Properties

Label 177.4.f.a.2.13
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.13
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.194915 + 3.59500i) q^{2} +(3.72957 - 3.61806i) q^{3} +(-4.93296 - 0.536492i) q^{4} +(-1.29349 + 3.83895i) q^{5} +(12.2800 + 14.1130i) q^{6} +(12.2031 + 17.9982i) q^{7} +(-1.76949 + 10.7934i) q^{8} +(0.819319 - 26.9876i) q^{9} +O(q^{10})\) \(q+(-0.194915 + 3.59500i) q^{2} +(3.72957 - 3.61806i) q^{3} +(-4.93296 - 0.536492i) q^{4} +(-1.29349 + 3.83895i) q^{5} +(12.2800 + 14.1130i) q^{6} +(12.2031 + 17.9982i) q^{7} +(-1.76949 + 10.7934i) q^{8} +(0.819319 - 26.9876i) q^{9} +(-13.5489 - 5.39838i) q^{10} +(0.0389942 - 0.00858328i) q^{11} +(-20.3389 + 15.8469i) q^{12} +(48.9858 - 41.6089i) q^{13} +(-67.0820 + 40.3619i) q^{14} +(9.06536 + 18.9975i) q^{15} +(-77.2257 - 16.9987i) q^{16} +(69.5135 + 47.1313i) q^{17} +(96.8607 + 8.20575i) q^{18} +(-58.6727 + 110.668i) q^{19} +(8.44031 - 18.2434i) q^{20} +(110.630 + 22.9740i) q^{21} +(0.0232564 + 0.141857i) q^{22} +(-117.553 + 111.353i) q^{23} +(32.4517 + 46.6568i) q^{24} +(86.4473 + 65.7155i) q^{25} +(140.036 + 184.214i) q^{26} +(-94.5869 - 103.616i) q^{27} +(-50.5413 - 95.3311i) q^{28} +(112.692 - 6.11001i) q^{29} +(-70.0632 + 28.8871i) q^{30} +(64.4505 - 34.1695i) q^{31} +(52.7541 - 190.003i) q^{32} +(0.114377 - 0.173095i) q^{33} +(-182.987 + 240.715i) q^{34} +(-84.8785 + 23.5664i) q^{35} +(-18.5203 + 132.689i) q^{36} +(-419.849 + 68.8307i) q^{37} +(-386.417 - 232.499i) q^{38} +(32.1523 - 332.416i) q^{39} +(-39.1464 - 20.7541i) q^{40} +(357.050 - 376.933i) q^{41} +(-104.155 + 393.239i) q^{42} +(-0.0374982 + 0.170356i) q^{43} +(-0.196962 + 0.0214209i) q^{44} +(102.544 + 38.0535i) q^{45} +(-377.400 - 444.310i) q^{46} +(209.966 - 70.7458i) q^{47} +(-349.521 + 216.010i) q^{48} +(-48.0617 + 120.626i) q^{49} +(-253.097 + 297.969i) q^{50} +(429.779 - 75.7245i) q^{51} +(-263.968 + 178.975i) q^{52} +(-334.875 + 133.427i) q^{53} +(390.937 - 319.844i) q^{54} +(-0.0174880 + 0.160799i) q^{55} +(-215.854 + 99.8649i) q^{56} +(181.581 + 625.026i) q^{57} +406.321i q^{58} +(-207.892 - 402.691i) q^{59} +(-34.5271 - 98.5776i) q^{60} +(819.072 + 44.4088i) q^{61} +(110.277 + 238.360i) q^{62} +(495.725 - 314.584i) q^{63} +(73.2983 + 24.6971i) q^{64} +(96.3716 + 241.874i) q^{65} +(0.599985 + 0.444924i) q^{66} +(173.696 + 28.4761i) q^{67} +(-317.622 - 269.791i) q^{68} +(-35.5434 + 840.612i) q^{69} +(-68.1772 - 309.732i) q^{70} +(-251.596 - 746.709i) q^{71} +(289.838 + 56.5974i) q^{72} +(-544.975 - 905.755i) q^{73} +(-165.612 - 1522.77i) q^{74} +(560.173 - 67.6809i) q^{75} +(348.803 - 514.446i) q^{76} +(0.630332 + 0.597082i) q^{77} +(1188.77 + 180.381i) q^{78} +(386.741 + 178.926i) q^{79} +(165.148 - 274.478i) q^{80} +(-727.657 - 44.2229i) q^{81} +(1285.48 + 1357.06i) q^{82} +(9.22769 + 33.2351i) q^{83} +(-533.411 - 172.682i) q^{84} +(-270.850 + 205.895i) q^{85} +(-0.605121 - 0.168011i) q^{86} +(398.188 - 430.516i) q^{87} +(0.0236429 + 0.436068i) q^{88} +(-64.3193 - 1186.30i) q^{89} +(-156.790 + 361.229i) q^{90} +(1346.66 + 373.898i) q^{91} +(639.627 - 486.232i) q^{92} +(116.745 - 360.623i) q^{93} +(213.406 + 768.619i) q^{94} +(-348.957 - 368.390i) q^{95} +(-490.692 - 899.497i) q^{96} +(278.074 - 462.162i) q^{97} +(-424.283 - 196.294i) q^{98} +(-0.199693 - 1.05939i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.194915 + 3.59500i −0.0689130 + 1.27103i 0.735733 + 0.677272i \(0.236838\pi\)
−0.804646 + 0.593755i \(0.797645\pi\)
\(3\) 3.72957 3.61806i 0.717755 0.696295i
\(4\) −4.93296 0.536492i −0.616620 0.0670615i
\(5\) −1.29349 + 3.83895i −0.115693 + 0.343366i −0.989819 0.142335i \(-0.954539\pi\)
0.874125 + 0.485701i \(0.161436\pi\)
\(6\) 12.2800 + 14.1130i 0.835547 + 0.960269i
\(7\) 12.2031 + 17.9982i 0.658903 + 0.971809i 0.999501 + 0.0315999i \(0.0100602\pi\)
−0.340598 + 0.940209i \(0.610629\pi\)
\(8\) −1.76949 + 10.7934i −0.0782010 + 0.477005i
\(9\) 0.819319 26.9876i 0.0303452 0.999539i
\(10\) −13.5489 5.39838i −0.428454 0.170712i
\(11\) 0.0389942 0.00858328i 0.00106884 0.000235269i −0.214436 0.976738i \(-0.568791\pi\)
0.215505 + 0.976503i \(0.430860\pi\)
\(12\) −20.3389 + 15.8469i −0.489277 + 0.381216i
\(13\) 48.9858 41.6089i 1.04509 0.887710i 0.0512698 0.998685i \(-0.483673\pi\)
0.993823 + 0.110975i \(0.0353973\pi\)
\(14\) −67.0820 + 40.3619i −1.28060 + 0.770512i
\(15\) 9.06536 + 18.9975i 0.156044 + 0.327009i
\(16\) −77.2257 16.9987i −1.20665 0.265604i
\(17\) 69.5135 + 47.1313i 0.991736 + 0.672414i 0.945196 0.326503i \(-0.105870\pi\)
0.0465396 + 0.998916i \(0.485181\pi\)
\(18\) 96.8607 + 8.20575i 1.26835 + 0.107451i
\(19\) −58.6727 + 110.668i −0.708444 + 1.33627i 0.223871 + 0.974619i \(0.428131\pi\)
−0.932315 + 0.361648i \(0.882214\pi\)
\(20\) 8.44031 18.2434i 0.0943655 0.203968i
\(21\) 110.630 + 22.9740i 1.14960 + 0.238730i
\(22\) 0.0232564 + 0.141857i 0.000225376 + 0.00137473i
\(23\) −117.553 + 111.353i −1.06572 + 1.00951i −0.0657897 + 0.997834i \(0.520957\pi\)
−0.999932 + 0.0116716i \(0.996285\pi\)
\(24\) 32.4517 + 46.6568i 0.276007 + 0.396824i
\(25\) 86.4473 + 65.7155i 0.691578 + 0.525724i
\(26\) 140.036 + 184.214i 1.05628 + 1.38952i
\(27\) −94.5869 103.616i −0.674194 0.738554i
\(28\) −50.5413 95.3311i −0.341122 0.643424i
\(29\) 112.692 6.11001i 0.721602 0.0391241i 0.310320 0.950632i \(-0.399564\pi\)
0.411282 + 0.911508i \(0.365081\pi\)
\(30\) −70.0632 + 28.8871i −0.426391 + 0.175801i
\(31\) 64.4505 34.1695i 0.373408 0.197968i −0.271126 0.962544i \(-0.587396\pi\)
0.644534 + 0.764575i \(0.277051\pi\)
\(32\) 52.7541 190.003i 0.291428 1.04963i
\(33\) 0.114377 0.173095i 0.000603347 0.000913092i
\(34\) −182.987 + 240.715i −0.922999 + 1.21418i
\(35\) −84.8785 + 23.5664i −0.409917 + 0.113813i
\(36\) −18.5203 + 132.689i −0.0857421 + 0.614301i
\(37\) −419.849 + 68.8307i −1.86548 + 0.305830i −0.985564 0.169302i \(-0.945849\pi\)
−0.879915 + 0.475132i \(0.842400\pi\)
\(38\) −386.417 232.499i −1.64961 0.992537i
\(39\) 32.1523 332.416i 0.132013 1.36485i
\(40\) −39.1464 20.7541i −0.154740 0.0820379i
\(41\) 357.050 376.933i 1.36004 1.43578i 0.571840 0.820365i \(-0.306230\pi\)
0.788203 0.615415i \(-0.211012\pi\)
\(42\) −104.155 + 393.239i −0.382654 + 1.44472i
\(43\) −0.0374982 + 0.170356i −0.000132986 + 0.000604163i −0.976687 0.214668i \(-0.931133\pi\)
