Properties

Label 63.4.h.a.25.16
Level $63$
Weight $4$
Character 63.25
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.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.16
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.16

$q$-expansion

\(f(q)\) \(=\) \(q+2.66292 q^{2} +(-4.74469 + 2.11846i) q^{3} -0.908849 q^{4} +(-9.61903 + 16.6607i) q^{5} +(-12.6348 + 5.64129i) q^{6} +(-5.55741 - 17.6668i) q^{7} -23.7236 q^{8} +(18.0243 - 20.1029i) q^{9} +O(q^{10})\) \(q+2.66292 q^{2} +(-4.74469 + 2.11846i) q^{3} -0.908849 q^{4} +(-9.61903 + 16.6607i) q^{5} +(-12.6348 + 5.64129i) q^{6} +(-5.55741 - 17.6668i) q^{7} -23.7236 q^{8} +(18.0243 - 20.1029i) q^{9} +(-25.6147 + 44.3660i) q^{10} +(19.2665 + 33.3705i) q^{11} +(4.31221 - 1.92536i) q^{12} +(38.2897 + 66.3197i) q^{13} +(-14.7989 - 47.0453i) q^{14} +(10.3445 - 99.4273i) q^{15} -55.9032 q^{16} +(-11.9353 + 20.6725i) q^{17} +(47.9972 - 53.5324i) q^{18} +(-23.6758 - 41.0076i) q^{19} +(8.74225 - 15.1420i) q^{20} +(63.7946 + 72.0503i) q^{21} +(51.3052 + 88.8631i) q^{22} +(6.76863 - 11.7236i) q^{23} +(112.561 - 50.2574i) q^{24} +(-122.552 - 212.266i) q^{25} +(101.962 + 176.604i) q^{26} +(-42.9325 + 133.566i) q^{27} +(5.05085 + 16.0564i) q^{28} +(-53.5137 + 92.6885i) q^{29} +(27.5465 - 264.767i) q^{30} -158.726 q^{31} +40.9227 q^{32} +(-162.108 - 117.518i) q^{33} +(-31.7827 + 55.0493i) q^{34} +(347.797 + 77.3473i) q^{35} +(-16.3813 + 18.2705i) q^{36} +(23.0136 + 39.8608i) q^{37} +(-63.0467 - 109.200i) q^{38} +(-322.168 - 233.551i) q^{39} +(228.198 - 395.250i) q^{40} +(101.261 + 175.388i) q^{41} +(169.880 + 191.864i) q^{42} +(-42.1121 + 72.9404i) q^{43} +(-17.5103 - 30.3288i) q^{44} +(161.551 + 493.666i) q^{45} +(18.0243 - 31.2191i) q^{46} +473.913 q^{47} +(265.244 - 118.429i) q^{48} +(-281.230 + 196.363i) q^{49} +(-326.345 - 565.247i) q^{50} +(12.8354 - 123.369i) q^{51} +(-34.7995 - 60.2745i) q^{52} +(-39.8744 + 69.0644i) q^{53} +(-114.326 + 355.675i) q^{54} -741.300 q^{55} +(131.842 + 419.119i) q^{56} +(199.207 + 144.413i) q^{57} +(-142.503 + 246.822i) q^{58} -316.961 q^{59} +(-9.40155 + 90.3643i) q^{60} -163.618 q^{61} -422.676 q^{62} +(-455.322 - 206.711i) q^{63} +556.200 q^{64} -1473.24 q^{65} +(-431.680 - 312.941i) q^{66} +540.006 q^{67} +(10.8474 - 18.7882i) q^{68} +(-7.27910 + 69.9641i) q^{69} +(926.156 + 205.970i) q^{70} +810.740 q^{71} +(-427.600 + 476.912i) q^{72} +(-142.174 + 246.252i) q^{73} +(61.2835 + 106.146i) q^{74} +(1031.15 + 747.515i) q^{75} +(21.5177 + 37.2697i) q^{76} +(482.478 - 525.831i) q^{77} +(-857.909 - 621.929i) q^{78} +734.280 q^{79} +(537.735 - 931.384i) q^{80} +(-79.2521 - 724.679i) q^{81} +(269.649 + 467.046i) q^{82} +(-290.772 + 503.632i) q^{83} +(-57.9796 - 65.4829i) q^{84} +(-229.612 - 397.699i) q^{85} +(-112.141 + 194.234i) q^{86} +(57.5495 - 553.145i) q^{87} +(-457.070 - 791.668i) q^{88} +(-463.951 - 803.586i) q^{89} +(430.198 + 1314.59i) q^{90} +(958.864 - 1045.02i) q^{91} +(-6.15166 + 10.6550i) q^{92} +(753.108 - 336.255i) q^{93} +1261.99 q^{94} +910.952 q^{95} +(-194.166 + 86.6930i) q^{96} +(-413.287 + 715.835i) q^{97} +(-748.894 + 522.900i) q^{98} +(1018.11 + 214.167i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.66292 0.941485 0.470742 0.882271i \(-0.343986\pi\)
0.470742 + 0.882271i \(0.343986\pi\)
\(3\) −4.74469 + 2.11846i −0.913117 + 0.407698i
\(4\) −0.908849 −0.113606
\(5\) −9.61903 + 16.6607i −0.860353 + 1.49017i 0.0112364 + 0.999937i \(0.496423\pi\)
−0.871589 + 0.490237i \(0.836910\pi\)
\(6\) −12.6348 + 5.64129i −0.859686 + 0.383841i
\(7\) −5.55741 17.6668i −0.300072 0.953917i
\(8\) −23.7236 −1.04844
\(9\) 18.0243 20.1029i 0.667565 0.744551i
\(10\) −25.6147 + 44.3660i −0.810009 + 1.40298i
\(11\) 19.2665 + 33.3705i 0.528097 + 0.914691i 0.999463 + 0.0327533i \(0.0104276\pi\)
−0.471367 + 0.881937i \(0.656239\pi\)
\(12\) 4.31221 1.92536i 0.103736 0.0463169i
\(13\) 38.2897 + 66.3197i 0.816896 + 1.41490i 0.907959 + 0.419060i \(0.137640\pi\)
−0.0910628 + 0.995845i \(0.529026\pi\)
\(14\) −14.7989 47.0453i −0.282513 0.898098i
\(15\) 10.3445 99.4273i 0.178062 1.71147i
\(16\) −55.9032 −0.873488
\(17\) −11.9353 + 20.6725i −0.170278 + 0.294931i −0.938517 0.345233i \(-0.887800\pi\)
0.768239 + 0.640163i \(0.221133\pi\)
\(18\) 47.9972 53.5324i 0.628503 0.700984i
\(19\) −23.6758 41.0076i −0.285873 0.495147i 0.686947 0.726707i \(-0.258950\pi\)
−0.972821 + 0.231560i \(0.925617\pi\)
\(20\) 8.74225 15.1420i 0.0977413 0.169293i
\(21\) 63.7946 + 72.0503i 0.662910 + 0.748699i
\(22\) 51.3052 + 88.8631i 0.497195 + 0.861168i
\(23\) 6.76863 11.7236i 0.0613634 0.106284i −0.833712 0.552200i \(-0.813788\pi\)
0.895075 + 0.445916i \(0.147122\pi\)
\(24\) 112.561 50.2574i 0.957351 0.427448i
\(25\) −122.552 212.266i −0.980413 1.69813i
\(26\) 101.962 + 176.604i 0.769095 + 1.33211i
\(27\) −42.9325 + 133.566i −0.306013 + 0.952027i
\(28\) 5.05085 + 16.0564i 0.0340900 + 0.108371i
\(29\) −53.5137 + 92.6885i −0.342664 + 0.593511i −0.984926 0.172974i \(-0.944662\pi\)
0.642263 + 0.766485i \(0.277996\pi\)
\(30\) 27.5465 264.767i 0.167643 1.61132i
\(31\) −158.726 −0.919616 −0.459808 0.888018i \(-0.652082\pi\)
−0.459808 + 0.888018i \(0.652082\pi\)
\(32\) 40.9227 0.226068
\(33\) −162.108 117.518i −0.855132 0.619916i
\(34\) −31.7827 + 55.0493i −0.160314 + 0.277673i
\(35\) 347.797 + 77.3473i 1.67967 + 0.373545i
\(36\) −16.3813 + 18.2705i −0.0758395 + 0.0845856i
\(37\) 23.0136 + 39.8608i 0.102254 + 0.177110i 0.912613 0.408824i \(-0.134061\pi\)
−0.810359 + 0.585934i \(0.800728\pi\)
\(38\) −63.0467 109.200i −0.269145 0.466174i
\(39\) −322.168 233.551i −1.32277 0.958927i
\(40\) 228.198 395.250i 0.902031 1.56236i
\(41\) 101.261 + 175.388i 0.385713 + 0.668075i 0.991868 0.127272i \(-0.0406221\pi\)
−0.606155 + 0.795347i \(0.707289\pi\)
\(42\) 169.880 + 191.864i 0.624120 + 0.704889i
\(43\) −42.1121 + 72.9404i −0.149350 + 0.258681i −0.930987 0.365052i \(-0.881051\pi\)
