Properties

Label 27.4.e.a.16.2
Level 27
Weight 4
Character 27.16
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 16.2
Character \(\chi\) = 27.16
Dual form 27.4.e.a.22.2

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

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

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 −0.128776 0.991674i \(-0.541105\pi\)
−0.998970 + 0.0453825i \(0.985549\pi\)
\(3\) 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 −0.371205 0.928551i \(-0.621055\pi\)
−0.881220 + 0.472706i \(0.843277\pi\)
\(6\) −21.5571 + 1.84978i −1.46678 + 0.125862i
\(7\) 0.758337 4.30074i 0.0409463 0.232218i −0.957466 0.288546i \(-0.906828\pi\)
0.998412 + 0.0563279i \(0.0179392\pi\)
\(8\) 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 0.675273 0.737568i \(-0.264026\pi\)
0.991389 + 0.130953i \(0.0418037\pi\)
\(12\) 39.7011 + 27.8978i 0.955060 + 0.671117i
\(13\) −2.75952 + 2.31552i −0.0588734 + 0.0494007i −0.671750 0.740778i \(-0.734457\pi\)
0.612876 + 0.790179i \(0.290012\pi\)
\(14\) −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 0.708060 0.706152i \(-0.249571\pi\)
−0.965576 + 0.260122i \(0.916237\pi\)
\(18\) −72.5528 + 85.8817i −0.950047 + 1.12458i
\(19\) 37.4017 64.7817i 0.451608 0.782207i −0.546878 0.837212i \(-0.684184\pi\)
0.998486 + 0.0550047i \(0.0175174\pi\)
\(20\) 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 0.471539 + 0.881845i \(0.343699\pi\)
−0.141493 + 0.989939i \(0.545190\pi\)
\(24\) −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 0.835739 0.549126i \(-0.185039\pi\)
−0.395659 + 0.918397i \(0.629484\pi\)
\(30\) 311.282 + 83.9644i 1.89440 + 0.510991i
\(31\) −4.29738 24.3717i −0.0248978 0.141203i 0.969825 0.243803i \(-0.0783949\pi\)
−0.994723 + 0.102600i \(0.967284\pi\)
\(32\) −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 0.939555 0.342398i \(-0.111239\pi\)
−0.766303 + 0.642480i \(0.777906\pi\)
\(38\) −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 −0.800727 0.599030i \(-0.795553\pi\)
0.450885 + 0.892582i \(0.351109\pi\)
\(42\) −8.39213 + 94.1145i −0.0308317 + 0.345766i
\(43\) −294.934 + 107.347i −1.04598 + 0.380705i −0.807143 0.590355i \(-0.798988\pi\)
−0.238835 + 0.971060i \(0.576765\pi\)
\(44\) 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 −0.799118 0.601174i \(-0.794700\pi\)
0.956539 0.291604i \(-0.0941891\pi\)
\(48\) 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 0.345683 0.938351i \(-0.387647\pi\)
−0.338352 + 0.941020i \(0.609869\pi\)
\(60\) −413.735 592.977i −0.890216 1.27588i
\(61\) −62.7127 + 355.661i −0.131632 + 0.746521i 0.845514 + 0.533953i \(0.179294\pi\)
−0.977146 + 0.212568i \(0.931817\pi\)
\(62\) −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 −0.501372 0.865232i \(-0.667171\pi\)
0.765025 + 0.644001i \(0.222727\pi\)
\(68\) 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 0.587225 0.809423i \(-0.300220\pi\)
−0.994594 + 0.103840i \(0.966887\pi\)
\(72\) −130.042 75.6595i −0.212856 0.123841i
\(73\) −24.5604 + 42.5399i −0.0393778 + 0.0682044i −0.885043 0.465510i \(-0.845871\pi\)
0.845665 + 0.533714i \(0.179204\pi\)
\(74\) 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 0.901156 0.433495i \(-0.142720\pi\)
−0.270425 + 0.962741i \(0.587164\pi\)
\(80\) −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 0.871277 0.490792i \(-0.163293\pi\)
−0.332040 + 0.943265i \(0.607737\pi\)
\(84\) 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 −0.569573 0.821941i \(-0.692892\pi\)
