Properties

Label 230.2.l.a.57.8
Level $230$
Weight $2$
Character 230.57
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 57.8
Character \(\chi\) \(=\) 230.57
Dual form 230.2.l.a.113.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.977147 + 0.212565i) q^{2} +(-1.21318 - 1.62061i) q^{3} +(0.909632 + 0.415415i) q^{4} +(0.653645 + 2.13840i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(2.48898 + 0.178015i) q^{7} +(0.800541 + 0.599278i) q^{8} +(-0.309393 + 1.05370i) q^{9} +O(q^{10})\) \(q+(0.977147 + 0.212565i) q^{2} +(-1.21318 - 1.62061i) q^{3} +(0.909632 + 0.415415i) q^{4} +(0.653645 + 2.13840i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(2.48898 + 0.178015i) q^{7} +(0.800541 + 0.599278i) q^{8} +(-0.309393 + 1.05370i) q^{9} +(0.184158 + 2.22847i) q^{10} +(2.81423 - 4.37903i) q^{11} +(-0.430316 - 1.97813i) q^{12} +(0.0979527 + 1.36956i) q^{13} +(2.39426 + 0.703018i) q^{14} +(2.67253 - 3.65356i) q^{15} +(0.654861 + 0.755750i) q^{16} +(-5.11295 - 1.90703i) q^{17} +(-0.526302 + 0.963851i) q^{18} +(-0.418404 + 0.916178i) q^{19} +(-0.293747 + 2.21669i) q^{20} +(-2.73108 - 4.24964i) q^{21} +(3.68075 - 3.68075i) q^{22} +(3.28025 + 3.49856i) q^{23} -2.02440i q^{24} +(-4.14550 + 2.79551i) q^{25} +(-0.195406 + 1.35908i) q^{26} +(-3.60729 + 1.34545i) q^{27} +(2.19011 + 1.19589i) q^{28} +(0.914515 - 0.417645i) q^{29} +(3.38807 - 3.00198i) q^{30} +(0.224850 + 1.56387i) q^{31} +(0.479249 + 0.877679i) q^{32} +(-10.5109 + 0.751753i) q^{33} +(-4.59074 - 2.95029i) q^{34} +(1.24624 + 5.43879i) q^{35} +(-0.719156 + 0.829950i) q^{36} +(-6.66101 + 3.63719i) q^{37} +(-0.603590 + 0.806302i) q^{38} +(2.10069 - 1.82026i) q^{39} +(-0.758225 + 2.10359i) q^{40} +(5.36782 - 1.57613i) q^{41} +(-1.76534 - 4.73305i) q^{42} +(-8.71442 + 6.52353i) q^{43} +(4.37903 - 2.81423i) q^{44} +(-2.45546 + 0.0271374i) q^{45} +(2.46161 + 4.11588i) q^{46} +(-1.51324 - 1.51324i) q^{47} +(0.430316 - 1.97813i) q^{48} +(-0.765416 - 0.110050i) q^{49} +(-4.64499 + 1.85043i) q^{50} +(3.11235 + 10.5997i) q^{51} +(-0.479834 + 1.28648i) q^{52} +(0.289527 - 4.04812i) q^{53} +(-3.81085 + 0.547917i) q^{54} +(11.2036 + 3.15562i) q^{55} +(1.88585 + 1.63410i) q^{56} +(1.99237 - 0.433413i) q^{57} +(0.982392 - 0.213706i) q^{58} +(-4.89177 - 4.23875i) q^{59} +(3.94876 - 2.21318i) q^{60} +(-8.75876 + 1.25932i) q^{61} +(-0.112712 + 1.57592i) q^{62} +(-0.957649 + 2.56756i) q^{63} +(0.281733 + 0.959493i) q^{64} +(-2.86463 + 1.10467i) q^{65} +(-10.4305 - 1.49967i) q^{66} +(3.34608 - 15.3817i) q^{67} +(-3.85869 - 3.85869i) q^{68} +(1.69030 - 9.56039i) q^{69} +(0.0616628 + 5.57941i) q^{70} +(4.18815 - 2.69156i) q^{71} +(-0.879140 + 0.658116i) q^{72} +(0.528197 + 1.41615i) q^{73} +(-7.28193 + 2.13817i) q^{74} +(9.55965 + 3.32681i) q^{75} +(-0.761188 + 0.659573i) q^{76} +(7.78411 - 10.3983i) q^{77} +(2.43960 - 1.33213i) q^{78} +(7.48523 - 8.63842i) q^{79} +(-1.18805 + 1.89435i) q^{80} +(9.32828 + 5.99492i) q^{81} +(5.58018 - 0.399102i) q^{82} +(-5.71168 - 10.4602i) q^{83} +(-0.718911 - 5.00014i) q^{84} +(0.735940 - 12.1800i) q^{85} +(-9.90194 + 4.52206i) q^{86} +(-1.78631 - 0.975398i) q^{87} +(4.87717 - 1.81909i) q^{88} +(-2.03182 + 14.1316i) q^{89} +(-2.40511 - 0.495428i) q^{90} +3.42624i q^{91} +(1.53046 + 4.54507i) q^{92} +(2.26164 - 2.26164i) q^{93} +(-1.15700 - 1.80032i) q^{94} +(-2.23264 - 0.295860i) q^{95} +(0.840965 - 1.84146i) q^{96} +(-3.22609 + 5.90815i) q^{97} +(-0.724531 - 0.270236i) q^{98} +(3.74347 + 4.32019i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{9}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.977147 + 0.212565i 0.690947 + 0.150306i
\(3\) −1.21318 1.62061i −0.700427 0.935661i 0.299402 0.954127i \(-0.403213\pi\)
−0.999829 + 0.0184657i \(0.994122\pi\)
\(4\) 0.909632 + 0.415415i 0.454816 + 0.207708i
\(5\) 0.653645 + 2.13840i 0.292319 + 0.956321i
\(6\) −0.840965 1.84146i −0.343322 0.751771i
\(7\) 2.48898 + 0.178015i 0.940746 + 0.0672835i 0.533282 0.845938i \(-0.320959\pi\)
0.407464 + 0.913221i \(0.366413\pi\)
\(8\) 0.800541 + 0.599278i 0.283034 + 0.211877i
\(9\) −0.309393 + 1.05370i −0.103131 + 0.351232i
\(10\) 0.184158 + 2.22847i 0.0582358 + 0.704705i
\(11\) 2.81423 4.37903i 0.848523 1.32033i −0.0971700 0.995268i \(-0.530979\pi\)
0.945693 0.325060i \(-0.105385\pi\)
\(12\) −0.430316 1.97813i −0.124222 0.571038i
\(13\) 0.0979527 + 1.36956i 0.0271672 + 0.379847i 0.992787 + 0.119889i \(0.0382540\pi\)
−0.965620 + 0.259957i \(0.916291\pi\)
\(14\) 2.39426 + 0.703018i 0.639893 + 0.187889i
\(15\) 2.67253 3.65356i 0.690044 0.943345i
\(16\) 0.654861 + 0.755750i 0.163715 + 0.188937i
\(17\) −5.11295 1.90703i −1.24007 0.462523i −0.358038 0.933707i \(-0.616554\pi\)
−0.882035 + 0.471184i \(0.843827\pi\)
\(18\) −0.526302 + 0.963851i −0.124051 + 0.227182i
\(19\) −0.418404 + 0.916178i −0.0959885 + 0.210186i −0.951535 0.307540i \(-0.900494\pi\)
0.855546 + 0.517726i \(0.173221\pi\)
\(20\) −0.293747 + 2.21669i −0.0656837 + 0.495667i
\(21\) −2.73108 4.24964i −0.595970 0.927347i
\(22\) 3.68075 3.68075i 0.784738 0.784738i
\(23\) 3.28025 + 3.49856i 0.683980 + 0.729501i
\(24\) 2.02440i 0.413228i
\(25\) −4.14550 + 2.79551i −0.829099 + 0.559101i
\(26\) −0.195406 + 1.35908i −0.0383223 + 0.266538i
\(27\) −3.60729 + 1.34545i −0.694223 + 0.258932i
\(28\) 2.19011 + 1.19589i 0.413891 + 0.226002i
\(29\) 0.914515 0.417645i 0.169821 0.0775547i −0.328691 0.944438i \(-0.606607\pi\)
0.498512 + 0.866883i \(0.333880\pi\)
\(30\) 3.38807 3.00198i 0.618575 0.548083i
\(31\) 0.224850 + 1.56387i 0.0403842 + 0.280879i 1.00000 0.000435811i \(-0.000138723\pi\)
−0.959616 + 0.281314i \(0.909230\pi\)
\(32\) 0.479249 + 0.877679i 0.0847201 + 0.155153i
\(33\) −10.5109 + 0.751753i −1.82971 + 0.130863i
\(34\) −4.59074 2.95029i −0.787305 0.505970i
\(35\) 1.24624 + 5.43879i 0.210653 + 0.919323i
\(36\) −0.719156 + 0.829950i −0.119859 + 0.138325i
\(37\) −6.66101 + 3.63719i −1.09506 + 0.597950i −0.922090 0.386976i \(-0.873520\pi\)
−0.172974 + 0.984926i \(0.555338\pi\)
\(38\) −0.603590 + 0.806302i −0.0979152 + 0.130799i
\(39\) 2.10069 1.82026i 0.336379 0.291474i
\(40\) −0.758225 + 2.10359i −0.119886 + 0.332607i
\(41\) 5.36782 1.57613i 0.838313 0.246151i 0.165728 0.986171i \(-0.447002\pi\)
0.672584 + 0.740021i \(0.265184\pi\)
\(42\) −1.76534 4.73305i −0.272397 0.730326i
