Properties

Label 177.4.e.a.4.9
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.857263 + 0.0932330i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.08676 - 1.55991i) q^{4} +(6.24712 + 4.74894i) q^{5} +(-1.87812 + 1.77905i) q^{6} +(0.937924 - 2.35401i) q^{7} +(-12.4672 - 4.20069i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(0.857263 + 0.0932330i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-7.08676 - 1.55991i) q^{4} +(6.24712 + 4.74894i) q^{5} +(-1.87812 + 1.77905i) q^{6} +(0.937924 - 2.35401i) q^{7} +(-12.4672 - 4.20069i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(4.91267 + 4.65353i) q^{10} +(-28.1319 + 13.0152i) q^{11} +(17.3303 - 13.1742i) q^{12} +(9.71699 - 59.2710i) q^{13} +(1.02352 - 1.93056i) q^{14} +(-22.9913 + 5.06077i) q^{15} +(42.3899 + 19.6116i) q^{16} +(-19.2476 - 48.3078i) q^{17} +(-0.420165 - 7.74948i) q^{18} +(-7.38592 - 10.8934i) q^{19} +(-36.8639 - 43.3996i) q^{20} +(3.56082 + 6.71641i) q^{21} +(-25.3299 + 8.53464i) q^{22} +(10.0245 - 184.892i) q^{23} +(33.8181 - 20.3477i) q^{24} +(-16.9669 - 61.1093i) q^{25} +(13.8560 - 49.9049i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-10.3189 + 15.2192i) q^{28} +(-231.508 + 25.1780i) q^{29} +(-20.1814 + 2.19486i) q^{30} +(182.807 - 269.620i) q^{31} +(124.692 + 75.0250i) q^{32} +(24.8776 - 89.6009i) q^{33} +(-11.9964 - 43.2070i) q^{34} +(17.0384 - 10.2517i) q^{35} +(-3.53569 + 65.2119i) q^{36} +(-370.437 + 124.815i) q^{37} +(-5.31605 - 10.0271i) q^{38} +(116.650 + 137.331i) q^{39} +(-57.9354 - 85.4483i) q^{40} +(22.2309 + 410.025i) q^{41} +(2.42637 + 6.08972i) q^{42} +(-119.670 - 55.3653i) q^{43} +(219.667 - 48.3523i) q^{44} +(33.0814 - 62.3981i) q^{45} +(25.8317 - 157.566i) q^{46} +(298.590 - 226.982i) q^{47} +(-127.170 + 58.8349i) q^{48} +(244.355 + 231.465i) q^{49} +(-8.84771 - 53.9686i) q^{50} +(147.837 + 49.8121i) q^{51} +(-161.320 + 404.881i) q^{52} +(-135.943 + 128.772i) q^{53} +(18.5351 + 14.0900i) q^{54} +(-237.552 - 52.2892i) q^{55} +(-21.5818 + 25.4080i) q^{56} +(39.2523 + 4.26894i) q^{57} -200.811 q^{58} +(326.704 + 314.075i) q^{59} +170.828 q^{60} +(-462.690 - 50.3206i) q^{61} +(181.851 - 214.092i) q^{62} +(-22.2727 - 4.90258i) q^{63} +(-197.564 - 150.184i) q^{64} +(342.178 - 324.128i) q^{65} +(29.6804 - 74.4921i) q^{66} +(-994.373 - 335.043i) q^{67} +(61.0470 + 372.370i) q^{68} +(403.283 + 382.010i) q^{69} +(15.5622 - 7.19983i) q^{70} +(-490.423 + 372.810i) q^{71} +(-19.1555 + 116.843i) q^{72} +(275.109 - 518.910i) q^{73} +(-329.199 + 72.4623i) q^{74} +(172.678 + 79.8894i) q^{75} +(35.3494 + 88.7204i) q^{76} +(4.25236 + 78.4302i) q^{77} +(87.1963 + 128.605i) q^{78} +(296.721 + 349.327i) q^{79} +(171.680 + 323.823i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-19.1701 + 353.572i) q^{82} +(837.099 - 503.666i) q^{83} +(-14.7576 - 53.1522i) q^{84} +(109.169 - 393.191i) q^{85} +(-97.4269 - 58.6198i) q^{86} +(392.056 - 578.239i) q^{87} +(405.400 - 44.0899i) q^{88} +(203.471 - 22.1288i) q^{89} +(34.1770 - 50.4073i) q^{90} +(-130.411 - 78.4656i) q^{91} +(-359.457 + 1294.65i) q^{92} +(261.443 + 941.631i) q^{93} +(277.132 - 166.745i) q^{94} +(5.59143 - 103.128i) q^{95} +(-413.716 + 139.397i) q^{96} +(384.501 + 725.245i) q^{97} +(187.896 + 221.209i) q^{98} +(156.555 + 230.901i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.857263 + 0.0932330i 0.303088 + 0.0329628i 0.258400 0.966038i \(-0.416805\pi\)
0.0446887 + 0.999001i \(0.485770\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) −7.08676 1.55991i −0.885845 0.194989i
\(5\) 6.24712 + 4.74894i 0.558760 + 0.424758i 0.846064 0.533081i \(-0.178966\pi\)
−0.287304 + 0.957839i \(0.592759\pi\)
\(6\) −1.87812 + 1.77905i −0.127790 + 0.121049i
\(7\) 0.937924 2.35401i 0.0506431 0.127105i −0.901479 0.432823i \(-0.857517\pi\)
0.952122 + 0.305719i \(0.0988967\pi\)
\(8\) −12.4672 4.20069i −0.550978 0.185646i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 4.91267 + 4.65353i 0.155352 + 0.147158i
\(11\) −28.1319 + 13.0152i −0.771100 + 0.356749i −0.765667 0.643237i \(-0.777591\pi\)
−0.00543211 + 0.999985i \(0.501729\pi\)
\(12\) 17.3303 13.1742i 0.416903 0.316921i
\(13\) 9.71699 59.2710i 0.207308 1.26452i −0.654021 0.756477i \(-0.726919\pi\)
0.861329 0.508048i \(-0.169633\pi\)
\(14\) 1.02352 1.93056i 0.0195391 0.0368546i
\(15\) −22.9913 + 5.06077i −0.395755 + 0.0871123i
\(16\) 42.3899 + 19.6116i 0.662341 + 0.306432i
\(17\) −19.2476 48.3078i −0.274602 0.689198i −1.00000 0.000868369i \(-0.999724\pi\)
0.725398 0.688330i \(-0.241656\pi\)
\(18\) −0.420165 7.74948i −0.00550188 0.101476i
\(19\) −7.38592 10.8934i −0.0891814 0.131533i 0.780481 0.625179i \(-0.214974\pi\)
−0.869663 + 0.493646i \(0.835664\pi\)
\(20\) −36.8639 43.3996i −0.412151 0.485222i
\(21\) 3.56082 + 6.71641i 0.0370016 + 0.0697925i
\(22\) −25.3299 + 8.53464i −0.245471 + 0.0827087i
\(23\) 10.0245 184.892i 0.0908809 1.67620i −0.497383 0.867531i \(-0.665706\pi\)
0.588264 0.808669i \(-0.299812\pi\)
\(24\) 33.8181 20.3477i 0.287629 0.173061i
\(25\) −16.9669 61.1093i −0.135735 0.488874i
\(26\) 13.8560 49.9049i 0.104515 0.376429i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −10.3189 + 15.2192i −0.0696460 + 0.102720i
\(29\) −231.508 + 25.1780i −1.48241 + 0.161222i −0.813258 0.581903i \(-0.802308\pi\)
−0.669153 + 0.743125i \(0.733343\pi\)
\(30\) −20.1814 + 2.19486i −0.122820 + 0.0133575i
\(31\) 182.807 269.620i 1.05913 1.56210i 0.255656 0.966768i \(-0.417709\pi\)
0.803477 0.595336i \(-0.202981\pi\)
\(32\) 124.692 + 75.0250i 0.688835 + 0.414458i
\(33\) 24.8776 89.6009i 0.131231 0.472652i
\(34\) −11.9964 43.2070i −0.0605106 0.217940i
\(35\) 17.0384 10.2517i 0.0822861 0.0495099i
\(36\) −3.53569 + 65.2119i −0.0163689 + 0.301907i
\(37\) −370.437 + 124.815i −1.64593 + 0.554580i −0.981282 0.192574i \(-0.938316\pi\)
−0.664651 + 0.747154i \(0.731420\pi\)
\(38\) −5.31605 10.0271i −0.0226941 0.0428057i
\(39\) 116.650 + 137.331i 0.478949 + 0.563862i
\(40\) −57.9354 85.4483i −0.229010 0.337764i
\(41\) 22.2309 + 410.025i 0.0846801 + 1.56183i 0.664625 + 0.747177i \(0.268591\pi\)
−0.579945 + 0.814655i \(0.696926\pi\)
\(42\) 2.42637 + 6.08972i 0.00891420 + 0.0223730i
\(43\) −119.670 55.3653i −0.424407 0.196352i 0.196047 0.980595i \(-0.437190\pi\)