0.996608 + 0.0822947i \(0.0262249\pi\)
\(90\) 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 −0.173340 0.984862i \(-0.555456\pi\)
0.500271 + 0.865869i \(0.333234\pi\)
\(98\) −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 −0.882232 0.470814i \(-0.843960\pi\)
0.990055 0.140680i \(-0.0449288\pi\)
\(102\) 446.937 + 640.563i 0.433856 + 0.621815i
\(103\) −1013.18 368.766i −0.969235 0.352773i −0.191589 0.981475i \(-0.561364\pi\)
−0.777646 + 0.628703i \(0.783586\pi\)
\(104\) 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 0.352081 0.935970i \(-0.385474\pi\)
−0.331920 + 0.943308i \(0.607696\pi\)
\(114\) −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 0.310246 + 0.950656i \(0.399588\pi\)
−0.978416 + 0.206647i \(0.933745\pi\)
\(128\) 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 0.756059 + 0.654503i \(0.227122\pi\)
−0.486610 + 0.873619i \(0.661767\pi\)
\(132\) 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 0.0879130 0.996128i \(-0.471980\pi\)
−0.965729 + 0.259553i \(0.916425\pi\)
\(138\) −1166.71 4383.46i −0.719691 2.70395i
\(139\) 402.502 + 2282.70i 0.245610 + 1.39292i 0.819072 + 0.573691i \(0.194489\pi\)
−0.573462 + 0.819232i \(0.694400\pi\)
\(140\) −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 −0.628859 0.777519i \(-0.716478\pi\)
0.656506 + 0.754320i \(0.272033\pi\)
\(150\) −1717.97 1207.21i −0.935145 0.657123i
\(151\) 121.030 44.0512i 0.0652268 0.0237406i −0.309201 0.950997i \(-0.600061\pi\)
0.374428 + 0.927256i \(0.377839\pi\)
\(152\) −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 0.672218 0.740353i \(-0.265342\pi\)
0.0390593 + 0.999237i \(0.487564\pi\)
\(158\) −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 −0.0159808 0.999872i \(-0.505087\pi\)
−0.654947 + 0.755674i \(0.727309\pi\)
\(168\) −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 −0.923881 0.382680i \(-0.875001\pi\)
−0.461752 + 0.887009i \(0.652779\pi\)
\(174\) −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 0.995274 0.0971019i \(-0.0309573\pi\)
−0.581730 + 0.813382i \(0.697624\pi\)
\(180\) −3697.79 664.745i −1.53121 0.275262i
\(181\) 946.317 1639.07i 0.388614 0.673100i −0.603649 0.797250i \(-0.706287\pi\)
0.992263 + 0.124150i \(0.0396205\pi\)
\(182\) 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 0.736135 0.676835i \(-0.236649\pi\)
−0.538724 + 0.842482i \(0.681093\pi\)
\(192\) 3344.08 + 902.022i 1.25697 + 0.339051i
\(193\) 409.470 + 2322.22i 0.152717 + 0.866098i 0.960844 + 0.277090i \(0.0893702\pi\)
−0.808127 + 0.589008i \(0.799519\pi\)
\(194\) −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 −0.968065 0.250699i \(-0.919340\pi\)
0.701144 + 0.713020i \(0.252673\pi\)
\(198\) −2510.89 + 6827.67i −0.901218 + 2.45061i
\(199\) −2103.44 3643.26i −0.749289 1.29781i −0.948164 0.317782i \(-0.897062\pi\)
0.198875 0.980025i \(-0.436271\pi\)
\(200\) 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 −0.0875237 0.996162i \(-0.527895\pi\)
−0.707368 + 0.706846i \(0.750118\pi\)
\(212\) 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 −0.827240 0.561849i \(-0.810090\pi\)
0.969515 0.245033i \(-0.0787988\pi\)
\(224\) −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 0.113322 0.993558i \(-0.463851\pi\)
0.725457 + 0.688268i \(0.241629\pi\)
\(228\) 3292.16 1528.48i 0.956265 0.443974i
\(229\) −2748.21 + 2306.02i −0.793042 + 0.665441i −0.946496 0.322715i \(-0.895405\pi\)
0.153455 + 0.988156i \(0.450960\pi\)
\(230\) −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 −0.979358 0.202131i \(-0.935213\pi\)
