Properties

Label 74.4.f.b.7.4
Level $74$
Weight $4$
Character 74.7
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.4
Character \(\chi\) \(=\) 74.7
Dual form 74.4.f.b.53.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87939 + 0.684040i) q^{2} +(6.42413 + 2.33819i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-3.55870 - 20.1824i) q^{5} -13.6728 q^{6} +(-4.31979 - 24.4987i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(15.1191 + 12.6865i) q^{9} +O(q^{10})\) \(q+(-1.87939 + 0.684040i) q^{2} +(6.42413 + 2.33819i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-3.55870 - 20.1824i) q^{5} -13.6728 q^{6} +(-4.31979 - 24.4987i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(15.1191 + 12.6865i) q^{9} +(20.4938 + 35.4962i) q^{10} +(-11.5152 + 19.9449i) q^{11} +(25.6965 - 9.35277i) q^{12} +(11.6065 - 9.73897i) q^{13} +(24.8767 + 43.0877i) q^{14} +(24.3288 - 137.975i) q^{15} +(2.77837 - 15.7569i) q^{16} +(-22.3514 - 18.7550i) q^{17} +(-37.0927 - 13.5006i) q^{18} +(145.227 + 52.8583i) q^{19} +(-62.7965 - 52.6925i) q^{20} +(29.5319 - 167.484i) q^{21} +(7.99836 - 45.3610i) q^{22} +(91.8331 + 159.060i) q^{23} +(-41.8960 + 35.1549i) q^{24} +(-277.204 + 100.894i) q^{25} +(-15.1511 + 26.2426i) q^{26} +(-24.8277 - 43.0029i) q^{27} +(-76.2266 - 63.9617i) q^{28} +(-24.9419 + 43.2007i) q^{29} +(48.6576 + 275.951i) q^{30} +171.742 q^{31} +(5.55674 + 31.5138i) q^{32} +(-120.610 + 101.204i) q^{33} +(54.8361 + 19.9587i) q^{34} +(-479.071 + 174.368i) q^{35} +78.9465 q^{36} +(222.482 + 33.9799i) q^{37} -309.094 q^{38} +(97.3330 - 35.4263i) q^{39} +(154.063 + 56.0742i) q^{40} +(-50.7025 + 42.5445i) q^{41} +(59.0638 + 334.967i) q^{42} -22.3507 q^{43} +(15.9967 + 90.7220i) q^{44} +(202.239 - 350.288i) q^{45} +(-281.393 - 236.117i) q^{46} +(-242.360 - 419.780i) q^{47} +(54.6914 - 94.7282i) q^{48} +(-259.214 + 94.3460i) q^{49} +(451.957 - 379.237i) q^{50} +(-99.7354 - 172.747i) q^{51} +(10.5239 - 59.6839i) q^{52} +(-0.712563 + 4.04115i) q^{53} +(76.0766 + 63.8358i) q^{54} +(443.515 + 161.426i) q^{55} +(187.011 + 68.0666i) q^{56} +(809.364 + 679.137i) q^{57} +(17.3245 - 98.2520i) q^{58} +(45.6270 - 258.764i) q^{59} +(-280.208 - 485.334i) q^{60} +(137.758 - 115.593i) q^{61} +(-322.769 + 117.478i) q^{62} +(245.491 - 425.203i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(-237.860 - 199.588i) q^{65} +(157.445 - 272.703i) q^{66} +(65.9225 + 373.865i) q^{67} -116.711 q^{68} +(218.036 + 1236.54i) q^{69} +(781.084 - 655.408i) q^{70} +(-896.955 - 326.465i) q^{71} +(-148.371 + 54.0026i) q^{72} +733.867 q^{73} +(-441.374 + 88.3256i) q^{74} -2016.70 q^{75} +(580.907 - 211.433i) q^{76} +(538.368 + 195.950i) q^{77} +(-158.693 + 133.159i) q^{78} +(93.2873 + 529.058i) q^{79} -327.900 q^{80} +(-151.483 - 859.101i) q^{81} +(66.1874 - 114.640i) q^{82} +(574.713 + 482.241i) q^{83} +(-340.135 - 589.131i) q^{84} +(-298.980 + 517.849i) q^{85} +(42.0056 - 15.2888i) q^{86} +(-261.242 + 219.208i) q^{87} +(-92.1215 - 159.559i) q^{88} +(-124.766 + 707.585i) q^{89} +(-140.474 + 796.665i) q^{90} +(-288.730 - 242.273i) q^{91} +(690.359 + 251.270i) q^{92} +(1103.29 + 401.566i) q^{93} +(742.634 + 623.144i) q^{94} +(549.988 - 3119.13i) q^{95} +(-37.9882 + 215.442i) q^{96} +(-189.655 - 328.493i) q^{97} +(422.626 - 354.625i) q^{98} +(-427.130 + 155.462i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + O(q^{10}) \) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87939 + 0.684040i −0.664463 + 0.241845i
\(3\) 6.42413 + 2.33819i 1.23632 + 0.449985i 0.875759 0.482748i \(-0.160361\pi\)
0.360566 + 0.932734i \(0.382584\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) −3.55870 20.1824i −0.318300 1.80517i −0.553088 0.833123i \(-0.686551\pi\)
0.234788 0.972047i \(-0.424560\pi\)
\(6\) −13.6728 −0.930319
\(7\) −4.31979 24.4987i −0.233247 1.32281i −0.846275 0.532747i \(-0.821160\pi\)
0.613028 0.790061i \(-0.289951\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) 15.1191 + 12.6865i 0.559968 + 0.469869i
\(10\) 20.4938 + 35.4962i 0.648069 + 1.12249i
\(11\) −11.5152 + 19.9449i −0.315633 + 0.546692i −0.979572 0.201095i \(-0.935550\pi\)
0.663939 + 0.747787i \(0.268883\pi\)
\(12\) 25.6965 9.35277i 0.618162 0.224993i
\(13\) 11.6065 9.73897i 0.247619 0.207777i −0.510527 0.859862i \(-0.670550\pi\)
0.758146 + 0.652084i \(0.226105\pi\)
\(14\) 24.8767 + 43.0877i 0.474898 + 0.822548i
\(15\) 24.3288 137.975i 0.418778 2.37501i
\(16\) 2.77837 15.7569i 0.0434120 0.246202i
\(17\) −22.3514 18.7550i −0.318883 0.267575i 0.469269 0.883055i \(-0.344517\pi\)
−0.788152 + 0.615481i \(0.788962\pi\)
\(18\) −37.0927 13.5006i −0.485713 0.176785i
\(19\) 145.227 + 52.8583i 1.75354 + 0.638238i 0.999820 0.0189544i \(-0.00603373\pi\)
0.753723 + 0.657192i \(0.228256\pi\)
\(20\) −62.7965 52.6925i −0.702086 0.589120i
\(21\) 29.5319 167.484i 0.306876 1.74038i
\(22\) 7.99836 45.3610i 0.0775117 0.439591i
\(23\) 91.8331 + 159.060i 0.832545 + 1.44201i 0.896014 + 0.444026i \(0.146450\pi\)
−0.0634687 + 0.997984i \(0.520216\pi\)
\(24\) −41.8960 + 35.1549i −0.356333 + 0.298999i
\(25\) −277.204 + 100.894i −2.21763 + 0.807151i
\(26\) −15.1511 + 26.2426i −0.114284 + 0.197946i
\(27\) −24.8277 43.0029i −0.176967 0.306515i
\(28\) −76.2266 63.9617i −0.514481 0.431701i
\(29\) −24.9419 + 43.2007i −0.159710 + 0.276626i −0.934764 0.355269i \(-0.884389\pi\)
0.775054 + 0.631895i \(0.217723\pi\)
\(30\) 48.6576 + 275.951i 0.296121 + 1.67938i
\(31\) 171.742 0.995024 0.497512 0.867457i \(-0.334247\pi\)
0.497512 + 0.867457i \(0.334247\pi\)
\(32\) 5.55674 + 31.5138i 0.0306970 + 0.174091i
\(33\) −120.610 + 101.204i −0.636228 + 0.533859i
\(34\) 54.8361 + 19.9587i 0.276597 + 0.100673i
\(35\) −479.071 + 174.368i −2.31365 + 0.842100i
\(36\) 78.9465 0.365493
\(37\) 222.482 + 33.9799i 0.988537 + 0.150980i
\(38\) −309.094 −1.31952
\(39\) 97.3330 35.4263i 0.399635 0.145455i
\(40\) 154.063 + 56.0742i 0.608986 + 0.221653i
\(41\) −50.7025 + 42.5445i −0.193132 + 0.162057i −0.734226 0.678905i \(-0.762455\pi\)
0.541094 + 0.840962i \(0.318010\pi\)
