Properties

Label 147.4.o.a.101.21
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.21
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.21

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.56048 - 0.612445i) q^{2} +(-4.21730 + 3.03552i) q^{3} +(-3.80440 - 3.52996i) q^{4} +(5.95462 + 4.05979i) q^{5} +(8.44011 - 2.15402i) q^{6} +(8.80926 + 16.2910i) q^{7} +(9.59357 + 19.9212i) q^{8} +(8.57124 - 25.6034i) q^{9} +O(q^{10})\) \(q+(-1.56048 - 0.612445i) q^{2} +(-4.21730 + 3.03552i) q^{3} +(-3.80440 - 3.52996i) q^{4} +(5.95462 + 4.05979i) q^{5} +(8.44011 - 2.15402i) q^{6} +(8.80926 + 16.2910i) q^{7} +(9.59357 + 19.9212i) q^{8} +(8.57124 - 25.6034i) q^{9} +(-6.80569 - 9.98211i) q^{10} +(-3.97701 - 26.3857i) q^{11} +(26.7595 + 3.33859i) q^{12} +(-18.0363 + 14.3835i) q^{13} +(-3.76936 - 30.8170i) q^{14} +(-37.4360 + 0.954011i) q^{15} +(0.332735 + 4.44004i) q^{16} +(-23.7012 - 7.31084i) q^{17} +(-29.0559 + 34.7043i) q^{18} +(-113.090 + 65.2923i) q^{19} +(-8.32281 - 36.4646i) q^{20} +(-86.6030 - 41.9634i) q^{21} +(-9.95374 + 43.6102i) q^{22} +(-41.5785 - 134.794i) q^{23} +(-100.930 - 54.8924i) q^{24} +(-26.6920 - 68.0102i) q^{25} +(36.9545 - 11.3990i) q^{26} +(41.5721 + 133.995i) q^{27} +(23.9927 - 93.0738i) q^{28} +(-28.6184 + 6.53196i) q^{29} +(59.0025 + 21.4387i) q^{30} +(-234.740 - 135.527i) q^{31} +(54.3385 - 176.161i) q^{32} +(96.8667 + 99.2043i) q^{33} +(32.5078 + 25.9241i) q^{34} +(-13.6823 + 132.770i) q^{35} +(-122.987 + 67.1493i) q^{36} +(-43.1123 + 40.0023i) q^{37} +(216.462 - 32.6265i) q^{38} +(32.4032 - 115.409i) q^{39} +(-23.7500 + 157.571i) q^{40} +(6.52251 - 3.14108i) q^{41} +(109.442 + 118.523i) q^{42} +(-89.1389 - 42.9270i) q^{43} +(-78.0105 + 114.420i) q^{44} +(154.983 - 117.661i) q^{45} +(-17.6714 + 235.809i) q^{46} +(-141.207 + 359.791i) q^{47} +(-14.8811 - 17.7150i) q^{48} +(-187.794 + 287.023i) q^{49} +122.476i q^{50} +(122.147 - 41.1134i) q^{51} +(119.391 + 8.94709i) q^{52} +(485.405 - 523.142i) q^{53} +(17.1921 - 234.558i) q^{54} +(83.4390 - 173.263i) q^{55} +(-240.025 + 331.780i) q^{56} +(278.737 - 618.643i) q^{57} +(48.6590 + 7.33416i) q^{58} +(178.356 - 121.601i) q^{59} +(145.789 + 128.518i) q^{60} +(-133.819 - 144.223i) q^{61} +(283.305 + 355.253i) q^{62} +(492.611 - 85.9129i) q^{63} +(-170.475 + 213.768i) q^{64} +(-165.793 + 12.4245i) q^{65} +(-90.4017 - 214.132i) q^{66} +(-111.534 + 193.183i) q^{67} +(64.3616 + 111.478i) q^{68} +(584.519 + 442.255i) q^{69} +(102.666 - 198.806i) q^{70} +(-909.608 - 207.612i) q^{71} +(592.280 - 74.8782i) q^{72} +(-344.268 + 135.115i) q^{73} +(91.7752 - 36.0191i) q^{74} +(319.015 + 205.795i) q^{75} +(660.717 + 150.804i) q^{76} +(394.816 - 297.228i) q^{77} +(-121.246 + 160.249i) q^{78} +(18.5108 + 32.0616i) q^{79} +(-16.0443 + 27.7896i) q^{80} +(-582.068 - 438.906i) q^{81} +(-12.1020 + 0.906920i) q^{82} +(49.7705 - 62.4103i) q^{83} +(181.343 + 465.351i) q^{84} +(-111.451 - 139.755i) q^{85} +(112.809 + 121.579i) q^{86} +(100.864 - 114.419i) q^{87} +(487.483 - 332.360i) q^{88} +(418.779 + 63.1208i) q^{89} +(-313.909 + 88.6897i) q^{90} +(-393.208 - 167.122i) q^{91} +(-317.637 + 659.581i) q^{92} +(1401.37 - 140.999i) q^{93} +(440.704 - 474.966i) q^{94} +(-938.479 - 70.3293i) q^{95} +(305.579 + 907.870i) q^{96} -1802.66i q^{97} +(468.835 - 332.882i) q^{98} +(-709.652 - 124.333i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} + O(q^{10}) \) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} - 58q^{10} - 207q^{12} - 28q^{13} - 148q^{15} + 726q^{16} - 81q^{18} - 342q^{19} - 371q^{21} - 156q^{22} - 428q^{24} + 1250q^{25} - 56q^{27} + 700q^{28} + 389q^{30} + 888q^{31} + 841q^{33} - 532q^{34} - 38q^{36} + 1178q^{37} - 180q^{39} + 194q^{40} + 56q^{42} + 1296q^{43} - 617q^{45} - 6756q^{46} - 2380q^{49} + 787q^{51} - 5204q^{52} + 4144q^{54} - 5698q^{55} + 863q^{57} - 3066q^{58} + 2820q^{60} + 1492q^{61} - 1085q^{63} + 7648q^{64} + 2568q^{66} + 142q^{67} - 5474q^{69} + 5180q^{70} + 1278q^{72} + 2876q^{73} - 1754q^{75} + 7644q^{76} + 936q^{78} - 992q^{79} + 911q^{81} + 1022q^{82} + 7868q^{84} + 2672q^{85} - 196q^{87} + 370q^{88} - 18767q^{90} - 2254q^{91} - 11096q^{93} - 3628q^{94} - 24248q^{96} + 10982q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.56048 0.612445i −0.551714 0.216532i 0.0730735 0.997327i \(-0.476719\pi\)
−0.624788 + 0.780795i \(0.714814\pi\)
\(3\) −4.21730 + 3.03552i −0.811620 + 0.584186i
\(4\) −3.80440 3.52996i −0.475549 0.441245i
\(5\) 5.95462 + 4.05979i 0.532597 + 0.363119i 0.799558 0.600589i \(-0.205067\pi\)
−0.266961 + 0.963707i \(0.586019\pi\)
\(6\) 8.44011 2.15402i 0.574277 0.146562i
\(7\) 8.80926 + 16.2910i 0.475655 + 0.879632i
\(8\) 9.59357 + 19.9212i 0.423980 + 0.880403i
\(9\) 8.57124 25.6034i 0.317453 0.948274i
\(10\) −6.80569 9.98211i −0.215215 0.315662i
\(11\) −3.97701 26.3857i −0.109010 0.723236i −0.974841 0.222900i \(-0.928448\pi\)
0.865831 0.500336i \(-0.166790\pi\)
\(12\) 26.7595 + 3.33859i 0.643735 + 0.0803141i
\(13\) −18.0363 + 14.3835i −0.384798 + 0.306867i −0.796715 0.604355i \(-0.793431\pi\)
0.411917 + 0.911221i \(0.364859\pi\)
\(14\) −3.76936 30.8170i −0.0719575 0.588300i
\(15\) −37.4360 + 0.954011i −0.644395 + 0.0164216i
\(16\) 0.332735 + 4.44004i 0.00519898 + 0.0693756i
\(17\) −23.7012 7.31084i −0.338140 0.104302i 0.121035 0.992648i \(-0.461379\pi\)
−0.459175 + 0.888346i \(0.651855\pi\)
\(18\) −29.0559 + 34.7043i −0.380475 + 0.454437i
\(19\) −113.090 + 65.2923i −1.36550 + 0.788373i −0.990350 0.138590i \(-0.955743\pi\)
−0.375153 + 0.926963i \(0.622410\pi\)
\(20\) −8.32281 36.4646i −0.0930519 0.407687i
\(21\) −86.6030 41.9634i −0.899920 0.436055i
\(22\) −9.95374 + 43.6102i −0.0964611 + 0.422624i
\(23\) −41.5785 134.794i −0.376944 1.22202i −0.923172 0.384386i \(-0.874413\pi\)
0.546228 0.837636i \(-0.316063\pi\)
\(24\) −100.930 54.8924i −0.858429 0.466869i
\(25\) −26.6920 68.0102i −0.213536 0.544082i
\(26\) 36.9545 11.3990i 0.278745 0.0859815i
\(27\) 41.5721 + 133.995i 0.296317 + 0.955090i
\(28\) 23.9927 93.0738i 0.161936 0.628189i
\(29\) −28.6184 + 6.53196i −0.183252 + 0.0418260i −0.313162 0.949700i \(-0.601388\pi\)
0.129910 + 0.991526i \(0.458531\pi\)
\(30\) 59.0025 + 21.4387i 0.359078 + 0.130472i
\(31\) −234.740 135.527i −1.36002 0.785207i −0.370393 0.928875i \(-0.620777\pi\)
−0.989626 + 0.143668i \(0.954110\pi\)
\(32\) 54.3385 176.161i 0.300181 0.973162i
