Properties

Label 74.4.f.a.49.3
Level $74$
Weight $4$
Character 74.49
Analytic conductor $4.366$
Analytic rank $0$
Dimension $24$
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: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 49.3
Character \(\chi\) \(=\) 74.49
Dual form 74.4.f.a.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.53209 + 1.28558i) q^{2} +(3.31240 + 2.77944i) q^{3} +(0.694593 - 3.93923i) q^{4} +(10.2218 - 3.72042i) q^{5} -8.64807 q^{6} +(12.8394 - 4.67315i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-1.44175 - 8.17656i) q^{9} +O(q^{10})\) \(q+(-1.53209 + 1.28558i) q^{2} +(3.31240 + 2.77944i) q^{3} +(0.694593 - 3.93923i) q^{4} +(10.2218 - 3.72042i) q^{5} -8.64807 q^{6} +(12.8394 - 4.67315i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-1.44175 - 8.17656i) q^{9} +(-10.8778 + 18.8409i) q^{10} +(16.5407 + 28.6494i) q^{11} +(13.2496 - 11.1178i) q^{12} +(-4.61914 + 26.1964i) q^{13} +(-13.6634 + 23.6657i) q^{14} +(44.1993 + 16.0872i) q^{15} +(-15.0351 - 5.47232i) q^{16} +(8.03033 + 45.5422i) q^{17} +(12.7205 + 10.6737i) q^{18} +(19.8141 + 16.6260i) q^{19} +(-7.55563 - 42.8501i) q^{20} +(55.5180 + 20.2069i) q^{21} +(-62.1728 - 22.6290i) q^{22} +(21.3863 - 37.0421i) q^{23} +(-6.00689 + 34.0668i) q^{24} +(-5.11237 + 4.28979i) q^{25} +(-26.6006 - 46.0735i) q^{26} +(76.3251 - 132.199i) q^{27} +(-9.49049 - 53.8232i) q^{28} +(-87.7894 - 152.056i) q^{29} +(-88.3987 + 32.1745i) q^{30} -191.093 q^{31} +(30.0702 - 10.9446i) q^{32} +(-24.8396 + 140.872i) q^{33} +(-70.8512 - 59.4512i) q^{34} +(113.855 - 95.5359i) q^{35} -33.2108 q^{36} +(-133.974 - 180.842i) q^{37} -51.7311 q^{38} +(-88.1118 + 73.9346i) q^{39} +(66.6630 + 55.9369i) q^{40} +(1.84706 - 10.4752i) q^{41} +(-111.036 + 40.4138i) q^{42} -42.6629 q^{43} +(124.346 - 45.2581i) q^{44} +(-45.1575 - 78.2151i) q^{45} +(14.8547 + 84.2454i) q^{46} +(167.460 - 290.049i) q^{47} +(-34.5923 - 59.9156i) q^{48} +(-119.742 + 100.475i) q^{49} +(2.31776 - 13.1447i) q^{50} +(-99.9821 + 173.174i) q^{51} +(99.9854 + 36.3917i) q^{52} +(351.157 + 127.811i) q^{53} +(53.0149 + 300.662i) q^{54} +(275.663 + 231.309i) q^{55} +(83.7341 + 70.2612i) q^{56} +(19.4214 + 110.144i) q^{57} +(329.980 + 120.103i) q^{58} +(240.656 + 87.5915i) q^{59} +(94.0719 - 162.937i) q^{60} +(-107.084 + 607.305i) q^{61} +(292.771 - 245.664i) q^{62} +(-56.7215 - 98.2445i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(50.2460 + 284.959i) q^{65} +(-143.045 - 247.762i) q^{66} +(-251.586 + 91.5698i) q^{67} +184.979 q^{68} +(173.796 - 63.2566i) q^{69} +(-51.6178 + 292.739i) q^{70} +(-753.796 - 632.510i) q^{71} +(50.8819 - 42.6950i) q^{72} -1135.63 q^{73} +(437.747 + 104.833i) q^{74} -28.8574 q^{75} +(79.2566 - 66.5042i) q^{76} +(346.255 + 290.543i) q^{77} +(39.9467 - 226.549i) q^{78} +(20.5064 - 7.46373i) q^{79} -174.045 q^{80} +(409.605 - 149.084i) q^{81} +(10.6368 + 18.4235i) q^{82} +(-150.970 - 856.194i) q^{83} +(118.162 - 204.663i) q^{84} +(251.521 + 435.646i) q^{85} +(65.3633 - 54.8464i) q^{86} +(131.835 - 747.675i) q^{87} +(-132.326 + 229.195i) q^{88} +(599.373 + 218.154i) q^{89} +(169.737 + 61.7791i) q^{90} +(63.1131 + 357.932i) q^{91} +(-131.063 - 109.975i) q^{92} +(-632.977 - 531.131i) q^{93} +(116.316 + 659.663i) q^{94} +(264.392 + 96.2307i) q^{95} +(130.025 + 47.3251i) q^{96} +(-661.836 + 1146.33i) q^{97} +(54.2866 - 307.874i) q^{98} +(210.406 - 176.551i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9} + 6 q^{10} + 87 q^{11} + 24 q^{12} - 45 q^{13} + 6 q^{14} - 141 q^{15} + 120 q^{17} - 192 q^{18} - 177 q^{19} - 36 q^{20} + 159 q^{21} - 42 q^{22} + 45 q^{23} - 48 q^{24} - 321 q^{25} + 150 q^{26} + 435 q^{27} + 96 q^{28} - 153 q^{29} + 282 q^{30} + 1002 q^{31} - 210 q^{33} - 456 q^{34} + 3 q^{35} + 216 q^{36} - 1239 q^{37} + 780 q^{38} - 474 q^{39} - 144 q^{40} - 1437 q^{41} - 318 q^{42} + 504 q^{43} + 84 q^{44} - 171 q^{45} + 714 q^{46} + 396 q^{47} + 144 q^{48} + 399 q^{49} - 1212 q^{50} - 972 q^{51} + 504 q^{52} + 1173 q^{53} + 360 q^{54} + 1755 q^{55} - 408 q^{56} - 3525 q^{57} + 24 q^{58} + 1260 q^{59} - 108 q^{60} + 2946 q^{61} - 1380 q^{62} + 2514 q^{63} - 768 q^{64} + 1599 q^{65} - 252 q^{66} - 645 q^{67} + 1200 q^{68} - 5037 q^{69} - 366 q^{70} - 753 q^{71} - 768 q^{72} - 876 q^{73} - 1338 q^{74} + 6960 q^{75} - 708 q^{76} + 1197 q^{77} - 1590 q^{78} - 3276 q^{79} + 96 q^{80} + 36 q^{81} - 216 q^{82} - 1110 q^{83} + 504 q^{84} + 1992 q^{85} - 192 q^{86} + 1125 q^{87} - 696 q^{88} + 3045 q^{89} + 4590 q^{90} + 5046 q^{91} + 2604 q^{92} - 4917 q^{93} + 78 q^{94} + 2274 q^{95} + 384 q^{96} - 624 q^{97} + 1902 q^{98} - 5904 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53209 + 1.28558i −0.541675 + 0.454519i
\(3\) 3.31240 + 2.77944i 0.637473 + 0.534903i 0.903241 0.429134i \(-0.141181\pi\)
−0.265768 + 0.964037i \(0.585626\pi\)
\(4\) 0.694593 3.93923i 0.0868241 0.492404i
\(5\) 10.2218 3.72042i 0.914264 0.332765i 0.158310 0.987390i \(-0.449396\pi\)
0.755954 + 0.654625i \(0.227173\pi\)
\(6\) −8.64807 −0.588427
\(7\) 12.8394 4.67315i 0.693261 0.252327i 0.0287304 0.999587i \(-0.490854\pi\)
0.664531 + 0.747261i \(0.268631\pi\)
\(8\) 4.00000 + 6.92820i 0.176777 + 0.306186i
\(9\) −1.44175 8.17656i −0.0533981 0.302836i
\(10\) −10.8778 + 18.8409i −0.343986 + 0.595801i
\(11\) 16.5407 + 28.6494i 0.453383 + 0.785282i 0.998594 0.0530166i \(-0.0168836\pi\)
−0.545211 + 0.838299i \(0.683550\pi\)
\(12\) 13.2496 11.1178i 0.318736 0.267452i
\(13\) −4.61914 + 26.1964i −0.0985476 + 0.558891i 0.895055 + 0.445956i \(0.147136\pi\)
−0.993602 + 0.112935i \(0.963975\pi\)
\(14\) −13.6634 + 23.6657i −0.260835 + 0.451780i
\(15\) 44.1993 + 16.0872i 0.760815 + 0.276914i
\(16\) −15.0351 5.47232i −0.234923 0.0855050i
\(17\) 8.03033 + 45.5422i 0.114567 + 0.649742i 0.986964 + 0.160943i \(0.0514537\pi\)
−0.872397 + 0.488799i \(0.837435\pi\)
\(18\) 12.7205 + 10.6737i 0.166569 + 0.139768i
\(19\) 19.8141 + 16.6260i 0.239246 + 0.200751i 0.754525 0.656271i \(-0.227867\pi\)
−0.515279 + 0.857023i \(0.672312\pi\)
\(20\) −7.55563 42.8501i −0.0844745 0.479079i
\(21\) 55.5180 + 20.2069i 0.576905 + 0.209976i
\(22\) −62.1728 22.6290i −0.602513 0.219297i
\(23\) 21.3863 37.0421i 0.193885 0.335818i −0.752650 0.658421i \(-0.771225\pi\)
