Properties

Label 390.2.bd.b.223.4
Level $390$
Weight $2$
Character 390.223
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 223.4
Root \(-1.09227 + 0.838128i\) of defining polynomial
Character \(\chi\) \(=\) 390.223
Dual form 390.2.bd.b.7.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(0.258819 - 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.17085 + 1.90502i) q^{5} +(-0.258819 - 0.965926i) q^{6} +(1.97220 - 3.41596i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(0.258819 - 0.965926i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.17085 + 1.90502i) q^{5} +(-0.258819 - 0.965926i) q^{6} +(1.97220 - 3.41596i) q^{7} -1.00000i q^{8} +(-0.866025 - 0.500000i) q^{9} +(1.96650 + 1.06437i) q^{10} +(-1.48984 + 5.56016i) q^{11} +(-0.707107 - 0.707107i) q^{12} +(0.730685 - 3.53074i) q^{13} -3.94441i q^{14} +(2.14315 - 0.637899i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(3.85935 - 1.03411i) q^{17} -1.00000 q^{18} +(-2.08506 + 0.558691i) q^{19} +(2.23522 - 0.0614757i) q^{20} +(-2.78912 - 2.78912i) q^{21} +(1.48984 + 5.56016i) q^{22} +(-4.18221 - 1.12062i) q^{23} +(-0.965926 - 0.258819i) q^{24} +(-2.25822 + 4.46099i) q^{25} +(-1.13258 - 3.42305i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-1.97220 - 3.41596i) q^{28} +(5.04514 - 2.91282i) q^{29} +(1.53707 - 1.62401i) q^{30} +(-2.83191 + 2.83191i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(4.98511 + 2.87815i) q^{33} +(2.82524 - 2.82524i) q^{34} +(8.81663 - 0.242485i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-1.82494 - 3.16089i) q^{37} +(-1.52637 + 1.52637i) q^{38} +(-3.22131 - 1.61961i) q^{39} +(1.90502 - 1.17085i) q^{40} +(-0.0577328 - 0.0154695i) q^{41} +(-3.81000 - 1.02089i) q^{42} +(2.76364 + 10.3141i) q^{43} +(4.07032 + 4.07032i) q^{44} +(-0.0614757 - 2.23522i) q^{45} +(-4.18221 + 1.12062i) q^{46} -13.4556 q^{47} +(-0.965926 + 0.258819i) q^{48} +(-4.27917 - 7.41174i) q^{49} +(0.274824 + 4.99244i) q^{50} -3.99550i q^{51} +(-2.69236 - 2.39816i) q^{52} +(4.15062 + 4.15062i) q^{53} +(-0.258819 + 0.965926i) q^{54} +(-12.3366 + 3.67194i) q^{55} +(-3.41596 - 1.97220i) q^{56} +2.15862i q^{57} +(2.91282 - 5.04514i) q^{58} +(0.509008 + 1.89964i) q^{59} +(0.519137 - 2.17497i) q^{60} +(-1.42948 + 2.47593i) q^{61} +(-1.03655 + 3.86846i) q^{62} +(-3.41596 + 1.97220i) q^{63} -1.00000 q^{64} +(7.58165 - 2.74199i) q^{65} +5.75631 q^{66} +(-2.35978 + 1.36242i) q^{67} +(1.03411 - 3.85935i) q^{68} +(-2.16487 + 3.74966i) q^{69} +(7.51418 - 4.61831i) q^{70} +(3.31290 + 12.3639i) q^{71} +(-0.500000 + 0.866025i) q^{72} +4.59815i q^{73} +(-3.16089 - 1.82494i) q^{74} +(3.72452 + 3.33586i) q^{75} +(-0.558691 + 2.08506i) q^{76} +(16.0550 + 16.0550i) q^{77} +(-3.59954 + 0.208034i) q^{78} -2.49954i q^{79} +(1.06437 - 1.96650i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-0.0577328 + 0.0154695i) q^{82} +12.0125 q^{83} +(-3.81000 + 1.02089i) q^{84} +(6.48873 + 6.14136i) q^{85} +(7.55042 + 7.55042i) q^{86} +(-1.50778 - 5.62713i) q^{87} +(5.56016 + 1.48984i) q^{88} +(-8.00537 - 2.14503i) q^{89} +(-1.17085 - 1.90502i) q^{90} +(-10.6198 - 9.45932i) q^{91} +(-3.06159 + 3.06159i) q^{92} +(2.00246 + 3.46837i) q^{93} +(-11.6529 + 6.72781i) q^{94} +(-3.50562 - 3.31795i) q^{95} +(-0.707107 + 0.707107i) q^{96} +(8.26098 + 4.76948i) q^{97} +(-7.41174 - 4.27917i) q^{98} +(4.07032 - 4.07032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) 0.258819 0.965926i 0.149429 0.557678i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 1.17085 + 1.90502i 0.523620 + 0.851952i
\(6\) −0.258819 0.965926i −0.105662 0.394338i
\(7\) 1.97220 3.41596i 0.745423 1.29111i −0.204574 0.978851i \(-0.565581\pi\)
0.949997 0.312259i \(-0.101086\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.866025 0.500000i −0.288675 0.166667i
\(10\) 1.96650 + 1.06437i 0.621861 + 0.336584i
\(11\) −1.48984 + 5.56016i −0.449204 + 1.67645i 0.255387 + 0.966839i \(0.417797\pi\)
−0.704591 + 0.709614i \(0.748870\pi\)
\(12\) −0.707107 0.707107i −0.204124 0.204124i
\(13\) 0.730685 3.53074i 0.202656 0.979250i
\(14\) 3.94441i 1.05419i
\(15\) 2.14315 0.637899i 0.553359 0.164705i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.85935 1.03411i 0.936031 0.250809i 0.241606 0.970374i \(-0.422326\pi\)
0.694424 + 0.719566i \(0.255659\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.08506 + 0.558691i −0.478347 + 0.128173i −0.489933 0.871760i \(-0.662979\pi\)
0.0115860 + 0.999933i \(0.496312\pi\)
\(20\) 2.23522 0.0614757i 0.499811 0.0137464i
\(21\) −2.78912 2.78912i −0.608635 0.608635i
\(22\) 1.48984 + 5.56016i 0.317635 + 1.18543i
\(23\) −4.18221 1.12062i −0.872050 0.233665i −0.205076 0.978746i \(-0.565744\pi\)
−0.666974 + 0.745081i \(0.732411\pi\)
\(24\) −0.965926 0.258819i −0.197169 0.0528312i
\(25\) −2.25822 + 4.46099i −0.451643 + 0.892199i
\(26\) −1.13258 3.42305i −0.222116 0.671315i
\(27\) −0.707107 + 0.707107i −0.136083 + 0.136083i
\(28\) −1.97220 3.41596i −0.372711 0.645555i
\(29\) 5.04514 2.91282i 0.936860 0.540896i 0.0478852 0.998853i \(-0.484752\pi\)
0.888975 + 0.457957i \(0.151419\pi\)
\(30\) 1.53707 1.62401i 0.280630 0.296502i
\(31\) −2.83191 + 2.83191i −0.508627 + 0.508627i −0.914105 0.405478i \(-0.867105\pi\)
0.405478 + 0.914105i \(0.367105\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) 4.98511 + 2.87815i 0.867796 + 0.501022i
\(34\) 2.82524 2.82524i 0.484525 0.484525i
\(35\) 8.81663 0.242485i 1.49028 0.0409875i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) −1.82494 3.16089i −0.300018 0.519647i 0.676121 0.736790i \(-0.263660\pi\)
−0.976140 + 0.217143i \(0.930326\pi\)
\(38\) −1.52637 + 1.52637i −0.247610 + 0.247610i
\(39\) −3.22131 1.61961i −0.515823 0.259345i
\(40\) 1.90502 1.17085i 0.301210 0.185128i
\(41\) −0.0577328 0.0154695i −0.00901635 0.00241592i 0.254308 0.967123i \(-0.418152\pi\)
−0.263324 + 0.964707i \(0.584819\pi\)
\(42\) −3.81000 1.02089i −0.587896 0.157526i
\(43\) 2.76364 + 10.3141i 0.421452 + 1.57288i 0.771551 + 0.636167i \(0.219481\pi\)
−0.350100 + 0.936712i \(0.613852\pi\)
