Properties

Label 27.4.e.a.22.2
Level 27
Weight 4
Character 27.22
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 22.2
Character \(\chi\) = 27.22
Dual form 27.4.e.a.16.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.18975 + 2.67652i) q^{2} +(3.68036 + 3.66810i) q^{3} +(1.62157 - 9.19635i) q^{4} +(-14.0025 + 5.09651i) q^{5} +(-21.5571 - 1.84978i) q^{6} +(0.758337 + 4.30074i) q^{7} +(2.78612 + 4.82571i) q^{8} +(0.0900554 + 26.9998i) q^{9} +O(q^{10})\) \(q+(-3.18975 + 2.67652i) q^{2} +(3.68036 + 3.66810i) q^{3} +(1.62157 - 9.19635i) q^{4} +(-14.0025 + 5.09651i) q^{5} +(-21.5571 - 1.84978i) q^{6} +(0.758337 + 4.30074i) q^{7} +(2.78612 + 4.82571i) q^{8} +(0.0900554 + 26.9998i) q^{9} +(31.0237 - 53.7346i) q^{10} +(60.8046 + 22.1311i) q^{11} +(39.7011 - 27.8978i) q^{12} +(-2.75952 - 2.31552i) q^{13} +(-13.9299 - 11.6886i) q^{14} +(-70.2289 - 32.6058i) q^{15} +(48.3974 + 17.6152i) q^{16} +(-18.0500 + 31.2635i) q^{17} +(-72.5528 - 85.8817i) q^{18} +(37.4017 + 64.7817i) q^{19} +(24.1633 + 137.037i) q^{20} +(-12.9846 + 18.6099i) q^{21} +(-253.185 + 92.1519i) q^{22} +(36.4054 - 206.466i) q^{23} +(-7.44726 + 27.9801i) q^{24} +(74.3412 - 62.3796i) q^{25} +14.9997 q^{26} +(-98.7068 + 99.6994i) q^{27} +40.7808 q^{28} +(68.7272 - 57.6690i) q^{29} +(311.282 - 83.9644i) q^{30} +(-4.29738 + 24.3717i) q^{31} +(-243.412 + 88.5948i) q^{32} +(142.604 + 304.488i) q^{33} +(-26.1023 - 148.034i) q^{34} +(-32.5374 - 56.3564i) q^{35} +(248.446 + 42.9538i) q^{36} +(38.9926 - 67.5371i) q^{37} +(-292.691 - 106.531i) q^{38} +(-1.66249 - 18.6441i) q^{39} +(-63.6070 - 53.3726i) q^{40} +(-91.8433 - 77.0657i) q^{41} +(-8.39213 - 94.1145i) q^{42} +(-294.934 - 107.347i) q^{43} +(302.124 - 523.294i) q^{44} +(-138.866 - 377.607i) q^{45} +(436.484 + 756.013i) q^{46} +(50.7235 + 287.667i) q^{47} +(113.505 + 242.357i) q^{48} +(304.393 - 110.790i) q^{49} +(-70.1694 + 397.950i) q^{50} +(-181.108 + 48.8516i) q^{51} +(-25.7690 + 21.6228i) q^{52} +512.684 q^{53} +(48.0026 - 582.206i) q^{54} -964.210 q^{55} +(-18.6413 + 15.6419i) q^{56} +(-99.9741 + 375.613i) q^{57} +(-64.8705 + 367.899i) q^{58} +(3.32270 - 1.20936i) q^{59} +(-413.735 + 592.977i) q^{60} +(-62.7127 - 355.661i) q^{61} +(-51.5236 - 89.2414i) q^{62} +(-116.051 + 20.8623i) q^{63} +(333.285 - 577.266i) q^{64} +(50.4414 + 18.3592i) q^{65} +(-1269.84 - 589.558i) q^{66} +(144.592 + 121.327i) q^{67} +(258.241 + 216.690i) q^{68} +(891.322 - 626.328i) q^{69} +(254.625 + 92.6759i) q^{70} +(-243.711 + 422.120i) q^{71} +(-130.042 + 75.6595i) q^{72} +(-24.5604 - 42.5399i) q^{73} +(56.3877 + 319.790i) q^{74} +(502.417 + 43.1116i) q^{75} +(656.405 - 238.912i) q^{76} +(-49.0696 + 278.288i) q^{77} +(55.2042 + 55.0204i) q^{78} +(442.879 - 371.619i) q^{79} -767.462 q^{80} +(-728.984 + 4.86296i) q^{81} +499.225 q^{82} +(407.752 - 342.145i) q^{83} +(150.088 + 149.588i) q^{84} +(93.4110 - 529.760i) q^{85} +(1228.08 - 446.985i) q^{86} +(464.476 + 39.8560i) q^{87} +(62.6111 + 355.085i) q^{88} +(358.549 + 621.025i) q^{89} +(1453.62 + 832.795i) q^{90} +(7.86579 - 13.6239i) q^{91} +(-1839.70 - 669.595i) q^{92} +(-105.214 + 73.9332i) q^{93} +(-931.741 - 781.824i) q^{94} +(-853.879 - 716.490i) q^{95} +(-1220.82 - 566.800i) q^{96} +(312.330 + 113.679i) q^{97} +(-674.406 + 1168.11i) q^{98} +(-592.060 + 1643.71i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.18975 + 2.67652i −1.12775 + 0.946291i −0.998970 0.0453825i \(-0.985549\pi\)
−0.128776 + 0.991674i \(0.541105\pi\)
\(3\) 3.68036 + 3.66810i 0.708285 + 0.705927i
\(4\) 1.62157 9.19635i 0.202696 1.14954i
\(5\) −14.0025 + 5.09651i −1.25243 + 0.455845i −0.881220 0.472706i \(-0.843277\pi\)
−0.371205 + 0.928551i \(0.621055\pi\)
\(6\) −21.5571 1.84978i −1.46678 0.125862i
\(7\) 0.758337 + 4.30074i 0.0409463 + 0.232218i 0.998412 0.0563279i \(-0.0179392\pi\)
−0.957466 + 0.288546i \(0.906828\pi\)
\(8\) 2.78612 + 4.82571i 0.123130 + 0.213268i
\(9\) 0.0900554 + 26.9998i 0.00333539 + 0.999994i
\(10\) 31.0237 53.7346i 0.981055 1.69924i
\(11\) 60.8046 + 22.1311i 1.66666 + 0.606615i 0.991389 0.130953i \(-0.0418037\pi\)
0.675273 + 0.737568i \(0.264026\pi\)
\(12\) 39.7011 27.8978i 0.955060 0.671117i
\(13\) −2.75952 2.31552i −0.0588734 0.0494007i 0.612876 0.790179i \(-0.290012\pi\)
−0.671750 + 0.740778i \(0.734457\pi\)
\(14\) −13.9299 11.6886i −0.265923 0.223136i
\(15\) −70.2289 32.6058i −1.20887 0.561252i
\(16\) 48.3974 + 17.6152i 0.756209 + 0.275237i
\(17\) −18.0500 + 31.2635i −0.257516 + 0.446030i −0.965576 0.260122i \(-0.916237\pi\)
0.708060 + 0.706152i \(0.249571\pi\)
\(18\) −72.5528 85.8817i −0.950047 1.12458i
\(19\) 37.4017 + 64.7817i 0.451608 + 0.782207i 0.998486 0.0550047i \(-0.0175174\pi\)
−0.546878 + 0.837212i \(0.684184\pi\)
\(20\) 24.1633 + 137.037i 0.270153 + 1.53212i
\(21\) −12.9846 + 18.6099i −0.134927 + 0.193382i
\(22\) −253.185 + 92.1519i −2.45360 + 0.893039i
\(23\) 36.4054 206.466i 0.330046 1.87178i −0.141493 0.989939i \(-0.545190\pi\)
0.471539 0.881845i \(-0.343699\pi\)
\(24\) −7.44726 + 27.9801i −0.0633402 + 0.237976i
\(25\) 74.3412 62.3796i 0.594729 0.499037i
\(26\) 14.9997 0.113142
\(27\) −98.7068 + 99.6994i −0.703560 + 0.710636i
\(28\) 40.7808 0.275245
\(29\) 68.7272 57.6690i 0.440080 0.369271i −0.395659 0.918397i \(-0.629484\pi\)
0.835739 + 0.549126i \(0.185039\pi\)
\(30\) 311.282 83.9644i 1.89440 0.510991i
\(31\) −4.29738 + 24.3717i −0.0248978 + 0.141203i −0.994723 0.102600i \(-0.967284\pi\)
0.969825 + 0.243803i \(0.0783949\pi\)
\(32\) −243.412 + 88.5948i −1.34468 + 0.489422i
\(33\) 142.604 + 304.488i 0.752246 + 1.60620i
\(34\) −26.1023 148.034i −0.131662 0.746693i
\(35\) −32.5374 56.3564i −0.157138 0.272171i
\(36\) 248.446 + 42.9538i 1.15021 + 0.198860i
\(37\) 38.9926 67.5371i 0.173252 0.300082i −0.766303 0.642480i \(-0.777906\pi\)
0.939555 + 0.342398i \(0.111239\pi\)
\(38\) −292.691 106.531i −1.24949 0.454779i
\(39\) −1.66249 18.6441i −0.00682592 0.0765500i
\(40\) −63.6070 53.3726i −0.251429 0.210974i
\(41\) −91.8433 77.0657i −0.349842 0.293552i 0.450885 0.892582i \(-0.351109\pi\)
