Properties

Label 75.4.g.b.46.5
Level $75$
Weight $4$
Character 75.46
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 46.5
Character \(\chi\) \(=\) 75.46
Dual form 75.4.g.b.31.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.536885 - 1.65236i) q^{2} +(-2.42705 - 1.76336i) q^{3} +(4.03008 + 2.92802i) q^{4} +(8.44668 + 7.32487i) q^{5} +(-4.21675 + 3.06365i) q^{6} +7.66213 q^{7} +(18.2465 - 13.2569i) q^{8} +(2.78115 + 8.55951i) q^{9} +O(q^{10})\) \(q+(0.536885 - 1.65236i) q^{2} +(-2.42705 - 1.76336i) q^{3} +(4.03008 + 2.92802i) q^{4} +(8.44668 + 7.32487i) q^{5} +(-4.21675 + 3.06365i) q^{6} +7.66213 q^{7} +(18.2465 - 13.2569i) q^{8} +(2.78115 + 8.55951i) q^{9} +(16.6382 - 10.0244i) q^{10} +(6.32569 - 19.4685i) q^{11} +(-4.61806 - 14.2129i) q^{12} +(-4.57589 - 14.0831i) q^{13} +(4.11368 - 12.6606i) q^{14} +(-7.58417 - 32.6723i) q^{15} +(0.205937 + 0.633807i) q^{16} +(88.1826 - 64.0684i) q^{17} +15.6366 q^{18} +(-79.1097 + 57.4766i) q^{19} +(12.5934 + 54.2518i) q^{20} +(-18.5964 - 13.5111i) q^{21} +(-28.7728 - 20.9047i) q^{22} +(-24.8979 + 76.6279i) q^{23} -67.6618 q^{24} +(17.6927 + 123.742i) q^{25} -25.7272 q^{26} +(8.34346 - 25.6785i) q^{27} +(30.8790 + 22.4349i) q^{28} +(-47.7769 - 34.7119i) q^{29} +(-58.0584 - 5.00949i) q^{30} +(-142.644 + 103.637i) q^{31} +181.589 q^{32} +(-49.6826 + 36.0966i) q^{33} +(-58.5204 - 180.107i) q^{34} +(64.7195 + 56.1241i) q^{35} +(-13.8542 + 42.6388i) q^{36} +(-71.2396 - 219.253i) q^{37} +(52.4993 + 161.576i) q^{38} +(-13.7277 + 42.2494i) q^{39} +(251.227 + 21.6768i) q^{40} +(55.4575 + 170.681i) q^{41} +(-32.3093 + 23.4741i) q^{42} -407.459 q^{43} +(82.4972 - 59.9377i) q^{44} +(-39.2058 + 92.6710i) q^{45} +(113.250 + 82.2808i) q^{46} +(-386.035 - 280.471i) q^{47} +(0.617810 - 1.90142i) q^{48} -284.292 q^{49} +(213.965 + 37.2003i) q^{50} -326.999 q^{51} +(22.7945 - 70.1544i) q^{52} +(417.069 + 303.018i) q^{53} +(-37.9508 - 27.5729i) q^{54} +(196.035 - 118.109i) q^{55} +(139.807 - 101.576i) q^{56} +293.355 q^{57} +(-83.0075 + 60.3085i) q^{58} +(-176.586 - 543.476i) q^{59} +(65.1005 - 153.879i) q^{60} +(-16.1665 + 49.7554i) q^{61} +(94.6624 + 291.341i) q^{62} +(21.3095 + 65.5840i) q^{63} +(95.8452 - 294.981i) q^{64} +(64.5060 - 152.473i) q^{65} +(32.9707 + 101.473i) q^{66} +(446.427 - 324.348i) q^{67} +542.976 q^{68} +(195.551 - 142.076i) q^{69} +(127.484 - 76.8079i) q^{70} +(-298.250 - 216.692i) q^{71} +(164.219 + 119.312i) q^{72} +(-125.605 + 386.571i) q^{73} -400.533 q^{74} +(175.259 - 331.525i) q^{75} -487.111 q^{76} +(48.4683 - 149.170i) q^{77} +(62.4412 + 45.3662i) q^{78} +(529.704 + 384.853i) q^{79} +(-2.90308 + 6.86202i) q^{80} +(-65.5304 + 47.6106i) q^{81} +311.801 q^{82} +(-341.288 + 247.960i) q^{83} +(-35.3841 - 108.901i) q^{84} +(1214.14 + 104.761i) q^{85} +(-218.759 + 673.271i) q^{86} +(54.7475 + 168.495i) q^{87} +(-142.669 - 439.091i) q^{88} +(131.375 - 404.330i) q^{89} +(132.077 + 114.536i) q^{90} +(-35.0610 - 107.907i) q^{91} +(-324.709 + 235.915i) q^{92} +528.953 q^{93} +(-670.697 + 487.290i) q^{94} +(-1089.22 - 93.9821i) q^{95} +(-440.727 - 320.207i) q^{96} +(-477.859 - 347.185i) q^{97} +(-152.632 + 469.753i) q^{98} +184.233 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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).

\(n\) \(26\) \(52\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.536885 1.65236i 0.189818 0.584199i −0.810180 0.586181i \(-0.800631\pi\)
0.999998 + 0.00198195i \(0.000630875\pi\)
\(3\) −2.42705 1.76336i −0.467086 0.339358i
\(4\) 4.03008 + 2.92802i 0.503760 + 0.366003i
\(5\) 8.44668 + 7.32487i 0.755494 + 0.655156i
\(6\) −4.21675 + 3.06365i −0.286914 + 0.208455i
\(7\) 7.66213 0.413716 0.206858 0.978371i \(-0.433676\pi\)
0.206858 + 0.978371i \(0.433676\pi\)
\(8\) 18.2465 13.2569i 0.806390 0.585877i
\(9\) 2.78115 + 8.55951i 0.103006 + 0.317019i
\(10\) 16.6382 10.0244i 0.526147 0.316998i
\(11\) 6.32569 19.4685i 0.173388 0.533633i −0.826168 0.563424i \(-0.809484\pi\)
0.999556 + 0.0297901i \(0.00948390\pi\)
\(12\) −4.61806 14.2129i −0.111093 0.341910i
\(13\) −4.57589 14.0831i −0.0976248 0.300458i 0.890304 0.455367i \(-0.150492\pi\)
−0.987929 + 0.154908i \(0.950492\pi\)
\(14\) 4.11368 12.6606i 0.0785306 0.241692i
\(15\) −7.58417 32.6723i −0.130548 0.562397i
\(16\) 0.205937 + 0.633807i 0.00321776 + 0.00990324i
\(17\) 88.1826 64.0684i 1.25808 0.914051i 0.259422 0.965764i \(-0.416468\pi\)
0.998662 + 0.0517127i \(0.0164680\pi\)
\(18\) 15.6366 0.204754
\(19\) −79.1097 + 57.4766i −0.955211 + 0.694001i −0.952034 0.305994i \(-0.901011\pi\)
−0.00317732 + 0.999995i \(0.501011\pi\)
\(20\) 12.5934 + 54.2518i 0.140798 + 0.606554i
\(21\) −18.5964 13.5111i −0.193241 0.140398i
\(22\) −28.7728 20.9047i −0.278836 0.202586i
\(23\) −24.8979 + 76.6279i −0.225721 + 0.694697i 0.772497 + 0.635018i \(0.219008\pi\)
−0.998218 + 0.0596783i \(0.980992\pi\)
\(24\) −67.6618 −0.575475
\(25\) 17.6927 + 123.742i 0.141541 + 0.989932i
\(26\) −25.7272 −0.194058
\(27\) 8.34346 25.6785i 0.0594703 0.183031i
\(28\) 30.8790 + 22.4349i 0.208413 + 0.151421i
\(29\) −47.7769 34.7119i −0.305929 0.222271i 0.424219 0.905560i \(-0.360549\pi\)
−0.730148 + 0.683289i \(0.760549\pi\)
\(30\) −58.0584 5.00949i −0.353332 0.0304868i
\(31\) −142.644 + 103.637i −0.826439 + 0.600443i −0.918550 0.395306i \(-0.870639\pi\)
0.0921106 + 0.995749i \(0.470639\pi\)
\(32\) 181.589 1.00315
\(33\) −49.6826 + 36.0966i −0.262080 + 0.190412i
\(34\) −58.5204 180.107i −0.295181 0.908474i
\(35\) 64.7195 + 56.1241i 0.312560 + 0.271048i
\(36\) −13.8542 + 42.6388i −0.0641397 + 0.197402i
\(37\) −71.2396 219.253i −0.316533 0.974189i −0.975119 0.221683i \(-0.928845\pi\)
0.658586 0.752506i \(-0.271155\pi\)
\(38\) 52.4993 + 161.576i 0.224119 + 0.689767i
\(39\) −13.7277 + 42.2494i −0.0563637 + 0.173470i
\(40\) 251.227 + 21.6768i 0.993063 + 0.0856852i
\(41\) 55.4575 + 170.681i 0.211244 + 0.650143i 0.999399 + 0.0346656i \(0.0110366\pi\)
−0.788155 + 0.615477i \(0.788963\pi\)
