Properties

Label 63.4.f.b.22.1
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 22.1
Root \(2.62188 + 4.54123i\) of defining polynomial
Character \(\chi\) \(=\) 63.22
Dual form 63.4.f.b.43.1

$q$-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 \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.62188 4.54123i −0.926974 1.60557i −0.788356 0.615220i \(-0.789067\pi\)
−0.138618 0.990346i \(-0.544266\pi\)
\(3\) −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 −0.760841 0.648938i \(-0.775213\pi\)
0.942418 + 0.334439i \(0.108547\pi\)
\(6\) 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 0.950969 0.309287i \(-0.100090\pi\)
−0.743335 + 0.668920i \(0.766757\pi\)
\(12\) −3.11500 101.261i −0.0749354 2.43597i
\(13\) −24.2972 + 42.0840i −0.518371 + 0.897846i 0.481401 + 0.876501i \(0.340128\pi\)
−0.999772 + 0.0213450i \(0.993205\pi\)
\(14\) 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 0.0551740 + 0.998477i \(0.482429\pi\)
−0.892293 + 0.451456i \(0.850905\pi\)
\(24\) −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 0.675155 0.737676i \(-0.264077\pi\)
−0.976423 + 0.215864i \(0.930743\pi\)
\(30\) 94.0614 58.2342i 0.572440 0.354402i
\(31\) −67.6261 + 117.132i −0.391806 + 0.678629i −0.992688 0.120709i \(-0.961483\pi\)
0.600881 + 0.799338i \(0.294816\pi\)
\(32\) −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 −0.429375 0.903126i \(-0.641266\pi\)
0.996818 0.0797135i \(-0.0254005\pi\)
\(42\) 5.86451 + 190.641i 0.0215456 + 0.700395i
\(43\) 193.371 + 334.929i 0.685787 + 1.18782i 0.973189 + 0.230008i \(0.0738753\pi\)
−0.287401 + 0.957810i \(0.592791\pi\)
\(44\) −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 0.917404 0.397956i \(-0.130280\pi\)
−0.803342 + 0.595517i \(0.796947\pi\)
\(48\) 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 −0.628624 0.777709i \(-0.716382\pi\)
0.987828 + 0.155550i \(0.0497149\pi\)
\(60\) −362.380 194.616i −0.779718 0.418747i
\(61\) 34.7647 + 60.2142i 0.0729699 + 0.126388i 0.900202 0.435473i \(-0.143419\pi\)
−0.827232 + 0.561861i \(0.810086\pi\)
\(62\) 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 −0.710009 0.704193i \(-0.751309\pi\)
0.964853 + 0.262789i \(0.0846423\pi\)
\(68\) −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 0.931369 + 0.364076i \(0.118615\pi\)
−0.150386 + 0.988627i \(0.548052\pi\)
\(80\) −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 0.838851 0.544360i \(-0.183228\pi\)
−0.890856 + 0.454286i \(0.849894\pi\)
\(84\) 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 0.819764 0.572702i \(-0.194105\pi\)
−0.905856 + 0.423585i \(0.860771\pi\)
\(98\) 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 0.863710 0.503990i \(-0.168135\pi\)
−0.868323 + 0.495999i \(0.834802\pi\)
\(102\) 2576.46 + 1383.69i 2.50105 + 1.34319i
\(103\) −25.1731 + 43.6011i −0.0240814 + 0.0417101i −0.877815 0.479000i \(-0.840999\pi\)
0.853734 + 0.520710i \(0.174333\pi\)
\(104\) −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 0.447686 + 0.894191i \(0.352248\pi\)
−0.998235 + 0.0593874i \(0.981085\pi\)
\(114\) 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 0.458129 + 0.888886i \(0.348520\pi\)
−0.998862 + 0.0476914i \(0.984814\pi\)
\(132\) 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 0.512746 0.858541i \(-0.328628\pi\)
−0.999891 + 0.0147805i \(0.995295\pi\)
\(138\) −4278.35 + 2648.76i −2.63911 + 1.63389i
