Properties

Label 49.4.e.a.15.6
Level $49$
Weight $4$
Character 49.15
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 15.6
Character \(\chi\) \(=\) 49.15
Dual form 49.4.e.a.36.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.379589 + 1.66309i) q^{2} +(-2.24247 + 2.81197i) q^{3} +(4.58597 + 2.20849i) q^{4} +(-4.66393 + 5.84838i) q^{5} +(-3.82533 - 4.79682i) q^{6} +(-14.0409 - 12.0769i) q^{7} +(-13.9224 + 17.4581i) q^{8} +(3.12958 + 13.7116i) q^{9} +O(q^{10})\) \(q+(-0.379589 + 1.66309i) q^{2} +(-2.24247 + 2.81197i) q^{3} +(4.58597 + 2.20849i) q^{4} +(-4.66393 + 5.84838i) q^{5} +(-3.82533 - 4.79682i) q^{6} +(-14.0409 - 12.0769i) q^{7} +(-13.9224 + 17.4581i) q^{8} +(3.12958 + 13.7116i) q^{9} +(-7.95600 - 9.97651i) q^{10} +(-7.78469 + 34.1070i) q^{11} +(-16.4941 + 7.94314i) q^{12} +(5.32468 - 23.3289i) q^{13} +(25.4148 - 18.7671i) q^{14} +(-5.98674 - 26.2296i) q^{15} +(1.63913 + 2.05540i) q^{16} +(75.9808 - 36.5904i) q^{17} -23.9915 q^{18} +57.3716 q^{19} +(-34.3047 + 16.5203i) q^{20} +(65.4462 - 12.4006i) q^{21} +(-53.7679 - 25.8933i) q^{22} +(139.535 + 67.1963i) q^{23} +(-17.8711 - 78.2985i) q^{24} +(15.3638 + 67.3131i) q^{25} +(36.7769 + 17.7108i) q^{26} +(-133.067 - 64.0816i) q^{27} +(-37.7197 - 86.3937i) q^{28} +(98.6691 - 47.5165i) q^{29} +45.8947 q^{30} -60.9923 q^{31} +(-164.988 + 79.4540i) q^{32} +(-78.4507 - 98.3740i) q^{33} +(32.0117 + 140.252i) q^{34} +(136.116 - 25.7909i) q^{35} +(-15.9297 + 69.7925i) q^{36} +(178.296 - 85.8629i) q^{37} +(-21.7777 + 95.4141i) q^{38} +(53.6597 + 67.2872i) q^{39} +(-37.1687 - 162.847i) q^{40} +(-233.717 + 293.072i) q^{41} +(-4.21945 + 113.550i) q^{42} +(-307.167 - 385.175i) q^{43} +(-111.025 + 139.221i) q^{44} +(-94.7866 - 45.6468i) q^{45} +(-164.719 + 206.552i) q^{46} +(14.5738 - 63.8522i) q^{47} -9.45540 q^{48} +(51.2962 + 339.143i) q^{49} -117.780 q^{50} +(-67.4935 + 295.708i) q^{51} +(75.9405 - 95.2264i) q^{52} +(384.604 + 185.215i) q^{53} +(157.084 - 196.977i) q^{54} +(-163.163 - 204.600i) q^{55} +(406.324 - 76.9890i) q^{56} +(-128.654 + 161.327i) q^{57} +(41.5705 + 182.132i) q^{58} +(-220.711 - 276.763i) q^{59} +(30.4728 - 133.510i) q^{60} +(542.352 - 261.183i) q^{61} +(23.1520 - 101.436i) q^{62} +(121.651 - 230.319i) q^{63} +(-64.8314 - 284.045i) q^{64} +(111.603 + 139.945i) q^{65} +(193.384 - 93.1287i) q^{66} +49.6643 q^{67} +429.256 q^{68} +(-501.856 + 241.681i) q^{69} +(-8.77571 + 236.164i) q^{70} +(-40.7473 - 19.6229i) q^{71} +(-282.949 - 136.261i) q^{72} +(-168.649 - 738.899i) q^{73} +(75.1184 + 329.115i) q^{74} +(-223.735 - 107.745i) q^{75} +(263.105 + 126.705i) q^{76} +(521.211 - 384.879i) q^{77} +(-132.273 + 63.6994i) q^{78} -513.479 q^{79} -19.6655 q^{80} +(136.466 - 65.7184i) q^{81} +(-398.688 - 499.939i) q^{82} +(-22.1781 - 97.1685i) q^{83} +(327.521 + 87.6686i) q^{84} +(-140.374 + 615.020i) q^{85} +(757.178 - 364.638i) q^{86} +(-87.6474 + 384.008i) q^{87} +(-487.062 - 610.756i) q^{88} +(253.045 + 1108.66i) q^{89} +(111.895 - 140.312i) q^{90} +(-356.505 + 263.255i) q^{91} +(491.500 + 616.321i) q^{92} +(136.773 - 171.508i) q^{93} +(100.660 + 48.4752i) q^{94} +(-267.577 + 335.531i) q^{95} +(146.558 - 642.113i) q^{96} +853.558 q^{97} +(-583.496 - 43.4247i) q^{98} -492.023 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.379589 + 1.66309i −0.134205 + 0.587991i 0.862441 + 0.506158i \(0.168935\pi\)
−0.996646 + 0.0818331i \(0.973923\pi\)
\(3\) −2.24247 + 2.81197i −0.431563 + 0.541163i −0.949298 0.314378i \(-0.898204\pi\)
0.517735 + 0.855541i \(0.326775\pi\)
\(4\) 4.58597 + 2.20849i 0.573247 + 0.276061i
\(5\) −4.66393 + 5.84838i −0.417154 + 0.523095i −0.945363 0.326020i \(-0.894292\pi\)
0.528209 + 0.849115i \(0.322864\pi\)
\(6\) −3.82533 4.79682i −0.260281 0.326382i
\(7\) −14.0409 12.0769i −0.758140 0.652092i
\(8\) −13.9224 + 17.4581i −0.615288 + 0.771547i
\(9\) 3.12958 + 13.7116i 0.115910 + 0.507836i
\(10\) −7.95600 9.97651i −0.251591 0.315485i
\(11\) −7.78469 + 34.1070i −0.213379 + 0.934876i 0.748872 + 0.662714i \(0.230596\pi\)
−0.962252 + 0.272162i \(0.912261\pi\)
\(12\) −16.4941 + 7.94314i −0.396786 + 0.191082i
\(13\) 5.32468 23.3289i 0.113600 0.497714i −0.885832 0.464007i \(-0.846411\pi\)
0.999432 0.0337075i \(-0.0107315\pi\)
\(14\) 25.4148 18.7671i 0.485170 0.358265i
\(15\) −5.98674 26.2296i −0.103051 0.451497i
\(16\) 1.63913 + 2.05540i 0.0256113 + 0.0321156i
\(17\) 75.9808 36.5904i 1.08400 0.522028i 0.195409 0.980722i \(-0.437397\pi\)
0.888595 + 0.458693i \(0.151682\pi\)
\(18\) −23.9915 −0.314159
\(19\) 57.3716 0.692735 0.346367 0.938099i \(-0.387415\pi\)
0.346367 + 0.938099i \(0.387415\pi\)
\(20\) −34.3047 + 16.5203i −0.383539 + 0.184702i
\(21\) 65.4462 12.4006i 0.680073 0.128858i
\(22\) −53.7679 25.8933i −0.521062 0.250930i
\(23\) 139.535 + 67.1963i 1.26500 + 0.609192i 0.941492 0.337034i \(-0.109424\pi\)
0.323507 + 0.946226i \(0.395138\pi\)
\(24\) −17.8711 78.2985i −0.151997 0.665942i
\(25\) 15.3638 + 67.3131i 0.122910 + 0.538505i
\(26\) 36.7769 + 17.7108i 0.277406 + 0.133591i
\(27\) −133.067 64.0816i −0.948471 0.456760i
\(28\) −37.7197 86.3937i −0.254584 0.583103i
\(29\) 98.6691 47.5165i 0.631807 0.304262i −0.0904356 0.995902i \(-0.528826\pi\)
0.722242 + 0.691640i \(0.243112\pi\)
\(30\) 45.8947 0.279306
\(31\) −60.9923 −0.353372 −0.176686 0.984267i \(-0.556538\pi\)
−0.176686 + 0.984267i \(0.556538\pi\)
\(32\) −164.988 + 79.4540i −0.911438 + 0.438925i
\(33\) −78.4507 98.3740i −0.413834 0.518931i
\(34\) 32.0117 + 140.252i 0.161469 + 0.707443i
\(35\) 136.116 25.7909i 0.657368 0.124556i
\(36\) −15.9297 + 69.7925i −0.0737486 + 0.323114i
\(37\) 178.296 85.8629i 0.792208 0.381507i 0.00640158 0.999980i \(-0.497962\pi\)
0.785807 + 0.618472i \(0.212248\pi\)
\(38\) −21.7777 + 95.4141i −0.0929685 + 0.407322i
\(39\) 53.6597 + 67.2872i 0.220319 + 0.276271i
\(40\) −37.1687 162.847i −0.146922 0.643709i
\(41\) −233.717 + 293.072i −0.890256 + 1.11635i 0.102324 + 0.994751i \(0.467372\pi\)
−0.992580 + 0.121594i \(0.961199\pi\)
\(42\) −4.21945 + 113.550i −0.0155018 + 0.417170i
