Properties

Label 21.4.g.a.5.6
Level $21$
Weight $4$
Character 21.5
Analytic conductor $1.239$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 21.g (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.23904011012\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - x^{11} - 29 x^{9} + 6 x^{8} - 49 x^{7} + 1564 x^{6} - 441 x^{5} + 486 x^{4} - 21141 x^{3} - 59049 x + 531441\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3^{3} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.6
Root \(-0.232749 + 2.99096i\) of defining polynomial
Character \(\chi\) \(=\) 21.5
Dual form 21.4.g.a.17.6

$q$-expansion

\(f(q)\) \(=\) \(q+(3.93653 + 2.27276i) q^{2} +(-5.18049 - 0.403134i) q^{3} +(6.33084 + 10.9653i) q^{4} +(5.80193 - 10.0492i) q^{5} +(-19.4769 - 13.3609i) q^{6} +(-18.4018 - 2.09174i) q^{7} +21.1897i q^{8} +(26.6750 + 4.17686i) q^{9} +O(q^{10})\) \(q+(3.93653 + 2.27276i) q^{2} +(-5.18049 - 0.403134i) q^{3} +(6.33084 + 10.9653i) q^{4} +(5.80193 - 10.0492i) q^{5} +(-19.4769 - 13.3609i) q^{6} +(-18.4018 - 2.09174i) q^{7} +21.1897i q^{8} +(26.6750 + 4.17686i) q^{9} +(45.6790 - 26.3728i) q^{10} +(-15.5157 + 8.95800i) q^{11} +(-28.3764 - 59.3580i) q^{12} +62.4185i q^{13} +(-67.6850 - 50.0569i) q^{14} +(-34.1081 + 49.7211i) q^{15} +(2.48762 - 4.30868i) q^{16} +(-10.7082 - 18.5472i) q^{17} +(95.5138 + 77.0680i) q^{18} +(9.50747 + 5.48914i) q^{19} +146.925 q^{20} +(94.4869 + 18.2546i) q^{21} -81.4374 q^{22} +(59.8367 + 34.5467i) q^{23} +(8.54230 - 109.773i) q^{24} +(-4.82490 - 8.35697i) q^{25} +(-141.862 + 245.712i) q^{26} +(-136.506 - 32.3918i) q^{27} +(-93.5619 - 215.024i) q^{28} -265.583i q^{29} +(-247.271 + 118.209i) q^{30} +(8.85795 - 5.11414i) q^{31} +(166.392 - 96.0665i) q^{32} +(83.9902 - 40.1519i) q^{33} -97.3486i q^{34} +(-127.786 + 172.788i) q^{35} +(123.074 + 318.943i) q^{36} +(-20.8257 + 36.0712i) q^{37} +(24.9510 + 43.2163i) q^{38} +(25.1630 - 323.358i) q^{39} +(212.941 + 122.941i) q^{40} +31.0035 q^{41} +(330.462 + 286.606i) q^{42} -224.550 q^{43} +(-196.455 - 113.423i) q^{44} +(196.741 - 243.829i) q^{45} +(157.033 + 271.988i) q^{46} +(81.8595 - 141.785i) q^{47} +(-14.6241 + 21.3182i) q^{48} +(334.249 + 76.9836i) q^{49} -43.8633i q^{50} +(47.9968 + 100.400i) q^{51} +(-684.440 + 395.161i) q^{52} +(-456.586 + 263.610i) q^{53} +(-463.740 - 437.755i) q^{54} +207.895i q^{55} +(44.3235 - 389.928i) q^{56} +(-47.0405 - 32.2692i) q^{57} +(603.606 - 1045.48i) q^{58} +(205.978 + 356.765i) q^{59} +(-761.141 - 59.2302i) q^{60} +(223.807 + 129.215i) q^{61} +46.4928 q^{62} +(-482.129 - 132.659i) q^{63} +833.541 q^{64} +(627.258 + 362.148i) q^{65} +(421.886 + 32.8302i) q^{66} +(-161.737 - 280.137i) q^{67} +(135.584 - 234.838i) q^{68} +(-296.056 - 203.091i) q^{69} +(-895.738 + 389.756i) q^{70} +45.4199i q^{71} +(-88.5066 + 565.236i) q^{72} +(-486.879 + 281.100i) q^{73} +(-163.962 + 94.6635i) q^{74} +(21.6264 + 45.2383i) q^{75} +139.004i q^{76} +(304.254 - 132.388i) q^{77} +(833.969 - 1215.72i) q^{78} +(-144.610 + 250.473i) q^{79} +(-28.8660 - 49.9974i) q^{80} +(694.108 + 222.835i) q^{81} +(122.046 + 70.4635i) q^{82} -448.767 q^{83} +(398.013 + 1151.65i) q^{84} -248.513 q^{85} +(-883.949 - 510.348i) q^{86} +(-107.066 + 1375.85i) q^{87} +(-189.818 - 328.774i) q^{88} +(280.814 - 486.384i) q^{89} +(1328.64 - 512.698i) q^{90} +(130.563 - 1148.61i) q^{91} +874.839i q^{92} +(-47.9502 + 22.9228i) q^{93} +(644.484 - 372.093i) q^{94} +(110.323 - 63.6953i) q^{95} +(-900.720 + 430.593i) q^{96} -214.364i q^{97} +(1140.82 + 1062.71i) q^{98} +(-451.297 + 174.147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 3q^{3} + 14q^{4} - 56q^{7} - 3q^{9} + O(q^{10}) \) \( 12q - 3q^{3} + 14q^{4} - 56q^{7} - 3q^{9} + 30q^{10} - 192q^{12} + 6q^{15} + 134q^{16} + 66q^{18} + 300q^{19} + 357q^{21} - 268q^{22} + 414q^{24} - 42q^{25} - 602q^{28} - 822q^{30} - 930q^{31} - 855q^{33} + 852q^{36} + 764q^{37} - 426q^{39} + 2298q^{40} + 966q^{42} - 1012q^{43} + 2367q^{45} + 608q^{46} - 336q^{49} - 1341q^{51} - 3000q^{52} - 4158q^{54} + 270q^{57} + 2870q^{58} - 918q^{60} + 2358q^{61} + 1071q^{63} - 548q^{64} + 2934q^{66} + 792q^{67} - 4242q^{70} - 2712q^{72} - 2904q^{73} - 2418q^{75} + 4296q^{78} + 1674q^{79} + 837q^{81} + 5040q^{82} + 3864q^{84} + 348q^{85} + 1638q^{87} - 554q^{88} - 1218q^{91} - 1479q^{93} - 1356q^{94} - 4410q^{96} - 3354q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.93653 + 2.27276i 1.39177 + 0.803541i 0.993512 0.113731i \(-0.0362803\pi\)
0.398262 + 0.917272i \(0.369614\pi\)
\(3\) −5.18049 0.403134i −0.996986 0.0775831i
\(4\) 6.33084 + 10.9653i 0.791355 + 1.37067i
\(5\) 5.80193 10.0492i 0.518941 0.898832i −0.480817 0.876821i \(-0.659660\pi\)
0.999758 0.0220109i \(-0.00700684\pi\)
\(6\) −19.4769 13.3609i −1.32524 0.909097i
\(7\) −18.4018 2.09174i −0.993601 0.112944i
\(8\) 21.1897i 0.936463i
\(9\) 26.6750 + 4.17686i 0.987962 + 0.154699i
\(10\) 45.6790 26.3728i 1.44450 0.833980i
\(11\) −15.5157 + 8.95800i −0.425287 + 0.245540i −0.697337 0.716743i \(-0.745632\pi\)
0.272050 + 0.962283i \(0.412299\pi\)
\(12\) −28.3764 59.3580i −0.682629 1.42793i
\(13\) 62.4185i 1.33167i 0.746097 + 0.665837i \(0.231925\pi\)
−0.746097 + 0.665837i \(0.768075\pi\)
\(14\) −67.6850 50.0569i −1.29211 0.955591i
\(15\) −34.1081 + 49.7211i −0.587111 + 0.855862i
\(16\) 2.48762 4.30868i 0.0388690 0.0673231i
\(17\) −10.7082 18.5472i −0.152772 0.264609i 0.779474 0.626435i \(-0.215487\pi\)
−0.932245 + 0.361826i \(0.882153\pi\)
\(18\) 95.5138 + 77.0680i 1.25071 + 1.00917i
\(19\) 9.50747 + 5.48914i 0.114798 + 0.0662787i 0.556300 0.830982i \(-0.312221\pi\)
−0.441502 + 0.897261i \(0.645554\pi\)
\(20\) 146.925 1.64267
\(21\) 94.4869 + 18.2546i 0.981844 + 0.189690i
\(22\) −81.4374 −0.789205
\(23\) 59.8367 + 34.5467i 0.542470 + 0.313195i 0.746079 0.665857i \(-0.231934\pi\)
−0.203609 + 0.979052i \(0.565267\pi\)
\(24\) 8.54230 109.773i 0.0726537 0.933641i
\(25\) −4.82490 8.35697i −0.0385992 0.0668557i
\(26\) −141.862 + 245.712i −1.07005 + 1.85339i
