Properties

Label 63.4.f.b.22.7
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 22.7
Root \(-1.96709 - 3.40709i\) of defining polynomial
Character \(\chi\) \(=\) 63.22
Dual form 63.4.f.b.43.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.96709 + 3.40709i) q^{2} +(1.35403 + 5.01663i) q^{3} +(-3.73885 + 6.47588i) q^{4} +(1.21571 - 2.10567i) q^{5} +(-14.4286 + 14.4814i) q^{6} +(3.50000 + 6.06218i) q^{7} +2.05480 q^{8} +(-23.3332 + 13.5853i) q^{9} +O(q^{10})\) \(q+(1.96709 + 3.40709i) q^{2} +(1.35403 + 5.01663i) q^{3} +(-3.73885 + 6.47588i) q^{4} +(1.21571 - 2.10567i) q^{5} +(-14.4286 + 14.4814i) q^{6} +(3.50000 + 6.06218i) q^{7} +2.05480 q^{8} +(-23.3332 + 13.5853i) q^{9} +9.56561 q^{10} +(-21.0862 - 36.5223i) q^{11} +(-37.5496 - 9.98793i) q^{12} +(19.7866 - 34.2714i) q^{13} +(-13.7696 + 23.8496i) q^{14} +(12.2095 + 3.24763i) q^{15} +(33.9528 + 58.8079i) q^{16} -2.07697 q^{17} +(-92.1849 - 52.7750i) q^{18} +96.1013 q^{19} +(9.09070 + 15.7456i) q^{20} +(-25.6726 + 25.7666i) q^{21} +(82.9566 - 143.685i) q^{22} +(-36.8754 + 63.8701i) q^{23} +(2.78225 + 10.3082i) q^{24} +(59.5441 + 103.133i) q^{25} +155.688 q^{26} +(-99.7463 - 98.6594i) q^{27} -52.3439 q^{28} +(-9.60379 - 16.6342i) q^{29} +(12.9521 + 47.9871i) q^{30} +(119.748 - 207.410i) q^{31} +(-125.357 + 217.124i) q^{32} +(154.668 - 155.234i) q^{33} +(-4.08557 - 7.07642i) q^{34} +17.0199 q^{35} +(-0.737407 - 201.897i) q^{36} -144.310 q^{37} +(189.039 + 327.426i) q^{38} +(198.718 + 52.8577i) q^{39} +(2.49803 - 4.32672i) q^{40} +(36.1409 - 62.5979i) q^{41} +(-138.289 - 36.7840i) q^{42} +(-240.274 - 416.167i) q^{43} +315.352 q^{44} +(0.239772 + 65.6478i) q^{45} -290.148 q^{46} +(-147.354 - 255.224i) q^{47} +(-249.045 + 249.956i) q^{48} +(-24.5000 + 42.4352i) q^{49} +(-234.257 + 405.745i) q^{50} +(-2.81227 - 10.4194i) q^{51} +(147.958 + 256.271i) q^{52} -627.210 q^{53} +(139.932 - 533.916i) q^{54} -102.538 q^{55} +(7.19179 + 12.4565i) q^{56} +(130.124 + 482.105i) q^{57} +(37.7829 - 65.4420i) q^{58} +(-74.8093 + 129.573i) q^{59} +(-66.6807 + 66.9246i) q^{60} +(315.358 + 546.216i) q^{61} +942.221 q^{62} +(-164.023 - 93.9016i) q^{63} -443.106 q^{64} +(-48.1094 - 83.3279i) q^{65} +(833.141 + 221.610i) q^{66} +(-2.02124 + 3.50089i) q^{67} +(7.76547 - 13.4502i) q^{68} +(-370.343 - 98.5087i) q^{69} +(33.4796 + 57.9884i) q^{70} -798.373 q^{71} +(-47.9450 + 27.9150i) q^{72} +444.022 q^{73} +(-283.871 - 491.679i) q^{74} +(-436.758 + 438.356i) q^{75} +(-359.309 + 622.341i) q^{76} +(147.603 - 255.656i) q^{77} +(210.805 + 781.027i) q^{78} +(287.769 + 498.431i) q^{79} +165.107 q^{80} +(359.879 - 633.978i) q^{81} +284.369 q^{82} +(-645.117 - 1117.38i) q^{83} +(-70.8751 - 262.590i) q^{84} +(-2.52498 + 4.37340i) q^{85} +(945.280 - 1637.27i) q^{86} +(70.4441 - 70.7019i) q^{87} +(-43.3278 - 75.0459i) q^{88} +750.701 q^{89} +(-223.196 + 129.952i) q^{90} +277.012 q^{91} +(-275.744 - 477.602i) q^{92} +(1202.64 + 319.895i) q^{93} +(579.714 - 1004.09i) q^{94} +(116.831 - 202.357i) q^{95} +(-1258.97 - 334.877i) q^{96} +(-209.774 - 363.339i) q^{97} -192.774 q^{98} +(988.175 + 565.721i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.96709 + 3.40709i 0.695470 + 1.20459i 0.970022 + 0.243017i \(0.0781371\pi\)
−0.274552 + 0.961572i \(0.588530\pi\)
\(3\) 1.35403 + 5.01663i 0.260583 + 0.965452i
\(4\) −3.73885 + 6.47588i −0.467357 + 0.809485i
\(5\) 1.21571 2.10567i 0.108736 0.188337i −0.806522 0.591204i \(-0.798653\pi\)
0.915259 + 0.402867i \(0.131986\pi\)
\(6\) −14.4286 + 14.4814i −0.981745 + 0.985337i
\(7\) 3.50000 + 6.06218i 0.188982 + 0.327327i
\(8\) 2.05480 0.0908100
\(9\) −23.3332 + 13.5853i −0.864193 + 0.503160i
\(10\) 9.56561 0.302491
\(11\) −21.0862 36.5223i −0.577975 1.00108i −0.995711 0.0925133i \(-0.970510\pi\)
0.417737 0.908568i \(-0.362823\pi\)
\(12\) −37.5496 9.98793i −0.903304 0.240272i
\(13\) 19.7866 34.2714i 0.422139 0.731166i −0.574009 0.818849i \(-0.694613\pi\)
0.996148 + 0.0876824i \(0.0279460\pi\)
\(14\) −13.7696 + 23.8496i −0.262863 + 0.455292i
\(15\) 12.2095 + 3.24763i 0.210165 + 0.0559023i
\(16\) 33.9528 + 58.8079i 0.530512 + 0.918874i
\(17\) −2.07697 −0.0296317 −0.0148158 0.999890i \(-0.504716\pi\)
−0.0148158 + 0.999890i \(0.504716\pi\)
\(18\) −92.1849 52.7750i −1.20712 0.691066i
\(19\) 96.1013 1.16038 0.580188 0.814483i \(-0.302979\pi\)
0.580188 + 0.814483i \(0.302979\pi\)
\(20\) 9.09070 + 15.7456i 0.101637 + 0.176041i
\(21\) −25.6726 + 25.7666i −0.266773 + 0.267749i
\(22\) 82.9566 143.685i 0.803928 1.39244i
\(23\) −36.8754 + 63.8701i −0.334307 + 0.579036i −0.983351 0.181714i \(-0.941836\pi\)
0.649045 + 0.760750i \(0.275169\pi\)
\(24\) 2.78225 + 10.3082i 0.0236635 + 0.0876727i
\(25\) 59.5441 + 103.133i 0.476353 + 0.825067i
\(26\) 155.688 1.17434
\(27\) −99.7463 98.6594i −0.710970 0.703222i
\(28\) −52.3439 −0.353288
\(29\) −9.60379 16.6342i −0.0614958 0.106514i 0.833638 0.552311i \(-0.186254\pi\)
−0.895134 + 0.445797i \(0.852920\pi\)
\(30\) 12.9521 + 47.9871i 0.0788239 + 0.292040i
\(31\) 119.748 207.410i 0.693788 1.20168i −0.276799 0.960928i \(-0.589274\pi\)
0.970587 0.240749i \(-0.0773930\pi\)
\(32\) −125.357 + 217.124i −0.692505 + 1.19945i
\(33\) 154.668 155.234i 0.815885 0.818871i
\(34\) −4.08557 7.07642i −0.0206079 0.0356940i
\(35\) 17.0199 0.0821968
\(36\) −0.737407 201.897i −0.00341392 0.934707i
\(37\) −144.310 −0.641202 −0.320601 0.947214i \(-0.603885\pi\)
−0.320601 + 0.947214i \(0.603885\pi\)
\(38\) 189.039 + 327.426i 0.807007 + 1.39778i
\(39\) 198.718 + 52.8577i 0.815908 + 0.217026i
\(40\) 2.49803 4.32672i 0.00987434 0.0171029i
\(41\) 36.1409 62.5979i 0.137665 0.238443i −0.788947 0.614461i \(-0.789374\pi\)
0.926612 + 0.376018i \(0.122707\pi\)
\(42\) −138.289 36.7840i −0.508060 0.135140i
\(43\) −240.274 416.167i −0.852128 1.47593i −0.879284 0.476297i \(-0.841979\pi\)
