Properties

Label 74.4.f.a.53.2
Level $74$
Weight $4$
Character 74.53
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 53.2
Character \(\chi\) \(=\) 74.53
Dual form 74.4.f.a.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(1.87939 + 0.684040i) q^{2} +(-1.71848 + 0.625476i) q^{3} +(3.06418 + 2.57115i) q^{4} +(-3.13691 + 17.7903i) q^{5} -3.65754 q^{6} +(1.67925 - 9.52347i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-18.1212 + 15.2055i) q^{9} +O(q^{10})\) \(q+(1.87939 + 0.684040i) q^{2} +(-1.71848 + 0.625476i) q^{3} +(3.06418 + 2.57115i) q^{4} +(-3.13691 + 17.7903i) q^{5} -3.65754 q^{6} +(1.67925 - 9.52347i) q^{7} +(4.00000 + 6.92820i) q^{8} +(-18.1212 + 15.2055i) q^{9} +(-18.0648 + 31.2891i) q^{10} +(0.610928 + 1.05816i) q^{11} +(-6.87392 - 2.50190i) q^{12} +(60.0781 + 50.4115i) q^{13} +(9.67039 - 16.7496i) q^{14} +(-5.73669 - 32.5344i) q^{15} +(2.77837 + 15.7569i) q^{16} +(82.1103 - 68.8987i) q^{17} +(-44.4580 + 16.1814i) q^{18} +(-116.299 + 42.3293i) q^{19} +(-55.3536 + 46.4472i) q^{20} +(3.07095 + 17.4162i) q^{21} +(0.424346 + 2.40659i) q^{22} +(101.088 - 175.089i) q^{23} +(-11.2073 - 9.40408i) q^{24} +(-189.194 - 68.8608i) q^{25} +(78.4264 + 135.839i) q^{26} +(46.3187 - 80.2263i) q^{27} +(29.6318 - 24.8640i) q^{28} +(-39.0166 - 67.5788i) q^{29} +(11.4734 - 65.0687i) q^{30} +263.850 q^{31} +(-5.55674 + 31.5138i) q^{32} +(-1.71172 - 1.43630i) q^{33} +(201.446 - 73.3205i) q^{34} +(164.158 + 59.7486i) q^{35} -94.6224 q^{36} +(-136.197 + 179.174i) q^{37} -247.525 q^{38} +(-134.774 - 49.0538i) q^{39} +(-135.803 + 49.4281i) q^{40} +(-49.2441 - 41.3207i) q^{41} +(-6.14190 + 34.8325i) q^{42} +129.426 q^{43} +(-0.848693 + 4.81318i) q^{44} +(-213.666 - 370.081i) q^{45} +(309.751 - 259.912i) q^{46} +(31.7391 - 54.9737i) q^{47} +(-14.6301 - 25.3402i) q^{48} +(234.438 + 85.3284i) q^{49} +(-308.464 - 258.832i) q^{50} +(-98.0104 + 169.759i) q^{51} +(54.4744 + 308.940i) q^{52} +(59.6033 + 338.027i) q^{53} +(141.929 - 119.092i) q^{54} +(-20.7414 + 7.54925i) q^{55} +(72.6975 - 26.4597i) q^{56} +(173.381 - 145.484i) q^{57} +(-27.1007 - 153.695i) q^{58} +(29.9993 + 170.135i) q^{59} +(66.0725 - 114.441i) q^{60} +(-447.028 - 375.101i) q^{61} +(495.875 + 180.484i) q^{62} +(114.379 + 198.111i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-1085.30 + 910.672i) q^{65} +(-2.23449 - 3.87025i) q^{66} +(-109.094 + 618.705i) q^{67} +428.750 q^{68} +(-64.2033 + 364.115i) q^{69} +(267.646 + 224.581i) q^{70} +(337.267 - 122.755i) q^{71} +(-177.832 - 64.7256i) q^{72} -95.8658 q^{73} +(-378.529 + 243.574i) q^{74} +368.196 q^{75} +(-465.195 - 169.317i) q^{76} +(11.1032 - 4.04125i) q^{77} +(-219.738 - 184.382i) q^{78} +(-88.4514 + 501.633i) q^{79} -289.036 q^{80} +(81.4912 - 462.160i) q^{81} +(-64.2836 - 111.343i) q^{82} +(267.662 - 224.595i) q^{83} +(-35.3698 + 61.2623i) q^{84} +(968.157 + 1676.90i) q^{85} +(243.242 + 88.5329i) q^{86} +(109.318 + 91.7288i) q^{87} +(-4.88743 + 8.46527i) q^{88} +(-69.6582 - 395.051i) q^{89} +(-148.411 - 841.681i) q^{90} +(580.979 - 487.499i) q^{91} +(759.932 - 276.593i) q^{92} +(-453.421 + 165.032i) q^{93} +(97.2543 - 81.6060i) q^{94} +(-388.232 - 2201.77i) q^{95} +(-10.1620 - 57.6315i) q^{96} +(-275.784 + 477.672i) q^{97} +(382.231 + 320.730i) q^{98} +(-27.1606 - 9.88567i) 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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.87939 + 0.684040i 0.664463 + 0.241845i
\(3\) −1.71848 + 0.625476i −0.330722 + 0.120373i −0.502044 0.864842i \(-0.667418\pi\)
0.171322 + 0.985215i \(0.445196\pi\)
\(4\) 3.06418 + 2.57115i 0.383022 + 0.321394i
\(5\) −3.13691 + 17.7903i −0.280574 + 1.59121i 0.440106 + 0.897946i \(0.354941\pi\)
−0.720680 + 0.693268i \(0.756170\pi\)
\(6\) −3.65754 −0.248864
\(7\) 1.67925 9.52347i 0.0906707 0.514219i −0.905318 0.424735i \(-0.860367\pi\)
0.995988 0.0894839i \(-0.0285218\pi\)
\(8\) 4.00000 + 6.92820i 0.176777 + 0.306186i
\(9\) −18.1212 + 15.2055i −0.671157 + 0.563168i
\(10\) −18.0648 + 31.2891i −0.571258 + 0.989448i
\(11\) 0.610928 + 1.05816i 0.0167456 + 0.0290043i 0.874277 0.485428i \(-0.161336\pi\)
−0.857531 + 0.514432i \(0.828003\pi\)
\(12\) −6.87392 2.50190i −0.165361 0.0601864i
\(13\) 60.0781 + 50.4115i 1.28174 + 1.07551i 0.993001 + 0.118104i \(0.0376816\pi\)
0.288743 + 0.957407i \(0.406763\pi\)
\(14\) 9.67039 16.7496i 0.184609 0.319751i
\(15\) −5.73669 32.5344i −0.0987471 0.560022i
\(16\) 2.77837 + 15.7569i 0.0434120 + 0.246202i
\(17\) 82.1103 68.8987i 1.17145 0.982964i 0.171454 0.985192i \(-0.445154\pi\)
0.999998 + 0.00222769i \(0.000709096\pi\)
\(18\) −44.4580 + 16.1814i −0.582158 + 0.211888i
\(19\) −116.299 + 42.3293i −1.40425 + 0.511105i −0.929437 0.368981i \(-0.879707\pi\)
−0.474813 + 0.880086i \(0.657484\pi\)
\(20\) −55.3536 + 46.4472i −0.618872 + 0.519296i
\(21\) 3.07095 + 17.4162i 0.0319113 + 0.180978i
\(22\) 0.424346 + 2.40659i 0.00411232 + 0.0233221i
\(23\) 101.088 175.089i 0.916446 1.58733i 0.111676 0.993745i \(-0.464378\pi\)
0.804770 0.593587i \(-0.202289\pi\)
\(24\) −11.2073 9.40408i −0.0953204 0.0799833i
\(25\) −189.194 68.8608i −1.51355 0.550887i
\(26\) 78.4264 + 135.839i 0.591565 + 1.02462i
\(27\) 46.3187 80.2263i 0.330149 0.571836i
\(28\) 29.6318 24.8640i 0.199996 0.167816i
\(29\) −39.0166 67.5788i −0.249835 0.432726i 0.713645 0.700507i \(-0.247043\pi\)
−0.963480 + 0.267781i \(0.913710\pi\)
\(30\) 11.4734 65.0687i 0.0698247 0.395996i
\(31\) 263.850 1.52867 0.764336 0.644818i \(-0.223067\pi\)
0.764336 + 0.644818i \(0.223067\pi\)
\(32\) −5.55674 + 31.5138i −0.0306970 + 0.174091i
\(33\) −1.71172 1.43630i −0.00902946 0.00757662i
\(34\) 201.446 73.3205i 1.01611 0.369834i
\(35\) 164.158 + 59.7486i 0.792793 + 0.288553i
\(36\) −94.6224 −0.438067
\(37\) −136.197 + 179.174i −0.605152 + 0.796110i
\(38\) −247.525 −1.05668
\(39\) −134.774 49.0538i −0.553363 0.201408i
\(40\) −135.803 + 49.4281i −0.536807 + 0.195382i
\(41\) −49.2441 41.3207i −0.187577 0.157395i 0.544164 0.838979i \(-0.316847\pi\)
−0.731740 + 0.681584i \(0.761292\pi\)
\(42\) −6.14190 + 34.8325i −0.0225647 + 0.127971i