0.946534 + 0.322603i \(0.104558\pi\)
\(24\) −6.00689 + 34.0668i −0.0510896 + 0.289744i
\(25\) −5.11237 + 4.28979i −0.0408990 + 0.0343183i
\(26\) −26.6006 46.0735i −0.200646 0.347529i
\(27\) 76.3251 132.199i 0.544029 0.942285i
\(28\) −9.49049 53.8232i −0.0640548 0.363273i
\(29\) −87.7894 152.056i −0.562141 0.973656i −0.997309 0.0733074i \(-0.976645\pi\)
0.435169 0.900349i \(-0.356689\pi\)
\(30\) −88.3987 + 32.1745i −0.537977 + 0.195808i
\(31\) −191.093 −1.10714 −0.553569 0.832803i \(-0.686735\pi\)
−0.553569 + 0.832803i \(0.686735\pi\)
\(32\) 30.0702 10.9446i 0.166116 0.0604612i
\(33\) −24.8396 + 140.872i −0.131031 + 0.743112i
\(34\) −70.8512 59.4512i −0.357379 0.299876i
\(35\) 113.855 95.5359i 0.549858 0.461386i
\(36\) −33.2108 −0.153754
\(37\) −133.974 180.842i −0.595275 0.803522i
\(38\) −51.7311 −0.220839
\(39\) −88.1118 + 73.9346i −0.361774 + 0.303564i
\(40\) 66.6630 + 55.9369i 0.263508 + 0.221110i
\(41\) 1.84706 10.4752i 0.00703567 0.0399013i −0.981088 0.193563i \(-0.937996\pi\)
0.988123 + 0.153662i \(0.0491067\pi\)
\(42\) −111.036 + 40.4138i −0.407934 + 0.148476i
\(43\) −42.6629 −0.151303 −0.0756515 0.997134i \(-0.524104\pi\)
−0.0756515 + 0.997134i \(0.524104\pi\)
\(44\) 124.346 45.2581i 0.426041 0.155066i
\(45\) −45.1575 78.2151i −0.149593 0.259103i
\(46\) 14.8547 + 84.2454i 0.0476133 + 0.270028i
\(47\) 167.460 290.049i 0.519714 0.900171i −0.480024 0.877256i \(-0.659372\pi\)
0.999737 0.0229151i \(-0.00729474\pi\)
\(48\) −34.5923 59.9156i −0.104020 0.180168i
\(49\) −119.742 + 100.475i −0.349102 + 0.292931i
\(50\) 2.31776 13.1447i 0.00655562 0.0371787i
\(51\) −99.9821 + 173.174i −0.274516 + 0.475475i
\(52\) 99.9854 + 36.3917i 0.266644 + 0.0970504i
\(53\) 351.157 + 127.811i 0.910096 + 0.331248i 0.754291 0.656540i \(-0.227981\pi\)
0.155805 + 0.987788i \(0.450203\pi\)
\(54\) 53.0149 + 300.662i 0.133600 + 0.757684i
\(55\) 275.663 + 231.309i 0.675826 + 0.567085i
\(56\) 83.7341 + 70.2612i 0.199811 + 0.167662i
\(57\) 19.4214 + 110.144i 0.0451304 + 0.255947i
\(58\) 329.980 + 120.103i 0.747044 + 0.271902i
\(59\) 240.656 + 87.5915i 0.531029 + 0.193279i 0.593598 0.804762i \(-0.297707\pi\)
−0.0625687 + 0.998041i \(0.519929\pi\)
\(60\) 94.0719 162.937i 0.202411 0.350585i
\(61\) −107.084 + 607.305i −0.224766 + 1.27471i 0.638365 + 0.769733i \(0.279611\pi\)
−0.863132 + 0.504979i \(0.831500\pi\)
\(62\) 292.771 245.664i 0.599710 0.503216i
\(63\) −56.7215 98.2445i −0.113432 0.196471i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) 50.2460 + 284.959i 0.0958808 + 0.543767i
\(66\) −143.045 247.762i −0.266783 0.462081i
\(67\) −251.586 + 91.5698i −0.458748 + 0.166971i −0.561049 0.827783i \(-0.689602\pi\)
0.102300 + 0.994754i \(0.467380\pi\)
\(68\) 184.979 0.329883
\(69\) 173.796 63.2566i 0.303226 0.110365i
\(70\) −51.6178 + 292.739i −0.0881357 + 0.499843i
\(71\) −753.796 632.510i −1.25999 1.05726i −0.995683 0.0928168i \(-0.970413\pi\)
−0.264305 0.964439i \(-0.585143\pi\)
\(72\) 50.8819 42.6950i 0.0832846 0.0698841i
\(73\) −1135.63 −1.82076 −0.910380 0.413773i \(-0.864211\pi\)
−0.910380 + 0.413773i \(0.864211\pi\)
\(74\) 437.747 + 104.833i 0.687662 + 0.164684i
\(75\) −28.8574 −0.0444289
\(76\) 79.2566 66.5042i 0.119623 0.100376i
\(77\) 346.255 + 290.543i 0.512461 + 0.430005i
\(78\) 39.9467 226.549i 0.0579881 0.328867i
\(79\) 20.5064 7.46373i 0.0292045 0.0106296i −0.327377 0.944894i \(-0.606165\pi\)
0.356581 + 0.934264i \(0.383942\pi\)
\(80\) −174.045 −0.243235
\(81\) 409.605 149.084i 0.561872 0.204505i
\(82\) 10.6368 + 18.4235i 0.0143249 + 0.0248114i
\(83\) −150.970 856.194i −0.199652 1.13228i −0.905636 0.424056i \(-0.860606\pi\)
0.705984 0.708228i \(-0.250505\pi\)
\(84\) 118.162 204.663i 0.153482 0.265839i
\(85\) 251.521 + 435.646i 0.320956 + 0.555912i
\(86\) 65.3633 54.8464i 0.0819571 0.0687702i
\(87\) 131.835 747.675i 0.162462 0.921370i
\(88\) −132.326 + 229.195i −0.160295 + 0.277639i
\(89\) 599.373 + 218.154i 0.713858 + 0.259823i 0.673316 0.739355i \(-0.264869\pi\)
0.0405420 + 0.999178i \(0.487092\pi\)
\(90\) 169.737 + 61.7791i 0.198798 + 0.0723566i
\(91\) 63.1131 + 357.932i 0.0727038 + 0.412324i
\(92\) −131.063 109.975i −0.148524 0.124627i
\(93\) −632.977 531.131i −0.705771 0.592212i
\(94\) 116.316 + 659.663i 0.127629 + 0.723820i
\(95\) 264.392 + 96.2307i 0.285537 + 0.103927i
\(96\) 130.025 + 47.3251i 0.138235 + 0.0503135i
\(97\) −661.836 + 1146.33i −0.692776 + 1.19992i 0.278149 + 0.960538i \(0.410279\pi\)
−0.970925 + 0.239385i \(0.923054\pi\)
\(98\) 54.2866 307.874i 0.0559568 0.317347i
\(99\) 210.406 176.551i 0.213602 0.179233i
\(100\) 13.3475 + 23.1185i 0.0133475 + 0.0231185i
\(101\) −317.994 + 550.781i −0.313283 + 0.542622i −0.979071 0.203519i \(-0.934762\pi\)
0.665788 + 0.746141i \(0.268095\pi\)
\(102\) −69.4469 393.853i −0.0674144 0.382326i
\(103\) −584.075 1011.65i −0.558744 0.967773i −0.997602 0.0692167i \(-0.977950\pi\)
0.438857 0.898557i \(-0.355383\pi\)
\(104\) −199.971 + 72.7834i −0.188546 + 0.0686250i
\(105\) 642.670 0.597316
\(106\) −702.313 + 255.621i −0.643535 + 0.234228i
\(107\) 239.322 1357.26i 0.216225 1.22627i −0.662543 0.749024i \(-0.730523\pi\)
0.878768 0.477250i \(-0.158366\pi\)
\(108\) −467.747 392.487i −0.416750 0.349695i
\(109\) 246.494 206.833i 0.216604 0.181753i −0.528029 0.849226i \(-0.677069\pi\)
0.744633 + 0.667474i \(0.232624\pi\)
\(110\) −719.706 −0.623829
\(111\) 58.8640 971.396i 0.0503345 0.830638i
\(112\) −218.614 −0.184438
\(113\) −1247.32 + 1046.62i −1.03839 + 0.871309i −0.991825 0.127606i \(-0.959271\pi\)
−0.0465609 + 0.998915i \(0.514826\pi\)
\(114\) −171.354 143.783i −0.140779 0.118128i
\(115\) 80.7934 458.202i 0.0655132 0.371544i
\(116\) −659.960 + 240.206i −0.528240 + 0.192263i
\(117\) 220.857 0.174514
\(118\) −481.312 + 175.183i −0.375494 + 0.136669i
\(119\) 315.930 + 547.207i 0.243372 + 0.421533i
\(120\) 65.3417 + 370.571i 0.0497071 + 0.281903i
\(121\) 118.309 204.918i 0.0888876 0.153958i
\(122\) −616.674 1068.11i −0.457631 0.792641i
\(123\) 35.2334 29.5643i 0.0258284 0.0216726i
\(124\) −132.732 + 752.759i −0.0961263 + 0.545159i
\(125\) −716.159 + 1240.42i −0.512442 + 0.887576i
\(126\) 213.203 + 77.5996i 0.150743 + 0.0548660i
\(127\) 2257.39 + 821.621i 1.57725 + 0.574072i 0.974604 0.223937i \(-0.0718911\pi\)
