Properties

Label 150.2.h.b.79.3
Level 150
Weight 2
Character 150.79
Analytic conductor 1.198
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.h (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 79.3
Root \(2.32349 - 0.309017i\)
Character \(\chi\) = 150.79
Dual form 150.2.h.b.19.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 + 0.309017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-1.47959 + 1.67655i) q^{5} +(-0.809017 + 0.587785i) q^{6} +3.23143i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})\) \(q+(0.951057 + 0.309017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-1.47959 + 1.67655i) q^{5} +(-0.809017 + 0.587785i) q^{6} +3.23143i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(-1.92526 + 1.13727i) q^{10} +(1.63788 - 5.04087i) q^{11} +(-0.951057 + 0.309017i) q^{12} +(5.61543 - 1.82456i) q^{13} +(-0.998566 + 3.07327i) q^{14} +(-0.486675 - 2.18246i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.602300 - 0.828995i) q^{17} -1.00000i q^{18} +(-3.64639 + 2.64926i) q^{19} +(-2.18246 + 0.486675i) q^{20} +(-2.61428 - 1.89939i) q^{21} +(3.11543 - 4.28802i) q^{22} +(-1.83390 - 0.595870i) q^{23} -1.00000 q^{24} +(-0.621629 - 4.96121i) q^{25} +5.90441 q^{26} +(0.951057 + 0.309017i) q^{27} +(-1.89939 + 2.61428i) q^{28} +(-0.210961 - 0.153272i) q^{29} +(0.211563 - 2.22604i) q^{30} +(1.81386 - 1.31784i) q^{31} +1.00000i q^{32} +(3.11543 + 4.28802i) q^{33} +(-0.316648 - 0.974542i) q^{34} +(-5.41765 - 4.78119i) q^{35} +(0.309017 - 0.951057i) q^{36} +(9.08596 - 2.95221i) q^{37} +(-4.28659 + 1.39280i) q^{38} +(-1.82456 + 5.61543i) q^{39} +(-2.22604 - 0.211563i) q^{40} +(-3.07816 - 9.47359i) q^{41} +(-1.89939 - 2.61428i) q^{42} +5.30164i q^{43} +(4.28802 - 3.11543i) q^{44} +(2.05171 + 0.889091i) q^{45} +(-1.56001 - 1.13341i) q^{46} +(-6.18830 + 8.51747i) q^{47} +(-0.951057 - 0.309017i) q^{48} -3.44213 q^{49} +(0.941893 - 4.91048i) q^{50} +1.02469 q^{51} +(5.61543 + 1.82456i) q^{52} +(1.35841 - 1.86970i) q^{53} +(0.809017 + 0.587785i) q^{54} +(6.02788 + 10.2044i) q^{55} +(-2.61428 + 1.89939i) q^{56} -4.50718i q^{57} +(-0.153272 - 0.210961i) q^{58} +(2.00615 + 6.17428i) q^{59} +(0.889091 - 2.05171i) q^{60} +(-1.21905 + 3.75186i) q^{61} +(2.13232 - 0.692831i) q^{62} +(3.07327 - 0.998566i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(-5.24956 + 12.1141i) q^{65} +(1.63788 + 5.04087i) q^{66} +(-5.46176 - 7.51747i) q^{67} -1.02469i q^{68} +(1.56001 - 1.13341i) q^{69} +(-3.67502 - 6.22132i) q^{70} +(-6.90715 - 5.01834i) q^{71} +(0.587785 - 0.809017i) q^{72} +(-3.76068 - 1.22192i) q^{73} +9.55354 q^{74} +(4.37909 + 2.41322i) q^{75} -4.50718 q^{76} +(16.2892 + 5.29269i) q^{77} +(-3.47053 + 4.77677i) q^{78} +(-10.8177 - 7.85950i) q^{79} +(-2.05171 - 0.889091i) q^{80} +(-0.809017 + 0.587785i) q^{81} -9.96112i q^{82} +(4.40074 + 6.05709i) q^{83} +(-0.998566 - 3.07327i) q^{84} +(2.28101 + 0.216787i) q^{85} +(-1.63830 + 5.04216i) q^{86} +(0.247999 - 0.0805798i) q^{87} +(5.04087 - 1.63788i) q^{88} +(0.226687 - 0.697671i) q^{89} +(1.67655 + 1.47959i) q^{90} +(5.89595 + 18.1459i) q^{91} +(-1.13341 - 1.56001i) q^{92} +2.24205i q^{93} +(-8.51747 + 6.18830i) q^{94} +(0.953552 - 10.0332i) q^{95} +(-0.809017 - 0.587785i) q^{96} +(-10.1432 + 13.9610i) q^{97} +(-3.27366 - 1.06368i) q^{98} -5.30029 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + O(q^{10}) \) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + 2q^{10} + 2q^{11} + 20q^{13} + 2q^{14} - 2q^{15} - 4q^{16} - 30q^{17} - 4q^{20} - 2q^{21} - 20q^{22} - 10q^{23} - 16q^{24} + 24q^{25} + 4q^{26} - 10q^{29} - 6q^{30} - 18q^{31} - 20q^{33} + 12q^{34} - 34q^{35} - 4q^{36} + 20q^{37} + 10q^{38} - 4q^{39} - 2q^{40} + 22q^{41} + 8q^{44} - 4q^{45} - 6q^{46} - 50q^{47} - 52q^{49} + 12q^{50} + 28q^{51} + 20q^{52} + 30q^{53} + 4q^{54} + 18q^{55} - 2q^{56} - 30q^{58} + 20q^{59} + 2q^{60} + 12q^{61} + 50q^{62} + 10q^{63} + 4q^{64} - 8q^{65} + 2q^{66} - 50q^{67} + 6q^{69} - 12q^{70} - 28q^{71} + 20q^{73} + 12q^{74} + 28q^{75} + 20q^{76} + 100q^{77} - 20q^{79} + 4q^{80} - 4q^{81} - 30q^{83} + 2q^{84} - 4q^{85} - 6q^{86} + 10q^{87} + 70q^{89} + 8q^{90} + 12q^{91} - 30q^{92} + 2q^{94} - 30q^{95} - 4q^{96} - 10q^{97} + 60q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 + 0.309017i 0.672499 + 0.218508i
\(3\) −0.587785 + 0.809017i −0.339358 + 0.467086i
\(4\) 0.809017 + 0.587785i 0.404508 + 0.293893i
\(5\) −1.47959 + 1.67655i −0.661693 + 0.749775i
\(6\) −0.809017 + 0.587785i −0.330280 + 0.239962i
\(7\) 3.23143i 1.22136i 0.791876 + 0.610682i \(0.209105\pi\)
−0.791876 + 0.610682i \(0.790895\pi\)
\(8\) 0.587785 + 0.809017i 0.207813 + 0.286031i
\(9\) −0.309017 0.951057i −0.103006 0.317019i
\(10\) −1.92526 + 1.13727i −0.608819 + 0.359638i
\(11\) 1.63788 5.04087i 0.493839 1.51988i −0.324920 0.945742i \(-0.605337\pi\)
0.818758 0.574138i \(-0.194663\pi\)
\(12\) −0.951057 + 0.309017i −0.274546 + 0.0892055i
\(13\) 5.61543 1.82456i 1.55744 0.506043i 0.601318 0.799010i \(-0.294643\pi\)
0.956122 + 0.292967i \(0.0946427\pi\)
\(14\) −0.998566 + 3.07327i −0.266878 + 0.821366i
\(15\) −0.486675 2.18246i −0.125659 0.563510i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −0.602300 0.828995i −0.146079 0.201061i 0.729707 0.683760i \(-0.239656\pi\)
−0.875786 + 0.482699i \(0.839656\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −3.64639 + 2.64926i −0.836539 + 0.607781i −0.921402 0.388611i \(-0.872955\pi\)
0.0848627 + 0.996393i \(0.472955\pi\)
\(20\) −2.18246 + 0.486675i −0.488014 + 0.108824i
\(21\) −2.61428 1.89939i −0.570483 0.414480i
\(22\) 3.11543 4.28802i 0.664212 0.914209i
\(23\) −1.83390 0.595870i −0.382394 0.124247i 0.111511 0.993763i \(-0.464431\pi\)
−0.493905 + 0.869516i \(0.664431\pi\)
\(24\) −1.00000 −0.204124
\(25\) −0.621629 4.96121i −0.124326 0.992241i
\(26\) 5.90441 1.15795
\(27\) 0.951057 + 0.309017i 0.183031 + 0.0594703i
\(28\) −1.89939 + 2.61428i −0.358950 + 0.494053i
\(29\) −0.210961 0.153272i −0.0391744 0.0284619i 0.568026 0.823011i \(-0.307707\pi\)
−0.607200 + 0.794549i \(0.707707\pi\)
\(30\) 0.211563 2.22604i 0.0386259 0.406417i