\(42\) −32.3093 + 23.4741i −0.118701 + 0.0862412i
\(43\) −407.459 −1.44505 −0.722523 0.691347i \(-0.757018\pi\)
−0.722523 + 0.691347i \(0.757018\pi\)
\(44\) 82.4972 59.9377i 0.282657 0.205362i
\(45\) −39.2058 + 92.6710i −0.129877 + 0.306990i
\(46\) 113.250 + 82.2808i 0.362995 + 0.263731i
\(47\) −386.035 280.471i −1.19806 0.870445i −0.203972 0.978977i \(-0.565385\pi\)
−0.994093 + 0.108532i \(0.965385\pi\)
\(48\) 0.617810 1.90142i 0.00185777 0.00571764i
\(49\) −284.292 −0.828839
\(50\) 213.965 + 37.2003i 0.605184 + 0.105218i
\(51\) −326.999 −0.897824
\(52\) 22.7945 70.1544i 0.0607891 0.187090i
\(53\) 417.069 + 303.018i 1.08092 + 0.785335i 0.977843 0.209339i \(-0.0671311\pi\)
0.103077 + 0.994673i \(0.467131\pi\)
\(54\) −37.9508 27.5729i −0.0956379 0.0694850i
\(55\) 196.035 118.109i 0.480607 0.289560i
\(56\) 139.807 101.576i 0.333616 0.242386i
\(57\) 293.355 0.681681
\(58\) −83.0075 + 60.3085i −0.187921 + 0.136533i
\(59\) −176.586 543.476i −0.389653 1.19923i −0.933048 0.359752i \(-0.882861\pi\)
0.543395 0.839477i \(-0.317139\pi\)
\(60\) 65.1005 153.879i 0.140074 0.331094i
\(61\) −16.1665 + 49.7554i −0.0339329 + 0.104435i −0.966588 0.256333i \(-0.917485\pi\)
0.932655 + 0.360768i \(0.117485\pi\)
\(62\) 94.6624 + 291.341i 0.193905 + 0.596779i
\(63\) 21.3095 + 65.5840i 0.0426151 + 0.131156i
\(64\) 95.8452 294.981i 0.187198 0.576135i
\(65\) 64.5060 152.473i 0.123092 0.290954i
\(66\) 32.9707 + 101.473i 0.0614912 + 0.189250i
\(67\) 446.427 324.348i 0.814026 0.591424i −0.100969 0.994890i \(-0.532194\pi\)
0.914995 + 0.403465i \(0.132194\pi\)
\(68\) 542.976 0.968317
\(69\) 195.551 142.076i 0.341182 0.247883i
\(70\) 127.484 76.8079i 0.217676 0.131147i
\(71\) −298.250 216.692i −0.498532 0.362205i 0.309924 0.950761i \(-0.399696\pi\)
−0.808456 + 0.588556i \(0.799696\pi\)
\(72\) 164.219 + 119.312i 0.268797 + 0.195292i
\(73\) −125.605 + 386.571i −0.201382 + 0.619791i 0.798460 + 0.602048i \(0.205648\pi\)
−0.999843 + 0.0177436i \(0.994352\pi\)
\(74\) −400.533 −0.629203
\(75\) 175.259 331.525i 0.269829 0.510417i
\(76\) −487.111 −0.735203
\(77\) 48.4683 149.170i 0.0717334 0.220773i
\(78\) 62.4412 + 45.3662i 0.0906419 + 0.0658552i
\(79\) 529.704 + 384.853i 0.754384 + 0.548092i 0.897183 0.441659i \(-0.145610\pi\)
−0.142798 + 0.989752i \(0.545610\pi\)
\(80\) −2.90308 + 6.86202i −0.00405717 + 0.00958997i
\(81\) −65.5304 + 47.6106i −0.0898908 + 0.0653095i
\(82\) 311.801 0.419910
\(83\) −341.288 + 247.960i −0.451340 + 0.327918i −0.790125 0.612946i \(-0.789984\pi\)
0.338784 + 0.940864i \(0.389984\pi\)
\(84\) −35.3841 108.901i −0.0459610 0.141453i
\(85\) 1214.14 + 104.761i 1.54932 + 0.133681i
\(86\) −218.759 + 673.271i −0.274295 + 0.844194i
\(87\) 54.7475 + 168.495i 0.0674660 + 0.207639i
\(88\) −142.669 439.091i −0.172825 0.531901i
\(89\) 131.375 404.330i 0.156469 0.481561i −0.841838 0.539730i \(-0.818526\pi\)
0.998307 + 0.0581693i \(0.0185263\pi\)
\(90\) 132.077 + 114.536i 0.154691 + 0.134146i
\(91\) −35.0610 107.907i −0.0403889 0.124304i
\(92\) −324.709 + 235.915i −0.367970 + 0.267346i
\(93\) 528.953 0.589783
\(94\) −670.697 + 487.290i −0.735927 + 0.534682i
\(95\) −1089.22 93.9821i −1.17633 0.101499i
\(96\) −440.727 320.207i −0.468557 0.340427i
\(97\) −477.859 347.185i −0.500198 0.363415i 0.308895 0.951096i \(-0.400041\pi\)
−0.809093 + 0.587681i \(0.800041\pi\)
\(98\) −152.632 + 469.753i −0.157328 + 0.484207i
\(99\) 184.233 0.187032
\(100\) −291.015 + 550.492i −0.291015 + 0.550492i
\(101\) −1533.55 −1.51083 −0.755417 0.655244i \(-0.772566\pi\)
−0.755417 + 0.655244i \(0.772566\pi\)
\(102\) −175.561 + 540.321i −0.170423 + 0.524508i
\(103\) 581.600 + 422.557i 0.556376 + 0.404231i 0.830131 0.557569i \(-0.188266\pi\)
−0.273755 + 0.961800i \(0.588266\pi\)
\(104\) −270.192 196.306i −0.254755 0.185090i
\(105\) −58.1108 250.339i −0.0540099 0.232673i
\(106\) 724.614 526.463i 0.663969 0.482402i
\(107\) −944.844 −0.853659 −0.426830 0.904332i \(-0.640370\pi\)
−0.426830 + 0.904332i \(0.640370\pi\)
\(108\) 108.812 79.0566i 0.0969486 0.0704373i
\(109\) 454.976 + 1400.27i 0.399806 + 1.23048i 0.925155 + 0.379589i \(0.123934\pi\)
−0.525350 + 0.850886i \(0.676066\pi\)
\(110\) −89.9107 387.332i −0.0779332 0.335734i
\(111\) −213.719 + 657.759i −0.182750 + 0.562448i
\(112\) 1.57791 + 4.85631i 0.00133124 + 0.00409713i
\(113\) −253.473 780.108i −0.211015 0.649437i −0.999413 0.0342714i \(-0.989089\pi\)
0.788398 0.615166i \(-0.210911\pi\)
\(114\) 157.498 484.729i 0.129395 0.398237i
\(115\) −771.594 + 464.877i −0.625665 + 0.376957i
\(116\) −90.9072 279.784i −0.0727631 0.223942i
\(117\) 107.818 78.3347i 0.0851950 0.0618978i
\(118\) −992.826 −0.774551
\(119\) 675.666 490.900i 0.520489 0.378158i
\(120\) −571.517 495.614i −0.434768 0.377026i
\(121\) 737.794 + 536.039i 0.554316 + 0.402734i
\(122\) 73.5344 + 53.4259i 0.0545696 + 0.0396471i
\(123\) 166.373 512.042i 0.121962 0.375360i
\(124\) −878.317 −0.636090
\(125\) −756.946 + 1174.80i −0.541627 + 0.840619i
\(126\) 119.809 0.0847101
\(127\) 514.161 1582.42i 0.359247 1.10565i −0.594259 0.804274i \(-0.702554\pi\)
0.953506 0.301375i \(-0.0974455\pi\)
\(128\) 739.313 + 537.142i 0.510521 + 0.370915i
\(129\) 988.924 + 718.496i 0.674961 + 0.490388i
\(130\) −217.309 188.448i −0.146610 0.127138i
\(131\) 1845.96 1341.17i 1.23116 0.894493i 0.234187 0.972192i \(-0.424757\pi\)
0.996977 + 0.0776985i \(0.0247572\pi\)
\(132\) −305.916 −0.201717
\(133\) −606.148 + 440.393i −0.395186 + 0.287119i
\(134\) −296.261 911.797i −0.190993 0.587816i
\(135\) 258.566 155.783i 0.164843 0.0993163i
\(136\) 759.679 2338.05i 0.478985 1.47416i
\(137\) 288.928 + 889.230i 0.180181 + 0.554541i 0.999832 0.0183227i \(-0.00583262\pi\)
−0.819651 + 0.572863i \(0.805833\pi\)
\(138\) −129.773 399.400i −0.0800507 0.246371i
\(139\) −888.184 + 2733.55i −0.541977 + 1.66803i 0.186094 + 0.982532i \(0.440417\pi\)
−0.728071 + 0.685502i \(0.759583\pi\)
\(140\) 96.4921 + 415.684i 0.0582505 + 0.250941i
