Properties

Label 483.2.bf.a.178.25
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.25
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.25

$q$-expansion

\(f(q)\) \(=\) \(q+(1.63043 - 0.155687i) q^{2} +(0.690079 + 0.723734i) q^{3} +(0.670191 - 0.129169i) q^{4} +(3.55311 + 1.83175i) q^{5} +(1.23780 + 1.07256i) q^{6} +(-2.60509 - 0.462092i) q^{7} +(-2.07041 + 0.607927i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(1.63043 - 0.155687i) q^{2} +(0.690079 + 0.723734i) q^{3} +(0.670191 - 0.129169i) q^{4} +(3.55311 + 1.83175i) q^{5} +(1.23780 + 1.07256i) q^{6} +(-2.60509 - 0.462092i) q^{7} +(-2.07041 + 0.607927i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(6.07825 + 2.43337i) q^{10} +(0.0284877 - 0.298336i) q^{11} +(0.555969 + 0.395904i) q^{12} +(5.98866 - 0.861039i) q^{13} +(-4.31934 - 0.347828i) q^{14} +(1.12622 + 3.83556i) q^{15} +(-4.54827 + 1.82085i) q^{16} +(-0.680955 - 1.96749i) q^{17} +(0.0779316 + 1.63599i) q^{18} +(-0.499556 + 1.44337i) q^{19} +(2.61787 + 0.768675i) q^{20} +(-1.46328 - 2.20427i) q^{21} -0.490850i q^{22} +(-3.35233 - 3.42956i) q^{23} +(-1.86872 - 1.07891i) q^{24} +(6.36896 + 8.94395i) q^{25} +(9.63001 - 2.33622i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(-1.80559 + 0.0268060i) q^{28} +(1.92778 - 2.22478i) q^{29} +(2.43337 + 6.07825i) q^{30} +(-6.99100 - 1.69600i) q^{31} +(-3.29625 + 1.69933i) q^{32} +(0.235575 - 0.185258i) q^{33} +(-1.41656 - 3.10183i) q^{34} +(-8.40971 - 6.41373i) q^{35} +(0.0971335 + 0.675578i) q^{36} +(1.65123 + 0.0786579i) q^{37} +(-0.589775 + 2.43109i) q^{38} +(4.75581 + 3.74001i) q^{39} +(-8.46995 - 1.63245i) q^{40} +(-3.47422 - 5.40599i) q^{41} +(-2.72895 - 3.36608i) q^{42} +(3.04969 - 10.3863i) q^{43} +(-0.0194436 - 0.203622i) q^{44} +(-1.99874 + 3.46192i) q^{45} +(-5.99967 - 5.06972i) q^{46} +(7.29260 - 4.21038i) q^{47} +(-4.45648 - 2.03521i) q^{48} +(6.57294 + 2.40758i) q^{49} +(11.7766 + 13.5909i) q^{50} +(0.954028 - 1.85056i) q^{51} +(3.90233 - 1.35061i) q^{52} +(-4.14772 + 5.27425i) q^{53} +(-1.13024 + 1.18536i) q^{54} +(0.647698 - 1.00784i) q^{55} +(5.67451 - 0.626983i) q^{56} +(-1.38935 + 0.634496i) q^{57} +(2.79673 - 3.92746i) q^{58} +(-5.21554 + 13.0278i) q^{59} +(1.25022 + 2.42509i) q^{60} +(-1.47992 - 1.41110i) q^{61} +(-11.6623 - 1.67679i) q^{62} +(0.585523 - 2.58015i) q^{63} +(3.13323 - 2.01361i) q^{64} +(22.8556 + 7.91038i) q^{65} +(0.355245 - 0.338725i) q^{66} +(2.46201 - 1.75319i) q^{67} +(-0.710509 - 1.23064i) q^{68} +(0.168713 - 4.79286i) q^{69} +(-14.7099 - 9.14784i) q^{70} +(-2.43876 + 5.34015i) q^{71} +(-0.508724 - 2.09699i) q^{72} +(-0.874119 - 4.53536i) q^{73} +(2.70446 - 0.128829i) q^{74} +(-2.07796 + 10.7815i) q^{75} +(-0.148360 + 1.03186i) q^{76} +(-0.212071 + 0.764028i) q^{77} +(8.33627 + 5.35739i) q^{78} +(-4.61874 - 5.87321i) q^{79} +(-19.4958 - 1.86163i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-6.50609 - 8.27317i) q^{82} +(1.72742 + 1.11015i) q^{83} +(-1.26540 - 1.28827i) q^{84} +(1.18445 - 8.23805i) q^{85} +(3.35528 - 17.4088i) q^{86} +(2.94047 - 0.140072i) q^{87} +(0.122385 + 0.634996i) q^{88} +(-0.749428 - 3.08919i) q^{89} +(-2.71982 + 5.95558i) q^{90} +(-15.9989 - 0.524228i) q^{91} +(-2.68970 - 1.86544i) q^{92} +(-3.59689 - 6.22999i) q^{93} +(11.2345 - 8.00008i) q^{94} +(-4.41888 + 4.21339i) q^{95} +(-3.50454 - 1.21293i) q^{96} +(-9.65292 + 6.20356i) q^{97} +(11.0915 + 2.90205i) q^{98} +(0.296643 + 0.0426508i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.63043 0.155687i 1.15288 0.110087i 0.498945 0.866634i \(-0.333721\pi\)
0.653940 + 0.756546i \(0.273115\pi\)
\(3\) 0.690079 + 0.723734i 0.398417 + 0.417848i
\(4\) 0.670191 0.129169i 0.335096 0.0645844i
\(5\) 3.55311 + 1.83175i 1.58900 + 0.819185i 0.999938 + 0.0110947i \(0.00353164\pi\)
0.589059 + 0.808090i \(0.299499\pi\)
\(6\) 1.23780 + 1.07256i 0.505329 + 0.437870i
\(7\) −2.60509 0.462092i −0.984630 0.174654i
\(8\) −2.07041 + 0.607927i −0.732000 + 0.214935i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) 6.07825 + 2.43337i 1.92211 + 0.769498i
\(11\) 0.0284877 0.298336i 0.00858935 0.0899518i −0.990161 0.139935i \(-0.955311\pi\)
0.998750 + 0.0499831i \(0.0159167\pi\)
\(12\) 0.555969 + 0.395904i 0.160494 + 0.114288i
\(13\) 5.98866 0.861039i 1.66096 0.238809i 0.753044 0.657971i \(-0.228585\pi\)
0.907912 + 0.419161i \(0.137676\pi\)
\(14\) −4.31934 0.347828i −1.15439 0.0929611i
\(15\) 1.12622 + 3.83556i 0.290789 + 0.990337i
\(16\) −4.54827 + 1.82085i −1.13707 + 0.455213i
\(17\) −0.680955 1.96749i −0.165156 0.477187i 0.831807 0.555065i \(-0.187307\pi\)
−0.996963 + 0.0778783i \(0.975185\pi\)
\(18\) 0.0779316 + 1.63599i 0.0183687 + 0.385606i
\(19\) −0.499556 + 1.44337i −0.114606 + 0.331132i −0.987687 0.156443i \(-0.949997\pi\)
0.873081 + 0.487575i \(0.162119\pi\)
\(20\) 2.61787 + 0.768675i 0.585373 + 0.171881i
\(21\) −1.46328 2.20427i −0.319315 0.481011i
\(22\) 0.490850i 0.104650i
\(23\) −3.35233 3.42956i −0.699010 0.715112i
\(24\) −1.86872 1.07891i −0.381451 0.220231i
\(25\) 6.36896 + 8.94395i 1.27379 + 1.78879i
\(26\) 9.63001 2.33622i 1.88860 0.458170i
\(27\) −0.755750 + 0.654861i −0.145444 + 0.126028i
\(28\) −1.80559 + 0.0268060i −0.341225 + 0.00506586i
\(29\) 1.92778 2.22478i 0.357980 0.413131i −0.547982 0.836490i \(-0.684604\pi\)
0.905962 + 0.423359i \(0.139149\pi\)
\(30\) 2.43337 + 6.07825i 0.444270 + 1.10973i
\(31\) −6.99100 1.69600i −1.25562 0.304610i −0.447850 0.894108i \(-0.647810\pi\)
−0.807770 + 0.589498i \(0.799325\pi\)
\(32\) −3.29625 + 1.69933i −0.582700 + 0.300403i
\(33\) 0.235575 0.185258i 0.0410083 0.0322493i
\(34\) −1.41656 3.10183i −0.242938 0.531960i
\(35\) −8.40971 6.41373i −1.42150 1.08412i
\(36\) 0.0971335 + 0.675578i 0.0161889 + 0.112596i
\(37\) 1.65123 + 0.0786579i 0.271461 + 0.0129313i 0.182871 0.983137i \(-0.441461\pi\)
0.0885899 + 0.996068i \(0.471764\pi\)
\(38\) −0.589775 + 2.43109i −0.0956742 + 0.394374i
\(39\) 4.75581 + 3.74001i 0.761539 + 0.598881i
\(40\) −8.46995 1.63245i −1.33922 0.258113i
\(41\) −3.47422 5.40599i −0.542582 0.844273i 0.456382 0.889784i \(-0.349145\pi\)
−0.998964 + 0.0455104i \(0.985509\pi\)
\(42\) −2.72895 3.36608i −0.421086 0.519398i
\(43\) 3.04969 10.3863i 0.465073 1.58389i −0.309172 0.951006i \(-0.600052\pi\)
0.774245 0.632886i \(-0.218130\pi\)