\(43\) −8.71442 + 6.52353i −1.32894 + 0.994829i −0.330234 + 0.943899i \(0.607128\pi\)
−0.998702 + 0.0509297i \(0.983782\pi\)
\(44\) 4.37903 2.81423i 0.660164 0.424262i
\(45\) −2.45546 + 0.0271374i −0.366038 + 0.00404540i
\(46\) 2.46161 + 4.11588i 0.362945 + 0.606853i
\(47\) −1.51324 1.51324i −0.220729 0.220729i 0.588076 0.808806i \(-0.299886\pi\)
−0.808806 + 0.588076i \(0.799886\pi\)
\(48\) 0.430316 1.97813i 0.0621108 0.285519i
\(49\) −0.765416 0.110050i −0.109345 0.0157215i
\(50\) −4.64499 + 1.85043i −0.656900 + 0.261691i
\(51\) 3.11235 + 10.5997i 0.435816 + 1.48425i
\(52\) −0.479834 + 1.28648i −0.0665410 + 0.178403i
\(53\) 0.289527 4.04812i 0.0397697 0.556052i −0.938036 0.346538i \(-0.887357\pi\)
0.977806 0.209514i \(-0.0671883\pi\)
\(54\) −3.81085 + 0.547917i −0.518591 + 0.0745621i
\(55\) 11.2036 + 3.15562i 1.51070 + 0.425504i
\(56\) 1.88585 + 1.63410i 0.252007 + 0.218366i
\(57\) 1.99237 0.433413i 0.263896 0.0574070i
\(58\) 0.982392 0.213706i 0.128994 0.0280610i
\(59\) −4.89177 4.23875i −0.636855 0.551838i 0.275468 0.961310i \(-0.411167\pi\)
−0.912322 + 0.409473i \(0.865713\pi\)
\(60\) 3.94876 2.21318i 0.509783 0.285721i
\(61\) −8.75876 + 1.25932i −1.12144 + 0.161239i −0.677999 0.735063i \(-0.737153\pi\)
−0.443444 + 0.896302i \(0.646244\pi\)
\(62\) −0.112712 + 1.57592i −0.0143145 + 0.200142i
\(63\) −0.957649 + 2.56756i −0.120652 + 0.323482i
\(64\) 0.281733 + 0.959493i 0.0352166 + 0.119937i
\(65\) −2.86463 + 1.10467i −0.355314 + 0.137017i
\(66\) −10.4305 1.49967i −1.28390 0.184597i
\(67\) 3.34608 15.3817i 0.408789 1.87917i −0.0639198 0.997955i \(-0.520360\pi\)
0.472709 0.881219i \(-0.343276\pi\)
\(68\) −3.85869 3.85869i −0.467935 0.467935i
\(69\) 1.69030 9.56039i 0.203488 1.15094i
\(70\) 0.0616628 + 5.57941i 0.00737011 + 0.666866i
\(71\) 4.18815 2.69156i 0.497042 0.319430i −0.267990 0.963422i \(-0.586359\pi\)
0.765032 + 0.643992i \(0.222723\pi\)
\(72\) −0.879140 + 0.658116i −0.103608 + 0.0775597i
\(73\) 0.528197 + 1.41615i 0.0618208 + 0.165748i 0.964188 0.265221i \(-0.0854448\pi\)
−0.902367 + 0.430968i \(0.858172\pi\)
\(74\) −7.28193 + 2.13817i −0.846507 + 0.248557i
\(75\) 9.55965 + 3.32681i 1.10385 + 0.384146i
\(76\) −0.761188 + 0.659573i −0.0873142 + 0.0756582i
\(77\) 7.78411 10.3983i 0.887081 1.18500i
\(78\) 2.43960 1.33213i 0.276231 0.150833i
\(79\) 7.48523 8.63842i 0.842154 0.971898i −0.157724 0.987483i \(-0.550416\pi\)
0.999879 + 0.0155854i \(0.00496120\pi\)
\(80\) −1.18805 + 1.89435i −0.132828 + 0.211794i
\(81\) 9.32828 + 5.99492i 1.03648 + 0.666102i
\(82\) 5.58018 0.399102i 0.616228 0.0440735i
\(83\) −5.71168 10.4602i −0.626939 1.14815i −0.977365 0.211562i \(-0.932145\pi\)
0.350426 0.936590i \(-0.386037\pi\)
\(84\) −0.718911 5.00014i −0.0784396 0.545560i
\(85\) 0.735940 12.1800i 0.0798240 1.32111i
\(86\) −9.90194 + 4.52206i −1.06775 + 0.487627i
\(87\) −1.78631 0.975398i −0.191512 0.104574i
\(88\) 4.87717 1.81909i 0.519908 0.193916i
\(89\) −2.03182 + 14.1316i −0.215372 + 1.49795i 0.539450 + 0.842018i \(0.318632\pi\)
−0.754822 + 0.655929i \(0.772277\pi\)
\(90\) −2.40511 0.495428i −0.253521 0.0522227i
\(91\) 3.42624i 0.359167i
\(92\) 1.53046 + 4.54507i 0.159562 + 0.473856i
\(93\) 2.26164 2.26164i 0.234521 0.234521i
\(94\) −1.15700 1.80032i −0.119335 0.185689i
\(95\) −2.23264 0.295860i −0.229064 0.0303546i
\(96\) 0.840965 1.84146i 0.0858306 0.187943i
\(97\) −3.22609 + 5.90815i −0.327560 + 0.599881i −0.988617 0.150454i \(-0.951926\pi\)
0.661057 + 0.750336i \(0.270108\pi\)
\(98\) −0.724531 0.270236i −0.0731887 0.0272980i
\(99\) 3.74347 + 4.32019i 0.376233 + 0.434196i
\(100\) −4.93217 + 0.820781i −0.493217 + 0.0820781i
\(101\) 2.25101 + 0.660955i 0.223984 + 0.0657675i 0.391799 0.920051i \(-0.371853\pi\)
−0.167815 + 0.985818i \(0.553671\pi\)
\(102\) 0.788096 + 11.0190i 0.0780331 + 1.09105i
\(103\) 4.15167 + 19.0849i 0.409077 + 1.88050i 0.470528 + 0.882385i \(0.344063\pi\)
−0.0614513 + 0.998110i \(0.519573\pi\)
\(104\) −0.742330 + 1.15509i −0.0727914 + 0.113266i
\(105\) 7.30227 8.61788i 0.712628 0.841019i
\(106\) 1.14340 3.89407i 0.111057 0.378225i
\(107\) 4.21172 + 3.15285i 0.407162 + 0.304798i 0.783157 0.621824i \(-0.213608\pi\)
−0.375995 + 0.926622i \(0.622699\pi\)
\(108\) −3.84023 0.274658i −0.369526 0.0264290i
\(109\) 5.07414 + 11.1108i 0.486014 + 1.06422i 0.980766 + 0.195189i \(0.0625319\pi\)
−0.494751 + 0.869035i \(0.664741\pi\)
\(110\) 10.2768 + 5.46501i 0.979856 + 0.521068i
\(111\) 13.9755 + 6.38238i 1.32649 + 0.605788i
\(112\) 1.49540 + 1.99762i 0.141302 + 0.188757i
\(113\) −9.07670 1.97452i −0.853864 0.185747i −0.235729 0.971819i \(-0.575748\pi\)
−0.618135 + 0.786072i \(0.712112\pi\)
\(114\) 2.03896 0.190966
\(115\) −5.33721 + 9.30130i −0.497697 + 0.867351i
\(116\) 1.00537 0.0933461
\(117\) −1.47341 0.320520i −0.136216 0.0296321i
\(118\) −3.87897 5.18170i −0.357088 0.477014i
\(119\) −12.3866 5.65675i −1.13547 0.518553i
\(120\) 4.32897 1.32324i 0.395179 0.120794i
\(121\) −6.68645 14.6413i −0.607859 1.33103i
\(122\) −8.82628 0.631268i −0.799094 0.0571523i
\(123\) −9.06641 6.78703i −0.817491 0.611966i
\(124\) −0.445123 + 1.51595i −0.0399732 + 0.136136i
\(125\) −8.68759 7.03746i −0.777042 0.629449i
\(126\) −1.48154 + 2.30532i −0.131986 + 0.205374i
\(127\) 2.83499 + 13.0322i 0.251564 + 1.15642i 0.913493 + 0.406855i \(0.133375\pi\)
−0.661928 + 0.749567i \(0.730262\pi\)
\(128\) 0.0713392 + 0.997452i 0.00630555 + 0.0881631i
\(129\) 21.1442 + 6.20851i 1.86165 + 0.546629i
\(130\) −3.03398 + 0.470499i −0.266098 + 0.0412655i
\(131\) 1.51186 + 1.74478i 0.132092 + 0.152442i 0.817942 0.575301i \(-0.195115\pi\)
−0.685850 + 0.727743i \(0.740570\pi\)
\(132\) −9.87332 3.68256i −0.859362 0.320525i
\(133\) −1.20449 + 2.20587i −0.104443 + 0.191273i
\(134\) 6.53923 14.3189i 0.564903 1.23697i
\(135\) −5.23499 6.83438i −0.450556 0.588209i
\(136\) −2.95029 4.59074i −0.252985 0.393652i
\(137\) 12.1278 12.1278i 1.03615 1.03615i 0.0368249 0.999322i \(-0.488276\pi\)
0.999322 0.0368249i \(-0.0117244\pi\)
\(138\) 3.68388 8.98261i 0.313593 0.764650i
\(139\) 5.26770i 0.446801i 0.974727 + 0.223400i \(0.0717157\pi\)
−0.974727 + 0.223400i \(0.928284\pi\)
\(140\) −1.12573 + 5.46501i −0.0951419 + 0.461877i
\(141\) −0.616552 + 4.28821i −0.0519230 + 0.361133i