\(27\) −136.506 32.3918i −0.972982 0.230881i
\(28\) −93.5619 215.024i −0.631484 1.45128i
\(29\) 265.583i 1.70061i −0.526294 0.850303i \(-0.676419\pi\)
0.526294 0.850303i \(-0.323581\pi\)
\(30\) −247.271 + 118.209i −1.50484 + 0.719398i
\(31\) 8.85795 5.11414i 0.0513205 0.0296299i −0.474120 0.880460i \(-0.657234\pi\)
0.525441 + 0.850830i \(0.323900\pi\)
\(32\) 166.392 96.0665i 0.919195 0.530697i
\(33\) 83.9902 40.1519i 0.443055 0.211805i
\(34\) 97.3486i 0.491034i
\(35\) −127.786 + 172.788i −0.617138 + 0.834470i
\(36\) 123.074 + 318.943i 0.569788 + 1.47659i
\(37\) −20.8257 + 36.0712i −0.0925331 + 0.160272i −0.908576 0.417719i \(-0.862830\pi\)
0.816043 + 0.577991i \(0.196163\pi\)
\(38\) 24.9510 + 43.2163i 0.106515 + 0.184490i
\(39\) 25.1630 323.358i 0.103315 1.32766i
\(40\) 212.941 + 122.941i 0.841723 + 0.485969i
\(41\) 31.0035 0.118096 0.0590480 0.998255i \(-0.481193\pi\)
0.0590480 + 0.998255i \(0.481193\pi\)
\(42\) 330.462 + 286.606i 1.21408 + 1.05296i
\(43\) −224.550 −0.796363 −0.398181 0.917307i \(-0.630359\pi\)
−0.398181 + 0.917307i \(0.630359\pi\)
\(44\) −196.455 113.423i −0.673107 0.388618i
\(45\) 196.741 243.829i 0.651742 0.807732i
\(46\) 157.033 + 271.988i 0.503330 + 0.871793i
\(47\) 81.8595 141.785i 0.254052 0.440031i −0.710586 0.703611i \(-0.751570\pi\)
0.964638 + 0.263580i \(0.0849033\pi\)
\(48\) −14.6241 + 21.3182i −0.0439750 + 0.0641046i
\(49\) 334.249 + 76.9836i 0.974487 + 0.224442i
\(50\) 43.8633i 0.124064i
\(51\) 47.9968 + 100.400i 0.131782 + 0.275664i
\(52\) −684.440 + 395.161i −1.82528 + 1.05383i
\(53\) −456.586 + 263.610i −1.18334 + 0.683200i −0.956784 0.290799i \(-0.906079\pi\)
−0.226553 + 0.973999i \(0.572746\pi\)
\(54\) −463.740 437.755i −1.16865 1.10317i
\(55\) 207.895i 0.509682i
\(56\) 44.3235 389.928i 0.105768 0.930471i
\(57\) −47.0405 32.2692i −0.109310 0.0749853i
\(58\) 603.606 1045.48i 1.36651 2.36686i
\(59\) 205.978 + 356.765i 0.454510 + 0.787234i 0.998660 0.0517537i \(-0.0164811\pi\)
−0.544150 + 0.838988i \(0.683148\pi\)
\(60\) −761.141 59.2302i −1.63771 0.127443i
\(61\) 223.807 + 129.215i 0.469764 + 0.271218i 0.716141 0.697956i \(-0.245907\pi\)
−0.246377 + 0.969174i \(0.579240\pi\)
\(62\) 46.4928 0.0952352
\(63\) −482.129 132.659i −0.964168 0.265293i
\(64\) 833.541 1.62801
\(65\) 627.258 + 362.148i 1.19695 + 0.691060i
\(66\) 421.886 + 32.8302i 0.786826 + 0.0612290i
\(67\) −161.737 280.137i −0.294915 0.510808i 0.680050 0.733166i \(-0.261958\pi\)
−0.974965 + 0.222357i \(0.928625\pi\)
\(68\) 135.584 234.838i 0.241794 0.418799i
\(69\) −296.056 203.091i −0.516536 0.354338i
\(70\) −895.738 + 389.756i −1.52945 + 0.665497i
\(71\) 45.4199i 0.0759205i 0.999279 + 0.0379603i \(0.0120860\pi\)
−0.999279 + 0.0379603i \(0.987914\pi\)
\(72\) −88.5066 + 565.236i −0.144869 + 0.925190i
\(73\) −486.879 + 281.100i −0.780615 + 0.450688i −0.836648 0.547741i \(-0.815488\pi\)
0.0560334 + 0.998429i \(0.482155\pi\)
\(74\) −163.962 + 94.6635i −0.257570 + 0.148708i
\(75\) 21.6264 + 45.2383i 0.0332960 + 0.0696489i
\(76\) 139.004i 0.209800i
\(77\) 304.254 132.388i 0.450298 0.195935i
\(78\) 833.969 1215.72i 1.21062 1.76478i
\(79\) −144.610 + 250.473i −0.205949 + 0.356714i −0.950435 0.310925i \(-0.899361\pi\)
0.744486 + 0.667638i \(0.232695\pi\)
\(80\) −28.8660 49.9974i −0.0403415 0.0698735i
\(81\) 694.108 + 222.835i 0.952137 + 0.305673i
\(82\) 122.046 + 70.4635i 0.164363 + 0.0948950i
\(83\) −448.767 −0.593477 −0.296738 0.954959i \(-0.595899\pi\)
−0.296738 + 0.954959i \(0.595899\pi\)
\(84\) 398.013 + 1151.65i 0.516986 + 1.49589i
\(85\) −248.513 −0.317118
\(86\) −883.949 510.348i −1.10836 0.639910i
\(87\) −107.066 + 1375.85i −0.131938 + 1.69548i
\(88\) −189.818 328.774i −0.229939 0.398266i
\(89\) 280.814 486.384i 0.334452 0.579288i −0.648927 0.760850i \(-0.724782\pi\)
0.983379 + 0.181562i \(0.0581155\pi\)
\(90\) 1328.64 512.698i 1.55612 0.600479i
\(91\) 130.563 1148.61i 0.150404 1.32315i
\(92\) 874.839i 0.991394i
\(93\) −47.9502 + 22.9228i −0.0534645 + 0.0255590i
\(94\) 644.484 372.093i 0.707165 0.408282i
\(95\) 110.323 63.6953i 0.119147 0.0687895i
\(96\) −900.720 + 430.593i −0.957597 + 0.457784i
\(97\) 214.364i 0.224385i −0.993686 0.112192i \(-0.964213\pi\)
0.993686 0.112192i \(-0.0357873\pi\)
\(98\) 1140.82 + 1062.71i 1.17592 + 1.09541i
\(99\) −451.297 + 174.147i −0.458152 + 0.176793i
\(100\) 61.0913 105.813i 0.0610913 0.105813i
\(101\) −858.845 1487.56i −0.846122 1.46553i −0.884644 0.466268i \(-0.845598\pi\)
0.0385219 0.999258i \(-0.487735\pi\)
\(102\) −39.2445 + 504.313i −0.0380959 + 0.489554i
\(103\) 1002.61 + 578.855i 0.959123 + 0.553750i 0.895903 0.444250i \(-0.146530\pi\)
0.0632200 + 0.998000i \(0.479863\pi\)
\(104\) −1322.63 −1.24706
\(105\) 731.652 843.610i 0.680018 0.784075i
\(106\) −2396.48 −2.19592
\(107\) −1054.64 608.897i −0.952859 0.550134i −0.0588912 0.998264i \(-0.518757\pi\)
−0.893968 + 0.448131i \(0.852090\pi\)
\(108\) −509.008 1701.90i −0.453513 1.51634i
\(109\) −649.132 1124.33i −0.570418 0.987992i −0.996523 0.0833189i \(-0.973448\pi\)
0.426105 0.904674i \(-0.359885\pi\)
\(110\) −472.494 + 818.384i −0.409551 + 0.709362i
\(111\) 122.429 178.471i 0.104689 0.152610i
\(112\) −54.7892 + 74.0838i −0.0462240 + 0.0625024i
\(113\) 1437.86i 1.19701i 0.801118 + 0.598506i \(0.204239\pi\)
−0.801118 + 0.598506i \(0.795761\pi\)
\(114\) −111.836 233.940i −0.0918809 0.192198i
\(115\) 694.337 400.876i 0.563019 0.325059i
\(116\) 2912.21 1681.37i 2.33096 1.34578i
\(117\) −260.713 + 1665.01i −0.206008 + 1.31564i
\(118\) 1872.55i 1.46087i
\(119\) 158.254 + 363.699i 0.121908 + 0.280170i
\(120\) −1053.58 722.741i −0.801483 0.549808i
\(121\) −505.009 + 874.701i −0.379420 + 0.657175i
\(122\) 587.350 + 1017.32i 0.435870 + 0.754949i
\(123\) −160.613 12.4986i −0.117740 0.00916226i
\(124\) 112.157 + 64.7536i 0.0812254 + 0.0468955i
\(125\) 1338.51 0.957759
\(126\) −1596.41 1617.98i −1.12873 1.14398i
\(127\) 2686.32 1.87695 0.938475 0.345347i \(-0.112239\pi\)
0.938475 + 0.345347i \(0.112239\pi\)
\(128\) 1950.12 + 1125.90i 1.34663 + 0.777474i
