Properties

Label 43.4.g.a.10.8
Level 43
Weight 4
Character 43.10
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.8
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.747545 + 3.27521i) q^{2} +(-6.89751 - 6.39996i) q^{3} +(-2.96041 + 1.42566i) q^{4} +(-13.7333 + 2.06996i) q^{5} +(15.8050 - 27.3750i) q^{6} +(-15.9110 - 27.5586i) q^{7} +(9.87423 + 12.3819i) q^{8} +(4.59853 + 61.3631i) q^{9} +O(q^{10})\) \(q+(0.747545 + 3.27521i) q^{2} +(-6.89751 - 6.39996i) q^{3} +(-2.96041 + 1.42566i) q^{4} +(-13.7333 + 2.06996i) q^{5} +(15.8050 - 27.3750i) q^{6} +(-15.9110 - 27.5586i) q^{7} +(9.87423 + 12.3819i) q^{8} +(4.59853 + 61.3631i) q^{9} +(-17.0458 - 43.4320i) q^{10} +(4.43182 + 2.13425i) q^{11} +(29.5436 + 9.11299i) q^{12} +(4.71211 - 12.0063i) q^{13} +(78.3660 - 72.7130i) q^{14} +(107.973 + 73.6149i) q^{15} +(-49.5612 + 62.1477i) q^{16} +(-86.4223 - 13.0261i) q^{17} +(-197.539 + 60.9328i) q^{18} +(5.50353 - 73.4395i) q^{19} +(37.7051 - 25.7069i) q^{20} +(-66.6278 + 291.915i) q^{21} +(-3.67714 + 16.1106i) q^{22} +(15.6445 - 10.6662i) q^{23} +(11.1359 - 148.599i) q^{24} +(64.8718 - 20.0103i) q^{25} +(42.8455 + 6.45793i) q^{26} +(202.604 - 254.058i) q^{27} +(86.3920 + 58.9011i) q^{28} +(126.389 - 117.272i) q^{29} +(-160.389 + 408.665i) q^{30} +(-21.4337 - 6.61141i) q^{31} +(-126.446 - 60.8934i) q^{32} +(-16.9094 - 43.0845i) q^{33} +(-21.9415 - 292.789i) q^{34} +(275.555 + 345.535i) q^{35} +(-101.096 - 175.104i) q^{36} +(93.5004 - 161.947i) q^{37} +(244.644 - 36.8741i) q^{38} +(-109.341 + 52.6561i) q^{39} +(-161.236 - 149.605i) q^{40} +(23.3344 + 102.235i) q^{41} -1005.89 q^{42} +(-265.224 - 95.7258i) q^{43} -16.1627 q^{44} +(-190.172 - 833.198i) q^{45} +(46.6291 + 43.2654i) q^{46} +(-190.069 + 91.5326i) q^{47} +(739.592 - 111.475i) q^{48} +(-334.817 + 579.921i) q^{49} +(114.032 + 197.510i) q^{50} +(512.733 + 642.947i) q^{51} +(3.16705 + 42.2613i) q^{52} +(-104.618 - 266.562i) q^{53} +(983.547 + 473.652i) q^{54} +(-65.2813 - 20.1366i) q^{55} +(184.119 - 469.128i) q^{56} +(-507.971 + 471.328i) q^{57} +(478.572 + 326.285i) q^{58} +(-6.98322 + 8.75668i) q^{59} +(-424.594 - 63.9973i) q^{60} +(-528.114 + 162.901i) q^{61} +(5.63111 - 75.1420i) q^{62} +(1617.91 - 1103.07i) q^{63} +(-36.5912 + 160.317i) q^{64} +(-39.8603 + 174.639i) q^{65} +(128.470 - 87.5895i) q^{66} +(37.3088 - 497.851i) q^{67} +(274.416 - 84.6461i) q^{68} +(-176.171 - 26.5536i) q^{69} +(-925.709 + 1160.80i) q^{70} +(-231.557 - 157.873i) q^{71} +(-714.384 + 662.852i) q^{72} +(-34.3425 + 87.5033i) q^{73} +(600.307 + 185.170i) q^{74} +(-575.519 - 277.155i) q^{75} +(88.4069 + 225.257i) q^{76} +(-11.6975 - 156.093i) q^{77} +(-254.197 - 318.753i) q^{78} +(274.671 + 475.744i) q^{79} +(551.994 - 956.082i) q^{80} +(-1380.53 + 208.082i) q^{81} +(-317.397 + 152.850i) q^{82} +(750.269 + 696.148i) q^{83} +(-218.926 - 959.177i) q^{84} +1213.83 q^{85} +(115.255 - 940.222i) q^{86} -1622.31 q^{87} +(17.3347 + 75.9485i) q^{88} +(-816.428 - 757.534i) q^{89} +(2586.73 - 1245.71i) q^{90} +(-405.850 + 61.1721i) q^{91} +(-31.1077 + 53.8801i) q^{92} +(105.526 + 182.777i) q^{93} +(-441.873 - 554.092i) q^{94} +(76.4353 + 1019.96i) q^{95} +(482.451 + 1229.27i) q^{96} +(229.558 + 110.549i) q^{97} +(-2149.65 - 663.080i) q^{98} +(-110.585 + 281.765i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.747545 + 3.27521i 0.264297 + 1.15796i 0.916538 + 0.399949i \(0.130972\pi\)
−0.652241 + 0.758012i \(0.726171\pi\)
\(3\) −6.89751 6.39996i −1.32743 1.23167i −0.952471 0.304630i \(-0.901467\pi\)
−0.374956 0.927042i \(-0.622342\pi\)
\(4\) −2.96041 + 1.42566i −0.370051 + 0.178207i
\(5\) −13.7333 + 2.06996i −1.22834 + 0.185143i −0.730979 0.682400i \(-0.760936\pi\)
−0.497363 + 0.867543i \(0.665698\pi\)
\(6\) 15.8050 27.3750i 1.07539 1.86264i
\(7\) −15.9110 27.5586i −0.859111 1.48802i −0.872778 0.488118i \(-0.837684\pi\)
0.0136666 0.999907i \(-0.495650\pi\)
\(8\) 9.87423 + 12.3819i 0.436383 + 0.547207i
\(9\) 4.59853 + 61.3631i 0.170316 + 2.27271i
\(10\) −17.0458 43.4320i −0.539035 1.37344i
\(11\) 4.43182 + 2.13425i 0.121477 + 0.0585002i 0.493635 0.869669i \(-0.335668\pi\)
−0.372158 + 0.928169i \(0.621382\pi\)
\(12\) 29.5436 + 9.11299i 0.710709 + 0.219225i
\(13\) 4.71211 12.0063i 0.100531 0.256149i −0.871755 0.489941i \(-0.837018\pi\)
0.972287 + 0.233792i \(0.0751135\pi\)
\(14\) 78.3660 72.7130i 1.49601 1.38810i
\(15\) 107.973 + 73.6149i 1.85857 + 1.26715i
\(16\) −49.5612 + 62.1477i −0.774393 + 0.971058i
\(17\) −86.4223 13.0261i −1.23297 0.185840i −0.499954 0.866052i \(-0.666650\pi\)
−0.733016 + 0.680211i \(0.761888\pi\)
\(18\) −197.539 + 60.9328i −2.58669 + 0.797889i
\(19\) 5.50353 73.4395i 0.0664525 0.886747i −0.859990 0.510311i \(-0.829530\pi\)
0.926443 0.376436i \(-0.122851\pi\)
\(20\) 37.7051 25.7069i 0.421555 0.287412i
\(21\) −66.6278 + 291.915i −0.692351 + 3.03339i
\(22\) −3.67714 + 16.1106i −0.0356349 + 0.156127i
\(23\) 15.6445 10.6662i 0.141830 0.0966984i −0.490326 0.871539i \(-0.663122\pi\)
0.632157 + 0.774841i \(0.282170\pi\)
\(24\) 11.1359 148.599i 0.0947132 1.26386i
\(25\) 64.8718 20.0103i 0.518974 0.160082i
\(26\) 42.8455 + 6.45793i 0.323181 + 0.0487117i
\(27\) 202.604 254.058i 1.44412 1.81087i
\(28\) 86.3920 + 58.9011i 0.583091 + 0.397545i
\(29\) 126.389 117.272i 0.809306 0.750926i −0.162500 0.986709i \(-0.551956\pi\)
0.971806 + 0.235782i \(0.0757652\pi\)
\(30\) −160.389 + 408.665i −0.976097 + 2.48706i
\(31\) −21.4337 6.61141i −0.124181 0.0383046i 0.232042 0.972706i \(-0.425459\pi\)
−0.356223 + 0.934401i \(0.615936\pi\)
\(32\) −126.446 60.8934i −0.698525 0.336392i
\(33\) −16.9094 43.0845i −0.0891986 0.227274i
\(34\) −21.9415 292.789i −0.110674 1.47685i
\(35\) 275.555 + 345.535i 1.33078 + 1.66874i
\(36\) −101.096 175.104i −0.468038 0.810666i
\(37\) 93.5004 161.947i 0.415443 0.719568i −0.580032 0.814594i \(-0.696960\pi\)
0.995475 + 0.0950258i \(0.0302934\pi\)
\(38\) 244.644 36.8741i 1.04438 0.157415i
\(39\) −109.341 + 52.6561i −0.448940 + 0.216198i
\(40\) −161.236 149.605i −0.637340 0.591365i
