Properties

Label 74.4.f.b.9.5
Level $74$
Weight $4$
Character 74.9
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.5
Character \(\chi\) \(=\) 74.9
Dual form 74.4.f.b.33.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.347296 + 1.96962i) q^{2} +(1.33010 - 7.54337i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-4.89924 - 4.11095i) q^{5} +15.3195 q^{6} +(-6.34775 - 5.32640i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-29.7615 - 10.8323i) q^{9} +O(q^{10})\) \(q+(0.347296 + 1.96962i) q^{2} +(1.33010 - 7.54337i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-4.89924 - 4.11095i) q^{5} +15.3195 q^{6} +(-6.34775 - 5.32640i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-29.7615 - 10.8323i) q^{9} +(6.39551 - 11.0773i) q^{10} +(-32.5912 - 56.4496i) q^{11} +(5.32040 + 30.1735i) q^{12} +(24.8424 - 9.04190i) q^{13} +(8.28640 - 14.3525i) q^{14} +(-37.5269 + 31.4888i) q^{15} +(12.2567 - 10.2846i) q^{16} +(96.1207 + 34.9851i) q^{17} +(10.9994 - 62.3808i) q^{18} +(-11.5967 + 65.7679i) q^{19} +(24.0392 + 8.74957i) q^{20} +(-48.6221 + 40.7988i) q^{21} +(99.8652 - 83.7968i) q^{22} +(41.4085 - 71.7217i) q^{23} +(-57.5824 + 20.9583i) q^{24} +(-14.6034 - 82.8199i) q^{25} +(26.4367 + 45.7898i) q^{26} +(-17.8914 + 30.9888i) q^{27} +(31.1467 + 11.3365i) q^{28} +(113.346 + 196.321i) q^{29} +(-75.0538 - 62.9776i) q^{30} -94.8681 q^{31} +(24.5134 + 20.5692i) q^{32} +(-469.169 + 170.764i) q^{33} +(-35.5248 + 201.471i) q^{34} +(9.20261 + 52.1906i) q^{35} +126.686 q^{36} +(93.2459 + 204.837i) q^{37} -133.565 q^{38} +(-35.1635 - 199.422i) q^{39} +(-8.88454 + 50.3868i) q^{40} +(-37.3117 + 13.5803i) q^{41} +(-97.2442 - 81.5976i) q^{42} -48.1559 q^{43} +(199.730 + 167.594i) q^{44} +(101.278 + 175.418i) q^{45} +(155.645 + 56.6502i) q^{46} +(95.8190 - 165.963i) q^{47} +(-61.2779 - 106.136i) q^{48} +(-47.6379 - 270.168i) q^{49} +(158.052 - 57.5261i) q^{50} +(391.755 - 678.540i) q^{51} +(-81.0069 + 67.9729i) q^{52} +(242.959 - 203.867i) q^{53} +(-67.2497 - 24.4769i) q^{54} +(-72.3894 + 410.541i) q^{55} +(-11.5113 + 65.2841i) q^{56} +(480.687 + 174.956i) q^{57} +(-347.313 + 291.430i) q^{58} +(319.785 - 268.331i) q^{59} +(97.9758 - 169.699i) q^{60} +(44.1852 - 16.0821i) q^{61} +(-32.9474 - 186.854i) q^{62} +(131.222 + 227.282i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-158.880 - 57.8275i) q^{65} +(-499.280 - 864.778i) q^{66} +(221.866 + 186.168i) q^{67} -409.158 q^{68} +(-485.946 - 407.757i) q^{69} +(-99.5994 + 36.2512i) q^{70} +(99.1058 - 562.057i) q^{71} +(43.9977 + 249.523i) q^{72} -955.693 q^{73} +(-371.066 + 254.798i) q^{74} -644.165 q^{75} +(-46.3866 - 263.072i) q^{76} +(-93.7921 + 531.921i) q^{77} +(380.573 - 138.517i) q^{78} +(396.441 + 332.653i) q^{79} -102.328 q^{80} +(-445.106 - 373.488i) q^{81} +(-39.7063 - 68.7733i) q^{82} +(1208.19 + 439.746i) q^{83} +(126.943 - 219.872i) q^{84} +(-327.096 - 566.548i) q^{85} +(-16.7244 - 94.8487i) q^{86} +(1631.69 - 593.885i) q^{87} +(-260.729 + 451.597i) q^{88} +(-143.735 + 120.608i) q^{89} +(-310.333 + 260.400i) q^{90} +(-205.854 - 74.9248i) q^{91} +(-57.5241 + 326.236i) q^{92} +(-126.184 + 715.625i) q^{93} +(360.162 + 131.088i) q^{94} +(327.184 - 274.540i) q^{95} +(187.766 - 157.555i) q^{96} +(-617.359 + 1069.30i) q^{97} +(515.582 - 187.657i) q^{98} +(358.484 + 2033.06i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + O(q^{10}) \) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.347296 + 1.96962i 0.122788 + 0.696364i
\(3\) 1.33010 7.54337i 0.255978 1.45172i −0.537573 0.843217i \(-0.680659\pi\)
0.793551 0.608504i \(-0.208230\pi\)
\(4\) −3.75877 + 1.36808i −0.469846 + 0.171010i
\(5\) −4.89924 4.11095i −0.438202 0.367695i 0.396834 0.917890i \(-0.370109\pi\)
−0.835036 + 0.550196i \(0.814553\pi\)
\(6\) 15.3195 1.04236
\(7\) −6.34775 5.32640i −0.342746 0.287598i 0.455123 0.890428i \(-0.349595\pi\)
−0.797870 + 0.602830i \(0.794040\pi\)
\(8\) −4.00000 6.92820i −0.176777 0.306186i
\(9\) −29.7615 10.8323i −1.10228 0.401197i
\(10\) 6.39551 11.0773i 0.202244 0.350296i
\(11\) −32.5912 56.4496i −0.893328 1.54729i −0.835860 0.548942i \(-0.815031\pi\)
−0.0574679 0.998347i \(-0.518303\pi\)
\(12\) 5.32040 + 30.1735i 0.127989 + 0.725861i
\(13\) 24.8424 9.04190i 0.530004 0.192906i −0.0631363 0.998005i \(-0.520110\pi\)
0.593140 + 0.805099i \(0.297888\pi\)
\(14\) 8.28640 14.3525i 0.158188 0.273990i
\(15\) −37.5269 + 31.4888i −0.645960 + 0.542025i
\(16\) 12.2567 10.2846i 0.191511 0.160697i
\(17\) 96.1207 + 34.9851i 1.37133 + 0.499125i 0.919540 0.392997i \(-0.128562\pi\)
0.451795 + 0.892122i \(0.350784\pi\)
\(18\) 10.9994 62.3808i 0.144033 0.816849i
\(19\) −11.5967 + 65.7679i −0.140024 + 0.794115i 0.831205 + 0.555966i \(0.187652\pi\)
−0.971229 + 0.238149i \(0.923459\pi\)
\(20\) 24.0392 + 8.74957i 0.268767 + 0.0978231i
\(21\) −48.6221 + 40.7988i −0.505248 + 0.423954i
\(22\) 99.8652 83.7968i 0.967787 0.812070i
\(23\) 41.4085 71.7217i 0.375403 0.650218i −0.614984 0.788540i \(-0.710838\pi\)
0.990387 + 0.138322i \(0.0441708\pi\)
\(24\) −57.5824 + 20.9583i −0.489748 + 0.178254i
\(25\) −14.6034 82.8199i −0.116827 0.662559i
\(26\) 26.4367 + 45.7898i 0.199411 + 0.345389i
\(27\) −17.8914 + 30.9888i −0.127526 + 0.220882i
\(28\) 31.1467 + 11.3365i 0.210220 + 0.0765140i
\(29\) 113.346 + 196.321i 0.725788 + 1.25710i 0.958649 + 0.284592i \(0.0918582\pi\)
−0.232860 + 0.972510i \(0.574808\pi\)
\(30\) −75.0538 62.9776i −0.456763 0.383270i
\(31\) −94.8681 −0.549639 −0.274820 0.961496i \(-0.588618\pi\)
−0.274820 + 0.961496i \(0.588618\pi\)
\(32\) 24.5134 + 20.5692i 0.135419 + 0.113630i
\(33\) −469.169 + 170.764i −2.47491 + 0.900792i
\(34\) −35.5248 + 201.471i −0.179190 + 1.01623i
\(35\) 9.20261 + 52.1906i 0.0444436 + 0.252052i
\(36\) 126.686 0.586510
\(37\) 93.2459 + 204.837i 0.414312 + 0.910135i
\(38\) −133.565 −0.570187
\(39\) −35.1635 199.422i −0.144376 0.818797i
\(40\) −8.88454 + 50.3868i −0.0351192 + 0.199171i
\(41\) −37.3117 + 13.5803i −0.142125 + 0.0517291i −0.412103 0.911137i \(-0.635206\pi\)
0.269978 + 0.962866i \(0.412983\pi\)