\(129\) 1163.28 + 90.5238i 0.793962 + 0.0617843i
\(130\) 1646.15 + 2851.21i 1.11059 + 1.92360i
\(131\) 801.637 1388.48i 0.534651 0.926043i −0.464529 0.885558i \(-0.653776\pi\)
0.999180 0.0404852i \(-0.0128904\pi\)
\(132\) 972.008 + 666.786i 0.640928 + 0.439669i
\(133\) −163.472 120.897i −0.106578 0.0788203i
\(134\) 1470.36i 0.947906i
\(135\) −1117.51 + 1183.84i −0.712444 + 0.754733i
\(136\) 393.010 226.904i 0.247796 0.143065i
\(137\) −2007.90 + 1159.26i −1.25216 + 0.722938i −0.971539 0.236879i \(-0.923875\pi\)
−0.280626 + 0.959817i \(0.590542\pi\)
\(138\) −703.858 1472.34i −0.434176 0.908215i
\(139\) 1841.57i 1.12374i −0.827225 0.561871i \(-0.810082\pi\)
0.827225 0.561871i \(-0.189918\pi\)
\(140\) −2703.67 307.329i −1.63216 0.185529i
\(141\) −481.230 + 701.514i −0.287425 + 0.418994i
\(142\) −103.228 + 178.797i −0.0610052 + 0.105664i
\(143\) −559.144 968.466i −0.326979 0.566344i
\(144\) 84.3539 104.543i 0.0488159 0.0604997i
\(145\) −2668.91 1540.90i −1.52856 0.882514i
\(146\) −2555.48 −1.44858
\(147\) −1700.54 533.560i −0.954137 0.299369i
\(148\) −527.377 −0.292906
\(149\) 1126.68 + 650.488i 0.619470 + 0.357651i 0.776663 0.629917i \(-0.216911\pi\)
−0.157193 + 0.987568i \(0.550244\pi\)
\(150\) −17.6828 + 227.233i −0.00962527 + 0.123690i
\(151\) 1308.24 + 2265.94i 0.705055 + 1.22119i 0.966672 + 0.256020i \(0.0824112\pi\)
−0.261616 + 0.965172i \(0.584255\pi\)
\(152\) −116.314 + 201.461i −0.0620676 + 0.107504i
\(153\) −208.172 539.472i −0.109998 0.285057i
\(154\) 1498.59 + 170.346i 0.784155 + 0.0891356i
\(155\) 118.688i 0.0615046i
\(156\) 3705.04 1771.21i 1.90154 0.909040i
\(157\) −809.876 + 467.582i −0.411689 + 0.237689i −0.691515 0.722362i \(-0.743056\pi\)
0.279826 + 0.960051i \(0.409723\pi\)
\(158\) −1138.53 + 657.329i −0.573268 + 0.330976i
\(159\) 2471.61 1181.56i 1.23278 0.589334i
\(160\) 2229.49i 1.10160i
\(161\) −1028.84 760.883i −0.503625 0.372460i
\(162\) 2225.92 + 2454.74i 1.07954 + 1.19051i
\(163\) 259.079 448.738i 0.124495 0.215631i −0.797041 0.603926i \(-0.793602\pi\)
0.921535 + 0.388295i \(0.126936\pi\)
\(164\) 196.278 + 339.964i 0.0934559 + 0.161870i
\(165\) 83.8094 1077.00i 0.0395428 0.508146i
\(166\) −1766.58 1019.94i −0.825985 0.476883i
\(167\) 3767.97 1.74595 0.872977 0.487761i \(-0.162186\pi\)
0.872977 + 0.487761i \(0.162186\pi\)
\(168\) −386.811 + 2002.15i −0.177638 + 0.919461i
\(169\) −1699.06 −0.773356
\(170\) −978.280 564.810i −0.441357 0.254817i
\(171\) 230.684 + 186.134i 0.103163 + 0.0832399i
\(172\) −1421.59 2462.27i −0.630206 1.09155i
\(173\) −1196.53 + 2072.45i −0.525841 + 0.910783i 0.473706 + 0.880683i \(0.342916\pi\)
−0.999547 + 0.0301000i \(0.990417\pi\)
\(174\) −3548.44 + 5172.74i −1.54602 + 2.25371i
\(175\) 71.3059 + 163.875i 0.0308013 + 0.0707875i
\(176\) 89.1363i 0.0381756i
\(177\) −923.244 1931.25i −0.392064 0.820124i
\(178\) 2210.87 1276.44i 0.930963 0.537492i
\(179\) −554.381 + 320.072i −0.231488 + 0.133650i −0.611258 0.791431i \(-0.709336\pi\)
0.379770 + 0.925081i \(0.376003\pi\)
\(180\) 3919.21 + 613.683i 1.62289 + 0.254118i
\(181\) 4204.05i 1.72643i 0.504833 + 0.863217i \(0.331554\pi\)
−0.504833 + 0.863217i \(0.668446\pi\)
\(182\) 3124.48 4224.79i 1.27254 1.72067i
\(183\) −1107.34 759.623i −0.447306 0.306847i
\(184\) −732.036 + 1267.92i −0.293296 + 0.508003i
\(185\) 241.659 + 418.565i 0.0960384 + 0.166343i
\(186\) −240.855 18.7428i −0.0949482 0.00738865i
\(187\) 332.291 + 191.848i 0.129944 + 0.0750231i
\(188\) 2072.96 0.804181
\(189\) 2444.19 + 881.600i 0.940680 + 0.339296i
\(190\) 579.056 0.221101
\(191\) 1261.85 + 728.530i 0.478033 + 0.275993i 0.719597 0.694392i \(-0.244327\pi\)
−0.241563 + 0.970385i \(0.577660\pi\)
\(192\) −4318.15 336.028i −1.62310 0.126306i
\(193\) −914.633 1584.19i −0.341123 0.590842i 0.643519 0.765430i \(-0.277474\pi\)
−0.984642 + 0.174588i \(0.944141\pi\)
\(194\) 487.196 843.849i 0.180302 0.312293i
\(195\) −3103.51 2128.97i −1.13973 0.781840i
\(196\) 1271.93 + 4152.53i 0.463531 + 1.51331i
\(197\) 661.168i 0.239118i −0.992827 0.119559i \(-0.961852\pi\)
0.992827 0.119559i \(-0.0381481\pi\)
\(198\) −2172.34 340.153i −0.779704 0.122089i
\(199\) −1687.99 + 974.564i −0.601300 + 0.347161i −0.769553 0.638583i \(-0.779521\pi\)
0.168253 + 0.985744i \(0.446188\pi\)
\(200\) 177.082 102.238i 0.0626079 0.0361467i
\(201\) 724.945 + 1516.45i 0.254396 + 0.532149i
\(202\) 7807.78i 2.71957i
\(203\) −555.532 + 4887.20i −0.192073 + 1.68972i
\(204\) −797.063 + 1161.92i −0.273557 + 0.398777i
\(205\) 179.880 311.562i 0.0612849 0.106148i
\(206\) 2631.19 + 4557.36i 0.889921 + 1.54139i
\(207\) 1451.84 + 1171.46i 0.487489 + 0.393344i
\(208\) 268.941 + 155.273i 0.0896525 + 0.0517609i
\(209\) −196.687 −0.0650963
\(210\) 4797.49 1658.03i 1.57647 0.544832i
\(211\) 3341.96 1.09038 0.545189 0.838313i \(-0.316458\pi\)
0.545189 + 0.838313i \(0.316458\pi\)
\(212\) −5781.14 3337.74i −1.87288 1.08131i
\(213\) 18.3103 235.298i 0.00589015 0.0756917i
\(214\) −2767.75 4793.88i −0.884109 1.53132i
\(215\) −1302.83 + 2256.56i −0.413265 + 0.715796i
\(216\) 686.373 2892.52i 0.216212 0.911162i
\(217\) −173.699 + 75.5805i −0.0543386 + 0.0236440i
\(218\) 5901.27i 1.83342i
\(219\) 2635.59 1259.96i 0.813228 0.388767i
\(220\) −2279.64 + 1316.15i −0.698605 + 0.403340i
\(221\) 1157.68 668.390i 0.352372 0.203442i
\(222\) 887.566 424.305i 0.268331 0.128277i
\(223\) 2143.28i 0.643608i 0.946806 + 0.321804i \(0.104289\pi\)
−0.946806 + 0.321804i \(0.895711\pi\)
\(224\) −3262.85 + 1419.74i −0.973252 + 0.423484i
\(225\) −93.7981 243.075i −0.0277920 0.0720221i
\(226\) −3267.90 + 5660.17i −0.961848 + 1.66597i
\(227\) −1284.55 2224.91i −0.375589 0.650540i 0.614826 0.788663i \(-0.289226\pi\)
−0.990415 + 0.138123i \(0.955893\pi\)
\(228\) 56.0370 720.107i 0.0162769 0.209168i
\(229\) 91.0827 + 52.5866i 0.0262835 + 0.0151748i 0.513084 0.858338i \(-0.328503\pi\)
−0.486801 + 0.873513i \(0.661836\pi\)
\(230\) 3644.37 1.04479
\(231\) −1629.56 + 563.180i −0.464142 + 0.160409i
\(232\) 5627.64 1.59255
