Properties

Label 108.4.l.a.11.2
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.81863 + 0.235239i) q^{2} +(-0.238051 - 5.19070i) q^{3} +(7.88933 - 1.32610i) q^{4} +(5.65263 - 15.5305i) q^{5} +(1.89203 + 14.5746i) q^{6} +(28.8083 + 5.07968i) q^{7} +(-21.9251 + 5.59366i) q^{8} +(-26.8867 + 2.47130i) q^{9} +O(q^{10})\) \(q+(-2.81863 + 0.235239i) q^{2} +(-0.238051 - 5.19070i) q^{3} +(7.88933 - 1.32610i) q^{4} +(5.65263 - 15.5305i) q^{5} +(1.89203 + 14.5746i) q^{6} +(28.8083 + 5.07968i) q^{7} +(-21.9251 + 5.59366i) q^{8} +(-26.8867 + 2.47130i) q^{9} +(-12.2793 + 45.1044i) q^{10} +(42.0040 - 15.2882i) q^{11} +(-8.76146 - 40.6354i) q^{12} +(-18.8951 + 15.8549i) q^{13} +(-82.3949 - 7.54090i) q^{14} +(-81.9596 - 25.6440i) q^{15} +(60.4829 - 20.9241i) q^{16} +(20.5873 - 11.8861i) q^{17} +(75.2022 - 13.2905i) q^{18} +(-18.5845 - 10.7297i) q^{19} +(24.0005 - 130.021i) q^{20} +(19.5092 - 150.744i) q^{21} +(-114.797 + 52.9727i) q^{22} +(-27.8252 - 157.804i) q^{23} +(34.2543 + 112.475i) q^{24} +(-113.488 - 95.2277i) q^{25} +(49.5286 - 49.1339i) q^{26} +(19.2282 + 138.972i) q^{27} +(234.014 + 1.87251i) q^{28} +(-143.625 + 171.166i) q^{29} +(237.046 + 53.0009i) q^{30} +(-25.3941 + 4.47767i) q^{31} +(-165.557 + 73.2052i) q^{32} +(-89.3555 - 214.391i) q^{33} +(-55.2319 + 38.3454i) q^{34} +(241.733 - 418.693i) q^{35} +(-208.840 + 55.1514i) q^{36} +(23.9890 + 41.5501i) q^{37} +(54.9067 + 25.8714i) q^{38} +(86.7960 + 94.3046i) q^{39} +(-37.0624 + 372.127i) q^{40} +(-210.327 - 250.658i) q^{41} +(-19.5283 + 429.482i) q^{42} +(137.642 + 378.168i) q^{43} +(311.110 - 176.315i) q^{44} +(-113.600 + 431.532i) q^{45} +(115.551 + 438.247i) q^{46} +(-37.0973 + 210.389i) q^{47} +(-123.009 - 308.967i) q^{48} +(481.801 + 175.361i) q^{49} +(342.281 + 241.715i) q^{50} +(-66.5979 - 104.033i) q^{51} +(-128.045 + 150.141i) q^{52} +493.627i q^{53} +(-86.8887 - 387.188i) q^{54} -738.761i q^{55} +(-660.040 + 49.7714i) q^{56} +(-51.2708 + 99.0205i) q^{57} +(364.562 - 516.240i) q^{58} +(216.873 + 78.9353i) q^{59} +(-680.613 - 93.6274i) q^{60} +(38.2585 - 216.975i) q^{61} +(70.5232 - 18.5946i) q^{62} +(-787.113 - 65.3817i) q^{63} +(449.422 - 245.284i) q^{64} +(139.427 + 383.072i) q^{65} +(302.293 + 583.268i) q^{66} +(-41.7252 - 49.7261i) q^{67} +(146.658 - 121.074i) q^{68} +(-812.491 + 181.998i) q^{69} +(-582.862 + 1237.01i) q^{70} +(-111.513 - 193.146i) q^{71} +(575.670 - 204.579i) q^{72} +(464.450 - 804.451i) q^{73} +(-77.3902 - 111.471i) q^{74} +(-467.282 + 611.750i) q^{75} +(-160.848 - 60.0055i) q^{76} +(1287.72 - 227.060i) q^{77} +(-266.830 - 245.392i) q^{78} +(521.573 - 621.586i) q^{79} +(16.9263 - 1057.60i) q^{80} +(716.785 - 132.890i) q^{81} +(651.797 + 657.033i) q^{82} +(772.767 + 648.429i) q^{83} +(-45.9877 - 1215.14i) q^{84} +(-68.2242 - 386.919i) q^{85} +(-476.921 - 1033.54i) q^{86} +(922.661 + 704.770i) q^{87} +(-835.426 + 570.152i) q^{88} +(-768.467 - 443.674i) q^{89} +(218.683 - 1243.05i) q^{90} +(-624.875 + 360.772i) q^{91} +(-428.787 - 1208.07i) q^{92} +(29.2873 + 130.747i) q^{93} +(55.0718 - 601.736i) q^{94} +(-271.689 + 227.974i) q^{95} +(419.397 + 841.928i) q^{96} +(-775.061 + 282.099i) q^{97} +(-1399.27 - 380.940i) q^{98} +(-1091.57 + 514.853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.81863 + 0.235239i −0.996535 + 0.0831695i
\(3\) −0.238051 5.19070i −0.0458129 0.998950i
\(4\) 7.88933 1.32610i 0.986166 0.165763i
\(5\) 5.65263 15.5305i 0.505587 1.38909i −0.380161 0.924920i \(-0.624131\pi\)
0.885747 0.464168i \(-0.153646\pi\)
\(6\) 1.89203 + 14.5746i 0.128736 + 0.991679i
\(7\) 28.8083 + 5.07968i 1.55550 + 0.274277i 0.884272 0.466972i \(-0.154655\pi\)
0.671230 + 0.741249i \(0.265766\pi\)
\(8\) −21.9251 + 5.59366i −0.968963 + 0.247207i
\(9\) −26.8867 + 2.47130i −0.995802 + 0.0915297i
\(10\) −12.2793 + 45.1044i −0.388305 + 1.42632i
\(11\) 42.0040 15.2882i 1.15133 0.419052i 0.305340 0.952243i \(-0.401230\pi\)
0.845994 + 0.533192i \(0.179008\pi\)
\(12\) −8.76146 40.6354i −0.210768 0.977536i
\(13\) −18.8951 + 15.8549i −0.403120 + 0.338258i −0.821698 0.569923i \(-0.806973\pi\)
0.418578 + 0.908181i \(0.362529\pi\)
\(14\) −82.3949 7.54090i −1.57293 0.143956i
\(15\) −81.9596 25.6440i −1.41079 0.441418i
\(16\) 60.4829 20.9241i 0.945045 0.326939i
\(17\) 20.5873 11.8861i 0.293715 0.169577i −0.345901 0.938271i \(-0.612427\pi\)
0.639616 + 0.768694i \(0.279093\pi\)
\(18\) 75.2022 13.2905i 0.984740 0.174033i
\(19\) −18.5845 10.7297i −0.224398 0.129556i 0.383587 0.923505i \(-0.374689\pi\)
−0.607985 + 0.793948i \(0.708022\pi\)
\(20\) 24.0005 130.021i 0.268333 1.45368i
\(21\) 19.5092 150.744i 0.202727 1.56644i
\(22\) −114.797 + 52.9727i −1.11249 + 0.513356i
\(23\) −27.8252 157.804i −0.252259 1.43063i −0.803012 0.595963i \(-0.796771\pi\)
0.550753 0.834668i \(1.68566\pi\)
\(24\) 34.2543 + 112.475i 0.291339 + 0.956620i
\(25\) −113.488 95.2277i −0.907903 0.761821i
\(26\) 49.5286 49.1339i 0.373591 0.370614i
\(27\) 19.2282 + 138.972i 0.137054 + 0.990564i
\(28\) 234.014 + 1.87251i 1.57945 + 0.0126383i
\(29\) −143.625 + 171.166i −0.919675 + 1.09603i 0.0754254 + 0.997151i \(0.475969\pi\)
−0.995100 + 0.0988740i \(0.968476\pi\)
\(30\) 237.046 + 53.0009i 1.44262 + 0.322553i
\(31\) −25.3941 + 4.47767i −0.147126 + 0.0259424i −0.246726 0.969085i \(-0.579355\pi\)
0.0995998 + 0.995028i \(0.468244\pi\)
\(32\) −165.557 + 73.2052i −0.914580 + 0.404405i
\(33\) −89.3555 214.391i −0.471358 1.13093i
\(34\) −55.2319 + 38.3454i −0.278594 + 0.193417i
\(35\) 241.733 418.693i 1.16744 2.02206i
\(36\) −208.840 + 55.1514i −0.966854 + 0.255330i
\(37\) 23.9890 + 41.5501i 0.106588 + 0.184616i 0.914386 0.404844i \(-0.132674\pi\)
−0.807798 + 0.589460i \(0.799341\pi\)
\(38\) 54.9067 + 25.8714i 0.234396 + 0.110444i
\(39\) 86.7960 + 94.3046i 0.356371 + 0.387201i
\(40\) −37.0624 + 372.127i −0.146502 + 1.47096i
\(41\) −210.327 250.658i −0.801159 0.954784i 0.198521 0.980097i \(-0.436386\pi\)
−0.999680 + 0.0253129i \(0.991942\pi\)
\(42\) −19.5283 + 429.482i −0.0717449 + 1.57787i
