Properties

Label 147.4.o.a.101.36
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.36
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.36

$q$-expansion

\(f(q)\) \(=\) \(q+(1.86568 + 0.732225i) q^{2} +(5.06292 - 1.16913i) q^{3} +(-2.91981 - 2.70919i) q^{4} +(7.00045 + 4.77283i) q^{5} +(10.3018 + 1.52597i) q^{6} +(10.3324 + 15.3702i) q^{7} +(-10.4205 - 21.6384i) q^{8} +(24.2663 - 11.8384i) q^{9} +O(q^{10})\) \(q+(1.86568 + 0.732225i) q^{2} +(5.06292 - 1.16913i) q^{3} +(-2.91981 - 2.70919i) q^{4} +(7.00045 + 4.77283i) q^{5} +(10.3018 + 1.52597i) q^{6} +(10.3324 + 15.3702i) q^{7} +(-10.4205 - 21.6384i) q^{8} +(24.2663 - 11.8384i) q^{9} +(9.56581 + 14.0305i) q^{10} +(4.91362 + 32.5997i) q^{11} +(-17.9502 - 10.3028i) q^{12} +(46.1982 - 36.8418i) q^{13} +(8.02244 + 36.2414i) q^{14} +(41.0228 + 15.9800i) q^{15} +(-1.21588 - 16.2247i) q^{16} +(-46.7745 - 14.4280i) q^{17} +(53.9414 - 4.31831i) q^{18} +(57.6394 - 33.2781i) q^{19} +(-7.50951 - 32.9013i) q^{20} +(70.2816 + 65.7381i) q^{21} +(-14.7031 + 64.4185i) q^{22} +(7.82005 + 25.3520i) q^{23} +(-78.0562 - 97.3704i) q^{24} +(-19.4412 - 49.5353i) q^{25} +(113.167 - 34.9075i) q^{26} +(109.017 - 88.3074i) q^{27} +(11.4722 - 72.8704i) q^{28} +(-260.075 + 59.3604i) q^{29} +(64.8343 + 59.8514i) q^{30} +(39.4109 + 22.7539i) q^{31} +(-47.0208 + 152.438i) q^{32} +(62.9906 + 159.305i) q^{33} +(-76.7016 - 61.1675i) q^{34} +(-1.02798 + 156.913i) q^{35} +(-102.926 - 31.1760i) q^{36} +(-182.343 + 169.190i) q^{37} +(131.904 - 19.8813i) q^{38} +(190.825 - 240.539i) q^{39} +(30.3281 - 201.214i) q^{40} +(-367.455 + 176.957i) q^{41} +(82.9879 + 174.108i) q^{42} +(82.4286 + 39.6955i) q^{43} +(73.9720 - 108.497i) q^{44} +(226.378 + 32.9444i) q^{45} +(-3.97365 + 53.0247i) q^{46} +(32.5135 - 82.8431i) q^{47} +(-25.1247 - 80.7230i) q^{48} +(-129.485 + 317.620i) q^{49} -106.652i q^{50} +(-253.684 - 18.3624i) q^{51} +(-234.702 - 17.5885i) q^{52} +(504.425 - 543.641i) q^{53} +(268.052 - 84.9278i) q^{54} +(-121.195 + 251.665i) q^{55} +(224.917 - 383.740i) q^{56} +(252.917 - 235.872i) q^{57} +(-528.681 - 79.6859i) q^{58} +(-317.908 + 216.746i) q^{59} +(-76.4860 - 157.797i) q^{60} +(-342.934 - 369.595i) q^{61} +(56.8671 + 71.3091i) q^{62} +(432.686 + 250.658i) q^{63} +(-280.499 + 351.735i) q^{64} +(499.248 - 37.4135i) q^{65} +(0.873003 + 343.335i) q^{66} +(-40.5130 + 70.1705i) q^{67} +(97.4845 + 168.848i) q^{68} +(69.2321 + 119.212i) q^{69} +(-116.813 + 291.996i) q^{70} +(-815.244 - 186.074i) q^{71} +(-509.031 - 401.720i) q^{72} +(-834.304 + 327.440i) q^{73} +(-464.078 + 182.137i) q^{74} +(-156.342 - 228.064i) q^{75} +(-258.453 - 58.9902i) q^{76} +(-450.294 + 412.355i) q^{77} +(532.146 - 309.042i) q^{78} +(-257.330 - 445.709i) q^{79} +(68.9262 - 119.384i) q^{80} +(448.704 - 574.548i) q^{81} +(-815.124 + 61.0851i) q^{82} +(417.483 - 523.507i) q^{83} +(-27.1123 - 382.349i) q^{84} +(-258.580 - 324.249i) q^{85} +(124.719 + 134.415i) q^{86} +(-1247.34 + 604.598i) q^{87} +(654.203 - 446.028i) q^{88} +(939.399 + 141.592i) q^{89} +(398.225 + 227.223i) q^{90} +(1043.60 + 329.411i) q^{91} +(45.8503 - 95.2091i) q^{92} +(226.137 + 69.1247i) q^{93} +(121.319 - 130.751i) q^{94} +(562.332 + 42.1410i) q^{95} +(-59.8430 + 826.754i) q^{96} -206.972i q^{97} +(-474.146 + 497.766i) q^{98} +(505.164 + 732.904i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} + O(q^{10}) \) \( 648 q - 11 q^{3} - 234 q^{4} + 14 q^{6} + 28 q^{7} - 125 q^{9} - 58 q^{10} - 207 q^{12} - 28 q^{13} - 148 q^{15} + 726 q^{16} - 81 q^{18} - 342 q^{19} - 371 q^{21} - 156 q^{22} - 428 q^{24} + 1250 q^{25} - 56 q^{27} + 700 q^{28} + 389 q^{30} + 888 q^{31} + 841 q^{33} - 532 q^{34} - 38 q^{36} + 1178 q^{37} - 180 q^{39} + 194 q^{40} + 56 q^{42} + 1296 q^{43} - 617 q^{45} - 6756 q^{46} - 2380 q^{49} + 787 q^{51} - 5204 q^{52} + 4144 q^{54} - 5698 q^{55} + 863 q^{57} - 3066 q^{58} + 2820 q^{60} + 1492 q^{61} - 1085 q^{63} + 7648 q^{64} + 2568 q^{66} + 142 q^{67} - 5474 q^{69} + 5180 q^{70} + 1278 q^{72} + 2876 q^{73} - 1754 q^{75} + 7644 q^{76} + 936 q^{78} - 992 q^{79} + 911 q^{81} + 1022 q^{82} + 7868 q^{84} + 2672 q^{85} - 196 q^{87} + 370 q^{88} - 18767 q^{90} - 2254 q^{91} - 11096 q^{93} - 3628 q^{94} - 24248 q^{96} + 10982 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.86568 + 0.732225i 0.659617 + 0.258881i 0.671450 0.741049i \(-0.265672\pi\)
−0.0118336 + 0.999930i \(0.503767\pi\)
\(3\) 5.06292 1.16913i 0.974359 0.224999i
\(4\) −2.91981 2.70919i −0.364977 0.338649i
\(5\) 7.00045 + 4.77283i 0.626139 + 0.426895i 0.834385 0.551182i \(-0.185823\pi\)
−0.208246 + 0.978077i \(0.566775\pi\)
\(6\) 10.3018 + 1.52597i 0.700951 + 0.103829i
\(7\) 10.3324 + 15.3702i 0.557895 + 0.829911i
\(8\) −10.4205 21.6384i −0.460525 0.956290i
\(9\) 24.2663 11.8384i 0.898751 0.438460i
\(10\) 9.56581 + 14.0305i 0.302497 + 0.443682i
\(11\) 4.91362 + 32.5997i 0.134683 + 0.893563i 0.949483 + 0.313820i \(0.101609\pi\)
−0.814800 + 0.579743i \(0.803153\pi\)
\(12\) −17.9502 10.3028i −0.431814 0.247846i
\(13\) 46.1982 36.8418i 0.985621 0.786007i 0.00877776 0.999961i \(-0.497206\pi\)
0.976844 + 0.213955i \(0.0686345\pi\)
\(14\) 8.02244 + 36.2414i 0.153149 + 0.691852i
\(15\) 41.0228 + 15.9800i 0.706135 + 0.275068i
\(16\) −1.21588 16.2247i −0.0189981 0.253512i
\(17\) −46.7745 14.4280i −0.667322 0.205842i −0.0574585 0.998348i \(-0.518300\pi\)
−0.609864 + 0.792506i \(0.708776\pi\)
\(18\) 53.9414 4.31831i 0.706340 0.0565465i
\(19\) 57.6394 33.2781i 0.695967 0.401817i −0.109876 0.993945i \(-0.535045\pi\)
0.805844 + 0.592128i \(0.201712\pi\)
\(20\) −7.50951 32.9013i −0.0839589 0.367848i
\(21\) 70.2816 + 65.7381i 0.730320 + 0.683106i
\(22\) −14.7031 + 64.4185i −0.142487 + 0.624276i
\(23\) 7.82005 + 25.3520i 0.0708954 + 0.229837i 0.984085 0.177697i \(-0.0568648\pi\)
−0.913190 + 0.407535i \(0.866389\pi\)
\(24\) −78.0562 97.3704i −0.663881 0.828152i
\(25\) −19.4412 49.5353i −0.155530 0.396283i
\(26\) 113.167 34.9075i 0.853614 0.263305i
\(27\) 109.017 88.3074i 0.777053 0.629436i
\(28\) 11.4722 72.8704i 0.0774298 0.491829i
\(29\) −260.075 + 59.3604i −1.66533 + 0.380102i −0.948409 0.317048i \(-0.897308\pi\)
−0.716925 + 0.697150i \(0.754451\pi\)
\(30\) 64.8343 + 59.8514i 0.394569 + 0.364244i
\(31\) 39.4109 + 22.7539i 0.228336 + 0.131830i 0.609804 0.792552i \(-0.291248\pi\)
−0.381468 + 0.924382i \(0.624581\pi\)
