Properties

Label 63.4.f.b.43.1
Level $63$
Weight $4$
Character 63.43
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 43.1
Root \(2.62188 - 4.54123i\) of defining polynomial
Character \(\chi\) \(=\) 63.43
Dual form 63.4.f.b.22.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.62188 + 4.54123i) q^{2} +(-4.41799 - 2.73521i) q^{3} +(-9.74848 - 16.8849i) q^{4} +(2.03009 + 3.51621i) q^{5} +(24.0046 - 12.8917i) q^{6} +(3.50000 - 6.06218i) q^{7} +60.2873 q^{8} +(12.0372 + 24.1683i) q^{9} +O(q^{10})\) \(q+(-2.62188 + 4.54123i) q^{2} +(-4.41799 - 2.73521i) q^{3} +(-9.74848 - 16.8849i) q^{4} +(2.03009 + 3.51621i) q^{5} +(24.0046 - 12.8917i) q^{6} +(3.50000 - 6.06218i) q^{7} +60.2873 q^{8} +(12.0372 + 24.1683i) q^{9} -21.2906 q^{10} +(7.57508 - 13.1204i) q^{11} +(-3.11500 + 101.261i) q^{12} +(-24.2972 - 42.0840i) q^{13} +(18.3531 + 31.7886i) q^{14} +(0.648689 - 21.0873i) q^{15} +(-80.0780 + 138.699i) q^{16} +107.332 q^{17} +(-141.314 - 8.70243i) q^{18} +109.663 q^{19} +(39.5805 - 68.5555i) q^{20} +(-32.0443 + 17.2094i) q^{21} +(39.7219 + 68.8003i) q^{22} +(-92.3377 - 159.934i) q^{23} +(-266.348 - 164.898i) q^{24} +(54.2575 - 93.9767i) q^{25} +254.817 q^{26} +(12.9250 - 139.699i) q^{27} -136.479 q^{28} +(-47.0490 + 81.4912i) q^{29} +(94.0614 + 58.2342i) q^{30} +(-67.6261 - 117.132i) q^{31} +(-178.760 - 309.622i) q^{32} +(-69.3538 + 37.2464i) q^{33} +(-281.411 + 487.418i) q^{34} +28.4212 q^{35} +(290.733 - 438.851i) q^{36} -149.833 q^{37} +(-287.523 + 498.004i) q^{38} +(-7.76386 + 252.384i) q^{39} +(122.388 + 211.983i) q^{40} +(148.970 + 258.023i) q^{41} +(5.86451 - 190.641i) q^{42} +(193.371 - 334.929i) q^{43} -295.382 q^{44} +(-60.5441 + 91.3892i) q^{45} +968.393 q^{46} +(36.7525 - 63.6573i) q^{47} +(733.155 - 393.741i) q^{48} +(-24.5000 - 42.4352i) q^{49} +(284.513 + 492.791i) q^{50} +(-474.190 - 293.575i) q^{51} +(-473.722 + 820.510i) q^{52} -633.800 q^{53} +(600.519 + 424.970i) q^{54} +61.5123 q^{55} +(211.005 - 365.472i) q^{56} +(-484.490 - 299.951i) q^{57} +(-246.713 - 427.320i) q^{58} +(162.787 + 281.955i) q^{59} +(-362.380 + 194.616i) q^{60} +(34.7647 - 60.2142i) q^{61} +709.229 q^{62} +(188.643 + 11.6171i) q^{63} +593.502 q^{64} +(98.6508 - 170.868i) q^{65} +(12.6926 - 412.607i) q^{66} +(139.762 + 242.074i) q^{67} +(-1046.32 - 1812.28i) q^{68} +(-29.5053 + 959.148i) q^{69} +(-74.5169 + 129.067i) q^{70} +497.917 q^{71} +(725.692 + 1457.04i) q^{72} +457.155 q^{73} +(392.844 - 680.426i) q^{74} +(-496.755 + 266.782i) q^{75} +(-1069.05 - 1851.64i) q^{76} +(-53.0256 - 91.8430i) q^{77} +(-1125.78 - 696.979i) q^{78} +(548.381 - 949.824i) q^{79} -650.261 q^{80} +(-439.210 + 581.838i) q^{81} -1562.32 q^{82} +(-39.3239 + 68.1109i) q^{83} +(602.962 + 373.298i) q^{84} +(217.893 + 377.401i) q^{85} +(1013.99 + 1756.29i) q^{86} +(430.758 - 231.338i) q^{87} +(456.681 - 790.995i) q^{88} +292.702 q^{89} +(-256.279 - 514.556i) q^{90} -340.161 q^{91} +(-1800.31 + 3118.22i) q^{92} +(-21.6091 + 702.458i) q^{93} +(192.721 + 333.803i) q^{94} +(222.625 + 385.598i) q^{95} +(-57.1206 + 1856.85i) q^{96} +(-82.2477 + 142.457i) q^{97} +256.944 q^{98} +(408.281 + 25.1429i) 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 \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.62188 + 4.54123i −0.926974 + 1.60557i −0.138618 + 0.990346i \(0.544266\pi\)
−0.788356 + 0.615220i \(0.789067\pi\)
\(3\) −4.41799 2.73521i −0.850242 0.526392i
\(4\) −9.74848 16.8849i −1.21856 2.11061i
\(5\) 2.03009 + 3.51621i 0.181576 + 0.314500i 0.942418 0.334439i \(-0.108547\pi\)
−0.760841 + 0.648938i \(0.775213\pi\)
\(6\) 24.0046 12.8917i 1.63331 0.877168i
\(7\) 3.50000 6.06218i 0.188982 0.327327i
\(8\) 60.2873 2.66435
\(9\) 12.0372 + 24.1683i 0.445824 + 0.895121i
\(10\) −21.2906 −0.673266
\(11\) 7.57508 13.1204i 0.207634 0.359633i −0.743335 0.668920i \(-0.766757\pi\)
0.950969 + 0.309287i \(0.100090\pi\)
\(12\) −3.11500 + 101.261i −0.0749354 + 2.43597i
\(13\) −24.2972 42.0840i −0.518371 0.897846i −0.999772 0.0213450i \(-0.993205\pi\)
0.481401 0.876501i \(-0.340128\pi\)
\(14\) 18.3531 + 31.7886i 0.350363 + 0.606847i
\(15\) 0.648689 21.0873i 0.0111660 0.362981i
\(16\) −80.0780 + 138.699i −1.25122 + 2.16717i
\(17\) 107.332 1.53128 0.765641 0.643269i \(-0.222422\pi\)
0.765641 + 0.643269i \(0.222422\pi\)
\(18\) −141.314 8.70243i −1.85044 0.113955i
\(19\) 109.663 1.32413 0.662063 0.749448i \(-0.269681\pi\)
0.662063 + 0.749448i \(0.269681\pi\)
\(20\) 39.5805 68.5555i 0.442524 0.766474i
\(21\) −32.0443 + 17.2094i −0.332983 + 0.178828i
\(22\) 39.7219 + 68.8003i 0.384942 + 0.666740i
\(23\) −92.3377 159.934i −0.837119 1.44993i −0.892293 0.451456i \(-0.850905\pi\)
0.0551740 0.998477i \(-0.482429\pi\)
\(24\) −266.348 164.898i −2.26534 1.40249i
\(25\) 54.2575 93.9767i 0.434060 0.751814i
\(26\) 254.817 1.92207
\(27\) 12.9250 139.699i 0.0921262 0.995747i
\(28\) −136.479 −0.921145
\(29\) −47.0490 + 81.4912i −0.301268 + 0.521812i −0.976423 0.215864i \(-0.930743\pi\)
0.675155 + 0.737676i \(0.264077\pi\)
\(30\) 94.0614 + 58.2342i 0.572440 + 0.354402i
\(31\) −67.6261 117.132i −0.391806 0.678629i 0.600881 0.799338i \(-0.294816\pi\)
−0.992688 + 0.120709i \(0.961483\pi\)
\(32\) −178.760 309.622i −0.987520 1.71043i
\(33\) −69.3538 + 37.2464i −0.365847 + 0.196478i
\(34\) −281.411 + 487.418i −1.41946 + 2.45857i
\(35\) 28.4212 0.137259
\(36\) 290.733 438.851i 1.34599 2.03172i
\(37\) −149.833 −0.665741 −0.332870 0.942973i \(-0.608017\pi\)
−0.332870 + 0.942973i \(0.608017\pi\)
\(38\) −287.523 + 498.004i −1.22743 + 2.12597i
\(39\) −7.76386 + 252.384i −0.0318772 + 1.03625i
\(40\) 122.388 + 211.983i 0.483783 + 0.837936i
\(41\) 148.970 + 258.023i 0.567443 + 0.982840i 0.996818 + 0.0797135i \(0.0254005\pi\)
−0.429375 + 0.903126i \(0.641266\pi\)
\(42\) 5.86451 190.641i 0.0215456 0.700395i
