Properties

Label 135.2.q.a.32.15
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.15
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.214747 - 2.45457i) q^{2} +(-1.63667 + 0.566833i) q^{3} +(-4.00918 - 0.706926i) q^{4} +(-2.13597 - 0.661531i) q^{5} +(1.03986 + 4.13905i) q^{6} +(-0.719449 + 1.02748i) q^{7} +(-1.32073 + 4.92901i) q^{8} +(2.35740 - 1.85544i) q^{9} +O(q^{10})\) \(q+(0.214747 - 2.45457i) q^{2} +(-1.63667 + 0.566833i) q^{3} +(-4.00918 - 0.706926i) q^{4} +(-2.13597 - 0.661531i) q^{5} +(1.03986 + 4.13905i) q^{6} +(-0.719449 + 1.02748i) q^{7} +(-1.32073 + 4.92901i) q^{8} +(2.35740 - 1.85544i) q^{9} +(-2.08247 + 5.10083i) q^{10} +(0.955177 - 2.62433i) q^{11} +(6.96242 - 1.11552i) q^{12} +(-5.93299 + 0.519069i) q^{13} +(2.36752 + 1.98658i) q^{14} +(3.87087 - 0.128029i) q^{15} +(4.16396 + 1.51556i) q^{16} +(-1.44057 - 5.37628i) q^{17} +(-4.04806 - 6.18485i) q^{18} +(1.75284 - 1.01200i) q^{19} +(8.09584 + 4.16217i) q^{20} +(0.595094 - 2.08946i) q^{21} +(-6.23647 - 2.90811i) q^{22} +(3.82712 - 2.67978i) q^{23} +(-0.632329 - 8.81582i) q^{24} +(4.12475 + 2.82602i) q^{25} +14.6744i q^{26} +(-2.80657 + 4.37300i) q^{27} +(3.61075 - 3.61075i) q^{28} +(-2.13514 + 1.79159i) q^{29} +(0.517001 - 9.52880i) q^{30} +(0.860131 - 4.87805i) q^{31} +(0.301086 - 0.645681i) q^{32} +(-0.0757589 + 4.83659i) q^{33} +(-13.5058 + 2.38144i) q^{34} +(2.21643 - 1.71873i) q^{35} +(-10.7629 + 5.77228i) q^{36} +(-1.32334 + 0.354589i) q^{37} +(-2.10761 - 4.51978i) q^{38} +(9.41614 - 4.21256i) q^{39} +(6.08173 - 9.65453i) q^{40} +(-0.207426 + 0.247201i) q^{41} +(-5.00092 - 1.90940i) q^{42} +(8.13568 - 3.79373i) q^{43} +(-5.68468 + 9.84615i) q^{44} +(-6.26277 + 2.40367i) q^{45} +(-5.75583 - 9.96940i) q^{46} +(-0.305187 - 0.213694i) q^{47} +(-7.67411 - 0.120205i) q^{48} +(1.85603 + 5.09941i) q^{49} +(7.82244 - 9.51761i) q^{50} +(5.40519 + 7.98265i) q^{51} +(24.1534 + 2.11314i) q^{52} +(-7.96878 - 7.96878i) q^{53} +(10.1311 + 7.82802i) q^{54} +(-3.77630 + 4.97361i) q^{55} +(-4.11426 - 4.90319i) q^{56} +(-2.29519 + 2.64988i) q^{57} +(3.93908 + 5.62558i) q^{58} +(-2.97238 + 1.08186i) q^{59} +(-15.6095 - 2.22313i) q^{60} +(-0.0275256 - 0.156106i) q^{61} +(-11.7888 - 3.15880i) q^{62} +(0.210396 + 3.75708i) q^{63} +(6.15484 + 3.55350i) q^{64} +(13.0161 + 2.81614i) q^{65} +(11.8555 + 1.22460i) q^{66} +(0.707965 + 8.09208i) q^{67} +(1.97487 + 22.5728i) q^{68} +(-4.74476 + 6.55526i) q^{69} +(-3.74277 - 5.80948i) q^{70} +(7.01095 + 4.04777i) q^{71} +(6.03201 + 14.0702i) q^{72} +(5.29760 + 1.41949i) q^{73} +(0.586179 + 3.32439i) q^{74} +(-8.35276 - 2.28723i) q^{75} +(-7.74284 + 2.81816i) q^{76} +(2.00924 + 2.86949i) q^{77} +(-8.31793 - 24.0172i) q^{78} +(-10.3148 - 12.2927i) q^{79} +(-7.89151 - 5.99177i) q^{80} +(2.11469 - 8.74803i) q^{81} +(0.562227 + 0.562227i) q^{82} +(1.73023 + 0.151375i) q^{83} +(-3.86293 + 7.95631i) q^{84} +(-0.479557 + 12.4366i) q^{85} +(-7.56486 - 20.7843i) q^{86} +(2.47899 - 4.14252i) q^{87} +(11.6738 + 8.17410i) q^{88} +(-6.44892 - 11.1699i) q^{89} +(4.55507 + 15.8886i) q^{90} +(3.73515 - 6.46947i) q^{91} +(-17.2380 + 8.03821i) q^{92} +(1.35728 + 8.47132i) q^{93} +(-0.590066 + 0.703213i) q^{94} +(-4.41348 + 1.00205i) q^{95} +(-0.126786 + 1.22743i) q^{96} +(-1.49897 - 3.21455i) q^{97} +(12.9154 - 3.46068i) q^{98} +(-2.61755 - 7.95887i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.214747 2.45457i 0.151849 1.73564i −0.413249 0.910618i \(-0.635606\pi\)
0.565098 0.825024i \(-0.308838\pi\)
\(3\) −1.63667 + 0.566833i −0.944934 + 0.327261i
\(4\) −4.00918 0.706926i −2.00459 0.353463i
\(5\) −2.13597 0.661531i −0.955236 0.295846i
\(6\) 1.03986 + 4.13905i 0.424521 + 1.68976i
\(7\) −0.719449 + 1.02748i −0.271926 + 0.388351i −0.931768 0.363054i \(-0.881734\pi\)
0.659842 + 0.751404i \(0.270623\pi\)
\(8\) −1.32073 + 4.92901i −0.466947 + 1.74267i
\(9\) 2.35740 1.85544i 0.785801 0.618480i
\(10\) −2.08247 + 5.10083i −0.658534 + 1.61302i
\(11\) 0.955177 2.62433i 0.287997 0.791264i −0.708350 0.705862i \(-0.750560\pi\)
0.996347 0.0854029i \(-0.0272177\pi\)
\(12\) 6.96242 1.11552i 2.00988 0.322024i
\(13\) −5.93299 + 0.519069i −1.64552 + 0.143964i −0.871898 0.489688i \(-0.837111\pi\)
−0.773618 + 0.633652i \(0.781555\pi\)
\(14\) 2.36752 + 1.98658i 0.632746 + 0.530937i
\(15\) 3.87087 0.128029i 0.999453 0.0330569i
\(16\) 4.16396 + 1.51556i 1.04099 + 0.378889i
\(17\) −1.44057 5.37628i −0.349390 1.30394i −0.887400 0.461001i \(-0.847490\pi\)
0.538010 0.842938i \(-0.319176\pi\)
\(18\) −4.04806 6.18485i −0.954137 1.45778i
\(19\) 1.75284 1.01200i 0.402128 0.232169i −0.285274 0.958446i \(-0.592084\pi\)
0.687402 + 0.726277i \(0.258751\pi\)
\(20\) 8.09584 + 4.16217i 1.81028 + 0.930689i
\(21\) 0.595094 2.08946i 0.129860 0.455957i
\(22\) −6.23647 2.90811i −1.32962 0.620012i
\(23\) 3.82712 2.67978i 0.798009 0.558772i −0.101928 0.994792i \(-0.532501\pi\)
0.899937 + 0.436020i \(0.143612\pi\)
\(24\) −0.632329 8.81582i −0.129074 1.79952i
\(25\) 4.12475 + 2.82602i 0.824951 + 0.565204i
\(26\) 14.6744i 2.87789i
\(27\) −2.80657 + 4.37300i −0.540125 + 0.841585i
\(28\) 3.61075 3.61075i 0.682367 0.682367i
\(29\) −2.13514 + 1.79159i −0.396485 + 0.332691i −0.819133 0.573603i \(-0.805545\pi\)
0.422648 + 0.906294i \(0.361101\pi\)
\(30\) 0.517001 9.52880i 0.0943911 1.73971i
\(31\) 0.860131 4.87805i 0.154484 0.876123i −0.804772 0.593584i \(-0.797712\pi\)
0.959256 0.282539i \(-0.0911765\pi\)
\(32\) 0.301086 0.645681i 0.0532250 0.114141i
\(33\) −0.0757589 + 4.83659i −0.0131879 + 0.841943i
\(34\) −13.5058 + 2.38144i −2.31623 + 0.408413i
\(35\) 2.21643 1.71873i 0.374645 0.290518i
\(36\) −10.7629 + 5.77228i −1.79382 + 0.962046i
\(37\) −1.32334 + 0.354589i −0.217556 + 0.0582941i −0.365951 0.930634i \(-0.619256\pi\)
0.148394 + 0.988928i \(0.452590\pi\)
\(38\) −2.10761 4.51978i −0.341899 0.733206i
\(39\) 9.41614 4.21256i 1.50779 0.674549i
\(40\) 6.08173 9.65453i 0.961605 1.52652i
\(41\) −0.207426 + 0.247201i −0.0323945 + 0.0386063i −0.781998 0.623280i \(-0.785800\pi\)
0.749604 + 0.661887i \(0.230244\pi\)
\(42\) −5.00092 1.90940i −0.771658 0.294627i
\(43\) 8.13568 3.79373i 1.24068 0.578538i 0.312234 0.950005i \(-0.398923\pi\)
0.928446 + 0.371467i \(0.121145\pi\)