0.0271568 0.999631i \(-0.491355\pi\)
\(44\) 315.352 1.08048
\(45\) 0.239772 + 65.6478i 0.000794291 + 0.217471i
\(46\) −290.148 −0.930001
\(47\) −147.354 255.224i −0.457313 0.792090i 0.541505 0.840698i \(-0.317855\pi\)
−0.998818 + 0.0486079i \(0.984522\pi\)
\(48\) −249.045 + 249.956i −0.748886 + 0.751626i
\(49\) −24.5000 + 42.4352i −0.0714286 + 0.123718i
\(50\) −234.257 + 405.745i −0.662578 + 1.14762i
\(51\) −2.81227 10.4194i −0.00772150 0.0286079i
\(52\) 147.958 + 256.271i 0.394579 + 0.683431i
\(53\) −627.210 −1.62555 −0.812773 0.582580i \(-0.802043\pi\)
−0.812773 + 0.582580i \(0.802043\pi\)
\(54\) 139.932 533.916i 0.352636 1.34550i
\(55\) −102.538 −0.251387
\(56\) 7.19179 + 12.4565i 0.0171615 + 0.0297246i
\(57\) 130.124 + 482.105i 0.302374 + 1.12029i
\(58\) 37.7829 65.4420i 0.0855370 0.148154i
\(59\) −74.8093 + 129.573i −0.165074 + 0.285916i −0.936681 0.350183i \(-0.886119\pi\)
0.771608 + 0.636098i \(0.219453\pi\)
\(60\) −66.6807 + 66.9246i −0.143474 + 0.143999i
\(61\) 315.358 + 546.216i 0.661926 + 1.14649i 0.980109 + 0.198460i \(0.0635939\pi\)
−0.318183 + 0.948029i \(0.603073\pi\)
\(62\) 942.221 1.93004
\(63\) −164.023 93.9016i −0.328015 0.187785i
\(64\) −443.106 −0.865442
\(65\) −48.1094 83.3279i −0.0918036 0.159009i
\(66\) 833.141 + 221.610i 1.55383 + 0.413307i
\(67\) −2.02124 + 3.50089i −0.00368558 + 0.00638361i −0.867862 0.496805i \(-0.834506\pi\)
0.864177 + 0.503188i \(0.167840\pi\)
\(68\) 7.76547 13.4502i 0.0138486 0.0239864i
\(69\) −370.343 98.5087i −0.646146 0.171870i
\(70\) 33.4796 + 57.9884i 0.0571654 + 0.0990134i
\(71\) −798.373 −1.33450 −0.667249 0.744835i \(-0.732528\pi\)
−0.667249 + 0.744835i \(0.732528\pi\)
\(72\) −47.9450 + 27.9150i −0.0784774 + 0.0456919i
\(73\) 444.022 0.711902 0.355951 0.934505i \(-0.384157\pi\)
0.355951 + 0.934505i \(0.384157\pi\)
\(74\) −283.871 491.679i −0.445937 0.772386i
\(75\) −436.758 + 438.356i −0.672433 + 0.674894i
\(76\) −359.309 + 622.341i −0.542309 + 0.939308i
\(77\) 147.603 255.656i 0.218454 0.378373i
\(78\) 210.805 + 781.027i 0.306013 + 1.13377i
\(79\) 287.769 + 498.431i 0.409830 + 0.709847i 0.994870 0.101158i \(-0.0322547\pi\)
−0.585040 + 0.811004i \(0.698921\pi\)
\(80\) 165.107 0.230744
\(81\) 359.879 633.978i 0.493661 0.869655i
\(82\) 284.369 0.382967
\(83\) −645.117 1117.38i −0.853143 1.47769i −0.878358 0.478004i \(-0.841360\pi\)
0.0252150 0.999682i \(-0.491973\pi\)
\(84\) −70.8751 262.590i −0.0920608 0.341083i
\(85\) −2.52498 + 4.37340i −0.00322204 + 0.00558073i
\(86\) 945.280 1637.27i 1.18526 2.05293i
\(87\) 70.4441 70.7019i 0.0868092 0.0871269i
\(88\) −43.3278 75.0459i −0.0524859 0.0909082i
\(89\) 750.701 0.894091 0.447046 0.894511i \(-0.352476\pi\)
0.447046 + 0.894511i \(0.352476\pi\)
\(90\) −223.196 + 129.952i −0.261411 + 0.152201i
\(91\) 277.012 0.319107
\(92\) −275.744 477.602i −0.312481 0.541233i
\(93\) 1202.64 + 319.895i 1.34095 + 0.356683i
\(94\) 579.714 1004.09i 0.636095 1.10175i
\(95\) 116.831 202.357i 0.126175 0.218541i
\(96\) −1258.97 334.877i −1.33847 0.356024i
\(97\) −209.774 363.339i −0.219581 0.380325i 0.735099 0.677960i \(-0.237136\pi\)
−0.954680 + 0.297635i \(0.903802\pi\)
\(98\) −192.774 −0.198706
\(99\) 988.175 + 565.721i 1.00319 + 0.574314i
\(100\) −890.507 −0.890507
\(101\) −452.812 784.293i −0.446103 0.772674i 0.552025 0.833828i \(-0.313855\pi\)
−0.998128 + 0.0611539i \(0.980522\pi\)
\(102\) 29.9678 30.0775i 0.0290907 0.0291972i
\(103\) −1033.87 + 1790.71i −0.989030 + 1.71305i −0.366591 + 0.930382i \(0.619475\pi\)
−0.622439 + 0.782668i \(0.713858\pi\)
\(104\) 40.6574 70.4206i 0.0383345 0.0663972i
\(105\) 23.0454 + 85.3826i 0.0214191 + 0.0793571i
\(106\) −1233.78 2136.96i −1.13052 1.95812i
\(107\) 1728.25 1.56146 0.780730 0.624869i \(-0.214848\pi\)
0.780730 + 0.624869i \(0.214848\pi\)
\(108\) 1011.84 277.073i 0.901525 0.246864i
\(109\) 925.211 0.813020 0.406510 0.913646i \(-0.366746\pi\)
0.406510 + 0.913646i \(0.366746\pi\)
\(110\) −201.702 349.358i −0.174832 0.302818i
\(111\) −195.400 723.953i −0.167086 0.619050i
\(112\) −237.669 + 411.656i −0.200515 + 0.347302i
\(113\) −1093.61 + 1894.18i −0.910424 + 1.57690i −0.0969571 + 0.995289i \(0.530911\pi\)
−0.813467 + 0.581612i \(0.802422\pi\)
\(114\) −1386.61 + 1391.69i −1.13919 + 1.14336i
\(115\) 89.6595 + 155.295i 0.0727025 + 0.125924i
\(116\) 143.629 0.114962
\(117\) 3.90247 + 1068.47i 0.00308362 + 0.844273i
\(118\) −588.625 −0.459215
\(119\) −7.26938 12.5909i −0.00559986 0.00969924i
\(120\) 25.0880 + 6.67322i 0.0190851 + 0.00507649i
\(121\) −223.753 + 387.552i −0.168109 + 0.291174i
\(122\) −1240.67 + 2148.91i −0.920699 + 1.59470i
\(123\) 362.967 + 96.5465i 0.266078 + 0.0707748i
\(124\) 895.443 + 1550.95i 0.648493 + 1.12322i
\(125\) 593.480 0.424660
\(126\) −2.71575 743.553i −0.00192015 0.525722i
\(127\) 898.130 0.627529 0.313764 0.949501i \(-0.398410\pi\)
0.313764 + 0.949501i \(0.398410\pi\)
\(128\) 131.227 + 227.291i 0.0906165 + 0.156952i
\(129\) 1762.42 1768.87i 1.20289 1.20729i
\(130\) 189.271 327.826i 0.127693 0.221171i
\(131\) −1067.26 + 1848.56i −0.711812 + 1.23289i 0.252364 + 0.967632i \(0.418792\pi\)
−0.964176 + 0.265262i \(0.914541\pi\)
\(132\) 426.996 + 1582.01i 0.281554 + 1.04315i
\(133\) 336.355 + 582.583i 0.219290 + 0.379822i
\(134\) −15.9038 −0.0102528
\(135\) −329.006 + 90.0917i −0.209751 + 0.0574360i
\(136\) −4.26774 −0.00269085
\(137\) 1080.63 + 1871.71i 0.673901 + 1.16723i 0.976789 + 0.214205i \(0.0687160\pi\)
−0.302888 + 0.953026i \(0.597951\pi\)
\(138\) −392.869 1455.57i −0.242342 0.897871i
\(139\) −1150.08 + 1992.00i −0.701789 + 1.21553i 0.266049 + 0.963960i \(0.414282\pi\)
−0.967838 + 0.251575i \(0.919052\pi\)
\(140\) −63.6349 + 110.219i −0.0384152 + 0.0665371i
\(141\) 1080.84 1084.80i 0.645557 0.647919i
\(142\) −1570.47 2720.13i −0.928103 1.60752i
\(143\) −1668.89 −0.975943
