Properties

Label 168.2.ba.c.101.14
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.14
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.174432 - 1.40341i) q^{2} +(0.618109 - 1.61801i) q^{3} +(-1.93915 - 0.489600i) q^{4} +(-2.46958 + 1.42581i) q^{5} +(-2.16291 - 1.14970i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(-1.02536 + 2.63603i) q^{8} +(-2.23588 - 2.00021i) q^{9} +O(q^{10})\) \(q+(0.174432 - 1.40341i) q^{2} +(0.618109 - 1.61801i) q^{3} +(-1.93915 - 0.489600i) q^{4} +(-2.46958 + 1.42581i) q^{5} +(-2.16291 - 1.14970i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(-1.02536 + 2.63603i) q^{8} +(-2.23588 - 2.00021i) q^{9} +(1.57023 + 3.71455i) q^{10} +(2.42621 - 4.20231i) q^{11} +(-1.99078 + 2.83492i) q^{12} +2.75221 q^{13} +(-3.60385 + 1.00612i) q^{14} +(0.780502 + 4.87710i) q^{15} +(3.52058 + 1.89881i) q^{16} +(1.75366 - 3.03743i) q^{17} +(-3.19713 + 2.78897i) q^{18} +(3.14493 + 5.44717i) q^{19} +(5.48696 - 1.55575i) q^{20} +(-4.58037 + 0.142013i) q^{21} +(-5.47438 - 4.13799i) q^{22} +(3.15865 - 1.82365i) q^{23} +(3.63132 + 3.28839i) q^{24} +(1.56588 - 2.71219i) q^{25} +(0.480073 - 3.86249i) q^{26} +(-4.61837 + 2.38132i) q^{27} +(0.783383 + 5.23319i) q^{28} -3.90427 q^{29} +(6.98074 - 0.244647i) q^{30} +(-0.858051 - 0.495396i) q^{31} +(3.27893 - 4.60963i) q^{32} +(-5.29970 - 6.52310i) q^{33} +(-3.95689 - 2.99094i) q^{34} +(6.00030 + 4.57370i) q^{35} +(3.35640 + 4.97339i) q^{36} +(1.06516 - 0.614970i) q^{37} +(8.19322 - 3.46348i) q^{38} +(1.70117 - 4.45309i) q^{39} +(-1.22627 - 7.97185i) q^{40} -2.10659 q^{41} +(-0.599659 + 6.45294i) q^{42} -5.11768i q^{43} +(-6.76223 + 6.96103i) q^{44} +(8.37361 + 1.75172i) q^{45} +(-2.00837 - 4.75100i) q^{46} +(5.61268 + 9.72145i) q^{47} +(5.24840 - 4.52265i) q^{48} +(-4.91791 + 4.98138i) q^{49} +(-3.53319 - 2.67068i) q^{50} +(-3.83063 - 4.71490i) q^{51} +(-5.33694 - 1.34748i) q^{52} +(1.00417 - 1.73927i) q^{53} +(2.53639 + 6.89686i) q^{54} +13.8373i q^{55} +(7.48099 - 0.186576i) q^{56} +(10.7575 - 1.72156i) q^{57} +(-0.681029 + 5.47932i) q^{58} +(0.890996 + 0.514417i) q^{59} +(0.874321 - 9.83955i) q^{60} +(1.24347 + 2.15376i) q^{61} +(-0.844918 + 1.11779i) q^{62} +(-2.60139 + 7.49885i) q^{63} +(-5.89727 - 5.40576i) q^{64} +(-6.79681 + 3.92414i) q^{65} +(-10.0791 + 6.29985i) q^{66} +(5.02777 + 2.90279i) q^{67} +(-4.88774 + 5.03144i) q^{68} +(-0.998281 - 6.23793i) q^{69} +(7.46545 - 7.62311i) q^{70} -9.75277i q^{71} +(7.56519 - 3.84291i) q^{72} +(0.291019 + 0.168020i) q^{73} +(-0.677260 - 1.60213i) q^{74} +(-3.42045 - 4.21004i) q^{75} +(-3.43154 - 12.1026i) q^{76} +(-12.7338 - 1.63491i) q^{77} +(-5.95280 - 3.16420i) q^{78} +(-2.80082 - 4.85116i) q^{79} +(-11.4017 + 0.330420i) q^{80} +(0.998337 + 8.94446i) q^{81} +(-0.367457 + 2.95643i) q^{82} -0.138115i q^{83} +(8.95155 + 1.96717i) q^{84} +10.0016i q^{85} +(-7.18223 - 0.892686i) q^{86} +(-2.41327 + 6.31714i) q^{87} +(8.58967 + 10.7044i) q^{88} +(0.580993 + 1.00631i) q^{89} +(3.91902 - 11.4461i) q^{90} +(-2.80813 - 6.71841i) q^{91} +(-7.01795 + 1.98985i) q^{92} +(-1.33192 + 1.08212i) q^{93} +(14.6223 - 6.18119i) q^{94} +(-15.5333 - 8.96815i) q^{95} +(-5.43167 - 8.15457i) q^{96} +11.0953i q^{97} +(6.13311 + 7.77078i) q^{98} +(-13.8302 + 4.54296i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.174432 1.40341i 0.123342 0.992364i
\(3\) 0.618109 1.61801i 0.356866 0.934156i
\(4\) −1.93915 0.489600i −0.969574 0.244800i
\(5\) −2.46958 + 1.42581i −1.10443 + 0.637643i −0.937381 0.348306i \(-0.886757\pi\)
−0.167049 + 0.985949i \(0.553424\pi\)
\(6\) −2.16291 1.14970i −0.883006 0.469361i
\(7\) −1.02032 2.44110i −0.385643 0.922648i
\(8\) −1.02536 + 2.63603i −0.362520 + 0.931976i
\(9\) −2.23588 2.00021i −0.745294 0.666736i
\(10\) 1.57023 + 3.71455i 0.496552 + 1.17464i
\(11\) 2.42621 4.20231i 0.731529 1.26705i −0.224701 0.974428i \(-0.572140\pi\)
0.956230 0.292617i \(-0.0945262\pi\)
\(12\) −1.99078 + 2.83492i −0.574689 + 0.818372i