−0.800727 + 0.599030i \(0.795553\pi\)
\(42\) −8.39213 94.1145i −0.0308317 0.345766i
\(43\) −294.934 107.347i −1.04598 0.380705i −0.238835 0.971060i \(-0.576765\pi\)
−0.807143 + 0.590355i \(0.798988\pi\)
\(44\) 302.124 523.294i 1.03516 1.79294i
\(45\) −138.866 377.607i −0.460020 1.25090i
\(46\) 436.484 + 756.013i 1.39904 + 2.42322i
\(47\) 50.7235 + 287.667i 0.157421 + 0.892779i 0.956539 + 0.291604i \(0.0941891\pi\)
−0.799118 + 0.601174i \(0.794700\pi\)
\(48\) 113.505 + 242.357i 0.341314 + 0.728774i
\(49\) 304.393 110.790i 0.887444 0.323003i
\(50\) −70.1694 + 397.950i −0.198469 + 1.12557i
\(51\) −181.108 + 48.8516i −0.497259 + 0.134129i
\(52\) −25.7690 + 21.6228i −0.0687216 + 0.0576643i
\(53\) 512.684 1.32873 0.664364 0.747409i \(-0.268702\pi\)
0.664364 + 0.747409i \(0.268702\pi\)
\(54\) 48.0026 582.206i 0.120969 1.46719i
\(55\) −964.210 −2.36389
\(56\) −18.6413 + 15.6419i −0.0444830 + 0.0373257i
\(57\) −99.9741 + 375.613i −0.232314 + 0.872828i
\(58\) −64.8705 + 367.899i −0.146861 + 0.832888i
\(59\) 3.32270 1.20936i 0.00733185 0.00266857i −0.338352 0.941020i \(-0.609869\pi\)
0.345683 + 0.938351i \(0.387647\pi\)
\(60\) −413.735 + 592.977i −0.890216 + 1.27588i
\(61\) −62.7127 355.661i −0.131632 0.746521i −0.977146 0.212568i \(-0.931817\pi\)
0.845514 0.533953i \(-0.179294\pi\)
\(62\) −51.5236 89.2414i −0.105540 0.182801i
\(63\) −116.051 + 20.8623i −0.232080 + 0.0417207i
\(64\) 333.285 577.266i 0.650946 1.12747i
\(65\) 50.4414 + 18.3592i 0.0962536 + 0.0350334i
\(66\) −1269.84 589.558i −2.36827 1.09954i
\(67\) 144.592 + 121.327i 0.263652 + 0.221231i 0.765025 0.644001i \(-0.222727\pi\)
−0.501372 + 0.865232i \(0.667171\pi\)
\(68\) 258.241 + 216.690i 0.460534 + 0.386434i
\(69\) 891.322 626.328i 1.55511 1.09277i
\(70\) 254.625 + 92.6759i 0.434764 + 0.158241i
\(71\) −243.711 + 422.120i −0.407369 + 0.705583i −0.994594 0.103840i \(-0.966887\pi\)
0.587225 + 0.809423i \(0.300220\pi\)
\(72\) −130.042 + 75.6595i −0.212856 + 0.123841i
\(73\) −24.5604 42.5399i −0.0393778 0.0682044i 0.845665 0.533714i \(-0.179204\pi\)
−0.885043 + 0.465510i \(0.845871\pi\)
\(74\) 56.3877 + 319.790i 0.0885802 + 0.502363i
\(75\) 502.417 + 43.1116i 0.773521 + 0.0663747i
\(76\) 656.405 238.912i 0.990721 0.360593i
\(77\) −49.0696 + 278.288i −0.0726234 + 0.411868i
\(78\) 55.2042 + 55.0204i 0.0801365 + 0.0798697i
\(79\) 442.879 371.619i 0.630731 0.529246i −0.270425 0.962741i \(-0.587164\pi\)
0.901156 + 0.433495i \(0.142720\pi\)
\(80\) −767.462 −1.07256
\(81\) −728.984 + 4.86296i −0.999978 + 0.00667073i
\(82\) 499.225 0.672319
\(83\) 407.752 342.145i 0.539236 0.452473i −0.332040 0.943265i \(-0.607737\pi\)
0.871277 + 0.490792i \(0.163293\pi\)
\(84\) 150.088 + 149.588i 0.194952 + 0.194303i
\(85\) 93.4110 529.760i 0.119198 0.676007i
\(86\) 1228.08 446.985i 1.53986 0.560461i
\(87\) 464.476 + 39.8560i 0.572380 + 0.0491151i
\(88\) 62.6111 + 355.085i 0.0758450 + 0.430138i
\(89\) 358.549 + 621.025i 0.427035 + 0.739646i 0.996608 0.0822947i \(-0.0262249\pi\)
−0.569573 + 0.821941i \(0.692892\pi\)
\(90\) 1453.62 + 832.795i 1.70250 + 0.975382i
\(91\) 7.86579 13.6239i 0.00906108 0.0156943i
\(92\) −1839.70 669.595i −2.08480 0.758805i
\(93\) −105.214 + 73.9332i −0.117313 + 0.0824356i
\(94\) −931.741 781.824i −1.02236 0.857861i
\(95\) −853.879 716.490i −0.922170 0.773793i
\(96\) −1220.82 566.800i −1.29791 0.602592i
\(97\) 312.330 + 113.679i 0.326931 + 0.118993i 0.500271 0.865869i \(-0.333234\pi\)
−0.173340 + 0.984862i \(0.555456\pi\)
\(98\) −674.406 + 1168.11i −0.695156 + 1.20405i
\(99\) −592.060 + 1643.71i −0.601053 + 1.66868i
\(100\) −453.116 784.820i −0.453116 0.784820i
\(101\) 109.444 + 620.689i 0.107823 + 0.611494i 0.990055 + 0.140680i \(0.0449288\pi\)
−0.882232 + 0.470814i \(0.843960\pi\)
\(102\) 446.937 640.563i 0.433856 0.621815i
\(103\) −1013.18 + 368.766i −0.969235 + 0.352773i −0.777646 0.628703i \(-0.783586\pi\)
−0.191589 + 0.981475i \(0.561364\pi\)
\(104\) 3.48563 19.7680i 0.00328648 0.0186385i
\(105\) 86.9719 326.762i 0.0808342 0.303702i
\(106\) −1635.33 + 1372.21i −1.49847 + 1.25736i
\(107\) −541.712 −0.489432 −0.244716 0.969595i \(-0.578695\pi\)
−0.244716 + 0.969595i \(0.578695\pi\)
\(108\) 756.812 + 1069.41i 0.674298 + 0.952816i
\(109\) −401.921 −0.353184 −0.176592 0.984284i \(-0.556507\pi\)
−0.176592 + 0.984284i \(0.556507\pi\)
\(110\) 3075.59 2580.72i 2.66587 2.23693i
\(111\) 391.240 105.532i 0.334548 0.0902401i
\(112\) −39.0569 + 221.503i −0.0329512 + 0.186875i
\(113\) 24.2176 8.81448i 0.0201610 0.00733802i −0.331920 0.943308i \(-0.607696\pi\)
0.352081 + 0.935970i \(0.385474\pi\)
\(114\) −686.442 1465.69i −0.563958 1.20416i
\(115\) 542.484 + 3076.58i 0.439886 + 2.49472i
\(116\) −418.899 725.554i −0.335291 0.580741i
\(117\) 62.2701 74.7153i 0.0492040 0.0590379i
\(118\) −7.36170 + 12.7508i −0.00574321 + 0.00994754i
\(119\) −148.144 53.9201i −0.114121 0.0415365i
\(120\) −38.3203 429.747i −0.0291512 0.326920i
\(121\) 2187.81 + 1835.79i 1.64373 + 1.37926i
\(122\) 1151.97 + 966.618i 0.854873 + 0.717324i
\(123\) −55.3314 620.520i −0.0405615 0.454881i
\(124\) 217.162 + 79.0405i 0.157272 + 0.0572423i
\(125\) 208.278 360.748i 0.149031 0.258130i
\(126\) 314.335 377.158i 0.222248 0.266666i
\(127\) −956.295 1656.35i −0.668169 1.15730i −0.978416 0.206647i \(-0.933745\pi\)
0.310246 0.950656i \(-0.399588\pi\)
\(128\) 122.121 + 692.584i 0.0843289 + 0.478253i
\(129\) −691.703 1476.93i −0.472101 1.00803i
\(130\) −210.034 + 76.4461i −0.141701 + 0.0515751i
\(131\) 404.002 2291.21i 0.269449 1.52812i −0.486610 0.873619i \(-0.661767\pi\)
0.756059 0.654503i \(-0.227122\pi\)
\(132\) 3031.42 817.687i 1.99887 0.539170i
\(133\) −250.246 + 209.982i −0.163151 + 0.136900i
\(134\) −785.945 −0.506681
\(135\) 874.027 1899.10i 0.557216 1.21073i
\(136\) −201.158 −0.126832
\(137\) −1407.62 + 1181.13i −0.877816 + 0.736575i −0.965729 0.259553i \(-0.916425\pi\)
0.0879130 + 0.996128i \(0.471980\pi\)
\(138\) −1166.71 + 4383.46i −0.719691 + 2.70395i
\(139\) 402.502 2282.70i 0.245610 1.39292i −0.573462 0.819232i \(-0.694400\pi\)
0.819072 0.573691i \(-0.194489\pi\)
