Properties

Label 20.4.e.b.7.5
Level 20
Weight 4
Character 20.7
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 7.5
Root \(1.83244 + 0.801352i\)
Character \(\chi\) = 20.7
Dual form 20.4.e.b.3.5

$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).

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

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 0.997361 + 0.0726035i \(0.0231308\pi\)
0.0726035 + 0.997361i \(0.476869\pi\)
\(4\) −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 \(-0.763883\pi\)
0.675603 + 0.737266i \(0.263883\pi\)
\(8\) −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 \(0.120819\pi\)
−0.928826 + 0.370516i \(0.879181\pi\)
\(12\) −2.45951 62.8527i −0.0591667 1.51200i
\(13\) 40.4777 40.4777i 0.863577 0.863577i −0.128174 0.991752i \(-0.540912\pi\)
0.991752 + 0.128174i \(0.0409117\pi\)
\(14\) 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 0.399309 0.916816i \(-0.369250\pi\)
−0.916816 + 0.399309i \(0.869250\pi\)
\(18\) 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 0.412488 0.910963i \(-0.364660\pi\)
−0.910963 + 0.412488i \(0.864660\pi\)
\(24\) −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 \(-0.941461\pi\)
0.983137 0.182869i \(-0.0585385\pi\)
\(30\) −248.168 + 15.2693i −1.51030 + 0.0929263i
\(31\) 190.845i 1.10570i 0.833281 + 0.552850i \(0.186460\pi\)
−0.833281 + 0.552850i \(0.813540\pi\)
\(32\) 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 0.586060 0.810267i \(-0.300678\pi\)
−0.810267 + 0.586060i \(0.800678\pi\)
\(38\) 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 0.578376 0.815770i \(-0.303687\pi\)
−0.815770 + 0.578376i \(0.803687\pi\)
\(44\) 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 −0.0667913 + 0.997767i \(0.521276\pi\)
−0.997767 + 0.0667913i \(0.978724\pi\)
\(48\) −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 −0.323749 0.946143i \(-0.604943\pi\)
0.946143 + 0.323749i \(0.104943\pi\)
\(54\) 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 0.0524612 0.998623i \(-0.483293\pi\)
0.998623 0.0524612i \(-0.0167066\pi\)
\(68\) 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 \(0.0419896\pi\)
−0.991312 + 0.131532i \(0.958010\pi\)
\(72\) −343.677 708.991i −0.562538 1.16049i
\(73\) 180.613 180.613i 0.289577 0.289577i −0.547336 0.836913i \(-0.684358\pi\)
0.836913 + 0.547336i \(0.184358\pi\)
\(74\) −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 0.989253 + 0.146213i \(0.0467085\pi\)
0.146213 + 0.989253i \(0.453292\pi\)
\(84\) 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 \(0.0301252\pi\)
−0.995525 + 0.0944998i \(0.969875\pi\)
\(90\) −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 −0.982363 0.186986i \(-0.940128\pi\)
−0.186986 0.982363i \(-0.559872\pi\)
\(98\) 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 0.411578 0.911374i \(-0.364978\pi\)
−0.911374 + 0.411578i \(0.864978\pi\)
\(104\) −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 \(-0.621410\pi\)
0.928137 + 0.372240i \(0.121410\pi\)
\(108\) 491.538 19.2346i 0.437947 0.0171375i
\(109\) 398.877i 0.350509i −0.984523 0.175254i \(-0.943925\pi\)
0.984523 0.175254i \(-0.0560748\pi\)
\(110\) −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 −0.357201 0.934028i \(-0.616269\pi\)
0.934028 + 0.357201i \(0.116269\pi\)
\(114\) 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 −0.859512 0.511116i \(-0.829232\pi\)
0.511116 + 0.859512i \(0.329232\pi\)
\(128\) −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 \(-0.801963\pi\)
0.812626 0.582785i \(-0.198037\pi\)
\(132\) 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 0.744799 0.667289i \(-0.232546\pi\)
−0.667289 + 0.744799i \(0.732546\pi\)
\(138\) −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 \(0.285217\pi\)
−0.624711 + 0.780856i \(0.714783\pi\)
\(150\) 2664.29 + 793.181i 1.45025 + 0.431753i
\(151\) 2913.54i 1.57020i 0.619368 + 0.785101i \(0.287389\pi\)
−0.619368 + 0.785101i \(0.712611\pi\)
\(152\) −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 0.982977 0.183727i \(-0.0588161\pi\)
−0.183727 + 0.982977i \(0.558816\pi\)
\(158\) −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 0.264236 0.964458i \(-0.414880\pi\)
−0.964458 + 0.264236i \(0.914880\pi\)
\(164\) 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 \(-0.834556\pi\)
0.496671 + 0.867939i \(0.334556\pi\)
\(168\) 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 −0.917220 0.398382i \(-0.869572\pi\)
0.398382 + 0.917220i \(0.369572\pi\)
\(174\) −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 \(-0.755450\pi\)
0.719109 0.694898i \(-0.244550\pi\)
