Properties

Label 27.4.e.a.7.7
Level 27
Weight 4
Character 27.7
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.7
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.7

$q$-expansion

\(f(q)\) \(=\) \(q+(3.53135 - 1.28531i) q^{2} +(-2.46998 - 4.57157i) q^{3} +(4.69008 - 3.93544i) q^{4} +(1.06026 + 6.01302i) q^{5} +(-14.5982 - 12.9691i) q^{6} +(13.2194 + 11.0924i) q^{7} +(-3.52788 + 6.11047i) q^{8} +(-14.7984 + 22.5833i) q^{9} +O(q^{10})\) \(q+(3.53135 - 1.28531i) q^{2} +(-2.46998 - 4.57157i) q^{3} +(4.69008 - 3.93544i) q^{4} +(1.06026 + 6.01302i) q^{5} +(-14.5982 - 12.9691i) q^{6} +(13.2194 + 11.0924i) q^{7} +(-3.52788 + 6.11047i) q^{8} +(-14.7984 + 22.5833i) q^{9} +(11.4727 + 19.8713i) q^{10} +(6.89885 - 39.1253i) q^{11} +(-29.5755 - 11.7206i) q^{12} +(-25.7091 - 9.35736i) q^{13} +(60.9396 + 22.1802i) q^{14} +(24.8701 - 19.6990i) q^{15} +(-13.1096 + 74.3482i) q^{16} +(-54.8631 - 95.0258i) q^{17} +(-23.2320 + 98.7702i) q^{18} +(-61.0814 + 105.796i) q^{19} +(28.6366 + 24.0289i) q^{20} +(18.0580 - 87.8314i) q^{21} +(-25.9258 - 147.032i) q^{22} +(96.2392 - 80.7543i) q^{23} +(36.6482 + 1.03524i) q^{24} +(82.4294 - 30.0018i) q^{25} -102.815 q^{26} +(139.793 + 11.8718i) q^{27} +105.654 q^{28} +(-104.238 + 37.9395i) q^{29} +(62.5058 - 101.530i) q^{30} +(148.234 - 124.383i) q^{31} +(39.4639 + 223.811i) q^{32} +(-195.904 + 65.1000i) q^{33} +(-315.878 - 265.053i) q^{34} +(-52.6828 + 91.2494i) q^{35} +(19.4695 + 164.156i) q^{36} +(46.0186 + 79.7065i) q^{37} +(-79.7195 + 452.112i) q^{38} +(20.7231 + 140.643i) q^{39} +(-40.4828 - 14.7345i) q^{40} +(-103.221 - 37.5694i) q^{41} +(-49.1210 - 333.374i) q^{42} +(-74.3465 + 421.640i) q^{43} +(-121.619 - 210.651i) q^{44} +(-151.484 - 65.0392i) q^{45} +(236.061 - 408.869i) q^{46} +(-77.3688 - 64.9201i) q^{47} +(372.268 - 123.707i) q^{48} +(-7.84987 - 44.5188i) q^{49} +(252.526 - 211.894i) q^{50} +(-298.906 + 485.522i) q^{51} +(-157.403 + 57.2901i) q^{52} +338.157 q^{53} +(508.917 - 137.753i) q^{54} +242.576 q^{55} +(-114.416 + 41.6441i) q^{56} +(634.523 + 17.9240i) q^{57} +(-319.337 + 267.955i) q^{58} +(-54.4911 - 309.035i) q^{59} +(39.1183 - 190.265i) q^{60} +(-363.315 - 304.858i) q^{61} +(363.596 - 629.767i) q^{62} +(-446.130 + 134.388i) q^{63} +(125.046 + 216.586i) q^{64} +(29.0077 - 164.511i) q^{65} +(-608.132 + 481.688i) q^{66} +(299.134 + 108.876i) q^{67} +(-631.281 - 229.767i) q^{68} +(-606.882 - 240.503i) q^{69} +(-68.7582 + 389.947i) q^{70} +(385.771 + 668.176i) q^{71} +(-85.7875 - 170.097i) q^{72} +(-274.416 + 475.302i) q^{73} +(264.955 + 222.324i) q^{74} +(-340.754 - 302.727i) q^{75} +(129.878 + 736.574i) q^{76} +(525.192 - 440.689i) q^{77} +(253.951 + 470.026i) q^{78} +(972.757 - 354.055i) q^{79} -460.957 q^{80} +(-291.012 - 668.396i) q^{81} -412.798 q^{82} +(195.694 - 71.2269i) q^{83} +(-260.962 - 483.003i) q^{84} +(513.222 - 430.645i) q^{85} +(279.393 + 1584.52i) q^{86} +(430.908 + 382.821i) q^{87} +(214.736 + 180.185i) q^{88} +(-312.108 + 540.587i) q^{89} +(-618.539 - 34.9728i) q^{90} +(-236.064 - 408.875i) q^{91} +(133.566 - 757.488i) q^{92} +(-934.760 - 370.438i) q^{93} +(-356.659 - 129.813i) q^{94} +(-700.916 - 255.112i) q^{95} +(925.692 - 733.220i) q^{96} +(69.8451 - 396.111i) q^{97} +(-84.9410 - 147.122i) q^{98} +(781.487 + 734.792i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.53135 1.28531i 1.24852 0.454425i 0.368620 0.929580i \(-0.379830\pi\)
0.879902 + 0.475156i \(0.157608\pi\)
\(3\) −2.46998 4.57157i −0.475347 0.879798i
\(4\) 4.69008 3.93544i 0.586260 0.491930i
\(5\) 1.06026 + 6.01302i 0.0948323 + 0.537821i 0.994799 + 0.101861i \(0.0324798\pi\)
−0.899966 + 0.435959i \(0.856409\pi\)
\(6\) −14.5982 12.9691i −0.993283 0.882438i
\(7\) 13.2194 + 11.0924i 0.713781 + 0.598934i 0.925657 0.378363i \(-0.123513\pi\)
−0.211876 + 0.977297i \(0.567957\pi\)
\(8\) −3.52788 + 6.11047i −0.155912 + 0.270047i
\(9\) −14.7984 + 22.5833i −0.548091 + 0.836419i
\(10\) 11.4727 + 19.8713i 0.362799 + 0.628386i
\(11\) 6.89885 39.1253i 0.189098 1.07243i −0.731478 0.681865i \(-0.761169\pi\)
0.920576 0.390564i \(-0.127720\pi\)
\(12\) −29.5755 11.7206i −0.711476 0.281953i
\(13\) −25.7091 9.35736i −0.548495 0.199636i 0.0528828 0.998601i \(-0.483159\pi\)
−0.601378 + 0.798965i \(0.705381\pi\)
\(14\) 60.9396 + 22.1802i 1.16334 + 0.423422i
\(15\) 24.8701 19.6990i 0.428095 0.339085i
\(16\) −13.1096 + 74.3482i −0.204837 + 1.16169i
\(17\) −54.8631 95.0258i −0.782722 1.35571i −0.930351 0.366671i \(-0.880498\pi\)
0.147629 0.989043i \(-0.452836\pi\)
\(18\) −23.2320 + 98.7702i −0.304213 + 1.29335i
\(19\) −61.0814 + 105.796i −0.737528 + 1.27744i 0.216077 + 0.976376i \(0.430674\pi\)
−0.953605 + 0.301060i \(0.902660\pi\)
\(20\) 28.6366 + 24.0289i 0.320167 + 0.268652i
\(21\) 18.0580 87.8314i 0.187647 0.912685i
\(22\) −25.9258 147.032i −0.251245 1.42488i
\(23\) 96.2392 80.7543i 0.872490 0.732106i −0.0921311 0.995747i \(-0.529368\pi\)
0.964621 + 0.263641i \(0.0849234\pi\)
\(24\) 36.6482 + 1.03524i 0.311699 + 0.00880485i
\(25\) 82.4294 30.0018i 0.659435 0.240015i
\(26\) −102.815 −0.775527
\(27\) 139.793 + 11.8718i 0.996413 + 0.0846199i
\(28\) 105.654 0.713095
\(29\) −104.238 + 37.9395i −0.667465 + 0.242937i −0.653456 0.756964i \(-0.726682\pi\)
−0.0140090 + 0.999902i \(0.504459\pi\)
\(30\) 62.5058 101.530i 0.380398 0.617892i
\(31\) 148.234 124.383i 0.858826 0.720641i −0.102889 0.994693i \(-0.532809\pi\)
0.961715 + 0.274052i \(0.0883641\pi\)
\(32\) 39.4639 + 223.811i 0.218009 + 1.23639i
\(33\) −195.904 + 65.1000i −1.03341 + 0.343408i
\(34\) −315.878 265.053i −1.59331 1.33695i
\(35\) −52.6828 + 91.2494i −0.254429 + 0.440684i
\(36\) 19.4695 + 164.156i 0.0901365 + 0.759981i
\(37\) 46.0186 + 79.7065i 0.204471 + 0.354153i 0.949964 0.312360i \(-0.101119\pi\)
−0.745493 + 0.666513i \(0.767786\pi\)
\(38\) −79.7195 + 452.112i −0.340321 + 1.93006i
\(39\) 20.7231 + 140.643i 0.0850861 + 0.577461i
\(40\) −40.4828 14.7345i −0.160022 0.0582434i
\(41\) −103.221 37.5694i −0.393181 0.143106i 0.137861 0.990452i \(-0.455977\pi\)