\(141\) 442.357 + 1361.44i 0.264207 + 0.813146i
\(142\) −518.179 + 376.479i −0.306230 + 0.222489i
\(143\) −303.123 −0.177262
\(144\) −4.85234 + 3.52543i −0.00280807 + 0.00204018i
\(145\) −149.296 643.160i −0.0855057 0.368355i
\(146\) 571.321 + 415.089i 0.323855 + 0.235295i
\(147\) 689.991 + 501.308i 0.387139 + 0.281273i
\(148\) 354.877 1092.20i 0.197099 0.606609i
\(149\) 2275.13 1.25091 0.625457 0.780259i \(-0.284913\pi\)
0.625457 + 0.780259i \(0.284913\pi\)
\(150\) −453.706 467.583i −0.246966 0.254520i
\(151\) 2396.11 1.29134 0.645670 0.763617i \(-0.276578\pi\)
0.645670 + 0.763617i \(0.276578\pi\)
\(152\) −681.517 + 2097.49i −0.363673 + 1.11927i
\(153\) 793.644 + 576.616i 0.419361 + 0.304684i
\(154\) −220.461 160.174i −0.115359 0.0838131i
\(155\) −1963.99 169.461i −1.01775 0.0878156i
\(156\) −179.031 + 130.073i −0.0918841 + 0.0667577i
\(157\) 902.424 0.458734 0.229367 0.973340i \(-0.426334\pi\)
0.229367 + 0.973340i \(0.426334\pi\)
\(158\) 920.307 668.642i 0.463390 0.336673i
\(159\) −477.918 1470.88i −0.238373 0.733638i
\(160\) 1533.83 + 1330.12i 0.757873 + 0.657219i
\(161\) −190.771 + 587.133i −0.0933842 + 0.287407i
\(162\) 43.4877 + 133.841i 0.0210909 + 0.0649110i
\(163\) −1244.80 3831.10i −0.598162 1.84095i −0.538313 0.842745i \(-0.680938\pi\)
−0.0598492 0.998207i \(-0.519062\pi\)
\(164\) −276.259 + 850.237i −0.131538 + 0.404832i
\(165\) −684.056 59.0229i −0.322749 0.0278480i
\(166\) 226.488 + 697.059i 0.105897 + 0.325917i
\(167\) 794.708 577.389i 0.368242 0.267543i −0.388240 0.921558i \(-0.626917\pi\)
0.756481 + 0.654015i \(0.226917\pi\)
\(168\) −518.433 −0.238083
\(169\) 1600.01 1162.48i 0.728272 0.529121i
\(170\) 824.958 1949.96i 0.372185 0.879736i
\(171\) −711.987 517.289i −0.318404 0.231334i
\(172\) −1642.09 1193.05i −0.727955 0.528891i
\(173\) 390.937 1203.18i 0.171806 0.528764i −0.827667 0.561219i \(-0.810333\pi\)
0.999473 + 0.0324551i \(0.0103326\pi\)
\(174\) 307.809 0.134109
\(175\) 135.563 + 948.123i 0.0585579 + 0.409551i
\(176\) 13.6420 0.00584262
\(177\) −529.758 + 1630.43i −0.224966 + 0.692375i
\(178\) −597.567 434.158i −0.251627 0.182817i
\(179\) 1190.56 + 864.991i 0.497131 + 0.361187i 0.807920 0.589292i \(-0.200593\pi\)
−0.310789 + 0.950479i \(0.600593\pi\)
\(180\) −429.345 + 258.676i −0.177786 + 0.107114i
\(181\) 3028.14 2200.07i 1.24353 0.903481i 0.245706 0.969344i \(-0.420980\pi\)
0.997829 + 0.0658635i \(0.0209802\pi\)
\(182\) −197.125 −0.0802850
\(183\) 126.973 92.2515i 0.0512904 0.0372646i
\(184\) 561.546 + 1728.26i 0.224988 + 0.692441i
\(185\) 1004.26 2373.78i 0.399107 0.943372i
\(186\) 283.987 874.022i 0.111951 0.344551i
\(187\) −689.499 2122.06i −0.269632 0.829841i
\(188\) −734.526 2260.64i −0.284951 0.876990i
\(189\) 63.9286 196.752i 0.0246038 0.0757228i
\(190\) −740.080 + 1749.33i −0.282584 + 0.667947i
\(191\) 1221.78 + 3760.25i 0.462853 + 1.42451i 0.861663 + 0.507481i \(0.169423\pi\)
−0.398811 + 0.917033i \(0.630577\pi\)
\(192\) −752.778 + 546.925i −0.282953 + 0.205578i
\(193\) −4739.26 −1.76756 −0.883780 0.467903i \(-0.845010\pi\)
−0.883780 + 0.467903i \(0.845010\pi\)
\(194\) −830.231 + 603.198i −0.307253 + 0.223232i
\(195\) −425.424 + 256.314i −0.156232 + 0.0941282i
\(196\) −1145.72 832.413i −0.417536 0.303357i
\(197\) 1547.32 + 1124.19i 0.559603 + 0.406576i 0.831314 0.555803i \(-0.187589\pi\)
−0.271710 + 0.962379i \(0.587589\pi\)
\(198\) 98.9122 304.420i 0.0355019 0.109264i
\(199\) −3291.81 −1.17262 −0.586308 0.810089i \(-0.699419\pi\)
−0.586308 + 0.810089i \(0.699419\pi\)
\(200\) 1963.26 + 2023.30i 0.694116 + 0.715346i
\(201\) −1655.44 −0.580925
\(202\) −823.343 + 2533.99i −0.286783 + 0.882628i
\(203\) −366.073 265.967i −0.126568 0.0919569i
\(204\) −1317.83 957.461i −0.452288 0.328606i
\(205\) −781.782 + 1847.90i −0.266351 + 0.629577i
\(206\) 1010.47 734.150i 0.341761 0.248304i
\(207\) −725.142 −0.243482
\(208\) 7.98365 5.80046i 0.00266138 0.00193360i
\(209\) 618.558 + 1903.72i 0.204720 + 0.630064i
\(210\) −444.851 38.3834i −0.146179 0.0126129i
\(211\) 220.557 678.806i 0.0719612 0.221474i −0.908607 0.417652i \(-0.862853\pi\)
0.980568 + 0.196178i \(0.0628531\pi\)
\(212\) 793.575 + 2442.37i 0.257089 + 0.791240i
\(213\) 341.764 + 1051.84i 0.109940 + 0.338362i
\(214\) −507.273 + 1561.23i −0.162040 + 0.498707i
\(215\) −3441.68 2984.58i −1.09172 0.946730i
\(216\) −188.178 579.152i −0.0592772 0.182437i
\(217\) −1092.96 + 794.079i −0.341911 + 0.248413i
\(218\) 2558.03 0.794732
\(219\) 986.512 716.743i 0.304394 0.221155i
\(220\) 1135.86 + 98.0065i 0.348090 + 0.0300345i
\(221\) −1305.80 948.717i −0.397454 0.288768i
\(222\) 972.115 + 706.283i 0.293892 + 0.213525i
\(223\) −1401.89 + 4314.59i −0.420977 + 1.29563i 0.485818 + 0.874060i \(0.338522\pi\)
−0.906794 + 0.421573i \(0.861478\pi\)
\(224\) 1391.36 0.415019
\(225\) −1009.96 + 495.585i −0.299248 + 0.146840i
\(226\) −1425.11 −0.419455
\(227\) 15.3118 47.1250i 0.00447701 0.0137788i −0.948793 0.315898i \(-0.897694\pi\)
0.953270 + 0.302119i \(0.0976942\pi\)
\(228\) 1182.24 + 858.950i 0.343403 + 0.249497i
\(229\) 1905.02 + 1384.08i 0.549726 + 0.399399i 0.827684 0.561194i \(-0.189658\pi\)
−0.277959 + 0.960593i \(0.589658\pi\)
\(230\) 353.889 + 1524.54i 0.101455 + 0.437066i
\(231\) −380.675 + 276.576i −0.108427 + 0.0787766i
\(232\) −1331.93 −0.376921
\(233\) 2345.37 1704.01i 0.659443 0.479113i −0.207032 0.978334i \(-0.566380\pi\)
0.866475 + 0.499221i \(0.166380\pi\)
\(234\) −71.5512 220.212i −0.0199891 0.0615201i
\(235\) −1206.30 5196.71i −0.334853 1.44253i
\(236\) 879.654 2707.30i 0.242630 0.746738i
\(237\) −606.987 1868.11i −0.166363 0.512013i
\(238\) −448.390 1380.00i −0.122121 0.375850i
\(239\) −325.770 + 1002.62i −0.0881685 + 0.271355i −0.985413 0.170179i \(-0.945565\pi\)
0.897245 + 0.441534i \(0.145565\pi\)
\(240\) 19.1461 11.5353i 0.00514948 0.00310251i
\(241\) 2114.42 + 6507.51i 0.565152 + 1.73936i 0.667499 + 0.744610i \(0.267365\pi\)
−0.102347 + 0.994749i \(0.532635\pi\)
\(242\) 1281.84 931.313i 0.340496 0.247385i
