Properties

Label 108.4.l.a.11.13
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 11.13
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.04068 - 1.95848i) q^{2} +(-2.83464 + 4.35486i) q^{3} +(0.328747 + 7.99324i) q^{4} +(-6.07198 + 16.6826i) q^{5} +(14.3135 - 3.33532i) q^{6} +(-22.8171 - 4.02326i) q^{7} +(14.9837 - 16.9555i) q^{8} +(-10.9297 - 24.6889i) q^{9} +O(q^{10})\) \(q+(-2.04068 - 1.95848i) q^{2} +(-2.83464 + 4.35486i) q^{3} +(0.328747 + 7.99324i) q^{4} +(-6.07198 + 16.6826i) q^{5} +(14.3135 - 3.33532i) q^{6} +(-22.8171 - 4.02326i) q^{7} +(14.9837 - 16.9555i) q^{8} +(-10.9297 - 24.6889i) q^{9} +(45.0635 - 22.1521i) q^{10} +(26.9709 - 9.81662i) q^{11} +(-35.7414 - 21.2263i) q^{12} +(34.3516 - 28.8244i) q^{13} +(38.6829 + 52.8969i) q^{14} +(-55.4387 - 73.7318i) q^{15} +(-63.7839 + 5.25551i) q^{16} +(19.0455 - 10.9959i) q^{17} +(-26.0487 + 71.7877i) q^{18} +(-107.247 - 61.9193i) q^{19} +(-135.344 - 43.0504i) q^{20} +(82.1989 - 87.9607i) q^{21} +(-74.2647 - 32.7894i) q^{22} +(28.8488 + 163.610i) q^{23} +(31.3655 + 113.315i) q^{24} +(-145.685 - 122.245i) q^{25} +(-126.552 - 8.45536i) q^{26} +(138.498 + 22.3868i) q^{27} +(24.6579 - 183.705i) q^{28} +(19.0064 - 22.6510i) q^{29} +(-31.2693 + 259.038i) q^{30} +(-29.1950 + 5.14787i) q^{31} +(140.455 + 114.194i) q^{32} +(-33.7028 + 145.281i) q^{33} +(-60.4009 - 14.8609i) q^{34} +(205.663 - 356.219i) q^{35} +(193.751 - 95.4800i) q^{36} +(-99.4723 - 172.291i) q^{37} +(97.5901 + 336.399i) q^{38} +(28.1521 + 231.303i) q^{39} +(191.881 + 352.921i) q^{40} +(-305.793 - 364.430i) q^{41} +(-340.010 + 18.5152i) q^{42} +(7.64407 + 21.0019i) q^{43} +(87.3332 + 212.358i) q^{44} +(478.240 - 32.4251i) q^{45} +(261.555 - 390.375i) q^{46} +(-0.135045 + 0.765881i) q^{47} +(157.917 - 292.667i) q^{48} +(182.117 + 66.2853i) q^{49} +(57.8842 + 534.783i) q^{50} +(-6.10130 + 114.110i) q^{51} +(241.693 + 265.104i) q^{52} +437.633i q^{53} +(-238.787 - 316.930i) q^{54} +509.552i q^{55} +(-410.101 + 326.591i) q^{56} +(573.657 - 291.529i) q^{57} +(-83.1474 + 8.99976i) q^{58} +(-449.413 - 163.573i) q^{59} +(571.131 - 467.374i) q^{60} +(131.853 - 747.778i) q^{61} +(69.6597 + 46.6726i) q^{62} +(150.053 + 607.301i) q^{63} +(-62.9773 - 508.112i) q^{64} +(272.284 + 748.095i) q^{65} +(353.306 - 230.467i) q^{66} +(-132.929 - 158.419i) q^{67} +(94.1540 + 148.620i) q^{68} +(-794.274 - 338.142i) q^{69} +(-1117.34 + 324.143i) q^{70} +(-301.022 - 521.386i) q^{71} +(-582.380 - 184.613i) q^{72} +(-372.245 + 644.747i) q^{73} +(-134.437 + 546.405i) q^{74} +(945.323 - 287.921i) q^{75} +(459.679 - 877.610i) q^{76} +(-654.893 + 115.475i) q^{77} +(395.552 - 527.150i) q^{78} +(-345.029 + 411.190i) q^{79} +(299.618 - 1095.99i) q^{80} +(-490.084 + 539.684i) q^{81} +(-89.7016 + 1342.57i) q^{82} +(-515.061 - 432.187i) q^{83} +(730.114 + 628.119i) q^{84} +(67.7968 + 384.495i) q^{85} +(25.5326 - 57.8289i) q^{86} +(44.7656 + 146.978i) q^{87} +(237.679 - 604.395i) q^{88} +(609.447 + 351.864i) q^{89} +(-1039.44 - 870.453i) q^{90} +(-899.770 + 519.482i) q^{91} +(-1298.29 + 284.382i) q^{92} +(60.3390 - 141.733i) q^{93} +(1.77554 - 1.29843i) q^{94} +(1684.18 - 1413.19i) q^{95} +(-895.440 + 287.964i) q^{96} +(-1081.80 + 393.744i) q^{97} +(-241.825 - 491.940i) q^{98} +(-537.145 - 558.591i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.04068 1.95848i −0.721489 0.692426i
\(3\) −2.83464 + 4.35486i −0.545526 + 0.838094i
\(4\) 0.328747 + 7.99324i 0.0410934 + 0.999155i
\(5\) −6.07198 + 16.6826i −0.543094 + 1.49214i 0.299769 + 0.954012i \(0.403090\pi\)
−0.842864 + 0.538127i \(0.819132\pi\)
\(6\) 14.3135 3.33532i 0.973909 0.226940i
\(7\) −22.8171 4.02326i −1.23201 0.217236i −0.480519 0.876984i \(-0.659552\pi\)
−0.751487 + 0.659748i \(0.770663\pi\)
\(8\) 14.9837 16.9555i 0.662192 0.749334i
\(9\) −10.9297 24.6889i −0.404803 0.914404i
\(10\) 45.0635 22.1521i 1.42503 0.700510i
\(11\) 26.9709 9.81662i 0.739277 0.269075i 0.0551906 0.998476i \(-0.482423\pi\)
0.684086 + 0.729401i \(0.260201\pi\)
\(12\) −35.7414 21.2263i −0.859803 0.510625i
\(13\) 34.3516 28.8244i 0.732877 0.614957i −0.198037 0.980195i \(-0.563457\pi\)
0.930914 + 0.365237i \(0.119012\pi\)
\(14\) 38.6829 + 52.8969i 0.738459 + 1.00981i
\(15\) −55.4387 73.7318i −0.954281 1.26916i
\(16\) −63.7839 + 5.25551i −0.996623 + 0.0821173i
\(17\) 19.0455 10.9959i 0.271718 0.156876i −0.357950 0.933741i \(-0.616524\pi\)
0.629668 + 0.776864i \(0.283191\pi\)
\(18\) −26.0487 + 71.7877i −0.341096 + 0.940028i
\(19\) −107.247 61.9193i −1.29496 0.747645i −0.315431 0.948949i \(-0.602149\pi\)
−0.979529 + 0.201303i \(0.935482\pi\)
\(20\) −135.344 43.0504i −1.51320 0.481318i
\(21\) 82.1989 87.9607i 0.854155 0.914029i
\(22\) −74.2647 32.7894i −0.719695 0.317760i
\(23\) 28.8488 + 163.610i 0.261539 + 1.48326i 0.778713 + 0.627381i \(0.215873\pi\)
−0.517174 + 0.855880i \(0.673016\pi\)
\(24\) 31.3655 + 113.315i 0.266769 + 0.963760i
\(25\) −145.685 122.245i −1.16548 0.977956i
\(26\) −126.552 8.45536i −0.954575 0.0637782i
\(27\) 138.498 + 22.3868i 0.987187 + 0.159568i
\(28\) 24.6579 183.705i 0.166425 1.23989i
\(29\) 19.0064 22.6510i 0.121704 0.145041i −0.701752 0.712421i \(-0.747599\pi\)
0.823456 + 0.567380i \(0.192043\pi\)
\(30\) −31.2693 + 259.038i −0.190299 + 1.57646i
\(31\) −29.1950 + 5.14787i −0.169148 + 0.0298253i −0.257581 0.966257i \(-0.582925\pi\)
0.0884327 + 0.996082i \(0.471814\pi\)
\(32\) 140.455 + 114.194i 0.775913 + 0.630840i
\(33\) −33.7028 + 145.281i −0.177785 + 0.766371i
\(34\) −60.4009 14.8609i −0.304667 0.0749598i
\(35\) 205.663 356.219i 0.993241 1.72034i
\(36\) 193.751 95.4800i 0.896997 0.442037i
\(37\) −99.4723 172.291i −0.441977 0.765526i 0.555859 0.831276i \(-0.312389\pi\)
−0.997836 + 0.0657500i \(0.979056\pi\)
\(38\) 97.5901 + 336.399i 0.416611 + 1.43608i
\(39\) 28.1521 + 231.303i 0.115588 + 0.949695i
\(40\) 191.881 + 352.921i 0.758477 + 1.39504i
\(41\) −305.793 364.430i −1.16480 1.38816i −0.906560 0.422077i \(-0.861301\pi\)
−0.258242 0.966080i \(-0.583143\pi\)
\(42\) −340.010 + 18.5152i −1.24916 + 0.0680229i