\(42\) −97.2442 81.5976i −0.357264 0.299780i
\(43\) −48.1559 −0.170784 −0.0853920 0.996347i \(-0.527214\pi\)
−0.0853920 + 0.996347i \(0.527214\pi\)
\(44\) 199.730 + 167.594i 0.684329 + 0.574220i
\(45\) 101.278 + 175.418i 0.335502 + 0.581107i
\(46\) 155.645 + 56.6502i 0.498883 + 0.181579i
\(47\) 95.8190 165.963i 0.297375 0.515069i −0.678159 0.734915i \(-0.737222\pi\)
0.975535 + 0.219846i \(0.0705554\pi\)
\(48\) −61.2779 106.136i −0.184265 0.319156i
\(49\) −47.6379 270.168i −0.138886 0.787661i
\(50\) 158.052 57.5261i 0.447037 0.162708i
\(51\) 391.755 678.540i 1.07562 1.86303i
\(52\) −81.0069 + 67.9729i −0.216031 + 0.181272i
\(53\) 242.959 203.867i 0.629679 0.528364i −0.271150 0.962537i \(-0.587404\pi\)
0.900829 + 0.434173i \(0.142959\pi\)
\(54\) −67.2497 24.4769i −0.169473 0.0616831i
\(55\) −72.3894 + 410.541i −0.177473 + 1.00650i
\(56\) −11.5113 + 65.2841i −0.0274691 + 0.155785i
\(57\) 480.687 + 174.956i 1.11699 + 0.406552i
\(58\) −347.313 + 291.430i −0.786283 + 0.659770i
\(59\) 319.785 268.331i 0.705634 0.592097i −0.217736 0.976008i \(-0.569867\pi\)
0.923370 + 0.383910i \(0.125423\pi\)
\(60\) 97.9758 169.699i 0.210810 0.365134i
\(61\) 44.1852 16.0821i 0.0927433 0.0337558i −0.295232 0.955426i \(-0.595397\pi\)
0.387975 + 0.921670i \(0.373175\pi\)
\(62\) −32.9474 186.854i −0.0674890 0.382749i
\(63\) 131.222 + 227.282i 0.262419 + 0.454522i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) −158.880 57.8275i −0.303179 0.110348i
\(66\) −499.280 864.778i −0.931168 1.61283i
\(67\) 221.866 + 186.168i 0.404556 + 0.339463i 0.822251 0.569124i \(-0.192718\pi\)
−0.417696 + 0.908587i \(0.637162\pi\)
\(68\) −409.158 −0.729672
\(69\) −485.946 407.757i −0.847840 0.711423i
\(70\) −99.5994 + 36.2512i −0.170063 + 0.0618978i
\(71\) 99.1058 562.057i 0.165658 0.939492i −0.782726 0.622367i \(-0.786171\pi\)
0.948384 0.317125i \(-0.102718\pi\)
\(72\) 43.9977 + 249.523i 0.0720163 + 0.408425i
\(73\) −955.693 −1.53227 −0.766133 0.642682i \(-0.777822\pi\)
−0.766133 + 0.642682i \(0.777822\pi\)
\(74\) −371.066 + 254.798i −0.582913 + 0.400265i
\(75\) −644.165 −0.991756
\(76\) −46.3866 263.072i −0.0700120 0.397058i
\(77\) −93.7921 + 531.921i −0.138813 + 0.787248i
\(78\) 380.573 138.517i 0.552454 0.201077i
\(79\) 396.441 + 332.653i 0.564596 + 0.473752i 0.879848 0.475256i \(-0.157645\pi\)
−0.315252 + 0.949008i \(0.602089\pi\)
\(80\) −102.328 −0.143008
\(81\) −445.106 373.488i −0.610571 0.512330i
\(82\) −39.7063 68.7733i −0.0534735 0.0926188i
\(83\) 1208.19 + 439.746i 1.59779 + 0.581547i 0.978973 0.203989i \(-0.0653907\pi\)
0.618815 + 0.785536i \(0.287613\pi\)
\(84\) 126.943 219.872i 0.164889 0.285596i
\(85\) −327.096 566.548i −0.417395 0.722950i
\(86\) −16.7244 94.8487i −0.0209702 0.118928i
\(87\) 1631.69 593.885i 2.01075 0.731853i
\(88\) −260.729 + 451.597i −0.315839 + 0.547050i
\(89\) −143.735 + 120.608i −0.171190 + 0.143645i −0.724357 0.689425i \(-0.757863\pi\)
0.553167 + 0.833070i \(0.313419\pi\)
\(90\) −310.333 + 260.400i −0.363467 + 0.304985i
\(91\) −205.854 74.9248i −0.237136 0.0863105i
\(92\) −57.5241 + 326.236i −0.0651881 + 0.369700i
\(93\) −126.184 + 715.625i −0.140695 + 0.797923i
\(94\) 360.162 + 131.088i 0.395190 + 0.143837i
\(95\) 327.184 274.540i 0.353351 0.296496i
\(96\) 187.766 157.555i 0.199623 0.167504i
\(97\) −617.359 + 1069.30i −0.646219 + 1.11928i 0.337799 + 0.941218i \(0.390318\pi\)
−0.984018 + 0.178066i \(0.943016\pi\)
\(98\) 515.582 187.657i 0.531446 0.193430i
\(99\) 358.484 + 2033.06i 0.363929 + 2.06394i
\(100\) 168.195 + 291.322i 0.168195 + 0.291322i
\(101\) 754.093 1306.13i 0.742921 1.28678i −0.208239 0.978078i \(-0.566773\pi\)
0.951160 0.308699i \(-0.0998936\pi\)
\(102\) 1472.52 + 535.953i 1.42942 + 0.520267i
\(103\) −629.686 1090.65i −0.602377 1.04335i −0.992460 0.122568i \(-0.960887\pi\)
0.390083 0.920780i \(-0.372446\pi\)
\(104\) −162.014 135.946i −0.152757 0.128179i
\(105\) 405.933 0.377286
\(106\) 485.918 + 407.734i 0.445251 + 0.373610i
\(107\) −1700.13 + 618.797i −1.53605 + 0.559078i −0.965095 0.261900i \(-0.915651\pi\)
−0.570959 + 0.820978i \(0.693429\pi\)
\(108\) 24.8545 140.957i 0.0221447 0.125589i
\(109\) 251.494 + 1426.29i 0.220998 + 1.25334i 0.870190 + 0.492717i \(0.163996\pi\)
−0.649192 + 0.760625i \(0.724893\pi\)
\(110\) −833.748 −0.722680
\(111\) 1669.19 430.934i 1.42732 0.368491i
\(112\) −132.582 −0.111856
\(113\) −399.398 2265.10i −0.332497 1.88569i −0.450668 0.892692i \(-0.648814\pi\)
0.118171 0.992993i \(-0.462297\pi\)
\(114\) −177.655 + 1007.53i −0.145955 + 0.827752i
\(115\) −497.715 + 181.153i −0.403584 + 0.146893i
\(116\) −694.626 582.860i −0.555986 0.466528i
\(117\) −837.293 −0.661605
\(118\) 639.569 + 536.662i 0.498959 + 0.418676i
\(119\) −423.806 734.053i −0.326472 0.565467i
\(120\) 368.268 + 134.039i 0.280151 + 0.101967i
\(121\) −1458.87 + 2526.84i −1.09607 + 1.89845i
\(122\) 47.0209 + 81.4427i 0.0348941 + 0.0604383i
\(123\) 52.8133 + 299.519i 0.0387156 + 0.219567i
\(124\) 356.588 129.787i 0.258246 0.0939939i
\(125\) −668.642 + 1158.12i −0.478441 + 0.828685i
\(126\) −402.086 + 337.390i −0.284291 + 0.238549i
\(127\) −527.302 + 442.459i −0.368429 + 0.309149i −0.808140 0.588991i \(-0.799525\pi\)
0.439711 + 0.898140i \(0.355081\pi\)
\(128\) −120.281 43.7786i −0.0830579 0.0302306i
\(129\) −64.0522 + 363.258i −0.0437169 + 0.247931i
\(130\) 58.7196 333.015i 0.0396158 0.224672i
\(131\) 191.576 + 69.7280i 0.127772 + 0.0465051i 0.405115 0.914266i \(-0.367232\pi\)
−0.277343 + 0.960771i \(0.589454\pi\)
\(132\) 1529.88 1283.72i 1.00878 0.846468i
\(133\) 423.919 355.710i 0.276379 0.231910i
\(134\) −289.625 + 501.646i −0.186715 + 0.323400i
\(135\) 215.048 78.2711i 0.137099 0.0499000i
\(136\) −142.099 805.884i −0.0895948 0.508117i
\(137\) −67.1795 116.358i −0.0418944 0.0725632i 0.844318 0.535843i \(-0.180006\pi\)
−0.886212 + 0.463279i \(0.846673\pi\)
\(138\) 634.357 1098.74i 0.391305 0.677760i
\(139\) 1665.35 + 606.136i 1.01621 + 0.369869i 0.795813 0.605542i \(-0.207044\pi\)
0.220394 + 0.975411i \(0.429266\pi\)
\(140\) −105.991 183.583i −0.0639851 0.110825i
\(141\) −1124.47 943.546i −0.671615 0.563552i