\(31\) 1.81386 1.31784i 0.325778 0.236692i −0.412859 0.910795i \(-0.635470\pi\)
0.738637 + 0.674103i \(0.235470\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 3.11543 + 4.28802i 0.542327 + 0.746449i
\(34\) −0.316648 0.974542i −0.0543046 0.167133i
\(35\) −5.41765 4.78119i −0.915749 0.808168i
\(36\) 0.309017 0.951057i 0.0515028 0.158509i
\(37\) 9.08596 2.95221i 1.49372 0.485340i 0.555542 0.831488i \(-0.312511\pi\)
0.938180 + 0.346149i \(0.112511\pi\)
\(38\) −4.28659 + 1.39280i −0.695376 + 0.225941i
\(39\) −1.82456 + 5.61543i −0.292164 + 0.899188i
\(40\) −2.22604 0.211563i −0.351967 0.0334510i
\(41\) −3.07816 9.47359i −0.480727 1.47953i −0.838075 0.545555i \(-0.816319\pi\)
0.357348 0.933971i \(-0.383681\pi\)
\(42\) −1.89939 2.61428i −0.293082 0.403392i
\(43\) 5.30164i 0.808492i 0.914650 + 0.404246i \(0.132466\pi\)
−0.914650 + 0.404246i \(0.867534\pi\)
\(44\) 4.28802 3.11543i 0.646444 0.469669i
\(45\) 2.05171 + 0.889091i 0.305851 + 0.132538i
\(46\) −1.56001 1.13341i −0.230010 0.167112i
\(47\) −6.18830 + 8.51747i −0.902657 + 1.24240i 0.0669561 + 0.997756i \(0.478671\pi\)
−0.969613 + 0.244644i \(0.921329\pi\)
\(48\) −0.951057 0.309017i −0.137273 0.0446028i
\(49\) −3.44213 −0.491732
\(50\) 0.941893 4.91048i 0.133204 0.694447i
\(51\) 1.02469 0.143486
\(52\) 5.61543 + 1.82456i 0.778720 + 0.253021i
\(53\) 1.35841 1.86970i 0.186593 0.256823i −0.705465 0.708745i \(-0.749262\pi\)
0.892057 + 0.451923i \(0.149262\pi\)
\(54\) 0.809017 + 0.587785i 0.110093 + 0.0799874i
\(55\) 6.02788 + 10.2044i 0.812799 + 1.37596i
\(56\) −2.61428 + 1.89939i −0.349348 + 0.253816i
\(57\) 4.50718i 0.596991i
\(58\) −0.153272 0.210961i −0.0201256 0.0277005i
\(59\) 2.00615 + 6.17428i 0.261178 + 0.803823i 0.992549 + 0.121844i \(0.0388807\pi\)
−0.731371 + 0.681979i \(0.761119\pi\)
\(60\) 0.889091 2.05171i 0.114781 0.264875i
\(61\) −1.21905 + 3.75186i −0.156084 + 0.480376i −0.998269 0.0588118i \(-0.981269\pi\)
0.842185 + 0.539188i \(0.181269\pi\)
\(62\) 2.13232 0.692831i 0.270804 0.0879897i
\(63\) 3.07327 0.998566i 0.387196 0.125808i
\(64\) −0.309017 + 0.951057i −0.0386271 + 0.118882i
\(65\) −5.24956 + 12.1141i −0.651128 + 1.50257i
\(66\) 1.63788 + 5.04087i 0.201609 + 0.620488i
\(67\) −5.46176 7.51747i −0.667260 0.918405i 0.332434 0.943126i \(-0.392130\pi\)
−0.999694 + 0.0247216i \(0.992130\pi\)
\(68\) 1.02469i 0.124262i
\(69\) 1.56001 1.13341i 0.187803 0.136447i
\(70\) −3.67502 6.22132i −0.439249 0.743590i
\(71\) −6.90715 5.01834i −0.819728 0.595567i 0.0969066 0.995293i \(-0.469105\pi\)
−0.916635 + 0.399726i \(0.869105\pi\)
\(72\) 0.587785 0.809017i 0.0692712 0.0953436i
\(73\) −3.76068 1.22192i −0.440155 0.143015i 0.0805522 0.996750i \(-0.474332\pi\)
−0.520707 + 0.853735i \(0.674332\pi\)
\(74\) 9.55354 1.11058
\(75\) 4.37909 + 2.41322i 0.505653 + 0.278654i
\(76\) −4.50718 −0.517010
\(77\) 16.2892 + 5.29269i 1.85633 + 0.603158i
\(78\) −3.47053 + 4.77677i −0.392960 + 0.540863i
\(79\) −10.8177 7.85950i −1.21708 0.884263i −0.221229 0.975222i \(-0.571007\pi\)
−0.995855 + 0.0909589i \(0.971007\pi\)
\(80\) −2.05171 0.889091i −0.229388 0.0994034i
\(81\) −0.809017 + 0.587785i −0.0898908 + 0.0653095i
\(82\) 9.96112i 1.10002i
\(83\) 4.40074 + 6.05709i 0.483044 + 0.664852i 0.979086 0.203446i \(-0.0652141\pi\)
−0.496043 + 0.868298i \(0.665214\pi\)
\(84\) −0.998566 3.07327i −0.108952 0.335321i
\(85\) 2.28101 + 0.216787i 0.247410 + 0.0235139i
\(86\) −1.63830 + 5.04216i −0.176662 + 0.543710i
\(87\) 0.247999 0.0805798i 0.0265883 0.00863906i
\(88\) 5.04087 1.63788i 0.537359 0.174598i
\(89\) 0.226687 0.697671i 0.0240288 0.0739529i −0.938323 0.345760i \(-0.887621\pi\)
0.962352 + 0.271807i \(0.0876212\pi\)
\(90\) 1.67655 + 1.47959i 0.176724 + 0.155962i
\(91\) 5.89595 + 18.1459i 0.618063 + 1.90220i
\(92\) −1.13341 1.56001i −0.118166 0.162642i
\(93\) 2.24205i 0.232490i
\(94\) −8.51747 + 6.18830i −0.878510 + 0.638275i
\(95\) 0.953552 10.0332i 0.0978324 1.02938i
\(96\) −0.809017 0.587785i −0.0825700 0.0599906i
\(97\) −10.1432 + 13.9610i −1.02989 + 1.41752i −0.124857 + 0.992175i \(0.539847\pi\)
−0.905031 + 0.425345i \(0.860153\pi\)
\(98\) −3.27366 1.06368i −0.330689 0.107447i
\(99\) −5.30029 −0.532699
\(100\) 2.41322 4.37909i 0.241322 0.437909i
\(101\) 11.8454 1.17866 0.589331 0.807892i \(-0.299391\pi\)
0.589331 + 0.807892i \(0.299391\pi\)
\(102\) 0.974542 + 0.316648i 0.0964940 + 0.0313528i
\(103\) 4.20316 5.78515i 0.414150 0.570028i −0.550075 0.835115i \(-0.685401\pi\)
0.964224 + 0.265087i \(0.0854008\pi\)
\(104\) 4.77677 + 3.47053i 0.468401 + 0.340313i
\(105\) 7.05247 1.57266i 0.688251 0.153475i
\(106\) 1.86970 1.35841i 0.181601 0.131941i
\(107\) 3.20058i 0.309412i 0.987961 + 0.154706i \(0.0494430\pi\)
−0.987961 + 0.154706i \(0.950557\pi\)
\(108\) 0.587785 + 0.809017i 0.0565597 + 0.0778477i
\(109\) −3.05789 9.41123i −0.292893 0.901432i −0.983921 0.178604i \(-0.942842\pi\)
0.691028 0.722828i \(-0.257158\pi\)
\(110\) 2.57952 + 11.5677i 0.245947 + 1.10294i
\(111\) −2.95221 + 9.08596i −0.280211 + 0.862401i
\(112\) −3.07327 + 0.998566i −0.290397 + 0.0943556i
\(113\) −4.03794 + 1.31201i −0.379858 + 0.123423i −0.492721 0.870187i \(-0.663998\pi\)
0.112863 + 0.993611i \(0.463998\pi\)
\(114\) 1.39280 4.28659i 0.130447 0.401476i
\(115\) 3.71242 2.19298i 0.346185 0.204496i
\(116\) −0.0805798 0.247999i −0.00748165 0.0230261i
\(117\) −3.47053 4.77677i −0.320850 0.441613i
\(118\) 6.49202i 0.597639i
\(119\) 2.67884 1.94629i 0.245569 0.178416i
\(120\) 1.47959 1.67655i 0.135067 0.153047i
\(121\) −13.8285 10.0470i −1.25714 0.913366i
\(122\) −2.31878 + 3.19152i −0.209932 + 0.288947i
\(123\) 9.47359 + 3.07816i 0.854205 + 0.277548i
\(124\) 2.24205 0.201342
\(125\) 9.23746 + 6.29836i 0.826224 + 0.563342i
\(126\) 3.23143 0.287878
\(127\) −8.79813 2.85868i −0.780708 0.253667i −0.108565 0.994089i \(-0.534626\pi\)
−0.672142 + 0.740422i \(0.734626\pi\)
\(128\) −0.587785 + 0.809017i −0.0519534 + 0.0715077i
\(129\) −4.28912 3.11623i −0.377636 0.274368i
\(130\) −8.73611 + 9.89903i −0.766207 + 0.868203i
\(131\) 3.93584 2.85956i 0.343876 0.249841i −0.402419 0.915455i \(-0.631831\pi\)