\(43\) −307.167 385.175i −1.08936 1.36602i −0.925155 0.379590i \(-0.876065\pi\)
−0.164206 0.986426i \(-0.552506\pi\)
\(44\) −111.025 + 139.221i −0.380402 + 0.477009i
\(45\) −94.7866 45.6468i −0.313999 0.151214i
\(46\) −164.719 + 206.552i −0.527968 + 0.662051i
\(47\) 14.5738 63.8522i 0.0452301 0.198166i −0.947265 0.320452i \(-0.896165\pi\)
0.992495 + 0.122286i \(0.0390225\pi\)
\(48\) −9.45540 −0.0284327
\(49\) 51.2962 + 339.143i 0.149552 + 0.988754i
\(50\) −117.780 −0.333131
\(51\) −67.4935 + 295.708i −0.185313 + 0.811911i
\(52\) 75.9405 95.2264i 0.202520 0.253952i
\(53\) 384.604 + 185.215i 0.996780 + 0.480024i 0.859845 0.510556i \(-0.170560\pi\)
0.136936 + 0.990580i \(0.456275\pi\)
\(54\) 157.084 196.977i 0.395860 0.496393i
\(55\) −163.163 204.600i −0.400017 0.501605i
\(56\) 406.324 76.9890i 0.969594 0.183716i
\(57\) −128.654 + 161.327i −0.298959 + 0.374882i
\(58\) 41.5705 + 182.132i 0.0941116 + 0.412330i
\(59\) −220.711 276.763i −0.487019 0.610703i 0.476227 0.879322i \(-0.342004\pi\)
−0.963246 + 0.268620i \(0.913433\pi\)
\(60\) 30.4728 133.510i 0.0655670 0.287268i
\(61\) 542.352 261.183i 1.13838 0.548214i 0.232855 0.972511i \(-0.425193\pi\)
0.905523 + 0.424297i \(0.139479\pi\)
\(62\) 23.1520 101.436i 0.0474244 0.207780i
\(63\) 121.651 230.319i 0.243280 0.460595i
\(64\) −64.8314 284.045i −0.126624 0.554776i
\(65\) 111.603 + 139.945i 0.212963 + 0.267047i
\(66\) 193.384 93.1287i 0.360665 0.173687i
\(67\) 49.6643 0.0905591 0.0452796 0.998974i \(-0.485582\pi\)
0.0452796 + 0.998974i \(0.485582\pi\)
\(68\) 429.256 0.765513
\(69\) −501.856 + 241.681i −0.875599 + 0.421666i
\(70\) −8.77571 + 236.164i −0.0149842 + 0.403242i
\(71\) −40.7473 19.6229i −0.0681101 0.0328001i 0.399519 0.916725i \(-0.369177\pi\)
−0.467629 + 0.883925i \(0.654892\pi\)
\(72\) −282.949 136.261i −0.463137 0.223035i
\(73\) −168.649 738.899i −0.270395 1.18468i −0.909548 0.415599i \(-0.863572\pi\)
0.639153 0.769080i \(-0.279285\pi\)
\(74\) 75.1184 + 329.115i 0.118004 + 0.517011i
\(75\) −223.735 107.745i −0.344463 0.165884i
\(76\) 263.105 + 126.705i 0.397108 + 0.191237i
\(77\) 521.211 384.879i 0.771397 0.569624i
\(78\) −132.273 + 63.6994i −0.192013 + 0.0924685i
\(79\) −513.479 −0.731278 −0.365639 0.930757i \(-0.619149\pi\)
−0.365639 + 0.930757i \(0.619149\pi\)
\(80\) −19.6655 −0.0274834
\(81\) 136.466 65.7184i 0.187196 0.0901487i
\(82\) −398.688 499.939i −0.536924 0.673281i
\(83\) −22.1781 97.1685i −0.0293297 0.128502i 0.958144 0.286288i \(-0.0924214\pi\)
−0.987473 + 0.157786i \(0.949564\pi\)
\(84\) 327.521 + 87.6686i 0.425423 + 0.113874i
\(85\) −140.374 + 615.020i −0.179126 + 0.784803i
\(86\) 757.178 364.638i 0.949402 0.457208i
\(87\) −87.6474 + 384.008i −0.108009 + 0.473219i
\(88\) −487.062 610.756i −0.590011 0.739850i
\(89\) 253.045 + 1108.66i 0.301379 + 1.32043i 0.868047 + 0.496483i \(0.165375\pi\)
−0.566667 + 0.823947i \(0.691767\pi\)
\(90\) 111.895 140.312i 0.131053 0.164335i
\(91\) −356.505 + 263.255i −0.410680 + 0.303259i
\(92\) 491.500 + 616.321i 0.556983 + 0.698434i
\(93\) 136.773 171.508i 0.152502 0.191232i
\(94\) 100.660 + 48.4752i 0.110450 + 0.0531897i
\(95\) −267.577 + 335.531i −0.288977 + 0.362366i
\(96\) 146.558 642.113i 0.155813 0.682661i
\(97\) 853.558 0.893460 0.446730 0.894669i \(-0.352588\pi\)
0.446730 + 0.894669i \(0.352588\pi\)
\(98\) −583.496 43.4247i −0.601449 0.0447608i
\(99\) −492.023 −0.499496
\(100\) −78.2024 + 342.627i −0.0782024 + 0.342627i
\(101\) 368.257 461.779i 0.362801 0.454938i −0.566609 0.823987i \(-0.691745\pi\)
0.929410 + 0.369049i \(0.120316\pi\)
\(102\) −466.169 224.495i −0.452526 0.217925i
\(103\) −1158.92 + 1453.24i −1.10866 + 1.39021i −0.196432 + 0.980517i \(0.562936\pi\)
−0.912224 + 0.409693i \(0.865636\pi\)
\(104\) 333.147 + 417.753i 0.314113 + 0.393885i
\(105\) −232.713 + 440.590i −0.216290 + 0.409497i
\(106\) −454.021 + 569.324i −0.416023 + 0.521676i
\(107\) 75.5878 + 331.172i 0.0682930 + 0.299211i 0.997527 0.0702799i \(-0.0223892\pi\)
−0.929234 + 0.369491i \(0.879532\pi\)
\(108\) −468.718 587.753i −0.417615 0.523672i
\(109\) −4.18779 + 18.3479i −0.00367998 + 0.0161230i −0.976735 0.214452i \(-0.931204\pi\)
0.973055 + 0.230575i \(0.0740607\pi\)
\(110\) 402.203 193.691i 0.348624 0.167888i
\(111\) −158.380 + 693.907i −0.135430 + 0.593358i
\(112\) 1.80800 48.6553i 0.00152536 0.0410491i
\(113\) −287.127 1257.98i −0.239032 1.04727i −0.941886 0.335933i \(-0.890948\pi\)
0.702854 0.711334i \(-0.251909\pi\)
\(114\) −219.466 275.201i −0.180306 0.226096i
\(115\) −1043.77 + 502.653i −0.846365 + 0.407588i
\(116\) 557.434 0.446176
\(117\) 336.540 0.265924
\(118\) 544.061 262.006i 0.424448 0.204403i
\(119\) −1508.74 403.850i −1.16224 0.311100i
\(120\) 541.269 + 260.662i 0.411757 + 0.198292i
\(121\) 96.5062 + 46.4749i 0.0725065 + 0.0349173i
\(122\) 228.500 + 1001.12i 0.169569 + 0.742929i
\(123\) −300.005 1314.41i −0.219923 0.963547i
\(124\) −279.709 134.701i −0.202570 0.0975524i
\(125\) −1307.77 629.791i −0.935768 0.450642i
\(126\) 336.864 + 289.744i 0.238176 + 0.204860i
\(127\) 2064.70 994.308i 1.44262 0.694729i 0.461323 0.887232i \(-0.347375\pi\)
0.981296 + 0.192504i \(0.0616607\pi\)
\(128\) −967.980 −0.668423
\(129\) 1771.91 1.20937
\(130\) −275.105 + 132.483i −0.185602 + 0.0893812i
\(131\) 253.313 + 317.645i 0.168947 + 0.211853i 0.859096 0.511814i \(-0.171026\pi\)
−0.690149 + 0.723667i \(0.742455\pi\)
\(132\) −142.515 624.398i −0.0939721 0.411719i
\(133\) −805.552 692.873i −0.525190 0.451727i
\(134\) −18.8520 + 82.5962i −0.0121535 + 0.0532479i
\(135\) 995.388 479.354i 0.634588 0.305601i
\(136\) −419.034 + 1835.91i −0.264205 + 1.15756i
\(137\) −3.50475 4.39482i −0.00218563 0.00274069i 0.780737 0.624859i \(-0.214844\pi\)
−0.782923 + 0.622118i \(0.786272\pi\)
\(138\) −211.438 926.370i −0.130426 0.571434i
\(139\) 1381.04 1731.77i 0.842724 1.05674i −0.154906 0.987929i \(-0.549507\pi\)
0.997630 0.0688130i \(-0.0219212\pi\)
\(140\) 681.185 + 182.335i 0.411219 + 0.110072i
\(141\) 146.869 + 184.168i 0.0877204 + 0.109998i
\(142\) 48.1018 60.3178i 0.0284269 0.0356462i
