Properties

Label 27.4.e.a.13.8
Level 27
Weight 4
Character 27.13
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 13.8
Character \(\chi\) = 27.13
Dual form 27.4.e.a.25.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.904728 + 5.13097i) q^{2} +(-4.65940 - 2.30000i) q^{3} +(-17.9907 + 6.54810i) q^{4} +(10.7601 + 9.02881i) q^{5} +(7.58576 - 25.9881i) q^{6} +(9.67890 + 3.52283i) q^{7} +(-29.0343 - 50.2889i) q^{8} +(16.4200 + 21.4333i) q^{9} +O(q^{10})\) \(q+(0.904728 + 5.13097i) q^{2} +(-4.65940 - 2.30000i) q^{3} +(-17.9907 + 6.54810i) q^{4} +(10.7601 + 9.02881i) q^{5} +(7.58576 - 25.9881i) q^{6} +(9.67890 + 3.52283i) q^{7} +(-29.0343 - 50.2889i) q^{8} +(16.4200 + 21.4333i) q^{9} +(-36.5916 + 63.3784i) q^{10} +(21.5580 - 18.0893i) q^{11} +(98.8867 + 10.8686i) q^{12} +(-1.35031 + 7.65800i) q^{13} +(-9.31876 + 52.8493i) q^{14} +(-29.3694 - 66.8172i) q^{15} +(114.433 - 96.0207i) q^{16} +(4.59856 - 7.96494i) q^{17} +(-95.1178 + 103.642i) q^{18} +(-46.7770 - 81.0201i) q^{19} +(-252.704 - 91.9768i) q^{20} +(-36.9953 - 38.6758i) q^{21} +(112.320 + 94.2475i) q^{22} +(144.583 - 52.6238i) q^{23} +(19.6177 + 301.095i) q^{24} +(12.5547 + 71.2013i) q^{25} -40.5146 q^{26} +(-27.2105 - 137.632i) q^{27} -197.199 q^{28} +(30.3142 + 171.920i) q^{29} +(316.265 - 211.145i) q^{30} +(-199.014 + 72.4350i) q^{31} +(240.345 + 201.673i) q^{32} +(-142.053 + 34.7018i) q^{33} +(45.0283 + 16.3890i) q^{34} +(72.3392 + 125.295i) q^{35} +(-435.754 - 278.081i) q^{36} +(51.0621 - 88.4422i) q^{37} +(373.391 - 313.312i) q^{38} +(23.9051 - 32.5759i) q^{39} +(141.636 - 803.260i) q^{40} +(7.73239 - 43.8526i) q^{41} +(164.974 - 224.813i) q^{42} +(-10.2238 + 8.57879i) q^{43} +(-269.394 + 466.604i) q^{44} +(-16.8363 + 378.877i) q^{45} +(400.819 + 694.239i) q^{46} +(329.686 + 119.996i) q^{47} +(-754.037 + 184.202i) q^{48} +(-181.482 - 152.282i) q^{49} +(-353.973 + 128.836i) q^{50} +(-39.7459 + 26.5351i) q^{51} +(-25.8522 - 146.615i) q^{52} -102.943 q^{53} +(681.568 - 264.136i) q^{54} +395.292 q^{55} +(-103.861 - 589.024i) q^{56} +(31.6059 + 485.092i) q^{57} +(-854.691 + 311.082i) q^{58} +(-484.566 - 406.599i) q^{59} +(965.902 + 1009.78i) q^{60} +(549.302 + 199.930i) q^{61} +(-551.715 - 955.598i) q^{62} +(83.4213 + 265.295i) q^{63} +(-219.804 + 380.712i) q^{64} +(-83.6722 + 70.2093i) q^{65} +(-306.573 - 697.473i) q^{66} +(128.102 - 726.503i) q^{67} +(-30.5763 + 173.407i) q^{68} +(-794.704 - 87.3458i) q^{69} +(-577.438 + 484.528i) q^{70} +(-476.973 + 826.141i) q^{71} +(601.113 - 1448.04i) q^{72} +(-489.146 - 847.225i) q^{73} +(499.991 + 181.982i) q^{74} +(105.266 - 360.631i) q^{75} +(1372.08 + 1151.31i) q^{76} +(272.384 - 99.1395i) q^{77} +(188.774 + 93.1838i) q^{78} +(30.7362 + 174.314i) q^{79} +2098.27 q^{80} +(-189.770 + 703.867i) q^{81} +232.002 q^{82} +(-141.179 - 800.664i) q^{83} +(918.826 + 453.558i) q^{84} +(121.395 - 44.1842i) q^{85} +(-53.2672 - 44.6965i) q^{86} +(254.172 - 870.768i) q^{87} +(-1535.61 - 558.918i) q^{88} +(402.317 + 696.834i) q^{89} +(-1959.24 + 256.394i) q^{90} +(-40.0474 + 69.3641i) q^{91} +(-2256.57 + 1893.48i) q^{92} +(1093.88 + 120.229i) q^{93} +(-317.419 + 1800.17i) q^{94} +(228.189 - 1294.13i) q^{95} +(-656.012 - 1492.47i) q^{96} +(-274.487 + 230.322i) q^{97} +(617.161 - 1068.95i) q^{98} +(741.695 + 165.033i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.904728 + 5.13097i 0.319870 + 1.81407i 0.543514 + 0.839400i \(0.317093\pi\)
−0.223645 + 0.974671i \(0.571796\pi\)
\(3\) −4.65940 2.30000i −0.896701 0.442636i
\(4\) −17.9907 + 6.54810i −2.24884 + 0.818512i
\(5\) 10.7601 + 9.02881i 0.962414 + 0.807562i 0.981344 0.192259i \(-0.0615814\pi\)
−0.0189297 + 0.999821i \(0.506026\pi\)
\(6\) 7.58576 25.9881i 0.516146 1.76827i
\(7\) 9.67890 + 3.52283i 0.522612 + 0.190215i 0.589836 0.807523i \(-0.299192\pi\)
−0.0672248 + 0.997738i \(0.521414\pi\)
\(8\) −29.0343 50.2889i −1.28315 2.22248i
\(9\) 16.4200 + 21.4333i 0.608147 + 0.793825i
\(10\) −36.5916 + 63.3784i −1.15713 + 2.00420i
\(11\) 21.5580 18.0893i 0.590908 0.495831i −0.297601 0.954690i \(-0.596186\pi\)
0.888509 + 0.458860i \(0.151742\pi\)
\(12\) 98.8867 + 10.8686i 2.37884 + 0.261458i
\(13\) −1.35031 + 7.65800i −0.0288084 + 0.163381i −0.995818 0.0913595i \(-0.970879\pi\)
0.967010 + 0.254740i \(0.0819899\pi\)
\(14\) −9.31876 + 52.8493i −0.177896 + 1.00890i
\(15\) −29.3694 66.8172i −0.505542 1.15014i
\(16\) 114.433 96.0207i 1.78802 1.50032i
\(17\) 4.59856 7.96494i 0.0656068 0.113634i −0.831356 0.555740i \(-0.812435\pi\)
0.896963 + 0.442106i \(0.145768\pi\)
\(18\) −95.1178 + 103.642i −1.24553 + 1.35714i
\(19\) −46.7770 81.0201i −0.564809 0.978278i −0.997067 0.0765282i \(-0.975616\pi\)
0.432258 0.901750i \(-0.357717\pi\)
\(20\) −252.704 91.9768i −2.82532 1.02833i
\(21\) −36.9953 38.6758i −0.384430 0.401893i
\(22\) 112.320 + 94.2475i 1.08849 + 0.913347i
\(23\) 144.583 52.6238i 1.31077 0.477080i 0.410278 0.911961i \(-0.365432\pi\)
0.900488 + 0.434881i \(0.143210\pi\)
\(24\) 19.6177 + 301.095i 0.166852 + 2.56086i
\(25\) 12.5547 + 71.2013i 0.100438 + 0.569610i
\(26\) −40.5146 −0.305599
\(27\) −27.2105 137.632i −0.193950 0.981011i
\(28\) −197.199 −1.33096
\(29\) 30.3142 + 171.920i 0.194110 + 1.10085i 0.913680 + 0.406435i \(0.133228\pi\)
−0.719569 + 0.694420i \(0.755661\pi\)
\(30\) 316.265 211.145i 1.92473 1.28498i
\(31\) −199.014 + 72.4350i −1.15303 + 0.419668i −0.846602 0.532226i \(-0.821356\pi\)
−0.306427 + 0.951894i \(0.599133\pi\)
\(32\) 240.345 + 201.673i 1.32773 + 1.11410i
\(33\) −142.053 + 34.7018i −0.749340 + 0.183055i
\(34\) 45.0283 + 16.3890i 0.227126 + 0.0826672i
\(35\) 72.3392 + 125.295i 0.349359 + 0.605107i
\(36\) −435.754 278.081i −2.01738 1.28741i
\(37\) 51.0621 88.4422i 0.226880 0.392968i −0.730002 0.683445i \(-0.760481\pi\)
0.956882 + 0.290478i \(0.0938142\pi\)
\(38\) 373.391 313.312i 1.59400 1.33752i
\(39\) 23.9051 32.5759i 0.0981506 0.133752i
\(40\) 141.636 803.260i 0.559867 3.17516i
\(41\) 7.73239 43.8526i 0.0294536 0.167040i −0.966533 0.256542i \(-0.917417\pi\)
