Properties

Label 230.2.g.d.141.3
Level $230$
Weight $2$
Character 230.141
Analytic conductor $1.837$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(3\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 141.3
Character \(\chi\) \(=\) 230.141
Dual form 230.2.g.d.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.30924 - 2.86684i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-3.02398 - 0.887921i) q^{6} +(-0.493060 + 0.316870i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-4.54006 - 5.23951i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(1.30924 - 2.86684i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-3.02398 - 0.887921i) q^{6} +(-0.493060 + 0.316870i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-4.54006 - 5.23951i) q^{9} +(-0.841254 - 0.540641i) q^{10} +(-0.242232 + 1.68476i) q^{11} +(-0.448526 + 3.11956i) q^{12} +(5.25515 + 3.37728i) q^{13} +(0.383815 + 0.442946i) q^{14} +(-1.30924 - 2.86684i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-2.14296 - 0.629229i) q^{17} +(-4.54006 + 5.23951i) q^{18} +(1.47258 - 0.432387i) q^{19} +(-0.415415 + 0.909632i) q^{20} +(0.262882 + 1.82838i) q^{21} +1.70208 q^{22} +(-1.29994 + 4.61629i) q^{23} +3.15164 q^{24} +(-0.142315 - 0.989821i) q^{25} +(2.59502 - 5.68230i) q^{26} +(-11.8929 + 3.49207i) q^{27} +(0.383815 - 0.442946i) q^{28} +(0.262809 + 0.0771677i) q^{29} +(-2.65133 + 1.70391i) q^{30} +(-3.69829 - 8.09813i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(4.51279 + 2.90019i) q^{33} +(-0.317850 + 2.21069i) q^{34} +(-0.0834109 + 0.580136i) q^{35} +(5.83229 + 3.74819i) q^{36} +(5.54390 + 6.39800i) q^{37} +(-0.637555 - 1.39605i) q^{38} +(16.5624 - 10.6440i) q^{39} +(0.959493 + 0.281733i) q^{40} +(2.02311 - 2.33479i) q^{41} +(1.77236 - 0.520412i) q^{42} +(3.08429 - 6.75365i) q^{43} +(-0.242232 - 1.68476i) q^{44} -6.93286 q^{45} +(4.75431 + 0.629743i) q^{46} -5.72656 q^{47} +(-0.448526 - 3.11956i) q^{48} +(-2.76520 + 6.05495i) q^{49} +(-0.959493 + 0.281733i) q^{50} +(-4.60954 + 5.31969i) q^{51} +(-5.99377 - 1.75993i) q^{52} +(8.65325 - 5.56110i) q^{53} +(5.14906 + 11.2749i) q^{54} +(1.11463 + 1.28635i) q^{55} +(-0.493060 - 0.316870i) q^{56} +(0.688372 - 4.78773i) q^{57} +(0.0389806 - 0.271116i) q^{58} +(-5.47617 - 3.51932i) q^{59} +(2.06389 + 2.38185i) q^{60} +(4.86419 + 10.6511i) q^{61} +(-7.48938 + 4.81313i) q^{62} +(3.89876 + 1.14478i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(5.99377 - 1.75993i) q^{65} +(2.22844 - 4.87959i) q^{66} +(1.87379 + 13.0325i) q^{67} +2.23343 q^{68} +(11.5322 + 9.77055i) q^{69} +0.586101 q^{70} +(-1.13073 - 7.86440i) q^{71} +(2.88001 - 6.30635i) q^{72} +(-1.37667 + 0.404227i) q^{73} +(5.54390 - 6.39800i) q^{74} +(-3.02398 - 0.887921i) q^{75} +(-1.29111 + 0.829745i) q^{76} +(-0.414415 - 0.907443i) q^{77} +(-12.8927 - 14.8790i) q^{78} +(9.95391 + 6.39699i) q^{79} +(0.142315 - 0.989821i) q^{80} +(-2.59952 + 18.0800i) q^{81} +(-2.59894 - 1.67024i) q^{82} +(-2.84544 - 3.28382i) q^{83} +(-0.767348 - 1.68026i) q^{84} +(-1.87888 + 1.20748i) q^{85} +(-7.12385 - 2.09175i) q^{86} +(0.565307 - 0.652399i) q^{87} +(-1.63314 + 0.479532i) q^{88} +(-4.46450 + 9.77589i) q^{89} +(0.986649 + 6.86229i) q^{90} -3.66127 q^{91} +(-0.0532753 - 4.79554i) q^{92} -28.0580 q^{93} +(0.814974 + 5.66827i) q^{94} +(0.637555 - 1.39605i) q^{95} +(-3.02398 + 0.887921i) q^{96} +(-2.54448 + 2.93648i) q^{97} +(6.38685 + 1.87535i) q^{98} +(9.92705 - 6.37973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} - 26 q^{17} + 12 q^{18} - 25 q^{19} + 3 q^{20} - 11 q^{21} - 14 q^{22} + 14 q^{23} + 10 q^{24} - 3 q^{25} - 10 q^{26} - 52 q^{27} - 3 q^{28} + 4 q^{29} + q^{30} + 5 q^{31} - 3 q^{32} + 9 q^{33} + 7 q^{34} + 3 q^{35} + 12 q^{36} - 20 q^{37} + 19 q^{38} + 41 q^{39} + 3 q^{40} + 32 q^{41} + 22 q^{42} - 46 q^{43} - 3 q^{44} - 56 q^{45} + 3 q^{46} + 80 q^{47} - q^{48} - 41 q^{49} - 3 q^{50} - 34 q^{51} - 21 q^{52} + 29 q^{53} + 47 q^{54} + 3 q^{55} + 8 q^{56} - 33 q^{57} - 7 q^{58} - 3 q^{59} + q^{60} - q^{61} - 28 q^{62} - 8 q^{63} - 3 q^{64} + 21 q^{65} - 46 q^{66} - 63 q^{67} - 4 q^{68} + 78 q^{69} - 8 q^{70} + 55 q^{71} - 32 q^{72} - 36 q^{73} - 20 q^{74} - q^{75} - 3 q^{76} - 9 q^{77} - 80 q^{78} - 29 q^{79} + 3 q^{80} + 15 q^{81} - 23 q^{82} - 63 q^{83} + 4 q^{85} + 31 q^{86} + 63 q^{87} - 3 q^{88} - 95 q^{89} + 10 q^{90} - 12 q^{91} + 14 q^{92} + 126 q^{93} + 3 q^{94} - 19 q^{95} - q^{96} + 11 q^{97} + 58 q^{98} + 97 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 1.30924 2.86684i 0.755890 1.65517i 0.000407523 1.00000i \(-0.499870\pi\)
0.755483 0.655169i \(-0.227402\pi\)
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 0.654861 0.755750i 0.292863 0.337981i
\(6\) −3.02398 0.887921i −1.23453 0.362492i
\(7\) −0.493060 + 0.316870i −0.186359 + 0.119766i −0.630494 0.776194i \(-0.717148\pi\)
0.444135 + 0.895960i \(0.353511\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −4.54006 5.23951i −1.51335 1.74650i
\(10\) −0.841254 0.540641i −0.266028 0.170966i
\(11\) −0.242232 + 1.68476i −0.0730356 + 0.507974i 0.920162 + 0.391537i \(0.128056\pi\)
−0.993198 + 0.116437i \(0.962853\pi\)
\(12\) −0.448526 + 3.11956i −0.129478 + 0.900541i
\(13\) 5.25515 + 3.37728i 1.45752 + 0.936689i 0.998843 + 0.0480845i \(0.0153117\pi\)
0.458674 + 0.888605i \(0.348325\pi\)
\(14\) 0.383815 + 0.442946i 0.102579 + 0.118382i
\(15\) −1.30924 2.86684i −0.338044 0.740214i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −2.14296 0.629229i −0.519743 0.152610i 0.0113308 0.999936i \(-0.496393\pi\)
−0.531074 + 0.847325i \(0.678211\pi\)
\(18\) −4.54006 + 5.23951i −1.07010 + 1.23496i
\(19\) 1.47258 0.432387i 0.337832 0.0991964i −0.108416 0.994106i \(-0.534578\pi\)
0.446248 + 0.894909i \(0.352760\pi\)
\(20\) −0.415415 + 0.909632i −0.0928896 + 0.203400i
\(21\) 0.262882 + 1.82838i 0.0573655 + 0.398986i
\(22\) 1.70208 0.362885
\(23\) −1.29994 + 4.61629i −0.271056 + 0.962563i
\(24\) 3.15164 0.643327
\(25\) −0.142315 0.989821i −0.0284630 0.197964i
\(26\) 2.59502 5.68230i 0.508925 1.11439i
\(27\) −11.8929 + 3.49207i −2.28879 + 0.672049i
\(28\) 0.383815 0.442946i 0.0725342 0.0837089i
\(29\) 0.262809 + 0.0771677i 0.0488024 + 0.0143297i 0.306043 0.952018i \(-0.400995\pi\)
−0.257240 + 0.966347i \(0.582813\pi\)