\(142\) 4.66457 1.73980i 0.391442 0.146000i
\(143\) 6.27300 + 3.42532i 0.524574 + 0.286439i
\(144\) −0.998941 + 0.456201i −0.0832451 + 0.0380168i
\(145\) 1.49086 + 1.68261i 0.123809 + 0.139733i
\(146\) 0.215101 + 1.49606i 0.0178019 + 0.123815i
\(147\) 0.750235 + 1.37395i 0.0618783 + 0.113322i
\(148\) −7.57001 + 0.541418i −0.622251 + 0.0445043i
\(149\) 2.32629 + 1.49501i 0.190577 + 0.122476i 0.632450 0.774601i \(-0.282049\pi\)
−0.441873 + 0.897078i \(0.645686\pi\)
\(150\) 8.63402 + 5.28283i 0.704965 + 0.431341i
\(151\) 9.10367 10.5062i 0.740846 0.854982i −0.252802 0.967518i \(-0.581352\pi\)
0.993648 + 0.112536i \(0.0358975\pi\)
\(152\) −0.883995 + 0.482698i −0.0717014 + 0.0391520i
\(153\) 3.59135 4.79748i 0.290343 0.387853i
\(154\) 9.81654 8.50608i 0.791040 0.685440i
\(155\) −3.19720 + 1.50303i −0.256805 + 0.120726i
\(156\) 2.66702 0.783106i 0.213532 0.0626987i
\(157\) 2.83673 + 7.60557i 0.226396 + 0.606990i 0.999632 0.0271276i \(-0.00863605\pi\)
−0.773236 + 0.634118i \(0.781363\pi\)
\(158\) 9.15040 6.84990i 0.727966 0.544949i
\(159\) −6.91169 + 4.44187i −0.548132 + 0.352263i
\(160\) −1.56357 + 1.59852i −0.123611 + 0.126374i
\(161\) 7.54168 + 9.29179i 0.594368 + 0.732296i
\(162\) 7.84078 + 7.84078i 0.616030 + 0.616030i
\(163\) −0.485212 + 2.23048i −0.0380048 + 0.174705i −0.992237 0.124362i \(-0.960312\pi\)
0.954232 + 0.299067i \(0.0966753\pi\)
\(164\) 5.53749 + 0.796171i 0.432405 + 0.0621705i
\(165\) −8.47793 21.9851i −0.660006 1.71153i
\(166\) −3.35768 11.4352i −0.260607 0.887545i
\(167\) 6.55236 17.5675i 0.507037 1.35942i −0.391362 0.920237i \(-0.627996\pi\)
0.898399 0.439181i \(-0.144731\pi\)
\(168\) 0.360374 5.03868i 0.0278034 0.388743i
\(169\) 11.0016 1.58179i 0.846276 0.121676i
\(170\) 3.30818 11.7453i 0.253726 0.900820i
\(171\) −0.835923 0.724331i −0.0639246 0.0553910i
\(172\) −10.6369 + 2.31391i −0.811055 + 0.176434i
\(173\) 17.5504 3.81786i 1.33433 0.290266i 0.511859 0.859069i \(-0.328957\pi\)
0.822474 + 0.568803i \(0.192593\pi\)
\(174\) −1.53815 1.33281i −0.116607 0.101040i
\(175\) −10.8157 + 6.22000i −0.817590 + 0.470188i
\(176\) 5.15238 0.740801i 0.388375 0.0558400i
\(177\) −0.934786 + 13.0700i −0.0702628 + 0.982403i
\(178\) −4.98927 + 13.3768i −0.373962 + 1.00263i
\(179\) −5.54509 18.8848i −0.414460 1.41152i −0.857253 0.514896i \(-0.827831\pi\)
0.442793 0.896624i \(-0.353988\pi\)
\(180\) −2.24484 0.995349i −0.167320 0.0741890i
\(181\) −6.08449 0.874817i −0.452256 0.0650246i −0.0875769 0.996158i \(-0.527912\pi\)
−0.364679 + 0.931133i \(0.618821\pi\)
\(182\) −0.728299 + 3.34794i −0.0539851 + 0.248166i
\(183\) 12.6668 + 12.6668i 0.936355 + 0.936355i
\(184\) 0.529364 + 4.76653i 0.0390252 + 0.351393i
\(185\) −12.1317 11.8665i −0.891940 0.872440i
\(186\) 2.69070 1.72921i 0.197292 0.126792i
\(187\) −22.7400 + 17.0229i −1.66291 + 1.24484i
\(188\) −0.747871 2.00512i −0.0545441 0.146238i
\(189\) −9.21798 + 2.70664i −0.670510 + 0.196879i
\(190\) −2.11873 0.763681i −0.153709 0.0554032i
\(191\) 7.41859 6.42825i 0.536791 0.465132i −0.343778 0.939051i \(-0.611707\pi\)
0.880568 + 0.473919i \(0.157161\pi\)
\(192\) 1.21318 1.62061i 0.0875534 0.116958i
\(193\) −5.28825 + 2.88760i −0.380656 + 0.207854i −0.658173 0.752867i \(-0.728670\pi\)
0.277517 + 0.960721i \(0.410489\pi\)
\(194\) −4.40823 + 5.08737i −0.316493 + 0.365252i
\(195\) 5.26554 + 3.30231i 0.377073 + 0.236483i
\(196\) −0.650530 0.418070i −0.0464664 0.0298622i
\(197\) −22.2671 + 1.59257i −1.58646 + 0.113466i −0.836482 0.547994i \(-0.815392\pi\)
−0.749980 + 0.661460i \(0.769937\pi\)
\(198\) 2.73960 + 5.01720i 0.194695 + 0.356557i
\(199\) 0.128281 + 0.892214i 0.00909360 + 0.0632474i 0.993863 0.110618i \(-0.0352832\pi\)
−0.984769 + 0.173866i \(0.944374\pi\)
\(200\) −4.99393 0.246385i −0.353124 0.0174221i
\(201\) −28.9872 + 13.2380i −2.04460 + 0.933736i
\(202\) 2.05907 + 1.12434i 0.144875 + 0.0791080i
\(203\) 2.35056 0.876712i 0.164977 0.0615332i
\(204\) −1.57218 + 10.9347i −0.110074 + 0.765584i
\(205\) 6.87905 + 10.4483i 0.480454 + 0.729741i
\(206\) 19.5313i 1.36081i
\(207\) −4.70132 + 2.37396i −0.326764 + 0.165002i
\(208\) −0.970897 + 0.970897i −0.0673196 + 0.0673196i
\(209\) 2.83448 + 4.41054i 0.196065 + 0.305084i
\(210\) 8.96725 6.86873i 0.618799 0.473987i
\(211\) 9.67387 21.1828i 0.665977 1.45829i −0.210869 0.977514i \(-0.567629\pi\)
0.876846 0.480771i \(-0.159643\pi\)
\(212\) 1.94501 3.56203i 0.133584 0.244641i
\(213\) −9.44295 3.52204i −0.647020 0.241326i
\(214\) 3.44528 + 3.97607i 0.235515 + 0.271798i
\(215\) −19.6460 14.3708i −1.33985 0.980082i
\(216\) −3.69408 1.08468i −0.251350 0.0738031i
\(217\) 0.281255 + 3.93246i 0.0190928 + 0.266953i
\(218\) 2.59641 + 11.9355i 0.175851 + 0.808373i
\(219\) 1.65424 2.57404i 0.111783 0.173938i
\(220\) 8.88028 + 7.52461i 0.598709 + 0.507309i
\(221\) 2.11096 7.18928i 0.141999 0.483603i
\(222\) 12.2994 + 9.20722i 0.825482 + 0.617948i
\(223\) 24.6380 + 1.76215i 1.64988 + 0.118002i 0.865044 0.501697i \(-0.167291\pi\)
0.784840 + 0.619699i \(0.212745\pi\)
\(224\) 1.03660 + 2.26984i 0.0692608 + 0.151660i
\(225\) −1.66303 5.23301i −0.110869 0.348867i
\(226\) −8.44956 3.85878i −0.562056 0.256682i
\(227\) 1.85820 + 2.48226i 0.123333 + 0.164753i 0.857958 0.513720i \(-0.171733\pi\)
−0.734625 + 0.678473i \(0.762642\pi\)
\(228\) 1.99237 + 0.433413i 0.131948 + 0.0287035i
\(229\) −29.3674 −1.94065 −0.970327 0.241798i \(-0.922263\pi\)
−0.970327 + 0.241798i \(0.922263\pi\)
\(230\) −7.19237 + 7.95423i −0.474251 + 0.524487i
\(231\) −26.2952 −1.73010
\(232\) 0.982392 + 0.213706i 0.0644972 + 0.0140305i
\(233\) 12.3950 + 16.5577i 0.812022 + 1.08473i 0.994827 + 0.101585i \(0.0323913\pi\)
−0.182805 + 0.983149i \(0.558518\pi\)
\(234\) −1.37160 0.626390i −0.0896644 0.0409484i
\(235\) 2.24679 4.22504i 0.146565 0.275611i
\(236\) −2.68888 5.88782i −0.175031 0.383264i
\(237\) −23.0804 1.65074i −1.49923 0.107227i
\(238\) −10.9011 8.16043i −0.706610 0.528962i
\(239\) −1.42626 + 4.85741i −0.0922574 + 0.314200i −0.992673 0.120831i \(-0.961444\pi\)
0.900416 + 0.435030i \(0.143262\pi\)
\(240\) 4.51131 0.372808i 0.291204 0.0240647i
\(241\) 3.79309 5.90216i 0.244334 0.380192i −0.697327 0.716753i \(-0.745628\pi\)
0.941662 + 0.336561i \(0.109264\pi\)
\(242\) −3.42142 15.7280i −0.219937 1.01103i
\(243\) −0.777419 10.8697i −0.0498714 0.697294i