0.602645 + 0.798009i \(0.294113\pi\)
\(128\) −22.2270 126.055i −0.0153485 0.0870455i
\(129\) −141.317 118.579i −0.0964515 0.0809324i
\(130\) −443.318 371.988i −0.299089 0.250965i
\(131\) 202.759 + 1149.90i 0.135230 + 0.766927i 0.974699 + 0.223520i \(0.0717548\pi\)
−0.839469 + 0.543407i \(0.817134\pi\)
\(132\) 537.675 + 195.698i 0.354535 + 0.129040i
\(133\) 332.097 + 120.874i 0.216515 + 0.0788050i
\(134\) 267.732 463.726i 0.172601 0.298954i
\(135\) 288.342 1635.27i 0.183826 1.04253i
\(136\) −283.405 + 237.805i −0.178689 + 0.149938i
\(137\) −46.8515 81.1492i −0.0292175 0.0506062i 0.851047 0.525090i \(-0.175968\pi\)
−0.880264 + 0.474483i \(0.842635\pi\)
\(138\) −184.950 + 320.343i −0.114087 + 0.197604i
\(139\) −66.6962 378.253i −0.0406986 0.230813i 0.957673 0.287858i \(-0.0929432\pi\)
−0.998372 + 0.0570452i \(0.981832\pi\)
\(140\) −297.255 514.860i −0.179447 0.310812i
\(141\) 1360.87 495.316i 0.812807 0.295838i
\(142\) 1968.02 1.16305
\(143\) −826.915 + 300.973i −0.483567 + 0.176004i
\(144\) −23.0680 + 130.825i −0.0133495 + 0.0757089i
\(145\) −1463.08 1227.67i −0.837943 0.703118i
\(146\) 1739.89 1459.94i 0.986260 0.827571i
\(147\) −675.899 −0.379232
\(148\) −805.437 + 402.143i −0.447341 + 0.223351i
\(149\) 2915.66 1.60309 0.801546 0.597934i \(-0.204011\pi\)
0.801546 + 0.597934i \(0.204011\pi\)
\(150\) 44.2122 37.0984i 0.0240661 0.0201938i
\(151\) 1727.20 + 1449.29i 0.930844 + 0.781071i 0.975969 0.217911i \(-0.0699241\pi\)
−0.0451248 + 0.998981i \(0.514369\pi\)
\(152\) −35.9320 + 203.781i −0.0191742 + 0.108742i
\(153\) 360.801 131.321i 0.190647 0.0693900i
\(154\) −904.009 −0.473033
\(155\) −1953.31 + 710.946i −1.01222 + 0.368417i
\(156\) 230.044 + 398.447i 0.118066 + 0.204496i
\(157\) −143.687 814.890i −0.0730412 0.414237i −0.999302 0.0373543i \(-0.988107\pi\)
0.926261 0.376883i \(-0.123004\pi\)
\(158\) −21.8225 + 37.7976i −0.0109880 + 0.0190318i
\(159\) 807.932 + 1399.38i 0.402976 + 0.697974i
\(160\) 266.652 223.747i 0.131754 0.110555i
\(161\) 101.483 575.539i 0.0496769 0.281732i
\(162\) −435.892 + 754.988i −0.211401 + 0.366157i
\(163\) −1721.88 626.712i −0.827410 0.301153i −0.106615 0.994300i \(-0.534001\pi\)
−0.720795 + 0.693148i \(0.756223\pi\)
\(164\) −39.9813 14.5520i −0.0190367 0.00692878i
\(165\) 270.200 + 1532.38i 0.127485 + 0.723003i
\(166\) 1332.00 + 1117.68i 0.622791 + 0.522584i
\(167\) 2777.84 + 2330.89i 1.28716 + 1.08006i 0.992214 + 0.124542i \(0.0397461\pi\)
0.294946 + 0.955514i \(0.404698\pi\)
\(168\) 82.0744 + 465.467i 0.0376916 + 0.213759i
\(169\) 1399.59 + 509.408i 0.637045 + 0.231865i
\(170\) −945.408 344.100i −0.426526 0.155243i
\(171\) 107.377 185.982i 0.0480194 0.0831720i
\(172\) −29.6333 + 168.059i −0.0131367 + 0.0745022i
\(173\) −1445.01 + 1212.50i −0.635039 + 0.532861i −0.902490 0.430711i \(-0.858263\pi\)
0.267451 + 0.963571i \(0.413819\pi\)
\(174\) 759.209 + 1314.99i 0.330779 + 0.572926i
\(175\) −45.5928 + 78.9691i −0.0196943 + 0.0341114i
\(176\) −91.9125 521.262i −0.0393646 0.223248i
\(177\) 553.694 + 959.026i 0.235131 + 0.407259i
\(178\) −1198.75 + 436.308i −0.504774 + 0.183723i
\(179\) 1992.59 0.832027 0.416014 0.909358i \(-0.363427\pi\)
0.416014 + 0.909358i \(0.363427\pi\)
\(180\) −339.473 + 123.558i −0.140571 + 0.0511638i
\(181\) 277.673 1574.76i 0.114029 0.646692i −0.873197 0.487367i \(-0.837957\pi\)
0.987226 0.159324i \(-0.0509316\pi\)
\(182\) −556.843 467.247i −0.226791 0.190300i
\(183\) −2042.67 + 1714.01i −0.825130 + 0.692366i
\(184\) 342.180 0.137097
\(185\) −2042.26 1350.09i −0.811622 0.536544i
\(186\) 1652.59 0.651470
\(187\) −1171.93 + 983.365i −0.458288 + 0.384550i
\(188\) −1026.25 861.130i −0.398124 0.334066i
\(189\) 362.181 2054.03i 0.139391 0.790523i
\(190\) −528.783 + 192.461i −0.201905 + 0.0734875i
\(191\) −214.095 −0.0811065 −0.0405532 0.999177i \(-0.512912\pi\)
−0.0405532 + 0.999177i \(0.512912\pi\)
\(192\) −260.049 + 94.6501i −0.0977470 + 0.0355770i
\(193\) −1514.46 2623.12i −0.564835 0.978323i −0.997065 0.0765596i \(-0.975606\pi\)
0.432230 0.901763i \(-0.357727\pi\)
\(194\) −459.707 2607.13i −0.170129 0.964849i
\(195\) −625.592 + 1083.56i −0.229741 + 0.397924i
\(196\) 312.624 + 541.480i 0.113930 + 0.197332i
\(197\) 2570.21 2156.66i 0.929542 0.779978i −0.0461934 0.998933i \(-0.514709\pi\)
0.975735 + 0.218954i \(0.0702646\pi\)
\(198\) −95.3902 + 540.985i −0.0342378 + 0.194172i
\(199\) −1032.89 + 1789.02i −0.367938 + 0.637288i −0.989243 0.146281i \(-0.953270\pi\)
0.621305 + 0.783569i \(0.286603\pi\)
\(200\) −50.1700 18.2604i −0.0177378 0.00645602i
\(201\) −1087.87 395.951i −0.381753 0.138947i
\(202\) −220.876 1252.65i −0.0769346 0.436318i
\(203\) −1837.74 1542.05i −0.635390 0.533155i
\(204\) 612.726 + 514.138i 0.210291 + 0.176455i
\(205\) −20.0919 113.947i −0.00684528 0.0388215i
\(206\) 2195.41 + 799.062i 0.742530 + 0.270259i
\(207\) −333.711 121.461i −0.112051 0.0407831i
\(208\) 212.805 368.588i 0.0709391 0.122870i
\(209\) −148.585 + 842.669i −0.0491764 + 0.278893i
\(210\) −984.628 + 826.201i −0.323551 + 0.271492i
\(211\) −1095.97 1898.27i −0.357581 0.619349i 0.629975 0.776615i \(-0.283065\pi\)
−0.987556 + 0.157267i \(0.949732\pi\)
\(212\) 747.386 1294.51i 0.242126 0.419374i
\(213\) −738.856 4190.26i −0.237679 1.34794i
\(214\) 1378.20 + 2387.11i 0.440241 + 0.762521i
\(215\) −436.091 + 158.724i −0.138331 + 0.0503483i
\(216\) 1221.20 0.384686
\(217\) −2453.51 + 893.006i −0.767537 + 0.279360i
\(218\) −111.752 + 633.774i −0.0347191 + 0.196902i
\(219\) −3761.67 3156.41i −1.16068 0.973930i
\(220\) 1102.65 925.236i 0.337913 0.283543i
\(221\) −1230.14 −0.374426
\(222\) 1158.62 + 1563.94i 0.350276 + 0.472814i
\(223\) 5810.88 1.74496 0.872479 0.488652i \(-0.162511\pi\)
0.872479 + 0.488652i \(0.162511\pi\)
\(224\) 334.936 281.045i 0.0999057 0.0838308i
\(225\) 42.4465 + 35.6168i 0.0125767 + 0.0105531i
\(226\) 565.487 3207.04i 0.166441 0.943933i
\(227\) −1976.51 + 719.391i −0.577910 + 0.210342i −0.614404 0.788992i \(-0.710603\pi\)
0.0364938 + 0.999334i \(0.488381\pi\)
\(228\) 447.374 0.129948
\(229\) −4769.68 + 1736.02i −1.37637 + 0.500959i −0.921077 0.389381i \(-0.872689\pi\)
−0.455296 + 0.890340i \(0.650467\pi\)
\(230\) 465.270 + 805.872i 0.133387 + 0.231033i