\(30\) −2.65133 + 1.70391i −0.484065 + 0.311089i
\(31\) −3.69829 8.09813i −0.664233 1.45447i −0.878525 0.477697i \(-0.841472\pi\)
0.214292 0.976770i \(-0.431256\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 4.51279 + 2.90019i 0.785576 + 0.504859i
\(34\) −0.317850 + 2.21069i −0.0545108 + 0.379131i
\(35\) −0.0834109 + 0.580136i −0.0140990 + 0.0980608i
\(36\) 5.83229 + 3.74819i 0.972049 + 0.624698i
\(37\) 5.54390 + 6.39800i 0.911411 + 1.05182i 0.998452 + 0.0556194i \(0.0177134\pi\)
−0.0870412 + 0.996205i \(0.527741\pi\)
\(38\) −0.637555 1.39605i −0.103425 0.226469i
\(39\) 16.5624 10.6440i 2.65210 1.70440i
\(40\) 0.959493 + 0.281733i 0.151709 + 0.0445458i
\(41\) 2.02311 2.33479i 0.315956 0.364633i −0.575451 0.817836i \(-0.695173\pi\)
0.891407 + 0.453204i \(0.149719\pi\)
\(42\) 1.77236 0.520412i 0.273481 0.0803012i
\(43\) 3.08429 6.75365i 0.470350 1.02992i −0.514656 0.857397i \(-0.672080\pi\)
0.985005 0.172525i \(-0.0551926\pi\)
\(44\) −0.242232 1.68476i −0.0365178 0.253987i
\(45\) −6.93286 −1.03349
\(46\) 4.75431 + 0.629743i 0.700984 + 0.0928505i
\(47\) −5.72656 −0.835304 −0.417652 0.908607i \(-0.637147\pi\)
−0.417652 + 0.908607i \(0.637147\pi\)
\(48\) −0.448526 3.11956i −0.0647391 0.450270i
\(49\) −2.76520 + 6.05495i −0.395029 + 0.864993i
\(50\) −0.959493 + 0.281733i −0.135693 + 0.0398430i
\(51\) −4.60954 + 5.31969i −0.645465 + 0.744906i
\(52\) −5.99377 1.75993i −0.831187 0.244058i
\(53\) 8.65325 5.56110i 1.18861 0.763876i 0.211664 0.977342i \(-0.432112\pi\)
0.976950 + 0.213466i \(0.0684753\pi\)
\(54\) 5.14906 + 11.2749i 0.700698 + 1.53431i
\(55\) 1.11463 + 1.28635i 0.150296 + 0.173451i
\(56\) −0.493060 0.316870i −0.0658879 0.0423436i
\(57\) 0.688372 4.78773i 0.0911771 0.634150i
\(58\) 0.0389806 0.271116i 0.00511840 0.0355993i
\(59\) −5.47617 3.51932i −0.712936 0.458176i 0.133237 0.991084i \(-0.457463\pi\)
−0.846173 + 0.532908i \(0.821099\pi\)
\(60\) 2.06389 + 2.38185i 0.266447 + 0.307496i
\(61\) 4.86419 + 10.6511i 0.622795 + 1.36373i 0.913469 + 0.406909i \(0.133393\pi\)
−0.290674 + 0.956822i \(0.593879\pi\)
\(62\) −7.48938 + 4.81313i −0.951152 + 0.611268i
\(63\) 3.89876 + 1.14478i 0.491198 + 0.144229i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 5.99377 1.75993i 0.743436 0.218292i
\(66\) 2.22844 4.87959i 0.274302 0.600637i
\(67\) 1.87379 + 13.0325i 0.228920 + 1.59217i 0.702673 + 0.711513i \(0.251990\pi\)
−0.473754 + 0.880657i \(0.657101\pi\)
\(68\) 2.23343 0.270843
\(69\) 11.5322 + 9.77055i 1.38832 + 1.17624i
\(70\) 0.586101 0.0700525
\(71\) −1.13073 7.86440i −0.134193 0.933332i −0.940005 0.341161i \(-0.889180\pi\)
0.805812 0.592171i \(-0.201729\pi\)
\(72\) 2.88001 6.30635i 0.339413 0.743211i
\(73\) −1.37667 + 0.404227i −0.161127 + 0.0473112i −0.361301 0.932449i \(-0.617667\pi\)
0.200174 + 0.979760i \(0.435849\pi\)
\(74\) 5.54390 6.39800i 0.644465 0.743752i
\(75\) −3.02398 0.887921i −0.349179 0.102528i
\(76\) −1.29111 + 0.829745i −0.148100 + 0.0951783i
\(77\) −0.414415 0.907443i −0.0472270 0.103413i
\(78\) −12.8927 14.8790i −1.45981 1.68471i
\(79\) 9.95391 + 6.39699i 1.11990 + 0.719718i 0.963429 0.267964i \(-0.0863509\pi\)
0.156474 + 0.987682i \(0.449987\pi\)
\(80\) 0.142315 0.989821i 0.0159113 0.110665i
\(81\) −2.59952 + 18.0800i −0.288835 + 2.00889i
\(82\) −2.59894 1.67024i −0.287005 0.184447i
\(83\) −2.84544 3.28382i −0.312328 0.360446i 0.577782 0.816191i \(-0.303918\pi\)
−0.890110 + 0.455745i \(0.849373\pi\)
\(84\) −0.767348 1.68026i −0.0837245 0.183331i
\(85\) −1.87888 + 1.20748i −0.203793 + 0.130970i
\(86\) −7.12385 2.09175i −0.768184 0.225559i
\(87\) 0.565307 0.652399i 0.0606073 0.0699445i
\(88\) −1.63314 + 0.479532i −0.174093 + 0.0511183i
\(89\) −4.46450 + 9.77589i −0.473236 + 1.03624i 0.511032 + 0.859561i \(0.329263\pi\)
−0.984268 + 0.176681i \(0.943464\pi\)
\(90\) 0.986649 + 6.86229i 0.104002 + 0.723349i
\(91\) −3.66127 −0.383805
\(92\) −0.0532753 4.79554i −0.00555433 0.499969i
\(93\) −28.0580 −2.90948
\(94\) 0.814974 + 5.66827i 0.0840582 + 0.584637i
\(95\) 0.637555 1.39605i 0.0654118 0.143232i
\(96\) −3.02398 + 0.887921i −0.308634 + 0.0906230i
\(97\) −2.54448 + 2.93648i −0.258353 + 0.298155i −0.870077 0.492916i \(-0.835931\pi\)
0.611724 + 0.791071i \(0.290476\pi\)
\(98\) 6.38685 + 1.87535i 0.645169 + 0.189439i
\(99\) 9.92705 6.37973i 0.997706 0.641187i
\(100\) 0.415415 + 0.909632i 0.0415415 + 0.0909632i
\(101\) −11.3182 13.0619i −1.12621 1.29971i −0.948908 0.315553i \(-0.897810\pi\)
−0.177298 0.984157i \(-0.556736\pi\)
\(102\) 5.92155 + 3.80555i 0.586321 + 0.376806i
\(103\) 0.220091 1.53077i 0.0216862 0.150831i −0.976101 0.217317i \(-0.930270\pi\)
0.997787 + 0.0664856i \(0.0211787\pi\)
\(104\) −0.889014 + 6.18323i −0.0871750 + 0.606315i
\(105\) 1.55395 + 0.998662i 0.151650 + 0.0974595i
\(106\) −6.73599 7.77374i −0.654257 0.755052i
\(107\) −1.74238 3.81528i −0.168442 0.368837i 0.806520 0.591206i \(-0.201348\pi\)
−0.974962 + 0.222369i \(0.928621\pi\)
\(108\) 10.4273 6.70123i 1.00337 0.644826i
\(109\) −19.3101 5.66996i −1.84957 0.543084i −0.999875 0.0158169i \(-0.994965\pi\)
−0.849700 0.527267i \(-0.823217\pi\)
\(110\) 1.11463 1.28635i 0.106276 0.122649i
\(111\) 25.6003 7.51693i 2.42987 0.713475i
\(112\) −0.243475 + 0.533137i −0.0230063 + 0.0503767i
\(113\) 2.87342 + 19.9851i 0.270309 + 1.88004i 0.445170 + 0.895446i \(0.353143\pi\)
−0.174861 + 0.984593i \(0.555948\pi\)
\(114\) −4.83696 −0.453023
\(115\) 2.63748 + 4.00546i 0.245946 + 0.373511i
\(116\) −0.273904 −0.0254313
\(117\) −6.16341 42.8674i −0.569807 3.96310i
\(118\) −2.70416 + 5.92128i −0.248938 + 0.545098i
\(119\) 1.25599 0.368792i 0.115136 0.0338071i
\(120\) 2.06389 2.38185i 0.188406 0.217432i
\(121\) 7.77469 + 2.28285i 0.706790 + 0.207532i
\(122\) 9.85042 6.33048i 0.891815 0.573135i
\(123\) −4.04472 8.85671i −0.364700 0.798583i
\(124\) 5.82999 + 6.72817i 0.523549 + 0.604207i
\(125\) −0.841254 0.540641i −0.0752440 0.0483564i
\(126\) 0.578276 4.02200i 0.0515169 0.358308i
\(127\) −0.440666 + 3.06490i −0.0391028 + 0.271966i −0.999988 0.00498237i \(-0.998414\pi\)
0.960885 + 0.276949i \(0.0893231\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) −15.3235 17.6843i −1.34916 1.55702i
\(130\) −2.59502 5.68230i −0.227598 0.498371i
\(131\) −2.36509 + 1.51995i −0.206639 + 0.132799i −0.639867 0.768485i \(-0.721011\pi\)