\(143\) 754.228 + 363.217i 0.441061 + 0.212404i
\(144\) −23.0530 + 28.9075i −0.0133408 + 0.0167289i
\(145\) −182.291 + 798.668i −0.104403 + 0.457419i
\(146\) 1292.87 0.732869
\(147\) −1068.69 616.273i −0.599618 0.345778i
\(148\) 1007.29 0.559450
\(149\) 368.580 1614.86i 0.202653 0.887880i −0.766661 0.642053i \(-0.778083\pi\)
0.969314 0.245828i \(-0.0790598\pi\)
\(150\) 264.117 331.192i 0.143767 0.180278i
\(151\) 2026.34 + 975.836i 1.09206 + 0.525910i 0.891155 0.453700i \(-0.149896\pi\)
0.200909 + 0.979610i \(0.435610\pi\)
\(152\) −798.750 + 1001.60i −0.426231 + 0.534477i
\(153\) 739.500 + 927.304i 0.390752 + 0.489987i
\(154\) 442.242 + 1012.92i 0.231408 + 0.530020i
\(155\) 284.464 356.706i 0.147411 0.184847i
\(156\) 97.4792 + 427.084i 0.0500294 + 0.219193i
\(157\) 2014.04 + 2525.52i 1.02381 + 1.28381i 0.958240 + 0.285965i \(0.0923140\pi\)
0.0655664 + 0.997848i \(0.479115\pi\)
\(158\) 194.911 853.962i 0.0981412 0.429985i
\(159\) −1383.28 + 666.153i −0.689945 + 0.332260i
\(160\) 304.815 1335.48i 0.150611 0.659868i
\(161\) −1147.67 2628.65i −0.561797 1.28675i
\(162\) 57.4947 + 251.901i 0.0278840 + 0.122168i
\(163\) −2005.09 2514.30i −0.963502 1.20819i −0.978065 0.208299i \(-0.933207\pi\)
0.0145636 0.999894i \(-0.495364\pi\)
\(164\) −1719.07 + 827.859i −0.818516 + 0.394176i
\(165\) 941.217 0.444083
\(166\) 170.019 0.0794939
\(167\) −2255.07 + 1085.98i −1.04492 + 0.503209i −0.875945 0.482410i \(-0.839761\pi\)
−0.168979 + 0.985620i \(0.554047\pi\)
\(168\) −694.677 + 1315.21i −0.319021 + 0.603993i
\(169\) 1463.54 + 704.804i 0.666155 + 0.320803i
\(170\) −969.548 466.910i −0.437417 0.210649i
\(171\) 179.549 + 786.655i 0.0802950 + 0.351796i
\(172\) −558.005 2444.78i −0.247369 1.08379i
\(173\) −2497.01 1202.49i −1.09736 0.528462i −0.204535 0.978859i \(-0.565568\pi\)
−0.892828 + 0.450397i \(0.851283\pi\)
\(174\) −605.370 291.531i −0.263753 0.127017i
\(175\) 597.213 1130.69i 0.257972 0.488411i
\(176\) −82.8635 + 39.9050i −0.0354890 + 0.0170906i
\(177\) 1273.19 0.540669
\(178\) −1939.86 −0.816847
\(179\) 761.266 366.606i 0.317875 0.153081i −0.268142 0.963380i \(-0.586409\pi\)
0.586017 + 0.810299i \(0.300695\pi\)
\(180\) −333.878 418.670i −0.138255 0.173366i
\(181\) −9.28465 40.6787i −0.00381283 0.0167051i 0.972986 0.230865i \(-0.0741557\pi\)
−0.976799 + 0.214160i \(0.931299\pi\)
\(182\) −302.490 692.828i −0.123198 0.282175i
\(183\) −481.770 + 2110.77i −0.194609 + 0.852637i
\(184\) −3115.78 + 1500.48i −1.24836 + 0.601178i
\(185\) −329.402 + 1443.20i −0.130909 + 0.573548i
\(186\) 233.316 + 292.569i 0.0919761 + 0.115334i
\(187\) 656.501 + 2876.32i 0.256728 + 1.12480i
\(188\) 207.852 260.638i 0.0806339 0.101112i
\(189\) 1094.48 + 2506.80i 0.421224 + 0.964778i
\(190\) −456.449 572.369i −0.174286 0.218547i
\(191\) −896.530 + 1124.21i −0.339637 + 0.425891i −0.922091 0.386972i \(-0.873521\pi\)
0.582455 + 0.812863i \(0.302092\pi\)
\(192\) 944.108 + 454.658i 0.354870 + 0.170897i
\(193\) −332.207 + 416.574i −0.123900 + 0.155366i −0.839913 0.542721i \(-0.817394\pi\)
0.716012 + 0.698087i \(0.245965\pi\)
\(194\) −324.001 + 1419.54i −0.119907 + 0.525347i
\(195\) −643.786 −0.236423
\(196\) −513.749 + 1668.59i −0.187226 + 0.608085i
\(197\) 3758.28 1.35922 0.679611 0.733573i \(-0.262149\pi\)
0.679611 + 0.733573i \(0.262149\pi\)
\(198\) 186.767 818.278i 0.0670350 0.293699i
\(199\) 3025.48 3793.83i 1.07774 1.35144i 0.145603 0.989343i \(-0.453488\pi\)
0.932139 0.362102i \(-0.117941\pi\)
\(200\) −1389.06 668.936i −0.491107 0.236505i
\(201\) −111.371 + 139.654i −0.0390820 + 0.0490073i
\(202\) 628.194 + 787.730i 0.218810 + 0.274379i
\(203\) −1959.26 524.441i −0.677404 0.181323i
\(204\) −962.592 + 1207.05i −0.330367 + 0.414267i
\(205\) −623.957 2733.73i −0.212581 0.931377i
\(206\) −1976.95 2479.02i −0.668644 0.838453i
\(207\) −484.683 + 2123.54i −0.162743 + 0.713024i
\(208\) 56.6781 27.2947i 0.0188938 0.00909879i
\(209\) −446.621 + 1956.77i −0.147815 + 0.647621i
\(210\) −644.405 554.266i −0.211753 0.182133i
\(211\) −486.626 2132.05i −0.158771 0.695621i −0.990161 0.139932i \(-0.955312\pi\)
0.831390 0.555689i \(-0.187546\pi\)
\(212\) 1354.74 + 1698.78i 0.438885 + 0.550344i
\(213\) 146.553 70.5764i 0.0471440 0.0227033i
\(214\) −579.460 −0.185099
\(215\) 3685.26 1.16899
\(216\) 2971.35 1430.93i 0.935995 0.450751i
\(217\) 856.390 + 736.599i 0.267906 + 0.230431i
\(218\) −28.9246 13.9293i −0.00898632 0.00432758i
\(219\) 2455.95 + 1182.72i 0.757797 + 0.364936i
\(220\) −296.405 1298.64i −0.0908347 0.397973i
\(221\) −449.043 1967.38i −0.136678 0.598826i
\(222\) −1093.91 526.800i −0.330714 0.159263i
\(223\) −137.289 66.1147i −0.0412265 0.0198537i 0.413157 0.910660i \(-0.364426\pi\)
−0.454383 + 0.890806i \(0.650140\pi\)
\(224\) 3276.15 + 876.936i 0.977217 + 0.261575i
\(225\) −874.886 + 421.323i −0.259226 + 0.124836i
\(226\) 2201.13 0.647862
\(227\) −4271.80 −1.24903 −0.624514 0.781013i \(-0.714703\pi\)
−0.624514 + 0.781013i \(0.714703\pi\)
\(228\) −946.293 + 455.711i −0.274868 + 0.132369i
\(229\) 44.6822 + 56.0298i 0.0128938 + 0.0161683i 0.788237 0.615372i \(-0.210994\pi\)
−0.775343 + 0.631541i \(0.782423\pi\)
\(230\) −439.753 1926.68i −0.126072 0.552355i
\(231\) −86.5334 + 2328.71i −0.0246471 + 0.663280i
\(232\) −544.160 + 2384.12i −0.153991 + 0.674677i
\(233\) −893.383 + 430.231i −0.251191 + 0.120967i −0.555243 0.831688i \(-0.687375\pi\)
0.304052 + 0.952655i \(0.401660\pi\)
\(234\) −127.747 + 559.697i −0.0356884 + 0.156361i
\(235\) 305.461 + 383.035i 0.0847917 + 0.106325i
\(236\) −400.947 1756.67i −0.110591 0.484530i
\(237\) 1151.46 1443.89i 0.315593 0.395740i
\(238\) 1244.34 2355.88i 0.338902 0.641633i
\(239\) −4572.85 5734.17i −1.23763 1.55194i −0.714385 0.699753i \(-0.753293\pi\)
−0.523243 0.852183i \(-0.675278\pi\)
\(240\) 44.0993 55.2988i 0.0118608 0.0148730i
\(241\) 5635.86 + 2714.09i 1.50638 + 0.725434i 0.991289 0.131702i \(-0.0420442\pi\)
0.515090 + 0.857136i \(0.327759\pi\)
\(242\) −113.925 + 142.857i −0.0302618 + 0.0379471i
\(243\) 766.128 3356.62i 0.202251 0.886122i