\(43\) 129.426 0.459008 0.229504 0.973308i \(-0.426290\pi\)
0.229504 + 0.973308i \(0.426290\pi\)
\(44\) −0.848693 + 4.81318i −0.00290785 + 0.0164912i
\(45\) −213.666 370.081i −0.707811 1.22597i
\(46\) 309.751 259.912i 0.992833 0.833085i
\(47\) 31.7391 54.9737i 0.0985026 0.170612i −0.812562 0.582874i \(-0.801928\pi\)
0.911065 + 0.412263i \(0.135261\pi\)
\(48\) −14.6301 25.3402i −0.0439933 0.0761987i
\(49\) 234.438 + 85.3284i 0.683492 + 0.248771i
\(50\) −308.464 258.832i −0.872468 0.732087i
\(51\) −98.0104 + 169.759i −0.269102 + 0.466098i
\(52\) 54.4744 + 308.940i 0.145274 + 0.823889i
\(53\) 59.6033 + 338.027i 0.154475 + 0.876068i 0.959265 + 0.282509i \(0.0911667\pi\)
−0.804790 + 0.593559i \(0.797722\pi\)
\(54\) 141.929 119.092i 0.357668 0.300119i
\(55\) −20.7414 + 7.54925i −0.0508504 + 0.0185080i
\(56\) 72.6975 26.4597i 0.173475 0.0631399i
\(57\) 173.381 145.484i 0.402893 0.338067i
\(58\) −27.1007 153.695i −0.0613533 0.347952i
\(59\) 29.9993 + 170.135i 0.0661963 + 0.375418i 0.999851 + 0.0172441i \(0.00548925\pi\)
−0.933655 + 0.358173i \(0.883400\pi\)
\(60\) 66.0725 114.441i 0.142165 0.246238i
\(61\) −447.028 375.101i −0.938296 0.787324i 0.0389918 0.999240i \(-0.487585\pi\)
−0.977288 + 0.211916i \(0.932030\pi\)
\(62\) 495.875 + 180.484i 1.01575 + 0.369701i
\(63\) 114.379 + 198.111i 0.228737 + 0.396185i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) −1085.30 + 910.672i −2.07099 + 1.73777i
\(66\) −2.23449 3.87025i −0.00416738 0.00721811i
\(67\) −109.094 + 618.705i −0.198925 + 1.12816i 0.707791 + 0.706422i \(0.249692\pi\)
−0.906717 + 0.421741i \(0.861419\pi\)
\(68\) 428.750 0.764611
\(69\) −64.2033 + 364.115i −0.112017 + 0.635280i
\(70\) 267.646 + 224.581i 0.456997 + 0.383466i
\(71\) 337.267 122.755i 0.563750 0.205188i −0.0443950 0.999014i \(-0.514136\pi\)
0.608145 + 0.793826i \(0.291914\pi\)
\(72\) −177.832 64.7256i −0.291079 0.105944i
\(73\) −95.8658 −0.153702 −0.0768510 0.997043i \(-0.524487\pi\)
−0.0768510 + 0.997043i \(0.524487\pi\)
\(74\) −378.529 + 243.574i −0.594636 + 0.382633i
\(75\) 368.196 0.566875
\(76\) −465.195 169.317i −0.702125 0.255553i
\(77\) 11.1032 4.04125i 0.0164329 0.00598108i
\(78\) −219.738 184.382i −0.318980 0.267656i
\(79\) −88.4514 + 501.633i −0.125969 + 0.714406i 0.854758 + 0.519026i \(0.173705\pi\)
−0.980728 + 0.195380i \(0.937406\pi\)
\(80\) −289.036 −0.403940
\(81\) 81.4912 462.160i 0.111785 0.633964i
\(82\) −64.2836 111.343i −0.0865725 0.149948i
\(83\) 267.662 224.595i 0.353972 0.297018i −0.448411 0.893828i \(-0.648010\pi\)
0.802383 + 0.596810i \(0.203565\pi\)
\(84\) −35.3698 + 61.2623i −0.0459424 + 0.0795746i
\(85\) 968.157 + 1676.90i 1.23543 + 2.13982i
\(86\) 243.242 + 88.5329i 0.304994 + 0.111009i
\(87\) 109.318 + 91.7288i 0.134714 + 0.113039i
\(88\) −4.88743 + 8.46527i −0.00592047 + 0.0102546i
\(89\) −69.6582 395.051i −0.0829635 0.470510i −0.997777 0.0666340i \(-0.978774\pi\)
0.914814 0.403876i \(-0.132337\pi\)
\(90\) −148.411 841.681i −0.173821 0.985789i
\(91\) 580.979 487.499i 0.669265 0.561580i
\(92\) 759.932 276.593i 0.861178 0.313443i
\(93\) −453.421 + 165.032i −0.505565 + 0.184011i
\(94\) 97.2543 81.6060i 0.106713 0.0895427i
\(95\) −388.232 2201.77i −0.419282 2.37787i
\(96\) −10.1620 57.6315i −0.0108037 0.0612708i
\(97\) −275.784 + 477.672i −0.288676 + 0.500002i −0.973494 0.228712i \(-0.926548\pi\)
0.684818 + 0.728714i \(0.259882\pi\)
\(98\) 382.231 + 320.730i 0.393991 + 0.330598i
\(99\) −27.1606 9.88567i −0.0275732 0.0100358i
\(100\) −402.671 697.447i −0.402671 0.697447i
\(101\) 508.181 880.195i 0.500652 0.867155i −0.499347 0.866402i \(-0.666427\pi\)
1.00000 0.000753358i \(-0.000239801\pi\)
\(102\) −300.321 + 252.000i −0.291532 + 0.244624i
\(103\) −929.779 1610.42i −0.889455 1.54058i −0.840521 0.541779i \(-0.817751\pi\)
−0.0489343 0.998802i \(-0.515582\pi\)
\(104\) −108.949 + 617.879i −0.102724 + 0.582578i
\(105\) −319.473 −0.296928
\(106\) −119.207 + 676.055i −0.109230 + 0.619474i
\(107\) −900.855 755.907i −0.813915 0.682956i 0.137623 0.990485i \(-0.456054\pi\)
−0.951539 + 0.307529i \(0.900498\pi\)
\(108\) 348.203 126.735i 0.310239 0.112918i
\(109\) 271.276 + 98.7364i 0.238381 + 0.0867636i 0.458448 0.888721i \(-0.348405\pi\)
−0.220067 + 0.975485i \(0.570628\pi\)
\(110\) −44.1451 −0.0382643
\(111\) 121.982 393.095i 0.104307 0.336135i
\(112\) 154.726 0.130538
\(113\) −798.084 290.479i −0.664402 0.241823i −0.0122664 0.999925i \(-0.503905\pi\)
−0.652136 + 0.758102i \(0.726127\pi\)
\(114\) 425.367 154.821i 0.349467 0.127196i
\(115\) 2797.79 + 2347.62i 2.26865 + 1.90363i
\(116\) 54.2013 307.391i 0.0433833 0.246039i
\(117\) −1855.22 −1.46594
\(118\) −59.9986 + 340.269i −0.0468078 + 0.265460i
\(119\) −518.272 897.673i −0.399243 0.691509i
\(120\) 202.458 169.882i 0.154015 0.129234i
\(121\) 664.754 1151.39i 0.499439 0.865054i
\(122\) −583.554 1010.74i −0.433053 0.750070i
\(123\) 110.470 + 40.2078i 0.0809818 + 0.0294750i
\(124\) 808.483 + 678.398i 0.585515 + 0.491306i
\(125\) 689.492 1194.23i 0.493360 0.854525i
\(126\) 79.4471 + 450.567i 0.0561723 + 0.318569i
\(127\) 18.3879 + 104.283i 0.0128477 + 0.0728630i 0.990558 0.137098i \(-0.0437775\pi\)
−0.977710 + 0.209961i \(0.932666\pi\)
\(128\) −98.0537 + 82.2768i −0.0677094 + 0.0568149i
\(129\) −222.417 + 80.9531i −0.151804 + 0.0552521i
\(130\) −2662.63 + 969.117i −1.79637 + 0.653824i
\(131\) 418.672 351.307i 0.279233 0.234304i −0.492405 0.870366i \(-0.663882\pi\)
0.771638 + 0.636062i \(0.219438\pi\)
\(132\) −1.55206 8.80218i −0.00102341 0.00580403i
\(133\) 207.828 + 1178.65i 0.135496 + 0.768435i
\(134\) −628.250 + 1088.16i −0.405019 + 0.701513i
\(135\) 1281.95 + 1075.69i 0.817282 + 0.685781i
\(136\) 805.786 + 293.282i 0.508055 + 0.184917i
\(137\) 127.753 + 221.275i 0.0796693 + 0.137991i 0.903107 0.429415i \(-0.141280\pi\)
−0.823438 + 0.567406i \(0.807947\pi\)
\(138\) −369.732 + 640.395i −0.228070 + 0.395029i
\(139\) 1293.12 1085.05i 0.789071 0.662109i −0.156445 0.987687i \(-0.550003\pi\)
0.945515 + 0.325578i \(0.105559\pi\)
\(140\) 349.387 + 605.155i 0.210918 + 0.365321i
\(141\) −20.1583 + 114.323i −0.0120400 + 0.0682820i