\(44\) 4.07032 + 4.07032i 0.613624 + 0.613624i
\(45\) −0.0614757 2.23522i −0.00916425 0.333207i
\(46\) −4.18221 + 1.12062i −0.616633 + 0.165226i
\(47\) −13.4556 −1.96270 −0.981352 0.192222i \(-0.938431\pi\)
−0.981352 + 0.192222i \(0.938431\pi\)
\(48\) −0.965926 + 0.258819i −0.139419 + 0.0373573i
\(49\) −4.27917 7.41174i −0.611310 1.05882i
\(50\) 0.274824 + 4.99244i 0.0388659 + 0.706038i
\(51\) 3.99550i 0.559481i
\(52\) −2.69236 2.39816i −0.373364 0.332565i
\(53\) 4.15062 + 4.15062i 0.570132 + 0.570132i 0.932165 0.362034i \(-0.117917\pi\)
−0.362034 + 0.932165i \(0.617917\pi\)
\(54\) −0.258819 + 0.965926i −0.0352208 + 0.131446i
\(55\) −12.3366 + 3.67194i −1.66347 + 0.495125i
\(56\) −3.41596 1.97220i −0.456476 0.263547i
\(57\) 2.15862i 0.285916i
\(58\) 2.91282 5.04514i 0.382471 0.662460i
\(59\) 0.509008 + 1.89964i 0.0662671 + 0.247312i 0.991112 0.133033i \(-0.0424717\pi\)
−0.924844 + 0.380346i \(0.875805\pi\)
\(60\) 0.519137 2.17497i 0.0670203 0.280787i
\(61\) −1.42948 + 2.47593i −0.183026 + 0.317010i −0.942910 0.333049i \(-0.891923\pi\)
0.759884 + 0.650059i \(0.225256\pi\)
\(62\) −1.03655 + 3.86846i −0.131642 + 0.491296i
\(63\) −3.41596 + 1.97220i −0.430370 + 0.248474i
\(64\) −1.00000 −0.125000
\(65\) 7.58165 2.74199i 0.940388 0.340103i
\(66\) 5.75631 0.708552
\(67\) −2.35978 + 1.36242i −0.288293 + 0.166446i −0.637172 0.770722i \(-0.719896\pi\)
0.348879 + 0.937168i \(0.386562\pi\)
\(68\) 1.03411 3.85935i 0.125404 0.468015i
\(69\) −2.16487 + 3.74966i −0.260620 + 0.451406i
\(70\) 7.51418 4.61831i 0.898116 0.551994i
\(71\) 3.31290 + 12.3639i 0.393169 + 1.46733i 0.824876 + 0.565313i \(0.191245\pi\)
−0.431707 + 0.902014i \(0.642089\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 4.59815i 0.538173i 0.963116 + 0.269087i \(0.0867218\pi\)
−0.963116 + 0.269087i \(0.913278\pi\)
\(74\) −3.16089 1.82494i −0.367446 0.212145i
\(75\) 3.72452 + 3.33586i 0.430070 + 0.385192i
\(76\) −0.558691 + 2.08506i −0.0640863 + 0.239173i
\(77\) 16.0550 + 16.0550i 1.82964 + 1.82964i
\(78\) −3.59954 + 0.208034i −0.407568 + 0.0235552i
\(79\) 2.49954i 0.281220i −0.990065 0.140610i \(-0.955094\pi\)
0.990065 0.140610i \(-0.0449063\pi\)
\(80\) 1.06437 1.96650i 0.119000 0.219861i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) −0.0577328 + 0.0154695i −0.00637552 + 0.00170832i
\(83\) 12.0125 1.31855 0.659274 0.751903i \(-0.270864\pi\)
0.659274 + 0.751903i \(0.270864\pi\)
\(84\) −3.81000 + 1.02089i −0.415706 + 0.111388i
\(85\) 6.48873 + 6.14136i 0.703802 + 0.666124i
\(86\) 7.55042 + 7.55042i 0.814182 + 0.814182i
\(87\) −1.50778 5.62713i −0.161651 0.603291i
\(88\) 5.56016 + 1.48984i 0.592715 + 0.158818i
\(89\) −8.00537 2.14503i −0.848567 0.227373i −0.191770 0.981440i \(-0.561423\pi\)
−0.656798 + 0.754067i \(0.728089\pi\)
\(90\) −1.17085 1.90502i −0.123419 0.200807i
\(91\) −10.6198 9.45932i −1.11326 0.991606i
\(92\) −3.06159 + 3.06159i −0.319193 + 0.319193i
\(93\) 2.00246 + 3.46837i 0.207646 + 0.359653i
\(94\) −11.6529 + 6.72781i −1.20191 + 0.693920i
\(95\) −3.50562 3.31795i −0.359669 0.340414i
\(96\) −0.707107 + 0.707107i −0.0721688 + 0.0721688i
\(97\) 8.26098 + 4.76948i 0.838776 + 0.484267i 0.856848 0.515569i \(-0.172420\pi\)
−0.0180722 + 0.999837i \(0.505753\pi\)
\(98\) −7.41174 4.27917i −0.748699 0.432262i
\(99\) 4.07032 4.07032i 0.409083 0.409083i
\(100\) 2.73423 + 4.18617i 0.273423 + 0.418617i
\(101\) −5.66842 + 3.27266i −0.564029 + 0.325642i −0.754761 0.656000i \(-0.772247\pi\)
0.190732 + 0.981642i \(0.438914\pi\)
\(102\) −1.99775 3.46020i −0.197807 0.342611i
\(103\) 5.76194 5.76194i 0.567741 0.567741i −0.363754 0.931495i \(-0.618505\pi\)
0.931495 + 0.363754i \(0.118505\pi\)
\(104\) −3.53074 0.730685i −0.346217 0.0716496i
\(105\) 2.04769 8.57897i 0.199834 0.837222i
\(106\) 5.66985 + 1.51923i 0.550705 + 0.147561i
\(107\) −12.0481 3.22828i −1.16474 0.312090i −0.375880 0.926668i \(-0.622659\pi\)
−0.788856 + 0.614578i \(0.789326\pi\)
\(108\) 0.258819 + 0.965926i 0.0249049 + 0.0929463i
\(109\) −1.07788 1.07788i −0.103242 0.103242i 0.653599 0.756841i \(-0.273258\pi\)
−0.756841 + 0.653599i \(0.773258\pi\)
\(110\) −8.84785 + 9.34830i −0.843610 + 0.891326i
\(111\) −3.52552 + 0.944659i −0.334627 + 0.0896631i
\(112\) −3.94441 −0.372711
\(113\) −8.17239 + 2.18978i −0.768793 + 0.205998i −0.621838 0.783146i \(-0.713614\pi\)
−0.146955 + 0.989143i \(0.546947\pi\)
\(114\) 1.07931 + 1.86942i 0.101087 + 0.175087i
\(115\) −2.76194 9.27927i −0.257552 0.865297i
\(116\) 5.82563i 0.540896i
\(117\) −2.39816 + 2.69236i −0.221710 + 0.248909i
\(118\) 1.39063 + 1.39063i 0.128018 + 0.128018i
\(119\) 4.07895 15.2229i 0.373917 1.39548i
\(120\) −0.637899 2.14315i −0.0582320 0.195642i
\(121\) −19.1695 11.0675i −1.74268 1.00614i
\(122\) 2.85896i 0.258838i
\(123\) −0.0298847 + 0.0517618i −0.00269461 + 0.00466721i
\(124\) 1.03655 + 3.86846i 0.0930851 + 0.347398i
\(125\) −11.1423 + 0.921206i −0.996600 + 0.0823952i
\(126\) −1.97220 + 3.41596i −0.175698 + 0.304318i
\(127\) 3.31300 12.3643i 0.293981 1.09715i −0.648043 0.761604i \(-0.724412\pi\)
0.942023 0.335547i \(-0.108921\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) 10.6779 0.940137
\(130\) 5.19491 6.16546i 0.455623 0.540747i
\(131\) 13.9900 1.22231 0.611156 0.791510i \(-0.290705\pi\)
0.611156 + 0.791510i \(0.290705\pi\)
\(132\) 4.98511 2.87815i 0.433898 0.250511i
\(133\) −2.20371 + 8.22434i −0.191086 + 0.713141i
\(134\) −1.36242 + 2.35978i −0.117695 + 0.203854i
\(135\) −2.17497 0.519137i −0.187192 0.0446802i
\(136\) −1.03411 3.85935i −0.0886742 0.330937i
\(137\) −4.16740 + 7.21815i −0.356045 + 0.616688i −0.987296 0.158890i \(-0.949208\pi\)
0.631251 + 0.775579i \(0.282542\pi\)
\(138\) 4.32974i 0.368572i
\(139\) −1.77925 1.02725i −0.150914 0.0871305i 0.422641 0.906297i \(-0.361103\pi\)
−0.573556 + 0.819167i \(0.694436\pi\)
\(140\) 4.19832 7.75667i 0.354822 0.655558i
\(141\) −3.48257 + 12.9971i −0.293285 + 1.09456i
\(142\) 9.05102 + 9.05102i 0.759545 + 0.759545i
\(143\) 18.5429 + 9.32297i 1.55063 + 0.779626i
\(144\) 1.00000i 0.0833333i
\(145\) 11.4561 + 6.20064i 0.951376 + 0.514935i
