Properties

Label 63.4.s.a.47.15
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.15
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.57448 - 0.909026i) q^{2} +(0.874715 + 5.12200i) q^{3} +(-2.34735 + 4.06572i) q^{4} -10.3247 q^{5} +(6.03325 + 7.26934i) q^{6} +(15.1453 + 10.6593i) q^{7} +23.0796i q^{8} +(-25.4697 + 8.96058i) q^{9} +O(q^{10})\) \(q+(1.57448 - 0.909026i) q^{2} +(0.874715 + 5.12200i) q^{3} +(-2.34735 + 4.06572i) q^{4} -10.3247 q^{5} +(6.03325 + 7.26934i) q^{6} +(15.1453 + 10.6593i) q^{7} +23.0796i q^{8} +(-25.4697 + 8.96058i) q^{9} +(-16.2560 + 9.38543i) q^{10} -11.7504i q^{11} +(-22.8779 - 8.46675i) q^{12} +(46.7419 - 26.9865i) q^{13} +(33.5355 + 3.01536i) q^{14} +(-9.03118 - 52.8832i) q^{15} +(2.20118 + 3.81256i) q^{16} +(31.9804 + 55.3917i) q^{17} +(-31.9562 + 37.2609i) q^{18} +(87.6701 + 50.6164i) q^{19} +(24.2357 - 41.9774i) q^{20} +(-41.3490 + 86.8980i) q^{21} +(-10.6814 - 18.5008i) q^{22} -194.655i q^{23} +(-118.214 + 20.1881i) q^{24} -18.4003 q^{25} +(49.0628 - 84.9792i) q^{26} +(-68.1749 - 122.618i) q^{27} +(-78.8889 + 36.5555i) q^{28} +(13.4708 + 7.77735i) q^{29} +(-62.2915 - 75.0538i) q^{30} +(173.244 + 100.023i) q^{31} +(-152.969 - 88.3165i) q^{32} +(60.1855 - 10.2783i) q^{33} +(100.705 + 58.1420i) q^{34} +(-156.371 - 110.054i) q^{35} +(23.3551 - 124.586i) q^{36} +(-152.809 + 264.674i) q^{37} +184.046 q^{38} +(179.110 + 215.807i) q^{39} -238.290i q^{40} +(-35.3661 - 61.2559i) q^{41} +(13.8893 + 174.406i) q^{42} +(52.4919 - 90.9186i) q^{43} +(47.7738 + 27.5822i) q^{44} +(262.968 - 92.5154i) q^{45} +(-176.946 - 306.480i) q^{46} +(-3.63684 - 6.29920i) q^{47} +(-17.6025 + 14.6094i) q^{48} +(115.759 + 322.876i) q^{49} +(-28.9709 + 16.7264i) q^{50} +(-255.742 + 212.255i) q^{51} +253.386i q^{52} +(460.939 - 266.123i) q^{53} +(-218.803 - 131.087i) q^{54} +121.319i q^{55} +(-246.012 + 349.547i) q^{56} +(-182.571 + 493.321i) q^{57} +28.2792 q^{58} +(-87.4084 + 151.396i) q^{59} +(236.207 + 87.4168i) q^{60} +(261.165 - 150.784i) q^{61} +363.692 q^{62} +(-481.260 - 135.779i) q^{63} -356.347 q^{64} +(-482.597 + 278.627i) q^{65} +(85.4176 - 70.8931i) q^{66} +(-149.252 + 258.512i) q^{67} -300.276 q^{68} +(997.022 - 170.268i) q^{69} +(-346.244 - 31.1327i) q^{70} +709.248i q^{71} +(-206.807 - 587.831i) q^{72} +(732.758 - 423.058i) q^{73} +555.631i q^{74} +(-16.0950 - 94.2465i) q^{75} +(-411.584 + 237.628i) q^{76} +(125.251 - 177.963i) q^{77} +(478.179 + 176.967i) q^{78} +(-568.486 - 984.646i) q^{79} +(-22.7266 - 39.3636i) q^{80} +(568.416 - 456.447i) q^{81} +(-111.366 - 64.2974i) q^{82} +(-164.325 + 284.620i) q^{83} +(-256.243 - 372.093i) q^{84} +(-330.188 - 571.903i) q^{85} -190.866i q^{86} +(-28.0525 + 75.8002i) q^{87} +271.194 q^{88} +(506.312 - 876.958i) q^{89} +(329.938 - 384.708i) q^{90} +(995.576 + 89.5176i) q^{91} +(791.413 + 456.922i) q^{92} +(-360.776 + 974.847i) q^{93} +(-11.4523 - 6.61197i) q^{94} +(-905.168 - 522.599i) q^{95} +(318.553 - 860.757i) q^{96} +(-1202.67 - 694.363i) q^{97} +(475.763 + 403.133i) q^{98} +(105.290 + 299.280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.57448 0.909026i 0.556662 0.321389i −0.195143 0.980775i \(-0.562517\pi\)
0.751805 + 0.659386i \(0.229184\pi\)
\(3\) 0.874715 + 5.12200i 0.168339 + 0.985729i
\(4\) −2.34735 + 4.06572i −0.293418 + 0.508215i
\(5\) −10.3247 −0.923470 −0.461735 0.887018i \(-0.652773\pi\)
−0.461735 + 0.887018i \(0.652773\pi\)
\(6\) 6.03325 + 7.26934i 0.410511 + 0.494616i
\(7\) 15.1453 + 10.6593i 0.817769 + 0.575547i
\(8\) 23.0796i 1.01998i
\(9\) −25.4697 + 8.96058i −0.943324 + 0.331873i
\(10\) −16.2560 + 9.38543i −0.514061 + 0.296793i
\(11\) 11.7504i 0.322080i −0.986948 0.161040i \(-0.948515\pi\)
0.986948 0.161040i \(-0.0514848\pi\)
\(12\) −22.8779 8.46675i −0.550356 0.203678i
\(13\) 46.7419 26.9865i 0.997221 0.575746i 0.0897962 0.995960i \(-0.471378\pi\)
0.907425 + 0.420214i \(0.138045\pi\)
\(14\) 33.5355 + 3.01536i 0.640195 + 0.0575634i
\(15\) −9.03118 52.8832i −0.155456 0.910292i
\(16\) 2.20118 + 3.81256i 0.0343935 + 0.0595712i
\(17\) 31.9804 + 55.3917i 0.456258 + 0.790262i 0.998760 0.0497928i \(-0.0158561\pi\)
−0.542502 + 0.840055i \(0.682523\pi\)
\(18\) −31.9562 + 37.2609i −0.418452 + 0.487915i
\(19\) 87.6701 + 50.6164i 1.05857 + 0.611168i 0.925037 0.379876i \(-0.124033\pi\)
0.133536 + 0.991044i \(0.457367\pi\)
\(20\) 24.2357 41.9774i 0.270963 0.469322i
\(21\) −41.3490 + 86.8980i −0.429671 + 0.902985i
\(22\) −10.6814 18.5008i −0.103513 0.179290i
\(23\) 194.655i 1.76471i −0.470583 0.882356i \(-0.655956\pi\)
0.470583 0.882356i \(-0.344044\pi\)
\(24\) −118.214 + 20.1881i −1.00543 + 0.171703i
\(25\) −18.4003 −0.147203
\(26\) 49.0628 84.9792i 0.370077 0.640992i
\(27\) −68.1749 122.618i −0.485935 0.873995i
\(28\) −78.8889 + 36.5555i −0.532450 + 0.246726i
\(29\) 13.4708 + 7.77735i 0.0862572 + 0.0498006i 0.542508 0.840051i \(-0.317475\pi\)
−0.456251 + 0.889851i \(0.650808\pi\)
\(30\) −62.2915 75.0538i −0.379094 0.456763i
\(31\) 173.244 + 100.023i 1.00373 + 0.579502i 0.909349 0.416034i \(-0.136580\pi\)
0.0943785 + 0.995536i \(0.469914\pi\)
\(32\) −152.969 88.3165i −0.845041 0.487884i
\(33\) 60.1855 10.2783i 0.317484 0.0542186i
\(34\) 100.705 + 58.1420i 0.507963 + 0.293273i
\(35\) −156.371 110.054i −0.755185 0.531501i
\(36\) 23.3551 124.586i 0.108125 0.576789i
\(37\) −152.809 + 264.674i −0.678965 + 1.17600i 0.296327 + 0.955086i \(0.404238\pi\)
−0.975293 + 0.220916i \(0.929095\pi\)
\(38\) 184.046 0.785691
\(39\) 179.110 + 215.807i 0.735401 + 0.886069i
\(40\) 238.290i 0.941925i
\(41\) −35.3661 61.2559i −0.134714 0.233331i 0.790774 0.612108i \(-0.209678\pi\)
−0.925488 + 0.378777i \(0.876345\pi\)
\(42\) 13.8893 + 174.406i 0.0510279 + 0.640749i
\(43\) 52.4919 90.9186i 0.186161 0.322441i −0.757806 0.652480i \(-0.773729\pi\)
0.943967 + 0.330039i \(0.107062\pi\)
\(44\) 47.7738 + 27.5822i 0.163686 + 0.0945041i
