0.159244i
\(358\) −4232.76 −0.624883
\(359\) 256.265 147.955i 0.0376745 0.0217514i −0.481044 0.876696i \(-0.659742\pi\)
0.518719 + 0.854945i \(0.326409\pi\)
\(360\) 38.1039 + 685.185i 0.00557848 + 0.100312i
\(361\) 9125.06 15805.1i 1.33038 2.30428i
\(362\) −5599.26 9698.21i −0.812958 1.40808i
\(363\) −5060.87 2737.37i −0.731754 0.395798i
\(364\) 153.056 7891.09i 0.0220393 1.13628i
\(365\) 3032.09i 0.434813i
\(366\) −9.93246 357.487i −0.00141852 0.0510551i
\(367\) −2372.36 1369.68i −0.337428 0.194814i 0.321706 0.946840i \(-0.395744\pi\)
−0.659134 + 0.752025i \(0.729077\pi\)
\(368\) 11843.7 + 6837.95i 1.67770 + 0.968622i
\(369\) 2058.27 4071.69i 0.290378 0.574427i
\(370\) 7009.20i 0.984841i
\(371\) 193.918 9997.85i 0.0271368 1.39909i
\(372\) 1220.96 2257.31i 0.170171 0.314613i
\(373\) 3659.18 + 6337.88i 0.507949 + 0.879793i 0.999958 + 0.00920295i \(0.00292943\pi\)
−0.492009 + 0.870590i \(0.663737\pi\)
\(374\) −630.340 + 1091.78i −0.0871500 + 0.150948i
\(375\) 553.263 340.257i 0.0761877 0.0468554i
\(376\) −44.4663 + 25.6726i −0.00609887 + 0.00352118i
\(377\) 11469.2 1.56683
\(378\) −4415.57 + 8919.85i −0.600827 + 1.21372i
\(379\) 6215.46 0.842392 0.421196 0.906970i \(-0.361610\pi\)
0.421196 + 0.906970i \(0.361610\pi\)
\(380\) −4578.62 + 2643.47i −0.618100 + 0.356860i
\(381\) 1926.34 1184.70i 0.259027 0.159302i
\(382\) −1840.98 + 3188.67i −0.246578 + 0.427085i
\(383\) 3384.88 + 5862.78i 0.451590 + 0.782177i 0.998485 0.0550240i \(-0.0175235\pi\)
−0.546895 + 0.837201i \(0.684190\pi\)
\(384\) 1586.36 2932.88i 0.210817 0.389760i
\(385\) −1212.63 + 669.098i −0.160523 + 0.0885724i
\(386\) 4526.38i 0.596857i
\(387\) −736.046 + 1456.05i −0.0966804 + 0.191254i
\(388\) 5964.80 + 3443.78i 0.780456 + 0.450596i
\(389\) 6822.93 + 3939.22i 0.889297 + 0.513436i 0.873712 0.486443i \(-0.161706\pi\)
0.0155842 + 0.999879i \(0.495039\pi\)
\(390\) −176.519 6353.26i −0.0229190 0.824896i
\(391\) 4130.63i 0.534258i
\(392\) 1475.03 + 929.681i 0.190052 + 0.119786i
\(393\) 155.173 + 83.9315i 0.0199172 + 0.0107730i
\(394\) 7138.95 + 12365.0i 0.912830 + 1.58107i
\(395\) 440.014 762.127i 0.0560494 0.0970804i
\(396\) 149.623 + 2690.52i 0.0189869 + 0.341424i
\(397\) −6608.87 + 3815.63i −0.835490 + 0.482370i −0.855729 0.517425i \(-0.826891\pi\)
0.0202386 + 0.999795i \(0.493557\pi\)
\(398\) 9861.68 1.24201
\(399\) 15248.6 127.838i 1.91324 0.0160398i
\(400\) −1821.38 −0.227673
\(401\) 13358.9 7712.79i 1.66363 0.960495i 0.692664 0.721261i \(-0.256437\pi\)
0.970962 0.239234i \(-0.0768963\pi\)
\(402\) −2328.65 3786.42i −0.288911 0.469774i
\(403\) 2363.41 4093.55i 0.292134 0.505991i
\(404\) −110.298 191.041i −0.0135829 0.0235264i
\(405\) −1461.25 + 3339.28i −0.179285 + 0.409704i
\(406\) 6583.01 10908.0i 0.804702 1.33338i
\(407\) 5473.49i 0.666612i
\(408\) 581.006 16.1427i 0.0705002 0.00195878i
\(409\) 157.429 + 90.8918i 0.0190327 + 0.0109885i 0.509486 0.860479i \(-0.329836\pi\)