\(44\) −0.0194436 0.203622i −0.00293123 0.0306972i
\(45\) −1.99874 + 3.46192i −0.297955 + 0.516073i
\(46\) −5.99967 5.06972i −0.884602 0.747490i
\(47\) 7.29260 4.21038i 1.06373 0.614148i 0.137272 0.990533i \(-0.456167\pi\)
0.926463 + 0.376386i \(0.122833\pi\)
\(48\) −4.45648 2.03521i −0.643237 0.293757i
\(49\) 6.57294 + 2.40758i 0.938992 + 0.343939i
\(50\) 11.7766 + 13.5909i 1.66546 + 1.92204i
\(51\) 0.954028 1.85056i 0.133591 0.259130i
\(52\) 3.90233 1.35061i 0.541156 0.187296i
\(53\) −4.14772 + 5.27425i −0.569733 + 0.724474i −0.982479 0.186372i \(-0.940327\pi\)
0.412747 + 0.910846i \(0.364569\pi\)
\(54\) −1.13024 + 1.18536i −0.153806 + 0.161307i
\(55\) 0.647698 1.00784i 0.0873356 0.135897i
\(56\) 5.67451 0.626983i 0.758288 0.0837841i
\(57\) −1.38935 + 0.634496i −0.184024 + 0.0840410i
\(58\) 2.79673 3.92746i 0.367229 0.515701i
\(59\) −5.21554 + 13.0278i −0.679005 + 1.69607i 0.0382553 + 0.999268i \(0.487820\pi\)
−0.717261 + 0.696805i \(0.754604\pi\)
\(60\) 1.25022 + 2.42509i 0.161402 + 0.313077i
\(61\) −1.47992 1.41110i −0.189485 0.180673i 0.589398 0.807843i \(-0.299365\pi\)
−0.778883 + 0.627169i \(0.784213\pi\)
\(62\) −11.6623 1.67679i −1.48112 0.212953i
\(63\) 0.585523 2.58015i 0.0737690 0.325068i
\(64\) 3.13323 2.01361i 0.391654 0.251701i
\(65\) 22.8556 + 7.91038i 2.83488 + 0.981162i
\(66\) 0.355245 0.338725i 0.0437276 0.0416942i
\(67\) 2.46201 1.75319i 0.300782 0.214186i −0.419694 0.907666i \(-0.637863\pi\)
0.720476 + 0.693479i \(0.243923\pi\)
\(68\) −0.710509 1.23064i −0.0861619 0.149237i
\(69\) 0.168713 4.79286i 0.0203107 0.576993i
\(70\) −14.7099 9.14784i −1.75817 1.09338i
\(71\) −2.43876 + 5.34015i −0.289428 + 0.633759i −0.997367 0.0725144i \(-0.976898\pi\)
0.707939 + 0.706273i \(0.249625\pi\)
\(72\) −0.508724 2.09699i −0.0599537 0.247133i
\(73\) −0.874119 4.53536i −0.102308 0.530823i −0.996532 0.0832049i \(-0.973484\pi\)
0.894225 0.447619i \(-0.147728\pi\)
\(74\) 2.70446 0.128829i 0.314387 0.0149761i
\(75\) −2.07796 + 10.7815i −0.239942 + 1.24494i
\(76\) −0.148360 + 1.03186i −0.0170180 + 0.118363i
\(77\) −0.212071 + 0.764028i −0.0241678 + 0.0870690i
\(78\) 8.33627 + 5.35739i 0.943896 + 0.606605i
\(79\) −4.61874 5.87321i −0.519649 0.660788i 0.453421 0.891296i \(-0.350203\pi\)
−0.973070 + 0.230509i \(0.925961\pi\)
\(80\) −19.4958 1.86163i −2.17970 0.208136i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) −6.50609 8.27317i −0.718478 0.913619i
\(83\) 1.72742 + 1.11015i 0.189609 + 0.121854i 0.632001 0.774967i \(-0.282234\pi\)
−0.442392 + 0.896822i \(0.645870\pi\)
\(84\) −1.26540 1.28827i −0.138067 0.140562i
\(85\) 1.18445 8.23805i 0.128472 0.893542i
\(86\) 3.35528 17.4088i 0.361809 1.87724i
\(87\) 2.94047 0.140072i 0.315251 0.0150173i
\(88\) 0.122385 + 0.634996i 0.0130463 + 0.0676908i
\(89\) −0.749428 3.08919i −0.0794393 0.327453i 0.918201 0.396115i \(-0.129642\pi\)
−0.997640 + 0.0686624i \(0.978127\pi\)
\(90\) −2.71982 + 5.95558i −0.286695 + 0.627774i
\(91\) −15.9989 0.524228i −1.67714 0.0549540i
\(92\) −2.68970 1.86544i −0.280420 0.194486i
\(93\) −3.59689 6.22999i −0.372980 0.646020i
\(94\) 11.2345 8.00008i 1.15875 0.825145i
\(95\) −4.41888 + 4.21339i −0.453367 + 0.432285i
\(96\) −3.50454 1.21293i −0.357680 0.123794i
\(97\) −9.65292 + 6.20356i −0.980106 + 0.629876i −0.929492 0.368842i \(-0.879754\pi\)
−0.0506140 + 0.998718i \(0.516118\pi\)
\(98\) 11.0915 + 2.90205i 1.12041 + 0.293152i
\(99\) 0.296643 + 0.0426508i 0.0298137 + 0.00428657i
\(100\) 5.42370 + 5.17149i 0.542370 + 0.517149i
\(101\) −6.11496 11.8614i −0.608462 1.18025i −0.968896 0.247467i \(-0.920402\pi\)
0.360435 0.932784i \(-0.382628\pi\)
\(102\) 1.26736 3.16572i 0.125488 0.313453i
\(103\) −0.653101 + 0.917152i −0.0643520 + 0.0903697i −0.845498 0.533979i \(-0.820696\pi\)
0.781146 + 0.624349i \(0.214636\pi\)
\(104\) −11.8755 + 5.42337i −1.16449 + 0.531805i
\(105\) −1.16152 10.5124i −0.113353 1.02590i
\(106\) −5.94141 + 9.24502i −0.577081 + 0.897955i
\(107\) −5.56280 + 5.83409i −0.537776 + 0.564003i −0.935421 0.353536i \(-0.884979\pi\)
0.397645 + 0.917539i \(0.369828\pi\)
\(108\) −0.421909 + 0.536501i −0.0405982 + 0.0516249i
\(109\) −7.77155 + 2.68976i −0.744379 + 0.257632i −0.672822 0.739804i \(-0.734918\pi\)
−0.0715573 + 0.997436i \(0.522797\pi\)
\(110\) 0.899116 1.74404i 0.0857274 0.166288i
\(111\) 1.08255 + 1.24933i 0.102751 + 0.118582i
\(112\) 12.6900 2.64176i 1.19910 0.249623i
\(113\) −8.63183 3.94203i −0.812015 0.370835i −0.0342681 0.999413i \(-0.510910\pi\)
−0.777747 + 0.628578i \(0.783637\pi\)
\(114\) −2.16645 + 1.25080i −0.202907 + 0.117148i
\(115\) −5.62909 18.3262i −0.524915 1.70893i
\(116\) 1.00461 1.74004i 0.0932757 0.161558i
\(117\) 0.575112 + 6.02285i 0.0531691 + 0.556812i
\(118\) −6.47529 + 22.0528i −0.596099 + 2.03013i
\(119\) 0.864786 + 5.44015i 0.0792748 + 0.498698i
\(120\) −4.66348 7.25651i −0.425715 0.662426i
\(121\) 10.7130 + 2.06477i 0.973911 + 0.187706i
\(122\) −2.63259 2.07029i −0.238344 0.187436i
\(123\) 1.51501 6.24497i 0.136604 0.563090i
\(124\) −4.90438 0.233624i −0.440426 0.0209801i
\(125\) 3.40196 + 23.6612i 0.304281 + 2.11632i
\(126\) 0.552957 4.29790i 0.0492613 0.382887i
\(127\) 7.01127 + 15.3525i 0.622150 + 1.36232i 0.913945 + 0.405837i \(0.133020\pi\)
−0.291796 + 0.956481i \(0.594253\pi\)
\(128\) 10.6252 8.35573i 0.939141 0.738549i
\(129\) 9.62143 4.96019i 0.847119 0.436720i
\(130\) 38.4958 + 9.33898i 3.37631 + 0.819083i
\(131\) 2.96129 + 7.39695i 0.258729 + 0.646275i 0.999680 0.0252844i \(-0.00804913\pi\)
−0.740951 + 0.671559i \(0.765625\pi\)
\(132\) 0.133951 0.154587i 0.0116589 0.0134551i
\(133\) 1.96836 3.52927i 0.170678 0.306026i
\(134\) 3.74118 3.24175i 0.323188 0.280044i
\(135\) −3.88480 + 0.942443i −0.334350 + 0.0811125i
\(136\) 2.60595 + 3.65954i 0.223458 + 0.313803i
\(137\) 16.1457 + 9.32173i 1.37942 + 0.796409i 0.992090 0.125532i \(-0.0400637\pi\)
0.387331 + 0.921941i \(0.373397\pi\)
\(138\) −0.471111 7.84067i −0.0401036 0.667442i
\(139\) 6.82921i 0.579246i −0.957141 0.289623i \(-0.906470\pi\)
0.957141 0.289623i \(-0.0935299\pi\)
\(140\) −6.46457 3.21216i −0.546356 0.271477i
\(141\) 8.07967 + 2.37240i 0.680431 + 0.199793i
\(142\) −3.14483 + 9.08639i −0.263908 + 0.762513i
\(143\) −0.0862763 1.81116i −0.00721479 0.151457i
\(144\) −1.60237 4.62976i −0.133531 0.385813i