0.995987 + 0.0895028i \(0.0285278\pi\)
\(42\) 164.974 224.813i 0.606094 0.825937i
\(43\) −10.2238 + 8.57879i −0.0362585 + 0.0304245i −0.660737 0.750618i \(-0.729756\pi\)
0.624478 + 0.781042i \(0.285312\pi\)
\(44\) −269.394 + 466.604i −0.923016 + 1.59871i
\(45\) −16.8363 + 378.877i −0.0557734 + 1.25510i
\(46\) 400.819 + 694.239i 1.28473 + 2.22522i
\(47\) 329.686 + 119.996i 1.02318 + 0.372409i 0.798482 0.602019i \(-0.205637\pi\)
0.224703 + 0.974427i \(0.427859\pi\)
\(48\) −754.037 + 184.202i −2.26741 + 0.553902i
\(49\) −181.482 152.282i −0.529103 0.443970i
\(50\) −353.973 + 128.836i −1.00119 + 0.364402i
\(51\) −39.7459 + 26.5351i −0.109128 + 0.0728561i
\(52\) −25.8522 146.615i −0.0689433 0.390997i
\(53\) −102.943 −0.266798 −0.133399 0.991062i \(-0.542589\pi\)
−0.133399 + 0.991062i \(0.542589\pi\)
\(54\) 681.568 264.136i 1.71759 0.665635i
\(55\) 395.292 0.969112
\(56\) −103.861 589.024i −0.247839 1.40557i
\(57\) 31.6059 + 485.092i 0.0734439 + 1.12723i
\(58\) −854.691 + 311.082i −1.93494 + 0.704260i
\(59\) −484.566 406.599i −1.06924 0.897199i −0.0742564 0.997239i \(-0.523658\pi\)
−0.994983 + 0.100041i \(0.968103\pi\)
\(60\) 965.902 + 1009.78i 2.07829 + 2.17269i
\(61\) 549.302 + 199.930i 1.15297 + 0.419645i 0.846580 0.532262i \(-0.178658\pi\)
0.306386 + 0.951907i \(0.400880\pi\)
\(62\) −551.715 955.598i −1.13013 1.95744i
\(63\) 83.4213 + 265.295i 0.166827 + 0.530541i
\(64\) −219.804 + 380.712i −0.429306 + 0.743579i
\(65\) −83.6722 + 70.2093i −0.159665 + 0.133975i
\(66\) −306.573 697.473i −0.571765 1.30080i
\(67\) 128.102 726.503i 0.233585 1.32472i −0.611990 0.790866i \(-0.709631\pi\)
0.845574 0.533858i \(-0.179258\pi\)
\(68\) −30.5763 + 173.407i −0.0545283 + 0.309246i
\(69\) −794.704 87.3458i −1.38654 0.152394i
\(70\) −577.438 + 484.528i −0.985957 + 0.827316i
\(71\) −476.973 + 826.141i −0.797272 + 1.38091i 0.124115 + 0.992268i \(0.460391\pi\)
−0.921387 + 0.388647i \(0.872943\pi\)
\(72\) 601.113 1448.04i 0.983915 2.37019i
\(73\) −489.146 847.225i −0.784249 1.35836i −0.929447 0.368956i \(-0.879715\pi\)
0.145198 0.989403i \(-0.453618\pi\)
\(74\) 499.991 + 181.982i 0.785443 + 0.285878i
\(75\) 105.266 360.631i 0.162067 0.555228i
\(76\) 1372.08 + 1151.31i 2.07090 + 1.73769i
\(77\) 272.384 99.1395i 0.403130 0.146727i
\(78\) 188.774 + 93.1838i 0.274031 + 0.135269i
\(79\) 30.7362 + 174.314i 0.0437733 + 0.248251i 0.998841 0.0481379i \(-0.0153287\pi\)
−0.955067 + 0.296389i \(0.904218\pi\)
\(80\) 2098.27 2.93242
\(81\) −189.770 + 703.867i −0.260316 + 0.965524i
\(82\) 232.002 0.312443
\(83\) −141.179 800.664i −0.186703 1.05885i −0.923747 0.383002i \(-0.874890\pi\)
0.737044 0.675845i \(-0.236221\pi\)
\(84\) 918.826 + 453.558i 1.19348 + 0.589133i
\(85\) 121.395 44.1842i 0.154908 0.0563817i
\(86\) −53.2672 44.6965i −0.0667901 0.0560436i
\(87\) 254.172 870.768i 0.313219 1.07306i
\(88\) −1535.61 558.918i −1.86019 0.677055i
\(89\) 402.317 + 696.834i 0.479163 + 0.829935i 0.999714 0.0238952i \(-0.00760680\pi\)
−0.520551 + 0.853831i \(0.674273\pi\)
\(90\) −1959.24 + 256.394i −2.29469 + 0.300293i
\(91\) −40.0474 + 69.3641i −0.0461330 + 0.0799048i
\(92\) −2256.57 + 1893.48i −2.55721 + 2.14575i
\(93\) 1093.88 + 120.229i 1.21968 + 0.134055i
\(94\) −317.419 + 1800.17i −0.348290 + 1.97525i
\(95\) 228.189 1294.13i 0.246439 1.39763i
\(96\) −656.012 1492.47i −0.697437 1.58671i
\(97\) −274.487 + 230.322i −0.287319 + 0.241090i −0.775043 0.631909i \(-0.782272\pi\)
0.487724 + 0.872998i \(0.337827\pi\)
\(98\) 617.161 1068.95i 0.636150 1.10184i
\(99\) 741.695 + 165.033i 0.752961 + 0.167540i
\(100\) −692.101 1198.75i −0.692101 1.19875i
\(101\) 26.9311 + 9.80212i 0.0265321 + 0.00965690i 0.355252 0.934771i \(-0.384395\pi\)
−0.328720 + 0.944427i \(0.606617\pi\)
\(102\) −172.110 179.928i −0.167073 0.174662i
\(103\) −216.998 182.083i −0.207587 0.174186i 0.533067 0.846073i \(-0.321039\pi\)
−0.740653 + 0.671887i \(0.765484\pi\)
\(104\) 424.318 154.439i 0.400075 0.145615i
\(105\) −48.8775 750.180i −0.0454282 0.697239i
\(106\) −93.1355 528.198i −0.0853407 0.483991i
\(107\) −934.375 −0.844201 −0.422100 0.906549i \(-0.638707\pi\)
−0.422100 + 0.906549i \(0.638707\pi\)
\(108\) 1390.76 + 2297.93i 1.23913 + 2.04739i
\(109\) −776.307 −0.682172 −0.341086 0.940032i \(-0.610795\pi\)
−0.341086 + 0.940032i \(0.610795\pi\)
\(110\) 357.632 + 2028.23i 0.309989 + 1.75804i
\(111\) −441.336 + 294.644i −0.377385 + 0.251949i
\(112\) 1445.85 526.247i 1.21982 0.443979i
\(113\) 1001.91 + 840.702i 0.834086 + 0.699881i 0.956225 0.292632i \(-0.0945310\pi\)
−0.122139 + 0.992513i \(0.538975\pi\)
\(114\) −2460.40 + 601.045i −2.02138 + 0.493798i
\(115\) 2030.86 + 739.172i 1.64677 + 0.599376i
\(116\) −1671.13 2894.47i −1.33759 2.31677i
\(117\) −186.308 + 96.8024i −0.147215 + 0.0764905i
\(118\) 1647.85 2854.15i 1.28556 2.22666i
\(119\) 72.5682 60.8919i 0.0559018 0.0469072i
\(120\) −2507.44 + 3416.94i −1.90748 + 2.59936i
\(121\) −93.6013 + 530.839i −0.0703240 + 0.398828i
\(122\) −528.863 + 2999.33i −0.392468 + 2.22579i
\(123\) −136.889 + 186.542i −0.100349 + 0.136747i
\(124\) 3106.09 2606.32i 2.24948 1.88754i
\(125\) 370.123 641.073i 0.264839 0.458714i
\(126\) −1285.75 + 668.052i −0.909075 + 0.472340i
\(127\) 932.325 + 1614.83i 0.651421 + 1.12829i 0.982778 + 0.184789i \(0.0591602\pi\)
−0.331357 + 0.943505i \(0.607506\pi\)
\(128\) 206.324 + 75.0957i 0.142474 + 0.0518562i
\(129\) 67.3680 16.4572i 0.0459800 0.0112324i
\(130\) −435.942 365.799i −0.294113 0.246790i
\(131\) −1181.96 + 430.198i −0.788308 + 0.286921i −0.704633 0.709572i \(-0.748888\pi\)
−0.0836754 + 0.996493i \(0.526666\pi\)
\(132\) 2328.41 1554.49i 1.53532 1.02501i
\(133\) −167.330 948.973i −0.109093 0.618695i
\(134\) 3843.56 2.47786
\(135\) 949.866 1726.62i 0.605567 1.10077i
\(136\) −534.064 −0.336733
\(137\) 152.507 + 864.910i 0.0951062 + 0.539374i 0.994715 + 0.102677i \(0.0327407\pi\)
−0.899609 + 0.436697i \(0.856148\pi\)
\(138\) −270.822 4156.62i −0.167057 2.56402i
\(139\) −783.968 + 285.341i −0.478383 + 0.174117i −0.569946 0.821682i \(-0.693036\pi\)