\(44\) −5.68468 + 9.84615i −0.856997 + 1.48436i
\(45\) −6.26277 + 2.40367i −0.933599 + 0.358319i
\(46\) −5.75583 9.96940i −0.848652 1.46991i
\(47\) −0.305187 0.213694i −0.0445161 0.0311705i 0.551107 0.834435i \(-0.314206\pi\)
−0.595623 + 0.803264i \(0.703095\pi\)
\(48\) −7.67411 0.120205i −1.10766 0.0173501i
\(49\) 1.85603 + 5.09941i 0.265148 + 0.728487i
\(50\) 7.82244 9.51761i 1.10626 1.34599i
\(51\) 5.40519 + 7.98265i 0.756878 + 1.11780i
\(52\) 24.1534 + 2.11314i 3.34947 + 0.293040i
\(53\) −7.96878 7.96878i −1.09460 1.09460i −0.995031 0.0995653i \(-0.968255\pi\)
−0.0995653 0.995031i \(-0.531745\pi\)
\(54\) 10.1311 + 7.82802i 1.37867 + 1.06526i
\(55\) −3.77630 + 4.97361i −0.509197 + 0.670642i
\(56\) −4.11426 4.90319i −0.549792 0.655216i
\(57\) −2.29519 + 2.64988i −0.304005 + 0.350985i
\(58\) 3.93908 + 5.62558i 0.517226 + 0.738675i
\(59\) −2.97238 + 1.08186i −0.386971 + 0.140846i −0.528177 0.849134i \(-0.677124\pi\)
0.141206 + 0.989980i \(0.454902\pi\)
\(60\) −15.6095 2.22313i −2.01518 0.287004i
\(61\) −0.0275256 0.156106i −0.00352429 0.0199873i 0.982995 0.183633i \(-0.0587858\pi\)
−0.986519 + 0.163646i \(0.947675\pi\)
\(62\) −11.7888 3.15880i −1.49718 0.401168i
\(63\) 0.210396 + 3.75708i 0.0265075 + 0.473347i
\(64\) 6.15484 + 3.55350i 0.769355 + 0.444187i
\(65\) 13.0161 + 2.81614i 1.61445 + 0.349299i
\(66\) 11.8555 + 1.22460i 1.45931 + 0.150738i
\(67\) 0.707965 + 8.09208i 0.0864917 + 0.988605i 0.908156 + 0.418633i \(0.137491\pi\)
−0.821664 + 0.569972i \(0.806954\pi\)
\(68\) 1.97487 + 22.5728i 0.239488 + 2.73736i
\(69\) −4.74476 + 6.55526i −0.571202 + 0.789160i
\(70\) −3.74277 5.80948i −0.447346 0.694365i
\(71\) 7.01095 + 4.04777i 0.832046 + 0.480382i 0.854553 0.519365i \(-0.173831\pi\)
−0.0225065 + 0.999747i \(0.507165\pi\)
\(72\) 6.03201 + 14.0702i 0.710879 + 1.65819i
\(73\) 5.29760 + 1.41949i 0.620037 + 0.166139i 0.555145 0.831754i \(-0.312663\pi\)
0.0648926 + 0.997892i \(0.479330\pi\)
\(74\) 0.586179 + 3.32439i 0.0681419 + 0.386452i
\(75\) −8.35276 2.28723i −0.964493 0.264107i
\(76\) −7.74284 + 2.81816i −0.888165 + 0.323266i
\(77\) 2.00924 + 2.86949i 0.228974 + 0.327009i
\(78\) −8.31793 24.0172i −0.941820 2.71941i
\(79\) −10.3148 12.2927i −1.16051 1.38304i −0.909838 0.414964i \(-0.863794\pi\)
−0.250668 0.968073i \(-0.580650\pi\)
\(80\) −7.89151 5.99177i −0.882298 0.669900i
\(81\) 2.11469 8.74803i 0.234965 0.972004i
\(82\) 0.562227 + 0.562227i 0.0620876 + 0.0620876i
\(83\) 1.73023 + 0.151375i 0.189917 + 0.0166156i 0.181718 0.983351i \(-0.441834\pi\)
0.00819974 + 0.999966i \(0.497390\pi\)
\(84\) −3.86293 + 7.95631i −0.421480 + 0.868104i
\(85\) −0.479557 + 12.4366i −0.0520152 + 1.34893i
\(86\) −7.56486 20.7843i −0.815740 2.24123i
\(87\) 2.47899 4.14252i 0.265776 0.444125i
\(88\) 11.6738 + 8.17410i 1.24443 + 0.871361i
\(89\) −6.44892 11.1699i −0.683584 1.18400i −0.973879 0.227066i \(-0.927087\pi\)
0.290295 0.956937i \(-0.406247\pi\)
\(90\) 4.55507 + 15.8886i 0.480147 + 1.67480i
\(91\) 3.73515 6.46947i 0.391550 0.678185i
\(92\) −17.2380 + 8.03821i −1.79719 + 0.838041i
\(93\) 1.35728 + 8.47132i 0.140744 + 0.878435i
\(94\) −0.590066 + 0.703213i −0.0608606 + 0.0725309i
\(95\) −4.41348 + 1.00205i −0.452814 + 0.102808i
\(96\) −0.126786 + 1.22743i −0.0129401 + 0.125274i
\(97\) −1.49897 3.21455i −0.152197 0.326388i 0.815395 0.578904i \(-0.196520\pi\)
−0.967593 + 0.252517i \(0.918742\pi\)
\(98\) 12.9154 3.46068i 1.30466 0.349581i
\(99\) −2.61755 7.95887i −0.263073 0.799896i
\(100\) −14.5391 14.2459i −1.45391 1.42459i
\(101\) −9.18834 + 1.62015i −0.914274 + 0.161211i −0.610943 0.791674i \(-0.709210\pi\)
−0.303330 + 0.952885i \(0.598099\pi\)
\(102\) 20.7547 11.5532i 2.05502 1.14393i
\(103\) −0.291593 + 0.625323i −0.0287315 + 0.0616149i −0.920150 0.391567i \(-0.871933\pi\)
0.891418 + 0.453181i \(0.149711\pi\)
\(104\) 5.27735 29.9293i 0.517487 2.93481i
\(105\) −2.65334 + 4.06935i −0.258940 + 0.397127i
\(106\) −21.2712 + 17.8487i −2.06604 + 1.73361i
\(107\) 7.01111 7.01111i 0.677790 0.677790i −0.281710 0.959500i \(-0.590902\pi\)
0.959500 + 0.281710i \(0.0909016\pi\)
\(108\) 14.3434 15.5481i 1.38020 1.49612i
\(109\) 3.98129i 0.381339i −0.981654 0.190669i \(-0.938934\pi\)
0.981654 0.190669i \(-0.0610658\pi\)
\(110\) 11.3971 + 10.3373i 1.08667 + 0.985620i
\(111\) 1.96489 1.33046i 0.186499 0.126282i
\(112\) −4.55296 + 3.18801i −0.430214 + 0.301239i
\(113\) −11.5434 5.38280i −1.08592 0.506371i −0.204575 0.978851i \(-0.565581\pi\)
−0.881341 + 0.472480i \(0.843359\pi\)
\(114\) 6.01143 + 6.20275i 0.563022 + 0.580941i
\(115\) −9.94737 + 3.19217i −0.927597 + 0.297672i
\(116\) 9.82667 5.67343i 0.912383 0.526765i
\(117\) −13.0233 + 12.2320i −1.20401 + 1.13085i
\(118\) 2.01718 + 7.52823i 0.185697 + 0.693030i
\(119\) 6.56043 + 2.38780i 0.601394 + 0.218889i
\(120\) −4.48130 + 19.2486i −0.409084 + 1.75715i
\(121\) 2.45176 + 2.05727i 0.222887 + 0.187024i
\(122\) −0.389083 + 0.0340403i −0.0352259 + 0.00308187i
\(123\) 0.199367 0.522163i 0.0179763 0.0470818i
\(124\) −6.89684 + 18.9489i −0.619354 + 1.70166i
\(125\) −6.94086 8.76496i −0.620809 0.783962i
\(126\) 9.26718 + 0.290388i 0.825586 + 0.0258698i
\(127\) 0.384839 1.43624i 0.0341489 0.127445i −0.946747 0.321978i \(-0.895652\pi\)
0.980896 + 0.194532i \(0.0623190\pi\)
\(128\) 10.8613 15.5115i 0.960012 1.37104i
\(129\) −11.1650 + 10.8207i −0.983027 + 0.952707i
\(130\) 9.70757 31.3441i 0.851410 2.74906i
\(131\) −4.86082 0.857093i −0.424691 0.0748846i −0.0427823 0.999084i \(-0.513622\pi\)
−0.381909 + 0.924200i \(0.624733\pi\)
\(132\) 3.72284 19.3372i 0.324032 1.68309i
\(133\) −0.221266 + 2.52909i −0.0191862 + 0.219300i
\(134\) 20.0146 1.72900
\(135\) 8.88764 7.48398i 0.764926 0.644118i
\(136\) 28.4024 2.43548
\(137\) −0.808148 + 9.23718i −0.0690448 + 0.789185i 0.880191 + 0.474620i \(0.157414\pi\)
−0.949236 + 0.314566i \(0.898141\pi\)
\(138\) 15.0714 + 13.0541i 1.28296 + 1.11124i
\(139\) −0.653880 0.115297i −0.0554614 0.00977934i 0.145849 0.989307i \(-0.453409\pi\)
−0.201310 + 0.979528i \(0.564520\pi\)
\(140\) −10.1011 + 5.32384i −0.853697 + 0.449946i
\(141\) 0.620621 + 0.176758i 0.0522657 + 0.0148857i
\(142\) 11.4411 16.3396i 0.960117 1.37119i
\(143\) −4.30485 + 16.0659i −0.359990 + 1.34350i