\(144\) −1591.15 910.920i −0.920806 0.527153i
\(145\) −46.7016 −0.0267473
\(146\) 873.430 + 1512.82i 0.495107 + 0.857550i
\(147\) −246.056 65.4491i −0.138057 0.0367221i
\(148\) 539.556 934.538i 0.299670 0.519044i
\(149\) 591.768 1024.97i 0.325366 0.563551i −0.656220 0.754569i \(-0.727846\pi\)
0.981586 + 0.191019i \(0.0611791\pi\)
\(150\) −2352.66 625.791i −1.28063 0.340638i
\(151\) −1718.81 2977.06i −0.926322 1.60444i −0.789421 0.613852i \(-0.789619\pi\)
−0.136901 0.990585i \(-0.543714\pi\)
\(152\) 197.469 0.105374
\(153\) 48.4623 28.2162i 0.0256075 0.0149095i
\(154\) 1161.39 0.607712
\(155\) −291.158 504.300i −0.150880 0.261331i
\(156\) −1085.28 + 1089.25i −0.556999 + 0.559037i
\(157\) 10.4307 18.0665i 0.00530229 0.00918383i −0.863362 0.504585i \(-0.831646\pi\)
0.868664 + 0.495401i \(0.164979\pi\)
\(158\) −1132.13 + 1960.91i −0.570049 + 0.987354i
\(159\) −849.260 3146.49i −0.423589 1.56939i
\(160\) 304.795 + 527.920i 0.150601 + 0.260848i
\(161\) −516.256 −0.252712
\(162\) 2867.93 20.9500i 1.39090 0.0101604i
\(163\) −1654.46 −0.795015 −0.397507 0.917599i \(-0.630125\pi\)
−0.397507 + 0.917599i \(0.630125\pi\)
\(164\) 270.251 + 468.089i 0.128677 + 0.222876i
\(165\) −138.840 514.398i −0.0655071 0.242702i
\(166\) 2538.00 4395.95i 1.18667 2.05537i
\(167\) 980.611 1698.47i 0.454383 0.787014i −0.544270 0.838910i \(-0.683193\pi\)
0.998652 + 0.0518963i \(0.0165265\pi\)
\(168\) −52.7520 + 52.9450i −0.0242256 + 0.0243143i
\(169\) 315.483 + 546.433i 0.143597 + 0.248718i
\(170\) −19.8674 −0.00896331
\(171\) −2242.35 + 1305.57i −1.00279 + 0.583855i
\(172\) 3593.40 1.59299
\(173\) 13.6713 + 23.6794i 0.00600816 + 0.0104064i 0.869014 0.494788i \(-0.164754\pi\)
−0.863006 + 0.505194i \(0.831421\pi\)
\(174\) 379.458 + 100.933i 0.165325 + 0.0439754i
\(175\) −416.809 + 721.934i −0.180044 + 0.311846i
\(176\) 1431.87 2480.07i 0.613245 1.06217i
\(177\) −751.316 199.845i −0.319053 0.0848658i
\(178\) 1476.69 + 2557.71i 0.621813 + 1.07701i
\(179\) 130.832 0.0546302 0.0273151 0.999627i \(-0.491304\pi\)
0.0273151 + 0.999627i \(0.491304\pi\)
\(180\) −426.024 243.895i −0.176411 0.100994i
\(181\) 2460.11 1.01027 0.505134 0.863041i \(-0.331443\pi\)
0.505134 + 0.863041i \(0.331443\pi\)
\(182\) 544.906 + 943.806i 0.221929 + 0.384393i
\(183\) −2313.16 + 2321.63i −0.934393 + 0.937812i
\(184\) −75.7715 + 131.240i −0.0303584 + 0.0525823i
\(185\) −175.439 + 303.870i −0.0697219 + 0.120762i
\(186\) 1275.79 + 4726.78i 0.502934 + 1.86336i
\(187\) 43.7953 + 75.8556i 0.0171264 + 0.0296637i
\(188\) 2203.73 0.854914
\(189\) 248.978 949.988i 0.0958228 0.365616i
\(190\) 919.267 0.351003
\(191\) 654.703 + 1133.98i 0.248024 + 0.429591i 0.962978 0.269581i \(-0.0868853\pi\)
−0.714953 + 0.699172i \(0.753552\pi\)
\(192\) −599.978 2222.90i −0.225519 0.835543i
\(193\) −431.867 + 748.016i −0.161070 + 0.278981i −0.935253 0.353981i \(-0.884828\pi\)
0.774183 + 0.632962i \(0.218161\pi\)
\(194\) 825.287 1429.44i 0.305424 0.529009i
\(195\) 352.884 354.175i 0.129593 0.130067i
\(196\) −183.204 317.318i −0.0667652 0.115641i
\(197\) 2958.90 1.07012 0.535058 0.844815i \(-0.320290\pi\)
0.535058 + 0.844815i \(0.320290\pi\)
\(198\) 16.3614 + 4479.63i 0.00587249 + 1.60784i
\(199\) −1559.83 −0.555646 −0.277823 0.960632i \(-0.589613\pi\)
−0.277823 + 0.960632i \(0.589613\pi\)
\(200\) 122.351 + 211.918i 0.0432576 + 0.0749244i
\(201\) −20.2995 5.39952i −0.00712346 0.00189479i
\(202\) 1781.44 3085.54i 0.620503 1.07474i
\(203\) 67.2265 116.440i 0.0232432 0.0402585i
\(204\) 77.9893 + 20.7446i 0.0267664 + 0.00711967i
\(205\) −87.8736 152.202i −0.0299383 0.0518547i
\(206\) −8134.83 −2.75136
\(207\) −7.27288 1991.26i −0.00244203 0.668609i
\(208\) 2687.24 0.895800
\(209\) −2026.41 3509.84i −0.670668 1.16163i
\(210\) −245.574 + 246.473i −0.0806964 + 0.0809916i
\(211\) −1253.20 + 2170.60i −0.408880 + 0.708201i −0.994765 0.102194i \(-0.967414\pi\)
0.585885 + 0.810394i \(0.300747\pi\)
\(212\) 2345.05 4061.74i 0.759710 1.31586i
\(213\) −1081.02 4005.14i −0.347747 1.28839i
\(214\) 3399.61 + 5888.31i 1.08595 + 1.88092i
\(215\) −1168.41 −0.370628
\(216\) −204.958 202.725i −0.0645632 0.0638596i
\(217\) 1676.48 0.524455
\(218\) 1819.97 + 3152.28i 0.565431 + 0.979355i
\(219\) 601.218 + 2227.50i 0.185509 + 0.687307i
\(220\) 383.376 664.027i 0.117487 0.203494i
\(221\) −41.0961 + 71.1805i −0.0125087 + 0.0216657i
\(222\) 2082.20 2089.82i 0.629497 0.631801i
\(223\) −2024.21 3506.03i −0.607851 1.05283i −0.991594 0.129389i \(-0.958698\pi\)
0.383743 0.923440i \(-0.374635\pi\)
\(224\) −1755.00 −0.523485
\(225\) −2790.46 1597.51i −0.826802 0.473336i
\(226\) −8604.87 −2.53269
\(227\) 313.734 + 543.404i 0.0917325 + 0.158885i 0.908240 0.418449i \(-0.137426\pi\)
−0.816508 + 0.577335i \(0.804093\pi\)
\(228\) −3608.57 959.853i −1.04817 0.278806i
\(229\) 494.563 856.608i 0.142715 0.247189i −0.785803 0.618476i \(-0.787750\pi\)
0.928518 + 0.371288i \(0.121084\pi\)
\(230\) −352.736 + 610.956i −0.101125 + 0.175153i
\(231\) 1482.39 + 394.306i 0.422226 + 0.112309i
\(232\) −19.7338 34.1800i −0.00558444 0.00967253i
\(233\) −3125.53 −0.878799 −0.439399 0.898292i \(-0.644809\pi\)
−0.439399 + 0.898292i \(0.644809\pi\)
\(234\) −3632.69 + 2115.06i −1.01486 + 0.590881i
\(235\) −716.555 −0.198906
\(236\) −559.402 968.912i −0.154296 0.267249i
\(237\) −2110.80 + 2118.52i −0.578528 + 0.580645i
\(238\) 28.5990 49.5349i 0.00778907 0.0134911i
\(239\) 1512.51 2619.75i 0.409357 0.709027i −0.585461 0.810701i \(-0.699086\pi\)
0.994818 + 0.101674i \(0.0324197\pi\)
\(240\) 223.559 + 828.279i 0.0601277 + 0.222772i
\(241\) 2799.43 + 4848.75i 0.748245 + 1.29600i 0.948663 + 0.316288i \(0.102436\pi\)
−0.200419 + 0.979710i \(0.564230\pi\)
\(242\) −1760.57 −0.467659
\(243\) 3667.72 + 946.955i 0.968249 + 0.249989i
\(244\) −4716.31 −1.23742
\(245\) 59.5697 + 103.178i 0.0155337 + 0.0269052i