\(145\) 10.9248 4.37365i 0.907259 0.363212i
\(146\) −2.13128 7.25847i −0.176386 0.600716i
\(147\) 2.79341 + 6.41848i 0.230396 + 0.529387i
\(148\) 1.11680 0.160572i 0.0918006 0.0131989i
\(149\) −1.86932 1.33114i −0.153141 0.109051i 0.500918 0.865495i \(-0.332996\pi\)
−0.654059 + 0.756444i \(0.726935\pi\)
\(150\) −1.70942 + 17.9019i −0.139574 + 1.46168i
\(151\) 4.60288 + 1.84271i 0.374577 + 0.149958i 0.551309 0.834301i \(-0.314128\pi\)
−0.176732 + 0.984259i \(0.556553\pi\)
\(152\) 0.156820 3.29206i 0.0127198 0.267022i
\(153\) 1.99766 0.586567i 0.161502 0.0474211i
\(154\) −0.226818 + 1.27871i −0.0182775 + 0.103041i
\(155\) −21.7331 18.8318i −1.74564 1.51261i
\(156\) 3.67040 + 1.89222i 0.293867 + 0.151499i
\(157\) −19.0653 + 3.67454i −1.52158 + 0.293260i −0.880438 0.474162i \(-0.842751\pi\)
−0.641142 + 0.767422i \(0.721539\pi\)
\(158\) −8.44490 8.85675i −0.671840 0.704605i
\(159\) −6.67941 + 0.637806i −0.529711 + 0.0505813i
\(160\) −14.8247 −1.17199
\(161\) 7.14834 + 10.4834i 0.563368 + 0.826206i
\(162\) −1.63784 −0.128681
\(163\) −0.571032 + 0.0545270i −0.0447267 + 0.00427088i −0.117395 0.993085i \(-0.537454\pi\)
0.0726687 + 0.997356i \(0.476848\pi\)
\(164\) −3.02668 3.17429i −0.236344 0.247870i
\(165\) 1.17637 0.226727i 0.0915802 0.0176506i
\(166\) 2.98927 + 1.54108i 0.232012 + 0.119611i
\(167\) 13.1184 + 11.3672i 1.01513 + 0.879618i 0.992758 0.120132i \(-0.0383317\pi\)
0.0223754 + 0.999750i \(0.492877\pi\)
\(168\) 4.36963 + 3.67417i 0.337124 + 0.283468i
\(169\) 22.6492 6.65042i 1.74225 0.511571i
\(170\) 0.648607 13.6159i 0.0497459 1.04429i
\(171\) −1.41797 0.567669i −0.108435 0.0434107i
\(172\) 0.702290 7.35472i 0.0535491 0.560792i
\(173\) 17.7135 + 12.6137i 1.34673 + 0.959005i 0.999777 + 0.0211246i \(0.00672467\pi\)
0.346958 + 0.937881i \(0.387215\pi\)
\(174\) 4.77240 0.686168i 0.361795 0.0520183i
\(175\) −12.4588 26.2428i −0.941793 1.98377i
\(176\) 0.413657 + 1.40879i 0.0311805 + 0.106191i
\(177\) −13.0278 + 5.21554i −0.979228 + 0.392024i
\(178\) −1.70283 4.92001i −0.127633 0.368770i
\(179\) 0.715372 + 15.0175i 0.0534694 + 1.12246i 0.853025 + 0.521870i \(0.174765\pi\)
−0.799556 + 0.600592i \(0.794932\pi\)
\(180\) −0.892367 + 2.57833i −0.0665131 + 0.192177i
\(181\) −19.3820 5.69108i −1.44066 0.423015i −0.534215 0.845348i \(-0.679393\pi\)
−0.906440 + 0.422334i \(0.861211\pi\)
\(182\) −26.1665 + 1.63609i −1.93959 + 0.121275i
\(183\) 2.04484i 0.151159i
\(184\) 9.02562 + 5.06261i 0.665377 + 0.373221i
\(185\) 5.72292 + 3.30413i 0.420758 + 0.242925i
\(186\) −6.83439 9.59755i −0.501122 0.703727i
\(187\) −0.606373 + 0.147104i −0.0443424 + 0.0107573i
\(188\) 4.34359 3.76374i 0.316789 0.274499i
\(189\) 2.27140 1.35674i 0.165220 0.0986885i
\(190\) −6.54868 + 7.55758i −0.475091 + 0.548285i
\(191\) 5.94296 + 14.8448i 0.430017 + 1.07413i 0.972259 + 0.233908i \(0.0751516\pi\)
−0.542241 + 0.840223i \(0.682424\pi\)
\(192\) 3.61949 + 0.878080i 0.261215 + 0.0633700i
\(193\) −11.1545 + 5.75053i −0.802916 + 0.413932i −0.810281 0.586041i \(-0.800686\pi\)
0.00736546 + 0.999973i \(0.497655\pi\)
\(194\) −14.7726 + 11.6173i −1.06061 + 0.834071i
\(195\) 10.0471 + 22.0001i 0.719489 + 1.57546i
\(196\) 4.71611 + 0.764518i 0.336865 + 0.0546084i
\(197\) 3.08225 + 21.4375i 0.219601 + 1.52736i 0.739515 + 0.673140i \(0.235055\pi\)
−0.519914 + 0.854219i \(0.674036\pi\)
\(198\) 0.490294 + 0.0233556i 0.0348437 + 0.00165981i
\(199\) 6.44487 26.5661i 0.456865 1.88322i −0.0119545 0.999929i \(-0.503805\pi\)
0.468819 0.883294i \(-0.344680\pi\)
\(200\) −18.6236 14.6458i −1.31689 1.03561i
\(201\) 2.96783 + 0.572001i 0.209334 + 0.0403459i
\(202\) −11.8167 18.3871i −0.831417 1.29371i
\(203\) −6.05008 + 4.90492i −0.424633 + 0.344258i
\(204\) 0.400347 1.36346i 0.0280299 0.0954611i
\(205\) −2.44183 25.5720i −0.170544 1.78602i
\(206\) −0.922044 + 1.59703i −0.0642419 + 0.111270i
\(207\) 3.58518 3.18535i 0.249187 0.221397i
\(208\) −25.6702 + 14.8207i −1.77991 + 1.02763i
\(209\) 0.416379 + 0.190154i 0.0288016 + 0.0131532i
\(210\) −3.53042 16.9588i −0.243622 1.17027i
\(211\) 11.1027 + 12.8132i 0.764343 + 0.882099i 0.995876 0.0907282i \(-0.0289195\pi\)
−0.231533 + 0.972827i \(0.574374\pi\)
\(212\) −2.09850 + 4.07051i −0.144125 + 0.279564i
\(213\) −5.54778 + 1.92011i −0.380128 + 0.131564i
\(214\) −8.16143 + 10.3781i −0.557904 + 0.709433i
\(215\) 29.8610 31.3173i 2.03650 2.13582i
\(216\) 1.16660 1.81527i 0.0793773 0.123513i
\(217\) 17.4284 + 7.64870i 1.18312 + 0.519227i
\(218\) −12.2522 + 5.59538i −0.829822 + 0.378967i
\(219\) 2.67918 3.76238i 0.181042 0.254238i
\(220\) 0.303900 0.759107i 0.0204890 0.0511790i
\(221\) −5.77210 11.1963i −0.388273 0.753145i
\(222\) 1.95953 + 1.86841i 0.131515 + 0.125399i
\(223\) 8.88639 + 1.27767i 0.595077 + 0.0855591i 0.433271 0.901264i \(-0.357359\pi\)
0.161806 + 0.986823i \(0.448268\pi\)
\(224\) 9.37225 2.90374i 0.626210 0.194014i
\(225\) −9.23686 + 5.93617i −0.615791 + 0.395745i
\(226\) −14.6873 5.08332i −0.976984 0.338137i
\(227\) −12.5792 + 11.9942i −0.834910 + 0.796085i −0.981167 0.193162i \(-0.938126\pi\)
0.146257 + 0.989247i \(0.453277\pi\)
\(228\) −0.849174 + 0.604694i −0.0562379 + 0.0400469i
\(229\) 0.274281 + 0.475069i 0.0181250 + 0.0313934i 0.874946 0.484221i \(-0.160897\pi\)
−0.856821 + 0.515615i \(0.827564\pi\)
\(230\) −12.0310 29.0032i −0.793298 1.91241i
\(231\) −0.699299 + 0.373756i −0.0460105 + 0.0245913i
\(232\) −2.63879 + 5.77814i −0.173245 + 0.379354i
\(233\) −2.63653 10.8679i −0.172725 0.711982i −0.990624 0.136620i \(-0.956376\pi\)
0.817899 0.575362i \(-0.195139\pi\)
\(234\) 1.87535 + 9.73026i 0.122596 + 0.636087i
\(235\) 33.6238 1.60170i 2.19337 0.104483i
\(236\) −1.81263 + 9.40479i −0.117992 + 0.612200i
\(237\) 1.06334 7.39572i 0.0690716 0.480404i
\(238\) 2.25693 + 8.73512i 0.146295 + 0.566214i
\(239\) 4.90001 + 3.14905i 0.316955 + 0.203695i 0.689439 0.724344i \(-0.257857\pi\)
−0.372483 + 0.928039i \(0.621494\pi\)
\(240\) −12.1063 15.3945i −0.781461 0.993709i
\(241\) 1.02743 + 0.0981078i 0.0661827 + 0.00631968i 0.128095 0.991762i \(-0.459114\pi\)
−0.0619122 + 0.998082i \(0.519720\pi\)
\(242\) 17.7882 + 1.69857i 1.14347 + 0.109188i
\(243\) −0.618159 0.786053i −0.0396549 0.0504253i
\(244\) −1.17410 0.754549i −0.0751641 0.0483051i
\(245\) 18.9443 + 20.5944i 1.21031 + 1.31573i
\(246\) 1.49786 10.4178i 0.0954999 0.664216i
