Properties

Label 27.4.e.a.4.7
Level 27
Weight 4
Character 27.4
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 4.7
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.7

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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 0.879902 0.475156i \(-0.157608\pi\)
0.368620 + 0.929580i \(0.379830\pi\)
\(3\) −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 −0.899966 0.435959i \(-0.856409\pi\)
0.994799 0.101861i \(-0.0324798\pi\)
\(6\) −14.5982 + 12.9691i −0.993283 + 0.882438i
\(7\) 13.2194 11.0924i 0.713781 0.598934i −0.211876 0.977297i \(-0.567957\pi\)
0.925657 + 0.378363i \(0.123513\pi\)
\(8\) −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 0.920576 + 0.390564i \(0.127720\pi\)
−0.731478 + 0.681865i \(0.761169\pi\)
\(12\) −29.5755 + 11.7206i −0.711476 + 0.281953i
\(13\) −25.7091 + 9.35736i −0.548495 + 0.199636i −0.601378 0.798965i \(-0.705381\pi\)
0.0528828 + 0.998601i \(0.483159\pi\)
\(14\) 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 0.147629 + 0.989043i \(0.452836\pi\)
−0.930351 + 0.366671i \(0.880498\pi\)
\(18\) −23.2320 98.7702i −0.304213 1.29335i
\(19\) −61.0814 105.796i −0.737528 1.27744i −0.953605 0.301060i \(-0.902660\pi\)
0.216077 0.976376i \(-0.430674\pi\)
\(20\) 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 0.964621 0.263641i \(-0.0849234\pi\)
−0.0921311 + 0.995747i \(0.529368\pi\)
\(24\) 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 −0.0140090 0.999902i \(-0.504459\pi\)
−0.653456 + 0.756964i \(0.726682\pi\)
\(30\) 62.5058 + 101.530i 0.380398 + 0.617892i
\(31\) 148.234 + 124.383i 0.858826 + 0.720641i 0.961715 0.274052i \(-0.0883641\pi\)
−0.102889 + 0.994693i \(0.532809\pi\)
\(32\) 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 −0.745493 0.666513i \(-0.767786\pi\)
0.949964 + 0.312360i \(0.101119\pi\)
\(38\) −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 −0.531042 0.847345i \(-0.678199\pi\)
0.137861 + 0.990452i \(0.455977\pi\)
\(42\) −49.1210 + 333.374i −0.180465 + 1.22478i
\(43\) −74.3465 421.640i −0.263668 1.49534i −0.772801 0.634649i \(-0.781145\pi\)
0.509132 0.860688i \(-0.329966\pi\)
\(44\) −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 −0.754902 0.655838i \(-0.772315\pi\)
0.514787 + 0.857318i \(0.327871\pi\)
\(48\) 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 0.863782 + 0.503865i \(0.168089\pi\)
−0.984022 + 0.178048i \(0.943022\pi\)
\(60\) 39.1183 + 190.265i 0.0841691 + 0.409385i
\(61\) −363.315 + 304.858i −0.762586 + 0.639885i −0.938799 0.344467i \(-0.888060\pi\)
0.176213 + 0.984352i \(0.443615\pi\)
\(62\) 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 −0.0545749 0.998510i \(-0.517380\pi\)
0.600023 + 0.799983i \(0.295158\pi\)
\(68\) −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 −0.339516 0.940600i \(-0.610263\pi\)
0.984342 0.176271i \(-0.0564034\pi\)
\(72\) −85.7875 + 170.097i −0.140419 + 0.278418i
\(73\) −274.416 475.302i −0.439972 0.762054i 0.557715 0.830033i \(-0.311678\pi\)
−0.997687 + 0.0679788i \(0.978345\pi\)
\(74\) 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 0.923800 0.382876i \(-0.125066\pi\)
0.461564 + 0.887107i \(0.347289\pi\)
\(80\) −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 0.468161 0.883643i \(-0.344917\pi\)
−0.209363 + 0.977838i \(0.567139\pi\)
\(84\) −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 0.618108 0.786094i \(-0.287900\pi\)
−0.989831 + 0.142250i \(0.954566\pi\)
