Properties

Label 230.4.g.b.31.4
Level $230$
Weight $4$
Character 230.31
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 31.4
Character \(\chi\) \(=\) 230.31
Dual form 230.4.g.b.141.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.284630 - 1.97964i) q^{2} +(-0.654798 - 1.43381i) q^{3} +(-3.83797 - 1.12693i) q^{4} +(-3.27430 - 3.77875i) q^{5} +(-3.02480 + 0.888162i) q^{6} +(7.64693 + 4.91439i) q^{7} +(-3.32332 + 7.27706i) q^{8} +(16.0542 - 18.5275i) q^{9} +O(q^{10})\) \(q+(0.284630 - 1.97964i) q^{2} +(-0.654798 - 1.43381i) q^{3} +(-3.83797 - 1.12693i) q^{4} +(-3.27430 - 3.77875i) q^{5} +(-3.02480 + 0.888162i) q^{6} +(7.64693 + 4.91439i) q^{7} +(-3.32332 + 7.27706i) q^{8} +(16.0542 - 18.5275i) q^{9} +(-8.41254 + 5.40641i) q^{10} +(-7.09604 - 49.3540i) q^{11} +(0.897295 + 6.24083i) q^{12} +(-16.5482 + 10.6349i) q^{13} +(11.9053 - 13.7394i) q^{14} +(-3.27399 + 7.16904i) q^{15} +(13.4601 + 8.65025i) q^{16} +(-60.9101 + 17.8848i) q^{17} +(-32.1084 - 37.0551i) q^{18} +(-136.808 - 40.1705i) q^{19} +(8.30830 + 18.1926i) q^{20} +(2.03909 - 14.1822i) q^{21} -99.7231 q^{22} +(56.0224 + 95.0184i) q^{23} +12.6100 q^{24} +(-3.55787 + 24.7455i) q^{25} +(16.3432 + 35.7866i) q^{26} +(-77.9120 - 22.8770i) q^{27} +(-23.8105 - 27.4788i) q^{28} +(-67.9581 + 19.9543i) q^{29} +(13.2603 + 8.52185i) q^{30} +(-95.7530 + 209.670i) q^{31} +(20.9555 - 24.1840i) q^{32} +(-66.1178 + 42.4913i) q^{33} +(18.0687 + 125.671i) q^{34} +(-6.46816 - 44.9870i) q^{35} +(-82.4948 + 53.0162i) q^{36} +(78.7276 - 90.8565i) q^{37} +(-118.463 + 259.397i) q^{38} +(26.0841 + 16.7633i) q^{39} +(38.3797 - 11.2693i) q^{40} +(8.01352 + 9.24810i) q^{41} +(-27.4952 - 8.07333i) q^{42} +(-207.436 - 454.222i) q^{43} +(-28.3842 + 197.416i) q^{44} -122.577 q^{45} +(204.048 - 83.8593i) q^{46} +476.063 q^{47} +(3.58918 - 24.9633i) q^{48} +(-108.163 - 236.844i) q^{49} +(47.9746 + 14.0866i) q^{50} +(65.5272 + 75.6224i) q^{51} +(75.4964 - 22.1677i) q^{52} +(-287.328 - 184.655i) q^{53} +(-67.4644 + 147.726i) q^{54} +(-163.262 + 188.414i) q^{55} +(-61.1755 + 39.3151i) q^{56} +(31.9849 + 222.460i) q^{57} +(20.1595 + 140.212i) q^{58} +(-355.619 + 228.542i) q^{59} +(20.6445 - 23.8250i) q^{60} +(-253.306 + 554.663i) q^{61} +(387.817 + 249.235i) q^{62} +(213.817 - 62.7823i) q^{63} +(-41.9111 - 48.3680i) q^{64} +(94.3705 + 27.7097i) q^{65} +(65.2985 + 142.984i) q^{66} +(76.6593 - 533.177i) q^{67} +253.926 q^{68} +(99.5547 - 142.543i) q^{69} -90.8993 q^{70} +(16.7408 - 116.435i) q^{71} +(81.4726 + 178.400i) q^{72} +(-357.525 - 104.979i) q^{73} +(-157.455 - 181.713i) q^{74} +(37.8100 - 11.1020i) q^{75} +(479.796 + 308.346i) q^{76} +(188.282 - 412.280i) q^{77} +(40.6096 - 46.8660i) q^{78} +(178.377 - 114.636i) q^{79} +(-11.3852 - 79.1857i) q^{80} +(-75.9852 - 528.489i) q^{81} +(20.5888 - 13.2316i) q^{82} +(435.360 - 502.432i) q^{83} +(-23.8083 + 52.1328i) q^{84} +(267.020 + 171.603i) q^{85} +(-958.241 + 281.365i) q^{86} +(73.1095 + 84.3728i) q^{87} +(382.735 + 112.381i) q^{88} +(-240.943 - 527.591i) q^{89} +(-34.8891 + 242.659i) q^{90} -178.807 q^{91} +(-107.933 - 427.811i) q^{92} +363.325 q^{93} +(135.502 - 942.435i) q^{94} +(296.157 + 648.493i) q^{95} +(-48.3968 - 14.2106i) q^{96} +(921.065 + 1062.97i) q^{97} +(-499.653 + 146.711i) q^{98} +(-1028.33 - 660.867i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.284630 1.97964i 0.100632 0.699909i
\(3\) −0.654798 1.43381i −0.126016 0.275936i 0.836100 0.548577i \(-0.184830\pi\)
−0.962116 + 0.272641i \(0.912103\pi\)
\(4\) −3.83797 1.12693i −0.479746 0.140866i
\(5\) −3.27430 3.77875i −0.292863 0.337981i
\(6\) −3.02480 + 0.888162i −0.205812 + 0.0604318i
\(7\) 7.64693 + 4.91439i 0.412896 + 0.265352i 0.730556 0.682853i \(-0.239261\pi\)
−0.317661 + 0.948204i \(0.602897\pi\)
\(8\) −3.32332 + 7.27706i −0.146871 + 0.321603i
\(9\) 16.0542 18.5275i 0.594600 0.686205i
\(10\) −8.41254 + 5.40641i −0.266028 + 0.170966i
\(11\) −7.09604 49.3540i −0.194503 1.35280i −0.819906 0.572498i \(-0.805974\pi\)
0.625403 0.780302i \(-0.284935\pi\)
\(12\) 0.897295 + 6.24083i 0.0215856 + 0.150131i
\(13\) −16.5482 + 10.6349i −0.353050 + 0.226891i −0.705129 0.709079i \(-0.749111\pi\)
0.352079 + 0.935970i \(0.385475\pi\)
\(14\) 11.9053 13.7394i 0.227273 0.262287i
\(15\) −3.27399 + 7.16904i −0.0563561 + 0.123403i
\(16\) 13.4601 + 8.65025i 0.210313 + 0.135160i
\(17\) −60.9101 + 17.8848i −0.868992 + 0.255159i −0.685686 0.727897i \(-0.740498\pi\)
−0.183305 + 0.983056i \(0.558680\pi\)
\(18\) −32.1084 37.0551i −0.420446 0.485220i
\(19\) −136.808 40.1705i −1.65189 0.485039i −0.682566 0.730824i \(-0.739136\pi\)
−0.969324 + 0.245785i \(0.920954\pi\)
\(20\) 8.30830 + 18.1926i 0.0928896 + 0.203400i
\(21\) 2.03909 14.1822i 0.0211888 0.147372i
\(22\) −99.7231 −0.966411
\(23\) 56.0224 + 95.0184i 0.507891 + 0.861422i
\(24\) 12.6100 0.107250
\(25\) −3.55787 + 24.7455i −0.0284630 + 0.197964i
\(26\) 16.3432 + 35.7866i 0.123275 + 0.269936i
\(27\) −77.9120 22.8770i −0.555340 0.163062i
\(28\) −23.8105 27.4788i −0.160706 0.185465i
\(29\) −67.9581 + 19.9543i −0.435155 + 0.127773i −0.491971 0.870612i \(-0.663723\pi\)
0.0568158 + 0.998385i \(0.481905\pi\)
\(30\) 13.2603 + 8.52185i 0.0806994 + 0.0518624i
\(31\) −95.7530 + 209.670i −0.554766 + 1.21477i 0.399754 + 0.916622i \(0.369095\pi\)
−0.954520 + 0.298146i \(0.903632\pi\)
\(32\) 20.9555 24.1840i 0.115764 0.133599i
\(33\) −66.1178 + 42.4913i −0.348776 + 0.224145i
\(34\) 18.0687 + 125.671i 0.0911400 + 0.633893i
\(35\) −6.46816 44.9870i −0.0312377 0.217263i
\(36\) −82.4948 + 53.0162i −0.381920 + 0.245445i
\(37\) 78.7276 90.8565i 0.349804 0.403695i −0.553394 0.832920i \(-0.686668\pi\)
0.903198 + 0.429224i \(0.141213\pi\)
\(38\) −118.463 + 259.397i −0.505716 + 1.10736i
\(39\) 26.0841 + 16.7633i 0.107098 + 0.0688274i
\(40\) 38.3797 11.2693i 0.151709 0.0445458i
\(41\) 8.01352 + 9.24810i 0.0305244 + 0.0352271i 0.770807 0.637069i \(-0.219854\pi\)
−0.740282 + 0.672296i \(0.765308\pi\)
\(42\) −27.4952 8.07333i −0.101014 0.0296605i
\(43\) −207.436 454.222i −0.735669 1.61089i −0.790550 0.612397i \(-0.790205\pi\)
0.0548812 0.998493i \(-0.482522\pi\)