\(42\) 59.0638 + 334.967i 0.216994 + 1.23063i
\(43\) −22.3507 −0.0792662 −0.0396331 0.999214i \(-0.512619\pi\)
−0.0396331 + 0.999214i \(0.512619\pi\)
\(44\) 15.9967 + 90.7220i 0.0548090 + 0.310837i
\(45\) 202.239 350.288i 0.669955 1.16040i
\(46\) −281.393 236.117i −0.901938 0.756816i
\(47\) −242.360 419.780i −0.752166 1.30279i −0.946771 0.321909i \(-0.895676\pi\)
0.194604 0.980882i \(-0.437658\pi\)
\(48\) 54.6914 94.7282i 0.164459 0.284851i
\(49\) −259.214 + 94.3460i −0.755725 + 0.275061i
\(50\) 451.957 379.237i 1.27833 1.07264i
\(51\) −99.7354 172.747i −0.273838 0.474302i
\(52\) 10.5239 59.6839i 0.0280654 0.159167i
\(53\) −0.712563 + 4.04115i −0.00184676 + 0.0104735i −0.985717 0.168409i \(-0.946137\pi\)
0.983870 + 0.178882i \(0.0572482\pi\)
\(54\) 76.0766 + 63.8358i 0.191717 + 0.160870i
\(55\) 443.515 + 161.426i 1.08734 + 0.395758i
\(56\) 187.011 + 68.0666i 0.446258 + 0.162425i
\(57\) 809.364 + 679.137i 1.88075 + 1.57814i
\(58\) 17.3245 98.2520i 0.0392209 0.222433i
\(59\) 45.6270 258.764i 0.100680 0.570986i −0.892178 0.451684i \(-0.850823\pi\)
0.992858 0.119302i \(-0.0380656\pi\)
\(60\) −280.208 485.334i −0.602911 1.04427i
\(61\) 137.758 115.593i 0.289149 0.242625i −0.486662 0.873591i \(-0.661785\pi\)
0.775811 + 0.630965i \(0.217341\pi\)
\(62\) −322.769 + 117.478i −0.661157 + 0.240641i
\(63\) 245.491 425.203i 0.490936 0.850326i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) −237.860 199.588i −0.453890 0.380859i
\(66\) 157.445 272.703i 0.293639 0.508598i
\(67\) 65.9225 + 373.865i 0.120205 + 0.681715i 0.984041 + 0.177942i \(0.0569440\pi\)
−0.863836 + 0.503773i \(0.831945\pi\)
\(68\) −116.711 −0.208136
\(69\) 218.036 + 1236.54i 0.380412 + 2.15743i
\(70\) 781.084 655.408i 1.33368 1.11909i
\(71\) −896.955 326.465i −1.49928 0.545694i −0.543407 0.839469i \(-0.682866\pi\)
−0.955875 + 0.293775i \(0.905088\pi\)
\(72\) −148.371 + 54.0026i −0.242857 + 0.0883926i
\(73\) 733.867 1.17661 0.588306 0.808639i \(-0.299795\pi\)
0.588306 + 0.808639i \(0.299795\pi\)
\(74\) −441.374 + 88.3256i −0.693360 + 0.138752i
\(75\) −2016.70 −3.10492
\(76\) 580.907 211.433i 0.876772 0.319119i
\(77\) 538.368 + 195.950i 0.796789 + 0.290007i
\(78\) −158.693 + 133.159i −0.230365 + 0.193299i
\(79\) 93.2873 + 529.058i 0.132856 + 0.753465i 0.976329 + 0.216292i \(0.0693964\pi\)
−0.843472 + 0.537172i \(0.819492\pi\)
\(80\) −327.900 −0.458254
\(81\) −151.483 859.101i −0.207795 1.17847i
\(82\) 66.1874 114.640i 0.0891363 0.154389i
\(83\) 574.713 + 482.241i 0.760035 + 0.637745i 0.938136 0.346267i \(-0.112551\pi\)
−0.178101 + 0.984012i \(0.556995\pi\)
\(84\) −340.135 589.131i −0.441807 0.765231i
\(85\) −298.980 + 517.849i −0.381517 + 0.660807i
\(86\) 42.0056 15.2888i 0.0526695 0.0191701i
\(87\) −261.242 + 219.208i −0.321932 + 0.270133i
\(88\) −92.1215 159.559i −0.111593 0.193285i
\(89\) −124.766 + 707.585i −0.148598 + 0.842740i 0.815810 + 0.578320i \(0.196292\pi\)
−0.964408 + 0.264420i \(0.914820\pi\)
\(90\) −140.474 + 796.665i −0.164525 + 0.933066i
\(91\) −288.730 242.273i −0.332606 0.279089i
\(92\) 690.359 + 251.270i 0.782336 + 0.284747i
\(93\) 1103.29 + 401.566i 1.23017 + 0.447746i
\(94\) 742.634 + 623.144i 0.814860 + 0.683749i
\(95\) 549.988 3119.13i 0.593974 3.36859i
\(96\) −37.9882 + 215.442i −0.0403870 + 0.229046i
\(97\) −189.655 328.493i −0.198521 0.343849i 0.749528 0.661973i \(-0.230281\pi\)
−0.948049 + 0.318124i \(0.896947\pi\)
\(98\) 422.626 354.625i 0.435629 0.365536i
\(99\) −427.130 + 155.462i −0.433618 + 0.157824i
\(100\) −589.988 + 1021.89i −0.589988 + 1.02189i
\(101\) 632.541 + 1095.59i 0.623170 + 1.07936i 0.988892 + 0.148638i \(0.0474889\pi\)
−0.365722 + 0.930724i \(0.619178\pi\)
\(102\) 305.607 + 256.435i 0.296663 + 0.248930i
\(103\) 724.579 1255.01i 0.693155 1.20058i −0.277644 0.960684i \(-0.589554\pi\)
0.970799 0.239895i \(-0.0771130\pi\)
\(104\) 21.0478 + 119.368i 0.0198452 + 0.112548i
\(105\) −3485.32 −3.23936
\(106\) −1.42513 8.08230i −0.00130585 0.00740587i
\(107\) −527.377 + 442.522i −0.476481 + 0.399815i −0.849152 0.528149i \(-0.822886\pi\)
0.372671 + 0.927963i \(0.378442\pi\)
\(108\) −186.643 67.9327i −0.166294 0.0605261i
\(109\) −1164.29 + 423.768i −1.02311 + 0.372381i −0.798453 0.602057i \(-0.794348\pi\)
−0.224656 + 0.974438i \(0.572126\pi\)
\(110\) −943.958 −0.818207
\(111\) 1349.80 + 738.498i 1.15421 + 0.631487i
\(112\) −398.027 −0.335804
\(113\) −453.549 + 165.078i −0.377578 + 0.137427i −0.523835 0.851819i \(-0.675499\pi\)
0.146258 + 0.989247i \(0.453277\pi\)
\(114\) −1985.66 722.722i −1.63135 0.593764i
\(115\) 2883.40 2419.46i 2.33807 1.96188i
\(116\) 34.6489 + 196.504i 0.0277334 + 0.157284i
\(117\) 299.033 0.236287
\(118\) 91.2541 + 517.528i 0.0711917 + 0.403748i
\(119\) −362.922 + 628.599i −0.279571 + 0.484232i
\(120\) 858.607 + 720.456i 0.653164 + 0.548070i
\(121\) 400.301 + 693.342i 0.300752 + 0.520918i
\(122\) −179.830 + 311.475i −0.133451 + 0.231145i
\(123\) −425.197 + 154.759i −0.311697 + 0.113448i
\(124\) 526.248 441.574i 0.381116 0.319795i
\(125\) 1741.91 + 3017.07i 1.24641 + 2.15884i
\(126\) −170.516 + 967.045i −0.120562 + 0.683740i
\(127\) −185.271 + 1050.72i −0.129450 + 0.734146i 0.849115 + 0.528208i \(0.177136\pi\)
−0.978565 + 0.205938i \(0.933975\pi\)
\(128\) 98.0537 + 82.2768i 0.0677094 + 0.0568149i
\(129\) −143.584 52.2602i −0.0979988 0.0356687i
\(130\) 583.556 + 212.397i 0.393702 + 0.143296i
\(131\) 18.5419 + 15.5585i 0.0123665 + 0.0103768i 0.648950 0.760831i \(-0.275208\pi\)
−0.636583 + 0.771208i \(0.719653\pi\)
\(132\) −109.360 + 620.213i −0.0721106 + 0.408959i
\(133\) 667.612 3786.21i 0.435258 2.46847i
\(134\) −379.633 657.543i −0.244741 0.423903i
\(135\) −779.547 + 654.118i −0.496983 + 0.417019i
\(136\) 219.344 79.8348i 0.138299 0.0503366i
\(137\) −803.669 + 1391.99i −0.501183 + 0.868074i 0.498816 + 0.866708i \(0.333768\pi\)
−0.999999 + 0.00136632i \(0.999565\pi\)
\(138\) −1255.62 2174.80i −0.774532 1.34153i
\(139\) −661.453 555.025i −0.403624 0.338681i 0.418268 0.908323i \(-0.362637\pi\)
−0.821892 + 0.569643i \(0.807082\pi\)
\(140\) −1019.63 + 1766.06i −0.615534 + 1.06614i
