Properties

Label 63.4.f.b.22.8
Level $63$
Weight $4$
Character 63.22
Analytic conductor $3.717$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.f (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 58 x^{14} - 129 x^{13} + 2107 x^{12} - 4455 x^{11} + 42901 x^{10} - 76404 x^{9} + 599392 x^{8} - 1089732 x^{7} + 4808401 x^{6} - 7939134 x^{5} + 26225236 x^{4} - 39450864 x^{3} + 62254768 x^{2} - 39660672 x + 21307456\)
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{7} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 22.8
Root \(-2.47591 - 4.28840i\) of defining polynomial
Character \(\chi\) \(=\) 63.22
Dual form 63.4.f.b.43.8

$q$-expansion

\(f(q)\) \(=\) \(q+(2.47591 + 4.28840i) q^{2} +(-2.38464 - 4.61665i) q^{3} +(-8.26023 + 14.3071i) q^{4} +(-8.06998 + 13.9776i) q^{5} +(13.8939 - 21.6567i) q^{6} +(3.50000 + 6.06218i) q^{7} -42.1917 q^{8} +(-15.6270 + 22.0181i) q^{9} +O(q^{10})\) \(q+(2.47591 + 4.28840i) q^{2} +(-2.38464 - 4.61665i) q^{3} +(-8.26023 + 14.3071i) q^{4} +(-8.06998 + 13.9776i) q^{5} +(13.8939 - 21.6567i) q^{6} +(3.50000 + 6.06218i) q^{7} -42.1917 q^{8} +(-15.6270 + 22.0181i) q^{9} -79.9221 q^{10} +(15.3185 + 26.5325i) q^{11} +(85.7487 + 4.01718i) q^{12} +(39.0059 - 67.5603i) q^{13} +(-17.3313 + 30.0188i) q^{14} +(83.7738 + 3.92466i) q^{15} +(-38.3809 - 66.4776i) q^{16} +106.992 q^{17} +(-133.113 - 12.4997i) q^{18} -49.5081 q^{19} +(-133.320 - 230.917i) q^{20} +(19.6407 - 30.6144i) q^{21} +(-75.8546 + 131.384i) q^{22} +(-19.5071 + 33.7873i) q^{23} +(100.612 + 194.784i) q^{24} +(-67.7492 - 117.345i) q^{25} +386.300 q^{26} +(138.915 + 19.6388i) q^{27} -115.643 q^{28} +(-2.87388 - 4.97771i) q^{29} +(190.586 + 368.972i) q^{30} +(-92.2467 + 159.776i) q^{31} +(21.2881 - 36.8720i) q^{32} +(85.9620 - 133.991i) q^{33} +(264.901 + 458.822i) q^{34} -112.980 q^{35} +(-185.934 - 405.452i) q^{36} +91.0901 q^{37} +(-122.578 - 212.310i) q^{38} +(-404.917 - 18.9697i) q^{39} +(340.486 - 589.739i) q^{40} +(41.4346 - 71.7668i) q^{41} +(179.915 + 8.42872i) q^{42} +(45.6371 + 79.0458i) q^{43} -506.139 q^{44} +(-181.652 - 396.113i) q^{45} -193.191 q^{46} +(-118.982 - 206.083i) q^{47} +(-215.379 + 335.716i) q^{48} +(-24.5000 + 42.4352i) q^{49} +(335.481 - 581.070i) q^{50} +(-255.137 - 493.943i) q^{51} +(644.396 + 1116.13i) q^{52} +497.669 q^{53} +(259.721 + 644.345i) q^{54} -494.481 q^{55} +(-147.671 - 255.773i) q^{56} +(118.059 + 228.562i) q^{57} +(14.2309 - 24.6487i) q^{58} +(2.10297 - 3.64245i) q^{59} +(-748.141 + 1166.14i) q^{60} +(-313.196 - 542.471i) q^{61} -913.577 q^{62} +(-188.172 - 17.6699i) q^{63} -403.264 q^{64} +(629.554 + 1090.42i) q^{65} +(787.440 + 36.8902i) q^{66} +(339.310 - 587.702i) q^{67} +(-883.775 + 1530.74i) q^{68} +(202.502 + 9.48685i) q^{69} +(-279.727 - 484.502i) q^{70} +747.071 q^{71} +(659.327 - 928.982i) q^{72} -23.2628 q^{73} +(225.531 + 390.630i) q^{74} +(-380.183 + 592.600i) q^{75} +(408.948 - 708.319i) q^{76} +(-107.230 + 185.728i) q^{77} +(-921.188 - 1783.41i) q^{78} +(-77.0203 - 133.403i) q^{79} +1238.93 q^{80} +(-240.597 - 688.153i) q^{81} +410.353 q^{82} +(-141.098 - 244.389i) q^{83} +(275.768 + 533.884i) q^{84} +(-863.420 + 1495.49i) q^{85} +(-225.986 + 391.420i) q^{86} +(-16.1272 + 25.1378i) q^{87} +(-646.315 - 1119.45i) q^{88} +111.091 q^{89} +(1248.94 - 1759.74i) q^{90} +546.083 q^{91} +(-322.266 - 558.181i) q^{92} +(957.605 + 44.8622i) q^{93} +(589.177 - 1020.48i) q^{94} +(399.530 - 692.006i) q^{95} +(-220.990 - 10.3530i) q^{96} +(-555.045 - 961.367i) q^{97} -242.639 q^{98} +(-823.578 - 77.3362i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} + 2q^{3} - 43q^{4} - 30q^{5} + 19q^{6} + 56q^{7} + 12q^{8} - 124q^{9} + O(q^{10}) \) \( 16q - 3q^{2} + 2q^{3} - 43q^{4} - 30q^{5} + 19q^{6} + 56q^{7} + 12q^{8} - 124q^{9} - 28q^{10} - 24q^{11} + 268q^{12} - 68q^{13} + 21q^{14} + 56q^{15} - 103q^{16} + 336q^{17} - 479q^{18} + 352q^{19} - 330q^{20} + 70q^{21} - 151q^{22} - 228q^{23} - 195q^{24} - 244q^{25} + 1590q^{26} + 272q^{27} - 602q^{28} - 618q^{29} + 1030q^{30} - 72q^{31} - 786q^{32} - 700q^{33} + 261q^{34} - 420q^{35} + 727q^{36} + 420q^{37} - 1032q^{38} - 22q^{39} + 375q^{40} - 420q^{41} - 175q^{42} + 2q^{43} + 774q^{44} + 1406q^{45} + 804q^{46} - 570q^{47} + 1864q^{48} - 392q^{49} - 1110q^{50} - 2940q^{51} + 431q^{52} + 1056q^{53} + 2269q^{54} - 1676q^{55} + 42q^{56} + 122q^{57} - 37q^{58} + 150q^{59} - 6350q^{60} - 578q^{61} + 2340q^{62} - 350q^{63} - 224q^{64} + 366q^{65} + 5812q^{66} + 898q^{67} - 2526q^{68} - 2166q^{69} - 98q^{70} + 1764q^{71} + 1350q^{72} + 1944q^{73} + 222q^{74} - 2096q^{75} - 1423q^{76} + 168q^{77} - 5558q^{78} + 158q^{79} + 4950q^{80} + 476q^{81} - 422q^{82} - 2958q^{83} + 1715q^{84} + 774q^{85} + 114q^{86} + 44q^{87} - 1317q^{88} + 8760q^{89} - 3659q^{90} - 952q^{91} - 4629q^{92} + 3954q^{93} + 3234q^{94} - 930q^{95} - 5923q^{96} + 60q^{97} + 294q^{98} + 1214q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.47591 + 4.28840i 0.875365 + 1.51618i 0.856373 + 0.516357i \(0.172712\pi\)
0.0189918 + 0.999820i \(0.493954\pi\)
\(3\) −2.38464 4.61665i −0.458925 0.888475i
\(4\) −8.26023 + 14.3071i −1.03253 + 1.78839i
\(5\) −8.06998 + 13.9776i −0.721801 + 1.25020i 0.238476 + 0.971148i \(0.423352\pi\)
−0.960277 + 0.279048i \(0.909981\pi\)
\(6\) 13.8939 21.6567i 0.945359 1.47355i
\(7\) 3.50000 + 6.06218i 0.188982 + 0.327327i
\(8\) −42.1917 −1.86463
\(9\) −15.6270 + 22.0181i −0.578776 + 0.815487i
\(10\) −79.9221 −2.52736
\(11\) 15.3185 + 26.5325i 0.419883 + 0.727259i 0.995927 0.0901595i \(-0.0287377\pi\)
−0.576044 + 0.817419i \(0.695404\pi\)
\(12\) 85.7487 + 4.01718i 2.06279 + 0.0966383i
\(13\) 39.0059 67.5603i 0.832177 1.44137i −0.0641315 0.997941i \(-0.520428\pi\)
0.896308 0.443431i \(-0.146239\pi\)
\(14\) −17.3313 + 30.0188i −0.330857 + 0.573061i
\(15\) 83.7738 + 3.92466i 1.44202 + 0.0675562i
\(16\) −38.3809 66.4776i −0.599701 1.03871i
\(17\) 106.992 1.52643 0.763214 0.646146i \(-0.223620\pi\)
0.763214 + 0.646146i \(0.223620\pi\)
