Properties

Label 20.4.e.b.3.2
Level 20
Weight 4
Character 20.3
Analytic conductor 1.180
Analytic rank 0
Dimension 12
CM No
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 20 = 2^{2} \cdot 5 \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 20.e (of order \(4\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(1.18003820011\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(i)\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{9}]\)
Coefficient ring index: \( 2^{14} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 3.2
Root \(-1.83244 - 0.801352i\)
Character \(\chi\) = 20.3
Dual form 20.4.e.b.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.63379 - 1.03109i) q^{2} +(-5.55970 + 5.55970i) q^{3} +(5.87372 + 5.43134i) q^{4} +(-10.4994 + 3.84216i) q^{5} +(20.3756 - 8.91056i) q^{6} +(1.14202 + 1.14202i) q^{7} +(-9.86997 - 20.3613i) q^{8} -34.8205i q^{9} +O(q^{10})\) \(q+(-2.63379 - 1.03109i) q^{2} +(-5.55970 + 5.55970i) q^{3} +(5.87372 + 5.43134i) q^{4} +(-10.4994 + 3.84216i) q^{5} +(20.3756 - 8.91056i) q^{6} +(1.14202 + 1.14202i) q^{7} +(-9.86997 - 20.3613i) q^{8} -34.8205i q^{9} +(31.6149 + 0.706375i) q^{10} +27.0350i q^{11} +(-62.8527 + 2.45951i) q^{12} +(40.4777 + 40.4777i) q^{13} +(-1.83032 - 4.18535i) q^{14} +(37.0124 - 79.7348i) q^{15} +(5.00116 + 63.8043i) q^{16} +(-36.2735 + 36.2735i) q^{17} +(-35.9029 + 91.7099i) q^{18} -56.8829 q^{19} +(-82.5387 - 34.4581i) q^{20} -12.6985 q^{21} +(27.8754 - 71.2046i) q^{22} +(54.9839 - 54.9839i) q^{23} +(168.077 + 58.3288i) q^{24} +(95.4757 - 80.6808i) q^{25} +(-64.8739 - 148.346i) q^{26} +(43.4795 + 43.4795i) q^{27} +(0.505208 + 12.9106i) q^{28} +57.1173i q^{29} +(-179.696 + 171.842i) q^{30} +190.845i q^{31} +(52.6158 - 173.204i) q^{32} +(-150.306 - 150.306i) q^{33} +(132.938 - 58.1357i) q^{34} +(-16.3783 - 7.60271i) q^{35} +(189.122 - 204.526i) q^{36} +(-50.4605 + 50.4605i) q^{37} +(149.818 + 58.6513i) q^{38} -450.088 q^{39} +(181.860 + 175.860i) q^{40} -71.5197 q^{41} +(33.4453 + 13.0933i) q^{42} +(66.9381 - 66.9381i) q^{43} +(-146.836 + 158.796i) q^{44} +(133.786 + 365.595i) q^{45} +(-201.509 + 88.1229i) q^{46} +(343.017 + 343.017i) q^{47} +(-382.538 - 326.928i) q^{48} -340.392i q^{49} +(-334.652 + 114.053i) q^{50} -403.339i q^{51} +(17.9066 + 457.603i) q^{52} +(240.148 + 240.148i) q^{53} +(-69.6848 - 159.347i) q^{54} +(-103.873 - 283.852i) q^{55} +(11.9813 - 34.5247i) q^{56} +(316.252 - 316.252i) q^{57} +(58.8929 - 150.435i) q^{58} +738.207 q^{59} +(650.467 - 267.313i) q^{60} -187.952 q^{61} +(196.777 - 502.645i) q^{62} +(39.7656 - 39.7656i) q^{63} +(-317.167 + 401.932i) q^{64} +(-580.515 - 269.471i) q^{65} +(240.897 + 550.855i) q^{66} +(-576.434 - 576.434i) q^{67} +(-410.074 + 16.0468i) q^{68} +611.387i q^{69} +(35.2980 + 36.9114i) q^{70} +157.380i q^{71} +(-708.991 + 343.677i) q^{72} +(180.613 + 180.613i) q^{73} +(184.932 - 80.8733i) q^{74} +(-82.2548 + 979.377i) q^{75} +(-334.114 - 308.950i) q^{76} +(-30.8744 + 30.8744i) q^{77} +(1185.44 + 464.080i) q^{78} +55.6778 q^{79} +(-297.655 - 650.693i) q^{80} +456.687 q^{81} +(188.368 + 73.7430i) q^{82} +(-858.601 + 858.601i) q^{83} +(-74.5876 - 68.9700i) q^{84} +(241.482 - 520.219i) q^{85} +(-245.320 + 107.282i) q^{86} +(-317.555 - 317.555i) q^{87} +(550.468 - 266.835i) q^{88} -158.689i q^{89} +(24.5963 - 1100.85i) q^{90} +92.4525i q^{91} +(621.596 - 24.3239i) q^{92} +(-1061.04 - 1061.04i) q^{93} +(-549.756 - 1257.12i) q^{94} +(597.238 - 218.553i) q^{95} +(670.433 + 1255.49i) q^{96} +(-1117.12 + 1117.12i) q^{97} +(-350.973 + 896.521i) q^{98} +941.372 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 6q^{2} + 8q^{6} - 12q^{8} + O(q^{10}) \) \( 12q - 6q^{2} + 8q^{6} - 12q^{8} - 110q^{10} - 80q^{12} + 116q^{13} + 312q^{16} - 332q^{17} + 198q^{18} + 140q^{20} - 144q^{21} + 360q^{22} + 340q^{25} - 164q^{26} - 880q^{28} - 1240q^{30} - 376q^{32} + 80q^{33} + 460q^{36} + 508q^{37} + 1600q^{38} + 1420q^{40} - 656q^{41} + 1160q^{42} + 1180q^{45} - 1432q^{46} - 2720q^{48} - 1570q^{50} - 932q^{52} - 644q^{53} + 2048q^{56} - 960q^{57} + 1576q^{58} + 3280q^{60} - 896q^{61} + 2440q^{62} - 2740q^{65} - 1680q^{66} - 844q^{68} - 3040q^{70} - 3036q^{72} + 1436q^{73} + 800q^{76} + 3120q^{77} + 3720q^{78} + 1840q^{80} + 5988q^{81} - 1352q^{82} + 500q^{85} - 2552q^{86} - 2400q^{88} - 750q^{90} - 1840q^{92} - 3280q^{93} + 1088q^{96} - 4772q^{97} + 1698q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(17\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.63379 1.03109i −0.931186 0.364544i
\(3\) −5.55970 + 5.55970i −1.06996 + 1.06996i −0.0726035 + 0.997361i \(0.523131\pi\)
−0.997361 + 0.0726035i \(0.976869\pi\)
\(4\) 5.87372 + 5.43134i 0.734215 + 0.678917i
\(5\) −10.4994 + 3.84216i −0.939097 + 0.343653i
\(6\) 20.3756 8.91056i 1.38639 0.606286i
\(7\) 1.14202 + 1.14202i 0.0616631 + 0.0616631i 0.737266 0.675603i \(-0.236117\pi\)
−0.675603 + 0.737266i \(0.736117\pi\)
\(8\) −9.86997 20.3613i −0.436195 0.899852i
\(9\) 34.8205i 1.28965i
\(10\) 31.6149 + 0.706375i 0.999750 + 0.0223375i
\(11\) 27.0350i 0.741033i 0.928826 + 0.370516i \(0.120819\pi\)
−0.928826 + 0.370516i \(0.879181\pi\)
\(12\) −62.8527 + 2.45951i −1.51200 + 0.0591667i
\(13\) 40.4777 + 40.4777i 0.863577 + 0.863577i 0.991752 0.128174i \(-0.0409117\pi\)
−0.128174 + 0.991752i \(0.540912\pi\)
\(14\) −1.83032 4.18535i −0.0349409 0.0798988i
\(15\) 37.0124 79.7348i 0.637104 1.37250i
\(16\) 5.00116 + 63.8043i 0.0781431 + 0.996942i
\(17\) −36.2735 + 36.2735i −0.517507 + 0.517507i −0.916816 0.399309i \(-0.869250\pi\)
0.399309 + 0.916816i \(0.369250\pi\)
\(18\) −35.9029 + 91.7099i −0.470134 + 1.20090i
\(19\) −56.8829 −0.686834 −0.343417 0.939183i \(-0.611584\pi\)
−0.343417 + 0.939183i \(0.611584\pi\)
\(20\) −82.5387 34.4581i −0.922811 0.385254i
\(21\) −12.6985 −0.131955
\(22\) 27.8754 71.2046i 0.270139 0.690039i
\(23\) 54.9839 54.9839i 0.498475 0.498475i −0.412488 0.910963i \(-0.635340\pi\)
0.910963 + 0.412488i \(0.135340\pi\)
\(24\) 168.077 + 58.3288i 1.42952 + 0.496096i