\(41\) 23.3344 + 102.235i 0.0888835 + 0.389424i 0.999728 0.0233258i \(-0.00742550\pi\)
−0.910844 + 0.412750i \(0.864568\pi\)
\(42\) −1005.89 −3.69553
\(43\) −265.224 95.7258i −0.940610 0.339489i
\(44\) −16.1627 −0.0553778
\(45\) −190.172 833.198i −0.629982 2.76013i
\(46\) 46.6291 + 43.2654i 0.149458 + 0.138677i
\(47\) −190.069 + 91.5326i −0.589882 + 0.284072i −0.704918 0.709289i \(-0.749016\pi\)
0.115036 + 0.993361i \(0.463302\pi\)
\(48\) 739.592 111.475i 2.22398 0.335210i
\(49\) −334.817 + 579.921i −0.976144 + 1.69073i
\(50\) 114.032 + 197.510i 0.322532 + 0.558642i
\(51\) 512.733 + 642.947i 1.40778 + 1.76530i
\(52\) 3.16705 + 42.2613i 0.00844597 + 0.112704i
\(53\) −104.618 266.562i −0.271139 0.690851i −0.999981 0.00616927i \(-0.998036\pi\)
0.728842 0.684682i \(-0.240059\pi\)
\(54\) 983.547 + 473.652i 2.47859 + 1.19363i
\(55\) −65.2813 20.1366i −0.160046 0.0493677i
\(56\) 184.119 469.128i 0.439356 1.11946i
\(57\) −507.971 + 471.328i −1.18039 + 1.09524i
\(58\) 478.572 + 326.285i 1.08344 + 0.738677i
\(59\) −6.98322 + 8.75668i −0.0154091 + 0.0193224i −0.789476 0.613781i \(-0.789648\pi\)
0.774067 + 0.633103i \(0.218219\pi\)
\(60\) −424.594 63.9973i −0.913581 0.137700i
\(61\) −528.114 + 162.901i −1.10849 + 0.341924i −0.794355 0.607453i \(-0.792191\pi\)
−0.314137 + 0.949378i \(0.601715\pi\)
\(62\) 5.63111 75.1420i 0.0115347 0.153920i
\(63\) 1617.91 1103.07i 3.23552 2.20594i
\(64\) −36.5912 + 160.317i −0.0714673 + 0.313119i
\(65\) −39.8603 + 174.639i −0.0760625 + 0.333252i
\(66\) 128.470 87.5895i 0.239600 0.163356i
\(67\) 37.3088 497.851i 0.0680298 0.907794i −0.853900 0.520437i \(-0.825769\pi\)
0.921930 0.387357i \(-0.126612\pi\)
\(68\) 274.416 84.6461i 0.489380 0.150954i
\(69\) −176.171 26.5536i −0.307370 0.0463286i
\(70\) −925.709 + 1160.80i −1.58062 + 1.98203i
\(71\) −231.557 157.873i −0.387054 0.263889i 0.354123 0.935199i \(-0.384779\pi\)
−0.741177 + 0.671310i \(0.765732\pi\)
\(72\) −714.384 + 662.852i −1.16932 + 1.08497i
\(73\) −34.3425 + 87.5033i −0.0550615 + 0.140294i −0.955758 0.294155i \(-0.904962\pi\)
0.900696 + 0.434449i \(0.143057\pi\)
\(74\) 600.307 + 185.170i 0.943031 + 0.290887i
\(75\) −575.519 277.155i −0.886069 0.426708i
\(76\) 88.4069 + 225.257i 0.133434 + 0.339984i
\(77\) −11.6975 156.093i −0.0173125 0.231019i
\(78\) −254.197 318.753i −0.369002 0.462714i
\(79\) 274.671 + 475.744i 0.391176 + 0.677536i 0.992605 0.121390i \(-0.0387352\pi\)
−0.601429 + 0.798926i \(0.705402\pi\)
\(80\) 551.994 956.082i 0.771435 1.33617i
\(81\) −1380.53 + 208.082i −1.89373 + 0.285435i
\(82\) −317.397 + 152.850i −0.427446 + 0.205847i
\(83\) 750.269 + 696.148i 0.992201 + 0.920628i 0.996846 0.0793611i \(-0.0252880\pi\)
−0.00464476 + 0.999989i \(0.501478\pi\)
\(84\) −218.926 959.177i −0.284366 1.24589i
\(85\) 1213.83 1.54892
\(86\) 115.255 940.222i 0.144515 1.17892i
\(87\) −1622.31 −1.99919
\(88\) 17.3347 + 75.9485i 0.0209988 + 0.0920015i
\(89\) −816.428 757.534i −0.972373 0.902230i 0.0228617 0.999739i \(-0.492722\pi\)
−0.995235 + 0.0975084i \(0.968913\pi\)
\(90\) 2586.73 1245.71i 3.02962 1.45899i
\(91\) −405.850 + 61.1721i −0.467524 + 0.0704679i
\(92\) −31.1077 + 53.8801i −0.0352522 + 0.0610585i
\(93\) 105.526 + 182.777i 0.117662 + 0.203796i
\(94\) −441.873 554.092i −0.484849 0.607981i
\(95\) 76.4353 + 1019.96i 0.0825484 + 1.10153i
\(96\) 482.451 + 1229.27i 0.512916 + 1.30689i
\(97\) 229.558 + 110.549i 0.240290 + 0.115717i 0.550154 0.835064i \(-0.314569\pi\)
−0.309864 + 0.950781i \(0.600283\pi\)
\(98\) −2149.65 663.080i −2.21579 0.683481i
\(99\) −110.585 + 281.765i −0.112264 + 0.286045i
\(100\) −163.519 + 151.724i −0.163519 + 0.151724i
\(101\) 1012.72 + 690.459i 0.997715 + 0.680230i 0.947913 0.318529i \(-0.103189\pi\)
0.0498014 + 0.998759i \(0.484141\pi\)
\(102\) −1722.49 + 2159.94i −1.67208 + 2.09672i
\(103\) 1077.07 + 162.342i 1.03036 + 0.155302i 0.642396 0.766373i \(-0.277941\pi\)
0.387964 + 0.921675i \(0.373179\pi\)
\(104\) 195.189 60.2078i 0.184037 0.0567679i
\(105\) 310.765 4146.87i 0.288834 3.85422i
\(106\) 794.840 541.913i 0.728317 0.496558i
\(107\) 319.430 1399.51i 0.288602 1.26445i −0.597842 0.801614i \(-0.703975\pi\)
0.886444 0.462836i \(-0.153168\pi\)
\(108\) −237.592 + 1040.96i −0.211688 + 0.927466i
\(109\) 613.178 418.057i 0.538824 0.367364i −0.263120 0.964763i \(-0.584752\pi\)
0.801944 + 0.597399i \(0.203799\pi\)
\(110\) 17.1509 228.863i 0.0148661 0.198375i
\(111\) −1681.38 + 518.636i −1.43774 + 0.443485i
\(112\) 2501.27 + 377.006i 2.11025 + 0.318069i
\(113\) −358.708 + 449.806i −0.298623 + 0.374462i −0.908393 0.418117i \(-0.862690\pi\)
0.609770 + 0.792578i \(0.291262\pi\)
\(114\) −1923.43 1311.37i −1.58022 1.07738i
\(115\) −192.772 + 178.866i −0.156313 + 0.145038i
\(116\) −206.974 + 527.360i −0.165664 + 0.422105i
\(117\) 758.411 + 233.939i 0.599274 + 0.184852i
\(118\) −33.9002 16.3255i −0.0264472 0.0127363i
\(119\) 1016.08 + 2588.94i 0.782724 + 1.99435i
\(120\) 154.661 + 2063.80i 0.117654 + 1.56999i
\(121\) −814.779 1021.70i −0.612155 0.767619i
\(122\) −928.324 1607.91i −0.688906 1.19322i
\(123\) 493.349 854.505i 0.361657 0.626408i
\(124\) 72.8780 10.9846i 0.0527793 0.00795520i
\(125\) 714.646 344.155i 0.511359 0.246257i
\(126\) 4822.26 + 4474.40i 3.40953 + 3.16358i
\(127\) −384.769 1685.78i −0.268841 1.17787i −0.911364 0.411602i \(-0.864970\pi\)
0.642523 0.766266i \(-0.277888\pi\)
\(128\) −1675.18 −1.15677
\(129\) 1216.74 + 2357.69i 0.830451 + 1.60917i
\(130\) −601.778 −0.405995
\(131\) 174.171 + 763.093i 0.116163 + 0.508945i 0.999213 + 0.0396654i \(0.0126292\pi\)
−0.883050 + 0.469280i \(0.844514\pi\)
\(132\) 111.483 + 103.441i 0.0735100 + 0.0682073i
\(133\) −2111.46 + 1016.82i −1.37659 + 0.662931i
\(134\) 1658.46 249.972i 1.06917 0.161151i
\(135\) −2256.53 + 3908.43i −1.43860 + 2.49173i
\(136\) −692.066 1198.69i −0.436354 0.755788i
\(137\) −349.523 438.287i −0.217969 0.273324i 0.660810 0.750553i \(-0.270213\pi\)
−0.878779 + 0.477229i \(0.841641\pi\)
\(138\) −44.7276 596.848i −0.0275903 0.368167i
\(139\) −1034.10 2634.85i −0.631018 1.60781i −0.784833 0.619708i \(-0.787251\pi\)