\(13\) 2.75221 0.763326 0.381663 0.924302i \(-0.375351\pi\)
0.381663 + 0.924302i \(0.375351\pi\)
\(14\) −3.60385 + 1.00612i −0.963169 + 0.268898i
\(15\) 0.780502 + 4.87710i 0.201525 + 1.25926i
\(16\) 3.52058 + 1.89881i 0.880146 + 0.474703i
\(17\) 1.75366 3.03743i 0.425326 0.736686i −0.571125 0.820863i \(-0.693493\pi\)
0.996451 + 0.0841773i \(0.0268262\pi\)
\(18\) −3.19713 + 2.78897i −0.753571 + 0.657367i
\(19\) 3.14493 + 5.44717i 0.721496 + 1.24967i 0.960400 + 0.278624i \(0.0898784\pi\)
−0.238905 + 0.971043i \(0.576788\pi\)
\(20\) 5.48696 1.55575i 1.22692 0.347877i
\(21\) −4.58037 + 0.142013i −0.999520 + 0.0309899i
\(22\) −5.47438 4.13799i −1.16714 0.882223i
\(23\) 3.15865 1.82365i 0.658624 0.380257i −0.133128 0.991099i \(-0.542502\pi\)
0.791753 + 0.610842i \(0.209169\pi\)
\(24\) 3.63132 + 3.28839i 0.741240 + 0.671240i
\(25\) 1.56588 2.71219i 0.313177 0.542438i
\(26\) 0.480073 3.86249i 0.0941501 0.757498i
\(27\) −4.61837 + 2.38132i −0.888805 + 0.458286i
\(28\) 0.783383 + 5.23319i 0.148045 + 0.988981i
\(29\) −3.90427 −0.725005 −0.362503 0.931983i \(-0.618078\pi\)
−0.362503 + 0.931983i \(0.618078\pi\)
\(30\) 6.98074 0.244647i 1.27450 0.0446663i
\(31\) −0.858051 0.495396i −0.154111 0.0889758i 0.420962 0.907078i \(-0.361693\pi\)
−0.575072 + 0.818103i \(0.695026\pi\)
\(32\) 3.27893 4.60963i 0.579638 0.814874i
\(33\) −5.29970 6.52310i −0.922560 1.13553i
\(34\) −3.95689 2.99094i −0.678600 0.512942i
\(35\) 6.00030 + 4.57370i 1.01424 + 0.773097i
\(36\) 3.35640 + 4.97339i 0.559400 + 0.828898i
\(37\) 1.06516 0.614970i 0.175111 0.101100i −0.409883 0.912138i \(-0.634430\pi\)
0.584994 + 0.811038i \(0.301097\pi\)
\(38\) 8.19322 3.46348i 1.32912 0.561850i
\(39\) 1.70117 4.45309i 0.272405 0.713065i
\(40\) −1.22627 7.97185i −0.193890 1.26046i
\(41\) −2.10659 −0.328995 −0.164497 0.986378i \(-0.552600\pi\)
−0.164497 + 0.986378i \(0.552600\pi\)
\(42\) −0.599659 + 6.45294i −0.0925294 + 0.995710i
\(43\) 5.11768i 0.780439i −0.920722 0.390220i \(-0.872399\pi\)
0.920722 0.390220i \(-0.127601\pi\)
\(44\) −6.76223 + 6.96103i −1.01944 + 1.04942i
\(45\) 8.37361 + 1.75172i 1.24826 + 0.261132i
\(46\) −2.00837 4.75100i −0.296117 0.700497i
\(47\) 5.61268 + 9.72145i 0.818693 + 1.41802i 0.906645 + 0.421894i \(0.138635\pi\)
−0.0879518 + 0.996125i \(0.528032\pi\)
\(48\) 5.24840 4.52265i 0.757541 0.652788i
\(49\) −4.91791 + 4.98138i −0.702558 + 0.711626i
\(50\) −3.53319 2.67068i −0.499668 0.377691i
\(51\) −3.83063 4.71490i −0.536395 0.660218i
\(52\) −5.33694 1.34748i −0.740101 0.186862i
\(53\) 1.00417 1.73927i 0.137933 0.238907i −0.788781 0.614674i \(-0.789288\pi\)
0.926714 + 0.375767i \(0.122621\pi\)
\(54\) 2.53639 + 6.89686i 0.345159 + 0.938544i
\(55\) 13.8373i 1.86582i
\(56\) 7.48099 0.186576i 0.999689 0.0249323i
\(57\) 10.7575 1.72156i 1.42486 0.228026i
\(58\) −0.681029 + 5.47932i −0.0894235 + 0.719469i
\(59\) 0.890996 + 0.514417i 0.115998 + 0.0669714i 0.556876 0.830595i \(-0.312000\pi\)
−0.440879 + 0.897567i \(0.645333\pi\)
\(60\) 0.874321 9.83955i 0.112874 1.27028i
\(61\) 1.24347 + 2.15376i 0.159211 + 0.275761i 0.934584 0.355742i \(-0.115772\pi\)
−0.775374 + 0.631503i \(0.782438\pi\)
\(62\) −0.844918 + 1.11779i −0.107305 + 0.141959i
\(63\) −2.60139 + 7.49885i −0.327745 + 0.944766i
\(64\) −5.89727 5.40576i −0.737159 0.675720i
\(65\) −6.79681 + 3.92414i −0.843040 + 0.486729i
\(66\) −10.0791 + 6.29985i −1.24065 + 0.775458i
\(67\) 5.02777 + 2.90279i 0.614240 + 0.354632i 0.774623 0.632423i \(-0.217940\pi\)
−0.160383 + 0.987055i \(0.551273\pi\)
\(68\) −4.88774 + 5.03144i −0.592725 + 0.610151i
\(69\) −0.998281 6.23793i −0.120179 0.750958i
\(70\) 7.46545 7.62311i 0.892292 0.911136i
\(71\) 9.75277i 1.15744i −0.815526 0.578720i \(-0.803552\pi\)
0.815526 0.578720i \(-0.196448\pi\)
\(72\) 7.56519 3.84291i 0.891566 0.452891i
\(73\) 0.291019 + 0.168020i 0.0340612 + 0.0196652i 0.516934 0.856025i \(-0.327073\pi\)