0.746296 + 0.665615i \(0.231831\pi\)
\(132\) 5.30029i 0.461331i
\(133\) −8.56088 11.7830i −0.742323 1.02172i
\(134\) −2.87142 8.83731i −0.248053 0.763428i
\(135\) −1.92526 + 1.13727i −0.165700 + 0.0978810i
\(136\) 0.316648 0.974542i 0.0271523 0.0835663i
\(137\) −5.72219 + 1.85925i −0.488879 + 0.158847i −0.543076 0.839684i \(-0.682740\pi\)
0.0541963 + 0.998530i \(0.482740\pi\)
\(138\) 1.83390 0.595870i 0.156112 0.0507238i
\(139\) 1.73890 5.35178i 0.147492 0.453932i −0.849831 0.527055i \(-0.823296\pi\)
0.997323 + 0.0731222i \(0.0232963\pi\)
\(140\) −1.57266 7.05247i −0.132914 0.596043i
\(141\) −3.25338 10.0129i −0.273984 0.843237i
\(142\) −5.01834 6.90715i −0.421130 0.579635i
\(143\) 31.2951i 2.61703i
\(144\) 0.809017 0.587785i 0.0674181 0.0489821i
\(145\) 0.569103 0.126906i 0.0472614 0.0105390i
\(146\) −3.19903 2.32423i −0.264754 0.192355i
\(147\) 2.02323 2.78474i 0.166873 0.229681i
\(148\) 9.08596 + 2.95221i 0.746861 + 0.242670i
\(149\) 11.6556 0.954863 0.477432 0.878669i \(-0.341568\pi\)
0.477432 + 0.878669i \(0.341568\pi\)
\(150\) 3.41903 + 3.64832i 0.279163 + 0.297884i
\(151\) 5.52354 0.449499 0.224750 0.974417i \(-0.427844\pi\)
0.224750 + 0.974417i \(0.427844\pi\)
\(152\) −4.28659 1.39280i −0.347688 0.112971i
\(153\) −0.602300 + 0.828995i −0.0486931 + 0.0670202i
\(154\) 13.8564 + 10.0673i 1.11658 + 0.811245i
\(155\) −0.474334 + 4.99089i −0.0380994 + 0.400878i
\(156\) −4.77677 + 3.47053i −0.382448 + 0.277864i
\(157\) 6.84307i 0.546136i −0.961995 0.273068i \(-0.911962\pi\)
0.961995 0.273068i \(-0.0880384\pi\)
\(158\) −7.85950 10.8177i −0.625268 0.860608i
\(159\) 0.714161 + 2.19796i 0.0566366 + 0.174310i
\(160\) −1.67655 1.47959i −0.132543 0.116972i
\(161\) 1.92551 5.92611i 0.151751 0.467043i
\(162\) −0.951057 + 0.309017i −0.0747221 + 0.0242787i
\(163\) −8.92773 + 2.90080i −0.699274 + 0.227208i −0.637014 0.770852i \(-0.719831\pi\)
−0.0622597 + 0.998060i \(0.519831\pi\)
\(164\) 3.07816 9.47359i 0.240364 0.739763i
\(165\) −11.7986 1.12134i −0.918522 0.0872964i
\(166\) 2.31360 + 7.12054i 0.179570 + 0.552661i
\(167\) −4.01388 5.52464i −0.310604 0.427509i 0.624966 0.780652i \(-0.285113\pi\)
−0.935569 + 0.353143i \(0.885113\pi\)
\(168\) 3.23143i 0.249310i
\(169\) 17.6868 12.8502i 1.36052 0.988478i
\(170\) 2.10238 + 0.911046i 0.161245 + 0.0698741i
\(171\) 3.64639 + 2.64926i 0.278846 + 0.202594i
\(172\) −3.11623 + 4.28912i −0.237610 + 0.327042i
\(173\) −17.9373 5.82820i −1.36375 0.443110i −0.466457 0.884544i \(-0.654470\pi\)
−0.897294 + 0.441434i \(0.854470\pi\)
\(174\) 0.260762 0.0197683
\(175\) 16.0318 2.00875i 1.21189 0.151847i
\(176\) 5.30029 0.399524
\(177\) −6.17428 2.00615i −0.464087 0.150791i
\(178\) 0.431184 0.593474i 0.0323186 0.0444828i
\(179\) 0.761557 + 0.553303i 0.0569214 + 0.0413558i 0.615882 0.787838i \(-0.288800\pi\)
−0.558961 + 0.829194i \(0.688800\pi\)
\(180\) 1.13727 + 1.92526i 0.0847674 + 0.143500i
\(181\) −11.4118 + 8.29114i −0.848231 + 0.616276i −0.924658 0.380800i \(-0.875649\pi\)
0.0764270 + 0.997075i \(0.475649\pi\)
\(182\) 19.0797i 1.41428i
\(183\) −2.31878 3.19152i −0.171409 0.235924i
\(184\) −0.595870 1.83390i −0.0439281 0.135197i
\(185\) −8.49397 + 19.6011i −0.624489 + 1.44110i
\(186\) −0.692831 + 2.13232i −0.0508009 + 0.156349i
\(187\) −5.16535 + 1.67832i −0.377728 + 0.122731i
\(188\) −10.0129 + 3.25338i −0.730265 + 0.237277i
\(189\) −0.998566 + 3.07327i −0.0726350 + 0.223548i
\(190\) 4.00730 9.24744i 0.290720 0.670880i
\(191\) 7.87125 + 24.2252i 0.569544 + 1.75288i 0.654049 + 0.756453i \(0.273069\pi\)
−0.0845047 + 0.996423i \(0.526931\pi\)
\(192\) −0.587785 0.809017i −0.0424197 0.0583858i
\(193\) 6.63439i 0.477554i 0.971074 + 0.238777i \(0.0767465\pi\)
−0.971074 + 0.238777i \(0.923254\pi\)
\(194\) −13.9610 + 10.1432i −1.00234 + 0.728241i
\(195\) −6.71493 11.3675i −0.480866 0.814044i
\(196\) −2.78474 2.02323i −0.198910 0.144517i
\(197\) −5.98232 + 8.23396i −0.426223 + 0.586645i −0.967081 0.254468i \(-0.918100\pi\)
0.540858 + 0.841114i \(0.318100\pi\)
\(198\) −5.04087 1.63788i −0.358239 0.116399i
\(199\) 2.52238 0.178807 0.0894035 0.995995i \(-0.471504\pi\)
0.0894035 + 0.995995i \(0.471504\pi\)
\(200\) 3.64832 3.41903i 0.257975 0.241762i
\(201\) 9.29210 0.655414
\(202\) 11.2656 + 3.66043i 0.792648 + 0.257547i
\(203\) 0.495287 0.681704i 0.0347623 0.0478463i
\(204\) 0.828995 + 0.602300i 0.0580412 + 0.0421694i
\(205\) 20.4373 + 8.85635i 1.42741 + 0.618554i
\(206\) 5.78515 4.20316i 0.403071 0.292848i
\(207\) 1.92827i 0.134024i
\(208\) 3.47053 + 4.77677i 0.240638 + 0.331209i
\(209\) 7.38222 + 22.7201i 0.510639 + 1.57158i
\(210\) 7.19328 + 0.683650i 0.496383 + 0.0471763i
\(211\) 4.87129 14.9923i 0.335353 1.03211i −0.631194 0.775625i \(-0.717435\pi\)
0.966548 0.256487i \(-0.0825650\pi\)
\(212\) 2.19796 0.714161i 0.150957 0.0490487i
\(213\) 8.11984 2.63830i 0.556362 0.180773i
\(214\) −0.989034 + 3.04393i −0.0676090 + 0.208079i
\(215\) −8.88846 7.84425i −0.606188 0.534973i
\(216\) 0.309017 + 0.951057i 0.0210259 + 0.0647112i
\(217\) 4.25852 + 5.86135i 0.289087 + 0.397894i
\(218\) 9.89555i 0.670211i
\(219\) 3.19903 2.32423i 0.216170 0.157057i
\(220\) −1.12134 + 11.7986i −0.0756009 + 0.795464i
\(221\) −4.89473 3.55623i −0.329255 0.239218i
\(222\) −5.61543 + 7.72898i −0.376883 + 0.518735i
\(223\) 8.84040 + 2.87242i 0.591997 + 0.192351i 0.589668 0.807646i \(-0.299259\pi\)
0.00232890 + 0.999997i \(0.499259\pi\)
\(224\) −3.23143 −0.215909
\(225\) −4.52629 + 2.12430i −0.301753 + 0.141620i
\(226\) −4.24575 −0.282423
\(227\) −3.46003 1.12423i −0.229650 0.0746178i 0.191931 0.981408i \(-0.438525\pi\)
−0.421582 + 0.906791i \(0.638525\pi\)
\(228\) 2.64926 3.64639i 0.175451 0.241488i
\(229\) 8.03500 + 5.83777i 0.530968 + 0.385771i 0.820720 0.571331i \(-0.193573\pi\)
−0.289752 + 0.957102i \(0.593573\pi\)
\(230\) 4.20839 0.938443i 0.277493 0.0618791i
\(231\) −13.8564 + 10.0673i −0.911686 + 0.662379i
\(232\) 0.260762i 0.0171198i
\(233\) 11.0441 + 15.2009i 0.723523 + 0.995844i 0.999399 + 0.0346507i \(0.0110319\pi\)
−0.275877 + 0.961193i \(0.588968\pi\)
