Properties

Label 75.4.g.b.16.5
Level $75$
Weight $4$
Character 75.16
Analytic conductor $4.425$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 75 = 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 75.g (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.42514325043\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 16.5
Character \(\chi\) \(=\) 75.16
Dual form 75.4.g.b.61.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.772797 + 0.561470i) q^{2} +(0.927051 + 2.85317i) q^{3} +(-2.19017 - 6.74065i) q^{4} +(11.0970 - 1.36218i) q^{5} +(-0.885547 + 2.72543i) q^{6} +12.4836 q^{7} +(4.45357 - 13.7067i) q^{8} +(-7.28115 + 5.29007i) q^{9} +O(q^{10})\) \(q+(0.772797 + 0.561470i) q^{2} +(0.927051 + 2.85317i) q^{3} +(-2.19017 - 6.74065i) q^{4} +(11.0970 - 1.36218i) q^{5} +(-0.885547 + 2.72543i) q^{6} +12.4836 q^{7} +(4.45357 - 13.7067i) q^{8} +(-7.28115 + 5.29007i) q^{9} +(9.34059 + 5.17797i) q^{10} +(36.1845 + 26.2896i) q^{11} +(17.2018 - 12.4978i) q^{12} +(5.77338 - 4.19460i) q^{13} +(9.64726 + 7.00914i) q^{14} +(14.1741 + 30.3989i) q^{15} +(-34.7339 + 25.2356i) q^{16} +(8.19254 - 25.2140i) q^{17} -8.59707 q^{18} +(-14.3353 + 44.1196i) q^{19} +(-33.4864 - 71.8179i) q^{20} +(11.5729 + 35.6177i) q^{21} +(13.2025 + 40.6331i) q^{22} +(-117.674 - 85.4955i) q^{23} +43.2362 q^{24} +(121.289 - 30.2324i) q^{25} +6.81679 q^{26} +(-21.8435 - 15.8702i) q^{27} +(-27.3411 - 84.1473i) q^{28} +(-65.9299 - 202.911i) q^{29} +(-6.11442 + 31.4505i) q^{30} +(-45.7598 + 140.834i) q^{31} -156.308 q^{32} +(-41.4638 + 127.612i) q^{33} +(20.4881 - 14.8855i) q^{34} +(138.531 - 17.0049i) q^{35} +(51.6054 + 37.4935i) q^{36} +(-325.478 + 236.473i) q^{37} +(-35.8502 + 26.0467i) q^{38} +(17.3201 + 12.5838i) q^{39} +(30.7505 - 158.170i) q^{40} +(-189.031 + 137.339i) q^{41} +(-11.0548 + 34.0231i) q^{42} +87.5080 q^{43} +(97.9587 - 301.486i) q^{44} +(-73.5933 + 68.6224i) q^{45} +(-42.9353 - 132.141i) q^{46} +(-23.4804 - 72.2653i) q^{47} +(-104.202 - 75.7069i) q^{48} -187.161 q^{49} +(110.706 + 44.7366i) q^{50} +79.5348 q^{51} +(-40.9190 - 29.7294i) q^{52} +(51.6149 + 158.854i) q^{53} +(-7.96992 - 24.5289i) q^{54} +(437.353 + 242.447i) q^{55} +(55.5964 - 171.108i) q^{56} -139.170 q^{57} +(62.9782 - 193.827i) q^{58} +(481.431 - 349.780i) q^{59} +(173.865 - 162.121i) q^{60} +(700.442 + 508.901i) q^{61} +(-114.437 + 83.1435i) q^{62} +(-90.8947 + 66.0389i) q^{63} +(157.077 + 114.123i) q^{64} +(58.3536 - 54.4121i) q^{65} +(-103.694 + 75.3379i) q^{66} +(-125.554 + 386.416i) q^{67} -187.902 q^{68} +(134.843 - 415.004i) q^{69} +(116.604 + 64.6395i) q^{70} +(162.592 + 500.406i) q^{71} +(40.0822 + 123.360i) q^{72} +(-810.387 - 588.781i) q^{73} -384.301 q^{74} +(198.699 + 318.031i) q^{75} +328.792 q^{76} +(451.712 + 328.188i) q^{77} +(6.31951 + 19.4495i) q^{78} +(-41.3945 - 127.399i) q^{79} +(-351.068 + 327.355i) q^{80} +(25.0304 - 77.0356i) q^{81} -223.195 q^{82} +(159.651 - 491.355i) q^{83} +(214.740 - 156.018i) q^{84} +(56.5668 - 290.961i) q^{85} +(67.6259 + 49.1331i) q^{86} +(517.820 - 376.218i) q^{87} +(521.494 - 378.888i) q^{88} +(494.065 + 358.959i) q^{89} +(-95.4021 + 11.7108i) q^{90} +(72.0723 - 52.3636i) q^{91} +(-318.568 + 980.452i) q^{92} -444.246 q^{93} +(22.4292 - 69.0300i) q^{94} +(-98.9809 + 509.125i) q^{95} +(-144.905 - 445.973i) q^{96} +(-506.654 - 1559.32i) q^{97} +(-144.637 - 105.085i) q^{98} -402.539 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 21 q^{3} - 30 q^{4} - 15 q^{5} - 54 q^{7} - 63 q^{8} - 63 q^{9} + 165 q^{10} + 19 q^{11} - 60 q^{12} + 4 q^{13} - 24 q^{14} + 45 q^{15} - 66 q^{16} + 208 q^{17} + 42 q^{19} + 295 q^{20} + 3 q^{21} - 89 q^{22} + 32 q^{23} + 126 q^{24} + 95 q^{25} + 206 q^{26} - 189 q^{27} - 482 q^{28} - 716 q^{29} - 645 q^{30} + 637 q^{31} - 844 q^{32} + 42 q^{33} - 90 q^{34} + 430 q^{35} - 180 q^{36} + 216 q^{37} + 2314 q^{38} + 12 q^{39} - 500 q^{40} - 38 q^{41} + 933 q^{42} - 1392 q^{43} + 603 q^{44} + 270 q^{45} + 1622 q^{46} - 536 q^{47} - 198 q^{48} + 162 q^{49} - 2265 q^{50} - 876 q^{51} - 1922 q^{52} + 1672 q^{53} - 1000 q^{55} + 3000 q^{56} - 1104 q^{57} - 827 q^{58} + 973 q^{59} + 1365 q^{60} - 2712 q^{61} + 1057 q^{62} + 234 q^{63} + 4439 q^{64} - 4360 q^{65} + 1098 q^{66} + 2768 q^{67} - 1370 q^{68} + 396 q^{69} + 3230 q^{70} - 1074 q^{71} - 567 q^{72} - 1018 q^{73} - 1414 q^{74} + 765 q^{75} - 11408 q^{76} + 1607 q^{77} + 168 q^{78} - 1820 q^{79} - 1290 q^{80} - 567 q^{81} + 1772 q^{82} + 4045 q^{83} + 774 q^{84} + 1850 q^{85} - 3986 q^{86} + 1392 q^{87} + 2407 q^{88} + 4542 q^{89} - 180 q^{90} + 4412 q^{91} - 1089 q^{92} - 5334 q^{93} + 5137 q^{94} - 720 q^{95} + 1623 q^{96} - 5977 q^{97} - 10689 q^{98} - 594 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.772797 + 0.561470i 0.273225 + 0.198510i 0.715957 0.698144i \(-0.245991\pi\)
−0.442732 + 0.896654i \(0.645991\pi\)
\(3\) 0.927051 + 2.85317i 0.178411 + 0.549093i
\(4\) −2.19017 6.74065i −0.273771 0.842581i
\(5\) 11.0970 1.36218i 0.992550 0.121837i
\(6\) −0.885547 + 2.72543i −0.0602538 + 0.185442i
\(7\) 12.4836 0.674049 0.337024 0.941496i \(-0.390580\pi\)
0.337024 + 0.941496i \(0.390580\pi\)
\(8\) 4.45357 13.7067i 0.196822 0.605756i
\(9\) −7.28115 + 5.29007i −0.269672 + 0.195928i
\(10\) 9.34059 + 5.17797i 0.295375 + 0.163742i
\(11\) 36.1845 + 26.2896i 0.991823 + 0.720601i 0.960319 0.278902i \(-0.0899705\pi\)
0.0315032 + 0.999504i \(0.489971\pi\)
\(12\) 17.2018 12.4978i 0.413811 0.300651i
\(13\) 5.77338 4.19460i 0.123173 0.0894903i −0.524493 0.851415i \(-0.675745\pi\)
0.647666 + 0.761924i \(0.275745\pi\)
\(14\) 9.64726 + 7.00914i 0.184167 + 0.133805i
\(15\) 14.1741 + 30.3989i 0.243982 + 0.523265i
\(16\) −34.7339 + 25.2356i −0.542717 + 0.394307i
\(17\) 8.19254 25.2140i 0.116881 0.359724i −0.875453 0.483302i \(-0.839437\pi\)
0.992335 + 0.123579i \(0.0394371\pi\)
\(18\) −8.59707 −0.112575
\(19\) −14.3353 + 44.1196i −0.173092 + 0.532723i −0.999541 0.0302886i \(-0.990357\pi\)
0.826449 + 0.563012i \(0.190357\pi\)
\(20\) −33.4864 71.8179i −0.374389 0.802948i
\(21\) 11.5729 + 35.6177i 0.120258 + 0.370115i
\(22\) 13.2025 + 40.6331i 0.127945 + 0.393773i