\(43\) 137.642 + 378.168i 0.488144 + 1.34116i 0.902359 + 0.430985i \(0.141834\pi\)
−0.414215 + 0.910179i \(0.635944\pi\)
\(44\) 311.110 176.315i 1.06594 0.604103i
\(45\) −113.600 + 431.532i −0.376322 + 1.42953i
\(46\) 115.551 + 438.247i 0.370370 + 1.40469i
\(47\) −37.0973 + 210.389i −0.115132 + 0.652946i 0.871553 + 0.490302i \(0.163113\pi\)
−0.986685 + 0.162644i \(0.947998\pi\)
\(48\) −123.009 308.967i −0.369891 0.929075i
\(49\) 481.801 + 175.361i 1.40467 + 0.511257i
\(50\) 342.281 + 241.715i 0.968118 + 0.683672i
\(51\) −66.5979 104.033i −0.182854 0.285638i
\(52\) −128.045 + 150.141i −0.341473 + 0.400401i
\(53\) 493.627i 1.27934i 0.768651 + 0.639669i \(0.220928\pi\)
−0.768651 + 0.639669i \(0.779072\pi\)
\(54\) −86.8887 387.188i −0.218964 0.975733i
\(55\) 738.761i 1.81117i
\(56\) −660.040 + 49.7714i −1.57503 + 0.118767i
\(57\) −51.2708 + 99.0205i −0.119140 + 0.230098i
\(58\) 364.562 516.240i 0.825332 1.16872i
\(59\) 216.873 + 78.9353i 0.478550 + 0.174178i 0.570022 0.821630i \(-0.306935\pi\)
−0.0914715 + 0.995808i \(0.529157\pi\)
\(60\) −680.613 93.6274i −1.46445 0.201454i
\(61\) 38.2585 216.975i 0.0803033 0.455423i −0.917968 0.396654i \(-0.870171\pi\)
0.998272 0.0587689i \(-0.0187175\pi\)
\(62\) 70.5232 18.5946i 0.144459 0.0380889i
\(63\) −787.113 65.3817i −1.57408 0.130751i
\(64\) 449.422 245.284i 0.877777 0.479069i
\(65\) 139.427 + 383.072i 0.266058 + 0.730989i
\(66\) 302.293 + 583.268i 0.563783 + 1.08781i
\(67\) −41.7252 49.7261i −0.0760827 0.0906718i 0.726660 0.686997i \(-0.241071\pi\)
−0.802743 + 0.596325i \(0.796627\pi\)
\(68\) 146.658 121.074i 0.261542 0.215918i
\(69\) −812.491 + 181.998i −1.41757 + 0.317535i
\(70\) −582.862 + 1237.01i −0.995218 + 2.11215i
\(71\) −111.513 193.146i −0.186396 0.322848i 0.757650 0.652661i \(-0.226348\pi\)
−0.944046 + 0.329813i \(0.893014\pi\)
\(72\) 575.670 204.579i 0.942268 0.334859i
\(73\) 464.450 804.451i 0.744655 1.28978i −0.205701 0.978615i \(-0.565948\pi\)
0.950356 0.311165i \(-0.100719\pi\)
\(74\) −77.3902 111.471i −0.121573 0.175112i
\(75\) −467.282 + 611.750i −0.719428 + 0.941851i
\(76\) −160.848 60.0055i −0.242769 0.0905672i
\(77\) 1287.72 227.060i 1.90584 0.336051i
\(78\) −266.830 245.392i −0.387340 0.356220i
\(79\) 521.573 621.586i 0.742804 0.885239i −0.253827 0.967250i \(-0.581690\pi\)
0.996631 + 0.0820101i \(0.0261340\pi\)
\(80\) 16.9263 1057.60i 0.0236553 1.47805i
\(81\) 716.785 132.890i 0.983245 0.182291i
\(82\) 651.797 + 657.033i 0.877792 + 0.884844i
\(83\) 772.767 + 648.429i 1.02195 + 0.857522i 0.989872 0.141963i \(-0.0453416\pi\)
0.0320827 + 0.999485i \(0.489786\pi\)
\(84\) −45.9877 1215.14i −0.0597342 1.57837i
\(85\) −68.2242 386.919i −0.0870583 0.493732i
\(86\) −476.921 1033.54i −0.597996 1.29592i
\(87\) 922.661 + 704.770i 1.13701 + 0.868497i
\(88\) −835.426 + 570.152i −1.01201 + 0.690664i
\(89\) −768.467 443.674i −0.915251 0.528420i −0.0331338 0.999451i \(-0.510549\pi\)
−0.882117 + 0.471031i \(0.843882\pi\)
\(90\) 218.683 1243.05i 0.256124 1.45588i
\(91\) −624.875 + 360.772i −0.719831 + 0.415595i
\(92\) −428.787 1208.07i −0.485914 1.36902i
\(93\) 29.2873 + 130.747i 0.0326554 + 0.145783i
\(94\) 55.0718 601.736i 0.0604279 0.660259i
\(95\) −271.689 + 227.974i −0.293418 + 0.246207i
\(96\) 419.397 + 841.928i 0.445880 + 0.895093i
\(97\) −775.061 + 282.099i −0.811294 + 0.295287i −0.714158 0.699984i \(-0.753190\pi\)
−0.0971357 + 0.995271i \(0.530968\pi\)
\(98\) −1399.27 380.940i −1.44232 0.392661i
\(99\) −1091.57 + 514.853i −1.10815 + 0.522674i
\(100\) −1021.62 600.786i −1.02162 0.600786i
\(101\) 1401.66 + 247.150i 1.38089 + 0.243489i 0.814269 0.580487i \(-0.197138\pi\)
0.566625 + 0.823976i \(0.308249\pi\)
\(102\) 212.187 + 277.564i 0.205977 + 0.269440i
\(103\) −229.312 + 630.029i −0.219367 + 0.602705i −0.999745 0.0226031i \(-0.992805\pi\)
0.780378 + 0.625308i \(0.215027\pi\)
\(104\) 325.591 453.313i 0.306989 0.427414i
\(105\) −2230.85 1155.09i −2.07342 1.07357i
\(106\) −116.120 1391.35i −0.106402 1.27491i
\(107\) 708.383 0.640019 0.320009 0.947414i \(-0.396314\pi\)
0.320009 + 0.947414i \(0.396314\pi\)
\(108\) 335.989 + 1070.90i 0.299357 + 0.954141i
\(109\) 1124.74 0.988354 0.494177 0.869361i \(-0.335470\pi\)
0.494177 + 0.869361i \(0.335470\pi\)
\(110\) 173.785 + 2082.29i 0.150634 + 1.80490i
\(111\) 209.963 134.411i 0.179539 0.114934i
\(112\) 1848.70 295.554i 1.55969 0.249350i
\(113\) −701.978 + 1928.67i −0.584395 + 1.60561i 0.196194 + 0.980565i \(0.437142\pi\)
−0.780588 + 0.625046i \(0.785080\pi\)
\(114\) 121.220 291.163i 0.0995901 0.239210i
\(115\) −2608.06 459.872i −2.11481 0.372898i
\(116\) −906.124 + 1540.85i −0.725271 + 1.23331i
\(117\) 468.845 472.981i 0.370468 0.373736i
\(118\) −629.853 171.472i −0.491379 0.133774i
\(119\) 653.464 237.841i 0.503386 0.183217i
\(120\) 1940.42 + 103.794i 1.47613 + 0.0789590i
\(121\) 511.002 428.781i 0.383923 0.322150i
\(122\) −56.7956 + 620.571i −0.0421478 + 0.460524i
\(123\) −1251.02 + 1151.41i −0.917078 + 0.844059i
\(124\) −194.405 + 69.0010i −0.140791 + 0.0499715i
\(125\) −331.316 + 191.285i −0.237070 + 0.136873i
\(126\) 2233.96 0.872933i 1.57950 0.000617199i
\(127\) 1274.53 + 735.853i 0.890525 + 0.514145i 0.874114 0.485720i \(-0.161443\pi\)
0.0164109 + 0.999865i \(0.494776\pi\)
\(128\) −1209.05 + 797.084i −0.834892 + 0.550414i
\(129\) 1930.19 804.480i 1.31739 0.549074i
\(130\) −483.106 1046.94i −0.325932 0.706328i
\(131\) −159.090 902.242i −0.106105 0.601750i −0.990773 0.135529i \(-0.956726\pi\)
0.884669 0.466220i \(1.84562\pi\)
\(132\) −989.259 1572.90i −0.652302 1.03715i
\(133\) −480.883 403.509i −0.313518 0.263073i
\(134\) 129.305 + 130.344i 0.0833603 + 0.0840299i
\(135\) 2266.99 + 486.936i 1.44527 + 0.310435i
\(136\) −384.893 + 375.763i −0.242678 + 0.236922i
\(137\) −1677.03 + 1998.60i −1.04583 + 1.24637i −0.0774161 + 0.996999i \(0.524667\pi\)
−0.968409 + 0.249367i \(0.919777\pi\)
\(138\) 2247.30 704.113i 1.38625 0.434334i
\(139\) −204.839 + 36.1187i −0.124994 + 0.0220399i −0.235795 0.971803i \(-0.575770\pi\)
0.110801 + 0.993843i \(0.464658\pi\)
\(140\) 1351.88 3623.77i 0.816104 2.18760i