0.314629 0.949215i \(-0.398120\pi\)
\(234\) 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 −0.920916 0.389762i \(-0.872557\pi\)
0.732071 0.681228i \(-0.238554\pi\)
\(240\) −2824.53 + 2815.13i −0.759679 + 0.757149i
\(241\) −1238.89 1039.55i −0.331136 0.277856i 0.462026 0.886866i \(-0.347123\pi\)
−0.793163 + 0.609010i \(0.791567\pi\)
\(242\) −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 0.144721 + 0.989473i \(0.453772\pi\)
−0.929269 + 0.369404i \(0.879562\pi\)
\(252\) 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 −0.707375 0.706839i \(-0.750121\pi\)
0.573266 + 0.819369i \(0.305676\pi\)
\(258\) 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 0.701248 + 0.712917i \(0.252626\pi\)
−0.902790 + 0.430082i \(0.858485\pi\)
\(264\) −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 −0.982624 0.185606i \(-0.940575\pi\)
0.986846 + 0.161665i \(0.0516864\pi\)
\(278\) 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 −0.224453 0.974485i \(-0.572059\pi\)
0.454446 + 0.890774i \(0.349837\pi\)
\(282\) −561.331 + 6295.11i −0.118535 + 1.32932i
\(283\) −461.208 + 387.000i −0.0968763 + 0.0812888i −0.689939 0.723867i \(-0.742363\pi\)
0.593063 + 0.805156i \(0.297918\pi\)
\(284\) 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 0.987497 + 0.157637i \(0.0503877\pi\)
−0.874029 + 0.485875i \(0.838501\pi\)
\(294\) −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 0.538201 0.842816i \(-0.319104\pi\)
−0.999001 + 0.0446877i \(0.985771\pi\)
\(308\) 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 −0.380810 0.924653i \(-0.624355\pi\)
0.844479 + 0.535589i \(0.179910\pi\)
\(312\) 85.3392 + 59.9675i 0.0154852 + 0.0108814i
\(313\) 1729.77 629.585i 0.312372 0.113694i −0.181077 0.983469i \(-0.557958\pi\)
0.493449 + 0.869775i \(0.335736\pi\)
\(314\) −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 0.622970 + 0.782246i \(0.285926\pi\)
−0.852944 + 0.522002i \(0.825185\pi\)
\(318\) −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 0.495411 + 0.868659i \(0.335018\pi\)
−0.762633 + 0.646832i \(0.776094\pi\)
\(332\) −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 0.327923 0.944704i \(-0.393651\pi\)
0.987296 0.158895i \(-0.0507931\pi\)
\(338\) 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 −0.991919 0.126872i \(-0.959506\pi\)
0.888706 0.458477i \(-0.151605\pi\)
\(348\) 1119.71 + 4206.86i 0.172479 + 0.648021i
\(349\) 338.338 + 283.900i 0.0518935 + 0.0435438i 0.668366 0.743833i \(-0.266994\pi\)
−0.616472 + 0.787377i \(0.711439\pi\)
\(350\) −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 0.997448 + 0.0713940i \(0.0227448\pi\)
0.243514 + 0.969897i \(0.421700\pi\)
\(354\) −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 −0.00963217 + 0.999954i \(0.503066\pi\)
−0.861169 + 0.508319i \(0.830267\pi\)
\(360\) 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 −0.426369 0.904549i \(-0.640207\pi\)
0.254816 + 0.966990i \(0.417985\pi\)
\(368\) 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 −0.0737905 0.997274i \(-0.523510\pi\)
−0.697562 + 0.716524i \(0.745732\pi\)
\(374\) 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 −0.625884 0.779916i \(-0.715262\pi\)
−0.980775 + 0.195140i \(0.937484\pi\)
\(384\) −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 0.130766 0.991413i \(-0.458256\pi\)
0.737441 + 0.675412i \(0.236034\pi\)
\(390\) −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 −0.305589 0.952163i \(-0.598853\pi\)