\(144\) 12.6281 4.15320i 1.05235 0.346100i
\(145\) 5.74579 2.41433i 0.477162 0.200500i
\(146\) 4.62188 12.6985i 0.382509 1.05094i
\(147\) −5.92823 7.29401i −0.488953 0.601600i
\(148\) 5.55619 0.486104i 0.456716 0.0399575i
\(149\) −3.98025 3.33983i −0.326075 0.273610i 0.465023 0.885298i \(-0.346046\pi\)
−0.791098 + 0.611689i \(0.790490\pi\)
\(150\) −7.40790 + 20.0112i −0.604852 + 1.63391i
\(151\) 3.92942 + 1.43019i 0.319772 + 0.116387i 0.496919 0.867797i \(-0.334465\pi\)
−0.177147 + 0.984184i \(0.556687\pi\)
\(152\) 2.67315 + 9.97633i 0.216821 + 0.809187i
\(153\) −13.3714 10.0012i −1.08101 0.808546i
\(154\) 7.47485 4.31561i 0.602340 0.347761i
\(155\) −5.06419 + 9.85037i −0.406766 + 0.791201i
\(156\) −40.7290 + 10.2324i −3.26093 + 0.819246i
\(157\) 12.4456 + 5.80347i 0.993266 + 0.463168i 0.850151 0.526538i \(-0.176510\pi\)
0.143115 + 0.989706i \(0.454288\pi\)
\(158\) −32.3884 + 22.6786i −2.57668 + 1.80421i
\(159\) 17.5593 + 8.52533i 1.39254 + 0.676103i
\(160\) −1.07025 + 1.17998i −0.0846106 + 0.0932855i
\(161\) 5.86025i 0.461852i
\(162\) −21.0185 7.06925i −1.65137 0.555413i
\(163\) 14.8723 14.8723i 1.16489 1.16489i 0.181498 0.983391i \(-0.441905\pi\)
0.983391 0.181498i \(-0.0580947\pi\)
\(164\) 1.00636 0.844437i 0.0785835 0.0659394i
\(165\) 3.36137 10.2807i 0.261683 0.800352i
\(166\) 0.743123 4.21446i 0.0576775 0.327105i
\(167\) 1.54136 3.30546i 0.119274 0.255784i −0.837602 0.546281i \(-0.816043\pi\)
0.956876 + 0.290497i \(0.0938208\pi\)
\(168\) 9.51300 + 5.69282i 0.733944 + 0.439211i
\(169\) 22.1284 3.90184i 1.70219 0.300142i
\(170\) 30.4234 + 3.84782i 2.33337 + 0.295114i
\(171\) 2.25443 5.63798i 0.172401 0.431147i
\(172\) −35.2993 + 9.45841i −2.69154 + 0.721197i
\(173\) 3.46254 + 7.42544i 0.263252 + 0.564546i 0.992855 0.119325i \(-0.0380730\pi\)
−0.729603 + 0.683871i \(0.760295\pi\)
\(174\) −9.63574 6.97445i −0.730484 0.528731i
\(175\) −5.87123 + 2.20492i −0.443823 + 0.166676i
\(176\) 7.95463 9.47996i 0.599603 0.714579i
\(177\) 4.25158 3.45549i 0.319568 0.259730i
\(178\) −28.8021 + 13.4306i −2.15881 + 1.00667i
\(179\) −3.07632 + 5.32834i −0.229935 + 0.398259i −0.957789 0.287474i \(-0.907185\pi\)
0.727854 + 0.685732i \(0.240518\pi\)
\(180\) 26.8078 5.20944i 1.99813 0.388289i
\(181\) −4.75332 8.23298i −0.353311 0.611953i 0.633516 0.773729i \(-0.281611\pi\)
−0.986827 + 0.161777i \(0.948278\pi\)
\(182\) −15.0776 10.5575i −1.11763 0.782573i
\(183\) 0.133536 + 0.239891i 0.00987128 + 0.0177333i
\(184\) 8.15408 + 22.4032i 0.601127 + 1.65158i
\(185\) 3.06120 + 0.118041i 0.225064 + 0.00867851i
\(186\) 21.0849 1.51235i 1.54602 0.110891i
\(187\) −15.4851 1.35477i −1.13238 0.0990708i
\(188\) 1.07248 + 1.07248i 0.0782189 + 0.0782189i
\(189\) −2.47398 6.02985i −0.179956 0.438607i
\(190\) 1.51182 + 11.0484i 0.109679 + 0.801534i
\(191\) 8.71630 + 10.3877i 0.630690 + 0.751627i 0.982869 0.184306i \(-0.0590037\pi\)
−0.352179 + 0.935933i \(0.614559\pi\)
\(192\) −12.0877 2.32715i −0.872354 0.167948i
\(193\) −10.0288 14.3226i −0.721888 1.03096i −0.997567 0.0697136i \(-0.977791\pi\)
0.275679 0.961250i \(-0.411097\pi\)
\(194\) −8.21222 + 2.98900i −0.589603 + 0.214598i
\(195\) −22.8994 + 2.76884i −1.63986 + 0.198281i
\(196\) −3.83626 21.7565i −0.274019 1.55404i
\(197\) −1.80112 0.482608i −0.128324 0.0343844i 0.194085 0.980985i \(-0.437826\pi\)
−0.322410 + 0.946600i \(0.604493\pi\)
\(198\) −20.0977 + 4.71580i −1.42828 + 0.335138i
\(199\) 6.71379 + 3.87621i 0.475928 + 0.274777i 0.718718 0.695302i \(-0.244729\pi\)
−0.242790 + 0.970079i \(0.578063\pi\)
\(200\) −19.3772 + 16.5986i −1.37017 + 1.17370i
\(201\) −5.74556 12.8428i −0.405261 0.905861i
\(202\) 2.00361 + 22.9013i 0.140973 + 1.61133i
\(203\) −0.304703 3.48277i −0.0213859 0.244443i
\(204\) −16.0272 35.8249i −1.12213 2.50825i
\(205\) 0.606587 0.390795i 0.0423659 0.0272943i
\(206\) 1.47228 + 0.850021i 0.102579 + 0.0592237i
\(207\) 4.04989 13.4183i 0.281487 0.932636i
\(208\) −25.4914 6.83040i −1.76751 0.473603i
\(209\) −0.981552 5.56666i −0.0678954 0.385054i
\(210\) 9.41869 + 7.38669i 0.649951 + 0.509730i
\(211\) −20.1076 + 7.31857i −1.38426 + 0.503831i −0.923468 0.383675i \(-0.874658\pi\)
−0.460796 + 0.887506i \(0.652436\pi\)
\(212\) 26.3149 + 37.5816i 1.80732 + 2.58111i
\(213\) −13.7690 2.65085i −0.943439 0.181633i
\(214\) −15.7036 18.7149i −1.07348 1.27932i
\(215\) −19.8873 + 2.72130i −1.35630 + 0.185591i
\(216\) −17.8479 19.6092i −1.21439 1.33424i
\(217\) 4.39327 + 4.39327i 0.298235 + 0.298235i
\(218\) −9.77236 0.854971i −0.661868 0.0579059i
\(219\) −9.47506 + 0.679614i −0.640265 + 0.0459241i
\(220\) 18.6558 17.2705i 1.25778 1.16438i
\(221\) 11.3376 + 31.1497i 0.762646 + 2.09535i
\(222\) −2.84375 5.10867i −0.190860 0.342872i
\(223\) 18.8664 + 13.2104i 1.26339 + 0.884633i 0.996859 0.0791939i \(-0.0252346\pi\)
0.266528 + 0.963827i \(0.414124\pi\)
\(224\) 0.446808 + 0.773894i 0.0298536 + 0.0517079i
\(225\) 14.9672 0.991164i 0.997814 0.0660776i
\(226\) −15.6914 + 27.1782i −1.04377 + 1.80787i
\(227\) 21.5391 10.0438i 1.42960 0.666633i 0.454979 0.890502i \(-0.349647\pi\)
0.974619 + 0.223869i \(0.0718689\pi\)
\(228\) 11.0751 9.00131i 0.733465 0.596126i
\(229\) 9.86052 11.7513i 0.651602 0.776549i −0.334553 0.942377i \(-0.608585\pi\)
0.986155 + 0.165828i \(0.0530297\pi\)
\(230\) 5.69924 + 25.1020i 0.375797 + 1.65518i
\(231\) −4.91499 3.55752i −0.323383 0.234068i
\(232\) −6.01086 12.8903i −0.394632 0.846291i
\(233\) 12.2912 3.29342i 0.805223 0.215759i 0.167347 0.985898i \(-0.446480\pi\)
0.637876 + 0.770139i \(0.279813\pi\)
\(234\) 27.2275 + 34.5935i 1.77992 + 2.26145i
\(235\) 0.510506 + 0.658336i 0.0333017 + 0.0429451i
\(236\) 12.6816 2.23611i 0.825501 0.145558i
\(237\) 23.8499 + 14.2724i 1.54922 + 0.927091i
\(238\) 7.26986 15.5903i 0.471235 1.01057i
\(239\) 0.944310 5.35545i 0.0610824 0.346415i −0.938915 0.344149i \(-0.888167\pi\)
0.999997 0.00226637i \(-0.000721408\pi\)
\(240\) 16.3122 + 5.33341i 1.05295 + 0.344270i
\(241\) 5.71656 4.79676i 0.368236 0.308987i −0.439827 0.898082i \(-0.644960\pi\)
0.808063 + 0.589096i \(0.200516\pi\)
\(242\) 5.57622 5.57622i 0.358453 0.358453i
\(243\) 1.49762 + 15.5164i 0.0960724 + 0.995374i
\(244\) 0.645313i 0.0413119i
\(245\) −0.591020 12.1200i −0.0377589 0.774320i