\(25\) 95.4757 80.6808i 0.763805 0.645447i
\(26\) −64.8739 148.346i −0.489339 1.11896i
\(27\) 43.4795 + 43.4795i 0.309912 + 0.309912i
\(28\) 0.505208 + 12.9106i 0.00340983 + 0.0871381i
\(29\) 57.1173i 0.365739i 0.983137 + 0.182869i \(0.0585385\pi\)
−0.983137 + 0.182869i \(0.941461\pi\)
\(30\) −179.696 + 171.842i −1.09360 + 1.04580i
\(31\) 190.845i 1.10570i 0.833281 + 0.552850i \(0.186460\pi\)
−0.833281 + 0.552850i \(0.813540\pi\)
\(32\) 52.6158 173.204i 0.290664 0.956825i
\(33\) −150.306 150.306i −0.792878 0.792878i
\(34\) 132.938 58.1357i 0.670549 0.293241i
\(35\) −16.3783 7.60271i −0.0790983 0.0367169i
\(36\) 189.122 204.526i 0.875564 0.946878i
\(37\) −50.4605 + 50.4605i −0.224207 + 0.224207i −0.810267 0.586060i \(-0.800678\pi\)
0.586060 + 0.810267i \(0.300678\pi\)
\(38\) 149.818 + 58.6513i 0.639570 + 0.250381i
\(39\) −450.088 −1.84799
\(40\) 181.860 + 175.860i 0.718866 + 0.695148i
\(41\) −71.5197 −0.272427 −0.136213 0.990680i \(-0.543493\pi\)
−0.136213 + 0.990680i \(0.543493\pi\)
\(42\) 33.4453 + 13.0933i 0.122874 + 0.0481033i
\(43\) 66.9381 66.9381i 0.237394 0.237394i −0.578376 0.815770i \(-0.696313\pi\)
0.815770 + 0.578376i \(0.196313\pi\)
\(44\) −146.836 + 158.796i −0.503100 + 0.544077i
\(45\) 133.786 + 365.595i 0.443191 + 1.21110i
\(46\) −201.509 + 88.1229i −0.645889 + 0.282457i
\(47\) 343.017 + 343.017i 1.06456 + 1.06456i 0.997767 + 0.0667913i \(0.0212762\pi\)
0.0667913 + 0.997767i \(0.478724\pi\)
\(48\) −382.538 326.928i −1.15030 0.983082i
\(49\) 340.392i 0.992395i
\(50\) −334.652 + 114.053i −0.946539 + 0.322590i
\(51\) 403.339i 1.10743i
\(52\) 17.9066 + 457.603i 0.0477539 + 1.22035i
\(53\) 240.148 + 240.148i 0.622394 + 0.622394i 0.946143 0.323749i \(-0.104943\pi\)
−0.323749 + 0.946143i \(0.604943\pi\)
\(54\) −69.6848 159.347i −0.175609 0.401563i
\(55\) −103.873 283.852i −0.254658 0.695901i
\(56\) 11.9813 34.5247i 0.0285905 0.0823848i
\(57\) 316.252 316.252i 0.734888 0.734888i
\(58\) 58.8929 150.435i 0.133328 0.340571i
\(59\) 738.207 1.62892 0.814461 0.580218i \(-0.197033\pi\)
0.814461 + 0.580218i \(0.197033\pi\)
\(60\) 650.467 267.313i 1.39958 0.575167i
\(61\) −187.952 −0.394506 −0.197253 0.980353i \(-0.563202\pi\)
−0.197253 + 0.980353i \(0.563202\pi\)
\(62\) 196.777 502.645i 0.403077 1.02961i
\(63\) 39.7656 39.7656i 0.0795237 0.0795237i
\(64\) −317.167 + 401.932i −0.619467 + 0.785022i
\(65\) −580.515 269.471i −1.10775 0.514212i
\(66\) 240.897 + 550.855i 0.449278 + 1.02736i
\(67\) −576.434 576.434i −1.05108 1.05108i −0.998623 0.0524612i \(-0.983293\pi\)
−0.0524612 0.998623i \(1.48329\pi\)
\(68\) −410.074 + 16.0468i −0.731305 + 0.0286170i
\(69\) 611.387i 1.06670i
\(70\) 35.2980 + 36.9114i 0.0602703 + 0.0630251i
\(71\) 157.380i 0.263064i 0.991312 + 0.131532i \(0.0419896\pi\)
−0.991312 + 0.131532i \(0.958010\pi\)
\(72\) −708.991 + 343.677i −1.16049 + 0.562538i
\(73\) 180.613 + 180.613i 0.289577 + 0.289577i 0.836913 0.547336i \(-0.184358\pi\)
−0.547336 + 0.836913i \(0.684358\pi\)
\(74\) 184.932 80.8733i 0.290512 0.127045i
\(75\) −82.2548 + 979.377i −0.126640 + 1.50785i
\(76\) −334.114 308.950i −0.504284 0.466303i
\(77\) −30.8744 + 30.8744i −0.0456944 + 0.0456944i
\(78\) 1185.44 + 464.080i 1.72083 + 0.673676i
\(79\) 55.6778 0.0792942 0.0396471 0.999214i \(-0.487377\pi\)
0.0396471 + 0.999214i \(0.487377\pi\)
\(80\) −297.655 650.693i −0.415986 0.909371i
\(81\) 456.687 0.626457
\(82\) 188.368 + 73.7430i 0.253680 + 0.0993116i
\(83\) −858.601 + 858.601i −1.13547 + 1.13547i −0.146213 + 0.989253i \(0.546708\pi\)
−0.989253 + 0.146213i \(0.953292\pi\)
\(84\) −74.5876 68.9700i −0.0968831 0.0895863i
\(85\) 241.482 520.219i 0.308146 0.663832i
\(86\) −245.320 + 107.282i −0.307599 + 0.134518i
\(87\) −317.555 317.555i −0.391327 0.391327i
\(88\) 550.468 266.835i 0.666820 0.323235i
\(89\) 158.689i 0.189000i −0.995525 0.0944998i \(-0.969875\pi\)
0.995525 0.0944998i \(-0.0301252\pi\)
\(90\) 24.5963 1100.85i 0.0288075 1.28933i
\(91\) 92.4525i 0.106502i
\(92\) 621.596 24.3239i 0.704411 0.0275646i
\(93\) −1061.04 1061.04i −1.18306 1.18306i
\(94\) −549.756 1257.12i −0.603223 1.37938i
\(95\) 597.238 218.553i 0.645003 0.236032i
\(96\) 670.433 + 1255.49i 0.712769 + 1.33477i
\(97\) −1117.12 + 1117.12i −1.16935 + 1.16935i −0.186986 + 0.982363i \(0.559872\pi\)
−0.982363 + 0.186986i \(0.940128\pi\)
\(98\) −350.973 + 896.521i −0.361772 + 0.924105i
\(99\) 941.372 0.955671
\(100\) 999.002 + 44.6639i 0.999002 + 0.0446639i
\(101\) 787.780 0.776109 0.388055 0.921636i \(-0.373147\pi\)
0.388055 + 0.921636i \(0.373147\pi\)
\(102\) −415.878 + 1062.31i −0.403706 + 1.03122i
\(103\) 522.455 522.455i 0.499796 0.499796i −0.411578 0.911374i \(-0.635022\pi\)
0.911374 + 0.411578i \(0.135022\pi\)
\(104\) 424.666 1223.69i 0.400403 1.15378i
\(105\) 133.327 48.7898i 0.123918 0.0453466i
\(106\) −384.887 880.114i −0.352674 0.806455i
\(107\) −615.276 615.276i −0.555897 0.555897i 0.372240 0.928137i \(-0.378590\pi\)
−0.928137 + 0.372240i \(0.878590\pi\)
\(108\) 19.2346 + 491.538i 0.0171375 + 0.437947i
\(109\) 398.877i 0.350509i 0.984523 + 0.175254i \(0.0560748\pi\)
−0.984523 + 0.175254i \(0.943925\pi\)
\(110\) −19.0968 + 854.708i −0.0165528 + 0.740848i
\(111\) 561.091i 0.479787i
\(112\) −67.1542 + 78.5770i −0.0566560 + 0.0662931i
\(113\) 692.888 + 692.888i 0.576826 + 0.576826i 0.934028 0.357201i \(-0.116269\pi\)
−0.357201 + 0.934028i \(0.616269\pi\)
\(114\) −1159.03 + 506.859i −0.952216 + 0.416418i
\(115\) −366.042 + 788.555i −0.296814 + 0.639419i
\(116\) −310.223 + 335.491i −0.248306 + 0.268531i
\(117\) 1409.45 1409.45i 1.11371 1.11371i
\(118\) −1944.28 761.156i −1.51683 0.593814i
\(119\) −82.8499 −0.0638221
\(120\) −1988.82 + 33.3597i −1.51295 + 0.0253776i
\(121\) 600.109 0.450871
\(122\) 495.028 + 193.795i 0.367358 + 0.143815i
\(123\) 397.628 397.628i 0.291487 0.291487i
\(124\) −1036.54 + 1120.97i −0.750679 + 0.811821i
\(125\) −692.451 + 1213.93i −0.495477 + 0.868621i
\(126\) −145.736 + 63.7325i −0.103041 + 0.0450614i
