Properties

Label 43.5.h.a.5.1
Level 43
Weight 5
Character 43.5
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 43.5
Dual form 43.5.h.a.26.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.99583 - 1.59675i) q^{2} +(1.41459 - 4.58598i) q^{3} +(31.9766 + 15.3991i) q^{4} +(-39.9449 + 15.6772i) q^{5} +(-17.2189 + 29.8240i) q^{6} +(11.2347 - 6.48633i) q^{7} +(-109.351 - 87.2042i) q^{8} +(47.8952 + 32.6544i) q^{9} +O(q^{10})\) \(q+(-6.99583 - 1.59675i) q^{2} +(1.41459 - 4.58598i) q^{3} +(31.9766 + 15.3991i) q^{4} +(-39.9449 + 15.6772i) q^{5} +(-17.2189 + 29.8240i) q^{6} +(11.2347 - 6.48633i) q^{7} +(-109.351 - 87.2042i) q^{8} +(47.8952 + 32.6544i) q^{9} +(304.481 - 45.8931i) q^{10} +(95.9073 - 46.1865i) q^{11} +(115.854 - 124.860i) q^{12} +(105.668 + 15.9269i) q^{13} +(-88.9529 + 27.4383i) q^{14} +(15.3899 + 205.363i) q^{15} +(271.699 + 340.700i) q^{16} +(143.781 - 366.348i) q^{17} +(-282.926 - 304.921i) q^{18} +(212.984 + 312.390i) q^{19} +(-1518.72 - 113.812i) q^{20} +(-13.8538 - 60.6974i) q^{21} +(-744.700 + 169.973i) q^{22} +(-61.9154 + 826.204i) q^{23} +(-554.602 + 378.122i) q^{24} +(891.665 - 827.344i) q^{25} +(-713.804 - 280.147i) q^{26} +(521.429 - 415.826i) q^{27} +(459.129 - 34.4070i) q^{28} +(353.746 + 1146.82i) q^{29} +(220.250 - 1461.26i) q^{30} +(363.712 + 337.476i) q^{31} +(-385.789 - 801.099i) q^{32} +(-76.1412 - 505.164i) q^{33} +(-1590.83 + 2333.33i) q^{34} +(-347.080 + 435.225i) q^{35} +(1028.68 + 1781.72i) q^{36} +(-1395.27 - 805.559i) q^{37} +(-991.190 - 2525.51i) q^{38} +(222.517 - 462.061i) q^{39} +(5735.12 + 1769.05i) q^{40} +(108.422 - 475.026i) q^{41} +446.750i q^{42} +(1839.89 - 183.341i) q^{43} +3778.01 q^{44} +(-2425.10 - 553.513i) q^{45} +(1752.39 - 5681.12i) q^{46} +(-692.962 - 333.713i) q^{47} +(1946.79 - 764.057i) q^{48} +(-1116.35 + 1933.58i) q^{49} +(-7559.00 + 4364.19i) q^{50} +(-1476.67 - 1177.61i) q^{51} +(3133.64 + 2136.48i) q^{52} +(4423.84 - 666.786i) q^{53} +(-4311.80 + 2076.46i) q^{54} +(-3106.93 + 3348.48i) q^{55} +(-1794.15 - 270.425i) q^{56} +(1733.90 - 534.837i) q^{57} +(-643.565 - 8587.78i) q^{58} +(-179.285 - 224.816i) q^{59} +(-2670.30 + 6803.81i) q^{60} +(3223.57 + 3474.18i) q^{61} +(-2005.61 - 2941.68i) q^{62} +(749.893 + 56.1967i) q^{63} +(-131.736 - 577.172i) q^{64} +(-4470.59 + 1020.38i) q^{65} +(-273.951 + 3655.62i) q^{66} +(-3292.50 + 2244.79i) q^{67} +(10239.0 - 9500.45i) q^{68} +(3701.37 + 1452.68i) q^{69} +(3123.06 - 2490.56i) q^{70} +(3143.66 - 235.585i) q^{71} +(-2389.77 - 7747.43i) q^{72} +(640.305 - 4248.15i) q^{73} +(8474.79 + 7863.46i) q^{74} +(-2532.84 - 5259.51i) q^{75} +(1999.97 + 13268.9i) q^{76} +(777.904 - 1140.98i) q^{77} +(-2294.49 + 2877.20i) q^{78} +(-4958.92 - 8589.10i) q^{79} +(-16194.2 - 9349.75i) q^{80} +(546.055 + 1391.32i) q^{81} +(-1517.00 + 3150.08i) q^{82} +(-3515.58 - 1084.41i) q^{83} +(491.689 - 2154.23i) q^{84} +16887.8i q^{85} +(-13164.3 - 1655.22i) q^{86} +5759.68 q^{87} +(-14515.2 - 3312.99i) q^{88} +(1486.36 - 4818.65i) q^{89} +(16081.8 + 7744.57i) q^{90} +(1290.45 - 506.464i) q^{91} +(-14702.6 + 25465.7i) q^{92} +(2062.16 - 1190.59i) q^{93} +(4314.99 + 3441.09i) q^{94} +(-13405.0 - 9139.40i) q^{95} +(-4219.56 + 635.996i) q^{96} +(5868.18 - 2825.97i) q^{97} +(10897.3 - 11744.5i) q^{98} +(6101.69 + 919.681i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.99583 1.59675i −1.74896 0.399188i −0.776104 0.630605i \(-0.782807\pi\)
−0.972855 + 0.231417i \(0.925664\pi\)
\(3\) 1.41459 4.58598i 0.157176 0.509553i −0.842394 0.538862i \(-0.818854\pi\)
0.999570 + 0.0293087i \(0.00933060\pi\)
\(4\) 31.9766 + 15.3991i 1.99853 + 0.962444i
\(5\) −39.9449 + 15.6772i −1.59780 + 0.627089i −0.986419 0.164249i \(-0.947480\pi\)
−0.611378 + 0.791338i \(0.709385\pi\)
\(6\) −17.2189 + 29.8240i −0.478303 + 0.828445i
\(7\) 11.2347 6.48633i 0.229279 0.132374i −0.380961 0.924591i \(-0.624407\pi\)
0.610239 + 0.792217i \(0.291073\pi\)
\(8\) −109.351 87.2042i −1.70860 1.36256i
\(9\) 47.8952 + 32.6544i 0.591299 + 0.403141i
\(10\) 304.481 45.8931i 3.04481 0.458931i
\(11\) 95.9073 46.1865i 0.792622 0.381707i 0.00665713 0.999978i \(-0.497881\pi\)
0.785965 + 0.618271i \(0.212167\pi\)
\(12\) 115.854 124.860i 0.804539 0.867087i
\(13\) 105.668 + 15.9269i 0.625254 + 0.0942419i 0.454024 0.890989i \(-0.349988\pi\)
0.171230 + 0.985231i \(0.445226\pi\)
\(14\) −88.9529 + 27.4383i −0.453841 + 0.139991i
\(15\) 15.3899 + 205.363i 0.0683994 + 0.912727i
\(16\) 271.699 + 340.700i 1.06133 + 1.33086i
\(17\) 143.781 366.348i 0.497512 1.26764i −0.433005 0.901391i \(-0.642547\pi\)
0.930517 0.366248i \(-0.119358\pi\)
\(18\) −282.926 304.921i −0.873228 0.941116i
\(19\) 212.984 + 312.390i 0.589983 + 0.865346i 0.998884 0.0472327i \(-0.0150402\pi\)
−0.408901 + 0.912579i \(0.634088\pi\)
\(20\) −1518.72 113.812i −3.79679 0.284530i
\(21\) −13.8538 60.6974i −0.0314145 0.137636i
\(22\) −744.700 + 169.973i −1.53864 + 0.351184i
\(23\) −61.9154 + 826.204i −0.117042 + 1.56182i 0.561635 + 0.827385i \(0.310172\pi\)
−0.678678 + 0.734436i \(0.737447\pi\)
\(24\) −554.602 + 378.122i −0.962851 + 0.656461i
\(25\) 891.665 827.344i 1.42666 1.32375i
\(26\) −713.804 280.147i −1.05592 0.414419i
\(27\) 521.429 415.826i 0.715267 0.570406i
\(28\) 459.129 34.4070i 0.585624 0.0438865i
\(29\) 353.746 + 1146.82i 0.420625 + 1.36363i 0.879824 + 0.475300i \(0.157661\pi\)
−0.459198 + 0.888334i \(0.651863\pi\)
\(30\) 220.250 1461.26i 0.244722 1.62362i
\(31\) 363.712 + 337.476i 0.378473 + 0.351171i 0.846355 0.532619i \(-0.178792\pi\)
−0.467882 + 0.883791i \(0.654983\pi\)
\(32\) −385.789 801.099i −0.376747 0.782323i
\(33\) −76.1412 505.164i −0.0699184 0.463878i
\(34\) −1590.83 + 2333.33i −1.37615 + 2.01845i
\(35\) −347.080 + 435.225i −0.283331 + 0.355285i
\(36\) 1028.68 + 1781.72i 0.793731 + 1.37478i
\(37\) −1395.27 805.559i −1.01919 0.588429i −0.105320 0.994438i \(-0.533587\pi\)
−0.913869 + 0.406009i \(0.866920\pi\)
\(38\) −991.190 2525.51i −0.686420 1.74897i
\(39\) 222.517 462.061i 0.146296 0.303788i
\(40\) 5735.12 + 1769.05i 3.58445 + 1.10566i