\(33\) 96.8667 + 99.2043i 0.510979 + 0.523310i
\(34\) 32.5078 + 25.9241i 0.163972 + 0.130763i
\(35\) −13.6823 + 132.770i −0.0660780 + 0.641209i
\(36\) −122.987 + 67.1493i −0.569386 + 0.310876i
\(37\) −43.1123 + 40.0023i −0.191557 + 0.177739i −0.770121 0.637898i \(-0.779804\pi\)
0.578563 + 0.815637i \(0.303614\pi\)
\(38\) 216.462 32.6265i 0.924075 0.139282i
\(39\) 32.4032 115.409i 0.133043 0.473853i
\(40\) −23.7500 + 157.571i −0.0938803 + 0.622855i
\(41\) 6.52251 3.14108i 0.0248450 0.0119647i −0.421420 0.906866i \(-0.638468\pi\)
0.446265 + 0.894901i \(0.352754\pi\)
\(42\) 109.442 + 118.523i 0.402079 + 0.435439i
\(43\) −89.1389 42.9270i −0.316129 0.152240i 0.269090 0.963115i \(-0.413277\pi\)
−0.585219 + 0.810875i \(0.698991\pi\)
\(44\) −78.0105 + 114.420i −0.267285 + 0.392035i
\(45\) 154.983 117.661i 0.513411 0.389775i
\(46\) −17.6714 + 235.809i −0.0566414 + 0.755828i
\(47\) −141.207 + 359.791i −0.438239 + 1.11661i 0.525742 + 0.850644i \(0.323788\pi\)
−0.963981 + 0.265970i \(0.914308\pi\)
\(48\) −14.8811 17.7150i −0.0447479 0.0532694i
\(49\) −187.794 + 287.023i −0.547504 + 0.836803i
\(50\) 122.476i 0.346415i
\(51\) 122.147 41.1134i 0.335373 0.112883i
\(52\) 119.391 + 8.94709i 0.318394 + 0.0238603i
\(53\) 485.405 523.142i 1.25803 1.35583i 0.350098 0.936713i \(-0.386148\pi\)
0.907931 0.419119i \(-0.137661\pi\)
\(54\) 17.1921 234.558i 0.0433249 0.591099i
\(55\) 83.4390 173.263i 0.204562 0.424777i
\(56\) −240.025 + 331.780i −0.572762 + 0.791714i
\(57\) 278.737 618.643i 0.647712 1.43757i
\(58\) 48.6590 + 7.33416i 0.110159 + 0.0166038i
\(59\) 178.356 121.601i 0.393560 0.268325i −0.350331 0.936626i \(-0.613931\pi\)
0.743890 + 0.668302i \(0.232978\pi\)
\(60\) 145.789 + 128.518i 0.313688 + 0.276527i
\(61\) −133.819 144.223i −0.280882 0.302719i 0.576815 0.816875i \(-0.304296\pi\)
−0.857696 + 0.514157i \(0.828105\pi\)
\(62\) 283.305 + 355.253i 0.580319 + 0.727697i
\(63\) 492.611 85.9129i 0.985130 0.171810i
\(64\) −170.475 + 213.768i −0.332958 + 0.417516i
\(65\) −165.793 + 12.4245i −0.316372 + 0.0237088i
\(66\) −90.4017 214.132i −0.168601 0.399361i
\(67\) −111.534 + 193.183i −0.203374 + 0.352255i −0.949614 0.313423i \(-0.898524\pi\)
0.746239 + 0.665678i \(0.231858\pi\)
\(68\) 64.3616 + 111.478i 0.114779 + 0.198804i
\(69\) 584.519 + 442.255i 1.01982 + 0.771612i
\(70\) 102.666 198.806i 0.175298 0.339456i
\(71\) −909.608 207.612i −1.52043 0.347029i −0.620902 0.783888i \(-0.713234\pi\)
−0.899530 + 0.436860i \(0.856091\pi\)
\(72\) 592.280 74.8782i 0.969457 0.122562i
\(73\) −344.268 + 135.115i −0.551965 + 0.216630i −0.624898 0.780706i \(-0.714859\pi\)
0.0729326 + 0.997337i \(0.476764\pi\)
\(74\) 91.7752 36.0191i 0.144171 0.0565829i
\(75\) 319.015 + 205.795i 0.491155 + 0.316842i
\(76\) 660.717 + 150.804i 0.997230 + 0.227611i
\(77\) 394.816 297.228i 0.584330 0.439900i
\(78\) −121.246 + 160.249i −0.176006 + 0.232623i
\(79\) 18.5108 + 32.0616i 0.0263624 + 0.0456610i 0.878906 0.476996i \(-0.158274\pi\)
−0.852543 + 0.522657i \(0.824941\pi\)
\(80\) −16.0443 + 27.7896i −0.0224226 + 0.0388371i
\(81\) −582.068 438.906i −0.798447 0.602065i
\(82\) −12.1020 + 0.906920i −0.0162981 + 0.00122137i
\(83\) 49.7705 62.4103i 0.0658196 0.0825351i −0.747832 0.663888i \(-0.768905\pi\)
0.813651 + 0.581353i \(0.197476\pi\)
\(84\) 181.343 + 465.351i 0.235549 + 0.604451i
\(85\) −111.451 139.755i −0.142218 0.178336i
\(86\) 112.809 + 121.579i 0.141448 + 0.152445i
\(87\) 100.864 114.419i 0.124297 0.141000i
\(88\) 487.483 332.360i 0.590521 0.402610i
\(89\) 418.779 + 63.1208i 0.498770 + 0.0751774i 0.393609 0.919278i \(-0.371226\pi\)
0.105160 + 0.994455i \(0.466464\pi\)
\(90\) −313.909 + 88.6897i −0.367655 + 0.103875i
\(91\) −393.208 167.122i −0.452961 0.192518i
\(92\) −317.637 + 659.581i −0.359956 + 0.747457i
\(93\) 1401.37 140.999i 1.56253 0.157214i
\(94\) 440.704 474.966i 0.483565 0.521159i
\(95\) −938.479 70.3293i −1.01354 0.0759540i
\(96\) 305.579 + 907.870i 0.324875 + 0.965199i
\(97\) 1802.66i 1.88693i −0.331467 0.943467i \(-0.607543\pi\)
0.331467 0.943467i \(-0.392457\pi\)
\(98\) 468.835 332.882i 0.483260 0.343124i
\(99\) −709.652 124.333i −0.720432 0.126222i
\(100\) −138.526 + 352.960i −0.138526 + 0.352960i
\(101\) −77.3415 + 1032.05i −0.0761957 + 1.01676i 0.819786 + 0.572670i \(0.194092\pi\)
−0.895982 + 0.444091i \(0.853527\pi\)
\(102\) −215.788 10.6516i −0.209473 0.0103399i
\(103\) −641.166 + 940.418i −0.613359 + 0.899633i −0.999742 0.0227057i \(-0.992772\pi\)
0.386383 + 0.922338i \(0.373724\pi\)
\(104\) −459.570 221.317i −0.433313 0.208673i
\(105\) −345.325 601.466i −0.320955 0.559020i
\(106\) −1077.86 + 519.071i −0.987653 + 0.475629i
\(107\) −180.917 + 1200.31i −0.163457 + 1.08447i 0.745175 + 0.666869i \(0.232366\pi\)
−0.908632 + 0.417597i \(0.862872\pi\)
\(108\) 314.842 656.519i 0.280515 0.584941i
\(109\) −1724.33 + 259.901i −1.51524 + 0.228386i −0.853399 0.521259i \(-0.825463\pi\)
−0.661841 + 0.749645i \(0.730224\pi\)
\(110\) −236.319 + 219.272i −0.204838 + 0.190061i
\(111\) 60.3895 299.570i 0.0516389 0.256162i
\(112\) −69.4016 + 44.5340i −0.0585521 + 0.0375721i
\(113\) −197.396 157.418i −0.164332 0.131050i 0.537871 0.843027i \(-0.319229\pi\)
−0.702203 + 0.711977i \(0.747800\pi\)
\(114\) −813.849 + 794.672i −0.668631 + 0.652876i
\(115\) 299.652 971.448i 0.242980 0.787721i
\(116\) 131.933 + 76.1717i 0.105601 + 0.0609686i
\(117\) 213.673 + 585.076i 0.168838 + 0.462310i
\(118\) −352.796 + 80.5235i −0.275233 + 0.0628202i
\(119\) −89.6888 450.519i −0.0690904 0.347051i
\(120\) −378.150 736.619i −0.287668 0.560365i
\(121\) 591.477 182.446i 0.444385 0.137075i
\(122\) 120.494 + 307.014i 0.0894182 + 0.227834i
\(123\) −17.9726 + 33.0461i −0.0131751 + 0.0242249i
\(124\) 414.638 + 1344.22i 0.300287 + 0.973507i
\(125\) 317.627 1391.61i 0.227275 0.995758i
\(126\) −821.329 167.632i −0.580713 0.118522i
\(127\) 606.776 + 2658.46i 0.423958 + 1.85748i 0.508499 + 0.861062i \(0.330200\pi\)
−0.0845413 + 0.996420i \(0.526942\pi\)
\(128\) −880.279 + 508.229i −0.607863 + 0.350950i
\(129\) 506.231 89.5467i 0.345513 0.0611174i
\(130\) 266.327 + 82.1511i 0.179680 + 0.0554241i
\(131\) −131.558 1755.52i −0.0877428 1.17085i −0.851148 0.524926i \(-0.824093\pi\)
0.763405 0.645920i \(-0.223526\pi\)
\(132\) −18.3317 719.348i −0.0120877 0.474327i
\(133\) −2059.91 1267.17i −1.34299 0.826145i