\(246\) 385.043 + 1426.58i 0.0997946 + 0.369736i
\(247\) 1901.52 3293.52i 0.489840 0.848428i
\(248\) 246.058 426.186i 0.0630029 0.109124i
\(249\) 4731.96 4749.27i 1.20432 1.20873i
\(250\) 1167.43 + 2022.04i 0.295338 + 0.511540i
\(251\) 2960.32 0.744438 0.372219 0.928145i \(-0.378597\pi\)
0.372219 + 0.928145i \(0.378597\pi\)
\(252\) 1221.35 711.109i 0.305310 0.177760i
\(253\) 3110.25 0.772883
\(254\) 1766.70 + 3060.01i 0.436427 + 0.755915i
\(255\) −25.3586 6.74522i −0.00622753 0.00165648i
\(256\) −2288.69 + 3964.13i −0.558763 + 0.967806i
\(257\) −2997.84 + 5192.41i −0.727627 + 1.26029i 0.230256 + 0.973130i \(0.426044\pi\)
−0.957884 + 0.287157i \(0.907290\pi\)
\(258\) 9493.54 + 2525.21i 2.29086 + 0.609352i
\(259\) −505.087 874.836i −0.121176 0.209883i
\(260\) 719.496 0.171620
\(261\) 450.069 + 257.660i 0.106738 + 0.0611064i
\(262\) −8397.61 −1.98017
\(263\) −891.843 1544.72i −0.209100 0.362172i 0.742331 0.670033i \(-0.233720\pi\)
−0.951431 + 0.307861i \(0.900387\pi\)
\(264\) 317.811 318.974i 0.0740906 0.0743617i
\(265\) −762.505 + 1320.70i −0.176756 + 0.306150i
\(266\) −1323.28 + 2291.98i −0.305020 + 0.528310i
\(267\) 1016.47 + 3765.99i 0.232985 + 0.863202i
\(268\) −15.1142 26.1786i −0.00344496 0.00596684i
\(269\) 6348.32 1.43890 0.719450 0.694545i \(-0.244394\pi\)
0.719450 + 0.694545i \(0.244394\pi\)
\(270\) −954.134 943.736i −0.215062 0.212718i
\(271\) −6712.35 −1.50460 −0.752299 0.658822i \(-0.771055\pi\)
−0.752299 + 0.658822i \(0.771055\pi\)
\(272\) −70.5188 122.142i −0.0157200 0.0272278i
\(273\) 375.082 + 1389.67i 0.0831538 + 0.308083i
\(274\) −4251.38 + 7363.61i −0.937356 + 1.62355i
\(275\) 2511.11 4349.38i 0.550640 0.953736i
\(276\) 2022.59 2029.99i 0.441107 0.442721i
\(277\) −1138.28 1971.56i −0.246905 0.427653i 0.715760 0.698346i \(-0.246080\pi\)
−0.962666 + 0.270693i \(0.912747\pi\)
\(278\) −9049.24 −1.95229
\(279\) 23.6178 + 6466.37i 0.00506795 + 1.38757i
\(280\) 34.9724 0.00746430
\(281\) 742.994 + 1286.90i 0.157734 + 0.273203i 0.934051 0.357139i \(-0.116248\pi\)
−0.776317 + 0.630343i \(0.782914\pi\)
\(282\) 5822.12 + 1548.64i 1.22944 + 0.327022i
\(283\) 4505.10 7803.06i 0.946291 1.63902i 0.193144 0.981170i \(-0.438132\pi\)
0.753146 0.657853i \(-0.228535\pi\)
\(284\) 2985.00 5170.17i 0.623687 1.08026i
\(285\) 1173.35 + 312.101i 0.243870 + 0.0648677i
\(286\) −3282.85 5686.07i −0.678739 1.17561i
\(287\) 505.973 0.104065
\(288\) −24.7239 6769.23i −0.00505858 1.38500i
\(289\) −4908.69 −0.999122
\(290\) −91.8660 159.117i −0.0186019 0.0322195i
\(291\) 1538.70 1544.33i 0.309966 0.311101i
\(292\) −1660.13 + 2875.44i −0.332712 + 0.576274i
\(293\) −3767.56 + 6525.60i −0.751205 + 1.30113i 0.196034 + 0.980597i \(0.437194\pi\)
−0.947239 + 0.320528i \(0.896140\pi\)
\(294\) −261.022 967.079i −0.0517792 0.191841i
\(295\) 181.892 + 315.047i 0.0358989 + 0.0621788i
\(296\) −296.529 −0.0582276
\(297\) −1500.00 + 5723.32i −0.293060 + 1.11818i
\(298\) 4656.24 0.905129
\(299\) 1459.28 + 2527.54i 0.282248 + 0.488868i
\(300\) −1205.77 4467.35i −0.232051 0.859741i
\(301\) 1681.92 2913.17i 0.322074 0.557848i
\(302\) 6762.09 11712.3i 1.28846 2.23167i
\(303\) 3321.39 3333.54i 0.629732 0.632036i
\(304\) 3262.91 + 5651.52i 0.615594 + 1.06624i
\(305\) 1533.53 0.287901
\(306\) 191.465 + 109.612i 0.0357690 + 0.0204774i
\(307\) 2765.48 0.514119 0.257059 0.966396i \(-0.417246\pi\)
0.257059 + 0.966396i \(0.417246\pi\)
\(308\) 1103.73 + 1911.72i 0.204192 + 0.353670i
\(309\) −10383.2 2761.87i −1.91159 0.508470i
\(310\) 1145.47 1984.00i 0.209865 0.363496i
\(311\) 1507.11 2610.39i 0.274792 0.475953i −0.695291 0.718728i \(-0.744724\pi\)
0.970083 + 0.242775i \(0.0780578\pi\)
\(312\) 408.326 + 108.612i 0.0740926 + 0.0197081i
\(313\) −1374.07 2379.96i −0.248138 0.429787i 0.714871 0.699256i \(-0.246485\pi\)
−0.963009 + 0.269469i \(0.913152\pi\)
\(314\) 82.0722 0.0147503
\(315\) −397.129 + 231.221i −0.0710340 + 0.0413581i
\(316\) −4303.71 −0.766147
\(317\) −1966.70 3406.42i −0.348457 0.603545i 0.637519 0.770435i \(-0.279961\pi\)
−0.985976 + 0.166890i \(0.946627\pi\)
\(318\) 9049.80 9082.91i 1.59587 1.60171i
\(319\) −405.014 + 701.505i −0.0710860 + 0.123125i
\(320\) −538.688 + 933.035i −0.0941049 + 0.162994i
\(321\) 2340.10 + 8669.99i 0.406889 + 1.50751i
\(322\) −1015.52 1758.93i −0.175754 0.304414i
\(323\) −199.599 −0.0343839
\(324\) 2760.04 + 4700.88i 0.473257 + 0.806050i
\(325\) 4712.70 0.804349
\(326\) −3254.47 5636.90i −0.552909 0.957666i
\(327\) 1252.76 + 4641.45i 0.211859 + 0.784931i
\(328\) 74.2622 128.626i 0.0125014 0.0216530i
\(329\) 1031.47 1786.57i 0.172848 0.299382i
\(330\) 1479.49 1484.91i 0.246798 0.247701i
\(331\) −2302.21 3987.55i −0.382299 0.662161i 0.609092 0.793100i \(-0.291534\pi\)
−0.991390 + 0.130939i \(0.958201\pi\)
\(332\) 9648.00 1.59489
\(333\) 3367.23 1960.50i 0.554123 0.322627i
\(334\) 7715.78 1.26404
\(335\) 4.91447 + 8.51211i 0.000801511 + 0.00138826i
\(336\) −2386.94 634.908i −0.387554 0.103087i
\(337\) −1386.37 + 2401.26i −0.224096 + 0.388146i −0.956048 0.293211i \(-0.905276\pi\)
0.731952 + 0.681356i \(0.238610\pi\)
\(338\) −1241.16 + 2149.76i −0.199735 + 0.345951i
\(339\) −10983.2 2921.45i −1.75966 0.468057i
\(340\) −18.8811 32.7030i −0.00301168 0.00521638i
\(341\) −10100.1 −1.60397
\(342\) −8859.08 5071.74i −1.40071 0.801896i
\(343\) −343.000 −0.0539949
\(344\) −493.715 855.139i −0.0773817 0.134029i
\(345\) −657.656 + 660.062i −0.102629 + 0.103004i
\(346\) −53.7854 + 93.1590i −0.00835699 + 0.0144747i
\(347\) −4211.45 + 7294.44i −0.651534 + 1.12849i 0.331217 + 0.943555i \(0.392541\pi\)
−0.982751 + 0.184935i \(0.940792\pi\)
\(348\) 194.477 + 720.532i 0.0299571 + 0.110990i
\(349\) 1939.99 + 3360.15i 0.297550 + 0.515372i 0.975575 0.219667i \(-0.0704971\pi\)
−0.678025 + 0.735039i \(0.737164\pi\)
\(350\) −3279.59 −0.500862
