Properties

Label 27.4.e.a.25.8
Level 27
Weight 4
Character 27.25
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 25.8
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.8

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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 −0.223645 0.974671i \(-0.571796\pi\)
0.543514 0.839400i \(-0.317093\pi\)
\(3\) −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 −0.0189297 0.999821i \(-0.506026\pi\)
0.981344 + 0.192259i \(0.0615814\pi\)
\(6\) 7.58576 + 25.9881i 0.516146 + 1.76827i
\(7\) 9.67890 3.52283i 0.522612 0.190215i −0.0672248 0.997738i \(-0.521414\pi\)
0.589836 + 0.807523i \(0.299192\pi\)
\(8\) −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 0.888509 0.458860i \(-0.151742\pi\)
−0.297601 + 0.954690i \(0.596186\pi\)
\(12\) 98.8867 10.8686i 2.37884 0.261458i
\(13\) −1.35031 7.65800i −0.0288084 0.163381i 0.967010 0.254740i \(-0.0819899\pi\)
−0.995818 + 0.0913595i \(0.970879\pi\)
\(14\) −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 0.896963 0.442106i \(-0.145768\pi\)
−0.831356 + 0.555740i \(0.812435\pi\)
\(18\) −95.1178 103.642i −1.24553 1.35714i
\(19\) −46.7770 + 81.0201i −0.564809 + 0.978278i 0.432258 + 0.901750i \(0.357717\pi\)
−0.997067 + 0.0765282i \(0.975616\pi\)
\(20\) −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 0.900488 0.434881i \(-0.143210\pi\)
0.410278 + 0.911961i \(0.365432\pi\)
\(24\) 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 −0.719569 0.694420i \(-0.755661\pi\)
0.913680 0.406435i \(-0.133228\pi\)
\(30\) 316.265 + 211.145i 1.92473 + 1.28498i
\(31\) −199.014 72.4350i −1.15303 0.419668i −0.306427 0.951894i \(-0.599133\pi\)
−0.846602 + 0.532226i \(0.821356\pi\)
\(32\) 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 0.956882 0.290478i \(-0.0938142\pi\)
−0.730002 + 0.683445i \(0.760481\pi\)
\(38\) 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 0.995987 0.0895028i \(-0.0285278\pi\)
−0.966533 + 0.256542i \(0.917417\pi\)
\(42\) 164.974 + 224.813i 0.606094 + 0.825937i
\(43\) −10.2238 8.57879i −0.0362585 0.0304245i 0.624478 0.781042i \(-0.285312\pi\)
−0.660737 + 0.750618i \(0.729756\pi\)
\(44\) −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 0.224703 0.974427i \(-0.427859\pi\)
0.798482 + 0.602019i \(0.205637\pi\)
\(48\) −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 −0.994983 0.100041i \(-0.968103\pi\)
−0.0742564 + 0.997239i \(0.523658\pi\)
\(60\) 965.902 1009.78i 2.07829 2.17269i
\(61\) 549.302 199.930i 1.15297 0.419645i 0.306386 0.951907i \(-0.400880\pi\)
0.846580 + 0.532262i \(0.178658\pi\)
\(62\) −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 0.845574 + 0.533858i \(0.179258\pi\)
−0.611990 + 0.790866i \(0.709631\pi\)
\(68\) −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 −0.921387 0.388647i \(-0.872943\pi\)
0.124115 0.992268i \(-0.460391\pi\)
\(72\) 601.113 + 1448.04i 0.983915 + 2.37019i
\(73\) −489.146 + 847.225i −0.784249 + 1.35836i 0.145198 + 0.989403i \(0.453618\pi\)
−0.929447 + 0.368956i \(0.879715\pi\)
\(74\) 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 −0.955067 0.296389i \(-0.904218\pi\)
0.998841 + 0.0481379i \(0.0153287\pi\)
\(80\) 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 0.737044 + 0.675845i \(0.236221\pi\)
−0.923747 + 0.383002i \(0.874890\pi\)
\(84\) 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 −0.520551 0.853831i \(-0.674273\pi\)
0.999714 + 0.0238952i \(0.00760680\pi\)