−0.620454 + 0.784243i \(0.713052\pi\)
\(44\) 219.667 48.3523i 0.752636 0.165668i
\(45\) 33.0814 62.3981i 0.109588 0.206706i
\(46\) 25.8317 157.566i 0.0827973 0.505041i
\(47\) 298.590 226.982i 0.926676 0.704441i −0.0287765 0.999586i \(-0.509161\pi\)
0.955452 + 0.295145i \(0.0953680\pi\)
\(48\) −127.170 + 58.8349i −0.382403 + 0.176918i
\(49\) 244.355 + 231.465i 0.712405 + 0.674825i
\(50\) −8.84771 53.9686i −0.0250251 0.152646i
\(51\) 147.837 + 49.8121i 0.405908 + 0.136766i
\(52\) −161.320 + 404.881i −0.430211 + 1.07975i
\(53\) −135.943 + 128.772i −0.352324 + 0.333739i −0.843309 0.537429i \(-0.819396\pi\)
0.490985 + 0.871168i \(0.336637\pi\)
\(54\) 18.5351 + 14.0900i 0.0467094 + 0.0355076i
\(55\) −237.552 52.2892i −0.582391 0.128194i
\(56\) −21.5818 + 25.4080i −0.0514997 + 0.0606302i
\(57\) 39.2523 + 4.26894i 0.0912121 + 0.00991992i
\(58\) −200.811 −0.454616
\(59\) 326.704 + 314.075i 0.720903 + 0.693036i
\(60\) 170.828 0.367563
\(61\) −462.690 50.3206i −0.971170 0.105621i −0.391241 0.920288i \(-0.627954\pi\)
−0.579929 + 0.814667i \(0.696920\pi\)
\(62\) 181.851 214.092i 0.372502 0.438543i
\(63\) −22.2727 4.90258i −0.0445411 0.00980425i
\(64\) −197.564 150.184i −0.385866 0.293328i
\(65\) 342.178 324.128i 0.652953 0.618509i
\(66\) 29.6804 74.4921i 0.0553546 0.138930i
\(67\) −994.373 335.043i −1.81316 0.610926i −0.999565 0.0295013i \(-0.990608\pi\)
−0.813600 0.581425i \(-0.802495\pi\)
\(68\) 61.0470 + 372.370i 0.108868 + 0.664067i
\(69\) 403.283 + 382.010i 0.703617 + 0.666502i
\(70\) 15.5622 7.19983i 0.0265719 0.0122935i
\(71\) −490.423 + 372.810i −0.819753 + 0.623160i −0.928677 0.370890i \(-0.879053\pi\)
0.108924 + 0.994050i \(0.465260\pi\)
\(72\) −19.1555 + 116.843i −0.0313541 + 0.191251i
\(73\) 275.109 518.910i 0.441083 0.831971i −0.558913 0.829226i \(-0.688782\pi\)
0.999996 0.00274465i \(-0.000873649\pi\)
\(74\) −329.199 + 72.4623i −0.517144 + 0.113832i
\(75\) 172.678 + 79.8894i 0.265855 + 0.122998i
\(76\) 35.3494 + 88.7204i 0.0533534 + 0.133907i
\(77\) 4.25236 + 78.4302i 0.00629353 + 0.116077i
\(78\) 87.1963 + 128.605i 0.126577 + 0.186688i
\(79\) 296.721 + 349.327i 0.422578 + 0.497498i 0.931716 0.363187i \(-0.118311\pi\)
−0.509138 + 0.860685i \(0.670036\pi\)
\(80\) 171.680 + 323.823i 0.239930 + 0.452557i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −19.1701 + 353.572i −0.0258169 + 0.476164i
\(83\) 837.099 503.666i 1.10703 0.666078i 0.159966 0.987123i \(-0.448862\pi\)
0.947064 + 0.321045i \(0.104034\pi\)
\(84\) −14.7576 53.1522i −0.0191689 0.0690402i
\(85\) 109.169 393.191i 0.139306 0.501735i
\(86\) −97.4269 58.6198i −0.122161 0.0735016i
\(87\) 392.056 578.239i 0.483136 0.712572i
\(88\) 405.400 44.0899i 0.491088 0.0534090i
\(89\) 203.471 22.1288i 0.242336 0.0263556i 0.0138550 0.999904i \(-0.495590\pi\)
0.228481 + 0.973548i \(0.426624\pi\)
\(90\) 34.1770 50.4073i 0.0400286 0.0590378i
\(91\) −130.411 78.4656i −0.150228 0.0903893i
\(92\) −359.457 + 1294.65i −0.407347 + 1.46713i
\(93\) 261.443 + 941.631i 0.291509 + 1.04992i
\(94\) 277.132 166.745i 0.304085 0.182962i
\(95\) 5.59143 103.128i 0.00603861 0.111376i
\(96\) −413.716 + 139.397i −0.439841 + 0.148200i
\(97\) 384.501 + 725.245i 0.402476 + 0.759150i 0.999058 0.0434024i \(-0.0138198\pi\)
−0.596582 + 0.802552i \(0.703475\pi\)
\(98\) 187.896 + 221.209i 0.193677 + 0.228015i
\(99\) 156.555 + 230.901i 0.158933 + 0.234409i
\(100\) 24.9152 + 459.534i 0.0249152 + 0.459534i
\(101\) −79.4830 199.487i −0.0783055 0.196532i 0.884612 0.466328i \(-0.154423\pi\)
−0.962918 + 0.269796i \(0.913044\pi\)
\(102\) 122.091 + 56.4854i 0.118518 + 0.0548322i
\(103\) −1441.11 + 317.211i −1.37861 + 0.303454i −0.841589 0.540118i \(-0.818380\pi\)
−0.537016 + 0.843572i \(0.680449\pi\)
\(104\) −370.123 + 698.126i −0.348976 + 0.658239i
\(105\) −9.65098 + 58.8684i −0.00896990 + 0.0547140i
\(106\) −128.544 + 97.7170i −0.117786 + 0.0895388i
\(107\) −753.949 + 348.814i −0.681187 + 0.315151i −0.729794 0.683667i \(-0.760384\pi\)
0.0486067 + 0.998818i \(0.484522\pi\)
\(108\) −142.239 134.736i −0.126731 0.120046i
\(109\) −213.183 1300.36i −0.187332 1.14268i −0.898277 0.439429i \(-0.855181\pi\)
0.710945 0.703248i \(-0.248267\pi\)
\(110\) −198.770 66.9733i −0.172290 0.0580514i
\(111\) 434.061 1089.41i 0.371164 0.931552i
\(112\) 85.9245 81.3920i 0.0724920 0.0686680i
\(113\) 1220.48 + 927.784i 1.01604 + 0.772376i 0.973956 0.226738i \(-0.0728060\pi\)
0.0420878 + 0.999114i \(0.486599\pi\)
\(114\) 33.2515 + 7.31922i 0.0273183 + 0.00601322i
\(115\) 940.664 1107.44i 0.762760 0.897991i
\(116\) 1679.92 + 182.702i 1.34462 + 0.146237i
\(117\) −540.560 −0.427135
\(118\) 250.790 + 299.705i 0.195653 + 0.233814i
\(119\) −131.770 −0.101507
\(120\) 307.896 + 33.4857i 0.234224 + 0.0254734i
\(121\) −239.662 + 282.151i −0.180061 + 0.211985i
\(122\) −391.956 86.2759i −0.290869 0.0640251i
\(123\) −980.692 745.503i −0.718911 0.546502i
\(124\) −1716.09 + 1625.57i −1.24282 + 1.17726i
\(125\) 547.280 1373.57i 0.391602 0.982846i
\(126\) −18.6365 6.27935i −0.0131767 0.00443976i
\(127\) 122.609 + 747.882i 0.0856677 + 0.522550i 0.994444 + 0.105266i \(0.0335695\pi\)
−0.908776 + 0.417283i \(0.862982\pi\)
\(128\) −1000.55 947.776i −0.690917 0.654471i
\(129\) 359.010 166.096i 0.245032 0.113364i
\(130\) 323.556 245.961i 0.218290 0.165940i
\(131\) 356.961 2177.37i 0.238075 1.45219i −0.549251 0.835657i \(-0.685087\pi\)
0.787326 0.616537i \(-0.211465\pi\)
\(132\) −316.071 + 596.173i −0.208412 + 0.393107i
\(133\) −32.5707 + 7.16934i −0.0212348 + 0.00467414i
\(134\) −821.203 379.929i −0.529411 0.244932i
\(135\) 78.4231 + 196.827i 0.0499969 + 0.125483i
\(136\) 37.0375 + 683.117i 0.0233525 + 0.430712i
\(137\) −692.095 1020.76i −0.431604 0.636568i 0.548243 0.836319i \(-0.315297\pi\)
−0.979847 + 0.199751i \(0.935987\pi\)
\(138\) 310.104 + 365.083i 0.191288 + 0.225202i
\(139\) −1403.17 2646.67i −0.856228 1.61502i −0.786615 0.617444i \(-0.788168\pi\)
−0.0696132 0.997574i \(-0.522177\pi\)
\(140\) −136.739 + 46.0726i −0.0825466 + 0.0278132i
\(141\) −60.9174 + 1123.56i −0.0363842 + 0.671067i
\(142\) −455.179 + 273.872i −0.268999 + 0.161851i
\(143\) 498.067 + 1793.88i 0.291262 + 1.04903i
\(144\) 112.458 405.038i 0.0650800 0.234397i
