Properties

Label 49.4.e.a.8.4
Level $49$
Weight $4$
Character 49.8
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 8.4
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.61233 - 2.02180i) q^{2} +(-3.25484 + 1.56745i) q^{3} +(0.292112 - 1.27982i) q^{4} +(-3.53374 + 1.70176i) q^{5} +(8.41693 + 4.05338i) q^{6} +(-10.4442 + 15.2944i) q^{7} +(-21.6976 + 10.4490i) q^{8} +(-8.69714 + 10.9059i) q^{9} +O(q^{10})\) \(q+(-1.61233 - 2.02180i) q^{2} +(-3.25484 + 1.56745i) q^{3} +(0.292112 - 1.27982i) q^{4} +(-3.53374 + 1.70176i) q^{5} +(8.41693 + 4.05338i) q^{6} +(-10.4442 + 15.2944i) q^{7} +(-21.6976 + 10.4490i) q^{8} +(-8.69714 + 10.9059i) q^{9} +(9.13817 + 4.40071i) q^{10} +(32.0120 + 40.1418i) q^{11} +(1.05528 + 4.62349i) q^{12} +(-49.9374 - 62.6195i) q^{13} +(47.7616 - 3.54344i) q^{14} +(8.83435 - 11.0779i) q^{15} +(46.6475 + 22.4643i) q^{16} +(-2.87731 - 12.6063i) q^{17} +36.0721 q^{18} -124.338 q^{19} +(1.14571 + 5.01967i) q^{20} +(10.0212 - 66.1515i) q^{21} +(29.5446 - 129.444i) q^{22} +(38.3461 - 168.005i) q^{23} +(54.2439 - 68.0197i) q^{24} +(-68.3449 + 85.7018i) q^{25} +(-46.0884 + 201.926i) q^{26} +(32.9181 - 144.224i) q^{27} +(16.5232 + 17.8345i) q^{28} +(33.7103 + 147.695i) q^{29} -36.6412 q^{30} +122.844 q^{31} +(13.0779 + 57.2981i) q^{32} +(-167.114 - 80.4779i) q^{33} +(-20.8482 + 26.1428i) q^{34} +(10.8799 - 71.8200i) q^{35} +(11.4171 + 14.3165i) q^{36} +(22.3426 + 97.8895i) q^{37} +(200.474 + 251.387i) q^{38} +(260.691 + 125.542i) q^{39} +(58.8920 - 73.8482i) q^{40} +(-270.080 + 130.064i) q^{41} +(-149.902 + 86.3972i) q^{42} +(-325.158 - 156.588i) q^{43} +(60.7255 - 29.2439i) q^{44} +(12.1743 - 53.3390i) q^{45} +(-401.499 + 193.352i) q^{46} +(204.920 + 256.961i) q^{47} -187.042 q^{48} +(-124.836 - 319.476i) q^{49} +283.466 q^{50} +(29.1249 + 36.5215i) q^{51} +(-94.7293 + 45.6192i) q^{52} +(-47.5641 + 208.392i) q^{53} +(-344.666 + 165.982i) q^{54} +(-181.434 - 87.3740i) q^{55} +(66.8037 - 440.983i) q^{56} +(404.702 - 194.894i) q^{57} +(244.256 - 306.288i) q^{58} +(395.426 + 190.427i) q^{59} +(-11.5972 - 14.5424i) q^{60} +(-44.8682 - 196.580i) q^{61} +(-198.065 - 248.366i) q^{62} +(-75.9634 - 246.921i) q^{63} +(353.008 - 442.658i) q^{64} +(283.029 + 136.300i) q^{65} +(106.733 + 467.628i) q^{66} +177.725 q^{67} -16.9744 q^{68} +(138.529 + 606.936i) q^{69} +(-162.747 + 93.8005i) q^{70} +(-36.0761 + 158.060i) q^{71} +(74.7514 - 327.507i) q^{72} +(-124.466 + 156.075i) q^{73} +(161.889 - 203.002i) q^{74} +(88.1185 - 386.073i) q^{75} +(-36.3207 + 159.131i) q^{76} +(-948.285 + 70.3533i) q^{77} +(-166.499 - 729.479i) q^{78} +676.194 q^{79} -203.069 q^{80} +(35.1128 + 153.839i) q^{81} +(698.421 + 336.342i) q^{82} +(76.3279 - 95.7121i) q^{83} +(-81.7351 - 32.1490i) q^{84} +(31.6206 + 39.6510i) q^{85} +(207.673 + 909.875i) q^{86} +(-341.225 - 427.883i) q^{87} +(-1114.02 - 536.486i) q^{88} +(-149.640 + 187.642i) q^{89} +(-127.469 + 61.3860i) q^{90} +(1479.28 - 109.748i) q^{91} +(-203.816 - 98.1526i) q^{92} +(-399.839 + 192.552i) q^{93} +(189.125 - 828.612i) q^{94} +(439.380 - 211.594i) q^{95} +(-132.378 - 165.997i) q^{96} -559.285 q^{97} +(-444.639 + 767.493i) q^{98} -716.194 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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.61233 2.02180i −0.570044 0.714813i 0.410335 0.911935i \(-0.365412\pi\)
−0.980379 + 0.197122i \(0.936840\pi\)
\(3\) −3.25484 + 1.56745i −0.626394 + 0.301656i −0.720021 0.693952i \(-0.755868\pi\)
0.0936273 + 0.995607i \(0.470154\pi\)
\(4\) 0.292112 1.27982i 0.0365139 0.159978i
\(5\) −3.53374 + 1.70176i −0.316068 + 0.152210i −0.585191 0.810896i \(-0.698980\pi\)
0.269123 + 0.963106i \(0.413266\pi\)
\(6\) 8.41693 + 4.05338i 0.572700 + 0.275798i
\(7\) −10.4442 + 15.2944i −0.563936 + 0.825819i
\(8\) −21.6976 + 10.4490i −0.958907 + 0.461785i
\(9\) −8.69714 + 10.9059i −0.322116 + 0.403921i
\(10\) 9.13817 + 4.40071i 0.288974 + 0.139163i
\(11\) 32.0120 + 40.1418i 0.877453 + 1.10029i 0.994244 + 0.107135i \(0.0341677\pi\)
−0.116791 + 0.993156i \(0.537261\pi\)
\(12\) 1.05528 + 4.62349i 0.0253861 + 0.111224i
\(13\) −49.9374 62.6195i −1.06540 1.33596i −0.938974 0.343987i \(-0.888222\pi\)
−0.126421 0.991977i \(-0.540349\pi\)
\(14\) 47.7616 3.54344i 0.911774 0.0676446i
\(15\) 8.83435 11.0779i 0.152068 0.190687i
\(16\) 46.6475 + 22.4643i 0.728867 + 0.351004i
\(17\) −2.87731 12.6063i −0.0410500 0.179852i 0.950247 0.311498i \(-0.100831\pi\)
−0.991297 + 0.131646i \(0.957974\pi\)
\(18\) 36.0721 0.472348
\(19\) −124.338 −1.50133 −0.750663 0.660685i \(-0.770266\pi\)
−0.750663 + 0.660685i \(0.770266\pi\)
\(20\) 1.14571 + 5.01967i 0.0128094 + 0.0561217i
\(21\) 10.0212 66.1515i 0.104133 0.687402i
\(22\) 29.5446 129.444i 0.286315 1.25443i
\(23\) 38.3461 168.005i 0.347640 1.52311i −0.434882 0.900487i \(-0.643210\pi\)
0.782522 0.622623i \(-0.213933\pi\)
\(24\) 54.2439 68.0197i 0.461354 0.578519i
\(25\) −68.3449 + 85.7018i −0.546759 + 0.685614i
\(26\) −46.0884 + 201.926i −0.347641 + 1.52312i
\(27\) 32.9181 144.224i 0.234633 1.02800i
\(28\) 16.5232 + 17.8345i 0.111521 + 0.120371i
\(29\) 33.7103 + 147.695i 0.215857 + 0.945731i 0.960503 + 0.278271i \(0.0897613\pi\)
−0.744646 + 0.667460i \(0.767382\pi\)
\(30\) −36.6412 −0.222991
\(31\) 122.844 0.711726 0.355863 0.934538i \(-0.384187\pi\)
0.355863 + 0.934538i \(0.384187\pi\)
\(32\) 13.0779 + 57.2981i 0.0722460 + 0.316530i
\(33\) −167.114 80.4779i −0.881541 0.424528i
\(34\) −20.8482 + 26.1428i −0.105160 + 0.131867i
\(35\) 10.8799 71.8200i 0.0525439 0.346851i
\(36\) 11.4171 + 14.3165i 0.0528567 + 0.0662803i
\(37\) 22.3426 + 97.8895i 0.0992731 + 0.434944i 1.00000 0.000557817i \(0.000177559\pi\)
−0.900727 + 0.434386i \(0.856965\pi\)
\(38\) 200.474 + 251.387i 0.855822 + 1.07317i
\(39\) 260.691 + 125.542i 1.07036 + 0.515457i
\(40\) 58.8920 73.8482i 0.232791 0.291911i
\(41\) −270.080 + 130.064i −1.02877 + 0.495428i −0.870604 0.491985i \(-0.836272\pi\)
−0.158164 + 0.987413i \(0.550557\pi\)
\(42\) −149.902 + 86.3972i −0.550725 + 0.317414i
