Properties

Label 230.4.g.b.31.1
Level $230$
Weight $4$
Character 230.31
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 31.1
Character \(\chi\) \(=\) 230.31
Dual form 230.4.g.b.141.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.284630 - 1.97964i) q^{2} +(-3.91607 - 8.57500i) q^{3} +(-3.83797 - 1.12693i) q^{4} +(-3.27430 - 3.77875i) q^{5} +(-18.0901 + 5.31172i) q^{6} +(13.7433 + 8.83226i) q^{7} +(-3.32332 + 7.27706i) q^{8} +(-40.5137 + 46.7553i) q^{9} +O(q^{10})\) \(q+(0.284630 - 1.97964i) q^{2} +(-3.91607 - 8.57500i) q^{3} +(-3.83797 - 1.12693i) q^{4} +(-3.27430 - 3.77875i) q^{5} +(-18.0901 + 5.31172i) q^{6} +(13.7433 + 8.83226i) q^{7} +(-3.32332 + 7.27706i) q^{8} +(-40.5137 + 46.7553i) q^{9} +(-8.41254 + 5.40641i) q^{10} +(-1.47476 - 10.2572i) q^{11} +(5.36634 + 37.3237i) q^{12} +(-48.3807 + 31.0924i) q^{13} +(21.3965 - 24.6928i) q^{14} +(-19.5803 + 42.8750i) q^{15} +(13.4601 + 8.65025i) q^{16} +(-52.8175 + 15.5086i) q^{17} +(81.0275 + 93.5107i) q^{18} +(59.8281 + 17.5671i) q^{19} +(8.30830 + 18.1926i) q^{20} +(21.9170 - 152.436i) q^{21} -20.7253 q^{22} +(-110.080 + 7.02854i) q^{23} +75.4151 q^{24} +(-3.55787 + 24.7455i) q^{25} +(47.7812 + 104.626i) q^{26} +(315.366 + 92.5997i) q^{27} +(-42.7929 - 49.3856i) q^{28} +(238.597 - 70.0584i) q^{29} +(79.3040 + 50.9656i) q^{30} +(65.6512 - 143.756i) q^{31} +(20.9555 - 24.1840i) q^{32} +(-82.1798 + 52.8138i) q^{33} +(15.6681 + 108.974i) q^{34} +(-11.6247 - 80.8518i) q^{35} +(208.181 - 133.790i) q^{36} +(-233.984 + 270.032i) q^{37} +(51.8055 - 113.438i) q^{38} +(456.079 + 293.104i) q^{39} +(38.3797 - 11.2693i) q^{40} +(-320.284 - 369.627i) q^{41} +(-295.531 - 86.7757i) q^{42} +(53.6591 + 117.497i) q^{43} +(-5.89903 + 41.0286i) q^{44} +309.331 q^{45} +(-17.4180 + 219.920i) q^{46} -126.988 q^{47} +(21.4654 - 149.295i) q^{48} +(-31.6190 - 69.2359i) q^{49} +(47.9746 + 14.0866i) q^{50} +(339.824 + 392.177i) q^{51} +(220.723 - 64.8100i) q^{52} +(153.390 + 98.5774i) q^{53} +(273.077 - 597.955i) q^{54} +(-33.9304 + 39.1578i) q^{55} +(-109.946 + 70.6580i) q^{56} +(-83.6531 - 581.820i) q^{57} +(-70.7788 - 492.278i) q^{58} +(-548.854 + 352.727i) q^{59} +(123.466 - 142.487i) q^{60} +(-273.092 + 597.988i) q^{61} +(-265.899 - 170.883i) q^{62} +(-969.746 + 284.743i) q^{63} +(-41.9111 - 48.3680i) q^{64} +(275.903 + 81.0125i) q^{65} +(81.1616 + 177.719i) q^{66} +(0.389127 - 2.70644i) q^{67} +220.189 q^{68} +(491.351 + 916.411i) q^{69} -163.366 q^{70} +(-60.3189 + 419.527i) q^{71} +(-205.601 - 450.204i) q^{72} +(49.4576 + 14.5221i) q^{73} +(467.968 + 540.064i) q^{74} +(226.126 - 66.3965i) q^{75} +(-209.822 - 134.844i) q^{76} +(70.3259 - 153.992i) q^{77} +(710.055 - 819.447i) q^{78} +(-349.421 + 224.559i) q^{79} +(-11.3852 - 79.1857i) q^{80} +(-203.231 - 1413.50i) q^{81} +(-822.893 + 528.841i) q^{82} +(-783.369 + 904.056i) q^{83} +(-255.902 + 560.347i) q^{84} +(231.544 + 148.804i) q^{85} +(247.875 - 72.7827i) q^{86} +(-1535.11 - 1771.62i) q^{87} +(79.5430 + 23.3559i) q^{88} +(281.624 + 616.672i) q^{89} +(88.0447 - 612.365i) q^{90} -939.524 q^{91} +(430.405 + 97.0771i) q^{92} -1489.80 q^{93} +(-36.1446 + 251.391i) q^{94} +(-129.514 - 283.595i) q^{95} +(-289.441 - 84.9875i) q^{96} +(304.258 + 351.133i) q^{97} +(-146.062 + 42.8877i) q^{98} +(539.325 + 346.603i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.284630 1.97964i 0.100632 0.699909i
\(3\) −3.91607 8.57500i −0.753648 1.65026i −0.759697 0.650277i \(-0.774653\pi\)
0.00604904 0.999982i \(-0.498075\pi\)
\(4\) −3.83797 1.12693i −0.479746 0.140866i
\(5\) −3.27430 3.77875i −0.292863 0.337981i
\(6\) −18.0901 + 5.31172i −1.23087 + 0.361417i
\(7\) 13.7433 + 8.83226i 0.742066 + 0.476897i 0.856249 0.516563i \(-0.172789\pi\)
−0.114183 + 0.993460i \(0.536425\pi\)
\(8\) −3.32332 + 7.27706i −0.146871 + 0.321603i
\(9\) −40.5137 + 46.7553i −1.50051 + 1.73168i
\(10\) −8.41254 + 5.40641i −0.266028 + 0.170966i
\(11\) −1.47476 10.2572i −0.0404233 0.281150i 0.959577 0.281447i \(-0.0908145\pi\)
−1.00000 0.000297315i \(0.999905\pi\)
\(12\) 5.36634 + 37.3237i 0.129094 + 0.897869i
\(13\) −48.3807 + 31.0924i −1.03218 + 0.663344i −0.943041 0.332675i \(-0.892049\pi\)
−0.0891417 + 0.996019i \(0.528412\pi\)
\(14\) 21.3965 24.6928i 0.408460 0.471388i
\(15\) −19.5803 + 42.8750i −0.337042 + 0.738018i
\(16\) 13.4601 + 8.65025i 0.210313 + 0.135160i
\(17\) −52.8175 + 15.5086i −0.753537 + 0.221259i −0.635872 0.771795i \(-0.719359\pi\)
−0.117666 + 0.993053i \(0.537541\pi\)
\(18\) 81.0275 + 93.5107i 1.06102 + 1.22448i
\(19\) 59.8281 + 17.5671i 0.722395 + 0.212114i 0.622206 0.782854i \(-0.286237\pi\)
0.100190 + 0.994968i \(0.468055\pi\)
\(20\) 8.30830 + 18.1926i 0.0928896 + 0.203400i
\(21\) 21.9170 152.436i 0.227747 1.58401i
\(22\) −20.7253 −0.200847
\(23\) −110.080 + 7.02854i −0.997968 + 0.0637197i
\(24\) 75.4151 0.641418
\(25\) −3.55787 + 24.7455i −0.0284630 + 0.197964i
\(26\) 47.7812 + 104.626i 0.360410 + 0.789188i
\(27\) 315.366 + 92.5997i 2.24786 + 0.660030i
\(28\) −42.7929 49.3856i −0.288825 0.333322i
\(29\) 238.597 70.0584i 1.52781 0.448604i 0.593427 0.804887i \(-0.297774\pi\)
0.934378 + 0.356283i \(0.115956\pi\)
\(30\) 79.3040 + 50.9656i 0.482629 + 0.310167i
\(31\) 65.6512 143.756i 0.380365 0.832883i −0.618525 0.785765i \(-0.712269\pi\)
0.998889 0.0471172i \(-0.0150034\pi\)
\(32\) 20.9555 24.1840i 0.115764 0.133599i
\(33\) −82.1798 + 52.8138i −0.433505 + 0.278597i
\(34\) 15.6681 + 108.974i 0.0790311 + 0.549674i
\(35\) −11.6247 80.8518i −0.0561411 0.390470i
\(36\) 208.181 133.790i 0.963799 0.619396i
\(37\) −233.984 + 270.032i −1.03964 + 1.19981i −0.0601774 + 0.998188i \(0.519167\pi\)
−0.979463 + 0.201622i \(0.935379\pi\)
\(38\) 51.8055 113.438i 0.221157 0.484266i
\(39\) 456.079 + 293.104i 1.87259 + 1.20344i
\(40\) 38.3797 11.2693i 0.151709 0.0445458i
\(41\) −320.284 369.627i −1.22000 1.40795i −0.884907 0.465768i \(-0.845778\pi\)
−0.335092 0.942185i \(-0.608767\pi\)
\(42\) −295.531 86.7757i −1.08575 0.318804i
\(43\) 53.6591 + 117.497i 0.190301 + 0.416701i 0.980600 0.196021i \(-0.0628020\pi\)
−0.790299 + 0.612722i \(0.790075\pi\)
