Properties

Label 27.4.e.a.4.3
Level 27
Weight 4
Character 27.4
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.12171 - 0.772239i) q^{2} +(-0.789571 + 5.13581i) q^{3} +(-2.22306 - 1.86537i) q^{4} +(-3.33920 + 18.9376i) q^{5} +(5.64131 - 10.2870i) q^{6} +(0.500915 - 0.420318i) q^{7} +(12.3077 + 21.3175i) q^{8} +(-25.7532 - 8.11018i) q^{9} +O(q^{10})\) \(q+(-2.12171 - 0.772239i) q^{2} +(-0.789571 + 5.13581i) q^{3} +(-2.22306 - 1.86537i) q^{4} +(-3.33920 + 18.9376i) q^{5} +(5.64131 - 10.2870i) q^{6} +(0.500915 - 0.420318i) q^{7} +(12.3077 + 21.3175i) q^{8} +(-25.7532 - 8.11018i) q^{9} +(21.7091 - 37.6013i) q^{10} +(-4.24549 - 24.0774i) q^{11} +(11.3355 - 9.94439i) q^{12} +(36.6094 - 13.3247i) q^{13} +(-1.38738 + 0.504965i) q^{14} +(-94.6232 - 32.1021i) q^{15} +(-5.61966 - 31.8707i) q^{16} +(-20.0093 + 34.6572i) q^{17} +(48.3777 + 37.0950i) q^{18} +(76.3151 + 132.182i) q^{19} +(42.7488 - 35.8705i) q^{20} +(1.76317 + 2.90448i) q^{21} +(-9.58578 + 54.3637i) q^{22} +(89.8865 + 75.4237i) q^{23} +(-119.201 + 46.3782i) q^{24} +(-230.019 - 83.7201i) q^{25} -87.9642 q^{26} +(61.9863 - 125.860i) q^{27} -1.89761 q^{28} +(-83.5721 - 30.4178i) q^{29} +(175.972 + 141.183i) q^{30} +(58.9074 + 49.4292i) q^{31} +(21.5068 - 121.971i) q^{32} +(127.009 - 2.79325i) q^{33} +(69.2176 - 58.0805i) q^{34} +(6.28713 + 10.8896i) q^{35} +(42.1224 + 66.0686i) q^{36} +(108.072 - 187.187i) q^{37} +(-59.8426 - 339.384i) q^{38} +(39.5276 + 198.540i) q^{39} +(-444.800 + 161.894i) q^{40} +(-48.1790 + 17.5357i) q^{41} +(-1.49797 - 7.52404i) q^{42} +(26.9611 + 152.904i) q^{43} +(-35.4752 + 61.4449i) q^{44} +(239.582 - 460.620i) q^{45} +(-132.468 - 229.441i) q^{46} +(100.384 - 84.2318i) q^{47} +(168.119 - 3.69736i) q^{48} +(-59.4871 + 337.368i) q^{49} +(423.381 + 355.259i) q^{50} +(-162.194 - 130.129i) q^{51} +(-106.240 - 38.6684i) q^{52} -362.751 q^{53} +(-228.711 + 219.170i) q^{54} +470.143 q^{55} +(15.1252 + 5.50514i) q^{56} +(-739.116 + 287.573i) q^{57} +(153.826 + 129.075i) q^{58} +(60.3962 - 342.524i) q^{59} +(150.471 + 247.872i) q^{60} +(279.664 - 234.666i) q^{61} +(-86.8132 - 150.365i) q^{62} +(-16.3090 + 6.76200i) q^{63} +(-269.271 + 466.392i) q^{64} +(130.092 + 737.786i) q^{65} +(-271.633 - 92.1548i) q^{66} +(749.971 - 272.967i) q^{67} +(109.131 - 39.7203i) q^{68} +(-458.334 + 402.088i) q^{69} +(-4.93007 - 27.9598i) q^{70} +(-185.178 + 320.737i) q^{71} +(-144.073 - 648.811i) q^{72} +(-253.302 - 438.733i) q^{73} +(-373.851 + 313.698i) q^{74} +(611.587 - 1115.23i) q^{75} +(76.9145 - 436.204i) q^{76} +(-12.2468 - 10.2763i) q^{77} +(69.4540 - 451.768i) q^{78} +(-143.391 - 52.1900i) q^{79} +622.318 q^{80} +(597.450 + 417.725i) q^{81} +115.763 q^{82} +(457.778 + 166.617i) q^{83} +(1.49830 - 9.74579i) q^{84} +(-589.508 - 494.656i) q^{85} +(60.8748 - 345.238i) q^{86} +(222.206 - 405.194i) q^{87} +(461.018 - 386.840i) q^{88} +(44.9643 + 77.8804i) q^{89} +(-864.032 + 792.287i) q^{90} +(12.7376 - 22.0621i) q^{91} +(-59.1301 - 335.343i) q^{92} +(-300.371 + 263.510i) q^{93} +(-278.032 + 101.195i) q^{94} +(-2758.03 + 1003.84i) q^{95} +(609.440 + 206.760i) q^{96} +(197.390 + 1119.46i) q^{97} +(386.743 - 669.858i) q^{98} +(-85.9370 + 654.500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.12171 0.772239i −0.750137 0.273028i −0.0614736 0.998109i \(-0.519580\pi\)
−0.688663 + 0.725081i \(0.741802\pi\)
\(3\) −0.789571 + 5.13581i −0.151953 + 0.988388i
\(4\) −2.22306 1.86537i −0.277883 0.233171i
\(5\) −3.33920 + 18.9376i −0.298667 + 1.69383i 0.353244 + 0.935531i \(0.385079\pi\)
−0.651911 + 0.758295i \(0.726033\pi\)
\(6\) 5.64131 10.2870i 0.383843 0.699939i
\(7\) 0.500915 0.420318i 0.0270469 0.0226950i −0.629164 0.777273i \(-0.716603\pi\)
0.656211 + 0.754578i \(0.272158\pi\)
\(8\) 12.3077 + 21.3175i 0.543928 + 0.942110i
\(9\) −25.7532 8.11018i −0.953821 0.300377i
\(10\) 21.7091 37.6013i 0.686503 1.18906i
\(11\) −4.24549 24.0774i −0.116369 0.659964i −0.986063 0.166372i \(-0.946795\pi\)
0.869694 0.493592i \(-0.164316\pi\)
\(12\) 11.3355 9.94439i 0.272689 0.239225i
\(13\) 36.6094 13.3247i 0.781047 0.284278i 0.0794378 0.996840i \(-0.474687\pi\)
0.701609 + 0.712562i \(0.252465\pi\)
\(14\) −1.38738 + 0.504965i −0.0264852 + 0.00963984i
\(15\) −94.6232 32.1021i −1.62877 0.552581i
\(16\) −5.61966 31.8707i −0.0878073 0.497980i
\(17\) −20.0093 + 34.6572i −0.285469 + 0.494448i −0.972723 0.231970i \(-0.925483\pi\)
0.687253 + 0.726418i \(0.258816\pi\)
\(18\) 48.3777 + 37.0950i 0.633485 + 0.485743i
\(19\) 76.3151 + 132.182i 0.921467 + 1.59603i 0.797146 + 0.603786i \(0.206342\pi\)
0.124321 + 0.992242i \(0.460325\pi\)
\(20\) 42.7488 35.8705i 0.477946 0.401045i
\(21\) 1.76317 + 2.90448i 0.0183216 + 0.0301814i
\(22\) −9.58578 + 54.3637i −0.0928953 + 0.526835i
\(23\) 89.8865 + 75.4237i 0.814897 + 0.683779i 0.951771 0.306809i \(-0.0992613\pi\)
−0.136874 + 0.990588i \(0.543706\pi\)
\(24\) −119.201 + 46.3782i −1.01382 + 0.394455i
\(25\) −230.019 83.7201i −1.84015 0.669761i
\(26\) −87.9642 −0.663508
\(27\) 61.9863 125.860i 0.441825 0.897101i
\(28\) −1.89761 −0.0128077
\(29\) −83.5721 30.4178i −0.535136 0.194774i 0.0602939 0.998181i \(-0.480796\pi\)
−0.595430 + 0.803407i \(0.703018\pi\)
\(30\) 175.972 + 141.183i 1.07093 + 0.859212i
\(31\) 58.9074 + 49.4292i 0.341293 + 0.286379i 0.797283 0.603606i \(-0.206270\pi\)
−0.455990 + 0.889985i \(0.650715\pi\)
\(32\) 21.5068 121.971i 0.118809 0.673801i
\(33\) 127.009 2.79325i 0.669983 0.0147346i
\(34\) 69.2176 58.0805i 0.349139 0.292962i
\(35\) 6.28713 + 10.8896i 0.0303634 + 0.0525910i
\(36\) 42.1224 + 66.0686i 0.195011 + 0.305873i
\(37\) 108.072 187.187i 0.480189 0.831711i −0.519553 0.854438i \(-0.673901\pi\)
0.999742 + 0.0227269i \(0.00723483\pi\)
\(38\) −59.8426 339.384i −0.255467 1.44883i
\(39\) 39.5276 + 198.540i 0.162294 + 0.815174i
\(40\) −444.800 + 161.894i −1.75822 + 0.639941i
\(41\) −48.1790 + 17.5357i −0.183519 + 0.0667956i −0.432145 0.901804i \(-0.642243\pi\)
0.248626 + 0.968600i \(0.420021\pi\)
\(42\) −1.49797 7.52404i −0.00550338 0.0276425i