\(43\) 7.64407 + 21.0019i 0.0271095 + 0.0744828i 0.952509 0.304510i \(-0.0984927\pi\)
−0.925400 + 0.378993i \(0.876270\pi\)
\(44\) 87.3332 + 212.358i 0.299227 + 0.727595i
\(45\) 478.240 32.4251i 1.58426 0.107415i
\(46\) 261.555 390.375i 0.838351 1.25125i
\(47\) −0.135045 + 0.765881i −0.000419115 + 0.00237692i −0.985017 0.172460i \(-0.944829\pi\)
0.984597 + 0.174837i \(0.0559397\pi\)
\(48\) 157.917 292.667i 0.474862 0.880061i
\(49\) 182.117 + 66.2853i 0.530954 + 0.193252i
\(50\) 57.8842 + 534.783i 0.163721 + 1.51259i
\(51\) −6.10130 + 114.110i −0.0167520 + 0.313305i
\(52\) 241.693 + 265.104i 0.644554 + 0.706988i
\(53\) 437.633i 1.13422i 0.823643 + 0.567109i \(0.191938\pi\)
−0.823643 + 0.567109i \(0.808062\pi\)
\(54\) −238.787 316.930i −0.601755 0.798680i
\(55\) 509.552i 1.24924i
\(56\) −410.101 + 326.591i −0.978607 + 0.779332i
\(57\) 573.657 291.529i 1.33303 0.677438i
\(58\) −83.1474 + 8.99976i −0.188238 + 0.0203746i
\(59\) −449.413 163.573i −0.991670 0.360939i −0.205304 0.978698i \(-0.565818\pi\)
−0.786367 + 0.617760i \(0.788040\pi\)
\(60\) 571.131 467.374i 1.22888 1.00563i
\(61\) 131.853 747.778i 0.276756 1.56956i −0.456573 0.889686i \(-0.650923\pi\)
0.733329 0.679874i \(-0.237966\pi\)
\(62\) 69.6597 + 46.6726i 0.142690 + 0.0956037i
\(63\) 150.053 + 607.301i 0.300078 + 1.21449i
\(64\) −62.9773 508.112i −0.123003 0.992406i
\(65\) 272.284 + 748.095i 0.519580 + 1.42753i
\(66\) 353.306 230.467i 0.658925 0.429825i
\(67\) −132.929 158.419i −0.242387 0.288865i 0.631112 0.775692i \(-0.282599\pi\)
−0.873499 + 0.486826i \(0.838154\pi\)
\(68\) 94.1540 + 148.620i 0.167910 + 0.265042i
\(69\) −794.274 338.142i −1.38579 0.589963i
\(70\) −1117.34 + 324.143i −1.90782 + 0.553464i
\(71\) −301.022 521.386i −0.503166 0.871509i −0.999993 0.00365957i \(-0.998835\pi\)
0.496827 0.867849i \(1.66550\pi\)
\(72\) −582.380 184.613i −0.953251 0.302179i
\(73\) −372.245 + 644.747i −0.596822 + 1.03373i 0.396465 + 0.918050i \(0.370237\pi\)
−0.993287 + 0.115676i \(0.963097\pi\)
\(74\) −134.437 + 546.405i −0.211189 + 0.858355i
\(75\) 945.323 287.921i 1.45542 0.443283i
\(76\) 459.679 877.610i 0.693800 1.32459i
\(77\) −654.893 + 115.475i −0.969246 + 0.170904i
\(78\) 395.552 527.150i 0.574198 0.765231i
\(79\) −345.029 + 411.190i −0.491378 + 0.585601i −0.953567 0.301180i \(-0.902620\pi\)
0.462190 + 0.886781i \(0.347064\pi\)
\(80\) 299.618 1095.99i 0.418729 1.53170i
\(81\) −490.084 + 539.684i −0.672269 + 0.740307i
\(82\) −89.7016 + 1342.57i −0.120803 + 1.80808i
\(83\) −515.061 432.187i −0.681148 0.571551i 0.235194 0.971949i \(-0.424428\pi\)
−0.916342 + 0.400398i \(0.868872\pi\)
\(84\) 730.114 + 628.119i 0.948357 + 0.815873i
\(85\) 67.7968 + 384.495i 0.0865129 + 0.490639i
\(86\) 25.5326 57.8289i 0.0320146 0.0725098i
\(87\) 44.7656 + 146.978i 0.0551652 + 0.181122i
\(88\) 237.679 604.395i 0.287917 0.732144i
\(89\) 609.447 + 351.864i 0.725857 + 0.419074i 0.816905 0.576773i \(-0.195688\pi\)
−0.0910477 + 0.995847i \(0.529022\pi\)
\(90\) −1039.44 870.453i −1.21741 1.01949i
\(91\) −899.770 + 519.482i −1.03650 + 0.598424i
\(92\) −1298.29 + 284.382i −1.47126 + 0.322270i
\(93\) 60.3390 141.733i 0.0672781 0.158032i
\(94\) 1.77554 1.29843i 0.00194823 0.00142472i
\(95\) 1684.18 1413.19i 1.81888 1.52622i
\(96\) −895.440 + 287.964i −0.951984 + 0.306148i
\(97\) −1081.80 + 393.744i −1.13237 + 0.412151i −0.839154 0.543894i \(-0.816949\pi\)
−0.293221 + 0.956045i \(0.594727\pi\)
\(98\) −241.825 491.940i −0.249266 0.507075i
\(99\) −537.145 558.591i −0.545304 0.567076i
\(100\) 929.236 1204.69i 0.929236 1.20469i
\(101\) −650.991 114.787i −0.641347 0.113087i −0.156489 0.987680i \(-0.550018\pi\)
−0.484858 + 0.874593i \(0.661129\pi\)
\(102\) 235.932 220.912i 0.229027 0.214447i
\(103\) 220.075 604.650i 0.210530 0.578427i −0.788814 0.614632i \(-0.789305\pi\)
0.999344 + 0.0362048i \(0.0115269\pi\)
\(104\) 25.9820 1014.34i 0.0244976 0.956390i
\(105\) 968.306 + 1905.39i 0.899971 + 1.77092i
\(106\) 857.094 893.069i 0.785361 0.818326i
\(107\) 418.126 0.377773 0.188887 0.981999i \(-0.439512\pi\)
0.188887 + 0.981999i \(0.439512\pi\)
\(108\) −133.412 + 1114.41i −0.118867 + 0.992910i
\(109\) 1644.41 1.44501 0.722503 0.691368i \(-0.242992\pi\)
0.722503 + 0.691368i \(0.242992\pi\)
\(110\) 997.946 1039.83i 0.865004 0.901311i
\(111\) 1032.27 + 55.1942i 0.882693 + 0.0471964i
\(112\) 1476.50 + 136.704i 1.24568 + 0.115333i
\(113\) 377.613 1037.48i 0.314361 0.863700i −0.677402 0.735613i \(-0.736894\pi\)
0.991763 0.128087i \(-0.0408836\pi\)
\(114\) −1741.60 528.577i −1.43084 0.434261i
\(115\) −2904.61 512.161i −2.35527 0.415298i
\(116\) 187.303 + 144.476i 0.149919 + 0.115641i
\(117\) −1087.09 533.061i −0.858990 0.421210i
\(118\) 596.754 + 1213.96i 0.465556 + 0.947071i
\(119\) −478.801 + 174.269i −0.368837 + 0.134246i
\(120\) −2080.84 164.785i −1.58295 0.125356i
\(121\) −388.539 + 326.023i −0.291915 + 0.244946i
\(122\) −1733.58 + 1267.74i −1.28648 + 0.940788i
\(123\) 2453.86 298.661i 1.79884 0.218938i
\(124\) −50.7460 231.671i −0.0367510 0.167779i
\(125\) 1002.11 578.568i 0.717051 0.413989i
\(126\) 883.175 1533.18i 0.624440 1.08402i
\(127\) 985.395 + 568.918i 0.688502 + 0.397507i 0.803050 0.595911i \(-0.203209\pi\)
−0.114549 + 0.993418i \(0.536542\pi\)
\(128\) −866.609 + 1160.23i −0.598423 + 0.801181i
\(129\) −113.129 26.2439i −0.0772125 0.0179120i
\(130\) 909.481 2059.88i 0.613590 1.38972i
\(131\) 395.269 + 2241.68i 0.263625 + 1.49509i 0.772923 + 0.634499i \(0.218794\pi\)
−0.509299 + 0.860590i \(0.670095\pi\)
\(132\) −1172.35 221.634i −0.773029 0.146142i
\(133\) 2197.95 + 1844.30i 1.43298 + 1.20242i
\(134\) −38.9936 + 583.622i −0.0251383 + 0.376248i
\(135\) −1214.43 + 2174.59i −0.774234 + 1.38636i
\(136\) 98.9306 487.684i 0.0623767 0.307490i
\(137\) −617.308 + 735.679i −0.384965 + 0.458783i −0.923375 0.383900i \(-0.874581\pi\)
0.538410 + 0.842683i \(0.319025\pi\)
\(138\) 958.618 + 2245.61i 0.591326 + 1.38521i
\(139\) −270.510 + 47.6983i −0.165068 + 0.0291059i −0.255571 0.966790i \(-0.582263\pi\)
0.0905035 + 0.995896i \(0.471152\pi\)