−0.490453 + 0.871467i \(0.663169\pi\)
\(410\) 2802.75 + 1618.17i 0.337605 + 0.194917i
\(411\) 16321.3 453.473i 1.95881 0.0544238i
\(412\) 6278.34i 0.750757i
\(413\) −6132.44 118.945i −0.730649 0.0141717i
\(414\) 10625.6 + 16248.2i 1.26140 + 1.92888i
\(415\) 1587.52 + 2749.66i 0.187779 + 0.325243i
\(416\) −7612.80 + 13185.8i −0.897231 + 1.55405i
\(417\) −6532.36 10621.7i −0.767124 1.24736i
\(418\) 7861.94 4539.10i 0.919953 0.531135i
\(419\) −7479.61 −0.872084 −0.436042 0.899926i \(-0.643620\pi\)
−0.436042 + 0.899926i \(0.643620\pi\)
\(420\) −2794.02 1582.05i −0.324605 0.183800i
\(421\) −9069.56 −1.04994 −0.524968 0.851122i \(-0.675923\pi\)
−0.524968 + 0.851122i \(0.675923\pi\)
\(422\) 4345.92 2509.12i 0.501318 0.289436i
\(423\) −272.301 + 15.1430i −0.0312996 + 0.00174060i
\(424\) −1372.32 + 2376.93i −0.157184 + 0.272250i
\(425\) −275.062 476.422i −0.0313941 0.0543762i
\(426\) −9858.21 5332.20i −1.12120 0.606446i
\(427\) −284.900 171.939i −0.0322887 0.0194864i
\(428\) 2888.55i 0.326222i
\(429\) 137.844 + 4961.26i 0.0155132 + 0.558350i
\(430\) −1002.27 578.664i −0.112405 0.0648968i
\(431\) −7258.46 4190.67i −0.811201 0.468347i 0.0361715 0.999346i \(-0.488484\pi\)
−0.847373 + 0.530998i \(0.821817\pi\)
\(432\) 8395.82 5829.71i 0.935056 0.649264i
\(433\) 5640.66i 0.626034i 0.949747 + 0.313017i \(0.101340\pi\)
−0.949747 + 0.313017i \(0.898660\pi\)
\(434\) −2536.71 4597.35i −0.280566 0.508479i
\(435\) 2219.80 4103.99i 0.244670 0.452348i
\(436\) 2600.13 + 4503.55i 0.285604 + 0.494681i
\(437\) 14872.4 25759.7i 1.62802 2.81980i
\(438\) −10281.4 + 6323.06i −1.12161 + 0.689789i
\(439\) 1828.10 1055.45i 0.198748 0.114747i −0.397323 0.917679i \(-0.630061\pi\)
0.596071 + 0.802931i \(0.296727\pi\)
\(440\) 380.136 0.0411870
\(441\) 4764.32 + 7941.50i 0.514449 + 0.857521i
\(442\) −5383.11 −0.579295
\(443\) 825.998 476.890i 0.0885877 0.0511462i −0.455052 0.890465i \(-0.650379\pi\)
0.543639 + 0.839319i \(0.317046\pi\)
\(444\) −10808.9 + 6647.44i −1.15533 + 0.710526i
\(445\) 1944.34 3367.70i 0.207125 0.358751i
\(446\) −2843.38 4924.88i −0.301879 0.522869i
\(447\) 1962.91 3629.04i 0.207701 0.383999i
\(448\) 2956.09 + 5357.41i 0.311745 + 0.564986i
\(449\) 3666.11i 0.385332i 0.981264 + 0.192666i \(0.0617135\pi\)
−0.981264 + 0.192666i \(0.938287\pi\)
\(450\) −2307.53 1166.48i −0.241729 0.122196i
\(451\) −2188.67 1263.63i −0.228516 0.131934i
\(452\) −2829.57 1633.65i −0.294451 0.170001i
\(453\) 83.3708 + 3000.67i 0.00864702 + 0.311222i
\(454\) 10631.9i 1.09907i
\(455\) −5063.24 3055.69i −0.521689 0.314841i
\(456\) −3681.43 1991.25i −0.378068 0.204493i
\(457\) −4313.23 7470.73i −0.441497 0.764696i 0.556303 0.830979i \(-0.312219\pi\)
−0.997801 + 0.0662833i \(0.978886\pi\)
\(458\) 7207.33 12483.5i 0.735319 1.27361i
\(459\) 2792.81 + 1315.72i 0.284003 + 0.133796i
