Properties

Label 74.4.f.a.9.4
Level $74$
Weight $4$
Character 74.9
Analytic conductor $4.366$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.4
Character \(\chi\) \(=\) 74.9
Dual form 74.4.f.a.33.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.347296 - 1.96962i) q^{2} +(1.09285 - 6.19786i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-4.09539 - 3.43644i) q^{5} -12.5869 q^{6} +(-9.53718 - 8.00265i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-11.8474 - 4.31210i) q^{9} +O(q^{10})\) \(q+(-0.347296 - 1.96962i) q^{2} +(1.09285 - 6.19786i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(-4.09539 - 3.43644i) q^{5} -12.5869 q^{6} +(-9.53718 - 8.00265i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-11.8474 - 4.31210i) q^{9} +(-5.34616 + 9.25982i) q^{10} +(1.97582 + 3.42221i) q^{11} +(4.37140 + 24.7914i) q^{12} +(-17.2883 + 6.29244i) q^{13} +(-12.4499 + 21.5639i) q^{14} +(-25.7742 + 21.6272i) q^{15} +(12.2567 - 10.2846i) q^{16} +(-38.2570 - 13.9244i) q^{17} +(-4.37862 + 24.8324i) q^{18} +(10.3916 - 58.9337i) q^{19} +(20.0950 + 7.31398i) q^{20} +(-60.0220 + 50.3644i) q^{21} +(6.05425 - 5.08012i) q^{22} +(33.3338 - 57.7358i) q^{23} +(47.3114 - 17.2199i) q^{24} +(-16.7429 - 94.9538i) q^{25} +(18.3979 + 31.8660i) q^{26} +(45.2886 - 78.4422i) q^{27} +(46.7964 + 17.0325i) q^{28} +(7.55458 + 13.0849i) q^{29} +(51.5485 + 43.2543i) q^{30} +186.847 q^{31} +(-24.5134 - 20.5692i) q^{32} +(23.3697 - 8.50586i) q^{33} +(-14.1392 + 80.1874i) q^{34} +(11.5579 + 65.5480i) q^{35} +50.4310 q^{36} +(200.465 - 102.306i) q^{37} -119.686 q^{38} +(20.1061 + 114.027i) q^{39} +(7.42681 - 42.1195i) q^{40} +(-115.413 + 42.0070i) q^{41} +(120.044 + 100.729i) q^{42} +257.678 q^{43} +(-12.1085 - 10.1602i) q^{44} +(33.7015 + 58.3727i) q^{45} +(-125.294 - 45.6033i) q^{46} +(87.2301 - 151.087i) q^{47} +(-50.3477 - 87.2049i) q^{48} +(-32.6458 - 185.144i) q^{49} +(-181.208 + 65.9542i) q^{50} +(-128.111 + 221.894i) q^{51} +(56.3743 - 47.3037i) q^{52} +(-118.290 + 99.2572i) q^{53} +(-170.229 - 61.9585i) q^{54} +(3.66850 - 20.8051i) q^{55} +(17.2952 - 98.0861i) q^{56} +(-353.906 - 128.811i) q^{57} +(23.1486 - 19.4240i) q^{58} +(-407.912 + 342.278i) q^{59} +(67.2918 - 116.553i) q^{60} +(-463.288 + 168.623i) q^{61} +(-64.8912 - 368.016i) q^{62} +(78.4827 + 135.936i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(92.4262 + 33.6404i) q^{65} +(-24.8695 - 43.0752i) q^{66} +(401.502 + 336.900i) q^{67} +162.849 q^{68} +(-321.409 - 269.695i) q^{69} +(125.090 - 45.5292i) q^{70} +(-139.162 + 789.225i) q^{71} +(-17.5145 - 99.3297i) q^{72} +416.183 q^{73} +(-271.125 - 359.309i) q^{74} -606.807 q^{75} +(41.5664 + 235.735i) q^{76} +(8.54305 - 48.4500i) q^{77} +(217.607 - 79.2025i) q^{78} +(540.281 + 453.350i) q^{79} -85.5385 q^{80} +(-697.448 - 585.228i) q^{81} +(122.820 + 212.731i) q^{82} +(-308.407 - 112.251i) q^{83} +(156.706 - 271.423i) q^{84} +(108.827 + 188.494i) q^{85} +(-89.4906 - 507.526i) q^{86} +(89.3545 - 32.5224i) q^{87} +(-15.8065 + 27.3777i) q^{88} +(474.785 - 398.392i) q^{89} +(103.267 - 86.6516i) q^{90} +(215.238 + 78.3403i) q^{91} +(-46.3068 + 262.619i) q^{92} +(204.195 - 1158.05i) q^{93} +(-327.878 - 119.338i) q^{94} +(-245.080 + 205.647i) q^{95} +(-154.274 + 129.452i) q^{96} +(811.574 - 1405.69i) q^{97} +(-353.324 + 128.599i) q^{98} +(-8.65135 - 49.0643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9} + 6 q^{10} + 87 q^{11} + 24 q^{12} - 45 q^{13} + 6 q^{14} - 141 q^{15} + 120 q^{17} - 192 q^{18} - 177 q^{19} - 36 q^{20} + 159 q^{21} - 42 q^{22} + 45 q^{23} - 48 q^{24} - 321 q^{25} + 150 q^{26} + 435 q^{27} + 96 q^{28} - 153 q^{29} + 282 q^{30} + 1002 q^{31} - 210 q^{33} - 456 q^{34} + 3 q^{35} + 216 q^{36} - 1239 q^{37} + 780 q^{38} - 474 q^{39} - 144 q^{40} - 1437 q^{41} - 318 q^{42} + 504 q^{43} + 84 q^{44} - 171 q^{45} + 714 q^{46} + 396 q^{47} + 144 q^{48} + 399 q^{49} - 1212 q^{50} - 972 q^{51} + 504 q^{52} + 1173 q^{53} + 360 q^{54} + 1755 q^{55} - 408 q^{56} - 3525 q^{57} + 24 q^{58} + 1260 q^{59} - 108 q^{60} + 2946 q^{61} - 1380 q^{62} + 2514 q^{63} - 768 q^{64} + 1599 q^{65} - 252 q^{66} - 645 q^{67} + 1200 q^{68} - 5037 q^{69} - 366 q^{70} - 753 q^{71} - 768 q^{72} - 876 q^{73} - 1338 q^{74} + 6960 q^{75} - 708 q^{76} + 1197 q^{77} - 1590 q^{78} - 3276 q^{79} + 96 q^{80} + 36 q^{81} - 216 q^{82} - 1110 q^{83} + 504 q^{84} + 1992 q^{85} - 192 q^{86} + 1125 q^{87} - 696 q^{88} + 3045 q^{89} + 4590 q^{90} + 5046 q^{91} + 2604 q^{92} - 4917 q^{93} + 78 q^{94} + 2274 q^{95} + 384 q^{96} - 624 q^{97} + 1902 q^{98} - 5904 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.347296 1.96962i −0.122788 0.696364i
\(3\) 1.09285 6.19786i 0.210319 1.19278i −0.678528 0.734574i \(-0.737382\pi\)
0.888847 0.458204i \(-0.151507\pi\)
\(4\) −3.75877 + 1.36808i −0.469846 + 0.171010i
\(5\) −4.09539 3.43644i −0.366303 0.307365i 0.440994 0.897510i \(-0.354626\pi\)
−0.807297 + 0.590145i \(0.799070\pi\)
\(6\) −12.5869 −0.856433
\(7\) −9.53718 8.00265i −0.514960 0.432102i 0.347911 0.937528i \(-0.386891\pi\)
−0.862870 + 0.505425i \(0.831336\pi\)
\(8\) 4.00000 + 6.92820i 0.176777 + 0.306186i
\(9\) −11.8474 4.31210i −0.438793 0.159708i
\(10\) −5.34616 + 9.25982i −0.169060 + 0.292821i
\(11\) 1.97582 + 3.42221i 0.0541573 + 0.0938033i 0.891833 0.452365i \(-0.149419\pi\)
−0.837676 + 0.546168i \(0.816086\pi\)
\(12\) 4.37140 + 24.7914i 0.105159 + 0.596389i
\(13\) −17.2883 + 6.29244i −0.368840 + 0.134247i −0.519789 0.854295i \(-0.673989\pi\)
0.150949 + 0.988542i \(0.451767\pi\)
\(14\) −12.4499 + 21.5639i −0.237670 + 0.411656i
\(15\) −25.7742 + 21.6272i −0.443659 + 0.372274i
\(16\) 12.2567 10.2846i 0.191511 0.160697i
\(17\) −38.2570 13.9244i −0.545805 0.198657i 0.0543769 0.998520i \(-0.482683\pi\)
−0.600181 + 0.799864i \(0.704905\pi\)
\(18\) −4.37862 + 24.8324i −0.0573362 + 0.325170i
\(19\) 10.3916 58.9337i 0.125474 0.711596i −0.855552 0.517717i \(-0.826782\pi\)
0.981025 0.193879i \(-0.0621068\pi\)
\(20\) 20.0950 + 7.31398i 0.224669 + 0.0817727i
\(21\) −60.0220 + 50.3644i −0.623708 + 0.523353i
\(22\) 6.05425 5.08012i 0.0586714 0.0492311i
\(23\) 33.3338 57.7358i 0.302199 0.523424i −0.674435 0.738334i \(-0.735613\pi\)
0.976634 + 0.214910i \(0.0689460\pi\)
