Properties

Label 273.2.by.d.97.6
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.6
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0578232 + 0.215799i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.68883 - 0.975044i) q^{4} +(1.08760 + 1.08760i) q^{5} +(0.0578232 - 0.215799i) q^{6} +(-0.725943 + 2.54421i) q^{7} +(0.624019 + 0.624019i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.0578232 + 0.215799i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.68883 - 0.975044i) q^{4} +(1.08760 + 1.08760i) q^{5} +(0.0578232 - 0.215799i) q^{6} +(-0.725943 + 2.54421i) q^{7} +(0.624019 + 0.624019i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.171815 + 0.297592i) q^{10} +(4.17464 - 1.11859i) q^{11} -1.95009 q^{12} +(-3.01096 - 1.98346i) q^{13} +(-0.591015 - 0.00954346i) q^{14} +(-0.398089 - 1.48569i) q^{15} +(1.85151 - 3.20690i) q^{16} +(3.78401 + 6.55410i) q^{17} +(-0.157976 + 0.157976i) q^{18} +(1.31714 - 4.91565i) q^{19} +(2.89722 + 0.776309i) q^{20} +(1.90079 - 1.84038i) q^{21} +(0.482783 + 0.836204i) q^{22} +(-1.85976 - 1.07373i) q^{23} +(-0.228407 - 0.852426i) q^{24} -2.63425i q^{25} +(0.253926 - 0.764453i) q^{26} -1.00000i q^{27} +(1.25473 + 5.00455i) q^{28} +(-2.66646 + 4.61844i) q^{29} +(0.297592 - 0.171815i) q^{30} +(1.09410 + 1.09410i) q^{31} +(2.50396 + 0.670934i) q^{32} +(-4.17464 - 1.11859i) q^{33} +(-1.19557 + 1.19557i) q^{34} +(-3.55662 + 1.97755i) q^{35} +(1.68883 + 0.975044i) q^{36} +(-2.82556 + 0.757106i) q^{37} +1.13695 q^{38} +(1.61584 + 3.22321i) q^{39} +1.35737i q^{40} +(1.37894 - 0.369486i) q^{41} +(0.507062 + 0.303772i) q^{42} +(-6.58558 + 3.80219i) q^{43} +(5.95956 - 5.95956i) q^{44} +(-0.398089 + 1.48569i) q^{45} +(0.124173 - 0.463422i) q^{46} +(5.26364 - 5.26364i) q^{47} +(-3.20690 + 1.85151i) q^{48} +(-5.94601 - 3.69390i) q^{49} +(0.568470 - 0.152321i) q^{50} -7.56802i q^{51} +(-7.01895 - 0.413900i) q^{52} -13.1808 q^{53} +(0.215799 - 0.0578232i) q^{54} +(5.75692 + 3.32376i) q^{55} +(-2.04064 + 1.13463i) q^{56} +(-3.59850 + 3.59850i) q^{57} +(-1.15084 - 0.308366i) q^{58} +(-8.73809 - 2.34136i) q^{59} +(-2.12091 - 2.12091i) q^{60} +(-10.1891 + 5.88266i) q^{61} +(-0.172842 + 0.299371i) q^{62} +(-2.56632 + 0.643420i) q^{63} -6.82688i q^{64} +(-1.11751 - 5.43193i) q^{65} -0.965565i q^{66} +(-1.28138 - 4.78216i) q^{67} +(12.7811 + 7.37915i) q^{68} +(1.07373 + 1.85976i) q^{69} +(-0.632408 - 0.653167i) q^{70} +(-5.25942 - 1.40926i) q^{71} +(-0.228407 + 0.852426i) q^{72} +(8.04396 - 8.04396i) q^{73} +(-0.326766 - 0.565975i) q^{74} +(-1.31713 + 2.28133i) q^{75} +(-2.56854 - 9.58594i) q^{76} +(-0.184619 + 11.4332i) q^{77} +(-0.602133 + 0.535073i) q^{78} +9.06635 q^{79} +(5.50153 - 1.47413i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.159469 + 0.276209i) q^{82} +(1.13072 + 1.13072i) q^{83} +(1.41565 - 4.96143i) q^{84} +(-3.01275 + 11.2437i) q^{85} +(-1.20131 - 1.20131i) q^{86} +(4.61844 - 2.66646i) q^{87} +(3.30308 + 1.90703i) q^{88} +(-0.217351 - 0.811166i) q^{89} -0.343629 q^{90} +(7.23213 - 6.22064i) q^{91} -4.18775 q^{92} +(-0.400469 - 1.49457i) q^{93} +(1.44025 + 0.831529i) q^{94} +(6.77878 - 3.91373i) q^{95} +(-1.83303 - 1.83303i) q^{96} +(-4.35890 + 16.2676i) q^{97} +(0.453324 - 1.49674i) q^{98} +(3.05605 + 3.05605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0578232 + 0.215799i 0.0408872 + 0.152593i 0.983351 0.181714i \(-0.0581645\pi\)
−0.942464 + 0.334307i \(0.891498\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 1.68883 0.975044i 0.844413 0.487522i
\(5\) 1.08760 + 1.08760i 0.486390 + 0.486390i 0.907165 0.420775i \(-0.138242\pi\)
−0.420775 + 0.907165i \(0.638242\pi\)
\(6\) 0.0578232 0.215799i 0.0236062 0.0880997i
\(7\) −0.725943 + 2.54421i −0.274381 + 0.961621i
\(8\) 0.624019 + 0.624019i 0.220624 + 0.220624i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −0.171815 + 0.297592i −0.0543326 + 0.0941068i
\(11\) 4.17464 1.11859i 1.25870 0.337268i 0.433010 0.901389i \(-0.357452\pi\)
0.825692 + 0.564121i \(0.190785\pi\)
\(12\) −1.95009 −0.562942
\(13\) −3.01096 1.98346i −0.835090 0.550113i
\(14\) −0.591015 0.00954346i −0.157955 0.00255060i
\(15\) −0.398089 1.48569i −0.102786 0.383603i
\(16\) 1.85151 3.20690i 0.462877 0.801726i
\(17\) 3.78401 + 6.55410i 0.917757 + 1.58960i 0.802813 + 0.596231i \(0.203336\pi\)
0.114944 + 0.993372i \(0.463331\pi\)
\(18\) −0.157976 + 0.157976i −0.0372353 + 0.0372353i
\(19\) 1.31714 4.91565i 0.302173 1.12773i −0.633178 0.774006i \(-0.718250\pi\)
0.935351 0.353720i \(-0.115084\pi\)
\(20\) 2.89722 + 0.776309i 0.647839 + 0.173588i
\(21\) 1.90079 1.84038i 0.414786 0.401604i
\(22\) 0.482783 + 0.836204i 0.102930 + 0.178279i
\(23\) −1.85976 1.07373i −0.387787 0.223889i 0.293414 0.955985i \(-0.405209\pi\)
−0.681201 + 0.732097i \(0.738542\pi\)
\(24\) −0.228407 0.852426i −0.0466233 0.174001i
\(25\) 2.63425i 0.526850i
\(26\) 0.253926 0.764453i 0.0497989 0.149922i
\(27\) 1.00000i 0.192450i
\(28\) 1.25473 + 5.00455i 0.237121 + 0.945771i
\(29\) −2.66646 + 4.61844i −0.495148 + 0.857622i −0.999984 0.00559304i \(-0.998220\pi\)
0.504836 + 0.863215i \(0.331553\pi\)
\(30\) 0.297592 0.171815i 0.0543326 0.0313689i
\(31\) 1.09410 + 1.09410i 0.196507 + 0.196507i 0.798501 0.601994i \(-0.205627\pi\)
−0.601994 + 0.798501i \(0.705627\pi\)
\(32\) 2.50396 + 0.670934i 0.442642 + 0.118605i
\(33\) −4.17464 1.11859i −0.726712 0.194722i
\(34\) −1.19557 + 1.19557i −0.205038 + 0.205038i
\(35\) −3.55662 + 1.97755i −0.601178 + 0.334267i
\(36\) 1.68883 + 0.975044i 0.281471 + 0.162507i
\(37\) −2.82556 + 0.757106i −0.464519 + 0.124467i −0.483485 0.875353i \(-0.660629\pi\)
0.0189661 + 0.999820i \(0.493963\pi\)
\(38\) 1.13695 0.184438
\(39\) 1.61584 + 3.22321i 0.258741 + 0.516126i
\(40\) 1.35737i 0.214618i
\(41\) 1.37894 0.369486i 0.215354 0.0577039i −0.149529 0.988757i \(-0.547776\pi\)
0.364883 + 0.931053i \(0.381109\pi\)
\(42\) 0.507062 + 0.303772i 0.0782414 + 0.0468731i
\(43\) −6.58558 + 3.80219i −1.00429 + 0.579828i −0.909515 0.415671i \(-0.863547\pi\)
−0.0947764 + 0.995499i \(0.530214\pi\)
\(44\) 5.95956 5.95956i 0.898438 0.898438i