\(18\) −133.113 12.4997i −1.74306 0.163678i
\(19\) −49.5081 −0.597787 −0.298893 0.954287i \(-0.596617\pi\)
−0.298893 + 0.954287i \(0.596617\pi\)
\(20\) −133.320 230.917i −1.49056 2.58173i
\(21\) 19.6407 30.6144i 0.204093 0.318124i
\(22\) −75.8546 + 131.384i −0.735102 + 1.27323i
\(23\) −19.5071 + 33.7873i −0.176848 + 0.306310i −0.940799 0.338964i \(-0.889924\pi\)
0.763951 + 0.645274i \(0.223257\pi\)
\(24\) 100.612 + 194.784i 0.855723 + 1.65667i
\(25\) −67.7492 117.345i −0.541993 0.938760i
\(26\) 386.300 2.91383
\(27\) 138.915 + 19.6388i 0.990154 + 0.139981i
\(28\) −115.643 −0.780518
\(29\) −2.87388 4.97771i −0.0184023 0.0318737i 0.856678 0.515852i \(-0.172525\pi\)
−0.875080 + 0.483978i \(0.839191\pi\)
\(30\) 190.586 + 368.972i 1.15987 + 2.24549i
\(31\) −92.2467 + 159.776i −0.534451 + 0.925697i 0.464738 + 0.885448i \(0.346148\pi\)
−0.999190 + 0.0402489i \(0.987185\pi\)
\(32\) 21.2881 36.8720i 0.117601 0.203691i
\(33\) 85.9620 133.991i 0.453457 0.706813i
\(34\) 264.901 + 458.822i 1.33618 + 2.31434i
\(35\) −112.980 −0.545630
\(36\) −185.934 405.452i −0.860807 1.87709i
\(37\) 91.0901 0.404733 0.202366 0.979310i \(-0.435137\pi\)
0.202366 + 0.979310i \(0.435137\pi\)
\(38\) −122.578 212.310i −0.523282 0.906350i
\(39\) −404.917 18.9697i −1.66253 0.0778867i
\(40\) 340.486 589.739i 1.34589 2.33115i
\(41\) 41.4346 71.7668i 0.157829 0.273368i −0.776256 0.630417i \(-0.782884\pi\)
0.934086 + 0.357049i \(0.116217\pi\)
\(42\) 179.915 + 8.42872i 0.660989 + 0.0309662i
\(43\) 45.6371 + 79.0458i 0.161851 + 0.280334i 0.935533 0.353241i \(-0.114920\pi\)
−0.773682 + 0.633575i \(0.781587\pi\)
\(44\) −506.139 −1.73417
\(45\) −181.652 396.113i −0.601757 1.31220i
\(46\) −193.191 −0.619227
\(47\) −118.982 206.083i −0.369262 0.639580i 0.620188 0.784453i \(-0.287056\pi\)
−0.989450 + 0.144872i \(0.953723\pi\)
\(48\) −215.379 + 335.716i −0.647652 + 1.00951i
\(49\) −24.5000 + 42.4352i −0.0714286 + 0.123718i
\(50\) 335.481 581.070i 0.948884 1.64352i
\(51\) −255.137 493.943i −0.700516 1.35619i
\(52\) 644.396 + 1116.13i 1.71849 + 2.97652i
\(53\) 497.669 1.28981 0.644906 0.764262i \(-0.276896\pi\)
0.644906 + 0.764262i \(0.276896\pi\)
\(54\) 259.721 + 644.345i 0.654511 + 1.62378i
\(55\) −494.481 −1.21229
\(56\) −147.671 255.773i −0.352381 0.610342i
\(57\) 118.059 + 228.562i 0.274339 + 0.531118i
\(58\) 14.2309 24.6487i 0.0322174 0.0558022i
\(59\) 2.10297 3.64245i 0.00464039 0.00803740i −0.863696 0.504013i \(-0.831856\pi\)
0.868336 + 0.495976i \(0.165190\pi\)
\(60\) −748.141 + 1166.14i −1.60974 + 2.50914i
\(61\) −313.196 542.471i −0.657387 1.13863i −0.981290 0.192537i \(-0.938328\pi\)
0.323903 0.946090i \(-0.395005\pi\)
\(62\) −913.577 −1.87136
\(63\) −188.172 17.6699i −0.376309 0.0353364i
\(64\) −403.264 −0.787626
\(65\) 629.554 + 1090.42i 1.20133 + 2.08077i
\(66\) 787.440 + 36.8902i 1.46859 + 0.0688011i
\(67\) 339.310 587.702i 0.618706 1.07163i −0.371016 0.928627i \(-0.620990\pi\)
0.989722 0.143004i \(-0.0456763\pi\)
\(68\) −883.775 + 1530.74i −1.57608 + 2.72985i
\(69\) 202.502 + 9.48685i 0.353309 + 0.0165519i
\(70\) −279.727 484.502i −0.477626 0.827272i
\(71\) 747.071 1.24875 0.624374 0.781126i \(-0.285354\pi\)
0.624374 + 0.781126i \(0.285354\pi\)
\(72\) 659.327 928.982i 1.07920 1.52058i
\(73\) −23.2628 −0.0372974 −0.0186487 0.999826i \(-0.505936\pi\)
−0.0186487 + 0.999826i \(0.505936\pi\)
\(74\) 225.531 + 390.630i 0.354289 + 0.613647i
\(75\) −380.183 + 592.600i −0.585331 + 0.912368i
\(76\) 408.948 708.319i 0.617232 1.06908i
\(77\) −107.230 + 185.728i −0.158701 + 0.274878i
\(78\) −921.188 1783.41i −1.33723 2.58887i
\(79\) −77.0203 133.403i −0.109689 0.189987i 0.805955 0.591977i \(-0.201652\pi\)
−0.915644 + 0.401989i \(0.868319\pi\)
\(80\) 1238.93 1.73146
\(81\) −240.597 688.153i −0.330037 0.943968i
\(82\) 410.353 0.552633
\(83\) −141.098 244.389i −0.186597 0.323195i 0.757517 0.652816i \(-0.226412\pi\)
−0.944113 + 0.329621i \(0.893079\pi\)
\(84\) 275.768 + 533.884i 0.358199 + 0.693471i
\(85\) −863.420 + 1495.49i −1.10178 + 1.90833i
\(86\) −225.986 + 391.420i −0.283357 + 0.490790i
\(87\) −16.1272 + 25.1378i −0.0198737 + 0.0309776i
\(88\) −646.315 1119.45i −0.782925 1.35607i
\(89\) 111.091 0.132311 0.0661554 0.997809i \(-0.478927\pi\)
0.0661554 + 0.997809i \(0.478927\pi\)
\(90\) 1248.94 1759.74i 1.46277 2.06103i
\(91\) 546.083 0.629067
\(92\) −322.266 558.181i −0.365202 0.632548i
\(93\) 957.605 + 44.8622i 1.06773 + 0.0500214i
\(94\) 589.177 1020.48i 0.646478 1.11973i
\(95\) 399.530 692.006i 0.431483 0.747350i
\(96\) −220.990 10.3530i −0.234945 0.0110067i
\(97\) −555.045 961.367i −0.580993 1.00631i −0.995362 0.0962003i \(-0.969331\pi\)
0.414369 0.910109i \(-0.364002\pi\)
\(98\) −242.639 −0.250104
\(99\) −823.578 77.3362i −0.836088 0.0785109i
\(100\) 2238.49 2.23849
\(101\) 699.163 + 1210.99i 0.688805 + 1.19305i 0.972225 + 0.234050i \(0.0751978\pi\)
−0.283419 + 0.958996i \(0.591469\pi\)
\(102\) 1486.53 2317.09i 1.44302 2.24927i
\(103\) −723.877 + 1253.79i −0.692483 + 1.19942i 0.278539 + 0.960425i \(0.410150\pi\)
−0.971022 + 0.238991i \(0.923183\pi\)
\(104\) −1645.73 + 2850.48i −1.55170 + 2.68762i
\(105\) 269.416 + 521.588i 0.250403 + 0.484779i
\(106\) 1232.18 + 2134.20i 1.12906 + 1.95558i
\(107\) −1063.28 −0.960664 −0.480332 0.877087i \(-0.659484\pi\)
−0.480332 + 0.877087i \(0.659484\pi\)
\(108\) −1428.44 + 1825.25i −1.27270 + 1.62625i
\(109\) 1933.34 1.69890 0.849450 0.527669i \(-0.176934\pi\)
0.849450 + 0.527669i \(0.176934\pi\)
\(110\) −1224.29 2120.53i −1.06120 1.83804i
\(111\) −217.217 420.531i −0.185742 0.359595i
\(112\) 268.666 465.343i 0.226666 0.392596i
\(113\) −770.314 + 1334.22i −0.641284 + 1.11074i 0.343863 + 0.939020i \(0.388264\pi\)
−0.985146 + 0.171716i \(0.945069\pi\)
\(114\) −687.860 + 1072.18i −0.565123 + 0.880869i
\(115\) −314.844 545.325i −0.255298 0.442190i
\(116\) 94.9556 0.0760035
\(117\) 878.007 + 1914.60i 0.693776 + 1.51286i
\(118\) 20.8270 0.0162482
\(119\) 374.471 + 648.602i 0.288468 + 0.499641i