\(24\) 47.3114 17.2199i 0.402392 0.146459i
\(25\) −16.7429 94.9538i −0.133943 0.759630i
\(26\) 18.3979 + 31.8660i 0.138774 + 0.240363i
\(27\) 45.2886 78.4422i 0.322807 0.559118i
\(28\) 46.7964 + 17.0325i 0.315846 + 0.114958i
\(29\) 7.55458 + 13.0849i 0.0483742 + 0.0837865i 0.889199 0.457521i \(-0.151263\pi\)
−0.840824 + 0.541308i \(0.817929\pi\)
\(30\) 51.5485 + 43.2543i 0.313714 + 0.263237i
\(31\) 186.847 1.08254 0.541269 0.840850i \(-0.317944\pi\)
0.541269 + 0.840850i \(0.317944\pi\)
\(32\) −24.5134 20.5692i −0.135419 0.113630i
\(33\) 23.3697 8.50586i 0.123277 0.0448691i
\(34\) −14.1392 + 80.1874i −0.0713192 + 0.404471i
\(35\) 11.5579 + 65.5480i 0.0558182 + 0.316561i
\(36\) 50.4310 0.233477
\(37\) 200.465 102.306i 0.890711 0.454570i
\(38\) −119.686 −0.510936
\(39\) 20.1061 + 114.027i 0.0825526 + 0.468179i
\(40\) 7.42681 42.1195i 0.0293570 0.166492i
\(41\) −115.413 + 42.0070i −0.439623 + 0.160010i −0.552343 0.833617i \(-0.686266\pi\)
0.112720 + 0.993627i \(0.464044\pi\)
\(42\) 120.044 + 100.729i 0.441028 + 0.370067i
\(43\) 257.678 0.913849 0.456925 0.889505i \(-0.348951\pi\)
0.456925 + 0.889505i \(0.348951\pi\)
\(44\) −12.1085 10.1602i −0.0414869 0.0348117i
\(45\) 33.7015 + 58.3727i 0.111643 + 0.193371i
\(46\) −125.294 45.6033i −0.401600 0.146170i
\(47\) 87.2301 151.087i 0.270720 0.468900i −0.698327 0.715779i \(-0.746072\pi\)
0.969046 + 0.246879i \(0.0794050\pi\)
\(48\) −50.3477 87.2049i −0.151397 0.262228i
\(49\) −32.6458 185.144i −0.0951773 0.539777i
\(50\) −181.208 + 65.9542i −0.512533 + 0.186547i
\(51\) −128.111 + 221.894i −0.351746 + 0.609243i
\(52\) 56.3743 47.3037i 0.150341 0.126151i
\(53\) −118.290 + 99.2572i −0.306573 + 0.257246i −0.783074 0.621928i \(-0.786349\pi\)
0.476501 + 0.879174i \(0.341905\pi\)
\(54\) −170.229 61.9585i −0.428987 0.156138i
\(55\) 3.66850 20.8051i 0.00899382 0.0510065i
\(56\) 17.2952 98.0861i 0.0412709 0.234059i
\(57\) −353.906 128.811i −0.822386 0.299324i
\(58\) 23.1486 19.4240i 0.0524062 0.0439740i
\(59\) −407.912 + 342.278i −0.900094 + 0.755269i −0.970209 0.242270i \(-0.922108\pi\)
0.0701146 + 0.997539i \(0.477663\pi\)
\(60\) 67.2918 116.553i 0.144789 0.250782i
\(61\) −463.288 + 168.623i −0.972424 + 0.353934i −0.778890 0.627160i \(-0.784217\pi\)
−0.193534 + 0.981094i \(0.561995\pi\)
\(62\) −64.8912 368.016i −0.132922 0.753840i
\(63\) 78.4827 + 135.936i 0.156951 + 0.271846i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) 92.4262 + 33.6404i 0.176370 + 0.0641935i
\(66\) −24.8695 43.0752i −0.0463821 0.0803362i
\(67\) 401.502 + 336.900i 0.732109 + 0.614312i 0.930706 0.365769i \(-0.119194\pi\)
−0.198597 + 0.980081i \(0.563638\pi\)
\(68\) 162.849 0.290417
\(69\) −321.409 269.695i −0.560770 0.470542i
\(70\) 125.090 45.5292i 0.213588 0.0777397i
\(71\) −139.162 + 789.225i −0.232612 + 1.31921i 0.614973 + 0.788548i \(0.289167\pi\)
−0.847585 + 0.530660i \(0.821944\pi\)
\(72\) −17.5145 99.3297i −0.0286681 0.162585i
\(73\) 416.183 0.667267 0.333634 0.942703i \(-0.391725\pi\)
0.333634 + 0.942703i \(0.391725\pi\)
\(74\) −271.125 359.309i −0.425915 0.564444i
\(75\) −606.807 −0.934241
\(76\) 41.5664 + 235.735i 0.0627368 + 0.355798i
\(77\) 8.54305 48.4500i 0.0126438 0.0717064i
\(78\) 217.607 79.2025i 0.315887 0.114973i
\(79\) 540.281 + 453.350i 0.769448 + 0.645643i 0.940567 0.339607i \(-0.110294\pi\)
−0.171120 + 0.985250i \(0.554738\pi\)
\(80\) −85.5385 −0.119544
\(81\) −697.448 585.228i −0.956719 0.802783i
\(82\) 122.820 + 212.731i 0.165405 + 0.286490i
\(83\) −308.407 112.251i −0.407856 0.148448i 0.129941 0.991522i \(-0.458521\pi\)
−0.537797 + 0.843074i \(0.680743\pi\)
\(84\) 156.706 271.423i 0.203548 0.352556i
\(85\) 108.827 + 188.494i 0.138870 + 0.240530i
\(86\) −89.4906 507.526i −0.112210 0.636372i
\(87\) 89.3545 32.5224i 0.110113 0.0400777i
\(88\) −15.8065 + 27.3777i −0.0191475 + 0.0331645i
\(89\) 474.785 398.392i 0.565473 0.474488i −0.314667 0.949202i \(-0.601893\pi\)
0.880140 + 0.474714i \(0.157448\pi\)
\(90\) 103.267 86.6516i 0.120948 0.101488i
\(91\) 215.238 + 78.3403i 0.247946 + 0.0902450i
\(92\) −46.3068 + 262.619i −0.0524763 + 0.297608i
\(93\) 204.195 1158.05i 0.227678 1.29123i
\(94\) −327.878 119.338i −0.359766 0.130944i
\(95\) −245.080 + 205.647i −0.264681 + 0.222094i
\(96\) −154.274 + 129.452i −0.164016 + 0.137626i
\(97\) 811.574 1405.69i 0.849514 1.47140i −0.0321287 0.999484i \(-0.510229\pi\)
0.881643 0.471918i \(-0.156438\pi\)
\(98\) −353.324 + 128.599i −0.364195 + 0.132556i
\(99\) −8.65135 49.0643i −0.00878276 0.0498095i
\(100\) 192.837 + 334.004i 0.192837 + 0.334004i
\(101\) −101.566 + 175.917i −0.100061 + 0.173311i −0.911710 0.410835i \(-0.865237\pi\)
0.811648 + 0.584146i \(0.198571\pi\)
\(102\) 481.538 + 175.266i 0.467445 + 0.170136i
\(103\) 1019.90 + 1766.51i 0.975665 + 1.68990i 0.677722 + 0.735318i \(0.262967\pi\)
0.297943 + 0.954584i \(0.403700\pi\)
\(104\) −112.749 94.6073i −0.106307 0.0892020i
\(105\) 418.888 0.389327
\(106\) 236.580 + 198.514i 0.216780 + 0.181900i
\(107\) 878.828 319.867i 0.794014 0.288998i 0.0870106 0.996207i \(-0.472269\pi\)
0.707004 + 0.707210i \(0.250046\pi\)
\(108\) −62.9143 + 356.804i −0.0560549 + 0.317903i
\(109\) 218.565 + 1239.54i 0.192062 + 1.08924i 0.916541 + 0.399941i \(0.130969\pi\)
−0.724479 + 0.689297i \(0.757920\pi\)
\(110\) −42.2521 −0.0366234
\(111\) −415.002 1354.26i −0.354867 1.15803i
\(112\) −199.199 −0.168058
\(113\) 153.012 + 867.775i 0.127382 + 0.722419i 0.979864 + 0.199664i \(0.0639849\pi\)
−0.852482 + 0.522756i \(0.824904\pi\)
\(114\) −130.798 + 741.795i −0.107460 + 0.609434i
\(115\) −334.921 + 121.901i −0.271579 + 0.0988465i
\(116\) −46.2972 38.8479i −0.0370567 0.0310943i
\(117\) 231.956 0.183285
\(118\) 815.823 + 684.557i 0.636463 + 0.534056i
\(119\) 253.432 + 438.957i 0.195227 + 0.338144i
\(120\) −252.934 92.0605i −0.192414 0.0700328i
\(121\) 657.692 1139.16i 0.494134 0.855865i
\(122\) 493.020 + 853.936i 0.365869 + 0.633703i
\(123\) 134.224 + 761.223i 0.0983950 + 0.558026i
\(124\) −702.314 + 255.621i −0.508626 + 0.185125i
\(125\) −591.869 + 1025.15i −0.423507 + 0.733536i
\(126\) 240.485 201.791i 0.170032 0.142674i
\(127\) 1133.47 951.093i 0.791961 0.664534i −0.154269 0.988029i \(-0.549302\pi\)
0.946230 + 0.323495i \(0.104858\pi\)