\(244\) 3064.03 0.803912
\(245\) −2222.68 1281.74i −0.579598 0.334233i
\(246\) 2299.86 0.596072
\(247\) 305.485 1338.42i 0.0786946 0.344784i
\(248\) 849.158 1064.81i 0.217426 0.272643i
\(249\) 322.968 + 155.533i 0.0821979 + 0.0395844i
\(250\) 1543.82 1935.88i 0.390558 0.489744i
\(251\) 1497.52 + 1877.82i 0.376583 + 0.472220i 0.933619 0.358269i \(-0.116633\pi\)
−0.557036 + 0.830489i \(0.688061\pi\)
\(252\) 1066.55 787.572i 0.266612 0.196874i
\(253\) −3378.10 + 4236.00i −0.839443 + 1.05263i
\(254\) 869.884 + 3811.21i 0.214887 + 0.941483i
\(255\) −1414.63 1773.89i −0.347402 0.435629i
\(256\) 886.087 3882.20i 0.216330 0.947802i
\(257\) 298.075 143.545i 0.0723478 0.0348409i −0.397360 0.917663i \(-0.630074\pi\)
0.469708 + 0.882822i \(0.344359\pi\)
\(258\) −672.598 + 2946.85i −0.162303 + 0.711096i
\(259\) −3540.41 947.672i −0.849383 0.227357i
\(260\) 202.739 + 888.258i 0.0483590 + 0.211875i
\(261\) 960.319 + 1204.20i 0.227748 + 0.285587i
\(262\) −624.426 + 300.708i −0.147241 + 0.0709076i
\(263\) 3660.91 0.858332 0.429166 0.903226i \(-0.358807\pi\)
0.429166 + 0.903226i \(0.358807\pi\)
\(264\) 2809.65 0.655007
\(265\) −2876.97 + 1385.48i −0.666910 + 0.321167i
\(266\) 1458.09 1076.70i 0.336094 0.248183i
\(267\) −3684.97 1774.59i −0.844632 0.406753i
\(268\) 227.759 + 109.683i 0.0519127 + 0.0249999i
\(269\) −1681.28 7366.19i −0.381077 1.66961i −0.694113 0.719867i \(-0.744203\pi\)
0.313035 0.949741i \(-0.398654\pi\)
\(270\) 419.369 + 1837.38i 0.0945259 + 0.414145i
\(271\) 2970.69 + 1430.61i 0.665892 + 0.320677i 0.736117 0.676854i \(-0.236657\pi\)
−0.0702247 + 0.997531i \(0.522372\pi\)
\(272\) 199.750 + 96.1946i 0.0445281 + 0.0214436i
\(273\) 59.1883 1592.82i 0.0131218 0.353120i
\(274\) 8.63935 4.16049i 0.00190482 0.000917315i
\(275\) −2415.45 −0.529662
\(276\) −2835.25 −0.618340
\(277\) −6776.40 + 3263.34i −1.46987 + 0.707853i −0.985916 0.167240i \(-0.946514\pi\)
−0.483955 + 0.875093i \(0.660800\pi\)
\(278\) 2355.87 + 2954.16i 0.508257 + 0.637334i
\(279\) −190.880 836.301i −0.0409595 0.179455i
\(280\) −1444.80 + 2735.41i −0.308370 + 0.583828i
\(281\) −775.188 + 3396.32i −0.164569 + 0.721023i 0.823539 + 0.567260i \(0.191996\pi\)
−0.988108 + 0.153763i \(0.950861\pi\)
\(282\) −362.037 + 174.348i −0.0764503 + 0.0368165i
\(283\) −1133.72 + 4967.15i −0.238137 + 1.04335i 0.704547 + 0.709657i \(0.251150\pi\)
−0.942684 + 0.333688i \(0.891707\pi\)
\(284\) −143.529 179.980i −0.0299891 0.0376051i
\(285\) −343.469 1504.84i −0.0713872 0.312768i
\(286\) −890.359 + 1116.48i −0.184084 + 0.230834i
\(287\) 6821.02 1292.43i 1.40290 0.265817i
\(288\) −1605.78 2013.59i −0.328547 0.411985i
\(289\) 1371.02 1719.21i 0.279060 0.349930i
\(290\) −1259.06 606.332i −0.254947 0.122776i
\(291\) −1914.08 + 2400.18i −0.385585 + 0.483508i
\(292\) 858.431 3761.03i 0.172041 0.753759i
\(293\) −6332.44 −1.26261 −0.631306 0.775534i \(-0.717481\pi\)
−0.631306 + 0.775534i \(0.717481\pi\)
\(294\) 1430.58 1543.39i 0.283786 0.306165i
\(295\) 2648.00 0.522618
\(296\) −983.303 + 4308.13i −0.193086 + 0.845963i
\(297\) 3221.51 4039.65i 0.629398 0.789240i
\(298\) 2545.74 + 1225.96i 0.494868 + 0.238316i
\(299\) 2310.60 2897.40i 0.446907 0.560404i
\(300\) −788.089 988.232i −0.151668 0.190185i
\(301\) −338.814 + 9117.85i −0.0648802 + 1.74599i
\(302\) −2392.08 + 2999.57i −0.455791 + 0.571543i
\(303\) 472.704 + 2071.05i 0.0896241 + 0.392669i
\(304\) 94.0394 + 117.922i 0.0177419 + 0.0222476i
\(305\) −1001.99 + 4390.02i −0.188111 + 0.824170i
\(306\) −1822.90 + 877.860i −0.340549 + 0.164000i
\(307\) −1216.54 + 5330.02i −0.226162 + 0.990880i 0.726576 + 0.687086i \(0.241111\pi\)
−0.952738 + 0.303794i \(0.901747\pi\)
\(308\) 3240.26 613.955i 0.599452 0.113582i
\(309\) −1487.62 6517.67i −0.273875 1.19993i
\(310\) 485.255 + 608.491i 0.0889053 + 0.111484i
\(311\) −2098.43 + 1010.55i −0.382608 + 0.184254i −0.615294 0.788298i \(-0.710963\pi\)
0.232686 + 0.972552i \(0.425249\pi\)
\(312\) −1921.78 −0.348716
\(313\) −8223.30 −1.48501 −0.742506 0.669840i \(-0.766363\pi\)
−0.742506 + 0.669840i \(0.766363\pi\)
\(314\) −4964.67 + 2390.86i −0.892270 + 0.429695i
\(315\) 779.621 + 1785.65i 0.139450 + 0.319398i
\(316\) −2354.80 1134.01i −0.419203 0.201877i
\(317\) 1189.77 + 572.965i 0.210802 + 0.101517i 0.536306 0.844024i \(-0.319819\pi\)
−0.325503 + 0.945541i \(0.605534\pi\)
\(318\) −582.793 2553.38i −0.102772 0.450272i
\(319\) 852.536 + 3735.20i 0.149633 + 0.655584i
\(320\) 1963.57 + 945.607i 0.343022 + 0.165191i
\(321\) −1100.75 530.092i −0.191395 0.0921708i
\(322\) 4807.32 910.877i 0.831992 0.157643i
\(323\) 4359.14 2099.25i 0.750927 0.361627i
\(324\) 770.966 0.132196
\(325\) 1652.15 0.281984
\(326\) 4942.62 2380.24i 0.839713 0.404384i
\(327\) −42.2027 52.9205i −0.00713704 0.00894957i
\(328\) −1862.59 8160.52i −0.313549 1.37375i
\(329\) −975.768 + 720.538i −0.163513 + 0.120743i
\(330\) −357.276 + 1565.33i −0.0595982 + 0.261117i
\(331\) 1305.54 628.716i 0.216795 0.104403i −0.322335 0.946626i \(-0.604468\pi\)
0.539129 + 0.842223i \(0.318753\pi\)
\(332\) 112.888 494.592i 0.0186612 0.0817599i
\(333\) 1735.31 + 2176.01i 0.285568 + 0.358091i
\(334\) −950.088 4162.61i −0.155648 0.681939i
\(335\) −231.631 + 290.456i −0.0377772 + 0.0473710i
\(336\) 132.763 + 114.192i 0.0215560 + 0.0185407i
\(337\) −7180.09 9003.54i −1.16061 1.45535i −0.866217 0.499668i \(-0.833455\pi\)
−0.294389 0.955686i \(-0.595116\pi\)
\(338\) −1727.70 + 2166.46i −0.278031 + 0.348639i
\(339\) 4181.28 + 2013.60i 0.669899 + 0.322607i
\(340\) −2002.02 + 2510.45i −0.319337 + 0.400436i
\(341\) 474.806 2080.26i 0.0754024 0.330359i
\(342\) −1376.43 −0.217629
\(343\) 3375.55 5381.38i 0.531378 0.847135i
\(344\) 11000.9 1.72422
\(345\) 927.177 4062.23i 0.144688 0.633922i
\(346\) 2947.69 3696.29i 0.458003 0.574317i
\(347\) 1122.71 + 540.669i 0.173690 + 0.0836445i 0.518708 0.854951i \(-0.326413\pi\)
−0.345019 + 0.938596i \(0.612127\pi\)
\(348\) −1250.03 + 1567.48i −0.192553 + 0.241454i
\(349\) −627.770 787.199i −0.0962859 0.120739i 0.731354 0.681998i \(-0.238889\pi\)