0.433228 + 0.901284i \(0.357374\pi\)
\(132\) −5.14707 1.51132i −0.447995 0.131543i
\(133\) −0.589057 + 0.679808i −0.0510777 + 0.0589468i
\(134\) 12.6332 3.70943i 1.09134 0.320446i
\(135\) −5.14906 + 11.2749i −0.443160 + 0.970386i
\(136\) −0.317850 2.21069i −0.0272554 0.189565i
\(137\) −11.7641 −1.00508 −0.502539 0.864555i \(-0.667601\pi\)
−0.502539 + 0.864555i \(0.667601\pi\)
\(138\) 8.02990 12.8053i 0.683550 1.09006i
\(139\) −16.1372 −1.36874 −0.684368 0.729137i \(-0.739922\pi\)
−0.684368 + 0.729137i \(0.739922\pi\)
\(140\) −0.0834109 0.580136i −0.00704951 0.0490304i
\(141\) −7.49744 + 16.4171i −0.631398 + 1.38257i
\(142\) −7.62343 + 2.23844i −0.639744 + 0.187846i
\(143\) −6.96287 + 8.03558i −0.582264 + 0.671969i
\(144\) −6.65203 1.95321i −0.554336 0.162768i
\(145\) 0.230423 0.148084i 0.0191356 0.0122977i
\(146\) 0.596033 + 1.30513i 0.0493281 + 0.108013i
\(147\) 13.7382 + 15.8548i 1.13311 + 1.30768i
\(148\) −7.12185 4.57694i −0.585413 0.376222i
\(149\) 0.680101 4.73020i 0.0557160 0.387513i −0.942814 0.333318i \(-0.891832\pi\)
0.998530 0.0541951i \(-0.0172593\pi\)
\(150\) −0.448526 + 3.11956i −0.0366220 + 0.254711i
\(151\) 4.58931 + 2.94937i 0.373473 + 0.240016i 0.713890 0.700258i \(-0.246932\pi\)
−0.340417 + 0.940275i \(0.610568\pi\)
\(152\) 1.00504 + 1.15988i 0.0815198 + 0.0940788i
\(153\) 6.43230 + 14.0848i 0.520020 + 1.13869i
\(154\) −0.839229 + 0.539340i −0.0676270 + 0.0434612i
\(155\) −8.54202 2.50816i −0.686112 0.201461i
\(156\) −12.8927 + 14.8790i −1.03224 + 1.19127i
\(157\) 5.22176 1.53325i 0.416742 0.122367i −0.0666377 0.997777i \(-0.521227\pi\)
0.483380 + 0.875411i \(0.339409\pi\)
\(158\) 4.91529 10.7630i 0.391039 0.856257i
\(159\) −4.61360 32.0883i −0.365882 2.54476i
\(160\) −1.00000 −0.0790569
\(161\) −0.821817 2.68802i −0.0647683 0.211846i
\(162\) 18.2660 1.43511
\(163\) 0.456880 + 3.17767i 0.0357856 + 0.248895i 0.999860 0.0167383i \(-0.00532821\pi\)
−0.964074 + 0.265633i \(0.914419\pi\)
\(164\) −1.28337 + 2.81019i −0.100214 + 0.219439i
\(165\) 5.14707 1.51132i 0.400699 0.117656i
\(166\) −2.84544 + 3.28382i −0.220849 + 0.254874i
\(167\) 8.20807 + 2.41011i 0.635160 + 0.186500i 0.583433 0.812161i \(-0.301709\pi\)
0.0517272 + 0.998661i \(0.483527\pi\)
\(168\) −1.55395 + 0.998662i −0.119890 + 0.0770485i
\(169\) 10.8102 + 23.6710i 0.831554 + 1.82085i
\(170\) 1.46258 + 1.68791i 0.112175 + 0.129457i
\(171\) −8.95107 5.75250i −0.684505 0.439905i
\(172\) −1.05663 + 7.34902i −0.0805673 + 0.560358i
\(173\) −2.28391 + 15.8850i −0.173643 + 1.20771i 0.697465 + 0.716619i \(0.254311\pi\)
−0.871108 + 0.491092i \(0.836598\pi\)
\(174\) −0.726210 0.466707i −0.0550539 0.0353810i
\(175\) 0.383815 + 0.442946i 0.0290137 + 0.0334836i
\(176\) 0.707071 + 1.54827i 0.0532975 + 0.116705i
\(177\) −17.2589 + 11.0916i −1.29726 + 0.833698i
\(178\) 10.3117 + 3.02780i 0.772898 + 0.226943i
\(179\) 0.578725 0.667884i 0.0432559 0.0499200i −0.733709 0.679463i \(-0.762213\pi\)
0.776965 + 0.629543i \(0.216758\pi\)
\(180\) 6.65203 1.95321i 0.495813 0.145584i
\(181\) 2.42646 5.31321i 0.180358 0.394928i −0.797762 0.602973i \(-0.793983\pi\)
0.978119 + 0.208045i \(0.0667100\pi\)
\(182\) 0.521052 + 3.62400i 0.0386230 + 0.268629i
\(183\) 36.9033 2.72797
\(184\) −4.73914 + 0.735209i −0.349374 + 0.0542003i
\(185\) 8.46576 0.622415
\(186\) 3.99306 + 27.7724i 0.292786 + 2.03637i
\(187\) 1.57919 3.45795i 0.115482 0.252870i
\(188\) 5.49459 1.61336i 0.400734 0.117666i
\(189\) 4.75737 5.49030i 0.346048 0.399361i
\(190\) −1.47258 0.432387i −0.106832 0.0313687i
\(191\) −10.9385 + 7.02977i −0.791484 + 0.508656i −0.872827 0.488030i \(-0.837716\pi\)
0.0813425 + 0.996686i \(0.474079\pi\)
\(192\) 1.30924 + 2.86684i 0.0944863 + 0.206896i
\(193\) 1.47901 + 1.70687i 0.106461 + 0.122863i 0.806479 0.591262i \(-0.201370\pi\)
−0.700018 + 0.714125i \(0.746825\pi\)
\(194\) 3.26871 + 2.10067i 0.234680 + 0.150820i
\(195\) 2.80186 19.4873i 0.200645 1.39552i
\(196\) 0.947317 6.58873i 0.0676655 0.470624i
\(197\) 5.00593 + 3.21711i 0.356657 + 0.229210i 0.706683 0.707530i \(-0.250191\pi\)
−0.350026 + 0.936740i \(0.613827\pi\)
\(198\) −7.72756 8.91808i −0.549174 0.633780i
\(199\) −8.56360 18.7517i −0.607058 1.32927i −0.924568 0.381016i \(-0.875574\pi\)
0.317511 0.948255i \(-0.397153\pi\)
\(200\) 0.841254 0.540641i 0.0594856 0.0382291i
\(201\) 39.8152 + 11.6908i 2.80835 + 0.824605i
\(202\) −11.3182 + 13.0619i −0.796348 + 0.919034i
\(203\) −0.154033 + 0.0452281i −0.0108110 + 0.00317439i
\(204\) 2.92409 6.40287i 0.204727 0.448290i
\(205\) −0.439663 3.05792i −0.0307074 0.213575i
\(206\) −1.54651 −0.107750
\(207\) 30.0889 14.1472i 2.09132 0.983297i
\(208\) 6.24681 0.433138
\(209\) 0.371763 + 2.58567i 0.0257154 + 0.178855i
\(210\) 0.767348 1.68026i 0.0529520 0.115949i
\(211\) −0.291024 + 0.0854525i −0.0200349 + 0.00588279i −0.291735 0.956499i \(-0.594232\pi\)
0.271700 + 0.962382i \(0.412414\pi\)
\(212\) −6.73599 + 7.77374i −0.462629 + 0.533903i
\(213\) −24.0263 7.05477i −1.64626 0.483385i
\(214\) −3.52848 + 2.26762i −0.241202 + 0.155011i
\(215\) −3.08429 6.75365i −0.210347 0.460595i
\(216\) −8.11698 9.36749i −0.552291 0.637377i
\(217\) 4.38954 + 2.82098i 0.297981 + 0.191501i
\(218\) −2.86413 + 19.9205i −0.193984 + 1.34919i
\(219\) −0.643540 + 4.47592i −0.0434864 + 0.302455i
\(220\) −1.43188 0.920216i −0.0965376 0.0620409i
\(221\) −9.13648 10.5441i −0.614586 0.709270i
\(222\) −11.0837 24.2700i −0.743890 1.62889i
\(223\) −11.0096 + 7.07545i −0.737259 + 0.473807i −0.854602 0.519284i \(-0.826199\pi\)
0.117343 + 0.993091i \(0.462562\pi\)
\(224\) 0.562360 + 0.165124i 0.0375743 + 0.0110328i
\(225\) −4.54006 + 5.23951i −0.302670 + 0.349300i
\(226\) 19.3727 5.68835i 1.28866 0.378383i
\(227\) −8.94360 + 19.5838i −0.593608 + 1.29982i 0.339630 + 0.940559i \(0.389698\pi\)
−0.933237 + 0.359260i \(0.883029\pi\)
\(228\) 0.688372 + 4.78773i 0.0455885 + 0.317075i
\(229\) 11.6468 0.769640 0.384820 0.922992i \(-0.374263\pi\)
0.384820 + 0.922992i \(0.374263\pi\)
\(230\) 3.58934 3.18067i 0.236674 0.209727i
\(231\) −3.14406 −0.206864
\(232\) 0.0389806 + 0.271116i 0.00255920 + 0.0177996i
\(233\) 6.19002 13.5543i 0.405522 0.887969i −0.591159 0.806555i \(-0.701329\pi\)
0.996680 0.0814135i \(-0.0259434\pi\)
\(234\) −41.5540 + 12.2013i −2.71647 + 0.797627i