\(146\) 2.29908 + 3.98212i 0.190273 + 0.329562i
\(147\) −8.26673 + 2.21506i −0.681828 + 0.182695i
\(148\) −3.64988 −0.300018
\(149\) 17.1570 4.59720i 1.40555 0.376617i 0.525218 0.850968i \(-0.323984\pi\)
0.880336 + 0.474351i \(0.157317\pi\)
\(150\) 4.89346 + 1.02668i 0.399549 + 0.0838280i
\(151\) −10.3481 10.3481i −0.842114 0.842114i 0.147019 0.989134i \(-0.453032\pi\)
−0.989134 + 0.147019i \(0.953032\pi\)
\(152\) 0.558691 + 2.08506i 0.0453159 + 0.169121i
\(153\) −3.85935 1.03411i −0.312010 0.0836029i
\(154\) 21.9315 + 5.87654i 1.76729 + 0.473545i
\(155\) −8.71060 2.07911i −0.699653 0.166998i
\(156\) −3.01328 + 1.97994i −0.241255 + 0.158522i
\(157\) 12.4400 12.4400i 0.992820 0.992820i −0.00715412 0.999974i \(-0.502277\pi\)
0.999974 + 0.00715412i \(0.00227725\pi\)
\(158\) −1.24977 2.16466i −0.0994262 0.172211i
\(159\) 5.08345 2.93493i 0.403144 0.232755i
\(160\) −0.0614757 2.23522i −0.00486008 0.176710i
\(161\) −12.0761 + 12.0761i −0.951734 + 0.951734i
\(162\) 0.866025 + 0.500000i 0.0680414 + 0.0392837i
\(163\) −19.4367 11.2218i −1.52240 0.878957i −0.999650 0.0264701i \(-0.991573\pi\)
−0.522749 0.852487i \(-0.675093\pi\)
\(164\) −0.0422634 + 0.0422634i −0.00330021 + 0.00330021i
\(165\) 0.353873 + 12.8666i 0.0275490 + 1.00167i
\(166\) 10.4032 6.00627i 0.807442 0.466177i
\(167\) −7.16686 12.4134i −0.554589 0.960576i −0.997935 0.0642254i \(-0.979542\pi\)
0.443347 0.896350i \(-0.353791\pi\)
\(168\) −2.78912 + 2.78912i −0.215185 + 0.215185i
\(169\) −11.9322 5.15971i −0.917861 0.396901i
\(170\) 8.69009 + 2.07421i 0.666499 + 0.159085i
\(171\) 2.08506 + 0.558691i 0.159449 + 0.0427242i
\(172\) 10.3141 + 2.76364i 0.786440 + 0.210726i
\(173\) −2.31128 8.62581i −0.175723 0.655808i −0.996427 0.0844546i \(-0.973085\pi\)
0.820704 0.571353i \(-0.193581\pi\)
\(174\) −4.11934 4.11934i −0.312287 0.312287i
\(175\) 10.7849 + 16.5120i 0.815261 + 1.24819i
\(176\) 5.56016 1.48984i 0.419113 0.112301i
\(177\) 1.96665 0.147823
\(178\) −8.00537 + 2.14503i −0.600028 + 0.160777i
\(179\) −4.09709 7.09637i −0.306231 0.530408i 0.671304 0.741182i \(-0.265735\pi\)
−0.977535 + 0.210775i \(0.932401\pi\)
\(180\) −1.96650 1.06437i −0.146574 0.0793336i
\(181\) 14.8291i 1.10224i −0.834426 0.551120i \(-0.814201\pi\)
0.834426 0.551120i \(-0.185799\pi\)
\(182\) −13.9267 2.88212i −1.03231 0.213637i
\(183\) 2.02159 + 2.02159i 0.149440 + 0.149440i
\(184\) −1.12062 + 4.18221i −0.0826131 + 0.308316i
\(185\) 3.88483 7.17748i 0.285619 0.527699i
\(186\) 3.46837 + 2.00246i 0.254313 + 0.146828i
\(187\) 22.9993i 1.68188i
\(188\) −6.72781 + 11.6529i −0.490676 + 0.849875i
\(189\) 1.02089 + 3.81000i 0.0742586 + 0.277137i
\(190\) −4.69493 1.12062i −0.340606 0.0812982i
\(191\) 7.09233 12.2843i 0.513183 0.888859i −0.486700 0.873569i \(-0.661799\pi\)
0.999883 0.0152901i \(-0.00486717\pi\)
\(192\) −0.258819 + 0.965926i −0.0186787 + 0.0697097i
\(193\) 16.4778 9.51346i 1.18610 0.684794i 0.228680 0.973502i \(-0.426559\pi\)
0.957417 + 0.288708i \(0.0932256\pi\)
\(194\) 9.53896 0.684857
\(195\) −0.686287 8.03300i −0.0491461 0.575255i
\(196\) −8.55834 −0.611310
\(197\) −2.51498 + 1.45202i −0.179185 + 0.103452i −0.586910 0.809652i \(-0.699656\pi\)
0.407725 + 0.913105i \(0.366322\pi\)
\(198\) 1.48984 5.56016i 0.105878 0.395144i
\(199\) 4.54977 7.88044i 0.322525 0.558630i −0.658483 0.752595i \(-0.728802\pi\)
0.981008 + 0.193966i \(0.0621351\pi\)
\(200\) 4.46099 + 2.25822i 0.315440 + 0.159680i
\(201\) 0.705239 + 2.63199i 0.0497437 + 0.185646i
\(202\) −3.27266 + 5.66842i −0.230264 + 0.398829i
\(203\) 22.9787i 1.61279i
\(204\) −3.46020 1.99775i −0.242263 0.139870i
\(205\) −0.0381269 0.128095i −0.00266290 0.00894652i
\(206\) 2.10902 7.87096i 0.146942 0.548396i
\(207\) 3.06159 + 3.06159i 0.212795 + 0.212795i
\(208\) −3.42305 + 1.13258i −0.237346 + 0.0785300i
\(209\) 12.4257i 0.859501i
\(210\) −2.51613 8.45345i −0.173630 0.583343i
\(211\) −0.853215 1.47781i −0.0587377 0.101737i 0.835161 0.550005i \(-0.185374\pi\)
−0.893899 + 0.448268i \(0.852041\pi\)
\(212\) 5.66985 1.51923i 0.389407 0.104341i
\(213\) 12.8001 0.877046
\(214\) −12.0481 + 3.22828i −0.823592 + 0.220681i
\(215\) −16.4127 + 17.3410i −1.11934 + 1.18265i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 4.08858 + 15.2588i 0.277551 + 1.03583i
\(218\) −1.47241 0.394532i −0.0997244 0.0267211i
\(219\) 4.44148 + 1.19009i 0.300127 + 0.0804188i
\(220\) −2.98831 + 12.5198i −0.201472 + 0.844084i
\(221\) −0.831200 14.3820i −0.0559126 0.967436i
\(222\) −2.58086 + 2.58086i −0.173216 + 0.173216i
\(223\) 13.0458 + 22.5960i 0.873613 + 1.51314i 0.858233 + 0.513261i \(0.171563\pi\)
0.0153806 + 0.999882i \(0.495104\pi\)
\(224\) −3.41596 + 1.97220i −0.228238 + 0.131773i
\(225\) 4.18617 2.73423i 0.279078 0.182282i
\(226\) −5.98260 + 5.98260i −0.397957 + 0.397957i
\(227\) 3.98974 + 2.30348i 0.264808 + 0.152887i 0.626526 0.779401i \(-0.284476\pi\)
−0.361718 + 0.932288i \(0.617810\pi\)
\(228\) 1.86942 + 1.07931i 0.123805 + 0.0714790i
\(229\) −3.74685 + 3.74685i −0.247599 + 0.247599i −0.819985 0.572386i \(-0.806018\pi\)
0.572386 + 0.819985i \(0.306018\pi\)
\(230\) −7.03154 6.65512i −0.463646 0.438825i
\(231\) 19.6633 11.3526i 1.29375 0.746947i
\(232\) −2.91282 5.04514i −0.191236 0.331230i
\(233\) −8.41343 + 8.41343i −0.551182 + 0.551182i −0.926782 0.375600i \(-0.877437\pi\)
0.375600 + 0.926782i \(0.377437\pi\)
\(234\) −0.730685 + 3.53074i −0.0477664 + 0.230811i
\(235\) −15.7545 25.6332i −1.02771 1.67213i
\(236\) 1.89964 + 0.509008i 0.123656 + 0.0331336i
\(237\) −2.41437 0.646927i −0.156830 0.0420224i
\(238\) −4.07895 15.2229i −0.264399 0.986751i
\(239\) −4.88289 4.88289i −0.315848 0.315848i 0.531322 0.847170i \(-0.321695\pi\)
−0.847170 + 0.531322i \(0.821695\pi\)
\(240\) −1.62401 1.53707i −0.104829 0.0992175i
\(241\) 8.02186 2.14945i 0.516733 0.138458i 0.00897808 0.999960i \(-0.497142\pi\)
0.507755 + 0.861501i \(0.330475\pi\)
\(242\) −22.1351 −1.42289
\(243\) 0.965926 0.258819i 0.0619642 0.0166032i
\(244\) 1.42948 + 2.47593i 0.0915130 + 0.158505i