\(231\) 339.393 + 1924.79i 0.0966683 + 0.548233i
\(232\) 702.315 1216.45i 0.198747 0.344240i
\(233\) −323.580 560.457i −0.0909803 0.157583i 0.816944 0.576718i \(-0.195667\pi\)
−0.907924 + 0.419135i \(0.862333\pi\)
\(234\) −338.372 + 283.928i −0.0945302 + 0.0793202i
\(235\) 632.633 3587.84i 0.175610 0.995936i
\(236\) 512.201 887.158i 0.141277 0.244700i
\(237\) 88.6705 + 32.2734i 0.0243028 + 0.00884551i
\(238\) −1187.51 432.218i −0.323424 0.117717i
\(239\) 105.598 + 598.875i 0.0285797 + 0.162084i 0.995757 0.0920174i \(-0.0293315\pi\)
−0.967178 + 0.254101i \(0.918220\pi\)
\(240\) −576.506 483.746i −0.155055 0.130107i
\(241\) 513.907 + 431.220i 0.137360 + 0.115258i 0.708879 0.705330i \(-0.249201\pi\)
−0.571519 + 0.820589i \(0.693646\pi\)
\(242\) 82.1769 + 466.048i 0.0218286 + 0.123796i
\(243\) −2101.85 765.010i −0.554871 0.201957i
\(244\) 2317.94 + 843.660i 0.608158 + 0.221352i
\(245\) −850.164 + 1472.53i −0.221694 + 0.383985i
\(246\) −15.9735 + 90.5904i −0.00413998 + 0.0234790i
\(247\) −527.068 + 442.262i −0.135775 + 0.113929i
\(248\) −764.372 1323.93i −0.195716 0.338991i
\(249\) 1879.66 3255.67i 0.478389 0.828594i
\(250\) −497.439 2821.12i −0.125843 0.713693i
\(251\) 2381.35 + 4124.63i 0.598843 + 1.03723i 0.992992 + 0.118181i \(0.0377062\pi\)
−0.394149 + 0.919047i \(0.628960\pi\)
\(252\) −426.406 + 155.199i −0.106592 + 0.0387961i
\(253\) 1414.98 0.351616
\(254\) −4514.77 + 1643.24i −1.11528 + 0.405930i
\(255\) −377.714 + 2142.12i −0.0927583 + 0.526059i
\(256\) 196.107 + 164.554i 0.0478778 + 0.0401742i
\(257\) −2404.51 + 2017.63i −0.583616 + 0.489712i −0.886132 0.463432i \(-0.846618\pi\)
0.302516 + 0.953144i \(0.402173\pi\)
\(258\) 368.952 0.0890308
\(259\) −2565.25 1695.82i −0.615431 0.406847i
\(260\) 1157.42 0.276078
\(261\) −1116.72 + 937.042i −0.264841 + 0.222228i
\(262\) −1788.93 1501.09i −0.421834 0.353961i
\(263\) −489.896 + 2778.34i −0.114860 + 0.651406i 0.871959 + 0.489579i \(0.162850\pi\)
−0.986819 + 0.161826i \(0.948262\pi\)
\(264\) −1075.35 + 391.395i −0.250694 + 0.0912451i
\(265\) 4064.96 0.942295
\(266\) −664.195 + 241.747i −0.153099 + 0.0557236i
\(267\) 1379.02 + 2388.53i 0.316085 + 0.547475i
\(268\) 185.965 + 1054.66i 0.0423866 + 0.240386i
\(269\) 928.227 1607.74i 0.210390 0.364407i −0.741446 0.671012i \(-0.765860\pi\)
0.951837 + 0.306605i \(0.0991932\pi\)
\(270\) 1660.50 + 2876.06i 0.374276 + 0.648266i
\(271\) 6406.30 5375.53i 1.43600 1.20494i 0.493938 0.869497i \(-0.335557\pi\)
0.942059 0.335447i \(-0.108887\pi\)
\(272\) 128.485 728.676i 0.0286418 0.162436i
\(273\) −785.794 + 1361.03i −0.174207 + 0.301735i
\(274\) 176.104 + 64.0967i 0.0388279 + 0.0141322i
\(275\) −207.462 75.5100i −0.0454925 0.0165579i
\(276\) −128.465 728.561i −0.0280170 0.158892i
\(277\) 6162.41 + 5170.88i 1.33669 + 1.12162i 0.982463 + 0.186459i \(0.0597011\pi\)
0.354229 + 0.935159i \(0.384743\pi\)
\(278\) 588.457 + 493.774i 0.126954 + 0.106527i
\(279\) 275.508 + 1562.48i 0.0591191 + 0.335281i
\(280\) 1117.31 + 406.669i 0.238472 + 0.0867968i
\(281\) 6483.67 + 2359.86i 1.37645 + 0.500988i 0.921101 0.389324i \(-0.127291\pi\)
0.455351 + 0.890312i \(0.349514\pi\)
\(282\) −1448.21 + 2508.37i −0.305814 + 0.529685i
\(283\) −280.708 + 1591.97i −0.0589624 + 0.334392i −0.999992 0.00393118i \(-0.998749\pi\)
0.941030 + 0.338323i \(0.109860\pi\)
\(284\) −3015.19 + 2530.04i −0.629994 + 0.528628i
\(285\) 608.305 + 1053.62i 0.126431 + 0.218985i
\(286\) 879.985 1524.18i 0.181939 0.315128i
\(287\) −25.2371 143.127i −0.00519059 0.0294373i
\(288\) −132.843 230.091i −0.0271801 0.0470773i
\(289\) 2607.10 948.907i 0.530653 0.193142i
\(290\) 3819.82 0.773474
\(291\) −5378.43 + 1957.59i −1.08347 + 0.394350i
\(292\) −788.801 + 4473.51i −0.158086 + 0.896549i
\(293\) −2996.35 2514.23i −0.597435 0.501307i 0.293185 0.956056i \(-0.405285\pi\)
−0.890620 + 0.454748i \(0.849729\pi\)
\(294\) 1035.54 868.918i 0.205421 0.172369i
\(295\) 2785.81 0.549817
\(296\) 717.017 1651.57i 0.140796 0.324309i
\(297\) 5049.89 0.986613
\(298\) −4467.06 + 3748.31i −0.868355 + 0.728636i
\(299\) 871.585 + 731.347i 0.168579 + 0.141454i
\(300\) −20.0442 + 113.676i −0.00385750 + 0.0218770i
\(301\) −547.765 + 199.370i −0.104893 + 0.0381778i
\(302\) −4509.40 −0.859227
\(303\) −2584.19 + 940.567i −0.489959 + 0.178331i
\(304\) −206.924 358.403i −0.0390392 0.0676179i
\(305\) 1164.84 + 6606.14i 0.218684 + 1.24022i
\(306\) −383.957 + 665.033i −0.0717299 + 0.124240i
\(307\) 110.542 + 191.465i 0.0205505 + 0.0355944i 0.876118 0.482097i \(-0.160125\pi\)
−0.855567 + 0.517692i \(0.826791\pi\)
\(308\) 1385.02 1162.17i 0.256230 0.215003i
\(309\) 877.119 4974.39i 0.161481 0.915803i
\(310\) 2078.67 3600.36i 0.380840 0.659634i
\(311\) 8877.38 + 3231.10i 1.61862 + 0.589129i 0.983118 0.182972i \(-0.0585719\pi\)
0.635500 + 0.772101i \(0.280794\pi\)
\(312\) −864.681 314.718i −0.156900 0.0571071i
\(313\) −1135.34 6438.84i −0.205027 1.16276i −0.897398 0.441222i \(-0.854545\pi\)
0.692372 0.721541i \(-0.256566\pi\)
\(314\) 1267.74 + 1063.76i 0.227844 + 0.191183i
\(315\) −945.306 793.206i −0.169086 0.141880i
\(316\) −15.1577 85.9638i −0.00269838 0.0153033i
\(317\) −4968.25 1808.30i −0.880268 0.320391i −0.137950 0.990439i \(-0.544051\pi\)
−0.742318 + 0.670048i \(0.766274\pi\)
\(318\) −3036.83 1105.32i −0.535525 0.194915i
\(319\) 2904.20 5030.22i 0.509730 0.882879i
\(320\) −120.890 + 685.602i −0.0211186 + 0.119770i
\(321\) 4565.15 3830.62i 0.793775 0.666056i
\(322\) 584.417 + 1012.24i 0.101144 + 0.175186i
\(323\) −598.073 + 1035.89i −0.103027 + 0.178448i
\(324\) −302.768 1717.08i −0.0519149 0.294424i
\(325\) −88.7624 153.741i −0.0151497 0.0262401i
\(326\) 3443.75 1253.42i 0.585067 0.212947i
\(327\) 1391.37 0.235299
\(328\) 79.9626 29.1040i 0.0134610 0.00489939i
\(329\) 794.638 4506.62i 0.133161 0.755191i
\(330\) −2383.96 2000.38i −0.397674 0.333688i
\(331\) −4936.91 + 4142.56i −0.819811 + 0.687903i −0.952928 0.303197i \(-0.901946\pi\)
0.133117 + 0.991100i \(0.457501\pi\)
\(332\) −3477.61 −0.574875
\(333\) −1285.51 + 1356.18i −0.211549 + 0.223177i
\(334\) −7252.43 −1.18813
\(335\) −2230.98 + 1872.01i −0.363855 + 0.305310i
\(336\) −724.139 607.624i −0.117574 0.0986566i
\(337\) 1637.76 9288.21i 0.264732 1.50137i −0.505066 0.863081i \(-0.668532\pi\)