\(41\) 108.422 475.026i 0.0644983 0.282585i −0.932386 0.361464i \(-0.882277\pi\)
0.996884 + 0.0788790i \(0.0251341\pi\)
\(42\) 446.750i 0.253260i
\(43\) 1839.89 183.341i 0.995072 0.0991568i
\(44\) 3778.01 1.95145
\(45\) −2425.10 553.513i −1.19758 0.273340i
\(46\) 1752.39 5681.12i 0.828163 2.68484i
\(47\) −692.962 333.713i −0.313699 0.151070i 0.270409 0.962746i \(-0.412841\pi\)
−0.584108 + 0.811676i \(0.698556\pi\)
\(48\) 1946.79 764.057i 0.844959 0.331622i
\(49\) −1116.35 + 1933.58i −0.464954 + 0.805324i
\(50\) −7559.00 + 4364.19i −3.02360 + 1.74568i
\(51\) −1476.67 1177.61i −0.567733 0.452752i
\(52\) 3133.64 + 2136.48i 1.15889 + 0.790117i
\(53\) 4423.84 666.786i 1.57488 0.237375i 0.697291 0.716789i \(-0.254389\pi\)
0.877589 + 0.479414i \(0.159151\pi\)
\(54\) −4311.80 + 2076.46i −1.47867 + 0.712090i
\(55\) −3106.93 + 3348.48i −1.02709 + 1.10693i
\(56\) −1794.15 270.425i −0.572115 0.0862324i
\(57\) 1733.90 534.837i 0.533671 0.164616i
\(58\) −643.565 8587.78i −0.191309 2.55285i
\(59\) −179.285 224.816i −0.0515038 0.0645837i 0.755412 0.655250i \(-0.227437\pi\)
−0.806916 + 0.590666i \(0.798865\pi\)
\(60\) −2670.30 + 6803.81i −0.741749 + 1.88995i
\(61\) 3223.57 + 3474.18i 0.866319 + 0.933670i 0.998341 0.0575772i \(-0.0183375\pi\)
−0.132022 + 0.991247i \(0.542147\pi\)
\(62\) −2005.61 2941.68i −0.521750 0.765266i
\(63\) 749.893 + 56.1967i 0.188938 + 0.0141589i
\(64\) −131.736 577.172i −0.0321620 0.140911i
\(65\) −4470.59 + 1020.38i −1.05813 + 0.241511i
\(66\) −273.951 + 3655.62i −0.0628904 + 0.839215i
\(67\) −3292.50 + 2244.79i −0.733459 + 0.500064i −0.871520 0.490360i \(-0.836865\pi\)
0.138061 + 0.990424i \(0.455913\pi\)
\(68\) 10239.0 9500.45i 2.21433 2.05460i
\(69\) 3701.37 + 1452.68i 0.777435 + 0.305121i
\(70\) 3123.06 2490.56i 0.637359 0.508277i
\(71\) 3143.66 235.585i 0.623619 0.0467338i 0.240826 0.970568i \(-0.422582\pi\)
0.382792 + 0.923834i \(0.374963\pi\)
\(72\) −2389.77 7747.43i −0.460989 1.49449i
\(73\) 640.305 4248.15i 0.120155 0.797175i −0.844861 0.534985i \(-0.820317\pi\)
0.965016 0.262190i \(-0.0844448\pi\)
\(74\) 8474.79 + 7863.46i 1.54763 + 1.43599i
\(75\) −2532.84 5259.51i −0.450284 0.935023i
\(76\) 1999.97 + 13268.9i 0.346255 + 2.29725i
\(77\) 777.904 1140.98i 0.131203 0.192440i
\(78\) −2294.49 + 2877.20i −0.377135 + 0.472912i
\(79\) −4958.92 8589.10i −0.794571 1.37624i −0.923111 0.384533i \(-0.874362\pi\)
0.128540 0.991704i \(-0.458971\pi\)
\(80\) −16194.2 9349.75i −2.53035 1.46090i
\(81\) 546.055 + 1391.32i 0.0832274 + 0.212060i
\(82\) −1517.00 + 3150.08i −0.225610 + 0.468483i
\(83\) −3515.58 1084.41i −0.510318 0.157412i 0.0288939 0.999582i \(-0.490801\pi\)
−0.539212 + 0.842170i \(0.681278\pi\)
\(84\) 491.689 2154.23i 0.0696838 0.305305i
\(85\) 16887.8i 2.33742i
\(86\) −13164.3 1655.22i −1.77992 0.223800i
\(87\) 5759.68 0.760956
\(88\) −14515.2 3312.99i −1.87438 0.427814i
\(89\) 1486.36 4818.65i 0.187648 0.608338i −0.812046 0.583593i \(-0.801646\pi\)
0.999694 0.0247453i \(-0.00787749\pi\)
\(90\) 16081.8 + 7744.57i 1.98540 + 0.956120i
\(91\) 1290.45 506.464i 0.155833 0.0611598i
\(92\) −14702.6 + 25465.7i −1.73708 + 3.00871i
\(93\) 2062.16 1190.59i 0.238428 0.137656i
\(94\) 4314.99 + 3441.09i 0.488342 + 0.389440i
\(95\) −13405.0 9139.40i −1.48532 1.01268i
\(96\) −4219.56 + 635.996i −0.457851 + 0.0690099i
\(97\) 5868.18 2825.97i 0.623677 0.300347i −0.0952277 0.995456i \(-0.530358\pi\)
0.718905 + 0.695108i \(0.244644\pi\)
\(98\) 10897.3 11744.5i 1.13466 1.22287i
\(99\) 6101.69 + 919.681i 0.622558 + 0.0938355i
\(100\) 41252.7 12724.8i 4.12527 1.27248i
\(101\) −327.403 4368.89i −0.0320952 0.428280i −0.989988 0.141153i \(-0.954919\pi\)
0.957893 0.287127i \(-0.0927001\pi\)
\(102\) 8450.21 + 10596.2i 0.812208 + 1.01848i
\(103\) 1073.08 2734.16i 0.101148 0.257721i −0.871338 0.490684i \(-0.836747\pi\)
0.972486 + 0.232963i \(0.0748422\pi\)
\(104\) −10166.0 10956.3i −0.939900 1.01297i
\(105\) 1504.96 + 2207.37i 0.136504 + 0.200215i
\(106\) −32013.1 2399.05i −2.84916 0.213515i
\(107\) 2761.92 + 12100.8i 0.241237 + 1.05693i 0.939892 + 0.341471i \(0.110925\pi\)
−0.698655 + 0.715458i \(0.746218\pi\)
\(108\) 23076.9 5267.14i 1.97847 0.451573i
\(109\) −1167.07 + 15573.4i −0.0982298 + 1.31078i 0.702468 + 0.711716i \(0.252082\pi\)
−0.800697 + 0.599069i \(0.795537\pi\)
\(110\) 27082.3 18464.4i 2.23820 1.52598i
\(111\) −5668.01 + 5259.14i −0.460028 + 0.426844i
\(112\) 5262.34 + 2065.32i 0.419511 + 0.164646i
\(113\) 2279.50 1817.84i 0.178518 0.142363i −0.530154 0.847901i \(-0.677866\pi\)
0.708672 + 0.705538i \(0.249295\pi\)
\(114\) −12984.1 + 973.021i −0.999082 + 0.0748708i
\(115\) −10479.4 33973.3i −0.792391 2.56887i
\(116\) −6348.36 + 42118.6i −0.471786 + 3.13010i
\(117\) 4540.90 + 4213.34i 0.331719 + 0.307790i
\(118\) 895.270 + 1859.05i 0.0642969 + 0.133514i
\(119\) −760.925 5048.41i −0.0537338 0.356501i
\(120\) 16225.7 23798.7i 1.12678 1.65269i
\(121\) −2063.51 + 2587.55i −0.140940 + 0.176733i
\(122\) −17004.2 29452.1i −1.14245 1.97877i
\(123\) −2025.09 1169.19i −0.133855 0.0772811i
\(124\) 6433.45 + 16392.2i 0.418408 + 1.06609i
\(125\) −11010.5 + 22863.5i −0.704670 + 1.46326i
\(126\) −5156.40 1590.54i −0.324792 0.100185i
\(127\) 1544.45 6766.69i 0.0957563 0.419536i −0.904215 0.427077i \(-0.859543\pi\)
0.999972 + 0.00754127i \(0.00240048\pi\)
\(128\) 18474.6i 1.12760i
\(129\) 1761.88 8697.04i 0.105876 0.522627i
\(130\) 32904.8 1.94703
\(131\) 18703.0 + 4268.84i 1.08985 + 0.248752i 0.729443 0.684041i \(-0.239779\pi\)
0.360411 + 0.932794i \(0.382636\pi\)
\(132\) 5344.33 17325.9i 0.306722 0.994370i
\(133\) 4419.07 + 2128.11i 0.249820 + 0.120307i
\(134\) 26618.1 10446.8i 1.48241 0.581803i
\(135\) −14309.5 + 24784.7i −0.785156 + 1.35993i
\(136\) −47669.6 + 27522.0i −2.57729 + 1.48800i
\(137\) −1047.81 835.604i −0.0558269 0.0445204i 0.595179 0.803593i \(-0.297081\pi\)
−0.651006 + 0.759073i \(0.725653\pi\)
\(138\) −23574.6 16072.9i −1.23790 0.843986i
\(139\) −19108.0 + 2880.07i −0.988975 + 0.149064i −0.623556 0.781779i \(-0.714313\pi\)