\(245\) 9.10926 16.8300i 0.581969 1.07523i
\(246\) 0.0597694i 0.00381076i
\(247\) 0.449066 + 7.77004i 0.0285734 + 0.494396i
\(248\) 2.83191 + 2.83191i 0.179827 + 0.179827i
\(249\) 3.10907 11.6032i 0.197030 0.735324i
\(250\) −9.18893 + 6.36895i −0.581159 + 0.402808i
\(251\) 22.9835 + 13.2695i 1.45071 + 0.837565i 0.998521 0.0543591i \(-0.0173116\pi\)
0.452184 + 0.891924i \(0.350645\pi\)
\(252\) 3.94441i 0.248474i
\(253\) 12.4616 21.5842i 0.783457 1.35699i
\(254\) −3.31300 12.3643i −0.207876 0.775803i
\(255\) 7.61151 4.67813i 0.476651 0.292956i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.18509 19.3510i 0.323437 1.20708i −0.592437 0.805617i \(-0.701834\pi\)
0.915874 0.401466i \(-0.131499\pi\)
\(258\) 9.24733 5.33895i 0.575714 0.332389i
\(259\) −14.3966 −0.894562
\(260\) 1.41619 7.93690i 0.0878283 0.492226i
\(261\) −5.82563 −0.360597
\(262\) 12.1157 6.99500i 0.748510 0.432153i
\(263\) −4.06256 + 15.1617i −0.250508 + 0.934910i 0.720026 + 0.693947i \(0.244130\pi\)
−0.970534 + 0.240963i \(0.922537\pi\)
\(264\) 2.87815 4.98511i 0.177138 0.306812i
\(265\) −3.04727 + 12.7668i −0.187192 + 0.784257i
\(266\) 2.20371 + 8.22434i 0.135118 + 0.504267i
\(267\) −4.14388 + 7.17742i −0.253602 + 0.439251i
\(268\) 2.72484i 0.166446i
\(269\) −7.38580 4.26419i −0.450320 0.259992i 0.257645 0.966240i \(-0.417053\pi\)
−0.707965 + 0.706247i \(0.750387\pi\)
\(270\) −2.14315 + 0.637899i −0.130428 + 0.0388213i
\(271\) −5.38936 + 20.1134i −0.327380 + 1.22180i 0.584517 + 0.811382i \(0.301284\pi\)
−0.911897 + 0.410419i \(0.865383\pi\)
\(272\) −2.82524 2.82524i −0.171305 0.171305i
\(273\) −11.8856 + 7.80967i −0.719349 + 0.472663i
\(274\) 8.33481i 0.503524i
\(275\) −21.4395 19.2022i −1.29285 1.15794i
\(276\) 2.16487 + 3.74966i 0.130310 + 0.225703i
\(277\) 26.8528 7.19517i 1.61343 0.432316i 0.664365 0.747409i \(-0.268702\pi\)
0.949061 + 0.315093i \(0.102036\pi\)
\(278\) −2.05451 −0.123221
\(279\) 3.86846 1.03655i 0.231599 0.0620567i
\(280\) −0.242485 8.81663i −0.0144913 0.526894i
\(281\) 2.84766 + 2.84766i 0.169877 + 0.169877i 0.786925 0.617048i \(-0.211672\pi\)
−0.617048 + 0.786925i \(0.711672\pi\)
\(282\) 3.48257 + 12.9971i 0.207384 + 0.773968i
\(283\) −27.4548 7.35650i −1.63202 0.437299i −0.677519 0.735505i \(-0.736945\pi\)
−0.954501 + 0.298207i \(0.903612\pi\)
\(284\) 12.3639 + 3.31290i 0.733664 + 0.196585i
\(285\) −4.11221 + 2.52742i −0.243587 + 0.149711i
\(286\) 20.7201 1.19751i 1.22520 0.0708102i
\(287\) −0.166704 + 0.166704i −0.00984022 + 0.00984022i
\(288\) 0.500000 + 0.866025i 0.0294628 + 0.0510310i
\(289\) −0.897213 + 0.518006i −0.0527772 + 0.0304709i
\(290\) 13.0216 0.358135i 0.764654 0.0210304i
\(291\) 6.74506 6.74506i 0.395403 0.395403i
\(292\) 3.98212 + 2.29908i 0.233036 + 0.134543i
\(293\) 2.70934 + 1.56424i 0.158281 + 0.0913838i 0.577049 0.816710i \(-0.304204\pi\)
−0.418767 + 0.908094i \(0.637538\pi\)
\(294\) −6.05166 + 6.05166i −0.352940 + 0.352940i
\(295\) −3.02289 + 3.19387i −0.175999 + 0.185954i
\(296\) −3.16089 + 1.82494i −0.183723 + 0.106073i
\(297\) −2.87815 4.98511i −0.167007 0.289265i
\(298\) 12.5598 12.5598i 0.727568 0.727568i
\(299\) −7.01249 + 13.9474i −0.405542 + 0.806602i
\(300\) 4.75120 1.55760i 0.274311 0.0899280i
\(301\) 40.6829 + 10.9009i 2.34492 + 0.628320i
\(302\) −14.1357 3.78766i −0.813420 0.217955i
\(303\) 1.69406 + 6.32230i 0.0973209 + 0.363207i
\(304\) 1.52637 + 1.52637i 0.0875435 + 0.0875435i
\(305\) −6.39040 + 0.175756i −0.365914 + 0.0100638i
\(306\) −3.85935 + 1.03411i −0.220625 + 0.0591162i
\(307\) 27.4796 1.56835 0.784173 0.620542i \(-0.213088\pi\)
0.784173 + 0.620542i \(0.213088\pi\)
\(308\) 21.9315 5.87654i 1.24967 0.334847i
\(309\) −4.07431 7.05691i −0.231779 0.401454i
\(310\) −8.58316 + 2.55474i −0.487491 + 0.145100i
\(311\) 8.90153i 0.504759i −0.967628 0.252380i \(-0.918787\pi\)
0.967628 0.252380i \(-0.0812132\pi\)
\(312\) −1.61961 + 3.22131i −0.0916923 + 0.182371i
\(313\) 10.1819 + 10.1819i 0.575514 + 0.575514i 0.933664 0.358150i \(-0.116592\pi\)
−0.358150 + 0.933664i \(0.616592\pi\)
\(314\) 4.55336 16.9934i 0.256961 0.958991i
\(315\) −7.75667 4.19832i −0.437039 0.236548i
\(316\) −2.16466 1.24977i −0.121772 0.0703049i
\(317\) 16.5893i 0.931750i 0.884850 + 0.465875i \(0.154260\pi\)
−0.884850 + 0.465875i \(0.845740\pi\)
\(318\) 2.93493 5.08345i 0.164583 0.285066i
\(319\) 8.67927 + 32.3915i 0.485946 + 1.81357i
\(320\) −1.17085 1.90502i −0.0654526 0.106494i
\(321\) −6.23657 + 10.8020i −0.348091 + 0.602912i
\(322\) −4.42018 + 16.4963i −0.246327 + 0.919304i
\(323\) −7.46925 + 4.31237i −0.415600 + 0.239947i
\(324\) 1.00000 0.0555556
\(325\) 14.1005 + 11.2327i 0.782158 + 0.623081i
\(326\) −22.4435 −1.24303
\(327\) −1.32013 + 0.762177i −0.0730033 + 0.0421485i
\(328\) −0.0154695 + 0.0577328i −0.000854158 + 0.00318776i
\(329\) −26.5372 + 45.9638i −1.46304 + 2.53407i
\(330\) 6.73978 + 10.9659i 0.371012 + 0.603652i
\(331\) −1.64893 6.15390i −0.0906335 0.338249i 0.905688 0.423945i \(-0.139355\pi\)
−0.996321 + 0.0856964i \(0.972688\pi\)
\(332\) 6.00627 10.4032i 0.329637 0.570948i
\(333\) 3.64988i 0.200012i
\(334\) −12.4134 7.16686i −0.679229 0.392153i
\(335\) −5.35838 2.90024i −0.292760 0.158457i
\(336\) −1.02089 + 3.81000i −0.0556940 + 0.207853i
\(337\) −15.8216 15.8216i −0.861857 0.861857i 0.129697 0.991554i \(-0.458600\pi\)
−0.991554 + 0.129697i \(0.958600\pi\)
\(338\) −12.9134 + 1.49766i −0.702399 + 0.0814618i
\(339\) 8.46068i 0.459521i
\(340\) 8.56294 2.54872i 0.464391 0.138224i
\(341\) −11.5268 19.9650i −0.624211 1.08117i
\(342\) 2.08506 0.558691i 0.112747 0.0302106i
\(343\) −6.14674 −0.331893
\(344\) 10.3141 2.76364i 0.556097 0.149006i
\(345\) −9.67793 + 0.266174i −0.521042 + 0.0143303i
\(346\) −6.31453 6.31453i −0.339471 0.339471i
\(347\) −6.79115 25.3449i −0.364568 1.36059i −0.868006 0.496554i \(-0.834598\pi\)
0.503438 0.864031i \(-0.332068\pi\)
\(348\) −5.62713 1.50778i −0.301646 0.0808257i
\(349\) 21.6505 + 5.80122i 1.15892 + 0.310532i 0.786535 0.617545i \(-0.211873\pi\)
0.372387 + 0.928078i \(0.378539\pi\)
\(350\) 17.5960 + 8.90732i 0.940544 + 0.476116i