\(244\) −8.49038 2.49300i −0.543541 0.159598i
\(245\) −0.264979 1.70870i −0.0169289 0.109165i
\(246\) −7.41653 8.55913i −0.472861 0.545710i
\(247\) −1.29574 0.483287i −0.0824461 0.0307508i
\(248\) −0.757188 + 1.38669i −0.0480815 + 0.0880547i
\(249\) −10.0226 + 21.9464i −0.635157 + 1.39080i
\(250\) −6.99313 8.72331i −0.442285 0.551710i
\(251\) 1.98731 + 3.09232i 0.125438 + 0.195185i 0.898293 0.439398i \(-0.144808\pi\)
−0.772855 + 0.634583i \(0.781172\pi\)
\(252\) −1.93771 + 1.93771i −0.122064 + 0.122064i
\(253\) 24.5517 4.51855i 1.54355 0.284079i
\(254\) 13.3370i 0.836838i
\(255\) −20.6320 + 13.5839i −1.29202 + 0.850655i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 16.2036 6.04363i 1.01075 0.376991i 0.211106 0.977463i \(-0.432293\pi\)
0.799646 + 0.600472i \(0.205021\pi\)
\(258\) 19.3413 + 10.5612i 1.20414 + 0.657509i
\(259\) −17.2266 + 7.86713i −1.07041 + 0.488840i
\(260\) −3.06466 0.185172i −0.190062 0.0114839i
\(261\) 0.157126 + 1.09284i 0.00972589 + 0.0676450i
\(262\) 1.10643 + 2.02627i 0.0683554 + 0.125184i
\(263\) −19.4902 + 1.39397i −1.20182 + 0.0859556i −0.657848 0.753151i \(-0.728533\pi\)
−0.543968 + 0.839106i \(0.683079\pi\)
\(264\) −8.86490 5.69712i −0.545597 0.350634i
\(265\) 8.84575 2.02691i 0.543390 0.124512i
\(266\) −1.64586 + 1.89942i −0.100914 + 0.116461i
\(267\) 25.3668 13.8513i 1.55242 0.847687i
\(268\) 9.43349 12.6017i 0.576242 0.769770i
\(269\) −13.1182 + 11.3670i −0.799829 + 0.693055i −0.955577 0.294741i \(-0.904767\pi\)
0.155749 + 0.987797i \(0.450221\pi\)
\(270\) −3.66261 7.79097i −0.222899 0.474143i
\(271\) −7.10671 + 2.08672i −0.431702 + 0.126759i −0.490362 0.871519i \(-0.663135\pi\)
0.0586601 + 0.998278i \(0.481317\pi\)
\(272\) −1.90703 5.11295i −0.115631 0.310018i
\(273\) 5.55261 4.15663i 0.336059 0.251571i
\(274\) 14.4286 9.27268i 0.871662 0.560183i
\(275\) 0.575219 + 26.0205i 0.0346870 + 1.56909i
\(276\) 5.50908 7.99426i 0.331608 0.481198i
\(277\) 0.630049 + 0.630049i 0.0378560 + 0.0378560i 0.725781 0.687925i \(-0.241478\pi\)
−0.687925 + 0.725781i \(0.741478\pi\)
\(278\) −1.11973 + 5.14732i −0.0671570 + 0.308716i
\(279\) −1.71741 0.246926i −0.102819 0.0147831i
\(280\) −2.26168 + 5.10082i −0.135161 + 0.304832i
\(281\) 5.73118 + 19.5186i 0.341893 + 1.16438i 0.933626 + 0.358248i \(0.116626\pi\)
−0.591733 + 0.806134i \(0.701556\pi\)
\(282\) −1.51399 + 4.05916i −0.0901566 + 0.241719i
\(283\) 0.107201 1.49886i 0.00637243 0.0890983i −0.993271 0.115817i \(-0.963051\pi\)
0.999643 + 0.0267189i \(0.00850589\pi\)
\(284\) 4.92779 0.708510i 0.292411 0.0420423i
\(285\) 2.22911 + 3.97718i 0.132041 + 0.235588i
\(286\) 5.40154 + 4.68046i 0.319400 + 0.276761i
\(287\) 13.6410 2.96741i 0.805201 0.175161i
\(288\) −1.07308 + 0.233435i −0.0632321 + 0.0137553i
\(289\) 9.65776 + 8.36849i 0.568103 + 0.492264i
\(290\) 1.09913 + 1.96106i 0.0645428 + 0.115157i
\(291\) 13.4886 1.93937i 0.790718 0.113688i
\(292\) −0.107825 + 1.50760i −0.00631001 + 0.0882254i
\(293\) 7.34474 19.6920i 0.429084 1.15042i −0.525058 0.851067i \(-0.675956\pi\)
0.954142 0.299353i \(-0.0967709\pi\)
\(294\) 0.441035 + 1.50203i 0.0257217 + 0.0876000i
\(295\) 5.86665 13.2312i 0.341569 0.770350i
\(296\) −7.51210 1.08008i −0.436632 0.0627782i
\(297\) −4.25999 + 19.5828i −0.247190 + 1.13631i
\(298\) 1.95533 + 1.95533i 0.113269 + 0.113269i
\(299\) −4.47018 + 4.83519i −0.258517 + 0.279626i
\(300\) 7.31376 + 6.99739i 0.422260 + 0.403995i
\(301\) −22.8513 + 14.6856i −1.31713 + 0.846466i
\(302\) 11.1289 8.33097i 0.640395 0.479393i
\(303\) −1.65971 4.44986i −0.0953481 0.255638i
\(304\) −0.966397 + 0.283760i −0.0554267 + 0.0162747i
\(305\) −8.41804 17.9066i −0.482016 1.02533i
\(306\) 4.52905 3.92445i 0.258909 0.224346i
\(307\) 6.54686 8.74557i 0.373649 0.499136i −0.573821 0.818980i \(-0.694540\pi\)
0.947470 + 0.319844i \(0.103631\pi\)
\(308\) 11.4003 6.22504i 0.649593 0.354704i
\(309\) 25.8926 29.8816i 1.47298 1.69991i
\(310\) −3.44362 + 0.789070i −0.195585 + 0.0448161i
\(311\) −6.25342 4.01883i −0.354599 0.227887i 0.351198 0.936301i \(-0.385774\pi\)
−0.705797 + 0.708414i \(0.749411\pi\)
\(312\) 2.77253 0.198295i 0.156963 0.0112262i
\(313\) −9.40504 17.2240i −0.531604 0.973561i −0.996121 0.0879961i \(-0.971954\pi\)
0.464517 0.885564i \(-0.346228\pi\)
\(314\) 1.15522 + 8.03475i 0.0651930 + 0.453427i
\(315\) −6.11642 0.369565i −0.344621 0.0208226i
\(316\) 10.3973 4.74830i 0.584896 0.267113i
\(317\) −8.85328 4.83426i −0.497250 0.271519i 0.210993 0.977487i \(-0.432330\pi\)
−0.708243 + 0.705969i \(0.750512\pi\)
\(318\) −7.69792 + 2.87118i −0.431678 + 0.161008i
\(319\) 0.744778 5.18004i 0.0416995 0.290027i
\(320\) −1.86763 + 1.22962i −0.104403 + 0.0687381i
\(321\) 10.6505i 0.594455i
\(322\) 5.39422 + 10.6825i 0.300608 + 0.595315i
\(323\) 3.88646 3.88646i 0.216249 0.216249i
\(324\) 5.99492 + 9.32828i 0.333051 + 0.518238i
\(325\) −4.23467 5.40367i −0.234897 0.299742i
\(326\) −0.948247 + 2.07637i −0.0525186 + 0.115000i
\(327\) 11.8505 21.7026i 0.655335 1.20016i
\(328\) 5.24170 + 1.95505i 0.289425 + 0.107950i
\(329\) −3.49705 4.03582i −0.192799 0.222502i
\(330\) −3.61092 23.2847i −0.198775 1.28178i
\(331\) −6.83674 2.00745i −0.375781 0.110339i 0.0883874 0.996086i \(-0.471829\pi\)
−0.464169 + 0.885747i \(0.653647\pi\)
\(332\) −0.850219 11.8876i −0.0466618 0.652418i
\(333\) −1.77162 8.14402i −0.0970843 0.446289i
\(334\) 10.1369 15.7733i 0.554665 0.863075i
\(335\) 35.0794 2.89891i 1.91659 0.158384i
\(336\) 1.42319 4.84693i 0.0776412 0.264422i
\(337\) 20.4317 + 15.2950i 1.11299 + 0.833172i 0.987295 0.158897i \(-0.0507939\pi\)
0.125692 + 0.992069i \(0.459885\pi\)
\(338\) 11.0864 + 0.792915i 0.603021 + 0.0431289i
\(339\) 7.81171 + 17.1053i 0.424274 + 0.929030i
\(340\) 5.72921 10.7736i 0.310710 0.584283i
\(341\) 7.48100 + 3.41646i 0.405119 + 0.185012i
\(342\) −0.662851 0.885466i −0.0358429 0.0478805i
\(343\) −18.9537 4.12312i −1.02340 0.222628i
\(344\) −10.8857 −0.586915
\(345\) 21.5488 2.63457i 1.16015 0.141840i
\(346\) 17.9609 0.965583
\(347\) 3.04084 + 0.661494i 0.163241 + 0.0355108i 0.293443 0.955977i \(-0.405199\pi\)
−0.130202 + 0.991487i \(0.541563\pi\)
\(348\) −1.21969 1.62931i −0.0653821 0.0873403i
\(349\) 15.9010 + 7.26173i 0.851159 + 0.388711i 0.792725 0.609580i \(-0.208662\pi\)