\(43\) 193.371 334.929i 0.685787 1.18782i −0.287401 0.957810i \(-0.592791\pi\)
0.973189 0.230008i \(-0.0738753\pi\)
\(44\) −295.382 −1.01206
\(45\) −60.5441 + 91.3892i −0.200564 + 0.302744i
\(46\) 968.393 3.10395
\(47\) 36.7525 63.6573i 0.114062 0.197561i −0.803342 0.595517i \(-0.796947\pi\)
0.917404 + 0.397956i \(0.130280\pi\)
\(48\) 733.155 393.741i 2.20462 1.18399i
\(49\) −24.5000 42.4352i −0.0714286 0.123718i
\(50\) 284.513 + 492.791i 0.804724 + 1.39382i
\(51\) −474.190 293.575i −1.30196 0.806054i
\(52\) −473.722 + 820.510i −1.26333 + 2.18816i
\(53\) −633.800 −1.64262 −0.821312 0.570479i \(-0.806757\pi\)
−0.821312 + 0.570479i \(0.806757\pi\)
\(54\) 600.519 + 424.970i 1.51334 + 1.07095i
\(55\) 61.5123 0.150806
\(56\) 211.005 365.472i 0.503514 0.872112i
\(57\) −484.490 299.951i −1.12583 0.697009i
\(58\) −246.713 427.320i −0.558535 0.967412i
\(59\) 162.787 + 281.955i 0.359204 + 0.622160i 0.987828 0.155550i \(-0.0497149\pi\)
−0.628624 + 0.777709i \(0.716382\pi\)
\(60\) −362.380 + 194.616i −0.779718 + 0.418747i
\(61\) 34.7647 60.2142i 0.0729699 0.126388i −0.827232 0.561861i \(-0.810086\pi\)
0.900202 + 0.435473i \(0.143419\pi\)
\(62\) 709.229 1.45278
\(63\) 188.643 + 11.6171i 0.377250 + 0.0232319i
\(64\) 593.502 1.15918
\(65\) 98.6508 170.868i 0.188248 0.326055i
\(66\) 12.6926 412.607i 0.0236720 0.769521i
\(67\) 139.762 + 242.074i 0.254845 + 0.441404i 0.964853 0.262789i \(-0.0846423\pi\)
−0.710009 + 0.704193i \(0.751309\pi\)
\(68\) −1046.32 1812.28i −1.86596 3.23193i
\(69\) −29.5053 + 959.148i −0.0514786 + 1.67345i
\(70\) −74.5169 + 129.067i −0.127235 + 0.220378i
\(71\) 497.917 0.832280 0.416140 0.909301i \(-0.363383\pi\)
0.416140 + 0.909301i \(0.363383\pi\)
\(72\) 725.692 + 1457.04i 1.18783 + 2.38491i
\(73\) 457.155 0.732957 0.366479 0.930426i \(-0.380563\pi\)
0.366479 + 0.930426i \(0.380563\pi\)
\(74\) 392.844 680.426i 0.617124 1.06889i
\(75\) −496.755 + 266.782i −0.764805 + 0.410738i
\(76\) −1069.05 1851.64i −1.61353 2.79471i
\(77\) −53.0256 91.8430i −0.0784783 0.135928i
\(78\) −1125.78 696.979i −1.63422 1.01176i
\(79\) 548.381 949.824i 0.780984 1.35270i −0.150386 0.988627i \(-0.548052\pi\)
0.931369 0.364076i \(-0.118615\pi\)
\(80\) −650.261 −0.908767
\(81\) −439.210 + 581.838i −0.602483 + 0.798132i
\(82\) −1562.32 −2.10402
\(83\) −39.3239 + 68.1109i −0.0520043 + 0.0900740i −0.890856 0.454286i \(-0.849894\pi\)
0.838851 + 0.544360i \(0.183228\pi\)
\(84\) 602.962 + 373.298i 0.783196 + 0.484883i
\(85\) 217.893 + 377.401i 0.278045 + 0.481587i
\(86\) 1013.99 + 1756.29i 1.27141 + 2.20215i
\(87\) 430.758 231.338i 0.530828 0.285081i
\(88\) 456.681 790.995i 0.553209 0.958186i
\(89\) 292.702 0.348611 0.174305 0.984692i \(-0.444232\pi\)
0.174305 + 0.984692i \(0.444232\pi\)
\(90\) −256.279 514.556i −0.300158 0.602655i
\(91\) −340.161 −0.391852
\(92\) −1800.31 + 3118.22i −2.04016 + 3.53366i
\(93\) −21.6091 + 702.458i −0.0240941 + 0.783242i
\(94\) 192.721 + 333.803i 0.211465 + 0.366268i
\(95\) 222.625 + 385.598i 0.240430 + 0.416438i
\(96\) −57.1206 + 1856.85i −0.0607275 + 1.97411i
\(97\) −82.2477 + 142.457i −0.0860927 + 0.149117i −0.905856 0.423585i \(-0.860771\pi\)
0.819764 + 0.572702i \(0.194105\pi\)
\(98\) 256.944 0.264850
\(99\) 408.281 + 25.1429i 0.414483 + 0.0255248i
\(100\) −2115.71 −2.11571
\(101\) −4.68272 + 8.11072i −0.00461335 + 0.00799056i −0.868323 0.495999i \(-0.834802\pi\)
0.863710 + 0.503990i \(0.168135\pi\)
\(102\) 2576.46 1383.69i 2.50105 1.34319i
\(103\) −25.1731 43.6011i −0.0240814 0.0417101i 0.853734 0.520710i \(-0.174333\pi\)
−0.877815 + 0.479000i \(0.840999\pi\)
\(104\) −1464.81 2537.13i −1.38112 2.39217i
\(105\) −125.565 77.7380i −0.116703 0.0722520i
\(106\) 1661.74 2878.23i 1.52267 2.63734i
\(107\) −618.870 −0.559144 −0.279572 0.960125i \(-0.590193\pi\)
−0.279572 + 0.960125i \(0.590193\pi\)
\(108\) −2484.81 + 1143.62i −2.21389 + 1.01894i
\(109\) −112.976 −0.0992762 −0.0496381 0.998767i \(-0.515807\pi\)
−0.0496381 + 0.998767i \(0.515807\pi\)
\(110\) −161.278 + 279.341i −0.139793 + 0.242129i
\(111\) 661.961 + 409.825i 0.566041 + 0.350440i
\(112\) 560.546 + 970.894i 0.472916 + 0.819115i
\(113\) −661.322 1145.44i −0.550549 0.953578i −0.998235 0.0593874i \(-0.981085\pi\)
0.447686 0.894191i \(-0.352248\pi\)
\(114\) 2632.42 1413.74i 2.16271 1.16148i
\(115\) 374.907 649.358i 0.304002 0.526547i
\(116\) 1834.63 1.46845
\(117\) 724.625 1093.80i 0.572578 0.864286i
\(118\) −1707.23 −1.33189
\(119\) 375.661 650.664i 0.289385 0.501229i
\(120\) 39.1077 1271.30i 0.0297502 0.967108i
\(121\) 550.736 + 953.903i 0.413776 + 0.716682i
\(122\) 182.298 + 315.749i 0.135282 + 0.234316i
\(123\) 47.6014 1547.41i 0.0348949 1.13435i
\(124\) −1318.50 + 2283.71i −0.954880 + 1.65390i
\(125\) 948.111 0.678413
\(126\) −547.354 + 826.210i −0.387001 + 0.584164i
\(127\) 644.235 0.450131 0.225065 0.974344i \(-0.427740\pi\)
0.225065 + 0.974344i \(0.427740\pi\)
\(128\) −126.008 + 218.252i −0.0870125 + 0.150710i
\(129\) −1770.41 + 950.801i −1.20834 + 0.648941i
\(130\) 517.301 + 895.991i 0.349002 + 0.604489i
\(131\) −810.755 1404.27i −0.540733 0.936577i −0.998862 0.0476914i \(-0.984814\pi\)
0.458129 0.888886i \(-0.348520\pi\)
\(132\) 1305.00 + 807.933i 0.860494 + 0.532739i
\(133\) 383.820 664.796i 0.250236 0.433422i
\(134\) −1465.75 −0.944938
\(135\) 517.452 238.155i 0.329890 0.151831i
\(136\) 6470.74 4.07986
\(137\) −781.158 + 1353.01i −0.487145 + 0.843760i −0.999891 0.0147805i \(-0.995295\pi\)
0.512746 + 0.858541i \(0.328628\pi\)
\(138\) −4278.35 2648.76i −2.63911 1.63389i
\(139\) 1576.40 + 2730.40i 0.961930 + 1.66611i 0.717645 + 0.696409i \(0.245220\pi\)
0.244285 + 0.969703i \(0.421447\pi\)
\(140\) −277.064 479.888i −0.167258 0.289700i
\(141\) −336.488 + 180.711i −0.200975 + 0.107933i