\(128\) 120.281 + 43.7786i 0.0830579 + 0.0302306i
\(129\) 281.603 1597.05i 0.192200 1.09002i
\(130\) 34.1593 193.727i 0.0230459 0.130700i
\(131\) −1661.50 604.737i −1.10814 0.403329i −0.277827 0.960631i \(-0.589614\pi\)
−0.830310 + 0.557302i \(0.811837\pi\)
\(132\) −76.2045 + 63.9431i −0.0502481 + 0.0421631i
\(133\) −570.732 + 478.901i −0.372096 + 0.312226i
\(134\) 524.124 907.809i 0.337891 0.585245i
\(135\) −455.037 + 165.620i −0.290099 + 0.105587i
\(136\) −56.5568 320.750i −0.0356596 0.202236i
\(137\) −1092.64 1892.52i −0.681394 1.18021i −0.974556 0.224146i \(-0.928041\pi\)
0.293162 0.956063i \(-0.405292\pi\)
\(138\) −419.570 + 726.717i −0.258813 + 0.448277i
\(139\) −671.266 244.321i −0.409612 0.149087i 0.128992 0.991646i \(-0.458826\pi\)
−0.538604 + 0.842559i \(0.681048\pi\)
\(140\) −133.118 230.568i −0.0803611 0.139190i
\(141\) −841.086 705.755i −0.502356 0.421527i
\(142\) 1602.80 0.947212
\(143\) −55.6926 46.7317i −0.0325682 0.0273280i
\(144\) −189.559 + 68.9937i −0.109698 + 0.0399269i
\(145\) 14.0266 79.5488i 0.00803342 0.0455598i
\(146\) −144.539 819.720i −0.0819323 0.464661i
\(147\) −1183.17 −0.663852
\(148\) −613.540 + 658.799i −0.340761 + 0.365898i
\(149\) −876.662 −0.482006 −0.241003 0.970524i \(-0.577476\pi\)
−0.241003 + 0.970524i \(0.577476\pi\)
\(150\) 210.742 + 1195.18i 0.114713 + 0.650572i
\(151\) 8.46896 48.0299i 0.00456420 0.0258849i −0.982441 0.186576i \(-0.940261\pi\)
0.987005 + 0.160691i \(0.0513722\pi\)
\(152\) 449.871 163.740i 0.240062 0.0873753i
\(153\) 393.202 + 329.936i 0.207768 + 0.174338i
\(154\) −98.3949 −0.0514863
\(155\) −765.211 642.088i −0.396537 0.332734i
\(156\) −231.573 401.096i −0.118850 0.205855i
\(157\) −2995.57 1090.30i −1.52275 0.554237i −0.560921 0.827870i \(-0.689553\pi\)
−0.961834 + 0.273632i \(0.911775\pi\)
\(158\) 705.287 1221.59i 0.355124 0.615093i
\(159\) 485.908 + 841.618i 0.242359 + 0.419778i
\(160\) 29.7072 + 168.478i 0.0146785 + 0.0832460i
\(161\) −779.950 + 283.879i −0.381793 + 0.138961i
\(162\) −910.454 + 1576.95i −0.441556 + 0.764797i
\(163\) 2575.47 2161.07i 1.23758 1.03846i 0.239875 0.970804i \(-0.422894\pi\)
0.997709 0.0676521i \(-0.0215508\pi\)
\(164\) 376.343 315.790i 0.179192 0.150360i
\(165\) −124.938 45.4737i −0.0589479 0.0214553i
\(166\) −113.983 + 646.428i −0.0532938 + 0.302244i
\(167\) 312.888 1774.48i 0.144982 0.822234i −0.822399 0.568911i \(-0.807365\pi\)
0.967382 0.253324i \(-0.0815238\pi\)
\(168\) −589.023 214.387i −0.270501 0.0984542i
\(169\) −1423.71 + 1194.63i −0.648024 + 0.543756i
\(170\) 333.465 279.811i 0.150445 0.126238i
\(171\) −377.242 + 653.402i −0.168704 + 0.292204i
\(172\) −968.552 + 352.524i −0.429369 + 0.156277i
\(173\) 537.315 + 3047.27i 0.236135 + 1.33919i 0.840211 + 0.542260i \(0.182431\pi\)
−0.604076 + 0.796927i \(0.706458\pi\)
\(174\) −95.0890 164.699i −0.0414292 0.0717575i
\(175\) −600.201 + 1039.58i −0.259263 + 0.449056i
\(176\) 59.4131 + 21.6246i 0.0254456 + 0.00926145i
\(177\) 1675.61 + 2902.24i 0.711561 + 1.23246i
\(178\) −949.570 796.784i −0.399850 0.335514i
\(179\) 1616.63 0.675042 0.337521 0.941318i \(-0.390412\pi\)
0.337521 + 0.941318i \(0.390412\pi\)
\(180\) −206.535 173.303i −0.0855233 0.0717626i
\(181\) −327.432 + 119.175i −0.134463 + 0.0489405i −0.408375 0.912814i \(-0.633904\pi\)
0.273912 + 0.961755i \(0.411682\pi\)
\(182\) 79.5488 451.144i 0.0323986 0.183742i
\(183\) 538.797 + 3055.67i 0.217645 + 1.23433i
\(184\) 533.341 0.213687
\(185\) −1172.56 269.903i −0.465989 0.107263i
\(186\) −2351.83 −0.927121
\(187\) −27.9365 158.436i −0.0109247 0.0619570i
\(188\) −121.179 + 687.239i −0.0470100 + 0.266607i
\(189\) −1059.67 + 385.689i −0.407829 + 0.148438i
\(190\) 490.160 + 411.293i 0.187158 + 0.157044i
\(191\) 4920.23 1.86395 0.931977 0.362518i \(-0.118083\pi\)
0.931977 + 0.362518i \(0.118083\pi\)
\(192\) 308.549 + 258.903i 0.115977 + 0.0973163i
\(193\) 699.893 + 1212.25i 0.261033 + 0.452123i 0.966517 0.256604i \(-0.0826035\pi\)
−0.705484 + 0.708726i \(0.749270\pi\)
\(194\) −3050.52 1110.30i −1.12894 0.410901i
\(195\) 309.506 536.080i 0.113663 0.196869i
\(196\) 375.999 + 651.250i 0.137026 + 0.237336i
\(197\) 85.1037 + 482.647i 0.0307786 + 0.174554i 0.996322 0.0856878i \(-0.0273088\pi\)
−0.965543 + 0.260242i \(0.916198\pi\)
\(198\) −93.6331 + 34.0797i −0.0336072 + 0.0122320i
\(199\) 127.550 220.923i 0.0454360 0.0786975i −0.842413 0.538832i \(-0.818866\pi\)
0.887849 + 0.460135i \(0.152199\pi\)
\(200\) 590.887 495.813i 0.208910 0.175297i
\(201\) 2526.84 2120.27i 0.886715 0.744042i
\(202\) 381.763 + 138.950i 0.132974 + 0.0483986i
\(203\) 32.6646 185.250i 0.0112936 0.0640492i
\(204\) 177.969 1009.31i 0.0610801 0.346403i
\(205\) 617.018 + 224.576i 0.210217 + 0.0765126i
\(206\) 3125.15 2622.31i 1.05699 0.886918i
\(207\) −643.882 + 540.281i −0.216197 + 0.181411i
\(208\) −147.183 + 254.928i −0.0490639 + 0.0849812i
\(209\) 222.216 80.8798i 0.0735453 0.0267683i
\(210\) −145.478 825.049i −0.0478046 0.271113i
\(211\) −1141.81 1977.67i −0.372536 0.645252i 0.617419 0.786635i \(-0.288178\pi\)
−0.989955 + 0.141383i \(0.954845\pi\)
\(212\) 308.833 534.915i 0.100051 0.173293i
\(213\) 4739.42 + 1725.01i 1.52460 + 0.554909i
\(214\) −935.229 1619.86i −0.298743 0.517438i
\(215\) −1055.29 885.496i −0.334746 0.280885i
\(216\) 724.618 0.228259
\(217\) −1781.99 1495.27i −0.557463 0.467767i
\(218\) 2365.52 860.979i 0.734923 0.267490i
\(219\) 454.825 2579.44i 0.140339 0.795902i
\(220\) 14.6740 + 83.2204i 0.00449691 + 0.0255033i
\(221\) 749.018 0.227984
\(222\) −2523.25 + 1287.72i −0.762834 + 0.389308i
\(223\) −92.9351 −0.0279076 −0.0139538 0.999903i \(-0.504442\pi\)
−0.0139538 + 0.999903i \(0.504442\pi\)
\(224\) 69.1809 + 392.345i 0.0206355 + 0.117030i
\(225\) −211.090 + 1197.15i −0.0625453 + 0.354712i
\(226\) 1656.04 602.750i 0.487426 0.177409i
\(227\) −2197.76 1844.14i −0.642600 0.539205i 0.262216 0.965009i \(-0.415547\pi\)
−0.904815 + 0.425804i \(0.859991\pi\)
\(228\) 1506.48 0.437583
\(229\) 344.430 + 289.011i 0.0993912 + 0.0833991i 0.691129 0.722731i \(-0.257114\pi\)
−0.591738 + 0.806130i \(0.701558\pi\)
\(230\) 356.415 + 617.330i 0.102180 + 0.176980i
\(231\) −290.950 105.897i −0.0828706 0.0301624i
\(232\) −60.4366 + 104.679i −0.0171028 + 0.0296230i