\(45\) −0.398089 + 1.48569i −0.0593436 + 0.221473i
\(46\) 0.124173 0.463422i 0.0183084 0.0683278i
\(47\) 5.26364 5.26364i 0.767781 0.767781i −0.209934 0.977716i \(-0.567325\pi\)
0.977716 + 0.209934i \(0.0673250\pi\)
\(48\) −3.20690 + 1.85151i −0.462877 + 0.267242i
\(49\) −5.94601 3.69390i −0.849431 0.527700i
\(50\) 0.568470 0.152321i 0.0803937 0.0215414i
\(51\) 7.56802i 1.05974i
\(52\) −7.01895 0.413900i −0.973353 0.0573976i
\(53\) −13.1808 −1.81053 −0.905263 0.424851i \(-0.860327\pi\)
−0.905263 + 0.424851i \(0.860327\pi\)
\(54\) 0.215799 0.0578232i 0.0293666 0.00786874i
\(55\) 5.75692 + 3.32376i 0.776263 + 0.448176i
\(56\) −2.04064 + 1.13463i −0.272692 + 0.151622i
\(57\) −3.59850 + 3.59850i −0.476633 + 0.476633i
\(58\) −1.15084 0.308366i −0.151112 0.0404905i
\(59\) −8.73809 2.34136i −1.13760 0.304820i −0.359616 0.933101i \(-0.617092\pi\)
−0.777987 + 0.628281i \(0.783759\pi\)
\(60\) −2.12091 2.12091i −0.273809 0.273809i
\(61\) −10.1891 + 5.88266i −1.30458 + 0.753197i −0.981185 0.193068i \(-0.938156\pi\)
−0.323391 + 0.946266i \(0.604823\pi\)
\(62\) −0.172842 + 0.299371i −0.0219510 + 0.0380202i
\(63\) −2.56632 + 0.643420i −0.323326 + 0.0810633i
\(64\) 6.82688i 0.853360i
\(65\) −1.11751 5.43193i −0.138610 0.673748i
\(66\) 0.965565i 0.118853i
\(67\) −1.28138 4.78216i −0.156545 0.584234i −0.998968 0.0454175i \(-0.985538\pi\)
0.842423 0.538817i \(-0.181128\pi\)
\(68\) 12.7811 + 7.37915i 1.54993 + 0.894854i
\(69\) 1.07373 + 1.85976i 0.129262 + 0.223889i
\(70\) −0.632408 0.653167i −0.0755873 0.0780684i
\(71\) −5.25942 1.40926i −0.624179 0.167248i −0.0671520 0.997743i \(-0.521391\pi\)
−0.557027 + 0.830495i \(0.688058\pi\)
\(72\) −0.228407 + 0.852426i −0.0269180 + 0.100459i
\(73\) 8.04396 8.04396i 0.941474 0.941474i −0.0569055 0.998380i \(-0.518123\pi\)
0.998380 + 0.0569055i \(0.0181234\pi\)
\(74\) −0.326766 0.565975i −0.0379857 0.0657932i
\(75\) −1.31713 + 2.28133i −0.152089 + 0.263425i
\(76\) −2.56854 9.58594i −0.294632 1.09958i
\(77\) −0.184619 + 11.4332i −0.0210392 + 1.30293i
\(78\) −0.602133 + 0.535073i −0.0681781 + 0.0605851i
\(79\) 9.06635 1.02004 0.510022 0.860161i \(-0.329637\pi\)
0.510022 + 0.860161i \(0.329637\pi\)
\(80\) 5.50153 1.47413i 0.615090 0.164813i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 0.159469 + 0.276209i 0.0176104 + 0.0305022i
\(83\) 1.13072 + 1.13072i 0.124113 + 0.124113i 0.766435 0.642322i \(-0.222029\pi\)
−0.642322 + 0.766435i \(0.722029\pi\)
\(84\) 1.41565 4.96143i 0.154460 0.541337i
\(85\) −3.01275 + 11.2437i −0.326778 + 1.21955i
\(86\) −1.20131 1.20131i −0.129540 0.129540i
\(87\) 4.61844 2.66646i 0.495148 0.285874i
\(88\) 3.30308 + 1.90703i 0.352109 + 0.203290i
\(89\) −0.217351 0.811166i −0.0230392 0.0859834i 0.953449 0.301554i \(-0.0975054\pi\)
−0.976488 + 0.215571i \(0.930839\pi\)
\(90\) −0.343629 −0.0362217
\(91\) 7.23213 6.22064i 0.758133 0.652100i
\(92\) −4.18775 −0.436603
\(93\) −0.400469 1.49457i −0.0415267 0.154980i
\(94\) 1.44025 + 0.831529i 0.148551 + 0.0857657i
\(95\) 6.77878 3.91373i 0.695488 0.401540i
\(96\) −1.83303 1.83303i −0.187082 0.187082i
\(97\) −4.35890 + 16.2676i −0.442579 + 1.65173i 0.279672 + 0.960096i \(0.409774\pi\)
−0.722251 + 0.691631i \(0.756892\pi\)
\(98\) 0.453324 1.49674i 0.0457926 0.151193i
\(99\) 3.05605 + 3.05605i 0.307145 + 0.307145i
\(100\) −2.56851 4.44879i −0.256851 0.444879i
\(101\) −5.48585 + 9.50177i −0.545863 + 0.945462i 0.452690 + 0.891668i \(0.350465\pi\)
−0.998552 + 0.0537934i \(0.982869\pi\)
\(102\) 1.63317 0.437607i 0.161708 0.0433296i
\(103\) −4.70231 −0.463332 −0.231666 0.972795i \(-0.574418\pi\)
−0.231666 + 0.972795i \(0.574418\pi\)
\(104\) −0.641180 3.11661i −0.0628728 0.305609i
\(105\) 4.06890 + 0.0657028i 0.397084 + 0.00641194i
\(106\) −0.762158 2.84441i −0.0740274 0.276274i
\(107\) 6.55307 11.3502i 0.633509 1.09727i −0.353320 0.935503i \(-0.614947\pi\)
0.986829 0.161767i \(-0.0517194\pi\)
\(108\) −0.975044 1.68883i −0.0938236 0.162507i
\(109\) −0.872057 + 0.872057i −0.0835279 + 0.0835279i −0.747636 0.664108i \(-0.768811\pi\)
0.664108 + 0.747636i \(0.268811\pi\)
\(110\) −0.384381 + 1.43453i −0.0366493 + 0.136777i
\(111\) 2.82556 + 0.757106i 0.268190 + 0.0718613i
\(112\) 6.81495 + 7.03865i 0.643952 + 0.665090i
\(113\) 6.21370 + 10.7625i 0.584536 + 1.01245i 0.994933 + 0.100539i \(0.0320568\pi\)
−0.410397 + 0.911907i \(0.634610\pi\)
\(114\) −0.984631 0.568477i −0.0922192 0.0532428i
\(115\) −0.854883 3.19047i −0.0797183 0.297513i
\(116\) 10.3996i 0.965583i
\(117\) 0.212247 3.59930i 0.0196222 0.332755i
\(118\) 2.02106i 0.186053i
\(119\) −19.4220 + 4.86942i −1.78041 + 0.446379i
\(120\) 0.678683 1.17551i 0.0619550 0.107309i
\(121\) 6.65011 3.83944i 0.604556 0.349040i
\(122\) −1.85864 1.85864i −0.168273 0.168273i
\(123\) −1.37894 0.369486i −0.124335 0.0333154i
\(124\) 2.91455 + 0.780950i 0.261734 + 0.0701314i
\(125\) 8.30301 8.30301i 0.742644 0.742644i
\(126\) −0.287243 0.516606i −0.0255896 0.0460229i
\(127\) 5.51334 + 3.18313i 0.489230 + 0.282457i 0.724255 0.689532i \(-0.242184\pi\)
−0.235025 + 0.971989i \(0.575517\pi\)
\(128\) 6.48115 1.73662i 0.572858 0.153497i
\(129\) 7.60437 0.669528
\(130\) 1.10759 0.555250i 0.0971420 0.0486986i
\(131\) 3.73498i 0.326327i −0.986599 0.163163i \(-0.947830\pi\)
0.986599 0.163163i \(-0.0521698\pi\)
\(132\) −8.14092 + 2.18135i −0.708576 + 0.189862i
\(133\) 11.5503 + 6.91957i 1.00154 + 0.600003i
\(134\) 0.957894 0.553040i 0.0827494 0.0477754i
\(135\) 1.08760 1.08760i 0.0936057 0.0936057i
\(136\) −1.72859 + 6.45118i −0.148225 + 0.553184i
\(137\) 0.00793713 0.0296218i 0.000678115 0.00253076i −0.965586 0.260084i \(-0.916250\pi\)
0.966264 + 0.257553i \(0.0829163\pi\)
\(138\) −0.339248 + 0.339248i −0.0288787 + 0.0288787i
\(139\) 2.85559 1.64867i 0.242208 0.139839i −0.373983 0.927435i \(-0.622008\pi\)
0.616191 + 0.787597i \(0.288675\pi\)
\(140\) −4.07831 + 6.80759i −0.344680 + 0.575346i
\(141\) −7.19027 + 1.92663i −0.605530 + 0.162251i
\(142\) 1.21647i 0.102084i
\(143\) −14.7884 4.91220i −1.23667 0.410779i
\(144\) 3.70301 0.308585
\(145\) −7.92305 + 2.12297i −0.657974 + 0.176303i