\(45\) 262.968 92.5154i 0.871132 0.306475i
\(46\) −176.946 306.480i −0.567159 0.982348i
\(47\) −3.63684 6.29920i −0.0112870 0.0195496i 0.860327 0.509743i \(-0.170260\pi\)
−0.871614 + 0.490193i \(0.836926\pi\)
\(48\) −17.6025 + 14.6094i −0.0529313 + 0.0439308i
\(49\) 115.759 + 322.876i 0.337491 + 0.941329i
\(50\) −28.9709 + 16.7264i −0.0819421 + 0.0473093i
\(51\) −255.742 + 212.255i −0.702178 + 0.582779i
\(52\) 253.386i 0.675737i
\(53\) 460.939 266.123i 1.19462 0.689714i 0.235269 0.971930i \(-0.424403\pi\)
0.959351 + 0.282216i \(0.0910695\pi\)
\(54\) −218.803 131.087i −0.551394 0.330345i
\(55\) 121.319i 0.297431i
\(56\) −246.012 + 349.547i −0.587049 + 0.834111i
\(57\) −182.571 + 493.321i −0.424247 + 1.14635i
\(58\) 28.2792 0.0640215
\(59\) −87.4084 + 151.396i −0.192875 + 0.334069i −0.946202 0.323577i \(-0.895114\pi\)
0.753327 + 0.657646i \(0.228448\pi\)
\(60\) 236.207 + 87.4168i 0.508238 + 0.188091i
\(61\) 261.165 150.784i 0.548176 0.316490i −0.200210 0.979753i \(-0.564162\pi\)
0.748386 + 0.663263i \(0.230829\pi\)
\(62\) 363.692 0.744983
\(63\) −481.260 135.779i −0.962429 0.271532i
\(64\) −356.347 −0.695990
\(65\) −482.597 + 278.627i −0.920904 + 0.531684i
\(66\) 85.4176 70.8931i 0.159306 0.132217i
\(67\) −149.252 + 258.512i −0.272150 + 0.471378i −0.969412 0.245438i \(-0.921068\pi\)
0.697262 + 0.716816i \(0.254401\pi\)
\(68\) −300.276 −0.535497
\(69\) 997.022 170.268i 1.73953 0.297070i
\(70\) −346.244 31.1327i −0.591201 0.0531581i
\(71\) 709.248i 1.18552i 0.805377 + 0.592762i \(0.201963\pi\)
−0.805377 + 0.592762i \(0.798037\pi\)
\(72\) −206.807 587.831i −0.338505 0.962175i
\(73\) 732.758 423.058i 1.17483 0.678290i 0.220019 0.975496i \(-0.429388\pi\)
0.954814 + 0.297205i \(0.0960546\pi\)
\(74\) 555.631i 0.872848i
\(75\) −16.0950 94.2465i −0.0247799 0.145102i
\(76\) −411.584 + 237.628i −0.621209 + 0.358655i
\(77\) 125.251 177.963i 0.185372 0.263387i
\(78\) 478.179 + 176.967i 0.694143 + 0.256892i
\(79\) −568.486 984.646i −0.809616 1.40230i −0.913130 0.407668i \(-0.866342\pi\)
0.103514 0.994628i \(-0.466991\pi\)
\(80\) −22.7266 39.3636i −0.0317613 0.0550123i
\(81\) 568.416 456.447i 0.779720 0.626128i
\(82\) −111.366 64.2974i −0.149980 0.0865910i
\(83\) −164.325 + 284.620i −0.217314 + 0.376398i −0.953986 0.299852i \(-0.903063\pi\)
0.736672 + 0.676250i \(0.236396\pi\)
\(84\) −256.243 372.093i −0.332838 0.483318i
\(85\) −330.188 571.903i −0.421341 0.729783i
\(86\) 190.866i 0.239321i
\(87\) −28.0525 + 75.8002i −0.0345695 + 0.0934096i
\(88\) 271.194 0.328516
\(89\) 506.312 876.958i 0.603022 1.04446i −0.389339 0.921095i \(-0.627296\pi\)
0.992361 0.123370i \(-0.0393702\pi\)
\(90\) 329.938 384.708i 0.386428 0.450575i
\(91\) 995.576 + 89.5176i 1.14687 + 0.103121i
\(92\) 791.413 + 456.922i 0.896853 + 0.517798i
\(93\) −360.776 + 974.847i −0.402266 + 1.08696i
\(94\) −11.4523 6.61197i −0.0125661 0.00725503i
\(95\) −905.168 522.599i −0.977561 0.564395i
\(96\) 318.553 860.757i 0.338669 0.915111i
\(97\) −1202.67 694.363i −1.25889 0.726823i −0.286035 0.958219i \(-0.592337\pi\)
−0.972860 + 0.231396i \(0.925671\pi\)
\(98\) 475.763 + 403.133i 0.490401 + 0.415536i
\(99\) 105.290 + 299.280i 0.106890 + 0.303826i
\(100\) 43.1919 74.8106i 0.0431919 0.0748106i
\(101\) −1558.92 −1.53583 −0.767914 0.640553i \(-0.778705\pi\)
−0.767914 + 0.640553i \(0.778705\pi\)
\(102\) −209.715 + 566.668i −0.203577 + 0.550083i
\(103\) 1064.04i 1.01789i −0.860798 0.508946i \(-0.830035\pi\)
0.860798 0.508946i \(-0.169965\pi\)
\(104\) 622.837 + 1078.78i 0.587251 + 1.01715i
\(105\) 426.917 897.197i 0.396789 0.833880i
\(106\) 483.826 838.011i 0.443333 0.767876i
\(107\) −781.498 451.198i −0.706077 0.407654i 0.103530 0.994626i \(-0.466986\pi\)
−0.809607 + 0.586973i \(0.800320\pi\)
\(108\) 658.561 + 10.6470i 0.586760 + 0.00948615i
\(109\) −279.653 484.374i −0.245742 0.425638i 0.716598 0.697487i \(-0.245698\pi\)
−0.962340 + 0.271848i \(0.912365\pi\)
\(110\) 110.283 + 191.015i 0.0955911 + 0.165569i
\(111\) −1489.32 551.176i −1.27352 0.471309i
\(112\) −7.30161 + 81.2053i −0.00616015 + 0.0685106i
\(113\) −640.930 + 370.041i −0.533572 + 0.308058i −0.742470 0.669880i \(-0.766346\pi\)
0.208898 + 0.977937i \(0.433012\pi\)
\(114\) 160.988 + 942.685i 0.132262 + 0.774478i
\(115\) 2009.76i 1.62966i
\(116\) −63.2411 + 36.5122i −0.0506188 + 0.0292248i
\(117\) −948.690 + 1106.17i −0.749628 + 0.874066i
\(118\) 317.826i 0.247951i
\(119\) −106.083 + 1179.81i −0.0817195 + 0.908849i
\(120\) 1220.52 208.436i 0.928483 0.158563i
\(121\) 1192.93 0.896265
\(122\) 274.132 474.811i 0.203433 0.352356i
\(123\) 282.817 234.727i 0.207323 0.172070i
\(124\) −813.327 + 469.575i −0.589024 + 0.340073i
\(125\) 1480.57 1.05941
\(126\) −881.160 + 223.697i −0.623015 + 0.158163i
\(127\) 191.857 0.134052 0.0670258 0.997751i \(-0.478649\pi\)
0.0670258 + 0.997751i \(0.478649\pi\)
\(128\) 662.689 382.604i 0.457609 0.264201i
\(129\) 511.601 + 189.336i 0.349178 + 0.129225i
\(130\) −506.559 + 877.386i −0.341755 + 0.591937i
\(131\) 74.3261 0.0495718 0.0247859 0.999693i \(-0.492110\pi\)
0.0247859 + 0.999693i \(0.492110\pi\)
\(132\) −99.4877 + 268.824i −0.0656007 + 0.177259i
\(133\) 788.255 + 1701.10i 0.513912 + 1.10905i
\(134\) 542.696i 0.349864i
\(135\) 703.886 + 1266.00i 0.448747 + 0.807108i
\(136\) −1278.42 + 738.095i −0.806054 + 0.465376i
\(137\) 1039.13i 0.648019i −0.946054 0.324010i \(-0.894969\pi\)
0.946054 0.324010i \(-0.105031\pi\)
\(138\) 1415.01 1174.40i 0.872854 0.724433i
\(139\) −1698.17 + 980.437i −1.03623 + 0.598270i −0.918764 0.394806i \(-0.870812\pi\)
−0.117470 + 0.993076i \(0.537478\pi\)
\(140\) 814.505 377.425i 0.491702 0.227845i
\(141\) 29.0833 24.1379i 0.0173706 0.0144169i
\(142\) 644.725 + 1116.70i 0.381015 + 0.659937i
\(143\) −317.102 549.236i −0.185436 0.321185i
\(144\) −90.2263 77.3811i −0.0522143 0.0447807i
\(145\) −139.082 80.2989i −0.0796559 0.0459894i