\(460\) −5423.92 + 3131.50i −0.549765 + 0.317407i
\(461\) −7189.28 −0.726330 −0.363165 0.931725i \(-0.618304\pi\)
−0.363165 + 0.931725i \(0.618304\pi\)
\(462\) 4797.61 + 2716.53i 0.483128 + 0.273559i
\(463\) −2282.41 −0.229099 −0.114549 0.993418i \(-0.536542\pi\)
−0.114549 + 0.993418i \(0.536542\pi\)
\(464\) −11331.1 + 6542.01i −1.13369 + 0.654537i
\(465\) −1007.36 1637.98i −0.100463 0.163354i
\(466\) −6926.76 + 11997.5i −0.688575 + 1.19265i
\(467\) −3228.56 5592.04i −0.319915 0.554108i 0.660555 0.750777i \(-0.270321\pi\)
−0.980470 + 0.196669i \(0.936988\pi\)
\(468\) −9629.92 + 6297.56i −0.951160 + 0.622019i
\(469\) −4135.36 80.2094i −0.407150 0.00789707i
\(470\) 193.457i 0.0189862i
\(471\) −7368.86 + 204.737i −0.720890 + 0.0200293i
\(472\) 1457.95 + 841.750i 0.142177 + 0.0820862i
\(473\) 782.677 + 451.879i 0.0760836 + 0.0439269i
\(474\) −3501.87 + 97.2962i −0.339338 + 0.00942819i
\(475\) 3961.46i 0.382662i
\(476\) −1405.16 + 2328.33i −0.135305 + 0.224199i
\(477\) −12200.9 + 7978.88i −1.17116 + 0.765887i
\(478\) −9031.62 15643.2i −0.864219 1.49687i
\(479\) 6881.73 11919.5i 0.656439 1.13699i −0.325092 0.945682i \(-0.605395\pi\)
0.981531 0.191303i \(-0.0612715\pi\)
\(480\) 3244.80 + 5276.10i 0.308550 + 0.501708i
\(481\) −20240.6 + 11685.9i −1.91870 + 1.10776i
\(482\) −28002.2 −2.64619
\(483\) 18063.8 151.439i 1.70172 0.0142665i
\(484\) −7389.02 −0.693935
\(485\) 4469.38 2580.40i 0.418442 0.241587i
\(486\) 14370.3 2008.75i 1.34126 0.187487i
\(487\) −3315.76 + 5743.07i −0.308525 + 0.534380i −0.978040 0.208418i \(-0.933169\pi\)
0.669515 + 0.742798i \(0.266502\pi\)
\(488\) 45.6670 + 79.0975i 0.00423616 + 0.00733725i
\(489\) 9694.79 + 5243.81i 0.896552 + 0.484936i
\(490\) −5812.32 + 3061.59i −0.535865 + 0.282263i
\(491\) 1848.57i 0.169908i 0.996385 + 0.0849540i \(0.0270743\pi\)
−0.996385 + 0.0849540i \(0.972926\pi\)
\(492\) −162.725 5856.77i −0.0149110 0.536674i
\(493\) −3422.41 1975.93i −0.312652 0.180510i
\(494\) 33570.5 + 19382.0i 3.05751 + 1.76525i
\(495\) 1801.95 + 910.903i 0.163620 + 0.0827112i
\(496\) 5392.35i 0.488152i
\(497\) −9130.94 + 5038.23i −0.824102 + 0.454719i
\(498\) 6013.16 11117.2i 0.541077 1.00035i
\(499\) 6454.39 + 11179.3i 0.579034 + 1.00292i 0.995590 + 0.0938066i \(0.0299035\pi\)
−0.416556 + 0.909110i \(0.636763\pi\)
\(500\) 417.060 722.368i 0.0373029 0.0646106i
\(501\) 10172.4 6256.03i 0.907126 0.557882i
\(502\) −9345.00 + 5395.34i −0.830853 + 0.479693i
\(503\) −16082.5 −1.42562 −0.712808 0.701359i \(-0.752577\pi\)
−0.712808 + 0.701359i \(0.752577\pi\)
\(504\) −91.8953 2540.22i −0.00812171 0.224505i
\(505\) −165.291 −0.0145650
\(506\) 9313.42 5377.10i 0.818245 0.472414i
\(507\) −8327.97 + 5121.70i −0.729503 + 0.448644i
\(508\) 1452.11 2515.13i 0.126825 0.219667i
\(509\) 4553.38 + 7886.69i 0.396513 + 0.686781i 0.993293 0.115624i \(-0.0368869\pi\)
−0.596780 + 0.802405i \(0.703554\pi\)