\(43\) 26.9611 + 152.904i 0.0956169 + 0.542271i 0.994557 + 0.104198i \(0.0332276\pi\)
−0.898940 + 0.438073i \(0.855661\pi\)
\(44\) −35.4752 + 61.4449i −0.121548 + 0.210527i
\(45\) 239.582 460.620i 0.793661 1.52589i
\(46\) −132.468 229.441i −0.424594 0.735418i
\(47\) 100.384 84.2318i 0.311542 0.261414i −0.473587 0.880747i \(-0.657041\pi\)
0.785129 + 0.619332i \(0.212597\pi\)
\(48\) 168.119 3.69736i 0.505540 0.0111181i
\(49\) −59.4871 + 337.368i −0.173432 + 0.983580i
\(50\) 423.381 + 355.259i 1.19750 + 1.00482i
\(51\) −162.194 130.129i −0.445328 0.357287i
\(52\) −106.240 38.6684i −0.283325 0.103122i
\(53\) −362.751 −0.940144 −0.470072 0.882628i \(-0.655772\pi\)
−0.470072 + 0.882628i \(0.655772\pi\)
\(54\) −228.711 + 219.170i −0.576363 + 0.552319i
\(55\) 470.143 1.15262
\(56\) 15.1252 + 5.50514i 0.0360928 + 0.0131367i
\(57\) −739.116 + 287.573i −1.71751 + 0.668246i
\(58\) 153.826 + 129.075i 0.348247 + 0.292214i
\(59\) 60.3962 342.524i 0.133270 0.755811i −0.842779 0.538260i \(-0.819082\pi\)
0.976049 0.217551i \(-0.0698069\pi\)
\(60\) 150.471 + 247.872i 0.323762 + 0.533336i
\(61\) 279.664 234.666i 0.587006 0.492556i −0.300234 0.953866i \(-0.597065\pi\)
0.887239 + 0.461310i \(0.152620\pi\)
\(62\) −86.8132 150.365i −0.177827 0.308006i
\(63\) −16.3090 + 6.76200i −0.0326149 + 0.0135227i
\(64\) −269.271 + 466.392i −0.525921 + 0.910921i
\(65\) 130.092 + 737.786i 0.248244 + 1.40786i
\(66\) −271.633 92.1548i −0.506602 0.171871i
\(67\) 749.971 272.967i 1.36752 0.497735i 0.449146 0.893458i \(-0.351728\pi\)
0.918370 + 0.395723i \(0.129506\pi\)
\(68\) 109.131 39.7203i 0.194618 0.0708352i
\(69\) −458.334 + 402.088i −0.799665 + 0.701531i
\(70\) −4.93007 27.9598i −0.00841794 0.0477405i
\(71\) −185.178 + 320.737i −0.309529 + 0.536119i −0.978259 0.207385i \(-0.933505\pi\)
0.668731 + 0.743505i \(0.266838\pi\)
\(72\) −144.073 648.811i −0.235821 1.06199i
\(73\) −253.302 438.733i −0.406121 0.703421i 0.588331 0.808620i \(-0.299785\pi\)
−0.994451 + 0.105199i \(0.966452\pi\)
\(74\) −373.851 + 313.698i −0.587288 + 0.492793i
\(75\) 611.587 1115.23i 0.941600 1.71701i
\(76\) 76.9145 436.204i 0.116088 0.658369i
\(77\) −12.2468 10.2763i −0.0181253 0.0152089i
\(78\) 69.4540 451.768i 0.100822 0.655803i
\(79\) −143.391 52.1900i −0.204212 0.0743270i 0.237889 0.971292i \(-0.423544\pi\)
−0.442101 + 0.896965i \(0.645767\pi\)
\(80\) 622.318 0.869716
\(81\) 597.450 + 417.725i 0.819547 + 0.573012i
\(82\) 115.763 0.155902
\(83\) 457.778 + 166.617i 0.605393 + 0.220345i 0.626486 0.779432i \(-0.284492\pi\)
−0.0210932 + 0.999778i \(0.506715\pi\)
\(84\) 1.49830 9.74579i 0.00194617 0.0126590i
\(85\) −589.508 494.656i −0.752248 0.631211i
\(86\) 60.8748 345.238i 0.0763290 0.432883i
\(87\) 222.206 405.194i 0.273828 0.499326i
\(88\) 461.018 386.840i 0.558462 0.468605i
\(89\) 44.9643 + 77.8804i 0.0535529 + 0.0927563i 0.891559 0.452904i \(-0.149612\pi\)
−0.838006 + 0.545661i \(0.816279\pi\)
\(90\) −864.032 + 792.287i −1.01197 + 0.927938i
\(91\) 12.7376 22.0621i 0.0146732 0.0254147i
\(92\) −59.1301 335.343i −0.0670080 0.380021i
\(93\) −300.371 + 263.510i −0.334914 + 0.293814i
\(94\) −278.032 + 101.195i −0.305072 + 0.111037i
\(95\) −2758.03 + 1003.84i −2.97861 + 1.08412i
\(96\) 609.440 + 206.760i 0.647924 + 0.219816i
\(97\) 197.390 + 1119.46i 0.206618 + 1.17179i 0.894873 + 0.446320i \(0.147266\pi\)
−0.688255 + 0.725468i \(0.741623\pi\)
\(98\) 386.743 669.858i 0.398642 0.690468i
\(99\) −85.9370 + 654.500i −0.0872424 + 0.664442i
\(100\) 355.178 + 615.186i 0.355178 + 0.615186i
\(101\) 188.919 158.522i 0.186121 0.156174i −0.544967 0.838458i \(-0.683458\pi\)
0.731087 + 0.682284i \(0.239013\pi\)
\(102\) 243.638 + 401.348i 0.236508 + 0.389601i
\(103\) 69.8300 396.026i 0.0668015 0.378850i −0.933018 0.359831i \(-0.882834\pi\)
0.999819 0.0190194i \(-0.00605442\pi\)
\(104\) 734.626 + 616.425i 0.692654 + 0.581206i
\(105\) −60.8913 + 23.6914i −0.0565941 + 0.0220195i
\(106\) 769.651 + 280.130i 0.705237 + 0.256685i
\(107\) 1634.47 1.47673 0.738365 0.674401i \(-0.235598\pi\)
0.738365 + 0.674401i \(0.235598\pi\)
\(108\) −372.575 + 164.167i −0.331954 + 0.146268i
\(109\) −1970.93 −1.73193 −0.865965 0.500104i \(-0.833295\pi\)
−0.865965 + 0.500104i \(0.833295\pi\)
\(110\) −997.506 363.063i −0.864623 0.314697i
\(111\) 876.026 + 702.837i 0.749087 + 0.600994i
\(112\) −16.2108 13.6025i −0.0136766 0.0114760i
\(113\) 407.313 2309.99i 0.339087 1.92306i −0.0433162 0.999061i \(-0.513792\pi\)
0.382403 0.923996i \(-0.375097\pi\)
\(114\) 1790.26 39.3724i 1.47082 0.0323471i
\(115\) −1728.49 + 1450.37i −1.40159 + 1.17607i
\(116\) 129.046 + 223.514i 0.103290 + 0.178903i
\(117\) −1050.87 + 46.2451i −0.830369 + 0.0365415i
\(118\) −392.653 + 680.096i −0.306328 + 0.530575i
\(119\) 4.54405 + 25.7706i 0.00350044 + 0.0198520i
\(120\) −480.255 2412.23i −0.365343 1.83505i
\(121\) 689.035 250.788i 0.517682 0.188421i
\(122\) −774.584 + 281.926i −0.574816 + 0.209216i
\(123\) −52.0194 261.284i −0.0381336 0.191538i
\(124\) −38.7511 219.768i −0.0280641 0.159160i
\(125\) 1151.68 1994.77i 0.824074 1.42734i
\(126\) 39.8248 1.75254i 0.0281577 0.00123912i
\(127\) 562.199 + 973.757i 0.392812 + 0.680370i 0.992819 0.119624i \(-0.0381690\pi\)
−0.600007 + 0.799994i \(0.704836\pi\)
\(128\) 172.467 144.717i 0.119095 0.0999323i
\(129\) −806.574 + 17.7386i −0.550503 + 0.0121070i
\(130\) 293.730 1665.83i 0.198168 1.12387i
\(131\) −354.923 297.815i −0.236715 0.198628i 0.516711 0.856160i \(-0.327156\pi\)
−0.753427 + 0.657532i \(0.771601\pi\)
\(132\) −287.559 230.709i −0.189612 0.152126i
\(133\) 93.7856 + 34.1352i 0.0611447 + 0.0222549i
\(134\) −1802.02 −1.16172
\(135\) 2176.49 + 1594.14i 1.38758 + 1.01631i
\(136\) −985.074 −0.621099
\(137\) 1596.78 + 581.180i 0.995781 + 0.362435i 0.787956 0.615731i \(-0.211139\pi\)
0.207825 + 0.978166i \(0.433362\pi\)
\(138\) 1282.96 499.170i 0.791396 0.307914i
\(139\) 828.306 + 695.032i 0.505439 + 0.424114i 0.859521 0.511101i \(-0.170762\pi\)
−0.354082 + 0.935214i \(0.615207\pi\)
\(140\) 6.33652 35.9362i 0.00382524 0.0216940i
\(141\) 353.339 + 582.058i 0.211039 + 0.347647i