\(235\) −3.75010 + 4.32784i −0.244629 + 0.282317i
\(236\) 6.24585 + 1.83395i 0.406570 + 0.119380i
\(237\) 31.3712 20.1610i 2.03778 1.30960i
\(238\) −0.543784 1.19072i −0.0352483 0.0771830i
\(239\) −9.22524 10.6465i −0.596731 0.688665i 0.374384 0.927274i \(-0.377854\pi\)
−0.971116 + 0.238609i \(0.923309\pi\)
\(240\) −2.65133 1.70391i −0.171143 0.109987i
\(241\) −0.114663 + 0.797502i −0.00738612 + 0.0513716i −0.993181 0.116581i \(-0.962807\pi\)
0.985795 + 0.167953i \(0.0537156\pi\)
\(242\) 1.15316 8.02044i 0.0741282 0.515573i
\(243\) 17.1472 + 11.0198i 1.09999 + 0.706921i
\(244\) −7.66791 8.84924i −0.490887 0.566514i
\(245\) 2.76520 + 6.05495i 0.176662 + 0.386837i
\(246\) −8.19094 + 5.26399i −0.522235 + 0.335620i
\(247\) 9.19890 + 2.70104i 0.585312 + 0.171863i
\(248\) 5.82999 6.72817i 0.370205 0.427239i
\(249\) −13.1395 + 3.85811i −0.832684 + 0.244498i
\(250\) −0.415415 + 0.909632i −0.0262732 + 0.0575302i
\(251\) −2.58783 17.9987i −0.163342 1.13607i −0.892277 0.451488i \(-0.850894\pi\)
0.728935 0.684583i \(-0.240016\pi\)
\(252\) −4.06336 −0.255968
\(253\) −7.46245 3.30830i −0.469160 0.207991i
\(254\) 3.09642 0.194287
\(255\) 1.00175 + 6.96732i 0.0627320 + 0.436310i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 15.4095 4.52463i 0.961216 0.282239i 0.236767 0.971566i \(-0.423912\pi\)
0.724450 + 0.689328i \(0.242094\pi\)
\(258\) −15.3235 + 17.6843i −0.954002 + 1.10098i
\(259\) −4.76081 1.39790i −0.295822 0.0868612i
\(260\) −5.25515 + 3.37728i −0.325911 + 0.209450i
\(261\) −0.788847 1.72733i −0.0488284 0.106919i
\(262\) 1.84107 + 2.12471i 0.113742 + 0.131265i
\(263\) 6.70950 + 4.31194i 0.413726 + 0.265885i 0.730904 0.682481i \(-0.239099\pi\)
−0.317178 + 0.948366i \(0.602735\pi\)
\(264\) −0.763428 + 5.30976i −0.0469858 + 0.326793i
\(265\) 1.46387 10.1814i 0.0899248 0.625441i
\(266\) 0.756720 + 0.486315i 0.0463975 + 0.0298179i
\(267\) 22.1808 + 25.5980i 1.35744 + 1.56657i
\(268\) −5.46956 11.9767i −0.334106 0.731591i
\(269\) 15.1847 9.75864i 0.925829 0.594994i 0.0114860 0.999934i \(-0.496344\pi\)
0.914343 + 0.404940i \(0.132707\pi\)
\(270\) 11.8929 + 3.49207i 0.723778 + 0.212520i
\(271\) 14.9602 17.2649i 0.908765 1.04877i −0.0898392 0.995956i \(-0.528635\pi\)
0.998604 0.0528146i \(-0.0168192\pi\)
\(272\) −2.14296 + 0.629229i −0.129936 + 0.0381526i
\(273\) −4.79348 + 10.4962i −0.290114 + 0.635262i
\(274\) 1.67421 + 11.6444i 0.101143 + 0.703463i
\(275\) 1.70208 0.102640
\(276\) −13.8178 6.12578i −0.831732 0.368728i
\(277\) 20.9373 1.25800 0.629000 0.777405i \(-0.283465\pi\)
0.629000 + 0.777405i \(0.283465\pi\)
\(278\) 2.29656 + 15.9729i 0.137738 + 0.957991i
\(279\) −25.6397 + 56.1432i −1.53501 + 3.36120i
\(280\) −0.562360 + 0.165124i −0.0336074 + 0.00986804i
\(281\) −1.89023 + 2.18144i −0.112762 + 0.130134i −0.809324 0.587362i \(-0.800166\pi\)
0.696562 + 0.717496i \(0.254712\pi\)
\(282\) 17.3170 + 5.08473i 1.03121 + 0.302791i
\(283\) −2.40666 + 1.54667i −0.143061 + 0.0919398i −0.610213 0.792237i \(-0.708916\pi\)
0.467152 + 0.884177i \(0.345280\pi\)
\(284\) 3.30058 + 7.22727i 0.195854 + 0.428860i
\(285\) −3.16754 3.65553i −0.187629 0.216535i
\(286\) 8.94471 + 5.74841i 0.528912 + 0.339911i
\(287\) −0.257687 + 1.79225i −0.0152108 + 0.105793i
\(288\) −0.986649 + 6.86229i −0.0581388 + 0.404364i
\(289\) −10.1050 6.49407i −0.594410 0.382004i
\(290\) −0.179369 0.207003i −0.0105329 0.0121556i
\(291\) 5.08708 + 11.1392i 0.298210 + 0.652989i
\(292\) 1.20702 0.775706i 0.0706356 0.0453948i
\(293\) −2.68442 0.788217i −0.156826 0.0460482i 0.202377 0.979308i \(-0.435133\pi\)
−0.359203 + 0.933259i \(0.616951\pi\)
\(294\) 13.7382 15.8548i 0.801230 0.924669i
\(295\) −6.24585 + 1.83395i −0.363647 + 0.106776i
\(296\) −3.51680 + 7.70073i −0.204410 + 0.447596i
\(297\) −3.00246 20.8825i −0.174220 1.21173i
\(298\) −4.77884 −0.276831
\(299\) −22.4219 + 19.8691i −1.29669 + 1.14906i
\(300\) 3.15164 0.181960
\(301\) 0.619292 + 4.30727i 0.0356954 + 0.248267i
\(302\) 2.26622 4.96234i 0.130406 0.285550i
\(303\) −52.2647 + 15.3463i −3.00253 + 0.881622i
\(304\) 1.00504 1.15988i 0.0576432 0.0665238i
\(305\) 11.2349 + 3.29887i 0.643309 + 0.188893i
\(306\) 13.0260 8.37130i 0.744646 0.478555i
\(307\) −11.8778 26.0087i −0.677902 1.48440i −0.864851 0.502028i \(-0.832587\pi\)
0.186950 0.982369i \(-0.440140\pi\)
\(308\) 0.653285 + 0.753931i 0.0372244 + 0.0429592i
\(309\) −4.10031 2.63511i −0.233258 0.149906i
\(310\) −1.26698 + 8.81203i −0.0719595 + 0.500490i
\(311\) 2.45615 17.0829i 0.139276 0.968684i −0.793588 0.608455i \(-0.791790\pi\)
0.932864 0.360229i \(-0.117301\pi\)
\(312\) 16.5624 + 10.6440i 0.937659 + 0.602597i
\(313\) −19.9457 23.0185i −1.12740 1.30108i −0.948344 0.317245i \(-0.897242\pi\)
−0.179052 0.983840i \(-0.557303\pi\)
\(314\) −2.26078 4.95041i −0.127583 0.279368i
\(315\) 3.41831 2.19682i 0.192600 0.123777i
\(316\) −11.3530 3.33353i −0.638653 0.187526i
\(317\) −5.77890 + 6.66921i −0.324576 + 0.374580i −0.894463 0.447143i \(-0.852442\pi\)
0.569887 + 0.821723i \(0.306987\pi\)
\(318\) −31.1051 + 9.13327i −1.74429 + 0.512168i
\(319\) −0.193670 + 0.424077i −0.0108434 + 0.0237438i
\(320\) 0.142315 + 0.989821i 0.00795564 + 0.0553327i
\(321\) −13.2190 −0.737811
\(322\) −2.54370 + 1.19600i −0.141755 + 0.0666503i
\(323\) −3.42774 −0.190724
\(324\) −2.59952 18.0800i −0.144418 1.00445i
\(325\) 2.59502 5.68230i 0.143946 0.315197i
\(326\) 3.08031 0.904460i 0.170602 0.0500934i
\(327\) −41.5364 + 47.9356i −2.29697 + 2.65085i
\(328\) 2.96423 + 0.870375i 0.163672 + 0.0480584i
\(329\) 2.82354 1.81458i 0.155667 0.100041i
\(330\) −2.22844 4.87959i −0.122671 0.268613i
\(331\) −3.88592 4.48459i −0.213590 0.246496i 0.638837 0.769342i \(-0.279416\pi\)
−0.852427 + 0.522846i \(0.824870\pi\)
\(332\) 3.65534 + 2.34914i 0.200613 + 0.128926i
\(333\) 8.35273 58.0945i 0.457727 3.18356i
\(334\) 1.21745 8.46752i 0.0666157 0.463322i
\(335\) 11.0764 + 7.11834i 0.605166 + 0.388917i
\(336\) 1.20965 + 1.39601i 0.0659917 + 0.0761585i
\(337\) −10.7220 23.4779i −0.584064 1.27892i −0.938963 0.344017i \(-0.888212\pi\)
0.354899 0.934905i \(-0.384515\pi\)
\(338\) 21.8916 14.0689i 1.19075 0.765248i
\(339\) 61.0560 + 17.9277i 3.31611 + 0.973697i
\(340\) 1.46258 1.68791i 0.0793197 0.0915398i
\(341\) 14.5392 4.26911i 0.787344 0.231185i
\(342\) −4.42008 + 9.67863i −0.239011 + 0.523360i