\(44\) −5.89903 + 41.0286i −0.0202116 + 0.140575i
\(45\) 309.331 1.02472
\(46\) −17.4180 + 219.920i −0.0558293 + 0.704899i
\(47\) −126.988 −0.394109 −0.197054 0.980393i \(-0.563138\pi\)
−0.197054 + 0.980393i \(0.563138\pi\)
\(48\) 21.4654 149.295i 0.0645471 0.448935i
\(49\) −31.6190 69.2359i −0.0921835 0.201854i
\(50\) 47.9746 + 14.0866i 0.135693 + 0.0398430i
\(51\) 339.824 + 392.177i 0.933036 + 1.07678i
\(52\) 220.723 64.8100i 0.588629 0.172837i
\(53\) 153.390 + 98.5774i 0.397541 + 0.255484i 0.724103 0.689692i \(-0.242254\pi\)
−0.326562 + 0.945176i \(0.605890\pi\)
\(54\) 273.077 597.955i 0.688167 1.50688i
\(55\) −33.9304 + 39.1578i −0.0831850 + 0.0960006i
\(56\) −109.946 + 70.6580i −0.262360 + 0.168609i
\(57\) −83.6531 581.820i −0.194388 1.35200i
\(58\) −70.7788 492.278i −0.160236 1.11447i
\(59\) −548.854 + 352.727i −1.21110 + 0.778325i −0.980842 0.194805i \(-0.937592\pi\)
−0.230255 + 0.973130i \(0.573956\pi\)
\(60\) 123.466 142.487i 0.265656 0.306584i
\(61\) −273.092 + 597.988i −0.573210 + 1.25516i 0.371860 + 0.928289i \(0.378720\pi\)
−0.945070 + 0.326867i \(0.894007\pi\)
\(62\) −265.899 170.883i −0.544666 0.350035i
\(63\) −969.746 + 284.743i −1.93931 + 0.569432i
\(64\) −41.9111 48.3680i −0.0818576 0.0944687i
\(65\) 275.903 + 81.0125i 0.526486 + 0.154590i
\(66\) 81.1616 + 177.719i 0.151368 + 0.331450i
\(67\) 0.389127 2.70644i 0.000709544 0.00493499i −0.989464 0.144782i \(-0.953752\pi\)
0.990173 + 0.139847i \(0.0446610\pi\)
\(68\) 220.189 0.392675
\(69\) 491.351 + 916.411i 0.857270 + 1.59888i
\(70\) −163.366 −0.278943
\(71\) −60.3189 + 419.527i −0.100824 + 0.701249i 0.875228 + 0.483711i \(0.160712\pi\)
−0.976052 + 0.217538i \(0.930198\pi\)
\(72\) −205.601 450.204i −0.336532 0.736903i
\(73\) 49.4576 + 14.5221i 0.0792956 + 0.0232833i 0.321140 0.947032i \(-0.395934\pi\)
−0.241844 + 0.970315i \(0.577752\pi\)
\(74\) 467.968 + 540.064i 0.735137 + 0.848393i
\(75\) 226.126 66.3965i 0.348143 0.102224i
\(76\) −209.822 134.844i −0.316687 0.203522i
\(77\) 70.3259 153.992i 0.104083 0.227910i
\(78\) 710.055 819.447i 1.03074 1.18954i
\(79\) −349.421 + 224.559i −0.497633 + 0.319809i −0.765269 0.643711i \(-0.777394\pi\)
0.267636 + 0.963520i \(0.413758\pi\)
\(80\) −11.3852 79.1857i −0.0159113 0.110665i
\(81\) −203.231 1413.50i −0.278780 1.93896i
\(82\) −822.893 + 528.841i −1.10821 + 0.712204i
\(83\) −783.369 + 904.056i −1.03597 + 1.19558i −0.0555959 + 0.998453i \(0.517706\pi\)
−0.980378 + 0.197125i \(0.936840\pi\)
\(84\) −255.902 + 560.347i −0.332395 + 0.727843i
\(85\) 231.544 + 148.804i 0.295464 + 0.189883i
\(86\) 247.875 72.7827i 0.310803 0.0912600i
\(87\) −1535.11 1771.62i −1.89174 2.18318i
\(88\) 79.5430 + 23.3559i 0.0963558 + 0.0282926i
\(89\) 281.624 + 616.672i 0.335417 + 0.734461i 0.999918 0.0128265i \(-0.00408292\pi\)
−0.664501 + 0.747288i \(0.731356\pi\)
\(90\) 88.0447 612.365i 0.103119 0.717210i
\(91\) −939.524 −1.08229
\(92\) 430.405 + 97.0771i 0.487748 + 0.110011i
\(93\) −1489.80 −1.66113
\(94\) −36.1446 + 251.391i −0.0396599 + 0.275841i
\(95\) −129.514 283.595i −0.139872 0.306277i
\(96\) −289.441 84.9875i −0.307718 0.0903542i
\(97\) 304.258 + 351.133i 0.318482 + 0.367548i 0.892306 0.451431i \(-0.149086\pi\)
−0.573824 + 0.818979i \(0.694541\pi\)
\(98\) −146.062 + 42.8877i −0.150556 + 0.0442072i
\(99\) 539.325 + 346.603i 0.547517 + 0.351868i
\(100\) 41.5415 90.9632i 0.0415415 0.0909632i
\(101\) 1000.66 1154.83i 0.985838 1.13772i −0.00463176 0.999989i \(-0.501474\pi\)
0.990470 0.137729i \(-0.0439802\pi\)
\(102\) 873.095 561.104i 0.847542 0.544682i
\(103\) 66.0283 + 459.237i 0.0631646 + 0.439320i 0.996723 + 0.0808936i \(0.0257774\pi\)
−0.933558 + 0.358426i \(0.883314\pi\)
\(104\) −65.4764 455.399i −0.0617355 0.429380i
\(105\) −647.781 + 416.303i −0.602066 + 0.386924i
\(106\) 238.807 275.598i 0.218821 0.252533i
\(107\) 146.699 321.227i 0.132542 0.290226i −0.831712 0.555208i \(-0.812639\pi\)
0.964253 + 0.264982i \(0.0853660\pi\)
\(108\) −1106.01 710.790i −0.985425 0.633294i
\(109\) −350.584 + 102.941i −0.308072 + 0.0904582i −0.432114 0.901819i \(-0.642232\pi\)
0.124042 + 0.992277i \(0.460414\pi\)
\(110\) 67.8608 + 78.3156i 0.0588207 + 0.0678827i
\(111\) 3231.82 + 948.948i 2.76352 + 0.811443i
\(112\) 108.584 + 237.765i 0.0916090 + 0.200596i
\(113\) 245.433 1707.02i 0.204322 1.42109i −0.586948 0.809624i \(-0.699671\pi\)
0.791270 0.611466i \(-0.209420\pi\)
\(114\) −1175.61 −0.965838
\(115\) 386.994 + 392.951i 0.313804 + 0.318634i
\(116\) −994.680 −0.796153
\(117\) 506.347 3521.72i 0.400101 2.78276i
\(118\) 542.054 + 1186.93i 0.422882 + 0.925983i
\(119\) −862.861 253.359i −0.664692 0.195171i
\(120\) −246.932 284.975i −0.187847 0.216788i
\(121\) 1174.05 344.732i 0.882082 0.259003i
\(122\) 1106.07 + 710.830i 0.820812 + 0.527504i
\(123\) −1915.30 + 4193.92i −1.40404 + 3.07442i
\(124\) −413.971 + 477.748i −0.299804 + 0.345992i
\(125\) 105.157 67.5801i 0.0752440 0.0483564i
\(126\) 287.671 + 2000.80i 0.203395 + 1.41464i
\(127\) −37.0194 257.476i −0.0258657 0.179900i 0.972793 0.231676i \(-0.0744209\pi\)
−0.998659 + 0.0517761i \(0.983512\pi\)
\(128\) −107.680 + 69.2020i −0.0743570 + 0.0477863i
\(129\) 797.404 920.253i 0.544244 0.628091i
\(130\) 238.906 523.131i 0.161180 0.352936i
\(131\) −894.193 574.663i −0.596381 0.383271i 0.207347 0.978267i \(-0.433517\pi\)
−0.803728 + 0.594996i \(0.797153\pi\)
\(132\) 374.921 110.087i 0.247218 0.0725896i
\(133\) 667.076 + 769.847i 0.434908 + 0.501911i
\(134\) −5.24702 1.54067i −0.00338264 0.000993233i
\(135\) −682.692 1494.89i −0.435235 0.953032i
\(136\) 62.6724 435.896i 0.0395156 0.274837i
\(137\) −2886.27 −1.79993 −0.899965 0.435962i \(-0.856408\pi\)
−0.899965 + 0.435962i \(0.856408\pi\)
\(138\) 1954.02 711.861i 1.20534 0.439113i
\(139\) −2098.67 −1.28062 −0.640311 0.768116i \(-0.721195\pi\)
−0.640311 + 0.768116i \(0.721195\pi\)
\(140\) −46.4989 + 323.407i −0.0280705 + 0.195235i
\(141\) 497.294 + 1088.92i 0.297019 + 0.650382i
\(142\) 813.345 + 238.820i 0.480665 + 0.141136i
\(143\) 390.269 + 450.394i 0.228223 + 0.263384i
\(144\) −949.763 + 278.875i −0.549631 + 0.161386i
