Properties

Label 74.4.f.b.7.2
Level $74$
Weight $4$
Character 74.7
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) \(=\) 74.7
Dual form 74.4.f.b.53.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.87939 + 0.684040i) q^{2} +(-1.99226 - 0.725122i) q^{3} +(3.06418 - 2.57115i) q^{4} +(1.44178 + 8.17673i) q^{5} +4.24023 q^{6} +(-1.26639 - 7.18203i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-17.2399 - 14.4660i) q^{9} +O(q^{10})\) \(q+(-1.87939 + 0.684040i) q^{2} +(-1.99226 - 0.725122i) q^{3} +(3.06418 - 2.57115i) q^{4} +(1.44178 + 8.17673i) q^{5} +4.24023 q^{6} +(-1.26639 - 7.18203i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-17.2399 - 14.4660i) q^{9} +(-8.30287 - 14.3810i) q^{10} +(-32.0217 + 55.4632i) q^{11} +(-7.96903 + 2.90049i) q^{12} +(-38.7809 + 32.5410i) q^{13} +(7.29283 + 12.6315i) q^{14} +(3.05674 - 17.3356i) q^{15} +(2.77837 - 15.7569i) q^{16} +(-75.3459 - 63.2227i) q^{17} +(42.2958 + 15.3944i) q^{18} +(-93.0044 - 33.8508i) q^{19} +(25.4415 + 21.3479i) q^{20} +(-2.68488 + 15.2267i) q^{21} +(22.2420 - 126.141i) q^{22} +(92.9105 + 160.926i) q^{23} +(12.9928 - 10.9023i) q^{24} +(52.6814 - 19.1745i) q^{25} +(50.6249 - 87.6849i) q^{26} +(52.4783 + 90.8950i) q^{27} +(-22.3465 - 18.7510i) q^{28} +(16.8768 - 29.2315i) q^{29} +(6.11347 + 34.6712i) q^{30} +120.154 q^{31} +(5.55674 + 31.5138i) q^{32} +(104.013 - 87.2773i) q^{33} +(184.851 + 67.2802i) q^{34} +(56.8997 - 20.7098i) q^{35} -90.0204 q^{36} +(-196.807 + 109.179i) q^{37} +197.946 q^{38} +(100.858 - 36.7092i) q^{39} +(-62.4172 - 22.7180i) q^{40} +(249.864 - 209.661i) q^{41} +(-5.36977 - 30.4535i) q^{42} -434.268 q^{43} +(44.4841 + 252.282i) q^{44} +(93.4285 - 161.823i) q^{45} +(-284.694 - 238.887i) q^{46} +(-29.1937 - 50.5649i) q^{47} +(-16.9609 + 29.3772i) q^{48} +(272.337 - 99.1225i) q^{49} +(-85.8925 + 72.0724i) q^{50} +(104.264 + 180.591i) q^{51} +(-35.1637 + 199.423i) q^{52} +(-9.57467 + 54.3006i) q^{53} +(-160.803 - 134.930i) q^{54} +(-499.676 - 181.867i) q^{55} +(54.8241 + 19.9544i) q^{56} +(160.743 + 134.879i) q^{57} +(-11.7225 + 66.4817i) q^{58} +(-121.163 + 687.149i) q^{59} +(-35.2061 - 60.9787i) q^{60} +(58.2716 - 48.8956i) q^{61} +(-225.815 + 82.1901i) q^{62} +(-82.0630 + 142.137i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(-321.993 - 270.184i) q^{65} +(-135.779 + 235.177i) q^{66} +(-114.897 - 651.612i) q^{67} -393.428 q^{68} +(-68.4108 - 387.977i) q^{69} +(-92.7701 + 77.8434i) q^{70} +(492.472 + 179.245i) q^{71} +(169.183 - 61.5776i) q^{72} -616.359 q^{73} +(295.194 - 339.813i) q^{74} -118.859 q^{75} +(-372.018 + 135.403i) q^{76} +(438.890 + 159.743i) q^{77} +(-164.440 + 137.982i) q^{78} +(82.0574 + 465.370i) q^{79} +132.846 q^{80} +(66.8750 + 379.267i) q^{81} +(-326.175 + 564.951i) q^{82} +(486.456 + 408.185i) q^{83} +(30.9233 + 53.5607i) q^{84} +(408.323 - 707.236i) q^{85} +(816.157 - 297.057i) q^{86} +(-54.8194 + 45.9989i) q^{87} +(-256.174 - 443.706i) q^{88} +(93.8600 - 532.306i) q^{89} +(-64.8948 + 368.036i) q^{90} +(282.823 + 237.316i) q^{91} +(698.459 + 254.218i) q^{92} +(-239.377 - 87.1262i) q^{93} +(89.4546 + 75.0613i) q^{94} +(142.697 - 809.277i) q^{95} +(11.7809 - 66.8130i) q^{96} +(5.20096 + 9.00833i) q^{97} +(-444.022 + 372.579i) q^{98} +(1354.38 - 492.955i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + O(q^{10}) \) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.87939 + 0.684040i −0.664463 + 0.241845i
\(3\) −1.99226 0.725122i −0.383410 0.139550i 0.143122 0.989705i \(-0.454286\pi\)
−0.526532 + 0.850155i \(0.676508\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) 1.44178 + 8.17673i 0.128957 + 0.731349i 0.978879 + 0.204441i \(0.0655376\pi\)
−0.849922 + 0.526908i \(0.823351\pi\)
\(6\) 4.24023 0.288511
\(7\) −1.26639 7.18203i −0.0683784 0.387793i −0.999720 0.0236475i \(-0.992472\pi\)
0.931342 0.364146i \(-0.118639\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) −17.2399 14.4660i −0.638515 0.535778i
\(10\) −8.30287 14.3810i −0.262560 0.454767i
\(11\) −32.0217 + 55.4632i −0.877719 + 1.52025i −0.0238806 + 0.999715i \(0.507602\pi\)
−0.853838 + 0.520539i \(0.825731\pi\)
\(12\) −7.96903 + 2.90049i −0.191705 + 0.0697749i
\(13\) −38.7809 + 32.5410i −0.827376 + 0.694251i −0.954687 0.297612i \(-0.903810\pi\)
0.127311 + 0.991863i \(0.459365\pi\)
\(14\) 7.29283 + 12.6315i 0.139221 + 0.241137i
\(15\) 3.05674 17.3356i 0.0526164 0.298402i
\(16\) 2.77837 15.7569i 0.0434120 0.246202i
\(17\) −75.3459 63.2227i −1.07495 0.901986i −0.0794537 0.996839i \(-0.525318\pi\)
−0.995491 + 0.0948525i \(0.969762\pi\)
\(18\) 42.2958 + 15.3944i 0.553845 + 0.201583i
\(19\) −93.0044 33.8508i −1.12298 0.408732i −0.287243 0.957858i \(-0.592739\pi\)
−0.835740 + 0.549126i \(0.814961\pi\)
\(20\) 25.4415 + 21.3479i 0.284444 + 0.238677i
\(21\) −2.68488 + 15.2267i −0.0278995 + 0.158226i
\(22\) 22.2420 126.141i 0.215546 1.22242i
\(23\) 92.9105 + 160.926i 0.842312 + 1.45893i 0.887935 + 0.459969i \(0.152140\pi\)
−0.0456224 + 0.998959i \(0.514527\pi\)
\(24\) 12.9928 10.9023i 0.110506 0.0927257i
\(25\) 52.6814 19.1745i 0.421451 0.153396i
\(26\) 50.6249 87.6849i 0.381860 0.661401i
\(27\) 52.4783 + 90.8950i 0.374054 + 0.647880i
\(28\) −22.3465 18.7510i −0.150825 0.126557i
\(29\) 16.8768 29.2315i 0.108067 0.187178i −0.806920 0.590661i \(-0.798867\pi\)
0.914987 + 0.403483i \(0.132201\pi\)
\(30\) 6.11347 + 34.6712i 0.0372054 + 0.211002i
\(31\) 120.154 0.696138 0.348069 0.937469i \(-0.386838\pi\)
0.348069 + 0.937469i \(0.386838\pi\)
\(32\) 5.55674 + 31.5138i 0.0306970 + 0.174091i
\(33\) 104.013 87.2773i 0.548677 0.460395i
\(34\) 184.851 + 67.2802i 0.932402 + 0.339367i
\(35\) 56.8997 20.7098i 0.274794 0.100017i
\(36\) −90.0204 −0.416761
\(37\) −196.807 + 109.179i −0.874456 + 0.485104i
\(38\) 197.946 0.845030
\(39\) 100.858 36.7092i 0.414107 0.150723i
\(40\) −62.4172 22.7180i −0.246725 0.0898007i
\(41\) 249.864 209.661i 0.951763 0.798624i −0.0278309 0.999613i \(-0.508860\pi\)
0.979593 + 0.200989i \(0.0644156\pi\)
\(42\) −5.36977 30.4535i −0.0197279 0.111883i
\(43\) −434.268 −1.54012 −0.770062 0.637970i \(-0.779775\pi\)