0.976554 + 0.215273i \(0.0690640\pi\)
\(44\) −0.196962 + 0.0214209i −0.000674844 + 7.33937e-5i
\(45\) 102.544 + 38.0535i 0.339697 + 0.126060i
\(46\) −377.400 444.310i −1.20967 1.42413i
\(47\) 209.966 70.7458i 0.651632 0.219560i 0.0259798 0.999662i \(-0.491729\pi\)
0.625652 + 0.780102i \(0.284833\pi\)
\(48\) −349.521 + 216.010i −1.05102 + 0.649548i
\(49\) −48.0617 + 120.626i −0.140122 + 0.351679i
\(50\) −253.097 + 297.969i −0.715868 + 0.842784i
\(51\) 429.779 75.7245i 1.18002 0.207913i
\(52\) −263.968 + 178.975i −0.703957 + 0.477295i
\(53\) −334.875 + 133.427i −0.867900 + 0.345803i −0.761222 0.648491i \(-0.775400\pi\)
−0.106677 + 0.994294i \(0.534021\pi\)
\(54\) 390.937 319.844i 0.985182 0.806023i
\(55\) −0.0174880 + 0.160799i −4.28741e−5 + 0.000394221i
\(56\) −215.854 + 99.8649i −0.515085 + 0.238304i
\(57\) 181.581 + 625.026i 0.421947 + 1.45240i
\(58\) 406.321i 0.919872i
\(59\) −207.892 402.691i −0.458732 0.888574i
\(60\) −34.5271 98.5776i −0.0742905 0.212105i
\(61\) 819.072 + 44.4088i 1.71920 + 0.0932125i 0.887150 0.461482i \(-0.152682\pi\)
0.832054 + 0.554694i \(0.187165\pi\)
\(62\) 110.277 + 238.360i 0.225890 + 0.488254i
\(63\) 495.725 314.584i 0.991356 0.629110i
\(64\) 73.2983 + 24.6971i 0.143161 + 0.0482364i
\(65\) 96.3716 + 241.874i 0.183899 + 0.461551i
\(66\) 0.599985 + 0.444924i 0.00111899 + 0.000829793i
\(67\) 173.696 + 28.4761i 0.316722 + 0.0519240i 0.318046 0.948075i \(-0.396973\pi\)
−0.00132423 + 0.999999i \(0.500422\pi\)
\(68\) −317.622 269.791i −0.566431 0.481131i
\(69\) −35.5434 + 840.612i −0.0620134 + 1.46663i
\(70\) −68.1772 309.732i −0.116410 0.528858i
\(71\) −251.596 746.709i −0.420548 1.24814i −0.923423 0.383783i \(-0.874621\pi\)
0.502876 0.864359i \(-0.332275\pi\)
\(72\) 289.838 + 56.5974i 0.474413 + 0.0926398i
\(73\) −544.975 905.755i −0.873760 1.45220i −0.891834 0.452363i \(-0.850581\pi\)
0.0180739 0.999837i \(-0.494247\pi\)
\(74\) −165.612 1522.77i −0.260162 2.39215i
\(75\) 560.173 67.6809i 0.862443 0.104202i
\(76\) 348.803 514.446i 0.526453 0.776460i
\(77\) 0.630332 + 0.597082i 0.000932896 + 0.000883686i
\(78\) 1188.77 + 180.381i 1.72567 + 0.261847i
\(79\) 386.741 + 178.926i 0.550782 + 0.254819i 0.675483 0.737375i \(-0.263935\pi\)
−0.124701 + 0.992194i \(0.539797\pi\)
\(80\) 165.148 274.478i 0.230801 0.383594i
\(81\) −727.657 44.2229i −0.998158 0.0606624i
\(82\) 1285.48 + 1357.06i 1.73119 + 1.82759i
\(83\) 9.22769 + 33.2351i 0.0122033 + 0.0439522i 0.969401 0.245483i \(-0.0789464\pi\)
−0.957198 + 0.289435i \(0.906533\pi\)
\(84\) −533.411 172.682i −0.692856 0.224299i
\(85\) −270.850 + 205.895i −0.345621 + 0.262734i
\(86\) −0.605121 0.168011i −0.000758743 0.000210664i
\(87\) 398.188 430.516i 0.490692 0.530530i
\(88\) 0.0236429 + 0.436068i 2.86403e−5 + 0.000528239i
\(89\) −64.3193 1186.30i −0.0766048 1.41289i −0.743995 0.668185i \(-0.767071\pi\)
0.667390 0.744708i \(-0.267411\pi\)
\(90\) −156.790 + 361.229i −0.183635 + 0.423076i
\(91\) 1346.66 + 373.898i 1.55130 + 0.430716i
\(92\) 639.627 486.232i 0.724845 0.551013i
\(93\) 116.745 360.623i 0.130171 0.402095i
\(94\) 213.406 + 768.619i 0.234161 + 0.843372i
\(95\) −348.957 368.390i −0.376866 0.397852i
\(96\) −490.692 899.497i −0.521678 0.956297i
\(97\) 278.074 462.162i 0.291073 0.483768i −0.676471 0.736469i \(-0.736492\pi\)
0.967544 + 0.252702i \(0.0813191\pi\)
\(98\) −424.283 196.294i −0.437337 0.202334i
\(99\) −0.199693 1.05939i −0.000202726 0.00107548i
\(100\) −391.185 370.550i −0.391185 0.370550i
\(101\) 758.871 1119.25i 0.747629 1.10267i −0.243517 0.969897i \(-0.578301\pi\)
0.991146 0.132774i \(-0.0423883\pi\)
\(102\) 188.459 + 1559.82i 0.182944 + 1.51417i
\(103\) −17.1030 157.260i −0.0163613 0.150439i 0.983108 0.183029i \(-0.0585901\pi\)
−0.999469 + 0.0325895i \(0.989625\pi\)
\(104\) 362.422 + 602.349i 0.341715 + 0.567935i
\(105\) −231.295 + 394.988i −0.214972 + 0.367113i
\(106\) −414.397 1229.89i −0.379715 1.12695i
\(107\) 209.575 + 952.110i 0.189350 + 0.860224i 0.971482 + 0.237112i \(0.0762008\pi\)
−0.782133 + 0.623112i \(0.785868\pi\)
\(108\) 411.004 + 561.880i 0.366194 + 0.500620i
\(109\) 342.524 + 290.942i 0.300989 + 0.255663i 0.785135 0.619325i \(-0.212594\pi\)
−0.484145 + 0.874988i \(0.660869\pi\)
\(110\) −0.574665 0.0942116i −0.000498111 8.16611e-5i
\(111\) −1316.82 + 1775.75i −1.12601 + 1.51844i
\(112\) −636.445 1597.36i −0.536950 1.34764i
\(113\) −117.293 39.5207i −0.0976463 0.0329009i 0.270054 0.962845i \(-0.412958\pi\)
−0.367701 + 0.929944i \(0.619855\pi\)
\(114\) −2282.36 + 530.957i −1.87511 + 0.436217i
\(115\) −275.422 595.315i −0.223333 0.482725i
\(116\) −559.186 30.3182i −0.447578 0.0242670i
\(117\) −1082.79 1356.10i −0.855588 1.07155i
\(118\) 1488.20 668.882i 1.16101 0.521827i
\(119\) 1826.26i 1.40683i
\(120\) −221.089 + 64.2302i −0.168188 + 0.0488616i
\(121\) −1207.98 + 558.872i −0.907574 + 0.419889i
\(122\) −319.300 + 2935.91i −0.236951 + 2.17873i
\(123\) −32.1242 2697.62i −0.0235491 1.97753i
\(124\) −336.264 + 133.980i −0.243527 + 0.0970301i
\(125\) −783.218 + 531.035i −0.560425 + 0.379978i
\(126\) 1034.31 + 1843.45i 0.731298 + 1.30339i
\(127\) −663.975 + 781.692i −0.463923 + 0.546173i −0.943520 0.331316i \(-0.892507\pi\)
0.479596 + 0.877489i \(0.340783\pi\)
\(128\) 480.829 1206.79i 0.332029 0.833330i
\(129\) 0.476505 + 0.771024i 0.000325224 + 0.000526239i
\(130\) −888.324 + 299.311i −0.599317 + 0.201933i
\(131\) −899.644 1059.14i −0.600017 0.706395i 0.375374 0.926873i \(-0.377514\pi\)
−0.975392 + 0.220478i \(0.929238\pi\)
\(132\) −0.657081 + 0.792511i −0.000433269 + 0.000522570i
\(133\) −2707.81 + 294.492i −1.76539 + 0.191998i
\(134\) −136.228 + 618.889i −0.0878230 + 0.398984i
\(135\) 520.124 229.087i 0.331594 0.146049i
\(136\) −631.711 + 666.889i −0.398300 + 0.420480i
\(137\) 314.913 + 166.956i 0.196386 + 0.104117i 0.563699 0.825980i \(-0.309378\pi\)
−0.367314 + 0.930097i \(0.619722\pi\)
\(138\) −3015.08 291.627i −1.85986 0.179891i
\(139\) 218.986 + 131.760i 0.133627 + 0.0804009i 0.580798 0.814048i \(-0.302741\pi\)
−0.447171 + 0.894449i \(0.647568\pi\)
\(140\) 431.346 70.7155i 0.260395 0.0426897i
\(141\) 527.120 1023.52i 0.314833 0.611319i
\(142\) 2733.46 758.942i 1.61540 0.448514i
\(143\) 1.55302 2.04297i 0.000908184 0.00119470i
\(144\) −522.025 + 2070.21i −0.302098 + 1.19804i