\(23\) −117.674 85.4955i −1.06682 0.775089i −0.0914808 0.995807i \(-0.529160\pi\)
−0.975338 + 0.220718i \(0.929160\pi\)
\(24\) 43.2362 0.367731
\(25\) 121.289 30.2324i 0.970311 0.241859i
\(26\) 6.81679 0.0514186
\(27\) −21.8435 15.8702i −0.155695 0.113119i
\(28\) −27.3411 84.1473i −0.184535 0.567941i
\(29\) −65.9299 202.911i −0.422168 1.29930i −0.905680 0.423962i \(-0.860639\pi\)
0.483512 0.875338i \(-0.339361\pi\)
\(30\) −6.11442 + 31.4505i −0.0372112 + 0.191402i
\(31\) −45.7598 + 140.834i −0.265120 + 0.815954i 0.726546 + 0.687118i \(0.241124\pi\)
−0.991666 + 0.128837i \(0.958876\pi\)
\(32\) −156.308 −0.863487
\(33\) −41.4638 + 127.612i −0.218725 + 0.673166i
\(34\) 20.4881 14.8855i 0.103344 0.0750835i
\(35\) 138.531 17.0049i 0.669027 0.0821243i
\(36\) 51.6054 + 37.4935i 0.238914 + 0.173581i
\(37\) −325.478 + 236.473i −1.44617 + 1.05070i −0.459459 + 0.888199i \(0.651957\pi\)
−0.986708 + 0.162503i \(0.948043\pi\)
\(38\) −35.8502 + 26.0467i −0.153044 + 0.111193i
\(39\) 17.3201 + 12.5838i 0.0711138 + 0.0516672i
\(40\) 30.7505 158.170i 0.121552 0.625223i
\(41\) −189.031 + 137.339i −0.720043 + 0.523142i −0.886398 0.462924i \(-0.846800\pi\)
0.166355 + 0.986066i \(0.446800\pi\)
\(42\) −11.0548 + 34.0231i −0.0406140 + 0.124997i
\(43\) 87.5080 0.310345 0.155173 0.987887i \(-0.450407\pi\)
0.155173 + 0.987887i \(0.450407\pi\)
\(44\) 97.9587 301.486i 0.335633 1.03297i
\(45\) −73.5933 + 68.6224i −0.243792 + 0.227325i
\(46\) −42.9353 132.141i −0.137619 0.423548i
\(47\) −23.4804 72.2653i −0.0728717 0.224276i 0.907986 0.418999i \(-0.137619\pi\)
−0.980858 + 0.194723i \(0.937619\pi\)
\(48\) −104.202 75.7069i −0.313338 0.227653i
\(49\) −187.161 −0.545658
\(50\) 110.706 + 44.7366i 0.313125 + 0.126534i
\(51\) 79.5348 0.218375
\(52\) −40.9190 29.7294i −0.109124 0.0792832i
\(53\) 51.6149 + 158.854i 0.133771 + 0.411704i 0.995397 0.0958396i \(-0.0305536\pi\)
−0.861626 + 0.507544i \(0.830554\pi\)
\(54\) −7.96992 24.5289i −0.0200846 0.0618141i
\(55\) 437.353 + 242.447i 1.07223 + 0.594392i
\(56\) 55.5964 171.108i 0.132668 0.408309i
\(57\) −139.170 −0.323396
\(58\) 62.9782 193.827i 0.142577 0.438806i
\(59\) 481.431 349.780i 1.06232 0.771822i 0.0878053 0.996138i \(-0.472015\pi\)
0.974517 + 0.224316i \(0.0720147\pi\)
\(60\) 173.865 162.121i 0.374098 0.348829i
\(61\) 700.442 + 508.901i 1.47020 + 1.06817i 0.980555 + 0.196246i \(0.0628752\pi\)
0.489649 + 0.871920i \(0.337125\pi\)
\(62\) −114.437 + 83.1435i −0.234412 + 0.170310i
\(63\) −90.8947 + 66.0389i −0.181772 + 0.132065i
\(64\) 157.077 + 114.123i 0.306791 + 0.222896i
\(65\) 58.3536 54.4121i 0.111352 0.103831i
\(66\) −103.694 + 75.3379i −0.193391 + 0.140507i
\(67\) −125.554 + 386.416i −0.228939 + 0.704601i 0.768929 + 0.639334i \(0.220790\pi\)
−0.997868 + 0.0652671i \(0.979210\pi\)
\(68\) −187.902 −0.335095
\(69\) 134.843 415.004i 0.235264 0.724067i
\(70\) 116.604 + 64.6395i 0.199097 + 0.110370i
\(71\) 162.592 + 500.406i 0.271776 + 0.836441i 0.990054 + 0.140685i \(0.0449305\pi\)
−0.718278 + 0.695756i \(0.755070\pi\)
\(72\) 40.0822 + 123.360i 0.0656073 + 0.201919i
\(73\) −810.387 588.781i −1.29930 0.943994i −0.299347 0.954144i \(-0.596769\pi\)
−0.999948 + 0.0101504i \(0.996769\pi\)
\(74\) −384.301 −0.603704
\(75\) 198.699 + 318.031i 0.305917 + 0.489641i
\(76\) 328.792 0.496250
\(77\) 451.712 + 328.188i 0.668537 + 0.485720i
\(78\) 6.31951 + 19.4495i 0.00917364 + 0.0282336i
\(79\) −41.3945 127.399i −0.0589525 0.181437i 0.917244 0.398327i \(-0.130409\pi\)
−0.976196 + 0.216889i \(0.930409\pi\)
\(80\) −351.068 + 327.355i −0.490632 + 0.457493i
\(81\) 25.0304 77.0356i 0.0343352 0.105673i
\(82\) −223.195 −0.300582
\(83\) 159.651 491.355i 0.211132 0.649798i −0.788273 0.615325i \(-0.789025\pi\)
0.999406 0.0344730i \(-0.0109753\pi\)
\(84\) 214.740 156.018i 0.278929 0.202654i
\(85\) 56.5668 290.961i 0.0721828 0.371284i
\(86\) 67.6259 + 49.1331i 0.0847941 + 0.0616065i
\(87\) 517.820 376.218i 0.638117 0.463619i
\(88\) 521.494 378.888i 0.631721 0.458972i
\(89\) 494.065 + 358.959i 0.588436 + 0.427524i 0.841755 0.539859i \(-0.181522\pi\)
−0.253320 + 0.967383i \(0.581522\pi\)
\(90\) −95.4021 + 11.7108i −0.111736 + 0.0137158i
\(91\) 72.0723 52.3636i 0.0830245 0.0603208i
\(92\) −318.568 + 980.452i −0.361011 + 1.11108i
\(93\) −444.246 −0.495335
\(94\) 22.4292 69.0300i 0.0246106 0.0757436i
\(95\) −98.9809 + 509.125i −0.106897 + 0.549843i
\(96\) −144.905 445.973i −0.154056 0.474134i
\(97\) −506.654 1559.32i −0.530339 1.63222i −0.753510 0.657437i \(-0.771641\pi\)
0.223171 0.974779i \(-0.428359\pi\)
\(98\) −144.637 105.085i −0.149088 0.108318i
\(99\) −402.539 −0.408653
\(100\) −469.429 751.352i −0.469429 0.751352i
\(101\) −433.248 −0.426830 −0.213415 0.976962i \(-0.568459\pi\)
−0.213415 + 0.976962i \(0.568459\pi\)
\(102\) 61.4643 + 44.6564i 0.0596654 + 0.0433495i
\(103\) 25.1306 + 77.3441i 0.0240407 + 0.0739897i 0.962357 0.271788i \(-0.0876150\pi\)
−0.938316 + 0.345778i \(0.887615\pi\)
\(104\) −31.7820 97.8148i −0.0299661 0.0922263i
\(105\) 176.943 + 379.487i 0.164456 + 0.352706i
\(106\) −49.3041 + 151.742i −0.0451777 + 0.139043i
\(107\) 391.773 0.353964 0.176982 0.984214i \(-0.443367\pi\)
0.176982 + 0.984214i \(0.443367\pi\)
\(108\) −59.1346 + 181.997i −0.0526873 + 0.162155i
\(109\) −1469.11 + 1067.37i −1.29097 + 0.937943i −0.999824 0.0187366i \(-0.994036\pi\)
−0.291143 + 0.956679i \(0.594036\pi\)
\(110\) 201.858 + 432.923i 0.174968 + 0.375251i
\(111\) −976.433 709.420i −0.834945 0.606623i
\(112\) −433.603 + 315.031i −0.365818 + 0.265782i
\(113\) −879.567 + 639.043i −0.732236 + 0.532001i −0.890270 0.455433i \(-0.849485\pi\)
0.158034 + 0.987434i \(0.449485\pi\)
\(114\) −107.550 78.1400i −0.0883599 0.0641972i
\(115\) −1422.30 788.454i −1.15331 0.639336i
\(116\) −1223.36 + 888.820i −0.979188 + 0.711422i
\(117\) −19.8471 + 61.0831i −0.0156826 + 0.0482661i
\(118\) 568.440 0.443467
\(119\) 102.272 314.761i 0.0787837 0.242471i
\(120\) 479.794 58.8956i 0.364992 0.0448034i
\(121\) 206.876 + 636.699i 0.155429 + 0.478361i
\(122\) 255.567 + 786.555i 0.189655 + 0.583699i
\(123\) −567.094 412.018i −0.415717 0.302036i
\(124\) 1049.54 0.760089