−0.770062 + 0.637970i \(0.779775\pi\)
\(44\) 44.4841 + 252.282i 0.152414 + 0.864384i
\(45\) 93.4285 161.823i 0.309500 0.536070i
\(46\) −284.694 238.887i −0.912520 0.765695i
\(47\) −29.1937 50.5649i −0.0906029 0.156929i 0.817162 0.576408i \(-0.195546\pi\)
−0.907765 + 0.419479i \(0.862213\pi\)
\(48\) −16.9609 + 29.3772i −0.0510020 + 0.0883381i
\(49\) 272.337 99.1225i 0.793985 0.288987i
\(50\) −85.8925 + 72.0724i −0.242941 + 0.203852i
\(51\) 104.264 + 180.591i 0.286273 + 0.495839i
\(52\) −35.1637 + 199.423i −0.0937755 + 0.531827i
\(53\) −9.57467 + 54.3006i −0.0248147 + 0.140731i −0.994698 0.102839i \(-0.967207\pi\)
0.969883 + 0.243570i \(0.0783186\pi\)
\(54\) −160.803 134.930i −0.405231 0.340029i
\(55\) −499.676 181.867i −1.22502 0.445872i
\(56\) 54.8241 + 19.9544i 0.130825 + 0.0476163i
\(57\) 160.743 + 134.879i 0.373524 + 0.313424i
\(58\) −11.7225 + 66.4817i −0.0265386 + 0.150508i
\(59\) −121.163 + 687.149i −0.267357 + 1.51626i 0.494881 + 0.868961i \(0.335212\pi\)
−0.762238 + 0.647297i \(0.775899\pi\)
\(60\) −35.2061 60.9787i −0.0757514 0.131205i
\(61\) 58.2716 48.8956i 0.122310 0.102630i −0.579581 0.814915i \(-0.696784\pi\)
0.701891 + 0.712284i \(0.252339\pi\)
\(62\) −225.815 + 82.1901i −0.462558 + 0.168357i
\(63\) −82.0630 + 142.137i −0.164110 + 0.284248i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) −321.993 270.184i −0.614435 0.515572i
\(66\) −135.779 + 235.177i −0.253232 + 0.438610i
\(67\) −114.897 651.612i −0.209506 1.18817i −0.890190 0.455589i \(-0.849429\pi\)
0.680685 0.732577i \(-0.261682\pi\)
\(68\) −393.428 −0.701621
\(69\) −68.4108 387.977i −0.119358 0.676912i
\(70\) −92.7701 + 77.8434i −0.158402 + 0.132915i
\(71\) 492.472 + 179.245i 0.823179 + 0.299613i 0.719056 0.694952i \(-0.244574\pi\)
0.104123 + 0.994564i \(0.466797\pi\)
\(72\) 169.183 61.5776i 0.276922 0.100792i
\(73\) −616.359 −0.988211 −0.494105 0.869402i \(-0.664504\pi\)
−0.494105 + 0.869402i \(0.664504\pi\)
\(74\) 295.194 339.813i 0.463724 0.533817i
\(75\) −118.859 −0.182995
\(76\) −372.018 + 135.403i −0.561491 + 0.204366i
\(77\) 438.890 + 159.743i 0.649561 + 0.236421i
\(78\) −164.440 + 137.982i −0.238707 + 0.200299i
\(79\) 82.0574 + 465.370i 0.116863 + 0.662763i 0.985811 + 0.167859i \(0.0536855\pi\)
−0.868948 + 0.494903i \(0.835203\pi\)
\(80\) 132.846 0.185658
\(81\) 66.8750 + 379.267i 0.0917353 + 0.520257i
\(82\) −326.175 + 564.951i −0.439268 + 0.760835i
\(83\) 486.456 + 408.185i 0.643319 + 0.539809i 0.905036 0.425336i \(-0.139844\pi\)
−0.261716 + 0.965145i \(0.584288\pi\)
\(84\) 30.9233 + 53.5607i 0.0401667 + 0.0695708i
\(85\) 408.323 707.236i 0.521045 0.902477i
\(86\) 816.157 297.057i 1.02335 0.372471i
\(87\) −54.8194 + 45.9989i −0.0675546 + 0.0566851i
\(88\) −256.174 443.706i −0.310320 0.537491i
\(89\) 93.8600 532.306i 0.111788 0.633982i −0.876502 0.481397i \(-0.840129\pi\)
0.988290 0.152584i \(-0.0487595\pi\)
\(90\) −64.8948 + 368.036i −0.0760056 + 0.431049i
\(91\) 282.823 + 237.316i 0.325801 + 0.273379i
\(92\) 698.459 + 254.218i 0.791515 + 0.288088i
\(93\) −239.377 87.1262i −0.266906 0.0971459i
\(94\) 89.4546 + 75.0613i 0.0981547 + 0.0823616i
\(95\) 142.697 809.277i 0.154110 0.874001i
\(96\) 11.7809 66.8130i 0.0125249 0.0710320i
\(97\) 5.20096 + 9.00833i 0.00544410 + 0.00942946i 0.868735 0.495278i \(-0.164934\pi\)
−0.863291 + 0.504707i \(0.831600\pi\)
\(98\) −444.022 + 372.579i −0.457683 + 0.384042i
\(99\) 1354.38 492.955i 1.37496 0.500443i
\(100\) 112.125 194.206i 0.112125 0.194206i
\(101\) −286.158 495.641i −0.281919 0.488298i 0.689938 0.723868i \(-0.257638\pi\)
−0.971857 + 0.235570i \(0.924304\pi\)
\(102\) −319.484 268.079i −0.310134 0.260233i
\(103\) −384.563 + 666.083i −0.367885 + 0.637195i −0.989235 0.146338i \(-0.953251\pi\)
0.621350 + 0.783533i \(0.286585\pi\)
\(104\) −70.3274 398.846i −0.0663093 0.376059i
\(105\) −128.376 −0.119316
\(106\) −19.1493 108.601i −0.0175467 0.0995121i
\(107\) −1054.91 + 885.177i −0.953106 + 0.799751i −0.979818 0.199892i \(-0.935941\pi\)
0.0267121 + 0.999643i \(0.491496\pi\)
\(108\) 394.508 + 143.589i 0.351495 + 0.127934i
\(109\) 1490.56 542.519i 1.30981 0.476733i 0.409633 0.912250i \(-0.365657\pi\)
0.900180 + 0.435517i \(0.143434\pi\)
\(110\) 1063.49 0.921815
\(111\) 471.258 74.8028i 0.402971 0.0639636i
\(112\) −116.685 −0.0984439
\(113\) −768.761 + 279.806i −0.639991 + 0.232938i −0.641574 0.767061i \(-0.721718\pi\)
0.00158329 + 0.999999i \(0.499496\pi\)
\(114\) −394.360 143.535i −0.323993 0.117924i
\(115\) −1181.89 + 991.724i −0.958364 + 0.804163i
\(116\) −23.4450 132.963i −0.0187657 0.106425i
\(117\) 1139.32 0.900257
\(118\) −242.326 1374.30i −0.189050 1.07216i
\(119\) −358.651 + 621.201i −0.276281 + 0.478533i
\(120\) 107.878 + 90.5201i 0.0820653 + 0.0688610i
\(121\) −1385.28 2399.37i −1.04078 1.80268i
\(122\) −76.0681 + 131.754i −0.0564499 + 0.0977740i
\(123\) −649.824 + 236.517i −0.476363 + 0.173382i
\(124\) 368.173 308.934i 0.266636 0.223734i
\(125\) 751.669 + 1301.93i 0.537850 + 0.931584i
\(126\) 57.0003 323.265i 0.0403015 0.228561i
\(127\) −29.9274 + 169.727i −0.0209105 + 0.118589i −0.993476 0.114039i \(-0.963621\pi\)
0.972566 + 0.232628i \(0.0747324\pi\)
\(128\) 98.0537 + 82.2768i 0.0677094 + 0.0568149i
\(129\) 865.174 + 314.898i 0.590499 + 0.214924i
\(130\) 789.965 + 287.524i 0.532958 + 0.193981i
\(131\) 114.856 + 96.3754i 0.0766030 + 0.0642775i 0.680285 0.732948i \(-0.261856\pi\)
−0.603682 + 0.797225i \(0.706300\pi\)
\(132\) 94.3114 534.866i 0.0621875 0.352683i
\(133\) −125.338 + 710.829i −0.0817159 + 0.463434i
\(134\) 661.664 + 1146.04i 0.426560 + 0.738824i
\(135\) −667.562 + 560.151i −0.425590 + 0.357112i
\(136\) 739.403 269.121i 0.466201 0.169683i
\(137\) −398.760 + 690.673i −0.248675 + 0.430717i −0.963158 0.268935i \(-0.913328\pi\)
0.714484 + 0.699652i \(0.246662\pi\)
\(138\) 393.962 + 682.362i 0.243017 + 0.420917i
\(139\) 917.234 + 769.650i 0.559703 + 0.469647i 0.878211 0.478274i \(-0.158737\pi\)
−0.318508 + 0.947920i \(0.603182\pi\)
\(140\) 121.103 209.756i 0.0731075 0.126626i
\(141\) 21.4956 + 121.907i 0.0128387 + 0.0728117i