\(127\) 498.629 + 498.629i 0.348395 + 0.348395i 0.859512 0.511116i \(-0.170768\pi\)
−0.511116 + 0.859512i \(0.670768\pi\)
\(128\) 1249.78 731.577i 0.863015 0.505179i
\(129\) 744.311i 0.508007i
\(130\) 1251.11 + 1308.29i 0.844072 + 0.882652i
\(131\) 1747.61i 1.16557i −0.812626 0.582785i \(-0.801963\pi\)
0.812626 0.582785i \(-0.198037\pi\)
\(132\) −66.4929 1699.22i −0.0438444 1.12044i
\(133\) −64.9613 64.9613i −0.0423523 0.0423523i
\(134\) 923.854 + 2112.56i 0.595588 + 1.36192i
\(135\) −623.565 289.455i −0.397540 0.184535i
\(136\) 1096.59 + 380.558i 0.691413 + 0.239945i
\(137\) 124.289 124.289i 0.0775092 0.0775092i −0.667289 0.744799i \(-0.732546\pi\)
0.744799 + 0.667289i \(0.232546\pi\)
\(138\) 630.394 1610.27i 0.388860 0.993297i
\(139\) 9.83873 0.00600367 0.00300184 0.999995i \(-0.499044\pi\)
0.00300184 + 0.999995i \(0.499044\pi\)
\(140\) −54.9088 133.612i −0.0331474 0.0806593i
\(141\) −3814.15 −2.27808
\(142\) 162.272 414.506i 0.0958985 0.244962i
\(143\) −1094.32 + 1094.32i −0.639939 + 0.639939i
\(144\) 2221.70 174.143i 1.28570 0.100777i
\(145\) −219.454 599.699i −0.125687 0.343464i
\(146\) −289.469 661.925i −0.164087 0.375214i
\(147\) 1892.47 + 1892.47i 1.06183 + 1.06183i
\(148\) −570.459 + 22.3229i −0.316834 + 0.0123982i
\(149\) 2840.41i 1.56171i −0.624711 0.780856i \(-0.714783\pi\)
0.624711 0.780856i \(-0.285217\pi\)
\(150\) 1226.46 2494.66i 0.667603 1.35792i
\(151\) 2913.54i 1.57020i 0.619368 + 0.785101i \(0.287389\pi\)
−0.619368 + 0.785101i \(0.712611\pi\)
\(152\) 561.433 + 1158.21i 0.299594 + 0.618049i
\(153\) 1263.06 + 1263.06i 0.667401 + 0.667401i
\(154\) 113.151 49.4826i 0.0592076 0.0258923i
\(155\) −733.255 2003.76i −0.379977 1.03836i
\(156\) −2643.69 2444.58i −1.35682 1.25463i
\(157\) 1572.29 1572.29i 0.799251 0.799251i −0.183727 0.982977i \(-0.558816\pi\)
0.982977 + 0.183727i \(0.0588161\pi\)
\(158\) −146.644 57.4087i −0.0738377 0.0289063i
\(159\) −2670.30 −1.33188
\(160\) 113.041 + 2020.70i 0.0558544 + 0.998439i
\(161\) 125.585 0.0614751
\(162\) −1202.82 470.884i −0.583348 0.228371i
\(163\) 1457.19 1457.19i 0.700222 0.700222i −0.264236 0.964458i \(-0.585120\pi\)
0.964458 + 0.264236i \(0.0851199\pi\)
\(164\) −420.087 388.448i −0.200020 0.184955i
\(165\) 2155.63 + 1000.63i 1.01706 + 0.472115i
\(166\) 3146.67 1376.08i 1.47126 0.643402i
\(167\) 801.239 + 801.239i 0.371268 + 0.371268i 0.867939 0.496671i \(-0.165444\pi\)
−0.496671 + 0.867939i \(0.665444\pi\)
\(168\) 125.334 + 258.559i 0.0575580 + 0.118740i
\(169\) 1079.90i 0.491532i
\(170\) −1172.41 + 1121.16i −0.528937 + 0.505818i
\(171\) 1980.69i 0.885773i
\(172\) 756.739 29.6122i 0.335470 0.0131274i
\(173\) −1180.59 1180.59i −0.518837 0.518837i 0.398382 0.917220i \(-0.369572\pi\)
−0.917220 + 0.398382i \(0.869572\pi\)
\(174\) 508.947 + 1163.80i 0.221742 + 0.507055i
\(175\) 201.174 + 16.8959i 0.0868989 + 0.00729836i
\(176\) −1724.95 + 135.206i −0.738767 + 0.0579066i
\(177\) −4104.21 + 4104.21i −1.74289 + 1.74289i
\(178\) −163.622 + 417.953i −0.0688987 + 0.175994i
\(179\) −3724.41 −1.55517 −0.777585 0.628778i \(-0.783555\pi\)
−0.777585 + 0.628778i \(0.783555\pi\)
\(180\) −1199.85 + 2874.04i −0.496841 + 1.19010i
\(181\) 545.856 0.224161 0.112081 0.993699i \(-0.464249\pi\)
0.112081 + 0.993699i \(0.464249\pi\)
\(182\) 95.3266 243.501i 0.0388246 0.0991729i
\(183\) 1044.96 1044.96i 0.422107 0.422107i
\(184\) −1662.23 576.855i −0.665986 0.231121i
\(185\) 335.929 723.683i 0.133503 0.287601i
\(186\) 1700.53 + 3888.58i 0.670371 + 1.53293i
\(187\) −980.654 980.654i −0.383489 0.383489i
\(188\) 151.745 + 3877.83i 0.0588677 + 1.50436i
\(189\) 99.3087i 0.0382203i
\(190\) −1798.35 40.1807i −0.686662 0.0153422i
\(191\) 3668.60i 1.38980i −0.719109 0.694898i \(-0.755450\pi\)
0.719109 0.694898i \(-0.244550\pi\)
\(192\) −471.264 3997.97i −0.177138 1.50275i
\(193\) −715.028 715.028i −0.266678 0.266678i 0.561082 0.827760i \(-0.310385\pi\)
−0.827760 + 0.561082i \(0.810385\pi\)
\(194\) 4094.13 1790.42i 1.51516 0.662602i
\(195\) 4725.66 1729.31i 1.73545 0.635069i
\(196\) 1848.78 1999.36i 0.673754 0.728631i
\(197\) 272.976 272.976i 0.0987246 0.0987246i −0.656019 0.754744i \(-0.727761\pi\)
0.754744 + 0.656019i \(0.227761\pi\)
\(198\) −2479.38 970.636i −0.889907 0.348384i
\(199\) 4554.16 1.62229 0.811146 0.584844i \(-0.198844\pi\)
0.811146 + 0.584844i \(0.198844\pi\)
\(200\) −2585.11 1147.69i −0.913975 0.405771i
\(201\) 6409.60 2.24925
\(202\) −2074.85 812.269i −0.722702 0.282926i
\(203\) −65.2289 + 65.2289i −0.0225526 + 0.0225526i
\(204\) 2190.67 2369.10i 0.751851 0.813090i
\(205\) 750.915 274.790i 0.255835 0.0936203i
\(206\) −1914.73 + 837.341i −0.647601 + 0.283205i
\(207\) −1914.56 1914.56i −0.642857 0.642857i
\(208\) −2380.22 + 2785.09i −0.793454 + 0.928419i
\(209\) 1537.83i 0.508966i
\(210\) −401.463 8.96992i −0.131922 0.00294754i
\(211\) 4250.89i 1.38694i 0.720487 + 0.693468i \(0.243918\pi\)
−0.720487 + 0.693468i \(0.756082\pi\)
\(212\) 106.237 + 2714.89i 0.0344170 + 0.879525i
\(213\) −874.984 874.984i −0.281469 0.281469i
\(214\) 986.105 + 2254.91i 0.314994 + 0.720292i
\(215\) −445.624 + 959.998i −0.141355 + 0.304518i
\(216\) 456.159 1314.44i 0.143693 0.414058i
\(217\) −217.948 + 217.948i −0.0681809 + 0.0681809i
\(218\) 411.276 1050.56i 0.127776 0.326389i
\(219\) −2008.31 −0.619675
\(220\) 931.576 2231.43i 0.285486 0.683833i
\(221\) −2936.54 −0.893814
\(222\) −578.533 + 1477.80i −0.174904 + 0.446771i
\(223\) −258.746 + 258.746i −0.0776991 + 0.0776991i −0.744888 0.667189i \(-0.767497\pi\)
0.667189 + 0.744888i \(0.267497\pi\)
\(224\) 257.890 137.714i 0.0769241 0.0410776i
\(225\) −2809.35 3324.51i −0.832399 0.985040i
\(226\) −1110.49 2539.35i −0.326854 0.747412i
\(227\) 2127.58 + 2127.58i 0.622080 + 0.622080i 0.946063 0.323983i \(-0.105022\pi\)
−0.323983 + 0.946063i \(0.605022\pi\)
\(228\) 3575.25 139.904i 1.03849 0.0406377i
\(229\) 4654.98i 1.34328i 0.740880 + 0.671638i \(0.234409\pi\)
−0.740880 + 0.671638i \(0.765591\pi\)
\(230\) 1777.15 1699.47i 0.509486 0.487216i
\(231\) 343.305i 0.0977827i