\(247\) −1.74887 + 9.07401i −0.111278 + 0.577365i
\(248\) 15.5053 0.738606i 0.984585 0.0469016i
\(249\) 0.388607 + 2.01628i 0.0246270 + 0.127777i
\(250\) 9.23037 + 38.0481i 0.583780 + 2.40637i
\(251\) 2.16741 4.74597i 0.136806 0.299563i −0.828813 0.559526i \(-0.810983\pi\)
0.965619 + 0.259963i \(0.0837104\pi\)
\(252\) 0.0591379 1.80482i 0.00372534 0.113693i
\(253\) −1.11866 + 0.902422i −0.0703296 + 0.0567348i
\(254\) 13.8215 + 23.9396i 0.867241 + 1.50210i
\(255\) 6.77952 4.82768i 0.424550 0.302321i
\(256\) 10.6316 10.1372i 0.664475 0.633576i
\(257\) −7.29941 2.52635i −0.455325 0.157589i 0.0897724 0.995962i \(-0.471386\pi\)
−0.545097 + 0.838373i \(0.683507\pi\)
\(258\) 14.9148 9.58515i 0.928554 0.596745i
\(259\) −4.26526 0.967931i −0.265030 0.0601443i
\(260\) 16.3394 + 2.34925i 1.01332 + 0.145694i
\(261\) 2.13053 + 2.03146i 0.131876 + 0.125744i
\(262\) 5.97978 + 11.5991i 0.369432 + 0.716598i
\(263\) 7.49892 18.7314i 0.462403 1.15503i −0.495672 0.868510i \(-0.665078\pi\)
0.958075 0.286517i \(-0.0924976\pi\)
\(264\) −0.375113 + 0.526772i −0.0230866 + 0.0324206i
\(265\) −24.3984 + 11.1424i −1.49878 + 0.684471i
\(266\) 2.65980 6.06066i 0.163083 0.371603i
\(267\) 1.71858 2.67417i 0.105176 0.163656i
\(268\) 1.42356 1.49299i 0.0869578 0.0911987i
\(269\) −0.558028 + 0.709590i −0.0340236 + 0.0432645i −0.802767 0.596293i \(-0.796640\pi\)
0.768744 + 0.639557i \(0.220882\pi\)
\(270\) −6.18715 + 2.14139i −0.376538 + 0.130321i
\(271\) 12.3962 24.0453i 0.753015 1.46065i −0.130106 0.991500i \(-0.541532\pi\)
0.883121 0.469145i \(-0.155438\pi\)
\(272\) 6.67968 + 7.70876i 0.405015 + 0.467412i
\(273\) −10.6611 11.9407i −0.645237 0.722682i
\(274\) 27.7756 + 12.6847i 1.67799 + 0.766311i
\(275\) 2.84974 1.64530i 0.171846 0.0992152i
\(276\) −0.506018 3.23393i −0.0304587 0.194660i
\(277\) −10.7149 + 18.5588i −0.643799 + 1.11509i 0.340779 + 0.940143i \(0.389309\pi\)
−0.984578 + 0.174948i \(0.944024\pi\)
\(278\) −1.06322 11.1345i −0.0637675 0.667804i
\(279\) 2.02672 6.90238i 0.121337 0.413235i
\(280\) 21.3106 + 8.16656i 1.27355 + 0.488045i
\(281\) 1.82540 + 2.84038i 0.108894 + 0.169443i 0.891424 0.453171i \(-0.149707\pi\)
−0.782529 + 0.622614i \(0.786071\pi\)
\(282\) 13.5426 + 2.61013i 0.806453 + 0.155431i
\(283\) 4.03387 + 3.17227i 0.239788 + 0.188572i 0.730820 0.682570i \(-0.239138\pi\)
−0.491032 + 0.871142i \(0.663380\pi\)
\(284\) −0.944658 + 3.89393i −0.0560551 + 0.231062i
\(285\) −6.09875 0.290519i −0.361259 0.0172089i
\(286\) −0.422641 2.93953i −0.0249913 0.173818i
\(287\) 6.55257 + 15.6885i 0.386786 + 0.926061i
\(288\) −1.54057 3.37337i −0.0907788 0.198778i
\(289\) 9.95558 7.82915i 0.585622 0.460538i
\(290\) 17.1312 8.83176i 1.00598 0.518619i
\(291\) −11.1510 2.70520i −0.653684 0.158582i
\(292\) −1.17165 2.92665i −0.0685658 0.171269i
\(293\) −1.58855 + 1.83329i −0.0928043 + 0.107102i −0.800252 0.599664i \(-0.795301\pi\)
0.707448 + 0.706766i \(0.249846\pi\)
\(294\) 5.55371 + 10.0300i 0.323899 + 0.584959i
\(295\) −42.3950 + 36.7355i −2.46833 + 2.13882i
\(296\) −3.46654 + 0.840975i −0.201489 + 0.0488807i
\(297\) 0.173839 + 0.244123i 0.0100872 + 0.0141655i
\(298\) −3.25503 1.87929i −0.188559 0.108865i
\(299\) −23.0290 17.6520i −1.33180 1.02084i
\(300\) 7.49405i 0.432669i
\(301\) −12.7441 + 25.6479i −0.734558 + 1.47832i
\(302\) 7.79154 + 2.28780i 0.448353 + 0.131648i
\(303\) 4.36467 12.6109i 0.250744 0.724477i
\(304\) −0.356053 7.47447i −0.0204210 0.428690i
\(305\) −2.67353 7.72465i −0.153086 0.442312i
\(306\) 3.16572 1.26736i 0.180972 0.0724504i
\(307\) 2.98559 + 10.1680i 0.170397 + 0.580318i 0.999766 + 0.0216175i \(0.00688161\pi\)
−0.829370 + 0.558700i \(0.811300\pi\)
\(308\) −0.0434399 + 0.539438i −0.00247522 + 0.0307373i
\(309\) −1.11447 + 0.160236i −0.0633998 + 0.00911551i
\(310\) −38.3661 27.3204i −2.17905 1.55169i
\(311\) −1.89265 + 19.8208i −0.107323 + 1.12393i 0.768019 + 0.640427i \(0.221243\pi\)
−0.875341 + 0.483505i \(0.839363\pi\)
\(312\) −12.1201 4.85217i −0.686167 0.274700i
\(313\) 1.28455 26.9659i 0.0726069 1.52421i −0.609402 0.792861i \(-0.708590\pi\)
0.682009 0.731344i \(-0.261107\pi\)
\(314\) −30.5125 + 8.95929i −1.72192 + 0.505602i
\(315\) 6.80662 8.09500i 0.383510 0.456102i
\(316\) −3.85408 3.33958i −0.216809 0.187866i
\(317\) −7.30821 3.76764i −0.410470 0.211612i 0.240609 0.970622i \(-0.422653\pi\)
−0.651079 + 0.759010i \(0.725683\pi\)
\(318\) −10.7910 + 2.07979i −0.605128 + 0.116629i
\(319\) −0.608814 0.638505i −0.0340870 0.0357494i
\(320\) 14.8211 1.41525i 0.828527 0.0791147i
\(321\) −8.06110 −0.449927
\(322\) 13.2870 + 15.9795i 0.740454 + 0.890501i
\(323\) 3.18000 0.176940
\(324\) −0.679435 + 0.0648782i −0.0377464 + 0.00360434i
\(325\) 45.8426 + 48.0783i 2.54289 + 2.66691i
\(326\) −0.922536 + 0.177804i −0.0510946 + 0.00984767i
\(327\) −7.30965 3.76839i −0.404225 0.208392i
\(328\) 10.4795 + 9.08053i 0.578633 + 0.501388i
\(329\) −20.9434 + 7.59856i −1.15465 + 0.418922i
\(330\) 1.88268 0.552806i 0.103638 0.0304310i
\(331\) 1.20535 25.3034i 0.0662521 1.39080i −0.683919 0.729558i \(-0.739726\pi\)
0.750171 0.661244i \(-0.229971\pi\)
\(332\) 1.30110 + 0.520882i 0.0714071 + 0.0285871i
\(333\) −0.157138 + 1.64562i −0.00861109 + 0.0901794i
\(334\) 23.1583 + 16.4910i 1.26717 + 0.902345i
\(335\) 11.9592 1.71947i 0.653401 0.0939448i
\(336\) 10.6691 + 7.36119i 0.582045 + 0.401586i
\(337\) −2.69772 9.18760i −0.146954 0.500481i 0.852809 0.522223i \(-0.174897\pi\)
−0.999764 + 0.0217419i \(0.993079\pi\)
\(338\) 35.8925 14.3692i 1.95230 0.781581i
\(339\) −3.10367 8.96746i −0.168568 0.487046i
\(340\) −0.270289 5.67406i −0.0146585 0.307719i
\(341\) −0.705135 + 2.03735i −0.0381852 + 0.110329i
\(342\) −2.40027 0.704783i −0.129792 0.0381103i
\(343\) −16.0106 9.30924i −0.864489 0.502652i
\(344\) 23.3578i 1.25937i
\(345\) 9.37880 16.7205i 0.504938 0.900202i
\(346\) 30.8444 + 17.8080i 1.65820 + 0.957365i
\(347\) −15.2936 21.4769i −0.821006 1.15294i −0.986016 0.166650i \(-0.946705\pi\)
0.165010 0.986292i \(-0.447234\pi\)
\(348\) 1.95258 0.473691i 0.104669 0.0253925i
\(349\) 1.57910 1.36830i 0.0845275 0.0732435i −0.611572 0.791189i \(-0.709463\pi\)
0.696100 + 0.717945i \(0.254917\pi\)
\(350\) −24.3987 40.8472i −1.30417 2.18338i
\(351\) −3.96207 + 4.57247i −0.211479 + 0.244060i