\(142\) 1141.46 0.674569
\(143\) −1320.06 1107.66i −0.771948 0.647741i
\(144\) −476.184 + 173.317i −0.275570 + 0.100299i
\(145\) 251.757 1427.79i 0.144188 0.817733i
\(146\) −331.909 1882.35i −0.188144 1.06702i
\(147\) −2101.34 −1.17902
\(148\) −630.723 642.367i −0.350305 0.356772i
\(149\) 3134.12 1.72320 0.861600 0.507588i \(-0.169463\pi\)
0.861600 + 0.507588i \(0.169463\pi\)
\(150\) −223.716 1268.76i −0.121776 0.690624i
\(151\) 83.8196 475.365i 0.0451731 0.256190i −0.953855 0.300268i \(-0.902924\pi\)
0.999028 + 0.0440782i \(0.0140351\pi\)
\(152\) 502.040 182.728i 0.267900 0.0975077i
\(153\) −2481.73 2082.42i −1.31135 1.10035i
\(154\) −1080.25 −0.565256
\(155\) 464.782 + 389.998i 0.240853 + 0.202099i
\(156\) 404.997 + 701.475i 0.207857 + 0.360019i
\(157\) 2418.68 + 880.327i 1.22950 + 0.447501i 0.873426 0.486957i \(-0.161893\pi\)
0.356074 + 0.934458i \(0.384115\pi\)
\(158\) −517.517 + 896.365i −0.260579 + 0.451335i
\(159\) −1214.68 2103.89i −0.605853 1.04937i
\(160\) −35.5382 201.547i −0.0175596 0.0995856i
\(161\) −644.869 + 234.713i −0.315670 + 0.114894i
\(162\) 581.045 1006.40i 0.281797 0.488088i
\(163\) 860.767 722.269i 0.413623 0.347071i −0.412108 0.911135i \(-0.635207\pi\)
0.825731 + 0.564064i \(0.190763\pi\)
\(164\) 121.667 102.091i 0.0579305 0.0486095i
\(165\) 3000.58 + 1092.12i 1.41572 + 0.515281i
\(166\) −446.530 + 2532.40i −0.208780 + 1.18405i
\(167\) −365.997 + 2075.67i −0.169591 + 0.961799i 0.774612 + 0.632436i \(0.217945\pi\)
−0.944203 + 0.329363i \(0.893166\pi\)
\(168\) 477.151 + 173.669i 0.219125 + 0.0797549i
\(169\) −1147.61 + 962.959i −0.522353 + 0.438306i
\(170\) 1002.28 841.014i 0.452185 0.379429i
\(171\) 1057.55 1831.73i 0.472942 0.819159i
\(172\) 181.007 65.8812i 0.0802422 0.0292058i
\(173\) 486.703 + 2760.23i 0.213892 + 1.21304i 0.882819 + 0.469714i \(0.155643\pi\)
−0.668927 + 0.743328i \(0.733246\pi\)
\(174\) 1736.40 + 3007.54i 0.756531 + 1.31035i
\(175\) −348.433 + 603.503i −0.150509 + 0.260689i
\(176\) −980.022 356.699i −0.419727 0.152768i
\(177\) −1598.78 2769.16i −0.678934 1.17595i
\(178\) −287.471 241.216i −0.121050 0.101573i
\(179\) −3199.04 −1.33580 −0.667898 0.744253i \(-0.732806\pi\)
−0.667898 + 0.744253i \(0.732806\pi\)
\(180\) −620.666 520.801i −0.257010 0.215657i
\(181\) −1170.56 + 426.049i −0.480702 + 0.174961i −0.570994 0.820954i \(-0.693442\pi\)
0.0902924 + 0.995915i \(0.471220\pi\)
\(182\) 76.0807 431.475i 0.0309861 0.175731i
\(183\) −62.5425 354.696i −0.0252638 0.143278i
\(184\) −662.537 −0.265450
\(185\) 385.241 1386.88i 0.153100 0.551163i
\(186\) −1453.33 −0.572921
\(187\) −1157.79 6566.17i −0.452761 2.56773i
\(188\) −133.110 + 754.906i −0.0516387 + 0.292857i
\(189\) 278.629 101.413i 0.107234 0.0390301i
\(190\) 654.367 + 549.079i 0.249857 + 0.209655i
\(191\) 4870.80 1.84523 0.922614 0.385725i \(-0.126049\pi\)
0.922614 + 0.385725i \(0.126049\pi\)
\(192\) 375.533 + 315.109i 0.141155 + 0.118443i
\(193\) 1880.84 + 3257.71i 0.701482 + 1.21500i 0.967946 + 0.251157i \(0.0808112\pi\)
−0.266464 + 0.963845i \(0.585855\pi\)
\(194\) −2320.51 844.596i −0.858778 0.312569i
\(195\) −647.540 + 1121.57i −0.237802 + 0.411885i
\(196\) 548.671 + 950.326i 0.199953 + 0.346329i
\(197\) 759.721 + 4308.59i 0.274761 + 1.55825i 0.739721 + 0.672914i \(0.234958\pi\)
−0.464960 + 0.885332i \(0.653931\pi\)
\(198\) −3879.85 + 1412.15i −1.39257 + 0.506854i
\(199\) 793.187 1373.84i 0.282550 0.489392i −0.689462 0.724322i \(-0.742153\pi\)
0.972012 + 0.234930i \(0.0754862\pi\)
\(200\) −515.379 + 432.455i −0.182214 + 0.152896i
\(201\) 1699.43 1425.99i 0.596362 0.500407i
\(202\) 2834.46 + 1031.66i 0.987287 + 0.359343i
\(203\) 326.192 1849.93i 0.112779 0.639603i
\(204\) −544.221 + 3086.43i −0.186780 + 1.05928i
\(205\) 238.627 + 86.8532i 0.0812998 + 0.0295907i
\(206\) 1929.47 1619.02i 0.652586 0.547584i
\(207\) −2009.29 + 1686.00i −0.674664 + 0.566111i
\(208\) 211.494 366.318i 0.0705023 0.122113i
\(209\) 4090.52 1488.83i 1.35381 0.492748i
\(210\) 140.979 + 799.533i 0.0463261 + 0.262729i
\(211\) 1530.43 + 2650.79i 0.499334 + 0.864871i 1.00000 0.000769239i \(-0.000244856\pi\)
−0.500666 + 0.865641i \(0.666912\pi\)
\(212\) −634.321 + 1098.68i −0.205497 + 0.355931i
\(213\) −4107.98 1495.18i −1.32148 0.480978i
\(214\) −1809.24 3133.70i −0.577931 1.00101i
\(215\) 235.928 + 197.967i 0.0748378 + 0.0627964i
\(216\) 286.263 0.0901746
\(217\) 602.199 + 505.305i 0.188387 + 0.158075i
\(218\) −2721.91 + 990.694i −0.845646 + 0.307790i
\(219\) −1271.17 + 7209.14i −0.392226 + 2.22442i
\(220\) −289.558 1642.16i −0.0887363 0.503248i
\(221\) 2704.20 0.823096
\(222\) 1428.48 + 3137.99i 0.431861 + 0.948687i
\(223\) −2097.48 −0.629854 −0.314927 0.949116i \(-0.601980\pi\)
−0.314927 + 0.949116i \(0.601980\pi\)
\(224\) −46.0454 261.136i −0.0137345 0.0778925i
\(225\) −462.512 + 2623.03i −0.137040 + 0.777195i
\(226\) 4322.66 1573.32i 1.27230 0.463078i
\(227\) −3037.54 2548.80i −0.888144 0.745241i 0.0796933 0.996819i \(-0.474606\pi\)
−0.967837 + 0.251578i \(0.919050\pi\)
\(228\) −2046.14 −0.594339
\(229\) −354.195 297.205i −0.102209 0.0857636i 0.590251 0.807220i \(-0.299029\pi\)
−0.692460 + 0.721456i \(0.743473\pi\)
\(230\) −529.657 917.393i −0.151846 0.263005i
\(231\) 3887.73 + 1415.02i 1.10733 + 0.403036i
\(232\) 906.770 1570.57i 0.256605 0.444453i
\(233\) 2344.62 + 4060.99i 0.659231 + 1.14182i 0.980815 + 0.194941i \(0.0624515\pi\)
−0.321584 + 0.946881i \(0.604215\pi\)
\(234\) −290.789 1649.14i −0.0812370 0.460718i
\(235\) −1151.71 + 419.187i −0.319698 + 0.116361i
\(236\) −834.898 + 1446.09i −0.230285 + 0.398865i
\(237\) 3036.63 2548.04i 0.832280 0.698366i
\(238\) 1298.62 1089.67i 0.353684 0.296776i
\(239\) 687.799 + 250.338i 0.186151 + 0.0677534i 0.433414 0.901195i \(-0.357309\pi\)
−0.247263 + 0.968948i \(0.579531\pi\)
\(240\) −136.107 + 771.898i −0.0366068 + 0.207608i
\(241\) 52.2511 296.331i 0.0139659 0.0792048i −0.977028 0.213110i \(-0.931641\pi\)
0.990994 + 0.133905i \(0.0427518\pi\)
\(242\) −5483.56 1995.85i −1.45660 0.530158i
\(243\) −4149.50 + 3481.84i −1.09543 + 0.919178i