\(142\) 717.825 0.424215
\(143\) −16.6400 + 94.3700i −0.00973080 + 0.0551861i
\(144\) −289.940 243.289i −0.167789 0.140792i
\(145\) 1324.64 482.129i 0.758657 0.276129i
\(146\) −180.169 65.5761i −0.102129 0.0371720i
\(147\) −456.248 −0.255991
\(148\) −878.015 + 198.840i −0.487651 + 0.110436i
\(149\) −86.5562 −0.0475904 −0.0237952 0.999717i \(-0.507575\pi\)
−0.0237952 + 0.999717i \(0.507575\pi\)
\(150\) 691.982 + 251.861i 0.376667 + 0.137096i
\(151\) −2806.53 + 1021.49i −1.51253 + 0.550517i −0.959270 0.282491i \(-0.908839\pi\)
−0.553262 + 0.833007i \(0.686617\pi\)
\(152\) −758.461 636.424i −0.404732 0.339611i
\(153\) −440.299 + 2497.06i −0.232654 + 1.31945i
\(154\) 23.6317 0.0123655
\(155\) −827.674 + 4693.97i −0.428906 + 2.43244i
\(156\) −286.847 496.834i −0.147219 0.254991i
\(157\) 1381.46 1159.18i 0.702247 0.589255i −0.220165 0.975463i \(-0.570660\pi\)
0.922412 + 0.386208i \(0.126215\pi\)
\(158\) −509.371 + 882.257i −0.256477 + 0.444232i
\(159\) −313.855 543.613i −0.156543 0.271140i
\(160\) −543.210 197.712i −0.268403 0.0976908i
\(161\) −1497.71 1256.72i −0.733142 0.615179i
\(162\) 469.289 812.833i 0.227598 0.394211i
\(163\) −176.039 998.366i −0.0845916 0.479743i −0.997444 0.0714530i \(-0.977236\pi\)
0.912852 0.408290i \(-0.133875\pi\)
\(164\) −44.6510 253.228i −0.0212601 0.120572i
\(165\) 30.9218 25.9465i 0.0145895 0.0122420i
\(166\) 656.672 239.009i 0.307034 0.111751i
\(167\) 3064.57 1115.41i 1.42002 0.516845i 0.485966 0.873978i \(-0.338468\pi\)
0.934053 + 0.357133i \(0.116246\pi\)
\(168\) −108.379 + 90.9411i −0.0497717 + 0.0417634i
\(169\) 686.553 + 3893.63i 0.312496 + 1.77225i
\(170\) 672.475 + 3813.80i 0.303391 + 1.72062i
\(171\) 1463.84 2535.44i 0.654635 1.13386i
\(172\) 396.586 + 332.775i 0.175810 + 0.147522i
\(173\) −2712.12 987.132i −1.19190 0.433817i −0.331510 0.943452i \(-0.607558\pi\)
−0.860391 + 0.509635i \(0.829780\pi\)
\(174\) 142.705 + 247.172i 0.0621748 + 0.107690i
\(175\) −973.497 + 1686.15i −0.420511 + 0.728346i
\(176\) −14.9759 + 12.5663i −0.00641394 + 0.00538194i
\(177\) −157.968 273.609i −0.0670826 0.116190i
\(178\) 139.316 790.103i 0.0586641 0.332701i
\(179\) −743.305 −0.310376 −0.155188 0.987885i \(-0.549598\pi\)
−0.155188 + 0.987885i \(0.549598\pi\)
\(180\) 296.822 1683.36i 0.122910 0.697058i
\(181\) 877.491 + 736.302i 0.360350 + 0.302370i 0.804930 0.593369i \(-0.202203\pi\)
−0.444580 + 0.895739i \(0.646647\pi\)
\(182\) 1425.35 518.786i 0.580517 0.211291i
\(183\) 1002.83 + 364.998i 0.405087 + 0.147440i
\(184\) 1617.40 0.648025
\(185\) −2760.33 2985.04i −1.09699 1.18629i
\(186\) −965.040 −0.380431
\(187\) 123.069 + 44.7936i 0.0481268 + 0.0175167i
\(188\) 238.600 86.8433i 0.0925622 0.0336899i
\(189\) −686.253 575.834i −0.264114 0.221618i
\(190\) 776.464 4403.55i 0.296477 1.68141i
\(191\) 593.097 0.224686 0.112343 0.993670i \(-0.464165\pi\)
0.112343 + 0.993670i \(0.464165\pi\)
\(192\) 20.3240 115.263i 0.00763936 0.0433250i
\(193\) 662.809 + 1148.02i 0.247202 + 0.428167i 0.962748 0.270399i \(-0.0871555\pi\)
−0.715546 + 0.698565i \(0.753822\pi\)
\(194\) −845.051 + 709.082i −0.312738 + 0.262418i
\(195\) 1295.46 2243.80i 0.475742 0.824009i
\(196\) 498.967 + 864.236i 0.181839 + 0.314955i
\(197\) −2964.98 1079.17i −1.07232 0.390291i −0.255274 0.966869i \(-0.582166\pi\)
−0.817042 + 0.576578i \(0.804388\pi\)
\(198\) −44.2831 37.1580i −0.0158943 0.0133369i
\(199\) −2121.41 + 3674.39i −0.755693 + 1.30890i 0.189336 + 0.981912i \(0.439366\pi\)
−0.945029 + 0.326986i \(0.893967\pi\)
\(200\) −279.692 1586.21i −0.0988862 0.560812i
\(201\) −199.508 1131.47i −0.0700111 0.397053i
\(202\) 1557.16 1306.61i 0.542382 0.455112i
\(203\) −709.103 + 258.092i −0.245169 + 0.0892342i
\(204\) −736.797 + 268.172i −0.252873 + 0.0920383i
\(205\) 889.583 746.449i 0.303079 0.254313i
\(206\) −645.818 3662.62i −0.218428 1.23877i
\(207\) 830.488 + 4709.93i 0.278854 + 1.58146i
\(208\) −627.411 + 1086.71i −0.209150 + 0.362258i
\(209\) −115.841 97.2024i −0.0383393 0.0321705i
\(210\) −600.414 218.533i −0.197298 0.0718104i
\(211\) −2310.28 4001.53i −0.753774 1.30558i −0.945981 0.324221i \(-0.894898\pi\)
0.192207 0.981354i \(-0.438436\pi\)
\(212\) −686.484 + 1189.03i −0.222396 + 0.385201i
\(213\) −502.807 + 421.905i −0.161745 + 0.135720i
\(214\) −1175.98 2036.86i −0.375647 0.650640i
\(215\) −406.000 + 2302.54i −0.128786 + 0.730380i
\(216\) 741.099 0.233451
\(217\) 443.069 2512.77i 0.138606 0.786072i
\(218\) 442.292 + 371.127i 0.137412 + 0.115302i
\(219\) 164.743 59.9617i 0.0508325 0.0185015i
\(220\) −82.9656 30.1970i −0.0254252 0.00925401i
\(221\) 8406.32 2.55869
\(222\) 498.145 655.337i 0.150600 0.198123i
\(223\) −3601.27 −1.08143 −0.540715 0.841206i \(-0.681846\pi\)
−0.540715 + 0.841206i \(0.681846\pi\)
\(224\) 290.790 + 105.839i 0.0867377 + 0.0315699i
\(225\) 4475.49 1628.94i 1.32607 0.482650i
\(226\) −1301.21 1091.84i −0.382987 0.321364i
\(227\) 550.389 3121.41i 0.160928 0.912666i −0.792237 0.610214i \(-0.791084\pi\)
0.953165 0.302452i \(-0.0978053\pi\)
\(228\) 905.332 0.262970
\(229\) −395.732 + 2244.31i −0.114195 + 0.647633i 0.872950 + 0.487809i \(0.162204\pi\)
−0.987146 + 0.159824i \(0.948907\pi\)
\(230\) 3652.25 + 6325.89i 1.04705 + 1.81355i
\(231\) −16.5530 + 13.8896i −0.00471475 + 0.00395615i
\(232\) 312.133 540.630i 0.0883299 0.152992i
\(233\) 1972.75 + 3416.91i 0.554675 + 0.960726i 0.997929 + 0.0643295i \(0.0204909\pi\)
−0.443253 + 0.896396i \(0.646176\pi\)
\(234\) −3486.68 1269.05i −0.974066 0.354531i
\(235\) 878.437 + 737.097i 0.243842 + 0.204608i
\(236\) −345.518 + 598.455i −0.0953023 + 0.165068i
\(237\) −161.757 917.370i −0.0443344 0.251433i
\(238\) −359.988 2041.59i −0.0980443 0.556037i
\(239\) 44.4387 37.2885i 0.0120272 0.0100920i −0.636754 0.771067i \(-0.719723\pi\)
0.648781 + 0.760975i \(0.275279\pi\)
\(240\) 496.703 180.785i 0.133592 0.0486234i
\(241\) 3600.12 1310.34i 0.962259 0.350234i 0.187341 0.982295i \(-0.440013\pi\)
0.774918 + 0.632061i \(0.217791\pi\)
\(242\) 2036.92 1709.18i 0.541068 0.454010i
\(243\) 583.359 + 3308.39i 0.154002 + 0.873389i