\(90\) −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 0.999294 + 0.0375576i \(0.0119578\pi\)
−0.926184 + 0.377071i \(0.876931\pi\)
\(98\) −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 −0.764828 0.644234i \(-0.777176\pi\)
0.501636 + 0.865079i \(0.332732\pi\)
\(102\) −431.498 2098.73i −0.418869 2.03731i
\(103\) −94.3781 + 535.245i −0.0902849 + 0.512031i 0.905806 + 0.423693i \(0.139267\pi\)
−0.996091 + 0.0883379i \(0.971844\pi\)
\(104\) 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 −0.742487 0.669860i \(-0.766354\pi\)
0.926815 0.375517i \(-0.122535\pi\)
\(114\) 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 −0.981953 0.189126i \(-0.939435\pi\)
0.327189 0.944959i \(-0.393899\pi\)
\(128\) −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 0.354737 0.934966i \(-0.384570\pi\)
−0.859162 + 0.511703i \(0.829015\pi\)
\(132\) −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 0.382443 0.923979i \(-0.375083\pi\)
−0.300954 + 0.953639i \(0.597305\pi\)
\(138\) −2452.23 + 69.2705i −1.51267 + 0.0427297i
\(139\) −1.43262 1.20211i −0.000874199 0.000733540i 0.642350 0.766411i \(-0.277959\pi\)
−0.643225 + 0.765678i \(0.722404\pi\)
\(140\) 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 −0.756892 0.653541i \(-0.773283\pi\)
−0.159725 + 0.987162i \(0.551061\pi\)
\(150\) −1592.42 + 631.064i −0.866803 + 0.343508i
\(151\) 518.445 + 2940.25i 0.279407 + 1.58460i 0.724605 + 0.689164i \(0.242022\pi\)
−0.445198 + 0.895432i \(0.646867\pi\)
\(152\) −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 −0.618371 0.785886i \(-0.712207\pi\)
0.849868 0.526996i \(-0.176682\pi\)
\(158\) 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 0.871502 + 0.490391i \(0.163146\pi\)
−0.986668 + 0.162746i \(0.947965\pi\)
\(168\) 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 −0.924964 0.380054i \(-0.875906\pi\)
0.739196 0.673490i \(-0.235206\pi\)
\(174\) 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 −0.994991 0.0999650i \(-0.968127\pi\)
0.584068 + 0.811705i \(0.301460\pi\)
\(180\) −966.430 291.118i −0.400186 0.120548i
\(181\) −652.816 1130.71i −0.268085 0.464337i 0.700282 0.713866i \(-0.253058\pi\)
−0.968367 + 0.249529i \(0.919724\pi\)
\(182\) −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 0.402447 0.915443i \(-0.368160\pi\)
−0.280143 + 0.959958i \(0.590382\pi\)
\(192\) 681.278 + 1106.62i 0.256078 + 0.415955i
\(193\) −314.322 263.748i −0.117230 0.0983677i 0.582288 0.812983i \(-0.302158\pi\)
−0.699518 + 0.714615i \(0.746602\pi\)
\(194\) −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 0.969223 0.246184i \(-0.0791767\pi\)
−0.697813 + 0.716280i \(0.745843\pi\)
\(198\) 3704.14 1590.36i 1.32950 0.570818i
\(199\) 70.9462 122.882i 0.0252726 0.0437734i −0.853113 0.521727i \(-0.825288\pi\)
0.878385 + 0.477954i \(0.158621\pi\)
\(200\) −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 0.692215 + 0.721692i \(0.256635\pi\)
−0.897302 + 0.441417i \(0.854476\pi\)
\(212\) 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 −0.761111 0.648622i \(-0.775346\pi\)
0.506603 + 0.862180i \(0.330901\pi\)
\(224\) −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 0.854590 + 0.519303i \(0.173808\pi\)
−0.625440 + 0.780272i \(0.715081\pi\)
\(228\) 3046.50 + 2413.07i 0.884910 + 0.700917i
\(229\) −918.036 + 334.138i −0.264915 + 0.0964212i −0.471063 0.882100i \(-0.656129\pi\)
0.206148 + 0.978521i \(0.433907\pi\)
\(230\) 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 −0.622111 0.782929i \(-0.713725\pi\)