\(145\) −1045.97 672.206i −0.599057 0.384991i
\(146\) 42.8256 93.7750i 0.0242758 0.0531567i
\(147\) −469.875 + 542.265i −0.263637 + 0.304253i
\(148\) 1202.33 772.691i 0.667777 0.429154i
\(149\) −69.0206 480.049i −0.0379489 0.263940i 0.962010 0.273014i \(-0.0880207\pi\)
−0.999959 + 0.00907402i \(0.997112\pi\)
\(150\) −67.0793 466.547i −0.0365133 0.253956i
\(151\) 1563.94 1005.09i 0.842860 0.541673i −0.0464802 0.998919i \(-0.514800\pi\)
0.889340 + 0.457246i \(0.151164\pi\)
\(152\) −326.665 + 376.991i −0.174316 + 0.201171i
\(153\) 1414.72 3097.81i 0.747540 1.63688i
\(154\) −284.833 183.051i −0.149042 0.0957835i
\(155\) −758.180 + 222.622i −0.392893 + 0.115364i
\(156\) −1420.11 1638.89i −0.728845 0.841132i
\(157\) −1958.23 574.989i −0.995439 0.292287i −0.256856 0.966450i \(-0.582687\pi\)
−0.738583 + 0.674162i \(0.764505\pi\)
\(158\) 345.092 + 755.646i 0.173760 + 0.380481i
\(159\) 244.617 1701.35i 0.122009 0.848590i
\(160\) −160.000 −0.0790569
\(161\) −1574.94 875.659i −0.770946 0.428644i
\(162\) −2856.07 −1.38515
\(163\) −197.834 + 1375.96i −0.0950646 + 0.661189i 0.885449 + 0.464737i \(0.153851\pi\)
−0.980513 + 0.196452i \(0.937058\pi\)
\(164\) 812.697 + 1779.56i 0.386957 + 0.847318i
\(165\) 468.652 + 137.609i 0.221118 + 0.0649261i
\(166\) 1566.74 + 1808.11i 0.732544 + 0.845401i
\(167\) 635.827 186.696i 0.294621 0.0865087i −0.131082 0.991372i \(-0.541845\pi\)
0.425703 + 0.904863i \(0.360027\pi\)
\(168\) 1036.45 + 666.085i 0.475975 + 0.305890i
\(169\) 461.287 1010.08i 0.209962 0.459753i
\(170\) 360.483 416.020i 0.162634 0.187690i
\(171\) −3245.22 + 2085.57i −1.45127 + 0.932677i
\(172\) −73.5312 511.420i −0.0325971 0.226718i
\(173\) −433.342 3013.96i −0.190441 1.32455i −0.830842 0.556508i \(-0.812141\pi\)
0.640401 0.768041i \(-0.278768\pi\)
\(174\) −3944.10 + 2534.72i −1.71840 + 1.10435i
\(175\) −267.456 + 308.660i −0.115530 + 0.133329i
\(176\) 68.8767 150.819i 0.0294987 0.0645932i
\(177\) 5173.99 + 3325.12i 2.19718 + 1.41204i
\(178\) 1300.95 381.993i 0.547810 0.160852i
\(179\) 868.954 + 1002.83i 0.362842 + 0.418742i 0.907590 0.419858i \(-0.137920\pi\)
−0.544748 + 0.838600i \(0.683375\pi\)
\(180\) −1187.20 348.594i −0.491605 0.144348i
\(181\) 338.808 + 741.886i 0.139135 + 0.304663i 0.966354 0.257217i \(-0.0828056\pi\)
−0.827219 + 0.561880i \(0.810078\pi\)
\(182\) −267.416 + 1859.92i −0.108913 + 0.757508i
\(183\) 6197.19 2.50333
\(184\) 314.684 824.416i 0.126080 0.330309i
\(185\) 1786.52 0.709985
\(186\) −424.042 + 2949.28i −0.167163 + 1.16264i
\(187\) 236.967 + 518.886i 0.0926673 + 0.202913i
\(188\) 487.377 + 143.107i 0.189072 + 0.0555167i
\(189\) 3516.29 + 4058.01i 1.35329 + 1.56178i
\(190\) −598.281 + 175.671i −0.228441 + 0.0670765i
\(191\) 86.3101 + 55.4681i 0.0326973 + 0.0210133i 0.556887 0.830588i \(-0.311996\pi\)
−0.524190 + 0.851601i \(0.675632\pi\)
\(192\) −250.628 + 548.800i −0.0942060 + 0.206282i
\(193\) −3027.30 + 3493.69i −1.12906 + 1.30301i −0.181520 + 0.983387i \(0.558102\pi\)
−0.947545 + 0.319623i \(0.896444\pi\)
\(194\) 781.719 502.380i 0.289300 0.185922i
\(195\) −385.774 2683.12i −0.141671 0.985344i
\(196\) 43.3287 + 301.358i 0.0157903 + 0.109824i
\(197\) 1565.12 1005.84i 0.566040 0.363772i −0.226106 0.974103i \(-0.572600\pi\)
0.792147 + 0.610331i \(0.208963\pi\)
\(198\) 839.658 969.017i 0.301373 0.347803i
\(199\) −2081.58 + 4558.04i −0.741506 + 1.62367i 0.0395560 + 0.999217i \(0.487406\pi\)
−0.781062 + 0.624454i \(0.785322\pi\)
\(200\) −168.251 108.128i −0.0594856 0.0382291i
\(201\) −24.7316 + 7.26184i −0.00867875 + 0.00254831i
\(202\) −2001.33 2309.65i −0.697093 0.804488i
\(203\) 3897.87 + 1144.52i 1.34767 + 0.395712i
\(204\) −862.277 1888.12i −0.295939 0.648015i
\(205\) −348.022 + 2420.54i −0.118570 + 0.824674i
\(206\) 927.918 0.313840
\(207\) 4131.13 5431.58i 1.38712 1.82377i
\(208\) −920.163 −0.306740
\(209\) 91.9568 639.574i 0.0304344 0.211676i
\(210\) 639.754 + 1400.87i 0.210225 + 0.460328i
\(211\) 2734.59 + 802.947i 0.892212 + 0.261977i 0.695536 0.718492i \(-0.255167\pi\)
0.196676 + 0.980469i \(0.436985\pi\)
\(212\) −477.615 551.197i −0.154730 0.178568i
\(213\) 3833.65 1125.66i 1.23323 0.362109i
\(214\) −594.159 381.843i −0.189794 0.121973i
\(215\) 268.296 587.485i 0.0851051 0.186354i
\(216\) −1721.91 + 1987.19i −0.542414 + 0.625979i
\(217\) 2171.95 1395.83i 0.679455 0.436659i
\(218\) 103.999 + 723.332i 0.0323107 + 0.224726i
\(219\) −69.1528 480.968i −0.0213375 0.148406i
\(220\) 174.352 112.049i 0.0534310 0.0343380i
\(221\) 2073.15 2392.54i 0.631018 0.728234i
\(222\) 2798.45 6127.75i 0.846034 1.85256i
\(223\) −3031.29 1948.09i −0.910269 0.584994i −0.000449884 1.00000i \(-0.500143\pi\)
−0.909819 + 0.415006i \(0.863780\pi\)
\(224\) 501.597 147.282i 0.149618 0.0439317i
\(225\) −1012.84 1168.88i −0.300102 0.346336i
\(226\) −3309.44 971.739i −0.974074 0.286014i
\(227\) 361.203 + 790.924i 0.105612 + 0.231257i 0.955059 0.296416i \(-0.0957916\pi\)
−0.849447 + 0.527674i \(0.823064\pi\)
\(228\) −334.612 + 2327.28i −0.0971940 + 0.675999i
\(229\) −3046.91 −0.879239 −0.439619 0.898184i \(-0.644887\pi\)
−0.439619 + 0.898184i \(0.644887\pi\)
\(230\) 888.052 654.265i 0.254593 0.187569i
\(231\) −1595.88 −0.454552
\(232\) −283.115 + 1969.11i −0.0801182 + 0.557235i
\(233\) 1595.96 + 3494.66i 0.448732 + 0.982586i 0.989913 + 0.141680i \(0.0452504\pi\)
−0.541180 + 0.840907i \(0.682022\pi\)
\(234\) −6827.63 2004.77i −1.90742 0.560069i
\(235\) 415.798 + 479.856i 0.115420 + 0.133202i
\(236\) 2503.99 735.237i 0.690659 0.202796i
\(237\) 3293.96 + 2116.90i 0.902807 + 0.580199i
\(238\) −747.156 + 1636.04i −0.203491 + 0.445584i
\(239\) 3590.23 4143.35i 0.971686 1.12139i −0.0208926 0.999782i \(-0.506651\pi\)
0.992579 0.121604i \(-0.0388037\pi\)
\(240\) −634.432 + 407.725i −0.170635 + 0.109660i
\(241\) −852.529 5929.47i −0.227868 1.58486i −0.707064 0.707149i \(-0.749981\pi\)
0.479196 0.877708i \(-0.340928\pi\)
\(242\) −348.277 2422.32i −0.0925129 0.643441i
\(243\) −3859.33 + 2480.24i −1.01883 + 0.654763i
\(244\) 1722.01 1987.31i 0.451805 0.521411i
\(245\) −158.095 + 346.179i −0.0412257 + 0.0902718i