\(244\) −144.081 + 120.898i −0.0378025 + 0.0317201i
\(245\) −877.257 + 1519.45i −0.228759 + 0.396222i
\(246\) −571.596 + 208.044i −0.148145 + 0.0539203i
\(247\) 306.578 + 1738.69i 0.0789760 + 0.447895i
\(248\) 379.472 + 657.266i 0.0971634 + 0.168292i
\(249\) 4924.19 8528.94i 1.25324 2.17068i
\(250\) −2513.27 914.756i −0.635813 0.231417i
\(251\) 3008.37 + 5210.65i 0.756520 + 1.31033i 0.944615 + 0.328181i \(0.106435\pi\)
−0.188095 + 0.982151i \(0.560231\pi\)
\(252\) −804.173 674.781i −0.201024 0.168679i
\(253\) −5398.21 −1.34143
\(254\) −1054.60 884.919i −0.260519 0.218601i
\(255\) −4708.75 + 1713.84i −1.15637 + 0.420883i
\(256\) 44.4539 252.111i 0.0108530 0.0615505i
\(257\) −816.809 4632.35i −0.198253 1.12435i −0.907709 0.419600i \(-0.862170\pi\)
0.709456 0.704750i \(-0.248941\pi\)
\(258\) −737.723 −0.178018
\(259\) 499.141 1796.92i 0.119750 0.431101i
\(260\) 676.306 0.161318
\(261\) −1246.74 7070.63i −0.295676 1.67686i
\(262\) −70.8037 + 401.548i −0.0166957 + 0.0946858i
\(263\) 3181.58 1158.00i 0.745949 0.271503i 0.0590492 0.998255i \(-0.481193\pi\)
0.686900 + 0.726752i \(0.258971\pi\)
\(264\) 3059.76 + 2567.45i 0.713316 + 0.598543i
\(265\) −2028.40 −0.470203
\(266\) 847.837 + 711.420i 0.195429 + 0.163985i
\(267\) 718.610 + 1244.67i 0.164712 + 0.285290i
\(268\) −1088.64 396.231i −0.248130 0.0903121i
\(269\) 3257.76 5642.61i 0.738399 1.27894i −0.214817 0.976654i \(-0.568916\pi\)
0.953216 0.302290i \(-0.0977510\pi\)
\(270\) 228.849 + 396.379i 0.0515827 + 0.0893439i
\(271\) 78.7811 + 446.790i 0.0176591 + 0.100150i 0.992363 0.123349i \(-0.0393634\pi\)
−0.974704 + 0.223498i \(0.928252\pi\)
\(272\) 1537.93 559.761i 0.342834 0.124781i
\(273\) −838.992 + 1453.18i −0.186000 + 0.322162i
\(274\) 205.850 172.729i 0.0453863 0.0380836i
\(275\) −4199.21 + 3523.55i −0.920806 + 0.772648i
\(276\) 2384.40 + 867.852i 0.520015 + 0.189270i
\(277\) 1413.46 8016.16i 0.306595 1.73879i −0.309304 0.950963i \(-0.600096\pi\)
0.615899 0.787825i \(-0.288793\pi\)
\(278\) −615.487 + 3490.60i −0.132786 + 0.753066i
\(279\) 2823.42 + 1027.64i 0.605856 + 0.220513i
\(280\) 324.777 272.520i 0.0693183 0.0581650i
\(281\) −1588.17 + 1332.63i −0.337160 + 0.282911i −0.795610 0.605809i \(-0.792849\pi\)
0.458449 + 0.888720i \(0.348405\pi\)
\(282\) 1467.90 2542.47i 0.309971 0.536886i
\(283\) −2414.99 + 878.985i −0.507267 + 0.184630i −0.582959 0.812501i \(-0.698105\pi\)
0.0756929 + 0.997131i \(0.475883\pi\)
\(284\) 396.423 + 2248.23i 0.0828289 + 0.469746i
\(285\) −1635.77 2833.23i −0.339980 0.588863i
\(286\) 1723.21 2984.69i 0.356278 0.617092i
\(287\) 309.180 + 112.532i 0.0635899 + 0.0231448i
\(288\) −506.745 877.708i −0.103681 0.179581i
\(289\) 4251.65 + 3567.56i 0.865388 + 0.726147i
\(290\) 2899.63 0.587144
\(291\) 7244.95 + 6079.23i 1.45947 + 1.22464i
\(292\) 3592.23 1307.47i 0.719930 0.262033i
\(293\) 431.162 2445.24i 0.0859684 0.487551i −0.911175 0.412020i \(-0.864824\pi\)
0.997143 0.0755316i \(-0.0240654\pi\)
\(294\) −729.787 4138.83i −0.144769 0.821025i
\(295\) −2669.80 −0.526921
\(296\) 1046.17 1465.37i 0.205430 0.287747i
\(297\) 2332.41 0.455691
\(298\) 1088.47 + 6173.00i 0.211588 + 1.19997i
\(299\) 380.188 2156.15i 0.0735346 0.417035i
\(300\) 2421.27 881.269i 0.465973 0.169600i
\(301\) 305.682 + 256.498i 0.0585356 + 0.0491172i
\(302\) 965.396 0.183948
\(303\) −8849.58 7425.68i −1.67787 1.40790i
\(304\) 534.260 + 925.365i 0.100796 + 0.174583i
\(305\) −282.587 102.853i −0.0530521 0.0193094i
\(306\) 3239.67 5611.27i 0.605227 1.04828i
\(307\) −4792.06 8300.09i −0.890871 1.54303i −0.838833 0.544389i \(-0.816762\pi\)
−0.0520377 0.998645i \(-0.516572\pi\)
\(308\) −375.168 2127.69i −0.0694065 0.393624i
\(309\) −9064.71 + 3299.28i −1.66885 + 0.607410i
\(310\) −606.730 + 1050.89i −0.111161 + 0.192537i
\(311\) 207.036 173.724i 0.0377490 0.0316752i −0.623718 0.781649i \(-0.714379\pi\)
0.661467 + 0.749974i \(0.269934\pi\)
\(312\) −1240.98 + 1041.31i −0.225182 + 0.188950i
\(313\) −3052.68 1111.08i −0.551271 0.200646i 0.0513403 0.998681i \(-0.483651\pi\)
−0.602611 + 0.798035i \(0.705873\pi\)
\(314\) −893.907 + 5069.60i −0.160656 + 0.911127i
\(315\) 291.461 1652.96i 0.0521332 0.295662i
\(316\) −1945.23 708.005i −0.346290 0.126039i
\(317\) −5650.80 + 4741.59i −1.00120 + 0.840108i −0.987150 0.159794i \(-0.948917\pi\)
−0.0140507 + 0.999901i \(0.504473\pi\)
\(318\) 3722.01 3123.13i 0.656351 0.550744i
\(319\) 7388.17 12796.7i 1.29673 2.24601i
\(320\) 384.628 139.993i 0.0671917 0.0244558i
\(321\) 2406.47 + 13647.8i 0.418430 + 2.37304i
\(322\) −686.256 1188.63i −0.118769 0.205714i
\(323\) −3415.57 + 5915.94i −0.588382 + 1.01911i
\(324\) 2184.01 + 794.916i 0.374488 + 0.136302i
\(325\) −1111.63 1925.40i −0.189730 0.328622i
\(326\) 1721.53 + 1444.54i 0.292475 + 0.245416i
\(327\) 11093.6 1.87607
\(328\) 243.334 + 204.182i 0.0409631 + 0.0343721i
\(329\) −1492.22 + 543.124i −0.250057 + 0.0910134i
\(330\) −1108.97 + 6289.27i −0.184990 + 1.04913i
\(331\) 236.795 + 1342.93i 0.0393215 + 0.223003i 0.998136 0.0610300i \(-0.0194385\pi\)
−0.958814 + 0.284033i \(0.908327\pi\)
\(332\) −5142.93 −0.850166
\(333\) −556.282 7106.33i −0.0915437 1.16944i
\(334\) −4215.39 −0.690586
\(335\) −321.649 1824.16i −0.0524583 0.297506i
\(336\) −176.348 + 1000.12i −0.0286326 + 0.162384i
\(337\) 1230.66 447.923i 0.198927 0.0724034i −0.240635 0.970616i \(-0.577356\pi\)
0.439562 + 0.898212i \(0.355134\pi\)
\(338\) −2295.22 1925.92i −0.369359 0.309929i
\(339\) −17617.7 −2.82260
\(340\) 2004.56 + 1682.03i 0.319743 + 0.268296i
\(341\) 3091.86 + 5355.27i 0.491008 + 0.850451i
\(342\) 3975.10 + 1446.82i 0.628505 + 0.228757i
\(343\) −2557.75 + 4430.14i −0.402639 + 0.697392i
\(344\) 192.624 + 333.634i 0.0301906 + 0.0522917i
\(345\) 704.497 + 3995.40i 0.109939 + 0.623493i
\(346\) −5267.56 + 1917.24i −0.818456 + 0.297894i
\(347\) −4844.35 + 8390.66i −0.749448 + 1.29808i 0.198640 + 0.980072i \(0.436347\pi\)
−0.948088 + 0.318009i \(0.896986\pi\)
\(348\) −5320.65 + 4464.56i −0.819589 + 0.687717i
\(349\) 123.592 103.706i 0.0189562 0.0159061i −0.633260 0.773939i \(-0.718284\pi\)
0.652216 + 0.758033i \(0.273839\pi\)
