Properties

Label 20.4.e.b.3.5
Level 20
Weight 4
Character 20.3
Analytic conductor 1.180
Analytic rank 0
Dimension 12
CM No
Inner twists 4

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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 3.5
Root \(1.83244 - 0.801352i\)
Character \(\chi\) = 20.3
Dual form 20.4.e.b.7.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.03109 + 2.63379i) q^{2} +(5.55970 - 5.55970i) q^{3} +(-5.87372 + 5.43134i) q^{4} +(-10.4994 + 3.84216i) q^{5} +(20.3756 + 8.91056i) q^{6} +(-1.14202 - 1.14202i) q^{7} +(-20.3613 - 9.86997i) q^{8} -34.8205i q^{9} +O(q^{10})\) \(q+(1.03109 + 2.63379i) 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} +(-20.3613 - 9.86997i) q^{8} -34.8205i q^{9} +(-20.9453 - 23.6917i) q^{10} -27.0350i q^{11} +(-2.45951 + 62.8527i) 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} +(91.7099 - 35.9029i) q^{18} +56.8829 q^{19} +(40.8026 - 79.5936i) q^{20} -12.6985 q^{21} +(71.2046 - 27.8754i) 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} +(12.9106 + 0.505208i) q^{28} +57.1173i q^{29} +(-248.168 - 15.2693i) q^{30} -190.845i q^{31} +(173.204 - 52.6158i) 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} +(58.6513 + 149.818i) q^{38} +450.088 q^{39} +(251.704 + 25.3976i) q^{40} -71.5197 q^{41} +(-13.0933 - 33.4453i) 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} +(-326.928 - 382.538i) q^{48} -340.392i q^{49} +(310.940 + 168.274i) q^{50} +403.339i q^{51} +(-457.603 - 17.9066i) 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} +(-150.435 + 58.8929i) q^{58} -738.207 q^{59} +(-215.666 - 669.367i) q^{60} -187.952 q^{61} +(502.645 - 196.777i) 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} +(16.0468 - 410.074i) q^{68} +611.387i q^{69} +(-3.13647 + 50.9761i) q^{70} -157.380i q^{71} +(-343.677 + 708.991i) 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} +(464.080 + 1185.44i) q^{78} -55.6778 q^{79} +(192.637 + 689.123i) q^{80} +456.687 q^{81} +(-73.7430 - 188.368i) 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} +(-266.835 + 550.468i) q^{88} -158.689i q^{89} +(-824.956 + 729.324i) q^{90} -92.4525i q^{91} +(24.3239 - 621.596i) 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} +(896.521 - 350.973i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.03109 + 2.63379i 0.364544 + 0.931186i
\(3\) 5.55970 5.55970i 1.06996 1.06996i 0.0726035 0.997361i \(-0.476869\pi\)
0.997361 0.0726035i \(-0.0231308\pi\)
\(4\) −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 0.675603 0.737266i \(-0.263883\pi\)
−0.737266 + 0.675603i \(0.763883\pi\)
\(8\) −20.3613 9.86997i −0.899852 0.436195i
\(9\) 34.8205i 1.28965i
\(10\) −20.9453 23.6917i −0.662347 0.749197i
\(11\) 27.0350i 0.741033i −0.928826 0.370516i \(-0.879181\pi\)
0.928826 0.370516i \(-0.120819\pi\)
\(12\) −2.45951 + 62.8527i −0.0591667 + 1.51200i
\(13\) 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 \(0.369250\pi\)
\(18\) 91.7099 35.9029i 1.20090 0.470134i
\(19\) 56.8829 0.686834 0.343417 0.939183i \(-0.388416\pi\)
0.343417 + 0.939183i \(0.388416\pi\)
\(20\) 40.8026 79.5936i 0.456187 0.889884i
\(21\) −12.6985 −0.131955
\(22\) 71.2046 27.8754i 0.690039 0.270139i
\(23\) −54.9839 + 54.9839i −0.498475 + 0.498475i −0.910963 0.412488i \(-0.864660\pi\)
0.412488 + 0.910963i \(0.364660\pi\)
\(24\) −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
\(28\) 12.9106 + 0.505208i 0.0871381 + 0.00340983i
\(29\) 57.1173i 0.365739i 0.983137 + 0.182869i \(0.0585385\pi\)
−0.983137 + 0.182869i \(0.941461\pi\)
\(30\) −248.168 15.2693i −1.51030 0.0929263i
\(31\) 190.845i 1.10570i −0.833281 0.552850i \(-0.813540\pi\)
0.833281 0.552850i \(-0.186460\pi\)
\(32\) 173.204 52.6158i 0.956825 0.290664i
\(33\) −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 \(0.300678\pi\)
\(38\) 58.6513 + 149.818i 0.250381 + 0.639570i