−0.482873 + 0.875691i \(0.660407\pi\)
\(74\) −0.677260 1.60213i −0.0787299 0.186244i
\(75\) −3.42045 4.21004i −0.394960 0.486133i
\(76\) −3.43154 12.1026i −0.393624 1.38827i
\(77\) −12.7338 1.63491i −1.45115 0.186316i
\(78\) −5.95280 3.16420i −0.674022 0.358276i
\(79\) −2.80082 4.85116i −0.315117 0.545798i 0.664346 0.747426i \(-0.268710\pi\)
−0.979462 + 0.201627i \(0.935377\pi\)
\(80\) −11.4017 + 0.330420i −1.27475 + 0.0369421i
\(81\) 0.998337 + 8.94446i 0.110926 + 0.993829i
\(82\) −0.367457 + 2.95643i −0.0405788 + 0.326483i
\(83\) 0.138115i 0.0151600i −0.999971 0.00758002i \(-0.997587\pi\)
0.999971 0.00758002i \(-0.00241282\pi\)
\(84\) 8.95155 + 1.96717i 0.976694 + 0.214636i
\(85\) 10.0016i 1.08482i
\(86\) −7.18223 0.892686i −0.774480 0.0962609i
\(87\) −2.41327 + 6.31714i −0.258729 + 0.677268i
\(88\) 8.58967 + 10.7044i 0.915662 + 1.14110i
\(89\) 0.580993 + 1.00631i 0.0615852 + 0.106669i 0.895174 0.445717i \(-0.147051\pi\)
−0.833589 + 0.552385i \(0.813718\pi\)
\(90\) 3.91902 11.4461i 0.413101 1.20652i
\(91\) −2.80813 6.71841i −0.294372 0.704281i
\(92\) −7.01795 + 1.98985i −0.731671 + 0.207456i
\(93\) −1.33192 + 1.08212i −0.138114 + 0.112211i
\(94\) 14.6223 6.18119i 1.50817 0.637541i
\(95\) −15.5333 8.96815i −1.59368 0.920113i
\(96\) −5.43167 8.15457i −0.554367 0.832272i
\(97\) 11.0953i 1.12656i 0.826266 + 0.563280i \(0.190461\pi\)
−0.826266 + 0.563280i \(0.809539\pi\)
\(98\) 6.13311 + 7.77078i 0.619538 + 0.784967i
\(99\) −13.8302 + 4.54296i −1.38999 + 0.456585i
\(100\) −4.36437 + 4.49268i −0.436437 + 0.449268i
\(101\) 6.16256 + 3.55796i 0.613198 + 0.354030i 0.774216 0.632922i \(-0.218144\pi\)
−0.161018 + 0.986951i \(0.551478\pi\)
\(102\) −7.28515 + 4.55353i −0.721337 + 0.450867i
\(103\) 1.50519 0.869021i 0.148311 0.0856271i −0.424008 0.905658i \(-0.639377\pi\)
0.572319 + 0.820031i \(0.306044\pi\)
\(104\) −2.82201 + 7.25490i −0.276721 + 0.711402i
\(105\) 11.1091 6.88147i 1.08414 0.671563i
\(106\) −2.26576 1.71265i −0.220070 0.166347i
\(107\) −0.532028 0.921500i −0.0514331 0.0890847i 0.839163 0.543881i \(-0.183046\pi\)
−0.890596 + 0.454796i \(0.849712\pi\)
\(108\) 10.1216 2.35658i 0.973950 0.226762i
\(109\) −7.85874 4.53725i −0.752731 0.434589i 0.0739489 0.997262i \(-0.476440\pi\)
−0.826680 + 0.562673i \(0.809773\pi\)
\(110\) 19.4194 + 2.41366i 1.85157 + 0.230133i
\(111\) −0.336640 2.10355i −0.0319524 0.199660i
\(112\) 1.04308 10.5315i 0.0985616 0.995131i
\(113\) 16.8126i 1.58159i 0.612078 + 0.790797i \(0.290334\pi\)
−0.612078 + 0.790797i \(0.709666\pi\)
\(114\) −0.539621 15.3975i −0.0505401 1.44211i
\(115\) −5.20036 + 9.00729i −0.484936 + 0.839934i
\(116\) 7.57096 + 1.91153i 0.702946 + 0.177481i
\(117\) −6.15362 5.50499i −0.568902 0.508937i
\(118\) 0.877358 1.16071i 0.0807674 0.106852i
\(119\) −9.20396 1.18172i −0.843726 0.108328i
\(120\) −13.6565 2.94337i −1.24666 0.268691i
\(121\) −6.27296 10.8651i −0.570269 0.987735i
\(122\) 3.23952 1.36943i 0.293293 0.123982i
\(123\) −1.30211 + 3.40848i −0.117407 + 0.307332i
\(124\) 1.42134 + 1.38075i 0.127640 + 0.123995i
\(125\) 5.32750i 0.476506i
\(126\) 10.0702 + 4.95887i 0.897128 + 0.441771i
\(127\) 15.6371 1.38756 0.693782 0.720185i \(-0.255943\pi\)
0.693782 + 0.720185i \(0.255943\pi\)
\(128\) −8.61519 + 7.33338i −0.761483 + 0.648185i
\(129\) −8.28044 3.16329i −0.729052 0.278512i
\(130\) 4.32162 + 10.2232i 0.379031 + 0.896637i
\(131\) 8.73260 5.04177i 0.762971 0.440502i −0.0673904 0.997727i \(-0.521467\pi\)
0.830361 + 0.557225i \(0.188134\pi\)
\(132\) 7.08319 + 15.2440i 0.616513 + 1.32682i
\(133\) 10.0883 13.2349i 0.874763 1.14761i
\(134\) 4.95082 6.54971i 0.427685 0.565809i
\(135\) 8.01011 12.4658i 0.689400 1.07288i
\(136\) 6.20862 + 7.73717i 0.532384 + 0.663457i
\(137\) 17.0704 + 9.85557i 1.45842 + 0.842019i 0.998934 0.0461669i \(-0.0147006\pi\)
0.459485 + 0.888185i \(0.348034\pi\)
\(138\) −8.92853 + 0.312910i −0.760047 + 0.0266366i
\(139\) −0.111832 −0.00948546 −0.00474273 0.999989i \(-0.501510\pi\)