\(140\) −571.035 + 207.840i −0.344724 + 0.125469i
\(141\) −868.513 + 1244.78i −0.518737 + 0.743469i
\(142\) −352.434 1998.75i −0.208279 1.18121i
\(143\) −116.547 201.865i −0.0681548 0.118048i
\(144\) −471.249 + 1308.31i −0.272714 + 0.757123i
\(145\) −668.445 + 1157.78i −0.382837 + 0.663093i
\(146\) 192.200 + 69.9552i 0.108949 + 0.0396543i
\(147\) 1526.67 + 708.798i 0.856580 + 0.397692i
\(148\) −557.866 468.105i −0.309840 0.259987i
\(149\) 50.2838 + 42.1931i 0.0276470 + 0.0231986i 0.656506 0.754320i \(-0.272033\pi\)
−0.628859 + 0.777519i \(0.716478\pi\)
\(150\) −1717.97 + 1207.21i −0.935145 + 0.657123i
\(151\) 121.030 + 44.0512i 0.0652268 + 0.0237406i 0.374428 0.927256i \(-0.377839\pi\)
−0.309201 + 0.950997i \(0.600061\pi\)
\(152\) −208.412 + 360.979i −0.111213 + 0.192627i
\(153\) −845.735 484.531i −0.446886 0.256026i
\(154\) −588.322 1019.00i −0.307846 0.533205i
\(155\) −64.0361 363.167i −0.0331839 0.188195i
\(156\) −174.154 14.9439i −0.0893812 0.00766967i
\(157\) 1399.23 509.277i 0.711278 0.258884i 0.0390593 0.999237i \(-0.487564\pi\)
0.672218 + 0.740353i \(0.265342\pi\)
\(158\) −418.026 + 2370.74i −0.210483 + 1.19371i
\(159\) 1886.86 + 1880.58i 0.941119 + 0.937985i
\(160\) 2956.87 2481.10i 1.46100 1.22593i
\(161\) 915.563 0.448177
\(162\) 2312.26 1966.65i 1.12141 0.953793i
\(163\) 2721.50 1.30776 0.653879 0.756599i \(-0.273141\pi\)
0.653879 + 0.756599i \(0.273141\pi\)
\(164\) −857.653 + 719.657i −0.408363 + 0.342657i
\(165\) −3548.64 3536.82i −1.67431 1.66873i
\(166\) −384.871 + 2182.71i −0.179950 + 1.02055i
\(167\) −1447.94 + 527.007i −0.670928 + 0.244198i −0.654947 0.755674i \(-0.727309\pi\)
−0.0159808 + 0.999872i \(0.505087\pi\)
\(168\) −125.983 10.8104i −0.0578558 0.00496452i
\(169\) −379.252 2150.84i −0.172623 0.978991i
\(170\) 1119.95 + 1939.82i 0.505274 + 0.875160i
\(171\) −1745.73 + 1015.67i −0.780697 + 0.454214i
\(172\) −1465.46 + 2538.25i −0.649652 + 1.12523i
\(173\) −3152.95 1147.58i −1.38563 0.504329i −0.461752 0.887009i \(-0.652779\pi\)
−0.923881 + 0.382680i \(0.875001\pi\)
\(174\) −1588.24 + 1116.05i −0.691977 + 0.486249i
\(175\) 324.654 + 272.417i 0.140238 + 0.117673i
\(176\) 2552.94 + 2142.17i 1.09338 + 0.917455i
\(177\) 16.6648 + 7.73712i 0.00707686 + 0.00328564i
\(178\) −2805.86 1021.25i −1.18151 0.430033i
\(179\) 990.380 1715.39i 0.413545 0.716280i −0.581730 0.813382i \(-0.697624\pi\)
0.995274 + 0.0971019i \(0.0309573\pi\)
\(180\) −3697.79 + 664.745i −1.53121 + 0.275262i
\(181\) 946.317 + 1639.07i 0.388614 + 0.673100i 0.992263 0.124150i \(-0.0396205\pi\)
−0.603649 + 0.797250i \(0.706287\pi\)
\(182\) 11.3748 + 64.5098i 0.00463274 + 0.0262736i
\(183\) 1073.80 1539.00i 0.433756 0.621672i
\(184\) 1097.77 399.556i 0.439831 0.160085i
\(185\) −201.792 + 1144.42i −0.0801946 + 0.454806i
\(186\) 137.722 517.434i 0.0542916 0.203979i
\(187\) −1789.42 + 1501.50i −0.699760 + 0.587168i
\(188\) 2727.74 1.05820
\(189\) −503.635 348.907i −0.193831 0.134282i
\(190\) 4641.36 1.77221
\(191\) 521.099 437.254i 0.197411 0.165647i −0.538724 0.842482i \(-0.681093\pi\)
0.736135 + 0.676835i \(0.236649\pi\)
\(192\) 3344.08 902.022i 1.25697 0.339051i
\(193\) 409.470 2322.22i 0.152717 0.866098i −0.808127 0.589008i \(-0.799519\pi\)
0.960844 0.277090i \(-0.0893702\pi\)
\(194\) −1300.52 + 473.349i −0.481297 + 0.175178i
\(195\) 118.299 + 252.592i 0.0434439 + 0.0927616i
\(196\) −525.271 2978.96i −0.191425 1.08563i
\(197\) −738.044 1278.33i −0.266921 0.462321i 0.701144 0.713020i \(-0.252673\pi\)
−0.968065 + 0.250699i \(0.919340\pi\)
\(198\) −2510.89 6827.67i −0.901218 2.45061i
\(199\) −2103.44 + 3643.26i −0.749289 + 1.29781i 0.198875 + 0.980025i \(0.436271\pi\)
−0.948164 + 0.317782i \(0.897062\pi\)
\(200\) 508.149 + 184.951i 0.179658 + 0.0653901i
\(201\) 87.1099 + 976.904i 0.0305685 + 0.342813i
\(202\) −2010.38 1686.91i −0.700248 0.587578i
\(203\) 300.138 + 251.845i 0.103771 + 0.0870743i
\(204\) 155.578 + 1744.75i 0.0533954 + 0.598808i
\(205\) 1678.81 + 611.035i 0.571965 + 0.208178i
\(206\) 2244.77 3888.05i 0.759225 1.31502i
\(207\) 5577.82 + 964.348i 1.87287 + 0.323801i
\(208\) −92.7654 160.674i −0.0309237 0.0535614i
\(209\) 840.509 + 4766.76i 0.278178 + 1.57763i
\(210\) 597.166 + 1275.07i 0.196230 + 0.418992i
\(211\) −2436.30 + 886.742i −0.794892 + 0.289317i −0.707368 0.706846i \(-0.750118\pi\)
−0.0875237 + 0.996162i \(0.527895\pi\)
\(212\) 831.351 4714.83i 0.269328 1.52743i
\(213\) −2445.32 + 659.595i −0.786623 + 0.212182i
\(214\) 1727.92 1449.90i 0.551955 0.463145i
\(215\) 4676.93 1.48355
\(216\) −756.129 198.555i −0.238186 0.0625461i
\(217\) −108.075 −0.0338093
\(218\) 1282.03 1075.75i 0.398302 0.334215i
\(219\) 65.6496 246.652i 0.0202566 0.0761060i
\(220\) −1563.53 + 8867.21i −0.479150 + 2.71740i
\(221\) 122.200 44.4773i 0.0371950 0.0135379i
\(222\) −965.497 + 1383.78i −0.291892 + 0.418348i
\(223\) 473.790 + 2687.00i 0.142275 + 0.806882i 0.969515 + 0.245033i \(0.0787988\pi\)
−0.827240 + 0.561849i \(0.810090\pi\)
\(224\) −565.612 979.669i −0.168712 0.292218i
\(225\) 1690.94 + 2001.58i 0.501018 + 0.593061i
\(226\) −53.6559 + 92.9347i −0.0157926 + 0.0273536i
\(227\) 2868.71 + 1044.12i 0.838779 + 0.305291i 0.725457 0.688268i \(-0.241629\pi\)
0.113322 + 0.993558i \(0.463851\pi\)
\(228\) 3292.16 + 1528.48i 0.956265 + 0.443974i
\(229\) −2748.21 2306.02i −0.793042 0.665441i 0.153455 0.988156i \(-0.450960\pi\)
−0.946496 + 0.322715i \(0.895405\pi\)
\(230\) −9964.91 8361.55i −2.85681 2.39715i
\(231\) −1201.38 + 844.206i −0.342187 + 0.240453i
\(232\) 469.776 + 170.984i 0.132941 + 0.0483865i
\(233\) −2364.17 + 4094.87i −0.664730 + 1.15135i 0.314629 + 0.949215i \(0.398120\pi\)
−0.979358 + 0.202131i \(0.935213\pi\)
\(234\) 1.35080 + 404.990i 0.000377371 + 0.113141i
\(235\) −2176.36 3769.56i −0.604127 1.04638i
\(236\) −5.73377 32.5178i −0.00158151 0.00896919i
\(237\) 2993.09 + 256.832i 0.820346 + 0.0703926i
\(238\) 616.860 224.519i 0.168005 0.0611487i
\(239\) −697.752 + 3957.15i −0.188844 + 1.07099i 0.732071 + 0.681228i \(0.238554\pi\)
−0.920916 + 0.389762i \(0.872557\pi\)