\(32\) −47.0208 + 152.438i −0.259756 + 0.842108i
\(33\) 62.9906 + 159.305i 0.332280 + 0.840347i
\(34\) −76.7016 61.1675i −0.386889 0.308533i
\(35\) −1.02798 + 156.913i −0.00496460 + 0.757803i
\(36\) −102.926 31.1760i −0.476507 0.144333i
\(37\) −182.343 + 169.190i −0.810189 + 0.751746i −0.971976 0.235080i \(-0.924465\pi\)
0.161787 + 0.986826i \(0.448274\pi\)
\(38\) 131.904 19.8813i 0.563094 0.0848728i
\(39\) 190.825 240.539i 0.783498 0.987617i
\(40\) 30.3281 201.214i 0.119882 0.795366i
\(41\) −367.455 + 176.957i −1.39968 + 0.674049i −0.973096 0.230400i \(-0.925997\pi\)
−0.426581 + 0.904449i \(0.640282\pi\)
\(42\) 82.9879 + 174.108i 0.304888 + 0.639654i
\(43\) 82.4286 + 39.6955i 0.292331 + 0.140779i 0.574302 0.818644i \(-0.305274\pi\)
−0.281970 + 0.959423i \(0.590988\pi\)
\(44\) 73.9720 108.497i 0.253448 0.371740i
\(45\) 226.378 + 32.9444i 0.749919 + 0.109135i
\(46\) −3.97365 + 53.0247i −0.0127366 + 0.169958i
\(47\) 32.5135 82.8431i 0.100906 0.257104i −0.871502 0.490393i \(-0.836853\pi\)
0.972408 + 0.233288i \(0.0749486\pi\)
\(48\) −25.1247 80.7230i −0.0755509 0.242737i
\(49\) −129.485 + 317.620i −0.377506 + 0.926007i
\(50\) 106.652i 0.301658i
\(51\) −253.684 18.3624i −0.696526 0.0504167i
\(52\) −234.702 17.5885i −0.625909 0.0469054i
\(53\) 504.425 543.641i 1.30732 1.40896i 0.450995 0.892526i \(-0.351069\pi\)
0.856328 0.516433i \(-0.172740\pi\)
\(54\) 268.052 84.9278i 0.675506 0.214022i
\(55\) −121.195 + 251.665i −0.297127 + 0.616990i
\(56\) 224.917 383.740i 0.536711 0.915705i
\(57\) 252.917 235.872i 0.587714 0.548106i
\(58\) −528.681 79.6859i −1.19688 0.180401i
\(59\) −317.908 + 216.746i −0.701494 + 0.478271i −0.860790 0.508960i \(-0.830030\pi\)
0.159296 + 0.987231i \(0.449078\pi\)
\(60\) −76.4860 157.797i −0.164572 0.339525i
\(61\) −342.934 369.595i −0.719807 0.775767i 0.262118 0.965036i \(-0.415579\pi\)
−0.981925 + 0.189268i \(0.939388\pi\)
\(62\) 56.8671 + 71.3091i 0.116486 + 0.146069i
\(63\) 432.686 + 250.658i 0.865292 + 0.501269i
\(64\) −280.499 + 351.735i −0.547850 + 0.686982i
\(65\) 499.248 37.4135i 0.952678 0.0713934i
\(66\) 0.873003 + 343.335i 0.00162817 + 0.640328i
\(67\) −40.5130 + 70.1705i −0.0738723 + 0.127951i −0.900595 0.434659i \(-0.856869\pi\)
0.826723 + 0.562609i \(0.190202\pi\)
\(68\) 97.4845 + 168.848i 0.173849 + 0.301115i
\(69\) 69.2321 + 119.212i 0.120791 + 0.207993i
\(70\) −116.813 + 291.996i −0.199455 + 0.498574i
\(71\) −815.244 186.074i −1.36270 0.311027i −0.522192 0.852828i \(-0.674886\pi\)
−0.840507 + 0.541801i \(0.817743\pi\)
\(72\) −509.031 401.720i −0.833192 0.657545i
\(73\) −834.304 + 327.440i −1.33764 + 0.524986i −0.922930 0.384967i \(-0.874213\pi\)
−0.414712 + 0.909953i \(0.636118\pi\)
\(74\) −464.078 + 182.137i −0.729027 + 0.286122i
\(75\) −156.342 228.064i −0.240705 0.351128i
\(76\) −258.453 58.9902i −0.390087 0.0890347i
\(77\) −450.294 + 412.355i −0.666439 + 0.610289i
\(78\) 532.146 309.042i 0.772483 0.448616i
\(79\) −257.330 445.709i −0.366480 0.634762i 0.622532 0.782594i \(-0.286104\pi\)
−0.989013 + 0.147832i \(0.952771\pi\)
\(80\) 68.9262 119.384i 0.0963273 0.166844i
\(81\) 448.704 574.548i 0.615506 0.788132i
\(82\) −815.124 + 61.0851i −1.09775 + 0.0822649i
\(83\) 417.483 523.507i 0.552105 0.692318i −0.424971 0.905207i \(-0.639716\pi\)
0.977076 + 0.212889i \(0.0682873\pi\)
\(84\) −27.1123 382.349i −0.0352166 0.496639i
\(85\) −258.580 324.249i −0.329964 0.413762i
\(86\) 124.719 + 134.415i 0.156382 + 0.168539i
\(87\) −1247.34 + 604.598i −1.53711 + 0.745055i
\(88\) 654.203 446.028i 0.792480 0.540304i
\(89\) 939.399 + 141.592i 1.11883 + 0.168637i 0.682314 0.731059i \(-0.260974\pi\)
0.436518 + 0.899696i \(0.356212\pi\)
\(90\) 398.225 + 227.223i 0.466407 + 0.266127i
\(91\) 1043.60 + 329.411i 1.20219 + 0.379469i
\(92\) 45.8503 95.2091i 0.0519589 0.107894i
\(93\) 226.137 + 69.1247i 0.252143 + 0.0770741i
\(94\) 121.319 130.751i 0.133119 0.143468i
\(95\) 562.332 + 42.1410i 0.607306 + 0.0455113i
\(96\) −59.8430 + 826.754i −0.0636219 + 0.878960i
\(97\) 206.972i 0.216648i −0.994116 0.108324i \(-0.965452\pi\)
0.994116 0.108324i \(-0.0345484\pi\)
\(98\) −474.146 + 497.766i −0.488735 + 0.513081i
\(99\) 505.164 + 732.904i 0.512838 + 0.744037i
\(100\) −77.4360 + 197.304i −0.0774360 + 0.197304i
\(101\) −44.3502 + 591.812i −0.0436931 + 0.583044i 0.931794 + 0.362988i \(0.118243\pi\)
−0.975487 + 0.220057i \(0.929376\pi\)
\(102\) −459.847 220.012i −0.446388 0.213573i
\(103\) −243.043 + 356.478i −0.232502 + 0.341018i −0.924705 0.380685i \(-0.875688\pi\)
0.692203 + 0.721703i \(0.256640\pi\)
\(104\) −1278.61 615.744i −1.20555 0.580564i
\(105\) 178.247 + 795.638i 0.165668 + 0.739489i
\(106\) 1339.16 644.907i 1.22708 0.590933i
\(107\) 105.790 701.872i 0.0955806 0.634136i −0.888828 0.458241i \(-0.848480\pi\)
0.984409 0.175895i \(-0.0562821\pi\)
\(108\) −557.552 37.5082i −0.496764 0.0334187i
\(109\) 1067.00 160.824i 0.937614 0.141323i 0.337580 0.941297i \(-0.390392\pi\)
0.600034 + 0.799974i \(0.295154\pi\)
\(110\) −410.387 + 380.783i −0.355717 + 0.330057i
\(111\) −725.383 + 1069.78i −0.620273 + 0.914762i
\(112\) 236.814 186.328i 0.199793 0.157200i
\(113\) 1412.73 + 1126.62i 1.17610 + 0.937905i 0.998929 0.0462759i \(-0.0147353\pi\)
0.177167 + 0.984181i \(0.443307\pi\)
\(114\) 644.573 254.870i 0.529560 0.209392i
\(115\) −66.2568 + 214.799i −0.0537259 + 0.174175i
\(116\) 920.189 + 531.271i 0.736529 + 0.425235i
\(117\) 684.909 1440.93i 0.541195 1.13858i
\(118\) −751.822 + 171.598i −0.586532 + 0.133872i
\(119\) −261.530 868.008i −0.201466 0.668656i
\(120\) −81.6963 1054.19i −0.0621485 0.801946i
\(121\) 233.269 71.9539i 0.175258 0.0540600i
\(122\) −369.178 940.651i −0.273966 0.698053i
\(123\) −1653.51 + 1325.52i −1.21213 + 0.971692i
\(124\) −53.4279 173.209i −0.0386933 0.125440i
\(125\) 335.995 1472.09i 0.240418 1.05334i
\(126\) 623.716 + 784.471i 0.440992 + 0.554653i
\(127\) −397.301 1740.69i −0.277596 1.21623i −0.900823 0.434187i \(-0.857036\pi\)
0.623226 0.782042i \(-0.285822\pi\)
\(128\) 324.352 187.265i 0.223976 0.129313i
\(129\) 463.738 + 104.605i 0.316511 + 0.0713953i
\(130\) 958.831 + 295.760i 0.646885 + 0.199538i
\(131\) 52.0579 + 694.665i 0.0347200 + 0.463306i 0.987284 + 0.158967i \(0.0508165\pi\)
−0.952564 + 0.304339i \(0.901564\pi\)
\(132\) 247.667 635.795i 0.163308 0.419233i
\(133\) 1107.04 + 542.086i 0.721749 + 0.353420i