\(351\) −5354.83 + 1466.31i −0.814301 + 0.222980i
\(352\) 10573.2 1.60100
\(353\) −1962.36 3398.91i −0.295881 0.512481i 0.679308 0.733853i \(-0.262280\pi\)
−0.975190 + 0.221372i \(0.928947\pi\)
\(354\) −797.014 2952.92i −0.119663 0.443349i
\(355\) −970.588 + 1681.11i −0.145108 + 0.251335i
\(356\) −2806.76 + 4861.45i −0.417859 + 0.723754i
\(357\) 53.3212 53.5163i 0.00790492 0.00793385i
\(358\) 257.357 + 445.755i 0.0379937 + 0.0658069i
\(359\) 6623.52 0.973749 0.486874 0.873472i \(-0.338137\pi\)
0.486874 + 0.873472i \(0.338137\pi\)
\(360\) 0.492682 + 134.893i 7.21296e−5 + 0.0197485i
\(361\) 2376.46 0.346473
\(362\) 4839.24 + 8381.82i 0.702611 + 1.21696i
\(363\) −2247.17 597.732i −0.324920 0.0864265i
\(364\) −1035.71 + 1793.90i −0.149137 + 0.258313i
\(365\) 539.801 934.963i 0.0774095 0.134077i
\(366\) −12460.2 3314.32i −1.77952 0.473340i
\(367\) 4605.97 + 7977.77i 0.655122 + 1.13470i 0.981863 + 0.189590i \(0.0607159\pi\)
−0.326742 + 0.945114i \(0.605951\pi\)
\(368\) −5008.09 −0.709415
\(369\) 7.12801 + 1951.60i 0.00100561 + 0.275328i
\(370\) −1380.42 −0.193958
\(371\) −2195.24 3802.26i −0.307199 0.532085i
\(372\) −6568.11 + 6592.14i −0.915431 + 0.918781i
\(373\) 3763.16 6517.99i 0.522384 0.904796i −0.477277 0.878753i \(-0.658376\pi\)
0.999661 0.0260427i \(-0.00829058\pi\)
\(374\) −172.298 + 298.429i −0.0238217 + 0.0412604i
\(375\) 803.588 + 2977.27i 0.110659 + 0.409988i
\(376\) −302.781 524.433i −0.0415286 0.0719297i
\(377\) −760.104 −0.103839
\(378\) 3726.46 1020.42i 0.507059 0.138848i
\(379\) 9542.86 1.29336 0.646681 0.762761i \(-0.276157\pi\)
0.646681 + 0.762761i \(0.276157\pi\)
\(380\) 873.628 + 1513.17i 0.117937 + 0.204273i
\(381\) 1216.09 + 4505.59i 0.163523 + 0.605849i
\(382\) −2575.71 + 4461.27i −0.344987 + 0.597535i
\(383\) 1896.64 3285.08i 0.253039 0.438276i −0.711322 0.702866i \(-0.751903\pi\)
0.964361 + 0.264590i \(0.0852366\pi\)
\(384\) −962.553 + 966.075i −0.127917 + 0.128385i
\(385\) −358.885 621.607i −0.0475077 0.0822857i
\(386\) −3398.08 −0.448077
\(387\) 11260.1 + 6446.32i 1.47903 + 0.846731i
\(388\) 3137.26 0.410490
\(389\) 3089.58 + 5351.31i 0.402694 + 0.697486i 0.994050 0.108924i \(-0.0347406\pi\)
−0.591356 + 0.806411i \(0.701407\pi\)
\(390\) 1900.86 + 505.616i 0.246805 + 0.0656483i
\(391\) 76.5890 132.656i 0.00990607 0.0171578i
\(392\) −50.3425 + 87.1958i −0.00648643 + 0.0112348i
\(393\) −10718.6 2851.08i −1.37579 0.365949i
\(394\) 5820.41 + 10081.2i 0.744233 + 1.28905i
\(395\) 1399.37 0.178253
\(396\) −7358.19 + 4284.16i −0.933744 + 0.543654i
\(397\) 179.912 0.0227444 0.0113722 0.999935i \(-0.496380\pi\)
0.0113722 + 0.999935i \(0.496380\pi\)
\(398\) −3068.32 5314.49i −0.386435 0.669325i
\(399\) −2467.17 + 2476.20i −0.309557 + 0.310689i
\(400\) −4043.38 + 7003.33i −0.505422 + 0.875417i
\(401\) −3651.73 + 6324.98i −0.454760 + 0.787667i −0.998674 0.0514737i \(-0.983608\pi\)
0.543915 + 0.839140i \(0.316941\pi\)
\(402\) −21.5342 79.7835i −0.00267171 0.00989861i
\(403\) −4738.82 8207.87i −0.585750 1.01455i
\(404\) 6771.98 0.833957
\(405\) −897.440 1528.52i −0.110109 0.187537i
\(406\) 528.961 0.0646599
\(407\) 3042.95 + 5270.55i 0.370599 + 0.641896i
\(408\) −5.77864 21.4097i −0.000701189 0.00259789i
\(409\) 1055.98 1829.01i 0.127664 0.221121i −0.795107 0.606469i \(-0.792585\pi\)
0.922771 + 0.385348i \(0.125919\pi\)
\(410\) 345.710 598.787i 0.0416424 0.0721268i
\(411\) −7926.46 + 7955.47i −0.951298 + 0.954779i
\(412\) −7730.96 13390.4i −0.924459 1.60121i
\(413\) −1047.33 −0.124784
\(414\) 6770.10 3941.76i 0.803701 0.467939i
\(415\) −3137.10 −0.371070
\(416\) 4960.77 + 8592.30i 0.584667 + 1.01267i
\(417\) −11550.4 3072.32i −1.35641 0.360796i
\(418\) 7972.24 13808.3i 0.932859 1.61576i
\(419\) 2862.87 4958.63i 0.333795 0.578151i −0.649457 0.760398i \(-0.725004\pi\)
0.983253 + 0.182247i \(0.0583372\pi\)
\(420\) −639.091 169.994i −0.0742487 0.0197496i
\(421\) −2633.26 4560.94i −0.304839 0.527997i 0.672386 0.740200i \(-0.265269\pi\)
−0.977225 + 0.212204i \(0.931936\pi\)
\(422\) −9860.59 −1.13745
\(423\) 6905.53 + 3953.35i 0.793755 + 0.454417i
\(424\) −1288.79 −0.147616
\(425\) −123.671 214.205i −0.0141151 0.0244481i
\(426\) 11519.4 11561.6i 1.31014 1.31493i
\(427\) −2207.51 + 3823.51i −0.250184 + 0.433332i
\(428\) −6461.67 + 11191.9i −0.729758 + 1.26398i
\(429\) −2259.73 8372.22i −0.254314 0.942225i
\(430\) −2298.37 3980.89i −0.257761 0.446455i
\(431\) 15827.4 1.76886 0.884430 0.466672i \(-0.154547\pi\)
0.884430 + 0.466672i \(0.154547\pi\)
\(432\) 2415.29 9215.64i 0.268994 1.02636i
\(433\) 4537.27 0.503574 0.251787 0.967783i \(-0.418982\pi\)
0.251787 + 0.967783i \(0.418982\pi\)
\(434\) 3297.77 + 5711.91i 0.364742 + 0.631752i
\(435\) −63.2352 234.285i −0.00696988 0.0258232i
\(436\) −3459.23 + 5991.56i −0.379970 + 0.658128i
\(437\) −3543.78 + 6138.00i −0.387922 + 0.671900i
\(438\) −6406.64 + 6430.08i −0.698907 + 0.701464i
\(439\) −4463.41 7730.85i −0.485255 0.840486i 0.514601 0.857429i \(-0.327940\pi\)
−0.999856 + 0.0169432i \(0.994607\pi\)
\(440\) −210.696 −0.0228285
\(441\) −4.83209 1322.99i −0.000521768 0.142856i
\(442\) −323.358 −0.0347977
\(443\) 3222.48 + 5581.50i 0.345609 + 0.598612i 0.985464 0.169884i \(-0.0543392\pi\)
−0.639856 + 0.768495i \(0.721006\pi\)
\(444\) 5418.81 + 1441.36i 0.579201 + 0.154063i
\(445\) 912.632 1580.73i 0.0972201 0.168390i
\(446\) 7963.57 13793.3i 0.845484 1.46442i
\(447\) 5943.18 + 1580.84i 0.628866 + 0.167274i
\(448\) −1550.87 2686.19i −0.163553 0.283282i
\(449\) −6202.27 −0.651901 −0.325950 0.945387i \(-0.605684\pi\)
−0.325950 + 0.945387i \(0.605684\pi\)
\(450\) −46.2021 12649.8i −0.00483997 1.32515i
\(451\) −3048.29 −0.318267
\(452\) −8177.67 14164.1i −0.850985 1.47395i
\(453\) 12607.5 12653.7i 1.30762 1.31241i
\(454\) −1234.28 + 2137.84i −0.127594 + 0.221000i
\(455\) 336.766 583.295i 0.0346985 0.0600996i