0.0915630 + 0.995799i \(0.470814\pi\)
\(140\) −2121.88 1780.47i −1.28094 1.07484i
\(141\) −1260.15 1317.39i −0.752650 0.786838i
\(142\) −4670.43 1699.90i −2.76010 1.00459i
\(143\) 109.418 + 189.517i 0.0639859 + 0.110827i
\(144\) 3937.02 + 876.018i 2.27837 + 0.506955i
\(145\) −1226.05 + 2123.58i −0.702194 + 1.21623i
\(146\) 3904.54 3276.30i 2.21330 1.85718i
\(147\) 495.350 + 1126.95i 0.277930 + 0.632309i
\(148\) −339.518 + 1925.50i −0.188569 + 1.06943i
\(149\) 360.811 2046.26i 0.198381 1.12507i −0.709140 0.705068i \(-0.750917\pi\)
0.907521 0.420007i \(-0.137972\pi\)
\(150\) 1945.62 + 213.843i 1.05906 + 0.116401i
\(151\) −2621.46 + 2199.67i −1.41279 + 1.18547i −0.457718 + 0.889097i \(0.651333\pi\)
−0.955072 + 0.296374i \(0.904222\pi\)
\(152\) −2716.27 + 4704.72i −1.44947 + 2.51055i
\(153\) 246.223 32.2218i 0.130104 0.0170260i
\(154\) 755.115 + 1307.90i 0.395122 + 0.684372i
\(155\) −2795.41 1017.45i −1.44860 0.527247i
\(156\) −216.760 + 742.598i −0.111248 + 0.381124i
\(157\) −1137.69 954.638i −0.578330 0.485276i 0.306068 0.952010i \(-0.400986\pi\)
−0.884398 + 0.466733i \(0.845431\pi\)
\(158\) −866.590 + 315.413i −0.436343 + 0.158816i
\(159\) 479.653 + 236.770i 0.239239 + 0.118095i
\(160\) 765.268 + 4340.05i 0.378124 + 2.14445i
\(161\) 1584.79 0.775769
\(162\) −3783.21 336.896i −1.83480 0.163389i
\(163\) −170.439 −0.0819008 −0.0409504 0.999161i \(-0.513039\pi\)
−0.0409504 + 0.999161i \(0.513039\pi\)
\(164\) 148.039 + 839.573i 0.0704874 + 0.399754i
\(165\) −1841.82 909.173i −0.869004 0.428964i
\(166\) 3980.45 1448.77i 1.86110 0.677386i
\(167\) 1252.93 + 1051.33i 0.580565 + 0.487152i 0.885132 0.465339i \(-0.154068\pi\)
−0.304568 + 0.952491i \(0.598512\pi\)
\(168\) −870.830 + 2983.38i −0.399917 + 1.37008i
\(169\) 2007.68 + 730.737i 0.913829 + 0.332607i
\(170\) 336.537 + 582.899i 0.151831 + 0.262978i
\(171\) 968.449 2332.93i 0.433095 1.04330i
\(172\) 127.759 221.285i 0.0566368 0.0980979i
\(173\) −561.615 + 471.251i −0.246814 + 0.207101i −0.757799 0.652488i \(-0.773725\pi\)
0.510985 + 0.859590i \(0.329281\pi\)
\(174\) 4697.84 + 516.339i 2.04679 + 0.224963i
\(175\) −129.314 + 733.378i −0.0558586 + 0.316790i
\(176\) 729.999 4140.03i 0.312646 1.77311i
\(177\) 1322.61 + 3009.01i 0.561656 + 1.27780i
\(178\) −3211.44 + 2694.72i −1.35229 + 1.13471i
\(179\) −610.701 + 1057.77i −0.255005 + 0.441682i −0.964897 0.262629i \(-0.915411\pi\)
0.709892 + 0.704311i \(0.248744\pi\)
\(180\) −2178.03 6926.53i −0.901892 2.86818i
\(181\) −1606.89 2783.22i −0.659886 1.14296i −0.980645 0.195796i \(-0.937271\pi\)
0.320758 0.947161i \(-0.396062\pi\)
\(182\) −392.137 142.726i −0.159709 0.0581295i
\(183\) −2099.58 2194.95i −0.848116 0.886641i
\(184\) −6844.26 5743.01i −2.74220 2.30098i
\(185\) 1347.96 490.618i 0.535698 0.194978i
\(186\) 372.778 + 5721.46i 0.146954 + 2.25547i
\(187\) −44.9445 254.893i −0.0175758 0.0996772i
\(188\) −6717.05 −2.60580
\(189\) 221.487 1427.99i 0.0852425 0.549580i
\(190\) 6846.57 2.61422
\(191\) −84.7425 480.599i −0.0321034 0.182067i 0.964540 0.263938i \(-0.0850216\pi\)
−0.996643 + 0.0818710i \(0.973910\pi\)
\(192\) 1899.80 1268.34i 0.714094 0.476742i
\(193\) 4468.07 1626.24i 1.66642 0.606526i 0.675065 0.737758i \(-0.264115\pi\)
0.991352 + 0.131232i \(0.0418933\pi\)
\(194\) −1430.11 1200.01i −0.529258 0.444100i
\(195\) 551.343 134.687i 0.202474 0.0494621i
\(196\) 4262.16 + 1551.30i 1.55327 + 0.565342i
\(197\) 178.060 + 308.410i 0.0643973 + 0.111539i 0.896426 0.443192i \(-0.146154\pi\)
−0.832029 + 0.554732i \(0.812821\pi\)
\(198\) −175.746 + 3954.92i −0.0630794 + 1.41952i
\(199\) −711.033 + 1231.55i −0.253285 + 0.438703i −0.964428 0.264344i \(-0.914845\pi\)
0.711143 + 0.703047i \(0.248178\pi\)
\(200\) 3216.12 2698.64i 1.13707 0.954114i
\(201\) −2267.84 + 3090.43i −0.795826 + 1.08449i
\(202\) −25.9290 + 147.051i −0.00903148 + 0.0512201i
\(203\) −312.238 + 1770.79i −0.107955 + 0.612242i
\(204\) 541.304 737.647i 0.185779 0.253165i
\(205\) 479.138 402.045i 0.163241 0.136976i
\(206\) 737.937 1278.14i 0.249585 0.432294i
\(207\) 3501.94 + 2234.80i 1.17586 + 0.750384i
\(208\) 580.806 + 1005.99i 0.193614 + 0.335349i
\(209\) −2474.02 900.468i −0.818810 0.298023i
\(210\) 3804.93 929.498i 1.25031 0.305435i
\(211\) 2551.95 + 2141.34i 0.832624 + 0.698654i 0.955892 0.293719i \(-0.0948930\pi\)
−0.123268 + 0.992373i \(0.539337\pi\)
\(212\) 1852.02 674.081i 0.599988 0.218378i
\(213\) 4122.54 2752.28i 1.32616 0.885367i
\(214\) −845.355 4794.25i −0.270034 1.53144i
\(215\) −187.466 −0.0594653
\(216\) −6131.33 + 5364.44i −1.93141 + 1.68983i
\(217\) −2181.41 −0.682413
\(218\) −702.346 3983.20i −0.218206 1.23751i
\(219\) 330.502 + 5072.60i 0.101978 + 1.56518i
\(220\) −7111.60 + 2588.41i −2.17938 + 0.793230i
\(221\) 54.7860 + 45.9709i 0.0166756 + 0.0139925i
\(222\) −1911.10 1997.91i −0.577768 0.604012i
\(223\) 24.9464 + 9.07976i 0.00749119 + 0.00272657i 0.345763 0.938322i \(-0.387620\pi\)
−0.338272 + 0.941048i \(0.609842\pi\)
\(224\) 1615.81 + 2798.67i 0.481968 + 0.834794i
\(225\) −1319.93 + 1438.21i −0.391090 + 0.426136i
\(226\) −3407.16 + 5901.37i −1.00284 + 1.73696i
\(227\) −1339.89 + 1124.30i −0.391769 + 0.328733i −0.817302 0.576210i \(-0.804531\pi\)
0.425533 + 0.904943i \(0.360087\pi\)
\(228\) −3745.04 8520.21i −1.08781 2.47484i
\(229\) 879.549 4988.17i 0.253809 1.43942i −0.545303 0.838239i \(-0.683585\pi\)
0.799112 0.601183i \(-0.205304\pi\)
\(230\) −1955.29 + 11089.0i −0.560558 + 3.17908i
\(231\) −1497.16 164.553i −0.426434 0.0468693i
\(232\) 7765.53 6516.05i 2.19755 1.84397i
\(233\) 1863.46 3227.61i 0.523947 0.907502i −0.475665 0.879627i \(-0.657792\pi\)
0.999611 0.0278757i \(-0.00887427\pi\)
\(234\) −665.248 868.360i −0.185849 0.242592i
\(235\) 2464.04 + 4267.85i 0.683985 + 1.18470i
\(236\) 11380.2 + 4142.04i 3.13892 + 1.14247i
\(237\) 257.710 882.890i 0.0706332 0.241983i
\(238\) 378.089 + 317.254i 0.102974 + 0.0864056i
\(239\) −1196.76 + 435.586i −0.323901 + 0.117890i −0.498853 0.866687i \(-0.666245\pi\)
0.174952 + 0.984577i \(0.444023\pi\)