−0.365419 + 0.930843i \(0.619074\pi\)
\(140\) −17800.5 + 8572.26i −0.908188 + 0.437360i
\(141\) −2510.66 + 2705.84i −0.126284 + 0.136102i
\(142\) −22368.7 3371.54i −1.10934 0.167206i
\(143\) 10869.9 3352.93i 0.531563 0.163965i
\(144\) 1887.73 + 25190.1i 0.0910366 + 1.21480i
\(145\) −32109.3 40263.7i −1.52719 1.91504i
\(146\) −11262.7 + 28696.9i −0.528369 + 1.34626i
\(147\) 7288.19 + 7854.80i 0.337276 + 0.363497i
\(148\) −32211.0 47244.9i −1.47055 2.15691i
\(149\) 2773.37 + 207.835i 0.124921 + 0.00936152i 0.137044 0.990565i \(-0.456240\pi\)
−0.0121229 + 0.999927i \(0.503859\pi\)
\(150\) 9321.23 + 40839.0i 0.414277 + 1.81506i
\(151\) −23131.6 + 5279.63i −1.01450 + 0.231552i −0.697279 0.716800i \(-0.745606\pi\)
−0.317219 + 0.948352i \(0.602749\pi\)
\(152\) 3951.80 52733.1i 0.171044 2.28242i
\(153\) 18849.3 12851.2i 0.805215 0.548986i
\(154\) −7263.95 + 6739.96i −0.306289 + 0.284195i
\(155\) −19819.2 7778.45i −0.824939 0.323765i
\(156\) 14230.6 11348.6i 0.584757 0.466328i
\(157\) −14473.3 + 1084.62i −0.587176 + 0.0440027i −0.365006 0.931005i \(-0.618933\pi\)
−0.222170 + 0.975008i \(0.571314\pi\)
\(158\) 20977.1 + 68006.1i 0.840294 + 2.72417i
\(159\) 3200.04 21230.9i 0.126579 0.839795i
\(160\) 27969.3 + 25951.7i 1.09255 + 1.01374i
\(161\) 4663.43 + 9683.72i 0.179909 + 0.373586i
\(162\) −1598.51 10605.4i −0.0609094 0.404107i
\(163\) −4243.32 + 6223.81i −0.159709 + 0.234251i −0.897750 0.440506i \(-0.854799\pi\)
0.738040 + 0.674757i \(0.235751\pi\)
\(164\) 10781.9 13520.1i 0.400875 0.502681i
\(165\) 10961.0 + 18985.0i 0.402609 + 0.697339i
\(166\) 22862.9 + 13199.9i 0.829687 + 0.479020i
\(167\) 4125.09 + 10510.6i 0.147911 + 0.376871i 0.985557 0.169342i \(-0.0541641\pi\)
−0.837646 + 0.546213i \(0.816069\pi\)
\(168\) −3778.15 + 7845.40i −0.133863 + 0.277969i
\(169\) −16380.1 5052.58i −0.573512 0.176905i
\(170\) 26965.7 118144.i 0.933069 4.08804i
\(171\) 21916.8i 0.749524i
\(172\) 61656.6 + 22470.0i 2.08412 + 0.759532i
\(173\) 20445.4 0.683130 0.341565 0.939858i \(-0.389043\pi\)
0.341565 + 0.939858i \(0.389043\pi\)
\(174\) −40293.8 9196.79i −1.33088 0.303765i
\(175\) 4651.12 15078.6i 0.151873 0.492361i
\(176\) 41793.7 + 20126.8i 1.34923 + 0.649754i
\(177\) −1284.62 + 504.174i −0.0410040 + 0.0160929i
\(178\) −18092.5 + 31337.1i −0.571029 + 0.989052i
\(179\) 17597.8 10160.1i 0.549227 0.317096i −0.199583 0.979881i \(-0.563959\pi\)
0.748810 + 0.662785i \(0.230626\pi\)
\(180\) −69022.8 55043.8i −2.13033 1.69888i
\(181\) 34550.0 + 23555.8i 1.05461 + 0.719020i 0.960989 0.276588i \(-0.0892038\pi\)
0.0936200 + 0.995608i \(0.470156\pi\)
\(182\) −9836.47 + 1482.61i −0.296959 + 0.0447594i
\(183\) 20492.6 9868.70i 0.611919 0.294685i
\(184\) 78818.9 84946.5i 2.32806 2.50905i
\(185\) 68362.9 + 10304.0i 1.99745 + 0.301068i
\(186\) −16327.6 + 5036.40i −0.471951 + 0.145578i
\(187\) −3130.69 41776.2i −0.0895276 1.19466i
\(188\) −17019.7 21342.0i −0.481543 0.603836i
\(189\) 3160.90 8053.83i 0.0884884 0.225465i
\(190\) 79186.0 + 85342.2i 2.19352 + 2.36405i
\(191\) −3684.34 5403.93i −0.100993 0.148130i 0.772416 0.635117i \(-0.219048\pi\)
−0.873409 + 0.486987i \(0.838096\pi\)
\(192\) −2833.25 212.323i −0.0768568 0.00575962i
\(193\) 9553.42 + 41856.2i 0.256474 + 1.12369i 0.924991 + 0.379990i \(0.124073\pi\)
−0.668516 + 0.743698i \(0.733070\pi\)
\(194\) −45565.2 + 10400.0i −1.21068 + 0.276330i
\(195\) −1644.58 + 21945.4i −0.0432501 + 0.577132i
\(196\) −65472.6 + 44638.5i −1.70431 + 1.16198i
\(197\) −37552.0 + 34843.2i −0.967611 + 0.897812i −0.994803 0.101818i \(-0.967534\pi\)
0.0271917 + 0.999630i \(0.491344\pi\)
\(198\) −41217.9 16176.8i −1.05137 0.412632i
\(199\) 51218.7 40845.6i 1.29337 1.03143i 0.296287 0.955099i \(-0.404252\pi\)
0.997083 0.0763289i \(-0.0243199\pi\)
\(200\) −169652. + 12713.6i −4.24130 + 0.317841i
\(201\) 5637.02 + 18274.8i 0.139527 + 0.452335i
\(202\) −4685.58 + 31086.8i −0.114831 + 0.761856i
\(203\) 11412.8 + 10589.6i 0.276950 + 0.256972i
\(204\) −29084.8 60395.3i −0.698886 1.45125i
\(205\) 3116.20 + 20674.6i 0.0741511 + 0.491960i
\(206\) −11872.8 + 17414.3i −0.279782 + 0.410365i
\(207\) −29944.6 + 37549.4i −0.698841 + 0.876318i
\(208\) 23283.6 + 40328.4i 0.538175 + 0.932146i
\(209\) 34854.9 + 20123.5i 0.797942 + 0.460692i
\(210\) −7003.80 17845.4i −0.158816 0.404658i
\(211\) 29856.9 61998.4i 0.670624 1.39257i −0.236470 0.971639i \(-0.575991\pi\)
0.907094 0.420927i \(-0.138295\pi\)
\(212\) 151727. + 46801.6i 3.37591 + 1.04133i
\(213\) 3366.60 14750.0i 0.0742048 0.325112i
\(214\) 89065.2i 1.94482i
\(215\) −70619.9 + 36167.9i −1.52774 + 0.782431i
\(216\) −93280.3 −1.99932
\(217\) 6275.17 + 1432.27i 0.133262 + 0.0304161i
\(218\) 33031.5 107086.i 0.695050 2.25330i
\(219\) −18576.2 8945.80i −0.387318 0.186522i
\(220\) −150913. + 59228.8i −3.11803 + 1.22374i
\(221\) 21027.8 36421.2i 0.430536 0.745710i
\(222\) 48050.0 27741.7i 0.974962 0.562894i
\(223\) −55346.4 44137.3i −1.11296 0.887556i −0.118530 0.992951i \(-0.537818\pi\)
−0.994430 + 0.105395i \(0.966389\pi\)
\(224\) −9530.40 6497.72i −0.189939 0.129499i
\(225\) 69722.9 10509.0i 1.37724 0.207586i
\(226\) −18849.6 + 9077.49i −0.369050 + 0.177725i
\(227\) −12252.7 + 13205.2i −0.237782 + 0.256268i −0.840657 0.541567i \(-0.817831\pi\)
0.602875 + 0.797835i \(0.294022\pi\)
\(228\) 63680.1 + 9598.23i 1.22499 + 0.184638i
\(229\) 35818.3 11048.5i 0.683021 0.210684i 0.0662224 0.997805i \(-0.478905\pi\)
0.616799 + 0.787121i \(0.288429\pi\)
\(230\) 19065.0 + 254405.i 0.360397 + 4.80916i
\(231\) −4132.08 5181.46i −0.0774363 0.0971021i
\(232\) 61324.8 156253.i 1.13936 2.90304i
\(233\) −61079.6 65828.1i −1.12508 1.21255i −0.974604 0.223937i \(-0.928109\pi\)
−0.150478 0.988613i \(-0.548081\pi\)
\(234\) −25039.7 36726.5i −0.457296 0.670731i
\(235\) 32912.0 + 2466.41i 0.595962 + 0.0446612i
\(236\) −2270.95 9949.66i −0.0407739 0.178642i
\(237\) −46404.3 + 10591.5i −0.826154 + 0.188564i
\(238\) −2737.76 + 36532.8i −0.0483327 + 0.644955i
\(239\) −40441.9 + 27572.8i −0.708003 + 0.482708i −0.862998 0.505207i \(-0.831416\pi\)