\(243\) 243.000 0.0641500
\(244\) −210.837 + 153.182i −0.0553174 + 0.0401905i
\(245\) −2401.32 2082.40i −0.626183 0.543019i
\(246\) −756.757 549.816i −0.196134 0.142500i
\(247\) 1171.45 + 851.106i 0.301771 + 0.219249i
\(248\) −1228.85 + 3782.03i −0.314647 + 0.968382i
\(249\) 1265.57 0.322096
\(250\) 1534.80 + 1881.48i 0.388278 + 0.475982i
\(251\) −6021.53 −1.51424 −0.757122 0.653273i \(-0.773395\pi\)
−0.757122 + 0.653273i \(0.773395\pi\)
\(252\) −106.152 + 326.704i −0.0265356 + 0.0816682i
\(253\) 1334.33 + 969.449i 0.331576 + 0.240904i
\(254\) −2338.69 1699.16i −0.577727 0.419743i
\(255\) −2762.06 2395.23i −0.678300 0.588215i
\(256\) 3291.89 2391.70i 0.803684 0.583910i
\(257\) −539.470 −0.130939 −0.0654693 0.997855i \(-0.520854\pi\)
−0.0654693 + 0.997855i \(0.520854\pi\)
\(258\) 1718.15 1248.31i 0.414603 0.301227i
\(259\) −545.847 1679.94i −0.130955 0.403037i
\(260\) 706.410 425.604i 0.168499 0.101519i
\(261\) 164.242 505.486i 0.0389515 0.119880i
\(262\) −1225.03 3770.26i −0.288865 0.889035i
\(263\) −218.707 673.110i −0.0512777 0.157817i 0.922139 0.386860i \(-0.126440\pi\)
−0.973416 + 0.229043i \(0.926440\pi\)
\(264\) −428.008 + 1317.27i −0.0997806 + 0.307093i
\(265\) 1303.28 + 5614.47i 0.302112 + 1.30149i
\(266\) 402.256 + 1238.02i 0.0927215 + 0.285367i
\(267\) −1031.83 + 749.669i −0.236506 + 0.171832i
\(268\) 2748.83 0.626536
\(269\) 2328.29 1691.60i 0.527725 0.383415i −0.291781 0.956485i \(-0.594248\pi\)
0.819506 + 0.573070i \(0.194248\pi\)
\(270\) −118.590 510.883i −0.0267303 0.115153i
\(271\) −2887.60 2097.96i −0.647267 0.470267i 0.215072 0.976598i \(-0.431001\pi\)
−0.862339 + 0.506331i \(0.831001\pi\)
\(272\) 58.7671 + 42.6968i 0.0131003 + 0.00951791i
\(273\) −105.183 + 323.720i −0.0233186 + 0.0717671i
\(274\) 1624.45 0.358163
\(275\) 2520.98 + 438.302i 0.552803 + 0.0961113i
\(276\) 1204.09 0.262600
\(277\) 2149.70 6616.10i 0.466292 1.43510i −0.391058 0.920366i \(-0.627891\pi\)
0.857350 0.514734i \(-0.172109\pi\)
\(278\) 4039.97 + 2935.21i 0.871586 + 0.633245i
\(279\) −1283.80 932.732i −0.275480 0.200148i
\(280\) 1924.94 + 166.091i 0.410846 + 0.0354493i
\(281\) −2693.55 + 1956.98i −0.571829 + 0.415458i −0.835769 0.549081i \(-0.814978\pi\)
0.263940 + 0.964539i \(0.414978\pi\)
\(282\) 2487.08 0.525190
\(283\) 496.720 360.889i 0.104336 0.0758042i −0.534394 0.845235i \(-0.679460\pi\)
0.638730 + 0.769431i \(0.279460\pi\)
\(284\) −567.494 1746.57i −0.118572 0.364928i
\(285\) 2477.87 + 2148.79i 0.515005 + 0.446607i
\(286\) −162.742 + 500.869i −0.0336474 + 0.103556i
\(287\) 424.923 + 1307.78i 0.0873951 + 0.268974i
\(288\) 505.028 + 1554.32i 0.103330 + 0.318017i
\(289\) 2153.21 6626.90i 0.438268 1.34885i
\(290\) −1142.89 98.6127i −0.231423 0.0199681i
\(291\) 547.577 + 1685.27i 0.110308 + 0.339492i
\(292\) −1638.09 + 1190.14i −0.328294 + 0.238519i
\(293\) −6494.46 −1.29492 −0.647458 0.762101i \(-0.724168\pi\)
−0.647458 + 0.762101i \(0.724168\pi\)
\(294\) 1198.79 870.971i 0.237805 0.172776i
\(295\) 2489.32 5884.03i 0.491302 1.16129i
\(296\) −4206.49 3056.19i −0.826003 0.600127i
\(297\) −447.144 324.869i −0.0873600 0.0634707i
\(298\) 1221.49 3759.35i 0.237446 0.730782i
\(299\) 1193.09 0.230763
\(300\) 1677.02 822.910i 0.322743 0.158369i
\(301\) −3122.00 −0.597838
\(302\) 1286.43 3959.24i 0.245119 0.754399i
\(303\) 3722.01 + 2704.20i 0.705690 + 0.512714i
\(304\) −52.7206 38.3038i −0.00994650 0.00722656i
\(305\) −501.005 + 301.850i −0.0940572 + 0.0566685i
\(306\) 1378.87 1001.81i 0.257598 0.187156i
\(307\) −967.468 −0.179858 −0.0899289 0.995948i \(-0.528664\pi\)
−0.0899289 + 0.995948i \(0.528664\pi\)
\(308\) 632.104 459.250i 0.116940 0.0849617i
\(309\) −666.454 2051.14i −0.122697 0.377621i
\(310\) −1334.45 + 3154.25i −0.244489 + 0.577901i
\(311\) −472.899 + 1455.43i −0.0862239 + 0.265370i −0.984867 0.173310i \(-0.944554\pi\)
0.898643 + 0.438680i \(0.144554\pi\)
\(312\) 309.613 + 952.890i 0.0561807 + 0.172906i
\(313\) 2467.07 + 7592.86i 0.445518 + 1.37116i 0.881915 + 0.471409i \(0.156254\pi\)
−0.436397 + 0.899754i \(0.643746\pi\)
\(314\) 484.498 1491.13i 0.0870759 0.267992i
\(315\) −300.400 + 710.057i −0.0537320 + 0.127007i
\(316\) 1007.89 + 3101.97i 0.179425 + 0.552214i
\(317\) 4272.46 3104.12i 0.756988 0.549984i −0.140997 0.990010i \(-0.545031\pi\)
0.897985 + 0.440026i \(0.145031\pi\)
\(318\) −2687.02 −0.473838
\(319\) −978.011 + 710.567i −0.171655 + 0.124715i
\(320\) 2970.27 1789.56i 0.518885 0.312623i
\(321\) 2293.19 + 1666.10i 0.398732 + 0.289696i
\(322\) 867.735 + 630.446i 0.150177 + 0.109110i
\(323\) −3293.67 + 10136.9i −0.567382 + 1.74622i
\(324\) −403.497 −0.0691868
\(325\) 1661.71 815.395i 0.283615 0.139169i
\(326\) −6998.69 −1.18902
\(327\) 1364.93 4200.82i 0.230828 0.710415i
\(328\) 3274.60 + 2379.14i 0.551249 + 0.400505i
\(329\) −2957.85 2149.00i −0.495658 0.360117i
\(330\) −464.787 + 1098.62i −0.0775323 + 0.183264i
\(331\) 1684.86 1224.12i 0.279783 0.203274i −0.439040 0.898468i \(-0.644681\pi\)
0.718823 + 0.695194i \(0.244681\pi\)
\(332\) −2101.45 −0.347386
\(333\) 1678.57 1219.55i 0.276231 0.200694i
\(334\) −527.389 1623.14i −0.0863996 0.265911i
\(335\) 6146.63 + 530.354i 1.00247 + 0.0864966i
\(336\) 4.73373 14.5689i 0.000768591 0.00236548i
\(337\) 2139.80 + 6585.61i 0.345882 + 1.06451i 0.961110 + 0.276165i \(0.0890637\pi\)
−0.615229 + 0.788349i \(0.710936\pi\)
\(338\) −1061.81 3267.92i −0.170873 0.525892i
\(339\) −760.418 + 2340.33i −0.121830 + 0.374953i
\(340\) 4586.35 + 3977.23i 0.731557 + 0.634399i
\(341\) 1115.33 + 3432.64i 0.177122 + 0.545125i
\(342\) −1237.00 + 898.737i −0.195584 + 0.142100i
\(343\) −4806.39 −0.756620
\(344\) −7434.71 + 5401.64i −1.16527 + 0.846618i
\(345\) 2692.44 + 232.314i 0.420163 + 0.0362532i
\(346\) −1778.20 1291.94i −0.276291 0.200737i
\(347\) 1746.81 + 1269.13i 0.270242 + 0.196342i 0.714650 0.699482i \(-0.246586\pi\)
−0.444408 + 0.895824i \(0.646586\pi\)
\(348\) −272.722 + 839.351i −0.0420098 + 0.129293i