\(145\) −1565.83 942.127i −0.896792 0.539582i
\(146\) 284.220 419.194i 0.161111 0.237621i
\(147\) −1003.82 + 109.172i −0.563221 + 0.0612540i
\(148\) 2819.90 306.683i 1.56618 0.170332i
\(149\) −1388.77 + 2048.28i −0.763574 + 1.12619i 0.224838 + 0.974396i \(0.427815\pi\)
−0.988413 + 0.151791i \(0.951496\pi\)
\(150\) 140.582 + 84.5855i 0.0765233 + 0.0460425i
\(151\) 451.724 1626.96i 0.243449 0.876824i −0.736310 0.676644i \(-0.763434\pi\)
0.979759 0.200180i \(-0.0641526\pi\)
\(152\) 46.3219 + 166.836i 0.0247184 + 0.0890278i
\(153\) −401.018 + 241.284i −0.211898 + 0.127495i
\(154\) −3.66689 + 67.6318i −0.00191874 + 0.0353891i
\(155\) 2422.43 816.211i 1.25532 0.422966i
\(156\) −612.448 1155.20i −0.314327 0.592884i
\(157\) −735.345 865.716i −0.373802 0.440074i 0.542808 0.839857i \(-0.317361\pi\)
−0.916610 + 0.399783i \(0.869085\pi\)
\(158\) 221.799 + 327.129i 0.111680 + 0.164715i
\(159\) −30.4125 560.926i −0.0151690 0.279776i
\(160\) 422.680 + 1060.85i 0.208849 + 0.524171i
\(161\) −425.835 197.012i −0.208450 0.0964394i
\(162\) −68.2148 + 15.0152i −0.0330831 + 0.00728214i
\(163\) 1021.62 1926.98i 0.490917 0.925967i −0.507031 0.861928i \(-0.669257\pi\)
0.997947 0.0640393i \(-0.0203983\pi\)
\(164\) 482.058 2940.42i 0.229527 1.40005i
\(165\) 580.922 441.606i 0.274089 0.208357i
\(166\) 764.572 353.729i 0.357484 0.165390i
\(167\) 197.019 + 186.626i 0.0912922 + 0.0864765i 0.731985 0.681321i \(-0.238594\pi\)
−0.640693 + 0.767797i \(0.721353\pi\)
\(168\) −16.1799 98.6929i −0.00743038 0.0453233i
\(169\) −1336.64 450.365i −0.608392 0.204991i
\(170\) 130.245 326.890i 0.0587607 0.147478i
\(171\) −85.9950 + 81.4588i −0.0384573 + 0.0364287i
\(172\) 761.708 + 579.035i 0.337673 + 0.256692i
\(173\) 2052.84 + 451.864i 0.902165 + 0.198581i 0.641749 0.766915i \(-0.278209\pi\)
0.260416 + 0.965497i \(0.416140\pi\)
\(174\) 390.006 459.151i 0.169921 0.200047i
\(175\) −159.766 17.3756i −0.0690123 0.00750554i
\(176\) −1447.76 −0.620050
\(177\) −1352.64 + 137.021i −0.574411 + 0.0581872i
\(178\) 176.491 0.0743179
\(179\) 2231.85 + 242.729i 0.931936 + 0.101354i 0.561475 0.827494i \(-0.310234\pi\)
0.370461 + 0.928848i \(0.379200\pi\)
\(180\) −331.775 + 390.596i −0.137384 + 0.161741i
\(181\) 621.432 + 136.788i 0.255197 + 0.0561732i 0.340726 0.940163i \(-0.389327\pi\)
−0.0855291 + 0.996336i \(0.527258\pi\)
\(182\) −104.481 79.4243i −0.0425529 0.0323479i
\(183\) 1013.67 960.204i 0.409470 0.387870i
\(184\) −901.651 + 2262.97i −0.361253 + 0.906678i
\(185\) −2906.91 979.451i −1.15524 0.389247i
\(186\) 136.334 + 831.601i 0.0537446 + 0.327828i
\(187\) 1170.21 + 1108.48i 0.457616 + 0.433477i
\(188\) −2470.10 + 1142.79i −0.958249 + 0.443333i
\(189\) 54.4667 41.4045i 0.0209623 0.0159351i
\(190\) 14.4082 87.8864i 0.00550149 0.0335576i
\(191\) 705.784 1331.25i 0.267376 0.504324i −0.713075 0.701087i \(-0.752698\pi\)
0.980451 + 0.196763i \(0.0630431\pi\)
\(192\) 727.093 160.045i 0.273299 0.0601577i
\(193\) 1136.76 + 525.922i 0.423968 + 0.196149i 0.620259 0.784397i \(-0.287028\pi\)
−0.196291 + 0.980546i \(0.562890\pi\)
\(194\) 262.002 + 657.575i 0.0969620 + 0.243356i
\(195\) 76.5506 + 1411.89i 0.0281123 + 0.518501i
\(196\) −1370.62 2021.51i −0.499496 0.736702i
\(197\) −1524.83 1795.17i −0.551471 0.649241i 0.413839 0.910350i \(-0.364188\pi\)
−0.965309 + 0.261109i \(0.915912\pi\)
\(198\) 112.681 + 212.539i 0.0404440 + 0.0762854i
\(199\) −1026.40 + 345.833i −0.365624 + 0.123193i −0.496116 0.868256i \(-0.665241\pi\)
0.130492 + 0.991449i \(0.458344\pi\)
\(200\) −45.1713 + 833.135i −0.0159705 + 0.294558i
\(201\) 2697.30 1622.91i 0.946533 0.569510i
\(202\) −49.5391 178.424i −0.0172552 0.0621477i
\(203\) −157.867 + 568.587i −0.0545819 + 0.196586i
\(204\) −969.982 583.619i −0.332904 0.200302i
\(205\) −1808.30 + 2667.05i −0.616085 + 0.908657i
\(206\) −1264.98 + 137.575i −0.427842 + 0.0465306i
\(207\) −1656.70 + 180.177i −0.556274 + 0.0604984i
\(208\) 1574.30 2321.92i 0.524799 0.774021i
\(209\) 349.560 + 210.323i 0.115692 + 0.0696095i
\(210\) −13.7619 + 49.5659i −0.00452220 + 0.0162875i
\(211\) 644.417 + 2320.98i 0.210254 + 0.757265i 0.991166 + 0.132625i \(0.0423405\pi\)
−0.780913 + 0.624640i \(0.785246\pi\)
\(212\) 1164.27 700.515i 0.377180 0.226941i
\(213\) 100.055 1845.40i 0.0321861 0.593637i
\(214\) −678.854 + 228.733i −0.216848 + 0.0730646i
\(215\) −484.668 914.180i −0.153740 0.289984i
\(216\) −229.957 270.727i −0.0724380 0.0852806i
\(217\) −463.230 683.213i −0.144913 0.213731i
\(218\) −61.5176 1134.63i −0.0191124 0.352507i
\(219\) 652.176 + 1636.84i 0.201233 + 0.505056i
\(220\) 1601.91 + 741.121i 0.490912 + 0.227120i
\(221\) −3050.28 + 671.418i −0.928435 + 0.204364i
\(222\) 473.673 893.443i 0.143202 0.270108i
\(223\) 549.064 3349.14i 0.164879 1.00572i −0.766654 0.642061i \(-0.778080\pi\)
0.931533 0.363657i \(-0.118472\pi\)
\(224\) 293.562 223.160i 0.0875644 0.0665647i
\(225\) −518.034 + 239.668i −0.153492 + 0.0710128i
\(226\) 959.771 + 909.144i 0.282491 + 0.267590i
\(227\) −321.767 1962.69i −0.0940813 0.573871i −0.991231 0.132143i \(-0.957814\pi\)
0.897149 0.441727i \(-0.145634\pi\)
\(228\) −271.512 91.4831i −0.0788655 0.0265729i
\(229\) −1875.06 + 4706.05i −0.541081 + 1.35801i 0.363455 + 0.931612i \(0.381597\pi\)
−0.904535 + 0.426398i \(0.859782\pi\)
\(230\) 909.647 861.663i 0.260784 0.247028i
\(231\) −187.588 142.601i −0.0534303 0.0406167i
\(232\) 2992.02 + 658.594i 0.846706 + 0.186374i
\(233\) −2275.43 + 2678.84i −0.639777 + 0.753204i −0.982506 0.186230i \(-0.940373\pi\)
0.342729 + 0.939434i \(0.388649\pi\)
\(234\) −463.402 50.3980i −0.129460 0.0140796i
\(235\) 2943.25 0.817006
\(236\) −1825.34 2735.40i −0.503474 0.754490i
\(237\) −1375.01 −0.376863
\(238\) −112.962 12.2853i −0.0307656 0.00334596i
\(239\) −3335.69 + 3927.07i −0.902794 + 1.06285i 0.0949346 + 0.995484i \(0.469736\pi\)
−0.997728 + 0.0673673i \(0.978540\pi\)
\(240\) −1073.85 236.372i −0.288819 0.0635739i
\(241\) 4666.15 + 3547.12i 1.24719 + 0.948091i 0.999783 0.0208199i \(-0.00662765\pi\)
0.247409 + 0.968911i \(0.420421\pi\)
\(242\) −231.759 + 219.534i −0.0615621 + 0.0583147i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) 3200.47 + 1078.37i 0.839711 + 0.282931i
\(245\) 427.301 + 2606.42i 0.111425 + 0.679665i