\(43\) −325.158 156.588i −1.15317 0.555336i −0.243183 0.969980i \(-0.578192\pi\)
−0.909984 + 0.414644i \(0.863906\pi\)
\(44\) 60.7255 29.2439i 0.208062 0.100197i
\(45\) 12.1743 53.3390i 0.0403296 0.176696i
\(46\) −401.499 + 193.352i −1.28691 + 0.619743i
\(47\) 204.920 + 256.961i 0.635971 + 0.797482i 0.990493 0.137566i \(-0.0439278\pi\)
−0.354522 + 0.935048i \(0.615356\pi\)
\(48\) −187.042 −0.562441
\(49\) −124.836 319.476i −0.363953 0.931417i
\(50\) 283.466 0.801763
\(51\) 29.1249 + 36.5215i 0.0799668 + 0.100275i
\(52\) −94.7293 + 45.6192i −0.252627 + 0.121659i
\(53\) −47.5641 + 208.392i −0.123272 + 0.540092i 0.875145 + 0.483860i \(0.160766\pi\)
−0.998418 + 0.0562315i \(0.982092\pi\)
\(54\) −344.666 + 165.982i −0.868576 + 0.418284i
\(55\) −181.434 87.3740i −0.444810 0.214209i
\(56\) 66.8037 440.983i 0.159411 1.05230i
\(57\) 404.702 194.894i 0.940422 0.452883i
\(58\) 244.256 306.288i 0.552973 0.693406i
\(59\) 395.426 + 190.427i 0.872543 + 0.420195i 0.815895 0.578199i \(-0.196244\pi\)
0.0566480 + 0.998394i \(0.481959\pi\)
\(60\) −11.5972 14.5424i −0.0249531 0.0312903i
\(61\) −44.8682 196.580i −0.0941768 0.412616i 0.905761 0.423789i \(-0.139300\pi\)
−0.999938 + 0.0111738i \(0.996443\pi\)
\(62\) −198.065 248.366i −0.405715 0.508751i
\(63\) −75.9634 246.921i −0.151913 0.493795i
\(64\) 353.008 442.658i 0.689468 0.864566i
\(65\) 283.029 + 136.300i 0.540084 + 0.260091i
\(66\) 106.733 + 467.628i 0.199059 + 0.872136i
\(67\) 177.725 0.324068 0.162034 0.986785i \(-0.448195\pi\)
0.162034 + 0.986785i \(0.448195\pi\)
\(68\) −16.9744 −0.0302712
\(69\) 138.529 + 606.936i 0.241695 + 1.05893i
\(70\) −162.747 + 93.8005i −0.277886 + 0.160162i
\(71\) −36.0761 + 158.060i −0.0603020 + 0.264200i −0.996088 0.0883687i \(-0.971835\pi\)
0.935786 + 0.352569i \(0.114692\pi\)
\(72\) 74.7514 327.507i 0.122355 0.536071i
\(73\) −124.466 + 156.075i −0.199556 + 0.250236i −0.871533 0.490336i \(-0.836874\pi\)
0.671977 + 0.740572i \(0.265445\pi\)
\(74\) 161.889 203.002i 0.254314 0.318899i
\(75\) 88.1185 386.073i 0.135667 0.594398i
\(76\) −36.3207 + 159.131i −0.0548193 + 0.240179i
\(77\) −948.285 + 70.3533i −1.40347 + 0.104123i
\(78\) −166.499 729.479i −0.241696 1.05894i
\(79\) 676.194 0.963010 0.481505 0.876443i \(-0.340090\pi\)
0.481505 + 0.876443i \(0.340090\pi\)
\(80\) −203.069 −0.283798
\(81\) 35.1128 + 153.839i 0.0481657 + 0.211028i
\(82\) 698.421 + 336.342i 0.940582 + 0.452960i
\(83\) 76.3279 95.7121i 0.100941 0.126576i −0.728795 0.684731i \(-0.759919\pi\)
0.829736 + 0.558156i \(0.188491\pi\)
\(84\) −81.7351 32.1490i −0.106167 0.0417588i
\(85\) 31.6206 + 39.6510i 0.0403498 + 0.0505971i
\(86\) 207.673 + 909.875i 0.260395 + 1.14086i
\(87\) −341.225 427.883i −0.420496 0.527286i
\(88\) −1114.02 536.486i −1.34949 0.649882i
\(89\) −149.640 + 187.642i −0.178222 + 0.223484i −0.862916 0.505347i \(-0.831365\pi\)
0.684694 + 0.728831i \(0.259936\pi\)
\(90\) −127.469 + 61.3860i −0.149294 + 0.0718962i
\(91\) 1479.28 109.748i 1.70408 0.126426i
\(92\) −203.816 98.1526i −0.230970 0.111230i
\(93\) −399.839 + 192.552i −0.445821 + 0.214696i
\(94\) 189.125 828.612i 0.207519 0.909200i
\(95\) 439.380 211.594i 0.474520 0.228517i
\(96\) −132.378 165.997i −0.140738 0.176479i
\(97\) −559.285 −0.585431 −0.292716 0.956200i \(-0.594559\pi\)
−0.292716 + 0.956200i \(0.594559\pi\)
\(98\) −444.639 + 767.493i −0.458320 + 0.791107i
\(99\) −716.194 −0.727072
\(100\) 89.7189 + 112.504i 0.0897189 + 0.112504i
\(101\) −1102.51 + 530.943i −1.08618 + 0.523077i −0.889288 0.457348i \(-0.848799\pi\)
−0.196893 + 0.980425i \(0.563085\pi\)
\(102\) 26.8801 117.769i 0.0260934 0.114323i
\(103\) −859.243 + 413.789i −0.821978 + 0.395844i −0.797100 0.603847i \(-0.793634\pi\)
−0.0248773 + 0.999691i \(0.507920\pi\)
\(104\) 1737.83 + 836.896i 1.63854 + 0.789081i
\(105\) 77.1618 + 250.816i 0.0717164 + 0.233116i
\(106\) 498.015 239.831i 0.456335 0.219759i
\(107\) 329.855 413.626i 0.298022 0.373707i −0.610164 0.792275i \(-0.708896\pi\)
0.908186 + 0.418568i \(0.137468\pi\)
\(108\) −174.965 84.2589i −0.155889 0.0750724i
\(109\) 531.929 + 667.018i 0.467427 + 0.586136i 0.958539 0.284961i \(-0.0919807\pi\)
−0.491112 + 0.871097i \(0.663409\pi\)
\(110\) 115.879 + 507.698i 0.100442 + 0.440065i
\(111\) −226.158 283.594i −0.193387 0.242500i
\(112\) −830.774 + 478.822i −0.700900 + 0.403968i
\(113\) −295.367 + 370.378i −0.245892 + 0.308338i −0.889426 0.457079i \(-0.848896\pi\)
0.643535 + 0.765417i \(0.277467\pi\)
\(114\) −1046.55 503.991i −0.859809 0.414062i
\(115\) 150.400 + 658.944i 0.121955 + 0.534320i
\(116\) 198.870 0.159178
\(117\) 1117.23 0.882805
\(118\) −252.552 1106.50i −0.197028 0.863235i
\(119\) 222.857 + 87.6567i 0.171674 + 0.0675250i
\(120\) −75.9307 + 332.674i −0.0577624 + 0.253074i
\(121\) −290.419 + 1272.41i −0.218196 + 0.955980i
\(122\) −325.103 + 407.667i −0.241258 + 0.302528i
\(123\) 675.200 846.674i 0.494965 0.620667i
\(124\) 35.8842 157.219i 0.0259879 0.113860i
\(125\) 204.765 897.132i 0.146518 0.641936i
\(126\) −376.745 + 551.700i −0.266374 + 0.390074i
\(127\) 613.170 + 2686.47i 0.428425 + 1.87705i 0.478130 + 0.878289i \(0.341315\pi\)
−0.0497044 + 0.998764i \(0.515828\pi\)
\(128\) −993.955 −0.686360
\(129\) 1303.78 0.889857
\(130\) −180.766 791.988i −0.121956 0.534322i
\(131\) −1488.61 716.877i −0.992828 0.478121i −0.134329 0.990937i \(-0.542888\pi\)
−0.858499 + 0.512816i \(0.828602\pi\)
\(132\) −151.814 + 190.368i −0.100104 + 0.125526i
\(133\) 1298.62 1901.68i 0.846651 1.23982i
\(134\) −286.551 359.324i −0.184733 0.231648i
\(135\) 129.110 + 565.669i 0.0823114 + 0.360630i
\(136\) 194.154 + 243.461i 0.122416 + 0.153505i
\(137\) 365.742 + 176.132i 0.228084 + 0.109839i 0.544436 0.838803i \(-0.316744\pi\)
−0.316352 + 0.948642i \(0.602458\pi\)
\(138\) 1003.75 1258.66i 0.619163 0.776406i
\(139\) 1294.75 623.517i 0.790065 0.380475i 0.00507743 0.999987i \(-0.498384\pi\)
0.784987 + 0.619512i \(0.212670\pi\)
\(140\) −88.7388 34.9038i −0.0535700 0.0210708i
\(141\) −1069.75 515.167i −0.638933 0.307694i
\(142\) 377.731 181.905i 0.223229 0.107501i