\(146\) 769.141 1332.19i 0.435990 0.755157i
\(147\) −1552.51 + 875.344i −0.871082 + 0.491137i
\(148\) −717.393 1242.56i −0.398442 0.690121i
\(149\) 2389.64i 1.31387i −0.753947 0.656936i \(-0.771852\pi\)
0.753947 0.656936i \(-0.228148\pi\)
\(150\) −111.014 133.758i −0.0604282 0.0728088i
\(151\) 1639.95 0.883823 0.441912 0.897059i \(-0.354301\pi\)
0.441912 + 0.897059i \(0.354301\pi\)
\(152\) −1168.20 + 2023.39i −0.623381 + 1.07973i
\(153\) −1310.87 1124.25i −0.692666 0.594053i
\(154\) 35.4316 394.055i 0.0185400 0.206194i
\(155\) −1788.70 1032.70i −0.926913 0.535153i
\(156\) −1297.84 + 221.641i −0.666094 + 0.113753i
\(157\) 1025.10 + 591.842i 0.521095 + 0.300854i 0.737382 0.675475i \(-0.236062\pi\)
−0.216288 + 0.976330i \(0.569395\pi\)
\(158\) −1790.14 1033.54i −0.901365 0.520403i
\(159\) 1766.27 + 2128.15i 0.880973 + 1.06147i
\(160\) 1579.36 + 911.843i 0.780370 + 0.450547i
\(161\) 2074.88 2948.10i 1.01567 1.44313i
\(162\) 480.036 1235.37i 0.232810 0.599135i
\(163\) 410.313 710.683i 0.197167 0.341503i −0.750442 0.660936i \(-0.770159\pi\)
0.947609 + 0.319434i \(0.103493\pi\)
\(164\) 332.066 0.158110
\(165\) −621.398 + 106.120i −0.293187 + 0.0500693i
\(166\) 597.503i 0.279369i
\(167\) 796.684 + 1379.90i 0.369157 + 0.639399i 0.989434 0.144984i \(-0.0463130\pi\)
−0.620277 + 0.784383i \(0.712980\pi\)
\(168\) −2005.57 954.319i −0.921030 0.438258i
\(169\) 358.038 620.139i 0.162967 0.282266i
\(170\) −1039.75 600.299i −0.469089 0.270829i
\(171\) −2686.49 503.611i −1.20141 0.225217i
\(172\) 246.433 + 426.835i 0.109246 + 0.189220i
\(173\) 1130.30 + 1957.73i 0.496733 + 0.860368i 0.999993 0.00376773i \(-0.00119931\pi\)
−0.503259 + 0.864135i \(0.667866\pi\)
\(174\) 24.7363 + 144.846i 0.0107773 + 0.0631078i
\(175\) −278.678 196.134i −0.120378 0.0847221i
\(176\) 44.7991 25.8648i 0.0191867 0.0110774i
\(177\) −851.907 315.278i −0.361770 0.133885i
\(178\) 1841.00i 0.775219i
\(179\) −1332.30 + 769.204i −0.556317 + 0.321190i −0.751666 0.659544i \(-0.770749\pi\)
0.195349 + 0.980734i \(0.437416\pi\)
\(180\) −241.134 + 1286.32i −0.0998505 + 0.532648i
\(181\) 249.151i 0.102316i 0.998691 + 0.0511582i \(0.0162913\pi\)
−0.998691 + 0.0511582i \(0.983709\pi\)
\(182\) 1648.89 764.060i 0.671558 0.311186i
\(183\) 1000.76 + 1205.79i 0.404252 + 0.487076i
\(184\) 4492.56 1.79998
\(185\) 1577.71 2732.68i 0.627004 1.08600i
\(186\) 318.127 + 1862.83i 0.125410 + 0.734351i
\(187\) 650.874 375.782i 0.254527 0.146952i
\(188\) 34.1477 0.0132472
\(189\) 274.493 2583.78i 0.105642 0.994404i
\(190\) −1900.22 −0.725562
\(191\) 1862.45 1075.28i 0.705560 0.407355i −0.103855 0.994592i \(-0.533118\pi\)
0.809415 + 0.587237i \(0.199784\pi\)
\(192\) −311.702 1825.21i −0.117162 0.686058i
\(193\) 1091.81 1891.07i 0.407202 0.705295i −0.587373 0.809316i \(-0.699838\pi\)
0.994575 + 0.104022i \(0.0331711\pi\)
\(194\) −2524.77 −0.934372
\(195\) −1849.26 2228.14i −0.679121 0.818259i
\(196\) −1584.45 287.255i −0.577423 0.104685i
\(197\) 4979.78i 1.80099i 0.434868 + 0.900494i \(0.356795\pi\)
−0.434868 + 0.900494i \(0.643205\pi\)
\(198\) 437.830 + 375.498i 0.157148 + 0.134775i
\(199\) 2209.05 1275.39i 0.786911 0.454323i −0.0519632 0.998649i \(-0.516548\pi\)
0.838874 + 0.544326i \(0.183215\pi\)
\(200\) 424.672i 0.150144i
\(201\) −1454.65 538.345i −0.510464 0.188915i
\(202\) −2454.49 + 1417.10i −0.854937 + 0.493598i
\(203\) 121.118 + 261.379i 0.0418758 + 0.0903704i
\(204\) −262.656 1538.01i −0.0901451 0.527855i
\(205\) 365.145 + 632.449i 0.124404 + 0.215474i
\(206\) −967.239 1675.31i −0.327139 0.566622i
\(207\) 1744.22 + 4957.81i 0.585661 + 1.66469i
\(208\) 205.775 + 118.804i 0.0685958 + 0.0396038i
\(209\) 594.762 1030.16i 0.196845 0.340945i
\(210\) −143.404 1800.69i −0.0471228 0.591713i
\(211\) −2075.55 3594.96i −0.677188 1.17292i −0.975824 0.218557i \(-0.929865\pi\)
0.298636 0.954367i \(-0.403468\pi\)
\(212\) 2498.73i 0.809499i
\(213\) −3632.77 + 620.390i −1.16861 + 0.199570i
\(214\) −1640.60 −0.524062
\(215\) −541.964 + 938.709i −0.171915 + 0.297765i
\(216\) 2829.98 1573.45i 0.891460 0.495646i
\(217\) 1557.66 + 3361.53i 0.487286 + 1.05159i
\(218\) −880.616 508.424i −0.273591 0.157958i
\(219\) 2807.86 + 3383.13i 0.866381 + 1.04388i
\(220\) −493.251 284.779i −0.151159 0.0872717i
\(221\) 2989.65 + 1726.08i 0.909980 + 0.525377i
\(222\) −2845.94 + 486.019i −0.860392 + 0.146934i
\(223\) −1646.73 950.739i −0.494498 0.285499i 0.231941 0.972730i \(-0.425493\pi\)
−0.726439 + 0.687231i \(0.758826\pi\)
\(224\) −1375.36 2968.12i −0.410247 0.885337i
\(225\) 468.652 164.878i 0.138860 0.0488526i
\(226\) −672.754 + 1165.24i −0.198013 + 0.342968i
\(227\) 78.4210 0.0229294 0.0114647 0.999934i \(-0.496351\pi\)
0.0114647 + 0.999934i \(0.496351\pi\)
\(228\) −1577.15 1900.28i −0.458111 0.551969i
\(229\) 4257.85i 1.22868i 0.789043 + 0.614338i \(0.210577\pi\)
−0.789043 + 0.614338i \(0.789423\pi\)
\(230\) 1826.92 + 3164.32i 0.523754 + 0.907169i
\(231\) 1021.09 + 485.867i 0.290833 + 0.138388i
\(232\) −179.498 + 310.900i −0.0507958 + 0.0879809i
\(233\) −316.489 182.725i −0.0889868 0.0513765i 0.454846 0.890570i \(-0.349694\pi\)
−0.543833 + 0.839193i \(0.683028\pi\)
\(234\) −488.153 + 2604.03i −0.136374 + 0.727482i
\(235\) 37.5494 + 65.0374i 0.0104232 + 0.0180535i
\(236\) −410.356 710.757i −0.113186 0.196044i
\(237\) 4546.09 3773.07i 1.24599 1.03412i
\(238\) 905.453 + 1954.02i 0.246604 + 0.532186i
\(239\) −2801.03 + 1617.18i −0.758091 + 0.437684i −0.828610 0.559827i \(-0.810868\pi\)
0.0705190 + 0.997510i \(0.477534\pi\)
\(240\) 181.741 150.837i 0.0488805 0.0405688i
\(241\) 2682.91i 0.717101i −0.933510 0.358550i \(-0.883271\pi\)
0.933510 0.358550i \(-0.116729\pi\)
\(242\) 1878.24 1084.40i 0.498917 0.288050i
\(243\) 2835.13 + 2512.16i 0.748450 + 0.663191i
\(244\) 1415.76i 0.371455i
\(245\) −1195.18 3333.60i −0.311663 0.869289i
\(246\) 231.917 626.660i 0.0601078 0.162416i
