Properties

Label 225.2.q.a.106.1
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.1
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.59352 - 0.551270i) q^{2} +(0.494958 - 1.65982i) q^{3} +(4.59535 + 2.04598i) q^{4} +(-0.527975 - 2.17284i) q^{5} +(-2.19869 + 4.03193i) q^{6} +(1.02644 - 1.77785i) q^{7} +(-6.50010 - 4.72260i) q^{8} +(-2.51003 - 1.64309i) q^{9} +O(q^{10})\) \(q+(-2.59352 - 0.551270i) q^{2} +(0.494958 - 1.65982i) q^{3} +(4.59535 + 2.04598i) q^{4} +(-0.527975 - 2.17284i) q^{5} +(-2.19869 + 4.03193i) q^{6} +(1.02644 - 1.77785i) q^{7} +(-6.50010 - 4.72260i) q^{8} +(-2.51003 - 1.64309i) q^{9} +(0.171493 + 5.92636i) q^{10} +(5.61416 + 1.19333i) q^{11} +(5.67048 - 6.61480i) q^{12} +(2.04279 - 0.434208i) q^{13} +(-3.64218 + 4.04505i) q^{14} +(-3.86786 - 0.199118i) q^{15} +(7.52292 + 8.35505i) q^{16} +(-0.0247468 - 0.0179796i) q^{17} +(5.60404 + 5.64508i) q^{18} +(-5.30003 - 3.85070i) q^{19} +(2.01936 - 11.0652i) q^{20} +(-2.44288 - 2.58368i) q^{21} +(-13.9026 - 6.18983i) q^{22} +(-2.69572 + 2.99390i) q^{23} +(-11.0560 + 8.45153i) q^{24} +(-4.44248 + 2.29441i) q^{25} -5.53738 q^{26} +(-3.96959 + 3.35296i) q^{27} +(8.35433 - 6.06978i) q^{28} +(-0.343074 - 3.26413i) q^{29} +(9.92161 + 2.64865i) q^{30} +(-0.336018 + 3.19700i) q^{31} +(-6.87040 - 11.8999i) q^{32} +(4.75948 - 8.72787i) q^{33} +(0.0542697 + 0.0602726i) q^{34} +(-4.40493 - 1.29164i) q^{35} +(-8.17277 - 12.6860i) q^{36} +(1.37908 - 4.24438i) q^{37} +(11.6230 + 12.9086i) q^{38} +(0.290384 - 3.60558i) q^{39} +(-6.82956 + 16.6171i) q^{40} +(-1.88764 + 0.401231i) q^{41} +(4.91135 + 8.04751i) q^{42} +(0.309512 - 0.536091i) q^{43} +(23.3575 + 16.9702i) q^{44} +(-2.24493 + 6.32142i) q^{45} +(8.64184 - 6.27867i) q^{46} +(0.271227 + 2.58056i) q^{47} +(17.5915 - 8.35134i) q^{48} +(1.39282 + 2.41244i) q^{49} +(12.7865 - 3.50160i) q^{50} +(-0.0420916 + 0.0321762i) q^{51} +(10.2757 + 2.18417i) q^{52} +(-2.83942 + 2.06296i) q^{53} +(12.1436 - 6.50765i) q^{54} +(-0.371228 - 12.8287i) q^{55} +(-15.0681 + 6.70874i) q^{56} +(-9.01477 + 6.89118i) q^{57} +(-0.909647 + 8.65471i) q^{58} +(7.94668 - 1.68912i) q^{59} +(-17.3668 - 8.82860i) q^{60} +(8.06706 + 1.71471i) q^{61} +(2.63388 - 8.10625i) q^{62} +(-5.49758 + 2.77594i) q^{63} +(4.31002 + 13.2649i) q^{64} +(-2.02201 - 4.20940i) q^{65} +(-17.1552 + 20.0121i) q^{66} +(0.0735643 - 0.699918i) q^{67} +(-0.0769343 - 0.133254i) q^{68} +(3.63508 + 5.95627i) q^{69} +(10.7122 + 5.77819i) q^{70} +(3.81216 - 2.76970i) q^{71} +(8.55584 + 22.5341i) q^{72} +(2.55263 + 7.85620i) q^{73} +(-5.91647 + 10.2476i) q^{74} +(1.60948 + 8.50938i) q^{75} +(-16.4770 - 28.5391i) q^{76} +(7.88418 - 8.75627i) q^{77} +(-2.74077 + 9.19107i) q^{78} +(-1.25546 - 11.9449i) q^{79} +(14.1823 - 20.7574i) q^{80} +(3.60054 + 8.24840i) q^{81} +5.11682 q^{82} +(12.0272 - 5.35485i) q^{83} +(-5.93973 - 16.8710i) q^{84} +(-0.0260011 + 0.0632637i) q^{85} +(-1.09826 + 1.21974i) q^{86} +(-5.58769 - 1.04616i) q^{87} +(-30.8570 - 34.2701i) q^{88} +(1.99904 + 6.15242i) q^{89} +(9.30707 - 15.1572i) q^{90} +(1.32485 - 4.07747i) q^{91} +(-18.5132 + 8.24263i) q^{92} +(5.14015 + 2.14011i) q^{93} +(0.719149 - 6.84224i) q^{94} +(-5.56867 + 13.5492i) q^{95} +(-23.1523 + 5.51372i) q^{96} +(1.06825 + 10.1637i) q^{97} +(-2.28241 - 7.02454i) q^{98} +(-12.1310 - 12.2198i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.59352 0.551270i −1.83390 0.389806i −0.844560 0.535462i \(-0.820138\pi\)
−0.989335 + 0.145655i \(0.953471\pi\)
\(3\) 0.494958 1.65982i 0.285764 0.958300i
\(4\) 4.59535 + 2.04598i 2.29768 + 1.02299i
\(5\) −0.527975 2.17284i −0.236118 0.971724i
\(6\) −2.19869 + 4.03193i −0.897612 + 1.64603i
\(7\) 1.02644 1.77785i 0.387959 0.671966i −0.604215 0.796821i \(-0.706513\pi\)
0.992175 + 0.124855i \(0.0398467\pi\)
\(8\) −6.50010 4.72260i −2.29813 1.66969i
\(9\) −2.51003 1.64309i −0.836678 0.547695i
\(10\) 0.171493 + 5.92636i 0.0542308 + 1.87408i
\(11\) 5.61416 + 1.19333i 1.69273 + 0.359801i 0.950592 0.310443i \(-0.100477\pi\)
0.742140 + 0.670244i \(0.233811\pi\)
\(12\) 5.67048 6.61480i 1.63693 1.90953i
\(13\) 2.04279 0.434208i 0.566568 0.120428i 0.0842823 0.996442i \(-0.473140\pi\)
0.482285 + 0.876014i \(0.339807\pi\)
\(14\) −3.64218 + 4.04505i −0.973413 + 1.08109i
\(15\) −3.86786 0.199118i −0.998678 0.0514120i
\(16\) 7.52292 + 8.35505i 1.88073 + 2.08876i
\(17\) −0.0247468 0.0179796i −0.00600198 0.00436070i 0.584780 0.811192i \(-0.301181\pi\)
−0.590782 + 0.806831i \(0.701181\pi\)
\(18\) 5.60404 + 5.64508i 1.32088 + 1.33056i
\(19\) −5.30003 3.85070i −1.21591 0.883410i −0.220156 0.975465i \(-0.570657\pi\)
−0.995754 + 0.0920546i \(0.970657\pi\)
\(20\) 2.01936 11.0652i 0.451544 2.47425i
\(21\) −2.44288 2.58368i −0.533080 0.563805i
\(22\) −13.9026 6.18983i −2.96404 1.31968i
\(23\) −2.69572 + 2.99390i −0.562096 + 0.624271i −0.955463 0.295111i \(-0.904644\pi\)
0.393367 + 0.919382i \(0.371310\pi\)
\(24\) −11.0560 + 8.45153i −2.25679 + 1.72516i
\(25\) −4.44248 + 2.29441i −0.888497 + 0.458883i
\(26\) −5.53738 −1.08597
\(27\) −3.96959 + 3.35296i −0.763949 + 0.645277i
\(28\) 8.35433 6.06978i 1.57882 1.14708i
\(29\) −0.343074 3.26413i −0.0637072 0.606134i −0.979073 0.203510i \(-0.934765\pi\)
0.915366 0.402624i \(-0.131902\pi\)
\(30\) 9.92161 + 2.64865i 1.81143 + 0.483575i
\(31\) −0.336018 + 3.19700i −0.0603507 + 0.574198i 0.922005 + 0.387177i \(0.126550\pi\)
−0.982356 + 0.187021i \(0.940117\pi\)
\(32\) −6.87040 11.8999i −1.21453 2.10362i
\(33\) 4.75948 8.72787i 0.828519 1.51933i
\(34\) 0.0542697 + 0.0602726i 0.00930718 + 0.0103367i
\(35\) −4.40493 1.29164i −0.744569 0.218327i
\(36\) −8.17277 12.6860i −1.36213 2.11434i
\(37\) 1.37908 4.24438i 0.226720 0.697771i −0.771393 0.636359i \(-0.780440\pi\)
0.998112 0.0614120i \(-0.0195604\pi\)
\(38\) 11.6230 + 12.9086i 1.88549 + 2.09405i
\(39\) 0.290384 3.60558i 0.0464987 0.577356i
\(40\) −6.82956 + 16.6171i −1.07985 + 2.62739i
\(41\) −1.88764 + 0.401231i −0.294800 + 0.0626617i −0.352938 0.935647i \(-0.614817\pi\)
0.0581374 + 0.998309i \(0.481484\pi\)
\(42\) 4.91135 + 8.04751i 0.757838 + 1.24176i
\(43\) 0.309512 0.536091i 0.0472002 0.0817531i −0.841460 0.540319i \(-0.818303\pi\)
0.888660 + 0.458566i \(0.151637\pi\)