\(343\) −1.13910 7.92262i −0.0615056 0.427781i
\(344\) 7.42460 0.400307
\(345\) 14.9361 2.31712i 0.804132 0.124749i
\(346\) 16.0483 0.862762
\(347\) −3.90388 27.1521i −0.209572 1.45760i −0.774559 0.632502i \(-0.782028\pi\)
0.564987 0.825100i \(-0.308881\pi\)
\(348\) −0.358606 + 0.785238i −0.0192233 + 0.0420932i
\(349\) −3.41364 + 1.00234i −0.182728 + 0.0536538i −0.371816 0.928306i \(-0.621265\pi\)
0.189088 + 0.981960i \(0.439447\pi\)
\(350\) 0.383815 0.442946i 0.0205158 0.0236765i
\(351\) −74.2926 21.8143i −3.96545 1.16436i
\(352\) 1.43188 0.920216i 0.0763197 0.0490477i
\(353\) 5.57039 + 12.1974i 0.296482 + 0.649205i 0.997984 0.0634625i \(-0.0202143\pi\)
−0.701502 + 0.712667i \(0.747487\pi\)
\(354\) 13.4349 + 15.5047i 0.714059 + 0.824068i
\(355\) −6.68399 4.29554i −0.354749 0.227983i
\(356\) 1.52947 10.6377i 0.0810617 0.563796i
\(357\) 0.587126 4.08355i 0.0310740 0.216125i
\(358\) −0.743447 0.477784i −0.0392924 0.0252517i
\(359\) −1.64868 1.90267i −0.0870138 0.100419i 0.710573 0.703624i \(-0.248436\pi\)
−0.797587 + 0.603204i \(0.793890\pi\)
\(360\) −2.88001 6.30635i −0.151790 0.332374i
\(361\) −14.0023 + 8.99873i −0.736963 + 0.473617i
\(362\) −5.60445 1.64562i −0.294564 0.0864917i
\(363\) 16.7235 19.2999i 0.877756 1.01298i
\(364\) 3.51296 1.03150i 0.184129 0.0540652i
\(365\) −0.596033 + 1.30513i −0.0311978 + 0.0683137i
\(366\) −5.25189 36.5277i −0.274520 1.90933i
\(367\) 30.4898 1.59155 0.795777 0.605590i \(-0.207063\pi\)
0.795777 + 0.605590i \(0.207063\pi\)
\(368\) 1.40218 + 4.58627i 0.0730935 + 0.239076i
\(369\) −21.4181 −1.11498
\(370\) −1.20480 8.37959i −0.0626348 0.435634i
\(371\) −2.50442 + 5.48391i −0.130023 + 0.284711i
\(372\) 26.9214 7.90484i 1.39581 0.409847i
\(373\) 18.5936 21.4582i 0.962742 1.11106i −0.0310178 0.999519i \(-0.509875\pi\)
0.993759 0.111544i \(-0.0355797\pi\)
\(374\) −3.64749 1.07100i −0.188607 0.0553801i
\(375\) −2.65133 + 1.70391i −0.136914 + 0.0879894i
\(376\) −2.37890 5.20906i −0.122682 0.268637i
\(377\) 1.12048 + 1.29311i 0.0577079 + 0.0665984i
\(378\) −6.11146 3.92760i −0.314340 0.202014i
\(379\) −2.64486 + 18.3954i −0.135857 + 0.944907i 0.801861 + 0.597510i \(0.203843\pi\)
−0.937718 + 0.347396i \(0.887066\pi\)
\(380\) −0.218417 + 1.51912i −0.0112045 + 0.0779293i
\(381\) 8.20964 + 5.27601i 0.420592 + 0.270298i
\(382\) 8.51493 + 9.82675i 0.435662 + 0.502780i
\(383\) −3.52909 7.72764i −0.180328 0.394864i 0.797784 0.602944i \(-0.206006\pi\)
−0.978112 + 0.208080i \(0.933278\pi\)
\(384\) 2.65133 1.70391i 0.135300 0.0869522i
\(385\) −0.957184 0.281055i −0.0487826 0.0143239i
\(386\) 1.47901 1.70687i 0.0752795 0.0868772i
\(387\) −49.3886 + 14.5018i −2.51057 + 0.737169i
\(388\) 1.61411 3.53440i 0.0819438 0.179432i
\(389\) 0.843026 + 5.86337i 0.0427431 + 0.297285i 0.999968 + 0.00794138i \(0.00252785\pi\)
−0.957225 + 0.289343i \(0.906563\pi\)
\(390\) −19.6877 −0.996927
\(391\) 5.69042 9.07455i 0.287777 0.458920i
\(392\) −6.65649 −0.336203
\(393\) 1.26098 + 8.77031i 0.0636080 + 0.442404i
\(394\) 2.47195 5.41282i 0.124535 0.272694i
\(395\) 11.3530 3.33353i 0.571229 0.167728i
\(396\) −7.72756 + 8.91808i −0.388324 + 0.448150i
\(397\) 10.8547 + 3.18723i 0.544782 + 0.159962i 0.542532 0.840035i \(-0.317466\pi\)
0.00224971 + 0.999997i \(0.499284\pi\)
\(398\) −17.3421 + 11.1451i −0.869280 + 0.558652i
\(399\) 1.17768 + 2.57876i 0.0589578 + 0.129100i
\(400\) −0.654861 0.755750i −0.0327430 0.0377875i
\(401\) 1.87055 + 1.20213i 0.0934106 + 0.0600313i 0.586512 0.809940i \(-0.300501\pi\)
−0.493102 + 0.869972i \(0.664137\pi\)
\(402\) 5.90551 41.0737i 0.294540 2.04857i
\(403\) 7.91457 55.0471i 0.394253 2.74209i
\(404\) 14.5397 + 9.34412i 0.723379 + 0.464887i
\(405\) 11.9617 + 13.8045i 0.594380 + 0.685951i
\(406\) 0.0666889 + 0.146028i 0.00330971 + 0.00724726i
\(407\) −12.1220 + 7.79033i −0.600865 + 0.386152i
\(408\) −6.75384 1.98311i −0.334365 0.0981783i
\(409\) 11.5538 13.3338i 0.571299 0.659315i −0.394412 0.918934i \(-0.629052\pi\)
0.965711 + 0.259619i \(0.0835970\pi\)
\(410\) −2.96423 + 0.870375i −0.146393 + 0.0429848i
\(411\) −15.4021 + 33.7258i −0.759728 + 1.66357i
\(412\) 0.220091 + 1.53077i 0.0108431 + 0.0754155i
\(413\) 3.81524 0.187736
\(414\) −18.2853 27.7693i −0.898672 1.36479i
\(415\) −4.34511 −0.213293
\(416\) −0.889014 6.18323i −0.0435875 0.303158i
\(417\) −21.1274 + 46.2626i −1.03461 + 2.26549i
\(418\) 2.50645 0.735959i 0.122594 0.0359969i
\(419\) −0.540649 + 0.623942i −0.0264124 + 0.0304816i −0.768802 0.639487i \(-0.779147\pi\)
0.742390 + 0.669968i \(0.233692\pi\)
\(420\) −1.77236 0.520412i −0.0864823 0.0253935i
\(421\) −15.1693 + 9.74872i −0.739307 + 0.475124i −0.855304 0.518126i \(-0.826630\pi\)
0.115998 + 0.993249i \(0.462994\pi\)
\(422\) 0.126000 + 0.275901i 0.00613357 + 0.0134307i
\(423\) 25.9989 + 30.0043i 1.26411 + 1.45886i
\(424\) 8.65325 + 5.56110i 0.420239 + 0.270071i
\(425\) −0.317850 + 2.21069i −0.0154180 + 0.107234i
\(426\) −3.56366 + 24.7858i −0.172660 + 1.20088i
\(427\) −5.77335 3.71030i −0.279392 0.179554i
\(428\) 2.74669 + 3.16985i 0.132766 + 0.153220i
\(429\) 13.9206 + 30.4819i 0.672094 + 1.47168i
\(430\) −6.24597 + 4.01404i −0.301207 + 0.193574i
\(431\) 6.14302 + 1.80375i 0.295899 + 0.0868838i 0.426313 0.904576i \(-0.359812\pi\)
−0.130414 + 0.991460i \(0.541631\pi\)
\(432\) −8.11698 + 9.36749i −0.390528 + 0.450694i
\(433\) 19.0903 5.60543i 0.917423 0.269380i 0.211261 0.977430i \(-0.432243\pi\)
0.706162 + 0.708050i \(0.250425\pi\)
\(434\) 2.16757 4.74633i 0.104047 0.227831i
\(435\) −0.122853 0.854461i −0.00589035 0.0409683i
\(436\) 20.1253 0.963829
\(437\) 0.0817639 + 7.35992i 0.00391130 + 0.352072i
\(438\) 4.52195 0.216067
\(439\) 3.10998 + 21.6304i 0.148431 + 1.03236i 0.918789 + 0.394750i \(0.129169\pi\)
−0.770357 + 0.637612i \(0.779922\pi\)
\(440\) −0.707071 + 1.54827i −0.0337083 + 0.0738109i
\(441\) 44.2791 13.0015i 2.10853 0.619120i
\(442\) −9.13648 + 10.5441i −0.434578 + 0.501530i
\(443\) −8.50110 2.49615i −0.403899 0.118596i 0.0734719 0.997297i \(-0.476592\pi\)
−0.477371 + 0.878702i \(0.658410\pi\)
\(444\) −22.4455 + 14.4249i −1.06522 + 0.684574i
\(445\) 4.46450 + 9.77589i 0.211638 + 0.463421i
\(446\) 8.57027 + 9.89061i 0.405814 + 0.468334i
\(447\) −12.6703 8.14271i −0.599285 0.385137i