\(145\) −122.311 + 440.524i −0.0700507 + 0.252300i
\(146\) 3362.42 1782.64i 1.90600 1.01050i
\(147\) 257.182 + 623.772i 0.144299 + 0.349985i
\(148\) 2108.03 114.294i 1.17080 0.0634790i
\(149\) 676.846 + 1276.67i 0.372143 + 0.701937i 0.996883 0.0788965i \(-0.0251397\pi\)
−0.624739 + 0.780833i \(0.714795\pi\)
\(150\) 134.127 + 2027.02i 0.0730093 + 1.10337i
\(151\) −643.801 846.906i −0.346965 0.456425i 0.589199 0.807988i \(-0.299443\pi\)
−0.936164 + 0.351563i \(0.885650\pi\)
\(152\) −1090.67 829.104i −0.582005 0.442429i
\(153\) 1328.91 1837.39i 0.702198 0.970875i
\(154\) −2.26937 + 2.14967i −0.00118748 + 0.00112484i
\(155\) 47.8086 + 291.620i 0.0247747 + 0.151119i
\(156\) −336.945 + 1622.55i −0.172931 + 0.832743i
\(157\) −9.25674 + 20.0081i −0.00470553 + 0.0101708i −0.909914 0.414797i \(-0.863853\pi\)
0.905208 + 0.424968i \(0.139715\pi\)
\(158\) −718.620 + 1355.46i −0.361838 + 0.682498i
\(159\) −766.195 + 1709.22i −0.382159 + 0.852516i
\(160\) 661.175 + 448.288i 0.326690 + 0.221502i
\(161\) −3438.65 756.905i −1.68325 0.370512i
\(162\) 300.813 2607.31i 0.145890 1.26450i
\(163\) −1024.44 + 616.387i −0.492274 + 0.296191i −0.739962 0.672648i \(-0.765157\pi\)
0.247688 + 0.968840i \(0.420329\pi\)
\(164\) −1963.53 + 1667.84i −0.934916 + 0.794125i
\(165\) 0.516558 + 0.662983i 0.000243721 + 0.000312807i
\(166\) −121.279 + 26.6955i −0.0567053 + 0.0124818i
\(167\) 658.139 + 262.227i 0.304960 + 0.121507i 0.517598 0.855624i \(-0.326826\pi\)
−0.212638 + 0.977131i \(0.568206\pi\)
\(168\) −443.726 + 1153.43i −0.203775 + 0.529695i
\(169\) 312.871 1908.43i 0.142408 0.868653i
\(170\) −687.400 1013.84i −0.310124 0.457399i
\(171\) 2938.60 + 1674.10i 1.31415 + 0.748667i
\(172\) 0.276372 0.820242i 0.000122518 0.000363621i
\(173\) 3428.82 + 372.906i 1.50687 + 0.163882i 0.823970 0.566633i \(-0.191754\pi\)
0.682897 + 0.730514i \(0.260720\pi\)
\(174\) 1470.09 + 1515.40i 0.640502 + 0.660243i
\(175\) −127.837 + 2357.82i −0.0552205 + 1.01848i
\(176\) −3.15726 −0.00135220
\(177\) −2232.31 749.697i −0.947968 0.318366i
\(178\) 4277.29 1.80110
\(179\) 77.3828 1427.24i 0.0323121 0.595961i −0.936879 0.349653i \(-0.886300\pi\)
0.969191 0.246308i \(-0.0792176\pi\)
\(180\) −485.430 242.731i −0.201010 0.100512i
\(181\) 87.7356 + 9.54182i 0.0360295 + 0.00391844i 0.126116 0.992016i \(-0.459749\pi\)
−0.0900865 + 0.995934i \(0.528714\pi\)
\(182\) −1606.65 + 4768.37i −0.654356 + 1.94206i
\(183\) 3215.46 2797.82i 1.29887 1.13017i
\(184\) −993.863 1465.84i −0.398199 0.587299i
\(185\) 278.833 1700.81i 0.110812 0.675924i
\(186\) 1273.69 + 489.990i 0.502103 + 0.193160i
\(187\) 3.11517 + 1.24120i 0.00121820 + 0.000485376i
\(188\) −1073.71 + 236.341i −0.416534 + 0.0916860i
\(189\) 710.653 2966.82i 0.273505 1.14182i
\(190\) 1392.38 1182.70i 0.531652 0.451589i
\(191\) 1499.53 902.236i 0.568074 0.341799i −0.202368 0.979310i \(-0.564864\pi\)
0.770441 + 0.637511i \(0.220036\pi\)
\(192\) 362.726 173.088i 0.136341 0.0650602i
\(193\) −711.235 156.555i −0.265263 0.0583888i 0.0803472 0.996767i \(-0.474397\pi\)
−0.345610 + 0.938378i \(0.612328\pi\)
\(194\) 1607.27 + 1089.76i 0.594823 + 0.403300i
\(195\) 1234.54 + 553.409i 0.453370 + 0.203233i
\(196\) 301.802 569.258i 0.109986 0.207456i
\(197\) −1339.62 + 2895.53i −0.484486 + 1.04720i 0.499064 + 0.866565i \(0.333677\pi\)
−0.983550 + 0.180634i \(0.942185\pi\)
\(198\) 3.84744 0.511406i 0.00138094 0.000183556i
\(199\) −648.768 3957.31i −0.231105 1.40968i −0.806224 0.591610i \(-0.798492\pi\)
0.575119 0.818070i \(-0.304956\pi\)
\(200\) −862.261 + 816.777i −0.304855 + 0.288774i
\(201\) 750.840 522.240i 0.263483 0.183263i
\(202\) 3875.80 + 2946.31i 1.35000 + 1.02624i
\(203\) 1485.16 + 1953.70i 0.513487 + 0.675481i
\(204\) −2160.71 + 142.973i −0.741569 + 0.0490692i
\(205\) 985.183 + 1858.25i 0.335650 + 0.633102i
\(206\) 568.682 30.8331i 0.192340 0.0104284i
\(207\) 2908.82 + 3263.72i 0.976701 + 1.09586i
\(208\) −4490.26 + 2380.58i −1.49684 + 0.793576i
\(209\) −1.33800 + 4.81903i −0.000442829 + 0.00159493i
\(210\) −1374.90 908.497i −0.451796 0.298534i
\(211\) −1243.20 + 1635.40i −0.405618 + 0.533582i −0.952867 0.303388i \(-0.901882\pi\)
0.547249 + 0.836970i \(0.315675\pi\)
\(212\) 1723.51 478.530i 0.558355 0.155026i
\(213\) −3639.98 1874.61i −1.17093 0.603035i
\(214\) −3463.69 + 567.843i −1.10642 + 0.181388i
\(215\) −0.605483 0.364307i −0.000192063 0.000115561i
\(216\) 1285.74 837.566i 0.405017 0.263839i
\(217\) 1401.48 + 743.018i 0.438427 + 0.232439i
\(218\) −1112.70 + 1174.67i −0.345696 + 0.364947i
\(219\) −5309.59 1406.32i −1.63831 0.433929i
\(220\) 0.172535 0.783834i 5.28741e−5 0.000240210i
\(221\) 5366.26 583.616i 1.63336 0.177639i
\(222\) −6127.15 5080.09i −1.85237 1.53583i
\(223\) −2128.55 2505.92i −0.639185 0.752506i 0.343223 0.939254i \(-0.388481\pi\)
−0.982408 + 0.186747i \(0.940205\pi\)
\(224\) 4063.47 1369.14i 1.21206 0.408391i
\(225\) 1844.33 2279.16i 0.546468 0.675306i
\(226\) 164.940 413.967i 0.0485470 0.121844i
\(227\) −464.988 + 547.426i −0.135957 + 0.160061i −0.825927 0.563777i \(-0.809348\pi\)
0.689970 + 0.723838i \(0.257624\pi\)
\(228\) −560.411 3180.65i −0.162781 0.923875i
\(229\) −1627.60 + 1103.54i −0.469672 + 0.318446i −0.772962 0.634453i \(-0.781225\pi\)
0.303289 + 0.952899i \(0.401915\pi\)
\(230\) 2193.84 874.107i 0.628947 0.250595i
\(231\) 4.51114 0.0537202i 0.00128490 1.53010e-5i
\(232\) −133.460 + 1227.15i −0.0377676 + 0.347268i
\(233\) −4654.03 + 2153.19i −1.30857 + 0.605407i −0.945277 0.326269i \(-0.894208\pi\)
−0.363289 + 0.931676i \(0.618346\pi\)
\(234\) 5086.23 3628.30i 1.42093 1.01363i
\(235\) 897.558i 0.249150i
\(236\) 809.482 + 2097.99i 0.223275 + 0.578676i
\(237\) 2089.74 731.938i 0.572756 0.200610i
\(238\) −6565.42 355.967i −1.78812 0.0969491i
\(239\) −1335.44 2886.50i −0.361432 0.781223i −0.999933 0.0116018i \(-0.996307\pi\)
0.638500 0.769622i \(-0.279555\pi\)
\(240\) −377.147 1621.20i −0.101436 0.436033i
\(241\) 146.849 + 49.4791i 0.0392504 + 0.0132250i 0.338858 0.940837i \(-0.389959\pi\)
−0.299608 + 0.954062i \(0.596856\pi\)
\(242\) −1773.69 4451.63i −0.471146 1.18249i
\(243\) −2873.85 + 2467.77i −0.758672 + 0.651472i
\(244\) −4016.63 658.493i −1.05385 0.172769i
\(245\) −400.909 340.535i −0.104543 0.0887999i
\(246\) 9704.22 + 410.321i 2.51512 + 0.106346i
\(247\) 1730.66 + 7862.48i 0.445828 + 2.02542i