\(234\) −1.82456 5.61543i −0.119275 0.367092i
\(235\) −5.12380 22.9773i −0.334240 1.49888i
\(236\) −2.00615 + 6.17428i −0.130589 + 0.401912i
\(237\) 12.7169 4.13198i 0.826054 0.268401i
\(238\) 3.14916 1.02322i 0.204130 0.0663258i
\(239\) 3.01349 9.27457i 0.194926 0.599922i −0.805051 0.593206i \(-0.797862\pi\)
0.999977 0.00671626i \(-0.00213787\pi\)
\(240\) 1.92526 1.13727i 0.124275 0.0734107i
\(241\) 5.84694 + 17.9950i 0.376634 + 1.15916i 0.942369 + 0.334574i \(0.108592\pi\)
−0.565735 + 0.824587i \(0.691408\pi\)
\(242\) −10.0470 13.8285i −0.645848 0.888933i
\(243\) 1.00000i 0.0641500i
\(244\) −3.19152 + 2.31878i −0.204316 + 0.148444i
\(245\) 5.09293 5.77089i 0.325376 0.368689i
\(246\) 8.05872 + 5.85500i 0.513805 + 0.373301i
\(247\) −15.6423 + 21.5298i −0.995296 + 1.36991i
\(248\) 2.13232 + 0.692831i 0.135402 + 0.0439948i
\(249\) −7.48698 −0.474468
\(250\) 6.83905 + 8.84463i 0.432539 + 0.559383i
\(251\) −1.98608 −0.125360 −0.0626801 0.998034i \(-0.519965\pi\)
−0.0626801 + 0.998034i \(0.519965\pi\)
\(252\) 3.07327 + 0.998566i 0.193598 + 0.0629038i
\(253\) −6.00740 + 8.26848i −0.377682 + 0.519835i
\(254\) −7.48413 5.43754i −0.469596 0.341182i
\(255\) −1.51613 + 1.71795i −0.0949435 + 0.107582i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 19.2797i 1.20263i −0.799010 0.601317i \(-0.794643\pi\)
0.799010 0.601317i \(-0.205357\pi\)
\(258\) −3.11623 4.28912i −0.194008 0.267029i
\(259\) 9.53984 + 29.3606i 0.592777 + 1.82438i
\(260\) −11.3675 + 6.71493i −0.704982 + 0.416443i
\(261\) −0.0805798 + 0.247999i −0.00498777 + 0.0153508i
\(262\) 4.62686 1.50336i 0.285848 0.0928778i
\(263\) 11.9164 3.87188i 0.734799 0.238751i 0.0823713 0.996602i \(-0.473751\pi\)
0.652428 + 0.757851i \(0.273751\pi\)
\(264\) −1.63788 + 5.04087i −0.100804 + 0.310244i
\(265\) 1.12474 + 5.04383i 0.0690923 + 0.309840i
\(266\) −4.50072 13.8518i −0.275957 0.849308i
\(267\) 0.431184 + 0.593474i 0.0263880 + 0.0363200i
\(268\) 9.29210i 0.567605i
\(269\) 10.9160 7.93096i 0.665562 0.483559i −0.202975 0.979184i \(-0.565061\pi\)
0.868537 + 0.495625i \(0.165061\pi\)
\(270\) −2.18246 + 0.486675i −0.132821 + 0.0296181i
\(271\) 21.6926 + 15.7606i 1.31773 + 0.957387i 0.999957 + 0.00922023i \(0.00293493\pi\)
0.317773 + 0.948167i \(0.397065\pi\)
\(272\) 0.602300 0.828995i 0.0365198 0.0502652i
\(273\) −18.1459 5.89595i −1.09824 0.356839i
\(274\) −6.01666 −0.363480
\(275\) −26.0270 4.99230i −1.56948 0.301047i
\(276\) 1.92827 0.116068
\(277\) 7.76751 + 2.52382i 0.466704 + 0.151641i 0.532923 0.846164i \(-0.321094\pi\)
−0.0662188 + 0.997805i \(0.521094\pi\)
\(278\) 3.30758 4.55250i 0.198376 0.273041i
\(279\) −1.81386 1.31784i −0.108593 0.0788972i
\(280\) 0.683650 7.19328i 0.0408559 0.429881i
\(281\) −25.3561 + 18.4223i −1.51262 + 1.09898i −0.547615 + 0.836730i \(0.684464\pi\)
−0.965000 + 0.262249i \(0.915536\pi\)
\(282\) 10.5282i 0.626943i
\(283\) −9.61049 13.2277i −0.571284 0.786306i 0.421422 0.906865i \(-0.361531\pi\)
−0.992706 + 0.120559i \(0.961531\pi\)
\(284\) −2.63830 8.11984i −0.156554 0.481824i
\(285\) 7.55651 + 6.66878i 0.447609 + 0.395025i
\(286\) 9.67071 29.7634i 0.571841 1.75995i
\(287\) 30.6132 9.94684i 1.80704 0.587143i
\(288\) 0.951057 0.309017i 0.0560415 0.0182090i
\(289\) 4.92882 15.1694i 0.289931 0.892315i
\(290\) 0.580465 + 0.0551675i 0.0340861 + 0.00323955i
\(291\) −5.33261 16.4121i −0.312603 0.962093i
\(292\) −2.32423 3.19903i −0.136015 0.187209i
\(293\) 28.1867i 1.64669i 0.567545 + 0.823343i \(0.307893\pi\)
−0.567545 + 0.823343i \(0.692107\pi\)
\(294\) 2.78474 2.02323i 0.162409 0.117997i
\(295\) −13.3198 5.77200i −0.775506 0.336059i
\(296\) 7.72898 + 5.61543i 0.449238 + 0.326390i
\(297\) 3.11543 4.28802i 0.180776 0.248816i
\(298\) 11.0851 + 3.60178i 0.642144 + 0.208645i
\(299\) −11.3853 −0.658431
\(300\) 2.12430 + 4.52629i 0.122647 + 0.261326i
\(301\) −17.1319 −0.987464
\(302\) 5.25320 + 1.70687i 0.302288 + 0.0982192i
\(303\) −6.96255 + 9.58313i −0.399988 + 0.550537i
\(304\) −3.64639 2.64926i −0.209135 0.151945i
\(305\) −4.48648 7.59501i −0.256895 0.434889i
\(306\) −0.828995 + 0.602300i −0.0473905 + 0.0344312i
\(307\) 14.5372i 0.829680i −0.909894 0.414840i \(-0.863837\pi\)
0.909894 0.414840i \(-0.136163\pi\)
\(308\) 10.0673 + 13.8564i 0.573637 + 0.789543i
\(309\) 2.20973 + 6.80085i 0.125707 + 0.386887i
\(310\) −1.99339 + 4.60004i −0.113217 + 0.261265i
\(311\) 4.47841 13.7831i 0.253947 0.781570i −0.740088 0.672510i \(-0.765216\pi\)
0.994035 0.109060i \(-0.0347839\pi\)
\(312\) −5.61543 + 1.82456i −0.317911 + 0.103296i
\(313\) −29.9857 + 9.74294i −1.69489 + 0.550703i −0.987706 0.156325i \(-0.950035\pi\)
−0.707185 + 0.707029i \(0.750035\pi\)
\(314\) 2.11462 6.50814i 0.119335 0.367276i
\(315\) −2.87303 + 6.62996i −0.161877 + 0.373556i
\(316\) −4.13198 12.7169i −0.232442 0.715384i
\(317\) 8.80564 + 12.1199i 0.494574 + 0.680722i 0.981223 0.192875i \(-0.0617811\pi\)
−0.486650 + 0.873597i \(0.661781\pi\)
\(318\) 2.31107i 0.129598i
\(319\) −1.11815 + 0.812385i −0.0626045 + 0.0454848i
\(320\) −1.13727 1.92526i −0.0635755 0.107625i
\(321\) −2.58932 1.88125i −0.144522 0.105001i
\(322\) 3.66254 5.04105i 0.204105 0.280927i
\(323\) 4.39244 + 1.42719i 0.244402 + 0.0794110i
\(324\) −1.00000 −0.0555556
\(325\) −12.5428 26.7251i −0.695747 1.48244i
\(326\) −9.38717 −0.519907
\(327\) 9.41123 + 3.05789i 0.520442 + 0.169102i
\(328\) 5.85500 8.05872i 0.323288 0.444968i
\(329\) −27.5236 19.9971i −1.51742 1.10247i
\(330\) −10.8747 4.71244i −0.598630 0.259411i
\(331\) 17.4888 12.7064i 0.961273 0.698406i 0.00782724 0.999969i \(-0.497508\pi\)
0.953446 + 0.301563i \(0.0975085\pi\)
\(332\) 7.48698i 0.410901i
\(333\) −5.61543 7.72898i −0.307724 0.423545i
\(334\) −2.11022 6.49460i −0.115466 0.355369i
\(335\) 20.6846 + 1.96586i 1.13012 + 0.107407i
\(336\) 0.998566 3.07327i 0.0544762 0.167661i
\(337\) 7.22323 2.34697i 0.393474 0.127848i −0.105596 0.994409i \(-0.533675\pi\)
0.499070 + 0.866562i \(0.333675\pi\)
\(338\) 20.7921 6.75576i 1.13094 0.367465i
\(339\) 1.31201 4.03794i 0.0712585 0.219311i
\(340\) 1.71795 + 1.51613i 0.0931689 + 0.0822235i