\(39\) 450.088 1.84799
\(40\) 251.704 + 25.3976i 0.994948 + 0.100393i
\(41\) −71.5197 −0.272427 −0.136213 0.990680i \(-0.543493\pi\)
−0.136213 + 0.990680i \(0.543493\pi\)
\(42\) −13.0933 33.4453i −0.0481033 0.122874i
\(43\) −66.9381 + 66.9381i −0.237394 + 0.237394i −0.815770 0.578376i \(-0.803687\pi\)
0.578376 + 0.815770i \(0.303687\pi\)
\(44\) 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 \(-0.978724\pi\)
−0.0667913 0.997767i \(1.47872\pi\)
\(48\) −326.928 382.538i −0.983082 1.15030i
\(49\) 340.392i 0.992395i
\(50\) 310.940 + 168.274i 0.879472 + 0.475951i
\(51\) 403.339i 1.10743i
\(52\) −457.603 17.9066i −1.22035 0.0477539i
\(53\) 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
\(58\) −150.435 + 58.8929i −0.340571 + 0.133328i
\(59\) −738.207 −1.62892 −0.814461 0.580218i \(-0.802967\pi\)
−0.814461 + 0.580218i \(0.802967\pi\)
\(60\) −215.666 669.367i −0.464040 1.44025i
\(61\) −187.952 −0.394506 −0.197253 0.980353i \(-0.563202\pi\)
−0.197253 + 0.980353i \(0.563202\pi\)
\(62\) 502.645 196.777i 1.02961 0.403077i
\(63\) −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 \(0.0167066\pi\)
0.0524612 + 0.998623i \(0.483293\pi\)
\(68\) 16.0468 410.074i 0.0286170 0.731305i
\(69\) 611.387i 1.06670i
\(70\) −3.13647 + 50.9761i −0.00535543 + 0.0870402i
\(71\) 157.380i 0.263064i −0.991312 0.131532i \(-0.958010\pi\)
0.991312 0.131532i \(-0.0419896\pi\)
\(72\) −343.677 + 708.991i −0.562538 + 1.16049i
\(73\) 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
\(78\) 464.080 + 1185.44i 0.673676 + 1.72083i
\(79\) −55.6778 −0.0792942 −0.0396471 0.999214i \(-0.512623\pi\)
−0.0396471 + 0.999214i \(0.512623\pi\)
\(80\) 192.637 + 689.123i 0.269218 + 0.963079i
\(81\) 456.687 0.626457
\(82\) −73.7430 188.368i −0.0993116 0.253680i
\(83\) 858.601 858.601i 1.13547 1.13547i 0.146213 0.989253i \(-0.453292\pi\)
0.989253 0.146213i \(-0.0467085\pi\)
\(84\) 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
\(88\) −266.835 + 550.468i −0.323235 + 0.666820i
\(89\) 158.689i 0.189000i −0.995525 0.0944998i \(-0.969875\pi\)
0.995525 0.0944998i \(-0.0301252\pi\)
\(90\) −824.956 + 729.324i −0.966200 + 0.854194i
\(91\) 92.4525i 0.106502i
\(92\) 24.3239 621.596i 0.0275646 0.704411i
\(93\) −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 \(0.940128\pi\)
\(98\) 896.521 350.973i 0.924105 0.361772i
\(99\) −941.372 −0.955671
\(100\) −122.592 + 992.457i −0.122592 + 0.992457i
\(101\) 787.780 0.776109 0.388055 0.921636i \(-0.373147\pi\)
0.388055 + 0.921636i \(0.373147\pi\)
\(102\) −1062.31 + 415.878i −1.03122 + 0.403706i
\(103\) −522.455 + 522.455i −0.499796 + 0.499796i −0.911374 0.411578i \(-0.864978\pi\)
0.411578 + 0.911374i \(0.364978\pi\)
\(104\) −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 0.928137 0.372240i \(-0.121410\pi\)
−0.372240 + 0.928137i \(0.621410\pi\)
\(108\) 491.538 + 19.2346i 0.437947 + 0.0171375i
\(109\) 398.877i 0.350509i 0.984523 + 0.175254i \(0.0560748\pi\)
−0.984523 + 0.175254i \(0.943925\pi\)
\(110\) −640.505 + 566.255i −0.555179 + 0.490821i
\(111\) 561.091i 0.479787i
\(112\) −78.5770 + 67.1542i −0.0662931 + 0.0566560i
\(113\) 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
\(118\) −761.156 1944.28i −0.593814 1.51683i
\(119\) 82.8499 0.0638221
\(120\) 1540.60 1258.20i 1.17198 0.957142i
\(121\) 600.109 0.450871
\(122\) −193.795 495.028i −0.143815 0.367358i
\(123\) −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 0.511116 0.859512i \(-0.329232\pi\)
−0.859512 + 0.511116i \(0.829232\pi\)
\(128\) −731.577 + 1249.78i −0.505179 + 0.863015i
\(129\) 744.311i 0.508007i
\(130\) 111.169 1806.80i 0.0750016 1.21898i
\(131\) 1747.61i 1.16557i 0.812626 + 0.582785i \(0.198037\pi\)
−0.812626 + 0.582785i \(0.801963\pi\)
\(132\) 1699.22 + 66.4929i 1.12044 + 0.0438444i
\(133\) −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 \(0.232546\pi\)