\(352\) 0.413070 + 1.03180i 0.0220167 + 0.0549951i
\(353\) 7.56391 + 1.83499i 0.402586 + 0.0976664i 0.431939 0.901903i \(-0.357829\pi\)
−0.0293528 + 0.999569i \(0.509345\pi\)
\(354\) −20.4288 + 10.5318i −1.08578 + 0.559759i
\(355\) −18.4470 + 14.5069i −0.979066 + 0.769946i
\(356\) −0.901287 1.97354i −0.0477681 0.104598i
\(357\) −3.34045 + 4.38001i −0.176795 + 0.231815i
\(358\) 3.50439 + 24.3736i 0.185213 + 1.28818i
\(359\) −13.4836 0.642301i −0.711635 0.0338994i −0.311357 0.950293i \(-0.600784\pi\)
−0.400278 + 0.916394i \(0.631087\pi\)
\(360\) 2.03362 8.38268i 0.107181 0.441806i
\(361\) 13.1012 + 10.3029i 0.689539 + 0.542259i
\(362\) −32.4870 6.26136i −1.70748 0.329090i
\(363\) 5.89849 + 9.17823i 0.309590 + 0.481732i
\(364\) −10.7900 + 1.71522i −0.565550 + 0.0899019i
\(365\) 5.20182 17.7158i 0.272276 0.927286i
\(366\) −0.318355 3.33396i −0.0166407 0.174269i
\(367\) 4.82177 8.35155i 0.251694 0.435947i −0.712298 0.701877i \(-0.752346\pi\)
0.963992 + 0.265930i \(0.0856789\pi\)
\(368\) 21.4920 + 9.49445i 1.12035 + 0.494932i
\(369\) 5.56517 3.21305i 0.289711 0.167265i
\(370\) 9.84521 + 4.49616i 0.511828 + 0.233744i
\(371\) 13.2423 11.8232i 0.687508 0.613833i
\(372\) −3.21532 3.71068i −0.166707 0.192390i
\(373\) −1.98788 + 3.85595i −0.102928 + 0.199653i −0.934676 0.355501i \(-0.884310\pi\)
0.831748 + 0.555154i \(0.187341\pi\)
\(374\) −0.965744 + 0.334247i −0.0499374 + 0.0172835i
\(375\) −14.7768 + 18.7902i −0.763069 + 0.970321i
\(376\) −12.5391 + 13.1506i −0.646652 + 0.678189i
\(377\) 9.62920 14.9833i 0.495929 0.771680i
\(378\) 3.49212 2.56569i 0.179615 0.131965i
\(379\) −3.06563 + 1.40003i −0.157471 + 0.0719145i −0.492591 0.870261i \(-0.663950\pi\)
0.335120 + 0.942175i \(0.391223\pi\)
\(380\) −2.41726 + 3.39456i −0.124003 + 0.174137i
\(381\) −6.27283 + 15.6688i −0.321367 + 0.802735i
\(382\) 12.0007 + 23.2781i 0.614008 + 1.19101i
\(383\) −8.26363 7.87936i −0.422252 0.402616i 0.448938 0.893563i \(-0.351802\pi\)
−0.871190 + 0.490947i \(0.836651\pi\)
\(384\) 13.3795 + 1.92369i 0.682771 + 0.0981677i
\(385\) −2.15302 + 2.32621i −0.109728 + 0.118555i
\(386\) −17.2912 + 11.1124i −0.880101 + 0.565607i
\(387\) 10.2294 + 3.54043i 0.519990 + 0.179970i
\(388\) −5.66800 + 5.40443i −0.287749 + 0.274368i
\(389\) −17.8630 + 12.7202i −0.905692 + 0.644941i −0.935007 0.354630i \(-0.884607\pi\)
0.0293145 + 0.999570i \(0.490668\pi\)
\(390\) 19.8062 + 34.3054i 1.00293 + 1.73712i
\(391\) −4.46484 + 8.93106i −0.225797 + 0.451663i
\(392\) −15.0723 0.988798i −0.761266 0.0499418i
\(393\) −3.30990 + 7.24767i −0.166962 + 0.365597i
\(394\) 8.36291 + 34.4724i 0.421317 + 1.73669i
\(395\) −5.65261 29.3285i −0.284414 1.47568i
\(396\) 0.204317 0.00973280i 0.0102673 0.000489092i
\(397\) 2.19144 11.3702i 0.109985 0.570656i −0.884567 0.466413i \(-0.845546\pi\)
0.994552 0.104243i \(-0.0332419\pi\)
\(398\) 6.37189 44.3175i 0.319394 2.22143i
\(399\) 3.91257 1.01091i 0.195874 0.0506087i
\(400\) −45.2533 29.0826i −2.26267 1.45413i
\(401\) 15.3381 + 19.5039i 0.765946 + 0.973980i 0.999998 + 0.00175600i \(0.000558951\pi\)
−0.234052 + 0.972224i \(0.575199\pi\)
\(402\) 4.92787 + 0.470555i 0.245780 + 0.0234691i
\(403\) −43.3270 4.13723i −2.15827 0.206090i
\(404\) −5.63032 7.15953i −0.280119 0.356200i
\(405\) −3.36290 2.16120i −0.167104 0.107391i
\(406\) −9.10058 + 8.93903i −0.451654 + 0.443637i
\(407\) 0.0705063 0.490382i 0.00349487 0.0243073i
\(408\) −0.850224 + 4.41138i −0.0420924 + 0.218396i
\(409\) 2.49444 0.118825i 0.123342 0.00587550i 0.0141798 0.999899i \(-0.495486\pi\)
0.109162 + 0.994024i \(0.465183\pi\)
\(410\) −7.96243 41.3130i −0.393236 2.04030i
\(411\) 4.39536 + 18.1179i 0.216807 + 0.893691i
\(412\) −0.319235 + 0.699028i −0.0157276 + 0.0344386i
\(413\) 19.6070 31.5284i 0.964795 1.55141i
\(414\) 5.34946 5.75164i 0.262912 0.282678i
\(415\) 4.10420 + 7.10868i 0.201467 + 0.348951i
\(416\) −18.2769 + 13.0149i −0.896099 + 0.638109i
\(417\) 4.94253 4.71269i 0.242037 0.230782i
\(418\) 0.708480 + 0.245207i 0.0346529 + 0.0119935i
\(419\) 4.62277 2.97087i 0.225837 0.145137i −0.422830 0.906209i \(-0.638963\pi\)
0.648667 + 0.761072i \(0.275327\pi\)
\(420\) −2.13631 6.89527i −0.104241 0.336455i
\(421\) 12.1809 + 1.75135i 0.593661 + 0.0853556i 0.432596 0.901588i \(-0.357598\pi\)
0.161066 + 0.986944i \(0.448507\pi\)
\(422\) 20.0970 + 19.1625i 0.978307 + 0.932814i
\(423\) 3.85862 + 7.48468i 0.187612 + 0.363917i
\(424\) 5.38111 13.4414i 0.261330 0.652770i
\(425\) 13.2602 18.6213i 0.643212 0.903266i
\(426\) −8.74631 + 3.99431i −0.423760 + 0.193525i
\(427\) 3.20327 + 4.35990i 0.155017 + 0.210991i
\(428\) −2.97456 + 4.62850i −0.143781 + 0.223727i
\(429\) 1.25126 1.31229i 0.0604115 0.0633578i
\(430\) 43.8104 55.7094i 2.11272 2.68655i
\(431\) −4.40593 + 1.52491i −0.212226 + 0.0734521i −0.431112 0.902298i \(-0.641879\pi\)
0.218886 + 0.975750i \(0.429758\pi\)
\(432\) 2.24495 4.35459i 0.108010 0.209510i
\(433\) −10.6059 12.2399i −0.509687 0.588210i 0.441332 0.897344i \(-0.354506\pi\)
−0.951018 + 0.309134i \(0.899961\pi\)
\(434\) 29.6066 + 9.75726i 1.42116 + 0.468363i
\(435\) 10.7044 + 4.88852i 0.513235 + 0.234387i
\(436\) −4.86099 + 2.80650i −0.232799 + 0.134407i
\(437\) 6.62481 3.12541i 0.316908 0.149509i
\(438\) 3.78245 6.55140i 0.180733 0.313038i
\(439\) 1.59910 + 16.7465i 0.0763209 + 0.799269i 0.949893 + 0.312575i \(0.101191\pi\)
−0.873572 + 0.486694i \(0.838203\pi\)
\(440\) −0.728308 + 2.48039i −0.0347207 + 0.118248i
\(441\) −2.71760 + 6.45094i −0.129410 + 0.307188i
\(442\) −11.1541 17.3561i −0.530546 0.825546i
\(443\) −9.47464 1.82609i −0.450154 0.0867600i −0.0408644 0.999165i \(-0.513011\pi\)
−0.409289 + 0.912405i \(0.634223\pi\)
\(444\) 0.886893 + 0.697461i 0.0420901 + 0.0331000i
\(445\) 2.99583 12.3490i 0.142016 0.585397i
\(446\) 14.6875 + 0.699653i 0.695474 + 0.0331295i
\(447\) −0.326590 2.27148i −0.0154472 0.107437i
\(448\) −9.09281 + 3.79778i −0.429595 + 0.179428i
\(449\) −3.76151 8.23655i −0.177517 0.388707i 0.799868 0.600176i \(-0.204903\pi\)
−0.977385 + 0.211469i \(0.932175\pi\)
\(450\) −14.1358 + 11.1165i −0.666370 + 0.524039i
\(451\) −1.71177 + 0.882481i −0.0806043 + 0.0415544i
\(452\) −6.29417 1.52695i −0.296053 0.0718216i
\(453\) 1.84271 + 4.60288i 0.0865783 + 0.216262i
\(454\) −18.6421 + 21.5141i −0.874916 + 1.00971i
\(455\) −55.8853 31.1686i −2.61995 1.46121i