0.153815 0.988100i \(-0.450844\pi\)
\(140\) −1308.37 630.077i −0.789839 0.380366i
\(141\) 1896.81 + 585.088i 1.13291 + 0.349456i
\(142\) 343.968 876.416i 0.203276 0.517938i
\(143\) 46.5077 43.1528i 0.0271970 0.0252351i
\(144\) −4041.48 2755.44i −2.33882 1.59458i
\(145\) −1492.99 + 1872.15i −0.855076 + 1.07223i
\(146\) −312.264 47.0662i −0.177008 0.0266796i
\(147\) 6020.88 1857.19i 3.37819 1.04203i
\(148\) −45.9178 + 612.730i −0.0255028 + 0.340312i
\(149\) −1978.80 + 1349.12i −1.08798 + 0.741776i −0.967987 0.250999i \(-0.919241\pi\)
−0.119997 + 0.992774i \(0.538289\pi\)
\(150\) 477.515 2092.13i 0.259926 1.13881i
\(151\) −144.414 + 632.718i −0.0778293 + 0.340992i −0.998819 0.0485957i \(-0.984525\pi\)
0.920989 + 0.389588i \(0.127383\pi\)
\(152\) 963.664 657.015i 0.514233 0.350598i
\(153\) 401.904 5363.04i 0.212366 2.83383i
\(154\) 502.492 154.998i 0.262935 0.0811047i
\(155\) 308.040 + 46.4295i 0.159628 + 0.0240601i
\(156\) 248.626 311.767i 0.127603 0.160009i
\(157\) 2134.59 + 1455.34i 1.08509 + 0.739800i 0.967401 0.253251i \(-0.0814998\pi\)
0.117687 + 0.993051i \(0.462452\pi\)
\(158\) −1352.83 + 1255.24i −0.681173 + 0.632037i
\(159\) −984.383 + 2508.17i −0.490985 + 1.25101i
\(160\) 1862.57 + 574.527i 0.920308 + 0.283877i
\(161\) −542.865 261.430i −0.265738 0.127973i
\(162\) −1713.52 4365.98i −0.831030 2.11743i
\(163\) −229.100 3057.12i −0.110089 1.46903i −0.729508 0.683973i \(-0.760251\pi\)
0.619419 0.785061i \(-0.287368\pi\)
\(164\) −214.831 269.390i −0.102290 0.128267i
\(165\) 321.405 + 556.690i 0.151645 + 0.262656i
\(166\) −1719.17 + 2977.69i −0.803815 + 1.39225i
\(167\) −1774.65 + 267.486i −0.822316 + 0.123944i −0.546705 0.837325i \(-0.684118\pi\)
−0.275611 + 0.961269i \(0.588880\pi\)
\(168\) −4272.36 + 2057.46i −1.96202 + 0.944860i
\(169\) 1488.57 + 1381.19i 0.677546 + 0.628671i
\(170\) 907.389 + 3975.53i 0.409374 + 1.79358i
\(171\) 4531.79 2.02663
\(172\) 921.642 94.7307i 0.408573 0.0419950i
\(173\) 3639.36 1.59939 0.799697 0.600404i \(-0.204994\pi\)
0.799697 + 0.600404i \(0.204994\pi\)
\(174\) −1212.75 5313.39i −0.528380 2.31498i
\(175\) −1583.63 1469.39i −0.684063 0.634718i
\(176\) −352.285 + 169.652i −0.150878 + 0.0726590i
\(177\) 104.209 15.7070i 0.0442533 0.00667012i
\(178\) 1870.77 3240.26i 0.787752 1.36443i
\(179\) 414.924 + 718.669i 0.173256 + 0.300089i 0.939556 0.342394i \(-0.111238\pi\)
−0.766300 + 0.642483i \(0.777904\pi\)
\(180\) 1750.84 + 2195.49i 0.725000 + 0.909121i
\(181\) −195.301 2606.11i −0.0802023 1.07023i −0.881570 0.472053i \(-0.843513\pi\)
0.801368 0.598172i \(-0.204106\pi\)
\(182\) −503.742 1283.51i −0.205164 0.522750i
\(183\) 4685.23 + 2256.29i 1.89258 + 0.911419i
\(184\) 286.545 + 88.3875i 0.114807 + 0.0354131i
\(185\) −948.843 + 2417.61i −0.377083 + 0.960792i
\(186\) −519.746 + 482.254i −0.204891 + 0.190111i
\(187\) −355.208 242.176i −0.138906 0.0947043i
\(188\) 432.189 541.947i 0.167663 0.210242i
\(189\) −10225.1 1541.19i −3.93527 0.593147i
\(190\) −3283.44 + 1012.81i −1.25371 + 0.386719i
\(191\) 45.2615 603.973i 0.0171467 0.228806i −0.982046 0.188640i \(-0.939592\pi\)
0.999193 0.0401664i \(-0.0127888\pi\)
\(192\) 1278.41 871.604i 0.480527 0.327618i
\(193\) −615.255 + 2695.61i −0.229467 + 1.00536i 0.720610 + 0.693341i \(0.243862\pi\)
−0.950076 + 0.312018i \(0.898995\pi\)
\(194\) −190.467 + 834.491i −0.0704884 + 0.308830i
\(195\) 1392.62 949.473i 0.511424 0.348683i
\(196\) 164.428 2194.14i 0.0599227 0.799613i
\(197\) −4097.33 + 1263.86i −1.48184 + 0.457087i −0.927061 0.374911i \(-0.877673\pi\)
−0.554779 + 0.831998i \(0.687197\pi\)
\(198\) −1005.51 151.556i −0.360900 0.0543969i
\(199\) 466.110 584.483i 0.166038 0.208206i −0.691850 0.722041i \(-0.743204\pi\)
0.857889 + 0.513835i \(0.171776\pi\)
\(200\) 888.324 + 605.649i 0.314070 + 0.214129i
\(201\) −3443.57 + 3195.16i −1.20841 + 1.12124i
\(202\) −1504.35 + 3833.01i −0.523987 + 1.33510i
\(203\) −5242.82 1617.20i −1.81268 0.559138i
\(204\) −2434.52 1172.40i −0.835542 0.402376i
\(205\) −532.080 1355.72i −0.181278 0.461890i
\(206\) 273.454 + 3648.99i 0.0924876 + 1.23416i
\(207\) 726.454 + 910.945i 0.243923 + 0.305870i
\(208\) 512.625 + 887.892i 0.170885 + 0.295982i
\(209\) 181.129 313.725i 0.0599473 0.103832i
\(210\) 13814.2 2082.15i 4.53937 0.684201i
\(211\) 3538.06 1703.84i 1.15436 0.555911i 0.244021 0.969770i \(-0.421534\pi\)
0.910341 + 0.413859i \(0.135819\pi\)
\(212\) 689.738 + 639.983i 0.223450 + 0.207331i
\(213\) 586.789 + 2570.89i 0.188761 + 0.827016i
\(214\) 4822.49 1.54046
\(215\) 3840.54 + 765.627i 1.21824 + 0.242862i
\(216\) 5146.28 1.62111
\(217\) 158.829 + 695.875i 0.0496867 + 0.217692i
\(218\) 1827.60 + 1695.77i 0.567802 + 0.526843i
\(219\) 796.895 383.765i 0.245887 0.118413i
\(220\) 221.967 33.4562i 0.0680229 0.0102528i
\(221\) −563.626 + 976.229i −0.171555 + 0.297142i
\(222\) −2955.55 5119.16i −0.893528 1.54764i
\(223\) 129.366 + 162.219i 0.0388474 + 0.0487131i 0.800876 0.598831i \(-0.204368\pi\)
−0.762028 + 0.647544i \(0.775796\pi\)
\(224\) 333.748 + 4453.56i 0.0995513 + 1.32842i
\(225\) 1526.21 + 3888.71i 0.452210 + 1.15221i
\(226\) −1741.36 838.593i −0.512537 0.246825i
\(227\) −5389.16 1662.34i −1.57573 0.486049i −0.621074 0.783752i \(-0.713303\pi\)
−0.954658 + 0.297703i \(0.903779\pi\)
\(228\) 831.848 2119.51i 0.241625 0.615650i
\(229\) 4502.45 4177.66i 1.29926 1.20554i 0.334501 0.942395i \(-0.391432\pi\)
0.964757 0.263141i \(-0.0847584\pi\)
\(230\) −729.928 497.656i −0.209261 0.142672i
\(231\) −918.304 + 1151.52i −0.261558 + 0.327984i
\(232\) 2700.04 + 406.966i 0.764080 + 0.115167i
\(233\) −5493.31 + 1694.46i −1.54454 + 0.476428i −0.945865 0.324561i \(-0.894783\pi\)
−0.598678 + 0.800990i \(0.704307\pi\)
\(234\) −199.252 + 2658.83i −0.0556645 + 0.742792i
\(235\) 2420.81 1650.48i 0.671983 0.458150i
\(236\) 8.18915 35.8790i 0.00225876 0.00989629i
\(237\) 1150.19 5039.33i 0.315245 1.38118i
\(238\) −7719.73 + 5263.22i −2.10250 + 1.43346i
\(239\) −301.051 + 4017.24i −0.0814785 + 1.08726i 0.795254 + 0.606277i \(0.207338\pi\)
−0.876732 + 0.480979i \(0.840281\pi\)