\(233\) 2584.72 + 4476.87i 0.726742 + 1.25875i 0.958253 + 0.285921i \(0.0922997\pi\)
−0.231511 + 0.972832i \(0.574367\pi\)
\(234\) −80.5573 456.863i −0.0225051 0.127633i
\(235\) −876.444 + 319.000i −0.243289 + 0.0885499i
\(236\) 1064.98 1844.60i 0.293747 0.508785i
\(237\) 3400.24 2853.14i 0.931939 0.781989i
\(238\) 776.560 651.611i 0.211500 0.177469i
\(239\) −750.188 273.046i −0.203036 0.0738991i 0.238500 0.971142i \(-0.423344\pi\)
−0.441536 + 0.897243i \(0.645566\pi\)
\(240\) −93.4807 + 530.156i −0.0251423 + 0.142589i
\(241\) 351.893 1995.69i 0.0940558 0.533417i −0.900977 0.433867i \(-0.857149\pi\)
0.995033 0.0995497i \(-0.0317402\pi\)
\(242\) −2472.11 899.776i −0.656667 0.239007i
\(243\) −2515.94 + 2111.13i −0.664188 + 0.557320i
\(244\) 1510.70 1267.63i 0.396364 0.332589i
\(245\) −502.538 + 870.422i −0.131045 + 0.226976i
\(246\) 1452.70 528.740i 0.376507 0.137037i
\(247\) 191.183 + 1084.25i 0.0492498 + 0.279309i
\(248\) 747.387 + 1294.51i 0.191367 + 0.331458i
\(249\) −1032.76 + 1788.79i −0.262845 + 0.455261i
\(250\) 2224.70 + 809.725i 0.562810 + 0.204846i
\(251\) 1566.12 + 2712.60i 0.393835 + 0.682143i 0.992952 0.118519i \(-0.0378147\pi\)
−0.599116 + 0.800662i \(0.704481\pi\)
\(252\) −480.970 403.581i −0.120231 0.100886i
\(253\) 263.446 0.0654652
\(254\) −2266.94 1902.19i −0.560001 0.469897i
\(255\) 1287.19 468.499i 0.316106 0.115053i
\(256\) 44.4539 252.111i 0.0108530 0.0615505i
\(257\) 1211.08 + 6868.37i 0.293950 + 1.66707i 0.671441 + 0.741058i \(0.265676\pi\)
−0.377492 + 0.926013i \(0.623213\pi\)
\(258\) −3243.38 −0.782650
\(259\) −2730.60 628.539i −0.655101 0.150793i
\(260\) −393.432 −0.0938446
\(261\) −33.0787 187.598i −0.00784490 0.0444906i
\(262\) −614.066 + 3482.54i −0.144798 + 0.821191i
\(263\) −7377.07 + 2685.03i −1.72962 + 0.629530i −0.998603 0.0528312i \(-0.983175\pi\)
−0.731015 + 0.682361i \(0.760953\pi\)
\(264\) 152.409 + 127.886i 0.0355308 + 0.0298138i
\(265\) 825.536 0.191367
\(266\) 1141.46 + 957.803i 0.263112 + 0.220777i
\(267\) −1950.31 3378.03i −0.447030 0.774278i
\(268\) −1970.06 717.044i −0.449032 0.163434i
\(269\) −1993.71 + 3453.21i −0.451891 + 0.782698i −0.998503 0.0546879i \(-0.982584\pi\)
0.546613 + 0.837385i \(0.315917\pi\)
\(270\) 484.240 + 838.728i 0.109148 + 0.189050i
\(271\) −348.938 1978.92i −0.0782157 0.443583i −0.998615 0.0526045i \(-0.983248\pi\)
0.920400 0.390979i \(-0.127863\pi\)
\(272\) −612.112 + 222.790i −0.136451 + 0.0496642i
\(273\) 720.765 1248.40i 0.159790 0.276764i
\(274\) −3348.06 + 2809.35i −0.738188 + 0.619413i
\(275\) 291.871 244.909i 0.0640018 0.0537039i
\(276\) 1577.07 + 574.006i 0.343943 + 0.125185i
\(277\) 483.872 2744.17i 0.104957 0.595240i −0.886281 0.463148i \(-0.846720\pi\)
0.991238 0.132091i \(-0.0421692\pi\)
\(278\) −248.090 + 1406.99i −0.0535232 + 0.303545i
\(279\) −2213.65 805.702i −0.475010 0.172889i
\(280\) −407.898 + 342.267i −0.0870593 + 0.0730514i
\(281\) −270.092 + 226.634i −0.0573392 + 0.0481133i −0.671007 0.741451i \(-0.734138\pi\)
0.613668 + 0.789564i \(0.289693\pi\)
\(282\) −1097.96 + 1901.72i −0.231853 + 0.401581i
\(283\) −970.213 + 353.129i −0.203792 + 0.0741743i −0.441900 0.897065i \(-0.645695\pi\)
0.238107 + 0.971239i \(0.423473\pi\)
\(284\) −556.647 3156.90i −0.116306 0.659604i
\(285\) 1006.73 + 1743.71i 0.209241 + 0.362416i
\(286\) −72.7016 + 125.923i −0.0150312 + 0.0260349i
\(287\) 1436.89 + 522.984i 0.295529 + 0.107564i
\(288\) 201.724 + 349.396i 0.0412733 + 0.0714874i
\(289\) −2493.87 2092.60i −0.507606 0.425932i
\(290\) −161.552 −0.0327126
\(291\) −7825.32 6566.22i −1.57639 1.32275i
\(292\) −1564.34 + 569.372i −0.313513 + 0.114109i
\(293\) 819.390 4646.99i 0.163376 0.926553i −0.787346 0.616511i \(-0.788546\pi\)
0.950723 0.310042i \(-0.100343\pi\)
\(294\) 410.911 + 2330.39i 0.0815129 + 0.462283i
\(295\) 2846.78 0.561851
\(296\) 1510.66 + 979.639i 0.296640 + 0.192366i
\(297\) 357.928 0.0699295
\(298\) 304.461 + 1726.69i 0.0591845 + 0.335652i
\(299\) −212.987 + 1207.91i −0.0411951 + 0.233629i
\(300\) 2280.85 830.161i 0.438950 0.159765i
\(301\) −2457.52 2062.11i −0.470595 0.394876i
\(302\) −97.5416 −0.0185857
\(303\) 979.314 + 821.742i 0.185677 + 0.155802i
\(304\) −478.743 829.207i −0.0903217 0.156442i
\(305\) 2476.81 + 901.485i 0.464989 + 0.169242i
\(306\) 513.289 889.043i 0.0958915 0.166089i
\(307\) −4381.55 7589.06i −0.814554 1.41085i −0.909648 0.415380i \(-0.863648\pi\)
0.0950938 0.995468i \(-0.469685\pi\)
\(308\) 34.1722 + 193.800i 0.00632189 + 0.0358532i
\(309\) 12063.2 4390.65i 2.22088 0.808334i
\(310\) −998.912 + 1730.17i −0.183014 + 0.316990i
\(311\) 2494.77 2093.36i 0.454872 0.381683i −0.386368 0.922345i \(-0.626271\pi\)
0.841240 + 0.540662i \(0.181826\pi\)
\(312\) −709.580 + 595.408i −0.128757 + 0.108040i
\(313\) −3677.45 1338.48i −0.664095 0.241711i −0.0120916 0.999927i \(-0.503849\pi\)
−0.652003 + 0.758216i \(0.726071\pi\)
\(314\) −1107.12 + 6278.78i −0.198975 + 1.12845i
\(315\) 145.719 826.413i 0.0260645 0.147819i
\(316\) −2651.01 964.889i −0.471934 0.171770i
\(317\) −2092.63 + 1755.92i −0.370768 + 0.311112i −0.809065 0.587719i \(-0.800026\pi\)
0.438297 + 0.898830i \(0.355582\pi\)
\(318\) 1488.91 1249.34i 0.262559 0.220314i
\(319\) −29.8529 + 51.7068i −0.00523963 + 0.00907531i
\(320\) 321.520 117.024i 0.0561672 0.0204432i
\(321\) −1022.06 5796.42i −0.177714 1.00786i
\(322\) 830.005 + 1437.61i 0.143647 + 0.248804i
\(323\) −1218.17 + 2109.93i −0.209847 + 0.363466i
\(324\) 3422.19 + 1245.57i 0.586795 + 0.213576i
\(325\) 886.948 + 1536.24i 0.151382 + 0.262201i
\(326\) −5150.93 4322.15i −0.875104 0.734299i
\(327\) 7921.38 1.33961
\(328\) −752.687 631.579i −0.126708 0.106321i
\(329\) −2041.03 + 742.873i −0.342023 + 0.124486i
\(330\) −46.1752 + 261.872i −0.00770260 + 0.0436836i
\(331\) 692.828 + 3929.22i 0.115049 + 0.652476i 0.986726 + 0.162395i \(0.0519218\pi\)
−0.871677 + 0.490081i \(0.836967\pi\)
\(332\) 1312.80 0.217016
\(333\) −2816.15 + 347.639i −0.463436 + 0.0572086i
\(334\) −3603.70 −0.590377
\(335\) −486.571 2759.48i −0.0793558 0.450049i
\(336\) −217.694 + 1234.60i −0.0353458 + 0.200456i
\(337\) −10977.7 + 3995.55i −1.77446 + 0.645850i −0.774548 + 0.632516i \(0.782022\pi\)
−0.999911 + 0.0133346i \(0.995755\pi\)