\(141\) 1100.90 + 142.478i 0.657535 + 0.0850977i
\(142\) 359.749 + 518.175i 0.212602 + 0.306227i
\(143\) −551.278 + 954.842i −0.322379 + 0.558377i
\(144\) −1574.47 + 712.051i −0.911154 + 0.412066i
\(145\) 1846.43 + 3198.11i 1.05750 + 1.83164i
\(146\) −1119.87 + 2376.71i −0.634804 + 1.34724i
\(147\) 795.554 2542.63i 0.446369 1.42662i
\(148\) 244.357 + 295.991i 0.135716 + 0.164394i
\(149\) 1079.97 + 1287.06i 0.593791 + 0.707653i 0.976330 0.216287i \(-0.0693946\pi\)
−0.382539 + 0.923939i \(0.624950\pi\)
\(150\) 1173.19 1834.22i 0.638602 0.998423i
\(151\) −992.068 2725.68i −0.534658 1.46896i −0.853470 0.521143i \(-0.825506\pi\)
0.318812 0.947818i \(1.60328\pi\)
\(152\) 467.485 + 131.296i 0.249461 + 0.0700624i
\(153\) −524.150 + 370.455i −0.276961 + 0.195748i
\(154\) −3576.20 + 942.922i −1.87129 + 0.493395i
\(155\) −74.0033 + 419.693i −0.0383489 + 0.217488i
\(156\) 809.819 + 628.899i 0.415624 + 0.322771i
\(157\) −227.805 82.9143i −0.115802 0.0421483i 0.283469 0.958981i \(-0.408515\pi\)
−0.399271 + 0.916833i \(0.630737\pi\)
\(158\) −1323.90 + 1874.71i −0.666606 + 0.943951i
\(159\) 2562.27 117.508i 1.27799 0.0586102i
\(160\) 201.081 + 2984.98i 0.0993552 + 1.47489i
\(161\) 4687.42i 2.29454i
\(162\) −1989.09 + 543.184i −0.964677 + 0.263435i
\(163\) 71.7825i 0.0344935i 0.999851 + 0.0172467i \(0.00549008\pi\)
−0.999851 + 0.0172467i \(0.994510\pi\)
\(164\) −1991.73 1698.60i −0.948343 0.808773i
\(165\) −3834.68 + 175.863i −1.80927 + 0.0829752i
\(166\) −2330.68 1645.89i −1.08973 0.769555i
\(167\) 1208.55 + 439.877i 0.560004 + 0.203825i 0.606486 0.795095i \(-0.292579\pi\)
−0.0464820 + 0.998919i \(0.514801\pi\)
\(168\) 415.471 + 3414.22i 0.190799 + 1.56793i
\(169\) −275.857 + 1564.46i −0.125561 + 0.712090i
\(170\) 283.317 + 1074.53i 0.127820 + 0.484781i
\(171\) 526.190 + 242.559i 0.235315 + 0.108473i
\(172\) 1587.39 + 2800.96i 0.703706 + 1.24169i
\(173\) 16.2625 + 44.6810i 0.00714693 + 0.0196360i 0.943215 0.332183i \(-0.107785\pi\)
−0.936068 + 0.351819i \(0.885563\pi\)
\(174\) −2766.43 1769.44i −1.20530 0.770923i
\(175\) −2785.67 3319.83i −1.20330 1.43403i
\(176\) 2220.63 1803.57i 0.951059 0.772439i
\(177\) 358.102 1144.51i 0.152071 0.486027i
\(178\) 2270.39 + 1069.78i 0.956028 + 0.450468i
\(179\) −388.114 672.234i −0.162062 0.280699i 0.773546 0.633740i \(-0.218481\pi\)
−0.935608 + 0.353041i \(0.885148\pi\)
\(180\) −323.971 + 3555.14i −0.134152 + 1.47214i
\(181\) 1964.21 3402.10i 0.806620 1.39711i −0.108572 0.994089i \(-0.534628\pi\)
0.915192 0.403018i \(-0.132039\pi\)
\(182\) 1676.42 1163.88i 0.682773 0.474023i
\(183\) −1135.36 146.937i −0.458623 0.0593547i
\(184\) 1492.78 + 3304.24i 0.598092 + 1.32387i
\(185\) 780.894 137.693i 0.310338 0.0547209i
\(186\) −113.307 361.638i −0.0446670 0.142562i
\(187\) 683.033 814.007i 0.267103 0.318321i
\(188\) −13.6751 + 1709.03i −0.00530510 + 0.662997i
\(189\) −152.003 + 4101.23i −0.0585007 + 1.57842i
\(190\) 712.162 706.486i 0.271924 0.269757i
\(191\) −592.016 496.760i −0.224276 0.188190i 0.523725 0.851887i \(-0.324542\pi\)
−0.748001 + 0.663697i \(0.768986\pi\)
\(192\) −1380.18 2274.42i −0.518780 0.854908i
\(193\) −793.268 4498.85i −0.295858 1.67790i −0.663693 0.748005i \(-0.731012\pi\)
0.367834 0.929891i \(-0.380099\pi\)
\(194\) 2118.25 977.457i 0.783924 0.361739i
\(195\) 1955.22 814.913i 0.718032 0.299268i
\(196\) 4033.63 + 744.565i 1.46998 + 0.271343i
\(197\) −2854.07 1647.80i −1.03220 0.595943i −0.114588 0.993413i \(-0.536555\pi\)
−0.917615 + 0.397471i \(0.869888\pi\)
\(198\) 2955.60 1707.96i 1.06084 0.613027i
\(199\) 1421.21 820.538i 0.506267 0.292294i −0.225031 0.974352i \(-0.572248\pi\)
0.731298 + 0.682058i \(0.238915\pi\)
\(200\) 3020.91 + 1453.06i 1.06805 + 0.513736i
\(201\) −248.181 + 228.420i −0.0870911 + 0.0801568i
\(202\) −4008.89 366.900i −1.39636 0.127797i
\(203\) −5007.07 + 4201.43i −1.73117 + 1.45263i
\(204\) −663.371 732.435i −0.227673 0.251376i
\(205\) −5081.73 + 1849.60i −1.73133 + 0.630154i
\(206\) 498.138 1829.76i 0.168480 0.618862i
\(207\) 1138.11 + 4174.07i 0.382145 + 1.40154i
\(208\) −811.083 + 1354.31i −0.270377 + 0.451465i
\(209\) −944.660 166.569i −0.312648 0.0551283i
\(210\) 6559.67 + 2730.99i 2.15553 + 0.897410i
\(211\) −981.341 + 2696.21i −0.320182 + 0.879692i 0.670305 + 0.742085i \(0.266163\pi\)
−0.990487 + 0.137606i \(0.956059\pi\)
\(212\) 654.600 + 3894.38i 0.212067 + 1.26164i
\(213\) −976.017 + 624.808i −0.313970 + 0.200991i
\(214\) −1996.67 + 166.639i −0.637801 + 0.0532300i
\(215\) 6651.16 2.10979
\(216\) −1198.94 2939.43i −0.377675 0.925938i
\(217\) −754.307 −0.235971
\(218\) −3170.22 + 264.583i −0.984930 + 0.0822009i
\(219\) −4286.23 2219.32i −1.32254 0.684784i
\(220\) −979.672 5828.32i −0.300225 1.78612i
\(221\) −200.547 + 550.999i −0.0610419 + 0.167711i
\(222\) −560.190 + 428.245i −0.169358 + 0.129468i
\(223\) 5251.43 + 925.969i 1.57696 + 0.278060i 0.892519 0.451010i \(-0.148936\pi\)
0.684439 + 0.729070i \(0.260047\pi\)
\(224\) −5141.27 + 1267.94i −1.53355 + 0.378205i
\(225\) 3286.65 + 2279.89i 0.973822 + 0.675523i
\(226\) 1524.92 5601.34i 0.448832 1.64865i
\(227\) −1767.22 + 643.216i −0.516717 + 0.188069i −0.587198 0.809444i \(-0.699769\pi\)
0.0704810 + 0.997513i \(0.477547\pi\)
\(228\) −273.181 + 849.195i −0.0793501 + 0.246664i
\(229\) −2466.49 + 2069.63i −0.711749 + 0.597228i −0.925089 0.379750i \(-0.876010\pi\)
0.213340 + 0.976978i \(0.431566\pi\)
\(230\) 7459.34 + 682.690i 2.13850 + 0.195718i
\(231\) −1485.15 6630.13i −0.423011 1.88844i
\(232\) 2191.56 4556.23i 0.620185 1.28936i
\(233\) −1841.44 + 1063.16i −0.517755 + 0.298926i −0.736016 0.676965i \(-0.763295\pi\)
0.218261 + 0.975891i \(0.429962\pi\)
\(234\) −1210.24 + 1443.45i −0.338101 + 0.403253i
\(235\) 3057.75 + 1765.39i 0.848790 + 0.490049i
\(236\) 1815.66 + 335.151i 0.500802 + 0.0924426i
\(237\) −3350.63 2559.36i −0.918340 0.701469i
\(238\) −1785.92 + 824.106i −0.486404 + 0.224449i
\(239\) −767.348 4351.85i −0.207680 1.17781i −0.893166 0.449728i \(-0.851521\pi\)
0.685485 0.728087i \(1.74041\pi\)