\(248\) 254.760 + 756.102i 0.0652311 + 0.193599i
\(249\) 154.662 + 90.5663i 0.0393626 + 0.0230498i
\(250\) −1756.41 2919.18i −0.444341 0.738501i
\(251\) 767.251 + 7054.75i 0.192942 + 1.77407i 0.545333 + 0.838219i \(0.316403\pi\)
−0.352391 + 0.935853i \(0.614631\pi\)
\(252\) −2614.16 + 1285.88i −0.653479 + 0.321440i
\(253\) −3.62814 + 5.35110i −0.000901578 + 0.00132973i
\(254\) −2680.77 2539.36i −0.662229 0.627297i
\(255\) −265.213 + 1747.85i −0.0651306 + 0.429233i
\(256\) 4806.29 + 2223.62i 1.17341 + 0.542877i
\(257\) 340.828 566.460i 0.0827247 0.137489i −0.812733 0.582637i \(-0.802021\pi\)
0.895457 + 0.445147i \(0.146849\pi\)
\(258\) −2.86471 + 1.56275i −0.000691276 + 0.000377104i
\(259\) −6362.26 6716.56i −1.52638 1.61138i
\(260\) −345.634 1244.86i −0.0824435 0.296934i
\(261\) −72.5631 3046.30i −0.0172090 0.722457i
\(262\) 3982.98 3027.78i 0.939196 0.713958i
\(263\) −2378.26 660.321i −0.557604 0.154818i −0.0227177 0.999742i \(-0.507232\pi\)
−0.534887 + 0.844924i \(0.679646\pi\)
\(264\) 1.66590 + 1.54080i 0.000388367 + 0.000359204i
\(265\) −79.0589 1458.15i −0.0183266 0.338014i
\(266\) −530.907 9792.00i −0.122376 2.25709i
\(267\) −4531.98 4191.67i −1.03877 0.960772i
\(268\) −841.560 233.658i −0.191815 0.0532572i
\(269\) 2321.97 1765.12i 0.526294 0.400078i −0.308010 0.951383i \(-0.599663\pi\)
0.834304 + 0.551305i \(0.185870\pi\)
\(270\) 722.189 + 1914.50i 0.162782 + 0.431529i
\(271\) 2211.10 + 7963.65i 0.495626 + 1.78508i 0.610853 + 0.791744i \(0.290827\pi\)
−0.115227 + 0.993339i \(0.536760\pi\)
\(272\) −4567.06 4821.39i −1.01808 1.07478i
\(273\) 6375.24 3477.81i 1.41336 0.771014i
\(274\) −661.590 + 1099.57i −0.145869 + 0.242436i
\(275\) 3.93500 + 1.82052i 0.000862871 + 0.000399206i
\(276\) 626.316 4127.64i 0.136593 0.900198i
\(277\) 2671.48 + 2530.56i 0.579473 + 0.548906i 0.920297 0.391221i \(-0.127947\pi\)
−0.340824 + 0.940127i \(0.610706\pi\)
\(278\) −516.361 + 761.575i −0.111400 + 0.164303i
\(279\) −869.346 1767.36i −0.186546 0.379243i
\(280\) −104.170 957.827i −0.0222334 0.204433i
\(281\) 304.946 + 506.825i 0.0647387 + 0.107597i 0.887536 0.460738i \(-0.152415\pi\)
−0.822797 + 0.568335i \(0.807588\pi\)
\(282\) 3576.82 + 2094.50i 0.755306 + 0.442289i
\(283\) −2262.61 6715.20i −0.475260 1.41052i −0.870603 0.491987i \(-0.836271\pi\)
0.395343 0.918534i \(-0.370626\pi\)
\(284\) 840.508 + 3818.47i 0.175616 + 0.797832i
\(285\) −2634.31 111.386i −0.547520 0.0231507i
\(286\) 7.04176 + 5.98133i 0.00145590 + 0.00123666i
\(287\) 11141.2 + 1826.50i 2.29144 + 0.375663i
\(288\) −5084.50 1579.38i −1.04030 0.323145i
\(289\) 792.279 + 1988.47i 0.161262 + 0.404736i
\(290\) −1559.84 525.573i −0.315852 0.106423i
\(291\) −635.035 2729.75i −0.127926 0.549900i
\(292\) 2202.41 + 4760.43i 0.441391 + 0.954052i
\(293\) 6352.27 + 344.410i 1.26657 + 0.0686712i 0.675141 0.737689i \(-0.264083\pi\)
0.591425 + 0.806360i \(0.298566\pi\)
\(294\) −2292.59 + 802.987i −0.454785 + 0.159290i
\(295\) 1814.81 277.208i 0.358178 0.0547108i
\(296\) 4653.39i 0.913759i
\(297\) −4.57771 3.22857i −0.000894363 0.000630777i
\(298\) −4721.55 + 2184.42i −0.917825 + 0.424631i
\(299\) −1125.19 + 10346.0i −0.217630 + 2.00108i
\(300\) −2799.62 + 33.3389i −0.538788 + 0.00641607i
\(301\) −3.52368 + 1.40396i −0.000674756 + 0.000268848i
\(302\) 3170.12 2149.39i 0.604039 0.409548i
\(303\) −1219.26 6919.96i −0.231170 1.31202i
\(304\) 6412.25 7549.09i 1.20976 1.42424i
\(305\) −1229.95 + 3086.93i −0.230907 + 0.579532i
\(306\) 6346.38 + 5135.59i 1.18562 + 0.959418i
\(307\) −4636.37 + 1562.18i −0.861928 + 0.290417i −0.715337 0.698780i \(-0.753727\pi\)
−0.146591 + 0.989197i \(0.546830\pi\)
\(308\) −2.78907 3.28355i −0.000515981 0.000607460i
\(309\) −632.761 524.630i −0.116494 0.0965863i
\(310\) −1057.69 + 115.031i −0.193784 + 0.0210752i
\(311\) −1328.83 + 6036.94i −0.242287 + 1.10072i 0.685635 + 0.727945i \(0.259524\pi\)
−0.927922 + 0.372774i \(0.878407\pi\)
\(312\) 3531.01 + 935.239i 0.640718 + 0.169704i
\(313\) −9.61382 + 10.1492i −0.00173612 + 0.00183280i −0.726863 0.686783i \(-0.759022\pi\)
0.725127 + 0.688615i \(0.241781\pi\)
\(314\) −70.1250 37.1779i −0.0126031 0.00668176i
\(315\) 566.457 + 2309.97i 0.101321 + 0.413182i
\(316\) −1811.79 1090.12i −0.322535 0.194063i
\(317\) −2828.21 + 463.662i −0.501099 + 0.0821510i −0.407030 0.913415i \(-0.633436\pi\)
−0.0940686 + 0.995566i \(0.529987\pi\)
\(318\) −5995.32 3087.63i −1.05724 0.544483i
\(319\) 4.34191 1.20553i 0.000762071 0.000211588i
\(320\) −189.621 + 249.443i −0.0331255 + 0.0435758i
\(321\) 4226.41 + 2792.70i 0.734877 + 0.485587i
\(322\) 3391.32 12214.4i 0.586929 2.11393i
\(323\) −9294.49 + 4927.63i −1.60111 + 0.848856i
\(324\) 3565.78 + 608.532i 0.611417 + 0.104344i
\(325\) 6969.03 377.850i 1.18945 0.0644903i
\(326\) −2016.24 3803.02i −0.342543 0.646104i
\(327\) 2330.11 154.182i 0.394054 0.0260743i
\(328\) 3436.59 + 4520.76i 0.578518 + 0.761027i
\(329\) 3835.52 + 2915.69i 0.642733 + 0.488593i
\(330\) −2.48411 + 1.72780i −0.000414382 + 0.000288219i
\(331\) 7333.80 6946.94i 1.21783 1.15359i 0.234432 0.972133i \(-0.424677\pi\)
0.983399 0.181458i \(-0.0580816\pi\)
\(332\) −27.6895 168.898i −0.00457728 0.0279202i
\(333\) 1513.58 + 11387.1i 0.249081 + 1.87390i
\(334\) −1070.99 + 2314.90i −0.175455 + 0.379239i
\(335\) −333.993 + 629.977i −0.0544716 + 0.102744i
\(336\) −8152.99 3654.75i −1.32376 0.593402i
\(337\) 1139.69 + 772.727i 0.184222 + 0.124905i 0.649812 0.760095i \(-0.274848\pi\)
−0.465590 + 0.885000i \(0.654158\pi\)
\(338\) 6799.83 + 1496.76i 1.09427 + 0.240866i
\(339\) −580.442 + 276.979i −0.0929949 + 0.0443759i
\(340\) 1446.55 870.362i 0.230736 0.138829i
\(341\) 2.21991 1.88561i 0.000352536 0.000299447i
\(342\) −6591.19 + 10238.0i −1.04214 + 1.61873i
\(343\) 4526.64 996.389i 0.712582 0.156851i
\(344\) −1.77237 0.706175i −0.000277789 0.000110681i
\(345\) −3181.09 1223.77i −0.496418 0.190973i
\(346\) −2008.93 + 12253.9i −0.312141 + 1.90397i
\(347\) 3337.87 + 4923.00i 0.516388 + 0.761615i 0.993078 0.117457i \(-0.0374741\pi\)
−0.476690 + 0.879071i \(0.658164\pi\)
\(348\) −2195.21 + 1910.09i −0.338149 + 0.294229i
\(349\) −3629.61 + 10772.3i −0.556700 + 1.65223i 0.185959 + 0.982558i \(0.440461\pi\)
−0.742659 + 0.669670i \(0.766436\pi\)
\(350\) −8451.46 919.152i −1.29071 0.140373i