\(232\) 1162.98 563.746i 0.329111 0.159533i
\(233\) 3392.53 + 3392.53i 0.953871 + 0.953871i 0.998982 0.0451108i \(-0.0143641\pi\)
−0.0451108 + 0.998982i \(0.514364\pi\)
\(234\) −5165.48 + 2258.94i −1.44307 + 0.631075i
\(235\) −4919.41 2283.56i −1.36556 0.633885i
\(236\) 4336.02 + 4009.45i 1.19598 + 1.10590i
\(237\) −309.552 + 309.552i −0.0848420 + 0.0848420i
\(238\) 218.209 + 85.4254i 0.0594303 + 0.0232660i
\(239\) 1434.32 0.388195 0.194098 0.980982i \(-0.437822\pi\)
0.194098 + 0.980982i \(0.437822\pi\)
\(240\) 5272.53 + 1962.78i 1.41808 + 0.527904i
\(241\) −6438.62 −1.72094 −0.860472 0.509497i \(-0.829831\pi\)
−0.860472 + 0.509497i \(0.829831\pi\)
\(242\) −1580.56 618.764i −0.419845 0.164362i
\(243\) −3712.99 + 3712.99i −0.980199 + 0.980199i
\(244\) −1103.98 1020.83i −0.289652 0.267837i
\(245\) 1307.84 + 3573.91i 0.341040 + 0.931955i
\(246\) −1457.26 + 637.280i −0.377689 + 0.165169i
\(247\) −2302.49 2302.49i −0.593134 0.593134i
\(248\) 3885.85 1883.63i 0.994966 0.482301i
\(249\) 9547.12i 2.42982i
\(250\) 3075.44 2483.27i 0.778032 0.628224i
\(251\) 1877.58i 0.472159i 0.971734 + 0.236079i \(0.0758626\pi\)
−0.971734 + 0.236079i \(0.924137\pi\)
\(252\) 449.552 17.5916i 0.112377 0.00439748i
\(253\) 1486.49 + 1486.49i 0.369386 + 0.369386i
\(254\) −799.156 1827.42i −0.197415 0.451426i
\(255\) 1549.69 + 4234.83i 0.380571 + 1.03998i
\(256\) −4045.98 + 638.191i −0.987787 + 0.155808i
\(257\) 1940.33 1940.33i 0.470952 0.470952i −0.431270 0.902223i \(-0.641934\pi\)
0.902223 + 0.431270i \(0.141934\pi\)
\(258\) 767.449 1960.36i 0.185191 0.473049i
\(259\) −115.254 −0.0276506
\(260\) −1946.19 4735.77i −0.464222 1.12961i
\(261\) 1988.85 0.471674
\(262\) −1801.94 + 4602.85i −0.424902 + 1.08536i
\(263\) −1004.94 + 1004.94i −0.235616 + 0.235616i −0.815032 0.579416i \(-0.803281\pi\)
0.579416 + 0.815032i \(0.303281\pi\)
\(264\) −1576.92 + 4543.96i −0.367623 + 1.05932i
\(265\) −3444.10 1598.73i −0.798376 0.370601i
\(266\) 104.114 + 238.075i 0.0239986 + 0.0548772i
\(267\) 882.261 + 882.261i 0.202223 + 0.202223i
\(268\) −255.004 6516.62i −0.0581227 1.48532i
\(269\) 6594.94i 1.49480i 0.664376 + 0.747398i \(0.268697\pi\)
−0.664376 + 0.747398i \(0.731303\pi\)
\(270\) 1343.89 + 1405.31i 0.302912 + 0.316758i
\(271\) 4781.49i 1.07179i −0.844285 0.535895i \(-0.819974\pi\)
0.844285 0.535895i \(-0.180026\pi\)
\(272\) −2495.81 2133.00i −0.556364 0.475485i
\(273\) −514.008 514.008i −0.113953 0.113953i
\(274\) −455.506 + 199.199i −0.100431 + 0.0439200i
\(275\) 2181.21 + 2581.18i 0.478297 + 0.566005i
\(276\) −3320.65 + 3591.12i −0.724202 + 0.783188i
\(277\) 5490.27 5490.27i 1.19090 1.19090i 0.214082 0.976816i \(-0.431324\pi\)
0.976816 0.214082i \(-0.0686760\pi\)
\(278\) −25.9132 10.1446i −0.00559053 0.00218860i
\(279\) 6645.30 1.42596
\(280\) 6.85241 + 408.523i 0.00146253 + 0.0871925i
\(281\) 3046.29 0.646714 0.323357 0.946277i \(-0.395189\pi\)
0.323357 + 0.946277i \(0.395189\pi\)
\(282\) 10045.7 + 3932.72i 2.12132 + 0.830461i
\(283\) 5858.21 5858.21i 1.23051 1.23051i 0.266743 0.963768i \(-0.414053\pi\)
0.963768 0.266743i \(-0.0859474\pi\)
\(284\) −854.783 + 924.405i −0.178599 + 0.193146i
\(285\) −2105.37 + 4535.55i −0.437584 + 0.942677i
\(286\) 4010.53 1753.87i 0.829188 0.362616i
\(287\) −81.6767 81.6767i −0.0167987 0.0167987i
\(288\) −6031.04 1832.11i −1.23397 0.374854i
\(289\) 2281.47i 0.464374i
\(290\) −40.3462 + 1805.76i −0.00816969 + 0.365647i
\(291\) 12421.8i 2.50232i
\(292\) 79.9000 + 2041.84i 0.0160130 + 0.409211i
\(293\) −5371.12 5371.12i −1.07094 1.07094i −0.997284 0.0736515i \(-0.976535\pi\)
−0.0736515 0.997284i \(-0.523465\pi\)
\(294\) −3033.08 6935.69i −0.601676 1.37584i
\(295\) −7750.75 + 2836.31i −1.52972 + 0.559784i
\(296\) 1525.49 + 529.399i 0.299551 + 0.103955i
\(297\) −1175.47 + 1175.47i −0.229655 + 0.229655i
\(298\) −2928.71 + 7481.04i −0.569314 + 1.45425i
\(299\) 4451.25 0.860944
\(300\) −5802.47 + 5305.83i −1.11669 + 1.02111i
\(301\) 152.889 0.0292770
\(302\) 3004.11 7673.66i 0.572408 1.46215i
\(303\) −4379.82 + 4379.82i −0.830409 + 0.830409i
\(304\) −284.481 3629.38i −0.0536713 0.684734i
\(305\) 1973.39 722.143i 0.370479 0.135573i
\(306\) −2024.31 4628.96i −0.378177 0.864772i
\(307\) −1464.75 1464.75i −0.272306 0.272306i 0.557722 0.830028i \(-0.311676\pi\)
−0.830028 + 0.557722i \(0.811676\pi\)
\(308\) −349.037 + 13.6583i −0.0645722 + 0.00252680i
\(309\) 5809.38i 1.06953i
\(310\) −134.808 + 6033.53i −0.0246986 + 1.10542i
\(311\) 1381.23i 0.251840i 0.992040 + 0.125920i \(0.0401882\pi\)
−0.992040 + 0.125920i \(0.959812\pi\)
\(312\) 4442.36 + 9164.39i 0.806086 + 1.66292i
\(313\) −1989.95 1989.95i −0.359356 0.359356i 0.504220 0.863575i \(-0.331780\pi\)
−0.863575 + 0.504220i \(0.831780\pi\)
\(314\) −5762.25 + 2519.92i −1.03561 + 0.452889i
\(315\) −264.730 + 570.301i −0.0473519 + 0.102009i
\(316\) 327.036 + 302.405i 0.0582190 + 0.0538342i
\(317\) −2078.83 + 2078.83i −0.368325 + 0.368325i −0.866866 0.498541i \(-0.833869\pi\)
0.498541 + 0.866866i \(0.333869\pi\)
\(318\) 7033.02 + 2753.31i 1.24023 + 0.485529i
\(319\) −1544.17 −0.271024
\(320\) 1785.79 5438.65i 0.311964 0.950094i
\(321\) 6841.49 1.18958
\(322\) −330.765 129.489i −0.0572447 0.0224104i
\(323\) 2063.34 2063.34i 0.355441 0.355441i
\(324\) 2682.45 + 2480.42i 0.459954 + 0.425312i
\(325\) 7130.42 + 598.861i 1.21700 + 0.102212i
\(326\) −5340.43 + 2335.45i −0.907298 + 0.396775i
\(327\) −2217.63 2217.63i −0.375032 0.375032i
\(328\) 705.898 + 1456.24i 0.118831 + 0.245144i
\(329\) 783.463i 0.131288i
\(330\) −4645.75 4858.09i −0.774970 0.810392i
\(331\) 8633.95i 1.43373i 0.697211 + 0.716866i \(0.254424\pi\)
−0.697211 + 0.716866i \(0.745576\pi\)
\(332\) −9706.53 + 379.830i −1.60456 + 0.0627888i
\(333\) 1757.06 + 1757.06i 0.289148 + 0.289148i
\(334\) −1284.15 2936.44i −0.210376 0.481063i
\(335\) 8266.97 + 3837.47i 1.34828 + 0.625862i
\(336\) −63.5074 810.221i −0.0103113 0.131551i
\(337\) −3115.08 + 3115.08i −0.503528 + 0.503528i −0.912532 0.409004i \(-0.865876\pi\)
0.409004 + 0.912532i \(0.365876\pi\)
