Properties

Label 27.4.e.a.7.3
Level 27
Weight 4
Character 27.7
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 7.3
Character \(\chi\) = 27.7
Dual form 27.4.e.a.4.3

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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 −0.688663 0.725081i \(-0.741802\pi\)
−0.0614736 + 0.998109i \(0.519580\pi\)
\(3\) −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 −0.651911 0.758295i \(-0.726033\pi\)
0.353244 0.935531i \(-0.385079\pi\)
\(6\) 5.64131 + 10.2870i 0.383843 + 0.699939i
\(7\) 0.500915 + 0.420318i 0.0270469 + 0.0226950i 0.656211 0.754578i \(-0.272158\pi\)
−0.629164 + 0.777273i \(0.716603\pi\)
\(8\) 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 0.869694 + 0.493592i \(0.164316\pi\)
−0.986063 + 0.166372i \(0.946795\pi\)
\(12\) 11.3355 + 9.94439i 0.272689 + 0.239225i
\(13\) 36.6094 + 13.3247i 0.781047 + 0.284278i 0.701609 0.712562i \(-0.252465\pi\)
0.0794378 + 0.996840i \(0.474687\pi\)
\(14\) −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 0.687253 0.726418i \(-0.258816\pi\)
−0.972723 + 0.231970i \(0.925483\pi\)
\(18\) 48.3777 37.0950i 0.633485 0.485743i
\(19\) 76.3151 132.182i 0.921467 1.59603i 0.124321 0.992242i \(-0.460325\pi\)
0.797146 0.603786i \(-0.206342\pi\)
\(20\) 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 −0.136874 0.990588i \(-0.543706\pi\)
0.951771 + 0.306809i \(0.0992613\pi\)
\(24\) −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 −0.595430 0.803407i \(-0.703018\pi\)
0.0602939 + 0.998181i \(0.480796\pi\)
\(30\) 175.972 141.183i 1.07093 0.859212i
\(31\) 58.9074 49.4292i 0.341293 0.286379i −0.455990 0.889985i \(-0.650715\pi\)
0.797283 + 0.603606i \(0.206270\pi\)
\(32\) 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 0.999742 0.0227269i \(-0.00723483\pi\)
−0.519553 + 0.854438i \(0.673901\pi\)
\(38\) −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 0.248626 0.968600i \(-0.420021\pi\)
−0.432145 + 0.901804i \(0.642243\pi\)
\(42\) −1.49797 + 7.52404i −0.00550338 + 0.0276425i
\(43\) 26.9611 152.904i 0.0956169 0.542271i −0.898940 0.438073i \(-0.855661\pi\)
0.994557 0.104198i \(-0.0332276\pi\)
\(44\) −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 0.785129 0.619332i \(-0.212597\pi\)
−0.473587 + 0.880747i \(0.657041\pi\)
\(48\) 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 0.976049 + 0.217551i \(0.0698069\pi\)
−0.842779 + 0.538260i \(0.819082\pi\)
\(60\) 150.471 247.872i 0.323762 0.533336i
\(61\) 279.664 + 234.666i 0.587006 + 0.492556i 0.887239 0.461310i \(-0.152620\pi\)
−0.300234 + 0.953866i \(0.597065\pi\)
\(62\) −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 0.918370 0.395723i \(-0.129506\pi\)
0.449146 + 0.893458i \(0.351728\pi\)
\(68\) 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 0.668731 0.743505i \(-0.266838\pi\)
−0.978259 + 0.207385i \(0.933505\pi\)
\(72\) −144.073 + 648.811i −0.235821 + 1.06199i
\(73\) −253.302 + 438.733i −0.406121 + 0.703421i −0.994451 0.105199i \(-0.966452\pi\)
0.588331 + 0.808620i \(0.299785\pi\)
\(74\) −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 −0.442101 0.896965i \(-0.645767\pi\)
0.237889 + 0.971292i \(0.423544\pi\)
\(80\) 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 −0.0210932 0.999778i \(-0.506715\pi\)
0.626486 + 0.779432i \(0.284492\pi\)
\(84\) 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 −0.838006 0.545661i \(-0.816279\pi\)
0.891559 + 0.452904i \(0.149612\pi\)