\(240\) −5493.73 + 163.904i −1.47758 + 0.0440833i
\(241\) −305.357 256.225i −0.0816174 0.0684852i 0.601066 0.799199i \(-0.294743\pi\)
−0.682684 + 0.730714i \(0.739187\pi\)
\(242\) −1339.46 + 1328.78i −0.355800 + 0.352964i
\(243\) −860.424 3688.98i −0.227145 0.973861i
\(244\) 14.1031 1762.52i 0.00370025 0.462433i
\(245\) 5446.89 6491.35i 1.42036 1.69272i
\(246\) 3255.30 3539.69i 0.843701 0.917408i
\(247\) 521.275 91.9148i 0.134283 0.0236777i
\(248\) 531.723 240.220i 0.136147 0.0615079i
\(249\) 3181.84 4165.56i 0.809803 1.06017i
\(250\) 888.859 617.101i 0.224865 0.156116i
\(251\) 48.7845 84.4972i 0.0122679 0.0212487i −0.859826 0.510587i \(-0.829428\pi\)
0.872094 + 0.489338i \(0.162762\pi\)
\(252\) −6296.49 + 527.975i −1.57398 + 0.131981i
\(253\) −3581.32 6203.02i −0.889942 1.54143i
\(254\) −3765.54 1774.28i −0.930201 0.438299i
\(255\) −1992.14 + 446.237i −0.489225 + 0.109586i
\(256\) 3220.36 2531.10i 0.786222 0.617945i
\(257\) 1393.76 + 1661.02i 0.338290 + 0.403159i 0.908192 0.418554i \(-0.137463\pi\)
−0.569902 + 0.821713i \(0.693019\pi\)
\(258\) −5251.24 + 2721.59i −1.26716 + 0.656738i
\(259\) 480.020 + 1318.85i 0.115162 + 0.316406i
\(260\) 1607.98 + 2837.29i 0.383548 + 0.676773i
\(261\) 3438.60 4957.03i 0.815495 1.17560i
\(262\) 660.657 + 2505.66i 0.155784 + 0.590840i
\(263\) −163.989 + 930.026i −0.0384486 + 0.218053i −0.997978 0.0635544i \(-0.979756\pi\)
0.959530 + 0.281607i \(0.0908675\pi\)
\(264\) 3158.36 + 4200.72i 0.736302 + 0.979304i
\(265\) 7666.26 + 2790.29i 1.77711 + 0.646816i
\(266\) 1450.35 + 1024.22i 0.334311 + 0.236086i
\(267\) −2120.04 + 4094.49i −0.485935 + 0.938498i
\(268\) −395.125 336.974i −0.0900602 0.0768058i
\(269\) 1446.29i 0.327814i 0.986476 + 0.163907i \(0.0524097\pi\)
−0.986476 + 0.163907i \(0.947590\pi\)
\(270\) −6504.36 839.206i −1.46608 0.189157i
\(271\) 8626.74i 1.93372i 0.255312 + 0.966859i \(0.417822\pi\)
−0.255312 + 0.966859i \(0.582178\pi\)
\(272\) 996.475 1149.68i 0.222133 0.256285i
\(273\) 2021.41 + 3157.65i 0.448136 + 0.700036i
\(274\) 4256.76 6027.82i 0.938542 1.32903i
\(275\) −6222.81 2264.92i −1.36454 0.496653i
\(276\) −6168.66 + 2513.28i −1.34533 + 0.548123i
\(277\) −482.192 + 2734.65i −0.104592 + 0.593173i 0.886790 + 0.462173i \(0.152930\pi\)
−0.991382 + 0.131000i \(0.958181\pi\)
\(278\) 568.869 149.991i 0.122728 0.0323593i
\(279\) 671.697 183.146i 0.144134 0.0392999i
\(280\) −2957.99 + 10532.1i −0.631334 + 2.24790i
\(281\) −163.822 450.098i −0.0347787 0.0955538i 0.921088 0.389355i \(-0.127302\pi\)
−0.955867 + 0.293801i \(0.905080\pi\)
\(282\) −3136.54 142.617i −0.662334 0.0301160i
\(283\) 3102.93 + 3697.92i 0.651766 + 0.776745i 0.986179 0.165682i \(-0.0529824\pi\)
−0.334413 + 0.942427i \(0.608538\pi\)
\(284\) −1135.89 1375.91i −0.237334 0.287484i
\(285\) 1248.02 + 1355.99i 0.259391 + 0.281830i
\(286\) 1329.23 2821.03i 0.274822 0.583254i
\(287\) −4785.90 8289.41i −0.984329 1.70491i
\(288\) 4270.35 2377.38i 0.873726 0.486419i
\(289\) −2173.94 + 3765.38i −0.442488 + 0.766411i
\(290\) −5956.72 8579.93i −1.20617 1.73735i
\(291\) 1648.80 + 3955.95i 0.332145 + 0.796914i
\(292\) 2597.41 6962.49i 0.520555 1.39537i
\(293\) 1836.64 323.850i 0.366204 0.0645717i 0.0124817 0.999922i \(-0.496027\pi\)
0.353722 + 0.935350i \(0.384916\pi\)
\(294\) −1644.25 + 7353.87i −0.326171 + 1.45880i
\(295\) 2451.81 2921.95i 0.483897 0.576686i
\(296\) −758.379 776.805i −0.148918 0.152537i
\(297\) 2932.30 + 5543.43i 0.572893 + 1.08304i
\(298\) −3346.81 3373.70i −0.650589 0.655816i
\(299\) 3027.73 + 2540.57i 0.585613 + 0.491388i
\(300\) −2875.30 + 5445.96i −0.553351 + 1.04808i
\(301\) 2044.26 + 11593.6i 0.391458 + 2.22007i
\(302\) 3437.46 + 7449.32i 0.654978 + 1.41940i
\(303\) 949.216 7334.42i 0.179970 1.39060i
\(304\) −1348.55 260.103i −0.254424 0.0490721i
\(305\) −3153.46 1820.65i −0.592022 0.341804i
\(306\) 1390.24 1167.48i 0.259721 0.218105i
\(307\) 37.1091 21.4250i 0.00689880 0.00398302i −0.496547 0.868010i \(-0.665399\pi\)
0.503445 + 0.864027i \(0.332065\pi\)
\(308\) 9858.17 3499.01i 1.82377 0.647320i
\(309\) 3324.88 + 1040.31i 0.612122 + 0.191525i
\(310\) 109.859 1200.37i 0.0201277 0.219924i
\(311\) 3824.94 3209.50i 0.697403 0.585190i −0.223631 0.974674i \(-0.571791\pi\)
0.921033 + 0.389484i \(0.127347\pi\)
\(312\) −2430.52 1582.13i −0.441029 0.287085i
\(313\) −5022.25 + 1827.95i −0.906947 + 0.330102i −0.753033 0.657982i \(-0.771410\pi\)
−0.153914 + 0.988084i \(0.549188\pi\)
\(314\) 661.603 + 180.116i 0.118906 + 0.0323711i
\(315\) −5464.67 + 11854.7i −0.977458 + 2.12043i
\(316\) 3290.57 5595.55i 0.585788 0.996122i
\(317\) 5086.93 + 896.963i 0.901295 + 0.158923i 0.605048 0.796189i \(-0.293154\pi\)
0.296247 + 0.955111i \(0.404265\pi\)
\(318\) −7194.44 + 933.958i −1.26869 + 0.164697i
\(319\) −3416.02 + 9385.43i −0.599562 + 1.64728i
\(320\) −1268.95 8366.23i −0.221677 1.46152i
\(321\) −168.631 3677.00i −0.0293211 0.639347i
\(322\) 1102.66 + 13212.1i 0.190836 + 2.28659i
\(323\) −510.139 −0.0878789
\(324\) 5478.73 1998.94i 0.939425 0.342754i
\(325\) 3654.19 0.623687
\(326\) −16.8860 202.328i −0.00286881 0.0343740i
\(327\) −267.746 5838.18i −0.0452794 0.987316i
\(328\) 6013.53 + 4319.20i 1.01232 + 0.727097i
\(329\) −2137.42 + 5872.52i −0.358176 + 0.984081i
\(330\) 10767.2 1397.76i 1.79610 0.233164i
\(331\) −2550.19 449.667i −0.423477 0.0746705i −0.0421516 0.999111i \(-0.513421\pi\)
−0.381326 + 0.924441i \(0.624532\pi\)
\(332\) 6956.50 + 4090.90i 1.14996 + 0.676256i
\(333\) −747.666 1057.86i −0.123039 0.174085i
\(334\) −3509.94 955.551i −0.575015 0.156543i
\(335\) −1008.13 + 366.928i −0.164418 + 0.0598431i
\(336\) −1974.22 9525.68i −0.320543 1.54663i
\(337\) −1575.64 + 1322.12i −0.254690 + 0.213710i −0.761189 0.648530i \(-0.775384\pi\)
0.506499 + 0.862241i \(0.330940\pi\)
\(338\) 409.515 4474.53i 0.0659015 0.720066i
\(339\) 10178.2 + 3184.64i 1.63070 + 0.510223i
\(340\) −1051.34 2962.05i −0.167696 0.472470i
\(341\) −998.199 + 576.311i −0.158521 + 0.0915219i
\(342\) −1540.19 559.903i −0.243521 0.0885266i
\(343\) 4299.68 + 2482.42i 0.676853 + 0.390781i