\(341\) −3.67220 11.3019i −0.198861 0.612031i
\(342\) 2.64926 + 3.64639i 0.143255 + 0.197174i
\(343\) 11.4970i 0.620780i
\(344\) −4.28912 + 3.11623i −0.231254 + 0.168016i
\(345\) −0.407951 + 4.29241i −0.0219633 + 0.231096i
\(346\) −15.2584 11.0859i −0.820298 0.595981i
\(347\) −4.42781 + 6.09436i −0.237697 + 0.327162i −0.911155 0.412063i \(-0.864808\pi\)
0.673458 + 0.739226i \(0.264808\pi\)
\(348\) 0.247999 + 0.0805798i 0.0132942 + 0.00431953i
\(349\) −18.7527 −1.00381 −0.501904 0.864923i \(-0.667367\pi\)
−0.501904 + 0.864923i \(0.667367\pi\)
\(350\) 15.8679 + 3.04366i 0.848173 + 0.162690i
\(351\) 5.90441 0.315154
\(352\) 5.04087 + 1.63788i 0.268679 + 0.0872992i
\(353\) −2.56631 + 3.53223i −0.136591 + 0.188001i −0.871833 0.489803i \(-0.837069\pi\)
0.735242 + 0.677805i \(0.237069\pi\)
\(354\) −5.25216 3.81592i −0.279149 0.202814i
\(355\) 18.6332 4.15509i 0.988950 0.220529i
\(356\) 0.593474 0.431184i 0.0314541 0.0228527i
\(357\) 3.31122i 0.175249i
\(358\) 0.553303 + 0.761557i 0.0292430 + 0.0402495i
\(359\) −0.227811 0.701130i −0.0120234 0.0370042i 0.944865 0.327461i \(-0.106193\pi\)
−0.956888 + 0.290456i \(0.906193\pi\)
\(360\) 0.486675 + 2.18246i 0.0256500 + 0.115026i
\(361\) 0.406269 1.25037i 0.0213826 0.0658088i
\(362\) −13.4153 + 4.35891i −0.705095 + 0.229099i
\(363\) 16.2564 5.28204i 0.853242 0.277235i
\(364\) −5.89595 + 18.1459i −0.309032 + 0.951101i
\(365\) 7.61288 4.49703i 0.398476 0.235385i
\(366\) −1.21905 3.75186i −0.0637209 0.196113i
\(367\) −11.0856 15.2581i −0.578666 0.796466i 0.414882 0.909875i \(-0.363823\pi\)
−0.993548 + 0.113410i \(0.963823\pi\)
\(368\) 1.92827i 0.100518i
\(369\) −8.05872 + 5.85500i −0.419520 + 0.304799i
\(370\) −14.1353 + 16.0170i −0.734860 + 0.832683i
\(371\) 6.04179 + 4.38962i 0.313674 + 0.227898i
\(372\) −1.31784 + 1.81386i −0.0683270 + 0.0940441i
\(373\) 28.3763 + 9.22003i 1.46927 + 0.477395i 0.930888 0.365305i \(-0.119035\pi\)
0.538383 + 0.842700i \(0.319035\pi\)
\(374\) −5.43117 −0.280839
\(375\) −10.5251 + 3.77118i −0.543515 + 0.194743i
\(376\) −10.5282 −0.542949
\(377\) −1.46429 0.475776i −0.0754147 0.0245037i
\(378\) −1.89939 + 2.61428i −0.0976939 + 0.134464i
\(379\) 20.6159 + 14.9783i 1.05897 + 0.769384i 0.973897 0.226991i \(-0.0728889\pi\)
0.0850692 + 0.996375i \(0.472889\pi\)
\(380\) 6.66878 7.55651i 0.342101 0.387641i
\(381\) 7.48413 5.43754i 0.383424 0.278574i
\(382\) 25.4719i 1.30326i
\(383\) 18.5995 + 25.6000i 0.950389 + 1.30810i 0.951354 + 0.308098i \(0.0996926\pi\)
−0.000965638 1.00000i \(0.500307\pi\)
\(384\) −0.309017 0.951057i −0.0157695 0.0485334i
\(385\) −32.9748 + 19.4786i −1.68055 + 0.992724i
\(386\) −2.05014 + 6.30968i −0.104349 + 0.321154i
\(387\) 5.04216 1.63830i 0.256307 0.0832793i
\(388\) −16.4121 + 5.33261i −0.833197 + 0.270722i
\(389\) −3.72304 + 11.4583i −0.188766 + 0.580961i −0.999993 0.00377022i \(-0.998800\pi\)
0.811227 + 0.584731i \(0.198800\pi\)
\(390\) −2.87353 12.8862i −0.145507 0.652516i
\(391\) 0.610584 + 1.87918i 0.0308786 + 0.0950344i
\(392\) −2.02323 2.78474i −0.102189 0.140651i
\(393\) 4.86497i 0.245405i
\(394\) −8.23396 + 5.98232i −0.414821 + 0.301385i
\(395\) 29.1826 6.50752i 1.46833 0.327429i
\(396\) −4.28802 3.11543i −0.215481 0.156556i
\(397\) 15.1393 20.8374i 0.759819 1.04580i −0.237410 0.971410i \(-0.576298\pi\)
0.997229 0.0743920i \(-0.0237016\pi\)
\(398\) 2.39893 + 0.779460i 0.120247 + 0.0390708i
\(399\) 14.5646 0.729144
\(400\) 4.52629 2.12430i 0.226315 0.106215i
\(401\) 26.3196 1.31434 0.657169 0.753743i \(-0.271754\pi\)
0.657169 + 0.753743i \(0.271754\pi\)
\(402\) 8.83731 + 2.87142i 0.440765 + 0.143213i
\(403\) 7.78109 10.7098i 0.387604 0.533491i
\(404\) 9.58313 + 6.96255i 0.476779 + 0.346400i
\(405\) 0.211563 2.22604i 0.0105126 0.110613i
\(406\) 0.681704 0.495287i 0.0338324 0.0245807i
\(407\) 50.6365i 2.50996i
\(408\) 0.602300 + 0.828995i 0.0298183 + 0.0410414i
\(409\) −11.3630 34.9716i −0.561863 1.72924i −0.677093 0.735897i \(-0.736761\pi\)
0.115230 0.993339i \(-0.463239\pi\)
\(410\) 16.7003 + 14.7384i 0.824769 + 0.727876i
\(411\) 1.85925 5.72219i 0.0917101 0.282255i
\(412\) 6.80085 2.20973i 0.335054 0.108866i
\(413\) −19.9517 + 6.48272i −0.981761 + 0.318994i
\(414\) −0.595870 + 1.83390i −0.0292854 + 0.0901312i
\(415\) −16.6663 1.58397i −0.818116 0.0777538i
\(416\) 1.82456 + 5.61543i 0.0894566 + 0.275319i
\(417\) 3.30758 + 4.55250i 0.161973 + 0.222937i
\(418\) 23.8894i 1.16847i
\(419\) −25.6657 + 18.6472i −1.25385 + 0.910975i −0.998439 0.0558572i \(-0.982211\pi\)
−0.255411 + 0.966833i \(0.582211\pi\)
\(420\) 6.62996 + 2.87303i 0.323509 + 0.140190i
\(421\) −7.13332 5.18266i −0.347657 0.252587i 0.400229 0.916415i \(-0.368931\pi\)
−0.747885 + 0.663828i \(0.768931\pi\)
\(422\) 9.26574 12.7532i 0.451049 0.620816i
\(423\) 10.0129 + 3.25338i 0.486843 + 0.158185i
\(424\) 2.31107 0.112236
\(425\) −3.73841 + 3.50346i −0.181339 + 0.169943i
\(426\) 8.53771 0.413653
\(427\) −12.1239 3.93928i −0.586715 0.190635i
\(428\) −1.88125 + 2.58932i −0.0909339 + 0.125160i
\(429\) 25.3182 + 18.3948i 1.22238 + 0.888108i
\(430\) −6.02942 10.2070i −0.290764 0.492226i
\(431\) −19.0172 + 13.8168i −0.916026 + 0.665532i −0.942532 0.334117i \(-0.891562\pi\)
0.0265058 + 0.999649i \(0.491562\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −4.93923 6.79827i −0.237364 0.326704i 0.673672 0.739031i \(-0.264716\pi\)
−0.911036 + 0.412327i \(0.864716\pi\)
\(434\) 2.23883 + 6.89042i 0.107468 + 0.330751i
\(435\) −0.231841 + 0.535008i −0.0111159 + 0.0256517i
\(436\) 3.05789 9.41123i 0.146447 0.450716i
\(437\) 8.26572 2.68569i 0.395403 0.128474i
\(438\) 3.76068 1.22192i 0.179692 0.0583856i
\(439\) −11.0111 + 33.8885i −0.525529 + 1.61741i 0.237739 + 0.971329i \(0.423594\pi\)
−0.763268 + 0.646083i \(0.776406\pi\)
\(440\) −4.71244 + 10.8747i −0.224657 + 0.518429i
\(441\) 1.06368 + 3.27366i 0.0506512 + 0.155888i
\(442\) −3.55623 4.89473i −0.169152 0.232818i
\(443\) 6.79550i 0.322864i 0.986884 + 0.161432i \(0.0516112\pi\)
−0.986884 + 0.161432i \(0.948389\pi\)
\(444\) −7.72898 + 5.61543i −0.366801 + 0.266497i
\(445\) 0.834275 + 1.41232i 0.0395484 + 0.0669503i