−0.827640 + 0.561259i \(0.810317\pi\)
\(350\) 1653.74 + 1422.41i 0.252560 + 0.217232i
\(351\) −2203.49 + 2763.09i −0.335082 + 0.420180i
\(352\) −1425.55 6245.76i −0.215859 0.945739i
\(353\) −5677.12 7118.88i −0.855984 1.07337i −0.996525 0.0832954i \(-0.973455\pi\)
0.140541 0.990075i \(-0.455116\pi\)
\(354\) −483.287 + 2117.42i −0.0725606 + 0.317909i
\(355\) 304.805 146.786i 0.0455700 0.0219454i
\(356\) −1288.01 + 5643.16i −0.191754 + 0.840131i
\(357\) 4518.92 3336.91i 0.669934 0.494700i
\(358\) 320.731 + 1405.21i 0.0473496 + 0.207452i
\(359\) 7851.74 + 9845.77i 1.15431 + 1.44746i 0.872914 + 0.487874i \(0.162227\pi\)
0.281400 + 0.959591i \(0.409201\pi\)
\(360\) 2116.56 1019.28i 0.309869 0.149225i
\(361\) −3567.49 −0.520119
\(362\) 71.1767 0.0103342
\(363\) −347.098 + 167.154i −0.0501871 + 0.0241688i
\(364\) −2216.32 + 419.941i −0.319139 + 0.0604695i
\(365\) 5107.93 + 2459.85i 0.732496 + 0.352752i
\(366\) −3327.52 1602.45i −0.475225 0.228856i
\(367\) 1538.24 + 6739.47i 0.218789 + 0.958576i 0.958375 + 0.285514i \(0.0921643\pi\)
−0.739586 + 0.673062i \(0.764979\pi\)
\(368\) 90.5996 + 396.943i 0.0128338 + 0.0562284i
\(369\) −4749.91 2287.44i −0.670110 0.322708i
\(370\) −2275.14 1095.65i −0.319672 0.153946i
\(371\) −3163.37 7245.42i −0.442679 1.01392i
\(372\) 1006.01 484.470i 0.140213 0.0675232i
\(373\) 4009.16 0.556532 0.278266 0.960504i \(-0.410240\pi\)
0.278266 + 0.960504i \(0.410240\pi\)
\(374\) −5032.78 −0.695825
\(375\) 4703.59 2265.13i 0.647713 0.311922i
\(376\) 911.836 + 1143.41i 0.125065 + 0.156826i
\(377\) −583.129 2554.85i −0.0796623 0.349023i
\(378\) −4584.49 + 868.655i −0.623811 + 0.118198i
\(379\) 1239.11 5428.88i 0.167938 0.735786i −0.818881 0.573963i \(-0.805405\pi\)
0.986820 0.161823i \(-0.0517374\pi\)
\(380\) −1968.12 + 947.796i −0.265690 + 0.127950i
\(381\) −1834.07 + 8035.57i −0.246620 + 1.08051i
\(382\) −1529.35 1917.75i −0.204839 0.256860i
\(383\) 1959.49 + 8585.08i 0.261423 + 1.14537i 0.919708 + 0.392602i \(0.128425\pi\)
−0.658285 + 0.752769i \(0.728718\pi\)
\(384\) 2170.66 2721.93i 0.288467 0.361726i
\(385\) −179.974 + 4843.29i −0.0238242 + 0.641135i
\(386\) −566.697 710.616i −0.0747258 0.0937031i
\(387\) 4320.05 5417.18i 0.567444 0.711552i
\(388\) 3914.39 + 1885.07i 0.512173 + 0.246650i
\(389\) 5192.39 6511.05i 0.676773 0.848646i −0.318280 0.947997i \(-0.603105\pi\)
0.995052 + 0.0993507i \(0.0316766\pi\)
\(390\) 244.374 1070.67i 0.0317292 0.139015i
\(391\) 13060.7 1.68928
\(392\) −6634.96 3826.14i −0.854887 0.492982i
\(393\) −1461.25 −0.187558
\(394\) −1426.60 + 6250.36i −0.182414 + 0.799210i
\(395\) 2394.83 3003.02i 0.305056 0.382528i
\(396\) −2256.40 1086.63i −0.286335 0.137892i
\(397\) 1596.77 2002.29i 0.201863 0.253128i −0.670588 0.741830i \(-0.733958\pi\)
0.872451 + 0.488702i \(0.162529\pi\)
\(398\) 5161.04 + 6471.74i 0.649999 + 0.815073i
\(399\) 3754.76 711.440i 0.471110 0.0892646i
\(400\) −113.172 + 141.913i −0.0141465 + 0.0177392i
\(401\) −964.782 4226.98i −0.120147 0.526398i −0.998802 0.0489403i \(-0.984416\pi\)
0.878655 0.477458i \(-0.158442\pi\)
\(402\) −189.983 238.231i −0.0235708 0.0295569i
\(403\) −324.764 + 1422.89i −0.0401431 + 0.175878i
\(404\) 2708.65 1304.42i 0.333565 0.160637i
\(405\) −252.120 + 1104.61i −0.0309332 + 0.135527i
\(406\) 1615.91 3059.35i 0.197527 0.373973i
\(407\) 1540.54 + 6749.56i 0.187621 + 0.822022i
\(408\) −4222.84 5295.27i −0.512406 0.642537i
\(409\) −2203.61 + 1061.20i −0.266410 + 0.128296i −0.562320 0.826919i \(-0.690091\pi\)
0.295911 + 0.955216i \(0.404377\pi\)
\(410\) 4783.29 0.576170
\(411\) 20.2174 0.00242640
\(412\) −8524.22 + 4105.05i −1.01932 + 0.490877i
\(413\) −243.451 + 6551.52i −0.0290059 + 0.780579i
\(414\) −3347.65 1612.14i −0.397410 0.191383i
\(415\) 671.716 + 323.481i 0.0794536 + 0.0382628i
\(416\) 975.070 + 4272.06i 0.114920 + 0.503497i
\(417\) 1772.74 + 7766.90i 0.208181 + 0.912102i
\(418\) −3084.75 1485.54i −0.360958 0.173828i
\(419\) −10767.1 5185.15i −1.25538 0.604561i −0.316433 0.948615i \(-0.602485\pi\)
−0.938950 + 0.344054i \(0.888200\pi\)
\(420\) −2040.26 + 1506.59i −0.237034 + 0.175033i
\(421\) −8942.83 + 4306.64i −1.03527 + 0.498558i −0.872760 0.488150i \(-0.837672\pi\)
−0.162506 + 0.986708i \(0.551958\pi\)
\(422\) 3730.50 0.430327
\(423\) 921.124 0.105878
\(424\) −8588.11 + 4135.81i −0.983668 + 0.473710i
\(425\) 3630.37 + 4552.34i 0.414350 + 0.519579i
\(426\) 61.7447 + 270.521i 0.00702240 + 0.0307671i
\(427\) −10769.4 2882.69i −1.22054 0.326705i
\(428\) −384.745 + 1685.68i −0.0434518 + 0.190375i
\(429\) −2712.69 + 1306.36i −0.305291 + 0.147020i
\(430\) −1398.88 + 6128.91i −0.156884 + 0.687354i
\(431\) −7317.88 9176.33i −0.817842 1.02554i −0.999113 0.0421080i \(-0.986593\pi\)
0.181271 0.983433i \(-0.441979\pi\)
\(432\) −86.4000 378.543i −0.00962251 0.0421590i
\(433\) 10334.5 12959.1i 1.14699 1.43828i 0.266733 0.963770i \(-0.414056\pi\)
0.880253 0.474505i \(-0.157373\pi\)
\(434\) −1550.11 + 1144.65i −0.171446 + 0.126601i
\(435\) −1837.05 2303.58i −0.202482 0.253904i
\(436\) −59.7262 + 74.8943i −0.00656047 + 0.00822658i
\(437\) 8005.33 + 3855.16i 0.876309 + 0.422008i
\(438\) −2899.22 + 3635.51i −0.316279 + 0.396601i
\(439\) −908.130 + 3978.78i −0.0987305 + 0.432567i −1.00000 0.000692759i \(-0.999779\pi\)
0.901269 + 0.433259i \(0.142637\pi\)
\(440\) 5843.56 0.633138
\(441\) −4489.64 + 1764.72i −0.484790 + 0.190554i
\(442\) 3442.39 0.370447
\(443\) −1995.55 + 8743.10i −0.214022 + 0.937691i 0.747781 + 0.663946i \(0.231120\pi\)
−0.961802 + 0.273745i \(0.911738\pi\)
\(444\) −2258.81 + 2832.46i −0.241438 + 0.302754i
\(445\) −7664.08 3690.83i −0.816432 0.393173i
\(446\) 162.068 203.227i 0.0172066 0.0215764i
\(447\) 3714.39 + 4657.70i 0.393031 + 0.492845i
\(448\) −2520.09 + 4771.23i −0.265766 + 0.503168i
\(449\) −2251.16 + 2822.87i −0.236612 + 0.296702i −0.885934 0.463812i \(-0.846481\pi\)
0.649322 + 0.760514i \(0.275053\pi\)
\(450\) −368.600 1614.94i −0.0386133 0.169176i
\(451\) −8176.38 10252.9i −0.853682 1.07048i
\(452\) 1461.49 6403.20i 0.152085 0.666330i