\(125\) 1304.77 500.708i 0.933615 0.358278i
\(126\) −107.322 −0.0758810
\(127\) −705.031 512.235i −0.492609 0.357902i 0.313578 0.949563i \(-0.398472\pi\)
−0.806187 + 0.591661i \(0.798472\pi\)
\(128\) 443.726 + 1365.65i 0.306408 + 0.943027i
\(129\) 81.1244 + 249.675i 0.0553690 + 0.170408i
\(130\) 75.6463 9.28572i 0.0510355 0.00626470i
\(131\) 527.849 1624.55i 0.352049 1.08349i −0.605652 0.795729i \(-0.707088\pi\)
0.957701 0.287765i \(-0.0929122\pi\)
\(132\) 951.003 0.627077
\(133\) −178.956 + 550.770i −0.116673 + 0.359081i
\(134\) −313.989 + 228.127i −0.202422 + 0.147068i
\(135\) −264.016 146.358i −0.168318 0.0933071i
\(136\) −309.115 224.585i −0.194900 0.141603i
\(137\) 1943.14 1411.78i 1.21178 0.880409i 0.216389 0.976307i \(-0.430572\pi\)
0.995391 + 0.0958978i \(0.0305722\pi\)
\(138\) 337.219 245.004i 0.208014 0.151131i
\(139\) 1749.05 + 1270.76i 1.06728 + 0.775427i 0.975422 0.220345i \(-0.0707184\pi\)
0.0918613 + 0.995772i \(0.470718\pi\)
\(140\) −418.029 896.542i −0.252357 0.541226i
\(141\) 184.418 133.987i 0.110147 0.0800267i
\(142\) −155.313 + 478.003i −0.0917855 + 0.282487i
\(143\) 319.181 0.186652
\(144\) 119.404 367.489i 0.0690998 0.212667i
\(145\) −1008.03 2161.91i −0.577326 1.23818i
\(146\) −295.682 910.016i −0.167608 0.515846i
\(147\) −173.508 534.001i −0.0973515 0.299617i
\(148\) 2306.83 + 1676.01i 1.28122 + 0.930861i
\(149\) −1527.70 −0.839959 −0.419980 0.907534i \(-0.637963\pi\)
−0.419980 + 0.907534i \(0.637963\pi\)
\(150\) −25.0106 + 357.337i −0.0136140 + 0.194510i
\(151\) 2584.71 1.39299 0.696493 0.717564i \(-0.254743\pi\)
0.696493 + 0.717564i \(0.254743\pi\)
\(152\) 540.891 + 392.980i 0.288632 + 0.209703i
\(153\) 73.7329 + 226.926i 0.0389604 + 0.119908i
\(154\) 164.814 + 507.245i 0.0862409 + 0.265422i
\(155\) −315.957 + 1625.18i −0.163731 + 0.842177i
\(156\) 46.8890 144.310i 0.0240649 0.0740642i
\(157\) −692.965 −0.352259 −0.176129 0.984367i \(-0.556358\pi\)
−0.176129 + 0.984367i \(0.556358\pi\)
\(158\) 39.5413 121.696i 0.0199097 0.0612759i
\(159\) −405.389 + 294.532i −0.202198 + 0.146905i
\(160\) −1734.56 + 212.920i −0.857054 + 0.105205i
\(161\) −1469.00 1067.29i −0.719088 0.522448i
\(162\) 62.5966 45.4791i 0.0303583 0.0220566i
\(163\) 2929.06 2128.09i 1.40750 1.02261i 0.413817 0.910360i \(-0.364195\pi\)
0.993680 0.112246i \(-0.0358046\pi\)
\(164\) 1339.77 + 973.398i 0.637916 + 0.463473i
\(165\) −286.294 + 1472.60i −0.135079 + 0.694800i
\(166\) 399.259 290.079i 0.186678 0.135629i
\(167\) 480.709 1479.47i 0.222745 0.685538i −0.775768 0.631018i \(-0.782637\pi\)
0.998513 0.0545197i \(-0.0173628\pi\)
\(168\) 539.742 0.247869
\(169\) −663.173 + 2041.04i −0.301854 + 0.929011i
\(170\) 207.081 193.093i 0.0934257 0.0871152i
\(171\) −129.018 397.077i −0.0576974 0.177574i
\(172\) −191.657 589.861i −0.0849636 0.261491i
\(173\) 1760.35 + 1278.97i 0.773622 + 0.562070i 0.903058 0.429518i \(-0.141317\pi\)
−0.129436 + 0.991588i \(0.541317\pi\)
\(174\) 611.405 0.266382
\(175\) 1514.12 377.408i 0.654037 0.163025i
\(176\) −1920.27 −0.822417
\(177\) 1444.29 + 1049.34i 0.613332 + 0.445612i
\(178\) 180.267 + 554.805i 0.0759079 + 0.233620i
\(179\) −576.453 1774.14i −0.240705 0.740813i −0.996313 0.0857896i \(-0.972659\pi\)
0.755609 0.655023i \(-0.227341\pi\)
\(180\) 623.741 + 345.772i 0.258283 + 0.143179i
\(181\) −79.6740 + 245.211i −0.0327189 + 0.100698i −0.966082 0.258234i \(-0.916859\pi\)
0.933363 + 0.358933i \(0.116859\pi\)
\(182\) 85.0978 0.0346586
\(183\) −802.635 + 2470.26i −0.324221 + 0.997851i
\(184\) −1695.93 + 1232.17i −0.679488 + 0.493677i
\(185\) −3289.72 + 3067.52i −1.30738 + 1.21907i
\(186\) −343.312 249.431i −0.135338 0.0983287i
\(187\) 959.311 696.980i 0.375143 0.272557i
\(188\) −435.689 + 316.546i −0.169021 + 0.122801i
\(189\) −272.684 198.117i −0.104946 0.0762479i
\(190\) −362.351 + 337.876i −0.138356 + 0.129011i
\(191\) 3204.41 2328.14i 1.21394 0.881982i 0.218361 0.975868i \(-0.429929\pi\)
0.995583 + 0.0938864i \(0.0299291\pi\)
\(192\) −179.994 + 553.965i −0.0676560 + 0.208224i
\(193\) 1253.72 0.467590 0.233795 0.972286i \(-0.424886\pi\)
0.233795 + 0.972286i \(0.424886\pi\)
\(194\) 483.971 1489.51i 0.179109 0.551240i
\(195\) 209.344 + 116.050i 0.0768790 + 0.0426180i
\(196\) 409.914 + 1261.58i 0.149385 + 0.459761i
\(197\) −1563.58 4812.19i −0.565483 1.74038i −0.666511 0.745495i \(-0.732213\pi\)
0.101027 0.994884i \(-0.467787\pi\)
\(198\) −311.081 226.014i −0.111654 0.0811217i
\(199\) −5323.91 −1.89649 −0.948246 0.317536i \(-0.897145\pi\)
−0.948246 + 0.317536i \(0.897145\pi\)
\(200\) 125.783 1797.11i 0.0444709 0.635375i
\(201\) −1218.91 −0.427737
\(202\) −334.813 243.256i −0.116621 0.0847299i
\(203\) −823.040 2533.06i −0.284562 0.875791i
\(204\) −174.195 536.116i −0.0597847 0.183998i
\(205\) −1910.61 + 1781.56i −0.650940 + 0.606972i
\(206\) −24.0055 + 73.8814i −0.00811915 + 0.0249882i
\(207\) 1309.08 0.439553
\(208\) −94.6783 + 291.390i −0.0315613 + 0.0971358i
\(209\) −1678.61 + 1219.58i −0.555558 + 0.403636i
\(210\) −76.3297 + 392.615i −0.0250821 + 0.129014i
\(211\) 832.974 + 605.191i 0.271774 + 0.197455i 0.715321 0.698796i \(-0.246280\pi\)
−0.443548 + 0.896251i \(0.646280\pi\)
\(212\) 957.736 695.836i 0.310271 0.225425i
\(213\) −1277.01 + 927.804i −0.410796 + 0.298461i
\(214\) 302.761 + 219.969i 0.0967118 + 0.0702653i
\(215\) 971.080 119.202i 0.308033 0.0378116i
\(216\) −314.809 + 228.722i −0.0991670 + 0.0720490i
\(217\) −571.245 + 1758.11i −0.178703 + 0.549993i
\(218\) −1734.62 −0.538915
\(219\) 928.621 2858.00i 0.286531 0.881853i
\(220\) 676.373 3479.04i 0.207278 1.06617i
\(221\) −58.4643 179.935i −0.0177952 0.0547679i
\(222\) −356.267 1096.48i −0.107707 0.331489i
\(223\) −1007.29 731.839i −0.302480 0.219765i 0.426183 0.904637i \(-0.359858\pi\)
−0.728663 + 0.684872i \(0.759858\pi\)
\(224\) −1951.28 −0.582032
\(225\) −723.192 + 861.753i −0.214279 + 0.255334i
\(226\) −1038.53 −0.305673
\(227\) 3720.10 + 2702.81i 1.08772 + 0.790272i 0.979012 0.203803i \(-0.0653301\pi\)
0.108704 + 0.994074i \(0.465330\pi\)
\(228\) 304.807 + 938.098i 0.0885365 + 0.272487i
\(229\) 1963.73 + 6043.74i 0.566668 + 1.74402i 0.662944 + 0.748669i \(0.269307\pi\)