−0.531042 + 0.847345i \(0.678199\pi\)
\(42\) −49.1210 333.374i −0.180465 1.22478i
\(43\) −74.3465 + 421.640i −0.263668 + 1.49534i 0.509132 + 0.860688i \(0.329966\pi\)
−0.772801 + 0.634649i \(0.781145\pi\)
\(44\) −121.619 210.651i −0.416700 0.721745i
\(45\) −151.484 65.0392i −0.501820 0.215455i
\(46\) 236.061 408.869i 0.756635 1.31053i
\(47\) −77.3688 64.9201i −0.240115 0.201480i 0.514787 0.857318i \(-0.327871\pi\)
−0.754902 + 0.655838i \(0.772315\pi\)
\(48\) 372.268 123.707i 1.11942 0.371991i
\(49\) −7.84987 44.5188i −0.0228859 0.129793i
\(50\) 252.526 211.894i 0.714250 0.599327i
\(51\) −298.906 + 485.522i −0.820690 + 1.33307i
\(52\) −157.403 + 57.2901i −0.419767 + 0.152783i
\(53\) 338.157 0.876404 0.438202 0.898876i \(-0.355615\pi\)
0.438202 + 0.898876i \(0.355615\pi\)
\(54\) 508.917 137.753i 1.28250 0.347145i
\(55\) 242.576 0.594707
\(56\) −114.416 + 41.6441i −0.273027 + 0.0993738i
\(57\) 634.523 + 17.9240i 1.47447 + 0.0416506i
\(58\) −319.337 + 267.955i −0.722948 + 0.606625i
\(59\) −54.4911 309.035i −0.120240 0.681913i −0.984022 0.178048i \(-0.943022\pi\)
0.863782 0.503865i \(-0.168089\pi\)
\(60\) 39.1183 190.265i 0.0841691 0.409385i
\(61\) −363.315 304.858i −0.762586 0.639885i 0.176213 0.984352i \(-0.443615\pi\)
−0.938799 + 0.344467i \(0.888060\pi\)
\(62\) 363.596 629.767i 0.744786 1.29001i
\(63\) −446.130 + 134.388i −0.892176 + 0.268750i
\(64\) 125.046 + 216.586i 0.244231 + 0.423020i
\(65\) 29.0077 164.511i 0.0553532 0.313924i
\(66\) −608.132 + 481.688i −1.13418 + 0.898358i
\(67\) 299.134 + 108.876i 0.545448 + 0.198527i 0.600023 0.799983i \(-0.295158\pi\)
−0.0545749 + 0.998510i \(0.517380\pi\)
\(68\) −631.281 229.767i −1.12579 0.409756i
\(69\) −606.882 240.503i −1.05884 0.419611i
\(70\) −68.7582 + 389.947i −0.117403 + 0.665823i
\(71\) 385.771 + 668.176i 0.644826 + 1.11687i 0.984342 + 0.176271i \(0.0564034\pi\)
−0.339516 + 0.940600i \(0.610263\pi\)
\(72\) −85.7875 170.097i −0.140419 0.278418i
\(73\) −274.416 + 475.302i −0.439972 + 0.762054i −0.997687 0.0679788i \(-0.978345\pi\)
0.557715 + 0.830033i \(0.311678\pi\)
\(74\) 264.955 + 222.324i 0.416222 + 0.349252i
\(75\) −340.754 302.727i −0.524625 0.466079i
\(76\) 129.878 + 736.574i 0.196027 + 1.11172i
\(77\) 525.192 440.689i 0.777289 0.652223i
\(78\) 253.951 + 470.026i 0.368644 + 0.682307i
\(79\) 972.757 354.055i 1.38536 0.504231i 0.461564 0.887107i \(-0.347289\pi\)
0.923800 + 0.382876i \(0.125066\pi\)
\(80\) −460.957 −0.644206
\(81\) −291.012 668.396i −0.399194 0.916867i
\(82\) −412.798 −0.555926
\(83\) 195.694 71.2269i 0.258798 0.0941948i −0.209363 0.977838i \(-0.567139\pi\)
0.468161 + 0.883643i \(0.344917\pi\)
\(84\) −260.962 483.003i −0.338967 0.627380i
\(85\) 513.222 430.645i 0.654903 0.549529i
\(86\) 279.393 + 1584.52i 0.350323 + 1.98678i
\(87\) 430.908 + 382.821i 0.531013 + 0.471755i
\(88\) 214.736 + 180.185i 0.260124 + 0.218270i
\(89\) −312.108 + 540.587i −0.371723 + 0.643844i −0.989831 0.142250i \(-0.954566\pi\)
0.618108 + 0.786094i \(0.287900\pi\)
\(90\) −618.539 34.9728i −0.724441 0.0409606i
\(91\) −236.064 408.875i −0.271937 0.471008i
\(92\) 133.566 757.488i 0.151361 0.858408i
\(93\) −934.760 370.438i −1.04226 0.413040i
\(94\) −356.659 129.813i −0.391346 0.142438i
\(95\) −700.916 255.112i −0.756973 0.275516i
\(96\) 925.692 733.220i 0.984146 0.779520i
\(97\) 69.8451 396.111i 0.0731103 0.414629i −0.926184 0.377071i \(-0.876931\pi\)
0.999294 0.0375576i \(-0.0119578\pi\)
\(98\) −84.9410 147.122i −0.0875545 0.151649i
\(99\) 781.487 + 734.792i 0.793357 + 0.745954i
\(100\) 268.530 465.107i 0.268530 0.465107i
\(101\) −267.150 224.165i −0.263192 0.220844i 0.501636 0.865079i \(-0.332732\pi\)
−0.764828 + 0.644234i \(0.777176\pi\)
\(102\) −431.498 + 2098.73i −0.418869 + 2.03731i
\(103\) −94.3781 535.245i −0.0902849 0.512031i −0.996091 0.0883379i \(-0.971844\pi\)
0.905806 0.423693i \(-0.139267\pi\)
\(104\) 147.877 124.083i 0.139428 0.116994i
\(105\) 547.278 + 15.4595i 0.508656 + 0.0143685i
\(106\) 1194.15 434.636i 1.09421 0.398260i
\(107\) −596.797 −0.539201 −0.269600 0.962972i \(-0.586892\pi\)
−0.269600 + 0.962972i \(0.586892\pi\)
\(108\) 702.361 494.467i 0.625784 0.440557i
\(109\) −1593.45 −1.40022 −0.700112 0.714033i \(-0.746867\pi\)
−0.700112 + 0.714033i \(0.746867\pi\)
\(110\) 856.620 311.784i 0.742505 0.270250i
\(111\) 250.719 407.250i 0.214389 0.348239i
\(112\) −998.002 + 837.423i −0.841985 + 0.706509i
\(113\) 221.416 + 1255.71i 0.184328 + 1.04538i 0.926815 + 0.375517i \(0.122535\pi\)
−0.742487 + 0.669860i \(0.766354\pi\)
\(114\) 2263.76 752.262i 1.85983 0.618033i
\(115\) 587.615 + 493.068i 0.476482 + 0.399816i
\(116\) −339.575 + 588.161i −0.271800 + 0.470771i
\(117\) 591.775 442.123i 0.467604 0.349353i
\(118\) −589.632 1021.27i −0.460000 0.796743i
\(119\) 328.806 1864.75i 0.253290 1.43648i
\(120\) 32.6316 + 221.464i 0.0248237 + 0.168473i
\(121\) −232.464 84.6100i −0.174654 0.0635688i
\(122\) −1674.83 609.588i −1.24288 0.452373i
\(123\) 83.2025 + 564.677i 0.0609928 + 0.413945i
\(124\) 205.726 1166.73i 0.148990 0.844965i
\(125\) 649.409 + 1124.81i 0.464679 + 0.804848i
\(126\) −1402.71 + 1047.98i −0.991774 + 0.740968i
\(127\) −937.110 + 1623.12i −0.654764 + 1.13409i 0.327189 + 0.944959i \(0.393899\pi\)
−0.981953 + 0.189126i \(0.939435\pi\)
\(128\) −672.790 564.538i −0.464584 0.389833i
\(129\) 2111.19 701.560i 1.44093 0.478829i
\(130\) −109.010 618.229i −0.0735450 0.417094i
\(131\) −756.317 + 634.625i −0.504425 + 0.423263i −0.859162 0.511703i \(-0.829015\pi\)
0.354737 + 0.934966i \(0.384570\pi\)
\(132\) −662.607 + 1076.29i −0.436913 + 0.709691i
\(133\) −1980.99 + 721.023i −1.29153 + 0.470080i
\(134\) 1196.29 0.771219
\(135\) 76.8308 + 853.164i 0.0489818 + 0.543916i
\(136\) 774.203 0.488142
\(137\) 130.671 47.5602i 0.0814886 0.0296594i −0.300954 0.953639i \(-0.597305\pi\)
0.382443 + 0.923979i \(0.375083\pi\)
\(138\) −2452.23 69.2705i −1.51267 0.0427297i
\(139\) −1.43262 + 1.20211i −0.000874199 + 0.000733540i −0.643225 0.765678i \(-0.722404\pi\)
0.642350 + 0.766411i \(0.277959\pi\)