\(142\) 640.578 537.509i 0.378564 0.317653i
\(143\) −476.249 824.887i −0.278503 0.482381i
\(144\) −113.753 + 866.348i −0.0658293 + 0.501359i
\(145\) 855.102 1481.08i 0.489741 0.848256i
\(146\) 198.627 + 1126.47i 0.112593 + 0.638545i
\(147\) −1685.69 571.890i −0.945805 0.320876i
\(148\) −589.425 + 214.533i −0.327368 + 0.119152i
\(149\) 1177.72 428.656i 0.647536 0.235684i 0.00269001 0.999996i \(-0.499144\pi\)
0.644846 + 0.764313i \(0.276922\pi\)
\(150\) −2158.83 + 1893.91i −1.17512 + 1.03091i
\(151\) −395.026 2240.30i −0.212892 1.20737i −0.884526 0.466490i \(-0.845518\pi\)
0.671634 0.740883i \(-0.265593\pi\)
\(152\) −1878.52 + 3253.70i −1.00242 + 1.73625i
\(153\) 796.380 730.253i 0.420807 0.385866i
\(154\) 18.0484 + 31.2607i 0.00944401 + 0.0163575i
\(155\) −1132.77 + 950.508i −0.587009 + 0.492559i
\(156\) 282.478 515.100i 0.144977 0.264365i
\(157\) −160.719 + 911.484i −0.0816993 + 0.463340i 0.916321 + 0.400445i \(0.131144\pi\)
−0.998020 + 0.0628948i \(0.979967\pi\)
\(158\) 263.930 + 221.464i 0.132893 + 0.111511i
\(159\) 286.417 1863.02i 0.142858 0.929227i
\(160\) 2238.02 + 814.572i 1.10582 + 0.402485i
\(161\) 76.7274 0.0375588
\(162\) −945.031 1347.67i −0.458325 0.653596i
\(163\) −177.938 −0.0855042 −0.0427521 0.999086i \(-0.513613\pi\)
−0.0427521 + 0.999086i \(0.513613\pi\)
\(164\) 139.816 + 50.8887i 0.0665717 + 0.0242301i
\(165\) −371.211 + 2414.57i −0.175144 + 1.13923i
\(166\) −842.602 707.027i −0.393968 0.330578i
\(167\) −221.275 + 1254.91i −0.102532 + 0.581486i 0.889646 + 0.456651i \(0.150951\pi\)
−0.992178 + 0.124835i \(0.960160\pi\)
\(168\) −40.2158 + 73.3337i −0.0184685 + 0.0336775i
\(169\) −520.302 + 436.585i −0.236824 + 0.198719i
\(170\) 868.771 + 1504.76i 0.391951 + 0.678879i
\(171\) −893.338 4023.02i −0.399504 1.79911i
\(172\) 225.286 390.208i 0.0998717 0.172983i
\(173\) 297.016 + 1684.46i 0.130530 + 0.740272i 0.977869 + 0.209219i \(0.0670923\pi\)
−0.847339 + 0.531053i \(0.821797\pi\)
\(174\) −784.363 + 688.107i −0.341738 + 0.299800i
\(175\) −150.409 + 54.7444i −0.0649706 + 0.0236474i
\(176\) −743.504 + 270.613i −0.318430 + 0.115899i
\(177\) 1711.45 + 580.631i 0.726783 + 0.246570i
\(178\) −35.2588 199.963i −0.0148470 0.0842013i
\(179\) 996.991 1726.84i 0.416305 0.721062i −0.579259 0.815143i \(-0.696658\pi\)
0.995564 + 0.0940815i \(0.0299914\pi\)
\(180\) −1391.83 + 577.079i −0.576340 + 0.238961i
\(181\) −1479.11 2561.90i −0.607412 1.05207i −0.991665 0.128841i \(-0.958874\pi\)
0.384253 0.923228i \(-0.374459\pi\)
\(182\) −44.0626 + 36.9729i −0.0179458 + 0.0150583i
\(183\) 984.387 + 1621.59i 0.397639 + 0.655035i
\(184\) −501.553 + 2844.45i −0.200951 + 1.13965i
\(185\) 3183.98 + 2671.68i 1.26536 + 1.06176i
\(186\) 840.791 327.133i 0.331451 0.128960i
\(187\) 919.404 + 334.636i 0.359537 + 0.130861i
\(188\) −380.283 −0.147526
\(189\) −21.8512 89.0990i −0.00840975 0.0342910i
\(190\) 6626.93 2.53036
\(191\) −3169.67 1153.67i −1.20078 0.437049i −0.337285 0.941403i \(-0.609509\pi\)
−0.863497 + 0.504354i \(0.831731\pi\)
\(192\) −2182.69 1751.18i −0.820428 0.658231i
\(193\) 471.618 + 395.735i 0.175895 + 0.147594i 0.726485 0.687182i \(-0.241153\pi\)
−0.550590 + 0.834776i \(0.685597\pi\)
\(194\) 445.682 2527.59i 0.164939 0.935414i
\(195\) −3891.85 + 85.5915i −1.42924 + 0.0314325i
\(196\) 761.560 639.025i 0.277536 0.232881i
\(197\) −403.273 698.489i −0.145848 0.252616i 0.783841 0.620961i \(-0.213258\pi\)
−0.929689 + 0.368346i \(0.879924\pi\)
\(198\) 687.763 1322.29i 0.246855 0.474603i
\(199\) 308.855 534.953i 0.110021 0.190562i −0.805758 0.592246i \(-0.798242\pi\)
0.915778 + 0.401684i \(0.131575\pi\)
\(200\) −1046.30 5933.84i −0.369921 2.09793i
\(201\) 809.753 + 4067.24i 0.284157 + 1.42727i
\(202\) −523.249 + 190.447i −0.182256 + 0.0663357i
\(203\) −54.6477 + 19.8901i −0.0188942 + 0.00687691i
\(204\) 117.830 + 591.836i 0.0404398 + 0.203122i
\(205\) −171.204 970.947i −0.0583289 0.330799i
\(206\) −453.985 + 786.325i −0.153547 + 0.265951i
\(207\) −1703.16 2671.39i −0.571874 0.896979i
\(208\) −630.401 1091.89i −0.210146 0.363984i
\(209\) 2858.59 2398.64i 0.946090 0.793864i
\(210\) 147.489 3.24365i 0.0484652 0.00106587i
\(211\) −460.355 + 2610.80i −0.150200 + 0.851825i 0.812844 + 0.582481i \(0.197918\pi\)
−0.963044 + 0.269344i \(0.913193\pi\)
\(212\) 806.417 + 676.664i 0.261250 + 0.219215i
\(213\) −1501.03 1204.28i −0.482860 0.387399i
\(214\) −3467.87 1262.20i −1.10775 0.403188i
\(215\) −2985.66 −0.947070
\(216\) 3445.93 227.648i 1.08549 0.0717105i
\(217\) 50.2836 0.0157303
\(218\) 4181.73 + 1522.02i 1.29918 + 0.472865i
\(219\) 2453.25 954.503i 0.756964 0.294518i
\(220\) −1045.16 876.991i −0.320293 0.268758i
\(221\) −270.732 + 1535.40i −0.0824045 + 0.467339i
\(222\) −1315.91 2167.71i −0.397830 0.655349i
\(223\) −1414.76 + 1187.13i −0.424841 + 0.356484i −0.830001 0.557762i \(-0.811660\pi\)
0.405160 + 0.914246i \(0.367216\pi\)
\(224\) −40.4935 70.1369i −0.0120785 0.0209206i
\(225\) 5244.73 + 4021.55i 1.55399 + 1.19157i
\(226\) −2648.06 + 4586.58i −0.779409 + 1.34998i
\(227\) 218.634 + 1239.93i 0.0639261 + 0.362543i 0.999944 + 0.0105904i \(0.00337109\pi\)
−0.936018 + 0.351953i \(0.885518\pi\)
\(228\) 2179.53 + 739.433i 0.633084 + 0.214781i
\(229\) −1908.52 + 694.645i −0.550736 + 0.200452i −0.602374 0.798214i \(-0.705778\pi\)
0.0516373 + 0.998666i \(0.483556\pi\)
\(230\) 4787.39 1742.47i 1.37248 0.499543i
\(231\) 62.4467 54.7833i 0.0177865 0.0156038i
\(232\) −380.147 2155.92i −0.107577 0.610100i
\(233\) −2199.86 + 3810.27i −0.618531 + 1.07133i 0.371222 + 0.928544i \(0.378939\pi\)
−0.989754 + 0.142784i \(0.954395\pi\)
\(234\) 2265.36 + 713.406i 0.632868 + 0.199303i
\(235\) 1259.94 + 2182.29i 0.349743 + 0.605773i
\(236\) −773.199 + 648.791i −0.213267 + 0.178952i
\(237\) 381.255 695.221i 0.104494 0.190546i
\(238\) 10.2599 58.1868i 0.00279433 0.0158474i
\(239\) −3904.23 3276.04i −1.05667 0.886650i −0.0628898 0.998020i \(-0.520032\pi\)
−0.993779 + 0.111370i \(0.964476\pi\)
\(240\) −491.365 + 3196.11i −0.132156 + 0.859617i