\(134\) −126.965 + 101.251i −0.0818513 + 0.0652743i
\(135\) 1184.65 97.8698i 0.755246 0.0623947i
\(136\) 175.214 + 1162.47i 0.110474 + 0.732949i
\(137\) 307.584 + 451.143i 0.191815 + 0.281341i 0.910083 0.414425i \(-0.136017\pi\)
−0.718268 + 0.695766i \(0.755065\pi\)
\(138\) 41.8745 + 273.105i 0.0258304 + 0.168466i
\(139\) 351.404 + 729.698i 0.214429 + 0.445267i 0.980243 0.197795i \(-0.0633780\pi\)
−0.765814 + 0.643062i \(0.777664\pi\)
\(140\) 428.108 455.371i 0.258441 0.274899i
\(141\) 67.7589 457.440i 0.0404704 0.273216i
\(142\) −1384.73 944.096i −0.818340 0.557935i
\(143\) 1428.03 + 1325.02i 0.835093 + 0.774853i
\(144\) −221.580 379.320i −0.128229 0.219514i
\(145\) −2103.96 825.743i −1.20500 0.472926i
\(146\) −1796.30 −1.01824
\(147\) −284.230 + 1759.47i −0.159476 + 0.987202i
\(148\) 990.774 0.550278
\(149\) 40.5079 + 15.8982i 0.0222720 + 0.00874113i 0.376451 0.926437i \(-0.377144\pi\)
−0.354179 + 0.935178i \(0.615240\pi\)
\(150\) −124.690 539.972i −0.0678729 0.293923i
\(151\) 2466.51 + 2288.59i 1.32928 + 1.23339i 0.951555 + 0.307477i \(0.0994848\pi\)
0.377727 + 0.925917i \(0.376706\pi\)
\(152\) −1320.71 900.448i −0.704764 0.480500i
\(153\) −1305.85 + 203.622i −0.690010 + 0.107594i
\(154\) −1142.04 + 439.606i −0.597586 + 0.230029i
\(155\) 167.294 + 347.389i 0.0866927 + 0.180019i
\(156\) −1208.84 + 185.348i −0.620414 + 0.0951263i
\(157\) 2024.61 + 2969.56i 1.02918 + 1.50953i 0.850742 + 0.525584i \(0.176153\pi\)
0.178441 + 0.983951i \(0.442895\pi\)
\(158\) −153.736 1019.97i −0.0774089 0.513574i
\(159\) 1918.28 3342.15i 0.956787 1.66698i
\(160\) −1056.73 + 842.711i −0.522135 + 0.416389i
\(161\) −308.865 + 382.142i −0.151192 + 0.187062i
\(162\) 1257.84 743.371i 0.610030 0.360523i
\(163\) −218.092 2910.24i −0.104799 1.39845i −0.763384 0.645945i \(-0.776464\pi\)
0.658584 0.752507i \(-0.271156\pi\)
\(164\) 1552.31 + 478.824i 0.739115 + 0.227987i
\(165\) −319.373 + 1415.85i −0.150686 + 0.668023i
\(166\) 1162.21 671.004i 0.543405 0.313735i
\(167\) 228.859 + 1002.70i 0.106046 + 0.464618i 0.999869 + 0.0161974i \(0.00515601\pi\)
−0.893823 + 0.448420i \(0.851987\pi\)
\(168\) 690.095 2205.80i 0.316917 1.01298i
\(169\) 288.075 1262.14i 0.131122 0.574482i
\(170\) −245.004 794.283i −0.110535 0.358346i
\(171\) 1004.73 1489.89i 0.449321 0.666287i
\(172\) −133.133 339.218i −0.0590193 0.150379i
\(173\) −919.297 + 283.566i −0.404005 + 0.124619i −0.490096 0.871668i \(-0.663038\pi\)
0.0860915 + 0.996287i \(0.472562\pi\)
\(174\) −2769.83 + 214.654i −1.20678 + 0.0935223i
\(175\) 560.493 810.632i 0.242110 0.350160i
\(176\) 522.948 119.359i 0.223970 0.0511196i
\(177\) −1356.14 + 1469.04i −0.575897 + 0.623843i
\(178\) 1648.94 + 952.015i 0.694344 + 0.400880i
\(179\) −834.980 + 2706.94i −0.348655 + 1.13031i 0.596203 + 0.802834i \(0.296675\pi\)
−0.944858 + 0.327479i \(0.893801\pi\)
\(180\) −571.727 709.492i −0.236745 0.293791i
\(181\) 1330.85 + 1061.32i 0.546528 + 0.435841i 0.857430 0.514601i \(-0.172060\pi\)
−0.310902 + 0.950442i \(0.600631\pi\)
\(182\) 1705.82 + 1378.73i 0.694747 + 0.561528i
\(183\) −2168.35 1470.30i −0.875897 0.593920i
\(184\) 467.087 433.393i 0.187142 0.173642i
\(185\) −2084.00 + 314.112i −0.828208 + 0.124832i
\(186\) 371.283 + 294.547i 0.146365 + 0.116114i
\(187\) 240.517 1595.73i 0.0940555 0.624018i
\(188\) −319.371 + 153.801i −0.123896 + 0.0596654i
\(189\) 2483.71 + 763.194i 0.955890 + 0.293726i
\(190\) 1018.27 + 490.375i 0.388807 + 0.187240i
\(191\) 17.2352 25.2794i 0.00652930 0.00957673i −0.822960 0.568099i \(-0.807679\pi\)
0.829490 + 0.558522i \(0.188631\pi\)
\(192\) −1008.92 + 2108.74i −0.379232 + 0.792633i
\(193\) 147.696 1970.86i 0.0550848 0.735056i −0.899463 0.436997i \(-0.856042\pi\)
0.954548 0.298058i \(-0.0963390\pi\)
\(194\) 151.550 386.144i 0.0560860 0.142905i
\(195\) 2483.91 773.107i 0.912187 0.283915i
\(196\) 1238.57 576.594i 0.451372 0.210129i
\(197\) 3441.09i 1.24451i −0.782816 0.622253i \(-0.786217\pi\)
0.782816 0.622253i \(-0.213783\pi\)
\(198\) 405.823 + 1737.26i 0.145660 + 0.623543i
\(199\) −2259.76 169.346i −0.804975 0.0603246i −0.334115 0.942532i \(-0.608437\pi\)
−0.470860 + 0.882208i \(0.656056\pi\)
\(200\) −869.277 + 936.858i −0.307336 + 0.331229i
\(201\) −123.075 + 402.632i −0.0431894 + 0.141291i
\(202\) −516.082 + 1071.66i −0.179760 + 0.373275i
\(203\) −3599.57 3384.06i −1.24453 1.17002i
\(204\) 690.961 + 740.892i 0.237142 + 0.254279i
\(205\) −3416.93 515.020i −1.16414 0.175466i
\(206\) −714.462 + 487.112i −0.241645 + 0.164751i
\(207\) 489.891 + 522.621i 0.164492 + 0.175482i
\(208\) −653.921 704.759i −0.217987 0.234934i
\(209\) 1368.08 + 1715.51i 0.452783 + 0.567772i
\(210\) −250.035 + 1614.92i −0.0821621 + 0.530667i
\(211\) −411.164 + 515.583i −0.134150 + 0.168219i −0.844369 0.535762i \(-0.820025\pi\)
0.710219 + 0.703981i \(0.248596\pi\)
\(212\) −2945.65 + 220.746i −0.954285 + 0.0715137i
\(213\) −4345.06 + 11.0482i −1.39774 + 0.00355405i
\(214\) 711.299 1232.01i 0.227212 0.393543i
\(215\) 387.578 + 671.304i 0.122942 + 0.212942i
\(216\) −3046.84 1438.75i −0.959775 0.453217i
\(217\) 57.4764 + 840.855i 0.0179804 + 0.263046i
\(218\) 2108.44 + 481.237i 0.655052 + 0.149511i
\(219\) −3841.19 + 2633.21i −1.18522 + 0.812493i
\(220\) 1035.68 406.473i 0.317387 0.124565i
\(221\) −2692.45 + 1056.71i −0.819520 + 0.321638i
\(222\) −2136.65 + 1464.71i −0.645957 + 0.442816i
\(223\) −6045.05 1379.74i −1.81528 0.414325i −0.826401 0.563082i \(-0.809616\pi\)
−0.988874 + 0.148757i \(0.952473\pi\)
\(224\) −2828.83 + 852.324i −0.843792 + 0.254234i
\(225\) −1058.19 971.885i −0.313536 0.287966i
\(226\) 1810.77 + 3136.34i 0.532967 + 0.923126i
\(227\) 2444.42 4233.85i 0.714721 1.23793i −0.248347 0.968671i \(-0.579887\pi\)
0.963067 0.269261i \(-0.0867794\pi\)
\(228\) −1377.49 + 3.50257i −0.400117 + 0.00101738i
\(229\) −2721.49 + 203.947i −0.785332 + 0.0588525i −0.461359 0.887214i \(-0.652638\pi\)
−0.323974 + 0.946066i \(0.605019\pi\)
\(230\) −280.895 + 352.231i −0.0805290 + 0.100980i
\(231\) −1797.71 + 2614.17i −0.512036 + 0.744589i
\(232\) 3994.57 + 5009.03i 1.13042 + 1.41750i
\(233\) 1345.88 + 1450.51i 0.378418 + 0.407837i 0.893327 0.449407i \(-0.148365\pi\)
−0.514909 + 0.857245i \(0.672174\pi\)
\(234\) 2332.90 2186.80i 0.651738 0.610921i
\(235\) 623.005 424.758i 0.172938 0.117907i
\(236\) 1515.44 + 228.416i 0.417995 + 0.0630026i