\(448\) 0.0834109 0.580136i 0.00394080 0.0274088i
\(449\) 1.26035 8.76591i 0.0594795 0.413689i −0.938228 0.346017i \(-0.887534\pi\)
0.997708 0.0676717i \(-0.0215571\pi\)
\(450\) 5.83229 + 3.74819i 0.274937 + 0.176691i
\(451\) 3.44349 + 3.97400i 0.162148 + 0.187129i
\(452\) −8.38748 18.3660i −0.394514 0.863865i
\(453\) 14.4639 9.29536i 0.679572 0.436734i
\(454\) 20.6572 + 6.06551i 0.969492 + 0.284668i
\(455\) −2.39762 + 2.76700i −0.112402 + 0.129719i
\(456\) 4.64103 1.36273i 0.217336 0.0638157i
\(457\) 3.72783 8.16282i 0.174381 0.381840i −0.802180 0.597082i \(-0.796327\pi\)
0.976561 + 0.215242i \(0.0690539\pi\)
\(458\) −1.65751 11.5282i −0.0774503 0.538679i
\(459\) 27.6832 1.29214
\(460\) −3.65911 3.10015i −0.170607 0.144545i
\(461\) −17.5927 −0.819374 −0.409687 0.912226i \(-0.634362\pi\)
−0.409687 + 0.912226i \(0.634362\pi\)
\(462\) 0.447446 + 3.11206i 0.0208171 + 0.144786i
\(463\) −13.9596 + 30.5672i −0.648757 + 1.42058i 0.243881 + 0.969805i \(0.421579\pi\)
−0.892638 + 0.450774i \(0.851148\pi\)
\(464\) 0.262809 0.0771677i 0.0122006 0.00358242i
\(465\) −18.3741 + 21.2048i −0.852076 + 0.983349i
\(466\) −14.2972 4.19804i −0.662306 0.194471i
\(467\) −3.41192 + 2.19271i −0.157885 + 0.101466i −0.617198 0.786808i \(-0.711732\pi\)
0.459313 + 0.888275i \(0.348096\pi\)
\(468\) 17.9909 + 39.3946i 0.831630 + 1.82102i
\(469\) −5.05349 5.83204i −0.233349 0.269299i
\(470\) 4.81749 + 3.09601i 0.222214 + 0.142808i
\(471\) 2.44097 16.9773i 0.112474 0.782274i
\(472\) 0.926403 6.44327i 0.0426411 0.296576i
\(473\) 10.6312 + 6.83223i 0.488821 + 0.314146i
\(474\) −24.4204 28.1827i −1.12167 1.29447i
\(475\) −0.637555 1.39605i −0.0292530 0.0640552i
\(476\) −1.10121 + 0.707706i −0.0504740 + 0.0324377i
\(477\) −68.4237 20.0910i −3.13290 0.919904i
\(478\) −9.22524 + 10.6465i −0.421953 + 0.486959i
\(479\) −0.0905902 + 0.0265997i −0.00413917 + 0.00121537i −0.283801 0.958883i \(-0.591596\pi\)
0.279662 + 0.960098i \(0.409777\pi\)
\(480\) −1.30924 + 2.86684i −0.0597584 + 0.130853i
\(481\) 7.52618 + 52.3457i 0.343164 + 2.38676i
\(482\) 0.805703 0.0366988
\(483\) −8.78207 1.16325i −0.399598 0.0529297i
\(484\) −8.10291 −0.368314
\(485\) 0.552968 + 3.84598i 0.0251090 + 0.174637i
\(486\) 8.46735 18.5409i 0.384087 0.841033i
\(487\) 15.5293 4.55982i 0.703701 0.206625i 0.0897443 0.995965i \(-0.471395\pi\)
0.613957 + 0.789340i \(0.289577\pi\)
\(488\) −7.66791 + 8.84924i −0.347110 + 0.400586i
\(489\) 9.70803 + 2.85054i 0.439012 + 0.128906i
\(490\) 5.59979 3.59877i 0.252973 0.162576i
\(491\) 3.62841 + 7.94511i 0.163748 + 0.358558i 0.973664 0.227988i \(-0.0732147\pi\)
−0.809916 + 0.586546i \(0.800487\pi\)
\(492\) 6.37611 + 7.35842i 0.287457 + 0.331743i
\(493\) −0.514632 0.330734i −0.0231779 0.0148955i
\(494\) 1.36441 9.48967i 0.0613876 0.426960i
\(495\) 1.67936 11.6802i 0.0754816 0.524986i
\(496\) −7.48938 4.81313i −0.336283 0.216116i
\(497\) 3.04951 + 3.51932i 0.136789 + 0.157863i
\(498\) 5.68879 + 12.4567i 0.254921 + 0.558199i
\(499\) −9.27457 + 5.96041i −0.415187 + 0.266824i −0.731515 0.681825i \(-0.761186\pi\)
0.316328 + 0.948650i \(0.397550\pi\)
\(500\) 0.959493 + 0.281733i 0.0429098 + 0.0125995i
\(501\) 17.6557 20.3758i 0.788800 0.910323i
\(502\) −17.4473 + 5.12298i −0.778709 + 0.228650i
\(503\) −10.8246 + 23.7026i −0.482646 + 1.05685i 0.499081 + 0.866555i \(0.333671\pi\)
−0.981727 + 0.190292i \(0.939056\pi\)
\(504\) 0.578276 + 4.02200i 0.0257585 + 0.179154i
\(505\) −17.2834 −0.769102
\(506\) −2.21261 + 7.85731i −0.0983625 + 0.349300i
\(507\) 82.0141 3.64238
\(508\) −0.440666 3.06490i −0.0195514 0.135983i
\(509\) −5.49248 + 12.0269i −0.243450 + 0.533081i −0.991430 0.130640i \(-0.958297\pi\)
0.747980 + 0.663721i \(0.231024\pi\)
\(510\) 6.75384 1.98311i 0.299065 0.0878134i
\(511\) 0.550694 0.635534i 0.0243613 0.0281144i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −16.0032 + 10.2847i −0.706561 + 0.454079i
\(514\) −6.67157 14.6087i −0.294270 0.644362i
\(515\) −1.01275 1.16877i −0.0446270 0.0515023i
\(516\) 19.6851 + 12.6508i 0.866587 + 0.556921i
\(517\) 1.38715 9.64787i 0.0610070 0.424313i
\(518\) −0.706137 + 4.91129i −0.0310259 + 0.215790i
\(519\) 42.5494 + 27.3448i 1.86771 + 1.20030i
\(520\) 4.09079 + 4.72103i 0.179393 + 0.207031i
\(521\) −6.07332 13.2987i −0.266077 0.582628i 0.728684 0.684850i \(-0.240132\pi\)
−0.994762 + 0.102222i \(0.967405\pi\)
\(522\) −1.59749 + 1.02664i −0.0699201 + 0.0449349i
\(523\) −2.22535 0.653421i −0.0973077 0.0285721i 0.232716 0.972545i \(-0.425239\pi\)
−0.330024 + 0.943973i \(0.607057\pi\)
\(524\) 1.84107 2.12471i 0.0804274 0.0928182i
\(525\) 1.77236 0.520412i 0.0773521 0.0227126i
\(526\) 3.31318 7.25486i 0.144462 0.316327i
\(527\) 2.82970 + 19.6810i 0.123264 + 0.857318i
\(528\) 5.36436 0.233454
\(529\) −19.6203 12.0018i −0.853057 0.521818i
\(530\) −10.2861 −0.446801
\(531\) 6.42262 + 44.6703i 0.278718 + 1.93853i
\(532\) 0.373672 0.818228i 0.0162007 0.0354747i
\(533\) 18.5170 5.43707i 0.802059 0.235506i
\(534\) 22.1808 25.5980i 0.959856 1.10773i
\(535\) −4.02441 1.18167i −0.173991 0.0510882i
\(536\) −11.0764 + 7.11834i −0.478426 + 0.307466i
\(537\) −1.15702 2.53353i −0.0499293 0.109330i
\(538\) −11.8203 13.6414i −0.509610 0.588121i
\(539\) −9.53131 6.12540i −0.410543 0.263840i
\(540\) 1.76399 12.2688i 0.0759100 0.527965i
\(541\) −1.55679 + 10.8277i −0.0669318 + 0.465521i 0.928599 + 0.371084i \(0.121014\pi\)
−0.995531 + 0.0944363i \(0.969895\pi\)
\(542\) −19.2183 12.3508i −0.825495 0.530514i
\(543\) −12.0553 13.9125i −0.517342 0.597045i
\(544\) 0.927799 + 2.03160i 0.0397790 + 0.0871039i
\(545\) −16.9305 + 10.8806i −0.725224 + 0.466073i
\(546\) 11.0716 + 3.25091i 0.473820 + 0.139126i
\(547\) 18.8252 21.7254i 0.804908 0.928913i −0.193732 0.981054i \(-0.562059\pi\)
0.998640 + 0.0521415i \(0.0166047\pi\)
\(548\) 11.2876 3.31434i 0.482182 0.141582i
\(549\) 33.7227 73.8424i 1.43925 3.15152i
\(550\) −0.242232 1.68476i −0.0103288 0.0718384i
\(551\) 0.420372 0.0179085
\(552\) −4.09695 + 14.5489i −0.174378 + 0.619243i
\(553\) −6.93489 −0.294902
\(554\) −2.97969 20.7242i −0.126595 0.880486i
\(555\) 11.0837 24.2700i 0.470478 1.03020i
\(556\) 15.4835 4.54636i 0.656646 0.192809i
\(557\) 4.44923 5.13469i 0.188520 0.217564i −0.653620 0.756823i \(-0.726750\pi\)
0.842140 + 0.539259i \(0.181296\pi\)