\(44\) −28.3842 + 197.416i −0.0972517 + 0.676400i
\(45\) −122.577 −0.406061
\(46\) 204.048 83.8593i 0.654027 0.268791i
\(47\) 476.063 1.47747 0.738734 0.673998i \(-0.235424\pi\)
0.738734 + 0.673998i \(0.235424\pi\)
\(48\) 3.58918 24.9633i 0.0107928 0.0750655i
\(49\) −108.163 236.844i −0.315344 0.690507i
\(50\) 47.9746 + 14.0866i 0.135693 + 0.0398430i
\(51\) 65.5272 + 75.6224i 0.179914 + 0.207632i
\(52\) 75.4964 22.1677i 0.201336 0.0591175i
\(53\) −287.328 184.655i −0.744672 0.478571i 0.112468 0.993655i \(-0.464124\pi\)
−0.857140 + 0.515084i \(0.827761\pi\)
\(54\) −67.4644 + 147.726i −0.170014 + 0.372278i
\(55\) −163.262 + 188.414i −0.400259 + 0.461923i
\(56\) −61.1755 + 39.3151i −0.145981 + 0.0938160i
\(57\) 31.9849 + 222.460i 0.0743247 + 0.516939i
\(58\) 20.1595 + 140.212i 0.0456392 + 0.317427i
\(59\) −355.619 + 228.542i −0.784706 + 0.504300i −0.870592 0.492005i \(-0.836264\pi\)
0.0858865 + 0.996305i \(0.472628\pi\)
\(60\) 20.6445 23.8250i 0.0444199 0.0512633i
\(61\) −253.306 + 554.663i −0.531681 + 1.16422i 0.433144 + 0.901325i \(0.357404\pi\)
−0.964825 + 0.262894i \(0.915323\pi\)
\(62\) 387.817 + 249.235i 0.794401 + 0.510530i
\(63\) 213.817 62.7823i 0.427593 0.125553i
\(64\) −41.9111 48.3680i −0.0818576 0.0944687i
\(65\) 94.3705 + 27.7097i 0.180080 + 0.0528763i
\(66\) 65.2985 + 142.984i 0.121783 + 0.266668i
\(67\) 76.6593 533.177i 0.139782 0.972208i −0.792344 0.610075i \(-0.791139\pi\)
0.932126 0.362133i \(-0.117951\pi\)
\(68\) 253.926 0.452839
\(69\) 99.5547 142.543i 0.173695 0.248698i
\(70\) −90.8993 −0.155208
\(71\) 16.7408 116.435i 0.0279827 0.194624i −0.971035 0.238937i \(-0.923201\pi\)
0.999018 + 0.0443134i \(0.0141100\pi\)
\(72\) 81.4726 + 178.400i 0.133356 + 0.292009i
\(73\) −357.525 104.979i −0.573221 0.168313i −0.0177406 0.999843i \(-0.505647\pi\)
−0.555480 + 0.831530i \(0.687465\pi\)
\(74\) −157.455 181.713i −0.247349 0.285456i
\(75\) 37.8100 11.1020i 0.0582124 0.0170927i
\(76\) 479.796 + 308.346i 0.724163 + 0.465391i
\(77\) 188.282 412.280i 0.278659 0.610177i
\(78\) 40.6096 46.8660i 0.0589504 0.0680324i
\(79\) 178.377 114.636i 0.254038 0.163260i −0.407424 0.913239i \(-0.633573\pi\)
0.661462 + 0.749979i \(0.269936\pi\)
\(80\) −11.3852 79.1857i −0.0159113 0.110665i
\(81\) −75.9852 528.489i −0.104232 0.724950i
\(82\) 20.5888 13.2316i 0.0277275 0.0178194i
\(83\) 435.360 502.432i 0.575746 0.664446i −0.390939 0.920417i \(-0.627850\pi\)
0.966685 + 0.255970i \(0.0823950\pi\)
\(84\) −23.8083 + 52.1328i −0.0309249 + 0.0677162i
\(85\) 267.020 + 171.603i 0.340734 + 0.218977i
\(86\) −958.241 + 281.365i −1.20151 + 0.352795i
\(87\) 73.1095 + 84.3728i 0.0900938 + 0.103974i
\(88\) 382.735 + 112.381i 0.463632 + 0.136135i
\(89\) −240.943 527.591i −0.286965 0.628365i 0.710168 0.704032i \(-0.248619\pi\)
−0.997133 + 0.0756667i \(0.975891\pi\)
\(90\) −34.8891 + 242.659i −0.0408626 + 0.284206i
\(91\) −178.807 −0.205979
\(92\) −107.933 427.811i −0.122313 0.484809i
\(93\) 363.325 0.405108
\(94\) 135.502 942.435i 0.148680 1.03409i
\(95\) 296.157 + 648.493i 0.319843 + 0.700358i
\(96\) −48.3968 14.2106i −0.0514529 0.0151079i
\(97\) 921.065 + 1062.97i 0.964123 + 1.11266i 0.993585 + 0.113092i \(0.0360754\pi\)
−0.0294612 + 0.999566i \(0.509379\pi\)
\(98\) −499.653 + 146.711i −0.515026 + 0.151225i
\(99\) −1028.33 660.867i −1.04395 0.670906i
\(100\) 41.5415 90.9632i 0.0415415 0.0909632i
\(101\) 815.409 941.033i 0.803329 0.927092i −0.195230 0.980758i \(-0.562545\pi\)
0.998559 + 0.0536660i \(0.0170906\pi\)
\(102\) 168.356 108.196i 0.163429 0.105029i
\(103\) −172.671 1200.96i −0.165183 1.14887i −0.888675 0.458538i \(-0.848373\pi\)
0.723492 0.690333i \(-0.242536\pi\)
\(104\) −22.3957 155.765i −0.0211161 0.146866i
\(105\) −60.2674 + 38.7315i −0.0560143 + 0.0359982i
\(106\) −447.333 + 516.249i −0.409894 + 0.473043i
\(107\) 415.298 909.376i 0.375219 0.821614i −0.623974 0.781445i \(-0.714483\pi\)
0.999193 0.0401692i \(-0.0127897\pi\)
\(108\) 273.243 + 175.603i 0.243452 + 0.156457i
\(109\) 1513.85 444.508i 1.33028 0.390607i 0.462091 0.886833i \(-0.347099\pi\)
0.868194 + 0.496226i \(0.165281\pi\)
\(110\) 326.524 + 376.829i 0.283026 + 0.326629i
\(111\) −181.822 53.3876i −0.155475 0.0456516i
\(112\) 60.4175 + 132.296i 0.0509724 + 0.111614i
\(113\) −76.9357 + 535.100i −0.0640487 + 0.445469i 0.932411 + 0.361399i \(0.117701\pi\)
−0.996460 + 0.0840694i \(0.973208\pi\)
\(114\) 449.495 0.369290
\(115\) 175.616 522.814i 0.142402 0.423936i
\(116\) 283.308 0.226763
\(117\) −68.6300 + 477.332i −0.0542295 + 0.377174i
\(118\) 351.213 + 769.049i 0.273998 + 0.599972i
\(119\) −553.668 162.572i −0.426510 0.125235i
\(120\) −41.2890 47.6500i −0.0314096 0.0362486i
\(121\) −1108.38 + 325.451i −0.832745 + 0.244516i
\(122\) 1025.94 + 659.329i 0.761344 + 0.489286i
\(123\) 8.01276 17.5455i 0.00587387 0.0128620i
\(124\) 603.781 696.800i 0.437267 0.504633i
\(125\) 105.157 67.5801i 0.0752440 0.0483564i
\(126\) −63.4279 441.151i −0.0448461 0.311911i
\(127\) −161.057 1120.18i −0.112532 0.782675i −0.965442 0.260618i \(-0.916074\pi\)
0.852910 0.522057i \(-0.174835\pi\)
\(128\) −107.680 + 69.2020i −0.0743570 + 0.0477863i
\(129\) −515.439 + 594.848i −0.351797 + 0.405996i
\(130\) 81.7159 178.933i 0.0551304 0.120719i
\(131\) 2012.11 + 1293.11i 1.34198 + 0.862437i 0.997092 0.0762079i \(-0.0242813\pi\)
0.344886 + 0.938645i \(0.387918\pi\)
\(132\) 301.643 88.5703i 0.198899 0.0584019i
\(133\) −848.749 979.508i −0.553352 0.638603i
\(134\) −1033.68 303.516i −0.666391 0.195670i
\(135\) 168.661 + 369.316i 0.107526 + 0.235449i
\(136\) 72.2749 502.683i 0.0455700 0.316946i
\(137\) 2540.54 1.58433 0.792165 0.610307i \(-0.208954\pi\)
0.792165 + 0.610307i \(0.208954\pi\)
\(138\) −253.848 237.655i −0.156587 0.146598i
\(139\) −3022.47 −1.84433 −0.922167 0.386793i \(-0.873583\pi\)
−0.922167 + 0.386793i \(0.873583\pi\)
\(140\) −25.8726 + 179.948i −0.0156188 + 0.108631i
\(141\) −311.725 682.583i −0.186184 0.407687i
\(142\) −225.735 66.2818i −0.133403 0.0391707i
\(143\) 642.302 + 741.256i 0.375608 + 0.433475i
\(144\) 376.358 110.509i 0.217800 0.0639518i
\(145\) 297.918 + 191.460i 0.170626 + 0.109654i