\(237\) −1823.93 1955.74i −0.499904 0.536028i
\(238\) 147.646 1810.92i 0.0402121 0.493213i
\(239\) 1571.46 3263.17i 0.425311 0.883168i −0.572678 0.819781i \(-0.694095\pi\)
0.997989 0.0633874i \(-0.0201904\pi\)
\(240\) 209.393 685.014i 0.0563177 0.184239i
\(241\) −2750.02 + 2963.82i −0.735039 + 0.792184i −0.984347 0.176240i \(-0.943606\pi\)
0.249308 + 0.968424i \(0.419797\pi\)
\(242\) 487.891 + 36.5624i 0.129598 + 0.00971206i
\(243\) 1600.03 3433.48i 0.422394 0.906412i
\(244\) 2008.22i 0.526899i
\(245\) −2422.40 + 1605.48i −0.631679 + 0.418654i
\(246\) −4055.49 + 1262.26i −1.05109 + 0.327148i
\(247\) 1436.81 3660.93i 0.370129 0.943074i
\(248\) 81.6764 1089.90i 0.0209131 0.279066i
\(249\) 1501.63 3138.57i 0.382177 0.798789i
\(250\) 1704.76 2500.42i 0.431274 0.632562i
\(251\) 342.372 + 164.878i 0.0860970 + 0.0414621i 0.476437 0.879209i \(-0.341928\pi\)
−0.390340 + 0.920671i \(0.627642\pi\)
\(252\) −584.283 1904.10i −0.146057 0.475981i
\(253\) −788.043 + 379.502i −0.195825 + 0.0943046i
\(254\) 533.340 3538.48i 0.131751 0.874109i
\(255\) −1688.26 1339.33i −0.414600 0.328911i
\(256\) 4301.14 648.293i 1.05008 0.158275i
\(257\) 1054.69 978.607i 0.255991 0.237525i −0.541729 0.840553i \(-0.682230\pi\)
0.797720 + 0.603029i \(0.206040\pi\)
\(258\) 788.592 + 534.721i 0.190293 + 0.129032i
\(259\) −4484.51 1054.52i −1.07588 0.252990i
\(260\) −1559.07 1243.32i −0.371883 0.296567i
\(261\) −5608.32 + 4519.33i −1.33006 + 1.07180i
\(262\) −411.527 + 1334.14i −0.0970391 + 0.314593i
\(263\) 3761.42 + 2171.66i 0.881897 + 0.509164i 0.871283 0.490780i \(-0.163288\pi\)
0.0106137 + 0.999944i \(0.496621\pi\)
\(264\) 2790.71 3023.05i 0.650592 0.704757i
\(265\) 6125.91 1398.20i 1.42004 0.324116i
\(266\) 1668.45 + 1821.96i 0.384585 + 0.419968i
\(267\) 4921.64 381.413i 1.12809 0.0874235i
\(268\) 308.395 95.1274i 0.0702920 0.0216822i
\(269\) 908.201 + 2314.06i 0.205851 + 0.524500i 0.996095 0.0882927i \(-0.0281411\pi\)
−0.790243 + 0.612793i \(0.790046\pi\)
\(270\) 2281.83 + 684.834i 0.514326 + 0.154362i
\(271\) 121.793 + 394.842i 0.0273003 + 0.0885054i 0.968198 0.250186i \(-0.0804918\pi\)
−0.940897 + 0.338692i \(0.890016\pi\)
\(272\) −177.219 + 776.447i −0.0395054 + 0.173085i
\(273\) 5668.80 + 447.676i 1.25674 + 0.0992475i
\(274\) 243.515 + 1066.91i 0.0536908 + 0.235235i
\(275\) 1519.31 877.175i 0.333156 0.192348i
\(276\) 120.824 535.641i 0.0263506 0.116818i
\(277\) 115.399 + 35.5959i 0.0250313 + 0.00772113i 0.307246 0.951630i \(-0.400593\pi\)
−0.282214 + 0.959351i \(0.591069\pi\)
\(278\) 121.304 + 1618.69i 0.0261702 + 0.349217i
\(279\) 1225.73 + 85.5895i 0.263019 + 0.0183660i
\(280\) 3406.05 1612.86i 0.726965 0.344239i
\(281\) 554.542 442.233i 0.117727 0.0938840i −0.562857 0.826554i \(-0.690298\pi\)
0.680584 + 0.732670i \(0.261726\pi\)
\(282\) 461.365 803.821i 0.0974252 0.169741i
\(283\) −103.153 684.375i −0.0216672 0.143752i 0.975382 0.220524i \(-0.0707768\pi\)
−0.997049 + 0.0767719i \(0.975539\pi\)
\(284\) 1876.25 + 2751.95i 0.392024 + 0.574994i
\(285\) 2896.31 444.083i 0.601974 0.0922990i
\(286\) 1694.04 + 3517.71i 0.350247 + 0.727295i
\(287\) −6516.53 3819.46i −1.34027 0.785560i
\(288\) 663.602 + 4255.75i 0.135775 + 0.870738i
\(289\) −2079.63 1417.87i −0.423291 0.288595i
\(290\) −3320.68 3081.14i −0.672404 0.623900i
\(291\) −241.978 1047.88i −0.0487456 0.211093i
\(292\) 3323.11 + 1304.22i 0.665994 + 0.261383i
\(293\) 2697.59 0.537866 0.268933 0.963159i \(-0.413329\pi\)
0.268933 + 0.963159i \(0.413329\pi\)
\(294\) −1818.61 + 3074.49i −0.360760 + 0.609890i
\(295\) −3259.99 −0.643404
\(296\) 5561.09 + 2182.57i 1.09200 + 0.428578i
\(297\) 3414.47 + 3120.03i 0.667096 + 0.609571i
\(298\) 63.9336 + 59.3217i 0.0124281 + 0.0115316i
\(299\) 1295.29 + 883.111i 0.250530 + 0.170808i
\(300\) −161.378 + 1089.47i −0.0310573 + 0.209668i
\(301\) 241.555 + 1677.09i 0.0462558 + 0.321149i
\(302\) 2925.95 + 6075.81i 0.557516 + 1.15769i
\(303\) 467.364 + 3048.15i 0.0886117 + 0.577925i
\(304\) −610.011 894.722i −0.115087 0.168802i
\(305\) −636.680 4224.10i −0.119529 0.793020i
\(306\) −2585.39 576.281i −0.482996 0.107659i
\(307\) 7633.06 6087.16i 1.41903 1.13164i 0.447620 0.894224i \(-0.352272\pi\)
0.971409 0.237414i \(-0.0762998\pi\)
\(308\) 2431.92 + 15.9323i 0.449908 + 0.00294749i
\(309\) −813.736 + 2088.97i −0.149812 + 0.384587i
\(310\) 57.7495 + 770.613i 0.0105805 + 0.141187i
\(311\) 4302.17 + 1327.04i 0.784416 + 0.241960i 0.660991 0.750393i \(-0.270136\pi\)
0.123425 + 0.992354i \(0.460612\pi\)
\(312\) −7193.36 1622.61i −1.30527 0.294429i
\(313\) −1394.77 + 805.273i −0.251876 + 0.145421i −0.620623 0.784109i \(-0.713120\pi\)
0.368747 + 0.929530i \(0.379787\pi\)
\(314\) 1602.89 + 7022.72i 0.288077 + 1.26215i
\(315\) 1832.65 + 3819.86i 0.327804 + 0.683252i
\(316\) −456.155 + 1998.54i −0.0812048 + 0.355781i
\(317\) −2571.50 8336.59i −0.455614 1.47706i −0.834181 0.551491i \(-0.814059\pi\)
0.378567 0.925574i \(-0.376417\pi\)
\(318\) 6026.09 4830.76i 1.06266 0.851873i
\(319\) −3213.04 8186.70i −0.563937 1.43689i
\(320\) −3642.39 + 1123.53i −0.636299 + 0.196272i
\(321\) −284.973 3677.20i −0.0495502 0.639382i
\(322\) −856.056 + 486.795i −0.148156 + 0.0842485i
\(323\) −3176.19 + 724.944i −0.547145 + 0.124882i
\(324\) −2866.69 + 461.950i −0.491545 + 0.0792096i
\(325\) −2723.12 1572.19i −0.464774 0.268337i
\(326\) 1724.06 5589.26i 0.292904 0.949573i
\(327\) 5214.10 2061.70i 0.881775 0.348661i
\(328\) 7658.12 + 6107.14i 1.28917 + 1.02808i
\(329\) 1609.25 356.226i 0.269669 0.0596942i
\(330\) −1632.57 + 2407.67i −0.272333 + 0.401630i
\(331\) 5577.18 5174.86i 0.926131 0.859324i −0.0642156 0.997936i \(-0.520455\pi\)
0.990347 + 0.138612i \(0.0442641\pi\)
\(332\) −2637.25 + 397.502i −0.435958 + 0.0657101i
\(333\) −2421.85 + 6264.25i −0.398548 + 1.03087i
\(334\) −307.223 + 2038.29i −0.0503308 + 0.333923i
\(335\) −618.521 + 297.864i −0.100876 + 0.0485792i
\(336\) 981.130 1220.23i 0.159301 0.198122i
\(337\) 4582.87 + 2207.00i 0.740786 + 0.356744i 0.765916 0.642940i \(-0.222286\pi\)
−0.0251299 + 0.999684i \(0.508000\pi\)
\(338\) 1461.62 2143.81i 0.235212 0.344993i
\(339\) 8469.72 + 4052.30i 1.35697 + 0.649236i
\(340\) −123.447 + 1647.29i −0.0196908 + 0.262755i
\(341\) −548.121 + 1396.59i −0.0870452 + 0.221788i
\(342\) 2965.45 2043.97i 0.468868 0.323174i
\(343\) −6219.76 + 1291.57i −0.979113 + 0.203318i