\(350\) −1309.68 476.684i −0.200015 0.0727996i
\(351\) −164.268 + 931.610i −0.0249800 + 0.141669i
\(352\) 362.202 2054.15i 0.0548449 0.311041i
\(353\) 2856.12 + 1039.54i 0.430640 + 0.156740i 0.548240 0.836321i \(-0.315298\pi\)
−0.117600 + 0.993061i \(0.537520\pi\)
\(354\) 4898.93 4110.69i 0.735523 0.617177i
\(355\) −2796.13 + 2346.23i −0.418038 + 0.350775i
\(356\) 375.266 649.980i 0.0558682 0.0967665i
\(357\) −6100.94 + 2220.56i −0.904470 + 0.329200i
\(358\) −1111.02 6300.88i −0.164019 0.930201i
\(359\) −4373.13 7574.48i −0.642911 1.11355i −0.984780 0.173807i \(-0.944393\pi\)
0.341869 0.939748i \(-0.388940\pi\)
\(360\) 810.222 1403.35i 0.118618 0.205452i
\(361\) 2254.42 + 820.541i 0.328680 + 0.119630i
\(362\) −1245.68 2157.59i −0.180861 0.313260i
\(363\) 17120.4 + 14365.7i 2.47545 + 2.07715i
\(364\) 876.262 0.126178
\(365\) 4682.17 + 3928.81i 0.671441 + 0.563406i
\(366\) 676.894 246.369i 0.0966717 0.0351856i
\(367\) −493.748 + 2800.19i −0.0702274 + 0.398279i 0.929350 + 0.369201i \(0.120368\pi\)
−0.999577 + 0.0290787i \(0.990743\pi\)
\(368\) −230.097 1304.94i −0.0325941 0.184850i
\(369\) 1257.56 0.177414
\(370\) 2865.40 + 277.120i 0.402609 + 0.0389372i
\(371\) −2628.12 −0.367777
\(372\) −504.736 2862.50i −0.0703477 0.398962i
\(373\) 1898.42 10766.5i 0.263530 1.49455i −0.509660 0.860376i \(-0.670229\pi\)
0.773190 0.634175i \(-0.218660\pi\)
\(374\) 12530.7 4560.82i 1.73248 0.630573i
\(375\) 7846.78 + 6584.23i 1.08055 + 0.906689i
\(376\) −1533.10 −0.210276
\(377\) 4590.91 + 3852.23i 0.627173 + 0.526260i
\(378\) 296.511 + 513.572i 0.0403462 + 0.0698817i
\(379\) 4844.90 + 1763.40i 0.656638 + 0.238997i 0.648784 0.760973i \(-0.275278\pi\)
0.00785376 + 0.999969i \(0.497500\pi\)
\(380\) −854.215 + 1479.54i −0.115317 + 0.199734i
\(381\) 2636.27 + 4566.15i 0.354489 + 0.613992i
\(382\) 1691.61 + 9593.60i 0.226571 + 1.28495i
\(383\) −3607.65 + 1313.08i −0.481312 + 0.175183i −0.571270 0.820762i \(-0.693549\pi\)
0.0899579 + 0.995946i \(0.471327\pi\)
\(384\) −490.223 + 849.091i −0.0651474 + 0.112839i
\(385\) 2646.21 2220.44i 0.350295 0.293932i
\(386\) −5763.24 + 4835.93i −0.759951 + 0.637674i
\(387\) 1433.19 + 521.640i 0.188251 + 0.0685179i
\(388\) 857.626 4863.84i 0.112215 0.636402i
\(389\) −545.686 + 3094.74i −0.0711243 + 0.403366i 0.928373 + 0.371651i \(0.121208\pi\)
−0.999497 + 0.0317153i \(0.989903\pi\)
\(390\) −2433.96 885.887i −0.316021 0.115022i
\(391\) 6489.40 5445.26i 0.839343 0.704293i
\(392\) −1681.23 + 1410.72i −0.216619 + 0.181765i
\(393\) 780.799 1352.38i 0.100219 0.173585i
\(394\) −8222.42 + 2992.72i −1.05137 + 0.382667i
\(395\) −574.738 3259.50i −0.0732106 0.415198i
\(396\) −4128.85 7151.38i −0.523946 0.907501i
\(397\) 1067.62 1849.18i 0.134968 0.233772i −0.790617 0.612311i \(-0.790240\pi\)
0.925585 + 0.378539i \(0.123573\pi\)
\(398\) 2981.41 + 1085.14i 0.375488 + 0.136667i
\(399\) −2119.40 3670.90i −0.265921 0.460589i
\(400\) −1030.76 864.909i −0.128845 0.108114i
\(401\) 2830.20 0.352453 0.176226 0.984350i \(-0.443611\pi\)
0.176226 + 0.984350i \(0.443611\pi\)
\(402\) 3398.87 + 2851.99i 0.421692 + 0.353841i
\(403\) −2356.75 + 857.788i −0.291311 + 0.106028i
\(404\) −1047.57 + 5941.09i −0.129007 + 0.731634i
\(405\) 645.290 + 3659.62i 0.0791721 + 0.449007i
\(406\) 3756.93 0.459245
\(407\) 8523.97 11939.6i 1.03813 1.45411i
\(408\) −6268.08 −0.760579
\(409\) 1070.42 + 6070.65i 0.129410 + 0.733923i 0.978590 + 0.205819i \(0.0659857\pi\)
−0.849180 + 0.528104i \(0.822903\pi\)
\(410\) −88.1931 + 500.168i −0.0106233 + 0.0602476i
\(411\) −967.089 + 351.991i −0.116066 + 0.0422444i
\(412\) 3858.94 + 3238.04i 0.461448 + 0.387201i
\(413\) −3459.15 −0.412140
\(414\) −4018.59 3371.99i −0.477060 0.400301i
\(415\) −4111.46 7121.25i −0.486321 0.842333i
\(416\) 794.957 + 289.341i 0.0936923 + 0.0341012i
\(417\) 6787.38 11756.1i 0.797073 1.38057i
\(418\) 4353.04 + 7539.68i 0.509364 + 0.882244i
\(419\) −1362.81 7728.91i −0.158897 0.901150i −0.955136 0.296168i \(-0.904291\pi\)
0.796239 0.604982i \(-0.206820\pi\)
\(420\) −1525.81 + 555.350i −0.177266 + 0.0645197i
\(421\) 3937.37 6819.73i 0.455810 0.789485i −0.542925 0.839781i \(-0.682683\pi\)
0.998734 + 0.0502960i \(0.0160165\pi\)
\(422\) −4689.52 + 3934.98i −0.540953 + 0.453914i
\(423\) −4649.49 + 3901.38i −0.534434 + 0.448444i
\(424\) −2384.27 867.803i −0.273090 0.0993968i
\(425\) 1493.77 8471.60i 0.170491 0.966901i
\(426\) 1518.25 8610.42i 0.172675 0.979287i
\(427\) −366.137 133.263i −0.0414955 0.0151031i
\(428\) 5543.84 4651.83i 0.626102 0.525362i
\(429\) −10111.3 + 8484.37i −1.13794 + 0.954846i
\(430\) −307.982 + 533.440i −0.0345400 + 0.0598250i
\(431\) −11115.7 + 4045.79i −1.24228 + 0.452155i −0.877788 0.479050i \(-0.840981\pi\)
−0.364497 + 0.931205i \(0.618759\pi\)
\(432\) 99.4180 + 563.828i 0.0110723 + 0.0627944i
\(433\) −3387.15 5866.71i −0.375926 0.651123i 0.614539 0.788886i \(-0.289342\pi\)
−0.990465 + 0.137763i \(0.956009\pi\)
\(434\) −786.115 + 1361.59i −0.0869464 + 0.150596i
\(435\) −10435.5 3798.20i −1.15021 0.418643i
\(436\) −2896.59 5017.05i −0.318169 0.551085i
\(437\) 4236.79 + 3555.08i 0.463782 + 0.389160i
\(438\) −14640.7 −1.59717
\(439\) 1940.59 + 1628.35i 0.210978 + 0.177032i 0.742153 0.670231i \(-0.233805\pi\)
−0.531175 + 0.847262i \(0.678249\pi\)
\(440\) 3133.87 1140.63i 0.339548 0.123586i
\(441\) −1508.77 + 8556.63i −0.162916 + 0.923943i
\(442\) 939.159 + 5326.24i 0.101066 + 0.573175i
\(443\) 1724.85 0.184989 0.0924943 0.995713i \(-0.470516\pi\)
0.0924943 + 0.995713i \(0.470516\pi\)
\(444\) −5684.54 + 3903.37i −0.607604 + 0.417220i
\(445\) 1200.01 0.127833
\(446\) −728.446 4131.22i −0.0773384 0.438608i
\(447\) 4168.68 23641.8i 0.441101 2.50161i
\(448\) 498.347 181.383i 0.0525551 0.0191285i
\(449\) −2020.51 1695.41i −0.212369 0.178199i 0.530398 0.847749i \(-0.322043\pi\)
−0.742767 + 0.669550i \(0.766487\pi\)
\(450\) −5327.00 −0.558038
\(451\) 1982.64 + 1663.63i 0.207004 + 0.173697i
\(452\) 4600.08 + 7967.57i 0.478694 + 0.829122i
\(453\) −3474.36 1264.56i −0.360353 0.131158i
\(454\) 3965.23 6867.97i 0.409906 0.709978i