\(140\) 2914.96 + 1526.81i 1.75971 + 0.921708i
\(141\) −2.95250 2.75910i −0.00176344 0.00164793i
\(142\) −406.832 + 1653.53i −0.240426 + 0.977189i
\(143\) 643.536 1114.64i 0.376330 0.651823i
\(144\) 826.890 + 1517.31i 0.478524 + 0.878074i
\(145\) 262.471 + 454.613i 0.150324 + 0.260369i
\(146\) 2022.35 586.690i 1.14638 0.332567i
\(147\) −804.900 + 605.202i −0.451612 + 0.339566i
\(148\) 1344.46 851.746i 0.746717 0.473062i
\(149\) −479.946 571.977i −0.263884 0.314485i 0.617791 0.786343i \(-0.288028\pi\)
−0.881675 + 0.471858i \(0.843584\pi\)
\(150\) −2492.99 1263.84i −1.35701 0.687946i
\(151\) −513.538 1410.93i −0.276762 0.760398i −0.997724 0.0674236i \(-0.978522\pi\)
0.720962 0.692974i \(1.75630\pi\)
\(152\) −2656.83 + 890.651i −1.41775 + 0.475272i
\(153\) −479.637 350.030i −0.253440 0.184956i
\(154\) 1562.58 + 1046.94i 0.817639 + 0.547825i
\(155\) 91.3916 518.308i 0.0473597 0.268590i
\(156\) −1839.61 + 301.067i −0.944143 + 0.154517i
\(157\) −3229.93 1175.60i −1.64189 0.597598i −0.654519 0.756045i \(-0.727129\pi\)
−0.987367 + 0.158447i \(0.949351\pi\)
\(158\) 1509.40 163.376i 0.760009 0.0822624i
\(159\) −1905.83 1240.53i −0.950581 0.618745i
\(160\) −2757.90 + 1649.78i −1.36270 + 0.815164i
\(161\) 3849.16i 1.88420i
\(162\) 2057.06 141.503i 0.997642 0.0686266i
\(163\) 321.108i 0.154301i 0.997019 + 0.0771507i \(0.0245823\pi\)
−0.997019 + 0.0771507i \(0.975418\pi\)
\(164\) 2812.45 2564.09i 1.33912 1.22086i
\(165\) −2219.03 1444.40i −1.04698 0.681491i
\(166\) 204.646 + 1890.69i 0.0956843 + 0.884012i
\(167\) 373.713 + 136.021i 0.173166 + 0.0630275i 0.427148 0.904182i \(-0.359518\pi\)
−0.253982 + 0.967209i \(0.581740\pi\)
\(168\) −259.774 2711.70i −0.119298 1.24531i
\(169\) −32.3204 + 183.298i −0.0147112 + 0.0834311i
\(170\) 614.672 917.409i 0.277313 0.413895i
\(171\) −356.541 + 3324.58i −0.159447 + 1.48677i
\(172\) −165.360 + 68.0052i −0.0733058 + 0.0301474i
\(173\) 320.865 + 881.568i 0.141011 + 0.387424i 0.990015 0.140962i \(-0.0450196\pi\)
−0.849004 + 0.528386i \(0.822797\pi\)
\(174\) 196.500 387.607i 0.0856127 0.168876i
\(175\) 2832.29 + 3375.39i 1.22343 + 1.45803i
\(176\) −1668.72 + 767.888i −0.714684 + 0.328873i
\(177\) 1986.26 1493.46i 0.843482 0.634212i
\(178\) −554.568 1911.63i −0.233521 0.804959i
\(179\) −1276.48 2210.92i −0.533007 0.923196i −0.999257 0.0385428i \(-0.987728\pi\)
0.466249 0.884653i \(1.65440\pi\)
\(180\) 416.402 + 3812.03i 0.172427 + 1.57851i
\(181\) −1106.81 + 1917.05i −0.454523 + 0.787257i −0.998661 0.0517393i \(-0.983524\pi\)
0.544138 + 0.838996i \(0.316857\pi\)
\(182\) 2853.54 + 702.080i 1.16219 + 0.285943i
\(183\) 2882.72 + 2693.88i 1.16446 + 1.08818i
\(184\) 3206.35 + 1962.33i 1.28465 + 0.786224i
\(185\) 3478.26 613.311i 1.38231 0.243738i
\(186\) −400.713 + 171.059i −0.157966 + 0.0674335i
\(187\) 405.731 483.532i 0.158663 0.189087i
\(188\) −6.16627 0.827670i −0.00239213 0.000321085i
\(189\) −3070.06 1068.02i −1.18156 0.411042i
\(190\) −6204.58 414.547i −2.36909 0.158286i
\(191\) −1017.90 854.116i −0.385615 0.323569i 0.429287 0.903168i \(-0.358765\pi\)
−0.814902 + 0.579599i \(0.803209\pi\)
\(192\) 2391.28 + 1166.06i 0.898831 + 0.438296i
\(193\) −662.573 3757.64i −0.247114 1.40145i −0.815531 0.578713i \(-0.803555\pi\)
0.568417 0.822741i \(-0.307556\pi\)
\(194\) 2978.75 + 1315.18i 1.10238 + 0.486723i
\(195\) −4029.68 934.816i −1.47985 0.343300i
\(196\) −469.964 + 1477.50i −0.171270 + 0.538447i
\(197\) 2541.31 + 1467.22i 0.919089 + 0.530636i 0.883344 0.468725i \(-0.155286\pi\)
0.0357447 + 0.999361i \(0.488620\pi\)
\(198\) 2.15532 + 2191.89i 0.000773596 + 0.786722i
\(199\) 492.385 284.279i 0.175398 0.101266i −0.409730 0.912207i \(-0.634377\pi\)
0.585129 + 0.810940i \(0.301044\pi\)
\(200\) −4255.62 + 638.491i −1.50459 + 0.225741i
\(201\) 1066.70 129.829i 0.374325 0.0455593i
\(202\) 1103.66 + 1509.19i 0.384421 + 0.525676i
\(203\) −524.802 + 440.361i −0.181448 + 0.152253i
\(204\) −914.112 11.2559i −0.313729 0.00386309i
\(205\) 7936.42 2888.62i 2.70392 0.984147i
\(206\) −1633.29 + 802.887i −0.552413 + 0.271552i
\(207\) 3724.04 2500.45i 1.25043 0.839581i
\(208\) −2039.59 + 2019.06i −0.679904 + 0.673062i
\(209\) −3500.40 617.215i −1.15851 0.204276i
\(210\) 1755.65 5784.69i 0.576912 1.90086i
\(211\) 2016.28 5539.69i 0.657851 1.80743i 0.0713978 0.997448i \(-0.477254\pi\)
0.586453 0.809983i \(-0.300524\pi\)
\(212\) −3498.11 + 143.871i −1.13326 + 0.0466088i
\(213\) 3123.85 + 167.028i 1.00490 + 0.0537305i
\(214\) −853.261 818.889i −0.272559 0.261580i
\(215\) −396.781 −0.125862
\(216\) 2454.80 2012.87i 0.773278 0.634068i
\(217\) 686.857 0.214870
\(218\) −3355.71 3220.53i −1.04256 1.00056i
\(219\) −1752.61 3448.70i −0.540777 1.06412i
\(220\) −4072.98 + 167.514i −1.24818 + 0.0513354i
\(221\) 337.291 926.699i 0.102664 0.282066i
\(222\) −1998.44 2134.31i −0.604173 0.645251i
\(223\) 2149.21 + 378.963i 0.645388 + 0.113799i 0.486755 0.873538i \(-0.338180\pi\)
0.158633 + 0.987338i \(0.449291\pi\)
\(224\) −2745.34 3170.67i −0.818888 0.945755i
\(225\) −1425.79 + 4932.91i −0.422456 + 1.46160i
\(226\) −2802.47 + 1377.62i −0.824856 + 0.405479i
\(227\) −2728.98 + 993.266i −0.797923 + 0.290420i −0.708625 0.705585i \(-0.750684\pi\)
−0.0892973 + 0.996005i \(0.528462\pi\)
\(228\) 2518.85 + 4489.54i 0.731644 + 1.30407i
\(229\) −1139.59 + 956.230i −0.328848 + 0.275936i −0.792230 0.610222i \(-0.791080\pi\)
0.463382 + 0.886159i \(0.346636\pi\)
\(230\) 4924.32 + 6733.76i 1.41174 + 1.93048i
\(231\) 1353.50 3179.30i 0.385515 0.905552i
\(232\) −99.2718 661.659i −0.0280927 0.187241i
\(233\) −3475.51 + 2006.59i −0.977203 + 0.564188i −0.901425 0.432936i \(-0.857478\pi\)
−0.0757785 + 0.997125i \(0.524144\pi\)
\(234\) 1174.42 + 3216.85i 0.328096 + 0.898685i
\(235\) −11.9569 6.90332i −0.00331907 0.00191627i
\(236\) 1159.73 3646.04i 0.319883 1.00567i
\(237\) −812.644 2668.13i −0.222729 0.731281i
\(238\) 1318.38 + 582.092i 0.359067 + 0.158535i
\(239\) 643.496 + 3649.45i 0.174160 + 0.987711i 0.939109 + 0.343620i \(0.111653\pi\)
−0.764949 + 0.644091i \(0.777236\pi\)