\(233\) −2273.94 1312.86i −0.639360 0.369135i 0.145008 0.989431i \(-0.453679\pi\)
−0.784368 + 0.620296i \(0.787013\pi\)
\(234\) −4810.47 + 5961.82i −1.34389 + 1.66554i
\(235\) −949.887 1645.25i −0.263676 0.456700i
\(236\) −2608.03 + 4517.24i −0.719358 + 1.24596i
\(237\) 850.127 1239.27i 0.233003 0.339660i
\(238\) −203.628 + 1791.38i −0.0554591 + 0.487892i
\(239\) 6080.85i 1.64576i −0.568212 0.822882i \(-0.692365\pi\)
0.568212 0.822882i \(-0.307635\pi\)
\(240\) 129.384 + 270.648i 0.0347989 + 0.0727927i
\(241\) 4008.74 2314.45i 1.07147 0.618616i 0.142891 0.989738i \(-0.454360\pi\)
0.928584 + 0.371122i \(0.121027\pi\)
\(242\) −3975.96 + 2295.52i −1.05613 + 0.609759i
\(243\) −3505.99 1434.21i −0.925552 0.378621i
\(244\) 3272.17i 0.858521i
\(245\) 2712.92 2912.30i 0.707437 0.759428i
\(246\) −603.853 414.236i −0.156505 0.107361i
\(247\) −342.624 + 593.442i −0.0882617 + 0.152874i
\(248\) 108.367 + 187.698i 0.0277473 + 0.0480597i
\(249\) 2324.83 + 180.913i 0.591688 + 0.0460438i
\(250\) 5269.08 + 3042.10i 1.33298 + 0.769598i
\(251\) −5967.85 −1.50075 −0.750373 0.661015i \(-0.770126\pi\)
−0.750373 + 0.661015i \(0.770126\pi\)
\(252\) −1597.64 6126.55i −0.399371 1.53149i
\(253\) −1237.88 −0.307607
\(254\) 10574.8 + 6105.36i 2.61229 + 1.50821i
\(255\) 1287.42 + 100.184i 0.316162 + 0.0246030i
\(256\) 1783.64 + 3089.36i 0.435460 + 0.754239i
\(257\) 2819.70 4883.86i 0.684389 1.18540i −0.289239 0.957257i \(-0.593402\pi\)
0.973628 0.228140i \(-0.0732643\pi\)
\(258\) 4373.55 + 3000.20i 1.05537 + 0.723971i
\(259\) 458.681 620.211i 0.110043 0.148796i
\(260\) 9170.80i 2.18750i
\(261\) 1109.30 7084.42i 0.263081 1.68013i
\(262\) 6311.33 3643.85i 1.48823 0.859228i
\(263\) 3018.63 1742.81i 0.707745 0.408617i −0.102480 0.994735i \(-0.532678\pi\)
0.810226 + 0.586118i \(0.199345\pi\)
\(264\) 850.809 + 1779.73i 0.198347 + 0.414905i
\(265\) 6117.79i 1.41816i
\(266\) −368.744 847.448i −0.0849968 0.195340i
\(267\) −1650.83 + 2406.50i −0.378387 + 0.551594i
\(268\) 2047.86 3547.00i 0.466766 0.808462i
\(269\) 1897.28 + 3286.18i 0.430033 + 0.744839i 0.996876 0.0789869i \(-0.0251685\pi\)
−0.566842 + 0.823826i \(0.691835\pi\)
\(270\) −7089.70 + 2120.41i −1.59802 + 0.477940i
\(271\) −6458.49 3728.81i −1.44769 0.835827i −0.449351 0.893356i \(-0.648345\pi\)
−0.998344 + 0.0575288i \(0.981678\pi\)
\(272\) −106.552 −0.0237524
\(273\) −1139.43 + 5897.72i −0.252605 + 1.30750i
\(274\) −10538.9 −2.32364
\(275\) 149.723 + 86.4428i 0.0328315 + 0.0189553i
\(276\) 352.677 4532.10i 0.0769155 0.988406i
\(277\) 1707.75 + 2957.90i 0.370428 + 0.641600i 0.989631 0.143631i \(-0.0458777\pi\)
−0.619203 + 0.785231i \(0.712544\pi\)
\(278\) 4185.45 7249.41i 0.902973 1.56399i
\(279\) 257.646 99.4210i 0.0552863 0.0213340i
\(280\) −3661.32 2707.76i −0.781450 0.577927i
\(281\) 2762.14i 0.586390i 0.956053 + 0.293195i \(0.0947185\pi\)
−0.956053 + 0.293195i \(0.905281\pi\)
\(282\) −3488.75 + 1667.81i −0.736709 + 0.352187i
\(283\) −4767.64 + 2752.60i −1.00144 + 0.578181i −0.908674 0.417507i \(-0.862904\pi\)
−0.0927647 + 0.995688i \(0.529570\pi\)
\(284\) −498.045 + 287.546i −0.104062 + 0.0600801i
\(285\) −597.208 + 285.498i −0.124125 + 0.0593383i
\(286\) 5083.19i 1.05096i
\(287\) −570.519 64.8515i −0.117340 0.0133382i
\(288\) 4839.76 1867.57i 0.990227 0.382110i
\(289\) 2227.17 3857.57i 0.453322 0.785176i
\(290\) −7004.16 12131.6i −1.41827 2.45652i
\(291\) −86.4172 + 1110.51i −0.0174085 + 0.223709i
\(292\) −6164.71 3559.20i −1.23549 0.713309i
\(293\) −4101.08 −0.817705 −0.408853 0.912600i \(-0.634071\pi\)
−0.408853 + 0.912600i \(0.634071\pi\)
\(294\) −5481.58 5965.29i −1.08739 1.18334i
\(295\) 4780.29 0.943455
\(296\) −764.339 441.291i −0.150089 0.0866538i
\(297\) 2408.15 720.235i 0.470488 0.140715i
\(298\) 2956.80 + 5121.33i 0.574774 + 0.995539i
\(299\) −2156.35 + 3734.91i −0.417074 + 0.722393i
\(300\) −359.140 + 523.537i −0.0691165 + 0.100755i
\(301\) 4132.12 + 469.702i 0.791267 + 0.0899441i
\(302\) 11893.3i 2.26616i
\(303\) 3849.55 + 8052.54i 0.729871 + 1.52675i
\(304\) 47.3019 27.3098i 0.00892418 0.00515238i
\(305\) 2597.03 1499.40i 0.487560 0.281493i
\(306\) 406.611 2596.77i 0.0759622 0.485122i
\(307\) 8281.42i 1.53956i −0.638308 0.769781i \(-0.720365\pi\)
0.638308 0.769781i \(-0.279635\pi\)
\(308\) 3377.86 + 2498.12i 0.624908 + 0.462155i
\(309\) −4960.63 3402.94i −0.913270 0.626493i
\(310\) 269.748 467.217i 0.0494215 0.0856005i
\(311\) 3435.52 + 5950.50i 0.626401 + 1.08496i 0.988268 + 0.152728i \(0.0488059\pi\)
−0.361868 + 0.932230i \(0.617861\pi\)
\(312\) 6851.88 + 533.197i 1.24330 + 0.0967511i
\(313\) −2922.40 1687.25i −0.527743 0.304693i 0.212354 0.977193i \(-0.431887\pi\)
−0.740097 + 0.672500i \(0.765220\pi\)
\(314\) −4250.80 −0.763970
\(315\) −4130.40 + 4075.36i −0.738800 + 0.728954i
\(316\) −3662.02 −0.651914
\(317\) −2052.28 1184.88i −0.363620 0.209936i 0.307048 0.951694i \(-0.400659\pi\)
−0.670667 + 0.741758i \(0.733992\pi\)
\(318\) 12415.0 + 966.103i 2.18930 + 0.170366i
\(319\) 2379.09 + 4120.71i 0.417566 + 0.723246i
\(320\) 4836.15 8376.46i 0.844840 1.46331i
\(321\) 5218.09 + 3579.55i 0.907306 + 0.622401i
\(322\) −2320.74 5333.53i −0.401646 0.923063i
\(323\) 235.116i 0.0405021i
\(324\) 1950.82 + 9021.86i 0.334503 + 1.54696i
\(325\) 521.629 301.163i 0.0890300 0.0514015i
\(326\) 2039.74 1177.65i 0.346536 0.200073i
\(327\) 2909.57 + 6086.26i 0.492047 + 1.02927i
\(328\) 656.957i 0.110593i
\(329\) −1802.94 + 2437.86i −0.302125 + 0.408521i
\(330\) 2777.67 4049.15i 0.463351 0.675450i
\(331\) −1901.80 + 3294.02i −0.315808 + 0.546996i −0.979609 0.200913i \(-0.935609\pi\)
0.663801 + 0.747910i \(0.268942\pi\)
\(332\) −2841.07 4920.88i −0.469651 0.813459i
\(333\) −706.189 + 875.212i −0.116213 + 0.144028i
\(334\) 14832.7 + 8563.68i 2.42997 + 1.40295i
\(335\) −3753.55 −0.612175
\(336\) 313.701 361.703i 0.0509338 0.0587278i
\(337\) −592.955 −0.0958466 −0.0479233 0.998851i \(-0.515260\pi\)
−0.0479233 + 0.998851i \(0.515260\pi\)
\(338\) −6688.41 3861.56i −1.07634 0.621423i
\(339\) 579.649 7448.81i 0.0928679 1.19340i