0.154995 + 0.987915i \(0.450464\pi\)
\(240\) −65785.9 + 61040.4i −1.14212 + 1.05973i
\(241\) 50226.8 + 19712.6i 0.864772 + 0.339398i 0.755923 0.654660i \(-0.227188\pi\)
0.108849 + 0.994058i \(0.465284\pi\)
\(242\) 18567.6 14807.2i 0.317048 0.252838i
\(243\) 61023.6 4573.08i 1.03344 0.0774456i
\(244\) 49579.4 + 160733.i 0.832764 + 2.69975i
\(245\) 14279.5 94738.2i 0.237892 1.57831i
\(246\) 12300.3 + 11413.0i 0.203257 + 0.188595i
\(247\) 17530.2 + 36401.8i 0.287337 + 0.596662i
\(248\) −10342.9 68620.4i −0.168166 1.11571i
\(249\) −9946.19 + 14588.4i −0.160420 + 0.235293i
\(250\) 113535. 142368.i 1.81656 2.27789i
\(251\) −25683.6 44485.2i −0.407669 0.706104i 0.586959 0.809617i \(-0.300325\pi\)
−0.994628 + 0.103513i \(0.966992\pi\)
\(252\) 23113.6 + 13344.7i 0.363971 + 0.210139i
\(253\) 32221.3 + 82098.6i 0.503387 + 1.28261i
\(254\) −21609.5 + 44872.5i −0.334947 + 0.695526i
\(255\) 77447.3 + 23889.3i 1.19104 + 0.367387i
\(256\) 27391.6 120010.i 0.417963 1.83121i
\(257\) 38530.5i 0.583362i 0.956516 + 0.291681i \(0.0942145\pi\)
−0.956516 + 0.291681i \(0.905785\pi\)
\(258\) −26212.9 + 58029.7i −0.393800 + 0.871789i
\(259\) −20900.5 −0.311571
\(260\) −158667. 36214.7i −2.34714 0.535720i
\(261\) −20505.8 + 66478.3i −0.301021 + 0.975886i
\(262\) −124027. 59728.1i −1.80681 0.870114i
\(263\) −66417.1 + 26066.8i −0.960215 + 0.376856i −0.793107 0.609082i \(-0.791538\pi\)
−0.167107 + 0.985939i \(0.553443\pi\)
\(264\) −35726.3 + 61879.7i −0.512602 + 0.887852i
\(265\) −166257. + 95988.2i −2.36748 + 1.36687i
\(266\) −27517.0 21944.1i −0.388900 0.310137i
\(267\) −19995.6 13632.8i −0.280487 0.191233i
\(268\) −139850. + 21079.1i −1.94713 + 0.293482i
\(269\) 20931.4 10080.0i 0.289263 0.139302i −0.283625 0.958935i \(-0.591537\pi\)
0.572888 + 0.819633i \(0.305823\pi\)
\(270\) 139682. 150541.i 1.91607 2.06503i
\(271\) −36432.1 5491.26i −0.496073 0.0747710i −0.103759 0.994602i \(-0.533087\pi\)
−0.392314 + 0.919831i \(0.628325\pi\)
\(272\) 163880. 50550.3i 2.21507 0.683259i
\(273\) −497.181 6634.42i −0.00667097 0.0890179i
\(274\) 5996.08 + 7518.85i 0.0798668 + 0.100150i
\(275\) 47305.0 120531.i 0.625521 1.59380i
\(276\) 95987.0 + 103449.i 1.26007 + 1.35803i
\(277\) −43882.9 64364.4i −0.571921 0.838853i 0.425905 0.904768i \(-0.359956\pi\)
−0.997825 + 0.0659146i \(0.979004\pi\)
\(278\) 138275. + 10362.3i 1.78918 + 0.134081i
\(279\) 6400.01 + 28040.3i 0.0822190 + 0.360225i
\(280\) 75906.8 17325.2i 0.968199 0.220985i
\(281\) 5332.85 71161.9i 0.0675377 0.901228i −0.855817 0.517279i \(-0.826945\pi\)
0.923354 0.383949i \(-0.125436\pi\)
\(282\) 21884.7 14920.7i 0.275196 0.187626i
\(283\) −73782.0 + 68459.7i −0.921250 + 0.854795i −0.989743 0.142856i \(-0.954371\pi\)
0.0684934 + 0.997652i \(0.478181\pi\)
\(284\) 104151. + 40876.4i 1.29130 + 0.506799i
\(285\) −60875.7 + 48546.7i −0.749470 + 0.597682i
\(286\) −81398.0 + 6099.94i −0.995134 + 0.0745750i
\(287\) −1863.10 6040.01i −0.0226189 0.0733287i
\(288\) 7681.96 50966.5i 0.0926162 0.614469i
\(289\) −52312.6 48539.0i −0.626341 0.581159i
\(290\) 160340. + 332949.i 1.90654 + 3.95896i
\(291\) −4658.77 30908.9i −0.0550155 0.365004i
\(292\) 85892.4 125981.i 1.00737 1.47754i
\(293\) 35944.5 45073.0i 0.418695 0.525027i −0.527095 0.849807i \(-0.676719\pi\)
0.945790 + 0.324780i \(0.105290\pi\)
\(294\) −38444.8 66588.3i −0.444778 0.770377i
\(295\) 10686.0 + 6169.57i 0.122792 + 0.0708942i
\(296\) 82325.4 + 209762.i 0.939616 + 2.39410i
\(297\) 30803.3 63963.7i 0.349208 0.725138i
\(298\) −19070.2 5882.36i −0.214744 0.0662398i
\(299\) −19701.3 + 86317.1i −0.220370 + 0.965505i
\(300\) 207184.i 2.30205i
\(301\) 19481.3 13993.9i 0.215023 0.154456i
\(302\) 170255. 1.86675
\(303\) −20498.8 4678.71i −0.223276 0.0509613i
\(304\) −48563.7 + 157440.i −0.525490 + 1.70360i
\(305\) −183231. 88239.4i −1.96970 0.948556i
\(306\) −152387. + 59807.4i −1.62744 + 0.638722i
\(307\) −20897.5 + 36195.5i −0.221726 + 0.384041i −0.955332 0.295534i \(-0.904502\pi\)
0.733606 + 0.679575i \(0.237836\pi\)
\(308\) 42444.7 24505.5i 0.447427 0.258322i
\(309\) −11020.8 8788.82i −0.115424 0.0920478i
\(310\) 126231. + 86063.0i 1.31354 + 0.895557i
\(311\) −141771. + 21368.6i −1.46577 + 0.220930i −0.832943 0.553359i \(-0.813346\pi\)
−0.632832 + 0.774289i \(0.718108\pi\)
\(312\) −64626.0 + 31122.2i −0.663893 + 0.319714i
\(313\) −195.453 + 210.648i −0.00199505 + 0.00215015i −0.734049 0.679097i \(-0.762372\pi\)
0.732054 + 0.681247i \(0.238562\pi\)
\(314\) 102985. + 15522.4i 1.04451 + 0.157435i
\(315\) −30835.5 + 9511.48i −0.310763 + 0.0958577i
\(316\) −26304.8 351013.i −0.263427 3.51519i
\(317\) −29937.4 37540.3i −0.297917 0.373576i 0.610232 0.792222i \(-0.291076\pi\)
−0.908149 + 0.418647i \(0.862505\pi\)
\(318\) −56287.4 + 143418.i −0.556617 + 1.41824i
\(319\) 86894.2 + 93649.7i 0.853905 + 0.920291i
\(320\) 14310.6 + 20989.8i 0.139752 + 0.204979i
\(321\) 59400.9 + 4451.48i 0.576479 + 0.0432011i
\(322\) −17162.1 75192.0i −0.165523 0.725204i
\(323\) 145066. 33110.5i 1.39047 0.317366i
\(324\) −3964.20 + 52898.5i −0.0377629 + 0.503911i
\(325\) 107397. 73222.3i 1.01678 0.693229i
\(326\) 39623.4 36765.2i 0.372835 0.345940i
\(327\) 69768.5 + 27382.1i 0.652475 + 0.256078i
\(328\) −53280.2 + 42489.5i −0.495243 + 0.394943i
\(329\) −9949.77 + 745.632i −0.0919223 + 0.00688863i
\(330\) −46367.0 150318.i −0.425776 1.38033i
\(331\) 6477.82 42977.5i 0.0591252 0.392270i −0.939621 0.342216i \(-0.888822\pi\)
0.998747 0.0500542i \(-0.0159394\pi\)
\(332\) −95717.1 88812.5i −0.868387 0.805746i
\(333\) −40521.7 84144.1i −0.365425 0.758814i
\(334\) −12075.7 80116.9i −0.108248 0.718177i
\(335\) 96326.6 141285.i 0.858334 1.25895i
\(336\) 16915.5 21211.4i 0.149833 0.187885i
\(337\) 55185.3 + 95583.7i 0.485918 + 0.841635i 0.999869 0.0161846i \(-0.00515193\pi\)
−0.513951 + 0.857820i \(0.671819\pi\)
\(338\) 106525. + 61502.0i 0.932430 + 0.538339i
\(339\) −5112.02 13025.2i −0.0444829 0.113341i
\(340\) −260057. + 540015.i −2.24963 + 4.67141i
\(341\) 50469.5 + 15567.8i 0.434030 + 0.133881i
\(342\) 34995.8 153326.i 0.299201 1.31089i