0.781638 + 0.623733i \(0.214385\pi\)
\(44\) −17.5103 30.3288i −0.0599950 0.103914i
\(45\) 161.551 + 493.666i 0.535170 + 1.63537i
\(46\) 18.0243 31.2191i 0.0577727 0.100065i
\(47\) 473.913 1.47079 0.735396 0.677637i \(-0.236996\pi\)
0.735396 + 0.677637i \(0.236996\pi\)
\(48\) 265.244 118.429i 0.797596 0.356119i
\(49\) −281.230 + 196.363i −0.819914 + 0.572487i
\(50\) −326.345 565.247i −0.923044 1.59876i
\(51\) 12.8354 123.369i 0.0352414 0.338728i
\(52\) −34.7995 60.2745i −0.0928043 0.160742i
\(53\) −39.8744 + 69.0644i −0.103343 + 0.178995i −0.913060 0.407825i \(-0.866287\pi\)
0.809717 + 0.586820i \(0.199621\pi\)
\(54\) −114.326 + 355.675i −0.288107 + 0.896319i
\(55\) −741.300 −1.81740
\(56\) 131.842 + 419.119i 0.314608 + 1.00013i
\(57\) 199.207 + 144.413i 0.462906 + 0.335577i
\(58\) −142.503 + 246.822i −0.322613 + 0.558782i
\(59\) −316.961 −0.699403 −0.349702 0.936861i \(-0.613717\pi\)
−0.349702 + 0.936861i \(0.613717\pi\)
\(60\) −9.40155 + 90.3643i −0.0202289 + 0.194433i
\(61\) −163.618 −0.343428 −0.171714 0.985147i \(-0.554931\pi\)
−0.171714 + 0.985147i \(0.554931\pi\)
\(62\) −422.676 −0.865805
\(63\) −455.322 206.711i −0.910557 0.413382i
\(64\) 556.200 1.08633
\(65\) −1473.24 −2.81127
\(66\) −431.680 312.941i −0.805093 0.583641i
\(67\) 540.006 0.984660 0.492330 0.870409i \(-0.336145\pi\)
0.492330 + 0.870409i \(0.336145\pi\)
\(68\) 10.8474 18.7882i 0.0193446 0.0335059i
\(69\) −7.27910 + 69.9641i −0.0127000 + 0.122068i
\(70\) 926.156 + 205.970i 1.58138 + 0.351687i
\(71\) 810.740 1.35517 0.677586 0.735444i \(-0.263026\pi\)
0.677586 + 0.735444i \(0.263026\pi\)
\(72\) −427.600 + 476.912i −0.699904 + 0.780620i
\(73\) −142.174 + 246.252i −0.227948 + 0.394817i −0.957200 0.289428i \(-0.906535\pi\)
0.729252 + 0.684245i \(0.239868\pi\)
\(74\) 61.2835 + 106.146i 0.0962710 + 0.166746i
\(75\) 1031.15 + 747.515i 1.58755 + 1.15087i
\(76\) 21.5177 + 37.2697i 0.0324770 + 0.0562517i
\(77\) 482.478 525.831i 0.714072 0.778233i
\(78\) −857.909 621.929i −1.24537 0.902816i
\(79\) 734.280 1.04573 0.522867 0.852414i \(-0.324862\pi\)
0.522867 + 0.852414i \(0.324862\pi\)
\(80\) 537.735 931.384i 0.751507 1.30165i
\(81\) −79.2521 724.679i −0.108713 0.994073i
\(82\) 269.649 + 467.046i 0.363143 + 0.628982i
\(83\) −290.772 + 503.632i −0.384534 + 0.666033i −0.991704 0.128539i \(-0.958971\pi\)
0.607170 + 0.794572i \(0.292305\pi\)
\(84\) −57.9796 65.4829i −0.0753107 0.0850567i
\(85\) −229.612 397.699i −0.292999 0.507489i
\(86\) −112.141 + 194.234i −0.140611 + 0.243545i
\(87\) 57.5495 553.145i 0.0709190 0.681648i
\(88\) −457.070 791.668i −0.553680 0.959001i
\(89\) −463.951 803.586i −0.552570 0.957079i −0.998088 0.0618059i \(-0.980314\pi\)
0.445519 0.895273i \(-0.353019\pi\)
\(90\) 430.198 + 1314.59i 0.503854 + 1.53967i
\(91\) 958.864 1045.02i 1.10457 1.20382i
\(92\) −6.15166 + 10.6550i −0.00697125 + 0.0120746i
\(93\) 753.108 336.255i 0.839717 0.374925i
\(94\) 1261.99 1.38473
\(95\) 910.952 0.983807
\(96\) −194.166 + 86.6930i −0.206427 + 0.0921674i
\(97\) −413.287 + 715.835i −0.432608 + 0.749299i −0.997097 0.0761416i \(-0.975740\pi\)
0.564489 + 0.825441i \(0.309073\pi\)
\(98\) −748.894 + 522.900i −0.771936 + 0.538988i
\(99\) 1018.11 + 214.167i 1.03357 + 0.217420i
\(100\) 111.381 + 192.917i 0.111381 + 0.192917i
\(101\) −253.848 439.678i −0.250087 0.433164i 0.713462 0.700694i \(-0.247126\pi\)
−0.963550 + 0.267530i \(0.913793\pi\)
\(102\) 34.1796 328.522i 0.0331793 0.318907i
\(103\) 472.189 817.855i 0.451710 0.782385i −0.546782 0.837275i \(-0.684147\pi\)
0.998492 + 0.0548896i \(0.0174807\pi\)
\(104\) −908.368 1573.34i −0.856469 1.48345i
\(105\) −1814.05 + 369.805i −1.68603 + 0.343707i
\(106\) −106.182 + 183.913i −0.0972956 + 0.168521i
\(107\) 278.011 + 481.529i 0.251181 + 0.435058i 0.963851 0.266441i \(-0.0858478\pi\)
−0.712670 + 0.701499i \(0.752514\pi\)
\(108\) 39.0191 121.391i 0.0347650 0.108156i
\(109\) −631.189 + 1093.25i −0.554651 + 0.960683i 0.443280 + 0.896383i \(0.353815\pi\)
−0.997931 + 0.0643000i \(0.979519\pi\)
\(110\) −1974.02 −1.71105
\(111\) −193.636 140.374i −0.165578 0.120033i
\(112\) 310.677 + 987.630i 0.262109 + 0.833234i
\(113\) −141.972 245.903i −0.118191 0.204713i 0.800860 0.598852i \(-0.204376\pi\)
−0.919051 + 0.394139i \(0.871043\pi\)
\(114\) 530.473 + 384.559i 0.435819 + 0.315941i
\(115\) 130.215 + 225.540i 0.105588 + 0.182884i
\(116\) 48.6359 84.2398i 0.0389287 0.0674265i
\(117\) 2023.36 + 425.630i 1.59880 + 0.336320i
\(118\) −844.042 −0.658477
\(119\) 431.546 + 95.9723i 0.332435 + 0.0739308i
\(120\) −245.407 + 2358.77i −0.186688 + 1.79438i
\(121\) −76.8955 + 133.187i −0.0577727 + 0.100065i
\(122\) −435.701 −0.323332
\(123\) −852.003 617.648i −0.624574 0.452776i
\(124\) 144.258 0.104474
\(125\) 2310.55 1.65330
\(126\) −1212.49 550.454i −0.857276 0.389193i
\(127\) 172.480 0.120513 0.0602564 0.998183i \(-0.480808\pi\)
0.0602564 + 0.998183i \(0.480808\pi\)
\(128\) 1153.73 0.796693
\(129\) 45.2881 435.293i 0.0309100 0.297096i
\(130\) −3923.12 −2.64677
\(131\) −227.578 + 394.177i −0.151783 + 0.262896i −0.931883 0.362759i \(-0.881835\pi\)
0.780100 + 0.625655i \(0.215168\pi\)
\(132\) 147.331 + 106.806i 0.0971482 + 0.0704262i
\(133\) −592.897 + 646.171i −0.386546 + 0.421279i
\(134\) 1437.99 0.927042
\(135\) −1812.32 2000.06i −1.15541 1.27509i
\(136\) 283.147 490.426i 0.178527 0.309218i
\(137\) 1251.87 + 2168.29i 0.780687 + 1.35219i 0.931542 + 0.363633i \(0.118464\pi\)
−0.150855 + 0.988556i \(0.548203\pi\)
\(138\) −19.3837 + 186.309i −0.0119569 + 0.114925i
\(139\) −1315.86 2279.14i −0.802950 1.39075i −0.917667 0.397351i \(-0.869929\pi\)
0.114717 0.993398i \(-0.463404\pi\)
\(140\) −316.095 70.2970i −0.190821 0.0424370i
\(141\) −2248.57 + 1003.96i −1.34301 + 0.599639i
\(142\) 2158.94 1.27587
\(143\) −1475.42 + 2555.49i −0.862800 + 1.49441i
\(144\) −1007.61 + 1123.82i −0.583110 + 0.650356i