\(247\) 5463.82 1.40751
\(248\) −2308.48 + 3998.40i −0.591083 + 1.02379i
\(249\) −1601.56 592.713i −0.407609 0.150850i
\(250\) 2331.12 1345.87i 0.589732 0.340482i
\(251\) −4725.76 −1.18840 −0.594198 0.804319i \(-0.702530\pi\)
−0.594198 + 0.804319i \(0.702530\pi\)
\(252\) 1681.72 1637.95i 0.420391 0.409449i
\(253\) −2287.27 −0.568378
\(254\) 302.075 174.403i 0.0746215 0.0430827i
\(255\) 2640.47 2191.48i 0.648441 0.538179i
\(256\) 2120.98 3673.65i 0.517818 0.896886i
\(257\) 4493.81 1.09073 0.545363 0.838200i \(-0.316392\pi\)
0.545363 + 0.838200i \(0.316392\pi\)
\(258\) 977.615 166.953i 0.235906 0.0402871i
\(259\) −5135.58 + 2379.72i −1.23208 + 0.570921i
\(260\) 2616.14i 0.624023i
\(261\) −412.787 77.3813i −0.0978960 0.0183516i
\(262\) 117.025 67.5643i 0.0275947 0.0159318i
\(263\) 7590.93i 1.77976i 0.456195 + 0.889880i \(0.349212\pi\)
−0.456195 + 0.889880i \(0.650788\pi\)
\(264\) 237.218 + 1389.06i 0.0553021 + 0.323828i
\(265\) −4759.06 + 2747.65i −1.10320 + 0.636931i
\(266\) 2787.43 + 1961.80i 0.642513 + 0.452202i
\(267\) 4934.66 + 1826.24i 1.13107 + 0.418592i
\(268\) −700.693 1213.64i −0.159708 0.276622i
\(269\) 2535.95 + 4392.39i 0.574794 + 0.995572i 0.996064 + 0.0886370i \(0.0282511\pi\)
−0.421270 + 0.906935i \(0.638416\pi\)
\(270\) 2259.08 + 1353.43i 0.509196 + 0.305064i
\(271\) −5109.38 2949.90i −1.14529 0.661232i −0.197552 0.980292i \(-0.563299\pi\)
−0.947734 + 0.319061i \(0.896633\pi\)
\(272\) −140.789 + 243.854i −0.0313846 + 0.0543597i
\(273\) 412.336 + 5177.64i 0.0914129 + 1.14786i
\(274\) −944.593 1636.08i −0.208266 0.360728i
\(275\) 216.211i 0.0474110i
\(276\) −1648.09 + 4453.29i −0.359433 + 0.971220i
\(277\) −2031.65 −0.440687 −0.220343 0.975422i \(-0.570718\pi\)
−0.220343 + 0.975422i \(0.570718\pi\)
\(278\) −1782.48 + 3087.35i −0.384555 + 0.666069i
\(279\) −5308.74 995.181i −1.13916 0.213548i
\(280\) 2540.00 3608.97i 0.542122 0.770276i
\(281\) −1989.68 1148.74i −0.422400 0.243873i 0.273704 0.961814i \(-0.411751\pi\)
−0.696104 + 0.717941i \(0.745085\pi\)
\(282\) 23.8490 64.4421i 0.00503613 0.0136080i
\(283\) −4911.00 2835.37i −1.03155 0.595566i −0.114122 0.993467i \(-0.536405\pi\)
−0.917428 + 0.397901i \(0.869739\pi\)
\(284\) −2883.60 1664.85i −0.602502 0.347855i
\(285\) 1884.99 5093.40i 0.391779 1.05862i
\(286\) −998.539 576.507i −0.206451 0.119194i
\(287\) 117.314 1304.72i 0.0241283 0.268345i
\(288\) 4687.44 + 878.711i 0.959063 + 0.179787i
\(289\) 411.009 711.888i 0.0836574 0.144899i
\(290\) −291.975 −0.0591219
\(291\) 2504.53 6767.45i 0.504530 1.36328i
\(292\) 3972.25i 0.796090i
\(293\) 3447.32 + 5970.93i 0.687353 + 1.19053i 0.972691 + 0.232103i \(0.0745606\pi\)
−0.285339 + 0.958427i \(0.592106\pi\)
\(294\) −1648.69 + 2789.48i −0.327052 + 0.553354i
\(295\) 902.467 1563.12i 0.178114 0.308503i
\(296\) −6108.56 3526.78i −1.19950 0.692534i
\(297\) −1440.81 + 801.082i −0.281496 + 0.156510i
\(298\) −2172.24 3762.43i −0.422264 0.731382i
\(299\) −5253.05 9098.54i −1.01603 1.75981i
\(300\) 420.960 + 155.791i 0.0810139 + 0.0299820i
\(301\) 1764.13 817.463i 0.337817 0.156537i
\(302\) 2582.07 1490.76i 0.491991 0.284051i
\(303\) −1363.61 7984.80i −0.258540 1.51391i
\(304\) 445.663i 0.0840807i
\(305\) −2696.45 + 1556.80i −0.506224 + 0.292269i
\(306\) −3085.91 578.488i −0.576503 0.108072i
\(307\) 792.899i 0.147404i 0.997280 + 0.0737022i \(0.0234814\pi\)
−0.997280 + 0.0737022i \(0.976519\pi\)
\(308\) 429.542 + 926.976i 0.0794656 + 0.171491i
\(309\) 5450.01 930.731i 1.00337 0.171351i
\(310\) −3755.02 −0.687970
\(311\) 3884.56 6728.26i 0.708275 1.22677i −0.257222 0.966352i \(-0.582807\pi\)
0.965497 0.260415i \(-0.0838595\pi\)
\(312\) −4980.73 + 4133.80i −0.903776 + 0.750097i
\(313\) 2994.09 1728.64i 0.540689 0.312167i −0.204669 0.978831i \(-0.565612\pi\)
0.745358 + 0.666664i \(0.232278\pi\)
\(314\) 2152.00 0.386765
\(315\) 4968.87 + 1401.88i 0.888775 + 0.250752i
\(316\) 5337.73 0.950224
\(317\) −2267.37 + 1309.06i −0.401728 + 0.231938i −0.687229 0.726440i \(-0.741173\pi\)
0.285501 + 0.958378i \(0.407840\pi\)
\(318\) 4715.50 + 1745.13i 0.831548 + 0.307743i
\(319\) 91.3870 158.287i 0.0160398 0.0277817i
\(320\) 3679.18 0.642726
\(321\) 1627.45 4397.50i 0.282976 0.764625i
\(322\) 586.954 6527.85i 0.101583 1.12976i
\(323\) 6474.92i 1.11540i
\(324\) 521.519 + 3382.46i 0.0894238 + 0.579983i
\(325\) −860.067 + 496.560i −0.146794 + 0.0847513i
\(326\) 1491.94i 0.253469i
\(327\) 2236.34 1856.07i 0.378196 0.313887i
\(328\) 1413.76 816.235i 0.237994 0.137406i
\(329\) 12.0639 134.169i 0.00202159 0.0224833i
\(330\) −881.912 + 731.951i −0.147114 + 0.122099i
\(331\) −127.158 220.244i −0.0211155 0.0365731i 0.855275 0.518175i \(-0.173388\pi\)
−0.876390 + 0.481602i \(0.840055\pi\)
\(332\) −771.456 1336.20i −0.127528 0.220884i
\(333\) 1520.39 8110.44i 0.250200 1.33468i
\(334\) 2508.72 + 1448.41i 0.410992 + 0.237286i
\(335\) 1540.99 2669.07i 0.251323 0.435304i
\(336\) −422.320 + 33.6327i −0.0685698 + 0.00546076i
\(337\) 4521.98 + 7832.30i 0.730943 + 1.26603i 0.956480 + 0.291796i \(0.0942529\pi\)
−0.225537 + 0.974235i \(0.572414\pi\)
\(338\) 1301.86i 0.209503i
\(339\) −2455.98 2959.16i −0.393483 0.474099i
\(340\) 3100.26 0.494516
\(341\) 1175.30 2035.69i 0.186646 0.323280i
\(342\) −4687.61 + 1649.16i −0.741161 + 0.260750i
\(343\) −1688.41 + 6123.96i −0.265789 + 0.964031i
\(344\) 2098.37 + 1211.49i 0.328885 + 0.189882i
\(345\) −10294.0 + 1757.96i −1.60640 + 0.274335i
\(346\) 3559.26 + 2054.94i 0.553026 + 0.319289i
\(347\) −6246.99 3606.70i −0.966443 0.557976i −0.0682931 0.997665i \(-0.521755\pi\)
−0.898150 + 0.439689i \(0.855089\pi\)
\(348\) −242.334 291.983i −0.0373289 0.0449768i
\(349\) 214.544 + 123.867i 0.0329062 + 0.0189984i 0.516363 0.856370i \(-0.327286\pi\)
−0.483457 + 0.875368i \(0.660619\pi\)
\(350\) −617.064 55.4835i −0.0942385 0.00847349i
\(351\) −6495.65 3891.60i −0.987784 0.591791i