\(343\) 60111.6i 0.510940i
\(344\) −217181. 140397.i −1.83529 1.18643i
\(345\) −170625. −1.43352
\(346\) −143033. 32646.3i −1.19477 0.272698i
\(347\) −42149.4 + 136645.i −0.350052 + 1.13484i 0.593839 + 0.804584i \(0.297612\pi\)
−0.943891 + 0.330257i \(0.892865\pi\)
\(348\) 184175. + 88693.9i 1.52080 + 0.732378i
\(349\) 105070. 41237.0i 0.862638 0.338561i 0.107563 0.994198i \(-0.465695\pi\)
0.755076 + 0.655638i \(0.227600\pi\)
\(350\) −56615.2 + 98060.4i −0.462165 + 0.800493i
\(351\) 61721.2 35634.7i 0.500979 0.289241i
\(352\) −73999.9 59013.0i −0.597236 0.476280i
\(353\) −117916. 80393.7i −0.946287 0.645168i −0.0113328 0.999936i \(-0.503607\pi\)
−0.934954 + 0.354768i \(0.884560\pi\)
\(354\) 9791.99 1475.91i 0.0781384 0.0117775i
\(355\) −121880. + 58694.3i −0.967110 + 0.465736i
\(356\) 121731. 131195.i 0.960512 1.03519i
\(357\) −24228.3 3651.83i −0.190102 0.0286532i
\(358\) −139334. + 42978.9i −1.08716 + 0.335343i
\(359\) 6539.87 + 87268.5i 0.0507435 + 0.677125i 0.963343 + 0.268271i \(0.0864523\pi\)
−0.912600 + 0.408854i \(0.865929\pi\)
\(360\) 216917. + 272006.i 1.67375 + 2.09881i
\(361\) −4613.73 + 11755.6i −0.0354028 + 0.0902050i
\(362\) −204093. 219960.i −1.55744 1.67852i
\(363\) 8947.46 + 13123.5i 0.0679026 + 0.0995949i
\(364\) 49063.2 + 3676.78i 0.370300 + 0.0277501i
\(365\) 41022.2 + 179730.i 0.307917 + 1.34907i
\(366\) −159120. + 36318.2i −1.18786 + 0.271120i
\(367\) 13025.9 173819.i 0.0967110 1.29052i −0.711944 0.702236i \(-0.752185\pi\)
0.808655 0.588283i \(-0.200196\pi\)
\(368\) −298310. + 203384.i −2.20278 + 1.50183i
\(369\) 20704.6 19211.0i 0.152059 0.141090i
\(370\) −461802. 181244.i −3.37328 1.32392i
\(371\) 45375.3 36185.6i 0.329664 0.262898i
\(372\) 84274.8 6315.52i 0.608992 0.0456377i
\(373\) −3115.17 10099.1i −0.0223905 0.0725882i 0.943688 0.330837i \(-0.107331\pi\)
−0.966079 + 0.258248i \(0.916855\pi\)
\(374\) −44804.4 + 297258.i −0.320315 + 2.12515i
\(375\) 89276.2 + 82836.2i 0.634853 + 0.589057i
\(376\) 46674.6 + 96920.8i 0.330145 + 0.685554i
\(377\) 19114.4 + 126816.i 0.134486 + 0.892258i
\(378\) −34973.1 + 51296.1i −0.244765 + 0.359005i
\(379\) −21057.0 + 26404.7i −0.146595 + 0.183824i −0.849707 0.527254i \(-0.823221\pi\)
0.703113 + 0.711078i \(0.251793\pi\)
\(380\) −287908. 498672.i −1.99383 3.45341i
\(381\) −28847.1 16654.9i −0.198725 0.114734i
\(382\) 17146.3 + 43688.0i 0.117501 + 0.299389i
\(383\) 51427.3 106790.i 0.350587 0.728002i −0.648871 0.760898i \(-0.724759\pi\)
0.999459 + 0.0328958i \(0.0104729\pi\)
\(384\) 84724.1 + 26133.9i 0.574572 + 0.177232i
\(385\) −13186.0 + 57771.6i −0.0889593 + 0.389756i
\(386\) 308074.i 2.06766i
\(387\) 94108.7 + 51299.3i 0.628359 + 0.342523i
\(388\) 231162. 1.53551
\(389\) 4802.50 + 1096.14i 0.0317372 + 0.00724380i 0.238360 0.971177i \(-0.423390\pi\)
−0.206623 + 0.978421i \(0.566247\pi\)
\(390\) 46546.7 150901.i 0.306027 0.992115i
\(391\) 293776. + 141475.i 1.92160 + 0.925392i
\(392\) 290691. 114088.i 1.89173 0.742449i
\(393\) 46033.8 79732.9i 0.298052 0.516241i
\(394\) 318344. 183796.i 2.05071 1.18398i
\(395\) 332737. + 265349.i 2.13259 + 1.70068i
\(396\) 180949. + 123369.i 1.15389 + 0.786710i
\(397\) −82136.8 + 12380.1i −0.521143 + 0.0785497i −0.404346 0.914606i \(-0.632501\pi\)
−0.116797 + 0.993156i \(0.537263\pi\)
\(398\) −423538. + 203965.i −2.67378 + 1.28763i
\(399\) 16010.6 17255.4i 0.100569 0.108387i
\(400\) 524141. + 79001.5i 3.27588 + 0.493759i
\(401\) 206348. 63650.1i 1.28325 0.395831i 0.423201 0.906036i \(-0.360907\pi\)
0.860053 + 0.510205i \(0.170430\pi\)
\(402\) −10255.4 136848.i −0.0634598 0.846812i
\(403\) 33057.8 + 41453.2i 0.203547 + 0.255239i
\(404\) 56807.7 144744.i 0.348052 0.886823i
\(405\) −43624.2 47015.8i −0.265961 0.286638i
\(406\) −62933.4 92306.4i −0.381794 0.559989i
\(407\) −171022. 12816.4i −1.03244 0.0773706i
\(408\) 58782.8 + 257544.i 0.353126 + 1.54715i
\(409\) 163867. 37401.6i 0.979593 0.223586i 0.297396 0.954754i \(-0.403882\pi\)
0.682197 + 0.731168i \(0.261025\pi\)
\(410\) 11211.9 149612.i 0.0666977 0.890018i
\(411\) −5314.29 + 3623.22i −0.0314602 + 0.0214492i
\(412\) 76416.9 70904.5i 0.450189 0.417714i
\(413\) −3472.43 1362.83i −0.0203579 0.00798990i
\(414\) 269445. 214875.i 1.57206 1.25368i
\(415\) 157430. 11797.8i 0.914096 0.0685020i
\(416\) −28006.5 90794.9i −0.161835 0.524656i
\(417\) −13822.0 + 91703.0i −0.0794875 + 0.527365i
\(418\) −211707. 196435.i −1.21166 1.12426i
\(419\) −71536.2 148546.i −0.407472 0.846124i −0.999200 0.0399868i \(-0.987268\pi\)
0.591728 0.806138i \(-0.298446\pi\)
\(420\) 14131.9 + 93758.9i 0.0801127 + 0.531513i
\(421\) −49414.4 + 72477.6i −0.278798 + 0.408921i −0.939940 0.341339i \(-0.889119\pi\)
0.661143 + 0.750260i \(0.270072\pi\)
\(422\) −307870. + 386057.i −1.72879 + 2.16783i
\(423\) −22292.4 38611.5i −0.124588 0.215792i
\(424\) −541895. 312863.i −3.01428 1.74030i
\(425\) −174891. 445616.i −0.968256 2.46708i
\(426\) −47104.3 + 97813.1i −0.259562 + 0.538986i
\(427\) 58750.5 + 18122.1i 0.322222 + 0.0993924i
\(428\) −98024.3 + 429472.i −0.535114 + 2.34449i
\(429\) 54592.3i 0.296631i
\(430\) 551796. 140262.i 2.98430 0.758583i
\(431\) −112131. −0.603632 −0.301816 0.953366i \(-0.597593\pi\)
−0.301816 + 0.953366i \(0.597593\pi\)
\(432\) 283344. + 64671.4i 1.51826 + 0.346533i
\(433\) 27547.7 89307.4i 0.146930 0.476334i −0.851952 0.523620i \(-0.824581\pi\)
0.998881 + 0.0472861i \(0.0150573\pi\)
\(434\) −41613.0 20039.8i −0.220928 0.106393i
\(435\) −230070. + 90295.8i −1.21585 + 0.477188i
\(436\) −277136. + 480013.i −1.45787 + 2.52511i
\(437\) −271285. + 156626.i −1.42057 + 0.820166i
\(438\) 115671. + 92244.9i 0.602945 + 0.480833i
\(439\) 35761.6 + 24381.9i 0.185562 + 0.126514i 0.652538 0.757756i \(-0.273704\pi\)
−0.466976 + 0.884270i \(0.654657\pi\)
\(440\) 631746. 95220.4i 3.26315 0.491841i
\(441\) −116608. + 56155.5i −0.599586 + 0.288745i
\(442\) −205263. + 221221.i −1.05067 + 1.13235i
\(443\) −38837.4 5853.80i −0.197899 0.0298284i 0.0493449 0.998782i \(-0.484287\pi\)
−0.247243 + 0.968953i \(0.579525\pi\)