\(138\) −1610.27 + 630.394i −0.993297 + 0.388860i
\(139\) −9.83873 −0.00600367 −0.00300184 0.999995i \(-0.500956\pi\)
−0.00300184 + 0.999995i \(0.500956\pi\)
\(140\) −137.495 + 44.3000i −0.0830029 + 0.0267431i
\(141\) −3814.15 −2.27808
\(142\) 414.506 162.272i 0.244962 0.0958985i
\(143\) 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
\(148\) 22.3229 570.459i 0.0123982 0.316834i
\(149\) 2840.41i 1.56171i −0.624711 0.780856i \(-0.714783\pi\)
0.624711 0.780856i \(-0.285217\pi\)
\(150\) 2664.29 793.181i 1.45025 0.431753i
\(151\) 2913.54i 1.57020i −0.619368 0.785101i \(-0.712611\pi\)
0.619368 0.785101i \(-0.287389\pi\)
\(152\) −1158.21 561.433i −0.618049 0.299594i
\(153\) 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 \(0.0588161\pi\)
\(158\) −57.4087 146.644i −0.0289063 0.0738377i
\(159\) 2670.30 1.33188
\(160\) −1616.38 + 1217.91i −0.798664 + 0.601777i
\(161\) 125.585 0.0614751
\(162\) 470.884 + 1202.82i 0.228371 + 0.583348i
\(163\) −1457.19 + 1457.19i −0.700222 + 0.700222i −0.964458 0.264236i \(-0.914880\pi\)
0.264236 + 0.964458i \(0.414880\pi\)
\(164\) 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 0.496671 0.867939i \(-0.334556\pi\)
−0.867939 + 0.496671i \(0.834556\pi\)
\(168\) 258.559 + 125.334i 0.118740 + 0.0575580i
\(169\) 1079.90i 0.491532i
\(170\) 1619.14 + 99.6228i 0.730484 + 0.0449454i
\(171\) 1980.69i 0.885773i
\(172\) 29.6122 756.739i 0.0131274 0.335470i
\(173\) −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
\(178\) 417.953 163.622i 0.175994 0.0688987i
\(179\) 3724.41 1.55517 0.777585 0.628778i \(-0.216445\pi\)
0.777585 + 0.628778i \(0.216445\pi\)
\(180\) −2771.49 1420.77i −1.14764 0.588320i
\(181\) 545.856 0.224161 0.112081 0.993699i \(-0.464249\pi\)
0.112081 + 0.993699i \(0.464249\pi\)
\(182\) 243.501 95.3266i 0.0991729 0.0388246i
\(183\) −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
\(188\) 3877.83 + 151.745i 1.50436 + 0.0588677i
\(189\) 99.3087i 0.0382203i
\(190\) −1191.43 1347.65i −0.454922 0.514574i
\(191\) 3668.60i 1.38980i 0.719109 + 0.694898i \(0.244550\pi\)
−0.719109 + 0.694898i \(0.755450\pi\)
\(192\) 3997.97 + 471.264i 1.50275 + 0.177138i
\(193\) −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 \(0.227761\pi\)
\(198\) −970.636 2479.38i −0.348384 0.889907i
\(199\) −4554.16 −1.62229 −0.811146 0.584844i \(-0.801156\pi\)
−0.811146 + 0.584844i \(0.801156\pi\)
\(200\) −2740.33 + 700.427i −0.968853 + 0.247638i
\(201\) 6409.60 2.24925
\(202\) 812.269 + 2074.85i 0.282926 + 0.722702i
\(203\) 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
\(208\) 2785.09 2380.22i 0.928419 0.793454i
\(209\) 1537.83i 0.508966i
\(210\) 265.974 + 300.850i 0.0873998 + 0.0988600i
\(211\) 4250.89i 1.38694i −0.720487 0.693468i \(-0.756082\pi\)
0.720487 0.693468i \(-0.243918\pi\)
\(212\) −2714.89 106.237i −0.879525 0.0344170i
\(213\) −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
\(218\) −1050.56 + 411.276i −0.326389 + 0.127776i
\(219\) 2008.31 0.619675
\(220\) −2151.81 1103.10i −0.659433 0.338049i
\(221\) −2936.54 −0.893814
\(222\) −1477.80 + 578.533i −0.446771 + 0.174904i
\(223\) 258.746 258.746i 0.0776991 0.0776991i −0.667189 0.744888i \(-0.732503\pi\)
0.744888 + 0.667189i \(0.232503\pi\)
\(224\) −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 0.323983 0.946063i \(-0.394978\pi\)
−0.946063 + 0.323983i \(0.894978\pi\)
\(228\) −139.904 + 3575.25i −0.0406377 + 1.03849i
\(229\) 4654.98i 1.34328i 0.740880 + 0.671638i \(0.234409\pi\)
−0.740880 + 0.671638i \(0.765591\pi\)
\(230\) 2454.31 + 151.010i 0.703620 + 0.0432925i
\(231\) 343.305i 0.0977827i
\(232\) 563.746 1162.98i 0.159533 0.329111i
\(233\) 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
\(238\) 85.4254 + 218.209i 0.0232660 + 0.0594303i
\(239\) −1434.32 −0.388195 −0.194098 0.980982i \(-0.562178\pi\)
−0.194098 + 0.980982i \(0.562178\pi\)