\(340\) −1573.30 2725.03i −0.250953 0.434664i
\(341\) −91.6249 + 158.699i −0.0145506 + 0.0252024i
\(342\) 485.058 + 1257.01i 0.0766927 + 0.198747i
\(343\) −5989.74 2115.80i −0.942903 0.333068i
\(344\) 4758.16i 0.745764i
\(345\) −3758.61 + 1796.82i −0.586542 + 0.280399i
\(346\) −9420.35 + 5438.84i −1.46370 + 0.845069i
\(347\) 4137.14 2388.58i 0.640039 0.369527i −0.144590 0.989492i \(-0.546186\pi\)
0.784630 + 0.619965i \(0.212853\pi\)
\(348\) −15764.5 + 7536.29i −2.42835 + 1.16088i
\(349\) 7358.26i 1.12859i 0.825573 + 0.564296i \(0.190852\pi\)
−0.825573 + 0.564296i \(0.809148\pi\)
\(350\) −91.7507 + 807.161i −0.0140122 + 0.123270i
\(351\) 2021.84 8520.47i 0.307459 1.29569i
\(352\) −1721.13 + 2981.08i −0.260615 + 0.451398i
\(353\) −1652.78 2862.69i −0.249202 0.431631i 0.714102 0.700041i \(-0.246835\pi\)
−0.963305 + 0.268410i \(0.913502\pi\)
\(354\) 754.889 9700.74i 0.113339 1.45647i
\(355\) 456.436 + 263.524i 0.0682398 + 0.0393982i
\(356\) 7111.16 1.05868
\(357\) −673.213 1947.94i −0.0998046 0.288784i
\(358\) −2909.78 −0.429572
\(359\) 359.154 + 207.358i 0.0528006 + 0.0304845i 0.526168 0.850381i \(-0.323628\pi\)
−0.473367 + 0.880865i \(0.656962\pi\)
\(360\) 5166.68 + 4168.89i 0.756411 + 0.610332i
\(361\) −3369.24 5835.69i −0.491214 0.850808i
\(362\) −9554.78 + 16549.4i −1.38726 + 2.40281i
\(363\) 2968.81 4327.79i 0.429263 0.625758i
\(364\) 13421.5 5839.99i 1.93263 0.840930i
\(365\) 6523.69i 0.935522i
\(366\) −2632.64 5507.00i −0.375985 0.786490i
\(367\) −65.9242 + 38.0613i −0.00937661 + 0.00541359i −0.504681 0.863306i \(-0.668390\pi\)
0.495304 + 0.868720i \(0.335057\pi\)
\(368\) 297.702 171.878i 0.0421706 0.0243472i
\(369\) 827.018 + 129.497i 0.116674 + 0.0182693i
\(370\) 2196.93i 0.308683i
\(371\) 8953.38 3895.82i 1.25293 0.545178i
\(372\) −554.921 380.669i −0.0773423 0.0530559i
\(373\) 6150.49 10653.0i 0.853781 1.47879i −0.0239900 0.999712i \(-0.507637\pi\)
0.877771 0.479080i \(-0.159030\pi\)
\(374\) 872.048 + 1510.43i 0.120568 + 0.208830i
\(375\) −6934.13 539.598i −0.954872 0.0743059i
\(376\) 3004.38 + 1734.58i 0.412072 + 0.237910i
\(377\) 16577.3 2.26465
\(378\) 7617.95 + 9025.49i 1.03657 + 1.22810i
\(379\) −1429.02 −0.193678 −0.0968389 0.995300i \(-0.530873\pi\)
−0.0968389 + 0.995300i \(0.530873\pi\)
\(380\) 1396.88 + 806.490i 0.188575 + 0.108874i
\(381\) −13916.5 1082.95i −1.87129 0.145620i
\(382\) 3311.54 + 5735.76i 0.443543 + 0.768239i
\(383\) −2555.45 + 4426.17i −0.340933 + 0.590513i −0.984606 0.174787i \(-0.944076\pi\)
0.643673 + 0.765300i \(0.277410\pi\)
\(384\) −9648.70 6618.89i −1.28225 0.879606i
\(385\) 434.863 3825.63i 0.0575654 0.506421i
\(386\) 8314.95i 1.09642i
\(387\) −5989.87 937.915i −0.786776 0.123196i
\(388\) 2350.57 1357.10i 0.307557 0.177568i
\(389\) −6339.84 + 3660.31i −0.826331 + 0.477083i −0.852595 0.522572i \(-0.824972\pi\)
0.0262636 + 0.999655i \(0.491639\pi\)
\(390\) −7378.43 15434.3i −0.958004 2.00396i
\(391\) 1479.73i 0.191390i
\(392\) −1631.26 + 7082.65i −0.210182 + 0.912572i
\(393\) −4712.61 + 6869.82i −0.604885 + 0.881772i
\(394\) 1502.67 2602.71i 0.192141 0.332798i
\(395\) 1678.04 + 2906.45i 0.213750 + 0.370227i
\(396\) −4766.68 3846.13i −0.604885 0.488069i
\(397\) 7516.61 + 4339.72i 0.950247 + 0.548625i 0.893158 0.449744i \(-0.148485\pi\)
0.0570893 + 0.998369i \(0.481818\pi\)
\(398\) −8859.79 −1.11583
\(399\) 798.129 + 692.207i 0.100141 + 0.0868514i
\(400\) −48.0100 −0.00600125
\(401\) −8447.68 4877.27i −1.05201 0.607379i −0.128800 0.991671i \(-0.541113\pi\)
−0.923212 + 0.384291i \(0.874446\pi\)
\(402\) −592.750 + 7617.17i −0.0735415 + 0.945049i
\(403\) 319.217 + 552.899i 0.0394573 + 0.0683421i
\(404\) 10874.4 18835.1i 1.33917 2.31950i
\(405\) 6266.49 5682.38i 0.768851 0.697185i
\(406\) −13294.3 + 17976.0i −1.62508 + 2.19737i
\(407\) 746.226i 0.0908822i
\(408\) −2127.45 + 1017.04i −0.258149 + 0.123409i
\(409\) 2935.32 1694.71i 0.354871 0.204885i −0.311958 0.950096i \(-0.600985\pi\)
0.666828 + 0.745211i \(0.267651\pi\)
\(410\) 1416.21 817.649i 0.170589 0.0984897i
\(411\) 10869.3 5196.10i 1.30448 0.623612i
\(412\) 14658.5i 1.75285i
\(413\) −3044.10 6995.95i −0.362689 0.833531i
\(414\) 3052.78 + 7911.18i 0.362406 + 0.939163i
\(415\) −2603.72 + 4509.77i −0.307979 + 0.533436i
\(416\) 5996.32 + 10385.9i 0.706716 + 1.22407i
\(417\) −742.400 + 9540.25i −0.0871834 + 1.12036i
\(418\) −774.264 447.021i −0.0905992 0.0523075i
\(419\) −12777.4 −1.48977 −0.744887 0.667191i \(-0.767496\pi\)
−0.744887 + 0.667191i \(0.767496\pi\)
\(420\) 13882.4 + 2682.05i 1.61284 + 0.311597i
\(421\) 11005.4 1.27404 0.637020 0.770848i \(-0.280167\pi\)
0.637020 + 0.770848i \(0.280167\pi\)
\(422\) 13155.7 + 7595.46i 1.51756 + 0.876164i
\(423\) 2775.81 3440.19i 0.319065 0.395432i
\(424\) −5585.82 9674.93i −0.639791 1.10815i
\(425\) −103.332 + 178.976i −0.0117937 + 0.0204273i
\(426\) 606.853 884.641i 0.0690191 0.100613i
\(427\) −3848.17 2845.94i −0.436126 0.322540i
\(428\) 15419.3i 1.74140i
\(429\) 2506.22 + 5242.54i 0.282055 + 0.590005i
\(430\) −10257.2 + 5922.01i −1.15034 + 0.664151i
\(431\) −3279.13 + 1893.21i −0.366474 + 0.211584i −0.671917 0.740627i \(-0.734529\pi\)
0.305443 + 0.952210i \(0.401195\pi\)
\(432\) −479.140 + 507.581i −0.0533625 + 0.0565301i
\(433\) 3191.67i 0.354230i −0.984190 0.177115i \(-0.943323\pi\)
0.984190 0.177115i \(-0.0566765\pi\)
\(434\) −855.548 97.2510i −0.0946259 0.0107562i
\(435\) 13205.1 + 9058.53i 1.45548 + 0.998444i
\(436\) 8219.10 14235.9i 0.902806 1.56371i
\(437\) 379.264 + 656.904i 0.0415163 + 0.0719084i
\(438\) 13238.7 + 1030.20i 1.44422 + 0.112386i
\(439\) −2872.90 1658.67i −0.312337 0.180328i 0.335635 0.941992i \(-0.391049\pi\)
−0.647972 + 0.761664i \(0.724383\pi\)
\(440\) −4405.24 −0.477299
\(441\) 8594.54 + 3449.65i 0.928035 + 0.372492i
\(442\) 6076.35 0.653897
\(443\) 9266.95 + 5350.27i 0.993873 + 0.573813i 0.906430 0.422356i \(-0.138797\pi\)
0.0874435 + 0.996169i \(0.472130\pi\)
\(444\) 2732.07 + 212.603i 0.292023 + 0.0227246i