\(192\) 3997.97 471.264i 1.50275 0.177138i
\(193\) −715.028 + 715.028i −0.266678 + 0.266678i −0.827760 0.561082i \(-0.810385\pi\)
0.561082 + 0.827760i \(0.310385\pi\)
\(194\) −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 0.754744 0.656019i \(-0.227761\pi\)
−0.656019 + 0.754744i \(0.727761\pi\)
\(198\) −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 \(0.243918\pi\)
−0.720487 + 0.693468i \(0.756082\pi\)
\(212\) −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 0.744888 0.667189i \(-0.232503\pi\)
−0.667189 + 0.744888i \(0.732503\pi\)
\(224\) −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 \(-0.894978\pi\)
0.323983 + 0.946063i \(0.394978\pi\)
\(228\) −139.904 3575.25i −0.0406377 1.03849i
\(229\) 4654.98i 1.34328i −0.740880 0.671638i \(-0.765591\pi\)
0.740880 0.671638i \(-0.234409\pi\)
\(230\) 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 −0.0451108 0.998982i \(-0.514364\pi\)
0.998982 + 0.0451108i \(0.0143641\pi\)
\(234\) 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 \(0.0758626\pi\)
−0.971734 + 0.236079i \(0.924137\pi\)
\(252\) 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 0.902223 0.431270i \(-0.141934\pi\)
−0.431270 + 0.902223i \(0.641934\pi\)
\(258\) −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 0.815032 0.579416i \(-0.196719\pi\)
−0.579416 + 0.815032i \(0.696719\pi\)
\(264\) 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 \(-0.731303\pi\)
0.664376 0.747398i \(-0.268697\pi\)
\(270\) −119.414 1940.79i −0.0269159 0.437455i
\(271\) 4781.49i 1.07179i −0.844285 0.535895i \(-0.819974\pi\)
0.844285 0.535895i \(-0.180026\pi\)
\(272\) 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 0.976816 + 0.214082i \(0.0686760\pi\)
0.214082 + 0.976816i \(0.431324\pi\)
\(278\) −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 −0.963768 0.266743i \(-0.914053\pi\)
−0.266743 0.963768i \(1.41405\pi\)
\(284\) 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 −0.0736515 + 0.997284i \(0.523465\pi\)
−0.997284 + 0.0736515i \(0.976535\pi\)
\(294\) 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 −0.557722 0.830028i \(-0.688324\pi\)
0.830028 + 0.557722i \(0.188324\pi\)
\(308\) 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 \(0.0401882\pi\)
−0.992040 + 0.125920i \(0.959812\pi\)
\(312\) −9164.39 + 4442.36i −1.66292 + 0.806086i
\(313\) −1989.95 + 1989.95i −0.359356 + 0.359356i −0.863575 0.504220i \(-0.831780\pi\)
0.504220 + 0.863575i \(0.331780\pi\)
\(314\) 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 0.498541 0.866866i \(-0.333869\pi\)
−0.866866 + 0.498541i \(0.833869\pi\)
\(318\) 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 \(0.254424\pi\)
−0.697211 + 0.716866i \(0.745576\pi\)
\(332\) −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 0.409004 0.912532i \(-0.365876\pi\)
−0.912532 + 0.409004i \(0.865876\pi\)
\(338\) −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 −0.755379 0.655288i \(-0.772547\pi\)
0.655288 + 0.755379i \(0.272547\pi\)
\(348\) −3589.98 + 140.481i −0.552997 + 0.0216395i
\(349\) 9611.76i 1.47423i 0.675768 + 0.737114i \(0.263812\pi\)
−0.675768 + 0.737114i \(0.736188\pi\)
\(350\) −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 −0.977529 0.210799i \(-0.932393\pi\)
0.210799 + 0.977529i \(0.432393\pi\)
\(354\) −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 −0.918463 0.395506i \(-0.870569\pi\)
0.395506 + 0.918463i \(0.370569\pi\)
\(368\) 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 −0.0544219 0.998518i \(-0.517332\pi\)
0.998518 + 0.0544219i \(0.0173316\pi\)
\(374\) −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 0.568057 0.822989i \(-0.307695\pi\)
−0.822989 + 0.568057i \(0.807695\pi\)
\(384\) 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 \(0.00317337\pi\)
−0.999950 + 0.00996927i \(0.996827\pi\)
\(390\) −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 0.906199 0.422850i \(-0.138970\pi\)
−0.422850 + 0.906199i \(0.638970\pi\)
\(398\) −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 \(0.0577057\pi\)
−0.983612 + 0.180296i \(0.942294\pi\)
\(410\) 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 \(-0.870634\pi\)
0.918544 0.395318i \(-0.129366\pi\)
\(432\) −2991.63 2556.73i −0.333182 0.284747i
\(433\) 2645.06 2645.06i 0.293564 0.293564i −0.544922 0.838487i \(-0.683441\pi\)
0.838487 + 0.544922i \(0.183441\pi\)
\(434\) −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 0.584927 0.811086i \(-0.301123\pi\)
−0.811086 + 0.584927i \(0.801123\pi\)
\(444\) −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 \(0.00227719\pi\)
−0.999974 + 0.00715394i \(0.997723\pi\)