\(145\) −1029.50 1783.15i −0.589623 1.02126i
\(146\) −378.598 + 655.750i −0.214609 + 0.371714i
\(147\) 918.365 1527.46i 0.515275 0.857025i
\(148\) −20.9159 36.2274i −0.0116167 0.0201208i
\(149\) −570.606 + 988.318i −0.313730 + 0.543397i −0.979167 0.203058i \(-0.934912\pi\)
0.665436 + 0.746455i \(0.268245\pi\)
\(150\) 2745.86 + 1990.57i 1.49466 + 1.08353i
\(151\) −542.971 940.453i −0.292625 0.506841i 0.681805 0.731534i \(-0.261195\pi\)
−0.974430 + 0.224693i \(0.927862\pi\)
\(152\) 561.674 + 972.847i 0.299722 + 0.519134i
\(153\) 200.453 + 612.540i 0.105919 + 0.323666i
\(154\) 1284.80 1400.25i 0.672288 0.732695i
\(155\) 1526.79 2644.49i 0.791194 1.37039i
\(156\) 292.802 + 212.263i 0.150275 + 0.108940i
\(157\) 1492.80 0.758842 0.379421 0.925224i \(-0.376123\pi\)
0.379421 + 0.925224i \(0.376123\pi\)
\(158\) 1955.33 0.984543
\(159\) 42.8815 412.162i 0.0213882 0.205576i
\(160\) −393.637 + 681.799i −0.194498 + 0.336881i
\(161\) −244.735 54.4270i −0.119800 0.0266425i
\(162\) −211.042 1929.76i −0.102352 0.935905i
\(163\) −385.638 667.945i −0.185310 0.320966i 0.758371 0.651823i \(-0.225996\pi\)
−0.943681 + 0.330857i \(0.892662\pi\)
\(164\) −92.0305 159.402i −0.0438194 0.0758974i
\(165\) 3517.24 1570.41i 1.65950 0.740949i
\(166\) −774.303 + 1341.13i −0.362033 + 0.627060i
\(167\) 1031.30 + 1786.26i 0.477870 + 0.827695i 0.999678 0.0253680i \(-0.00807574\pi\)
−0.521808 + 0.853063i \(0.674742\pi\)
\(168\) −1513.43 1709.29i −0.695024 0.784968i
\(169\) −1833.70 + 3176.06i −0.834637 + 1.44563i
\(170\) −611.438 1059.04i −0.275854 0.477793i
\(171\) −1251.11 263.181i −0.559502 0.117696i
\(172\) 38.2736 66.2918i 0.0169670 0.0293878i
\(173\) −1110.43 −0.488002 −0.244001 0.969775i \(-0.578460\pi\)
−0.244001 + 0.969775i \(0.578460\pi\)
\(174\) 153.250 1472.98i 0.0667692 0.641761i
\(175\) −3068.98 + 3344.74i −1.32568 + 1.44479i
\(176\) −1077.06 1865.52i −0.461286 0.798971i
\(177\) 1503.88 671.469i 0.638637 0.285145i
\(178\) −1235.46 2139.89i −0.520236 0.901075i
\(179\) −435.084 + 753.588i −0.181674 + 0.314669i −0.942451 0.334345i \(-0.891485\pi\)
0.760776 + 0.649014i \(0.224818\pi\)
\(180\) −146.826 448.668i −0.0607986 0.185787i
\(181\) 3184.95 1.30793 0.653965 0.756525i \(-0.273104\pi\)
0.653965 + 0.756525i \(0.273104\pi\)
\(182\) 2553.38 2782.81i 1.03994 1.13338i
\(183\) 776.316 346.618i 0.313590 0.140015i
\(184\) −160.576 + 278.126i −0.0643360 + 0.111433i
\(185\) −885.475 −0.351900
\(186\) 2005.47 895.422i 0.790581 0.352987i
\(187\) −919.804 −0.359694
\(188\) −430.715 −0.167091
\(189\) 2598.27 + 16.1989i 0.999981 + 0.00623438i
\(190\) 2425.79 0.926240
\(191\) −1653.25 −0.626307 −0.313154 0.949702i \(-0.601386\pi\)
−0.313154 + 0.949702i \(0.601386\pi\)
\(192\) −2639.00 + 1178.29i −0.991944 + 0.442893i
\(193\) 3942.30 1.47033 0.735163 0.677890i \(-0.237106\pi\)
0.735163 + 0.677890i \(0.237106\pi\)
\(194\) −1100.55 + 1906.21i −0.407294 + 0.705454i
\(195\) 6990.07 3121.00i 2.56702 1.14615i
\(196\) 255.596 178.464i 0.0931472 0.0650380i
\(197\) −3496.55 −1.26456 −0.632282 0.774739i \(-0.717881\pi\)
−0.632282 + 0.774739i \(0.717881\pi\)
\(198\) 2711.14 + 570.311i 0.973094 + 0.204698i
\(199\) −1973.40 + 3418.03i −0.702967 + 1.21757i 0.264453 + 0.964399i \(0.414809\pi\)
−0.967420 + 0.253176i \(0.918525\pi\)
\(200\) 2907.36 + 5035.70i 1.02791 + 1.78039i
\(201\) −2562.16 + 1143.98i −0.899109 + 0.401443i
\(202\) −675.978 1170.83i −0.235454 0.407818i
\(203\) 1934.90 + 430.307i 0.668984 + 0.148777i
\(204\) −11.6654 + 112.124i −0.00400364 + 0.0384816i
\(205\) −3896.11 −1.32740
\(206\) 1257.40 2177.88i 0.425279 0.736604i
\(207\) −113.679 347.379i −0.0381702 0.116640i
\(208\) −2140.52 3707.48i −0.713548 1.23590i
\(209\) 912.298 1580.15i 0.301938 0.522971i
\(210\) −4830.67 + 984.761i −1.58737 + 0.323595i
\(211\) 1598.96 + 2769.47i 0.521690 + 0.903594i 0.999682 + 0.0252296i \(0.00803168\pi\)
−0.477991 + 0.878365i \(0.658635\pi\)
\(212\) 36.2398 62.7691i 0.0117404 0.0203349i
\(213\) −3846.71 + 1717.52i −1.23743 + 0.552500i
\(214\) 740.321 + 1282.27i 0.236483 + 0.409600i
\(215\) −810.156 1403.23i −0.256987 0.445114i
\(216\) 1018.51 3168.66i 0.320838 0.998147i
\(217\) 882.108 + 2804.18i 0.275951 + 0.877237i
\(218\) −1680.81 + 2911.24i −0.522195 + 0.904469i
\(219\) 152.896 1469.58i 0.0471769 0.453448i
\(220\) 673.730 0.206468
\(221\) −1827.99 −0.556398
\(222\) −515.637 373.804i −0.155889 0.113009i
\(223\) 2680.89 4643.44i 0.805049 1.39439i −0.111209 0.993797i \(-0.535472\pi\)
0.916258 0.400589i \(-0.131194\pi\)
\(224\) −227.424 722.972i −0.0678367 0.215650i
\(225\) −6476.05 1362.29i −1.91883 0.403641i
\(226\) −378.060 654.820i −0.111275 0.192734i
\(227\) −1255.02 2173.75i −0.366953 0.635581i 0.622134 0.782910i \(-0.286266\pi\)
−0.989088 + 0.147329i \(0.952932\pi\)
\(228\) −181.049 131.249i −0.0525890 0.0381236i
\(229\) 2392.76 4144.37i 0.690471 1.19593i −0.281213 0.959645i \(-0.590737\pi\)
0.971684 0.236285i \(-0.0759298\pi\)
\(230\) 346.753 + 600.595i 0.0994098 + 0.172183i
\(231\) −1175.26 + 3517.02i −0.334747 + 1.00174i
\(232\) 1269.54 2198.90i 0.359263 0.622263i
\(233\) 893.277 + 1547.20i 0.251161 + 0.435023i 0.963846 0.266461i \(-0.0858543\pi\)
−0.712685 + 0.701484i \(0.752521\pi\)
\(234\) 5388.05 + 1133.42i 1.50525 + 0.316641i
\(235\) −4558.58 + 7895.69i −1.26540 + 2.19174i
\(236\) 288.069 0.0794564
\(237\) −3483.94 + 1555.54i −0.954878 + 0.426343i
\(238\) 1149.17 + 255.567i 0.312982 + 0.0696048i
\(239\) 937.308 + 1623.46i 0.253679 + 0.439386i 0.964536 0.263951i \(-0.0850258\pi\)
−0.710857 + 0.703337i \(0.751692\pi\)
\(240\) −578.288 + 5558.30i −0.155535 + 1.49495i
\(241\) −281.293 487.214i −0.0751854 0.130225i 0.825981 0.563697i \(-0.190622\pi\)
−0.901167 + 0.433472i \(0.857288\pi\)
\(242\) −204.767 + 354.666i −0.0543921 + 0.0942100i
\(243\) 1911.23 + 3270.49i 0.504549 + 0.863383i
\(244\) 148.704 0.0390155
