Properties

Label 171.2.x.a.110.13
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.13
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12318 - 0.942457i) q^{2} +(-1.13434 + 1.30892i) q^{3} +(0.0260041 - 0.147477i) q^{4} +(-0.668800 + 1.83751i) q^{5} +(-0.0404630 + 2.53922i) q^{6} +(1.13552 + 1.96677i) q^{7} +(1.35642 + 2.34939i) q^{8} +(-0.426545 - 2.96952i) q^{9} +O(q^{10})\) \(q+(1.12318 - 0.942457i) q^{2} +(-1.13434 + 1.30892i) q^{3} +(0.0260041 - 0.147477i) q^{4} +(-0.668800 + 1.83751i) q^{5} +(-0.0404630 + 2.53922i) q^{6} +(1.13552 + 1.96677i) q^{7} +(1.35642 + 2.34939i) q^{8} +(-0.426545 - 2.96952i) q^{9} +(0.980596 + 2.69417i) q^{10} -2.71236i q^{11} +(0.163538 + 0.201326i) q^{12} +(-0.159200 - 0.437399i) q^{13} +(3.12899 + 1.13886i) q^{14} +(-1.64651 - 2.95977i) q^{15} +(4.01914 + 1.46285i) q^{16} +(0.305357 - 0.838961i) q^{17} +(-3.27773 - 2.93330i) q^{18} +(4.01881 - 1.68795i) q^{19} +(0.253598 + 0.146415i) q^{20} +(-3.86241 - 0.744688i) q^{21} +(-2.55629 - 3.04646i) q^{22} +(-6.24730 - 1.10157i) q^{23} +(-4.61380 - 0.889560i) q^{24} +(0.901063 + 0.756082i) q^{25} +(-0.591040 - 0.341237i) q^{26} +(4.37071 + 2.81013i) q^{27} +(0.319581 - 0.116318i) q^{28} +(1.09262 - 6.19653i) q^{29} +(-4.63878 - 1.77258i) q^{30} +5.62872i q^{31} +(0.794402 - 0.289139i) q^{32} +(3.55027 + 3.07674i) q^{33} +(-0.447715 - 1.23009i) q^{34} +(-4.37340 + 0.771149i) q^{35} +(-0.449027 - 0.0143143i) q^{36} -6.58174i q^{37} +(2.92301 - 5.68342i) q^{38} +(0.753108 + 0.287779i) q^{39} +(-5.22420 + 0.921168i) q^{40} +(6.32337 - 5.30594i) q^{41} +(-5.04001 + 2.80374i) q^{42} +(1.22288 + 6.93529i) q^{43} +(-0.400010 - 0.0705325i) q^{44} +(5.74181 + 1.20223i) q^{45} +(-8.05501 + 4.65056i) q^{46} +(3.78521 + 0.667435i) q^{47} +(-6.47382 + 3.60137i) q^{48} +(0.921203 - 1.59557i) q^{49} +1.72463 q^{50} +(0.751754 + 1.35135i) q^{51} +(-0.0686460 + 0.0121041i) q^{52} +(-9.68783 - 8.12906i) q^{53} +(7.55752 - 0.962934i) q^{54} +(4.98400 + 1.81403i) q^{55} +(-3.08048 + 5.33554i) q^{56} +(-2.34930 + 7.17501i) q^{57} +(-4.61277 - 7.98954i) q^{58} +(0.779418 + 4.42030i) q^{59} +(-0.479313 + 0.165856i) q^{60} +(-8.05643 + 2.93230i) q^{61} +(5.30483 + 6.32205i) q^{62} +(5.35603 - 4.21086i) q^{63} +(-3.65732 + 6.33467i) q^{64} +0.910200 q^{65} +(6.88727 + 0.109750i) q^{66} +(1.97625 - 2.35520i) q^{67} +(-0.115786 - 0.0668493i) q^{68} +(8.52843 - 6.92767i) q^{69} +(-4.18533 + 4.98788i) q^{70} +(0.0740818 - 0.0621620i) q^{71} +(6.39799 - 5.03004i) q^{72} +(1.14388 + 6.48728i) q^{73} +(-6.20301 - 7.39246i) q^{74} +(-2.01176 + 0.321766i) q^{75} +(-0.144428 - 0.636574i) q^{76} +(5.33460 - 3.07993i) q^{77} +(1.11709 - 0.386546i) q^{78} +(4.08113 - 11.2128i) q^{79} +(-5.37600 + 6.40687i) q^{80} +(-8.63612 + 2.53327i) q^{81} +(2.10164 - 11.9190i) q^{82} +(-3.19959 + 1.84728i) q^{83} +(-0.210263 + 0.550250i) q^{84} +(1.33738 + 1.12219i) q^{85} +(7.90972 + 6.63705i) q^{86} +(6.87137 + 8.45912i) q^{87} +(6.37239 - 3.67910i) q^{88} +(1.41419 - 8.02027i) q^{89} +(7.58212 - 4.06109i) q^{90} +(0.679491 - 0.809785i) q^{91} +(-0.324911 + 0.892685i) q^{92} +(-7.36754 - 6.38488i) q^{93} +(4.88049 - 2.81775i) q^{94} +(0.413851 + 8.51351i) q^{95} +(-0.522662 + 1.36779i) q^{96} +(-2.63287 - 3.13774i) q^{97} +(-0.469083 - 2.66030i) q^{98} +(-8.05442 + 1.15694i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12318 0.942457i 0.794206 0.666418i −0.152577 0.988292i \(-0.548757\pi\)
0.946783 + 0.321874i \(0.104313\pi\)
\(3\) −1.13434 + 1.30892i −0.654912 + 0.755706i
\(4\) 0.0260041 0.147477i 0.0130020 0.0737383i
\(5\) −0.668800 + 1.83751i −0.299096 + 0.821761i 0.695555 + 0.718473i \(0.255159\pi\)
−0.994652 + 0.103288i \(0.967064\pi\)
\(6\) −0.0404630 + 2.53922i −0.0165190 + 1.03663i
\(7\) 1.13552 + 1.96677i 0.429185 + 0.743370i 0.996801 0.0799232i \(-0.0254675\pi\)
−0.567616 + 0.823293i \(0.692134\pi\)
\(8\) 1.35642 + 2.34939i 0.479567 + 0.830634i
\(9\) −0.426545 2.96952i −0.142182 0.989841i
\(10\) 0.980596 + 2.69417i 0.310092 + 0.851970i
\(11\) 2.71236i 0.817808i −0.912577 0.408904i \(-0.865911\pi\)
0.912577 0.408904i \(-0.134089\pi\)
\(12\) 0.163538 + 0.201326i 0.0472092 + 0.0581178i
\(13\) −0.159200 0.437399i −0.0441542 0.121313i 0.915656 0.401963i \(-0.131672\pi\)
−0.959810 + 0.280650i \(0.909450\pi\)
\(14\) 3.12899 + 1.13886i 0.836256 + 0.304372i
\(15\) −1.64651 2.95977i −0.425127 0.764209i
\(16\) 4.01914 + 1.46285i 1.00478 + 0.365712i
\(17\) 0.305357 0.838961i 0.0740599 0.203478i −0.897139 0.441749i \(-0.854358\pi\)
0.971199 + 0.238271i \(0.0765806\pi\)
\(18\) −3.27773 2.93330i −0.772569 0.691385i
\(19\) 4.01881 1.68795i 0.921978 0.387242i
\(20\) 0.253598 + 0.146415i 0.0567063 + 0.0327394i
\(21\) −3.86241 0.744688i −0.842847 0.162504i
\(22\) −2.55629 3.04646i −0.545002 0.649508i
\(23\) −6.24730 1.10157i −1.30265 0.229693i −0.521080 0.853508i \(-0.674471\pi\)
−0.781572 + 0.623815i \(0.785582\pi\)
\(24\) −4.61380 0.889560i −0.941789 0.181581i
\(25\) 0.901063 + 0.756082i 0.180213 + 0.151216i
\(26\) −0.591040 0.341237i −0.115913 0.0669221i
\(27\) 4.37071 + 2.81013i 0.841144 + 0.540811i
\(28\) 0.319581 0.116318i 0.0603951 0.0219820i
\(29\) 1.09262 6.19653i 0.202894 1.15067i −0.697826 0.716267i \(-0.745849\pi\)
0.900720 0.434400i \(-0.143040\pi\)
\(30\) −4.63878 1.77258i −0.846921 0.323627i
\(31\) 5.62872i 1.01095i 0.862842 + 0.505474i \(0.168682\pi\)
−0.862842 + 0.505474i \(0.831318\pi\)
\(32\) 0.794402 0.289139i 0.140432 0.0511130i
\(33\) 3.55027 + 3.07674i 0.618022 + 0.535592i
\(34\) −0.447715 1.23009i −0.0767825 0.210958i
\(35\) −4.37340 + 0.771149i −0.739240 + 0.130348i
\(36\) −0.449027 0.0143143i −0.0748378 0.00238572i
\(37\) 6.58174i 1.08203i −0.841012 0.541016i \(-0.818040\pi\)
0.841012 0.541016i \(-0.181960\pi\)
\(38\) 2.92301 5.68342i 0.474175 0.921973i
\(39\) 0.753108 + 0.287779i 0.120594 + 0.0460815i
\(40\) −5.22420 + 0.921168i −0.826019 + 0.145649i
\(41\) 6.32337 5.30594i 0.987545 0.828649i 0.00233446 0.999997i \(-0.499257\pi\)
0.985210 + 0.171349i \(0.0548125\pi\)
\(42\) −5.04001 + 2.80374i −0.777690 + 0.432627i
\(43\) 1.22288 + 6.93529i 0.186487 + 1.05762i 0.924030 + 0.382321i \(0.124875\pi\)
−0.737542 + 0.675301i \(0.764014\pi\)