\(240\) −9776.65 4826.02i −2.62950 1.29799i
\(241\) −1183.07 6709.50i −0.316216 1.79335i −0.565320 0.824872i \(-0.691247\pi\)
0.249104 0.968477i \(-0.419864\pi\)
\(242\) −2808.40 −0.745996
\(243\) 2503.11 2843.12i 0.660801 0.750561i
\(244\) −11191.5 −2.93633
\(245\) −577.849 3277.14i −0.150683 0.854567i
\(246\) −1080.99 533.605i −0.280168 0.138298i
\(247\) 683.615 248.816i 0.176103 0.0640962i
\(248\) 9420.90 + 7905.07i 2.41221 + 2.02408i
\(249\) −1183.72 + 4055.32i −0.301267 + 1.03211i
\(250\) 3624.18 + 1319.09i 0.916854 + 0.333707i
\(251\) −1357.33 2350.96i −0.341329 0.591199i 0.643351 0.765572i \(-0.277544\pi\)
−0.984680 + 0.174372i \(0.944210\pi\)
\(252\) −3237.99 4226.61i −0.809422 1.05655i
\(253\) 2164.99 3749.87i 0.537991 0.931828i
\(254\) −7442.16 + 6244.72i −1.83844 + 1.54263i
\(255\) −667.252 73.3375i −0.163862 0.0180101i
\(256\) −809.345 + 4590.02i −0.197594 + 1.12061i
\(257\) −185.247 + 1050.59i −0.0449626 + 0.254996i −0.999001 0.0446889i \(-0.985770\pi\)
0.954038 + 0.299685i \(0.0968815\pi\)
\(258\) 145.391 + 330.774i 0.0350839 + 0.0798181i
\(259\) 805.792 676.140i 0.193318 0.162213i
\(260\) 1045.59 1811.01i 0.249402 0.431977i
\(261\) −3187.06 + 3472.66i −0.755838 + 0.823571i
\(262\) −3276.69 5675.39i −0.772650 1.33827i
\(263\) −610.224 222.103i −0.143072 0.0520741i 0.269491 0.963003i \(-0.413144\pi\)
−0.412564 + 0.910929i \(0.635367\pi\)
\(264\) 5869.52 + 6136.14i 1.36835 + 1.43050i
\(265\) −1107.68 929.454i −0.256771 0.215456i
\(266\) 4717.76 1717.12i 1.08746 0.395803i
\(267\) −271.834 4172.16i −0.0623071 0.956299i
\(268\) 2452.56 + 13909.2i 0.559007 + 3.17029i
\(269\) 4175.34 0.946376 0.473188 0.880961i \(-0.343103\pi\)
0.473188 + 0.880961i \(0.343103\pi\)
\(270\) 9718.58 + 3311.62i 2.19057 + 0.746439i
\(271\) −3407.60 −0.763826 −0.381913 0.924198i \(-0.624735\pi\)
−0.381913 + 0.924198i \(0.624735\pi\)
\(272\) −238.572 1353.01i −0.0531822 0.301611i
\(273\) 346.134 231.086i 0.0767363 0.0512306i
\(274\) −4299.85 + 1565.02i −0.948041 + 0.345059i
\(275\) 1558.64 + 1307.85i 0.341780 + 0.286787i
\(276\) 14869.3 3632.38i 3.24284 0.792187i
\(277\) −39.1626 14.2540i −0.00849478 0.00309185i 0.337769 0.941229i \(-0.390328\pi\)
−0.346264 + 0.938137i \(0.612550\pi\)
\(278\) −2173.35 3764.36i −0.468881 0.812126i
\(279\) −4820.31 3076.13i −1.03435 0.660083i
\(280\) 4200.64 7275.71i 0.896557 1.55288i
\(281\) −2537.78 + 2129.45i −0.538759 + 0.452072i −0.871113 0.491082i \(-0.836601\pi\)
0.332354 + 0.943155i \(0.392157\pi\)
\(282\) 5619.39 7657.66i 1.18663 1.61705i
\(283\) −155.695 + 882.992i −0.0327036 + 0.185471i −0.996784 0.0801408i \(-0.974463\pi\)
0.964080 + 0.265612i \(0.0855741\pi\)
\(284\) 3171.45 17986.2i 0.662643 3.75804i
\(285\) −4039.72 + 5505.01i −0.839623 + 1.14417i
\(286\) −873.414 + 732.882i −0.180581 + 0.151525i
\(287\) 229.326 397.205i 0.0471662 0.0816943i
\(288\) −376.065 + 8462.83i −0.0769439 + 1.73152i
\(289\) 2414.21 + 4181.53i 0.491392 + 0.851115i
\(290\) −12005.3 4369.57i −2.43095 0.884792i
\(291\) 1808.69 441.841i 0.364355 0.0890074i
\(292\) 14347.8 + 12039.2i 2.87549 + 2.41282i
\(293\) −2143.41 + 780.138i −0.427370 + 0.155550i −0.546745 0.837299i \(-0.684133\pi\)
0.119375 + 0.992849i \(0.461911\pi\)
\(294\) −5334.20 + 3561.21i −1.05815 + 0.706442i
\(295\) −1542.88 8750.12i −0.304509 1.72695i
\(296\) −5930.21 −1.16448
\(297\) −3076.27 2474.86i −0.601022 0.483521i
\(298\) 10825.7 2.10442
\(299\) 207.761 + 1178.27i 0.0401845 + 0.227897i
\(300\) 467.633 + 7177.31i 0.0899961 + 1.38127i
\(301\) −129.177 + 47.0165i −0.0247363 + 0.00900328i
\(302\) −13658.1 11460.5i −2.60244 2.18370i
\(303\) −102.938 107.614i −0.0195169 0.0204034i
\(304\) −13132.4 4779.81i −2.47762 0.901780i
\(305\) 4105.43 + 7110.81i 0.770742 + 1.33496i
\(306\) 388.094 + 1234.21i 0.0725027 + 0.230572i
\(307\) 209.089 362.153i 0.0388709 0.0673263i −0.845935 0.533285i \(-0.820957\pi\)
0.884806 + 0.465959i \(0.154291\pi\)
\(308\) −4251.21 + 3567.19i −0.786478 + 0.659933i
\(309\) 592.288 + 1347.49i 0.109042 + 0.248078i
\(310\) 2691.40 15263.7i 0.493101 2.79651i
\(311\) −368.887 + 2092.06i −0.0672593 + 0.381447i 0.932533 + 0.361084i \(0.117593\pi\)
−0.999793 + 0.0203628i \(0.993518\pi\)
\(312\) −2332.27 256.340i −0.423202 0.0465141i
\(313\) −7874.07 + 6607.13i −1.42194 + 1.19315i −0.471656 + 0.881783i \(0.656344\pi\)
−0.950289 + 0.311371i \(0.899212\pi\)
\(314\) 3868.91 6701.15i 0.695335 1.20436i
\(315\) −1497.68 + 3607.80i −0.267888 + 0.645323i
\(316\) −1694.39 2934.77i −0.301636 0.522448i
\(317\) 10318.9 + 3755.76i 1.82828 + 0.665440i 0.993357 + 0.115073i \(0.0367103\pi\)
0.834923 + 0.550366i \(0.185512\pi\)
\(318\) −780.902 + 2675.29i −0.137707 + 0.471771i
\(319\) 3763.43 + 3157.90i 0.660539 + 0.554258i
\(320\) −5802.50 + 2111.94i −1.01366 + 0.368940i
\(321\) 4353.62 + 2149.07i 0.756996 + 0.373674i
\(322\) 1433.80 + 8131.50i 0.248145 + 1.40730i
\(323\) −860.427 −0.148221
\(324\) −1194.88 13905.7i −0.204884 2.38438i
\(325\) −562.212 −0.0959566
\(326\) −154.201 874.518i −0.0261976 0.148574i
\(327\) 3617.12 + 1785.51i 0.611704 + 0.301954i
\(328\) −2429.80 + 884.376i −0.409035 + 0.148876i
\(329\) 2768.28 + 2322.86i 0.463891 + 0.389250i
\(330\) 2998.59 10272.9i 0.500203 1.71365i
\(331\) 1904.54 + 693.198i 0.316264 + 0.115111i 0.495274 0.868737i \(-0.335068\pi\)
−0.179011 + 0.983847i \(0.557290\pi\)
\(332\) 7782.73 + 13480.1i 1.28655 + 2.22836i
\(333\) 2734.04 357.789i 0.449924 0.0588790i
\(334\) −4260.78 + 7379.89i −0.698022 + 1.20901i
\(335\) 7937.85 6660.65i 1.29460 1.08630i
\(336\) −7947.16 873.472i −1.29034 0.141821i
\(337\) −533.497 + 3025.61i −0.0862357 + 0.489067i 0.910847 + 0.412743i \(0.135429\pi\)
−0.997083 + 0.0763238i \(0.975682\pi\)
\(338\) −1932.98 + 10962.5i −0.311066 + 1.76414i
\(339\) −2734.68 6221.56i −0.438133 0.996781i
\(340\) −1894.67 + 1589.81i −0.302214 + 0.253587i
\(341\) −2980.04 + 5161.58i −0.473249 + 0.819692i
\(342\) 12846.4 + 2858.42i 2.03115 + 0.451946i
\(343\) −2986.55 5172.86i −0.470142 0.814309i
\(344\) 728.259 + 265.064i 0.114143 + 0.0415445i