\(456\) 267.378 + 990.627i 0.0274586 + 0.101733i
\(457\) 1550.46 + 2685.48i 0.158704 + 0.274883i 0.934402 0.356222i \(-0.115935\pi\)
−0.775698 + 0.631105i \(0.782602\pi\)
\(458\) 3891.39 0.397015
\(459\) 207.170 + 204.912i 0.0210672 + 0.0208376i
\(460\) −1340.89 −0.135912
\(461\) −2174.51 3766.36i −0.219690 0.380514i 0.735023 0.678042i \(-0.237171\pi\)
−0.954713 + 0.297528i \(0.903838\pi\)
\(462\) 1572.56 + 5826.28i 0.158359 + 0.586717i
\(463\) 3722.76 6448.00i 0.373674 0.647223i −0.616453 0.787391i \(-0.711431\pi\)
0.990128 + 0.140169i \(0.0447645\pi\)
\(464\) 652.151 1129.56i 0.0652486 0.113014i
\(465\) 2135.65 2143.47i 0.212986 0.213766i
\(466\) −6148.18 10649.0i −0.611178 1.05859i
\(467\) 15424.1 1.52836 0.764178 0.645006i \(-0.223145\pi\)
0.764178 + 0.645006i \(0.223145\pi\)
\(468\) −6933.86 3969.57i −0.684867 0.392080i
\(469\) −28.2973 −0.00278603
\(470\) −1409.53 2441.37i −0.138333 0.239600i
\(471\) 104.756 + 27.8644i 0.0102482 + 0.00272596i
\(472\) −153.718 + 266.247i −0.0149903 + 0.0259640i
\(473\) −10132.9 + 17550.8i −0.985016 + 1.70610i
\(474\) −11370.1 3024.37i −1.10179 0.293067i
\(475\) 5722.27 + 9911.25i 0.552749 + 0.957389i
\(476\) 108.717 0.0104685
\(477\) 14634.8 8520.85i 1.40479 0.817910i
\(478\) 11901.0 1.13878
\(479\) −4325.21 7491.49i −0.412576 0.714603i 0.582595 0.812763i \(-0.302038\pi\)
−0.995171 + 0.0981602i \(0.968704\pi\)
\(480\) −2235.68 + 2243.86i −0.212592 + 0.213370i
\(481\) −2855.41 + 4945.71i −0.270677 + 0.468826i
\(482\) −11013.4 + 19075.8i −1.04076 + 1.80265i
\(483\) −699.024 2589.87i −0.0658524 0.243981i
\(484\) −1673.16 2898.00i −0.157134 0.272164i
\(485\) −1020.10 −0.0955055
\(486\) 3988.36 + 14359.0i 0.372254 + 1.34020i
\(487\) −13668.2 −1.27179 −0.635897 0.771774i \(-0.719370\pi\)
−0.635897 + 0.771774i \(0.719370\pi\)
\(488\) 647.997 + 1122.36i 0.0601095 + 0.104113i
\(489\) −2240.18 8299.83i −0.207167 0.767548i
\(490\) −234.357 + 405.919i −0.0216065 + 0.0374236i
\(491\) 589.304 1020.70i 0.0541648 0.0938162i −0.837672 0.546174i \(-0.816084\pi\)
0.891836 + 0.452358i \(0.149417\pi\)
\(492\) −1982.30 + 1989.56i −0.181644 + 0.182309i
\(493\) 19.9467 + 34.5488i 0.00182222 + 0.00315618i
\(494\) 14961.8 1.36268
\(495\) 2392.55 1393.02i 0.217247 0.126488i
\(496\) 16263.2 1.47225
\(497\) −2794.30 4839.88i −0.252196 0.436817i
\(498\) 25489.4 + 6780.00i 2.29359 + 0.610078i
\(499\) 19.2536 33.3482i 0.00172727 0.00299173i −0.865160 0.501495i \(-0.832784\pi\)
0.866888 + 0.498503i \(0.166117\pi\)
\(500\) −2218.93 + 3843.31i −0.198467 + 0.343756i
\(501\) 9848.36 + 2619.59i 0.878228 + 0.233602i
\(502\) 5823.21 + 10086.1i 0.517734 + 0.896742i
\(503\) 4489.37 0.397954 0.198977 0.980004i \(-0.436238\pi\)
0.198977 + 0.980004i \(0.436238\pi\)
\(504\) −337.033 192.949i −0.0297870 0.0170528i
\(505\) −2201.95 −0.194030
\(506\) 6118.12 + 10596.9i 0.537517 + 0.931007i
\(507\) −2314.08 + 2322.55i −0.202706 + 0.203448i
\(508\) −3357.98 + 5816.19i −0.293280 + 0.507976i
\(509\) 6578.27 11393.9i 0.572842 0.992192i −0.423430 0.905929i \(-0.639174\pi\)
0.996272 0.0862632i \(-0.0274926\pi\)
\(510\) −26.9010 99.6677i −0.00233568 0.00865365i
\(511\) 1554.08 + 2691.74i 0.134537 + 0.233025i
\(512\) −15908.6 −1.37318
\(513\) −9585.75 9481.29i −0.824993 0.816002i
\(514\) −23588.0 −2.02417
\(515\) 2513.76 + 4353.97i 0.215087 + 0.372541i
\(516\) 4865.56 + 18026.8i 0.415105 + 1.53795i
\(517\) −6214.24 + 10763.4i −0.528631 + 0.915616i
\(518\) 1987.10 3441.75i 0.168548 0.291934i
\(519\) −100.280 + 100.647i −0.00848130 + 0.00851233i
\(520\) −98.8550 171.222i −0.00833669 0.0144396i
\(521\) 2198.40 0.184863 0.0924317 0.995719i \(-0.470536\pi\)
0.0924317 + 0.995719i \(0.470536\pi\)
\(522\) 7.45187 + 2040.27i 0.000624826 + 0.171073i
\(523\) −7784.24 −0.650824 −0.325412 0.945572i \(-0.605503\pi\)
−0.325412 + 0.945572i \(0.605503\pi\)
\(524\) −7980.69 13823.0i −0.665340 1.15240i
\(525\) −4186.05 1113.46i −0.347989 0.0925625i
\(526\) 3508.66 6077.18i 0.290846 0.503760i
\(527\) −248.713 + 430.784i −0.0205581 + 0.0356077i
\(528\) 14380.4 + 3825.08i 1.18528 + 0.315275i
\(529\) 3363.91 + 5826.46i 0.276478 + 0.478874i
\(530\) −5999.65 −0.491713
\(531\) −14.7545 4039.67i −0.00120582 0.330145i
\(532\) −5030.32 −0.409947
\(533\) −1430.21 2477.20i −0.116228 0.201312i
\(534\) −10831.6 + 10871.2i −0.877769 + 0.880981i
\(535\) 2101.05 3639.12i 0.169787 0.294080i
\(536\) −4.15323 + 7.19361i −0.000334687 + 0.000579695i
\(537\) 177.149 + 656.334i 0.0142357 + 0.0527428i
\(538\) 12487.7 + 21629.3i 1.00071 + 1.73328i
\(539\) 2066.44 0.165136
\(540\) 646.682 2467.45i 0.0515348 0.196633i
\(541\) −8493.26 −0.674961 −0.337480 0.941333i \(-0.609575\pi\)
−0.337480 + 0.941333i \(0.609575\pi\)
\(542\) −13203.8 22869.6i −1.04640 1.81242i
\(543\) 3331.05 + 12341.5i 0.263258 + 0.975364i
\(544\) 260.362 450.960i 0.0205201 0.0355418i
\(545\) 1124.79 1948.19i 0.0884047 0.153121i
\(546\) −3996.91 + 4011.53i −0.313282 + 0.314428i
\(547\) −3663.38 6345.16i −0.286352 0.495977i 0.686584 0.727051i \(-0.259109\pi\)
−0.972936 + 0.231074i \(0.925776\pi\)
\(548\) −16161.3 −1.25981
\(549\) −14778.8 8460.75i −1.14890 0.657734i
\(550\) 19758.3 1.53181
\(551\) −922.936 1598.57i −0.0713583 0.123596i
\(552\) −760.980 202.415i −0.0586765 0.0156075i
\(553\) −2014.39 + 3489.02i −0.154901 + 0.268297i
\(554\) 4478.20 7756.47i 0.343431 0.594839i
\(555\) −1761.95 468.667i −0.134758 0.0358447i
\(556\) −8599.97 14895.6i −0.655971 1.13618i
\(557\) 7394.34 0.562492 0.281246 0.959636i \(-0.409252\pi\)
0.281246 + 0.959636i \(0.409252\pi\)
\(558\) −21985.1 + 12800.4i −1.66792 + 0.971116i
\(559\) −19016.8 −1.43887
\(560\) 577.873 + 1000.91i 0.0436064 + 0.0755286i
\(561\) −321.240 + 322.415i −0.0241760 + 0.0242645i
\(562\) −2923.06 + 5062.90i −0.219399 + 0.380010i