\(44\) −0.400010 0.0705325i −0.0603037 0.0106332i
\(45\) 5.74181 + 1.20223i 0.855938 + 0.179218i
\(46\) −8.05501 + 4.65056i −1.18765 + 0.685688i
\(47\) 3.78521 + 0.667435i 0.552130 + 0.0973553i 0.442751 0.896645i \(-0.354003\pi\)
0.109379 + 0.994000i \(0.465114\pi\)
\(48\) −6.47382 + 3.60137i −0.934415 + 0.519812i
\(49\) 0.921203 1.59557i 0.131600 0.227939i
\(50\) 1.72463 0.243899
\(51\) 0.751754 + 1.35135i 0.105267 + 0.189227i
\(52\) −0.0686460 + 0.0121041i −0.00951949 + 0.00167854i
\(53\) −9.68783 8.12906i −1.33073 1.11661i −0.983907 0.178680i \(-0.942817\pi\)
−0.346819 0.937932i \(-0.612738\pi\)
\(54\) 7.55752 0.962934i 1.02845 0.131039i
\(55\) 4.98400 + 1.81403i 0.672042 + 0.244603i
\(56\) −3.08048 + 5.33554i −0.411646 + 0.712991i
\(57\) −2.34930 + 7.17501i −0.311173 + 0.950353i
\(58\) −4.61277 7.98954i −0.605686 1.04908i
\(59\) 0.779418 + 4.42030i 0.101472 + 0.575474i 0.992571 + 0.121666i \(0.0388236\pi\)
−0.891100 + 0.453808i \(0.850065\pi\)
\(60\) −0.479313 + 0.165856i −0.0618790 + 0.0214119i
\(61\) −8.05643 + 2.93230i −1.03152 + 0.375443i −0.801659 0.597781i \(-0.796049\pi\)
−0.229860 + 0.973224i \(0.573827\pi\)
\(62\) 5.30483 + 6.32205i 0.673714 + 0.802901i
\(63\) 5.35603 4.21086i 0.674796 0.530518i
\(64\) −3.65732 + 6.33467i −0.457166 + 0.791834i
\(65\) 0.910200 0.112896
\(66\) 6.88727 + 0.109750i 0.847765 + 0.0135093i
\(67\) 1.97625 2.35520i 0.241437 0.287733i −0.631695 0.775217i \(-0.717641\pi\)
0.873132 + 0.487483i \(0.162085\pi\)
\(68\) −0.115786 0.0668493i −0.0140412 0.00810667i
\(69\) 8.52843 6.92767i 1.02670 0.833993i
\(70\) −4.18533 + 4.98788i −0.500243 + 0.596166i
\(71\) 0.0740818 0.0621620i 0.00879190 0.00737728i −0.638381 0.769720i \(-0.720396\pi\)
0.647173 + 0.762343i \(0.275951\pi\)
\(72\) 6.39799 5.03004i 0.754010 0.592796i
\(73\) 1.14388 + 6.48728i 0.133881 + 0.759279i 0.975632 + 0.219413i \(0.0704141\pi\)
−0.841751 + 0.539866i \(0.818475\pi\)
\(74\) −6.20301 7.39246i −0.721085 0.859356i
\(75\) −2.01176 + 0.321766i −0.232298 + 0.0371543i
\(76\) −0.144428 0.636574i −0.0165670 0.0730200i
\(77\) 5.33460 3.07993i 0.607934 0.350991i
\(78\) 1.11709 0.386546i 0.126486 0.0437677i
\(79\) 4.08113 11.2128i 0.459163 1.26154i −0.466946 0.884286i \(-0.654646\pi\)
0.926109 0.377255i \(-0.123132\pi\)
\(80\) −5.37600 + 6.40687i −0.601055 + 0.716309i
\(81\) −8.63612 + 2.53327i −0.959569 + 0.281474i
\(82\) 2.10164 11.9190i 0.232088 1.31624i
\(83\) −3.19959 + 1.84728i −0.351200 + 0.202766i −0.665214 0.746653i \(-0.731660\pi\)
0.314013 + 0.949419i \(0.398326\pi\)
\(84\) −0.210263 + 0.550250i −0.0229415 + 0.0600372i
\(85\) 1.33738 + 1.12219i 0.145059 + 0.121719i
\(86\) 7.90972 + 6.63705i 0.852927 + 0.715691i
\(87\) 6.87137 + 8.45912i 0.736688 + 0.906913i
\(88\) 6.37239 3.67910i 0.679299 0.392194i
\(89\) 1.41419 8.02027i 0.149904 0.850147i −0.813394 0.581713i \(-0.802383\pi\)
0.963298 0.268434i \(-0.0865062\pi\)
\(90\) 7.58212 4.06109i 0.799225 0.428076i
\(91\) 0.679491 0.809785i 0.0712300 0.0848886i
\(92\) −0.324911 + 0.892685i −0.0338743 + 0.0930689i
\(93\) −7.36754 6.38488i −0.763979 0.662081i
\(94\) 4.88049 2.81775i 0.503384 0.290629i
\(95\) 0.413851 + 8.51351i 0.0424602 + 0.873468i
\(96\) −0.522662 + 1.36779i −0.0533440 + 0.139599i
\(97\) −2.63287 3.13774i −0.267328 0.318589i 0.615635 0.788031i \(-0.288899\pi\)
−0.882963 + 0.469442i \(0.844455\pi\)
\(98\) −0.469083 2.66030i −0.0473846 0.268731i
\(99\) −8.05442 + 1.15694i −0.809500 + 0.116277i
\(100\) 0.134936 0.113224i 0.0134936 0.0113224i
\(101\) −4.70578 + 5.60812i −0.468242 + 0.558029i −0.947546 0.319620i \(-0.896445\pi\)
0.479304 + 0.877649i \(0.340889\pi\)
\(102\) 2.11795 + 0.809313i 0.209708 + 0.0801340i
\(103\) 13.1970 + 7.61930i 1.30034 + 0.750752i 0.980462 0.196707i \(-0.0630248\pi\)
0.319878 + 0.947459i \(0.396358\pi\)
\(104\) 0.811679 0.967321i 0.0795916 0.0948536i
\(105\) 3.95155 6.59918i 0.385632 0.644014i
\(106\) −18.5424 −1.80100
\(107\) −6.36486 + 11.0243i −0.615314 + 1.06576i 0.375015 + 0.927019i \(0.377637\pi\)
−0.990329 + 0.138737i \(0.955696\pi\)
\(108\) 0.528085 0.571503i 0.0508150 0.0549929i
\(109\) −12.0769 14.3927i −1.15676 1.37857i −0.912611 0.408829i \(-0.865937\pi\)
−0.244144 0.969739i \(-0.578507\pi\)
\(110\) 7.30756 2.65973i 0.696748 0.253596i
\(111\) 8.61498 + 7.46594i 0.817698 + 0.708635i
\(112\) 1.68671 + 9.56582i 0.159379 + 0.903885i
\(113\) 9.41654 + 16.3099i 0.885834 + 1.53431i 0.844755 + 0.535153i \(0.179746\pi\)
0.0410789 + 0.999156i \(0.486921\pi\)
\(114\) 4.12346 + 10.2729i 0.386197 + 0.962147i
\(115\) 6.20234 10.7428i 0.578371 1.00177i
\(116\) −0.885431 0.322270i −0.0822102 0.0299221i
\(117\) −1.23096 + 0.659320i −0.113802 + 0.0609541i
\(118\) 5.04136 + 4.23021i 0.464095 + 0.389422i
\(119\) 1.99678 0.352087i 0.183045 0.0322757i
\(120\) 4.72029 7.88299i 0.430901 0.719615i
\(121\) 3.64309 0.331190
\(122\) −6.28523 + 10.8863i −0.569038 + 0.985602i
\(123\) −0.227803 + 14.2955i −0.0205403 + 1.28898i
\(124\) 0.830104 + 0.146370i 0.0745455 + 0.0131444i
\(125\) −10.4592 + 6.03865i −0.935503 + 0.540113i
\(126\) 2.04721 9.77736i 0.182380 0.871037i
\(127\) −2.54311 0.448419i −0.225664 0.0397907i 0.0596725 0.998218i \(-0.480994\pi\)
−0.285337 + 0.958427i \(0.592105\pi\)
\(128\) 2.15593 + 12.2269i 0.190559 + 1.08072i
\(129\) −10.4649 6.26633i −0.921383 0.551719i
\(130\) 1.02232 0.857825i 0.0896630 0.0752362i
\(131\) −15.8699 + 2.79830i −1.38656 + 0.244488i −0.816610 0.577189i \(-0.804149\pi\)
−0.569952 + 0.821678i \(0.693038\pi\)
\(132\) 0.546069 0.443573i 0.0475292 0.0386081i
\(133\) 7.88324 + 5.98739i 0.683564 + 0.519172i
\(134\) 4.50783i 0.389418i
\(135\) −8.08679 + 6.15183i −0.696000 + 0.529465i
\(136\) 2.38524 0.420582i 0.204532 0.0360646i
\(137\) −0.968410 2.66068i −0.0827369 0.227318i 0.891425 0.453168i \(-0.149706\pi\)
−0.974162 + 0.225850i \(0.927484\pi\)
\(138\) 3.04990 15.8187i 0.259625 1.34658i
\(139\) −8.56504 + 3.11742i −0.726477 + 0.264416i −0.678673 0.734441i \(-0.737445\pi\)
−0.0478042 + 0.998857i \(0.515222\pi\)
\(140\) 0.665027i 0.0562051i
\(141\) −5.16733 + 4.19744i −0.435168 + 0.353488i
\(142\) 0.0246219 0.139638i 0.00206623 0.0117182i
\(143\) −1.18639 + 0.431809i −0.0992106 + 0.0361097i