\(338\) 2847.42 + 2389.27i 0.458222 + 0.384494i
\(339\) 5545.56 0.888477
\(340\) −666.930 559.621i −0.106381 0.0892639i
\(341\) 369.175 + 639.429i 0.0586274 + 0.101546i
\(342\) 1417.97 + 516.097i 0.224195 + 0.0816004i
\(343\) −3305.45 + 5725.21i −0.520343 + 0.901260i
\(344\) 1030.71 + 1785.25i 0.161547 + 0.279808i
\(345\) 389.508 + 2209.01i 0.0607838 + 0.344722i
\(346\) 5815.34 2116.61i 0.903568 0.328872i
\(347\) −56.9075 + 98.5667i −0.00880390 + 0.0152488i −0.870394 0.492356i \(-0.836136\pi\)
0.861590 + 0.507605i \(0.169469\pi\)
\(348\) −291.370 + 244.488i −0.0448823 + 0.0376608i
\(349\) 5050.12 4237.56i 0.774576 0.649946i −0.167301 0.985906i \(-0.553505\pi\)
0.941876 + 0.335960i \(0.109061\pi\)
\(350\) 2256.02 + 821.124i 0.344541 + 0.125403i
\(351\) −289.372 + 1641.11i −0.0440044 + 0.249561i
\(352\) 21.9582 124.531i 0.00332493 0.0188566i
\(353\) 7864.73 + 2862.53i 1.18583 + 0.431606i 0.858257 0.513220i \(-0.171548\pi\)
0.327572 + 0.944826i \(0.393770\pi\)
\(354\) 5134.36 4308.24i 0.770870 0.646837i
\(355\) 3282.05 2753.97i 0.490685 0.411734i
\(356\) −1239.58 + 2147.01i −0.184543 + 0.319638i
\(357\) 2997.55 1091.02i 0.444390 0.161745i
\(358\) −561.449 3184.14i −0.0828869 0.470075i
\(359\) 5046.62 + 8741.00i 0.741923 + 1.28505i 0.951619 + 0.307281i \(0.0994192\pi\)
−0.209696 + 0.977767i \(0.567247\pi\)
\(360\) −269.612 + 466.982i −0.0394717 + 0.0683669i
\(361\) 3080.16 + 1121.09i 0.449068 + 0.163447i
\(362\) 348.445 + 603.525i 0.0505908 + 0.0876259i
\(363\) −6341.57 5321.21i −0.916931 0.769397i
\(364\) −916.207 −0.131929
\(365\) −1704.43 1430.19i −0.244422 0.205095i
\(366\) 5831.37 2122.45i 0.832816 0.303120i
\(367\) 1347.05 7639.49i 0.191595 1.08659i −0.725590 0.688127i \(-0.758433\pi\)
0.917185 0.398462i \(-0.130456\pi\)
\(368\) −185.227 1050.48i −0.0262381 0.148804i
\(369\) 1548.49 0.218458
\(370\) −124.381 + 2403.22i −0.0174763 + 0.337669i
\(371\) 1922.47 0.269029
\(372\) 816.781 + 4632.20i 0.113839 + 0.645614i
\(373\) −1852.83 + 10507.9i −0.257201 + 1.45866i 0.533158 + 0.846016i \(0.321005\pi\)
−0.790359 + 0.612644i \(0.790106\pi\)
\(374\) −302.355 + 110.048i −0.0418032 + 0.0152151i
\(375\) 5706.90 + 4788.65i 0.785874 + 0.659427i
\(376\) 1395.68 0.191428
\(377\) −212.942 178.680i −0.0290904 0.0244097i
\(378\) 1127.68 + 1953.20i 0.153443 + 0.265771i
\(379\) −2932.92 1067.50i −0.397504 0.144680i 0.135530 0.990773i \(-0.456726\pi\)
−0.533035 + 0.846093i \(0.678948\pi\)
\(380\) 639.859 1108.27i 0.0863791 0.149613i
\(381\) −4656.03 8064.48i −0.626078 1.08440i
\(382\) −1708.78 9690.96i −0.228871 1.29799i
\(383\) 10377.1 3776.97i 1.38446 0.503901i 0.460930 0.887437i \(-0.347516\pi\)
0.923526 + 0.383536i \(0.125294\pi\)
\(384\) 402.782 697.639i 0.0535270 0.0927115i
\(385\) −201.483 + 169.064i −0.0266715 + 0.0223800i
\(386\) 2144.60 1799.53i 0.282790 0.237289i
\(387\) −3052.82 1111.13i −0.400990 0.145949i
\(388\) −1127.43 + 6393.95i −0.147517 + 0.836608i
\(389\) 444.099 2518.61i 0.0578836 0.328274i −0.942091 0.335356i \(-0.891143\pi\)
0.999975 + 0.00708221i \(0.00225436\pi\)
\(390\) −1163.36 423.429i −0.151049 0.0549774i
\(391\) −2079.19 + 1744.64i −0.268923 + 0.225653i
\(392\) 1152.13 966.751i 0.148447 0.124562i
\(393\) −5563.84 + 9636.86i −0.714144 + 1.23693i
\(394\) 921.073 335.243i 0.117774 0.0428663i
\(395\) −654.754 3713.29i −0.0834031 0.473002i
\(396\) 99.6423 + 172.586i 0.0126445 + 0.0219009i
\(397\) 1746.70 3025.37i 0.220817 0.382466i −0.734239 0.678891i \(-0.762461\pi\)
0.955056 + 0.296425i \(0.0957943\pi\)
\(398\) −479.431 174.499i −0.0603811 0.0219769i
\(399\) 2344.44 + 4060.68i 0.294157 + 0.509495i
\(400\) −1181.77 991.627i −0.147722 0.123953i
\(401\) −8291.16 −1.03252 −0.516260 0.856432i \(-0.672676\pi\)
−0.516260 + 0.856432i \(0.672676\pi\)
\(402\) −5053.68 4240.54i −0.627002 0.526117i
\(403\) −3230.27 + 1175.72i −0.399283 + 0.145327i
\(404\) 141.094 800.183i 0.0173755 0.0985411i
\(405\) 845.220 + 4793.48i 0.103702 + 0.588124i
\(406\) −376.215 −0.0459883
\(407\) 746.197 + 483.897i 0.0908787 + 0.0589333i
\(408\) −2049.77 −0.248722
\(409\) 920.240 + 5218.94i 0.111254 + 0.630954i 0.988537 + 0.150980i \(0.0482428\pi\)
−0.877283 + 0.479974i \(0.840646\pi\)
\(410\) 228.041 1293.28i 0.0274686 0.155782i
\(411\) −12923.6 + 4703.82i −1.55104 + 0.564531i
\(412\) −6250.30 5244.62i −0.747403 0.627145i
\(413\) 6629.46 0.789865
\(414\) 1287.76 + 1080.56i 0.152875 + 0.128277i
\(415\) 877.304 + 1519.54i 0.103772 + 0.179738i
\(416\) 553.227 + 201.358i 0.0652023 + 0.0237317i
\(417\) −2247.86 + 3893.41i −0.263976 + 0.457220i
\(418\) −236.477 409.590i −0.0276710 0.0479275i
\(419\) −2216.62 12571.1i −0.258446 1.46572i −0.787070 0.616864i \(-0.788403\pi\)
0.528624 0.848856i \(-0.322708\pi\)
\(420\) −1574.50 + 573.073i −0.182924 + 0.0665788i
\(421\) 1296.84 2246.19i 0.150128 0.260030i −0.781146 0.624348i \(-0.785365\pi\)
0.931275 + 0.364318i \(0.118698\pi\)
\(422\) −3498.70 + 2935.76i −0.403587 + 0.338650i
\(423\) −1684.95 + 1413.84i −0.193677 + 0.162514i
\(424\) −1160.83 422.509i −0.132960 0.0483935i
\(425\) −681.641 + 3865.78i −0.0777987 + 0.441218i
\(426\) 1751.62 9933.93i 0.199217 1.12981i
\(427\) 5767.89 + 2099.34i 0.653695 + 0.237925i
\(428\) −2865.71 + 2404.62i −0.323643 + 0.271569i
\(429\) −350.500 + 294.104i −0.0394459 + 0.0330990i
\(430\) −1377.59 + 2386.05i −0.154496 + 0.267594i
\(431\) 10931.6 3978.77i 1.22171 0.444665i 0.350958 0.936391i \(-0.385856\pi\)
0.870750 + 0.491726i \(0.163634\pi\)
\(432\) −251.657 1427.22i −0.0280274 0.158952i
\(433\) 85.7488 + 148.521i 0.00951692 + 0.0164838i 0.870745 0.491735i \(-0.163637\pi\)
−0.861228 + 0.508219i \(0.830304\pi\)
\(434\) −2326.23 + 4029.14i −0.257287 + 0.445633i
\(435\) −477.703 173.870i −0.0526531 0.0191642i
\(436\) −2517.33 4360.15i −0.276510 0.478930i
\(437\) −3056.19 2564.45i −0.334548 0.280719i
\(438\) −5238.47 −0.571470
\(439\) 9222.10 + 7738.26i 1.00261 + 0.841291i 0.987344 0.158592i \(-0.0506955\pi\)
0.0152677 + 0.999883i \(0.495140\pi\)
\(440\) 158.816 57.8043i 0.0172074 0.00626298i
\(441\) −411.590 + 2334.24i −0.0444434 + 0.252051i
\(442\) −260.131 1475.28i −0.0279936 0.158760i
\(443\) −2386.06 −0.255903 −0.127952 0.991780i \(-0.540840\pi\)
−0.127952 + 0.991780i \(0.540840\pi\)