\(244\) −405.332 2298.75i −0.106347 0.603125i
\(245\) −2253.43 + 3903.06i −0.587618 + 1.01778i
\(246\) 180.112 + 151.132i 0.0466810 + 0.0391700i
\(247\) −9120.89 3319.73i −2.34959 0.855180i
\(248\) 1055.40 + 1828.00i 0.270234 + 0.468058i
\(249\) −319.493 + 553.378i −0.0813134 + 0.140839i
\(250\) 2112.73 1772.79i 0.534482 0.448484i
\(251\) −1324.36 2293.87i −0.333041 0.576843i 0.650066 0.759878i \(-0.274741\pi\)
−0.983106 + 0.183035i \(0.941408\pi\)
\(252\) −158.894 + 901.134i −0.0397198 + 0.225262i
\(253\) 247.030 0.0613858
\(254\) −36.7758 + 208.566i −0.00908471 + 0.0515219i
\(255\) −2712.62 2276.16i −0.666160 0.558974i
\(256\) −240.561 + 87.5572i −0.0587308 + 0.0213763i
\(257\) 580.966 + 211.454i 0.141010 + 0.0513236i 0.411561 0.911382i \(-0.364984\pi\)
−0.270551 + 0.962706i \(0.587206\pi\)
\(258\) −473.382 −0.114231
\(259\) 1477.65 + 1597.94i 0.354506 + 0.383364i
\(260\) −5667.02 −1.35174
\(261\) 1734.60 + 631.343i 0.411376 + 0.149729i
\(262\) 1027.15 373.854i 0.242205 0.0881555i
\(263\) −935.235 784.755i −0.219274 0.183993i 0.526533 0.850155i \(-0.323492\pi\)
−0.745807 + 0.666162i \(0.767936\pi\)
\(264\) 3.10412 17.6044i 0.000723658 0.00410407i
\(265\) −6200.58 −1.43735
\(266\) −415.655 + 2357.30i −0.0958100 + 0.543366i
\(267\) 366.801 + 635.318i 0.0840744 + 0.145621i
\(268\) −1925.07 + 1615.32i −0.438777 + 0.368178i
\(269\) 1854.61 3212.28i 0.420362 0.728089i −0.575612 0.817723i \(-0.695236\pi\)
0.995975 + 0.0896336i \(0.0285696\pi\)
\(270\) 1673.47 + 2898.54i 0.377201 + 0.653331i
\(271\) −3644.83 1326.61i −0.817003 0.297365i −0.100489 0.994938i \(-0.532041\pi\)
−0.716513 + 0.697573i \(0.754263\pi\)
\(272\) 1313.76 + 1102.38i 0.292863 + 0.245741i
\(273\) −693.481 + 1201.15i −0.153741 + 0.266288i
\(274\) 88.7364 + 503.249i 0.0195648 + 0.110958i
\(275\) −42.7180 242.266i −0.00936724 0.0531243i
\(276\) −1132.93 + 950.637i −0.247080 + 0.207325i
\(277\) 2857.95 1040.21i 0.619918 0.225632i −0.0129191 0.999917i \(-0.504112\pi\)
0.632837 + 0.774285i \(0.281890\pi\)
\(278\) 3172.49 1154.69i 0.684436 0.249114i
\(279\) −4781.29 + 4011.98i −1.02598 + 0.860899i
\(280\) 242.681 + 1376.31i 0.0517964 + 0.293752i
\(281\) 801.068 + 4543.08i 0.170063 + 0.964475i 0.943689 + 0.330833i \(0.107330\pi\)
−0.773626 + 0.633642i \(0.781559\pi\)
\(282\) −116.087 + 201.068i −0.0245137 + 0.0424591i
\(283\) 4674.21 + 3922.13i 0.981812 + 0.823838i 0.984362 0.176159i \(-0.0563671\pi\)
−0.00254966 + 0.999997i \(0.500812\pi\)
\(284\) 1349.07 + 491.021i 0.281875 + 0.102594i
\(285\) 2044.33 + 3540.87i 0.424896 + 0.735941i
\(286\) −95.8258 + 165.975i −0.0198122 + 0.0343158i
\(287\) −476.210 + 399.588i −0.0979435 + 0.0821843i
\(288\) −378.490 655.563i −0.0774400 0.134130i
\(289\) 1141.93 6476.23i 0.232431 1.31818i
\(290\) 2819.30 0.570880
\(291\) 175.157 993.365i 0.0352848 0.200110i
\(292\) −293.750 246.485i −0.0588713 0.0493988i
\(293\) −454.249 + 165.333i −0.0905717 + 0.0329654i −0.386909 0.922118i \(-0.626457\pi\)
0.296337 + 0.955083i \(0.404235\pi\)
\(294\) −857.465 312.092i −0.170097 0.0619101i
\(295\) −3120.85 −0.615943
\(296\) −1786.14 226.901i −0.350735 0.0445553i
\(297\) 113.190 0.0221142
\(298\) −162.673 59.2079i −0.0316220 0.0115095i
\(299\) 14899.7 5423.04i 2.88184 1.04890i
\(300\) 1128.22 + 946.687i 0.217126 + 0.182190i
\(301\) 217.339 1232.59i 0.0416186 0.236031i
\(302\) −5973.30 −1.13816
\(303\) −322.758 + 1830.45i −0.0611946 + 0.347052i
\(304\) −990.100 1714.90i −0.186796 0.323541i
\(305\) 8075.45 6776.11i 1.51606 1.27213i
\(306\) −2535.58 + 4391.76i −0.473692 + 0.820458i
\(307\) 199.012 + 344.699i 0.0369975 + 0.0640815i 0.883931 0.467617i \(-0.154887\pi\)
−0.846934 + 0.531698i \(0.821554\pi\)
\(308\) 44.4130 + 16.1650i 0.00821644 + 0.00299054i
\(309\) 2605.09 + 2185.93i 0.479606 + 0.402437i
\(310\) −4766.38 + 8255.62i −0.873266 + 1.51254i
\(311\) 331.079 + 1877.64i 0.0603659 + 0.342352i 1.00000 0.000171059i \(5.44497e-5\pi\)
−0.939634 + 0.342181i \(0.888834\pi\)
\(312\) −199.242 1129.96i −0.0361534 0.205036i
\(313\) −3722.24 + 3123.33i −0.672184 + 0.564029i −0.913711 0.406365i \(-0.866796\pi\)
0.241527 + 0.970394i \(0.422352\pi\)
\(314\) 3389.23 1233.58i 0.609125 0.221703i
\(315\) −3883.26 + 1413.39i −0.694593 + 0.252811i
\(316\) −1560.80 + 1309.67i −0.277855 + 0.233148i
\(317\) 1325.51 + 7517.33i 0.234852 + 1.33191i 0.842926 + 0.538030i \(0.180831\pi\)
−0.608074 + 0.793880i \(0.708058\pi\)
\(318\) −218.001 1236.35i −0.0384431 0.218022i
\(319\) 47.6727 82.5715i 0.00836727 0.0144925i
\(320\) −885.658 743.155i −0.154718 0.129824i
\(321\) 2020.90 + 735.548i 0.351389 + 0.127895i
\(322\) −1955.12 3386.36i −0.338368 0.586070i
\(323\) −6632.89 + 11488.5i −1.14261 + 1.97906i
\(324\) 1437.99 1206.61i 0.246568 0.206895i
\(325\) −7895.01 13674.6i −1.34750 2.33393i
\(326\) 352.078 1996.73i 0.0598153 0.339229i
\(327\) −527.940 −0.0892817
\(328\) 89.3019 506.456i 0.0150331 0.0852572i
\(329\) −470.243 394.581i −0.0788005 0.0661214i
\(330\) 75.8624 27.6117i 0.0126548 0.00460598i
\(331\) 1242.05 + 452.068i 0.206251 + 0.0750692i 0.443080 0.896482i \(-0.353886\pi\)
−0.236829 + 0.971551i \(0.576108\pi\)
\(332\) 1397.63 0.231039
\(333\) −256.387 5317.81i −0.0421919 0.875117i
\(334\) 6522.48 1.06855
\(335\) −10664.7 3881.65i −1.73933 0.633066i
\(336\) −265.894 + 96.7775i −0.0431717 + 0.0157132i
\(337\) 5690.65 + 4775.02i 0.919850 + 0.771846i 0.973967 0.226689i \(-0.0727901\pi\)
−0.0541175 + 0.998535i \(0.517235\pi\)
\(338\) −1373.11 + 7787.27i −0.220968 + 1.25317i
\(339\) 1553.18 0.248841
\(340\) −1344.95 + 7627.59i −0.214530 + 1.21666i
\(341\) 161.193 + 279.195i 0.0255986 + 0.0443380i
\(342\) 4485.46 3763.75i 0.709199 0.595088i
\(343\) 2864.77 4961.93i 0.450971 0.781106i
\(344\) 517.706 + 896.693i 0.0811420 + 0.140542i
\(345\) −6276.32 2284.40i −0.979438 0.356486i
\(346\) −4421.89 3710.40i −0.687058 0.576510i
\(347\) 2877.88 4984.63i 0.445224 0.771150i −0.552844 0.833285i \(-0.686458\pi\)
0.998068 + 0.0621347i \(0.0197908\pi\)
\(348\) 99.1216 + 562.147i 0.0152686 + 0.0865926i
\(349\) −1903.52 10795.4i −0.291957 1.65577i −0.679319 0.733843i \(-0.737725\pi\)