\(146\) −309.583 + 677.891i −0.175488 + 0.384265i
\(147\) −268.764 + 310.170i −0.150798 + 0.174030i
\(148\) −404.543 + 259.984i −0.224684 + 0.144396i
\(149\) 310.523 + 2159.73i 0.170732 + 1.18746i 0.877344 + 0.479863i \(0.159314\pi\)
−0.706612 + 0.707601i \(0.749777\pi\)
\(150\) −11.2162 78.0103i −0.00610532 0.0424634i
\(151\) 648.305 416.641i 0.349393 0.224541i −0.354159 0.935185i \(-0.615233\pi\)
0.703552 + 0.710644i \(0.251596\pi\)
\(152\) 746.980 862.061i 0.398606 0.460015i
\(153\) −646.501 + 1415.64i −0.341611 + 0.748024i
\(154\) −762.576 490.078i −0.399027 0.256439i
\(155\) 1105.81 324.696i 0.573039 0.168260i
\(156\) −81.2192 93.7319i −0.0416842 0.0481061i
\(157\) 1284.13 + 377.054i 0.652767 + 0.191670i 0.591316 0.806440i \(-0.298609\pi\)
0.0614518 + 0.998110i \(0.480427\pi\)
\(158\) −176.167 385.752i −0.0887031 0.194233i
\(159\) −76.6173 + 532.885i −0.0382148 + 0.265790i
\(160\) −160.000 −0.0790569
\(161\) −38.5571 + 1001.91i −0.0188741 + 0.490447i
\(162\) −1067.85 −0.517889
\(163\) 424.485 2952.36i 0.203977 1.41869i −0.588357 0.808601i \(-0.700225\pi\)
0.792334 0.610088i \(-0.208866\pi\)
\(164\) −20.3337 44.5246i −0.00968169 0.0211999i
\(165\) 377.054 + 110.713i 0.177900 + 0.0522363i
\(166\) −870.719 1004.86i −0.407114 0.469834i
\(167\) −23.4499 + 6.88553i −0.0108659 + 0.00319053i −0.287161 0.957882i \(-0.592711\pi\)
0.276295 + 0.961073i \(0.410893\pi\)
\(168\) 96.4279 + 61.9704i 0.0442832 + 0.0284591i
\(169\) −751.924 + 1646.48i −0.342250 + 0.749424i
\(170\) 415.715 479.761i 0.187552 0.216447i
\(171\) −2940.60 + 1889.81i −1.31505 + 0.845131i
\(172\) 284.258 + 1977.06i 0.126014 + 0.876450i
\(173\) 306.273 + 2130.17i 0.134598 + 0.936151i 0.939453 + 0.342679i \(0.111334\pi\)
−0.804854 + 0.593472i \(0.797757\pi\)
\(174\) 187.837 120.716i 0.0818385 0.0525944i
\(175\) −148.816 + 171.743i −0.0642824 + 0.0741859i
\(176\) 331.412 725.691i 0.141938 0.310801i
\(177\) 560.545 + 360.240i 0.238040 + 0.152979i
\(178\) −1113.02 + 326.812i −0.468676 + 0.137616i
\(179\) −2668.28 3079.36i −1.11417 1.28582i −0.954354 0.298676i \(-0.903455\pi\)
−0.159817 0.987147i \(-0.551091\pi\)
\(180\) 470.448 + 138.136i 0.194806 + 0.0572002i
\(181\) 378.511 + 828.824i 0.155439 + 0.340365i 0.971290 0.237898i \(-0.0764583\pi\)
−0.815851 + 0.578262i \(0.803731\pi\)
\(182\) −50.8938 + 353.974i −0.0207280 + 0.144167i
\(183\) 961.145 0.388251
\(184\) −877.634 + 91.9019i −0.351631 + 0.0368212i
\(185\) −601.102 −0.238886
\(186\) 103.413 719.254i 0.0407668 0.283539i
\(187\) 1314.91 + 2879.25i 0.514201 + 1.12594i
\(188\) −1827.12 536.490i −0.708810 0.208125i
\(189\) −483.361 557.829i −0.186028 0.214688i
\(190\) 1368.08 401.705i 0.522374 0.153383i
\(191\) −1191.21 765.546i −0.451273 0.290016i 0.295195 0.955437i \(-0.404615\pi\)
−0.746468 + 0.665422i \(0.768252\pi\)
\(192\) −41.9071 + 91.7637i −0.0157520 + 0.0344921i
\(193\) −659.659 + 761.287i −0.246028 + 0.283931i −0.865310 0.501238i \(-0.832878\pi\)
0.619282 + 0.785169i \(0.287424\pi\)
\(194\) 2366.45 1520.83i 0.875781 0.562830i
\(195\) −22.0633 153.453i −0.00810248 0.0563540i
\(196\) 148.220 + 1030.89i 0.0540160 + 0.375690i
\(197\) −2837.90 + 1823.81i −1.02636 + 0.659599i −0.941576 0.336800i \(-0.890655\pi\)
−0.0847804 + 0.996400i \(0.527019\pi\)
\(198\) −1600.97 + 1847.62i −0.574628 + 0.663156i
\(199\) 2030.40 4445.96i 0.723273 1.58375i −0.0859876 0.996296i \(-0.527405\pi\)
0.809260 0.587450i \(-0.199868\pi\)
\(200\) −168.251 108.128i −0.0594856 0.0382291i
\(201\) −814.670 + 239.209i −0.285882 + 0.0839427i
\(202\) −1630.82 1882.07i −0.568040 0.655553i
\(203\) −617.734 181.383i −0.213578 0.0627123i
\(204\) −166.270 364.081i −0.0570649 0.124955i
\(205\) 8.70753 60.5622i 0.00296663 0.0206334i
\(206\) −2426.61 −0.820728
\(207\) 2659.85 + 487.486i 0.893103 + 0.163684i
\(208\) −314.734 −0.104918
\(209\) −1011.78 + 7037.08i −0.334863 + 2.32902i
\(210\) 59.5207 + 130.332i 0.0195586 + 0.0428275i
\(211\) 3187.86 + 936.040i 1.04010 + 0.305401i 0.756812 0.653633i \(-0.226756\pi\)
0.283290 + 0.959034i \(0.408574\pi\)
\(212\) 894.665 + 1032.50i 0.289839 + 0.334492i
\(213\) −177.908 + 52.2384i −0.0572301 + 0.0168043i
\(214\) −1682.03 1080.98i −0.537296 0.345299i
\(215\) −1037.18 + 2271.11i −0.329001 + 0.720412i
\(216\) 425.404 490.942i 0.134005 0.154650i
\(217\) −1762.62 + 1132.76i −0.551401 + 0.354364i
\(218\) −449.079 3123.41i −0.139520 0.970386i
\(219\) 83.5872 + 581.362i 0.0257913 + 0.179383i
\(220\) 838.924 539.144i 0.257092 0.165223i
\(221\) 817.750 943.734i 0.248904 0.287251i
\(222\) −157.440 + 344.746i −0.0475977 + 0.104224i
\(223\) −3654.75 2348.77i −1.09749 0.705314i −0.138957 0.990298i \(-0.544375\pi\)
−0.958532 + 0.284985i \(0.908011\pi\)
\(224\) 279.095 81.9497i 0.0832492 0.0244442i
\(225\) 401.355 + 463.188i 0.118920 + 0.137241i
\(226\) 1037.41 + 304.611i 0.305342 + 0.0896566i
\(227\) 1965.95 + 4304.83i 0.574823 + 1.25869i 0.944189 + 0.329403i \(0.106847\pi\)
−0.369367 + 0.929284i \(0.620425\pi\)
\(228\) 127.940 889.840i 0.0371623 0.258470i
\(229\) −5723.42 −1.65159 −0.825795 0.563970i \(-0.809273\pi\)
−0.825795 + 0.563970i \(0.809273\pi\)
\(230\) −984.999 496.465i −0.282386 0.142330i
\(231\) −714.417 −0.203486
\(232\) 80.6380 560.849i 0.0228196 0.158714i
\(233\) −559.544 1225.23i −0.157326 0.344496i 0.814512 0.580147i \(-0.197005\pi\)
−0.971838 + 0.235651i \(0.924278\pi\)
\(234\) 925.413 + 271.726i 0.258531 + 0.0759114i
\(235\) −1558.78 1798.92i −0.432695 0.499357i
\(236\) 1622.41 476.382i 0.447499 0.131397i
\(237\) −281.167 180.695i −0.0770623 0.0495249i
\(238\) −479.424 + 1049.79i −0.130573 + 0.285916i
\(239\) −1625.93 + 1876.42i −0.440052 + 0.507847i −0.931841 0.362868i \(-0.881798\pi\)
0.491789 + 0.870715i \(0.336343\pi\)
\(240\) −106.082 + 68.1748i −0.0285315 + 0.0183361i
\(241\) −572.856 3984.30i −0.153116 1.06494i −0.910956 0.412503i \(-0.864655\pi\)
0.757840 0.652440i \(-0.226255\pi\)
\(242\) 328.797 + 2286.84i 0.0873384 + 0.607452i
\(243\) −2552.39 + 1640.32i −0.673810 + 0.433031i
\(244\) 1597.25 1843.32i 0.419071 0.483634i
\(245\) −540.815 + 1184.22i −0.141026 + 0.308804i