\(444\) 3412.64 + 4522.60i 0.364767 + 0.483408i
\(445\) −3313.48 −0.352976
\(446\) 32.2760 + 183.046i 0.00342671 + 0.0194339i
\(447\) −958.059 + 5433.42i −0.101375 + 0.574926i
\(448\) 748.742 272.520i 0.0789614 0.0287396i
\(449\) −742.003 622.615i −0.0779895 0.0654410i 0.602959 0.797772i \(-0.293988\pi\)
−0.680949 + 0.732331i \(0.738432\pi\)
\(450\) 2431.24 0.254689
\(451\) −371.792 311.971i −0.0388182 0.0325724i
\(452\) −1762.32 3052.43i −0.183391 0.317643i
\(453\) −288.427 104.979i −0.0299150 0.0108882i
\(454\) −2868.97 + 4969.19i −0.296580 + 0.513691i
\(455\) −612.273 1060.49i −0.0630853 0.109267i
\(456\) −523.194 2967.18i −0.0537298 0.304717i
\(457\) 15339.5 5583.12i 1.57013 0.571482i 0.597105 0.802163i \(-0.296318\pi\)
0.973029 + 0.230681i \(0.0740954\pi\)
\(458\) 449.622 778.768i 0.0458721 0.0794529i
\(459\) −2824.86 + 2370.34i −0.287262 + 0.241042i
\(460\) 1092.12 916.398i 0.110696 0.0928853i
\(461\) −15916.5 5793.12i −1.60803 0.585277i −0.626984 0.779032i \(-0.715711\pi\)
−0.981050 + 0.193755i \(0.937933\pi\)
\(462\) −107.531 + 609.837i −0.0108285 + 0.0614117i
\(463\) −208.147 + 1180.46i −0.0208929 + 0.118489i −0.993471 0.114089i \(-0.963605\pi\)
0.972578 + 0.232578i \(0.0747162\pi\)
\(464\) 227.167 + 82.6822i 0.0227284 + 0.00827247i
\(465\) −4815.83 + 4040.96i −0.480277 + 0.403000i
\(466\) 7920.05 6645.71i 0.787316 0.660637i
\(467\) 5949.80 10305.4i 0.589559 1.02115i −0.404731 0.914436i \(-0.632635\pi\)
0.994290 0.106710i \(-0.0340317\pi\)
\(468\) −871.868 + 317.334i −0.0861156 + 0.0313435i
\(469\) −1133.11 6426.16i −0.111561 0.632692i
\(470\) 932.692 + 1615.47i 0.0915359 + 0.158545i
\(471\) −10031.2 + 17374.6i −0.981347 + 1.69974i
\(472\) −4003.02 1456.98i −0.390369 0.142083i
\(473\) 509.124 + 881.829i 0.0494916 + 0.0857220i
\(474\) −6800.48 5706.28i −0.658980 0.552950i
\(475\) −5769.96 −0.557356
\(476\) −1553.12 1303.22i −0.149553 0.125490i
\(477\) 1829.44 665.861i 0.175606 0.0639155i
\(478\) −277.258 + 1572.41i −0.0265303 + 0.150461i
\(479\) −558.369 3166.67i −0.0532621 0.302064i 0.946527 0.322626i \(-0.104566\pi\)
−0.999789 + 0.0205619i \(0.993454\pi\)
\(480\) 1076.67 0.102381
\(481\) −2821.96 + 3030.12i −0.267505 + 0.287239i
\(482\) −4052.95 −0.383001
\(483\) 907.071 + 5144.25i 0.0854517 + 0.484620i
\(484\) −913.657 + 5181.60i −0.0858055 + 0.486627i
\(485\) −8154.28 + 2967.92i −0.763437 + 0.277868i
\(486\) 5031.88 + 4222.25i 0.469652 + 0.394085i
\(487\) 8764.53 0.815521 0.407761 0.913089i \(-0.366310\pi\)
0.407761 + 0.913089i \(0.366310\pi\)
\(488\) −3021.40 2535.26i −0.280272 0.235176i
\(489\) −10579.4 18324.1i −0.978360 1.69457i
\(490\) 1888.93 + 687.513i 0.174149 + 0.0633850i
\(491\) −7167.04 + 12413.7i −0.658745 + 1.14098i 0.322195 + 0.946673i \(0.395579\pi\)
−0.980941 + 0.194307i \(0.937754\pi\)
\(492\) −1545.93 2677.63i −0.141659 0.245360i
\(493\) −106.816 605.782i −0.00975809 0.0553409i
\(494\) 2069.17 753.115i 0.188454 0.0685916i
\(495\) −133.176 + 230.667i −0.0120925 + 0.0209449i
\(496\) 2290.13 1921.64i 0.207318 0.173960i
\(497\) 7643.10 6413.33i 0.689819 0.578827i
\(498\) 3881.90 + 1412.90i 0.349301 + 0.127135i
\(499\) −856.594 + 4857.99i −0.0768466 + 0.435818i 0.921973 + 0.387253i \(0.126576\pi\)
−0.998820 + 0.0485654i \(0.984535\pi\)
\(500\) 822.216 4663.02i 0.0735413 0.417073i
\(501\) −10656.0 3878.47i −0.950251 0.345863i
\(502\) 4798.87 4026.73i 0.426662 0.358012i
\(503\) 1465.83 1229.98i 0.129937 0.109030i −0.575503 0.817799i \(-0.695194\pi\)
0.705440 + 0.708770i \(0.250749\pi\)
\(504\) −627.861 + 1087.49i −0.0554904 + 0.0961122i
\(505\) 1020.48 371.425i 0.0899225 0.0327291i
\(506\) −91.4937 518.887i −0.00803832 0.0455876i
\(507\) 5848.26 + 10129.5i 0.512289 + 0.887311i
\(508\) −2959.28 + 5125.62i −0.258458 + 0.447662i
\(509\) 4680.66 + 1703.62i 0.407596 + 0.148353i 0.537678 0.843150i \(-0.319302\pi\)
−0.130082 + 0.991503i \(0.541524\pi\)
\(510\) −1369.80 2372.56i −0.118933 0.205998i
\(511\) −3969.21 3330.57i −0.343616 0.288328i
\(512\) −512.000 −0.0441942
\(513\) −4152.27 3484.16i −0.357363 0.299863i
\(514\) 13107.4 4770.72i 1.12480 0.409392i
\(515\) 1893.65 10739.4i 0.162027 0.918902i
\(516\) 1126.41 + 6388.20i 0.0960999 + 0.545010i
\(517\) 689.403 0.0586458
\(518\) −289.653 + 5596.52i −0.0245687 + 0.474704i
\(519\) 19473.7 1.64702
\(520\) 136.637 + 774.909i 0.0115230 + 0.0653500i
\(521\) 1148.02 6510.75i 0.0965368 0.547487i −0.897729 0.440549i \(-0.854784\pi\)
0.994266 0.106939i \(-0.0341049\pi\)
\(522\) −358.009 + 130.305i −0.0300184 + 0.0109258i
\(523\) 6254.77 + 5248.38i 0.522949 + 0.438806i 0.865658 0.500635i \(-0.166900\pi\)
−0.342710 + 0.939441i \(0.611345\pi\)
\(524\) 7072.53 0.589627
\(525\) 5787.23 + 4856.07i 0.481096 + 0.403688i
\(526\) 7850.52 + 13597.5i 0.650758 + 1.12715i
\(527\) −7148.19 2601.73i −0.590854 0.215053i
\(528\) 198.956 344.601i 0.0163986 0.0284031i
\(529\) 3861.22 + 6687.82i 0.317352 + 0.549669i
\(530\) −286.706 1625.99i −0.0234975 0.133261i
\(531\) 6308.63 2296.15i 0.515577 0.187655i
\(532\) 1490.08 2580.89i 0.121434 0.210330i
\(533\) 1730.98 1452.46i 0.140670 0.118036i
\(534\) −5976.09 + 5014.54i −0.484290 + 0.406367i
\(535\) −4698.35 1710.06i −0.379678 0.138191i
\(536\) −728.105 + 4129.29i −0.0586742 + 0.332758i
\(537\) 1766.73 10019.6i 0.141974 0.805175i
\(538\) 7493.89 + 2727.55i 0.600529 + 0.218575i
\(539\) 569.099 477.530i 0.0454783 0.0381608i
\(540\) 1483.80 1245.05i 0.118245 0.0992196i
\(541\) −6445.35 + 11163.7i −0.512213 + 0.887178i 0.487687 + 0.873019i \(0.337841\pi\)
−0.999900 + 0.0141599i \(0.995493\pi\)
\(542\) −3776.53 + 1374.55i −0.299292 + 0.108933i
\(543\) 380.798 + 2159.61i 0.0300951 + 0.170678i
\(544\) 651.395 + 1128.25i 0.0513389 + 0.0889215i
\(545\) 3364.52 5827.51i 0.264440 0.458024i
\(546\) −2709.19 986.064i −0.212349 0.0772888i
\(547\) 11986.1 + 20760.6i 0.936909 + 1.62277i 0.771194 + 0.636600i \(0.219660\pi\)
0.165714 + 0.986174i \(0.447007\pi\)
\(548\) 6696.11 + 5618.71i 0.521978 + 0.437991i
\(549\) 6215.87 0.483219
\(550\) −583.742 489.818i −0.0452561 0.0379744i
\(551\) 849.647 309.246i 0.0656918 0.0239099i
\(552\) 582.861 3305.57i 0.0449424 0.254881i
\(553\) −1524.76 8647.36i −0.117250 0.664960i
\(554\) −5573.01 −0.427391