\(510\) −1041.87 + 1926.22i −0.0904607 + 0.167244i
\(511\) −217.796 + 11228.9i −0.0188546 + 0.972089i
\(512\) 14406.5i 1.24353i
\(513\) −12679.5 18260.7i −1.09125 1.57160i
\(514\) −10505.9 6065.57i −0.901545 0.520507i
\(515\) 4074.06 + 2352.16i 0.348591 + 0.201259i
\(516\) 58.1910 + 2094.40i 0.00496457 + 0.178684i
\(517\) 151.071i 0.0128512i
\(518\) −503.473 + 25957.6i −0.0427053 + 2.20176i
\(519\) −5505.99 2978.14i −0.465677 0.251880i
\(520\) 811.592 + 1405.72i 0.0684436 + 0.118548i
\(521\) −2366.98 + 4099.73i −0.199039 + 0.344745i −0.948217 0.317623i \(-0.897115\pi\)
0.749178 + 0.662368i \(0.230449\pi\)
\(522\) −18545.2 + 1031.32i −1.55498 + 0.0864744i
\(523\) −1342.45 + 775.065i −0.112240 + 0.0648016i −0.555069 0.831804i \(-0.687308\pi\)
0.442829 + 0.896606i \(0.353975\pi\)
\(524\) 226.557 0.0188878
\(525\) −2073.37 + 1220.35i −0.172361 + 0.101449i
\(526\) 18935.9 1.56967
\(527\) −1410.49 + 814.344i −0.116588 + 0.0673119i
\(528\) −2966.08 4822.90i −0.244474 0.397518i
\(529\) 11534.6 19978.6i 0.948026 1.64203i
\(530\) −5170.59 8955.72i −0.423766 0.733984i
\(531\) 4894.06 + 7483.75i 0.399970 + 0.611614i
\(532\) 17146.1 9460.81i 1.39733 0.771012i
\(533\) 10791.4i 0.876977i
\(534\) −15474.1 + 429.935i −1.25399 + 0.0348410i
\(535\) −1874.40 1082.18i −0.151472 0.0874522i
\(536\) 983.158 + 567.626i 0.0792275 + 0.0457420i
\(537\) 5739.57 159.469i 0.461230 0.0128149i
\(538\) 20585.1i 1.64960i
\(539\) 4538.85 2390.80i 0.362713 0.191056i
\(540\) 389.616 + 4664.70i 0.0310489 + 0.371735i
\(541\) −4421.27 7657.86i −0.351359 0.608571i 0.635129 0.772406i \(-0.280947\pi\)
−0.986488 + 0.163835i \(0.947614\pi\)
\(542\) −8422.35 + 14587.9i −0.667474 + 1.15610i
\(543\) 7957.91 + 12939.7i 0.628926 + 1.02264i
\(544\) 4543.32 2623.08i 0.358076 0.206735i
\(545\) 3896.52 0.306254
\(546\) 197.358 + 23541.0i 0.0154691 + 1.84517i
\(547\) 14918.7 1.16614 0.583068 0.812423i \(-0.301852\pi\)
0.583068 + 0.812423i \(0.301852\pi\)
\(548\) 18158.9 10484.1i 1.41553 0.817256i
\(549\) 26.9366 + 484.374i 0.00209404 + 0.0376550i
\(550\) −716.133 + 1240.38i −0.0555200 + 0.0961635i
\(551\) 14228.7 + 24644.8i 1.10012 + 1.90546i
\(552\) −4361.10 2358.87i −0.336269 0.181885i
\(553\) −1684.27 + 2790.82i −0.129516 + 0.214607i
\(554\) 10622.5i 0.814636i
\(555\) 264.071 + 9504.39i 0.0201967 + 0.726917i
\(556\) −13868.3 8006.84i −1.05781 0.610730i
\(557\) 15459.3 + 8925.46i 1.17600 + 0.678966i 0.955087 0.296327i \(-0.0957618\pi\)
0.220916 + 0.975293i \(0.429095\pi\)
\(558\) −3453.45 + 6831.63i −0.262000 + 0.518290i
\(559\) 3859.05i 0.291987i
\(560\) 6745.23 + 130.830i 0.508996 + 0.00987249i
\(561\) 813.600 1504.19i 0.0612304 0.113203i
\(562\) 5054.03 + 8753.84i 0.379344 + 0.657043i
\(563\) 2584.61 4476.68i 0.193478 0.335114i −0.752922 0.658109i \(-0.771356\pi\)
0.946401 + 0.322995i \(0.104690\pi\)
\(564\) −298.329 + 183.472i −0.0222729 + 0.0136978i