\(246\) 7757.31 + 4985.32i 2.01052 + 1.29208i
\(247\) −3440.73 + 1010.29i −0.886349 + 0.260256i
\(248\) 827.941 + 955.495i 0.211993 + 0.244653i
\(249\) 10820.0 + 3177.04i 2.75377 + 0.808581i
\(250\) −103.854 227.408i −0.0262732 0.0575302i
\(251\) −238.961 + 1662.01i −0.0600919 + 0.417948i 0.937464 + 0.348081i \(0.113167\pi\)
−0.997556 + 0.0698673i \(0.977742\pi\)
\(252\) 4042.74 1.01059
\(253\) 234.434 + 1118.74i 0.0582559 + 0.278003i
\(254\) −520.246 −0.128516
\(255\) 369.254 2568.22i 0.0906806 0.630698i
\(256\) 106.346 + 232.866i 0.0259634 + 0.0568520i
\(257\) −6799.46 1996.50i −1.65034 0.484585i −0.681410 0.731902i \(-0.738633\pi\)
−0.968935 + 0.247317i \(0.920451\pi\)
\(258\) −1594.81 1840.51i −0.384839 0.444128i
\(259\) −5600.69 + 1644.51i −1.34367 + 0.394536i
\(260\) −967.613 621.847i −0.230803 0.148328i
\(261\) −6390.85 + 13994.0i −1.51565 + 3.31880i
\(262\) −1392.14 + 1606.62i −0.328270 + 0.378844i
\(263\) −6929.93 + 4453.59i −1.62478 + 1.04418i −0.671990 + 0.740561i \(0.734560\pi\)
−0.952792 + 0.303623i \(0.901804\pi\)
\(264\) −111.219 773.544i −0.0259282 0.180335i
\(265\) −129.744 902.393i −0.0300760 0.209183i
\(266\) 1713.89 1101.45i 0.395058 0.253888i
\(267\) 4185.10 4829.86i 0.959265 1.10705i
\(268\) −4.54343 + 9.94872i −0.00103557 + 0.00226759i
\(269\) 3688.26 + 2370.30i 0.835975 + 0.537248i 0.887171 0.461440i \(-0.152667\pi\)
−0.0511966 + 0.998689i \(0.516304\pi\)
\(270\) −3153.66 + 925.997i −0.710835 + 0.208720i
\(271\) −5552.49 6407.92i −1.24461 1.43636i −0.857627 0.514272i \(-0.828062\pi\)
−0.386985 0.922086i \(-0.626483\pi\)
\(272\) −845.081 248.138i −0.188384 0.0553146i
\(273\) 3679.24 + 8056.41i 0.815669 + 1.78607i
\(274\) −821.517 + 5713.78i −0.181130 + 1.25979i
\(275\) 259.066 0.0568082
\(276\) −853.058 4070.88i −0.186044 0.887819i
\(277\) −3688.63 −0.800102 −0.400051 0.916493i \(-0.631008\pi\)
−0.400051 + 0.916493i \(0.631008\pi\)
\(278\) −597.342 + 4154.61i −0.128871 + 0.896319i
\(279\) 4061.59 + 8893.64i 0.871545 + 1.90842i
\(280\) 626.996 + 184.103i 0.133822 + 0.0392937i
\(281\) −726.965 838.962i −0.154331 0.178108i 0.673319 0.739352i \(-0.264868\pi\)
−0.827650 + 0.561245i \(0.810323\pi\)
\(282\) 2297.22 674.525i 0.485098 0.142438i
\(283\) −6679.19 4292.46i −1.40296 0.901626i −0.403049 0.915178i \(-0.632050\pi\)
−0.999908 + 0.0135528i \(0.995686\pi\)
\(284\) 704.280 1542.16i 0.147152 0.322219i
\(285\) −1924.65 + 2221.16i −0.400022 + 0.461650i
\(286\) 1002.70 644.398i 0.207311 0.133231i
\(287\) −1137.10 7908.71i −0.233871 1.62661i
\(288\) 281.743 + 1959.57i 0.0576454 + 0.400933i
\(289\) −1583.90 + 1017.91i −0.322390 + 0.207188i
\(290\) −1628.44 + 1879.32i −0.329743 + 0.380543i
\(291\) 1819.47 3984.08i 0.366526 0.802580i
\(292\) −173.452 111.471i −0.0347619 0.0223401i
\(293\) 5330.67 1565.23i 1.06287 0.312087i 0.296864 0.954920i \(-0.404059\pi\)
0.766006 + 0.642833i \(0.222241\pi\)
\(294\) 939.750 + 1084.53i 0.186420 + 0.215140i
\(295\) 3129.98 + 919.046i 0.617745 + 0.181386i
\(296\) −1187.43 2600.12i −0.233169 0.510570i
\(297\) 484.722 3371.32i 0.0947018 0.658665i
\(298\) −969.971 −0.188553
\(299\) 5107.21 3762.69i 0.987818 0.727766i
\(300\) −942.689 −0.181420
\(301\) −300.313 + 2088.72i −0.0575075 + 0.399973i
\(302\) −1544.57 3382.13i −0.294304 0.644435i
\(303\) −13821.3 4058.30i −2.62050 0.769449i
\(304\) 653.330 + 753.983i 0.123260 + 0.142250i
\(305\) 3153.83 926.048i 0.592091 0.173854i
\(306\) −5729.89 3682.38i −1.07044 0.687933i
\(307\) 434.980 952.473i 0.0808652 0.177070i −0.864881 0.501978i \(-0.832606\pi\)
0.945746 + 0.324908i \(0.105333\pi\)
\(308\) −443.447 + 511.765i −0.0820381 + 0.0946771i
\(309\) 3679.38 2364.60i 0.677387 0.435330i
\(310\) 224.911 + 1564.29i 0.0412067 + 0.286599i
\(311\) −675.036 4694.98i −0.123080 0.856038i −0.954034 0.299698i \(-0.903114\pi\)
0.830954 0.556340i \(-0.187795\pi\)
\(312\) −3648.63 + 2344.83i −0.662061 + 0.425481i
\(313\) 2982.99 3442.55i 0.538686 0.621676i −0.419524 0.907744i \(-0.637803\pi\)
0.958209 + 0.286068i \(0.0923483\pi\)
\(314\) −1695.64 + 3712.94i −0.304747 + 0.667304i
\(315\) 4251.21 + 2732.09i 0.760409 + 0.488685i
\(316\) 1594.13 468.079i 0.283788 0.0833276i
\(317\) −866.676 1000.20i −0.153556 0.177214i 0.673759 0.738951i \(-0.264679\pi\)
−0.827316 + 0.561738i \(0.810133\pi\)
\(318\) −3298.44 968.510i −0.581659 0.170790i
\(319\) −1070.47 2344.01i −0.187884 0.411408i
\(320\) −45.5407 + 316.743i −0.00795564 + 0.0553327i
\(321\) −3329.00 −0.578837
\(322\) −2181.77 + 2868.57i −0.377593 + 0.496457i
\(323\) −3432.42 −0.591284
\(324\) −812.923 + 5654.01i −0.139390 + 0.969480i
\(325\) −597.265 1307.83i −0.101939 0.223216i
\(326\) 2667.61 + 783.280i 0.453206 + 0.133073i
\(327\) 2255.63 + 2603.14i 0.381457 + 0.440225i
\(328\) 3754.21 1102.33i 0.631986 0.185568i
\(329\) −1745.23 1121.59i −0.292455 0.187949i
\(330\) 405.808 888.596i 0.0676939 0.148229i
\(331\) −3089.14 + 3565.06i −0.512974 + 0.592004i −0.951858 0.306540i \(-0.900829\pi\)
0.438884 + 0.898544i \(0.355374\pi\)
\(332\) 4025.35 2586.94i 0.665422 0.427641i
\(333\) −3145.87 21880.0i −0.517695 3.60065i
\(334\) −188.616 1311.85i −0.0309000 0.214914i
\(335\) −11.5011 + 7.39129i −0.00187573 + 0.00120546i
\(336\) 1613.62 1862.21i 0.261994 0.302357i
\(337\) −264.861 + 579.966i −0.0428128 + 0.0937470i −0.929830 0.367990i \(-0.880046\pi\)
0.887017 + 0.461737i \(0.152773\pi\)
\(338\) −1868.30 1200.68i −0.300656 0.193220i
\(339\) −15598.9 + 4580.24i −2.49915 + 0.733818i
\(340\) −720.967 832.040i −0.115000 0.132717i
\(341\) −1571.35 461.390i −0.249540 0.0732717i
\(342\) 3205.01 + 7017.99i 0.506745 + 1.10962i
\(343\) 974.418 6777.23i 0.153392 1.06687i
\(344\) −1033.36 −0.161962
\(345\) 1854.06 4857.30i 0.289330 0.757995i
\(346\) −6089.90 −0.946229
\(347\) −67.9557 + 472.642i −0.0105131 + 0.0731204i −0.994403 0.105658i \(-0.966305\pi\)
0.983889 + 0.178778i \(0.0572144\pi\)
\(348\) 3895.24 + 8529.38i 0.600019 + 1.31386i
\(349\) −3501.80 1028.22i −0.537097 0.157706i 0.00192405 0.999998i \(-0.499388\pi\)
−0.539021 + 0.842292i \(0.681206\pi\)
\(350\) 534.911 + 617.321i 0.0816920 + 0.0942776i