\(351\) −8944.77 1140.07i −1.36022 0.173368i
\(352\) 0.426256 7.86183i 6.45441e−5 0.00119045i
\(353\) −8504.25 −1.28225 −0.641127 0.767435i \(-0.721533\pi\)
−0.641127 + 0.767435i \(0.721533\pi\)
\(354\) 3130.28 7879.02i 0.469978 1.18295i
\(355\) 3192.01 0.477224
\(356\) −319.156 + 5886.48i −0.0475146 + 0.876356i
\(357\) 6607.52 + 6811.16i 0.979572 + 1.00976i
\(358\) 5115.86 + 556.383i 0.755255 + 0.0821390i
\(359\) −2901.03 + 8609.96i −0.426492 + 1.26578i 0.492087 + 0.870546i \(0.336234\pi\)
−0.918579 + 0.395237i \(0.870662\pi\)
\(360\) −592.177 + 1039.46i −0.0866957 + 0.152179i
\(361\) −4955.83 7309.30i −0.722529 1.06565i
\(362\) −51.4039 + 313.550i −0.00746334 + 0.0455244i
\(363\) −2483.22 + 6454.90i −0.359050 + 0.933317i
\(364\) −6442.43 2566.90i −0.927679 0.369621i
\(365\) 4182.06 920.542i 0.599724 0.132009i
\(366\) 9431.45 + 12104.9i 1.34697 + 1.72878i
\(367\) 5956.70 5059.66i 0.847240 0.719652i −0.114557 0.993417i \(-0.536545\pi\)
0.961797 + 0.273765i \(0.0882689\pi\)
\(368\) 10971.0 6601.03i 1.55408 0.935061i
\(369\) −9879.96 9944.73i −1.39385 1.40299i
\(370\) 6060.07 + 1333.92i 0.851481 + 0.187425i
\(371\) −6487.94 4398.93i −0.907916 0.615582i
\(372\) −769.371 + 1716.31i −0.107231 + 0.239211i
\(373\) 5398.89 10183.4i 0.749447 1.41361i −0.155392 0.987853i \(-0.549664\pi\)
0.904839 0.425754i \(-0.139991\pi\)
\(374\) −5.06930 + 10.9571i −0.000700875 + 0.00151492i
\(375\) −999.748 + 4814.26i −0.137671 + 0.662953i
\(376\) 392.055 + 2391.43i 0.0537732 + 0.328002i
\(377\) 5266.10 4988.31i 0.719411 0.681462i
\(378\) 10527.2 + 3133.08i 1.43244 + 0.426318i
\(379\) −5540.21 4211.56i −0.750874 0.570800i 0.158213 0.987405i \(-0.449427\pi\)
−0.909088 + 0.416605i \(0.863220\pi\)
\(380\) 1523.76 + 2004.47i 0.205703 + 0.270597i
\(381\) 351.868 + 5317.67i 0.0473142 + 0.715046i
\(382\) 2951.26 + 5566.67i 0.395287 + 0.745591i
\(383\) −3556.22 + 192.813i −0.474450 + 0.0257239i −0.289814 0.957083i \(-0.593593\pi\)
−0.184636 + 0.982807i \(0.559111\pi\)
\(384\) −2572.95 6240.48i −0.341928 0.829317i
\(385\) −3.10749 + 1.64749i −0.000411357 + 0.000218088i
\(386\) 701.445 2526.38i 0.0924938 0.333133i
\(387\) 4.56677 + 1.15156i 0.000599850 + 0.000151259i
\(388\) −1619.67 + 2130.64i −0.211924 + 0.278781i
\(389\) 5110.49 1418.92i 0.666097 0.184941i 0.0820097 0.996632i \(-0.473866\pi\)
0.584088 + 0.811690i \(0.301452\pi\)
\(390\) −2230.14 + 4330.31i −0.289557 + 0.562240i
\(391\) −13419.8 + 2200.06i −1.73572 + 0.284557i
\(392\) −1216.92 732.195i −0.156795 0.0943404i
\(393\) −7187.32 695.179i −0.922525 0.0892294i
\(394\) −10148.3 5380.31i −1.29763 0.687960i
\(395\) −1187.13 + 1253.24i −0.151218 + 0.159639i
\(396\) 0.416723 + 5.33308i 5.28817e−5 + 0.000676761i
\(397\) 689.497 3132.42i 0.0871659 0.395999i −0.912756 0.408505i \(-0.866050\pi\)
0.999922 + 0.0125067i \(0.00398111\pi\)
\(398\) 14353.0 1560.98i 1.80767 0.196596i
\(399\) −9033.47 + 10895.3i −1.13343 + 1.36704i
\(400\) −5558.88 6544.42i −0.694860 0.818052i
\(401\) −7997.88 + 2694.80i −0.995998 + 0.335591i −0.769657 0.638458i \(-0.779573\pi\)
−0.226341 + 0.974048i \(0.572676\pi\)
\(402\) 1731.10 + 2801.07i 0.214775 + 0.347523i
\(403\) 1735.40 4355.53i 0.214508 0.538373i
\(404\) −4343.95 + 5114.10i −0.534950 + 0.629792i
\(405\) 1110.99 2736.24i 0.136310 0.335715i
\(406\) −7313.03 + 4958.36i −0.893940 + 0.606106i
\(407\) −15.7809 + 6.28768i −0.00192194 + 0.000765771i
\(408\) 56.8358 + 4772.77i 0.00689655 + 0.579136i
\(409\) 541.024 4974.63i 0.0654081 0.601418i −0.914864 0.403763i \(-0.867702\pi\)
0.980272 0.197655i \(-0.0633325\pi\)
\(410\) −6872.46 + 3179.54i −0.827820 + 0.382991i
\(411\) 1778.55 516.699i 0.213453 0.0620119i
\(412\) 784.931i 0.0938611i
\(413\) 4710.78 8655.73i 0.561265 1.03128i
\(414\) −12300.0 + 9821.08i −1.46018 + 1.16589i
\(415\) −139.524 7.56476i −0.0165035 0.000894794i
\(416\) −5321.62 11502.5i −0.627197 1.35566i
\(417\) 1293.44 300.899i 0.151894 0.0353359i
\(418\) −17.0637 5.74941i −0.00199668 0.000672758i
\(419\) 4020.76 + 10091.3i 0.468799 + 1.17660i 0.953359 + 0.301839i \(0.0976005\pi\)
−0.484560 + 0.874758i \(0.661020\pi\)
\(420\) 1352.88 1824.37i 0.157176 0.211953i
\(421\) 6064.81 + 994.275i 0.702092 + 0.115102i 0.502246 0.864725i \(-0.332507\pi\)
0.199847 + 0.979827i \(0.435956\pi\)
\(422\) −5636.96 4788.08i −0.650244 0.552322i
\(423\) −1737.23 5724.44i −0.199685 0.657995i
\(424\) −847.568 3850.54i −0.0970791 0.441035i
\(425\) 2911.99 + 8642.49i 0.332359 + 0.986406i
\(426\) 7448.73 12720.3i 0.847165 1.44672i
\(427\) 9195.91 + 15283.7i 1.04220 + 1.73216i
\(428\) −523.028 4809.16i −0.0590689 0.543130i
\(429\) −1.59947 13.2383i −0.000180007 0.00148986i
\(430\) 1.42770 2.10571i 0.000160116 0.000236154i
\(431\) −7560.97 7162.13i −0.845009 0.800435i 0.136742 0.990607i \(-0.456337\pi\)
−0.981751 + 0.190171i \(0.939096\pi\)
\(432\) 5543.20 + 9609.69i 0.617355 + 1.07025i
\(433\) 7908.62 + 3658.92i 0.877746 + 0.406089i 0.806405 0.591363i \(-0.201410\pi\)
0.0713409 + 0.997452i \(0.477272\pi\)
\(434\) −2944.32 + 4893.50i −0.325650 + 0.541234i
\(435\) 1137.67 + 2085.49i 0.125396 + 0.229866i
\(436\) −1533.57 1618.97i −0.168451 0.177832i
\(437\) −5426.03 19542.8i −0.593964 2.13927i
\(438\) 6090.66 18813.9i 0.664436 2.05243i
\(439\) −1331.74 + 1012.36i −0.144785 + 0.110063i −0.675059 0.737763i \(-0.735882\pi\)
0.530274 + 0.847826i \(0.322089\pi\)
\(440\) −1.70462 0.473287i −0.000184693 5.12797e-5i
\(441\) 3216.02 + 1395.90i 0.347265 + 0.150729i
\(442\) 1052.13 + 19405.5i 0.113224 + 2.08829i
\(443\) 82.9130 + 1529.24i 0.00889236 + 0.164010i 0.999607 + 0.0280489i \(0.00892941\pi\)
−0.990714 + 0.135961i \(0.956588\pi\)
\(444\) 7448.50 8053.22i 0.796149 0.860786i
\(445\) 4637.33 + 1287.55i 0.494002 + 0.137159i
\(446\) 9423.69 7163.70i 1.00050 0.760563i
\(447\) 7143.39 + 2312.54i 0.755863 + 0.244697i
\(448\) 449.961 + 1620.61i 0.0474524 + 0.170908i
\(449\) −2090.65 2207.07i −0.219741 0.231978i 0.606800 0.794855i \(-0.292453\pi\)
−0.826541 + 0.562877i \(0.809694\pi\)
\(450\) 7834.10 + 7074.62i 0.820673 + 0.741112i
\(451\) 10.6876 17.7629i 0.00111587 0.00185459i
\(452\) 557.401 + 257.881i 0.0580043 + 0.0268357i
\(453\) −5465.25 829.281i −0.566843 0.0860111i
\(454\) −1877.36 1778.33i −0.194073 0.183836i
\(455\) −3177.27 + 4686.12i −0.327368 + 0.482832i