\(241\) −3716.59 1352.73i −0.993388 0.361564i −0.206357 0.978477i \(-0.566161\pi\)
−0.787031 + 0.616913i \(0.788383\pi\)
\(242\) −1655.60 −0.439777
\(243\) −2617.09 + 2738.57i −0.690890 + 0.722960i
\(244\) −1059.45 −0.277969
\(245\) −6190.28 2253.08i −1.61422 0.587526i
\(246\) −91.4035 + 594.540i −0.0236897 + 0.154091i
\(247\) 4555.13 + 3822.21i 1.17342 + 0.984620i
\(248\) −328.694 + 1864.12i −0.0841618 + 0.477305i
\(249\) −1217.16 + 2219.50i −0.309778 + 0.564881i
\(250\) −3983.96 + 3342.94i −1.00787 + 0.845704i
\(251\) −251.096 434.910i −0.0631435 0.109368i 0.832725 0.553686i \(-0.186779\pi\)
−0.895869 + 0.444318i \(0.853446\pi\)
\(252\) 48.8696 + 15.3900i 0.0122162 + 0.00384714i
\(253\) 1434.39 2484.44i 0.356441 0.617373i
\(254\) −440.849 2500.18i −0.108903 0.617619i
\(255\) 3005.92 2637.03i 0.738187 0.647598i
\(256\) 3570.83 1299.68i 0.871786 0.317304i
\(257\) 280.694 102.164i 0.0681291 0.0247970i −0.307731 0.951473i \(-0.599570\pi\)
0.375860 + 0.926676i \(0.377347\pi\)
\(258\) 1725.01 + 585.231i 0.416258 + 0.141221i
\(259\) −24.5429 139.189i −0.00588810 0.0333931i
\(260\) 1087.04 1882.81i 0.259290 0.449104i
\(261\) 1905.55 + 1461.14i 0.451919 + 0.346522i
\(262\) 523.057 + 905.962i 0.123338 + 0.213628i
\(263\) 2351.88 1973.47i 0.551420 0.462696i −0.324002 0.946057i \(-0.605028\pi\)
0.875421 + 0.483360i \(0.160584\pi\)
\(264\) 1622.73 + 2673.14i 0.378304 + 0.623183i
\(265\) 1211.30 6869.61i 0.280790 1.59244i
\(266\) −172.625 144.850i −0.0397907 0.0333884i
\(267\) −435.482 + 169.436i −0.0998167 + 0.0388364i
\(268\) −2176.42 792.152i −0.496067 0.180554i
\(269\) 6343.67 1.43785 0.718923 0.695090i \(-0.244635\pi\)
0.718923 + 0.695090i \(0.244635\pi\)
\(270\) −3386.82 5063.07i −0.763391 1.14122i
\(271\) 1232.62 0.276297 0.138148 0.990412i \(-0.455885\pi\)
0.138148 + 0.990412i \(0.455885\pi\)
\(272\) 1217.00 + 442.950i 0.271291 + 0.0987419i
\(273\) 103.250 + 82.8374i 0.0228900 + 0.0183646i
\(274\) −2939.09 2466.19i −0.648018 0.543751i
\(275\) −1039.22 + 5893.69i −0.227880 + 1.29237i
\(276\) 1768.95 38.9036i 0.385790 0.00848451i
\(277\) 4767.55 4000.45i 1.03413 0.867739i 0.0427944 0.999084i \(-0.486374\pi\)
0.991337 + 0.131345i \(0.0419295\pi\)
\(278\) −1220.69 2114.30i −0.263354 0.456142i
\(279\) −1116.17 1750.71i −0.239511 0.375671i
\(280\) −154.760 + 268.052i −0.0330310 + 0.0572114i
\(281\) −97.3794 552.266i −0.0206732 0.117244i 0.972725 0.231962i \(-0.0745145\pi\)
−0.993398 + 0.114718i \(0.963403\pi\)
\(282\) −300.194 1507.82i −0.0633912 0.318402i
\(283\) −5865.99 + 2135.05i −1.23215 + 0.448464i −0.874332 0.485329i \(-0.838700\pi\)
−0.357814 + 0.933793i \(0.616478\pi\)
\(284\) 1009.95 367.593i 0.211020 0.0768051i
\(285\) −2977.88 14957.3i −0.618927 3.10875i
\(286\) 373.451 + 2117.95i 0.0772120 + 0.437891i
\(287\) −16.7630 + 29.0344i −0.00344770 + 0.00597159i
\(288\) −1543.08 + 2966.72i −0.315717 + 0.606998i
\(289\) 1655.75 + 2867.85i 0.337014 + 0.583726i
\(290\) −2958.03 + 2482.08i −0.598970 + 0.502595i
\(291\) −5905.17 + 129.870i −1.18958 + 0.0261618i
\(292\) −255.292 + 1447.83i −0.0511638 + 0.290164i
\(293\) −3288.99 2759.79i −0.655784 0.550268i 0.253036 0.967457i \(-0.418571\pi\)
−0.908820 + 0.417189i \(0.863015\pi\)
\(294\) 3134.91 + 2515.14i 0.621875 + 0.498932i
\(295\) 6284.89 + 2287.51i 1.24041 + 0.451472i
\(296\) 5320.48 1.04475
\(297\) −3293.54 958.131i −0.643469 0.187193i
\(298\) −2829.81 −0.550089
\(299\) 4295.69 + 1563.50i 0.830856 + 0.302407i
\(300\) −3439.92 + 1338.39i −0.662013 + 0.257574i
\(301\) 77.7735 + 65.2597i 0.0148930 + 0.0124967i
\(302\) −891.919 + 5058.32i −0.169948 + 0.963821i
\(303\) 664.975 + 1095.42i 0.126079 + 0.207691i
\(304\) 3783.85 3175.03i 0.713878 0.599015i
\(305\) 3510.15 + 6079.76i 0.658985 + 1.14140i
\(306\) −2253.62 + 934.388i −0.421015 + 0.174560i
\(307\) 4087.53 7079.81i 0.759895 1.31618i −0.183009 0.983111i \(-0.558584\pi\)
0.942904 0.333066i \(-0.108083\pi\)
\(308\) 8.05630 + 45.6896i 0.00149042 + 0.00845261i
\(309\) 1978.78 + 671.324i 0.364300 + 0.123593i
\(310\) 3137.43 1141.93i 0.574819 0.209217i
\(311\) 1506.25 548.232i 0.274636 0.0999594i −0.201031 0.979585i \(-0.564429\pi\)
0.475667 + 0.879626i \(0.342207\pi\)
\(312\) −3745.88 + 3286.19i −0.679708 + 0.596295i
\(313\) 1895.60 + 10750.5i 0.342319 + 1.94139i 0.337297 + 0.941398i \(0.390487\pi\)
0.00502124 + 0.999987i \(0.498402\pi\)
\(314\) 1044.88 1809.79i 0.187790 0.325262i
\(315\) −73.5966 331.432i −0.0131641 0.0592828i
\(316\) 221.413 + 383.499i 0.0394160 + 0.0682705i
\(317\) −1256.41 + 1054.26i −0.222610 + 0.186792i −0.747271 0.664519i \(-0.768636\pi\)
0.524661 + 0.851311i \(0.324192\pi\)
\(318\) −2046.39 + 3731.60i −0.360867 + 0.658043i
\(319\) −377.575 + 2141.34i −0.0662701 + 0.375836i
\(320\) −7933.17 6656.72i −1.38587 1.16288i
\(321\) −1290.53 + 8394.33i −0.224394 + 1.45958i
\(322\) −162.793 59.2519i −0.0281742 0.0102546i
\(323\) −6108.06 −1.05220
\(324\) −548.956 2043.10i −0.0941283 0.350325i
\(325\) −9536.40 −1.62764
\(326\) 377.533 + 137.411i 0.0641399 + 0.0233450i
\(327\) 1556.19 10122.3i 0.263172 1.71182i
\(328\) −966.789 811.232i −0.162750 0.136563i
\(329\) 14.8795 84.3860i 0.00249342 0.0141409i
\(330\) 2652.22 4836.34i 0.442425 0.806763i
\(331\) 5341.08 4481.69i 0.886925 0.744218i −0.0806662 0.996741i \(-0.525705\pi\)
0.967591 + 0.252523i \(0.0812603\pi\)
\(332\) −706.865 1224.33i −0.116850 0.202390i
\(333\) −4301.32 + 3944.16i −0.707841 + 0.649066i
\(334\) 1438.57 2491.68i 0.235675 0.408200i
\(335\) 2665.03 + 15114.1i 0.434645 + 2.46499i
\(336\) 82.6593 72.5155i 0.0134209 0.0117739i
\(337\) 8810.91 3206.91i 1.42422 0.518372i 0.488948 0.872313i \(-0.337381\pi\)
0.935268 + 0.353941i \(0.115158\pi\)
\(338\) 1441.08 524.509i 0.231906 0.0844069i
\(339\) 11542.1 + 3915.79i 1.84920 + 0.627364i
\(340\) 387.796 + 2199.30i 0.0618565 + 0.350805i
\(341\) 940.034 1628.19i 0.149284 0.258567i
\(342\) −1211.33 + 9225.55i −0.191524 + 1.45866i
\(343\) 224.147 + 388.235i 0.0352852 + 0.0611157i
\(344\) −2927.71 + 2456.64i −0.458870 + 0.385038i
\(345\) −6084.09 10022.4i −0.949439 1.56402i