\(90\) −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 −0.688255 0.725468i \(-0.741623\pi\)
0.894873 0.446320i \(-0.147266\pi\)
\(98\) 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 0.731087 0.682284i \(-0.239013\pi\)
−0.544967 + 0.838458i \(0.683458\pi\)
\(102\) 243.638 401.348i 0.236508 0.389601i
\(103\) 69.8300 + 396.026i 0.0668015 + 0.378850i 0.999819 + 0.0190194i \(0.00605442\pi\)
−0.933018 + 0.359831i \(0.882834\pi\)
\(104\) 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 0.382403 + 0.923996i \(0.375097\pi\)
−0.0433162 + 0.999061i \(0.513792\pi\)
\(114\) 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 −0.600007 0.799994i \(-0.704836\pi\)
0.992819 + 0.119624i \(0.0381690\pi\)
\(128\) 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 −0.753427 0.657532i \(-0.771601\pi\)
0.516711 + 0.856160i \(0.327156\pi\)
\(132\) −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 0.207825 0.978166i \(-0.433362\pi\)
0.787956 + 0.615731i \(0.211139\pi\)
\(138\) 1282.96 + 499.170i 0.791396 + 0.307914i
\(139\) 828.306 695.032i 0.505439 0.424114i −0.354082 0.935214i \(-0.615207\pi\)
0.859521 + 0.511101i \(0.170762\pi\)
\(140\) 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 0.644846 0.764313i \(-0.276922\pi\)
0.00269001 + 0.999996i \(0.499144\pi\)
\(150\) −2158.83 1893.91i −1.17512 1.03091i
\(151\) −395.026 + 2240.30i −0.212892 + 1.20737i 0.671634 + 0.740883i \(0.265593\pi\)
−0.884526 + 0.466490i \(0.845518\pi\)
\(152\) −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 −0.998020 0.0628948i \(-0.979967\pi\)
0.916321 0.400445i \(-0.131144\pi\)
\(158\) 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 −0.992178 0.124835i \(-0.960160\pi\)
0.889646 0.456651i \(-0.150951\pi\)
\(168\) −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 −0.847339 0.531053i \(-0.821797\pi\)
0.977869 0.209219i \(-0.0670923\pi\)
\(174\) −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 0.995564 0.0940815i \(-0.0299914\pi\)
−0.579259 + 0.815143i \(0.696658\pi\)
\(180\) −1391.83 577.079i −0.576340 0.238961i
\(181\) −1479.11 + 2561.90i −0.607412 + 1.05207i 0.384253 + 0.923228i \(0.374459\pi\)
−0.991665 + 0.128841i \(0.958874\pi\)
\(182\) −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 −0.863497 0.504354i \(-0.831731\pi\)
−0.337285 + 0.941403i \(0.609509\pi\)
\(192\) −2182.69 + 1751.18i −0.820428 + 0.658231i
\(193\) 471.618 395.735i 0.175895 0.147594i −0.550590 0.834776i \(-0.685597\pi\)
0.726485 + 0.687182i \(0.241153\pi\)
\(194\) 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 −0.929689 0.368346i \(-0.879924\pi\)
0.783841 + 0.620961i \(0.213258\pi\)
\(198\) 687.763 + 1322.29i 0.246855 + 0.474603i
\(199\) 308.855 + 534.953i 0.110021 + 0.190562i 0.915778 0.401684i \(-0.131575\pi\)
−0.805758 + 0.592246i \(0.798242\pi\)
\(200\) −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 −0.963044 0.269344i \(-0.913193\pi\)
0.812844 0.582481i \(-0.197918\pi\)
\(212\) 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 0.405160 0.914246i \(-0.367216\pi\)
−0.830001 + 0.557762i \(0.811660\pi\)
\(224\) −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 −0.936018 0.351953i \(-0.885518\pi\)
0.999944 0.0105904i \(-0.00337109\pi\)
\(228\) 2179.53 739.433i 0.633084 0.214781i
\(229\) −1908.52 694.645i −0.550736 0.200452i 0.0516373 0.998666i \(-0.483556\pi\)
−0.602374 + 0.798214i \(0.705778\pi\)
\(230\) 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 −0.989754 0.142784i \(-0.954395\pi\)
0.371222 0.928544i \(-0.378939\pi\)