\(456\) −7067.46 + 853.900i −0.725798 + 0.0876920i
\(457\) −1647.69 15150.3i −0.168656 1.55077i −0.706495 0.707718i \(-0.749725\pi\)
0.537839 0.843048i \(-0.319241\pi\)
\(458\) −3649.99 6066.33i −0.372386 0.618911i
\(459\) −1691.49 11660.7i −0.172009 1.18579i
\(460\) 1039.27 + 3084.43i 0.105339 + 0.312635i
\(461\) −1155.32 5248.69i −0.116722 0.530273i −0.998303 0.0582398i \(-0.981451\pi\)
0.881581 0.472033i \(-0.156480\pi\)
\(462\) −0.686167 + 16.2280i −6.90982e−5 + 0.00163419i
\(463\) −698.237 593.088i −0.0700861 0.0595316i 0.611659 0.791122i \(-0.290503\pi\)
−0.681745 + 0.731590i \(0.738778\pi\)
\(464\) −8806.62 1443.77i −0.881115 0.144451i
\(465\) 1233.40 + 914.641i 0.123006 + 0.0912160i
\(466\) −6833.57 17151.0i −0.679311 1.70494i
\(467\) 1811.71 + 610.437i 0.179520 + 0.0604875i 0.407626 0.913149i \(-0.366357\pi\)
−0.228106 + 0.973636i \(0.573253\pi\)
\(468\) 4613.82 + 7270.49i 0.455713 + 0.718116i
\(469\) 1607.11 + 3473.71i 0.158229 + 0.342006i
\(470\) −3226.72 174.948i −0.316676 0.0171697i
\(471\) 37.8669 + 108.113i 0.00370449 + 0.0105766i
\(472\) 4714.26 1531.30i 0.459728 0.149330i
\(473\) 0.00696475i 6.77040e-7i
\(474\) 2224.00 + 7655.29i 0.215510 + 0.741813i
\(475\) −12344.7 + 5711.27i −1.19245 + 0.551687i
\(476\) 979.775 9008.88i 0.0943444 0.867482i
\(477\) 3326.49 + 9146.79i 0.319307 + 0.877994i
\(478\) 10637.3 4238.28i 1.01786 0.405554i
\(479\) 2625.05 1779.83i 0.250400 0.169775i −0.429530 0.903053i \(-0.641321\pi\)
0.679930 + 0.733277i \(0.262010\pi\)
\(480\) 4087.82 720.250i 0.388714 0.0684891i
\(481\) −17702.6 + 20841.2i −1.67811 + 1.97562i
\(482\) −206.501 + 518.278i −0.0195142 + 0.0489770i
\(483\) −15563.2 + 9618.32i −1.46615 + 0.906105i
\(484\) 6258.76 2108.82i 0.587787 0.198049i
\(485\) 1414.53 + 1665.31i 0.132434 + 0.155913i
\(486\) −8311.50 10812.5i −0.775756 1.00919i
\(487\) 2119.85 230.548i 0.197248 0.0214520i −0.00896170 0.999960i \(-0.502853\pi\)
0.206210 + 0.978508i \(0.433887\pi\)
\(488\) −1928.66 + 8761.99i −0.178906 + 0.812780i
\(489\) −1590.61 + 6005.35i −0.147095 + 0.555361i
\(490\) 1302.37 1374.89i 0.120071 0.126758i
\(491\) 14493.3 + 7683.87i 1.33213 + 0.706249i 0.973813 0.227352i \(-0.0730068\pi\)
0.358314 + 0.933601i \(0.383352\pi\)
\(492\) −1288.78 + 13324.5i −0.118095 + 1.22097i
\(493\) 8121.63 + 4886.62i 0.741946 + 0.446414i
\(494\) −28603.0 + 4689.22i −2.60508 + 0.427081i
\(495\) 4.32525 + 0.603703i 0.000392738 + 5.48171e-5i
\(496\) −5558.07 + 1543.19i −0.503155 + 0.139700i
\(497\) 10369.2 13640.4i 0.935855 1.23110i
\(498\) −355.732 + 538.357i −0.0320095 + 0.0484425i
\(499\) 2082.96 7502.14i 0.186866 0.673030i −0.809444 0.587198i \(-0.800231\pi\)
0.996310 0.0858327i \(-0.0273550\pi\)
\(500\) 4148.48 2199.39i 0.371052 0.196719i
\(501\) 3403.33 1403.19i 0.303492 0.125130i
\(502\) −25511.4 + 1383.19i −2.26819 + 0.122978i
\(503\) 1282.60 + 2419.25i 0.113695 + 0.214451i 0.933829 0.357720i \(-0.116446\pi\)
−0.820134 + 0.572172i \(0.806101\pi\)
\(504\) 2518.26 + 5907.21i 0.222564 + 0.522079i
\(505\) 3315.15 + 4361.01i 0.292123 + 0.384282i
\(506\) −18.5301 14.0862i −0.00162799 0.00123756i
\(507\) −5737.94 8249.60i −0.502625 0.722638i
\(508\) 3694.74 3499.84i 0.322692 0.305670i
\(509\) −2777.17 16940.0i −0.241839 1.47515i −0.776517 0.630097i \(-0.783015\pi\)
0.534678 0.845056i \(-0.320433\pi\)
\(510\) −6231.83 1294.13i −0.541078 0.112362i
\(511\) 9651.56 20861.5i 0.835538 1.80599i
\(512\) −4062.86 + 7663.36i −0.350693 + 0.661476i
\(513\) 17016.7 4388.33i 1.46453 0.377680i
\(514\) 1969.99 + 1335.69i 0.169052 + 0.114620i
\(515\) 625.833 + 137.756i 0.0535486 + 0.0117869i
\(516\) −1.93694 4.05907i −0.000165250 0.000346300i
\(517\) 7.58024 4.56088i 0.000644833 0.000387983i
\(518\) 25386.2 21563.2i 2.15329 1.82902i
\(519\) 14137.2 11014.9i 1.19567 0.931598i
\(520\) −2781.18 + 612.183i −0.234543 + 0.0516269i
\(521\) −2291.37 912.966i −0.192681 0.0767711i 0.271802 0.962353i \(-0.412380\pi\)
−0.464483 + 0.885582i \(0.653760\pi\)
\(522\) 10965.6 + 332.907i 0.919448 + 0.0279137i
\(523\) −2062.44 + 12580.3i −0.172436 + 1.05181i 0.748796 + 0.662800i \(0.230632\pi\)
−0.921232 + 0.389013i \(0.872816\pi\)
\(524\) 3869.69 + 5707.37i 0.322611 + 0.475816i
\(525\) 8053.95 + 9256.17i 0.669530 + 0.769471i
\(526\) 2837.42 8421.16i 0.235204 0.698061i
\(527\) 6090.63 + 662.396i 0.503439 + 0.0547523i
\(528\) −11.7752 + 11.4232i −0.000970551 + 0.000941533i
\(529\) 760.718 14030.6i 0.0625230 1.15317i
\(530\) 5257.48 0.430888
\(531\) −11038.0 + 5280.56i −0.902086 + 0.431557i
\(532\) 13515.5 1.10145
\(533\) 1806.60 33320.8i 0.146815 2.70785i
\(534\) 15952.4 15475.5i 1.29275 1.25410i
\(535\) −3926.18 426.998i −0.317278 0.0345060i
\(536\) −614.707 + 1824.39i −0.0495360 + 0.147018i
\(537\) −4875.24 5602.97i −0.391773 0.450253i
\(538\) 5893.01 + 8691.54i 0.472241 + 0.696504i
\(539\) −0.838765 + 5.11624i −6.70282e−5 + 0.000408854i
\(540\) −2688.66 + 851.036i −0.214262 + 0.0678199i
\(541\) −1562.49 622.552i −0.124171 0.0494743i 0.307225 0.951637i \(-0.400600\pi\)
−0.431396 + 0.902163i \(0.641979\pi\)
\(542\) −29060.3 + 6396.67i −2.30304 + 0.506938i
\(543\) 361.738 281.846i 0.0285887 0.0222747i
\(544\) 12622.2 10721.4i 0.994804 0.844994i
\(545\) −1559.96 + 938.599i −0.122608 + 0.0737710i
\(546\) 11260.1 + 23596.9i 0.882580 + 1.84955i
\(547\) 2639.56 + 581.011i 0.206324 + 0.0454154i 0.316930 0.948449i \(-0.397348\pi\)
−0.110606 + 0.993864i \(0.535279\pi\)
\(548\) −1463.88 992.538i −0.114113 0.0773706i
\(549\) 1869.57 22068.4i 0.145339 1.71558i
\(550\) −7.31179 + 13.7915i −0.000566865 + 0.00106922i
\(551\) −5935.78 + 12830.0i −0.458934 + 0.991970i
\(552\) −9010.16 1871.09i −0.694743 0.144273i
\(553\) 1499.09 + 9144.07i 0.115277 + 0.703156i
\(554\) −9618.10 + 9110.75i −0.737607 + 0.698698i
\(555\) −5113.70 7352.11i −0.391107 0.562306i
\(556\) −1009.56 767.451i −0.0770055 0.0585381i
\(557\) 6408.66 + 8430.45i 0.487511 + 0.641310i 0.972415 0.233258i \(-0.0749385\pi\)
−0.484904 + 0.874567i \(0.661145\pi\)
\(558\) 6523.11 2780.82i 0.494884 0.210970i
\(559\) 5.25144 + 9.90527i 0.000397339 + 0.000749460i
\(560\) 6955.40 377.111i 0.524856 0.0284569i
\(561\) 16.1089 6.64174i 0.00121234 0.000499847i
\(562\) −1881.48 + 997.496i −0.141219 + 0.0748698i
\(563\) −4115.32 + 14822.1i −0.308064 + 1.10955i 0.633784 + 0.773510i \(0.281501\pi\)