\(140\) 112.020 + 635.297i 0.0676244 + 0.383517i
\(141\) −105.688 + 514.048i −0.0631242 + 0.307026i
\(142\) 2221.10 + 1863.73i 1.31261 + 1.10141i
\(143\) −543.473 + 941.323i −0.317815 + 0.550471i
\(144\) −1485.03 1396.30i −0.859391 0.808042i
\(145\) −338.650 586.558i −0.193954 0.335938i
\(146\) −358.150 + 2031.17i −0.203018 + 1.15137i
\(147\) −184.132 + 145.847i −0.103313 + 0.0818315i
\(148\) 529.511 + 192.726i 0.294092 + 0.107041i
\(149\) −1667.12 606.782i −0.916616 0.333621i −0.159725 0.987162i \(-0.551061\pi\)
−0.756892 + 0.653541i \(0.773283\pi\)
\(150\) −1592.42 631.064i −0.866803 0.343508i
\(151\) 518.445 2940.25i 0.279407 1.58460i −0.445198 0.895432i \(-0.646867\pi\)
0.724605 0.689164i \(-0.242022\pi\)
\(152\) −430.976 746.472i −0.229979 0.398335i
\(153\) 2957.89 + 167.242i 1.56295 + 0.0883705i
\(154\) 1288.22 2231.26i 0.674076 1.16753i
\(155\) 905.084 + 759.456i 0.469020 + 0.393554i
\(156\) 650.687 + 578.074i 0.333953 + 0.296686i
\(157\) 455.401 + 2582.71i 0.231497 + 1.31288i 0.849868 + 0.526996i \(0.176682\pi\)
−0.618371 + 0.785886i \(0.712207\pi\)
\(158\) 2980.08 2500.58i 1.50052 1.25909i
\(159\) −835.239 1545.91i −0.416596 0.771059i
\(160\) −1303.94 + 474.594i −0.644283 + 0.234500i
\(161\) 2167.99 1.06125
\(162\) −1886.76 1986.30i −0.915049 0.963324i
\(163\) 2970.77 1.42754 0.713769 0.700381i \(-0.246987\pi\)
0.713769 + 0.700381i \(0.246987\pi\)
\(164\) −631.967 + 230.017i −0.300904 + 0.109520i
\(165\) −599.156 1108.95i −0.282692 0.523222i
\(166\) 599.517 503.055i 0.280311 0.235208i
\(167\) −248.541 1409.55i −0.115166 0.653137i −0.986668 0.162746i \(-0.947965\pi\)
0.871502 0.490391i \(-0.163146\pi\)
\(168\) 472.985 + 420.202i 0.217212 + 0.192972i
\(169\) −1109.60 931.065i −0.505052 0.423789i
\(170\) 1258.86 2180.41i 0.567941 0.983703i
\(171\) −1485.32 2945.04i −0.664240 1.31703i
\(172\) 1310.65 + 2270.11i 0.581024 + 1.00636i
\(173\) −422.708 + 2397.30i −0.185768 + 1.05354i 0.739196 + 0.673490i \(0.235206\pi\)
−0.924964 + 0.380054i \(0.875906\pi\)
\(174\) 2013.73 + 798.026i 0.877359 + 0.347691i
\(175\) 1422.46 + 517.733i 0.614445 + 0.223640i
\(176\) 2818.46 + 1025.83i 1.20710 + 0.439347i
\(177\) −1278.18 + 1012.42i −0.542790 + 0.429932i
\(178\) −407.343 + 2310.16i −0.171526 + 0.972773i
\(179\) −984.102 1704.52i −0.410923 0.711740i 0.584068 0.811705i \(-0.301460\pi\)
−0.994991 + 0.0999650i \(0.968127\pi\)
\(180\) −966.430 + 291.118i −0.400186 + 0.120548i
\(181\) −652.816 + 1130.71i −0.268085 + 0.464337i −0.968367 0.249529i \(-0.919724\pi\)
0.700282 + 0.713866i \(0.253058\pi\)
\(182\) −1359.16 1140.47i −0.553557 0.464489i
\(183\) −496.297 + 2413.91i −0.200477 + 0.975089i
\(184\) 153.926 + 872.959i 0.0616717 + 0.349757i
\(185\) −430.485 + 361.220i −0.171081 + 0.143554i
\(186\) −3777.09 106.695i −1.48898 0.0420605i
\(187\) −4096.40 + 1490.97i −1.60192 + 0.583051i
\(188\) −618.355 −0.239884
\(189\) 1716.29 + 1707.58i 0.660539 + 0.657186i
\(190\) −2803.08 −1.07030
\(191\) 322.843 117.505i 0.122304 0.0445151i −0.280143 0.959958i \(-0.590382\pi\)
0.402447 + 0.915443i \(0.368160\pi\)
\(192\) 681.278 1106.62i 0.256078 0.415955i
\(193\) −314.322 + 263.748i −0.117230 + 0.0983677i −0.699518 0.714615i \(-0.746602\pi\)
0.582288 + 0.812983i \(0.302158\pi\)
\(194\) −262.477 1488.58i −0.0971379 0.550896i
\(195\) −823.720 + 273.727i −0.302502 + 0.100523i
\(196\) −212.018 177.904i −0.0772660 0.0648339i
\(197\) 750.456 1299.83i 0.271410 0.470096i −0.697813 0.716280i \(-0.745843\pi\)
0.969223 + 0.246184i \(0.0791767\pi\)
\(198\) 3704.14 + 1590.36i 1.32950 + 0.570818i
\(199\) 70.9462 + 122.882i 0.0252726 + 0.0437734i 0.878385 0.477954i \(-0.158621\pi\)
−0.853113 + 0.521727i \(0.825288\pi\)
\(200\) −107.476 + 609.525i −0.0379984 + 0.215500i
\(201\) −241.120 1636.43i −0.0846135 0.574253i
\(202\) −1231.52 448.237i −0.428958 0.156128i
\(203\) −1798.80 654.711i −0.621927 0.226363i
\(204\) 508.851 + 3453.46i 0.174641 + 1.18525i
\(205\) 116.465 660.503i 0.0396792 0.225032i
\(206\) −1021.24 1768.83i −0.345402 0.598254i
\(207\) 399.509 + 3368.44i 0.134144 + 1.13103i
\(208\) 1032.74 1788.76i 0.344267 0.596288i
\(209\) 3717.91 + 3119.70i 1.23049 + 1.03251i
\(210\) 1952.50 648.827i 0.641597 0.213206i
\(211\) −628.583 3564.87i −0.205087 1.16311i −0.897302 0.441417i \(-0.854476\pi\)
0.692215 0.721692i \(-0.256635\pi\)
\(212\) 1585.98 1330.80i 0.513801 0.431130i
\(213\) 2101.76 3413.96i 0.676105 1.09822i
\(214\) −2107.50 + 767.067i −0.673204 + 0.245026i
\(215\) −2614.16 −0.829227
\(216\) −565.715 + 812.318i −0.178204 + 0.255885i
\(217\) 3339.27 1.04463
\(218\) −5627.02 + 2048.07i −1.74821 + 0.636297i
\(219\) 2850.68 + 80.5257i 0.879593 + 0.0248467i
\(220\) 1137.70 954.642i 0.348653 0.292554i
\(221\) 521.294 + 2956.40i 0.158670 + 0.899861i
\(222\) 361.935 1760.39i 0.109421 0.532207i
\(223\) −847.537 711.168i −0.254508 0.213557i 0.506603 0.862180i \(-0.330901\pi\)
−0.761111 + 0.648622i \(0.775346\pi\)
\(224\) −1960.91 + 3396.40i −0.584906 + 1.01309i
\(225\) −542.285 + 2305.51i −0.160677 + 0.683114i
\(226\) 2395.88 + 4149.78i 0.705183 + 1.22141i
\(227\) 783.716 4444.67i 0.229150 1.29957i −0.625440 0.780272i \(-0.715081\pi\)
0.854590 0.519303i \(-0.173808\pi\)
\(228\) 3046.50 2413.07i 0.884910 0.700917i
\(229\) −918.036 334.138i −0.264915 0.0964212i 0.206148 0.978521i \(-0.433907\pi\)
−0.471063 + 0.882100i \(0.656129\pi\)
\(230\) 2708.82 + 985.930i 0.776584 + 0.282653i
\(231\) −3311.85 1312.46i −0.943306 0.373825i
\(232\) 135.911 770.788i 0.0384611 0.218124i
\(233\) 1305.20 + 2260.68i 0.366982 + 0.635631i 0.989092 0.147299i \(-0.0470579\pi\)
−0.622111 + 0.782929i \(0.713725\pi\)
\(234\) 1521.50 2321.91i 0.425059 0.648665i
\(235\) 308.335 534.052i 0.0855896 0.148246i
\(236\) −1471.76 1234.95i −0.405945 0.340629i
\(237\) −4021.27 3572.52i −1.10215 0.979156i
\(238\) −1235.65 7007.70i −0.336534 1.90858i
\(239\) −1335.09 + 1120.27i −0.361338 + 0.303198i −0.805324 0.592835i \(-0.798008\pi\)
0.443986 + 0.896034i \(0.353564\pi\)
\(240\) 1138.55 + 2107.29i 0.306222 + 0.566772i