0.769798 0.638288i \(-0.220357\pi\)
\(338\) −2799.18 + 1018.82i −0.450459 + 0.163954i
\(339\) −7040.64 −1.12801
\(340\) 1890.82 688.201i 0.301600 0.109773i
\(341\) −3160.81 5474.69i −0.501958 0.869417i
\(342\) 74.5832 + 422.982i 0.0117924 + 0.0668780i
\(343\) −3411.15 + 5908.28i −0.536981 + 0.930079i
\(344\) −170.652 295.577i −0.0267468 0.0463269i
\(345\) 1541.16 1293.19i 0.240503 0.201806i
\(346\) 655.112 3715.33i 0.101789 0.577275i
\(347\) 4504.21 7801.52i 0.696826 1.20694i −0.272735 0.962089i \(-0.587928\pi\)
0.969561 0.244849i \(-0.0787385\pi\)
\(348\) −2853.69 1038.66i −0.439581 0.159994i
\(349\) 1459.83 + 531.335i 0.223906 + 0.0814949i 0.451537 0.892252i \(-0.350876\pi\)
−0.227631 + 0.973747i \(0.573098\pi\)
\(350\) −31.6685 179.601i −0.00483643 0.0274287i
\(351\) 3110.59 + 2610.09i 0.473022 + 0.396913i
\(352\) 810.939 + 680.459i 0.122793 + 0.103036i
\(353\) 1430.18 + 8110.95i 0.215640 + 1.22295i 0.879793 + 0.475357i \(0.157681\pi\)
−0.664154 + 0.747596i \(0.731208\pi\)
\(354\) −2081.21 757.498i −0.312472 0.113730i
\(355\) −10058.3 3660.94i −1.50378 0.547331i
\(356\) 1275.68 2209.54i 0.189918 0.328948i
\(357\) −474.440 + 2690.68i −0.0703362 + 0.398896i
\(358\) −3052.82 + 2561.62i −0.450689 + 0.378173i
\(359\) 5577.66 + 9660.80i 0.819994 + 1.42027i 0.905686 + 0.423949i \(0.139357\pi\)
−0.0856919 + 0.996322i \(0.527310\pi\)
\(360\) 361.260 625.721i 0.0528891 0.0916066i
\(361\) −1074.88 6095.93i −0.156711 0.888750i
\(362\) 1599.06 + 2769.65i 0.232167 + 0.402125i
\(363\) 961.445 349.937i 0.139016 0.0505977i
\(364\) 1453.82 0.209342
\(365\) −11608.2 + 4225.02i −1.66465 + 0.605885i
\(366\) 926.073 5252.02i 0.132258 0.750075i
\(367\) −6148.85 5159.50i −0.874571 0.733852i 0.0904849 0.995898i \(-0.471158\pi\)
−0.965055 + 0.262046i \(0.915603\pi\)
\(368\) −524.250 + 439.898i −0.0742621 + 0.0623133i
\(369\) −88.3142 −0.0124592
\(370\) 4864.57 557.023i 0.683505 0.0782655i
\(371\) 5105.91 0.714517
\(372\) −2531.91 + 2124.52i −0.352885 + 0.296106i
\(373\) −6431.11 5396.35i −0.892736 0.749094i 0.0760211 0.997106i \(-0.475778\pi\)
−0.968757 + 0.248012i \(0.920223\pi\)
\(374\) 531.309 3013.21i 0.0734582 0.416602i
\(375\) −5819.89 + 2118.27i −0.801435 + 0.291698i
\(376\) 2679.36 0.367493
\(377\) 4388.83 1597.40i 0.599566 0.218224i
\(378\) 2085.72 + 3612.57i 0.283804 + 0.491562i
\(379\) 1411.23 + 8003.49i 0.191267 + 1.08473i 0.917636 + 0.397422i \(0.130095\pi\)
−0.726369 + 0.687305i \(0.758794\pi\)
\(380\) 562.720 974.659i 0.0759655 0.131576i
\(381\) 5193.73 + 8995.81i 0.698380 + 1.20963i
\(382\) 328.012 275.235i 0.0439334 0.0368645i
\(383\) 855.899 4854.05i 0.114189 0.647598i −0.872959 0.487793i \(-0.837802\pi\)
0.987149 0.159806i \(-0.0510867\pi\)
\(384\) 276.738 479.325i 0.0367767 0.0636991i
\(385\) 4620.29 + 1681.65i 0.611615 + 0.222610i
\(386\) 5692.50 + 2071.90i 0.750624 + 0.273205i
\(387\) 61.5092 + 348.836i 0.00807930 + 0.0458200i
\(388\) 4055.97 + 3403.36i 0.530697 + 0.445308i
\(389\) −3304.07 2772.44i −0.430650 0.361359i 0.401547 0.915839i \(-0.368473\pi\)
−0.832197 + 0.554480i \(0.812917\pi\)
\(390\) −434.531 2464.35i −0.0564188 0.319967i
\(391\) 1858.72 + 676.518i 0.240408 + 0.0875013i
\(392\) −1175.08 427.695i −0.151405 0.0551067i
\(393\) −2524.46 + 4372.50i −0.324026 + 0.561230i
\(394\) −1165.24 + 6608.39i −0.148994 + 0.844990i
\(395\) 181.844 152.585i 0.0231634 0.0194364i
\(396\) −549.330 951.468i −0.0697093 0.120740i
\(397\) 716.659 1241.29i 0.0905997 0.156923i −0.817164 0.576405i \(-0.804455\pi\)
0.907764 + 0.419482i \(0.137788\pi\)
\(398\) −717.439 4068.80i −0.0903567 0.512438i
\(399\) 764.081 + 1323.43i 0.0958694 + 0.166051i
\(400\) 100.340 36.5208i 0.0125425 0.00456510i
\(401\) −14979.2 −1.86540 −0.932700 0.360653i \(-0.882554\pi\)
−0.932700 + 0.360653i \(0.882554\pi\)
\(402\) 2175.74 791.903i 0.269940 0.0982501i
\(403\) 882.685 5005.95i 0.109106 0.618770i
\(404\) 1948.78 + 1635.22i 0.239988 + 0.201374i
\(405\) 3632.23 3047.81i 0.445647 0.373942i
\(406\) 4798.00 0.586504
\(407\) 2964.99 6829.53i 0.361104 0.831762i
\(408\) −1599.71 −0.194112
\(409\) −1629.81 + 1367.57i −0.197039 + 0.165335i −0.735969 0.677015i \(-0.763273\pi\)
0.538930 + 0.842350i \(0.318829\pi\)
\(410\) 177.270 + 148.747i 0.0213531 + 0.0179173i
\(411\) 70.3580 399.020i 0.00844405 0.0478886i
\(412\) −4390.81 + 1598.12i −0.525048 + 0.191102i
\(413\) 3499.20 0.416911
\(414\) 667.421 242.921i 0.0792318 0.0288380i
\(415\) −4728.59 8190.15i −0.559319 0.968768i
\(416\) 147.812 + 838.286i 0.0174209 + 0.0987989i
\(417\) 830.406 1438.31i 0.0975183 0.168907i
\(418\) −855.669 1482.06i −0.100125 0.173421i
\(419\) 4470.26 3750.99i 0.521209 0.437346i −0.343844 0.939027i \(-0.611729\pi\)
0.865053 + 0.501681i \(0.167285\pi\)
\(420\) 446.394 2531.63i 0.0518614 0.294121i
\(421\) −514.309 + 890.809i −0.0595389 + 0.103124i −0.894259 0.447551i \(-0.852296\pi\)
0.834720 + 0.550675i \(0.185630\pi\)
\(422\) 4119.50 + 1499.37i 0.475199 + 0.172958i
\(423\) −2613.04 951.069i −0.300356 0.109320i
\(424\) 519.129 + 2944.13i 0.0594602 + 0.337216i
\(425\) −236.421 198.380i −0.0269837 0.0226420i
\(426\) 6518.89 + 5470.00i 0.741411 + 0.622118i
\(427\) 1463.13 + 8297.84i 0.165822 + 0.940424i
\(428\) −5180.33 1885.49i −0.585048 0.212940i
\(429\) −3575.61 1301.42i −0.402406 0.146464i
\(430\) 464.078 803.807i 0.0520461 0.0901465i
\(431\) −629.680 + 3571.09i −0.0703726 + 0.399103i 0.929192 + 0.369597i \(0.120504\pi\)
−0.999565 + 0.0295056i \(0.990607\pi\)
\(432\) −1870.99 + 1569.95i −0.208375 + 0.174847i
\(433\) 7827.96 + 13558.4i 0.868793 + 1.50479i 0.863231 + 0.504810i \(0.168437\pi\)
0.00556277 + 0.999985i \(0.498229\pi\)
\(434\) 2610.98 4522.34i 0.288781 0.500183i
\(435\) −1434.08 8133.05i −0.158066 0.896437i
\(436\) −643.551 1114.66i −0.0706893 0.122437i
\(437\) 1039.61 378.389i 0.113802 0.0414206i
\(438\) 9821.02 1.07138
\(439\) 5701.85 2075.30i 0.619897 0.225624i −0.0129313 0.999916i \(-0.504116\pi\)
0.632828 + 0.774292i \(0.281894\pi\)
\(440\) −499.902 + 2835.09i −0.0541634 + 0.307176i
\(441\) 994.181 + 834.217i 0.107351 + 0.0900785i
\(442\) 1884.68 1581.43i 0.202817 0.170184i
\(443\) −15100.3 −1.61950 −0.809750 0.586775i \(-0.800397\pi\)
−0.809750 + 0.586775i \(0.800397\pi\)