\(444\) −262230. + 80887.1i −1.33020 + 0.410311i
\(445\) 16170.7 + 215783.i 0.0816597 + 1.08967i
\(446\) 316718. + 397152.i 1.59222 + 1.99658i
\(447\) 4876.30 12424.6i 0.0244048 0.0621824i
\(448\) −5223.74 5629.85i −0.0260271 0.0280505i
\(449\) −175890. 257984.i −0.872467 1.27967i −0.958995 0.283424i \(-0.908529\pi\)
0.0865277 0.996249i \(-0.472423\pi\)
\(450\) −504550. 37810.8i −2.49160 0.186720i
\(451\) −11541.4 50566.1i −0.0567420 0.248603i
\(452\) 100883. 23026.0i 0.493791 0.112705i
\(453\) −8509.35 + 113549.i −0.0414667 + 0.553335i
\(454\) 106803. 72817.1i 0.518170 0.353282i
\(455\) −43607.0 + 40461.4i −0.210636 + 0.195442i
\(456\) −236243. 92718.4i −1.13613 0.445899i
\(457\) −87653.0 + 69900.9i −0.419695 + 0.334696i −0.810459 0.585795i \(-0.800782\pi\)
0.390764 + 0.920491i \(0.372211\pi\)
\(458\) −268221. + 20100.4i −1.27868 + 0.0958237i
\(459\) −77365.4 250812.i −0.367216 1.19048i
\(460\) 188064. 1.24772e6i 0.888771 5.89661i
\(461\) −21773.3 20202.7i −0.102453 0.0950622i 0.627284 0.778791i \(-0.284167\pi\)
−0.729736 + 0.683729i \(0.760357\pi\)
\(462\) 20633.8 + 42846.6i 0.0966709 + 0.200739i
\(463\) −11101.7 73654.7i −0.0517876 0.343589i −0.999687 0.0250186i \(-0.992036\pi\)
0.947899 0.318570i \(-0.103203\pi\)
\(464\) −294608. + 432110.i −1.36838 + 2.00705i
\(465\) −63707.7 + 79887.0i −0.294636 + 0.369462i
\(466\) 322191. + 558052.i 1.48369 + 2.56982i
\(467\) −132560. 76533.4i −0.607824 0.350927i 0.164289 0.986412i \(-0.447467\pi\)
−0.772113 + 0.635485i \(0.780800\pi\)
\(468\) 80320.8 + 204654.i 0.366721 + 0.934391i
\(469\) −22429.7 + 46575.7i −0.101971 + 0.211745i
\(470\) −226309. 69807.0i −1.02448 0.316012i
\(471\) −15499.7 + 67908.5i −0.0698684 + 0.306114i
\(472\) 40218.1i 0.180525i
\(473\) 167991. 102562.i 0.750867 0.458419i
\(474\) 341548. 1.52018
\(475\) 448364. + 102336.i 1.98721 + 0.453568i
\(476\) 53409.1 173148.i 0.235723 0.764195i
\(477\) 233654. + 112522.i 1.02692 + 0.494538i
\(478\) 326951. 128319.i 1.43096 0.561610i
\(479\) 151468. 262350.i 0.660160 1.14343i −0.320414 0.947278i \(-0.603822\pi\)
0.980573 0.196153i \(-0.0628448\pi\)
\(480\) 158579. 91555.8i 0.688278 0.397377i
\(481\) −134605. 107344.i −0.581797 0.463968i
\(482\) −319902. 218106.i −1.37697 0.938800i
\(483\) 51006.2 7687.94i 0.218639 0.0329546i
\(484\) −105830. + 50964.9i −0.451770 + 0.217561i
\(485\) −190101. + 204880.i −0.808165 + 0.870995i
\(486\) −434213. 65447.0i −1.83836 0.277088i
\(487\) −304199. + 93833.0i −1.28263 + 0.395638i −0.859827 0.510585i \(-0.829429\pi\)
−0.422799 + 0.906223i \(0.638953\pi\)
\(488\) −49536.1 661013.i −0.208009 2.77569i
\(489\) 22539.7 + 28263.9i 0.0942607 + 0.118199i
\(490\) −251170. + 639972.i −1.04611 + 2.66544i
\(491\) −89551.8 96513.9i −0.371459 0.400338i 0.519463 0.854493i \(-0.326132\pi\)
−0.890923 + 0.454155i \(0.849941\pi\)
\(492\) −46750.9 68571.0i −0.193135 0.283277i
\(493\) 470996. + 35296.2i 1.93786 + 0.145223i
\(494\) −64513.5 282652.i −0.264360 1.15824i
\(495\) −258150. + 58921.0i −1.05356 + 0.240469i
\(496\) −16157.6 + 215609.i −0.0656772 + 0.876401i
\(497\) 33789.9 23037.6i 0.136796 0.0932661i
\(498\) 92875.9 86176.2i 0.374494 0.347479i
\(499\) 352699. + 138424.i 1.41646 + 0.555919i 0.945321 0.326141i \(-0.105749\pi\)
0.471137 + 0.882060i \(0.343844\pi\)
\(500\) −704154. + 561544.i −2.81662 + 2.24618i
\(501\) 54036.6 4049.48i 0.215284 0.0161333i
\(502\) 108646. + 352222.i 0.431128 + 1.39768i
\(503\) −18408.0 + 122129.i −0.0727564 + 0.482707i 0.922546 + 0.385888i \(0.126105\pi\)
−0.995302 + 0.0968192i \(0.969133\pi\)
\(504\) −77100.7 71539.0i −0.303527 0.281632i
\(505\) 81570.1 + 169382.i 0.319852 + 0.664179i
\(506\) −94323.8 625797.i −0.368400 2.44418i
\(507\) −46342.1 + 67971.4i −0.180285 + 0.264430i
\(508\) 153587. 192592.i 0.595152 0.746297i
\(509\) −38177.8 66125.9i −0.147358 0.255232i 0.782892 0.622158i \(-0.213744\pi\)
−0.930250 + 0.366925i \(0.880410\pi\)
\(510\) −503663. 290790.i −1.93642 1.11799i
\(511\) −20361.3 51879.7i −0.0779765 0.198681i
\(512\) −255001. + 529515.i −0.972751 + 2.01994i
\(513\) 240956. + 74325.0i 0.915594 + 0.282423i
\(514\) 61523.6 269553.i 0.232871 1.02028i
\(515\) 126039.i 0.475214i
\(516\) 190266. 250970.i 0.714596 0.942589i
\(517\) −81873.1 −0.306309
\(518\) 146216. + 33373.0i 0.544925 + 0.124376i
\(519\) 28921.8 93762.2i 0.107372 0.348091i
\(520\) 577843. + 278274.i 2.13699 + 1.02912i
\(521\) 91556.6 35933.3i 0.337298 0.132380i −0.190646 0.981659i \(-0.561058\pi\)
0.527944 + 0.849279i \(0.322963\pi\)
\(522\) 249605. 432328.i 0.916035 1.58662i
\(523\) −450532. + 260115.i −1.64711 + 0.950960i −0.668898 + 0.743355i \(0.733234\pi\)
−0.978213 + 0.207605i \(0.933433\pi\)
\(524\) 532321. + 424512.i 1.93870 + 1.54606i
\(525\) −62570.6 42659.9i −0.227013 0.154775i
\(526\) 506265. 76307.2i 1.82981 0.275800i
\(527\) 175928. 84722.7i 0.633454 0.305055i
\(528\) 151422. 163194.i 0.543151 0.585377i
\(529\) −402063. 60601.3i −1.43676 0.216556i
\(530\) 1.31637e6 406047.i 4.68627 1.44552i
\(531\) −1245.65 16622.0i −0.00441781 0.0589515i
\(532\) 108536. + 136099.i 0.383485 + 0.480875i
\(533\) 19022.4 48468.2i 0.0669592 0.170609i
\(534\) 118118. + 127301.i 0.414222 + 0.446426i
\(535\) −300032. 440066.i −1.04824 1.53748i
\(536\) 555791. + 41650.8i 1.93456 + 0.144975i
\(537\) −21700.3 95075.3i −0.0752519 0.329700i
\(538\) −162528. + 37095.9i −0.561517 + 0.128163i
\(539\) −17761.1 + 237005.i −0.0611353 + 0.815794i
\(540\) −839230. + 572177.i −2.87802 + 1.96220i
\(541\) 243834. 226245.i 0.833106 0.773009i −0.143134 0.989703i \(-0.545718\pi\)
0.976240 + 0.216694i \(0.0695274\pi\)
\(542\) 246105. + 96589.1i 0.837764 + 0.328798i
\(543\) 156901. 125124.i 0.532139 0.424366i
\(544\) −348950. + 26150.2i −1.17914 + 0.0883643i
\(545\) −197530. 640376.i −0.665028 2.15597i
\(546\) −7115.33 + 47207.1i −0.0238677 + 0.158352i
\(547\) 70762.2 + 65657.8i 0.236498 + 0.219438i 0.789514 0.613733i \(-0.210333\pi\)
−0.553016 + 0.833171i \(0.686523\pi\)
\(548\) −20637.9 42855.1i −0.0687235 0.142706i