\(146\) 2.20101 + 1.27075i 0.182157 + 0.105168i
\(147\) 3.30245 + 6.17202i 0.272381 + 0.509060i
\(148\) −4.03366 + 4.03366i −0.331565 + 0.331565i
\(149\) 4.52646 + 1.21286i 0.370822 + 0.0993615i 0.439417 0.898283i \(-0.355185\pi\)
−0.0685950 + 0.997645i \(0.521852\pi\)
\(150\) −0.568470 0.152321i −0.0464153 0.0124370i
\(151\) −4.74970 4.74970i −0.386525 0.386525i 0.486921 0.873446i \(-0.338120\pi\)
−0.873446 + 0.486921i \(0.838120\pi\)
\(152\) 3.88938 2.24553i 0.315470 0.182137i
\(153\) −3.78401 + 6.55410i −0.305919 + 0.529868i
\(154\) −2.47795 + 0.621264i −0.199679 + 0.0500629i
\(155\) 2.37989i 0.191158i
\(156\) 5.87164 + 3.86792i 0.470107 + 0.309682i
\(157\) 17.1115i 1.36565i −0.730584 0.682823i \(-0.760752\pi\)
0.730584 0.682823i \(-0.239248\pi\)
\(158\) 0.524246 + 1.95651i 0.0417068 + 0.155652i
\(159\) 11.4149 + 6.59042i 0.905263 + 0.522654i
\(160\) 1.99360 + 3.45301i 0.157608 + 0.272985i
\(161\) 4.08188 3.95215i 0.321697 0.311473i
\(162\) −0.215799 0.0578232i −0.0169548 0.00454302i
\(163\) 5.05271 18.8570i 0.395759 1.47699i −0.424726 0.905322i \(-0.639630\pi\)
0.820484 0.571669i \(-0.193704\pi\)
\(164\) 1.96852 1.96852i 0.153716 0.153716i
\(165\) −3.32376 5.75692i −0.258754 0.448176i
\(166\) −0.178627 + 0.309390i −0.0138641 + 0.0240134i
\(167\) −3.66374 13.6733i −0.283508 1.05807i −0.949922 0.312486i \(-0.898838\pi\)
0.666414 0.745582i \(-0.267828\pi\)
\(168\) 2.33456 + 0.0376975i 0.180115 + 0.00290843i
\(169\) 5.13177 + 11.9442i 0.394751 + 0.918788i
\(170\) −2.60060 −0.199457
\(171\) 4.91565 1.31714i 0.375909 0.100724i
\(172\) −7.41460 + 12.8425i −0.565358 + 0.979228i
\(173\) −9.66072 16.7329i −0.734491 1.27218i −0.954946 0.296778i \(-0.904088\pi\)
0.220456 0.975397i \(-0.429246\pi\)
\(174\) 0.842472 + 0.842472i 0.0638676 + 0.0638676i
\(175\) 6.70209 + 1.91232i 0.506631 + 0.144558i
\(176\) 4.14216 15.4588i 0.312227 1.16525i
\(177\) 6.39672 + 6.39672i 0.480807 + 0.480807i
\(178\) 0.162481 0.0938085i 0.0121785 0.00703124i
\(179\) 3.56116 + 2.05604i 0.266173 + 0.153675i 0.627147 0.778901i \(-0.284222\pi\)
−0.360974 + 0.932576i \(0.617556\pi\)
\(180\) 0.776309 + 2.89722i 0.0578626 + 0.215946i
\(181\) 2.09652 0.155833 0.0779165 0.996960i \(-0.475173\pi\)
0.0779165 + 0.996960i \(0.475173\pi\)
\(182\) 1.76059 + 1.20099i 0.130504 + 0.0890233i
\(183\) 11.7653 0.869717
\(184\) −0.490496 1.83056i −0.0361598 0.134950i
\(185\) −3.89650 2.24965i −0.286477 0.165397i
\(186\) 0.299371 0.172842i 0.0219510 0.0126734i
\(187\) 23.1283 + 23.1283i 1.69131 + 1.69131i
\(188\) 3.75709 14.0217i 0.274014 1.02263i
\(189\) 2.54421 + 0.725943i 0.185064 + 0.0528046i
\(190\) 1.23655 + 1.23655i 0.0897089 + 0.0897089i
\(191\) 4.22074 + 7.31054i 0.305402 + 0.528972i 0.977351 0.211626i \(-0.0678758\pi\)
−0.671949 + 0.740598i \(0.734542\pi\)
\(192\) −3.41344 + 5.91225i −0.246344 + 0.426680i
\(193\) 1.96647 0.526915i 0.141550 0.0379282i −0.187348 0.982294i \(-0.559989\pi\)
0.328898 + 0.944365i \(0.393323\pi\)
\(194\) −3.76259 −0.270138
\(195\) −1.74818 + 5.26295i −0.125189 + 0.376887i
\(196\) −13.6435 0.440734i −0.974535 0.0314810i
\(197\) 3.46988 + 12.9498i 0.247219 + 0.922632i 0.972255 + 0.233922i \(0.0751561\pi\)
−0.725037 + 0.688710i \(0.758177\pi\)
\(198\) −0.482783 + 0.836204i −0.0343099 + 0.0594264i
\(199\) 3.76822 + 6.52675i 0.267122 + 0.462669i 0.968117 0.250497i \(-0.0805940\pi\)
−0.700995 + 0.713166i \(0.747261\pi\)
\(200\) 1.64382 1.64382i 0.116236 0.116236i
\(201\) −1.28138 + 4.78216i −0.0903814 + 0.337308i
\(202\) −2.36768 0.634419i −0.166590 0.0446376i
\(203\) −9.81458 10.1367i −0.688849 0.711460i
\(204\) −7.37915 12.7811i −0.516644 0.894854i
\(205\) 1.90159 + 1.09788i 0.132813 + 0.0766794i
\(206\) −0.271903 1.01475i −0.0189444 0.0707013i
\(207\) 2.14747i 0.149259i
\(208\) −11.9356 + 5.98347i −0.827584 + 0.414879i
\(209\) 21.9944i 1.52139i
\(210\) 0.221098 + 0.881864i 0.0152572 + 0.0608544i
\(211\) 8.48310 14.6932i 0.584001 1.01152i −0.410998 0.911636i \(-0.634820\pi\)
0.994999 0.0998830i \(-0.0318469\pi\)
\(212\) −22.2601 + 12.8519i −1.52883 + 0.882671i
\(213\) 3.85017 + 3.85017i 0.263809 + 0.263809i
\(214\) 2.82829 + 0.757839i 0.193338 + 0.0518048i
\(215\) −11.2977 3.02722i −0.770499 0.206455i
\(216\) 0.624019 0.624019i 0.0424591 0.0424591i
\(217\) −3.57788 + 1.98937i −0.242883 + 0.135047i
\(218\) −0.238614 0.137764i −0.0161610 0.00933056i
\(219\) −10.9883 + 2.94429i −0.742517 + 0.198957i
\(220\) 12.9632 0.873982
\(221\) 1.60629 27.2396i 0.108051 1.83233i
\(222\) 0.653531i 0.0438622i
\(223\) −12.1895 + 3.26617i −0.816269 + 0.218719i −0.642715 0.766106i \(-0.722192\pi\)
−0.173555 + 0.984824i \(0.555525\pi\)
\(224\) −3.52473 + 5.88354i −0.235506 + 0.393111i
\(225\) 2.28133 1.31713i 0.152089 0.0878084i
\(226\) −1.96323 + 1.96323i −0.130592 + 0.130592i
\(227\) −5.09212 + 19.0040i −0.337976 + 1.26134i 0.562631 + 0.826708i \(0.309789\pi\)
−0.900607 + 0.434635i \(0.856878\pi\)
\(228\) −2.56854 + 9.58594i −0.170106 + 0.634844i
\(229\) 19.8246 19.8246i 1.31004 1.31004i 0.388666 0.921379i \(-0.372936\pi\)
0.921379 0.388666i \(-0.127064\pi\)
\(230\) 0.639068 0.368966i 0.0421389 0.0243289i
\(231\) 5.87649 9.80913i 0.386644 0.645394i
\(232\) −4.54591 + 1.21807i −0.298454 + 0.0799704i
\(233\) 10.8900i 0.713427i 0.934214 + 0.356714i \(0.116103\pi\)
−0.934214 + 0.356714i \(0.883897\pi\)
\(234\) 0.788999 0.162320i 0.0515785 0.0106112i
\(235\) 11.4495 0.746882
\(236\) −17.0400 + 4.56586i −1.10921 + 0.297212i
\(237\) −7.85169 4.53318i −0.510022 0.294461i
\(238\) −2.17386 3.90968i −0.140910 0.253427i
\(239\) −10.0403 + 10.0403i −0.649451 + 0.649451i −0.952860 0.303409i \(-0.901875\pi\)
0.303409 + 0.952860i \(0.401875\pi\)
\(240\) −5.50153 1.47413i −0.355122 0.0951547i
\(241\) 15.1305 + 4.05421i 0.974642 + 0.261155i 0.710787 0.703408i \(-0.248339\pi\)
0.263856 + 0.964562i \(0.415006\pi\)
\(242\) 1.21308 + 1.21308i 0.0779797 + 0.0779797i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −11.4717 + 19.8696i −0.734400 + 1.27202i
\(245\) −2.44940 10.4844i −0.156486 0.669822i
\(246\) 0.318939i 0.0203348i