−0.00474273 + 0.999989i \(0.501510\pi\)
\(140\) −9.39618 11.8068i −0.794122 0.997860i
\(141\) 19.1986 3.07243i 1.61681 0.258745i
\(142\) −13.6872 1.70119i −1.14860 0.142761i
\(143\) 6.67743 11.5657i 0.558395 0.967169i
\(144\) −4.07359 11.2874i −0.339466 0.940618i
\(145\) 9.64192 5.56676i 0.800718 0.462295i
\(146\) 0.286564 0.379112i 0.0237162 0.0313755i
\(147\) 5.02010 + 11.0362i 0.414051 + 0.910254i
\(148\) −2.36659 + 0.671015i −0.194532 + 0.0551571i
\(149\) 5.49834 + 9.52340i 0.450441 + 0.780187i 0.998413 0.0563094i \(-0.0179333\pi\)
−0.547972 + 0.836497i \(0.684600\pi\)
\(150\) −6.50507 + 4.06595i −0.531136 + 0.331983i
\(151\) 4.16727 7.21792i 0.339127 0.587386i −0.645141 0.764063i \(-0.723202\pi\)
0.984269 + 0.176677i \(0.0565349\pi\)
\(152\) −17.5836 + 2.70479i −1.42622 + 0.219387i
\(153\) −9.99648 + 3.28365i −0.808168 + 0.265468i
\(154\) −4.51563 + 17.5856i −0.363880 + 1.41708i
\(155\) 2.82537 0.226939
\(156\) −5.47905 + 7.80231i −0.438675 + 0.624685i
\(157\) −5.42198 + 9.39114i −0.432721 + 0.749495i −0.997107 0.0760165i \(-0.975780\pi\)
0.564386 + 0.825511i \(0.309113\pi\)
\(158\) −7.29674 + 3.08451i −0.580498 + 0.245391i
\(159\) −2.19346 2.69980i −0.173953 0.214108i
\(160\) −1.52510 + 16.0590i −0.120570 + 1.26957i
\(161\) −7.67452 5.84987i −0.604837 0.461035i
\(162\) 12.7269 + 0.159116i 0.999922 + 0.0125014i
\(163\) 10.0621 5.80934i 0.788122 0.455022i −0.0511792 0.998689i \(-0.516298\pi\)
0.839301 + 0.543667i \(0.182965\pi\)
\(164\) 4.08500 + 1.03139i 0.318985 + 0.0805379i
\(165\) 22.3888 + 8.55294i 1.74296 + 0.665846i
\(166\) −0.193832 0.0240916i −0.0150443 0.00186987i
\(167\) −7.75061 −0.599761 −0.299880 0.953977i \(-0.596947\pi\)
−0.299880 + 0.953977i \(0.596947\pi\)
\(168\) 4.32219 12.2196i 0.333464 0.942763i
\(169\) −5.42533 −0.417333
\(170\) 14.0364 + 1.74459i 1.07654 + 0.133804i
\(171\) 3.86379 18.4697i 0.295472 1.41242i
\(172\) −2.50562 + 9.92394i −0.191052 + 0.756693i
\(173\) 0.880487 0.508349i 0.0669422 0.0386491i −0.466155 0.884703i \(-0.654361\pi\)
0.533098 + 0.846054i \(0.321028\pi\)
\(174\) 8.44461 + 4.48872i 0.640184 + 0.340289i
\(175\) −8.21842 1.05518i −0.621254 0.0797642i
\(176\) 16.5211 10.1877i 1.24532 0.767925i
\(177\) 1.38306 1.12367i 0.103957 0.0844603i
\(178\) 1.51361 0.639843i 0.113450 0.0479582i
\(179\) −10.8103 + 18.7240i −0.808002 + 1.39950i 0.106244 + 0.994340i \(0.466117\pi\)
−0.914246 + 0.405160i \(0.867216\pi\)
\(180\) −15.3800 7.49657i −1.14636 0.558762i
\(181\) −9.37049 −0.696503 −0.348251 0.937401i \(-0.613224\pi\)
−0.348251 + 0.937401i \(0.613224\pi\)
\(182\) −9.91855 + 2.76906i −0.735212 + 0.205257i
\(183\) 4.25340 0.680689i 0.314420 0.0503180i
\(184\) 1.56843 + 10.1962i 0.115626 + 0.751673i
\(185\) −1.75366 + 3.03743i −0.128932 + 0.223317i
\(186\) 1.28634 + 2.05800i 0.0943188 + 0.150900i
\(187\) −8.50950 14.7389i −0.622276 1.07781i
\(188\) −6.12419 21.5993i −0.446652 1.57529i
\(189\) 10.5252 + 8.84418i 0.765598 + 0.643319i
\(190\) −15.2955 + 20.2353i −1.10966 + 1.46803i
\(191\) 7.70657 4.44939i 0.557628 0.321947i −0.194565 0.980890i \(-0.562329\pi\)
0.752193 + 0.658943i \(0.228996\pi\)
\(192\) −12.3917 + 6.20046i −0.894294 + 0.447480i
\(193\) 7.45779 12.9173i 0.536824 0.929806i −0.462249 0.886750i \(-0.652957\pi\)
0.999073 0.0430556i \(-0.0137093\pi\)
\(194\) 15.5713 + 1.93538i 1.11796 + 0.138952i
\(195\) 2.14811 + 13.4228i 0.153829 + 0.961228i
\(196\) 11.9754 7.25183i 0.855388 0.517988i
\(197\) −2.74394 −0.195497 −0.0977487 0.995211i \(-0.531164\pi\)
−0.0977487 + 0.995211i \(0.531164\pi\)
\(198\) 3.96323 + 20.2020i 0.281654 + 1.43569i
\(199\) −20.1826 11.6525i −1.43071 0.826021i −0.433535 0.901137i \(-0.642734\pi\)
−0.997175 + 0.0751162i \(0.976067\pi\)
\(200\) 5.54381 + 6.90869i 0.392007 + 0.488518i
\(201\) 7.80443 6.34072i 0.550482 0.447240i
\(202\) 6.06823 8.02801i 0.426959 0.564849i
\(203\) 3.98360 + 9.53071i 0.279594 + 0.668925i