\(246\) −1.23887 0.601494i −0.0789875 0.0383498i
\(247\) −9.87427 + 6.91404i −0.628285 + 0.439930i
\(248\) 22.9080 + 10.6822i 1.45466 + 0.678318i
\(249\) −2.91762 + 0.732998i −0.184897 + 0.0464518i
\(250\) −23.0047 + 15.1546i −1.45495 + 0.958459i
\(251\) 4.37402 2.52534i 0.276086 0.159398i −0.355564 0.934652i \(-0.615711\pi\)
0.631650 + 0.775254i \(0.282378\pi\)
\(252\) 1.81246 15.2115i 0.114174 0.958235i
\(253\) −3.37704 12.6033i −0.212312 0.792361i
\(254\) −3.44270 1.25304i −0.216014 0.0786228i
\(255\) −6.26457 20.6264i −0.392303 1.29168i
\(256\) −24.8532 20.8543i −1.55332 1.30339i
\(257\) 26.5895 2.32628i 1.65861 0.145109i 0.781013 0.624514i \(-0.214703\pi\)
0.877594 + 0.479405i \(0.159147\pi\)
\(258\) 24.1624 + 29.7291i 1.50429 + 1.85085i
\(259\) 0.587745 1.61482i 0.0365207 0.100340i
\(260\) −50.1930 20.4918i −3.11284 1.27085i
\(261\) −1.70918 + 8.18513i −0.105796 + 0.506647i
\(262\) −3.14764 + 11.7471i −0.194462 + 0.725741i
\(263\) −15.0278 + 21.4619i −0.926654 + 1.32340i 0.0195432 + 0.999809i \(0.493779\pi\)
−0.946197 + 0.323590i \(0.895110\pi\)
\(264\) −23.7396 6.76123i −1.46107 0.416125i
\(265\) 11.7495 + 22.2927i 0.721766 + 1.36943i
\(266\) 6.16030 + 1.08623i 0.377712 + 0.0666009i
\(267\) 16.8862 + 14.6260i 1.03342 + 0.895094i
\(268\) 2.88214 32.9431i 0.176055 2.01232i
\(269\) 2.30251 0.140387 0.0701934 0.997533i \(-0.477638\pi\)
0.0701934 + 0.997533i \(0.477638\pi\)
\(270\) −16.4613 23.4225i −1.00181 1.42545i
\(271\) 6.12068 0.371805 0.185902 0.982568i \(-0.440479\pi\)
0.185902 + 0.982568i \(0.440479\pi\)
\(272\) 2.14958 24.5699i 0.130338 1.48977i
\(273\) −2.44612 + 12.7056i −0.148046 + 0.768979i
\(274\) 22.4997 + 3.96731i 1.35926 + 0.239674i
\(275\) 11.3563 8.12535i 0.684809 0.489977i
\(276\) 23.6567 22.9270i 1.42396 1.38004i
\(277\) −6.07315 + 8.67336i −0.364901 + 0.521132i −0.959055 0.283219i \(-0.908598\pi\)
0.594155 + 0.804351i \(0.297487\pi\)
\(278\) −0.423423 + 1.58023i −0.0253952 + 0.0947762i
\(279\) −7.02325 13.0954i −0.420471 0.784003i
\(280\) 5.54434 + 13.1948i 0.331338 + 0.788539i
\(281\) −2.07965 + 5.71378i −0.124061 + 0.340856i −0.986139 0.165920i \(-0.946941\pi\)
0.862078 + 0.506776i \(0.169163\pi\)
\(282\) 0.567141 1.48540i 0.0337728 0.0884542i
\(283\) 3.56859 0.312211i 0.212131 0.0185590i 0.0194049 0.999812i \(-0.493823\pi\)
0.192726 + 0.981253i \(0.438267\pi\)
\(284\) −25.2466 21.1845i −1.49811 1.25707i
\(285\) 6.65543 4.14173i 0.394234 0.245335i
\(286\) 38.5104 + 14.0167i 2.27717 + 0.828822i
\(287\) −0.104761 0.390974i −0.00618386 0.0230785i
\(288\) −0.488241 2.08078i −0.0287699 0.122611i
\(289\) −12.1067 + 6.98981i −0.712160 + 0.411166i
\(290\) −4.69226 14.6219i −0.275539 0.858628i
\(291\) 4.27543 + 4.41150i 0.250630 + 0.258607i
\(292\) −20.2355 9.43599i −1.18420 0.552200i
\(293\) 21.8477 15.2979i 1.27636 0.893714i 0.278582 0.960412i \(-0.410135\pi\)
0.997773 + 0.0666984i \(0.0212465\pi\)
\(294\) −19.1767 + 12.9849i −1.11841 + 0.757294i
\(295\) 7.06460 0.344498i 0.411317 0.0200574i
\(296\) 6.99110i 0.406349i
\(297\) 8.79541 + 11.5424i 0.510362 + 0.669756i
\(298\) −9.05259 + 9.05259i −0.524403 + 0.524403i
\(299\) −21.3153 + 17.8856i −1.23269 + 1.03435i
\(300\) 31.8708 + 15.0747i 1.84006 + 0.870338i
\(301\) −1.95523 + 11.0886i −0.112697 + 0.639138i
\(302\) 4.35434 9.33791i 0.250564 0.537336i
\(303\) 14.1200 7.85991i 0.811170 0.451540i
\(304\) 8.83248 1.55741i 0.506578 0.0893233i
\(305\) −0.0444746 + 0.351646i −0.00254661 + 0.0201352i
\(306\) −27.4200 + 30.6732i −1.56750 + 1.75347i
\(307\) −12.6303 + 3.38428i −0.720850 + 0.193151i −0.600551 0.799586i \(-0.705052\pi\)
−0.120299 + 0.992738i \(0.538385\pi\)
\(308\) −6.02688 12.9247i −0.343413 0.736453i
\(309\) 0.122789 1.18873i 0.00698522 0.0676247i
\(310\) 23.0909 + 14.5457i 1.31147 + 0.826143i
\(311\) −7.01743 + 8.36305i −0.397922 + 0.474225i −0.927385 0.374108i \(-0.877949\pi\)
0.529463 + 0.848333i \(0.322393\pi\)
\(312\) 8.32762 + 51.9759i 0.471459 + 2.94256i
\(313\) −4.35380 + 2.03021i −0.246091 + 0.114754i −0.541751 0.840539i \(-0.682238\pi\)
0.295660 + 0.955293i \(0.404461\pi\)
\(314\) 16.9177 29.3023i 0.954720 1.65362i
\(315\) 2.03602 8.16419i 0.114717 0.460000i
\(316\) 32.6638 + 56.5754i 1.83748 + 3.18262i
\(317\) −25.8905 18.1287i −1.45415 1.01821i −0.991278 0.131787i \(-0.957929\pi\)
−0.462876 0.886423i \(-0.653182\pi\)
\(318\) 24.6968 41.2696i 1.38493 2.31429i
\(319\) 2.66229 + 7.31459i 0.149060 + 0.409538i
\(320\) −10.7958 11.6618i −0.603504 0.651914i
\(321\) −7.50077 + 15.4490i −0.418652 + 0.862281i
\(322\) 14.3844 + 1.25847i 0.801610 + 0.0701318i
\(323\) −7.96588 7.96588i −0.443234 0.443234i
\(324\) −14.6624 + 33.5775i −0.814576 + 1.86542i
\(325\) −25.9390 14.6257i −1.43884 0.811290i
\(326\) −33.3113 39.6989i −1.84494 2.19872i
\(327\) 2.25673 + 6.51608i 0.124797 + 0.360340i
\(328\) −0.944503 1.34889i −0.0521515 0.0744800i
\(329\) 0.439133 0.159831i 0.0242102 0.00881179i
\(330\) −24.5129 10.4585i −1.34939 0.575720i
\(331\) −4.86664 27.6001i −0.267495 1.51704i −0.761835 0.647771i \(-0.775701\pi\)
0.494340 0.869268i \(-0.335410\pi\)
\(332\) −6.82978 1.83003i −0.374833 0.100436i
\(333\) −2.46174 + 3.29129i −0.134902 + 0.180362i
\(334\) −7.78247 4.49321i −0.425838 0.245858i
\(335\) 3.84097 17.7528i 0.209854 0.969939i
\(336\) 5.64463 7.79850i 0.307940 0.425443i
\(337\) −3.14172 35.9100i −0.171140 1.95614i −0.274727 0.961522i \(-0.588587\pi\)
0.103586 0.994620i \(-0.466968\pi\)
\(338\) −4.82532 55.1537i −0.262463 2.99997i
\(339\) 21.9440 + 2.26668i 1.19183 + 0.123109i
\(340\) 10.7144 49.5214i 0.581068 2.68567i
\(341\) −11.9800 6.91666i −0.648754 0.374558i
\(342\) −13.3547 6.74440i −0.722138 0.364695i
\(343\) −15.0559 4.03422i −0.812944 0.217828i
\(344\) 7.95435 + 45.1114i 0.428870 + 2.43224i
\(345\) 14.4712 10.8630i 0.779102 0.584846i
\(346\) 18.9698 6.90445i 1.01982 0.371186i
\(347\) 9.22149 + 13.1696i 0.495035 + 0.706984i 0.986472 0.163930i \(-0.0524170\pi\)
−0.491437 + 0.870913i \(0.663528\pi\)
\(348\) −12.8672 + 14.8556i −0.689752 + 0.796345i
\(349\) 3.65928 + 4.36096i 0.195877 + 0.233437i 0.855039 0.518564i \(-0.173533\pi\)
−0.659162 + 0.752001i \(0.729089\pi\)
\(350\) 4.15130 + 14.8848i 0.221896 + 0.795628i