\(247\) −13.7159 + 12.1883i −0.872719 + 0.775524i
\(248\) 1.36548i 0.0867082i
\(249\) −0.413872 1.54459i −0.0262281 0.0978846i
\(250\) 2.27189 + 1.31168i 0.143687 + 0.0829577i
\(251\) 10.7847 + 18.6797i 0.680727 + 1.17905i 0.974759 + 0.223258i \(0.0716692\pi\)
−0.294033 + 0.955795i \(0.594997\pi\)
\(252\) −3.70671 + 3.58890i −0.233501 + 0.226079i
\(253\) −8.96490 2.40214i −0.563619 0.151021i
\(254\) −0.368118 + 1.37383i −0.0230977 + 0.0862020i
\(255\) 8.23098 8.23098i 0.515444 0.515444i
\(256\) −6.07736 10.5263i −0.379835 0.657893i
\(257\) −1.05953 + 1.83517i −0.0660920 + 0.114475i −0.897178 0.441669i \(-0.854386\pi\)
0.831086 + 0.556144i \(0.187720\pi\)
\(258\) 0.439709 + 1.64102i 0.0273751 + 0.102165i
\(259\) 0.124957 7.73843i 0.00776444 0.480843i
\(260\) −7.18365 8.08396i −0.445511 0.501346i
\(261\) −5.33291 −0.330099
\(262\) 0.806006 0.215969i 0.0497952 0.0133426i
\(263\) 5.53188 9.58150i 0.341111 0.590821i −0.643529 0.765422i \(-0.722530\pi\)
0.984639 + 0.174601i \(0.0558636\pi\)
\(264\) −1.90703 3.30308i −0.117370 0.203290i
\(265\) −14.3355 14.3355i −0.880621 0.880621i
\(266\) −0.825364 + 2.89265i −0.0506063 + 0.177360i
\(267\) −0.217351 + 0.811166i −0.0133017 + 0.0496425i
\(268\) −6.82684 6.82684i −0.417016 0.417016i
\(269\) −23.8459 + 13.7675i −1.45391 + 0.839416i −0.998700 0.0509670i \(-0.983770\pi\)
−0.455211 + 0.890383i \(0.650436\pi\)
\(270\) 0.297592 + 0.171815i 0.0181109 + 0.0104563i
\(271\) −3.80218 14.1899i −0.230966 0.861978i −0.979926 0.199362i \(-0.936113\pi\)
0.748960 0.662616i \(-0.230554\pi\)
\(272\) 28.0245 1.69923
\(273\) −9.37352 + 1.77117i −0.567312 + 0.107196i
\(274\) 0.00685131 0.000413903
\(275\) −2.94665 10.9971i −0.177690 0.663148i
\(276\) 3.62669 + 2.09387i 0.218301 + 0.126036i
\(277\) 4.50623 2.60167i 0.270753 0.156319i −0.358477 0.933539i \(-0.616704\pi\)
0.629230 + 0.777219i \(0.283370\pi\)
\(278\) 0.520902 + 0.520902i 0.0312416 + 0.0312416i
\(279\) −0.400469 + 1.49457i −0.0239755 + 0.0894777i
\(280\) −3.45343 0.985370i −0.206382 0.0588871i
\(281\) −10.7634 10.7634i −0.642088 0.642088i 0.308980 0.951068i \(-0.400012\pi\)
−0.951068 + 0.308980i \(0.900012\pi\)
\(282\) −0.831529 1.44025i −0.0495168 0.0857657i
\(283\) 2.03356 3.52223i 0.120882 0.209375i −0.799233 0.601021i \(-0.794761\pi\)
0.920116 + 0.391646i \(0.128094\pi\)
\(284\) −10.2563 + 2.74818i −0.608601 + 0.163074i
\(285\) −7.82746 −0.463659
\(286\) 0.204938 3.47536i 0.0121183 0.205502i
\(287\) −0.0609819 + 3.77654i −0.00359965 + 0.222922i
\(288\) 0.670934 + 2.50396i 0.0395352 + 0.147547i
\(289\) −20.1375 + 34.8791i −1.18456 + 2.05171i
\(290\) −0.916273 1.58703i −0.0538054 0.0931937i
\(291\) 11.9087 11.9087i 0.698102 0.698102i
\(292\) 5.74163 21.4280i 0.336003 1.25398i
\(293\) 21.3183 + 5.71221i 1.24543 + 0.333711i 0.820568 0.571549i \(-0.193657\pi\)
0.424858 + 0.905260i \(0.360324\pi\)
\(294\) −1.14096 + 1.06955i −0.0665421 + 0.0623775i
\(295\) −6.95708 12.0500i −0.405057 0.701579i
\(296\) −2.23565 1.29075i −0.129944 0.0750235i
\(297\) −1.11859 4.17464i −0.0649073 0.242237i
\(298\) 1.04694i 0.0606475i
\(299\) 3.46996 + 6.92173i 0.200673 + 0.400294i
\(300\) 5.13702i 0.296586i
\(301\) −4.89281 19.5153i −0.282017 1.12484i
\(302\) 0.750339 1.29962i 0.0431771 0.0747850i
\(303\) 9.50177 5.48585i 0.545863 0.315154i
\(304\) −13.3253 13.3253i −0.764259 0.764259i
\(305\) −17.4796 4.68365i −1.00088 0.268185i
\(306\) −1.63317 0.437607i −0.0933623 0.0250164i
\(307\) −9.60326 + 9.60326i −0.548087 + 0.548087i −0.925887 0.377800i \(-0.876681\pi\)
0.377800 + 0.925887i \(0.376681\pi\)
\(308\) 10.8361 + 19.4887i 0.617443 + 1.11047i
\(309\) 4.07232 + 2.35115i 0.231666 + 0.133753i
\(310\) −0.513579 + 0.137613i −0.0291693 + 0.00781590i
\(311\) −16.2194 −0.919715 −0.459858 0.887993i \(-0.652100\pi\)
−0.459858 + 0.887993i \(0.652100\pi\)
\(312\) −1.00303 + 3.01966i −0.0567853 + 0.170954i
\(313\) 24.2234i 1.36919i 0.728926 + 0.684593i \(0.240020\pi\)
−0.728926 + 0.684593i \(0.759980\pi\)
\(314\) 3.69265 0.989442i 0.208388 0.0558375i
\(315\) −3.49092 2.09135i −0.196691 0.117834i
\(316\) 15.3115 8.84009i 0.861338 0.497294i
\(317\) −18.9182 + 18.9182i −1.06255 + 1.06255i −0.0646418 + 0.997909i \(0.520590\pi\)
−0.997909 + 0.0646418i \(0.979410\pi\)
\(318\) −0.762158 + 2.84441i −0.0427397 + 0.159507i
\(319\) −5.96535 + 22.2630i −0.333996 + 1.24649i
\(320\) 7.42492 7.42492i 0.415065 0.415065i
\(321\) −11.3502 + 6.55307i −0.633509 + 0.365757i
\(322\) 1.08890 + 0.652341i 0.0606820 + 0.0363535i
\(323\) 37.2017 9.96817i 2.06996 0.554644i
\(324\) 1.95009i 0.108338i
\(325\) −5.22494 + 7.93163i −0.289827 + 0.439968i
\(326\) 4.36148 0.241560
\(327\) 1.19125 0.319195i 0.0658764 0.0176515i
\(328\) 1.09105 + 0.629918i 0.0602432 + 0.0347814i
\(329\) 9.57071 + 17.2129i 0.527650 + 0.948979i
\(330\) 1.05015 1.05015i 0.0578088 0.0578088i
\(331\) 13.9589 + 3.74029i 0.767253 + 0.205585i 0.621157 0.783686i \(-0.286663\pi\)
0.146095 + 0.989271i \(0.453329\pi\)
\(332\) 3.01209 + 0.807087i 0.165310 + 0.0442947i
\(333\) −2.06845 2.06845i −0.113350 0.113350i
\(334\) 2.73883 1.58126i 0.149862 0.0865229i
\(335\) 3.80746 6.59471i 0.208024 0.360307i
\(336\) −2.38259 9.50313i −0.129981 0.518438i
\(337\) 5.15524i 0.280824i −0.990093 0.140412i \(-0.955157\pi\)
0.990093 0.140412i \(-0.0448426\pi\)
\(338\) −2.28082 + 1.79809i −0.124060 + 0.0978030i
\(339\) 12.4274i 0.674964i
\(340\) 5.87512 + 21.9263i 0.318623 + 1.18912i
\(341\) 5.79134 + 3.34363i 0.313619 + 0.181068i
\(342\) 0.568477 + 0.984631i 0.0307397 + 0.0532428i
\(343\) 13.7145 12.4463i 0.740515 0.672040i
\(344\) −6.48216 1.73689i −0.349495 0.0936469i
\(345\) −0.854883 + 3.19047i −0.0460254 + 0.171769i
\(346\) 3.05232 3.05232i 0.164094 0.164094i
\(347\) 11.9012 + 20.6134i 0.638888 + 1.10659i 0.985677 + 0.168643i \(0.0539385\pi\)
−0.346789 + 0.937943i \(0.612728\pi\)
\(348\) 5.19982 9.00636i 0.278740 0.482791i
\(349\) 3.16538 + 11.8134i 0.169439 + 0.632355i 0.997432 + 0.0716166i \(0.0228158\pi\)
−0.827993 + 0.560738i \(0.810518\pi\)
\(350\) −0.0251399 + 1.55688i −0.00134378 + 0.0832189i