\(240\) −9926.27 + 3061.85i −2.66974 + 0.823506i
\(241\) 208.272 + 31.3919i 0.0556680 + 0.00839059i 0.176817 0.984244i \(-0.443420\pi\)
−0.121149 + 0.992634i \(0.538658\pi\)
\(242\) 2737.20 3432.34i 0.727081 0.911731i
\(243\) 3604.78 + 2457.70i 0.951633 + 0.648812i
\(244\) 1331.19 1235.16i 0.349265 0.324071i
\(245\) 3397.73 8657.28i 0.886012 2.25752i
\(246\) 3167.48 + 977.039i 0.820940 + 0.253226i
\(247\) −855.802 412.132i −0.220459 0.106167i
\(248\) −129.779 330.672i −0.0332298 0.0846681i
\(249\) −719.674 9603.38i −0.183162 2.44413i
\(250\) 1661.41 + 2083.34i 0.420307 + 0.527048i
\(251\) −2636.29 4566.18i −0.662952 1.14827i −0.979836 0.199803i \(-0.935970\pi\)
0.316884 0.948464i \(-0.397363\pi\)
\(252\) −3217.08 + 5572.14i −0.804194 + 1.39290i
\(253\) 92.0981 13.8815i 0.0228860 0.00344951i
\(254\) 5233.66 2520.40i 1.29287 0.622614i
\(255\) −8372.38 7768.43i −2.05607 1.90776i
\(256\) −959.545 4204.04i −0.234264 1.02638i
\(257\) −2088.65 −0.506951 −0.253475 0.967342i \(-0.581574\pi\)
−0.253475 + 0.967342i \(0.581574\pi\)
\(258\) −6812.35 + 5747.56i −1.64387 + 1.38693i
\(259\) −5950.73 −1.42765
\(260\) −130.973 573.831i −0.0312408 0.136875i
\(261\) 7777.38 + 7216.35i 1.84447 + 1.71142i
\(262\) −2369.09 + 1140.89i −0.558637 + 0.269025i
\(263\) −2471.54 + 372.525i −0.579475 + 0.0873417i −0.432238 0.901760i \(-0.642276\pi\)
−0.147237 + 0.989101i \(0.547038\pi\)
\(264\) 366.500 634.797i 0.0854414 0.147989i
\(265\) 1988.52 + 3444.22i 0.460958 + 0.798403i
\(266\) −4908.72 6155.34i −1.13148 1.41883i
\(267\) 783.135 + 10450.2i 0.179502 + 2.39529i
\(268\) 599.316 + 1527.03i 0.136601 + 0.348054i
\(269\) 249.890 + 120.341i 0.0566397 + 0.0272762i 0.461989 0.886886i \(-0.347136\pi\)
−0.405350 + 0.914162i \(0.632850\pi\)
\(270\) −14487.8 4468.89i −3.26555 1.00729i
\(271\) 1900.65 4842.78i 0.426038 1.08553i −0.543244 0.839575i \(-0.682804\pi\)
0.969282 0.245952i \(-0.0791005\pi\)
\(272\) 5092.73 4725.36i 1.13527 1.05337i
\(273\) 3190.86 + 2175.49i 0.707397 + 0.482295i
\(274\) 1174.20 1472.40i 0.258890 0.324638i
\(275\) 330.207 + 49.7707i 0.0724082 + 0.0109138i
\(276\) 559.396 172.551i 0.121999 0.0376316i
\(277\) −328.213 + 4379.69i −0.0711927 + 0.950001i 0.841210 + 0.540708i \(0.181844\pi\)
−0.912403 + 0.409293i \(0.865775\pi\)
\(278\) 7856.65 5356.57i 1.69500 1.15563i
\(279\) 307.133 1345.64i 0.0659053 0.288750i
\(280\) −1557.48 + 6823.78i −0.332420 + 1.45643i
\(281\) 3314.85 2260.03i 0.703728 0.479794i −0.157821 0.987468i \(-0.550447\pi\)
0.861549 + 0.507674i \(0.169495\pi\)
\(282\) −498.336 + 6649.83i −0.105232 + 1.40422i
\(283\) −5916.25 + 1824.92i −1.24270 + 0.383323i −0.845285 0.534316i \(-0.820569\pi\)
−0.397416 + 0.917638i \(0.630093\pi\)
\(284\) 910.577 + 137.247i 0.190256 + 0.0286765i
\(285\) 6000.48 7524.36i 1.24715 1.56388i
\(286\) 176.101 + 120.064i 0.0364093 + 0.0248235i
\(287\) 2446.17 2269.72i 0.503112 0.466819i
\(288\) 3155.14 8039.17i 0.645550 1.64483i
\(289\) 2604.41 + 803.354i 0.530106 + 0.163516i
\(290\) −7247.76 3490.34i −1.46760 0.706757i
\(291\) −875.869 2231.68i −0.176441 0.449565i
\(292\) −23.0819 308.006i −0.00462590 0.0617284i
\(293\) 5011.49 + 6284.20i 0.999229 + 1.25299i 0.967335 + 0.253502i \(0.0815825\pi\)
0.0318942 + 0.999491i \(0.489846\pi\)
\(294\) 10583.6 + 18331.3i 2.09948 + 3.63640i
\(295\) 77.7765 134.713i 0.0153503 0.0265874i
\(296\) 2928.46 441.394i 0.575045 0.0866741i
\(297\) 1440.13 693.530i 0.281363 0.135497i
\(298\) −5897.90 5472.45i −1.14650 1.06379i
\(299\) −54.3430 238.092i −0.0105108 0.0460510i
\(300\) 2098.90 0.403933
\(301\) 1581.90 + 8832.28i 0.302920 + 1.69131i
\(302\) −2180.24 −0.415426
\(303\) −2566.32 11243.8i −0.486573 2.13181i
\(304\) 4291.34 + 3981.78i 0.809622 + 0.751220i
\(305\) 6915.53 3330.35i 1.29830 0.625230i
\(306\) 17865.5 2692.79i 3.33759 0.503061i
\(307\) −1148.22 + 1988.77i −0.213460 + 0.369723i −0.952795 0.303614i \(-0.901807\pi\)
0.739335 + 0.673338i \(0.235140\pi\)
\(308\) 257.164 + 445.422i 0.0475757 + 0.0824035i
\(309\) −6390.13 8012.97i −1.17645 1.47522i
\(310\) 78.2072 + 1043.60i 0.0143286 + 0.191202i
\(311\) 35.4770 + 90.3939i 0.00646854 + 0.0164816i 0.934072 0.357086i \(-0.116230\pi\)
−0.927603 + 0.373567i \(0.878134\pi\)
\(312\) −1731.64 833.916i −0.314215 0.151318i
\(313\) 3169.37 + 977.622i 0.572343 + 0.176545i 0.567399 0.823443i \(-0.307950\pi\)
0.00494467 + 0.999988i \(0.498426\pi\)
\(314\) −3170.83 + 8079.15i −0.569874 + 1.45202i
\(315\) −19935.9 + 18497.9i −3.56592 + 3.30869i
\(316\) −1491.38 1016.81i −0.265497 0.181013i
\(317\) −199.447 + 250.098i −0.0353377 + 0.0443121i −0.799186 0.601083i \(-0.794736\pi\)
0.763849 + 0.645395i \(0.223307\pi\)
\(318\) −8950.63 1349.09i −1.57839 0.237903i
\(319\) 810.423 249.982i 0.142241 0.0438756i
\(320\) 170.669 2277.42i 0.0298146 0.397848i
\(321\) −11160.1 + 7608.83i −1.94049 + 1.32300i
\(322\) 450.422 1973.43i 0.0779535 0.341536i
\(323\) −1432.26 + 6275.13i −0.246727 + 1.08098i
\(324\) 3790.29 2584.17i 0.649912 0.443102i
\(325\) 65.4342 873.159i 0.0111681 0.149028i
\(326\) 9841.45 3035.69i 1.67199 0.515740i
\(327\) −6904.95 1040.75i −1.16772 0.176006i
\(328\) −1035.45 + 1298.41i −0.174309 + 0.218576i
\(329\) 5546.69 + 3781.67i 0.929481 + 0.633709i
\(330\) −1583.01 + 1468.82i −0.264066 + 0.245018i
\(331\) 2876.15 7328.32i 0.477606 1.21692i −0.465684 0.884951i \(-0.654192\pi\)
0.943290 0.331970i \(-0.107713\pi\)
\(332\) −3213.57 991.255i −0.531228 0.163862i
\(333\) 10367.6 + 4992.76i 1.70612 + 0.821626i
\(334\) −2202.70 5612.40i −0.360858 0.919451i
\(335\) 518.160 + 6914.36i 0.0845077 + 1.12768i
\(336\) −14839.7 18608.4i −2.40944 3.02135i
\(337\) −3729.11 6459.00i −0.602781 1.04405i −0.992398 0.123071i \(-0.960726\pi\)
0.389617 0.920977i \(-0.372608\pi\)
\(338\) −3410.91 + 5907.87i −0.548903 + 0.950727i
\(339\) 5352.93 806.825i 0.857614 0.129265i
\(340\) −3593.42 + 1730.50i −0.573178 + 0.276028i
\(341\) −80.8798 75.0455i −0.0128442 0.0119177i
\(342\) 3387.71 + 14842.5i 0.535633 + 2.34676i
\(343\) 10394.2 1.63624
\(344\) −1433.61 4229.19i −0.224695 0.662856i