\(241\) 4717.74 1717.12i 1.26098 0.458959i 0.376882 0.926261i \(-0.376996\pi\)
0.884098 + 0.467302i \(0.154774\pi\)
\(242\) −929.663 −0.246946
\(243\) −2336.82 + 2981.30i −0.616902 + 0.787040i
\(244\) −2903.73 −0.761852
\(245\) 259.370 94.4028i 0.0676348 0.0246170i
\(246\) 1019.60 + 1887.13i 0.264258 + 0.489103i
\(247\) 2560.32 2148.37i 0.659552 0.553430i
\(248\) 237.087 + 1344.59i 0.0607059 + 0.344280i
\(249\) −808.979 718.701i −0.205891 0.182915i
\(250\) 3739.02 + 3137.41i 0.945905 + 0.793708i
\(251\) 1266.67 2193.94i 0.318533 0.551715i −0.661650 0.749813i \(-0.730143\pi\)
0.980182 + 0.198099i \(0.0634766\pi\)
\(252\) −1563.51 + 2386.01i −0.390841 + 0.596446i
\(253\) −2495.60 4322.50i −0.620145 1.07412i
\(254\) −1223.06 + 6936.29i −0.302131 + 1.71347i
\(255\) −3236.37 1282.55i −0.794781 0.314966i
\(256\) −4981.54 1813.13i −1.21620 0.442660i
\(257\) 5975.56 + 2174.93i 1.45037 + 0.527892i 0.942695 0.333657i \(-0.108283\pi\)
0.507676 + 0.861548i \(0.330505\pi\)
\(258\) 6553.63 5190.98i 1.58144 1.25262i
\(259\) −275.798 + 1564.13i −0.0661671 + 0.375252i
\(260\) −511.374 885.726i −0.121977 0.211271i
\(261\) 685.759 2915.48i 0.162634 0.691432i
\(262\) −1855.13 + 3213.18i −0.437444 + 0.757676i
\(263\) −953.160 799.796i −0.223477 0.187519i 0.524174 0.851611i \(-0.324374\pi\)
−0.747651 + 0.664092i \(0.768818\pi\)
\(264\) 293.334 1426.73i 0.0683844 0.332610i
\(265\) 358.533 + 2033.34i 0.0831114 + 0.471348i
\(266\) −6068.85 + 5092.37i −1.39889 + 1.17381i
\(267\) 3242.23 + 91.5861i 0.743150 + 0.0209924i
\(268\) 1831.44 666.588i 0.417436 0.151934i
\(269\) −7046.50 −1.59715 −0.798574 0.601897i \(-0.794412\pi\)
−0.798574 + 0.601897i \(0.794412\pi\)
\(270\) 1367.89 + 2914.07i 0.308324 + 0.656833i
\(271\) 4276.12 0.958509 0.479255 0.877676i \(-0.340907\pi\)
0.479255 + 0.877676i \(0.340907\pi\)
\(272\) 7784.23 2833.23i 1.73525 0.631580i
\(273\) −1286.13 + 2089.09i −0.285128 + 0.463142i
\(274\) 400.314 335.904i 0.0882623 0.0740609i
\(275\) −605.163 3432.05i −0.132701 0.752584i
\(276\) −3792.81 + 1260.37i −0.827175 + 0.274875i
\(277\) −2359.12 1979.54i −0.511717 0.429382i 0.350016 0.936744i \(-0.386176\pi\)
−0.861733 + 0.507362i \(0.830621\pi\)
\(278\) −3.51401 + 6.08645i −0.000758117 + 0.00131310i
\(279\) 615.350 + 5188.29i 0.132043 + 1.11332i
\(280\) −371.718 643.834i −0.0793371 0.137416i
\(281\) 884.371 5015.52i 0.187748 1.06477i −0.734626 0.678472i \(-0.762642\pi\)
0.922374 0.386299i \(-0.126247\pi\)
\(282\) 287.489 + 1951.13i 0.0607082 + 0.412014i
\(283\) 4167.77 + 1516.94i 0.875435 + 0.318632i 0.740366 0.672204i \(-0.234652\pi\)
0.135069 + 0.990836i \(0.456874\pi\)
\(284\) 4438.86 + 1615.61i 0.927458 + 0.337567i
\(285\) 564.981 + 3834.40i 0.117427 + 0.796949i
\(286\) −709.306 + 4022.67i −0.146651 + 0.831698i
\(287\) −947.787 1641.62i −0.194934 0.337636i
\(288\) −5638.40 2420.83i −1.15363 0.495308i
\(289\) −3563.43 + 6172.04i −0.725306 + 1.25627i
\(290\) −1949.80 1636.08i −0.394814 0.331289i
\(291\) −1983.37 + 659.084i −0.399543 + 0.132770i
\(292\) 583.493 + 3309.15i 0.116940 + 0.663197i
\(293\) 698.700 586.279i 0.139312 0.116897i −0.570469 0.821319i \(-0.693238\pi\)
0.709781 + 0.704423i \(0.248794\pi\)
\(294\) −462.777 + 751.702i −0.0918016 + 0.149116i
\(295\) 1800.46 655.312i 0.355344 0.129335i
\(296\) −649.393 −0.127517
\(297\) 1428.90 5387.54i 0.279169 1.05258i
\(298\) −6667.09 −1.29602
\(299\) −3229.87 + 1175.58i −0.624711 + 0.227376i
\(300\) −2789.53 78.7984i −0.536845 0.0151648i
\(301\) −5659.82 + 4749.15i −1.08381 + 0.909424i
\(302\) −1948.31 11049.4i −0.371234 2.10537i
\(303\) −364.933 + 1774.98i −0.0691910 + 0.336534i
\(304\) −7065.00 5928.24i −1.33291 1.11845i
\(305\) 1447.91 2507.85i 0.271826 0.470816i
\(306\) 10660.3 3211.20i 1.99153 0.599909i
\(307\) 2141.40 + 3709.02i 0.398099 + 0.689528i 0.993491 0.113907i \(-0.0363367\pi\)
−0.595392 + 0.803435i \(0.703003\pi\)
\(308\) 728.888 4133.73i 0.134845 0.764744i
\(309\) −2213.80 + 1753.50i −0.407568 + 0.322825i
\(310\) 4172.30 + 1518.59i 0.764422 + 0.278227i
\(311\) −785.558 285.920i −0.143231 0.0521319i 0.269410 0.963026i \(-0.413171\pi\)
−0.412641 + 0.910894i \(0.635394\pi\)
\(312\) −932.507 369.545i −0.169208 0.0670557i
\(313\) −1073.41 + 6087.62i −0.193843 + 1.09934i 0.720214 + 0.693752i \(0.244044\pi\)
−0.914057 + 0.405586i \(0.867068\pi\)
\(314\) 4927.75 + 8535.12i 0.885635 + 1.53396i
\(315\) −1281.09 2540.10i −0.229147 0.454345i
\(316\) 3168.94 5488.77i 0.564136 0.977113i
\(317\) 1460.18 + 1225.23i 0.258712 + 0.217085i 0.762913 0.646501i \(-0.223769\pi\)
−0.504201 + 0.863586i \(0.668213\pi\)
\(318\) −4936.49 4385.60i −0.870518 0.773372i
\(319\) 765.273 + 4340.08i 0.134317 + 0.761748i
\(320\) −1169.76 + 981.543i −0.204348 + 0.171468i
\(321\) 1474.07 + 2728.30i 0.256308 + 0.474388i
\(322\) 7655.92 2786.53i 1.32499 0.482258i
\(323\) 13404.5 2.30912
\(324\) −3995.30 1989.57i −0.685066 0.341147i
\(325\) −2399.93 −0.409612
\(326\) 10490.8 3818.35i 1.78231 0.648708i
\(327\) 3935.77 + 7284.55i 0.665592 + 1.23192i
\(328\) 593.718 498.189i 0.0999470 0.0838655i
\(329\) −302.650 1716.41i −0.0507162 0.287626i
\(330\) −3541.17 3146.00i −0.590712 0.524792i
\(331\) 1694.16 + 1421.57i 0.281328 + 0.236062i 0.772522 0.634988i \(-0.218995\pi\)
−0.491194 + 0.871050i \(0.663439\pi\)
\(332\) 637.512 1104.20i 0.105386 0.182533i
\(333\) −2481.04 140.280i −0.408289 0.0230850i
\(334\) −2689.38 4658.15i −0.440588 0.763122i
\(335\) −337.513 + 1914.13i −0.0550457 + 0.312180i
\(336\) 6293.37 + 2494.02i 1.02182 + 0.404940i
\(337\) 3057.48 + 1112.83i 0.494218 + 0.179881i 0.577092 0.816679i \(-0.304188\pi\)
−0.0828736 + 0.996560i \(0.526410\pi\)
\(338\) −5115.09 1861.74i −0.823149 0.299602i
\(339\) 5193.69 4113.80i 0.832102 0.659089i
\(340\) 712.275 4039.51i 0.113613 0.644334i
\(341\) −3843.88 6657.80i −0.610434 1.05730i
\(342\) −9030.45 8490.88i −1.42781 1.34250i
\(343\) 3349.58 5801.64i 0.527289 0.913292i
\(344\) −2314.13 1941.79i −0.362703 0.304344i
\(345\) 802.697 3904.19i 0.125263 0.609259i