\(344\) −5133.16 7521.45i −0.804539 1.17886i
\(345\) −1766.20 + 13647.1i −0.275621 + 2.12967i
\(346\) −56.3488 122.113i −0.00875529 0.0189736i
\(347\) 78.1244 + 443.065i 0.0120863 + 0.0685447i 0.990254 0.139271i \(-0.0444758\pi\)
−0.978168 + 0.207815i \(0.933365\pi\)
\(348\) 8213.77 + 4336.61i 1.26524 + 0.668008i
\(349\) 1672.47 + 1403.37i 0.256519 + 0.215245i 0.761974 0.647608i \(-0.224231\pi\)
−0.505454 + 0.862853i \(0.668675\pi\)
\(350\) 8632.72 + 8702.07i 1.31840 + 1.32899i
\(351\) −2566.71 2321.04i −0.390316 0.352957i
\(352\) −5834.87 + 5605.97i −0.883521 + 0.848862i
\(353\) 4427.79 5276.83i 0.667613 0.795630i −0.320844 0.947132i \(-0.603967\pi\)
0.988457 + 0.151502i \(0.0484111\pi\)
\(354\) −740.124 + 3310.19i −0.111122 + 0.496991i
\(355\) −3629.99 + 640.065i −0.542704 + 0.0956934i
\(356\) −6651.04 2481.23i −0.990181 0.369395i
\(357\) −1390.12 3335.31i −0.206087 0.494464i
\(358\) 1252.09 + 1803.48i 0.184846 + 0.266248i
\(359\) −4311.01 + 7466.89i −0.633778 + 1.09774i 0.352994 + 0.935625i \(0.385164\pi\)
−0.986773 + 0.162111i \(0.948170\pi\)
\(360\) 76.8461 10096.8i 0.0112504 1.47819i
\(361\) −3199.25 5541.26i −0.466430 0.807881i
\(362\) −4736.06 + 10051.3i −0.687629 + 1.45935i
\(363\) −2347.32 2550.38i −0.339400 0.368761i
\(364\) −4451.42 + 3674.89i −0.640983 + 0.529167i
\(365\) −9868.15 11760.4i −1.41513 1.68649i
\(366\) 3234.72 + 147.081i 0.461971 + 0.0210056i
\(367\) 42.5720 + 116.966i 0.00605516 + 0.0166364i 0.942683 0.333689i \(-0.108293\pi\)
−0.936628 + 0.350325i \(0.886071\pi\)
\(368\) −4984.86 8962.26i −0.706125 1.26954i
\(369\) 6274.43 + 6219.56i 0.885187 + 0.877446i
\(370\) −2168.66 + 571.801i −0.304711 + 0.0803420i
\(371\) −2507.47 + 14220.6i −0.350893 + 1.99001i
\(372\) 404.441 + 992.670i 0.0563691 + 0.138354i
\(373\) −73.2169 26.6488i −0.0101636 0.00369925i 0.336933 0.941529i \(-0.390610\pi\)
−0.347097 + 0.937829i \(0.612833\pi\)
\(374\) −1733.73 + 2455.06i −0.239703 + 0.339433i
\(375\) 1071.77 + 1674.23i 0.147590 + 0.230551i
\(376\) −363.484 4820.32i −0.0498544 0.661142i
\(377\) 5511.37i 0.752918i
\(378\) −536.327 11595.6i −0.0729780 1.57781i
\(379\) 7686.03i 1.04170i −0.853648 0.520851i \(-0.825615\pi\)
0.853648 0.520851i \(-0.174385\pi\)
\(380\) −1841.13 + 2158.85i −0.248547 + 0.291439i
\(381\) 3516.19 6790.89i 0.472807 0.913145i
\(382\) 1785.53 + 1260.92i 0.239151 + 0.168885i
\(383\) 848.340 + 308.770i 0.113181 + 0.0411943i 0.397990 0.917390i \(-0.369708\pi\)
−0.284809 + 0.958584i \(0.591930\pi\)
\(384\) 4425.24 + 6086.08i 0.588085 + 0.808799i
\(385\) 3752.67 21282.5i 0.496763 2.81728i
\(386\) 3294.23 + 12494.0i 0.434383 + 1.64748i
\(387\) −4635.30 9827.51i −0.608851 1.29085i
\(388\) −5740.62 + 3253.38i −0.751123 + 0.425684i
\(389\) 881.623 + 2422.24i 0.114910 + 0.315713i 0.983794 0.179303i \(-0.0573843\pi\)
−0.868884 + 0.495016i \(0.835162\pi\)
\(390\) −5319.34 + 2756.88i −0.690655 + 0.357949i
\(391\) −2448.52 2918.04i −0.316694 0.377421i
\(392\) −11544.5 1149.78i −1.48746 0.148145i
\(393\) −4645.39 + 1040.57i −0.596257 + 0.133561i
\(394\) 8432.18 + 3973.14i 1.07819 + 0.508030i
\(395\) −6705.27 11613.9i −0.854124 1.47939i
\(396\) −7928.97 + 5509.37i −1.00618 + 0.699132i
\(397\) −3211.46 + 5562.41i −0.405992 + 0.703198i −0.994436 0.105339i \(-0.966407\pi\)
0.588445 + 0.808537i \(0.299740\pi\)
\(398\) −3812.85 + 2647.12i −0.480203 + 0.333387i
\(399\) −1980.02 + 2592.17i −0.248433 + 0.325241i
\(400\) −8856.63 3385.01i −1.10708 0.423127i
\(401\) −11072.4 + 1952.37i −1.37888 + 0.243133i −0.813436 0.581654i \(-0.802406\pi\)
−0.565442 + 0.824788i \(0.691295\pi\)
\(402\) 645.795 702.213i 0.0801227 0.0871224i
\(403\) 408.832 487.227i 0.0505344 0.0602246i
\(404\) 11385.9 + 91.1064i 1.40215 + 0.0112196i
\(405\) 1987.88 11883.2i 0.243897 1.45798i
\(406\) 13124.7 13020.1i 1.60436 1.59157i
\(407\) 1642.86 + 1378.52i 0.200082 + 0.167889i
\(408\) 2042.09 + 1908.41i 0.247791 + 0.231570i
\(409\) 563.674 + 3196.75i 0.0681464 + 0.386477i 0.999736 + 0.0229662i \(0.00731100\pi\)
−0.931590 + 0.363511i \(0.881578\pi\)
\(410\) 13888.4 6408.75i 1.67293 0.771965i
\(411\) 10773.4 + 8229.17i 1.29297 + 0.987627i
\(412\) −973.633 + 5274.60i −0.116426 + 0.630730i
\(413\) 5846.78 + 3375.64i 0.696613 + 0.402190i
\(414\) −4189.81 11497.4i −0.497386 1.36490i
\(415\) 14438.6 8336.12i 1.70786 0.986033i
\(416\) 1967.55 4008.10i 0.231892 0.472388i
\(417\) 236.243 + 1054.66i 0.0277431 + 0.123853i
\(418\) 2701.83 + 247.275i 0.316150 + 0.0289345i
\(419\) −2651.34 + 2224.74i −0.309132 + 0.259393i −0.784133 0.620593i \(-0.786892\pi\)
0.475001 + 0.879985i \(0.342448\pi\)
\(420\) −19131.7 6154.55i −2.22269 0.715026i
\(421\) 6912.88 2516.08i 0.800268 0.291274i 0.0906707 0.995881i \(-0.471099\pi\)
0.709598 + 0.704607i \(0.248877\pi\)
\(422\) 2131.78 7830.47i 0.245909 0.903273i
\(423\) 477.488 5748.35i 0.0548847 0.660743i
\(424\) −2761.18 10822.8i −0.316262 1.23963i
\(425\) −3468.30 611.554i −0.395852 0.0697994i
\(426\) 2604.05 1990.70i 0.296166 0.226408i
\(427\) 2204.33 6056.34i 0.249824 0.686386i
\(428\) 5588.67 939.388i 0.631164 0.106091i
\(429\) 5087.53 + 2634.22i 0.572560 + 0.296460i
\(430\) −18747.2 + 1564.61i −2.10248 + 0.175471i
\(431\) 8570.49 0.957833 0.478917 0.877860i \(-0.341030\pi\)
0.478917 + 0.877860i \(0.341030\pi\)
\(432\) 4070.84 + 8003.11i 0.453376 + 0.891319i
\(433\) 1823.48 0.202381 0.101190 0.994867i \(-0.467735\pi\)
0.101190 + 0.994867i \(0.467735\pi\)
\(434\) 2126.11 177.442i 0.235153 0.0196256i
\(435\) 16160.9 10345.6i 1.78127 1.14030i
\(436\) 8873.44 1491.52i 0.974681 0.163832i
\(437\) −1176.09 + 3231.27i −0.128741 + 0.353713i
\(438\) 12603.3 + 5247.15i 1.37491 + 0.572417i
\(439\) −14036.7 2475.06i −1.52605 0.269084i −0.653244 0.757147i \(-0.726592\pi\)
−0.872808 + 0.488063i \(0.837704\pi\)
\(440\) 4132.38 + 16197.4i 0.447735 + 1.75496i
\(441\) −13387.4 3524.20i −1.44557 0.380543i
\(442\) 435.652 1600.24i 0.0468820 0.172207i
\(443\) 1914.52 696.828i 0.205331 0.0747343i −0.237307 0.971435i \(-0.576265\pi\)
0.442638 + 0.896700i \(0.354043\pi\)