\(351\) −1.98346 + 3.01096i −0.105869 + 0.160713i
\(352\) 11.2036 0.597156
\(353\) 16.5186 4.42614i 0.879196 0.235580i 0.209136 0.977887i \(-0.432935\pi\)
0.670060 + 0.742307i \(0.266268\pi\)
\(354\) −1.01053 + 1.75029i −0.0537090 + 0.0930267i
\(355\) −4.18744 7.25286i −0.222246 0.384942i
\(356\) −1.15799 1.15799i −0.0613734 0.0613734i
\(357\) 19.2546 + 5.49395i 1.01906 + 0.290771i
\(358\) −0.237773 + 0.887382i −0.0125667 + 0.0468996i
\(359\) 14.6210 + 14.6210i 0.771665 + 0.771665i 0.978397 0.206733i \(-0.0662831\pi\)
−0.206733 + 0.978397i \(0.566283\pi\)
\(360\) −1.17551 + 0.678683i −0.0619550 + 0.0357697i
\(361\) −5.97423 3.44922i −0.314433 0.181538i
\(362\) 0.121228 + 0.452427i 0.00637158 + 0.0237790i
\(363\) −7.67889 −0.403037
\(364\) 6.14840 17.5572i 0.322264 0.920248i
\(365\) 17.4972 0.915846
\(366\) 0.680309 + 2.53895i 0.0355603 + 0.132713i
\(367\) −0.401157 0.231608i −0.0209402 0.0120898i 0.489493 0.872007i \(-0.337182\pi\)
−0.510434 + 0.859917i \(0.670515\pi\)
\(368\) −6.88672 + 3.97605i −0.358995 + 0.207266i
\(369\) 1.00945 + 1.00945i 0.0525500 + 0.0525500i
\(370\) 0.260164 0.970945i 0.0135253 0.0504770i
\(371\) 9.56853 33.5348i 0.496774 1.74104i
\(372\) −2.13360 2.13360i −0.110622 0.110622i
\(373\) −0.348917 0.604342i −0.0180662 0.0312916i 0.856851 0.515564i \(-0.172418\pi\)
−0.874917 + 0.484273i \(0.839084\pi\)
\(374\) −3.65371 + 6.32841i −0.188929 + 0.327234i
\(375\) −11.3421 + 3.03911i −0.585705 + 0.156939i
\(376\) 6.56923 0.338782
\(377\) 17.1891 8.61712i 0.885283 0.443804i
\(378\) −0.00954346 + 0.591015i −0.000490863 + 0.0303985i
\(379\) 1.85118 + 6.90871i 0.0950889 + 0.354877i 0.997033 0.0769763i \(-0.0245266\pi\)
−0.901944 + 0.431853i \(0.857860\pi\)
\(380\) 7.63212 13.2192i 0.391519 0.678132i
\(381\) −3.18313 5.51334i −0.163077 0.282457i
\(382\) −1.33355 + 1.33355i −0.0682305 + 0.0682305i
\(383\) −0.496583 + 1.85327i −0.0253742 + 0.0946979i −0.977452 0.211159i \(-0.932276\pi\)
0.952078 + 0.305857i \(0.0989429\pi\)
\(384\) −6.48115 1.73662i −0.330740 0.0886215i
\(385\) −12.6355 + 12.2340i −0.643967 + 0.623500i
\(386\) 0.227416 + 0.393895i 0.0115751 + 0.0200487i
\(387\) −6.58558 3.80219i −0.334764 0.193276i
\(388\) 8.50023 + 31.7233i 0.431534 + 1.61051i
\(389\) 6.17075i 0.312870i 0.987688 + 0.156435i \(0.0500001\pi\)
−0.987688 + 0.156435i \(0.950000\pi\)
\(390\) −1.23682 0.0729343i −0.0626291 0.00369317i
\(391\) 16.2521i 0.821903i
\(392\) −1.40536 6.01549i −0.0709814 0.303828i
\(393\) −1.86749 + 3.23459i −0.0942025 + 0.163163i
\(394\) −2.59391 + 1.49759i −0.130679 + 0.0754477i
\(395\) 9.86057 + 9.86057i 0.496139 + 0.496139i
\(396\) 8.14092 + 2.18135i 0.409096 + 0.109617i
\(397\) −30.1243 8.07177i −1.51189 0.405111i −0.594830 0.803852i \(-0.702780\pi\)
−0.917063 + 0.398741i \(0.869447\pi\)
\(398\) −1.19058 + 1.19058i −0.0596782 + 0.0596782i
\(399\) −6.54304 11.7677i −0.327562 0.589120i
\(400\) −8.44780 4.87734i −0.422390 0.243867i
\(401\) 24.2526 6.49846i 1.21112 0.324517i 0.403916 0.914796i \(-0.367649\pi\)
0.807199 + 0.590279i \(0.200982\pi\)
\(402\) −1.10608 −0.0551663
\(403\) −1.12419 5.46441i −0.0559999 0.272202i
\(404\) 21.3958i 1.06448i
\(405\) −1.48569 + 0.398089i −0.0738245 + 0.0197812i
\(406\) 1.61999 2.70412i 0.0803988 0.134203i
\(407\) −10.9488 + 6.32129i −0.542712 + 0.313335i
\(408\) 4.72259 4.72259i 0.233803 0.233803i
\(409\) 3.92450 14.6464i 0.194054 0.724219i −0.798456 0.602053i \(-0.794349\pi\)
0.992510 0.122165i \(-0.0389838\pi\)
\(410\) −0.126966 + 0.473844i −0.00627041 + 0.0234015i
\(411\) −0.0216847 + 0.0216847i −0.00106963 + 0.00106963i
\(412\) −7.94138 + 4.58496i −0.391244 + 0.225885i
\(413\) 12.3003 20.5318i 0.605257 1.01031i
\(414\) 0.463422 0.124173i 0.0227759 0.00610279i
\(415\) 2.45954i 0.120734i
\(416\) −6.20855 6.98666i −0.304399 0.342549i
\(417\) −3.29735 −0.161472
\(418\) 4.74638 1.27179i 0.232153 0.0622052i
\(419\) 3.99149 + 2.30449i 0.194997 + 0.112582i 0.594320 0.804229i \(-0.297421\pi\)
−0.399323 + 0.916810i \(0.630755\pi\)
\(420\) 6.93572 3.85639i 0.338428 0.188173i
\(421\) 12.6437 12.6437i 0.616216 0.616216i −0.328342 0.944559i \(-0.606490\pi\)
0.944559 + 0.328342i \(0.106490\pi\)
\(422\) 3.66129 + 0.981041i 0.178229 + 0.0477563i
\(423\) 7.19027 + 1.92663i 0.349603 + 0.0936758i
\(424\) −8.22509 8.22509i −0.399446 0.399446i
\(425\) 17.2652 9.96804i 0.837483 0.483521i
\(426\) −0.608234 + 1.05349i −0.0294690 + 0.0510418i
\(427\) −7.57004 30.1936i −0.366340 1.46117i
\(428\) 25.5581i 1.23540i
\(429\) 10.3510 + 11.6483i 0.499751 + 0.562384i
\(430\) 2.61309i 0.126014i
\(431\) 2.12448 + 7.92867i 0.102333 + 0.381911i 0.998029 0.0627557i \(-0.0199889\pi\)
−0.895696 + 0.444666i \(0.853322\pi\)
\(432\) −3.20690 1.85151i −0.154292 0.0890807i
\(433\) 8.67779 + 15.0304i 0.417028 + 0.722314i 0.995639 0.0932901i \(-0.0297384\pi\)
−0.578611 + 0.815604i \(0.696405\pi\)
\(434\) −0.636190 0.657073i −0.0305381 0.0315405i
\(435\) 7.92305 + 2.12297i 0.379881 + 0.101789i
\(436\) −0.622458 + 2.32305i −0.0298103 + 0.111254i
\(437\) −7.72766 + 7.72766i −0.369664 + 0.369664i
\(438\) −1.27075 2.20101i −0.0607189 0.105168i
\(439\) −7.78946 + 13.4917i −0.371771 + 0.643926i −0.989838 0.142199i \(-0.954583\pi\)
0.618067 + 0.786125i \(0.287916\pi\)
\(440\) 1.51834 + 5.66652i 0.0723840 + 0.270141i
\(441\) 0.226007 6.99635i 0.0107622 0.333160i
\(442\) 5.97116 1.22844i 0.284019 0.0584311i
\(443\) −30.0278 −1.42667 −0.713333 0.700825i \(-0.752815\pi\)
−0.713333 + 0.700825i \(0.752815\pi\)
\(444\) 5.51008 1.47642i 0.261497 0.0700679i
\(445\) 0.645833 1.11862i 0.0306154 0.0530274i
\(446\) −1.40967 2.44162i −0.0667499 0.115614i
\(447\) −3.31360 3.31360i −0.156728 0.156728i
\(448\) 17.3690 + 4.95593i 0.820609 + 0.234145i
\(449\) 1.79908 6.71427i 0.0849040 0.316866i −0.910392 0.413747i \(-0.864220\pi\)
0.995296 + 0.0968807i \(0.0308865\pi\)
\(450\) 0.416149 + 0.416149i 0.0196174 + 0.0196174i
\(451\) 5.34327 3.08494i 0.251605 0.145264i
\(452\) 20.9877 + 12.1173i 0.987179 + 0.569948i
\(453\) 1.73851 + 6.48821i 0.0816824 + 0.304843i
\(454\) −4.39550 −0.206291
\(455\) 14.6312 + 1.10009i 0.685923 + 0.0515732i