\(44\) 23.3575 + 16.9702i 3.52128 + 2.55836i
\(45\) −2.24493 + 6.32142i −0.334654 + 0.942341i
\(46\) 8.64184 6.27867i 1.27417 0.925739i
\(47\) 0.271227 + 2.58056i 0.0395626 + 0.376413i 0.996332 + 0.0855668i \(0.0272701\pi\)
−0.956770 + 0.290846i \(0.906063\pi\)
\(48\) 17.5915 8.35134i 2.53911 1.20541i
\(49\) 1.39282 + 2.41244i 0.198975 + 0.344635i
\(50\) 12.7865 3.50160i 1.80829 0.495201i
\(51\) −0.0420916 + 0.0321762i −0.00589400 + 0.00450557i
\(52\) 10.2757 + 2.18417i 1.42499 + 0.302890i
\(53\) −2.83942 + 2.06296i −0.390024 + 0.283369i −0.765465 0.643477i \(-0.777491\pi\)
0.375441 + 0.926846i \(0.377491\pi\)
\(54\) 12.1436 6.50765i 1.65253 0.885579i
\(55\) −0.371228 12.8287i −0.0500564 1.72983i
\(56\) −15.0681 + 6.70874i −2.01356 + 0.896493i
\(57\) −9.01477 + 6.89118i −1.19404 + 0.912760i
\(58\) −0.909647 + 8.65471i −0.119442 + 1.13642i
\(59\) 7.94668 1.68912i 1.03457 0.219904i 0.340826 0.940127i \(-0.389293\pi\)
0.693744 + 0.720222i \(0.255960\pi\)
\(60\) −17.3668 8.82860i −2.24204 1.13977i
\(61\) 8.06706 + 1.71471i 1.03288 + 0.219546i 0.693011 0.720927i \(-0.256284\pi\)
0.339870 + 0.940472i \(0.389617\pi\)
\(62\) 2.63388 8.10625i 0.334503 1.02949i
\(63\) −5.49758 + 2.77594i −0.692629 + 0.349735i
\(64\) 4.31002 + 13.2649i 0.538753 + 1.65811i
\(65\) −2.02201 4.20940i −0.250799 0.522112i
\(66\) −17.1552 + 20.0121i −2.11166 + 2.46332i
\(67\) 0.0735643 0.699918i 0.00898731 0.0855086i −0.989109 0.147186i \(-0.952978\pi\)
0.998096 + 0.0616775i \(0.0196450\pi\)
\(68\) −0.0769343 0.133254i −0.00932966 0.0161594i
\(69\) 3.63508 + 5.95627i 0.437612 + 0.717051i
\(70\) 10.7122 + 5.77819i 1.28036 + 0.690626i
\(71\) 3.81216 2.76970i 0.452421 0.328703i −0.338130 0.941099i \(-0.609794\pi\)
0.790551 + 0.612397i \(0.209794\pi\)
\(72\) 8.55584 + 22.5341i 1.00831 + 2.65567i
\(73\) 2.55263 + 7.85620i 0.298763 + 0.919499i 0.981931 + 0.189237i \(0.0606016\pi\)
−0.683168 + 0.730261i \(0.739398\pi\)
\(74\) −5.91647 + 10.2476i −0.687776 + 1.19126i
\(75\) 1.60948 + 8.50938i 0.185847 + 0.982579i
\(76\) −16.4770 28.5391i −1.89005 3.27366i
\(77\) 7.88418 8.75627i 0.898486 0.997870i
\(78\) −2.74077 + 9.19107i −0.310331 + 1.04068i
\(79\) −1.25546 11.9449i −0.141251 1.34391i −0.803804 0.594894i \(-0.797194\pi\)
0.662554 0.749015i \(-0.269473\pi\)
\(80\) 14.1823 20.7574i 1.58563 2.32075i
\(81\) 3.60054 + 8.24840i 0.400060 + 0.916489i
\(82\) 5.11682 0.565058
\(83\) 12.0272 5.35485i 1.32015 0.587771i 0.378890 0.925442i \(-0.376306\pi\)
0.941264 + 0.337671i \(0.109639\pi\)
\(84\) −5.93973 16.8710i −0.648077 1.84078i
\(85\) −0.0260011 + 0.0632637i −0.00282022 + 0.00686191i
\(86\) −1.09826 + 1.21974i −0.118428 + 0.131528i
\(87\) −5.58769 1.04616i −0.599063 0.112161i
\(88\) −30.8570 34.2701i −3.28936 3.65321i
\(89\) 1.99904 + 6.15242i 0.211898 + 0.652155i 0.999359 + 0.0357910i \(0.0113951\pi\)
−0.787461 + 0.616364i \(0.788605\pi\)
\(90\) 9.30707 15.1572i 0.981051 1.59770i
\(91\) 1.32485 4.07747i 0.138882 0.427435i
\(92\) −18.5132 + 8.24263i −1.93014 + 0.859353i
\(93\) 5.14015 + 2.14011i 0.533008 + 0.221919i
\(94\) 0.719149 6.84224i 0.0741745 0.705724i
\(95\) −5.56867 + 13.5492i −0.571333 + 1.39012i
\(96\) −23.1523 + 5.51372i −2.36297 + 0.562742i
\(97\) 1.06825 + 10.1637i 0.108464 + 1.03196i 0.904430 + 0.426623i \(0.140297\pi\)
−0.795966 + 0.605342i \(0.793036\pi\)
\(98\) −2.28241 7.02454i −0.230558 0.709585i
\(99\) −12.1310 12.2198i −1.21921 1.22814i
\(100\) −25.1091 + 1.45440i −2.51091 + 0.145440i
\(101\) −1.06922 + 1.85194i −0.106391 + 0.184275i −0.914306 0.405025i \(-0.867263\pi\)
0.807915 + 0.589300i \(0.200596\pi\)
\(102\) 0.126903 0.0602458i 0.0125653 0.00596522i
\(103\) −1.10330 0.491221i −0.108711 0.0484014i 0.351660 0.936128i \(-0.385617\pi\)
−0.460372 + 0.887726i \(0.652284\pi\)
\(104\) −15.3289 6.82487i −1.50312 0.669234i
\(105\) −4.32415 + 6.67211i −0.421994 + 0.651131i
\(106\) 8.50133 3.78504i 0.825722 0.367635i
\(107\) −11.1600 −1.07887 −0.539437 0.842026i \(-0.681363\pi\)
−0.539437 + 0.842026i \(0.681363\pi\)
\(108\) −25.1018 + 7.28631i −2.41542 + 0.701125i
\(109\) 2.86190 8.80802i 0.274120 0.843655i −0.715331 0.698786i \(-0.753724\pi\)
0.989451 0.144869i \(-0.0462761\pi\)
\(110\) −6.10930 + 33.4762i −0.582499 + 3.19183i
\(111\) −6.36233 4.38982i −0.603886 0.416663i
\(112\) 22.5759 4.79866i 2.13322 0.453431i
\(113\) 8.55043 1.81745i 0.804357 0.170971i 0.212654 0.977128i \(-0.431789\pi\)
0.591703 + 0.806156i \(0.298456\pi\)
\(114\) 27.1789 12.9029i 2.54553 1.20846i
\(115\) 7.92854 + 4.27667i 0.739340 + 0.398801i
\(116\) 5.10181 15.7018i 0.473691 1.45787i
\(117\) −5.84091 2.26660i −0.539992 0.209547i
\(118\) −21.5410 −1.98301
\(119\) −0.0573663 + 0.0255411i −0.00525876 + 0.00234135i
\(120\) 24.2011 + 19.5606i 2.20925 + 1.78563i
\(121\) 20.0457 + 8.92494i 1.82234 + 0.811358i
\(122\) −19.9768 8.89425i −1.80862 0.805248i
\(123\) −0.268330 + 3.33175i −0.0241945 + 0.300413i
\(124\) −8.08513 + 14.0039i −0.726066 + 1.25758i
\(125\) 7.33092 + 8.44142i 0.655698 + 0.755024i
\(126\) 15.7884 4.16880i 1.40654 0.371387i
\(127\) −0.411180 1.26548i −0.0364863 0.112293i 0.931155 0.364625i \(-0.118803\pi\)
−0.967641 + 0.252331i \(0.918803\pi\)
\(128\) −0.992989 9.44766i −0.0877687 0.835063i
\(129\) −0.736621 0.779078i −0.0648559 0.0685940i
\(130\) 2.92360 + 12.0318i 0.256417 + 1.05526i
\(131\) 1.77837 16.9200i 0.155377 1.47831i −0.587686 0.809089i \(-0.699961\pi\)
0.743062 0.669222i \(-0.233373\pi\)
\(132\) 39.7286 30.3698i 3.45793 2.64335i
\(133\) −12.2862 + 5.47015i −1.06534 + 0.474322i
\(134\) −0.576634 + 1.77470i −0.0498136 + 0.153310i
\(135\) 9.38130 + 6.85502i 0.807413 + 0.589986i
\(136\) 0.0759462 + 0.233738i 0.00651233 + 0.0200429i
\(137\) 3.32795 + 3.69607i 0.284326 + 0.315776i 0.868342 0.495966i \(-0.165186\pi\)
−0.584016 + 0.811742i \(0.698519\pi\)
\(138\) −6.14414 17.4516i −0.523024 1.48558i
\(139\) −8.86185 + 9.84208i −0.751652 + 0.834794i −0.990679 0.136219i \(-0.956505\pi\)
0.239027 + 0.971013i \(0.423172\pi\)
\(140\) −17.5995 14.9479i −1.48743 1.26333i
\(141\) 4.41752 + 0.827076i 0.372022 + 0.0696524i
\(142\) −11.4138 + 5.08174i −0.957822 + 0.426450i
\(143\) 11.9867 1.00238
\(144\) −5.15473 33.3323i −0.429561 2.77769i