\(144\) 2.62961 12.5589i 0.219134 1.04657i
\(145\) 10.6555 + 6.15194i 0.884888 + 0.510890i
\(146\) 7.39877 + 6.20830i 0.612326 + 0.513803i
\(147\) 1.04352 + 3.01570i 0.0860679 + 0.248731i
\(148\) −0.970653 0.171152i −0.0797872 0.0140686i
\(149\) −5.53240 6.59326i −0.453232 0.540141i 0.490242 0.871586i \(-0.336908\pi\)
−0.943475 + 0.331445i \(0.892464\pi\)
\(150\) −1.95631 + 2.25740i −0.159732 + 0.184316i
\(151\) −20.2971 11.7185i −1.65175 0.953641i −0.976351 0.216194i \(-0.930636\pi\)
−0.675404 0.737448i \(-0.736031\pi\)
\(152\) 9.41684 + 7.15217i 0.763807 + 0.580118i
\(153\) −2.62156 0.548909i −0.211941 0.0443767i
\(154\) 3.08899 8.48694i 0.248918 0.683897i
\(155\) −10.3428 3.76449i −0.830757 0.302371i
\(156\) 0.0620246 0.103582i 0.00496594 0.00829323i
\(157\) −2.97923 1.08435i −0.237769 0.0865408i 0.220388 0.975412i \(-0.429268\pi\)
−0.458156 + 0.888872i \(0.651490\pi\)
\(158\) −5.98377 16.4403i −0.476043 1.30792i
\(159\) 21.6296 3.45949i 1.71534 0.274355i
\(160\) 1.65310i 0.130689i
\(161\) −4.92738 13.5379i −0.388332 1.06693i
\(162\) −7.31239 + 10.9845i −0.574516 + 0.863022i
\(163\) −6.44122 11.1565i −0.504516 0.873847i −0.999986 0.00522210i \(-0.998338\pi\)
0.495471 0.868625i \(-0.334996\pi\)
\(164\) −0.618068 1.07053i −0.0482630 0.0835940i
\(165\) −8.02797 + 4.46593i −0.624977 + 0.347673i
\(166\) −1.85272 + 5.09030i −0.143799 + 0.395084i
\(167\) 0.352626 1.99984i 0.0272870 0.154752i −0.968120 0.250488i \(-0.919409\pi\)
0.995407 + 0.0957352i \(0.0305202\pi\)
\(168\) −3.48949 10.0844i −0.269220 0.778029i
\(169\) 9.79260 8.21697i 0.753277 0.632075i
\(170\) 2.55973 0.196322
\(171\) −6.72661 11.2140i −0.514397 0.857552i
\(172\) 1.05459 0.0804119
\(173\) 4.79895 4.02680i 0.364858 0.306152i −0.441866 0.897081i \(-0.645683\pi\)
0.806723 + 0.590929i \(0.201239\pi\)
\(174\) 15.6901 + 3.02512i 1.18947 + 0.229334i
\(175\) −0.463869 + 2.63073i −0.0350652 + 0.198864i
\(176\) 3.96777 10.9014i 0.299082 0.821721i
\(177\) −6.66994 3.99392i −0.501344 0.300202i
\(178\) −5.97038 10.3410i −0.447499 0.775090i
\(179\) 6.00593 + 10.4026i 0.448904 + 0.777525i 0.998315 0.0580272i \(-0.0184810\pi\)
−0.549411 + 0.835553i \(0.685148\pi\)
\(180\) 0.326612 0.815519i 0.0243442 0.0607852i
\(181\) −3.01433 8.28181i −0.224054 0.615582i 0.775828 0.630944i \(-0.217332\pi\)
−0.999882 + 0.0153617i \(0.995110\pi\)
\(182\) 1.54992i 0.114888i
\(183\) 5.30058 13.8714i 0.391830 1.02541i
\(184\) −5.88595 16.1715i −0.433918 1.19218i
\(185\) 12.0940 + 4.40187i 0.889171 + 0.323632i
\(186\) −14.2925 0.227755i −1.04798 0.0166998i
\(187\) −2.27557 0.828238i −0.166406 0.0605668i
\(188\) 0.196862 0.540874i 0.0143576 0.0394473i
\(189\) −0.563876 + 11.7872i −0.0410159 + 0.857389i
\(190\) 8.48845 + 9.17214i 0.615817 + 0.665417i
\(191\) 9.00053 + 5.19646i 0.651256 + 0.376003i 0.788937 0.614474i \(-0.210632\pi\)
−0.137681 + 0.990477i \(0.543965\pi\)
\(192\) −4.14293 11.9728i −0.298990 0.864064i
\(193\) −3.50557 4.17778i −0.252337 0.300723i 0.624974 0.780645i \(-0.285109\pi\)
−0.877311 + 0.479922i \(0.840665\pi\)
\(194\) −5.91437 1.04286i −0.424627 0.0748731i
\(195\) −1.03248 + 1.19138i −0.0739372 + 0.0853165i
\(196\) −0.211354 0.177347i −0.0150967 0.0126677i
\(197\) −12.3473 7.12871i −0.879708 0.507900i −0.00914591 0.999958i \(-0.502911\pi\)
−0.870562 + 0.492058i \(0.836245\pi\)
\(198\) −7.95617 + 8.89040i −0.565420 + 0.631813i
\(199\) −25.4888 + 9.27717i −1.80685 + 0.657641i −0.809326 + 0.587360i \(0.800167\pi\)
−0.997527 + 0.0702813i \(0.977610\pi\)
\(200\) −0.554110 + 3.14251i −0.0391815 + 0.222209i
\(201\) 0.841032 + 5.25835i 0.0593219 + 0.370895i
\(202\) 10.7339i 0.755235i
\(203\) 13.4279 4.88734i 0.942451 0.343024i
\(204\) 0.218842 0.0757254i 0.0153220 0.00530184i
\(205\) 5.52066 + 15.1679i 0.385580 + 1.05937i
\(206\) 22.0034 3.87980i 1.53305 0.270318i
\(207\) −0.606375 + 19.0214i −0.0421459 + 1.32208i
\(208\) 1.99085i 0.138041i
\(209\) −4.57833 10.9005i −0.316690 0.754001i
\(210\) −1.78115 11.1362i −0.122911 0.768472i
\(211\) 9.50070 1.67523i 0.654055 0.115328i 0.163233 0.986588i \(-0.447808\pi\)
0.490822 + 0.871260i \(0.336697\pi\)
\(212\) −1.45077 + 1.21734i −0.0996392 + 0.0836072i
\(213\) −0.00266884 + 0.167480i −0.000182866 + 0.0114755i
\(214\) 3.24103 + 18.3808i 0.221552 + 1.25649i
\(215\) −13.5615 2.39127i −0.924890 0.163083i
\(216\) −0.673572 + 14.0802i −0.0458308 + 0.958038i
\(217\) −11.0704 + 6.39150i −0.751508 + 0.433884i
\(218\) −27.1289 4.78357i −1.83740 0.323984i
\(219\) −9.78889 5.86153i −0.661472 0.396086i
\(220\) 0.397131 0.687851i 0.0267746 0.0463749i
\(221\) −0.415574 −0.0279545
\(222\) 16.7125 + 0.266317i 1.12167 + 0.0178741i
\(223\) 19.7149 3.47627i 1.32021 0.232788i 0.531240 0.847221i \(-0.321726\pi\)
0.788969 + 0.614433i \(0.210615\pi\)
\(224\) 1.47073 + 1.23409i 0.0982670 + 0.0824558i
\(225\) 1.86086 2.99823i 0.124057 0.199882i
\(226\) 25.9479 + 9.44425i 1.72603 + 0.628222i
\(227\) −0.910422 + 1.57690i −0.0604268 + 0.104662i −0.894656 0.446755i \(-0.852580\pi\)
0.834229 + 0.551417i \(0.185913\pi\)
\(228\) 0.997054 + 0.533047i 0.0660315 + 0.0353019i
\(229\) 9.64083 + 16.6984i 0.637084 + 1.10346i 0.986069 + 0.166334i \(0.0531930\pi\)
−0.348985 + 0.937128i \(0.613474\pi\)
\(230\) −3.15827 17.9115i −0.208250 1.18105i
\(231\) −2.01986 + 10.4763i −0.132897 + 0.689287i
\(232\) 16.0401 5.83812i 1.05308 0.383291i
\(233\) 15.6068 + 18.5995i 1.02244 + 1.21849i 0.975592 + 0.219591i \(0.0704724\pi\)
0.0468456 + 0.998902i \(0.485083\pi\)
\(234\) −0.761206 + 1.90066i −0.0497616 + 0.124250i
\(235\) −3.75797 + 6.50899i −0.245143 + 0.424600i
\(236\) 0.672158 0.0437538
\(237\) 10.0473 + 18.0610i 0.652642 + 1.17319i
\(238\) 1.91091 2.27734i 0.123866 0.147618i
\(239\) 6.41255 + 3.70229i 0.414794 + 0.239481i 0.692847 0.721084i \(-0.256356\pi\)
−0.278054 + 0.960566i \(0.589689\pi\)
\(240\) −2.28787 14.3043i −0.147681 0.923340i
\(241\) −8.95380 + 10.6707i −0.576765 + 0.687361i −0.973005 0.230786i \(-0.925870\pi\)
0.396240 + 0.918147i \(0.370315\pi\)
\(242\) 4.09183 3.43346i 0.263033 0.220711i
\(243\) 6.48045 14.1776i 0.415721 0.909492i
\(244\) 0.222945 + 1.26439i 0.0142726 + 0.0809440i
\(245\) 2.31578 + 2.75984i 0.147950 + 0.176320i