\(555\) −2954.25 + 6972.37i −0.225947 + 0.533262i
\(556\) 2857.39 0.217950
\(557\) 2218.90 + 12584.0i 0.168794 + 0.957276i 0.945066 + 0.326879i \(0.105997\pi\)
−0.776273 + 0.630397i \(0.782892\pi\)
\(558\) −818.132 + 4639.86i −0.0620686 + 0.352009i
\(559\) −4454.82 + 1621.42i −0.337064 + 0.122681i
\(560\) 815.797 + 684.535i 0.0615602 + 0.0516551i
\(561\) −1012.49 −0.0761986
\(562\) 540.184 + 453.268i 0.0405450 + 0.0340213i
\(563\) −13190.0 22845.8i −0.987376 1.71019i −0.630861 0.775895i \(-0.717298\pi\)
−0.356514 0.934290i \(-0.616035\pi\)
\(564\) 4126.98 + 1502.10i 0.308116 + 0.112145i
\(565\) 2355.42 4079.70i 0.175386 0.303777i
\(566\) 1032.48 + 1788.31i 0.0766755 + 0.132806i
\(567\) 1968.31 + 11162.9i 0.145787 + 0.826801i
\(568\) −6024.56 + 2192.76i −0.445044 + 0.161983i
\(569\) −658.941 + 1141.32i −0.0485488 + 0.0840889i −0.889279 0.457366i \(-0.848793\pi\)
0.840730 + 0.541455i \(0.182126\pi\)
\(570\) 3084.81 2588.46i 0.226681 0.190208i
\(571\) 2812.35 2359.84i 0.206118 0.172953i −0.533885 0.845557i \(-0.679269\pi\)
0.740003 + 0.672604i \(0.234824\pi\)
\(572\) 273.268 + 99.4616i 0.0199754 + 0.00727045i
\(573\) 5377.07 30494.9i 0.392025 2.22328i
\(574\) 531.052 3011.74i 0.0386161 0.219003i
\(575\) −6040.34 2198.50i −0.438086 0.159450i
\(576\) 618.118 518.663i 0.0447134 0.0375190i
\(577\) 13414.3 11255.9i 0.967842 0.812116i −0.0143690 0.999897i \(-0.504574\pi\)
0.982211 + 0.187781i \(0.0601295\pi\)
\(578\) −3255.52 + 5638.72i −0.234276 + 0.405778i
\(579\) 8278.23 3013.03i 0.594182 0.216265i
\(580\) 56.1064 + 318.195i 0.00401671 + 0.0227799i
\(581\) 2043.03 + 3538.63i 0.145885 + 0.252680i
\(582\) −10215.2 + 17693.3i −0.727551 + 1.26016i
\(583\) −573.398 208.700i −0.0407337 0.0148258i
\(584\) 1664.73 + 2883.40i 0.117957 + 0.204308i
\(585\) −949.950 797.102i −0.0671378 0.0563353i
\(586\) −9437.36 −0.665279
\(587\) 8554.22 + 7177.84i 0.601483 + 0.504704i 0.891922 0.452190i \(-0.149357\pi\)
−0.290439 + 0.956893i \(0.593801\pi\)
\(588\) 4447.27 1618.67i 0.311908 0.113525i
\(589\) 1941.64 11011.6i 0.135830 0.770329i
\(590\) −988.676 5607.06i −0.0689884 0.391253i
\(591\) 3084.38 0.214678
\(592\) 1404.87 3315.65i 0.0975331 0.230190i
\(593\) 23778.0 1.64662 0.823310 0.567592i \(-0.192125\pi\)
0.823310 + 0.567592i \(0.192125\pi\)
\(594\) −124.307 704.980i −0.00858649 0.0486964i
\(595\) 470.547 2668.60i 0.0324211 0.183869i
\(596\) 3295.17 1199.34i 0.226469 0.0824279i
\(597\) −1229.86 1031.97i −0.0843126 0.0707467i
\(598\) 2453.08 0.167749
\(599\) −14485.2 12154.6i −0.988065 0.829085i −0.00277834 0.999996i \(-0.500884\pi\)
−0.985286 + 0.170911i \(0.945329\pi\)
\(600\) −2427.23 4204.08i −0.165152 0.286052i
\(601\) −16885.1 6145.69i −1.14602 0.417118i −0.301937 0.953328i \(-0.597633\pi\)
−0.844085 + 0.536210i \(0.819856\pi\)
\(602\) −3208.07 + 5556.54i −0.217194 + 0.376192i
\(603\) −3304.01 5722.72i −0.223134 0.386479i
\(604\) 33.8759 + 192.119i 0.00228210 + 0.0129424i
\(605\) −6608.16 + 2405.17i −0.444066 + 0.161627i
\(606\) 1278.40 2214.26i 0.0856957 0.148429i
\(607\) 589.576 494.713i 0.0394237 0.0330804i −0.622863 0.782331i \(-0.714031\pi\)
0.662287 + 0.749251i \(0.269586\pi\)
\(608\) −1466.95 + 1230.92i −0.0978500 + 0.0821059i
\(609\) −1112.45 404.901i −0.0740213 0.0269415i
\(610\) 915.391 5191.44i 0.0607592 0.344583i
\(611\) −557.358 + 3160.93i −0.0369039 + 0.209292i
\(612\) −1929.34 702.221i −0.127433 0.0463817i
\(613\) 7282.69 6110.91i 0.479845 0.402638i −0.370525 0.928822i \(-0.620822\pi\)
0.850371 + 0.526184i \(0.176378\pi\)
\(614\) −13425.8 + 11265.6i −0.882447 + 0.740461i
\(615\) 2066.20 3578.76i 0.135475 0.234650i
\(616\) 369.844 134.612i 0.0241906 0.00880467i
\(617\) −2292.27 13000.1i −0.149568 0.848241i −0.963585 0.267401i \(-0.913835\pi\)
0.814018 0.580840i \(-0.197276\pi\)
\(618\) −12837.4 22235.0i −0.835591 1.44729i
\(619\) 255.346 442.272i 0.0165803 0.0287179i −0.857616 0.514290i \(-0.828055\pi\)
0.874197 + 0.485572i \(0.161389\pi\)
\(620\) 3754.68 + 1366.59i 0.243212 + 0.0885221i
\(621\) −3019.28 5229.55i −0.195104 0.337930i
\(622\) −4989.53 4186.71i −0.321643 0.269891i
\(623\) −7716.30 −0.496223
\(624\) 1419.16 + 1190.82i 0.0910447 + 0.0763955i
\(625\) −5378.68 + 1957.68i −0.344235 + 0.125291i
\(626\) −1359.13 + 7708.01i −0.0867760 + 0.492131i
\(627\) −258.434 1465.65i −0.0164607 0.0933531i
\(628\) 12751.3 0.810241
\(629\) −9093.76 + 1122.57i −0.576458 + 0.0711605i
\(630\) −1678.32 −0.106136
\(631\) 4348.89 + 24663.8i 0.274369 + 1.55602i 0.740960 + 0.671549i \(0.234371\pi\)
−0.466592 + 0.884473i \(0.654518\pi\)
\(632\) −979.774 + 5556.58i −0.0616667 + 0.349729i
\(633\) −13505.1 + 4915.46i −0.847994 + 0.308645i
\(634\) 4185.25 + 3511.84i 0.262173 + 0.219989i
\(635\) −7910.38 −0.494353
\(636\) −2977.82 2498.69i −0.185658 0.155785i
\(637\) 1729.40 + 2995.40i 0.107569 + 0.186314i
\(638\) 112.210 + 40.8412i 0.00696308 + 0.00253435i
\(639\) 5051.93 8750.19i 0.312756 0.541709i
\(640\) −342.154 592.628i −0.0211325 0.0366026i
\(641\) 861.673 + 4886.79i 0.0530952 + 0.301118i 0.999778 0.0210480i \(-0.00670027\pi\)
−0.946683 + 0.322166i \(0.895589\pi\)
\(642\) −11061.8 + 4026.15i −0.680020 + 0.247507i
\(643\) −3783.95 + 6554.00i −0.232075 + 0.401966i −0.958419 0.285366i \(-0.907885\pi\)
0.726343 + 0.687332i \(0.241218\pi\)
\(644\) 2543.28 2134.07i 0.155620 0.130581i
\(645\) −6641.45 + 5572.84i −0.405437 + 0.340202i
\(646\) 4578.81 + 1666.55i 0.278871 + 0.101501i
\(647\) −2687.20 + 15239.9i −0.163284 + 0.926029i 0.787532 + 0.616273i \(0.211358\pi\)
−0.950816 + 0.309756i \(0.899753\pi\)
\(648\) 1264.79 7172.98i 0.0766753 0.434847i
\(649\) −1977.31 719.681i −0.119593 0.0435284i
\(650\) 2717.77 2280.48i 0.163999 0.137612i
\(651\) −11214.9 + 9410.43i −0.675187 + 0.566549i
\(652\) −6724.07 + 11646.4i −0.403888 + 0.699554i
\(653\) −17429.3 + 6343.76i −1.04451 + 0.380169i −0.806587 0.591116i \(-0.798688\pi\)
−0.237919 + 0.971285i \(0.576465\pi\)
\(654\) −2751.07 15602.1i −0.164488 0.932858i
\(655\) 4726.36 + 8186.29i 0.281945 + 0.488343i
\(656\) −982.563 + 1701.85i −0.0584796 + 0.101290i
\(657\) −4930.69 1794.62i −0.292792 0.106568i
\(658\) 2172.01 + 3762.04i 0.128684 + 0.222887i
\(659\) −6359.10 5335.91i −0.375896 0.315414i 0.435193 0.900337i \(-0.356680\pi\)