\(352\) −1037.75 + 1797.44i −0.157138 + 0.272171i
\(353\) 2398.42 0.361630 0.180815 0.983517i \(-0.442127\pi\)
0.180815 + 0.983517i \(0.442127\pi\)
\(354\) −1627.90 + 278.007i −0.244413 + 0.0417399i
\(355\) 7322.78i 1.09480i
\(356\) 2376.98 + 4117.05i 0.353875 + 0.612930i
\(357\) −6135.78 + 488.641i −0.909636 + 0.0724415i
\(358\) −1398.45 + 2422.19i −0.206454 + 0.357589i
\(359\) 3189.10 + 1841.23i 0.468842 + 0.270686i 0.715755 0.698351i \(-0.246083\pi\)
−0.246913 + 0.969038i \(0.579416\pi\)
\(360\) 2135.22 + 6069.19i 0.312600 + 0.888540i
\(361\) 1694.53 + 2935.01i 0.247052 + 0.427907i
\(362\) 226.485 + 392.283i 0.0328834 + 0.0569556i
\(363\) 1043.47 + 6110.18i 0.150876 + 0.883474i
\(364\) −2700.91 + 3837.61i −0.388919 + 0.552597i
\(365\) −7565.51 + 4367.95i −1.08492 + 0.626381i
\(366\) 2671.77 + 988.781i 0.381573 + 0.141214i
\(367\) 11149.6i 1.58584i 0.609323 + 0.792922i \(0.291441\pi\)
−0.609323 + 0.792922i \(0.708559\pi\)
\(368\) 742.133 428.471i 0.105126 0.0606945i
\(369\) 1449.65 + 1243.27i 0.204515 + 0.175399i
\(370\) 5736.73i 0.806049i
\(371\) 9817.74 + 882.766i 1.37389 + 0.123533i
\(372\) −3116.59 3755.12i −0.434376 0.523370i
\(373\) −9748.05 −1.35318 −0.676588 0.736362i \(-0.736542\pi\)
−0.676588 + 0.736362i \(0.736542\pi\)
\(374\) 683.192 1183.32i 0.0944572 0.163605i
\(375\) 1295.07 + 7583.46i 0.178340 + 1.04429i
\(376\) 145.383 83.9369i 0.0199403 0.0115125i
\(377\) 839.532 0.114690
\(378\) −1916.54 4317.63i −0.260784 0.587500i
\(379\) −4563.79 −0.618538 −0.309269 0.950975i \(-0.600084\pi\)
−0.309269 + 0.950975i \(0.600084\pi\)
\(380\) 4249.49 2453.44i 0.573668 0.331208i
\(381\) 167.820 + 982.691i 0.0225661 + 0.132139i
\(382\) 1954.92 3386.02i 0.261839 0.453518i
\(383\) −3153.32 −0.420698 −0.210349 0.977626i \(-0.567460\pi\)
−0.210349 + 0.977626i \(0.567460\pi\)
\(384\) 2539.36 + 3059.62i 0.337464 + 0.406604i
\(385\) −1293.18 + 1837.42i −0.171186 + 0.243230i
\(386\) 3969.92i 0.523481i
\(387\) −522.272 + 2786.03i −0.0686009 + 0.365948i
\(388\) 5646.17 3259.82i 0.738765 0.426526i
\(389\) 7456.02i 0.971813i 0.874011 + 0.485906i \(0.161510\pi\)
−0.874011 + 0.485906i \(0.838490\pi\)
\(390\) −4937.06 1827.13i −0.641020 0.237232i
\(391\) 10782.3 6225.14i 1.39458 0.805163i
\(392\) −7451.84 + 2671.68i −0.960140 + 0.344235i
\(393\) 65.0142 + 380.698i 0.00834486 + 0.0488643i
\(394\) 4526.75 + 7840.56i 0.578818 + 1.00254i
\(395\) 5869.45 + 10166.2i 0.747656 + 1.29498i
\(396\) −1463.94 274.431i −0.185772 0.0348250i
\(397\) −3744.30 2161.77i −0.473353 0.273290i 0.244290 0.969702i \(-0.421445\pi\)
−0.717642 + 0.696412i \(0.754779\pi\)
\(398\) 2318.73 4016.16i 0.292029 0.505809i
\(399\) −8023.53 + 5525.42i −1.00671 + 0.693275i
\(400\) −40.5025 70.1524i −0.00506281 0.00876904i
\(401\) 72.7123i 0.00905506i −0.999990 0.00452753i \(-0.998559\pi\)
0.999990 0.00452753i \(-0.00144116\pi\)
\(402\) −2779.69 + 474.705i −0.344872 + 0.0588958i
\(403\) 10797.0 1.33458
\(404\) 3659.33 6338.15i 0.450640 0.780531i
\(405\) −5868.73 + 4712.69i −0.720048 + 0.578211i
\(406\) 428.297 + 301.436i 0.0523548 + 0.0368474i
\(407\) 3110.02 + 1795.57i 0.378767 + 0.218681i
\(408\) −4898.77 5902.43i −0.594425 0.716210i
\(409\) −3632.66 2097.32i −0.439177 0.253559i 0.264072 0.964503i \(-0.414934\pi\)
−0.703248 + 0.710944i \(0.748268\pi\)
\(410\) 1149.83 + 663.852i 0.138502 + 0.0799642i
\(411\) 5322.41 908.941i 0.638772 0.109087i
\(412\) 4326.09 + 2497.67i 0.517308 + 0.298668i
\(413\) −2937.60 + 1361.22i −0.349999 + 0.162183i
\(414\) 7253.02 + 6220.43i 0.861030 + 0.738447i
\(415\) 1696.61 2938.62i 0.200683 0.347593i
\(416\) −9533.40 −1.12359
\(417\) −6507.21 7840.40i −0.764171 0.920734i
\(418\) 2162.62i 0.253055i
\(419\) −7094.88 12288.7i −0.827226 1.43280i −0.900206 0.435463i \(-0.856585\pi\)
0.0729809 0.997333i \(-0.476749\pi\)
\(420\) 2645.63 + 3841.75i 0.307366 + 0.446330i
\(421\) −5387.76 + 9331.88i −0.623714 + 1.08030i 0.365074 + 0.930978i \(0.381044\pi\)
−0.988788 + 0.149326i \(0.952290\pi\)
\(422\) −6535.81 3773.45i −0.753930 0.435282i
\(423\) 149.074 + 127.851i 0.0171353 + 0.0146958i
\(424\) 6142.02 + 10638.3i 0.703497 + 1.21849i
\(425\) −588.450 1019.23i −0.0671624 0.116329i
\(426\) −5155.76 + 4279.07i −0.586379 + 0.486670i
\(427\) 5562.66 + 500.169i 0.630436 + 0.0566859i
\(428\) 3668.89 2118.23i 0.414352 0.239226i
\(429\) 2535.81 2104.62i 0.285385 0.236858i
\(430\) 1970.64i 0.221006i
\(431\) 9918.85 5726.65i 1.10853 0.640007i 0.170078 0.985431i \(-0.445598\pi\)
0.938447 + 0.345423i \(0.112265\pi\)
\(432\) 317.423 529.825i 0.0353519 0.0590075i
\(433\) 3256.21i 0.361394i 0.983539 + 0.180697i \(0.0578353\pi\)
−0.983539 + 0.180697i \(0.942165\pi\)
\(434\) 5508.22 + 3876.70i 0.609224 + 0.428773i
\(435\) 289.634 782.615i 0.0319239 0.0862610i
\(436\) 2625.77 0.288421
\(437\) 9852.72 17065.4i 1.07853 1.86808i
\(438\) 7496.26 + 2774.25i 0.817774 + 0.302646i
\(439\) 4718.28 2724.10i 0.512964 0.296160i −0.221087 0.975254i \(-0.570961\pi\)
0.734051 + 0.679094i \(0.237627\pi\)
\(440\) −2800.00 −0.303375
\(441\) −5841.52 7186.29i −0.630765 0.775974i
\(442\) 6276.19 0.675402
\(443\) −7130.18 + 4116.61i −0.764707 + 0.441504i −0.830983 0.556297i \(-0.812222\pi\)
0.0662761 + 0.997801i \(0.478888\pi\)
\(444\) 5736.88 4761.37i 0.613199 0.508930i
\(445\) −5227.52 + 9054.34i −0.556873 + 0.964532i
\(446\) −3456.98 −0.367024
\(447\) 12239.7 2090.25i 1.29512 0.221176i
\(448\) −5396.97 3798.40i −0.569159 0.400575i
\(449\) 14892.7i 1.56532i −0.622447 0.782662i \(-0.713861\pi\)
0.622447 0.782662i \(-0.286139\pi\)
\(450\) 588.004 685.613i 0.0615973 0.0718224i
\(451\) −719.781 + 415.566i −0.0751512 + 0.0433885i
\(452\) 3474.46i 0.361559i
\(453\) 1434.49 + 8399.82i 0.148782 + 0.871210i
\(454\) 123.472 71.2867i 0.0127640 0.00736927i
\(455\) −10279.0 924.243i −1.05910 0.0952290i
\(456\) −11385.7 4213.65i −1.16926 0.432725i
\(457\) −6757.51 11704.3i −0.691691 1.19804i −0.971283 0.237925i \(-0.923533\pi\)