\(246\) 13.2171 + 16.2711i 0.842689 + 1.03741i
\(247\) −1.37810 1.48910i −0.0876867 0.0947493i
\(248\) −13.2240 + 7.63491i −0.839728 + 0.484817i
\(249\) 1.21147 6.28345i 0.0767741 0.398198i
\(250\) −6.05641 + 16.6399i −0.383041 + 1.05240i
\(251\) 17.0830 20.3588i 1.07827 1.28503i 0.122008 0.992529i \(-0.461067\pi\)
0.956264 0.292505i \(-0.0944889\pi\)
\(252\) −0.481724 0.899388i −0.0303458 0.0566561i
\(253\) −2.98785 + 16.9449i −0.187845 + 1.06532i
\(254\) −3.27898 + 1.89312i −0.205741 + 0.118785i
\(255\) −2.98590 + 0.477572i −0.186985 + 0.0299067i
\(256\) 2.73814 + 2.29757i 0.171134 + 0.143598i
\(257\) −17.0463 14.3036i −1.06332 0.892231i −0.0688893 0.997624i \(-0.521946\pi\)
−0.994431 + 0.105393i \(0.966390\pi\)
\(258\) −17.6597 + 2.82453i −1.09944 + 0.175848i
\(259\) 12.9448 7.47368i 0.804350 0.464392i
\(260\) 0.0236689 0.134233i 0.00146788 0.00832479i
\(261\) −18.8668 0.601447i −1.16782 0.0372286i
\(262\) −15.1875 + 18.0997i −0.938285 + 1.11820i
\(263\) −2.08595 + 5.73110i −0.128625 + 0.353395i −0.987243 0.159222i \(-0.949102\pi\)
0.858618 + 0.512617i \(0.171324\pi\)
\(264\) −2.41281 + 12.5143i −0.148498 + 0.770202i
\(265\) 21.4165 12.3648i 1.31560 0.759564i
\(266\) 14.4971 0.704720i 0.888876 0.0432092i
\(267\) 8.89372 + 10.9488i 0.544287 + 0.670054i
\(268\) −0.295946 0.352695i −0.0180778 0.0215443i
\(269\) −1.57345 8.92350i −0.0959352 0.544075i −0.994457 0.105146i \(-0.966469\pi\)
0.898522 0.438929i \(-0.144642\pi\)
\(270\) −3.28506 + 14.5310i −0.199923 + 0.884331i
\(271\) −15.2169 + 12.7685i −0.924362 + 0.775632i −0.974797 0.223095i \(-0.928384\pi\)
0.0504344 + 0.998727i \(0.483939\pi\)
\(272\) 2.45454 2.92521i 0.148828 0.177367i
\(273\) 0.289171 + 1.80797i 0.0175014 + 0.109423i
\(274\) −3.59528 2.07573i −0.217199 0.125400i
\(275\) 2.05077 2.44401i 0.123666 0.147379i
\(276\) −0.799894 1.43789i −0.0481480 0.0865509i
\(277\) −1.32213 −0.0794388 −0.0397194 0.999211i \(-0.512646\pi\)
−0.0397194 + 0.999211i \(0.512646\pi\)
\(278\) −6.68202 + 11.5736i −0.400761 + 0.694138i
\(279\) 16.7146 2.40090i 1.00068 0.143738i
\(280\) −7.74390 9.22882i −0.462787 0.551528i
\(281\) 29.9168 10.8888i 1.78468 0.649572i 0.785142 0.619316i \(-0.212590\pi\)
0.999542 0.0302563i \(-0.00963236\pi\)
\(282\) −1.84792 + 9.58446i −0.110042 + 0.570746i
\(283\) −4.41305 25.0277i −0.262329 1.48774i −0.776535 0.630074i \(-0.783024\pi\)
0.514206 0.857667i \(-0.328087\pi\)
\(284\) −0.00724101 0.0125418i −0.000429675 0.000744219i
\(285\) −11.6130 9.11552i −0.687892 0.539957i
\(286\) −0.925559 + 1.60312i −0.0547295 + 0.0947942i
\(287\) 17.6159 + 6.41165i 1.03983 + 0.378468i
\(288\) −1.19745 2.23566i −0.0705605 0.131738i
\(289\) 12.4121 + 10.4150i 0.730126 + 0.612649i
\(290\) 17.7659 3.13261i 1.04325 0.183953i
\(291\) 7.09362 + 0.113039i 0.415836 + 0.00662644i
\(292\) 0.986467 0.0577286
\(293\) 4.47837 7.75676i 0.261629 0.453155i −0.705046 0.709162i \(-0.749074\pi\)
0.966675 + 0.256007i \(0.0824070\pi\)
\(294\) 4.01422 + 2.40370i 0.234114 + 0.140186i
\(295\) −8.64363 1.52410i −0.503251 0.0887368i
\(296\) 15.4631 8.92761i 0.898773 0.518907i
\(297\) 7.62210 11.8550i 0.442279 0.687895i
\(298\) −12.4277 2.19134i −0.719919 0.126941i
\(299\) 0.512748 + 2.90794i 0.0296530 + 0.168170i
\(300\) −0.00486113 + 0.305055i −0.000280657 + 0.0176124i
\(301\) −12.2515 + 10.2803i −0.706167 + 0.592544i
\(302\) −33.8415 + 5.96716i −1.94736 + 0.343372i
\(303\) −2.00264 12.5210i −0.115049 0.719313i
\(304\) 18.6214 0.905204i 1.06801 0.0519170i
\(305\) 16.7649i 0.959956i
\(306\) −3.46180 + 1.85419i −0.197898 + 0.105997i
\(307\) 20.3797 3.59349i 1.16313 0.205091i 0.441429 0.897296i \(-0.354472\pi\)
0.721701 + 0.692205i \(0.243360\pi\)
\(308\) −0.315496 0.866819i −0.0179771 0.0493916i
\(309\) −24.9430 + 8.63096i −1.41896 + 0.490998i
\(310\) −15.1647 + 5.51950i −0.861297 + 0.313487i
\(311\) 4.53739i 0.257292i −0.991691 0.128646i \(-0.958937\pi\)
0.991691 0.128646i \(-0.0410631\pi\)
\(312\) 0.345426 + 2.15969i 0.0195559 + 0.122269i
\(313\) 0.265781 1.50732i 0.0150228 0.0851988i −0.976375 0.216085i \(-0.930671\pi\)
0.991397 + 0.130886i \(0.0417823\pi\)
\(314\) −4.36816 + 1.58988i −0.246510 + 0.0897222i
\(315\) 4.15540 + 12.6580i 0.234130 + 0.713197i
\(316\) −1.54750 0.893450i −0.0870538 0.0502605i
\(317\) 11.4064 + 9.57111i 0.640648 + 0.537567i 0.904217 0.427073i \(-0.140455\pi\)
−0.263569 + 0.964640i \(0.584900\pi\)
\(318\) 21.0334 24.2706i 1.17950 1.36103i
\(319\) −16.8072 2.96357i −0.941025 0.165928i
\(320\) −9.19402 10.9570i −0.513961 0.612515i
\(321\) −7.20996 20.8363i −0.402421 1.16297i
\(322\) −18.2932 10.5616i −1.01944 0.588574i
\(323\) −0.188954 3.88705i −0.0105137 0.216281i
\(324\) 0.149023 + 1.33950i 0.00827907 + 0.0744167i
\(325\) 0.187260 0.514493i 0.0103873 0.0285389i
\(326\) −17.7492 6.46017i −0.983036 0.357796i
\(327\) 32.5381 + 0.518504i 1.79936 + 0.0286733i
\(328\) 21.0429 + 7.65898i 1.16190 + 0.422896i
\(329\) 2.98548 + 8.20253i 0.164595 + 0.452220i
\(330\) −4.80788 + 12.5821i −0.264665 + 0.692619i
\(331\) 2.90821i 0.159849i −0.996801 0.0799247i \(-0.974532\pi\)
0.996801 0.0799247i \(-0.0254680\pi\)
\(332\) 0.189229 + 0.519901i 0.0103853 + 0.0285333i
\(333\) −19.5446 + 2.80741i −1.07104 + 0.153845i
\(334\) −1.48870 2.57851i −0.0814582 0.141090i
\(335\) 3.00600 + 5.20654i 0.164235 + 0.284464i
\(336\) −14.4342 8.64312i −0.787450 0.471521i
\(337\) −6.81327 + 18.7193i −0.371142 + 1.01971i 0.603778 + 0.797152i \(0.293661\pi\)
−0.974921 + 0.222553i \(0.928561\pi\)
\(338\) 3.25468 18.4582i 0.177031 1.00399i
\(339\) −32.0300 6.17550i −1.73963 0.335407i
\(340\) 0.200274 0.168050i 0.0108614 0.00911380i
\(341\) 15.2671 0.826761
\(342\) −18.1238 6.25571i −0.980025 0.338270i
\(343\) 20.0814 1.08429
\(344\) −14.6350 + 12.2802i −0.789064 + 0.662103i
\(345\) 7.02586 + 20.3043i 0.378260 + 1.09315i
\(346\) 1.59499 9.04562i 0.0857470 0.486295i
\(347\) −3.02871 + 8.32130i −0.162590 + 0.446711i −0.994057 0.108863i \(-0.965279\pi\)
0.831467 + 0.555574i \(0.187501\pi\)
\(348\) 1.42621 0.793394i 0.0764526 0.0425304i
\(349\) −10.4769 18.1465i −0.560814 0.971357i −0.997426 0.0717077i \(-0.977155\pi\)
0.436612 0.899650i \(-0.356178\pi\)
\(350\) 1.95834 + 3.39195i 0.104678 + 0.181307i