\(245\) −566.374 6574.31i −0.147691 1.71436i
\(246\) −2268.82 1644.75i −0.588027 0.426282i
\(247\) 1813.07 3140.34i 0.467057 0.808967i
\(248\) 3765.56 0.964165
\(249\) 312.701 3005.57i 0.0795847 0.764940i
\(250\) 6152.82 1.55656
\(251\) −6593.47 −1.65807 −0.829037 0.559194i \(-0.811111\pi\)
−0.829037 + 0.559194i \(0.811111\pi\)
\(252\) 413.818 + 187.869i 0.103445 + 0.0469628i
\(253\) 521.631 0.129623
\(254\) 459.301 0.113461
\(255\) 1931.95 + 1400.54i 0.474444 + 0.343942i
\(256\) −1377.29 −0.336253
\(257\) −2442.63 + 4230.77i −0.592869 + 1.02688i 0.400975 + 0.916089i \(0.368671\pi\)
−0.993844 + 0.110790i \(0.964662\pi\)
\(258\) 120.599 1159.15i 0.0291013 0.279711i
\(259\) 576.315 628.099i 0.138264 0.150688i
\(260\) 1338.95 0.319378
\(261\) 898.761 + 2746.42i 0.213149 + 0.651338i
\(262\) −606.022 + 1049.66i −0.142901 + 0.247513i
\(263\) 19.9711 + 34.5909i 0.00468239 + 0.00811013i 0.868357 0.495939i \(-0.165176\pi\)
−0.863675 + 0.504050i \(0.831843\pi\)
\(264\) 3845.77 + 2787.94i 0.896557 + 0.649947i
\(265\) −767.105 1328.67i −0.177822 0.307997i
\(266\) −1578.84 + 1720.70i −0.363928 + 0.396628i
\(267\) 3903.67 + 2829.91i 0.894759 + 0.648643i
\(268\) −490.784 −0.111863
\(269\) −1115.50 + 1932.11i −0.252838 + 0.437929i −0.964306 0.264790i \(-0.914697\pi\)
0.711468 + 0.702719i \(0.248031\pi\)
\(270\) −4826.08 5325.99i −1.08780 1.20048i
\(271\) −2599.35 4502.21i −0.582654 1.00919i −0.995163 0.0982333i \(-0.968681\pi\)
0.412509 0.910953i \(-0.364652\pi\)
\(272\) 667.220 1155.66i 0.148736 0.257618i
\(273\) −2335.68 + 6989.62i −0.517809 + 1.54956i
\(274\) 3333.62 + 5774.00i 0.735005 + 1.27307i
\(275\) 4722.28 8179.23i 1.03551 1.79355i
\(276\) 6.61560 63.5868i 0.00144280 0.0138677i
\(277\) −1125.10 1948.73i −0.244046 0.422700i 0.717817 0.696232i \(-0.245141\pi\)
−0.961863 + 0.273532i \(0.911808\pi\)
\(278\) −3504.04 6069.17i −0.755965 1.30937i
\(279\) −2860.93 + 3190.86i −0.613904 + 0.684701i
\(280\) −8250.99 1834.95i −1.76104 0.391641i
\(281\) 867.011 1501.71i 0.184062 0.318805i −0.759198 0.650860i \(-0.774408\pi\)
0.943260 + 0.332055i \(0.107742\pi\)
\(282\) −5987.77 + 2673.48i −1.26442 + 0.564551i
\(283\) 1607.03 0.337555 0.168777 0.985654i \(-0.446018\pi\)
0.168777 + 0.985654i \(0.446018\pi\)
\(284\) −736.840 −0.153956
\(285\) −4322.19 + 1929.81i −0.898331 + 0.401096i
\(286\) −3928.92 + 6805.08i −0.812313 + 1.40697i
\(287\) 2535.80 2763.65i 0.521546 0.568409i
\(288\) 737.601 822.664i 0.150915 0.168319i
\(289\) 2171.60 + 3761.32i 0.442011 + 0.765585i
\(290\) −2741.48 4748.38i −0.555121 0.961498i
\(291\) 444.456 4271.95i 0.0895342 0.860571i
\(292\) 129.215 223.806i 0.0258963 0.0448536i
\(293\) 3545.89 + 6141.66i 0.707007 + 1.22457i 0.965962 + 0.258683i \(0.0832885\pi\)
−0.258955 + 0.965889i \(0.583378\pi\)
\(294\) 2445.53 4067.50i 0.485124 0.806876i
\(295\) 3048.86 5280.77i 0.601733 1.04223i
\(296\) −545.965 945.639i −0.107208 0.185690i
\(297\) −5284.32 + 1140.66i −1.03242 + 0.222855i
\(298\) −1519.48 + 2631.81i −0.295372 + 0.511600i
\(299\) 1036.68 0.200510
\(300\) −937.156 679.378i −0.180356 0.130746i
\(301\) 1522.66 + 338.626i 0.291576 + 0.0648442i
\(302\) −1445.89 2504.35i −0.275502 0.477183i
\(303\) 2135.87 + 1548.37i 0.404959 + 0.293569i
\(304\) 1323.55 + 2292.46i 0.249707 + 0.432505i
\(305\) 1573.84 2725.98i 0.295469 0.511768i
\(306\) 533.789 + 1631.15i 0.0997213 + 0.304727i
\(307\) 7225.91 1.34334 0.671669 0.740852i \(-0.265578\pi\)
0.671669 + 0.740852i \(0.265578\pi\)
\(308\) −438.500 + 477.901i −0.0811229 + 0.0884121i
\(309\) −507.800 + 4880.79i −0.0934877 + 0.898571i
\(310\) 4065.73 7042.06i 0.744897 1.29020i
\(311\) 4633.27 0.844786 0.422393 0.906413i \(-0.361190\pi\)
0.422393 + 0.906413i \(0.361190\pi\)
\(312\) 7642.98 + 5540.67i 1.38685 + 1.00538i
\(313\) 8008.26 1.44618 0.723089 0.690755i \(-0.242722\pi\)
0.723089 + 0.690755i \(0.242722\pi\)
\(314\) 3975.20 0.714438
\(315\) 7823.69 5597.60i 1.39941 1.00123i
\(316\) −667.350 −0.118802
\(317\) 5154.21 0.913215 0.456607 0.889668i \(-0.349064\pi\)
0.456607 + 0.889668i \(0.349064\pi\)
\(318\) 114.190 1097.55i 0.0201367 0.193547i
\(319\) −4124.09 −0.723839
\(320\) −5350.10 + 9266.65i −0.934624 + 1.61882i
\(321\) −2339.18 1695.75i −0.406729 0.294853i
\(322\) −651.709 144.935i −0.112790 0.0250836i
\(323\) 1130.31 0.194712
\(324\) 72.0282 + 658.624i 0.0123505 + 0.112933i
\(325\) 9384.92 16255.2i 1.60179 2.77438i
\(326\) −1026.92 1778.68i −0.174466 0.302185i
\(327\) 678.790 6524.29i 0.114793 1.10335i
\(328\) −2402.26 4160.84i −0.404398 0.700439i
\(329\) −2633.73 8372.51i −0.441344 1.40301i
\(330\) 9366.14 4181.89i 1.56239 0.697592i
\(331\) −6323.45 −1.05005 −0.525027 0.851085i \(-0.675945\pi\)
−0.525027 + 0.851085i \(0.675945\pi\)
\(332\) 264.268 457.725i 0.0436855 0.0756654i
\(333\) 1216.12 + 255.820i 0.200129 + 0.0420987i
\(334\) 2746.27 + 4756.67i 0.449907 + 0.779262i
\(335\) −5194.33 + 8996.85i −0.847154 + 1.46731i
\(336\) −3566.32 4027.84i −0.579044 0.653979i
\(337\) −2395.95 4149.91i −0.387287 0.670801i 0.604797 0.796380i \(-0.293254\pi\)
−0.992084 + 0.125579i \(0.959921\pi\)
\(338\) −4883.00 + 8457.60i −0.785799 + 1.36104i
\(339\) 1194.55 + 865.972i 0.191383 + 0.138741i
\(340\) 208.682 + 361.448i 0.0332864 + 0.0576538i
\(341\) −3058.10 5296.79i −0.485646 0.841164i
\(342\) −3331.61 700.830i −0.526762 0.110809i
\(343\) 5032.02 + 3877.16i 0.792138 + 0.610342i
\(344\) 999.050 1730.41i 0.156585 0.271213i
\(345\) −1095.63 794.261i −0.170976 0.123947i
\(346\) −2956.98 −0.459446
\(347\) 6358.03 0.983622 0.491811 0.870702i \(-0.336335\pi\)
0.491811 + 0.870702i \(0.336335\pi\)
\(348\) −52.3038 + 502.725i −0.00805683 + 0.0774394i
\(349\) −1420.34 + 2460.10i −0.217848 + 0.377324i −0.954150 0.299330i \(-0.903237\pi\)
0.736302 + 0.676653i \(0.236570\pi\)
\(350\) −8172.46 + 8906.78i −1.24810 + 1.36025i