\(456\) 2.49080 2.15829i 0.116642 0.101071i
\(457\) −31.2995 + 7.59317i −1.46413 + 0.355193i −0.887117 0.461544i \(-0.847296\pi\)
−0.577010 + 0.816737i \(0.695781\pi\)
\(458\) 0.521157 + 0.731862i 0.0243520 + 0.0341977i
\(459\) 1.80306 + 1.04100i 0.0841599 + 0.0485897i
\(460\) −6.13974 11.5550i −0.286267 0.538754i
\(461\) 20.2505i 0.943158i −0.881824 0.471579i \(-0.843684\pi\)
0.881824 0.471579i \(-0.156316\pi\)
\(462\) −1.08197 + 0.718253i −0.0503376 + 0.0334162i
\(463\) −13.0970 3.84563i −0.608670 0.178722i −0.0371497 0.999310i \(-0.511828\pi\)
−0.571520 + 0.820588i \(0.693646\pi\)
\(464\) −4.71707 + 13.6291i −0.218985 + 0.632714i
\(465\) −1.36831 28.7244i −0.0634540 1.33206i
\(466\) −5.99066 17.3089i −0.277512 0.801818i
\(467\) −26.9231 + 10.7784i −1.24585 + 0.498765i −0.898502 0.438970i \(-0.855343\pi\)
−0.347352 + 0.937735i \(0.612919\pi\)
\(468\) 1.16340 + 3.96217i 0.0537781 + 0.183152i
\(469\) −7.22388 + 3.42954i −0.333568 + 0.158361i
\(470\) 54.5717 7.84622i 2.51720 0.361919i
\(471\) −15.8160 11.2625i −0.728762 0.518949i
\(472\) 2.87835 30.1435i 0.132487 1.38747i
\(473\) −3.01172 1.20571i −0.138479 0.0554387i
\(474\) 0.582287 12.2237i 0.0267453 0.561454i
\(475\) −16.0911 + 4.72477i −0.738310 + 0.216787i
\(476\) 1.28227 + 3.53424i 0.0587727 + 0.161991i
\(477\) −5.07092 4.39398i −0.232181 0.201186i
\(478\) 8.47937 + 4.37142i 0.387837 + 0.199944i
\(479\) −10.4184 + 2.00798i −0.476028 + 0.0917469i −0.421621 0.906772i \(-0.638539\pi\)
−0.0544066 + 0.998519i \(0.517327\pi\)
\(480\) −10.2302 10.7291i −0.466942 0.489715i
\(481\) 9.95640 0.950721i 0.453973 0.0433491i
\(482\) 1.69042 0.0769967
\(483\) −2.65425 + 12.4079i −0.120773 + 0.564577i
\(484\) 7.44648 0.338476
\(485\) −45.6612 + 4.36012i −2.07337 + 0.197983i
\(486\) −1.13024 1.18536i −0.0512687 0.0537691i
\(487\) 34.8467 6.71616i 1.57906 0.304338i 0.677008 0.735975i \(-0.263276\pi\)
0.902047 + 0.431637i \(0.142064\pi\)
\(488\) 3.92189 + 2.02187i 0.177536 + 0.0915260i
\(489\) −0.433520 0.375648i −0.0196045 0.0169874i
\(490\) 34.0935 + 30.6282i 1.54019 + 1.38364i
\(491\) −25.8174 + 7.58067i −1.16512 + 0.342111i −0.806421 0.591342i \(-0.798599\pi\)
−0.358701 + 0.933452i \(0.616780\pi\)
\(492\) 0.208694 4.38102i 0.00940863 0.197511i
\(493\) −5.68996 2.27792i −0.256263 0.102592i
\(494\) −1.43870 + 15.0668i −0.0647303 + 0.677886i
\(495\) 0.975878 + 0.694919i 0.0438624 + 0.0312343i
\(496\) 34.8851 5.01572i 1.56639 0.225212i
\(497\) 8.82082 12.7846i 0.395668 0.573468i
\(498\) 0.947503 + 3.22690i 0.0424586 + 0.144601i
\(499\) −9.06526 + 3.62918i −0.405817 + 0.162465i −0.565585 0.824690i \(-0.691350\pi\)
0.159768 + 0.987155i \(0.448925\pi\)
\(500\) 5.33625 + 15.4181i 0.238644 + 0.689518i
\(501\) 0.825934 + 17.3385i 0.0369000 + 0.774627i
\(502\) 2.79492 8.07539i 0.124743 0.360422i
\(503\) 27.6562 + 8.12060i 1.23313 + 0.362080i 0.832430 0.554130i \(-0.186949\pi\)
0.400700 + 0.916209i \(0.368767\pi\)
\(504\) 0.356269 + 5.69791i 0.0158695 + 0.253805i
\(505\) 53.3458i 2.37386i
\(506\) −1.68340 + 1.64549i −0.0748362 + 0.0731511i
\(507\) 20.4429 + 11.8027i 0.907901 + 0.524177i
\(508\) 6.68196 + 9.38350i 0.296464 + 0.416326i
\(509\) 21.4064 5.19315i 0.948824 0.230182i 0.268654 0.963237i \(-0.413421\pi\)
0.680170 + 0.733055i \(0.261906\pi\)
\(510\) 10.3019 8.92665i 0.456176 0.395279i
\(511\) 0.181403 + 12.2189i 0.00802481 + 0.540533i
\(512\) −1.94785 + 2.24794i −0.0860836 + 0.0993458i
\(513\) −0.567669 1.41797i −0.0250632 0.0626048i
\(514\) −12.2945 2.98260i −0.542286 0.131557i
\(515\) −4.00053 + 2.06242i −0.176285 + 0.0908810i
\(516\) 5.80750 4.56707i 0.255661 0.201054i
\(517\) −1.04836 2.29559i −0.0461069 0.100960i
\(518\) −7.10488 0.914096i −0.312170 0.0401631i
\(519\) 3.09474 + 21.5244i 0.135844 + 0.944815i
\(520\) −52.1293 2.48322i −2.28602 0.108896i
\(521\) −4.92369 + 20.2957i −0.215711 + 0.889172i 0.756298 + 0.654228i \(0.227006\pi\)
−0.972009 + 0.234945i \(0.924509\pi\)
\(522\) 3.78994 + 2.98044i 0.165881 + 0.130450i
\(523\) 27.4732 + 5.29503i 1.20132 + 0.231535i 0.750372 0.661015i \(-0.229874\pi\)
0.450947 + 0.892551i \(0.351086\pi\)
\(524\) 2.94009 + 4.57487i 0.128438 + 0.199854i
\(525\) 10.3953 27.1264i 0.453687 1.18389i
\(526\) 9.31020 31.7076i 0.405944 1.38252i
\(527\) 1.42370 + 14.9096i 0.0620172 + 0.649473i
\(528\) −0.734130 + 1.27155i −0.0319489 + 0.0553371i
\(529\) −0.523732 + 22.9940i −0.0227710 + 0.999741i
\(530\) −38.0451 + 21.9653i −1.65257 + 0.954113i
\(531\) −12.7649 5.82952i −0.553948 0.252980i
\(532\) 0.863305 2.61954i 0.0374290 0.113571i
\(533\) −25.4607 29.3832i −1.10282 1.27273i
\(534\) 2.38569 4.62759i 0.103239 0.200256i
\(535\) −30.4518 + 10.5395i −1.31655 + 0.455661i
\(536\) −4.03156 + 5.12654i −0.174137 + 0.221433i
\(537\) −10.3750 + 10.8810i −0.447715 + 0.469550i
\(538\) −0.799349 + 1.24381i −0.0344624 + 0.0536245i
\(539\) 0.905515 1.89236i 0.0390033 0.0815098i
\(540\) −2.48183 + 1.13341i −0.106801 + 0.0487743i
\(541\) 8.65680 12.1568i 0.372185 0.522660i −0.585426 0.810726i \(-0.699073\pi\)
0.957611 + 0.288066i \(0.0930121\pi\)
\(542\) 16.4675 41.1339i 0.707341 1.76685i
\(543\) −9.25631 17.9547i −0.397226 0.770511i
\(544\) 5.58802 + 5.32817i 0.239584 + 0.228443i
\(545\) −32.5401 4.67856i −1.39387 0.200408i
\(546\) −19.2411 17.8086i −0.823442 0.762137i
\(547\) −6.77488 + 4.35395i −0.289673 + 0.186161i −0.677404 0.735611i \(-0.736895\pi\)
0.387731 + 0.921772i \(0.373259\pi\)
\(548\) 12.0248 + 4.16182i 0.513674 + 0.177784i
\(549\) 1.47992 1.41110i 0.0631615 0.0602244i
\(550\) 4.39014 3.12620i 0.187196 0.133302i
\(551\) 2.24815 + 3.89391i 0.0957743 + 0.165886i
\(552\) 2.56440 + 10.0257i 0.109148 + 0.426724i
\(553\) 9.31826 + 17.4345i 0.396253 + 0.741390i
\(554\) −14.5806 + 31.9270i −0.619468 + 1.35645i
\(555\) 1.55796 + 6.42199i 0.0661316 + 0.272598i
\(556\) −0.882120 4.57688i −0.0374102 0.194103i
\(557\) 26.9842 1.28542i 1.14336 0.0544648i 0.532661 0.846329i \(-0.321192\pi\)
0.610697 + 0.791864i \(0.290889\pi\)
\(558\) 2.22981 11.5693i 0.0943953 0.489770i
\(559\) 9.32054 64.8258i 0.394217 2.74184i
\(560\) 49.9281 + 13.8586i 2.10985 + 0.585631i
\(561\) −0.524910 0.337339i −0.0221617 0.0142425i
\(562\) 3.41839 + 4.34684i 0.144196 + 0.183360i
\(563\) −40.1705 3.83581i −1.69298 0.161660i −0.796470 0.604678i \(-0.793302\pi\)