\(142\) −1305.48 + 2261.15i −0.771501 + 1.33628i
\(143\) −736.213 −0.430526
\(144\) −4316.03 265.792i −2.49771 0.153815i
\(145\) −382.054 −0.218813
\(146\) −1198.60 + 2076.04i −0.679432 + 1.17681i
\(147\) −7.82867 + 254.491i −0.00439250 + 0.142790i
\(148\) 1460.65 + 2529.91i 0.811245 + 1.40512i
\(149\) −1046.83 1813.17i −0.575571 0.996918i −0.995979 0.0895830i \(-0.971447\pi\)
0.420409 0.907335i \(-0.361887\pi\)
\(150\) 90.9125 2955.35i 0.0494865 1.60869i
\(151\) −740.388 + 1282.39i −0.399019 + 0.691122i −0.993605 0.112910i \(-0.963983\pi\)
0.594586 + 0.804032i \(0.297316\pi\)
\(152\) 6611.28 3.52793
\(153\) 1291.98 + 2594.02i 0.682681 + 1.37068i
\(154\) 556.106 0.290989
\(155\) 274.574 475.575i 0.142286 0.246446i
\(156\) 4337.16 2329.27i 2.22597 1.19546i
\(157\) −330.730 572.840i −0.168122 0.291195i 0.769638 0.638481i \(-0.220437\pi\)
−0.937759 + 0.347286i \(0.887103\pi\)
\(158\) 2875.58 + 4980.64i 1.44790 + 2.50784i
\(159\) 2800.12 + 1733.58i 1.39663 + 0.864664i
\(160\) 725.798 1257.12i 0.358621 0.621150i
\(161\) −1292.73 −0.632803
\(162\) −1490.70 3520.06i −0.722967 1.70717i
\(163\) −1257.65 −0.604338 −0.302169 0.953254i \(-0.597711\pi\)
−0.302169 + 0.953254i \(0.597711\pi\)
\(164\) 2904.46 5030.67i 1.38293 2.39530i
\(165\) −271.761 168.249i −0.128221 0.0793829i
\(166\) −206.205 357.157i −0.0964132 0.166993i
\(167\) −177.970 308.253i −0.0824654 0.142834i 0.821843 0.569714i \(-0.192946\pi\)
−0.904308 + 0.426880i \(0.859613\pi\)
\(168\) −1931.86 + 1037.51i −0.887182 + 0.476461i
\(169\) −82.2071 + 142.387i −0.0374179 + 0.0648097i
\(170\) −2285.15 −1.03096
\(171\) 1320.04 + 2650.36i 0.590327 + 1.18525i
\(172\) −7540.31 −3.34269
\(173\) −816.664 + 1414.50i −0.358901 + 0.621634i −0.987777 0.155871i \(-0.950182\pi\)
0.628877 + 0.777505i \(0.283515\pi\)
\(174\) −78.8341 + 2562.71i −0.0343471 + 1.11654i
\(175\) −379.802 657.837i −0.164059 0.284159i
\(176\) 1213.19 + 2101.31i 0.519591 + 0.899958i
\(177\) 52.0165 1690.93i 0.0220893 0.718068i
\(178\) −767.429 + 1329.23i −0.323153 + 0.559717i
\(179\) −2250.77 −0.939836 −0.469918 0.882710i \(-0.655716\pi\)
−0.469918 + 0.882710i \(0.655716\pi\)
\(180\) 2133.31 + 131.374i 0.883374 + 0.0544003i
\(181\) −1518.02 −0.623388 −0.311694 0.950183i \(-0.600896\pi\)
−0.311694 + 0.950183i \(0.600896\pi\)
\(182\) 891.860 1544.75i 0.363236 0.629144i
\(183\) −318.289 + 170.937i −0.128571 + 0.0690493i
\(184\) −5566.79 9641.96i −2.23038 3.86312i
\(185\) −304.174 526.845i −0.120883 0.209375i
\(186\) −3133.37 1939.89i −1.23521 0.764730i
\(187\) 813.047 1408.24i 0.317946 0.550698i
\(188\) −1433.13 −0.555965
\(189\) −801.646 567.302i −0.308525 0.218334i
\(190\) −2334.79 −0.891490
\(191\) −241.003 + 417.429i −0.0913003 + 0.158137i −0.908059 0.418843i \(-0.862436\pi\)
0.816758 + 0.576980i \(0.195769\pi\)
\(192\) −2622.08 1623.35i −0.985587 0.610185i
\(193\) 2211.69 + 3830.75i 0.824874 + 1.42872i 0.902016 + 0.431703i \(0.142087\pi\)
−0.0771417 + 0.997020i \(0.524579\pi\)
\(194\) −431.287 747.011i −0.159611 0.276455i
\(195\) −903.199 + 485.063i −0.331689 + 0.178134i
\(196\) −477.676 + 827.359i −0.174080 + 0.301516i
\(197\) 1477.59 0.534387 0.267193 0.963643i \(-0.413904\pi\)
0.267193 + 0.963643i \(0.413904\pi\)
\(198\) −1184.64 + 1788.17i −0.425196 + 0.641818i
\(199\) −1981.16 −0.705731 −0.352866 0.935674i \(-0.614793\pi\)
−0.352866 + 0.935674i \(0.614793\pi\)
\(200\) 3271.04 5665.60i 1.15649 2.00309i
\(201\) 44.6591 1451.76i 0.0156717 0.509449i
\(202\) −24.5551 42.5306i −0.00855291 0.0148141i
\(203\) 329.343 + 570.439i 0.113869 + 0.197226i
\(204\) −334.339 + 10868.6i −0.114747 + 3.73015i
\(205\) −604.843 + 1047.62i −0.206069 + 0.356921i
\(206\) 264.003 0.0892912
\(207\) 2753.83 4156.80i 0.924658 1.39574i
\(208\) 7782.68 2.59438
\(209\) 830.706 1438.83i 0.274934 0.476199i
\(210\) 682.241 366.397i 0.224186 0.120399i
\(211\) −1074.92 1861.82i −0.350713 0.607454i 0.635661 0.771968i \(-0.280728\pi\)
−0.986375 + 0.164515i \(0.947394\pi\)
\(212\) 6178.58 + 10701.6i 2.00164 + 3.46694i
\(213\) −2199.79 1361.91i −0.707639 0.438105i
\(214\) 1622.60 2810.43i 0.518312 0.897743i
\(215\) 1570.24 0.498091
\(216\) 779.210 8422.10i 0.245456 2.65302i
\(217\) −946.765 −0.296178
\(218\) 296.208 513.048i 0.0920264 0.159394i
\(219\) −2019.70 1250.41i −0.623191 0.385823i
\(220\) −599.652 1038.63i −0.183766 0.318292i
\(221\) −2607.86 4516.95i −0.793772 1.37485i
\(222\) −3596.69 + 1931.60i −1.08736 + 0.583967i
\(223\) 2663.41 4613.16i 0.799798 1.38529i −0.119949 0.992780i \(-0.538273\pi\)
0.919747 0.392512i \(-0.128394\pi\)
\(224\) −2502.64 −0.746495
\(225\) 2924.36 + 180.089i 0.866478 + 0.0533598i
\(226\) 6935.63 2.04138
\(227\) 478.162 828.200i 0.139809 0.242157i −0.787615 0.616168i \(-0.788684\pi\)
0.927424 + 0.374011i \(0.122018\pi\)
\(228\) −341.601 + 11104.6i −0.0992239 + 3.22553i
\(229\) 2584.91 + 4477.19i 0.745920 + 1.29197i 0.949764 + 0.312967i \(0.101323\pi\)
−0.203844 + 0.979003i \(0.565344\pi\)
\(230\) 1965.92 + 3405.08i 0.563604 + 0.976191i
\(231\) −16.9437 + 550.797i −0.00482602 + 0.156882i
\(232\) −2836.46 + 4912.88i −0.802683 + 1.39029i
\(233\) −85.9011 −0.0241527 −0.0120763 0.999927i \(-0.503844\pi\)
−0.0120763 + 0.999927i \(0.503844\pi\)
\(234\) 3067.29 + 6158.49i 0.856903 + 1.72048i
\(235\) 298.443 0.0828438
\(236\) 3173.85 5497.27i 0.875424 1.51628i
\(237\) −5020.71 + 2696.37i −1.37608 + 0.739022i
\(238\) 1969.88 + 3411.92i 0.536504 + 0.929253i
\(239\) 571.124 + 989.216i 0.154573 + 0.267728i 0.932903 0.360127i \(-0.117266\pi\)
−0.778330 + 0.627855i \(0.783933\pi\)
\(240\) 2872.85 + 1778.60i 0.772672 + 0.478368i
\(241\) −2049.16 + 3549.26i −0.547711 + 0.948663i 0.450720 + 0.892665i \(0.351167\pi\)
−0.998431 + 0.0559975i \(0.982166\pi\)
\(242\) −5775.85 −1.53424
\(243\) 3531.87 1369.22i 0.932386 0.361464i