\(120\) −3534.56 165.588i −2.68883 0.125967i
\(121\) 196.184 339.801i 0.147396 0.255298i
\(122\) 1550.89 2686.21i 1.15091 1.99343i
\(123\) −430.129 20.1508i −0.315313 0.0147719i
\(124\) −1523.96 2639.57i −1.10367 1.91162i
\(125\) 169.442 0.121243
\(126\) −390.121 850.706i −0.275832 0.601483i
\(127\) 1471.23 1.02796 0.513980 0.857802i \(-0.328171\pi\)
0.513980 + 0.857802i \(0.328171\pi\)
\(128\) −1168.75 2024.33i −0.807061 1.39787i
\(129\) 256.099 399.187i 0.174792 0.272453i
\(130\) −3117.43 + 5399.56i −2.10321 + 3.64286i
\(131\) −339.376 + 587.816i −0.226347 + 0.392044i −0.956723 0.291001i \(-0.906012\pi\)
0.730376 + 0.683045i \(0.239345\pi\)
\(132\) 1206.96 + 2336.67i 0.795851 + 1.54076i
\(133\) −173.278 300.127i −0.112971 0.195672i
\(134\) 3360.40 2.16638
\(135\) −1395.54 + 1783.21i −0.889698 + 1.13685i
\(136\) −4514.16 −2.84622
\(137\) −909.980 1576.13i −0.567480 0.982905i −0.996814 0.0797591i \(-0.974585\pi\)
0.429334 0.903146i \(-0.358748\pi\)
\(138\) 460.691 + 891.895i 0.284179 + 0.550168i
\(139\) 1459.34 2527.65i 0.890499 1.54239i 0.0512202 0.998687i \(-0.483689\pi\)
0.839279 0.543702i \(-0.182978\pi\)
\(140\) 933.238 1616.42i 0.563379 0.975800i
\(141\) −667.683 + 1040.73i −0.398788 + 0.621599i
\(142\) 1849.68 + 3203.74i 1.09311 + 1.89332i
\(143\) 2390.06 1.39767
\(144\) 2063.49 + 193.767i 1.19415 + 0.112134i
\(145\) 92.7686 0.0531311
\(146\) −57.5966 99.7602i −0.0326488 0.0565494i
\(147\) 254.333 + 11.9150i 0.142701 + 0.00668528i
\(148\) −752.425 + 1303.24i −0.417898 + 0.723821i
\(149\) 492.243 852.590i 0.270645 0.468771i −0.698382 0.715725i \(-0.746096\pi\)
0.969027 + 0.246954i \(0.0794297\pi\)
\(150\) −3482.60 163.154i −1.89569 0.0888098i
\(151\) 64.9327 + 112.467i 0.0349943 + 0.0606120i 0.882992 0.469388i \(-0.155525\pi\)
−0.847998 + 0.530000i \(0.822192\pi\)
\(152\) 2088.83 1.11465
\(153\) −1671.95 + 2355.76i −0.883460 + 1.24478i
\(154\) −1061.96 −0.555685
\(155\) −1488.86 2578.78i −0.771535 1.33634i
\(156\) 3616.11 5636.51i 1.85590 2.89283i
\(157\) 108.515 187.954i 0.0551621 0.0955436i −0.837126 0.547011i \(-0.815766\pi\)
0.892288 + 0.451467i \(0.149099\pi\)
\(158\) 381.390 660.587i 0.192036 0.332617i
\(159\) −1186.76 2297.56i −0.591927 1.14597i
\(160\) 343.589 + 595.113i 0.169769 + 0.294049i
\(161\) −273.099 −0.133685
\(162\) 2355.38 2735.58i 1.14232 1.32671i
\(163\) 40.7178 0.0195660 0.00978302 0.999952i \(-0.496886\pi\)
0.00978302 + 0.999952i \(0.496886\pi\)
\(164\) 684.518 + 1185.62i 0.325926 + 0.564521i
\(165\) 1179.16 + 2282.85i 0.556349 + 1.07709i
\(166\) 698.691 1210.17i 0.326680 0.565827i
\(167\) −862.994 + 1494.75i −0.399883 + 0.692618i −0.993711 0.111974i \(-0.964283\pi\)
0.593828 + 0.804592i \(0.297616\pi\)
\(168\) −828.675 + 1291.67i −0.380557 + 0.593183i
\(169\) −1944.43 3367.84i −0.885037 1.53293i
\(170\) −8550.99 −3.85783
\(171\) 773.661 1090.08i 0.345984 0.487487i
\(172\) −1507.89 −0.668463
\(173\) 291.438 + 504.786i 0.128079 + 0.221839i 0.922932 0.384962i \(-0.125786\pi\)
−0.794853 + 0.606802i \(0.792452\pi\)
\(174\) −147.730 6.92090i −0.0643643 0.00301535i
\(175\) 474.244 821.415i 0.204854 0.354818i
\(176\) 1175.88 2036.68i 0.503609 0.872276i
\(177\) −21.8307 1.02273i −0.00927062 0.000434313i
\(178\) 275.052 + 476.404i 0.115820 + 0.200607i
\(179\) −3699.88 −1.54493 −0.772465 0.635058i \(-0.780976\pi\)
−0.772465 + 0.635058i \(0.780976\pi\)
\(180\) 7167.73 + 673.069i 2.96806 + 0.278709i
\(181\) 2872.98 1.17982 0.589908 0.807470i \(-0.299164\pi\)
0.589908 + 0.807470i \(0.299164\pi\)
\(182\) 1352.05 + 2341.82i 0.550663 + 0.953776i
\(183\) −1757.54 + 2739.52i −0.709951 + 1.10662i
\(184\) 823.037 1425.54i 0.329756 0.571154i
\(185\) −735.095 + 1273.22i −0.292137 + 0.505995i
\(186\) 2178.55 + 4217.67i 0.858814 + 1.66266i
\(187\) 1638.96 + 2838.76i 0.640922 + 1.11011i
\(188\) 3931.27 1.52509
\(189\) 367.148 + 910.862i 0.141302 + 0.350558i
\(190\) 3956.79 1.51082
\(191\) 136.646 + 236.678i 0.0517663 + 0.0896619i 0.890747 0.454499i \(-0.150182\pi\)
−0.838981 + 0.544161i \(0.816848\pi\)
\(192\) 961.642 + 1861.73i 0.361461 + 0.699786i
\(193\) −422.139 + 731.166i −0.157442 + 0.272697i −0.933945 0.357416i \(-0.883658\pi\)
0.776504 + 0.630113i \(0.216991\pi\)
\(194\) 2748.48 4760.51i 1.01716 1.76178i
\(195\) 3532.83 5506.70i 1.29739 2.02227i
\(196\) −404.751 701.049i −0.147504 0.255484i
\(197\) 2506.77 0.906600 0.453300 0.891358i \(-0.350247\pi\)
0.453300 + 0.891358i \(0.350247\pi\)
\(198\) −1707.45 3723.31i −0.612846 1.33638i
\(199\) −3938.12 −1.40284 −0.701421 0.712747i \(-0.747451\pi\)
−0.701421 + 0.712747i \(0.747451\pi\)
\(200\) 2858.45 + 4950.98i 1.01061 + 1.75044i
\(201\) −3522.35 165.016i −1.23606 0.0579071i
\(202\) −3462.13 + 5996.58i −1.20591 + 2.08870i
\(203\) 20.1172 34.8439i 0.00695541 0.0120471i
\(204\) 9174.40 + 429.805i 3.14871 + 0.147512i
\(205\) 668.753 + 1158.31i 0.227843 + 0.394635i
\(206\) −7169.01 −2.42470
\(207\) −439.096 957.502i −0.147436 0.321502i
\(208\) −5988.32 −1.99623
\(209\) −758.393 1313.57i −0.251001 0.434746i
\(210\) −1569.73 + 2446.77i −0.515816 + 0.804014i
\(211\) 33.4253 57.8944i 0.0109057 0.0188892i −0.860521 0.509415i \(-0.829862\pi\)
0.871427 + 0.490526i \(0.163195\pi\)
\(212\) −4110.86 + 7120.21i −1.33177 + 2.30669i
\(213\) −1781.50 3448.97i −0.573081 1.10948i
\(214\) −2632.58 4559.76i −0.840931 1.45654i
\(215\) −1473.16 −0.467297
\(216\) −5861.05 828.593i −1.84627 0.261012i
\(217\) −1291.45 −0.404007
\(218\) 4786.76 + 8290.92i 1.48716 + 2.57583i
\(219\) 55.4735 + 107.396i 0.0171167 + 0.0331378i
\(220\) 4084.53 7074.61i 1.25172 2.16805i
\(221\) 4173.31 7228.38i 1.27026 2.20015i
\(222\) 1265.59 1972.71i 0.382618 0.596395i
\(223\) −1243.80 2154.33i −0.373502 0.646925i 0.616599 0.787277i \(-0.288510\pi\)
−0.990102 + 0.140352i \(0.955177\pi\)
\(224\) 298.033 0.0888981
\(225\) 3642.43 + 342.034i 1.07924 + 0.101343i
\(226\) −7628.90 −2.24543
\(227\) −1923.36 3331.36i −0.562370 0.974054i −0.997289 0.0735843i \(-0.976556\pi\)
0.434919 0.900470i \(-0.356777\pi\)