\(134\) 292.361 233.150i 0.188479 0.150307i
\(135\) −296.447 + 966.665i −0.188993 + 0.616276i
\(136\) −81.7376 542.294i −0.0515364 0.341921i
\(137\) −1332.67 1954.66i −0.831076 1.21897i −0.973393 0.229144i \(-0.926407\pi\)
0.142316 0.989821i \(-0.454545\pi\)
\(138\) −641.276 1048.12i −0.395573 0.646534i
\(139\) 197.319 + 409.736i 0.120405 + 0.250024i 0.952456 0.304675i \(-0.0985477\pi\)
−0.832051 + 0.554699i \(0.812833\pi\)
\(140\) 520.728 456.813i 0.314354 0.275770i
\(141\) −496.638 1945.98i −0.296627 1.16228i
\(142\) 1292.28 + 881.060i 0.763701 + 0.520682i
\(143\) 451.250 + 418.699i 0.263884 + 0.244849i
\(144\) 116.532 + 29.5375i 0.0674375 + 0.0170934i
\(145\) −196.930 77.2893i −0.112787 0.0442657i
\(146\) 619.974 0.351435
\(147\) −79.2824 1780.52i −0.0444837 0.999010i
\(148\) 305.223 0.169521
\(149\) 2977.50 + 1168.58i 1.63709 + 0.642511i 0.992526 0.122037i \(-0.0389427\pi\)
0.644566 + 0.764548i \(0.277038\pi\)
\(150\) −371.779 516.519i −0.202371 0.281157i
\(151\) 683.815 + 634.488i 0.368531 + 0.341946i 0.842599 0.538542i \(-0.181025\pi\)
−0.474068 + 0.880488i \(0.657215\pi\)
\(152\) −2385.64 1626.50i −1.27303 0.867938i
\(153\) −390.331 + 544.167i −0.206251 + 0.287538i
\(154\) −798.139 + 222.017i −0.417636 + 0.116173i
\(155\) −847.576 1760.01i −0.439219 0.912047i
\(156\) −530.665 + 324.680i −0.272354 + 0.166636i
\(157\) −493.559 723.918i −0.250894 0.367993i 0.680044 0.733171i \(-0.261961\pi\)
−0.930938 + 0.365178i \(0.881008\pi\)
\(158\) −9.24981 61.3685i −0.00465744 0.0309001i
\(159\) −459.090 + 3679.71i −0.228982 + 1.83534i
\(160\) 1038.74 828.369i 0.513249 0.409302i
\(161\) 1829.66 1864.79i 0.895634 0.912834i
\(162\) 639.502 + 1041.39i 0.310148 + 0.505057i
\(163\) −135.035 1801.92i −0.0648881 0.865872i −0.930766 0.365616i \(-0.880858\pi\)
0.865878 0.500256i \(-0.166761\pi\)
\(164\) −35.9021 11.0743i −0.0170944 0.00527293i
\(165\) 174.056 + 983.982i 0.0821225 + 0.464260i
\(166\) −115.889 + 66.9085i −0.0541851 + 0.0312838i
\(167\) 585.593 + 2565.65i 0.271345 + 1.18884i 0.908427 + 0.418043i \(0.137284\pi\)
−0.637082 + 0.770796i \(0.719859\pi\)
\(168\) 5.13145 2127.82i 0.00235655 0.977171i
\(169\) −370.454 + 1623.07i −0.168618 + 0.738764i
\(170\) 88.3251 + 286.343i 0.0398484 + 0.129185i
\(171\) 702.388 + 3455.12i 0.314111 + 1.54514i
\(172\) 187.589 + 477.968i 0.0831599 + 0.211888i
\(173\) −496.782 + 153.237i −0.218322 + 0.0673433i −0.401986 0.915646i \(-0.631680\pi\)
0.183665 + 0.982989i \(0.441204\pi\)
\(174\) −227.472 + 116.775i −0.0991071 + 0.0508775i
\(175\) 872.818 1033.96i 0.377022 0.446629i
\(176\) 115.830 26.4375i 0.0496082 0.0113228i
\(177\) −383.059 + 1054.23i −0.162669 + 0.447690i
\(178\) −614.840 354.978i −0.258900 0.149476i
\(179\) −445.680 + 1444.86i −0.186099 + 0.603317i 0.813660 + 0.581341i \(0.197472\pi\)
−0.999758 + 0.0219760i \(0.993004\pi\)
\(180\) −1004.96 99.4547i −0.416139 0.0411829i
\(181\) 1731.45 + 1380.79i 0.711038 + 0.567034i 0.910819 0.412807i \(-0.135451\pi\)
−0.199781 + 0.979841i \(0.564023\pi\)
\(182\) 511.242 + 501.610i 0.208219 + 0.204296i
\(183\) 1002.15 + 202.020i 0.404813 + 0.0816051i
\(184\) 2286.38 2121.45i 0.916056 0.849975i
\(185\) −419.118 + 63.1719i −0.166563 + 0.0251054i
\(186\) −2273.16 638.232i −0.896109 0.251599i
\(187\) −98.6422 + 654.448i −0.0385745 + 0.255925i
\(188\) 1807.26 870.329i 0.701105 0.337634i
\(189\) −1816.70 + 1857.65i −0.699182 + 0.714943i
\(190\) 1421.41 + 684.514i 0.542736 + 0.261368i
\(191\) −1861.93 + 2730.94i −0.705362 + 1.03458i 0.291588 + 0.956544i \(0.405816\pi\)
−0.996951 + 0.0780328i \(0.975136\pi\)
\(192\) 70.0443 1419.00i 0.0263282 0.533374i
\(193\) 83.6805 1116.64i 0.0312096 0.416463i −0.959616 0.281314i \(-0.909230\pi\)
0.990825 0.135149i \(-0.0431513\pi\)
\(194\) −1104.03 + 2813.02i −0.408581 + 1.04105i
\(195\) 661.486 555.667i 0.242923 0.204062i
\(196\) 1727.62 429.045i 0.629601 0.156358i
\(197\) 2059.48i 0.744831i 0.928066 + 0.372415i \(0.121470\pi\)
−0.928066 + 0.372415i \(0.878530\pi\)
\(198\) 1031.25 + 628.643i 0.370141 + 0.225635i
\(199\) 2773.75 + 207.864i 0.988070 + 0.0740456i 0.558949 0.829202i \(-0.311205\pi\)
0.429120 + 0.903247i \(0.358824\pi\)
\(200\) 1098.78 1184.20i 0.388476 0.418678i
\(201\) −116.038 1153.28i −0.0407197 0.404705i
\(202\) 752.764 1563.13i 0.262200 0.544463i
\(203\) −358.519 408.680i −0.123956 0.141299i
\(204\) −609.825 274.763i −0.209295 0.0943004i
\(205\) 51.5912 + 7.77612i 0.0175770 + 0.00264931i
\(206\) 1576.48 1074.83i 0.533198 0.363528i
\(207\) −3807.57 90.8020i −1.27847 0.0304888i
\(208\) −69.8646 75.2961i −0.0232896 0.0251002i
\(209\) 2172.55 + 2724.29i 0.719034 + 0.901640i
\(210\) 170.510 + 1150.07i 0.0560299 + 0.377916i
\(211\) 1076.49 1349.87i 0.351225 0.440423i −0.574566 0.818459i \(-0.694829\pi\)
0.925791 + 0.378036i \(0.123400\pi\)
\(212\) −3693.35 + 276.778i −1.19651 + 0.0896660i
\(213\) 4466.30 1885.57i 1.43674 0.606560i
\(214\) 1017.44 1762.25i 0.325003 0.562922i
\(215\) −356.513 617.499i −0.113088 0.195875i
\(216\) −2270.53 + 2113.66i −0.715231 + 0.665817i
\(217\) 139.989 5018.05i 0.0437930 1.56980i
\(218\) 2849.97 + 650.486i 0.885432 + 0.202094i
\(219\) 1041.74 1614.85i 0.321434 0.498272i
\(220\) −929.046 + 364.624i −0.284710 + 0.111741i
\(221\) 532.638 209.045i 0.162123 0.0636284i
\(222\) −277.707 + 430.489i −0.0839570 + 0.130146i
\(223\) 3013.80 + 687.879i 0.905017 + 0.206564i 0.649608 0.760269i \(-0.274933\pi\)
0.255408 + 0.966833i \(0.417790\pi\)
\(224\) 3348.52 666.620i 0.998806 0.198841i
\(225\) −1970.08 + 100.475i −0.583726 + 0.0297705i
\(226\) 211.624 + 366.543i 0.0622876 + 0.107885i
\(227\) −392.386 + 679.633i −0.114730 + 0.198717i −0.917672 0.397340i \(-0.869933\pi\)
0.802942 + 0.596057i \(0.203267\pi\)
\(228\) −3244.21 + 1369.63i −0.942339 + 0.397834i
\(229\) 3039.51 227.779i 0.877101 0.0657296i 0.371435 0.928459i \(-0.378866\pi\)
0.505666 + 0.862729i \(0.331247\pi\)
\(230\) −1062.56 + 1332.41i −0.304622 + 0.381984i
\(231\) −762.814 + 2451.97i −0.217270 + 0.698389i
\(232\) −404.677 507.449i −0.114519 0.143602i
\(233\) 1467.59 + 1581.69i 0.412640 + 0.444721i 0.904834 0.425765i \(-0.139995\pi\)
−0.492193 + 0.870486i \(0.663805\pi\)
\(234\) 24.8938 1043.86i 0.00695453 0.291622i
\(235\) −2301.51 + 1569.14i −0.638868 + 0.435573i
\(236\) −1107.79 166.972i −0.305554 0.0460549i
\(237\) −175.389 79.0237i −0.0480707 0.0216588i