\(344\) 2197.27i 0.344386i
\(345\) −84.3244 + 1164.97i −0.0131591 + 0.181797i
\(346\) −1922.75 144.090i −0.298750 0.0223882i
\(347\) −7578.16 + 8167.32i −1.17238 + 1.26353i −0.214387 + 0.976749i \(0.568775\pi\)
−0.957996 + 0.286780i \(0.907415\pi\)
\(348\) 5279.97 + 1613.96i 0.813322 + 0.248613i
\(349\) 310.479 644.716i 0.0476205 0.0988850i −0.875801 0.482672i \(-0.839666\pi\)
0.923421 + 0.383787i \(0.125380\pi\)
\(350\) 1639.26 1101.97i 0.250350 0.168294i
\(351\) 1783.01 8096.05i 0.271139 1.23115i
\(352\) −5200.47 783.845i −0.787461 0.118691i
\(353\) 3304.93 2253.27i 0.498311 0.339743i −0.287941 0.957648i \(-0.592971\pi\)
0.786253 + 0.617905i \(0.212018\pi\)
\(354\) −3605.79 + 1747.77i −0.541372 + 0.262409i
\(355\) −4818.97 5193.62i −0.720464 0.776475i
\(356\) −2359.27 2958.43i −0.351239 0.440440i
\(357\) −2338.92 4088.89i −0.346747 0.606182i
\(358\) −3539.89 + 4438.88i −0.522595 + 0.655313i
\(359\) −6048.56 + 453.277i −0.889222 + 0.0666380i −0.511502 0.859282i \(-0.670911\pi\)
−0.377720 + 0.925920i \(0.623292\pi\)
\(360\) −1646.10 5241.74i −0.240992 0.767400i
\(361\) −1214.63 + 2103.81i −0.177086 + 0.306722i
\(362\) 1705.82 + 2954.56i 0.247668 + 0.428974i
\(363\) 1096.90 637.018i 0.158601 0.0921068i
\(364\) −2154.69 3789.14i −0.310264 0.545617i
\(365\) −7403.32 1689.76i −1.06166 0.242318i
\(366\) −2968.86 4330.82i −0.424002 0.618512i
\(367\) −12551.4 + 4926.05i −1.78522 + 0.700648i −0.788941 + 0.614469i \(0.789370\pi\)
−0.996280 + 0.0861786i \(0.972534\pi\)
\(368\) 401.821 157.703i 0.0569195 0.0223393i
\(369\) −6821.86 + 8644.16i −0.962418 + 1.21950i
\(370\) −4118.07 939.922i −0.578616 0.132065i
\(371\) 13567.8 + 2136.01i 1.89866 + 0.298911i
\(372\) −473.005 814.478i −0.0659251 0.113518i
\(373\) 6669.83 + 11552.5i 0.925873 + 1.60366i 0.790151 + 0.612913i \(0.210002\pi\)
0.135723 + 0.990747i \(0.456664\pi\)
\(374\) 1617.16 2801.00i 0.223587 0.387263i
\(375\) −19.9498 7845.89i −0.00274721 1.08043i
\(376\) −2131.40 + 159.726i −0.292336 + 0.0219076i
\(377\) −9828.05 + 12324.0i −1.34263 + 1.68360i
\(378\) 4074.97 + 3242.51i 0.554481 + 0.441208i
\(379\) −2759.37 3460.14i −0.373982 0.468959i 0.558851 0.829268i \(-0.311242\pi\)
−0.932833 + 0.360310i \(0.882671\pi\)
\(380\) −1527.74 1646.51i −0.206240 0.222274i
\(381\) −4046.59 8348.46i −0.544129 1.12258i
\(382\) 50.6656 34.5432i 0.00678606 0.00462666i
\(383\) −6110.66 921.034i −0.815249 0.122879i −0.271835 0.962344i \(-0.587630\pi\)
−0.543414 + 0.839465i \(0.682869\pi\)
\(384\) 1423.23 1327.32i 0.189138 0.176391i
\(385\) −5120.36 + 737.497i −0.677813 + 0.0976269i
\(386\) 1718.67 3568.85i 0.226626 0.470595i
\(387\) 2470.17 12.5619i 0.324459 0.00165002i
\(388\) −560.728 + 604.321i −0.0733676 + 0.0790715i
\(389\) 13821.2 + 1035.76i 1.80145 + 0.135000i 0.932793 0.360412i \(-0.117364\pi\)
0.868658 + 0.495412i \(0.164983\pi\)
\(390\) 5200.27 + 376.412i 0.675194 + 0.0488727i
\(391\) 1298.65i 0.167969i
\(392\) 8222.08 507.926i 1.05938 0.0654442i
\(393\) 1075.72 + 3456.17i 0.138073 + 0.443615i
\(394\) 2519.65 6419.98i 0.322179 0.820898i
\(395\) 325.864 4348.36i 0.0415089 0.553898i
\(396\) 510.592 3508.53i 0.0647935 0.445228i
\(397\) −8602.58 + 12617.7i −1.08753 + 1.59512i −0.327970 + 0.944688i \(0.606364\pi\)
−0.759565 + 0.650432i \(0.774588\pi\)
\(398\) −4091.98 1970.60i −0.515358 0.248184i
\(399\) 6238.63 + 1450.26i 0.782762 + 0.181965i
\(400\) −780.060 + 375.657i −0.0975075 + 0.0469572i
\(401\) −2009.57 + 13332.6i −0.250257 + 1.66035i 0.412083 + 0.911146i \(0.364801\pi\)
−0.662341 + 0.749203i \(0.730437\pi\)
\(402\) −524.436 + 661.064i −0.0650659 + 0.0820171i
\(403\) 2659.01 400.781i 0.328672 0.0495393i
\(404\) 1732.83 1607.83i 0.213394 0.198001i
\(405\) 5883.35 1880.51i 0.721842 0.230725i
\(406\) −4237.74 8949.27i −0.518019 1.09395i
\(407\) −6411.50 5113.00i −0.780851 0.622708i
\(408\) 2246.18 + 5680.65i 0.272554 + 0.689299i
\(409\) 348.952 1131.28i 0.0421872 0.136768i −0.932029 0.362383i \(-0.881963\pi\)
0.974216 + 0.225616i \(0.0724393\pi\)
\(410\) −5997.79 3462.82i −0.722462 0.417114i
\(411\) 2084.72 + 1924.50i 0.250199 + 0.230969i
\(412\) 1675.41 382.401i 0.200343 0.0457270i
\(413\) −6616.17 2646.81i −0.788282 0.315353i
\(414\) 531.303 + 1333.75i 0.0630727 + 0.158334i
\(415\) 5421.18 1672.21i 0.641241 0.197797i
\(416\) 3443.81 + 8774.69i 0.405882 + 1.03417i
\(417\) 2632.24 + 3283.56i 0.309116 + 0.385604i
\(418\) 1296.25 + 4202.33i 0.151678 + 0.491729i
\(419\) 3460.04 15159.4i 0.403422 1.76751i −0.209950 0.977712i \(-0.567330\pi\)
0.613371 0.789795i \(-0.289813\pi\)
\(420\) 1635.09 2806.02i 0.189962 0.325999i
\(421\) 1097.16 + 4806.96i 0.127012 + 0.556477i 0.997887 + 0.0649724i \(0.0206959\pi\)
−0.870875 + 0.491505i \(0.836447\pi\)
\(422\) −1144.62 + 660.848i −0.132036 + 0.0762312i
\(423\) −191.749 2395.20i −0.0220406 0.275316i
\(424\) −17019.9 5249.93i −1.94943 0.601319i
\(425\) 194.655 + 2597.49i 0.0222168 + 0.296463i
\(426\) −8114.57 3160.95i −0.922892 0.359503i
\(427\) 2137.42 9089.75i 0.242241 1.03017i
\(428\) −2210.39 + 1762.73i −0.249634 + 0.199077i
\(429\) 8779.14 + 5038.92i 0.988021 + 0.567089i
\(430\) 231.550 + 1536.23i 0.0259682 + 0.172288i
\(431\) −1467.85 2152.94i −0.164046 0.240611i 0.735410 0.677622i \(-0.236990\pi\)
−0.899456 + 0.437011i \(0.856037\pi\)
\(432\) −1565.32 1661.41i −0.174332 0.185034i
\(433\) 4006.07 + 8318.69i 0.444618 + 0.923258i 0.996029 + 0.0890248i \(0.0283750\pi\)
−0.551412 + 0.834233i \(0.685911\pi\)
\(434\) −508.462 + 1610.85i −0.0562372 + 0.178164i
\(435\) −11617.6 1720.87i −1.28051 0.189677i
\(436\) −3551.14 2421.13i −0.390066 0.265942i
\(437\) 1294.41 + 1201.04i 0.141693 + 0.131472i
\(438\) −9094.53 + 2100.11i −0.992132 + 0.229103i
\(439\) −4769.62 1871.94i −0.518546 0.203514i 0.0916110 0.995795i \(-0.470798\pi\)
−0.610157 + 0.792281i \(0.708894\pi\)
\(440\) 6708.53 0.726856
\(441\) 618.016 + 9240.36i 0.0667332 + 0.997771i
\(442\) −5797.00 −0.623835
\(443\) 14799.7 + 5808.44i 1.58725 + 0.622951i 0.984564 0.175026i \(-0.0560010\pi\)
0.602688 + 0.797977i \(0.294096\pi\)
\(444\) 5016.21 1158.34i 0.536168 0.123812i
\(445\) 5900.42 + 5474.79i 0.628555 + 0.583214i
\(446\) −10267.8 7000.49i −1.09013 0.743235i
\(447\) 223.675 + 33.1321i 0.0236677 + 0.00350581i
\(448\) −8304.44 677.069i −0.875777 0.0714030i
\(449\) 708.238 + 1470.67i 0.0744406 + 0.154577i 0.934868 0.354996i \(-0.115518\pi\)