\(456\) −4.49107 −0.210314
\(457\) 5.76514 + 21.5158i 0.269682 + 1.00647i 0.959322 + 0.282314i \(0.0911020\pi\)
−0.689640 + 0.724152i \(0.742231\pi\)
\(458\) 5.42445 + 3.13181i 0.253468 + 0.146340i
\(459\) 6.55410 3.78401i 0.305919 0.176623i
\(460\) −4.55459 4.55459i −0.212359 0.212359i
\(461\) −3.01705 + 11.2598i −0.140518 + 0.524420i 0.859396 + 0.511311i \(0.170840\pi\)
−0.999914 + 0.0131099i \(0.995827\pi\)
\(462\) 2.45660 + 0.700945i 0.114291 + 0.0326109i
\(463\) 16.6774 + 16.6774i 0.775063 + 0.775063i 0.978987 0.203924i \(-0.0653694\pi\)
−0.203924 + 0.978987i \(0.565369\pi\)
\(464\) 9.87392 + 17.1021i 0.458385 + 0.793947i
\(465\) 1.18995 2.06105i 0.0551824 0.0955788i
\(466\) −2.35005 + 0.629695i −0.108864 + 0.0291700i
\(467\) −17.0336 −0.788223 −0.394111 0.919063i \(-0.628948\pi\)
−0.394111 + 0.919063i \(0.628948\pi\)
\(468\) −3.15103 6.28554i −0.145656 0.290549i
\(469\) 13.0970 + 0.211485i 0.604765 + 0.00976549i
\(470\) 0.662046 + 2.47079i 0.0305379 + 0.113969i
\(471\) −8.55575 + 14.8190i −0.394228 + 0.682823i
\(472\) −3.99168 6.91379i −0.183732 0.318233i
\(473\) −23.2393 + 23.2393i −1.06855 + 1.06855i
\(474\) 0.524246 1.95651i 0.0240794 0.0898656i
\(475\) −12.9491 3.46969i −0.594143 0.159200i
\(476\) −28.0524 + 27.1609i −1.28578 + 1.24492i
\(477\) −6.59042 11.4149i −0.301754 0.522654i
\(478\) −2.74724 1.58612i −0.125656 0.0725475i
\(479\) 8.69175 + 32.4380i 0.397136 + 1.48213i 0.818111 + 0.575060i \(0.195021\pi\)
−0.420976 + 0.907072i \(0.638312\pi\)
\(480\) 3.98720i 0.181990i
\(481\) 10.0093 + 3.32477i 0.456386 + 0.151596i
\(482\) 3.49958i 0.159402i
\(483\) −5.51109 + 1.38172i −0.250763 + 0.0628706i
\(484\) 7.48725 12.9683i 0.340330 0.589468i
\(485\) −22.4334 + 12.9519i −1.01865 + 0.588117i
\(486\) 0.157976 + 0.157976i 0.00716594 + 0.00716594i
\(487\) −3.78357 1.01381i −0.171450 0.0459399i 0.172073 0.985084i \(-0.444954\pi\)
−0.343523 + 0.939144i \(0.611620\pi\)
\(488\) −10.0291 2.68728i −0.453994 0.121647i
\(489\) −13.8043 + 13.8043i −0.624250 + 0.624250i
\(490\) 2.12089 1.13482i 0.0958119 0.0512659i
\(491\) −6.15458 3.55335i −0.277752 0.160360i 0.354653 0.934998i \(-0.384599\pi\)
−0.632405 + 0.774638i \(0.717932\pi\)
\(492\) −2.68905 + 0.720529i −0.121232 + 0.0324840i
\(493\) −40.3596 −1.81770
\(494\) −3.42332 2.25510i −0.154023 0.101462i
\(495\) 6.64752i 0.298784i
\(496\) 5.53442 1.48294i 0.248503 0.0665861i
\(497\) 7.40349 12.3580i 0.332092 0.554334i
\(498\) 0.309390 0.178627i 0.0138641 0.00800445i
\(499\) 5.42530 5.42530i 0.242870 0.242870i −0.575167 0.818036i \(-0.695063\pi\)
0.818036 + 0.575167i \(0.195063\pi\)
\(500\) 5.92654 22.1181i 0.265043 0.989153i
\(501\) −3.66374 + 13.6733i −0.163684 + 0.610876i
\(502\) −3.40746 + 3.40746i −0.152082 + 0.152082i
\(503\) 11.4527 6.61222i 0.510651 0.294824i −0.222450 0.974944i \(-0.571406\pi\)
0.733101 + 0.680120i \(0.238072\pi\)
\(504\) −2.00294 1.19993i −0.0892180 0.0534490i
\(505\) −16.3005 + 4.36772i −0.725364 + 0.194361i
\(506\) 2.07352i 0.0921792i
\(507\) 1.52788 12.9099i 0.0678555 0.573349i
\(508\) 12.4148 0.550816
\(509\) 38.3913 10.2869i 1.70167 0.455960i 0.728308 0.685250i \(-0.240307\pi\)
0.973358 + 0.229290i \(0.0736405\pi\)
\(510\) 2.25218 + 1.30030i 0.0997283 + 0.0575781i
\(511\) 14.6261 + 26.3050i 0.647019 + 1.16366i
\(512\) 11.4092 11.4092i 0.504221 0.504221i
\(513\) −4.91565 1.31714i −0.217031 0.0581533i
\(514\) −0.457294 0.122531i −0.0201704 0.00540463i
\(515\) −5.11423 5.11423i −0.225360 0.225360i
\(516\) 12.8425 7.41460i 0.565358 0.326409i
\(517\) 16.0860 27.8617i 0.707460 1.22536i
\(518\) 1.67717 0.420495i 0.0736907 0.0184755i
\(519\) 19.3214i 0.848117i
\(520\) 2.69228 4.08698i 0.118064 0.179226i
\(521\) 9.34550i 0.409434i −0.978821 0.204717i \(-0.934373\pi\)
0.978821 0.204717i \(-0.0656274\pi\)
\(522\) −0.308366 1.15084i −0.0134968 0.0503708i
\(523\) −16.9149 9.76580i −0.739635 0.427028i 0.0823016 0.996607i \(-0.473773\pi\)
−0.821937 + 0.569579i \(0.807106\pi\)
\(524\) −3.64177 6.30773i −0.159091 0.275554i
\(525\) −4.84802 5.00716i −0.211585 0.218530i
\(526\) 2.38755 + 0.639743i 0.104102 + 0.0278941i
\(527\) −3.03076 + 11.3110i −0.132022 + 0.492713i
\(528\) −11.3166 + 11.3166i −0.492492 + 0.492492i
\(529\) −9.19419 15.9248i −0.399748 0.692383i
\(530\) 2.26466 3.92251i 0.0983706 0.170383i
\(531\) −2.34136 8.73809i −0.101607 0.379201i
\(532\) 26.2533 + 0.423927i 1.13822 + 0.0183796i
\(533\) −4.88479 1.62256i −0.211584 0.0702811i
\(534\) −0.187617 −0.00811898
\(535\) 19.4716 5.21741i 0.841833 0.225568i
\(536\) 2.18456 3.78376i 0.0943585 0.163434i
\(537\) −2.05604 3.56116i −0.0887245 0.153675i
\(538\) −4.34985 4.34985i −0.187536 0.187536i
\(539\) −28.9545 8.76956i −1.24716 0.377732i
\(540\) 0.776309 2.89722i 0.0334070 0.124677i
\(541\) −0.184083 0.184083i −0.00791436 0.00791436i 0.703139 0.711053i \(-0.251781\pi\)
−0.711053 + 0.703139i \(0.751781\pi\)
\(542\) 2.84232 1.64102i 0.122088 0.0704877i
\(543\) −1.81564 1.04826i −0.0779165 0.0449851i
\(544\) 5.07764 + 18.9500i 0.217702 + 0.812475i
\(545\) −1.89690 −0.0812542
\(546\) −0.924224 1.92038i −0.0395531 0.0821849i
\(547\) −26.9425 −1.15198 −0.575990 0.817457i \(-0.695383\pi\)
−0.575990 + 0.817457i \(0.695383\pi\)
\(548\) −0.0154781 0.0577651i −0.000661192 0.00246760i
\(549\) −10.1891 5.88266i −0.434859 0.251066i
\(550\) 2.20277 1.27177i 0.0939265 0.0542285i
\(551\) 19.1905 + 19.1905i 0.817543 + 0.817543i
\(552\) −0.490496 + 1.83056i −0.0208769 + 0.0779136i
\(553\) −6.58166 + 23.0667i −0.279880 + 0.980896i
\(554\) 0.822003 + 0.822003i 0.0349236 + 0.0349236i
\(555\) 2.24965 + 3.89650i 0.0954922 + 0.165397i
\(556\) 3.21506 5.56864i 0.136349 0.236163i
\(557\) 29.5799 7.92591i 1.25334 0.335832i 0.429715 0.902965i \(-0.358614\pi\)
0.823626 + 0.567133i \(0.191948\pi\)
\(558\) −0.345684 −0.0146340
\(559\) 27.3704 + 1.61400i 1.15765 + 0.0682651i
\(560\) −0.243299 + 15.0672i −0.0102812 + 0.636705i
\(561\) −8.46553 31.5938i −0.357415 1.33389i
\(562\) 1.70035 2.94510i 0.0717250 0.124231i
\(563\) −7.49329 12.9788i −0.315804 0.546989i 0.663804 0.747907i \(-0.268941\pi\)