\(444\) −3785.66 906.603i −0.404639 0.0969043i
\(445\) 6938.28 0.739114
\(446\) −8902.79 + 7470.33i −0.945200 + 0.793117i
\(447\) 9657.86 + 8103.91i 1.02193 + 0.857498i
\(448\) −151.848 + 861.172i −0.0160137 + 0.0908182i
\(449\) −15927.6 + 5797.18i −1.67410 + 0.609322i −0.992482 0.122387i \(-0.960945\pi\)
−0.681617 + 0.731709i \(0.738723\pi\)
\(450\) −110.820 −0.0116091
\(451\) 330.660 120.350i 0.0345236 0.0125656i
\(452\) 3256.51 + 5640.44i 0.338879 + 0.586956i
\(453\) 1692.97 + 9601.28i 0.175590 + 0.995822i
\(454\) 2103.36 3643.12i 0.217435 0.376608i
\(455\) 1976.79 + 3423.89i 0.203677 + 0.352779i
\(456\) −685.417 + 575.133i −0.0703895 + 0.0590638i
\(457\) −300.710 + 1705.41i −0.0307804 + 0.174564i −0.996322 0.0856828i \(-0.972693\pi\)
0.965542 + 0.260247i \(0.0838040\pi\)
\(458\) 5075.79 8791.52i 0.517852 0.896945i
\(459\) 6633.55 + 2414.42i 0.674570 + 0.245523i
\(460\) −1748.84 636.527i −0.177262 0.0645179i
\(461\) −254.462 1443.13i −0.0257082 0.145798i 0.969252 0.246071i \(-0.0791396\pi\)
−0.994960 + 0.100273i \(0.968029\pi\)
\(462\) −2994.44 2512.64i −0.301546 0.253027i
\(463\) −2363.66 1983.35i −0.237254 0.199080i 0.516407 0.856343i \(-0.327269\pi\)
−0.753661 + 0.657264i \(0.771714\pi\)
\(464\) 487.823 + 2766.58i 0.0488074 + 0.276800i
\(465\) −8446.18 3074.16i −0.842328 0.306582i
\(466\) 1216.26 + 442.683i 0.120906 + 0.0440062i
\(467\) 8694.39 15059.1i 0.861517 1.49219i −0.00894710 0.999960i \(-0.502848\pi\)
0.870464 0.492232i \(-0.163819\pi\)
\(468\) 153.405 870.005i 0.0151521 0.0859316i
\(469\) −2802.29 + 2351.40i −0.275901 + 0.231509i
\(470\) 3643.19 + 6310.19i 0.357548 + 0.619292i
\(471\) 1788.99 3098.61i 0.175015 0.303135i
\(472\) 355.771 + 2017.68i 0.0346943 + 0.196761i
\(473\) −705.675 1222.26i −0.0685982 0.118816i
\(474\) −177.341 + 64.5469i −0.0171847 + 0.00625472i
\(475\) −172.619 −0.0166744
\(476\) 2375.02 864.436i 0.228695 0.0832382i
\(477\) 538.772 3055.53i 0.0517163 0.293298i
\(478\) −931.684 781.776i −0.0891511 0.0748067i
\(479\) 7197.24 6039.20i 0.686535 0.576071i −0.231373 0.972865i \(-0.574322\pi\)
0.917908 + 0.396794i \(0.129877\pi\)
\(480\) 1505.15 0.143126
\(481\) 5356.27 2674.31i 0.507744 0.253509i
\(482\) −1341.72 −0.126792
\(483\) 1935.83 1624.35i 0.182367 0.153024i
\(484\) −725.042 608.383i −0.0680919 0.0571359i
\(485\) −2500.30 + 14179.9i −0.234088 + 1.32758i
\(486\) 4203.70 1530.02i 0.392353 0.142805i
\(487\) 6325.33 0.588559 0.294279 0.955719i \(-0.404920\pi\)
0.294279 + 0.955719i \(0.404920\pi\)
\(488\) −4635.87 + 1687.32i −0.430033 + 0.156519i
\(489\) −3961.65 6861.77i −0.366364 0.634561i
\(490\) −590.518 3348.99i −0.0544426 0.308759i
\(491\) −5223.00 + 9046.50i −0.480062 + 0.831492i −0.999738 0.0228710i \(-0.992719\pi\)
0.519676 + 0.854363i \(0.326053\pi\)
\(492\) −91.9879 159.328i −0.00842913 0.0145997i
\(493\) 6219.98 5219.18i 0.568223 0.476796i
\(494\) 238.953 1355.17i 0.0217632 0.123425i
\(495\) 1493.88 2587.47i 0.135646 0.234945i
\(496\) 2873.10 + 1045.72i 0.260093 + 0.0946659i
\(497\) −12634.1 4598.44i −1.14028 0.415026i
\(498\) 1305.60 + 7404.43i 0.117481 + 0.666266i
\(499\) 6896.15 + 5786.55i 0.618665 + 0.519122i 0.897384 0.441251i \(-0.145465\pi\)
−0.278719 + 0.960373i \(0.589910\pi\)
\(500\) 4388.88 + 3682.71i 0.392553 + 0.329391i
\(501\) 2722.78 + 15441.7i 0.242804 + 1.37701i
\(502\) −8950.96 3257.88i −0.795819 0.289654i
\(503\) 9657.20 + 3514.93i 0.856051 + 0.311577i 0.732505 0.680762i \(-0.238351\pi\)
0.123546 + 0.992339i \(0.460573\pi\)
\(504\) 453.772 785.956i 0.0401044 0.0694628i
\(505\) −1201.32 + 6813.03i −0.105858 + 0.600349i
\(506\) −2167.87 + 1819.06i −0.190462 + 0.159816i
\(507\) 3220.13 + 5577.43i 0.282073 + 0.488565i
\(508\) 4804.52 8321.67i 0.419618 0.726800i
\(509\) −1902.28 10788.4i −0.165652 0.939461i −0.948389 0.317108i \(-0.897288\pi\)
0.782737 0.622353i \(-0.213823\pi\)
\(510\) −2175.17 3767.50i −0.188859 0.327113i
\(511\) −14580.8 + 5306.97i −1.26226 + 0.459426i
\(512\) −512.000 −0.0441942
\(513\) 3710.26 1350.43i 0.319322 0.116224i
\(514\) 1090.12 6182.36i 0.0935467 0.530530i
\(515\) −9734.05 8167.84i −0.832880 0.698870i
\(516\) −565.267 + 474.315i −0.0482258 + 0.0404662i
\(517\) 11079.6 0.942518
\(518\) 6110.30 699.666i 0.518284 0.0593466i
\(519\) −8156.52 −0.689849
\(520\) −1773.27 + 1487.95i −0.149544 + 0.125483i
\(521\) 645.820 + 541.907i 0.0543069 + 0.0455689i 0.669537 0.742779i \(-0.266493\pi\)
−0.615230 + 0.788347i \(0.710937\pi\)
\(522\) 506.281 2871.26i 0.0424508 0.240750i
\(523\) −17358.5 + 6317.96i −1.45131 + 0.528232i −0.942955 0.332919i \(-0.891966\pi\)
−0.508350 + 0.861151i \(0.669744\pi\)
\(524\) 4670.57 0.389379
\(525\) −370.512 + 134.855i −0.0308009 + 0.0112106i
\(526\) −2821.20 4886.46i −0.233860 0.405057i
\(527\) −1534.54 8702.80i −0.126842 0.719355i
\(528\) 1144.36 1982.09i 0.0943220 0.163370i
\(529\) 5168.76 + 8952.55i 0.424818 + 0.735806i
\(530\) −6227.87 + 5225.81i −0.510418 + 0.428291i
\(531\) 369.233 2094.02i 0.0301758 0.171135i
\(532\) 706.822 1224.25i 0.0576026 0.0997707i
\(533\) 265.881 + 96.7729i 0.0216071 + 0.00786435i
\(534\) −5183.42 1886.61i −0.420053 0.152887i
\(535\) −2603.29 14764.0i −0.210374 1.19309i
\(536\) −1640.76 1376.76i −0.132220 0.110946i
\(537\) 6600.25 + 5538.27i 0.530395 + 0.445054i
\(538\) 644.739 + 3656.50i 0.0516667 + 0.293016i
\(539\) −4859.17 1768.59i −0.388310 0.141333i
\(540\) −6241.43 2271.69i −0.497386 0.181034i
\(541\) −9670.60 + 16750.0i −0.768524 + 1.33112i 0.169839 + 0.985472i \(0.445675\pi\)
−0.938363 + 0.345651i \(0.887658\pi\)
\(542\) −2904.38 + 16471.6i −0.230173 + 1.30538i
\(543\) 5296.72 4444.48i 0.418608 0.351254i
\(544\) 739.917 + 1281.57i 0.0583156 + 0.101006i
\(545\) 1750.10 3031.27i 0.137553 0.238248i
\(546\) −545.807 3095.42i −0.0427809 0.242623i
\(547\) −5940.98 10290.1i −0.464384 0.804336i 0.534790 0.844985i \(-0.320391\pi\)
−0.999173 + 0.0406491i \(0.987057\pi\)
\(548\) −352.208 + 128.193i −0.0274555 + 0.00999297i
\(549\) 5120.06 0.398031
\(550\) 414.924 151.020i 0.0321680 0.0117082i
\(551\) 788.613 4472.44i 0.0609728 0.345794i
\(552\) 1133.44 + 951.069i 0.0873956 + 0.0733336i
\(553\) 228.411 191.659i 0.0175642 0.0147381i
\(554\) −16088.9 −1.23385