\(228\) −4245.26 198.883i −1.23311 0.0577691i
\(229\) 2005.94 3474.40i 0.578849 1.00260i −0.416762 0.909015i \(-0.636835\pi\)
0.995612 0.0935809i \(-0.0298314\pi\)
\(230\) 1559.05 2700.35i 0.446959 0.774155i
\(231\) 1113.14 + 52.1489i 0.317054 + 0.0148534i
\(232\) 121.254 + 210.018i 0.0343134 + 0.0594325i
\(233\) 5724.20 1.60946 0.804732 0.593639i \(-0.202309\pi\)
0.804732 + 0.593639i \(0.202309\pi\)
\(234\) −6036.69 + 8505.61i −1.68646 + 2.37619i
\(235\) 3840.73 1.06613
\(236\) 34.7420 + 60.1749i 0.00958267 + 0.0165977i
\(237\) −432.209 + 673.694i −0.118460 + 0.184646i
\(238\) −1854.31 + 3211.76i −0.505029 + 0.874737i
\(239\) −3059.79 + 5299.71i −0.828122 + 1.43435i 0.0713879 + 0.997449i \(0.477257\pi\)
−0.899510 + 0.436901i \(0.856076\pi\)
\(240\) −2954.41 5719.71i −0.794609 1.53836i
\(241\) −246.401 426.780i −0.0658594 0.114072i 0.831216 0.555950i \(-0.187646\pi\)
−0.897075 + 0.441879i \(0.854312\pi\)
\(242\) 1942.94 0.516102
\(243\) −2603.22 + 2751.75i −0.687230 + 0.726440i
\(244\) 10348.3 2.71508
\(245\) −395.429 684.903i −0.103114 0.178599i
\(246\) −978.545 1894.46i −0.253617 0.491000i
\(247\) −1931.11 + 3344.78i −0.497464 + 0.861633i
\(248\) 3892.04 6741.22i 0.996552 1.72608i
\(249\) −791.790 + 1234.18i −0.201517 + 0.314109i
\(250\) 419.523 + 726.636i 0.106132 + 0.183826i
\(251\) −1859.25 −0.467548 −0.233774 0.972291i \(-0.575108\pi\)
−0.233774 + 0.972291i \(0.575108\pi\)
\(252\) 1807.15 2546.25i 0.451745 0.636502i
\(253\) −1195.28 −0.297022
\(254\) 3642.63 + 6309.23i 0.899840 + 1.55857i
\(255\) 8963.10 + 419.906i 2.20114 + 0.103120i
\(256\) 4174.37 7230.23i 1.01913 1.76519i
\(257\) −1885.96 + 3266.57i −0.457753 + 0.792852i −0.998842 0.0481134i \(-0.984679\pi\)
0.541088 + 0.840966i \(0.318012\pi\)
\(258\) 2345.95 + 109.904i 0.566094 + 0.0265205i
\(259\) 318.815 + 552.204i 0.0764873 + 0.132480i
\(260\) −20801.0 −4.96164
\(261\) 154.510 + 14.5089i 0.0366434 + 0.00344091i
\(262\) −3361.05 −0.792544
\(263\) −20.3689 35.2800i −0.00477568 0.00827171i 0.863628 0.504130i \(-0.168187\pi\)
−0.868403 + 0.495858i \(0.834853\pi\)
\(264\) −3626.88 + 5653.30i −0.845527 + 1.31794i
\(265\) −4016.18 + 6956.22i −0.930988 + 1.61252i
\(266\) 858.043 1486.17i 0.197782 0.342568i
\(267\) −264.913 512.871i −0.0607208 0.117555i
\(268\) 5605.56 + 9709.11i 1.27766 + 2.21298i
\(269\) 1404.08 0.318247 0.159124 0.987259i \(-0.449133\pi\)
0.159124 + 0.987259i \(0.449133\pi\)
\(270\) −11102.4 1569.57i −2.50247 0.353782i
\(271\) −222.681 −0.0499148 −0.0249574 0.999689i \(-0.507945\pi\)
−0.0249574 + 0.999689i \(0.507945\pi\)
\(272\) −4106.43 7112.55i −0.915400 1.58552i
\(273\) −1302.21 2521.08i −0.288694 0.558910i
\(274\) 4506.05 7804.71i 0.993505 1.72080i
\(275\) 2075.64 3595.11i 0.455148 0.788339i
\(276\) −1808.44 + 2818.85i −0.394403 + 0.614764i
\(277\) 2889.62 + 5004.98i 0.626789 + 1.08563i 0.988192 + 0.153221i \(0.0489647\pi\)
−0.361403 + 0.932410i \(0.617702\pi\)
\(278\) 14452.7 3.11805
\(279\) −2076.43 4527.91i −0.445566 0.971609i
\(280\) 4766.80 1.01740
\(281\) −1885.10 3265.09i −0.400198 0.693162i 0.593552 0.804796i \(-0.297725\pi\)
−0.993749 + 0.111633i \(0.964392\pi\)
\(282\) −6116.20 286.533i −1.29154 0.0605064i
\(283\) 2402.06 4160.49i 0.504549 0.873905i −0.495437 0.868644i \(-0.664992\pi\)
0.999986 0.00526120i \(-0.00167470\pi\)
\(284\) −6170.98 + 10688.4i −1.28937 + 2.23325i
\(285\) −4147.49 194.303i −0.862020 0.0403842i
\(286\) 5917.56 + 10249.5i 1.22347 + 2.11911i
\(287\) 580.084 0.119308
\(288\) 479.186 + 1044.92i 0.0980427 + 0.213794i
\(289\) 6534.21 1.32998
\(290\) 229.686 + 397.829i 0.0465091 + 0.0805562i
\(291\) −3114.71 + 4854.97i −0.627449 + 0.978018i
\(292\) 192.156 332.824i 0.0385106 0.0667023i
\(293\) −1493.45 + 2586.74i −0.297777 + 0.515764i −0.975627 0.219436i \(-0.929578\pi\)
0.677850 + 0.735200i \(0.262912\pi\)
\(294\) 578.607 + 1120.18i 0.114779 + 0.222211i
\(295\) 33.9418 + 58.7890i 0.00669888 + 0.0116028i
\(296\) −3843.24 −0.754676
\(297\) 1606.91 + 3986.59i 0.313947 + 0.778874i
\(298\) 4874.99 0.947653
\(299\) 1521.78 + 2635.81i 0.294338 + 0.509808i
\(300\) −5338.01 10334.3i −1.02730 1.98885i
\(301\) −319.460 + 553.321i −0.0611739 + 0.105956i
\(302\) −321.534 + 556.914i −0.0612657 + 0.106115i
\(303\) 3923.45 6115.56i 0.743882 1.15950i
\(304\) 1900.16 + 3291.18i 0.358493 + 0.620928i
\(305\) 10109.9 1.89801
\(306\) −14242.0 1337.36i −2.66066 0.249843i
\(307\) −2881.52 −0.535691 −0.267845 0.963462i \(-0.586312\pi\)
−0.267845 + 0.963462i \(0.586312\pi\)
\(308\) −1771.49 3068.30i −0.327726 0.567639i
\(309\) 7514.51 + 352.042i 1.38345 + 0.0648122i
\(310\) 7372.55 12769.6i 1.35075 2.33957i
\(311\) −3398.84 + 5886.96i −0.619712 + 1.07337i 0.369826 + 0.929101i \(0.379417\pi\)
−0.989538 + 0.144272i \(0.953916\pi\)
\(312\) 17084.1 + 800.363i 3.10000 + 0.145230i
\(313\) −470.871 815.572i −0.0850326 0.147281i 0.820373 0.571829i \(-0.193766\pi\)
−0.905405 + 0.424549i \(0.860433\pi\)
\(314\) 1074.69 0.193148
\(315\) 1765.53 2487.60i 0.315798 0.444954i
\(316\) 2544.82 0.453029
\(317\) −1816.50 3146.27i −0.321845 0.557452i 0.659024 0.752122i \(-0.270970\pi\)
−0.980869 + 0.194670i \(0.937636\pi\)
\(318\) 6914.55 10777.9i 1.21934 1.90060i
\(319\) 88.0473 152.502i 0.0154536 0.0267664i
\(320\) 3254.34 5636.68i 0.568509 0.984687i
\(321\) 2535.54 + 4908.79i 0.440872 + 0.853526i
\(322\) −676.168 1171.16i −0.117023 0.202690i
\(323\) −5296.96 −0.912478
\(324\) 11832.9 + 2242.05i 2.02896 + 0.384439i
\(325\) −10570.5 −1.80414
\(326\) 100.813 + 174.614i 0.0171274 + 0.0296656i
\(327\) −4610.32 8925.55i −0.779668 1.50943i
\(328\) −1748.20 + 3027.96i −0.294293 + 0.509730i
\(329\) 832.874 1442.58i 0.139568 0.241739i
\(330\) −6870.26 + 10708.8i −1.14605 + 1.78637i
\(331\) −1375.17 2381.86i −0.228357 0.395525i 0.728965 0.684551i \(-0.240002\pi\)
−0.957321 + 0.289026i \(0.906669\pi\)
\(332\) 4662.01 0.770665
\(333\) −1423.46 + 2005.63i −0.234250 + 0.330054i
\(334\) −8546.77 −1.40017