\(349\) −11809.8 −1.81136 −0.905679 0.423963i \(-0.860639\pi\)
−0.905679 + 0.423963i \(0.860639\pi\)
\(350\) 1639.43 + 285.034i 0.250374 + 0.0435306i
\(351\) −399.813 −0.0607989
\(352\) 1148.68 3535.27i 0.173934 0.535314i
\(353\) −6688.84 4859.73i −1.00853 0.732740i −0.0446296 0.999004i \(-0.514211\pi\)
−0.963900 + 0.266264i \(0.914211\pi\)
\(354\) 2409.64 + 1750.71i 0.361782 + 0.262850i
\(355\) −931.987 4014.97i −0.139337 0.600260i
\(356\) 1713.34 1244.81i 0.255075 0.185323i
\(357\) −2505.51 −0.371444
\(358\) 2068.47 1502.83i 0.305369 0.221864i
\(359\) 1438.87 + 4428.39i 0.211534 + 0.651035i 0.999382 + 0.0351646i \(0.0111956\pi\)
−0.787847 + 0.615871i \(0.788804\pi\)
\(360\) 513.158 + 2210.67i 0.0751273 + 0.323646i
\(361\) 835.241 2570.61i 0.121773 0.374779i
\(362\) −2009.55 6184.77i −0.291768 0.897968i
\(363\) −845.437 2601.99i −0.122242 0.376223i
\(364\) 174.655 537.532i 0.0251494 0.0774020i
\(365\) −3892.53 + 2345.21i −0.558203 + 0.336311i
\(366\) −84.2629 259.335i −0.0120341 0.0370373i
\(367\) 420.366 305.413i 0.0597899 0.0434399i −0.557489 0.830184i \(-0.688235\pi\)
0.617279 + 0.786744i \(0.288235\pi\)
\(368\) −53.6947 −0.00760606
\(369\) −1306.71 + 949.378i −0.184348 + 0.133937i
\(370\) −3383.17 2933.85i −0.475359 0.412226i
\(371\) 3195.63 + 2321.76i 0.447194 + 0.324905i
\(372\) 2131.72 + 1548.79i 0.297109 + 0.215862i
\(373\) −1298.57 + 3996.59i −0.180261 + 0.554787i −0.999835 0.0181874i \(-0.994210\pi\)
0.819573 + 0.572974i \(0.194210\pi\)
\(374\) −3876.59 −0.535973
\(375\) 3908.74 1516.54i 0.538257 0.208836i
\(376\) −10762.0 −1.47608
\(377\) −270.231 + 831.686i −0.0369167 + 0.113618i
\(378\) −290.784 211.267i −0.0395669 0.0287471i
\(379\) −2309.87 1678.22i −0.313061 0.227452i 0.420148 0.907456i \(-0.361978\pi\)
−0.733209 + 0.680004i \(0.761978\pi\)
\(380\) −4114.47 3568.02i −0.555441 0.481673i
\(381\) −4038.27 + 2933.97i −0.543010 + 0.394520i
\(382\) 6869.26 0.920057
\(383\) 4657.39 3383.79i 0.621362 0.451446i −0.232035 0.972707i \(-0.574538\pi\)
0.853397 + 0.521261i \(0.174538\pi\)
\(384\) −847.177 2607.34i −0.112584 0.346498i
\(385\) 1502.05 904.967i 0.198835 0.119796i
\(386\) −2544.44 + 7830.97i −0.335514 + 1.03261i
\(387\) −1133.21 3487.65i −0.148848 0.458107i
\(388\) −909.243 2798.36i −0.118969 0.366148i
\(389\) 3397.36 10456.0i 0.442809 1.36283i −0.442059 0.896986i \(-0.645752\pi\)
0.884868 0.465841i \(-0.154248\pi\)
\(390\) 195.119 + 840.566i 0.0253340 + 0.109138i
\(391\) 2713.87 + 8352.42i 0.351013 + 1.08031i
\(392\) −5187.34 + 3768.82i −0.668368 + 0.485597i
\(393\) −6845.21 −0.878613
\(394\) 2688.31 1953.17i 0.343744 0.249744i
\(395\) 1655.25 + 7130.74i 0.210847 + 0.908320i
\(396\) 742.475 + 539.439i 0.0942191 + 0.0684542i
\(397\) 132.471 + 96.2459i 0.0167469 + 0.0121674i 0.596127 0.802890i \(-0.296705\pi\)
−0.579380 + 0.815057i \(0.696705\pi\)
\(398\) −1767.33 + 5439.27i −0.222583 + 0.685040i
\(399\) 2247.72 0.282022
\(400\) −74.7848 + 36.6966i −0.00934809 + 0.00458708i
\(401\) 8096.74 1.00831 0.504154 0.863614i \(-0.331804\pi\)
0.504154 + 0.863614i \(0.331804\pi\)
\(402\) −888.783 + 2735.39i −0.110270 + 0.339376i
\(403\) 2112.25 + 1534.64i 0.261089 + 0.189692i
\(404\) −6180.34 4490.28i −0.761097 0.552970i
\(405\) −902.255 77.8500i −0.110700 0.00955159i
\(406\) −636.014 + 462.091i −0.0777459 + 0.0564857i
\(407\) −4719.16 −0.574743
\(408\) −5966.60 + 4334.99i −0.723996 + 0.526014i
\(409\) 1697.67 + 5224.90i 0.205243 + 0.631674i 0.999703 + 0.0243574i \(0.00775398\pi\)
−0.794460 + 0.607316i \(0.792246\pi\)
\(410\) 2633.68 + 2283.90i 0.317240 + 0.275107i
\(411\) 866.785 2667.69i 0.104028 0.320164i
\(412\) 1106.64 + 3405.88i 0.132330 + 0.407270i
\(413\) −1353.02 4164.18i −0.161206 0.496140i
\(414\) −389.318 + 1198.20i −0.0462173 + 0.142242i
\(415\) −4699.03 405.450i −0.555822 0.0479584i
\(416\) −830.932 2557.35i −0.0979322 0.301404i
\(417\) 6975.89 5068.28i 0.819211 0.595191i
\(418\) 3477.74 0.406942
\(419\) −9497.60 + 6900.41i −1.10737 + 0.804552i −0.982248 0.187590i \(-0.939933\pi\)
−0.125123 + 0.992141i \(0.539933\pi\)
\(420\) 498.808 1179.04i 0.0579508 0.136979i
\(421\) −6881.79 4999.91i −0.796670 0.578814i 0.113266 0.993565i \(-0.463869\pi\)
−0.909935 + 0.414750i \(0.863869\pi\)
\(422\) −1003.22 728.882i −0.115725 0.0840792i
\(423\) 1327.07 4084.31i 0.152540 0.469470i
\(424\) 11627.1 1.33175
\(425\) 9488.11 + 9778.31i 1.08292 + 1.11604i
\(426\) 1921.52 0.218539
\(427\) −123.870 + 381.232i −0.0140386 + 0.0432063i
\(428\) −3807.79 2766.52i −0.430039 0.312442i
\(429\) 735.694 + 534.513i 0.0827964 + 0.0601551i
\(430\) −6779.40 + 4084.52i −0.760307 + 0.458077i
\(431\) 12760.2 9270.84i 1.42607 1.03610i 0.435343 0.900265i \(-0.356627\pi\)
0.990731 0.135839i \(-0.0433729\pi\)
\(432\) 17.9935 0.00200396
\(433\) 4262.99 3097.25i 0.473133 0.343751i −0.325528 0.945532i \(-0.605542\pi\)
0.798661 + 0.601781i \(0.205542\pi\)
\(434\) 725.315 + 2232.29i 0.0802217 + 0.246897i
\(435\) −771.772 + 1824.24i −0.0850658 + 0.201071i
\(436\) −2266.44 + 6975.39i −0.248951 + 0.766194i
\(437\) −2434.64 7493.06i −0.266510 0.820232i
\(438\) −654.676 2014.88i −0.0714192 0.219806i
\(439\) 2120.97 6527.68i 0.230589 0.709679i −0.767087 0.641543i \(-0.778295\pi\)
0.997676 0.0681364i \(-0.0217053\pi\)
\(440\) 2011.20 4753.89i 0.217910 0.515075i
\(441\) −790.659 2433.40i −0.0853751 0.262758i
\(442\) −2268.69 + 1648.30i −0.244142 + 0.177379i
\(443\) 16108.2 1.72759 0.863795 0.503843i \(-0.168081\pi\)
0.863795 + 0.503843i \(0.168081\pi\)
\(444\) −2787.24 + 2025.05i −0.297920 + 0.216451i
\(445\) 4071.34 2452.94i 0.433708 0.261305i
\(446\) 6376.61 + 4632.88i 0.676998 + 0.491868i
\(447\) −5521.86 4011.87i −0.584285 0.424508i
\(448\) 734.378 2260.18i 0.0774466 0.238356i
\(449\) 12908.2 1.35674 0.678370 0.734720i \(-0.262687\pi\)
0.678370 + 0.734720i \(0.262687\pi\)
\(450\) 276.653 + 1934.89i 0.0289812 + 0.202693i
\(451\) 3673.70 0.383565
\(452\) 1262.66 3886.07i 0.131395 0.404392i