\(444\) 1478.23 1338.84i 0.158004 0.143105i
\(445\) −11234.3 + 9426.73i −1.19676 + 1.00420i
\(446\) −15019.6 1374.62i −1.59462 0.145942i
\(447\) 6423.66 5912.20i 0.679706 0.625587i
\(448\) 14193.0 4783.28i 1.49678 0.504440i
\(449\) 3207.91 1852.09i 0.337173 0.194667i −0.321848 0.946791i \(-0.604304\pi\)
0.659021 + 0.752124i \(0.270971\pi\)
\(450\) −9800.16 5653.02i −1.02663 0.592191i
\(451\) −12666.7 7313.10i −1.32251 0.763549i
\(452\) −2980.52 + 16146.8i −0.310159 + 1.68027i
\(453\) −13912.0 + 5798.38i −1.44292 + 0.601394i
\(454\) 4829.83 2228.71i 0.499285 0.230393i
\(455\) 2070.77 + 11743.9i 0.213361 + 1.21003i
\(456\) 570.231 2457.83i 0.0585603 0.252409i
\(457\) −4861.66 4079.42i −0.497634 0.417565i 0.359119 0.933292i \(-0.383077\pi\)
−0.856753 + 0.515727i \(0.827522\pi\)
\(458\) 6465.27 6413.75i 0.659612 0.654355i
\(459\) 2047.69 + 2632.52i 0.208231 + 0.267702i
\(460\) −21185.7 169.521i −2.14737 0.0171826i
\(461\) 3746.46 4464.85i 0.378503 0.451082i −0.542838 0.839837i \(-0.682650\pi\)
0.921341 + 0.388755i \(0.127095\pi\)
\(462\) 5745.74 + 18338.5i 0.578606 + 1.84672i
\(463\) −7252.14 + 1278.75i −0.727939 + 0.128355i −0.525323 0.850903i \(-0.676055\pi\)
−0.202616 + 0.979258i \(0.564944\pi\)
\(464\) −5105.38 + 13357.9i −0.510801 + 1.33647i
\(465\) 2196.12 + 284.220i 0.219016 + 0.0283449i
\(466\) 4940.24 3429.82i 0.491100 0.340952i
\(467\) 5269.57 9127.17i 0.522156 0.904400i −0.477512 0.878625i \(-0.658461\pi\)
0.999668 0.0257751i \(-0.00820539\pi\)
\(468\) 3071.65 4353.24i 0.303391 0.429975i
\(469\) −949.439 1644.48i −0.0934777 0.161908i
\(470\) −9033.95 4256.68i −0.886606 0.417758i
\(471\) −376.154 + 1202.21i −0.0367989 + 0.117611i
\(472\) −5196.50 517.552i −0.506755 0.0504709i
\(473\) 11563.0 + 13780.3i 1.12403 + 1.33957i
\(474\) 10046.2 + 6425.68i 0.973499 + 0.622661i
\(475\) 1087.34 + 2987.45i 0.105033 + 0.288576i
\(476\) 4839.99 2742.97i 0.466051 0.264125i
\(477\) −1219.90 13272.0i −0.117097 1.27397i
\(478\) 3186.59 + 12085.7i 0.304919 + 1.15646i
\(479\) 2807.99 15924.9i 0.267851 1.51906i −0.492942 0.870062i \(-0.664079\pi\)
0.760793 0.648995i \(-0.224810\pi\)
\(480\) 15446.2 1754.33i 1.46879 0.166820i
\(481\) −1112.05 404.752i −0.105416 0.0383682i
\(482\) 920.963 + 650.372i 0.0870305 + 0.0614598i
\(483\) −24331.0 + 1115.85i −2.29213 + 0.105120i
\(484\) 3462.85 4060.44i 0.325211 0.381333i
\(485\) 13631.7i 1.27625i
\(486\) 3293.01 + 10195.5i 0.307353 + 0.951595i
\(487\) 11989.5i 1.11560i 0.829977 + 0.557798i \(0.188354\pi\)
−0.829977 + 0.557798i \(0.811646\pi\)
\(488\) 374.862 + 4971.21i 0.0347729 + 0.461139i
\(489\) 372.601 17.0879i 0.0344573 0.00158025i
\(490\) −13825.7 + 19578.0i −1.27466 + 1.80499i
\(491\) −13354.3 4860.58i −1.22744 0.446751i −0.354719 0.934973i \(-0.615423\pi\)
−0.872719 + 0.488222i \(0.837646\pi\)
\(492\) −8342.81 + 10742.8i −0.764477 + 0.984399i
\(493\) −922.366 + 5231.00i −0.0842622 + 0.477875i
\(494\) −1447.66 + 381.698i −0.131849 + 0.0347639i
\(495\) 1825.70 + 19862.8i 0.165776 + 1.80357i
\(496\) −1442.22 + 802.171i −0.130560 + 0.0726181i
\(497\) −2231.38 6130.66i −0.201390 0.553315i
\(498\) −7988.52 + 12489.7i −0.718823 + 1.12385i
\(499\) 4521.17 + 5388.12i 0.405602 + 0.483378i 0.929720 0.368268i \(-0.120049\pi\)
−0.524118 + 0.851646i \(0.675605\pi\)
\(500\) −2360.20 + 1948.47i −0.211102 + 0.174277i
\(501\) 1995.57 6377.94i 0.177955 0.568753i
\(502\) −117.628 + 249.642i −0.0104582 + 0.0221954i
\(503\) 7314.78 + 12669.6i 0.648409 + 1.12308i 0.983503 + 0.180893i \(0.0578986\pi\)
−0.335094 + 0.942185i \(0.608768\pi\)
\(504\) 17623.3 2969.34i 1.55755 0.262431i
\(505\) 11761.4 20371.4i 1.03639 1.79508i
\(506\) 11553.6 + 16641.5i 1.01506 + 1.46207i
\(507\) 8186.32 + 1059.47i 0.717095 + 0.0928059i
\(508\) 11031.0 + 4115.22i 0.963431 + 0.359416i
\(509\) −13834.0 + 2439.31i −1.20468 + 0.212417i −0.739720 0.672915i \(-0.765042\pi\)
−0.464958 + 0.885333i \(0.653931\pi\)
\(510\) 5510.12 1726.41i 0.478416 0.149895i
\(511\) 17466.4 20815.6i 1.51207 1.80201i
\(512\) −8481.59 + 7891.79i −0.732104 + 0.681193i
\(513\) 1133.79 2789.04i 0.0975791 0.240037i
\(514\) −4319.24 4353.94i −0.370649 0.373626i
\(515\) 8488.44 + 7122.65i 0.726302 + 0.609440i
\(516\) 14161.1 8906.43i 1.20815 0.759852i
\(517\) 1658.24 + 9404.35i 0.141063 + 0.800005i
\(518\) −1663.24 3604.41i −0.141079 0.305731i
\(519\) 228.054 95.0503i 0.0192880 0.00803901i
\(520\) −5199.73 7619.00i −0.438506 0.642529i
\(521\) 3219.74 + 1858.92i 0.270747 + 0.156316i 0.629227 0.777221i \(-0.283371\pi\)
−0.358480 + 0.933537i \(0.616705\pi\)
\(522\) −8526.06 + 14780.9i −0.714896 + 1.23935i
\(523\) −8421.65 + 4862.24i −0.704116 + 0.406522i −0.808879 0.587976i \(-0.799925\pi\)
0.104762 + 0.994497i \(0.466592\pi\)
\(524\) −2451.57 6907.11i −0.204385 0.575837i
\(525\) −16569.1 + 15249.9i −1.37740 + 1.26773i
\(526\) 243.445 2659.97i 0.0201800 0.220495i
\(527\) −469.575 + 394.020i −0.0388140 + 0.0325689i
\(528\) −9890.41 11097.3i −0.815199 0.914673i
\(529\) −12694.8 + 4620.52i −1.04338 + 0.379758i
\(530\) −22264.7 6061.39i −1.82475 0.496774i
\(531\) −6026.06 1586.35i −0.492484 0.129645i
\(532\) −4328.94 2545.71i −0.352788 0.207464i
\(533\) 7948.30 + 1401.50i 0.645927 + 0.113894i
\(534\) 5012.43 12039.6i 0.406197 0.975662i
\(535\) 4004.23 11001.5i 0.323585 0.889042i
\(536\) 1192.98 + 856.855i 0.0961361 + 0.0690494i
\(537\) −3396.97 + 2174.61i −0.272980 + 0.174751i
\(538\) −340.224 4076.56i −0.0272641 0.326678i
\(539\) 22918.5 1.83149
\(540\) 18530.8 + 835.330i 1.47674 + 0.0665683i
\(541\) −7678.15 −0.610184 −0.305092 0.952323i \(-0.598687\pi\)
−0.305092 + 0.952323i \(0.598687\pi\)
\(542\) −2029.35 24315.6i −0.160826 1.92702i
\(543\) −18126.9 9385.72i −1.43259 0.741767i
\(544\) −2538.24 + 3474.92i −0.200048 + 0.273871i
\(545\) 6357.74 17467.8i 0.499699 1.37291i
\(546\) −6440.40 8424.73i −0.504805 0.660339i
\(547\) −19156.1 3377.73i −1.49736 0.264025i −0.635868 0.771798i \(-0.719358\pi\)
−0.861491 + 0.507773i \(0.830469\pi\)
\(548\) −10580.3 + 17991.5i −0.824756 + 1.40248i