\(338\) 1113.47 2844.22i 0.179185 0.457708i
\(339\) −7704.49 −1.23437
\(340\) 4243.88 1744.05i 0.676932 0.278189i
\(341\) −5159.48 −0.819360
\(342\) 2042.26 5216.73i 0.322904 0.824820i
\(343\) 780.445 780.445i 0.122857 0.122857i
\(344\) −2023.62 702.271i −0.317170 0.110070i
\(345\) −2349.05 6419.21i −0.366575 1.00174i
\(346\) 1892.14 + 4326.73i 0.293995 + 0.672273i
\(347\) 646.980 + 646.980i 0.100091 + 0.100091i 0.755379 0.655288i \(-0.227453\pi\)
−0.655288 + 0.755379i \(0.727453\pi\)
\(348\) −140.481 3589.98i −0.0216395 0.552997i
\(349\) 9611.76i 1.47423i −0.675768 0.737114i \(-0.736188\pi\)
0.675768 0.737114i \(-0.263812\pi\)
\(350\) −512.428 251.928i −0.0782584 0.0384746i
\(351\) 3519.90i 0.535267i
\(352\) 4682.57 + 1422.47i 0.709039 + 0.215391i
\(353\) −5085.16 5085.16i −0.766730 0.766730i 0.210799 0.977529i \(-0.432393\pi\)
−0.977529 + 0.210799i \(0.932393\pi\)
\(354\) 15041.4 6577.84i 2.25831 0.987593i
\(355\) −604.678 1652.40i −0.0904027 0.247043i
\(356\) 861.892 932.093i 0.128315 0.138766i
\(357\) 460.620 460.620i 0.0682874 0.0682874i
\(358\) 9809.32 + 3840.19i 1.44815 + 0.566928i
\(359\) −5598.06 −0.822992 −0.411496 0.911411i \(-0.634994\pi\)
−0.411496 + 0.911411i \(0.634994\pi\)
\(360\) 6123.53 6332.47i 0.896496 0.927084i
\(361\) −3623.33 −0.528259
\(362\) −1437.67 562.825i −0.208736 0.0817167i
\(363\) −3336.42 + 3336.42i −0.482416 + 0.482416i
\(364\) −502.141 + 543.040i −0.0723059 + 0.0781952i
\(365\) −2590.28 1202.39i −0.371455 0.172427i
\(366\) −3829.65 + 1674.76i −0.546937 + 0.239183i
\(367\) 3676.76 + 3676.76i 0.522957 + 0.522957i 0.918463 0.395506i \(-0.129431\pi\)
−0.395506 + 0.918463i \(0.629431\pi\)
\(368\) 3783.19 + 3233.22i 0.535903 + 0.457999i
\(369\) 2490.35i 0.351335i
\(370\) −1630.95 + 1559.66i −0.229159 + 0.219143i
\(371\) 548.506i 0.0767575i
\(372\) −469.385 11995.1i −0.0654206 1.67182i
\(373\) 6801.10 + 6801.10i 0.944096 + 0.944096i 0.998518 0.0544219i \(-0.0173316\pi\)
−0.0544219 + 0.998518i \(0.517332\pi\)
\(374\) 1571.70 + 3593.98i 0.217301 + 0.496899i
\(375\) −2899.29 10598.9i −0.399250 1.45954i
\(376\) 3598.72 10369.9i 0.493590 1.42230i
\(377\) −2311.98 + 2311.98i −0.315844 + 0.315844i
\(378\) 102.396 261.558i 0.0139330 0.0355902i
\(379\) 9992.48 1.35430 0.677150 0.735845i \(-0.263215\pi\)
0.677150 + 0.735845i \(0.263215\pi\)
\(380\) 4695.04 + 1960.08i 0.633818 + 0.264605i
\(381\) −5544.46 −0.745541
\(382\) −3782.65 + 9662.34i −0.506642 + 1.29416i
\(383\) 1910.84 1910.84i 0.254932 0.254932i −0.568057 0.822989i \(-0.692305\pi\)
0.822989 + 0.568057i \(0.192305\pi\)
\(384\) −2881.05 + 11015.7i −0.382872 + 1.46392i
\(385\) 205.539 442.788i 0.0272084 0.0586144i
\(386\) 1145.98 + 2620.49i 0.151111 + 0.345543i
\(387\) −2330.82 2330.82i −0.306155 0.306155i
\(388\) −12629.2 + 494.196i −1.65244 + 0.0646624i
\(389\) 152.974i 0.0199385i −0.999950 0.00996927i \(-0.996827\pi\)
0.999950 0.00996927i \(-0.00317337\pi\)
\(390\) −14229.5 317.931i −1.84753 0.0412796i
\(391\) 3988.91i 0.515929i
\(392\) −6930.82 + 3359.66i −0.893009 + 0.432878i
\(393\) 9716.21 + 9716.21i 1.24712 + 1.24712i
\(394\) −1000.42 + 437.500i −0.127920 + 0.0559415i
\(395\) −584.585 + 213.923i −0.0744649 + 0.0272497i
\(396\) 5529.35 + 5112.91i 0.701668 + 0.648821i
\(397\) 3823.37 3823.37i 0.483349 0.483349i −0.422850 0.906199i \(-0.638970\pi\)
0.906199 + 0.422850i \(0.138970\pi\)
\(398\) −11994.7 4695.74i −1.51065 0.591397i
\(399\) 722.330 0.0906309
\(400\) 5625.27 + 5688.26i 0.703159 + 0.711033i
\(401\) 10939.9 1.36238 0.681190 0.732106i \(-0.261463\pi\)
0.681190 + 0.732106i \(0.261463\pi\)
\(402\) −16881.6 6608.85i −2.09447 0.819949i
\(403\) −7724.96 + 7724.96i −0.954858 + 0.954858i
\(404\) 4627.20 + 4278.70i 0.569831 + 0.526914i
\(405\) −4794.95 + 1754.66i −0.588304 + 0.215284i
\(406\) 239.056 104.543i 0.0292221 0.0127792i
\(407\) −1364.20 1364.20i −0.166145 0.166145i
\(408\) −8212.52 + 3980.95i −0.996521 + 0.483055i
\(409\) 2982.65i 0.360593i −0.983612 0.180296i \(-0.942294\pi\)
0.983612 0.180296i \(-0.0577057\pi\)
\(410\) −2261.09 50.5197i −0.272359 0.00608534i
\(411\) 1382.02i 0.165864i
\(412\) 5906.38 231.125i 0.706278 0.0276376i
\(413\) 843.045 + 843.045i 0.100444 + 0.100444i
\(414\) 3068.48 + 7016.65i 0.364270 + 0.832970i
\(415\) 5715.93 12313.7i 0.676106 1.45652i
\(416\) 9140.67 4881.13i 1.07730 0.575282i
\(417\) −54.7004 + 54.7004i −0.00642371 + 0.00642371i
\(418\) −1585.64 + 4050.32i −0.185541 + 0.473942i
\(419\) −2828.22 −0.329755 −0.164878 0.986314i \(-0.552723\pi\)
−0.164878 + 0.986314i \(0.552723\pi\)
\(420\) 1048.12 + 437.568i 0.121769 + 0.0508360i
\(421\) 739.946 0.0856597 0.0428299 0.999082i \(-0.486363\pi\)
0.0428299 + 0.999082i \(0.486363\pi\)
\(422\) 4383.04 11196.0i 0.505600 1.29150i
\(423\) 11944.0 11944.0i 1.37290 1.37290i
\(424\) 2519.48 7259.99i 0.288577 0.831548i
\(425\) −536.660 + 6389.81i −0.0612514 + 0.729297i
\(426\) 1402.34 + 3206.71i 0.159492 + 0.364708i
\(427\) −214.645 214.645i −0.0243265 0.0243265i
\(428\) −272.187 6955.73i −0.0307399 0.785555i
\(429\) 12168.1i 1.36942i
\(430\) 2163.52 2068.96i 0.242638 0.232032i
\(431\) 7074.45i 0.790636i −0.918544 0.395318i \(-0.870634\pi\)
0.918544 0.395318i \(-0.129366\pi\)
\(432\) −2556.73 + 2991.63i −0.284747 + 0.333182i
\(433\) 2645.06 + 2645.06i 0.293564 + 0.293564i 0.838487 0.544922i \(-0.183441\pi\)
−0.544922 + 0.838487i \(0.683441\pi\)
\(434\) 798.752 349.306i 0.0883441 0.0386341i
\(435\) 4554.24 + 2114.05i 0.501975 + 0.233013i
\(436\) −2166.43 + 2342.89i −0.237966 + 0.257349i
\(437\) −3127.64 + 3127.64i −0.342370 + 0.342370i
\(438\) 5289.46 + 2070.74i 0.577033 + 0.225899i
\(439\) −12903.4 −1.40284 −0.701419 0.712750i \(-0.747450\pi\)
−0.701419 + 0.712750i \(0.747450\pi\)
\(440\) −4754.38 + 4916.60i −0.515128 + 0.532703i
\(441\) −11852.6 −1.27984
\(442\) 7734.23 + 3027.83i 0.832307 + 0.325835i
\(443\) 2108.72 2108.72i 0.226159 0.226159i −0.584927 0.811086i \(-0.698877\pi\)
0.811086 + 0.584927i \(0.198877\pi\)
\(444\) 3047.47 3295.69i 0.325736 0.352267i