0.0584344 + 0.998291i \(0.481389\pi\)
\(350\) −11.8907 + 3.77881i −0.635584 + 0.201986i
\(351\) −2.19601 4.80860i −0.117215 0.256664i
\(352\) 5.19210 + 0.371347i 0.276740 + 0.0197928i
\(353\) −1.35122 1.01151i −0.0719182 0.0538373i 0.562714 0.826652i \(-0.309757\pi\)
−0.634632 + 0.772815i \(0.718848\pi\)
\(354\) −3.69166 + 12.5726i −0.196209 + 0.668227i
\(355\) 8.49320 + 7.19661i 0.450772 + 0.381957i
\(356\) −7.71869 + 12.0105i −0.409090 + 0.636556i
\(357\) 5.85966 + 26.9364i 0.310126 + 1.42563i
\(358\) −1.40411 19.6320i −0.0742093 1.03758i
\(359\) −25.8345 7.58569i −1.36349 0.400358i −0.483500 0.875344i \(-0.660635\pi\)
−0.879993 + 0.474987i \(0.842453\pi\)
\(360\) −1.98196 1.44978i −0.104458 0.0764099i
\(361\) 11.7780 + 13.5926i 0.619897 + 0.715399i
\(362\) −5.75948 2.14818i −0.302712 0.112906i
\(363\) −15.6160 + 28.5986i −0.819628 + 1.50104i
\(364\) −1.42331 + 3.11662i −0.0746018 + 0.163355i
\(365\) −2.68304 + 2.05516i −0.140437 + 0.107572i
\(366\) 9.68478 + 15.0698i 0.506232 + 0.787712i
\(367\) 1.69302 1.69302i 0.0883751 0.0883751i −0.661537 0.749912i \(-0.730096\pi\)
0.749912 + 0.661537i \(0.230096\pi\)
\(368\) −0.495932 + 4.77012i −0.0258522 + 0.248660i
\(369\) 6.14370i 0.319828i
\(370\) −9.33205 14.1741i −0.485150 0.736875i
\(371\) 1.44126 10.0242i 0.0748263 0.520428i
\(372\) 2.99678 1.11774i 0.155376 0.0579521i
\(373\) 10.5239 + 5.74650i 0.544908 + 0.297542i 0.728027 0.685548i \(-0.240437\pi\)
−0.183119 + 0.983091i \(0.558619\pi\)
\(374\) −25.8388 + 11.8002i −1.33609 + 0.610173i
\(375\) −0.865419 + 22.6169i −0.0446900 + 1.16793i
\(376\) −0.304561 2.11827i −0.0157065 0.109241i
\(377\) 0.661568 + 1.21157i 0.0340725 + 0.0623991i
\(378\) −9.58266 + 0.685365i −0.492879 + 0.0352514i
\(379\) −3.52158 2.26318i −0.180892 0.116252i 0.447061 0.894503i \(-0.352471\pi\)
−0.627953 + 0.778251i \(0.716107\pi\)
\(380\) −1.90798 1.19660i −0.0978771 0.0613841i
\(381\) 17.6808 20.4048i 0.905817 1.04537i
\(382\) 8.61548 4.70441i 0.440806 0.240698i
\(383\) 9.82247 13.1213i 0.501905 0.670466i −0.476018 0.879436i \(-0.657920\pi\)
0.977922 + 0.208970i \(0.0670110\pi\)
\(384\) 1.52994 1.32570i 0.0780743 0.0676517i
\(385\) 27.3239 + 9.84870i 1.39255 + 0.501936i
\(386\) −5.78120 + 1.69751i −0.294255 + 0.0864011i
\(387\) −4.17764 11.2007i −0.212362 0.569363i
\(388\) −5.38889 + 4.03407i −0.273579 + 0.204799i
\(389\) 9.25805 5.94979i 0.469402 0.301666i −0.284473 0.958684i \(-0.591819\pi\)
0.753875 + 0.657018i \(0.228182\pi\)
\(390\) 4.44325 + 4.34611i 0.224993 + 0.220074i
\(391\) −10.0999 24.1435i −0.510773 1.22099i
\(392\) −0.546796 0.546796i −0.0276174 0.0276174i
\(393\) 0.993460 4.56686i 0.0501134 0.230368i
\(394\) −22.0967 3.17703i −1.11322 0.160056i
\(395\) 23.3651 + 10.3599i 1.17562 + 0.521266i
\(396\) 1.61051 + 5.48488i 0.0809310 + 0.275626i
\(397\) −2.17028 + 5.81875i −0.108923 + 0.292035i −0.979964 0.199177i \(-0.936173\pi\)
0.871040 + 0.491212i \(0.163446\pi\)
\(398\) −0.0643044 + 0.899093i −0.00322329 + 0.0450674i
\(399\) 5.03612 0.724084i 0.252121 0.0362496i
\(400\) −4.82743 1.30229i −0.241371 0.0651145i
\(401\) 15.6031 + 13.5202i 0.779184 + 0.675167i 0.950734 0.310009i \(-0.100332\pi\)
−0.171550 + 0.985175i \(0.554877\pi\)
\(402\) −31.1387 + 6.77380i −1.55306 + 0.337846i
\(403\) −2.11978 + 0.461130i −0.105594 + 0.0229705i
\(404\) 1.77302 + 1.53633i 0.0882109 + 0.0764352i
\(405\) −6.72215 + 23.8661i −0.334026 + 1.18592i
\(406\) 2.48320 0.357030i 0.123239 0.0177191i
\(407\) −2.81828 + 39.4047i −0.139697 + 1.95322i
\(408\) −3.86059 + 10.3506i −0.191128 + 0.512433i
\(409\) −2.07306 7.06020i −0.102506 0.349104i 0.892229 0.451584i \(-0.149141\pi\)
−0.994735 + 0.102479i \(0.967323\pi\)
\(410\) 4.50090 + 11.6718i 0.222283 + 0.576428i
\(411\) −34.3676 4.94131i −1.69523 0.243737i
\(412\) −4.15167 + 19.0849i −0.204538 + 0.940248i
\(413\) −11.4210 11.4210i −0.561989 0.561989i
\(414\) −5.09850 + 1.32037i −0.250578 + 0.0648926i
\(415\) 18.6346 19.0511i 0.914736 0.935181i
\(416\) −1.15509 + 0.742330i −0.0566329 + 0.0363957i
\(417\) 8.53691 6.39065i 0.418054 0.312951i
\(418\) 1.83218 + 4.91226i 0.0896148 + 0.240267i
\(419\) −8.86926 + 2.60425i −0.433292 + 0.127226i −0.491103 0.871102i \(-0.663406\pi\)
0.0578111 + 0.998328i \(0.481588\pi\)
\(420\) 10.2224 4.80563i 0.498801 0.234491i
\(421\) −26.5051 + 22.9668i −1.29178 + 1.11933i −0.305866 + 0.952074i \(0.598946\pi\)
−0.985913 + 0.167259i \(0.946508\pi\)
\(422\) 13.9555 18.6424i 0.679344 0.907498i
\(423\) 2.06269 1.12631i 0.100291 0.0547632i
\(424\) 2.65773 3.06718i 0.129071 0.148956i
\(425\) 26.5268 6.38769i 1.28674 0.309849i
\(426\) −8.47848 5.44879i −0.410784 0.263995i
\(427\) −22.0245 + 1.57523i −1.06584 + 0.0762306i
\(428\) 2.52137 + 4.61755i 0.121875 + 0.223198i
\(429\) −2.05914 14.3216i −0.0994161 0.691454i
\(430\) −16.1423 18.2185i −0.778452 0.878573i
\(431\) −32.9215 + 15.0347i −1.58577 + 0.724198i −0.996489 0.0837279i \(-0.973317\pi\)
−0.589284 + 0.807926i \(0.700590\pi\)
\(432\) −3.37909 1.84513i −0.162577 0.0887736i
\(433\) 11.3679 4.24002i 0.546307 0.203762i −0.0611298 0.998130i \(-0.519470\pi\)
0.607437 + 0.794368i \(0.292198\pi\)
\(434\) −0.561077 + 3.90237i −0.0269325 + 0.187320i
\(435\) 0.918179 4.45740i 0.0440233 0.213716i
\(436\) 12.2146i 0.584975i
\(437\) −4.57778 + 1.54148i −0.218985 + 0.0737389i
\(438\) 2.16358 2.16358i 0.103380 0.103380i
\(439\) −1.01805 1.58411i −0.0485888 0.0756056i 0.816109 0.577897i \(-0.196127\pi\)
−0.864698 + 0.502292i \(0.832490\pi\)
\(440\) 7.07787 + 9.24029i 0.337424 + 0.440513i
\(441\) 0.352774 0.772468i 0.0167988 0.0367842i
\(442\) 3.59091 6.57626i 0.170802 0.312801i
\(443\) 26.2183 + 9.77891i 1.24567 + 0.464610i 0.883908 0.467661i \(-0.154903\pi\)
0.361760 + 0.932271i \(0.382176\pi\)
\(444\) 10.0612 + 11.6112i 0.477483 + 0.551045i
\(445\) −31.5471 + 4.89221i −1.49548 + 0.231913i
\(446\) 23.7004 + 6.95906i 1.12225 + 0.329521i
\(447\) −0.399356 5.58372i −0.0188889 0.264101i
\(448\) 0.530422 + 2.43831i 0.0250601 + 0.115199i
\(449\) 20.8850 32.4978i 0.985626 1.53366i 0.146871 0.989156i \(-0.453080\pi\)
0.838755 0.544509i \(-0.183284\pi\)
\(450\) −0.512667 5.46692i −0.0241673 0.257713i
\(451\) 8.20436 27.9415i 0.386328 1.31571i
\(452\) −7.43622 5.56668i −0.349770 0.261835i
\(453\) −28.0708 2.00766i −1.31888 0.0943283i