\(204\) 5.11973 + 11.0184i 0.358453 + 0.771440i
\(205\) 5.20240 3.00361i 0.363352 0.209781i
\(206\) −0.957044 2.26399i −0.0666804 0.157740i
\(207\) −10.7100 2.24050i −0.744399 0.155725i
\(208\) 9.68939 + 5.22594i 0.671838 + 0.362354i
\(209\) 30.5210 2.11118
\(210\) −7.71978 16.7910i −0.532715 1.15869i
\(211\) 20.3918i 1.40383i 0.712259 + 0.701916i \(0.247672\pi\)
−0.712259 + 0.701916i \(0.752328\pi\)
\(212\) −2.79877 + 2.88105i −0.192220 + 0.197872i
\(213\) −15.7800 6.02828i −1.08123 0.413051i
\(214\) −1.38605 + 0.585917i −0.0947484 + 0.0400525i
\(215\) 7.29686 + 12.6385i 0.497642 + 0.861941i
\(216\) −1.54173 14.6158i −0.104902 0.994483i
\(217\) −0.333826 + 2.60005i −0.0226616 + 0.176503i
\(218\) −7.73845 + 10.2376i −0.524114 + 0.693380i
\(219\) 0.451738 0.367015i 0.0305256 0.0248006i
\(220\) 6.77473 26.8325i 0.456752 1.80905i
\(221\) 4.82645 8.35966i 0.324662 0.562332i
\(222\) −3.01088 + 0.105519i −0.202077 + 0.00708199i
\(223\) 11.4666i 0.767860i −0.923362 0.383930i \(-0.874570\pi\)
0.923362 0.383930i \(-0.125430\pi\)
\(224\) −14.5981 3.30090i −0.975376 0.220550i
\(225\) −8.92608 + 2.93204i −0.595072 + 0.195470i
\(226\) 23.5950 + 2.93265i 1.56952 + 0.195077i
\(227\) −18.3699 10.6059i −1.21926 0.703938i −0.254497 0.967073i \(-0.581910\pi\)
−0.964759 + 0.263136i \(0.915243\pi\)
\(228\) −21.7032 1.92850i −1.43733 0.127718i
\(229\) 1.13465 + 1.96528i 0.0749800 + 0.129869i 0.901078 0.433658i \(-0.142777\pi\)
−0.826098 + 0.563527i \(0.809444\pi\)
\(230\) 11.7339 + 8.86942i 0.773707 + 0.584832i
\(231\) −10.5162 + 19.5927i −0.691912 + 1.28911i
\(232\) 4.00329 10.2918i 0.262829 0.675688i
\(233\) −22.5624 + 13.0264i −1.47811 + 0.853389i −0.999694 0.0247423i \(-0.992123\pi\)
−0.478420 + 0.878131i \(0.658790\pi\)
\(234\) −8.79918 + 7.67584i −0.575220 + 0.501785i
\(235\) −27.7219 16.0053i −1.80838 1.04407i
\(236\) −1.47591 1.43376i −0.0960738 0.0933300i
\(237\) −9.58042 + 1.53319i −0.622315 + 0.0995916i
\(238\) −3.26390 + 12.7108i −0.211567 + 0.823922i
\(239\) 8.32874i 0.538742i −0.963037 0.269371i \(-0.913184\pi\)
0.963037 0.269371i \(-0.0868157\pi\)
\(240\) −6.51288 + 18.6523i −0.420405 + 1.20400i
\(241\) 6.24112 + 3.60331i 0.402026 + 0.232110i 0.687358 0.726319i \(-0.258771\pi\)
−0.285332 + 0.958429i \(0.592104\pi\)
\(242\) −16.3424 + 6.90835i −1.05053 + 0.444085i
\(243\) 15.0893 + 3.91334i 0.967977 + 0.251041i
\(244\) −1.35680 4.78527i −0.0868601 0.306345i
\(245\) 5.04265 19.3139i 0.322163 1.23392i
\(246\) 4.55638 + 2.42194i 0.290504 + 0.154417i
\(247\) 8.65550 + 14.9918i 0.550736 + 0.953904i
\(248\) 2.18569 1.75389i 0.138791 0.111372i
\(249\) −0.223470 0.0853699i −0.0141618 0.00541010i
\(250\) −7.47669 0.929285i −0.472867 0.0587731i
\(251\) 8.41270i 0.531005i −0.964110 0.265502i \(-0.914462\pi\)
0.964110 0.265502i \(-0.0855378\pi\)
\(252\) 8.71592 13.2677i 0.549052 0.835788i
\(253\) 17.6982i 1.11268i
\(254\) 2.72760 21.9453i 0.171145 1.37697i
\(255\) 16.1826 + 6.18207i 1.01339 + 0.387136i
\(256\) 8.78901 + 13.3699i 0.549313 + 0.835616i
\(257\) −15.1284 26.2032i −0.943685 1.63451i −0.758364 0.651832i \(-0.774001\pi\)
−0.185321 0.982678i \(-0.559332\pi\)
\(258\) −5.88378 + 11.0691i −0.366308 + 0.689133i
\(259\) −2.58800 1.97269i −0.160810 0.122577i
\(260\) 15.1013 4.28176i 0.936541 0.265544i
\(261\) 8.72950 + 7.80936i 0.540342 + 0.483387i
\(262\) −5.55245 13.1349i −0.343032 0.811478i
\(263\) 20.9078 + 12.0711i 1.28923 + 0.744338i 0.978517 0.206166i \(-0.0660986\pi\)
0.310714 + 0.950504i \(0.399432\pi\)
\(264\) 22.6292 7.28162i 1.39273 0.448153i
\(265\) 5.72701i 0.351808i
\(266\) −16.8144 16.4666i −1.03095 1.00963i
\(267\) 1.98733 0.318041i 0.121623 0.0194638i
\(268\) −8.32839 8.09053i −0.508737 0.494208i
\(269\) −17.4083 10.0507i −1.06140 0.612800i −0.135581 0.990766i \(-0.543290\pi\)
−0.925819 + 0.377966i \(0.876623\pi\)
\(270\) −16.0975 13.4159i −0.979660 0.816468i
\(271\) −1.57903 + 0.911656i −0.0959195 + 0.0553791i −0.547192 0.837007i \(-0.684303\pi\)