0.989092 + 0.147299i \(0.0470579\pi\)
\(234\) 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 0.443986 0.896034i \(-0.353564\pi\)
−0.805324 + 0.592835i \(0.798008\pi\)
\(240\) 1138.55 2107.29i 0.306222 0.566772i
\(241\) 4717.74 + 1717.12i 1.26098 + 0.458959i 0.884098 0.467302i \(-0.154774\pi\)
0.376882 + 0.926261i \(0.376996\pi\)
\(242\) −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 0.980182 0.198099i \(-0.0634766\pi\)
−0.661650 + 0.749813i \(0.730143\pi\)
\(252\) −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 0.507676 0.861548i \(-0.330505\pi\)
0.942695 + 0.333657i \(0.108283\pi\)
\(258\) 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 −0.747651 0.664092i \(-0.768818\pi\)
0.524174 + 0.851611i \(0.324374\pi\)
\(264\) 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 −0.861733 0.507362i \(-0.830621\pi\)
0.350016 + 0.936744i \(0.386176\pi\)
\(278\) −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 0.922374 + 0.386299i \(0.126247\pi\)
−0.734626 + 0.678472i \(0.762642\pi\)
\(282\) 287.489 1951.13i 0.0607082 0.412014i
\(283\) 4167.77 1516.94i 0.875435 0.318632i 0.135069 0.990836i \(-0.456874\pi\)
0.740366 + 0.672204i \(0.234652\pi\)
\(284\) 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 0.709781 0.704423i \(-0.248794\pi\)
−0.570469 + 0.821319i \(0.693238\pi\)
\(294\) −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 −0.595392 0.803435i \(-0.703003\pi\)
0.993491 + 0.113907i \(0.0363367\pi\)
\(308\) 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 −0.412641 0.910894i \(-0.635394\pi\)
0.269410 + 0.963026i \(0.413171\pi\)
\(312\) −932.507 + 369.545i −0.169208 + 0.0670557i
\(313\) −1073.41 6087.62i −0.193843 1.09934i −0.914057 0.405586i \(-0.867068\pi\)
0.720214 0.693752i \(-0.244044\pi\)
\(314\) 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 −0.504201 0.863586i \(-0.668213\pi\)
0.762913 + 0.646501i \(0.223769\pi\)
\(318\) −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 −0.491194 0.871050i \(-0.663439\pi\)
0.772522 + 0.634988i \(0.218995\pi\)
\(332\) 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 −0.0828736 0.996560i \(-0.526410\pi\)
0.577092 + 0.816679i \(0.304188\pi\)
\(338\) −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 0.290760 0.956796i \(-0.406092\pi\)
−0.891770 + 0.452489i \(0.850536\pi\)
\(348\) 3527.56 99.6462i 0.543382 0.0153494i
\(349\) 5757.10 + 2095.41i 0.883010 + 0.321389i 0.743424 0.668821i \(-0.233201\pi\)
0.139586 + 0.990210i \(0.455423\pi\)
\(350\) 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 −0.682709 0.730690i \(-0.739198\pi\)
−0.992664 + 0.120904i \(0.961421\pi\)
\(354\) −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 −0.923694 0.383132i \(-0.874845\pi\)
0.130045 0.991508i \(-0.458488\pi\)
\(360\) 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 −0.965120 0.261809i \(-0.915681\pi\)
0.817372 0.576110i \(-0.195430\pi\)
\(368\) 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 0.902638 + 0.430401i \(0.141628\pi\)
−0.995408 + 0.0957242i \(0.969483\pi\)
\(374\) −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 0.277155 + 0.960825i \(0.410608\pi\)
−0.589062 + 0.808088i \(0.700503\pi\)
\(384\) −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 0.988534 + 0.151001i \(0.0482497\pi\)
−0.877272 + 0.479993i \(0.840639\pi\)
\(390\) −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 0.974802 0.223070i \(-0.0716078\pi\)
−0.680585 + 0.732669i \(0.738274\pi\)