\(455\) 700.518 + 1213.33i 0.0721775 + 0.125015i
\(456\) −710.618 4030.12i −0.0729775 0.413876i
\(457\) −3252.41 + 1183.78i −0.332913 + 0.121171i −0.503068 0.864247i \(-0.667796\pi\)
0.170155 + 0.985417i \(0.445573\pi\)
\(458\) 462.369 800.847i 0.0471727 0.0817055i
\(459\) −2803.88 + 2352.74i −0.285129 + 0.239251i
\(460\) 1622.96 1361.83i 0.164502 0.138034i
\(461\) −7040.02 2562.36i −0.711250 0.258874i −0.0390434 0.999238i \(-0.512431\pi\)
−0.672207 + 0.740364i \(0.734653\pi\)
\(462\) −1436.85 + 8148.76i −0.144693 + 0.820594i
\(463\) −2808.12 + 15925.6i −0.281867 + 1.59855i 0.434401 + 0.900720i \(0.356960\pi\)
−0.716267 + 0.697826i \(0.754151\pi\)
\(464\) 3408.34 + 1240.53i 0.341009 + 0.124117i
\(465\) 3560.11 2987.28i 0.355045 0.297918i
\(466\) −7184.32 + 6028.36i −0.714178 + 0.599267i
\(467\) 4554.33 7888.32i 0.451283 0.781645i −0.547183 0.837013i \(-0.684300\pi\)
0.998466 + 0.0553682i \(0.0176333\pi\)
\(468\) 3147.19 1145.48i 0.310853 0.113141i
\(469\) −416.747 2363.49i −0.0410311 0.232699i
\(470\) −1225.62 2122.84i −0.120285 0.208339i
\(471\) 9857.71 17074.0i 0.964372 1.67034i
\(472\) −3138.19 1142.21i −0.306032 0.111386i
\(473\) 1569.46 + 2718.38i 0.152566 + 0.264252i
\(474\) 6073.26 + 5096.07i 0.588511 + 0.493819i
\(475\) 5616.24 0.542507
\(476\) 2597.23 + 2179.34i 0.250092 + 0.209852i
\(477\) −9439.19 + 3435.58i −0.906060 + 0.329779i
\(478\) −254.200 + 1441.64i −0.0243240 + 0.137948i
\(479\) −1056.57 5992.10i −0.100785 0.571578i −0.992821 0.119614i \(-0.961834\pi\)
0.892036 0.451965i \(-0.149277\pi\)
\(480\) −1567.61 −0.149065
\(481\) 4168.57 + 4245.53i 0.395157 + 0.402452i
\(482\) 601.805 0.0568702
\(483\) 912.788 + 5176.68i 0.0859903 + 0.487675i
\(484\) 2026.64 11493.6i 0.190331 1.07942i
\(485\) 7420.42 2700.81i 0.694729 0.252861i
\(486\) −8299.00 6963.69i −0.774589 0.649957i
\(487\) 15263.3 1.42022 0.710111 0.704089i \(-0.248645\pi\)
0.710111 + 0.704089i \(0.248645\pi\)
\(488\) −288.161 241.796i −0.0267304 0.0224295i
\(489\) −4303.44 7453.77i −0.397972 0.689307i
\(490\) −3297.41 1200.16i −0.304004 0.110648i
\(491\) 7547.41 13072.5i 0.693706 1.20153i −0.276909 0.960896i \(-0.589310\pi\)
0.970615 0.240638i \(-0.0773567\pi\)
\(492\) −608.279 1053.57i −0.0557385 0.0965419i
\(493\) 4026.60 + 22836.0i 0.367848 + 2.08617i
\(494\) −3318.08 + 1207.68i −0.302201 + 0.109992i
\(495\) 6601.53 11434.2i 0.599427 1.03824i
\(496\) −1162.77 + 975.681i −0.105262 + 0.0883253i
\(497\) −3622.84 + 3039.92i −0.326975 + 0.274365i
\(498\) 18508.9 + 6736.68i 1.66547 + 0.606181i
\(499\) −769.972 + 4366.73i −0.0690755 + 0.391747i 0.930594 + 0.366052i \(0.119291\pi\)
−0.999670 + 0.0256945i \(0.991820\pi\)
\(500\) 928.868 5267.87i 0.0830805 0.471173i
\(501\) 15170.8 + 5521.71i 1.35285 + 0.492398i
\(502\) −9218.18 + 7734.97i −0.819577 + 0.687706i
\(503\) −5574.89 + 4677.89i −0.494179 + 0.414666i −0.855521 0.517768i \(-0.826763\pi\)
0.361342 + 0.932433i \(0.382319\pi\)
\(504\) 1049.77 1818.26i 0.0927790 0.160698i
\(505\) −9063.91 + 3298.99i −0.798690 + 0.290699i
\(506\) −1874.78 10632.4i −0.164712 0.934126i
\(507\) 5737.52 + 9937.67i 0.502588 + 0.870508i
\(508\) 1376.69 2384.50i 0.120238 0.208258i
\(509\) −10439.3 3799.59i −0.909063 0.330872i −0.155184 0.987886i \(-0.549597\pi\)
−0.753878 + 0.657014i \(0.771819\pi\)
\(510\) −5010.95 8679.21i −0.435075 0.753572i
\(511\) 6066.50 + 5090.40i 0.525179 + 0.440677i
\(512\) 512.000 0.0441942
\(513\) −1830.59 1536.05i −0.157549 0.132199i
\(514\) 8840.28 3217.60i 0.758615 0.276113i
\(515\) −1398.62 + 7931.96i −0.119671 + 0.678688i
\(516\) −256.209 1453.03i −0.0218584 0.123965i
\(517\) −12491.4 −1.06261
\(518\) 3712.59 + 359.053i 0.314907 + 0.0304554i
\(519\) 21468.8 1.81575
\(520\) 234.878 + 1332.06i 0.0198079 + 0.112336i
\(521\) 1731.48 9819.70i 0.145600 0.825737i −0.821284 0.570519i \(-0.806742\pi\)
0.966884 0.255217i \(-0.0821470\pi\)
\(522\) 13493.4 4911.20i 1.13140 0.411796i
\(523\) 3555.15 + 2983.13i 0.297239 + 0.249413i 0.779194 0.626783i \(-0.215629\pi\)
−0.481955 + 0.876196i \(0.660073\pi\)
\(524\) −815.484 −0.0679859
\(525\) 4089.00 + 3431.08i 0.339921 + 0.285228i
\(526\) 3385.77 + 5864.32i 0.280659 + 0.486115i
\(527\) −9118.79 3318.97i −0.753739 0.274339i
\(528\) −3994.24 + 6918.22i −0.329218 + 0.570221i
\(529\) 2654.16 + 4597.15i 0.218145 + 0.377837i
\(530\) −704.457 3995.17i −0.0577352 0.327433i
\(531\) −12423.9 + 4521.94i −1.01535 + 0.369558i
\(532\) −1106.77 + 1916.99i −0.0901968 + 0.156225i
\(533\) −804.121 + 674.737i −0.0653477 + 0.0548333i
\(534\) −2201.95 + 1847.65i −0.178441 + 0.149730i
\(535\) 10873.2 + 3957.52i 0.878671 + 0.319810i
\(536\) 402.343 2281.80i 0.0324227 0.183878i
\(537\) −4255.04 + 24131.5i −0.341934 + 1.93920i
\(538\) 12245.2 + 4456.88i 0.981277 + 0.357156i
\(539\) −13698.3 + 11494.2i −1.09467 + 0.918537i
\(540\) −701.235 + 588.406i −0.0558821 + 0.0468907i
\(541\) −7978.35 + 13818.9i −0.634041 + 1.09819i 0.352677 + 0.935745i \(0.385272\pi\)
−0.986718 + 0.162446i \(0.948062\pi\)
\(542\) −852.644 + 310.337i −0.0675723 + 0.0245943i
\(543\) 1656.88 + 9396.65i 0.130946 + 0.742631i
\(544\) 1636.63 + 2834.73i 0.128989 + 0.223415i
\(545\) 4631.30 8021.64i 0.364005 0.630476i
\(546\) −3153.58 1147.81i −0.247181 0.0899664i
\(547\) 2601.47 + 4505.87i 0.203347 + 0.352207i 0.949605 0.313450i \(-0.101485\pi\)
−0.746258 + 0.665657i \(0.768151\pi\)
\(548\) 411.700 + 345.457i 0.0320930 + 0.0269292i
\(549\) −1489.23 −0.115772
\(550\) −8398.41 7047.10i −0.651108 0.546345i
\(551\) −14226.1 + 5177.87i −1.09991 + 0.400335i
\(552\) −881.240 + 4997.76i −0.0679494 + 0.385360i
\(553\) −744.664 4223.20i −0.0572628 0.324754i
\(554\) 16279.6 1.24848
\(555\) −9949.30 4750.70i −0.760945 0.363344i
\(556\) −7088.90 −0.540713
\(557\) 460.913 + 2613.97i 0.0350620 + 0.198846i 0.997307 0.0733378i \(-0.0233651\pi\)
−0.962245 + 0.272184i \(0.912254\pi\)
\(558\) −1043.49 + 5917.95i −0.0791660 + 0.448973i
\(559\) −1196.31 + 435.421i −0.0905161 + 0.0329452i
\(560\) 649.553 + 545.040i 0.0490154 + 0.0411288i
\(561\) −51071.0 −3.84353
\(562\) −3176.33 2665.26i −0.238408 0.200048i