\(240\) 4902.32 + 2760.32i 1.31851 + 0.742407i
\(241\) −6438.62 −1.72094 −0.860472 0.509497i \(-0.829831\pi\)
−0.860472 + 0.509497i \(0.829831\pi\)
\(242\) 618.764 + 1580.56i 0.164362 + 0.419845i
\(243\) 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
\(248\) −1883.63 + 3885.85i −0.482301 + 0.994966i
\(249\) 9547.12i 2.42982i
\(250\) −3911.23 572.099i −0.989471 0.144731i
\(251\) 1877.58i 0.472159i −0.971734 0.236079i \(-0.924137\pi\)
0.971734 0.236079i \(-0.0758626\pi\)
\(252\) 17.5916 449.552i 0.00439748 0.112377i
\(253\) 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 \(0.141934\pi\)
\(258\) −1960.36 + 767.449i −0.473049 + 0.185191i
\(259\) 115.254 0.0276506
\(260\) 4873.37 1570.17i 1.16244 0.374531i
\(261\) 1988.85 0.471674
\(262\) −4602.85 + 1801.94i −1.08536 + 0.424902i
\(263\) 1004.94 1004.94i 0.235616 0.235616i −0.579416 0.815032i \(-0.696719\pi\)
0.815032 + 0.579416i \(0.196719\pi\)
\(264\) 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
\(268\) −6516.62 255.004i −1.48532 0.0581227i
\(269\) 6594.94i 1.49480i 0.664376 + 0.747398i \(0.268697\pi\)
−0.664376 + 0.747398i \(0.731303\pi\)
\(270\) −119.414 + 1940.79i −0.0269159 + 0.437455i
\(271\) 4781.49i 1.07179i 0.844285 + 0.535895i \(0.180026\pi\)
−0.844285 + 0.535895i \(0.819974\pi\)
\(272\) 2133.00 + 2495.81i 0.475485 + 0.556364i
\(273\) −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 \(-0.0686760\pi\)
\(278\) −10.1446 25.9132i −0.00218860 0.00559053i
\(279\) −6645.30 −1.42596
\(280\) −258.446 316.455i −0.0551610 0.0675421i
\(281\) 3046.29 0.646714 0.323357 0.946277i \(-0.395189\pi\)
0.323357 + 0.946277i \(0.395189\pi\)
\(282\) −3932.72 10045.7i −0.830461 2.12132i
\(283\) −5858.21 + 5858.21i −1.23051 + 1.23051i −0.266743 + 0.963768i \(0.585947\pi\)
−0.963768 + 0.266743i \(0.914053\pi\)
\(284\) 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
\(288\) −1832.11 6031.04i −0.374854 1.23397i
\(289\) 2281.47i 0.464374i
\(290\) 1353.21 1196.34i 0.274010 0.242246i
\(291\) 12421.8i 2.50232i
\(292\) −2041.84 79.9000i −0.409211 0.0160130i
\(293\) −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
\(298\) 7481.04 2928.71i 1.45425 0.569314i
\(299\) −4451.25 −0.860944
\(300\) 4836.18 + 6199.34i 0.930724 + 1.19306i
\(301\) 152.889 0.0292770
\(302\) 7673.66 3004.11i 1.46215 0.572408i
\(303\) 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 0.830028 0.557722i \(-0.188324\pi\)
−0.557722 + 0.830028i \(0.688324\pi\)
\(308\) 13.6583 349.037i 0.00252680 0.0645722i
\(309\) 5809.38i 1.06953i
\(310\) −4521.43 + 3997.29i −0.828387 + 0.732357i
\(311\) 1381.23i 0.251840i −0.992040 0.125920i \(-0.959812\pi\)
0.992040 0.125920i \(-0.0401882\pi\)
\(312\) −9164.39 4442.36i −1.66292 0.806086i
\(313\) −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 \(0.333869\pi\)
\(318\) 2753.31 + 7033.02i 0.485529 + 1.24023i
\(319\) 1544.17 0.271024
\(320\) −4874.36 3001.44i −0.851515 0.524330i
\(321\) 6841.49 1.18958
\(322\) 129.489 + 330.765i 0.0224104 + 0.0572447i
\(323\) −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
\(328\) 1456.24 + 705.898i 0.245144 + 0.118831i
\(329\) 783.463i 0.131288i
\(330\) −412.807 + 6709.22i −0.0688614 + 1.11918i
\(331\) 8633.95i 1.43373i −0.697211 0.716866i \(-0.745576\pi\)
0.697211 0.716866i \(-0.254424\pi\)
\(332\) −379.830 + 9706.53i −0.0627888 + 1.60456i
\(333\) 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 \(0.365876\pi\)
\(338\) −2844.22 + 1113.47i −0.457708 + 0.179185i
\(339\) 7704.49 1.23437
\(340\) 1407.09 + 4367.19i 0.224441 + 0.696601i
\(341\) −5159.48 −0.819360
\(342\) 5216.73 2042.26i 0.824820 0.322904i
\(343\) −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 0.655288 0.755379i \(-0.272547\pi\)
−0.755379 + 0.655288i \(0.772547\pi\)
\(348\) −3589.98 140.481i −0.552997 0.0216395i