\(346\) 1588.53 + 9009.01i 0.246821 + 1.39979i
\(347\) −3884.86 + 3259.79i −0.601010 + 0.504307i −0.891770 0.452489i \(-0.850536\pi\)
0.290760 + 0.956796i \(0.406092\pi\)
\(348\) 3527.56 + 99.6462i 0.543382 + 0.0153494i
\(349\) 5757.10 2095.41i 0.883010 0.321389i 0.139586 0.990210i \(-0.455423\pi\)
0.743424 + 0.668821i \(0.233201\pi\)
\(350\) 5688.65 0.868775
\(351\) −3482.87 1613.31i −0.529634 0.245333i
\(352\) 9028.93 1.36717
\(353\) −11111.5 + 4044.26i −1.67537 + 0.609786i −0.992664 0.120904i \(-0.961421\pi\)
−0.682709 + 0.730690i \(0.739198\pi\)
\(354\) −3212.44 + 5218.06i −0.482314 + 0.783437i
\(355\) −3608.73 + 3028.09i −0.539526 + 0.452716i
\(356\) 663.638 + 3763.68i 0.0987998 + 0.560321i
\(357\) −9336.97 + 3102.73i −1.38421 + 0.459983i
\(358\) −5666.04 4754.37i −0.836479 0.701889i
\(359\) −5398.46 + 9350.41i −0.793649 + 1.37464i 0.130045 + 0.991508i \(0.458488\pi\)
−0.923694 + 0.383132i \(0.874845\pi\)
\(360\) 931.838 696.188i 0.136423 0.101923i
\(361\) −4032.37 6984.28i −0.587895 1.01826i
\(362\) −852.012 + 4832.00i −0.123704 + 0.701559i
\(363\) 187.380 + 1271.71i 0.0270934 + 0.183877i
\(364\) −2716.26 988.639i −0.391129 0.142359i
\(365\) −3148.95 1146.13i −0.451572 0.164359i
\(366\) 1350.01 + 9162.26i 0.192804 + 1.30852i
\(367\) −1038.77 + 5891.16i −0.147748 + 0.837919i 0.817372 + 0.576110i \(0.195430\pi\)
−0.965120 + 0.261809i \(0.915681\pi\)
\(368\) 4742.28 + 8213.87i 0.671762 + 1.16353i
\(369\) 2375.95 1775.10i 0.335196 0.250429i
\(370\) −1055.92 + 1828.90i −0.148363 + 0.256973i
\(371\) 4470.24 + 3750.97i 0.625561 + 0.524908i
\(372\) −5841.94 + 1941.31i −0.814221 + 0.270570i
\(373\) −668.299 3790.11i −0.0927700 0.526125i −0.995408 0.0957242i \(-0.969483\pi\)
0.902638 0.430401i \(-0.141628\pi\)
\(374\) −12549.5 + 10530.3i −1.73508 + 1.45590i
\(375\) 3538.12 5747.07i 0.487220 0.791406i
\(376\) 669.641 243.729i 0.0918460 0.0334292i
\(377\) 3034.88 0.414600
\(378\) 8255.60 + 3824.10i 1.12334 + 0.520345i
\(379\) 74.8997 0.0101513 0.00507565 0.999987i \(-0.498384\pi\)
0.00507565 + 0.999987i \(0.498384\pi\)
\(380\) −4291.33 + 1561.92i −0.579317 + 0.210854i
\(381\) 9734.85 + 274.989i 1.30901 + 0.0369767i
\(382\) 989.041 829.904i 0.132471 0.111156i
\(383\) −2337.89 13258.8i −0.311907 1.76891i −0.589062 0.808088i \(-0.700503\pi\)
0.277155 0.960825i \(-0.410608\pi\)
\(384\) −919.048 + 4470.10i −0.122135 + 0.594046i
\(385\) 3206.71 + 2690.75i 0.424491 + 0.356190i
\(386\) −770.986 + 1335.39i −0.101664 + 0.176086i
\(387\) −8421.82 7918.61i −1.10621 1.04012i
\(388\) −1231.29 2132.66i −0.161107 0.279046i
\(389\) 853.628 4841.17i 0.111261 0.630994i −0.877272 0.479993i \(-0.840639\pi\)
0.988534 0.151001i \(-0.0482497\pi\)
\(390\) −2557.02 + 2025.36i −0.332000 + 0.262969i
\(391\) −12953.7 4714.77i −1.67544 0.609811i
\(392\) 299.724 + 109.091i 0.0386183 + 0.0140559i
\(393\) 4769.31 + 1890.04i 0.612163 + 0.242596i
\(394\) 979.447 5554.72i 0.125238 0.710261i
\(395\) 3160.31 + 5473.82i 0.402563 + 0.697260i
\(396\) 6556.97 + 370.737i 0.832071 + 0.0470461i
\(397\) 2327.31 4031.01i 0.294217 0.509599i −0.680585 0.732669i \(-0.738274\pi\)
0.974802 + 0.223070i \(0.0716078\pi\)
\(398\) 408.478 + 342.753i 0.0514451 + 0.0431675i
\(399\) 8189.21 + 7275.34i 1.02750 + 0.912838i
\(400\) 1149.97 + 6521.79i 0.143746 + 0.815223i
\(401\) 4220.08 3541.07i 0.525538 0.440979i −0.341019 0.940056i \(-0.610772\pi\)
0.866557 + 0.499077i \(0.166328\pi\)
\(402\) −2954.80 5468.90i −0.366597 0.678517i
\(403\) −4974.87 + 1810.70i −0.614927 + 0.223815i
\(404\) −2135.14 −0.262939
\(405\) 3710.53 2458.53i 0.455253 0.301643i
\(406\) −7193.71 −0.879355
\(407\) 3436.02 1250.61i 0.418469 0.152310i
\(408\) −1912.26 3539.32i −0.232037 0.429467i
\(409\) 3395.87 2849.47i 0.410550 0.344492i −0.414005 0.910275i \(-0.635870\pi\)
0.824554 + 0.565783i \(0.191426\pi\)
\(410\) −437.672 2482.16i −0.0527197 0.298988i
\(411\) −540.178 479.897i −0.0648297 0.0575950i
\(412\) −2549.07 2138.92i −0.304814 0.255769i
\(413\) 2707.60 4689.69i 0.322596 0.558752i
\(414\) 5740.28 + 11381.7i 0.681448 + 1.35115i
\(415\) 635.775 + 1101.19i 0.0752023 + 0.130254i
\(416\) 1079.70 6123.27i 0.127251 0.721677i
\(417\) 9.03409 + 3.58014i 0.00106091 + 0.000420433i
\(418\) 17139.0 + 6238.10i 2.00550 + 0.729941i
\(419\) 12250.1 + 4458.67i 1.42830 + 0.519858i 0.936443 0.350819i \(-0.114097\pi\)
0.491855 + 0.870677i \(0.336319\pi\)
\(420\) 2627.62 2081.27i 0.305273 0.241800i
\(421\) 2100.59 11913.0i 0.243174 1.37911i −0.581521 0.813531i \(-0.697542\pi\)
0.824695 0.565578i \(-0.191347\pi\)
\(422\) −6801.70 11780.9i −0.784601 1.35897i
\(423\) 2611.05 786.527i 0.300127 0.0904072i
\(424\) −1192.98 + 2066.30i −0.136642 + 0.236671i
\(425\) −7373.28 6186.92i −0.841545 0.706140i
\(426\) 3034.08 14757.3i 0.345075 1.67839i
\(427\) −1421.21 8060.08i −0.161071 0.913476i
\(428\) −2799.02 + 2348.66i −0.316112 + 0.265249i
\(429\) 5645.68 + 159.479i 0.635376 + 0.0179480i
\(430\) −9231.50 + 3359.99i −1.03531 + 0.376821i
\(431\) −11122.9 −1.24309 −0.621544 0.783379i \(-0.713494\pi\)
−0.621544 + 0.783379i \(0.713494\pi\)
\(432\) −2715.28 + 10237.7i −0.302405 + 1.14019i
\(433\) −11188.6 −1.24178 −0.620891 0.783897i \(-0.713229\pi\)
−0.620891 + 0.783897i \(0.713229\pi\)
\(434\) 11792.2 4291.99i 1.30424 0.474706i
\(435\) −1845.03 + 2996.94i −0.203362 + 0.330328i
\(436\) −7473.39 + 6270.92i −0.820895 + 0.688813i
\(437\) 2665.06 + 15114.3i 0.291733 + 1.65450i
\(438\) 10170.2 3379.63i 1.10948 0.368687i
\(439\) 4558.36 + 3824.92i 0.495578 + 0.415839i 0.856020 0.516942i \(-0.172930\pi\)
−0.360443 + 0.932781i \(0.617374\pi\)
\(440\) −855.778 + 1482.25i −0.0927219 + 0.160599i
\(441\) 1121.55 + 481.533i 0.121105 + 0.0519958i
\(442\) 5640.76 + 9770.08i 0.607022 + 1.05139i
\(443\) −334.342 + 1896.15i −0.0358580 + 0.203361i −0.997473 0.0710398i \(-0.977368\pi\)
0.961616 + 0.274400i \(0.0884794\pi\)
\(444\) −426.819 2896.73i −0.0456214 0.309623i
\(445\) −3581.47 1303.55i −0.381524 0.138863i
\(446\) −3907.02 1422.04i −0.414804 0.150976i