\(445\) −3258.53 5643.94i −0.347122 0.601232i
\(446\) −4871.15 + 8437.07i −0.517165 + 0.895756i
\(447\) −5574.51 3824.05i −0.589855 0.404634i
\(448\) −15338.6 1743.55i −1.61759 0.183873i
\(449\) 4017.92i 0.422310i 0.977453 + 0.211155i \(0.0677225\pi\)
−0.977453 + 0.211155i \(0.932278\pi\)
\(450\) 183.211 1170.05i 0.0191925 0.122571i
\(451\) −481.042 + 277.729i −0.0502248 + 0.0289973i
\(452\) −15766.6 + 9102.86i −1.64071 + 0.947262i
\(453\) −5863.87 12266.1i −0.608186 1.27221i
\(454\) 11677.9i 1.20720i
\(455\) −10785.1 7976.22i −1.11124 0.821826i
\(456\) 683.777 996.777i 0.0702210 0.102365i
\(457\) −4584.83 + 7941.15i −0.469298 + 0.812848i −0.999384 0.0350961i \(-0.988826\pi\)
0.530086 + 0.847944i \(0.322160\pi\)
\(458\) 239.033 + 414.018i 0.0243871 + 0.0422397i
\(459\) 860.955 + 2878.65i 0.0875510 + 0.292732i
\(460\) 8791.47 + 5075.76i 0.891097 + 0.514475i
\(461\) 1289.80 0.130308 0.0651542 0.997875i \(-0.479246\pi\)
0.0651542 + 0.997875i \(0.479246\pi\)
\(462\) −7694.76 1486.61i −0.774876 0.149704i
\(463\) 6976.52 0.700273 0.350137 0.936699i \(-0.386135\pi\)
0.350137 + 0.936699i \(0.386135\pi\)
\(464\) −1144.31 660.670i −0.114490 0.0661009i
\(465\) −47.8470 + 614.860i −0.00477172 + 0.0613192i
\(466\) −5967.63 10336.2i −0.593230 1.02750i
\(467\) 3931.83 6810.13i 0.389600 0.674808i −0.602795 0.797896i \(-0.705946\pi\)
0.992396 + 0.123088i \(0.0392798\pi\)
\(468\) −19907.9 + 7682.11i −1.96633 + 0.758772i
\(469\) 2390.27 + 5493.32i 0.235336 + 0.540849i
\(470\) 8635.44i 0.847496i
\(471\) 4384.05 2095.82i 0.428889 0.205032i
\(472\) −7559.75 + 4364.63i −0.737216 + 0.425632i
\(473\) 3484.06 2011.52i 0.338683 0.195539i
\(474\) 6163.12 2946.31i 0.597218 0.285503i
\(475\) 105.938i 0.0102332i
\(476\) −2986.20 + 4037.83i −0.287547 + 0.388810i
\(477\) −13280.5 + 5124.69i −1.27478 + 0.491915i
\(478\) 13820.3 23937.5i 1.32244 2.29053i
\(479\) −1847.13 3199.33i −0.176196 0.305180i 0.764379 0.644767i \(-0.223046\pi\)
−0.940574 + 0.339588i \(0.889712\pi\)
\(480\) −898.781 + 11549.8i −0.0854657 + 1.09828i
\(481\) −2251.51 1299.91i −0.213430 0.123224i
\(482\) 21040.7 1.98833
\(483\) 5023.14 + 4356.51i 0.473211 + 0.410410i
\(484\) −12788.5 −1.20103
\(485\) −2154.19 1243.72i −0.201684 0.116442i
\(486\) −10541.8 13614.1i −0.983921 1.27067i
\(487\) 526.359 + 911.681i 0.0489766 + 0.0848300i 0.889474 0.456985i \(-0.151071\pi\)
−0.840498 + 0.541815i \(0.817737\pi\)
\(488\) −2738.04 + 4742.42i −0.253986 + 0.439917i
\(489\) −1523.06 + 2220.24i −0.140849 + 0.205322i
\(490\) 17298.4 5298.55i 1.59482 0.488498i
\(491\) 2378.40i 0.218607i −0.994008 0.109303i \(-0.965138\pi\)
0.994008 0.109303i \(-0.0348620\pi\)
\(492\) −879.767 1840.31i −0.0806158 0.168633i
\(493\) −4925.81 + 2843.92i −0.449995 + 0.259805i
\(494\) −2697.50 + 1557.40i −0.245680 + 0.141844i
\(495\) −868.348 + 5545.59i −0.0788471 + 0.503547i
\(496\) 50.8881i 0.00460674i
\(497\) 95.0069 835.807i 0.00857474 0.0754347i
\(498\) 8740.60 + 5995.95i 0.786497 + 0.539528i
\(499\) −9385.74 + 16256.6i −0.842011 + 1.45840i 0.0461818 + 0.998933i \(0.485295\pi\)
−0.888192 + 0.459472i \(0.848039\pi\)
\(500\) 8473.89 + 14677.2i 0.757928 + 1.31277i
\(501\) −19519.9 1519.00i −1.74069 0.135457i
\(502\) −23492.6 13563.5i −2.08870 1.20591i
\(503\) 16095.2 1.42674 0.713370 0.700788i \(-0.247168\pi\)
0.713370 + 0.700788i \(0.247168\pi\)
\(504\) 2811.01 10216.2i 0.248437 0.902908i
\(505\) −19931.9 −1.75635
\(506\) −4872.94 2813.39i −0.428120 0.247175i
\(507\) 8801.98 + 684.950i 0.771025 + 0.0599994i
\(508\) 17006.7 + 29456.5i 1.48533 + 2.57267i
\(509\) −1575.31 + 2728.52i −0.137180 + 0.237603i −0.926428 0.376472i \(-0.877137\pi\)
0.789248 + 0.614074i \(0.210471\pi\)
\(510\) 4840.28 + 3320.37i 0.420257 + 0.288291i
\(511\) 9547.42 4154.30i 0.826522 0.359639i
\(512\) 1799.30i 0.155310i
\(513\) −1120.02 1057.26i −0.0963940 0.0909928i
\(514\) 22199.7 12817.0i 1.90503 1.09987i
\(515\) 11634.1 6716.95i 0.995456 0.574727i
\(516\) 6371.92 + 13328.9i 0.543621 + 1.13715i
\(517\) 2933.19i 0.249519i
\(518\) 3215.20 1399.01i 0.272718 0.118666i
\(519\) 7034.08 10253.9i 0.594917 0.867241i
\(520\) −7673.82 + 13291.4i −0.647152 + 1.12090i
\(521\) 2489.60 + 4312.12i 0.209350 + 0.362605i 0.951510 0.307618i \(-0.0995318\pi\)
−0.742160 + 0.670223i \(0.766198\pi\)
\(522\) 20468.0 25366.9i 1.71620 2.12697i
\(523\) 11977.0 + 6914.92i 1.00137 + 0.578142i 0.908654 0.417550i \(-0.137111\pi\)
0.0927181 + 0.995692i \(0.470444\pi\)
\(524\) 20300.1 1.69240
\(525\) −303.336 877.700i −0.0252165 0.0729638i
\(526\) 15843.9 1.31336
\(527\) −189.705 109.526i −0.0156806 0.00905322i
\(528\) 35.9338 461.770i 0.00296178 0.0380605i
\(529\) −3696.55 6402.61i −0.303818 0.526228i
\(530\) −13904.2 + 24082.9i −1.13955 + 1.97376i
\(531\) 4004.31 + 10377.0i 0.327254 + 0.848069i
\(532\) 290.760 2557.91i 0.0236956 0.208458i
\(533\) 1935.19i 0.157265i
\(534\) −11967.9 + 5721.33i −0.969857 + 0.463644i
\(535\) −12237.9 + 7065.56i −0.988955 + 0.570973i
\(536\) 5936.03 3427.17i 0.478353 0.276177i
\(537\) 3001.00 1434.64i 0.241159 0.115287i
\(538\) 17248.2i 1.38220i
\(539\) −5875.73 + 1799.75i −0.469547 + 0.143823i
\(540\) −20056.0 4759.15i −1.59828 0.379261i
\(541\) −2658.97 + 4605.48i −0.211309 + 0.365998i −0.952124 0.305711i \(-0.901106\pi\)
0.740815 + 0.671709i \(0.234439\pi\)
\(542\) −16949.3 29357.1i −1.34324 2.32656i
\(543\) 1694.79 21779.0i 0.133942 1.72123i
\(544\) −3563.52 2057.40i −0.280854 0.162151i
\(545\) −15064.9 −1.18405
\(546\) −17889.5 + 20626.9i −1.40220 + 1.61676i
\(547\) −9266.96 −0.724363 −0.362181 0.932108i \(-0.617968\pi\)
−0.362181 + 0.932108i \(0.617968\pi\)
\(548\) −25423.4 14678.2i −1.98181 1.14420i
\(549\) 5430.34 + 4381.63i 0.422152 + 0.340625i
\(550\) 392.927 + 680.569i 0.0304627 + 0.0527629i
\(551\) 1457.82 2525.03i 0.112714 0.195226i
\(552\) 4303.45 6273.36i 0.331824 0.483717i
\(553\) 3185.01 4306.65i 0.244920 0.331171i
\(554\) 15525.2i 1.19062i
\(555\) −1083.17 2265.79i −0.0828435 0.173293i
\(556\) 20193.5 11658.7i 1.54028 0.889279i