\(143\) 915.063 4009.15i 0.535115 2.34449i
\(144\) −650.692 + 313.357i −0.376558 + 0.181341i
\(145\) −370.464 464.548i −0.212175 0.266059i
\(146\) 516.231 0.292627
\(147\) 907.083 + 844.170i 0.508945 + 0.473646i
\(148\) 131.808 0.0732064
\(149\) −2154.42 2701.56i −1.18455 1.48537i −0.836562 0.547873i \(-0.815438\pi\)
−0.347984 0.937501i \(-0.613134\pi\)
\(150\) −922.636 + 444.318i −0.502219 + 0.241856i
\(151\) −169.221 + 741.407i −0.0911989 + 0.399569i −0.999838 0.0180144i \(-0.994266\pi\)
0.908639 + 0.417583i \(0.137123\pi\)
\(152\) 2697.84 1299.21i 1.43963 0.693290i
\(153\) 162.507 + 78.2593i 0.0858687 + 0.0413522i
\(154\) 1671.19 + 1803.81i 0.874468 + 0.943862i
\(155\) −434.100 + 209.052i −0.224953 + 0.108332i
\(156\) 236.823 296.966i 0.121545 0.152412i
\(157\) −2532.13 1219.41i −1.28717 0.619869i −0.339949 0.940444i \(-0.610410\pi\)
−0.947223 + 0.320574i \(0.896124\pi\)
\(158\) −1090.25 1367.13i −0.548958 0.688372i
\(159\) −171.830 752.837i −0.0857045 0.375496i
\(160\) −143.722 180.221i −0.0710137 0.0890484i
\(161\) 2169.04 + 2341.17i 1.06177 + 1.14602i
\(162\) 254.418 319.031i 0.123389 0.154725i
\(163\) −3114.40 1499.82i −1.49656 0.720704i −0.506614 0.862173i \(-0.669103\pi\)
−0.989943 + 0.141470i \(0.954817\pi\)
\(164\) 87.5653 + 383.649i 0.0416933 + 0.182670i
\(165\) 727.493 0.343244
\(166\) −316.576 −0.148018
\(167\) 690.454 + 3025.08i 0.319934 + 1.40172i 0.837668 + 0.546180i \(0.183918\pi\)
−0.517734 + 0.855542i \(0.673224\pi\)
\(168\) 473.782 + 1540.04i 0.217578 + 0.707242i
\(169\) −938.581 + 4112.19i −0.427210 + 1.87173i
\(170\) 29.1834 127.861i 0.0131663 0.0576852i
\(171\) 1081.39 1356.02i 0.483601 0.606417i
\(172\) −295.388 + 370.404i −0.130948 + 0.164204i
\(173\) −608.653 + 2666.68i −0.267486 + 1.17193i 0.645442 + 0.763810i \(0.276673\pi\)
−0.912927 + 0.408122i \(0.866184\pi\)
\(174\) −314.925 + 1379.78i −0.137209 + 0.601153i
\(175\) −596.945 1940.38i −0.257856 0.838166i
\(176\) 591.525 + 2591.64i 0.253340 + 1.10996i
\(177\) −1585.53 −0.673310
\(178\) 620.644 0.261344
\(179\) −403.208 1766.57i −0.168364 0.737652i −0.986652 0.162843i \(-0.947934\pi\)
0.818288 0.574809i \(-0.194924\pi\)
\(180\) −64.7083 31.1619i −0.0267948 0.0129037i
\(181\) 1486.10 1863.51i 0.610280 0.765267i −0.376660 0.926351i \(-0.622928\pi\)
0.986941 + 0.161084i \(0.0514990\pi\)
\(182\) −2606.98 2813.86i −1.06177 1.14603i
\(183\) 454.169 + 569.509i 0.183460 + 0.230051i
\(184\) 923.470 + 4045.99i 0.369995 + 1.62106i
\(185\) −245.538 307.894i −0.0975799 0.122361i
\(186\) 1033.97 + 497.935i 0.407605 + 0.196292i
\(187\) 413.932 519.054i 0.161870 0.202978i
\(188\) 388.725 187.200i 0.150801 0.0726221i
\(189\) 1862.01 + 2009.77i 0.716620 + 0.773488i
\(190\) −1136.23 547.177i −0.433844 0.208928i
\(191\) −471.358 + 226.994i −0.178567 + 0.0859934i −0.521032 0.853537i \(-0.674453\pi\)
0.342465 + 0.939531i \(0.388738\pi\)
\(192\) −455.141 + 1994.10i −0.171078 + 0.749541i
\(193\) −1157.21 + 557.284i −0.431596 + 0.207846i −0.637052 0.770821i \(-0.719846\pi\)
0.205456 + 0.978666i \(0.434132\pi\)
\(194\) 901.752 + 1130.76i 0.333722 + 0.418474i
\(195\) −1134.86 −0.416763
\(196\) −445.339 + 66.4452i −0.162296 + 0.0242147i
\(197\) −956.560 −0.345950 −0.172975 0.984926i \(-0.555338\pi\)
−0.172975 + 0.984926i \(0.555338\pi\)
\(198\) 1154.74 + 1448.00i 0.414463 + 0.519721i
\(199\) −2321.99 + 1118.21i −0.827145 + 0.398332i −0.799044 0.601273i \(-0.794660\pi\)
−0.0281012 + 0.999605i \(0.508946\pi\)
\(200\) 587.420 2573.66i 0.207684 0.909925i
\(201\) −578.467 + 278.575i −0.202994 + 0.0977570i
\(202\) 2851.07 + 1373.00i 0.993073 + 0.478239i
\(203\) −2610.97 1026.98i −0.902732 0.355073i
\(204\) 55.2488 26.6064i 0.0189617 0.00913148i
\(205\) 733.057 919.224i 0.249751 0.313178i
\(206\) 2221.98 + 1070.05i 0.751518 + 0.361912i
\(207\) 1498.74 + 1879.36i 0.503236 + 0.631037i
\(208\) −922.754 4042.85i −0.307603 1.34770i
\(209\) −3980.32 4991.17i −1.31734 1.65190i
\(210\) 382.689 560.404i 0.125753 0.184150i
\(211\) 1912.58 2398.30i 0.624016 0.782491i −0.364888 0.931052i \(-0.618893\pi\)
0.988903 + 0.148561i \(0.0474640\pi\)
\(212\) 252.811 + 121.747i 0.0819016 + 0.0394417i
\(213\) −130.328 571.006i −0.0419247 0.183684i
\(214\) −1368.10 −0.437016
\(215\) 1415.50 0.449006
\(216\) 792.751 + 3473.27i 0.249722 + 1.09410i
\(217\) −1283.02 + 1878.83i −0.401368 + 0.587756i
\(218\) 490.930 2150.91i 0.152523 0.668246i
\(219\) 160.476 703.093i 0.0495159 0.216943i
\(220\) −164.822 + 206.681i −0.0505105 + 0.0633382i
\(221\) −645.716 + 809.702i −0.196541 + 0.246455i
\(222\) −208.727 + 914.492i −0.0631028 + 0.276472i
\(223\) −87.8273 + 384.796i −0.0263738 + 0.115551i −0.986401 0.164354i \(-0.947446\pi\)
0.960028 + 0.279905i \(0.0903031\pi\)
\(224\) −1012.93 398.416i −0.302139 0.118841i
\(225\) −340.247 1490.72i −0.100814 0.441695i
\(226\) 1225.06 0.360573
\(227\) 418.716 0.122428 0.0612141 0.998125i \(-0.480503\pi\)
0.0612141 + 0.998125i \(0.480503\pi\)
\(228\) −131.212 574.878i −0.0381129 0.166983i
\(229\) −325.370 156.690i −0.0938910 0.0452155i 0.386349 0.922353i \(-0.373736\pi\)
−0.480240 + 0.877137i \(0.659450\pi\)
\(230\) 1089.76 1366.51i 0.312419 0.391761i
\(231\) 2976.24 1715.38i 0.847715 0.488586i
\(232\) −2274.69 2852.38i −0.643711 0.807188i
\(233\) −177.462 777.513i −0.0498967 0.218612i 0.943833 0.330424i \(-0.107192\pi\)
−0.993729 + 0.111812i \(0.964335\pi\)
\(234\) −1801.35 2258.82i −0.503238 0.631040i
\(235\) −1161.42 559.311i −0.322394 0.155257i
\(236\) 359.222 450.450i 0.0990819 0.124245i
\(237\) −2200.90 + 1059.90i −0.603224 + 0.290497i
\(238\) −182.095 591.903i −0.0495943 0.161207i
\(239\) 97.1186 + 46.7699i 0.0262849 + 0.0126581i 0.446980 0.894544i \(-0.352500\pi\)
−0.420695 + 0.907202i \(0.638214\pi\)
\(240\) 660.957 318.300i 0.177769 0.0856091i
\(241\) −13.0668 + 57.2496i −0.00349257 + 0.0153020i −0.976644 0.214863i \(-0.931069\pi\)
0.973152 + 0.230165i \(0.0739266\pi\)
\(242\) 3040.80 1464.37i 0.807728 0.388981i
\(243\) 2134.91 + 2677.09i 0.563599 + 0.706731i