\(90\) −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 0.487724 0.872998i \(-0.337827\pi\)
−0.775043 + 0.631909i \(0.782272\pi\)
\(98\) 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 −0.328720 0.944427i \(-0.606617\pi\)
0.355252 + 0.934771i \(0.384395\pi\)
\(102\) −172.110 + 179.928i −0.167073 + 0.174662i
\(103\) −216.998 + 182.083i −0.207587 + 0.174186i −0.740653 0.671887i \(-0.765484\pi\)
0.533067 + 0.846073i \(0.321039\pi\)
\(104\) 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 −0.122139 0.992513i \(-0.538975\pi\)
0.956225 + 0.292632i \(0.0945310\pi\)
\(114\) −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 −0.331357 0.943505i \(-0.607506\pi\)
0.982778 0.184789i \(-0.0591602\pi\)
\(128\) 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 −0.0836754 0.996493i \(-0.526666\pi\)
−0.704633 + 0.709572i \(0.748888\pi\)
\(132\) 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 −0.899609 0.436697i \(-0.856148\pi\)
0.994715 0.102677i \(-0.0327407\pi\)
\(138\) −270.822 + 4156.62i −0.167057 + 2.56402i
\(139\) −783.968 285.341i −0.478383 0.174117i 0.0915630 0.995799i \(-0.470814\pi\)
−0.569946 + 0.821682i \(0.693036\pi\)
\(140\) −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 0.907521 + 0.420007i \(0.137972\pi\)
−0.709140 + 0.705068i \(0.750917\pi\)
\(150\) 1945.62 213.843i 1.05906 0.116401i
\(151\) −2621.46 2199.67i −1.41279 1.18547i −0.955072 0.296374i \(-0.904222\pi\)
−0.457718 0.889097i \(-0.651333\pi\)
\(152\) −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 −0.884398 0.466733i \(-0.845431\pi\)
0.306068 + 0.952010i \(0.400986\pi\)
\(158\) −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 −0.304568 0.952491i \(-0.598512\pi\)
0.885132 + 0.465339i \(0.154068\pi\)
\(168\) −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 0.510985 0.859590i \(-0.329281\pi\)
−0.757799 + 0.652488i \(0.773725\pi\)
\(174\) 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 0.709892 0.704311i \(-0.248744\pi\)
−0.964897 + 0.262629i \(0.915411\pi\)
\(180\) −2178.03 + 6926.53i −0.901892 + 2.86818i
\(181\) −1606.89 + 2783.22i −0.659886 + 1.14296i 0.320758 + 0.947161i \(0.396062\pi\)
−0.980645 + 0.195796i \(0.937271\pi\)
\(182\) −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 −0.996643 0.0818710i \(-0.973910\pi\)
0.964540 + 0.263938i \(0.0850216\pi\)
\(192\) 1899.80 + 1268.34i 0.714094 + 0.476742i
\(193\) 4468.07 + 1626.24i 1.66642 + 0.606526i 0.991352 0.131232i \(-0.0418933\pi\)
0.675065 + 0.737758i \(0.264115\pi\)
\(194\) −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 −0.832029 0.554732i \(-0.812821\pi\)
0.896426 + 0.443192i \(0.146154\pi\)
\(198\) −175.746 3954.92i −0.0630794 1.41952i
\(199\) −711.033 1231.55i −0.253285 0.438703i 0.711143 0.703047i \(-0.248178\pi\)
−0.964428 + 0.264344i \(0.914845\pi\)
\(200\) 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 −0.123268 0.992373i \(-0.539337\pi\)
0.955892 + 0.293719i \(0.0948930\pi\)
\(212\) 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 −0.338272 0.941048i \(-0.609842\pi\)
0.345763 + 0.938322i \(0.387620\pi\)
\(224\) 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 0.425533 0.904943i \(-0.360087\pi\)
−0.817302 + 0.576210i \(0.804531\pi\)
\(228\) −3745.04 + 8520.21i −1.08781 + 2.47484i
\(229\) 879.549 + 4988.17i 0.253809 + 1.43942i 0.799112 + 0.601183i \(0.205304\pi\)
−0.545303 + 0.838239i \(0.683585\pi\)
\(230\) −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 0.999611 + 0.0278757i \(0.00887427\pi\)