\(142\) −1048.16 −0.619432
\(143\) −563.000 3192.93i −0.329234 1.86718i
\(144\) −275.839 + 231.456i −0.159629 + 0.133945i
\(145\) 263.351 + 95.8518i 0.150828 + 0.0548970i
\(146\) 1158.38 421.614i 0.656629 0.238994i
\(147\) −614.440 −0.344750
\(148\) −322.337 + 840.563i −0.179027 + 0.466851i
\(149\) −2349.01 −1.29153 −0.645765 0.763536i \(-0.723461\pi\)
−0.645765 + 0.763536i \(0.723461\pi\)
\(150\) 223.381 81.3041i 0.121593 0.0442564i
\(151\) −1332.63 485.039i −0.718200 0.261403i −0.0430386 0.999073i \(-0.513704\pi\)
−0.675161 + 0.737670i \(0.735926\pi\)
\(152\) 606.543 508.950i 0.323665 0.271587i
\(153\) 384.377 + 2179.91i 0.203105 + 1.15186i
\(154\) −934.115 −0.488787
\(155\) 173.235 + 982.465i 0.0897715 + 0.509120i
\(156\) 214.661 371.804i 0.110171 0.190821i
\(157\) −2243.91 1882.87i −1.14066 0.957129i −0.141202 0.989981i \(-0.545097\pi\)
−0.999460 + 0.0328520i \(0.989541\pi\)
\(158\) −472.550 818.480i −0.237937 0.412119i
\(159\) 58.4498 101.238i 0.0291533 0.0504949i
\(160\) −249.669 + 90.8719i −0.123363 + 0.0449004i
\(161\) 1038.11 871.081i 0.508167 0.426402i
\(162\) −385.118 667.044i −0.186776 0.323506i
\(163\) −142.046 + 805.580i −0.0682569 + 0.387104i 0.931472 + 0.363813i \(0.118525\pi\)
−0.999729 + 0.0232905i \(0.992586\pi\)
\(164\) 226.559 1284.88i 0.107874 0.611781i
\(165\) 863.607 + 724.652i 0.407465 + 0.341904i
\(166\) −1193.45 434.382i −0.558012 0.203100i
\(167\) 389.511 + 141.770i 0.180487 + 0.0656918i 0.430683 0.902503i \(-0.358273\pi\)
−0.250196 + 0.968195i \(0.580495\pi\)
\(168\) −94.7544 79.5084i −0.0435146 0.0365131i
\(169\) 63.5342 360.321i 0.0289186 0.164006i
\(170\) −283.618 + 1608.48i −0.127956 + 0.725675i
\(171\) 1113.70 + 1928.99i 0.498052 + 0.862651i
\(172\) −1330.68 + 1116.57i −0.589901 + 0.494986i
\(173\) −3420.17 + 1244.84i −1.50307 + 0.547072i −0.956853 0.290573i \(-0.906154\pi\)
−0.546215 + 0.837645i \(0.683932\pi\)
\(174\) 71.5616 123.948i 0.0311786 0.0540029i
\(175\) −204.427 354.077i −0.0883040 0.152947i
\(176\) 784.961 + 658.661i 0.336186 + 0.282093i
\(177\) 739.655 1281.12i 0.314101 0.544039i
\(178\) 187.720 + 1064.61i 0.0790461 + 0.448293i
\(179\) −1783.83 −0.744857 −0.372429 0.928061i \(-0.621475\pi\)
−0.372429 + 0.928061i \(0.621475\pi\)
\(180\) −129.790 736.073i −0.0537441 0.304798i
\(181\) −1135.86 + 953.096i −0.466450 + 0.391398i −0.845498 0.533979i \(-0.820696\pi\)
0.379047 + 0.925377i \(0.376252\pi\)
\(182\) −693.866 252.547i −0.282598 0.102857i
\(183\) −151.547 + 55.1587i −0.0612169 + 0.0222811i
\(184\) −1486.57 −0.595605
\(185\) −1176.48 1451.83i −0.467547 0.576975i
\(186\) 509.480 0.200843
\(187\) 5919.24 2154.43i 2.31475 0.842499i
\(188\) −219.465 79.8786i −0.0851389 0.0309880i
\(189\) 586.353 492.009i 0.225666 0.189357i
\(190\) 285.395 + 1618.55i 0.108972 + 0.618012i
\(191\) −3495.43 −1.32419 −0.662096 0.749419i \(-0.730333\pi\)
−0.662096 + 0.749419i \(0.730333\pi\)
\(192\) 23.5619 + 133.626i 0.00885641 + 0.0502272i
\(193\) −290.175 + 502.597i −0.108224 + 0.187449i −0.915051 0.403339i \(-0.867850\pi\)
0.806827 + 0.590788i \(0.201183\pi\)
\(194\) −15.9367 13.3725i −0.00589787 0.00494890i
\(195\) 445.576 + 771.760i 0.163633 + 0.283420i
\(196\) 579.629 1003.95i 0.211235 0.365870i
\(197\) 4975.42 1810.90i 1.79941 0.654932i 0.800994 0.598672i \(-0.204305\pi\)
0.998416 0.0562596i \(-0.0179175\pi\)
\(198\) −2208.21 + 1852.90i −0.792577 + 0.665051i
\(199\) 858.801 + 1487.49i 0.305923 + 0.529875i 0.977467 0.211091i \(-0.0677015\pi\)
−0.671543 + 0.740966i \(0.734368\pi\)
\(200\) −77.8810 + 441.685i −0.0275351 + 0.156159i
\(201\) −243.594 + 1381.49i −0.0854817 + 0.484791i
\(202\) 876.840 + 735.756i 0.305417 + 0.256275i
\(203\) −231.314 84.1915i −0.0799757 0.0291088i
\(204\) 783.810 + 285.284i 0.269008 + 0.0979110i
\(205\) 2074.59 + 1740.79i 0.706809 + 0.593083i
\(206\) 267.115 1514.88i 0.0903435 0.512363i
\(207\) 726.183 4118.39i 0.243832 1.38284i
\(208\) 404.999 + 701.479i 0.135008 + 0.233840i
\(209\) 4855.63 4074.36i 1.60704 1.34847i
\(210\) 241.268 87.8143i 0.0792813 0.0288560i
\(211\) 556.695 964.225i 0.181633 0.314597i −0.760804 0.648982i \(-0.775195\pi\)
0.942437 + 0.334385i \(0.108528\pi\)
\(212\) 110.277 + 191.005i 0.0357256 + 0.0618786i
\(213\) −851.156 714.205i −0.273804 0.229749i
\(214\) 1377.09 2385.19i 0.439888 0.761908i
\(215\) −626.119 3550.89i −0.198609 1.12637i
\(216\) −839.652 −0.264496
\(217\) −152.161 862.949i −0.0476008 0.269958i
\(218\) −2430.23 + 2039.21i −0.755027 + 0.633543i
\(219\) 1227.95 + 446.936i 0.378890 + 0.137905i
\(220\) −1998.70 + 727.469i −0.612512 + 0.222936i
\(221\) 4979.32 1.51559
\(222\) −834.507 + 462.943i −0.252290 + 0.139958i
\(223\) 3020.06 0.906897 0.453448 0.891282i \(-0.350194\pi\)
0.453448 + 0.891282i \(0.350194\pi\)
\(224\) 219.297 79.8174i 0.0654123 0.0238081i
\(225\) −1185.60 431.523i −0.351289 0.127859i
\(226\) 1253.40 1051.73i 0.368915 0.309557i
\(227\) 549.889 + 3118.57i 0.160782 + 0.911837i 0.953308 + 0.302000i \(0.0976542\pi\)
−0.792527 + 0.609837i \(0.791235\pi\)
\(228\) 839.338 0.243801
\(229\) 886.283 + 5026.36i 0.255752 + 1.45044i 0.794135 + 0.607742i \(0.207924\pi\)
−0.538383 + 0.842701i \(0.680964\pi\)
\(230\) 1542.85 2672.29i 0.442315 0.766112i
\(231\) −758.549 636.498i −0.216056 0.181292i
\(232\) 135.015 + 233.852i 0.0382075 + 0.0661773i
\(233\) −3121.65 + 5406.86i −0.877709 + 1.52024i −0.0238600 + 0.999715i \(0.507596\pi\)
−0.853849 + 0.520521i \(0.825738\pi\)
\(234\) −2141.22 + 779.340i −0.598187 + 0.217722i
\(235\) 371.365 311.612i 0.103086 0.0864993i
\(236\) 1395.50 + 2417.07i 0.384912 + 0.666687i
\(237\) 173.971 986.639i 0.0476820 0.270418i
\(238\) 249.116 1412.81i 0.0678479 0.384785i
\(239\) −2871.89 2409.80i −0.777267 0.652205i 0.165292 0.986245i \(-0.447144\pi\)
−0.942559 + 0.334040i \(0.891588\pi\)
\(240\) −264.663 96.3295i −0.0711831 0.0259085i
\(241\) 3892.87 + 1416.89i 1.04050 + 0.378713i 0.805072 0.593178i \(-0.202127\pi\)
0.235433 + 0.971890i \(0.424349\pi\)
\(242\) 4244.74 + 3561.76i 1.12753 + 0.946110i
\(243\) 633.872 3594.86i 0.167337 0.949015i