−0.979608 + 0.200917i \(0.935608\pi\)
\(564\) −10.2646 + 10.2646i −0.432216 + 0.432216i
\(565\) −4.94722 + 18.4633i −0.208131 + 0.776756i
\(566\) 0.877680 + 0.235174i 0.0368917 + 0.00988509i
\(567\) −1.84038 1.90079i −0.0772887 0.0798257i
\(568\) −2.40258 4.16138i −0.100810 0.174608i
\(569\) 6.07156 + 3.50542i 0.254533 + 0.146955i 0.621838 0.783146i \(-0.286386\pi\)
−0.367305 + 0.930101i \(0.619720\pi\)
\(570\) −0.452609 1.68916i −0.0189577 0.0707512i
\(571\) 0.237494i 0.00993882i −0.999988 0.00496941i \(-0.998418\pi\)
0.999988 0.00496941i \(-0.00158182\pi\)
\(572\) −29.7646 + 6.12345i −1.24452 + 0.256034i
\(573\) 8.44149i 0.352648i
\(574\) −0.818500 + 0.205212i −0.0341635 + 0.00856537i
\(575\) −2.82848 + 4.89908i −0.117956 + 0.204306i
\(576\) 5.91225 3.41344i 0.246344 0.142227i
\(577\) −3.41695 3.41695i −0.142250 0.142250i 0.632396 0.774645i \(-0.282072\pi\)
−0.774645 + 0.632396i \(0.782072\pi\)
\(578\) −8.69131 2.32883i −0.361511 0.0968665i
\(579\) −1.96647 0.526915i −0.0817238 0.0218978i
\(580\) −11.3107 + 11.3107i −0.469649 + 0.469649i
\(581\) −3.69763 + 2.05595i −0.153403 + 0.0852952i
\(582\) 3.25850 + 1.88129i 0.135069 + 0.0779821i
\(583\) −55.0253 + 14.7440i −2.27891 + 0.610633i
\(584\) 10.0392 0.415424
\(585\) 4.14544 3.68376i 0.171393 0.152305i
\(586\) 4.93076i 0.203688i
\(587\) −7.16064 + 1.91869i −0.295551 + 0.0791927i −0.403548 0.914959i \(-0.632223\pi\)
0.107997 + 0.994151i \(0.465556\pi\)
\(588\) 11.5952 + 7.20343i 0.478180 + 0.297065i
\(589\) 6.81931 3.93713i 0.280985 0.162227i
\(590\) 2.19810 2.19810i 0.0904945 0.0904945i
\(591\) 3.46988 12.9498i 0.142732 0.532682i
\(592\) −2.80357 + 10.4631i −0.115226 + 0.430030i
\(593\) 20.9219 20.9219i 0.859161 0.859161i −0.132078 0.991239i \(-0.542165\pi\)
0.991239 + 0.132078i \(0.0421649\pi\)
\(594\) 0.836204 0.482783i 0.0343099 0.0198088i
\(595\) −26.4193 15.8274i −1.08309 0.648859i
\(596\) 8.82700 2.36519i 0.361568 0.0968818i
\(597\) 7.53644i 0.308446i
\(598\) −1.29306 + 1.14905i −0.0528771 + 0.0469882i
\(599\) −35.0083 −1.43040 −0.715199 0.698920i \(-0.753664\pi\)
−0.715199 + 0.698920i \(0.753664\pi\)
\(600\) −2.24550 + 0.601681i −0.0916723 + 0.0245635i
\(601\) −25.0031 14.4355i −1.01990 0.588838i −0.105823 0.994385i \(-0.533748\pi\)
−0.914074 + 0.405547i \(0.867081\pi\)
\(602\) 3.92846 2.18430i 0.160112 0.0890254i
\(603\) 3.50079 3.50079i 0.142563 0.142563i
\(604\) −12.6526 3.39025i −0.514826 0.137947i
\(605\) 11.4084 + 3.05688i 0.463819 + 0.124280i
\(606\) 1.73327 + 1.73327i 0.0704091 + 0.0704091i
\(607\) 22.1458 12.7859i 0.898871 0.518964i 0.0220376 0.999757i \(-0.492985\pi\)
0.876834 + 0.480793i \(0.159651\pi\)
\(608\) 6.59615 11.4249i 0.267509 0.463339i
\(609\) 3.43130 + 13.6860i 0.139043 + 0.554584i
\(610\) 4.04291i 0.163693i
\(611\) −26.2889 + 5.40839i −1.06353 + 0.218800i
\(612\) 14.7583i 0.596569i
\(613\) −6.84627 25.5506i −0.276518 1.03198i −0.954817 0.297194i \(-0.903949\pi\)
0.678299 0.734786i \(-0.262718\pi\)
\(614\) −2.62767 1.51708i −0.106044 0.0612245i
\(615\) −1.09788 1.90159i −0.0442708 0.0766794i
\(616\) −7.24974 + 7.01933i −0.292100 + 0.282817i
\(617\) −41.2766 11.0600i −1.66173 0.445260i −0.698870 0.715249i \(-0.746313\pi\)
−0.962864 + 0.269988i \(0.912980\pi\)
\(618\) −0.271903 + 1.01475i −0.0109375 + 0.0408194i
\(619\) 7.36404 7.36404i 0.295986 0.295986i −0.543453 0.839439i \(-0.682884\pi\)
0.839439 + 0.543453i \(0.182884\pi\)
\(620\) 2.32050 + 4.01922i 0.0931935 + 0.161416i
\(621\) −1.07373 + 1.85976i −0.0430874 + 0.0746296i
\(622\) −0.937855 3.50012i −0.0376046 0.140342i
\(623\) 2.22156 + 0.0358728i 0.0890050 + 0.00143722i
\(624\) 13.3283 + 0.785953i 0.533557 + 0.0314633i
\(625\) 4.88945 0.195578
\(626\) −5.22738 + 1.40067i −0.208928 + 0.0559822i
\(627\) −10.9972 + 19.0477i −0.439186 + 0.760693i
\(628\) −16.6845 28.8983i −0.665782 1.15317i
\(629\) −15.6541 15.6541i −0.624169 0.624169i
\(630\) 0.249455 0.874266i 0.00993854 0.0348316i
\(631\) −3.47681 + 12.9756i −0.138410 + 0.516552i 0.861551 + 0.507671i \(0.169494\pi\)
−0.999961 + 0.00888079i \(0.997173\pi\)
\(632\) 5.65758 + 5.65758i 0.225046 + 0.225046i
\(633\) −14.6932 + 8.48310i −0.584001 + 0.337173i
\(634\) −5.17644 2.98862i −0.205583 0.118693i
\(635\) 2.53434 + 9.45828i 0.100572 + 0.375340i
\(636\) 25.7038 1.01922
\(637\) 10.5765 + 22.9159i 0.419056 + 0.907960i
\(638\) −5.14927 −0.203862
\(639\) −1.40926 5.25942i −0.0557494 0.208060i
\(640\) 8.93765 + 5.16016i 0.353292 + 0.203973i
\(641\) −9.03607 + 5.21698i −0.356903 + 0.206058i −0.667722 0.744411i \(-0.732730\pi\)
0.310818 + 0.950469i \(0.399397\pi\)
\(642\) −2.07045 2.07045i −0.0817143 0.0817143i
\(643\) −2.33827 + 8.72656i −0.0922125 + 0.344142i −0.996582 0.0826083i \(-0.973675\pi\)
0.904370 + 0.426750i \(0.140342\pi\)
\(644\) 3.04007 10.6545i 0.119795 0.419846i
\(645\) 8.27052 + 8.27052i 0.325651 + 0.325651i
\(646\) 4.30225 + 7.45171i 0.169270 + 0.293184i
\(647\) −4.86550 + 8.42729i −0.191283 + 0.331311i −0.945676 0.325112i \(-0.894598\pi\)
0.754393 + 0.656423i \(0.227931\pi\)
\(648\) −0.852426 + 0.228407i −0.0334864 + 0.00897267i
\(649\) −39.0974 −1.53471
\(650\) −2.01376 0.668905i −0.0789863 0.0262366i
\(651\) 4.09322 + 0.0660957i 0.160426 + 0.00259049i
\(652\) −9.85322 36.7727i −0.385882 1.44013i
\(653\) 19.3917 33.5874i 0.758855 1.31437i −0.184580 0.982817i \(-0.559093\pi\)
0.943435 0.331557i \(-0.107574\pi\)
\(654\) 0.137764 + 0.238614i 0.00538700 + 0.00933056i
\(655\) 4.06217 4.06217i 0.158722 0.158722i
\(656\) 1.36821 5.10623i 0.0534196 0.199365i
\(657\) 10.9883 + 2.94429i 0.428692 + 0.114868i
\(658\) −3.16113 + 3.06066i −0.123233 + 0.119317i
\(659\) 16.5452 + 28.6571i 0.644509 + 1.11632i 0.984415 + 0.175863i \(0.0562717\pi\)
−0.339905 + 0.940460i \(0.610395\pi\)
\(660\) −11.2265 6.48162i −0.436991 0.252297i
\(661\) 3.34087 + 12.4683i 0.129945 + 0.484960i 0.999968 0.00805129i \(-0.00256283\pi\)
−0.870023 + 0.493011i \(0.835896\pi\)
\(662\) 3.22860i 0.125483i
\(663\) −15.0109 + 22.7870i −0.582974 + 0.884974i
\(664\) 1.41118i 0.0547645i
\(665\) 5.03635 + 20.0878i 0.195301 + 0.778971i