\(145\) −6.91131 + 2.46883i −0.573953 + 0.205025i
\(146\) −2.28942 21.7824i −0.189474 1.80272i
\(147\) 4.69362 1.11779i 0.387123 0.0921935i
\(148\) 15.0213 16.6828i 1.23474 1.37132i
\(149\) 7.12203 + 12.3357i 0.583459 + 1.01058i 0.995066 + 0.0992193i \(0.0316345\pi\)
−0.411606 + 0.911362i \(0.635032\pi\)
\(150\) 0.516735 22.9565i 0.0421913 1.87439i
\(151\) 9.46978 16.4021i 0.770640 1.33479i −0.166573 0.986029i \(-0.553270\pi\)
0.937213 0.348758i \(-0.113397\pi\)
\(152\) 16.2654 + 50.0598i 1.31930 + 4.06038i
\(153\) 0.0325733 + 0.0857905i 0.00263340 + 0.00693575i
\(154\) −25.2748 + 18.3632i −2.03670 + 1.47975i
\(155\) 7.12399 0.957823i 0.572212 0.0769342i
\(156\) 8.71138 15.9748i 0.697469 1.27901i
\(157\) 4.74777 + 8.22338i 0.378913 + 0.656297i 0.990904 0.134567i \(-0.0429645\pi\)
−0.611991 + 0.790865i \(0.709631\pi\)
\(158\) −3.32881 + 31.6715i −0.264826 + 2.51965i
\(159\) 2.01876 + 5.73401i 0.160098 + 0.454737i
\(160\) −22.2292 + 21.2111i −1.75737 + 1.67689i
\(161\) 2.55571 + 7.86566i 0.201418 + 0.619901i
\(162\) −4.79099 23.3773i −0.376415 1.83669i
\(163\) −2.92027 + 8.98768i −0.228733 + 0.703969i 0.769158 + 0.639059i \(0.220676\pi\)
−0.997891 + 0.0649101i \(0.979324\pi\)
\(164\) −9.49529 2.01829i −0.741458 0.157602i
\(165\) −21.4772 5.73350i −1.67200 0.446352i
\(166\) −34.1447 + 7.25768i −2.65014 + 0.563305i
\(167\) 1.55302 14.7760i 0.120176 1.14340i −0.753689 0.657231i \(-0.771727\pi\)
0.873865 0.486169i \(-0.161606\pi\)
\(168\) 3.67727 + 28.3309i 0.283708 + 2.18578i
\(169\) −7.89164 + 3.51359i −0.607050 + 0.270276i
\(170\) 0.102310 0.149742i 0.00784680 0.0114847i
\(171\) 6.97623 + 18.3738i 0.533486 + 1.40508i
\(172\) 2.51915 1.83027i 0.192083 0.139557i
\(173\) −6.49513 1.38058i −0.493815 0.104964i −0.0457288 0.998954i \(-0.514561\pi\)
−0.448086 + 0.893990i \(0.647894\pi\)
\(174\) 13.9151 + 5.79357i 1.05490 + 0.439209i
\(175\) −0.480830 + 10.2532i −0.0363473 + 0.775067i
\(176\) 32.2646 + 55.8839i 2.43203 + 4.21241i
\(177\) 1.12963 14.0261i 0.0849080 1.05427i
\(178\) −1.79291 17.0584i −0.134385 1.27858i
\(179\) −3.95088 + 2.87048i −0.295303 + 0.214550i −0.725564 0.688154i \(-0.758421\pi\)
0.430262 + 0.902704i \(0.358421\pi\)
\(180\) −23.2497 + 24.4561i −1.73293 + 1.82285i
\(181\) 8.58407 + 6.23669i 0.638049 + 0.463570i 0.859179 0.511675i \(-0.170975\pi\)
−0.221131 + 0.975244i \(0.570975\pi\)
\(182\) −5.68381 + 9.84464i −0.421312 + 0.729734i
\(183\) 6.83896 12.5412i 0.505551 0.927072i
\(184\) 31.6614 6.72984i 2.33411 0.496130i
\(185\) −9.95048 0.755600i −0.731574 0.0555528i
\(186\) −12.1513 8.38402i −0.890976 0.614747i
\(187\) −0.117477 0.130471i −0.00859077 0.00954101i
\(188\) −4.03339 + 12.4135i −0.294165 + 0.905347i
\(189\) 1.88650 + 10.4990i 0.137223 + 0.763688i
\(190\) 21.9117 32.0703i 1.58964 2.32662i
\(191\) −15.9877 17.7561i −1.15683 1.28479i −0.952038 0.305981i \(-0.901016\pi\)
−0.204790 0.978806i \(-0.565651\pi\)
\(192\) 24.1507 0.588326i 1.74292 0.0424588i
\(193\) −12.8260 22.2154i −0.923239 1.59910i −0.794369 0.607435i \(-0.792198\pi\)
−0.128870 0.991662i \(-0.541135\pi\)
\(194\) 2.83241 26.9486i 0.203355 1.93479i
\(195\) −7.98768 + 1.27270i −0.572010 + 0.0911400i
\(196\) 1.46470 + 13.9357i 0.104622 + 0.995409i
\(197\) 12.4362 9.03540i 0.886039 0.643745i −0.0488029 0.998808i \(-0.515541\pi\)
0.934842 + 0.355063i \(0.115541\pi\)
\(198\) 24.7255 + 38.3798i 1.75717 + 2.72753i
\(199\) −3.19201 −0.226275 −0.113138 0.993579i \(-0.536090\pi\)
−0.113138 + 0.993579i \(0.536090\pi\)
\(200\) 39.7122 + 6.06615i 2.80807 + 0.428941i
\(201\) −1.12533 0.468533i −0.0793746 0.0330478i
\(202\) 3.79395 4.21361i 0.266942 0.296469i
\(203\) −6.15529 2.74051i −0.432017 0.192346i
\(204\) −0.259258 + 0.0617423i −0.0181517 + 0.00432283i
\(205\) 1.86844 + 3.88971i 0.130497 + 0.271669i
\(206\) 2.59063 + 1.88221i 0.180498 + 0.131140i
\(207\) 11.6856 3.08549i 0.812204 0.214457i
\(208\) 18.9956 + 13.8011i 1.31711 + 0.956934i
\(209\) −25.1601 27.9431i −1.74036 1.93286i
\(210\) 14.8929 14.9205i 1.02771 1.02961i
\(211\) −17.7962 + 19.7647i −1.22514 + 1.36065i −0.313540 + 0.949575i \(0.601515\pi\)
−0.911599 + 0.411080i \(0.865152\pi\)
\(212\) −17.2689 + 3.67062i −1.18603 + 0.252099i
\(213\) −2.71035 7.69840i −0.185710 0.527486i
\(214\) 28.9436 + 6.15215i 1.97854 + 0.420552i
\(215\) −1.32826 0.389478i −0.0905863 0.0265622i
\(216\) 41.6374 3.04777i 2.83307 0.207374i
\(217\) 5.33890 + 3.87893i 0.362428 + 0.263319i
\(218\) −12.2780 + 21.2661i −0.831570 + 1.44032i
\(219\) 14.3034 0.348439i 0.966531 0.0235453i
\(220\) 24.5414 59.7121i 1.65458 4.02579i
\(221\) −0.0583594 0.0259833i −0.00392568 0.00174782i
\(222\) 14.0809 + 14.8924i 0.945045 + 0.999515i
\(223\) 16.7193 + 3.55379i 1.11960 + 0.237979i 0.730298 0.683129i \(-0.239381\pi\)
0.389306 + 0.921108i \(0.372715\pi\)
\(224\) −28.2083 −1.88475
\(225\) 14.9207 + 1.54032i 0.994714 + 0.102688i
\(226\) −23.1776 −1.54175
\(227\) 12.0554 + 2.56245i 0.800145 + 0.170076i 0.589798 0.807551i \(-0.299207\pi\)
0.210347 + 0.977627i \(0.432541\pi\)
\(228\) −55.5253 + 13.2234i −3.67725 + 0.875739i
\(229\) 18.7663 + 8.35530i 1.24011 + 0.552134i 0.918757 0.394824i \(-0.129195\pi\)
0.321356 + 0.946958i \(0.395861\pi\)
\(230\) −18.2052 15.4624i −1.20042 1.01956i
\(231\) −10.6315 17.4203i −0.699504 1.14617i
\(232\) −13.1852 + 22.8374i −0.865648 + 1.49935i
\(233\) −6.68678 4.85823i −0.438065 0.318273i 0.346800 0.937939i \(-0.387268\pi\)
−0.784866 + 0.619666i \(0.787268\pi\)
\(234\) 13.8990 + 9.09838i 0.908606 + 0.594780i
\(235\) 5.46394 1.95181i 0.356428 0.127322i
\(236\) 39.9737 + 8.49667i 2.60207 + 0.553086i
\(237\) −20.4479 3.82838i −1.32823 0.248680i
\(238\) 0.162861 0.0346171i 0.0105567 0.00224389i
\(239\) −12.0829 + 13.4195i −0.781580 + 0.868032i −0.994026 0.109141i \(-0.965190\pi\)
0.212447 + 0.977173i \(0.431857\pi\)
\(240\) −27.4340 33.8141i −1.77086 2.18269i
\(241\) 8.67315 + 9.63251i 0.558687 + 0.620484i 0.954631 0.297790i \(-0.0962495\pi\)
−0.395945 + 0.918274i \(0.629583\pi\)
\(242\) −47.0690 34.1976i −3.02571 2.19831i
\(243\) 15.4730 1.89366i 0.992594 0.121478i
\(244\) 33.5627 + 24.3848i 2.14863 + 1.56107i
\(245\) 4.50648 4.30010i 0.287908 0.274723i