\(240\) −2824.53 2815.13i −0.759679 0.757149i
\(241\) −1238.89 + 1039.55i −0.331136 + 0.277856i −0.793163 0.609010i \(-0.791567\pi\)
0.462026 + 0.886866i \(0.347123\pi\)
\(242\) −11892.1 −3.15889
\(243\) −2700.76 2656.09i −0.712978 0.701186i
\(244\) −3372.48 −0.884840
\(245\) −3697.64 + 3102.68i −0.964218 + 0.809075i
\(246\) 1837.32 + 1831.21i 0.476193 + 0.474608i
\(247\) 46.7921 265.371i 0.0120539 0.0683609i
\(248\) −129.583 + 47.1645i −0.0331797 + 0.0120764i
\(249\) 2755.70 + 236.462i 0.701346 + 0.0601814i
\(250\) 301.193 + 1708.15i 0.0761966 + 0.432132i
\(251\) −3119.82 5403.69i −0.784548 1.35888i −0.929269 0.369404i \(-0.879562\pi\)
0.144721 0.989473i \(-0.453772\pi\)
\(252\) 3.67254 + 1101.08i 0.000918047 + 0.275243i
\(253\) 6782.92 11748.4i 1.68553 2.91942i
\(254\) 7483.59 + 2723.81i 1.84867 + 0.672861i
\(255\) 2287.00 1607.07i 0.561637 0.394660i
\(256\) 1841.72 + 1545.39i 0.449640 + 0.377293i
\(257\) −552.531 463.629i −0.134109 0.112531i 0.573266 0.819369i \(-0.305676\pi\)
−0.707375 + 0.706839i \(0.750121\pi\)
\(258\) 6159.37 + 2859.67i 1.48630 + 0.690058i
\(259\) 320.029 + 116.481i 0.0767786 + 0.0279451i
\(260\) 250.631 434.106i 0.0597827 0.103547i
\(261\) 1563.24 + 1850.43i 0.370737 + 0.438846i
\(262\) 4843.80 + 8389.70i 1.14218 + 1.97831i
\(263\) −859.604 4875.05i −0.201542 1.14300i −0.902790 0.430082i \(-0.858485\pi\)
0.701248 0.712917i \(-0.252626\pi\)
\(264\) −1072.06 + 1536.50i −0.249926 + 0.358202i
\(265\) −7178.88 + 2612.90i −1.66413 + 0.605695i
\(266\) 236.203 1339.58i 0.0544457 0.308777i
\(267\) −958.394 + 3600.79i −0.219673 + 0.825335i
\(268\) 1350.23 1132.98i 0.307755 0.258237i
\(269\) 6217.27 1.40920 0.704598 0.709607i \(-0.251127\pi\)
0.704598 + 0.709607i \(0.251127\pi\)
\(270\) 2295.06 + 8397.01i 0.517307 + 1.89269i
\(271\) −2888.86 −0.647549 −0.323774 0.946134i \(-0.604952\pi\)
−0.323774 + 0.946134i \(0.604952\pi\)
\(272\) −1424.28 + 1195.12i −0.317500 + 0.266414i
\(273\) 78.9229 21.2885i 0.0174968 0.00471955i
\(274\) 1328.63 7535.01i 0.292939 1.66134i
\(275\) 5900.81 2147.72i 1.29394 0.470954i
\(276\) −4314.60 9212.54i −0.940972 2.00917i
\(277\) 19.4613 + 110.370i 0.00422136 + 0.0239405i 0.986846 0.161665i \(-0.0516864\pi\)
−0.982624 + 0.185606i \(0.940575\pi\)
\(278\) 4825.81 + 8358.55i 1.04113 + 1.80328i
\(279\) −658.418 113.834i −0.141285 0.0244267i
\(280\) 181.306 314.032i 0.0386969 0.0670250i
\(281\) 1083.36 + 394.312i 0.229993 + 0.0837107i 0.454446 0.890774i \(-0.349837\pi\)
−0.224453 + 0.974485i \(0.572059\pi\)
\(282\) −561.331 6295.11i −0.118535 1.32932i
\(283\) −461.208 387.000i −0.0968763 0.0812888i 0.593063 0.805156i \(-0.297918\pi\)
−0.689939 + 0.723867i \(0.742363\pi\)
\(284\) 3486.77 + 2925.75i 0.728527 + 0.611307i
\(285\) −514.423 5769.06i −0.106919 1.19905i
\(286\) 912.051 + 331.959i 0.188569 + 0.0686334i
\(287\) 261.792 453.436i 0.0538434 0.0932596i
\(288\) −2413.97 6564.12i −0.493904 1.34304i
\(289\) 1804.90 + 3126.17i 0.367371 + 0.636306i
\(290\) −966.648 5482.13i −0.195736 1.11008i
\(291\) 732.500 + 1564.04i 0.147560 + 0.315070i
\(292\) −431.038 + 156.885i −0.0863857 + 0.0314418i
\(293\) 569.084 3227.44i 0.113468 0.643512i −0.874029 0.485875i \(-0.838501\pi\)
0.987497 0.157637i \(-0.0503877\pi\)
\(294\) −6766.79 + 1825.26i −1.34234 + 0.362078i
\(295\) −40.3627 + 33.8684i −0.00796613 + 0.00668438i
\(296\) 434.552 0.0853305
\(297\) −8208.28 + 3877.70i −1.60368 + 0.757599i
\(298\) −273.323 −0.0531315
\(299\) −578.536 + 485.449i −0.111898 + 0.0938938i
\(300\) 1211.17 4550.49i 0.233090 0.875743i
\(301\) 238.014 1349.84i 0.0455777 0.258484i
\(302\) −503.958 + 183.426i −0.0960248 + 0.0349502i
\(303\) −1873.96 + 2685.81i −0.355301 + 0.509227i
\(304\) 669.002 + 3794.10i 0.126217 + 0.715811i
\(305\) 2690.77 + 4660.55i 0.505157 + 0.874958i
\(306\) 3994.54 718.090i 0.746250 0.134152i
\(307\) −2478.68 + 4293.19i −0.460800 + 0.798129i −0.999001 0.0446877i \(-0.985771\pi\)
0.538201 + 0.842816i \(0.319104\pi\)
\(308\) 2479.66 + 902.523i 0.458740 + 0.166968i
\(309\) −5081.52 2359.24i −0.935526 0.434345i
\(310\) 1176.28 + 987.016i 0.215510 + 0.180835i
\(311\) 2543.01 + 2133.84i 0.463669 + 0.389065i 0.844479 0.535589i \(-0.179910\pi\)
−0.380810 + 0.924653i \(0.624355\pi\)
\(312\) 85.3392 59.9675i 0.0154852 0.0108814i
\(313\) 1729.77 + 629.585i 0.312372 + 0.113694i 0.493449 0.869775i \(-0.335736\pi\)
−0.181077 + 0.983469i \(0.557958\pi\)
\(314\) −3100.10 + 5369.52i −0.557161 + 0.965031i
\(315\) 1518.69 883.580i 0.271645 0.158045i
\(316\) −2699.39 4675.47i −0.480545 0.832329i
\(317\) −1297.98 7361.21i −0.229974 1.30425i −0.852944 0.522002i \(-0.825185\pi\)
0.622970 0.782246i \(-0.285926\pi\)
\(318\) −11052.0 948.356i −1.94895 0.167236i
\(319\) 5455.20 1985.53i 0.957470 0.348490i
\(320\) −1724.79 + 9781.77i −0.301309 + 1.70881i
\(321\) −1993.69 1987.05i −0.346657 0.345503i
\(322\) −2920.41 + 2450.52i −0.505429 + 0.424106i
\(323\) −2700.40 −0.465184
\(324\) −1137.37 + 6711.88i −0.195023 + 1.15087i
\(325\) −349.587 −0.0596665
\(326\) −8680.90 + 7284.14i −1.47482 + 1.23752i
\(327\) −1479.21 1474.29i −0.250155 0.249322i
\(328\) 116.010 657.923i 0.0195292 0.110755i
\(329\) −1198.72 + 436.298i −0.200874 + 0.0731120i
\(330\) 20785.6 + 1783.58i 3.46730 + 0.297524i
\(331\) −1609.21 9126.31i −0.267222 1.51549i −0.762633 0.646832i \(-0.776094\pi\)
0.495411 0.868659i \(-0.335018\pi\)
\(332\) −2485.29 4304.64i −0.410837 0.711590i
\(333\) 1827.00 + 1046.71i 0.300658 + 0.172251i
\(334\) 3208.02 5556.46i 0.525554 0.910287i
\(335\) −2643.00 961.972i −0.431052 0.156890i
\(336\) −956.238 + 671.945i −0.155259 + 0.109100i
\(337\) 8136.60 + 6827.41i 1.31522 + 1.10360i 0.987296 + 0.158895i \(0.0507931\pi\)
0.327923 + 0.944704i \(0.393651\pi\)
\(338\) 6966.48 + 5845.57i 1.12108 + 0.940702i
\(339\) 121.462 + 56.3921i 0.0194599 + 0.00903481i
\(340\) −4720.39 1718.08i −0.752938 0.274047i
\(341\) −800.671 + 1386.80i −0.127152 + 0.220233i
\(342\) 2849.96 7912.21i 0.450609 1.25100i
\(343\) 1456.27 + 2522.33i 0.229245 + 0.397064i