\(141\) −575.426 3263.40i −0.343685 1.94914i
\(142\) 1909.04 1.12819
\(143\) 60.5922 + 343.635i 0.0354334 + 0.200953i
\(144\) 241.906 202.983i 0.139992 0.117467i
\(145\) 960.654 + 349.650i 0.550193 + 0.200254i
\(146\) −1379.22 + 501.995i −0.781815 + 0.284557i
\(147\) −1885.82 −1.05809
\(148\) 769.093 467.915i 0.427156 0.259881i
\(149\) 2025.24 1.11352 0.556760 0.830674i \(-0.312044\pi\)
0.556760 + 0.830674i \(0.312044\pi\)
\(150\) 3790.16 1379.51i 2.06310 0.750908i
\(151\) −1296.06 471.727i −0.698488 0.254229i −0.0317230 0.999497i \(-0.510099\pi\)
−0.666765 + 0.745268i \(0.732322\pi\)
\(152\) −947.120 + 794.728i −0.505405 + 0.424085i
\(153\) −99.9986 567.120i −0.0528393 0.299666i
\(154\) −1145.84 −0.599573
\(155\) −611.178 3466.16i −0.316716 1.79619i
\(156\) 207.159 358.810i 0.106321 0.184153i
\(157\) −2757.20 2313.56i −1.40158 1.17607i −0.960392 0.278651i \(-0.910113\pi\)
−0.441188 0.897414i \(-0.645443\pi\)
\(158\) −537.220 930.492i −0.270499 0.468519i
\(159\) −14.0266 + 24.2948i −0.00699610 + 0.0121176i
\(160\) 616.251 224.297i 0.304493 0.110826i
\(161\) 3500.06 2936.90i 1.71331 1.43764i
\(162\) 872.354 + 1510.96i 0.423078 + 0.732793i
\(163\) 91.2991 517.783i 0.0438718 0.248809i −0.954983 0.296662i \(-0.904127\pi\)
0.998854 + 0.0478525i \(0.0152378\pi\)
\(164\) −45.9733 + 260.728i −0.0218897 + 0.124143i
\(165\) 2471.75 + 2074.05i 1.16622 + 0.978572i
\(166\) −1409.98 513.191i −0.659251 0.239948i
\(167\) 629.933 + 229.277i 0.291890 + 0.106239i 0.483815 0.875170i \(-0.339251\pi\)
−0.191925 + 0.981410i \(0.561473\pi\)
\(168\) 1042.23 + 874.538i 0.478631 + 0.401619i
\(169\) −341.643 + 1937.55i −0.155504 + 0.881908i
\(170\) 207.669 1177.75i 0.0936913 0.531350i
\(171\) 1525.12 + 2641.59i 0.682040 + 1.18133i
\(172\) −68.4865 + 57.4670i −0.0303607 + 0.0254757i
\(173\) 1531.03 557.251i 0.672846 0.244896i 0.0170734 0.999854i \(-0.494565\pi\)
0.655773 + 0.754958i \(0.272343\pi\)
\(174\) 341.027 590.676i 0.148581 0.257351i
\(175\) 3669.24 + 6355.30i 1.58496 + 2.74523i
\(176\) 282.277 + 236.858i 0.120894 + 0.101442i
\(177\) 898.154 1555.65i 0.381409 0.660620i
\(178\) −249.533 1415.17i −0.105075 0.595907i
\(179\) −417.136 −0.174180 −0.0870900 0.996200i \(-0.527757\pi\)
−0.0870900 + 0.996200i \(0.527757\pi\)
\(180\) −280.947 1593.33i −0.116336 0.659777i
\(181\) −3503.27 + 2939.60i −1.43865 + 1.20717i −0.498287 + 0.867012i \(0.666037\pi\)
−0.940367 + 0.340161i \(0.889518\pi\)
\(182\) 708.360 + 257.822i 0.288501 + 0.105006i
\(183\) 1155.25 420.478i 0.466660 0.169851i
\(184\) −1469.33 −0.588698
\(185\) −105.953 4611.15i −0.0421071 1.83253i
\(186\) −2348.20 −0.925690
\(187\) 631.448 229.828i 0.246931 0.0898754i
\(188\) −1821.95 663.136i −0.706805 0.257256i
\(189\) −946.266 + 794.012i −0.364184 + 0.305587i
\(190\) 1099.98 + 6238.27i 0.420003 + 2.38196i
\(191\) −3975.24 −1.50596 −0.752980 0.658044i \(-0.771384\pi\)
−0.752980 + 0.658044i \(0.771384\pi\)
\(192\) −75.9764 430.884i −0.0285580 0.161960i
\(193\) −24.4803 + 42.4010i −0.00913019 + 0.0158140i −0.870554 0.492072i \(-0.836240\pi\)
0.861424 + 0.507886i \(0.169573\pi\)
\(194\) 581.138 + 487.632i 0.215068 + 0.180464i
\(195\) −1061.37 1838.34i −0.389775 0.675110i
\(196\) −551.699 + 955.570i −0.201056 + 0.348240i
\(197\) 107.560 39.1487i 0.0389002 0.0141585i −0.322497 0.946571i \(-0.604522\pi\)
0.361397 + 0.932412i \(0.382300\pi\)
\(198\) 696.399 584.348i 0.249954 0.209736i
\(199\) −700.441 1213.20i −0.249512 0.432168i 0.713878 0.700270i \(-0.246937\pi\)
−0.963391 + 0.268102i \(0.913604\pi\)
\(200\) 409.801 2324.10i 0.144887 0.821693i
\(201\) −450.674 + 2555.90i −0.158150 + 0.896911i
\(202\) −1938.22 1626.36i −0.675111 0.566486i
\(203\) 1166.11 + 424.428i 0.403175 + 0.146744i
\(204\) −749.765 272.892i −0.257324 0.0936582i
\(205\) 1039.08 + 871.896i 0.354014 + 0.297053i
\(206\) −503.287 + 2854.29i −0.170222 + 0.965376i
\(207\) −629.467 + 3569.88i −0.211357 + 1.19867i
\(208\) −121.209 209.940i −0.0404055 0.0699844i
\(209\) −2726.57 + 2287.86i −0.902395 + 0.757199i
\(210\) 6550.26 2384.10i 2.15243 0.783421i
\(211\) −1859.04 + 3219.96i −0.606549 + 1.05057i 0.385256 + 0.922810i \(0.374113\pi\)
−0.991805 + 0.127764i \(0.959220\pi\)
\(212\) 8.20698 + 14.2149i 0.00265876 + 0.00460511i
\(213\) −4998.82 4194.51i −1.60805 1.34931i
\(214\) 688.441 1192.42i 0.219911 0.380897i
\(215\) 79.5395 + 451.091i 0.0252304 + 0.143089i
\(216\) 397.244 0.125134
\(217\) −741.889 4207.46i −0.232086 1.31623i
\(218\) 1898.28 1592.85i 0.589760 0.494867i
\(219\) 4714.46 + 1715.92i 1.45467 + 0.529458i
\(220\) 1774.06 645.705i 0.543669 0.197879i
\(221\) −442.075 −0.134557
\(222\) −3041.96 464.601i −0.919654 0.140459i
\(223\) −654.397 −0.196510 −0.0982548 0.995161i \(-0.531326\pi\)
−0.0982548 + 0.995161i \(0.531326\pi\)
\(224\) 748.046 272.266i 0.223129 0.0812124i
\(225\) −5471.07 1991.31i −1.62106 0.590016i
\(226\) 739.473 620.491i 0.217650 0.182630i
\(227\) −604.325 3427.30i −0.176698 1.00210i −0.936166 0.351559i \(-0.885652\pi\)
0.759468 0.650545i \(-0.225460\pi\)
\(228\) 4226.20 1.22757
\(229\) 565.289 + 3205.91i 0.163124 + 0.925121i 0.950978 + 0.309259i \(0.100081\pi\)
−0.787854 + 0.615862i \(0.788808\pi\)
\(230\) −3764.01 + 6519.46i −1.07909 + 1.86905i
\(231\) 3000.38 + 2517.62i 0.854591 + 0.717087i
\(232\) −199.535 345.605i −0.0564661 0.0978022i
\(233\) 100.440 173.967i 0.0282405 0.0489140i −0.851560 0.524258i \(-0.824343\pi\)
0.879800 + 0.475344i \(0.157676\pi\)
\(234\) −561.997 + 204.550i −0.157004 + 0.0571448i
\(235\) −7609.68 + 6385.28i −2.11234 + 1.77247i
\(236\) −525.511 910.212i −0.144949 0.251058i
\(237\) −637.751 + 3616.86i −0.174795 + 0.991311i
\(238\) 252.083 1429.63i 0.0686559 0.389367i
\(239\) 5169.20 + 4337.47i 1.39903 + 1.17392i 0.961529 + 0.274704i \(0.0885800\pi\)
0.437499 + 0.899219i \(0.355864\pi\)
\(240\) −2106.47 766.694i −0.566551 0.206208i
\(241\) 1585.00 + 576.894i 0.423647 + 0.154195i 0.545041 0.838409i \(-0.316514\pi\)
−0.121394 + 0.992604i \(0.538736\pi\)
\(242\) −1226.59 1029.23i −0.325820 0.273395i