\(351\) −18136.7 + 5325.43i −2.75803 + 0.809830i
\(352\) −278.963 179.279i −0.0422409 0.0271466i
\(353\) 1625.17 3558.62i 0.245039 0.536562i −0.746650 0.665217i \(-0.768339\pi\)
0.991689 + 0.128656i \(0.0410662\pi\)
\(354\) 8055.22 9296.22i 1.20941 1.39573i
\(355\) 1782.79 1145.73i 0.266537 0.171293i
\(356\) −385.921 2684.14i −0.0574544 0.399604i
\(357\) 1206.47 + 8391.20i 0.178861 + 1.24400i
\(358\) 2232.57 1434.78i 0.329595 0.211818i
\(359\) 3704.67 4275.41i 0.544638 0.628545i −0.414988 0.909827i \(-0.636214\pi\)
0.959625 + 0.281282i \(0.0907596\pi\)
\(360\) −1028.01 + 2251.02i −0.150502 + 0.329553i
\(361\) −2499.36 1606.24i −0.364391 0.234180i
\(362\) 1565.10 459.556i 0.227238 0.0667230i
\(363\) −7553.74 8717.49i −1.09220 1.26047i
\(364\) 3605.87 + 1058.78i 0.519227 + 0.152459i
\(365\) −107.064 234.438i −0.0153534 0.0336192i
\(366\) 1763.90 12268.2i 0.251915 1.75211i
\(367\) 8777.77 1.24849 0.624245 0.781229i \(-0.285407\pi\)
0.624245 + 0.781229i \(0.285407\pi\)
\(368\) −1542.48 857.615i −0.218498 0.121484i
\(369\) 30258.0 4.26874
\(370\) 508.496 3536.66i 0.0714471 0.496925i
\(371\) 1237.41 + 2709.55i 0.173162 + 0.379172i
\(372\) 5717.82 + 1678.90i 0.796923 + 0.233998i
\(373\) 1543.16 + 1780.90i 0.214214 + 0.247216i 0.852680 0.522434i \(-0.174976\pi\)
−0.638466 + 0.769650i \(0.720431\pi\)
\(374\) 1094.66 321.420i 0.151346 0.0444392i
\(375\) −991.300 637.070i −0.136508 0.0877284i
\(376\) 422.022 924.100i 0.0578833 0.126747i
\(377\) −9365.20 + 10808.0i −1.27940 + 1.47650i
\(378\) 9034.25 5805.96i 1.22929 0.790017i
\(379\) 1440.78 + 10020.8i 0.195271 + 1.35814i 0.817782 + 0.575528i \(0.195204\pi\)
−0.622511 + 0.782611i \(0.713887\pi\)
\(380\) 177.478 + 1234.38i 0.0239590 + 0.166638i
\(381\) −2062.88 + 1325.73i −0.277387 + 0.178266i
\(382\) 134.374 155.075i 0.0179978 0.0207705i
\(383\) 4304.62 9425.79i 0.574297 1.25753i −0.370181 0.928959i \(-0.620704\pi\)
0.944478 0.328575i \(-0.106568\pi\)
\(384\) 1015.09 + 652.360i 0.134899 + 0.0866942i
\(385\) −812.166 + 238.473i −0.107511 + 0.0315681i
\(386\) 6054.59 + 6987.37i 0.798369 + 0.921368i
\(387\) −7667.54 2251.39i −1.00714 0.295723i
\(388\) −772.033 1690.52i −0.101016 0.221193i
\(389\) 1785.04 12415.2i 0.232661 1.61819i −0.453855 0.891075i \(-0.649952\pi\)
0.686516 0.727115i \(-0.259139\pi\)
\(390\) −5421.42 −0.703909
\(391\) 5705.15 2078.42i 0.737907 0.268824i
\(392\) 608.913 0.0784560
\(393\) −1426.01 + 9918.12i −0.183035 + 1.27304i
\(394\) −1545.72 3384.66i −0.197646 0.432784i
\(395\) 1992.67 + 585.099i 0.253828 + 0.0745305i
\(396\) −1679.32 1938.03i −0.213103 0.245934i
\(397\) −12642.4 + 3712.15i −1.59825 + 0.469288i −0.955058 0.296418i \(-0.904208\pi\)
−0.643190 + 0.765706i \(0.722390\pi\)
\(398\) 8430.80 + 5418.15i 1.06180 + 0.682380i
\(399\) 3989.12 8734.95i 0.500515 1.09598i
\(400\) −261.944 + 302.300i −0.0327430 + 0.0377875i
\(401\) 940.802 604.617i 0.117161 0.0752946i −0.480748 0.876859i \(-0.659635\pi\)
0.597909 + 0.801564i \(0.295998\pi\)
\(402\) 7.33651 + 51.0266i 0.000910229 + 0.00633078i
\(403\) 1293.47 + 8996.27i 0.159881 + 1.11200i
\(404\) −5141.92 + 3304.51i −0.633219 + 0.406945i
\(405\) −4675.83 + 5396.19i −0.573688 + 0.662071i
\(406\) 3375.19 7390.64i 0.412581 0.903426i
\(407\) 3114.83 + 2001.78i 0.379352 + 0.243795i
\(408\) −3983.24 + 1169.58i −0.483333 + 0.141919i
\(409\) −7661.29 8841.60i −0.926226 1.06892i −0.997443 0.0714612i \(-0.977234\pi\)
0.0712172 0.997461i \(-0.477312\pi\)
\(410\) 4692.76 + 1377.92i 0.565265 + 0.165977i
\(411\) 11302.8 + 24749.7i 1.35651 + 2.97035i
\(412\) 264.113 1836.95i 0.0315823 0.219660i
\(413\) −10658.4 −1.26990
\(414\) −9576.74 9724.15i −1.13689 1.15439i
\(415\) 5981.18 0.707481
\(416\) −261.906 + 1821.59i −0.0308678 + 0.214690i
\(417\) 8218.52 + 17996.0i 0.965138 + 2.11336i
\(418\) −1239.95 364.083i −0.145091 0.0426026i
\(419\) 10981.6 + 12673.4i 1.28040 + 1.47766i 0.799230 + 0.601026i \(0.205241\pi\)
0.481166 + 0.876630i \(0.340213\pi\)
\(420\) 2955.31 867.757i 0.343344 0.100815i
\(421\) −1208.56 776.693i −0.139909 0.0899138i 0.468814 0.883297i \(-0.344681\pi\)
−0.608723 + 0.793383i \(0.708318\pi\)
\(422\) 2367.89 5184.96i 0.273145 0.598104i
\(423\) 5144.76 5937.37i 0.591364 0.682470i
\(424\) −1227.12 + 788.620i −0.140552 + 0.0903272i
\(425\) −195.851 1362.18i −0.0223534 0.155471i
\(426\) −1137.24 7909.66i −0.129341 0.899588i
\(427\) −9034.75 + 5806.28i −1.02394 + 0.658046i
\(428\) −925.027 + 1067.54i −0.104469 + 0.120564i
\(429\) 2333.81 5110.33i 0.262651 0.575126i
\(430\) −1086.65 698.345i −0.121867 0.0783191i
\(431\) −6614.28 + 1942.13i −0.739208 + 0.217051i −0.629595 0.776923i \(-0.716779\pi\)
−0.109613 + 0.993974i \(0.534961\pi\)
\(432\) 3443.83 + 3974.39i 0.383545 + 0.442634i
\(433\) −73.3502 21.5376i −0.00814085 0.00239037i 0.277660 0.960680i \(-0.410441\pi\)
−0.285800 + 0.958289i \(0.592259\pi\)
\(434\) −2145.04 4696.98i −0.237247 0.519499i
\(435\) −1668.06 + 11601.6i −0.183856 + 1.27875i
\(436\) 1461.54 0.160539
\(437\) −6709.35 1513.28i −0.734443 0.165653i
\(438\) −971.829 −0.106018
\(439\) −312.627 + 2174.37i −0.0339883 + 0.236394i −0.999733 0.0230995i \(-0.992647\pi\)
0.965745 + 0.259494i \(0.0835556\pi\)
\(440\) −172.192 377.047i −0.0186566 0.0408523i
\(441\) 4518.15 + 1326.65i 0.487868 + 0.143251i
\(442\) −4146.29 4785.08i −0.446197 0.514939i
\(443\) 2975.59 873.713i 0.319130 0.0937051i −0.118244 0.992985i \(-0.537727\pi\)
0.437375 + 0.899279i \(0.355908\pi\)
\(444\) −11334.2 7284.07i −1.21148 0.778573i
\(445\) 1408.12 3083.36i 0.150003 0.328461i
\(446\) −4719.31 + 5446.38i −0.501045 + 0.578237i
\(447\) −3846.13 + 2471.76i −0.406970 + 0.261544i
\(448\) −148.797 1034.90i −0.0156919 0.109140i
\(449\) 1177.82 + 8191.93i 0.123797 + 0.861027i 0.953192 + 0.302365i \(0.0977761\pi\)
−0.829395 + 0.558662i \(0.811315\pi\)
\(450\) −2602.26 + 1672.37i −0.272603 + 0.175192i
\(451\) −3318.99 + 3830.31i −0.346530 + 0.399917i
\(452\) −2865.66 + 6274.92i −0.298207 + 0.652981i
\(453\) −14743.1 9474.82i −1.52912 0.982706i
\(454\) 1668.56 489.932i 0.172487 0.0506468i