\(398\) 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 0.866557 0.499077i \(-0.166328\pi\)
−0.341019 + 0.940056i \(0.610772\pi\)
\(402\) −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 0.824554 0.565783i \(-0.191426\pi\)
−0.414005 + 0.910275i \(0.635870\pi\)
\(410\) −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 0.491855 0.870677i \(-0.336319\pi\)
0.936443 + 0.350819i \(0.114097\pi\)
\(420\) 2627.62 + 2081.27i 0.305273 + 0.241800i
\(421\) 2100.59 + 11913.0i 0.243174 + 1.37911i 0.824695 + 0.565578i \(0.191347\pi\)
−0.581521 + 0.813531i \(0.697542\pi\)
\(422\) −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 −0.360443 0.932781i \(-0.617374\pi\)
0.856020 + 0.516942i \(0.172930\pi\)
\(440\) −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 0.961616 0.274400i \(-0.0884794\pi\)
−0.997473 + 0.0710398i \(0.977368\pi\)
\(444\) −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 −0.965680 0.259733i \(-0.916365\pi\)
0.707776 + 0.706437i \(0.249699\pi\)
\(450\) 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 0.633637 0.773630i \(-0.281561\pi\)
−0.0118858 + 0.999929i \(0.503783\pi\)
\(458\) −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 −0.532055 0.846710i \(-0.678580\pi\)
−0.951832 + 0.306619i \(0.900802\pi\)
\(462\) −13382.2 + 378.020i −1.34761 + 0.0380673i
\(463\) 11673.6 + 9795.28i 1.17174 + 0.983208i 0.999998 0.00193368i \(-0.000615511\pi\)
0.171744 + 0.985142i \(0.445060\pi\)
\(464\) −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 −0.999987 0.00519360i \(-0.998347\pi\)
0.495495 0.868611i \(-0.334987\pi\)
\(468\) 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 −0.141231 0.989977i \(-0.545106\pi\)
0.950412 + 0.310993i \(0.100662\pi\)
\(480\) 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 −0.623383 0.781917i \(-0.714242\pi\)
0.853219 0.521552i \(-0.174647\pi\)
\(492\) 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 −0.937521 0.347929i \(-0.886885\pi\)
−0.494538 + 0.869156i \(0.664663\pi\)
\(500\) 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 −0.633774 0.773518i \(-0.718495\pi\)
0.986773 + 0.162105i \(0.0518284\pi\)
\(504\) 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 0.804086 0.594513i \(-0.202655\pi\)
−0.445853 + 0.895106i \(0.647100\pi\)
\(510\) −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 0.994460 + 0.105120i \(0.0335226\pi\)
−0.406193 + 0.913787i \(0.633144\pi\)
\(522\) −1325.63 + 11177.0i −0.111152 + 0.937173i
\(523\) −3565.45 + 6175.53i −0.298099 + 0.516323i −0.975701 0.219106i \(-0.929686\pi\)
0.677602 + 0.735429i \(0.263019\pi\)
\(524\) −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 −0.606807 0.794849i \(-0.707550\pi\)
0.677402 + 0.735613i \(0.263106\pi\)
\(548\) 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 −0.925392 0.379010i \(-0.876264\pi\)
0.790929 + 0.611908i \(0.209598\pi\)
\(558\) 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 0.965306 0.261122i \(-0.0840925\pi\)
−0.0895314 + 0.995984i \(0.528537\pi\)
\(564\) 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 −0.696420 0.717635i \(-0.745225\pi\)
−0.994775 + 0.102090i \(0.967447\pi\)
\(570\) 6923.53 12814.5i 0.508763 0.941647i
\(571\) −17073.5 14326.4i −1.25132 1.04998i −0.996551 0.0829818i \(-0.973556\pi\)
−0.254770 0.967002i \(-0.582000\pi\)
\(572\) 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 −0.675214 0.737621i \(-0.735949\pi\)
0.976406 + 0.215942i \(0.0692823\pi\)