\(246\) −771.206 730.525i −0.199879 0.189336i
\(247\) −717.433 + 331.920i −0.184814 + 0.0855042i
\(248\) −3411.69 + 2593.50i −0.873557 + 0.664061i
\(249\) −474.154 + 2892.21i −0.120676 + 0.736091i
\(250\) 597.225 1126.49i 0.151087 0.284981i
\(251\) 2256.18 496.623i 0.567366 0.124887i 0.0779816 0.996955i \(-0.475152\pi\)
0.489385 + 0.872068i \(0.337221\pi\)
\(252\) 150.193 + 69.4868i 0.0375448 + 0.0173701i
\(253\) 2124.40 + 5331.83i 0.527904 + 1.32494i
\(254\) 35.3810 + 652.563i 0.00874015 + 0.161203i
\(255\) 687.002 + 1013.25i 0.168713 + 0.248832i
\(256\) 515.901 + 607.366i 0.125952 + 0.148283i
\(257\) 2750.56 + 5188.10i 0.667607 + 1.25924i 0.953620 + 0.301014i \(0.0973252\pi\)
−0.286013 + 0.958226i \(0.592330\pi\)
\(258\) 323.252 108.916i 0.0780031 0.0262823i
\(259\) −53.6264 + 989.081i −0.0128656 + 0.237292i
\(260\) −2930.54 + 1763.25i −0.699017 + 0.420585i
\(261\) 560.701 + 2019.46i 0.132975 + 0.478933i
\(262\) 509.012 1833.30i 0.120026 0.432295i
\(263\) 2961.37 + 1781.80i 0.694319 + 0.417758i 0.818504 0.574501i \(-0.194804\pi\)
−0.124185 + 0.992259i \(0.539632\pi\)
\(264\) −686.540 + 1012.57i −0.160051 + 0.236058i
\(265\) −1460.78 + 158.869i −0.338623 + 0.0368274i
\(266\) −28.5901 + 3.10936i −0.00659011 + 0.000716717i
\(267\) −344.576 + 508.211i −0.0789802 + 0.116487i
\(268\) 6524.24 + 3925.51i 1.48706 + 0.894733i
\(269\) 126.729 456.436i 0.0287242 0.103455i −0.947798 0.318870i \(-0.896697\pi\)
0.976523 + 0.215415i \(0.0691104\pi\)
\(270\) 48.8785 + 176.044i 0.0110172 + 0.0396804i
\(271\) 2158.05 1298.45i 0.483735 0.291053i −0.252721 0.967539i \(-0.581326\pi\)
0.736456 + 0.676486i \(0.236498\pi\)
\(272\) 131.493 2425.24i 0.0293122 0.540631i
\(273\) 432.689 145.790i 0.0959250 0.0323209i
\(274\) −498.139 939.590i −0.109831 0.207163i
\(275\) 1272.66 + 1498.29i 0.279071 + 0.328548i
\(276\) −2262.07 3336.30i −0.493335 0.727615i
\(277\) 62.2786 + 1148.66i 0.0135089 + 0.249157i 0.997486 + 0.0708624i \(0.0225751\pi\)
−0.983977 + 0.178294i \(0.942942\pi\)
\(278\) −956.133 2399.71i −0.206277 0.517717i
\(279\) −2660.79 1231.01i −0.570958 0.264153i
\(280\) −255.485 + 56.2366i −0.0545292 + 0.0120028i
\(281\) 948.409 1788.89i 0.201343 0.379773i −0.762194 0.647349i \(-0.775878\pi\)
0.963537 + 0.267576i \(0.0862226\pi\)
\(282\) −156.975 + 957.504i −0.0331479 + 0.202193i
\(283\) 979.715 744.760i 0.205788 0.156436i −0.497204 0.867634i \(-0.665640\pi\)
0.702992 + 0.711198i \(0.251847\pi\)
\(284\) 4057.06 1876.99i 0.847683 0.392180i
\(285\) 224.941 + 213.075i 0.0467521 + 0.0442859i
\(286\) 259.726 + 1584.26i 0.0536991 + 0.327550i
\(287\) 986.054 + 332.240i 0.202805 + 0.0683328i
\(288\) 484.773 1216.69i 0.0991858 0.248938i
\(289\) 1603.64 1519.05i 0.326408 0.309190i
\(290\) −1254.49 953.638i −0.254021 0.193102i
\(291\) −2405.03 529.386i −0.484485 0.106643i
\(292\) −2759.08 + 3248.25i −0.552956 + 0.650990i
\(293\) 3509.46 + 381.677i 0.699743 + 0.0761017i 0.451074 0.892487i \(-0.351041\pi\)
0.248670 + 0.968588i \(0.420007\pi\)
\(294\) −870.714 −0.172725
\(295\) 549.438 + 3513.57i 0.108439 + 0.693450i
\(296\) 5142.63 1.00983
\(297\) −832.007 90.4863i −0.162552 0.0176786i
\(298\) −1381.51 + 1626.44i −0.268553 + 0.316165i
\(299\) −10861.3 2390.76i −2.10076 0.462411i
\(300\) −1099.11 835.519i −0.211523 0.160796i
\(301\) −242.572 + 229.776i −0.0464506 + 0.0440003i
\(302\) 538.933 1352.62i 0.102689 0.257730i
\(303\) 610.494 + 205.699i 0.115749 + 0.0390004i
\(304\) −99.4504 606.620i −0.0187627 0.114448i
\(305\) −2651.51 2511.65i −0.497787 0.471529i
\(306\) −366.273 + 169.456i −0.0684263 + 0.0316574i
\(307\) −5979.97 + 4545.86i −1.11171 + 0.845101i −0.989084 0.147352i \(-0.952925\pi\)
−0.122627 + 0.992453i \(0.539132\pi\)
\(308\) 92.2088 562.449i 0.0170587 0.104054i
\(309\) 2073.56 3911.14i 0.381749 0.720055i
\(310\) 2152.76 473.858i 0.394414 0.0868171i
\(311\) 6672.31 + 3086.94i 1.21657 + 0.562844i 0.919906 0.392139i \(-0.128265\pi\)
0.296661 + 0.954983i \(0.404127\pi\)
\(312\) −877.418 2202.15i −0.159212 0.399591i
\(313\) −457.860 8444.74i −0.0826831 1.52500i −0.686061 0.727544i \(-0.740662\pi\)
0.603378 0.797455i \(-0.293821\pi\)
\(314\) −549.671 810.705i −0.0987890 0.145703i
\(315\) −115.858 136.399i −0.0207234 0.0243974i
\(316\) −1557.87 2938.45i −0.277332 0.523104i
\(317\) −3182.69 + 1072.37i −0.563903 + 0.190001i −0.586793 0.809737i \(-0.699610\pi\)
0.0228898 + 0.999738i \(0.492713\pi\)
\(318\) 26.2253 483.697i 0.00462466 0.0852968i
\(319\) 6185.07 3721.43i 1.08557 0.653167i
\(320\) −520.990 1876.44i −0.0910131 0.327800i
\(321\) 666.731 2401.35i 0.115929 0.417539i
\(322\) −346.685 208.593i −0.0600000 0.0361008i
\(323\) −384.076 + 566.470i −0.0661627 + 0.0975827i
\(324\) 584.323 63.5490i 0.100193 0.0108966i
\(325\) −3786.88 + 411.848i −0.646333 + 0.0702929i
\(326\) 1055.46 1556.68i 0.179314 0.264468i
\(327\) 3387.29 + 2038.06i 0.572836 + 0.344664i
\(328\) 1445.23 5205.25i 0.243291 0.876256i
\(329\) −254.264 915.775i −0.0426079 0.153460i
\(330\) 539.176 324.411i 0.0899414 0.0541159i
\(331\) 270.693 4992.65i 0.0449506 0.829065i −0.885947 0.463786i \(-0.846491\pi\)
0.930898 0.365279i \(-0.119027\pi\)
\(332\) −6717.99 + 2263.55i −1.11053 + 0.374183i
\(333\) 1647.91 + 3108.28i 0.271185 + 0.511510i
\(334\) 151.497 + 178.357i 0.0248191 + 0.0292193i
\(335\) −4620.87 6815.28i −0.753628 1.11152i
\(336\) 19.2227 + 354.541i 0.00312108 + 0.0575649i
\(337\) 1431.62 + 3593.09i 0.231410 + 0.580796i 0.998126 0.0611906i \(-0.0194898\pi\)
−0.766716 + 0.641987i \(0.778110\pi\)
\(338\) −1103.86 510.701i −0.177639 0.0821848i
\(339\) −4491.73 + 988.704i −0.719638 + 0.158404i
\(340\) −1387.00 + 2616.15i −0.221237 + 0.417296i
\(341\) −1633.55 + 9964.21i −0.259418 + 1.58238i
\(342\) −81.3150 + 61.8141i −0.0128568 + 0.00977346i
\(343\) 1562.88 723.067i 0.246028 0.113825i
\(344\) 1259.38 + 1192.95i 0.197387 + 0.186975i
\(345\) 705.217 + 4301.63i 0.110051 + 0.671281i
\(346\) 1717.70 + 578.759i 0.266890 + 0.0899256i
\(347\) 4179.52 10489.8i 0.646595 1.62283i −0.129033 0.991640i \(-0.541187\pi\)
0.775628 0.631191i \(-0.217433\pi\)
\(348\) −3680.41 + 3486.27i −0.566927 + 0.537022i
\(349\) −7459.23 5670.36i −1.14408 0.869705i −0.151160 0.988509i \(-0.548301\pi\)
−0.992918 + 0.118804i \(0.962094\pi\)