\(351\) 1.97994 + 3.01328i 0.105681 + 0.160837i
\(352\) 4.07032 4.07032i 0.216949 0.216949i
\(353\) 6.91152 + 11.9711i 0.367863 + 0.637157i 0.989231 0.146361i \(-0.0467562\pi\)
−0.621368 + 0.783519i \(0.713423\pi\)
\(354\) 1.70317 0.983327i 0.0905226 0.0522632i
\(355\) −19.6746 + 20.7875i −1.04422 + 1.10328i
\(356\) −5.86034 + 5.86034i −0.310597 + 0.310597i
\(357\) −13.6484 7.87993i −0.722352 0.417050i
\(358\) −7.09637 4.09709i −0.375055 0.216538i
\(359\) −4.57733 + 4.57733i −0.241582 + 0.241582i −0.817504 0.575922i \(-0.804643\pi\)
0.575922 + 0.817504i \(0.304643\pi\)
\(360\) −2.23522 + 0.0614757i −0.117807 + 0.00324005i
\(361\) −12.4191 + 7.17019i −0.653638 + 0.377378i
\(362\) −7.41456 12.8424i −0.389700 0.674981i
\(363\) −15.6518 + 15.6518i −0.821509 + 0.821509i
\(364\) −13.5019 + 4.46734i −0.707692 + 0.234152i
\(365\) −8.75958 + 5.38375i −0.458498 + 0.281798i
\(366\) 2.76154 + 0.739952i 0.144348 + 0.0386779i
\(367\) −16.0270 4.29441i −0.836601 0.224167i −0.185010 0.982737i \(-0.559232\pi\)
−0.651591 + 0.758570i \(0.725898\pi\)
\(368\) 1.12062 + 4.18221i 0.0584163 + 0.218013i
\(369\) 0.0422634 + 0.0422634i 0.00220014 + 0.00220014i
\(370\) −0.224379 8.15830i −0.0116649 0.424130i
\(371\) 22.3642 5.99247i 1.16109 0.311114i
\(372\) 4.00493 0.207646
\(373\) −8.78910 + 2.35503i −0.455082 + 0.121939i −0.479077 0.877773i \(-0.659028\pi\)
0.0239941 + 0.999712i \(0.492362\pi\)
\(374\) 11.4996 + 19.9180i 0.594633 + 1.02993i
\(375\) −1.99403 + 11.0011i −0.102971 + 0.568094i
\(376\) 13.4556i 0.693920i
\(377\) −6.59797 19.9414i −0.339813 1.02704i
\(378\) 2.78912 + 2.78912i 0.143457 + 0.143457i
\(379\) 2.63393 9.82994i 0.135296 0.504930i −0.864701 0.502287i \(-0.832492\pi\)
0.999997 0.00264304i \(-0.000841308\pi\)
\(380\) −4.62624 + 1.37698i −0.237321 + 0.0706376i
\(381\) −11.0855 6.40022i −0.567927 0.327893i
\(382\) 14.1847i 0.725751i
\(383\) 11.4734 19.8726i 0.586266 1.01544i −0.408451 0.912780i \(-0.633931\pi\)
0.994716 0.102661i \(-0.0327358\pi\)
\(384\) 0.258819 + 0.965926i 0.0132078 + 0.0492922i
\(385\) −11.7871 + 49.3832i −0.600727 + 2.51680i
\(386\) 9.51346 16.4778i 0.484222 0.838698i
\(387\) 2.76364 10.3141i 0.140484 0.524293i
\(388\) 8.26098 4.76948i 0.419388 0.242134i
\(389\) −4.23516 −0.214731 −0.107366 0.994220i \(-0.534242\pi\)
−0.107366 + 0.994220i \(0.534242\pi\)
\(390\) −4.61084 6.61363i −0.233479 0.334894i
\(391\) −17.2995 −0.874871
\(392\) −7.41174 + 4.27917i −0.374350 + 0.216131i
\(393\) 3.62088 13.5133i 0.182649 0.681656i
\(394\) −1.45202 + 2.51498i −0.0731519 + 0.126703i
\(395\) 4.76167 2.92658i 0.239586 0.147252i
\(396\) −1.48984 5.56016i −0.0748673 0.279409i
\(397\) −8.54497 + 14.8003i −0.428860 + 0.742807i −0.996772 0.0802821i \(-0.974418\pi\)
0.567912 + 0.823089i \(0.307751\pi\)
\(398\) 9.09955i 0.456119i
\(399\) 7.37374 + 4.25723i 0.369149 + 0.213128i
\(400\) 4.99244 0.274824i 0.249622 0.0137412i
\(401\) −2.85538 + 10.6564i −0.142591 + 0.532156i 0.857260 + 0.514884i \(0.172165\pi\)
−0.999851 + 0.0172721i \(0.994502\pi\)
\(402\) 1.92675 + 1.92675i 0.0960975 + 0.0960975i
\(403\) 7.92950 + 12.0680i 0.394997 + 0.601149i
\(404\) 6.54533i 0.325642i
\(405\) −1.06437 + 1.96650i −0.0528891 + 0.0977160i
\(406\) −11.4893 19.9001i −0.570206 0.987625i
\(407\) 20.2939 5.43775i 1.00593 0.269539i
\(408\) −3.99550 −0.197807
\(409\) 10.1249 2.71296i 0.500645 0.134147i 0.000345561 1.00000i \(-0.499890\pi\)
0.500299 + 0.865853i \(0.333223\pi\)
\(410\) −0.0970662 0.0918698i −0.00479376 0.00453713i
\(411\) 5.89360 + 5.89360i 0.290710 + 0.290710i
\(412\) −2.10902 7.87096i −0.103904 0.387774i
\(413\) 7.49296 + 2.00773i 0.368705 + 0.0987941i
\(414\) 4.18221 + 1.12062i 0.205544 + 0.0550754i
\(415\) 14.0649 + 22.8842i 0.690418 + 1.12334i
\(416\) −2.39816 + 2.69236i −0.117579 + 0.132004i
\(417\) −1.45276 + 1.45276i −0.0711417 + 0.0711417i
\(418\) −6.21283 10.7609i −0.303879 0.526335i
\(419\) −31.2083 + 18.0181i −1.52462 + 0.880242i −0.525049 + 0.851072i \(0.675953\pi\)
−0.999574 + 0.0291695i \(0.990714\pi\)
\(420\) −6.40576 6.06283i −0.312569 0.295836i
\(421\) 11.8375 11.8375i 0.576926 0.576926i −0.357129 0.934055i \(-0.616244\pi\)
0.934055 + 0.357129i \(0.116244\pi\)
\(422\) −1.47781 0.853215i −0.0719388 0.0415339i
\(423\) 11.6529 + 6.72781i 0.566584 + 0.327117i
\(424\) 4.15062 4.15062i 0.201572 0.201572i
\(425\) −4.10209 + 19.5518i −0.198981 + 0.948401i
\(426\) 11.0852 6.40004i 0.537079 0.310083i
\(427\) 5.63844 + 9.76607i 0.272863 + 0.472613i
\(428\) −8.81983 + 8.81983i −0.426323 + 0.426323i
\(429\) 13.8045 15.4981i 0.666490 0.748254i
\(430\) −5.54330 + 23.2241i −0.267321 + 1.11997i
\(431\) −17.2346 4.61800i −0.830163 0.222441i −0.181378 0.983413i \(-0.558056\pi\)
−0.648785 + 0.760972i \(0.724722\pi\)
\(432\) 0.965926 + 0.258819i 0.0464731 + 0.0124524i
\(433\) −9.11056 34.0011i −0.437826 1.63399i −0.734213 0.678920i \(-0.762448\pi\)
0.296387 0.955068i \(-0.404218\pi\)
\(434\) 11.1702 + 11.1702i 0.536188 + 0.536188i
\(435\) 8.95441 9.46089i 0.429331 0.453615i
\(436\) −1.47241 + 0.394532i −0.0705158 + 0.0188947i
\(437\) 9.34625 0.447092
\(438\) 4.44148 1.19009i 0.212222 0.0568647i
\(439\) 10.6384 + 18.4262i 0.507743 + 0.879436i 0.999960 + 0.00896365i \(0.00285326\pi\)
−0.492217 + 0.870472i \(0.663813\pi\)
\(440\) 3.67194 + 12.3366i 0.175053 + 0.588125i
\(441\) 8.55834i 0.407540i
\(442\) −7.91082 12.0395i −0.376279 0.572663i
\(443\) 1.91611 + 1.91611i 0.0910369 + 0.0910369i 0.751159 0.660122i \(-0.229495\pi\)
−0.660122 + 0.751159i \(0.729495\pi\)
\(444\) −0.944659 + 3.52552i −0.0448315 + 0.167314i
\(445\) −5.28676 17.7619i −0.250616 0.841996i
\(446\) 22.5960 + 13.0458i 1.06995 + 0.617738i
\(447\) 17.7622i 0.840124i
\(448\) −1.97220 + 3.41596i −0.0931779 + 0.161389i
\(449\) 6.95367 + 25.9514i 0.328164 + 1.22472i 0.911093 + 0.412201i \(0.135240\pi\)
−0.582929 + 0.812523i \(0.698093\pi\)
\(450\) 2.25822 4.46099i 0.106453 0.210293i
\(451\) 0.172025 0.297957i 0.00810036 0.0140302i
\(452\) −2.18978 + 8.17239i −0.102999 + 0.384397i
\(453\) −12.6737 + 7.31719i −0.595465 + 0.343792i