\(238\) −135.960 + 757.957i −0.0370293 + 0.206433i
\(239\) −29.2480 + 60.7341i −0.00791588 + 0.0164375i −0.904889 0.425647i \(-0.860047\pi\)
0.896973 + 0.442084i \(0.145761\pi\)
\(240\) −16.6921 165.900i −0.00448946 0.0446199i
\(241\) −1270.63 + 1369.41i −0.339620 + 0.366023i −0.879649 0.475623i \(-0.842223\pi\)
0.540029 + 0.841646i \(0.318413\pi\)
\(242\) −1034.73 77.5422i −0.274855 0.0205975i
\(243\) 3787.06 + 84.1178i 0.999753 + 0.0222064i
\(244\) 1021.06i 0.267895i
\(245\) −2283.50 + 946.711i −0.595458 + 0.246870i
\(246\) 48.2848 40.5606i 0.0125143 0.0105124i
\(247\) 1100.59 2804.26i 0.283518 0.722392i
\(248\) 447.877 5976.51i 0.114678 1.53028i
\(249\) −20.4496 + 414.282i −0.00520459 + 0.105438i
\(250\) −1347.94 + 1977.06i −0.341004 + 0.500162i
\(251\) −3843.07 1850.73i −0.966424 0.465405i −0.117009 0.993131i \(-0.537331\pi\)
−0.849415 + 0.527726i \(0.823045\pi\)
\(252\) −2177.36 1412.05i −0.544288 0.352980i
\(253\) −3391.28 + 1633.16i −0.842720 + 0.405833i
\(254\) 681.296 4520.10i 0.168300 1.11660i
\(255\) 894.251 + 251.077i 0.219609 + 0.0616591i
\(256\) 3847.85 579.970i 0.939417 0.141594i
\(257\) 3960.45 3674.76i 0.961269 0.891927i −0.0329330 0.999458i \(-0.510485\pi\)
0.994202 + 0.107531i \(0.0342943\pi\)
\(258\) −844.808 170.302i −0.203858 0.0410952i
\(259\) −1031.47 349.951i −0.247460 0.0839572i
\(260\) 674.602 + 537.977i 0.160912 + 0.128323i
\(261\) −78.0546 + 788.715i −0.0185113 + 0.187051i
\(262\) −869.866 + 2820.04i −0.205116 + 0.664971i
\(263\) −5242.52 3026.77i −1.22915 0.709653i −0.262302 0.964986i \(-0.584482\pi\)
−0.966853 + 0.255333i \(0.917815\pi\)
\(264\) −1046.98 + 2881.43i −0.244079 + 0.671741i
\(265\) 5014.25 1144.47i 1.16235 0.265299i
\(266\) 2438.39 + 3238.98i 0.562058 + 0.746595i
\(267\) −1957.72 + 1005.01i −0.448729 + 0.230359i
\(268\) 1106.25 341.233i 0.252145 0.0777766i
\(269\) −498.311 1269.68i −0.112946 0.287783i 0.863212 0.504841i \(-0.168449\pi\)
−0.976159 + 0.217059i \(0.930354\pi\)
\(270\) 1054.63 1326.91i 0.237714 0.299085i
\(271\) −542.194 1757.75i −0.121535 0.394006i 0.874278 0.485426i \(-0.161336\pi\)
−0.995812 + 0.0914201i \(0.970859\pi\)
\(272\) 24.5742 107.667i 0.00547805 0.0240009i
\(273\) 2165.58 488.788i 0.480099 0.108362i
\(274\) 882.482 + 3866.41i 0.194572 + 0.852475i
\(275\) −1688.34 + 974.766i −0.370222 + 0.213748i
\(276\) −662.598 3745.84i −0.144506 0.816932i
\(277\) −2166.79 668.366i −0.469999 0.144976i 0.0507032 0.998714i \(-0.483854\pi\)
−0.520703 + 0.853738i \(0.674330\pi\)
\(278\) −56.9716 760.233i −0.0122911 0.164013i
\(279\) −5481.97 + 4848.51i −1.17633 + 1.04040i
\(280\) −2776.22 + 1001.17i −0.592538 + 0.213684i
\(281\) −3062.15 + 2441.99i −0.650081 + 0.518422i −0.892093 0.451851i \(-0.850764\pi\)
0.242013 + 0.970273i \(0.422192\pi\)
\(282\) −416.812 + 3340.84i −0.0880170 + 0.705475i
\(283\) 287.548 + 1907.76i 0.0603992 + 0.400722i 0.998519 + 0.0544105i \(0.0173280\pi\)
−0.938119 + 0.346312i \(0.887434\pi\)
\(284\) 2727.65 + 4000.72i 0.569916 + 0.835913i
\(285\) 4171.33 2552.17i 0.866977 0.530448i
\(286\) −447.738 929.738i −0.0925710 0.192226i
\(287\) 108.630 + 78.5877i 0.0223422 + 0.0161634i
\(288\) −4044.57 2901.17i −0.827531 0.593587i
\(289\) −3551.01 2421.04i −0.722779 0.492782i
\(290\) 259.970 + 241.217i 0.0526413 + 0.0488440i
\(291\) 5472.02 + 7602.37i 1.10232 + 1.53147i
\(292\) 1786.68 + 701.221i 0.358074 + 0.140534i
\(293\) 8728.18 1.74029 0.870146 0.492794i \(-0.164024\pi\)
0.870146 + 0.492794i \(0.164024\pi\)
\(294\) −966.749 + 2827.02i −0.191775 + 0.560800i
\(295\) 1555.72 0.307043
\(296\) −1210.50 475.085i −0.237698 0.0932897i
\(297\) 3370.23 1629.81i 0.658454 0.318422i
\(298\) −3930.65 3647.11i −0.764083 0.708965i
\(299\) 2688.73 + 1833.15i 0.520045 + 0.354561i
\(300\) −487.208 1909.04i −0.0937633 0.367394i
\(301\) −85.9231 1830.32i −0.0164536 0.350491i
\(302\) −678.494 1408.91i −0.129281 0.268455i
\(303\) −2806.64 4587.24i −0.532136 0.869736i
\(304\) −327.529 480.397i −0.0617931 0.0906338i
\(305\) −211.328 1402.07i −0.0396741 0.263221i
\(306\) 942.377 610.108i 0.176053 0.113979i
\(307\) −3471.12 + 2768.13i −0.645301 + 0.514610i −0.890571 0.454844i \(-0.849695\pi\)
0.245270 + 0.969455i \(0.421123\pi\)
\(308\) −2551.24 262.911i −0.471982 0.0486388i
\(309\) −150.668 5912.30i −0.0277385 1.08848i
\(310\) 244.720 + 3265.56i 0.0448360 + 0.598294i
\(311\) −3966.70 1223.56i −0.723250 0.223093i −0.0887919 0.996050i \(-0.528301\pi\)
−0.634458 + 0.772957i \(0.718777\pi\)
\(312\) 2609.96 461.673i 0.473589 0.0837727i
\(313\) −6506.12 + 3756.31i −1.17491 + 0.678336i −0.954832 0.297145i \(-0.903965\pi\)
−0.220081 + 0.975482i \(0.570632\pi\)
\(314\) 326.831 + 1431.94i 0.0587393 + 0.257354i
\(315\) 3282.10 + 1488.32i 0.587065 + 0.266214i
\(316\) 42.7540 187.318i 0.00761108 0.0333463i
\(317\) −506.578 1642.29i −0.0897548 0.290978i 0.899555 0.436808i \(-0.143891\pi\)
−0.989310 + 0.145830i \(0.953415\pi\)
\(318\) 2970.02 5460.95i 0.523743 0.963003i
\(319\) 286.166 + 729.139i 0.0502264 + 0.127975i
\(320\) −1882.97 + 580.818i −0.328941 + 0.101465i
\(321\) −2880.57 5611.22i −0.500865 0.975663i
\(322\) −3997.23 + 1789.41i −0.691792 + 0.309690i
\(323\) 3157.70 720.724i 0.543960 0.124155i
\(324\) 665.096 + 3724.45i 0.114042 + 0.638623i
\(325\) 1459.65 + 842.730i 0.249129 + 0.143835i
\(326\) −892.855 + 2894.56i −0.151689 + 0.491764i
\(327\) 6483.09 6330.33i 1.09638 1.07054i
\(328\) 125.148 + 99.8024i 0.0210676 + 0.0168008i
\(329\) −7105.29 + 869.078i −1.19066 + 0.145635i
\(330\) 331.024 1642.09i 0.0552189 0.273921i
\(331\) −765.939 + 710.687i −0.127190 + 0.118015i −0.741203 0.671281i \(-0.765745\pi\)
0.614013 + 0.789296i \(0.289554\pi\)
\(332\) −409.653 + 61.7452i −0.0677187 + 0.0102070i
\(333\) 654.670 + 1446.69i 0.107735 + 0.238072i
\(334\) 657.511 4362.30i 0.107717 0.714654i
\(335\) −1448.43 + 697.526i −0.236227 + 0.113761i
\(336\) 157.503 398.483i 0.0255729 0.0646995i
\(337\) 3217.93 + 1549.67i 0.520154 + 0.250493i 0.675491 0.737369i \(-0.263932\pi\)
−0.155337 + 0.987862i \(0.549646\pi\)
\(338\) 1572.12 2305.88i 0.252995 0.371076i
\(339\) 1310.33 + 64.6797i 0.209932 + 0.0103626i
\(340\) −69.3267 + 925.101i −0.0110581 + 0.147561i
\(341\) −2642.42 + 6732.79i −0.419634 + 1.06921i
\(342\) 1020.00 5821.82i 0.161273 0.920492i
\(343\) −6330.23 530.887i −0.996502 0.0835720i
\(344\) 2187.58i 0.342867i