\(244\) −1355.61 −0.355673
\(245\) 99.4743 172.294i 0.0259395 0.0449285i
\(246\) 6902.32 + 4273.28i 1.78892 + 1.10754i
\(247\) −2664.50 4615.05i −0.686390 1.18886i
\(248\) −4076.99 7061.56i −1.04391 1.80810i
\(249\) 360.030 193.354i 0.0916305 0.0492101i
\(250\) −2485.83 + 4305.59i −0.628871 + 1.08924i
\(251\) 553.608 0.139217 0.0696085 0.997574i \(-0.477825\pi\)
0.0696085 + 0.997574i \(0.477825\pi\)
\(252\) −1642.83 3298.45i −0.410668 0.824536i
\(253\) −2797.86 −0.695258
\(254\) −1689.11 + 2925.62i −0.417259 + 0.722715i
\(255\) 69.6249 2263.34i 0.0170984 0.555826i
\(256\) 1713.25 + 2967.44i 0.418275 + 0.724474i
\(257\) −46.9236 81.2740i −0.0113892 0.0197266i 0.860275 0.509831i \(-0.170292\pi\)
−0.871664 + 0.490104i \(0.836959\pi\)
\(258\) 324.008 10532.7i 0.0781856 2.54162i
\(259\) −524.416 + 908.315i −0.125813 + 0.217915i
\(260\) −3846.78 −0.917567
\(261\) −2535.84 156.163i −0.601397 0.0370355i
\(262\) 8502.81 2.00498
\(263\) −1416.27 + 2453.06i −0.332058 + 0.575141i −0.982915 0.184059i \(-0.941076\pi\)
0.650857 + 0.759200i \(0.274410\pi\)
\(264\) −4181.15 + 2245.49i −0.974742 + 0.523485i
\(265\) −1286.67 2228.57i −0.298262 0.516605i
\(266\) 2012.66 + 3486.03i 0.463925 + 0.803542i
\(267\) −1293.15 800.602i −0.296404 0.183506i
\(268\) 2724.93 4719.71i 0.621088 1.07576i
\(269\) 6088.87 1.38009 0.690046 0.723766i \(-0.257590\pi\)
0.690046 + 0.723766i \(0.257590\pi\)
\(270\) −275.179 + 2974.28i −0.0620255 + 0.670403i
\(271\) 6849.73 1.53539 0.767697 0.640813i \(-0.221403\pi\)
0.767697 + 0.640813i \(0.221403\pi\)
\(272\) −8594.91 + 14886.8i −1.91597 + 3.31855i
\(273\) 1502.83 + 930.411i 0.333169 + 0.206268i
\(274\) −4096.20 7094.83i −0.903141 1.56429i
\(275\) −822.010 1423.76i −0.180251 0.312204i
\(276\) 16482.7 8852.04i 3.59472 1.93054i
\(277\) 917.822 1589.71i 0.199085 0.344826i −0.749147 0.662404i \(-0.769536\pi\)
0.948232 + 0.317578i \(0.102870\pi\)
\(278\) −16532.5 −3.56674
\(279\) 2016.84 3044.35i 0.432778 0.653263i
\(280\) 1713.44 0.365705
\(281\) 1140.37 1975.19i 0.242096 0.419323i −0.719215 0.694788i \(-0.755498\pi\)
0.961311 + 0.275465i \(0.0888317\pi\)
\(282\) 61.5817 2001.87i 0.0130040 0.422729i
\(283\) −2594.90 4494.50i −0.545055 0.944064i −0.998603 0.0528318i \(-0.983175\pi\)
0.453548 0.891232i \(-0.350158\pi\)
\(284\) −4853.93 8407.26i −1.01418 1.75662i
\(285\) 71.1371 2312.50i 0.0147853 0.480633i
\(286\) 1930.26 3343.31i 0.399086 0.691238i
\(287\) 2085.58 0.428946
\(288\) 5331.24 8047.32i 1.09079 1.64650i
\(289\) 6607.11 1.34482
\(290\) 1001.70 1734.99i 0.202834 0.351318i
\(291\) 753.020 404.409i 0.151694 0.0814670i
\(292\) −4456.56 7718.99i −0.893153 1.54699i
\(293\) 2602.41 + 4507.50i 0.518888 + 0.898740i 0.999759 + 0.0219489i \(0.00698712\pi\)
−0.480871 + 0.876791i \(0.659680\pi\)
\(294\) −1135.18 702.796i −0.225186 0.139415i
\(295\) −660.943 + 1144.79i −0.130446 + 0.225939i
\(296\) −9033.03 −1.77376
\(297\) −1735.01 1227.82i −0.338975 0.239883i
\(298\) 10978.7 2.13416
\(299\) −4487.09 + 7771.87i −0.867877 + 1.50321i
\(300\) 9347.20 + 5786.92i 1.79887 + 1.11369i
\(301\) −1353.60 2344.50i −0.259203 0.448953i
\(302\) −3882.41 6724.54i −0.739761 1.28130i
\(303\) 42.8727 23.0248i 0.00812863 0.00436548i
\(304\) −8781.59 + 15210.2i −1.65677 + 2.86961i
\(305\) 282.301 0.0529985
\(306\) −15167.4 934.047i −2.83355 0.174496i
\(307\) −8924.71 −1.65915 −0.829576 0.558393i \(-0.811418\pi\)
−0.829576 + 0.558393i \(0.811418\pi\)
\(308\) −1033.84 + 1790.66i −0.191261 + 0.331274i
\(309\) −8.04375 + 261.483i −0.00148088 + 0.0481400i
\(310\) 1439.80 + 2493.80i 0.263790 + 0.456898i
\(311\) 3100.59 + 5370.38i 0.565332 + 0.979184i 0.997019 + 0.0771600i \(0.0245852\pi\)
−0.431687 + 0.902024i \(0.642081\pi\)
\(312\) −468.062 + 15215.6i −0.0849320 + 2.76094i
\(313\) 3378.69 5852.06i 0.610143 1.05680i −0.381073 0.924545i \(-0.624445\pi\)
0.991216 0.132254i \(-0.0422213\pi\)
\(314\) 3468.53 0.623377
\(315\) 342.113 + 686.891i 0.0611933 + 0.122863i
\(316\) −21383.5 −3.80670
\(317\) −965.276 + 1671.91i −0.171026 + 0.296226i −0.938779 0.344520i \(-0.888042\pi\)
0.767753 + 0.640746i \(0.221375\pi\)
\(318\) −15214.1 + 8170.75i −2.68291 + 1.44086i
\(319\) 712.800 + 1234.61i 0.125107 + 0.216692i
\(320\) 1204.86 + 2086.88i 0.210480 + 0.364563i
\(321\) 2734.16 + 1692.74i 0.475408 + 0.294329i
\(322\) 3389.37 5870.57i 0.586591 1.01601i
\(323\) 11770.3 2.02761
\(324\) 14105.9 + 1743.96i 2.41871 + 0.299033i
\(325\) −5273.22 −0.900017
\(326\) 3297.41 5711.29i 0.560205 0.970304i
\(327\) 499.125 + 309.012i 0.0844088 + 0.0522582i
\(328\) 8980.98 + 15555.5i 1.51186 + 2.61863i
\(329\) −257.268 445.601i −0.0431113 0.0746710i
\(330\) 1476.58 792.997i 0.246312 0.132282i
\(331\) −3043.08 + 5270.77i −0.505325 + 0.875249i 0.494656 + 0.869089i \(0.335294\pi\)
−0.999981 + 0.00616017i \(0.998039\pi\)
\(332\) 1533.39 0.253481
\(333\) −1803.58 3621.21i −0.296803 0.595918i
\(334\) 1866.46 0.305773
\(335\) −567.456 + 982.863i −0.0925476 + 0.160297i
\(336\) 179.115 5822.61i 0.0290820 0.945385i
\(337\) 3963.89 + 6865.67i 0.640733 + 1.10978i 0.985269 + 0.171009i \(0.0547028\pi\)
−0.344536 + 0.938773i \(0.611964\pi\)
\(338\) −431.074 746.642i −0.0693708 0.120154i
\(339\) −211.317 + 6869.42i −0.0338560 + 1.10058i
\(340\) 4248.25 7358.18i 0.677628 1.17369i
\(341\) −2049.09 −0.325409
\(342\) −15496.9 954.334i −2.45022 0.150890i
\(343\) −343.000 −0.0539949
\(344\) 11657.8 20192.0i 1.82717 3.16476i
\(345\) −3432.47 + 1843.41i −0.535646 + 0.287669i
\(346\) −4282.39 7417.31i −0.665383 1.15248i
\(347\) 56.0635 + 97.1048i 0.00867333 + 0.0150227i 0.870329 0.492470i \(-0.163906\pi\)
−0.861656 + 0.507493i \(0.830572\pi\)
\(348\) −8105.35 5018.09i −1.24854 0.772982i
\(349\) −501.439 + 868.518i −0.0769095 + 0.133211i −0.901915 0.431913i \(-0.857839\pi\)