\(446\) 7.52009 + 5.46366i 0.356087 + 0.258712i
\(447\) −6.85098 + 9.42957i −0.324040 + 0.446003i
\(448\) −3.07327 0.998566i −0.145198 0.0471778i
\(449\) −8.75011 −0.412943 −0.206472 0.978453i \(-0.566198\pi\)
−0.206472 + 0.978453i \(0.566198\pi\)
\(450\) −4.96121 + 0.621629i −0.233874 + 0.0293039i
\(451\) −52.7968 −2.48610
\(452\) −4.03794 1.31201i −0.189929 0.0617117i
\(453\) −3.24666 + 4.46864i −0.152541 + 0.209955i
\(454\) −2.94327 2.13841i −0.138135 0.100361i
\(455\) −39.1460 16.9636i −1.83519 0.795265i
\(456\) 3.64639 2.64926i 0.170758 0.124063i
\(457\) 38.1474i 1.78446i 0.451581 + 0.892230i \(0.350860\pi\)
−0.451581 + 0.892230i \(0.649140\pi\)
\(458\) 5.83777 + 8.03500i 0.272781 + 0.375451i
\(459\) −0.316648 0.974542i −0.0147799 0.0454877i
\(460\) 4.29241 + 0.407951i 0.200135 + 0.0190208i
\(461\) −0.392689 + 1.20857i −0.0182893 + 0.0562888i −0.959785 0.280737i \(-0.909421\pi\)
0.941495 + 0.337026i \(0.109421\pi\)
\(462\) −16.2892 + 5.29269i −0.757843 + 0.246238i
\(463\) −8.49626 + 2.76060i −0.394855 + 0.128296i −0.499713 0.866191i \(-0.666561\pi\)
0.104858 + 0.994487i \(0.466561\pi\)
\(464\) 0.0805798 0.247999i 0.00374082 0.0115131i
\(465\) −3.75890 3.31731i −0.174315 0.153837i
\(466\) 5.80623 + 17.8697i 0.268968 + 0.827799i
\(467\) −3.38378 4.65737i −0.156582 0.215517i 0.723517 0.690306i \(-0.242524\pi\)
−0.880100 + 0.474789i \(0.842524\pi\)
\(468\) 5.90441i 0.272932i
\(469\) 24.2922 17.6493i 1.12171 0.814968i
\(470\) 2.22737 23.4361i 0.102741 1.08103i
\(471\) 5.53616 + 4.02225i 0.255093 + 0.185336i
\(472\) −3.81592 + 5.25216i −0.175642 + 0.241750i
\(473\) 26.7249 + 8.68344i 1.22881 + 0.399265i
\(474\) 13.3714 0.614168
\(475\) 15.4102 + 16.4436i 0.707069 + 0.754486i
\(476\) 3.31122 0.151770
\(477\) −2.19796 0.714161i −0.100638 0.0326992i
\(478\) 5.73200 7.88942i 0.262175 0.360854i
\(479\) −3.74616 2.72175i −0.171167 0.124360i 0.498904 0.866657i \(-0.333736\pi\)
−0.670070 + 0.742298i \(0.733736\pi\)
\(480\) 2.18246 0.486675i 0.0996154 0.0222136i
\(481\) 45.6351 33.1558i 2.08078 1.51177i
\(482\) 18.9211i 0.861832i
\(483\) 3.66254 + 5.04105i 0.166651 + 0.229376i
\(484\) −5.28204 16.2564i −0.240093 0.738929i
\(485\) −8.39840 37.6621i −0.381352 1.71015i
\(486\) 0.309017 0.951057i 0.0140173 0.0431408i
\(487\) 15.1442 4.92064i 0.686248 0.222975i 0.0549192 0.998491i \(-0.482510\pi\)
0.631329 + 0.775515i \(0.282510\pi\)
\(488\) −3.75186 + 1.21905i −0.169839 + 0.0551839i
\(489\) 2.90080 8.92773i 0.131178 0.403726i
\(490\) 6.62697 3.91464i 0.299376 0.176845i
\(491\) −1.97176 6.06846i −0.0889844 0.273866i 0.896655 0.442730i \(-0.145990\pi\)
−0.985639 + 0.168864i \(0.945990\pi\)
\(492\) 5.85500 + 8.05872i 0.263964 + 0.363315i
\(493\) 0.267201i 0.0120341i
\(494\) −21.5298 + 15.6423i −0.968671 + 0.703780i
\(495\) 7.84225 8.88619i 0.352483 0.399404i
\(496\) 1.81386 + 1.31784i 0.0814445 + 0.0591729i
\(497\) 16.2164 22.3200i 0.727405 1.00119i
\(498\) −7.12054 2.31360i −0.319079 0.103675i
\(499\) −12.9135 −0.578087 −0.289044 0.957316i \(-0.593337\pi\)
−0.289044 + 0.957316i \(0.593337\pi\)
\(500\) 3.77118 + 10.5251i 0.168652 + 0.470698i
\(501\) 6.82883 0.305090
\(502\) −1.88887 0.613732i −0.0843046 0.0273922i
\(503\) −0.853483 + 1.17472i −0.0380549 + 0.0523781i −0.827620 0.561288i \(-0.810306\pi\)
0.789566 + 0.613666i \(0.210306\pi\)
\(504\) 2.61428 + 1.89939i 0.116449 + 0.0846054i
\(505\) −17.5263 + 19.8594i −0.779912 + 0.883731i
\(506\) −8.26848 + 6.00740i −0.367579 + 0.267062i
\(507\) 21.8621i 0.970929i
\(508\) −5.43754 7.48413i −0.241252 0.332055i
\(509\) 3.83481 + 11.8023i 0.169975 + 0.523130i 0.999368 0.0355355i \(-0.0113137\pi\)
−0.829393 + 0.558665i \(0.811314\pi\)
\(510\) −1.97280 + 1.16536i −0.0873569 + 0.0516029i
\(511\) 3.94855 12.1524i 0.174673 0.537590i
\(512\) −0.951057 + 0.309017i −0.0420312 + 0.0136568i
\(513\) −4.28659 + 1.39280i −0.189257 + 0.0614935i
\(514\) 5.95775 18.3361i 0.262785 0.808770i
\(515\) 3.48014 + 15.6064i 0.153353 + 0.687702i
\(516\) −1.63830 5.04216i −0.0721220 0.221969i
\(517\) 32.7998 + 45.1450i 1.44253 + 1.98548i
\(518\) 30.8716i 1.35642i
\(519\) 15.2584 11.0859i 0.669770 0.486617i
\(520\) −12.8862 + 2.87353i −0.565096 + 0.126013i
\(521\) −6.42857 4.67063i −0.281641 0.204624i 0.437992 0.898979i \(-0.355690\pi\)
−0.719633 + 0.694355i \(0.755690\pi\)
\(522\) −0.153272 + 0.210961i −0.00670853 + 0.00923350i
\(523\) −33.1258 10.7632i −1.44849 0.470643i −0.523957 0.851745i \(-0.675545\pi\)
−0.924533 + 0.381101i \(0.875545\pi\)
\(524\) 4.86497 0.212527
\(525\) −7.79813 + 14.1507i −0.340338 + 0.617587i
\(526\) 12.5297 0.546320
\(527\) −2.18497 0.709940i −0.0951788 0.0309255i
\(528\) −3.11543 + 4.28802i −0.135582 + 0.186612i
\(529\) −15.5993 11.3335i −0.678229 0.492762i
\(530\) −0.488937 + 5.14453i −0.0212381 + 0.223464i
\(531\) 5.25216 3.81592i 0.227924 0.165597i
\(532\) 14.5646i 0.631457i
\(533\) −34.5703 47.5820i −1.49741 2.06100i
\(534\) 0.226687 + 0.697671i 0.00980970 + 0.0301912i
\(535\) −5.36593 4.73555i −0.231989 0.204736i
\(536\) 2.87142 8.83731i 0.124026 0.381714i
\(537\) −0.895264 + 0.290889i −0.0386335 + 0.0125528i
\(538\) 12.8326 4.16955i 0.553251 0.179762i
\(539\) −5.63778 + 17.3513i −0.242837 + 0.747374i
\(540\) −2.22604 0.211563i −0.0957934 0.00910421i
\(541\) 8.70571 + 26.7934i 0.374288 + 1.15194i 0.943958 + 0.330065i \(0.107071\pi\)
−0.569670 + 0.821873i \(0.692929\pi\)
\(542\) 15.7606 + 21.6926i 0.676975 + 0.931776i
\(543\) 14.1057i 0.605335i
\(544\) 0.828995 0.602300i 0.0355429 0.0258234i
\(545\) 20.3028 + 8.79805i 0.869677 + 0.376867i
\(546\) −15.4358 11.2148i −0.660591 0.479947i
\(547\) 15.9747 21.9873i 0.683029 0.940108i −0.316937 0.948447i \(-0.602654\pi\)
0.999965 + 0.00833839i \(0.00265422\pi\)
\(548\) −5.72219 1.85925i −0.244440 0.0794233i
\(549\) 3.94494 0.168366
\(550\) −23.2104 12.7907i −0.989695 0.545399i
\(551\) 1.17530 0.0500695
\(552\) 1.83390 + 0.595870i 0.0780559 + 0.0253619i
\(553\) 25.3974 34.9565i 1.08001 1.48650i
\(554\) 6.60744 + 4.80058i 0.280723 + 0.203957i
\(555\) −10.8650 18.3930i −0.461193 0.780739i