\(445\) 609.707 + 1666.14i 0.0649503 + 0.177489i
\(446\) 948.272 414.693i 0.100677 0.0440275i
\(447\) 15791.8 + 15791.8i 1.67098 + 1.67098i
\(448\) −821.223 + 96.8022i −0.0866052 + 0.0102087i
\(449\) 136.127i 0.0143079i −0.999974 0.00715394i \(-0.997723\pi\)
0.999974 0.00715394i \(-0.00227719\pi\)
\(450\) 3971.37 + 11652.7i 0.416027 + 1.22070i
\(451\) 1933.53i 0.201877i
\(452\) 306.521 + 7833.13i 0.0318972 + 0.815132i
\(453\) −16198.4 16198.4i −1.68006 1.68006i
\(454\) −3409.88 7797.31i −0.352497 0.806048i
\(455\) −355.217 970.698i −0.0365996 0.100015i
\(456\) −9560.71 3317.91i −0.981845 0.340736i
\(457\) −6660.47 + 6660.47i −0.681759 + 0.681759i −0.960396 0.278638i \(-0.910117\pi\)
0.278638 + 0.960396i \(0.410117\pi\)
\(458\) 4799.69 12260.3i 0.489683 1.25084i
\(459\) −3154.31 −0.320764
\(460\) −6432.94 + 2643.66i −0.652038 + 0.267959i
\(461\) 9556.54 0.965493 0.482747 0.875760i \(-0.339639\pi\)
0.482747 + 0.875760i \(0.339639\pi\)
\(462\) −353.977 + 904.194i −0.0356461 + 0.0910539i
\(463\) −914.613 + 914.613i −0.0918049 + 0.0918049i −0.751518 0.659713i \(-0.770678\pi\)
0.659713 + 0.751518i \(0.270678\pi\)
\(464\) −3644.33 + 285.653i −0.364620 + 0.0285799i
\(465\) 15217.0 + 7063.61i 1.51757 + 0.704446i
\(466\) −5437.22 12433.2i −0.540503 1.23596i
\(467\) −541.819 541.819i −0.0536882 0.0536882i 0.679753 0.733441i \(-0.262087\pi\)
−0.733441 + 0.679753i \(0.762087\pi\)
\(468\) 15934.0 623.518i 1.57382 0.0615857i
\(469\) 1316.59i 0.129626i
\(470\) 10602.2 + 11086.8i 1.04051 + 1.08807i
\(471\) 17482.9i 1.71034i
\(472\) −7286.09 15030.9i −0.710528 1.46579i
\(473\) 1809.67 + 1809.67i 0.175917 + 0.175917i
\(474\) 1134.47 496.120i 0.109932 0.0480750i
\(475\) −5430.94 + 4589.36i −0.524607 + 0.443315i
\(476\) −486.637 449.986i −0.0468592 0.0433299i
\(477\) 8362.07 8362.07i 0.802669 0.802669i
\(478\) −3777.71 1478.91i −0.361482 0.141514i
\(479\) −19357.9 −1.84652 −0.923260 0.384176i \(-0.874486\pi\)
−0.923260 + 0.384176i \(0.874486\pi\)
\(480\) −11862.9 10606.0i −1.12806 1.00853i
\(481\) −4085.06 −0.387240
\(482\) 16958.0 + 6638.77i 1.60252 + 0.627361i
\(483\) −698.215 + 698.215i −0.0657761 + 0.0657761i
\(484\) 3524.87 + 3259.39i 0.331036 + 0.306104i
\(485\) 7436.99 16021.3i 0.696281 1.49998i
\(486\) 13607.7 5950.83i 1.27007 0.555422i
\(487\) −141.166 141.166i −0.0131352 0.0131352i 0.700509 0.713644i \(-0.252956\pi\)
−0.713644 + 0.700509i \(0.752956\pi\)
\(488\) 1855.09 + 3826.96i 0.172082 + 0.354997i
\(489\) 16203.1i 1.49842i
\(490\) 240.444 10761.4i 0.0221677 0.992148i
\(491\) 929.849i 0.0854654i −0.999087 0.0427327i \(-0.986394\pi\)
0.999087 0.0427327i \(-0.0136064\pi\)
\(492\) 4495.21 175.904i 0.411910 0.0161186i
\(493\) −2071.84 2071.84i −0.189272 0.189272i
\(494\) 3690.22 + 8438.36i 0.336095 + 0.768542i
\(495\) −9883.86 + 3616.90i −0.897467 + 0.328419i
\(496\) −12176.7 + 954.444i −1.10232 + 0.0864028i
\(497\) −179.730 + 179.730i −0.0162213 + 0.0162213i
\(498\) −9843.91 + 25145.1i −0.885776 + 2.26261i
\(499\) 13526.6 1.21349 0.606747 0.794895i \(-0.292474\pi\)
0.606747 + 0.794895i \(0.292474\pi\)
\(500\) −10660.5 + 3369.38i −0.953508 + 0.301366i
\(501\) −8909.29 −0.794487
\(502\) 1935.95 4945.16i 0.172123 0.439668i
\(503\) −4770.81 + 4770.81i −0.422902 + 0.422902i −0.886202 0.463300i \(-0.846665\pi\)
0.463300 + 0.886202i \(0.346665\pi\)
\(504\) −1202.16 417.195i −0.106247 0.0368717i
\(505\) −8271.23 + 3026.77i −0.728842 + 0.266712i
\(506\) −2382.40 5447.80i −0.209310 0.478625i
\(507\) −6003.89 6003.89i −0.525922 0.525922i
\(508\) 220.585 + 5637.03i 0.0192655 + 0.492328i
\(509\) 8188.23i 0.713039i 0.934288 + 0.356520i \(0.116037\pi\)
−0.934288 + 0.356520i \(0.883963\pi\)
\(510\) 284.909 12751.5i 0.0247372 1.10715i
\(511\) 412.526i 0.0357125i
\(512\) 11314.3 + 2490.89i 0.976613 + 0.215006i
\(513\) −2473.24 2473.24i −0.212858 0.212858i
\(514\) −7111.09 + 3109.78i −0.610227 + 0.266861i
\(515\) −3478.12 + 7492.83i −0.297600 + 0.641113i
\(516\) −4042.60 + 4371.87i −0.344895 + 0.372986i
\(517\) −9273.48 + 9273.48i −0.788872 + 0.788872i
\(518\) 303.554 + 118.836i 0.0257479 + 0.0100799i
\(519\) 13127.5 1.11028
\(520\) 242.877 + 14479.7i 0.0204824 + 1.22111i
\(521\) −5465.70 −0.459610 −0.229805 0.973237i \(-0.573809\pi\)
−0.229805 + 0.973237i \(0.573809\pi\)
\(522\) −5238.22 2050.68i −0.439216 0.171946i
\(523\) 9877.72 9877.72i 0.825856 0.825856i −0.161085 0.986941i \(-0.551499\pi\)
0.986941 + 0.161085i \(0.0514993\pi\)
\(524\) 9491.88 10265.0i 0.791326 0.855780i
\(525\) −1212.40 + 1024.53i −0.100788 + 0.0851697i
\(526\) 3682.97 1610.62i 0.305295 0.133510i
\(527\) −6922.60 6922.60i −0.572207 0.572207i
\(528\) 8838.49 10341.9i 0.728496 0.852412i
\(529\) 6120.55i 0.503045i
\(530\) 7422.62 + 7761.89i 0.608336 + 0.636142i
\(531\) 25704.7i 2.10073i
\(532\) −28.7377 734.391i −0.00234199 0.0598494i
\(533\) −2894.96 2894.96i −0.235262 0.235262i
\(534\) −1414.00 3233.38i −0.114588 0.262026i
\(535\) 8824.02 + 4096.05i 0.713076 + 0.331005i
\(536\) −6047.57 + 17426.4i −0.487342 + 1.40430i
\(537\) 20706.6 20706.6i 1.66398 1.66398i
\(538\) 6799.95 17369.7i 0.544920 1.39193i
\(539\) 9202.49 0.735397
\(540\) −2090.52 5086.97i −0.166596 0.405385i
\(541\) 15069.4 1.19757 0.598784 0.800910i \(-0.295651\pi\)
0.598784 + 0.800910i \(0.295651\pi\)
\(542\) −4930.13 + 12593.5i −0.390715 + 0.998035i
\(543\) −3034.80 + 3034.80i −0.239845 + 0.239845i
\(544\) 4374.15 + 8191.27i 0.344743 + 0.645584i
\(545\) −1532.55 4187.97i −0.120453 0.329162i
\(546\) 823.803 + 1883.78i 0.0645706 + 0.147652i
\(547\) 4573.04 + 4573.04i 0.357457 + 0.357457i 0.862875 0.505418i \(-0.168662\pi\)
−0.505418 + 0.862875i \(0.668662\pi\)
\(548\) 1405.10 54.9835i 0.109531 0.00428609i
\(549\) 6544.60i 0.508773i
\(550\) −3083.42 9047.32i −0.239050 0.701416i
\(551\) 3249.00i 0.251202i
\(552\) 12448.7 6034.38i 0.959873 0.465290i
\(553\) 63.5850 + 63.5850i 0.00488953 + 0.00488953i
\(554\) −20121.2 + 8799.29i −1.54308 + 0.674812i
\(555\) 2155.80 + 5891.13i 0.164880 + 0.450566i