\(350\) −135.341 29.7909i −0.0206694 0.00454968i
\(351\) 1049.85 1235.98i 0.159650 0.187954i
\(352\) −4484.31 487.698i −0.679018 0.0738477i
\(353\) 5080.38 0.766009 0.383005 0.923746i \(-0.374889\pi\)
0.383005 + 0.923746i \(0.374889\pi\)
\(354\) −1172.34 8.64756i −0.176015 0.00129834i
\(355\) −4834.18 −0.722737
\(356\) −1476.47 160.576i −0.219811 0.0239059i
\(357\) 255.918 301.290i 0.0379401 0.0446666i
\(358\) 1890.66 + 416.165i 0.279118 + 0.0614385i
\(359\) −2243.73 1705.64i −0.329859 0.250752i 0.427115 0.904197i \(-0.359530\pi\)
−0.756974 + 0.653445i \(0.773323\pi\)
\(360\) −674.548 + 638.965i −0.0987549 + 0.0935457i
\(361\) 2474.66 6210.94i 0.360791 0.905516i
\(362\) 519.978 + 175.201i 0.0754957 + 0.0254375i
\(363\) −179.674 1095.97i −0.0259792 0.158466i
\(364\) 801.790 + 759.496i 0.115454 + 0.109364i
\(365\) 4182.91 1935.22i 0.599846 0.277518i
\(366\) 958.509 728.639i 0.136891 0.104062i
\(367\) 133.534 814.524i 0.0189930 0.115852i −0.975628 0.219429i \(-0.929581\pi\)
0.994621 + 0.103577i \(0.0330288\pi\)
\(368\) 4050.97 7640.94i 0.573835 1.08237i
\(369\) 3609.24 794.454i 0.509186 0.112080i
\(370\) −2400.67 1110.67i −0.337310 0.156056i
\(371\) 175.626 + 440.789i 0.0245770 + 0.0616836i
\(372\) −383.917 7080.94i −0.0535086 0.986907i
\(373\) 723.149 + 1066.57i 0.100384 + 0.148055i 0.874564 0.484910i \(-0.161148\pi\)
−0.774180 + 0.632966i \(0.781837\pi\)
\(374\) 899.830 + 1059.36i 0.124409 + 0.146466i
\(375\) 2077.74 + 3919.04i 0.286118 + 0.539675i
\(376\) −4676.06 + 1575.55i −0.641355 + 0.216098i
\(377\) −757.234 + 13966.4i −0.103447 + 1.90797i
\(378\) 50.5526 30.4165i 0.00687869 0.00413877i
\(379\) 2680.89 + 9655.71i 0.363346 + 1.30866i 0.888981 + 0.457945i \(0.151414\pi\)
−0.525634 + 0.850711i \(0.676172\pi\)
\(380\) −200.496 + 722.120i −0.0270663 + 0.0974841i
\(381\) −1948.15 1172.16i −0.261960 0.157616i
\(382\) 729.159 1075.43i 0.0976624 0.144041i
\(383\) 1664.72 181.049i 0.222097 0.0241545i 0.00360626 0.999993i \(-0.498852\pi\)
0.218491 + 0.975839i \(0.429887\pi\)
\(384\) 4110.31 447.023i 0.546233 0.0594064i
\(385\) −345.895 + 510.157i −0.0457882 + 0.0675325i
\(386\) 925.471 + 556.837i 0.122034 + 0.0734256i
\(387\) −317.479 + 1143.46i −0.0417012 + 0.150194i
\(388\) −1593.54 5739.43i −0.208505 0.750967i
\(389\) 8174.08 4918.18i 1.06540 0.641032i 0.128889 0.991659i \(-0.458859\pi\)
0.936515 + 0.350627i \(0.114031\pi\)
\(390\) −66.0110 + 1217.50i −0.00857076 + 0.158078i
\(391\) −9124.66 + 3074.46i −1.18019 + 0.397652i
\(392\) −2074.11 3912.18i −0.267241 0.504069i
\(393\) 4285.24 + 5044.98i 0.550030 + 0.647546i
\(394\) −1139.81 1681.10i −0.145743 0.214956i
\(395\) 194.720 + 3591.40i 0.0248036 + 0.457475i
\(396\) −749.281 1880.55i −0.0950828 0.238640i
\(397\) −7740.77 3581.26i −0.978585 0.452741i −0.135650 0.990757i \(-0.543312\pi\)
−0.842935 + 0.538015i \(0.819174\pi\)
\(398\) −912.134 + 200.776i −0.114877 + 0.0252864i
\(399\) 46.8648 88.3964i 0.00588014 0.0110911i
\(400\) 479.228 2923.16i 0.0599035 0.365395i
\(401\) −9265.56 + 7043.50i −1.15387 + 0.877146i −0.993934 0.109982i \(-0.964921\pi\)
−0.159932 + 0.987128i \(0.551127\pi\)
\(402\) 2463.61 1139.79i 0.305656 0.141411i
\(403\) −14204.3 13455.1i −1.75575 1.66314i
\(404\) 252.094 + 1537.71i 0.0310449 + 0.189366i
\(405\) −602.353 202.956i −0.0739040 0.0249012i
\(406\) −188.345 + 472.711i −0.0230232 + 0.0577838i
\(407\) 8796.63 8332.61i 1.07133 1.01482i
\(408\) −1633.87 1242.04i −0.198256 0.150711i
\(409\) 5414.03 + 1191.72i 0.654539 + 0.144075i 0.529811 0.848116i \(-0.322263\pi\)
0.124728 + 0.992191i \(0.460194\pi\)
\(410\) −1798.85 + 2117.77i −0.216680 + 0.255096i
\(411\) 3678.12 + 400.020i 0.441432 + 0.0480086i
\(412\) 10707.6 1.28040
\(413\) 1045.76 474.487i 0.124597 0.0565327i
\(414\) −1437.03 −0.170594
\(415\) 7621.34 + 828.870i 0.901486 + 0.0980425i
\(416\) 5658.44 6661.63i 0.666894 0.785128i
\(417\) 8776.76 + 1931.91i 1.03069 + 0.226873i
\(418\) 280.056 + 212.893i 0.0327703 + 0.0249114i
\(419\) −2454.11 + 2324.66i −0.286137 + 0.271043i −0.817282 0.576237i \(-0.804520\pi\)
0.531146 + 0.847281i \(0.321762\pi\)
\(420\) 160.224 402.131i 0.0186146 0.0467190i
\(421\) −14101.3 4751.27i −1.63243 0.550030i −0.653981 0.756511i \(-0.726903\pi\)
−0.978451 + 0.206480i \(0.933799\pi\)
\(422\) 336.043 + 2049.77i 0.0387638 + 0.236449i
\(423\) −2450.68 2321.41i −0.281693 0.266834i
\(424\) 2235.76 1034.37i 0.256080 0.118475i
\(425\) −2625.48 + 1995.84i −0.299658 + 0.227794i
\(426\) 257.825 1572.67i 0.0293232 0.178864i
\(427\) −552.423 + 1041.98i −0.0626080 + 0.118091i
\(428\) 5887.17 1295.86i 0.664877 0.146350i
\(429\) −5069.00 2345.17i −0.570474 0.263930i
\(430\) −330.256 828.880i −0.0370380 0.0929585i
\(431\) 503.944 + 9294.69i 0.0563204 + 1.03877i 0.880984 + 0.473146i \(0.156882\pi\)
−0.824664 + 0.565623i \(0.808636\pi\)
\(432\) 707.702 + 1043.78i 0.0788179 + 0.116248i
\(433\) −4662.59 5489.22i −0.517482 0.609227i 0.439902 0.898046i \(-0.355013\pi\)
−0.957384 + 0.288819i \(0.906737\pi\)
\(434\) −333.412 628.882i −0.0368762 0.0695560i
\(435\) 5195.25 1750.48i 0.572628 0.192941i
\(436\) −517.670 + 9547.87i −0.0568622 + 1.04876i
\(437\) −2088.14 + 1256.39i −0.228580 + 0.137532i
\(438\) 406.479 + 1464.01i 0.0443432 + 0.159710i
\(439\) −683.487 + 2461.70i −0.0743076 + 0.267632i −0.991367 0.131120i \(-0.958143\pi\)
0.917059 + 0.398752i \(0.130556\pi\)
\(440\) 2741.96 + 1649.78i 0.297086 + 0.178751i
\(441\) 1699.95 2507.24i 0.183560 0.270731i
\(442\) −2677.49 + 291.195i −0.288134 + 0.0313365i
\(443\) 6418.21 698.023i 0.688349 0.0748625i 0.242742 0.970091i \(-0.421953\pi\)
0.445607 + 0.895229i \(0.352988\pi\)
\(444\) −4775.47 + 7043.29i −0.510436 + 0.752837i
\(445\) 1376.20 + 828.030i 0.146602 + 0.0882077i
\(446\) 782.943 2819.91i 0.0831243 0.299387i
\(447\) −1986.16 7153.50i −0.210161 0.756933i
\(448\) −538.834 + 324.206i −0.0568248 + 0.0341904i
\(449\) −114.859 + 2118.46i −0.0120725 + 0.222664i 0.986271 + 0.165133i \(0.0528055\pi\)
−0.998344 + 0.0575307i \(0.981677\pi\)
\(450\) −466.437 + 157.161i −0.0488623 + 0.0164636i
\(451\) −5961.96 11245.4i −0.622478 1.17412i
\(452\) −7201.97 8478.82i −0.749452 0.882323i
\(453\) 2842.71 + 4192.68i 0.294839 + 0.434855i
\(454\) −92.8515 1712.55i −0.00959854 0.177035i