0.279592 0.960119i \(-0.409801\pi\)
\(458\) 3870.50 + 6703.90i 0.394883 + 0.683957i
\(459\) 4611.76 7697.69i 0.468973 0.782783i
\(460\) −8171.11 4717.59i −0.828217 0.478171i
\(461\) 1880.20 3256.61i 0.189956 0.329014i −0.755279 0.655403i \(-0.772499\pi\)
0.945235 + 0.326389i \(0.105832\pi\)
\(462\) 2049.34 163.205i 0.206373 0.0164351i
\(463\) −8271.99 14327.5i −0.830307 1.43813i −0.897795 0.440414i \(-0.854832\pi\)
0.0674881 0.997720i \(-0.478502\pi\)
\(464\) 68.4775i 0.00685126i
\(465\) 3724.91 10065.0i 0.371481 1.00377i
\(466\) −664.408 −0.0660474
\(467\) −2187.46 + 3788.79i −0.216753 + 0.375427i −0.953813 0.300400i \(-0.902880\pi\)
0.737060 + 0.675827i \(0.236213\pi\)
\(468\) −2270.49 6453.68i −0.224259 0.637439i
\(469\) −5016.03 + 2324.32i −0.493856 + 0.228843i
\(470\) 118.241 + 68.2667i 0.0116044 + 0.00669980i
\(471\) −2134.74 + 5768.25i −0.208840 + 0.564304i
\(472\) −3494.16 2017.35i −0.340745 0.196729i
\(473\) −1068.33 616.801i −0.103852 0.0599588i
\(474\) 3727.91 10073.1i 0.361242 0.976106i
\(475\) −1613.16 931.358i −0.155825 0.0899655i
\(476\) −4547.77 3200.73i −0.437913 0.308204i
\(477\) −9355.38 + 10908.4i −0.898016 + 1.04709i
\(478\) −2940.11 + 5092.42i −0.281334 + 0.487284i
\(479\) −8371.26 −0.798523 −0.399262 0.916837i \(-0.630733\pi\)
−0.399262 + 0.916837i \(0.630733\pi\)
\(480\) −3288.97 + 8887.07i −0.312750 + 0.845078i
\(481\) 16495.1i 1.56365i
\(482\) −2438.83 4224.18i −0.230468 0.399183i
\(483\) 16915.1 + 8048.79i 1.59351 + 0.758246i
\(484\) −2800.21 + 4850.11i −0.262980 + 0.455495i
\(485\) 12417.2 + 7169.09i 1.16255 + 0.671200i
\(486\) 6747.47 + 1378.15i 0.629776 + 0.128630i
\(487\) −8120.25 14064.7i −0.755572 1.30869i −0.945089 0.326812i \(-0.894026\pi\)
0.189517 0.981877i \(-0.439308\pi\)
\(488\) 3480.03 + 6027.58i 0.322814 + 0.559131i
\(489\) 3999.02 + 1479.98i 0.369820 + 0.136865i
\(490\) −4912.12 4162.23i −0.452871 0.383735i
\(491\) 10501.0 6062.77i 0.965183 0.557248i 0.0674183 0.997725i \(-0.478524\pi\)
0.897764 + 0.440476i \(0.145190\pi\)
\(492\) 290.463 + 1700.84i 0.0266160 + 0.155853i
\(493\) 994.891i 0.0908877i
\(494\) 8602.67 4966.76i 0.783507 0.452358i
\(495\) −1087.09 3089.98i −0.0987095 0.280574i
\(496\) 880.671i 0.0797244i
\(497\) −7560.08 + 10741.8i −0.682325 + 0.969485i
\(498\) −3060.41 + 522.645i −0.275382 + 0.0470287i
\(499\) 3678.40 0.329996 0.164998 0.986294i \(-0.447238\pi\)
0.164998 + 0.986294i \(0.447238\pi\)
\(500\) −3475.40 + 6019.57i −0.310849 + 0.538407i
\(501\) −6370.96 + 5287.63i −0.568131 + 0.471525i
\(502\) −7440.61 + 4295.84i −0.661535 + 0.381937i
\(503\) −4318.33 −0.382793 −0.191397 0.981513i \(-0.561302\pi\)
−0.191397 + 0.981513i \(0.561302\pi\)
\(504\) 3133.72 11107.3i 0.276958 0.981662i
\(505\) 16095.4 1.41829
\(506\) −3601.26 + 2079.19i −0.316395 + 0.182670i
\(507\) 3489.53 + 1291.42i 0.305672 + 0.113124i
\(508\) −450.354 + 780.037i −0.0393332 + 0.0681270i
\(509\) 15129.0 1.31745 0.658725 0.752384i \(-0.271096\pi\)
0.658725 + 0.752384i \(0.271096\pi\)
\(510\) 2165.25 5850.68i 0.187998 0.507986i
\(511\) 15607.3 + 1403.34i 1.35113 + 0.121487i
\(512\) 1590.44i 0.137282i
\(513\) 229.583 14200.7i 0.0197589 1.22218i
\(514\) 7075.41 4084.99i 0.607166 0.350547i
\(515\) 10985.9i 0.939993i
\(516\) −1970.69 + 1635.59i −0.168129 + 0.139540i
\(517\) −74.0181 + 42.7344i −0.00629654 + 0.00363531i
\(518\) −5922.63 + 8415.19i −0.502365 + 0.713788i
\(519\) −9038.81 + 7501.84i −0.764470 + 0.634478i
\(520\) −6430.61 11138.1i −0.542309 0.939307i
\(521\) 1778.96 + 3081.24i 0.149592 + 0.259101i 0.931077 0.364823i \(-0.118871\pi\)
−0.781485 + 0.623924i \(0.785537\pi\)
\(522\) −720.265 + 253.398i −0.0603930 + 0.0212470i
\(523\) 5150.60 + 2973.70i 0.430631 + 0.248625i 0.699616 0.714519i \(-0.253355\pi\)
−0.268984 + 0.963145i \(0.586688\pi\)
\(524\) −174.469 + 302.189i −0.0145453 + 0.0251931i
\(525\) 760.836 1598.95i 0.0632487 0.132922i
\(526\) 6900.35 + 11951.8i 0.571995 + 0.990725i
\(527\) 12795.0i 1.05761i
\(528\) 171.666 + 206.837i 0.0141492 + 0.0170481i
\(529\) −25723.5 −2.11421
\(530\) −4995.36 + 8652.22i −0.409405 + 0.709110i
\(531\) 869.676 4639.25i 0.0710748 0.379145i
\(532\) −8766.50 788.243i −0.714429 0.0642381i
\(533\) −3306.16 1908.81i −0.268678 0.155122i
\(534\) 9429.61 1610.35i 0.764156 0.130500i
\(535\) 8068.74 + 4658.49i 0.652041 + 0.376456i
\(536\) −5966.36 3444.68i −0.480798 0.277589i
\(537\) −5105.25 6151.21i −0.410256 0.494310i
\(538\) 7985.60 + 4610.49i 0.639932 + 0.369465i
\(539\) 3793.92 1360.22i 0.303183 0.108699i
\(540\) −6799.45 109.927i −0.541855 0.00876018i
\(541\) −1150.34 + 1992.45i −0.0914179 + 0.158340i −0.908108 0.418736i \(-0.862473\pi\)
0.816690 + 0.577077i \(0.195807\pi\)
\(542\) −10726.1 −0.850050
\(543\) −1276.15 + 217.936i −0.100856 + 0.0172238i
\(544\) 11297.6i 0.890405i
\(545\) 2887.34 + 5001.02i 0.226936 + 0.393064i
\(546\) 5355.82 + 7777.26i 0.419795 + 0.609590i
\(547\) 10075.5 17451.3i 0.787564 1.36410i −0.139891 0.990167i \(-0.544675\pi\)
0.927455 0.373935i \(-0.121992\pi\)
\(548\) 4224.80 + 2439.19i 0.329333 + 0.190141i
\(549\) −5300.70 + 6180.61i −0.412073 + 0.480477i
\(550\) 196.542 + 340.420i 0.0152374 + 0.0263919i
\(551\) 787.322 + 1363.68i 0.0608731 + 0.105435i
\(552\) 3929.71 + 23010.9i 0.303006 + 1.77429i
\(553\) 1885.74 20972.4i 0.145009 1.61273i
\(554\) −3198.80 + 1846.83i −0.245314 + 0.141632i
\(555\) 15376.8 + 5690.73i 1.17605 + 0.435240i
\(556\) 9205.69i 0.702173i
\(557\) 15743.2 9089.32i 1.19759 0.691430i 0.237575 0.971369i \(-0.423648\pi\)
0.960018 + 0.279939i \(0.0903143\pi\)
\(558\) −9263.14 + 3258.89i −0.702760 + 0.247240i
\(559\) 5666.28i 0.428727i
\(560\) 75.3870 838.422i 0.00568872 0.0632675i
\(561\) 2494.09 + 3005.07i 0.187701 + 0.226157i
\(562\) −4176.94 −0.313512
\(563\) −9431.25 + 16335.4i −0.706003 + 1.22283i 0.260325 + 0.965521i \(0.416170\pi\)