−0.0962760 + 0.995355i \(0.530693\pi\)
\(230\) −656.456 1407.89i −0.188198 0.403625i
\(231\) −517.616 + 1593.06i −0.147431 + 0.453747i
\(232\) −3074.87 −0.870150
\(233\) 196.524 604.840i 0.0552564 0.170062i −0.919620 0.392810i \(-0.871503\pi\)
0.974876 + 0.222749i \(0.0715029\pi\)
\(234\) −49.6341 + 36.0613i −0.0138662 + 0.0100744i
\(235\) −359.002 769.947i −0.0996541 0.213727i
\(236\) −3412.16 2479.08i −0.941156 0.683790i
\(237\) 325.117 236.211i 0.0891081 0.0647408i
\(238\) 255.764 185.824i 0.0696586 0.0506099i
\(239\) 5224.68 + 3795.95i 1.41404 + 1.02736i 0.992719 + 0.120454i \(0.0384350\pi\)
0.421326 + 0.906909i \(0.361565\pi\)
\(240\) −1259.46 698.182i −0.338740 0.187781i
\(241\) −412.394 + 299.622i −0.110227 + 0.0800844i −0.641533 0.767095i \(-0.721701\pi\)
0.531306 + 0.847180i \(0.321701\pi\)
\(242\) −197.614 + 608.194i −0.0524922 + 0.161554i
\(243\) 243.000 0.0641500
\(244\) 1896.24 5836.01i 0.497517 1.53120i
\(245\) −2076.93 + 254.947i −0.541593 + 0.0664816i
\(246\) −206.913 636.813i −0.0536272 0.165048i
\(247\) 102.301 + 314.850i 0.0263533 + 0.0811070i
\(248\) 1726.58 + 1254.43i 0.442088 + 0.321195i
\(249\) 1549.92 0.394468
\(250\) 1289.45 + 345.641i 0.326209 + 0.0874411i
\(251\) 2645.82 0.665349 0.332674 0.943042i \(-0.392049\pi\)
0.332674 + 0.943042i \(0.392049\pi\)
\(252\) 644.219 + 468.053i 0.161040 + 0.117002i
\(253\) −2010.35 6187.23i −0.499565 1.53750i
\(254\) −257.241 791.707i −0.0635463 0.195575i
\(255\) 882.602 108.341i 0.216748 0.0266062i
\(256\) 56.1236 172.731i 0.0137020 0.0421706i
\(257\) −3975.12 −0.964829 −0.482415 0.875943i \(-0.660240\pi\)
−0.482415 + 0.875943i \(0.660240\pi\)
\(258\) −77.4924 + 238.497i −0.0186995 + 0.0575511i
\(259\) −4063.12 + 2952.03i −0.974787 + 0.708224i
\(260\) −494.577 274.169i −0.117971 0.0653972i
\(261\) 1553.46 + 1128.66i 0.368417 + 0.267671i
\(262\) 1320.06 959.078i 0.311273 0.226153i
\(263\) −3899.67 + 2833.27i −0.914311 + 0.664285i −0.942101 0.335328i \(-0.891153\pi\)
0.0277908 + 0.999614i \(0.491153\pi\)
\(264\) 1564.48 + 1136.66i 0.364724 + 0.264988i
\(265\) 789.162 + 1692.50i 0.182935 + 0.392339i
\(266\) −447.538 + 325.155i −0.103159 + 0.0749494i
\(267\) −566.148 + 1742.42i −0.129767 + 0.399381i
\(268\) 2879.68 0.656360
\(269\) 1296.72 3990.91i 0.293913 0.904572i −0.689671 0.724123i \(-0.742245\pi\)
0.983584 0.180449i \(-0.0577552\pi\)
\(270\) −121.855 261.342i −0.0274662 0.0589065i
\(271\) −630.388 1940.13i −0.141304 0.434888i 0.855213 0.518276i \(-0.173426\pi\)
−0.996517 + 0.0833877i \(0.973426\pi\)
\(272\) 351.734 + 1082.53i 0.0784081 + 0.241315i
\(273\) 216.217 + 157.091i 0.0479342 + 0.0348262i
\(274\) 2294.32 0.505858
\(275\) 5183.58 + 2094.69i 1.13666 + 0.459326i
\(276\) −3092.72 −0.674493
\(277\) 3732.32 + 2711.69i 0.809578 + 0.588193i 0.913708 0.406371i \(-0.133206\pi\)
−0.104130 + 0.994564i \(0.533206\pi\)
\(278\) 638.167 + 1964.08i 0.137679 + 0.423732i
\(279\) −411.838 1267.51i −0.0883732 0.271985i
\(280\) 383.876 1974.53i 0.0819320 0.421431i
\(281\) −776.295 + 2389.19i −0.164804 + 0.507214i −0.999022 0.0442208i \(-0.985919\pi\)
0.834218 + 0.551435i \(0.185919\pi\)
\(282\) 217.747 0.0459811
\(283\) 328.149 1009.94i 0.0689274 0.212137i −0.910660 0.413158i \(-0.864426\pi\)
0.979587 + 0.201021i \(0.0644259\pi\)
\(284\) 3016.96 2191.95i 0.630365 0.457987i
\(285\) −1544.38 + 189.576i −0.320987 + 0.0394017i
\(286\) 246.663 + 179.211i 0.0509981 + 0.0370523i
\(287\) −2359.79 + 1714.48i −0.485344 + 0.352623i
\(288\) 1138.10 826.879i 0.232859 0.169182i
\(289\) 3406.07 + 2474.65i 0.693277 + 0.503695i
\(290\) 434.844 2236.70i 0.0880515 0.452908i
\(291\) 3979.31 2891.14i 0.801620 0.582411i
\(292\) −2193.88 + 6752.06i −0.439681 + 1.35320i
\(293\) −7941.52 −1.58344 −0.791721 0.610883i \(-0.790814\pi\)
−0.791721 + 0.610883i \(0.790814\pi\)
\(294\) 165.740 510.094i 0.0328780 0.101188i
\(295\) 4866.00 4537.32i 0.960371 0.895503i
\(296\) 1791.73 + 5514.37i 0.351831 + 1.08283i
\(297\) −373.174 1148.51i −0.0729083 0.224389i
\(298\) −1180.60 857.757i −0.229498 0.166740i
\(299\) −1038.00 −0.200766
\(300\) 1708.55 2035.90i 0.328810 0.391810i
\(301\) 1092.41 0.209188
\(302\) 1997.46 + 1451.24i 0.380599 + 0.276521i
\(303\) −401.643 1236.13i −0.0761512 0.234369i
\(304\) −615.465 1894.21i −0.116116 0.357369i
\(305\) 8466.06 + 4693.17i 1.58939 + 0.881082i
\(306\) −70.4318 + 216.767i −0.0131579 + 0.0404959i
\(307\) −5405.88 −1.00498 −0.502492 0.864582i \(-0.667583\pi\)
−0.502492 + 0.864582i \(0.667583\pi\)
\(308\) 1222.87 3763.62i 0.226233 0.696273i
\(309\) −197.379 + 143.404i −0.0363381 + 0.0264012i
\(310\) −1156.66 + 1078.53i −0.211916 + 0.197602i
\(311\) 3742.38 + 2719.00i 0.682350 + 0.495756i 0.874136 0.485681i \(-0.161428\pi\)
−0.191787 + 0.981437i \(0.561428\pi\)
\(312\) 249.619 181.359i 0.0452945 0.0329084i
\(313\) 852.150 619.123i 0.153886 0.111805i −0.508178 0.861252i \(-0.669681\pi\)
0.662064 + 0.749447i \(0.269681\pi\)
\(314\) −535.522 389.079i −0.0962460 0.0699268i
\(315\) −918.706 + 856.652i −0.164328 + 0.153228i
\(316\) −768.093 + 558.052i −0.136736 + 0.0993446i
\(317\) 837.437 2577.37i 0.148376 0.456654i −0.849054 0.528306i \(-0.822827\pi\)
0.997430 + 0.0716525i \(0.0228272\pi\)
\(318\) −478.654 −0.0844075
\(319\) 2948.82 9075.53i 0.517561 1.59289i
\(320\) 1898.55 + 1052.46i 0.331662 + 0.183857i
\(321\) 363.194 + 1117.80i 0.0631511 + 0.194359i
\(322\) −535.986 1649.59i −0.0927619 0.285492i
\(323\) 994.991 + 722.904i 0.171402 + 0.124531i
\(324\) −574.090 −0.0984380
\(325\) 573.433 683.302i 0.0978719 0.116624i
\(326\) 3458.43 0.587561
\(327\) −4407.34 3202.12i −0.745341 0.541522i
\(328\) 1040.60 + 3202.65i 0.175176 + 0.539136i
\(329\) −293.119 902.128i −0.0491191 0.151173i
\(330\) −1048.07 + 977.278i −0.174831 + 0.163022i
\(331\) −1355.87 + 4172.95i −0.225153 + 0.692948i 0.773124 + 0.634255i \(0.218693\pi\)
−0.998276 + 0.0586928i \(0.981307\pi\)
\(332\) −3661.72 −0.605309
\(333\) 1118.89 3443.60i 0.184129 0.566691i
\(334\) 1202.17 873.427i 0.196945 0.143089i
\(335\) −866.912 + 4459.11i −0.141386 + 0.727245i
\(336\) −1300.81 945.092i −0.211205 0.153449i