\(345\) 2474.38 0.386133
\(346\) 2720.58 + 11919.6i 0.422715 + 1.85203i
\(347\) −3952.26 3667.16i −0.611436 0.567330i 0.312480 0.949924i \(-0.398840\pi\)
−0.923916 + 0.382594i \(0.875031\pi\)
\(348\) 4802.69 2312.85i 0.739802 0.356270i
\(349\) −10056.3 + 1515.74i −1.54241 + 0.232480i −0.864487 0.502656i \(-0.832356\pi\)
−0.677919 + 0.735136i \(0.737118\pi\)
\(350\) 3628.73 6285.14i 0.554182 0.959872i
\(351\) −2095.59 3629.67i −0.318673 0.551959i
\(352\) −430.426 539.738i −0.0651756 0.0817276i
\(353\) 531.751 + 7095.73i 0.0801764 + 1.06988i 0.881667 + 0.471872i \(0.156422\pi\)
−0.801491 + 0.598007i \(0.795959\pi\)
\(354\) 129.345 + 329.565i 0.0194198 + 0.0494807i
\(355\) 3506.84 + 1688.80i 0.524292 + 0.252485i
\(356\) 3496.94 + 1078.66i 0.520611 + 0.160587i
\(357\) 9560.63 24360.1i 1.41737 3.61141i
\(358\) −2043.62 + 1896.20i −0.301700 + 0.279936i
\(359\) 1136.95 + 775.163i 0.167148 + 0.113960i 0.644005 0.765021i \(-0.277272\pi\)
−0.476857 + 0.878981i \(0.658224\pi\)
\(360\) 8438.77 10581.9i 1.23545 1.54921i
\(361\) 1419.31 + 213.927i 0.206927 + 0.0311892i
\(362\) 8389.56 2587.84i 1.21808 0.375728i
\(363\) −918.891 + 12261.7i −0.132863 + 1.77293i
\(364\) 1114.27 759.697i 0.160450 0.109393i
\(365\) 290.507 1272.80i 0.0416598 0.182524i
\(366\) −3887.39 + 17031.8i −0.555184 + 2.43242i
\(367\) −5801.44 + 3955.35i −0.825157 + 0.562583i −0.900641 0.434564i \(-0.856902\pi\)
0.0754836 + 0.997147i \(0.475950\pi\)
\(368\) −112.477 + 1500.90i −0.0159328 + 0.212608i
\(369\) −6166.14 + 1902.00i −0.869909 + 0.268331i
\(370\) −8627.49 1300.38i −1.21222 0.182713i
\(371\) −5681.51 + 7124.38i −0.795065 + 0.996980i
\(372\) −572.978 390.650i −0.0798589 0.0544469i
\(373\) 6898.83 6401.18i 0.957662 0.888581i −0.0361842 0.999345i \(-0.511520\pi\)
0.993847 + 0.110764i \(0.0353298\pi\)
\(374\) 527.645 1344.42i 0.0729515 0.185877i
\(375\) −7131.86 2199.89i −0.982100 0.302938i
\(376\) −3010.13 1449.60i −0.412861 0.198823i
\(377\) −812.439 2070.06i −0.110989 0.282795i
\(378\) −2596.02 34641.4i −0.353240 4.71366i
\(379\) 2195.92 + 2753.59i 0.297617 + 0.373199i 0.908045 0.418872i \(-0.137574\pi\)
−0.610429 + 0.792071i \(0.709003\pi\)
\(380\) −1680.39 2910.52i −0.226848 0.392912i
\(381\) −8135.00 + 14090.2i −1.09388 + 1.89466i
\(382\) 2011.97 303.256i 0.269480 0.0406176i
\(383\) 2802.87 1349.79i 0.373943 0.180081i −0.237467 0.971396i \(-0.576317\pi\)
0.611410 + 0.791314i \(0.290603\pi\)
\(384\) 11554.6 + 10721.1i 1.53553 + 1.42476i
\(385\) 483.752 + 2119.45i 0.0640371 + 0.280565i
\(386\) −9288.61 −1.22481
\(387\) 4654.39 16715.1i 0.611359 2.19555i
\(388\) −837.191 −0.109541
\(389\) 50.9070 + 223.038i 0.00663519 + 0.0290707i 0.978137 0.207961i \(-0.0666827\pi\)
−0.971502 + 0.237032i \(0.923826\pi\)
\(390\) 4150.77 + 3851.35i 0.538929 + 0.500053i
\(391\) −1490.97 + 718.014i −0.192843 + 0.0928684i
\(392\) −10486.6 + 1580.60i −1.35115 + 0.203654i
\(393\) 3682.42 6378.14i 0.472655 0.818662i
\(394\) −7202.33 12474.8i −0.920934 1.59510i
\(395\) −4756.90 5964.97i −0.605938 0.759823i
\(396\) −74.3247 991.795i −0.00943171 0.125857i
\(397\) 2227.61 + 5675.87i 0.281614 + 0.717540i 0.999766 + 0.0216538i \(0.00689315\pi\)
−0.718152 + 0.695887i \(0.755012\pi\)
\(398\) 2262.74 + 1089.68i 0.284977 + 0.137238i
\(399\) 21071.4 + 6499.68i 2.64384 + 0.815516i
\(400\) −1971.53 + 5023.37i −0.246441 + 0.627921i
\(401\) 4802.34 4455.92i 0.598049 0.554908i −0.321986 0.946744i \(-0.604350\pi\)
0.920035 + 0.391836i \(0.128160\pi\)
\(402\) −13039.0 8889.86i −1.61773 1.10295i
\(403\) −180.376 + 226.185i −0.0222957 + 0.0279580i
\(404\) −3982.42 600.253i −0.490427 0.0739200i
\(405\) 18528.5 5715.29i 2.27331 0.701223i
\(406\) 1377.41 18380.3i 0.168374 2.24679i
\(407\) 760.015 518.169i 0.0925615 0.0631074i
\(408\) −2898.05 + 12697.2i −0.351655 + 1.54070i
\(409\) 484.107 2121.01i 0.0585270 0.256424i −0.937197 0.348800i \(-0.886589\pi\)
0.995724 + 0.0923766i \(0.0294464\pi\)
\(410\) 4042.50 2756.13i 0.486939 0.331989i
\(411\) −394.184 + 5260.02i −0.0473082 + 0.631284i
\(412\) −3420.02 + 1054.94i −0.408961 + 0.126148i
\(413\) 352.431 + 53.1205i 0.0419904 + 0.00632903i
\(414\) −2440.48 + 3060.26i −0.289717 + 0.363294i
\(415\) −11744.7 8007.37i −1.38921 0.947148i
\(416\) −1326.93 + 1231.21i −0.156390 + 0.145109i
\(417\) −9730.20 + 24792.1i −1.14266 + 2.91145i
\(418\) 1162.92 + 358.713i 0.136077 + 0.0419742i
\(419\) −7041.71 3391.11i −0.821027 0.395386i −0.0242846 0.999705i \(-0.507731\pi\)
−0.796742 + 0.604319i \(0.793445\pi\)
\(420\) 4992.03 + 12719.5i 0.579967 + 1.47773i
\(421\) 740.962 + 9887.45i 0.0857774 + 1.14462i 0.859514 + 0.511112i \(0.170766\pi\)
−0.773737 + 0.633507i \(0.781615\pi\)
\(422\) 8225.29 + 10314.2i 0.948818 + 1.18978i
\(423\) −6490.76 11242.3i −0.746079 1.29225i
\(424\) 2267.52 3927.46i 0.259718 0.449846i
\(425\) −5867.02 + 884.312i −0.669629 + 0.100930i
\(426\) −7981.55 + 3843.71i −0.907763 + 0.437156i
\(427\) 12892.1 + 11962.1i 1.46111 + 1.35571i
\(428\) 1049.58 + 4598.53i 0.118536 + 0.519342i
\(429\) −596.964 −0.0671834
\(430\) 363.388 + 13150.9i 0.0407538 + 1.47487i
\(431\) 10244.6 1.14493 0.572463 0.819930i \(-0.305988\pi\)
0.572463 + 0.819930i \(0.305988\pi\)
\(432\) 5747.81 + 25182.8i 0.640142 + 2.80465i
\(433\) −8486.47 7874.29i −0.941879 0.873936i 0.0503030 0.998734i \(-0.483981\pi\)
−0.992182 + 0.124798i \(0.960172\pi\)
\(434\) −2160.40 + 1040.40i −0.238946 + 0.115070i
\(435\) 22279.6 3358.11i 2.45569 0.370136i
\(436\) −1219.25 + 2111.80i −0.133925 + 0.231965i
\(437\) −697.223 1207.63i −0.0763220 0.132194i
\(438\) 1852.62 + 2323.12i 0.202104 + 0.253431i
\(439\) −660.648 8815.73i −0.0718246 0.958433i −0.910422 0.413681i \(-0.864243\pi\)
0.838597 0.544752i \(-0.183376\pi\)
\(440\) −395.273 1007.14i −0.0428271 0.109122i
\(441\) −37125.4 17878.7i −4.00879 1.93053i
\(442\) −3618.69 1116.22i −0.389420 0.120120i
\(443\) 4407.76 11230.8i 0.472729 1.20450i −0.473441 0.880826i \(-0.656988\pi\)
0.946170 0.323669i \(-0.104917\pi\)
\(444\) 4238.17 3932.44i 0.453005 0.420328i
\(445\) 12780.3 + 8713.46i 1.36145 + 0.928220i