0.451273 + 0.892386i \(0.350970\pi\)
\(272\) 11.9414 7.36366i 0.724056 0.446487i
\(273\) −12.6062 + 0.390851i −0.762959 + 0.0236554i
\(274\) 16.8091 22.2377i 1.01547 1.34343i
\(275\) −7.59832 13.1607i −0.458196 0.793618i
\(276\) −1.11828 + 12.5850i −0.0673124 + 0.757529i
\(277\) −11.4072 6.58598i −0.685395 0.395713i 0.116490 0.993192i \(-0.462836\pi\)
−0.801885 + 0.597479i \(0.796169\pi\)
\(278\) −0.0195070 + 0.156947i −0.00116995 + 0.00941303i
\(279\) 0.927606 + 2.82393i 0.0555343 + 0.169064i
\(280\) −18.2089 + 11.1273i −1.08819 + 0.664981i
\(281\) 15.3821i 0.917618i −0.888535 0.458809i \(-0.848276\pi\)
0.888535 0.458809i \(-0.151724\pi\)
\(282\) −0.963049 27.4795i −0.0573487 1.63638i
\(283\) −4.64882 + 8.05200i −0.276344 + 0.478641i −0.970473 0.241209i \(-0.922456\pi\)
0.694129 + 0.719850i \(0.255790\pi\)
\(284\) −4.77496 + 18.9121i −0.283342 + 1.12222i
\(285\) −24.1118 + 19.5897i −1.42826 + 1.16039i
\(286\) −15.0667 11.3886i −0.890910 0.673424i
\(287\) 2.14939 + 5.14240i 0.126875 + 0.303546i
\(288\) −16.5515 + 3.74805i −0.975306 + 0.220856i
\(289\) 2.34933 + 4.06916i 0.138196 + 0.239362i
\(290\) −6.13062 14.5026i −0.360003 0.851624i
\(291\) 17.9523 + 6.85812i 1.05238 + 0.402030i
\(292\) −0.482066 0.468298i −0.0282108 0.0274051i
\(293\) 17.8462i 1.04258i 0.853378 + 0.521292i \(0.174550\pi\)
−0.853378 + 0.521292i \(0.825450\pi\)
\(294\) 16.3641 5.12022i 0.954373 0.298617i
\(295\) −2.93385 −0.170815
\(296\) 0.528904 + 3.43835i 0.0307419 + 0.199850i
\(297\) −1.19805 + 25.1854i −0.0695179 + 1.46141i
\(298\) 14.3244 6.05527i 0.829788 0.350772i
\(299\) 8.69327 5.01906i 0.502745 0.290260i
\(300\) 4.57152 + 9.83854i 0.263937 + 0.568028i
\(301\) −12.4928 + 5.22166i −0.720071 + 0.300971i
\(302\) −9.40283 7.10744i −0.541072 0.408987i
\(303\) 9.56593 7.77185i 0.549548 0.446481i
\(304\) 0.728810 + 25.1489i 0.0418001 + 1.44239i
\(305\) −6.14172 3.54592i −0.351674 0.203039i
\(306\) 2.86462 + 14.6020i 0.163760 + 0.834740i
\(307\) 17.6654 1.00822 0.504110 0.863640i \(-0.331821\pi\)
0.504110 + 0.863640i \(0.331821\pi\)
\(308\) 23.8922 + 9.40479i 1.36138 + 0.535888i
\(309\) −0.475709 2.97255i −0.0270622 0.169103i
\(310\) 0.492834 3.96516i 0.0279911 0.225206i
\(311\) −4.15091 + 7.18958i −0.235376 + 0.407684i −0.959382 0.282110i \(-0.908966\pi\)
0.724006 + 0.689794i \(0.242299\pi\)
\(312\) 9.99416 + 9.05035i 0.565808 + 0.512375i
\(313\) −23.0954 + 13.3342i −1.30543 + 0.753691i −0.981330 0.192332i \(-0.938395\pi\)
−0.324101 + 0.946023i \(0.605062\pi\)
\(314\) 12.2339 + 9.24740i 0.690399 + 0.521861i
\(315\) −4.26761 22.2281i −0.240452 1.25241i
\(316\) 3.05607 + 10.7784i 0.171917 + 0.606332i
\(317\) 14.4097 + 24.9584i 0.809331 + 1.40180i 0.913328 + 0.407225i \(0.133504\pi\)
−0.103996 + 0.994578i \(0.533163\pi\)
\(318\) −4.17155 + 2.60740i −0.233929 + 0.146216i
\(319\) −9.47258 + 16.4070i −0.530362 + 0.918615i
\(320\) 22.2714 + 4.94155i 1.24501 + 0.276241i
\(321\) −1.81984 + 0.291237i −0.101574 + 0.0162553i
\(322\) −9.54848 + 9.75014i −0.532116 + 0.543354i
\(323\) 22.0606 1.22748
\(324\) 2.44329 17.8334i 0.135738 0.990745i
\(325\) 4.30964 7.46452i 0.239056 0.414057i
\(326\) −6.39776 15.1346i −0.354339 0.838227i
\(327\) −12.1988 + 9.91097i −0.674598 + 0.548078i
\(328\) 2.16002 5.55304i 0.119267 0.306615i
\(329\) 18.0043 23.6200i 0.992608 1.30222i
\(330\) 15.9086 29.9288i 0.875742 1.64753i
\(331\) 2.24514 1.29623i 0.123404 0.0712472i −0.437027 0.899448i \(-0.643969\pi\)
0.560431 + 0.828201i \(0.310635\pi\)
\(332\) −0.0676209 + 0.267825i −0.00371118 + 0.0146988i
\(333\) −3.61164 0.755539i −0.197916 0.0414033i
\(334\) −1.35195 + 10.8773i −0.0739756 + 0.595181i
\(335\) −16.5553 −0.904513
\(336\) −16.3952 8.19731i −0.894434 0.447200i
\(337\) 11.1713 0.608541 0.304271 0.952586i \(-0.401587\pi\)
0.304271 + 0.952586i \(0.401587\pi\)
\(338\) −0.946350 + 7.61399i −0.0514747 + 0.414147i