\(345\) 1685.13 + 5006.48i 0.262969 + 0.781276i
\(346\) 869.069 + 65.1277i 0.135033 + 0.0101193i
\(347\) 5334.05 5748.74i 0.825207 0.889362i −0.170169 0.985415i \(-0.554431\pi\)
0.995376 + 0.0960529i \(0.0306218\pi\)
\(348\) −787.622 + 79.2471i −0.121325 + 0.0122072i
\(349\) −5614.13 + 11657.9i −0.861081 + 1.78805i −0.318914 + 0.947784i \(0.603318\pi\)
−0.542168 + 0.840270i \(0.682396\pi\)
\(350\) −1995.26 + 1078.92i −0.304718 + 0.164774i
\(351\) −2677.13 1818.83i −0.407107 0.276587i
\(352\) −4864.24 733.167i −0.736549 0.111017i
\(353\) −7311.03 + 4984.57i −1.10234 + 0.751564i −0.970834 0.239751i \(-0.922934\pi\)
−0.131508 + 0.991315i \(0.541982\pi\)
\(354\) 1243.42 1410.51i 0.186686 0.211774i
\(355\) −4573.51 4929.07i −0.683765 0.736924i
\(356\) −1370.39 1718.41i −0.204018 0.255830i
\(357\) 1745.80 + 1627.72i 0.258817 + 0.241311i
\(358\) 1580.37 1981.72i 0.233311 0.292562i
\(359\) −11739.5 + 879.754i −1.72587 + 0.129336i −0.900386 0.435092i \(-0.856716\pi\)
−0.825483 + 0.564428i \(0.809097\pi\)
\(360\) 3830.79 + 1958.66i 0.560835 + 0.286752i
\(361\) 5096.68 8827.71i 0.743065 1.28703i
\(362\) −1856.25 3215.12i −0.269509 0.466803i
\(363\) −1940.62 + 2564.87i −0.280595 + 0.370856i
\(364\) 905.986 + 2023.81i 0.130458 + 0.291419i
\(365\) −2598.52 593.096i −0.372638 0.0850522i
\(366\) −1440.11 929.008i −0.205671 0.132678i
\(367\) −8786.96 + 3448.63i −1.24980 + 0.490509i −0.895683 0.444693i \(-0.853313\pi\)
−0.354114 + 0.935202i \(0.615218\pi\)
\(368\) 584.657 229.461i 0.0828188 0.0325040i
\(369\) −24.5162 193.921i −0.00345871 0.0273581i
\(370\) 692.716 + 158.108i 0.0973314 + 0.0222153i
\(371\) 12798.6 + 3299.24i 1.79102 + 0.461693i
\(372\) −5829.07 4410.35i −0.812428 0.614694i
\(373\) −2376.90 4116.90i −0.329949 0.571488i 0.652552 0.757744i \(-0.273698\pi\)
−0.982501 + 0.186255i \(0.940365\pi\)
\(374\) 554.743 960.842i 0.0766980 0.132845i
\(375\) 2884.75 + 6833.02i 0.397247 + 0.940948i
\(376\) −8522.16 + 638.648i −1.16887 + 0.0875951i
\(377\) 422.218 529.445i 0.0576800 0.0723284i
\(378\) 3972.64 1786.21i 0.540557 0.243049i
\(379\) 3652.00 + 4579.47i 0.494963 + 0.620664i 0.965085 0.261938i \(-0.0843615\pi\)
−0.470122 + 0.882601i \(0.655790\pi\)
\(380\) 3322.09 + 3580.36i 0.448472 + 0.483338i
\(381\) −10628.8 9369.64i −1.42921 1.25990i
\(382\) 4578.06 3121.27i 0.613177 0.418057i
\(383\) 11886.9 + 1791.65i 1.58587 + 0.239032i 0.881985 0.471278i \(-0.156207\pi\)
0.703889 + 0.710310i \(0.251445\pi\)
\(384\) 2169.66 4815.46i 0.288333 0.639943i
\(385\) 3557.66 167.012i 0.470949 0.0221084i
\(386\) −814.461 + 1691.25i −0.107396 + 0.223011i
\(387\) −1863.11 + 1914.32i −0.244721 + 0.251448i
\(388\) −6363.33 + 6858.04i −0.832601 + 0.897330i
\(389\) −3291.01 246.627i −0.428948 0.0321452i −0.141493 0.989939i \(-0.545190\pi\)
−0.287455 + 0.957794i \(0.592809\pi\)
\(390\) −1372.55 + 461.986i −0.178210 + 0.0599835i
\(391\) 3498.75i 0.452531i
\(392\) −7519.48 987.509i −0.968854 0.127237i
\(393\) 5883.75 + 7004.22i 0.755206 + 0.899023i
\(394\) 1261.32 3213.78i 0.161280 0.410934i
\(395\) −19.9388 + 266.065i −0.00253982 + 0.0338916i
\(396\) 2260.91 + 2978.06i 0.286906 + 0.377912i
\(397\) 2286.28 3353.36i 0.289030 0.423930i −0.654072 0.756432i \(-0.726941\pi\)
0.943102 + 0.332503i \(0.107893\pi\)
\(398\) −4201.08 2023.14i −0.529099 0.254801i
\(399\) 12533.8 908.887i 1.57262 0.114038i
\(400\) 293.087 141.143i 0.0366358 0.0176429i
\(401\) 2235.83 14833.8i 0.278434 1.84729i −0.213865 0.976863i \(-0.568605\pi\)
0.492299 0.870426i \(-0.336157\pi\)
\(402\) −525.243 + 1870.73i −0.0651660 + 0.232099i
\(403\) 6183.21 931.969i 0.764287 0.115198i
\(404\) 3937.34 3653.32i 0.484876 0.449899i
\(405\) −1684.13 4976.59i −0.206630 0.610589i
\(406\) 309.169 + 857.312i 0.0377926 + 0.104797i
\(407\) 1226.95 + 978.459i 0.149429 + 0.119166i
\(408\) 1990.86 + 2038.90i 0.241574 + 0.247403i
\(409\) −3464.15 + 11230.5i −0.418805 + 1.35773i 0.463100 + 0.886306i \(0.346737\pi\)
−0.881905 + 0.471427i \(0.843739\pi\)
\(410\) −75.7447 43.7312i −0.00912382 0.00526764i
\(411\) 11553.7 + 4198.07i 1.38662 + 0.503833i
\(412\) 5758.89 1314.43i 0.688641 0.157178i
\(413\) 3552.20 + 1834.39i 0.423226 + 0.218558i
\(414\) 5886.03 + 2473.62i 0.698751 + 0.293651i
\(415\) 549.737 169.571i 0.0650254 0.0200577i
\(416\) 1553.75 + 3958.88i 0.183122 + 0.466587i
\(417\) −2075.91 1129.02i −0.243784 0.132585i
\(418\) −1721.75 5581.77i −0.201467 0.653141i
\(419\) −231.998 + 1016.45i −0.0270497 + 0.118512i −0.986650 0.162853i \(-0.947930\pi\)
0.959601 + 0.281366i \(0.0907874\pi\)
\(420\) −809.399 + 3507.20i −0.0940348 + 0.407461i
\(421\) −1692.67 7416.07i −0.195952 0.858521i −0.973316 0.229470i \(-0.926301\pi\)
0.777364 0.629051i \(-0.216556\pi\)
\(422\) −2506.57 + 1447.17i −0.289142 + 0.166936i
\(423\) 8001.54 + 6699.24i 0.919736 + 0.770043i
\(424\) 15078.4 + 4651.07i 1.72706 + 0.532727i
\(425\) 135.421 + 1807.06i 0.0154562 + 0.206248i
\(426\) −8124.40 + 207.040i −0.924010 + 0.0235473i
\(427\) 1170.69 3450.54i 0.132678 0.391062i
\(428\) 4925.31 3927.80i 0.556247 0.443593i
\(429\) −3174.02 396.000i −0.357211 0.0445666i
\(430\) 178.149 + 1181.94i 0.0199793 + 0.132554i
\(431\) 3067.13 + 4498.66i 0.342781 + 0.502767i 0.958459 0.285231i \(-0.0920702\pi\)
−0.615678 + 0.787998i \(0.711118\pi\)
\(432\) −581.112 + 229.167i −0.0647194 + 0.0255227i
\(433\) −3949.55 8201.32i −0.438345 0.910232i −0.996742 0.0806583i \(-0.974298\pi\)
0.558397 0.829574i \(-0.311417\pi\)
\(434\) −3291.73 + 7744.85i −0.364074 + 0.856600i
\(435\) 1065.13 271.833i 0.117400 0.0299618i
\(436\) 7477.48 + 5098.06i 0.821345 + 0.559984i
\(437\) 13503.1 + 12529.1i 1.47813 + 1.37150i
\(438\) −2614.62 + 1881.94i −0.285231 + 0.205303i
\(439\) −875.610 343.652i −0.0951950 0.0373613i 0.317266 0.948337i \(-0.397235\pi\)
−0.412461 + 0.910975i \(0.635331\pi\)
\(440\) 4252.09 0.460705
\(441\) 5739.15 + 7268.31i 0.619712 + 0.784830i
\(442\) −959.201 −0.103223
\(443\) 15855.3 + 6222.73i 1.70046 + 0.667383i 0.998974 0.0452953i \(-0.0144229\pi\)
0.701491 + 0.712678i \(0.252518\pi\)
\(444\) −1287.22 + 926.510i −0.137587 + 0.0990321i
\(445\) 2237.41 + 2076.02i 0.238345 + 0.221152i
\(446\) −4281.69 2919.21i −0.454583 0.309929i
\(447\) −16104.3 + 4110.00i −1.70404 + 0.434892i
\(448\) −4984.26 894.062i −0.525634 0.0942867i
\(449\) 5232.79 + 10866.0i 0.550001 + 1.14209i 0.971889 + 0.235441i \(0.0756534\pi\)