\(337\) 3133.04 2276.28i 0.506431 0.367944i −0.305037 0.952341i \(-0.598669\pi\)
0.811468 + 0.584397i \(0.198669\pi\)
\(338\) −1658.48 + 1204.96i −0.266892 + 0.193908i
\(339\) −2638.70 1917.13i −0.422757 0.307151i
\(340\) −2085.16 + 255.957i −0.332599 + 0.0408271i
\(341\) −5358.28 + 3893.01i −0.850929 + 0.618236i
\(342\) 123.242 379.300i 0.0194858 0.0599713i
\(343\) −6618.29 −1.04185
\(344\) 389.723 1199.44i 0.0610828 0.187993i
\(345\) 931.047 4789.00i 0.145292 0.747336i
\(346\) 642.289 + 1976.76i 0.0997968 + 0.307143i
\(347\) 1787.02 + 5499.89i 0.276462 + 0.850864i 0.988829 + 0.149056i \(0.0476234\pi\)
−0.712366 + 0.701808i \(0.752377\pi\)
\(348\) −3670.07 2666.46i −0.565334 0.410739i
\(349\) −2916.63 −0.447345 −0.223673 0.974664i \(-0.571805\pi\)
−0.223673 + 0.974664i \(0.571805\pi\)
\(350\) 1382.01 + 558.471i 0.211061 + 0.0852902i
\(351\) −192.680 −0.0293005
\(352\) −5655.93 4109.27i −0.856426 0.622230i
\(353\) −1077.72 3316.87i −0.162496 0.500111i 0.836347 0.548200i \(-0.184687\pi\)
−0.998843 + 0.0480894i \(0.984687\pi\)
\(354\) 526.973 + 1621.85i 0.0791194 + 0.243505i
\(355\) 2485.93 + 5331.55i 0.371661 + 0.797097i
\(356\) 1337.53 4116.50i 0.199127 0.612848i
\(357\) 992.878 0.147195
\(358\) 550.646 1694.71i 0.0812920 0.250191i
\(359\) −8580.85 + 6234.36i −1.26150 + 0.916537i −0.998831 0.0483479i \(-0.984604\pi\)
−0.262674 + 0.964885i \(0.584604\pi\)
\(360\) 612.833 + 1314.33i 0.0897198 + 0.192421i
\(361\) 3808.01 + 2766.68i 0.555184 + 0.403365i
\(362\) −199.251 + 144.764i −0.0289292 + 0.0210183i
\(363\) −1624.82 + 1180.50i −0.234934 + 0.170690i
\(364\) −510.815 371.129i −0.0735549 0.0534407i
\(365\) −9794.93 5429.83i −1.40463 0.778658i
\(366\) −2007.25 + 1458.35i −0.286668 + 0.208277i
\(367\) −829.748 + 2553.70i −0.118018 + 0.363221i −0.992564 0.121720i \(-0.961159\pi\)
0.874547 + 0.484941i \(0.161159\pi\)
\(368\) 6244.83 0.884604
\(369\) 649.832 1999.98i 0.0916773 0.282154i
\(370\) −4264.61 + 523.488i −0.599206 + 0.0735537i
\(371\) 644.338 + 1983.07i 0.0901680 + 0.277509i
\(372\) 972.973 + 2994.50i 0.135608 + 0.417360i
\(373\) 556.991 + 404.678i 0.0773187 + 0.0561754i 0.625773 0.780005i \(-0.284784\pi\)
−0.548454 + 0.836180i \(0.684784\pi\)
\(374\) 1132.69 0.156604
\(375\) 2638.19 + 3258.54i 0.363295 + 0.448721i
\(376\) −1095.09 −0.150199
\(377\) −1231.77 894.934i −0.168274 0.122258i
\(378\) −99.4930 306.208i −0.0135380 0.0416657i
\(379\) −3780.96 11636.6i −0.512440 1.57713i −0.787892 0.615814i \(-0.788827\pi\)
0.275452 0.961315i \(-0.411173\pi\)
\(380\) 3648.62 447.875i 0.492553 0.0604618i
\(381\) 807.893 2486.44i 0.108634 0.334342i
\(382\) 3783.54 0.506762
\(383\) 587.804 1809.08i 0.0784214 0.241356i −0.904158 0.427197i \(-0.859501\pi\)
0.982580 + 0.185841i \(0.0595010\pi\)
\(384\) −3485.07 + 2532.05i −0.463143 + 0.336493i
\(385\) 5459.72 + 3026.60i 0.722735 + 0.400649i
\(386\) 968.872 + 703.927i 0.127757 + 0.0928211i
\(387\) −637.159 + 462.923i −0.0836915 + 0.0608054i
\(388\) −9401.17 + 6830.35i −1.23008 + 0.893707i
\(389\) −152.083 110.495i −0.0198224 0.0144019i 0.577830 0.816157i \(-0.303900\pi\)
−0.597652 + 0.801755i \(0.703900\pi\)
\(390\) 96.6217 + 207.223i 0.0125452 + 0.0269055i
\(391\) −3119.74 + 2266.62i −0.403509 + 0.293167i
\(392\) −833.534 + 2565.35i −0.107398 + 0.330536i
\(393\) 5124.47 0.657748
\(394\) 1493.58 4596.75i 0.190978 0.587769i
\(395\) −632.898 1357.37i −0.0806192 0.172903i
\(396\) 881.628 + 2713.37i 0.111878 + 0.344324i
\(397\) −2332.28 7178.01i −0.294845 0.907441i −0.983273 0.182136i \(-0.941699\pi\)
0.688428 0.725305i \(-0.258301\pi\)
\(398\) −4114.30 2989.22i −0.518169 0.376472i
\(399\) −1737.34 −0.217985
\(400\) −3449.90 + 4110.89i −0.431238 + 0.513862i
\(401\) 5396.95 0.672097 0.336049 0.941845i \(-0.390909\pi\)
0.336049 + 0.941845i \(0.390909\pi\)
\(402\) −941.968 684.380i −0.116868 0.0849099i
\(403\) 326.555 + 1005.03i 0.0403644 + 0.124229i
\(404\) 948.887 + 2920.37i 0.116854 + 0.359639i
\(405\) 172.827 888.963i 0.0212045 0.109069i
\(406\) 786.192 2419.65i 0.0961036 0.295776i
\(407\) −17994.1 −2.19148
\(408\) 354.214 1090.16i 0.0429809 0.132282i
\(409\) 3309.21 2404.29i 0.400074 0.290671i −0.369497 0.929232i \(-0.620470\pi\)
0.769571 + 0.638561i \(0.220470\pi\)
\(410\) −2476.81 + 304.032i −0.298343 + 0.0366222i
\(411\) 5829.43 + 4235.33i 0.699621 + 0.508305i
\(412\) 466.309 338.793i 0.0557607 0.0405125i
\(413\) 6009.97 4366.50i 0.716057 0.520246i
\(414\) 1011.66 + 735.011i 0.120097 + 0.0872556i
\(415\) 1102.34 5670.07i 0.130390 0.670681i
\(416\) −902.424 + 655.649i −0.106358 + 0.0772737i
\(417\) −2004.23 + 6168.39i −0.235366 + 0.724382i
\(418\) −1981.98 −0.231918
\(419\) 878.165 2702.71i 0.102389 0.315122i −0.886719 0.462308i \(-0.847021\pi\)
0.989109 + 0.147186i \(0.0470215\pi\)
\(420\) 2170.45 2023.85i 0.252160 0.235128i
\(421\) −5111.07 15730.3i −0.591683 1.82101i −0.570591 0.821234i \(-0.693286\pi\)
−0.0210917 0.999778i \(-0.506714\pi\)
\(422\) 303.923 + 935.379i 0.0350586 + 0.107899i
\(423\) 553.253 + 401.962i 0.0635936 + 0.0462034i
\(424\) 2407.24 0.275721
\(425\) 231.383 3305.86i 0.0264087 0.377313i
\(426\) −1507.81 −0.171487
\(427\) 8744.01 + 6352.90i 0.990989 + 0.719996i
\(428\) −858.049 2640.80i −0.0969051 0.298243i
\(429\) 295.897 + 910.679i 0.0333008 + 0.102489i
\(430\) 817.377 + 453.114i 0.0916684 + 0.0508165i
\(431\) −711.200 + 2188.85i −0.0794833 + 0.244625i −0.982900 0.184139i \(-0.941050\pi\)
0.903417 + 0.428763i \(0.141050\pi\)
\(432\) 1159.20 0.129102
\(433\) −2335.09 + 7186.68i −0.259163 + 0.797621i 0.733818 + 0.679346i \(0.237736\pi\)
−0.992981 + 0.118275i \(0.962264\pi\)
\(434\) −1428.58 + 1037.93i −0.158005 + 0.114797i
\(435\) 5233.80 4880.28i 0.576877 0.537911i
\(436\) 10412.4 + 7565.04i 1.14372 + 0.830963i
\(437\) 5458.93 3966.15i 0.597566 0.434157i
\(438\) 2322.32 1687.26i 0.253344 0.184065i
\(439\) 6737.51 + 4895.09i 0.732492 + 0.532186i 0.890351 0.455275i \(-0.150459\pi\)
−0.157859 + 0.987462i \(0.550459\pi\)
\(440\) 5270.93 4914.90i 0.571095 0.532520i
\(441\) 1362.75 990.093i 0.147149 0.106910i
\(442\) 55.8468 171.879i 0.00600987 0.0184965i
\(443\) 11675.9 1.25223 0.626114 0.779731i \(-0.284644\pi\)