\(244\) −264.695 −0.0694482
\(245\) 984.810 + 916.506i 0.256805 + 0.238994i
\(246\) −2800.45 −0.725813
\(247\) 6209.14 + 7786.01i 1.59951 + 2.00572i
\(248\) −2665.42 + 1283.60i −0.682478 + 0.328664i
\(249\) −98.4112 + 431.168i −0.0250464 + 0.109736i
\(250\) −2143.97 + 1032.48i −0.542385 + 0.261199i
\(251\) 4299.29 + 2070.43i 1.08115 + 0.520654i 0.887684 0.460453i \(-0.152313\pi\)
0.193465 + 0.981107i \(0.438027\pi\)
\(252\) −338.205 + 25.0914i −0.0845433 + 0.00627227i
\(253\) 7971.57 3838.91i 1.98090 0.953952i
\(254\) 4442.87 5571.18i 1.09752 1.37625i
\(255\) −165.071 79.4939i −0.0405378 0.0195220i
\(256\) −1221.48 1531.69i −0.298213 0.373947i
\(257\) −14.3890 63.0423i −0.00349245 0.0153014i 0.973152 0.230165i \(-0.0739265\pi\)
−0.976644 + 0.214863i \(0.931069\pi\)
\(258\) −2102.12 2635.98i −0.507258 0.636081i
\(259\) −1730.51 680.664i −0.415169 0.163299i
\(260\) 257.116 322.413i 0.0613294 0.0769047i
\(261\) −1903.92 916.880i −0.451531 0.217446i
\(262\) 950.750 + 4165.51i 0.224189 + 0.982236i
\(263\) 998.845 0.234188 0.117094 0.993121i \(-0.462642\pi\)
0.117094 + 0.993121i \(0.462642\pi\)
\(264\) 4466.89 1.04136
\(265\) −186.554 817.347i −0.0432450 0.189469i
\(266\) −5938.61 + 440.586i −1.36887 + 0.101557i
\(267\) 192.934 845.299i 0.0442224 0.193751i
\(268\) 51.9155 227.457i 0.0118330 0.0518438i
\(269\) −431.811 + 541.474i −0.0978735 + 0.122730i −0.828356 0.560202i \(-0.810724\pi\)
0.730483 + 0.682931i \(0.239295\pi\)
\(270\) 935.499 1173.08i 0.210862 0.264412i
\(271\) −258.570 + 1132.87i −0.0579594 + 0.253937i −0.995604 0.0936575i \(-0.970144\pi\)
0.937645 + 0.347594i \(0.113001\pi\)
\(272\) 148.972 652.690i 0.0332087 0.145497i
\(273\) −4642.81 + 2675.91i −1.02929 + 0.593237i
\(274\) −233.593 1023.44i −0.0515032 0.225650i
\(275\) −5628.08 −1.23413
\(276\) 817.237 0.178232
\(277\) 489.069 + 2142.75i 0.106084 + 0.464785i 0.999867 + 0.0162860i \(0.00518422\pi\)
−0.893783 + 0.448499i \(0.851959\pi\)
\(278\) −3348.18 1612.40i −0.722340 0.347861i
\(279\) −1068.39 + 1339.72i −0.229258 + 0.287481i
\(280\) 514.380 + 1672.00i 0.109786 + 0.356862i
\(281\) 2151.61 + 2698.03i 0.456777 + 0.572780i 0.955878 0.293764i \(-0.0949079\pi\)
−0.499101 + 0.866544i \(0.666337\pi\)
\(282\) 683.234 + 2993.44i 0.144277 + 0.632117i
\(283\) 2883.23 + 3615.46i 0.605620 + 0.759423i 0.986242 0.165307i \(-0.0528616\pi\)
−0.380622 + 0.924731i \(0.624290\pi\)
\(284\) 191.750 + 92.3420i 0.0400644 + 0.0192940i
\(285\) −1098.45 + 1377.41i −0.228303 + 0.286283i
\(286\) −9581.07 + 4614.00i −1.98091 + 0.953956i
\(287\) 831.538 5489.13i 0.171025 1.12897i
\(288\) −738.626 355.703i −0.151125 0.0727779i
\(289\) 4275.82 2059.13i 0.870307 0.419118i
\(290\) −341.910 + 1498.01i −0.0692333 + 0.303331i
\(291\) 1820.38 876.651i 0.366711 0.176599i
\(292\) 163.391 + 204.886i 0.0327456 + 0.0410617i
\(293\) 1790.83 0.357070 0.178535 0.983934i \(-0.442864\pi\)
0.178535 + 0.983934i \(0.442864\pi\)
\(294\) 244.224 3195.02i 0.0484471 0.633800i
\(295\) −1721.39 −0.339741
\(296\) −1507.63 1890.51i −0.296044 0.371228i
\(297\) 6843.18 3295.50i 1.33697 0.643853i
\(298\) −1988.37 + 8711.61i −0.386520 + 1.69346i
\(299\) −12435.3 + 5988.53i −2.40519 + 1.15828i
\(300\) −468.365 225.553i −0.0901368 0.0434076i
\(301\) 5790.95 3337.65i 1.10892 0.639133i
\(302\) 1771.81 853.261i 0.337604 0.162582i
\(303\) 2756.28 3456.27i 0.522588 0.655305i
\(304\) −5800.08 2793.17i −1.09427 0.526971i
\(305\) 493.086 + 618.310i 0.0925705 + 0.116080i
\(306\) −103.790 454.736i −0.0193899 0.0849527i
\(307\) −5544.75 6952.89i −1.03080 1.29258i −0.955364 0.295431i \(-0.904537\pi\)
−0.0754356 0.997151i \(-0.524035\pi\)
\(308\) −186.965 + 1234.19i −0.0345887 + 0.228326i
\(309\) 2148.10 2693.64i 0.395474 0.495908i
\(310\) 1122.57 + 540.602i 0.205670 + 0.0990456i
\(311\) 817.241 + 3580.57i 0.149008 + 0.652846i 0.993162 + 0.116746i \(0.0372462\pi\)
−0.844154 + 0.536101i \(0.819897\pi\)
\(312\) −6968.16 −1.26440
\(313\) 3380.52 0.610474 0.305237 0.952276i \(-0.401264\pi\)
0.305237 + 0.952276i \(0.401264\pi\)
\(314\) 1617.23 + 7085.54i 0.290654 + 1.27344i
\(315\) 688.635 + 743.283i 0.123175 + 0.132950i
\(316\) 197.524 865.410i 0.0351633 0.154060i
\(317\) −650.612 + 2850.52i −0.115275 + 0.505051i 0.884018 + 0.467452i \(0.154828\pi\)
−0.999293 + 0.0375987i \(0.988029\pi\)
\(318\) −1245.04 + 1561.23i −0.219554 + 0.275312i
\(319\) −4849.59 + 6081.19i −0.851175 + 1.06734i
\(320\) −494.141 + 2164.97i −0.0863229 + 0.378205i
\(321\) −425.290 + 1863.32i −0.0739482 + 0.323988i
\(322\) 1236.16 8160.09i 0.213939 1.41225i
\(323\) 357.760 + 1567.45i 0.0616294 + 0.270016i
\(324\) 207.144 0.0355186
\(325\) 8779.57 1.49847
\(326\) 1989.11 + 8714.88i 0.337935 + 1.48059i
\(327\) −2776.86 1337.27i −0.469605 0.226150i
\(328\) 4501.05 5644.14i 0.757711 0.950139i
\(329\) −6070.29 + 450.355i −1.01722 + 0.0754678i
\(330\) −1172.96 1470.84i −0.195664 0.245355i
\(331\) 724.680 + 3175.03i 0.120338 + 0.527237i 0.998780 + 0.0493868i \(0.0157267\pi\)
−0.878441 + 0.477850i \(0.841416\pi\)
\(332\) −100.198 125.645i −0.0165636 0.0207701i
\(333\) −1261.89 607.692i −0.207660 0.100004i
\(334\) 5002.85 6273.38i 0.819592 1.02774i
\(335\) −628.035 + 302.446i −0.102427 + 0.0493265i
\(336\) 1953.51 2860.69i 0.317180 0.464474i
\(337\) −3483.49 1677.56i −0.563079 0.271165i 0.130616 0.991433i \(-0.458304\pi\)
−0.693696 + 0.720268i \(0.744019\pi\)
\(338\) 9827.32 4732.59i 1.58147 0.761594i
\(339\) 380.823 1668.49i 0.0610131 0.267316i
\(340\) 59.9830 28.8863i 0.00956775 0.00460759i
\(341\) 3932.49 + 4931.19i 0.624506 + 0.783106i
\(342\) −4485.14 −0.709149
\(343\) 6190.00 + 1427.40i 0.974428 + 0.224701i
\(344\) 8691.34 1.36223
\(345\) −1522.39 1909.01i −0.237573 0.297907i
\(346\) 6372.84 3069.00i 0.990190 0.476851i
\(347\) 1563.91 6851.93i 0.241945 1.06003i −0.697299 0.716781i \(-0.745615\pi\)
0.939244 0.343251i \(-0.111528\pi\)
\(348\) −647.291 + 311.719i −0.0997081 + 0.0480169i
\(349\) −3550.87 1710.01i −0.544623 0.262277i 0.141280 0.989970i \(-0.454878\pi\)