−0.475665 + 0.879627i \(0.657792\pi\)
\(234\) −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 0.174952 0.984577i \(-0.444023\pi\)
−0.498853 + 0.866687i \(0.666245\pi\)
\(240\) −9776.65 + 4826.02i −2.62950 + 1.29799i
\(241\) −1183.07 + 6709.50i −0.316216 + 1.79335i 0.249104 + 0.968477i \(0.419864\pi\)
−0.565320 + 0.824872i \(0.691247\pi\)
\(242\) −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 −0.984680 0.174372i \(-0.944210\pi\)
0.643351 + 0.765572i \(0.277544\pi\)
\(252\) −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 0.954038 0.299685i \(-0.0968815\pi\)
−0.999001 + 0.0446889i \(0.985770\pi\)
\(258\) 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 −0.412564 0.910929i \(-0.635367\pi\)
0.269491 + 0.963003i \(0.413144\pi\)
\(264\) 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 −0.346264 0.938137i \(-0.612550\pi\)
0.337769 + 0.941229i \(0.390328\pi\)
\(278\) −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 0.332354 0.943155i \(-0.392157\pi\)
−0.871113 + 0.491082i \(0.836601\pi\)
\(282\) 5619.39 + 7657.66i 1.18663 + 1.61705i
\(283\) −155.695 882.992i −0.0327036 0.185471i 0.964080 0.265612i \(-0.0855741\pi\)
−0.996784 + 0.0801408i \(0.974463\pi\)
\(284\) 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 0.119375 0.992849i \(-0.461911\pi\)
−0.546745 + 0.837299i \(0.684133\pi\)
\(294\) −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 0.884806 0.465959i \(-0.154291\pi\)
−0.845935 + 0.533285i \(0.820957\pi\)
\(308\) −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 −0.999793 0.0203628i \(-0.993518\pi\)
0.932533 0.361084i \(-0.117593\pi\)
\(312\) −2332.27 + 256.340i −0.423202 + 0.0465141i
\(313\) −7874.07 6607.13i −1.42194 1.19315i −0.950289 0.311371i \(-0.899212\pi\)
−0.471656 0.881783i \(-0.656344\pi\)
\(314\) 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 0.834923 0.550366i \(-0.185512\pi\)
0.993357 0.115073i \(-0.0367103\pi\)
\(318\) −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 −0.179011 0.983847i \(-0.557290\pi\)
0.495274 + 0.868737i \(0.335068\pi\)
\(332\) 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 −0.997083 0.0763238i \(-0.975682\pi\)
0.910847 0.412743i \(-0.135429\pi\)
\(338\) −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 0.188607 0.982053i \(-0.439603\pi\)
−0.486770 + 0.873530i \(0.661825\pi\)
\(348\) 1129.13 17330.1i 0.173931 2.66951i
\(349\) 1918.28 10879.1i 0.294222 1.66861i −0.376128 0.926568i \(-0.622745\pi\)
0.670350 0.742046i \(-0.266144\pi\)
\(350\) −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 −0.828278 0.560317i \(-0.810679\pi\)
0.969967 0.243238i \(-0.0782097\pi\)
\(354\) −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 0.251304 + 0.967908i \(0.419141\pi\)
−0.963885 + 0.266319i \(0.914193\pi\)
\(360\) 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 0.843332 0.537393i \(-0.180591\pi\)
−0.382786 + 0.923837i \(0.625035\pi\)
\(368\) 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 −0.979697 0.200483i \(-0.935749\pi\)
0.0273146 + 0.999627i \(0.491304\pi\)
\(374\) 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 0.139530 0.990218i \(-0.455441\pi\)
0.999403 + 0.0345397i \(0.0109965\pi\)
\(384\) −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 0.691830 0.722060i \(-0.256805\pi\)
−0.590956 + 0.806704i \(0.701249\pi\)
\(390\) 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 −0.978939 0.204153i \(-0.934556\pi\)
0.666271 + 0.745710i \(0.267889\pi\)