\(346\) 670.624 3803.30i 0.104199 0.590944i
\(347\) 1000.76 + 839.741i 0.154824 + 0.129913i 0.716909 0.697167i \(-0.245556\pi\)
−0.562085 + 0.827079i \(0.690001\pi\)
\(348\) −1249.82 + 486.275i −0.192520 + 0.0749053i
\(349\) −3710.11 1350.37i −0.569048 0.207117i 0.0414413 0.999141i \(-0.486805\pi\)
−0.610490 + 0.792024i \(0.709027\pi\)
\(350\) 361.400 0.0551933
\(351\) 592.233 5433.60i 0.0900599 0.826279i
\(352\) −3028.05 −0.458510
\(353\) −1916.14 697.416i −0.288911 0.105155i 0.193499 0.981100i \(-0.438016\pi\)
−0.482410 + 0.875945i \(0.660239\pi\)
\(354\) −3182.82 2553.58i −0.477867 0.383393i
\(355\) −5455.63 4577.81i −0.815647 0.684409i
\(356\) 45.3175 257.008i 0.00674669 0.0382624i
\(357\) −135.941 + 2.98968i −0.0201534 + 0.000443224i
\(358\) −3448.86 + 2893.93i −0.509156 + 0.427232i
\(359\) −3268.69 5661.54i −0.480543 0.832325i 0.519208 0.854648i \(-0.326227\pi\)
−0.999751 + 0.0223230i \(0.992894\pi\)
\(360\) 12768.0 561.872i 1.86925 0.0822590i
\(361\) −8218.48 + 14234.8i −1.19820 + 2.07535i
\(362\) 1159.85 + 6577.83i 0.168399 + 0.955036i
\(363\) 743.960 + 3736.77i 0.107570 + 0.540302i
\(364\) −69.4705 + 25.2852i −0.0100034 + 0.00364094i
\(365\) 9154.35 3331.91i 1.31277 0.477809i
\(366\) −836.328 4200.72i −0.119441 0.599932i
\(367\) −744.758 4223.73i −0.105929 0.600755i −0.990845 0.135004i \(-0.956895\pi\)
0.884916 0.465751i \(-0.154216\pi\)
\(368\) 1898.67 3288.60i 0.268954 0.465843i
\(369\) 1382.98 60.8598i 0.195108 0.00858600i
\(370\) −4692.31 8127.32i −0.659302 1.14194i
\(371\) −181.707 + 152.470i −0.0254280 + 0.0213366i
\(372\) 1159.29 25.4956i 0.161576 0.00355346i
\(373\) 767.513 4352.78i 0.106542 0.604232i −0.884051 0.467391i \(-0.845194\pi\)
0.990593 0.136841i \(-0.0436949\pi\)
\(374\) −1692.29 1420.00i −0.233974 0.196327i
\(375\) 9335.41 + 7489.81i 1.28554 + 1.03139i
\(376\) 3031.10 + 1103.23i 0.415737 + 0.151316i
\(377\) −3464.83 −0.473337
\(378\) −22.4438 + 205.917i −0.00305392 + 0.0280191i
\(379\) 2226.11 0.301709 0.150854 0.988556i \(-0.451798\pi\)
0.150854 + 0.988556i \(0.451798\pi\)
\(380\) 8003.80 + 2913.15i 1.08049 + 0.393266i
\(381\) −5444.93 + 2118.50i −0.732158 + 0.284866i
\(382\) 5834.21 + 4895.49i 0.781425 + 0.655693i
\(383\) 1312.12 7441.42i 0.175056 0.992791i −0.763023 0.646371i \(-0.776286\pi\)
0.938079 0.346420i \(-0.112603\pi\)
\(384\) 607.066 + 1000.03i 0.0806751 + 0.132897i
\(385\) 235.502 197.609i 0.0311748 0.0261587i
\(386\) −695.035 1203.84i −0.0916485 0.158740i
\(387\) 545.745 4156.42i 0.0716842 0.545950i
\(388\) 1649.39 2856.83i 0.215812 0.373797i
\(389\) −2407.96 13656.2i −0.313852 1.77994i −0.578585 0.815622i \(-0.696395\pi\)
0.264733 0.964322i \(-0.414716\pi\)
\(390\) 8323.46 + 2823.83i 1.08070 + 0.366642i
\(391\) −4412.54 + 1606.03i −0.570721 + 0.207726i
\(392\) −7924.00 + 2884.10i −1.02098 + 0.371605i
\(393\) 1809.76 1587.67i 0.232291 0.203785i
\(394\) 316.227 + 1793.41i 0.0404347 + 0.229317i
\(395\) 1467.16 2541.20i 0.186888 0.323700i
\(396\) 1411.93 1294.69i 0.179172 0.164295i
\(397\) 866.691 + 1501.15i 0.109567 + 0.189775i 0.915595 0.402102i \(-0.131720\pi\)
−0.806028 + 0.591877i \(0.798387\pi\)
\(398\) −1068.41 + 896.504i −0.134559 + 0.112909i
\(399\) −249.362 + 454.713i −0.0312876 + 0.0570530i
\(400\) −1375.59 + 7801.35i −0.171949 + 0.975169i
\(401\) −5076.09 4259.35i −0.632139 0.530428i 0.269454 0.963013i \(-0.413157\pi\)
−0.901593 + 0.432586i \(0.857601\pi\)
\(402\) 1422.82 9254.82i 0.176527 1.14823i
\(403\) 2815.19 + 1024.65i 0.347977 + 0.126653i
\(404\) −715.683 −0.0881350
\(405\) −9905.70 + 9919.37i −1.21535 + 1.21703i
\(406\) 131.306 0.0160508
\(407\) −4965.79 1807.40i −0.604779 0.220121i
\(408\) 777.786 5059.16i 0.0943778 0.613886i
\(409\) −4235.35 3553.88i −0.512041 0.429653i 0.349806 0.936822i \(-0.386248\pi\)
−0.861847 + 0.507169i \(0.830692\pi\)
\(410\) −386.558 + 2192.28i −0.0465627 + 0.264070i
\(411\) −4245.60 + 7741.87i −0.509538 + 0.929145i
\(412\) −893.971 + 750.131i −0.106900 + 0.0896997i
\(413\) −113.716 196.961i −0.0135486 0.0234669i
\(414\) 1550.66 + 6983.16i 0.184084 + 0.828995i
\(415\) −4683.94 + 8112.82i −0.554037 + 0.959621i
\(416\) −837.880 4751.86i −0.0987511 0.560045i
\(417\) −4223.56 + 3705.25i −0.495992 + 0.435124i
\(418\) −7917.42 + 2881.70i −0.926444 + 0.337198i
\(419\) 2789.83 1015.41i 0.325279 0.118392i −0.174219 0.984707i \(-0.555740\pi\)
0.499498 + 0.866315i \(0.333518\pi\)
\(420\) 179.558 + 60.9173i 0.0208608 + 0.00707729i
\(421\) 1591.00 + 9023.02i 0.184182 + 1.04455i 0.927002 + 0.375057i \(0.122377\pi\)
−0.742819 + 0.669492i \(0.766512\pi\)
\(422\) 2992.90 5183.86i 0.345242 0.597977i
\(423\) −3268.33 + 1355.11i −0.375678 + 0.155763i
\(424\) −4464.62 7732.94i −0.511370 0.885719i
\(425\) 7504.04 6296.64i 0.856469 0.718663i
\(426\) 2254.76 + 3714.29i 0.256440 + 0.422436i
\(427\) 41.4537 235.096i 0.00469809 0.0266442i
\(428\) −3633.53 3048.89i −0.410358 0.344331i
\(429\) 4612.50 1794.62i 0.519099 0.201970i
\(430\) 6334.69 + 2305.64i 0.710432 + 0.258576i
\(431\) 13854.8 1.54840 0.774200 0.632941i \(-0.218152\pi\)
0.774200 + 0.632941i \(0.218152\pi\)
\(432\) −4359.58 1268.26i −0.485534 0.141248i
\(433\) 11703.3 1.29890 0.649449 0.760405i \(-0.274999\pi\)
0.649449 + 0.760405i \(0.274999\pi\)
\(434\) −106.687 38.8309i −0.0117999 0.00429480i
\(435\) 6931.39 + 5561.06i 0.763988 + 0.612949i
\(436\) 4381.49 + 3676.51i 0.481274 + 0.403837i
\(437\) −3109.93 + 17637.3i −0.340431 + 1.93068i
\(438\) −5942.18 + 130.684i −0.648238 + 0.0142564i
\(439\) −10242.1 + 8594.13i −1.11350 + 0.934340i −0.998258 0.0589972i \(-0.981210\pi\)
−0.115245 + 0.993337i \(0.536765\pi\)
\(440\) 5786.37 + 10022.3i 0.626942 + 1.08589i
\(441\) 4268.09 8205.84i 0.460868 0.886064i
\(442\) 1760.11 3048.60i 0.189411 0.328070i
\(443\) 615.153 + 3488.71i 0.0659747 + 0.374161i 0.999862 + 0.0165945i \(0.00528243\pi\)
−0.933888 + 0.357567i \(0.883606\pi\)
\(444\) −636.409 3196.56i −0.0680239 0.341672i
\(445\) −1625.01 + 591.455i −0.173108 + 0.0630060i
\(446\) 3918.46 1426.20i 0.416019 0.151418i
\(447\) 1271.60 + 6387.02i 0.134552 + 0.675829i