−0.685903 + 0.727693i \(0.740593\pi\)
\(350\) −2960.58 + 4335.43i −0.452143 + 0.662110i
\(351\) −10675.1 + 5140.84i −1.62334 + 0.781760i
\(352\) −1881.40 + 2359.20i −0.284883 + 0.357232i
\(353\) 7970.72 + 3838.50i 1.20181 + 0.578761i 0.924191 0.381930i \(-0.124741\pi\)
0.277618 + 0.960691i \(0.410455\pi\)
\(354\) 2556.40 + 3205.62i 0.383817 + 0.481291i
\(355\) −141.496 619.935i −0.0211545 0.0926837i
\(356\) 196.438 + 246.325i 0.0292449 + 0.0366720i
\(357\) −862.761 + 64.0083i −0.127905 + 0.00948929i
\(358\) −2921.54 + 3663.50i −0.431308 + 0.540843i
\(359\) −8640.24 4160.92i −1.27024 0.611713i −0.327373 0.944895i \(-0.606163\pi\)
−0.942863 + 0.333182i \(0.891878\pi\)
\(360\) 293.187 + 1284.54i 0.0429231 + 0.188058i
\(361\) 8601.04 1.25398
\(362\) −6163.71 −0.894910
\(363\) −1049.17 4596.71i −0.151700 0.664641i
\(364\) 291.658 1925.28i 0.0419973 0.277231i
\(365\) 174.227 763.340i 0.0249849 0.109466i
\(366\) 419.163 1836.47i 0.0598634 0.262279i
\(367\) −997.677 + 1251.05i −0.141903 + 0.177941i −0.847704 0.530469i \(-0.822016\pi\)
0.705801 + 0.708410i \(0.250587\pi\)
\(368\) 5562.86 6975.61i 0.788001 0.988122i
\(369\) 930.467 4076.64i 0.131269 0.575126i
\(370\) −226.612 + 992.854i −0.0318406 + 0.139503i
\(371\) −2690.46 2903.96i −0.376500 0.406378i
\(372\) 129.635 + 567.970i 0.0180680 + 0.0791609i
\(373\) −13079.2 −1.81559 −0.907797 0.419409i \(-0.862237\pi\)
−0.907797 + 0.419409i \(0.862237\pi\)
\(374\) −1716.81 −0.237365
\(375\) 739.733 + 3240.98i 0.101866 + 0.446303i
\(376\) −7131.25 3434.23i −0.978102 0.471029i
\(377\) 7565.16 9486.40i 1.03349 1.29595i
\(378\) 1061.18 7005.01i 0.144394 0.953172i
\(379\) 2223.64 + 2788.35i 0.301374 + 0.377910i 0.909341 0.416051i \(-0.136586\pi\)
−0.607968 + 0.793962i \(0.708015\pi\)
\(380\) −142.456 624.138i −0.0192311 0.0842569i
\(381\) −6206.67 7782.92i −0.834587 1.04654i
\(382\) 1218.92 + 587.001i 0.163260 + 0.0786220i
\(383\) −2687.27 + 3369.73i −0.358520 + 0.449570i −0.928081 0.372379i \(-0.878542\pi\)
0.569560 + 0.821949i \(0.307113\pi\)
\(384\) 3235.16 1557.97i 0.429932 0.207044i
\(385\) 3231.27 1862.36i 0.427742 0.246532i
\(386\) 2992.52 + 1441.12i 0.394599 + 0.190029i
\(387\) 4535.67 2184.27i 0.595766 0.286906i
\(388\) −163.374 + 715.787i −0.0213764 + 0.0936561i
\(389\) −4152.08 + 1999.54i −0.541180 + 0.260619i −0.684443 0.729066i \(-0.739955\pi\)
0.143263 + 0.989685i \(0.454240\pi\)
\(390\) 1829.76 + 2294.45i 0.237574 + 0.297908i
\(391\) −2228.26 −0.288205
\(392\) 6046.84 + 5627.45i 0.779111 + 0.725074i
\(393\) 5968.85 0.766129
\(394\) 1542.29 + 1933.97i 0.197207 + 0.247289i
\(395\) −2389.50 + 1150.72i −0.304376 + 0.146580i
\(396\) −209.208 + 916.602i −0.0265483 + 0.116316i
\(397\) 7837.43 3774.31i 0.990805 0.477146i 0.132997 0.991116i \(-0.457540\pi\)
0.857808 + 0.513970i \(0.171826\pi\)
\(398\) 6004.62 + 2891.67i 0.756242 + 0.364187i
\(399\) −1246.02 + 8225.18i −0.156338 + 1.03201i
\(400\) −5113.34 + 2462.46i −0.639168 + 0.307807i
\(401\) 4326.85 5425.70i 0.538835 0.675677i −0.435654 0.900114i \(-0.643483\pi\)
0.974489 + 0.224437i \(0.0720543\pi\)
\(402\) 1495.90 + 720.387i 0.185594 + 0.0893772i
\(403\) −6134.53 7692.45i −0.758269 0.950839i
\(404\) 357.456 + 1566.12i 0.0440201 + 0.192865i
\(405\) −385.877 483.875i −0.0473442 0.0593678i
\(406\) 2133.41 + 6934.69i 0.260786 + 0.847691i
\(407\) −3214.23 + 4030.51i −0.391458 + 0.490872i
\(408\) −1013.55 488.102i −0.122986 0.0592270i
\(409\) −2693.94 11802.9i −0.325689 1.42694i −0.827260 0.561820i \(-0.810101\pi\)
0.501571 0.865117i \(-0.332756\pi\)
\(410\) −3040.41 −0.366232
\(411\) −1466.51 −0.176004
\(412\) 278.583 + 1220.55i 0.0333126 + 0.145952i
\(413\) −7042.38 + 4058.93i −0.839063 + 0.483600i
\(414\) 1383.22 6060.30i 0.164207 0.719438i
\(415\) −106.844 + 468.114i −0.0126380 + 0.0553706i
\(416\) 2934.90 3680.25i 0.345902 0.433748i
\(417\) −3236.86 + 4058.90i −0.380119 + 0.476655i
\(418\) −3673.53 + 16094.8i −0.429853 + 1.88331i
\(419\) −1906.10 + 8351.16i −0.222241 + 0.973701i 0.733546 + 0.679640i \(0.237864\pi\)
−0.955787 + 0.294061i \(0.904993\pi\)
\(420\) 343.541 25.4873i 0.0399121 0.00296108i
\(421\) −1645.15 7207.86i −0.190450 0.834417i −0.976373 0.216092i \(-0.930669\pi\)
0.785923 0.618325i \(-0.212188\pi\)
\(422\) −7932.57 −0.915051
\(423\) −4584.60 −0.526976
\(424\) −1145.46 5018.60i −0.131200 0.574823i
\(425\) 1277.03 + 614.986i 0.145753 + 0.0701911i
\(426\) −944.325 + 1184.15i −0.107401 + 0.134676i
\(427\) 3475.19 + 1366.90i 0.393855 + 0.154916i
\(428\) −433.014 542.982i −0.0489030 0.0613225i
\(429\) 3305.76 + 14483.5i 0.372036 + 1.63000i
\(430\) −2282.25 2861.85i −0.255954 0.320956i
\(431\) 10866.0 + 5232.79i 1.21438 + 0.584814i 0.927741 0.373226i \(-0.121748\pi\)
0.286637 + 0.958039i \(0.407463\pi\)
\(432\) 4775.43 5988.20i 0.531847 0.666915i
\(433\) −12685.0 + 6108.75i −1.40785 + 0.677986i −0.974738 0.223353i \(-0.928300\pi\)
−0.433114 + 0.901339i \(0.642585\pi\)
\(434\) 5867.25 435.291i 0.648933 0.0481444i
\(435\) 1933.96 + 931.345i 0.213164 + 0.102654i
\(436\) 1009.05 485.932i 0.110836 0.0533760i
\(437\) −4767.90 + 20889.5i −0.521921 + 2.28668i
\(438\) −1680.25 + 809.166i −0.183300 + 0.0882727i
\(439\) −3741.98 4692.30i −0.406823 0.510139i 0.535642 0.844445i \(-0.320070\pi\)
−0.942465 + 0.334306i \(0.891498\pi\)
\(440\) 4849.65 0.525450
\(441\) 4569.88 + 1417.09i 0.493454 + 0.153016i
\(442\) 2678.16 0.288206
\(443\) 746.693 + 936.323i 0.0800823 + 0.100420i 0.820259 0.571993i \(-0.193829\pi\)
−0.740176 + 0.672413i \(0.765258\pi\)
\(444\) −429.014 + 206.602i −0.0458560 + 0.0220831i
\(445\) 209.466 917.732i 0.0223138 0.0977633i
\(446\) 919.586 442.849i 0.0976315 0.0470169i
\(447\) 11246.9 + 5416.20i 1.19006 + 0.573104i
\(448\) 3083.28 + 10022.3i 0.325159 + 1.05694i
\(449\) 1704.77 820.973i 0.179183 0.0862898i −0.342142 0.939648i \(-0.611152\pi\)
0.521325 + 0.853358i \(0.325438\pi\)
\(450\) −2465.34 + 3091.44i −0.258261 + 0.323849i
\(451\) −13866.8 6677.90i −1.44781 0.697229i
\(452\) 387.739 + 486.209i 0.0403489 + 0.0505959i