\(549\) −492.434 + 5928.28i −0.0382815 + 0.460861i
\(550\) 18072.6 + 4920.11i 1.40112 + 0.381444i
\(551\) 4505.77 1639.96i 0.348370 0.126796i
\(552\) 16795.9 8535.12i 1.29508 0.658114i
\(553\) 18183.1 15257.4i 1.39823 1.17326i
\(554\) 715.825 7821.38i 0.0548962 0.599817i
\(555\) −900.614 4020.61i −0.0688809 0.307505i
\(556\) −1568.15 + 556.589i −0.119612 + 0.0424544i
\(557\) 8085.62 4668.23i 0.615078 0.355116i −0.159872 0.987138i \(-0.551108\pi\)
0.774950 + 0.632022i \(0.217775\pi\)
\(558\) −1850.18 + 674.230i −0.140366 + 0.0511513i
\(559\) −8596.57 4963.23i −0.650440 0.375532i
\(560\) 5859.92 30381.8i 0.442190 2.29262i
\(561\) −4387.86 3351.64i −0.330224 0.252240i
\(562\) 567.635 + 1230.12i 0.0426054 + 0.0923302i
\(563\) 949.915 + 5387.23i 0.0711086 + 0.403277i 0.999498 + 0.0316690i \(0.0100823\pi\)
−0.928390 + 0.371608i \(0.878807\pi\)
\(564\) 8874.29 335.852i 0.662544 0.0250743i
\(565\) 25985.1 + 21804.1i 1.93487 + 1.62355i
\(566\) −9615.89 9693.14i −0.714110 0.719847i
\(567\) 21324.4 187.298i 1.57944 0.0138726i
\(568\) 3525.33 + 3610.98i 0.260422 + 0.266749i
\(569\) −12323.7 + 14686.9i −0.907976 + 1.08208i 0.0883200 + 0.996092i \(0.471850\pi\)
−0.996296 + 0.0859914i \(0.972594\pi\)
\(570\) −3836.69 3528.44i −0.281932 0.259281i
\(571\) 11831.8 2086.26i 0.867153 0.152903i 0.277663 0.960678i \(-0.410440\pi\)
0.589490 + 0.807776i \(0.299329\pi\)
\(572\) −3082.99 + 8264.11i −0.225361 + 0.604090i
\(573\) −2437.60 + 3191.23i −0.177718 + 0.232662i
\(574\) 15439.7 + 22238.9i 1.12272 + 1.61714i
\(575\) −11869.5 + 20558.6i −0.860859 + 1.49105i
\(576\) −11477.3 + 7705.51i −0.830243 + 0.557401i
\(577\) −5771.20 9996.01i −0.416392 0.721212i 0.579182 0.815199i \(-0.303372\pi\)
−0.995573 + 0.0939867i \(0.970039\pi\)
\(578\) 5241.77 11124.6i 0.377213 0.800557i
\(579\) −23163.3 + 5188.57i −1.66258 + 0.372417i
\(580\) 18808.1 + 22782.4i 1.34649 + 1.63101i
\(581\) 18968.3 + 22605.6i 1.35445 + 1.61418i
\(582\) −5577.93 10762.5i −0.397273 0.766529i
\(583\) 7546.67 + 20734.3i 0.536108 + 1.47295i
\(584\) −5683.30 + 20235.7i −0.402699 + 1.43383i
\(585\) −4695.41 9954.97i −0.331848 0.703568i
\(586\) −5100.63 + 1344.86i −0.359565 + 0.0948050i
\(587\) −171.214 + 971.005i −0.0120388 + 0.0682754i −0.990235 0.139406i \(-0.955481\pi\)
0.978196 + 0.207682i \(0.0665918\pi\)
\(588\) 2904.60 21114.6i 0.203714 1.48087i
\(589\) 519.980 + 189.257i 0.0363759 + 0.0132397i
\(590\) −6223.37 + 8812.65i −0.434258 + 0.614934i
\(591\) −7873.80 + 15206.9i −0.548029 + 1.05842i
\(592\) 2320.32 + 2011.12i 0.161089 + 0.139623i
\(593\) 18518.0i 1.28237i 0.767388 + 0.641183i \(0.221556\pi\)
−0.767388 + 0.641183i \(0.778444\pi\)
\(594\) −9569.08 14935.1i −0.660983 1.03164i
\(595\) 11493.0i 0.791880i
\(596\) 10227.0 + 8721.90i 0.702879 + 0.599434i
\(597\) −4597.49 7181.76i −0.315180 0.492345i
\(598\) −9131.70 6448.68i −0.624453 0.440980i
\(599\) −7070.11 2573.31i −0.482265 0.175530i 0.0894353 0.995993i \(-0.471494\pi\)
−0.571700 + 0.820463i \(0.693716\pi\)
\(600\) 6823.29 16026.5i 0.464266 1.09047i
\(601\) 1592.54 9031.75i 0.108088 0.613000i −0.881853 0.471524i \(-0.843704\pi\)
0.989942 0.141476i \(-0.0451847\pi\)
\(602\) −8489.25 32197.0i −0.574744 2.17982i
\(603\) 1244.74 + 1233.85i 0.0840625 + 0.0833274i
\(604\) −11441.3 20188.2i −0.770760 1.36001i
\(605\) −3770.68 10359.8i −0.253388 0.696178i
\(606\) −950.145 + 20896.3i −0.0636914 + 1.40075i
\(607\) −9169.69 10928.0i −0.613157 0.730732i 0.366721 0.930331i \(-0.380480\pi\)
−0.979878 + 0.199599i \(0.936036\pi\)
\(608\) 3862.25 + 415.901i 0.257623 + 0.0277418i
\(609\) 23000.3 + 24990.0i 1.53041 + 1.66280i
\(610\) 9316.72 + 4389.92i 0.618398 + 0.291382i
\(611\) −2634.74 4563.51i −0.174452 0.302160i
\(612\) −3643.93 + 3617.72i −0.240682 + 0.238950i
\(613\) 659.682 1142.60i 0.0434655 0.0752844i −0.843474 0.537170i \(-0.819493\pi\)
0.886940 + 0.461885i \(0.152827\pi\)
\(614\) −99.5569 + 69.1185i −0.00654363 + 0.00454299i
\(615\) 10810.4 + 25937.4i 0.708810 + 1.70065i
\(616\) −26963.4 + 12181.4i −1.76361 + 0.796759i
\(617\) −10881.8 + 1918.75i −0.710022 + 0.125196i −0.516984 0.855995i \(-0.672945\pi\)
−0.193038 + 0.981191i \(0.561834\pi\)
\(618\) −9616.32 2150.10i −0.625931 0.139951i
\(619\) −2511.32 + 2992.88i −0.163067 + 0.194336i −0.841390 0.540428i \(-0.818262\pi\)
0.678323 + 0.734764i \(0.262707\pi\)
\(620\) −27.2796 + 3409.23i −0.00176706 + 0.220836i
\(621\) 21395.4 6901.22i 1.38256 0.445952i
\(622\) −10026.1 + 9946.17i −0.646316 + 0.641165i
\(623\) −19884.5 16685.1i −1.27874 1.07299i
\(624\) 7222.91 + 3887.69i 0.463378 + 0.249410i
\(625\) −2117.76 12010.4i −0.135536 0.768665i
\(626\) 13725.9 6333.74i 0.876351 0.404389i
\(627\) −639.732 + 4943.10i −0.0407471 + 0.314846i
\(628\) −1907.18 352.045i −0.121186 0.0223696i
\(629\) 987.737 + 570.270i 0.0626131 + 0.0361497i
\(630\) 12614.2 34699.4i 0.797716 2.19438i
\(631\) −14892.8 + 8598.39i −0.939580 + 0.542467i −0.889829 0.456295i \(-0.849176\pi\)
−0.0497513 + 0.998762i \(0.515843\pi\)
\(632\) −7958.60 + 16545.9i −0.500912 + 1.04139i
\(633\) 14228.8 + 4452.01i 0.893437 + 0.279544i
\(634\) −14549.2 1331.56i −0.911390 0.0834118i
\(635\) 18632.6 15634.6i 1.16443 0.977073i
\(636\) 20058.7 4324.89i 1.25060 0.269643i
\(637\) −11884.0 + 4325.43i −0.739188 + 0.269042i
\(638\) 7420.67 27257.6i 0.460481 1.69144i
\(639\) 3475.53 + 4917.47i 0.215164 + 0.304432i
\(640\) 5544.77 + 23282.8i 0.342463 + 1.43802i
\(641\) −13154.0 2319.41i −0.810534 0.142919i −0.247004 0.969015i \(-0.579446\pi\)
−0.563530 + 0.826096i \(0.690557\pi\)
\(642\) 1340.28 + 10324.4i 0.0823937 + 0.634693i
\(643\) 2185.53 6004.69i 0.134042 0.368277i −0.854454 0.519528i \(-0.826108\pi\)
0.988495 + 0.151251i \(0.0483301\pi\)
\(644\) −6216.00 36980.6i −0.380349 2.26280i
\(645\) −1583.32 34524.2i −0.0966559 2.10758i
\(646\) 1437.89 120.005i 0.0875744 0.00730885i
\(647\) 4558.28 0.276977 0.138489 0.990364i \(-0.455776\pi\)
0.138489 + 0.990364i \(0.455776\pi\)
\(648\) −14972.3 + 6923.09i −0.907664 + 0.419698i
\(649\) 10316.3 0.623961
\(650\) −10299.8 + 859.609i −0.621526 + 0.0518717i