\(565\) −2120.18 + 1224.09i −0.157870 + 0.0911463i
\(566\) 29032.9 2.15609
\(567\) 5651.40 12261.6i 0.418583 0.908179i
\(568\) 2862.38 0.211449
\(569\) −16171.2 + 9336.43i −1.19144 + 0.687880i −0.958634 0.284643i \(-0.908125\pi\)
−0.232809 + 0.972522i \(0.574792\pi\)
\(570\) 13432.8 8261.16i 0.987084 0.607056i
\(571\) 1206.49 2089.71i 0.0884242 0.153155i −0.818421 0.574619i \(-0.805150\pi\)
0.906845 + 0.421464i \(0.138484\pi\)
\(572\) 3186.88 + 5519.84i 0.232955 + 0.403490i
\(573\) 2376.21 4393.15i 0.173242 0.320291i
\(574\) −10263.4 6193.99i −0.746314 0.450404i
\(575\) 4692.83i 0.340356i
\(576\) 4024.39 7961.07i 0.291116 0.575887i
\(577\) −13459.4 7770.80i −0.971097 0.560663i −0.0715262 0.997439i \(-0.522787\pi\)
−0.899570 + 0.436776i \(0.856120\pi\)
\(578\) −14691.7 8482.29i −1.05726 0.610409i
\(579\) 170.531 + 6137.71i 0.0122401 + 0.440543i
\(580\) 5991.95i 0.428969i
\(581\) −5681.64 10297.0i −0.405704 0.735271i
\(582\) −18070.2 9773.97i −1.28700 0.696124i
\(583\) 4037.72 + 6993.53i 0.286836 + 0.496814i
\(584\) 1541.30 2669.61i 0.109211 0.189159i
\(585\) 478.716 + 8608.28i 0.0338333 + 0.608391i
\(586\) 386.302 223.032i 0.0272321 0.0157224i
\(587\) −998.851 −0.0702334 −0.0351167 0.999383i \(-0.511180\pi\)
−0.0351167 + 0.999383i \(0.511180\pi\)
\(588\) 10233.6 + 6059.58i 0.717733 + 0.424988i
\(589\) 11728.2 0.820464
\(590\) −5493.23 + 3171.52i −0.383310 + 0.221304i
\(591\) −10146.2 16497.9i −0.706189 1.14828i
\(592\) 13331.3 23090.4i 0.925526 1.60306i
\(593\) −1608.16 2785.42i −0.111365 0.192889i 0.804956 0.593334i \(-0.202189\pi\)
−0.916321 + 0.400445i \(0.868855\pi\)
\(594\) −669.010 8009.76i −0.0462118 0.553274i
\(595\) 984.433 + 1784.12i 0.0678282 + 0.122927i
\(596\) 5298.50i 0.364153i
\(597\) −13372.3 + 371.538i −0.916738 + 0.0254707i
\(598\) 39768.3 + 22960.3i 2.71948 + 1.57009i
\(599\) −14726.7 8502.49i −1.00454 0.579970i −0.0949504 0.995482i \(-0.530269\pi\)
−0.909588 + 0.415512i \(0.863603\pi\)
\(600\) 660.084 18.3398i 0.0449130 0.00124787i
\(601\) 19431.1i 1.31882i 0.751782 + 0.659412i \(0.229195\pi\)
−0.751782 + 0.659412i \(0.770805\pi\)
\(602\) 3670.21 + 2214.99i 0.248483 + 0.149961i
\(603\) 3300.27 + 5046.60i 0.222881 + 0.340818i
\(604\) 1927.49 + 3338.51i 0.129848 + 0.224904i
\(605\) −2768.27 + 4794.79i −0.186027 + 0.322208i
\(606\) 344.694 + 560.478i 0.0231060 + 0.0375707i
\(607\) −6767.31 + 3907.11i −0.452515 + 0.261260i −0.708892 0.705317i \(-0.750805\pi\)
0.256377 + 0.966577i \(0.417471\pi\)
\(608\) −37777.8 −2.51989
\(609\) −8515.52 + 15039.1i −0.566611 + 1.00068i
\(610\) −344.125 −0.0228413
\(611\) −558.650 + 322.537i −0.0369894 + 0.0213559i
\(612\) 3958.52 220.138i 0.261460 0.0145401i
\(613\) −9304.17 + 16115.3i −0.613038 + 1.06181i 0.377688 + 0.925933i \(0.376719\pi\)
−0.990725 + 0.135879i \(0.956614\pi\)
\(614\) −15102.7 26158.6i −0.992663 1.71934i
\(615\) −3861.46 2088.63i −0.253186 0.136946i