\(351\) 0.533332 2.35912i 0.0284671 0.125921i
\(352\) −0.784249 2.15471i −0.0418006 0.114846i
\(353\) 24.0456i 1.27982i 0.768452 + 0.639908i \(0.221027\pi\)
−0.768452 + 0.639908i \(0.778973\pi\)
\(354\) −11.2556 + 1.80025i −0.598230 + 0.0956823i
\(355\) 0.0646776 + 0.177700i 0.00343273 + 0.00943135i
\(356\) −1.14603 0.417120i −0.0607393 0.0221073i
\(357\) −1.80418 + 3.01302i −0.0954872 + 0.159466i
\(358\) 16.5497 + 6.02360i 0.874679 + 0.318357i
\(359\) −3.98335 + 10.9442i −0.210233 + 0.577611i −0.999328 0.0366610i \(-0.988328\pi\)
0.789095 + 0.614272i \(0.210550\pi\)
\(360\) 4.96379 + 15.1205i 0.261615 + 0.796919i
\(361\) 13.3016 13.5671i 0.700087 0.714058i
\(362\) −11.1909 6.46106i −0.588180 0.339586i
\(363\) −4.13250 + 4.76851i −0.216900 + 0.250282i
\(364\) −0.101755 0.121267i −0.00533340 0.00635610i
\(365\) −12.6855 2.23679i −0.663989 0.117079i
\(366\) −7.11976 20.5757i −0.372156 1.07551i
\(367\) 0.395531 + 0.331890i 0.0206466 + 0.0173245i 0.653053 0.757313i \(-0.273488\pi\)
−0.632406 + 0.774637i \(0.717933\pi\)
\(368\) −23.4973 13.5662i −1.22488 0.707187i
\(369\) −18.4533 16.5142i −0.960641 0.859693i
\(370\) 17.7323 6.45403i 0.921859 0.335529i
\(371\) 4.98731 28.2844i 0.258928 1.46846i
\(372\) −1.13321 + 0.920507i −0.0587540 + 0.0477260i
\(373\) 22.7368i 1.17726i −0.808401 0.588632i \(-0.799667\pi\)
0.808401 0.588632i \(-0.200333\pi\)
\(374\) −3.33644 + 1.21437i −0.172523 + 0.0627933i
\(375\) 3.96023 20.5402i 0.204505 1.06069i
\(376\) 3.56627 + 9.79825i 0.183916 + 0.505306i
\(377\) −2.88430 + 0.508581i −0.148549 + 0.0261932i
\(378\) 10.4756 + 13.7705i 0.538805 + 0.708278i
\(379\) 23.3822i 1.20106i −0.799602 0.600531i \(-0.794956\pi\)
0.799602 0.600531i \(-0.205044\pi\)
\(380\) 1.26630 + 0.160353i 0.0649601 + 0.00822593i
\(381\) 3.47169 2.82007i 0.177860 0.144476i
\(382\) 15.0066 2.64607i 0.767806 0.135385i
\(383\) −8.11491 + 6.80921i −0.414652 + 0.347935i −0.826124 0.563488i \(-0.809459\pi\)
0.411472 + 0.911422i \(0.365015\pi\)
\(384\) −18.4496 11.0475i −0.941503 0.563767i
\(385\) 2.09164 + 11.8623i 0.106600 + 0.604556i
\(386\) −7.87476 1.38853i −0.400815 0.0706744i
\(387\) 20.0729 6.58958i 1.02036 0.334967i
\(388\) −0.531208 + 0.306693i −0.0269680 + 0.0155700i
\(389\) 17.7078 + 3.12236i 0.897821 + 0.158310i 0.603468 0.797387i \(-0.293785\pi\)
0.294352 + 0.955697i \(0.404896\pi\)
\(390\) −0.0368295 + 2.31119i −0.00186493 + 0.117032i
\(391\) −2.83183 + 4.90487i −0.143212 + 0.248050i
\(392\) 4.99815 0.252445
\(393\) 14.3392 23.9467i 0.723315 1.20795i
\(394\) −20.5867 + 3.62999i −1.03714 + 0.182876i
\(395\) 17.8742 + 14.9983i 0.899350 + 0.754645i
\(396\) −0.0388257 + 1.21792i −0.00195106 + 0.0612029i
\(397\) 19.3342 + 7.03708i 0.970356 + 0.353181i 0.778084 0.628161i \(-0.216192\pi\)
0.192273 + 0.981342i \(0.438414\pi\)
\(398\) −19.8851 + 34.4420i −0.996750 + 1.72642i
\(399\) −16.7793 + 3.52680i −0.840015 + 0.176561i
\(400\) 2.51547 + 4.35691i 0.125773 + 0.217846i
\(401\) 0.711634 + 4.03588i 0.0355373 + 0.201542i 0.997407 0.0719657i \(-0.0229272\pi\)
−0.961870 + 0.273508i \(0.911816\pi\)
\(402\) 5.90040 + 5.11342i 0.294285 + 0.255034i
\(403\) 2.46200 0.896094i 0.122641 0.0446376i
\(404\) 0.704697 + 0.839826i 0.0350600 + 0.0417829i
\(405\) 1.12092 17.5632i 0.0556990 0.872724i
\(406\) 10.4757 18.1445i 0.519903 0.900498i
\(407\) −17.8521 −0.884894
\(408\) −2.15516 + 3.59917i −0.106696 + 0.178185i
\(409\) −13.5081 + 16.0983i −0.667932 + 0.796010i −0.988501 0.151215i \(-0.951682\pi\)
0.320569 + 0.947225i \(0.396126\pi\)
\(410\) 20.4958 + 11.8332i 1.01221 + 0.584402i
\(411\) 4.58113 + 1.75055i 0.225971 + 0.0863483i
\(412\) 1.46684 1.74812i 0.0722662 0.0861235i
\(413\) −7.80868 + 6.55226i −0.384240 + 0.322416i
\(414\) 17.2458 + 21.9358i 0.847583 + 1.07809i
\(415\) −1.25452 7.11475i −0.0615821 0.349249i
\(416\) −0.252938 0.301440i −0.0124013 0.0147793i
\(417\) 5.63521 14.7472i 0.275958 0.722172i
\(418\) −15.4155 7.92827i −0.753997 0.387784i
\(419\) −22.6417 + 13.0722i −1.10612 + 0.638620i −0.937822 0.347116i \(-0.887161\pi\)
−0.168300 + 0.985736i \(0.553828\pi\)
\(420\) −0.870468 0.754367i −0.0424745 0.0368093i
\(421\) −9.36101 + 25.7192i −0.456228 + 1.25348i 0.472045 + 0.881574i \(0.343516\pi\)
−0.928273 + 0.371901i \(0.878706\pi\)
\(422\) 9.09213 10.8356i 0.442598 0.527468i
\(423\) 0.367399 11.5250i 0.0178636 0.560362i
\(424\) 5.95754 33.7869i 0.289324 1.64084i
\(425\) 0.909468 0.525082i 0.0441157 0.0254702i
\(426\) 0.154845 + 0.190625i 0.00750228 + 0.00923581i
\(427\) −14.9154 12.5155i −0.721806 0.605667i
\(428\) 1.46031 + 1.22534i 0.0705866 + 0.0592292i
\(429\) 0.780561 2.04270i 0.0376859 0.0986226i
\(430\) −17.4857 + 10.0954i −0.843234 + 0.486841i
\(431\) −3.13120 + 17.7579i −0.150825 + 0.855369i 0.811680 + 0.584103i \(0.198554\pi\)
−0.962504 + 0.271267i \(0.912558\pi\)
\(432\) 13.4557 + 17.6880i 0.647388 + 0.851014i
\(433\) −1.22643 + 1.46160i −0.0589385 + 0.0702401i −0.794708 0.606992i \(-0.792376\pi\)
0.735770 + 0.677232i \(0.236821\pi\)
\(434\) −6.41031 + 17.6122i −0.307705 + 0.845411i
\(435\) −20.1393 + 6.96877i −0.965606 + 0.334127i
\(436\) −2.43663 + 1.40679i −0.116693 + 0.0673729i
\(437\) −26.9661 + 6.11814i −1.28996 + 0.292671i
\(438\) −16.5189 + 2.64207i −0.789303 + 0.126243i
\(439\) 0.0935301 + 0.111465i 0.00446395 + 0.00531993i 0.768272 0.640124i \(-0.221117\pi\)
−0.763808 + 0.645444i \(0.776672\pi\)
\(440\) 2.49854 + 14.1699i 0.119113 + 0.675525i
\(441\) −5.13102 2.05495i −0.244334 0.0978548i
\(442\) −0.466763 + 0.391661i −0.0222016 + 0.0186294i
\(443\) −16.4525 + 19.6073i −0.781681 + 0.931572i −0.999008 0.0445273i \(-0.985822\pi\)
0.217327 + 0.976099i \(0.430266\pi\)
\(444\) 1.32507 1.07636i 0.0628853 0.0510819i
\(445\) 13.7915 + 7.96255i 0.653782 + 0.377461i
\(446\) 18.8671 22.4849i 0.893383 1.06469i
\(447\) 14.9057 + 0.237526i 0.705015 + 0.0112346i
\(448\) −16.6118 −0.784834
\(449\) 1.53301 2.65525i 0.0723472 0.125309i −0.827582 0.561344i \(-0.810284\pi\)
0.899930 + 0.436035i \(0.143618\pi\)
\(450\) −0.735631 5.12132i −0.0346780 0.241421i
\(451\) −14.3916 17.1513i −0.677675 0.807622i
\(452\) 2.65020 0.964594i 0.124655 0.0453707i
\(453\) 38.3625 13.2745i 1.80243 0.623690i