\(398\) −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 −0.626571 0.779364i \(-0.715542\pi\)
−0.980947 + 0.194275i \(0.937764\pi\)
\(402\) −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 0.736992 0.675902i \(-0.236246\pi\)
0.130107 + 0.991500i \(0.458468\pi\)
\(410\) 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 0.926896 + 0.375319i \(0.122467\pi\)
−0.742630 + 0.669702i \(0.766422\pi\)
\(420\) 5791.59 13176.2i 0.672859 1.53080i
\(421\) −3026.66 2539.67i −0.350381 0.294004i 0.450562 0.892745i \(-0.351224\pi\)
−0.800943 + 0.598741i \(0.795668\pi\)
\(422\) −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 −0.519459 0.854495i \(-0.673867\pi\)
0.151330 + 0.988483i \(0.451644\pi\)
\(440\) −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 0.610442 0.792061i \(-0.290992\pi\)
−0.674025 + 0.738708i \(0.735436\pi\)
\(444\) 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 0.996535 0.0831759i \(-0.0265063\pi\)
−0.570300 + 0.821437i \(0.693173\pi\)
\(450\) −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 −0.767589 0.640942i \(-0.778544\pi\)
0.940513 0.339758i \(-0.110345\pi\)
\(458\) 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 −0.669851 0.742496i \(-0.733642\pi\)
0.883402 0.468615i \(-0.155247\pi\)
\(462\) −510.210 + 7830.78i −0.0513790 + 0.788573i
\(463\) −15186.9 5527.57i −1.52439 0.554834i −0.562153 0.827033i \(-0.690027\pi\)
−0.962241 + 0.272199i \(0.912249\pi\)
\(464\) 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 −0.898984 0.437982i \(-0.855693\pi\)
0.828795 + 0.559552i \(0.189027\pi\)
\(468\) 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 0.0836525 0.996495i \(-0.473341\pi\)
0.704616 + 0.709589i \(0.251119\pi\)
\(480\) 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 −0.319423 0.947612i \(-0.603489\pi\)
0.877749 + 0.479121i \(0.159044\pi\)
\(492\) 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 −0.971650 0.236426i \(-0.924024\pi\)
0.832190 0.554491i \(-0.187087\pi\)
\(500\) −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 0.807729 0.589554i \(-0.200696\pi\)
−0.914433 + 0.404737i \(0.867363\pi\)
\(504\) 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 −0.426761 0.904364i \(-0.640345\pi\)
−0.908232 + 0.418467i \(0.862568\pi\)
\(510\) −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 −0.892558 0.450933i \(-0.851091\pi\)
0.836799 + 0.547511i \(0.184425\pi\)
\(522\) −20701.5 + 13210.9i −1.73579 + 1.10771i
\(523\) −6244.91 10816.5i −0.522124 0.904346i −0.999669 0.0257380i \(-0.991806\pi\)
0.477545 0.878608i \(-0.341527\pi\)
\(524\) 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 −0.986415 0.164273i \(-0.947472\pi\)
−0.650045 + 0.759895i \(0.725250\pi\)
\(548\) −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 0.887700 0.460423i \(-0.152302\pi\)
−0.842588 + 0.538559i \(0.818969\pi\)
\(558\) 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 0.0149370 0.999888i \(-0.495245\pi\)
−0.631274 + 0.775560i \(0.717467\pi\)
\(564\) 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 0.496057 + 0.868290i \(0.334781\pi\)
−0.763114 + 0.646264i \(0.776330\pi\)
\(570\) −31900.9 + 15747.1i −2.34418 + 1.15715i
\(571\) 2011.89 + 732.266i 0.147451 + 0.0536679i 0.414692 0.909962i \(-0.363889\pi\)
−0.267240 + 0.963630i \(0.586112\pi\)
\(572\) −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 0.558624 0.829421i \(-0.311330\pi\)
−0.997612 + 0.0690715i \(0.977996\pi\)