−0.966328 + 0.257312i \(0.917163\pi\)
\(564\) 29.8695 + 174.905i 0.00223002 + 0.0130582i
\(565\) 6617.42 3820.57i 0.492738 0.284482i
\(566\) −10309.7 −0.765633
\(567\) 13474.2 854.121i 0.997997 0.0632623i
\(568\) −16369.2 −1.20922
\(569\) 903.244 521.488i 0.0665482 0.0384216i −0.466357 0.884597i \(-0.654434\pi\)
0.532905 + 0.846175i \(0.321100\pi\)
\(570\) −1662.16 9732.95i −0.122140 0.715208i
\(571\) −9025.15 + 15632.0i −0.661455 + 1.14567i 0.318778 + 0.947829i \(0.396728\pi\)
−0.980233 + 0.197845i \(0.936606\pi\)
\(572\) 2977.39 0.217641
\(573\) 7136.72 + 8598.88i 0.520315 + 0.626917i
\(574\) −1001.31 2160.89i −0.0728117 0.157132i
\(575\) 3581.71i 0.259770i
\(576\) 9076.06 3193.07i 0.656544 0.230980i
\(577\) −6810.96 + 3932.31i −0.491411 + 0.283716i −0.725160 0.688581i \(-0.758234\pi\)
0.233749 + 0.972297i \(0.424901\pi\)
\(578\) 1494.47i 0.107546i
\(579\) 10641.1 + 3938.09i 0.763778 + 0.282662i
\(580\) 652.946 376.978i 0.0467450 0.0269882i
\(581\) −5522.60 + 2559.06i −0.394347 + 0.182733i
\(582\) −2208.46 12931.9i −0.157291 0.921038i
\(583\) −3127.06 5416.22i −0.222143 0.384763i
\(584\) 9764.00 + 16911.8i 0.691845 + 1.19831i
\(585\) 9794.95 11420.9i 0.692259 0.807174i
\(586\) 10855.4 + 6267.40i 0.765246 + 0.441815i
\(587\) −10851.6 + 18795.6i −0.763024 + 1.32160i 0.178261 + 0.983983i \(0.442953\pi\)
−0.941285 + 0.337613i \(0.890381\pi\)
\(588\) 85.3786 8366.82i 0.00598802 0.586806i
\(589\) 10125.5 + 17538.0i 0.708346 + 1.22689i
\(590\) 3281.46i 0.228976i
\(591\) −25506.4 + 4355.89i −1.77529 + 0.303177i
\(592\) −1345.45 −0.0934079
\(593\) −4093.90 + 7090.84i −0.283501 + 0.491039i −0.972245 0.233967i \(-0.924829\pi\)
0.688743 + 0.725005i \(0.258163\pi\)
\(594\) −1540.32 + 2571.02i −0.106398 + 0.177593i
\(595\) 1095.28 12181.2i 0.0754656 0.839295i
\(596\) 9715.60 + 5609.31i 0.667729 + 0.385514i
\(597\) 8464.85 + 10199.1i 0.580307 + 0.699200i
\(598\) −16541.6 9550.31i −1.13117 0.653079i
\(599\) −13181.6 7610.39i −0.899140 0.519119i −0.0222191 0.999753i \(-0.507073\pi\)
−0.876921 + 0.480634i \(0.840406\pi\)
\(600\) 2175.17 371.467i 0.148002 0.0252751i
\(601\) −4793.86 2767.74i −0.325367 0.187851i 0.328415 0.944534i \(-0.393486\pi\)
−0.653782 + 0.756683i \(0.726819\pi\)
\(602\) 2034.49 2890.72i 0.137740 0.195709i
\(603\) 1485.00 7921.63i 0.100288 0.534982i
\(604\) −3849.53 + 6667.58i −0.259330 + 0.449172i
\(605\) −12316.6 −0.827674
\(606\) −9405.37 11332.3i −0.630474 0.759645i
\(607\) 9085.48i 0.607526i 0.952748 + 0.303763i \(0.0982431\pi\)
−0.952748 + 0.303763i \(0.901757\pi\)
\(608\) −8940.52 15485.4i −0.596359 1.03292i
\(609\) −1232.84 + 848.996i −0.0820314 + 0.0564911i
\(610\) −2830.34 + 4902.29i −0.187864 + 0.325390i
\(611\) −339.986 196.291i −0.0225112 0.0129969i
\(612\) 7647.96 2690.65i 0.505148 0.177717i
\(613\) 1436.35 + 2487.83i 0.0946389 + 0.163919i 0.909458 0.415796i \(-0.136497\pi\)
−0.814819 + 0.579716i \(0.803164\pi\)
\(614\) 720.766 + 1248.40i 0.0473742 + 0.0820545i
\(615\) −2920.01 + 2423.48i −0.191457 + 0.158901i
\(616\) 4107.32 + 2890.74i 0.268650 + 0.189077i
\(617\) 20061.6 11582.6i 1.30900 0.755749i 0.327067 0.945001i \(-0.393940\pi\)
0.981928 + 0.189252i \(0.0606064\pi\)
\(618\) 7734.86 6419.61i 0.503466 0.417855i
\(619\) 12541.2i 0.814335i −0.913353 0.407168i \(-0.866517\pi\)
0.913353 0.407168i \(-0.133483\pi\)
\(620\) 8397.37 4848.22i 0.543946 0.314047i
\(621\) −23868.2 + 13270.6i −1.54235 + 0.857536i
\(622\) 14124.7i 0.910527i
\(623\) 17016.0 7884.86i 1.09427 0.507063i
\(624\) −428.521 + 1157.90i −0.0274913 + 0.0742837i
\(625\) −12986.4 −0.831129
\(626\) 3142.75 5443.40i 0.200654 0.347543i
\(627\) 5796.72 + 2145.28i 0.369216 + 0.136641i
\(628\) −4812.53 + 2778.51i −0.305797 + 0.176552i
\(629\) −19547.6 −1.23913
\(630\) 9097.72 2309.61i 0.575336 0.146059i
\(631\) 13470.4 0.849839 0.424919 0.905231i \(-0.360302\pi\)
0.424919 + 0.905231i \(0.360302\pi\)
\(632\) 22725.2 13120.4i 1.43032 0.825795i
\(633\) 16597.8 13775.5i 1.04219 0.864973i
\(634\) −2379.95 + 4122.19i −0.149085 + 0.258222i
\(635\) −1980.87 −0.123793
\(636\) −12798.5 + 2185.68i −0.797946 + 0.136270i
\(637\) 14124.1 + 11967.9i 0.878519 + 0.744404i
\(638\) 332.292i 0.0206200i
\(639\) −6355.27 18064.4i −0.393444 1.11833i
\(640\) −6842.08 + 3950.27i −0.422589 + 0.243982i
\(641\) 11729.5i 0.722755i 0.932420 + 0.361377i \(0.117693\pi\)
−0.932420 + 0.361377i \(0.882307\pi\)
\(642\) −1435.06 8403.16i −0.0882201 0.516583i
\(643\) 18362.0 10601.3i 1.12617 0.650193i 0.183199 0.983076i \(-0.441355\pi\)
0.942968 + 0.332883i \(0.108021\pi\)
\(644\) 7115.71 + 15356.1i 0.435401 + 0.939620i
\(645\) −5282.13 1954.83i −0.322455 0.119336i
\(646\) 5885.87 + 10194.6i 0.358478 + 0.620901i
\(647\) −12408.1 21491.4i −0.753960 1.30590i −0.945890 0.324489i \(-0.894808\pi\)
0.191929 0.981409i \(-0.438526\pi\)
\(648\) 10534.6 + 13118.8i 0.638640 + 0.795302i
\(649\) 1778.96 + 1027.08i 0.107597 + 0.0621211i
\(650\) −902.771 + 1563.65i −0.0544763 + 0.0943557i
\(651\) −15855.2 + 10918.7i −0.954555 + 0.657356i
\(652\) 1926.29 + 3336.43i 0.115705 + 0.200406i
\(653\) 26713.1i 1.60086i 0.599425 + 0.800431i \(0.295396\pi\)
−0.599425 + 0.800431i \(0.704604\pi\)
\(654\) 1833.86 4955.24i 0.109648 0.296277i
\(655\) −767.396 −0.0457781
\(656\) 155.694 269.671i 0.00926654 0.0160501i
\(657\) −14872.3 + 17341.1i −0.883142 + 1.02974i
\(658\) −102.969 222.213i −0.00610053 0.0131653i
\(659\) −12459.7 7193.60i −0.736510 0.425224i 0.0842889 0.996441i \(-0.473138\pi\)
−0.820799 + 0.571217i \(0.806471\pi\)
\(660\) 1027.18 2775.53i 0.0605803 0.163693i
\(661\) 19590.0 + 11310.3i 1.15274 + 0.665535i 0.949554 0.313605i \(-0.101537\pi\)
0.203187 + 0.979140i \(0.434870\pi\)
\(662\) −400.414 231.179i −0.0235084 0.0135726i
\(663\) −6225.86 + 16822.8i −0.364695 + 0.985435i
\(664\) −6568.91 3792.56i −0.383920 0.221656i
\(665\) −8138.50 17563.4i −0.474583 1.02418i