\(240\) 3923.59 + 4411.54i 1.05528 + 1.18652i
\(241\) −3417.63 2867.73i −0.913481 0.766502i 0.0592968 0.998240i \(-0.481114\pi\)
−0.972778 + 0.231739i \(0.925559\pi\)
\(242\) 1431.39 + 95.6359i 0.380221 + 0.0254037i
\(243\) −961.037 3664.06i −0.253706 0.967281i
\(244\) 6020.52 + 808.107i 1.57961 + 0.212024i
\(245\) −2211.63 + 2635.71i −0.576717 + 0.687304i
\(246\) −5592.46 4196.35i −1.44944 1.08760i
\(247\) −5468.90 + 964.314i −1.40882 + 0.248412i
\(248\) −350.165 + 572.151i −0.0896593 + 0.146498i
\(249\) 3342.13 1017.93i 0.850597 0.259070i
\(250\) −3178.09 781.934i −0.804001 0.197815i
\(251\) 1231.75 2133.45i 0.309750 0.536503i −0.668558 0.743660i \(-0.733088\pi\)
0.978308 + 0.207158i \(0.0664213\pi\)
\(252\) −4804.98 + 1399.06i −1.20113 + 0.349732i
\(253\) 2384.18 + 4129.51i 0.592458 + 1.02617i
\(254\) −896.664 3090.85i −0.221503 0.763533i
\(255\) −1866.60 794.657i −0.458397 0.195150i
\(256\) 4040.76 670.433i 0.986513 0.163680i
\(257\) −1204.56 1435.54i −0.292367 0.348430i 0.599788 0.800159i \(-0.295252\pi\)
−0.892155 + 0.451729i \(0.850807\pi\)
\(258\) 179.461 + 275.115i 0.0433053 + 0.0663872i
\(259\) 1576.49 + 4331.38i 0.378218 + 1.03915i
\(260\) −5890.19 + 2422.37i −1.40498 + 0.577803i
\(261\) −766.962 221.680i −0.181892 0.0525734i
\(262\) 3583.66 5348.68i 0.845036 1.26123i
\(263\) −1158.42 + 6569.72i −0.271601 + 1.54033i 0.477954 + 0.878385i \(0.341379\pi\)
−0.749555 + 0.661942i \(0.769732\pi\)
\(264\) 1958.32 + 2748.30i 0.456540 + 0.640705i
\(265\) −7300.87 2657.30i −1.69241 0.615987i
\(266\) −873.298 8068.27i −0.201298 1.85976i
\(267\) −3259.88 + 1656.65i −0.747197 + 0.379721i
\(268\) 1222.58 1114.62i 0.278661 0.254053i
\(269\) 223.625i 0.0506864i −0.999679 0.0253432i \(-0.991932\pi\)
0.999679 0.0253432i \(-0.00806786\pi\)
\(270\) 6737.14 2059.20i 1.51855 0.464144i
\(271\) 3527.79i 0.790768i 0.918516 + 0.395384i \(0.129388\pi\)
−0.918516 + 0.395384i \(0.870612\pi\)
\(272\) −1157.00 + 801.454i −0.257918 + 0.178659i
\(273\) 288.245 5390.92i 0.0639026 1.19514i
\(274\) 2700.54 292.302i 0.595421 0.0644476i
\(275\) −5129.30 1866.91i −1.12476 0.409378i
\(276\) 2441.73 6459.99i 0.532518 1.40886i
\(277\) 18.8543 106.928i 0.00408970 0.0231938i −0.982695 0.185233i \(-0.940696\pi\)
0.986784 + 0.162039i \(0.0518071\pi\)
\(278\) 645.441 + 432.451i 0.139248 + 0.0932974i
\(279\) 446.188 + 664.529i 0.0957440 + 0.142596i
\(280\) −2958.28 8824.61i −0.631396 1.88347i
\(281\) 493.882 + 1356.93i 0.104849 + 0.288070i 0.981013 0.193944i \(-0.0621279\pi\)
−0.876164 + 0.482013i \(0.839906\pi\)
\(282\) 0.621484 + 11.4128i 0.000131237 + 0.00241002i
\(283\) −623.562 743.133i −0.130979 0.156094i 0.696569 0.717490i \(-0.254709\pi\)
−0.827548 + 0.561396i \(0.810265\pi\)
\(284\) 4068.60 2577.55i 0.850096 0.538554i
\(285\) 1380.23 + 11340.3i 0.286870 + 2.35698i
\(286\) −3496.24 + 1014.27i −0.722857 + 0.209702i
\(287\) 5511.11 + 9545.52i 1.13349 + 1.96325i
\(288\) 1284.20 4715.79i 0.262751 0.964864i
\(289\) −2214.68 + 3835.94i −0.450780 + 0.780773i
\(290\) 354.729 1441.76i 0.0718291 0.291942i
\(291\) 1351.81 5827.22i 0.272319 1.17388i
\(292\) −5276.00 2763.49i −1.05738 0.553838i
\(293\) −8106.94 + 1429.47i −1.61642 + 0.285019i −0.907433 0.420198i \(-0.861961\pi\)
−0.708992 + 0.705217i \(0.750850\pi\)
\(294\) 2827.82 + 341.354i 0.560958 + 0.0677149i
\(295\) 5457.65 6504.17i 1.07714 1.28369i
\(296\) −4411.74 894.957i −0.866309 0.175737i
\(297\) 3955.20 755.793i 0.772740 0.147662i
\(298\) −140.788 + 2107.19i −0.0273678 + 0.409617i
\(299\) 5706.95 + 4788.70i 1.10382 + 0.926213i
\(300\) 2612.20 + 7461.54i 0.502717 + 1.43597i
\(301\) −89.9190 509.956i −0.0172188 0.0976524i
\(302\) −1715.31 + 3885.01i −0.326838 + 0.740256i
\(303\) 2345.21 2509.60i 0.444649 0.475817i
\(304\) 7166.07 + 3385.81i 1.35198 + 0.638782i
\(305\) 11674.3 + 6740.15i 2.19170 + 1.26538i
\(306\) 293.261 + 1653.66i 0.0547864 + 0.308932i
\(307\) 2009.06 1159.93i 0.373496 0.215638i −0.301489 0.953470i \(-0.597484\pi\)
0.674985 + 0.737832i \(0.264150\pi\)
\(308\) −1138.32 5196.75i −0.210589 0.961404i
\(309\) 2009.34 + 2672.36i 0.369926 + 0.491991i
\(310\) −1201.59 + 878.712i −0.220148 + 0.160992i
\(311\) 2497.44 2095.60i 0.455360 0.382092i −0.386061 0.922473i \(-0.626164\pi\)
0.841420 + 0.540381i \(0.181720\pi\)
\(312\) 4343.68 + 2988.44i 0.788181 + 0.542267i
\(313\) 3978.05 1447.89i 0.718379 0.261469i 0.0431415 0.999069i \(-0.486263\pi\)
0.675237 + 0.737600i \(0.264041\pi\)
\(314\) 4288.87 + 8724.75i 0.770812 + 1.56805i
\(315\) −11042.5 1184.24i −1.97516 0.211824i
\(316\) −3400.17 2622.73i −0.605299 0.466898i
\(317\) 8885.14 + 1566.69i 1.57426 + 0.277584i 0.891486 0.453049i \(-0.149664\pi\)
0.682771 + 0.730633i \(0.260775\pi\)
\(318\) 1459.64 + 6264.05i 0.257399 + 1.10462i
\(319\) 290.265 797.497i 0.0509459 0.139973i
\(320\) 8859.04 + 2034.62i 1.54761 + 0.355433i
\(321\) −1185.23 + 1820.88i −0.206085 + 0.316609i
\(322\) −7538.49 + 7854.91i −1.30467 + 1.35943i
\(323\) −2723.43 −0.469151
\(324\) −4474.93 3739.94i −0.767307 0.641280i
\(325\) −8528.14 −1.45556
\(326\) 628.882 655.279i 0.106842 0.111327i
\(327\) −4661.29 + 7161.17i −0.788288 + 1.21105i
\(328\) −10761.0 275.639i −1.81152 0.0464013i
\(329\) 6.16268 16.9318i 0.00103270 0.00283733i
\(330\) 1699.52 + 7293.47i 0.283501 + 1.21664i
\(331\) −1668.48 294.197i −0.277063 0.0488536i 0.0333902 0.999442i \(-0.489370\pi\)
−0.310453 + 0.950589i \(0.600481\pi\)
\(332\) 3285.25 4259.09i 0.543078 0.704060i
\(333\) −3166.48 + 4338.95i −0.521087 + 0.714033i
\(334\) −496.236 1009.48i −0.0812959 0.165379i
\(335\) 3449.99 1255.69i 0.562666 0.204794i
\(336\) −4780.68 + 6042.47i −0.776213 + 0.981083i
\(337\) 2376.53 1994.14i 0.384147 0.322338i −0.430181 0.902743i \(-0.641550\pi\)
0.814328 + 0.580405i \(0.197106\pi\)
\(338\) 424.941 310.754i 0.0683838 0.0500083i
\(339\) 3447.70 + 4585.34i 0.552370 + 0.734635i
\(340\) −3051.07 + 668.318i −0.486670 + 0.106602i
\(341\) −736.883 + 425.440i −0.117022 + 0.0675626i
\(342\) 7238.69 6086.12i 1.14451 0.962280i
\(343\) 2993.59 + 1728.35i 0.471250 + 0.272076i