\(556\) 57.7899 + 53.4375i 0.00440798 + 0.00407599i
\(557\) 1915.65 1915.65i 0.145725 0.145725i −0.630480 0.776205i \(-0.717142\pi\)
0.776205 + 0.630480i \(0.217142\pi\)
\(558\) −17502.3 6851.88i −1.32784 0.519827i
\(559\) 5419.00 0.410017
\(560\) 403.175 1083.03i 0.0304237 0.0817256i
\(561\) 10904.3 0.820640
\(562\) −8023.30 3140.99i −0.602211 0.235756i
\(563\) 1561.15 1561.15i 0.116864 0.116864i −0.646256 0.763120i \(-0.723666\pi\)
0.763120 + 0.646256i \(0.223666\pi\)
\(564\) −22403.2 20715.9i −1.67260 1.54663i
\(565\) −9937.10 4612.74i −0.739924 0.343468i
\(566\) −21469.6 + 9388.98i −1.59441 + 0.697259i
\(567\) 521.544 + 521.544i 0.0386293 + 0.0386293i
\(568\) 3204.46 1553.33i 0.236719 0.114747i
\(569\) 21457.5i 1.58093i −0.612510 0.790463i \(-0.709840\pi\)
0.612510 0.790463i \(-0.290160\pi\)
\(570\) 10221.7 9774.88i 0.751120 0.718289i
\(571\) 5553.22i 0.406997i −0.979075 0.203498i \(-0.934769\pi\)
0.979075 0.203498i \(-0.0652312\pi\)
\(572\) −12371.3 + 484.106i −0.904318 + 0.0353872i
\(573\) 20396.3 + 20396.3i 1.48703 + 1.48703i
\(574\) 130.904 + 299.335i 0.00951884 + 0.0217666i
\(575\) 813.477 9685.77i 0.0589988 0.702477i
\(576\) 13995.4 + 11043.9i 1.01240 + 0.798894i
\(577\) 762.522 762.522i 0.0550160 0.0550160i −0.679064 0.734079i \(-0.737614\pi\)
0.734079 + 0.679064i \(0.237614\pi\)
\(578\) 2352.39 6008.91i 0.169285 0.432418i
\(579\) 7950.68 0.570672
\(580\) 1968.16 4714.39i 0.140902 0.337507i
\(581\) −1961.07 −0.140033
\(582\) −12807.9 + 32716.3i −0.912208 + 2.33013i
\(583\) −6492.40 + 6492.40i −0.461214 + 0.461214i
\(584\) 1894.87 5460.17i 0.134265 0.386889i
\(585\) −9383.11 + 20213.8i −0.663152 + 1.42861i
\(586\) 8608.32 + 19684.5i 0.606837 + 1.38764i
\(587\) −15138.4 15138.4i −1.06445 1.06445i −0.997775 0.0666722i \(-0.978762\pi\)
−0.0666722 0.997775i \(1.47876\pi\)
\(588\) 837.198 + 21394.5i 0.0587167 + 1.50050i
\(589\) 10855.8i 0.759432i
\(590\) 23338.3 + 521.451i 1.62852 + 0.0363861i
\(591\) 3035.33i 0.211264i
\(592\) −3471.96 2967.24i −0.241042 0.206001i
\(593\) 1637.51 + 1637.51i 0.113397 + 0.113397i 0.761529 0.648131i \(-0.224449\pi\)
−0.648131 + 0.761529i \(0.724449\pi\)
\(594\) 4307.95 1883.93i 0.297571 0.130132i
\(595\) 869.876 318.322i 0.0599352 0.0219327i
\(596\) 15427.2 16683.8i 1.06027 1.14663i
\(597\) −25319.8 + 25319.8i −1.73579 + 1.73579i
\(598\) −11723.7 4589.62i −0.801699 0.313852i
\(599\) 10193.4 0.695312 0.347656 0.937622i \(-0.386978\pi\)
0.347656 + 0.937622i \(0.386978\pi\)
\(600\) 20753.3 7991.61i 1.41208 0.543760i
\(601\) −10688.6 −0.725454 −0.362727 0.931895i \(-0.618154\pi\)
−0.362727 + 0.931895i \(0.618154\pi\)
\(602\) −402.677 157.642i −0.0272623 0.0106727i
\(603\) −20071.7 + 20071.7i −1.35553 + 1.35553i
\(604\) −15824.4 + 17113.3i −1.06604 + 1.15287i
\(605\) −6300.80 + 2305.71i −0.423411 + 0.154943i
\(606\) 16051.5 7019.56i 1.07599 0.470544i
\(607\) −12050.0 12050.0i −0.805759 0.805759i 0.178230 0.983989i \(-0.442963\pi\)
−0.983989 + 0.178230i \(0.942963\pi\)
\(608\) −2992.94 + 9852.35i −0.199638 + 0.657180i
\(609\) 725.306i 0.0482609i
\(610\) −5942.10 132.765i −0.394407 0.00881228i
\(611\) 27769.1i 1.83866i
\(612\) 558.756 + 14279.0i 0.0369058 + 0.943126i
\(613\) 3893.39 + 3893.39i 0.256529 + 0.256529i 0.823641 0.567112i \(-0.191939\pi\)
−0.567112 + 0.823641i \(0.691939\pi\)
\(614\) 2347.57 + 5368.15i 0.154300 + 0.352835i
\(615\) −2647.11 + 5702.61i −0.173564 + 0.373905i
\(616\) 933.374 + 323.914i 0.0610498 + 0.0211865i
\(617\) 4210.58 4210.58i 0.274735 0.274735i −0.556268 0.831003i \(-0.687767\pi\)
0.831003 + 0.556268i \(0.187767\pi\)
\(618\) 5989.98 15300.7i 0.389890 0.995930i
\(619\) −6990.42 −0.453907 −0.226954 0.973906i \(-0.572877\pi\)
−0.226954 + 0.973906i \(0.572877\pi\)
\(620\) 6576.15 15752.1i 0.425975 1.02035i
\(621\) 4781.34 0.308967
\(622\) 1424.16 3637.86i 0.0918068 0.234510i
\(623\) 181.225 181.225i 0.0116543 0.0116543i
\(624\) −2250.96 28717.6i −0.144408 1.84234i
\(625\) 2606.21 15406.1i 0.166797 0.985991i
\(626\) 3189.30 + 7292.91i 0.203626 + 0.465628i
\(627\) 8549.87 + 8549.87i 0.544576 + 0.544576i
\(628\) 17774.8 695.553i 1.12945 0.0441968i
\(629\) 3660.76i 0.232057i
\(630\) 1285.27 1229.09i 0.0812802 0.0777275i
\(631\) 16801.3i 1.05998i −0.848003 0.529991i \(-0.822195\pi\)
0.848003 0.529991i \(-0.177805\pi\)
\(632\) −549.539 1133.67i −0.0345878 0.0713531i
\(633\) −23633.7 23633.7i −1.48397 1.48397i
\(634\) 7618.67 3331.76i 0.477249 0.208708i
\(635\) −7151.13 3319.51i −0.446904 0.207450i
\(636\) −15684.6 14503.3i −0.977885 0.904235i
\(637\) 13778.3 13778.3i 0.857010 0.857010i
\(638\) 4067.01 + 1592.17i 0.252374 + 0.0988003i
\(639\) 5480.04 0.339260
\(640\) −10311.1 + 12483.0i −0.636848 + 0.770989i
\(641\) 7637.22 0.470596 0.235298 0.971923i \(-0.424393\pi\)
0.235298 + 0.971923i \(0.424393\pi\)
\(642\) −18019.1 7054.17i −1.10772 0.433654i
\(643\) −13378.3 + 13378.3i −0.820509 + 0.820509i −0.986181 0.165672i \(-0.947021\pi\)
0.165672 + 0.986181i \(0.447021\pi\)
\(644\) 737.651 + 682.094i 0.0451359 + 0.0417365i
\(645\) −2859.76 7814.83i −0.174578 0.477068i
\(646\) −7561.90 + 3306.93i −0.460556 + 0.201408i
\(647\) 9497.02 + 9497.02i 0.577073 + 0.577073i 0.934096 0.357023i \(-0.116208\pi\)
−0.357023 + 0.934096i \(0.616208\pi\)
\(648\) −4507.49 9298.76i −0.273258 0.563719i
\(649\) 19957.4i 1.20708i
\(650\) −18162.6 8929.36i −1.09599 0.538828i
\(651\) 2423.45i 0.145902i
\(652\) 16473.6 644.636i 0.989506 0.0387207i
\(653\) 12420.7 + 12420.7i 0.744346 + 0.744346i 0.973411 0.229065i \(-0.0735667\pi\)
−0.229065 + 0.973411i \(0.573567\pi\)
\(654\) 3554.21 + 8127.36i 0.212509 + 0.485940i
\(655\) 6714.61 + 18348.9i 0.400552 + 1.09458i
\(656\) −357.681 4563.26i −0.0212883 0.271594i
\(657\) 6289.03 6289.03i 0.373453 0.373453i
\(658\) 807.819 2063.48i 0.0478603 0.122254i
\(659\) 5899.85 0.348749 0.174374 0.984679i \(-0.444210\pi\)
0.174374 + 0.984679i \(0.444210\pi\)
\(660\) 7226.82 + 17585.4i 0.426217 + 1.03714i
\(661\) 25892.6 1.52361 0.761804 0.647808i \(-0.224314\pi\)