−0.860427 + 0.509573i \(0.829803\pi\)
\(450\) −1262.59 2588.05i −0.132265 0.271116i
\(451\) −7574.28 11109.4i −0.790818 1.15992i
\(452\) −1072.70 7116.88i −0.111627 0.740597i
\(453\) 15163.4 + 8703.25i 1.57271 + 0.902681i
\(454\) 7660.62 6109.14i 0.791918 0.631534i
\(455\) 5733.46 + 7286.96i 0.590745 + 0.750809i
\(456\) −7739.41 3014.81i −0.794805 0.309608i
\(457\) 45.1480 + 602.458i 0.00462130 + 0.0616669i 0.999038 0.0438609i \(-0.0139658\pi\)
−0.994416 + 0.105528i \(0.966347\pi\)
\(458\) −5226.76 1612.24i −0.533254 0.164487i
\(459\) −6373.34 + 2557.63i −0.648109 + 0.260087i
\(460\) 775.389 447.671i 0.0785928 0.0453756i
\(461\) −3296.33 14442.1i −0.333027 1.45908i −0.813238 0.581932i \(-0.802297\pi\)
0.480211 0.877153i \(-0.340560\pi\)
\(462\) −5268.10 + 3560.88i −0.530507 + 0.358587i
\(463\) −2062.43 + 9036.11i −0.207018 + 0.907006i 0.759520 + 0.650484i \(0.225434\pi\)
−0.966538 + 0.256522i \(0.917423\pi\)
\(464\) 1279.33 + 4147.48i 0.127998 + 0.414961i
\(465\) 1253.14 + 1563.21i 0.124974 + 0.155898i
\(466\) 1448.87 + 3691.67i 0.144030 + 0.366982i
\(467\) 13678.8 4219.35i 1.35542 0.418090i 0.469908 0.882715i \(-0.344287\pi\)
0.885507 + 0.464625i \(0.153811\pi\)
\(468\) −5903.55 + 2351.69i −0.583102 + 0.232280i
\(469\) −1497.13 + 102.336i −0.147401 + 0.0100755i
\(470\) 1473.34 336.281i 0.144596 0.0330032i
\(471\) 13722.3 + 12667.6i 1.34244 + 1.23926i
\(472\) 8002.80 + 4620.42i 0.780421 + 0.450576i
\(473\) −889.041 + 2882.20i −0.0864231 + 0.280177i
\(474\) −1970.84 4984.30i −0.190978 0.482989i
\(475\) −2769.02 2208.22i −0.267477 0.213305i
\(476\) −1587.98 + 3242.95i −0.152910 + 0.312270i
\(477\) 5804.67 19163.7i 0.557185 1.83951i
\(478\) 5321.22 4937.37i 0.509178 0.472448i
\(479\) −7015.45 + 1057.41i −0.669194 + 0.100865i −0.474847 0.880068i \(-0.657497\pi\)
−0.194347 + 0.980933i \(0.562259\pi\)
\(480\) −4364.88 + 5502.03i −0.415060 + 0.523192i
\(481\) −2190.66 + 14534.1i −0.207663 + 1.37775i
\(482\) −7300.84 + 3515.90i −0.689925 + 0.332250i
\(483\) −1116.98 + 2295.85i −0.105227 + 0.216284i
\(484\) −876.038 421.878i −0.0822725 0.0396204i
\(485\) 987.844 1448.90i 0.0924859 0.135652i
\(486\) 5499.22 5234.20i 0.513271 0.488535i
\(487\) 560.330 7477.09i 0.0521376 0.695727i −0.908493 0.417899i \(-0.862766\pi\)
0.960631 0.277828i \(-0.0896145\pi\)
\(488\) −4423.90 + 11271.9i −0.410370 + 1.04560i
\(489\) −4506.63 14479.3i −0.416763 1.33901i
\(490\) −5694.99 + 1221.57i −0.525047 + 0.112622i
\(491\) 3.23399i 0.000297246i 1.00000 0.000148623i \(4.73082e-5\pi\)
−1.00000 0.000148623i \(0.999953\pi\)
\(492\) 8419.02 + 609.395i 0.771461 + 0.0558407i
\(493\) 13021.3 + 975.813i 1.18956 + 0.0891449i
\(494\) 5361.25 5778.05i 0.488287 0.526248i
\(495\) 38.3531 + 7541.72i 0.00348251 + 0.684798i
\(496\) 321.258 667.098i 0.0290824 0.0603903i
\(497\) −5563.40 14453.0i −0.502118 1.30444i
\(498\) 5099.70 4756.02i 0.458882 0.427956i
\(499\) 12800.5 + 1929.36i 1.14835 + 0.173086i 0.695518 0.718509i \(-0.255175\pi\)
0.452834 + 0.891595i \(0.350413\pi\)
\(500\) −4969.21 + 3387.95i −0.444460 + 0.303028i
\(501\) 2330.98 + 4809.01i 0.207865 + 0.428844i
\(502\) 518.029 + 558.302i 0.0460573 + 0.0496380i
\(503\) 2113.92 + 2650.77i 0.187386 + 0.234974i 0.866646 0.498923i \(-0.166271\pi\)
−0.679261 + 0.733897i \(0.737699\pi\)
\(504\) 915.026 11974.6i 0.0808700 1.05832i
\(505\) −3135.09 + 3931.27i −0.276256 + 0.346415i
\(506\) −1748.12 + 131.003i −0.153583 + 0.0115095i
\(507\) −17.1046 6726.89i −0.00149830 0.589254i
\(508\) −3555.81 + 6158.85i −0.310558 + 0.537903i
\(509\) 885.165 + 1533.15i 0.0770810 + 0.133508i 0.901989 0.431758i \(-0.142107\pi\)
−0.824908 + 0.565267i \(0.808773\pi\)
\(510\) −2169.06 3734.95i −0.188328 0.324287i
\(511\) −13653.1 9440.17i −1.18196 0.817238i
\(512\) 5578.13 + 1273.17i 0.481486 + 0.109896i
\(513\) 3345.00 8717.88i 0.287885 0.750300i
\(514\) 2684.27 1053.50i 0.230346 0.0904043i
\(515\) −3402.82 + 1335.51i −0.291157 + 0.114271i
\(516\) −1070.63 1561.78i −0.0913411 0.133244i
\(517\) 2860.42 + 652.872i 0.243329 + 0.0555383i
\(518\) −7594.51 5251.05i −0.644176 0.445402i
\(519\) −4322.80 + 2510.45i −0.365607 + 0.212324i
\(520\) −6011.98 10413.0i −0.507005 0.878158i
\(521\) −3982.40 + 6897.72i −0.334879 + 0.580028i −0.983462 0.181117i \(-0.942029\pi\)
0.648582 + 0.761144i \(0.275362\pi\)
\(522\) −13772.5 + 4325.07i −1.15480 + 0.362650i
\(523\) −11187.9 + 838.420i −0.935400 + 0.0700985i −0.533701 0.845673i \(-0.679199\pi\)
−0.401699 + 0.915772i \(0.631580\pi\)
\(524\) 1729.98 2169.33i 0.144226 0.180854i
\(525\) 1890.00 4759.45i 0.157117 0.395656i
\(526\) 5427.46 + 6805.81i 0.449902 + 0.564159i
\(527\) −1515.13 1632.92i −0.125238 0.134974i
\(528\) 2508.10 1215.70i 0.206725 0.100202i
\(529\) 9471.28 6457.41i 0.778440 0.530731i
\(530\) 12452.8 + 1876.95i 1.02059 + 0.153829i
\(531\) −5148.52 + 9023.16i −0.420766 + 0.737423i
\(532\) −1763.74 4581.98i −0.143737 0.373409i
\(533\) −10456.3 + 21712.8i −0.849745 + 1.76451i
\(534\) 9461.47 + 2892.15i 0.766738 + 0.234374i
\(535\) 4090.49 4408.50i 0.330556 0.356255i
\(536\) 1940.54 + 145.423i 0.156378 + 0.0117189i
\(537\) −1062.67 + 14681.2i −0.0853960 + 1.17978i
\(538\) 4982.30i 0.399260i
\(539\) −10990.6 2660.50i −0.878289 0.212608i
\(540\) −3724.10 2923.67i −0.296777 0.232991i
\(541\) −352.160 + 897.290i −0.0279862 + 0.0713077i −0.944184 0.329419i \(-0.893147\pi\)
0.916198 + 0.400727i \(0.131242\pi\)
\(542\) −61.8873 + 825.829i −0.00490459 + 0.0654472i
\(543\) 7978.82 + 3817.43i 0.630578 + 0.301698i
\(544\) 4398.75 6451.78i 0.346682 0.508489i
\(545\) 8237.06 + 3966.76i 0.647407 + 0.311775i
\(546\) 10248.4 + 4986.05i 0.803276 + 0.390812i
\(547\) 2186.74 1053.08i 0.170929 0.0823153i −0.346463 0.938064i \(-0.612617\pi\)
0.517392 + 0.855749i \(0.326903\pi\)
\(548\) 324.145 2150.56i 0.0252678 0.167641i
\(549\) −12697.2 4908.90i −0.987070 0.381615i
\(550\) 3476.84 524.049i 0.269551 0.0406282i
\(551\) −13015.2 + 12076.3i −1.00629 + 0.933698i
\(552\) 1858.13 2740.32i 0.143274 0.211297i
\(553\) 4191.80 8560.44i 0.322339 0.658277i
\(554\) 189.234 + 150.909i 0.0145122 + 0.0115731i
\(555\) −10183.9 + 4026.78i −0.778884 + 0.307977i
\(556\) 950.857 3082.60i 0.0725275 0.235128i
\(557\) −16496.8 9524.42i −1.25492 0.724529i −0.282838 0.959168i \(-0.591276\pi\)
−0.972083 + 0.234639i \(0.924609\pi\)