\(349\) 9611.76i 1.47423i −0.675768 0.737114i \(-0.736188\pi\)
0.675768 0.737114i \(-0.263812\pi\)
\(350\) −162.927 547.271i −0.0248824 0.0835796i
\(351\) 3519.90i 0.535267i
\(352\) −1422.47 4682.57i −0.215391 0.709039i
\(353\) −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
\(358\) 3840.19 + 9809.32i 0.566928 + 1.44815i
\(359\) 5598.06 0.822992 0.411496 0.911411i \(-0.365006\pi\)
0.411496 + 0.911411i \(0.365006\pi\)
\(360\) 884.357 8764.46i 0.129471 1.28313i
\(361\) −3623.33 −0.528259
\(362\) 562.825 + 1437.67i 0.0817167 + 0.208736i
\(363\) 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 0.395506 0.918463i \(-0.370569\pi\)
−0.918463 + 0.395506i \(0.870569\pi\)
\(368\) 3233.22 + 3783.19i 0.457999 + 0.535903i
\(369\) 2490.35i 0.351335i
\(370\) 2252.40 + 138.587i 0.316478 + 0.0194724i
\(371\) 548.506i 0.0767575i
\(372\) 11995.1 + 469.385i 1.67182 + 0.0654206i
\(373\) 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
\(378\) −261.558 + 102.396i −0.0355902 + 0.0139330i
\(379\) −9992.48 −1.35430 −0.677150 0.735845i \(-0.736785\pi\)
−0.677150 + 0.735845i \(0.736785\pi\)
\(380\) 2320.97 4527.52i 0.313325 0.611202i
\(381\) −5544.46 −0.745541
\(382\) −9662.34 + 3782.65i −1.29416 + 0.506642i
\(383\) −1910.84 + 1910.84i −0.254932 + 0.254932i −0.822989 0.568057i \(-0.807695\pi\)
0.568057 + 0.822989i \(0.307695\pi\)
\(384\) 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
\(388\) 494.196 12629.2i 0.0646624 1.65244i
\(389\) 152.974i 0.0199385i −0.999950 0.00996927i \(-0.996827\pi\)
0.999950 0.00996927i \(-0.00317337\pi\)
\(390\) −9427.21 10663.3i −1.22401 1.38451i
\(391\) 3988.91i 0.515929i
\(392\) −3359.66 + 6930.82i −0.432878 + 0.893009i
\(393\) 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 \(0.138970\pi\)
\(398\) −4695.74 11994.7i −0.591397 1.51065i
\(399\) −722.330 −0.0906309
\(400\) −4670.30 6495.26i −0.583787 0.811907i
\(401\) 10939.9 1.36238 0.681190 0.732106i \(-0.261463\pi\)
0.681190 + 0.732106i \(0.261463\pi\)
\(402\) 6608.85 + 16881.6i 0.819949 + 2.09447i
\(403\) 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
\(408\) 3980.95 8212.52i 0.483055 0.996521i
\(409\) 2982.65i 0.360593i −0.983612 0.180296i \(-0.942294\pi\)
0.983612 0.180296i \(-0.0577057\pi\)
\(410\) 1498.00 + 1694.42i 0.180441 + 0.204101i
\(411\) 1382.02i 0.165864i
\(412\) 231.125 5906.38i 0.0276376 0.706278i
\(413\) 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
\(418\) 4050.32 1585.64i 0.473942 0.185541i
\(419\) 2828.22 0.329755 0.164878 0.986314i \(-0.447277\pi\)
0.164878 + 0.986314i \(0.447277\pi\)
\(420\) −518.133 + 1010.72i −0.0601960 + 0.117424i
\(421\) 739.946 0.0856597 0.0428299 0.999082i \(-0.486363\pi\)
0.0428299 + 0.999082i \(0.486363\pi\)
\(422\) 11196.0 4383.04i 1.29150 0.505600i
\(423\) −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
\(428\) −6955.73 272.187i −0.785555 0.0307399i
\(429\) 12168.1i 1.36942i
\(430\) 2987.91 + 183.841i 0.335093 + 0.0206177i
\(431\) 7074.45i 0.790636i 0.918544 + 0.395318i \(0.129366\pi\)
−0.918544 + 0.395318i \(0.870634\pi\)
\(432\) −2991.63 + 2556.73i −0.333182 + 0.284747i
\(433\) 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
\(438\) 2070.74 + 5289.46i 0.225899 + 0.577033i
\(439\) 12903.4 1.40284 0.701419 0.712750i \(-0.252550\pi\)
0.701419 + 0.712750i \(0.252550\pi\)
\(440\) 686.624 6804.82i 0.0743944 0.737289i
\(441\) −11852.6 −1.27984
\(442\) −3027.83 7734.23i −0.325835 0.832307i
\(443\) −2108.72 + 2108.72i −0.226159 + 0.226159i −0.811086 0.584927i \(-0.801123\pi\)
0.584927 + 0.811086i \(0.301123\pi\)
\(444\) −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
\(448\) 96.8022 821.223i 0.0102087 0.0866052i
\(449\) 136.127i 0.0143079i −0.999974 0.00715394i \(-0.997723\pi\)
0.999974 0.00715394i \(-0.00227719\pi\)
\(450\) 5859.38 10827.1i 0.613809 1.13421i
\(451\) 1933.53i 0.201877i