\(139\) 1576.40 2730.40i 0.961930 1.66611i 0.244285 0.969703i \(-0.421447\pi\)
0.717645 0.696409i \(-0.245220\pi\)
\(140\) −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 0.420409 + 0.907335i \(0.361887\pi\)
−0.995979 + 0.0895830i \(0.971447\pi\)
\(150\) 90.9125 + 2955.35i 0.0494865 + 1.60869i
\(151\) −740.388 1282.39i −0.399019 0.691122i 0.594586 0.804032i \(-0.297316\pi\)
−0.993605 + 0.112910i \(0.963983\pi\)
\(152\) 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 −0.937759 0.347286i \(-0.887103\pi\)
0.769638 + 0.638481i \(0.220437\pi\)
\(158\) 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 −0.904308 0.426880i \(-0.859613\pi\)
0.821843 + 0.569714i \(0.192946\pi\)
\(168\) −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 0.628877 0.777505i \(-0.283515\pi\)
−0.987777 + 0.155871i \(0.950182\pi\)
\(174\) −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 0.816758 0.576980i \(-0.195769\pi\)
−0.908059 + 0.418843i \(0.862436\pi\)
\(192\) −2622.08 + 1623.35i −0.985587 + 0.610185i
\(193\) 2211.69 3830.75i 0.824874 1.42872i −0.0771417 0.997020i \(-0.524579\pi\)
0.902016 0.431703i \(-0.142087\pi\)
\(194\) −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 −0.986375 0.164515i \(-0.947394\pi\)
0.635661 + 0.771968i \(0.280728\pi\)
\(212\) 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 0.919747 + 0.392512i \(0.128394\pi\)
−0.119949 + 0.992780i \(0.538273\pi\)
\(224\) −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 0.927424 0.374011i \(-0.122018\pi\)
−0.787615 + 0.616168i \(0.788684\pi\)
\(228\) −341.601 11104.6i −0.0992239 3.22553i
\(229\) 2584.91 4477.19i 0.745920 1.29197i −0.203844 0.979003i \(-0.565344\pi\)
0.949764 0.312967i \(-0.101323\pi\)
\(230\) 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 −0.778330 0.627855i \(-0.783933\pi\)
0.932903 + 0.360127i \(0.117266\pi\)
\(240\) 2872.85 1778.60i 0.772672 0.478368i
\(241\) −2049.16 3549.26i −0.547711 0.948663i −0.998431 0.0559975i \(-0.982166\pi\)
0.450720 0.892665i \(-0.351167\pi\)
\(242\) −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 −0.871664 0.490104i \(-0.836959\pi\)
0.860275 + 0.509831i \(0.170292\pi\)
\(258\) 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 0.650857 0.759200i \(-0.274410\pi\)
−0.982915 + 0.184059i \(0.941076\pi\)
\(264\) −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 0.948232 0.317578i \(-0.102870\pi\)
−0.749147 + 0.662404i \(0.769536\pi\)
\(278\) −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 0.961311 0.275465i \(-0.0888317\pi\)
−0.719215 + 0.694788i \(0.755498\pi\)
\(282\) 61.5817 + 2001.87i 0.0130040 + 0.422729i
\(283\) −2594.90 + 4494.50i −0.545055 + 0.944064i 0.453548 + 0.891232i \(0.350158\pi\)
−0.998603 + 0.0528318i \(0.983175\pi\)
\(284\) −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 −0.480871 0.876791i \(-0.659680\pi\)
0.999759 0.0219489i \(-0.00698712\pi\)
\(294\) −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 −0.431687 0.902024i \(-0.642081\pi\)
0.997019 0.0771600i \(-0.0245852\pi\)
\(312\) −468.062 15215.6i −0.0849320 2.76094i
\(313\) 3378.69 + 5852.06i 0.610143 + 1.05680i 0.991216 + 0.132254i \(0.0422213\pi\)
−0.381073 + 0.924545i \(0.624445\pi\)
\(314\) 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 0.767753 0.640746i \(-0.221375\pi\)
−0.938779 + 0.344520i \(0.888042\pi\)