\(455\) 3076.29 + 3550.22i 0.316964 + 0.365796i
\(456\) 4511.94 + 1324.83i 0.463358 + 0.136054i
\(457\) 3431.34 + 7513.60i 0.351229 + 0.769083i 0.999967 + 0.00807230i \(0.00256952\pi\)
−0.648739 + 0.761011i \(0.724703\pi\)
\(458\) −867.242 + 6031.80i −0.0884794 + 0.615388i
\(459\) −18092.9 −1.83988
\(460\) −1042.45 1944.25i −0.105661 0.197068i
\(461\) 18610.0 1.88016 0.940078 0.340958i \(-0.110751\pi\)
0.940078 + 0.340958i \(0.110751\pi\)
\(462\) −454.236 + 3159.28i −0.0457423 + 0.318145i
\(463\) −276.504 605.459i −0.0277543 0.0607734i 0.895247 0.445570i \(-0.146999\pi\)
−0.923001 + 0.384796i \(0.874272\pi\)
\(464\) 3817.55 + 1120.93i 0.381951 + 0.112151i
\(465\) 4878.07 + 5629.59i 0.486484 + 0.561432i
\(466\) 7372.43 2164.74i 0.732878 0.215192i
\(467\) 6770.98 + 4351.45i 0.670929 + 0.431180i 0.831260 0.555883i \(-0.187620\pi\)
−0.160331 + 0.987063i \(0.551256\pi\)
\(468\) −5912.08 + 12945.6i −0.583944 + 1.27866i
\(469\) 29.2518 33.7584i 0.00288001 0.00332371i
\(470\) 1068.29 686.550i 0.104844 0.0673791i
\(471\) 2738.05 + 19043.5i 0.267861 + 1.86301i
\(472\) −742.797 5166.27i −0.0724365 0.503807i
\(473\) 1126.05 723.670i 0.109463 0.0703475i
\(474\) 5128.26 5918.32i 0.496938 0.573497i
\(475\) −647.568 + 1417.98i −0.0625526 + 0.136971i
\(476\) 3026.12 + 1944.77i 0.291391 + 0.187265i
\(477\) −10823.4 + 3178.04i −1.03893 + 0.305057i
\(478\) −7180.47 8286.70i −0.687086 0.792939i
\(479\) −11585.4 3401.78i −1.10512 0.324491i −0.322233 0.946661i \(-0.604433\pi\)
−0.782883 + 0.622169i \(0.786251\pi\)
\(480\) 626.571 + 1372.00i 0.0595811 + 0.130464i
\(481\) 2924.37 20339.4i 0.277214 1.92806i
\(482\) −11980.9 −1.13219
\(483\) −1341.22 + 16934.2i −0.126351 + 1.59531i
\(484\) −4894.46 −0.459660
\(485\) 330.608 2299.43i 0.0309529 0.215282i
\(486\) 3811.51 + 8346.04i 0.355748 + 0.778980i
\(487\) 12882.1 + 3782.52i 1.19865 + 0.351955i 0.819336 0.573313i \(-0.194342\pi\)
0.379313 + 0.925268i \(0.376160\pi\)
\(488\) −3444.02 3974.61i −0.319474 0.368693i
\(489\) 12573.6 3691.95i 1.16278 0.341422i
\(490\) 640.313 + 411.504i 0.0590334 + 0.0379385i
\(491\) 2106.51 4612.61i 0.193616 0.423960i −0.787779 0.615957i \(-0.788769\pi\)
0.981395 + 0.191998i \(0.0614966\pi\)
\(492\) 12077.1 13937.7i 1.10666 1.27716i
\(493\) −11515.6 + 7400.63i −1.05200 + 0.676080i
\(494\) 1020.68 + 7098.97i 0.0929604 + 0.646554i
\(495\) −456.188 3172.86i −0.0414225 0.288100i
\(496\) 2127.20 1367.07i 0.192568 0.123756i
\(497\) −4534.35 + 5232.91i −0.409242 + 0.472290i
\(498\) 9369.09 20515.5i 0.843051 1.84602i
\(499\) 4463.12 + 2868.27i 0.400394 + 0.257318i 0.725306 0.688427i \(-0.241698\pi\)
−0.324912 + 0.945744i \(0.605335\pi\)
\(500\) −479.746 + 140.866i −0.0429098 + 0.0125995i
\(501\) −4090.86 4721.10i −0.364803 0.421005i
\(502\) 3222.17 + 946.114i 0.286479 + 0.0841178i
\(503\) 5134.49 + 11243.0i 0.455141 + 0.996619i 0.988568 + 0.150773i \(0.0481764\pi\)
−0.533428 + 0.845846i \(0.679096\pi\)
\(504\) 1150.68 8003.19i 0.101698 0.707322i
\(505\) −7640.27 −0.673243
\(506\) 2281.44 145.668i 0.200439 0.0127979i
\(507\) −10467.8 −0.916948
\(508\) −148.078 + 1029.90i −0.0129328 + 0.0899498i
\(509\) −7181.77 15725.9i −0.625396 1.36943i −0.911529 0.411236i \(-0.865097\pi\)
0.286133 0.958190i \(-0.407630\pi\)
\(510\) −4979.05 1461.98i −0.432306 0.126936i
\(511\) 551.446 + 636.403i 0.0477388 + 0.0550936i
\(512\) 491.260 144.247i 0.0424040 0.0124509i
\(513\) 17241.0 + 11080.1i 1.48384 + 0.953606i
\(514\) −5887.69 + 12892.2i −0.505243 + 1.10633i
\(515\) 1519.14 1753.18i 0.129983 0.150009i
\(516\) −4097.48 + 2633.29i −0.349576 + 0.224659i
\(517\) 187.277 + 1302.54i 0.0159312 + 0.110804i
\(518\) 1661.42 + 11555.4i 0.140924 + 0.980149i
\(519\) −24147.7 + 15518.8i −2.04232 + 1.31252i
\(520\) −1506.45 + 1738.53i −0.127042 + 0.146615i
\(521\) 8114.43 17768.1i 0.682341 1.49412i −0.177803 0.984066i \(-0.556899\pi\)
0.860144 0.510052i \(-0.170374\pi\)
\(522\) 25884.1 + 16634.7i 2.17034 + 1.39479i
\(523\) 9608.78 2821.39i 0.803370 0.235891i 0.145829 0.989310i \(-0.453415\pi\)
0.657541 + 0.753419i \(0.271597\pi\)
\(524\) 2784.28 + 3213.23i 0.232122 + 0.267883i
\(525\) 3694.14 + 1084.70i 0.307096 + 0.0901715i
\(526\) 6844.06 + 14986.4i 0.567329 + 1.24228i
\(527\) −1238.08 + 8611.00i −0.102337 + 0.711767i
\(528\) −1563.00 −0.128827
\(529\) 12068.2 1547.40i 0.991880 0.127180i
\(530\) −1823.34 −0.149436
\(531\) 5744.25 39952.2i 0.469453 3.26511i
\(532\) −1692.66 3706.40i −0.137943 0.302054i
\(533\) 26988.1 + 7924.43i 2.19322 + 0.643987i
\(534\) −8370.19 9659.72i −0.678303 0.782803i
\(535\) −1694.17 + 497.454i −0.136907 + 0.0401996i
\(536\) 18.4017 + 11.8261i 0.00148290 + 0.000953000i
\(537\) 5196.35 11378.4i 0.417577 0.914367i
\(538\) 5742.14 6626.78i 0.460151 0.531042i
\(539\) −663.533 + 426.427i −0.0530248 + 0.0340770i
\(540\) 935.519 + 6506.68i 0.0745525 + 0.518524i
\(541\) 2624.52 + 18253.9i 0.208571 + 1.45064i 0.777825 + 0.628480i \(0.216323\pi\)
−0.569255 + 0.822161i \(0.692768\pi\)
\(542\) −14265.8 + 9168.07i −1.13057 + 0.726572i
\(543\) 5034.87 5810.56i 0.397914 0.459217i
\(544\) −731.760 + 1602.33i −0.0576727 + 0.126286i
\(545\) 1536.91 + 987.710i 0.120796 + 0.0776309i
\(546\) 16996.0 4990.49i 1.33217 0.391160i
\(547\) −6175.22 7126.58i −0.482693 0.557058i 0.461205 0.887294i \(-0.347417\pi\)
−0.943899 + 0.330236i \(0.892872\pi\)
\(548\) 11077.4 + 3252.62i 0.863510 + 0.253549i
\(549\) −16895.2 36995.2i −1.31342 2.87599i
\(550\) 73.7378 512.858i 0.00571671 0.0397606i
\(551\) 15505.5 1.19883
\(552\) −8301.69 + 530.058i −0.640115 + 0.0408710i
\(553\) −6785.55 −0.521792
\(554\) −1049.89 + 7302.17i −0.0805157 + 0.559999i
\(555\) −6996.12 15319.4i −0.535079 1.17166i
\(556\) 8054.62 + 2365.05i 0.614374 + 0.180396i
\(557\) 10124.1 + 11683.8i 0.770147 + 0.888797i 0.996357 0.0852812i \(-0.0271789\pi\)
−0.226210 + 0.974079i \(0.572633\pi\)
\(558\) 18762.3 5509.10i 1.42342 0.417955i
\(559\) −6249.32 4016.20i −0.472841 0.303877i
\(560\) 542.919 1188.83i 0.0409688 0.0897091i
\(561\) 3521.47 4063.99i 0.265020 0.305850i
\(562\) −1867.76 + 1200.34i −0.140190 + 0.0900946i