\(246\) 2.53261 8.49303i 0.161473 0.541496i
\(247\) −12.4988 5.56484i −0.795282 0.354082i
\(248\) 17.2823 19.1939i 1.09743 1.21882i
\(249\) −2.93516 22.6134i −0.186008 1.43307i
\(250\) −14.3594 25.9343i −0.908167 1.64023i
\(251\) −8.02701 −0.506661 −0.253330 0.967380i \(-0.581526\pi\)
−0.253330 + 0.967380i \(0.581526\pi\)
\(252\) −30.9428 + 1.50847i −1.94921 + 0.0950247i
\(253\) −18.7069 + 13.5914i −1.17609 + 0.854481i
\(254\) 0.368782 + 3.50872i 0.0231394 + 0.220157i
\(255\) 0.0921372 + 0.0744702i 0.00576985 + 0.00466350i
\(256\) 0.282957 2.69215i 0.0176848 0.168260i
\(257\) 6.92454 + 11.9937i 0.431941 + 0.748144i 0.997040 0.0768792i \(-0.0244956\pi\)
−0.565100 + 0.825023i \(0.691162\pi\)
\(258\) 1.48096 + 2.42663i 0.0922005 + 0.151075i
\(259\) −6.13033 6.80842i −0.380920 0.423055i
\(260\) −0.679467 23.4807i −0.0421388 1.45621i
\(261\) −4.50212 + 8.75678i −0.278674 + 0.542031i
\(262\) −13.9397 + 42.9021i −0.861200 + 2.65050i
\(263\) −10.4760 11.6348i −0.645979 0.717432i 0.327846 0.944731i \(-0.393677\pi\)
−0.973825 + 0.227299i \(0.927011\pi\)
\(264\) −72.1553 + 34.2549i −4.44085 + 2.10824i
\(265\) 5.98162 + 5.08042i 0.367448 + 0.312087i
\(266\) 34.8799 7.41395i 2.13862 0.454579i
\(267\) 11.2014 0.272873i 0.685513 0.0166996i
\(268\) 1.77007 3.06586i 0.108124 0.187277i
\(269\) −5.63335 4.09287i −0.343472 0.249547i 0.402654 0.915352i \(-0.368088\pi\)
−0.746125 + 0.665806i \(0.768088\pi\)
\(270\) −20.5516 22.9502i −1.25073 1.39671i
\(271\) 14.6785 10.6646i 0.891658 0.647828i −0.0446517 0.999003i \(-0.514218\pi\)
0.936310 + 0.351175i \(0.114218\pi\)
\(272\) −0.0359478 0.342020i −0.00217965 0.0207380i
\(273\) −6.11214 4.21719i −0.369923 0.255236i
\(274\) −6.59358 11.4204i −0.398333 0.689933i
\(275\) −27.6788 + 7.57987i −1.66909 + 0.457083i
\(276\) 4.51805 + 34.8085i 0.271954 + 2.09522i
\(277\) 15.3604 + 3.26495i 0.922916 + 0.196172i 0.644779 0.764369i \(-0.276950\pi\)
0.278138 + 0.960541i \(0.410283\pi\)
\(278\) 28.4090 20.6404i 1.70386 1.23793i
\(279\) 6.09636 7.47247i 0.364980 0.447365i
\(280\) 22.5326 + 29.1985i 1.34658 + 1.74494i
\(281\) −17.6073 + 7.83927i −1.05036 + 0.467651i −0.857988 0.513670i \(-0.828286\pi\)
−0.192375 + 0.981322i \(0.561619\pi\)
\(282\) −11.0010 4.58028i −0.655099 0.272752i
\(283\) −0.661298 + 6.29183i −0.0393101 + 0.374010i 0.957127 + 0.289669i \(0.0935453\pi\)
−0.996437 + 0.0843413i \(0.973121\pi\)
\(284\) 23.1850 4.92812i 1.37578 0.292430i
\(285\) 19.7330 + 15.9493i 1.16888 + 0.944754i
\(286\) −31.0877 6.60790i −1.83825 0.390733i
\(287\) −1.22423 + 3.76779i −0.0722640 + 0.222406i
\(288\) −2.30758 + 41.1578i −0.135976 + 2.42525i
\(289\) −5.25300 16.1671i −0.309000 0.951004i
\(290\) 19.2856 2.59296i 1.13249 0.152264i
\(291\) 17.3986 + 3.25749i 1.01993 + 0.190957i
\(292\) −4.34340 + 41.3247i −0.254178 + 2.41834i
\(293\) 11.3054 + 19.5815i 0.660467 + 1.14396i 0.980493 + 0.196554i \(0.0629752\pi\)
−0.320026 + 0.947409i \(0.603691\pi\)
\(294\) −12.7892 + 0.311553i −0.745881 + 0.0181702i
\(295\) −7.86584 16.3751i −0.457967 0.953393i
\(296\) −29.0086 + 21.0760i −1.68609 + 1.22502i
\(297\) −26.2871 + 14.0870i −1.52533 + 0.817412i
\(298\) −11.6708 35.9191i −0.676072 2.08074i
\(299\) −4.20681 + 7.28640i −0.243286 + 0.421384i
\(300\) −10.0139 + 42.3966i −0.578153 + 2.44777i
\(301\) −0.635394 1.10053i −0.0366235 0.0634338i
\(302\) −33.6021 + 37.3189i −1.93358 + 2.14746i
\(303\) 2.54468 + 2.69134i 0.146188 + 0.154614i
\(304\) −7.69894 73.2505i −0.441564 4.20121i
\(305\) −0.533423 18.4338i −0.0305437 1.05551i
\(306\) −0.0371858 0.240456i −0.00212577 0.0137460i
\(307\) 1.98814 0.113469 0.0567346 0.998389i \(-0.481931\pi\)
0.0567346 + 0.998389i \(0.481931\pi\)
\(308\) 54.1458 24.1072i 3.08524 1.37364i
\(309\) −1.36143 + 1.58815i −0.0774489 + 0.0903468i
\(310\) −19.0042 1.44310i −1.07937 0.0819628i
\(311\) 5.89093 6.54254i 0.334044 0.370993i −0.552600 0.833447i \(-0.686364\pi\)
0.886644 + 0.462454i \(0.153031\pi\)
\(312\) −18.9152 + 22.0653i −1.07086 + 1.24920i
\(313\) 21.9681 + 24.3980i 1.24171 + 1.37906i 0.898009 + 0.439977i \(0.145013\pi\)
0.343699 + 0.939080i \(0.388320\pi\)
\(314\) −7.78014 23.9448i −0.439059 1.35128i
\(315\) 8.93426 + 10.4797i 0.503388 + 0.590466i
\(316\) 18.6698 57.4598i 1.05026 3.23237i
\(317\) 14.2770 6.35653i 0.801876 0.357018i 0.0354668 0.999371i \(-0.488708\pi\)
0.766409 + 0.642353i \(0.222042\pi\)
\(318\) −2.07470 15.9841i −0.116343 0.896347i
\(319\) 1.96910 18.7347i 0.110249 1.04894i
\(320\) 26.5469 16.3685i 1.48402 0.915029i
\(321\) −5.52371 + 18.5236i −0.308303 + 1.03389i
\(322\) −2.29218 21.8086i −0.127738 1.21535i
\(323\) 0.0619248 + 0.190585i 0.00344559 + 0.0106044i
\(324\) −0.330319 + 45.2710i −0.0183511 + 2.51505i
\(325\) −8.07880 + 6.61596i −0.448131 + 0.366988i
\(326\) 12.5284 21.6999i 0.693885 1.20184i
\(327\) −13.2032 9.10984i −0.730141 0.503776i
\(328\) 14.1647 + 6.30653i 0.782115 + 0.348220i
\(329\) 4.86625 + 2.16660i 0.268285 + 0.119448i
\(330\) 52.5408 + 26.7097i 2.89227 + 1.47032i
\(331\) −19.7512 + 8.79380i −1.08562 + 0.483351i −0.869963 0.493117i \(-0.835857\pi\)
−0.215662 + 0.976468i \(0.569191\pi\)
\(332\) 66.2251 3.63457
\(333\) −10.4354 + 8.38758i −0.571857 + 0.459637i
\(334\) −12.1733 + 37.4657i −0.666095 + 2.05003i
\(335\) −1.55965 + 0.209696i −0.0852128 + 0.0114569i
\(336\) 3.20919 39.8472i 0.175076 2.17384i
\(337\) −13.9270 + 2.96027i −0.758651 + 0.161256i −0.570967 0.820973i \(-0.693431\pi\)
−0.187684 + 0.982229i \(0.560098\pi\)
\(338\) 22.4041 4.76213i 1.21862 0.259026i
\(339\) 1.21545 15.0918i 0.0660143 0.819673i
\(340\) −0.248921 + 0.237521i −0.0134996 + 0.0128814i
\(341\) −5.70153 + 17.5475i −0.308755 + 0.950250i
\(342\) −7.96409 51.4985i −0.430648 2.78472i
\(343\) 20.0888 1.08470
\(344\) −4.54360 + 2.02294i −0.244974 + 0.109070i
\(345\) 11.0228 11.0432i 0.593448 0.594547i
\(346\) 16.0842 + 7.16113i 0.864690 + 0.384985i
\(347\) 17.3445 + 7.72226i 0.931100 + 0.414553i 0.815509 0.578744i \(-0.196457\pi\)
0.115591 + 0.993297i \(0.463124\pi\)
\(348\) −23.5370 16.2398i −1.26171 0.870545i
\(349\) −1.26140 + 2.18481i −0.0675211 + 0.116950i −0.897810 0.440384i \(-0.854842\pi\)
0.830288 + 0.557334i \(0.188176\pi\)
\(350\) 6.89930 26.3267i 0.368783 1.40722i