\(243\) 802.790 4552.85i 0.211930 1.20192i
\(244\) 124.909 708.394i 0.0327724 0.185862i
\(245\) 2826.59 + 4895.80i 0.737079 + 1.27666i
\(246\) 693.247 581.704i 0.179674 0.150764i
\(247\) 2200.35 800.863i 0.566822 0.206307i
\(248\) −686.967 + 1189.86i −0.175897 + 0.304663i
\(249\) 2564.46 + 4441.77i 0.652675 + 1.13047i
\(250\) −5337.51 4478.71i −1.35030 1.13303i
\(251\) 196.500 340.348i 0.0494142 0.0855879i −0.840260 0.542183i \(-0.817598\pi\)
0.889675 + 0.456595i \(0.150931\pi\)
\(252\) −341.032 1934.09i −0.0852501 0.483477i
\(253\) −4229.90 −1.05111
\(254\) −370.541 2101.44i −0.0915348 0.519120i
\(255\) −3131.52 + 2627.66i −0.769032 + 0.645295i
\(256\) −240.561 87.5572i −0.0587308 0.0213763i
\(257\) 4286.94 1560.32i 1.04051 0.378716i 0.235438 0.971889i \(-0.424347\pi\)
0.805075 + 0.593173i \(0.202125\pi\)
\(258\) 305.597 0.0737429
\(259\) −128.613 5597.32i −0.0308556 1.34286i
\(260\) −1242.02 −0.296256
\(261\) −925.164 + 336.732i −0.219411 + 0.0798590i
\(262\) −45.4901 16.5571i −0.0107267 0.00390419i
\(263\) 4387.91 3681.90i 1.02878 0.863253i 0.0380789 0.999275i \(-0.487876\pi\)
0.990706 + 0.136022i \(0.0434317\pi\)
\(264\) −218.721 1240.43i −0.0509899 0.289178i
\(265\) 84.0959 0.0194942
\(266\) 1335.22 + 7572.43i 0.307774 + 1.74547i
\(267\) −2455.99 + 4253.89i −0.562936 + 0.975034i
\(268\) 1163.26 + 976.093i 0.265140 + 0.222479i
\(269\) −3298.95 5713.95i −0.747734 1.29511i −0.948906 0.315558i \(-0.897808\pi\)
0.201172 0.979556i \(-0.435525\pi\)
\(270\) 1017.63 1762.58i 0.229373 0.397286i
\(271\) 5571.80 2027.97i 1.24894 0.454577i 0.368897 0.929470i \(-0.379735\pi\)
0.880044 + 0.474893i \(0.157513\pi\)
\(272\) −357.622 + 300.081i −0.0797207 + 0.0668936i
\(273\) −1288.36 2231.50i −0.285623 0.494713i
\(274\) 558.222 3165.84i 0.123078 0.698012i
\(275\) 1179.73 6690.61i 0.258693 1.46712i
\(276\) 3847.44 + 3228.39i 0.839090 + 0.704080i
\(277\) −1092.85 397.765i −0.237050 0.0862793i 0.220763 0.975327i \(-0.429145\pi\)
−0.457814 + 0.889048i \(0.651367\pi\)
\(278\) 1622.79 + 590.646i 0.350101 + 0.127426i
\(279\) 2596.59 + 2178.80i 0.557182 + 0.467531i
\(280\) 708.230 4016.57i 0.151160 0.857271i
\(281\) −995.979 + 5648.48i −0.211442 + 1.19915i 0.675534 + 0.737329i \(0.263913\pi\)
−0.886975 + 0.461817i \(0.847198\pi\)
\(282\) 3313.75 + 5739.58i 0.699755 + 1.21201i
\(283\) 2286.76 1918.82i 0.480332 0.403047i −0.370214 0.928946i \(-0.620716\pi\)
0.850547 + 0.525900i \(0.176271\pi\)
\(284\) −3587.82 + 1305.86i −0.749641 + 0.272847i
\(285\) 10826.3 18751.8i 2.25016 3.89740i
\(286\) −348.937 604.376i −0.0721435 0.124956i
\(287\) 1261.31 + 1058.37i 0.259417 + 0.217677i
\(288\) −315.786 + 546.957i −0.0646107 + 0.111909i
\(289\) −705.300 3999.96i −0.143558 0.814158i
\(290\) −2044.61 −0.414013
\(291\) −450.292 2553.73i −0.0907099 0.514441i
\(292\) 2248.70 1886.88i 0.450668 0.378156i
\(293\) −1420.72 517.101i −0.283275 0.103104i 0.196475 0.980509i \(-0.437050\pi\)
−0.479750 + 0.877405i \(0.659273\pi\)
\(294\) 3544.18 1289.98i 0.703065 0.255895i
\(295\) −5384.85 −1.06277
\(296\) −1125.35 + 1405.48i −0.220978 + 0.275987i
\(297\) 1143.58 0.223426
\(298\) −3806.21 + 1385.35i −0.739892 + 0.269299i
\(299\) 2614.93 + 951.758i 0.505771 + 0.184086i
\(300\) −6179.54 + 5185.25i −1.18925 + 0.997901i
\(301\) 96.5503 + 547.564i 0.0184886 + 0.104854i
\(302\) 2758.47 0.525604
\(303\) 1501.82 + 8517.24i 0.284743 + 1.61486i
\(304\) 1236.38 2141.47i 0.233260 0.404019i
\(305\) −2823.18 2368.93i −0.530016 0.444736i
\(306\) 575.869 + 997.434i 0.107582 + 0.186338i
\(307\) 3040.82 5266.85i 0.565305 0.979136i −0.431717 0.902009i \(-0.642092\pi\)
0.997021 0.0771269i \(-0.0245747\pi\)
\(308\) 2153.47 783.800i 0.398394 0.145004i
\(309\) 7589.24 6368.13i 1.39721 1.17240i
\(310\) 3519.64 + 6096.19i 0.644845 + 1.11690i
\(311\) 541.963 3073.62i 0.0988164 0.560415i −0.894695 0.446678i \(-0.852607\pi\)
0.993511 0.113737i \(-0.0362821\pi\)
\(312\) −143.891 + 816.048i −0.0261097 + 0.148076i
\(313\) 2190.67 + 1838.19i 0.395604 + 0.331951i 0.818792 0.574091i \(-0.194644\pi\)
−0.423188 + 0.906042i \(0.639089\pi\)
\(314\) 6764.40 + 2462.04i 1.21572 + 0.442487i
\(315\) −9455.24 3441.43i −1.69125 0.615563i
\(316\) 1646.14 + 1381.27i 0.293046 + 0.245895i
\(317\) −256.315 + 1453.63i −0.0454135 + 0.257553i −0.999059 0.0433809i \(-0.986187\pi\)
0.953645 + 0.300933i \(0.0972982\pi\)
\(318\) 9.74276 55.2540i 0.00171807 0.00974367i
\(319\) −574.422 994.927i −0.100820 0.174625i
\(320\) −1004.74 + 843.080i −0.175522 + 0.147280i
\(321\) −4422.64 + 1609.71i −0.768996 + 0.279892i
\(322\) −4569.01 + 7913.75i −0.790748 + 1.36962i
\(323\) −2254.66 3905.19i −0.388399 0.672727i
\(324\) −2673.05 2242.95i −0.458342 0.384594i
\(325\) −2234.75 + 3870.70i −0.381420 + 0.660639i
\(326\) 182.598 + 1035.57i 0.0310220 + 0.175935i
\(327\) −8470.42 −1.43246
\(328\) −91.9466 521.455i −0.0154784 0.0877821i
\(329\) −9237.13 + 7750.87i −1.54790 + 1.29884i
\(330\) −6064.11 2207.16i −1.01157 0.368181i
\(331\) −9684.14 + 3524.74i −1.60812 + 0.585308i −0.981067 0.193667i \(-0.937962\pi\)
−0.627054 + 0.778976i \(0.715740\pi\)
\(332\) 3000.94 0.496078
\(333\) 2932.66 + 3336.26i 0.482608 + 0.549027i
\(334\) −1340.72 −0.219644
\(335\) 7310.90 2660.95i 1.19235 0.433980i
\(336\) −2556.98 930.664i −0.415162 0.151107i
\(337\) −869.366 + 729.484i −0.140526 + 0.117916i −0.710341 0.703858i \(-0.751459\pi\)
0.569815 + 0.821773i \(0.307015\pi\)
\(338\) −683.286 3875.11i −0.109958 0.623603i
\(339\) −3299.64 −0.528649
\(340\) 415.339 + 2355.50i 0.0662497 + 0.375721i
\(341\) −1977.64 + 3425.37i −0.314062 + 0.543972i
\(342\) −4673.24 3921.31i −0.738888 0.620001i
\(343\) −835.243 1446.68i −0.131484 0.227736i
\(344\) 89.4028 154.850i 0.0140124 0.0242702i
\(345\) 24180.5 8800.99i 3.77343 1.37342i
\(346\) −2496.22 + 2094.58i −0.387855 + 0.325449i
\(347\) 3077.60 + 5330.56i 0.476122 + 0.824667i 0.999626 0.0273562i \(-0.00870885\pi\)
−0.523504 + 0.852023i \(0.675376\pi\)
\(348\) −236.875 + 1343.38i −0.0364880 + 0.206934i
\(349\) 277.890 1575.99i 0.0426221 0.241722i −0.956052 0.293196i \(-0.905281\pi\)