0.825006 + 0.565125i \(0.191172\pi\)
\(350\) 3983.18 0.608314
\(351\) −6193.15 + 2850.37i −0.941783 + 0.433452i
\(352\) −5416.49 −0.820171
\(353\) 702.900 1217.46i 0.105982 0.183566i −0.808157 0.588967i \(-0.799535\pi\)
0.914139 + 0.405401i \(0.132868\pi\)
\(354\) 7542.51 + 4669.63i 1.13243 + 0.701096i
\(355\) 1010.81 + 1750.78i 0.151122 + 0.261752i
\(356\) −2853.40 4942.24i −0.424803 0.735781i
\(357\) −3439.37 + 1847.11i −0.509890 + 0.273837i
\(358\) 5901.25 10221.3i 0.871203 1.50897i
\(359\) −3444.33 −0.506364 −0.253182 0.967419i \(-0.581477\pi\)
−0.253182 + 0.967419i \(0.581477\pi\)
\(360\) −3650.04 + 5509.60i −0.534372 + 0.806616i
\(361\) 5166.97 0.753312
\(362\) 3980.05 6893.65i 0.577864 1.00089i
\(363\) 175.981 5720.71i 0.0254452 0.827161i
\(364\) 3316.05 + 5743.57i 0.477495 + 0.827046i
\(365\) 928.063 + 1607.45i 0.133088 + 0.230515i
\(366\) 58.2509 1893.60i 0.00831919 0.270437i
\(367\) 1179.28 2042.57i 0.167733 0.290522i −0.769890 0.638177i \(-0.779689\pi\)
0.937622 + 0.347656i \(0.113022\pi\)
\(368\) 29576.9 4.18968
\(369\) −4442.79 + 6706.22i −0.626781 + 0.946103i
\(370\) 3190.03 0.448221
\(371\) −2218.30 + 3842.21i −0.310427 + 0.537675i
\(372\) 12071.6 6483.04i 1.68248 0.903575i
\(373\) 3771.74 + 6532.85i 0.523575 + 0.906859i 0.999623 + 0.0274397i \(0.00873542\pi\)
−0.476048 + 0.879419i \(0.657931\pi\)
\(374\) 4263.42 + 7384.46i 0.589455 + 1.02097i
\(375\) −4188.74 2593.29i −0.576816 0.357111i
\(376\) 2215.71 3837.72i 0.303900 0.526371i
\(377\) 4572.63 0.624675
\(378\) 4678.06 2153.06i 0.636544 0.292967i
\(379\) −11587.7 −1.57051 −0.785253 0.619175i \(-0.787467\pi\)
−0.785253 + 0.619175i \(0.787467\pi\)
\(380\) 4340.52 7518.00i 0.585958 1.01491i
\(381\) −2846.22 1762.12i −0.382720 0.236945i
\(382\) −1263.76 2188.90i −0.169266 0.293177i
\(383\) 6403.54 + 11091.3i 0.854322 + 1.47973i 0.877272 + 0.479993i \(0.159361\pi\)
−0.0229501 + 0.999737i \(0.507306\pi\)
\(384\) 1153.66 619.575i 0.153314 0.0823374i
\(385\) 215.293 372.899i 0.0284996 0.0493628i
\(386\) −23195.1 −3.05855
\(387\) 10422.3 + 641.830i 1.36898 + 0.0843051i
\(388\) 3207.16 0.419637
\(389\) −4105.23 + 7110.46i −0.535073 + 0.926773i 0.464087 + 0.885790i \(0.346382\pi\)
−0.999160 + 0.0409836i \(0.986951\pi\)
\(390\) 165.297 5373.40i 0.0214619 0.697674i
\(391\) −9910.77 17166.0i −1.28186 2.22025i
\(392\) −1477.04 2558.31i −0.190310 0.329627i
\(393\) −259.067 + 8421.63i −0.0332524 + 1.08095i
\(394\) −3874.07 + 6710.09i −0.495363 + 0.857993i
\(395\) 4453.05 0.567233
\(396\) −3555.59 7138.88i −0.451199 0.905914i
\(397\) −3076.35 −0.388911 −0.194455 0.980911i \(-0.562294\pi\)
−0.194455 + 0.980911i \(0.562294\pi\)
\(398\) 5194.35 8996.88i 0.654194 1.13310i
\(399\) −3514.07 + 1887.23i −0.440911 + 0.236792i
\(400\) 8689.66 + 15050.9i 1.08621 + 1.88137i
\(401\) 4381.71 + 7589.34i 0.545666 + 0.945122i 0.998565 + 0.0535595i \(0.0170567\pi\)
−0.452898 + 0.891562i \(0.649610\pi\)
\(402\) 6475.67 + 4009.14i 0.803426 + 0.497407i
\(403\) −3286.25 + 5691.95i −0.406203 + 0.703564i
\(404\) 182.598 0.0224866
\(405\) −2937.50 363.174i −0.360409 0.0445586i
\(406\) −3453.99 −0.422213
\(407\) −1135.00 + 1965.87i −0.138230 + 0.239422i
\(408\) −28587.7 17698.8i −3.46887 2.14761i
\(409\) −5187.79 8985.51i −0.627187 1.08632i −0.988114 0.153726i \(-0.950873\pi\)
0.360926 0.932594i \(-0.382461\pi\)
\(410\) −3171.65 5493.45i −0.382040 0.661713i
\(411\) 7151.91 3840.93i 0.858340 0.460971i
\(412\) −490.799 + 850.089i −0.0586892 + 0.101653i
\(413\) 2279.02 0.271533
\(414\) 11656.8 + 23404.4i 1.38381 + 2.77841i
\(415\) −319.323 −0.0377710
\(416\) −8686.74 + 15045.9i −1.02380 + 1.77328i
\(417\) 503.718 16374.7i 0.0591539 1.92295i
\(418\) 4356.02 + 7544.85i 0.509713 + 0.882848i
\(419\) −3764.22 6519.82i −0.438888 0.760176i 0.558716 0.829359i \(-0.311294\pi\)
−0.997604 + 0.0691827i \(0.977961\pi\)
\(420\) −88.5322 + 2877.97i −0.0102855 + 0.334358i
\(421\) 1030.66 1785.16i 0.119315 0.206659i −0.800182 0.599758i \(-0.795264\pi\)
0.919496 + 0.393099i \(0.128597\pi\)
\(422\) 11273.2 1.30041
\(423\) 1980.88 + 121.988i 0.227692 + 0.0140218i
\(424\) −38210.0 −4.37652
\(425\) 5823.55 10086.7i 0.664668 1.15124i
\(426\) 11952.3 6418.99i 1.35937 0.730049i
\(427\) −243.353 421.499i −0.0275800 0.0477700i
\(428\) 6033.04 + 10449.5i 0.681351 + 1.18013i
\(429\) 3252.58 + 2013.70i 0.366051 + 0.226625i
\(430\) −4116.98 + 7130.82i −0.461718 + 0.799718i
\(431\) −12831.0 −1.43398 −0.716991 0.697082i \(-0.754481\pi\)
−0.716991 + 0.697082i \(0.754481\pi\)
\(432\) 18341.2 + 12979.5i 2.04269 + 1.44555i
\(433\) 17079.1 1.89554 0.947769 0.318958i \(-0.103333\pi\)
0.947769 + 0.318958i \(0.103333\pi\)
\(434\) 2482.30 4299.47i 0.274549 0.475533i
\(435\) 1687.91 + 1045.00i 0.186044 + 0.115181i
\(436\) 1101.34 + 1907.58i 0.120974 + 0.209533i
\(437\) −10126.0 17538.8i −1.10845 1.91990i
\(438\) 10973.8 5893.49i 1.19715 0.642927i
\(439\) −5991.87 + 10378.2i −0.651427 + 1.12830i 0.331350 + 0.943508i \(0.392496\pi\)
−0.982777 + 0.184797i \(0.940837\pi\)
\(440\) 3708.41 0.401799
\(441\) 730.674 1102.93i 0.0788979 0.119094i
\(442\) 27350.0 2.94322
\(443\) −7338.91 + 12711.4i −0.787093 + 1.36328i 0.140648 + 0.990060i \(0.455081\pi\)
−0.927741 + 0.373225i \(0.878252\pi\)
\(444\) 466.731 15172.3i 0.0498875 1.62172i
\(445\) 594.211 + 1029.20i 0.0632995 + 0.109638i
\(446\) 13966.3 + 24190.3i 1.48278 + 2.56826i
\(447\) −334.503 + 10873.9i −0.0353947 + 1.15060i
\(448\) 2077.26 3597.91i 0.219065 0.379432i
\(449\) 13056.6 1.37234 0.686170 0.727441i \(-0.259290\pi\)
0.686170 + 0.727441i \(0.259290\pi\)
\(450\) −8485.15 + 12808.0i −0.888875 + 1.34172i
\(451\) 4513.83 0.471282
\(452\) −12893.8 + 22332.7i −1.34175 + 2.32398i
\(453\) 6778.63 3640.46i 0.703064 0.377580i
\(454\) 2507.36 + 4342.88i 0.259199 + 0.448946i