\(555\) −3012.31 10148.4i −0.230388 0.776171i
\(556\) −1536.35 −0.117187
\(557\) 11036.5 9260.71i 0.839553 0.704468i −0.117910 0.993024i \(-0.537620\pi\)
0.957463 + 0.288556i \(0.0931751\pi\)
\(558\) −2430.79 2039.68i −0.184415 0.154743i
\(559\) 197.066 1117.62i 0.0149106 0.0845619i
\(560\) −2234.63 + 813.337i −0.168625 + 0.0613746i
\(561\) −6615.10 −0.497843
\(562\) −12967.3 + 4719.72i −0.973299 + 0.354252i
\(563\) −4656.17 8064.72i −0.348551 0.603707i 0.637442 0.770499i \(-0.279993\pi\)
−0.985992 + 0.166791i \(0.946659\pi\)
\(564\) −1005.91 5704.82i −0.0751004 0.425915i
\(565\) −8855.91 + 15338.9i −0.659417 + 1.14214i
\(566\) −1616.53 2799.92i −0.120049 0.207932i
\(567\) 4562.38 3828.29i 0.337922 0.283550i
\(568\) 1366.97 7752.50i 0.100981 0.572689i
\(569\) 4071.64 7052.30i 0.299986 0.519592i −0.676146 0.736768i \(-0.736351\pi\)
0.976132 + 0.217176i \(0.0696845\pi\)
\(570\) −2286.48 832.210i −0.168018 0.0611534i
\(571\) −12347.8 4494.22i −0.904971 0.329382i −0.152728 0.988268i \(-0.548806\pi\)
−0.752243 + 0.658886i \(0.771028\pi\)
\(572\) 611.231 + 3466.46i 0.0446798 + 0.253392i
\(573\) −709.168 595.063i −0.0517032 0.0433841i
\(574\) 222.666 + 186.839i 0.0161914 + 0.0135862i
\(575\) 49.5682 + 281.115i 0.00359502 + 0.0203884i
\(576\) 499.327 + 181.740i 0.0361203 + 0.0131467i
\(577\) −1006.04 366.170i −0.0725861 0.0264192i 0.305472 0.952201i \(-0.401186\pi\)
−0.378058 + 0.925782i \(0.623408\pi\)
\(578\) −2774.42 + 4805.43i −0.199655 + 0.345813i
\(579\) 2274.30 12898.2i 0.163241 0.925786i
\(580\) −5852.30 + 4910.66i −0.418972 + 0.351559i
\(581\) −5939.49 10287.5i −0.424116 0.734591i
\(582\) 5723.61 9913.58i 0.407648 0.706067i
\(583\) 2146.69 + 12174.5i 0.152499 + 0.864865i
\(584\) −4542.52 7867.88i −0.321868 0.557492i
\(585\) 2257.55 821.680i 0.159552 0.0580723i
\(586\) 7822.90 0.551470
\(587\) 18441.2 6712.06i 1.29668 0.471953i 0.400766 0.916180i \(-0.368744\pi\)
0.895914 + 0.444227i \(0.146522\pi\)
\(588\) −469.474 + 2662.52i −0.0329265 + 0.186736i
\(589\) −3786.34 3177.12i −0.264879 0.222260i
\(590\) −4268.10 + 3581.37i −0.297822 + 0.249902i
\(591\) 14507.9 1.00977
\(592\) 1024.68 + 3452.13i 0.0711388 + 0.239665i
\(593\) 25356.7 1.75594 0.877970 0.478715i \(-0.158897\pi\)
0.877970 + 0.478715i \(0.158897\pi\)
\(594\) −7736.88 + 6492.01i −0.534424 + 0.448435i
\(595\) 5265.21 + 4418.04i 0.362778 + 0.304406i
\(596\) 2025.20 11485.5i 0.139187 0.789368i
\(597\) −8393.82 + 3055.10i −0.575438 + 0.209442i
\(598\) −2275.55 −0.155609
\(599\) −524.119 + 190.764i −0.0357511 + 0.0130123i −0.359834 0.933016i \(-0.617167\pi\)
0.324083 + 0.946029i \(0.394944\pi\)
\(600\) −115.430 199.930i −0.00785400 0.0136035i
\(601\) 2401.17 + 13617.7i 0.162972 + 0.924257i 0.951131 + 0.308787i \(0.0999229\pi\)
−0.788160 + 0.615471i \(0.788966\pi\)
\(602\) 582.920 1009.65i 0.0394652 0.0683557i
\(603\) 1111.45 + 1925.09i 0.0750610 + 0.130009i
\(604\) 6908.79 5797.17i 0.465422 0.390535i
\(605\) 446.951 2534.79i 0.0300350 0.170337i
\(606\) 2750.03 4763.20i 0.184344 0.319293i
\(607\) 3503.95 + 1275.33i 0.234301 + 0.0852787i 0.456503 0.889722i \(-0.349102\pi\)
−0.222201 + 0.975001i \(0.571324\pi\)
\(608\) 777.781 + 283.089i 0.0518802 + 0.0188829i
\(609\) −1801.32 10215.8i −0.119857 0.679744i
\(610\) −10277.3 8623.70i −0.682159 0.572399i
\(611\) 6824.74 + 5726.63i 0.451881 + 0.379173i
\(612\) −266.694 1512.49i −0.0176151 0.0999003i
\(613\) 25914.9 + 9432.26i 1.70749 + 0.621477i 0.996643 0.0818656i \(-0.0260878\pi\)
0.710851 + 0.703343i \(0.248310\pi\)
\(614\) −415.504 151.231i −0.0273100 0.00994004i
\(615\) 250.156 433.283i 0.0164021 0.0284092i
\(616\) −627.918 + 3561.10i −0.0410707 + 0.232923i
\(617\) −4320.80 + 3625.58i −0.281927 + 0.236565i −0.772774 0.634681i \(-0.781132\pi\)
0.490848 + 0.871245i \(0.336687\pi\)
\(618\) 5051.13 + 8748.81i 0.328780 + 0.569464i
\(619\) −5176.52 + 8965.99i −0.336126 + 0.582187i −0.983700 0.179815i \(-0.942450\pi\)
0.647575 + 0.762002i \(0.275783\pi\)
\(620\) 1443.83 + 8188.35i 0.0935250 + 0.530407i
\(621\) −3264.62 5654.48i −0.210957 0.365389i
\(622\) −17754.8 + 6462.21i −1.14454 + 0.416577i
\(623\) 8715.04 0.560451
\(624\) 1729.36 629.437i 0.110945 0.0403808i
\(625\) −2560.66 + 14522.2i −0.163882 + 0.929422i
\(626\) 10017.1 + 8405.31i 0.639556 + 0.536651i
\(627\) −2834.32 + 2378.28i −0.180529 + 0.151482i
\(628\) −3309.84 −0.210314
\(629\) 7160.11 7553.70i 0.453883 0.478833i
\(630\) 2468.02 0.156076
\(631\) −1437.46 + 1206.17i −0.0906883 + 0.0760965i −0.687005 0.726653i \(-0.741075\pi\)
0.596316 + 0.802750i \(0.296630\pi\)
\(632\) 133.736 + 112.218i 0.00841729 + 0.00706295i
\(633\) 1645.84 9334.03i 0.103343 0.586089i
\(634\) 9936.51 3616.59i 0.622443 0.226551i
\(635\) 26131.3 1.63305
\(636\) 6073.66 2210.63i 0.378673 0.137826i
\(637\) −2078.99 3600.92i −0.129313 0.223978i
\(638\) 2017.24 + 11440.3i 0.125177 + 0.709916i
\(639\) −4084.98 + 7075.39i −0.252894 + 0.438025i
\(640\) −696.178 1205.82i −0.0429982 0.0744751i
\(641\) −11805.6 + 9906.07i −0.727446 + 0.610400i −0.929434 0.368988i \(-0.879704\pi\)
0.201988 + 0.979388i \(0.435260\pi\)
\(642\) −2069.67 + 11737.7i −0.127233 + 0.721573i
\(643\) −1411.00 + 2443.93i −0.0865389 + 0.149890i −0.906046 0.423179i \(-0.860914\pi\)
0.819507 + 0.573069i \(0.194247\pi\)
\(644\) −2196.69 799.530i −0.134413 0.0489222i
\(645\) −1885.67 686.328i −0.115114 0.0418979i
\(646\) −415.417 2355.95i −0.0253009 0.143489i
\(647\) 9721.71 + 8157.48i 0.590726 + 0.495678i 0.888450 0.458974i \(-0.151783\pi\)
−0.297724 + 0.954652i \(0.596227\pi\)
\(648\) 2671.30 + 2241.49i 0.161942 + 0.135886i
\(649\) 1471.18 + 8343.46i 0.0889811 + 0.504637i
\(650\) 333.638 + 121.434i 0.0201328 + 0.00732775i
\(651\) −10609.1 3861.39i −0.638714 0.232473i
\(652\) −3664.77 + 6347.56i −0.220128 + 0.381273i
\(653\) 1116.71 6333.20i 0.0669226 0.379537i −0.932890 0.360162i \(-0.882721\pi\)
0.999812 0.0193746i \(-0.00616750\pi\)
\(654\) −2131.70 + 1788.71i −0.127456 + 0.106948i
\(655\) 6350.68 + 10999.7i 0.378842 + 0.656174i
\(656\) −85.0944 + 147.388i −0.00506460 + 0.00877215i
\(657\) 1637.29 + 9285.55i 0.0972251 + 0.551391i
\(658\) 4576.14 + 7926.11i 0.271119 + 0.469592i
\(659\) −413.884 + 150.641i −0.0244653 + 0.00890464i −0.354224 0.935161i \(-0.615255\pi\)