\(557\) 125.920 72.6999i 0.00957881 0.00553033i −0.495203 0.868777i \(-0.664906\pi\)
0.504782 + 0.863247i \(0.331573\pi\)
\(558\) 1240.19 + 194.194i 0.0940888 + 0.0147328i
\(559\) 14016.1i 1.06050i
\(560\) 426.603 + 980.420i 0.0321916 + 0.0739827i
\(561\) −1644.09 1127.83i −0.123732 0.0848785i
\(562\) −6277.68 + 10873.3i −0.471188 + 0.816122i
\(563\) −1958.12 3391.56i −0.146581 0.253885i 0.783381 0.621542i \(-0.213493\pi\)
−0.929962 + 0.367657i \(0.880160\pi\)
\(564\) −10738.9 835.679i −0.801757 0.0623909i
\(565\) 14449.4 + 8342.36i 1.07591 + 0.621178i
\(566\) −25024.0 −1.85837
\(567\) −12306.7 5552.46i −0.911521 0.411254i
\(568\) −962.437 −0.0710968
\(569\) 7404.97 + 4275.26i 0.545576 + 0.314988i 0.747336 0.664447i \(-0.231333\pi\)
−0.201760 + 0.979435i \(0.564666\pi\)
\(570\) −2999.79 233.437i −0.220434 0.0171537i
\(571\) 11956.8 + 20709.8i 0.876318 + 1.51783i 0.855352 + 0.518047i \(0.173341\pi\)
0.0209659 + 0.999780i \(0.493326\pi\)
\(572\) 7079.71 12262.4i 0.517513 0.896359i
\(573\) −6243.32 4282.84i −0.455180 0.312248i
\(574\) −2098.47 1551.94i −0.152593 0.112852i
\(575\) 666.737i 0.0483563i
\(576\) 22234.7 + 3481.58i 1.60841 + 0.251851i
\(577\) 11347.8 6551.66i 0.818745 0.472703i −0.0312386 0.999512i \(-0.509945\pi\)
0.849983 + 0.526809i \(0.176612\pi\)
\(578\) 17534.6 10123.6i 1.26184 0.728525i
\(579\) 4099.61 + 8575.60i 0.294255 + 0.615527i
\(580\) 39020.7i 2.79353i
\(581\) 8258.10 + 938.706i 0.589679 + 0.0670294i
\(582\) −2864.10 + 4175.15i −0.203988 + 0.297363i
\(583\) 4722.83 8180.18i 0.335506 0.581113i
\(584\) −5956.43 10316.8i −0.422053 0.731017i
\(585\) 15219.5 + 12280.3i 1.07564 + 0.867908i
\(586\) −16144.0 9320.76i −1.13806 0.657059i
\(587\) −18034.7 −1.26809 −0.634047 0.773294i \(-0.718608\pi\)
−0.634047 + 0.773294i \(0.718608\pi\)
\(588\) −4915.19 22024.9i −0.344726 1.54471i
\(589\) 112.289 0.00785532
\(590\) 18817.7 + 10864.4i 1.31308 + 0.758104i
\(591\) −266.539 + 3425.18i −0.0185515 + 0.238398i
\(592\) 103.613 + 179.463i 0.00719335 + 0.0124592i
\(593\) −11358.1 + 19672.8i −0.786547 + 1.36234i 0.141524 + 0.989935i \(0.454800\pi\)
−0.928071 + 0.372404i \(0.878534\pi\)
\(594\) 11116.7 + 2637.90i 0.767882 + 0.182213i
\(595\) 4573.08 + 519.826i 0.315089 + 0.0358165i
\(596\) 16472.5i 1.13212i
\(597\) 9137.52 4368.23i 0.626422 0.299464i
\(598\) −16977.1 + 9801.73i −1.16094 + 0.670272i
\(599\) −11720.4 + 6766.78i −0.799471 + 0.461575i −0.843286 0.537465i \(-0.819382\pi\)
0.0438153 + 0.999040i \(0.486049\pi\)
\(600\) −958.587 + 458.257i −0.0652236 + 0.0311804i
\(601\) 3667.98i 0.248952i 0.992223 + 0.124476i \(0.0397250\pi\)
−0.992223 + 0.124476i \(0.960275\pi\)
\(602\) 15198.7 + 11240.3i 1.02899 + 0.760997i
\(603\) −3144.24 8148.20i −0.212344 0.550282i
\(604\) −16564.6 + 28690.7i −1.11590 + 1.93279i
\(605\) 5860.05 + 10149.9i 0.393794 + 0.682070i
\(606\) −3147.58 + 40448.1i −0.210993 + 2.71138i
\(607\) −6942.92 4008.50i −0.464258 0.268039i 0.249575 0.968355i \(-0.419709\pi\)
−0.713833 + 0.700316i \(0.753042\pi\)
\(608\) 2109.29 0.140696
\(609\) 4848.12 25094.1i 0.322588 1.66973i
\(610\) 13631.1 0.904763
\(611\) 8849.99 + 5109.54i 0.585977 + 0.338314i
\(612\) 4597.58 5697.99i 0.303670 0.376352i
\(613\) −4698.26 8137.63i −0.309561 0.536176i 0.668705 0.743528i \(-0.266849\pi\)
−0.978266 + 0.207352i \(0.933515\pi\)
\(614\) 18821.7 32600.1i 1.23710 2.14272i
\(615\) −1057.47 + 1541.53i −0.0693355 + 0.101074i
\(616\) 2805.27 + 6447.06i 0.183486 + 0.421688i
\(617\) 8906.76i 0.581155i −0.956851 0.290578i \(-0.906153\pi\)
0.956851 0.290578i \(-0.0938474\pi\)
\(618\) −11793.6 24670.1i −0.767653 1.60579i
\(619\) −6091.73 + 3517.06i −0.395553 + 0.228373i −0.684563 0.728953i \(-0.740007\pi\)
0.289010 + 0.957326i \(0.406674\pi\)
\(620\) 1301.45 751.392i 0.0843024 0.0486720i
\(621\) −7049.01 6654.03i −0.455502 0.429979i
\(622\) 31232.4i 2.01335i
\(623\) −6184.86 + 8362.93i −0.397739 + 0.537807i
\(624\) −1330.65 912.811i −0.0853665 0.0585604i
\(625\) 8369.05 14495.6i 0.535619 0.927720i
\(626\) −7669.40 13283.8i −0.489666 0.848127i
\(627\) 1018.93 + 79.2911i 0.0649000 + 0.00505037i
\(628\) −10254.4 5920.38i −0.651584 0.376192i
\(629\) 892.024 0.0565458
\(630\) −25521.8 + 6655.37i −1.61399 + 0.420883i
\(631\) −12628.6 −0.796728 −0.398364 0.917227i \(-0.630422\pi\)
−0.398364 + 0.917227i \(0.630422\pi\)
\(632\) −5307.45 3064.26i −0.334049 0.192863i
\(633\) −17313.0 1347.26i −1.08709 0.0845950i
\(634\) −5385.90 9328.65i −0.337384 0.584366i
\(635\) 15585.9 26995.5i 0.974026 1.68706i
\(636\) 28603.6 + 19621.7i 1.78334 + 1.22335i
\(637\) −4805.19 + 20863.3i −0.298883 + 1.29770i
\(638\) 21628.4i 1.34213i
\(639\) −189.713 + 1211.58i −0.0117448 + 0.0750066i
\(640\) 22629.0 13064.8i 1.39764 0.806926i
\(641\) 8593.58 4961.51i 0.529526 0.305722i −0.211297 0.977422i \(-0.567769\pi\)
0.740823 + 0.671700i \(0.234436\pi\)
\(642\) 12405.7 + 25950.4i 0.762640 + 1.59530i
\(643\) 294.191i 0.0180432i −0.999959 0.00902160i \(-0.997128\pi\)
0.999959 0.00902160i \(-0.00287170\pi\)
\(644\) 1829.94 16098.6i 0.111972 0.985051i
\(645\) 7658.97 11164.9i 0.467553 0.681576i
\(646\) 534.360 925.539i 0.0325451 0.0563697i
\(647\) 3859.39 + 6684.67i 0.234511 + 0.406184i 0.959130 0.282965i \(-0.0913179\pi\)
−0.724620 + 0.689149i \(0.757985\pi\)
\(648\) −4721.82 + 14708.0i −0.286251 + 0.891641i
\(649\) −6391.80 3690.30i −0.386595 0.223201i
\(650\) 2737.88 0.165213
\(651\) 930.316 321.520i 0.0560092 0.0193569i
\(652\) 6560.75 0.394078
\(653\) 9846.89 + 5685.11i 0.590105 + 0.340697i 0.765139 0.643865i \(-0.222670\pi\)
−0.175034 + 0.984562i \(0.556004\pi\)
\(654\) −2379.00 + 30571.5i −0.142242 + 1.82789i
\(655\) −9302.09 16111.7i −0.554905 0.961123i
\(656\) 77.1249 133.584i 0.00459028 0.00795060i
\(657\) −14161.6 + 5464.70i −0.840938 + 0.324503i
\(658\) −12638.0 + 5499.07i −0.748753 + 0.325800i
\(659\) 19795.1i 1.17012i 0.810990 + 0.585060i \(0.198929\pi\)
−0.810990 + 0.585060i \(0.801071\pi\)
\(660\) 12340.2 5899.30i 0.727792 0.347924i