\(455\) −690.556 1196.08i −0.0711511 0.123237i
\(456\) −29208.6 18083.3i −2.99960 1.85707i
\(457\) 2542.06 4402.98i 0.260202 0.450684i −0.706093 0.708119i \(-0.749544\pi\)
0.966296 + 0.257435i \(0.0828773\pi\)
\(458\) −27109.3 −2.76579
\(459\) 1387.26 14994.2i 0.141071 1.52477i
\(460\) −14619.1 −1.48178
\(461\) 4505.66 7804.03i 0.455205 0.788438i −0.543495 0.839412i \(-0.682899\pi\)
0.998700 + 0.0509745i \(0.0162327\pi\)
\(462\) −2456.87 1521.07i −0.247411 0.153174i
\(463\) 6282.84 + 10882.2i 0.630644 + 1.09231i 0.987420 + 0.158118i \(0.0505425\pi\)
−0.356776 + 0.934190i \(0.616124\pi\)
\(464\) −7535.18 13051.3i −0.753905 1.30580i
\(465\) −2513.86 + 1350.07i −0.250704 + 0.134641i
\(466\) 225.222 390.096i 0.0223889 0.0387787i
\(467\) −12121.8 −1.20113 −0.600567 0.799575i \(-0.705058\pi\)
−0.600567 + 0.799575i \(0.705058\pi\)
\(468\) −25532.6 1572.36i −2.52189 0.155304i
\(469\) 1956.66 0.192645
\(470\) −782.482 + 1355.30i −0.0767940 + 0.133011i
\(471\) −105.680 + 3435.42i −0.0103386 + 0.336084i
\(472\) 9813.97 + 16998.3i 0.957044 + 1.65765i
\(473\) −2929.61 5074.23i −0.284785 0.493263i
\(474\) 918.854 29869.7i 0.0890388 2.89444i
\(475\) 5950.04 10305.8i 0.574750 0.995497i
\(476\) −14648.5 −1.41053
\(477\) −7629.19 15317.8i −0.732320 1.47035i
\(478\) −5989.67 −0.573140
\(479\) 16.2616 28.1659i 0.00155117 0.00268671i −0.865249 0.501343i \(-0.832840\pi\)
0.866800 + 0.498656i \(0.166173\pi\)
\(480\) −6645.05 + 3568.72i −0.631883 + 0.339352i
\(481\) 3640.52 + 6305.57i 0.345101 + 0.597732i
\(482\) −10745.3 18611.4i −1.01543 1.75877i
\(483\) 5711.26 + 3535.88i 0.538036 + 0.333102i
\(484\) 10737.7 18598.2i 1.00842 1.74664i
\(485\) −667.880 −0.0625296
\(486\) −3042.20 + 19629.0i −0.283944 + 1.83207i
\(487\) 2314.41 0.215351 0.107675 0.994186i \(-0.465659\pi\)
0.107675 + 0.994186i \(0.465659\pi\)
\(488\) 2095.87 3630.15i 0.194417 0.336740i
\(489\) 5556.30 + 3439.95i 0.513833 + 0.318118i
\(490\) 521.619 + 903.470i 0.0480905 + 0.0832951i
\(491\) 7131.80 + 12352.6i 0.655507 + 1.13537i 0.981767 + 0.190091i \(0.0608782\pi\)
−0.326260 + 0.945280i \(0.605788\pi\)
\(492\) −26591.8 + 14281.1i −2.43669 + 1.30862i
\(493\) −5049.85 + 8746.60i −0.461326 + 0.799041i
\(494\) 27944.0 2.54506
\(495\) 740.438 + 1486.65i 0.0672328 + 0.134989i
\(496\) 21661.4 1.96094
\(497\) 1742.71 3018.46i 0.157286 0.272427i
\(498\) −65.8901 + 2141.93i −0.00592893 + 0.192735i
\(499\) −1537.92 2663.75i −0.137969 0.238970i 0.788759 0.614703i \(-0.210724\pi\)
−0.926728 + 0.375733i \(0.877391\pi\)
\(500\) −9242.65 16008.7i −0.826688 1.43186i
\(501\) −56.8680 + 1848.64i −0.00507121 + 0.164853i
\(502\) −1451.49 + 2514.06i −0.129050 + 0.223522i
\(503\) 1297.38 0.115004 0.0575022 0.998345i \(-0.481686\pi\)
0.0575022 + 0.998345i \(0.481686\pi\)
\(504\) 11372.8 + 700.361i 1.00512 + 0.0618979i
\(505\) −38.0253 −0.00335070
\(506\) 7335.65 12705.7i 0.644485 1.11628i
\(507\) 752.648 404.210i 0.0659295 0.0354075i
\(508\) −6280.32 10877.8i −0.548512 0.950050i
\(509\) −10654.5 18454.1i −0.927800 1.60700i −0.786995 0.616960i \(-0.788364\pi\)
−0.140805 0.990037i \(-0.544969\pi\)
\(510\) 10095.8 + 6250.38i 0.876566 + 0.542689i
\(511\) 1600.04 2771.35i 0.138516 0.239917i
\(512\) −19983.9 −1.72495
\(513\) 1417.39 15319.9i 0.121987 1.31850i
\(514\) 492.111 0.0422298
\(515\) 102.207 177.028i 0.00874522 0.0151472i
\(516\) 33313.0 + 20624.3i 2.84210 + 1.75957i
\(517\) −556.807 964.418i −0.0473662 0.0820407i
\(518\) −2749.91 4762.98i −0.233251 0.404003i
\(519\) 7476.98 4015.51i 0.632376 0.339617i
\(520\) 5947.39 10301.2i 0.501558 0.868724i
\(521\) 21484.7 1.80664 0.903322 0.428962i \(-0.141121\pi\)
0.903322 + 0.428962i \(0.141121\pi\)
\(522\) 7357.84 11106.4i 0.616942 0.931252i
\(523\) 275.174 0.0230067 0.0115034 0.999934i \(-0.496338\pi\)
0.0115034 + 0.999934i \(0.496338\pi\)
\(524\) −15807.3 + 27379.0i −1.31783 + 2.28255i
\(525\) −121.361 + 3945.16i −0.0100888 + 0.327963i
\(526\) −7426.59 12863.2i −0.615618 1.06628i
\(527\) −7258.43 12572.0i −0.599966 1.03917i
\(528\) 387.661 12601.9i 0.0319522 1.03869i
\(529\) −10969.0 + 18998.9i −0.901537 + 1.56151i
\(530\) 13493.9 1.10592
\(531\) −4854.86 + 7328.23i −0.396766 + 0.598904i
\(532\) −14966.7 −1.21971
\(533\) 7239.09 12538.5i 0.588292 1.01895i
\(534\) 7026.21 3773.42i 0.569389 0.305790i
\(535\) −1256.36 2176.08i −0.101527 0.175851i
\(536\) 8425.85 + 14594.0i 0.678995 + 1.17605i
\(537\) 9943.88 + 6156.34i 0.799088 + 0.494722i
\(538\) −15964.3 + 27650.9i −1.27931 + 2.21583i
\(539\) −742.358 −0.0593240
\(540\) −9065.59 6415.46i −0.722446 0.511254i
\(541\) −4249.84 −0.337735 −0.168868 0.985639i \(-0.554011\pi\)
−0.168868 + 0.985639i \(0.554011\pi\)
\(542\) −17959.2 + 31106.2i −1.42327 + 2.46518i
\(543\) 6706.57 + 4152.09i 0.530031 + 0.328146i
\(544\) −19186.7 33232.3i −1.51217 2.61916i
\(545\) −229.350 397.247i −0.0180262 0.0312223i
\(546\) −8165.43 + 4385.25i −0.640015 + 0.343720i
\(547\) −1636.36 + 2834.25i −0.127908 + 0.221543i −0.922866 0.385122i \(-0.874159\pi\)
0.794958 + 0.606664i \(0.207493\pi\)
\(548\) 30460.4 2.37446
\(549\) 1873.74 + 115.390i 0.145664 + 0.00897032i
\(550\) 8620.84 0.668352
\(551\) −5159.53 + 8936.57i −0.398917 + 0.690945i
\(552\) −1778.80 + 57824.4i −0.137157 + 4.45864i
\(553\) −3838.67 6648.77i −0.295184 0.511274i
\(554\) 4812.84 + 8336.07i 0.369093 + 0.639289i
\(555\) −97.1950 + 3159.58i −0.00743369 + 0.241651i
\(556\) 30735.0 53234.5i 2.34434 4.06052i
\(557\) −12118.1 −0.921831 −0.460915 0.887444i \(-0.652479\pi\)
−0.460915 + 0.887444i \(0.652479\pi\)
\(558\) 8537.16 + 17140.8i 0.647682 + 1.30041i
\(559\) −18793.5 −1.42197
\(560\) −2275.91 + 3942.00i −0.171741 + 0.297464i
\(561\) −7443.86 + 3997.73i −0.560214 + 0.300863i
\(562\) 5979.84 + 10357.4i 0.448834 + 0.777403i