\(345\) −7762.48 8115.08i −1.21136 1.26638i
\(346\) −2926.08 2455.27i −0.454645 0.381492i
\(347\) −1927.29 + 701.477i −0.298163 + 0.108522i −0.486770 0.873530i \(-0.661825\pi\)
0.188607 + 0.982053i \(0.439603\pi\)
\(348\) 1129.13 + 17330.1i 0.173931 + 2.66951i
\(349\) 1918.28 + 10879.1i 0.294222 + 1.66861i 0.670350 + 0.742046i \(0.266144\pi\)
−0.376128 + 0.926568i \(0.622745\pi\)
\(350\) −3879.93 −0.592546
\(351\) 1090.73 22.5315i 0.165866 0.00342634i
\(352\) 8829.48 1.33697
\(353\) 939.716 + 5329.39i 0.141688 + 0.803555i 0.969967 + 0.243238i \(0.0782097\pi\)
−0.828278 + 0.560317i \(0.810679\pi\)
\(354\) −14242.5 + 9508.58i −2.13837 + 1.42761i
\(355\) −12591.4 + 4582.88i −1.88248 + 0.685166i
\(356\) −11800.9 9902.15i −1.75688 1.47419i
\(357\) −478.176 + 116.813i −0.0708900 + 0.0173176i
\(358\) −5979.88 2176.50i −0.882811 0.321317i
\(359\) −4847.03 8395.31i −0.712581 1.23423i −0.963885 0.266319i \(-0.914193\pi\)
0.251304 0.967908i \(-0.419141\pi\)
\(360\) 19542.2 10153.8i 2.86101 1.48653i
\(361\) −946.669 + 1639.68i −0.138019 + 0.239055i
\(362\) 12826.8 10763.0i 1.86233 1.56268i
\(363\) 1657.06 2258.11i 0.239595 0.326501i
\(364\) 266.279 1510.15i 0.0383430 0.217454i
\(365\) 2386.17 13532.7i 0.342186 1.94063i
\(366\) 9362.66 12758.7i 1.33714 1.82215i
\(367\) 3237.97 2716.98i 0.460546 0.386444i −0.382786 0.923837i \(-0.625035\pi\)
0.843332 + 0.537393i \(0.180591\pi\)
\(368\) 11492.1 19904.8i 1.62790 2.81960i
\(369\) 1066.87 554.327i 0.150512 0.0782035i
\(370\) 3736.88 + 6472.47i 0.525058 + 0.909427i
\(371\) −996.376 362.651i −0.139432 0.0507491i
\(372\) −20467.1 + 4999.85i −2.85260 + 0.696856i
\(373\) −6860.80 5756.89i −0.952383 0.799144i 0.0273146 0.999627i \(-0.491304\pi\)
−0.979697 + 0.200483i \(0.935749\pi\)
\(374\) 1267.19 461.218i 0.175200 0.0637674i
\(375\) −3199.02 + 2135.73i −0.440525 + 0.294102i
\(376\) −3537.75 20063.6i −0.485227 2.75186i
\(377\) −1357.50 −0.185450
\(378\) 7527.33 155.495i 1.02424 0.0211581i
\(379\) 11673.7 1.58216 0.791080 0.611713i \(-0.209519\pi\)
0.791080 + 0.611713i \(0.209519\pi\)
\(380\) 4368.77 + 24776.5i 0.589771 + 3.34476i
\(381\) −629.946 9668.51i −0.0847063 1.30009i
\(382\) 2389.27 869.622i 0.320014 0.116476i
\(383\) 8536.82 + 7163.25i 1.13893 + 0.955678i 0.999403 0.0345397i \(-0.0109965\pi\)
0.139530 + 0.990218i \(0.455441\pi\)
\(384\) −788.624 824.447i −0.104803 0.109563i
\(385\) 3825.99 + 1392.55i 0.506469 + 0.184340i
\(386\) 12386.6 + 21454.2i 1.63332 + 2.82899i
\(387\) −351.746 78.2661i −0.0462022 0.0102803i
\(388\) 3430.06 5941.04i 0.448802 0.777347i
\(389\) 773.936 649.410i 0.100874 0.0846437i −0.590956 0.806704i \(-0.701249\pi\)
0.691830 + 0.722060i \(0.256805\pi\)
\(390\) 1189.89 + 2707.07i 0.154493 + 0.351482i
\(391\) 245.727 1393.59i 0.0317825 0.180247i
\(392\) −2388.87 + 13548.0i −0.307796 + 1.74560i
\(393\) 6496.68 + 714.049i 0.833878 + 0.0916515i
\(394\) −1421.34 + 1192.65i −0.181742 + 0.152499i
\(395\) −1243.12 + 2153.15i −0.158350 + 0.274270i
\(396\) −14424.3 + 1887.63i −1.83042 + 0.239537i
\(397\) −2473.26 4283.81i −0.312668 0.541557i 0.666271 0.745710i \(-0.267889\pi\)
−0.978939 + 0.204153i \(0.934556\pi\)
\(398\) −6962.31 2534.07i −0.876857 0.319150i
\(399\) −1402.99 + 4806.50i −0.176033 + 0.603073i
\(400\) 8273.47 + 6942.26i 1.03418 + 0.867783i
\(401\) −12908.4 + 4698.27i −1.60752 + 0.585089i −0.980947 0.194275i \(-0.937764\pi\)
−0.626571 + 0.779364i \(0.715542\pi\)
\(402\) −17908.7 8840.21i −2.22190 1.09679i
\(403\) −285.977 1621.86i −0.0353487 0.200472i
\(404\) −548.696 −0.0675709
\(405\) −8397.03 + 5860.29i −1.03025 + 0.719013i
\(406\) −9368.36 −1.14518
\(407\) −499.061 2830.32i −0.0607802 0.344702i
\(408\) 2488.42 + 1228.35i 0.301949 + 0.149050i
\(409\) 7172.22 2610.48i 0.867099 0.315598i 0.130107 0.991500i \(-0.458468\pi\)
0.736992 + 0.675902i \(0.236246\pi\)
\(410\) 2496.37 + 2094.70i 0.300700 + 0.252317i
\(411\) 1278.71 4380.72i 0.153465 0.525755i
\(412\) 5096.25 + 1854.88i 0.609403 + 0.221805i
\(413\) −3257.69 5642.48i −0.388136 0.672272i
\(414\) −8298.38 + 19990.2i −0.985129 + 2.37311i
\(415\) 5709.95 9889.92i 0.675398 1.16982i
\(416\) −1868.95 + 1568.24i −0.220271 + 0.184830i
\(417\) 4309.10 + 473.613i 0.506037 + 0.0556185i
\(418\) 2381.96 13508.8i 0.278721 1.58071i
\(419\) 1580.39 8962.85i 0.184265 1.04502i −0.742630 0.669702i \(-0.766422\pi\)
0.926896 0.375319i \(-0.122467\pi\)
\(420\) 5791.59 + 13176.2i 0.672859 + 1.53080i
\(421\) −3026.66 + 2539.67i −0.350381 + 0.294004i −0.800943 0.598741i \(-0.795668\pi\)
0.450562 + 0.892745i \(0.351224\pi\)
\(422\) −8678.33 + 15031.3i −1.00108 + 1.73392i
\(423\) 2841.53 + 9036.58i 0.326619 + 1.03871i
\(424\) 2988.88 + 5176.89i 0.342342 + 0.592953i
\(425\) 624.848 + 227.426i 0.0713166 + 0.0259571i
\(426\) 17851.6 + 18662.5i 2.03032 + 2.12254i
\(427\) 4612.32 + 3870.20i 0.522731 + 0.438623i
\(428\) 16810.1 6118.38i 1.89847 0.690988i
\(429\) −73.9306 1134.70i −0.00832029 0.127701i
\(430\) −169.605 961.880i −0.0190212 0.107874i
\(431\) −8689.98 −0.971187 −0.485594 0.874185i \(-0.661397\pi\)
−0.485594 + 0.874185i \(0.661397\pi\)
\(432\) −16329.3 13136.9i −1.81862 1.46308i
\(433\) −466.281 −0.0517507 −0.0258753 0.999665i \(-0.508237\pi\)
−0.0258753 + 0.999665i \(0.508237\pi\)
\(434\) −1973.58 11192.7i −0.218283 1.23795i
\(435\) 10596.9 7074.70i 1.16801 0.779783i
\(436\) 13966.3 5083.33i 1.53410 0.558366i
\(437\) −11026.7 9252.53i −1.20705 1.01283i
\(438\) −25728.3 + 6285.11i −2.80673 + 0.685649i
\(439\) −3386.08 1232.43i −0.368129 0.133988i 0.151330 0.988483i \(-0.451644\pi\)
−0.519459 + 0.854495i \(0.673867\pi\)
\(440\) −11477.0 19878.8i −1.24351 2.15383i
\(441\) 283.964 6390.22i 0.0306624 0.690014i
\(442\) −186.309 + 322.696i −0.0200493 + 0.0347265i
\(443\) −592.851 + 497.461i −0.0635828 + 0.0533523i −0.674025 0.738708i \(-0.735436\pi\)
0.610442 + 0.792061i \(0.290992\pi\)
\(444\) 6010.61 8190.78i 0.642457 0.875489i
\(445\) −1962.60 + 11130.5i −0.209070 + 1.18570i
\(446\) −24.0182 + 136.214i −0.00254999 + 0.0144617i