−0.896513 + 0.443018i \(0.853908\pi\)
\(564\) 5.72136 + 0.546324i 0.240913 + 0.0230044i
\(565\) −23.4490 29.8178i −0.986507 1.25445i
\(566\) 7.07080 + 4.54413i 0.297208 + 0.191004i
\(567\) 2.54937 + 0.707628i 0.107063 + 0.0297176i
\(568\) 1.80282 12.5389i 0.0756445 0.526119i
\(569\) 0.566552 2.93955i 0.0237511 0.123232i −0.968118 0.250494i \(-0.919407\pi\)
0.991869 + 0.127262i \(0.0406189\pi\)
\(570\) −9.98879 + 0.475825i −0.418384 + 0.0199301i
\(571\) −7.95773 41.2886i −0.333021 1.72788i −0.633195 0.773992i \(-0.718257\pi\)
0.300175 0.953884i \(-0.402955\pi\)
\(572\) −0.291767 1.20268i −0.0121994 0.0502867i
\(573\) −6.64257 + 14.5452i −0.277497 + 0.607634i
\(574\) 13.1260 + 24.5587i 0.547867 + 1.02506i
\(575\) 9.32292 51.8258i 0.388793 2.16128i
\(576\) 1.86224 + 3.22550i 0.0775934 + 0.134396i
\(577\) −26.8561 + 19.1242i −1.11804 + 0.796150i −0.980921 0.194406i \(-0.937722\pi\)
−0.137114 + 0.990555i \(0.543783\pi\)
\(578\) 15.0129 14.3148i 0.624456 0.595417i
\(579\) −11.8593 4.10455i −0.492856 0.170579i
\(580\) 6.75680 4.34233i 0.280561 0.180305i
\(581\) −3.98709 3.69026i −0.165413 0.153098i
\(582\) −18.6020 2.67457i −0.771080 0.110865i
\(583\) 1.45534 + 1.38767i 0.0602741 + 0.0574712i
\(584\) 4.56695 + 8.85864i 0.188982 + 0.366573i
\(585\) −8.98893 + 22.4533i −0.371647 + 0.928329i
\(586\) −2.30460 + 3.23636i −0.0952022 + 0.133693i
\(587\) −4.61817 + 2.10905i −0.190612 + 0.0870498i −0.508435 0.861100i \(-0.669776\pi\)
0.317822 + 0.948150i \(0.397048\pi\)
\(588\) 2.70118 + 3.94079i 0.111395 + 0.162515i
\(589\) 5.94035 9.24337i 0.244768 0.380866i
\(590\) −63.4027 + 66.4949i −2.61025 + 2.73755i
\(591\) −13.3881 + 17.0243i −0.550711 + 0.700286i
\(592\) −7.65348 + 2.64889i −0.314556 + 0.108869i
\(593\) −10.7905 + 20.9306i −0.443111 + 0.859515i 0.556479 + 0.830862i \(0.312152\pi\)
−0.999589 + 0.0286530i \(0.990878\pi\)
\(594\) 0.321439 + 0.370960i 0.0131888 + 0.0152207i
\(595\) −6.89233 + 20.9135i −0.282558 + 0.857370i
\(596\) −1.42475 0.650660i −0.0583599 0.0266521i
\(597\) 23.6743 13.6684i 0.968924 0.559408i
\(598\) −40.2952 25.1949i −1.64779 1.03030i
\(599\) −0.337787 + 0.585064i −0.0138016 + 0.0239051i −0.872844 0.488000i \(-0.837727\pi\)
0.859042 + 0.511905i \(0.171060\pi\)
\(600\) −2.25212 23.5853i −0.0919424 0.962864i
\(601\) 9.45274 32.1931i 0.385585 1.31318i −0.506861 0.862028i \(-0.669194\pi\)
0.892446 0.451154i \(-0.148988\pi\)
\(602\) −16.7853 + 43.8011i −0.684117 + 1.78520i
\(603\) 1.63406 + 2.54264i 0.0665439 + 0.103544i
\(604\) 3.32283 + 0.640423i 0.135204 + 0.0260584i
\(605\) 34.2824 + 26.9599i 1.39378 + 1.09608i
\(606\) 5.15292 21.2406i 0.209323 0.862842i
\(607\) −29.3031 1.39588i −1.18938 0.0566570i −0.556458 0.830876i \(-0.687840\pi\)
−0.632918 + 0.774219i \(0.718143\pi\)
\(608\) −0.806111 5.60663i −0.0326921 0.227379i
\(609\) −7.72489 0.993866i −0.313029 0.0402735i
\(610\) −5.56161 12.1782i −0.225183 0.493082i
\(611\) 40.0476 31.4938i 1.62015 1.27410i
\(612\) 1.26305 0.651148i 0.0510558 0.0263211i
\(613\) 31.2756 + 7.58738i 1.26321 + 0.306451i 0.810781 0.585349i \(-0.199043\pi\)
0.452429 + 0.891801i \(0.350558\pi\)
\(614\) 6.45081 + 16.1133i 0.260333 + 0.650281i
\(615\) 16.8222 19.4139i 0.678338 0.782844i
\(616\) −0.0253983 1.71077i −0.00102333 0.0689290i
\(617\) −6.55121 + 5.67666i −0.263742 + 0.228534i −0.776685 0.629889i \(-0.783100\pi\)
0.512943 + 0.858422i \(0.328555\pi\)
\(618\) −1.79211 + 0.434760i −0.0720891 + 0.0174886i
\(619\) −12.4672 17.5077i −0.501099 0.703696i 0.484118 0.875003i \(-0.339140\pi\)
−0.985218 + 0.171307i \(0.945201\pi\)
\(620\) −16.9978 9.81370i −0.682649 0.394128i
\(621\) 4.77941 + 0.396576i 0.191791 + 0.0159140i
\(622\) 32.6109i 1.30758i
\(623\) 0.524839 + 8.39390i 0.0210272 + 0.336294i
\(624\) −28.4407 8.35095i −1.13854 0.334306i
\(625\) −13.2980 + 38.4222i −0.531922 + 1.53689i
\(626\) −2.10388 44.1660i −0.0840881 1.76523i
\(627\) 0.149714 + 0.432569i 0.00597899 + 0.0172751i
\(628\) −12.3028 + 4.92529i −0.490935 + 0.196541i
\(629\) −0.969657 3.30235i −0.0386628 0.131673i
\(630\) 9.83740 14.2580i 0.391931 0.568052i
\(631\) 12.9495 1.86186i 0.515512 0.0741194i 0.120351 0.992731i \(-0.461598\pi\)
0.395161 + 0.918612i \(0.370689\pi\)
\(632\) 13.1332 + 9.35208i 0.522409 + 0.372006i
\(633\) −1.61161 + 16.8776i −0.0640558 + 0.670823i
\(634\) −12.5021 5.00507i −0.496520 0.198777i
\(635\) −3.21028 + 67.3921i −0.127396 + 2.67437i
\(636\) −4.39410 + 1.29022i −0.174237 + 0.0511607i
\(637\) 41.4361 + 8.75859i 1.64176 + 0.347028i
\(638\) −1.09203 0.946251i −0.0432340 0.0374624i
\(639\) −5.21806 2.69009i −0.206423 0.106419i
\(640\) 53.0580 10.2261i 2.09730 0.404222i
\(641\) −13.9555 14.6362i −0.551211 0.578093i 0.387903 0.921700i \(-0.373200\pi\)
−0.939113 + 0.343607i \(0.888351\pi\)
\(642\) −13.1430 + 1.25501i −0.518714 + 0.0495312i
\(643\) −30.2393 −1.19252 −0.596260 0.802791i \(-0.703347\pi\)
−0.596260 + 0.802791i \(0.703347\pi\)
\(644\) 6.14488 + 6.10253i 0.242142 + 0.240473i
\(645\) 43.2718 1.70383
\(646\) 5.18475 0.495084i 0.203991 0.0194788i
\(647\) 21.9438 + 23.0140i 0.862700 + 0.904773i 0.996272 0.0862657i \(-0.0274934\pi\)
−0.133573 + 0.991039i \(0.542645\pi\)
\(648\) 2.11882 0.408369i 0.0832351 0.0160423i
\(649\) 3.73808 + 1.92712i 0.146733 + 0.0756459i
\(650\) 82.2281 + 71.2510i 3.22525 + 2.79470i
\(651\) 6.49138 + 17.8918i 0.254417 + 0.701233i
\(652\) −0.375658 + 0.110303i −0.0147119 + 0.00431980i
\(653\) 0.450944 9.46647i 0.0176468 0.370452i −0.972720 0.231983i \(-0.925479\pi\)
0.990367 0.138469i \(-0.0442182\pi\)
\(654\) −12.5045 5.00606i −0.488966 0.195752i
\(655\) −3.02761 + 31.7065i −0.118298 + 1.23888i
\(656\) 25.6452 + 18.2619i 1.00128 + 0.713005i
\(657\) 4.57181 0.657327i 0.178363 0.0256448i
\(658\) −32.9637 + 15.6495i −1.28506 + 0.610081i
\(659\) 5.74657 + 19.5710i 0.223855 + 0.762379i 0.992451 + 0.122645i \(0.0391375\pi\)
−0.768596 + 0.639734i \(0.779044\pi\)
\(660\) 0.759107 0.303900i 0.0295482 0.0118293i
\(661\) −6.23434 18.0129i −0.242488 0.700622i −0.998916 0.0465457i \(-0.985179\pi\)
0.756429 0.654076i \(-0.226943\pi\)
\(662\) −1.97417 41.4430i −0.0767285 1.61073i
\(663\) 4.11995 11.9038i 0.160005 0.462305i
\(664\) −4.25136 1.24831i −0.164985 0.0484439i
\(665\) 13.4585 8.93432i 0.521900 0.346458i
\(666\) 2.70753i 0.104914i