\(661\) 26896.6 15528.7i 1.58268 0.913763i 0.588219 0.808702i \(-0.299829\pi\)
0.994466 0.105062i \(-0.0335041\pi\)
\(662\) −14973.0 + 8644.67i −0.879068 + 0.507530i
\(663\) −6266.83 + 2995.88i −0.367094 + 0.175491i
\(664\) 9509.25i 0.555769i
\(665\) −2163.38 + 941.337i −0.126154 + 0.0548924i
\(666\) −4769.08 + 1840.30i −0.277474 + 0.107072i
\(667\) 9175.03 15891.6i 0.532621 0.922527i
\(668\) 23854.4 + 41317.1i 1.38167 + 2.39312i
\(669\) 864.027 11103.2i 0.0499331 0.641668i
\(670\) −14776.0 8530.91i −0.852008 0.491907i
\(671\) −4630.04 −0.266380
\(672\) 17475.5 6039.59i 1.00317 0.346700i
\(673\) 5340.26 0.305872 0.152936 0.988236i \(-0.451127\pi\)
0.152936 + 0.988236i \(0.451127\pi\)
\(674\) −2334.18 1347.64i −0.133397 0.0770166i
\(675\) 387.928 + 1297.06i 0.0221205 + 0.0739612i
\(676\) −10756.5 18630.8i −0.611999 1.06001i
\(677\) 12478.3 21613.0i 0.708389 1.22697i −0.257066 0.966394i \(-0.582756\pi\)
0.965455 0.260571i \(-0.0839110\pi\)
\(678\) 19211.1 28005.1i 1.08820 1.58632i
\(679\) −448.394 + 3944.67i −0.0253428 + 0.222949i
\(680\) 5265.93i 0.296970i
\(681\) 5757.68 + 12044.0i 0.323986 + 0.677718i
\(682\) −721.368 + 416.482i −0.0405023 + 0.0233840i
\(683\) −9706.83 + 5604.24i −0.543809 + 0.313968i −0.746621 0.665249i \(-0.768325\pi\)
0.202812 + 0.979218i \(0.434992\pi\)
\(684\) −580.599 + 3707.92i −0.0324558 + 0.207274i
\(685\) 26903.9i 1.50065i
\(686\) −18770.1 21942.1i −1.04467 1.22122i
\(687\) −450.654 309.143i −0.0250269 0.0171682i
\(688\) −558.595 + 967.516i −0.0309538 + 0.0536136i
\(689\) −16454.1 28499.4i −0.909800 1.57582i
\(690\) −18879.6 1469.17i −1.04164 0.0810584i
\(691\) −9472.37 5468.88i −0.521485 0.301079i 0.216057 0.976381i \(-0.430680\pi\)
−0.737542 + 0.675301i \(0.764014\pi\)
\(692\) −30300.2 −1.66451
\(693\) 8668.93 2260.62i 0.475188 0.123916i
\(694\) 21714.7 1.18772
\(695\) −18506.4 10684.7i −1.01006 0.583156i
\(696\) −29153.9 2268.69i −1.58775 0.123555i
\(697\) −331.992 575.027i −0.0180418 0.0312492i
\(698\) −16723.5 + 28966.0i −0.906870 + 1.57074i
\(699\) 11250.9 + 7717.97i 0.608795 + 0.417626i
\(700\) −1345.52 + 1819.36i −0.0726513 + 0.0982363i
\(701\) 27949.3i 1.50589i −0.658082 0.752947i \(-0.728632\pi\)
0.658082 0.752947i \(-0.271368\pi\)
\(702\) 27324.0 28945.9i 1.46906 1.55626i
\(703\) −396.000 + 228.631i −0.0212453 + 0.0122660i
\(704\) −12933.0 + 7466.86i −0.692372 + 0.399741i
\(705\) 4257.62 + 8906.14i 0.227449 + 0.475780i
\(706\) 15025.4i 0.800977i
\(707\) 12692.7 + 29170.3i 0.675186 + 1.55171i
\(708\) 15331.9 22350.1i 0.813855 1.18640i
\(709\) −10472.7 + 18139.3i −0.554741 + 0.960840i 0.443183 + 0.896431i \(0.353849\pi\)
−0.997924 + 0.0644082i \(0.979484\pi\)
\(710\) 1197.85 + 2074.74i 0.0633162 + 0.109667i
\(711\) −4903.67 + 6077.33i −0.258653 + 0.320560i
\(712\) 10306.4 + 5950.38i 0.542482 + 0.313202i
\(713\) 706.707 0.0371197
\(714\) 1777.06 9198.16i 0.0931441 0.482118i
\(715\) −12976.5 −0.678731
\(716\) −7019.40 4052.65i −0.366379 0.211529i
\(717\) −2451.40 + 31501.8i −0.127684 + 1.64080i
\(718\) 942.547 + 1632.54i 0.0489910 + 0.0848549i
\(719\) −4150.10 + 7188.19i −0.215261 + 0.372843i −0.953353 0.301857i \(-0.902394\pi\)
0.738092 + 0.674700i \(0.235727\pi\)
\(720\) −561.167 1454.25i −0.0290465 0.0752731i
\(721\) −17238.9 12749.1i −0.890443 0.658533i
\(722\) 30629.8i 1.57884i
\(723\) −21700.3 + 10373.9i −1.11624 + 0.533623i
\(724\) −46098.8 + 26615.2i −2.36637 + 1.36622i
\(725\) −2219.47 + 1281.41i −0.113695 + 0.0656420i
\(726\) 21522.8 10289.1i 1.10026 0.525983i
\(727\) 20951.5i 1.06884i −0.845218 0.534421i \(-0.820530\pi\)
0.845218 0.534421i \(-0.179470\pi\)
\(728\) 24338.7 + 2766.61i 1.23908 + 0.140848i
\(729\) 17584.5 + 8843.31i 0.893388 + 0.449287i
\(730\) −14826.8 + 25680.7i −0.751730 + 1.30203i
\(731\) 2404.53 + 4164.77i 0.121662 + 0.210724i
\(732\) 1319.12 16951.4i 0.0666067 0.855933i
\(733\) 4885.73 + 2820.78i 0.246192 + 0.142139i 0.618019 0.786163i \(-0.287935\pi\)
−0.371827 + 0.928302i \(0.621269\pi\)
\(734\) −346.017 −0.0174001
\(735\) −15228.3 + 13993.5i −0.764223 + 0.702254i
\(736\) 13275.1 0.664847
\(737\) 5018.93 + 2897.68i 0.250848 + 0.144827i
\(738\) 2961.26 + 2389.38i 0.147704 + 0.119179i
\(739\) 5691.08 + 9857.24i 0.283288 + 0.490669i 0.972193 0.234183i \(-0.0752415\pi\)
−0.688905 + 0.724852i \(0.741908\pi\)
\(740\) −3059.81 + 5299.74i −0.152001 + 0.263273i
\(741\) 2014.20 2936.20i 0.0998560 0.145565i
\(742\) 44099.5 + 5012.83i 2.18186 + 0.248015i
\(743\) 4665.46i 0.230362i 0.993345 + 0.115181i \(0.0367449\pi\)
−0.993345 + 0.115181i \(0.963255\pi\)
\(744\) −485.728 1016.05i −0.0239350 0.0500676i
\(745\) 13073.8 7548.17i 0.642936 0.371200i
\(746\) 48423.2 27957.1i 2.37654 1.37210i
\(747\) −11970.8 1874.44i −0.586332 0.0918100i
\(748\) 4858.24i 0.237480i
\(749\) 18133.6 + 13410.8i 0.884628 + 0.654233i
\(750\) −26070.0 17883.7i −1.26926 0.870696i
\(751\) 4780.43 8279.95i 0.232277 0.402316i −0.726200 0.687483i \(-0.758716\pi\)
0.958478 + 0.285167i \(0.0920489\pi\)
\(752\) −407.270 705.413i −0.0197495 0.0342071i
\(753\) 30916.4 + 2405.84i 1.49622 + 0.116433i
\(754\) 65257.0 + 37676.1i 3.15188 + 1.81974i
\(755\) 30361.4 1.46353
\(756\) 5806.71 + 32382.6i 0.279349 + 1.55786i
\(757\) 31574.1 1.51596 0.757979 0.652279i \(-0.226187\pi\)
0.757979 + 0.652279i \(0.226187\pi\)
\(758\) −5625.38 3247.82i −0.269556 0.155628i
\(759\) 6412.81 + 499.030i 0.306680 + 0.0238651i
\(760\) 1349.69 + 2337.73i 0.0644188 + 0.111577i
\(761\) −11215.0 + 19424.9i −0.534221 + 0.925298i 0.464980 + 0.885321i \(0.346062\pi\)
−0.999201 + 0.0399765i \(0.987272\pi\)
\(762\) −52321.3 35891.8i −2.48740 1.70633i
\(763\) 9593.35 + 22047.4i 0.455180 + 1.04610i
\(764\) 18448.8i 0.873633i
\(765\) −6629.08 1038.01i −0.313301 0.0490577i
\(766\) −20119.2 + 11615.8i −0.949003 + 0.547907i
\(767\) −22268.7 + 12856.8i −1.04834 + 0.605259i
\(768\) −7994.73 16723.5i −0.375631 0.785750i
\(769\) 26887.4i 1.26084i −0.776254 0.630420i \(-0.782883\pi\)
0.776254 0.630420i \(-0.217117\pi\)
\(770\) 10406.6 14071.4i 0.487048 0.658567i