\(563\) 1437.18 2489.27i 0.107584 0.186341i −0.807207 0.590269i \(-0.799022\pi\)
0.914791 + 0.403927i \(0.132355\pi\)
\(564\) 2983.91 + 11055.3i 0.222776 + 0.825378i
\(565\) 2659.01 + 4605.55i 0.197992 + 0.342932i
\(566\) 35447.6 2.63247
\(567\) 5102.86 37.2759i 0.377954 0.00276092i
\(568\) −1640.49 −0.121186
\(569\) −7864.92 13622.4i −0.579463 1.00366i −0.995541 0.0943307i \(-0.969929\pi\)
0.416078 0.909329i \(-0.363404\pi\)
\(570\) 1244.71 + 4611.63i 0.0914654 + 0.338877i
\(571\) 5659.53 9802.59i 0.414788 0.718434i −0.580618 0.814176i \(-0.697189\pi\)
0.995406 + 0.0957422i \(0.0305224\pi\)
\(572\) 6239.74 10807.6i 0.456113 0.790011i
\(573\) −4802.27 + 4819.84i −0.350118 + 0.351399i
\(574\) 995.292 + 1723.90i 0.0723740 + 0.125355i
\(575\) −8782.86 −0.636992
\(576\) 10339.1 6019.74i 0.747910 0.435456i
\(577\) 1090.45 0.0786758 0.0393379 0.999226i \(-0.487475\pi\)
0.0393379 + 0.999226i \(0.487475\pi\)
\(578\) −9655.81 16724.3i −0.694859 1.20353i
\(579\) −4337.28 1153.69i −0.311315 0.0828076i
\(580\) 174.610 302.434i 0.0125005 0.0216515i
\(581\) 4515.82 7821.63i 0.322458 0.558513i
\(582\) 8288.43 + 2204.66i 0.590321 + 0.157021i
\(583\) 13225.5 + 22907.2i 0.939525 + 1.62730i
\(584\) 912.375 0.0646478
\(585\) 2254.58 + 1290.73i 0.159343 + 0.0912222i
\(586\) −29644.4 −2.08976
\(587\) −13048.0 22599.8i −0.917458 1.58908i −0.803262 0.595626i \(-0.796904\pi\)
−0.114197 0.993458i \(-0.536429\pi\)
\(588\) 1343.81 1348.72i 0.0942477 0.0945926i
\(589\) 11508.0 19932.4i 0.805055 1.39440i
\(590\) −715.596 + 1239.45i −0.0499333 + 0.0864869i
\(591\) 4006.43 + 14843.7i 0.278853 + 1.03314i
\(592\) −4899.74 8486.60i −0.340166 0.589184i
\(593\) −2675.40 −0.185271 −0.0926354 0.995700i \(-0.529529\pi\)
−0.0926354 + 0.995700i \(0.529529\pi\)
\(594\) −22450.5 + 6147.61i −1.55077 + 0.424646i
\(595\) −35.3498 −0.00243563
\(596\) 4425.07 + 7664.45i 0.304124 + 0.526758i
\(597\) −2112.05 7825.10i −0.144792 0.536449i
\(598\) −5741.04 + 9943.78i −0.392590 + 0.679986i
\(599\) 2483.86 4302.18i 0.169429 0.293459i −0.768790 0.639501i \(-0.779141\pi\)
0.938219 + 0.346042i \(0.112474\pi\)
\(600\) −897.449 + 900.733i −0.0610637 + 0.0612871i
\(601\) 9440.30 + 16351.1i 0.640728 + 1.10977i 0.985270 + 0.171003i \(0.0547009\pi\)
−0.344542 + 0.938771i \(0.611966\pi\)
\(602\) 13233.9 0.895971
\(603\) −0.398645 109.146i −2.69222e−5 0.00737110i
\(604\) 25705.5 1.73169
\(605\) 544.037 + 942.300i 0.0365591 + 0.0633222i
\(606\) 17891.1 + 4758.92i 1.19930 + 0.319006i
\(607\) −11401.1 + 19747.2i −0.762364 + 1.32045i 0.179265 + 0.983801i \(0.442628\pi\)
−0.941629 + 0.336653i \(0.890705\pi\)
\(608\) −12047.0 + 20865.9i −0.803567 + 1.39182i
\(609\) 675.162 + 179.588i 0.0449244 + 0.0119496i
\(610\) 3016.59 + 5224.89i 0.200227 + 0.346803i
\(611\) −11662.5 −0.772199
\(612\) 1.53157 + 419.333i 0.000101160 + 0.0276969i
\(613\) −16589.5 −1.09306 −0.546529 0.837440i \(-0.684051\pi\)
−0.546529 + 0.837440i \(0.684051\pi\)
\(614\) 5439.94 + 9422.26i 0.357554 + 0.619302i
\(615\) 644.556 646.914i 0.0422618 0.0424164i
\(616\) 303.294 525.321i 0.0198378 0.0343601i
\(617\) −12595.3 + 21815.7i −0.821827 + 1.42345i 0.0824929 + 0.996592i \(0.473712\pi\)
−0.904320 + 0.426855i \(0.859622\pi\)
\(618\) −11014.8 40809.5i −0.716957 2.65631i
\(619\) −6076.11 10524.1i −0.394538 0.683361i 0.598504 0.801120i \(-0.295762\pi\)
−0.993042 + 0.117759i \(0.962429\pi\)
\(620\) 4354.39 0.282059
\(621\) 9979.57 2732.70i 0.644873 0.176586i
\(622\) 11858.4 0.764437
\(623\) 2627.45 + 4550.88i 0.168967 + 0.292660i
\(624\) 3638.59 + 13480.9i 0.233430 + 0.864851i
\(625\) −6721.52 + 11642.0i −0.430177 + 0.745088i
\(626\) 5405.83 9363.17i 0.345144 0.597808i
\(627\) 14863.8 14918.2i 0.946734 0.950198i
\(628\) 77.9976 + 135.096i 0.00495612 + 0.00858425i
\(629\) 299.728 0.0189999
\(630\) −1568.98 898.225i −0.0992216 0.0568034i
\(631\) 13761.8 0.868224 0.434112 0.900859i \(-0.357062\pi\)
0.434112 + 0.900859i \(0.357062\pi\)
\(632\) 591.307 + 1024.17i 0.0372167 + 0.0644612i
\(633\) −12586.0 3347.78i −0.790281 0.210209i
\(634\) 7737.33 13401.4i 0.484682 0.839494i
\(635\) 1091.86 1891.16i 0.0682351 0.118187i
\(636\) 23551.5 + 6264.54i 1.46836 + 0.390574i
\(637\) 969.542 + 1679.30i 0.0603056 + 0.104452i
\(638\) −3186.79 −0.197753
\(639\) 18628.6 10846.1i 1.15326 0.671466i
\(640\) 638.133 0.0394132
\(641\) 191.189 + 331.149i 0.0117808 + 0.0204050i 0.871856 0.489763i \(-0.162917\pi\)
−0.860075 + 0.510168i \(0.829583\pi\)
\(642\) −24936.3 + 25027.5i −1.53296 + 1.53856i
\(643\) 4008.98 6943.76i 0.245877 0.425871i −0.716501 0.697586i \(-0.754257\pi\)
0.962378 + 0.271715i \(0.0875908\pi\)
\(644\) 1930.20 3343.21i 0.118107 0.204567i
\(645\) −1582.06 5861.50i −0.0965793 0.357824i
\(646\) −392.629 680.053i −0.0239130 0.0414185i
\(647\) −548.646 −0.0333377 −0.0166689 0.999861i \(-0.505306\pi\)
−0.0166689 + 0.999861i \(0.505306\pi\)
\(648\) 739.477 1302.70i 0.0448293 0.0789733i
\(649\) 6309.76 0.381633
\(650\) 9270.28 + 16056.6i 0.559400 + 0.968910i
\(651\) 2269.99 + 8410.27i 0.136664 + 0.506336i
\(652\) 6185.79 10714.1i 0.371555 0.643553i
\(653\) −3408.56 + 5903.80i −0.204268 + 0.353803i −0.949899 0.312556i \(-0.898815\pi\)
0.745631 + 0.666359i \(0.232148\pi\)
\(654\) −13349.5 + 13398.4i −0.798178 + 0.801099i
\(655\) 2594.96 + 4494.61i 0.154799 + 0.268121i
\(656\) 4908.34 0.292132
\(657\) −10360.5 + 6032.18i −0.615221 + 0.358201i
\(658\) 8116.00 0.480843
\(659\) 15876.6 + 27499.0i 0.938487 + 1.62551i 0.768294 + 0.640097i \(0.221106\pi\)
0.170193 + 0.985411i \(0.445561\pi\)
\(660\) 3850.28 + 1024.15i 0.227079 + 0.0604014i
\(661\) 9540.80 16525.1i 0.561413 0.972396i −0.435961 0.899966i \(-0.643591\pi\)
0.997374 0.0724299i \(-0.0230754\pi\)
\(662\) 9057.29 15687.7i 0.531755 0.921026i
\(663\) −412.731 109.784i −0.0241767 0.00643083i
\(664\) −1325.58 2295.98i −0.0774739 0.134189i