\(446\) −434.596 + 544.966i −0.0461406 + 0.0578584i
\(447\) 22283.1 + 3358.64i 2.35785 + 0.355388i
\(448\) 5000.31 1542.39i 0.527326 0.162659i
\(449\) 143.304 1912.26i 0.0150622 0.200991i −0.984596 0.174845i \(-0.944058\pi\)
0.999658 0.0261458i \(-0.00832343\pi\)
\(450\) −11595.4 + 7905.63i −1.21470 + 0.828167i
\(451\) −114.781 + 502.888i −0.0119841 + 0.0525057i
\(452\) 420.653 1843.00i 0.0437741 0.191787i
\(453\) 5045.46 3439.94i 0.523303 0.356782i
\(454\) 1415.86 18893.3i 0.146364 1.95310i
\(455\) 5447.03 1680.19i 0.561233 0.173117i
\(456\) −10851.8 1635.64i −1.11443 0.167973i
\(457\) 9208.93 11547.6i 0.942616 1.18200i −0.0405294 0.999178i \(-0.512904\pi\)
0.983145 0.182825i \(-0.0585241\pi\)
\(458\) 17048.5 + 11623.5i 1.73935 + 1.18587i
\(459\) −20818.9 + 19317.1i −2.11709 + 1.96437i
\(460\) 315.681 804.342i 0.0319972 0.0815275i
\(461\) 5263.02 + 1623.43i 0.531720 + 0.164014i 0.548978 0.835837i \(-0.315017\pi\)
−0.0172572 + 0.999851i \(0.505493\pi\)
\(462\) −4457.93 2146.83i −0.448921 0.216189i
\(463\) 5501.76 + 14018.2i 0.552243 + 1.40709i 0.885670 + 0.464315i \(0.153700\pi\)
−0.333427 + 0.942776i \(0.608205\pi\)
\(464\) 1024.20 + 13666.9i 0.102472 + 1.36740i
\(465\) −1827.56 2291.69i −0.182261 0.228548i
\(466\) −9656.20 16725.0i −0.959903 1.66260i
\(467\) −8319.27 + 14409.4i −0.824347 + 1.42781i 0.0780709 + 0.996948i \(0.475124\pi\)
−0.902418 + 0.430863i \(0.858209\pi\)
\(468\) −2578.72 + 388.680i −0.254704 + 0.0383904i
\(469\) −14313.7 + 6893.12i −1.40927 + 0.678666i
\(470\) 7215.32 + 6694.84i 0.708123 + 0.657042i
\(471\) −5409.25 23699.5i −0.529183 2.31850i
\(472\) −177.378 −0.0172976
\(473\) −971.121 990.294i −0.0944021 0.0962659i
\(474\) 17364.7 1.68267
\(475\) −1112.52 4874.28i −0.107465 0.470836i
\(476\) −6698.95 6215.72i −0.645054 0.598523i
\(477\) 15876.0 7645.47i 1.52392 0.733883i
\(478\) −13382.4 + 2017.07i −1.28053 + 0.193009i
\(479\) 6039.15 10460.1i 0.576066 0.997776i −0.419858 0.907590i \(-0.637920\pi\)
0.995925 0.0901868i \(-0.0287464\pi\)
\(480\) −9170.17 15883.2i −0.871998 1.51034i
\(481\) −1503.80 1885.71i −0.142552 0.178754i
\(482\) 52.8775 + 705.601i 0.00499689 + 0.0666789i
\(483\) 2071.28 + 5277.53i 0.195127 + 0.497176i
\(484\) 3868.67 + 1863.05i 0.363324 + 0.174968i
\(485\) −3381.42 1043.03i −0.316582 0.0976527i
\(486\) −5354.74 + 13643.6i −0.499786 + 1.27343i
\(487\) −3473.46 + 3222.90i −0.323198 + 0.299884i −0.825039 0.565076i \(-0.808847\pi\)
0.501841 + 0.864960i \(0.332656\pi\)
\(488\) −7231.74 4930.52i −0.670831 0.457365i
\(489\) −17985.2 + 22552.8i −1.66323 + 2.08563i
\(490\) 30894.3 + 4656.57i 2.84829 + 0.429311i
\(491\) −5680.40 + 1752.17i −0.522103 + 0.161047i −0.544594 0.838700i \(-0.683316\pi\)
0.0224913 + 0.999747i \(0.492840\pi\)
\(492\) −242.282 + 3233.03i −0.0222011 + 0.296252i
\(493\) −12450.4 + 8488.56i −1.13740 + 0.775468i
\(494\) 710.069 3111.02i 0.0646711 0.283343i
\(495\) 935.447 4098.46i 0.0849399 0.372146i
\(496\) 1473.16 1004.38i 0.133361 0.0909237i
\(497\) −666.462 + 8893.31i −0.0601507 + 0.802655i
\(498\) 30915.1 9536.03i 2.78180 0.858072i
\(499\) −2008.91 302.794i −0.180223 0.0271642i 0.0583108 0.998298i \(-0.481429\pi\)
−0.238533 + 0.971134i \(0.576667\pi\)
\(500\) −1625.00 + 2037.68i −0.145344 + 0.182256i
\(501\) 13952.6 + 9512.72i 1.24422 + 0.848297i
\(502\) 12984.5 12047.8i 1.15443 1.07116i
\(503\) 3416.47 8705.03i 0.302849 0.771646i −0.695727 0.718306i \(-0.744918\pi\)
0.998576 0.0533406i \(-0.0169869\pi\)
\(504\) 29633.8 + 9140.82i 2.61904 + 0.807866i
\(505\) −15337.2 7385.99i −1.35147 0.650836i
\(506\) 114.312 + 291.263i 0.0100431 + 0.0255894i
\(507\) −1427.87 19053.6i −0.125076 1.66903i
\(508\) 3542.43 + 4442.06i 0.309389 + 0.387962i
\(509\) 3624.87 + 6278.45i 0.315657 + 0.546734i 0.979577 0.201070i \(-0.0644418\pi\)
−0.663920 + 0.747804i \(0.731108\pi\)
\(510\) 19184.5 33228.5i 1.66569 2.88507i
\(511\) 2957.89 445.830i 0.256065 0.0385956i
\(512\) 977.492 470.735i 0.0843740 0.0406324i
\(513\) −17542.8 16277.4i −1.50982 1.40090i
\(514\) −1561.36 6840.76i −0.133986 0.587029i
\(515\) −15127.8 −1.29439
\(516\) −6963.31 5245.06i −0.594075 0.447483i
\(517\) −1037.71 −0.0882753
\(518\) −4448.43 19489.9i −0.377322 1.65316i
\(519\) −25102.5 23291.7i −2.12308 1.96993i
\(520\) −2555.96 + 1230.88i −0.215550 + 0.103803i
\(521\) −5355.93 + 807.276i −0.450379 + 0.0678837i −0.370316 0.928906i \(-0.620750\pi\)
−0.0800636 + 0.996790i \(0.525512\pi\)
\(522\) −17821.1 + 30867.1i −1.49427 + 2.58815i
\(523\) 6650.26 + 11518.6i 0.556014 + 0.963045i 0.997824 + 0.0659360i \(0.0210033\pi\)
−0.441810 + 0.897109i \(0.645663\pi\)
\(524\) −1603.53 2010.76i −0.133684 0.167634i
\(525\) 1519.05 + 20270.3i 0.126279 + 1.68508i
\(526\) −3067.69 7816.33i −0.254292 0.647925i
\(527\) 1766.23 + 850.570i 0.145992 + 0.0703062i
\(528\) 3515.66 + 1084.44i 0.289771 + 0.0893827i
\(529\) −4314.12 + 10992.2i −0.354576 + 0.903444i
\(530\) −9794.02 + 9087.52i −0.802689 + 0.744786i
\(531\) −569.449 388.244i −0.0465386 0.0317295i
\(532\) 4801.13 6020.43i 0.391270 0.490637i
\(533\) 1337.41 + 201.583i 0.108686 + 0.0163818i
\(534\) −33641.2 + 10376.9i −2.72621 + 0.840924i
\(535\) −1489.88 + 19881.1i −0.120399 + 1.60661i
\(536\) 6532.74 4453.94i 0.526439 0.358920i
\(537\) 1737.51 7612.53i 0.139626 0.611741i
\(538\) −207.337 + 908.402i −0.0166151 + 0.0727955i
\(539\) −2721.55 + 1855.52i −0.217487 + 0.148280i
\(540\) 1108.18 14787.6i 0.0883117 1.17844i
\(541\) 7739.88 2387.44i 0.615089 0.189730i 0.0284725 0.999595i \(-0.490936\pi\)
0.586617 + 0.809865i \(0.300459\pi\)
\(542\) 17281.9 + 2604.83i 1.36960 + 0.206434i
\(543\) −15331.9 + 19225.6i −1.21170 + 1.51943i
\(544\) 10134.6 + 6909.65i 0.798745 + 0.544575i
\(545\) −7555.58 + 7010.55i −0.593845 + 0.551008i
\(546\) −4739.87 + 12077.0i −0.371516 + 0.946607i
\(547\) 11245.0 + 3468.63i 0.878980 + 0.271130i 0.701221 0.712944i \(-0.252639\pi\)
0.177760 + 0.984074i \(0.443115\pi\)
\(548\) 1659.58 + 799.210i 0.129368 + 0.0623003i
\(549\) −12424.7 31657.6i −0.965888 2.46104i