\(578\) −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 −0.0972847 0.995257i \(-0.531016\pi\)
0.565214 + 0.824944i \(0.308794\pi\)
\(588\) −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 0.0419278 0.999121i \(-0.486650\pi\)
0.991222 + 0.132205i \(0.0422056\pi\)
\(600\) −21192.1 5176.96i −1.44194 0.352248i
\(601\) −17664.7 + 6429.42i −1.19893 + 0.436375i −0.862851 0.505459i \(-0.831323\pi\)
−0.336080 + 0.941834i \(0.609101\pi\)
\(602\) −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 0.996317 + 0.0857495i \(0.0273285\pi\)
−0.906903 + 0.421339i \(0.861560\pi\)
\(608\) 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 −0.980984 0.194089i \(-0.937825\pi\)
0.658578 + 0.752512i \(0.271158\pi\)
\(614\) 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 0.917885 0.396846i \(-0.129895\pi\)
0.448053 + 0.894007i \(0.352117\pi\)
\(618\) −6378.08 4258.12i −0.415152 0.277163i
\(619\) 2272.40 12887.4i 0.147554 0.836818i −0.817728 0.575605i \(-0.804767\pi\)
0.965281 0.261213i \(-0.0841223\pi\)
\(620\) 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 0.932453 0.361292i \(-0.117664\pi\)
−0.779114 + 0.626882i \(0.784331\pi\)
\(632\) 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 −0.810388 0.585894i \(-0.800744\pi\)
−0.244188 + 0.969728i \(0.578521\pi\)
\(642\) −7087.95 24282.6i −0.435730 1.49277i
\(643\) −3185.24 + 2672.73i −0.195355 + 0.163923i −0.735218 0.677830i \(-0.762920\pi\)
0.539863 + 0.841753i \(0.318476\pi\)
\(644\) −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 −0.374774 0.927116i \(-0.622280\pi\)
0.847952 + 0.530073i \(0.177835\pi\)
\(654\) −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 0.980412 0.196960i \(-0.0631068\pi\)
−0.0237207 + 0.999719i \(0.507551\pi\)
\(660\) 39089.1 4296.28i 2.30537 0.253382i
\(661\) 3063.45 + 17373.7i 0.180264 + 1.02233i 0.931891 + 0.362739i \(0.118158\pi\)
−0.751627 + 0.659588i \(0.770731\pi\)
\(662\) −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 0.918957 + 0.394359i \(0.129033\pi\)
−0.998415 + 0.0562744i \(0.982078\pi\)
\(674\) −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 −0.615300 0.788293i \(-0.710965\pi\)
0.847805 0.530308i \(-0.177924\pi\)
\(678\) 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 −0.668252 0.743935i \(-0.732957\pi\)
0.978393 + 0.206756i \(0.0662906\pi\)
\(684\) −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 0.997480 0.0709466i \(-0.0226020\pi\)
0.103342 + 0.994646i \(0.467046\pi\)
\(692\) 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 0.214419 0.976742i \(-0.431214\pi\)
0.792092 + 0.610401i \(0.208992\pi\)
\(710\) −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 0.995720 0.0924168i \(-0.0294592\pi\)
−0.577896 + 0.816111i \(0.696126\pi\)
\(720\) 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 0.655139 + 0.755508i \(0.272610\pi\)
−0.874029 + 0.485875i \(0.838501\pi\)
\(728\) 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 −0.223004 0.974817i \(-0.571586\pi\)
−0.797432 + 0.603409i \(0.793809\pi\)
\(734\) 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 0.970095 0.242725i \(-0.0780414\pi\)
−0.695254 + 0.718764i \(0.744708\pi\)
\(740\) −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 0.992501 + 0.122236i \(0.0390065\pi\)
−0.890839 + 0.454320i \(0.849882\pi\)
\(744\) −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 −0.789324 0.613977i \(-0.789569\pi\)
0.467584 + 0.883949i \(0.345124\pi\)
\(752\) 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