−0.941849 + 0.336037i \(0.890913\pi\)
\(564\) −3149.37 + 4766.19i −0.235129 + 0.355839i
\(565\) 303.436 399.163i 0.0225941 0.0297220i
\(566\) 24582.2 6825.21i 1.82556 0.506864i
\(567\) −8083.71 13636.1i −0.598737 1.00999i
\(568\) 8504.72 1394.28i 0.628257 0.102998i
\(569\) −6463.05 3888.69i −0.476177 0.286506i 0.257163 0.966368i \(-0.417212\pi\)
−0.733340 + 0.679862i \(0.762040\pi\)
\(570\) 913.902 9448.66i 0.0671564 0.694317i
\(571\) 491.419 + 260.534i 0.0360162 + 0.0190946i 0.486319 0.873781i \(-0.338339\pi\)
−0.450303 + 0.892876i \(0.648684\pi\)
\(572\) −8.75704 + 9.24469i −0.000640123 + 0.000675769i
\(573\) 2328.25 8790.33i 0.169745 0.640875i
\(574\) −8737.88 + 39696.6i −0.635387 + 2.88659i
\(575\) −17479.8 + 1901.04i −1.26775 + 0.137876i
\(576\) 726.568 1957.91i 0.0525585 0.141631i
\(577\) −8745.74 10296.3i −0.631005 0.742876i 0.350023 0.936741i \(-0.386174\pi\)
−0.981028 + 0.193865i \(0.937898\pi\)
\(578\) −7302.99 + 2460.66i −0.525544 + 0.177076i
\(579\) −3219.02 + 1989.41i −0.231050 + 0.142793i
\(580\) 839.692 2107.47i 0.0601143 0.150876i
\(581\) −485.565 + 571.651i −0.0346723 + 0.0408194i
\(582\) 9937.25 1750.88i 0.707753 0.124702i
\(583\) −11.9130 + 8.07720i −0.000846287 + 0.000573797i
\(584\) 10740.5 4279.41i 0.761036 0.303224i
\(585\) 6606.56 2402.66i 0.466919 0.169808i
\(586\) −2476.31 + 22769.3i −0.174566 + 1.60511i
\(587\) −6811.16 + 3151.18i −0.478921 + 0.221572i −0.644471 0.764629i \(-0.722922\pi\)
0.165550 + 0.986201i \(0.447060\pi\)
\(588\) −934.020 3215.02i −0.0655074 0.225485i
\(589\) 9137.44i 0.639222i
\(590\) 642.830 + 6578.30i 0.0448557 + 0.459024i
\(591\) 5480.02 + 15645.9i 0.381418 + 1.08898i
\(592\) 33593.2 + 1821.37i 2.33221 + 0.126449i
\(593\) −981.145 2120.71i −0.0679440 0.146859i 0.870628 0.491942i \(-0.163713\pi\)
−0.938572 + 0.345083i \(0.887851\pi\)
\(594\) 12.4990 15.8276i 0.000863367 0.00109329i
\(595\) −7010.92 2362.25i −0.483058 0.162761i
\(596\) −2653.93 6660.87i −0.182398 0.457785i
\(597\) −16737.4 12411.8i −1.14743 0.850888i
\(598\) −36974.5 6061.66i −2.52843 0.414514i
\(599\) 11799.9 + 10022.9i 0.804893 + 0.683683i 0.952223 0.305405i \(-0.0987918\pi\)
−0.147329 + 0.989088i \(0.547068\pi\)
\(600\) −260.713 + 6165.93i −0.0177393 + 0.419538i
\(601\) −1757.47 7984.26i −0.119282 0.541905i −0.997923 0.0644209i \(-0.979480\pi\)
0.878641 0.477484i \(-0.158451\pi\)
\(602\) −4.36043 12.9413i −0.000295213 0.000876160i
\(603\) 910.812 4664.31i 0.0615110 0.315001i
\(604\) 2721.49 + 4523.15i 0.183337 + 0.304709i
\(605\) −582.965 5360.27i −0.0391750 0.360208i
\(606\) 25114.9 3034.42i 1.68354 0.203408i
\(607\) −4353.27 + 6420.60i −0.291094 + 0.429331i −0.944914 0.327319i \(-0.893855\pi\)
0.653820 + 0.756650i \(0.273165\pi\)
\(608\) 17932.1 + 16986.2i 1.19612 + 1.13303i
\(609\) 12607.6 + 1913.04i 0.838892 + 0.127291i
\(610\) −10857.8 5023.35i −0.720687 0.333426i
\(611\) 7341.70 12202.0i 0.486110 0.807921i
\(612\) −7541.23 + 8350.80i −0.498098 + 0.551571i
\(613\) −2700.08 2850.44i −0.177904 0.187811i 0.630945 0.775828i \(-0.282668\pi\)
−0.808849 + 0.588017i \(0.799909\pi\)
\(614\) −4712.33 16972.3i −0.309730 1.11555i
\(615\) 10397.6 + 3366.03i 0.681741 + 0.220701i
\(616\) −7.55991 + 5.74689i −0.000494476 + 0.000375891i
\(617\) 8573.71 + 2380.48i 0.559424 + 0.155323i 0.535720 0.844396i \(-0.320040\pi\)
0.0237041 + 0.999719i \(0.492454\pi\)
\(618\) 2009.38 2172.52i 0.130792 0.141410i
\(619\) 305.120 + 5627.61i 0.0198123 + 0.365416i 0.991582 + 0.129483i \(0.0413319\pi\)
−0.971769 + 0.235933i \(0.924185\pi\)
\(620\) −79.3866 1464.20i −0.00514232 0.0948446i
\(621\) 22657.0 + 1647.96i 1.46408 + 0.106490i
\(622\) −21443.8 5953.85i −1.38235 0.383807i
\(623\) 20566.3 15634.1i 1.32259 1.00540i
\(624\) −8133.62 + 25124.6i −0.521804 + 1.61184i
\(625\) 2605.81 + 9385.29i 0.166772 + 0.600659i
\(626\) −34.6125 36.5400i −0.00220989 0.00233296i
\(627\) 12.4454 + 22.8139i 0.000792697 + 0.00145311i
\(628\) 56.3974 93.7332i 0.00358360 0.00595599i
\(629\) −32429.3 15003.4i −2.05571 0.951071i
\(630\) −8414.77 + 1586.17i −0.532147 + 0.100309i
\(631\) −17907.3 16962.7i −1.12976 1.07016i −0.996872 0.0790313i \(-0.974817\pi\)
−0.132885 0.991131i \(-0.542424\pi\)
\(632\) −2615.55 + 3857.65i −0.164622 + 0.242799i
\(633\) 1280.38 + 10597.3i 0.0803959 + 0.665412i
\(634\) −1115.60 10257.8i −0.0698838 0.642571i
\(635\) −2142.03 3560.08i −0.133864 0.222484i
\(636\) 4696.60 8020.47i 0.292818 0.500051i
\(637\) 2664.77 + 7908.75i 0.165749 + 0.491925i
\(638\) 3.48757 + 15.8442i 0.000216417 + 0.000983193i
\(639\) −20358.0 + 6178.16i −1.26033 + 0.382479i
\(640\) 4010.86 + 3406.85i 0.247723 + 0.210418i
\(641\) −9444.37 1548.33i −0.581950 0.0954059i −0.136386 0.990656i \(-0.543549\pi\)
−0.445564 + 0.895250i \(0.646997\pi\)
\(642\) −10863.6 + 14649.6i −0.667836 + 0.900584i
\(643\) 4745.10 + 11909.3i 0.291024 + 0.730415i 0.999691 + 0.0248716i \(0.00791768\pi\)
−0.708667 + 0.705543i \(0.750703\pi\)
\(644\) 16556.7 + 5578.59i 1.01308 + 0.341347i
\(645\) −3.57627 + 0.831966i −0.000218319 + 5.07885e-5i
\(646\) −15903.2 34374.2i −0.968581 2.09355i
\(647\) 12741.1 + 690.802i 0.774195 + 0.0419756i 0.437003 0.899460i \(-0.356040\pi\)
0.337192 + 0.941436i \(0.390523\pi\)
\(648\) 1764.90 7775.64i 0.106993 0.471383i
\(649\) −11.5630 13.9182i −0.000699364 0.000841816i
\(650\) 25127.4i 1.51627i
\(651\) 7915.19 2299.50i 0.476530 0.138440i
\(652\) 5384.23 2491.01i 0.323409 0.149625i
\(653\) 1782.24 16387.4i 0.106806 0.982067i −0.811002 0.585043i \(-0.801078\pi\)
0.917808 0.397024i \(-0.129957\pi\)
\(654\) 100.111 + 8406.82i 0.00598572 + 0.502649i
\(655\) 5229.67 2083.69i 0.311970 0.124300i
\(656\) −33980.8 + 23039.5i −2.02245 + 1.37125i
\(657\) −24890.6 + 13965.4i −1.47805 + 0.829290i
\(658\) −11229.5 + 13220.4i −0.665307 + 0.783260i
\(659\) −2222.50 + 5578.05i −0.131375 + 0.329727i −0.979918 0.199400i \(-0.936101\pi\)
0.848543 + 0.529126i \(0.177480\pi\)
\(660\) −2.19248 3.54760i −0.000129306 0.000209228i
\(661\) −16955.3 + 5712.92i −0.997710 + 0.336168i −0.770335 0.637640i \(-0.779911\pi\)
−0.227375 + 0.973807i \(0.573014\pi\)
\(662\) 23544.8 + 27719.1i 1.38232 + 1.62739i
\(663\) 17902.3 21592.1i 1.04867 1.26481i
\(664\) −375.048 + 40.7889i −0.0219197 + 0.00238391i
\(665\) 2371.99 10776.1i 0.138319 0.628388i