\(351\) 14.3815 27.4018i 0.767627 1.46260i
\(352\) −1.40689 1.40689i −0.0749873 0.0749873i
\(353\) 13.9775 + 1.22287i 0.743946 + 0.0650869i 0.452825 0.891599i \(-0.350416\pi\)
0.291121 + 0.956686i \(0.405972\pi\)
\(354\) −7.56872 11.1779i −0.402273 0.594096i
\(355\) −12.2975 13.2839i −0.652682 0.705035i
\(356\) 17.9586 + 49.3408i 0.951804 + 2.61506i
\(357\) −12.0908 0.189386i −0.639911 0.0100234i
\(358\) 12.4181 + 8.69528i 0.656319 + 0.459560i
\(359\) 3.44870 + 5.97333i 0.182016 + 0.315260i 0.942567 0.334018i \(-0.108405\pi\)
−0.760551 + 0.649278i \(0.775071\pi\)
\(360\) −3.57634 34.0439i −0.188490 1.79427i
\(361\) −7.45171 + 12.9067i −0.392195 + 0.679302i
\(362\) −21.2292 + 9.89933i −1.11578 + 0.520297i
\(363\) −5.17886 1.97734i −0.271819 0.103784i
\(364\) −19.5483 + 23.2968i −1.02461 + 1.22108i
\(365\) −10.3765 6.53651i −0.543131 0.342137i
\(366\) 0.617506 0.276258i 0.0322776 0.0144402i
\(367\) −1.50657 3.23085i −0.0786424 0.168649i 0.863055 0.505110i \(-0.168548\pi\)
−0.941698 + 0.336460i \(0.890770\pi\)
\(368\) 19.9973 5.35826i 1.04243 0.279319i
\(369\) −0.0303204 + 0.967618i −0.00157842 + 0.0503722i
\(370\) 0.947122 7.48857i 0.0492385 0.389312i
\(371\) 13.9209 2.45463i 0.722736 0.127438i
\(372\) 0.547016 34.9225i 0.0283615 1.81065i
\(373\) −5.20069 + 11.1529i −0.269282 + 0.577476i −0.993724 0.111859i \(-0.964319\pi\)
0.724443 + 0.689335i \(0.242097\pi\)
\(374\) −6.65076 + 37.7184i −0.343903 + 1.95037i
\(375\) 16.3282 + 10.4111i 0.843184 + 0.537625i
\(376\) 1.45637 1.22204i 0.0751066 0.0630219i
\(377\) 11.7378 11.7378i 0.604527 0.604527i
\(378\) −15.3320 + 4.77767i −0.788591 + 0.245737i
\(379\) 15.9996i 0.821843i 0.911671 + 0.410922i \(0.134793\pi\)
−0.911671 + 0.410922i \(0.865207\pi\)
\(380\) 18.4028 0.897393i 0.944044 0.0460353i
\(381\) 0.184251 + 2.56879i 0.00943946 + 0.131603i
\(382\) 27.3691 19.1640i 1.40032 0.980518i
\(383\) 22.6172 + 10.5466i 1.15568 + 0.538904i 0.903421 0.428755i \(-0.141048\pi\)
0.252262 + 0.967659i \(0.418825\pi\)
\(384\) −8.98396 + 31.5439i −0.458461 + 1.60972i
\(385\) −2.39342 7.45833i −0.121980 0.380112i
\(386\) −37.3095 + 21.5406i −1.89900 + 1.09639i
\(387\) 12.1400 24.0386i 0.617112 1.22195i
\(388\) 3.73718 + 13.9473i 0.189726 + 0.708069i
\(389\) −17.5837 6.39994i −0.891529 0.324490i −0.144676 0.989479i \(-0.546214\pi\)
−0.746853 + 0.664989i \(0.768436\pi\)
\(390\) 1.87875 + 56.8027i 0.0951340 + 2.87631i
\(391\) −19.9205 16.7153i −1.00742 0.845327i
\(392\) −27.5864 + 2.41350i −1.39332 + 0.121900i
\(393\) 8.44140 1.35249i 0.425812 0.0682239i
\(394\) −1.57138 + 4.31732i −0.0791649 + 0.217504i
\(395\) 13.9001 + 33.0804i 0.699391 + 1.66446i
\(396\) 4.86787 + 33.7589i 0.244620 + 1.69645i
\(397\) 2.41212 9.00214i 0.121061 0.451805i −0.878608 0.477544i \(-0.841527\pi\)
0.999669 + 0.0257391i \(0.00819391\pi\)
\(398\) 10.9562 15.6471i 0.549184 0.784316i
\(399\) −1.07143 4.26471i −0.0536385 0.213503i
\(400\) 12.8923 + 18.0187i 0.644615 + 0.900937i
\(401\) −21.8705 3.85636i −1.09216 0.192578i −0.401575 0.915826i \(-0.631537\pi\)
−0.690588 + 0.723249i \(0.742648\pi\)
\(402\) −32.7574 + 11.3449i −1.63379 + 0.565834i
\(403\) −2.57111 + 29.3879i −0.128076 + 1.46391i
\(404\) 37.9830 1.88972
\(405\) −10.3040 + 17.2866i −0.512010 + 0.858979i
\(406\) −8.61413 −0.427512
\(407\) −0.333470 + 3.81158i −0.0165295 + 0.188933i
\(408\) −46.4854 + 16.0994i −2.30137 + 0.797038i
\(409\) 2.79062 + 0.492062i 0.137987 + 0.0243309i 0.242215 0.970223i \(-0.422126\pi\)
−0.104228 + 0.994553i \(0.533237\pi\)
\(410\) −0.828971 1.57283i −0.0409400 0.0776766i
\(411\) −3.91326 15.5763i −0.193027 0.768324i
\(412\) 1.61110 2.30089i 0.0793734 0.113357i
\(413\) 1.02689 3.83240i 0.0505299 0.188580i
\(414\) −32.0664 12.8223i −1.57598 0.630180i
\(415\) −3.59558 1.46793i −0.176500 0.0720580i
\(416\) −1.45119 + 3.98710i −0.0711503 + 0.195484i
\(417\) 1.13554 0.181938i 0.0556078 0.00890952i
\(418\) −13.8745 + 1.21386i −0.678626 + 0.0593720i
\(419\) −3.08697 2.59027i −0.150808 0.126543i 0.564262 0.825596i \(-0.309161\pi\)
−0.715070 + 0.699053i \(0.753605\pi\)
\(420\) 13.5144 14.4390i 0.659437 0.704551i
\(421\) −4.12343 1.50080i −0.200964 0.0731448i 0.239577 0.970877i \(-0.422991\pi\)
−0.440541 + 0.897733i \(0.645213\pi\)
\(422\) 13.6459 + 50.9271i 0.664271 + 2.47909i
\(423\) −1.11595 + 0.0624930i −0.0542591 + 0.00303852i
\(424\) 49.8028 28.7537i 2.41864 1.39640i
\(425\) 9.25149 26.2469i 0.448763 1.27316i
\(426\) −9.46355 + 33.2278i −0.458511 + 1.60989i
\(427\) 0.180198 + 0.0840279i 0.00872041 + 0.00406640i
\(428\) −33.0651 + 23.1524i −1.59826 + 1.11912i
\(429\) −2.06105 28.7348i −0.0995085 1.38733i
\(430\) 2.40889 + 49.3990i 0.116167 + 2.38223i
\(431\) 14.3108i 0.689325i 0.938727 + 0.344662i \(0.112007\pi\)
−0.938727 + 0.344662i \(0.887993\pi\)
\(432\) −18.3140 + 13.9555i −0.881132 + 0.671433i
\(433\) −10.5706 + 10.5706i −0.507988 + 0.507988i −0.913909 0.405920i \(-0.866951\pi\)
0.405920 + 0.913909i \(0.366951\pi\)
\(434\) 11.7270 9.84015i 0.562915 0.472342i
\(435\) −8.03546 + 7.20838i −0.385271 + 0.345615i
\(436\) −2.81448 + 15.9617i −0.134789 + 0.764427i
\(437\) 3.99638 8.57026i 0.191173 0.409971i
\(438\) −0.366580 + 23.4031i −0.0175159 + 1.11824i
\(439\) −23.9432 + 4.22183i −1.14275 + 0.201497i −0.712807 0.701360i \(-0.752576\pi\)
−0.429940 + 0.902857i \(0.641465\pi\)
\(440\) −19.5275 25.1822i −0.930939 1.20052i
\(441\) 13.8371 + 8.57760i 0.658908 + 0.408457i
\(442\) 78.8937 21.1395i 3.75259 1.00550i
\(443\) 2.85840 + 6.12987i 0.135807 + 0.291239i 0.962436 0.271508i \(-0.0875224\pi\)
−0.826629 + 0.562747i \(0.809745\pi\)
\(444\) −8.81813 + 3.94502i −0.418490 + 0.187222i
\(445\) 6.38551 + 28.1247i 0.302702 + 1.33324i
\(446\) 36.4773 43.4720i 1.72725 2.05846i
\(447\) 8.40750 + 3.21007i 0.397661 + 0.151831i
\(448\) −8.07923 + 3.76741i −0.381708 + 0.177993i
\(449\) −1.79424 + 3.10771i −0.0846753 + 0.146662i −0.905253 0.424873i \(-0.860319\pi\)
0.820577 + 0.571535i \(0.193652\pi\)
\(450\) 0.781283 36.9509i 0.0368300 1.74188i
\(451\) 0.450607 + 0.780474i 0.0212183 + 0.0367511i
\(452\) 42.4745 + 29.7409i 1.99783 + 1.39890i
\(453\) −7.24186 0.113434i −0.340252 0.00532961i
\(454\) −20.0278 55.0260i −0.939953 2.58250i