\(447\) −6387.56 + 8704.46i −0.675887 + 0.921045i
\(448\) −3468.65 + 2910.54i −0.365800 + 0.306943i
\(449\) 4055.26 7023.92i 0.426235 0.738261i −0.570300 0.821437i \(-0.693173\pi\)
0.996535 + 0.0831759i \(0.0265063\pi\)
\(450\) −8573.58 5471.32i −0.898139 0.573157i
\(451\) −626.568 1085.25i −0.0654190 0.113309i
\(452\) −23530.1 8564.26i −2.44859 0.891214i
\(453\) 17273.7 4219.75i 1.79158 0.437662i
\(454\) −6980.98 5857.73i −0.721660 0.605544i
\(455\) −1057.19 + 384.786i −0.108927 + 0.0396462i
\(456\) 23477.1 15673.7i 2.41100 1.60963i
\(457\) 1689.39 + 9580.99i 0.172924 + 0.980700i 0.940513 + 0.339758i \(0.110345\pi\)
−0.767589 + 0.640942i \(0.778544\pi\)
\(458\) 26389.9 2.69240
\(459\) −1221.36 416.180i −0.124201 0.0423216i
\(460\) −41376.9 −4.19393
\(461\) 2113.75 + 11987.7i 0.213552 + 1.21111i 0.883402 + 0.468615i \(0.155247\pi\)
−0.669851 + 0.742496i \(0.733642\pi\)
\(462\) −510.210 7830.78i −0.0513790 0.788573i
\(463\) −15186.9 + 5527.57i −1.52439 + 0.554834i −0.962241 0.272199i \(-0.912249\pi\)
−0.562153 + 0.827033i \(0.690027\pi\)
\(464\) 19976.8 + 16762.6i 1.99871 + 1.67712i
\(465\) 10684.8 + 11170.1i 1.06558 + 1.11399i
\(466\) 18246.7 + 6641.26i 1.81387 + 0.660194i
\(467\) −708.341 1226.88i −0.0701887 0.121570i 0.828795 0.559552i \(-0.189027\pi\)
−0.898984 + 0.437982i \(0.855693\pi\)
\(468\) 2717.95 2961.51i 0.268456 0.292512i
\(469\) 3799.24 6580.47i 0.374056 0.647885i
\(470\) −19668.9 + 16504.2i −1.93034 + 1.61975i
\(471\) 3105.29 + 7064.74i 0.303788 + 0.691138i
\(472\) −6378.39 + 36173.6i −0.622011 + 3.52760i
\(473\) −65.2204 + 369.883i −0.00634004 + 0.0359561i
\(474\) 4763.24 + 523.527i 0.461567 + 0.0507308i
\(475\) 5181.46 4347.76i 0.500509 0.419977i
\(476\) −906.829 + 1570.67i −0.0873203 + 0.151243i
\(477\) −1690.32 2206.41i −0.162253 0.211791i
\(478\) −3317.73 5746.47i −0.317467 0.549869i
\(479\) 8263.76 + 3007.76i 0.788269 + 0.286906i 0.704616 0.709589i \(-0.251119\pi\)
0.0836525 + 0.996495i \(0.473341\pi\)
\(480\) 6416.45 21982.1i 0.610145 2.09030i
\(481\) 608.340 + 510.458i 0.0576672 + 0.0483885i
\(482\) 33355.9 12140.5i 3.15211 1.14728i
\(483\) −7384.16 3645.02i −0.695633 0.343383i
\(484\) −1792.03 10163.1i −0.168297 0.954462i
\(485\) −5033.06 −0.471215
\(486\) 16852.6 + 10271.1i 1.57294 + 0.958658i
\(487\) 15649.1 1.45612 0.728059 0.685514i \(-0.240423\pi\)
0.728059 + 0.685514i \(0.240423\pi\)
\(488\) −5894.37 33428.6i −0.546774 3.10091i
\(489\) 794.144 + 392.011i 0.0734405 + 0.0362522i
\(490\) 16292.1 5929.84i 1.50205 0.546700i
\(491\) 6074.50 + 5097.11i 0.558326 + 0.468491i 0.877749 0.479121i \(-0.159044\pi\)
−0.319423 + 0.947612i \(0.603489\pi\)
\(492\) 1241.25 4252.40i 0.113739 0.389660i
\(493\) 1508.74 + 549.135i 0.137830 + 0.0501659i
\(494\) 1895.15 + 3282.50i 0.172605 + 0.298960i
\(495\) 6490.68 + 8472.40i 0.589362 + 0.769305i
\(496\) −15818.5 + 27398.4i −1.43200 + 2.48029i
\(497\) −7526.93 + 6315.85i −0.679334 + 0.570029i
\(498\) −21878.7 2404.68i −1.96869 0.216378i
\(499\) −1554.53 + 8816.20i −0.139460 + 0.790917i 0.832190 + 0.554491i \(0.187087\pi\)
−0.971650 + 0.236426i \(0.924024\pi\)
\(500\) −2460.99 + 13957.0i −0.220118 + 1.24835i
\(501\) −3419.81 7780.29i −0.304962 0.693808i
\(502\) 10834.7 9091.37i 0.963297 0.808302i
\(503\) −1203.74 + 2084.94i −0.106704 + 0.184817i −0.914433 0.404737i \(-0.867363\pi\)
0.807729 + 0.589554i \(0.200696\pi\)
\(504\) 10919.3 11897.8i 0.965051 1.05153i
\(505\) 201.280 + 348.628i 0.0177364 + 0.0307203i
\(506\) 21199.2 + 7715.87i 1.86249 + 0.677890i
\(507\) −7673.89 8022.47i −0.672208 0.702743i
\(508\) −27347.3 22947.1i −2.38847 2.00416i
\(509\) −15330.5 + 5579.84i −1.33499 + 0.485898i −0.908232 0.418467i \(-0.862568\pi\)
−0.426761 + 0.904364i \(0.640345\pi\)
\(510\) −227.389 3490.00i −0.0197430 0.303019i
\(511\) −1749.76 9923.39i −0.151477 0.859070i
\(512\) −22527.0 −1.94446
\(513\) −9878.14 + 8642.61i −0.850157 + 0.743821i
\(514\) −5558.13 −0.476963
\(515\) −690.931 3918.47i −0.0591186 0.335278i
\(516\) −1104.24 + 737.209i −0.0942080 + 0.0628950i
\(517\) 9278.03 3376.93i 0.789260 0.287267i
\(518\) 4198.27 + 3522.77i 0.356103 + 0.298806i
\(519\) 3700.67 904.028i 0.312989 0.0764594i
\(520\) 5960.11 + 2169.30i 0.502631 + 0.182943i
\(521\) −663.090 1148.51i −0.0557591 0.0965776i 0.836799 0.547511i \(-0.184425\pi\)
−0.892558 + 0.450933i \(0.851091\pi\)
\(522\) −20701.5 13210.9i −1.73579 1.10771i
\(523\) −6244.91 + 10816.5i −0.522124 + 0.904346i 0.477545 + 0.878608i \(0.341527\pi\)
−0.999669 + 0.0257380i \(0.991806\pi\)
\(524\) 18447.4 15479.2i 1.53793 1.29048i
\(525\) 2289.30 3119.68i 0.190311 0.259341i
\(526\) 587.518 3331.98i 0.0487016 0.276200i
\(527\) −338.235 + 1918.23i −0.0279578 + 0.158557i
\(528\) −12923.4 + 17611.0i −1.06519 + 1.45156i
\(529\) 8814.46 7396.21i 0.724457 0.607891i
\(530\) 3766.85 6524.37i 0.308720 0.534718i
\(531\) 758.197 17062.2i 0.0619641 1.39442i
\(532\) 9224.35 + 15977.0i 0.751741 + 1.30205i
\(533\) 325.382 + 118.429i 0.0264425 + 0.00962428i
\(534\) 21161.3 5169.44i 1.71486 0.418921i
\(535\) −10054.0 8436.30i −0.812471 0.681744i
\(536\) −40254.4 + 14651.4i −3.24389 + 1.18068i
\(537\) 5278.37 3523.93i 0.424168 0.283183i
\(538\) 3777.55 + 21423.5i 0.302717 + 1.71679i
\(539\) −6667.08 −0.532785
\(540\) −5782.76 + 37282.9i −0.460834 + 2.97111i
\(541\) −952.104 −0.0756639 −0.0378319 0.999284i \(-0.512045\pi\)
−0.0378319 + 0.999284i \(0.512045\pi\)
\(542\) −3082.95 17484.3i −0.244325 1.38564i
\(543\) 1085.73 + 16664.0i 0.0858071 + 1.31698i
\(544\) 2711.55 986.925i 0.213707 0.0777832i
\(545\) −8353.16 7009.13i −0.656532 0.550896i
\(546\) 1498.85 + 1566.93i 0.117481 + 0.122818i
\(547\) −20935.7 7619.95i −1.63646 0.595623i −0.650045 0.759895i \(-0.725250\pi\)
−0.986415 + 0.164273i \(0.947472\pi\)
\(548\) −8407.22 14561.7i −0.655363 1.13512i
\(549\) 4734.37 + 15056.2i 0.368048 + 1.17046i
\(550\) −5300.40 + 9180.57i −0.410927 + 0.711747i
\(551\) 12511.0 10498.0i 0.967307 0.811667i
\(552\) 18681.2 + 42500.8i 1.44044 + 3.27709i