\(339\) 27.2028 + 10.3920i 1.47746 + 0.564416i
\(340\) 4.89678 19.3945i 0.265565 1.05182i
\(341\) −4.16362 + 2.40387i −0.225473 + 0.130177i
\(342\) −25.2467 8.64421i −1.36519 0.467426i
\(343\) 17.1779 + 6.92250i 0.927517 + 0.373780i
\(344\) 13.4903 + 5.24747i 0.727351 + 0.282925i
\(345\) 11.3594 + 13.9817i 0.611572 + 0.752749i
\(346\) −0.559840 1.32436i −0.0300972 0.0711981i
\(347\) −7.23643 + 12.5339i −0.388472 + 0.672853i −0.992244 0.124304i \(-0.960330\pi\)
0.603772 + 0.797157i \(0.293664\pi\)
\(348\) 7.77255 11.0683i 0.416653 0.593324i
\(349\) 22.8018 1.22055 0.610275 0.792189i \(-0.291059\pi\)
0.610275 + 0.792189i \(0.291059\pi\)
\(350\) −2.91441 + 11.3498i −0.155782 + 0.606672i
\(351\) −12.7107 + 6.55390i −0.678448 + 0.349821i
\(352\) −11.4157 24.9630i −0.608461 1.33053i
\(353\) 2.06060 3.56907i 0.109675 0.189962i −0.805964 0.591965i \(-0.798352\pi\)
0.915639 + 0.402003i \(0.131686\pi\)
\(354\) −1.33573 2.13701i −0.0709931 0.113581i
\(355\) 13.9056 + 24.0852i 0.738034 + 1.27831i
\(356\) −0.633942 2.23584i −0.0335989 0.118499i
\(357\) −7.60108 + 14.1616i −0.402292 + 0.749513i
\(358\) 24.3919 + 18.4374i 1.28915 + 0.974449i
\(359\) −9.83790 + 5.67992i −0.519225 + 0.299775i −0.736617 0.676310i \(-0.763578\pi\)
0.217393 + 0.976084i \(0.430245\pi\)
\(360\) −13.2036 + 20.2769i −0.695889 + 1.06869i
\(361\) −10.2811 + 17.8074i −0.541112 + 0.937234i
\(362\) −1.63451 + 13.1507i −0.0859080 + 0.691185i
\(363\) −21.4571 + 3.43387i −1.12621 + 0.180232i
\(364\) 2.15603 + 14.4029i 0.113007 + 0.754915i
\(365\) −0.958259 −0.0501576
\(366\) −0.213361 6.08802i −0.0111526 0.318226i
\(367\) 24.2527 + 14.0023i 1.26598 + 0.730914i 0.974225 0.225580i \(-0.0724275\pi\)
0.291755 + 0.956493i \(0.405761\pi\)
\(368\) 14.5831 0.422615i 0.760194 0.0220303i
\(369\) 4.71010 + 4.21363i 0.245198 + 0.219353i
\(370\) 3.95689 + 2.99094i 0.205709 + 0.155492i
\(371\) −5.27029 0.676664i −0.273620 0.0351306i
\(372\) 3.11260 1.44629i 0.161381 0.0749864i
\(373\) −27.1273 + 15.6619i −1.40460 + 0.810944i −0.994860 0.101259i \(-0.967713\pi\)
−0.409737 + 0.912204i \(0.634379\pi\)
\(374\) −22.1691 + 9.37143i −1.14634 + 0.484585i
\(375\) −8.61992 3.29298i −0.445131 0.170049i
\(376\) −31.3810 + 4.82718i −1.61835 + 0.248943i
\(377\) −10.7454 −0.553416
\(378\) 14.2480 13.2286i 0.732837 0.680404i
\(379\) 28.8128i 1.48001i −0.672600 0.740006i \(-0.734822\pi\)
0.672600 0.740006i \(-0.265178\pi\)
\(380\) 25.7305 + 24.9957i 1.31995 + 1.28225i
\(381\) 9.66541 25.3008i 0.495174 1.29620i
\(382\) −4.90007 11.5916i −0.250710 0.593080i
\(383\) 12.6701 + 21.9453i 0.647413 + 1.12135i 0.983738 + 0.179607i \(0.0574826\pi\)
−0.336325 + 0.941746i \(0.609184\pi\)
\(384\) 6.54032 + 18.4723i 0.333759 + 0.942658i
\(385\) 33.7781 14.1184i 1.72149 0.719540i
\(386\) −16.8274 12.7196i −0.856493 0.647409i
\(387\) −10.2364 + 11.4425i −0.520347 + 0.581657i
\(388\) 5.43227 21.5155i 0.275782 1.09228i
\(389\) 2.20886 3.82586i 0.111994 0.193979i −0.804580 0.593844i \(-0.797610\pi\)
0.916574 + 0.399865i \(0.130943\pi\)
\(390\) 19.2125 0.673321i 0.972862 0.0340949i
\(391\) 12.7923i 0.646932i
\(392\) −8.08843 18.0715i −0.408527 0.912746i
\(393\) −2.75991 17.2458i −0.139219 0.869934i
\(394\) −0.478629 + 3.85088i −0.0241130 + 0.194005i
\(395\) 13.8337 + 7.98689i 0.696049 + 0.401864i
\(396\) 29.0431 2.03819i 1.45947 0.102423i
\(397\) 8.01775 + 13.8871i 0.402399 + 0.696976i 0.994015 0.109244i \(-0.0348430\pi\)
−0.591616 + 0.806220i \(0.701510\pi\)
\(398\) −19.8737 + 26.2921i −0.996180 + 1.31790i
\(399\) −15.1785 24.5035i −0.759876 1.22671i
\(400\) 10.6628 6.57517i 0.533139 0.328759i
\(401\) 6.53545 3.77324i 0.326365 0.188427i −0.327861 0.944726i \(-0.606328\pi\)
0.654226 + 0.756299i \(0.272994\pi\)
\(402\) −7.53732 12.0589i −0.375928 0.601442i
\(403\) −2.36154 1.36343i −0.117637 0.0679175i
\(404\) −10.2081 9.91659i −0.507874 0.493369i
\(405\) −15.2186 20.6656i −0.756218 1.02688i
\(406\) 14.0704 3.92818i 0.698303 0.194952i