0.998674 + 0.0514747i \(0.0163921\pi\)
\(350\) −11243.2 9434.16i −1.71707 1.44079i
\(351\) −706.966 257.314i −0.107507 0.0391294i
\(352\) −692.527 252.059i −0.104863 0.0381671i
\(353\) 355.393 + 298.210i 0.0535855 + 0.0449636i 0.669187 0.743094i \(-0.266642\pi\)
−0.615602 + 0.788058i \(0.711087\pi\)
\(354\) −623.851 + 3538.04i −0.0936647 + 0.531199i
\(355\) −3396.85 + 19264.5i −0.507849 + 2.88015i
\(356\) 1437.00 + 2488.96i 0.213935 + 0.370547i
\(357\) −3801.24 + 3189.62i −0.563538 + 0.472865i
\(358\) 783.960 285.338i 0.115736 0.0421245i
\(359\) −2786.86 + 4826.98i −0.409707 + 0.709633i −0.994857 0.101292i \(-0.967702\pi\)
0.585150 + 0.810925i \(0.301036\pi\)
\(360\) 1617.91 + 2802.30i 0.236865 + 0.410262i
\(361\) 13042.5 + 10944.0i 1.90152 + 1.59557i
\(362\) 4573.20 7921.01i 0.663984 1.15005i
\(363\) 950.420 + 5390.10i 0.137422 + 0.779358i
\(364\) −1507.64 −0.217093
\(365\) −2611.62 14811.2i −0.374516 2.12398i
\(366\) −1883.54 + 1580.48i −0.269001 + 0.225719i
\(367\) 250.390 + 91.1345i 0.0356138 + 0.0129624i 0.359766 0.933043i \(-0.382857\pi\)
−0.324152 + 0.946005i \(0.605079\pi\)
\(368\) 2761.44 1005.08i 0.391168 0.142374i
\(369\) −1306.32 −0.184293
\(370\) 3353.34 + 8593.66i 0.471167 + 1.20747i
\(371\) 102.081 0.0142852
\(372\) 4413.17 1606.26i 0.615087 0.223873i
\(373\) −6959.62 2533.10i −0.966101 0.351632i −0.189679 0.981846i \(-0.560745\pi\)
−0.776421 + 0.630214i \(0.782967\pi\)
\(374\) −1029.52 + 863.871i −0.142340 + 0.119438i
\(375\) 4135.75 + 23455.0i 0.569518 + 3.22989i
\(376\) 3877.76 0.531862
\(377\) 131.243 + 744.315i 0.0179293 + 0.101682i
\(378\) 1235.26 2139.54i 0.168082 0.291127i
\(379\) −7880.94 6612.90i −1.06812 0.896258i −0.0732376 0.997315i \(-0.523333\pi\)
−0.994881 + 0.101057i \(0.967778\pi\)
\(380\) −6334.50 10971.7i −0.855140 1.48115i
\(381\) −3647.00 + 6316.78i −0.490397 + 0.849392i
\(382\) 7471.01 2719.22i 1.00065 0.364208i
\(383\) 3061.48 2568.89i 0.408445 0.342726i −0.415302 0.909683i \(-0.636324\pi\)
0.823747 + 0.566958i \(0.191880\pi\)
\(384\) 437.531 + 757.826i 0.0581449 + 0.100710i
\(385\) 2038.85 11562.9i 0.269895 1.53065i
\(386\) 17.0038 96.4334i 0.00224215 0.0127159i
\(387\) −337.923 283.551i −0.0443866 0.0372447i
\(388\) −1425.74 518.928i −0.186549 0.0678983i
\(389\) −6256.70 2277.25i −0.815495 0.296816i −0.0996032 0.995027i \(-0.531757\pi\)
−0.715892 + 0.698211i \(0.753980\pi\)
\(390\) 3252.22 + 2728.94i 0.422263 + 0.354321i
\(391\) 930.573 5277.54i 0.120361 0.682600i
\(392\) 383.206 2173.27i 0.0493745 0.280017i
\(393\) 82.7371 + 143.305i 0.0106197 + 0.0183938i
\(394\) −175.368 + 147.151i −0.0224236 + 0.0188156i
\(395\) 10345.7 3765.52i 1.31784 0.479656i
\(396\) −909.084 + 1574.58i −0.115362 + 0.199812i
\(397\) −2342.58 4057.46i −0.296147 0.512942i 0.679104 0.734042i \(-0.262369\pi\)
−0.975251 + 0.221100i \(0.929035\pi\)
\(398\) 2146.27 + 1800.94i 0.270309 + 0.226816i
\(399\) 13141.7 22762.1i 1.64889 2.85597i
\(400\) 819.603 + 4648.20i 0.102450 + 0.581025i
\(401\) 8477.08 1.05567 0.527837 0.849346i \(-0.323003\pi\)
0.527837 + 0.849346i \(0.323003\pi\)
\(402\) −901.348 5111.80i −0.111829 0.634212i
\(403\) 1993.31 1672.59i 0.246387 0.206743i
\(404\) 4755.15 + 1730.73i 0.585588 + 0.213137i
\(405\) −16799.7 + 6114.57i −2.06119 + 0.750211i
\(406\) −2481.89 −0.303384
\(407\) −3239.65 + 4046.10i −0.394554 + 0.492771i
\(408\) 1595.77 0.193633
\(409\) −14700.5 + 5350.53i −1.77724 + 0.646863i −0.777401 + 0.629006i \(0.783462\pi\)
−0.999841 + 0.0178572i \(0.994316\pi\)
\(410\) −2549.25 927.852i −0.307070 0.111764i
\(411\) −8417.63 + 7063.23i −1.01025 + 0.847697i
\(412\) −1006.57 5708.57i −0.120365 0.682624i
\(413\) −6536.49 −0.778788
\(414\) −1258.93 7139.76i −0.149452 0.847585i
\(415\) 7687.56 13315.2i 0.909319 1.57499i
\(416\) 371.406 + 311.647i 0.0437733 + 0.0367302i
\(417\) −2951.51 5112.16i −0.346609 0.600344i
\(418\) 3559.28 6164.85i 0.416483 0.721370i
\(419\) −4912.13 + 1787.87i −0.572728 + 0.208456i −0.612116 0.790768i \(-0.709681\pi\)
0.0393878 + 0.999224i \(0.487459\pi\)
\(420\) −10679.6 + 8961.28i −1.24075 + 1.04111i
\(421\) 926.687 + 1605.07i 0.107278 + 0.185811i 0.914667 0.404209i \(-0.132453\pi\)
−0.807389 + 0.590020i \(0.799120\pi\)
\(422\) 1291.28 7323.20i 0.148954 0.844758i
\(423\) 1661.25 9421.39i 0.190952 1.08294i
\(424\) −25.1476 21.1014i −0.00288037 0.00241692i
\(425\) 8088.16 + 2943.85i 0.923137 + 0.335994i
\(426\) 12263.9 + 4463.70i 1.39481 + 0.507669i
\(427\) −3426.96 2875.56i −0.388390 0.325898i
\(428\) −478.186 + 2711.93i −0.0540047 + 0.306276i
\(429\) −414.234 + 2349.24i −0.0466186 + 0.264387i
\(430\) −458.050 793.365i −0.0513700 0.0889755i
\(431\) 3385.62 2840.87i 0.378375 0.317494i −0.433689 0.901063i \(-0.642788\pi\)
0.812064 + 0.583568i \(0.198344\pi\)
\(432\) −746.574 + 271.731i −0.0831471 + 0.0302631i
\(433\) −5161.31 + 8939.66i −0.572834 + 0.992177i 0.423440 + 0.905924i \(0.360823\pi\)
−0.996273 + 0.0862527i \(0.972511\pi\)
\(434\) 4272.37 + 7399.96i 0.472535 + 0.818455i
\(435\) 5353.82 + 4492.39i 0.590106 + 0.495158i
\(436\) −2478.03 + 4292.07i −0.272193 + 0.471451i
\(437\) 4929.02 + 27953.9i 0.539559 + 3.05999i
\(438\) −10034.0 −1.09462
\(439\) 2321.06 + 13163.4i 0.252342 + 1.43110i 0.802804 + 0.596243i \(0.203340\pi\)
−0.550462 + 0.834860i \(0.685548\pi\)
\(440\) −2892.45 + 2427.06i −0.313392 + 0.262967i
\(441\) −5116.00 1862.07i −0.552424 0.201066i
\(442\) 830.830 302.397i 0.0894085 0.0325420i
\(443\) 6485.51 0.695566 0.347783 0.937575i \(-0.386935\pi\)
0.347783 + 0.937575i \(0.386935\pi\)
\(444\) 6034.83 1207.66i 0.645046 0.129084i
\(445\) 14724.8 1.56859
\(446\) 1229.86 447.634i 0.130573 0.0475248i
\(447\) 13010.4 + 4735.41i 1.37667 + 0.501067i
\(448\) −1219.63 + 1023.39i −0.128620 + 0.107925i
\(449\) −63.2028 358.441i −0.00664303 0.0376745i 0.981306 0.192454i \(-0.0616445\pi\)
−0.987949 + 0.154779i \(0.950533\pi\)
\(450\) 11644.4 1.21982
\(451\) −264.696 1501.16i −0.0276364 0.156734i
\(452\) −965.313 + 1671.97i −0.100452 + 0.173989i
\(453\) −7223.06 6060.87i −0.749159 0.628619i