\(447\) 1343.80 + 9120.09i 0.142192 + 0.965023i
\(448\) −749.427 + 4250.21i −0.0790337 + 0.448222i
\(449\) −2453.74 4250.00i −0.257904 0.446704i 0.707776 0.706437i \(-0.249699\pi\)
−0.965680 + 0.259733i \(0.916365\pi\)
\(450\) 1048.29 + 8838.56i 0.109815 + 0.925898i
\(451\) −2182.02 + 3779.37i −0.227821 + 0.394598i
\(452\) 5980.25 + 5018.03i 0.622317 + 0.522186i
\(453\) −14722.1 + 4892.24i −1.52694 + 0.507411i
\(454\) −2945.19 16703.0i −0.304460 1.72668i
\(455\) 2208.28 1852.97i 0.227530 0.190920i
\(456\) −2348.05 + 3814.00i −0.241135 + 0.391682i
\(457\) 6074.23 2210.84i 0.621751 0.226299i −0.0118858 0.999929i \(-0.503783\pi\)
0.633637 + 0.773630i \(0.281561\pi\)
\(458\) −3671.38 −0.374568
\(459\) −6541.35 13935.3i −0.665194 1.41708i
\(460\) 4696.40 0.476024
\(461\) −14687.6 + 5345.87i −1.48389 + 0.540091i −0.951832 0.306619i \(-0.900802\pi\)
−0.532055 + 0.846710i \(0.678580\pi\)
\(462\) −13382.2 378.020i −1.34761 0.0380673i
\(463\) 11673.6 9795.28i 1.17174 0.983208i 0.171744 0.985142i \(-0.445060\pi\)
0.999998 + 0.00193368i \(0.000615511\pi\)
\(464\) −1454.22 8247.27i −0.145496 0.825151i
\(465\) 1236.37 6013.49i 0.123301 0.599718i
\(466\) 7514.80 + 6305.66i 0.747031 + 0.626833i
\(467\) −5091.30 + 8818.39i −0.504491 + 0.873804i 0.495495 + 0.868611i \(0.334987\pi\)
−0.999987 + 0.00519360i \(0.998347\pi\)
\(468\) 1035.52 4402.49i 0.102280 0.434840i
\(469\) 2746.68 + 4757.39i 0.270426 + 0.468392i
\(470\) 402.419 2282.23i 0.0394940 0.223982i
\(471\) 10682.2 8461.12i 1.04503 0.827745i
\(472\) 2080.58 + 757.271i 0.202895 + 0.0738479i
\(473\) 15983.9 + 5817.66i 1.55378 + 0.565531i
\(474\) −18792.3 7447.25i −1.82101 0.721653i
\(475\) −1860.82 + 10553.3i −0.179748 + 1.01940i
\(476\) −5796.49 10039.8i −0.558155 0.966752i
\(477\) −5004.20 + 7636.71i −0.480349 + 0.733041i
\(478\) −3274.77 + 5672.08i −0.313357 + 0.542750i
\(479\) 8482.99 + 7118.08i 0.809181 + 0.678984i 0.950412 0.310993i \(-0.100662\pi\)
−0.141231 + 0.989977i \(0.545106\pi\)
\(480\) 5390.33 + 4788.80i 0.512571 + 0.455371i
\(481\) −437.255 2479.80i −0.0414493 0.235071i
\(482\) 14453.0 12127.5i 1.36580 1.14604i
\(483\) −5354.87 9911.09i −0.504462 0.933686i
\(484\) −1423.25 + 518.022i −0.133664 + 0.0486497i
\(485\) 2455.88 0.229929
\(486\) −4420.26 + 13531.6i −0.412566 + 1.26297i
\(487\) 123.064 0.0114508 0.00572541 0.999984i \(-0.498178\pi\)
0.00572541 + 0.999984i \(0.498178\pi\)
\(488\) 3144.56 1144.52i 0.291695 0.106168i
\(489\) −7337.73 13581.1i −0.678576 1.25595i
\(490\) 794.589 666.739i 0.0732569 0.0614698i
\(491\) 2500.59 + 14181.5i 0.229837 + 1.30347i 0.853219 + 0.521552i \(0.174647\pi\)
−0.623383 + 0.781917i \(0.714242\pi\)
\(492\) 2612.48 + 2320.94i 0.239390 + 0.212675i
\(493\) 9324.05 + 7823.80i 0.851793 + 0.714739i
\(494\) 6280.09 10877.4i 0.571973 0.990686i
\(495\) −3589.74 + 5478.16i −0.325953 + 0.497424i
\(496\) 7304.37 + 12651.5i 0.661242 + 1.14530i
\(497\) −2312.00 + 13112.0i −0.208667 + 1.18341i
\(498\) −3780.54 1498.20i −0.340181 0.134811i
\(499\) −15962.9 5810.02i −1.43206 0.521227i −0.494538 0.869156i \(-0.664663\pi\)
−0.937521 + 0.347929i \(0.886885\pi\)
\(500\) 7472.40 + 2719.73i 0.668352 + 0.243260i
\(501\) −5829.94 + 4617.76i −0.519885 + 0.411789i
\(502\) 1653.18 9375.64i 0.146982 0.833577i
\(503\) 3982.23 + 6897.42i 0.353000 + 0.611413i 0.986773 0.162105i \(-0.0518284\pi\)
−0.633774 + 0.773518i \(0.718495\pi\)
\(504\) 752.721 3200.17i 0.0665255 0.282831i
\(505\) 1064.66 1844.05i 0.0938156 0.162493i
\(506\) −14368.6 12056.7i −1.26237 1.05926i
\(507\) −1515.74 + 7372.32i −0.132774 + 0.645791i
\(508\) 1992.59 + 11300.5i 0.174029 + 0.986967i
\(509\) 4113.79 3451.88i 0.358233 0.300593i −0.445853 0.895106i \(-0.647100\pi\)
0.804086 + 0.594513i \(0.202655\pi\)
\(510\) −13077.2 369.404i −1.13543 0.0320735i
\(511\) −8899.87 + 3239.29i −0.770464 + 0.280426i
\(512\) −12895.9 −1.11313
\(513\) −9794.74 + 14064.4i −0.842979 + 1.21044i
\(514\) 23897.3 2.05071
\(515\) 3118.37 1134.99i 0.266819 0.0971142i
\(516\) 7140.69 11598.8i 0.609208 0.989555i
\(517\) −3073.78 + 2579.20i −0.261479 + 0.219407i
\(518\) 1036.45 + 5877.98i 0.0879129 + 0.498579i
\(519\) 12003.5 3988.83i 1.01521 0.337360i
\(520\) 902.902 + 757.625i 0.0761440 + 0.0638924i
\(521\) 6995.69 12116.9i 0.588266 1.01891i −0.406193 0.913787i \(-0.633144\pi\)
0.994460 0.105120i \(-0.0335226\pi\)
\(522\) −1325.63 11177.0i −0.111152 0.937173i
\(523\) −3565.45 6175.53i −0.298099 0.516323i 0.677602 0.735429i \(-0.263019\pi\)
−0.975701 + 0.219106i \(0.929686\pi\)
\(524\) −1049.65 + 5952.88i −0.0875083 + 0.496284i
\(525\) −1146.59 7781.66i −0.0953167 0.646894i
\(526\) −4393.93 1599.26i −0.364229 0.132568i
\(527\) −19952.2 7262.00i −1.64920 0.600261i
\(528\) −2271.85 15418.5i −0.187253 1.27084i
\(529\) 627.954 3561.31i 0.0516113 0.292702i
\(530\) 3879.58 + 6719.63i 0.317959 + 0.550721i
\(531\) 7785.41 + 3342.64i 0.636267 + 0.273179i
\(532\) −6453.47 + 11177.7i −0.525927 + 0.910933i
\(533\) 2302.17 + 1931.75i 0.187089 + 0.156986i
\(534\) 11567.2 3843.83i 0.937378 0.311496i
\(535\) −632.758 3588.55i −0.0511337 0.289993i
\(536\) −1720.59 + 1443.75i −0.138653 + 0.116344i
\(537\) −5361.60 + 8709.00i −0.430857 + 0.699853i
\(538\) −24883.7 + 9056.91i −1.99407 + 0.725783i
\(539\) −1795.97 −0.143521
\(540\) 3717.92 + 3699.04i 0.296285 + 0.294781i
\(541\) 739.352 0.0587564 0.0293782 0.999568i \(-0.490647\pi\)
0.0293782 + 0.999568i \(0.490647\pi\)
\(542\) 15100.5 5496.13i 1.19672 0.435570i
\(543\) 6781.55 + 191.565i 0.535956 + 0.0151396i
\(544\) 19102.7 16029.1i 1.50555 1.26331i
\(545\) −1689.46 9581.42i −0.132786 0.753070i
\(546\) −1856.64 + 9030.39i −0.145525 + 0.707812i
\(547\) 903.137 + 757.822i 0.0705948 + 0.0592361i 0.677402 0.735613i \(-0.263106\pi\)
−0.606807 + 0.794849i \(0.707550\pi\)
\(548\) 425.685 737.308i 0.0331831 0.0574749i
\(549\) 12261.2 3693.44i 0.953178 0.287126i
\(550\) −6548.28 11342.0i −0.507672 0.879314i
\(551\) 2353.15 13345.4i 0.181937 1.03182i
\(552\) 3610.59 2859.87i 0.278401 0.220515i
\(553\) 16786.6 + 6109.82i 1.29085 + 0.469830i