\(454\) 0.463593 + 2.62917i 0.0217575 + 0.123393i
\(455\) 1.03355 + 1.79016i 0.0484535 + 0.0839238i
\(456\) −20.0435 + 4.21290i −0.938624 + 0.197287i
\(457\) 4.14662 7.18215i 0.193971 0.335967i −0.752592 0.658487i \(-0.771197\pi\)
0.946563 + 0.322520i \(0.104530\pi\)
\(458\) 26.5659 + 9.66920i 1.24134 + 0.451812i
\(459\) 3.69222 2.80876i 0.172338 0.131102i
\(460\) −1.42302 1.19406i −0.0663486 0.0556731i
\(461\) 27.5981 4.86629i 1.28537 0.226646i 0.511112 0.859514i \(-0.329234\pi\)
0.774259 + 0.632869i \(0.218123\pi\)
\(462\) 7.60476 + 13.6703i 0.353805 + 0.636001i
\(463\) −7.27486 −0.338092 −0.169046 0.985608i \(-0.554069\pi\)
−0.169046 + 0.985608i \(0.554069\pi\)
\(464\) 13.4560 23.3064i 0.624677 1.08197i
\(465\) 16.6597 9.26775i 0.772576 0.429781i
\(466\) 35.0585 + 6.18175i 1.62405 + 0.286364i
\(467\) −5.43529 + 3.13807i −0.251515 + 0.145212i −0.620458 0.784240i \(-0.713053\pi\)
0.368943 + 0.929452i \(0.379720\pi\)
\(468\) 0.0652241 + 0.198683i 0.00301499 + 0.00918412i
\(469\) 6.87621 + 1.21246i 0.317514 + 0.0559862i
\(470\) 1.91358 + 10.8525i 0.0882670 + 0.500587i
\(471\) 4.79880 2.66956i 0.221117 0.123007i
\(472\) −9.32778 + 7.82693i −0.429346 + 0.360264i
\(473\) 18.8110 3.31689i 0.864932 0.152511i
\(474\) 28.3066 + 10.8166i 1.30017 + 0.496822i
\(475\) 4.89743 + 1.51760i 0.224709 + 0.0696322i
\(476\) 0.303634i 0.0139171i
\(477\) −20.0071 + 32.2356i −0.916063 + 1.47597i
\(478\) 10.6917 1.88523i 0.489026 0.0862285i
\(479\) −3.54073 9.72807i −0.161780 0.444487i 0.832143 0.554560i \(-0.187114\pi\)
−0.993923 + 0.110074i \(0.964891\pi\)
\(480\) −2.16377 1.87518i −0.0987623 0.0855897i
\(481\) −2.87885 + 1.04782i −0.131264 + 0.0477763i
\(482\) 20.4237i 0.930273i
\(483\) 23.3093 + 8.90700i 1.06061 + 0.405283i
\(484\) 0.0947352 0.537270i 0.00430615 0.0244214i
\(485\) 7.52650 2.73942i 0.341761 0.124391i
\(486\) −6.08307 22.0315i −0.275934 0.999368i
\(487\) −15.8074 9.12641i −0.716302 0.413557i 0.0970880 0.995276i \(-0.469047\pi\)
−0.813390 + 0.581719i \(0.802381\pi\)
\(488\) −17.8170 14.9502i −0.806538 0.676766i
\(489\) 21.9095 + 4.22425i 0.990784 + 0.191027i
\(490\) 5.20206 + 0.917264i 0.235005 + 0.0414378i
\(491\) −3.45546 4.11806i −0.155943 0.185845i 0.682416 0.730964i \(-0.260929\pi\)
−0.838359 + 0.545118i \(0.816485\pi\)
\(492\) 2.10233 + 0.405338i 0.0947804 + 0.0182740i
\(493\) −4.86501 2.80881i −0.219109 0.126503i
\(494\) −2.95127 0.373721i −0.132784 0.0168145i
\(495\) 3.26089 15.5739i 0.146566 0.699993i
\(496\) −8.23395 + 22.6226i −0.369715 + 1.01578i
\(497\) 0.206380 + 0.0751161i 0.00925740 + 0.00336942i
\(498\) −4.56119 8.19919i −0.204392 0.367415i
\(499\) −31.6146 11.5068i −1.41527 0.515115i −0.482595 0.875844i \(-0.660306\pi\)
−0.932671 + 0.360729i \(0.882528\pi\)
\(500\) 0.618576 + 1.69952i 0.0276635 + 0.0760050i
\(501\) 2.21763 + 2.73006i 0.0990766 + 0.121970i
\(502\) 38.9665i 1.73916i
\(503\) 1.29040 + 3.54533i 0.0575359 + 0.158079i 0.965131 0.261769i \(-0.0843058\pi\)
−0.907595 + 0.419847i \(0.862084\pi\)
\(504\) 17.1580 + 6.87169i 0.764276 + 0.306089i
\(505\) −7.15778 12.3976i −0.318517 0.551687i
\(506\) 12.6140 + 21.8481i 0.560761 + 0.971266i
\(507\) −0.352784 + 22.1386i −0.0156677 + 0.983209i
\(508\) −0.132262 + 0.363388i −0.00586820 + 0.0161227i
\(509\) −5.16749 + 29.3063i −0.229045 + 1.29898i 0.625755 + 0.780020i \(0.284791\pi\)
−0.854800 + 0.518958i \(0.826320\pi\)
\(510\) −2.90361 + 3.35048i −0.128574 + 0.148362i
\(511\) −11.4601 + 9.61618i −0.506966 + 0.425395i
\(512\) −19.5903 −0.865776
\(513\) 22.3084 + 3.91584i 0.984941 + 0.172889i
\(514\) −32.6265 −1.43909
\(515\) −22.8267 + 19.1539i −1.00587 + 0.844021i
\(516\) −1.19627 + 1.38038i −0.0526627 + 0.0607677i
\(517\) 1.81032 10.2669i 0.0796180 0.451536i
\(518\) 7.49567 20.5942i 0.329341 0.904856i
\(519\) −0.172885 + 10.8492i −0.00758880 + 0.476227i
\(520\) 1.23461 + 2.13841i 0.0541414 + 0.0937756i
\(521\) −13.9379 24.1411i −0.610630 1.05764i −0.991134 0.132863i \(-0.957583\pi\)
0.380505 0.924779i \(-0.375750\pi\)
\(522\) −21.7576 + 17.1056i −0.952303 + 0.748692i
\(523\) 13.1044 + 36.0039i 0.573013 + 1.57434i 0.799717 + 0.600377i \(0.204983\pi\)
−0.226704 + 0.973964i \(0.572795\pi\)
\(524\) 2.41321i 0.105422i
\(525\) −2.91723 3.59131i −0.127318 0.156738i
\(526\) 3.05843 + 8.40296i 0.133354 + 0.366386i
\(527\) 4.72227 + 1.71877i 0.205705 + 0.0748707i
\(528\) 9.76821 + 17.5593i 0.425107 + 0.764172i
\(529\) 16.2024 + 5.89719i 0.704452 + 0.256400i
\(530\) 12.4012 34.0720i 0.538673 1.47999i
\(531\) 12.7937 4.19995i 0.555200 0.182262i
\(532\) 1.08800 1.00690i 0.0471706 0.0436545i
\(533\) −3.32750 1.92113i −0.144130 0.0832135i
\(534\) 20.3080 + 3.91546i 0.878812 + 0.169438i
\(535\) −16.0004 19.0685i −0.691757 0.824404i
\(536\) 8.21390 + 1.44833i 0.354787 + 0.0625584i
\(537\) −20.4289 3.93878i −0.881573 0.169971i
\(538\) −10.1773 8.53976i −0.438774 0.368175i
\(539\) −4.32777 2.49864i −0.186410 0.107624i
\(540\) 0.696960 + 1.35258i 0.0299924 + 0.0582060i
\(541\) 6.81285 2.47967i 0.292907 0.106610i −0.191387 0.981515i \(-0.561299\pi\)
0.484294 + 0.874905i \(0.339076\pi\)
\(542\) −5.05752 + 28.6826i −0.217239 + 1.23202i
\(543\) 14.2595 + 5.44887i 0.611934 + 0.233833i
\(544\) 0.754762i 0.0323602i
\(545\) 34.5237 12.5656i 1.47883 0.538252i
\(546\) 2.02873 + 1.75814i 0.0868214 + 0.0752414i
\(547\) 4.35099 + 11.9543i 0.186035 + 0.511127i 0.997290 0.0735648i \(-0.0234376\pi\)
−0.811255 + 0.584692i \(0.801215\pi\)
\(548\) −0.417571 + 0.0736291i −0.0178378 + 0.00314528i
\(549\) 12.1440 + 22.6730i 0.518291 + 0.967659i
\(550\) 4.67782i 0.199463i
\(551\) −6.06842 26.7470i −0.258524 1.13946i
\(552\) 27.8439 + 10.6398i 1.18512 + 0.452859i
\(553\) 26.6873 4.70568i 1.13486 0.200106i
\(554\) −1.48498 + 1.24605i −0.0630908 + 0.0529394i
\(555\) −19.4804 + 10.8369i −0.826899 + 0.460001i
\(556\) 0.237020 + 1.34421i 0.0100519 + 0.0570071i
\(557\) 5.42329 + 0.956273i 0.229792 + 0.0405186i 0.287358 0.957823i \(-0.407223\pi\)
−0.0575662 + 0.998342i \(0.518334\pi\)
\(558\) 16.5107 18.4494i 0.698954 0.781027i
\(559\) 2.83881 1.63899i 0.120069 0.0693218i
\(560\) −18.7054 3.29826i −0.790447 0.139377i
\(561\) 3.66536 2.03903i 0.154752 0.0860879i
\(562\) 23.3396 40.4253i 0.984520 1.70524i