\(452\) −7833.13 306.521i −0.815132 0.0318972i
\(453\) −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 \(0.410117\pi\)
\(458\) −12260.3 + 4799.69i −1.25084 + 0.489683i
\(459\) 3154.31 0.320764
\(460\) 2132.88 + 6619.85i 0.216187 + 0.670983i
\(461\) 9556.54 0.965493 0.482747 0.875760i \(-0.339639\pi\)
0.482747 + 0.875760i \(0.339639\pi\)
\(462\) −904.194 + 353.977i −0.0910539 + 0.0356461i
\(463\) 914.613 914.613i 0.0918049 0.0918049i −0.659713 0.751518i \(-0.729322\pi\)
0.751518 + 0.659713i \(0.229322\pi\)
\(464\) 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 0.733441 0.679753i \(-0.237913\pi\)
−0.679753 + 0.733441i \(0.737913\pi\)
\(468\) −623.518 + 15934.0i −0.0615857 + 1.57382i
\(469\) 1316.59i 0.129626i
\(470\) −942.075 + 15311.3i −0.0924568 + 1.50267i
\(471\) 17482.9i 1.71034i
\(472\) 15030.9 + 7286.09i 1.46579 + 0.710528i
\(473\) 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
\(478\) −1478.91 3777.71i −0.141514 0.361482i
\(479\) 19357.9 1.84652 0.923260 0.384176i \(-0.125514\pi\)
0.923260 + 0.384176i \(0.125514\pi\)
\(480\) −2215.38 + 15757.8i −0.210662 + 1.49842i
\(481\) −4085.06 −0.387240
\(482\) −6638.77 16958.0i −0.627361 1.60252i
\(483\) 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 0.713644 0.700509i \(-0.247044\pi\)
−0.700509 + 0.713644i \(0.747044\pi\)
\(488\) 3826.96 + 1855.09i 0.354997 + 0.172082i
\(489\) 16203.1i 1.49842i
\(490\) −8064.45 + 7129.59i −0.743500 + 0.657310i
\(491\) 929.849i 0.0854654i 0.999087 + 0.0427327i \(0.0136064\pi\)
−0.999087 + 0.0427327i \(0.986394\pi\)
\(492\) 175.904 4495.21i 0.0161186 0.411910i
\(493\) −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
\(498\) 25145.1 9843.91i 2.26261 0.885776i
\(499\) −13526.6 −1.21349 −0.606747 0.794895i \(-0.707526\pi\)
−0.606747 + 0.794895i \(0.707526\pi\)
\(500\) −2526.03 10891.2i −0.225935 0.974142i
\(501\) −8909.29 −0.794487
\(502\) 4945.16 1935.95i 0.439668 0.172123i
\(503\) 4770.81 4770.81i 0.422902 0.422902i −0.463300 0.886202i \(-0.653335\pi\)
0.886202 + 0.463300i \(0.153335\pi\)
\(504\) 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
\(508\) 5637.03 + 220.585i 0.492328 + 0.0192655i
\(509\) 8188.23i 0.713039i 0.934288 + 0.356520i \(0.116037\pi\)
−0.934288 + 0.356520i \(0.883963\pi\)
\(510\) 9555.79 8448.05i 0.829681 0.733501i
\(511\) 412.526i 0.0357125i
\(512\) −2490.89 11314.3i −0.215006 0.976613i
\(513\) −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
\(518\) 118.836 + 303.554i 0.0100799 + 0.0257479i
\(519\) −13127.5 −1.11028
\(520\) 9160.38 + 11216.5i 0.772518 + 0.945912i
\(521\) −5465.70 −0.459610 −0.229805 0.973237i \(-0.573809\pi\)
−0.229805 + 0.973237i \(0.573809\pi\)
\(522\) 2050.68 + 5238.22i 0.171946 + 0.439216i
\(523\) −9877.72 + 9877.72i −0.825856 + 0.825856i −0.986941 0.161085i \(-0.948501\pi\)
0.161085 + 0.986941i \(0.448501\pi\)
\(524\) −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
\(528\) −10341.9 + 8838.49i −0.852412 + 0.728496i
\(529\) 6120.55i 0.503045i
\(530\) 659.551 10719.5i 0.0540549 0.878537i
\(531\) 25704.7i 2.10073i
\(532\) 734.391 + 28.7377i 0.0598494 + 0.00234199i
\(533\) −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
\(538\) −17369.7 + 6799.95i −1.39193 + 0.544920i
\(539\) −9202.49 −0.735397
\(540\) −5234.77 + 1686.62i −0.417164 + 0.134408i
\(541\) 15069.4 1.19757 0.598784 0.800910i \(-0.295651\pi\)
0.598784 + 0.800910i \(0.295651\pi\)
\(542\) −12593.5 + 4930.13i −0.998035 + 0.390715i
\(543\) 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 0.505418 0.862875i \(-0.331338\pi\)
−0.862875 + 0.505418i \(0.831338\pi\)
\(548\) −54.9835 + 1405.10i −0.00428609 + 0.109531i
\(549\) 6544.60i 0.508773i
\(550\) 4549.29 8406.27i 0.352695 0.651717i
\(551\) 3249.00i 0.251202i
\(552\) 6034.38 12448.7i 0.465290 0.959873i
\(553\) 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 \(0.217142\pi\)