\(455\) −442.064 1109.50i −0.0455479 0.114317i
\(456\) −471.434 218.109i −0.0484143 0.0223988i
\(457\) 10471.6 2304.98i 1.07186 0.235935i 0.356221 0.934402i \(-0.384065\pi\)
0.715643 + 0.698467i \(0.246134\pi\)
\(458\) −2046.18 + 3859.50i −0.208759 + 0.393762i
\(459\) 227.147 1385.53i 0.0230987 0.140896i
\(460\) −8393.76 + 6380.77i −0.850785 + 0.646750i
\(461\) 3621.34 1675.41i 0.365863 0.169266i −0.228340 0.973581i \(-0.573330\pi\)
0.594203 + 0.804315i \(0.297468\pi\)
\(462\) −147.517 139.736i −0.0148553 0.0140717i
\(463\) −1488.33 9078.40i −0.149392 0.911250i −0.950043 0.312119i \(-0.898961\pi\)
0.800651 0.599131i \(-0.204487\pi\)
\(464\) −10307.4 3472.96i −1.03127 0.347474i
\(465\) −2838.49 + 7124.06i −0.283079 + 0.710474i
\(466\) −2200.40 + 2084.33i −0.218737 + 0.207199i
\(467\) 6098.37 + 4635.86i 0.604281 + 0.459362i 0.862035 0.506848i \(-0.169190\pi\)
−0.257755 + 0.966210i \(0.582983\pi\)
\(468\) 3830.82 + 843.227i 0.378375 + 0.0832867i
\(469\) −1721.34 + 2026.52i −0.169476 + 0.199523i
\(470\) 2523.14 + 274.408i 0.247625 + 0.0269308i
\(471\) 3407.60 0.333363
\(472\) −2753.76 5288.03i −0.268542 0.515680i
\(473\) 4087.14 0.397309
\(474\) −1178.75 128.196i −0.114223 0.0124225i
\(475\) −540.373 + 636.176i −0.0521979 + 0.0614521i
\(476\) 933.821 + 205.550i 0.0899194 + 0.0197928i
\(477\) 1341.62 + 1019.87i 0.128781 + 0.0978965i
\(478\) −3225.70 + 3055.54i −0.308661 + 0.292379i
\(479\) −3053.28 + 7663.15i −0.291248 + 0.730977i 0.708434 + 0.705777i \(0.249402\pi\)
−0.999682 + 0.0252007i \(0.991978\pi\)
\(480\) −3246.53 1093.88i −0.308714 0.104018i
\(481\) 3798.37 + 23169.0i 0.360064 + 2.19629i
\(482\) 3669.41 + 3475.85i 0.346758 + 0.328466i
\(483\) 1277.51 591.037i 0.120349 0.0556793i
\(484\) 2138.56 1625.69i 0.200841 0.152675i
\(485\) −1042.12 + 6356.67i −0.0975678 + 0.595137i
\(486\) 98.1519 185.134i 0.00916103 0.0172795i
\(487\) 7924.12 1744.23i 0.737323 0.162297i 0.169595 0.985514i \(-0.445754\pi\)
0.567727 + 0.823217i \(0.307823\pi\)
\(488\) 5557.07 + 2570.97i 0.515485 + 0.238489i
\(489\) 2421.86 + 6078.42i 0.223968 + 0.562118i
\(490\) 123.305 + 2274.22i 0.0113681 + 0.209671i
\(491\) −7401.35 10916.2i −0.680281 1.00334i −0.998469 0.0553123i \(-0.982385\pi\)
0.318188 0.948028i \(-0.396926\pi\)
\(492\) 5787.01 + 6812.99i 0.530281 + 0.624295i
\(493\) 5672.26 + 10699.0i 0.518186 + 0.977403i
\(494\) −645.974 + 217.654i −0.0588335 + 0.0198233i
\(495\) −118.518 + 2185.94i −0.0107616 + 0.198486i
\(496\) 13036.9 7844.02i 1.18019 0.710094i
\(497\) 417.619 + 1504.13i 0.0376917 + 0.135753i
\(498\) −676.125 + 2435.18i −0.0608391 + 0.219123i
\(499\) −3484.51 2096.56i −0.312601 0.188086i 0.350603 0.936524i \(-0.385977\pi\)
−0.663205 + 0.748438i \(0.730804\pi\)
\(500\) −6021.09 + 8880.44i −0.538542 + 0.794291i
\(501\) −809.361 + 88.0233i −0.0721748 + 0.00784948i
\(502\) 1980.44 215.386i 0.176079 0.0191497i
\(503\) 5955.29 8783.40i 0.527899 0.778593i −0.466473 0.884535i \(-0.654476\pi\)
0.994372 + 0.105942i \(0.0337859\pi\)
\(504\) 257.084 + 154.682i 0.0227211 + 0.0136708i
\(505\) 450.813 1623.68i 0.0397246 0.143075i
\(506\) 1324.06 + 4768.85i 0.116328 + 0.418975i
\(507\) 3625.72 2181.52i 0.317601 0.191094i
\(508\) 297.731 5491.32i 0.0260033 0.479602i
\(509\) 3839.10 1293.54i 0.334313 0.112643i −0.147139 0.989116i \(-0.547006\pi\)
0.481451 + 0.876473i \(0.340110\pi\)
\(510\) 494.473 + 932.675i 0.0429326 + 0.0809795i
\(511\) −963.490 1134.31i −0.0834096 0.0981973i
\(512\) 6572.98 + 9694.43i 0.567359 + 0.836791i
\(513\) −19.2385 354.832i −0.00165575 0.0305385i
\(514\) 1874.25 + 4704.01i 0.160836 + 0.403667i
\(515\) −10509.2 4862.07i −0.899204 0.416016i
\(516\) −2803.31 + 617.056i −0.239165 + 0.0526441i
\(517\) −5445.68 + 10271.6i −0.463251 + 0.873784i
\(518\) −138.187 + 842.903i −0.0117212 + 0.0714962i
\(519\) −5020.12 + 3816.20i −0.424584 + 0.322760i
\(520\) −5627.56 + 2603.59i −0.474586 + 0.219567i
\(521\) −2386.81 2260.90i −0.200706 0.190119i 0.580745 0.814086i \(-0.302761\pi\)
−0.781451 + 0.623967i \(0.785520\pi\)
\(522\) 292.388 + 1783.49i 0.0245162 + 0.149542i
\(523\) 8680.15 + 2924.68i 0.725729 + 0.244527i 0.657831 0.753166i \(-0.271474\pi\)
0.0678984 + 0.997692i \(0.478371\pi\)
\(524\) −5926.20 + 14873.6i −0.494060 + 1.24000i
\(525\) 350.019 331.556i 0.0290973 0.0275625i
\(526\) 2372.55 + 1803.57i 0.196670 + 0.149504i
\(527\) −16543.4 3641.47i −1.36744 0.300996i
\(528\) 2811.78 3310.28i 0.231755 0.272844i
\(529\) −21988.8 2391.42i −1.80725 0.196550i
\(530\) −1267.09 −0.103847
\(531\) 2313.75 3358.91i 0.189092 0.274509i
\(532\) 242.004 0.0197222
\(533\) 24518.6 + 2666.56i 1.99253 + 0.216701i
\(534\) −342.774 + 403.545i −0.0277777 + 0.0327024i
\(535\) −6366.51 1401.38i −0.514483 0.113246i
\(536\) 10989.6 + 8354.11i 0.885598 + 0.673214i
\(537\) −4889.61 + 4631.68i −0.392928 + 0.372201i
\(538\) 151.195 379.471i 0.0121161 0.0304092i
\(539\) −9886.74 3331.23i −0.790078 0.266208i
\(540\) −248.732 1517.20i −0.0198217 0.120907i
\(541\) −12072.6 11435.8i −0.959415 0.908806i 0.0364787 0.999334i \(-0.488386\pi\)
−0.995894 + 0.0905280i \(0.971145\pi\)
\(542\) 1971.07 911.916i 0.156208 0.0722697i
\(543\) −1519.68 + 1155.23i −0.120103 + 0.0912998i
\(544\) 1224.26 7467.67i 0.0964887 0.588555i
\(545\) 4843.54 9135.89i 0.380687 0.718053i
\(546\) 384.521 84.6394i 0.0301391 0.00663413i
\(547\) 2774.65 + 1283.69i 0.216884 + 0.100341i 0.525323 0.850903i \(-0.323945\pi\)
−0.308439 + 0.951244i \(0.599807\pi\)
\(548\) 3312.41 + 8313.52i 0.258210 + 0.648058i
\(549\) 226.775 + 4182.62i 0.0176294 + 0.325155i
\(550\) 951.317 + 1403.09i 0.0737532 + 0.108778i
\(551\) 1984.17 + 2335.95i 0.153409 + 0.180608i
\(552\) −3423.11 6456.67i −0.263944 0.497852i
\(553\) 1100.62 370.842i 0.0846350 0.0285169i
\(554\) −53.7040 + 990.512i −0.00411853 + 0.0759618i
\(555\) 7885.18 4744.35i 0.603076 0.362859i
\(556\) 5815.39 + 20945.1i 0.443574 + 1.59761i
\(557\) −2524.08 + 9090.93i −0.192009 + 0.691553i 0.803366 + 0.595486i \(0.203040\pi\)
−0.995375 + 0.0960676i \(0.969373\pi\)
\(558\) −2166.23 1303.37i −0.164343 0.0988822i
\(559\) −4444.39 + 6554.98i −0.336275 + 0.495968i
\(560\) 923.307 100.416i 0.0696729 0.00757738i
\(561\) −4807.26 + 522.821i −0.361787 + 0.0393467i