\(563\) 8.15535 0.343707 0.171854 0.985123i \(-0.445024\pi\)
0.171854 + 0.985123i \(0.445024\pi\)
\(564\) 0.484652 + 0.871211i 0.0204075 + 0.0366846i
\(565\) −36.2675 + 6.39494i −1.52578 + 0.269037i
\(566\) −28.5442 23.9514i −1.19980 1.00675i
\(567\) −14.7888 14.1087i −0.621072 0.592510i
\(568\) 0.246529 + 0.0897292i 0.0103441 + 0.00376495i
\(569\) 8.46027 14.6536i 0.354673 0.614311i −0.632389 0.774651i \(-0.717926\pi\)
0.987062 + 0.160339i \(0.0512589\pi\)
\(570\) −21.6344 + 0.706374i −0.906165 + 0.0295867i
\(571\) 15.4888 + 26.8273i 0.648185 + 1.12269i 0.983556 + 0.180603i \(0.0578049\pi\)
−0.335371 + 0.942086i \(0.608862\pi\)
\(572\) 0.0328308 + 0.186193i 0.00137273 + 0.00778511i
\(573\) −17.0114 + 5.88643i −0.710662 + 0.245909i
\(574\) 25.8284 9.40079i 1.07806 0.392381i
\(575\) −4.79634 5.71605i −0.200021 0.238376i
\(576\) 20.3710 + 8.15848i 0.848790 + 0.339937i
\(577\) −11.2310 + 19.4527i −0.467554 + 0.809827i −0.999313 0.0370686i \(-0.988198\pi\)
0.531759 + 0.846896i \(0.321531\pi\)
\(578\) 23.7567 0.988150
\(579\) 9.44490 + 0.150507i 0.392516 + 0.00625485i
\(580\) 1.18435 1.41146i 0.0491775 0.0586075i
\(581\) −7.26637 4.19524i −0.301460 0.174048i
\(582\) 8.07393 6.55847i 0.334675 0.271857i
\(583\) −22.0489 + 26.2769i −0.913174 + 1.08828i
\(584\) −13.6896 + 11.4869i −0.566478 + 0.475332i
\(585\) −0.388241 2.70286i −0.0160518 0.111749i
\(586\) −2.28042 12.9329i −0.0942031 0.534252i
\(587\) −15.6884 18.6967i −0.647530 0.771697i 0.338009 0.941143i \(-0.390247\pi\)
−0.985539 + 0.169446i \(0.945802\pi\)
\(588\) 0.471881 0.0754737i 0.0194600 0.00311248i
\(589\) 9.50100 + 22.6207i 0.391482 + 0.932071i
\(590\) −11.1447 + 6.43441i −0.458821 + 0.264900i
\(591\) 23.3369 8.07524i 0.959954 0.332171i
\(592\) 9.62808 26.4529i 0.395712 1.08721i
\(593\) −1.45747 + 1.73695i −0.0598512 + 0.0713279i −0.795139 0.606427i \(-0.792602\pi\)
0.735288 + 0.677755i \(0.237047\pi\)
\(594\) −2.61183 20.4987i −0.107165 0.841073i
\(595\) −0.688484 + 3.90459i −0.0282251 + 0.160073i
\(596\) −1.11622 + 0.644448i −0.0457220 + 0.0263976i
\(597\) 16.7699 43.8863i 0.686346 1.79615i
\(598\) 3.31651 + 2.78288i 0.135622 + 0.113801i
\(599\) −1.68898 1.41722i −0.0690098 0.0579061i 0.607630 0.794220i \(-0.292120\pi\)
−0.676640 + 0.736314i \(0.736565\pi\)
\(600\) −3.48475 4.28996i −0.142264 0.175137i
\(601\) −39.6141 + 22.8712i −1.61589 + 0.932937i −0.627927 + 0.778272i \(0.716096\pi\)
−0.987967 + 0.154664i \(0.950570\pi\)
\(602\) −4.07194 + 23.0931i −0.165960 + 0.941205i
\(603\) −7.83678 4.86391i −0.319138 0.198074i
\(604\) −2.25602 + 2.68862i −0.0917960 + 0.109398i
\(605\) −2.43650 + 6.69422i −0.0990577 + 0.272159i
\(606\) −14.0498 12.1759i −0.570735 0.494612i
\(607\) −33.0308 + 19.0703i −1.34068 + 0.774041i −0.986907 0.161290i \(-0.948434\pi\)
−0.353772 + 0.935332i \(0.615101\pi\)
\(608\) 2.70450 2.50290i 0.109682 0.101506i
\(609\) −8.83462 + 23.1199i −0.357997 + 0.936866i
\(610\) −15.8002 18.8300i −0.639732 0.762403i
\(611\) −0.310671 1.76190i −0.0125684 0.0712790i
\(612\) −0.149122 + 0.372345i −0.00602792 + 0.0150511i
\(613\) −18.9780 + 15.9244i −0.766513 + 0.643181i −0.939813 0.341688i \(-0.889001\pi\)
0.173300 + 0.984869i \(0.444557\pi\)
\(614\) 19.5033 23.2431i 0.787089 0.938016i
\(615\) −26.1159 9.97944i −1.05309 0.402410i
\(616\) 14.4719 + 8.35537i 0.583090 + 0.336647i
\(617\) −7.03648 + 8.38575i −0.283278 + 0.337598i −0.888855 0.458190i \(-0.848498\pi\)
0.605577 + 0.795787i \(0.292943\pi\)
\(618\) −19.8810 + 33.2018i −0.799732 + 1.33557i
\(619\) 37.3953 1.50304 0.751521 0.659709i \(-0.229320\pi\)
0.751521 + 0.659709i \(0.229320\pi\)
\(620\) −0.824129 + 1.42743i −0.0330978 + 0.0573271i
\(621\) −24.2096 22.3704i −0.971499 0.897693i
\(622\) −4.27630 5.09629i −0.171464 0.204343i
\(623\) 17.3799 6.32576i 0.696310 0.253436i
\(624\) 2.60587 + 2.25831i 0.104318 + 0.0904046i
\(625\) −3.07968 17.4657i −0.123187 0.698629i
\(626\) −1.12207 1.94347i −0.0448468 0.0776769i
\(627\) 19.4612 + 6.37216i 0.777207 + 0.254480i
\(628\) −0.237389 + 0.411169i −0.00947284 + 0.0164074i
\(629\) −5.52182 2.00978i −0.220170 0.0801352i
\(630\) 16.5969 + 10.3009i 0.661235 + 0.410397i
\(631\) −8.34756 7.00444i −0.332311 0.278842i 0.461330 0.887229i \(-0.347373\pi\)
−0.793641 + 0.608387i \(0.791817\pi\)
\(632\) 31.8790 5.62113i 1.26808 0.223596i
\(633\) −8.58428 + 14.3359i −0.341194 + 0.569802i
\(634\) 21.8318 0.867051
\(635\) 2.52481 4.37309i 0.100194 0.173541i
\(636\) 0.0522647 3.27982i 0.00207243 0.130053i
\(637\) −0.844558 0.148918i −0.0334626 0.00590036i
\(638\) −21.6705 + 12.5115i −0.857945 + 0.495335i
\(639\) −0.216191 0.193473i −0.00855237 0.00765366i
\(640\) −23.9090 4.21580i −0.945086 0.166644i
\(641\) 7.71231 + 43.7387i 0.304618 + 1.72757i 0.625297 + 0.780386i \(0.284978\pi\)
−0.320680 + 0.947188i \(0.603911\pi\)
\(642\) −27.7354 16.6078i −1.09463 0.655458i
\(643\) 6.17659 5.18277i 0.243581 0.204389i −0.512821 0.858495i \(-0.671400\pi\)
0.756402 + 0.654107i \(0.226955\pi\)
\(644\) −2.12465 + 0.374633i −0.0837230 + 0.0147626i
\(645\) 18.5134 15.0385i 0.728964 0.592139i
\(646\) −3.87561 4.18776i −0.152484 0.164765i
\(647\) 1.23433i 0.0485264i 0.999706 + 0.0242632i \(0.00772397\pi\)
−0.999706 + 0.0242632i \(0.992276\pi\)
\(648\) −17.6658 16.8534i −0.693980 0.662065i
\(649\) 11.9894 2.11406i 0.470627 0.0829842i
\(650\) −0.274561 0.754351i −0.0107692 0.0295881i
\(651\) 4.19164 21.7404i 0.164283 0.852074i
\(652\) −1.81282 + 0.659814i −0.0709957 + 0.0258403i
\(653\) 27.8887i 1.09137i 0.837991 + 0.545684i \(0.183730\pi\)
−0.837991 + 0.545684i \(0.816270\pi\)
\(654\) 37.0348 30.0834i 1.44817 1.17636i
\(655\) 5.47190 31.0327i 0.213805 1.21255i
\(656\) 33.1763 12.0752i 1.29532 0.471457i
\(657\) 18.7762 6.16390i 0.732530 0.240477i
\(658\) 11.0838 + 6.39921i 0.432090 + 0.249467i
\(659\) −25.2736 21.2071i −0.984520 0.826111i 0.000244779 1.00000i \(-0.499922\pi\)
−0.984765 + 0.173889i \(0.944367\pi\)
\(660\) 0.449860 + 1.30007i 0.0175108 + 0.0506051i
\(661\) 7.85254 + 1.38462i 0.305429 + 0.0538553i 0.324262 0.945967i \(-0.394884\pi\)
−0.0188334 + 0.999823i \(0.505995\pi\)
\(662\) −2.74086 3.26643i −0.106527 0.126953i
\(663\) 0.471402 0.543953i 0.0183077 0.0211254i