\(454\) 3480.17 + 6027.83i 0.359763 + 0.623128i
\(455\) −3862.15 + 6689.45i −0.397935 + 0.689244i
\(456\) −7942.65 + 2890.89i −0.815677 + 0.296882i
\(457\) −1807.61 + 1516.77i −0.185025 + 0.155255i −0.730596 0.682810i \(-0.760758\pi\)
0.545570 + 0.838065i \(0.316313\pi\)
\(458\) −3255.37 5638.47i −0.332125 0.575258i
\(459\) −251.587 + 1426.82i −0.0255840 + 0.145094i
\(460\) 2614.46 14827.3i 0.264999 1.50288i
\(461\) −10138.7 8507.35i −1.02431 0.859494i −0.0341429 0.999417i \(-0.510870\pi\)
−0.990162 + 0.139923i \(0.955315\pi\)
\(462\) −7361.02 2679.19i −0.741267 0.269799i
\(463\) 12902.5 + 4696.14i 1.29510 + 0.471378i 0.895398 0.445267i \(-0.146891\pi\)
0.399703 + 0.916645i \(0.369113\pi\)
\(464\) 611.412 + 513.035i 0.0611726 + 0.0513299i
\(465\) 4178.27 23696.2i 0.416694 2.36319i
\(466\) −69.7649 + 395.656i −0.00693518 + 0.0393314i
\(467\) 2417.91 + 4187.95i 0.239588 + 0.414979i 0.960596 0.277948i \(-0.0896542\pi\)
−0.721008 + 0.692927i \(0.756321\pi\)
\(468\) 916.289 768.858i 0.0905031 0.0759412i
\(469\) 8874.46 3230.04i 0.873741 0.318016i
\(470\) 9933.73 17205.7i 0.974912 1.68860i
\(471\) −12303.0 21309.5i −1.20360 2.08469i
\(472\) 1610.26 + 1351.17i 0.157030 + 0.131764i
\(473\) 257.372 445.782i 0.0250190 0.0433342i
\(474\) −1275.50 7233.73i −0.123599 0.700962i
\(475\) −45590.5 −4.40386
\(476\) 504.166 + 2859.27i 0.0485471 + 0.275324i
\(477\) −62.0412 + 52.0588i −0.00595529 + 0.00499708i
\(478\) −12681.9 4615.84i −1.21351 0.441681i
\(479\) 10863.7 3954.06i 1.03627 0.377172i 0.232806 0.972523i \(-0.425209\pi\)
0.803466 + 0.595351i \(0.202987\pi\)
\(480\) 4483.32 0.426323
\(481\) 2913.16 1772.36i 0.276151 0.168010i
\(482\) −3373.45 −0.318789
\(483\) 29351.9 10683.2i 2.76513 1.00643i
\(484\) 3009.28 + 1095.29i 0.282614 + 0.102863i
\(485\) −5954.85 + 4996.71i −0.557517 + 0.467812i
\(486\) 1605.58 + 9105.70i 0.149857 + 0.849882i
\(487\) 8360.43 0.777920 0.388960 0.921255i \(-0.372834\pi\)
0.388960 + 0.921255i \(0.372834\pi\)
\(488\) 249.818 + 1416.79i 0.0231736 + 0.131424i
\(489\) 1797.19 3112.83i 0.166200 0.287867i
\(490\) −8661.19 7267.60i −0.798515 0.670034i
\(491\) −5595.96 9692.49i −0.514342 0.890867i −0.999862 0.0166411i \(-0.994703\pi\)
0.485519 0.874226i \(-0.338631\pi\)
\(492\) −904.970 + 1567.45i −0.0829252 + 0.143631i
\(493\) 1367.72 497.808i 0.124947 0.0454770i
\(494\) −3587.49 + 3010.26i −0.326738 + 0.274166i
\(495\) 4657.63 + 8067.26i 0.422919 + 0.732518i
\(496\) 477.163 2706.12i 0.0431960 0.244977i
\(497\) −4123.33 + 23384.5i −0.372146 + 2.11054i
\(498\) −7857.96 6593.61i −0.707075 0.593307i
\(499\) −5320.75 1936.59i −0.477334 0.173735i 0.0921380 0.995746i \(-0.470630\pi\)
−0.569472 + 0.822011i \(0.692852\pi\)
\(500\) 13094.9 + 4766.14i 1.17124 + 0.426296i
\(501\) 3510.68 + 2945.81i 0.313065 + 0.262693i
\(502\) −136.487 + 774.058i −0.0121349 + 0.0688205i
\(503\) −2799.05 + 15874.2i −0.248118 + 1.40715i 0.565020 + 0.825077i \(0.308868\pi\)
−0.813138 + 0.582071i \(0.802243\pi\)
\(504\) 1963.93 + 3401.62i 0.173572 + 0.300635i
\(505\) 19860.7 16665.1i 1.75008 1.46849i
\(506\) 7949.62 2893.42i 0.698426 0.254206i
\(507\) −6725.13 + 11648.3i −0.589100 + 1.02035i
\(508\) 2133.86 + 3695.96i 0.186368 + 0.322799i
\(509\) 3968.56 + 3330.01i 0.345586 + 0.289981i 0.799015 0.601312i \(-0.205355\pi\)
−0.453429 + 0.891292i \(0.649799\pi\)
\(510\) 4087.91 7080.46i 0.354932 0.614761i
\(511\) −3170.15 17978.8i −0.274441 1.55643i
\(512\) 512.000 0.0441942
\(513\) −1332.60 7557.52i −0.114689 0.650434i
\(514\) −6989.49 + 5864.88i −0.599792 + 0.503285i
\(515\) −27907.6 10157.6i −2.38788 0.869117i
\(516\) −574.335 + 209.041i −0.0489994 + 0.0178343i
\(517\) 11163.3 0.949633
\(518\) 4070.51 + 10431.6i 0.345266 + 0.884819i
\(519\) 11138.5 0.942056
\(520\) 2334.23 849.589i 0.196851 0.0716479i
\(521\) −14791.5 5383.67i −1.24382 0.452712i −0.365508 0.930808i \(-0.619105\pi\)
−0.878307 + 0.478096i \(0.841327\pi\)
\(522\) 1508.40 1265.70i 0.126477 0.106127i
\(523\) −214.124 1214.36i −0.0179025 0.101530i 0.974547 0.224182i \(-0.0719711\pi\)
−0.992450 + 0.122652i \(0.960860\pi\)
\(524\) 96.8192 0.00807169
\(525\) 8711.73 + 49406.7i 0.724212 + 4.10721i
\(526\) −5728.02 + 9921.21i −0.474816 + 0.822406i
\(527\) −3838.67 3221.03i −0.317296 0.266243i
\(528\) 1259.56 + 2181.63i 0.103817 + 0.179816i
\(529\) −10783.2 + 18677.0i −0.886262 + 1.53505i
\(530\) −158.049 + 57.5250i −0.0129532 + 0.00471458i
\(531\) 3972.64 3333.44i 0.324666 0.272427i
\(532\) −7689.24 13318.2i −0.626637 1.08537i
\(533\) −174.137 + 987.581i −0.0141514 + 0.0802568i
\(534\) 1705.91 9674.70i 0.138243 0.784017i
\(535\) 10807.9 + 9068.93i 0.873397 + 0.732867i
\(536\) −2853.90 1038.74i −0.229981 0.0837063i
\(537\) −2679.74 975.345i −0.215343 0.0783785i
\(538\) 10108.6 + 8482.10i 0.810058 + 0.679720i
\(539\) 1103.17 6256.40i 0.0881576 0.499967i
\(540\) −706.836 + 4008.67i −0.0563285 + 0.319455i
\(541\) −7613.80 13187.5i −0.605070 1.04801i −0.992040 0.125920i \(-0.959812\pi\)
0.386970 0.922092i \(-0.373522\pi\)
\(542\) −9084.35 + 7622.68i −0.719938 + 0.604100i
\(543\) −29378.8 + 10693.0i −2.32185 + 0.845086i
\(544\) 466.843 808.595i 0.0367936 0.0637284i
\(545\) 12696.0 + 21990.2i 0.997868 + 1.72836i
\(546\) 3947.76 + 3312.56i 0.309429 + 0.259642i
\(547\) 1189.74 2060.70i 0.0929977 0.161077i −0.815773 0.578372i \(-0.803688\pi\)
0.908771 + 0.417295i \(0.137022\pi\)
\(548\) 1116.44 + 6331.67i 0.0870295 + 0.493569i
\(549\) 3549.25 0.275916
\(550\) 2359.47 + 13381.2i 0.182924 + 1.03741i
\(551\) −5905.75 + 4955.51i −0.456612 + 0.383143i
\(552\) −9439.17 3435.58i −0.727822 0.264906i
\(553\) 12558.3 4570.84i 0.965701 0.351486i
\(554\) 2325.97 0.178377
\(555\) 10101.1 29870.4i 0.772555 2.28455i
\(556\) −3453.86 −0.263447
\(557\) 13115.0 4773.46i 0.997665 0.363121i 0.208982 0.977920i \(-0.432985\pi\)
0.788684 + 0.614799i \(0.210763\pi\)
\(558\) −6370.37 2318.63i −0.483296 0.175906i
\(559\) −259.412 + 217.673i −0.0196278 + 0.0164697i
\(560\) 1416.46 + 8033.14i 0.106886 + 0.606182i
\(561\) 4593.89 0.345729
\(562\) −1991.96 11297.0i −0.149512 0.847924i