\(351\) −10501.9 + 2266.92i −1.59701 + 0.344727i
\(352\) 788.436 + 1365.61i 0.119386 + 0.206782i
\(353\) 3058.63 + 5297.71i 0.461174 + 0.798777i 0.999020 0.0442661i \(-0.0140949\pi\)
−0.537845 + 0.843043i \(0.680762\pi\)
\(354\) 4004.72 1788.07i 0.601267 0.268460i
\(355\) −7798.54 + 13507.5i −1.16592 + 2.01944i
\(356\) 421.661 + 730.339i 0.0627753 + 0.108730i
\(357\) −2250.87 + 458.853i −0.333693 + 0.0680254i
\(358\) −1158.60 + 2006.75i −0.171044 + 0.296257i
\(359\) 1590.78 + 2755.32i 0.233867 + 0.405070i 0.958943 0.283599i \(-0.0915286\pi\)
−0.725076 + 0.688669i \(0.758195\pi\)
\(360\) −3832.57 11711.5i −0.561095 1.71459i
\(361\) 2308.42 3998.29i 0.336553 0.582927i
\(362\) 8481.27 1.23140
\(363\) 82.6946 794.831i 0.0119569 0.114925i
\(364\) −871.462 + 949.766i −0.125486 + 0.136762i
\(365\) −2735.15 4737.42i −0.392231 0.679364i
\(366\) 2067.27 923.016i 0.295240 0.131822i
\(367\) 3887.55 + 6733.43i 0.552938 + 0.957717i 0.998061 + 0.0622476i \(0.0198268\pi\)
−0.445122 + 0.895470i \(0.646840\pi\)
\(368\) −378.388 + 655.388i −0.0536001 + 0.0928382i
\(369\) 5350.96 + 1125.62i 0.754905 + 0.158800i
\(370\) −2357.95 −0.331308
\(371\) 1441.74 + 320.632i 0.201756 + 0.0448690i
\(372\) −684.461 + 305.605i −0.0953970 + 0.0425938i
\(373\) −1257.99 + 2178.89i −0.174627 + 0.302464i −0.940032 0.341086i \(-0.889205\pi\)
0.765405 + 0.643549i \(0.222539\pi\)
\(374\) −2449.37 −0.338646
\(375\) −10962.9 + 4894.82i −1.50965 + 0.674046i
\(376\) −11242.9 −1.54204
\(377\) −8196.09 −1.11968
\(378\) 6918.99 + 43.1365i 0.941467 + 0.00586958i
\(379\) −12868.6 −1.74410 −0.872052 0.489413i \(-0.837211\pi\)
−0.872052 + 0.489413i \(0.837211\pi\)
\(380\) −827.918 −0.111767
\(381\) −818.365 + 365.392i −0.110042 + 0.0491328i
\(382\) −4402.47 −0.589659
\(383\) 359.587 622.823i 0.0479740 0.0830934i −0.841041 0.540971i \(-0.818057\pi\)
0.889015 + 0.457878i \(0.151390\pi\)
\(384\) −5474.12 + 2444.14i −0.727474 + 0.324810i
\(385\) 4119.71 + 13096.4i 0.545350 + 1.73365i
\(386\) 10498.0 1.38429
\(387\) 707.272 + 2161.27i 0.0929009 + 0.283885i
\(388\) 375.616 650.586i 0.0491469 0.0851249i
\(389\) −7115.98 12325.2i −0.927492 1.60646i −0.787504 0.616310i \(-0.788627\pi\)
−0.139988 0.990153i \(-0.544706\pi\)
\(390\) 18614.0 8310.97i 2.41681 1.07908i
\(391\) 161.571 + 279.849i 0.0208977 + 0.0361959i
\(392\) 6671.79 4658.43i 0.859633 0.600220i
\(393\) 244.741 2352.36i 0.0314136 0.301936i
\(394\) −9311.04 −1.19057
\(395\) −7063.07 + 12233.6i −0.899700 + 1.55833i
\(396\) −925.307 194.646i −0.117420 0.0247003i
\(397\) 2702.76 + 4681.33i 0.341682 + 0.591811i 0.984745 0.174002i \(-0.0556700\pi\)
−0.643063 + 0.765813i \(0.722337\pi\)
\(398\) −5255.00 + 9101.93i −0.661833 + 1.14633i
\(399\) 1444.23 4321.91i 0.181208 0.542271i
\(400\) 6851.03 + 11866.3i 0.856379 + 1.48329i
\(401\) 841.709 1457.88i 0.104820 0.181554i −0.808844 0.588023i \(-0.799907\pi\)
0.913665 + 0.406469i \(0.133240\pi\)
\(402\) −6822.84 + 3046.33i −0.846498 + 0.377953i
\(403\) −6077.58 10526.7i −0.751230 1.30117i
\(404\) 230.710 + 399.601i 0.0284115 + 0.0492101i
\(405\) 12836.0 + 5650.32i 1.57487 + 0.693251i
\(406\) 5152.50 + 1145.87i 0.629838 + 0.140071i
\(407\) −886.783 + 1535.95i −0.108001 + 0.187062i
\(408\) −304.501 + 2926.76i −0.0369487 + 0.355137i
\(409\) −11701.9 −1.41472 −0.707362 0.706851i \(-0.750115\pi\)
−0.707362 + 0.706851i \(0.750115\pi\)
\(410\) −10375.0 −1.24972
\(411\) −10533.2 7635.87i −1.26414 0.916423i
\(412\) −429.148 + 743.307i −0.0513171 + 0.0888837i
\(413\) 1761.48 + 5599.68i 0.209871 + 0.667172i
\(414\) −302.718 925.042i −0.0359367 0.109815i
\(415\) −5593.89 9688.90i −0.661670 1.14605i
\(416\) 1566.92 + 2713.98i 0.184674 + 0.319865i
\(417\) 11071.6 + 8026.22i 1.30019 + 0.942556i
\(418\) 2429.38 4207.81i 0.284270 0.492370i
\(419\) −5277.63 9141.12i −0.615344 1.06581i −0.990324 0.138774i \(-0.955684\pi\)
0.374981 0.927033i \(-0.377649\pi\)
\(420\) 1648.70 336.097i 0.191543 0.0390472i
\(421\) 7641.05 13234.7i 0.884565 1.53211i 0.0383539 0.999264i \(-0.487789\pi\)
0.846211 0.532848i \(-0.178878\pi\)
\(422\) 4257.89 + 7374.89i 0.491164 + 0.850720i
\(423\) 8541.92 9527.01i 0.981850 1.09508i
\(424\) 945.962 1638.45i 0.108349 0.187666i
\(425\) 5850.75 0.667772
\(426\) −10243.5 + 4573.62i −1.16502 + 0.520171i
\(427\) 909.291 + 2890.60i 0.103053 + 0.327602i
\(428\) −252.670 437.637i −0.0285357 0.0494252i
\(429\) 1586.69 15250.6i 0.178568 1.71634i
\(430\) −2157.38 3736.70i −0.241949 0.419068i
\(431\) 59.6758 103.361i 0.00666933 0.0115516i −0.862671 0.505765i \(-0.831210\pi\)
0.869341 + 0.494213i \(0.164544\pi\)
\(432\) 2400.06 7466.75i 0.267299 0.831584i
\(433\) 1042.52 0.115705 0.0578524 0.998325i \(-0.481575\pi\)
0.0578524 + 0.998325i \(0.481575\pi\)
\(434\) 2348.98 + 7467.32i 0.259804 + 0.825905i
\(435\) 8662.19 + 6279.53i 0.954759 + 0.692139i
\(436\) 573.655 993.600i 0.0630117 0.109139i
\(437\) −641.010 −0.0701686
\(438\) 407.150 3913.38i 0.0444164 0.426914i
\(439\) 14579.3 1.58504 0.792522 0.609844i \(-0.208768\pi\)
0.792522 + 0.609844i \(0.208768\pi\)
\(440\) 17586.3 1.90544
\(441\) −1121.50 + 9192.84i −0.121100 + 0.992640i
\(442\) −4867.80 −0.523841
\(443\) −5871.70 −0.629736 −0.314868 0.949136i \(-0.601960\pi\)
−0.314868 + 0.949136i \(0.601960\pi\)
\(444\) 175.986 + 127.578i 0.0188106 + 0.0136365i
\(445\) 17851.0 1.90162
\(446\) 7139.01 12365.1i 0.757941 1.31279i
\(447\) 613.638 5898.07i 0.0649309 0.624092i
\(448\) −3091.03 9826.26i −0.325976 1.03627i
\(449\) 16954.0 1.78198 0.890988 0.454028i \(-0.150013\pi\)
0.890988 + 0.454028i \(0.150013\pi\)
\(450\) −17245.2 3627.67i −1.80655 0.380022i
\(451\) −3901.87 + 6758.24i −0.407388 + 0.705616i
\(452\) 129.031 + 223.488i 0.0134272 + 0.0232567i
\(453\) 4568.54 + 3311.90i 0.473838 + 0.343503i
\(454\) −3342.01 5788.53i −0.345481 0.598390i
\(455\) 8187.39 + 26027.4i 0.843584 + 2.68172i
\(456\) −4725.91 3425.98i −0.485331 0.351834i