0.761804 + 0.647808i \(0.224314\pi\)
\(662\) 8902.36 22740.0i 0.522658 1.33507i
\(663\) 16326.3 16326.3i 0.956349 0.956349i
\(664\) 25956.6 + 9007.88i 1.51704 + 0.526466i
\(665\) 931.647 + 432.464i 0.0543274 + 0.0252184i
\(666\) −2816.05 6439.41i −0.163843 0.374658i
\(667\) 3140.53 + 3140.53i 0.182312 + 0.182312i
\(668\) 354.454 + 9058.05i 0.0205303 + 0.524650i
\(669\) 2877.10i 0.166270i
\(670\) −17816.7 18631.1i −1.02734 1.07430i
\(671\) 5081.29i 0.292342i
\(672\) −668.143 + 2199.44i −0.0383544 + 0.126258i
\(673\) −19481.3 19481.3i −1.11582 1.11582i −0.992348 0.123475i \(-0.960596\pi\)
−0.123475 0.992348i \(-0.539404\pi\)
\(674\) 11416.4 4992.55i 0.652437 0.285320i
\(675\) 7659.20 + 643.272i 0.436745 + 0.0366808i
\(676\) −5865.28 + 6343.00i −0.333709 + 0.360890i
\(677\) −17811.4 + 17811.4i −1.01115 + 1.01115i −0.0112114 + 0.999937i \(0.503569\pi\)
−0.999937 + 0.0112114i \(0.996431\pi\)
\(678\) 20292.0 + 7944.00i 1.14943 + 0.449982i
\(679\) −2551.55 −0.144211
\(680\) −12975.8 + 217.651i −0.731762 + 0.0122743i
\(681\) −23657.4 −1.33121
\(682\) 13589.0 + 5319.88i 0.762976 + 0.298693i
\(683\) 13579.6 13579.6i 0.760775 0.760775i −0.215687 0.976463i \(-0.569199\pi\)
0.976463 + 0.215687i \(0.0691991\pi\)
\(684\) −10757.8 + 11634.0i −0.601367 + 0.650348i
\(685\) −827.428 + 1782.51i −0.0461524 + 0.0994249i
\(686\) −2860.24 + 1250.82i −0.159190 + 0.0696161i
\(687\) −25880.3 25880.3i −1.43726 1.43726i
\(688\) 4605.70 + 3936.17i 0.255219 + 0.218118i
\(689\) 19441.3i 1.07497i
\(690\) −431.869 + 19328.9i −0.0238275 + 1.06644i
\(691\) 12840.8i 0.706928i 0.935448 + 0.353464i \(0.114996\pi\)
−0.935448 + 0.353464i \(0.885004\pi\)
\(692\) −522.274 13346.7i −0.0286906 0.733186i
\(693\) 1075.06 + 1075.06i 0.0589296 + 0.0589296i
\(694\) −1036.92 2371.10i −0.0567159 0.129691i
\(695\) −103.301 + 37.8019i −0.00563803 + 0.00206318i
\(696\) −3331.58 + 9600.10i −0.181441 + 0.522832i
\(697\) 2594.27 2594.27i 0.140983 0.140983i
\(698\) −9910.56 + 25315.4i −0.537422 + 1.37278i
\(699\) −37722.9 −2.04122
\(700\) 1089.87 + 1191.88i 0.0588475 + 0.0643557i
\(701\) −23786.6 −1.28161 −0.640805 0.767704i \(-0.721399\pi\)
−0.640805 + 0.767704i \(0.721399\pi\)
\(702\) 3629.33 9270.70i 0.195128 0.498433i
\(703\) 2870.34 2870.34i 0.153993 0.153993i
\(704\) −10866.2 8574.62i −0.581727 0.459045i
\(705\) 40046.3 14654.5i 2.13934 0.782868i
\(706\) 8150.01 + 18636.5i 0.434461 + 0.993476i
\(707\) 899.658 + 899.658i 0.0478573 + 0.0478573i
\(708\) −46398.3 + 1815.63i −2.46293 + 0.0963779i
\(709\) 21270.0i 1.12667i 0.826227 + 0.563337i \(0.190483\pi\)
−0.826227 + 0.563337i \(0.809517\pi\)
\(710\) −111.169 + 4975.54i −0.00587620 + 0.262998i
\(711\) 1938.73i 0.102262i
\(712\) −3231.11 + 1566.25i −0.170072 + 0.0824408i
\(713\) 10493.4 + 10493.4i 0.551164 + 0.551164i
\(714\) −1688.12 + 738.238i −0.0884821 + 0.0386945i
\(715\) 7285.15 15694.2i 0.381048 0.820882i
\(716\) −21876.1 20228.5i −1.14183 1.05583i
\(717\) −7974.40 + 7974.40i −0.415355 + 0.415355i
\(718\) 14744.1 + 5772.09i 0.766359 + 0.300017i
\(719\) 22553.8 1.16984 0.584921 0.811090i \(-0.301126\pi\)
0.584921 + 0.811090i \(0.301126\pi\)
\(720\) −22657.4 + 10364.5i −1.17277 + 0.536475i
\(721\) 1193.30 0.0616380
\(722\) 9543.10 + 3735.97i 0.491908 + 0.192574i
\(723\) 35796.8 35796.8i 1.84135 1.84135i
\(724\) 3206.21 + 2964.73i 0.164583 + 0.152187i
\(725\) 4608.27 + 5453.31i 0.236065 + 0.279353i
\(726\) 12227.6 5347.30i 0.625081 0.273357i
\(727\) 19795.0 + 19795.0i 1.00984 + 1.00984i 0.999951 + 0.00989382i \(0.00314935\pi\)
0.00989382 + 0.999951i \(0.496851\pi\)
\(728\) 1882.46 912.504i 0.0958358 0.0464556i
\(729\) 28955.6i 1.47110i
\(730\) 5582.48 + 5837.64i 0.283037 + 0.295974i
\(731\) 4856.16i 0.245706i
\(732\) 11813.3 462.272i 0.596493 0.0233416i
\(733\) 10191.1 + 10191.1i 0.513528 + 0.513528i 0.915606 0.402078i \(-0.131712\pi\)
−0.402078 + 0.915606i \(0.631712\pi\)
\(734\) −5892.76 13474.9i −0.296329 0.677612i
\(735\) −27141.1 12598.7i −1.36206 0.632259i
\(736\) −6630.40 12416.4i −0.332065 0.621842i
\(737\) 15583.9 15583.9i 0.778888 0.778888i
\(738\) 2567.77 6559.06i 0.128077 0.327158i
\(739\) −28579.3 −1.42261 −0.711304 0.702885i \(-0.751895\pi\)
−0.711304 + 0.702885i \(0.751895\pi\)
\(740\) 5903.72 2426.17i 0.293277 0.120524i
\(741\) 25602.3 1.26926
\(742\) 565.558 1444.65i 0.0279815 0.0714755i
\(743\) −20848.1 + 20848.1i −1.02940 + 1.02940i −0.0298445 + 0.999555i \(0.509501\pi\)
−0.999555 + 0.0298445i \(0.990499\pi\)
\(744\) −11131.7 + 32076.6i −0.548533 + 1.58062i
\(745\) 10913.3 + 29822.6i 0.536687 + 1.46660i
\(746\) −10900.2 24925.2i −0.534964 1.22329i
\(747\) 29896.9 + 29896.9i 1.46435 + 1.46435i
\(748\) −433.824 11086.3i −0.0212061 0.541921i
\(749\) 1405.31i 0.0685566i
\(750\) −3292.28 + 30904.8i −0.160290 + 1.50464i
\(751\) 13588.4i 0.660252i −0.943937 0.330126i \(-0.892909\pi\)
0.943937 0.330126i \(-0.107091\pi\)
\(752\) −20170.5 + 23601.5i −0.978115 + 1.14449i
\(753\) −10438.8 10438.8i −0.505193 0.505193i
\(754\) 8473.13 3705.42i 0.409248 0.178970i
\(755\) −11194.3 30590.5i −0.539605 1.47457i
\(756\) −539.379 + 583.311i −0.0259484 + 0.0280619i
\(757\) −1630.23 + 1630.23i −0.0782719 + 0.0782719i −0.745159 0.666887i \(-0.767626\pi\)
0.666887 + 0.745159i \(0.267626\pi\)
\(758\) −26318.1 10303.1i −1.26110 0.493702i
\(759\) −16528.9 −0.790461
\(760\) −10344.8 10003.4i −0.493742 0.477451i
\(761\) −33489.9 −1.59528 −0.797640 0.603134i \(-0.793919\pi\)
−0.797640 + 0.603134i \(0.793919\pi\)
\(762\) 14602.9 + 5716.82i 0.694237 + 0.271783i
\(763\) −455.524 + 455.524i −0.0216135 + 0.0216135i
\(764\) 19925.4 21548.4i 0.943556 1.02041i
\(765\) −18114.3 8408.53i −0.856109 0.397400i
\(766\) −7002.98 + 3062.51i −0.330324 + 0.144455i
\(767\) 29881.0 + 29881.0i 1.40670 + 1.40670i
\(768\) 18946.3 26042.6i 0.890188 1.22361i
\(769\) 26755.6i 1.25466i −0.778755 0.627328i \(-0.784149\pi\)
0.778755 0.627328i \(-0.215851\pi\)
\(770\) −997.900 + 954.282i −0.0467037 + 0.0446623i
\(771\) 21575.4i 1.00780i