\(453\) −5815.47 4225.19i −0.603167 0.438227i
\(454\) −69.6469 50.6014i −0.00719976 0.00523093i
\(455\) 494.253 1168.27i 0.0509252 0.120372i
\(456\) 5352.71 3888.97i 0.549700 0.399381i
\(457\) 10742.8 1.09962 0.549812 0.835288i \(-0.314699\pi\)
0.549812 + 0.835288i \(0.314699\pi\)
\(458\) 3309.77 2404.69i 0.337676 0.245336i
\(459\) −909.435 2798.95i −0.0924810 0.284627i
\(460\) −4470.75 385.753i −0.453152 0.0390997i
\(461\) 4456.45 13715.5i 0.450233 1.38567i −0.426409 0.904531i \(-0.640222\pi\)
0.876642 0.481144i \(-0.159778\pi\)
\(462\) 252.626 + 777.503i 0.0254399 + 0.0782959i
\(463\) 3584.78 + 11032.8i 0.359825 + 1.10743i 0.953159 + 0.302471i \(0.0978116\pi\)
−0.593333 + 0.804957i \(0.702188\pi\)
\(464\) 12.1617 37.4298i 0.00121679 0.00374490i
\(465\) 4467.89 + 3874.51i 0.445578 + 0.386400i
\(466\) −1556.45 4790.26i −0.154723 0.476190i
\(467\) 2502.66 1818.29i 0.247986 0.180172i −0.456848 0.889545i \(-0.651022\pi\)
0.704834 + 0.709373i \(0.251022\pi\)
\(468\) 663.882 0.0655726
\(469\) 3420.58 2485.20i 0.336775 0.244682i
\(470\) −9234.49 796.787i −0.906288 0.0781979i
\(471\) −2190.23 1591.29i −0.214268 0.155675i
\(472\) −10426.9 7575.57i −1.01681 0.738758i
\(473\) −2577.46 + 7932.61i −0.250554 + 0.771125i
\(474\) −3412.69 −0.330696
\(475\) −8511.90 8772.24i −0.822216 0.847364i
\(476\) 4160.35 0.400608
\(477\) −1433.75 + 4412.64i −0.137625 + 0.423566i
\(478\) 1481.78 + 1076.58i 0.141789 + 0.103016i
\(479\) 14522.6 + 10551.3i 1.38529 + 1.00647i 0.996364 + 0.0852026i \(0.0271538\pi\)
0.388926 + 0.921269i \(0.372846\pi\)
\(480\) −1377.20 5932.95i −0.130959 0.564168i
\(481\) −2761.78 + 2006.55i −0.261801 + 0.190210i
\(482\) 11888.0 1.12341
\(483\) 1498.33 1088.60i 0.141152 0.102553i
\(484\) 1403.83 + 4320.56i 0.131840 + 0.405762i
\(485\) −1493.24 6432.81i −0.139803 0.602265i
\(486\) 130.463 401.524i 0.0121768 0.0374764i
\(487\) 5333.90 + 16416.0i 0.496308 + 1.52748i 0.814908 + 0.579590i \(0.196787\pi\)
−0.318600 + 0.947889i \(0.603213\pi\)
\(488\) 364.618 + 1122.18i 0.0338227 + 0.104096i
\(489\) −3734.40 + 11493.3i −0.345349 + 1.06287i
\(490\) −4730.12 + 2849.84i −0.436092 + 0.262741i
\(491\) 2530.77 + 7788.90i 0.232611 + 0.715903i 0.997429 + 0.0716569i \(0.0228287\pi\)
−0.764818 + 0.644246i \(0.777171\pi\)
\(492\) 2169.77 1576.43i 0.198822 0.144453i
\(493\) −6437.03 −0.588051
\(494\) 2035.27 1478.71i 0.185367 0.134677i
\(495\) 1556.16 + 1349.48i 0.141301 + 0.122535i
\(496\) −95.0614 69.0662i −0.00860561 0.00625234i
\(497\) −2285.23 1660.32i −0.206251 0.149850i
\(498\) 679.464 2091.18i 0.0611396 0.188168i
\(499\) −10653.8 −0.955767 −0.477884 0.878423i \(-0.658596\pi\)
−0.477884 + 0.878423i \(0.658596\pi\)
\(500\) −6490.39 + 2518.18i −0.580519 + 0.225233i
\(501\) −2946.94 −0.262793
\(502\) −3232.87 + 9949.75i −0.287430 + 0.884620i
\(503\) −4908.32 3566.11i −0.435092 0.316113i 0.348590 0.937275i \(-0.386661\pi\)
−0.783682 + 0.621163i \(0.786661\pi\)
\(504\) 1258.26 + 914.183i 0.111205 + 0.0807955i
\(505\) −12953.4 11233.1i −1.14143 0.989832i
\(506\) 2318.27 1684.32i 0.203675 0.147979i
\(507\) −5933.18 −0.519727
\(508\) 6705.48 4871.82i 0.585645 0.425496i
\(509\) −970.706 2987.53i −0.0845301 0.260157i 0.899854 0.436191i \(-0.143673\pi\)
−0.984384 + 0.176035i \(0.943673\pi\)
\(510\) −5440.69 + 3277.96i −0.472388 + 0.284609i
\(511\) −962.399 + 2961.96i −0.0833151 + 0.256417i
\(512\) 74.5533 + 229.452i 0.00643520 + 0.0198055i
\(513\) 815.865 + 2510.97i 0.0702170 + 0.216106i
\(514\) −289.634 + 891.401i −0.0248545 + 0.0764942i
\(515\) 1817.41 + 7829.34i 0.155504 + 0.669907i
\(516\) 1881.67 + 5791.18i 0.160535 + 0.494075i
\(517\) −7902.29 + 5741.35i −0.672229 + 0.488403i
\(518\) −3068.94 −0.260311
\(519\) −3070.46 + 2230.82i −0.259688 + 0.188675i
\(520\) −844.310 3637.26i −0.0712027 0.306739i
\(521\) −12579.0 9139.20i −1.05777 0.768514i −0.0840942 0.996458i \(-0.526800\pi\)
−0.973674 + 0.227944i \(0.926800\pi\)
\(522\) −747.067 542.776i −0.0626403 0.0455109i
\(523\) 6133.64 18877.4i 0.512821 1.57830i −0.274392 0.961618i \(-0.588477\pi\)
0.787213 0.616682i \(-0.211523\pi\)
\(524\) 11366.3 0.947598
\(525\) 1342.86 2540.19i 0.111633 0.211168i
\(526\) −1229.64 −0.101930
\(527\) −5938.86 + 18277.9i −0.490894 + 1.51082i
\(528\) −33.1097 24.0556i −0.00272901 0.00198274i
\(529\) 4591.38 + 3335.83i 0.377363 + 0.274170i
\(530\) 9976.85 + 860.840i 0.817673 + 0.0705519i
\(531\) 4160.77 3022.98i 0.340042 0.247055i
\(532\) −3732.30 −0.304165
\(533\) 2149.95 1562.03i 0.174718 0.126940i
\(534\) 684.751 + 2107.45i 0.0554908 + 0.170783i
\(535\) −7980.79 6920.86i −0.644934 0.559280i
\(536\) 3845.90 11836.5i 0.309921 0.953837i
\(537\) −1364.26 4198.76i −0.109631 0.337411i
\(538\) −1545.11 4755.37i −0.123819 0.381075i
\(539\) −1798.34 + 5534.73i −0.143711 + 0.442296i
\(540\) 1498.18 + 129.269i 0.119391 + 0.0103015i
\(541\) −4083.26 12567.0i −0.324498 0.998701i −0.971667 0.236355i \(-0.924047\pi\)
0.647169 0.762346i \(-0.275953\pi\)
\(542\) −5016.91 + 3645.00i −0.397592 + 0.288867i
\(543\) −11229.0 −0.887441
\(544\) 16013.0 11634.1i 1.26205 0.916930i
\(545\) −6413.77 + 15160.3i −0.504103 + 1.19155i
\(546\) 478.432 + 347.601i 0.0375000 + 0.0272453i
\(547\) 5357.76 + 3892.64i 0.418796 + 0.304273i 0.777153 0.629312i \(-0.216663\pi\)
−0.358357 + 0.933584i \(0.616663\pi\)
\(548\) −1439.28 + 4429.65i −0.112195 + 0.345302i
\(549\) −470.843 −0.0366031
\(550\) 2077.71 3930.25i 0.161080 0.304703i
\(551\) 5774.74 0.446483
\(552\) 1684.64 5184.78i 0.129897 0.399781i
\(553\) 4058.66 + 2948.79i 0.312101 + 0.226755i
\(554\) −9778.05 7104.17i −0.749873 0.544815i
\(555\) −6623.21 + 3990.42i −0.506558 + 0.305196i
\(556\) −11583.3 + 8415.79i −0.883531 + 0.641923i
\(557\) −15042.5 −1.14430 −0.572148 0.820150i \(-0.693890\pi\)
−0.572148 + 0.820150i \(0.693890\pi\)
\(558\) −2230.46 + 1620.53i −0.169217 + 0.122943i
\(559\) 1864.49 + 5738.30i 0.141072 + 0.434176i
\(560\) −22.2437 + 52.5777i −0.00167852 + 0.00396752i