\(234\) 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 −0.993779 0.111370i \(-0.964476\pi\)
−0.0628898 + 0.998020i \(0.520032\pi\)
\(240\) −491.365 3196.11i −0.132156 0.859617i
\(241\) −3716.59 + 1352.73i −0.993388 + 0.361564i −0.787031 0.616913i \(-0.788383\pi\)
−0.206357 + 0.978477i \(0.566161\pi\)
\(242\) −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 −0.895869 0.444318i \(-0.853446\pi\)
0.832725 + 0.553686i \(0.186779\pi\)
\(252\) 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 0.375860 0.926676i \(-0.377347\pi\)
−0.307731 + 0.951473i \(0.599570\pi\)
\(258\) 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 0.875421 0.483360i \(-0.160584\pi\)
−0.324002 + 0.946057i \(0.605028\pi\)
\(264\) 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 0.991337 0.131345i \(-0.0419295\pi\)
0.0427944 + 0.999084i \(0.486374\pi\)
\(278\) −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 −0.993398 0.114718i \(-0.963403\pi\)
0.972725 + 0.231962i \(0.0745145\pi\)
\(282\) −300.194 + 1507.82i −0.0633912 + 0.318402i
\(283\) −5865.99 2135.05i −1.23215 0.448464i −0.357814 0.933793i \(-0.616478\pi\)
−0.874332 + 0.485329i \(0.838700\pi\)
\(284\) 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 −0.908820 0.417189i \(-0.863015\pi\)
0.253036 + 0.967457i \(0.418571\pi\)
\(294\) 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 0.942904 + 0.333066i \(0.108083\pi\)
−0.183009 + 0.983111i \(0.558584\pi\)
\(308\) 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 0.475667 0.879626i \(-0.342207\pi\)
−0.201031 + 0.979585i \(0.564429\pi\)
\(312\) −3745.88 3286.19i −0.679708 0.596295i
\(313\) 1895.60 10750.5i 0.342319 1.94139i 0.00502124 0.999987i \(-0.498402\pi\)
0.337297 0.941398i \(-0.390487\pi\)
\(314\) 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 0.524661 0.851311i \(-0.324192\pi\)
−0.747271 + 0.664519i \(0.768636\pi\)
\(318\) −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 0.967591 0.252523i \(-0.0812603\pi\)
−0.0806662 + 0.996741i \(0.525705\pi\)
\(332\) −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 0.935268 0.353941i \(-0.115158\pi\)
0.488948 + 0.872313i \(0.337381\pi\)
\(338\) 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 −0.562085 0.827079i \(-0.690001\pi\)
0.716909 + 0.697167i \(0.245556\pi\)
\(348\) −1249.82 486.275i −0.192520 0.0749053i
\(349\) −3710.11 + 1350.37i −0.569048 + 0.207117i −0.610490 0.792024i \(-0.709027\pi\)
0.0414413 + 0.999141i \(0.486805\pi\)
\(350\) 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 −0.482410 0.875945i \(-0.660239\pi\)
0.193499 + 0.981100i \(0.438016\pi\)
\(354\) −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 −0.999751 0.0223230i \(-0.992894\pi\)
0.519208 + 0.854648i \(0.326227\pi\)
\(360\) 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 0.884916 + 0.465751i \(0.154216\pi\)
−0.990845 + 0.135004i \(0.956895\pi\)
\(368\) 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 0.990593 + 0.136841i \(0.0436949\pi\)
−0.884051 + 0.467391i \(0.845194\pi\)
\(374\) −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 0.938079 + 0.346420i \(0.112603\pi\)
−0.763023 + 0.646371i \(0.776286\pi\)
\(384\) 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 0.264733 + 0.964322i \(0.414716\pi\)
−0.578585 + 0.815622i \(0.696395\pi\)
\(390\) 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 −0.806028 0.591877i \(-0.798387\pi\)
0.915595 + 0.402102i \(0.131720\pi\)