\(556\) 4.55250 3.30758i 0.193069 0.140273i
\(557\) 6.74857i 0.285946i −0.989727 0.142973i \(-0.954334\pi\)
0.989727 0.142973i \(-0.0456663\pi\)
\(558\) −1.31784 1.81386i −0.0557888 0.0767867i
\(559\) 9.67318 + 29.7710i 0.409132 + 1.25918i
\(560\) 2.87303 6.62996i 0.121408 0.280167i
\(561\) 1.67832 5.16535i 0.0708589 0.218081i
\(562\) −29.8078 + 9.68515i −1.25737 + 0.408543i
\(563\) 10.7542 3.49426i 0.453236 0.147265i −0.0734982 0.997295i \(-0.523416\pi\)
0.526734 + 0.850030i \(0.323416\pi\)
\(564\) 3.25338 10.0129i 0.136992 0.421618i
\(565\) 3.77486 8.71104i 0.158809 0.366476i
\(566\) −5.05253 15.5501i −0.212374 0.653620i
\(567\) −1.89939 2.61428i −0.0797667 0.109789i
\(568\) 8.53771i 0.358234i
\(569\) 20.4022 14.8231i 0.855304 0.621415i −0.0712991 0.997455i \(-0.522714\pi\)
0.926603 + 0.376040i \(0.122714\pi\)
\(570\) 5.12590 + 8.67748i 0.214700 + 0.363460i
\(571\) 22.4908 + 16.3405i 0.941209 + 0.683828i 0.948711 0.316144i \(-0.102388\pi\)
−0.00750262 + 0.999972i \(0.502388\pi\)
\(572\) 18.3948 25.3182i 0.769124 1.05861i
\(573\) −24.2252 7.87125i −1.01202 0.328826i
\(574\) 32.1886 1.34353
\(575\) −1.81623 + 9.46876i −0.0757420 + 0.394875i
\(576\) 1.00000 0.0416667
\(577\) −10.9309 3.55168i −0.455061 0.147858i 0.0725129 0.997367i \(-0.476898\pi\)
−0.527574 + 0.849509i \(0.676898\pi\)
\(578\) 9.37518 12.9038i 0.389956 0.536728i
\(579\) −5.36734 3.89960i −0.223059 0.162062i
\(580\) 0.535008 + 0.231841i 0.0222150 + 0.00962668i
\(581\) −19.5731 + 14.2207i −0.812027 + 0.589972i
\(582\) 17.2567i 0.715313i
\(583\) −7.19998 9.90993i −0.298193 0.410427i
\(584\) −1.22192 3.76068i −0.0505634 0.155618i
\(585\) 13.1434 + 1.24915i 0.543414 + 0.0516461i
\(586\) −8.71017 + 26.8072i −0.359814 + 1.10739i
\(587\) −40.1613 + 13.0492i −1.65763 + 0.538598i −0.980374 0.197147i \(-0.936832\pi\)
−0.677259 + 0.735745i \(0.736832\pi\)
\(588\) 3.27366 1.06368i 0.135003 0.0438652i
\(589\) −3.12272 + 9.61074i −0.128669 + 0.396004i
\(590\) −10.8842 9.60553i −0.448095 0.395454i
\(591\) −3.14509 9.67960i −0.129372 0.398166i
\(592\) 5.61543 + 7.72898i 0.230793 + 0.317659i
\(593\) 0.0131121i 0.000538451i 1.00000 0.000269225i \(8.56971e-5\pi\)
−1.00000 0.000269225i \(0.999914\pi\)
\(594\) 4.28802 3.11543i 0.175940 0.127828i
\(595\) −0.700532 + 7.37091i −0.0287190 + 0.302178i
\(596\) 9.42957 + 6.85098i 0.386250 + 0.280627i
\(597\) −1.48262 + 2.04065i −0.0606796 + 0.0835183i
\(598\) −10.8281 3.51826i −0.442794 0.143872i
\(599\) −2.38072 −0.0972738 −0.0486369 0.998817i \(-0.515488\pi\)
−0.0486369 + 0.998817i \(0.515488\pi\)
\(600\) 0.621629 + 4.96121i 0.0253779 + 0.202540i
\(601\) −19.6020 −0.799581 −0.399790 0.916607i \(-0.630917\pi\)
−0.399790 + 0.916607i \(0.630917\pi\)
\(602\) −16.2934 5.29404i −0.664068 0.215769i
\(603\) −5.46176 + 7.51747i −0.222420 + 0.306135i
\(604\) 4.46864 + 3.24666i 0.181826 + 0.132105i
\(605\) 37.3049 8.31875i 1.51666 0.338205i
\(606\) −9.58313 + 6.96255i −0.389288 + 0.282834i
\(607\) 10.7155i 0.434930i 0.976068 + 0.217465i \(0.0697788\pi\)
−0.976068 + 0.217465i \(0.930221\pi\)
\(608\) −2.64926 3.64639i −0.107442 0.147881i
\(609\) 0.260388 + 0.801391i 0.0105514 + 0.0324740i
\(610\) −1.91990 8.60968i −0.0777346 0.348596i
\(611\) −19.2093 + 59.1202i −0.777126 + 2.39175i
\(612\) −0.974542 + 0.316648i −0.0393935 + 0.0127997i
\(613\) 1.10735 0.359801i 0.0447256 0.0145322i −0.286569 0.958060i \(-0.592515\pi\)
0.331294 + 0.943527i \(0.392515\pi\)
\(614\) 4.49223 13.8257i 0.181292 0.557959i
\(615\) −19.1777 + 11.3285i −0.773320 + 0.456810i
\(616\) 5.29269 + 16.2892i 0.213248 + 0.656311i
\(617\) −13.3095 18.3190i −0.535821 0.737495i 0.452182 0.891926i \(-0.350646\pi\)
−0.988004 + 0.154431i \(0.950646\pi\)
\(618\) 7.15084i 0.287649i
\(619\) 20.0413 14.5609i 0.805529 0.585251i −0.107002 0.994259i \(-0.534125\pi\)
0.912531 + 0.409008i \(0.134125\pi\)
\(620\) −3.31731 + 3.75890i −0.133227 + 0.150961i
\(621\) −1.56001 1.13341i −0.0626009 0.0454822i
\(622\) 8.51844 11.7246i 0.341559 0.470115i
\(623\) 2.25447 + 0.732522i 0.0903235 + 0.0293479i
\(624\) −5.90441 −0.236366
\(625\) −24.2272 + 6.16806i −0.969086 + 0.246722i
\(626\) −31.5288 −1.26014
\(627\) −22.7201 7.38222i −0.907355 0.294817i
\(628\) 4.02225 5.53616i 0.160505 0.220917i
\(629\) −7.91983 5.75410i −0.315784 0.229431i
\(630\) −4.78119 + 5.41765i −0.190487 + 0.215844i
\(631\) 26.4156 19.1920i 1.05159 0.764023i 0.0790740 0.996869i \(-0.474804\pi\)
0.972514 + 0.232845i \(0.0748036\pi\)
\(632\) 13.3714i 0.531885i
\(633\) 9.26574 + 12.7532i 0.368280 + 0.506894i
\(634\) 4.62940 + 14.2478i 0.183857 + 0.565853i
\(635\) 17.8103 10.5208i 0.706782 0.417505i
\(636\) −0.714161 + 2.19796i −0.0283183 + 0.0871548i
\(637\) −19.3290 + 6.28038i −0.765844 + 0.248838i
\(638\) −1.31447 + 0.427096i −0.0520402 + 0.0169089i
\(639\) −2.63830 + 8.11984i −0.104369 + 0.321216i
\(640\) −0.486675 2.18246i −0.0192375 0.0862694i
\(641\) −8.29842 25.5399i −0.327768 1.00877i −0.970176 0.242403i \(-0.922064\pi\)
0.642408 0.766363i \(-0.277936\pi\)
\(642\) −1.88125 2.58932i −0.0742472 0.102193i
\(643\) 17.1051i 0.674559i −0.941405 0.337279i \(-0.890493\pi\)
0.941405 0.337279i \(-0.109507\pi\)
\(644\) 5.04105 3.66254i 0.198645 0.144324i
\(645\) 11.5706 2.58018i 0.455593 0.101594i
\(646\) 3.73643 + 2.71468i 0.147008 + 0.106808i
\(647\) −26.9285 + 37.0639i −1.05867 + 1.45713i −0.177626 + 0.984098i \(0.556842\pi\)
−0.881043 + 0.473036i \(0.843158\pi\)
\(648\) −0.951057 0.309017i −0.0373610 0.0121393i
\(649\) 34.4096 1.35069
\(650\) −3.67035 29.2930i −0.143963 1.14897i
\(651\) −7.24502 −0.283955
\(652\) −8.92773 2.90080i −0.349637 0.113604i
\(653\) 6.73337 9.26769i 0.263497 0.362673i −0.656684 0.754166i \(-0.728041\pi\)
0.920181 + 0.391493i \(0.128041\pi\)
\(654\) 8.00567 + 5.81646i 0.313046 + 0.227442i
\(655\) −1.02925 + 10.8296i −0.0402160 + 0.423148i
\(656\) 8.05872 5.85500i 0.314640 0.228599i
\(657\) 3.95422i 0.154269i
\(658\) −19.9971 27.5236i −0.779566 1.07298i
\(659\) −12.3601 38.0405i −0.481482 1.48185i −0.837013 0.547183i \(-0.815700\pi\)
0.355531 0.934664i \(-0.384300\pi\)