\(558\) −6851.88 17502.3i −0.519827 1.32784i
\(559\) −5419.00 −0.410017
\(560\) 566.996 1006.98i 0.0427856 0.0759873i
\(561\) 10904.3 0.820640
\(562\) 3140.99 + 8023.30i 0.235756 + 0.602211i
\(563\) −1561.15 + 1561.15i −0.116864 + 0.116864i −0.763120 0.646256i \(-0.776334\pi\)
0.646256 + 0.763120i \(0.276334\pi\)
\(564\) 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
\(568\) −1553.33 + 3204.46i −0.114747 + 0.236719i
\(569\) 21457.5i 1.58093i −0.612510 0.790463i \(-0.709840\pi\)
0.612510 0.790463i \(-0.290160\pi\)
\(570\) −14116.5 868.565i −1.03733 0.0638249i
\(571\) 5553.22i 0.406997i 0.979075 + 0.203498i \(0.0652312\pi\)
−0.979075 + 0.203498i \(0.934769\pi\)
\(572\) −484.106 + 12371.3i −0.0353872 + 0.904318i
\(573\) 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 \(0.237614\pi\)
\(578\) −6008.91 + 2352.39i −0.432418 + 0.169285i
\(579\) −7950.68 −0.570672
\(580\) 4546.17 + 2330.53i 0.325465 + 0.166845i
\(581\) −1961.07 −0.140033
\(582\) −32716.3 + 12807.9i −2.33013 + 0.912208i
\(583\) 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 \(0.0212382\pi\)
0.0666722 + 0.997775i \(0.478762\pi\)
\(588\) 21394.5 + 837.198i 1.50050 + 0.0587167i
\(589\) 10855.8i 0.759432i
\(590\) 15461.9 + 17489.4i 1.07891 + 1.22038i
\(591\) 3035.33i 0.211264i
\(592\) 2967.24 + 3471.96i 0.206001 + 0.241042i
\(593\) 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
\(598\) −4589.62 11723.7i −0.313852 0.801699i
\(599\) −10193.4 −0.695312 −0.347656 0.937622i \(-0.613022\pi\)
−0.347656 + 0.937622i \(0.613022\pi\)
\(600\) −11341.2 + 19129.6i −0.771674 + 1.30160i
\(601\) −10688.6 −0.725454 −0.362727 0.931895i \(-0.618154\pi\)
−0.362727 + 0.931895i \(0.618154\pi\)
\(602\) 157.642 + 402.677i 0.0106727 + 0.0272623i
\(603\) 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 0.983989 0.178230i \(-0.0570372\pi\)
−0.178230 + 0.983989i \(0.557037\pi\)
\(608\) 9852.35 2992.94i 0.657180 0.199638i
\(609\) 725.306i 0.0482609i
\(610\) 3936.71 + 4452.91i 0.261300 + 0.295563i
\(611\) 27769.1i 1.83866i
\(612\) −14279.0 558.756i −0.943126 0.0369058i
\(613\) 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 \(0.187767\pi\)
\(618\) −15300.7 + 5989.98i −0.995930 + 0.389890i
\(619\) 6990.42 0.453907 0.226954 0.973906i \(-0.427123\pi\)
0.226954 + 0.973906i \(0.427123\pi\)
\(620\) −15190.0 7786.96i −0.983945 0.504406i
\(621\) 4781.34 0.308967
\(622\) 3637.86 1424.16i 0.234510 0.0918068i
\(623\) −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
\(628\) −695.553 + 17774.8i −0.0441968 + 1.12945i
\(629\) 3660.76i 0.232057i
\(630\) 1775.01 + 109.214i 0.112251 + 0.00690662i
\(631\) 16801.3i 1.05998i 0.848003 + 0.529991i \(0.177805\pi\)
−0.848003 + 0.529991i \(0.822195\pi\)
\(632\) 1133.67 + 549.539i 0.0713531 + 0.0345878i
\(633\) −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
\(638\) 1592.17 + 4067.01i 0.0988003 + 0.252374i
\(639\) −5480.04 −0.339260
\(640\) 2879.29 15932.8i 0.177834 0.984060i
\(641\) 7637.22 0.470596 0.235298 0.971923i \(-0.424393\pi\)
0.235298 + 0.971923i \(0.424393\pi\)
\(642\) 7054.17 + 18019.1i 0.433654 + 1.10772i
\(643\) 13378.3 13378.3i 0.820509 0.820509i −0.165672 0.986181i \(-0.552979\pi\)
0.986181 + 0.165672i \(0.0529793\pi\)
\(644\) −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 0.357023 0.934096i \(-0.383792\pi\)
−0.934096 + 0.357023i \(0.883792\pi\)
\(648\) −9298.76 4507.49i −0.563719 0.273258i
\(649\) 19957.4i 1.20708i
\(650\) 5774.80 + 19397.5i 0.348472 + 1.17051i
\(651\) 2423.45i 0.145902i
\(652\) 644.636 16473.6i 0.0387207 0.989506i
\(653\) 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
\(658\) −2063.48 + 807.819i −0.122254 + 0.0478603i
\(659\) −5899.85 −0.348749 −0.174374 0.984679i \(-0.555790\pi\)
−0.174374 + 0.984679i \(0.555790\pi\)
\(660\) −18096.3 + 5830.54i −1.06727 + 0.343869i