\(554\) −10875.2 3958.24i −0.834012 0.303555i
\(555\) 2714.63 + 1075.79i 0.207621 + 0.0822786i
\(556\) −1.98827 + 11.2760i −0.000151657 + 0.000860090i
\(557\) −1767.61 3061.60i −0.134463 0.232898i 0.790929 0.611908i \(-0.209598\pi\)
−0.925392 + 0.379010i \(0.876264\pi\)
\(558\) 8841.57 + 17530.8i 0.670777 + 1.32999i
\(559\) 5856.82 10144.3i 0.443143 0.767547i
\(560\) −6093.58 5113.12i −0.459823 0.385837i
\(561\) 16934.1 + 15044.3i 1.27443 + 1.13221i
\(562\) −3323.45 18848.2i −0.249451 1.41471i
\(563\) 11699.2 9816.76i 0.875774 0.734862i −0.0895314 0.995984i \(-0.528537\pi\)
0.965306 + 0.261122i \(0.0840925\pi\)
\(564\) 1527.32 + 2826.85i 0.114028 + 0.211050i
\(565\) −7315.88 + 2662.76i −0.544745 + 0.198271i
\(566\) 16667.6 1.23779
\(567\) 3567.11 12063.8i 0.264205 0.893533i
\(568\) −5443.82 −0.402144
\(569\) −22954.2 + 8354.64i −1.69119 + 0.615545i −0.994775 0.102090i \(-0.967447\pi\)
−0.696420 + 0.717635i \(0.745225\pi\)
\(570\) 6923.53 + 12814.5i 0.508763 + 0.941647i
\(571\) −17073.5 + 14326.4i −1.25132 + 1.04998i −0.254770 + 0.967002i \(0.582000\pi\)
−0.996551 + 0.0829818i \(0.973556\pi\)
\(572\) 1155.59 + 6553.68i 0.0844715 + 0.479062i
\(573\) −1334.60 1185.66i −0.0973012 0.0864429i
\(574\) −5456.95 4578.92i −0.396810 0.332963i
\(575\) 5510.16 9543.88i 0.399634 0.692186i
\(576\) −6741.73 381.184i −0.487683 0.0275741i
\(577\) 4174.52 + 7230.48i 0.301192 + 0.521679i 0.976406 0.215942i \(-0.0692823\pi\)
−0.675214 + 0.737621i \(0.735949\pi\)
\(578\) −4650.76 + 26375.8i −0.334682 + 1.89807i
\(579\) 1982.11 + 785.495i 0.142269 + 0.0563800i
\(580\) −3896.66 1418.27i −0.278966 0.101535i
\(581\) 3377.04 + 1229.14i 0.241142 + 0.0877684i
\(582\) −6156.84 + 4876.69i −0.438504 + 0.347329i
\(583\) 2332.89 13230.5i 0.165727 0.939882i
\(584\) −1936.21 3353.62i −0.137194 0.237626i
\(585\) 3285.93 + 3089.59i 0.232233 + 0.218357i
\(586\) 1713.81 2968.40i 0.120813 0.209255i
\(587\) 8093.41 + 6791.18i 0.569082 + 0.477516i 0.881341 0.472481i \(-0.156641\pi\)
−0.312259 + 0.949997i \(0.601086\pi\)
\(588\) −289.622 + 1408.67i −0.0203126 + 0.0987971i
\(589\) 4104.90 + 23280.1i 0.287164 + 1.62859i
\(590\) 5515.76 4628.28i 0.384882 0.322954i
\(591\) −7795.86 220.217i −0.542604 0.0153274i
\(592\) −6529.32 + 2376.48i −0.453300 + 0.164988i
\(593\) −15578.8 −1.07883 −0.539414 0.842041i \(-0.681354\pi\)
−0.539414 + 0.842041i \(0.681354\pi\)
\(594\) −1878.69 20861.9i −0.129771 1.44103i
\(595\) 11561.4 0.796589
\(596\) −10206.9 + 3715.00i −0.701494 + 0.255323i
\(597\) 386.530 627.852i 0.0264985 0.0430423i
\(598\) −9894.85 + 8302.76i −0.676639 + 0.567768i
\(599\) 1250.53 + 7092.09i 0.0853008 + 0.483765i 0.997291 + 0.0735534i \(0.0234339\pi\)
−0.911991 + 0.410211i \(0.865455\pi\)
\(600\) 3051.95 1014.18i 0.207659 0.0690062i
\(601\) −9100.75 7636.43i −0.617683 0.518297i 0.279392 0.960177i \(-0.409867\pi\)
−0.897074 + 0.441880i \(0.854312\pi\)
\(602\) −13882.7 + 24045.5i −0.939894 + 1.62795i
\(603\) −6885.49 + 5144.24i −0.465006 + 0.347412i
\(604\) −9139.63 15830.3i −0.615706 1.06643i
\(605\) 262.290 1487.52i 0.0176258 0.0999608i
\(606\) 992.682 + 6737.12i 0.0665428 + 0.451612i
\(607\) −3024.14 1100.70i −0.202218 0.0736013i 0.238926 0.971038i \(-0.423205\pi\)
−0.441143 + 0.897437i \(0.645427\pi\)
\(608\) −26088.8 9495.56i −1.74020 0.633381i
\(609\) 1449.95 + 9840.47i 0.0964775 + 0.654772i
\(610\) 1889.71 10717.1i 0.125430 0.711348i
\(611\) 1381.60 + 2393.01i 0.0914791 + 0.158446i
\(612\) 14530.9 10856.2i 0.959765 0.717053i
\(613\) 9555.33 16550.3i 0.629586 1.09047i −0.358049 0.933703i \(-0.616558\pi\)
0.987635 0.156772i \(-0.0501087\pi\)
\(614\) 12329.3 + 10345.5i 0.810373 + 0.679984i
\(615\) −3307.20 + 1099.00i −0.216844 + 0.0720585i
\(616\) 839.999 + 4763.87i 0.0549424 + 0.311594i
\(617\) −4183.34 + 3510.24i −0.272958 + 0.229039i −0.768983 0.639269i \(-0.779237\pi\)
0.496025 + 0.868308i \(0.334792\pi\)
\(618\) −5563.91 + 9037.62i −0.362157 + 0.588263i
\(619\) −20319.5 + 7395.70i −1.31940 + 0.480223i −0.903267 0.429079i \(-0.858838\pi\)
−0.416136 + 0.909302i \(0.636616\pi\)
\(620\) 7233.71 0.468569
\(621\) 14412.3 10146.3i 0.931311 0.655650i
\(622\) −3141.58 −0.202517
\(623\) −10122.3 + 3684.21i −0.650949 + 0.236926i
\(624\) −10728.3 303.051i −0.688260 0.0194419i
\(625\) 2324.67 1950.63i 0.148779 0.124840i
\(626\) 4033.87 + 22877.2i 0.257549 + 1.46063i
\(627\) 5078.76 24702.3i 0.323487 1.57339i
\(628\) 12300.0 + 10320.9i 0.781564 + 0.655810i
\(629\) 5049.45 8745.90i 0.320087 0.554407i
\(630\) −7788.79 7323.40i −0.492560 0.463129i
\(631\) 4884.12 + 8459.54i 0.308136 + 0.533707i 0.977955 0.208818i \(-0.0669616\pi\)
−0.669819 + 0.742525i \(0.733628\pi\)
\(632\) −1268.33 + 7193.07i −0.0798284 + 0.452729i
\(633\) −14744.5 + 11678.8i −0.925813 + 0.733316i
\(634\) 6731.19 + 2449.95i 0.421656 + 0.153470i
\(635\) −10753.4 3913.93i −0.672027 0.244598i
\(636\) −10001.2 3963.39i −0.623541 0.247105i
\(637\) −214.765 + 1218.00i −0.0133584 + 0.0757594i
\(638\) 8280.78 + 14342.7i 0.513854 + 0.890022i
\(639\) −20798.4 1175.96i −1.28760 0.0728018i
\(640\) 2681.25 4644.05i 0.165602 0.286832i
\(641\) 3720.57 + 3121.93i 0.229257 + 0.192369i 0.750179 0.661235i \(-0.229967\pi\)
−0.520922 + 0.853604i \(0.674412\pi\)
\(642\) 8712.17 + 7739.94i 0.535579 + 0.475811i
\(643\) −915.696 5193.17i −0.0561610 0.318505i 0.943766 0.330615i \(-0.107256\pi\)
−0.999927 + 0.0121102i \(0.996145\pi\)
\(644\) 10168.0 8531.98i 0.622168 0.522061i
\(645\) 6456.90 + 11950.8i 0.394171 + 0.729553i
\(646\) 47335.9 17228.9i 2.88298 1.04932i
\(647\) 9484.30 0.576300 0.288150 0.957585i \(-0.406960\pi\)
0.288150 + 0.957585i \(0.406960\pi\)
\(648\) 5110.87 + 579.800i 0.309836 + 0.0351492i
\(649\) −12467.0 −0.754041
\(650\) −8474.98 + 3084.64i −0.511409 + 0.186138i
\(651\) −8247.93 15265.7i −0.496562 0.919064i
\(652\) 13933.1 11691.3i 0.836908 0.702249i
\(653\) −2488.41 14112.5i −0.149126 0.845734i −0.963962 0.266042i \(-0.914284\pi\)
0.814836 0.579692i \(-0.196827\pi\)
\(654\) 23261.5 + 20665.6i 1.39082 + 1.23561i