0.977392 0.211434i \(-0.0678133\pi\)
\(398\) −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 0.893690 + 0.448685i \(0.148107\pi\)
−0.686335 + 0.727286i \(0.740781\pi\)
\(402\) −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 −0.825950 0.563743i \(-0.809361\pi\)
0.583328 0.812237i \(-0.301750\pi\)
\(410\) −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 −0.0798765 0.996805i \(-0.525453\pi\)
0.967791 + 0.251756i \(0.0810082\pi\)
\(420\) −2863.99 + 1329.69i −0.332734 + 0.154482i
\(421\) −9063.27 + 3298.76i −1.04921 + 0.381881i −0.808364 0.588683i \(-0.799647\pi\)
−0.240845 + 0.970564i \(0.577424\pi\)
\(422\) 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 −0.892254 0.451534i \(-0.850877\pi\)
0.992878 0.119134i \(-0.0380120\pi\)
\(440\) −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 0.00240350 0.999997i \(-0.499235\pi\)
0.644627 + 0.764497i \(0.277013\pi\)
\(444\) −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 −0.907824 0.419351i \(-0.862258\pi\)
0.0907432 0.995874i \(-0.471076\pi\)
\(450\) −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 0.948156 + 0.317807i \(0.102946\pi\)
0.477624 + 0.878564i \(0.341498\pi\)
\(458\) 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 −0.159934 0.987128i \(-0.551128\pi\)
−0.999903 + 0.0139089i \(0.995573\pi\)
\(462\) 1572.57 + 5908.32i 0.158361 + 0.594978i
\(463\) −1011.90 5738.76i −0.101570 0.576032i −0.992535 0.121960i \(-0.961082\pi\)
0.890965 0.454072i \(-0.150029\pi\)
\(464\) 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 −0.449150 0.893456i \(-0.648273\pi\)
0.998331 0.0577523i \(-0.0183934\pi\)
\(468\) −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 0.923661 + 0.383210i \(0.125181\pi\)
−0.999023 + 0.0441884i \(0.985930\pi\)
\(480\) 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 −0.385927 0.922530i \(-0.626118\pi\)
−0.888627 + 0.458630i \(0.848340\pi\)
\(492\) −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 −0.780917 0.624635i \(-0.785248\pi\)
0.479541 + 0.877520i \(0.340803\pi\)
\(500\) −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 0.586995 0.809591i \(-0.300311\pi\)
−0.994624 + 0.103557i \(0.966978\pi\)
\(504\) −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 −0.992827 0.119561i \(-0.961851\pi\)
0.892060 0.451917i \(-0.149260\pi\)
\(510\) −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 0.317269 + 0.948335i \(0.397234\pi\)
−0.979917 + 0.199404i \(0.936099\pi\)
\(522\) −9939.05 + 1718.36i −0.833373 + 0.144082i
\(523\) 641.174 + 1110.55i 0.0536072 + 0.0928504i 0.891584 0.452856i \(-0.149595\pi\)
−0.837977 + 0.545706i \(0.816261\pi\)
\(524\) −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 0.915967 + 0.401253i \(0.131425\pi\)
−0.997964 + 0.0637747i \(0.979686\pi\)
\(548\) 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 0.999954 + 0.00954076i \(0.00303697\pi\)
−0.491715 + 0.870756i \(0.663630\pi\)
\(558\) 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 −0.671549 0.740960i \(-0.734371\pi\)
0.377626 0.925958i \(-0.376741\pi\)
\(564\) 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 0.667058 0.745006i \(-0.267553\pi\)
−0.617854 + 0.786292i \(0.711998\pi\)
\(570\) 17081.8 17025.0i 1.25523 1.25105i
\(571\) 1593.49 + 9037.15i 0.116787 + 0.662334i 0.985850 + 0.167632i \(0.0536119\pi\)
−0.869062 + 0.494703i \(0.835277\pi\)
\(572\) −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 −0.993906 0.110234i \(-0.964840\pi\)
0.401488 0.915864i \(-0.368493\pi\)