0.626114 + 0.779731i \(0.284644\pi\)
\(444\) −2643.40 + 8135.54i −0.282545 + 0.869585i
\(445\) 5971.63 + 3310.38i 0.636140 + 0.352645i
\(446\) −367.525 1131.13i −0.0390198 0.120091i
\(447\) −1416.25 4358.78i −0.149858 0.461216i
\(448\) 1960.88 + 1424.66i 0.206792 + 0.150243i
\(449\) −1034.94 −0.108779 −0.0543893 0.998520i \(-0.517321\pi\)
−0.0543893 + 0.998520i \(0.517321\pi\)
\(450\) −1042.73 + 259.910i −0.109233 + 0.0272273i
\(451\) −10450.6 −1.09113
\(452\) 6233.96 + 4529.24i 0.648719 + 0.471322i
\(453\) 2396.16 + 7374.62i 0.248524 + 0.764878i
\(454\) 1357.33 + 4177.44i 0.140315 + 0.431844i
\(455\) 728.461 679.257i 0.0750566 0.0699869i
\(456\) −619.805 + 1907.57i −0.0636514 + 0.195899i
\(457\) 15279.9 1.56403 0.782016 0.623259i \(-0.214192\pi\)
0.782016 + 0.623259i \(0.214192\pi\)
\(458\) −1875.81 + 5773.16i −0.191378 + 0.589000i
\(459\) −579.105 + 420.745i −0.0588896 + 0.0427858i
\(460\) −2199.61 + 11314.1i −0.222951 + 1.14679i
\(461\) −12778.7 9284.26i −1.29103 0.937985i −0.291200 0.956662i \(-0.594054\pi\)
−0.999826 + 0.0186773i \(0.994054\pi\)
\(462\) −1294.47 + 940.485i −0.130355 + 0.0947084i
\(463\) −1434.54 + 1042.25i −0.143993 + 0.104617i −0.657449 0.753499i \(-0.728365\pi\)
0.513457 + 0.858115i \(0.328365\pi\)
\(464\) 7410.60 + 5384.12i 0.741441 + 0.538688i
\(465\) −4929.81 + 605.144i −0.491644 + 0.0603503i
\(466\) 491.473 357.076i 0.0488563 0.0354962i
\(467\) 4033.05 12412.4i 0.399630 1.22993i −0.525667 0.850691i \(-0.676184\pi\)
0.925297 0.379244i \(-0.123816\pi\)
\(468\) 455.208 0.0449615
\(469\) −1567.36 + 4823.85i −0.154316 + 0.474936i
\(470\) 154.866 796.582i 0.0151988 0.0781778i
\(471\) −642.414 1977.15i −0.0628469 0.193423i
\(472\) −2650.24 8156.60i −0.258447 0.795419i
\(473\) 3166.44 + 2300.55i 0.307807 + 0.223635i
\(474\) 383.875 0.0371982
\(475\) −404.874 + 5784.61i −0.0391092 + 0.558771i
\(476\) −2345.69 −0.225870
\(477\) −1216.17 883.596i −0.116739 0.0848157i
\(478\) 1906.31 + 5867.01i 0.182411 + 0.561403i
\(479\) −195.645 602.132i −0.0186623 0.0574366i 0.941292 0.337594i \(-0.109613\pi\)
−0.959954 + 0.280158i \(0.909613\pi\)
\(480\) −2215.52 4751.59i −0.210675 0.451832i
\(481\) −887.193 + 2730.50i −0.0841008 + 0.258836i
\(482\) −486.926 −0.0460142
\(483\) 1683.32 5180.73i 0.158579 0.488056i
\(484\) 3838.67 2788.96i 0.360506 0.261923i
\(485\) −7746.44 16613.7i −0.725253 1.55544i
\(486\) 187.790 + 136.437i 0.0175274 + 0.0127344i
\(487\) 5207.88 3783.74i 0.484582 0.352069i −0.318515 0.947918i \(-0.603184\pi\)
0.803097 + 0.595848i \(0.203184\pi\)
\(488\) 10094.8 7334.32i 0.936416 0.680346i
\(489\) 8787.19 + 6384.27i 0.812619 + 0.590402i
\(490\) −1748.19 969.113i −0.161174 0.0893470i
\(491\) −2519.61 + 1830.61i −0.231586 + 0.168257i −0.697526 0.716559i \(-0.745716\pi\)
0.465941 + 0.884816i \(0.345716\pi\)
\(492\) −1535.24 + 4724.97i −0.140678 + 0.432964i
\(493\) −5656.35 −0.516733
\(494\) −97.7210 + 300.754i −0.00890015 + 0.0273919i
\(495\) −4466.99 + 548.332i −0.405609 + 0.0497893i
\(496\) −1964.63 6046.50i −0.177852 0.547371i
\(497\) 2029.72 + 6246.85i 0.183190 + 0.563802i
\(498\) 1197.78 + 870.236i 0.107778 + 0.0783057i
\(499\) −7664.80 −0.687623 −0.343811 0.939039i \(-0.611718\pi\)
−0.343811 + 0.939039i \(0.611718\pi\)
\(500\) −6232.76 7698.34i −0.557475 0.688560i
\(501\) 4666.82 0.416164
\(502\) 2044.68 + 1485.55i 0.181790 + 0.132078i
\(503\) 2558.22 + 7873.40i 0.226770 + 0.697927i 0.998107 + 0.0615000i \(0.0195884\pi\)
−0.771337 + 0.636427i \(0.780412\pi\)
\(504\) 500.368 + 1539.97i 0.0442225 + 0.136103i
\(505\) −4807.78 + 590.164i −0.423650 + 0.0520038i
\(506\) 1920.35 5910.23i 0.168715 0.519252i
\(507\) −6438.22 −0.563967
\(508\) −1908.66 + 5874.25i −0.166699 + 0.513046i
\(509\) 5753.10 4179.87i 0.500985 0.363987i −0.308408 0.951254i \(-0.599796\pi\)
0.809393 + 0.587267i \(0.199796\pi\)
\(510\) 742.903 + 411.829i 0.0645025 + 0.0357570i
\(511\) −10116.5 7350.08i −0.875789 0.636298i
\(512\) 9433.88 6854.11i 0.814302 0.591625i
\(513\) 1013.32 736.221i 0.0872109 0.0633624i
\(514\) −3071.96 2231.91i −0.263616 0.191528i
\(515\) 384.233 + 824.059i 0.0328763 + 0.0705095i
\(516\) 1505.30 1093.66i 0.128424 0.0933057i
\(517\) 1050.20 3232.18i 0.0893378 0.274954i
\(518\) −4797.44 −0.406926
\(519\) −2017.18 + 6208.23i −0.170606 + 0.525070i
\(520\) −485.928 1042.16i −0.0409795 0.0878882i
\(521\) −251.088 772.770i −0.0211140 0.0649821i 0.939944 0.341328i \(-0.110877\pi\)
−0.961058 + 0.276346i \(0.910877\pi\)
\(522\) 566.804 + 1744.44i 0.0475255 + 0.146269i
\(523\) −5215.02 3788.93i −0.436017 0.316785i 0.348033 0.937482i \(-0.386850\pi\)
−0.784050 + 0.620697i \(0.786850\pi\)
\(524\) −12106.6 −1.00931
\(525\) 2480.47 + 3970.16i 0.206203 + 0.330042i
\(526\) −4604.45 −0.381680
\(527\) 3176.11 + 2307.58i 0.262531 + 0.190740i
\(528\) −1780.18 5478.84i −0.146728 0.451583i
\(529\) 2777.99 + 8549.77i 0.228322 + 0.702702i
\(530\) −340.429 + 1751.05i −0.0279005 + 0.143511i
\(531\) −1655.01 + 5093.61i −0.135257 + 0.416278i
\(532\) 4104.49 0.334497
\(533\) −515.265 + 1585.82i −0.0418736 + 0.128874i
\(534\) −1415.84 + 1028.67i −0.114736 + 0.0833609i
\(535\) 4347.53 533.667i 0.351327 0.0431260i
\(536\) 4737.33 + 3441.87i 0.381756 + 0.277362i
\(537\) 4527.52 3289.44i 0.363831 0.264338i
\(538\) 3242.88 2356.09i 0.259871 0.188807i
\(539\) −6772.33 4920.38i −0.541196 0.393202i
\(540\) −408.305 + 2100.19i −0.0325382 + 0.167366i
\(541\) 3683.00 2675.86i 0.292689 0.212651i −0.431744 0.901996i \(-0.642102\pi\)
0.724433 + 0.689345i \(0.242102\pi\)
\(542\) 602.165 1853.27i 0.0477218 0.146873i
\(543\) −773.491 −0.0611302
\(544\) −1280.56 + 3941.15i −0.100926 + 0.310617i
\(545\) −14848.9 + 13845.9i −1.16707 + 1.08824i
\(546\) 78.8900 + 242.799i 0.00618348 + 0.0190308i
\(547\) 4424.68 + 13617.8i 0.345861 + 1.06445i 0.961121 + 0.276126i \(0.0890508\pi\)
−0.615261 + 0.788324i \(0.710949\pi\)
\(548\) −13772.1 10006.0i −1.07357 0.779992i
\(549\) −7792.15 −0.605757
\(550\) 2829.75 + 4529.20i 0.219384 + 0.351138i
\(551\) 9897.50 0.765241
\(552\) −5087.80 3696.50i −0.392303 0.285025i
\(553\) −516.751 1590.40i −0.0397369 0.122298i
\(554\) 1361.79 + 4191.17i 0.104435 + 0.321418i