\(454\) 1.28809 + 2.82052i 0.0604530 + 0.132374i
\(455\) −7.32666 + 2.23954i −0.343479 + 0.104991i
\(456\) 1.85471 + 0.847016i 0.0868546 + 0.0396652i
\(457\) −16.3558 21.8488i −0.765092 1.02204i −0.998763 0.0497276i \(-0.984165\pi\)
0.233671 0.972316i \(-0.424926\pi\)
\(458\) −28.6963 6.24249i −1.34089 0.291692i
\(459\) 21.0097 0.980649
\(460\) −8.71879 + 6.24361i −0.406516 + 0.291110i
\(461\) 35.2338 1.64100 0.820501 0.571645i \(-0.193695\pi\)
0.820501 + 0.571645i \(0.193695\pi\)
\(462\) −25.6943 5.58944i −1.19541 0.260044i
\(463\) −2.85711 3.81665i −0.132781 0.177375i 0.729223 0.684276i \(-0.239882\pi\)
−0.862004 + 0.506901i \(0.830791\pi\)
\(464\) 0.914515 + 0.417645i 0.0424553 + 0.0193887i
\(465\) 6.31459 + 3.35798i 0.292832 + 0.155722i
\(466\) 8.59211 + 18.8141i 0.398022 + 0.871546i
\(467\) −11.6625 0.834120i −0.539677 0.0385985i −0.201160 0.979558i \(-0.564471\pi\)
−0.338518 + 0.940960i \(0.609926\pi\)
\(468\) −1.20711 0.903630i −0.0557986 0.0417703i
\(469\) 11.0665 37.6891i 0.511004 1.74032i
\(470\) 3.09355 3.65090i 0.142695 0.168403i
\(471\) 8.88423 13.8241i 0.409364 0.636982i
\(472\) −1.37588 6.32482i −0.0633301 0.291124i
\(473\) 4.04235 + 56.5194i 0.185867 + 2.59877i
\(474\) −22.2021 6.51912i −1.01978 0.299433i
\(475\) −0.826687 4.96766i −0.0379310 0.227932i
\(476\) −8.91731 10.2911i −0.408724 0.471693i
\(477\) 4.17592 + 1.55754i 0.191202 + 0.0713147i
\(478\) −2.42619 + 4.44323i −0.110971 + 0.203229i
\(479\) −10.1479 + 22.2208i −0.463670 + 1.01530i 0.522966 + 0.852354i \(0.324826\pi\)
−0.986636 + 0.162942i \(0.947902\pi\)
\(480\) 4.48746 + 0.594660i 0.204824 + 0.0271424i
\(481\) −5.63380 8.76637i −0.256879 0.399712i
\(482\) 4.96100 4.96100i 0.225967 0.225967i
\(483\) 5.90902 23.4947i 0.268870 1.06905i
\(484\) 16.0958i 0.731629i
\(485\) −14.7427 3.03684i −0.669431 0.137896i
\(486\) 1.55088 10.7866i 0.0703492 0.489289i
\(487\) 15.4191 5.75103i 0.698707 0.260604i 0.0250903 0.999685i \(-0.492013\pi\)
0.673617 + 0.739081i \(0.264740\pi\)
\(488\) −7.76643 4.24079i −0.351570 0.191972i
\(489\) 4.20340 1.91963i 0.190084 0.0868086i
\(490\) 0.104286 1.72597i 0.00471118 0.0779716i
\(491\) 4.09839 + 28.5049i 0.184958 + 1.28641i 0.844831 + 0.535033i \(0.179701\pi\)
−0.659873 + 0.751377i \(0.729390\pi\)
\(492\) −5.42766 9.94002i −0.244698 0.448131i
\(493\) −5.47233 + 0.391389i −0.246461 + 0.0176273i
\(494\) −1.16340 0.747672i −0.0523438 0.0336393i
\(495\) −6.79140 + 10.8289i −0.305251 + 0.486723i
\(496\) −1.03465 + 1.19404i −0.0464569 + 0.0536142i
\(497\) 10.9034 5.95369i 0.489083 0.267060i
\(498\) −14.4586 + 19.3144i −0.647906 + 0.865501i
\(499\) 12.6018 10.9195i 0.564135 0.488826i −0.325472 0.945552i \(-0.605523\pi\)
0.889608 + 0.456726i \(0.150978\pi\)
\(500\) −4.97905 10.0105i −0.222670 0.447681i
\(501\) −36.4194 + 10.6937i −1.62710 + 0.477759i
\(502\) 1.28458 + 3.44408i 0.0573335 + 0.153717i
\(503\) −19.1790 + 14.3572i −0.855148 + 0.640156i −0.934214 0.356714i \(-0.883897\pi\)
0.0790658 + 0.996869i \(0.474806\pi\)
\(504\) −2.30532 + 1.48154i −0.102687 + 0.0659929i
\(505\) 0.0579734 + 5.24558i 0.00257978 + 0.233425i
\(506\) 24.9511 + 0.803560i 1.10921 + 0.0357226i
\(507\) −15.9103 15.9103i −0.706602 0.706602i
\(508\) −2.83499 + 13.0322i −0.125782 + 0.578211i
\(509\) 27.7578 + 3.99096i 1.23034 + 0.176896i 0.726663 0.686995i \(-0.241070\pi\)
0.503679 + 0.863891i \(0.331979\pi\)
\(510\) −23.0479 + 8.88779i −1.02058 + 0.393558i
\(511\) 1.06258 + 3.61880i 0.0470056 + 0.160086i
\(512\) −0.349464 + 0.936950i −0.0154443 + 0.0414077i
\(513\) 0.276635 3.86786i 0.0122137 0.170770i
\(514\) 17.1180 2.46119i 0.755040 0.108558i
\(515\) −38.0975 + 21.3527i −1.67878 + 0.940913i
\(516\) 16.6544 + 14.4311i 0.733167 + 0.635293i
\(517\) −10.8852 + 2.36792i −0.478729 + 0.104141i
\(518\) −18.5052 + 4.02556i −0.813072 + 0.176873i
\(519\) −27.4790 23.8107i −1.20619 1.04517i
\(520\) −2.95526 0.832380i −0.129597 0.0365023i
\(521\) −35.7384 + 5.13840i −1.56573 + 0.225117i −0.869949 0.493141i \(-0.835849\pi\)
−0.695776 + 0.718258i \(0.744940\pi\)
\(522\) −0.0787639 + 1.10126i −0.00344740 + 0.0482010i
\(523\) 9.47511 25.4038i 0.414318 1.11083i −0.547420 0.836858i \(-0.684390\pi\)
0.961738 0.273971i \(-0.0883373\pi\)
\(524\) 0.650428 + 2.21516i 0.0284141 + 0.0967695i
\(525\) 23.2016 + 9.98212i 1.01260 + 0.435655i
\(526\) −19.3411 2.78083i −0.843311 0.121250i
\(527\) 1.83270 8.42477i 0.0798335 0.366989i
\(528\) −7.45130 7.45130i −0.324276 0.324276i
\(529\) −1.47991 + 22.9523i −0.0643440 + 0.997928i
\(530\) 9.07445 0.100289i 0.394169 0.00435630i
\(531\) 5.97984 3.84301i 0.259503 0.166772i
\(532\) −2.01200 + 1.50616i −0.0872311 + 0.0653004i
\(533\) 2.68440 + 7.19715i 0.116274 + 0.311743i
\(534\) 27.7314 8.14268i 1.20006 0.352368i
\(535\) −3.98909 + 11.0672i −0.172463 + 0.478476i
\(536\) 11.8966 10.3085i 0.513854 0.445257i
\(537\) −23.8779 + 31.8971i −1.03041 + 1.37646i
\(538\) −15.2346 + 8.31872i −0.656810 + 0.358645i
\(539\) −2.63597 + 3.04207i −0.113539 + 0.131031i
\(540\) −1.92281 8.39146i −0.0827448 0.361111i
\(541\) 13.6187 + 8.75223i 0.585515 + 0.376288i 0.799605 0.600526i \(-0.205042\pi\)
−0.214090 + 0.976814i \(0.568679\pi\)
\(542\) −7.38786 + 0.528390i −0.317336 + 0.0226963i
\(543\) 5.96381 + 10.9219i 0.255932 + 0.468704i
\(544\) −0.776615 5.40147i −0.0332971 0.231586i
\(545\) −20.4427 + 18.1131i −0.875668 + 0.775878i
\(546\) 6.30927 2.88135i 0.270012 0.123310i
\(547\) −6.10085 3.33131i −0.260853 0.142437i 0.343501 0.939152i \(-0.388387\pi\)
−0.604354 + 0.796716i \(0.706569\pi\)
\(548\) 16.0699 5.99376i 0.686472 0.256041i
\(549\) 1.38296 9.61870i 0.0590233 0.410516i
\(550\) −4.96898 + 25.5481i −0.211878 + 1.08937i
\(551\) 1.01260i 0.0431383i
\(552\) 7.08248 6.64053i 0.301450 0.282640i
\(553\) 20.1684 20.1684i 0.857646 0.857646i
\(554\) 0.481724 + 0.749577i 0.0204665 + 0.0318465i
\(555\) −4.51308 + 34.0569i −0.191570 + 1.44563i
\(556\) −2.18828 + 4.79167i −0.0928039 + 0.203212i
\(557\) −2.60630 + 4.77307i −0.110432 + 0.202242i −0.927050 0.374937i \(-0.877664\pi\)
0.816618 + 0.577178i \(0.195846\pi\)
\(558\) −1.62567 0.606344i −0.0688202 0.0256686i
\(559\) −9.78795 11.2959i −0.413986 0.477765i
\(560\) −3.29425 + 4.50350i −0.139207 + 0.190307i
\(561\) 55.1752 + 16.2009i 2.32950 + 0.684003i