\(563\) −958.155 6664.11i −0.0717254 0.498861i −0.993741 0.111709i \(-0.964368\pi\)
0.922016 0.387153i \(-0.126541\pi\)
\(564\) −681.462 4739.67i −0.0508772 0.353858i
\(565\) −7254.03 + 4661.88i −0.540141 + 0.347127i
\(566\) −10398.6 + 12000.7i −0.772238 + 0.891211i
\(567\) 9691.35 21221.1i 0.717810 1.57179i
\(568\) −2852.46 1833.17i −0.210716 0.135419i
\(569\) −16844.8 + 4946.08i −1.24107 + 0.364412i −0.835418 0.549615i \(-0.814775\pi\)
−0.405655 + 0.914026i \(0.632956\pi\)
\(570\) 3849.29 + 4442.32i 0.282858 + 0.326435i
\(571\) 15207.0 + 4465.18i 1.11453 + 0.327254i 0.786608 0.617452i \(-0.211835\pi\)
0.327917 + 0.944707i \(0.393653\pi\)
\(572\) −990.278 2168.41i −0.0723874 0.158506i
\(573\) 137.643 957.326i 0.0100351 0.0697956i
\(574\) −15980.1 −1.16201
\(575\) 217.725 2748.99i 0.0157909 0.199376i
\(576\) 3959.44 0.286417
\(577\) −631.448 + 4391.82i −0.0455590 + 0.316870i 0.954280 + 0.298915i \(0.0966246\pi\)
−0.999839 + 0.0179549i \(0.994284\pi\)
\(578\) 1564.28 + 3425.29i 0.112570 + 0.246494i
\(579\) 41813.4 + 12277.5i 3.00122 + 0.881238i
\(580\) 3256.88 + 3758.64i 0.233163 + 0.269085i
\(581\) −18750.9 + 5505.76i −1.33893 + 0.393145i
\(582\) −7369.17 4735.88i −0.524849 0.337300i
\(583\) 784.912 1718.72i 0.0557594 0.122096i
\(584\) −270.041 + 311.644i −0.0191342 + 0.0220821i
\(585\) −14965.6 + 9617.83i −1.05770 + 0.679741i
\(586\) −1581.32 10998.3i −0.111474 0.775319i
\(587\) 467.244 + 3249.75i 0.0328539 + 0.228504i 0.999632 0.0271118i \(-0.00863102\pi\)
−0.966779 + 0.255615i \(0.917722\pi\)
\(588\) 2414.46 1551.68i 0.169338 0.108827i
\(589\) 6453.17 7447.35i 0.451440 0.520990i
\(590\) 2710.27 5934.66i 0.189119 0.414112i
\(591\) −14754.2 9481.93i −1.02691 0.659957i
\(592\) −5485.28 + 1610.62i −0.380817 + 0.111818i
\(593\) 3299.21 + 3807.49i 0.228469 + 0.263668i 0.858397 0.512986i \(-0.171461\pi\)
−0.629928 + 0.776654i \(0.716915\pi\)
\(594\) −6536.04 1919.15i −0.451476 0.132565i
\(595\) 1867.89 + 4090.11i 0.128699 + 0.281812i
\(596\) −276.082 + 1920.20i −0.0189745 + 0.131970i
\(597\) 47236.8 3.23831
\(598\) −5995.12 11181.4i −0.409965 0.764619i
\(599\) −9616.18 −0.655938 −0.327969 0.944689i \(-0.606364\pi\)
−0.327969 + 0.944689i \(0.606364\pi\)
\(600\) −268.317 + 1866.19i −0.0182567 + 0.126978i
\(601\) 3350.57 + 7336.72i 0.227408 + 0.497955i 0.988599 0.150573i \(-0.0481120\pi\)
−0.761190 + 0.648529i \(0.775385\pi\)
\(602\) 4049.45 + 1189.03i 0.274158 + 0.0805001i
\(603\) 110.775 + 127.842i 0.00748114 + 0.00863369i
\(604\) −7135.03 + 2095.03i −0.480663 + 0.141135i
\(605\) −5146.86 3307.68i −0.345867 0.222275i
\(606\) −11967.9 + 26206.1i −0.802251 + 1.75668i
\(607\) 3132.18 3614.73i 0.209442 0.241709i −0.641303 0.767288i \(-0.721606\pi\)
0.850745 + 0.525579i \(0.176151\pi\)
\(608\) 1678.57 1078.75i 0.111966 0.0719560i
\(609\) −5450.10 37906.3i −0.362642 2.52223i
\(610\) −935.571 6507.04i −0.0620986 0.431906i
\(611\) 6143.77 3948.36i 0.406793 0.261430i
\(612\) −8920.69 + 10295.0i −0.589212 + 0.679987i
\(613\) 2240.14 4905.22i 0.147599 0.323197i −0.821363 0.570406i \(-0.806786\pi\)
0.968962 + 0.247209i \(0.0795133\pi\)
\(614\) −1761.75 1132.21i −0.115795 0.0744172i
\(615\) 22119.0 6494.74i 1.45029 0.425842i
\(616\) 886.894 + 1023.53i 0.0580097 + 0.0669468i
\(617\) −15308.8 4495.06i −0.998878 0.293297i −0.258883 0.965909i \(-0.583354\pi\)
−0.739996 + 0.672612i \(0.765172\pi\)
\(618\) −3633.79 7956.90i −0.236525 0.517918i
\(619\) −1701.03 + 11830.9i −0.110453 + 0.768215i 0.857028 + 0.515270i \(0.172308\pi\)
−0.967481 + 0.252945i \(0.918601\pi\)
\(620\) 3160.75 0.204740
\(621\) −35366.3 7976.81i −2.28535 0.515456i
\(622\) −9486.52 −0.611535
\(623\) −1576.16 + 10962.5i −0.101361 + 0.704978i
\(624\) 3603.42 + 7890.40i 0.231174 + 0.506200i
\(625\) −599.683 176.083i −0.0383797 0.0112693i
\(626\) −5965.98 6885.11i −0.380908 0.439592i
\(627\) −5844.45 + 1716.09i −0.372257 + 0.109304i
\(628\) 6867.67 + 4413.58i 0.436385 + 0.280448i
\(629\) 8170.63 17891.2i 0.517940 1.13413i
\(630\) 6618.58 7638.25i 0.418557 0.483040i
\(631\) 1070.25 687.807i 0.0675213 0.0433933i −0.506445 0.862272i \(-0.669041\pi\)
0.573966 + 0.818879i \(0.305404\pi\)
\(632\) −472.893 3289.04i −0.0297637 0.207011i
\(633\) −3823.56 26593.5i −0.240084 1.66982i
\(634\) −2226.72 + 1431.02i −0.139486 + 0.0896423i
\(635\) −851.722 + 982.940i −0.0532277 + 0.0614280i
\(636\) −2856.14 + 6254.07i −0.178071 + 0.389921i
\(637\) 3682.45 + 2366.57i 0.229049 + 0.147201i
\(638\) −4944.99 + 1451.98i −0.306856 + 0.0901010i
\(639\) −17171.4 19816.8i −1.06305 1.22683i
\(640\) 614.076 + 180.309i 0.0379273 + 0.0111365i
\(641\) −7451.69 16316.9i −0.459164 1.00543i −0.987677 0.156504i \(-0.949978\pi\)
0.528513 0.848925i \(-0.322750\pi\)
\(642\) −947.532 + 6590.23i −0.0582494 + 0.405134i
\(643\) 22181.8 1.36044 0.680221 0.733008i \(-0.261884\pi\)
0.680221 + 0.733008i \(0.261884\pi\)
\(644\) 5057.75 + 5135.60i 0.309477 + 0.314241i
\(645\) −6088.35 −0.371672
\(646\) −976.967 + 6794.96i −0.0595020 + 0.413845i
\(647\) −4782.74 10472.7i −0.290617 0.636362i 0.706860 0.707353i \(-0.250111\pi\)
−0.997477 + 0.0709913i \(0.977384\pi\)
\(648\) 10961.5 + 3218.60i 0.664521 + 0.195121i
\(649\) 4427.41 + 5109.50i 0.267783 + 0.309037i
\(650\) −2759.03 + 810.125i −0.166489 + 0.0488857i
\(651\) −20474.7 13158.3i −1.23267 0.792189i
\(652\) 2309.89 5057.96i 0.138746 0.303812i
\(653\) −4085.45 + 4714.86i −0.244833 + 0.282552i −0.864844 0.502041i \(-0.832583\pi\)
0.620011 + 0.784593i \(0.287128\pi\)
\(654\) 5795.30 3724.41i 0.346505 0.222685i
\(655\) 756.353 + 5260.55i 0.0451193 + 0.313812i
\(656\) −1113.67 7745.74i −0.0662828 0.461007i
\(657\) −2682.70 + 1724.06i −0.159303 + 0.102378i
\(658\) −2717.10 + 3135.69i −0.160978 + 0.185778i
\(659\) −10178.1 + 22286.9i −0.601642 + 1.31741i 0.326504 + 0.945196i \(0.394129\pi\)
−0.928146 + 0.372216i \(0.878598\pi\)
\(660\) −1643.60 1056.28i −0.0969347 0.0622962i
\(661\) 15663.0 4599.07i 0.921663 0.270625i 0.213721 0.976895i \(-0.431442\pi\)
0.707943 + 0.706270i \(0.249624\pi\)
\(662\) 6178.28 + 7130.11i 0.362727 + 0.418610i
\(663\) −28634.6 8407.88i −1.67734 0.492511i