\(578\) −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 −0.995260 0.0972455i \(-0.968997\pi\)
0.968499 + 0.249018i \(0.0801079\pi\)
\(588\) 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 0.670327 0.742066i \(-0.266154\pi\)
0.0365091 + 0.999333i \(0.488376\pi\)
\(600\) 1191.75 2544.63i 0.0810884 0.173140i
\(601\) −2590.04 + 14688.8i −0.175790 + 0.996956i 0.761438 + 0.648238i \(0.224494\pi\)
−0.937228 + 0.348718i \(0.886617\pi\)
\(602\) 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 −0.299281 + 0.954165i \(0.596747\pi\)
−0.991639 + 0.129046i \(0.958809\pi\)
\(608\) −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 −0.460743 0.887534i \(-0.652417\pi\)
0.998998 0.0447517i \(-0.0142497\pi\)
\(614\) −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 0.992118 0.125307i \(-0.0399915\pi\)
−0.975143 + 0.221574i \(0.928880\pi\)
\(618\) 22523.3 + 6075.38i 1.46605 + 0.395449i
\(619\) 2950.08 + 2475.42i 0.191557 + 0.160736i 0.733522 0.679665i \(-0.237875\pi\)
−0.541965 + 0.840401i \(0.682319\pi\)
\(620\) −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 0.927206 0.374552i \(-0.122203\pi\)
−0.787974 + 0.615708i \(0.788870\pi\)
\(632\) 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 0.906996 + 0.421138i \(0.138369\pi\)
−0.996336 + 0.0855297i \(0.972742\pi\)
\(642\) 11677.8 1002.05i 0.717888 0.0616009i
\(643\) 14772.6 + 5376.79i 0.906025 + 0.329766i 0.752665 0.658404i \(-0.228768\pi\)
0.153361 + 0.988170i \(0.450990\pi\)
\(644\) 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 0.244606 0.969623i \(-0.421341\pi\)
−0.435882 + 0.900004i \(0.643564\pi\)
\(654\) 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 0.0314843 0.999504i \(-0.489977\pi\)
0.666587 + 0.745427i \(0.267754\pi\)
\(660\) −38280.2 26899.3i −2.25766 1.58645i
\(661\) −8415.67 + 7061.59i −0.495207 + 0.415528i −0.855888 0.517161i \(-0.826989\pi\)
0.360681 + 0.932689i \(0.382544\pi\)
\(662\) 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 0.174200 0.984710i \(-0.444266\pi\)
−0.939501 + 0.342547i \(0.888710\pi\)
\(674\) −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 0.681567 0.731756i \(-0.261299\pi\)
−0.602286 + 0.798280i \(0.705743\pi\)
\(678\) −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 −0.955990 0.293399i \(-0.905213\pi\)
0.732086 + 0.681212i \(0.238547\pi\)
\(684\) 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 −0.466107 0.884728i \(-0.654344\pi\)
0.211633 + 0.977349i \(0.432122\pi\)
\(692\) −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 −0.889370 0.457188i \(-0.848857\pi\)
0.992102 0.125434i \(-0.0400324\pi\)
\(710\) 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 0.630314 0.776340i \(-0.282926\pi\)
−0.987487 + 0.157698i \(0.949593\pi\)
\(720\) −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 0.376623 0.926366i \(-0.377085\pi\)
−0.846893 + 0.531763i \(0.821530\pi\)
\(728\) 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 0.931096 + 0.364773i \(0.118853\pi\)
−0.750185 + 0.661228i \(0.770035\pi\)
\(734\) 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 0.998538 + 0.0540615i \(0.0172167\pi\)
−0.452450 + 0.891790i \(0.649450\pi\)
\(740\) 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 −0.555577 0.831465i \(-0.687502\pi\)
0.722359 + 0.691519i \(0.243058\pi\)
\(744\) −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 0.785070 0.619407i \(-0.212627\pi\)
0.203252 + 0.979127i \(0.434849\pi\)
\(752\) −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 0.666733 +