\(558\) 2224.14 + 1057.19i 0.168737 + 0.0802050i
\(559\) 5270.51 1202.96i 0.398781 0.0910193i
\(560\) 2547.12 174.108i 0.192206 0.0131382i
\(561\) −647.895 8360.24i −0.0487596 0.629180i
\(562\) 1358.41 419.014i 0.101959 0.0314503i
\(563\) 5406.54 + 13775.6i 0.404722 + 1.03121i 0.977393 + 0.211429i \(0.0678118\pi\)
−0.572672 + 0.819785i \(0.694093\pi\)
\(564\) −1437.14 + 1152.07i −0.107295 + 0.0860121i
\(565\) 4512.62 + 14629.6i 0.336013 + 1.08933i
\(566\) 308.666 1352.36i 0.0229226 0.100431i
\(567\) 13467.1 + 960.212i 0.997468 + 0.0711201i
\(568\) 4468.90 + 19579.5i 0.330125 + 1.44637i
\(569\) −2329.51 + 1344.95i −0.171631 + 0.0990914i −0.583355 0.812217i \(-0.698260\pi\)
0.411723 + 0.911309i \(0.364927\pi\)
\(570\) 5728.75 + 1292.23i 0.420967 + 0.0949574i
\(571\) 6482.59 + 1999.61i 0.475110 + 0.146552i 0.523057 0.852298i \(-0.324792\pi\)
−0.0479466 + 0.998850i \(0.515268\pi\)
\(572\) −579.856 7737.63i −0.0423863 0.565606i
\(573\) 57.7056 148.138i 0.00420713 0.0108003i
\(574\) −9361.05 11897.4i −0.680701 0.865139i
\(575\) 1103.79 880.242i 0.0800542 0.0638411i
\(576\) −2642.68 + 11856.0i −0.191166 + 0.857636i
\(577\) 989.632 + 6565.78i 0.0714019 + 0.473721i 0.995744 + 0.0921571i \(0.0293762\pi\)
−0.924343 + 0.381564i \(0.875386\pi\)
\(578\) −2841.72 4168.03i −0.204498 0.299944i
\(579\) −1556.42 10151.0i −0.111715 0.728602i
\(580\) 3906.07 + 8111.04i 0.279639 + 0.580677i
\(581\) 12360.0 + 1007.72i 0.882579 + 0.0719575i
\(582\) 315.834 2132.20i 0.0224944 0.151860i
\(583\) 20201.1 + 13772.9i 1.43507 + 0.978412i
\(584\) 15779.1 + 14640.9i 1.11806 + 1.03741i
\(585\) 11672.0 6818.19i 0.824917 0.481876i
\(586\) 5032.83 + 1975.24i 0.354785 + 0.139243i
\(587\) 12409.0 0.872530 0.436265 0.899818i \(-0.356301\pi\)
0.436265 + 0.899818i \(0.356301\pi\)
\(588\) 5596.64 4367.29i 0.392520 0.306299i
\(589\) 3028.83 0.211886
\(590\) −6082.10 2387.05i −0.424400 0.166565i
\(591\) −4023.09 17422.0i −0.280013 1.21260i
\(592\) 2966.76 + 2752.76i 0.205968 + 0.191111i
\(593\) −17371.5 11843.7i −1.20297 0.820173i −0.215276 0.976553i \(-0.569065\pi\)
−0.987697 + 0.156380i \(0.950018\pi\)
\(594\) 4085.73 + 8321.13i 0.282221 + 0.574781i
\(595\) 2312.02 7324.68i 0.159300 0.504677i
\(596\) −75.2042 156.163i −0.00516860 0.0107327i
\(597\) −11639.0 + 1784.57i −0.797908 + 0.122341i
\(598\) 1769.95 + 2596.04i 0.121035 + 0.177525i
\(599\) −38.5359 255.669i −0.00262861 0.0174397i 0.987478 0.157756i \(-0.0504260\pi\)
−0.990107 + 0.140317i \(0.955188\pi\)
\(600\) −3305.77 + 5759.53i −0.224929 + 0.391887i
\(601\) 16121.6 12856.5i 1.09420 0.872594i 0.101696 0.994816i \(-0.467573\pi\)
0.992503 + 0.122221i \(0.0390017\pi\)
\(602\) −777.343 + 3305.78i −0.0526281 + 0.223810i
\(603\) −152.391 + 2182.39i −0.0102916 + 0.147386i
\(604\) −1001.53 13364.5i −0.0674697 0.900320i
\(605\) 1976.41 + 609.642i 0.132814 + 0.0409677i
\(606\) −1359.98 + 6029.07i −0.0911639 + 0.404149i
\(607\) 7424.79 4286.71i 0.496479 0.286643i −0.230779 0.973006i \(-0.574127\pi\)
0.727259 + 0.686364i \(0.240794\pi\)
\(608\) 2362.59 + 10351.2i 0.157592 + 0.690454i
\(609\) −22180.7 12924.9i −1.47588 0.860004i
\(610\) 1905.15 8347.00i 0.126454 0.554033i
\(611\) −1550.03 5025.06i −0.102631 0.332720i
\(612\) 4364.48 + 2943.25i 0.288274 + 0.194402i
\(613\) 4037.08 + 10286.3i 0.265997 + 0.677749i 0.999999 0.00139806i \(-0.000445016\pi\)
−0.734002 + 0.679147i \(0.762350\pi\)
\(614\) 18698.0 5767.57i 1.22897 0.379088i
\(615\) −17901.8 + 1387.34i −1.17377 + 0.0909639i
\(616\) 13615.0 + 5446.69i 0.890525 + 0.356255i
\(617\) 18926.5 4319.85i 1.23493 0.281865i 0.445263 0.895400i \(-0.353110\pi\)
0.789668 + 0.613535i \(0.210253\pi\)
\(618\) −3047.76 + 3301.51i −0.198380 + 0.214897i
\(619\) −10570.6 6102.95i −0.686380 0.396282i 0.115875 0.993264i \(-0.463033\pi\)
−0.802254 + 0.596982i \(0.796366\pi\)
\(620\) 452.677 1467.54i 0.0293225 0.0950612i
\(621\) 3091.29 + 2073.24i 0.199757 + 0.133972i
\(622\) 7054.77 + 5625.99i 0.454775 + 0.362671i
\(623\) 7529.92 + 15901.7i 0.484237 + 1.02261i
\(624\) −4134.70 2803.62i −0.265257 0.179863i
\(625\) 4502.08 4177.32i 0.288133 0.267349i
\(626\) −3191.84 + 481.093i −0.203788 + 0.0307162i
\(627\) 8932.11 + 7086.04i 0.568922 + 0.451338i
\(628\) 2133.62 14155.6i 0.135574 0.899476i
\(629\) 10970.1 5282.91i 0.695398 0.334886i
\(630\) 622.148 + 8468.54i 0.0393444 + 0.535547i
\(631\) 15844.5 + 7630.33i 0.999622 + 0.481393i 0.860810 0.508926i \(-0.169957\pi\)
0.138812 + 0.990319i \(0.455672\pi\)
\(632\) −6962.91 + 10212.7i −0.438243 + 0.642785i
\(633\) −1478.91 + 3091.06i −0.0928613 + 0.194089i
\(634\) 1306.67 17436.3i 0.0818526 1.09225i
\(635\) 5526.72 14081.8i 0.345388 0.880033i
\(636\) −14655.5 + 4561.47i −0.913725 + 0.284393i
\(637\) 5719.77 + 19443.9i 0.355770 + 1.20941i
\(638\) 17626.4i 1.09379i
\(639\) −21985.7 + 5135.87i −1.36110 + 0.317953i
\(640\) 3164.39 + 237.139i 0.195443 + 0.0146464i
\(641\) 9638.37 10387.7i 0.593905 0.640077i −0.362548 0.931965i \(-0.618093\pi\)
0.956452 + 0.291888i \(0.0942835\pi\)
\(642\) 2160.87 7069.14i 0.132839 0.434574i
\(643\) 11626.6 24142.8i 0.713074 1.48071i −0.156899 0.987615i \(-0.550150\pi\)
0.869973 0.493099i \(-0.164136\pi\)
\(644\) 1937.12 279.008i 0.118530 0.0170721i
\(645\) 2747.11 + 2945.63i 0.167702 + 0.179820i
\(646\) −6456.57 973.171i −0.393236 0.0592708i
\(647\) 4861.60 3314.58i 0.295408 0.201406i −0.406542 0.913632i \(-0.633265\pi\)
0.701950 + 0.712226i \(0.252313\pi\)
\(648\) −17108.0 3722.14i −1.03714 0.225647i
\(649\) −8627.95 9298.72i −0.521844 0.562414i
\(650\) −3929.27 4927.15i −0.237105 0.297321i
\(651\) 1274.07 + 4189.98i 0.0767045 + 0.252255i
\(652\) −7247.61 + 9088.21i −0.435335 + 0.545892i
\(653\) −18502.8 + 1386.59i −1.10883 + 0.0830956i −0.616533 0.787329i \(-0.711463\pi\)
−0.492301 + 0.870425i \(0.663844\pi\)
\(654\) 11237.5 28.5736i 0.671895 0.00170844i
\(655\) −2951.09 + 5111.43i −0.176043 + 0.304916i
\(656\) 3317.86 + 5746.70i 0.197470 + 0.342029i
\(657\) −16369.1 + 17822.6i −0.972022 + 1.05833i
\(658\) 3263.19 + 513.732i 0.193332 + 0.0304367i
\(659\) −11425.1 2607.71i −0.675357 0.154146i −0.128931 0.991654i \(-0.541155\pi\)
−0.546426 + 0.837508i \(0.684012\pi\)
\(660\) 4768.32 3268.78i 0.281222 0.192783i
\(661\) −18512.6 + 7265.66i −1.08934 + 0.427536i −0.840944 0.541122i \(-0.818000\pi\)
−0.248400 + 0.968658i \(0.579905\pi\)