\(558\) 59.2206 + 17.3888i 2.50701 + 0.736125i
\(559\) 39.0174 25.0750i 1.65026 1.06056i
\(560\) 0.243475 + 0.533137i 0.0102887 + 0.0225291i
\(561\) −7.84582 9.05456i −0.331251 0.382284i
\(562\) 2.42825 + 1.56054i 0.102429 + 0.0658274i
\(563\) −5.55049 + 38.6045i −0.233925 + 1.62698i 0.446932 + 0.894568i \(0.352517\pi\)
−0.680857 + 0.732417i \(0.738392\pi\)
\(564\) 2.56851 17.8644i 0.108154 0.752226i
\(565\) 16.9854 + 10.9159i 0.714582 + 0.459234i
\(566\) 1.87343 + 2.16205i 0.0787460 + 0.0908777i
\(567\) −4.44731 9.73825i −0.186769 0.408968i
\(568\) 6.68399 4.29554i 0.280454 0.180237i
\(569\) −42.6683 12.5285i −1.78875 0.525223i −0.792352 0.610065i \(-0.791144\pi\)
−0.996394 + 0.0848412i \(0.972962\pi\)
\(570\) −3.16754 + 3.65553i −0.132674 + 0.153113i
\(571\) −0.231157 + 0.0678737i −0.00967361 + 0.00284043i −0.286566 0.958061i \(-0.592514\pi\)
0.276892 + 0.960901i \(0.410696\pi\)
\(572\) 4.41694 9.67175i 0.184682 0.404396i
\(573\) 5.83202 + 40.5626i 0.243636 + 1.69453i
\(574\) 1.81068 0.0755764
\(575\) 4.75431 + 0.629743i 0.198268 + 0.0262621i
\(576\) 6.93286 0.288869
\(577\) 1.00718 + 7.00512i 0.0419296 + 0.291627i 0.999987 + 0.00505123i \(0.00160786\pi\)
−0.958058 + 0.286576i \(0.907483\pi\)
\(578\) −4.98989 + 10.9263i −0.207552 + 0.454475i
\(579\) 6.82968 2.00538i 0.283832 0.0833406i
\(580\) −0.179369 + 0.207003i −0.00744789 + 0.00859532i
\(581\) 2.44352 + 0.717482i 0.101374 + 0.0297662i
\(582\) 10.3018 6.62057i 0.427024 0.274432i
\(583\) 7.27303 + 15.9257i 0.301218 + 0.659575i
\(584\) −0.939588 1.08434i −0.0388804 0.0448704i
\(585\) −36.4332 23.4142i −1.50633 0.968059i
\(586\) −0.398161 + 2.76927i −0.0164479 + 0.114398i
\(587\) −3.78442 + 26.3212i −0.156200 + 1.08639i 0.749357 + 0.662166i \(0.230363\pi\)
−0.905556 + 0.424226i \(0.860546\pi\)
\(588\) −17.6485 11.3420i −0.727814 0.467738i
\(589\) −8.94754 10.3260i −0.368677 0.425476i
\(590\) 2.70416 + 5.92128i 0.111328 + 0.243775i
\(591\) 15.7769 10.1392i 0.648975 0.417071i
\(592\) 8.12284 + 2.38508i 0.333847 + 0.0980262i
\(593\) 23.9141 27.5983i 0.982034 1.13333i −0.00903271 0.999959i \(-0.502875\pi\)
0.991067 0.133368i \(-0.0425793\pi\)
\(594\) −20.2427 + 5.94379i −0.830568 + 0.243877i
\(595\) 0.543784 1.19072i 0.0222930 0.0488148i
\(596\) 0.680101 + 4.73020i 0.0278580 + 0.193757i
\(597\) −64.9698 −2.65904
\(598\) 22.8578 + 19.3660i 0.934724 + 0.791936i
\(599\) −21.6301 −0.883783 −0.441892 0.897068i \(-0.645692\pi\)
−0.441892 + 0.897068i \(0.645692\pi\)
\(600\) −0.448526 3.11956i −0.0183110 0.127356i
\(601\) −6.37117 + 13.9509i −0.259885 + 0.569070i −0.993928 0.110034i \(-0.964904\pi\)
0.734042 + 0.679104i \(0.237631\pi\)
\(602\) 4.17530 1.22598i 0.170172 0.0499671i
\(603\) 59.7766 68.9859i 2.43429 2.80932i
\(604\) −5.23434 1.53694i −0.212982 0.0625373i
\(605\) 6.81660 4.38076i 0.277134 0.178103i
\(606\) 22.6281 + 49.5487i 0.919205 + 2.01278i
\(607\) −15.9126 18.3641i −0.645871 0.745375i 0.334530 0.942385i \(-0.391422\pi\)
−0.980402 + 0.197010i \(0.936877\pi\)
\(608\) −1.29111 0.829745i −0.0523613 0.0336506i
\(609\) −0.0720043 + 0.500801i −0.00291776 + 0.0202935i
\(610\) 1.66640 11.5900i 0.0674704 0.469267i
\(611\) −30.0939 19.3402i −1.21747 0.782421i
\(612\) −10.1399 11.7020i −0.409880 0.473027i
\(613\) −13.9221 30.4852i −0.562309 1.23128i −0.950792 0.309829i \(-0.899728\pi\)
0.388483 0.921456i \(-0.372999\pi\)
\(614\) −24.0536 + 15.4583i −0.970725 + 0.623847i
\(615\) −9.34218 2.74311i −0.376713 0.110613i
\(616\) 0.653285 0.753931i 0.0263216 0.0303767i
\(617\) 25.8505 7.59040i 1.04070 0.305578i 0.283647 0.958929i \(-0.408456\pi\)
0.757055 + 0.653351i \(0.226637\pi\)
\(618\) −2.02475 + 4.43359i −0.0814475 + 0.178345i
\(619\) 1.09859 + 7.64085i 0.0441560 + 0.307112i 0.999916 + 0.0129639i \(0.00412667\pi\)
−0.955760 + 0.294148i \(0.904964\pi\)
\(620\) 8.90264 0.357539
\(621\) −0.660345 59.4405i −0.0264987 2.38527i
\(622\) −17.2586 −0.692007
\(623\) −0.896424 6.23476i −0.0359145 0.249791i
\(624\) 8.17858 17.9086i 0.327405 0.716917i
\(625\) −0.959493 + 0.281733i −0.0383797 + 0.0112693i
\(626\) −19.9457 + 23.0185i −0.797189 + 0.920005i
\(627\) 7.89943 + 2.31948i 0.315473 + 0.0926311i
\(628\) −4.57828 + 2.94228i −0.182693 + 0.117410i
\(629\) −7.85452 17.1990i −0.313180 0.685769i
\(630\) −2.66093 3.07088i −0.106014 0.122347i
\(631\) 3.18392 + 2.04618i 0.126750 + 0.0814571i 0.602479 0.798134i \(-0.294180\pi\)
−0.475730 + 0.879592i \(0.657816\pi\)
\(632\) −1.68390 + 11.7118i −0.0669821 + 0.465871i
\(633\) −0.136043 + 0.946197i −0.00540721 + 0.0376080i
\(634\) 7.42375 + 4.77096i 0.294835 + 0.189479i
\(635\) 2.02772 + 2.34012i 0.0804678 + 0.0928647i
\(636\) 13.4670 + 29.4887i 0.534002 + 1.16930i
\(637\) −34.9808 + 22.4808i −1.38599 + 0.890723i
\(638\) 0.447323 + 0.131346i 0.0177097 + 0.00520003i
\(639\) −36.0720 + 41.6293i −1.42699 + 1.64683i
\(640\) 0.959493 0.281733i 0.0379273 0.0111365i
\(641\) −2.97557 + 6.51560i −0.117528 + 0.257351i −0.959249 0.282562i \(-0.908816\pi\)
0.841721 + 0.539913i \(0.181543\pi\)
\(642\) 1.88126 + 13.0844i 0.0742473 + 0.516401i
\(643\) −42.6671 −1.68263 −0.841313 0.540548i \(-0.818217\pi\)
−0.841313 + 0.540548i \(0.818217\pi\)
\(644\) 1.54583 + 2.34760i 0.0609143 + 0.0925086i
\(645\) −23.3997 −0.921362
\(646\) 0.487818 + 3.39285i 0.0191929 + 0.133490i
\(647\) 8.96510 19.6308i 0.352455 0.771768i −0.647498 0.762067i \(-0.724185\pi\)
0.999953 0.00970096i \(-0.00308796\pi\)
\(648\) −17.5261 + 5.14611i −0.688489 + 0.202158i
\(649\) 7.25570 8.37353i 0.284811 0.328690i
\(650\) −5.99377 1.75993i −0.235095 0.0690301i
\(651\) 13.8343 8.89074i 0.542207 0.348455i
\(652\) −1.33363 2.92024i −0.0522289 0.114365i
\(653\) 11.8584 + 13.6854i 0.464056 + 0.535550i 0.938749 0.344602i \(-0.111986\pi\)
−0.474692 + 0.880152i \(0.657441\pi\)
\(654\) 53.3590 + 34.2917i 2.08650 + 1.34091i
\(655\) −0.400102 + 2.78277i −0.0156333 + 0.108732i
\(656\) 0.439663 3.05792i 0.0171659 0.119392i
\(657\) 8.36811 + 5.37786i 0.326471 + 0.209810i
\(658\) −2.19794 2.53656i −0.0856845 0.0988852i
\(659\) 3.38546 + 7.41312i 0.131879 + 0.288774i 0.964039 0.265761i \(-0.0856233\pi\)
−0.832160 + 0.554535i \(0.812896\pi\)
\(660\) −4.51279 + 2.90019i −0.175660 + 0.112890i
\(661\) −17.1226 5.02766i −0.665993 0.195553i −0.0687752 0.997632i \(-0.521909\pi\)