\(246\) −32.4531 20.8564i −0.00841112 0.00540550i
\(247\) 2691.14 790.189i 0.693251 0.203557i
\(248\) −1207.56 1393.60i −0.309194 0.356829i
\(249\) −1005.46 295.231i −0.255898 0.0751385i
\(250\) −103.854 227.408i −0.0262732 0.0575302i
\(251\) 984.394 6846.61i 0.247547 1.72173i −0.364753 0.931105i \(-0.618846\pi\)
0.612300 0.790626i \(-0.290245\pi\)
\(252\) −891.374 −0.222823
\(253\) 4292.00 3439.19i 1.06655 0.854624i
\(254\) −2263.39 −0.559126
\(255\) 71.2021 495.221i 0.0174857 0.121616i
\(256\) 106.346 + 232.866i 0.0259634 + 0.0568520i
\(257\) 4241.47 + 1245.41i 1.02948 + 0.302282i 0.752498 0.658594i \(-0.228849\pi\)
0.276979 + 0.960876i \(0.410667\pi\)
\(258\) 1030.88 + 1189.70i 0.248758 + 0.287082i
\(259\) 1048.53 307.876i 0.251554 0.0738628i
\(260\) −330.964 212.698i −0.0789444 0.0507345i
\(261\) −721.309 + 1579.45i −0.171065 + 0.374579i
\(262\) 3132.60 3615.21i 0.738673 0.852474i
\(263\) −273.834 + 175.982i −0.0642028 + 0.0412606i −0.572348 0.820011i \(-0.693968\pi\)
0.508146 + 0.861271i \(0.330331\pi\)
\(264\) −89.4811 622.355i −0.0208605 0.145088i
\(265\) 243.037 + 1690.36i 0.0563382 + 0.391841i
\(266\) −2180.66 + 1401.42i −0.502649 + 0.323033i
\(267\) −598.695 + 690.931i −0.137227 + 0.158368i
\(268\) −895.069 + 1959.93i −0.204011 + 0.446723i
\(269\) −585.496 376.275i −0.132707 0.0852859i 0.472603 0.881276i \(-0.343315\pi\)
−0.605310 + 0.795990i \(0.706951\pi\)
\(270\) 779.120 228.770i 0.175614 0.0515649i
\(271\) −2310.08 2665.98i −0.517813 0.597588i 0.435269 0.900301i \(-0.356653\pi\)
−0.953082 + 0.302712i \(0.902108\pi\)
\(272\) −974.561 286.157i −0.217248 0.0637897i
\(273\) 117.083 + 256.375i 0.0259566 + 0.0568371i
\(274\) 723.114 5029.36i 0.159434 1.10889i
\(275\) 1246.54 0.273342
\(276\) −542.724 + 434.886i −0.118363 + 0.0948444i
\(277\) −387.712 −0.0840988 −0.0420494 0.999116i \(-0.513389\pi\)
−0.0420494 + 0.999116i \(0.513389\pi\)
\(278\) −860.284 + 5983.41i −0.185599 + 1.29087i
\(279\) 2347.43 + 5140.15i 0.503716 + 1.10298i
\(280\) 348.869 + 102.437i 0.0744604 + 0.0218635i
\(281\) 739.337 + 853.240i 0.156958 + 0.181139i 0.828782 0.559572i \(-0.189034\pi\)
−0.671824 + 0.740711i \(0.734489\pi\)
\(282\) −1440.00 + 422.821i −0.304080 + 0.0892860i
\(283\) 1316.39 + 845.996i 0.276507 + 0.177700i 0.671544 0.740965i \(-0.265632\pi\)
−0.395036 + 0.918666i \(0.629268\pi\)
\(284\) −195.465 + 428.009i −0.0408406 + 0.0894284i
\(285\) 735.892 849.265i 0.152949 0.176513i
\(286\) 1650.24 1060.54i 0.341191 0.219270i
\(287\) 15.8302 + 110.101i 0.00325583 + 0.0226448i
\(288\) −111.645 776.509i −0.0228429 0.158876i
\(289\) −742.911 + 477.440i −0.151213 + 0.0971788i
\(290\) 463.819 535.275i 0.0939185 0.108388i
\(291\) 920.977 2016.66i 0.185528 0.406249i
\(292\) 1253.87 + 805.811i 0.251291 + 0.161495i
\(293\) −2633.10 + 773.148i −0.525008 + 0.154156i −0.533488 0.845808i \(-0.679119\pi\)
0.00847983 + 0.999964i \(0.497301\pi\)
\(294\) 537.527 + 620.340i 0.106630 + 0.123058i
\(295\) 2028.01 + 595.477i 0.400255 + 0.117525i
\(296\) 399.531 + 874.851i 0.0784536 + 0.171789i
\(297\) −576.207 + 4007.61i −0.112576 + 0.782980i
\(298\) 4363.88 0.848298
\(299\) −1937.58 976.592i −0.374760 0.188889i
\(300\) −157.625 −0.0303350
\(301\) 645.972 4492.83i 0.123698 0.860341i
\(302\) −640.273 1402.00i −0.121998 0.267139i
\(303\) −1883.19 552.954i −0.357051 0.104840i
\(304\) −1493.96 1724.12i −0.281857 0.325280i
\(305\) 2925.33 858.955i 0.549194 0.161258i
\(306\) 2618.45 + 1682.77i 0.489172 + 0.314372i
\(307\) 3352.38 7340.69i 0.623226 1.36467i −0.289923 0.957050i \(-0.593630\pi\)
0.913149 0.407625i \(-0.133643\pi\)
\(308\) −1187.23 + 1370.14i −0.219639 + 0.253477i
\(309\) −1608.87 + 1033.96i −0.296200 + 0.190356i
\(310\) −328.035 2281.53i −0.0601005 0.418008i
\(311\) 340.042 + 2365.04i 0.0620000 + 0.431220i 0.997053 + 0.0767124i \(0.0244423\pi\)
−0.935053 + 0.354507i \(0.884649\pi\)
\(312\) −208.673 + 134.106i −0.0378647 + 0.0243342i
\(313\) 1075.71 1241.44i 0.194259 0.224186i −0.650261 0.759711i \(-0.725341\pi\)
0.844520 + 0.535524i \(0.179886\pi\)
\(314\) 1111.93 2434.79i 0.199841 0.437590i
\(315\) −937.339 602.391i −0.167661 0.107749i
\(316\) −813.793 + 238.951i −0.144872 + 0.0425381i
\(317\) −619.823 715.314i −0.109819 0.126738i 0.698179 0.715924i \(-0.253994\pi\)
−0.807998 + 0.589185i \(0.799449\pi\)
\(318\) 1033.12 + 303.350i 0.182183 + 0.0534938i
\(319\) 1467.06 + 3212.41i 0.257491 + 0.563826i
\(320\) −45.5407 + 316.743i −0.00795564 + 0.0553327i
\(321\) −1575.81 −0.273997
\(322\) 1972.46 + 361.504i 0.341369 + 0.0625647i
\(323\) 9051.43 1.55924
\(324\) −303.941 + 2113.95i −0.0521160 + 0.362475i
\(325\) −204.290 447.332i −0.0348676 0.0763493i
\(326\) −5723.79 1680.66i −0.972427 0.285530i
\(327\) −1628.61 1879.51i −0.275420 0.317851i
\(328\) −93.9304 + 27.5805i −0.0158123 + 0.00464292i
\(329\) 3640.42 + 2339.56i 0.610040 + 0.392049i
\(330\) 326.493 714.919i 0.0544631 0.119258i
\(331\) 3478.20 4014.06i 0.577580 0.666563i −0.389502 0.921025i \(-0.627353\pi\)
0.967083 + 0.254462i \(0.0818984\pi\)
\(332\) −2237.10 + 1437.70i −0.369810 + 0.237663i
\(333\) −419.438 2917.26i −0.0690242 0.480074i
\(334\) 6.95633 + 48.3823i 0.00113962 + 0.00792624i
\(335\) −2265.75 + 1456.11i −0.369525 + 0.237480i
\(336\) 150.126 173.254i 0.0243751 0.0281303i
\(337\) 1288.19 2820.74i 0.208226 0.455952i −0.776487 0.630133i \(-0.783000\pi\)
0.984714 + 0.174181i \(0.0557278\pi\)
\(338\) 3045.43 + 1957.18i 0.490088 + 0.314960i
\(339\) 817.608 240.071i 0.130992 0.0384628i
\(340\) −831.431 959.522i −0.132620 0.153051i
\(341\) 11027.5 + 3237.97i 1.75124 + 0.514211i
\(342\) 2904.17 + 6359.24i 0.459180 + 1.00546i
\(343\) 780.543 5428.79i 0.122873 0.854598i
\(344\) 3994.78 0.626117
\(345\) −864.607 + 90.5378i −0.134924 + 0.0141287i
\(346\) 4304.16 0.668766
\(347\) −96.2702 + 669.574i −0.0148935 + 0.103587i −0.995912 0.0903265i \(-0.971209\pi\)
0.981019 + 0.193913i \(0.0621180\pi\)
\(348\) −185.510 406.210i −0.0285758 0.0625722i
\(349\) 66.4770 + 19.5194i 0.0101961 + 0.00299384i 0.286827 0.957983i \(-0.407400\pi\)
−0.276631 + 0.960976i \(0.589218\pi\)
\(350\) 297.632 + 343.485i 0.0454545 + 0.0524573i