\(553\) −316.585 + 1795.44i −0.0243446 + 0.138065i
\(554\) 37.7054 213.838i 0.00289161 0.0163991i
\(555\) −7409.11 814.335i −0.566666 0.0622821i
\(556\) 12235.7 10267.0i 0.933292 0.783125i
\(557\) 593.031 1027.16i 0.0451123 0.0781368i −0.842588 0.538559i \(-0.818969\pi\)
0.887700 + 0.460423i \(0.152302\pi\)
\(558\) 11422.5 27515.9i 0.866579 2.08753i
\(559\) −51.8910 89.8779i −0.00392622 0.00680041i
\(560\) 20308.9 + 7391.84i 1.53251 + 0.557790i
\(561\) −376.841 + 1291.02i −0.0283605 + 0.0971603i
\(562\) −13222.1 11094.7i −0.992424 0.832742i
\(563\) −8233.42 + 2996.72i −0.616337 + 0.224328i −0.631274 0.775560i \(-0.717467\pi\)
0.0149370 + 0.999888i \(0.495245\pi\)
\(564\) 31297.4 + 15449.2i 2.33663 + 1.15342i
\(565\) 3190.13 + 18092.1i 0.237539 + 1.34715i
\(566\) −4671.46 −0.346919
\(567\) −4316.37 + 6144.13i −0.319701 + 0.455078i
\(568\) 55394.3 4.09207
\(569\) −3624.70 20556.7i −0.267057 1.51455i −0.763114 0.646264i \(-0.776330\pi\)
0.496057 0.868290i \(-0.334781\pi\)
\(570\) −31900.9 15747.1i −2.34418 1.15715i
\(571\) 2011.89 732.266i 0.147451 0.0536679i −0.267240 0.963630i \(-0.586112\pi\)
0.414692 + 0.909962i \(0.363889\pi\)
\(572\) −3209.49 2693.08i −0.234607 0.196859i
\(573\) −710.530 + 2434.21i −0.0518025 + 0.177470i
\(574\) 2245.52 + 817.304i 0.163286 + 0.0594313i
\(575\) 5562.08 + 9633.80i 0.403400 + 0.698709i
\(576\) −11769.1 + 1540.15i −0.851352 + 0.111412i
\(577\) −6084.38 + 10538.5i −0.438988 + 0.760350i −0.997612 0.0690715i \(-0.977996\pi\)
0.558624 + 0.829421i \(0.311330\pi\)
\(578\) −19271.1 + 16170.4i −1.38680 + 1.16366i
\(579\) −24558.9 2699.26i −1.76275 0.193743i
\(580\) 8152.15 46233.2i 0.583620 3.30988i
\(581\) 1454.15 8246.90i 0.103835 0.588879i
\(582\) 3903.44 + 8880.58i 0.278012 + 0.632494i
\(583\) −2219.25 + 1862.17i −0.157653 + 0.132287i
\(584\) −28404.0 + 49197.2i −2.01261 + 3.48595i
\(585\) −2878.71 640.535i −0.203453 0.0452698i
\(586\) −5942.07 10292.0i −0.418881 0.725524i
\(587\) 6654.84 + 2422.16i 0.467930 + 0.170312i 0.565214 0.824944i \(-0.308794\pi\)
−0.0972847 + 0.995257i \(0.531016\pi\)
\(588\) −16291.1 17031.1i −1.14257 1.19447i
\(589\) 15177.9 + 12735.8i 1.06179 + 0.890950i
\(590\) 43500.7 15832.9i 3.03541 1.10480i
\(591\) −120.310 1846.54i −0.00837378 0.128522i
\(592\) −2649.09 15023.7i −0.183914 1.04303i
\(593\) 12714.8 0.880498 0.440249 0.897876i \(-0.354890\pi\)
0.440249 + 0.897876i \(0.354890\pi\)
\(594\) 9915.21 18023.3i 0.684892 1.24496i
\(595\) 1330.62 0.0916811
\(596\) 6907.85 + 39176.3i 0.474759 + 2.69249i
\(597\) 6145.55 4102.88i 0.421307 0.281272i
\(598\) −5857.72 + 2132.03i −0.400568 + 0.145795i
\(599\) 15146.2 + 12709.2i 1.03315 + 0.866916i 0.991222 0.132205i \(-0.0422056\pi\)
0.0419278 + 0.999121i \(0.486650\pi\)
\(600\) −21192.1 + 5176.96i −1.44194 + 0.352248i
\(601\) −17664.7 6429.42i −1.19893 0.436375i −0.336080 0.941834i \(-0.609101\pi\)
−0.862851 + 0.505459i \(0.831323\pi\)
\(602\) −358.110 620.265i −0.0242450 0.0419935i
\(603\) 17674.8 9183.50i 1.19365 0.620201i
\(604\) 32758.4 56739.2i 2.20682 3.82233i
\(605\) −5800.01 + 4866.79i −0.389759 + 0.327046i
\(606\) 459.031 625.531i 0.0307704 0.0419315i
\(607\) 1337.17 7583.44i 0.0894133 0.507088i −0.906903 0.421339i \(-0.861560\pi\)
0.996317 0.0857495i \(-0.0273285\pi\)
\(608\) 5096.98 28906.4i 0.339983 1.92814i
\(609\) 5527.67 7532.67i 0.367804 0.501214i
\(610\) −32771.1 + 27498.2i −2.17518 + 1.82519i
\(611\) −1364.11 + 2362.71i −0.0903207 + 0.156440i
\(612\) −4218.74 + 2191.99i −0.278648 + 0.144781i
\(613\) −4893.21 8475.28i −0.322406 0.558423i 0.658578 0.752512i \(-0.271158\pi\)
−0.980984 + 0.194089i \(0.937825\pi\)
\(614\) 2047.37 + 745.180i 0.134568 + 0.0489789i
\(615\) −3157.20 + 771.266i −0.207009 + 0.0505698i
\(616\) −12894.1 10819.4i −0.843373 0.707674i
\(617\) 20934.3 7619.47i 1.36594 0.497161i 0.448053 0.894007i \(-0.352117\pi\)
0.917885 + 0.396846i \(0.129895\pi\)
\(618\) −6378.08 + 4258.12i −0.415152 + 0.277163i
\(619\) 2272.40 + 12887.4i 0.147554 + 0.836818i 0.965281 + 0.261213i \(0.0841223\pi\)
−0.817728 + 0.575605i \(0.804767\pi\)
\(620\) 56953.9 3.68923
\(621\) −11176.9 18467.3i −0.722244 1.19335i
\(622\) −11068.0 −0.713486
\(623\) 1439.16 + 8161.88i 0.0925501 + 0.524878i
\(624\) −392.434 6023.14i −0.0251762 0.386408i
\(625\) 18263.1 6647.24i 1.16884 0.425423i
\(626\) −41024.8 34423.9i −2.61930 2.19785i
\(627\) 9456.34 + 9885.89i 0.602313 + 0.629672i
\(628\) 26719.0 + 9724.92i 1.69778 + 0.617941i
\(629\) −469.624 813.413i −0.0297697 0.0515627i
\(630\) −19866.5 4420.45i −1.25635 0.279548i
\(631\) 2430.50 4209.75i 0.153339 0.265590i −0.779114 0.626882i \(-0.784331\pi\)
0.932453 + 0.361292i \(0.117664\pi\)
\(632\) 7873.64 6606.77i 0.495564 0.415828i
\(633\) −6965.46 15846.9i −0.437365 0.995034i
\(634\) −9934.91 + 56343.7i −0.622343 + 3.52948i
\(635\) −4548.11 + 25793.6i −0.284230 + 1.61195i
\(636\) −10179.7 1118.85i −0.634672 0.0697567i
\(637\) 1411.23 1184.16i 0.0877787 0.0736551i
\(638\) −12798.2 + 22167.1i −0.794177 + 1.37555i
\(639\) −25538.8 + 3342.12i −1.58106 + 0.206905i
\(640\) 1542.04 + 2670.90i 0.0952416 + 0.164963i
\(641\) −17114.5 6229.18i −1.05458 0.383834i −0.244188 0.969728i \(-0.578521\pi\)
−0.810388 + 0.585894i \(0.800744\pi\)
\(642\) −7087.95 + 24282.6i −0.435730 + 1.49277i
\(643\) −3185.24 2672.73i −0.195355 0.163923i 0.539863 0.841753i \(-0.318476\pi\)
−0.735218 + 0.677830i \(0.762920\pi\)
\(644\) −28511.5 + 10377.3i −1.74458 + 0.634976i
\(645\) 873.477 + 431.172i 0.0533226 + 0.0263215i
\(646\) −778.452 4414.82i −0.0474114 0.268884i
\(647\) 20866.7 1.26793 0.633967 0.773360i \(-0.281426\pi\)
0.633967 + 0.773360i \(0.281426\pi\)
\(648\) 40906.5 10893.0i 2.47988 0.660364i
\(649\) −17801.4 −1.07668
\(650\) −508.649 2884.69i −0.0306936 0.174072i
\(651\) 10164.1 + 5017.25i 0.611921 + 0.302061i
\(652\) 3066.33 1116.05i 0.184182 0.0670368i
\(653\) 7895.77 + 6625.34i 0.473178 + 0.397044i 0.847952 0.530073i \(-0.177835\pi\)
−0.374774 + 0.927116i \(0.622280\pi\)
\(654\) −5888.88 + 20174.7i −0.352100 + 1.20626i