\(457\) −5025.62 −0.514417 −0.257209 0.966356i \(-0.582803\pi\)
−0.257209 + 0.966356i \(0.582803\pi\)
\(458\) 6371.72 11036.1i 0.650068 1.12595i
\(459\) −2248.73 2481.67i −0.228675 0.252362i
\(460\) −118.346 204.982i −0.0119955 0.0207768i
\(461\) 8888.84 15395.9i 0.898035 1.55544i 0.0680332 0.997683i \(-0.478328\pi\)
0.830002 0.557760i \(-0.188339\pi\)
\(462\) −3129.63 + 9365.54i −0.315159 + 0.943126i
\(463\) −8803.12 15247.5i −0.883620 1.53047i −0.847288 0.531134i \(-0.821766\pi\)
−0.0363318 0.999340i \(-0.511567\pi\)
\(464\) 2991.59 5181.58i 0.299312 0.518424i
\(465\) −1641.94 + 15781.7i −0.163749 + 1.57389i
\(466\) 2378.73 + 4120.07i 0.236464 + 0.409568i
\(467\) 2197.60 + 3806.35i 0.217757 + 0.377167i 0.954122 0.299418i \(-0.0967925\pi\)
−0.736365 + 0.676585i \(0.763459\pi\)
\(468\) −1838.93 386.833i −0.181634 0.0382081i
\(469\) −3001.03 9540.16i −0.295469 0.939283i
\(470\) −12139.1 + 21025.6i −1.19136 + 2.06349i
\(471\) −7082.87 + 3162.43i −0.692911 + 0.309378i
\(472\) 7519.44 0.733284
\(473\) −3245.41 −0.315485
\(474\) −9277.45 + 4142.29i −0.899003 + 0.401396i
\(475\) −5803.01 + 10051.1i −0.560548 + 0.970897i
\(476\) −392.210 87.2243i −0.0377666 0.00839899i
\(477\) 669.688 + 2046.42i 0.0642828 + 0.196435i
\(478\) 2495.98 + 4323.16i 0.238835 + 0.413675i
\(479\) −3348.19 5799.23i −0.319379 0.553181i 0.660980 0.750404i \(-0.270141\pi\)
−0.980359 + 0.197223i \(0.936808\pi\)
\(480\) 423.323 4068.83i 0.0402541 0.386908i
\(481\) −1762.37 + 3052.51i −0.167062 + 0.289361i
\(482\) −749.061 1297.41i −0.0707859 0.122605i
\(483\) 1276.49 260.221i 0.120253 0.0245144i
\(484\) 69.8864 121.047i 0.00656333 0.0113680i
\(485\) −7950.85 13771.3i −0.744391 1.28932i
\(486\) 5089.46 + 8709.06i 0.475026 + 0.812862i
\(487\) −1197.75 + 2074.56i −0.111448 + 0.193034i −0.916354 0.400368i \(-0.868882\pi\)
0.804906 + 0.593402i \(0.202216\pi\)
\(488\) 3881.60 0.360065
\(489\) 3244.75 + 2352.24i 0.300067 + 0.217529i
\(490\) −1508.21 17506.9i −0.139049 1.61404i
\(491\) −4479.85 7759.33i −0.411757 0.713185i 0.583325 0.812239i \(-0.301752\pi\)
−0.995082 + 0.0990544i \(0.968418\pi\)
\(492\) 774.342 + 561.349i 0.0709554 + 0.0514381i
\(493\) −1277.40 2212.53i −0.116696 0.202124i
\(494\) 4828.08 8362.47i 0.439728 0.761630i
\(495\) −13361.4 + 14902.3i −1.21323 + 1.35315i
\(496\) 8873.31 0.803273
\(497\) −4505.62 14323.2i −0.406649 1.29272i
\(498\) 832.697 8003.59i 0.0749278 0.720180i
\(499\) −5700.45 + 9873.47i −0.511397 + 0.885766i 0.488516 + 0.872555i \(0.337539\pi\)
−0.999913 + 0.0132108i \(0.995795\pi\)
\(500\) −2099.94 −0.187825
\(501\) −8677.32 6290.50i −0.773800 0.560956i
\(502\) −17557.9 −1.56105
\(503\) 3421.04 0.303254 0.151627 0.988438i \(-0.451549\pi\)
0.151627 + 0.988438i \(0.451549\pi\)
\(504\) 10801.9 + 4903.91i 0.954668 + 0.433408i
\(505\) 9767.09 0.860653
\(506\) 1389.06 0.122038
\(507\) 1971.99 18954.0i 0.172740 1.66031i
\(508\) −156.758 −0.0136910
\(509\) −3745.74 + 6487.81i −0.326183 + 0.564965i −0.981751 0.190171i \(-0.939096\pi\)
0.655568 + 0.755136i \(0.272429\pi\)
\(510\) 5144.62 + 3729.52i 0.446682 + 0.323816i
\(511\) 5140.60 + 1143.23i 0.445023 + 0.0989696i
\(512\) −12897.5 −1.11327
\(513\) 6493.67 1401.71i 0.558875 0.120638i
\(514\) −6504.54 + 11266.2i −0.558177 + 0.966791i
\(515\) 9084.00 + 15734.0i 0.777260 + 1.34625i
\(516\) −41.1600 + 395.615i −0.00351157 + 0.0337519i
\(517\) 9130.63 + 15814.7i 0.776721 + 1.34532i
\(518\) 1534.68 1672.58i 0.130174 0.141870i
\(519\) 5268.64 2352.40i 0.445603 0.198957i
\(520\) 34950.5 2.94746
\(521\) −8218.04 + 14234.1i −0.691054 + 1.19694i 0.280439 + 0.959872i \(0.409520\pi\)
−0.971493 + 0.237068i \(0.923814\pi\)
\(522\) 2393.33 + 7313.50i 0.200677 + 0.613225i
\(523\) −6736.04 11667.2i −0.563186 0.975467i −0.997216 0.0745687i \(-0.976242\pi\)
0.434030 0.900899i \(-0.357091\pi\)
\(524\) 206.834 358.247i 0.0172435 0.0298666i
\(525\) 7475.68 22371.3i 0.621458 1.85974i
\(526\) 53.1814 + 92.1128i 0.00440840 + 0.00763557i
\(527\) 1894.44 3281.27i 0.156591 0.271223i
\(528\) 9062.34 + 6569.62i 0.746947 + 0.541489i
\(529\) 5991.87 + 10378.2i 0.492469 + 0.852981i
\(530\) −2042.74 3538.13i −0.167417 0.289975i
\(531\) −5712.98 + 6371.83i −0.466897 + 0.520741i
\(532\) 538.854 587.272i 0.0439140 0.0478599i
\(533\) −7754.47 + 13431.1i −0.630175 + 1.09149i
\(534\) 10395.2 + 7535.83i 0.842402 + 0.610688i
\(535\) −10696.8 −0.864416
\(536\) −12810.9 −1.03236
\(537\) 467.897 4497.25i 0.0376000 0.361398i
\(538\) −2970.50 + 5145.06i −0.238043 + 0.412303i
\(539\) −11971.1 5601.58i −0.956643 0.447639i
\(540\) 1647.13 + 1817.75i 0.131261 + 0.144858i
\(541\) 10651.6 + 18449.2i 0.846487 + 1.46616i 0.884324 + 0.466874i \(0.154620\pi\)
−0.0378372 + 0.999284i \(0.512047\pi\)
\(542\) −6921.87 11989.0i −0.548560 0.950134i
\(543\) −15111.6 + 6747.19i −1.19429 + 0.533240i
\(544\) −488.424 + 845.974i −0.0384945 + 0.0666744i
\(545\) −12142.9 21032.0i −0.954390 1.65305i
\(546\) −6219.73 + 18612.8i −0.487509 + 1.45889i
\(547\) −7026.92 + 12171.0i −0.549267 + 0.951359i 0.449057 + 0.893503i \(0.351760\pi\)
−0.998325 + 0.0578563i \(0.981573\pi\)
\(548\) −1137.76 1970.65i −0.0886908 0.153617i
\(549\) −2949.09 + 3289.19i −0.229261 + 0.255700i
\(550\) 12575.1 21780.6i 0.974913 1.68860i
\(551\) 5067.91 0.391834
\(552\) 172.686 1659.80i 0.0133152 0.127981i
\(553\) −4080.70 12972.4i −0.313796 0.997543i
\(554\) −2996.05 5189.32i −0.229766 0.397966i
\(555\) 4201.31 1875.84i 0.321325 0.143469i
\(556\) 1195.92 + 2071.39i 0.0912200 + 0.157998i
\(557\) 6911.53 11971.1i 0.525765 0.910651i −0.473785 0.880641i \(-0.657113\pi\)
0.999550 0.0300108i \(-0.00955416\pi\)
\(558\) −7618.42 + 8497.01i −0.577981 + 0.644636i
\(559\) −6449.84 −0.488013
\(560\) −19443.0 4323.96i −1.46717 0.326287i
\(561\) 4364.19 1948.57i 0.328442 0.146646i
\(562\) 2308.78 3998.93i 0.173292 0.300150i