\(666\) −41231.7 + 3221.82i −2.39894 + 0.187452i
\(667\) −12567.0 + 13266.9i −0.729531 + 0.770157i
\(668\) −3105.89 1646.64i −0.179896 0.0953749i
\(669\) −17005.1 1644.79i −0.982745 0.0950540i
\(670\) −2199.67 1323.50i −0.126837 0.0763152i
\(671\) 32.3203 5.29864i 0.00185948 0.000304846i
\(672\) 10201.3 19808.2i 0.585603 1.13708i
\(673\) −128.929 + 35.7970i −0.00738463 + 0.00205033i −0.271219 0.962518i \(-0.587427\pi\)
0.263834 + 0.964568i \(0.415013\pi\)
\(674\) −3000.10 + 3946.56i −0.171453 + 0.225543i
\(675\) −1367.58 15173.2i −0.0779826 0.865208i
\(676\) −2567.24 + 9246.36i −0.146065 + 0.526079i
\(677\) −3414.37 + 1810.19i −0.193833 + 0.102764i −0.562498 0.826798i \(-0.690160\pi\)
0.368665 + 0.929562i \(0.379815\pi\)
\(678\) −882.604 2140.68i −0.0499944 0.121257i
\(679\) 11711.4 634.974i 0.661919 0.0358882i
\(680\) −1743.04 3287.72i −0.0982977 0.185409i
\(681\) 246.416 + 3724.01i 0.0138659 + 0.209551i
\(682\) 6.34608 + 8.34813i 0.000356311 + 0.000468719i
\(683\) 18906.4 + 14372.3i 1.05920 + 0.805182i 0.981436 0.191790i \(-0.0614294\pi\)
0.0777624 + 0.996972i \(0.475222\pi\)
\(684\) −13597.9 9834.83i −0.760127 0.549772i
\(685\) −1048.27 + 992.977i −0.0584707 + 0.0553864i
\(686\) 2699.71 + 16467.5i 0.150256 + 0.916519i
\(687\) −2077.57 + 10004.5i −0.115377 + 0.555597i
\(688\) 5.79164 12.5184i 0.000320937 0.000693693i
\(689\) −10852.4 + 20469.8i −0.600063 + 1.13184i
\(690\) 5019.52 11197.5i 0.276942 0.617799i
\(691\) 6345.15 + 4302.12i 0.349321 + 0.236846i 0.723210 0.690628i \(-0.242666\pi\)
−0.373889 + 0.927473i \(0.621976\pi\)
\(692\) −16714.2 3679.07i −0.918175 0.202106i
\(693\) 16.6302 16.5219i 0.000911588 0.000905651i
\(694\) −18348.8 + 11040.1i −1.00362 + 0.603857i
\(695\) −789.076 + 670.247i −0.0430667 + 0.0365812i
\(696\) 3942.14 + 5059.59i 0.214693 + 0.275551i
\(697\) 42585.1 9373.69i 2.31424 0.509403i
\(698\) −38019.0 15148.1i −2.06166 0.821441i
\(699\) −9567.18 + 24869.0i −0.517688 + 1.34568i
\(700\) 1895.57 11562.5i 0.102351 0.624314i
\(701\) −2843.10 4193.26i −0.153185 0.225930i 0.743352 0.668901i \(-0.233235\pi\)
−0.896536 + 0.442971i \(0.853925\pi\)
\(702\) 5842.02 31934.3i 0.314092 1.71692i
\(703\) 17016.3 50502.5i 0.912917 2.70944i
\(704\) 3.07019 + 0.333903i 0.000164364 + 1.78757e-5i
\(705\) 3247.42 + 3347.50i 0.173482 + 0.178829i
\(706\) 1657.61 30572.8i 0.0883640 1.62978i
\(707\) 29405.0 1.56420
\(708\) 10609.7 + 4895.84i 0.563186 + 0.259883i
\(709\) −676.218 −0.0358193 −0.0179097 0.999840i \(-0.505701\pi\)
−0.0179097 + 0.999840i \(0.505701\pi\)
\(710\) −622.172 + 11475.3i −0.0328869 + 0.606564i
\(711\) 5145.63 10290.6i 0.271415 0.542796i
\(712\) 12918.0 + 1404.92i 0.679948 + 0.0739488i
\(713\) −3771.52 + 11193.5i −0.198099 + 0.587936i
\(714\) −25774.1 + 22426.5i −1.35094 + 1.17548i
\(715\) 5.83401 + 8.60453i 0.000305146 + 0.000450057i
\(716\) −1147.43 + 6999.01i −0.0598903 + 0.365315i
\(717\) −15424.1 5933.71i −0.803382 0.309063i
\(718\) −30387.4 12107.4i −1.57945 0.629312i
\(719\) −36834.5 + 8107.88i −1.91056 + 0.420547i −0.910588 + 0.413315i \(0.864371\pi\)
−0.999974 + 0.00723169i \(0.997698\pi\)
\(720\) −7272.18 4681.82i −0.376414 0.242335i
\(721\) 2621.67 2226.87i 0.135418 0.115025i
\(722\) 27242.9 16391.5i 1.40426 0.844916i
\(723\) 726.700 346.772i 0.0373807 0.0178376i
\(724\) −427.677 94.1389i −0.0219537 0.00483238i
\(725\) 10143.5 + 6877.45i 0.519613 + 0.352306i
\(726\) −22721.4 10185.3i −1.16153 0.520679i
\(727\) −16103.3 + 30374.1i −0.821512 + 1.54954i 0.0138940 + 0.999903i \(0.495577\pi\)
−0.835406 + 0.549633i \(0.814768\pi\)
\(728\) −6418.53 + 13873.4i −0.326767 + 0.706296i
\(729\) −1789.65 + 19601.5i −0.0909237 + 0.995858i
\(730\) 2494.20 + 15214.0i 0.126458 + 0.771362i
\(731\) −10.6357 + 10.0747i −0.000538135 + 0.000509748i
\(732\) −17362.7 + 12076.5i −0.876702 + 0.609782i
\(733\) 11186.3 + 8503.58i 0.563676 + 0.428495i 0.847818 0.530287i \(-0.177916\pi\)
−0.284143 + 0.958782i \(0.591709\pi\)
\(734\) 17028.5 + 22400.6i 0.856311 + 1.12646i
\(735\) −2727.29 + 180.463i −0.136867 + 0.00905645i
\(736\) 14955.9 + 28209.8i 0.749025 + 1.41281i
\(737\) 7.01757 0.380482i 0.000350740 1.90166e-5i
\(738\) 37677.1 33580.1i 1.87929 1.67493i
\(739\) 6078.15 3222.43i 0.302555 0.160405i −0.310213 0.950667i \(-0.600401\pi\)
0.612769 + 0.790262i \(0.290056\pi\)
\(740\) −2287.95 + 8240.43i −0.113657 + 0.409357i
\(741\) 34901.5 + 23062.0i 1.73028 + 1.14332i
\(742\) 17078.8 22466.7i 0.844988 1.11156i
\(743\) 936.101 259.907i 0.0462210 0.0128332i −0.244341 0.969689i \(-0.578572\pi\)
0.290562 + 0.956856i \(0.406158\pi\)
\(744\) 3685.77 + 1898.19i 0.181622 + 0.0935365i
\(745\) −5776.55 + 947.017i −0.284076 + 0.0465718i
\(746\) 35557.0 + 21393.9i 1.74508 + 1.04998i
\(747\) 904.496 221.803i 0.0443022 0.0108639i
\(748\) −14.7011 7.79404i −0.000718618 0.000380987i
\(749\) −14578.8 + 15390.6i −0.711210 + 0.750816i
\(750\) −17112.4 4532.47i −0.833143 0.220670i
\(751\) −1415.47 + 6430.53i −0.0687765 + 0.312455i −0.998432 0.0559747i \(-0.982173\pi\)
0.929656 + 0.368429i \(0.120104\pi\)
\(752\) −17417.4 + 1894.25i −0.844609 + 0.0918568i
\(753\) 28386.0 + 23535.2i 1.37376 + 1.13900i
\(754\) 16906.6 + 19903.9i 0.816579 + 0.961351i
\(755\) 4083.98 1376.05i 0.196862 0.0663307i
\(756\) −5097.30 + 14254.0i −0.245221 + 0.685730i
\(757\) 7188.32 18041.3i 0.345131 0.866213i −0.649272 0.760556i \(-0.724926\pi\)
0.994403 0.105657i \(-0.0336944\pi\)
\(758\) 16220.4 19096.2i 0.777247 0.915045i
\(759\) 5.82922 + 33.0841i 0.000278771 + 0.00158218i
\(760\) 4593.65 3114.57i 0.219249 0.148655i
\(761\) 22466.0 8951.27i 1.07016 0.426391i 0.232508 0.972595i \(-0.425307\pi\)
0.837652 + 0.546204i \(0.183928\pi\)
\(762\) −19185.6 + 228.469i −0.912103 + 0.0108616i
\(763\) −1056.59 + 9715.19i −0.0501325 + 0.460961i
\(764\) −7881.16 + 3646.21i −0.373207 + 0.172664i
\(765\) 5334.68 + 7478.27i 0.252125 + 0.353435i
\(766\) 12822.2i 0.604811i
\(767\) −26939.3 11076.0i −1.26821 0.521422i
\(768\) 25970.6 9096.26i 1.22022 0.427387i
\(769\) −5508.98 298.688i −0.258334 0.0140065i −0.0754829 0.997147i \(-0.524050\pi\)
−0.182851 + 0.983141i \(0.558533\pi\)
\(770\) −5.31703 11.4926i −0.000248848 0.000537875i
\(771\) −778.346 3345.78i −0.0363572 0.156285i
\(772\) 3424.50 + 1153.85i 0.159651 + 0.0537927i
\(773\) 14602.4 +