\(351\) 1532.60 450.012i 0.233060 0.0684326i
\(352\) −1342.28 862.630i −0.203249 0.130620i
\(353\) 1056.96 2314.43i 0.159367 0.348964i −0.813058 0.582183i \(-0.802199\pi\)
0.972424 + 0.233219i \(0.0749259\pi\)
\(354\) 872.694 1007.14i 0.131026 0.151212i
\(355\) −494.794 + 317.985i −0.0739744 + 0.0475405i
\(356\) 330.173 + 2296.40i 0.0491549 + 0.341880i
\(357\) 129.444 + 900.305i 0.0191903 + 0.133471i
\(358\) −6855.51 + 4405.77i −1.01208 + 0.650425i
\(359\) −1853.04 + 2138.52i −0.272422 + 0.314392i −0.875431 0.483342i \(-0.839423\pi\)
0.603009 + 0.797734i \(0.293968\pi\)
\(360\) 407.363 892.001i 0.0596387 0.130590i
\(361\) 11332.6 + 7283.03i 1.65223 + 1.06182i
\(362\) 1748.51 513.409i 0.253867 0.0745420i
\(363\) 1192.40 + 1376.10i 0.172410 + 0.198972i
\(364\) 686.256 + 201.503i 0.0988176 + 0.0290155i
\(365\) 773.956 + 1694.73i 0.110988 + 0.243030i
\(366\) 273.570 1902.72i 0.0390704 0.271740i
\(367\) 2934.13 0.417331 0.208666 0.977987i \(-0.433088\pi\)
0.208666 + 0.977987i \(0.433088\pi\)
\(368\) −67.8679 + 1763.56i −0.00961374 + 0.249815i
\(369\) 299.995 0.0423228
\(370\) −171.091 + 1189.97i −0.0240395 + 0.167199i
\(371\) −1289.72 2824.08i −0.180482 0.395200i
\(372\) −1394.43 409.442i −0.194349 0.0570661i
\(373\) 7711.60 + 8899.66i 1.07049 + 1.23541i 0.970673 + 0.240402i \(0.0772792\pi\)
0.0998136 + 0.995006i \(0.468175\pi\)
\(374\) 6074.14 1783.53i 0.839803 0.246588i
\(375\) −165.753 106.523i −0.0228252 0.0146689i
\(376\) −1582.11 + 3464.34i −0.216998 + 0.475159i
\(377\) 912.374 1052.94i 0.124641 0.143843i
\(378\) −1241.88 + 798.108i −0.168983 + 0.108599i
\(379\) −899.245 6254.39i −0.121876 0.847668i −0.955427 0.295226i \(-0.904605\pi\)
0.833551 0.552442i \(-0.186304\pi\)
\(380\) −405.836 2822.65i −0.0547866 0.381049i
\(381\) −1500.66 + 964.416i −0.201788 + 0.129681i
\(382\) −1854.56 + 2140.28i −0.248397 + 0.286665i
\(383\) 4930.36 10796.0i 0.657780 1.44034i −0.226797 0.973942i \(-0.572825\pi\)
0.884577 0.466395i \(-0.154447\pi\)
\(384\) 169.731 + 109.080i 0.0225562 + 0.0144960i
\(385\) −2174.39 + 638.459i −0.287837 + 0.0845166i
\(386\) 1319.32 + 1522.57i 0.173968 + 0.200769i
\(387\) −11745.8 3448.89i −1.54283 0.453016i
\(388\) −2337.13 5117.61i −0.305799 0.669606i
\(389\) −724.663 + 5040.15i −0.0944522 + 0.656929i 0.886507 + 0.462715i \(0.153125\pi\)
−0.980959 + 0.194214i \(0.937784\pi\)
\(390\) −310.063 −0.0402580
\(391\) −5111.71 4785.62i −0.661152 0.618975i
\(392\) 2082.99 0.268384
\(393\) 536.538 3731.71i 0.0688671 0.478981i
\(394\) 2802.74 + 6137.14i 0.358376 + 0.784733i
\(395\) −1017.24 298.689i −0.129577 0.0380473i
\(396\) 3201.95 + 3695.25i 0.406323 + 0.468922i
\(397\) −13624.4 + 4000.50i −1.72240 + 0.505741i −0.985414 0.170173i \(-0.945567\pi\)
−0.736981 + 0.675914i \(0.763749\pi\)
\(398\) −8223.49 5284.92i −1.03569 0.665601i
\(399\) −848.668 + 1858.32i −0.106483 + 0.233164i
\(400\) −261.944 + 302.300i −0.0327430 + 0.0377875i
\(401\) −2216.10 + 1424.20i −0.275977 + 0.177360i −0.671307 0.741179i \(-0.734267\pi\)
0.395330 + 0.918539i \(0.370630\pi\)
\(402\) 241.668 + 1680.84i 0.0299834 + 0.208539i
\(403\) −645.275 4487.99i −0.0797604 0.554746i
\(404\) −4190.00 + 2692.75i −0.515990 + 0.331607i
\(405\) −1748.23 + 2017.56i −0.214494 + 0.247539i
\(406\) −534.899 + 1171.27i −0.0653857 + 0.143175i
\(407\) −5042.79 3240.81i −0.614157 0.394695i
\(408\) −768.076 + 225.527i −0.0931996 + 0.0273659i
\(409\) −6748.38 7788.05i −0.815858 0.941550i 0.183280 0.983061i \(-0.441328\pi\)
−0.999138 + 0.0415105i \(0.986783\pi\)
\(410\) −117.413 34.4756i −0.0141430 0.00415275i
\(411\) −1663.54 3642.65i −0.199651 0.437174i
\(412\) −690.685 + 4803.82i −0.0825913 + 0.574435i
\(413\) −3842.54 −0.457818
\(414\) 1722.12 5126.80i 0.204439 0.608620i
\(415\) −3324.06 −0.393185
\(416\) −89.5828 + 623.062i −0.0105581 + 0.0734330i
\(417\) 1979.11 + 4333.64i 0.232415 + 0.508919i
\(418\) 13642.9 + 4005.93i 1.59641 + 0.468747i
\(419\) 6122.67 + 7065.94i 0.713871 + 0.823851i 0.990556 0.137110i \(-0.0437813\pi\)
−0.276685 + 0.960961i \(0.589236\pi\)
\(420\) 274.952 80.7333i 0.0319436 0.00937948i
\(421\) −10993.2 7064.93i −1.27263 0.817871i −0.282672 0.959217i \(-0.591221\pi\)
−0.989960 + 0.141346i \(0.954857\pi\)
\(422\) 2760.38 6044.40i 0.318420 0.697244i
\(423\) 7642.81 8820.28i 0.878502 1.01385i
\(424\) 2298.63 1477.24i 0.263281 0.169201i
\(425\) −225.859 1570.88i −0.0257783 0.179292i
\(426\) 52.7755 + 367.062i 0.00600231 + 0.0417470i
\(427\) −4662.84 + 2996.63i −0.528456 + 0.339618i
\(428\) −2618.71 + 3022.15i −0.295747 + 0.341311i
\(429\) 642.241 1406.31i 0.0722789 0.158269i
\(430\) 4200.78 + 2699.68i 0.471115 + 0.302767i
\(431\) −10172.0 + 2986.76i −1.13681 + 0.333799i −0.795383 0.606107i \(-0.792730\pi\)
−0.341432 + 0.939906i \(0.610912\pi\)
\(432\) −850.808 981.885i −0.0947558 0.109354i
\(433\) 11205.3 + 3290.16i 1.24363 + 0.365162i 0.836377 0.548155i \(-0.184669\pi\)
0.407250 + 0.913317i \(0.366488\pi\)
\(434\) 1740.78 + 3811.77i 0.192534 + 0.421591i
\(435\) 79.4410 552.524i 0.00875611 0.0609000i
\(436\) −6311.06 −0.693223
\(437\) −3847.39 15249.7i −0.421157 1.66932i
\(438\) 1174.68 0.128147
\(439\) 486.821 3385.92i 0.0529264 0.368111i −0.946095 0.323889i \(-0.895010\pi\)
0.999022 0.0442229i \(-0.0140812\pi\)
\(440\) −828.530 1814.23i −0.0897696 0.196568i
\(441\) −6124.60 1798.34i −0.661332 0.194185i
\(442\) −1635.50 1887.47i −0.176002 0.203117i
\(443\) −6684.94 + 1962.88i −0.716956 + 0.210517i −0.619809 0.784753i \(-0.712790\pi\)
−0.0971468 + 0.995270i \(0.530972\pi\)
\(444\) 637.662 + 409.800i 0.0681579 + 0.0438024i
\(445\) −1204.71 + 2637.95i −0.128335 + 0.281013i
\(446\) −5689.97 + 6566.57i −0.604098 + 0.697166i
\(447\) 2893.31 1859.42i 0.306150 0.196750i
\(448\) −82.7924 575.834i −0.00873119 0.0607268i
\(449\) 1639.70 + 11404.3i 0.172343 + 1.19867i 0.873917 + 0.486075i \(0.161572\pi\)
−0.701574 + 0.712597i \(0.747519\pi\)
\(450\) 1031.18 662.702i 0.108023 0.0694224i
\(451\) 399.567 461.125i 0.0417181 0.0481453i
\(452\) 898.297 1967.00i 0.0934786 0.204690i
\(453\) −1021.89 656.730i −0.105988 0.0681145i
\(454\) 9081.60 2666.60i 0.938812 0.275660i