\(344\) −303.697 1722.35i −0.0475995 0.269950i
\(345\) −9288.68 + 13312.8i −1.44952 + 2.07750i
\(346\) 13128.6 4778.43i 2.03988 0.742457i
\(347\) −667.156 + 3783.63i −0.103213 + 0.585349i 0.888706 + 0.458477i \(0.151605\pi\)
−0.991919 + 0.126872i \(0.959506\pi\)
\(348\) 1119.71 4206.86i 0.172479 0.648021i
\(349\) 338.338 283.900i 0.0518935 0.0435438i −0.616472 0.787377i \(-0.711439\pi\)
0.668366 + 0.743833i \(0.266994\pi\)
\(350\) −1764.69 −0.269505
\(351\) 503.239 46.5659i 0.0765269 0.00708121i
\(352\) −16761.3 −2.53801
\(353\) 8230.40 6906.12i 1.24096 1.04129i 0.243514 0.969897i \(-0.421700\pi\)
0.997448 0.0713940i \(-0.0227448\pi\)
\(354\) −73.8650 + 19.9242i −0.0110901 + 0.00299141i
\(355\) 1261.24 7152.82i 0.188562 1.06939i
\(356\) 6292.57 2290.31i 0.936814 0.340972i
\(357\) −347.439 741.853i −0.0515082 0.109980i
\(358\) 1432.20 + 8122.42i 0.211436 + 1.19912i
\(359\) −5923.26 10259.4i −0.870801 1.50827i −0.861169 0.508319i \(-0.830267\pi\)
−0.00963217 0.999954i \(-0.503066\pi\)
\(360\) 1435.33 1722.19i 0.210134 0.252131i
\(361\) 631.722 1094.17i 0.0921011 0.159524i
\(362\) −7405.51 2695.38i −1.07521 0.391343i
\(363\) 1318.05 + 14781.5i 0.190578 + 2.13726i
\(364\) −112.536 94.4287i −0.0162046 0.0135973i
\(365\) 560.713 + 470.494i 0.0804084 + 0.0674707i
\(366\) 694.009 + 7783.05i 0.0991160 + 1.11155i
\(367\) −1206.14 439.000i −0.171553 0.0624403i 0.254816 0.966990i \(-0.417985\pi\)
−0.426369 + 0.904549i \(0.640207\pi\)
\(368\) 5398.86 9351.10i 0.764769 1.32462i
\(369\) 2072.49 2486.70i 0.292384 0.350819i
\(370\) −2419.39 4190.50i −0.339940 0.588794i
\(371\) 388.788 + 2204.92i 0.0544066 + 0.308555i
\(372\) 509.305 + 1087.47i 0.0709845 + 0.151566i
\(373\) −5556.69 + 2022.47i −0.771353 + 0.280749i −0.697562 0.716524i \(-0.745732\pi\)
−0.0737905 + 0.997274i \(0.523510\pi\)
\(374\) 1689.00 9578.80i 0.233519 1.32435i
\(375\) 2089.80 563.696i 0.287778 0.0776244i
\(376\) −1246.88 + 1046.25i −0.171018 + 0.143501i
\(377\) −323.188 −0.0441512
\(378\) 2540.32 235.062i 0.345661 0.0319848i
\(379\) −6388.36 −0.865825 −0.432913 0.901436i \(-0.642514\pi\)
−0.432913 + 0.901436i \(0.642514\pi\)
\(380\) −7973.72 + 6690.74i −1.07643 + 0.903231i
\(381\) 2556.16 9603.76i 0.343717 1.29138i
\(382\) −491.857 + 2789.46i −0.0658785 + 0.373616i
\(383\) −12042.6 + 4383.16i −1.60666 + 0.584776i −0.980775 0.195140i \(-0.937484\pi\)
−0.625884 + 0.779916i \(0.715262\pi\)
\(384\) −2091.02 + 2996.91i −0.277883 + 0.398269i
\(385\) −731.196 4146.82i −0.0967927 0.548939i
\(386\) 4909.35 + 8503.24i 0.647356 + 1.12125i
\(387\) 2871.80 7972.85i 0.377214 1.04724i
\(388\) 1551.89 2687.96i 0.203055 0.351702i
\(389\) 6661.13 + 2424.45i 0.868207 + 0.316001i 0.737441 0.675412i \(-0.236034\pi\)
0.130766 + 0.991413i \(0.458256\pi\)
\(390\) −1053.41 489.077i −0.136773 0.0635009i
\(391\) 5797.72 + 4864.86i 0.749880 + 0.629224i
\(392\) 1382.72 + 1160.24i 0.178158 + 0.149492i
\(393\) 9891.27 6950.55i 1.26959 0.892135i
\(394\) 5775.64 + 2102.16i 0.738509 + 0.268795i
\(395\) −4307.46 + 7460.75i −0.548689 + 0.950357i
\(396\) 14156.1 + 8110.17i 1.79639 + 1.02917i
\(397\) 5314.08 + 9204.25i 0.671803 + 1.16360i 0.977392 + 0.211434i \(0.0678133\pi\)
−0.305589 + 0.952163i \(0.598853\pi\)
\(398\) −3041.81 17250.9i −0.383095 2.17264i
\(399\) −1691.23 145.122i −0.212199 0.0182085i
\(400\) 4696.74 1709.48i 0.587093 0.213684i
\(401\) 1665.07 9443.07i 0.207355 1.17597i −0.686335 0.727286i \(-0.740781\pi\)
0.893690 0.448685i \(-0.148107\pi\)
\(402\) −2892.56 2882.93i −0.358875 0.357680i
\(403\) 68.2917 57.3035i 0.00844132 0.00708311i
\(404\) 5885.55 0.724795
\(405\) 10182.8 3783.37i 1.24936 0.464190i
\(406\) −1631.43 −0.199425
\(407\) 3865.59 3243.62i 0.470787 0.395037i
\(408\) −740.333 737.868i −0.0898332 0.0895341i
\(409\) −2006.85 + 11381.4i −0.242622 + 1.37598i 0.583328 + 0.812237i \(0.301750\pi\)
−0.825950 + 0.563743i \(0.809361\pi\)
\(410\) −6990.41 + 2544.30i −0.842029 + 0.306473i
\(411\) −9513.04 816.299i −1.14171 0.0979685i
\(412\) 1748.37 + 9915.50i 0.209068 + 1.18568i
\(413\) 7.72090 + 13.3730i 0.000919904 + 0.00159332i
\(414\) −20372.9 + 11853.1i −2.41854 + 1.40712i
\(415\) −3965.82 + 6869.01i −0.469095 + 0.812497i
\(416\) 876.845 + 319.145i 0.103343 + 0.0376139i
\(417\) 9854.54 6924.74i 1.15726 0.813204i
\(418\) −15439.3 12955.1i −1.80661 1.51592i
\(419\) 7615.39 + 6390.07i 0.887914 + 0.745048i 0.967791 0.251756i \(-0.0810082\pi\)
−0.0798765 + 0.996805i \(0.525453\pi\)
\(420\) −2863.99 1329.69i −0.332734 0.154482i
\(421\) −9063.27 3298.76i −1.04921 0.381881i −0.240845 0.970564i \(-0.577424\pi\)
−0.808364 + 0.588683i \(0.799647\pi\)
\(422\) 5397.82 9349.29i 0.622658 1.07847i
\(423\) −7762.41 + 1395.43i −0.892249 + 0.160398i
\(424\) 1428.40 + 2474.06i 0.163607 + 0.283375i
\(425\) 608.348 + 3450.12i 0.0694335 + 0.393777i
\(426\) 6034.54 8648.88i 0.686325 0.983661i
\(427\) 1482.05 539.422i 0.167966 0.0611346i
\(428\) −878.421 + 4981.77i −0.0992058 + 0.562624i
\(429\) 311.528 1170.44i 0.0350599 0.131724i
\(430\) −14918.2 + 12517.9i −1.67307 + 1.40387i
\(431\) −12396.5 −1.38542 −0.692711 0.721215i \(-0.743584\pi\)
−0.692711 + 0.721215i \(0.743584\pi\)
\(432\) −6533.37 + 3086.45i −0.727632 + 0.343743i
\(433\) 8212.00 0.911417 0.455709 0.890129i \(-0.349386\pi\)
0.455709 + 0.890129i \(0.349386\pi\)
\(434\) 344.732 289.265i 0.0381283 0.0319934i
\(435\) −6706.97 + 1809.12i −0.739252 + 0.199404i
\(436\) −651.741 + 3696.21i −0.0715889 + 0.406001i
\(437\) 14736.8 5363.76i 1.61317 0.587148i
\(438\) 450.763 + 962.470i 0.0491742 + 0.104997i
\(439\) 925.549 + 5249.05i 0.100624 + 0.570669i 0.992878 + 0.119134i \(0.0380120\pi\)
−0.892254 + 0.451534i \(0.850877\pi\)
\(440\) −2686.41 4652.99i −0.291067 0.504143i
\(441\) 3018.73 + 8208.59i 0.325961 + 0.886362i
\(442\) −270.744 + 468.943i −0.0291357 + 0.0504646i
\(443\) 6032.96 + 2195.82i 0.647030 + 0.235500i 0.644627 0.764497i \(-0.277013\pi\)
0.00240350 + 0.999997i \(0.499235\pi\)
\(444\) −336.089 3769.10i −0.0359236 0.402869i
\(445\) −8185.65 6868.58i −0.871993 0.731689i
\(446\) −8703.07 7302.74i −0.923996 0.775325i