\(244\) 52.8364 299.650i 0.0138627 0.0786193i
\(245\) 1203.15 + 2083.91i 0.313740 + 0.543413i
\(246\) 1059.48 889.012i 0.274594 0.230412i
\(247\) 4708.34 1713.69i 1.21289 0.441457i
\(248\) −480.615 + 832.450i −0.123061 + 0.213148i
\(249\) −673.161 1165.95i −0.171325 0.296743i
\(250\) −2303.25 1932.65i −0.582680 0.488927i
\(251\) 2196.62 3804.65i 0.552388 0.956763i −0.445714 0.895175i \(-0.647050\pi\)
0.998102 0.0615879i \(-0.0196165\pi\)
\(252\) 114.001 + 646.530i 0.0284975 + 0.161617i
\(253\) −11900.6 −2.95725
\(254\) −59.8548 339.454i −0.0147859 0.0838552i
\(255\) −1326.32 + 1112.91i −0.325714 + 0.273307i
\(256\) −240.561 87.5572i −0.0587308 0.0213763i
\(257\) −6065.04 + 2207.49i −1.47209 + 0.535797i −0.948667 0.316277i \(-0.897567\pi\)
−0.523422 + 0.852073i \(0.675345\pi\)
\(258\) −1841.40 −0.444343
\(259\) 1033.36 + 1275.21i 0.247914 + 0.305938i
\(260\) −1681.33 −0.401044
\(261\) −713.818 + 259.809i −0.169288 + 0.0616159i
\(262\) −281.783 102.561i −0.0664450 0.0241840i
\(263\) −2720.77 + 2283.00i −0.637909 + 0.535269i −0.903375 0.428851i \(-0.858918\pi\)
0.265466 + 0.964120i \(0.414474\pi\)
\(264\) 188.623 + 1069.73i 0.0439732 + 0.249384i
\(265\) −457.806 −0.106124
\(266\) −250.677 1421.66i −0.0577818 0.327697i
\(267\) −572.980 + 992.431i −0.131333 + 0.227475i
\(268\) −2027.46 1701.24i −0.462114 0.387760i
\(269\) −2050.08 3550.84i −0.464667 0.804828i 0.534519 0.845156i \(-0.320493\pi\)
−0.999186 + 0.0403289i \(0.987159\pi\)
\(270\) 871.440 1509.38i 0.196423 0.340214i
\(271\) 4662.60 1697.05i 1.04514 0.380400i 0.238313 0.971188i \(-0.423405\pi\)
0.806826 + 0.590789i \(0.201183\pi\)
\(272\) −1205.53 + 1011.56i −0.268736 + 0.225497i
\(273\) −391.372 677.876i −0.0867652 0.150282i
\(274\) 276.976 1570.81i 0.0610684 0.346336i
\(275\) −623.471 + 3535.88i −0.136715 + 0.775351i
\(276\) −1207.17 1012.94i −0.263272 0.220911i
\(277\) 3400.39 + 1237.64i 0.737581 + 0.268457i 0.683370 0.730072i \(-0.260514\pi\)
0.0542107 + 0.998530i \(0.482736\pi\)
\(278\) −2250.31 819.045i −0.485484 0.176702i
\(279\) −2071.44 1738.15i −0.444495 0.372975i
\(280\) −84.1171 + 477.052i −0.0179534 + 0.101819i
\(281\) −964.654 + 5470.82i −0.204792 + 1.16143i 0.692976 + 0.720961i \(0.256299\pi\)
−0.897767 + 0.440470i \(0.854812\pi\)
\(282\) −123.788 214.407i −0.0261399 0.0452757i
\(283\) −527.539 + 442.658i −0.110809 + 0.0929798i −0.696509 0.717548i \(-0.745264\pi\)
0.585700 + 0.810528i \(0.300820\pi\)
\(284\) 1969.89 716.981i 0.411589 0.149806i
\(285\) −871.115 + 1508.81i −0.181054 + 0.313595i
\(286\) 3242.19 + 5615.64i 0.670331 + 1.16105i
\(287\) −1822.22 1529.02i −0.374781 0.314479i
\(288\) 360.082 623.680i 0.0736737 0.127607i
\(289\) 826.759 + 4688.79i 0.168280 + 0.954363i
\(290\) −560.504 −0.113496
\(291\) −3.82951 21.7182i −0.000771443 0.00437507i
\(292\) −1888.63 + 1584.75i −0.378507 + 0.317605i
\(293\) −3878.07 1411.50i −0.773240 0.281436i −0.0748888 0.997192i \(-0.523860\pi\)
−0.698351 + 0.715756i \(0.746082\pi\)
\(294\) 1154.77 420.302i 0.229073 0.0833759i
\(295\) −5793.32 −1.14339
\(296\) 30.8163 1800.23i 0.00605122 0.353502i
\(297\) −6721.77 −1.31326
\(298\) 4414.69 1606.81i 0.858174 0.312350i
\(299\) −8839.85 3217.44i −1.70977 0.622306i
\(300\) −364.204 + 305.604i −0.0700911 + 0.0588134i
\(301\) 549.951 + 3118.93i 0.105311 + 0.597250i
\(302\) 2836.32 0.540436
\(303\) 210.701 + 1194.94i 0.0399487 + 0.226560i
\(304\) −791.786 + 1371.41i −0.149382 + 0.258737i
\(305\) 483.821 + 405.974i 0.0908312 + 0.0762164i
\(306\) −2213.54 3833.96i −0.413528 0.716251i
\(307\) 3567.48 6179.06i 0.663215 1.14872i −0.316551 0.948575i \(-0.602525\pi\)
0.979766 0.200146i \(-0.0641417\pi\)
\(308\) 1755.56 638.972i 0.324781 0.118210i
\(309\) 1249.14 1048.15i 0.229971 0.192969i
\(310\) −997.622 1727.93i −0.182778 0.316580i
\(311\) 1309.61 7427.14i 0.238781 1.35419i −0.595722 0.803191i \(-0.703134\pi\)
0.834503 0.551004i \(-0.185755\pi\)
\(312\) −149.102 + 845.600i −0.0270553 + 0.153438i
\(313\) 5452.51 + 4575.20i 0.984646 + 0.826216i 0.984784 0.173784i \(-0.0555995\pi\)
−0.000138044 1.00000i \(0.500044\pi\)
\(314\) 5505.14 + 2003.71i 0.989404 + 0.360114i
\(315\) −1280.53 466.076i −0.229047 0.0833664i
\(316\) 1447.98 + 1215.00i 0.257769 + 0.216294i
\(317\) 329.574 1869.11i 0.0583934 0.331166i −0.941591 0.336759i \(-0.890669\pi\)
0.999984 + 0.00559329i \(0.00178041\pi\)
\(318\) −40.5988 + 230.247i −0.00715933 + 0.0406026i
\(319\) 1080.85 + 1872.08i 0.189705 + 0.328579i
\(320\) 407.063 341.567i 0.0711111 0.0596693i
\(321\) 2743.52 998.560i 0.477035 0.173627i
\(322\) −1355.16 + 2347.21i −0.234535 + 0.406226i
\(323\) 4867.36 + 8430.51i 0.838474 + 1.45228i
\(324\) 1180.07 + 990.196i 0.202344 + 0.169787i
\(325\) −1419.08 + 2457.91i −0.242204 + 0.419509i
\(326\) −284.091 1611.16i −0.0482649 0.273724i
\(327\) −3362.97 −0.568724
\(328\) 453.117 + 2569.76i 0.0762781 + 0.432595i
\(329\) −326.189 + 273.705i −0.0546607 + 0.0458657i
\(330\) −2118.74 771.159i −0.353433 0.128639i
\(331\) −2039.79 + 742.421i −0.338721 + 0.123284i −0.505780 0.862662i \(-0.668795\pi\)
0.167059 + 0.985947i \(0.446573\pi\)
\(332\) 2540.09 0.419897
\(333\) 4972.32 + 964.781i 0.818262 + 0.158768i
\(334\) −829.018 −0.135814
\(335\) 5162.40 1878.96i 0.841947 0.306443i
\(336\) 232.467 + 84.6111i 0.0377444 + 0.0137378i
\(337\) 5135.93 4309.56i 0.830184 0.696607i −0.125149 0.992138i \(-0.539941\pi\)
0.955333 + 0.295531i \(0.0954964\pi\)
\(338\) 127.068 + 720.641i 0.0204486 + 0.115970i
\(339\) 1734.46 0.277885
\(340\) −567.236 3216.96i −0.0904786 0.513129i
\(341\) −3847.53 + 6664.12i −0.611013 + 1.05831i
\(342\) −3412.58 2863.49i −0.539565 0.452749i
\(343\) −2307.50 3996.71i −0.363246 0.629161i
\(344\) 1737.07 3008.70i 0.272258 0.471564i
\(345\) 3073.75 1118.75i 0.479667 0.174584i
\(346\) 5576.30 4679.07i 0.866427 0.727018i
\(347\) 3371.26 + 5839.20i 0.521553 + 0.903356i 0.999686 + 0.0250684i \(0.00798036\pi\)
−0.478133 + 0.878287i \(0.658686\pi\)
\(348\) −49.7062 + 281.898i −0.00765670 + 0.0434233i
\(349\) 1831.48 10386.8i 0.280908 1.59311i −0.438638 0.898664i \(-0.644539\pi\)