\(351\) −6.65316 + 8.57301i −0.355119 + 0.457594i
\(352\) −24.3711 75.0065i −1.29898 3.99786i
\(353\) −0.463649 4.41132i −0.0246775 0.234791i −0.999908 0.0135978i \(-0.995672\pi\)
0.975230 0.221193i \(-0.0709951\pi\)
\(354\) −10.6619 + 35.7543i −0.566673 + 1.90032i
\(355\) −8.03085 6.82090i −0.426233 0.362016i
\(356\) −3.40144 + 32.3625i −0.180276 + 1.71521i
\(357\) 0.0139999 + 0.107860i 0.000740954 + 0.00570855i
\(358\) 11.8291 5.26665i 0.625187 0.278351i
\(359\) −10.5484 + 32.4646i −0.556722 + 1.71341i 0.134630 + 0.990896i \(0.457015\pi\)
−0.691352 + 0.722518i \(0.742985\pi\)
\(360\) 44.4457 30.4879i 2.34250 1.60685i
\(361\) 7.39111 + 22.7475i 0.389006 + 1.19724i
\(362\) −18.8248 20.9071i −0.989412 1.09885i
\(363\) 24.7356 28.8550i 1.29828 1.51449i
\(364\) 14.4306 16.0268i 0.756368 0.840032i
\(365\) 15.7226 9.69435i 0.822956 0.507425i
\(366\) −24.6506 + 28.7557i −1.28851 + 1.50309i
\(367\) 9.93344 4.42265i 0.518521 0.230861i −0.130753 0.991415i \(-0.541739\pi\)
0.649274 + 0.760554i \(0.275073\pi\)
\(368\) −45.2939 −2.36111
\(369\) 5.39730 + 2.09445i 0.280972 + 0.109033i
\(370\) 25.3902 + 7.44506i 1.31997 + 0.387050i
\(371\) 0.753133 + 7.16558i 0.0391007 + 0.372018i
\(372\) 19.2422 + 20.3512i 0.997659 + 1.05516i
\(373\) −16.2843 + 18.0855i −0.843168 + 0.936433i −0.998678 0.0514011i \(-0.983631\pi\)
0.155510 + 0.987834i \(0.450298\pi\)
\(374\) 0.232754 + 0.403141i 0.0120354 + 0.0208459i
\(375\) 17.6398 7.98990i 0.910914 0.412597i
\(376\) 10.4239 18.0548i 0.537573 0.931104i
\(377\) −2.11814 6.51896i −0.109090 0.335744i
\(378\) 0.895084 28.2693i 0.0460382 1.45401i
\(379\) −4.12810 + 2.99924i −0.212046 + 0.154061i −0.688739 0.725009i \(-0.741835\pi\)
0.476693 + 0.879070i \(0.341835\pi\)
\(380\) −53.3114 + 50.8699i −2.73482 + 2.60957i
\(381\) −2.30399 + 0.0561268i −0.118037 + 0.00287546i
\(382\) 31.6759 + 54.8643i 1.62068 + 2.80710i
\(383\) 2.14547 20.4128i 0.109628 1.04304i −0.791997 0.610525i \(-0.790958\pi\)
0.901625 0.432518i \(-0.142375\pi\)
\(384\) −16.1729 3.02800i −0.825322 0.154522i
\(385\) −23.1886 12.5080i −1.18180 0.637466i
\(386\) 21.0179 + 64.6866i 1.06979 + 3.29246i
\(387\) −1.65773 + 0.837051i −0.0842671 + 0.0425497i
\(388\) −15.8857 + 48.8913i −0.806476 + 2.48208i
\(389\) 11.6762 + 2.48186i 0.592008 + 0.125835i 0.494167 0.869367i \(-0.335473\pi\)
0.0978410 + 0.995202i \(0.468806\pi\)
\(390\) 21.4178 + 1.10259i 1.08453 + 0.0558319i
\(391\) 0.120540 0.0256215i 0.00609595 0.00129573i
\(392\) 2.33950 22.2589i 0.118163 1.12424i
\(393\) −27.2041 11.3265i −1.37226 0.571346i
\(394\) −37.2343 + 16.5778i −1.87584 + 0.835177i
\(395\) −25.2916 + 9.03455i −1.27256 + 0.454577i
\(396\) −30.7446 80.9742i −1.54498 4.06911i
\(397\) −11.3426 + 8.24087i −0.569268 + 0.413597i −0.834839 0.550494i \(-0.814439\pi\)
0.265571 + 0.964091i \(0.414439\pi\)
\(398\) 8.27853 + 1.75966i 0.414965 + 0.0882036i
\(399\) 2.99836 + 23.1004i 0.150106 + 1.15646i
\(400\) −52.5904 19.8565i −2.62952 0.992825i
\(401\) −0.970609 1.68114i −0.0484699 0.0839523i 0.840773 0.541388i \(-0.182101\pi\)
−0.889242 + 0.457436i \(0.848768\pi\)
\(402\) 2.66028 + 1.83551i 0.132682 + 0.0915469i
\(403\) 0.701749 + 6.67670i 0.0349566 + 0.332590i
\(404\) −8.70247 + 6.32271i −0.432964 + 0.314567i
\(405\) 16.0215 12.1784i 0.796113 0.605148i
\(406\) 14.4531 + 10.5008i 0.717296 + 0.521146i
\(407\) 12.8073 22.1829i 0.634835 1.09957i
\(408\) 0.425555 0.0103668i 0.0210681 0.000513233i
\(409\) −10.7137 + 2.27726i −0.529757 + 0.112603i −0.465022 0.885299i \(-0.653953\pi\)
−0.0647348 + 0.997903i \(0.520620\pi\)
\(410\) −2.70156 11.1180i −0.133420 0.549081i
\(411\) 7.78202 3.69442i 0.383859 0.182232i
\(412\) −4.06502 4.51467i −0.200269 0.222422i
\(413\) 5.15382 15.8618i 0.253603 0.780509i
\(414\) −32.0077 + 1.56038i −1.57309 + 0.0766887i
\(415\) −17.9853 23.3059i −0.882863 1.14404i
\(416\) −19.2018 21.3258i −0.941446 1.04558i
\(417\) 11.9499 + 19.5805i 0.585188 + 0.958862i
\(418\) 49.8489 + 86.3409i 2.43819 + 4.22307i
\(419\) −1.73963 + 16.5515i −0.0849865 + 0.808593i 0.866142 + 0.499798i \(0.166592\pi\)
−0.951129 + 0.308795i \(0.900074\pi\)
\(420\) −33.5220 + 21.8136i −1.63571 + 1.06439i
\(421\) −0.804767 7.65685i −0.0392220 0.373172i −0.996473 0.0839137i \(-0.973258\pi\)
0.957251 0.289258i \(-0.0934087\pi\)
\(422\) 57.0504 41.4495i 2.77717 2.01773i
\(423\) 3.55928 6.92294i 0.173058 0.336605i
\(424\) 28.1990 1.36946
\(425\) 0.151190 + 0.0230947i 0.00733379 + 0.00112026i
\(426\) 2.78546 + 21.4601i 0.134956 + 1.03975i
\(427\) 11.3289 12.5820i 0.548243 0.608886i
\(428\) −51.2840 22.8331i −2.47890 1.10368i
\(429\) 5.93290 19.8958i 0.286443 0.960578i
\(430\) 3.23015 + 1.74235i 0.155772 + 0.0840234i
\(431\) −26.1475 18.9973i −1.25948 0.915066i −0.260748 0.965407i \(-0.583969\pi\)
−0.998732 + 0.0503406i \(0.983969\pi\)
\(432\) −57.8771 7.94211i −2.78461 0.382115i
\(433\) −25.4573 18.4958i −1.22340 0.888852i −0.227022 0.973890i \(-0.572899\pi\)
−0.996378 + 0.0850377i \(0.972899\pi\)
\(434\) −11.7082 13.0033i −0.562011 0.624177i
\(435\) 0.677016 + 12.6935i 0.0324604 + 0.608608i
\(436\) 31.1725 34.6206i 1.49289 1.65802i
\(437\) 25.8160 5.48736i 1.23495 0.262496i
\(438\) −37.2881 6.98132i −1.78170 0.333580i
\(439\) 17.7158 + 3.76561i 0.845530 + 0.179723i 0.610254 0.792206i \(-0.291067\pi\)
0.235276 + 0.971929i \(0.424401\pi\)
\(440\) −58.1719 + 85.1411i −2.77324 + 4.05894i
\(441\) 0.467812 8.34384i 0.0222767 0.397326i
\(442\) 0.137032 + 0.0995598i 0.00651797 + 0.00473558i
\(443\) −19.3559 + 33.5254i −0.919626 + 1.59284i −0.119642 + 0.992817i \(0.538175\pi\)
−0.799984 + 0.600022i \(0.795159\pi\)
\(444\) −20.2557 33.1900i −0.961292 1.57513i
\(445\) 12.3128 7.59193i 0.583682 0.359892i
\(446\) −41.4026 18.4336i −1.96047 0.872858i
\(447\) 24.0002 5.71566i 1.13517 0.270342i
\(448\) 28.0070 + 5.95308i 1.32321 + 0.281256i
\(449\) −4.76841 −0.225035 −0.112518 0.993650i \(-0.535891\pi\)
−0.112518 + 0.993650i \(0.535891\pi\)
\(450\) −37.8480 12.2202i −1.78417 0.576065i
\(451\) −11.0763 −0.521564
\(452\) 43.0107 + 9.14221i 2.02305 + 0.430014i
\(453\) −22.5375 23.8365i −1.05891 1.11994i
\(454\) −29.8533 13.2915i −1.40109 0.623803i
\(455\) −9.55918 0.725886i −0.448141 0.0340301i