0.387362 0.921928i \(-0.373387\pi\)
\(350\) −2982.97 + 2503.01i −0.455561 + 0.382261i
\(351\) 6827.07 2484.85i 1.03818 0.377867i
\(352\) −36.7414 + 13.3728i −0.00556342 + 0.00202492i
\(353\) −510.711 + 428.537i −0.0770040 + 0.0646140i −0.680477 0.732769i \(-0.738227\pi\)
0.603473 + 0.797383i \(0.293783\pi\)
\(354\) −109.724 622.273i −0.0164739 0.0934279i
\(355\) 1125.88 + 6385.17i 0.168325 + 0.954618i
\(356\) 802.291 1389.61i 0.119442 0.206880i
\(357\) 1452.11 + 1218.47i 0.215277 + 0.180639i
\(358\) −1396.96 508.451i −0.206233 0.0750627i
\(359\) −1399.32 2423.69i −0.205719 0.356316i 0.744643 0.667463i \(-0.232620\pi\)
−0.950362 + 0.311148i \(0.899287\pi\)
\(360\) 1709.33 2960.65i 0.250249 0.433444i
\(361\) 6479.33 5436.80i 0.944646 0.792652i
\(362\) 1145.48 + 1984.03i 0.166313 + 0.288062i
\(363\) −422.201 + 2394.42i −0.0610463 + 0.346211i
\(364\) 3033.66 0.436832
\(365\) 300.723 1705.48i 0.0431248 0.244573i
\(366\) 1635.02 + 1371.95i 0.233508 + 0.195936i
\(367\) 11780.6 4287.79i 1.67559 0.609866i 0.682897 0.730515i \(-0.260720\pi\)
0.992695 + 0.120649i \(0.0384977\pi\)
\(368\) 3039.73 + 1106.37i 0.430589 + 0.156722i
\(369\) 1520.67 0.214533
\(370\) −3145.84 7498.21i −0.442012 1.05355i
\(371\) 3319.28 0.464498
\(372\) −1813.68 660.126i −0.252782 0.0920053i
\(373\) −5731.77 + 2086.19i −0.795656 + 0.289595i −0.707685 0.706528i \(-0.750261\pi\)
−0.0879710 + 0.996123i \(0.528038\pi\)
\(374\) 200.654 + 168.369i 0.0277422 + 0.0232784i
\(375\) −437.913 + 2483.53i −0.0603033 + 0.341997i
\(376\) 507.826 0.0696519
\(377\) 1062.70 6026.89i 0.145178 0.823344i
\(378\) −895.839 1551.64i −0.121897 0.211131i
\(379\) −7083.61 + 5943.86i −0.960055 + 0.805582i −0.980962 0.194200i \(-0.937789\pi\)
0.0209070 + 0.999781i \(0.493345\pi\)
\(380\) 4471.48 7744.83i 0.603637 1.04553i
\(381\) −96.8256 167.707i −0.0130197 0.0225509i
\(382\) 1114.66 + 405.702i 0.149295 + 0.0543391i
\(383\) −4007.34 3362.56i −0.534636 0.448613i 0.335063 0.942196i \(-0.391242\pi\)
−0.869699 + 0.493583i \(0.835687\pi\)
\(384\) 117.041 202.721i 0.0155540 0.0269403i
\(385\) 37.0652 + 210.207i 0.00490654 + 0.0278264i
\(386\) 460.382 + 2610.96i 0.0607068 + 0.344286i
\(387\) −2345.37 + 1968.00i −0.308067 + 0.258499i
\(388\) −2073.22 + 754.589i −0.271267 + 0.0987331i
\(389\) −13082.8 + 4761.77i −1.70521 + 0.620646i −0.996402 0.0847553i \(-0.972989\pi\)
−0.708808 + 0.705401i \(0.750767\pi\)
\(390\) 3969.51 3330.82i 0.515395 0.432468i
\(391\) −3763.07 21341.5i −0.486718 2.76032i
\(392\) 346.579 + 1965.55i 0.0446553 + 0.253253i
\(393\) −499.745 + 865.584i −0.0641445 + 0.111102i
\(394\) −4834.15 4056.34i −0.618125 0.518668i
\(395\) −8646.74 3147.16i −1.10143 0.400888i
\(396\) −57.8075 100.126i −0.00733570 0.0127058i
\(397\) −3641.86 + 6307.88i −0.460402 + 0.797439i −0.998981 0.0451358i \(-0.985628\pi\)
0.538579 + 0.842575i \(0.318961\pi\)
\(398\) −6500.38 + 5454.47i −0.818680 + 0.686954i
\(399\) −1094.36 1895.49i −0.137310 0.237828i
\(400\) 559.385 3172.43i 0.0699231 0.396554i
\(401\) 11563.3 1.44000 0.720002 0.693972i \(-0.244141\pi\)
0.720002 + 0.693972i \(0.244141\pi\)
\(402\) 399.017 2262.94i 0.0495054 0.280759i
\(403\) 15851.6 + 13301.1i 1.95937 + 1.64410i
\(404\) 3820.27 1390.46i 0.470459 0.171233i
\(405\) 7966.33 + 2899.51i 0.977408 + 0.355748i
\(406\) −1509.22 −0.184486
\(407\) −272.801 34.6551i −0.0332242 0.00422061i
\(408\) −1568.17 −0.190284
\(409\) −6331.10 2304.33i −0.765411 0.278587i −0.0703351 0.997523i \(-0.522407\pi\)
−0.695076 + 0.718937i \(0.744629\pi\)
\(410\) 2182.47 794.355i 0.262889 0.0956838i
\(411\) −357.943 300.350i −0.0429587 0.0360467i
\(412\) 1291.64 7325.23i 0.154452 0.875942i
\(413\) 1670.65 0.199049
\(414\) −1660.98 + 9419.86i −0.197180 + 1.11826i
\(415\) 3155.98 + 5466.32i 0.373304 + 0.646581i
\(416\) −1922.50 + 1613.17i −0.226582 + 0.190125i
\(417\) −1543.52 + 2673.46i −0.181263 + 0.313956i
\(418\) −151.220 261.921i −0.0176948 0.0306482i
\(419\) 7572.69 + 2756.23i 0.882935 + 0.321362i 0.743394 0.668854i \(-0.233215\pi\)
0.139542 + 0.990216i \(0.455437\pi\)
\(420\) −978.923 821.414i −0.113730 0.0954307i
\(421\) 1057.09 1830.93i 0.122374 0.211958i −0.798329 0.602221i \(-0.794283\pi\)
0.920703 + 0.390263i \(0.127616\pi\)
\(422\) −1604.71 9100.74i −0.185109 1.04980i
\(423\) 260.753 + 1478.80i 0.0299722 + 0.169981i
\(424\) −2103.51 + 1765.05i −0.240933 + 0.202166i
\(425\) −20279.2 + 7381.01i −2.31455 + 0.842427i
\(426\) −1233.57 + 448.982i −0.140297 + 0.0510640i
\(427\) −4322.93 + 3627.37i −0.489933 + 0.411103i
\(428\) −816.829 4632.47i −0.0922498 0.523175i
\(429\) −30.4307 172.581i −0.00342472 0.0194226i
\(430\) −2338.06 + 4049.64i −0.262212 + 0.454165i
\(431\) 237.500 + 199.286i 0.0265428 + 0.0222721i 0.655963 0.754793i \(-0.272263\pi\)
−0.629420 + 0.777066i \(0.716707\pi\)
\(432\) 1392.81 + 506.941i 0.155119 + 0.0564589i
\(433\) 5348.81 + 9264.41i 0.593643 + 1.02822i 0.993737 + 0.111746i \(0.0356442\pi\)
−0.400094 + 0.916474i \(0.631022\pi\)
\(434\) 2551.53 4419.38i 0.282206 0.488795i
\(435\) −1974.81 + 1657.06i −0.217666 + 0.182643i
\(436\) 577.372 + 1000.04i 0.0634199 + 0.109847i
\(437\) −4344.98 + 24641.6i −0.475626 + 2.69741i
\(438\) 350.633 0.0382508
\(439\) 664.126 3766.45i 0.0722027 0.409482i −0.927189 0.374595i \(-0.877782\pi\)
0.999391 0.0348870i \(-0.0111071\pi\)
\(440\) −135.268 113.504i −0.0146561 0.0122979i
\(441\) −5545.77 + 2018.50i −0.598831 + 0.217957i
\(442\) 15798.7 + 5750.26i 1.70015 + 0.618806i
\(443\) 3664.59 0.393025 0.196512 0.980501i \(-0.437038\pi\)
0.196512 + 0.980501i \(0.437038\pi\)
\(444\) 1384.48 890.879i 0.147983 0.0952235i
\(445\) 7246.60 0.771959
\(446\) −6768.18 2463.42i −0.718571 0.261538i
\(447\) 148.745 54.1388i 0.0157392 0.00572859i
\(448\) 474.109 + 397.824i 0.0499989 + 0.0419541i
\(449\) −2206.60 + 12514.2i −0.231928 + 1.31533i 0.617059 + 0.786917i \(0.288324\pi\)
−0.848987 + 0.528413i \(0.822787\pi\)
\(450\) 9525.43 0.997851
\(451\) 13.6393 77.3521i 0.00142405 0.00807621i
\(452\) −1698.61 2942.07i −0.176761 0.306158i