\(455\) 585.469 + 675.667i 0.0603235 + 0.0696170i
\(456\) −1725.15 506.550i −0.177166 0.0520205i
\(457\) −5900.97 12921.3i −0.604017 1.32261i −0.926592 0.376069i \(-0.877276\pi\)
0.322575 0.946544i \(-0.395452\pi\)
\(458\) −1629.05 + 11330.3i −0.166202 + 1.15596i
\(459\) 5154.78 0.524192
\(460\) −1263.18 + 1808.64i −0.128035 + 0.183322i
\(461\) 10243.4 1.03489 0.517443 0.855718i \(-0.326884\pi\)
0.517443 + 0.855718i \(0.326884\pi\)
\(462\) −203.344 + 1414.29i −0.0204771 + 0.142421i
\(463\) 4848.51 + 10616.8i 0.486672 + 1.06566i 0.980575 + 0.196146i \(0.0628428\pi\)
−0.493902 + 0.869517i \(0.664430\pi\)
\(464\) −1087.33 319.269i −0.108789 0.0319433i
\(465\) −1189.64 1372.91i −0.118641 0.136919i
\(466\) −2584.78 + 758.960i −0.256948 + 0.0754467i
\(467\) −562.140 361.265i −0.0557018 0.0357973i 0.512494 0.858691i \(-0.328722\pi\)
−0.568195 + 0.822894i \(0.692358\pi\)
\(468\) 801.320 1754.65i 0.0791475 0.173309i
\(469\) 3206.45 3700.43i 0.315693 0.364329i
\(470\) −4004.90 + 2573.79i −0.393047 + 0.252596i
\(471\) −300.221 2088.09i −0.0293704 0.204276i
\(472\) −481.280 3347.38i −0.0469337 0.326431i
\(473\) −20945.7 + 13461.0i −2.03612 + 1.30854i
\(474\) −437.740 + 505.179i −0.0424179 + 0.0489528i
\(475\) 1480.79 3242.47i 0.143038 0.313210i
\(476\) 1941.75 + 1247.89i 0.186975 + 0.120162i
\(477\) −8034.02 + 2359.00i −0.771179 + 0.226439i
\(478\) 3251.85 + 3752.84i 0.311164 + 0.359102i
\(479\) −3986.66 1170.59i −0.380282 0.111661i 0.0860042 0.996295i \(-0.472590\pi\)
−0.466286 + 0.884634i \(0.654408\pi\)
\(480\) 104.768 + 229.409i 0.00996244 + 0.0218147i
\(481\) −336.552 + 2340.77i −0.0319033 + 0.221892i
\(482\) −8050.54 −0.760772
\(483\) 1461.80 600.768i 0.137711 0.0565961i
\(484\) 4620.70 0.433950
\(485\) 1000.83 6960.94i 0.0937020 0.651712i
\(486\) 2520.76 + 5519.70i 0.235276 + 0.515183i
\(487\) 5224.53 + 1534.06i 0.486131 + 0.142741i 0.515608 0.856824i \(-0.327566\pi\)
−0.0294769 + 0.999565i \(0.509384\pi\)
\(488\) −3194.50 3686.65i −0.296328 0.341981i
\(489\) −4511.06 + 1324.57i −0.417172 + 0.122493i
\(490\) 2190.40 + 1407.68i 0.201943 + 0.129781i
\(491\) −6435.36 + 14091.5i −0.591495 + 1.29519i 0.343040 + 0.939321i \(0.388543\pi\)
−0.934535 + 0.355872i \(0.884184\pi\)
\(492\) −50.5253 + 58.3093i −0.00462979 + 0.00534306i
\(493\) 3782.45 2430.83i 0.345544 0.222068i
\(494\) −798.315 5552.40i −0.0727083 0.505697i
\(495\) 869.813 + 6049.68i 0.0789801 + 0.549319i
\(496\) −3102.54 + 1993.88i −0.280863 + 0.180500i
\(497\) 700.223 808.101i 0.0631978 0.0729341i
\(498\) −870.636 + 1906.43i −0.0783416 + 0.171544i
\(499\) 1927.89 + 1238.98i 0.172954 + 0.111151i 0.624254 0.781222i \(-0.285403\pi\)
−0.451300 + 0.892372i \(0.649039\pi\)
\(500\) −479.746 + 140.866i −0.0429098 + 0.0125995i
\(501\) 25.2275 + 29.1141i 0.00224966 + 0.00259625i
\(502\) −13273.7 3897.50i −1.18014 0.346522i
\(503\) −5227.87 11447.4i −0.463418 1.01474i −0.986695 0.162582i \(-0.948018\pi\)
0.523277 0.852163i \(-0.324709\pi\)
\(504\) −253.711 + 1764.60i −0.0224230 + 0.155956i
\(505\) −6225.82 −0.548605
\(506\) −5586.73 9475.53i −0.490831 0.832487i
\(507\) 2853.10 0.249922
\(508\) −644.229 + 4480.71i −0.0562658 + 0.391337i
\(509\) 937.037 + 2051.83i 0.0815981 + 0.178675i 0.946033 0.324069i \(-0.105051\pi\)
−0.864435 + 0.502744i \(0.832324\pi\)
\(510\) −960.095 281.909i −0.0833602 0.0244768i
\(511\) −2218.06 2559.78i −0.192018 0.221601i
\(512\) 491.260 144.247i 0.0424040 0.0124509i
\(513\) 9740.01 + 6259.52i 0.838269 + 0.538723i
\(514\) 3672.71 8042.11i 0.315168 0.690122i
\(515\) −3972.73 + 4584.77i −0.339921 + 0.392290i
\(516\) 2648.59 1702.15i 0.225965 0.145219i
\(517\) −3378.16 23495.6i −0.287372 1.99872i
\(518\) −311.042 2163.34i −0.0263830 0.183498i
\(519\) 2853.71 1833.97i 0.241357 0.155111i
\(520\) −515.268 + 594.651i −0.0434538 + 0.0501484i
\(521\) 888.270 1945.04i 0.0746945 0.163558i −0.868601 0.495512i \(-0.834981\pi\)
0.943296 + 0.331954i \(0.107708\pi\)
\(522\) 2921.43 + 1877.49i 0.244957 + 0.157424i
\(523\) −369.356 + 108.453i −0.0308811 + 0.00906752i −0.297137 0.954835i \(-0.596032\pi\)
0.266256 + 0.963902i \(0.414214\pi\)
\(524\) −6265.19 7230.42i −0.522321 0.602790i
\(525\) 343.690 + 100.917i 0.0285712 + 0.00838926i
\(526\) 270.441 + 592.183i 0.0224179 + 0.0490883i
\(527\) 2082.42 14483.5i 0.172128 1.19718i
\(528\) −1257.51 −0.103648
\(529\) −5889.98 + 10646.3i −0.484094 + 0.875016i
\(530\) 3415.48 0.279923
\(531\) −1474.85 + 10257.8i −0.120533 + 0.838325i
\(532\) 2153.64 + 4715.81i 0.175511 + 0.384316i
\(533\) −230.962 67.8166i −0.0187694 0.00551119i
\(534\) 1197.39 + 1381.86i 0.0970339 + 0.111983i
\(535\) −4796.11 + 1408.27i −0.387578 + 0.113803i
\(536\) 3625.20 + 2329.77i 0.292135 + 0.187744i
\(537\) −2668.03 + 5842.16i −0.214402 + 0.469475i
\(538\) −911.540 + 1051.97i −0.0730470 + 0.0843007i
\(539\) −10921.7 + 7018.93i −0.872783 + 0.560903i
\(540\) −231.123 1607.49i −0.0184184 0.128103i
\(541\) 2683.84 + 18666.5i 0.213285 + 1.48343i 0.762085 + 0.647477i \(0.224176\pi\)
−0.548799 + 0.835954i \(0.684915\pi\)
\(542\) −5935.20 + 3814.32i −0.470366 + 0.302286i
\(543\) 940.526 1085.43i 0.0743312 0.0857828i
\(544\) −843.877 + 1847.83i −0.0665091 + 0.145635i
\(545\) −6636.50 4265.02i −0.521608 0.335217i
\(546\) 540.856 158.810i 0.0423929 0.0124477i
\(547\) −1851.55 2136.81i −0.144729 0.167026i 0.678757 0.734363i \(-0.262519\pi\)
−0.823486 + 0.567337i \(0.807974\pi\)
\(548\) −9750.53 2863.01i −0.760076 0.223179i
\(549\) 6209.91 + 13597.8i 0.482755 + 1.05709i
\(550\) 354.802 2467.70i 0.0275069 0.191315i
\(551\) 10098.8 0.780804
\(552\) 706.443 + 1198.18i 0.0544714 + 0.0923877i
\(553\) 1927.40 0.148212
\(554\) −110.354 + 767.532i −0.00846301 + 0.0588616i
\(555\) 393.601 + 861.865i 0.0301034 + 0.0659173i
\(556\) 11600.1 + 3406.11i 0.884812 + 0.259804i
\(557\) 9469.68 + 10928.6i 0.720365 + 0.831345i 0.991351 0.131238i \(-0.0418952\pi\)
−0.270986 + 0.962583i \(0.587350\pi\)
\(558\) 10843.8 3184.03i 0.822679 0.241560i
\(559\) 8263.31 + 5310.51i 0.625225 + 0.401808i
\(560\) 302.087 661.479i 0.0227956 0.0499153i
\(561\) 3267.29 3770.65i 0.245891 0.283774i