−0.421888 + 0.906648i \(0.638632\pi\)
\(450\) 3135.81 + 1049.77i 0.328496 + 0.109971i
\(451\) −108.820 159.609i −0.0113617 0.0166645i
\(452\) 195.293 + 1295.68i 0.0203226 + 0.134831i
\(453\) −4809.86 600.091i −0.498867 0.0622400i
\(454\) 1028.55 820.241i 0.106327 0.0847926i
\(455\) −1662.93 2591.49i −0.171339 0.267013i
\(456\) 14998.2 382.212i 1.54025 0.0392515i
\(457\) −964.800 12874.4i −0.0987559 1.31781i −0.797885 0.602810i \(-0.794048\pi\)
0.699129 0.714995i \(-0.253571\pi\)
\(458\) −4882.60 1506.08i −0.498142 0.153656i
\(459\) −5.68949 3479.77i −0.000578568 0.353860i
\(460\) −4569.17 + 2638.01i −0.463127 + 0.267387i
\(461\) −3595.87 15754.5i −0.363289 1.59168i −0.744785 0.667304i \(-0.767448\pi\)
0.381496 0.924371i \(-0.375409\pi\)
\(462\) 2692.05 3359.08i 0.271095 0.338265i
\(463\) 845.513 3704.43i 0.0848689 0.371835i −0.914602 0.404355i \(-0.867496\pi\)
0.999471 + 0.0325198i \(0.0103532\pi\)
\(464\) −38.5245 124.893i −0.00385443 0.0124957i
\(465\) 8917.03 + 4849.65i 0.889284 + 0.483650i
\(466\) −1321.46 3367.02i −0.131363 0.334708i
\(467\) 3501.27 1080.00i 0.346936 0.107016i −0.116390 0.993204i \(-0.537132\pi\)
0.463326 + 0.886188i \(0.346656\pi\)
\(468\) 1252.40 2980.12i 0.123701 0.294350i
\(469\) −4129.68 115.206i −0.406591 0.0113427i
\(470\) 4552.48 1039.07i 0.446788 0.101976i
\(471\) 4278.95 + 1554.77i 0.418607 + 0.152102i
\(472\) 4133.52 + 2386.49i 0.403095 + 0.232727i
\(473\) −778.155 + 2522.72i −0.0756440 + 0.245232i
\(474\) 225.295 + 230.731i 0.0218315 + 0.0223583i
\(475\) 7459.14 + 5948.47i 0.720524 + 0.574599i
\(476\) −1249.10 + 2030.55i −0.120279 + 0.195525i
\(477\) −9233.70 16912.0i −0.886335 1.62337i
\(478\) 82.8373 76.8617i 0.00792654 0.00735476i
\(479\) −16640.0 + 2508.08i −1.58727 + 0.239243i −0.882542 0.470233i \(-0.844170\pi\)
−0.704730 + 0.709476i \(0.748932\pi\)
\(480\) −1866.16 + 6646.60i −0.177454 + 0.632030i
\(481\) 202.214 1341.60i 0.0191687 0.127176i
\(482\) 2821.48 1358.76i 0.266629 0.128402i
\(483\) −2055.60 + 13418.3i −0.193650 + 1.26409i
\(484\) −2894.24 1393.79i −0.271811 0.130897i
\(485\) 7318.43 10734.2i 0.685181 1.00498i
\(486\) −5858.13 2450.63i −0.546770 0.228730i
\(487\) −514.431 + 6864.60i −0.0478667 + 0.638737i 0.920746 + 0.390162i \(0.127581\pi\)
−0.968613 + 0.248575i \(0.920038\pi\)
\(488\) 1589.29 4049.45i 0.147426 0.375636i
\(489\) 6039.24 + 7189.33i 0.558495 + 0.664852i
\(490\) 4143.17 78.8128i 0.381978 0.00726612i
\(491\) 2856.83i 0.262580i 0.991344 + 0.131290i \(0.0419120\pi\)
−0.991344 + 0.131290i \(0.958088\pi\)
\(492\) 185.026 62.2778i 0.0169545 0.00570670i
\(493\) 726.043 + 54.4094i 0.0663273 + 0.00497054i
\(494\) −3434.91 + 3701.95i −0.312842 + 0.337163i
\(495\) −3720.94 3621.40i −0.337866 0.328828i
\(496\) 523.640 1087.35i 0.0474035 0.0984344i
\(497\) −4630.77 16647.3i −0.417944 1.50249i
\(498\) 285.636 633.956i 0.0257021 0.0570447i
\(499\) −10364.3 1562.16i −0.929796 0.140144i −0.333355 0.942801i \(-0.608181\pi\)
−0.596441 + 0.802657i \(0.703419\pi\)
\(500\) −6120.73 + 4173.04i −0.547454 + 0.373248i
\(501\) −10257.7 9042.55i −0.914732 0.806370i
\(502\) 4863.58 + 5241.69i 0.432415 + 0.466032i
\(503\) −12780.9 16026.7i −1.13294 1.42066i −0.893103 0.449852i \(-0.851477\pi\)
−0.239839 0.970813i \(-0.577095\pi\)
\(504\) 6437.39 + 8989.22i 0.568937 + 0.794468i
\(505\) −4650.45 + 5831.48i −0.409787 + 0.513856i
\(506\) 6292.26 471.540i 0.552816 0.0414279i
\(507\) −3364.53 7969.47i −0.294722 0.698100i
\(508\) 7075.85 12255.7i 0.617992 1.07039i
\(509\) −275.539 477.247i −0.0239942 0.0415592i 0.853779 0.520636i \(-0.174305\pi\)
−0.877773 + 0.479076i \(0.840972\pi\)
\(510\) −1241.69 939.482i −0.107810 0.0815705i
\(511\) −5233.90 4418.20i −0.453100 0.382485i
\(512\) 1568.08 + 357.905i 0.135352 + 0.0308932i
\(513\) −13450.3 12439.1i −1.15759 1.07057i
\(514\) −8430.80 + 3308.85i −0.723476 + 0.283943i
\(515\) −7635.80 + 2996.83i −0.653347 + 0.256420i
\(516\) −2242.00 1446.31i −0.191276 0.123392i
\(517\) 10054.9 + 2294.97i 0.855348 + 0.195228i
\(518\) 1395.26 + 1177.81i 0.118348 + 0.0999034i
\(519\) 1629.92 2154.24i 0.137853 0.182198i
\(520\) −1838.06 3183.62i −0.155008 0.268482i
\(521\) 4417.87 7651.98i 0.371498 0.643454i −0.618298 0.785944i \(-0.712178\pi\)
0.989796 + 0.142490i \(0.0455109\pi\)
\(522\) 604.847 1182.97i 0.0507154 0.0991902i
\(523\) −22016.4 + 1649.90i −1.84074 + 0.137945i −0.949136 0.314867i \(-0.898040\pi\)
−0.891606 + 0.452812i \(0.850421\pi\)
\(524\) −5696.43 + 7143.10i −0.474904 + 0.595511i
\(525\) −542.328 + 7009.97i −0.0450841 + 0.582744i
\(526\) 6327.14 + 7933.98i 0.524480 + 0.657677i
\(527\) 4572.80 + 4928.30i 0.377978 + 0.407363i
\(528\) −408.240 + 463.101i −0.0336484 + 0.0381702i
\(529\) −6387.84 + 4355.16i −0.525014 + 0.357948i
\(530\) −8525.58 1285.02i −0.698731 0.105317i
\(531\) −1584.67 5608.80i −0.129508 0.458383i
\(532\) 3363.67 + 12092.2i 0.274124 + 0.985460i
\(533\) −72.4626 + 150.470i −0.00588875 + 0.0122281i
\(534\) 3670.51 369.310i 0.297450 0.0299281i
\(535\) −5950.28 + 6412.87i −0.480847 + 0.518229i
\(536\) −4918.46 368.588i −0.396353 0.0297025i
\(537\) −2506.33 7446.27i −0.201408 0.598381i
\(538\) 2286.50i 0.183230i
\(539\) 8320.18 + 3813.58i 0.664890 + 0.304755i
\(540\) 4540.09 2631.13i 0.361805 0.209678i
\(541\) 94.8957 241.790i 0.00754138 0.0192151i −0.927053 0.374929i \(-0.877667\pi\)
0.934595 + 0.355714i \(0.115762\pi\)
\(542\) −230.440 + 3075.00i −0.0182624 + 0.243695i
\(543\) −11493.5 567.336i −0.908346 0.0448374i
\(544\) −2575.77 + 3777.96i −0.203006 + 0.297755i
\(545\) −11322.9 5452.81i −0.889943 0.428574i
\(546\) −3678.71 563.552i −0.288341 0.0441718i
\(547\) −1285.95 + 619.282i −0.100518 + 0.0484069i −0.483467 0.875363i \(-0.660623\pi\)
0.382949 + 0.923769i \(0.374908\pi\)
\(548\) −1829.90 + 12140.6i −0.142645 + 0.946387i
\(549\) −4839.59 + 2190.06i −0.376227 + 0.170254i
\(550\) 3231.62 487.089i 0.250540 0.0377628i
\(551\) 2809.96 2607.26i 0.217256 0.201584i
\(552\) −3202.65 + 15887.2i −0.246945 + 1.22500i
\(553\) −359.250 + 583.999i −0.0276254 + 0.0449081i
\(554\) 2971.90 + 2370.01i 0.227913 + 0.181755i
\(555\) 1575.79 1538.66i 0.120520 0.117680i
\(556\) 695.676 2255.33i 0.0530634 0.172027i
\(557\) 18528.7 + 10697.6i 1.40949 + 0.813770i 0.995339 0.0964374i \(-0.0307448\pi\)
0.414152 + 0.910208i \(0.364078\pi\)