\(660\) −8.88619 7.84225i −0.345894 0.305259i
\(661\) −1.75871 + 5.41276i −0.0684060 + 0.210532i −0.979416 0.201852i \(-0.935304\pi\)
0.911010 + 0.412384i \(0.135304\pi\)
\(662\) 20.5594 6.68014i 0.799062 0.259631i
\(663\) 5.75410 1.86962i 0.223471 0.0726100i
\(664\) −2.31360 + 7.12054i −0.0897852 + 0.276331i
\(665\) 32.4214 + 3.08134i 1.25725 + 0.119489i
\(666\) −2.95221 9.08596i −0.114396 0.352074i
\(667\) 0.295550 + 0.406790i 0.0114438 + 0.0157510i
\(668\) 6.82883i 0.264215i
\(669\) −7.52009 + 5.46366i −0.290743 + 0.211237i
\(670\) 19.0647 + 8.26153i 0.736534 + 0.319171i
\(671\) 16.9160 + 12.2902i 0.653034 + 0.474457i
\(672\) 1.89939 2.61428i 0.0732704 0.100848i
\(673\) 46.0813 + 14.9727i 1.77630 + 0.577156i 0.998670 0.0515628i \(-0.0164202\pi\)
0.777633 + 0.628719i \(0.216420\pi\)
\(674\) 7.59495 0.292547
\(675\) 0.941893 4.91048i 0.0362535 0.189005i
\(676\) 21.8621 0.840849
\(677\) −17.6033 5.71966i −0.676550 0.219824i −0.0494656 0.998776i \(-0.515752\pi\)
−0.627084 + 0.778951i \(0.715752\pi\)
\(678\) 2.49559 3.43488i 0.0958424 0.131916i
\(679\) −45.1138 32.7771i −1.73131 1.25787i
\(680\) 1.16536 + 1.97280i 0.0446894 + 0.0756533i
\(681\) 2.94327 2.13841i 0.112787 0.0819442i
\(682\) 11.8835i 0.455043i
\(683\) 21.1745 + 29.1442i 0.810219 + 1.11517i 0.991289 + 0.131701i \(0.0420439\pi\)
−0.181070 + 0.983470i \(0.557956\pi\)
\(684\) 1.39280 + 4.28659i 0.0532549 + 0.163902i
\(685\) 5.34936 12.3445i 0.204389 0.471657i
\(686\) −3.55277 + 10.9343i −0.135645 + 0.417474i
\(687\) −9.44571 + 3.06910i −0.360376 + 0.117093i
\(688\) −5.04216 + 1.63830i −0.192231 + 0.0624595i
\(689\) 4.21670 12.9777i 0.160643 0.494410i
\(690\) −1.71441 + 3.95626i −0.0652666 + 0.150612i
\(691\) −4.47133 13.7613i −0.170097 0.523506i 0.829278 0.558836i \(-0.188752\pi\)
−0.999376 + 0.0353301i \(0.988752\pi\)
\(692\) −11.0859 15.2584i −0.421422 0.580038i
\(693\) 17.1275i 0.650620i
\(694\) −6.09436 + 4.42781i −0.231339 + 0.168077i
\(695\) 6.39967 + 10.8338i 0.242753 + 0.410949i
\(696\) 0.210961 + 0.153272i 0.00799644 + 0.00580976i
\(697\) −5.99958 + 8.25772i −0.227250 + 0.312783i
\(698\) −17.8349 5.79489i −0.675059 0.219340i
\(699\) −18.7893 −0.710678
\(700\) 14.1507 + 7.79813i 0.534846 + 0.294742i
\(701\) 8.31284 0.313972 0.156986 0.987601i \(-0.449822\pi\)
0.156986 + 0.987601i \(0.449822\pi\)
\(702\) 5.61543 + 1.82456i 0.211941 + 0.0688637i
\(703\) −25.3098 + 34.8359i −0.954576 + 1.31386i
\(704\) 4.28802 + 3.11543i 0.161611 + 0.117417i
\(705\) 21.6008 + 9.36050i 0.813532 + 0.352537i
\(706\) −3.53223 + 2.56631i −0.132937 + 0.0965845i
\(707\) 38.2776i 1.43958i
\(708\) −3.81592 5.25216i −0.143411 0.197388i
\(709\) 2.77255 + 8.53302i 0.104125 + 0.320464i 0.989524 0.144368i \(-0.0461148\pi\)
−0.885399 + 0.464832i \(0.846115\pi\)
\(710\) 19.0053 + 1.80626i 0.713254 + 0.0677878i
\(711\) −4.13198 + 12.7169i −0.154962 + 0.476923i
\(712\) 0.697671 0.226687i 0.0261463 0.00849545i
\(713\) −4.11169 + 1.33597i −0.153984 + 0.0500324i
\(714\) −1.02322 + 3.14916i −0.0382932 + 0.117854i
\(715\) 52.4677 + 46.3039i 1.96218 + 1.73167i
\(716\) 0.290889 + 0.895264i 0.0108710 + 0.0334576i
\(717\) 5.73200 + 7.88942i 0.214065 + 0.294636i
\(718\) 0.737212i 0.0275125i
\(719\) 22.7445 16.5249i 0.848228 0.616274i −0.0764289 0.997075i \(-0.524352\pi\)
0.924657 + 0.380801i \(0.124352\pi\)
\(720\) −0.211563 + 2.22604i −0.00788448 + 0.0829595i
\(721\) 18.6943 + 13.5822i 0.696212 + 0.505828i
\(722\) 0.772769 1.06363i 0.0287595 0.0395840i
\(723\) −17.9950 5.84694i −0.669242 0.217450i
\(724\) −14.1057 −0.524235
\(725\) −0.629274 + 1.14190i −0.0233707 + 0.0424090i
\(726\) 17.0930 0.634382
\(727\) 23.6592 + 7.68734i 0.877471 + 0.285108i 0.712907 0.701259i \(-0.247378\pi\)
0.164564 + 0.986366i \(0.447378\pi\)
\(728\) −11.2148 + 15.4358i −0.415647 + 0.572088i
\(729\) 0.809017 + 0.587785i 0.0299636 + 0.0217698i
\(730\) 8.62994 1.92442i 0.319408 0.0712260i
\(731\) 4.39503 3.19318i 0.162556 0.118104i
\(732\) 3.94494i 0.145809i
\(733\) −3.97108 5.46572i −0.146675 0.201881i 0.729358 0.684133i \(-0.239819\pi\)
−0.876033 + 0.482252i \(0.839819\pi\)
\(734\) −5.82807 17.9370i −0.215118 0.662065i
\(735\) 1.67520 + 7.51232i 0.0617906 + 0.277096i
\(736\) 0.595870 1.83390i 0.0219640 0.0675984i
\(737\) −46.8403 + 15.2193i −1.72538 + 0.560611i
\(738\) −9.47359 + 3.07816i −0.348728 + 0.113308i
\(739\) 1.57339 4.84241i 0.0578783 0.178131i −0.917938 0.396724i \(-0.870147\pi\)
0.975816 + 0.218593i \(0.0701469\pi\)
\(740\) −18.3930 + 10.8650i −0.676140 + 0.399405i
\(741\) −8.22365 25.3098i −0.302103 0.929778i
\(742\) 4.38962 + 6.04179i 0.161148 + 0.221801i
\(743\) 16.0999i 0.590647i −0.955397 0.295324i \(-0.904573\pi\)
0.955397 0.295324i \(-0.0954274\pi\)
\(744\) −1.81386 + 1.31784i −0.0664992 + 0.0483145i
\(745\) −17.2455 + 19.5412i −0.631826 + 0.715933i
\(746\) 24.1383 + 17.5375i 0.883768 + 0.642095i
\(747\) 4.40074 6.05709i 0.161015 0.221617i
\(748\) −5.16535 1.67832i −0.188864 0.0613656i
\(749\) −10.3424 −0.377905
\(750\) −11.1753 + 0.334163i −0.408066 + 0.0122019i
\(751\) −25.4366 −0.928196 −0.464098 0.885784i \(-0.653622\pi\)
−0.464098 + 0.885784i \(0.653622\pi\)
\(752\) −10.0129 3.25338i −0.365132 0.118639i
\(753\) 1.16739 1.60677i 0.0425420 0.0585540i
\(754\) −1.24560 0.904981i −0.0453620 0.0329575i
\(755\) −8.17257 + 9.26048i −0.297430 + 0.337024i
\(756\) −2.61428 + 1.89939i −0.0950804 + 0.0690800i
\(757\) 12.4947i 0.454129i −0.973880 0.227064i \(-0.927087\pi\)
0.973880 0.227064i \(-0.0729128\pi\)
\(758\) 14.9783 + 20.6159i 0.544037 + 0.748802i
\(759\) −3.15828 9.72018i −0.114638 0.352820i
\(760\) 8.67748 5.12590i 0.314765 0.185936i
\(761\) −3.58120 + 11.0218i −0.129818 + 0.399540i −0.994748 0.102353i \(-0.967363\pi\)
0.864930 + 0.501893i \(0.167363\pi\)
\(762\) 8.79813 2.85868i 0.318723 0.103559i
\(763\) 30.4117 9.88136i 1.10098 0.357729i
\(764\) −7.87125 + 24.2252i −0.284772 + 0.876438i
\(765\) −0.498693 2.23636i −0.0180303 0.0808557i
\(766\) 9.77832 + 30.0946i 0.353305 + 1.08736i
\(767\) 22.5307 + 31.0109i 0.813538 + 1.11974i
\(768\) 1.00000i 0.0360844i