\(549\) 40946.2 + 271660.i 0.135853 + 0.901326i
\(550\) −523396. + 767681.i −1.73024 + 2.53779i
\(551\) −282912. + 354760.i −0.931853 + 1.16851i
\(552\) −278067. 481626.i −0.912580 1.58064i
\(553\) −111424. 64330.4i −0.364357 0.210361i
\(554\) 204223. + 520353.i 0.665405 + 1.69542i
\(555\) 143959. 298935.i 0.467363 0.970489i
\(556\) −655358. 202151.i −2.11997 0.653923i
\(557\) −38738.0 + 169722.i −0.124861 + 0.547052i 0.873341 + 0.487110i \(0.161949\pi\)
−0.998202 + 0.0599423i \(0.980908\pi\)
\(558\) 206384.i 0.662839i
\(559\) 197337. + 9930.41i 0.631517 + 0.0317793i
\(560\) −242582. −0.773541
\(561\) −196013. 44738.8i −0.622816 0.142154i
\(562\) −150936. + 489321.i −0.477880 + 1.54925i
\(563\) −370060. 178212.i −1.16750 0.562237i −0.253252 0.967400i \(-0.581500\pi\)
−0.914244 + 0.405164i \(0.867215\pi\)
\(564\) −121950. + 47861.7i −0.383374 + 0.150463i
\(565\) −62555.7 + 108350.i −0.195961 + 0.339414i
\(566\) 625480. 361121.i 1.95245 1.12725i
\(567\) 15159.3 + 12089.2i 0.0471535 + 0.0376037i
\(568\) −364305. 248379.i −1.12919 0.769871i
\(569\) 223650. 33709.9i 0.690789 0.104120i 0.205740 0.978607i \(-0.434040\pi\)
0.485049 + 0.874487i \(0.338802\pi\)
\(570\) 503393. 242421.i 1.54938 0.746142i
\(571\) −203220. + 219020.i −0.623297 + 0.671755i −0.963225 0.268697i \(-0.913407\pi\)
0.339928 + 0.940452i \(0.389597\pi\)
\(572\) 399215. + 60172.0i 1.22015 + 0.183909i
\(573\) −29994.1 + 9251.97i −0.0913539 + 0.0281790i
\(574\) 3389.51 + 45229.8i 0.0102876 + 0.137278i
\(575\) 628347. + 787922.i 1.90048 + 2.38313i
\(576\) 12537.7 31945.5i 0.0377896 0.0962864i
\(577\) −49653.4 53513.7i −0.149141 0.160736i 0.654062 0.756441i \(-0.273063\pi\)
−0.803204 + 0.595705i \(0.796873\pi\)
\(578\) 288465. + 423101.i 0.863452 + 1.26645i
\(579\) 205466. + 15397.6i 0.612891 + 0.0459298i
\(580\) −406718. 1.78195e6i −1.20903 5.29711i
\(581\) −46530.2 + 10620.2i −0.137842 + 0.0314616i
\(582\) −16761.9 + 223673.i −0.0494856 + 0.660339i
\(583\) 393482. 268271.i 1.15768 0.789290i
\(584\) −440474. + 408700.i −1.29150 + 1.19834i
\(585\) −247440. 97112.9i −0.723032 0.283769i
\(586\) −323433. + 257929.i −0.941865 + 0.751112i
\(587\) −199986. + 14986.9i −0.580396 + 0.0434947i −0.361694 0.932297i \(-0.617801\pi\)
−0.218702 + 0.975792i \(0.570182\pi\)
\(588\) 112094. + 363401.i 0.324212 + 1.05107i
\(589\) −27959.2 + 185497.i −0.0805923 + 0.534695i
\(590\) −64906.2 60224.2i −0.186459 0.173008i
\(591\) 106670. + 221502.i 0.305398 + 0.634164i
\(592\) −104640. 694238.i −0.298574 1.98091i
\(593\) 247599. 363162.i 0.704109 1.03274i −0.292952 0.956127i \(-0.594637\pi\)
0.997061 0.0766116i \(-0.0244102\pi\)
\(594\) −317629. + 398294.i −0.900217 + 1.12884i
\(595\) 109540. + 189729.i 0.309413 + 0.535920i
\(596\) 85482.3 + 49353.2i 0.240649 + 0.138939i
\(597\) −114864. 292668.i −0.322280 0.821157i
\(598\) 275654. 572402.i 0.770836 1.60066i
\(599\) −82753.9 25526.2i −0.230640 0.0711431i 0.177281 0.984160i \(-0.443270\pi\)
−0.407921 + 0.913017i \(0.633746\pi\)
\(600\) −181683. + 796005.i −0.504675 + 2.21112i
\(601\) 76713.9i 0.212386i 0.994346 + 0.106193i \(0.0338661\pi\)
−0.994346 + 0.106193i \(0.966134\pi\)
\(602\) −158633. + 66792.2i −0.437724 + 0.184303i
\(603\) −230997. −0.635289
\(604\) −820969. 187381.i −2.25037 0.513631i
\(605\) 41860.9 135710.i 0.114366 0.370766i
\(606\) 135935. + 65463.0i 0.370158 + 0.178259i
\(607\) 46003.1 18054.9i 0.124856 0.0490024i −0.302090 0.953279i \(-0.597684\pi\)
0.426947 + 0.904277i \(0.359589\pi\)
\(608\) 168088. 291138.i 0.454706 0.787574i
\(609\) 64708.0 37359.2i 0.174471 0.100731i
\(610\) 1.14096e6 + 909883.i 3.06626 + 2.44526i
\(611\) −67908.8 46299.5i −0.181905 0.124021i
\(612\) 800632. 120676.i 2.13762 0.322194i
\(613\) 203494. 97997.4i 0.541539 0.260791i −0.143057 0.989715i \(-0.545693\pi\)
0.684596 + 0.728923i \(0.259979\pi\)
\(614\) 203991. 219850.i 0.541095 0.583162i
\(615\) 99221.6 + 14955.2i 0.262335 + 0.0395406i
\(616\) −184562. + 56929.9i −0.486386 + 0.150030i
\(617\) −25544.6 340869.i −0.0671010 0.895400i −0.924606 0.380925i \(-0.875606\pi\)
0.857505 0.514476i \(-0.172013\pi\)
\(618\) 63066.3 + 79082.6i 0.165128 + 0.207064i
\(619\) 105024. 267597.i 0.274099 0.698393i −0.725846 0.687858i \(-0.758551\pi\)
0.999945 0.0105349i \(-0.00335343\pi\)
\(620\) −513967. 553925.i −1.33706 1.44101i
\(621\) 311272. + 456553.i 0.807156 + 1.18388i
\(622\) 1.02593e6 + 76882.6i 2.65177 + 0.198723i
\(623\) −14556.7 63776.9i −0.0375047 0.164319i
\(624\) 217882. 49730.1i 0.559567 0.127717i
\(625\) 24564.2 327787.i 0.0628844 0.839134i
\(626\) 1703.71 1161.57i 0.00434758 0.00296413i
\(627\) 141591. 131377.i 0.360165 0.334184i
\(628\) −479508. 188193.i −1.21584 0.477183i
\(629\) −495728. + 395330.i −1.25297 + 0.999214i
\(630\) 230907. 17304.1i 0.581777 0.0435981i
\(631\) 81408.9 + 263921.i 0.204462 + 0.662851i 0.998488 + 0.0549666i \(0.0175052\pi\)
−0.794026 + 0.607884i \(0.792019\pi\)
\(632\) −206745. + 1.37166e6i −0.517607 + 3.43410i
\(633\) −242088. 224625.i −0.604180 0.560597i
\(634\) 149494. + 310428.i 0.371917 + 0.772294i
\(635\) 44389.9 + 294508.i 0.110087 + 0.730381i
\(636\) 429262. 629612.i 1.06123 1.55653i
\(637\) −148759. + 186538.i −0.366610 + 0.459714i
\(638\) −458362. 793906.i −1.12607 1.95042i
\(639\) 158259. + 91371.0i 0.387585 + 0.223772i
\(640\) −289630. 737966.i −0.707106 1.80168i
\(641\) 99108.1 205800.i 0.241209 0.500875i −0.744858 0.667223i \(-0.767483\pi\)
0.986067 + 0.166347i \(0.0531973\pi\)
\(642\) −408451. 125990.i −0.990992 0.305680i
\(643\) 155553. 681521.i 0.376232 1.64838i −0.332648 0.943051i \(-0.607942\pi\)
0.708880 0.705329i \(-0.249201\pi\)
\(644\) 381465.i 0.919777i
\(645\) 65967.1 + 375024.i 0.158565 + 0.901446i
\(646\) −1.06773e6 −2.55856
\(647\) −338561. 77274.4i −0.808777 0.184598i −0.201913 0.979403i \(-0.564716\pi\)
−0.606864 + 0.794805i \(0.707573\pi\)
\(648\) 61617.9 199760.i 0.146743 0.475729i
\(649\) −27578.2 13280.9i −0.0654751 0.0315311i
\(650\) −868252. + 340764.i −2.05503 + 0.806541i
\(651\) 15445.1 26751.7i 0.0364443 0.0631233i