\(335\) 5476.45 + 9485.49i 0.893166 + 1.54701i
\(336\) −2789.00 130.660i −0.452835 0.0212145i
\(337\) −2916.14 + 5050.90i −0.471372 + 0.816440i −0.999464 0.0327474i \(-0.989574\pi\)
0.528092 + 0.849187i \(0.322908\pi\)
\(338\) 9628.43 16676.9i 1.54946 2.68374i
\(339\) 7996.57 + 374.625i 1.28116 + 0.0600202i
\(340\) −14264.1 24706.1i −2.27523 3.94082i
\(341\) −5652.34 −0.897629
\(342\) 6590.19 + 618.837i 1.04198 + 0.0978446i
\(343\) −343.000 −0.0539949
\(344\) −1925.51 3335.07i −0.301792 0.522719i
\(345\) −1766.79 + 2753.93i −0.275712 + 0.429758i
\(346\) −1443.15 + 2499.61i −0.224232 + 0.388380i
\(347\) −1704.98 + 2953.11i −0.263770 + 0.456863i −0.967241 0.253862i \(-0.918299\pi\)
0.703471 + 0.710724i \(0.251633\pi\)
\(348\) −226.435 438.377i −0.0348799 0.0675272i
\(349\) −2973.73 5150.66i −0.456104 0.789996i 0.542647 0.839961i \(-0.317422\pi\)
−0.998751 + 0.0499654i \(0.984089\pi\)
\(350\) 4696.74 0.717289
\(351\) 6745.30 8619.09i 1.02575 1.31069i
\(352\) 1304.41 0.197515
\(353\) 265.847 + 460.460i 0.0400838 + 0.0694273i 0.885371 0.464885i \(-0.153904\pi\)
−0.845287 + 0.534312i \(0.820571\pi\)
\(354\) −49.6650 96.1511i −0.00745668 0.0144361i
\(355\) −6028.85 + 10442.3i −0.901347 + 1.56118i
\(356\) −917.640 + 1589.40i −0.136615 + 0.236624i
\(357\) 2101.39 3275.49i 0.311533 0.485594i
\(358\) −9160.57 15866.6i −1.35238 2.34239i
\(359\) −7555.95 −1.11083 −0.555415 0.831573i \(-0.687441\pi\)
−0.555415 + 0.831573i \(0.687441\pi\)
\(360\) 7664.20 + 16712.7i 1.12205 + 2.44677i
\(361\) −4407.94 −0.642651
\(362\) 7113.22 + 12320.5i 1.03277 + 1.78881i
\(363\) −2036.57 95.4099i −0.294469 0.0137954i
\(364\) −4510.77 + 7812.88i −0.649529 + 1.12502i
\(365\) 187.730 325.159i 0.0269213 0.0466290i
\(366\) −16099.6 754.240i −2.29929 0.107718i
\(367\) 4851.61 + 8403.24i 0.690060 + 1.19522i 0.971818 + 0.235733i \(0.0757492\pi\)
−0.281758 + 0.959486i \(0.590917\pi\)
\(368\) 2994.79 0.424224
\(369\) 932.676 + 2033.81i 0.131580 + 0.286927i
\(370\) −7280.11 −1.02290
\(371\) 1741.84 + 3016.96i 0.243752 + 0.422190i
\(372\) −8551.89 + 13330.0i −1.19192 + 1.85787i
\(373\) −7.09728 + 12.2928i −0.000985210 + 0.00170643i −0.866518 0.499147i \(-0.833647\pi\)
0.865532 + 0.500853i \(0.166980\pi\)
\(374\) −8115.81 + 14057.0i −1.12208 + 1.94350i
\(375\) −404.059 782.256i −0.0556414 0.107721i
\(376\) 5020.05 + 8694.98i 0.688536 + 1.19258i
\(377\) −448.393 −0.0612558
\(378\) −2997.11 + 3829.68i −0.407817 + 0.521105i
\(379\) −2618.92 −0.354948 −0.177474 0.984126i \(-0.556792\pi\)
−0.177474 + 0.984126i \(0.556792\pi\)
\(380\) 6600.41 + 11432.2i 0.891037 + 1.54332i
\(381\) −3508.37 6792.17i −0.471756 0.913316i
\(382\) −676.646 + 1171.98i −0.0906288 + 0.156974i
\(383\) 4344.62 7525.10i 0.579633 1.00395i −0.415888 0.909416i \(-0.636529\pi\)
0.995521 0.0945386i \(-0.0301376\pi\)
\(384\) −6558.59 + 10223.0i −0.871593 + 1.35857i
\(385\) −1730.69 2997.63i −0.229101 0.396815i
\(386\) −4180.71 −0.551276
\(387\) −2453.61 230.400i −0.322284 0.0302633i
\(388\) 18339.2 2.39957
\(389\) −5302.27 9183.80i −0.691094 1.19701i −0.971480 0.237123i \(-0.923796\pi\)
0.280385 0.959888i \(-0.409538\pi\)
\(390\) 32361.8 + 1516.10i 4.20181 + 0.196848i
\(391\) −2087.10 + 3614.96i −0.269946 + 0.467560i
\(392\) 1033.70 1790.41i 0.133188 0.230688i
\(393\) 3523.03 + 165.048i 0.452197 + 0.0211847i
\(394\) 6206.53 + 10750.0i 0.793606 + 1.37457i
\(395\) 2486.21 0.316695
\(396\) 7909.40 11144.2i 1.00369 1.41419i
\(397\) 2918.97 0.369015 0.184508 0.982831i \(-0.440931\pi\)
0.184508 + 0.982831i \(0.440931\pi\)
\(398\) −9750.41 16888.2i −1.22800 2.12696i
\(399\) −972.375 + 1515.66i −0.122004 + 0.190171i
\(400\) −5200.54 + 9007.60i −0.650068 + 1.12595i
\(401\) −2129.01 + 3687.56i −0.265132 + 0.459222i −0.967598 0.252495i \(-0.918749\pi\)
0.702466 + 0.711717i \(0.252082\pi\)
\(402\) −8013.36 15513.8i −0.994204 1.92477i
\(403\) 7196.34 + 12464.4i 0.889516 + 1.54069i
\(404\) −23101.0 −2.84484
\(405\) 11560.3 + 2190.41i 1.41837 + 0.268746i
\(406\) 199.233 0.0243541
\(407\) 1395.37 + 2416.85i 0.169941 + 0.294346i
\(408\) 10764.7 + 20840.3i 1.30620 + 2.52879i
\(409\) 2308.33 3998.14i 0.279070 0.483363i −0.692084 0.721817i \(-0.743307\pi\)
0.971154 + 0.238454i \(0.0766406\pi\)
\(410\) −3311.54 + 5735.75i −0.398891 + 0.690899i
\(411\) −5106.47 + 7959.57i −0.612856 + 0.955272i
\(412\) −11958.8 20713.2i −1.43002 2.47686i
\(413\) 29.4416 0.00350781
\(414\) 3018.98 4253.70i 0.358394 0.504971i
\(415\) 4554.63 0.538742
\(416\) −1660.72 2876.46i −0.195730 0.339014i
\(417\) −15149.3 709.717i −1.77905 0.0833453i
\(418\) 3755.42 6504.58i 0.439434 0.761122i
\(419\) −997.567 + 1727.84i −0.116311 + 0.201457i −0.918303 0.395878i \(-0.870440\pi\)
0.801992 + 0.597335i \(0.203774\pi\)
\(420\) −9687.87 453.860i −1.12552 0.0527288i
\(421\) −8281.75 14344.4i −0.958736 1.66058i −0.725577 0.688141i \(-0.758427\pi\)
−0.233160 0.972438i \(-0.574907\pi\)
\(422\) 331.032 0.0381857
\(423\) 6396.89 + 600.685i 0.735289 + 0.0690456i
\(424\) −20997.5 −2.40502
\(425\) −7248.59 12554.9i −0.827314 1.43295i
\(426\) 10379.7 16179.1i 1.18051 1.84009i
\(427\) 2192.37 3797.30i 0.248469 0.430361i
\(428\) 8782.92 15212.5i 0.991912 1.71804i
\(429\) −5699.43 11034.1i −0.641425 1.24179i
\(430\) −3647.41 6317.50i −0.409055 0.708505i
\(431\) 1439.27 0.160852 0.0804258 0.996761i \(-0.474372\pi\)
0.0804258 + 0.996761i \(0.474372\pi\)
\(432\) −4026.13 9988.47i −0.448396 1.11243i
\(433\) −6467.98 −0.717856 −0.358928 0.933365i \(-0.616858\pi\)
−0.358928 + 0.933365i \(0.616858\pi\)
\(434\) −3197.52 5538.26i −0.353654 0.612547i
\(435\) −221.220 428.280i −0.0243832 0.0472057i
\(436\) −15969.8 + 27660.5i −1.75416 + 3.03830i
\(437\) 965.760 1672.74i 0.105717 0.183108i
\(438\) −323.211 + 503.796i −0.0352594 + 0.0549596i
\(439\) 6255.01 + 10834.0i 0.680035 + 1.17785i 0.974970 + 0.222337i \(0.0713686\pi\)
−0.294935 + 0.955517i \(0.595298\pi\)
\(440\) 20863.0 2.26047
\(441\) −551.485 1202.58i −0.0595492 0.129854i
\(442\) 41330.9 4.44776