\(550\) 83.8352 + 1118.70i 0.00649954 + 0.0867303i
\(551\) −7916.82 9927.37i −0.612101 0.767550i
\(552\) −1410.77 2443.53i −0.108780 0.188412i
\(553\) 8740.55 15139.1i 0.672127 1.16416i
\(554\) −14589.8 + 2199.05i −1.11888 + 0.168644i
\(555\) 22017.3 10603.0i 1.68393 0.810938i
\(556\) 6817.76 + 6325.96i 0.520032 + 0.482519i
\(557\) −3561.00 15601.8i −0.270888 1.18684i −0.908968 0.416867i \(-0.863128\pi\)
0.638080 0.769970i \(-0.279729\pi\)
\(558\) 4636.84 0.351780
\(559\) −2399.07 + 2733.28i −0.181521 + 0.206807i
\(560\) −35131.0 −2.65099
\(561\) 900.130 + 3943.73i 0.0677425 + 0.296799i
\(562\) 9880.06 + 9167.36i 0.741575 + 0.688081i
\(563\) −4532.38 + 2182.68i −0.339284 + 0.163391i −0.595765 0.803159i \(-0.703151\pi\)
0.256481 + 0.966549i \(0.417437\pi\)
\(564\) −6449.47 + 972.101i −0.481510 + 0.0725759i
\(565\) 3995.16 6919.82i 0.297483 0.515255i
\(566\) −10399.7 18012.7i −0.772314 1.33769i
\(567\) 27700.0 + 34734.8i 2.05166 + 2.57270i
\(568\) −331.682 4426.00i −0.0245019 0.326955i
\(569\) 446.614 + 1137.95i 0.0329052 + 0.0838410i 0.946382 0.323050i \(-0.104708\pi\)
−0.913477 + 0.406891i \(0.866613\pi\)
\(570\) 29129.5 + 14028.0i 2.14052 + 1.03082i
\(571\) −11340.3 3498.01i −0.831131 0.256370i −0.150143 0.988664i \(-0.547973\pi\)
−0.680988 + 0.732294i \(0.738450\pi\)
\(572\) −76.1606 + 194.054i −0.00556719 + 0.0141850i
\(573\) −4177.60 + 3876.24i −0.304575 + 0.282604i
\(574\) 9262.42 + 6315.01i 0.673529 + 0.459205i
\(575\) 801.451 1004.99i 0.0581266 0.0728885i
\(576\) −10005.8 1508.13i −0.723799 0.109095i
\(577\) 11583.3 3572.98i 0.835737 0.257791i 0.152790 0.988259i \(-0.451174\pi\)
0.682947 + 0.730468i \(0.260698\pi\)
\(578\) −684.238 + 9130.53i −0.0492397 + 0.657059i
\(579\) 21495.5 14655.4i 1.54287 1.05191i
\(580\) 1750.81 7670.82i 0.125342 0.549161i
\(581\) 7247.35 31752.7i 0.517506 2.26734i
\(582\) 6654.46 4536.93i 0.473945 0.323130i
\(583\) 105.263 1404.64i 0.00747779 0.0997842i
\(584\) −1422.56 + 438.802i −0.100798 + 0.0310921i
\(585\) −10899.7 1642.87i −0.770338 0.116110i
\(586\) −16835.8 + 21111.4i −1.18682 + 1.48823i
\(587\) 1865.98 + 1272.20i 0.131205 + 0.0894539i 0.627144 0.778903i \(-0.284224\pi\)
−0.495939 + 0.868357i \(0.665176\pi\)
\(588\) −15176.5 + 14081.8i −1.06440 + 0.987622i
\(589\) −603.500 + 1537.69i −0.0422186 + 0.107571i
\(590\) 499.354 + 154.030i 0.0348442 + 0.0107480i
\(591\) 36350.0 + 17505.2i 2.53002 + 1.21839i
\(592\) 5430.68 + 13837.1i 0.377026 + 0.960647i
\(593\) 536.806 + 7163.18i 0.0371737 + 0.496048i 0.984454 + 0.175642i \(0.0562003\pi\)
−0.947280 + 0.320406i \(0.896181\pi\)
\(594\) 3348.02 + 4198.28i 0.231264 + 0.289996i
\(595\) −19313.1 33451.3i −1.33069 2.30483i
\(596\) 3934.67 6815.05i 0.270420 0.468381i
\(597\) −6955.67 + 1048.40i −0.476845 + 0.0718728i
\(598\) 739.178 355.969i 0.0505472 0.0243423i
\(599\) 6187.82 + 5741.46i 0.422083 + 0.391635i 0.862417 0.506198i \(-0.168950\pi\)
−0.440334 + 0.897834i \(0.645140\pi\)
\(600\) −2251.10 9862.71i −0.153168 0.671072i
\(601\) 11168.5 0.758021 0.379011 0.925392i \(-0.376264\pi\)
0.379011 + 0.925392i \(0.376264\pi\)
\(602\) −27745.0 + 11783.6i −1.87841 + 0.797777i
\(603\) 30721.3 2.07474
\(604\) −474.515 2078.99i −0.0319665 0.140054i
\(605\) 13304.5 + 12344.7i 0.894055 + 0.829562i
\(606\) 34907.3 16810.5i 2.33996 1.12686i
\(607\) 3963.88 597.458i 0.265056 0.0399507i −0.0151698 0.999885i \(-0.504829\pi\)
0.280225 + 0.959934i \(0.409591\pi\)
\(608\) −5167.89 + 8951.04i −0.344713 + 0.597060i
\(609\) 25812.5 + 44708.5i 1.71753 + 2.97484i
\(610\) 16077.2 + 20160.2i 1.06713 + 1.33814i
\(611\) 203.336 + 2713.34i 0.0134634 + 0.179656i
\(612\) 6456.06 + 16449.8i 0.426423 + 1.08651i
\(613\) 2746.67 + 1322.73i 0.180974 + 0.0871525i 0.522177 0.852837i \(-0.325120\pi\)
−0.341203 + 0.939990i \(0.610834\pi\)
\(614\) −7371.98 2273.95i −0.484542 0.149461i
\(615\) −5006.51 + 12756.4i −0.328263 + 0.836401i
\(616\) 1817.22 1686.13i 0.118860 0.110286i
\(617\) 11309.1 + 7710.43i 0.737907 + 0.503096i 0.872990 0.487738i \(-0.162178\pi\)
−0.135083 + 0.990834i \(0.543130\pi\)
\(618\) 21467.2 26919.1i 1.39731 1.75217i
\(619\) −24305.1 3663.41i −1.57820 0.237875i −0.699281 0.714847i \(-0.746496\pi\)
−0.878919 + 0.476971i \(0.841735\pi\)
\(620\) −978.116 + 301.709i −0.0633582 + 0.0195434i
\(621\) 459.802 6135.63i 0.0297121 0.396480i
\(622\) −269.538 + 183.768i −0.0173754 + 0.0118463i
\(623\) −7886.43 + 34552.7i −0.507164 + 2.22203i
\(624\) 2146.63 9405.02i 0.137715 0.603369i
\(625\) −16113.5 + 10986.0i −1.03126 + 0.703104i
\(626\) −832.667 + 11111.2i −0.0531630 + 0.709411i
\(627\) −3257.17 + 1004.70i −0.207462 + 0.0639936i
\(628\) −8394.06 1265.20i −0.533375 0.0803934i
\(629\) −10190.1 + 12777.9i −0.645953 + 0.809999i
\(630\) −75487.3 51466.4i −4.77379 3.25471i
\(631\) 14607.7 13554.0i 0.921592 0.855112i −0.0681944 0.997672i \(-0.521724\pi\)
0.989786 + 0.142560i \(0.0455334\pi\)
\(632\) −3178.44 + 8098.54i −0.200050 + 0.509720i
\(633\) −35308.4 10891.2i −2.21703 0.683864i
\(634\) −968.219 466.270i −0.0606513 0.0292081i
\(635\) 8773.65 + 22354.9i 0.548302 + 1.39705i
\(636\) −661.611 8828.59i −0.0412494 0.550434i
\(637\) 5384.99 + 6752.56i 0.334947 + 0.420010i
\(638\) 1424.57 + 2467.43i 0.0884002 + 0.153114i
\(639\) 8622.76 14935.1i 0.533820 0.924604i
\(640\) 23005.8 3467.56i 1.42091 0.214168i
\(641\) 7516.47 3619.74i 0.463156 0.223044i −0.187729 0.982221i \(-0.560113\pi\)
0.650884 + 0.759177i \(0.274398\pi\)
\(642\) −33263.2 30863.7i −2.04485 1.89734i
\(643\) 755.116 + 3308.38i 0.0463124 + 0.202908i 0.992791 0.119859i \(-0.0382442\pi\)
−0.946479 + 0.322767i \(0.895387\pi\)
\(644\) 1979.81 0.121142
\(645\) −21590.2 29860.2i −1.31800 1.82286i
\(646\) −21623.0 −1.31694
\(647\) −3823.22 16750.6i −0.232313 1.01783i −0.947716 0.319116i \(-0.896614\pi\)
0.715403 0.698712i \(-0.246243\pi\)
\(648\) −16208.1 15039.0i −0.982586 0.911707i
\(649\) −49.6374 + 23.9041i −0.00300221 + 0.00144579i
\(650\) 2908.69 438.415i 0.175520 0.0264554i
\(651\) 3358.05 5816.31i 0.202169 0.350168i
\(652\) 5036.64 + 8723.72i 0.302531 + 0.523999i