\(456\) 91.1411 2.22026i 4.26807 0.103973i
\(457\) 2.37786 4.11857i 0.111232 0.192659i −0.805035 0.593227i \(-0.797854\pi\)
0.916267 + 0.400568i \(0.131187\pi\)
\(458\) −44.0648 32.0149i −2.05901 1.49596i
\(459\) 0.158520 0.0116033i 0.00739906 0.000541595i
\(460\) 27.6845 + 35.8744i 1.29079 + 1.67265i
\(461\) −8.66085 1.84092i −0.403376 0.0857402i 0.00175591 0.999998i \(-0.499441\pi\)
−0.405132 + 0.914258i \(0.632774\pi\)
\(462\) 17.9698 + 51.0408i 0.836030 + 2.37463i
\(463\) −1.51448 + 0.321912i −0.0703838 + 0.0149605i −0.242969 0.970034i \(-0.578121\pi\)
0.172585 + 0.984995i \(0.444788\pi\)
\(464\) 24.6911 27.4222i 1.14625 1.27304i
\(465\) 1.93625 12.2986i 0.0897916 0.570336i
\(466\) 14.6641 + 16.2861i 0.679301 + 0.754440i
\(467\) 27.9575 + 20.3123i 1.29372 + 0.939942i 0.999873 0.0159111i \(-0.00506487\pi\)
0.293846 + 0.955853i \(0.405065\pi\)
\(468\) −22.2036 22.3662i −1.02636 1.03388i
\(469\) −1.16884 0.849213i −0.0539721 0.0392130i
\(470\) −15.2468 + 2.04994i −0.703283 + 0.0945567i
\(471\) 15.9993 3.81024i 0.737210 0.175567i
\(472\) −59.6312 26.5495i −2.74475 1.22204i
\(473\) 2.37738 2.64035i 0.109312 0.121403i
\(474\) 50.9215 + 21.2013i 2.33890 + 0.973807i
\(475\) 32.3804 + 4.94619i 1.48571 + 0.226947i
\(476\) −0.315875 −0.0144781
\(477\) 10.5167 0.512689i 0.481524 0.0234744i
\(478\) 38.7350 28.1427i 1.77170 1.28722i
\(479\) 2.55709 + 24.3290i 0.116836 + 1.11162i 0.883129 + 0.469131i \(0.155433\pi\)
−0.766293 + 0.642492i \(0.777901\pi\)
\(480\) 24.2043 + 47.3951i 1.10477 + 2.16328i
\(481\) 0.974229 9.26917i 0.0444210 0.422638i
\(482\) −17.1839 29.7633i −0.782704 1.35568i
\(483\) 14.3206 0.348859i 0.651609 0.0158736i
\(484\) 73.8570 + 82.0265i 3.35714 + 3.72848i
\(485\) 21.5200 7.68730i 0.977175 0.349062i
\(486\) −41.1735 3.61855i −1.86767 0.164141i
\(487\) 1.67643 5.15952i 0.0759663 0.233800i −0.905862 0.423574i \(-0.860775\pi\)
0.981828 + 0.189774i \(0.0607754\pi\)
\(488\) −44.3388 49.2432i −2.00712 2.22914i
\(489\) 13.4726 + 9.29566i 0.609250 + 0.420364i
\(490\) −14.0582 + 8.66810i −0.635083 + 0.391585i
\(491\) −21.5355 + 4.57751i −0.971883 + 0.206580i −0.666381 0.745611i \(-0.732158\pi\)
−0.305502 + 0.952191i \(0.598824\pi\)
\(492\) −8.04977 + 14.7616i −0.362912 + 0.665502i
\(493\) −0.0501978 + 0.0869451i −0.00226080 + 0.00391581i
\(494\) 29.3482 + 21.3227i 1.32044 + 0.959356i
\(495\) −20.1469 + 32.8105i −0.905535 + 1.47472i
\(496\) −29.2390 + 21.2433i −1.31287 + 0.953854i
\(497\) −1.01115 9.62041i −0.0453561 0.431534i
\(498\) −4.85370 + 60.2664i −0.217499 + 2.70060i
\(499\) −20.3177 35.1912i −0.909544 1.57538i −0.814699 0.579884i \(-0.803098\pi\)
−0.0948451 0.995492i \(-0.530236\pi\)
\(500\) 16.4172 + 53.7902i 0.734198 + 2.40557i
\(501\) −23.7569 9.89122i −1.06138 0.441907i
\(502\) 20.8182 + 4.42505i 0.929162 + 0.197500i
\(503\) 32.8363 23.8569i 1.46410 1.06373i 0.481825 0.876268i \(-0.339974\pi\)
0.982272 0.187461i \(-0.0600258\pi\)
\(504\) 48.8444 + 7.91896i 2.17570 + 0.352739i
\(505\) 4.58849 + 1.34546i 0.204185 + 0.0598723i
\(506\) 56.0092 24.9369i 2.48991 1.10858i
\(507\) 1.92591 + 14.8378i 0.0855326 + 0.658971i
\(508\) 0.699637 6.65660i 0.0310414 0.295339i
\(509\) 43.4149 9.22813i 1.92433 0.409030i 0.924737 0.380606i \(-0.124284\pi\)
0.999596 0.0284240i \(-0.00904887\pi\)
\(510\) −0.197906 0.243932i −0.00876344 0.0108015i
\(511\) 16.5873 + 3.52574i 0.733779 + 0.155970i
\(512\) −8.08909 + 24.8957i −0.357491 + 1.10024i
\(513\) 33.9502 2.48508i 1.49894 0.109719i
\(514\) −11.3472 34.9231i −0.500503 1.54039i
\(515\) −0.484830 + 2.65665i −0.0213642 + 0.117066i
\(516\) −1.79105 5.08725i −0.0788468 0.223954i
\(517\) −1.55673 + 14.8113i −0.0684650 + 0.651401i
\(518\) 12.1459 + 21.0372i 0.533658 + 0.924323i
\(519\) −5.50633 + 10.0974i −0.241701 + 0.443228i
\(520\) −6.73608 + 36.9107i −0.295397 + 1.61864i
\(521\) −7.98161 + 5.79898i −0.349681 + 0.254058i −0.748735 0.662869i \(-0.769338\pi\)
0.399054 + 0.916927i \(0.369338\pi\)
\(522\) 16.5037 20.2290i 0.722346 0.885399i
\(523\) −2.46257 7.57903i −0.107681 0.331408i 0.882669 0.469994i \(-0.155744\pi\)
−0.990350 + 0.138587i \(0.955744\pi\)
\(524\) 42.7904 74.1151i 1.86931 3.23773i
\(525\) 16.7805 + 5.87298i 0.732360 + 0.256318i
\(526\) 20.7558 + 35.9502i 0.904998 + 1.56750i
\(527\) 0.0657962 0.0730741i 0.00286613 0.00318316i
\(528\) 108.727 25.8934i 4.73174 1.12687i
\(529\) 0.707623 + 6.73259i 0.0307662 + 0.292721i
\(530\) −12.7128 16.4736i −0.552208 0.715569i
\(531\) −22.7218 8.81732i −0.986042 0.382639i
\(532\) −67.6511 −2.93305
\(533\) −3.68184 + 1.63926i −0.159478 + 0.0710042i
\(534\) −29.2014 5.46728i −1.26367 0.236592i
\(535\) 5.89218 + 24.2488i 0.254741 + 1.04837i
\(536\) −3.78360 + 4.20212i −0.163427 + 0.181504i
\(537\) 2.80898 + 7.97853i 0.121216 + 0.344299i
\(538\) 12.3539 + 13.7204i 0.532616 + 0.591530i
\(539\) 4.94071 + 15.2059i 0.212811 + 0.654966i
\(540\) 29.0851 + 50.6952i 1.25162 + 2.18157i
\(541\) −3.72498 + 11.4643i −0.160149 + 0.492889i −0.998646 0.0520177i \(-0.983435\pi\)
0.838497 + 0.544906i \(0.183435\pi\)
\(542\) −43.9481 + 19.5670i −1.88773 + 0.840474i
\(543\) 14.6006 11.1611i 0.626570 0.478971i
\(544\) −0.0439348 + 0.418011i −0.00188369 + 0.0179221i
\(545\) −20.6494 1.56804i −0.884525 0.0671673i
\(546\) 13.5271 + 14.3068i 0.578908 + 0.612275i
\(547\) −0.130795 1.24443i −0.00559239 0.0532080i 0.991370 0.131095i \(-0.0418493\pi\)
−0.996962 + 0.0778871i \(0.975183\pi\)
\(548\) 7.73103 + 23.7937i 0.330253 + 1.01642i
\(549\) −17.4312 17.5588i −0.743945 0.749393i
\(550\) 75.9640 4.40007i 3.23912 0.187620i
\(551\) −10.7509 + 18.6211i −0.458003 + 0.793284i
\(552\) 4.50070 55.8834i 0.191562 2.37855i
\(553\) −22.5250 10.0288i −0.957860 0.426467i
\(554\) −38.0376 16.9354i −1.61606 0.719518i
\(555\) −6.17923 + 16.1421i −0.262294 + 0.685192i
\(556\) −60.8600 + 27.0966i −2.58104 + 1.14915i
\(557\) −44.8687 −1.90115 −0.950574 0.310498i \(-0.899504\pi\)
−0.950574 + 0.310498i \(0.899504\pi\)
\(558\) −19.9304 + 16.0193i −0.843720 + 0.678150i
\(559\) 0.399493 1.22951i 0.0168967 0.0520028i
\(560\) −22.3463 46.5203i −0.944302 1.96584i
\(561\) −0.274706 + 0.130413i −0.0115981 + 0.00550606i
\(562\) 49.9864 10.6249i 2.10855 0.448186i