0.719546 0.694445i \(-0.244350\pi\)
\(350\) 626.399 + 525.612i 0.0956642 + 0.0802718i
\(351\) −4992.97 1817.29i −0.759274 0.276353i
\(352\) −1925.80 700.932i −0.291606 0.106136i
\(353\) 3010.04 + 2525.73i 0.453848 + 0.380824i 0.840862 0.541250i \(-0.182049\pi\)
−0.387013 + 0.922074i \(0.626493\pi\)
\(354\) −513.759 + 2913.67i −0.0771355 + 0.437457i
\(355\) −755.604 + 4285.24i −0.112967 + 0.640668i
\(356\) −1081.04 1872.41i −0.160940 0.278757i
\(357\) 1164.97 977.527i 0.172708 0.144919i
\(358\) 3352.50 1220.21i 0.494930 0.180140i
\(359\) −2033.02 + 3521.30i −0.298883 + 0.517680i −0.975881 0.218305i \(-0.929947\pi\)
0.676998 + 0.735985i \(0.263281\pi\)
\(360\) 747.428 + 1294.58i 0.109425 + 0.189529i
\(361\) 2249.64 + 1887.67i 0.327984 + 0.275211i
\(362\) 1482.75 2568.21i 0.215281 0.372878i
\(363\) 1019.99 + 5784.66i 0.147481 + 0.836408i
\(364\) 1476.79 0.212651
\(365\) −888.653 5039.80i −0.127436 0.722727i
\(366\) 247.085 207.329i 0.0352878 0.0296100i
\(367\) −963.867 350.819i −0.137094 0.0498981i 0.272562 0.962138i \(-0.412129\pi\)
−0.409656 + 0.912240i \(0.634351\pi\)
\(368\) 2793.84 1016.87i 0.395757 0.144044i
\(369\) −7340.60 −1.03560
\(370\) 3204.16 + 1923.78i 0.450206 + 0.270305i
\(371\) 402.114 0.0562715
\(372\) −957.509 + 348.505i −0.133453 + 0.0485729i
\(373\) −8124.32 2957.01i −1.12778 0.410478i −0.290293 0.956938i \(-0.593753\pi\)
−0.837485 + 0.546460i \(0.815975\pi\)
\(374\) −9650.82 + 8098.00i −1.33431 + 1.11962i
\(375\) −553.460 3138.83i −0.0762148 0.432235i
\(376\) 467.099 0.0640659
\(377\) 296.725 + 1682.81i 0.0405362 + 0.229892i
\(378\) −765.430 + 1325.76i −0.104152 + 0.180397i
\(379\) 4524.47 + 3796.48i 0.613209 + 0.514544i 0.895661 0.444738i \(-0.146703\pi\)
−0.282452 + 0.959282i \(0.591148\pi\)
\(380\) −1643.52 2846.67i −0.221871 0.384292i
\(381\) 182.696 316.438i 0.0245664 0.0425502i
\(382\) 6569.26 2391.02i 0.879877 0.320249i
\(383\) 6639.46 5571.17i 0.885798 0.743273i −0.0815650 0.996668i \(-0.525992\pi\)
0.967363 + 0.253395i \(0.0815474\pi\)
\(384\) −135.687 235.017i −0.0180319 0.0312322i
\(385\) −673.393 + 3819.00i −0.0891410 + 0.505544i
\(386\) 201.553 1143.07i 0.0265772 0.150727i
\(387\) 7486.75 + 6282.13i 0.983392 + 0.825164i
\(388\) 39.0985 + 14.2307i 0.00511578 + 0.00186199i
\(389\) 6288.36 + 2288.77i 0.819620 + 0.298317i 0.717592 0.696464i \(-0.245244\pi\)
0.102029 + 0.994781i \(0.467467\pi\)
\(390\) −1365.32 1145.64i −0.177271 0.148748i
\(391\) 3173.74 17999.2i 0.410493 2.32802i
\(392\) −402.606 + 2283.29i −0.0518742 + 0.294193i
\(393\) −158.938 275.289i −0.0204004 0.0353346i
\(394\) −8112.00 + 6806.77i −1.03725 + 0.870356i
\(395\) −3686.90 + 1341.92i −0.469641 + 0.170935i
\(396\) 2882.61 4992.82i 0.365799 0.633583i
\(397\) −1505.26 2607.20i −0.190295 0.329600i 0.755053 0.655664i \(-0.227611\pi\)
−0.945348 + 0.326063i \(0.894278\pi\)
\(398\) −2631.52 2208.11i −0.331422 0.278096i
\(399\) 765.144 1325.27i 0.0960028 0.166282i
\(400\) −155.762 883.370i −0.0194703 0.110421i
\(401\) −518.798 −0.0646073 −0.0323037 0.999478i \(-0.510284\pi\)
−0.0323037 + 0.999478i \(0.510284\pi\)
\(402\) −487.189 2762.99i −0.0604447 0.342799i
\(403\) −4659.68 + 3909.93i −0.575968 + 0.483294i
\(404\) −2151.21 782.975i −0.264917 0.0964220i
\(405\) −3004.75 + 1093.64i −0.368659 + 0.134181i
\(406\) 492.319 0.0601807
\(407\) 246.698 14411.6i 0.0300451 1.75518i
\(408\) −1668.23 −0.202425
\(409\) 7286.64 2652.12i 0.880932 0.320633i 0.138346 0.990384i \(-0.455821\pi\)
0.742586 + 0.669751i \(0.233599\pi\)
\(410\) −5089.73 1852.51i −0.613082 0.223144i
\(411\) 1295.26 1086.85i 0.155451 0.130439i
\(412\) 534.229 + 3029.76i 0.0638825 + 0.362296i
\(413\) 5088.57 0.606276
\(414\) 1452.37 + 8236.78i 0.172415 + 0.977816i
\(415\) −2636.26 + 4566.13i −0.311829 + 0.540103i
\(416\) −1240.99 1041.31i −0.146261 0.122727i
\(417\) −1269.27 2198.45i −0.149057 0.258174i
\(418\) −6338.58 + 10978.7i −0.741699 + 1.28466i
\(419\) 6738.06 2452.45i 0.785622 0.285943i 0.0821074 0.996623i \(-0.473835\pi\)
0.703515 + 0.710680i \(0.251613\pi\)
\(420\) −393.367 + 330.074i −0.0457008 + 0.0383475i
\(421\) 5247.83 + 9089.51i 0.607515 + 1.05225i 0.991649 + 0.128969i \(0.0411668\pi\)
−0.384134 + 0.923277i \(0.625500\pi\)
\(422\) −386.677 + 2192.95i −0.0446045 + 0.252965i
\(423\) −228.176 + 1294.05i −0.0262277 + 0.148745i
\(424\) −337.907 283.538i −0.0387034 0.0324760i
\(425\) −5181.59 1885.94i −0.591398 0.215251i
\(426\) 2088.20 + 760.041i 0.237496 + 0.0864416i
\(427\) −424.964 356.587i −0.0481627 0.0404133i
\(428\) −956.518 + 5424.68i −0.108026 + 0.612645i
\(429\) −1193.63 + 6769.39i −0.134333 + 0.761839i
\(430\) 3605.67 + 6245.21i 0.404374 + 0.700397i
\(431\) −12171.0 + 10212.7i −1.36022 + 1.14136i −0.384311 + 0.923204i \(0.625561\pi\)
−0.975913 + 0.218160i \(0.929995\pi\)
\(432\) 1578.03 574.356i 0.175748 0.0639669i
\(433\) 3564.27 6173.50i 0.395584 0.685172i −0.597591 0.801801i \(-0.703875\pi\)
0.993176 + 0.116629i \(0.0372087\pi\)
\(434\) 876.261 + 1517.73i 0.0969168 + 0.167865i
\(435\) −455.158 381.923i −0.0501682 0.0420961i
\(436\) 3172.44 5494.83i 0.348469 0.603565i
\(437\) −3193.62 18111.9i −0.349591 1.98263i
\(438\) −2613.50 −0.285110
\(439\) 124.927 + 708.497i 0.0135819 + 0.0770267i 0.990845 0.135002i \(-0.0431041\pi\)
−0.977263 + 0.212029i \(0.931993\pi\)
\(440\) 3258.72 2734.39i 0.353075 0.296265i
\(441\) −6128.97 2230.76i −0.661804 0.240877i
\(442\) −9358.05 + 3406.05i −1.00705 + 0.366537i
\(443\) −10174.9 −1.09125 −0.545624 0.838030i \(-0.683707\pi\)
−0.545624 + 0.838030i \(0.683707\pi\)
\(444\) 1251.69 1440.88i 0.133790 0.154012i
\(445\) 4487.85 0.478078
\(446\) −5675.85 + 2065.84i −0.602599 + 0.219328i
\(447\) 4679.82 + 1703.32i 0.495186 + 0.180233i
\(448\) −357.544 + 300.015i −0.0377062 + 0.0316393i
\(449\) −552.105 3131.14i −0.0580299 0.329104i 0.941948 0.335759i \(-0.108993\pi\)
−0.999978 + 0.00665501i \(0.997882\pi\)
\(450\) 2523.38 0.264341
\(451\) 3627.40 + 20572.0i 0.378730 + 2.14789i
\(452\) −1636.20 + 2833.98i −0.170266 + 0.294909i
\(453\) 2303.24 + 1932.64i 0.238886 + 0.200449i