\(455\) −12.2579 + 11.3477i −0.574661 + 0.531988i
\(456\) −10.0300 14.8128i −0.469697 0.693672i
\(457\) 30.2131 + 2.64330i 1.41331 + 0.123648i 0.768086 0.640347i \(-0.221209\pi\)
0.645222 + 0.763995i \(0.276765\pi\)
\(458\) −26.7269 26.7269i −1.24887 1.24887i
\(459\) 27.5535 + 8.78931i 1.28609 + 0.410250i
\(460\) 42.1374 5.76593i 1.96467 0.268838i
\(461\) 25.6308 + 30.5456i 1.19375 + 1.42265i 0.881197 + 0.472750i \(0.156739\pi\)
0.312550 + 0.949901i \(0.398817\pi\)
\(462\) −9.78766 + 11.3002i −0.455363 + 0.525734i
\(463\) −9.84673 14.0626i −0.457616 0.653544i 0.522344 0.852735i \(-0.325058\pi\)
−0.979961 + 0.199191i \(0.936169\pi\)
\(464\) −11.6059 + 4.22420i −0.538790 + 0.196103i
\(465\) 2.70492 18.9924i 0.125438 0.880751i
\(466\) −5.44442 30.8768i −0.252208 1.43034i
\(467\) −17.7326 4.75144i −0.820568 0.219870i −0.175973 0.984395i \(-0.556307\pi\)
−0.644595 + 0.764525i \(0.722974\pi\)
\(468\) 60.8600 39.8336i 2.81325 1.84131i
\(469\) −8.82379 5.09442i −0.407445 0.235238i
\(470\) 1.72556 1.11170i 0.0795942 0.0512787i
\(471\) −23.6590 2.44383i −1.09015 0.112606i
\(472\) −1.40679 16.0797i −0.0647529 0.740129i
\(473\) −2.18497 24.9744i −0.100465 1.14832i
\(474\) 40.1542 55.4762i 1.84434 2.54811i
\(475\) 10.0900 + 0.779301i 0.462959 + 0.0357568i
\(476\) −24.6139 14.2109i −1.12818 0.651354i
\(477\) −33.5712 4.00002i −1.53712 0.183149i
\(478\) −12.9425 3.46794i −0.591978 0.158620i
\(479\) −4.07702 23.1219i −0.186284 1.05647i −0.924295 0.381679i \(-0.875346\pi\)
0.738011 0.674789i \(-0.235765\pi\)
\(480\) 1.08280 2.53789i 0.0494227 0.115838i
\(481\) 7.66733 2.79068i 0.349600 0.127244i
\(482\) −10.5464 15.0618i −0.480374 0.686046i
\(483\) −3.32178 9.59131i −0.151146 0.436420i
\(484\) −8.37519 9.98117i −0.380691 0.453689i
\(485\) 1.07523 + 7.85779i 0.0488238 + 0.356804i
\(486\) 38.4076 0.343924i 1.74220 0.0156007i
\(487\) 7.21511 + 7.21511i 0.326948 + 0.326948i 0.851425 0.524477i \(-0.175739\pi\)
−0.524477 + 0.851425i \(0.675739\pi\)
\(488\) 0.805800 + 0.0704984i 0.0364768 + 0.00319131i
\(489\) −15.9110 + 32.7712i −0.719521 + 1.48197i
\(490\) −29.8764 1.15204i −1.34968 0.0520438i
\(491\) −11.3506 31.1854i −0.512243 1.40738i −0.878893 0.477018i \(-0.841718\pi\)
0.366650 0.930359i \(-0.380505\pi\)
\(492\) −1.16843 + 1.95250i −0.0526769 + 0.0880257i
\(493\) 12.7079 + 8.89818i 0.572336 + 0.400754i
\(494\) 14.8505 + 25.7218i 0.668156 + 1.15728i
\(495\) 0.325970 + 18.7315i 0.0146513 + 0.841919i
\(496\) 10.9745 19.0084i 0.492770 0.853502i
\(497\) −9.20302 + 4.29144i −0.412812 + 0.192497i
\(498\) 1.17264 + 7.31892i 0.0525474 + 0.327969i
\(499\) 15.7113 18.7240i 0.703333 0.838200i −0.289566 0.957158i \(-0.593511\pi\)
0.992899 + 0.118958i \(0.0379555\pi\)
\(500\) 21.6310 + 40.0469i 0.967366 + 1.79095i
\(501\) −0.649062 + 6.28365i −0.0289980 + 0.280733i
\(502\) −5.25932 11.2786i −0.234735 0.503391i
\(503\) −37.2709 + 9.98672i −1.66183 + 0.445286i −0.962890 0.269896i \(-0.913011\pi\)
−0.698939 + 0.715181i \(0.746344\pi\)
\(504\) −18.7965 3.92502i −0.837265 0.174834i
\(505\) 20.6978 + 2.61777i 0.921040 + 0.116489i
\(506\) −31.6608 + 5.58265i −1.40749 + 0.248179i
\(507\) −34.0054 + 18.9292i −1.51023 + 0.840674i
\(508\) −2.55820 + 5.48608i −0.113502 + 0.243405i
\(509\) −0.294649 + 1.67104i −0.0130601 + 0.0740674i −0.990641 0.136492i \(-0.956417\pi\)
0.977581 + 0.210559i \(0.0675284\pi\)
\(510\) −51.9743 + 10.9474i −2.30146 + 0.484757i
\(511\) −5.26985 + 4.42193i −0.233124 + 0.195615i
\(512\) −29.7458 + 29.7458i −1.31459 + 1.31459i
\(513\) −0.493984 + 10.5054i −0.0218099 + 0.463825i
\(514\) 65.7653i 2.90078i
\(515\) 1.03650 1.14277i 0.0456738 0.0503567i
\(516\) 52.4120 35.4891i 2.30731 1.56232i
\(517\) −0.852312 + 0.596795i −0.0374846 + 0.0262470i
\(518\) −3.83746 1.78944i −0.168608 0.0786234i
\(519\) −9.87603 10.1903i −0.433509 0.447306i
\(520\) −31.0714 + 60.4371i −1.36257 + 2.65034i
\(521\) 22.9824 13.2689i 1.00688 0.581322i 0.0966024 0.995323i \(-0.469202\pi\)
0.910276 + 0.414001i \(0.135869\pi\)
\(522\) 19.7239 + 5.95304i 0.863292 + 0.260557i
\(523\) −3.93354 14.6802i −0.172002 0.641920i −0.997043 0.0768469i \(-0.975515\pi\)
0.825041 0.565073i \(-0.191152\pi\)
\(524\) 18.8820 + 6.87247i 0.824863 + 0.300225i
\(525\) 8.35946 6.93674i 0.364837 0.302744i
\(526\) 49.4526 + 41.4957i 2.15624 + 1.80930i
\(527\) −27.4648 + 2.40286i −1.19639 + 0.104670i
\(528\) −7.64559 + 20.0245i −0.332731 + 0.871457i
\(529\) −0.400836 + 1.10129i −0.0174277 + 0.0478821i
\(530\) 57.2421 24.0527i 2.48644 1.04478i
\(531\) −4.99977 + 8.06544i −0.216971 + 0.350010i
\(532\) 2.67497 9.98314i 0.115975 0.432824i
\(533\) 1.10234 1.57431i 0.0477478 0.0681909i
\(534\) 39.5267 38.3075i 1.71049 1.65773i
\(535\) −19.6136 + 10.3375i −0.847970 + 0.446928i
\(536\) −40.8210 7.19784i −1.76320 0.310900i
\(537\) 2.01465 10.4645i 0.0869387 0.451577i
\(538\) 0.494458 5.65168i 0.0213176 0.243661i
\(539\) 15.1554 0.652788
\(540\) −40.9227 + 23.7217i −1.76103 + 1.02082i
\(541\) 6.56072 0.282068 0.141034 0.990005i \(-0.454957\pi\)
0.141034 + 0.990005i \(0.454957\pi\)
\(542\) 1.31440 15.0236i 0.0564582 0.645320i
\(543\) 12.4463 + 10.7804i 0.534124 + 0.462630i
\(544\) −3.90510 0.688574i −0.167430 0.0295224i
\(545\) −2.63375 + 8.50393i −0.112817 + 0.364268i
\(546\) 30.6615 + 8.73265i 1.31219 + 0.373723i
\(547\) −20.6319 + 29.4654i −0.882156 + 1.25985i 0.0825680 + 0.996585i \(0.473688\pi\)
−0.964724 + 0.263264i \(0.915201\pi\)
\(548\) 9.77001 36.4622i 0.417354 1.55759i
\(549\) −0.354533 0.316931i −0.0151311 0.0135263i
\(550\) −17.5055 29.6197i −0.746438 1.26299i
\(551\) −1.92945 + 5.30113i −0.0821975 + 0.225836i
\(552\) −26.0444 32.0447i −1.10852 1.36391i
\(553\) 20.0515 1.75428i 0.852675 0.0745994i
\(554\) 19.9852 + 16.7696i 0.849089 + 0.712470i
\(555\) −5.07709 + 1.54199i −0.215511 + 0.0654540i
\(556\) 2.54002 + 0.924490i 0.107721 + 0.0392071i
\(557\) −1.17275 4.37675i −0.0496908 0.185449i 0.936620 0.350348i \(-0.113937\pi\)
−0.986310 + 0.164899i \(0.947270\pi\)
\(558\) −33.6519 + 14.4268i −1.42460 + 0.610737i
\(559\) −46.2997 + 26.7312i −1.95827 + 1.13061i
\(560\) 11.8340 3.79759i 0.500076 0.160477i
\(561\) 26.1120 6.56015i 1.10245 0.276970i
\(562\) 13.5783 + 6.33165i 0.572765 + 0.267085i