\(555\) −11801.9 6542.39i −0.902634 0.500376i
\(556\) 4735.02 14572.9i 0.361168 1.11156i
\(557\) −14882.2 −1.13210 −0.566050 0.824371i \(-0.691529\pi\)
−0.566050 + 0.824371i \(0.691529\pi\)
\(558\) 393.400 1210.76i 0.0298458 0.0918560i
\(559\) 505.217 367.061i 0.0382261 0.0277729i
\(560\) −4382.58 + 4086.56i −0.330710 + 0.308372i
\(561\) 2877.93 + 2090.94i 0.216589 + 0.157361i
\(562\) −1941.38 + 1410.49i −0.145715 + 0.105868i
\(563\) −4575.37 + 3324.20i −0.342502 + 0.248842i −0.745717 0.666263i \(-0.767893\pi\)
0.403215 + 0.915105i \(0.367893\pi\)
\(564\) −1307.07 949.639i −0.0975841 0.0708990i
\(565\) −8890.10 + 8289.62i −0.661964 + 0.617251i
\(566\) 820.644 596.233i 0.0609439 0.0442783i
\(567\) 312.468 961.678i 0.0231436 0.0712287i
\(568\) 7583.03 0.560170
\(569\) −3095.34 + 9526.47i −0.228055 + 0.701881i 0.769912 + 0.638150i \(0.220300\pi\)
−0.997967 + 0.0637311i \(0.979700\pi\)
\(570\) −1299.93 720.620i −0.0955232 0.0529534i
\(571\) −5372.65 16535.3i −0.393763 1.21188i −0.929921 0.367759i \(-0.880125\pi\)
0.536158 0.844117i \(-0.319875\pi\)
\(572\) −699.061 2151.49i −0.0511000 0.157270i
\(573\) 9613.24 + 6984.43i 0.700871 + 0.509212i
\(574\) −2786.27 −0.202607
\(575\) −16857.3 6812.07i −1.22261 0.494058i
\(576\) −1747.42 −0.126405
\(577\) 7189.00 + 5223.12i 0.518686 + 0.376848i 0.816109 0.577898i \(-0.196127\pi\)
−0.297422 + 0.954746i \(0.596127\pi\)
\(578\) 1242.76 + 3824.81i 0.0894323 + 0.275244i
\(579\) 1162.26 + 3577.08i 0.0834232 + 0.256750i
\(580\) −12364.9 + 11529.7i −0.885215 + 0.825423i
\(581\) 1993.01 6133.86i 0.142313 0.437996i
\(582\) 4698.49 0.334637
\(583\) −2308.56 + 7105.01i −0.163998 + 0.504733i
\(584\) −11679.3 + 8485.54i −0.827560 + 0.601257i
\(585\) −137.038 + 704.877i −0.00968516 + 0.0498172i
\(586\) −6137.18 4458.92i −0.432636 0.314328i
\(587\) −16841.6 + 12236.1i −1.18420 + 0.860372i −0.992639 0.121109i \(-0.961355\pi\)
−0.191561 + 0.981481i \(0.561355\pi\)
\(588\) −3219.50 + 2339.11i −0.225800 + 0.164053i
\(589\) −5557.57 4037.81i −0.388787 0.282471i
\(590\) 6308.00 774.319i 0.440163 0.0540309i
\(591\) 12280.5 8922.30i 0.854741 0.621006i
\(592\) 5337.55 16427.3i 0.370560 1.14047i
\(593\) 24320.9 1.68422 0.842108 0.539309i \(-0.181314\pi\)
0.842108 + 0.539309i \(0.181314\pi\)
\(594\) 356.467 1097.09i 0.0246229 0.0757816i
\(595\) 706.156 3632.23i 0.0486547 0.250264i
\(596\) 3345.92 + 10297.7i 0.229957 + 0.707734i
\(597\) −4935.54 15190.0i −0.338355 1.04135i
\(598\) −802.163 582.805i −0.0548543 0.0398540i
\(599\) 18650.6 1.27219 0.636096 0.771610i \(-0.280548\pi\)
0.636096 + 0.771610i \(0.280548\pi\)
\(600\) 5244.07 1307.14i 0.356814 0.0889393i
\(601\) −15558.8 −1.05600 −0.528000 0.849245i \(-0.677058\pi\)
−0.528000 + 0.849245i \(0.677058\pi\)
\(602\) 844.212 + 613.356i 0.0571554 + 0.0415258i
\(603\) −1129.99 3477.75i −0.0763129 0.234867i
\(604\) −5660.96 17422.6i −0.381359 1.17370i
\(605\) 3163.01 + 6783.67i 0.212553 + 0.455860i
\(606\) 383.662 1180.79i 0.0257181 0.0791523i
\(607\) 27620.1 1.84690 0.923448 0.383722i \(-0.125358\pi\)
0.923448 + 0.383722i \(0.125358\pi\)
\(608\) 2240.73 6896.24i 0.149463 0.459999i
\(609\) 6464.24 4696.54i 0.430122 0.312502i
\(610\) 3907.47 + 8380.31i 0.259359 + 0.556244i
\(611\) −438.686 318.724i −0.0290463 0.0211034i
\(612\) 1368.14 994.014i 0.0903659 0.0656547i
\(613\) 8560.30 6219.42i 0.564025 0.409788i −0.268905 0.963167i \(-0.586662\pi\)
0.832930 + 0.553379i \(0.186662\pi\)
\(614\) −4177.65 3035.24i −0.274587 0.199499i
\(615\) −6854.32 3799.70i −0.449419 0.249136i
\(616\) 6510.10 4729.87i 0.425811 0.309370i
\(617\) 8162.75 25122.4i 0.532609 1.63920i −0.216150 0.976360i \(-0.569350\pi\)
0.748759 0.662842i \(-0.230650\pi\)
\(618\) −233.051 −0.0151694
\(619\) −1467.19 + 4515.54i −0.0952686 + 0.293207i −0.987324 0.158720i \(-0.949263\pi\)
0.892055 + 0.451927i \(0.149263\pi\)
\(620\) 11646.7 1429.66i 0.754427 0.0926073i
\(621\) 1213.59 + 3735.04i 0.0784212 + 0.241356i
\(622\) 1365.46 + 4202.47i 0.0880227 + 0.270906i
\(623\) 6167.69 + 4481.09i 0.396634 + 0.288172i
\(624\) −919.156 −0.0589674
\(625\) 13797.0 7333.72i 0.883008 0.469358i
\(626\) 1006.16 0.0642399
\(627\) −5035.82 3658.73i −0.320751 0.233040i
\(628\) 1517.71 + 4671.03i 0.0964383 + 0.296807i
\(629\) 3295.96 + 10143.9i 0.208933 + 0.643028i
\(630\) −1190.96 + 146.192i −0.0753157 + 0.00924514i
\(631\) −7572.56 + 23305.9i −0.477748 + 1.47036i 0.364468 + 0.931216i \(0.381251\pi\)
−0.842216 + 0.539141i \(0.818749\pi\)
\(632\) −1930.58 −0.121510
\(633\) −954.503 + 2937.66i −0.0599338 + 0.184457i
\(634\) 2094.28 1521.59i 0.131190 0.0953153i
\(635\) −8521.52 4723.91i −0.532545 0.295217i
\(636\) 2873.21 + 2087.51i 0.179135 + 0.130149i
\(637\) −1080.55 + 785.065i −0.0672103 + 0.0488311i
\(638\) 7374.48 5357.87i 0.457615 0.332477i
\(639\) −3831.04 2783.41i −0.237173 0.172316i
\(640\) 6784.31 + 14550.2i 0.419021 + 0.898669i
\(641\) 5161.67 3750.17i 0.318055 0.231081i −0.417290 0.908773i \(-0.637020\pi\)
0.735345 + 0.677693i \(0.237020\pi\)
\(642\) −346.934 + 1067.75i −0.0213277 + 0.0656399i
\(643\) −21527.0 −1.32029 −0.660143 0.751140i \(-0.729504\pi\)
−0.660143 + 0.751140i \(0.729504\pi\)
\(644\) −3976.86 + 12239.5i −0.243339 + 0.748921i
\(645\) 1240.34 + 2660.15i 0.0757186 + 0.162393i
\(646\) 363.038 + 1117.32i 0.0221107 + 0.0680499i
\(647\) 7369.80 + 22681.9i 0.447816 + 1.37824i 0.879366 + 0.476147i \(0.157967\pi\)
−0.431550 + 0.902089i \(0.642033\pi\)
\(648\) −944.428 686.167i −0.0572541 0.0415975i
\(649\) 26615.9 1.60981
\(650\) 826.801 206.088i 0.0498920 0.0124361i
\(651\) −5545.77 −0.333880
\(652\) −20759.8 15082.9i −1.24696 0.905970i
\(653\) 3660.56 + 11266.1i 0.219370 + 0.675153i 0.998814 + 0.0486808i \(0.0155017\pi\)
−0.779444 + 0.626472i \(0.784498\pi\)
\(654\) −1608.09 4949.18i −0.0961485 0.295915i
\(655\) 3644.63 18746.8i 0.217416 1.11832i
\(656\) 3099.95 9540.66i 0.184501 0.567836i
\(657\) 9015.24 0.535339
\(658\) 279.996 861.740i 0.0165887 0.0510549i
\(659\) 10619.8 7715.74i 0.627752 0.456089i −0.227869 0.973692i \(-0.573176\pi\)
0.855621 + 0.517603i \(0.173176\pi\)
\(660\) 10553.3 1295.44i 0.622406 0.0764015i