\(661\) 25892.6 1.52361 0.761804 0.647808i \(-0.224314\pi\)
0.761804 + 0.647808i \(0.224314\pi\)
\(662\) 22740.0 8902.36i 1.33507 0.522658i
\(663\) −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
\(668\) 9058.05 + 354.454i 0.524650 + 0.0205303i
\(669\) 2877.10i 0.166270i
\(670\) 1583.14 25730.3i 0.0912865 1.48365i
\(671\) 5081.29i 0.292342i
\(672\) −2199.44 + 668.143i −0.126258 + 0.0383544i
\(673\) −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 \(0.996431\pi\)
\(678\) 7944.00 + 20292.0i 0.449982 + 1.14943i
\(679\) 2551.55 0.144211
\(680\) −10051.4 + 8208.93i −0.566846 + 0.462938i
\(681\) −23657.4 −1.33121
\(682\) −5319.88 13589.0i −0.298693 0.762976i
\(683\) −13579.6 + 13579.6i −0.760775 + 0.760775i −0.976463 0.215687i \(-0.930801\pi\)
0.215687 + 0.976463i \(0.430801\pi\)
\(684\) 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
\(688\) 3936.17 + 4605.70i 0.218118 + 0.255219i
\(689\) 19441.3i 1.07497i
\(690\) 14484.8 12805.7i 0.799170 0.706527i
\(691\) 12840.8i 0.706928i −0.935448 0.353464i \(-0.885004\pi\)
0.935448 0.353464i \(-0.114996\pi\)
\(692\) 13346.7 + 522.274i 0.733186 + 0.0286906i
\(693\) 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
\(698\) 25315.4 9910.56i 1.37278 0.537422i
\(699\) 37722.9 2.04122
\(700\) 1273.41 993.400i 0.0687574 0.0536386i
\(701\) −23786.6 −1.28161 −0.640805 0.767704i \(-0.721399\pi\)
−0.640805 + 0.767704i \(0.721399\pi\)
\(702\) 9270.70 3629.33i 0.498433 0.195128i
\(703\) −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
\(708\) 1815.63 46398.3i 0.0963779 2.46293i
\(709\) 21270.0i 1.12667i 0.826227 + 0.563337i \(0.190483\pi\)
−0.826227 + 0.563337i \(0.809517\pi\)
\(710\) −3728.59 + 3296.36i −0.197087 + 0.174240i
\(711\) 1938.73i 0.102262i
\(712\) −1566.25 + 3231.11i −0.0824408 + 0.170072i
\(713\) 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
\(718\) 5772.09 + 14744.1i 0.300017 + 0.766359i
\(719\) −22553.8 −1.16984 −0.584921 0.811090i \(-0.698874\pi\)
−0.584921 + 0.811090i \(0.698874\pi\)
\(720\) 23995.6 6707.71i 1.24203 0.347197i
\(721\) 1193.30 0.0616380
\(722\) −3735.97 9543.10i −0.192574 0.491908i
\(723\) −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 \(-0.996851\pi\)
−0.00989382 0.999951i \(1.49685\pi\)
\(728\) −912.504 + 1882.46i −0.0464556 + 0.0958358i
\(729\) 28955.6i 1.47110i
\(730\) 496.042 8062.01i 0.0251498 0.408751i
\(731\) 4856.16i 0.245706i
\(732\) 462.272 11813.3i 0.0233416 0.596493i
\(733\) 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
\(738\) −6559.06 + 2567.77i −0.327158 + 0.128077i
\(739\) 28579.3 1.42261 0.711304 0.702885i \(-0.248105\pi\)
0.711304 + 0.702885i \(0.248105\pi\)
\(740\) 1957.42 + 6075.26i 0.0972379 + 0.301799i
\(741\) 25602.3 1.26926
\(742\) 1444.65 565.558i 0.0714755 0.0279815i
\(743\) 20848.1 20848.1i 1.02940 1.02940i 0.0298445 0.999555i \(-0.490499\pi\)
0.999555 0.0298445i \(-0.00950122\pi\)
\(744\) 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
\(748\) −11086.3 433.824i −0.541921 0.0212061i
\(749\) 1405.31i 0.0685566i
\(750\) −24925.9 + 18564.5i −1.21356 + 0.903842i
\(751\) 13588.4i 0.660252i 0.943937 + 0.330126i \(0.107091\pi\)
−0.943937 + 0.330126i \(0.892909\pi\)
\(752\) −23601.5 + 20170.5i −1.14449 + 0.978115i
\(753\) −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 \(0.267626\pi\)
\(758\) −10303.1 26318.1i −0.493702 1.26110i
\(759\) 16528.9 0.790461
\(760\) 14317.7 + 1444.69i 0.683364 + 0.0689532i
\(761\) −33489.9 −1.59528 −0.797640 0.603134i \(-0.793919\pi\)
−0.797640 + 0.603134i \(0.793919\pi\)
\(762\) −5716.82 14602.9i −0.271783 0.694237i
\(763\) 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
\(768\) −26042.6 + 18946.3i −1.22361 + 0.890188i
\(769\) 26755.6i 1.25466i −0.778755 0.627328i \(-0.784149\pi\)
0.778755 0.627328i \(-0.215851\pi\)
\(770\) 1378.14 + 84.7946i 0.0644996 + 0.00396855i
\(771\) 21575.4i 1.00780i