\(453\) −7288.03 + 3509.73i −0.755897 + 0.364021i
\(454\) 1621.53 7104.39i 0.167626 0.734417i
\(455\) 123.101 3312.78i 0.0126837 0.341331i
\(456\) −1025.30 4492.11i −0.105294 0.461321i
\(457\) −3755.10 4708.75i −0.384368 0.481982i 0.551579 0.834123i \(-0.314025\pi\)
−0.935947 + 0.352140i \(0.885454\pi\)
\(458\) −110.143 + 53.0423i −0.0112373 + 0.00541158i
\(459\) −12455.3 −1.26659
\(460\) −5896.80 −0.597695
\(461\) 7627.03 3672.98i 0.770556 0.371080i −0.00693378 0.999976i \(-0.502207\pi\)
0.777490 + 0.628896i \(0.216493\pi\)
\(462\) −3840.00 1027.86i −0.386695 0.103508i
\(463\) 13750.6 + 6621.95i 1.38023 + 0.664683i 0.969048 0.246871i \(-0.0794024\pi\)
0.411180 + 0.911554i \(0.365117\pi\)
\(464\) 259.397 + 124.919i 0.0259530 + 0.0124983i
\(465\) 365.145 + 1599.80i 0.0364155 + 0.159547i
\(466\) −376.393 1649.09i −0.0374165 0.163932i
\(467\) 11632.4 + 5601.87i 1.15264 + 0.555083i 0.909826 0.414990i \(-0.136215\pi\)
0.242815 + 0.970073i \(0.421929\pi\)
\(468\) 1543.37 + 743.245i 0.152440 + 0.0734114i
\(469\) −697.334 599.792i −0.0686565 0.0590529i
\(470\) −752.971 + 362.612i −0.0738978 + 0.0355873i
\(471\) −11618.1 −1.13659
\(472\) 7904.58 0.770843
\(473\) 15528.4 7478.06i 1.50950 0.726938i
\(474\) 1964.23 + 2463.07i 0.190338 + 0.238676i
\(475\) 881.445 + 3861.86i 0.0851442 + 0.373041i
\(476\) −6027.15 5184.08i −0.580366 0.499185i
\(477\) −1335.95 + 5853.16i −0.128236 + 0.561841i
\(478\) 11272.2 5428.43i 1.07862 0.519436i
\(479\) −1107.52 + 4852.35i −0.105645 + 0.462859i 0.894239 + 0.447590i \(0.147718\pi\)
−0.999883 + 0.0152689i \(0.995140\pi\)
\(480\) 3071.79 + 3851.90i 0.292098 + 0.366280i
\(481\) −1053.72 4616.65i −0.0998868 0.437632i
\(482\) −6653.08 + 8342.69i −0.628712 + 0.788380i
\(483\) 9965.29 + 2667.44i 0.938792 + 0.251289i
\(484\) 339.935 + 426.266i 0.0319248 + 0.0400325i
\(485\) −3980.93 + 4991.93i −0.372711 + 0.467365i
\(486\) 5291.55 + 2548.28i 0.493888 + 0.237844i
\(487\) 11168.0 14004.3i 1.03916 1.30307i 0.0874173 0.996172i \(-0.472139\pi\)
0.951744 0.306895i \(-0.0992899\pi\)
\(488\) −2991.07 + 13104.7i −0.277458 + 1.21562i
\(489\) 11566.5 1.06964
\(490\) 2975.35 3209.98i 0.274311 0.295943i
\(491\) 16236.9 1.49239 0.746194 0.665728i \(-0.231879\pi\)
0.746194 + 0.665728i \(0.231879\pi\)
\(492\) 1527.04 6690.40i 0.139927 0.613062i
\(493\) 5758.31 7220.69i 0.526047 0.659642i
\(494\) 2109.95 + 1016.10i 0.192168 + 0.0925434i
\(495\) 2294.76 2877.54i 0.208367 0.261284i
\(496\) −99.9741 125.364i −0.00905034 0.0113488i
\(497\) 335.147 + 767.625i 0.0302483 + 0.0692811i
\(498\) −381.261 + 478.086i −0.0343067 + 0.0430192i
\(499\) −961.114 4210.91i −0.0862232 0.377768i 0.913344 0.407189i \(-0.133491\pi\)
−0.999567 + 0.0294205i \(0.990634\pi\)
\(500\) −4606.53 5776.41i −0.412021 0.516658i
\(501\) 2003.17 8776.46i 0.178633 0.782641i
\(502\) −3691.43 + 1777.70i −0.328200 + 0.158053i
\(503\) 372.909 1633.82i 0.0330561 0.144828i −0.955707 0.294320i \(-0.904907\pi\)
0.988763 + 0.149492i \(0.0477639\pi\)
\(504\) 2327.26 + 5330.39i 0.205683 + 0.471100i
\(505\) 983.138 + 4307.41i 0.0866318 + 0.379559i
\(506\) −5762.56 7226.02i −0.506278 0.634853i
\(507\) −5263.83 + 2534.93i −0.461095 + 0.222051i
\(508\) 11664.6 1.01876
\(509\) −12048.3 −1.04918 −0.524588 0.851356i \(-0.675780\pi\)
−0.524588 + 0.851356i \(0.675780\pi\)
\(510\) 3487.12 1679.31i 0.302769 0.145806i
\(511\) −6555.63 + 12411.6i −0.567523 + 1.07447i
\(512\) −856.869 412.646i −0.0739621 0.0356183i
\(513\) −7634.26 3676.47i −0.657039 0.316413i
\(514\) 125.583 + 550.213i 0.0107767 + 0.0472157i
\(515\) −3093.97 13555.6i −0.264732 1.15986i
\(516\) 8125.94 + 3913.25i 0.693265 + 0.333859i
\(517\) 2064.35 + 994.139i 0.175609 + 0.0845690i
\(518\) 2919.96 5528.28i 0.247675 0.468917i
\(519\) 8980.83 4324.94i 0.759566 0.365788i
\(520\) −3996.95 −0.337073
\(521\) −15543.7 −1.30707 −0.653535 0.756896i \(-0.726715\pi\)
−0.653535 + 0.756896i \(0.726715\pi\)
\(522\) −2367.22 + 1139.99i −0.198487 + 0.0955865i
\(523\) −11312.1 14184.9i −0.945778 1.18597i −0.982428 0.186640i \(-0.940240\pi\)
0.0366504 0.999328i \(-0.488331\pi\)
\(524\) 460.173 + 2016.15i 0.0383640 + 0.168084i
\(525\) 1840.22 + 4214.87i 0.152979 + 0.350385i
\(526\) −1389.64 + 6088.42i −0.115193 + 0.504691i
\(527\) −4634.25 + 2231.74i −0.383057 + 0.184470i
\(528\) 73.6074 322.495i 0.00606695 0.0265810i
\(529\) 7368.57 + 9239.89i 0.605619 + 0.759423i
\(530\) −1212.10 5310.57i −0.0993404 0.435239i
\(531\) 3104.12 3892.45i 0.253686 0.318113i
\(532\) −2164.04 4956.55i −0.176359 0.403935i
\(533\) 5592.59 + 7012.89i 0.454488 + 0.569910i
\(534\) 4350.08 5454.82i 0.352521 0.442047i
\(535\) −2289.35 1102.49i −0.185005 0.0890935i
\(536\) −691.446 + 867.045i −0.0557200 + 0.0698706i
\(537\) −676.230 + 2962.76i −0.0543417 + 0.238086i
\(538\) 12888.8 1.03286
\(539\) −11966.4 890.563i −0.956274 0.0711674i
\(540\) 5623.47 0.448140
\(541\) 1703.95 7465.50i 0.135413 0.593285i −0.860995 0.508613i \(-0.830159\pi\)
0.996409 0.0846722i \(-0.0269843\pi\)
\(542\) −3506.88 + 4397.48i −0.277921 + 0.348502i
\(543\) 135.208 + 65.1126i 0.0106857 + 0.00514594i
\(544\) −9628.66 + 12074.0i −0.758870 + 0.951593i
\(545\) −87.7740 110.065i −0.00689876 0.00865077i
\(546\) 2626.53 + 703.053i 0.205870 + 0.0551060i
\(547\) −5009.46 + 6281.66i −0.391570 + 0.491014i −0.938070 0.346446i \(-0.887389\pi\)
0.546500 + 0.837459i \(0.315960\pi\)
\(548\) −6.36679 27.8947i −0.000496306 0.00217446i
\(549\) 5278.56 + 6619.11i 0.410353 + 0.514566i
\(550\) 916.878 4017.11i 0.0710833 0.311436i
\(551\) 5660.81 2726.10i 0.437674 0.210773i
\(552\) 2767.73 12126.2i 0.213410 0.935012i
\(553\) 7209.74 + 6201.25i 0.554411 + 0.476861i
\(554\) −2854.98 12508.5i −0.218947 0.959268i
\(555\) −3319.56 4162.60i −0.253888 0.318365i
\(556\) 10158.0 4891.85i 0.774814 0.373131i
\(557\) −13763.9 −1.04703 −0.523513 0.852018i \(-0.675379\pi\)
−0.523513 + 0.852018i \(0.675379\pi\)
\(558\) 1463.30 0.111015
\(559\) −10621.3 + 5114.94i −0.803637 + 0.387011i
\(560\) 276.123 + 237.499i 0.0208363 + 0.0179217i