\(454\) −3166.68 5484.86i −0.327356 0.566998i
\(455\) −1532.70 + 2654.72i −0.157921 + 0.273528i
\(456\) −1577.44 + 574.141i −0.161997 + 0.0589619i
\(457\) −11057.8 + 9278.63i −1.13187 + 0.949751i −0.999143 0.0414020i \(-0.986818\pi\)
−0.132726 + 0.991153i \(0.542373\pi\)
\(458\) −5103.90 8840.22i −0.520720 0.901913i
\(459\) 1792.61 10166.4i 0.182291 1.03383i
\(460\) −1071.65 + 6077.63i −0.108622 + 0.616024i
\(461\) −479.351 402.224i −0.0484287 0.0406365i 0.618252 0.785980i \(-0.287841\pi\)
−0.666681 + 0.745343i \(0.732286\pi\)
\(462\) 1861.00 + 677.347i 0.187406 + 0.0682101i
\(463\) −3834.89 1395.78i −0.384929 0.140103i 0.142305 0.989823i \(-0.454549\pi\)
−0.527234 + 0.849720i \(0.676771\pi\)
\(464\) −413.709 347.143i −0.0413921 0.0347321i
\(465\) 367.279 2082.94i 0.0366282 0.207729i
\(466\) 2168.28 12296.9i 0.215544 1.22241i
\(467\) 8876.35 + 15374.3i 0.879547 + 1.52342i 0.851839 + 0.523804i \(0.175488\pi\)
0.0277087 + 0.999616i \(0.491179\pi\)
\(468\) 3491.07 2929.36i 0.344818 0.289337i
\(469\) −4534.40 + 1650.39i −0.446437 + 0.162490i
\(470\) −484.783 + 839.668i −0.0475774 + 0.0824064i
\(471\) 3105.14 + 5378.27i 0.303774 + 0.526152i
\(472\) −4276.06 3588.04i −0.416995 0.349900i
\(473\) 13906.0 24085.9i 1.35179 2.34138i
\(474\) 347.942 + 1973.28i 0.0337163 + 0.191214i
\(475\) −5548.67 −0.535980
\(476\) 498.232 + 2825.62i 0.0479757 + 0.272084i
\(477\) 950.580 797.631i 0.0912454 0.0765640i
\(478\) 7045.78 + 2564.45i 0.674198 + 0.245388i
\(479\) 1191.45 433.651i 0.113651 0.0413654i −0.284569 0.958656i \(-0.591850\pi\)
0.398219 + 0.917290i \(0.369628\pi\)
\(480\) 563.297 0.0535643
\(481\) 4079.57 10638.4i 0.386720 1.00846i
\(482\) −8285.41 −0.782967
\(483\) −2699.83 + 982.657i −0.254341 + 0.0925724i
\(484\) −10413.9 3790.35i −0.978014 0.355968i
\(485\) −66.1601 + 55.5149i −0.00619417 + 0.00519753i
\(486\) 1267.74 + 7189.73i 0.118325 + 0.671055i
\(487\) 1584.73 0.147456 0.0737279 0.997278i \(-0.476510\pi\)
0.0737279 + 0.997278i \(0.476510\pi\)
\(488\) 105.673 + 599.300i 0.00980242 + 0.0555923i
\(489\) 867.135 1501.92i 0.0801906 0.138894i
\(490\) −3686.66 3093.47i −0.339890 0.285202i
\(491\) 3029.14 + 5246.63i 0.278418 + 0.482234i 0.970992 0.239113i \(-0.0768566\pi\)
−0.692574 + 0.721347i \(0.743523\pi\)
\(492\) −1383.06 + 2395.52i −0.126734 + 0.219509i
\(493\) −3119.69 + 1135.48i −0.284998 + 0.103731i
\(494\) −7676.54 + 6441.38i −0.699158 + 0.586663i
\(495\) 5983.48 + 10363.7i 0.543308 + 0.941037i
\(496\) 333.832 1893.25i 0.0302208 0.171390i
\(497\) 663.685 3763.95i 0.0599001 0.339710i
\(498\) 2062.69 + 1730.80i 0.185605 + 0.155741i
\(499\) −15922.5 5795.31i −1.42843 0.519907i −0.491951 0.870623i \(-0.663716\pi\)
−0.936482 + 0.350716i \(0.885938\pi\)
\(500\) 5650.70 + 2056.69i 0.505414 + 0.183956i
\(501\) −673.205 564.886i −0.0600331 0.0503738i
\(502\) −1525.75 + 8652.98i −0.135653 + 0.769326i
\(503\) −2398.52 + 13602.7i −0.212613 + 1.20579i 0.672387 + 0.740200i \(0.265269\pi\)
−0.885000 + 0.465591i \(0.845842\pi\)
\(504\) −656.504 1137.10i −0.0580218 0.100497i
\(505\) 3640.14 3054.44i 0.320761 0.269150i
\(506\) 22365.8 8140.50i 1.96499 0.715196i
\(507\) −387.853 + 671.781i −0.0339747 + 0.0588458i
\(508\) 344.690 + 597.021i 0.0301046 + 0.0521428i
\(509\) −8719.47 7316.51i −0.759300 0.637129i 0.178644 0.983914i \(-0.442829\pi\)
−0.937945 + 0.346785i \(0.887273\pi\)
\(510\) 1731.38 2998.84i 0.150327 0.260375i
\(511\) 780.549 + 4426.71i 0.0675723 + 0.383222i
\(512\) 512.000 0.0441942
\(513\) −1803.84 10230.1i −0.155246 0.880446i
\(514\) 9888.53 8297.47i 0.848569 0.712034i
\(515\) −6000.83 2184.12i −0.513453 0.186882i
\(516\) 3460.70 1259.59i 0.295249 0.107462i
\(517\) 3739.33 0.318095
\(518\) −2814.38 1689.76i −0.238719 0.143328i
\(519\) 7716.52 0.652635
\(520\) 3159.86 1150.10i 0.266479 0.0969904i
\(521\) 6760.05 + 2460.46i 0.568452 + 0.206900i 0.610226 0.792228i \(-0.291079\pi\)
−0.0417740 + 0.999127i \(0.513301\pi\)
\(522\) 1163.82 976.561i 0.0975843 0.0818829i
\(523\) −1761.27 9988.68i −0.147256 0.835133i −0.965528 0.260301i \(-0.916178\pi\)
0.818271 0.574832i \(-0.194933\pi\)
\(524\) 599.734 0.0499990
\(525\) 150.521 + 853.647i 0.0125129 + 0.0709642i
\(526\) 3551.72 6151.75i 0.294415 0.509941i
\(527\) −9053.10 7596.45i −0.748310 0.627906i
\(528\) −1086.24 1881.41i −0.0895309 0.155072i
\(529\) −11181.2 + 19366.5i −0.918981 + 1.59172i
\(530\) 860.394 313.158i 0.0705153 0.0256655i
\(531\) 12029.1 10093.6i 0.983089 0.824910i
\(532\) 1443.59 + 2500.37i 0.117646 + 0.203768i
\(533\) −2867.38 + 16261.7i −0.233020 + 1.32152i
\(534\) 397.988 2257.10i 0.0322521 0.182911i
\(535\) −8758.81 7349.51i −0.707806 0.593920i
\(536\) 4974.09 + 1810.42i 0.400836 + 0.145892i
\(537\) 3553.84 + 1293.49i 0.285586 + 0.103945i
\(538\) 6281.81 + 5271.06i 0.503398 + 0.422401i
\(539\) −3223.03 + 18278.7i −0.257562 + 1.46071i
\(540\) −605.296 + 3432.81i −0.0482367 + 0.273564i
\(541\) −3073.31 5323.12i −0.244236 0.423030i 0.717680 0.696373i \(-0.245204\pi\)
−0.961917 + 0.273343i \(0.911871\pi\)
\(542\) −7601.98 + 6378.82i −0.602459 + 0.505523i
\(543\) 2954.03 1075.18i 0.233461 0.0849730i
\(544\) 1573.71 2725.75i 0.124030 0.214827i
\(545\) 6585.09 + 11405.7i 0.517567 + 0.896453i
\(546\) 1199.23 + 1006.28i 0.0939971 + 0.0788729i
\(547\) 1072.87 1858.27i 0.0838624 0.145254i −0.821044 0.570866i \(-0.806608\pi\)
0.904906 + 0.425612i \(0.139941\pi\)
\(548\) 553.952 + 3141.62i 0.0431819 + 0.244897i
\(549\) −1711.92 −0.133084
\(550\) −1246.94 7071.76i −0.0966723 0.548256i
\(551\) −2559.13 + 2147.36i −0.197863 + 0.166027i
\(552\) 2961.63 + 1077.94i 0.228361 + 0.0831165i
\(553\) 3238.39 1178.68i 0.249024 0.0906374i
\(554\) −7237.25 −0.555020
\(555\) 1291.09 + 3745.50i 0.0987455 + 0.286464i
\(556\) 4789.45 0.365320
\(557\) 19049.4 6933.42i 1.44910 0.527430i 0.506762 0.862086i \(-0.330842\pi\)
0.942340 + 0.334656i \(0.108620\pi\)
\(558\) 5082.00 + 1849.70i 0.385552 + 0.140330i
\(559\) 16841.3 14131.5i 1.27426 1.06923i
\(560\) −168.234 954.104i −0.0126950 0.0719969i
\(561\) −13354.9 −1.00507
\(562\) −1929.31 10941.6i −0.144809 0.821255i