\(616\) −1407.78 27.3053i −0.0920797 0.00178598i
\(617\) 25699.5i 1.67686i −0.545011 0.838429i \(-0.683475\pi\)
0.545011 0.838429i \(-0.316525\pi\)
\(618\) −520.111 18719.8i −0.0338543 1.21848i
\(619\) 2647.00 + 1528.25i 0.171877 + 0.0992334i 0.583471 0.812134i \(-0.301694\pi\)
−0.411593 + 0.911368i \(0.635028\pi\)
\(620\) −2138.63 1234.74i −0.138531 0.0799811i
\(621\) −15020.4 21632.0i −0.970606 1.39785i
\(622\) 37744.4i 2.43314i
\(623\) −7442.50 + 12332.1i −0.478615 + 0.793060i
\(624\) 11502.2 21265.3i 0.737909 1.36425i
\(625\) −312.500 541.266i −0.0200000 0.0346410i
\(626\) −9250.04 + 16021.5i −0.590585 + 1.02292i
\(627\) −10489.7 + 6451.15i −0.668130 + 0.410900i
\(628\) −8198.51 + 4733.41i −0.520949 + 0.300770i
\(629\) 8053.06 0.510488
\(630\) 8461.82 + 4485.63i 0.535122 + 0.283669i
\(631\) 4012.52 0.253147 0.126574 0.991957i \(-0.459602\pi\)
0.126574 + 0.991957i \(0.459602\pi\)
\(632\) 774.822 447.344i 0.0487670 0.0281557i
\(633\) −5798.48 + 3566.06i −0.364090 + 0.223915i
\(634\) 3300.74 5717.04i 0.206765 0.358127i
\(635\) −1088.06 1884.57i −0.0679971 0.117774i
\(636\) −8906.85 + 16467.0i −0.555314 + 1.02667i
\(637\) 18531.5 + 11680.0i 1.15266 + 0.726496i
\(638\) 10288.8i 0.638458i
\(639\) 13568.5 + 6858.99i 0.840002 + 0.424628i
\(640\) −2778.68 1604.27i −0.171620 0.0990850i
\(641\) −15938.5 9202.09i −0.982110 0.567021i −0.0792033 0.996858i \(-0.525238\pi\)
−0.902906 + 0.429837i \(0.858571\pi\)
\(642\) 239.293 + 8612.60i 0.0147105 + 0.529458i
\(643\) 18685.2i 1.14599i 0.819558 + 0.572996i \(0.194219\pi\)
−0.819558 + 0.572996i \(0.805781\pi\)
\(644\) 20311.7 11207.5i 1.24284 0.685771i
\(645\) 1380.87 + 746.900i 0.0842974 + 0.0455956i
\(646\) −6678.30 11567.2i −0.406740 0.704495i
\(647\) −106.007 + 183.609i −0.00644134 + 0.0111567i −0.869228 0.494411i \(-0.835384\pi\)
0.862787 + 0.505568i \(0.168717\pi\)
\(648\) −2984.01 + 2197.27i −0.180900 + 0.133205i
\(649\) 4289.67 2476.64i 0.259452 0.149795i
\(650\) −6115.78 −0.369047
\(651\) 3612.94 + 6138.38i 0.217515 + 0.369558i
\(652\) 14154.7 0.850216
\(653\) −888.276 + 512.847i −0.0532327 + 0.0307339i −0.526380 0.850249i \(-0.676451\pi\)
0.473147 + 0.880983i \(0.343118\pi\)
\(654\) −8125.72 13212.6i −0.485842 0.789988i
\(655\) 84.8790 147.015i 0.00506335 0.00876998i
\(656\) 6155.41 + 10661.5i 0.366354 + 0.634544i
\(657\) 13703.2 8961.34i 0.813720 0.532139i
\(658\) −13.8961 + 716.440i −0.000823291 + 0.0424464i
\(659\) 16866.8i 0.997024i −0.866883 0.498512i \(-0.833880\pi\)
0.866883 0.498512i \(-0.166120\pi\)
\(660\) 2591.95 72.0151i 0.152866 0.00424725i
\(661\) 1890.14 + 1091.27i 0.111222 + 0.0642141i 0.554579 0.832131i \(-0.312879\pi\)
−0.443357 + 0.896345i \(0.646213\pi\)
\(662\) 19624.2 + 11330.0i 1.15214 + 0.665188i
\(663\) 7299.43 202.808i 0.427581 0.0118800i
\(664\) 3227.93i 0.188656i
\(665\) 284.553 14670.7i 0.0165932 0.855497i