−0.597218 + 0.802079i \(0.703727\pi\)
\(662\) −3.88592 + 4.48459i −0.151031 + 0.174299i
\(663\) −42.1899 + 12.3881i −1.63852 + 0.481113i
\(664\) 1.80502 3.95245i 0.0700485 0.153385i
\(665\) 0.128014 + 0.890359i 0.00496418 + 0.0345267i
\(666\) −58.6919 −2.27427
\(667\) −0.697865 + 1.11289i −0.0270214 + 0.0430912i
\(668\) −8.55460 −0.330987
\(669\) 5.86993 + 40.8262i 0.226944 + 1.57843i
\(670\) 5.46956 11.9767i 0.211307 0.462699i
\(671\) −19.1228 + 5.61495i −0.738226 + 0.216763i
\(672\) 1.20965 1.39601i 0.0466632 0.0538522i
\(673\) −9.19327 2.69939i −0.354375 0.104054i 0.0996998 0.995018i \(-0.468212\pi\)
−0.454074 + 0.890964i \(0.650030\pi\)
\(674\) −21.7130 + 13.9541i −0.836354 + 0.537492i
\(675\) 5.14906 + 11.2749i 0.198187 + 0.433970i
\(676\) −17.0412 19.6666i −0.655431 0.756408i
\(677\) −21.3256 13.7051i −0.819610 0.526731i 0.0623509 0.998054i \(-0.480140\pi\)
−0.881961 + 0.471323i \(0.843777\pi\)
\(678\) 9.05600 62.9859i 0.347794 2.41896i
\(679\) 0.324095 2.25413i 0.0124376 0.0865056i
\(680\) −1.87888 1.20748i −0.0720517 0.0463048i
\(681\) 44.4341 + 51.2797i 1.70272 + 1.96504i
\(682\) −6.29480 13.7837i −0.241040 0.527805i
\(683\) 15.7957 10.1513i 0.604405 0.388427i −0.202350 0.979313i \(-0.564858\pi\)
0.806755 + 0.590886i \(0.201222\pi\)
\(684\) 10.2092 + 2.99768i 0.390357 + 0.114619i
\(685\) −7.70387 + 8.89074i −0.294350 + 0.339698i
\(686\) −7.67986 + 2.25501i −0.293219 + 0.0860967i
\(687\) 15.2484 33.3894i 0.581764 1.27388i
\(688\) −1.05663 7.34902i −0.0402837 0.280179i
\(689\) 64.2555 2.44794
\(690\) −4.41916 14.4543i −0.168234 0.550266i
\(691\) 46.2070 1.75780 0.878898 0.477010i \(-0.158280\pi\)
0.878898 + 0.477010i \(0.158280\pi\)
\(692\) −2.28391 15.8850i −0.0868213 0.603856i
\(693\) −2.87308 + 6.29117i −0.109139 + 0.238982i
\(694\) −26.3202 + 7.72830i −0.999100 + 0.293362i
\(695\) −10.5676 + 12.1956i −0.400852 + 0.462607i
\(696\) 0.828280 + 0.243205i 0.0313959 + 0.00921866i
\(697\) −5.80454 + 3.73035i −0.219863 + 0.141297i
\(698\) 1.47795 + 3.23625i 0.0559411 + 0.122494i
\(699\) −30.7536 35.4915i −1.16321 1.34241i
\(700\) −0.493060 0.316870i −0.0186359 0.0119766i
\(701\) −7.07288 + 49.1930i −0.267139 + 1.85799i 0.208063 + 0.978116i \(0.433284\pi\)
−0.475202 + 0.879877i \(0.657625\pi\)
\(702\) −11.0193 + 76.6409i −0.415897 + 2.89263i
\(703\) 10.9302 + 7.02442i 0.412241 + 0.264931i
\(704\) −1.11463 1.28635i −0.0420091 0.0484811i
\(705\) 7.49744 + 16.4171i 0.282370 + 0.618304i
\(706\) 11.2805 7.24957i 0.424549 0.272841i
\(707\) 9.71950 + 2.85390i 0.365540 + 0.107332i
\(708\) 13.4349 15.5047i 0.504916 0.582704i
\(709\) 5.37148 1.57721i 0.201730 0.0592333i −0.179306 0.983793i \(-0.557385\pi\)
0.381037 + 0.924560i \(0.375567\pi\)
\(710\) −3.30058 + 7.22727i −0.123869 + 0.271235i
\(711\) −11.6743 81.1963i −0.437819 3.04510i
\(712\) −10.7471 −0.402764
\(713\) 42.1909 6.54530i 1.58006 0.245124i
\(714\) −4.12555 −0.154395
\(715\) 1.51318 + 10.5244i 0.0565896 + 0.393589i
\(716\) −0.367118 + 0.803875i −0.0137198 + 0.0300422i
\(717\) −42.5998 + 12.5084i −1.59092 + 0.467136i
\(718\) −1.64868 + 1.90267i −0.0615280 + 0.0710071i
\(719\) 31.2124 + 9.16477i 1.16402 + 0.341788i 0.805995 0.591922i \(-0.201631\pi\)
0.358029 + 0.933710i \(0.383449\pi\)
\(720\) −5.83229 + 3.74819i −0.217357 + 0.139687i
\(721\) 0.376537 + 0.824501i 0.0140230 + 0.0307060i
\(722\) 10.8999 + 12.5791i 0.405651 + 0.468146i
\(723\) 2.13619 + 1.37284i 0.0794456 + 0.0510566i
\(724\) −0.831269 + 5.78161i −0.0308939 + 0.214872i
\(725\) 0.0389806 0.271116i 0.00144770 0.0100690i
\(726\) −21.4835 13.8066i −0.797328 0.512411i
\(727\) −3.28289 3.78866i −0.121756 0.140514i 0.691599 0.722282i \(-0.256907\pi\)
−0.813355 + 0.581768i \(0.802361\pi\)
\(728\) −1.52094 3.33040i −0.0563700 0.123433i
\(729\) 7.94286 5.10457i 0.294180 0.189058i
\(730\) 1.37667 + 0.404227i 0.0509529 + 0.0149611i
\(731\) −10.8591 + 12.5321i −0.401638 + 0.463515i
\(732\) −35.4084 + 10.3969i −1.30873 + 0.384279i
\(733\) −8.26980 + 18.1083i −0.305452 + 0.668847i −0.998652 0.0518981i \(-0.983473\pi\)
0.693200 + 0.720745i \(0.256200\pi\)
\(734\) −4.33915 30.1794i −0.160161 1.11394i
\(735\) 20.9789 0.773817
\(736\) 4.34004 2.04060i 0.159976 0.0752175i
\(737\) −22.4105 −0.825500
\(738\) 3.04812 + 21.2001i 0.112203 + 0.780388i
\(739\) 8.37565 18.3401i 0.308103 0.674652i −0.690721 0.723121i \(-0.742707\pi\)
0.998825 + 0.0484690i \(0.0154342\pi\)
\(740\) −8.12284 + 2.38508i −0.298602 + 0.0876773i
\(741\) 19.7870 22.8354i 0.726894 0.838880i
\(742\) 5.78451 + 1.69849i 0.212356 + 0.0623534i
\(743\) −31.2553 + 20.0866i −1.14665 + 0.736905i −0.968969 0.247184i \(-0.920495\pi\)
−0.177678 + 0.984089i \(0.556858\pi\)
\(744\) −11.6557 25.5224i −0.427319 0.935697i
\(745\) −3.12948 3.61161i −0.114655 0.132319i
\(746\) −23.8859 15.3506i −0.874526 0.562024i
\(747\) −4.28710 + 29.8174i −0.156857 + 1.09096i
\(748\) −0.541007 + 3.76278i −0.0197812 + 0.137581i
\(749\) 2.06805 + 1.32905i 0.0755648 + 0.0485625i
\(750\) 2.06389 + 2.38185i 0.0753625 + 0.0869730i
\(751\) 2.65933 + 5.82312i 0.0970404 + 0.212489i 0.951926 0.306327i \(-0.0991002\pi\)
−0.854886 + 0.518816i \(0.826373\pi\)
\(752\) −4.81749 + 3.09601i −0.175676 + 0.112900i
\(753\) −54.9875 16.1458i −2.00386 0.588385i
\(754\) 1.12048 1.29311i 0.0408056 0.0470922i
\(755\) 5.23434 1.53694i 0.190497 0.0559350i
\(756\) −3.01787 + 6.60821i −0.109759 + 0.240338i
\(757\) 0.512476 + 3.56435i 0.0186263 + 0.129548i 0.997013 0.0772355i \(-0.0246093\pi\)
−0.978387 + 0.206784i \(0.933700\pi\)
\(758\) 18.5845 0.675021
\(759\) −19.2545 + 17.0623i −0.698894 + 0.619321i
\(760\) 1.53474 0.0556710
\(761\) −3.15524 21.9452i −0.114377 0.795512i −0.963575 0.267437i \(-0.913823\pi\)
0.849198 0.528075i \(-0.177086\pi\)
\(762\) 4.05396 8.87693i 0.146859 0.321577i
\(763\) 11.3177 3.32317i 0.409728 0.120307i
\(764\) 8.51493 9.82675i 0.308059 0.355519i
\(765\) 14.8568 + 4.36235i 0.537149 + 0.157721i
\(766\) −7.14674 + 4.59293i −0.258222 + 0.165949i
\(767\) −16.8924 36.9891i −0.609948 1.33560i
\(768\) −2.06389 2.38185i −0.0744741 0.0859477i
\(769\) −1.19825 0.770067i −0.0432099 0.0277693i 0.518858 0.854861i \(-0.326358\pi\)
−0.562067 + 0.827091i \(0.689994\pi\)
\(770\) −0.141972 + 0.987440i −0.00511633 + 0.0355849i
\(771\) 7.20333 50.1003i 0.259422 1.80432i