\(344\) 470.634 + 185.077i 0.0737642 + 0.0290079i
\(345\) 10463.9 11197.4i 1.63292 1.74738i
\(346\) 1071.75 2427.40i 0.166525 0.377162i
\(347\) 174.334 + 988.695i 0.0269704 + 0.152957i 0.995319 0.0966455i \(-0.0308113\pi\)
−0.968349 + 0.249602i \(0.919700\pi\)
\(348\) −1160.11 + 406.141i −0.178703 + 0.0625616i
\(349\) −2935.39 2463.09i −0.450224 0.377783i 0.389295 0.921113i \(-0.372719\pi\)
−0.839519 + 0.543331i \(0.817163\pi\)
\(350\) 830.826 12435.1i 0.126884 1.89909i
\(351\) 5402.92 3223.11i 0.821615 0.490134i
\(352\) 4909.21 + 1701.13i 0.743358 + 0.257587i
\(353\) −8472.21 + 10096.8i −1.27742 + 1.52237i −0.552573 + 0.833464i \(0.686354\pi\)
−0.724849 + 0.688908i \(0.758090\pi\)
\(354\) −6978.23 842.363i −1.04771 0.126472i
\(355\) 10525.9 1856.00i 1.57368 0.277482i
\(356\) −2612.18 + 4987.13i −0.388892 + 0.742465i
\(357\) 598.307 2579.10i 0.0886997 0.382354i
\(358\) −1725.16 + 7011.73i −0.254685 + 1.03514i
\(359\) −5665.89 + 9813.61i −0.832964 + 1.44274i 0.0627127 + 0.998032i \(0.480025\pi\)
−0.895677 + 0.444705i \(0.853309\pi\)
\(360\) 6616.03 8594.65i 0.968598 1.25827i
\(361\) 4238.50 + 7341.30i 0.617947 + 1.07032i
\(362\) 6013.15 1744.43i 0.873050 0.253274i
\(363\) −318.419 2616.19i −0.0460404 0.378277i
\(364\) −4448.15 7021.30i −0.640511 1.01103i
\(365\) −8495.81 10124.9i −1.21833 1.45195i
\(366\) −606.795 11143.1i −0.0866603 1.59142i
\(367\) 141.233 + 388.035i 0.0200881 + 0.0551915i 0.949331 0.314277i \(-0.101762\pi\)
−0.929243 + 0.369468i \(0.879540\pi\)
\(368\) −2699.94 10284.0i −0.382457 1.45677i
\(369\) −5655.16 + 11532.8i −0.797821 + 1.62703i
\(370\) −8299.17 5560.52i −1.16609 0.781290i
\(371\) 1760.71 9985.51i 0.246393 1.39736i
\(372\) 1152.74 + 435.710i 0.160664 + 0.0607272i
\(373\) 8571.84 + 3119.89i 1.18990 + 0.433088i 0.859689 0.510818i \(-0.170658\pi\)
0.330212 + 0.943907i \(0.392880\pi\)
\(374\) −1774.95 + 192.119i −0.245403 + 0.0265621i
\(375\) −321.030 + 6004.08i −0.0442078 + 0.826798i
\(376\) 10.9624 + 13.7655i 0.00150357 + 0.00188803i
\(377\) 1325.94i 0.181140i
\(378\) 4173.32 + 8192.12i 0.567864 + 1.11470i
\(379\) 14147.1i 1.91738i −0.284459 0.958688i \(-0.591814\pi\)
0.284459 0.958688i \(-0.408186\pi\)
\(380\) 11849.7 + 12997.5i 1.59967 + 1.75462i
\(381\) −5270.80 + 2678.59i −0.708743 + 0.360179i
\(382\) 404.434 + 3736.50i 0.0541692 + 0.500461i
\(383\) 2856.35 + 1039.63i 0.381078 + 0.138701i 0.525454 0.850822i \(-0.323895\pi\)
−0.144376 + 0.989523i \(0.546118\pi\)
\(384\) −2596.14 7062.80i −0.345010 0.938599i
\(385\) 2050.06 11626.5i 0.271379 1.53907i
\(386\) −6007.14 + 8965.76i −0.792112 + 1.18224i
\(387\) 434.967 418.268i 0.0571333 0.0549399i
\(388\) −3502.93 8517.66i −0.458336 1.11448i
\(389\) −1282.59 3523.89i −0.167172 0.459302i 0.827612 0.561300i \(-0.189699\pi\)
−0.994785 + 0.101998i \(0.967476\pi\)
\(390\) 6392.47 + 9799.69i 0.829988 + 1.27238i
\(391\) 2348.48 + 2798.80i 0.303753 + 0.361999i
\(392\) 3852.69 2094.69i 0.496404 0.269892i
\(393\) −10882.7 4633.01i −1.39684 0.594668i
\(394\) −2312.47 7971.22i −0.295687 1.01925i
\(395\) −4764.72 8252.73i −0.606934 1.05124i
\(396\) 4288.37 4477.17i 0.544188 0.568147i
\(397\) 1285.84 2227.14i 0.162555 0.281553i −0.773229 0.634126i \(-0.781360\pi\)
0.935784 + 0.352573i \(0.114693\pi\)
\(398\) −1561.55 384.203i −0.196667 0.0483878i
\(399\) −14262.1 + 4343.86i −1.78947 + 0.545025i
\(400\) 9934.83 + 7031.58i 1.24185 + 0.878947i
\(401\) −2307.30 + 406.840i −0.287335 + 0.0506649i −0.315458 0.948940i \(-0.602158\pi\)
0.0281231 + 0.999604i \(0.491047\pi\)
\(402\) −2431.06 1824.17i −0.301618 0.226321i
\(403\) −854.511 + 1018.37i −0.105623 + 0.125877i
\(404\) 703.511 5241.27i 0.0866361 0.645452i
\(405\) −6027.55 11452.8i −0.739535 1.40518i
\(406\) 1933.39 + 129.176i 0.236336 + 0.0157904i
\(407\) −4374.18 3670.37i −0.532727 0.447011i
\(408\) 1843.37 + 1813.24i 0.223677 + 0.220021i
\(409\) 504.131 + 2859.07i 0.0609479 + 0.345653i 0.999998 + 0.00187302i \(0.000596202\pi\)
−0.939050 + 0.343780i \(0.888293\pi\)
\(410\) −21853.0 9648.54i −2.63230 1.16221i
\(411\) −1453.94 4773.67i −0.174495 0.572915i
\(412\) 4905.47 + 1560.33i 0.586590 + 0.186583i
\(413\) 9596.18 + 5540.36i 1.14334 + 0.660105i
\(414\) −12496.6 2190.83i −1.48352 0.260080i
\(415\) 10337.5 5968.33i 1.22276 0.705961i
\(416\) 8116.43 125.782i 0.956589 0.0148244i
\(417\) 559.079 1313.24i 0.0656552 0.154220i
\(418\) 5934.40 + 8114.99i 0.694404 + 0.949562i
\(419\) −9864.95 + 8277.68i −1.15020 + 0.965134i −0.999724 0.0234798i \(-0.992525\pi\)
−0.150477 + 0.988613i \(0.548081\pi\)
\(420\) −14911.9 + 8366.29i −1.73244 + 0.971984i
\(421\) −1736.72 + 632.114i −0.201051 + 0.0731766i −0.440583 0.897712i \(-0.645228\pi\)
0.239532 + 0.970888i \(0.423006\pi\)
\(422\) −14963.9 + 7355.89i −1.72614 + 0.848529i
\(423\) 20.3848 5.03670i 0.00234312 0.000578943i
\(424\) 7420.28 + 6557.36i 0.849908 + 0.751070i
\(425\) −4118.83 726.261i −0.470100 0.0828914i
\(426\) −6047.66 6458.84i −0.687818 0.734582i
\(427\) −6017.02 + 16531.6i −0.681930 + 1.87359i
\(428\) 137.458 + 3342.18i 0.0155240 + 0.377454i
\(429\) 3029.90 + 5962.10i 0.340991 + 0.670986i
\(430\) 809.704 + 777.086i 0.0908078 + 0.0871499i
\(431\) −754.861 −0.0843628 −0.0421814 0.999110i \(-0.513431\pi\)
−0.0421814 + 0.999110i \(0.513431\pi\)
\(432\) −8951.62 700.038i −0.996956 0.0779643i
\(433\) 1303.22 0.144639 0.0723194 0.997382i \(-0.476960\pi\)
0.0723194 + 0.997382i \(0.476960\pi\)
\(434\) −1401.65 1345.19i −0.155027 0.148782i
\(435\) −2723.79 145.637i −0.300220 0.0160524i
\(436\) 540.594 + 13144.1i 0.0593802 + 1.44378i
\(437\) 7036.64 19333.0i 0.770271 2.11630i
\(438\) −3177.69 + 10470.1i −0.346657 + 1.14220i
\(439\) −11200.2 1974.91i −1.21767 0.214709i −0.472349 0.881411i \(-0.656594\pi\)
−0.745324 + 0.666703i \(0.767705\pi\)
\(440\) 8639.71 + 7634.98i 0.936095 + 0.827235i
\(441\) −353.972 5220.76i −0.0382218 0.563736i
\(442\) −2503.22 + 1230.52i −0.269380 + 0.132421i
\(443\) 7948.45 2893.00i 0.852466 0.310272i 0.121420 0.992601i \(-0.461255\pi\)
0.731045 + 0.682329i \(0.239033\pi\)