\(652\) −231528. + 133673.i −0.544638 + 0.314447i
\(653\) 334299. + 266594.i 0.783986 + 0.625208i 0.931454 0.363859i \(-0.118541\pi\)
−0.147468 + 0.989067i \(0.547112\pi\)
\(654\) −444367. 302964.i −1.03893 0.708330i
\(655\) −814013. + 122693.i −1.89736 + 0.285980i
\(656\) 191299. 92125.0i 0.444535 0.214077i
\(657\) 169388. 182557.i 0.392421 0.422929i
\(658\) 70797.5 + 10671.0i 0.163518 + 0.0246464i
\(659\) −461524. + 142361.i −1.06273 + 0.327809i −0.776347 0.630305i \(-0.782930\pi\)
−0.286385 + 0.958115i \(0.592454\pi\)
\(660\) 58143.1 + 775866.i 0.133478 + 1.78114i
\(661\) −138412. 173563.i −0.316789 0.397241i 0.597787 0.801655i \(-0.296047\pi\)
−0.914576 + 0.404414i \(0.867475\pi\)
\(662\) −113942. + 290320.i −0.259997 + 0.662462i
\(663\) −137281. 147954.i −0.312309 0.336589i
\(664\) 289865. + 425154.i 0.657446 + 0.964296i
\(665\) −209882. 15728.5i −0.474605 0.0355667i
\(666\) 149125. + 653361.i 0.336204 + 1.47301i
\(667\) −969406. + 221261.i −2.17898 + 0.497339i
\(668\) −29947.0 + 399614.i −0.0671120 + 0.895547i
\(669\) −280705. + 191381.i −0.627188 + 0.427610i
\(670\) −899482. + 834597.i −2.00375 + 1.85921i
\(671\) 469624. + 184314.i 1.04305 + 0.409367i
\(672\) −43280.0 + 34514.6i −0.0958404 + 0.0764302i
\(673\) 445955. 33419.7i 0.984602 0.0737857i 0.427313 0.904104i \(-0.359460\pi\)
0.557290 + 0.830318i \(0.311841\pi\)
\(674\) −233443. 756805.i −0.513880 1.66596i
\(675\) 120909. 802179.i 0.265370 1.76061i
\(676\) −445973. 413803.i −0.975923 0.905524i
\(677\) 344286. + 714918.i 0.751177 + 1.55984i 0.826669 + 0.562689i \(0.190233\pi\)
−0.0754915 + 0.997146i \(0.524053\pi\)
\(678\) 14964.8 + 99284.8i 0.0325545 + 0.215985i
\(679\) 47596.8 69811.7i 0.103238 0.151422i
\(680\) 1.47269e6 1.84669e6i 3.18488 3.99371i
\(681\) 43226.5 + 74870.4i 0.0932085 + 0.161442i
\(682\) −328218. 189497.i −0.705657 0.407412i
\(683\) 239088. + 609186.i 0.512526 + 1.30590i 0.919728 + 0.392557i \(0.128409\pi\)
−0.407202 + 0.913338i \(0.633495\pi\)
\(684\) −337499. + 700825.i −0.721375 + 1.49795i
\(685\) 54954.8 + 16951.3i 0.117118 + 0.0361262i
\(686\) 95983.4 420531.i 0.203961 0.893613i
\(687\) 179891.i 0.381150i
\(688\) 562360. + 577036.i 1.18806 + 1.21906i
\(689\) 478077. 1.00707
\(690\) 1.19366e6 + 272446.i 2.50717 + 0.572245i
\(691\) 46151.3 149619.i 0.0966558 0.313350i −0.894313 0.447441i \(-0.852335\pi\)
0.990969 + 0.134091i \(0.0428115\pi\)
\(692\) 653774. + 314841.i 1.36526 + 0.657474i
\(693\) 74515.7 29245.3i 0.155161 0.0608961i
\(694\) 513059. 888644.i 1.06524 1.84505i
\(695\) 718116. 414604.i 1.48671 0.858350i
\(696\) −629824. 502268.i −1.30017 1.03685i
\(697\) −158436. 108020.i −0.326128 0.222350i
\(698\) −800899. + 120716.i −1.64387 + 0.247773i
\(699\) −388289. + 186990.i −0.794695 + 0.382705i
\(700\) 380923. 410538.i 0.777394 0.837832i
\(701\) −614267. 92585.9i −1.25003 0.188412i −0.509523 0.860457i \(-0.670178\pi\)
−0.740510 + 0.672045i \(0.765416\pi\)
\(702\) −488691. + 150741.i −0.991653 + 0.305885i
\(703\) −45521.3 607439.i −0.0921094 1.22911i
\(704\) −39292.0 49270.6i −0.0792790 0.0994128i
\(705\) 57867.8 147445.i 0.116428 0.296655i
\(706\) 696551. + 750703.i 1.39747 + 1.50612i
\(707\) −32016.3 46959.3i −0.0640520 0.0939470i
\(708\) −48841.4 3660.16i −0.0974365 0.00730185i
\(709\) 215926. + 946036.i 0.429550 + 1.88198i 0.469770 + 0.882789i \(0.344337\pi\)
−0.0402199 + 0.999191i \(0.512806\pi\)
\(710\) 946373. 216003.i 1.87735 0.428493i
\(711\) 42963.4 573307.i 0.0849884 1.13409i
\(712\) −582740. + 397305.i −1.14952 + 0.783727i
\(713\) −301343. + 279606.i −0.592764 + 0.550005i
\(714\) 163666. + 64234.2i 0.321042 + 0.126000i
\(715\) −381634. + 304343.i −0.746509 + 0.595321i
\(716\) 719172. 53894.5i 1.40284 0.105128i
\(717\) 69239.7 + 224470.i 0.134684 + 0.436636i
\(718\) 93594.4 620958.i 0.181552 1.20452i
\(719\) −678791. 629826.i −1.31304 1.21832i −0.959103 0.283056i \(-0.908652\pi\)
−0.353939 0.935269i \(-0.615158\pi\)
\(720\) −470316. 976621.i −0.907245 1.88391i
\(721\) −5678.99 37677.7i −0.0109245 0.0724792i
\(722\) 51047.7 74873.2i 0.0979269 0.143632i
\(723\) 161452. 202454.i 0.308863 0.387302i
\(724\) 742053. + 1.28527e6i 1.41566 + 2.45199i
\(725\) 1.26423e6 + 729906.i 2.40520 + 1.38864i
\(726\) −41639.9 106097.i −0.0790018 0.201293i
\(727\) −293254. + 608948.i −0.554850 + 1.15216i 0.415308 + 0.909681i \(0.363674\pi\)
−0.970157 + 0.242476i \(0.922040\pi\)
\(728\) −185277. 57150.4i −0.349590 0.107834i
\(729\) 38411.3 168291.i 0.0722777 0.316669i
\(730\) 1.32286e6i 2.48239i
\(731\) 197374. 700400.i 0.369365 1.31072i
\(732\) 807251. 1.50656
\(733\) 711945. + 162497.i 1.32507 + 0.302438i 0.825778 0.563996i \(-0.190737\pi\)
0.499291 + 0.866434i \(0.333594\pi\)
\(734\) −368673. + 1.19521e6i −0.684303 + 2.21846i
\(735\) −414268. 199501.i −0.766843 0.369292i
\(736\) 685757. 269140.i 1.26594 0.496847i
\(737\) −212096. + 367360.i −0.390478 + 0.676328i
\(738\) −175521. + 101337.i −0.322267 + 0.186061i
\(739\) −496987. 396334.i −0.910031 0.725725i 0.0520057 0.998647i \(-0.483439\pi\)
−0.962036 + 0.272922i \(0.912010\pi\)
\(740\) 2.02734e6 + 1.38222e6i 3.70222 + 2.52413i
\(741\) 191736. 28899.5i 0.349194 0.0526325i
\(742\) −375218. + 180695.i −0.681515 + 0.328200i
\(743\) −435191. + 469024.i −0.788320 + 0.849606i −0.991577 0.129519i \(-0.958657\pi\)
0.203257 + 0.979125i \(0.434847\pi\)
\(744\) −329323. 49637.4i −0.594943 0.0896733i
\(745\) −114040. + 35176.8i −0.205469 + 0.0633787i
\(746\) 5667.38 + 75625.9i 0.0101837 + 0.135892i
\(747\) −132968. 166737.i −0.238291 0.298807i
\(748\) 543207. 1.38407e6i 0.970872 2.47374i
\(749\) 109519. + 118033.i 0.195221 + 0.210398i
\(750\) −492292. 722060.i −0.875187 1.28366i
\(751\) −1.02785e6 77026.4i −1.82242 0.136571i −0.880851 0.473393i \(-0.843029\pi\)
−0.941568 + 0.336822i \(0.890648\pi\)
\(752\) −74581.2 326762.i −0.131885 0.577824i
\(753\) −240340. + 54856.1i −0.423873 + 0.0967464i
\(754\) 68772.3 917703.i 0.120968 1.61421i
\(755\) 841219. 573533.i 1.47576 1.00615i
\(756\) 225096. 208859.i 0.393844 0.365434i </