\(664\) −8.67997 5.01138i −0.336848 0.194479i
\(665\) −16.2742 + 10.4812i −0.631087 + 0.406443i
\(666\) −19.3062 + 21.5732i −0.748100 + 0.835944i
\(667\) −13.6518 + 37.5080i −0.528600 + 1.45232i
\(668\) −0.285760 0.104008i −0.0110564 0.00402419i
\(669\) −17.8133 + 29.7485i −0.688701 + 1.15015i
\(670\) 8.28320 + 3.01484i 0.320008 + 0.116473i
\(671\) 7.95346 + 21.8520i 0.307040 + 0.843585i
\(672\) −3.28362 + 0.525190i −0.126669 + 0.0202597i
\(673\) 9.57507i 0.369092i −0.982824 0.184546i \(-0.940919\pi\)
0.982824 0.184546i \(-0.0590815\pi\)
\(674\) 9.98964 + 27.4463i 0.384786 + 1.05719i
\(675\) 1.81360 + 5.83673i 0.0698054 + 0.224656i
\(676\) −0.957162 1.65785i −0.0368139 0.0637636i
\(677\) −3.70655 6.41993i −0.142454 0.246738i 0.785966 0.618270i \(-0.212166\pi\)
−0.928420 + 0.371532i \(0.878833\pi\)
\(678\) −41.7955 + 23.2507i −1.60514 + 0.892937i
\(679\) 3.18154 8.74122i 0.122096 0.335457i
\(680\) −0.822422 + 4.66419i −0.0315384 + 0.178863i
\(681\) −1.03130 2.98041i −0.0395197 0.114209i
\(682\) 17.1477 14.3886i 0.656619 0.550968i
\(683\) −6.63543 −0.253898 −0.126949 0.991909i \(-0.540518\pi\)
−0.126949 + 0.991909i \(0.540518\pi\)
\(684\) −1.82871 + 0.700408i −0.0699226 + 0.0267808i
\(685\) 5.53671 0.211547
\(686\) 22.5550 18.9259i 0.861153 0.722593i
\(687\) −32.7929 6.32260i −1.25113 0.241222i
\(688\) −5.23035 + 29.6628i −0.199405 + 1.13088i
\(689\) −2.01334 + 5.53160i −0.0767021 + 0.210737i
\(690\) 27.0272 + 16.1838i 1.02891 + 0.616105i
\(691\) −12.2080 21.1449i −0.464416 0.804391i 0.534759 0.845004i \(-0.320402\pi\)
−0.999175 + 0.0406130i \(0.987069\pi\)
\(692\) −0.469066 0.812446i −0.0178312 0.0308846i
\(693\) −11.4214 14.5275i −0.433862 0.551853i
\(694\) 4.44070 + 12.2007i 0.168567 + 0.463133i
\(695\) 17.8233i 0.676076i
\(696\) −10.5533 + 27.6176i −0.400022 + 1.04684i
\(697\) −2.52059 6.92526i −0.0954742 0.262313i
\(698\) −28.8696 10.5077i −1.09273 0.397722i
\(699\) −42.0487 0.670057i −1.59043 0.0253439i
\(700\) 0.375908 + 0.136819i 0.0142080 + 0.00517129i
\(701\) 4.48329 12.3177i 0.169332 0.465235i −0.825780 0.563993i \(-0.809265\pi\)
0.995112 + 0.0987578i \(0.0314869\pi\)
\(702\) −1.62435 3.15235i −0.0613070 0.118978i
\(703\) −11.1097 26.4508i −0.419009 0.997610i
\(704\) 17.1819 + 9.91999i 0.647568 + 0.373874i
\(705\) −4.25694 12.3023i −0.160326 0.463331i
\(706\) 22.6619 + 27.0074i 0.852892 + 1.01644i
\(707\) −16.3734 2.88707i −0.615785 0.108579i
\(708\) −0.762456 + 0.879801i −0.0286548 + 0.0330650i
\(709\) 24.8893 + 20.8846i 0.934736 + 0.784336i 0.976662 0.214784i \(-0.0689049\pi\)
−0.0419258 + 0.999121i \(0.513349\pi\)
\(710\) 0.240119 + 0.138633i 0.00901152 + 0.00520280i
\(711\) −35.0375 7.33624i −1.31401 0.275131i
\(712\) 20.7610 7.55637i 0.778050 0.283187i
\(713\) 6.20042 35.1643i 0.232207 1.31691i
\(714\) 0.813228 + 5.08451i 0.0304343 + 0.190283i
\(715\) 2.46879i 0.0923276i
\(716\) 1.69032 0.615224i 0.0631700 0.0229920i
\(717\) −12.1200 + 4.19387i −0.452630 + 0.156623i
\(718\) 5.84040 + 16.0464i 0.217962 + 0.598845i
\(719\) −11.5426 + 2.03526i −0.430465 + 0.0759026i −0.384683 0.923049i \(-0.625689\pi\)
−0.0457821 + 0.998951i \(0.514578\pi\)
\(720\) 21.3184 + 13.2313i 0.794491 + 0.493102i
\(721\) 34.6074i 1.28885i
\(722\) 2.15369 27.7745i 0.0801522 1.03366i
\(723\) −3.81047 23.8240i −0.141713 0.886025i
\(724\) −1.29976 + 0.229182i −0.0483051 + 0.00851750i
\(725\) 5.66960 4.75736i 0.210564 0.176684i
\(726\) −0.147411 + 9.25059i −0.00547092 + 0.343322i
\(727\) 0.250773 + 1.42221i 0.00930066 + 0.0527467i 0.989105 0.147213i \(-0.0470301\pi\)
−0.979804 + 0.199959i \(0.935919\pi\)
\(728\) 2.82417 + 0.497978i 0.104671 + 0.0184563i
\(729\) 11.2063 + 24.5646i 0.415048 + 0.909800i
\(730\) −16.3561 + 9.44322i −0.605368 + 0.349509i
\(731\) 6.19185 + 1.09179i 0.229014 + 0.0403813i
\(732\) −1.90788 1.14243i −0.0705171 0.0422253i
\(733\) −22.1621 + 38.3858i −0.818575 + 1.41781i 0.0881571 + 0.996107i \(0.471902\pi\)
−0.906732 + 0.421707i \(0.861431\pi\)
\(734\) 0.757043 0.0279430
\(735\) −6.23929 0.0994247i −0.230140 0.00366734i
\(736\) −5.28137 + 0.931249i −0.194674 + 0.0343263i
\(737\) −6.38816 5.36030i −0.235311 0.197449i
\(738\) −36.2902 1.15688i −1.33586 0.0425854i
\(739\) 47.6440 + 17.3410i 1.75261 + 0.637899i 0.999793 0.0203293i \(-0.00647148\pi\)
0.752819 + 0.658228i \(0.228694\pi\)
\(740\) 0.963667 1.66912i 0.0354251 0.0613581i
\(741\) 3.51236 0.114680i 0.129030 0.00421288i
\(742\) −21.0552 36.4688i −0.772962 1.33881i
\(743\) −1.48490 8.42127i −0.0544756 0.308947i 0.945379 0.325972i \(-0.105692\pi\)
−0.999855 + 0.0170254i \(0.994580\pi\)
\(744\) 5.00708 25.9698i 0.183568 0.952099i
\(745\) 15.8153 5.75629i 0.579427 0.210894i
\(746\) −21.4284 25.5374i −0.784550 0.934991i
\(747\) 6.85032 + 8.71330i 0.250640 + 0.318803i
\(748\) −0.181320 + 0.314055i −0.00662970 + 0.0114830i
\(749\) −28.9096 −1.05633
\(750\) −14.9102 26.8026i −0.544444 0.978693i
\(751\) 22.4840 26.7953i 0.820451 0.977776i −0.179531 0.983752i \(-0.557458\pi\)
0.999982 + 0.00597659i \(0.00190242\pi\)
\(752\) 14.2369 + 8.21969i 0.519167 + 0.299741i
\(753\) 7.27004 + 45.4541i 0.264935 + 1.65644i
\(754\) −2.76027 + 3.28956i −0.100523 + 0.119799i
\(755\) 35.1077 29.4588i 1.27770 1.07212i
\(756\) 1.72367 + 0.389673i 0.0626891 + 0.0141723i
\(757\) −6.66965 37.8255i −0.242412 1.37479i −0.826426 0.563046i \(-0.809630\pi\)
0.584013 0.811744i \(-0.301482\pi\)
\(758\) −22.0367 26.2623i −0.800409 0.953890i
\(759\) −18.7903 23.1322i −0.682046 0.839645i
\(760\) −19.4402 + 12.5202i −0.705170 + 0.454155i
\(761\) 9.57956 5.53076i 0.347259 0.200490i −0.316219 0.948686i \(-0.602413\pi\)
0.663477 + 0.748196i \(0.269080\pi\)
\(762\) 1.24153 6.43936i 0.0449760 0.233273i
\(763\) 14.5936 40.0956i 0.528324 1.45156i
\(764\) 1.00041 1.19224i 0.0361934 0.0431337i
\(765\) 2.76193 4.45004i 0.0998576 0.160892i
\(766\) −2.69708 + 15.2959i −0.0974495 + 0.552663i
\(767\) 1.80935 1.04463i 0.0653319 0.0377194i
\(768\) −6.11333 + 0.977780i −0.220596 + 0.0352826i
\(769\) 1.57933 + 1.32521i 0.0569520 + 0.0477884i 0.670819 0.741621i \(-0.265943\pi\)
−0.613867 + 0.789409i \(0.710387\pi\)
\(770\) 13.5289 + 11.3521i 0.487549 + 0.409102i
\(771\) 38.0585