\(454\) 4.60695 0.216215
\(455\) 5.58603 31.3064i 0.261877 1.46767i
\(456\) 2.15862 0.101087
\(457\) −4.90777 + 2.83350i −0.229576 + 0.132546i −0.610376 0.792111i \(-0.708982\pi\)
0.380800 + 0.924657i \(0.375648\pi\)
\(458\) −1.37144 + 5.11829i −0.0640833 + 0.239162i
\(459\) −1.99775 + 3.46020i −0.0932469 + 0.161508i
\(460\) −9.41705 2.24773i −0.439072 0.104801i
\(461\) 9.72828 + 36.3064i 0.453091 + 1.69096i 0.693639 + 0.720322i \(0.256006\pi\)
−0.240548 + 0.970637i \(0.577327\pi\)
\(462\) 11.3526 19.6633i 0.528171 0.914819i
\(463\) 14.2949i 0.664342i 0.943219 + 0.332171i \(0.107781\pi\)
−0.943219 + 0.332171i \(0.892219\pi\)
\(464\) −5.04514 2.91282i −0.234215 0.135224i
\(465\) −4.26273 + 7.87568i −0.197680 + 0.365226i
\(466\) −3.07953 + 11.4930i −0.142657 + 0.532401i
\(467\) 13.2534 + 13.2534i 0.613296 + 0.613296i 0.943803 0.330507i \(-0.107220\pi\)
−0.330507 + 0.943803i \(0.607220\pi\)
\(468\) 1.13258 + 3.42305i 0.0523534 + 0.158231i
\(469\) 10.7479i 0.496290i
\(470\) −26.4604 14.3218i −1.22053 0.660614i
\(471\) −8.79641 15.2358i −0.405317 0.702030i
\(472\) 1.89964 0.509008i 0.0874381 0.0234290i
\(473\) −61.4653 −2.82618
\(474\) −2.41437 + 0.646927i −0.110895 + 0.0297144i
\(475\) 2.21621 10.5631i 0.101687 0.484668i
\(476\) −11.1439 11.1439i −0.510780 0.510780i
\(477\) −1.51923 5.66985i −0.0695609 0.259605i
\(478\) −6.67015 1.78726i −0.305086 0.0817475i
\(479\) −8.14759 2.18314i −0.372273 0.0997503i 0.0678315 0.997697i \(-0.478392\pi\)
−0.440105 + 0.897947i \(0.645059\pi\)
\(480\) −2.17497 0.519137i −0.0992734 0.0236953i
\(481\) −12.4937 + 4.13377i −0.569665 + 0.188484i
\(482\) 5.87241 5.87241i 0.267481 0.267481i
\(483\) 8.53912 + 14.7902i 0.388544 + 0.672977i
\(484\) −19.1695 + 11.0675i −0.871342 + 0.503069i
\(485\) 0.586414 + 21.3217i 0.0266277 + 0.968169i
\(486\) 0.707107 0.707107i 0.0320750 0.0320750i
\(487\) −25.6419 14.8044i −1.16195 0.670850i −0.210176 0.977664i \(-0.567404\pi\)
−0.951770 + 0.306814i \(0.900737\pi\)
\(488\) 2.47593 + 1.42948i 0.112080 + 0.0647094i
\(489\) −15.8700 + 15.8700i −0.717665 + 0.717665i
\(490\) −0.526130 19.1298i −0.0237681 0.864197i
\(491\) −14.1073 + 8.14488i −0.636656 + 0.367573i −0.783325 0.621612i \(-0.786478\pi\)
0.146669 + 0.989186i \(0.453145\pi\)
\(492\) 0.0298847 + 0.0517618i 0.00134731 + 0.00233360i
\(493\) 16.4588 16.4588i 0.741268 0.741268i
\(494\) 4.27392 + 6.50452i 0.192293 + 0.292652i
\(495\) 12.5198 + 2.98831i 0.562723 + 0.134315i
\(496\) 3.86846 + 1.03655i 0.173699 + 0.0465426i
\(497\) 48.7683 + 13.0674i 2.18756 + 0.586155i
\(498\) −3.10907 11.6032i −0.139321 0.519953i
\(499\) 7.03621 + 7.03621i 0.314984 + 0.314984i 0.846837 0.531853i \(-0.178504\pi\)
−0.531853 + 0.846837i \(0.678504\pi\)
\(500\) −4.77337 + 10.1101i −0.213472 + 0.452139i
\(501\) −13.8453 + 3.70984i −0.618563 + 0.165743i
\(502\) 26.5391 1.18450
\(503\) 29.7889 7.98192i 1.32822 0.355896i 0.476171 0.879353i \(-0.342024\pi\)
0.852052 + 0.523456i \(0.175358\pi\)
\(504\) 1.97220 + 3.41596i 0.0878489 + 0.152159i
\(505\) −12.8714 6.96666i −0.572768 0.310012i
\(506\) 24.9233i 1.10798i
\(507\) −8.07218 + 10.1902i −0.358498 + 0.452562i
\(508\) −9.05127 9.05127i −0.401585 0.401585i
\(509\) −0.529872 + 1.97751i −0.0234862 + 0.0876516i −0.976674 0.214727i \(-0.931114\pi\)
0.953188 + 0.302378i \(0.0977806\pi\)
\(510\) 4.25269 7.85713i 0.188312 0.347920i
\(511\) 15.7071 + 9.06849i 0.694841 + 0.401167i
\(512\) 1.00000i 0.0441942i
\(513\) 1.07931 1.86942i 0.0476526 0.0825368i
\(514\) −5.18509 19.3510i −0.228704 0.853536i
\(515\) 17.7230 + 4.23025i 0.780969 + 0.186407i
\(516\) 5.33895 9.24733i 0.235034 0.407091i
\(517\) 20.0467 74.8154i 0.881654 3.29038i
\(518\) −12.4678 + 7.19831i −0.547805 + 0.316276i
\(519\) −8.93009 −0.391988
\(520\) −2.74199 7.58165i −0.120244 0.332477i
\(521\) 19.0196 0.833265 0.416632 0.909075i \(-0.363210\pi\)
0.416632 + 0.909075i \(0.363210\pi\)
\(522\) −5.04514 + 2.91282i −0.220820 + 0.127490i
\(523\) 7.13496 26.6281i 0.311990 1.16436i −0.614769 0.788707i \(-0.710751\pi\)
0.926759 0.375656i \(-0.122583\pi\)
\(524\) 6.99500 12.1157i 0.305578 0.529277i
\(525\) 18.7407 6.14380i 0.817909 0.268137i
\(526\) 4.06256 + 15.1617i 0.177136 + 0.661081i
\(527\) −8.00084 + 13.8579i −0.348522 + 0.603658i
\(528\) 5.75631i 0.250511i
\(529\) −3.68352 2.12668i −0.160153 0.0924644i
\(530\) 3.74438 + 12.5800i 0.162646 + 0.546440i
\(531\) 0.509008 1.89964i 0.0220890 0.0824374i
\(532\) 6.02064 + 6.02064i 0.261028 + 0.261028i
\(533\) −0.0968031 + 0.192536i −0.00419301 + 0.00833966i
\(534\) 8.28777i 0.358647i
\(535\) −7.95660 26.7318i −0.343994 1.15572i
\(536\) 1.36242 + 2.35978i 0.0588475 + 0.101927i
\(537\) −7.91497 + 2.12081i −0.341556 + 0.0915197i
\(538\) −8.52839 −0.367685
\(539\) 47.5858 12.7506i 2.04967 0.549206i
\(540\) −1.53707 + 1.62401i −0.0661450 + 0.0698863i
\(541\) −13.9866 13.9866i −0.601331 0.601331i 0.339335 0.940666i \(-0.389798\pi\)
−0.940666 + 0.339335i \(0.889798\pi\)
\(542\) 5.38936 + 20.1134i 0.231493 + 0.863943i
\(543\) −14.3238 3.83806i −0.614694 0.164707i
\(544\) −3.85935 1.03411i −0.165468 0.0443371i
\(545\) 0.791349 3.31543i 0.0338977 0.142017i
\(546\) −6.38840 + 12.7062i −0.273398 + 0.543774i
\(547\) 11.8022 11.8022i 0.504624 0.504624i −0.408247 0.912871i \(-0.633860\pi\)
0.912871 + 0.408247i \(0.133860\pi\)
\(548\) 4.16740 + 7.21815i 0.178023 + 0.308344i
\(549\) 2.47593 1.42948i 0.105670 0.0610086i
\(550\) −28.1682 5.90988i −1.20110 0.251998i
\(551\) −8.89209 + 8.89209i −0.378816 + 0.378816i
\(552\) 3.74966 + 2.16487i 0.159596 + 0.0921430i
\(553\) −8.53830 4.92959i −0.363086 0.209628i
\(554\) 19.6576 19.6576i 0.835171 0.835171i
\(555\) −5.92745 5.61013i −0.251606 0.238137i
\(556\) −1.77925 + 1.02725i −0.0754572 + 0.0435652i
\(557\) 4.03120 + 6.98225i 0.170807 + 0.295847i 0.938702 0.344729i \(-0.112029\pi\)
−0.767895 + 0.640576i \(0.778696\pi\)
\(558\) 2.83191 2.83191i 0.119884 0.119884i
\(559\) 38.4356 2.22137i 1.62565 0.0939539i
\(560\) −4.61831 7.51418i −0.195159 0.317532i