\(562\) 1.45123 + 20.2908i 0.0612163 + 0.855915i
\(563\) −5.84484 26.8683i −0.246330 1.13236i −0.919566 0.392935i \(-0.871460\pi\)
0.673236 0.739428i \(-0.264904\pi\)
\(564\) −2.34222 + 3.64457i −0.0986254 + 0.153464i
\(565\) −1.71064 20.7002i −0.0719671 0.870866i
\(566\) 0.423358 1.44182i 0.0177950 0.0606044i
\(567\) 22.1507 + 16.5818i 0.930242 + 0.696371i
\(568\) 4.96578 + 0.355160i 0.208360 + 0.0149022i
\(569\) 9.62402 + 21.0737i 0.403460 + 0.883454i 0.996908 + 0.0785812i \(0.0250390\pi\)
−0.593448 + 0.804872i \(0.702234\pi\)
\(570\) 1.33276 + 4.36012i 0.0558231 + 0.182625i
\(571\) −16.2179 7.40648i −0.678700 0.309952i 0.0460748 0.998938i \(-0.485329\pi\)
−0.724774 + 0.688986i \(0.758056\pi\)
\(572\) 4.28319 + 5.72167i 0.179089 + 0.239235i
\(573\) −19.4178 4.22408i −0.811189 0.176463i
\(574\) 13.9600 0.582679
\(575\) −23.3785 5.33333i −0.974952 0.222415i
\(576\) −1.09818 −0.0457576
\(577\) 25.4499 + 5.53628i 1.05949 + 0.230478i 0.708363 0.705849i \(-0.249434\pi\)
0.351129 + 0.936327i \(0.385798\pi\)
\(578\) 7.65820 + 10.2302i 0.318539 + 0.425518i
\(579\) 11.0953 + 5.06703i 0.461103 + 0.210579i
\(580\) 0.657154 + 2.14988i 0.0272868 + 0.0892688i
\(581\) −12.3542 27.0519i −0.512538 1.12230i
\(582\) 13.5926 + 0.972163i 0.563432 + 0.0402975i
\(583\) −16.9121 12.6602i −0.700426 0.524332i
\(584\) −0.425824 + 1.45022i −0.0176207 + 0.0600107i
\(585\) −0.277685 3.36023i −0.0114809 0.138929i
\(586\) 11.3627 17.6808i 0.469390 0.730385i
\(587\) 5.04250 + 23.1800i 0.208126 + 0.956742i 0.956106 + 0.293020i \(0.0946603\pi\)
−0.747980 + 0.663721i \(0.768976\pi\)
\(588\) 0.111677 + 1.56145i 0.00460549 + 0.0643931i
\(589\) −1.52686 0.448326i −0.0629130 0.0184729i
\(590\) 8.54507 11.6818i 0.351795 0.480931i
\(591\) 29.5948 + 34.1542i 1.21737 + 1.40492i
\(592\) −7.11084 2.65221i −0.292254 0.109005i
\(593\) −5.38502 + 9.86194i −0.221136 + 0.404981i −0.964569 0.263829i \(-0.915014\pi\)
0.743433 + 0.668810i \(0.233196\pi\)
\(594\) −8.32527 + 18.2298i −0.341590 + 0.747977i
\(595\) 3.99998 30.1849i 0.163983 1.23746i
\(596\) 1.49501 + 2.32629i 0.0612381 + 0.0952884i
\(597\) 1.29031 1.29031i 0.0528087 0.0528087i
\(598\) −5.39581 + 3.77448i −0.220651 + 0.154350i
\(599\) 15.7648i 0.644132i 0.946717 + 0.322066i \(0.104377\pi\)
−0.946717 + 0.322066i \(0.895623\pi\)
\(600\) 5.65921 + 8.39213i 0.231036 + 0.342607i
\(601\) 2.33259 16.2235i 0.0951484 0.661772i −0.885304 0.465013i \(-0.846049\pi\)
0.980452 0.196758i \(-0.0630414\pi\)
\(602\) −25.4507 + 9.49263i −1.03729 + 0.386891i
\(603\) 15.1724 + 8.28476i 0.617868 + 0.337381i
\(604\) 12.6454 5.77497i 0.514535 0.234980i
\(605\) 26.9383 23.8685i 1.09520 0.970393i
\(606\) −0.675897 4.70097i −0.0274565 0.190964i
\(607\) −12.0636 22.0928i −0.489645 0.896717i −0.999339 0.0363615i \(-0.988423\pi\)
0.509694 0.860356i \(-0.329759\pi\)
\(608\) −1.00463 + 0.0718525i −0.0407431 + 0.00291401i
\(609\) −4.27245 2.74574i −0.173128 0.111263i
\(610\) −4.41935 19.2867i −0.178934 0.780897i
\(611\) 1.92425 2.22070i 0.0778468 0.0898399i
\(612\) 5.25975 2.87204i 0.212613 0.116095i
\(613\) −16.5798 + 22.1480i −0.669652 + 0.894550i −0.998762 0.0497415i \(-0.984160\pi\)
0.329110 + 0.944291i \(0.393251\pi\)
\(614\) 8.25624 7.15408i 0.333195 0.288715i
\(615\) 8.58716 23.8239i 0.346268 0.960673i
\(616\) 12.4630 3.65947i 0.502148 0.147444i
\(617\) −15.0866 40.4488i −0.607364 1.62841i −0.767307 0.641280i \(-0.778404\pi\)
0.159943 0.987126i \(-0.448869\pi\)
\(618\) 31.6527 23.6949i 1.27326 0.953148i
\(619\) 33.0086 21.2133i 1.32673 0.852636i 0.330880 0.943673i \(-0.392654\pi\)
0.995848 + 0.0910364i \(0.0290180\pi\)
\(620\) −3.53265 + 0.0390424i −0.141875 + 0.00156798i
\(621\) −16.5400 8.20692i −0.663725 0.329333i
\(622\) −5.25624 5.25624i −0.210756 0.210756i
\(623\) −7.57280 + 34.8116i −0.303398 + 1.39470i
\(624\) 2.75132 + 0.395580i 0.110141 + 0.0158359i
\(625\) 9.37029 23.1775i 0.374811 0.927101i
\(626\) −5.52887 18.8296i −0.220978 0.752582i
\(627\) 3.70906 9.94437i 0.148125 0.397140i
\(628\) −0.579087 + 8.09669i −0.0231081 + 0.323093i
\(629\) 40.9937 5.89400i 1.63453 0.235009i
\(630\) −5.89808 1.66126i −0.234985 0.0661861i
\(631\) −9.58258 8.30335i −0.381476 0.330551i 0.442923 0.896560i \(-0.353941\pi\)
−0.824399 + 0.566008i \(0.808487\pi\)
\(632\) 11.1690 2.42968i 0.444281 0.0966474i
\(633\) −46.0653 + 10.0209i −1.83093 + 0.398294i
\(634\) −7.62336 6.60568i −0.302762 0.262345i
\(635\) −26.0150 + 14.5808i −1.03237 + 0.578620i
\(636\) −8.13231 + 1.16925i −0.322467 + 0.0463638i
\(637\) 0.0757455 1.05906i 0.00300115 0.0419615i
\(638\) 1.82885 4.90335i 0.0724050 0.194125i
\(639\) 1.54031 + 5.24580i 0.0609335 + 0.207521i
\(640\) −2.08632 + 0.804531i −0.0824690 + 0.0318019i
\(641\) 28.8434 + 4.14705i 1.13924 + 0.163799i 0.686009 0.727593i \(-0.259361\pi\)
0.453235 + 0.891391i \(0.350270\pi\)
\(642\) 2.26393 10.4071i 0.0893503 0.410737i
\(643\) 15.5208 + 15.5208i 0.612081 + 0.612081i 0.943488 0.331407i \(-0.107523\pi\)
−0.331407 + 0.943488i \(0.607523\pi\)
\(644\) 3.00020 + 11.5850i 0.118225 + 0.456515i
\(645\) 0.544558 + 49.2730i 0.0214419 + 1.94012i
\(646\) 4.62377 2.97152i 0.181920 0.116913i
\(647\) 2.13103 1.59527i 0.0837792 0.0627164i −0.556567 0.830803i \(-0.687882\pi\)
0.640346 + 0.768086i \(0.278791\pi\)
\(648\) 3.87505 + 10.3894i 0.152226 + 0.408134i
\(649\) −32.3282 + 9.49242i −1.26899 + 0.372610i
\(650\) −2.98926 6.18032i −0.117248 0.242412i
\(651\) 6.03178 5.22657i 0.236404 0.204845i
\(652\) −1.36794 + 1.82736i −0.0535727 + 0.0715648i
\(653\) 18.8914 10.3155i 0.739279 0.403677i −0.0650340 0.997883i \(-0.520716\pi\)
0.804313 + 0.594206i \(0.202534\pi\)
\(654\) 16.1929 18.6876i 0.633193 0.730743i
\(655\) −2.74281 + 4.37342i −0.107171 + 0.170884i
\(656\) 4.70634 + 3.02458i 0.183752 + 0.118090i
\(657\) −1.65562 + 0.118412i −0.0645917 + 0.00461969i
\(658\) −2.55926 4.68694i −0.0997704 0.182716i
\(659\) −2.14422 14.9134i −0.0835269 0.580942i −0.988005 0.154422i \(-0.950648\pi\)
0.904478 0.426520i \(-0.140261\pi\)
\(660\) 1.42113 23.5202i 0.0553175 0.915522i
\(661\) 9.09464 4.15338i 0.353741 0.161548i −0.230616 0.973045i \(-0.574074\pi\)
0.584357 + 0.811497i \(0.301347\pi\)
\(662\) −6.25379 3.41483i −0.243060 0.132721i
\(663\) −14.2120 + 5.30081i −0.551949 + 0.205866i