\(563\) 732.714 + 1269.10i 0.0548494 + 0.0950020i 0.892146 0.451746i \(-0.149199\pi\)
−0.837297 + 0.546748i \(0.815865\pi\)
\(564\) 6331.53 + 3919.90i 0.472705 + 0.292655i
\(565\) 2685.08 4650.70i 0.199933 0.346295i
\(566\) 27214.0 2.02101
\(567\) 1989.97 + 4699.00i 0.147391 + 0.348042i
\(568\) 30018.0 2.21748
\(569\) 1680.55 2910.80i 0.123818 0.214459i −0.797452 0.603382i \(-0.793819\pi\)
0.921270 + 0.388923i \(0.127153\pi\)
\(570\) 10315.1 + 6386.13i 0.757983 + 0.469273i
\(571\) −1816.88 3146.93i −0.133160 0.230639i 0.791733 0.610867i \(-0.209179\pi\)
−0.924893 + 0.380228i \(0.875846\pi\)
\(572\) 7176.96 + 12430.9i 0.524622 + 0.908672i
\(573\) 2206.50 1185.00i 0.160869 0.0863948i
\(574\) −5468.12 + 9471.07i −0.397622 + 0.688702i
\(575\) −20040.1 −1.45344
\(576\) 7144.12 + 14343.9i 0.516791 + 1.03761i
\(577\) 18168.7 1.31087 0.655437 0.755250i \(-0.272484\pi\)
0.655437 + 0.755250i \(0.272484\pi\)
\(578\) −17323.0 + 30004.4i −1.24661 + 2.15920i
\(579\) 706.716 22973.7i 0.0507256 1.64897i
\(580\) 3724.45 + 6450.93i 0.266637 + 0.461828i
\(581\) 275.267 + 476.776i 0.0196558 + 0.0340448i
\(582\) −137.812 + 4479.95i −0.00981530 + 0.319072i
\(583\) −4801.08 + 8315.72i −0.341064 + 0.590741i
\(584\) 27560.6 1.95285
\(585\) 5317.07 + 327.438i 0.375784 + 0.0231417i
\(586\) −27292.8 −1.92398
\(587\) 5458.16 9453.81i 0.383786 0.664736i −0.607814 0.794079i \(-0.707953\pi\)
0.991600 + 0.129343i \(0.0412868\pi\)
\(588\) 4373.37 2348.72i 0.306725 0.164727i
\(589\) −7416.08 12845.0i −0.518802 0.898591i
\(590\) −3465.82 6002.98i −0.241840 0.418879i
\(591\) −6527.99 4041.53i −0.454358 0.281297i
\(592\) 11998.3 20781.7i 0.832987 1.44278i
\(593\) −6098.18 −0.422298 −0.211149 0.977454i \(-0.567720\pi\)
−0.211149 + 0.977454i \(0.567720\pi\)
\(594\) 10124.8 4659.89i 0.699368 0.321881i
\(595\) 3050.50 0.210182
\(596\) −20410.1 + 35351.3i −1.40274 + 2.42961i
\(597\) 8752.73 + 5418.88i 0.600042 + 0.371491i
\(598\) −23529.2 40753.8i −1.60900 2.78687i
\(599\) 2249.19 + 3895.71i 0.153421 + 0.265733i 0.932483 0.361214i \(-0.117638\pi\)
−0.779062 + 0.626947i \(0.784304\pi\)
\(600\) −29948.0 + 16083.6i −2.03770 + 1.09435i
\(601\) −4664.46 + 8079.09i −0.316585 + 0.548341i −0.979773 0.200112i \(-0.935869\pi\)
0.663188 + 0.748452i \(0.269203\pi\)
\(602\) 14195.9 0.961098
\(603\) −4168.17 + 6291.70i −0.281494 + 0.424905i
\(604\) 28870.6 1.94492
\(605\) −2236.08 + 3873.01i −0.150264 + 0.260265i
\(606\) −7.84626 + 255.063i −0.000525961 + 0.0170977i
\(607\) −3658.99 6337.56i −0.244669 0.423779i 0.717370 0.696693i \(-0.245346\pi\)
−0.962038 + 0.272914i \(0.912013\pi\)
\(608\) −19603.4 33954.0i −1.30760 2.26483i
\(609\) 105.237 3421.01i 0.00700235 0.227630i
\(610\) −740.160 + 1281.99i −0.0491282 + 0.0850925i
\(611\) −3571.93 −0.236506
\(612\) 31204.9 47102.7i 2.06108 3.11113i
\(613\) 25150.6 1.65713 0.828566 0.559891i \(-0.189157\pi\)
0.828566 + 0.559891i \(0.189157\pi\)
\(614\) 23399.5 40529.1i 1.53799 2.66388i
\(615\) 5537.65 2973.99i 0.363089 0.194997i
\(616\) −3196.77 5536.96i −0.209093 0.362160i
\(617\) −7064.74 12236.5i −0.460966 0.798416i 0.538044 0.842917i \(-0.319164\pi\)
−0.999009 + 0.0445011i \(0.985830\pi\)
\(618\) −1166.36 722.105i −0.0759191 0.0470021i
\(619\) −8932.53 + 15471.6i −0.580014 + 1.00461i 0.415463 + 0.909610i \(0.363620\pi\)
−0.995477 + 0.0950038i \(0.969714\pi\)
\(620\) −10706.7 −0.693535
\(621\) −23536.1 + 10832.4i −1.52089 + 0.699982i
\(622\) −32517.4 −2.09619
\(623\) 1024.46 1774.41i 0.0658812 0.114110i
\(624\) −34383.8 21287.3i −2.20585 1.36566i
\(625\) −4857.44 8413.33i −0.310876 0.538453i
\(626\) 17717.0 + 30686.8i 1.13117 + 1.95925i
\(627\) −7605.54 + 4084.56i −0.484428 + 0.260162i
\(628\) −6448.22 + 11168.7i −0.409733 + 0.709678i
\(629\) −16081.8 −1.01944
\(630\) −4016.31 247.334i −0.253990 0.0156413i
\(631\) 8812.01 0.555944 0.277972 0.960589i \(-0.410338\pi\)
0.277972 + 0.960589i \(0.410338\pi\)
\(632\) 33060.4 57262.3i 2.08081 3.60407i
\(633\) −343.477 + 11165.6i −0.0215671 + 0.701095i
\(634\) −5061.67 8767.07i −0.317074 0.549188i
\(635\) 1307.85 + 2265.27i 0.0817332 + 0.141566i
\(636\) 1974.29 64179.4i 0.123091 4.00138i
\(637\) −1190.56 + 2062.11i −0.0740531 + 0.128264i
\(638\) −7475.50 −0.463884
\(639\) 5993.54 + 12033.8i 0.371050 + 0.744991i
\(640\) −1023.23 −0.0631977
\(641\) 4393.35 7609.51i 0.270713 0.468888i −0.698332 0.715774i \(-0.746074\pi\)
0.969045 + 0.246886i \(0.0794073\pi\)
\(642\) −14855.8 + 7978.28i −0.913255 + 0.490464i
\(643\) 2332.78 + 4040.49i 0.143073 + 0.247809i 0.928652 0.370951i \(-0.120968\pi\)
−0.785580 + 0.618761i \(0.787635\pi\)
\(644\) 12602.1 + 21827.5i 0.771108 + 1.33560i
\(645\) −6937.31 4294.94i −0.423498 0.262191i
\(646\) −30860.3 + 53451.7i −1.87954 + 3.25546i
\(647\) −6140.64 −0.373127 −0.186564 0.982443i \(-0.559735\pi\)
−0.186564 + 0.982443i \(0.559735\pi\)
\(648\) −26478.8 + 35077.4i −1.60522 + 2.12650i
\(649\) 4932.49 0.298332
\(650\) 13825.7 23946.9i 0.834292 1.44504i
\(651\) 4182.80 + 2589.60i 0.251823 + 0.155906i
\(652\) 12260.2 + 21235.3i 0.736422 + 1.27552i
\(653\) −13049.0 22601.5i −0.782000 1.35446i −0.930775 0.365593i \(-0.880866\pi\)
0.148775 0.988871i \(-0.452467\pi\)
\(654\) −2711.94 + 1456.45i −0.162149 + 0.0870819i
\(655\) 3291.81 5701.58i 0.196369 0.340121i
\(656\) −47716.8 −2.83998
\(657\) 5502.88 + 11048.6i 0.326770 + 0.656085i
\(658\) 2698.10 0.159852
\(659\) 1487.51 2576.45i 0.0879292 0.152298i −0.818706 0.574212i \(-0.805308\pi\)
0.906636 + 0.421914i \(0.138642\pi\)
\(660\) −191.611 + 6228.82i −0.0113007 + 0.367358i
\(661\) 9670.56 + 16749.9i 0.569048 + 0.985621i 0.996660 + 0.0816584i \(0.0260217\pi\)
−0.427612 + 0.903962i \(0.640645\pi\)
\(662\) −15957.2 27638.6i −0.936847 1.62267i
\(663\) −833.309 + 27088.9i −0.0488130 + 1.58679i
\(664\) −2370.73 + 4106.22i −0.138557 + 0.239988i