\(448\) 61.1506 + 346.802i 0.00644887 + 0.0365734i
\(449\) −6869.46 + 11898.3i −0.722027 + 1.25059i 0.238159 + 0.971226i \(0.423456\pi\)
−0.960186 + 0.279361i \(0.909877\pi\)
\(450\) −8022.19 12582.7i −0.840377 1.31813i
\(451\) 626.757 + 1085.58i 0.0654387 + 0.113343i
\(452\) −5214.47 + 4375.46i −0.542628 + 0.455319i
\(453\) 11817.7 259.901i 1.22570 0.0269563i
\(454\) 493.648 2799.61i 0.0510309 0.289411i
\(455\) 375.269 + 314.888i 0.0386657 + 0.0324444i
\(456\) −15227.2 12216.8i −1.56376 1.25461i
\(457\) −12604.5 4587.65i −1.29018 0.469587i −0.396393 0.918081i \(-0.629738\pi\)
−0.893786 + 0.448494i \(0.851961\pi\)
\(458\) 4585.76 0.467856
\(459\) 3121.64 + 4666.65i 0.317442 + 0.474554i
\(460\) 6548.03 0.663703
\(461\) −14001.8 5096.23i −1.41459 0.514870i −0.482120 0.876105i \(-0.660133\pi\)
−0.932475 + 0.361235i \(0.882355\pi\)
\(462\) −174.799 + 68.0105i −0.0176026 + 0.00684877i
\(463\) −4001.92 3358.01i −0.401696 0.337063i 0.419453 0.907777i \(-0.362222\pi\)
−0.821149 + 0.570714i \(0.806666\pi\)
\(464\) −499.788 + 2834.44i −0.0500045 + 0.283590i
\(465\) −3987.23 6568.20i −0.397642 0.655038i
\(466\) 7609.91 6385.47i 0.756485 0.634767i
\(467\) 770.017 + 1333.71i 0.0763001 + 0.132156i 0.901651 0.432465i \(-0.142356\pi\)
−0.825351 + 0.564620i \(0.809023\pi\)
\(468\) 2422.42 + 1857.46i 0.239266 + 0.183464i
\(469\) 260.939 451.960i 0.0256909 0.0444980i
\(470\) −987.987 5603.15i −0.0969627 0.549903i
\(471\) −4554.31 1545.10i −0.445545 0.151156i
\(472\) 8045.10 2928.18i 0.784546 0.285551i
\(473\) 3567.06 1298.30i 0.346752 0.126207i
\(474\) −1345.79 + 1180.64i −0.130410 + 0.114406i
\(475\) −6487.67 36793.4i −0.626683 3.55410i
\(476\) 37.9700 65.7660i 0.00365621 0.00633273i
\(477\) 9341.97 + 2941.97i 0.896728 + 0.282398i
\(478\) 5753.76 + 9965.80i 0.550566 + 0.953609i
\(479\) 9129.50 7660.56i 0.870851 0.730730i −0.0934265 0.995626i \(-0.529782\pi\)
0.964277 + 0.264896i \(0.0853376\pi\)
\(480\) −5950.56 + 10850.9i −0.565844 + 1.03182i
\(481\) 1462.25 8292.82i 0.138613 0.786113i
\(482\) 6840.88 + 5740.18i 0.646460 + 0.542444i
\(483\) −60.5817 + 394.058i −0.00570717 + 0.0371227i
\(484\) −1999.58 727.788i −0.187789 0.0683498i
\(485\) −21858.9 −2.04652
\(486\) 7667.53 3789.42i 0.715650 0.353687i
\(487\) 8607.21 0.800883 0.400441 0.916322i \(-0.368857\pi\)
0.400441 + 0.916322i \(0.368857\pi\)
\(488\) 8444.52 + 3073.55i 0.783331 + 0.285109i
\(489\) 140.495 913.857i 0.0129926 0.0845113i
\(490\) 11394.1 + 9560.75i 1.05047 + 0.881451i
\(491\) 725.217 4112.91i 0.0666570 0.378031i −0.933170 0.359435i \(-0.882969\pi\)
0.999827 0.0185957i \(-0.00591952\pi\)
\(492\) −371.749 + 677.886i −0.0340645 + 0.0621168i
\(493\) 2726.42 2287.74i 0.249070 0.208995i
\(494\) −6713.00 11627.3i −0.611401 1.05898i
\(495\) −12107.7 3812.94i −1.09939 0.346220i
\(496\) 1244.30 2155.20i 0.112643 0.195103i
\(497\) 42.0532 + 238.495i 0.00379546 + 0.0215251i
\(498\) 4296.45 3769.20i 0.386604 0.339160i
\(499\) 6630.01 2413.13i 0.594790 0.216486i −0.0270449 0.999634i \(-0.508610\pi\)
0.621835 + 0.783148i \(0.286387\pi\)
\(500\) −6281.23 + 2286.18i −0.561810 + 0.204482i
\(501\) −6270.29 2127.27i −0.559154 0.189700i
\(502\) 196.897 + 1116.66i 0.0175059 + 0.0992807i
\(503\) −3434.09 + 5948.02i −0.304411 + 0.527255i −0.977130 0.212643i \(-0.931793\pi\)
0.672719 + 0.739898i \(0.265126\pi\)
\(504\) −344.875 264.443i −0.0304801 0.0233715i
\(505\) 2371.18 + 4107.01i 0.208943 + 0.361900i
\(506\) −4961.94 + 4163.56i −0.435939 + 0.365796i
\(507\) −1831.41 3016.89i −0.160425 0.264270i
\(508\) 566.615 3213.43i 0.0494872 0.280656i
\(509\) 13507.1 + 11333.8i 1.17621 + 0.986959i 0.999997 + 0.00260759i \(0.000830024\pi\)
0.176216 + 0.984352i \(0.443614\pi\)
\(510\) −8414.10 + 3273.73i −0.730554 + 0.284242i
\(511\) −311.290 113.300i −0.0269485 0.00980844i
\(512\) −10381.1 −0.896059
\(513\) 21366.8 1411.55i 1.83893 0.121485i
\(514\) −674.445 −0.0578765
\(515\) 7266.58 + 2644.82i 0.621755 + 0.226300i
\(516\) 1826.15 + 1465.13i 0.155798 + 0.124997i
\(517\) −2454.26 2059.37i −0.208778 0.175185i
\(518\) −55.4147 + 314.272i −0.00470035 + 0.0266570i
\(519\) −8885.58 + 195.416i −0.751510 + 0.0165276i
\(520\) −14126.6 + 11853.7i −1.19133 + 0.999649i
\(521\) 10807.6 + 18719.2i 0.908805 + 1.57410i 0.815726 + 0.578439i \(0.196338\pi\)
0.0930796 + 0.995659i \(0.470329\pi\)
\(522\) −2914.68 4571.65i −0.244391 0.383325i
\(523\) 5278.59 9142.79i 0.441332 0.764410i −0.556456 0.830877i \(-0.687839\pi\)
0.997789 + 0.0664670i \(0.0211727\pi\)
\(524\) 233.479 + 1324.12i 0.0194648 + 0.110391i
\(525\) −162.399 815.698i −0.0135003 0.0678095i
\(526\) −6514.00 + 2370.90i −0.539969 + 0.196533i
\(527\) −2891.78 + 1052.52i −0.239028 + 0.0869991i
\(528\) −802.771 4032.17i −0.0661669 0.332344i
\(529\) 278.065 + 1576.98i 0.0228540 + 0.129612i
\(530\) −7875.00 + 13639.9i −0.645411 + 1.11789i
\(531\) −4333.32 + 8331.25i −0.354144 + 0.680877i
\(532\) −144.817 250.830i −0.0118019 0.0204414i
\(533\) −1530.14 + 1283.94i −0.124349 + 0.104341i
\(534\) 1054.81 23.1979i 0.0854796 0.00187991i
\(535\) −5457.82 + 30952.8i −0.441051 + 2.50132i
\(536\) 15049.4 + 12627.9i 1.21275 + 1.01762i
\(537\) 8081.53 + 6483.82i 0.649430 + 0.521039i
\(538\) −13459.4 4898.83i −1.07858 0.392571i
\(539\) 8375.49 0.669309
\(540\) −1864.82 7603.84i −0.148609 0.605958i
\(541\) −12500.9 −0.993450 −0.496725 0.867908i \(-0.665464\pi\)
−0.496725 + 0.867908i \(0.665464\pi\)
\(542\) −2615.26 951.878i −0.207260 0.0754366i
\(543\) 14325.3 5573.65i 1.13215 0.440494i
\(544\) 3796.84 + 3185.93i 0.299243 + 0.251095i
\(545\) 6581.32 37324.5i 0.517271 2.93359i
\(546\) −155.096 255.490i −0.0121565 0.0200256i
\(547\) −1779.95 + 1493.56i −0.139132 + 0.116746i −0.709698 0.704506i \(-0.751168\pi\)
0.570566 + 0.821252i \(0.306724\pi\)
\(548\) −2465.62 4270.58i −0.192201 0.332902i
\(549\) −9105.42 + 3775.27i −0.707851 + 0.293487i
\(550\) 6756.25 11702.2i 0.523795 0.907240i
\(551\) −2357.14 13368.0i −0.182246 1.03357i
\(552\) −14212.5 4821.77i −1.09588 0.371790i