\(562\) 979.819 1445.13i 0.0735430 0.108468i
\(563\) 13135.7 + 7903.49i 0.983310 + 0.591638i 0.913895 0.405950i \(-0.133059\pi\)
0.0694149 + 0.997588i \(0.477887\pi\)
\(564\) 2184.36 7867.34i 0.163082 0.587367i
\(565\) 3218.49 + 11592.0i 0.239651 + 0.863146i
\(566\) 909.310 547.114i 0.0675286 0.0406306i
\(567\) −11.1122 + 204.952i −0.000823045 + 0.0151802i
\(568\) 7680.26 2587.78i 0.567353 0.191164i
\(569\) −7056.15 13309.3i −0.519875 0.980589i −0.994924 0.100629i \(-0.967914\pi\)
0.475049 0.879960i \(-0.342430\pi\)
\(570\) 172.968 + 203.634i 0.0127102 + 0.0149636i
\(571\) 2541.96 + 3749.11i 0.186300 + 0.274773i 0.909357 0.416016i \(-0.136574\pi\)
−0.723057 + 0.690788i \(0.757264\pi\)
\(572\) −731.391 13489.7i −0.0534632 0.986071i
\(573\) 1673.14 + 4199.26i 0.121983 + 0.306155i
\(574\) 814.332 + 376.750i 0.0592153 + 0.0273959i
\(575\) −11468.7 + 2524.45i −0.831787 + 0.183090i
\(576\) −1046.19 + 1973.32i −0.0756792 + 0.142746i
\(577\) 637.398 3887.96i 0.0459883 0.280516i −0.953814 0.300398i \(-0.902881\pi\)
0.999802 + 0.0198816i \(0.00632891\pi\)
\(578\) 1516.37 1152.71i 0.109122 0.0829525i
\(579\) −3410.29 + 1577.77i −0.244778 + 0.113247i
\(580\) 9627.00 + 9119.18i 0.689206 + 0.652851i
\(581\) −400.500 2442.94i −0.0285982 0.174441i
\(582\) −2012.38 678.051i −0.143326 0.0482923i
\(583\) 2148.34 5391.92i 0.152616 0.383037i
\(584\) −5609.62 + 5313.72i −0.397479 + 0.376512i
\(585\) −3376.95 2567.09i −0.238666 0.181429i
\(586\) 2972.95 + 654.395i 0.209576 + 0.0461311i
\(587\) 6400.89 7535.71i 0.450073 0.529867i −0.489597 0.871949i \(-0.662856\pi\)
0.939670 + 0.342082i \(0.111132\pi\)
\(588\) 7284.11 + 792.195i 0.510870 + 0.0555605i
\(589\) −4287.28 −0.299923
\(590\) 143.433 + 3063.28i 0.0100086 + 0.213751i
\(591\) 7066.10 0.491811
\(592\) −18150.6 1974.00i −1.26011 0.137045i
\(593\) −4482.48 + 5277.19i −0.310411 + 0.365444i −0.895140 0.445785i \(-0.852925\pi\)
0.584730 + 0.811228i \(0.301201\pi\)
\(594\) −704.813 155.141i −0.0486849 0.0107164i
\(595\) −823.183 625.768i −0.0567180 0.0431159i
\(596\) 13037.0 12349.3i 0.896002 0.848738i
\(597\) 1202.68 3018.50i 0.0824497 0.206933i
\(598\) −9088.11 3062.14i −0.621472 0.209398i
\(599\) −620.465 3784.67i −0.0423230 0.258159i 0.957187 0.289472i \(-0.0934796\pi\)
−0.999510 + 0.0313125i \(0.990031\pi\)
\(600\) −1817.22 1721.36i −0.123646 0.117124i
\(601\) 9741.14 4506.73i 0.661147 0.305879i −0.0604715 0.998170i \(-0.519260\pi\)
0.721619 + 0.692291i \(0.243398\pi\)
\(602\) −229.371 + 174.363i −0.0155290 + 0.0118048i
\(603\) −1527.82 + 9319.30i −0.103180 + 0.629372i
\(604\) −5739.18 + 10825.2i −0.386629 + 0.729260i
\(605\) −2837.12 + 624.497i −0.190653 + 0.0419659i
\(606\) 504.176 + 233.257i 0.0337966 + 0.0156360i
\(607\) −8747.07 21953.5i −0.584897 1.46798i −0.861883 0.507107i \(-0.830715\pi\)
0.276986 0.960874i \(-0.410664\pi\)
\(608\) −103.690 1912.46i −0.00691644 0.127566i
\(609\) −993.463 1465.25i −0.0661037 0.0974957i
\(610\) −2038.88 2400.35i −0.135331 0.159323i
\(611\) −10552.1 19903.3i −0.698675 1.31784i
\(612\) 3218.30 1084.37i 0.212569 0.0716227i
\(613\) 1430.90 26391.4i 0.0942797 1.73889i −0.443917 0.896068i \(-0.646411\pi\)
0.538196 0.842819i \(-0.319106\pi\)
\(614\) −5550.24 + 3339.47i −0.364803 + 0.219495i
\(615\) −2586.16 9314.49i −0.169567 0.610726i
\(616\) 276.446 995.668i 0.0180817 0.0651244i
\(617\) −85.2743 51.3079i −0.00556405 0.00334777i 0.512769 0.858527i \(-0.328620\pi\)
−0.518333 + 0.855179i \(0.673447\pi\)
\(618\) 2142.23 3159.56i 0.139439 0.205657i
\(619\) 13685.1 1488.35i 0.888614 0.0966426i 0.347587 0.937648i \(-0.387001\pi\)
0.541027 + 0.841005i \(0.318036\pi\)
\(620\) −18440.4 + 2005.51i −1.19449 + 0.129909i
\(621\) 2805.60 4137.96i 0.181296 0.267392i
\(622\) 5432.13 + 3268.40i 0.350174 + 0.210693i
\(623\) 138.749 499.728i 0.00892272 0.0321368i
\(624\) 2251.50 + 8109.16i 0.144442 + 0.520235i
\(625\) 3149.08 1894.74i 0.201541 0.121263i
\(626\) 394.821 7282.05i 0.0252080 0.464935i
\(627\) −1159.80 + 390.783i −0.0738725 + 0.0248906i
\(628\) 3860.77 + 7282.19i 0.245321 + 0.462725i
\(629\) 13159.6 + 15492.6i 0.834191 + 0.982086i
\(630\) −86.6040 127.731i −0.00547680 0.00807768i
\(631\) −641.726 11835.9i −0.0404861 0.746722i −0.946348 0.323149i \(-0.895259\pi\)
0.905862 0.423573i \(-0.139224\pi\)
\(632\) −2231.87 5601.56i −0.140473 0.352560i
\(633\) −6558.45 3034.26i −0.411809 0.190523i
\(634\) −2828.38 + 622.573i −0.177176 + 0.0389993i
\(635\) −2785.69 + 5254.38i −0.174090 + 0.328368i
\(636\) −659.470 + 4022.59i −0.0411159 + 0.250796i
\(637\) 16093.6 12234.0i 1.00102 0.760956i
\(638\) 5649.19 2613.59i 0.350554 0.162184i
\(639\) 4025.16 + 3812.83i 0.249191 + 0.236046i
\(640\) −1749.66 10672.4i −0.108065 0.659165i
\(641\) 7435.36 + 2505.26i 0.458158 + 0.154371i 0.538911 0.842363i \(-0.318836\pi\)
−0.0807532 + 0.996734i \(0.525733\pi\)
\(642\) 795.448 1996.43i 0.0489001 0.122730i
\(643\) 4141.87 3923.38i 0.254027 0.240627i −0.550080 0.835112i \(-0.685403\pi\)
0.804107 + 0.594485i \(0.202644\pi\)
\(644\) 2710.47 + 2060.44i 0.165850 + 0.126076i
\(645\) 3031.56 + 667.297i 0.185066 + 0.0407361i
\(646\) −382.068 + 449.805i −0.0232698 + 0.0273953i
\(647\) 24967.7 + 2715.40i 1.51713 + 0.164998i 0.828448 0.560066i \(-0.189224\pi\)
0.688681 + 0.725064i \(0.258190\pi\)
\(648\) 1065.63 0.0646015
\(649\) −13278.6 4583.41i −0.803128 0.277218i
\(650\) −3284.75 −0.198213
\(651\) 2461.82 + 267.739i 0.148213 + 0.0161191i
\(652\) −10245.9 + 12062.4i −0.615430 + 0.724540i
\(653\) −23251.1 5117.95i −1.39339 0.306709i −0.546048 0.837754i \(-0.683869\pi\)
−0.847344 + 0.531045i \(0.821800\pi\)
\(654\) 2713.78 + 2062.96i 0.162259 + 0.123346i
\(655\) 12570.2 11907.1i 0.749858 0.710303i
\(656\) −7098.89 + 17816.9i −0.422508 + 1.06041i
\(657\) −5009.24 1687.81i −0.297457 0.100225i
\(658\) −132.590 808.766i −0.00785549 0.0479164i
\(659\) −11194.1 10603.6i −0.661701 0.626796i 0.281287 0.959624i \(-0.409239\pi\)
−0.942988 + 0.332828i \(0.891997\pi\)
\(660\) −4805.72 + 2223.36i −0.283428 + 0.131128i
\(661\) −16486.2 + 12532.5i −0.970104 + 0.737454i −0.964923 0.262533i \(-0.915442\pi\)
−0.00518052 + 0.999987i \(0.501649\pi\)
\(662\) 697.535 4254.77i 0.0409524 0.249798i