\(665\) 1635.64 0.0953793
\(666\) 13303.2 + 7615.98i 0.774009 + 0.443113i
\(667\) 1416.58 0.0822339
\(668\) 7332.72 + 12700.6i 0.424718 + 0.735632i
\(669\) 14847.6 14902.0i 0.858060 0.861200i
\(670\) −19.3344 + 33.4881i −0.00111485 + 0.00193098i
\(671\) 13299.4 23035.2i 0.765152 1.32528i
\(672\) −2376.31 8804.17i −0.136411 0.505399i
\(673\) 6635.90 + 11493.7i 0.380082 + 0.658321i 0.991074 0.133316i \(-0.0425625\pi\)
−0.610992 + 0.791637i \(0.709229\pi\)
\(674\) −10908.4 −0.623408
\(675\) 4235.77 16161.8i 0.241533 0.921580i
\(676\) −4718.18 −0.268444
\(677\) −2667.73 4620.64i −0.151446 0.262312i 0.780313 0.625389i \(-0.215060\pi\)
−0.931759 + 0.363077i \(0.881726\pi\)
\(678\) −11651.2 43167.5i −0.659975 2.44519i
\(679\) 1468.42 2543.38i 0.0829937 0.143749i
\(680\) −5.18833 + 8.98645i −0.000292593 + 0.000506786i
\(681\) −2301.25 + 2309.67i −0.129492 + 0.129966i
\(682\) −19867.8 34412.1i −1.11551 1.93212i
\(683\) −26921.0 −1.50820 −0.754101 0.656758i \(-0.771927\pi\)
−0.754101 + 0.656758i \(0.771927\pi\)
\(684\) −70.8658 19402.5i −0.00396144 1.08461i
\(685\) 5254.92 0.293110
\(686\) −674.710 1168.63i −0.0375518 0.0650417i
\(687\) 4966.94 + 1321.17i 0.275838 + 0.0733709i
\(688\) 16316.0 28260.1i 0.904128 1.56600i
\(689\) −12410.3 + 21495.4i −0.686207 + 1.18855i
\(690\) −3542.56 942.295i −0.195453 0.0519892i
\(691\) −2308.65 3998.69i −0.127099 0.220141i 0.795453 0.606016i \(-0.207233\pi\)
−0.922551 + 0.385875i \(0.873900\pi\)
\(692\) −204.460 −0.0112318
\(693\) 29.1115 + 7970.52i 0.00159575 + 0.436905i
\(694\) −33137.1 −1.81249
\(695\) 2796.33 + 4843.38i 0.152620 + 0.264345i
\(696\) 144.748 145.278i 0.00788315 0.00791199i
\(697\) −75.0635 + 130.014i −0.00407924 + 0.00706546i
\(698\) −7632.24 + 13219.4i −0.413874 + 0.716852i
\(699\) −4232.05 15679.6i −0.229000 0.848438i
\(700\) −3116.77 5398.41i −0.168290 0.291487i
\(701\) −15895.3 −0.856430 −0.428215 0.903677i \(-0.640857\pi\)
−0.428215 + 0.903677i \(0.640857\pi\)
\(702\) −15529.3 15360.0i −0.834921 0.825822i
\(703\) −13868.4 −0.744036
\(704\) 9343.42 + 16183.3i 0.500204 + 0.866378i
\(705\) −970.235 3594.70i −0.0518315 0.192034i
\(706\) 7720.27 13371.9i 0.411553 0.712831i
\(707\) 3169.68 5490.05i 0.168611 0.292043i
\(708\) 4103.23 4118.25i 0.217809 0.218606i
\(709\) 1794.91 + 3108.88i 0.0950766 + 0.164677i 0.909641 0.415396i \(-0.136357\pi\)
−0.814564 + 0.580074i \(0.803024\pi\)
\(710\) −7636.92 −0.403674
\(711\) −13485.9 7720.57i −0.711339 0.407235i
\(712\) 1542.54 0.0811924
\(713\) 8831.54 + 15296.7i 0.463876 + 0.803457i
\(714\) 287.222 + 76.3991i 0.0150547 + 0.00400443i
\(715\) −2028.89 + 3514.13i −0.106120 + 0.183806i
\(716\) −489.160 + 847.250i −0.0255318 + 0.0442223i
\(717\) 15190.3 + 4040.51i 0.791203 + 0.210454i
\(718\) 13029.0 + 22566.9i 0.677213 + 1.17297i
\(719\) 3759.41 0.194996 0.0974981 0.995236i \(-0.468916\pi\)
0.0974981 + 0.995236i \(0.468916\pi\)
\(720\) −3852.47 + 2243.03i −0.199407 + 0.116101i
\(721\) −14474.2 −0.747636
\(722\) 4674.70 + 8096.81i 0.240961 + 0.417358i
\(723\) −20533.9 + 20609.0i −1.05624 + 1.06011i
\(724\) −9197.98 + 15931.4i −0.472155 + 0.817797i
\(725\) 1143.70 1980.94i 0.0585874 0.101476i
\(726\) −2383.86 8832.12i −0.121864 0.451503i
\(727\) −12693.7 21986.2i −0.647572 1.12163i −0.983701 0.179811i \(-0.942451\pi\)
0.336129 0.941816i \(-0.390882\pi\)
\(728\) 569.203 0.0289781
\(729\) 215.665 + 19681.8i 0.0109569 + 0.999940i
\(730\) 4247.34 0.215344
\(731\) 499.042 + 864.366i 0.0252500 + 0.0437342i
\(732\) −6386.01 23660.0i −0.322450 1.19467i
\(733\) −10097.6 + 17489.5i −0.508815 + 0.881294i 0.491132 + 0.871085i \(0.336583\pi\)
−0.999948 + 0.0102093i \(0.996750\pi\)
\(734\) −18120.7 + 31385.9i −0.911235 + 1.57830i
\(735\) −436.946 + 438.545i −0.0219279 + 0.0220081i
\(736\) −9245.18 16013.1i −0.463019 0.801972i
\(737\) 170.481 0.00852068
\(738\) −6635.25 + 3863.24i −0.330958 + 0.192694i
\(739\) −2153.33 −0.107187 −0.0535936 0.998563i \(-0.517068\pi\)
−0.0535936 + 0.998563i \(0.517068\pi\)
\(740\) −1311.88 2272.25i −0.0651700 0.112878i
\(741\) 19097.1 + 5079.69i 0.946760 + 0.251831i
\(742\) 8636.44 14958.7i 0.427296 0.740098i
\(743\) −494.183 + 855.949i −0.0244008 + 0.0422634i −0.877968 0.478719i \(-0.841101\pi\)
0.853567 + 0.520983i \(0.174434\pi\)
\(744\) 2471.19 + 657.318i 0.121772 + 0.0323904i
\(745\) −1438.83 2492.14i −0.0707582 0.122557i
\(746\) 29609.9 1.45321
\(747\) 30232.6 + 17307.9i 1.48079 + 0.847740i
\(748\) −654.976 −0.0320165
\(749\) 6048.87 + 10477.0i 0.295088 + 0.511108i
\(750\) −8563.11 + 8594.44i −0.416908 + 0.418433i
\(751\) −8964.88 + 15527.6i −0.435597 + 0.754476i −0.997344 0.0728330i \(-0.976796\pi\)
0.561747 + 0.827309i \(0.310129\pi\)
\(752\) 10006.1 17331.1i 0.485221 0.840427i
\(753\) 4008.36 + 14850.9i 0.193988 + 0.718719i
\(754\) −1495.19 2589.75i −0.0722170 0.125084i
\(755\) −8358.27 −0.402899
\(756\) 5221.12 + 5164.22i 0.251177 + 0.248440i
\(757\) 34271.4 1.64546 0.822732 0.568429i \(-0.192449\pi\)
0.822732 + 0.568429i \(0.192449\pi\)
\(758\) 18771.6 + 32513.4i 0.899494 + 1.55797i
\(759\) 4211.36 + 15603.0i 0.201400 + 0.746182i
\(760\) 240.064 415.803i 0.0114579 0.0198457i
\(761\) 8679.95 15034.1i 0.413466 0.716145i −0.581800 0.813332i \(-0.697651\pi\)
0.995266 + 0.0971873i \(0.0309846\pi\)
\(762\) −12958.8 + 13006.2i −0.616073 + 0.618328i
\(763\) 3238.24 + 5608.80i 0.153646 + 0.266123i
\(764\) −9791.36 −0.463663
\(765\) −0.497998 136.348i −2.35362e−5 0.00644403i
\(766\) 14923.4 0.703923
\(767\) 2960.44 + 5127.63i 0.139368 + 0.241392i
\(768\) −22985.6 6114.00i −1.07997 0.287265i
\(769\) 2411.70 4177.19i 0.113093 0.195882i −0.803923 0.594733i \(-0.797258\pi\)
0.917016 + 0.398851i \(0.130591\pi\)
\(770\) 1411.91 2445.51i 0.0660803 0.114454i
\(771\) −30107.6 8008.40i −1.40635 0.374080i
\(772\) −3229.38 5593.45i −0.150554