\(553\) −93.7630 + 34.1269i −0.00721014 + 0.00262428i
\(554\) −13204.7 + 4806.10i −1.01266 + 0.368577i
\(555\) −16235.2 + 14242.9i −1.24171 + 1.08933i
\(556\) −544.885 3090.20i −0.0415617 0.235708i
\(557\) 461.672 799.640i 0.0351197 0.0608291i −0.847931 0.530106i \(-0.822152\pi\)
0.883051 + 0.469277i \(0.155485\pi\)
\(558\) 1016.23 + 4576.44i 0.0770974 + 0.347197i
\(559\) 3024.43 + 5238.47i 0.228837 + 0.396357i
\(560\) 311.729 261.571i 0.0235231 0.0197382i
\(561\) −2444.56 + 4457.67i −0.183974 + 0.335478i
\(562\) −219.871 + 1246.95i −0.0165030 + 0.0935931i
\(563\) 5914.16 + 4962.57i 0.442722 + 0.371488i 0.836727 0.547621i \(-0.184466\pi\)
−0.394005 + 0.919108i \(0.628911\pi\)
\(564\) 300.260 1953.06i 0.0224171 0.145813i
\(565\) 42385.4 + 15427.0i 3.15605 + 1.14871i
\(566\) 14094.7 1.04672
\(567\) 474.849 41.8738i 0.0351707 0.00310147i
\(568\) −9116.42 −0.673445
\(569\) −10199.1 3712.18i −0.751441 0.273502i −0.0622291 0.998062i \(-0.519821\pi\)
−0.689212 + 0.724560i \(0.742043\pi\)
\(570\) −5232.43 + 34034.7i −0.384496 + 2.50098i
\(571\) −10739.6 9011.60i −0.787108 0.660462i 0.157920 0.987452i \(-0.449521\pi\)
−0.945028 + 0.326990i \(0.893966\pi\)
\(572\) −479.990 + 2722.16i −0.0350863 + 0.198984i
\(573\) 8427.69 15367.9i 0.614436 1.12043i
\(574\) 57.9877 48.6574i 0.00421665 0.00353819i
\(575\) −14361.1 24874.2i −1.04157 1.80404i
\(576\) 10717.1 9827.22i 0.775254 0.710881i
\(577\) 7531.32 13044.6i 0.543384 0.941169i −0.455322 0.890327i \(-0.650476\pi\)
0.998707 0.0508427i \(-0.0161907\pi\)
\(578\) −1298.36 7363.37i −0.0934337 0.529889i
\(579\) −2404.80 + 2109.68i −0.172608 + 0.151426i
\(580\) −4663.71 + 1697.45i −0.333879 + 0.121522i
\(581\) 299.340 108.951i 0.0213747 0.00777977i
\(582\) 12629.3 + 4284.65i 0.899489 + 0.305163i
\(583\) 1540.05 + 8734.08i 0.109404 + 0.620461i
\(584\) 6235.13 10799.6i 0.441800 0.765221i
\(585\) 2633.31 20055.4i 0.186109 1.41742i
\(586\) 4847.05 + 8395.34i 0.341689 + 0.591823i
\(587\) 20331.5 17060.2i 1.42959 1.19957i 0.483640 0.875267i \(-0.339314\pi\)
0.945953 0.324304i \(-0.105130\pi\)
\(588\) 2680.61 + 4415.79i 0.188004 + 0.309701i
\(589\) −2038.11 + 11558.7i −0.142578 + 0.808602i
\(590\) −11568.2 9706.87i −0.807212 0.677332i
\(591\) 3905.72 1519.63i 0.271844 0.105768i
\(592\) −6573.10 2392.41i −0.456339 0.166094i
\(593\) −15784.3 −1.09306 −0.546530 0.837440i \(-0.684051\pi\)
−0.546530 + 0.837440i \(0.684051\pi\)
\(594\) 6248.02 + 4576.27i 0.431581 + 0.316105i
\(595\) −503.206 −0.0346713
\(596\) −3417.76 1243.96i −0.234894 0.0854944i
\(597\) 2503.56 + 2008.61i 0.171631 + 0.137700i
\(598\) −7906.80 6634.59i −0.540690 0.453693i
\(599\) −2810.24 + 15937.7i −0.191692 + 1.08714i 0.725360 + 0.688369i \(0.241673\pi\)
−0.917052 + 0.398768i \(0.869438\pi\)
\(600\) 31301.2 688.393i 2.12978 0.0468392i
\(601\) −896.588 + 752.327i −0.0608529 + 0.0510616i −0.672707 0.739909i \(-0.734868\pi\)
0.611854 + 0.790971i \(0.290424\pi\)
\(602\) −114.617 198.522i −0.00775984 0.0134404i
\(603\) −21527.9 + 947.366i −1.45387 + 0.0639796i
\(604\) −3300.83 + 5717.21i −0.222366 + 0.385149i
\(605\) 2448.49 + 13886.1i 0.164538 + 0.933139i
\(606\) −564.958 2837.68i −0.0378711 0.190219i
\(607\) −19065.8 + 6939.39i −1.27489 + 0.464022i −0.888739 0.458414i \(-0.848418\pi\)
−0.386151 + 0.922436i \(0.626196\pi\)
\(608\) 17763.6 6465.43i 1.18489 0.431263i
\(609\) −59.0038 296.365i −0.00392603 0.0197197i
\(610\) −2752.49 15610.1i −0.182697 1.03612i
\(611\) 2552.61 4421.26i 0.169014 0.292741i
\(612\) −3132.60 + 137.854i −0.206908 + 0.00910526i
\(613\) −10440.8 18084.0i −0.687929 1.19153i −0.972507 0.232874i \(-0.925187\pi\)
0.284578 0.958653i \(-0.408146\pi\)
\(614\) −14139.9 + 11864.7i −0.929378 + 0.779841i
\(615\) 5121.78 112.641i 0.335821 0.00738556i
\(616\) 68.3351 387.548i 0.00446965 0.0253486i
\(617\) 5761.74 + 4834.68i 0.375946 + 0.315457i 0.811109 0.584896i \(-0.198865\pi\)
−0.435162 + 0.900352i \(0.643309\pi\)
\(618\) −3679.97 2952.44i −0.239531 0.192176i
\(619\) −18420.0 6704.35i −1.19606 0.435332i −0.334216 0.942497i \(-0.608471\pi\)
−0.861849 + 0.507165i \(0.830694\pi\)
\(620\) 4291.27 0.277970
\(621\) 15064.5 6637.86i 0.973461 0.428934i
\(622\) −3619.20 −0.233307
\(623\) 55.2578 + 20.1122i 0.00355354 + 0.00129338i
\(624\) 6105.47 2375.50i 0.391690 0.152397i
\(625\) 10491.1 + 8803.10i 0.671432 + 0.563398i
\(626\) 4280.03 24273.3i 0.273266 1.54977i
\(627\) 10061.9 + 16575.1i 0.640884 + 1.05573i
\(628\) 2057.54 1726.48i 0.130740 0.109704i
\(629\) 4324.91 + 7490.97i 0.274158 + 0.474856i
\(630\) −99.7942 + 760.037i −0.00631094 + 0.0480644i
\(631\) −9209.77 + 15951.8i −0.581038 + 1.00639i 0.414318 + 0.910132i \(0.364020\pi\)
−0.995357 + 0.0962559i \(0.969313\pi\)
\(632\) −652.247 3699.07i −0.0410522 0.232818i
\(633\) −13045.1 4425.71i −0.819110 0.277893i
\(634\) 3479.88 1266.57i 0.217987 0.0793408i
\(635\) −20317.9 + 7395.10i −1.26975 + 0.462151i
\(636\) −4111.95 + 3607.33i −0.256367 + 0.224906i
\(637\) 2317.55 + 13143.5i 0.144152 + 0.817525i
\(638\) 2454.73 4251.71i 0.152325 0.263835i
\(639\) 7370.14 6758.16i 0.456273 0.418386i
\(640\) 2164.69 + 3749.35i 0.133698 + 0.231572i
\(641\) −14688.2 + 12324.9i −0.905069 + 0.759443i −0.971174 0.238370i \(-0.923387\pi\)
0.0661057 + 0.997813i \(0.478943\pi\)
\(642\) 9220.55 16813.7i 0.566832 1.03362i
\(643\) 3093.64 17544.9i 0.189737 1.07605i −0.729979 0.683470i \(-0.760470\pi\)
0.919716 0.392584i \(-0.128419\pi\)
\(644\) −170.570 143.125i −0.0104369 0.00875764i
\(645\) 2357.39 15333.8i 0.143910 0.936072i
\(646\) 12959.5 + 4716.88i 0.789296 + 0.287280i
\(647\) 8729.68 0.530447 0.265223 0.964187i \(-0.414554\pi\)
0.265223 + 0.964187i \(0.414554\pi\)
\(648\) −1551.65 + 17877.4i −0.0940656 + 1.08378i
\(649\) −8503.49 −0.514316
\(650\) 20233.5 + 7364.38i 1.22096 + 0.444392i
\(651\) −39.7025 + 258.247i −0.00239026 + 0.0155476i
\(652\) 395.568 + 331.921i 0.0237602 + 0.0199371i
\(653\) 970.271 5502.68i 0.0581464 0.329765i −0.941834 0.336080i \(-0.890899\pi\)
0.999980 + 0.00631463i \(0.00201002\pi\)
\(654\) −11118.6 + 20274.8i −0.664789 + 1.21225i