\(318\) −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 −0.999981 0.00616017i \(-0.998039\pi\)
0.494656 0.869089i \(-0.335294\pi\)
\(332\) 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 −0.344536 0.938773i \(-0.611964\pi\)
0.985269 0.171009i \(-0.0547028\pi\)
\(338\) −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 −0.861656 0.507493i \(-0.830572\pi\)
0.870329 + 0.492470i \(0.163906\pi\)
\(348\) −8105.35 + 5018.09i −1.24854 + 0.772982i
\(349\) −501.439 868.518i −0.0769095 0.133211i 0.825006 0.565125i \(-0.191172\pi\)
−0.901915 + 0.431913i \(0.857839\pi\)
\(350\) 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 0.914139 0.405401i \(-0.132868\pi\)
−0.808157 + 0.588967i \(0.799535\pi\)
\(354\) 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 0.937622 0.347656i \(-0.113022\pi\)
−0.769890 + 0.638177i \(0.779689\pi\)
\(368\) 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 −0.476048 0.879419i \(-0.657931\pi\)
0.999623 0.0274397i \(-0.00873542\pi\)
\(374\) 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 −0.0229501 0.999737i \(-0.507306\pi\)
0.877272 0.479993i \(-0.159361\pi\)
\(384\) 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 −0.999160 0.0409836i \(-0.986951\pi\)
0.464087 0.885790i \(-0.346382\pi\)
\(390\) 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 −0.452898 0.891562i \(-0.649610\pi\)
0.998565 0.0535595i \(-0.0170567\pi\)
\(402\) 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 0.360926 + 0.932594i \(0.382461\pi\)
−0.988114 + 0.153726i \(0.950873\pi\)
\(410\) −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 −0.997604 0.0691827i \(-0.977961\pi\)
0.558716 + 0.829359i \(0.311294\pi\)
\(420\) −88.5322 2877.97i −0.0102855 0.334358i
\(421\) 1030.66 + 1785.16i 0.119315 + 0.206659i 0.919496 0.393099i \(-0.128597\pi\)
−0.800182 + 0.599758i \(0.795264\pi\)
\(422\) 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 −0.982777 0.184797i \(-0.940837\pi\)
0.331350 0.943508i \(-0.392496\pi\)
\(440\) 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 −0.927741 0.373225i \(-0.878252\pi\)
0.140648 0.990060i \(-0.455081\pi\)
\(444\) 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 0.966296 0.257435i \(-0.0828773\pi\)
−0.706093 + 0.708119i \(0.749544\pi\)
\(458\) −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 0.998700 0.0509745i \(-0.0162327\pi\)
−0.543495 + 0.839412i \(0.682899\pi\)
\(462\) −2456.87 + 1521.07i −0.247411 + 0.153174i
\(463\) 6282.84 10882.2i 0.630644 1.09231i −0.356776 0.934190i \(-0.616124\pi\)
0.987420 0.158118i \(-0.0505425\pi\)
\(464\) −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 0.866800 0.498656i \(-0.166173\pi\)
−0.865249 + 0.501343i \(0.832840\pi\)
\(480\) −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 −0.326260 0.945280i \(-0.605788\pi\)
0.981767 0.190091i \(-0.0608782\pi\)
\(492\) −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 −0.926728 0.375733i \(-0.877391\pi\)
0.788759 + 0.614703i \(0.210724\pi\)
\(500\) −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 −0.140805 + 0.990037i \(0.544969\pi\)
−0.786995 + 0.616960i \(0.788364\pi\)
\(510\) 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 0.794958 0.606664i \(-0.207493\pi\)
−0.922866 + 0.385122i \(0.874159\pi\)
\(548\) 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 −0.837297 0.546748i \(-0.815865\pi\)
0.892146 + 0.451746i \(0.149199\pi\)