\(666\) −4978.77 14151.8i −0.289675 0.823379i
\(667\) 1513.90 2622.15i 0.0878837 0.152219i
\(668\) −7480.37 −0.433270
\(669\) 3429.27 9266.16i 0.198181 0.535502i
\(670\) 5603.18i 0.323089i
\(671\) −1771.77 3068.79i −0.101935 0.176556i
\(672\) 13999.6 9640.87i 0.803642 0.553430i
\(673\) 8442.83 14623.4i 0.483577 0.837580i −0.516245 0.856441i \(-0.672671\pi\)
0.999822 + 0.0188612i \(0.00600406\pi\)
\(674\) 14239.5 + 8221.19i 0.813777 + 0.469834i
\(675\) 1254.44 + 2256.21i 0.0715310 + 0.128654i
\(676\) 1680.88 + 2911.36i 0.0956347 + 0.165644i
\(677\) −13397.9 23205.8i −0.760595 1.31739i −0.942544 0.334081i \(-0.891574\pi\)
0.181950 0.983308i \(-0.441759\pi\)
\(678\) −6556.84 2426.59i −0.371407 0.137452i
\(679\) −10813.4 23335.9i −0.611164 1.31893i
\(680\) 13199.3 7620.61i 0.744367 0.429761i
\(681\) 68.5960 + 401.672i 0.00385992 + 0.0226022i
\(682\) 4273.53i 0.239944i
\(683\) 12561.4 7252.31i 0.703730 0.406299i −0.105005 0.994472i \(-0.533486\pi\)
0.808735 + 0.588173i \(0.200153\pi\)
\(684\) 8353.65 9740.36i 0.466974 0.544491i
\(685\) 10728.7i 0.598427i
\(686\) 2908.46 + 11176.9i 0.161874 + 0.622061i
\(687\) −21808.7 + 3724.41i −1.21114 + 0.206834i
\(688\) 462.177 0.0256109
\(689\) 14363.5 24878.2i 0.794200 1.37560i
\(690\) −14609.6 + 12125.4i −0.806055 + 0.668992i
\(691\) −24782.4 + 14308.2i −1.36435 + 0.787710i −0.990200 0.139656i \(-0.955400\pi\)
−0.374154 + 0.927367i \(0.622067\pi\)
\(692\) −10612.8 −0.583002
\(693\) −1595.45 + 5655.00i −0.0874549 + 0.309979i
\(694\) −13114.3 −0.717310
\(695\) 17533.1 10122.7i 0.956932 0.552485i
\(696\) −1749.44 647.440i −0.0952763 0.0352603i
\(697\) 2262.04 3917.97i 0.122928 0.212918i
\(698\) 450.392 0.0244235
\(699\) 659.081 1780.89i 0.0356634 0.0963655i
\(700\) 1451.58 672.633i 0.0783780 0.0363188i
\(701\) 6936.34i 0.373726i −0.982386 0.186863i \(-0.940168\pi\)
0.982386 0.186863i \(-0.0598321\pi\)
\(702\) −13764.8 222.536i −0.740057 0.0119645i
\(703\) −26793.6 + 15469.3i −1.43747 + 0.829924i
\(704\) 4187.22i 0.224164i
\(705\) −300.277 + 249.217i −0.0160412 + 0.0133136i
\(706\) 3776.27 2180.23i 0.201306 0.116224i
\(707\) −23610.3 16617.0i −1.25595 0.883941i
\(708\) 3281.55 2723.55i 0.174192 0.144572i
\(709\) 7731.06 + 13390.6i 0.409515 + 0.709301i 0.994835 0.101501i \(-0.0323646\pi\)
−0.585320 + 0.810802i \(0.699031\pi\)
\(710\) −6656.60 11529.6i −0.351856 0.609432i
\(711\) 23302.2 + 19984.7i 1.22911 + 1.05413i
\(712\) 20239.8 + 11685.5i 1.06534 + 0.615072i
\(713\) 19469.9 33722.8i 1.02265 1.77129i
\(714\) −9216.47 + 6346.94i −0.483078 + 0.332672i
\(715\) 3273.98 + 5670.71i 0.171245 + 0.296605i
\(716\) 7222.35i 0.376972i
\(717\) −10733.3 12932.3i −0.559054 0.673593i
\(718\) 6694.90 0.347982
\(719\) −4003.14 + 6933.64i −0.207638 + 0.359640i −0.950970 0.309283i \(-0.899911\pi\)
0.743332 + 0.668923i \(0.233244\pi\)
\(720\) 931.560 + 798.937i 0.0482183 + 0.0413536i
\(721\) 11341.9 16115.2i 0.585845 0.832400i
\(722\) 5336.00 + 3080.74i 0.275049 + 0.158800i
\(723\) 13741.9 2346.78i 0.706867 0.120716i
\(724\) −1012.98 584.844i −0.0519987 0.0300215i
\(725\) −247.867 143.106i −0.0126973 0.00733078i
\(726\) 7197.23 + 8671.80i 0.367926 + 0.443307i
\(727\) 17033.8 + 9834.49i 0.868982 + 0.501707i 0.867010 0.498291i \(-0.166039\pi\)
0.00197210 + 0.999998i \(0.499372\pi\)
\(728\) −2066.03 + 22977.5i −0.105182 + 1.16978i
\(729\) −10387.4 + 16718.9i −0.527733 + 0.849410i
\(730\) −7941.16 + 13754.5i −0.402624 + 0.697365i
\(731\) 6714.85 0.339750
\(732\) −7251.55 + 1238.39i −0.366154 + 0.0625304i
\(733\) 11221.1i 0.565433i −0.959203 0.282717i \(-0.908764\pi\)
0.959203 0.282717i \(-0.0912356\pi\)
\(734\) 10135.3 + 17554.8i 0.509673 + 0.882779i
\(735\) 16029.2 9037.67i 0.804419 0.453551i
\(736\) −17191.2 + 29776.1i −0.860975 + 1.49125i
\(737\) 3037.62 + 1753.77i 0.151821 + 0.0876541i
\(738\) 3412.61 + 639.731i 0.170217 + 0.0319090i
\(739\) 8129.32 + 14080.4i 0.404657 + 0.700887i 0.994282 0.106791i \(-0.0340574\pi\)
−0.589624 + 0.807678i \(0.700724\pi\)
\(740\) 7406.88 + 12829.1i 0.367949 + 0.637306i
\(741\) 4779.29 + 27985.7i 0.236939 + 1.38742i
\(742\) 16260.3 7534.68i 0.804493 0.372786i
\(743\) −11556.7 + 6672.24i −0.570623 + 0.329449i −0.757398 0.652953i \(-0.773530\pi\)
0.186775 + 0.982403i \(0.440196\pi\)
\(744\) −22499.1 8326.56i −1.10868 0.410305i
\(745\) 24672.3i 1.21332i
\(746\) −15348.1 + 8861.23i −0.753262 + 0.434896i
\(747\) 1634.97 8721.64i 0.0800807 0.427186i
\(748\) 3528.36i 0.172473i
\(749\) −7026.56 15163.7i −0.342784 0.739747i
\(750\) 8932.63 + 10762.7i 0.434898 + 0.524000i
\(751\) −8382.88 −0.407318 −0.203659 0.979042i \(-0.565283\pi\)
−0.203659 + 0.979042i \(0.565283\pi\)
\(752\) 16.0107 27.7314i 0.000776397 0.00134476i
\(753\) −4133.69 24205.3i −0.200053 1.17144i
\(754\) 1321.83 763.156i 0.0638436 0.0368601i
\(755\) −16932.0 −0.816184
\(756\) 9860.60 + 7181.04i 0.474374 + 0.345465i
\(757\) −2701.73 −0.129717 −0.0648586 0.997894i \(-0.520660\pi\)
−0.0648586 + 0.997894i \(0.520660\pi\)
\(758\) −7185.59 + 4148.60i −0.344317 + 0.198791i
\(759\) −2000.71 11715.4i −0.0956802 0.560267i
\(760\) 12061.4 20890.9i 0.575674 0.997097i
\(761\) 3663.71 0.174520 0.0872598 0.996186i \(-0.472189\pi\)
0.0872598 + 0.996186i \(0.472189\pi\)
\(762\) 1157.52 + 1394.67i 0.0550296 + 0.0663040i
\(763\) 927.646 10316.9i 0.0440145 0.489510i
\(764\) 10096.3i 0.478102i
\(765\) 13534.4 + 11607.5i 0.639656 + 0.548590i
\(766\) −4964.84 + 2866.45i −0.234186 + 0.135208i
\(767\) 9435.38i 0.444187i
\(768\) 20671.7 + 7650.27i 0.971256 + 0.359447i
\(769\) −5627.29 + 3248.92i −0.263882 + 0.152352i −0.626104 0.779739i \(-0.715352\pi\)
0.362222 + 0.932092i \(0.382018\pi\)
\(770\) −365.821 + 4068.51i −0.0171212 + 0.190414i
\(771\) 3930.81 + 23017.3i 0.183612 + 1.07516i
\(772\) 5125.70 + 8877.97i 0.238961 + 0.413893i
\(773\) 19412.7 + 33623.7i 0.903266 + 1.56450i 0.823228 + 0.567