\(664\) −3975.48 8705.08i −0.232347 0.508769i
\(665\) 724.847 5041.42i 0.0422682 0.293982i
\(666\) −44210.0 −2.57222
\(667\) −25772.3 + 9389.02i −1.49612 + 0.545044i
\(668\) −2650.68 −0.153530
\(669\) −4834.13 + 33622.1i −0.279370 + 1.94306i
\(670\) 11.3586 + 24.8718i 0.000654955 + 0.00143415i
\(671\) 6536.40 + 1919.26i 0.376058 + 0.110421i
\(672\) −3227.23 3724.42i −0.185258 0.213799i
\(673\) −7735.53 + 2271.36i −0.443065 + 0.130096i −0.495653 0.868521i \(-0.665071\pi\)
0.0525880 + 0.998616i \(0.483253\pi\)
\(674\) 1072.74 + 689.406i 0.0613061 + 0.0393990i
\(675\) −3413.46 + 7474.43i −0.194643 + 0.426209i
\(676\) −2908.69 + 3356.81i −0.165492 + 0.190988i
\(677\) −16275.3 + 10459.5i −0.923944 + 0.593783i −0.913799 0.406166i \(-0.866866\pi\)
−0.0101448 + 0.999949i \(0.503229\pi\)
\(678\) 4627.34 + 32183.8i 0.262112 + 1.82303i
\(679\) 1080.21 + 7513.00i 0.0610523 + 0.424628i
\(680\) −1852.35 + 1190.43i −0.104462 + 0.0671339i
\(681\) 5367.67 6194.62i 0.302041 0.348573i
\(682\) −1360.64 + 2979.38i −0.0763953 + 0.167282i
\(683\) −12077.7 7761.87i −0.676634 0.434846i 0.156678 0.987650i \(-0.449922\pi\)
−0.833312 + 0.552804i \(0.813558\pi\)
\(684\) 14805.3 4347.24i 0.827627 0.243013i
\(685\) 9450.51 + 10906.5i 0.527132 + 0.608343i
\(686\) −13139.1 3858.00i −0.731275 0.214722i
\(687\) 11931.9 + 26127.3i 0.662637 + 1.45097i
\(688\) −294.125 + 2045.68i −0.0162985 + 0.113359i
\(689\) −10486.1 −0.579809
\(690\) −9088.00 5052.90i −0.501412 0.278783i
\(691\) 19603.9 1.07926 0.539629 0.841903i \(-0.318565\pi\)
0.539629 + 0.841903i \(0.318565\pi\)
\(692\) −1733.37 + 12055.8i −0.0952207 + 0.662275i
\(693\) 4350.79 + 9526.91i 0.238489 + 0.522218i
\(694\) 916.321 + 269.056i 0.0501197 + 0.0147165i
\(695\) 6871.67 + 7930.33i 0.375046 + 0.432827i
\(696\) 17993.8 5283.46i 0.979962 0.287743i
\(697\) 22649.0 + 14555.6i 1.23084 + 0.791011i
\(698\) −3032.22 + 6639.65i −0.164429 + 0.360049i
\(699\) 23716.8 27370.6i 1.28334 1.48105i
\(700\) 1374.33 883.226i 0.0742066 0.0476897i
\(701\) 3821.58 + 26579.7i 0.205905 + 1.43210i 0.786341 + 0.617793i \(0.211973\pi\)
−0.580436 + 0.814306i \(0.697118\pi\)
\(702\) 5380.19 + 37420.0i 0.289262 + 2.01186i
\(703\) −18742.5 + 12045.1i −1.00553 + 0.646214i
\(704\) −434.309 + 501.220i −0.0232509 + 0.0268330i
\(705\) 2486.47 5444.61i 0.132831 0.290860i
\(706\) −6582.23 4230.14i −0.350886 0.225501i
\(707\) 23952.1 7032.97i 1.27413 0.374119i
\(708\) −16110.4 18592.4i −0.855180 0.986930i
\(709\) −29105.2 8546.06i −1.54171 0.452686i −0.603097 0.797668i \(-0.706067\pi\)
−0.938609 + 0.344983i \(0.887885\pi\)
\(710\) −1760.70 3855.39i −0.0930674 0.203789i
\(711\) 3657.01 25435.1i 0.192895 1.34162i
\(712\) −5423.48 −0.285468
\(713\) −6216.49 + 16286.1i −0.326521 + 0.855427i
\(714\) 16955.0 0.888689
\(715\) 424.068 2949.46i 0.0221807 0.154270i
\(716\) −2204.91 4828.07i −0.115085 0.252002i
\(717\) −49588.8 14560.6i −2.58289 0.758404i
\(718\) −7409.34 8550.83i −0.385117 0.444449i
\(719\) 8220.80 2413.85i 0.426404 0.125203i −0.0614875 0.998108i \(-0.519584\pi\)
0.487891 + 0.872904i \(0.337766\pi\)
\(720\) 4163.61 + 2675.79i 0.215512 + 0.138501i
\(721\) −3148.65 + 6894.59i −0.162638 + 0.356127i
\(722\) −3891.17 + 4490.65i −0.200574 + 0.231475i
\(723\) −47506.6 + 30530.6i −2.44369 + 1.57047i
\(724\) −464.282 3229.15i −0.0238327 0.165760i
\(725\) 884.735 + 6153.47i 0.0453217 + 0.315220i
\(726\) −19407.5 + 12472.5i −0.992122 + 0.637598i
\(727\) −15697.0 + 18115.3i −0.800782 + 0.924152i −0.998424 0.0561226i \(-0.982126\pi\)
0.197642 + 0.980274i \(0.436672\pi\)
\(728\) 3122.34 6836.97i 0.158958 0.348070i
\(729\) 3945.25 + 2535.46i 0.200440 + 0.128815i
\(730\) −494.576 + 145.221i −0.0250755 + 0.00736282i
\(731\) −4656.36 5373.73i −0.235597 0.271894i
\(732\) −23784.6 6983.80i −1.20096 0.352635i
\(733\) −14710.7 32212.0i −0.741273 1.62316i −0.781449 0.623969i \(-0.785519\pi\)
0.0401762 0.999193i \(-0.487208\pi\)
\(734\) 2498.41 17376.9i 0.125638 0.873830i
\(735\) 3587.60 0.180041
\(736\) −2136.81 + 2809.46i −0.107016 + 0.140704i
\(737\) −28.3342 −0.00141615
\(738\) 8612.31 59899.9i 0.429571 2.98773i
\(739\) −1119.11 2450.51i −0.0557065 0.121980i 0.879732 0.475470i \(-0.157722\pi\)
−0.935438 + 0.353490i \(0.884995\pi\)
\(740\) −6856.60 2013.28i −0.340613 0.100013i
\(741\) 22137.3 + 25547.9i 1.09748 + 1.26656i
\(742\) 5716.15 1678.41i 0.282812 0.0830410i
\(743\) 3944.43 + 2534.93i 0.194760 + 0.125165i 0.634387 0.773016i \(-0.281253\pi\)
−0.439626 + 0.898181i \(0.644889\pi\)
\(744\) 4951.09 10841.4i 0.243973 0.534226i
\(745\) −1587.99 + 1832.64i −0.0780932 + 0.0901243i
\(746\) 3964.78 2548.01i 0.194586 0.125053i
\(747\) −10532.2 73253.3i −0.515869 3.58795i
\(748\) −324.726 2258.52i −0.0158732 0.110400i
\(749\) 4853.28 3119.01i 0.236762 0.152158i
\(750\) −1543.32 + 1781.09i −0.0751390 + 0.0867150i
\(751\) −5251.06 + 11498.2i −0.255145 + 0.558690i −0.993250 0.115997i \(-0.962994\pi\)
0.738105 + 0.674686i \(0.235721\pi\)
\(752\) −1709.27 1098.48i −0.0828864 0.0532678i
\(753\) 15187.5 4459.45i 0.735011 0.215819i
\(754\) 18730.4 + 21616.0i 0.904670 + 1.04404i
\(755\) −8918.79 2618.79i −0.429918 0.126235i
\(756\) −8922.31 19537.1i −0.429235 0.939893i
\(757\) 2549.04 17729.0i 0.122386 0.851216i −0.832453 0.554095i \(-0.813064\pi\)
0.954840 0.297121i \(-0.0960266\pi\)
\(758\) 20247.7 0.970225
\(759\) 8675.15 6391.34i 0.414872 0.305654i
\(760\) 2494.16 0.119043
\(761\) 3566.06 24802.5i 0.169868 1.18146i −0.709285 0.704921i \(-0.750982\pi\)
0.879154 0.476538i \(-0.158109\pi\)
\(762\) 2037.32 + 4461.11i 0.0968561 + 0.212085i
\(763\) −5727.37 1681.71i −0.271749 0.0797928i
\(764\) −268.747 310.151i −0.0127263 0.0146870i
\(765\) −16338.1 + 4797.30i −0.772163 + 0.226728i
\(766\) −17434.5 11204.5i −0.822368 0.528504i
\(767\) 15586.8 34130.3i 0.733777 1.60675i
\(768\) 1580.36 1823.84i 0.0742532 0.0856928i
\(769\) −9254.99 + 5947.82i −0.433996 + 0.278913i −0.739343 0.673329i \(-0.764864\pi\)
0.305347 + 0.952241i \(0.401228\pi\)
\(770\) 240.926 + 1675.68i 0.0112758 + 0.0784249i
\(771\) 9507.17 + 66123.8i 0.444088 +