\(450\) 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 0.278638 0.960396i \(-0.410117\pi\)
−0.960396 + 0.278638i \(0.910117\pi\)
\(458\) −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 0.751518 0.659713i \(-0.229322\pi\)
−0.659713 + 0.751518i \(0.729322\pi\)
\(464\) 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 \(-0.737913\pi\)
0.733441 + 0.679753i \(0.237913\pi\)
\(468\) −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 −0.700509 0.713644i \(-0.747044\pi\)
0.713644 + 0.700509i \(0.247044\pi\)
\(488\) 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 \(-0.986394\pi\)
0.999087 0.0427327i \(-0.0136064\pi\)
\(492\) 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 0.886202 0.463300i \(-0.153335\pi\)
−0.463300 + 0.886202i \(0.653335\pi\)
\(504\) 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 \(-0.883963\pi\)
0.934288 0.356520i \(-0.116037\pi\)
\(510\) 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 0.161085 0.986941i \(-0.448501\pi\)
−0.986941 + 0.161085i \(0.948501\pi\)
\(524\) −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 −0.862875 0.505418i \(-0.831338\pi\)
0.505418 + 0.862875i \(0.331338\pi\)
\(548\) −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 0.776205 0.630480i \(-0.217142\pi\)
−0.630480 + 0.776205i \(0.717142\pi\)
\(558\) −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 0.646256 0.763120i \(-0.276334\pi\)
−0.763120 + 0.646256i \(0.776334\pi\)
\(564\) 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 \(0.290160\pi\)
−0.612510 + 0.790463i \(0.709840\pi\)
\(570\) −14116.5 + 868.565i −1.03733 + 0.0638249i
\(571\) 5553.22i 0.406997i −0.979075 0.203498i \(-0.934769\pi\)
0.979075 0.203498i \(-0.0652312\pi\)
\(572\) −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 0.734079 0.679064i \(-0.237614\pi\)
−0.679064 + 0.734079i \(0.737614\pi\)
\(578\) −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 0.0666722 0.997775i \(-0.478762\pi\)
0.997775 0.0666722i \(-0.0212382\pi\)
\(588\) 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 −0.648131 0.761529i \(-0.724449\pi\)
0.761529 + 0.648131i \(0.224449\pi\)
\(594\) −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 −0.178230 0.983989i \(-0.557037\pi\)
0.983989 + 0.178230i \(0.0570372\pi\)
\(608\) 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 −0.567112 0.823641i \(-0.691939\pi\)
0.823641 + 0.567112i \(0.191939\pi\)
\(614\) −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 0.831003 0.556268i \(-0.187767\pi\)
−0.556268 + 0.831003i \(0.687767\pi\)
\(618\) −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 \(-0.822195\pi\)
0.848003 0.529991i \(-0.177805\pi\)
\(632\) 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 0.986181 0.165672i \(-0.0529793\pi\)
−0.165672 + 0.986181i \(0.552979\pi\)
\(644\) −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 \(-0.883792\pi\)
0.357023 + 0.934096i \(0.383792\pi\)
\(648\) −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 −0.229065 0.973411i \(-0.573567\pi\)
0.973411 + 0.229065i \(0.0735667\pi\)
\(654\) −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 −0.123475 + 0.992348i \(0.539404\pi\)
−0.992348 + 0.123475i \(0.960596\pi\)
\(674\) −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 −0.999937 0.0112114i \(-0.996431\pi\)
−0.0112114 0.999937i \(-0.503569\pi\)
\(678\) 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 0.215687 0.976463i \(-0.430801\pi\)
−0.976463 + 0.215687i \(0.930801\pi\)
\(684\) 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 \(0.114996\pi\)
−0.935448 + 0.353464i \(0.885004\pi\)
\(692\) 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 \(-0.809517\pi\)
0.826227 0.563337i \(-0.190483\pi\)
\(710\) −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 −0.00989382 + 0.999951i \(0.503149\pi\)
−0.999951 + 0.00989382i \(0.996851\pi\)
\(728\) −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 −0.402078 0.915606i \(-0.631712\pi\)
0.915606 + 0.402078i \(0.131712\pi\)
\(734\) 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 0.999555 + 0.0298445i \(0.00950122\pi\)
0.0298445 + 0.999555i \(0.490499\pi\)
\(744\) 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 \(-0.892909\pi\)
0.943937 0.330126i \(-0.107091\pi\)
\(752\) −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 0.666887 0.745159i \(-0.267626\pi\)
−0.745159 + 0.666887i \(0.767626\pi\)
\(758\) −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 \(0.215851\pi\)
−0.778755 + 0.627328i \(0.784149\pi\)
\(770\) 1378.14 84.7946i 0.0644996 0.00396855i
\(771\) 21575.4i 1.00780i