\(563\) 3228.19 5591.39i 0.241655 0.418559i −0.719531 0.694461i \(-0.755643\pi\)
0.961186 + 0.275901i \(0.0889763\pi\)
\(564\) −10153.9 8520.14i −0.758079 0.636104i
\(565\) 4945.72 + 8566.24i 0.368262 + 0.637849i
\(566\) −2985.16 + 5170.45i −0.221688 + 0.383975i
\(567\) −20392.5 + 7422.28i −1.51042 + 0.549747i
\(568\) 5849.64 4908.43i 0.432122 0.362594i
\(569\) 1315.84 + 2279.09i 0.0969468 + 0.167917i 0.910419 0.413686i \(-0.135759\pi\)
−0.813473 + 0.581603i \(0.802426\pi\)
\(570\) −7519.89 + 42647.4i −0.552585 + 3.13387i
\(571\) −730.690 + 4143.95i −0.0535524 + 0.303711i −0.999806 0.0197160i \(-0.993724\pi\)
0.946253 + 0.323427i \(0.104835\pi\)
\(572\) 1069.20 + 897.168i 0.0781567 + 0.0655813i
\(573\) −25537.5 9294.88i −1.86185 0.677660i
\(574\) −3094.45 1126.29i −0.225017 0.0818996i
\(575\) −41504.6 34826.5i −3.01020 2.52585i
\(576\) 219.343 1243.95i 0.0158668 0.0899851i
\(577\) −2955.52 + 16761.6i −0.213241 + 1.20935i 0.670692 + 0.741736i \(0.265997\pi\)
−0.883933 + 0.467613i \(0.845114\pi\)
\(578\) 4061.66 + 7035.01i 0.292289 + 0.506259i
\(579\) −256.406 + 215.150i −0.0184039 + 0.0154427i
\(580\) 3842.62 1398.60i 0.275097 0.100127i
\(581\) 9331.67 16162.9i 0.666339 1.15413i
\(582\) 2593.13 + 4491.43i 0.184688 + 0.319889i
\(583\) −72.3949 60.7466i −0.00514287 0.00431538i
\(584\) −2935.47 + 5084.38i −0.207998 + 0.360262i
\(585\) −1064.17 6035.20i −0.0752102 0.426538i
\(586\) 3023.80 0.213161
\(587\) −565.666 3208.05i −0.0397743 0.225571i 0.958441 0.285291i \(-0.0920903\pi\)
−0.998215 + 0.0597200i \(0.980979\pi\)
\(588\) −5778.49 + 4848.73i −0.405274 + 0.340065i
\(589\) 24941.5 + 9077.97i 1.74482 + 0.635062i
\(590\) 10120.2 3683.45i 0.706173 0.257026i
\(591\) 782.518 0.0544645
\(592\) 1153.56 3411.23i 0.0800859 0.236825i
\(593\) −27261.4 −1.88785 −0.943923 0.330164i \(-0.892896\pi\)
−0.943923 + 0.330164i \(0.892896\pi\)
\(594\) −2149.23 + 782.257i −0.148458 + 0.0540344i
\(595\) 13978.2 + 5087.64i 0.963108 + 0.350543i
\(596\) 6205.70 5207.20i 0.426503 0.357878i
\(597\) −1663.03 9431.51i −0.114009 0.646577i
\(598\) −5565.51 −0.380586
\(599\) −123.287 699.195i −0.00840963 0.0476934i 0.980314 0.197444i \(-0.0632640\pi\)
−0.988724 + 0.149751i \(0.952153\pi\)
\(600\) 8066.81 13972.1i 0.548877 0.950683i
\(601\) 11712.8 + 9828.17i 0.794964 + 0.667054i 0.946969 0.321326i \(-0.104128\pi\)
−0.152005 + 0.988380i \(0.548573\pi\)
\(602\) −556.011 963.039i −0.0376434 0.0652002i
\(603\) −3746.33 + 6488.84i −0.253006 + 0.438219i
\(604\) −5184.23 + 1886.91i −0.349244 + 0.127114i
\(605\) 12568.8 10546.4i 0.844616 0.708717i
\(606\) −8648.63 14979.9i −0.579747 1.00415i
\(607\) 695.890 3946.59i 0.0465326 0.263899i −0.952662 0.304032i \(-0.901667\pi\)
0.999194 + 0.0401327i \(0.0127781\pi\)
\(608\) −858.779 + 4870.38i −0.0572830 + 0.324868i
\(609\) 6498.83 + 5453.16i 0.432423 + 0.362846i
\(610\) 6926.29 + 2520.96i 0.459733 + 0.167329i
\(611\) −6901.16 2511.82i −0.456941 0.166313i
\(612\) −1764.56 1480.65i −0.116550 0.0977967i
\(613\) 963.114 5462.09i 0.0634581 0.359889i −0.936499 0.350669i \(-0.885954\pi\)
0.999957 0.00921946i \(-0.00293469\pi\)
\(614\) −2112.13 + 11978.5i −0.138825 + 0.787316i
\(615\) 4636.56 + 8030.76i 0.304007 + 0.526555i
\(616\) −3511.05 + 2946.12i −0.229650 + 0.192699i
\(617\) 20657.5 7518.70i 1.34787 0.490586i 0.435590 0.900145i \(-0.356540\pi\)
0.912284 + 0.409559i \(0.134317\pi\)
\(618\) −9907.06 + 17159.5i −0.644855 + 1.11692i
\(619\) −4468.48 7739.64i −0.290151 0.502557i 0.683694 0.729769i \(-0.260372\pi\)
−0.973845 + 0.227212i \(0.927039\pi\)
\(620\) −10784.8 9049.51i −0.698593 0.586189i
\(621\) 4560.02 7898.18i 0.294665 0.510375i
\(622\) 1083.93 + 6147.25i 0.0698737 + 0.396274i
\(623\) 17873.9 1.14944
\(624\) −287.783 1632.10i −0.0184624 0.104705i
\(625\) 26445.5 22190.4i 1.69251 1.42019i
\(626\) −5374.51 1956.16i −0.343145 0.124895i
\(627\) −22865.3 + 8322.28i −1.45638 + 0.530080i
\(628\) −14397.1 −0.914817
\(629\) −4335.50 4932.16i −0.274829 0.312652i
\(630\) 20124.1 1.27264
\(631\) 28490.4 10369.6i 1.79744 0.654214i 0.798826 0.601562i \(-0.205455\pi\)
0.998613 0.0526523i \(-0.0167675\pi\)
\(632\) −4038.57 1469.92i −0.254186 0.0925163i
\(633\) −19471.6 + 16338.6i −1.22263 + 1.02591i
\(634\) −512.630 2907.27i −0.0321122 0.182117i
\(635\) 21865.4 1.36646
\(636\) 19.4855 + 110.508i 0.00121486 + 0.00688982i
\(637\) −2089.72 + 3619.50i −0.129981 + 0.225133i
\(638\) 1760.13 + 1476.92i 0.109223 + 0.0916489i
\(639\) −9419.50 16315.1i −0.583145 1.01004i
\(640\) 1311.60 2271.76i 0.0810087 0.140311i
\(641\) 6546.47 2382.72i 0.403385 0.146820i −0.132356 0.991202i \(-0.542254\pi\)
0.535742 + 0.844382i \(0.320032\pi\)
\(642\) 7210.74 6050.53i 0.443279 0.371955i
\(643\) 4056.40 + 7025.89i 0.248785 + 0.430908i 0.963189 0.268825i \(-0.0866354\pi\)
−0.714404 + 0.699733i \(0.753302\pi\)
\(644\) 3173.60 17998.4i 0.194188 1.10130i
\(645\) −543.765 + 3083.85i −0.0331949 + 0.188258i
\(646\) 6908.69 + 5797.08i 0.420772 + 0.353070i
\(647\) 14657.7 + 5334.97i 0.890656 + 0.324172i 0.746502 0.665383i \(-0.231732\pi\)
0.144154 + 0.989555i \(0.453954\pi\)
\(648\) 6557.96 + 2386.90i 0.397563 + 0.144701i
\(649\) 4635.61 + 3889.74i 0.280375 + 0.235263i
\(650\) 1552.24 8803.19i 0.0936675 0.531215i
\(651\) 5071.86 28764.0i 0.305349 1.73172i
\(652\) −1051.54 1821.32i −0.0631618 0.109400i
\(653\) −11775.4 + 9880.72i −0.705676 + 0.592132i −0.923382 0.383882i \(-0.874587\pi\)
0.217706 + 0.976014i \(0.430143\pi\)
\(654\) 15919.2 5794.11i 0.951818 0.346433i
\(655\) 248.024 429.589i 0.0147955 0.0256266i
\(656\) 529.499 + 917.120i 0.0315145 + 0.0545846i
\(657\) 11095.4 + 9310.18i 0.658865 + 0.552853i
\(658\) 12058.2 20885.4i 0.714405 1.23739i
\(659\) 1582.52 + 8974.93i 0.0935453 + 0.530522i 0.995183 + 0.0980305i \(0.0312543\pi\)
−0.901638 + 0.432491i \(0.857635\pi\)
\(660\) 12906.6 0.761194
\(661\) −2739.68 15537.5i −0.161212 0.914281i −0.952884 0.303334i \(-0.901900\pi\)
0.791672 0.610946i \(-0.209211\pi\)
\(662\) 15789.2 13248.7i 0.926984 0.777832i
\(663\) −2839.95 1033.66i −0.166357 0.0605489i