−0.811089 + 0.584923i \(0.801125\pi\)
\(660\) 531.824 0.0313655
\(661\) 6005.73 + 5039.41i 0.353398 + 0.296536i 0.802153 0.597119i \(-0.203688\pi\)
−0.448755 + 0.893655i \(0.648132\pi\)
\(662\) 7498.44 2729.21i 0.440234 0.160232i
\(663\) 818.564 4642.30i 0.0479493 0.271934i
\(664\) −455.931 2585.71i −0.0266469 0.151122i
\(665\) 3983.09 0.232267
\(666\) 1662.75 + 5426.00i 0.0967423 + 0.315696i
\(667\) 1007.29 0.0584745
\(668\) 1251.55 + 7097.91i 0.0724911 + 0.411117i
\(669\) −101.564 + 575.999i −0.00586950 + 0.0332876i
\(670\) −5266.13 + 1916.71i −0.303654 + 0.110521i
\(671\) −1492.43 1252.30i −0.0858640 0.0720485i
\(672\) 2507.30 0.143930
\(673\) 11599.8 + 9733.37i 0.664396 + 0.557495i 0.911401 0.411520i \(-0.135002\pi\)
−0.247005 + 0.969014i \(0.579446\pi\)
\(674\) 11682.2 + 20234.2i 0.667629 + 1.15637i
\(675\) −8206.64 2986.97i −0.467961 0.170324i
\(676\) 3717.04 6438.10i 0.211484 0.366300i
\(677\) 13400.2 + 23209.8i 0.760724 + 1.31761i 0.942478 + 0.334268i \(0.108489\pi\)
−0.181755 + 0.983344i \(0.558178\pi\)
\(678\) −1925.95 10922.6i −0.109094 0.618704i
\(679\) −18989.4 + 6911.56i −1.07326 + 0.390635i
\(680\) −870.616 + 1507.95i −0.0490979 + 0.0850401i
\(681\) −13831.5 + 11606.0i −0.778303 + 0.653074i
\(682\) 1131.22 949.204i 0.0635140 0.0532945i
\(683\) −9317.39 3391.25i −0.521991 0.189989i 0.0675675 0.997715i \(-0.478476\pi\)
−0.589559 + 0.807725i \(0.700698\pi\)
\(684\) 524.059 2972.08i 0.0292952 0.166141i
\(685\) −2028.71 + 11505.4i −0.113158 + 0.641751i
\(686\) 12424.4 + 4522.12i 0.691497 + 0.251684i
\(687\) 2167.66 1818.88i 0.120381 0.101011i
\(688\) 3158.28 2650.11i 0.175012 0.146853i
\(689\) 1420.47 2460.32i 0.0785422 0.136039i
\(690\) 4215.63 1534.36i 0.232589 0.0846554i
\(691\) 1219.36 + 6915.35i 0.0671299 + 0.380712i 0.999800 + 0.0199828i \(0.00636115\pi\)
−0.932670 + 0.360730i \(0.882528\pi\)
\(692\) −6188.55 10718.9i −0.339962 0.588831i
\(693\) −310.134 + 537.169i −0.0170000 + 0.0294449i
\(694\) 213.902 + 77.8540i 0.0116997 + 0.00425836i
\(695\) 1909.51 + 3307.36i 0.104218 + 0.180511i
\(696\) 582.739 + 488.976i 0.0317366 + 0.0266302i
\(697\) 5000.29 0.271735
\(698\) −10100.2 8475.11i −0.547708 0.459581i
\(699\) 30571.7 11127.2i 1.65426 0.602102i
\(700\) 833.791 4728.66i 0.0450205 0.255324i
\(701\) 3911.90 + 22185.5i 0.210771 + 1.19534i 0.888096 + 0.459658i \(0.152028\pi\)
−0.677325 + 0.735684i \(0.736861\pi\)
\(702\) 3332.85 0.179189
\(703\) −3946.14 12877.3i −0.211709 0.690863i
\(704\) −252.904 −0.0135393
\(705\) 1019.29 + 5780.69i 0.0544521 + 0.308813i
\(706\) 2906.69 16484.6i 0.154950 0.878765i
\(707\) 2376.46 864.960i 0.126416 0.0460115i
\(708\) −10268.7 8616.47i −0.545087 0.457383i
\(709\) −27163.8 −1.43887 −0.719435 0.694560i \(-0.755599\pi\)
−0.719435 + 0.694560i \(0.755599\pi\)
\(710\) −6564.10 5507.94i −0.346967 0.291140i
\(711\) −4446.04 7700.77i −0.234514 0.406190i
\(712\) 4659.28 + 1695.84i 0.245244 + 0.0892616i
\(713\) 6228.31 10787.7i 0.327142 0.566626i
\(714\) −3189.93 5525.12i −0.167199 0.289597i
\(715\) 67.4925 + 382.769i 0.00353018 + 0.0200206i
\(716\) −6076.54 + 2211.68i −0.317166 + 0.115439i
\(717\) −2512.14 + 4351.16i −0.130847 + 0.226634i
\(718\) 15463.7 12975.6i 0.803762 0.674437i
\(719\) 1923.68 1614.16i 0.0997791 0.0837246i −0.591533 0.806280i \(-0.701477\pi\)
0.691313 + 0.722556i \(0.257033\pi\)
\(720\) 1013.41 + 368.851i 0.0524549 + 0.0190920i
\(721\) 4409.84 25009.5i 0.227782 1.29182i
\(722\) 1138.38 6456.07i 0.0586788 0.332784i
\(723\) −11984.4 4361.97i −0.616466 0.224375i
\(724\) 1067.70 895.906i 0.0548076 0.0459890i
\(725\) 1115.98 936.416i 0.0571674 0.0479691i
\(726\) −8278.33 + 14338.5i −0.423192 + 0.732991i
\(727\) 12530.7 4560.80i 0.639254 0.232670i −0.00199989 0.999998i \(-0.500637\pi\)
0.641254 + 0.767328i \(0.278414\pi\)
\(728\) 318.195 + 1804.58i 0.0161993 + 0.0918709i
\(729\) −1956.22 3388.27i −0.0993862 0.172142i
\(730\) −2224.98 + 3853.78i −0.112808 + 0.195390i
\(731\) −9857.98 3588.01i −0.498783 0.181542i
\(732\) −6205.62 10748.4i −0.313342 0.542724i
\(733\) 16255.1 + 13639.6i 0.819093 + 0.687301i 0.952760 0.303726i \(-0.0982306\pi\)
−0.133666 + 0.991026i \(0.542675\pi\)
\(734\) −15514.7 −0.780187
\(735\) 4845.55 + 4065.90i 0.243171 + 0.204045i
\(736\) −2004.70 + 729.653i −0.100400 + 0.0365426i
\(737\) −359.650 + 2039.68i −0.0179754 + 0.101944i
\(738\) −537.784 3049.93i −0.0268240 0.152126i
\(739\) 17900.9 0.891062 0.445531 0.895267i \(-0.353015\pi\)
0.445531 + 0.895267i \(0.353015\pi\)
\(740\) 4776.62 589.647i 0.237286 0.0292917i
\(741\) 6928.99 0.343512
\(742\) −667.668 3786.54i −0.0330335 0.187342i
\(743\) 5444.36 30876.5i 0.268821 1.52456i −0.489108 0.872223i \(-0.662678\pi\)
0.757929 0.652337i \(-0.226211\pi\)
\(744\) 8839.98 3217.49i 0.435604 0.158547i
\(745\) 3590.28 + 3012.60i 0.176560 + 0.148152i
\(746\) 21340.1 1.04734
\(747\) 3169.79 + 2659.77i 0.155256 + 0.130275i
\(748\) 321.759 + 557.303i 0.0157282 + 0.0272420i
\(749\) −10941.3 3982.32i −0.533762 0.194273i
\(750\) 7449.82 12903.5i 0.362705 0.628224i
\(751\) 10683.8 + 18504.8i 0.519117 + 0.899136i 0.999753 + 0.0222164i \(0.00707227\pi\)
−0.480637 + 0.876920i \(0.659594\pi\)
\(752\) −484.715 2748.96i −0.0235050 0.133303i
\(753\) 18523.8 6742.13i 0.896476 0.326291i
\(754\) −277.976 + 481.469i −0.0134261 + 0.0232547i
\(755\) −199.736 + 167.598i −0.00962798 + 0.00807884i
\(756\) 3455.41 2899.43i 0.166233 0.139486i
\(757\) 3684.63 + 1341.09i 0.176909 + 0.0643896i 0.428956 0.903325i \(-0.358882\pi\)
−0.252047 + 0.967715i \(0.581104\pi\)
\(758\) −1083.96 + 6147.47i −0.0519411 + 0.294573i
\(759\) 287.906 1632.80i 0.0137686 0.0780854i
\(760\) −2405.08 875.378i −0.114791 0.0417807i
\(761\) −8930.09 + 7493.23i −0.425382 + 0.356937i −0.830206 0.557457i \(-0.811777\pi\)
0.404824 + 0.914395i \(0.367333\pi\)
\(762\) −14266.9 + 11971.3i −0.678261 + 0.569129i
\(763\) 7835.14 13570.9i 0.371758 0.643904i
\(764\) −18494.0 + 6731.27i −0.875772 + 0.318755i
\(765\) −476.512 2702.44i −0.0225207 0.127721i
\(766\) −11043.1 19127.2i −0.520893 0.902213i
\(767\) 4898.34 8484.18i 0.230598 0.399408i
\(768\) −1513.97 551.038i −0.0711335 0.0258905i
\(769\) 5906.12 + 10229.7i 0.276957 + 0.479704i 0.970627 0.240589i \(-0.0773407\pi\)