0.329759 + 0.944065i \(0.393033\pi\)
\(660\) 6224.07 0.367078
\(661\) −29739.1 + 10824.1i −1.74995 + 0.636929i −0.999706 0.0242343i \(-0.992285\pi\)
−0.750242 + 0.661163i \(0.770063\pi\)
\(662\) 2238.22 12693.6i 0.131406 0.745240i
\(663\) −4074.72 3419.09i −0.238686 0.200281i
\(664\) 5328.01 4470.73i 0.311396 0.261292i
\(665\) 3844.33 0.224175
\(666\) 226.053 3730.41i 0.0131522 0.217042i
\(667\) −7509.95 −0.435962
\(668\) 11111.4 9323.54i 0.643580 0.540028i
\(669\) 19248.0 + 16151.0i 1.11236 + 0.933383i
\(670\) 1011.44 5736.18i 0.0583216 0.330758i
\(671\) −19170.2 + 6977.37i −1.10291 + 0.401428i
\(672\) 1890.59 0.108529
\(673\) −9016.50 + 3281.74i −0.516435 + 0.187967i −0.587071 0.809535i \(-0.699719\pi\)
0.0706365 + 0.997502i \(0.477497\pi\)
\(674\) 9431.50 + 16335.8i 0.539003 + 0.933580i
\(675\) 176.903 + 1003.27i 0.0100874 + 0.0572086i
\(676\) 2978.82 5159.47i 0.169482 0.293552i
\(677\) −3316.60 5744.51i −0.188282 0.326115i 0.756395 0.654115i \(-0.226959\pi\)
−0.944678 + 0.328000i \(0.893625\pi\)
\(678\) 10786.9 9051.27i 0.611014 0.512702i
\(679\) −3140.57 + 17811.1i −0.177502 + 1.00667i
\(680\) −2012.16 + 3485.17i −0.113475 + 0.196544i
\(681\) −8546.50 3110.67i −0.480914 0.175038i
\(682\) 11880.8 + 4324.25i 0.667065 + 0.242792i
\(683\) −4247.78 24090.4i −0.237975 1.34962i −0.836257 0.548337i \(-0.815261\pi\)
0.598282 0.801285i \(-0.295850\pi\)
\(684\) −658.044 552.164i −0.0367850 0.0308663i
\(685\) −780.816 655.182i −0.0435524 0.0365448i
\(686\) −2369.36 13437.3i −0.131869 0.747869i
\(687\) −20624.3 7506.62i −1.14536 0.416879i
\(688\) 641.440 + 233.465i 0.0355446 + 0.0129372i
\(689\) −4970.22 + 8608.68i −0.274819 + 0.476001i
\(690\) −698.707 + 3962.56i −0.0385497 + 0.218626i
\(691\) 4762.46 3996.18i 0.262189 0.220002i −0.502211 0.864745i \(-0.667480\pi\)
0.764400 + 0.644743i \(0.223035\pi\)
\(692\) 3772.64 + 6534.40i 0.207246 + 0.358961i
\(693\) 1876.43 3250.07i 0.102857 0.178153i
\(694\) 3128.59 + 17743.1i 0.171124 + 0.970490i
\(695\) −2089.01 3618.28i −0.114016 0.197481i
\(696\) 5707.39 2077.32i 0.310830 0.113133i
\(697\) 491.897 0.0267316
\(698\) −2919.66 + 1062.67i −0.158325 + 0.0576256i
\(699\) 485.927 2755.83i 0.0262939 0.149120i
\(700\) 279.409 + 234.452i 0.0150867 + 0.0126592i
\(701\) 105.795 88.7726i 0.00570018 0.00478302i −0.639933 0.768431i \(-0.721038\pi\)
0.645633 + 0.763648i \(0.276593\pi\)
\(702\) −8121.16 −0.436629
\(703\) 352.113 5810.70i 0.0188907 0.311742i
\(704\) −2117.21 −0.113346
\(705\) 12067.7 10126.0i 0.644676 0.540947i
\(706\) −12618.4 10588.1i −0.672662 0.564431i
\(707\) −1508.96 + 8557.72i −0.0802690 + 0.455228i
\(708\) 4162.42 1515.00i 0.220951 0.0804196i
\(709\) −8546.28 −0.452697 −0.226349 0.974046i \(-0.572679\pi\)
−0.226349 + 0.974046i \(0.572679\pi\)
\(710\) 20116.7 7321.88i 1.06333 0.387021i
\(711\) −90.5928 156.911i −0.00477847 0.00827656i
\(712\) 886.077 + 5025.19i 0.0466392 + 0.264504i
\(713\) −4086.76 + 7078.48i −0.214657 + 0.371797i
\(714\) −2732.19 4732.29i −0.143207 0.248041i
\(715\) −7332.80 + 6152.95i −0.383540 + 0.321828i
\(716\) 1384.04 7849.26i 0.0722400 0.409693i
\(717\) −1314.75 + 2277.22i −0.0684803 + 0.118611i
\(718\) −20965.2 7630.69i −1.08971 0.396622i
\(719\) 24273.6 + 8834.88i 1.25905 + 0.458255i 0.883448 0.468528i \(-0.155216\pi\)
0.375597 + 0.926783i \(0.377438\pi\)
\(720\) 250.929 + 1423.09i 0.0129883 + 0.0736602i
\(721\) −12226.8 10259.5i −0.631551 0.529934i
\(722\) 9483.59 + 7957.68i 0.488840 + 0.410186i
\(723\) 503.722 + 2856.75i 0.0259109 + 0.146948i
\(724\) −6010.48 2187.64i −0.308533 0.112297i
\(725\) 1101.10 + 400.767i 0.0564052 + 0.0205298i
\(726\) −1023.15 + 1772.15i −0.0523039 + 0.0905930i
\(727\) 1826.75 10360.0i 0.0931920 0.528518i −0.902094 0.431539i \(-0.857971\pi\)
0.995286 0.0969793i \(-0.0309181\pi\)
\(728\) −2227.37 + 1868.99i −0.113396 + 0.0951502i
\(729\) −10720.4 18568.3i −0.544654 0.943368i
\(730\) 12353.1 21396.3i 0.626316 1.08481i
\(731\) −342.597 1942.96i −0.0173343 0.0983080i
\(732\) 5333.04 + 9237.10i 0.269283 + 0.466411i
\(733\) 27643.6 10061.4i 1.39296 0.506996i 0.466879 0.884321i \(-0.345378\pi\)
0.926081 + 0.377325i \(0.123156\pi\)
\(734\) 16053.5 0.807283
\(735\) −6908.88 + 2514.63i −0.346718 + 0.126195i
\(736\) 237.676 1347.93i 0.0119033 0.0675071i
\(737\) −6784.83 5693.15i −0.339108 0.284545i
\(738\) 135.305 113.535i 0.00674885 0.00566296i
\(739\) −12721.2 −0.633229 −0.316615 0.948554i \(-0.602546\pi\)
−0.316615 + 0.948554i \(0.602546\pi\)
\(740\) −6736.86 + 7107.18i −0.334665 + 0.353061i
\(741\) −2975.10 −0.147494
\(742\) −7822.71 + 6564.04i −0.387036 + 0.324762i
\(743\) 3449.22 + 2894.24i 0.170309 + 0.142906i 0.723958 0.689844i \(-0.242321\pi\)
−0.553649 + 0.832750i \(0.686765\pi\)
\(744\) 1147.87 6509.92i 0.0565633 0.320787i
\(745\) 29803.3 10847.5i 1.46565 0.533452i
\(746\) 16790.4 0.824051
\(747\) −6783.07 + 2468.83i −0.332235 + 0.120924i
\(748\) 3059.69 + 5299.54i 0.149563 + 0.259051i
\(749\) −3269.94 18544.8i −0.159521 0.904688i
\(750\) 6193.40 10727.3i 0.301535 0.522273i
\(751\) −6730.04 11656.8i −0.327008 0.566394i 0.654909 0.755708i \(-0.272707\pi\)
−0.981917 + 0.189314i \(0.939374\pi\)
\(752\) −4105.02 + 3444.52i −0.199062 + 0.167033i
\(753\) −3576.13 + 20281.3i −0.173070 + 0.981527i
\(754\) −4670.50 + 8089.54i −0.225583 + 0.390721i
\(755\) 23047.0 + 8388.43i 1.11095 + 0.404353i
\(756\) −7839.74 2853.43i −0.377154 0.137273i
\(757\) −6120.02 34708.4i −0.293839 1.66644i −0.671884 0.740656i \(-0.734515\pi\)
0.378045 0.925787i \(-0.376596\pi\)
\(758\) −12451.2 10447.8i −0.596634 0.500635i
\(759\) 4686.97 + 3932.84i 0.224145 + 0.188080i
\(760\) 390.861 + 2216.68i 0.0186553 + 0.105799i
\(761\) −31120.0 11326.7i −1.48239 0.539545i −0.530955 0.847400i \(-0.678167\pi\)
−0.951433 + 0.307854i \(0.900389\pi\)
\(762\) −19522.0 7105.44i −0.928096 0.337799i
\(763\) 2198.27 3807.52i 0.104302 0.180657i
\(764\) −148.709 + 843.368i −0.00704200 + 0.0399372i
\(765\) 3199.46 2684.67i 0.151211 0.126881i
\(766\) 4928.93 + 8537.15i 0.232493 + 0.402689i
\(767\) −3406.21 + 5899.73i −0.160353 + 0.277740i
\(768\) 192.220 + 1090.14i 0.00903146 + 0.0512199i
\(769\) −1052.85 1823.60i −0.0493717 0.0855144i 0.840283 0.542147i \(-0.182389\pi\)