\(447\) 30.2937 + 339.732i 0.00320546 + 0.0359480i
\(448\) 2735.41 + 995.609i 0.288474 + 0.104996i
\(449\) −7773.82 + 13464.7i −0.817081 + 1.41523i 0.0907432 + 0.995874i \(0.471076\pi\)
−0.907824 + 0.419351i \(0.862258\pi\)
\(450\) −10750.9 1858.73i −1.12623 0.194714i
\(451\) −3878.95 6718.54i −0.404995 0.701472i
\(452\) −41.7907 237.007i −0.00434882 0.0246634i
\(453\) 283.848 + 606.073i 0.0294400 + 0.0628605i
\(454\) −11945.1 + 4347.65i −1.23482 + 0.449439i
\(455\) −40.7065 + 230.858i −0.00419417 + 0.0237863i
\(456\) −2091.14 + 564.058i −0.214751 + 0.0579264i
\(457\) 13929.2 11688.0i 1.42578 1.19637i 0.477624 0.878564i \(-0.341498\pi\)
0.948156 0.317807i \(-0.102946\pi\)
\(458\) 14938.2 1.52405
\(459\) −1335.30 4885.49i −0.135787 0.496809i
\(460\) 29173.0 2.95695
\(461\) −11480.2 + 9633.01i −1.15984 + 0.973219i −0.999903 0.0139089i \(-0.995573\pi\)
−0.159934 + 0.987128i \(0.551128\pi\)
\(462\) 1572.57 5908.32i 0.158361 0.594978i
\(463\) −1011.90 + 5738.76i −0.101570 + 0.576032i 0.890965 + 0.454072i \(0.150029\pi\)
−0.992535 + 0.121960i \(0.961082\pi\)
\(464\) 4342.07 1580.38i 0.434430 0.158119i
\(465\) 1096.46 1571.47i 0.109348 0.156721i
\(466\) −3418.86 19389.3i −0.339862 1.92745i
\(467\) 5542.30 + 9599.55i 0.549180 + 0.951208i 0.998331 + 0.0577523i \(0.0183934\pi\)
−0.449150 + 0.893456i \(0.648273\pi\)
\(468\) −586.133 693.813i −0.0578932 0.0685289i
\(469\) −412.147 + 713.859i −0.0405782 + 0.0702835i
\(470\) 17031.3 + 6198.89i 1.67148 + 0.608369i
\(471\) 7017.74 + 3258.19i 0.686540 + 0.318746i
\(472\) 15.0935 + 12.6649i 0.00147190 + 0.00123507i
\(473\) −15557.6 13054.4i −1.51235 1.26901i
\(474\) −10234.6 + 7191.82i −0.991754 + 0.696901i
\(475\) 6821.55 + 2482.84i 0.658935 + 0.239833i
\(476\) −736.094 + 1274.95i −0.0708798 + 0.122767i
\(477\) 46.1700 + 13842.4i 0.00443182 + 1.32872i
\(478\) −8365.72 14489.8i −0.800500 1.38651i
\(479\) −790.050 4480.59i −0.0753618 0.427398i −0.999023 0.0441884i \(-0.985930\pi\)
0.923661 0.383210i \(-0.125181\pi\)
\(480\) 19983.3 + 1714.73i 1.90022 + 0.163055i
\(481\) −263.984 + 96.0824i −0.0250242 + 0.00910806i
\(482\) 1169.37 6631.81i 0.110505 0.626702i
\(483\) 3369.60 + 3358.38i 0.317437 + 0.316380i
\(484\) 20430.2 17143.0i 1.91869 1.60998i
\(485\) −4952.77 −0.463699
\(486\) 15723.8 + 1243.63i 1.46758 + 0.116075i
\(487\) 11089.7 1.03187 0.515936 0.856627i \(-0.327444\pi\)
0.515936 + 0.856627i \(0.327444\pi\)
\(488\) 1541.59 1293.55i 0.143001 0.119992i
\(489\) 10016.1 + 9982.75i 0.926265 + 0.923181i
\(490\) 3490.14 19793.6i 0.321772 1.82486i
\(491\) −13866.9 + 5047.15i −1.27455 + 0.463900i −0.888627 0.458630i \(-0.848340\pi\)
−0.385927 + 0.922530i \(0.626118\pi\)
\(492\) −5796.25 497.367i −0.531128 0.0455753i
\(493\) 562.408 + 3189.58i 0.0513785 + 0.291382i
\(494\) 561.015 + 971.706i 0.0510956 + 0.0885002i
\(495\) −86.8323 26033.5i −0.00788449 2.36388i
\(496\) −637.293 + 1103.82i −0.0576922 + 0.0999258i
\(497\) −2000.24 728.029i −0.180530 0.0657074i
\(498\) −9422.86 + 6621.41i −0.847889 + 0.595808i
\(499\) −3359.38 2818.86i −0.301376 0.252884i 0.479541 0.877520i \(-0.340803\pi\)
−0.780917 + 0.624635i \(0.785248\pi\)
\(500\) −2979.83 2500.37i −0.266524 0.223640i
\(501\) −7262.06 3371.62i −0.647594 0.300664i
\(502\) 24414.5 + 8886.16i 2.17066 + 0.790057i
\(503\) −4598.51 + 7964.85i −0.407629 + 0.706034i −0.994624 0.103557i \(-0.966978\pi\)
0.586995 + 0.809591i \(0.300311\pi\)
\(504\) −424.008 501.904i −0.0374738 0.0443583i
\(505\) −4695.85 8133.44i −0.413787 0.716700i
\(506\) 9808.87 + 55628.9i 0.861774 + 4.88736i
\(507\) 6493.73 9307.00i 0.568830 0.815263i
\(508\) −16783.1 + 6108.55i −1.46581 + 0.533510i
\(509\) −1157.17 + 6562.61i −0.100767 + 0.571479i 0.892060 + 0.451917i \(0.149260\pi\)
−0.992827 + 0.119561i \(0.961851\pi\)
\(510\) −2993.62 + 11247.3i −0.259921 + 0.976549i
\(511\) 164.328 137.888i 0.0142259 0.0119370i
\(512\) −15637.0 −1.34974
\(513\) −10150.5 2665.46i −0.873598 0.229402i
\(514\) 3003.34 0.257727
\(515\) 12307.6 10327.3i 1.05308 0.883643i
\(516\) −14704.0 + 3966.21i −1.25447 + 0.338377i
\(517\) −3282.16 + 18614.1i −0.279206 + 1.58345i
\(518\) −1332.58 + 485.018i −0.113031 + 0.0411399i
\(519\) −7394.55 15788.9i −0.625404 1.33536i
\(520\) 51.9400 + 294.566i 0.00438023 + 0.0248415i
\(521\) −7880.24 13649.0i −0.662648 1.14774i −0.979917 0.199404i \(-0.936099\pi\)
0.317269 0.948335i \(-0.397234\pi\)
\(522\) −9939.05 1718.36i −0.833373 0.144082i
\(523\) 641.174 1110.55i 0.0536072 0.0928504i −0.837977 0.545706i \(-0.816261\pi\)
0.891584 + 0.452856i \(0.149595\pi\)
\(524\) −20415.7 7430.69i −1.70203 0.619487i
\(525\) 195.589 + 2193.46i 0.0162595 + 0.182344i
\(526\) 15790.1 + 13249.4i 1.30890 + 1.09830i
\(527\) −684.375 574.259i −0.0565690 0.0474670i
\(528\) 1538.03 + 17248.4i 0.126769 + 1.42167i
\(529\) −29869.4 10871.6i −2.45495 0.893530i
\(530\) 15905.4 27548.9i 1.30356 2.25782i
\(531\) 32.9519 + 89.6036i 0.00269301 + 0.00732291i
\(532\) 1525.27 + 2641.85i 0.124303 + 0.215298i
\(533\) 74.9970 + 425.329i 0.00609471 + 0.0345648i
\(534\) −6580.52 14050.8i −0.533272 1.13864i
\(535\) 7585.34 2760.84i 0.612977 0.223105i
\(536\) −182.638 + 1035.79i −0.0147178 + 0.0834688i
\(537\) 9937.17 2680.43i 0.798549 0.215398i
\(538\) −19831.5 + 16640.6i −1.58922 + 1.33351i
\(539\) 20960.4 1.67501
\(540\) −16047.5 11117.4i −1.27885 0.885955i
\(541\) 3014.37 0.239553 0.119776 0.992801i \(-0.461782\pi\)
0.119776 + 0.992801i \(0.461782\pi\)
\(542\) 9214.73 7732.08i 0.730270 0.612770i
\(543\) −2529.49 + 9503.55i −0.199909 + 0.751080i
\(544\) 1623.80 9209.05i 0.127978 0.725799i
\(545\) 5627.92 2048.39i 0.442337 0.160997i
\(546\) −194.765 + 279.143i −0.0152659 + 0.0218795i
\(547\) −1049.01 5949.21i −0.0819969 0.465027i −0.997964 0.0637747i \(-0.979686\pi\)
0.915967 0.401253i \(-0.131425\pi\)
\(548\) 8579.55 + 14860.2i 0.668796 + 1.15839i
\(549\) 9597.16 1725.26i 0.746078 0.134121i
\(550\) −13073.7 + 22644.3i −1.01357 + 1.75556i
\(551\) 6306.41 + 2295.35i 0.487590 + 0.177468i
\(552\) 5505.81 + 2556.23i 0.424534 + 0.197102i