\(655\) −4617.90 3874.88i −0.275475 0.231151i
\(656\) 4146.40 7181.78i 0.246783 0.427441i
\(657\) −6672.97 13231.0i −0.396252 0.785675i
\(658\) −3274.88 5672.26i −0.194025 0.336060i
\(659\) 3541.07 20082.4i 0.209318 1.18710i −0.681181 0.732115i \(-0.738533\pi\)
0.890499 0.454986i \(-0.150356\pi\)
\(660\) −7174.30 2843.12i −0.423120 0.167679i
\(661\) 25003.5 + 9100.53i 1.47129 + 0.535506i 0.948451 0.316924i \(-0.102650\pi\)
0.522840 + 0.852431i \(0.324872\pi\)
\(662\) 7809.84 + 2842.55i 0.458516 + 0.166886i
\(663\) 12227.8 9685.38i 0.716273 0.567344i
\(664\) −255.157 + 1447.06i −0.0149126 + 0.0845738i
\(665\) −6435.88 11147.3i −0.375298 0.650034i
\(666\) −8941.73 + 2693.52i −0.520248 + 0.156714i
\(667\) −6968.00 + 12068.9i −0.404501 + 0.700615i
\(668\) −6712.86 5632.76i −0.388815 0.326254i
\(669\) −1157.76 + 5631.14i −0.0669080 + 0.325429i
\(670\) 1268.37 + 7193.29i 0.0731365 + 0.414777i
\(671\) −14434.1 + 12111.6i −0.830435 + 0.696818i
\(672\) 20370.3 + 575.418i 1.16935 + 0.0330316i
\(673\) 26805.2 9756.28i 1.53531 0.558807i 0.570395 0.821371i \(-0.306790\pi\)
0.964915 + 0.262564i \(0.0845680\pi\)
\(674\) 12227.4 0.698784
\(675\) 11879.2 3215.46i 0.677380 0.183352i
\(676\) −8868.26 −0.504567
\(677\) 30268.6 11016.9i 1.71834 0.625426i 0.720650 0.693300i \(-0.243844\pi\)
0.997694 + 0.0678737i \(0.0216215\pi\)
\(678\) 13053.2 21202.8i 0.739391 1.20101i
\(679\) 5317.14 4461.61i 0.300520 0.252166i
\(680\) 820.854 + 4655.29i 0.0462916 + 0.262533i
\(681\) −22254.9 + 7395.43i −1.25229 + 0.416143i
\(682\) −22131.4 18570.5i −1.24260 1.04267i
\(683\) −12183.6 + 21102.6i −0.682566 + 1.18224i 0.291629 + 0.956531i \(0.405803\pi\)
−0.974195 + 0.225707i \(0.927531\pi\)
\(684\) −18556.3 7967.08i −1.03731 0.445364i
\(685\) 424.525 + 735.298i 0.0236792 + 0.0410136i
\(686\) 4371.65 24792.9i 0.243310 1.37988i
\(687\) 739.993 + 5022.18i 0.0410954 + 0.278905i
\(688\) −30373.5 11055.1i −1.68311 0.612602i
\(689\) −8693.72 3164.26i −0.480703 0.174962i
\(690\) −2183.47 14818.8i −0.120469 0.817596i
\(691\) −2580.34 + 14633.9i −0.142056 + 0.805641i 0.827628 + 0.561278i \(0.189690\pi\)
−0.969684 + 0.244363i \(0.921421\pi\)
\(692\) 7451.89 + 12907.1i 0.409362 + 0.709035i
\(693\) 2180.18 + 18382.1i 0.119507 + 1.00762i
\(694\) −9528.99 + 16504.7i −0.521204 + 0.902752i
\(695\) −8.74729 7.33984i −0.000477415 0.000400599i
\(696\) −3859.41 + 1282.50i −0.210187 + 0.0698465i
\(697\) 2092.97 + 11869.8i 0.113740 + 0.645053i
\(698\) 17637.1 14799.3i 0.956410 0.802523i
\(699\) 7111.02 11550.6i 0.384783 0.625015i
\(700\) 8708.96 3169.80i 0.470240 0.171153i
\(701\) 6052.67 0.326115 0.163057 0.986617i \(-0.447864\pi\)
0.163057 + 0.986617i \(0.447864\pi\)
\(702\) −14372.8 1220.60i −0.772745 0.0656250i
\(703\) −11243.5 −0.603211
\(704\) 9336.69 3398.28i 0.499843 0.181928i
\(705\) −3203.03 90.4790i −0.171111 0.00483353i
\(706\) −34040.6 + 28563.4i −1.81464 + 1.52266i
\(707\) −1045.03 5926.67i −0.0555905 0.315269i
\(708\) −2010.45 + 9778.52i −0.106720 + 0.519067i
\(709\) 15073.1 + 12647.8i 0.798424 + 0.669957i 0.947815 0.318821i \(-0.103287\pi\)
−0.149391 + 0.988778i \(0.547731\pi\)
\(710\) −8851.69 + 15331.6i −0.467884 + 0.810400i
\(711\) −6399.56 + 27207.5i −0.337556 + 1.43511i
\(712\) −2202.16 3814.25i −0.115912 0.200766i
\(713\) 4221.46 23941.1i 0.221732 1.25750i
\(714\) −28984.2 + 22957.7i −1.51919 + 1.20332i
\(715\) −6236.41 2269.87i −0.326194 0.118725i
\(716\) −11323.5 4121.43i −0.591034 0.215119i
\(717\) 8419.04 + 3336.40i 0.438514 + 0.173780i
\(718\) −7045.72 + 39958.3i −0.366217 + 2.07692i
\(719\) −5391.15 9337.75i −0.279633 0.484339i 0.691661 0.722223i \(-0.256879\pi\)
−0.971294 + 0.237884i \(0.923546\pi\)
\(720\) 6821.44 10409.9i 0.353083 0.538827i
\(721\) 4689.53 8122.50i 0.242229 0.419553i
\(722\) −23216.7 19481.1i −1.19672 1.00417i
\(723\) −19502.6 17326.2i −1.00319 0.891243i
\(724\) 1388.09 + 7872.24i 0.0712540 + 0.404101i
\(725\) −7454.01 + 6254.65i −0.381841 + 0.320403i
\(726\) 2296.24 + 4250.02i 0.117385 + 0.217263i
\(727\) 3429.83 1248.35i 0.174973 0.0636849i −0.253048 0.967454i \(-0.581433\pi\)
0.428021 + 0.903769i \(0.359211\pi\)
\(728\) 3331.22 0.169593
\(729\) 19401.1 + 3319.20i 0.985679 + 0.168633i
\(730\) −12593.2 −0.638486
\(731\) 44145.5 16067.7i 2.23363 0.812974i
\(732\) 7172.13 + 13274.6i 0.362144 + 0.670276i
\(733\) −6061.97 + 5086.59i −0.305462 + 0.256313i −0.782613 0.622508i \(-0.786114\pi\)
0.477151 + 0.878821i \(0.341669\pi\)
\(734\) 3903.69 + 22138.9i 0.196305 + 1.11330i
\(735\) −1072.21 952.553i −0.0538080 0.0478033i
\(736\) 21871.7 + 18352.5i 1.09538 + 0.919134i
\(737\) 6323.48 10952.6i 0.316049 0.547413i
\(738\) 6108.77 9322.35i 0.304698 0.464987i
\(739\) 16337.7 + 28297.8i 0.813251 + 1.40859i 0.910577 + 0.413340i \(0.135638\pi\)
−0.0973258 + 0.995253i \(0.531029\pi\)
\(740\) −597.449 + 3388.30i −0.0296793 + 0.168319i
\(741\) −16145.3 6398.27i −0.800423 0.317202i
\(742\) 20607.1 + 7500.38i 1.01956 + 0.371089i
\(743\) −21225.8 7725.55i −1.04805 0.381458i −0.240121 0.970743i \(-0.577187\pi\)
−0.807925 + 0.589285i \(0.799409\pi\)
\(744\) 5561.28 4404.96i 0.274041 0.217061i
\(745\) 1881.02 10667.8i 0.0925035 0.524613i
\(746\) −7231.46 12525.3i −0.354910 0.614721i
\(747\) −1287.43 + 5473.47i −0.0630585 + 0.268091i
\(748\) −13344.8 + 23113.9i −0.652320 + 1.12985i
\(749\) −7889.30 6619.91i −0.384872 0.322946i
\(750\) 5107.59 24842.5i 0.248670 1.20949i
\(751\) −2473.04 14025.3i −0.120163 0.681480i −0.984064 0.177817i \(-0.943096\pi\)
0.863900 0.503663i \(-0.168015\pi\)
\(752\) 5840.97 4901.16i 0.283242 0.237669i
\(753\) −13158.4 371.697i −0.636811 0.0179886i
\(754\) 10717.2 3900.75i 0.517637 0.188405i
\(755\) 18229.4 0.878725
\(756\) 14769.6 + 1254.30i 0.710537 + 0.0603420i
\(757\) −2609.23 −0.125276 −0.0626381 0.998036i \(-0.519951\pi\)
−0.0626381 + 0.998036i \(0.519951\pi\)
\(758\) 264.497 96.2692i 0.0126741 0.00461300i
\(759\) −13596.5 + 22085.3i −0.650228 + 1.05618i
\(760\) 4031.60 3382.92i 0.192423 0.161462i
\(761\) 6696.33 + 37976.8i