\(561\) −9560.30 4604.00i −0.719494 0.346490i
\(562\) −5354.13 2578.41i −0.401869 0.193530i
\(563\) 723.969 + 3171.92i 0.0541948 + 0.237443i 0.994770 0.102143i \(-0.0325701\pi\)
−0.940575 + 0.339586i \(0.889713\pi\)
\(564\) 266.804 + 1168.95i 0.0199193 + 0.0872722i
\(565\) 8696.31 + 4187.92i 0.647533 + 0.311836i
\(566\) −7830.47 3770.96i −0.581518 0.280044i
\(567\) −2709.78 725.336i −0.200706 0.0537236i
\(568\) 909.878 438.174i 0.0672141 0.0323686i
\(569\) −8034.46 −0.591955 −0.295977 0.955195i \(-0.595645\pi\)
−0.295977 + 0.955195i \(0.595645\pi\)
\(570\) 2633.05 0.193485
\(571\) 3733.08 1797.76i 0.273598 0.131758i −0.292054 0.956402i \(-0.594339\pi\)
0.565652 + 0.824644i \(0.308624\pi\)
\(572\) 2656.71 + 3331.41i 0.194200 + 0.243520i
\(573\) −1150.81 5042.02i −0.0839018 0.367598i
\(574\) −439.765 + 11834.5i −0.0319781 + 0.860565i
\(575\) −2379.42 + 10424.9i −0.172571 + 0.756084i
\(576\) 3691.81 1777.88i 0.267058 0.128608i
\(577\) −1160.43 + 5084.17i −0.0837249 + 0.366823i −0.999383 0.0351362i \(-0.988813\pi\)
0.915658 + 0.401959i \(0.131671\pi\)
\(578\) 2338.77 + 2932.72i 0.168304 + 0.211047i
\(579\) −426.429 1868.31i −0.0306076 0.134100i
\(580\) −2599.83 + 3260.08i −0.186124 + 0.233392i
\(581\) −862.095 + 1632.18i −0.0615589 + 0.116548i
\(582\) −3265.14 4094.36i −0.232551 0.291609i
\(583\) −9311.15 + 11675.8i −0.661455 + 0.829439i
\(584\) 15247.8 + 7342.94i 1.08041 + 0.520296i
\(585\) −1569.60 + 1968.22i −0.110932 + 0.139104i
\(586\) 2403.73 10531.4i 0.169449 0.742404i
\(587\) −22418.6 −1.57635 −0.788173 0.615453i \(-0.788973\pi\)
−0.788173 + 0.615453i \(0.788973\pi\)
\(588\) −3539.94 5186.40i −0.248273 0.363747i
\(589\) −3499.23 −0.244793
\(590\) −1005.15 + 4403.85i −0.0701380 + 0.307295i
\(591\) −8427.83 + 10568.2i −0.586590 + 0.735560i
\(592\) 468.732 + 225.730i 0.0325419 + 0.0156713i
\(593\) 3503.91 4393.77i 0.242645 0.304267i −0.645565 0.763706i \(-0.723378\pi\)
0.888210 + 0.459438i \(0.151949\pi\)
\(594\) 5495.45 + 6891.07i 0.379597 + 0.476000i
\(595\) 9398.53 6940.17i 0.647567 0.478184i
\(596\) 5256.69 6591.68i 0.361279 0.453030i
\(597\) 3883.58 + 17015.1i 0.266239 + 1.16647i
\(598\) 3941.55 + 4942.55i 0.269535 + 0.337986i
\(599\) −1186.01 + 5196.24i −0.0808998 + 0.354445i −0.999135 0.0415910i \(-0.986757\pi\)
0.918235 + 0.396036i \(0.129615\pi\)
\(600\) 4995.95 2405.92i 0.339931 0.163702i
\(601\) −3406.92 + 14926.7i −0.231233 + 1.01310i 0.717385 + 0.696677i \(0.245339\pi\)
−0.948619 + 0.316422i \(0.897518\pi\)
\(602\) −15035.2 4024.52i −1.01792 0.272470i
\(603\) 155.428 + 680.976i 0.0104967 + 0.0459892i
\(604\) 7137.64 + 8950.32i 0.480838 + 0.602952i
\(605\) −721.901 + 347.649i −0.0485115 + 0.0233619i
\(606\) −3623.77 −0.242914
\(607\) 5801.52 0.387935 0.193967 0.981008i \(-0.437864\pi\)
0.193967 + 0.981008i \(0.437864\pi\)
\(608\) −9465.63 + 4558.41i −0.631385 + 0.304059i
\(609\) 5868.29 4333.33i 0.390468 0.288334i
\(610\) −6920.65 3332.81i −0.459359 0.221216i
\(611\) −1412.00 679.985i −0.0934918 0.0450233i
\(612\) 1343.39 + 5885.77i 0.0887308 + 0.388755i
\(613\) 5559.45 + 24357.6i 0.366304 + 1.60488i 0.736842 + 0.676065i \(0.236316\pi\)
−0.370539 + 0.928817i \(0.620827\pi\)
\(614\) −8402.51 4046.44i −0.552276 0.265962i
\(615\) 9086.37 + 4375.76i 0.595769 + 0.286907i
\(616\) −537.244 + 14457.8i −0.0351399 + 0.945651i
\(617\) 19131.0 9212.99i 1.24827 0.601136i 0.311224 0.950337i \(-0.399261\pi\)
0.937048 + 0.349201i \(0.113547\pi\)
\(618\) 11404.2 0.742301
\(619\) −22366.5 −1.45232 −0.726159 0.687527i \(-0.758696\pi\)
−0.726159 + 0.687527i \(0.758696\pi\)
\(620\) 2092.33 1007.61i 0.135532 0.0652688i
\(621\) −14261.4 17883.2i −0.921562 1.15560i
\(622\) −884.095 3873.47i −0.0569919 0.249698i
\(623\) 9836.25 18622.7i 0.632554 1.19760i
\(624\) −50.3469 + 220.584i −0.00322995 + 0.0141514i
\(625\) 2006.79 966.420i 0.128435 0.0618509i
\(626\) 3121.48 13676.1i 0.199296 0.873173i
\(627\) −4500.84 5643.88i −0.286677 0.359481i
\(628\) 3658.73 + 16030.0i 0.232483 + 1.01857i
\(629\) 10405.3 13047.9i 0.659599 0.827111i
\(630\) −3265.64 + 618.763i −0.206518 + 0.0391303i
\(631\) −7399.52 9278.71i −0.466831 0.585387i 0.491561 0.870843i \(-0.336426\pi\)
−0.958392 + 0.285456i \(0.907855\pi\)
\(632\) 7148.86 8964.38i 0.449947 0.564215i
\(633\) 7086.48 + 3412.67i 0.444964 + 0.214283i
\(634\) −1404.52 + 1761.21i −0.0879818 + 0.110326i
\(635\) −3814.53 + 16712.5i −0.238386 + 1.04444i
\(636\) −7814.88 −0.487233
\(637\) 8184.97 + 609.139i 0.509106 + 0.0378885i
\(638\) −6535.59 −0.405559
\(639\) 141.539 620.121i 0.00876241 0.0383906i
\(640\) 4514.59 5661.12i 0.278836 0.349649i
\(641\) −17375.6 8367.64i −1.07066 0.515604i −0.186342 0.982485i \(-0.559663\pi\)
−0.884320 + 0.466881i \(0.845378\pi\)
\(642\) 1299.42 1629.42i 0.0798817 0.100168i
\(643\) −8516.36 10679.2i −0.522321 0.654970i 0.448779 0.893643i \(-0.351859\pi\)
−0.971100 + 0.238673i \(0.923288\pi\)
\(644\) 542.139 14589.5i 0.0331728 0.892715i
\(645\) −8264.07 + 10362.8i −0.504492 + 0.632613i
\(646\) 1836.56 + 8046.50i 0.111855 + 0.490070i
\(647\) 1440.08 + 1805.80i 0.0875043 + 0.109727i 0.823656 0.567089i \(-0.191931\pi\)
−0.736152 + 0.676816i \(0.763359\pi\)
\(648\) −752.608 + 3297.39i −0.0456254 + 0.199898i
\(649\) 11157.7 5373.27i 0.674851 0.324991i
\(650\) −627.139 + 2747.67i −0.0378437 + 0.165804i
\(651\) −3991.72 + 756.339i −0.240319 + 0.0455350i
\(652\) −3642.48 15958.7i −0.218789 0.958578i
\(653\) 1331.39 + 1669.51i 0.0797877 + 0.100051i 0.820123 0.572187i \(-0.193905\pi\)
−0.740336 + 0.672238i \(0.765333\pi\)
\(654\) 104.031 50.0988i 0.00622009 0.00299544i
\(655\) −3039.14 −0.181296
\(656\) −985.472 −0.0586528
\(657\) 9603.67 4624.88i 0.570281 0.274633i
\(658\) −827.928 1896.30i −0.0490516 0.112349i
\(659\) 8238.72 + 3967.56i 0.487003 + 0.234528i 0.661239 0.750176i \(-0.270031\pi\)
−0.174235 + 0.984704i \(0.555745\pi\)
\(660\) 4316.40 + 2078.67i 0.254569 + 0.122594i
\(661\) −4609.84 20197.0i −0.271258 1.18846i −0.908529 0.417821i \(-0.862794\pi\)
0.637271 0.770640i \(-0.280063\pi\)