\(561\) 22.2156 + 5.95266i 0.937944 + 0.251321i
\(562\) 3.88997 + 1.04231i 0.164089 + 0.0439674i
\(563\) 5.99845 + 22.3865i 0.252804 + 0.943479i 0.969299 + 0.245886i \(0.0790788\pi\)
−0.716494 + 0.697593i \(0.754254\pi\)
\(564\) 9.51456 + 9.51456i 0.400635 + 0.400635i
\(565\) −13.7402 13.0047i −0.578056 0.547110i
\(566\) −27.4548 + 7.35650i −1.15401 + 0.309217i
\(567\) 3.94441 0.165650
\(568\) 12.3639 3.31290i 0.518779 0.139006i
\(569\) −3.87731 6.71570i −0.162545 0.281537i 0.773236 0.634119i \(-0.218637\pi\)
−0.935781 + 0.352582i \(0.885304\pi\)
\(570\) −2.29757 + 4.24492i −0.0962347 + 0.177800i
\(571\) 6.07789i 0.254352i −0.991880 0.127176i \(-0.959409\pi\)
0.991880 0.127176i \(-0.0405913\pi\)
\(572\) 17.3454 11.3971i 0.725246 0.476537i
\(573\) −10.0301 10.0301i −0.419012 0.419012i
\(574\) −0.0610179 + 0.227722i −0.00254684 + 0.00950492i
\(575\) 14.4434 16.1262i 0.602331 0.672509i
\(576\) 0.866025 + 0.500000i 0.0360844 + 0.0208333i
\(577\) 10.5553i 0.439421i −0.975565 0.219711i \(-0.929489\pi\)
0.975565 0.219711i \(-0.0705113\pi\)
\(578\) −0.518006 + 0.897213i −0.0215462 + 0.0373191i
\(579\) −4.92453 18.3786i −0.204656 0.763788i
\(580\) 11.0980 6.82094i 0.460817 0.283224i
\(581\) 23.6912 41.0343i 0.982875 1.70239i
\(582\) 2.46886 9.21393i 0.102338 0.381930i
\(583\) −29.2619 + 16.8944i −1.21190 + 0.699693i
\(584\) 4.59815 0.190273
\(585\) −7.93690 1.41619i −0.328150 0.0585522i
\(586\) 3.12848 0.129236
\(587\) −19.3484 + 11.1708i −0.798596 + 0.461070i −0.842980 0.537945i \(-0.819201\pi\)
0.0443840 + 0.999015i \(0.485867\pi\)
\(588\) −2.21506 + 8.26673i −0.0913476 + 0.340914i
\(589\) 4.32256 7.48689i 0.178108 0.308492i
\(590\) −1.02096 + 4.27741i −0.0420324 + 0.176098i
\(591\) 0.751622 + 2.80509i 0.0309176 + 0.115386i
\(592\) −1.82494 + 3.16089i −0.0750046 + 0.129912i
\(593\) 44.2328i 1.81642i −0.418510 0.908212i \(-0.637447\pi\)
0.418510 0.908212i \(-0.362553\pi\)
\(594\) −4.98511 2.87815i −0.204541 0.118092i
\(595\) 33.7757 10.0532i 1.38467 0.412141i
\(596\) 4.59720 17.1570i 0.188309 0.702777i
\(597\) −6.43435 6.43435i −0.263340 0.263340i
\(598\) 0.900734 + 15.5851i 0.0368337 + 0.637322i
\(599\) 14.7411i 0.602305i 0.953576 + 0.301153i \(0.0973714\pi\)
−0.953576 + 0.301153i \(0.902629\pi\)
\(600\) 3.33586 3.72452i 0.136186 0.152053i
\(601\) 9.96571 + 17.2611i 0.406510 + 0.704096i 0.994496 0.104775i \(-0.0334123\pi\)
−0.587986 + 0.808871i \(0.700079\pi\)
\(602\) 40.6829 10.9009i 1.65811 0.444289i
\(603\) 2.72484 0.110964
\(604\) −14.1357 + 3.78766i −0.575175 + 0.154118i
\(605\) −1.36077 49.4768i −0.0553231 2.01152i
\(606\) 4.62825 + 4.62825i 0.188010 + 0.188010i
\(607\) 10.3477 + 38.6181i 0.420000 + 1.56746i 0.774605 + 0.632446i \(0.217949\pi\)
−0.354604 + 0.935016i \(0.615384\pi\)
\(608\) 2.08506 + 0.558691i 0.0845605 + 0.0226579i
\(609\) −22.1957 5.94731i −0.899414 0.240997i
\(610\) −5.44637 + 3.34741i −0.220517 + 0.135533i
\(611\) −9.83182 + 47.5082i −0.397753 + 1.92198i
\(612\) −2.82524 + 2.82524i −0.114204 + 0.114204i
\(613\) −14.5815 25.2559i −0.588940 1.02007i −0.994372 0.105949i \(-0.966212\pi\)
0.405431 0.914126i \(-0.367121\pi\)
\(614\) 23.7981 13.7398i 0.960412 0.554494i
\(615\) −0.133598 + 0.00367437i −0.00538719 + 0.000148165i
\(616\) 16.0550 16.0550i 0.646875 0.646875i
\(617\) 14.5620 + 8.40738i 0.586244 + 0.338468i 0.763611 0.645677i \(-0.223425\pi\)
−0.177367 + 0.984145i \(0.556758\pi\)
\(618\) −7.05691 4.07431i −0.283871 0.163893i
\(619\) 2.38716 2.38716i 0.0959482 0.0959482i −0.657503 0.753452i \(-0.728387\pi\)
0.753452 + 0.657503i \(0.228387\pi\)
\(620\) −6.15586 + 6.50405i −0.247225 + 0.261209i
\(621\) 3.74966 2.16487i 0.150469 0.0868732i
\(622\) −4.45076 7.70895i −0.178459 0.309101i
\(623\) −23.1156 + 23.1156i −0.926105 + 0.926105i
\(624\) 0.208034 + 3.59954i 0.00832804 + 0.144097i
\(625\) −14.8009 20.1478i −0.592037 0.805911i
\(626\) 13.9087 + 3.72683i 0.555904 + 0.148954i
\(627\) −12.0023 3.21600i −0.479324 0.128435i
\(628\) −4.55336 16.9934i −0.181699 0.678109i
\(629\) −10.3118 10.3118i −0.411158 0.411158i
\(630\) −8.81663 + 0.242485i −0.351263 + 0.00966084i
\(631\) 14.9043 3.99359i 0.593331 0.158982i 0.0503556 0.998731i \(-0.483965\pi\)
0.542975 + 0.839749i \(0.317298\pi\)
\(632\) −2.49954 −0.0994262
\(633\) −1.64828 + 0.441657i −0.0655134 + 0.0175543i
\(634\) 8.29467 + 14.3668i 0.329423 + 0.570578i
\(635\) 27.4332 8.16539i 1.08865 0.324033i
\(636\) 5.86986i 0.232755i
\(637\) −29.2956 + 9.69298i −1.16074 + 0.384050i
\(638\) 23.7122 + 23.7122i 0.938775 + 0.938775i
\(639\) 3.31290 12.3639i 0.131056 0.489109i
\(640\) −1.96650 1.06437i −0.0777326 0.0420730i
\(641\) −14.7904 8.53924i −0.584185 0.337280i 0.178610 0.983920i \(-0.442840\pi\)
−0.762795 + 0.646640i \(0.776173\pi\)
\(642\) 12.4731i 0.492275i
\(643\) −1.15712 + 2.00420i −0.0456325 + 0.0790379i −0.887940 0.459960i \(-0.847864\pi\)
0.842307 + 0.538998i \(0.181197\pi\)
\(644\) 4.42018 + 16.4963i 0.174179 + 0.650046i
\(645\) 12.5022 + 20.3416i 0.492275 + 0.800951i
\(646\) −4.31237 + 7.46925i −0.169668 + 0.293874i
\(647\) 5.79616 21.6316i 0.227871 0.850425i −0.753363 0.657604i \(-0.771570\pi\)
0.981234 0.192820i \(-0.0617635\pi\)
\(648\) 0.866025 0.500000i 0.0340207 0.0196419i
\(649\) −11.3207 −0.444375
\(650\) 17.8278 + 2.67757i 0.699264 + 0.105023i
\(651\) 15.7971 0.619136
\(652\) −19.4367 + 11.2218i −0.761199 + 0.439479i
\(653\) 0.855924 3.19435i 0.0334949 0.125005i −0.947154 0.320779i \(-0.896055\pi\)
0.980649 + 0.195774i \(0.0627220\pi\)
\(654\) −0.762177 + 1.32013i −0.0298035 + 0.0516212i
\(655\) 16.3802 + 26.6513i 0.640028 + 1.04135i
\(656\) 0.0154695 + 0.0577328i 0.000603981 + 0.00225409i
\(657\) 2.29908 3.98212i 0.0896955 0.155357i
\(658\) 53.0744i 2.06906i
\(659\) 7.45456 + 4.30389i 0.290388 + 0.167656i 0.638117 0.769939i \(-0.279714\pi\)
−0.347729 + 0.937595i \(0.613047\pi\)
\(660\) 11.3198 + 6.12685i 0.440621 + 0.238487i
\(661\) 11.1441 41.5904i 0.433456 1.61768i −0.311280 0.950318i \(-0.600758\pi\)
0.744735 0.667360i \(-0.232576\pi\)
\(662\) −4.50497 4.50497i −0.175091 0.175091i