\(655\) −16602.2 6042.71i −0.990385 0.360471i
\(656\) −3325.91 5760.65i −0.197950 0.342859i
\(657\) 10127.1 24395.4i 0.601361 1.44864i
\(658\) −9413.98 + 16305.5i −0.557743 + 0.966040i
\(659\) 16184.5 13580.4i 0.956691 0.802759i −0.0237207 0.999719i \(-0.507551\pi\)
0.980412 + 0.196960i \(0.0631068\pi\)
\(660\) 39089.1 + 4296.28i 2.30537 + 0.253382i
\(661\) 3063.45 17373.7i 0.180264 1.02233i −0.751627 0.659588i \(-0.770731\pi\)
0.931891 0.362739i \(-0.118158\pi\)
\(662\) −1833.68 + 10399.3i −0.107656 + 0.610545i
\(663\) −149.536 340.205i −0.00875945 0.0199283i
\(664\) −36165.5 + 30346.4i −2.11369 + 1.77360i
\(665\) 6767.61 11721.9i 0.394642 0.683540i
\(666\) 4309.36 + 13704.6i 0.250727 + 0.797360i
\(667\) 13430.0 + 23261.5i 0.779629 + 1.35036i
\(668\) −29425.3 10709.9i −1.70434 0.620328i
\(669\) −95.3518 99.6831i −0.00551048 0.00576079i
\(670\) 41357.2 + 34702.8i 2.38473 + 2.00102i
\(671\) 15458.5 5626.42i 0.889370 0.323704i
\(672\) −1091.76 16756.5i −0.0626718 0.961897i
\(673\) −1387.28 7867.66i −0.0794588 0.450633i −0.998415 0.0562744i \(-0.982078\pi\)
0.918957 0.394359i \(-0.129033\pi\)
\(674\) −16007.0 −0.914787
\(675\) 9457.96 3665.35i 0.539314 0.209007i
\(676\) −40904.7 −2.32730
\(677\) 4095.58 + 23227.2i 0.232505 + 1.31860i 0.847805 + 0.530308i \(0.177924\pi\)
−0.615300 + 0.788293i \(0.710965\pi\)
\(678\) 29448.5 19660.3i 1.66809 1.11364i
\(679\) −3468.12 + 1262.29i −0.196015 + 0.0713437i
\(680\) −5746.60 4821.97i −0.324076 0.271932i
\(681\) 8828.96 2156.81i 0.496808 0.121364i
\(682\) −29180.0 10620.6i −1.63836 0.596313i
\(683\) 5535.91 + 9588.48i 0.310140 + 0.537179i 0.978393 0.206756i \(-0.0662906\pi\)
−0.668252 + 0.743935i \(0.732957\pi\)
\(684\) −2146.88 + 48312.6i −0.120012 + 2.70070i
\(685\) −6168.11 + 10683.5i −0.344046 + 0.595905i
\(686\) 23839.7 20003.9i 1.32683 1.11334i
\(687\) −15571.0 + 21218.9i −0.864731 + 1.17839i
\(688\) −346.199 + 1963.39i −0.0191842 + 0.108799i
\(689\) 139.005 788.338i 0.00768604 0.0435897i
\(690\) 34615.3 47171.0i 1.90983 2.60256i
\(691\) 19995.6 16778.3i 1.10082 0.923699i 0.103342 0.994646i \(-0.467046\pi\)
0.997480 + 0.0709466i \(0.0226020\pi\)
\(692\) 7018.07 12155.7i 0.385531 0.667759i
\(693\) 6597.41 + 4210.20i 0.361638 + 0.230783i
\(694\) −5342.93 9254.22i −0.292240 0.506175i
\(695\) −11011.9 4007.99i −0.601013 0.218751i
\(696\) −51169.6 + 12500.1i −2.78675 + 0.680770i
\(697\) −313.725 263.247i −0.0170491 0.0143059i
\(698\) −54084.9 + 19685.3i −2.93287 + 1.06748i
\(699\) −16106.1 + 10752.8i −0.871517 + 0.581841i
\(700\) −2475.77 14040.8i −0.133679 0.758131i
\(701\) 18219.9 0.981678 0.490839 0.871250i \(-0.336690\pi\)
0.490839 + 0.871250i \(0.336690\pi\)
\(702\) 1102.42 + 5576.11i 0.0592710 + 0.299796i
\(703\) −9554.12 −0.512575
\(704\) 2148.28 + 12183.5i 0.115009 + 0.652249i
\(705\) −1664.88 25552.9i −0.0889407 1.36508i
\(706\) −26494.8 + 9643.30i −1.41238 + 0.514066i
\(707\) 226.132 + 189.747i 0.0120291 + 0.0100936i
\(708\) −43498.0 45473.8i −2.30897 2.41386i
\(709\) 19001.5 + 6915.98i 1.00651 + 0.366340i 0.792092 0.610401i \(-0.208992\pi\)
0.214419 + 0.976742i \(0.431214\pi\)
\(710\) −34906.4 60459.6i −1.84509 3.19579i
\(711\) −3231.43 + 3521.00i −0.170447 + 0.185721i
\(712\) 23362.0 40464.2i 1.22967 2.12986i
\(713\) −24962.1 + 20945.7i −1.31114 + 1.10017i
\(714\) −1031.98 2347.82i −0.0540909 0.123060i
\(715\) −533.767 + 3027.14i −0.0279186 + 0.158334i
\(716\) 4060.62 23028.9i 0.211945 1.20200i
\(717\) 6578.05 + 722.993i 0.342624 + 0.0376578i
\(718\) 38690.8 32465.4i 2.01104 1.68746i
\(719\) 8055.41 13952.4i 0.417825 0.723694i −0.577896 0.816111i \(-0.696126\pi\)
0.995720 + 0.0924168i \(0.0294592\pi\)
\(720\) 34453.4 + 44972.7i 1.78334 + 2.32782i
\(721\) −1458.85 2526.81i −0.0753545 0.130518i
\(722\) −9269.62 3373.86i −0.477811 0.173909i
\(723\) −9919.51 + 33983.3i −0.510250 + 1.74807i
\(724\) 47134.0 + 39550.1i 2.41950 + 2.03021i
\(725\) −11860.4 + 4316.82i −0.607562 + 0.221135i
\(726\) 13085.5 + 6459.34i 0.668935 + 0.330205i
\(727\) −4290.68 24333.7i −0.218889 1.24138i −0.874029 0.485875i \(-0.838501\pi\)
0.655139 0.755508i \(-0.272610\pi\)
\(728\) 4650.99 0.236782
\(729\) −18202.2 + 7490.07i −0.924767 + 0.380535i
\(730\) 71594.4 3.62990
\(731\) 21.3148 + 120.882i 0.00107846 + 0.00611626i
\(732\) 52145.7 + 25740.5i 2.63301 + 1.29972i
\(733\) −20250.8 + 7370.68i −1.02044 + 0.371408i −0.797432 0.603409i \(-0.793809\pi\)
−0.223004 + 0.974817i \(0.571586\pi\)
\(734\) 16870.2 + 14155.8i 0.848352 + 0.711852i
\(735\) −4845.02 + 16598.6i −0.243144 + 0.832989i
\(736\) 45362.5 + 16510.6i 2.27185 + 0.826887i
\(737\) −10380.3 17979.2i −0.518811 0.898608i
\(738\) 3809.46 + 4972.56i 0.190011 + 0.248025i
\(739\) 5521.39 9563.33i 0.274841 0.476039i −0.695254 0.718764i \(-0.744708\pi\)
0.970095 + 0.242725i \(0.0780414\pi\)
\(740\) −21038.2 + 17653.2i −1.04511 + 0.876951i
\(741\) −3757.51 412.988i −0.186283 0.0204743i
\(742\) 959.302 5440.47i 0.0474624 0.269173i
\(743\) 2058.94 11676.8i 0.101662 0.576556i −0.890839 0.454320i \(-0.849882\pi\)
0.992501 0.122236i \(-0.0390065\pi\)
\(744\) −25714.0 58501.0i −1.26710 2.88273i
\(745\) 22357.7 18760.3i 1.09949 0.922583i
\(746\) 23331.3 40411.0i 1.14507 1.98331i
\(747\) 14842.7 16172.8i 0.726996 0.792144i
\(748\) 2477.65 + 4291.42i 0.121112 + 0.209772i
\(749\) −9043.73 3291.65i −0.441189 0.160580i
\(750\) −13852.6 14481.8i −0.674433 0.705069i
\(751\) −6621.63 5556.21i −0.321740 0.269972i 0.467584 0.883949i \(-0.345124\pi\)
−0.789324 + 0.613977i \(0.789569\pi\)
\(752\) 49249.1 17925.2i 2.38820 0.869235i
\(753\) 917.106 + 14075.9i 0.0443841 + 0.681214i
\(754\) −1228.17 6965.28i −0.0593199 0.336420i
\(755\) −48067.6 −2.31703
\(756\) 5365.86 + 27140.8i 0.258141 + 1.30569i
\(757\) −16230.3 −0.779262 −0.389631 0.920971i \(-0.627397\pi\)
−0.389631 + 0.920971i \(0.627397\pi\)
\(758\) 10561.5 + 59897.4i 0.506085 + 2.87015i
\(759\) −18712.3 + 12492.7i −0.894878 + 0.597437i
\(760\) −71705.5 + 26098.7i −3.42241 + 1.24566i
\(761\) 12775.6 + 10720.0i 0.608561