\(655\) 6825.05 5726.90i 0.407140 0.341631i
\(656\) 829.625 + 1436.95i 0.0493772 + 0.0855238i
\(657\) 2965.14 + 13353.1i 0.176075 + 0.792927i
\(658\) −96.7362 + 167.552i −0.00573126 + 0.00992683i
\(659\) 5652.44 + 32056.6i 0.334124 + 1.89491i 0.435712 + 0.900086i \(0.356496\pi\)
−0.101588 + 0.994827i \(0.532392\pi\)
\(660\) 5329.29 4675.29i 0.314307 0.275735i
\(661\) 14602.3 5314.82i 0.859252 0.312742i 0.125445 0.992101i \(-0.459964\pi\)
0.733806 + 0.679359i \(0.237742\pi\)
\(662\) −14793.1 + 5384.26i −0.868507 + 0.316111i
\(663\) −7671.75 2602.73i −0.449391 0.152461i
\(664\) 2082.31 + 11809.4i 0.121701 + 0.690199i
\(665\) −959.606 + 1662.09i −0.0559578 + 0.0969217i
\(666\) 12172.0 5046.72i 0.708190 0.293628i
\(667\) −5217.78 9037.46i −0.302899 0.524636i
\(668\) 2832.79 2376.99i 0.164078 0.137678i
\(669\) −4979.81 8203.28i −0.287788 0.474076i
\(670\) 6017.29 34125.8i 0.346968 1.96775i
\(671\) −6837.46 5737.31i −0.393379 0.330084i
\(672\) 392.182 152.589i 0.0225130 0.00875931i
\(673\) 3858.21 + 1404.28i 0.220985 + 0.0804321i 0.450140 0.892958i \(-0.351374\pi\)
−0.229155 + 0.973390i \(0.573596\pi\)
\(674\) −21170.7 −1.20989
\(675\) −24795.0 + 23760.7i −1.41387 + 1.35489i
\(676\) 1971.06 0.112145
\(677\) −4112.42 1496.80i −0.233461 0.0849729i 0.222640 0.974901i \(-0.428532\pi\)
−0.456102 + 0.889928i \(0.650755\pi\)
\(678\) −21465.0 17221.4i −1.21587 0.975491i
\(679\) 569.403 + 477.786i 0.0321821 + 0.0270040i
\(680\) 3289.36 18654.9i 0.185502 1.05203i
\(681\) −6540.69 + 143.846i −0.368047 + 0.00809428i
\(682\) −3251.83 + 2728.61i −0.182579 + 0.153202i
\(683\) 6487.22 + 11236.2i 0.363436 + 0.629489i 0.988524 0.151065i \(-0.0482703\pi\)
−0.625088 + 0.780554i \(0.714937\pi\)
\(684\) −5518.48 + 10609.8i −0.308486 + 0.593095i
\(685\) −16338.1 + 28298.4i −0.911309 + 1.57843i
\(686\) −175.765 996.816i −0.00978244 0.0554790i
\(687\) −2060.65 10350.3i −0.114438 0.574800i
\(688\) 4721.64 1718.54i 0.261644 0.0952306i
\(689\) −13280.1 + 4833.55i −0.734296 + 0.267262i
\(690\) 5169.00 + 25962.9i 0.285189 + 1.43245i
\(691\) −135.781 770.053i −0.00747519 0.0423939i 0.980842 0.194805i \(-0.0624074\pi\)
−0.988317 + 0.152411i \(0.951296\pi\)
\(692\) 2481.86 4298.70i 0.136338 0.236145i
\(693\) 232.051 + 363.970i 0.0127199 + 0.0199510i
\(694\) −1474.85 2554.51i −0.0806694 0.139723i
\(695\) −15928.1 + 13365.2i −0.869333 + 0.729457i
\(696\) 11372.6 250.112i 0.619362 0.0136213i
\(697\) 356.291 2020.63i 0.0193622 0.109809i
\(698\) 6828.97 + 5730.19i 0.370316 + 0.310732i
\(699\) −17831.9 14306.6i −0.964900 0.774140i
\(700\) 436.488 + 158.869i 0.0235681 + 0.00857809i
\(701\) 15155.3 0.816556 0.408278 0.912858i \(-0.366129\pi\)
0.408278 + 0.912858i \(0.366129\pi\)
\(702\) −5452.58 + 11071.2i −0.293154 + 0.595234i
\(703\) 32990.2 1.76991
\(704\) 12372.7 + 4503.28i 0.662376 + 0.241085i
\(705\) −12202.6 + 4747.77i −0.651883 + 0.253633i
\(706\) 3526.91 + 2959.43i 0.188013 + 0.157761i
\(707\) 28.0029 158.812i 0.00148962 0.00844803i
\(708\) −2721.57 4483.27i −0.144468 0.237983i
\(709\) 13564.5 11382.0i 0.718515 0.602905i −0.208459 0.978031i \(-0.566845\pi\)
0.926974 + 0.375126i \(0.122400\pi\)
\(710\) 8040.08 + 13925.8i 0.424984 + 0.736094i
\(711\) 3269.50 + 2506.98i 0.172455 + 0.132235i
\(712\) −1106.81 + 1917.05i −0.0582578 + 0.100905i
\(713\) 1566.85 + 8886.03i 0.0822986 + 0.466738i
\(714\) 290.736 + 98.6356i 0.0152388 + 0.00516995i
\(715\) 17211.6 6264.52i 0.900250 0.327664i
\(716\) −5437.57 + 1979.11i −0.283815 + 0.103300i
\(717\) 19907.8 17464.7i 1.03692 0.909669i
\(718\) 2563.15 + 14536.3i 0.133226 + 0.755559i
\(719\) 9827.59 17021.9i 0.509746 0.882906i −0.490190 0.871615i \(-0.663073\pi\)
0.999936 0.0112904i \(-0.00359394\pi\)
\(720\) −16026.7 5047.11i −0.829553 0.261243i
\(721\) −131.478 227.726i −0.00679124 0.0117628i
\(722\) 28429.9 23855.5i 1.46545 1.22965i
\(723\) 9881.86 18019.6i 0.508313 0.926912i
\(724\) −1490.73 + 8454.36i −0.0765229 + 0.433983i
\(725\) 16676.6 + 13993.3i 0.854281 + 0.716827i
\(726\) 1307.21 8502.85i 0.0668254 0.434670i
\(727\) −24052.7 8754.46i −1.22705 0.446609i −0.354463 0.935070i \(-0.615336\pi\)
−0.872586 + 0.488461i \(0.837559\pi\)
\(728\) 627.080 0.0319246
\(729\) −11998.4 15603.2i −0.609582 0.792723i
\(730\) −21995.9 −1.11521
\(731\) −5838.70 2125.11i −0.295420 0.107524i
\(732\) 836.512 5441.14i 0.0422382 0.274741i
\(733\) 20321.3 + 17051.6i 1.02399 + 0.859231i 0.990124 0.140195i \(-0.0447730\pi\)
0.0338680 + 0.999426i \(0.489217\pi\)
\(734\) −1681.57 + 9536.65i −0.0845611 + 0.479570i
\(735\) 16459.1 30013.2i 0.825989 1.50619i
\(736\) 11132.7 9341.43i 0.557549 0.467839i
\(737\) −9756.33 16898.5i −0.487624 0.844590i
\(738\) −2981.27 938.862i −0.148702 0.0468293i
\(739\) 2964.87 5135.30i 0.147584 0.255622i −0.782750 0.622336i \(-0.786184\pi\)
0.930334 + 0.366714i \(0.119517\pi\)
\(740\) −2094.52 11878.6i −0.104049 0.590091i
\(741\) −23226.7 + 20376.4i −1.15149 + 1.01018i
\(742\) 503.273 183.177i 0.0248999 0.00906283i
\(743\) −34440.9 + 12535.5i −1.70056 + 0.618953i −0.995889 0.0905835i \(-0.971127\pi\)
−0.704669 + 0.709536i \(0.748905\pi\)
\(744\) −9314.24 3159.97i −0.458974 0.155712i
\(745\) 4185.04 + 23734.6i 0.205810 + 1.16720i
\(746\) −4989.82 + 8642.63i −0.244893 + 0.424168i
\(747\) −10437.9 8003.58i −0.511250 0.392016i
\(748\) −1419.67 2458.95i −0.0693962 0.120198i
\(749\) 818.730 686.996i 0.0399409 0.0335144i
\(750\) −14023.1 23100.4i −0.682735 1.12467i
\(751\) 6829.61 38732.6i 0.331846 1.88199i −0.124551 0.992213i \(-0.539749\pi\)
0.456396 0.889777i \(-0.349140\pi\)
\(752\) −3248.65 2725.94i −0.157535 0.132187i
\(753\) 2431.88 946.188i 0.117693 0.0457915i
\(754\) 7351.36 + 2675.68i 0.355067 + 0.129234i
\(755\) 43744.9 2.10866
\(756\) −117.626 + 238.833i −0.00565876 + 0.0114898i
\(757\) 15815.2 0.759330 0.379665 0.925124i \(-0.376039\pi\)
0.379665 + 0.925124i \(0.376039\pi\)
\(758\) −4723.16 1719.09i −0.226323 0.0823748i
\(759\) 11627.1 + 9328.41i 0.556042 + 0.446113i
\(760\) −55344.3 46439.4i −2.64151 2.21649i
\(761\) −767.663 + 4353.63i