\(663\) 4388.94 8278.42i 0.257093 0.484928i
\(664\) −12552.0 + 2762.91i −0.733604 + 0.161478i
\(665\) −237.520 109.888i −0.0138506 0.00640795i
\(666\) 1122.90 + 2818.26i 0.0653323 + 0.163972i
\(667\) 2334.44 + 43056.3i 0.135517 + 2.49947i
\(668\) −1105.11 1629.91i −0.0640087 0.0944058i
\(669\) 6591.40 + 7759.99i 0.380924 + 0.448458i
\(670\) −3325.90 6273.31i −0.191777 0.361730i
\(671\) 13671.3 4606.39i 0.786549 0.265019i
\(672\) −59.8917 + 1104.64i −0.00343805 + 0.0634111i
\(673\) 16797.3 10106.6i 0.962092 0.578872i 0.0544049 0.998519i \(-0.482674\pi\)
0.907687 + 0.419647i \(0.137846\pi\)
\(674\) 892.280 + 3213.70i 0.0509931 + 0.183660i
\(675\) 458.107 1649.95i 0.0261223 0.0940839i
\(676\) 8769.89 + 5276.67i 0.498970 + 0.300220i
\(677\) 2966.98 4375.97i 0.168435 0.248423i −0.734098 0.679043i \(-0.762395\pi\)
0.902533 + 0.430620i \(0.141705\pi\)
\(678\) −3942.77 + 428.802i −0.223335 + 0.0242892i
\(679\) 2067.87 224.894i 0.116874 0.0127108i
\(680\) −3012.70 + 4443.41i −0.169900 + 0.250584i
\(681\) 5112.60 + 3076.15i 0.287687 + 0.173096i
\(682\) −2329.37 + 8389.65i −0.130786 + 0.471050i
\(683\) −4606.37 16590.7i −0.258064 0.929464i −0.973101 0.230377i \(-0.926004\pi\)
0.715037 0.699086i \(-0.246410\pi\)
\(684\) 736.495 443.134i 0.0411704 0.0247714i
\(685\) 523.943 9663.56i 0.0292246 0.539016i
\(686\) 1407.22 474.146i 0.0783203 0.0263892i
\(687\) −7118.65 13427.2i −0.395332 0.745676i
\(688\) −3986.99 4693.85i −0.220934 0.260104i
\(689\) 6311.48 + 9308.73i 0.348981 + 0.514709i
\(690\) 203.502 + 3753.38i 0.0112278 + 0.207085i
\(691\) 7933.50 + 19911.6i 0.436765 + 1.09620i 0.968440 + 0.249249i \(0.0801836\pi\)
−0.531675 + 0.846949i \(0.678437\pi\)
\(692\) −13843.1 6404.50i −0.760456 0.351825i
\(693\) 690.381 151.964i 0.0378433 0.00832994i
\(694\) 4560.95 8602.86i 0.249469 0.470548i
\(695\) 3803.06 23197.7i 0.207566 1.26610i
\(696\) −7316.85 + 5562.12i −0.398483 + 0.302919i
\(697\) 19379.5 8965.92i 1.05316 0.487243i
\(698\) −5865.86 5556.43i −0.318089 0.301310i
\(699\) −1705.89 10405.5i −0.0923071 0.563048i
\(700\) 1105.12 + 372.357i 0.0596707 + 0.0201054i
\(701\) −6850.73 + 17194.0i −0.369114 + 0.926405i 0.620702 + 0.784047i \(0.286848\pi\)
−0.989815 + 0.142358i \(0.954531\pi\)
\(702\) 1015.24 961.682i 0.0545835 0.0517042i
\(703\) 4095.68 + 3113.46i 0.219732 + 0.167036i
\(704\) 7512.52 + 1653.63i 0.402186 + 0.0885278i
\(705\) −5716.26 + 6729.70i −0.305371 + 0.359511i
\(706\) 4355.22 + 473.659i 0.232168 + 0.0252498i
\(707\) −544.145 −0.0289458
\(708\) 9799.57 + 1138.97i 0.520184 + 0.0604590i
\(709\) −13979.4 −0.740490 −0.370245 0.928934i \(-0.620726\pi\)
−0.370245 + 0.928934i \(0.620726\pi\)
\(710\) −4144.17 450.705i −0.219053 0.0238235i
\(711\) 2670.49 3143.94i 0.140859 0.165833i
\(712\) −2629.67 578.835i −0.138415 0.0304673i
\(713\) −48018.0 36502.3i −2.52214 1.91728i
\(714\) 247.479 234.425i 0.0129715 0.0122873i
\(715\) −5407.52 + 13571.9i −0.282839 + 0.709872i
\(716\) −15438.0 5201.66i −0.805788 0.271501i
\(717\) −2500.77 15254.0i −0.130255 0.794521i
\(718\) −1764.44 1671.37i −0.0917109 0.0868731i
\(719\) −24851.1 + 11497.3i −1.28900 + 0.596354i −0.940129 0.340818i \(-0.889296\pi\)
−0.348868 + 0.937172i \(0.613434\pi\)
\(720\) 2626.04 1996.27i 0.135926 0.103328i
\(721\) −604.928 + 3689.90i −0.0312465 + 0.190595i
\(722\) 2700.50 5093.69i 0.139200 0.262559i
\(723\) −17172.8 + 3780.03i −0.883354 + 0.194441i
\(724\) −4190.56 1938.76i −0.215112 0.0995214i
\(725\) 5466.58 + 13720.1i 0.280033 + 0.702830i
\(726\) −51.8482 956.283i −0.00265050 0.0488857i
\(727\) 12140.2 + 17905.4i 0.619333 + 0.913447i 0.999936 0.0112910i \(-0.00359410\pi\)
−0.380604 + 0.924738i \(0.624284\pi\)
\(728\) 1296.25 + 1526.06i 0.0659920 + 0.0776918i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 3766.29 1269.01i 0.190954 0.0643399i
\(731\) −371.215 + 6846.65i −0.0187823 + 0.346419i
\(732\) −8681.50 + 5223.48i −0.438357 + 0.263751i
\(733\) −7072.86 25474.1i −0.356401 1.28364i −0.896877 0.442281i \(-0.854169\pi\)
0.540476 0.841360i \(-0.318244\pi\)
\(734\) 190.415 685.811i 0.00957538 0.0344874i
\(735\) −6789.42 4085.06i −0.340723 0.205006i
\(736\) 15121.5 22302.5i 0.757317 1.11696i
\(737\) 32334.3 3516.57i 1.61608 0.175759i
\(738\) 3168.14 344.556i 0.158023 0.0171860i
\(739\) 5363.69 7910.85i 0.266991 0.393782i −0.670434 0.741969i \(-0.733892\pi\)
0.937425 + 0.348187i \(0.113202\pi\)
\(740\) 19072.7 + 11475.7i 0.947467 + 0.570072i
\(741\) 634.438 2285.04i 0.0314530 0.113283i
\(742\) 109.462 + 394.246i 0.00541573 + 0.0195057i
\(743\) −10509.8 + 6323.53i −0.518932 + 0.312231i −0.750815 0.660512i \(-0.770339\pi\)
0.231883 + 0.972744i \(0.425511\pi\)
\(744\) 696.043 12837.8i 0.0342986 0.632601i
\(745\) −18403.0 + 6200.69i −0.905012 + 0.304934i
\(746\) 520.490 + 981.749i 0.0255449 + 0.0481828i
\(747\) −5692.12 6701.28i −0.278800 0.328229i
\(748\) −6563.85 9680.95i −0.320853 0.473223i
\(749\) 113.965 + 2101.97i 0.00555968 + 0.102542i
\(750\) 1415.79 + 3553.36i 0.0689297 + 0.173001i
\(751\) 23762.0 + 10993.5i 1.15458 + 0.534165i 0.901286 0.433225i \(-0.142625\pi\)
0.253292 + 0.967390i \(0.418487\pi\)
\(752\) 17108.7 3765.90i 0.829639 0.182617i
\(753\) −3246.34 + 6123.25i −0.157109 + 0.296339i
\(754\) −1951.27 + 11902.2i −0.0942456 + 0.574873i
\(755\) 10548.3 8018.63i 0.508467 0.386527i
\(756\) −450.580 + 208.461i −0.0216765 + 0.0100286i
\(757\) 18019.2 + 17068.7i 0.865149 + 0.819512i 0.984870 0.173295i \(-0.0554415\pi\)
−0.119721 + 0.992808i \(0.538200\pi\)
\(758\) 1398.00 + 8527.43i 0.0669891 + 0.408615i
\(759\) −16317.1 5497.86i −0.780333 0.262925i
\(760\) −502.918 + 1262.23i −0.0240036 + 0.0602445i
\(761\) 3732.13 3535.26i 0.177779 0.168401i −0.593636 0.804734i \(-0.702308\pi\)
0.771415 + 0.636333i \(0.219549\pi\)
\(762\) −1560.79 1186.48i −0.0742015 0.0564065i
\(763\) −3261.01 717.802i −0.154727 0.0340579i
\(764\) −7078.35 + 8333.28i −0.335191 + 0.394617i
\(765\) −3651.05 397.076i −0.172554 0.0187664i
\(766\) 1443.98 0.0681113
\(767\) 21790.1 16312.2i 1.02581 0.767928i
\(768\) −2390.70 −0.112327
\(769\) 12232.1 + 1330.32i 0.573602 + 0.0623829i 0.390323 0.920678i \(-0.372363\pi\)
0.183279 + 0.983061i \(0.441329\pi\)
\(770\) −344.087 + 405.090i −0.0161039 + 0.0189590i
\(771\) −17204.5