\(562\) 1899.55 1220.76i 0.142576 0.0916279i
\(563\) 2716.16 + 18891.3i 0.203326 + 1.41417i 0.794325 + 0.607493i \(0.207825\pi\)
−0.590999 + 0.806672i \(0.701266\pi\)
\(564\) 427.169 + 2971.03i 0.0318920 + 0.221814i
\(565\) 2273.92 1461.36i 0.169318 0.108814i
\(566\) 2049.45 2365.20i 0.152200 0.175648i
\(567\) 2016.14 4414.74i 0.149330 0.326987i
\(568\) 791.670 + 508.775i 0.0584819 + 0.0375840i
\(569\) 7334.61 2153.64i 0.540392 0.158673i −0.000135242 1.00000i \(-0.500043\pi\)
0.540527 + 0.841327i \(0.318225\pi\)
\(570\) −1471.78 1698.53i −0.108151 0.124813i
\(571\) −6461.15 1897.17i −0.473539 0.139044i 0.0362504 0.999343i \(-0.488459\pi\)
−0.509790 + 0.860299i \(0.670277\pi\)
\(572\) −1629.79 3568.75i −0.119135 0.260869i
\(573\) −317.642 + 2209.25i −0.0231583 + 0.161069i
\(574\) 222.467 0.0161770
\(575\) −2550.60 + 1048.24i −0.184987 + 0.0760256i
\(576\) −1568.99 −0.113497
\(577\) −1818.99 + 12651.4i −0.131240 + 0.912796i 0.812701 + 0.582681i \(0.197996\pi\)
−0.943941 + 0.330115i \(0.892913\pi\)
\(578\) 733.706 + 1606.59i 0.0527995 + 0.115615i
\(579\) 1523.48 + 447.335i 0.109350 + 0.0321081i
\(580\) −927.638 1070.55i −0.0664104 0.0766417i
\(581\) 5798.31 1702.54i 0.414035 0.121572i
\(582\) −3730.13 2397.21i −0.265668 0.170734i
\(583\) −7074.57 + 15491.1i −0.502570 + 1.10048i
\(584\) 1952.11 2252.85i 0.138320 0.159629i
\(585\) 2028.43 1303.60i 0.143360 0.0921317i
\(586\) 781.098 + 5432.66i 0.0550629 + 0.382971i
\(587\) −1490.99 10370.0i −0.104837 0.729161i −0.972651 0.232271i \(-0.925384\pi\)
0.867814 0.496890i \(-0.165525\pi\)
\(588\) 1381.05 887.545i 0.0968596 0.0622479i
\(589\) 21522.3 24838.1i 1.50562 1.73758i
\(590\) 1756.06 3845.24i 0.122536 0.268315i
\(591\) 4473.25 + 2874.78i 0.311345 + 0.200089i
\(592\) 1845.61 541.920i 0.128132 0.0376229i
\(593\) 452.618 + 522.350i 0.0313437 + 0.0361726i 0.771205 0.636587i \(-0.219654\pi\)
−0.739861 + 0.672759i \(0.765109\pi\)
\(594\) 7769.63 + 2281.37i 0.536687 + 0.157585i
\(595\) 1198.56 + 2624.48i 0.0825818 + 0.180829i
\(596\) 1242.09 8638.93i 0.0853658 0.593732i
\(597\) −7704.15 −0.528157
\(598\) −2484.80 + 3557.75i −0.169918 + 0.243290i
\(599\) 24245.8 1.65385 0.826924 0.562314i \(-0.190089\pi\)
0.826924 + 0.562314i \(0.190089\pi\)
\(600\) −44.8648 + 312.041i −0.00305266 + 0.0212317i
\(601\) 5779.94 + 12656.3i 0.392294 + 0.859004i 0.997994 + 0.0633105i \(0.0201658\pi\)
−0.605700 + 0.795693i \(0.707107\pi\)
\(602\) −8710.34 2557.59i −0.589712 0.173155i
\(603\) −8647.75 9980.03i −0.584019 0.673994i
\(604\) −2957.70 + 868.460i −0.199250 + 0.0585052i
\(605\) 4858.98 + 3122.68i 0.326522 + 0.209843i
\(606\) −1630.66 + 3570.65i −0.109309 + 0.239353i
\(607\) −16784.4 + 19370.3i −1.12234 + 1.29525i −0.171628 + 0.985162i \(0.554903\pi\)
−0.950709 + 0.310084i \(0.899643\pi\)
\(608\) −3838.37 + 2466.77i −0.256030 + 0.164541i
\(609\) 144.423 + 1004.48i 0.00960969 + 0.0668368i
\(610\) −867.788 6035.60i −0.0575995 0.400614i
\(611\) −7878.00 + 5062.88i −0.521620 + 0.335225i
\(612\) 4076.58 4704.62i 0.269258 0.310740i
\(613\) 10734.8 23505.9i 0.707297 1.54877i −0.123596 0.992333i \(-0.539443\pi\)
0.830893 0.556432i \(-0.187830\pi\)
\(614\) −13577.8 8725.89i −0.892432 0.573531i
\(615\) −92.5362 + 27.1711i −0.00606735 + 0.00178153i
\(616\) 2374.46 + 2740.28i 0.155308 + 0.179235i
\(617\) −2629.46 772.078i −0.171569 0.0503771i 0.194820 0.980839i \(-0.437588\pi\)
−0.366389 + 0.930462i \(0.619406\pi\)
\(618\) 1588.94 + 3479.29i 0.103425 + 0.226469i
\(619\) 1682.97 11705.3i 0.109280 0.760057i −0.859321 0.511436i \(-0.829114\pi\)
0.968601 0.248621i \(-0.0799772\pi\)
\(620\) −4609.99 −0.298616
\(621\) −2191.08 8684.70i −0.141586 0.561200i
\(622\) 4778.73 0.308054
\(623\) 750.312 5218.53i 0.0482514 0.335596i
\(624\) 206.088 + 451.269i 0.0132213 + 0.0289507i
\(625\) −599.683 176.083i −0.0383797 0.0112693i
\(626\) −2151.43 2482.88i −0.137362 0.158524i
\(627\) 10752.3 3157.17i 0.684860 0.201093i
\(628\) −4503.53 2894.24i −0.286163 0.183906i
\(629\) −3170.35 + 6942.10i −0.200970 + 0.440063i
\(630\) −1459.31 + 1684.14i −0.0922865 + 0.106504i
\(631\) −21493.6 + 13813.1i −1.35602 + 0.871461i −0.998059 0.0622760i \(-0.980164\pi\)
−0.357960 + 0.933737i \(0.616528\pi\)
\(632\) 241.408 + 1679.03i 0.0151942 + 0.105678i
\(633\) −745.303 5183.70i −0.0467980 0.325487i
\(634\) −1592.49 + 1023.43i −0.0997566 + 0.0641097i
\(635\) −3705.52 + 4276.40i −0.231573 + 0.267250i
\(636\) 894.580 1958.86i 0.0557742 0.122128i
\(637\) 4308.71 + 2769.04i 0.268002 + 0.172235i
\(638\) 6776.99 1989.91i 0.420539 0.123481i
\(639\) −1888.49 2179.44i −0.116913 0.134925i
\(640\) 614.076 + 180.309i 0.0379273 + 0.0111365i
\(641\) −3121.08 6834.20i −0.192317 0.421115i 0.788769 0.614690i \(-0.210719\pi\)
−0.981085 + 0.193575i \(0.937992\pi\)
\(642\) −448.521 + 3119.54i −0.0275728 + 0.191773i
\(643\) −11693.5 −0.717177 −0.358588 0.933496i \(-0.616742\pi\)
−0.358588 + 0.933496i \(0.616742\pi\)
\(644\) 1277.07 3801.87i 0.0781422 0.232631i
\(645\) 3935.48 0.240247
\(646\) 2576.30 17918.6i 0.156909 1.09133i
\(647\) 3472.15 + 7602.94i 0.210980 + 0.461982i 0.985305 0.170807i \(-0.0546374\pi\)
−0.774324 + 0.632789i \(0.781910\pi\)
\(648\) 4098.36 + 1203.39i 0.248455 + 0.0729530i
\(649\) 13803.0 + 15929.5i 0.834845 + 0.963462i
\(650\) −943.705 + 277.097i −0.0569464 + 0.0167210i
\(651\) 2778.32 + 1785.52i 0.167267 + 0.107496i
\(652\) −4956.26 + 10852.7i −0.297703 + 0.651878i
\(653\) 20631.8 23810.3i 1.23642 1.42691i 0.368930 0.929457i \(-0.379724\pi\)
0.867493 0.497450i \(-0.165730\pi\)
\(654\) −4184.32 + 2689.10i −0.250183 + 0.160783i
\(655\) −1701.95 11837.3i −0.101527 0.706139i
\(656\) 27.8641 + 193.799i 0.00165840 + 0.0115344i
\(657\) −7684.77 + 4938.70i −0.456334 + 0.293268i
\(658\) 5667.66 6540.83i 0.335788 0.387520i
\(659\) 5579.57 12217.6i 0.329817 0.722198i −0.669979 0.742380i \(-0.733697\pi\)
0.999796 + 0.0201814i \(0.00642437\pi\)
\(660\) −1322.36 849.826i −0.0779888 0.0501204i
\(661\) 28891.4 8483.28i 1.70007 0.499185i 0.719355 0.694642i \(-0.244437\pi\)
0.980712 + 0.195457i \(0.0626191\pi\)
\(662\) −6956.40 8028.11i −0.408411 0.471331i