\(443\) −3510.58 6080.51i −0.376507 0.652130i 0.614044 0.789272i \(-0.289542\pi\)
−0.990551 + 0.137142i \(0.956208\pi\)
\(444\) 7810.86 + 365.925i 0.834881 + 0.0391127i
\(445\) −896.506 + 1552.79i −0.0955021 + 0.165415i
\(446\) 6159.07 10667.8i 0.653902 1.13259i
\(447\) −5109.93 239.392i −0.540697 0.0253307i
\(448\) −1411.43 2444.66i −0.148847 0.257811i
\(449\) 5184.19 0.544894 0.272447 0.962171i \(-0.412167\pi\)
0.272447 + 0.962171i \(0.412167\pi\)
\(450\) 7551.54 + 16467.0i 0.791073 + 1.72503i
\(451\) 2538.87 0.265079
\(452\) −12725.9 22042.0i −1.32429 2.29373i
\(453\) 364.378 567.964i 0.0377925 0.0589079i
\(454\) 9524.13 16496.3i 0.984559 1.70531i
\(455\) −4406.88 + 7632.94i −0.454061 + 0.786457i
\(456\) −4981.12 9643.41i −0.511540 0.990338i
\(457\) −1288.14 2231.12i −0.131853 0.228375i 0.792538 0.609822i \(-0.208759\pi\)
−0.924391 + 0.381447i \(0.875426\pi\)
\(458\) 19866.1 2.02682
\(459\) 14862.7 + 2101.19i 1.51140 + 0.213671i
\(460\) 10402.7 1.05441
\(461\) 8952.21 + 15505.7i 0.904438 + 1.56653i 0.821670 + 0.569963i \(0.193043\pi\)
0.0827674 + 0.996569i \(0.473624\pi\)
\(462\) 2532.41 + 4902.72i 0.255018 + 0.493712i
\(463\) −5631.93 + 9754.79i −0.565309 + 0.979144i 0.431712 + 0.902012i \(0.357910\pi\)
−0.997021 + 0.0771323i \(0.975424\pi\)
\(464\) −220.604 + 382.097i −0.0220717 + 0.0382293i
\(465\) −8354.92 + 13023.0i −0.833226 + 1.29877i
\(466\) 14172.6 + 24547.6i 1.40887 + 2.44023i
\(467\) 9817.00 0.972755 0.486377 0.873749i \(-0.338318\pi\)
0.486377 + 0.873749i \(0.338318\pi\)
\(468\) −34645.0 3253.25i −3.42193 0.321328i
\(469\) 4750.34 0.467698
\(470\) 9509.29 + 16470.6i 0.933257 + 1.61645i
\(471\) −1126.49 52.7740i −0.110203 0.00516284i
\(472\) −88.7278 + 153.681i −0.00865260 + 0.0149867i
\(473\) −1398.19 + 2421.73i −0.135917 + 0.235415i
\(474\) −3959.18 185.481i −0.383652 0.0179734i
\(475\) 3354.13 + 5809.53i 0.323996 + 0.561178i
\(476\) −12372.9 −1.19140
\(477\) −7777.04 + 10957.7i −0.746512 + 1.05182i
\(478\) −30303.0 −2.89964
\(479\) −3675.86 6366.78i −0.350636 0.607319i 0.635725 0.771915i \(-0.280701\pi\)
−0.986361 + 0.164597i \(0.947368\pi\)
\(480\) 1928.09 3005.36i 0.183344 0.285782i
\(481\) 3553.05 6154.07i 0.336809 0.583371i
\(482\) 1220.13 2113.33i 0.115302 0.199709i
\(483\) 651.244 + 1260.80i 0.0613512 + 0.118776i
\(484\) 3241.05 + 5613.67i 0.304381 + 0.527204i
\(485\) 17916.8 1.67745
\(486\) −18245.9 4350.58i −1.70299 0.406062i
\(487\) 15312.1 1.42476 0.712378 0.701796i \(-0.247618\pi\)
0.712378 + 0.701796i \(0.247618\pi\)
\(488\) 13214.3 + 22887.8i 1.22578 + 2.12312i
\(489\) −97.0975 187.980i −0.00897934 0.0173839i
\(490\) 1958.09 3391.51i 0.180526 0.312679i
\(491\) 8989.47 15570.2i 0.826251 1.43111i −0.0747090 0.997205i \(-0.523803\pi\)
0.900960 0.433903i \(-0.142864\pi\)
\(492\) 3841.27 5987.47i 0.351987 0.548650i
\(493\) −307.481 532.573i −0.0280898 0.0486529i
\(494\) −19125.0 −1.74185
\(495\) 7727.24 10887.6i 0.701643 0.988605i
\(496\) 14162.0 1.28204
\(497\) 2614.75 + 4528.88i 0.235991 + 0.408748i
\(498\) −7253.05 339.793i −0.652645 0.0305753i
\(499\) 9407.52 16294.3i 0.843965 1.46179i −0.0425521 0.999094i \(-0.513549\pi\)
0.886517 0.462696i \(-0.153118\pi\)
\(500\) −1399.63 + 2424.23i −0.125187 + 0.216830i
\(501\) 8958.67 + 419.698i 0.798890 + 0.0374266i
\(502\) −4603.32 7973.19i −0.409275 0.708886i
\(503\) −6228.19 −0.552090 −0.276045 0.961145i \(-0.589024\pi\)
−0.276045 + 0.961145i \(0.589024\pi\)
\(504\) 7939.30 + 745.521i 0.701676 + 0.0658892i
\(505\) −22568.9 −1.98872
\(506\) −2959.40 5125.84i −0.260003 0.450339i
\(507\) −10911.4 + 17007.8i −0.955804 + 1.48983i
\(508\) −12152.7 + 21049.1i −1.06140 + 1.83839i
\(509\) 5901.69 10222.0i 0.513925 0.890144i −0.485944 0.873990i \(-0.661524\pi\)
0.999870 0.0161547i \(-0.00514243\pi\)
\(510\) 20391.1 + 39477.0i 1.77045 + 3.42759i
\(511\) −81.4199 141.023i −0.00704854 0.0122084i
\(512\) 22641.4 1.95433
\(513\) −6877.41 972.279i −0.591901 0.0836787i
\(514\) −18677.8 −1.60281
\(515\) −11683.4 20236.2i −0.999670 1.73148i
\(516\) 3595.78 + 6961.41i 0.306774 + 0.593913i
\(517\) 3645.26 6313.78i 0.310094 0.537098i
\(518\) −1578.71 + 2734.41i −0.133909 + 0.231937i
\(519\) 1635.44 2549.20i 0.138320 0.215602i
\(520\) −26562.0 46006.7i −2.24004 3.87986i
\(521\) −7277.82 −0.611990 −0.305995 0.952033i \(-0.598989\pi\)
−0.305995 + 0.952033i \(0.598989\pi\)
\(522\) 320.332 + 698.522i 0.0268593 + 0.0585699i
\(523\) 18929.2 1.58263 0.791316 0.611408i \(-0.209397\pi\)
0.791316 + 0.611408i \(0.209397\pi\)
\(524\) −5606.64 9710.99i −0.467419 0.809593i
\(525\) −4923.09 230.638i −0.409260 0.0191731i
\(526\) 100.863 174.700i 0.00836092 0.0144815i
\(527\) −9869.62 + 17094.7i −0.815802 + 1.41301i
\(528\) −12206.7 571.863i −1.00611 0.0471347i
\(529\) 5322.45 + 9218.75i 0.437449 + 0.757685i
\(530\) −39774.7 −3.25982
\(531\) 47.3369 + 103.224i 0.00386864 + 0.00843603i
\(532\) 5725.28 0.466583
\(533\) −3232.39 5598.67i −0.262684 0.454981i
\(534\) 1543.49 2405.87i 0.125081 0.194967i
\(535\) 8580.63 14862.1i 0.693408 1.20102i
\(536\) −14316.1 + 24796.2i −1.15366 + 1.99819i
\(537\) 8822.90 + 17081.1i 0.709006 + 1.37263i
\(538\) 3476.38 + 6021.26i 0.278582 + 0.482519i
\(539\) −1501.22 −0.119967
\(540\) −13985.2 34696.0i −1.11449 2.76496i
\(541\) 3018.24 0.239860 0.119930 0.992782i \(-0.461733\pi\)
0.119930 + 0.992782i \(0.461733\pi\)
\(542\) −551.337 954.944i −0.0436936 0.0756796i
\(543\) −6851.03 13263.5i −0.541447 1.04824i
\(544\) 2277.65 3945.00i 0.179510 0.310920i
\(545\) −15602.0 + 27023.5i −1.22627 + 2.12396i
\(546\) 7587.21 11826.4i 0.594694 0.926962i
\(547\) 4726.68 + 8186.86i 0.369467 + 0.639936i 0.989482 0.144654i \(-0.0462069\pi\)
−0.620015 + 0.784590i \(0.712874\pi\)
\(548\) 30066.6 2.34376
\(549\) 16838.5 + 1581.18i 1.30902 + 0.122920i
\(550\) 20556.3 1.59368
\(551\) 142.280 + 246.437i 0.0110006 + 0.0190537i
\(552\) −8543.88 400.266i −0.658789 0.0308631i
\(553\) 539.142 933.821i 0.0414587 0.0718085i
\(554\) −14308.9 + 24783.7i −1.09734 + 1.90065i