\(561\) −2068.50 + 6366.18i −0.155672 + 0.479109i
\(562\) 1787.51 + 5501.40i 0.134167 + 0.412923i
\(563\) −1080.07 3324.10i −0.0808514 0.248835i 0.902458 0.430779i \(-0.141761\pi\)
−0.983309 + 0.181944i \(0.941761\pi\)
\(564\) −2203.58 + 6781.92i −0.164517 + 0.506330i
\(565\) 3573.19 8445.98i 0.266062 0.628894i
\(566\) −329.637 1014.52i −0.0244800 0.0753417i
\(567\) −502.102 + 364.798i −0.0371892 + 0.0270196i
\(568\) −8314.68 −0.614219
\(569\) −6041.21 + 4389.19i −0.445098 + 0.323382i −0.787657 0.616114i \(-0.788706\pi\)
0.342560 + 0.939496i \(0.388706\pi\)
\(570\) 4880.91 2940.70i 0.358664 0.216092i
\(571\) 12543.7 + 9113.52i 0.919329 + 0.667932i 0.943357 0.331779i \(-0.107649\pi\)
−0.0240276 + 0.999711i \(0.507649\pi\)
\(572\) −1221.61 887.550i −0.0892972 0.0648782i
\(573\) 3665.34 11280.7i 0.267228 0.822443i
\(574\) 2389.06 0.173724
\(575\) −9922.57 1725.16i −0.719652 0.125120i
\(576\) 2791.45 0.201928
\(577\) −7996.68 + 24611.3i −0.576961 + 1.77570i 0.0524431 + 0.998624i \(0.483299\pi\)
−0.629404 + 0.777078i \(0.716701\pi\)
\(578\) −9794.02 7115.77i −0.704806 0.512071i
\(579\) 11502.4 + 8356.99i 0.825603 + 0.599836i
\(580\) 1281.51 3029.12i 0.0917448 0.216858i
\(581\) −2614.99 + 1899.90i −0.186727 + 0.135665i
\(582\) 3078.66 0.219269
\(583\) 8537.55 6202.89i 0.606500 0.440648i
\(584\) 2832.88 + 8718.71i 0.200728 + 0.617779i
\(585\) 1484.50 + 128.088i 0.104917 + 0.00905263i
\(586\) −3486.78 + 10731.2i −0.245798 + 0.756488i
\(587\) −154.164 474.470i −0.0108399 0.0333619i 0.945490 0.325650i \(-0.105583\pi\)
−0.956330 + 0.292288i \(0.905583\pi\)
\(588\) 1312.88 + 4040.62i 0.0920784 + 0.283388i
\(589\) 5327.83 16397.4i 0.372715 1.14710i
\(590\) −8386.08 7272.32i −0.585169 0.507452i
\(591\) −1773.07 5456.95i −0.123408 0.379812i
\(592\) 124.293 90.3044i 0.00862910 0.00626941i
\(593\) 16095.6 1.11462 0.557309 0.830305i \(-0.311834\pi\)
0.557309 + 0.830305i \(0.311834\pi\)
\(594\) −776.867 + 564.427i −0.0536620 + 0.0389877i
\(595\) 9302.91 + 802.690i 0.640979 + 0.0553060i
\(596\) 9168.96 + 6661.64i 0.630160 + 0.457838i
\(597\) 7989.40 + 5804.64i 0.547712 + 0.397936i
\(598\) 640.553 1971.42i 0.0438029 0.134812i
\(599\) −998.977 −0.0681421 −0.0340710 0.999419i \(-0.510847\pi\)
−0.0340710 + 0.999419i \(0.510847\pi\)
\(600\) −1197.12 8372.58i −0.0814535 0.569682i
\(601\) −12876.3 −0.873937 −0.436968 0.899477i \(-0.643948\pi\)
−0.436968 + 0.899477i \(0.643948\pi\)
\(602\) −1676.16 + 5158.69i −0.113480 + 0.349256i
\(603\) 4017.84 + 2919.13i 0.271342 + 0.197141i
\(604\) 9656.49 + 7015.85i 0.650525 + 0.472634i
\(605\) 2305.49 + 9931.99i 0.154928 + 0.667426i
\(606\) 6466.62 4698.27i 0.433479 0.314941i
\(607\) −12236.9 −0.818254 −0.409127 0.912477i \(-0.634167\pi\)
−0.409127 + 0.912477i \(0.634167\pi\)
\(608\) −14365.5 + 10437.1i −0.958219 + 0.696187i
\(609\) 419.482 + 1291.03i 0.0279118 + 0.0859036i
\(610\) 229.784 + 989.900i 0.0152519 + 0.0657048i
\(611\) −2183.46 + 6719.99i −0.144572 + 0.444945i
\(612\) 1510.10 + 4647.61i 0.0997422 + 0.306975i
\(613\) −568.508 1749.69i −0.0374581 0.115284i 0.930579 0.366091i \(-0.119304\pi\)
−0.968037 + 0.250807i \(0.919304\pi\)
\(614\) −519.420 + 1598.61i −0.0341402 + 0.105073i
\(615\) 5155.94 3106.40i 0.338061 0.203678i
\(616\) −1093.15 3364.37i −0.0715005 0.220056i
\(617\) 2800.27 2034.52i 0.182714 0.132750i −0.492669 0.870217i \(-0.663978\pi\)
0.675383 + 0.737467i \(0.263978\pi\)
\(618\) −3747.03 −0.243896
\(619\) 3963.98 2880.00i 0.257392 0.187007i −0.451604 0.892218i \(-0.649148\pi\)
0.708997 + 0.705212i \(0.249148\pi\)
\(620\) −7418.86 6433.56i −0.480562 0.416738i
\(621\) 1759.96 + 1278.68i 0.113727 + 0.0826277i
\(622\) 2151.01 + 1562.80i 0.138662 + 0.100744i
\(623\) 1006.61 3098.03i 0.0647335 0.199229i
\(624\) −29.6050 −0.00189928
\(625\) −14998.9 + 4378.63i −0.959932 + 0.280232i
\(626\) 13870.7 0.885599
\(627\) 1855.67 5711.17i 0.118195 0.363768i
\(628\) 3636.84 + 2642.32i 0.231092 + 0.167898i
\(629\) −20329.3 14770.1i −1.28868 0.936283i
\(630\) 1011.99 + 877.588i 0.0639979 + 0.0554983i
\(631\) 1722.59 1251.53i 0.108677 0.0789585i −0.532119 0.846669i \(-0.678604\pi\)
0.640796 + 0.767711i \(0.278604\pi\)
\(632\) 14767.2 0.929443
\(633\) −1732.28 + 1258.58i −0.108771 + 0.0790267i
\(634\) −2835.32 8726.22i −0.177610 0.546628i
\(635\) 15934.0 9600.06i 0.995781 0.599948i
\(636\) 2380.72 7327.12i 0.148431 0.456822i
\(637\) 1300.89 + 4003.72i 0.0809152 + 0.249032i
\(638\) 649.034 + 1997.52i 0.0402751 + 0.123954i
\(639\) 1025.29 3155.53i 0.0634741 0.195353i
\(640\) 2310.24 + 9952.43i 0.142688 + 0.614695i
\(641\) −6426.91 19780.0i −0.396018 1.21882i −0.928166 0.372168i \(-0.878615\pi\)
0.532147 0.846652i \(-0.321385\pi\)
\(642\) 3984.17 2894.67i 0.244927 0.177950i
\(643\) 6395.45 0.392243 0.196121 0.980580i \(-0.437165\pi\)
0.196121 + 0.980580i \(0.437165\pi\)
\(644\) −2487.96 + 1807.61i −0.152235 + 0.110605i
\(645\) 3090.24 + 13312.6i 0.188648 + 0.812689i
\(646\) 14981.5 + 10884.7i 0.912442 + 0.662928i
\(647\) −8061.60 5857.10i −0.489852 0.355898i 0.315275 0.949000i \(-0.397903\pi\)
−0.805127 + 0.593102i \(0.797903\pi\)
\(648\) −564.534 + 1737.46i −0.0342237 + 0.105330i
\(649\) −11697.7 −0.707510
\(650\) −455.182 3183.52i −0.0274672 0.192105i
\(651\) 4052.90 0.244003
\(652\) 6200.91 19084.5i 0.372464 1.14633i
\(653\) −23970.3 17415.5i −1.43650 1.04368i −0.988760 0.149509i \(-0.952231\pi\)
−0.447735 0.894166i \(-0.647769\pi\)
\(654\) −6208.47 4510.72i −0.371208 0.269699i
\(655\) 25416.1 + 2193.00i 1.51617 + 0.130821i
\(656\) −96.7580 + 70.2988i −0.00575879 + 0.00418400i
\(657\) −3658.19 −0.217229
\(658\) −5138.96 + 3733.68i −0.304465 + 0.221206i
\(659\) 5778.07 + 17783.1i 0.341550 + 1.05118i 0.963405 + 0.268051i \(0.0863795\pi\)
−0.621855 + 0.783133i \(0.713621\pi\)
\(660\) −2583.98 2240.80i −0.152396 0.132156i
\(661\) 5122.48 15765.4i 0.301424 0.927689i −0.679563 0.733617i \(-0.737831\pi\)
0.980987 0.194072i \(-0.0621695\pi\)