\(553\) 1934.09 + 1622.89i 0.148727 + 0.124797i
\(554\) −357.485 299.965i −0.0274153 0.0230042i
\(555\) −4940.50 + 3471.67i −0.377861 + 0.265521i
\(556\) −20339.9 7403.10i −1.55144 0.564679i
\(557\) 6681.15 11572.1i 0.508240 0.880297i −0.491715 0.870756i \(-0.663630\pi\)
0.999954 0.00954076i \(-0.00303697\pi\)
\(558\) 2404.87 1399.17i 0.182448 0.106149i
\(559\) 565.314 + 979.152i 0.0427732 + 0.0740854i
\(560\) −581.995 3300.66i −0.0439174 0.249068i
\(561\) −12093.3 1037.71i −0.910127 0.0780966i
\(562\) −4511.04 + 1641.88i −0.338589 + 0.123236i
\(563\) −3926.41 + 22267.8i −0.293923 + 1.66692i 0.377626 + 0.925958i \(0.376741\pi\)
−0.671549 + 0.740960i \(0.734371\pi\)
\(564\) 10039.1 + 10005.6i 0.749505 + 0.747009i
\(565\) −294.185 + 246.850i −0.0219052 + 0.0183806i
\(566\) 2506.95 0.186175
\(567\) −573.730 3131.48i −0.0424945 0.231940i
\(568\) −2716.03 −0.200638
\(569\) 667.823 560.370i 0.0492032 0.0412864i −0.617854 0.786292i \(-0.711998\pi\)
0.667058 + 0.745006i \(0.267553\pi\)
\(570\) 17081.8 + 17025.0i 1.25523 + 1.25105i
\(571\) 1593.49 9037.15i 0.116787 0.662334i −0.869062 0.494703i \(-0.835277\pi\)
0.985850 0.167632i \(-0.0536119\pi\)
\(572\) −2045.41 + 744.469i −0.149516 + 0.0544193i
\(573\) 3521.72 + 302.194i 0.256758 + 0.0220320i
\(574\) 378.580 + 2147.04i 0.0275290 + 0.156125i
\(575\) −10172.8 17619.8i −0.737802 1.27791i
\(576\) 15616.1 + 8946.65i 1.12964 + 0.647182i
\(577\) −8210.92 + 14221.7i −0.592418 + 1.02610i 0.401488 + 0.915864i \(0.368493\pi\)
−0.993906 + 0.110234i \(0.964840\pi\)
\(578\) −14124.4 5140.86i −1.01643 0.369951i
\(579\) 10025.1 7044.62i 0.719569 0.505638i
\(580\) 9563.43 + 8024.67i 0.684655 + 0.574494i
\(581\) 1780.69 + 1494.18i 0.127152 + 0.106693i
\(582\) −6522.65 3028.33i −0.464558 0.215684i
\(583\) 31173.6 + 11346.3i 2.21454 + 0.806027i
\(584\) 136.857 237.043i 0.00969721 0.0167961i
\(585\) −491.152 + 1363.56i −0.0347122 + 0.0963699i
\(586\) 6823.05 + 11817.9i 0.480986 + 0.833092i
\(587\) −380.601 2158.50i −0.0267616 0.151773i 0.968499 0.249018i \(-0.0801079\pi\)
−0.995260 + 0.0972455i \(0.968997\pi\)
\(588\) 8993.95 12890.4i 0.630789 0.904066i
\(589\) −1739.57 + 633.150i −0.121694 + 0.0442929i
\(590\) 38.0977 216.063i 0.00265841 0.0150766i
\(591\) 1972.78 7411.93i 0.137308 0.515881i
\(592\) 3076.82 2581.76i 0.213609 0.179239i
\(593\) 23259.5 1.61071 0.805357 0.592790i \(-0.201974\pi\)
0.805357 + 0.592790i \(0.201974\pi\)
\(594\) 15803.6 34338.5i 1.09163 2.37193i
\(595\) 2349.20 0.161862
\(596\) 469.561 394.009i 0.0322718 0.0270792i
\(597\) −21105.2 + 5692.87i −1.44687 + 0.390274i
\(598\) 546.071 3096.92i 0.0373420 0.211777i
\(599\) 10362.4 3771.59i 0.706836 0.257267i 0.0365091 0.999333i \(-0.488376\pi\)
0.670327 + 0.742066i \(0.266154\pi\)
\(600\) 1191.75 + 2544.63i 0.0810884 + 0.173140i
\(601\) −2590.04 14688.8i −0.175790 0.996956i −0.937228 0.348718i \(-0.886617\pi\)
0.761438 0.648238i \(-0.224494\pi\)
\(602\) 2853.67 + 4942.70i 0.193201 + 0.334634i
\(603\) −3262.79 + 3914.88i −0.220350 + 0.264389i
\(604\) 601.368 1041.60i 0.0405121 0.0701690i
\(605\) −39991.0 14555.5i −2.68738 0.978127i
\(606\) −1211.16 13582.7i −0.0811884 0.910497i
\(607\) −19305.6 16199.3i −1.29092 1.08321i −0.991639 0.129046i \(-0.958809\pi\)
−0.299281 0.954165i \(-0.596747\pi\)
\(608\) −14843.4 12455.1i −0.990095 0.830788i
\(609\) 180.819 + 2027.82i 0.0120315 + 0.134928i
\(610\) −21056.9 7664.08i −1.39765 0.508704i
\(611\) 526.126 911.276i 0.0348359 0.0603376i
\(612\) −5827.34 + 6991.98i −0.384896 + 0.461820i
\(613\) 8169.19 + 14149.4i 0.538255 + 0.932285i 0.998998 + 0.0447517i \(0.0142497\pi\)
−0.460743 + 0.887534i \(0.652417\pi\)
\(614\) −3584.45 20328.4i −0.235597 1.33614i
\(615\) 3937.27 + 8406.86i 0.258156 + 0.551215i
\(616\) −1479.65 + 538.548i −0.0967804 + 0.0352252i
\(617\) 260.152 1475.40i 0.0169746 0.0962677i −0.975143 0.221574i \(-0.928880\pi\)
0.992118 + 0.125307i \(0.0399915\pi\)
\(618\) 22523.3 6075.38i 1.46605 0.395449i
\(619\) 2950.08 2475.42i 0.191557 0.160736i −0.541965 0.840401i \(-0.682319\pi\)
0.733522 + 0.679665i \(0.237875\pi\)
\(620\) −3443.65 −0.223065
\(621\) 16991.0 + 24009.1i 1.09795 + 1.55146i
\(622\) −13822.8 −0.891070
\(623\) −2398.97 + 2012.97i −0.154274 + 0.129451i
\(624\) 247.960 931.612i 0.0159076 0.0597666i
\(625\) −3184.34 + 18059.3i −0.203797 + 1.15579i
\(626\) −7202.63 + 2621.54i −0.459864 + 0.167377i
\(627\) −14391.6 + 20626.5i −0.916659 + 1.31378i
\(628\) −2414.56 13693.6i −0.153426 0.870120i
\(629\) 1407.63 + 2438.09i 0.0892304 + 0.154552i
\(630\) −2479.31 + 6883.18i −0.156790 + 0.435290i
\(631\) 2206.90 3822.46i 0.139232 0.241157i −0.787974 0.615708i \(-0.788870\pi\)
0.927206 + 0.374552i \(0.122203\pi\)
\(632\) 3027.24 + 1101.83i 0.190533 + 0.0693485i
\(633\) −12219.1 5673.09i −0.767246 0.356216i
\(634\) 23842.6 + 20006.3i 1.49355 + 1.25324i
\(635\) 21832.2 + 18319.4i 1.36438 + 1.14485i
\(636\) 20354.1 14302.8i 1.26902 0.891732i
\(637\) −1096.52 399.099i −0.0682034 0.0248240i
\(638\) −12086.4 + 20934.3i −0.750009 + 1.29905i
\(639\) −11419.1 6542.15i −0.706938 0.405013i
\(640\) −5239.77 9075.54i −0.323625 0.560535i
\(641\) −1449.87 8222.63i −0.0893393 0.506668i −0.996336 0.0855297i \(-0.972742\pi\)
0.906996 0.421138i \(-0.138369\pi\)
\(642\) 11677.8 + 1002.05i 0.717888 + 0.0616009i
\(643\) 14772.6 5376.79i 0.906025 0.329766i 0.153361 0.988170i \(-0.450990\pi\)
0.752665 + 0.658404i \(0.228768\pi\)
\(644\) 1484.64 8419.84i 0.0908435 0.515199i
\(645\) 17212.8 + 17155.4i 1.05078 + 1.04728i
\(646\) 8613.60 7227.67i 0.524609 0.440199i
\(647\) −19577.5 −1.18960 −0.594800 0.803874i \(-0.702769\pi\)
−0.594800 + 0.803874i \(0.702769\pi\)
\(648\) −2054.51 3504.31i −0.124550 0.212442i
\(649\) 228.800 0.0138385
\(650\) 1115.09 935.676i 0.0672886 0.0564619i
\(651\) −397.755 396.430i −0.0239466 0.0238669i
\(652\) 4413.09 25027.9i 0.265077 1.50332i
\(653\) −3191.76 + 1161.70i −0.191276 + 0.0696187i −0.435882 0.900004i \(-0.643564\pi\)
0.244606 + 0.969623i \(0.421341\pi\)
\(654\) 8664.27 + 743.468i 0.518043 + 0.0444524i