\(555\) 7630.96 + 357.497i 0.583633 + 0.0273422i
\(556\) 24108.9 + 41757.8i 1.83893 + 3.18512i
\(557\) 6175.74 0.469793 0.234896 0.972020i \(-0.424525\pi\)
0.234896 + 0.972020i \(0.424525\pi\)
\(558\) 14276.4 20115.3i 1.08310 1.52607i
\(559\) 7120.47 0.538755
\(560\) 4336.26 + 7510.62i 0.327215 + 0.566753i
\(561\) 9197.22 14335.9i 0.692169 1.07890i
\(562\) 9334.65 16168.1i 0.700638 1.21354i
\(563\) −6329.56 + 10963.1i −0.473817 + 0.820675i −0.999551 0.0299739i \(-0.990458\pi\)
0.525734 + 0.850649i \(0.323791\pi\)
\(564\) −9374.68 18149.3i −0.699903 1.35501i
\(565\) −12432.8 21534.3i −0.925758 1.60346i
\(566\) 23789.1 1.76666
\(567\) 3329.62 3867.08i 0.246615 0.286423i
\(568\) −31520.2 −2.32845
\(569\) −9605.51 16637.2i −0.707704 1.22578i −0.965707 0.259636i \(-0.916398\pi\)
0.258002 0.966144i \(-0.416936\pi\)
\(570\) −9435.54 18267.1i −0.693353 1.34233i
\(571\) 3780.12 6547.37i 0.277046 0.479858i −0.693603 0.720357i \(-0.743978\pi\)
0.970649 + 0.240499i \(0.0773112\pi\)
\(572\) −19742.4 + 34194.9i −1.44313 + 2.49958i
\(573\) 766.808 1195.24i 0.0559055 0.0871411i
\(574\) 1436.23 + 2487.63i 0.104438 + 0.180892i
\(575\) 5286.36 0.383402
\(576\) 6301.79 8879.13i 0.455859 0.642298i
\(577\) −14126.1 −1.01920 −0.509598 0.860413i \(-0.670206\pi\)
−0.509598 + 0.860413i \(0.670206\pi\)
\(578\) 16178.1 + 28021.3i 1.16422 + 2.01649i
\(579\) 4382.19 + 205.298i 0.314538 + 0.0147356i
\(580\) −766.290 + 1327.25i −0.0548594 + 0.0950193i
\(581\) 987.686 1710.72i 0.0705269 0.122156i
\(582\) −28531.8 1336.66i −2.03210 0.0952002i
\(583\) 7623.56 + 13204.4i 0.541571 + 0.938028i
\(584\) 981.497 0.0695456
\(585\) −33847.0 3178.33i −2.39214 0.224628i
\(586\) −14790.6 −1.04265
\(587\) −5811.15 10065.2i −0.408606 0.707727i 0.586128 0.810219i \(-0.300652\pi\)
−0.994734 + 0.102492i \(0.967318\pi\)
\(588\) −2271.31 + 3540.35i −0.159298 + 0.248302i
\(589\) 4566.96 7910.21i 0.319488 0.553369i
\(590\) −168.074 + 291.112i −0.0117279 + 0.0203134i
\(591\) −5977.76 11572.9i −0.416061 0.805491i
\(592\) −3496.11 6055.45i −0.242719 0.420401i
\(593\) −22182.5 −1.53613 −0.768064 0.640373i \(-0.778780\pi\)
−0.768064 + 0.640373i \(0.778780\pi\)
\(594\) −13117.5 + 16761.5i −0.906093 + 1.15780i
\(595\) −12087.9 −0.832865
\(596\) 8132.07 + 14085.2i 0.558897 + 0.968038i
\(597\) 9391.01 + 18180.9i 0.643799 + 1.24639i
\(598\) −7535.59 + 13052.0i −0.515306 + 0.892537i
\(599\) 11203.2 19404.5i 0.764189 1.32361i −0.176485 0.984303i \(-0.556473\pi\)
0.940674 0.339311i \(-0.110194\pi\)
\(600\) 16040.6 25002.8i 1.09142 1.70123i
\(601\) −5627.94 9747.88i −0.381977 0.661604i 0.609367 0.792888i \(-0.291423\pi\)
−0.991345 + 0.131284i \(0.958090\pi\)
\(602\) −3163.81 −0.214198
\(603\) 7637.73 + 16655.0i 0.515808 + 1.12478i
\(604\) −2145.43 −0.144531
\(605\) 3166.41 + 5484.38i 0.212781 + 0.368548i
\(606\) 35940.0 + 1683.73i 2.40918 + 0.112866i
\(607\) 6156.29 10663.0i 0.411658 0.713012i −0.583413 0.812175i \(-0.698283\pi\)
0.995071 + 0.0991632i \(0.0316166\pi\)
\(608\) −1053.93 + 1825.47i −0.0703004 + 0.121764i
\(609\) −208.835 9.78354i −0.0138956 0.000650984i
\(610\) 25031.2 + 43355.4i 1.66145 + 2.87772i
\(611\) −18564.0 −1.22916
\(612\) −19893.4 43379.9i −1.31396 2.86524i
\(613\) −26835.4 −1.76814 −0.884070 0.467354i \(-0.845207\pi\)
−0.884070 + 0.467354i \(0.845207\pi\)
\(614\) −7134.37 12357.1i −0.468925 0.812202i
\(615\) 3752.80 5849.57i 0.246061 0.383540i
\(616\) 4524.21 7836.16i 0.295918 0.512545i
\(617\) 10882.7 18849.4i 0.710084 1.22990i −0.254741 0.967009i \(-0.581990\pi\)
0.964825 0.262893i \(-0.0846766\pi\)
\(618\) 17095.5 + 33096.8i 1.11276 + 2.15429i
\(619\) −3557.64 6162.01i −0.231007 0.400117i 0.727097 0.686534i \(-0.240869\pi\)
−0.958105 + 0.286418i \(0.907535\pi\)
\(620\) 49193.2 3.18653
\(621\) −3373.36 + 4310.46i −0.217985 + 0.278539i
\(622\) −33660.8 −2.16990
\(623\) 388.820 + 673.456i 0.0250044 + 0.0433089i
\(624\) 14280.0 + 27646.0i 0.916119 + 1.77360i
\(625\) 7101.25 12299.7i 0.454480 0.787182i
\(626\) 2331.67 4038.56i 0.148869 0.257849i
\(627\) −4255.82 + 6633.64i −0.271070 + 0.422523i
\(628\) 1792.72 + 3105.08i 0.113913 + 0.197303i
\(629\) 9745.88 0.617796
\(630\) 15039.1 + 1412.21i 0.951067 + 0.0893078i
\(631\) −11639.8 −0.734345 −0.367173 0.930153i \(-0.619674\pi\)
−0.367173 + 0.930153i \(0.619674\pi\)
\(632\) 3249.61 + 5628.50i 0.204530 + 0.354256i
\(633\) −346.986 16.2557i −0.0217874 0.00102070i
\(634\) 8994.98 15579.8i 0.563464 0.975948i
\(635\) −11872.8 + 20564.3i −0.741982 + 1.28515i
\(636\) 42674.5 + 1999.23i 2.66062 + 0.124645i
\(637\) 1911.29 + 3310.45i 0.118882 + 0.205910i
\(638\) 871.988 0.0541102
\(639\) −11674.4 + 16449.1i −0.722745 + 1.01834i
\(640\) 37727.1 2.33015
\(641\) 12837.8 + 22235.7i 0.791048 + 1.37014i 0.925318 + 0.379191i \(0.123798\pi\)
−0.134270 + 0.990945i \(0.542869\pi\)
\(642\) −14773.1 + 23027.1i −0.908171 + 1.41559i
\(643\) 8573.42 14849.6i 0.525821 0.910748i −0.473727 0.880672i \(-0.657092\pi\)
0.999548 0.0300764i \(-0.00957506\pi\)
\(644\) 2255.86 3907.27i 0.138033 0.239081i
\(645\) 3512.97 + 6801.08i 0.214454 + 0.415182i
\(646\) −13114.8 22715.4i −0.798752 1.38348i
\(647\) −13104.3 −0.796263 −0.398132 0.917328i \(-0.630341\pi\)
−0.398132 + 0.917328i \(0.630341\pi\)
\(648\) 10151.2 + 29034.3i 0.615395 + 1.76015i
\(649\) 128.858 0.00779369
\(650\) −26171.5 45330.4i −1.57928 2.73539i
\(651\) 3079.66 + 5962.19i 0.185409 + 0.358950i
\(652\) −336.338 + 582.555i −0.0202025 + 0.0349917i
\(653\) 8373.04 14502.5i 0.501780 0.869108i −0.498218 0.867052i \(-0.666012\pi\)
0.999998 0.00205652i \(-0.000654611\pi\)
\(654\) 26861.6 41869.7i 1.60607 2.50342i
\(655\) −5477.51 9487.33i −0.326754 0.565955i
\(656\) −6361.18 −0.378601
\(657\) 363.527 512.204i 0.0215868 0.0304155i
\(658\) 8248.47 0.488691
\(659\) 12133.6 + 21015.9i 0.717232 + 1.24228i 0.962092 + 0.272724i \(0.0879247\pi\)
−0.244860 + 0.969558i \(0.578742\pi\)
\(660\) −42401.2 1986.42i −2.50070 0.117154i
\(661\) −7233.95 + 12529.6i −0.425670 + 0.737282i −0.996483 0.0837981i \(-0.973295\pi\)