\(664\) −5639.92 + 2052.76i −0.329625 + 0.119974i
\(665\) −78790.7 −4.59455
\(666\) −7793.72 4264.06i −0.453455 0.248092i
\(667\) −9161.98 −0.531864
\(668\) 2519.73 917.107i 0.145945 0.0531197i
\(669\) −4203.93 1530.11i −0.242950 0.0884265i
\(670\) −11919.8 + 10001.9i −0.687317 + 0.576727i
\(671\) 719.175 + 4078.64i 0.0413762 + 0.234656i
\(672\) 5442.16 0.312404
\(673\) −1181.58 6701.09i −0.0676771 0.383816i −0.999767 0.0215886i \(-0.993128\pi\)
0.932090 0.362227i \(-0.117984\pi\)
\(674\) 1134.88 1965.66i 0.0648573 0.112336i
\(675\) 11221.1 + 9415.59i 0.639850 + 0.536898i
\(676\) 3934.89 + 6815.42i 0.223878 + 0.387769i
\(677\) −4313.56 + 7471.30i −0.244880 + 0.424144i −0.962098 0.272705i \(-0.912082\pi\)
0.717218 + 0.696849i \(0.245415\pi\)
\(678\) 6201.30 2257.09i 0.351268 0.127851i
\(679\) −7228.39 + 6065.34i −0.408542 + 0.342808i
\(680\) −2391.84 4142.79i −0.134887 0.233630i
\(681\) 4131.42 23430.4i 0.232476 1.31844i
\(682\) 1373.65 7790.38i 0.0771260 0.437403i
\(683\) −7237.25 6072.78i −0.405455 0.340217i 0.417143 0.908841i \(-0.363032\pi\)
−0.822598 + 0.568624i \(0.807476\pi\)
\(684\) 11465.2 + 4172.97i 0.640908 + 0.233271i
\(685\) 30953.8 + 11266.3i 1.72655 + 0.628412i
\(686\) 2559.33 + 2147.54i 0.142443 + 0.119524i
\(687\) −3864.55 + 21917.0i −0.214617 + 1.21715i
\(688\) −62.0985 + 352.178i −0.00344111 + 0.0195155i
\(689\) 31.0863 + 53.8430i 0.00171886 + 0.00297715i
\(690\) −39424.3 + 33080.9i −2.17515 + 1.82517i
\(691\) 18772.9 6832.78i 1.03351 0.376167i 0.231094 0.972932i \(-0.425770\pi\)
0.802416 + 0.596765i \(0.203547\pi\)
\(692\) 3258.59 5644.04i 0.179007 0.310049i
\(693\) 5653.75 + 9792.58i 0.309911 + 0.536781i
\(694\) −9430.31 7912.97i −0.515807 0.432813i
\(695\) −8847.83 + 15324.9i −0.482903 + 0.836412i
\(696\) −473.749 2686.77i −0.0258009 0.146324i
\(697\) 1931.20 0.104949
\(698\) 555.780 + 3151.98i 0.0301383 + 0.170923i
\(699\) 1052.01 882.740i 0.0569250 0.0477658i
\(700\) 27583.6 + 10039.6i 1.48938 + 0.542089i
\(701\) 7950.14 2893.62i 0.428349 0.155906i −0.118844 0.992913i \(-0.537919\pi\)
0.547193 + 0.837007i \(0.315696\pi\)
\(702\) 1504.67 0.0808978
\(703\) 30514.3 + 16694.8i 1.63708 + 0.895671i
\(704\) 1473.94 0.0789082
\(705\) −63815.6 + 23227.0i −3.40913 + 1.24082i
\(706\) −871.909 317.349i −0.0464798 0.0169173i
\(707\) 24108.2 20229.2i 1.28244 1.07609i
\(708\) −1247.70 7076.07i −0.0662310 0.375614i
\(709\) −23745.2 −1.25778 −0.628892 0.777493i \(-0.716491\pi\)
−0.628892 + 0.777493i \(0.716491\pi\)
\(710\) −6793.71 38529.0i −0.359103 2.03658i
\(711\) −5301.45 + 9182.39i −0.279634 + 0.484341i
\(712\) −4403.23 3694.75i −0.231767 0.194475i
\(713\) 15771.6 + 27317.2i 0.828402 + 1.43483i
\(714\) 4962.17 8594.73i 0.260091 0.450490i
\(715\) 6719.76 2445.79i 0.351475 0.127927i
\(716\) −1278.18 + 1072.52i −0.0667148 + 0.0559804i
\(717\) 23065.8 + 39951.1i 1.20140 + 2.08089i
\(718\) 1935.73 10978.1i 0.100614 0.570611i
\(719\) 1508.03 8552.48i 0.0782199 0.443607i −0.920395 0.390990i \(-0.872133\pi\)
0.998615 0.0526170i \(-0.0167562\pi\)
\(720\) −4957.57 4159.89i −0.256608 0.215319i
\(721\) −33876.2 12329.9i −1.74981 0.636879i
\(722\) −31998.1 11646.4i −1.64937 0.600322i
\(723\) 8833.37 + 7412.08i 0.454380 + 0.381270i
\(724\) −3176.51 + 18014.9i −0.163058 + 0.924749i
\(725\) 2555.31 14491.9i 0.130899 0.742365i
\(726\) −5473.25 9479.95i −0.279795 0.484620i
\(727\) −5998.95 + 5033.72i −0.306037 + 0.256795i −0.782852 0.622208i \(-0.786236\pi\)
0.476815 + 0.879004i \(0.341791\pi\)
\(728\) 2833.44 1031.29i 0.144250 0.0525028i
\(729\) 4025.88 6973.03i 0.204536 0.354267i
\(730\) 15039.7 + 26049.5i 0.762526 + 1.32073i
\(731\) 499.569 + 419.188i 0.0252766 + 0.0212096i
\(732\) 2458.79 4258.75i 0.124152 0.215038i
\(733\) −5474.79 31049.1i −0.275874 1.56456i −0.736171 0.676796i \(-0.763368\pi\)
0.460296 0.887765i \(-0.347743\pi\)
\(734\) −532.919 −0.0267989
\(735\) 6711.08 + 38060.4i 0.336792 + 1.91004i
\(736\) −4502.29 + 3777.87i −0.225484 + 0.189204i
\(737\) −8215.81 2990.31i −0.410628 0.149457i
\(738\) 2455.07 893.573i 0.122456 0.0445703i
\(739\) −2543.49 −0.126609 −0.0633044 0.997994i \(-0.520164\pi\)
−0.0633044 + 0.997994i \(0.520164\pi\)
\(740\) −12180.6 13857.0i −0.605093 0.688368i
\(741\) 16007.9 0.793612
\(742\) −191.850 + 69.8276i −0.00949196 + 0.00345479i
\(743\) −14076.7 5123.49i −0.695051 0.252978i −0.0297544 0.999557i \(-0.509473\pi\)
−0.665296 + 0.746579i \(0.731695\pi\)
\(744\) −7195.30 + 6037.57i −0.354560 + 0.297511i
\(745\) −7207.24 40874.3i −0.354433 2.01009i
\(746\) 14812.6 0.726979
\(747\) 2571.23 + 14582.1i 0.125939 + 0.714234i
\(748\) 1343.95 2327.78i 0.0656945 0.113786i
\(749\) 13119.4 + 11008.5i 0.640016 + 0.537037i
\(750\) −23816.8 41251.9i −1.15956 2.00841i
\(751\) −3698.56 + 6406.10i −0.179710 + 0.311267i −0.941781 0.336226i \(-0.890849\pi\)
0.762071 + 0.647493i \(0.224183\pi\)
\(752\) −7287.80 + 2652.54i −0.353403 + 0.128628i
\(753\) 2058.14 1726.98i 0.0996053 0.0835787i
\(754\) −755.797 1309.08i −0.0365047 0.0632279i
\(755\) −4908.29 + 27836.3i −0.236597 + 1.34181i
\(756\) −858.005 + 4865.99i −0.0412769 + 0.234093i
\(757\) −15771.6 13233.9i −0.757237 0.635398i 0.180169 0.983636i \(-0.442336\pi\)
−0.937406 + 0.348238i \(0.886780\pi\)
\(758\) 19334.8 + 7037.30i 0.926480 + 0.337211i
\(759\) −27173.5 9890.33i −1.29952 0.472986i
\(760\) 19410.0 + 16287.0i 0.926416 + 0.777356i
\(761\) 293.900 1666.79i 0.0139998 0.0793970i −0.977007 0.213206i \(-0.931610\pi\)
0.991007 + 0.133809i \(0.0427207\pi\)
\(762\) 2533.18 14366.4i 0.120430 0.682990i
\(763\) 15411.3 + 26693.1i 0.731226 + 1.26652i
\(764\) −12180.8 + 10220.9i −0.576816 + 0.484006i
\(765\) −11090.0 + 4036.42i −0.524130 + 0.190768i
\(766\) −3996.48 + 6922.10i −0.188510 + 0.326509i
\(767\) −1990.52 3447.69i −0.0937075 0.162306i
\(768\) −1340.67 1124.96i −0.0629913 0.0528560i
\(769\) −115.142 + 199.431i −0.00539937 + 0.00935199i −0.868712 0.495317i \(-0.835052\pi\)
0.863313 + 0.504669i \(0.168385\pi\)
\(770\) 4077.70 + 23125.8i 0.190844 + 1.08233i
\(771\) 31188.2