\(444\) −101.824 + 8269.34i −0.0108837 + 0.883887i
\(445\) −9570.57 + 8030.66i −1.01952 + 0.855483i
\(446\) −3643.65 4982.51i −0.386843 0.528988i
\(447\) 3851.36 468.752i 0.407523 0.0496000i
\(448\) −607.312 + 11847.0i −0.0640464 + 1.24937i
\(449\) 3177.81 1834.71i 0.334009 0.192840i −0.323610 0.946190i \(-0.604897\pi\)
0.657620 + 0.753350i \(0.271563\pi\)
\(450\) 12570.6 7274.10i 1.31685 0.762010i
\(451\) −11825.0 6827.17i −1.23463 0.712814i
\(452\) 8416.98 + 2677.28i 0.875889 + 0.278603i
\(453\) 7600.11 + 1763.10i 0.788266 + 0.182864i
\(454\) 7514.25 + 3317.69i 0.776787 + 0.342967i
\(455\) −3202.95 18164.8i −0.330014 1.87160i
\(456\) 3652.49 14094.8i 0.375096 1.44748i
\(457\) 7757.01 + 6508.90i 0.793999 + 0.666244i 0.946732 0.322023i \(-0.104363\pi\)
−0.152733 + 0.988268i \(0.548807\pi\)
\(458\) 4198.29 + 280.501i 0.428326 + 0.0286178i
\(459\) 2883.93 1096.55i 0.293269 0.111509i
\(460\) 3138.95 23385.6i 0.318161 2.37035i
\(461\) 9631.21 11478.0i 0.973038 1.15962i −0.0141246 0.999900i \(-0.504496\pi\)
0.987162 0.159721i \(-0.0510594\pi\)
\(462\) −8988.65 + 3837.13i −0.905172 + 0.386405i
\(463\) −13545.5 + 2388.43i −1.35963 + 0.239740i −0.805455 0.592657i \(-0.798079\pi\)
−0.554179 + 0.832397i \(0.686968\pi\)
\(464\) −1093.26 + 1544.65i −0.109382 + 0.154545i
\(465\) 1998.10 + 1867.21i 0.199268 + 0.186215i
\(466\) 11022.3 + 2711.90i 1.09570 + 0.269585i
\(467\) −2392.86 + 4144.55i −0.237106 + 0.410679i −0.959883 0.280402i \(-0.909532\pi\)
0.722777 + 0.691081i \(0.242865\pi\)
\(468\) 3903.51 8864.65i 0.385555 0.875574i
\(469\) 2395.70 + 4149.47i 0.235870 + 0.408539i
\(470\) 10.8802 + 37.5048i 0.00106780 + 0.00368078i
\(471\) 14275.2 10733.5i 1.39654 1.05005i
\(472\) −9507.33 + 5169.09i −0.927140 + 0.504082i
\(473\) 412.335 + 491.402i 0.0400829 + 0.0477689i
\(474\) −3567.12 + 7036.34i −0.345661 + 0.681835i
\(475\) 8055.08 + 22131.1i 0.778089 + 2.13778i
\(476\) −1550.38 3769.88i −0.149289 0.363009i
\(477\) 10804.7 4783.19i 1.03713 0.459134i
\(478\) 5834.18 8707.62i 0.558262 0.833216i
\(479\) 165.899 940.860i 0.0158249 0.0897474i −0.975872 0.218342i \(-0.929935\pi\)
0.991697 + 0.128594i \(0.0410464\pi\)
\(480\) 633.098 16686.8i 0.0602018 1.58676i
\(481\) −8383.21 3051.24i −0.794681 0.289240i
\(482\) 1357.91 + 12545.5i 0.128321 + 1.18554i
\(483\) 16762.6 + 10911.0i 1.57914 + 1.02788i
\(484\) −2733.71 2998.51i −0.256735 0.281603i
\(485\) 20438.1i 1.91350i
\(486\) −5214.80 + 9359.33i −0.486724 + 0.873556i
\(487\) 5821.67i 0.541694i 0.962622 + 0.270847i \(0.0873038\pi\)
−0.962622 + 0.270847i \(0.912696\pi\)
\(488\) −10703.3 13440.1i −0.992859 1.24673i
\(489\) −1398.38 910.225i −0.129319 0.0841754i
\(490\) 9675.20 1047.23i 0.892002 0.0965491i
\(491\) 1333.95 + 485.516i 0.122607 + 0.0446254i 0.402595 0.915378i \(-0.368108\pi\)
−0.279988 + 0.960004i \(0.590330\pi\)
\(492\) 3193.97 + 19516.1i 0.292673 + 1.78832i
\(493\) 112.918 640.391i 0.0103156 0.0585025i
\(494\) 13048.9 + 8742.85i 1.18845 + 0.796274i
\(495\) 12580.3 5569.24i 1.14231 0.505695i
\(496\) 1835.12 481.786i 0.166127 0.0436146i
\(497\) 4770.77 + 13107.6i 0.430580 + 1.18301i
\(498\) −8813.79 4468.21i −0.793083 0.402059i
\(499\) −6059.87 7221.88i −0.543642 0.647887i 0.422358 0.906429i \(-0.361202\pi\)
−0.966000 + 0.258542i \(0.916758\pi\)
\(500\) 4954.07 + 7819.90i 0.443106 + 0.699433i
\(501\) −1651.69 + 1241.90i −0.147290 + 0.110747i
\(502\) −6691.91 + 1941.34i −0.594969 + 0.172602i
\(503\) 4360.59 + 7552.76i 0.386539 + 0.669504i 0.991981 0.126384i \(-0.0403373\pi\)
−0.605443 + 0.795889i \(0.707004\pi\)
\(504\) 12545.4 + 6555.40i 1.10877 + 0.579367i
\(505\) 5867.76 10163.3i 0.517053 0.895562i
\(506\) 3222.21 13096.4i 0.283093 1.15060i
\(507\) −706.622 660.335i −0.0618978 0.0578432i
\(508\) −4223.56 + 8063.53i −0.368878 + 0.704255i
\(509\) 9041.46 1594.25i 0.787340 0.138829i 0.234499 0.972116i \(-0.424655\pi\)
0.552840 + 0.833287i \(0.313544\pi\)
\(510\) 2252.82 + 5277.34i 0.195601 + 0.458205i
\(511\) 11087.5 13213.6i 0.959850 1.14390i
\(512\) −9558.92 6545.59i −0.825095 0.564994i
\(513\) −13467.4 10976.7i −1.15907 0.944700i
\(514\) −353.346 + 5288.58i −0.0303219 + 0.453831i
\(515\) 8750.86 + 7342.85i 0.748755 + 0.628280i
\(516\) 172.583 912.892i 0.0147239 0.0778834i
\(517\) 3.87606 + 21.9822i 0.000329727 + 0.00186997i
\(518\) 5265.78 11926.5i 0.446651 1.01162i
\(519\) −4748.64 1101.60i −0.401623 0.0931696i
\(520\) 16764.1 + 6592.52i 1.41376 + 0.555964i
\(521\) −1162.93 671.415i −0.0977902 0.0564592i 0.450307 0.892874i \(-0.351314\pi\)
−0.548098 + 0.836414i \(0.684648\pi\)
\(522\) 1130.97 + 1954.45i 0.0948298 + 0.163878i
\(523\) −17876.5 + 10321.0i −1.49462 + 0.862920i −0.999981 0.00617839i \(-0.998033\pi\)
−0.494640 + 0.869098i \(0.664700\pi\)
\(524\) −17788.4 + 3896.43i −1.48299 + 0.324840i
\(525\) −22727.9 + 2766.23i −1.88938 + 0.229958i
\(526\) 15230.6 11138.0i 1.26252 0.923266i
\(527\) −499.427 + 419.069i −0.0412816 + 0.0346394i
\(528\) 1386.16 9443.73i 0.114252 0.778382i
\(529\) −14502.7 + 5278.54i −1.19197 + 0.433841i
\(530\) 9694.48 + 19721.3i 0.794531 + 1.61630i
\(531\) 873.500 + 12883.3i 0.0713873 + 1.05290i
\(532\) −14019.4 + 18175.1i −1.14251 + 1.48118i
\(533\) −21009.0 3704.44i −1.70731 0.301046i
\(534\) 9896.89 + 3003.71i 0.802023 + 0.243414i
\(535\) −2538.85 + 6975.43i −0.205166 + 0.563690i
\(536\) −4677.85 119.821i −0.376963 0.00965577i
\(537\) 13246.6 + 708.279i 1.06449 + 0.0569171i
\(538\) −437.964 + 456.347i −0.0350966 + 0.0365697i
\(539\) 5562.58 0.444522
\(540\) −17781.2 8992.35i −1.41700 0.716609i
\(541\) 12023.3 0.955494 0.477747 0.878498i \(-0.341454\pi\)
0.477747 + 0.878498i \(0.341454\pi\)
\(542\) 6909.09 7199.09i 0.547548 0.570530i
\(543\) −5211.10 10254.2i −0.411841 0.810402i
\(544\) 3930.70 + 630.451i 0.309793 + 0.0496882i
\(545\) −9984.80 + 27433.0i −0.784774 + 2.15615i
\(546\) −11146.2 + 10436.6i −0.873651 + 0.818033i
\(547\) 8061.33 + 1421.43i 0.630123 + 0.111108i 0.479584 0.877496i \(-0.340788\pi\)
0.150540 + 0.988604i \(0.451899\pi\)
\(548\) −6083.40 4692.44i −0.474215 0.365787i