0.570813 + 0.821080i \(0.306628\pi\)
\(662\) 6809.57 11794.5i 0.399791 0.692458i
\(663\) −43322.8 2029.60i −2.53773 0.118888i
\(664\) 5953.16 + 10311.2i 0.347933 + 0.602638i
\(665\) 5593.42 0.326170
\(666\) −12125.3 1138.60i −0.705475 0.0662459i
\(667\) 224.244 0.0130176
\(668\) −14257.0 24693.9i −0.825781 1.43029i
\(669\) −6979.75 + 10879.5i −0.403367 + 0.628738i
\(670\) −27118.4 + 46970.4i −1.56369 + 2.70839i
\(671\) 9595.41 16619.7i 0.552052 0.956181i
\(672\) −710.703 1375.92i −0.0407975 0.0789837i
\(673\) 7479.13 + 12954.2i 0.428379 + 0.741975i 0.996729 0.0808120i \(-0.0257513\pi\)
−0.568350 + 0.822787i \(0.692418\pi\)
\(674\) −28880.4 −1.65049
\(675\) −7106.85 17631.5i −0.405248 1.00539i
\(676\) 64245.6 3.65530
\(677\) 12861.9 + 22277.4i 0.730165 + 1.26468i 0.956812 + 0.290706i \(0.0938903\pi\)
−0.226647 + 0.973977i \(0.572776\pi\)
\(678\) 18192.2 + 35220.0i 1.03048 + 1.99501i
\(679\) 3885.32 6729.57i 0.219595 0.380349i
\(680\) 36429.2 63097.2i 2.05440 3.55833i
\(681\) −10793.2 + 16823.6i −0.607337 + 0.946670i
\(682\) −13994.7 24239.5i −0.785753 1.36096i
\(683\) −2949.64 −0.165248 −0.0826242 0.996581i \(-0.526330\pi\)
−0.0826242 + 0.996581i \(0.526330\pi\)
\(684\) 9205.26 + 20073.2i 0.514579 + 1.12210i
\(685\) 29374.1 1.63843
\(686\) −849.236 1470.92i −0.0472653 0.0818659i
\(687\) −20823.5 975.547i −1.15643 0.0541768i
\(688\) 3503.18 6067.69i 0.194124 0.336233i
\(689\) 19412.0 33622.6i 1.07335 1.85910i
\(690\) −16184.3 758.208i −0.892938 0.0418326i
\(691\) 4059.96 + 7032.05i 0.223514 + 0.387137i 0.955873 0.293782i \(-0.0949139\pi\)
−0.732359 + 0.680919i \(0.761581\pi\)
\(692\) −9629.38 −0.528980
\(693\) −2413.70 5263.36i −0.132307 0.288511i
\(694\) −16885.5 −0.923579
\(695\) 23553.6 + 40796.1i 1.28553 + 2.22660i
\(696\) 680.432 1060.60i 0.0370570 0.0577616i
\(697\) 4433.16 7678.45i 0.240915 0.417277i
\(698\) 14725.4 25505.1i 0.798515 1.38307i
\(699\) −13650.2 26426.7i −0.738623 1.42997i
\(700\) 7834.73 + 13570.1i 0.423035 + 0.732719i
\(701\) −15870.9 −0.855115 −0.427558 0.903988i \(-0.640626\pi\)
−0.427558 + 0.903988i \(0.640626\pi\)
\(702\) 53662.8 + 7586.46i 2.88515 + 0.407881i
\(703\) −4509.70 −0.241944
\(704\) −6177.43 10699.6i −0.330711 0.572808i
\(705\) −9158.77 17731.3i −0.489276 0.947234i
\(706\) −1316.42 + 2280.11i −0.0701760 + 0.121548i
\(707\) −4894.14 + 8476.90i −0.260344 + 0.450929i
\(708\) 194.959 303.887i 0.0103489 0.0161311i
\(709\) 7436.79 + 12880.9i 0.393928 + 0.682303i 0.992964 0.118419i \(-0.0377827\pi\)
−0.599036 + 0.800722i \(0.704449\pi\)
\(710\) −59707.5 −3.15603
\(711\) 4140.88 + 388.839i 0.218418 + 0.0205100i
\(712\) −4687.13 −0.246710
\(713\) −3598.93 6233.53i −0.189034 0.327416i
\(714\) 19249.4 + 901.803i 1.00895 + 0.0472677i
\(715\) −19287.7 + 33407.3i −1.00884 + 1.74736i
\(716\) 30561.9 52934.7i 1.59518 2.76294i
\(717\) 31763.4 + 1488.06i 1.65443 + 0.0775072i
\(718\) −18707.8 32402.9i −0.972382 1.68421i
\(719\) 31809.4 1.64992 0.824959 0.565192i \(-0.191198\pi\)
0.824959 + 0.565192i \(0.191198\pi\)
\(720\) −19360.7 + 27279.0i −1.00213 + 1.41198i
\(721\) −10134.3 −0.523468
\(722\) −10913.7 18903.0i −0.562554 0.974373i
\(723\) −1382.71 + 2155.27i −0.0711254 + 0.110865i
\(724\) −23731.4 + 41104.1i −1.21819 + 2.10997i
\(725\) −389.406 + 674.471i −0.0199478 + 0.0345506i
\(726\) −4633.21 8969.86i −0.236852 0.458544i
\(727\) −8385.91 14524.8i −0.427808 0.740984i 0.568870 0.822427i \(-0.307381\pi\)
−0.996678 + 0.0814427i \(0.974047\pi\)
\(728\) −23040.2 −1.17297
\(729\) 18911.6 + 5456.23i 0.960811 + 0.277205i
\(730\) 1859.21 0.0942638
\(731\) 4882.79 + 8457.24i 0.247054 + 0.427910i
\(732\) −24676.9 47774.4i −1.24602 2.41228i
\(733\) 15894.2 27529.5i 0.800906 1.38721i −0.118114 0.993000i \(-0.537685\pi\)
0.919020 0.394210i \(-0.128982\pi\)
\(734\) −24024.3 + 41611.3i −1.20811 + 2.09251i
\(735\) −2219.00 + 3458.81i −0.111359 + 0.173578i
\(736\) 830.537 + 1438.53i 0.0415951 + 0.0720448i
\(737\) 20791.0 1.03914
\(738\) −6412.56 + 9035.21i −0.319851 + 0.450665i
\(739\) −17098.2 −0.851107 −0.425553 0.904933i \(-0.639921\pi\)
−0.425553 + 0.904933i \(0.639921\pi\)
\(740\) −12144.1 21034.2i −0.603279 1.04491i
\(741\) 20046.7 + 939.154i 0.993838 + 0.0465596i
\(742\) −8625.27 + 14939.4i −0.426743 + 0.739141i
\(743\) 308.950 535.118i 0.0152548 0.0264220i −0.858297 0.513153i \(-0.828477\pi\)
0.873552 + 0.486731i \(0.161811\pi\)
\(744\) −40403.0 1892.81i −1.99092 0.0932712i
\(745\) 7944.78 + 13760.8i 0.390704 + 0.676719i
\(746\) −70.2888 −0.00344967
\(747\) 7585.92 + 712.338i 0.371559 + 0.0348903i
\(748\) −54152.6 −2.64708
\(749\) −3721.47 6445.78i −0.181548 0.314451i
\(750\) 2354.21 3669.56i 0.114618 0.178658i
\(751\) −13234.5 + 22922.8i −0.643053 + 1.11380i 0.341694 + 0.939811i \(0.388999\pi\)
−0.984747 + 0.173990i \(0.944334\pi\)
\(752\) −9133.26 + 15819.3i −0.442893 + 0.767114i
\(753\) 4433.64 + 8583.50i 0.214570 + 0.415405i
\(754\) −1110.18 1922.89i −0.0536212 0.0928746i
\(755\) −2096.02 −0.101036
\(756\) −16064.5 2271.09i −0.772833 0.109258i
\(757\) 40262.5 1.93311 0.966557 0.256453i \(-0.0825538\pi\)
0.966557 + 0.256453i \(0.0825538\pi\)
\(758\) −6484.21 11231.0i −0.310709 0.538163i
\(759\) 2850.32 + 5518.20i 0.136311 + 0.263897i
\(760\) −16856.8 + 29196.9i −0.804555 + 1.39353i
\(761\) −19445.6 + 33680.8i −0.926286 + 1.60438i −0.136807 + 0.990598i \(0.543684\pi\)
−0.789479 + 0.613777i \(0.789649\pi\)
\(762\) 20441.1 31862.0i 0.971790 1.51475i
\(763\) 6766.68 + 11720.2i 0.321062 + 0.556096i
\(764\) −4514.91 −0.213801
\(765\) −19435.2 42380.8i −0.918539 2.00298i
\(766\) 43027.5 2.02956
\(767\) −164.057 284.154i −0.00772326 0.0133771i
\(768\) −43333.8 2030.12i −2.03603 0.0953847i
\(769\) −13910.2 + 24093.2i −0.652296 + 1.12981i 0.330268 + 0.943887i \(0.392861\pi\)
−0.982564 + 0.185923i \(0.940473\pi\)
\(770\) 8570.03 14843.7i 0.401094 0.694715i
\(771\) 19577.9 + 917.193i 0.914504 + 0.0428429i
\(772\) −6973.93 12079.2i −0.325126 0.563135i