\(563\) 2.17564 1.52340i 0.0916924 0.0642037i −0.526831 0.849970i \(-0.676620\pi\)
0.618524 + 0.785766i \(0.287731\pi\)
\(564\) −2.36322 1.14739i −0.0995097 0.0483137i
\(565\) 21.0956 + 19.1338i 0.887498 + 0.804967i
\(566\) 8.82639i 0.371001i
\(567\) 7.46702 + 8.46656i 0.313585 + 0.355562i
\(568\) −29.2111 + 29.2111i −1.22567 + 1.22567i
\(569\) −22.4581 + 18.8446i −0.941494 + 0.790007i −0.977845 0.209332i \(-0.932871\pi\)
0.0363507 + 0.999339i \(0.488427\pi\)
\(570\) −8.73694 17.2256i −0.365950 0.721503i
\(571\) −2.73020 + 15.4837i −0.114255 + 0.647973i 0.872861 + 0.487969i \(0.162262\pi\)
−0.987116 + 0.160004i \(0.948849\pi\)
\(572\) 28.6163 61.3679i 1.19651 2.56592i
\(573\) −20.1538 12.0606i −0.841938 0.503837i
\(574\) −0.982170 + 0.173183i −0.0409950 + 0.00722852i
\(575\) 23.3590 0.237901i 0.974139 0.00992115i
\(576\) 21.1027 3.04291i 0.879280 0.126788i
\(577\) −26.2315 + 7.02870i −1.09203 + 0.292609i −0.759515 0.650489i \(-0.774564\pi\)
−0.332515 + 0.943098i \(0.607897\pi\)
\(578\) 14.5571 + 31.2178i 0.605496 + 1.29849i
\(579\) 24.5324 + 17.7568i 1.01953 + 0.737947i
\(580\) −24.7426 + 5.61765i −1.02738 + 0.233260i
\(581\) −1.40035 + 1.66887i −0.0580961 + 0.0692363i
\(582\) 11.7465 9.54698i 0.486907 0.395735i
\(583\) −28.5243 + 13.3011i −1.18136 + 0.550875i
\(584\) −13.9934 + 24.2372i −0.579049 + 1.00294i
\(585\) 35.9093 17.5118i 1.48467 0.724024i
\(586\) −32.8581 56.9118i −1.35735 2.35101i
\(587\) 0.298326 + 0.208890i 0.0123132 + 0.00862180i 0.579717 0.814818i \(-0.303163\pi\)
−0.567404 + 0.823440i \(0.692052\pi\)
\(588\) 18.6110 + 33.4338i 0.767505 + 1.37879i
\(589\) −3.42892 9.42087i −0.141286 0.388180i
\(590\) 0.671508 17.4145i 0.0276456 0.716945i
\(591\) 3.22140 0.231060i 0.132511 0.00950454i
\(592\) −6.04775 0.529109i −0.248561 0.0217463i
\(593\) 5.77411 + 5.77411i 0.237114 + 0.237114i 0.815654 0.578540i \(-0.196377\pi\)
−0.578540 + 0.815654i \(0.696377\pi\)
\(594\) 30.2203 19.1103i 1.23995 0.784104i
\(595\) −12.4333 9.44021i −0.509715 0.387011i
\(596\) 13.5965 + 16.2037i 0.556936 + 0.663730i
\(597\) −13.1855 2.53850i −0.539645 0.103894i
\(598\) 39.3241 + 56.1607i 1.60808 + 2.29658i
\(599\) 22.4110 8.15692i 0.915687 0.333283i 0.159166 0.987252i \(-0.449120\pi\)
0.756521 + 0.653969i \(0.226897\pi\)
\(600\) 22.3055 38.1501i 0.910618 1.55747i
\(601\) −0.792095 4.49219i −0.0323102 0.183240i 0.964381 0.264515i \(-0.0852120\pi\)
−0.996692 + 0.0812748i \(0.974101\pi\)
\(602\) 26.7979 + 7.18049i 1.09220 + 0.292655i
\(603\) 16.6833 + 17.7627i 0.679398 + 0.723353i
\(604\) −14.7427 8.51171i −0.599872 0.346336i
\(605\) −3.87594 6.01618i −0.157579 0.244593i
\(606\) −16.2605 36.3463i −0.660536 1.47647i
\(607\) −3.54176 40.4825i −0.143756 1.64313i −0.635289 0.772275i \(-0.719119\pi\)
0.491533 0.870859i \(-0.336437\pi\)
\(608\) −0.125675 1.43647i −0.00509680 0.0582566i
\(609\) 2.47285 + 5.52744i 0.100205 + 0.223983i
\(610\) 0.853589 + 0.184681i 0.0345608 + 0.00747751i
\(611\) 1.92160 + 1.10943i 0.0777394 + 0.0448829i
\(612\) 46.5381 + 49.5490i 1.88119 + 2.00290i
\(613\) 21.4349 + 5.74347i 0.865749 + 0.231977i 0.664249 0.747512i \(-0.268752\pi\)
0.201500 + 0.979488i \(0.435418\pi\)
\(614\) 5.59463 + 31.7288i 0.225781 + 1.28047i
\(615\) −0.771270 + 0.983438i −0.0311006 + 0.0396560i
\(616\) −16.7974 + 6.11376i −0.676788 + 0.246331i
\(617\) −7.45148 10.6418i −0.299985 0.428423i 0.640655 0.767829i \(-0.278663\pi\)
−0.940640 + 0.339406i \(0.889774\pi\)
\(618\) −2.89146 0.556671i −0.116312 0.0223926i
\(619\) 7.80404 + 9.30049i 0.313671 + 0.373818i 0.899728 0.436452i \(-0.143765\pi\)
−0.586057 + 0.810270i \(0.699321\pi\)
\(620\) 27.2667 35.9119i 1.09506 1.44225i
\(621\) 0.977581 + 24.2570i 0.0392290 + 0.973399i
\(622\) 19.0207 + 19.0207i 0.762661 + 0.762661i
\(623\) 16.1165 + 1.41001i 0.645693 + 0.0564908i
\(624\) 45.5928 3.27022i 1.82517 0.130914i
\(625\) 9.02720 + 23.3133i 0.361088 + 0.932532i
\(626\) 4.04832 + 11.1227i 0.161804 + 0.444552i
\(627\) 4.76184 + 8.55443i 0.190170 + 0.341631i
\(628\) −45.7939 32.0653i −1.82738 1.27954i
\(629\) 3.81274 + 6.60386i 0.152024 + 0.263313i
\(630\) −19.6023 6.75079i −0.780976 0.268958i
\(631\) 11.6365 20.1551i 0.463243 0.802360i −0.535877 0.844296i \(-0.680019\pi\)
0.999120 + 0.0419354i \(0.0133524\pi\)
\(632\) 74.2139 34.6065i 2.95207 1.37657i
\(633\) 28.7612 23.3757i 1.14315 0.929102i
\(634\) −50.0581 + 59.6569i −1.98806 + 2.36928i
\(635\) −1.77212 + 2.81318i −0.0703244 + 0.111638i
\(636\) −64.3714 46.5926i −2.55249 1.84752i
\(637\) −13.6588 29.2913i −0.541181 1.16057i
\(638\) 18.5259 4.96400i 0.733447 0.196526i
\(639\) 24.0380 3.46617i 0.950929 0.137119i
\(640\) −33.4608 + 25.9471i −1.32265 + 1.02565i
\(641\) −36.8613 + 6.49963i −1.45593 + 0.256720i −0.844916 0.534898i \(-0.820350\pi\)
−0.611016 + 0.791618i \(0.709239\pi\)
\(642\) 36.3099 + 21.7288i 1.43304 + 0.857567i
\(643\) 13.7719 29.5339i 0.543110 1.16470i −0.422895 0.906179i \(-0.638986\pi\)
0.966005 0.258524i \(-0.0832361\pi\)
\(644\) 4.14276 23.4948i 0.163248 0.925823i
\(645\) 31.0064 15.7266i 1.22088 0.619235i
\(646\) −21.2635 + 17.8422i −0.836600 + 0.701991i
\(647\) −25.9188 + 25.9188i −1.01897 + 1.01897i −0.0191583 + 0.999816i \(0.506099\pi\)
−0.999816 + 0.0191583i \(0.993901\pi\)
\(648\) 40.3263 + 21.9771i 1.58417 + 0.863340i
\(649\) 8.83386i 0.346759i
\(650\) −41.4702 + 60.5283i −1.62659 + 2.37412i
\(651\) −9.68060 4.70010i −0.379413 0.184212i
\(652\) −70.1394 + 49.1121i −2.74687 + 1.92338i
\(653\) 31.3994 + 14.6418i 1.22875 + 0.572978i 0.925071 0.379795i \(-0.124006\pi\)
0.303684 + 0.952773i \(0.401783\pi\)
\(654\) 16.4788 4.13998i 0.644372 0.161886i
\(655\) 9.81557 + 5.04631i 0.383526 + 0.197175i
\(656\) −1.23836 + 0.714967i −0.0483498 + 0.0279148i
\(657\) 15.1224 6.48308i 0.589979 0.252929i
\(658\) −0.298015 1.11221i −0.0116178 0.0433583i
\(659\) 14.1890 + 5.16436i 0.552723 + 0.201175i 0.603256 0.797548i \(-0.293870\pi\)
−0.0505327 + 0.998722i \(0.516092\pi\)
\(660\) −20.7440 + 38.8409i −0.807461 + 1.51188i
\(661\) 26.1426 + 21.9363i 1.01683 + 0.853222i 0.989226 0.146397i \(-0.0467677\pi\)
0.0276043 + 0.999619i \(0.491212\pi\)
\(662\) −68.7915 + 6.01847i −2.67366 + 0.233915i
\(663\) −36.2125 44.5553i −1.40638 1.73039i