\(564\) 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 0.921270 0.388923i \(-0.127153\pi\)
−0.797452 + 0.603382i \(0.793819\pi\)
\(570\) 10315.1 6386.13i 0.757983 0.469273i
\(571\) −1816.88 + 3146.93i −0.133160 + 0.230639i −0.924893 0.380228i \(-0.875846\pi\)
0.791733 + 0.610867i \(0.209179\pi\)
\(572\) 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 0.991600 0.129343i \(-0.0412868\pi\)
−0.607814 + 0.794079i \(0.707953\pi\)
\(588\) 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 −0.779062 0.626947i \(-0.784304\pi\)
0.932483 + 0.361214i \(0.117638\pi\)
\(600\) −29948.0 16083.6i −2.03770 1.09435i
\(601\) −4664.46 8079.09i −0.316585 0.548341i 0.663188 0.748452i \(-0.269203\pi\)
−0.979773 + 0.200112i \(0.935869\pi\)
\(602\) 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 −0.962038 0.272914i \(-0.912013\pi\)
0.717370 + 0.696693i \(0.245346\pi\)
\(608\) −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 −0.999009 0.0445011i \(-0.985830\pi\)
0.538044 + 0.842917i \(0.319164\pi\)
\(618\) −1166.36 + 722.105i −0.0759191 + 0.0470021i
\(619\) −8932.53 15471.6i −0.580014 1.00461i −0.995477 0.0950038i \(-0.969714\pi\)
0.415463 0.909610i \(-0.363620\pi\)
\(620\) −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 0.969045 0.246886i \(-0.0794073\pi\)
−0.698332 + 0.715774i \(0.746074\pi\)
\(642\) −14855.8 7978.28i −0.913255 0.490464i
\(643\) 2332.78 4040.49i 0.143073 0.247809i −0.785580 0.618761i \(-0.787635\pi\)
0.928652 + 0.370951i \(0.120968\pi\)
\(644\) 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 0.148775 + 0.988871i \(0.452467\pi\)
−0.930775 + 0.365593i \(0.880866\pi\)
\(654\) −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 0.906636 0.421914i \(-0.138642\pi\)
−0.818706 + 0.574212i \(0.805308\pi\)
\(660\) −191.611 6228.82i −0.0113007 0.367358i
\(661\) 9670.56 16749.9i 0.569048 0.985621i −0.427612 0.903962i \(-0.640645\pi\)
0.996660 0.0816584i \(-0.0260217\pi\)
\(662\) −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 −0.999314 0.0370455i \(-0.988205\pi\)
0.467574 0.883954i \(-0.345128\pi\)
\(674\) −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 −0.997133 0.0756752i \(-0.975889\pi\)
0.433030 0.901380i \(-0.357445\pi\)
\(678\) −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 0.993308 + 0.115495i \(0.0368455\pi\)
−0.396632 + 0.917978i \(0.629821\pi\)
\(692\) 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 0.995308 + 0.0967567i \(0.0308469\pi\)
−0.413860 + 0.910340i \(0.635820\pi\)
\(710\) −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 0.850666 + 0.525707i \(0.176199\pi\)
0.0299429 + 0.999552i \(0.490467\pi\)
\(728\) −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 −0.960443 0.278478i \(-0.910170\pi\)
0.721390 + 0.692529i \(0.243503\pi\)
\(734\) 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 −0.606732 0.794906i \(-0.707520\pi\)
0.991775 + 0.127992i \(0.0408533\pi\)
\(744\) −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 −0.984332 0.176323i \(-0.943580\pi\)
0.644867 + 0.764295i \(0.276913\pi\)
\(752\) 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 0.143078 + 0.989711i \(0.454300\pi\)
−0.928654 + 0.370946i \(0.879033\pi\)
\(762\) 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 −0.583269 0.812279i \(-0.698226\pi\)
0.995089 + 0.0989858i \(0.0315598\pi\)
\(770\) 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