\(663\) −1888.59 554.541i −0.110629 0.0324835i
\(664\) 2209.38 + 4837.88i 0.129128 + 0.282750i
\(665\) −922.254 + 6414.42i −0.0537796 + 0.374046i
\(666\) −5894.51 −0.342954
\(667\) −5703.20 5339.38i −0.331078 0.309957i
\(668\) 97.7597 0.00566233
\(669\) −974.555 + 6778.18i −0.0563206 + 0.391718i
\(670\) 2237.67 + 4899.82i 0.129028 + 0.282532i
\(671\) 29172.3 + 8565.77i 1.67837 + 0.492814i
\(672\) −300.251 346.508i −0.0172358 0.0198911i
\(673\) 11776.5 3457.90i 0.674520 0.198057i 0.0735054 0.997295i \(-0.476581\pi\)
0.601015 + 0.799238i \(0.294763\pi\)
\(674\) −5217.41 3353.02i −0.298171 0.191623i
\(675\) 843.305 1846.58i 0.0480872 0.105296i
\(676\) 4741.34 5471.79i 0.269762 0.311322i
\(677\) −5322.66 + 3420.67i −0.302166 + 0.194190i −0.682934 0.730480i \(-0.739296\pi\)
0.380768 + 0.924671i \(0.375660\pi\)
\(678\) −242.540 1686.90i −0.0137385 0.0955532i
\(679\) 1819.50 + 12654.9i 0.102836 + 0.715243i
\(680\) −2136.16 + 1372.83i −0.120468 + 0.0774199i
\(681\) 4885.00 5637.59i 0.274881 0.317229i
\(682\) 9548.79 20908.9i 0.536132 1.17397i
\(683\) 12901.2 + 8291.09i 0.722768 + 0.464495i 0.849599 0.527430i \(-0.176844\pi\)
−0.126831 + 0.991924i \(0.540481\pi\)
\(684\) 13415.6 3939.19i 0.749941 0.220203i
\(685\) −8318.50 9600.07i −0.463991 0.535474i
\(686\) −10524.9 3090.39i −0.585777 0.172000i
\(687\) 3747.68 + 8206.28i 0.208127 + 0.455734i
\(688\) 1137.03 7908.24i 0.0630072 0.438225i
\(689\) 6718.56 0.371490
\(690\) −66.8605 + 1737.38i −0.00368889 + 0.0958566i
\(691\) −7562.99 −0.416367 −0.208183 0.978090i \(-0.566755\pi\)
−0.208183 + 0.978090i \(0.566755\pi\)
\(692\) 1225.09 8520.70i 0.0672991 0.468076i
\(693\) −4615.81 10107.2i −0.253016 0.554028i
\(694\) 1298.12 + 381.161i 0.0710026 + 0.0208482i
\(695\) 9896.48 + 11421.1i 0.540136 + 0.623351i
\(696\) −856.952 + 251.624i −0.0466705 + 0.0137037i
\(697\) −653.505 419.982i −0.0355140 0.0228235i
\(698\) 57.5628 126.045i 0.00312147 0.00683506i
\(699\) −1390.36 + 1604.56i −0.0752334 + 0.0868239i
\(700\) 764.693 491.439i 0.0412896 0.0265352i
\(701\) −3040.15 21144.7i −0.163801 1.13926i −0.891386 0.453245i \(-0.850266\pi\)
0.727584 0.686018i \(-0.240643\pi\)
\(702\) −454.639 3162.09i −0.0244434 0.170008i
\(703\) −14420.3 + 9267.38i −0.773646 + 0.497192i
\(704\) −2089.75 + 2411.70i −0.111876 + 0.129111i
\(705\) −1558.63 + 3412.92i −0.0832642 + 0.182323i
\(706\) −4280.89 2751.16i −0.228206 0.146659i
\(707\) 10860.0 3188.78i 0.577697 0.169627i
\(708\) −1745.39 2014.29i −0.0926493 0.106923i
\(709\) −24924.0 7318.36i −1.32023 0.387654i −0.455653 0.890157i \(-0.650594\pi\)
−0.864575 + 0.502503i \(0.832413\pi\)
\(710\) 488.663 + 1070.02i 0.0258299 + 0.0565595i
\(711\) 739.779 5145.27i 0.0390209 0.271396i
\(712\) 4640.04 0.244231
\(713\) −25286.8 + 2647.92i −1.32819 + 0.139082i
\(714\) 1819.13 0.0953489
\(715\) 697.928 4854.19i 0.0365049 0.253897i
\(716\) 6770.57 + 14825.5i 0.353391 + 0.773818i
\(717\) 3755.08 + 1102.59i 0.195587 + 0.0574295i
\(718\) 3706.07 + 4277.04i 0.192632 + 0.222309i
\(719\) 15566.1 4570.63i 0.807397 0.237073i 0.148116 0.988970i \(-0.452679\pi\)
0.659281 + 0.751897i \(0.270861\pi\)
\(720\) −1649.90 1060.32i −0.0854000 0.0548832i
\(721\) 4581.55 10032.2i 0.236652 0.518195i
\(722\) 17643.4 20361.6i 0.909445 1.04956i
\(723\) −5337.62 + 3430.28i −0.274562 + 0.176450i
\(724\) −518.689 3607.56i −0.0266256 0.185185i
\(725\) −251.994 1752.65i −0.0129087 0.0897820i
\(726\) 3063.59 1968.85i 0.156612 0.100648i
\(727\) −2979.39 + 3438.40i −0.151994 + 0.175410i −0.826640 0.562731i \(-0.809751\pi\)
0.674646 + 0.738141i \(0.264296\pi\)
\(728\) 594.233 1301.19i 0.0302524 0.0662435i
\(729\) −8104.25 5208.28i −0.411738 0.264608i
\(730\) 3575.25 1049.79i 0.181268 0.0532252i
\(731\) 20758.6 + 23956.8i 1.05032 + 1.21214i
\(732\) −3688.85 1083.14i −0.186262 0.0546914i
\(733\) 9526.45 + 20860.0i 0.480037 + 1.05114i 0.982453 + 0.186509i \(0.0597174\pi\)
−0.502416 + 0.864626i \(0.667555\pi\)
\(734\) 835.141 5808.54i 0.0419968 0.292094i
\(735\) 2052.07 0.102982
\(736\) 3471.90 + 636.316i 0.173880 + 0.0318681i
\(737\) −26858.4 −1.34239
\(738\) 85.3875 593.883i 0.00425902 0.0296221i
\(739\) −893.248 1955.94i −0.0444637 0.0973619i 0.886097 0.463501i \(-0.153407\pi\)
−0.930560 + 0.366139i \(0.880680\pi\)
\(740\) 2307.01 + 677.400i 0.114605 + 0.0336510i
\(741\) −2895.13 3341.16i −0.143529 0.165642i
\(742\) −5957.77 + 1749.36i −0.294766 + 0.0865512i
\(743\) 17805.3 + 11442.8i 0.879158 + 0.565000i 0.900541 0.434771i \(-0.143171\pi\)
−0.0213833 + 0.999771i \(0.506807\pi\)
\(744\) −1207.45 + 2643.94i −0.0594988 + 0.130284i
\(745\) 7144.34 8245.00i 0.351340 0.405468i
\(746\) 19813.1 12733.1i 0.972399 0.624923i
\(747\) −2319.47 16132.3i −0.113608 0.790159i
\(748\) −1801.87 12532.3i −0.0880787 0.612601i
\(749\) 7644.78 4913.00i 0.372943 0.239676i
\(750\) −258.056 + 297.813i −0.0125638 + 0.0144994i
\(751\) 1888.63 4135.53i 0.0917673 0.200942i −0.858183 0.513344i \(-0.828406\pi\)
0.949950 + 0.312402i \(0.101134\pi\)
\(752\) 6407.84 + 4118.07i 0.310731 + 0.199695i
\(753\) −10461.3 + 3071.72i −0.506283 + 0.148658i
\(754\) −1824.75 2105.87i −0.0881344 0.101713i
\(755\) −3697.13 1085.57i −0.178215 0.0523286i
\(756\) 1226.49 + 2685.65i 0.0590041 + 0.129201i
\(757\) 2794.05 19433.1i 0.134150 0.933033i −0.805913 0.592033i \(-0.798325\pi\)
0.940063 0.341000i \(-0.110766\pi\)
\(758\) −12637.4 −0.605556
\(759\) −7741.53 3901.93i −0.370224 0.186602i
\(760\) −5703.35 −0.272213
\(761\) 3632.36 25263.6i 0.173026 1.20342i −0.699419 0.714712i \(-0.746558\pi\)
0.872445 0.488712i \(-0.162533\pi\)
\(762\) 1482.07 + 3245.27i 0.0704588 + 0.154283i
\(763\) 13760.8 + 4040.54i 0.652917 + 0.191714i
\(764\) 3709.12 + 4280.56i 0.175643 + 0.202703i
\(765\) 7466.18 2192.27i 0.352863 0.103610i
\(766\) −19968.9 12833.2i −0.941912 0.605330i
\(767\) 3454.34 7563.94i 0.162619 0.356086i
\(768\) 264.250 304.960i 0.0124157 0.0143285i
\(769\) −33125.4 + 21288.4i −1.55336 + 0.998281i −0.568949 + 0.822373i \(0.692650\pi\)
−0.984406 + 0.175909i \(0.943714\pi\)
\(770\) 645.025 + 4486.25i 0.0301884 + 0.209965i
\(771\) −991.631 6896.94i −0.0463200