\(666\) 31677.4 20715.7i 1.84306 1.20528i
\(667\) 16855.6 + 29194.8i 0.978489 + 1.69479i
\(668\) 7668.14 13281.6i 0.444146 0.769283i
\(669\) 4041.13 + 6570.94i 0.233541 + 0.379742i
\(670\) −3704.31 + 2138.68i −0.213597 + 0.123320i
\(671\) 268.728 0.0154607
\(672\) −11637.7 19772.3i −0.668054 1.13502i
\(673\) 15734.2 0.901203 0.450601 0.892725i \(-0.351210\pi\)
0.450601 + 0.892725i \(0.351210\pi\)
\(674\) −33523.9 + 19355.0i −1.91586 + 1.10612i
\(675\) 3172.93 + 1494.79i 0.180928 + 0.0852364i
\(676\) −6277.77 + 10873.4i −0.357178 + 0.618651i
\(677\) 12363.2 + 21413.8i 0.701858 + 1.21565i 0.967813 + 0.251669i \(0.0809793\pi\)
−0.265955 + 0.963985i \(0.585687\pi\)
\(678\) 8572.09 + 4636.56i 0.485559 + 0.262634i
\(679\) −16737.1 + 9235.10i −0.945964 + 0.521960i
\(680\) 559.289i 0.0315408i
\(681\) 400.555 + 14416.7i 0.0225394 + 0.811232i
\(682\) 3672.24 + 2120.17i 0.206184 + 0.119040i
\(683\) −561.677 324.284i −0.0314670 0.0181675i 0.484184 0.874966i \(-0.339117\pi\)
−0.515651 + 0.856799i \(0.672450\pi\)
\(684\) −25479.0 12879.9i −1.42429 0.719991i
\(685\) 15711.3i 0.876345i
\(686\) 21745.0 10920.7i 1.21025 0.607803i
\(687\) −9302.73 + 17198.9i −0.516625 + 0.955139i
\(688\) −2201.20 3812.58i −0.121976 0.211269i
\(689\) −17241.1 + 29862.4i −0.953313 + 1.65119i
\(690\) 15912.8 9786.34i 0.877954 0.539942i
\(691\) 5917.06 3416.22i 0.325754 0.188074i −0.328201 0.944608i \(-0.606442\pi\)
0.653954 + 0.756534i \(0.273109\pi\)
\(692\) −8038.92 −0.441610
\(693\) −6607.84 3502.83i −0.362209 0.192008i
\(694\) 33289.7 1.82084
\(695\) −10391.4 + 5999.47i −0.567148 + 0.327443i
\(696\) 4040.61 2484.97i 0.220056 0.135334i
\(697\) −1859.16 + 3220.16i −0.101034 + 0.174996i
\(698\) 2737.33 + 4741.20i 0.148438 + 0.257102i
\(699\) 8940.59 16529.4i 0.483783 0.894421i
\(700\) −1596.41 + 2645.23i −0.0861979 + 0.142829i
\(701\) 18697.9i 1.00743i 0.863869 + 0.503717i \(0.168035\pi\)
−0.863869 + 0.503717i \(0.831965\pi\)
\(702\) 28191.2 19574.8i 1.51568 1.05243i
\(703\) −50221.1 28995.2i −2.69434 1.55558i
\(704\) −4279.35 2470.69i −0.229097 0.132269i
\(705\) 7.28847 + 262.325i 0.000389361 + 0.0140138i
\(706\) 31659.2i 1.68769i
\(707\) 612.130 + 11.8729i 0.0325622 + 0.000631577i
\(708\) 10100.5 + 5463.25i 0.536158 + 0.290002i
\(709\) −6566.08 11372.8i −0.347806 0.602417i 0.638054 0.769992i \(-0.279740\pi\)
−0.985859 + 0.167575i \(0.946406\pi\)
\(710\) −5392.40 + 9339.91i −0.285032 + 0.493691i
\(711\) 4744.82 263.865i 0.250274 0.0139180i
\(712\) 3423.80 1976.73i 0.180214 0.104047i
\(713\) 13893.5 0.729755
\(714\) 3996.79 7058.65i 0.209490 0.369976i
\(715\) 4775.82 0.249798
\(716\) 6385.77 3686.83i 0.333307 0.192435i
\(717\) 12836.1 + 20871.7i 0.668582 + 1.08713i
\(718\) −566.745 + 981.631i −0.0294578 + 0.0510225i
\(719\) −9575.52 16585.3i −0.496671 0.860259i 0.503322 0.864099i \(-0.332111\pi\)
−0.999993 + 0.00383968i \(0.998778\pi\)