\(563\) 20378.7 1.52551 0.762754 0.646689i \(-0.223847\pi\)
0.762754 + 0.646689i \(0.223847\pi\)
\(564\) 2043.61 912.452i 0.152574 0.0681226i
\(565\) 5462.54 0.406744
\(566\) 4279.39 0.317803
\(567\) −12362.3 + 5427.47i −0.915641 + 0.401997i
\(568\) −19233.6 −1.42082
\(569\) −26522.9 −1.95412 −0.977062 0.212953i \(-0.931692\pi\)
−0.977062 + 0.212953i \(0.931692\pi\)
\(570\) −11509.7 + 5138.95i −0.845765 + 0.377626i
\(571\) 21932.0 1.60740 0.803701 0.595033i \(-0.202861\pi\)
0.803701 + 0.595033i \(0.202861\pi\)
\(572\) 1340.93 2322.56i 0.0980194 0.169775i
\(573\) 7844.15 3502.34i 0.571892 0.255344i
\(574\) 6752.64 7359.39i 0.491028 0.535148i
\(575\) −3318.03 −0.240646
\(576\) 10025.1 11181.2i 0.725194 0.808826i
\(577\) −1650.62 + 2858.96i −0.119092 + 0.206274i −0.919408 0.393305i \(-0.871332\pi\)
0.800316 + 0.599579i \(0.204665\pi\)
\(578\) 5782.80 + 10016.1i 0.416146 + 0.720787i
\(579\) −18705.0 + 8351.60i −1.34258 + 0.599449i
\(580\) 935.660 + 1620.61i 0.0669848 + 0.116021i
\(581\) 10513.5 + 2338.12i 0.750728 + 0.166956i
\(582\) 1183.55 11375.9i 0.0842951 0.810215i
\(583\) −3072.96 −0.218300
\(584\) 3372.87 5841.98i 0.238990 0.413943i
\(585\) −26554.0 + 29616.4i −1.87671 + 2.09314i
\(586\) 9442.43 + 16354.8i 0.665637 + 1.15292i
\(587\) −9953.28 + 17239.6i −0.699856 + 1.21219i 0.268660 + 0.963235i \(0.413419\pi\)
−0.968516 + 0.248952i \(0.919914\pi\)
\(588\) −834.655 + 1388.23i −0.0585384 + 0.0973632i
\(589\) 3757.97 + 6508.99i 0.262894 + 0.455345i
\(590\) 8118.87 14062.3i 0.566523 0.981246i
\(591\) 16590.1 7407.30i 1.15469 0.515559i
\(592\) −1286.54 2228.34i −0.0893180 0.154703i
\(593\) 3453.28 + 5981.25i 0.239138 + 0.414200i 0.960467 0.278393i \(-0.0898017\pi\)
−0.721329 + 0.692593i \(0.756468\pi\)
\(594\) −14071.7 + 3037.50i −0.972003 + 0.209815i
\(595\) −5750.02 + 6266.68i −0.396181 + 0.431779i
\(596\) 518.594 898.232i 0.0356417 0.0617332i
\(597\) 2122.22 20398.1i 0.145489 1.39839i
\(598\) 2760.58 0.188777
\(599\) −13892.6 −0.947639 −0.473820 0.880622i \(-0.657125\pi\)
−0.473820 + 0.880622i \(0.657125\pi\)
\(600\) −24462.5 17733.7i −1.66446 1.20663i
\(601\) 9597.10 16622.7i 0.651371 1.12821i −0.331419 0.943484i \(-0.607527\pi\)
0.982790 0.184724i \(-0.0591392\pi\)
\(602\) 4054.71 + 901.735i 0.274515 + 0.0610498i
\(603\) 9733.20 10855.7i 0.657325 0.733130i
\(604\) 493.478 + 854.729i 0.0332439 + 0.0575802i
\(605\) −1479.32 2562.26i −0.0994098 0.172183i
\(606\) 5687.66 + 4123.19i 0.381263 + 0.276391i
\(607\) 7669.37 13283.7i 0.512834 0.888254i −0.487056 0.873371i \(-0.661929\pi\)
0.999889 0.0148828i \(-0.00473752\pi\)
\(608\) −968.876 1678.14i −0.0646268 0.111937i
\(609\) −10092.1 + 2057.34i −0.671516 + 0.136893i
\(610\) 4191.03 7259.07i 0.278180 0.481822i
\(611\) 18146.0 + 31429.7i 1.20148 + 2.08103i
\(612\) −182.181 556.706i −0.0120331 0.0367705i
\(613\) −483.371 + 837.222i −0.0318485 + 0.0551633i −0.881510 0.472165i \(-0.843473\pi\)
0.849662 + 0.527328i \(0.176806\pi\)
\(614\) 19242.0 1.26473
\(615\) 18485.9 8253.76i 1.21207 0.541177i
\(616\) −11446.1 + 12474.6i −0.748664 + 0.815934i
\(617\) 4266.36 + 7389.56i 0.278375 + 0.482160i 0.970981 0.239156i \(-0.0768709\pi\)
−0.692606 + 0.721316i \(0.743538\pi\)
\(618\) −1352.23 + 12997.2i −0.0880173 + 0.845991i
\(619\) 21.7968 + 37.7532i 0.00141533 + 0.00245142i 0.866732 0.498774i \(-0.166216\pi\)
−0.865317 + 0.501225i \(0.832883\pi\)
\(620\) −1387.63 + 2403.44i −0.0898845 + 0.155684i
\(621\) 1275.28 + 1407.38i 0.0824077 + 0.0909441i
\(622\) 12338.0 0.795354
\(623\) −11618.4 + 12662.4i −0.747162 + 0.814298i
\(624\) 18010.2 + 13056.3i 1.15543 + 0.837611i
\(625\) −6906.35 + 11962.1i −0.442006 + 0.765577i
\(626\) 21325.4 1.36155
\(627\) −981.100 + 9429.98i −0.0624902 + 0.600633i
\(628\) −1356.73 −0.0862091
\(629\) −1098.70 −0.0696469
\(630\) 20833.9 14906.0i 1.31753 0.942647i
\(631\) 10710.6 0.675723 0.337861 0.941196i \(-0.390297\pi\)
0.337861 + 0.941196i \(0.390297\pi\)
\(632\) −17419.8 −1.09639
\(633\) −13453.6 9752.98i −0.844757 0.612395i
\(634\) 13725.2 0.859778
\(635\) −1659.09 + 2873.63i −0.103684 + 0.179585i
\(636\) −38.9728 + 374.593i −0.00242983 + 0.0233547i
\(637\) −23791.0 11132.4i −1.47980 0.692437i
\(638\) −10982.1 −0.681483
\(639\) 14613.0 16298.2i 0.904665 1.00899i
\(640\) −11097.8 + 19222.0i −0.685437 + 1.18721i
\(641\) −8224.76 14245.7i −0.506799 0.877802i −0.999969 0.00786896i \(-0.997495\pi\)
0.493170 0.869933i \(-0.335838\pi\)
\(642\) −6229.05 4515.66i −0.382930 0.277599i
\(643\) −6805.48 11787.4i −0.417391 0.722942i 0.578286 0.815834i \(-0.303722\pi\)
−0.995676 + 0.0928928i \(0.970389\pi\)
\(644\) 222.427 + 49.4659i 0.0136100 + 0.00302676i
\(645\) 6816.63 + 4941.62i 0.416131 + 0.301669i
\(646\) 3009.92 0.183318
\(647\) 4924.16 8528.89i 0.299210 0.518246i −0.676746 0.736217i \(-0.736610\pi\)
0.975955 + 0.217970i \(0.0699437\pi\)
\(648\) 1880.14 + 17192.0i 0.113980 + 1.04223i
\(649\) −6106.72 10577.2i −0.369353 0.639737i
\(650\) 24991.3 43286.2i 1.50806 2.61204i
\(651\) −10125.9 11436.3i −0.609623 0.688515i
\(652\) 350.487 + 607.061i 0.0210523 + 0.0364637i
\(653\) −12195.0 + 21122.3i −0.730822 + 1.26582i 0.225710 + 0.974194i \(0.427530\pi\)
−0.956532 + 0.291626i \(0.905804\pi\)
\(654\) 1807.57 17373.7i 0.108076 1.03878i
\(655\) −4378.16 7583.20i −0.261174 0.452366i
\(656\) −5660.79 9804.77i −0.336916 0.583555i
\(657\) 2387.80 + 7296.62i 0.141792 + 0.433285i
\(658\) −7013.41 22295.3i −0.415518 1.32092i
\(659\) −2706.97 + 4688.60i −0.160013 + 0.277150i −0.934873 0.354982i \(-0.884487\pi\)
0.774860 + 0.632133i \(0.217820\pi\)
\(660\) −3196.64 + 1427.27i −0.188529 + 0.0841763i
\(661\) 27401.1 1.61237 0.806187 0.591661i \(-0.201528\pi\)
0.806187 + 0.591661i \(0.201528\pi\)
\(662\) −16838.8 −0.988610
\(663\) 8673.26 3872.53i 0.508057 0.226842i
\(664\) 6898.15 11947.9i 0.403163 0.698298i
\(665\) −5062.53 16093.6i −0.295213 0.938470i