\(664\) −3.03129 + 8.32839i −0.117637 + 0.323204i
\(665\) 2.14569 5.25568i 0.0832062 0.203807i
\(666\) 7.55006 + 6.74929i 0.292559 + 0.261530i
\(667\) −3.37035 + 12.5783i −0.130501 + 0.487035i
\(668\) −8.51630 + 12.1625i −0.329505 + 0.470582i
\(669\) −38.3662 10.9270i −1.48332 0.422463i
\(670\) −42.7506 13.2403i −1.65160 0.511516i
\(671\) −0.435964 0.0768722i −0.0168302 0.00296762i
\(672\) −1.16995 1.01335i −0.0451317 0.0390907i
\(673\) 3.93526 44.9802i 0.151693 1.73386i −0.414905 0.909865i \(-0.636185\pi\)
0.566598 0.823995i \(-0.308259\pi\)
\(674\) −88.8183 −3.42115
\(675\) −23.9346 + 10.1061i −0.921244 + 0.388985i
\(676\) −91.4752 −3.51828
\(677\) −1.38136 + 15.7890i −0.0530900 + 0.606822i 0.922321 + 0.386426i \(0.126290\pi\)
−0.975411 + 0.220396i \(0.929265\pi\)
\(678\) 10.2761 53.3763i 0.394652 2.04990i
\(679\) 4.38131 + 0.772543i 0.168139 + 0.0296475i
\(680\) −60.6666 18.7890i −2.32646 0.720526i
\(681\) −29.5593 + 28.6475i −1.13271 + 1.09778i
\(682\) −19.5501 + 27.9204i −0.748612 + 1.06913i
\(683\) −1.88306 + 7.02767i −0.0720532 + 0.268906i −0.992549 0.121846i \(-0.961119\pi\)
0.920496 + 0.390753i \(0.127785\pi\)
\(684\) −13.0241 + 21.0099i −0.497987 + 0.803335i
\(685\) 7.83686 19.1957i 0.299431 0.733431i
\(686\) −13.1355 + 36.0895i −0.501515 + 1.37790i
\(687\) −9.47743 + 24.8223i −0.361587 + 0.947031i
\(688\) 39.6262 3.46685i 1.51074 0.132172i
\(689\) 51.4151 + 43.1424i 1.95876 + 1.64359i
\(690\) −23.5564 37.8533i −0.896778 1.44105i
\(691\) 42.1583 + 15.3444i 1.60378 + 0.583728i 0.980196 0.198030i \(-0.0634544\pi\)
0.623582 + 0.781758i \(0.285677\pi\)
\(692\) −8.63269 32.2177i −0.328166 1.22473i
\(693\) 10.0608 + 3.03652i 0.382177 + 0.115348i
\(694\) 34.3061 19.8066i 1.30224 0.751849i
\(695\) 1.32040 + 0.678833i 0.0500855 + 0.0257496i
\(696\) 17.1445 + 17.6901i 0.649859 + 0.670542i
\(697\) 1.62783 + 0.759071i 0.0616585 + 0.0287519i
\(698\) 11.4901 8.04544i 0.434906 0.304525i
\(699\) −18.2499 + 12.3573i −0.690273 + 0.467396i
\(700\) 25.0975 4.68940i 0.948597 0.177242i
\(701\) 23.7146i 0.895688i −0.894112 0.447844i \(-0.852192\pi\)
0.894112 0.447844i \(-0.147808\pi\)
\(702\) −64.1712 41.1848i −2.42199 1.55442i
\(703\) −1.96076 + 1.96076i −0.0739516 + 0.0739516i
\(704\) 15.2045 12.7581i 0.573041 0.480839i
\(705\) −1.20870 0.788110i −0.0455222 0.0296819i
\(706\) 6.00324 34.0461i 0.225935 1.28134i
\(707\) 4.94586 10.6064i 0.186008 0.398896i
\(708\) −19.4881 + 10.8481i −0.732408 + 0.407697i
\(709\) 35.6845 6.29214i 1.34016 0.236306i 0.542826 0.839845i \(-0.317354\pi\)
0.797334 + 0.603539i \(0.206243\pi\)
\(710\) −35.2471 + 27.3323i −1.32280 + 1.02576i
\(711\) −47.1245 9.84034i −1.76731 0.369042i
\(712\) 63.5736 17.0345i 2.38252 0.638395i
\(713\) −9.78025 20.9738i −0.366273 0.785476i
\(714\) −3.06132 + 29.6370i −0.114567 + 1.10914i
\(715\) 19.8231 31.4686i 0.741343 1.17686i
\(716\) 16.1002 19.1875i 0.601694 0.717071i
\(717\) 1.49012 + 9.30039i 0.0556494 + 0.347329i
\(718\) 15.4026 7.18233i 0.574818 0.268042i
\(719\) 3.82026 6.61689i 0.142472 0.246768i −0.785955 0.618284i \(-0.787828\pi\)
0.928427 + 0.371515i \(0.121162\pi\)
\(720\) −29.7208 + 0.517209i −1.10763 + 0.0192752i
\(721\) −0.432720 0.749493i −0.0161153 0.0279126i
\(722\) 30.0802 + 21.0624i 1.11947 + 0.783862i
\(723\) −6.63718 + 11.0911i −0.246840 + 0.412481i
\(724\) 13.2368 + 36.3677i 0.491941 + 1.35160i
\(725\) −13.8700 + 1.35594i −0.515119 + 0.0503582i
\(726\) −5.96567 + 12.2872i −0.221407 + 0.456022i
\(727\) −46.8579 4.09954i −1.73786 0.152043i −0.826308 0.563218i \(-0.809563\pi\)
−0.911557 + 0.411175i \(0.865119\pi\)
\(728\) 26.9550 + 26.9550i 0.999018 + 0.999018i
\(729\) −11.2463 24.5463i −0.416529 0.909122i
\(730\) −18.2726 + 24.0661i −0.676301 + 0.890727i
\(731\) −32.1162 38.2746i −1.18786 1.41564i
\(732\) −0.365784 1.05617i −0.0135198 0.0390371i
\(733\) −26.9842 38.5374i −0.996682 1.42341i −0.903910 0.427723i \(-0.859316\pi\)
−0.0927724 0.995687i \(-0.529573\pi\)
\(734\) −8.25389 + 3.00417i −0.304657 + 0.110886i
\(735\) 7.83733 + 19.5015i 0.289084 + 0.719324i
\(736\) −0.577989 3.27794i −0.0213050 0.120826i
\(737\) 21.9125 + 5.87144i 0.807157 + 0.216277i
\(738\) 2.36857 + 0.282217i 0.0871884 + 0.0103885i
\(739\) 40.7581 + 23.5317i 1.49931 + 0.865628i 1.00000 0.000795196i \(-0.000253119\pi\)
0.499311 + 0.866423i \(0.333586\pi\)
\(740\) −12.1894 2.63729i −0.448093 0.0969486i
\(741\) 12.2419 16.9131i 0.449716 0.621317i
\(742\) −3.03559 34.6969i −0.111440 1.27376i
\(743\) 0.522540 + 5.97266i 0.0191701 + 0.219115i 0.999737 + 0.0229307i \(0.00729969\pi\)
−0.980567 + 0.196185i \(0.937145\pi\)
\(744\) −43.5478 4.49823i −1.59654 0.164913i
\(745\) 6.29231 + 9.76685i 0.230533 + 0.357830i
\(746\) 26.2588 + 15.1605i 0.961402 + 0.555066i
\(747\) 4.35971 2.85348i 0.159514 0.104403i
\(748\) 61.1248 + 16.3784i 2.23495 + 0.598852i
\(749\) 2.15964 + 12.2479i 0.0789114 + 0.447529i
\(750\) 29.0611 37.8429i 1.06116 1.38183i
\(751\) 30.7152 11.1794i 1.12081 0.407943i 0.285865 0.958270i \(-0.407719\pi\)
0.834949 + 0.550327i \(0.185497\pi\)
\(752\) −0.946921 1.35234i −0.0345306 0.0493149i
\(753\) −5.72740 + 6.61250i −0.208718 + 0.240973i
\(754\) −26.2906 31.3319i −0.957446 1.14104i
\(755\) −7.44702 5.65429i −0.271025 0.205781i
\(756\) 5.65598 + 25.9236i 0.205706 + 0.942834i
\(757\) −6.11549 6.11549i −0.222271 0.222271i 0.587183 0.809454i \(-0.300237\pi\)
−0.809454 + 0.587183i \(0.800237\pi\)
\(758\) 39.2721 + 3.43586i 1.42643 + 0.124796i
\(759\) 12.6711 + 18.7132i 0.459930 + 0.679247i
\(760\) 0.889875 23.0775i 0.0322792 0.837110i
\(761\) −8.81390 24.2160i −0.319503 0.877829i −0.990641 0.136495i \(-0.956416\pi\)
0.671137 0.741333i \(-0.265806\pi\)
\(762\) 6.34484 + 0.0993837i 0.229849 + 0.00360029i
\(763\) 4.09070 + 2.86434i 0.148093 + 0.103696i
\(764\) −27.6019 47.8078i −0.998601 1.72963i
\(765\) 21.9448 + 30.2078i 0.793416 + 1.09216i
\(766\) 30.7442 53.2505i 1.11083 1.92402i
\(767\) 17.0735 7.96152i 0.616490 0.287474i
\(768\) 52.4974 + 20.0441i 1.89434 + 0.723278i
\(769\) −17.3950 + 20.7306i −0.627281 + 0.747565i −0.982304 0.187293i \(-0.940029\pi\)
0.355023 + 0.934858i \(0.384473\pi\)
\(770\) −18.8210 + 4.27317i −0.678261 + 0.153994i
\(771\) &