\(663\) −14.1070 2.91945i −0.547872 0.113382i
\(664\) 12.0125i 0.466177i
\(665\) −18.2478 + 5.43137i −0.707618 + 0.210620i
\(666\) 1.82494 + 3.16089i 0.0707150 + 0.122482i
\(667\) −24.3640 + 6.52831i −0.943377 + 0.252777i
\(668\) −14.3337 −0.554589
\(669\) 25.2026 6.75302i 0.974389 0.261087i
\(670\) −6.09061 + 0.167511i −0.235301 + 0.00647152i
\(671\) −11.6369 11.6369i −0.449237 0.449237i
\(672\) 1.02089 + 3.81000i 0.0393816 + 0.146974i
\(673\) 16.2251 + 4.34750i 0.625431 + 0.167584i 0.557596 0.830113i \(-0.311724\pi\)
0.0678355 + 0.997697i \(0.478391\pi\)
\(674\) −21.6127 5.79110i −0.832490 0.223065i
\(675\) −1.55760 4.75120i −0.0599520 0.182874i
\(676\) −10.4345 + 7.75373i −0.401329 + 0.298220i
\(677\) −17.3272 + 17.3272i −0.665938 + 0.665938i −0.956773 0.290835i \(-0.906067\pi\)
0.290835 + 0.956773i \(0.406067\pi\)
\(678\) 4.23034 + 7.32716i 0.162465 + 0.281398i
\(679\) 32.5847 18.8128i 1.25048 0.721968i
\(680\) 6.14136 6.48873i 0.235510 0.248831i
\(681\) 3.25761 3.25761i 0.124832 0.124832i
\(682\) −19.9650 11.5268i −0.764499 0.441384i
\(683\) 14.1912 + 8.19327i 0.543010 + 0.313507i 0.746298 0.665612i \(-0.231829\pi\)
−0.203288 + 0.979119i \(0.565163\pi\)
\(684\) 1.52637 1.52637i 0.0583623 0.0583623i
\(685\) −18.6301 + 0.512388i −0.711821 + 0.0195773i
\(686\) −5.32324 + 3.07337i −0.203242 + 0.117342i
\(687\) 2.64942 + 4.58894i 0.101082 + 0.175079i
\(688\) 7.55042 7.55042i 0.287857 0.287857i
\(689\) 17.6875 11.6220i 0.673842 0.442761i
\(690\) −8.24825 + 5.06948i −0.314005 + 0.192992i
\(691\) 26.2776 + 7.04106i 0.999647 + 0.267855i 0.721298 0.692625i \(-0.243546\pi\)
0.278350 + 0.960480i \(0.410213\pi\)
\(692\) −8.62581 2.31128i −0.327904 0.0878616i
\(693\) −5.87654 21.9315i −0.223231 0.833111i
\(694\) −18.5538 18.5538i −0.704291 0.704291i
\(695\) −0.126302 4.59228i −0.00479092 0.174195i
\(696\) −5.62713 + 1.50778i −0.213296 + 0.0571524i
\(697\) −0.238808 −0.00904552
\(698\) 21.6505 5.80122i 0.819482 0.219579i
\(699\) 5.94920 + 10.3043i 0.225019 + 0.389745i
\(700\) 19.6922 1.08402i 0.744296 0.0409720i
\(701\) 24.9044i 0.940628i −0.882499 0.470314i \(-0.844141\pi\)
0.882499 0.470314i \(-0.155859\pi\)
\(702\) 3.22131 + 1.61961i 0.121581 + 0.0611282i
\(703\) 5.57108 + 5.57108i 0.210117 + 0.210117i
\(704\) 1.48984 5.56016i 0.0561505 0.209557i
\(705\) −28.8374 + 8.58333i −1.08608 + 0.323267i
\(706\) 11.9711 + 6.91152i 0.450538 + 0.260118i
\(707\) 25.8174i 0.970964i
\(708\) 0.983327 1.70317i 0.0369557 0.0640091i
\(709\) 9.12847 + 34.0679i 0.342827 + 1.27945i 0.895130 + 0.445804i \(0.147082\pi\)
−0.552303 + 0.833643i \(0.686251\pi\)
\(710\) −6.64499 + 27.8398i −0.249382 + 1.04481i
\(711\) −1.24977 + 2.16466i −0.0468699 + 0.0811811i
\(712\) −2.14503 + 8.00537i −0.0803885 + 0.300014i
\(713\) 15.0171 8.67015i 0.562396 0.324700i
\(714\) −15.7599 −0.589798
\(715\) 3.95048 + 46.2404i 0.147740 + 1.72929i
\(716\) −8.19418 −0.306231
\(717\) −5.98030 + 3.45273i −0.223338 + 0.128944i
\(718\) −1.67542 + 6.25274i −0.0625260 + 0.233350i
\(719\) 21.1479 36.6293i 0.788685 1.36604i −0.138088 0.990420i \(-0.544096\pi\)
0.926773 0.375622i \(-0.122571\pi\)
\(720\) −1.90502 + 1.17085i −0.0709960 + 0.0436350i
\(721\) −8.31882 31.0463i −0.309809 1.15622i
\(722\) −7.17019 + 12.4191i −0.266847 + 0.462192i
\(723\) 8.30484i 0.308860i
\(724\) −12.8424 7.41456i −0.477284 0.275560i
\(725\) 1.60102 + 29.0841i 0.0594604 + 1.08016i
\(726\) −5.72897 + 21.3808i −0.212622 + 0.793517i
\(727\) 14.2431 + 14.2431i 0.528248 + 0.528248i 0.920050 0.391802i \(-0.128148\pi\)
−0.391802 + 0.920050i \(0.628148\pi\)
\(728\) −9.45932 + 10.6198i −0.350586 + 0.393595i
\(729\) 1.00000i 0.0370370i
\(730\) −4.89415 + 9.04226i −0.181140 + 0.334669i
\(731\) 21.3318 + 36.9477i 0.788983 + 1.36656i
\(732\) 2.76154 0.739952i 0.102069 0.0273494i
\(733\) 15.0682 0.556556 0.278278 0.960501i \(-0.410236\pi\)
0.278278 + 0.960501i \(0.410236\pi\)
\(734\) −16.0270 + 4.29441i −0.591566 + 0.158510i
\(735\) −13.8988 13.1548i −0.512667 0.485222i
\(736\) 3.06159 + 3.06159i 0.112852 + 0.112852i
\(737\) −4.05957 15.1505i −0.149536 0.558077i
\(738\) 0.0577328 + 0.0154695i 0.00212517 + 0.000569439i
\(739\) −22.6190 6.06075i −0.832054 0.222948i −0.182445 0.983216i \(-0.558401\pi\)
−0.649610 + 0.760268i \(0.725068\pi\)
\(740\) −4.27347 6.95311i −0.157096 0.255601i
\(741\) 7.62151 + 1.57727i 0.279983 + 0.0579424i
\(742\) 16.3717 16.3717i 0.601025 0.601025i
\(743\) −13.5979 23.5522i −0.498857 0.864045i 0.501142 0.865365i \(-0.332913\pi\)
−0.999999 + 0.00131959i \(0.999580\pi\)
\(744\) 3.46837 2.00246i 0.127157 0.0734139i
\(745\) 28.8460 + 27.3018i 1.05684 + 1.00026i
\(746\) −6.43407 + 6.43407i −0.235568 + 0.235568i
\(747\) −10.4032 6.00627i −0.380632 0.219758i
\(748\) 19.9180 + 11.4996i 0.728273 + 0.420469i
\(749\) −34.7890 + 34.7890i −1.27116 + 1.27116i
\(750\) 3.77366 + 10.5242i 0.137795 + 0.384291i
\(751\) 19.3349 11.1630i 0.705540 0.407344i −0.103867 0.994591i \(-0.533122\pi\)
0.809407 + 0.587247i \(0.199788\pi\)
\(752\) 6.72781 + 11.6529i 0.245338 + 0.424938i
\(753\) 18.7660 18.7660i 0.683869 0.683869i
\(754\) −15.6847 13.9708i −0.571204 0.508786i
\(755\) 7.59725 31.8294i 0.276492 1.15839i
\(756\) 3.81000 + 1.02089i 0.138569 + 0.0371293i
\(757\) 46.1673 + 12.3705i 1.67798 + 0.449613i 0.967245 0.253846i \(-0.0816956\pi\)
0.710736 + 0.703459i \(0.248362\pi\)
\(758\) −2.63393 9.82994i −0.0956685 0.357040i
\(759\) −17.6234 17.6234i −0.639690 0.639690i
\(760\) −3.31795 + 3.50562i −0.120355 + 0.127162i
\(761\) −32.4685 + 8.69990i −1.17698 + 0.315371i −0.793728 0.608272i \(-0.791863\pi\)
−0.383253 + 0.923643i \(0.625196\pi\)
\(762\) −12.8004 −0.463711
\(763\) −5.80780 + 1.55619i −0.210256 + 0.0563380i
\(764\) −7.09233 12.2843i −0.256592 0.444430i
\(765\) −2.54872 8.56294i −0.0921493 0.309594i
\(766\) 22.9469i 0.829105i
\(767\) 7.07906 0.409131i 0.255610 0.0147729i
\(768\) 0.707107 + 0.707107i 0.0255155 + 0.0255155i
\(769\) −0.495133 + 1.84786i −0.0178550 + 0.0666356i −0.974279 0.225347i \(-0.927648\pi\)
0.956424 + 0.291983i \(0.0943150\pi\)