\(398\) −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 −0.901593 0.432586i \(-0.857601\pi\)
0.269454 + 0.963013i \(0.413157\pi\)
\(402\) 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 −0.861847 0.507169i \(-0.830692\pi\)
0.349806 + 0.936822i \(0.386248\pi\)
\(410\) −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 0.499498 0.866315i \(-0.333518\pi\)
−0.174219 + 0.984707i \(0.555740\pi\)
\(420\) 179.558 60.9173i 0.0208608 0.00707729i
\(421\) 1591.00 9023.02i 0.184182 1.04455i −0.742819 0.669492i \(-0.766512\pi\)
0.927002 0.375057i \(-0.122377\pi\)
\(422\) 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 −0.115245 0.993337i \(-0.536765\pi\)
−0.998258 + 0.0589972i \(0.981210\pi\)
\(440\) 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 −0.933888 0.357567i \(-0.883606\pi\)
0.999862 0.0165945i \(-0.00528243\pi\)
\(444\) −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 −0.960186 0.279361i \(-0.909877\pi\)
0.238159 0.971226i \(-0.423456\pi\)
\(450\) −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 −0.893786 0.448494i \(-0.851961\pi\)
−0.396393 + 0.918081i \(0.629738\pi\)
\(458\) 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 −0.932475 0.361235i \(-0.882355\pi\)
−0.482120 + 0.876105i \(0.660133\pi\)
\(462\) −174.799 68.0105i −0.0176026 0.00684877i
\(463\) −4001.92 + 3358.01i −0.401696 + 0.337063i −0.821149 0.570714i \(-0.806666\pi\)
0.419453 + 0.907777i \(0.362222\pi\)
\(464\) −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 −0.825351 0.564620i \(-0.809023\pi\)
0.901651 + 0.432465i \(0.142356\pi\)
\(468\) 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 0.964277 0.264896i \(-0.0853376\pi\)
−0.0934265 + 0.995626i \(0.529782\pi\)
\(480\) −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 0.999827 + 0.0185957i \(0.00591952\pi\)
−0.933170 + 0.359435i \(0.882969\pi\)
\(492\) −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 0.621835 0.783148i \(-0.286387\pi\)
−0.0270449 + 0.999634i \(0.508610\pi\)
\(500\) −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 0.672719 0.739898i \(-0.265126\pi\)
−0.977130 + 0.212643i \(0.931793\pi\)
\(504\) −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 0.176216 0.984352i \(-0.443614\pi\)
0.999997 0.00260759i \(-0.000830024\pi\)
\(510\) −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 0.0930796 0.995659i \(-0.470329\pi\)
0.815726 0.578439i \(-0.196338\pi\)
\(522\) −2914.68 + 4571.65i −0.244391 + 0.383325i
\(523\) 5278.59 + 9142.79i 0.441332 + 0.764410i 0.997789 0.0664670i \(-0.0211727\pi\)
−0.556456 + 0.830877i \(0.687839\pi\)
\(524\) 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 0.570566 0.821252i \(-0.306724\pi\)
−0.709698 + 0.704506i \(0.751168\pi\)
\(548\) −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 0.883051 0.469277i \(-0.155485\pi\)
−0.847931 + 0.530106i \(0.822152\pi\)
\(558\) 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 −0.394005 0.919108i \(-0.628911\pi\)
0.836727 + 0.547621i \(0.184466\pi\)
\(564\) 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 −0.689212 0.724560i \(-0.742043\pi\)
−0.0622291 + 0.998062i \(0.519821\pi\)
\(570\) −5232.43 34034.7i −0.384496 2.50098i
\(571\) −10739.6 + 9011.60i −0.787108 + 0.660462i −0.945028 0.326990i \(-0.893966\pi\)
0.157920 + 0.987452i \(0.449521\pi\)
\(572\) −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 0.998707 + 0.0508427i \(0.0161907\pi\)
−0.455322 + 0.890327i \(0.650476\pi\)