\(720\) −5383.10 8231.57i −0.278634 0.426073i
\(721\) −14918.7 9003.53i −0.770600 0.465061i
\(722\) 69907.6i 3.60345i
\(723\) 37970.6 1054.98i 1.95317 0.0542671i
\(724\) 16894.7 + 9754.17i 0.867248 + 0.500706i
\(725\) −3888.22 2244.86i −0.199179 0.114996i
\(726\) 22031.4 612.122i 1.12626 0.0312920i
\(727\) 21313.6i 1.08731i −0.839307 0.543657i \(-0.817039\pi\)
0.839307 0.543657i \(-0.182961\pi\)
\(728\) −2904.64 5264.17i −0.147875 0.267999i
\(729\) −19410.3 + 3265.24i −0.986144 + 0.165891i
\(730\) 5807.25 + 10058.5i 0.294433 + 0.509973i
\(731\) 664.842 1151.54i 0.0336390 0.0582644i
\(732\) 326.364 + 530.674i 0.0164792 + 0.0267955i
\(733\) 15935.6 9200.45i 0.802996 0.463610i −0.0415215 0.999138i \(-0.513221\pi\)
0.844518 + 0.535528i \(0.179887\pi\)
\(734\) 10493.2 0.527672
\(735\) 7766.09 4370.46i 0.389737 0.219329i
\(736\) −44752.4 −2.24130
\(737\) 2892.70 1670.10i 0.144578 0.0834721i
\(738\) 970.374 + 17449.3i 0.0484010 + 0.870348i
\(739\) 1609.97 2788.55i 0.0801404 0.138807i −0.823170 0.567795i \(-0.807796\pi\)
0.903310 + 0.428988i \(0.141130\pi\)
\(740\) 6105.17 + 10574.5i 0.303285 + 0.525304i
\(741\) −46251.4 25016.9i −2.29297 1.24024i
\(742\) 18505.2 + 33537.6i 0.915564 + 1.65931i
\(743\) 36940.2i 1.82396i −0.410229 0.911982i \(-0.634551\pi\)
0.410229 0.911982i \(-0.365449\pi\)
\(744\) −54.2965 1954.23i −0.00267555 0.0962978i
\(745\) −3438.24 1985.07i −0.169084 0.0976204i
\(746\) −24277.4 14016.6i −1.19150 0.687913i
\(747\) −7734.93 + 15301.3i −0.378857 + 0.749457i
\(748\) 2196.16i 0.107352i
\(749\) 6863.83 + 4142.35i 0.334845 + 0.202080i
\(750\) −1183.68 + 2188.39i −0.0576291 + 0.106545i
\(751\) 568.670 + 984.966i 0.0276313 + 0.0478587i 0.879510 0.475880i \(-0.157870\pi\)
−0.851879 + 0.523738i \(0.824537\pi\)
\(752\) 367.949 637.306i 0.0178427 0.0309044i
\(753\) 12468.4 7668.08i 0.603420 0.371103i
\(754\) −38047.2 + 21966.6i −1.83766 + 1.06097i
\(755\) 2888.51 0.139236
\(756\) −1107.82 17303.0i −0.0532950 0.832415i
\(757\) −24998.2 −1.20023 −0.600117 0.799912i \(-0.704879\pi\)
−0.600117 + 0.799912i \(0.704879\pi\)
\(758\) −20618.8 + 11904.2i −0.988004 + 0.570424i
\(759\) −12426.3 + 7642.17i −0.594263 + 0.365472i
\(760\) −2013.73 + 3487.88i −0.0961125 + 0.166472i
\(761\) 16387.5 + 28383.9i 0.780611 + 1.35206i 0.931586 + 0.363520i \(0.118425\pi\)
−0.150976 + 0.988537i \(0.548242\pi\)
\(762\) −4121.30 + 7619.49i −0.195931 + 0.362238i
\(763\) −14430.2 279.888i −0.684676 0.0132800i
\(764\) 6414.14i 0.303737i
\(765\) 1340.20 2651.18i 0.0633398 0.125299i
\(766\) −22457.5 12965.9i −1.05930 0.611587i
\(767\) 18316.9 + 10575.3i 0.862301 + 0.497850i
\(768\) 736.175 + 26496.3i 0.0345891 + 1.24492i
\(769\) 15999.0i 0.750244i 0.926976 + 0.375122i \(0.122399\pi\)
−0.926976 + 0.375122i \(0.877601\pi\)
\(770\) 2741.19 4542.12i 0.128293 0.212580i
\(771\) 14474.3 + 7829.03i 0.676110 + 0.365701i
\(772\) 3942.58 +