\(453\) −611.329 2678.41i −0.0634056 0.277798i
\(454\) −675.108 846.559i −0.0697894 0.0875132i
\(455\) −5040.64 + 2905.21i −0.519361 + 0.299337i
\(456\) −6744.60 + 8457.46i −0.692642 + 0.868546i
\(457\) −1379.79 664.472i −0.141234 0.0680146i 0.361932 0.932204i \(-0.382117\pi\)
−0.503166 + 0.864190i \(0.667832\pi\)
\(458\) 207.808 + 910.467i 0.0212014 + 0.0928893i
\(459\) −1912.85 −0.194519
\(460\) 887.265 0.0899325
\(461\) −2702.05 11838.5i −0.272987 1.19603i −0.906468 0.422275i \(-0.861232\pi\)
0.633481 0.773759i \(-0.281626\pi\)
\(462\) −8266.82 3251.60i −0.832483 0.327442i
\(463\) 190.546 834.837i 0.0191262 0.0837974i −0.964464 0.264214i \(-0.914887\pi\)
0.983590 + 0.180417i \(0.0577446\pi\)
\(464\) −1745.35 + 7646.86i −0.174624 + 0.765079i
\(465\) 1085.25 1360.86i 0.108231 0.135717i
\(466\) −1285.84 + 1612.40i −0.127823 + 0.160285i
\(467\) 2158.95 9458.97i 0.213928 0.937278i −0.747941 0.663765i \(-0.768957\pi\)
0.961868 0.273513i \(-0.0881855\pi\)
\(468\) 326.356 1429.86i 0.0322347 0.141229i
\(469\) −1856.20 + 2718.19i −0.182754 + 0.267622i
\(470\) 741.779 + 3249.95i 0.0727994 + 0.318955i
\(471\) 10153.0 0.993264
\(472\) −10569.6 −1.03073
\(473\) −4123.25 18065.1i −0.400819 1.75610i
\(474\) 5691.48 + 2740.87i 0.551515 + 0.265596i
\(475\) 8497.89 10656.0i 0.820863 1.02933i
\(476\) 177.284 259.612i 0.0170710 0.0249985i
\(477\) −1859.02 2331.14i −0.178446 0.223764i
\(478\) −62.0280 271.762i −0.00593534 0.0260044i
\(479\) 11247.8 + 14104.3i 1.07292 + 1.34539i 0.934879 + 0.354967i \(0.115508\pi\)
0.138038 + 0.990427i \(0.455921\pi\)
\(480\) 750.279 + 361.315i 0.0713445 + 0.0343577i
\(481\) 5014.06 6287.43i 0.475304 0.596013i
\(482\) 136.815 65.8867i 0.0129290 0.00622626i
\(483\) −10729.5 4220.27i −1.01079 0.397575i
\(484\) 1543.63 + 743.371i 0.144969 + 0.0698132i
\(485\) 1976.37 951.770i 0.185036 0.0891085i
\(486\) 1970.36 8632.71i 0.183904 0.805736i
\(487\) 6915.84 3330.49i 0.643504 0.309895i −0.0835209 0.996506i \(-0.526617\pi\)
0.727025 + 0.686611i \(0.240902\pi\)
\(488\) 3027.60 + 3796.49i 0.280847 + 0.352170i
\(489\) 12487.8 1.15484
\(490\) 265.151 3468.79i 0.0244455 0.319804i
\(491\) −14946.2 −1.37376 −0.686878 0.726773i \(-0.741019\pi\)
−0.686878 + 0.726773i \(0.741019\pi\)
\(492\) −886.360 1111.46i −0.0812199 0.101847i
\(493\) 1764.89 849.926i 0.161230 0.0776445i
\(494\) 5730.56 25107.2i 0.521923 2.28669i
\(495\) 2530.84 1218.79i 0.229804 0.110668i
\(496\) 5730.38 + 2759.61i 0.518753 + 0.249818i
\(497\) −2040.64 2202.57i −0.184175 0.198790i
\(498\) 1030.40 496.217i 0.0927179 0.0446506i
\(499\) 5347.77 6705.89i 0.479757 0.601597i −0.481773 0.876296i \(-0.660007\pi\)
0.961530 + 0.274699i \(0.0885783\pi\)
\(500\) −1088.36 524.125i −0.0973457 0.0468792i
\(501\) −6988.97 8763.89i −0.623242 0.781520i
\(502\) −2745.88 12030.5i −0.244133 1.06962i
\(503\) 11058.8 + 13867.3i 0.980290 + 1.22925i 0.973363 + 0.229269i \(0.0736336\pi\)
0.00692728 + 0.999976i \(0.497795\pi\)
\(504\) 4228.30 + 4563.84i 0.373697 + 0.403352i
\(505\) 2992.46 3752.43i 0.263689 0.330655i
\(506\) −20614.3 9927.31i −1.81110 0.872180i
\(507\) −3390.72 14855.7i −0.297016 1.30131i
\(508\) 3617.33 0.315931
\(509\) 16898.8 1.47157 0.735784 0.677217i \(-0.236814\pi\)
0.735784 + 0.677217i \(0.236814\pi\)
\(510\) 105.428 + 461.910i 0.00915378 + 0.0401053i
\(511\) −1087.12 3533.71i −0.0941123 0.305914i
\(512\) −2896.74 + 12691.4i −0.250037 + 1.09548i
\(513\) −4092.99 + 17932.6i −0.352261 + 1.54336i
\(514\) −104.259 + 130.736i −0.00894681 + 0.0112189i
\(515\) 2332.17 2924.45i 0.199549 0.250227i
\(516\) 380.850 1668.61i 0.0324922 0.142358i
\(517\) −3754.99 + 16451.7i −0.319428 + 1.39951i
\(518\) 1413.99 + 4596.19i 0.119936 + 0.389855i
\(519\) −2198.82 9633.66i −0.185968 0.814780i
\(520\) −7565.25 −0.637996
\(521\) −14509.6 −1.22011 −0.610055 0.792359i \(-0.708853\pi\)
−0.610055 + 0.792359i \(0.708853\pi\)
\(522\) 1216.00 + 5327.65i 0.101960 + 0.446714i
\(523\) 12379.8 + 5961.81i 1.03505 + 0.498454i 0.872689 0.488277i \(-0.162374\pi\)
0.162363 + 0.986731i \(0.448089\pi\)
\(524\) −1352.32 + 1695.75i −0.112741 + 0.141373i
\(525\) 4984.41 + 5379.95i 0.414357 + 0.447239i
\(526\) −1610.47 2019.46i −0.133497 0.167400i
\(527\) −353.461 1548.61i −0.0292163 0.128005i
\(528\) −5987.58 7508.19i −0.493515 0.618848i
\(529\) −15793.3 7605.64i −1.29804 0.625104i
\(530\) −1351.72 + 1695.01i −0.110783 + 0.138918i
\(531\) −5515.84 + 2656.29i −0.450786 + 0.217087i
\(532\) −2054.47 2217.51i −0.167430 0.180716i
\(533\) 21631.6 + 10417.3i 1.75792 + 0.846569i
\(534\) −2020.10 + 972.827i −0.163704 + 0.0788358i
\(535\) −461.732 + 2022.98i −0.0373130 + 0.163479i
\(536\) −3856.20 + 1857.05i −0.310751 + 0.149650i
\(537\) 4081.39 + 5117.90i 0.327979 + 0.411273i
\(538\) 1790.97 0.143521
\(539\) 8828.10 15238.2i 0.705479 1.21773i
\(540\) 761.671 0.0606983
\(541\) 5220.98 + 6546.90i 0.414912 + 0.520283i 0.944739 0.327822i \(-0.106315\pi\)
−0.529828 + 0.848105i \(0.677743\pi\)
\(542\) 2707.33 1303.78i 0.214557 0.103325i
\(543\) −1916.06 + 8394.80i −0.151429 + 0.663453i
\(544\) 684.689 329.729i 0.0539628 0.0259871i
\(545\) −3014.81 1451.85i −0.236954 0.114111i
\(546\) 12895.9 + 5072.36i 1.01079 + 0.397577i
\(547\) −9016.80 + 4342.26i −0.704809 + 0.339418i −0.751721 0.659481i \(-0.770776\pi\)
0.0469121 + 0.998899i \(0.485062\pi\)
\(548\) 332.256 416.635i 0.0259001 0.0324777i
\(549\) 2534.10 + 1220.36i 0.197000 + 0.0948702i
\(550\) 9074.31 + 11378.8i 0.703509 + 0.882172i
\(551\) −4191.49 18364.1i −0.324072 1.41985i
\(552\) −9347.62 11721.6i −0.720763 0.903809i
\(553\) −7062.33 + 10342.0i −0.543076 + 0.795271i
\(554\) 3543.67 4443.62i 0.271762 0.340779i
\(555\) 1281.79 + 617.280i 0.0980345 + 0.0472109i
\(556\) −419.782 1839.18i −0.0320193 0.140286i
\(557\) −880.557 −0.0669846 −0.0334923 0.999439i \(-0.510663\pi\)
−0.0334923 + 0.999439i \(0.510663\pi\)
\(558\) 4431.25 0.336182
\(559\) 6432.09 + 28180.8i 0.486670 + 2.13224i
\(560\) 2120.90 3105.81i 0.160044 0.234365i
\(561\) −533.691 + 2338.25i −0.0401648 + 0.175973i