\(563\) 3621.93 6273.36i 0.271130 0.469611i −0.698022 0.716077i \(-0.745936\pi\)
0.969151 + 0.246466i \(0.0792694\pi\)
\(564\) 379.308 + 318.277i 0.0283187 + 0.0237622i
\(565\) −3396.28 5882.53i −0.252890 0.438018i
\(566\) 688.654 1192.78i 0.0511418 0.0885803i
\(567\) 2639.22 960.598i 0.195479 0.0711487i
\(568\) −3211.74 + 2694.97i −0.237256 + 0.199081i
\(569\) 39.7341 + 68.8214i 0.00292749 + 0.00507055i 0.867485 0.497463i \(-0.165735\pi\)
−0.864558 + 0.502533i \(0.832401\pi\)
\(570\) 605.070 3431.52i 0.0444624 0.252159i
\(571\) 626.439 3552.71i 0.0459119 0.260379i −0.953208 0.302314i \(-0.902241\pi\)
0.999120 + 0.0419346i \(0.0133521\pi\)
\(572\) −9934.65 8336.16i −0.726204 0.609357i
\(573\) 6963.80 + 2534.62i 0.507708 + 0.184791i
\(574\) 4470.56 + 1627.15i 0.325083 + 0.118321i
\(575\) 7980.32 + 6696.28i 0.578787 + 0.485660i
\(576\) −250.110 + 1418.45i −0.0180925 + 0.102607i
\(577\) −3440.76 + 19513.5i −0.248250 + 1.40790i 0.564571 + 0.825385i \(0.309042\pi\)
−0.812821 + 0.582514i \(0.802069\pi\)
\(578\) −4761.12 8246.50i −0.342624 0.593441i
\(579\) 942.547 790.891i 0.0676527 0.0567674i
\(580\) 1053.40 383.407i 0.0754141 0.0274485i
\(581\) 2315.56 4010.66i 0.165345 0.286386i
\(582\) 22.0533 + 38.1974i 0.00157068 + 0.00272050i
\(583\) −2705.09 2269.84i −0.192167 0.161247i
\(584\) 2465.44 4270.26i 0.174693 0.302576i
\(585\) 1642.64 + 9315.90i 0.116094 + 0.658402i
\(586\) 8253.91 0.581853
\(587\) −85.6875 485.958i −0.00602505 0.0341697i 0.981647 0.190707i \(-0.0610780\pi\)
−0.987672 + 0.156537i \(0.949967\pi\)
\(588\) −1882.75 + 1579.82i −0.132047 + 0.110800i
\(589\) −11174.8 4067.31i −0.781750 0.284534i
\(590\) 10887.9 3962.87i 0.759741 0.276523i
\(591\) −11225.4 −0.781307
\(592\) 1173.52 + 3404.41i 0.0814717 + 0.236352i
\(593\) 14357.3 0.994240 0.497120 0.867682i \(-0.334391\pi\)
0.497120 + 0.867682i \(0.334391\pi\)
\(594\) 12632.8 4597.96i 0.872610 0.317604i
\(595\) −5596.49 2036.96i −0.385603 0.140348i
\(596\) −7197.77 + 6039.65i −0.494685 + 0.415090i
\(597\) −632.342 3586.19i −0.0433501 0.245851i
\(598\) 18814.3 1.28658
\(599\) 3345.96 + 18975.9i 0.228234 + 1.29438i 0.856406 + 0.516304i \(0.172692\pi\)
−0.628172 + 0.778075i \(0.716196\pi\)
\(600\) 475.435 823.477i 0.0323492 0.0560305i
\(601\) −14166.4 11887.1i −0.961500 0.806794i 0.0196965 0.999806i \(-0.493730\pi\)
−0.981196 + 0.193012i \(0.938174\pi\)
\(602\) −3167.04 5485.48i −0.214417 0.371381i
\(603\) −7445.41 + 12895.8i −0.502820 + 0.870911i
\(604\) −5330.54 + 1940.16i −0.359100 + 0.130702i
\(605\) 17621.8 14786.4i 1.18418 0.993642i
\(606\) −1213.38 2101.63i −0.0813368 0.140879i
\(607\) −1021.49 + 5793.17i −0.0683049 + 0.387376i 0.931421 + 0.363945i \(0.118570\pi\)
−0.999725 + 0.0234316i \(0.992541\pi\)
\(608\) 549.969 3119.03i 0.0366845 0.208048i
\(609\) 399.788 + 335.462i 0.0266014 + 0.0223212i
\(610\) −1186.99 432.029i −0.0787865 0.0286759i
\(611\) 2777.59 + 1010.96i 0.183911 + 0.0669380i
\(612\) 6782.67 + 5691.34i 0.447996 + 0.375913i
\(613\) 3329.21 18880.9i 0.219356 1.24403i −0.653828 0.756643i \(-0.726838\pi\)
0.873185 0.487389i \(-0.162051\pi\)
\(614\) −2477.95 + 14053.1i −0.162869 + 0.923678i
\(615\) −2870.83 4972.43i −0.188233 0.326029i
\(616\) −2862.29 + 2401.75i −0.187216 + 0.157093i
\(617\) 8248.04 3002.04i 0.538174 0.195879i −0.0586103 0.998281i \(-0.518667\pi\)
0.596784 + 0.802402i \(0.296445\pi\)
\(618\) −1630.64 + 2824.34i −0.106139 + 0.183838i
\(619\) 1880.60 + 3257.29i 0.122112 + 0.211505i 0.920601 0.390506i \(-0.127700\pi\)
−0.798488 + 0.602011i \(0.794367\pi\)
\(620\) 3056.89 + 2565.04i 0.198012 + 0.166152i
\(621\) −9751.57 + 16890.2i −0.630140 + 1.09143i
\(622\) 2619.21 + 14854.3i 0.168844 + 0.957560i
\(623\) −3941.90 −0.253498
\(624\) −298.204 1691.20i −0.0191310 0.108497i
\(625\) −4193.49 + 3518.76i −0.268383 + 0.225200i
\(626\) −13377.0 4868.83i −0.854077 0.310858i
\(627\) −12628.1 + 4596.25i −0.804333 + 0.292753i
\(628\) −11716.9 −0.744514
\(629\) 21731.2 + 4216.51i 1.37755 + 0.267287i
\(630\) 2725.43 0.172355
\(631\) −26793.8 + 9752.15i −1.69040 + 0.615257i −0.994676 0.103049i \(-0.967140\pi\)
−0.695727 + 0.718306i \(0.744918\pi\)
\(632\) −3552.41 1292.97i −0.223588 0.0813792i
\(633\) −1808.26 + 1517.31i −0.113542 + 0.0952728i
\(634\) 659.148 + 3738.21i 0.0412904 + 0.234169i
\(635\) −1430.96 −0.0894266
\(636\) −81.1976 460.494i −0.00506241 0.0287104i
\(637\) −7335.92 + 12706.2i −0.456295 + 0.790325i
\(638\) −3311.91 2779.02i −0.205517 0.172449i
\(639\) −5897.22 10214.3i −0.365086 0.632348i
\(640\) −531.384 + 920.383i −0.0328200 + 0.0568459i
\(641\) 2601.46 946.853i 0.160298 0.0583439i −0.260625 0.965440i \(-0.583928\pi\)
0.420923 + 0.907096i \(0.361706\pi\)
\(642\) −4473.08 + 3753.36i −0.274982 + 0.230737i
\(643\) 884.736 + 1532.41i 0.0542622 + 0.0939848i 0.891881 0.452271i \(-0.149386\pi\)
−0.837618 + 0.546256i \(0.816053\pi\)
\(644\) 941.285 5338.29i 0.0575960 0.326643i
\(645\) −1327.44 + 7528.31i −0.0810357 + 0.459576i
\(646\) −14914.5 12514.7i −0.908361 0.762205i
\(647\) −14315.7 5210.48i −0.869871 0.316607i −0.131756 0.991282i \(-0.542062\pi\)
−0.738115 + 0.674675i \(0.764284\pi\)
\(648\) −2895.14 1053.74i −0.175512 0.0638812i
\(649\) −34231.7 28723.8i −2.07043 1.73730i
\(650\) 985.679 5590.07i 0.0594793 0.337324i
\(651\) −322.599 + 1829.55i −0.0194219 + 0.110147i
\(652\) 1636.02 + 2833.66i 0.0982689 + 0.170207i
\(653\) 5582.87 4684.58i 0.334570 0.280738i −0.459989 0.887925i \(-0.652147\pi\)
0.794559 + 0.607187i \(0.207702\pi\)
\(654\) 6320.32 2300.41i 0.377896 0.137543i
\(655\) −622.439 + 1078.10i −0.0371309 + 0.0643125i
\(656\) −2609.40 4519.61i −0.155305 0.268996i
\(657\) 10626.0 + 8916.25i 0.630988 + 0.529462i
\(658\) 425.809 737.523i 0.0252276 0.0436955i
\(659\) −2469.82 14007.0i −0.145995 0.827976i −0.966563 0.256428i \(-0.917454\pi\)
0.820569 0.571548i \(-0.193657\pi\)
\(660\) 4509.43 0.265954
\(661\) 2030.21 + 11513.9i 0.119464 + 0.677516i 0.984443 + 0.175706i \(0.0562209\pi\)
−0.864978 + 0.501809i \(0.832668\pi\)
\(662\) 3325.70 2790.59i 0.195252 0.163836i