\(655\) 6020.11 + 34141.8i 0.359123 + 2.03669i
\(656\) −3087.45 5347.62i −0.183757 0.318276i
\(657\) 1146.36 666.959i 0.0680727 0.0396051i
\(658\) 2655.85 4600.07i 0.157349 0.272537i
\(659\) 11809.4 + 4298.27i 0.698072 + 0.254077i 0.666587 0.745427i \(-0.267754\pi\)
0.0314843 + 0.999504i \(0.489977\pi\)
\(660\) −38280.2 + 26899.3i −2.25766 + 1.58645i
\(661\) −8415.67 7061.59i −0.495207 0.415528i 0.360681 0.932689i \(-0.382544\pi\)
−0.855888 + 0.517161i \(0.826989\pi\)
\(662\) 29559.7 + 24803.5i 1.73545 + 1.45622i
\(663\) 612.889 + 284.551i 0.0359014 + 0.0166683i
\(664\) 2787.14 + 1014.43i 0.162894 + 0.0592887i
\(665\) 2433.91 4215.66i 0.141929 0.245829i
\(666\) −8629.22 + 1551.26i −0.502065 + 0.0902553i
\(667\) −9404.61 16289.3i −0.545949 0.945611i
\(668\) 2498.62 + 14170.4i 0.144722 + 0.820759i
\(669\) −8112.47 + 11627.0i −0.468828 + 0.671939i
\(670\) 11005.2 4005.57i 0.634580 0.230968i
\(671\) 4057.94 23013.7i 0.233465 1.32405i
\(672\) 1511.87 5680.25i 0.0867882 0.326072i
\(673\) −13361.5 + 11211.6i −0.765300 + 0.642163i −0.939501 0.342547i \(-0.888710\pi\)
0.174200 + 0.984710i \(0.444266\pi\)
\(674\) −44227.4 −2.52756
\(675\) −1118.76 + 13569.1i −0.0637943 + 0.773738i
\(676\) −20394.9 −1.16038
\(677\) 1396.54 1171.83i 0.0792811 0.0665248i −0.602286 0.798280i \(-0.705743\pi\)
0.681567 + 0.731756i \(0.261299\pi\)
\(678\) −538.367 + 145.218i −0.0304953 + 0.00822574i
\(679\) −252.052 + 1429.46i −0.0142457 + 0.0807916i
\(680\) 2816.72 1025.20i 0.158848 0.0578158i
\(681\) 6727.92 + 14365.5i 0.378582 + 0.808349i
\(682\) −1157.86 6566.56i −0.0650100 0.368690i
\(683\) −3996.62 6922.34i −0.223904 0.387813i 0.732086 0.681212i \(-0.238547\pi\)
−0.955990 + 0.293399i \(0.905213\pi\)
\(684\) 6509.69 + 17701.3i 0.363895 + 0.989512i
\(685\) 13690.6 23712.7i 0.763634 1.32265i
\(686\) −11396.2 4147.87i −0.634269 0.230855i
\(687\) −1655.67 18567.7i −0.0919471 1.03115i
\(688\) −12383.1 10390.7i −0.686194 0.575785i
\(689\) −1414.77 1187.13i −0.0782268 0.0656401i
\(690\) −6003.40 67325.8i −0.331225 3.71456i
\(691\) −4622.33 1682.39i −0.254474 0.0926210i 0.211633 0.977349i \(-0.432122\pi\)
−0.466107 + 0.884728i \(0.654344\pi\)
\(692\) −15666.3 + 27134.8i −0.860611 + 1.49062i
\(693\) −7518.15 1299.81i −0.412108 0.0712493i
\(694\) −7998.89 13854.5i −0.437513 0.757794i
\(695\) 5997.76 + 34015.0i 0.327350 + 1.85649i
\(696\) 1101.75 + 2352.47i 0.0600027 + 0.128118i
\(697\) 4067.11 1480.31i 0.221023 0.0804457i
\(698\) −319.352 + 1811.14i −0.0173176 + 0.0982127i
\(699\) −23721.4 + 6398.54i −1.28358 + 0.346231i
\(700\) 3031.69 2543.89i 0.163696 0.137357i
\(701\) 31745.0 1.71040 0.855202 0.518295i \(-0.173433\pi\)
0.855202 + 0.518295i \(0.173433\pi\)
\(702\) −1480.57 + 1495.46i −0.0796020 + 0.0804025i
\(703\) 5833.56 0.312968
\(704\) 33040.7 27724.5i 1.76885 1.48424i
\(705\) 5817.36 21856.4i 0.310772 1.16760i
\(706\) −7768.54 + 44057.6i −0.414126 + 2.34862i
\(707\) −2586.43 + 941.383i −0.137585 + 0.0500769i
\(708\) 98.1763 140.709i 0.00521143 0.00746917i
\(709\) 1939.44 + 10999.1i 0.102732 + 0.582623i 0.992102 + 0.125434i \(0.0400324\pi\)
−0.889370 + 0.457188i \(0.848857\pi\)
\(710\) 15121.6 + 26191.4i 0.799302 + 1.38443i
\(711\) 10073.5 + 11924.2i 0.531347 + 0.628962i
\(712\) −1997.92 + 3460.50i −0.105162 + 0.182146i
\(713\) 4875.46 + 1774.52i 0.256083 + 0.0932067i
\(714\) 3093.82 + 1436.40i 0.162162 + 0.0752883i
\(715\) 2660.76 + 2232.64i 0.139170 + 0.116778i
\(716\) −14169.4 11889.5i −0.739572 0.620575i
\(717\) −17083.2 + 12004.3i −0.889796 + 0.625256i
\(718\) 46353.1 + 16871.2i 2.40931 + 0.876916i
\(719\) −6886.08 + 11927.0i −0.357173 + 0.618642i −0.987487 0.157698i \(-0.949593\pi\)
0.630314 + 0.776340i \(0.282926\pi\)
\(720\) −69.1141 20721.4i −0.00357740 1.07255i
\(721\) −2354.30 4077.76i −0.121607 0.210629i
\(722\) 913.542 + 5180.95i 0.0470893 + 0.267057i
\(723\) −8372.73 718.451i −0.430685 0.0369564i
\(724\) 16608.0 6044.81i 0.852528 0.310295i
\(725\) 1511.89 8574.35i 0.0774485 0.439232i
\(726\) −43767.1 43621.4i −2.23740 2.22995i
\(727\) −9218.25 + 7735.03i −0.470270 + 0.394603i −0.846893 0.531763i \(-0.821530\pi\)
0.376623 + 0.926366i \(0.377085\pi\)
\(728\) 87.6602 0.00446278
\(729\) −196.948 19682.0i −0.0100060 0.999950i
\(730\) −3047.82 −0.154527
\(731\) 8679.61 7283.06i 0.439161 0.368500i
\(732\) −12411.9 12370.6i −0.626719 0.624632i
\(733\) 3590.23 20361.2i 0.180912 1.02600i −0.750185 0.661228i \(-0.770035\pi\)
0.931096 0.364773i \(-0.118853\pi\)
\(734\) 5022.28 1827.96i 0.252555 0.0919227i
\(735\) −24989.6 2144.32i −1.25409 0.107611i
\(736\) 9430.24 + 53481.6i 0.472287 + 2.67847i
\(737\) 6106.75 + 10577.2i 0.305217 + 0.528652i
\(738\) 44.9579 + 13479.0i 0.00224244 + 0.672315i
\(739\) 10970.6 19001.6i 0.546087 0.945851i −0.452450 0.891790i \(-0.649450\pi\)
0.998538 0.0540615i \(-0.0172167\pi\)
\(740\) 10197.2 + 3711.49i 0.506565 + 0.184375i
\(741\) 1145.62 805.022i 0.0567954 0.0399099i
\(742\) −7141.65 5992.55i −0.353340 0.296487i
\(743\) 3377.79 + 2834.30i 0.166782 + 0.139947i 0.722359 0.691519i \(-0.243058\pi\)
−0.555577 + 0.831465i \(0.687502\pi\)
\(744\) −649.918 301.743i −0.0320257 0.0148689i
\(745\) −919.138 334.539i −0.0452008 0.0164518i
\(746\) 12311.3 21323.7i 0.604219 1.04654i
\(747\) 9274.58 + 10978.4i 0.454269 + 0.537724i
\(748\) 10906.7 + 18890.9i 0.533137 + 0.923421i
\(749\) −410.800 2329.76i −0.0200405 0.113655i
\(750\) −5157.18 + 7391.42i −0.251085 + 0.359862i
\(751\) 20340.3 7403.28i 0.988322 0.359720i 0.203252 0.979127i \(-0.434849\pi\)
0.785070 + 0.619407i \(0.212627\pi\)
\(752\) −2612.43 + 14815.8i −0.126683 + 0.718455i
\(753\) 8339.23 31331.3i 0.403584 1.51631i
\(754\) 1030.89 865.017i 0.0497914 0.0417799i
\(755\) −1919.23 −0.0925138
\(756\) −4025.34 + 4065.83i −0.193651 + 0.195599i
\(757\) −31885.6 −1.53091 −0.765456 0.643488i \(-0.777487\pi\)
−0.765456 + 0.643488i \(0.777487\pi\)
\(758\) 20377.2 17098.5i 0.976431 0.819323i
\(759\) 68057.8 18357.7i 3.25473 0.877922i
\(760\) 1078.56 6116.80i 0.0514781 0.291947i
\(761\) 13996.8 5094.42i