\(651\) 179.564 + 3915.38i 0.0108105 + 0.235723i
\(652\) 95.1909 + 566.315i 0.00571773 + 0.0340163i
\(653\) 1625.16 4465.08i 0.0973924 0.267584i −0.881423 0.472328i \(-0.843414\pi\)
0.978816 + 0.204744i \(0.0656362\pi\)
\(654\) 2128.04 + 16392.7i 0.127237 + 0.980130i
\(655\) −14911.5 2629.30i −0.889529 0.156848i
\(656\) −17966.0 10759.6i −1.06929 0.640384i
\(657\) −10499.5 + 22776.8i −0.623476 + 1.35252i
\(658\) 4643.15 17055.3i 0.275090 1.01046i
\(659\) 3319.12 1208.06i 0.196198 0.0714102i −0.242052 0.970263i \(-0.577821\pi\)
0.438250 + 0.898853i \(0.355598\pi\)
\(660\) −30019.9 + 6472.62i −1.77049 + 0.381737i
\(661\) 21263.4 17842.1i 1.25121 1.04989i 0.254650 0.967033i \(-0.418040\pi\)
0.996561 0.0828577i \(-0.0264047\pi\)
\(662\) 7293.81 + 667.540i 0.428221 + 0.0391914i
\(663\) 2907.81 + 909.814i 0.170332 + 0.0532945i
\(664\) −20570.1 9894.28i −1.20222 0.578272i
\(665\) −8984.94 + 5187.46i −0.523941 + 0.302498i
\(666\) 2356.24 + 2805.83i 0.137091 + 0.163249i
\(667\) 31007.2 + 17902.0i 1.80000 + 1.03923i
\(668\) 10118.0 + 1867.67i 0.586043 + 0.108177i
\(669\) 3556.31 27479.0i 0.205523 1.58804i
\(670\) 2755.22 1271.39i 0.158871 0.0733103i
\(671\) −1710.15 9698.72i −0.0983896 0.557995i
\(672\) 7805.39 + 26384.9i 0.448065 + 1.51461i
\(673\) 11267.7 + 9454.73i 0.645377 + 0.541535i 0.905664 0.423996i \(-0.139373\pi\)
−0.260288 + 0.965531i \(0.583817\pi\)
\(674\) 4130.13 4097.21i 0.236034 0.234152i
\(675\) 11051.8 17602.7i 0.630201 1.00375i
\(676\) −101.688 + 12708.4i −0.00578564 + 0.723052i
\(677\) −8924.39 + 10635.7i −0.506636 + 0.603785i −0.957367 0.288875i \(-0.906719\pi\)
0.450731 + 0.892660i \(0.351163\pi\)
\(678\) −29437.8 6581.98i −1.66748 0.372831i
\(679\) −23761.2 + 4189.74i −1.34296 + 0.236800i
\(680\) 3660.12 + 8101.61i 0.206410 + 0.456886i
\(681\) 3759.43 + 9020.00i 0.211544 + 0.507558i
\(682\) 2677.98 1859.22i 0.150360 0.104389i
\(683\) 6665.35 11544.7i 0.373415 0.646774i −0.616673 0.787219i \(-0.711520\pi\)
0.990088 + 0.140445i \(0.0448534\pi\)
\(684\) 4472.95 + 1215.85i 0.250040 + 0.0679664i
\(685\) 21559.6 + 37342.4i 1.20256 + 2.08289i
\(686\) −12703.1 5985.56i −0.707009 0.333134i
\(687\) 11330.0 + 12310.1i 0.629209 + 0.683641i
\(688\) 16237.8 + 19992.7i 0.899797 + 1.10787i
\(689\) −7826.40 9327.15i −0.432746 0.515727i
\(690\) 1767.93 38881.7i 0.0975421 2.14522i
\(691\) 4815.88 + 13231.5i 0.265130 + 0.728439i 0.998802 + 0.0489350i \(0.0155827\pi\)
−0.733672 + 0.679504i \(0.762195\pi\)
\(692\) 187.552 + 330.937i 0.0103030 + 0.0181797i
\(693\) −34061.5 + 9287.25i −1.86708 + 0.509082i
\(694\) −324.430 1230.46i −0.0177452 0.0673020i
\(695\) −596.940 + 3385.41i −0.0325802 + 0.184771i
\(696\) −24171.7 10291.1i −1.31642 0.560464i
\(697\) −7309.40 2660.40i −0.397221 0.144577i
\(698\) −5044.20 3562.14i −0.273533 0.193165i
\(699\) 5956.88 + 9305.28i 0.322332 + 0.503517i
\(700\) −26379.5 22497.2i −1.42436 1.21473i
\(701\) 32067.6i 1.72778i −0.503677 0.863892i \(-0.668020\pi\)
0.503677 0.863892i \(-0.331980\pi\)
\(702\) 7780.59 + 5938.35i 0.418319 + 0.319271i
\(703\) 1029.58i 0.0552367i
\(704\) 15127.6 17173.7i 0.809860 0.919403i
\(705\) 8435.72 16292.1i 0.450649 0.870349i
\(706\) −11239.0 + 15915.0i −0.599127 + 0.848398i
\(707\) 39124.0 + 14240.0i 2.08120 + 0.757495i
\(708\) 1307.45 9504.31i 0.0694023 0.504511i
\(709\) 3326.78 18867.1i 0.176220 0.999393i −0.760506 0.649331i \(-0.775049\pi\)
0.936726 0.350063i \(-0.113840\pi\)
\(710\) 10081.0 2658.02i 0.532865 0.140498i
\(711\) −12487.2 + 18001.3i −0.658660 + 0.949512i
\(712\) 19330.5 + 5429.07i 1.01747 + 0.285763i
\(713\) 1413.19 + 3882.71i 0.0742279 + 0.203939i
\(714\) 4702.83 + 9074.00i 0.246497 + 0.475610i
\(715\) 11713.0 + 13959.0i 0.612644 + 0.730121i
\(716\) −3953.41 4788.79i −0.206349 0.249952i
\(717\) −22406.5 + 5019.03i −1.16706 + 0.261422i
\(718\) 10394.6 22060.5i 0.540284 1.14664i
\(719\) −14421.5 24978.8i −0.748029 1.29562i −0.948766 0.315979i \(-0.897667\pi\)
0.200737 0.979645i \(1.56433\pi\)
\(720\) 2158.57 + 28477.3i 0.111729 + 1.47401i
\(721\) −9806.44 + 16985.3i −0.506534 + 0.877342i
\(722\) 10321.0 + 14866.1i 0.532005 + 0.766289i
\(723\) −1257.30 + 1646.01i −0.0646741 + 0.0846692i
\(724\) 10984.7 29445.0i 0.563873 1.51149i
\(725\) 32599.5 5748.17i 1.66995 0.294457i
\(726\) 7216.17 + 6636.40i 0.368894 + 0.339256i
\(727\) 779.550 929.031i 0.0397688 0.0473946i −0.745793 0.666177i \(-0.767929\pi\)
0.785562 + 0.618783i \(0.212374\pi\)
\(728\) 11682.4 11405.3i 0.594752 0.580644i
\(729\) −18943.6 + 5344.36i −0.962432 + 0.271522i
\(730\) 30581.1 + 30826.8i 1.55049 + 1.56295i
\(731\) 7328.61 + 6149.44i 0.370805 + 0.311142i
\(732\) −9152.06 + 346.365i −0.462117 + 0.0174891i
\(733\) −808.521 4585.35i −0.0407414 0.231056i 0.957637 0.287977i \(-0.0929827\pi\)
−0.998379 + 0.0569213i \(0.981872\pi\)
\(734\) −147.510 319.668i −0.00741782 0.0160752i
\(735\) −34991.3 26727.9i −1.75602 1.34132i
\(736\) 16158.7 + 24088.6i 0.809266 + 1.20641i
\(737\) −2512.85 1450.79i −0.125593 0.0725111i
\(738\) −19148.4 16054.6i −0.955097 0.800786i
\(739\) −15756.5 + 9097.04i −0.784321 + 0.452828i −0.837960 0.545732i \(-0.816252\pi\)
0.0536381 + 0.998560i \(0.482918\pi\)
\(740\) 5978.13 2121.85i 0.296974 0.105406i
\(741\) −601.192 2683.90i −0.0298048 0.133057i
\(742\) 3722.39 40672.3i 0.184169 2.01230i
\(743\) 13563.7 11381.3i 0.669723 0.561964i −0.243260 0.969961i \(-0.578217\pi\)
0.912983 + 0.407997i \(0.133772\pi\)
\(744\) −1373.48 2702.83i −0.0676806 0.133186i
\(745\) 26093.4 9497.21i 1.28320 0.467048i
\(746\) 212.640 + 57.8895i 0.0104361 + 0.00284113i
\(747\) −22379.6 15524.3i −1.09615 0.760383i
\(748\) 4309.21 7327.74i 0.210642 0.358193i
\(749\) 20407.3 + 3598.36i 0.995551 + 0.175542i
\(750\) −3414.78 4466.90i −0.166253 0.217477i
\(751\) 6138.50 16865.4i 0.298265 0.819476i −0.696525 0.717532i \(-0.745272\pi\)
0.994790 0.101944i \(-0.0325062\pi\)
\(752\) 2158.45 + 13501.2i 0.104669 + 0.654705i
\(753\) −450.212 233.111i −0.0217884 0.0112816i
\(754\) 1296.49 + 15534.5i 0.0626198 + 0.750309i