\(663\) −9920.08 3610.61i −0.581092 0.211500i
\(664\) −4773.81 + 1737.53i −0.279006 + 0.101550i
\(665\) −5992.97 −0.349470
\(666\) −10004.8 + 1588.07i −0.582102 + 0.0923970i
\(667\) 6272.14 0.364105
\(668\) 1558.04 567.082i 0.0902433 0.0328459i
\(669\) −6016.73 2189.91i −0.347713 0.126557i
\(670\) −8416.86 + 7062.58i −0.485331 + 0.407241i
\(671\) 845.955 + 4797.65i 0.0486702 + 0.276023i
\(672\) −494.772 −0.0284022
\(673\) 691.713 + 3922.90i 0.0396190 + 0.224690i 0.998188 0.0601694i \(-0.0191641\pi\)
−0.958569 + 0.284860i \(0.908053\pi\)
\(674\) −6704.48 + 11612.5i −0.383156 + 0.663646i
\(675\) 4507.49 + 3782.23i 0.257027 + 0.215672i
\(676\) −731.758 1267.44i −0.0416339 0.0721121i
\(677\) 5605.27 9708.61i 0.318210 0.551155i −0.661905 0.749588i \(-0.730252\pi\)
0.980115 + 0.198432i \(0.0635850\pi\)
\(678\) −3259.72 + 1186.44i −0.184644 + 0.0672051i
\(679\) 58.1117 48.7615i 0.00328442 0.00275596i
\(680\) 3266.58 + 5657.89i 0.184217 + 0.319074i
\(681\) 1165.83 6611.74i 0.0656015 0.372045i
\(682\) 2672.47 15156.3i 0.150050 0.850975i
\(683\) 10042.0 + 8426.21i 0.562584 + 0.472064i 0.879176 0.476498i \(-0.158094\pi\)
−0.316591 + 0.948562i \(0.602538\pi\)
\(684\) 8372.30 + 3047.27i 0.468016 + 0.170344i
\(685\) −6222.37 2264.76i −0.347073 0.126324i
\(686\) 7070.60 + 5932.94i 0.393523 + 0.330205i
\(687\) 1879.02 10656.5i 0.104351 0.591804i
\(688\) −1206.56 + 6842.73i −0.0668599 + 0.379181i
\(689\) −1395.69 2417.40i −0.0771718 0.133665i
\(690\) −5011.49 + 4205.14i −0.276499 + 0.232010i
\(691\) −8728.36 + 3176.86i −0.480525 + 0.174897i −0.570914 0.821010i \(-0.693411\pi\)
0.0903894 + 0.995907i \(0.471189\pi\)
\(692\) −7279.34 + 12608.2i −0.399883 + 0.692618i
\(693\) −5255.59 9102.95i −0.288086 0.498979i
\(694\) −10330.1 8668.02i −0.565024 0.474112i
\(695\) −4970.78 + 8609.64i −0.271298 + 0.469902i
\(696\) −99.4123 563.795i −0.00541410 0.0307049i
\(697\) −32081.6 −1.74344
\(698\) 3662.96 + 20773.7i 0.198632 + 1.12650i
\(699\) 10139.8 8508.27i 0.548671 0.460390i
\(700\) −1536.79 559.344i −0.0829786 0.0302017i
\(701\) −21784.6 + 7928.94i −1.17374 + 0.427207i −0.853987 0.520294i \(-0.825822\pi\)
−0.319754 + 0.947501i \(0.603600\pi\)
\(702\) 10626.8 0.571344
\(703\) 21999.7 3492.01i 1.18028 0.187345i
\(704\) 4098.78 0.219430
\(705\) −965.811 + 351.527i −0.0515951 + 0.0187791i
\(706\) −7384.73 2687.82i −0.393666 0.143283i
\(707\) −3197.32 + 2682.87i −0.170082 + 0.142715i
\(708\) −1027.52 5827.34i −0.0545430 0.309329i
\(709\) 23492.2 1.24439 0.622193 0.782864i \(-0.286242\pi\)
0.622193 + 0.782864i \(0.286242\pi\)
\(710\) −1511.21 8570.49i −0.0798798 0.453021i
\(711\) 5317.39 9209.99i 0.280475 0.485797i
\(712\) 3312.49 + 2779.51i 0.174355 + 0.146301i
\(713\) 11163.6 + 19335.8i 0.586365 + 1.01561i
\(714\) −1520.76 + 2634.04i −0.0797102 + 0.138062i
\(715\) 25296.0 9207.00i 1.32310 0.481570i
\(716\) −5465.96 + 4586.49i −0.285297 + 0.239392i
\(717\) 3974.14 + 6883.41i 0.206997 + 0.358529i
\(718\) 1412.12 8008.55i 0.0733983 0.416262i
\(719\) −588.044 + 3334.96i −0.0305012 + 0.172981i −0.996253 0.0864868i \(-0.972436\pi\)
0.965752 + 0.259468i \(0.0835471\pi\)
\(720\) −2290.25 1921.75i −0.118545 0.0994714i
\(721\) 5270.83 + 1918.43i 0.272255 + 0.0990928i
\(722\) −5519.18 2008.82i −0.284491 0.103546i
\(723\) −6728.18 5645.61i −0.346091 0.290405i
\(724\) −1029.91 + 5840.91i −0.0528679 + 0.299828i
\(725\) 328.596 1863.56i 0.0168328 0.0954633i
\(726\) −5873.90 10173.9i −0.300277 0.520095i
\(727\) 19706.3 16535.6i 1.00532 0.843564i 0.0176074 0.999845i \(-0.494395\pi\)
0.987713 + 0.156281i \(0.0499507\pi\)
\(728\) −2775.47 + 1010.19i −0.141299 + 0.0514286i
\(729\) 1329.54 2302.83i 0.0675477 0.116996i
\(730\) 5117.55 + 8863.85i 0.259464 + 0.449405i
\(731\) 32720.3 + 27455.6i 1.65555 + 1.38917i
\(732\) −322.546 + 558.667i −0.0162864 + 0.0282089i
\(733\) −474.930 2693.46i −0.0239317 0.135724i 0.970501 0.241097i \(-0.0775073\pi\)
−0.994433 + 0.105374i \(0.966396\pi\)
\(734\) 2051.45 0.103161
\(735\) −885.887 5024.11i −0.0444577 0.252132i
\(736\) −4555.11 + 3822.19i −0.228130 + 0.191424i
\(737\) 39819.7 + 14493.2i 1.99020 + 0.724374i
\(738\) 13795.8 5021.27i 0.688118 0.250454i
\(739\) 36265.1 1.80519 0.902594 0.430493i \(-0.141660\pi\)
0.902594 + 0.430493i \(0.141660\pi\)
\(740\) −7337.80 1423.76i −0.364517 0.0707275i
\(741\) −10622.9 −0.526640
\(742\) −755.727 + 275.062i −0.0373903 + 0.0136090i
\(743\) 16703.6 + 6079.63i 0.824761 + 0.300188i 0.719707 0.694278i \(-0.244276\pi\)
0.105054 + 0.994467i \(0.466498\pi\)
\(744\) 1561.14 1309.95i 0.0769275 0.0645498i
\(745\) −3386.74 19207.2i −0.166551 0.944559i
\(746\) 17291.4 0.848639
\(747\) −2481.65 14074.2i −0.121551 0.689353i
\(748\) 12598.2 21820.8i 0.615826 1.06664i
\(749\) 7693.30 + 6455.45i 0.375310 + 0.314922i
\(750\) 3187.25 + 5520.48i 0.155176 + 0.268772i
\(751\) −8167.02 + 14145.7i −0.396829 + 0.687328i −0.993333 0.115282i \(-0.963223\pi\)
0.596504 + 0.802610i \(0.296556\pi\)
\(752\) −877.859 + 319.514i −0.0425694 + 0.0154940i
\(753\) −7135.06 + 5987.03i −0.345307 + 0.289747i
\(754\) −1708.77 2959.68i −0.0825330 0.142951i
\(755\) 2044.67 11595.9i 0.0985605 0.558965i
\(756\) 531.662 3015.21i 0.0255772 0.145056i
\(757\) 9619.73 + 8071.91i 0.461869 + 0.387554i 0.843818 0.536629i \(-0.180303\pi\)
−0.381949 + 0.924183i \(0.624747\pi\)
\(758\) −11100.2 4040.13i −0.531895 0.193594i
\(759\) 23709.1 + 8629.40i 1.13384 + 0.412684i
\(760\) 5036.05 + 4225.75i 0.240364 + 0.201689i
\(761\) 5198.14 29480.1i 0.247612 1.40427i −0.566737 0.823899i \(-0.691794\pi\)
0.814349 0.580376i \(-0.197094\pi\)
\(762\) −126.899 + 719.681i −0.00603290 + 0.0342143i
\(763\) −5784.02 10018.2i −0.274437 0.475339i
\(764\) −10710.6 + 8987.28i −0.507195 + 0.425587i
\(765\) −17270.3 + 6285.89i −0.816223 + 0.297081i
\(766\) −8667.20 + 15012.0i −0.408823 + 0.708103i
\(767\) −17661.7 30591.0i −0.831458 1.44013i
\(768\) 415.770 + 348.873i 0.0195349 + 0.0163917i
\(769\) 7282.61 12613.8i 0.341505 0.591504i −0.643207 0.765692i \(-0.722397\pi\)
0.984712 + 0.174188i \(0.0557300\pi\)
\(770\) −1346.79 7638.01i −0.0630322 0.357474i