\(549\) −19902.9 + 4917.65i −1.54724 + 0.382296i
\(550\) 6810.95 + 13855.4i 0.528037 + 1.07417i
\(551\) −3440.92 + 1252.39i −0.266040 + 0.0968307i
\(552\) −17634.5 + 8400.70i −1.35974 + 0.647749i
\(553\) 9526.89 7994.01i 0.732594 0.614719i
\(554\) −247.892 + 181.281i −0.0190107 + 0.0139023i
\(555\) −7188.71 + 16885.9i −0.549809 + 1.29147i
\(556\) −470.193 2146.57i −0.0358645 0.163732i
\(557\) 4755.80 2745.76i 0.361777 0.208872i −0.308083 0.951359i \(-0.599687\pi\)
0.669860 + 0.742487i \(0.266354\pi\)
\(558\) 390.938 2229.94i 0.0296590 0.169177i
\(559\) 867.952 + 501.112i 0.0656717 + 0.0379156i
\(560\) −11245.9 + 23801.9i −0.848617 + 1.79610i
\(561\) 955.614 + 3137.54i 0.0719181 + 0.236127i
\(562\) 1649.66 3736.32i 0.123820 0.280439i
\(563\) −3623.35 20549.1i −0.271237 1.53826i −0.750668 0.660680i \(-0.770268\pi\)
0.479431 0.877579i \(1.65916\pi\)
\(564\) 21.0835 24.5071i 0.00157407 0.00182967i
\(565\) 15015.1 + 12599.1i 1.11803 + 0.938141i
\(566\) −182.916 + 2737.73i −0.0135840 + 0.203313i
\(567\) 13353.6 10342.3i 0.989061 0.766021i
\(568\) −13350.8 2708.31i −0.986244 0.200067i
\(569\) −11832.7 + 14101.7i −0.871798 + 1.03897i 0.127094 + 0.991891i \(0.459435\pi\)
−0.998891 + 0.0470772i \(0.985009\pi\)
\(570\) 19393.0 25845.0i 1.42506 1.89917i
\(571\) −10117.0 + 1783.89i −0.741474 + 0.130742i −0.531611 0.846989i \(-0.678413\pi\)
−0.209863 + 0.977731i \(0.567302\pi\)
\(572\) 9121.12 + 4777.51i 0.666737 + 0.349226i
\(573\) 6604.92 2011.69i 0.481544 0.146666i
\(574\) 7448.26 30272.7i 0.541610 2.20132i
\(575\) 15797.6 27362.2i 1.14575 1.98449i
\(576\) −11856.4 + 7108.34i −0.857669 + 0.514203i
\(577\) −5585.92 9675.09i −0.403024 0.698058i 0.591065 0.806624i \(-0.298708\pi\)
−0.994089 + 0.108566i \(0.965374\pi\)
\(578\) 12032.0 3490.53i 0.865860 0.251188i
\(579\) 18242.1 + 7766.12i 1.30936 + 0.557425i
\(580\) −3547.55 + 2247.45i −0.253972 + 0.160897i
\(581\) 10013.4 + 11933.5i 0.715017 + 0.852124i
\(582\) −14171.1 + 9243.99i −1.00930 + 0.658378i
\(583\) 4296.08 + 11803.4i 0.305189 + 0.838501i
\(584\) 5354.40 + 15972.3i 0.379395 + 1.13174i
\(585\) 15493.7 14898.8i 1.09502 1.05298i
\(586\) 19343.2 + 12960.1i 1.36359 + 0.913615i
\(587\) 102.620 581.988i 0.00721566 0.0409220i −0.980987 0.194072i \(-0.937831\pi\)
0.988203 + 0.153150i \(0.0489417\pi\)
\(588\) −5102.13 6234.80i −0.357837 0.437277i
\(589\) 3449.84 + 1255.64i 0.241339 + 0.0878400i
\(590\) −23875.6 + 2584.26i −1.66600 + 0.180326i
\(591\) −13593.2 + 6907.99i −0.946110 + 0.480807i
\(592\) 7250.20 + 10466.6i 0.503347 + 0.726647i
\(593\) 5652.31i 0.391421i −0.980662 0.195710i \(-0.937299\pi\)
0.980662 0.195710i \(-0.0627012\pi\)
\(594\) −9551.49 6203.83i −0.659769 0.428529i
\(595\) 9045.81i 0.623264i
\(596\) 4414.17 4024.36i 0.303375 0.276584i
\(597\) −157.738 + 2950.10i −0.0108137 + 0.202244i
\(598\) −2267.51 20949.1i −0.155059 1.43257i
\(599\) 13082.7 + 4761.71i 0.892394 + 0.324805i 0.747201 0.664598i \(-0.231397\pi\)
0.145193 + 0.989403i \(0.453620\pi\)
\(600\) 9282.60 20342.5i 0.631601 1.38413i
\(601\) −1926.83 + 10927.6i −0.130777 + 0.741676i 0.846930 + 0.531704i \(0.178448\pi\)
−0.977708 + 0.209971i \(0.932663\pi\)
\(602\) −815.240 + 1216.76i −0.0551939 + 0.0823778i
\(603\) −2458.32 + 5013.35i −0.166021 + 0.338573i
\(604\) 11109.1 4568.67i 0.748383 0.307776i
\(605\) −3079.72 8461.46i −0.206956 0.568607i
\(606\) −9700.80 + 528.256i −0.650277 + 0.0354108i
\(607\) −13538.5 16134.5i −0.905288 1.07888i −0.996545 0.0830529i \(-0.973533\pi\)
0.0912571 0.995827i \(1.52909\pi\)
\(608\) −7992.62 20943.9i −0.533131 1.39702i
\(609\) −430.090 3533.70i −0.0286176 0.235128i
\(610\) −10623.1 36618.3i −0.705107 2.43054i
\(611\) 17.4370 + 30.2018i 0.00115454 + 0.00199973i
\(612\) 2640.19 3948.93i 0.174385 0.260827i
\(613\) −4419.59 + 7654.96i −0.291200 + 0.504373i −0.974094 0.226145i \(-0.927388\pi\)
0.682894 + 0.730518i \(0.260721\pi\)
\(614\) −6371.55 1567.65i −0.418786 0.103038i
\(615\) −9917.32 + 42750.2i −0.650252 + 2.80302i
\(616\) −7854.78 + 12834.3i −0.513763 + 0.839460i
\(617\) 324.080 57.1440i 0.0211458 0.00372857i −0.163065 0.986615i \(-0.552138\pi\)
0.184211 + 0.982887i \(0.441027\pi\)
\(618\) 1133.33 9388.67i 0.0737693 0.611113i
\(619\) 6749.35 8043.57i 0.438254 0.522291i −0.501030 0.865430i \(-0.667046\pi\)
0.939285 + 0.343138i \(0.111490\pi\)
\(620\) 4173.00 + 560.123i 0.270309 + 0.0362824i
\(621\) 332.814 + 23305.5i 0.0215062 + 1.50599i
\(622\) −9200.66 614.725i −0.593108 0.0396274i
\(623\) −12490.2 10480.5i −0.803222 0.673983i
\(624\) −3011.26 14605.4i −0.193184 0.936996i
\(625\) −560.779 3180.34i −0.0358898 0.203541i
\(626\) −10953.6 4836.23i −0.699350 0.308777i
\(627\) 12610.3 13494.2i 0.803198 0.859499i
\(628\) 8335.01 26204.1i 0.529622 1.66506i
\(629\) −3788.99 2187.57i −0.240186 0.138671i
\(630\) 20214.9 + 24043.1i 1.27838 + 1.52048i
\(631\) −9537.83 + 5506.67i −0.601736 + 0.347412i −0.769724 0.638377i \(-0.779606\pi\)
0.167988 + 0.985789i \(0.446273\pi\)
\(632\) 1802.11 + 12011.3i 0.113424 + 0.755987i
\(633\) 18409.2 + 24483.6i 1.15592 + 1.53734i
\(634\) −15063.4 20598.4i −0.943603 1.29033i
\(635\) −15474.3 + 12984.5i −0.967056 + 0.811456i
\(636\) 9289.33 15641.6i 0.579160 0.975204i
\(637\) 8166.65 2972.42i 0.507966 0.184885i
\(638\) −2154.22 + 1058.96i −0.133677 + 0.0657125i
\(639\) −9582.37 + 13130.5i −0.593228 + 0.812886i
\(640\) −14093.7 21502.2i −0.870473 1.32805i
\(641\) 21995.5 + 3878.41i 1.35534 + 0.238983i 0.803667 0.595080i \(-0.202879\pi\)
0.551671 + 0.834062i \(0.313991\pi\)
\(642\) 5984.83 1394.58i 0.367917 0.0857317i
\(643\) 6232.57 17123.8i 0.382253 1.05023i −0.588153 0.808750i \(-0.700145\pi\)
0.970406 0.241481i \(-0.0776331\pi\)
\(644\) 30767.3 1265.40i 1.88261 0.0774282i
\(645\) 1124.73 1727.93i 0.0686608 0.105484i
\(646\) 5557.65 + 5333.78i 0.338488 + 0.324852i
\(647\) −19246.9 −1.16951 −0.584756 0.811209i \(-0.698810\pi\)
−0.584756 + 0.811209i \(0.698810\pi\)
\(648\) 1807.32 + 16396.1i 0.109565 + 0.993980i
\(649\) −13726.8 −0.830239
\(650\) 17403.2 + 16702.2i 1.05017 + 1.00787i