\(563\) −2784.99 4823.75i −0.208479 0.361095i 0.742757 0.669561i \(-0.233518\pi\)
−0.951235 + 0.308466i \(0.900184\pi\)
\(564\) 5517.49 + 2008.20i 0.411929 + 0.149930i
\(565\) −7354.96 + 12739.2i −0.547656 + 0.948568i
\(566\) −2569.98 4451.34i −0.190856 0.330572i
\(567\) 836.076 + 4741.62i 0.0619257 + 0.351198i
\(568\) −4290.47 + 1561.60i −0.316944 + 0.115358i
\(569\) −1917.68 + 3321.53i −0.141289 + 0.244720i −0.927982 0.372624i \(-0.878458\pi\)
0.786693 + 0.617344i \(0.211791\pi\)
\(570\) 5012.28 4205.80i 0.368318 0.309055i
\(571\) −588.452 + 493.769i −0.0431277 + 0.0361885i −0.664097 0.747647i \(-0.731184\pi\)
0.620969 + 0.783835i \(0.286739\pi\)
\(572\) 6477.15 + 2357.49i 0.473467 + 0.172328i
\(573\) 6478.64 36742.2i 0.472337 2.67876i
\(574\) −114.268 + 648.047i −0.00830917 + 0.0471236i
\(575\) −6544.69 2382.07i −0.474665 0.172764i
\(576\) 1552.76 1302.92i 0.112323 0.0942504i
\(577\) 3360.50 2819.79i 0.242460 0.203448i −0.513457 0.858115i \(-0.671636\pi\)
0.755917 + 0.654667i \(0.227191\pi\)
\(578\) −5550.14 + 9613.12i −0.399403 + 0.691787i
\(579\) 27075.8 9854.80i 1.94341 0.707343i
\(580\) 1007.03 + 5711.15i 0.0720942 + 0.408866i
\(581\) −5327.05 9226.72i −0.380384 0.658845i
\(582\) −9457.61 + 16381.1i −0.673592 + 1.16670i
\(583\) −19426.5 7070.68i −1.38004 0.502294i
\(584\) 3822.77 + 6621.24i 0.270869 + 0.469159i
\(585\) 4102.10 + 3442.07i 0.289916 + 0.243269i
\(586\) 4965.93 0.350069
\(587\) 12770.6 + 10715.8i 0.897953 + 0.753472i 0.969789 0.243944i \(-0.0784415\pi\)
−0.0718363 + 0.997416i \(0.522886\pi\)
\(588\) 7898.45 2874.80i 0.553957 0.201624i
\(589\) 1100.15 6239.28i 0.0769627 0.436477i
\(590\) −927.211 5258.48i −0.0646995 0.366929i
\(591\) 33511.8 2.33247
\(592\) 3249.56 + 1551.63i 0.225601 + 0.107722i
\(593\) −6291.75 −0.435702 −0.217851 0.975982i \(-0.569905\pi\)
−0.217851 + 0.975982i \(0.569905\pi\)
\(594\) 810.037 + 4593.95i 0.0559533 + 0.317327i
\(595\) −941.330 + 5338.55i −0.0648585 + 0.367831i
\(596\) −11780.4 + 4287.72i −0.809639 + 0.294684i
\(597\) −9308.36 7810.64i −0.638134 0.535458i
\(598\) 4378.83 0.299438
\(599\) 12260.3 + 10287.6i 0.836299 + 0.701738i 0.956728 0.290984i \(-0.0939826\pi\)
−0.120429 + 0.992722i \(0.538427\pi\)
\(600\) 2576.66 + 4462.90i 0.175319 + 0.303662i
\(601\) 501.386 + 182.490i 0.0340299 + 0.0123859i 0.358979 0.933346i \(-0.383125\pi\)
−0.324949 + 0.945732i \(0.605347\pi\)
\(602\) −399.039 + 691.156i −0.0270160 + 0.0467931i
\(603\) −4586.44 7943.95i −0.309742 0.536489i
\(604\) 335.279 + 1901.46i 0.0225866 + 0.128095i
\(605\) 17535.1 6382.24i 1.17835 0.428884i
\(606\) 11552.3 20009.2i 0.774390 1.34128i
\(607\) −15747.0 + 13213.3i −1.05297 + 0.883545i −0.993403 0.114680i \(-0.963416\pi\)
−0.0595653 + 0.998224i \(0.518971\pi\)
\(608\) −1637.07 + 1373.66i −0.109197 + 0.0916272i
\(609\) −13520.8 4921.17i −0.899657 0.327448i
\(610\) 104.440 592.308i 0.00693221 0.0393145i
\(611\) 879.751 4989.32i 0.0582503 0.330354i
\(612\) 12177.2 + 4432.12i 0.804302 + 0.292742i
\(613\) 3250.64 2727.61i 0.214180 0.179718i −0.529386 0.848381i \(-0.677578\pi\)
0.743565 + 0.668663i \(0.233133\pi\)
\(614\) 14683.7 12321.1i 0.965125 0.809836i
\(615\) 972.564 1684.53i 0.0637684 0.110450i
\(616\) 4060.43 1477.88i 0.265583 0.0966644i
\(617\) −3013.95 17092.9i −0.196656 1.11529i −0.910040 0.414520i \(-0.863950\pi\)
0.713384 0.700773i \(-0.247162\pi\)
\(618\) −9646.46 16708.2i −0.627893 1.08754i
\(619\) 1103.47 1911.27i 0.0716515 0.124104i −0.827974 0.560767i \(-0.810506\pi\)
0.899625 + 0.436663i \(0.143840\pi\)
\(620\) −2280.56 830.055i −0.147725 0.0537674i
\(621\) 1481.72 + 2566.41i 0.0957475 + 0.165840i
\(622\) 414.073 + 347.448i 0.0266926 + 0.0223978i
\(623\) 1554.80 0.0999869
\(624\) −2481.97 2082.62i −0.159228 0.133608i
\(625\) −1841.40 + 670.215i −0.117850 + 0.0428937i
\(626\) 1128.23 6398.48i 0.0720335 0.408522i
\(627\) −5789.97 32836.6i −0.368787 2.09149i
\(628\) −10295.6 −0.654203
\(629\) 1796.62 + 22951.3i 0.113889 + 1.45489i
\(630\) 3356.91 0.212290
\(631\) −4064.03 23048.3i −0.256397 1.45410i −0.792461 0.609922i \(-0.791201\pi\)
0.536064 0.844177i \(-0.319911\pi\)
\(632\) 718.927 4077.24i 0.0452490 0.256620i
\(633\) 22031.5 8018.81i 1.38337 0.503506i
\(634\) −11301.6 9483.17i −0.707956 0.594046i
\(635\) 4402.31 0.275119
\(636\) 7444.01 + 6246.27i 0.464111 + 0.389435i
\(637\) −3626.27 6280.88i −0.225554 0.390671i
\(638\) 27770.4 + 10107.6i 1.72326 + 0.627217i
\(639\) −9037.92 + 15654.1i −0.559522 + 0.969120i
\(640\) 409.312 + 708.950i 0.0252805 + 0.0437870i
\(641\) 2622.07 + 14870.5i 0.161569 + 0.916301i 0.952532 + 0.304438i \(0.0984686\pi\)
−0.790964 + 0.611863i \(0.790420\pi\)
\(642\) −26045.1 + 9479.64i −1.60112 + 0.582760i
\(643\) −1789.32 + 3099.20i −0.109742 + 0.190078i −0.915666 0.401941i \(-0.868336\pi\)
0.805924 + 0.592019i \(0.201669\pi\)
\(644\) 2102.81 1764.47i 0.128668 0.107965i
\(645\) 1807.14 1516.37i 0.110320 0.0925692i
\(646\) −12838.4 4672.78i −0.781917 0.284594i
\(647\) −4468.84 + 25344.0i −0.271543 + 1.53999i 0.478192 + 0.878255i \(0.341292\pi\)
−0.749734 + 0.661739i \(0.769819\pi\)
\(648\) −807.179 + 4577.74i −0.0489336 + 0.277516i
\(649\) −25569.3 9306.48i −1.54651 0.562883i
\(650\) 3406.24 2858.17i 0.205544 0.172472i
\(651\) 4612.69 3870.50i 0.277704 0.233022i
\(652\) −2247.30 + 3892.44i −0.134987 + 0.233803i
\(653\) 5979.41 2176.33i 0.358335 0.130423i −0.156579 0.987666i \(-0.550046\pi\)
0.514913 + 0.857242i \(0.327824\pi\)
\(654\) 3852.76 + 21850.1i 0.230359 + 1.30643i
\(655\) −651.929 1129.17i −0.0388901 0.0673595i
\(656\) −317.650 + 550.186i −0.0189057 + 0.0327457i
\(657\) 28442.9 + 10352.4i 1.68898 + 0.614740i
\(658\) −1587.99 2750.48i −0.0940825 0.162956i
\(659\) −17213.9 14444.2i −1.01754 0.853817i −0.0282234 0.999602i \(-0.508985\pi\)
−0.989316 + 0.145784i \(0.953429\pi\)
\(660\) −12772.6 −0.753291
\(661\) 16834.8 + 14126.0i 0.990615 + 0.831225i 0.985657 0.168763i \(-0.0539772\pi\)
0.00495850 + 0.999988i \(0.498422\pi\)
\(662\) −2562.82 + 932.789i −0.150463 + 0.0547641i
\(663\) 3596.86 20398.8i 0.210694 1.19491i