\(662\) −1118.12 3441.21i −0.0656447 0.202034i
\(663\) 1496.31 + 4605.17i 0.0876499 + 0.269759i
\(664\) −2940.14 + 9048.83i −0.171837 + 0.528860i
\(665\) −8345.76 720.103i −0.486668 0.0419916i
\(666\) −1113.94 3428.37i −0.0648115 0.199469i
\(667\) 3849.45 2796.79i 0.223465 0.162357i
\(668\) 4893.34 0.283427
\(669\) 11010.6 7999.69i 0.636316 0.462310i
\(670\) 4176.38 9871.73i 0.240817 0.569221i
\(671\) 866.397 + 629.474i 0.0498463 + 0.0362155i
\(672\) −3376.90 2453.46i −0.193850 0.140840i
\(673\) −2747.00 + 8454.40i −0.157339 + 0.484240i −0.998390 0.0567156i \(-0.981937\pi\)
0.841051 + 0.540955i \(0.181937\pi\)
\(674\) 12030.7 0.687542
\(675\) 3325.12 + 578.111i 0.189606 + 0.0329652i
\(676\) 9851.95 0.560534
\(677\) 7046.62 21687.3i 0.400035 1.23118i −0.524935 0.851142i \(-0.675911\pi\)
0.924970 0.380039i \(-0.124089\pi\)
\(678\) 3458.81 + 2512.97i 0.195922 + 0.142345i
\(679\) −3661.41 2660.17i −0.206940 0.150351i
\(680\) 23542.7 14184.2i 1.32768 0.799912i
\(681\) −120.261 + 87.3745i −0.00676711 + 0.00491659i
\(682\) 6270.77 0.352082
\(683\) 6148.10 4466.86i 0.344437 0.250248i −0.402094 0.915598i \(-0.631718\pi\)
0.746532 + 0.665350i \(0.231718\pi\)
\(684\) −1354.73 4169.43i −0.0757301 0.233073i
\(685\) −4073.01 + 9627.40i −0.227185 + 0.536999i
\(686\) −2580.48 + 7941.90i −0.143620 + 0.442016i
\(687\) −2182.96 6718.45i −0.121230 0.373107i
\(688\) −83.9107 258.251i −0.00464981 0.0143106i
\(689\) 2358.98 7260.21i 0.130436 0.401440i
\(690\) 1829.40 4324.17i 0.100933 0.238577i
\(691\) −3900.42 12004.2i −0.214731 0.660873i −0.999173 0.0406706i \(-0.987051\pi\)
0.784442 0.620202i \(-0.212949\pi\)
\(692\) 5098.45 3704.24i 0.280078 0.203488i
\(693\) 1411.62 0.0773780
\(694\) 3034.91 2204.99i 0.165999 0.120606i
\(695\) −27525.1 + 16583.6i −1.50228 + 0.905109i
\(696\) 3232.67 + 2348.67i 0.176055 + 0.127911i
\(697\) 15825.6 + 11498.0i 0.860027 + 0.624846i
\(698\) −6340.51 + 19514.1i −0.343828 + 1.05819i
\(699\) −8697.11 −0.470608
\(700\) −2229.80 + 4217.94i −0.120398 + 0.227747i
\(701\) −4783.64 −0.257740 −0.128870 0.991662i \(-0.541135\pi\)
−0.128870 + 0.991662i \(0.541135\pi\)
\(702\) −214.654 + 660.636i −0.0115407 + 0.0355187i
\(703\) 18237.7 + 13250.4i 0.978444 + 0.710881i
\(704\) −5136.55 3731.92i −0.274987 0.199790i
\(705\) −6235.88 + 14739.8i −0.333130 + 0.787423i
\(706\) −11621.2 + 8443.28i −0.619502 + 0.450095i
\(707\) −11750.3 −0.625056
\(708\) −6908.89 + 5019.61i −0.366740 + 0.266452i
\(709\) −10275.2 31623.9i −0.544280 1.67512i −0.722695 0.691167i \(-0.757097\pi\)
0.178414 0.983955i \(-0.442903\pi\)
\(710\) −7134.55 615.596i −0.377120 0.0325393i
\(711\) −1820.96 + 5604.34i −0.0960497 + 0.295611i
\(712\) −2963.02 9119.24i −0.155960 0.479997i
\(713\) −4389.94 13510.9i −0.230581 0.709657i
\(714\) −1345.17 + 4140.01i −0.0705067 + 0.216997i
\(715\) −2560.38 2220.33i −0.133920 0.116134i
\(716\) 2265.33 + 6971.96i 0.118239 + 0.363903i
\(717\) 2558.63 1858.95i 0.133269 0.0968254i
\(718\) 8089.82 0.420487
\(719\) −10054.9 + 7305.29i −0.521534 + 0.378917i −0.817182 0.576380i \(-0.804465\pi\)
0.295647 + 0.955297i \(0.404465\pi\)
\(720\) −66.8094 5.76457i −0.00345811 0.000298379i
\(721\) 4456.29 + 3237.69i 0.230182 + 0.167237i
\(722\) −3799.15 2760.24i −0.195831 0.142279i
\(723\) 6343.25 19522.5i 0.326291 1.00422i
\(724\) 18645.5 0.957119
\(725\) 3450.01 6526.13i 0.176731 0.334310i
\(726\) −4753.33 −0.242993
\(727\) 2713.82 8352.28i 0.138446 0.426092i −0.857664 0.514210i \(-0.828085\pi\)
0.996110 + 0.0881178i \(0.0280852\pi\)
\(728\) −2070.25 1504.12i −0.105396 0.0765748i
\(729\) −589.773 428.495i −0.0299636 0.0217698i
\(730\) 1785.29 + 7690.97i 0.0905159 + 0.389939i
\(731\) −35930.8 + 26105.3i −1.81799 + 1.32085i
\(732\) 781.827 0.0394770
\(733\) −21102.6 + 15331.9i −1.06336 + 0.772576i −0.974707 0.223486i \(-0.928256\pi\)
−0.0886528 + 0.996063i \(0.528256\pi\)
\(734\) −278.966 858.569i −0.0140284 0.0431749i
\(735\) 2156.12 + 9288.47i 0.108203 + 0.466137i
\(736\) −4521.20 + 13914.8i −0.226431 + 0.696884i
\(737\) −3490.61 10743.0i −0.174462 0.536937i
\(738\) 867.166 + 2668.86i 0.0432531 + 0.133120i
\(739\) −7226.40 + 22240.6i −0.359712 + 1.10708i 0.593514 + 0.804824i \(0.297740\pi\)
−0.953226 + 0.302257i \(0.902260\pi\)
\(740\) 10997.7 6626.02i 0.546331 0.329158i
\(741\) −1342.36 4131.35i −0.0665489 0.204817i
\(742\) 5552.08 4033.83i 0.274695 0.199577i
\(743\) 26389.6 1.30302 0.651508 0.758642i \(-0.274137\pi\)
0.651508 + 0.758642i \(0.274137\pi\)
\(744\) 9651.55 7012.26i 0.475595 0.345540i
\(745\) 19217.3 + 16665.0i 0.945057 + 0.819544i
\(746\) 5906.63 + 4291.42i 0.289889 + 0.210617i
\(747\) −3071.59 2231.64i −0.150447 0.109306i
\(748\) 3434.70 10570.9i 0.167895 0.516726i
\(749\) −7239.52 −0.353172
\(750\) −407.324 7272.86i −0.0198312 0.354090i
\(751\) 17725.3 0.861257 0.430629 0.902529i \(-0.358292\pi\)
0.430629 + 0.902529i \(0.358292\pi\)
\(752\) 98.2659 302.431i 0.00476514 0.0146656i
\(753\) 14614.6 + 10618.1i 0.707283 + 0.513871i
\(754\) 1229.16 + 893.040i 0.0593681 + 0.0431334i
\(755\) 20239.1 + 17551.2i 0.975599 + 0.846029i
\(756\) 833.732 605.742i 0.0401092 0.0291410i
\(757\) −4478.94 −0.215046 −0.107523 0.994203i \(-0.534292\pi\)
−0.107523 + 0.994203i \(0.534292\pi\)
\(758\) −4013.16 + 2915.73i −0.192302 + 0.139715i
\(759\) −1529.01 4705.81i −0.0731219 0.225046i
\(760\) −21120.4 + 12724.8i −1.00805 + 0.607340i
\(761\) 422.762 1301.13i 0.0201381 0.0619787i −0.940482 0.339842i \(-0.889626\pi\)
0.960621 + 0.277864i \(0.0896263\pi\)
\(762\) 2679.90 + 8247.90i 0.127405 + 0.392113i
\(763\) 3486.08 + 10729.1i 0.165406 + 0.509067i
\(764\) −6086.23 + 18731.5i −0.288210 + 0.887018i
\(765\) 2480.02 + 10683.8i 0.117209 + 0.504934i
\(766\) −3090.77 9512.42i −0.145789 0.448691i
\(767\) −6845.80 + 4973.77i −0.322279 + 0.234149i
\(768\) −12207.0 −0.573544
\(769\) −13373.6 + 9716.46i −0.627130 + 0.455637i −0.855405 0.517960i \(-0.826692\pi\)
0.228275 + 0.973597i \(0.426692\pi\)
\(770\) &minu