\(578\) −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 −0.312259 0.949997i \(-0.601086\pi\)
0.881341 + 0.472481i \(0.156641\pi\)
\(588\) −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 −0.911991 0.410211i \(-0.865455\pi\)
0.997291 0.0735534i \(-0.0234339\pi\)
\(600\) 3051.95 + 1014.18i 0.207659 + 0.0690062i
\(601\) −9100.75 + 7636.43i −0.617683 + 0.518297i −0.897074 0.441880i \(-0.854312\pi\)
0.279392 + 0.960177i \(0.409867\pi\)
\(602\) −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 −0.441143 0.897437i \(-0.645427\pi\)
0.238926 + 0.971038i \(0.423205\pi\)
\(608\) −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 0.987635 + 0.156772i \(0.0501087\pi\)
−0.358049 + 0.933703i \(0.616558\pi\)
\(614\) 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 0.496025 0.868308i \(-0.334792\pi\)
−0.768983 + 0.639269i \(0.779237\pi\)
\(618\) −5563.91 9037.62i −0.362157 0.588263i
\(619\) −20319.5 7395.70i −1.31940 0.480223i −0.416136 0.909302i \(-0.636616\pi\)
−0.903267 + 0.429079i \(0.858838\pi\)
\(620\) 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 −0.669819 0.742525i \(-0.733628\pi\)
0.977955 + 0.208818i \(0.0669616\pi\)
\(632\) −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 −0.520922 0.853604i \(-0.674412\pi\)
0.750179 + 0.661235i \(0.229967\pi\)
\(642\) 8712.17 7739.94i 0.535579 0.475811i
\(643\) −915.696 + 5193.17i −0.0561610 + 0.318505i −0.999927 0.0121102i \(-0.996145\pi\)
0.943766 + 0.330615i \(0.107256\pi\)
\(644\) 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 0.814836 + 0.579692i \(0.196827\pi\)
−0.963962 + 0.266042i \(0.914284\pi\)
\(654\) 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 0.890499 + 0.454986i \(0.150356\pi\)
−0.681181 + 0.732115i \(0.738533\pi\)
\(660\) −7174.30 + 2843.12i −0.423120 + 0.167679i
\(661\) 25003.5 9100.53i 1.47129 0.535506i 0.522840 0.852431i \(-0.324872\pi\)
0.948451 + 0.316924i \(0.102650\pi\)
\(662\) 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 0.964915 0.262564i \(-0.0845680\pi\)
0.570395 + 0.821371i \(0.306790\pi\)
\(674\) 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 0.997694 0.0678737i \(-0.0216215\pi\)
0.720650 + 0.693300i \(0.243844\pi\)
\(678\) 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 −0.974195 0.225707i \(-0.927531\pi\)
0.291629 0.956531i \(-0.405803\pi\)
\(684\) −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 −0.969684 0.244363i \(-0.921421\pi\)
0.827628 0.561278i \(-0.189690\pi\)
\(692\) 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 −0.149391 0.988778i \(-0.547731\pi\)
0.947815 + 0.318821i \(0.103287\pi\)
\(710\) −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 −0.971294 0.237884i \(-0.923546\pi\)
0.691661 + 0.722223i \(0.256879\pi\)
\(720\) 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 0.428021 0.903769i \(-0.359211\pi\)
−0.253048 + 0.967454i \(0.581433\pi\)
\(728\) 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 0.477151 0.878821i \(-0.341669\pi\)
−0.782613 + 0.622508i \(0.786114\pi\)
\(734\) 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 −0.0973258 0.995253i \(-0.531029\pi\)
0.910577 0.413340i \(-0.135638\pi\)
\(740\) −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 −0.807925 0.589285i \(-0.799409\pi\)
−0.240121 + 0.970743i \(0.577187\pi\)
\(744\) 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 0.863900 + 0.503663i \(0.168015\pi\)
−0.984064 + 0.177817i \(0.943096\pi\)
\(752\) 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 0.318977 1.80901i −0.230020