\(667\) −14.0926 + 0.846759i −0.545666 + 0.0327866i
\(668\) 10.2601 + 5.92369i 0.396976 + 0.229194i
\(669\) 5.20762 + 7.31308i 0.201338 + 0.282740i
\(670\) 19.2309 4.66536i 0.742954 0.180239i
\(671\) −0.463143 + 0.401315i −0.0178794 + 0.0154926i
\(672\) 8.56913 + 4.77921i 0.330561 + 0.184362i
\(673\) 27.9048 32.2038i 1.07565 1.24137i 0.106652 0.994296i \(-0.465987\pi\)
0.968998 0.247070i \(-0.0794677\pi\)
\(674\) −5.82883 14.5597i −0.224518 0.560819i
\(675\) −10.6704 2.58860i −0.410703 0.0996354i
\(676\) 14.3203 7.38263i 0.550781 0.283947i
\(677\) −30.4316 + 23.9317i −1.16958 + 0.919769i −0.997861 0.0653762i \(-0.979175\pi\)
−0.171721 + 0.985146i \(0.554933\pi\)
\(678\) −6.45642 14.1376i −0.247957 0.542950i
\(679\) 28.0133 11.7003i 1.07505 0.449015i
\(680\) 2.55583 + 17.7762i 0.0980116 + 0.681685i
\(681\) −17.3613 0.827019i −0.665285 0.0316914i
\(682\) −0.832481 + 3.43153i −0.0318773 + 0.131400i
\(683\) 8.45916 + 6.65236i 0.323681 + 0.254545i 0.766755 0.641939i \(-0.221870\pi\)
−0.443075 + 0.896485i \(0.646112\pi\)
\(684\) −1.02364 0.197290i −0.0391397 0.00754355i
\(685\) 40.2923 + 62.6960i 1.53949 + 2.39549i
\(686\) −27.5533 12.6854i −1.05199 0.484331i
\(687\) −0.154548 + 0.526341i −0.00589637 + 0.0200812i
\(688\) 5.04108 + 52.7926i 0.192190 + 2.01270i
\(689\) −20.2979 + 35.1570i −0.773289 + 1.33938i
\(690\) 12.6883 28.7217i 0.483034 1.09342i
\(691\) 23.1360 13.3576i 0.880133 0.508145i 0.00943102 0.999956i \(-0.496998\pi\)
0.870702 + 0.491810i \(0.163665\pi\)
\(692\) 13.5008 + 6.16559i 0.513222 + 0.234381i
\(693\) −0.753071 0.248185i −0.0286068 0.00942777i
\(694\) −28.2788 32.6355i −1.07345 1.23883i
\(695\) 12.5094 24.2649i 0.474509 0.920420i
\(696\) −6.00281 + 2.07759i −0.227536 + 0.0787510i
\(697\) −8.27045 + 10.5167i −0.313266 + 0.398350i
\(698\) 2.36158 2.47676i 0.0893873 0.0937467i
\(699\) 6.04608 9.40788i 0.228684 0.355839i
\(700\) −11.7395 15.9784i −0.443711 0.603927i
\(701\) 33.8350 15.4519i 1.27793 0.583612i 0.343299 0.939226i \(-0.388456\pi\)
0.934633 + 0.355615i \(0.115728\pi\)
\(702\) −5.74798 + 8.07191i −0.216944 + 0.304655i
\(703\) −0.938417 + 2.34405i −0.0353931 + 0.0884076i
\(704\) −0.511473 0.992120i −0.0192769 0.0373919i
\(705\) 24.3623 + 23.2294i 0.917536 + 0.874868i
\(706\) 12.6181 + 1.81421i 0.474888 + 0.0682785i
\(707\) 10.4490 + 33.7256i 0.392974 + 1.26838i
\(708\) −8.05742 + 5.17819i −0.302817 + 0.194608i
\(709\) 31.3223 + 10.8408i 1.17633 + 0.407133i 0.844163 0.536087i \(-0.180098\pi\)
0.332170 + 0.943219i \(0.392219\pi\)
\(710\) −27.8179 + 26.5244i −1.04399 + 0.995441i
\(711\) 6.08632 4.33405i 0.228255 0.162540i
\(712\) 3.42962 + 5.94028i 0.128530 + 0.222621i
\(713\) 17.6196 + 29.6616i 0.659860 + 1.11083i
\(714\) −4.76444 + 7.66134i −0.178305 + 0.286718i
\(715\) 3.01106 6.59329i 0.112607 0.246575i
\(716\) 2.41923 + 9.97220i 0.0904109 + 0.372679i
\(717\) 1.10232 + 5.71939i 0.0411670 + 0.213595i
\(718\) −22.0839 + 1.05199i −0.824165 + 0.0392598i
\(719\) 8.11588 42.1092i 0.302671 1.57041i −0.438274 0.898842i \(-0.644410\pi\)
0.740945 0.671566i \(-0.234378\pi\)
\(720\) 2.78717 19.3852i 0.103872 0.722443i
\(721\) 2.12519 2.08747i 0.0791463 0.0777414i
\(722\) 22.9646 + 14.7585i 0.854655 + 0.549253i
\(723\) 0.638005 + 0.811289i 0.0237277 + 0.0301722i
\(724\) −13.7248 1.31056i −0.510078 0.0487065i
\(725\) 32.1762 + 3.07246i 1.19500 + 0.114108i
\(726\) 11.0460 + 14.0461i 0.409955 + 0.521300i
\(727\) −17.0012 10.9260i −0.630541 0.405224i 0.185969 0.982556i \(-0.440458\pi\)
−0.816510 + 0.577331i \(0.804094\pi\)
\(728\) 33.4428 8.64076i 1.23947 0.320248i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) 5.72307 29.6941i 0.211820 1.09903i
\(731\) −22.5116 + 1.07236i −0.832622 + 0.0396627i
\(732\) −0.264130 1.37044i −0.00976252 0.0506528i
\(733\) −7.78976 32.1098i −0.287721 1.18600i −0.913774 0.406223i \(-0.866846\pi\)
0.626053 0.779781i \(-0.284669\pi\)
\(734\) 6.56131 14.3673i 0.242182 0.530305i
\(735\) −1.83181 + 27.9224i −0.0675673 + 1.02993i
\(736\) 16.8781 + 5.60794i 0.622134 + 0.206711i
\(737\) −0.452903 0.784451i −0.0166829 0.0288956i
\(738\) 8.57337 6.10507i 0.315590 0.224731i
\(739\) −12.0182 + 11.4593i −0.442096 + 0.421538i −0.878152 0.478382i \(-0.841224\pi\)
0.436056 + 0.899920i \(0.356375\pi\)
\(740\) 4.26225 + 1.47518i 0.156683 + 0.0542286i
\(741\) −7.77403 + 4.99606i −0.285586 + 0.183535i
\(742\) 19.7499 21.3386i 0.725043 0.783364i
\(743\) 25.3746 + 3.64831i 0.930902 + 0.133844i 0.591050 0.806635i \(-0.298714\pi\)
0.339853 + 0.940479i \(0.389623\pi\)
\(744\) 11.2344 + 10.7120i 0.411873 + 0.392720i
\(745\) −4.20358 8.15382i −0.154007 0.298733i
\(746\) −2.64077 + 6.59632i −0.0966854 + 0.241508i
\(747\) −1.19108 + 1.67264i −0.0435795 + 0.0611988i
\(748\) −0.387385 + 0.176913i −0.0141642 + 0.00646857i
\(749\) 17.1874 12.6278i 0.628016 0.461409i
\(750\) −21.1670 + 32.9365i −0.772911 + 1.20267i
\(751\) 26.6613 27.9616i 0.972885 1.02033i −0.0269011 0.999638i \(-0.508564\pi\)
0.999786 0.0206940i \(-0.00658758\pi\)
\(752\) −25.5022 + 32.4287i −0.929970 + 1.18255i
\(753\) 4.93051 1.70647i 0.179678 0.0621871i
\(754\) 13.3670 25.9283i 0.486797 0.944254i
\(755\) 12.9791 + 14.9787i 0.472358 + 0.545131i
\(756\) 1.34702 1.20267i 0.0489907 0.0437407i
\(757\) 21.1386 + 9.65368i 0.768296 + 0.350869i 0.760701 0.649102i \(-0.224855\pi\)
0.00759472 + 0.999971i \(0.497583\pi\)
\(758\) −4.78032 + 2.75992i −0.173629 + 0.100245i
\(759\) −1.42508 0.186871i −0.0517271 0.00678298i
\(760\) 6.58745 11.4098i 0.238952 0.413877i
\(761\) −3.46045 36.2395i −0.125441 1.31368i −0.810734 0.585414i \(-0.800932\pi\)
0.685293 0.728267i \(-0.259674\pi\)
\(762\) −7.78796 + 26.5233i −0.282128 + 0.960839i
\(763\) 21.4885 3.41589i 0.777935 0.123663i
\(764\) 5.90040 + 9.18120i 0.213469 + 0.332164i
\(765\) 8.17236 + 1.57509i 0.295472 + 0.0569476i
\(766\) −14.6999 11.5602i −0.531131 0.417686i
\(767\) −20.0166 + 82.5097i −0.722759 + 2.97925i
\(768\) 14.6733 + 0.698975i 0.529477 + 0.0252221i
\(769\) 5.92206 + 41.1888i 0.213555 + 1.48531i 0.761156 + 0.648568i \(0.224632\pi\)
−0.547601 + 0.836739i \(0.684459\pi\)
\(770\) −3.14818 + 4.12791i −0.113453 + 0.148759i
\(771\) −3.20876 7.02621i −0.115561 0.253043i
\(772\) −6.73284 + 5.29476i −0.242320 + 0.190563i
\(773\) −6.78871 + 3.49982i −0.244173 + 0.125880i<