\(653\) −6924.46 8682.99i −0.414969 0.520355i 0.529786 0.848131i \(-0.322272\pi\)
−0.944755 + 0.327776i \(0.893701\pi\)
\(654\) −1753.07 23393.2i −0.104817 1.39869i
\(655\) −3971.51 10119.3i −0.236916 0.603652i
\(656\) −7510.14 3616.69i −0.446984 0.215256i
\(657\) −5527.40 1704.98i −0.328226 0.101244i
\(658\) −8239.36 + 20993.5i −0.488151 + 1.24379i
\(659\) −2782.84 + 2582.10i −0.164498 + 0.152632i −0.758127 0.652107i \(-0.773885\pi\)
0.593629 + 0.804739i \(0.297695\pi\)
\(660\) −1745.14 1189.82i −0.102923 0.0701720i
\(661\) −12517.6 + 15696.5i −0.736577 + 0.923638i −0.999148 0.0412747i \(-0.986858\pi\)
0.262571 + 0.964913i \(0.415430\pi\)
\(662\) 26151.8 + 3941.75i 1.53538 + 0.231421i
\(663\) 10135.4 3126.37i 0.593708 0.183135i
\(664\) −1211.30 + 16163.7i −0.0707945 + 0.944687i
\(665\) 26892.5 18335.0i 1.56819 1.06917i
\(666\) −8602.09 + 37688.2i −0.500487 + 2.19278i
\(667\) 726.443 3182.76i 0.0421709 0.184763i
\(668\) 4872.35 3321.91i 0.282211 0.192408i
\(669\) 145.896 1946.85i 0.00843148 0.112510i
\(670\) −22258.6 + 6865.87i −1.28347 + 0.395898i
\(671\) −2688.18 405.178i −0.154659 0.0233111i
\(672\) 26200.6 32854.5i 1.50403 1.88599i
\(673\) 8450.14 + 5761.20i 0.483995 + 0.329982i 0.780614 0.625014i \(-0.214907\pi\)
−0.296619 + 0.954996i \(0.595859\pi\)
\(674\) 18366.9 17042.0i 1.04965 0.973936i
\(675\) 8059.53 20535.3i 0.459572 1.17097i
\(676\) −6375.87 1966.70i −0.362760 0.111897i
\(677\) −27860.7 13417.0i −1.58164 0.761679i −0.582937 0.812518i \(-0.698096\pi\)
−0.998707 + 0.0508384i \(0.983811\pi\)
\(678\) 6644.07 + 16928.8i 0.376348 + 0.958920i
\(679\) −605.906 8085.25i −0.0342453 0.456971i
\(680\) 11985.6 + 15029.5i 0.675921 + 0.847579i
\(681\) 26532.9 + 45956.4i 1.49302 + 2.58598i
\(682\) 185.328 320.998i 0.0104055 0.0180229i
\(683\) −1478.37 + 222.829i −0.0828233 + 0.0124836i −0.190323 0.981721i \(-0.560954\pi\)
0.107500 + 0.994205i \(0.465715\pi\)
\(684\) −13415.9 + 6460.77i −0.749958 + 0.361161i
\(685\) 5707.33 + 5295.63i 0.318344 + 0.295380i
\(686\) 7770.09 + 34043.0i 0.432454 + 1.89471i
\(687\) −57792.6 −3.20950
\(688\) 19093.9 11738.8i 1.05807 0.650489i
\(689\) −3693.39 −0.204219
\(690\) 1849.71 + 8104.10i 0.102054 + 0.447127i
\(691\) 10293.8 + 9551.22i 0.566705 + 0.525826i 0.910658 0.413161i \(-0.135575\pi\)
−0.343953 + 0.938987i \(0.611766\pi\)
\(692\) −10774.0 + 5188.47i −0.591857 + 0.285023i
\(693\) 9524.55 1435.60i 0.522089 0.0786923i
\(694\) 9056.22 15685.8i 0.495345 0.857963i
\(695\) 19655.7 + 34044.6i 1.07278 + 1.85811i
\(696\) −16019.0 20087.2i −0.872413 1.09397i
\(697\) −684.898 9139.32i −0.0372200 0.496666i
\(698\) −12481.9 31803.3i −0.676856 1.72460i
\(699\) 48734.6 + 23469.4i 2.63707 + 1.26995i
\(700\) 6783.03 + 2092.29i 0.366249 + 0.112973i
\(701\) 9331.31 23775.8i 0.502766 1.28103i −0.424094 0.905618i \(-0.639407\pi\)
0.926860 0.375408i \(-0.122497\pi\)
\(702\) 10321.4 9576.84i 0.554922 0.514892i
\(703\) −11378.8 7757.91i −0.610467 0.416209i
\(704\) −504.323 + 632.401i −0.0269991 + 0.0338558i
\(705\) −27260.5 4108.87i −1.45630 0.219502i
\(706\) −22842.5 + 7045.97i −1.21769 + 0.375607i
\(707\) 2914.77 38894.9i 0.155051 2.06902i
\(708\) −286.109 + 195.066i −0.0151873 + 0.0103545i
\(709\) 5002.10 21915.6i 0.264962 1.16087i −0.650831 0.759222i \(-0.725580\pi\)
0.915793 0.401650i \(-0.131563\pi\)
\(710\) −2909.66 + 12748.1i −0.153800 + 0.673840i
\(711\) −27930.0 + 19042.4i −1.47322 + 1.00442i
\(712\) 1318.11 17589.0i 0.0693797 0.925808i
\(713\) −405.837 + 125.184i −0.0213166 + 0.00657530i
\(714\) 86931.4 + 13102.8i 4.55648 + 0.686778i
\(715\) −549.379 + 688.899i −0.0287351 + 0.0360327i
\(716\) −2252.92 1536.01i −0.117592 0.0801726i
\(717\) 27786.7 25782.3i 1.44730 1.34290i
\(718\) −1688.89 + 4303.23i −0.0877841 + 0.223670i
\(719\) 11763.3 + 3628.50i 0.610149 + 0.188206i 0.584405 0.811462i \(-0.301328\pi\)
0.0257447 + 0.999669i \(0.491804\pi\)
\(720\) 61206.5 + 29475.5i 3.16810 + 1.52568i
\(721\) −12663.3 32265.6i −0.654101 1.66662i
\(722\) 360.344 + 4808.46i 0.0185743 + 0.247856i
\(723\) −1235.65 1549.46i −0.0635607 0.0797026i
\(724\) 4293.59 + 7436.72i 0.220401 + 0.381745i
\(725\) 5852.44 10136.7i 0.299799 0.519267i
\(726\) −40846.7 + 6156.64i −2.08810 + 0.314731i
\(727\) 1266.19 609.765i 0.0645948 0.0311072i −0.401307 0.915943i \(-0.631444\pi\)
0.465902 + 0.884836i \(0.345730\pi\)
\(728\) −4764.88 4421.17i −0.242580 0.225081i
\(729\) −746.848 3272.15i −0.0379438 0.166243i
\(730\) 4385.84 0.222366
\(731\) 21674.3 + 11727.7i 1.09665 + 0.593384i
\(732\) −17086.9 −0.862773
\(733\) 377.880 + 1655.60i 0.0190414 + 0.0834256i 0.983556 0.180604i \(-0.0578054\pi\)
−0.964514 + 0.264030i \(0.914948\pi\)
\(734\) −17291.4 16044.1i −0.869535 0.806811i
\(735\) −78842.1 + 37968.4i −3.95665 + 1.90542i
\(736\) −2627.69 + 396.061i −0.131601 + 0.0198356i
\(737\) 1227.89 2126.76i 0.0613702 0.106296i
\(738\) −10838.9 18773.5i −0.540631 0.936401i
\(739\) −1955.56 2452.20i −0.0973431 0.122064i 0.730774 0.682619i \(-0.239159\pi\)
−0.828117 + 0.560555i \(0.810588\pi\)
\(740\) −637.725 8509.85i −0.0316800 0.422741i
\(741\) 3265.27 + 8319.78i 0.161880 + 0.412463i
\(742\) −27581.0 13282.3i −1.36460 0.657155i
\(743\) 37007.3 + 11415.2i 1.82727 + 0.563639i 0.999998 + 0.00184352i \(0.000586810\pi\)
0.827276 + 0.561796i \(0.189889\pi\)
\(744\) −1221.13 + 3111.39i −0.0601732 + 0.153319i
\(745\) 24382.8 22623.9i 1.19908 1.11259i
\(746\) 26122.4 + 17809.9i 1.28205 + 0.874086i
\(747\) −39267.6 + 49240.1i −1.92333 + 2.41178i
\(748\) 1396.82 + 210.537i 0.0682791 + 0.0102914i
\(749\) −43651.1 + 13464.6i −2.12947 + 0.656856i
\(750\) 1873.70 25002.8i 0.0912239 1.21730i
\(751\) −25986.5 + 17717.3i −1.26266 + 0.860869i −0.994726 0.102568i \(-0.967294\pi\)
−0.267937 + 0.963436i \(0.586342\pi\)
\(752\) 3731.52 16348.8i 0.180950 0.792793i
\(753\) −11039.6 + 48367.4i −0.534268 + 2.34078i
\(754\) 6172.54 4208.37i 0.298131 0.203262i
\(755\) 673.574 8988.22i 0.0324687 0.433265i
\(756\) 32467.7 10015.0i 1.56196 0.481799i
\(757\) −527.472 79.5036i −0.0253254 0.00381718i 0.136367 0.990658i