\(453\) 4184.05 3510.83i 0.433960 0.364135i
\(454\) 3169.56 5489.84i 0.327654 0.567513i
\(455\) 6850.28 + 11865.0i 0.705816 + 1.22251i
\(456\) 1701.47 + 619.283i 0.174734 + 0.0635978i
\(457\) 2441.22 + 2048.43i 0.249881 + 0.209675i 0.759121 0.650950i \(-0.225629\pi\)
−0.509240 + 0.860624i \(0.670074\pi\)
\(458\) −2278.93 + 3947.22i −0.232505 + 0.402711i
\(459\) −1724.25 9778.70i −0.175340 0.994403i
\(460\) 2536.83 + 14387.1i 0.257131 + 1.45826i
\(461\) 4861.74 4079.48i 0.491180 0.412149i −0.363269 0.931684i \(-0.618339\pi\)
0.854449 + 0.519536i \(0.173895\pi\)
\(462\) −40.6105 + 14.7810i −0.00408955 + 0.00148847i
\(463\) −14961.0 + 5445.36i −1.50172 + 0.546581i −0.956505 0.291715i \(-0.905774\pi\)
−0.545215 + 0.838296i \(0.683552\pi\)
\(464\) 956.431 802.541i 0.0956922 0.0802953i
\(465\) −1513.62 8584.18i −0.150952 0.856090i
\(466\) 1370.26 + 7771.13i 0.136215 + 0.772512i
\(467\) −5017.12 + 8689.91i −0.497141 + 0.861073i −0.999995 0.00329861i \(-0.998950\pi\)
0.502854 + 0.864371i \(0.332283\pi\)
\(468\) −5684.74 4770.06i −0.561489 0.471146i
\(469\) 5709.03 + 2077.92i 0.562086 + 0.204583i
\(470\) 1146.72 + 1986.17i 0.112541 + 0.194926i
\(471\) −1648.97 + 2856.11i −0.161318 + 0.279411i
\(472\) −1058.73 + 888.380i −0.103246 + 0.0866335i
\(473\) 79.0703 + 136.954i 0.00768638 + 0.0133132i
\(474\) 323.514 1834.74i 0.0313491 0.177790i
\(475\) 24917.8 2.40696
\(476\) 719.976 4083.19i 0.0693278 0.393178i
\(477\) −6219.97 5219.18i −0.597050 0.500985i
\(478\) 109.024 39.6816i 0.0104323 0.00379706i
\(479\) −11698.3 4257.82i −1.11588 0.406148i −0.282734 0.959198i \(-0.591241\pi\)
−0.833148 + 0.553051i \(0.813464\pi\)
\(480\) 1057.16 0.100526
\(481\) −17214.9 + 3898.57i −1.63187 + 0.369563i
\(482\) 7662.34 0.724088
\(483\) 3359.83 + 1222.88i 0.316517 + 0.115203i
\(484\) 4997.31 1818.87i 0.469319 0.170818i
\(485\) −7632.82 6404.70i −0.714615 0.599634i
\(486\) −1166.72 + 6616.78i −0.108896 + 0.617579i
\(487\) −19737.0 −1.83648 −0.918242 0.396021i \(-0.870391\pi\)
−0.918242 + 0.396021i \(0.870391\pi\)
\(488\) 810.664 4597.50i 0.0751989 0.426474i
\(489\) 926.973 + 1605.56i 0.0857243 + 0.148479i
\(490\) −6904.91 + 5793.91i −0.636596 + 0.534168i
\(491\) 5822.70 10085.2i 0.535183 0.926964i −0.463972 0.885850i \(-0.653576\pi\)
0.999154 0.0411137i \(-0.0130906\pi\)
\(492\) 235.120 + 407.239i 0.0215448 + 0.0373166i
\(493\) −7859.76 2860.72i −0.718024 0.261339i
\(494\) −14870.8 12478.1i −1.35439 1.13647i
\(495\) 261.070 452.186i 0.0237055 0.0410591i
\(496\) 733.073 + 4157.46i 0.0663628 + 0.376362i
\(497\) −602.702 3418.09i −0.0543961 0.308496i
\(498\) −978.983 + 821.464i −0.0880909 + 0.0739170i
\(499\) 773.245 281.438i 0.0693691 0.0252483i −0.307103 0.951676i \(-0.599359\pi\)
0.376472 + 0.926428i \(0.377137\pi\)
\(500\) 5183.28 1886.56i 0.463607 0.168739i
\(501\) −4568.73 + 3833.62i −0.407417 + 0.341863i
\(502\) −919.894 5216.98i −0.0817866 0.463835i
\(503\) −3721.24 21104.2i −0.329865 1.87075i −0.473016 0.881054i \(-0.656835\pi\)
0.143152 0.989701i \(-0.454276\pi\)
\(504\) −915.036 + 1584.89i −0.0808709 + 0.140072i
\(505\) 14064.8 + 11801.8i 1.23936 + 1.03995i
\(506\) 464.264 + 168.978i 0.0407886 + 0.0148458i
\(507\) −3615.20 6261.71i −0.316680 0.548506i
\(508\) −211.783 + 366.819i −0.0184968 + 0.0320373i
\(509\) 9753.61 8184.25i 0.849354 0.712693i −0.110293 0.993899i \(-0.535179\pi\)
0.959647 + 0.281206i \(0.0907345\pi\)
\(510\) −3541.07 6133.31i −0.307453 0.532525i
\(511\) −160.982 + 912.975i −0.0139363 + 0.0790365i
\(512\) −512.000 −0.0441942
\(513\) −1990.88 + 11290.9i −0.171344 + 0.971741i
\(514\) 947.215 + 794.808i 0.0812838 + 0.0682052i
\(515\) 31566.6 11489.3i 2.70095 0.983066i
\(516\) −889.667 323.812i −0.0759020 0.0276261i
\(517\) 77.5613 0.00659795
\(518\) 1684.02 + 4013.93i 0.142841 + 0.340467i
\(519\) 5278.16 0.446407
\(520\) −10650.5 3876.47i −0.898184 0.326912i
\(521\) 9078.46 3304.29i 0.763406 0.277857i 0.0691706 0.997605i \(-0.477965\pi\)
0.694236 + 0.719748i \(0.255742\pi\)
\(522\) 2828.12 + 2373.07i 0.237133 + 0.198978i
\(523\) −3812.99 + 21624.5i −0.318796 + 1.80798i 0.231303 + 0.972882i \(0.425701\pi\)
−0.550099 + 0.835099i \(0.685410\pi\)
\(524\) 2186.15 0.182256
\(525\) 618.292 3506.51i 0.0513990 0.291498i
\(526\) −1220.86 2114.60i −0.101202 0.175287i
\(527\) 21664.8 18178.9i 1.79076 1.50263i
\(528\) 17.8759 30.9620i 0.00147339 0.00255199i
\(529\) −14354.0 24861.8i −1.17975 2.04338i
\(530\) −11653.3 4241.45i −0.955069 0.347617i
\(531\) −3130.61 2626.90i −0.255851 0.214685i
\(532\) −2393.66 + 4145.95i −0.195072 + 0.337875i
\(533\) −875.453 4964.94i −0.0711446 0.403481i
\(534\) 254.777 + 1444.91i 0.0206466 + 0.117093i
\(535\) 16273.7 13655.3i 1.31509 1.10349i
\(536\) −4722.89 + 1718.99i −0.380593 + 0.138525i
\(537\) 1277.35 464.919i 0.102648 0.0373608i
\(538\) 5682.85 4768.48i 0.455400 0.382126i
\(539\) 52.9337 + 300.202i 0.00423009 + 0.0239900i
\(540\) 1162.38 + 6592.19i 0.0926313 + 0.525338i
\(541\) −5553.26 + 9618.53i −0.441319 + 0.764386i −0.997788 0.0664822i \(-0.978822\pi\)
0.556469 + 0.830868i \(0.312156\pi\)
\(542\) −5942.59 4986.42i −0.470952 0.395176i
\(543\) −1968.49 716.472i −0.155573 0.0566238i
\(544\) 1715.00 + 2970.46i 0.135165 + 0.234113i
\(545\) −2607.52 + 4516.36i −0.204943 + 0.354972i
\(546\) −2124.95 + 1783.05i −0.166556 + 0.139757i
\(547\) −6933.08 12008.4i −0.541932 0.938654i −0.998793 0.0491159i \(-0.984360\pi\)
0.456861 0.889538i \(-0.348974\pi\)
\(548\) −177.473 + 1006.50i −0.0138344 + 0.0784589i
\(549\) 13804.3 1.07314
\(550\) 85.4360 484.532i 0.00662364 0.0375645i
\(551\) 7398.14 + 6207.78i 0.571999 + 0.479964i
\(552\) −2779.48 + 1011.65i −0.214316 + 0.0780046i
\(553\) 4628.75 + 1684.73i 0.355940 + 0.129551i
\(554\) 6082.73 0.466481
\(555\) 6610.64 + 3403.21i 0.505597 + 0.260285i
\(556\) 6752.18 0.515029
\(557\) −22413.9 8157.99i −1.70504 0.620584i −0.708656 0.705554i \(-0.750698\pi\)
−0.996384 + 0.0849701i \(0.972921\pi\)
\(558\) −11730.2 + 4269.46i −0.889929 + 0.323908i
\(559\) 7775.70 + 6524.59i 0.588331 + 0.493668i
\(560\) −485.363 + 2752.63i −0.0366256 + 0.207714i