\(664\) 1.69611 11.7967i 0.0658217 0.457800i
\(665\) −5.50433 1.13384i −0.213449 0.0439682i
\(666\) 8.33449i 0.322955i
\(667\) 4.46100 + 1.82951i 0.172730 + 0.0708389i
\(668\) 13.2581 13.2581i 0.512970 0.512970i
\(669\) −27.0345 42.0665i −1.04521 1.62638i
\(670\) 34.8939 + 4.62399i 1.34807 + 0.178640i
\(671\) −19.1346 + 41.8989i −0.738682 + 1.61749i
\(672\) 2.42095 4.43364i 0.0933903 0.171031i
\(673\) −45.7110 17.0493i −1.76203 0.657203i −0.999953 0.00971802i \(-0.996907\pi\)
−0.762078 0.647485i \(-0.775821\pi\)
\(674\) 16.7136 + 19.2885i 0.643784 + 0.742967i
\(675\) 11.1928 15.6618i 0.430811 0.602821i
\(676\) 10.6645 + 3.13138i 0.410173 + 0.120438i
\(677\) −1.21516 16.9901i −0.0467023 0.652983i −0.965855 0.259082i \(-0.916580\pi\)
0.919153 0.393901i \(-0.128875\pi\)
\(678\) 3.99720 + 18.3748i 0.153512 + 0.705682i
\(679\) −9.08142 + 14.1310i −0.348513 + 0.542297i
\(680\) 7.88838 9.30960i 0.302506 0.357007i
\(681\) 1.76846 6.02283i 0.0677676 0.230795i
\(682\) 6.58381 + 4.92858i 0.252107 + 0.188725i
\(683\) 6.18845 + 0.442607i 0.236794 + 0.0169359i 0.189232 0.981932i \(-0.439400\pi\)
0.0475624 + 0.998868i \(0.484855\pi\)
\(684\) −0.459484 1.00613i −0.0175688 0.0384703i
\(685\) 33.8613 + 18.0068i 1.29377 + 0.688003i
\(686\) −17.6441 8.05780i −0.673655 0.307648i
\(687\) 35.6278 + 47.5932i 1.35929 + 1.81579i
\(688\) −10.6369 2.31391i −0.405527 0.0882171i
\(689\) 5.57250 0.212295
\(690\) 21.6163 + 2.00616i 0.822920 + 0.0763734i
\(691\) −11.2595 −0.428330 −0.214165 0.976797i \(-0.568703\pi\)
−0.214165 + 0.976797i \(0.568703\pi\)
\(692\) 17.5504 + 3.81786i 0.667167 + 0.145133i
\(693\) 8.54836 + 11.4193i 0.324725 + 0.433782i
\(694\) 2.83073 + 1.29275i 0.107453 + 0.0490722i
\(695\) −11.2645 + 3.44321i −0.427285 + 0.130608i
\(696\) −0.845479 1.85134i −0.0320478 0.0701749i
\(697\) −30.4511 2.17791i −1.15342 0.0824942i
\(698\) 13.9940 + 10.4758i 0.529680 + 0.396514i
\(699\) 11.7964 40.1749i 0.446181 1.51955i
\(700\) −12.4222 + 1.16490i −0.469515 + 0.0440293i
\(701\) −4.89785 + 7.62120i −0.184989 + 0.287849i −0.921345 0.388746i \(-0.872909\pi\)
0.736356 + 0.676594i \(0.236545\pi\)
\(702\) −1.12369 5.16550i −0.0424108 0.194959i
\(703\) −0.545314 7.62449i −0.0205669 0.287563i
\(704\) 4.99451 + 1.46652i 0.188238 + 0.0552716i
\(705\) −9.57292 + 1.48453i −0.360537 + 0.0559108i
\(706\) −1.10533 1.27562i −0.0415996 0.0480085i
\(707\) 5.48505 + 2.04582i 0.206287 + 0.0769409i
\(708\) −6.27979 + 11.5006i −0.236009 + 0.432218i
\(709\) −2.15359 + 4.71571i −0.0808798 + 0.177102i −0.945751 0.324891i \(-0.894672\pi\)
0.864872 + 0.501993i \(0.167400\pi\)
\(710\) 6.76935 + 8.83751i 0.254049 + 0.331666i
\(711\) 6.78640 + 10.5598i 0.254510 + 0.396025i
\(712\) −10.0953 + 10.0953i −0.378338 + 0.378338i
\(713\) −4.73372 + 5.91652i −0.177279 + 0.221576i
\(714\) 27.5664i 1.03165i
\(715\) −3.22438 + 15.6531i −0.120585 + 0.585393i
\(716\) 2.80106 19.4818i 0.104680 0.728068i
\(717\) 9.60229 3.58147i 0.358604 0.133752i
\(718\) −23.6316 12.9039i −0.881925 0.481568i
\(719\) −26.3786 + 12.0467i −0.983757 + 0.449267i −0.841320 0.540537i \(-0.818221\pi\)
−0.142437 + 0.989804i \(0.545494\pi\)
\(720\) −1.62849 1.83794i −0.0606903 0.0684960i
\(721\) 6.93602 + 48.2411i 0.258311 + 1.79659i
\(722\) 8.61956 + 15.7855i 0.320787 + 0.587477i
\(723\) −14.1668 + 1.01323i −0.526869 + 0.0376824i
\(724\) −5.17123 3.32335i −0.192187 0.123511i
\(725\) −2.62359 + 4.28788i −0.0974377 + 0.159248i
\(726\) −21.3382 + 24.6256i −0.791935 + 0.913942i
\(727\) 35.5270 19.3992i 1.31762 0.719477i 0.342161 0.939641i \(-0.388841\pi\)
0.975463 + 0.220165i \(0.0706595\pi\)
\(728\) −2.05327 + 2.74285i −0.0760992 + 0.101657i
\(729\) 8.46799 7.33756i 0.313629 0.271761i
\(730\) −3.05858 + 1.43787i −0.113203 + 0.0532179i
\(731\) 56.9970 16.7358i 2.10811 0.618997i
\(732\) 6.26014 + 16.7841i 0.231381 + 0.620357i
\(733\) 29.5914 22.1518i 1.09298 0.818197i 0.108573 0.994088i \(-0.465372\pi\)
0.984409 + 0.175892i \(0.0562809\pi\)
\(734\) 2.01421 1.29445i 0.0743459 0.0477792i
\(735\) −2.44767 + 2.50238i −0.0902837 + 0.0923016i
\(736\) −1.49856 + 4.55569i −0.0552377 + 0.167925i
\(737\) −57.9403 57.9403i −2.13426 2.13426i
\(738\) −1.30594 + 6.00330i −0.0480722 + 0.220985i
\(739\) −24.9738 3.59068i −0.918674 0.132085i −0.333274 0.942830i \(-0.608154\pi\)
−0.585400 + 0.810744i \(0.699063\pi\)
\(740\) −6.10587 15.8338i −0.224456 0.582063i
\(741\) 0.788742 + 2.68621i 0.0289752 + 0.0986803i
\(742\) 3.53911 9.48871i 0.129925 0.348342i
\(743\) 1.21241 16.9518i 0.0444792 0.621900i −0.925506 0.378734i \(-0.876360\pi\)
0.969985 0.243166i \(-0.0781859\pi\)
\(744\) 3.16588 0.455185i 0.116067 0.0166879i
\(745\) −1.67637 + 5.95173i −0.0614174 + 0.218055i
\(746\) 9.06192 + 7.85220i 0.331780 + 0.287489i
\(747\) 12.7890 2.78208i 0.467925 0.101791i
\(748\) −27.7566 + 6.03808i −1.01488 + 0.220774i
\(749\) 9.92163 + 8.59714i 0.362529 + 0.314133i
\(750\) −5.65321 + 21.9161i −0.206426 + 0.800262i
\(751\) −14.4599 + 2.07903i −0.527651 + 0.0758647i −0.400992 0.916082i \(-0.631334\pi\)
−0.126659 + 0.991946i \(0.540425\pi\)
\(752\) 0.152669 2.13460i 0.00556728 0.0778408i
\(753\) 2.60049 6.97219i 0.0947672 0.254081i
\(754\) 0.388911 + 1.32451i 0.0141633 + 0.0482358i
\(755\) 28.4170 + 12.5999i 1.03420 + 0.458559i
\(756\) −9.50935 1.36724i −0.345852 0.0497260i
\(757\) 4.73311 21.7578i 0.172028 0.790800i −0.807560 0.589785i \(-0.799212\pi\)
0.979588 0.201015i \(-0.0644239\pi\)
\(758\) −2.96003 2.96003i −0.107513 0.107513i
\(759\) −37.1084 34.3070i −1.34695 1.24527i
\(760\) −1.61002 1.57482i −0.0584015 0.0571247i
\(761\) 24.2884 15.6092i 0.880454 0.565833i −0.0204797 0.999790i \(-0.506519\pi\)
0.900934 + 0.433957i \(0.142883\pi\)
\(762\) 21.6141 16.1801i 0.782997 0.586144i
\(763\) 10.6515 + 28.5579i 0.385612 + 1.03386i
\(764\) 9.41858 2.76554i 0.340752 0.100054i
\(765\) 12.6064 + 4.54389i 0.455785 + 0.164285i
\(766\) 12.3871 10.7335i 0.447565 0.387817i
\(767\) 5.32604 7.11476i 0.192312 0.256899i
\(768\) 1.77677 0.970190i 0.0641137 0.0350087i
\(769\) −9.50097 + 10.9647i −0.342614 + 0.395397i −0.900740 0.434359i \(-0.856975\pi\)
0.558126 + 0.829756i \(0.311521\pi\)
\(770\) 24.6059 + 15.4317i 0.886736 + 0.556121i
\(771\) −29.4522 18.9278i −1.06069 0.681667i
\(772\) −6.00991 + 0.429837i −0.216301