\(662\) 550.041 + 2409.89i 0.0322930 + 0.141485i
\(663\) 6539.18 + 3149.10i 0.383048 + 0.184466i
\(664\) 2005.15 + 965.630i 0.117191 + 0.0564363i
\(665\) 7809.22 1479.67i 0.455381 0.0862843i
\(666\) −4277.60 + 2059.98i −0.248879 + 0.119854i
\(667\) 16960.7 0.984589
\(668\) −12740.1 −0.737916
\(669\) 493.777 237.791i 0.0285359 0.0137422i
\(670\) −395.129 495.477i −0.0227839 0.0285700i
\(671\) 4686.12 + 20531.2i 0.269606 + 1.18122i
\(672\) −9812.56 + 7245.91i −0.563285 + 0.415948i
\(673\) −1100.67 + 4822.36i −0.0630428 + 0.276209i −0.996618 0.0821727i \(-0.973814\pi\)
0.933575 + 0.358381i \(0.116671\pi\)
\(674\) 17699.2 8523.47i 1.01149 0.487110i
\(675\) 2269.12 9941.68i 0.129391 0.566897i
\(676\) 5155.21 + 6464.43i 0.293310 + 0.367799i
\(677\) −1818.74 7968.44i −0.103250 0.452366i −0.999953 0.00973342i \(-0.996902\pi\)
0.896703 0.442633i \(-0.145955\pi\)
\(678\) −4935.96 + 6189.50i −0.279594 + 0.350599i
\(679\) −11984.8 10308.3i −0.677368 0.582619i
\(680\) −8782.75 11013.2i −0.495298 0.621085i
\(681\) 9579.38 12012.2i 0.539035 0.675928i
\(682\) 3279.43 + 1579.29i 0.184129 + 0.0886718i
\(683\) 5649.10 7083.75i 0.316482 0.396855i −0.597991 0.801503i \(-0.704034\pi\)
0.914473 + 0.404647i \(0.132606\pi\)
\(684\) −913.913 + 4004.11i −0.0510882 + 0.223832i
\(685\) 42.0485 0.00234539
\(686\) 7668.40 + 7656.55i 0.426794 + 0.426135i
\(687\) −257.752 −0.0143142
\(688\) 288.203 1262.70i 0.0159704 0.0699710i
\(689\) 6368.77 7986.18i 0.352149 0.441581i
\(690\) 6403.90 + 3083.95i 0.353322 + 0.170151i
\(691\) 12310.1 15436.4i 0.677710 0.849822i −0.317431 0.948282i \(-0.602820\pi\)
0.995141 + 0.0984594i \(0.0313915\pi\)
\(692\) −8795.51 11029.2i −0.483172 0.605879i
\(693\) 6908.46 + 5942.12i 0.378688 + 0.325718i
\(694\) −1325.35 + 1661.94i −0.0724922 + 0.0909024i
\(695\) 3686.99 + 16153.7i 0.201231 + 0.881649i
\(696\) −5483.80 6876.47i −0.298654 0.374500i
\(697\) −7034.39 + 30819.7i −0.382276 + 1.67486i
\(698\) 1547.48 745.226i 0.0839153 0.0404115i
\(699\) 793.589 3476.94i 0.0429418 0.188140i
\(700\) 5235.91 3866.36i 0.282713 0.208764i
\(701\) −998.977 4376.80i −0.0538243 0.235820i 0.940859 0.338797i \(-0.110020\pi\)
−0.994684 + 0.102978i \(0.967163\pi\)
\(702\) −3758.85 4713.45i −0.202092 0.253415i
\(703\) 10229.1 4926.10i 0.548790 0.264283i
\(704\) 10192.6 0.545665
\(705\) −1762.07 −0.0941324
\(706\) 13994.3 6739.30i 0.746009 0.359259i
\(707\) −10747.5 + 2036.41i −0.571715 + 0.108327i
\(708\) 5838.79 + 2811.82i 0.309937 + 0.149258i
\(709\) 10592.9 + 5101.26i 0.561106 + 0.270214i 0.692865 0.721067i \(-0.256348\pi\)
−0.131759 + 0.991282i \(0.542063\pi\)
\(710\) 128.418 + 562.636i 0.00678794 + 0.0297399i
\(711\) −1606.97 7040.61i −0.0847626 0.371369i
\(712\) −22878.2 11017.6i −1.20421 0.579916i
\(713\) −8510.54 4098.46i −0.447016 0.215272i
\(714\) 3834.25 + 8782.02i 0.200971 + 0.460306i
\(715\) −5641.90 + 2717.00i −0.295098 + 0.142112i
\(716\) 4300.79 0.224481
\(717\) 26378.8 1.37397
\(718\) −19354.8 + 9320.79i −1.00601 + 0.484469i
\(719\) 5583.70 + 7001.74i 0.289620 + 0.363172i 0.905262 0.424854i \(-0.139675\pi\)
−0.615642 + 0.788026i \(0.711103\pi\)
\(720\) −61.5448 269.645i −0.00318561 0.0139571i
\(721\) 33822.9 6408.66i 1.74706 0.331028i
\(722\) 1354.18 5933.06i 0.0698026 0.305825i
\(723\) −20270.1 + 9761.58i −1.04268 + 0.502126i
\(724\) 47.2593 207.057i 0.00242594 0.0106287i
\(725\) 4714.42 + 5911.69i 0.241502 + 0.302834i
\(726\) −146.237 640.704i −0.00747569 0.0327531i
\(727\) −10087.4 + 12649.1i −0.514607 + 0.645297i −0.969454 0.245273i \(-0.921122\pi\)
0.454847 + 0.890570i \(0.349694\pi\)
\(728\) 367.471 9889.04i 0.0187079 0.503451i
\(729\) 10270.5 + 12878.8i 0.521795 + 0.654311i
\(730\) −6029.86 + 7561.21i −0.305719 + 0.383360i
\(731\) −37432.5 18026.6i −1.89397 0.912088i
\(732\) −6870.99 + 8615.95i −0.346939 + 0.435048i
\(733\) 1978.64 8669.00i 0.0997038 0.436831i −0.900295 0.435280i \(-0.856649\pi\)
0.999999 0.00155059i \(-0.000493567\pi\)
\(734\) −11792.2 −0.592997
\(735\) 8588.48 3375.84i 0.431008 0.169414i
\(736\) −28360.5 −1.42036
\(737\) −386.621 + 1693.90i −0.0193235 + 0.0846616i
\(738\) 5607.23 7031.24i 0.279681 0.350709i
\(739\) −7038.32 3389.48i −0.350350 0.168720i 0.250429 0.968135i \(-0.419428\pi\)
−0.600779 + 0.799415i \(0.705143\pi\)
\(740\) −4697.92 + 5891.01i −0.233377 + 0.292646i
\(741\) 3078.55 + 3860.38i 0.152623 + 0.191383i
\(742\) 13250.6 2510.68i 0.655584 0.124218i
\(743\) 9638.85 12086.7i 0.475929 0.596796i −0.484683 0.874690i \(-0.661065\pi\)
0.960612 + 0.277894i \(0.0896364\pi\)
\(744\) 1090.00 + 4775.61i 0.0537115 + 0.235326i
\(745\) 7725.26 + 9687.17i 0.379908 + 0.476390i
\(746\) −1521.83 + 6667.59i −0.0746895 + 0.327236i
\(747\) 1262.93 608.193i 0.0618581 0.0297893i
\(748\) −3341.62 + 14640.6i −0.163345 + 0.715660i
\(749\) 2938.21 5562.83i 0.143338 0.271377i
\(750\) 1981.68 + 8682.31i 0.0964810 + 0.422711i
\(751\) 10374.1 + 13008.8i 0.504071 + 0.632086i 0.967142 0.254236i \(-0.0818239\pi\)
−0.463071 + 0.886321i \(0.653252\pi\)
\(752\) 155.130 74.7067i 0.00752262 0.00362270i
\(753\) −8638.51 −0.418067
\(754\) 4470.30 0.215913
\(755\) −15157.8 + 7299.61i −0.730660 + 0.351867i
\(756\) −517.009 + 13913.3i −0.0248723 + 0.669340i
\(757\) −12367.4 5955.82i −0.593792 0.285955i 0.112753 0.993623i \(-0.464033\pi\)
−0.706545 + 0.707668i \(0.749747\pi\)
\(758\) 8558.36 + 4121.49i 0.410097 + 0.197492i
\(759\) −4336.21 18998.2i −0.207371 0.908551i
\(760\) −2132.43 9342.79i −0.101778 0.445919i
\(761\) 11408.1 + 5493.86i 0.543421 + 0.261698i 0.685394 0.728173i \(-0.259630\pi\)
−0.141972 + 0.989871i \(0.545344\pi\)
\(762\) −12667.7 6100.43i −0.602233 0.290020i
\(763\) 280.387 207.046i 0.0133036 0.00982382i
\(764\) −6594.27 + 3175.63i −0.312268 + 0.150380i
\(765\) −8872.20 −0.419314
\(766\) −15021.6 −0.708552
\(767\) −7631.80 + 3675.28i −0.359281 + 0.173020i
\(768\) 8929.59 + 11197.3i 0.419556 + 0.526106i
\(769\) −2663.13 11667.9i −0.124883 0.547147i −0.998199 0.0599928i \(-0.980892\pi\)
0.873316 0.487154i \(-0.161965\pi\)
\(770\) −7986.51