\(561\) −239.509 −0.0180251
\(562\) −1602.14 + 9086.17i −0.120253 + 0.681987i
\(563\) −8820.92 15278.3i −0.660315 1.14370i −0.980533 0.196356i \(-0.937089\pi\)
0.320217 0.947344i \(-0.396244\pi\)
\(564\) −355.711 + 298.477i −0.0265570 + 0.0222839i
\(565\) 7671.23 13287.0i 0.571206 0.989357i
\(566\) 6101.75 + 10568.5i 0.453137 + 0.784856i
\(567\) −4264.52 1552.16i −0.315861 0.114964i
\(568\) 2199.54 + 1845.64i 0.162484 + 0.136340i
\(569\) −8216.64 + 14231.6i −0.605377 + 1.04854i 0.386615 + 0.922241i \(0.373644\pi\)
−0.991992 + 0.126302i \(0.959689\pi\)
\(570\) 1419.97 + 8053.07i 0.104344 + 0.591765i
\(571\) 1427.89 + 8097.96i 0.104650 + 0.593501i 0.991359 + 0.131173i \(0.0418745\pi\)
−0.886709 + 0.462328i \(0.847014\pi\)
\(572\) −293.627 + 246.383i −0.0214636 + 0.0180101i
\(573\) −1019.22 + 370.967i −0.0743084 + 0.0270460i
\(574\) −1168.32 + 425.232i −0.0849557 + 0.0309213i
\(575\) −31181.9 + 26164.8i −2.26153 + 1.89765i
\(576\) −262.896 1490.96i −0.0190174 0.107853i
\(577\) 95.3069 + 540.512i 0.00687639 + 0.0389980i 0.988053 0.154115i \(-0.0492527\pi\)
−0.981177 + 0.193113i \(0.938142\pi\)
\(578\) 6576.14 11390.2i 0.473237 0.819671i
\(579\) −1857.08 1558.28i −0.133295 0.111848i
\(580\) 5298.56 + 1928.52i 0.379329 + 0.138064i
\(581\) −1689.45 2926.22i −0.120637 0.208950i
\(582\) 1008.69 1747.10i 0.0718411 0.124432i
\(583\) −321.273 + 269.580i −0.0228229 + 0.0191507i
\(584\) −383.463 664.178i −0.0271709 0.0470614i
\(585\) 5819.68 33005.0i 0.411306 2.33263i
\(586\) −966.803 −0.0681540
\(587\) −908.677 + 5153.36i −0.0638929 + 0.362354i 0.936052 + 0.351861i \(0.114451\pi\)
−0.999945 + 0.0104930i \(0.996660\pi\)
\(588\) −1398.02 1173.08i −0.0980502 0.0822739i
\(589\) −30685.4 + 11168.6i −2.14664 + 0.781312i
\(590\) −5865.29 2134.79i −0.409271 0.148963i
\(591\) 5770.26 0.401619
\(592\) −3201.64 1648.23i −0.222275 0.114429i
\(593\) 4294.05 0.297362 0.148681 0.988885i \(-0.452497\pi\)
0.148681 + 0.988885i \(0.452497\pi\)
\(594\) 212.727 + 77.4262i 0.0146941 + 0.00534821i
\(595\) 17595.7 6404.30i 1.21236 0.441262i
\(596\) −265.224 222.549i −0.0182282 0.0152952i
\(597\) 1347.36 7641.26i 0.0923682 0.523846i
\(598\) 31711.8 2.16855
\(599\) 746.251 4232.20i 0.0509032 0.288686i −0.948721 0.316116i \(-0.897621\pi\)
0.999624 + 0.0274298i \(0.00873226\pi\)
\(600\) 1472.78 + 2550.94i 0.100210 + 0.173569i
\(601\) 9312.87 7814.43i 0.632080 0.530378i −0.269495 0.963002i \(-0.586857\pi\)
0.901574 + 0.432624i \(0.142412\pi\)
\(602\) 1251.60 2167.84i 0.0847369 0.146769i
\(603\) −7430.82 12870.6i −0.501835 0.869203i
\(604\) −11226.1 4085.98i −0.756266 0.275258i
\(605\) 18398.3 + 15438.0i 1.23636 + 1.03743i
\(606\) −1858.69 + 3219.35i −0.124594 + 0.215804i
\(607\) 4245.04 + 24074.8i 0.283856 + 1.60983i 0.709342 + 0.704865i \(0.248992\pi\)
−0.425485 + 0.904965i \(0.639897\pi\)
\(608\) −687.716 3900.23i −0.0458727 0.260157i
\(609\) 1057.15 887.053i 0.0703413 0.0590233i
\(610\) 19812.0 7210.99i 1.31502 0.478630i
\(611\) 4678.14 1702.70i 0.309750 0.112740i
\(612\) −7769.48 + 6519.36i −0.513174 + 0.430604i
\(613\) −68.3309 387.524i −0.00450221 0.0255333i 0.982474 0.186400i \(-0.0596821\pi\)
−0.986976 + 0.160867i \(0.948571\pi\)
\(614\) 138.232 + 783.955i 0.00908567 + 0.0515274i
\(615\) −1061.85 + 1839.17i −0.0696223 + 0.120589i
\(616\) 72.4116 + 60.7605i 0.00473628 + 0.00397421i
\(617\) −7863.09 2861.93i −0.513057 0.186737i 0.0725005 0.997368i \(-0.476902\pi\)
−0.585557 + 0.810631i \(0.699124\pi\)
\(618\) 3400.70 + 5890.19i 0.221353 + 0.383395i
\(619\) −659.736 + 1142.70i −0.0428385 + 0.0741984i −0.886650 0.462442i \(-0.846973\pi\)
0.843811 + 0.536640i \(0.180307\pi\)
\(620\) −14605.0 + 12255.1i −0.946053 + 0.793833i
\(621\) −9364.51 16219.8i −0.605128 1.04811i
\(622\) −662.159 + 3755.29i −0.0426851 + 0.242079i
\(623\) −3879.23 −0.249467
\(624\) 398.484 2259.92i 0.0255643 0.144982i
\(625\) −196.060 164.514i −0.0125479 0.0105289i
\(626\) −9132.01 + 3323.78i −0.583049 + 0.212212i
\(627\) 259.869 + 94.5844i 0.0165521 + 0.00602446i
\(628\) 7213.49 0.458359
\(629\) 1161.73 + 24095.8i 0.0736425 + 1.52745i
\(630\) −8264.95 −0.522672
\(631\) 18757.6 + 6827.20i 1.18340 + 0.430724i 0.857403 0.514646i \(-0.172077\pi\)
0.326001 + 0.945369i \(0.394299\pi\)
\(632\) −3829.22 + 1393.72i −0.241010 + 0.0877204i
\(633\) 6473.03 + 5431.52i 0.406445 + 0.341048i
\(634\) −2651.02 + 15034.7i −0.166065 + 0.941802i
\(635\) −1912.91 −0.119545
\(636\) 436.003 2472.69i 0.0271834 0.154165i
\(637\) 9783.05 + 16944.7i 0.608506 + 1.05396i
\(638\) 146.078 122.574i 0.00906469 0.00760617i
\(639\) −4245.15 + 7352.81i −0.262810 + 0.455200i
\(640\) −1156.14 2002.50i −0.0714072 0.123681i
\(641\) −4703.56 1711.96i −0.289828 0.105489i 0.193015 0.981196i \(-0.438173\pi\)
−0.482842 + 0.875707i \(0.660396\pi\)
\(642\) 3294.91 + 2764.76i 0.202554 + 0.169963i
\(643\) 6426.39 11130.8i 0.394140 0.682670i −0.598851 0.800860i \(-0.704376\pi\)
0.992991 + 0.118190i \(0.0377092\pi\)
\(644\) −1358.01 7701.66i −0.0830949 0.471254i
\(645\) −742.479 4210.81i −0.0453257 0.257055i
\(646\) −20324.4 + 17054.2i −1.23785 + 1.03868i
\(647\) 3507.09 1276.48i 0.213103 0.0775633i −0.233263 0.972414i \(-0.574940\pi\)
0.446366 + 0.894850i \(0.352718\pi\)
\(648\) 3527.90 1284.05i 0.213872 0.0778430i
\(649\) −161.702 + 135.684i −0.00978021 + 0.00820657i
\(650\) −5483.82 31100.3i −0.330912 1.87670i
\(651\) 810.270 + 4595.27i 0.0487818 + 0.276655i
\(652\) 2027.54 3511.79i 0.121786 0.210939i
\(653\) 3688.82 + 3095.29i 0.221064 + 0.185495i 0.746593 0.665281i \(-0.231688\pi\)
−0.525529 + 0.850775i \(0.676133\pi\)
\(654\) −992.202 361.132i −0.0593244 0.0215923i
\(655\) 4936.53 + 8550.33i 0.294483 + 0.510059i
\(656\) 514.269 890.740i 0.0306080 0.0530146i
\(657\) 1737.21 1457.69i 0.103158 0.0865600i
\(658\) −613.859 1063.23i −0.0363689 0.0629927i
\(659\) 2015.73 11431.8i 0.119153 0.675750i −0.865457 0.500983i \(-0.832972\pi\)
0.984610 0.174767i \(-0.0559171\pi\)
\(660\) 161.462 0.00952259
\(661\) 1079.27 6120.84i 0.0635078 0.360171i −0.936448 0.350806i \(-0.885908\pi\)