\(578\) −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 0.945953 + 0.324304i \(0.105130\pi\)
0.483640 + 0.875267i \(0.339314\pi\)
\(588\) 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 −0.917052 0.398768i \(-0.869438\pi\)
0.725360 0.688369i \(-0.241673\pi\)
\(600\) 31301.2 + 688.393i 2.12978 + 0.0468392i
\(601\) −896.588 752.327i −0.0608529 0.0510616i 0.611854 0.790971i \(-0.290424\pi\)
−0.672707 + 0.739909i \(0.734868\pi\)
\(602\) −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 −0.386151 0.922436i \(-0.626196\pi\)
−0.888739 + 0.458414i \(0.848418\pi\)
\(608\) 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 0.284578 + 0.958653i \(0.408146\pi\)
−0.972507 + 0.232874i \(0.925187\pi\)
\(614\) −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 −0.435162 0.900352i \(-0.643309\pi\)
0.811109 + 0.584896i \(0.198865\pi\)
\(618\) −3679.97 + 2952.44i −0.239531 + 0.192176i
\(619\) −18420.0 + 6704.35i −1.19606 + 0.435332i −0.861849 0.507165i \(-0.830694\pi\)
−0.334216 + 0.942497i \(0.608471\pi\)
\(620\) 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 −0.995357 0.0962559i \(-0.969313\pi\)
0.414318 0.910132i \(-0.364020\pi\)
\(632\) −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 0.0661057 0.997813i \(-0.478943\pi\)
−0.971174 + 0.238370i \(0.923387\pi\)
\(642\) 9220.55 + 16813.7i 0.566832 + 1.03362i
\(643\) 3093.64 + 17544.9i 0.189737 + 1.07605i 0.919716 + 0.392584i \(0.128419\pi\)
−0.729979 + 0.683470i \(0.760470\pi\)
\(644\) −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 0.999980 0.00631463i \(-0.00201002\pi\)
−0.941834 + 0.336080i \(0.890899\pi\)
\(654\) −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 −0.101588 0.994827i \(-0.532392\pi\)
0.435712 0.900086i \(-0.356496\pi\)
\(660\) 5329.29 + 4675.29i 0.314307 + 0.275735i
\(661\) 14602.3 + 5314.82i 0.859252 + 0.312742i 0.733806 0.679359i \(-0.237742\pi\)
0.125445 + 0.992101i \(0.459964\pi\)
\(662\) −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 −0.229155 0.973390i \(-0.573596\pi\)
0.450140 + 0.892958i \(0.351374\pi\)
\(674\) −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 −0.456102 0.889928i \(-0.650755\pi\)
0.222640 + 0.974901i \(0.428532\pi\)
\(678\) −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 −0.625088 0.780554i \(-0.714937\pi\)
0.988524 + 0.151065i \(0.0482703\pi\)
\(684\) −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 −0.988317 0.152411i \(-0.951296\pi\)
0.980842 + 0.194805i \(0.0624074\pi\)
\(692\) 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 0.926974 0.375126i \(-0.122400\pi\)
−0.208459 + 0.978031i \(0.566845\pi\)
\(710\) 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 0.999936 + 0.0112904i \(0.00359394\pi\)
−0.490190 + 0.871615i \(0.663073\pi\)
\(720\) −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 −0.872586 0.488461i \(-0.837559\pi\)
−0.354463 + 0.935070i \(0.615336\pi\)
\(728\) 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 0.0338680 0.999426i \(-0.489217\pi\)
0.990124 + 0.140195i \(0.0447730\pi\)
\(734\) −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 0.930334 0.366714i \(-0.119517\pi\)
−0.782750 + 0.622336i \(0.786184\pi\)
\(740\) −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 −0.704669 0.709536i \(-0.748905\pi\)
−0.995889 + 0.0905835i \(0.971127\pi\)
\(744\) −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 0.456396 + 0.889777i \(0.349140\pi\)
−0.124551 + 0.992213i \(0.539749\pi\)
\(752\) −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