\(664\) −1786.12 10129.6i −0.104390 0.592025i
\(665\) −3539.19 −0.206382
\(666\) 13803.5 3563.66i 0.803118 0.207341i
\(667\) 18774.0 1.08985
\(668\) −1463.99 8302.70i −0.0847956 0.480900i
\(669\) −2789.85 + 15822.0i −0.161229 + 0.914373i
\(670\) 3481.19 1267.05i 0.200731 0.0730602i
\(671\) −2347.88 1970.10i −0.135080 0.113346i
\(672\) −2031.09 −0.116594
\(673\) −1952.49 1638.33i −0.111832 0.0938380i 0.585157 0.810920i \(-0.301033\pi\)
−0.696989 + 0.717082i \(0.745477\pi\)
\(674\) 1309.64 + 2268.36i 0.0748449 + 0.129635i
\(675\) 2827.77 + 1029.22i 0.161246 + 0.0586886i
\(676\) 2996.20 5189.56i 0.170471 0.295264i
\(677\) −10464.6 18125.2i −0.594071 1.02896i −0.993677 0.112275i \(-0.964186\pi\)
0.399606 0.916687i \(-0.369147\pi\)
\(678\) −6118.56 34700.1i −0.346581 1.96556i
\(679\) 9614.34 3499.33i 0.543394 0.197779i
\(680\) −2616.77 + 4532.38i −0.147571 + 0.255601i
\(681\) −23266.8 + 19523.1i −1.30923 + 1.09857i
\(682\) −9474.02 + 7949.65i −0.531934 + 0.446346i
\(683\) 2574.24 + 936.947i 0.144218 + 0.0524909i 0.413120 0.910676i \(-0.364439\pi\)
−0.268903 + 0.963167i \(0.586661\pi\)
\(684\) −1469.14 + 8331.89i −0.0821255 + 0.465757i
\(685\) −149.215 + 846.239i −0.00832293 + 0.0472017i
\(686\) −9613.98 3499.20i −0.535078 0.194752i
\(687\) −2713.04 + 2276.51i −0.150668 + 0.126426i
\(688\) −590.233 + 495.265i −0.0327070 + 0.0274445i
\(689\) 4192.35 7261.36i 0.231808 0.401503i
\(690\) −7624.73 + 2775.17i −0.420679 + 0.153115i
\(691\) 2820.86 + 15997.9i 0.155297 + 0.880735i 0.958513 + 0.285047i \(0.0920093\pi\)
−0.803216 + 0.595688i \(0.796880\pi\)
\(692\) −5605.62 9709.22i −0.307939 0.533366i
\(693\) 8553.33 14814.8i 0.468852 0.812075i
\(694\) −18208.8 6627.46i −0.995960 0.362500i
\(695\) −5667.14 9815.77i −0.309305 0.535731i
\(696\) −10641.3 8929.11i −0.579537 0.486289i
\(697\) −4061.54 −0.220720
\(698\) 247.183 + 207.411i 0.0134040 + 0.0112473i
\(699\) 33752.1 12284.8i 1.82636 0.664739i
\(700\) 484.038 2745.12i 0.0261356 0.148222i
\(701\) −221.942 1258.70i −0.0119581 0.0678178i 0.978245 0.207454i \(-0.0665178\pi\)
−0.990203 + 0.139636i \(0.955407\pi\)
\(702\) −1891.96 −0.101720
\(703\) −14553.0 + 3757.16i −0.780766 + 0.201570i
\(704\) 4171.67 0.223332
\(705\) 1630.20 + 9245.32i 0.0870877 + 0.493899i
\(706\) −1055.58 + 5986.48i −0.0562709 + 0.319128i
\(707\) −11743.7 + 4274.37i −0.624709 + 0.227375i
\(708\) 9797.86 + 8221.38i 0.520094 + 0.436410i
\(709\) 18302.2 0.969467 0.484734 0.874662i \(-0.338917\pi\)
0.484734 + 0.874662i \(0.338917\pi\)
\(710\) −5592.27 4692.47i −0.295597 0.248036i
\(711\) −8195.28 14194.6i −0.432274 0.748721i
\(712\) 1410.54 + 513.394i 0.0742446 + 0.0270228i
\(713\) −3928.35 + 6804.10i −0.206336 + 0.357385i
\(714\) −6492.48 11245.3i −0.340301 0.589419i
\(715\) 1913.74 + 10853.4i 0.100098 + 0.567682i
\(716\) 12024.5 4376.55i 0.627619 0.228435i
\(717\) 2803.24 4855.35i 0.146009 0.252896i
\(718\) 13400.0 11244.0i 0.696498 0.584431i
\(719\) −20098.1 + 16864.3i −1.04247 + 0.874732i −0.992281 0.124008i \(-0.960425\pi\)
−0.0501838 + 0.998740i \(0.515981\pi\)
\(720\) 3045.44 + 1108.45i 0.157635 + 0.0573743i
\(721\) −1812.14 + 10277.1i −0.0936026 + 0.530846i
\(722\) −833.199 + 4725.31i −0.0429480 + 0.243570i
\(723\) −2165.83 788.299i −0.111408 0.0405493i
\(724\) 3816.99 3202.84i 0.195936 0.164410i
\(725\) 14604.1 12254.3i 0.748113 0.627741i
\(726\) −22349.1 + 38709.8i −1.14250 + 1.97886i
\(727\) 31272.2 11382.1i 1.59535 0.580661i 0.616883 0.787055i \(-0.288395\pi\)
0.978469 + 0.206394i \(0.0661728\pi\)
\(728\) 304.323 + 1725.90i 0.0154931 + 0.0878655i
\(729\) 12901.5 + 22346.0i 0.655463 + 1.13529i
\(730\) −6112.14 + 10586.5i −0.309891 + 0.536747i
\(731\) −4628.78 1684.74i −0.234202 0.0852425i
\(732\) 720.336 + 1247.66i 0.0363721 + 0.0629983i
\(733\) 26187.0 + 21973.5i 1.31956 + 1.10724i 0.986398 + 0.164374i \(0.0525605\pi\)
0.333163 + 0.942869i \(0.391884\pi\)
\(734\) −5686.77 −0.285971
\(735\) 10295.0 + 8638.50i 0.516647 + 0.433518i
\(736\) 2490.32 906.404i 0.124721 0.0453947i
\(737\) 3278.21 18591.7i 0.163846 0.929216i
\(738\) 436.746 + 2476.91i 0.0217843 + 0.123545i
\(739\) −23223.6 −1.15601 −0.578007 0.816032i \(-0.696169\pi\)
−0.578007 + 0.816032i \(0.696169\pi\)
\(740\) 449.325 + 5739.99i 0.0223210 + 0.285143i
\(741\) 13523.4 0.670436
\(742\) −912.737 5176.39i −0.0451585 0.256107i
\(743\) −925.295 + 5247.61i −0.0456875 + 0.259107i −0.999093 0.0425858i \(-0.986440\pi\)
0.953405 + 0.301692i \(0.0975515\pi\)
\(744\) 5462.73 1988.27i 0.269185 0.0979752i
\(745\) −15354.8 12884.2i −0.755109 0.633611i
\(746\) 21865.1 1.07311
\(747\) −31194.2 26175.0i −1.52789 1.28205i
\(748\) 13334.9 + 23096.8i 0.651836 + 1.12901i
\(749\) 14088.0 + 5127.60i 0.687267 + 0.250145i
\(750\) −10243.2 + 17741.8i −0.498707 + 0.863786i
\(751\) 10840.4 + 18776.1i 0.526725 + 0.912314i 0.999515 + 0.0311394i \(0.00991357\pi\)
−0.472790 + 0.881175i \(0.656753\pi\)
\(752\) −532.441 3019.63i −0.0258193 0.146429i
\(753\) 43307.3 15762.6i 2.09589 0.762841i
\(754\) −5993.01 + 10380.2i −0.289460 + 0.501359i
\(755\) −2364.85 + 1984.35i −0.113995 + 0.0956528i
\(756\) −908.562 + 762.374i −0.0437091 + 0.0366763i
\(757\) 6627.05 + 2412.05i 0.318183 + 0.115809i 0.496174 0.868223i \(-0.334738\pi\)
−0.177992 + 0.984032i \(0.556960\pi\)
\(758\) −1790.60 + 10155.0i −0.0858016 + 0.486605i
\(759\) −7180.16 + 40720.7i −0.343377 + 1.94739i
\(760\) −3210.80 1168.64i −0.153247 0.0557775i
\(761\) 18606.0 15612.3i 0.886290 0.743685i −0.0811727 0.996700i \(-0.525867\pi\)
0.967462 + 0.253015i \(0.0814221\pi\)
\(762\) −8078.00 + 6778.24i −0.384035 + 0.322244i
\(763\) 6000.59 10393.3i 0.284713 0.493137i
\(764\) −18308.2 + 6663.64i −0.866973 + 0.315552i
\(765\) 3597.87 + 20404.5i 0.170041 + 0.964350i
\(766\) −3839.18 6649.66i −0.181091 0.313658i
\(767\) 5518.00 9557.46i 0.259770 0.449934i
\(768\) −1842.64 670.665i −0.0865760 0.0315111i
\(769\) −17854.7 30925.3i −0.837267 1.45019i −0.892171 0.451698i \(-0.850819\pi\)
0.0549039 0.998492i \(-0.482515\pi\)
\(770\) 5292.43 + 4440.87i 0.247696 + 0.207842i
\(771\) −36030.0