\(563\) −38.3393 + 8.14927i −1.61581 + 0.343451i −0.925112 0.379693i \(-0.876029\pi\)
−0.690697 + 0.723144i \(0.742696\pi\)
\(564\) 18.6079 + 12.8389i 0.783533 + 0.540614i
\(565\) −8.46345 17.6192i −0.356060 0.741244i
\(566\) 5.18358 15.9534i 0.217882 0.670573i
\(567\) 18.3602 + 2.06528i 0.771056 + 0.0867338i
\(568\) −37.8596 −1.58855
\(569\) −23.6982 + 10.5511i −0.993480 + 0.442326i −0.838093 0.545528i \(-0.816329\pi\)
−0.155387 + 0.987854i \(0.549663\pi\)
\(570\) −42.3856 52.2430i −1.77534 2.18822i
\(571\) 9.92558 + 4.41915i 0.415373 + 0.184936i 0.603773 0.797157i \(-0.293663\pi\)
−0.188400 + 0.982092i \(0.560330\pi\)
\(572\) 55.0831 + 24.5246i 2.30314 + 1.02542i
\(573\) −37.3852 + 17.7482i −1.56179 + 0.741442i
\(574\) 5.25213 9.09696i 0.219220 0.379700i
\(575\) 5.10644 19.4854i 0.212953 0.812599i
\(576\) 10.9770 40.3771i 0.457376 1.68238i
\(577\) −1.77776 5.47137i −0.0740090 0.227776i 0.907208 0.420681i \(-0.138209\pi\)
−0.981217 + 0.192905i \(0.938209\pi\)
\(578\) 4.71134 + 44.8254i 0.195966 + 1.86449i
\(579\) −43.2219 + 10.2933i −1.79624 + 0.427776i
\(580\) −36.8111 2.79529i −1.52850 0.116068i
\(581\) 2.82510 26.8790i 0.117205 1.11513i
\(582\) −43.3280 18.0397i −1.79600 0.747770i
\(583\) −18.4027 + 8.19342i −0.762163 + 0.339337i
\(584\) 20.5093 63.1211i 0.848680 2.61197i
\(585\) −1.84110 + 13.8881i −0.0761202 + 0.574201i
\(586\) −18.5260 57.0173i −0.765304 2.35536i
\(587\) 4.62878 + 5.14078i 0.191050 + 0.212183i 0.831058 0.556186i \(-0.187736\pi\)
−0.640008 + 0.768368i \(0.721069\pi\)
\(588\) 23.8558 + 4.46644i 0.983797 + 0.184193i
\(589\) 14.0916 15.6503i 0.580634 0.644859i
\(590\) 11.3731 + 46.8052i 0.468224 + 1.92694i
\(591\) −8.84180 25.1140i −0.363703 1.03305i
\(592\) 45.8367 20.4078i 1.88388 0.838756i
\(593\) 18.6586 0.766219 0.383109 0.923703i \(-0.374853\pi\)
0.383109 + 0.923703i \(0.374853\pi\)
\(594\) 75.9418 22.0437i 3.11593 0.904463i
\(595\) 0.0857849 + 0.111163i 0.00351684 + 0.00455723i
\(596\) 7.48957 + 71.2585i 0.306785 + 2.91886i
\(597\) −1.57991 + 5.29817i −0.0646613 + 0.216840i
\(598\) 14.9272 16.5783i 0.610419 0.677939i
\(599\) −3.61776 6.26614i −0.147818 0.256027i 0.782603 0.622521i \(-0.213892\pi\)
−0.930421 + 0.366494i \(0.880558\pi\)
\(600\) 29.7246 62.9127i 1.21350 2.56840i
\(601\) 3.28224 5.68501i 0.133886 0.231897i −0.791286 0.611447i \(-0.790588\pi\)
0.925171 + 0.379550i \(0.123921\pi\)
\(602\) 1.04122 + 3.20453i 0.0424368 + 0.130607i
\(603\) −1.33467 + 1.63595i −0.0543521 + 0.0666208i
\(604\) 77.0755 55.9986i 3.13616 2.27855i
\(605\) 8.80883 48.2684i 0.358130 1.96239i
\(606\) −5.11601 8.38285i −0.207824 0.340530i
\(607\) −8.23189 14.2580i −0.334122 0.578716i 0.649194 0.760623i \(-0.275106\pi\)
−0.983316 + 0.181907i \(0.941773\pi\)
\(608\) −9.40952 + 89.5256i −0.381606 + 3.63074i
\(609\) −7.59538 + 8.86027i −0.307780 + 0.359036i
\(610\) −8.77853 + 48.1024i −0.355432 + 1.94761i
\(611\) 1.67456 + 5.15376i 0.0677454 + 0.208499i
\(612\) −0.0258401 + 0.460882i −0.00104453 + 0.0186301i
\(613\) 5.27406 16.2319i 0.213017 0.655599i −0.786271 0.617881i \(-0.787991\pi\)
0.999288 0.0377179i \(-0.0120088\pi\)
\(614\) −5.15628 1.09600i −0.208090 0.0442310i
\(615\) 7.38103 1.17604i 0.297632 0.0474226i
\(616\) −92.6003 + 19.6828i −3.73097 + 0.793042i
\(617\) 0.234760 2.23359i 0.00945108 0.0899210i −0.988780 0.149382i \(-0.952272\pi\)
0.998231 + 0.0594611i \(0.0189382\pi\)
\(618\) 4.40639 3.36839i 0.177251 0.135496i
\(619\) −9.53950 + 4.24726i −0.383425 + 0.170712i −0.589392 0.807847i \(-0.700633\pi\)
0.205967 + 0.978559i \(0.433966\pi\)
\(620\) 34.6969 + 10.1740i 1.39346 + 0.408599i
\(621\) 0.662487 20.9232i 0.0265847 0.839619i
\(622\) −18.8849 + 13.7207i −0.757217 + 0.550150i
\(623\) 12.9900 + 2.76111i 0.520434 + 0.110622i
\(624\) 32.3094 24.6984i 1.29341 0.988726i
\(625\) 14.4713 20.3858i 0.578853 0.815432i
\(626\) −43.5247 75.3870i −1.73960 3.01307i
\(627\) −58.8338 + 27.9306i −2.34959 + 1.11544i
\(628\) 4.99279 + 47.5032i 0.199234 + 1.89558i
\(629\) −0.110440 + 0.0802394i −0.00440353 + 0.00319936i
\(630\) −17.3940 32.1046i −0.692994 1.27908i
\(631\) 3.19101 + 2.31840i 0.127032 + 0.0922941i 0.649487 0.760373i \(-0.274984\pi\)
−0.522455 + 0.852667i \(0.674984\pi\)
\(632\) −48.2504 + 83.5722i −1.91930 + 3.32432i
\(633\) 23.9975 + 39.3212i 0.953815 + 1.56288i
\(634\) −40.5318 + 8.61531i −1.60972 + 0.342158i
\(635\) −2.53260 + 1.56157i −0.100503 + 0.0619691i
\(636\) −2.45479 + 30.4801i −0.0973388 + 1.20862i
\(637\) 3.89275 + 4.32333i 0.154236 + 0.171297i
\(638\) −15.4348 + 47.5034i −0.611070 + 1.88068i
\(639\) −14.1195 + 0.688330i −0.558559 + 0.0272299i
\(640\) −20.0040 + 7.14574i −0.790727 + 0.282460i
\(641\) 8.84259 + 9.82070i 0.349261 + 0.387894i 0.892021 0.451994i \(-0.149287\pi\)
−0.542760 + 0.839888i \(0.682620\pi\)
\(642\) 24.5373 44.9962i 0.968411 1.77586i
\(643\) −7.49326 12.9787i −0.295505 0.511831i 0.679597 0.733586i \(-0.262155\pi\)
−0.975102 + 0.221755i \(0.928821\pi\)
\(644\) −4.34863 + 41.3744i −0.171360 + 1.63038i
\(645\) −1.30390 + 2.01190i −0.0513408 + 0.0792183i
\(646\) −0.0555395 0.528423i −0.00218517 0.0207905i
\(647\) −40.6013 + 29.4986i −1.59620 + 1.15971i −0.701867 + 0.712308i \(0.747650\pi\)
−0.894334 + 0.447400i \(0.852350\pi\)
\(648\) 15.5500 70.6193i 0.610861 2.77419i
\(649\) 46.6296 1.83037
\(650\) 24.5997 12.7050i 0.964880 0.498332i
\(651\) 9.08088 6.94172i 0.355908 0.272068i
\(652\) −31.8083 + 35.3267i −1.24571 + 1.38350i
\(653\) 6.42228 + 2.85938i 0.251323 + 0.111896i 0.528532 0.848913i \(-0.322743\pi\)
−0.277209 + 0.960810i \(0.589409\pi\)
\(654\) 29.2209 + 30.9051i 1.14263 + 1.20849i
\(655\) −37.7035 + 5.06925i −1.47320 + 0.198072i
\(656\) −17.5529 12.7529i −0.685325 0.497918i
\(657\) 6.50121 23.9135i 0.253636 0.932955i
\(658\) −11.4263 8.30172i −0.445445 0.323635i
\(659\) 23.7000 + 26.3215i 0.923221 + 1.02534i 0.999601 + 0.0282619i \(0.00899723\pi\)
−0.0763797 + 0.997079i \(0.524336\pi\)
\(660\) −86.9646 70.2894i −3.38509 2.73601i
\(661\) −3.44767 + 3.82903i −0.134099 + 0.148932i −0.806454 0.591297i \(-0.798616\pi\)
0.672355 + 0.740229i \(0.265283\pi\)
\(662\) 56.0729 11.9187i 2.17933 0.463232i
\(663\) −0.0720131 + 0.0840057i −0.00279676 + 0.00326251i