\(666\) 0.326766 0.565975i 0.0126619 0.0219311i
\(667\) 9.91794 5.72612i 0.384024 0.221716i
\(668\) −19.5194 19.5194i −0.755229 0.755229i
\(669\) 12.1895 + 3.26617i 0.471273 + 0.126277i
\(670\) 1.64329 + 0.440319i 0.0634859 + 0.0170110i
\(671\) −35.9554 + 35.9554i −1.38804 + 1.38804i
\(672\) 5.99427 3.33293i 0.231234 0.128571i
\(673\) 22.5255 + 13.0051i 0.868295 + 0.501310i 0.866781 0.498689i \(-0.166185\pi\)
0.00151340 + 0.999999i \(0.499518\pi\)
\(674\) 1.11250 0.298092i 0.0428517 0.0114821i
\(675\) −2.63425 −0.101392
\(676\) 20.3128 + 15.1680i 0.781262 + 0.583386i
\(677\) 41.0161i 1.57638i 0.615434 + 0.788188i \(0.288981\pi\)
−0.615434 + 0.788188i \(0.711019\pi\)
\(678\) 2.68183 0.718593i 0.102995 0.0275974i
\(679\) −38.2240 22.8993i −1.46690 0.878795i
\(680\) −8.89631 + 5.13629i −0.341158 + 0.196968i
\(681\) 13.9119 13.9119i 0.533106 0.533106i
\(682\) −0.386679 + 1.44311i −0.0148067 + 0.0552594i
\(683\) 8.69145 32.4369i 0.332569 1.24116i −0.573912 0.818917i \(-0.694575\pi\)
0.906481 0.422247i \(-0.138759\pi\)
\(684\) 7.01739 7.01739i 0.268317 0.268317i
\(685\) 0.0408491 0.0235842i 0.00156076 0.000901107i
\(686\) 3.47893 + 2.23990i 0.132826 + 0.0855197i
\(687\) −27.0809 + 7.25630i −1.03320 + 0.276845i
\(688\) 28.1591i 1.07356i
\(689\) 39.6870 + 26.1437i 1.51195 + 0.995994i
\(690\) −0.737933 −0.0280926
\(691\) 33.3878 8.94624i 1.27013 0.340331i 0.440051 0.897973i \(-0.354960\pi\)
0.830082 + 0.557642i \(0.188294\pi\)
\(692\) −32.6305 18.8392i −1.24043 0.716160i
\(693\) −9.99375 + 5.55672i −0.379631 + 0.211082i
\(694\) −3.76020 + 3.76020i −0.142735 + 0.142735i
\(695\) 4.89884 + 1.31264i 0.185823 + 0.0497912i
\(696\) 4.54591 + 1.21807i 0.172312 + 0.0461710i
\(697\) 7.63956 + 7.63956i 0.289369 + 0.289369i
\(698\) −2.36628 + 1.36617i −0.0895651 + 0.0517104i
\(699\) 5.44500 9.43101i 0.205949 0.356714i
\(700\) 13.1833 3.30526i 0.498280 0.124927i
\(701\) 4.79362i 0.181053i 0.995894 + 0.0905263i \(0.0288549\pi\)
−0.995894 + 0.0905263i \(0.971145\pi\)
\(702\) −0.764453 0.253926i −0.0288524 0.00958381i
\(703\) 14.8867i 0.561461i
\(704\) −7.63649 28.4998i −0.287811 1.07413i
\(705\) −9.91554 5.72474i −0.373441 0.215606i
\(706\) 1.91032 + 3.30876i 0.0718957 + 0.124527i
\(707\) −20.1921 20.8549i −0.759402 0.784329i
\(708\) 17.0400 + 4.56586i 0.640404 + 0.171596i
\(709\) 2.76549 10.3209i 0.103860 0.387611i −0.894353 0.447361i \(-0.852364\pi\)
0.998213 + 0.0597505i \(0.0190305\pi\)
\(710\) 1.32303 1.32303i 0.0496524 0.0496524i
\(711\) 4.53318 + 7.85169i 0.170007 + 0.294461i
\(712\) 0.370552 0.641814i 0.0138870 0.0240530i
\(713\) −0.859994 3.20954i −0.0322070 0.120198i
\(714\) −0.0722252 + 4.47281i −0.00270296 + 0.167391i
\(715\) −10.7413 21.4263i −0.401703 0.801300i
\(716\) 8.01890 0.299680
\(717\) 13.7153 3.67499i 0.512206 0.137245i
\(718\) −2.30976 + 4.00062i −0.0861995 + 0.149302i
\(719\) −14.9272 25.8547i −0.556690 0.964216i −0.997770 0.0667479i \(-0.978738\pi\)
0.441080 0.897468i \(-0.354596\pi\)
\(720\) 4.02740 + 4.02740i 0.150092 + 0.150092i
\(721\) 3.41361 11.9637i 0.127129 0.445550i
\(722\) 0.398890 1.48868i 0.0148452 0.0554029i
\(723\) −11.0763 11.0763i −0.411932 0.411932i
\(724\) 3.54065 2.04420i 0.131587 0.0759720i
\(725\) 12.1661 + 7.02412i 0.451839 + 0.260869i
\(726\) −0.444018 1.65710i −0.0164791 0.0615007i
\(727\) 41.2241 1.52892 0.764459 0.644672i \(-0.223006\pi\)
0.764459 + 0.644672i \(0.223006\pi\)
\(728\) 8.39478 + 0.631188i 0.311131 + 0.0233934i
\(729\) −1.00000 −0.0370370
\(730\) 1.01175 + 3.77589i 0.0374464 + 0.139752i
\(731\) −49.8398 28.7750i −1.84339 1.06428i
\(732\) 19.8696 11.4717i 0.734400 0.424006i
\(733\) 14.3345 + 14.3345i 0.529456 + 0.529456i 0.920410 0.390954i \(-0.127855\pi\)
−0.390954 + 0.920410i \(0.627855\pi\)
\(734\) 0.0267847 0.0999617i 0.000988640 0.00368965i
\(735\) −3.12095 + 10.3044i −0.115118 + 0.380085i
\(736\) −3.93636 3.93636i −0.145096 0.145096i
\(737\) −10.6986 18.5305i −0.394087 0.682579i
\(738\) −0.159469 + 0.276209i −0.00587015 + 0.0101674i
\(739\) 24.4381 6.54818i 0.898972 0.240879i 0.220397 0.975410i \(-0.429265\pi\)
0.678575 + 0.734532i \(0.262598\pi\)
\(740\) −8.77402 −0.322539
\(741\) 17.9724 3.69746i 0.660234 0.135830i
\(742\) 7.79007 + 0.125791i 0.285982 + 0.00461793i
\(743\) 10.9162 + 40.7397i 0.400476 + 1.49460i 0.812250 + 0.583310i \(0.198243\pi\)
−0.411774 + 0.911286i \(0.635091\pi\)
\(744\) 0.682741 1.18254i 0.0250305 0.0433541i
\(745\) 3.60387 + 6.24209i 0.132036 + 0.228693i
\(746\) 0.110241 0.110241i 0.00403621 0.00403621i
\(747\) −0.413872 + 1.54459i −0.0151428 + 0.0565137i
\(748\) 61.6106 + 16.5085i 2.25271 + 0.603611i
\(749\) 24.1203 + 24.9120i 0.881335 + 0.910265i
\(750\) −1.31168 2.27189i −0.0478957 0.0829577i
\(751\) −6.23654 3.60067i −0.227574 0.131390i 0.381878 0.924213i \(-0.375277\pi\)
−0.609453 + 0.792823i \(0.708611\pi\)
\(752\) −7.13433 26.6257i −0.260162 0.970938i
\(753\) 21.5695i 0.786035i
\(754\) 2.85350 + 3.21112i 0.103918 + 0.116942i
\(755\) 10.3315i 0.376004i
\(756\) 5.00455 1.25473i 0.182014 0.0456339i
\(757\) −11.5449 + 19.9964i −0.419607 + 0.726780i −0.995900 0.0904628i \(-0.971165\pi\)
0.576293 + 0.817243i \(0.304499\pi\)
\(758\) −1.38385 + 0.798968i −0.0502638 + 0.0290198i
\(759\) 6.56277 + 6.56277i 0.238213 + 0.238213i
\(760\) 6.67233 + 1.78785i 0.242031 + 0.0648520i
\(761\) 5.76843 + 1.54565i 0.209105 + 0.0560296i 0.361851 0.932236i \(-0.382145\pi\)
−0.152746 + 0.988266i \(0.548812\pi\)
\(762\) 1.00572 1.00572i 0.0364332 0.0364332i
\(763\) −1.58563 2.85176i −0.0574038 0.103241i
\(764\) 14.2562 + 8.23082i 0.515771 + 0.297780i
\(765\) −11.2437 + 3.01275i −0.406518 + 0.108926i
\(766\) −0.428649 −0.0154877
\(767\) 21.6660 + 24.3814i 0.782315 + 0.880362i
\(768\) 12.1547i 0.438596i
\(769\) −32.9326 + 8.82426i −1.18758 + 0.318211i −0.797929 0.602752i \(-0.794071\pi\)
−0.389650 + 0.920963i \(0.627404\pi\)
\(770\) −3.37071 2.01933i −0.121472 0.0727717i
\(771\) 1.83517 1.05953i 0.0660920 0.0381582i
\(772\) 2.80726 2.80726i 0.101036 0.101036i
\(773\) −0.0200118 + 0.0746850i −0.000719774 + 0.00268623i −0.966285