\(662\) 14194.4 5570.88i 0.833354 0.327067i
\(663\) −12396.2 + 8497.86i −0.726138 + 0.497782i
\(664\) −15678.2 3578.45i −0.916315 0.209143i
\(665\) 5162.51 + 9078.56i 0.301043 + 0.529401i
\(666\) −9105.23 + 9913.74i −0.529760 + 0.576801i
\(667\) −3538.70 6129.22i −0.205426 0.355808i
\(668\) 2048.27 3547.72i 0.118638 0.205487i
\(669\) −32218.7 + 81.9228i −1.86195 + 0.00473441i
\(670\) −1372.06 + 102.822i −0.0791156 + 0.00592889i
\(671\) 10363.7 12995.6i 0.596251 0.747675i
\(672\) −13325.7 + 7622.52i −0.764954 + 0.437567i
\(673\) −13383.1 16781.8i −0.766536 0.961206i 0.233401 0.972381i \(-0.425014\pi\)
−0.999938 + 0.0111743i \(0.996443\pi\)
\(674\) 6934.15 + 7473.24i 0.396281 + 0.427089i
\(675\) −6493.76 3683.42i −0.370289 0.210037i
\(676\) −4260.50 + 2904.76i −0.242404 + 0.165268i
\(677\) −15403.9 2321.76i −0.874473 0.131806i −0.303556 0.952814i \(-0.598174\pi\)
−0.570917 + 0.821008i \(0.693412\pi\)
\(678\) 12834.6 + 13762.0i 0.727004 + 0.779539i
\(679\) 3181.20 2138.51i 0.179799 0.120867i
\(680\) −4321.69 + 8974.09i −0.243720 + 0.506089i
\(681\) 7425.95 24293.5i 0.417861 1.36700i
\(682\) −2045.24 + 2204.24i −0.114833 + 0.123761i
\(683\) 7382.13 + 553.214i 0.413572 + 0.0309929i 0.279892 0.960032i \(-0.409701\pi\)
0.133680 + 0.991025i \(0.457321\pi\)
\(684\) −6970.04 + 1628.20i −0.389629 + 0.0910173i
\(685\) 4626.25i 0.258044i
\(686\) −12549.8 2144.61i −0.698474 0.119361i
\(687\) −13540.2 + 4214.34i −0.751954 + 0.234043i
\(688\) 543.827 1385.65i 0.0301355 0.0767839i
\(689\) 3274.80 43699.2i 0.181074 2.41626i
\(690\) −1010.34 + 2111.72i −0.0557437 + 0.116510i
\(691\) −8857.40 + 12991.4i −0.487629 + 0.715220i −0.988654 0.150213i \(-0.952004\pi\)
0.501025 + 0.865433i \(0.332956\pi\)
\(692\) 3452.41 + 1662.59i 0.189654 + 0.0913328i
\(693\) −6045.33 + 15337.1i −0.331375 + 0.840704i
\(694\) −20118.7 + 9688.67i −1.10043 + 0.529938i
\(695\) −1022.74 + 6785.40i −0.0558195 + 0.370338i
\(696\) 26080.4 + 20690.2i 1.42037 + 1.12681i
\(697\) 19740.6 2975.42i 1.07278 0.161696i
\(698\) 1051.33 975.493i 0.0570107 0.0528982i
\(699\) 8509.90 + 5770.31i 0.460478 + 0.312236i
\(700\) −3832.69 + 848.409i −0.206946 + 0.0458098i
\(701\) 15539.0 + 12391.9i 0.837232 + 0.667670i 0.945203 0.326484i \(-0.105864\pi\)
−0.107971 + 0.994154i \(0.534435\pi\)
\(702\) 9254.64 13799.1i 0.497570 0.741897i
\(703\) −4879.83 + 15820.0i −0.261801 + 0.848738i
\(704\) −12844.7 7415.91i −0.687647 0.397013i
\(705\) 2657.63 2878.89i 0.141974 0.153794i
\(706\) 7815.84 1783.91i 0.416647 0.0950970i
\(707\) −9554.49 + 5433.14i −0.508251 + 0.289016i
\(708\) 7939.60 615.296i 0.421452 0.0326613i
\(709\) −3651.01 + 1126.19i −0.193394 + 0.0596542i −0.389939 0.920841i \(-0.627504\pi\)
0.196545 + 0.980495i \(0.437028\pi\)
\(710\) −5187.76 13218.2i −0.274216 0.698690i
\(711\) −11520.9 7769.32i −0.607692 0.409806i
\(712\) −6725.19 21802.5i −0.353985 1.14759i
\(713\) −268.661 + 1177.08i −0.0141114 + 0.0618262i
\(714\) −1369.68 9341.16i −0.0717914 0.489614i
\(715\) 3672.78 + 16091.5i 0.192104 + 0.841662i
\(716\) 9771.59 5641.63i 0.510030 0.294466i
\(717\) 4141.11 18358.4i 0.215694 0.956217i
\(718\) −11616.6 3583.23i −0.603797 0.186247i
\(719\) −873.514 11656.2i −0.0453082 0.604595i −0.972934 0.231084i \(-0.925773\pi\)
0.927626 0.373511i \(-0.121846\pi\)
\(720\) 259.268 3712.97i 0.0134199 0.192187i
\(721\) −7990.34 52.3472i −0.412727 0.00270390i
\(722\) −3806.58 + 3035.65i −0.196214 + 0.156475i
\(723\) −10458.0 + 18220.7i −0.537951 + 0.937255i
\(724\) −1010.52 6704.39i −0.0518727 0.344153i
\(725\) 7996.60 + 11728.9i 0.409636 + 0.600826i
\(726\) 2512.90 385.296i 0.128461 0.0196965i
\(727\) 12470.7 + 25895.6i 0.636192 + 1.32107i 0.930828 + 0.365457i \(0.119087\pi\)
−0.294636 + 0.955610i \(0.595198\pi\)
\(728\) −3746.92 26014.5i −0.190756 1.32440i
\(729\) 4086.62 19254.1i 0.207622 0.978209i
\(730\) −12574.9 8573.44i −0.637560 0.434681i
\(731\) −3282.83 3046.02i −0.166101 0.154119i
\(732\) 2347.87 + 10167.5i 0.118552 + 0.513389i
\(733\) 6724.85 + 2639.31i 0.338865 + 0.132995i 0.528671 0.848827i \(-0.322691\pi\)
−0.189806 + 0.981822i \(0.560786\pi\)
\(734\) −27023.8 −1.35895
\(735\) −10387.4 + 10960.5i −0.521285 + 0.550047i
\(736\) −4232.31 −0.211963
\(737\) −2486.60 975.920i −0.124281 0.0487768i
\(738\) −19056.9 + 11132.1i −0.950533 + 0.555255i
\(739\) 7900.78 + 7330.85i 0.393281 + 0.364912i 0.851885 0.523729i \(-0.175460\pi\)
−0.458603 + 0.888641i \(0.651650\pi\)
\(740\) 6935.87 + 4728.79i 0.344551 + 0.234911i
\(741\) 2994.34 20214.8i 0.148448 1.00217i
\(742\) 23749.0 + 13919.7i 1.17501 + 0.688693i
\(743\) −2256.55 4685.78i −0.111420 0.231366i 0.837801 0.545975i \(-0.183841\pi\)
−0.949221 + 0.314610i \(0.898126\pi\)
\(744\) −860.709 5613.54i −0.0424128 0.276616i
\(745\) 207.694 + 304.631i 0.0102139 + 0.0149810i
\(746\) 3984.74 + 26437.0i 0.195565 + 1.29749i
\(747\) 3933.26 17645.9i 0.192651 0.864297i
\(748\) −5025.40 + 4007.62i −0.245651 + 0.195900i
\(749\) 11881.0 5625.98i 0.579601 0.274458i
\(750\) 5707.74 14652.5i 0.277889 0.713379i
\(751\) −93.9738 1253.99i −0.00456611 0.0609306i 0.994455 0.105160i \(-0.0335356\pi\)
−0.999021 + 0.0442299i \(0.985917\pi\)
\(752\) −1383.64 426.797i −0.0670960 0.0206964i
\(753\) 1926.17 + 434.485i 0.0932183 + 0.0210272i
\(754\) −27359.9 + 15796.2i −1.32147 + 0.762952i
\(755\) 6343.65 + 27793.4i 0.305787 + 1.33974i
\(756\) −5184.32 8957.22i −0.249407 0.430914i
\(757\) 5710.15 25017.8i 0.274160 1.20117i −0.630892 0.775871i \(-0.717311\pi\)
0.905052 0.425302i \(-0.139832\pi\)
\(758\) −2614.49 8475.98i −0.125281 0.406150i
\(759\) −3546.11 + 2842.71i −0.169586 + 0.135947i
\(760\) −4947.92 12607.1i −0.236158 0.601720i
\(761\) 17883.0 5516.16i 0.851848 0.262760i 0.162068 0.986780i \(-0.448184\pi\)
0.689780 + 0.724019i \(0.257707\pi\)
\(762\) −1436.69 18538.6i −0.0683013 0.881340i
\(763\) 13496.5 + 14738.3i 0.640376 + 0.699294i
\(764\) −118.810 + 27.1177i −0.00562619 + 0.00128414i
\(765\) −10113.4 4807.14i −0.477973 0.227193i
\(766\) −10726.1 6192.73i −0.505941 0.292105i
\(767\) −6701.47 + 21725.6i −0.315484 + 1.02277i
\(768\) 21018.4 8310.85i 0.987547 0.390484i
\(769\) −6155.06 4908.49i −0.288631 0.230175i 0.468461 0.883484i \(-0.344809\pi\)
−0.757091 + 0.653309i \(0.773380\pi\)
\(770\) −10093.0 2373.32i −0.472370 0.111076i
\(771\) 4195.68 6187.68i 0.195984 0.289032i
\(772\) −5770.68 +