\(664\) −103.467 21.9925i −4.01528 0.853475i
\(665\) 18.3726 + 23.8078i 0.712457 + 0.923226i
\(666\) 31.6883 16.0006i 1.22790 0.620012i
\(667\) 10.6973 + 7.77205i 0.414201 + 0.300935i
\(668\) 37.3681 64.7234i 1.44581 2.50422i
\(669\) 14.1740 25.9920i 0.547998 1.00491i
\(670\) 4.16058 + 0.315938i 0.160737 + 0.0122058i
\(671\) 43.2436 + 19.2533i 1.66940 + 0.743264i
\(672\) −13.9619 + 46.8209i −0.538593 + 1.80616i
\(673\) −19.2634 4.09455i −0.742548 0.157833i −0.178922 0.983863i \(-0.557261\pi\)
−0.563626 + 0.826030i \(0.690594\pi\)
\(674\) 37.7518 1.45414
\(675\) 9.94178 24.0034i 0.382659 0.923890i
\(676\) −43.4536 −1.67129
\(677\) 8.61159 + 1.83045i 0.330970 + 0.0703499i 0.370400 0.928872i \(-0.379221\pi\)
−0.0394295 + 0.999222i \(0.512554\pi\)
\(678\) −11.4719 + 38.4708i −0.440577 + 1.47746i
\(679\) 19.1660 + 8.53326i 0.735524 + 0.327476i
\(680\) 0.467779 0.288427i 0.0179385 0.0110607i
\(681\) 10.2201 18.7415i 0.391636 0.718177i
\(682\) 24.4604 42.3667i 0.936638 1.62230i
\(683\) −22.8601 16.6088i −0.874716 0.635519i 0.0571320 0.998367i \(-0.481804\pi\)
−0.931848 + 0.362848i \(0.881804\pi\)
\(684\) −5.53419 + 98.7072i −0.211605 + 3.77417i
\(685\) 6.27389 9.18255i 0.239713 0.350847i
\(686\) −52.1008 11.0744i −1.98922 0.422821i
\(687\) 23.1569 27.0133i 0.883489 1.03062i
\(688\) 6.80750 1.44698i 0.259534 0.0551656i
\(689\) −4.90458 + 5.44708i −0.186849 + 0.207517i
\(690\) −34.6756 + 22.5643i −1.32008 + 0.859007i
\(691\) −33.8032 37.5422i −1.28593 1.42817i −0.848743 0.528805i \(-0.822640\pi\)
−0.437190 0.899369i \(-0.644026\pi\)
\(692\) −27.0227 19.6332i −1.02725 0.746341i
\(693\) −34.1769 + 9.02416i −1.29827 + 0.342799i
\(694\) −40.7262 29.5893i −1.54594 1.12319i
\(695\) 26.0641 + 14.0590i 0.988668 + 0.533289i
\(696\) 31.3799 + 33.1886i 1.18945 + 1.25801i
\(697\) 0.0539271 + 0.0240099i 0.00204263 + 0.000909439i
\(698\) 4.47588 4.97097i 0.169415 0.188154i
\(699\) −11.3735 + 8.69426i −0.430184 + 0.328847i
\(700\) −23.1874 + 46.1332i −0.876401 + 1.74367i
\(701\) 30.7464 1.16128 0.580638 0.814162i \(-0.302803\pi\)
0.580638 + 0.814162i \(0.302803\pi\)
\(702\) 21.9811 18.5666i 0.829624 0.700751i
\(703\) −23.6530 + 17.1849i −0.892089 + 0.648140i
\(704\) 8.36782 + 79.6144i 0.315374 + 3.00058i
\(705\) −0.535235 10.0352i −0.0201581 0.377949i
\(706\) −1.22935 + 11.6964i −0.0462670 + 0.440201i
\(707\) 2.19498 + 3.80182i 0.0825509 + 0.142982i
\(708\) 33.8883 62.1438i 1.27360 2.33551i
\(709\) −17.7193 19.6793i −0.665463 0.739072i 0.312022 0.950075i \(-0.398994\pi\)
−0.977485 + 0.211003i \(0.932327\pi\)
\(710\) 17.0680 + 22.1173i 0.640551 + 0.830047i
\(711\) −16.4753 + 32.0450i −0.617871 + 1.20178i
\(712\) 16.0614 49.4320i 0.601927 1.85254i
\(713\) −8.66569 9.62422i −0.324533 0.360430i
\(714\) 0.0231508 0.287454i 0.000866397 0.0107577i
\(715\) −6.32868 26.0452i −0.236679 0.974035i
\(716\) −24.0286 + 5.10744i −0.897992 + 0.190874i
\(717\) 16.2934 + 26.6976i 0.608488 + 0.997040i
\(718\) 45.2541 78.3825i 1.68887 2.92521i
\(719\) 2.59090 + 1.88240i 0.0966244 + 0.0702017i 0.635048 0.772472i \(-0.280980\pi\)
−0.538424 + 0.842674i \(0.680980\pi\)
\(720\) −69.7042 + 28.7990i −2.59772 + 1.07328i
\(721\) −2.00579 + 1.45730i −0.0746997 + 0.0542725i
\(722\) −6.62899 63.0706i −0.246705 2.34724i
\(723\) 20.2811 9.62822i 0.754263 0.358077i
\(724\) 26.6867 + 46.2227i 0.991802 + 1.71785i
\(725\) 9.01337 + 13.7137i 0.334748 + 0.509314i
\(726\) −80.0592 + 61.1999i −2.97128 + 2.27134i
\(727\) −40.1628 8.53687i −1.48956 0.316615i −0.609996 0.792404i \(-0.708829\pi\)
−0.879559 + 0.475789i \(0.842162\pi\)
\(728\) −27.8679 + 20.2472i −1.03285 + 0.750411i
\(729\) 4.51534 26.6198i 0.167235 0.985917i
\(730\) −46.1209 + 16.4751i −1.70701 + 0.609772i
\(731\) −0.0172981 + 0.00770163i −0.000639795 + 0.000284855i
\(732\) 57.0865 43.6388i 2.10998 1.61294i
\(733\) 4.35613 41.4458i 0.160897 1.53084i −0.554538 0.832158i \(-0.687105\pi\)
0.715436 0.698679i \(-0.246228\pi\)
\(734\) −28.2006 + 5.99423i −1.04090 + 0.221251i
\(735\) −4.90689 9.60833i −0.180993 0.354409i
\(736\) 54.1477 + 11.5095i 1.99591 + 0.424244i
\(737\) 1.24823 3.84166i 0.0459792 0.141509i
\(738\) −12.8434 8.40737i −0.472772 0.309480i
\(739\) 7.60793 + 23.4148i 0.279862 + 0.861327i 0.987892 + 0.155144i \(0.0495842\pi\)
−0.708030 + 0.706183i \(0.750416\pi\)
\(740\) −44.1800 23.8308i −1.62409 0.876036i
\(741\) −15.4231 + 17.9915i −0.566580 + 0.660935i
\(742\) 1.99690 18.9993i 0.0733086 0.697484i
\(743\) −1.29297 2.23949i −0.0474346 0.0821591i 0.841333 0.540517i \(-0.181771\pi\)
−0.888768 + 0.458358i \(0.848438\pi\)
\(744\) −23.3046 38.1858i −0.854387 1.39996i
\(745\) 23.0433 21.9880i 0.844241 0.805578i
\(746\) 52.2036 37.9281i 1.91131 1.38865i
\(747\) −38.9871 6.32084i −1.42646 0.231267i
\(748\) −0.272906 0.839918i −0.00997843 0.0307104i
\(749\) −11.4551 + 19.8408i −0.418559 + 0.724966i
\(750\) −50.1537 + 10.9977i −1.83135 + 0.401579i
\(751\) −1.67267 2.89715i −0.0610367 0.105719i 0.833892 0.551927i \(-0.186107\pi\)
−0.894929 + 0.446208i \(0.852774\pi\)
\(752\) −19.5203 + 21.6795i −0.711831 + 0.790569i
\(753\) −3.97303 + 13.3234i −0.144785 + 0.485533i
\(754\) 1.89973 + 18.0747i 0.0691841 + 0.658243i
\(755\) −40.6391 11.9164i −1.47901 0.433683i
\(756\) −12.8116 + 52.1063i −0.465953 + 1.89509i
\(757\) −12.7280 −0.462606 −0.231303 0.972882i \(-0.574299\pi\)
−0.231303 + 0.972882i \(0.574299\pi\)
\(758\) 12.3597 5.50289i 0.448925 0.199874i
\(759\) 13.3001 + 37.7773i 0.482765 + 1.37123i
\(760\) 100.184 61.7725i 3.63406 2.24072i
\(761\) −14.9541 + 16.6083i −0.542087 + 0.602049i −0.950491 0.310753i \(-0.899419\pi\)
0.408404 + 0.912801i \(0.366086\pi\)
\(762\) 6.00639 + 1.12456i 0.217589 + 0.0407384i
\(763\) −12.7218 14.1290i −0.460560 0.511503i
\(764\) −37.1403 114.306i −1.34369 4.13545i
\(765\) 0.169211 0.116072i 0.00611785 0.00419659i
\(766\) −16.8172 + 51.7582i −0.607632 + 1.87010i
\(767\) 15.4999 6.90102i 0.559671 0.249181i
\(768\) −4.32845 1.80216i −0.156189 0.0650298i
\(769\) −3.71745 + 35.3692i −0.134055 + 1.27545i 0.696113 + 0.717932i \(0.254911\pi\)
−0.830168 + 0.557514i \(0.811755\pi\)
\(770\) 53.2449 + 45.2229i 1.91881 + 1.62972i
\(771\) 23.3347 − </