\(665\) 3116.75 0.181748
\(666\) 21173.5 + 1303.91i 1.23191 + 0.0758642i
\(667\) 17377.6 1.00879
\(668\) −3469.87 + 6009.99i −0.200978 + 0.348104i
\(669\) −24384.9 + 13095.9i −1.40923 + 0.756826i
\(670\) −2975.60 5153.90i −0.171578 0.297183i
\(671\) −526.691 912.255i −0.0303020 0.0524847i
\(672\) 11056.6 + 6845.26i 0.634702 + 0.392949i
\(673\) −9283.70 + 16079.8i −0.531739 + 0.920999i 0.467574 + 0.883954i \(0.345128\pi\)
−0.999314 + 0.0370455i \(0.988205\pi\)
\(674\) −41571.4 −2.37577
\(675\) −12427.2 8794.39i −0.708628 0.501476i
\(676\) 3205.58 0.182384
\(677\) −9936.68 + 17210.8i −0.564103 + 0.977055i 0.433030 + 0.901380i \(0.357445\pi\)
−0.997133 + 0.0756752i \(0.975889\pi\)
\(678\) −30641.5 18970.4i −1.73566 1.07456i
\(679\) 575.734 + 997.201i 0.0325400 + 0.0563609i
\(680\) 13136.2 + 22752.5i 0.740807 + 1.28312i
\(681\) −4377.82 + 2351.11i −0.246341 + 0.132297i
\(682\) 5372.47 9305.39i 0.301646 0.522466i
\(683\) 11761.6 0.658923 0.329461 0.944169i \(-0.393133\pi\)
0.329461 + 0.944169i \(0.393133\pi\)
\(684\) 31882.7 48125.7i 1.78226 2.69025i
\(685\) −6343.28 −0.353816
\(686\) 899.304 1557.64i 0.0500519 0.0866924i
\(687\) 825.975 26850.5i 0.0458703 1.49113i
\(688\) 30969.6 + 53640.9i 1.71614 + 2.97244i
\(689\) 15399.5 + 26672.8i 0.851489 + 1.47482i
\(690\) 628.185 20420.8i 0.0346588 1.12668i
\(691\) 10838.2 18772.2i 0.596676 1.03347i −0.396632 0.917978i \(-0.629821\pi\)
0.993308 0.115495i \(-0.0368455\pi\)
\(692\) 31845.0 1.74937
\(693\) 1581.40 2387.07i 0.0866848 0.130848i
\(694\) −587.966 −0.0321598
\(695\) −6400.45 + 11085.9i −0.349328 + 0.605054i
\(696\) 25969.2 13946.8i 1.41431 0.759555i
\(697\) 15989.2 + 27694.1i 0.868914 + 1.50500i
\(698\) −2629.42 4554.29i −0.142586 0.246966i
\(699\) 379.510 + 234.958i 0.0205356 + 0.0127138i
\(700\) −7405.00 + 12825.8i −0.399832 + 0.692530i
\(701\) 29579.8 1.59374 0.796870 0.604151i \(-0.206488\pi\)
0.796870 + 0.604151i \(0.206488\pi\)
\(702\) 3293.50 35597.8i 0.177073 1.91389i
\(703\) −16431.1 −0.881525
\(704\) 4495.83 7787.00i 0.240686 0.416880i
\(705\) −1318.52 816.306i −0.0704373 0.0436083i
\(706\) 3685.84 + 6384.06i 0.196485 + 0.340322i
\(707\) 32.7791 + 56.7750i 0.00174368 + 0.00302015i
\(708\) −29058.2 + 15605.7i −1.54248 + 0.828388i
\(709\) 10976.9 19012.6i 0.581448 1.00710i −0.413860 0.910340i \(-0.635820\pi\)
0.995308 0.0967567i \(-0.0308469\pi\)
\(710\) −10600.9 −0.560346
\(711\) 29556.6 + 1820.16i 1.55901 + 0.0960077i
\(712\) 17646.2 0.928820
\(713\) −12488.9 + 21631.4i −0.655978 + 1.13619i
\(714\) 629.449 20461.9i 0.0329923 1.07250i
\(715\) −1494.58 2588.68i −0.0781734 0.135400i
\(716\) 21941.6 + 38004.0i 1.14525 + 1.98363i
\(717\) 182.495 5932.49i 0.00950547 0.309000i
\(718\) 9030.61 15641.5i 0.469386 0.813001i
\(719\) −16886.2 −0.875869 −0.437935 0.899007i \(-0.644290\pi\)
−0.437935 + 0.899007i \(0.644290\pi\)
\(720\) −7827.35 15715.7i −0.405150 0.813457i
\(721\) −352.424 −0.0182038
\(722\) −13547.2 + 23464.4i −0.698301 + 1.20949i
\(723\) 18761.2 10075.7i 0.965055 0.518283i
\(724\) 14798.3 + 25631.5i 0.759636 + 1.31573i
\(725\) 5105.52 + 8843.02i 0.261537 + 0.452995i
\(726\) 25517.6 + 15798.2i 1.30447 + 0.807611i
\(727\) 17261.7 29898.2i 0.880609 1.52526i 0.0299429 0.999552i \(-0.490467\pi\)
0.850666 0.525707i \(-0.176199\pi\)
\(728\) −20507.4 −1.04403
\(729\) −19348.9 3611.22i −0.983026 0.183469i
\(730\) −9733.07 −0.493476
\(731\) 20754.9 35948.5i 1.05013 1.81888i
\(732\) 5989.08 + 3707.89i 0.302408 + 0.187223i
\(733\) −4744.05 8216.93i −0.239052 0.414051i 0.721390 0.692529i \(-0.243503\pi\)
−0.960443 + 0.278478i \(0.910170\pi\)
\(734\) 6183.85 + 10710.7i 0.310968 + 0.538612i
\(735\) −910.738 + 489.112i −0.0457049 + 0.0245458i
\(736\) −33012.6 + 57179.5i −1.65334 + 2.86368i
\(737\) 4234.82 0.211658
\(738\) −18806.0 37758.6i −0.938021 1.88335i
\(739\) 19240.5 0.957742 0.478871 0.877885i \(-0.341046\pi\)
0.478871 + 0.877885i \(0.341046\pi\)
\(740\) −5930.47 + 10271.9i −0.294606 + 0.510273i
\(741\) −851.408 + 27677.2i −0.0422095 + 1.37213i
\(742\) −11632.2 20147.6i −0.575515 0.996821i
\(743\) 7798.16 + 13506.8i 0.385043 + 0.666914i 0.991775 0.127992i \(-0.0408533\pi\)
−0.606732 + 0.794906i \(0.707520\pi\)
\(744\) −1302.75 + 42349.3i −0.0641951 + 2.08683i
\(745\) 4250.33 7361.79i 0.209020 0.362034i
\(746\) −39556.2 −1.94136
\(747\) −2119.47 130.522i −0.103812 0.00639298i
\(748\) −31703.9 −1.54975
\(749\) −2166.05 + 3751.70i −0.105668 + 0.183023i
\(750\) 22759.1 12222.8i 1.10806 0.595083i
\(751\) −6986.43 12100.9i −0.339466 0.587972i 0.644867 0.764295i \(-0.276913\pi\)
−0.984332 + 0.176323i \(0.943580\pi\)
\(752\) 5886.14 + 10195.1i 0.285433 + 0.494384i
\(753\) −2445.84 1514.24i −0.118368 0.0732827i
\(754\) −11988.9 + 20765.4i −0.579058 + 1.00296i
\(755\) −6012.21 −0.289810
\(756\) −1763.98 + 19066.0i −0.0848616 + 0.917228i
\(757\) −6110.89 −0.293400 −0.146700 0.989181i \(-0.546865\pi\)
−0.146700 + 0.989181i \(0.546865\pi\)
\(758\) 30381.6 52622.5i 1.45582 2.52155i
\(759\) 12360.9 + 7652.75i 0.591137 + 0.365978i
\(760\) 13421.5 + 23246.7i 0.640590 + 1.10953i
\(761\) −16491.7 28564.5i −0.785576 1.36066i −0.928654 0.370946i \(-0.879033\pi\)
0.143078 0.989711i \(-0.454300\pi\)
\(762\) 15464.6 8305.28i 0.735203 0.394841i
\(763\) −395.415 + 684.879i −0.0187614 + 0.0324958i
\(764\) 9397.65 0.445020
\(765\) −6498.31 + 9808.96i −0.307120 + 0.463587i
\(766\) −67157.2 −3.16774
\(767\) 7910.53 13701.4i 0.372402 0.645020i
\(768\) 547.449 17796.2i 0.0257218 0.836155i
\(769\) 8782.08 + 15211.0i 0.411820 + 0.713294i 0.995089 0.0989858i \(-0.0315598\pi\)
−0.583269 + 0.812279i \(0.698226\pi\)
\(770\) 1128.94 + 1955.39i 0.0528368 + 0.0915160i
\(771\) −14.9938 + 487.413i −0.000700376 + 0.0227675i
\(772\) 43121.2 74688.1i 2.01032 3.48197i