0.999956 0.00936524i \(-0.00298109\pi\)
\(662\) 2025.05 + 1699.22i 0.118891 + 0.0997614i
\(663\) −14446.1 + 5257.95i −0.846214 + 0.307997i
\(664\) 2626.69 + 956.036i 0.153517 + 0.0558756i
\(665\) −21620.5 −1.26076
\(666\) 3155.74 10169.6i 0.183608 0.591687i
\(667\) −15776.4 −0.915840
\(668\) 12258.3 + 4461.64i 0.710009 + 0.258422i
\(669\) 6188.71 2252.51i 0.357652 0.130175i
\(670\) −17388.0 14590.2i −1.00262 0.841298i
\(671\) 123.814 702.186i 0.00712340 0.0403988i
\(672\) −565.917 −0.0324862
\(673\) −55.4771 + 314.626i −0.00317754 + 0.0180207i −0.986355 0.164631i \(-0.947357\pi\)
0.983178 + 0.182651i \(0.0584679\pi\)
\(674\) 7428.61 + 12866.7i 0.424539 + 0.735324i
\(675\) −14287.6 + 11988.8i −0.814714 + 0.683626i
\(676\) −7907.40 + 13696.0i −0.449898 + 0.779246i
\(677\) 16284.5 + 28205.5i 0.924465 + 1.60122i 0.792419 + 0.609977i \(0.208821\pi\)
0.132045 + 0.991244i \(0.457846\pi\)
\(678\) 2919.02 + 1062.44i 0.165346 + 0.0601809i
\(679\) 4085.98 + 3428.55i 0.230936 + 0.193779i
\(680\) −7745.26 + 13415.2i −0.436790 + 0.756542i
\(681\) 1006.53 + 5708.33i 0.0566379 + 0.321210i
\(682\) 111.964 + 634.978i 0.00628638 + 0.0356518i
\(683\) −5625.49 + 4720.34i −0.315159 + 0.264449i −0.786620 0.617437i \(-0.788171\pi\)
0.471462 + 0.881887i \(0.343727\pi\)
\(684\) 11004.5 4005.30i 0.615155 0.223898i
\(685\) −4337.30 + 1578.65i −0.241927 + 0.0880541i
\(686\) 8778.17 7365.76i 0.488560 0.409951i
\(687\) −723.702 4104.32i −0.0401906 0.227932i
\(688\) 359.595 + 2039.36i 0.0199265 + 0.113009i
\(689\) −13459.6 + 23312.7i −0.744224 + 1.28903i
\(690\) −10233.0 8586.52i −0.564586 0.473744i
\(691\) −6069.79 2209.22i −0.334162 0.121625i 0.169490 0.985532i \(-0.445788\pi\)
−0.503651 + 0.863907i \(0.668010\pi\)
\(692\) −5772.36 9998.02i −0.317099 0.549231i
\(693\) −139.755 + 242.063i −0.00766070 + 0.0132687i
\(694\) 8818.33 7399.46i 0.482333 0.404726i
\(695\) 15247.1 + 26408.7i 0.832164 + 1.44135i
\(696\) −198.243 + 1124.29i −0.0107965 + 0.0612302i
\(697\) −6890.40 −0.374451
\(698\) 3807.04 21590.8i 0.206445 1.17081i
\(699\) −5527.33 4637.98i −0.299088 0.250965i
\(700\) −7318.30 + 2663.64i −0.395151 + 0.143823i
\(701\) −15223.6 5540.93i −0.820237 0.298542i −0.102392 0.994744i \(-0.532650\pi\)
−0.717846 + 0.696202i \(0.754872\pi\)
\(702\) 14530.4 0.781219
\(703\) 8255.19 26602.9i 0.442888 1.42723i
\(704\) −78.1988 −0.00418640
\(705\) −1970.61 717.244i −0.105273 0.0383163i
\(706\) −1252.96 + 456.040i −0.0667928 + 0.0243106i
\(707\) −7529.15 6317.71i −0.400513 0.336071i
\(708\) 219.447 1244.55i 0.0116488 0.0660635i
\(709\) 16628.6 0.880818 0.440409 0.897797i \(-0.354833\pi\)
0.440409 + 0.897797i \(0.354833\pi\)
\(710\) −2251.75 + 12770.3i −0.119024 + 0.675017i
\(711\) −6024.74 10435.2i −0.317785 0.550421i
\(712\) 2458.36 2062.81i 0.129398 0.108577i
\(713\) 26672.0 46197.3i 1.40095 2.42651i
\(714\) 1895.60 + 3283.27i 0.0993571 + 0.172092i
\(715\) −1626.67 592.061i −0.0850827 0.0309676i
\(716\) −2277.62 1911.15i −0.118881 0.0997528i
\(717\) −53.0440 + 91.8749i −0.00276285 + 0.00478540i
\(718\) −971.955 5512.23i −0.0505196 0.286511i
\(719\) 3446.51 + 19546.1i 0.178766 + 1.01383i 0.933706 + 0.358040i \(0.116555\pi\)
−0.754940 + 0.655794i \(0.772334\pi\)
\(720\) 5237.70 4394.95i 0.271107 0.227486i
\(721\) −16898.2 + 6150.43i −0.872844 + 0.317689i
\(722\) 15896.1 5785.72i 0.819381 0.298230i
\(723\) −5367.16 + 4503.58i −0.276081 + 0.231660i
\(724\) 795.644 + 4512.32i 0.0408424 + 0.231629i
\(725\) 2728.16 + 15472.2i 0.139754 + 0.792583i
\(726\) −2431.36 + 4211.24i −0.124292 + 0.215281i
\(727\) 7388.45 + 6199.65i 0.376922 + 0.316275i 0.811493 0.584362i \(-0.198655\pi\)
−0.434570 + 0.900638i \(0.643100\pi\)
\(728\) 5701.41 + 2075.14i 0.290259 + 0.105645i
\(729\) 3263.59 + 5652.71i 0.165808 + 0.287188i
\(730\) 1731.79 2999.55i 0.0878034 0.152080i
\(731\) 10627.2 8917.32i 0.537706 0.451189i
\(732\) 2134.37 + 3696.83i 0.107771 + 0.186665i
\(733\) 956.226 5423.03i 0.0481842 0.273266i −0.951191 0.308602i \(-0.900139\pi\)
0.999375 + 0.0353357i \(0.0112501\pi\)
\(734\) 25073.3 1.26086
\(735\) 1431.21 8116.79i 0.0718244 0.407336i
\(736\) 4956.02 + 4158.59i 0.248208 + 0.208271i
\(737\) −721.337 + 262.545i −0.0360527 + 0.0131221i
\(738\) 2857.92 + 1040.20i 0.142550 + 0.0518838i
\(739\) −7563.94 −0.376514 −0.188257 0.982120i \(-0.560284\pi\)
−0.188257 + 0.982120i \(0.560284\pi\)
\(740\) −783.165 16243.9i −0.0389050 0.806943i
\(741\) 17750.5 0.880000
\(742\) 6238.21 + 2270.52i 0.308641 + 0.112336i
\(743\) 646.528 235.317i 0.0319230 0.0116190i −0.326009 0.945367i \(-0.605704\pi\)
0.357932 + 0.933748i \(0.383482\pi\)
\(744\) −2957.05 2481.26i −0.145714 0.122268i
\(745\) 271.519 1539.86i 0.0133526 0.0757264i
\(746\) −12199.2 −0.598721
\(747\) −1435.28 + 8139.88i −0.0703001 + 0.398692i
\(748\) 261.935 + 453.685i 0.0128039 + 0.0221770i
\(749\) −8711.62 + 7309.92i −0.424987 + 0.356607i
\(750\) −2521.84 + 4367.96i −0.122779 + 0.212660i
\(751\) −6120.54 10601.1i −0.297392 0.515099i 0.678146 0.734927i \(-0.262784\pi\)
−0.975539 + 0.219828i \(0.929450\pi\)
\(752\) 954.400 + 347.373i 0.0462811 + 0.0168449i
\(753\) 3710.65 + 3113.61i 0.179580 + 0.150685i
\(754\) 6119.87 10599.9i 0.295587 0.511971i
\(755\) −9368.85 53133.4i −0.451613 2.56122i
\(756\) −622.243 3528.92i −0.0299349 0.169769i
\(757\) 8595.52 7212.50i 0.412694 0.346292i −0.412682 0.910875i \(-0.635408\pi\)
0.825376 + 0.564584i \(0.190963\pi\)
\(758\) −17378.7 + 6325.32i −0.832747 + 0.303095i
\(759\) −424.515 + 154.511i −0.0203016 + 0.00738919i
\(760\) 13701.4 11496.8i 0.653951 0.548730i
\(761\) 6355.02 + 36041.1i 0.302719 + 1.71681i 0.634050 + 0.773292i \(0.281391\pi\)
−0.331331 + 0.943515i \(0.607498\pi\)
\(762\) −67.2543 381.418i −0.00319733 0.0181330i
\(763\) 1395.85 2417.69i 0.0662297 0.114713i
\(764\) 1817.35 + 1524.94i 0.0860596 + 0.0722126i
\(765\) −43042.3 15666.1i −2.03425 0.740405i
\(766\) −5231.21 9060.72i −0.246751 0.427385i
\(767\) −6774.44 + 11733.7i −0.318919 + 0.552384i
\(768\) 358.635 300.930i 0.0168504 0.0141392i
\(769\) 13846.3 + 23982.4i 0.649297 + 1.12462i 0.983291 + 0.182040i