\(562\) 1985.77 8700.23i 0.149047 0.653019i
\(563\) −6927.96 + 8687.39i −0.518612 + 0.650319i −0.970314 0.241850i \(-0.922246\pi\)
0.451701 + 0.892169i \(0.350817\pi\)
\(564\) −971.810 + 1218.61i −0.0725542 + 0.0909801i
\(565\) 413.455 1811.46i 0.0307862 0.134883i
\(566\) 2661.00 11658.6i 0.197615 0.865810i
\(567\) −2719.60 1069.71i −0.201433 0.0792300i
\(568\) −868.802 3806.47i −0.0641798 0.281190i
\(569\) 1846.90 0.136074 0.0680371 0.997683i \(-0.478326\pi\)
0.0680371 + 0.997683i \(0.478326\pi\)
\(570\) 4555.90 0.334782
\(571\) 1169.75 + 5125.01i 0.0857312 + 0.375613i 0.999533 0.0305468i \(-0.00972485\pi\)
−0.913802 + 0.406160i \(0.866868\pi\)
\(572\) −4863.71 2342.24i −0.355528 0.171213i
\(573\) 1178.39 1477.66i 0.0859130 0.107731i
\(574\) −12438.6 + 7169.08i −0.904491 + 0.521309i
\(575\) 11777.6 + 14768.6i 0.854190 + 1.07112i
\(576\) 1757.41 + 7699.71i 0.127127 + 0.556981i
\(577\) 6072.59 + 7614.79i 0.438138 + 0.549407i 0.951051 0.309033i \(-0.100005\pi\)
−0.512914 + 0.858440i \(0.671434\pi\)
\(578\) −11057.2 5324.85i −0.795705 0.383191i
\(579\) 2893.03 3627.74i 0.207651 0.260387i
\(580\) −702.756 + 338.430i −0.0503110 + 0.0242285i
\(581\) 666.671 + 2167.03i 0.0476044 + 0.154739i
\(582\) −4707.47 2267.00i −0.335276 0.161461i
\(583\) −9887.85 + 4761.74i −0.702424 + 0.338269i
\(584\) 1069.78 4686.99i 0.0758007 0.332105i
\(585\) −3948.01 + 1901.26i −0.279026 + 0.134372i
\(586\) −2887.41 3620.69i −0.203546 0.255238i
\(587\) 48.2902 0.00339549 0.00169774 0.999999i \(-0.499460\pi\)
0.00169774 + 0.999999i \(0.499460\pi\)
\(588\) 1345.36 914.315i 0.0943566 0.0641254i
\(589\) −15274.3 −1.06853
\(590\) 2775.45 + 3480.31i 0.193667 + 0.242851i
\(591\) 3113.45 1499.36i 0.216701 0.104358i
\(592\) −1156.79 + 5068.21i −0.0803101 + 0.351862i
\(593\) −21008.5 + 10117.2i −1.45483 + 0.700610i −0.983426 0.181307i \(-0.941967\pi\)
−0.471405 + 0.881917i \(0.656253\pi\)
\(594\) −17696.3 8522.08i −1.22237 0.588662i
\(595\) −936.690 + 69.4931i −0.0645387 + 0.00478813i
\(596\) −4086.86 + 1968.13i −0.280880 + 0.135264i
\(597\) 5804.98 7279.21i 0.397960 0.499026i
\(598\) 32157.4 + 15486.2i 2.19902 + 1.05899i
\(599\) 1361.80 + 1707.64i 0.0928909 + 0.116482i 0.826105 0.563517i \(-0.190552\pi\)
−0.733214 + 0.679998i \(0.761981\pi\)
\(600\) 2122.11 + 9297.59i 0.144392 + 0.632621i
\(601\) 966.896 + 1212.45i 0.0656248 + 0.0822909i 0.813560 0.581480i \(-0.197526\pi\)
−0.747936 + 0.663771i \(0.768955\pi\)
\(602\) −16085.0 6326.72i −1.08899 0.428335i
\(603\) −1545.70 + 1938.25i −0.104388 + 0.130898i
\(604\) 899.439 + 433.147i 0.0605922 + 0.0291797i
\(605\) −1139.07 4990.59i −0.0765451 0.335366i
\(606\) −11431.9 −0.766319
\(607\) 12160.6 0.813150 0.406575 0.913617i \(-0.366723\pi\)
0.406575 + 0.913617i \(0.366723\pi\)
\(608\) −1626.09 7124.36i −0.108465 0.475215i
\(609\) 10108.0 749.916i 0.672576 0.0498984i
\(610\) 455.080 1993.84i 0.0302060 0.132341i
\(611\) 5857.63 25663.9i 0.387847 1.69927i
\(612\) 147.628 185.120i 0.00975085 0.0122272i
\(613\) 6726.48 8434.74i 0.443197 0.555752i −0.509185 0.860657i \(-0.670053\pi\)
0.952383 + 0.304905i \(0.0986247\pi\)
\(614\) −5117.38 + 22420.7i −0.336353 + 1.47366i
\(615\) −945.147 + 4140.96i −0.0619707 + 0.271511i
\(616\) 19840.4 11435.1i 1.29771 0.747945i
\(617\) −3490.30 15292.0i −0.227738 0.997785i −0.951479 0.307713i \(-0.900436\pi\)
0.723741 0.690071i \(-0.242421\pi\)
\(618\) −8909.43 −0.579919
\(619\) −18459.4 −1.19862 −0.599309 0.800518i \(-0.704558\pi\)
−0.599309 + 0.800518i \(0.704558\pi\)
\(620\) 140.744 + 616.639i 0.00911678 + 0.0399432i
\(621\) −22968.1 11060.8i −1.48418 0.714745i
\(622\) 5921.51 7425.34i 0.381722 0.478664i
\(623\) −1307.00 4248.43i −0.0840511 0.273210i
\(624\) 9340.37 + 11712.5i 0.599222 + 0.751400i
\(625\) −2245.88 9839.85i −0.143736 0.629750i
\(626\) −5450.51 6834.72i −0.347997 0.436375i
\(627\) 20778.7 + 10006.5i 1.32348 + 0.637354i
\(628\) −2300.30 + 2884.48i −0.146165 + 0.183285i
\(629\) 1169.74 563.316i 0.0741503 0.0357089i
\(630\) 392.460 2590.70i 0.0248190 0.163835i
\(631\) 12062.1 + 5808.79i 0.760988 + 0.366473i 0.773787 0.633445i \(-0.218360\pi\)
−0.0127990 + 0.999918i \(0.504074\pi\)
\(632\) −14671.8 + 7065.55i −0.923437 + 0.444704i
\(633\) −2465.93 + 10803.9i −0.154837 + 0.678386i
\(634\) 6812.17 3280.57i 0.426728 0.205502i
\(635\) −6738.51 8449.83i −0.421118 0.528065i
\(636\) −1013.69 −0.0632005
\(637\) −13771.5 + 23771.0i −0.856586 + 1.47856i
\(638\) 20114.1 1.24816
\(639\) −1410.02 1768.11i −0.0872918 0.109460i
\(640\) 3512.38 1691.47i 0.216936 0.104471i
\(641\) −6574.75 + 28805.9i −0.405128 + 1.77498i 0.200976 + 0.979596i \(0.435589\pi\)
−0.606104 + 0.795386i \(0.707268\pi\)
\(642\) 4452.95 2144.43i 0.273745 0.131828i
\(643\) 5417.01 + 2608.69i 0.332233 + 0.159995i 0.592562 0.805525i \(-0.298117\pi\)
−0.260329 + 0.965520i \(0.583831\pi\)
\(644\) 3629.88 2092.11i 0.222108 0.128013i
\(645\) −4607.23 + 2218.73i −0.281255 + 0.135445i
\(646\) 2592.24 3250.56i 0.157879 0.197975i
\(647\) −9309.96 4483.44i −0.565707 0.272430i 0.129094 0.991632i \(-0.458793\pi\)
−0.694801 + 0.719202i \(0.744507\pi\)
\(648\) −2369.33 2971.05i −0.143636 0.180114i
\(649\) 5014.29 + 21969.1i 0.303279 + 1.32875i
\(650\) −14155.5 17750.5i −0.854194 1.07113i
\(651\) 1231.05 8126.34i 0.0741144 0.489242i
\(652\) −2829.25 + 3547.77i −0.169942 + 0.213100i
\(653\) 2599.78 + 1251.99i 0.155800 + 0.0750294i 0.510159 0.860080i \(-0.329587\pi\)
−0.354359 + 0.935110i \(0.615301\pi\)
\(654\) 1773.53 + 7770.36i 0.106041 + 0.464595i
\(655\) 6480.32 0.386576
\(656\) −15520.4 −0.923732
\(657\) −619.638 2714.81i −0.0367951 0.161210i
\(658\) 10697.8 + 11546.8i 0.633807 + 0.684103i
\(659\) 5792.05 25376.6i 0.342376 1.50005i −0.451666 0.892187i \(-0.649170\pi\)
0.794042 0.607862i \(-0.207973\pi\)
\(660\) 212.509 931.063i 0.0125332 0.0549115i
\(661\) 13332.1 16718.0i 0.784509 0.983743i −0.215465 0.976511i \(-0.569127\pi\)
0.999974 0.00723107i \(-0.00230174\pi\)
\(662\) 5250.84 6584.35i 0.308278 0.386568i