\(558\) 11524.0 4208.61i 0.874281 0.319292i
\(559\) 2225.18 507.883i 0.168363 0.0384278i
\(560\) −594.059 16.5725i −0.0448278 0.00125057i
\(561\) −1570.59 3059.43i −0.118200 0.230249i
\(562\) 6274.02 1935.28i 0.470914 0.145258i
\(563\) −5200.09 13249.6i −0.389267 0.991837i −0.982410 0.186739i \(-0.940208\pi\)
0.593142 0.805098i \(-0.297887\pi\)
\(564\) −4979.84 + 9156.40i −0.371789 + 0.683607i
\(565\) −536.334 1738.75i −0.0399358 0.129469i
\(566\) 719.682 3153.13i 0.0534461 0.234163i
\(567\) 2022.63 13348.9i 0.149810 0.988715i
\(568\) −4590.49 20112.3i −0.339107 1.48573i
\(569\) 5157.63 2977.76i 0.379999 0.219392i −0.297819 0.954622i \(-0.596259\pi\)
0.677818 + 0.735230i \(0.262926\pi\)
\(570\) −8072.36 + 1427.91i −0.593182 + 0.104927i
\(571\) 13542.1 + 4177.17i 0.992500 + 0.306146i 0.748141 0.663539i \(-0.230947\pi\)
0.244358 + 0.969685i \(0.421423\pi\)
\(572\) −238.742 3185.79i −0.0174516 0.232875i
\(573\) −437.534 17169.1i −0.0318992 1.25175i
\(574\) −121.384 189.165i −0.00882663 0.0137554i
\(575\) −8057.56 + 6425.69i −0.584389 + 0.466035i
\(576\) 4012.02 + 6196.99i 0.290221 + 0.448277i
\(577\) 1415.74 + 9392.83i 0.102146 + 0.677692i 0.980034 + 0.198828i \(0.0637134\pi\)
−0.877889 + 0.478865i \(0.841048\pi\)
\(578\) 4058.55 + 5952.79i 0.292064 + 0.428380i
\(579\) 3036.67 + 4963.21i 0.217962 + 0.356242i
\(580\) 476.371 + 989.194i 0.0341038 + 0.0708173i
\(581\) 1455.17 + 261.024i 0.103908 + 0.0186387i
\(582\) −3882.96 15214.7i −0.276553 1.08362i
\(583\) −15734.0 10727.2i −1.11773 0.762052i
\(584\) −5994.41 5562.00i −0.424744 0.394105i
\(585\) −1102.95 + 4351.37i −0.0779508 + 0.307533i
\(586\) −13620.2 5345.52i −0.960144 0.376829i
\(587\) −10030.2 −0.705268 −0.352634 0.935761i \(-0.614714\pi\)
−0.352634 + 0.935761i \(0.614714\pi\)
\(588\) −5983.53 + 7053.65i −0.419654 + 0.494707i
\(589\) 35395.6 2.47615
\(590\) −2427.68 952.793i −0.169400 0.0664845i
\(591\) −6251.58 8685.43i −0.435120 0.604519i
\(592\) −191.957 178.110i −0.0133267 0.0123653i
\(593\) −5922.88 4038.15i −0.410157 0.279641i 0.340613 0.940203i \(-0.389365\pi\)
−0.750771 + 0.660563i \(0.770318\pi\)
\(594\) −6257.36 + 479.214i −0.432227 + 0.0331017i
\(595\) 1294.95 3046.79i 0.0892232 0.209926i
\(596\) −7202.55 14956.2i −0.495013 1.02791i
\(597\) −12328.7 + 7543.15i −0.845193 + 0.517120i
\(598\) −3073.02 4507.30i −0.210143 0.308223i
\(599\) −612.814 4065.75i −0.0418011 0.277332i 0.958159 0.286236i \(-0.0924041\pi\)
−0.999960 + 0.00890328i \(0.997166\pi\)
\(600\) −1039.21 + 8329.48i −0.0707092 + 0.566749i
\(601\) −21879.3 + 17448.2i −1.48499 + 1.18424i −0.547209 + 0.836996i \(0.684310\pi\)
−0.937776 + 0.347240i \(0.887119\pi\)
\(602\) −986.886 + 2908.80i −0.0668147 + 0.196933i
\(603\) 3990.16 + 4511.48i 0.269472 + 0.304679i
\(604\) −361.785 4827.69i −0.0243722 0.325225i
\(605\) 4262.71 + 1314.87i 0.286453 + 0.0883590i
\(606\) 1570.28 + 8877.22i 0.105261 + 0.595070i
\(607\) 10781.4 6224.65i 0.720929 0.416228i −0.0941657 0.995557i \(-0.530018\pi\)
0.815094 + 0.579328i \(0.196685\pi\)
\(608\) 5356.85 + 23469.9i 0.357317 + 1.56551i
\(609\) 2752.54 + 635.237i 0.183150 + 0.0422678i
\(610\) −528.916 + 2317.33i −0.0351069 + 0.153813i
\(611\) −2628.18 8520.36i −0.174018 0.564152i
\(612\) 3405.86 692.375i 0.224957 0.0457314i
\(613\) −4234.20 10788.6i −0.278985 0.710841i −0.999842 0.0177581i \(-0.994347\pi\)
0.720858 0.693083i \(-0.243748\pi\)
\(614\) 7111.95 2193.75i 0.467451 0.144190i
\(615\) −241.180 + 123.812i −0.0158135 + 0.00811801i
\(616\) 9708.85 + 5013.74i 0.635033 + 0.327937i
\(617\) 10515.6 2400.11i 0.686129 0.156604i 0.134775 0.990876i \(-0.456969\pi\)
0.551354 + 0.834272i \(0.314112\pi\)
\(618\) −3385.84 + 9318.32i −0.220386 + 0.606534i
\(619\) 15541.2 + 8972.71i 1.00913 + 0.582623i 0.910938 0.412544i \(-0.135360\pi\)
0.0981953 + 0.995167i \(0.468693\pi\)
\(620\) −2988.25 + 9687.68i −0.193566 + 0.627527i
\(621\) 16333.3 11175.0i 1.05545 0.722122i
\(622\) 5440.60 + 4338.74i 0.350721 + 0.279690i
\(623\) 2660.83 + 7378.38i 0.171114 + 0.474492i
\(624\) 523.203 + 105.471i 0.0335655 + 0.00676638i
\(625\) 846.358 785.306i 0.0541669 0.0502596i
\(626\) 12453.2 1877.02i 0.795098 0.119842i
\(627\) −17431.9 4894.32i −1.11031 0.311739i
\(628\) −677.710 + 4496.31i −0.0430630 + 0.285705i
\(629\) 1314.26 632.915i 0.0833117 0.0401208i
\(630\) −4210.15 4332.60i −0.266248 0.273992i
\(631\) 1551.65 + 747.238i 0.0978929 + 0.0471427i 0.482189 0.876067i \(-0.339842\pi\)
−0.384297 + 0.923210i \(0.625556\pi\)
\(632\) −461.123 + 676.344i −0.0290229 + 0.0425688i
\(633\) −442.306 + 8960.53i −0.0277726 + 0.562637i
\(634\) −215.302 + 2873.01i −0.0134870 + 0.179971i
\(635\) −7179.67 + 18293.5i −0.448688 + 1.14324i
\(636\) 14735.8 12378.5i 0.918729 0.771759i
\(637\) −741.288 7877.98i −0.0461082 0.490011i
\(638\) 1313.07i 0.0814811i
\(639\) −13112.0 + 21509.6i −0.811744 + 1.33162i
\(640\) −7305.03 547.436i −0.451182 0.0338114i
\(641\) 15656.2 16873.3i 0.964714 1.03971i −0.0344729 0.999406i \(-0.510975\pi\)
0.999187 0.0403091i \(-0.0128343\pi\)
\(642\) 1058.52 + 10520.4i 0.0650722 + 0.646741i
\(643\) 4434.74 9208.83i 0.271989 0.564791i −0.719574 0.694416i \(-0.755663\pi\)
0.991563 + 0.129625i \(0.0413772\pi\)
\(644\) −13543.4 + 635.786i −0.828702 + 0.0389029i
\(645\) 3377.95 + 1521.98i 0.206212 + 0.0929112i
\(646\) −5368.94 809.238i −0.326994 0.0492864i
\(647\) 16071.0 10957.0i 0.976530 0.665787i 0.0338300 0.999428i \(-0.489230\pi\)
0.942700 + 0.333640i \(0.108277\pi\)
\(648\) 3159.44 15806.2i 0.191535 0.958218i
\(649\) −3917.87 4222.46i −0.236964 0.255387i
\(650\) −1761.64 2209.02i −0.106303 0.133300i
\(651\) 14642.0 + 21587.6i 0.881514 + 1.29967i
\(652\) −5846.98 + 7331.88i −0.351204 + 0.440396i
\(653\) −23336.6 + 1748.83i −1.39852 + 0.104804i −0.752536 0.658551i \(-0.771170\pi\)
−0.645979 + 0.763355i \(0.723551\pi\)
\(654\) −13993.7 + 5907.84i −0.836694 + 0.353233i
\(655\) 6343.68 10987.6i 0.378424 0.655450i
\(656\) 16.1168 + 27.9151i 0.000959229 + 0.00166143i
\(657\) 508.606 + 9972.52i 0.0302018 + 0.592184i
\(658\) 11619.9 + 2995.41i 0.688439 + 0.177467i
\(659\) −26488.4 6045.81i −1.56577 0.357377i −0.650272 0.759701i \(-0.725345\pi\)
−0.915497 + 0.402325i \(0.868202\pi\)
\(660\) 2811.24 4357.87i 0.165799 0.257015i
\(661\) 10650.2 4179.91i 0.626697 0.245960i −0.0306718 0.999530i \(-0.509765\pi\)
0.657369 + 0.753569i \(0.271669\pi\)