\(666\) 3238.43 + 681.230i 0.188418 + 0.0396353i
\(667\) 724.429 + 1254.75i 0.0420540 + 0.0728397i
\(668\) −937.294 1623.44i −0.0542889 0.0940312i
\(669\) −2883.08 + 27711.1i −0.166616 + 1.60145i
\(670\) −13832.1 + 23957.9i −0.797583 + 1.38145i
\(671\) −3152.34 5460.01i −0.181363 0.314130i
\(672\) 2610.65 + 2948.49i 0.149863 + 0.169257i
\(673\) −16984.0 + 29417.2i −0.972786 + 1.68492i −0.285732 + 0.958310i \(0.592237\pi\)
−0.687055 + 0.726606i \(0.741097\pi\)
\(674\) −6380.23 11050.9i −0.364625 0.631549i
\(675\) 33612.9 7255.61i 1.91668 0.413731i
\(676\) 1666.55 2886.56i 0.0948199 0.164233i
\(677\) 28499.7 1.61792 0.808960 0.587864i \(-0.200031\pi\)
0.808960 + 0.587864i \(0.200031\pi\)
\(678\) 3180.99 + 2306.01i 0.180185 + 0.130622i
\(679\) 14943.3 + 3323.27i 0.844582 + 0.187828i
\(680\) 5447.21 + 9434.84i 0.307193 + 0.532073i
\(681\) 10559.7 + 7655.09i 0.594196 + 0.430754i
\(682\) −8143.48 14104.9i −0.457229 0.791943i
\(683\) 3029.34 5246.97i 0.169714 0.293952i −0.768606 0.639723i \(-0.779049\pi\)
0.938319 + 0.345770i \(0.112382\pi\)
\(684\) 1137.07 + 239.192i 0.0635628 + 0.0133709i
\(685\) −48167.0 −2.68666
\(686\) 13399.9 + 10324.6i 0.745786 + 0.574628i
\(687\) −2573.21 + 24732.7i −0.142902 + 1.37353i
\(688\) 2354.20 4077.60i 0.130455 0.225955i
\(689\) −6107.10 −0.337681
\(690\) −2917.57 2115.06i −0.160971 0.116694i
\(691\) −24581.2 −1.35327 −0.676637 0.736317i \(-0.736563\pi\)
−0.676637 + 0.736317i \(0.736563\pi\)
\(692\) 1009.21 0.0554400
\(693\) −1874.40 19176.9i −0.102745 1.05118i
\(694\) 16930.9 0.926065
\(695\) 50629.3 2.76328
\(696\) −1365.28 + 13122.6i −0.0743546 + 0.714669i
\(697\) −4834.29 −0.262714
\(698\) −3782.25 + 6551.04i −0.205100 + 0.355244i
\(699\) −7516.01 5448.62i −0.406697 0.294830i
\(700\) 2789.24 3039.86i 0.150605 0.164137i
\(701\) 32717.2 1.76279 0.881393 0.472384i \(-0.156606\pi\)
0.881393 + 0.472384i \(0.156606\pi\)
\(702\) −27965.7 + 6036.63i −1.50356 + 0.324556i
\(703\) 1089.73 1887.47i 0.0584637 0.101262i
\(704\) 10716.0 + 18560.7i 0.573686 + 0.993653i
\(705\) 4902.37 47119.8i 0.261892 2.51721i
\(706\) 8144.90 + 14107.4i 0.434189 + 0.752037i
\(707\) −6356.95 + 6928.15i −0.338158 + 0.368543i
\(708\) −1366.80 + 610.263i −0.0725530 + 0.0323942i
\(709\) 9781.33 0.518118 0.259059 0.965862i \(-0.416588\pi\)
0.259059 + 0.965862i \(0.416588\pi\)
\(710\) −20766.9 + 35969.3i −1.09770 + 1.90127i
\(711\) 13234.9 14761.2i 0.698096 0.778603i
\(712\) 11006.6 + 19063.9i 0.579338 + 1.00344i
\(713\) −1074.36 + 1860.85i −0.0564307 + 0.0977409i
\(714\) −5993.88 + 1221.89i −0.314167 + 0.0640449i
\(715\) −28384.1 49162.8i −1.48462 2.57145i
\(716\) 395.426 684.898i 0.0206393 0.0357484i
\(717\) −7886.48 5717.20i −0.410776 0.297786i
\(718\) 4236.13 + 7337.19i 0.220182 + 0.381367i
\(719\) −9733.87 16859.6i −0.504885 0.874486i −0.999984 0.00564976i \(-0.998202\pi\)
0.495099 0.868836i \(-0.335132\pi\)
\(720\) −9031.23 27597.5i −0.467464 1.42847i
\(721\) −17073.0 3796.90i −0.881876 0.196122i
\(722\) 6147.13 10647.1i 0.316859 0.548817i
\(723\) 2366.79 + 1715.77i 0.121745 + 0.0882577i
\(724\) −2894.64 −0.148589
\(725\) 26232.8 1.34381
\(726\) 220.209 2116.57i 0.0112572 0.108200i
\(727\) 9539.83 16523.5i 0.486675 0.842946i −0.513208 0.858265i \(-0.671543\pi\)
0.999883 + 0.0153186i \(0.00487624\pi\)
\(728\) −22747.7 + 24791.6i −1.15808 + 1.26214i
\(729\) −15996.6 11468.6i −0.812712 0.582666i
\(730\) −7283.49 12615.4i −0.369279 0.639611i
\(731\) −1005.24 1741.13i −0.0508620 0.0880956i
\(732\) −705.554 + 315.023i −0.0356257 + 0.0159065i
\(733\) −5082.66 + 8803.43i −0.256115 + 0.443605i −0.965198 0.261521i \(-0.915776\pi\)
0.709083 + 0.705125i \(0.249109\pi\)
\(734\) 10352.2 + 17930.6i 0.520583 + 0.901676i
\(735\) 16614.7 + 29993.2i 0.833798 + 1.50519i
\(736\) 276.991 479.762i 0.0138723 0.0240275i
\(737\) 10404.0 + 18020.3i 0.519996 + 0.900659i
\(738\) 14249.2 + 2997.43i 0.710731 + 0.149508i
\(739\) 769.266 1332.41i 0.0382921 0.0663239i −0.846244 0.532795i \(-0.821142\pi\)
0.884536 + 0.466471i \(0.154475\pi\)
\(740\) 804.763 0.0399779
\(741\) −1949.81 + 18740.9i −0.0966640 + 0.929100i
\(742\) 3839.25 + 853.818i 0.189951 + 0.0422435i
\(743\) −377.130 653.208i −0.0186212 0.0322528i 0.856565 0.516040i \(-0.172594\pi\)
−0.875186 + 0.483787i \(0.839261\pi\)
\(744\) −17866.4 + 7977.18i −0.880396 + 0.393088i
\(745\) −10977.3 19013.3i −0.539838 0.935026i
\(746\) −3349.92 + 5802.23i −0.164409 + 0.284765i
\(747\) 4883.50 + 14922.9i 0.239194 + 0.730926i
\(748\) 835.963 0.0408634
\(749\) 6962.05 7587.61i 0.339636 0.370154i
\(750\) −29193.3 + 13034.5i −1.42132 + 0.634604i
\(751\) −11562.5 + 20026.8i −0.561811 + 0.973085i 0.435527 + 0.900175i \(0.356562\pi\)
−0.997339 + 0.0729099i \(0.976771\pi\)
\(752\) −26493.2 −1.28472
\(753\) 31284.0 13968.0i 1.51401 0.675993i
\(754\) −21825.5 −1.05416
\(755\) 20891.4 1.00704
\(756\) −2361.43 14.7224i −0.113604 0.000708264i
\(757\) 8312.10 0.399086 0.199543 0.979889i \(-0.436054\pi\)
0.199543 + 0.979889i \(0.436054\pi\)
\(758\) −34268.1 −1.64205
\(759\) −2474.98 + 1105.05i −0.118361 + 0.0528471i
\(760\) −21611.0 −1.03147
\(761\) −3729.84 + 6460.27i −0.177670 + 0.307733i −0.941082 0.338179i \(-0.890189\pi\)
0.763412 + 0.645912i \(0.223523\pi\)
\(762\) −2179.24 + 973.010i −0.103603 + 0.0462578i
\(763\) 22822.0 + 5075.43i 1.08285 + 0.240816i
\(764\) 1502.55 0.0711523
\(765\) −12133.5 2552.37i −0.573447 0.120629i
\(766\) 957.553 1658.53i 0.0451668 0.0782312i
\(767\) −12136.3 21020.7i −0.571339 0.989589i
\(768\) 6534.83 2917.74i 0.307038 0.137090i
\(769\) 7079.25 + 12261.6i 0.331969 + 0.574988i 0.982898 0.184151i \(-0.0589537\pi\)
−0.650929 + 0.759139i \(0.725620\pi\)
\(770\) 10970.5 + 34874.7i 0.513439 + 1.63220i
\(771\) 2626.85 25248.3i 0.122702 1.17937i
\(772\) −3582.95 −0.167038
\(773\) −2281.19 + 3951.14i −0.106143 + 0.183845i −0.914205 0.405253i \(-0.867184\pi\)
0.808061