\(663\) 832.536 3647.58i 0.0487677 0.213665i
\(664\) −656.034 + 2874.27i −0.0383420 + 0.167987i
\(665\) −1352.79 + 8929.98i −0.0788855 + 0.520737i
\(666\) 805.945 + 3531.08i 0.0468915 + 0.205445i
\(667\) 26106.1 1.51549
\(668\) 4073.26 0.235927
\(669\) −317.285 1390.12i −0.0183362 0.0803363i
\(670\) 1624.08 + 782.116i 0.0936474 + 0.0450982i
\(671\) 6454.77 8094.03i 0.371362 0.465673i
\(672\) 3921.41 290.930i 0.225107 0.0167007i
\(673\) −18916.5 23720.6i −1.08348 1.35863i −0.928763 0.370675i \(-0.879126\pi\)
−0.154713 0.987960i \(-0.549445\pi\)
\(674\) 2224.85 + 9747.68i 0.127148 + 0.557072i
\(675\) 10110.4 + 12678.1i 0.576520 + 0.722934i
\(676\) 4988.71 + 2402.44i 0.283837 + 0.136689i
\(677\) −3536.86 + 4435.08i −0.200786 + 0.251778i −0.872023 0.489465i \(-0.837192\pi\)
0.671236 + 0.741243i \(0.265764\pi\)
\(678\) −3987.37 + 1920.21i −0.225861 + 0.108769i
\(679\) 5841.31 8553.92i 0.330146 0.483460i
\(680\) −1100.40 529.927i −0.0620567 0.0298849i
\(681\) −1362.85 + 656.316i −0.0766883 + 0.0369311i
\(682\) 3629.39 15901.4i 0.203778 0.892810i
\(683\) −3551.33 + 1710.23i −0.198957 + 0.0958129i −0.530710 0.847554i \(-0.678075\pi\)
0.331752 + 0.943367i \(0.392360\pi\)
\(684\) −1419.58 1780.10i −0.0793552 0.0995083i
\(685\) −1592.17 −0.0888085
\(686\) −7094.41 14816.4i −0.394848 0.824623i
\(687\) 1304.63 0.0724523
\(688\) −11650.2 14608.9i −0.645581 0.809532i
\(689\) 15424.6 7428.11i 0.852876 0.410724i
\(690\) −1405.05 + 6155.91i −0.0775206 + 0.339640i
\(691\) −9.39956 + 4.52659i −0.000517477 + 0.000249204i −0.434142 0.900844i \(-0.642949\pi\)
0.433625 + 0.901093i \(0.357234\pi\)
\(692\) 3235.09 + 1557.94i 0.177716 + 0.0855837i
\(693\) 7480.10 10953.7i 0.410022 0.600430i
\(694\) −16374.7 + 7885.66i −0.895643 + 0.431319i
\(695\) −3514.22 + 4406.70i −0.191802 + 0.240512i
\(696\) 11874.7 + 5718.56i 0.646710 + 0.311439i
\(697\) 2416.73 + 3030.48i 0.131335 + 0.164688i
\(698\) 2267.88 + 9936.22i 0.122981 + 0.538813i
\(699\) 1796.32 + 2252.52i 0.0972005 + 0.121886i
\(700\) −2657.72 + 197.177i −0.143504 + 0.0106465i
\(701\) −7407.47 + 9288.68i −0.399110 + 0.500469i −0.940260 0.340458i \(-0.889418\pi\)
0.541149 + 0.840926i \(0.317989\pi\)
\(702\) 27605.5 + 13294.1i 1.48419 + 0.714748i
\(703\) −2778.05 12171.4i −0.149041 0.652993i
\(704\) 29069.6 1.55625
\(705\) 4656.93 0.248780
\(706\) −5090.76 22304.1i −0.271379 1.18899i
\(707\) 3394.48 22407.6i 0.180569 1.19197i
\(708\) −463.152 + 2029.20i −0.0245852 + 0.107715i
\(709\) −469.402 + 2056.59i −0.0248643 + 0.108938i −0.985837 0.167705i \(-0.946365\pi\)
0.960973 + 0.276642i \(0.0892217\pi\)
\(710\) −1025.24 + 1285.61i −0.0541925 + 0.0679553i
\(711\) −5880.95 + 7374.48i −0.310201 + 0.388980i
\(712\) 1286.15 5634.98i 0.0676972 0.296601i
\(713\) 4710.60 20638.5i 0.247424 1.08404i
\(714\) 1520.47 + 1641.12i 0.0796947 + 0.0860190i
\(715\) 3589.02 + 15724.5i 0.187723 + 0.822467i
\(716\) −2378.68 −0.124156
\(717\) −389.415 −0.0202831
\(718\) 5518.38 + 24177.6i 0.286830 + 1.25668i
\(719\) −21330.8 10272.4i −1.10640 0.532815i −0.210736 0.977543i \(-0.567586\pi\)
−0.895666 + 0.444728i \(0.853300\pi\)
\(720\) 1766.12 2214.64i 0.0914158 0.114632i
\(721\) 2645.48 17463.3i 0.136648 0.902035i
\(722\) −13867.7 17389.6i −0.714824 0.896360i
\(723\) −47.2053 206.820i −0.00242819 0.0106386i
\(724\) −1950.86 2446.30i −0.100142 0.125574i
\(725\) −14961.6 7205.13i −0.766428 0.369092i
\(726\) −7602.00 + 9532.61i −0.388618 + 0.487312i
\(727\) −23653.0 + 11390.7i −1.20666 + 0.581096i −0.925567 0.378585i \(-0.876411\pi\)
−0.281092 + 0.959681i \(0.590697\pi\)
\(728\) −30950.1 + 17838.3i −1.57567 + 0.908148i
\(729\) −14983.6 7215.70i −0.761244 0.366596i
\(730\) −1824.23 + 878.502i −0.0924901 + 0.0445409i
\(731\) −1038.42 + 4549.60i −0.0525407 + 0.230196i
\(732\) 861.540 414.896i 0.0435020 0.0209494i
\(733\) 5847.43 + 7332.45i 0.294652 + 0.369482i 0.907018 0.421093i \(-0.138353\pi\)
−0.612366 + 0.790575i \(0.709782\pi\)
\(734\) 4137.95 0.208085
\(735\) −4641.97 1439.44i −0.232955 0.0722376i
\(736\) 10127.9 0.507226
\(737\) 5689.34 + 7134.20i 0.284355 + 0.356569i
\(738\) −9742.36 + 4691.67i −0.485937 + 0.234015i
\(739\) 964.117 4224.07i 0.0479914 0.210264i −0.945247 0.326355i \(-0.894179\pi\)
0.993239 + 0.116091i \(0.0370365\pi\)
\(740\) −465.775 + 224.305i −0.0231382 + 0.0111427i
\(741\) −32413.9 15609.7i −1.60696 0.773869i
\(742\) −1533.32 + 10121.7i −0.0758623 + 0.500780i
\(743\) 28881.7 13908.7i 1.42606 0.686756i 0.447803 0.894132i \(-0.352207\pi\)
0.978261 + 0.207376i \(0.0664923\pi\)
\(744\) 6663.55 8355.83i 0.328357 0.411747i
\(745\) 12210.6 + 5880.31i 0.600485 + 0.289178i
\(746\) 21088.0 + 26443.5i 1.03497 + 1.29781i
\(747\) 379.990 + 1664.84i 0.0186119 + 0.0815441i
\(748\) −543.383 681.381i −0.0265616 0.0333072i
\(749\) 2881.06 + 9364.94i 0.140549 + 0.456859i
\(750\) 5359.91 6721.11i 0.260955 0.327227i
\(751\) 17265.0 + 8314.40i 0.838895 + 0.403990i 0.803444 0.595381i \(-0.202999\pi\)
0.0354513 + 0.999371i \(0.488713\pi\)
\(752\) 3786.55 + 16590.0i 0.183619 + 0.804487i
\(753\) −17238.8 −0.834284
\(754\) −31377.1 −1.51550
\(755\) −663.713 2907.92i −0.0319934 0.140172i
\(756\) 3116.07 1795.97i 0.149908 0.0864003i
\(757\) 5728.49 25098.1i 0.275040 1.20503i −0.628940 0.777454i \(-0.716511\pi\)
0.903980 0.427575i \(-0.140632\pi\)
\(758\) 2052.25 8991.48i 0.0983390 0.430851i
\(759\) −19928.9 + 24990.0i −0.953061 + 1.19510i
\(760\) −7322.53 + 9182.17i −0.349495 + 0.438253i
\(761\) −1438.00 + 6300.28i −0.0684986 + 0.300112i −0.997560 0.0698135i \(-0.977760\pi\)
0.929062 + 0.369925i \(0.120617\pi\)
\(762\) −5728.28 + 25097.3i −0.272328 + 1.19315i
\(763\) −15757.2 + 1169.03i −0.747641 + 0.0554675i
\(764\) 152.824 + 669.564i 0.00723686 + 0.0317068i
\(765\) −707.437 −0.0334346
\(766\) 11145.7 0.525731
\(767\) −7822.09 34270.8i −0.368239 1.61336i
\(768\) 6376.56 + 3070.79i 0.299602 + 0.144281i
\(769\) −21188.6 + 26569.6i −0.993601 + 1.24594i −0.0243902 + 0.999703i \(0.507764\pi\)
−0.969211 + 0.246233i \(0.920807\pi\)
\(770\) −8975.19 3530.23i −0.420056