\(662\) 1630.49 639.921i 0.0957263 0.0375698i
\(663\) −1611.73 + 2498.44i −0.0944111 + 0.146352i
\(664\) 1720.77 + 392.754i 0.100570 + 0.0229545i
\(665\) −7121.57 15908.3i −0.415282 0.927666i
\(666\) −135.585 2658.49i −0.00788859 0.154676i
\(667\) 2070.38 + 3586.00i 0.120188 + 0.208172i
\(668\) 6828.83 11827.9i 0.395532 0.685081i
\(669\) −14798.2 + 6247.45i −0.855201 + 0.361047i
\(670\) 2687.44 201.396i 0.154963 0.0116128i
\(671\) −3273.22 + 4104.49i −0.188318 + 0.236143i
\(672\) −12098.2 + 12975.8i −0.694491 + 0.744872i
\(673\) 18706.9 + 23457.7i 1.07147 + 1.34358i 0.935683 + 0.352841i \(0.114784\pi\)
0.135786 + 0.990738i \(0.456644\pi\)
\(674\) −4072.44 4389.04i −0.232737 0.250830i
\(675\) 8003.41 6403.94i 0.456372 0.365167i
\(676\) 7138.71 4867.09i 0.406163 0.276917i
\(677\) 21824.8 + 3289.56i 1.23899 + 0.186748i 0.735663 0.677348i \(-0.236871\pi\)
0.503328 + 0.864096i \(0.332109\pi\)
\(678\) −2005.13 903.433i −0.113579 0.0511743i
\(679\) 29367.2 15880.1i 1.65981 0.897530i
\(680\) 1714.88 3560.99i 0.0967099 0.200820i
\(681\) −408.229 4057.31i −0.0229712 0.228306i
\(682\) 8246.92 8888.06i 0.463036 0.499034i
\(683\) −6696.57 501.839i −0.375164 0.0281147i −0.114186 0.993459i \(-0.536426\pi\)
−0.260978 + 0.965345i \(0.584045\pi\)
\(684\) 9524.27 15624.0i 0.532412 0.873391i
\(685\) 17049.6i 0.950997i
\(686\) 9553.07 + 4705.35i 0.531688 + 0.261882i
\(687\) −12127.1 + 10187.1i −0.673474 + 0.565738i
\(688\) 160.938 410.063i 0.00891817 0.0227231i
\(689\) −1230.31 + 16417.4i −0.0680279 + 0.907769i
\(690\) 436.583 8844.58i 0.0240876 0.487982i
\(691\) 5617.08 8238.74i 0.309239 0.453570i −0.639886 0.768470i \(-0.721019\pi\)
0.949125 + 0.314900i \(0.101971\pi\)
\(692\) 2430.87 + 1170.65i 0.133538 + 0.0643083i
\(693\) −4226.00 12656.2i −0.231648 0.693753i
\(694\) −11844.5 + 5704.00i −0.647854 + 0.311990i
\(695\) −488.486 + 3240.89i −0.0266609 + 0.176884i
\(696\) 3247.02 + 911.659i 0.176836 + 0.0496499i
\(697\) −177.555 + 26.7621i −0.00964904 + 0.00145436i
\(698\) 15900.5 14753.6i 0.862241 0.800043i
\(699\) −10990.5 2215.55i −0.594707 0.119885i
\(700\) −6970.38 + 852.578i −0.376365 + 0.0460349i
\(701\) 3130.61 + 2496.58i 0.168676 + 0.134514i 0.704189 0.710012i \(-0.251311\pi\)
−0.535514 + 0.844526i \(0.679882\pi\)
\(702\) 3063.68 + 4477.85i 0.164717 + 0.240749i
\(703\) 2263.71 7338.75i 0.121447 0.393722i
\(704\) 6318.41 + 3647.94i 0.338259 + 0.195294i
\(705\) 4943.00 13603.8i 0.264062 0.726738i
\(706\) 14461.5 3300.75i 0.770915 0.175956i
\(707\) −17494.5 + 7831.63i −0.930619 + 0.416604i
\(708\) 5178.72 2658.54i 0.274898 0.141121i
\(709\) 22674.0 6994.00i 1.20104 0.370473i 0.371244 0.928535i \(-0.378931\pi\)
0.829799 + 0.558063i \(0.188455\pi\)
\(710\) 4118.10 + 10492.8i 0.217676 + 0.554628i
\(711\) 979.547 199.131i 0.0516679 0.0105035i
\(712\) 2760.14 + 8948.15i 0.145282 + 0.470992i
\(713\) −8508.15 + 37276.6i −0.446890 + 1.95795i
\(714\) −1727.41 3609.24i −0.0905415 0.189177i
\(715\) 987.192 + 4325.17i 0.0516348 + 0.226227i
\(716\) 6795.84 3923.58i 0.354710 0.204792i
\(717\) −61.0120 344.917i −0.00317787 0.0179653i
\(718\) 18858.1 + 5816.95i 0.980192 + 0.302349i
\(719\) 1464.14 + 19537.6i 0.0759434 + 1.01339i 0.896851 + 0.442333i \(0.145849\pi\)
−0.820907 + 0.571061i \(0.806532\pi\)
\(720\) 573.988 + 648.980i 0.0297101 + 0.0335917i
\(721\) −20968.6 2160.86i −1.08309 0.111615i
\(722\) −13359.8 + 10654.1i −0.688641 + 0.549173i
\(723\) 1201.74 9632.24i 0.0618166 0.495473i
\(724\) −1713.00 11365.0i −0.0879326 0.583395i
\(725\) 1208.12 + 1771.99i 0.0618877 + 0.0907725i
\(726\) 4599.14 2813.92i 0.235110 0.143849i
\(727\) −4957.81 10295.0i −0.252923 0.525200i 0.735389 0.677645i \(-0.236999\pi\)
−0.988312 + 0.152445i \(0.951285\pi\)
\(728\) −442.991 9436.50i −0.0225526 0.480412i
\(729\) −16226.5 + 11140.9i −0.824392 + 0.566019i
\(730\) 3691.71 + 2516.97i 0.187173 + 0.127612i
\(731\) 1798.86 + 1669.10i 0.0910169 + 0.0844513i
\(732\) −3099.44 4306.10i −0.156501 0.217429i
\(733\) 14206.8 + 5575.76i 0.715881 + 0.280962i 0.695193 0.718824i \(-0.255319\pi\)
0.0206881 + 0.999786i \(0.493414\pi\)
\(734\) 15824.0 0.795742
\(735\) 6756.43 10924.2i 0.339067 0.548223i
\(736\) −26004.8 −1.30238
\(737\) 5540.85 + 2174.62i 0.276933 + 0.108688i
\(738\) −80.5089 + 317.626i −0.00401568 + 0.0158428i
\(739\) −4414.69 4096.23i −0.219752 0.203900i 0.562613 0.826721i \(-0.309796\pi\)
−0.782365 + 0.622820i \(0.785987\pi\)
\(740\) 1817.49 + 1239.14i 0.0902866 + 0.0615564i
\(741\) 3870.86 + 15167.3i 0.191903 + 0.751935i
\(742\) −17951.4 12986.8i −0.888161 0.642536i
\(743\) 2476.05 + 5141.58i 0.122258 + 0.253871i 0.953111 0.302620i \(-0.0978615\pi\)
−0.830853 + 0.556492i \(0.812147\pi\)
\(744\) 16253.0 + 26564.3i 0.800891 + 1.30900i
\(745\) 12985.7 + 19046.5i 0.638603 + 0.936658i
\(746\) 1187.73 + 7880.08i 0.0582921 + 0.386743i
\(747\) −1171.32 1809.23i −0.0573713 0.0886160i
\(748\) 2685.45 2141.58i 0.131270 0.104684i
\(749\) −21147.9 + 7626.48i −1.03168 + 0.372050i
\(750\) −316.752 12429.6i −0.0154215 0.605151i
\(751\) −1017.09 13572.2i −0.0494198 0.659461i −0.965823 0.259204i \(-0.916540\pi\)
0.916403 0.400257i \(-0.131079\pi\)
\(752\) −1644.47 507.252i −0.0797442 0.0245978i
\(753\) 21825.3 3860.65i 1.05625 0.186839i
\(754\) −983.120 + 567.605i −0.0474843 + 0.0274150i
\(755\) 1495.97 + 6554.28i 0.0721112 + 0.315940i
\(756\) 13468.9 654.361i 0.647961 0.0314800i
\(757\) −8319.70 + 36451.0i −0.399451 + 1.75011i 0.230116 + 0.973163i \(0.426090\pi\)
−0.629567 + 0.776946i \(0.716768\pi\)
\(758\) −2894.22 9382.83i −0.138684 0.449604i
\(759\) 9344.58 17181.8i 0.446887 0.821687i
\(760\) −7602.31 19370.4i −0.362849 0.924523i
\(761\) −37542.3 + 11580.3i −1.78832 + 0.551622i −0.998123 0.0612363i \(-0.980496\pi\)
−0.790193 + 0.612859i \(0.790019\pi\)
\(762\) 10847.6 + 21130.7i 0.515706 + 1.00457i
\(763\) −19424.1 25801.6i −0.921627 1.22422i
\(764\) 16723.6 3817.06i 0.791937 0.180754i
\(765\) −4533.48 + 1655.65i −0.214259 + 0.0782485i
\(766\) −17451.9 10075.9i −0.823191 0.475270i
\(767\) −1467.84 + 4758.63i −0.0691014 + 0.224021i
\(768\) −14467.0 + 14126.1i −0.679732 + 0.663715i
\(769\) 14618.2 + 11657.6i 0.685495 + 0.546664i 0.903130 0.429366i \(-0.141263\pi\)
−0.217636 + 0.976030i \(0.569835\pi\)
\(770\) −5653.96 1918.25i −0.264616 0.0897779i
\(771\) −5547.60 + 27519.6i −0.259133 + 1.28547i