\(661\) −19816.4 14397.4i −1.16606 0.847195i −0.175531 0.984474i \(-0.556164\pi\)
−0.990532 + 0.137279i \(0.956164\pi\)
\(662\) −3390.80 + 2463.56i −0.199074 + 0.144636i
\(663\) 459.185 333.617i 0.0268978 0.0195424i
\(664\) −6023.84 4376.57i −0.352064 0.255789i
\(665\) −1235.63 + 6355.69i −0.0720539 + 0.370621i
\(666\) 2798.15 2032.98i 0.162802 0.118283i
\(667\) −9589.75 + 29514.2i −0.556696 + 1.71333i
\(668\) −11025.4 −0.638602
\(669\) 1154.25 3552.42i 0.0667055 0.205298i
\(670\) −3173.60 + 2959.24i −0.182996 + 0.170635i
\(671\) 11966.4 + 36828.7i 0.688460 + 2.11886i
\(672\) −1808.93 5567.33i −0.103841 0.319590i
\(673\) 22718.1 + 16505.7i 1.30122 + 0.945389i 0.999967 0.00815586i \(-0.00259612\pi\)
0.301250 + 0.953545i \(0.402596\pi\)
\(674\) 3699.27 0.211410
\(675\) −3129.16 1264.50i −0.178432 0.0721046i
\(676\) 15210.4 0.865406
\(677\) 5521.73 + 4011.77i 0.313467 + 0.227747i 0.733383 0.679816i \(-0.237940\pi\)
−0.419916 + 0.907563i \(0.637940\pi\)
\(678\) −962.771 2963.10i −0.0545354 0.167843i
\(679\) −6324.84 19465.9i −0.357474 1.10019i
\(680\) −3736.19 2071.16i −0.210701 0.116802i
\(681\) −4262.85 + 13119.7i −0.239872 + 0.738250i
\(682\) −6326.67 −0.355221
\(683\) −9718.81 + 29911.4i −0.544480 + 1.67574i 0.177742 + 0.984077i \(0.443121\pi\)
−0.722223 + 0.691661i \(0.756879\pi\)
\(684\) −2393.98 + 1739.33i −0.133825 + 0.0972294i
\(685\) 19640.0 18313.5i 1.09549 1.02149i
\(686\) −5114.60 3715.97i −0.284659 0.206817i
\(687\) −15423.3 + 11205.7i −0.856531 + 0.622306i
\(688\) −3039.49 + 2208.32i −0.168430 + 0.122371i
\(689\) 964.323 + 700.622i 0.0533204 + 0.0387396i
\(690\) 3408.39 3178.17i 0.188051 0.175349i
\(691\) −4964.49 + 3606.92i −0.273312 + 0.198572i −0.715995 0.698106i \(-0.754027\pi\)
0.442683 + 0.896678i \(0.354027\pi\)
\(692\) 4765.61 14667.0i 0.261794 0.805718i
\(693\) −5025.12 −0.275452
\(694\) −1707.02 + 5253.66i −0.0933682 + 0.287358i
\(695\) 21140.3 + 11719.1i 1.15381 + 0.639615i
\(696\) −2850.56 8773.12i −0.155244 0.477793i
\(697\) 1914.23 + 5891.41i 0.104027 + 0.320162i
\(698\) −2253.96 1637.60i −0.122226 0.0888024i
\(699\) 1907.90 0.103238
\(700\) −5860.15 9379.54i −0.316418 0.506448i
\(701\) 5291.43 0.285099 0.142550 0.989788i \(-0.454470\pi\)
0.142550 + 0.989788i \(0.454470\pi\)
\(702\) −148.902 108.184i −0.00800564 0.00581643i
\(703\) −5767.28 17749.9i −0.309413 0.952275i
\(704\) 2683.50 + 8258.98i 0.143662 + 0.442148i
\(705\) 1863.98 1738.07i 0.0995764 0.0928505i
\(706\) 1029.47 3168.37i 0.0548789 0.168900i
\(707\) −5408.48 −0.287704
\(708\) 3909.99 12033.7i 0.207551 0.638777i
\(709\) 3548.04 2577.80i 0.187940 0.136546i −0.489837 0.871814i \(-0.662944\pi\)
0.677777 + 0.735268i \(0.262944\pi\)
\(710\) −1072.38 + 5515.99i −0.0566843 + 0.291565i
\(711\) 975.351 + 708.634i 0.0514466 + 0.0373781i
\(712\) 7120.50 5173.34i 0.374792 0.272302i
\(713\) 17425.5 12660.3i 0.915271 0.664984i
\(714\) 767.293 + 557.471i 0.0402174 + 0.0292197i
\(715\) 3541.97 434.784i 0.185262 0.0227412i
\(716\) −10696.3 + 7771.34i −0.558297 + 0.405626i
\(717\) −5986.95 + 18425.9i −0.311837 + 0.959735i
\(718\) −10131.7 −0.526616
\(719\) 1980.88 6096.52i 0.102746 0.316219i −0.886449 0.462827i \(-0.846835\pi\)
0.989195 + 0.146607i \(0.0468353\pi\)
\(720\) 824.450 4240.70i 0.0426742 0.219502i
\(721\) 313.720 + 965.530i 0.0162046 + 0.0498727i
\(722\) 1389.41 + 4276.16i 0.0716184 + 0.220419i
\(723\) −1237.18 898.866i −0.0636394 0.0462368i
\(724\) 1827.38 0.0938040
\(725\) −14131.1 22617.7i −0.723882 1.15862i
\(726\) −1918.48 −0.0980736
\(727\) −25616.4 18611.4i −1.30682 0.949463i −0.306826 0.951766i \(-0.599267\pi\)
−0.999997 + 0.00230297i \(0.999267\pi\)
\(728\) −396.752 1221.08i −0.0201986 0.0621650i
\(729\) 225.273 + 693.320i 0.0114451 + 0.0352243i
\(730\) −4520.81 9695.72i −0.229209 0.491582i
\(731\) 716.913 2206.43i 0.0362736 0.111639i
\(732\) 18409.0 0.929532
\(733\) 7962.64 24506.5i 0.401237 1.23488i −0.522759 0.852480i \(-0.675097\pi\)
0.923997 0.382401i \(-0.124903\pi\)
\(734\) −2075.05 + 1507.61i −0.104348 + 0.0758135i
\(735\) −2652.83 5689.49i −0.133131 0.285524i
\(736\) 18393.4 + 13363.6i 0.921184 + 0.669279i
\(737\) −14701.9 + 10681.5i −0.734803 + 0.533866i
\(738\) 1625.12 1180.72i 0.0810588 0.0588926i
\(739\) −2741.77 1992.01i −0.136479 0.0991575i 0.517451 0.855713i \(-0.326881\pi\)
−0.653930 + 0.756555i \(0.726881\pi\)
\(740\) 27882.1 + 15456.5i 1.38509 + 0.767826i
\(741\) −803.483 + 583.764i −0.0398336 + 0.0289408i
\(742\) −615.491 + 1894.29i −0.0304520 + 0.0937216i
\(743\) −17203.7 −0.849453 −0.424727 0.905322i \(-0.639630\pi\)
−0.424727 + 0.905322i \(0.639630\pi\)
\(744\) −1978.48 + 6089.14i −0.0974928 + 0.300052i
\(745\) −16952.9 + 2081.01i −0.833702 + 0.102338i
\(746\) 203.227 + 625.467i 0.00997407 + 0.0306970i
\(747\) 1436.86 + 4422.20i 0.0703774 + 0.216599i
\(748\) −6799.15 4939.87i −0.332355 0.241470i
\(749\) 4890.72 0.238589
\(750\) 209.215 + 3999.46i 0.0101859 + 0.194719i
\(751\) 17081.3 0.829970 0.414985 0.909828i \(-0.363787\pi\)
0.414985 + 0.909828i \(0.363787\pi\)
\(752\) 2639.23 + 1917.51i 0.127982 + 0.0929846i
\(753\) 2452.81 + 7548.97i 0.118706 + 0.365338i
\(754\) −449.430 1383.20i −0.0217073 0.0668082i
\(755\) 28682.7 3520.85i 1.38261 0.169718i
\(756\) −738.210 + 2271.98i −0.0355138 + 0.109300i
\(757\) 4684.65 0.224923 0.112461 0.993656i \(-0.464127\pi\)
0.112461 + 0.993656i \(0.464127\pi\)
\(758\) 3611.69 11115.6i 0.173064 0.532635i
\(759\) 15789.5 11471.8i 0.755103 0.548615i
\(760\) 6537.60 + 3624.13i 0.312031 + 0.172975i
\(761\) −20522.2 14910.2i −0.977567 0.710244i −0.0204031 0.999792i \(-0.506495\pi\)
−0.957163 + 0.289548i \(0.906495\pi\)
\(762\) 2020.40 1467.91i 0.0960517 0.0697856i
\(763\) −18339.8 + 13324.6i −0.870175 + 0.632219i
\(764\) −22711.4 16500.8i −1.07548 0.781385i
\(765\) 1127.33 + 2417.78i 0.0532795 + 0.114268i
\(766\) 1470.00 1068.01i 0.0693382 0.0503772i
\(767\) 1312.29 4038.82i 0.0617786 0.190135i
\(768\) 544.859 0.0256001
\(769\) −6578.26 + 20245.8i −0.308476 + 0.949392i 0.669881 + 0.742468i \(0.266345\pi\)
−0.978357 + 0.206923i \(0.933655\pi\)
\(770\) 2519.91 + 5404.42i 0.117937