\(651\) −1946.99 + 2991.17i −0.117217 + 0.180082i
\(652\) −2566.69 + 105.563i −0.154171 + 0.00634077i
\(653\) 1448.40 3979.43i 0.0867995 0.238480i −0.888697 0.458495i \(-0.848389\pi\)
0.975496 + 0.220016i \(0.0706108\pi\)
\(654\) 23537.2 5484.62i 1.40730 0.327929i
\(655\) −39797.2 7017.32i −2.37405 0.418610i
\(656\) 21419.9 + 21637.7i 1.27486 + 1.28782i
\(657\) 19986.6 + 2143.44i 1.18684 + 0.127281i
\(658\) −45.7366 + 22.4830i −0.00270973 + 0.00133203i
\(659\) 14521.0 5285.20i 0.858355 0.312416i 0.124913 0.992168i \(-0.460135\pi\)
0.733442 + 0.679752i \(0.237913\pi\)
\(660\) 10815.9 18212.1i 0.637892 1.07410i
\(661\) −15284.4 + 12825.1i −0.899386 + 0.754675i −0.970070 0.242824i \(-0.921926\pi\)
0.0706839 + 0.997499i \(0.477482\pi\)
\(662\) 2828.65 + 3868.03i 0.166070 + 0.227093i
\(663\) 3079.55 + 4095.71i 0.180392 + 0.239916i
\(664\) −15045.5 + 2257.34i −0.879333 + 0.131931i
\(665\) −44113.7 + 25469.1i −2.57241 + 1.48518i
\(666\) 14959.5 2652.93i 0.870373 0.154353i
\(667\) 4254.23 + 2456.18i 0.246963 + 0.142584i
\(668\) −964.388 + 3031.90i −0.0558582 + 0.175610i
\(669\) −7742.55 + 8285.28i −0.447450 + 0.478815i
\(670\) −9499.57 4194.25i −0.547762 0.241848i
\(671\) −3784.44 21462.6i −0.217730 1.23481i
\(672\) 21589.9 2967.90i 1.23936 0.170371i
\(673\) −21569.8 18099.2i −1.23544 1.03666i −0.997866 0.0652920i \(-0.979202\pi\)
−0.237578 0.971369i \(-0.576353\pi\)
\(674\) −8755.21 584.963i −0.500353 0.0334302i
\(675\) −17440.5 20192.1i −0.994498 1.15140i
\(676\) −1475.77 198.086i −0.0839652 0.0112703i
\(677\) 12507.7 14906.1i 0.710061 0.846218i −0.283564 0.958953i \(-0.591517\pi\)
0.993625 + 0.112735i \(0.0359612\pi\)
\(678\) 1944.62 16109.4i 0.110151 0.912506i
\(679\) 26267.7 4631.70i 1.48463 0.261780i
\(680\) 7535.15 + 4611.63i 0.424941 + 0.260070i
\(681\) 3410.12 14699.9i 0.191888 0.827166i
\(682\) 2336.96 + 574.982i 0.131212 + 0.0322833i
\(683\) −2018.09 + 3495.43i −0.113060 + 0.195826i −0.917003 0.398881i \(-0.869399\pi\)
0.803943 + 0.594707i \(0.202732\pi\)
\(684\) −26691.4 1756.97i −1.49206 0.0982157i
\(685\) −8524.77 14765.3i −0.475496 0.823583i
\(686\) −2724.03 9389.89i −0.151609 0.522606i
\(687\) −933.927 7673.33i −0.0518654 0.426136i
\(688\) −597.944 1299.41i −0.0331343 0.0720051i
\(689\) 12614.5 + 15033.4i 0.697495 + 0.831243i
\(690\) −43283.3 + 2356.99i −2.38807 + 0.130042i
\(691\) 701.996 + 1928.72i 0.0386472 + 0.106182i 0.957515 0.288383i \(-0.0931175\pi\)
−0.918868 + 0.394565i \(0.870895\pi\)
\(692\) −6941.10 + 2854.56i −0.381302 + 0.156812i
\(693\) 10008.7 + 14906.5i 0.548629 + 0.817100i
\(694\) 1580.58 2359.04i 0.0864522 0.129031i
\(695\) 846.800 4802.44i 0.0462172 0.262111i
\(696\) 3162.83 + 1443.25i 0.172251 + 0.0786007i
\(697\) −9831.21 3578.27i −0.534266 0.194457i
\(698\) 1166.30 + 10775.3i 0.0632452 + 0.584312i
\(699\) 1113.40 20823.3i 0.0602468 1.12677i
\(700\) −26049.2 + 23748.8i −1.40653 + 1.28232i
\(701\) 11987.1i 0.645859i 0.946423 + 0.322929i \(0.104668\pi\)
−0.946423 + 0.322929i \(0.895332\pi\)
\(702\) −17338.0 4004.16i −0.932167 0.215281i
\(703\) 24637.0i 1.32177i
\(704\) −6686.50 13086.0i −0.357964 0.700566i
\(705\) 63.9565 32.5023i 0.00341665 0.00173632i
\(706\) 37063.4 4011.69i 1.97578 0.213855i
\(707\) 14391.9 + 5238.22i 0.765577 + 0.278647i
\(708\) 12590.6 + 15385.7i 0.668337 + 0.816708i
\(709\) −2921.57 + 16569.0i −0.154756 + 0.877662i 0.804253 + 0.594287i \(0.202565\pi\)
−0.959009 + 0.283376i \(0.908546\pi\)
\(710\) −25114.9 16827.2i −1.32753 0.889455i
\(711\) 13922.9 + 4024.23i 0.734387 + 0.212265i
\(712\) 15097.8 5061.24i 0.794683 0.266402i
\(713\) −1684.49 4628.09i −0.0884775 0.243090i
\(714\) −6272.06 + 4091.35i −0.328748 + 0.214447i
\(715\) 14687.5 + 17503.9i 0.768227 + 0.915537i
\(716\) 17252.8 10930.0i 0.900513 0.570494i
\(717\) −17716.9 7542.51i −0.922804 0.392860i
\(718\) 30782.0 8929.93i 1.59996 0.464153i
\(719\) −2347.98 4066.83i −0.121787 0.210942i 0.798685 0.601749i \(-0.205529\pi\)
−0.920473 + 0.390807i \(0.872196\pi\)
\(720\) −30333.6 + 4581.60i −1.57009 + 0.237147i
\(721\) −7454.13 + 12910.9i −0.385029 + 0.666891i
\(722\) 5728.33 23282.2i 0.295272 1.20010i
\(723\) 22176.3 6754.34i 1.14073 0.347436i
\(724\) −15687.3 8216.78i −0.805269 0.421788i
\(725\) −5537.91 + 976.484i −0.283687 + 0.0500216i
\(726\) −4473.96 + 5962.43i −0.228711 + 0.304802i
\(727\) 6666.61 7944.95i 0.340097 0.405312i −0.568703 0.822543i \(-0.692555\pi\)
0.908801 + 0.417230i \(0.136999\pi\)
\(728\) −4673.81 + 23039.8i −0.237943 + 1.17296i
\(729\) 18680.7 + 6201.08i 0.949076 + 0.315048i
\(730\) −2492.17 + 37300.5i −0.126355 + 1.89117i
\(731\) 376.519 + 315.937i 0.0190507 + 0.0159854i
\(732\) −20585.2 + 23927.9i −1.03941 + 1.20820i
\(733\) −2774.28 15733.7i −0.139796 0.792822i −0.971399 0.237452i \(-0.923688\pi\)
0.831603 0.555370i \(-0.187423\pi\)
\(734\) 471.746 1068.46i 0.0237227 0.0537296i
\(735\) −5209.01 17102.6i −0.261411 0.858285i
\(736\) −14631.3 + 26274.2i −0.732770 + 1.31587i
\(737\) −5140.37 2967.80i −0.256917 0.148331i
\(738\) 34127.1 12459.3i 1.70222 0.621452i
\(739\) 13868.6 8007.03i 0.690344 0.398570i −0.113397 0.993550i \(-0.536173\pi\)
0.803741 + 0.594979i \(0.202840\pi\)
\(740\) 6045.81 + 27600.9i 0.300336 + 1.37112i
\(741\) 11302.9 26549.8i 0.560353 1.31624i
\(742\) −23149.4 + 16928.9i −1.14534 + 0.837574i
\(743\) 11816.4 9915.12i 0.583447 0.489570i −0.302630 0.953108i \(-0.597865\pi\)
0.886077 + 0.463538i \(0.153420\pi\)
\(744\) −1499.05 3146.76i −0.0738679 0.155062i
\(745\) 12456.3 4533.72i 0.612569 0.222957i
\(746\) −11382.1 23154.4i −0.558619 1.13639i
\(747\) −5040.79 + 17440.0i −0.246898 + 0.854210i
\(748\) 3998.37 + 3084.15i 0.195448 + 0.150759i
\(749\) −9540.40 1682.23i −0.465419 0.0820659i
\(750\) 12414.0 11623.7i 0.604391 0.565915i
\(751\) −10582.5 + 29075.2i −0.514197 + 1.41274i 0.362628 + 0.931934i \(0.381880\pi\)
−0.876825 + 0.480810i \(0.840343\pi\)
\(752\) 4.58862 49.5606i 0.000222513 0.00240331i
\(753\) 5799.33 + 11411.6i 0.280663 + 0.552276i
\(754\) −2596.83 + 2705.83i −0.125426 + 0.130690i