\(407\) 5.96817i 0.295831i
\(408\) 16.3564 5.26316i 0.809762 0.260565i
\(409\) −24.3612 14.0650i −1.20458 0.695467i −0.243013 0.970023i \(-0.578136\pi\)
−0.961571 + 0.274556i \(0.911469\pi\)
\(410\) −3.30784 7.82505i −0.163363 0.386452i
\(411\) 26.4977 21.5281i 1.30704 1.06190i
\(412\) −3.34425 + 0.948219i −0.164760 + 0.0467154i
\(413\) 0.346643 2.69988i 0.0170572 0.132852i
\(414\) −5.01252 + 14.6398i −0.246352 + 0.719508i
\(415\) 0.196926 + 0.341085i 0.00966670 + 0.0167432i
\(416\) 9.02429 12.6867i 0.442452 0.622015i
\(417\) −0.0691243 + 0.180945i −0.00338503 + 0.00886090i
\(418\) 5.32383 42.8336i 0.260397 2.09506i
\(419\) 19.5661i 0.955866i −0.878396 0.477933i \(-0.841386\pi\)
0.878396 0.477933i \(-0.158614\pi\)
\(420\) −24.9114 + 7.90516i −1.21555 + 0.385732i
\(421\) 26.0983i 1.27195i 0.771708 + 0.635977i \(0.219403\pi\)
−0.771708 + 0.635977i \(0.780597\pi\)
\(422\) 28.6182 + 3.55699i 1.39311 + 0.173151i
\(423\) 6.89562 32.9625i 0.335277 1.60269i
\(424\) 3.55512 + 4.43039i 0.172652 + 0.215159i
\(425\) −5.49207 9.51254i −0.266404 0.461426i
\(426\) −11.2127 + 21.0944i −0.543258 + 1.02203i
\(427\) 3.98880 5.23296i 0.193032 0.253241i
\(428\) 0.580514 + 2.04740i 0.0280602 + 0.0989650i
\(429\) −14.5859 17.9530i −0.704214 0.866777i
\(430\) 19.0099 8.03596i 0.916739 0.387528i
\(431\) 10.4072 + 6.00858i 0.501296 + 0.289423i 0.729248 0.684249i \(-0.239870\pi\)
−0.227953 + 0.973672i \(0.573203\pi\)
\(432\) −20.7810 0.385775i −0.999828 0.0185606i
\(433\) 35.6343i 1.71247i −0.516583 0.856237i \(-0.672796\pi\)
0.516583 0.856237i \(-0.327204\pi\)
\(434\) 3.59072 + 0.922027i 0.172360 + 0.0442587i
\(435\) −3.04729 19.0415i −0.146107 0.912972i
\(436\) 13.0178 + 12.6460i 0.623440 + 0.605635i
\(437\) 19.8674 + 11.4705i 0.950389 + 0.548707i
\(438\) −0.436277 0.697995i −0.0208461 0.0333515i
\(439\) −11.6950 + 6.75210i −0.558171 + 0.322260i −0.752411 0.658694i \(-0.771109\pi\)
0.194240 + 0.980954i \(0.437776\pi\)
\(440\) −36.4754 14.1882i −1.73890 0.676396i
\(441\) 20.9597 1.30095i 0.998079 0.0619500i
\(442\) −10.8902 8.23170i −0.517993 0.391542i
\(443\) −11.7659 20.3791i −0.559014 0.968241i −0.997579 0.0695416i \(-0.977846\pi\)
0.438565 0.898700i \(-0.355487\pi\)
\(444\) −0.377105 + 4.24391i −0.0178966 + 0.201407i
\(445\) −2.86962 1.65678i −0.136033 0.0785387i
\(446\) −16.0924 2.00014i −0.761996 0.0947092i
\(447\) 18.8075 3.00984i 0.889563 0.142360i
\(448\) −7.17890 + 19.9114i −0.339171 + 0.940725i
\(449\) 30.6292i 1.44548i 0.691120 + 0.722740i \(0.257117\pi\)
−0.691120 + 0.722740i \(0.742883\pi\)
\(450\) 2.55788 + 13.0384i 0.120580 + 0.614638i
\(451\) −5.11103 + 8.85257i −0.240669 + 0.416851i
\(452\) 8.23144 32.6021i 0.387174 1.53347i
\(453\) −9.10281 11.2041i −0.427687 0.526416i
\(454\) −18.0888 + 23.9307i −0.848948 + 1.12312i
\(455\) 16.5141 + 12.5878i 0.774193 + 0.590125i
\(456\) −6.49221 + 30.1222i −0.304025 + 1.41060i
\(457\) 5.80736 + 10.0587i 0.271657 + 0.470524i 0.969286 0.245935i \(-0.0790950\pi\)
−0.697629 + 0.716459i \(0.745762\pi\)
\(458\) 2.95602 1.24958i 0.138126 0.0583892i
\(459\) −0.865951 + 18.2040i −0.0404191 + 0.849691i
\(460\) 14.4942 14.9204i 0.675797 0.695665i
\(461\) 30.8362i 1.43618i 0.695948 + 0.718092i \(0.254985\pi\)
−0.695948 + 0.718092i \(0.745015\pi\)
\(462\) 25.6624 + 18.1761i 1.19392 + 0.845629i
\(463\) −32.3199 −1.50203 −0.751016 0.660284i \(-0.770436\pi\)
−0.751016 + 0.660284i \(0.770436\pi\)
\(464\) −13.7453 7.41349i −0.638111 0.344163i
\(465\) 1.74639 4.57146i 0.0809867 0.211996i
\(466\) 14.3459 + 33.9367i 0.664560 + 1.57209i
\(467\) −29.3749 + 16.9596i −1.35931 + 0.784797i −0.989531 0.144323i \(-0.953900\pi\)
−0.369778 + 0.929120i \(0.620566\pi\)
\(468\) 9.23753 + 13.6878i 0.427005 + 0.632719i
\(469\) 1.95606 15.2350i 0.0903225 0.703489i
\(470\) −27.2976 + 36.1135i −1.25914 + 1.66579i
\(471\) 11.8435 + 14.5775i 0.545722 + 0.671698i
\(472\) −2.26961 + 1.82123i −0.104467 + 0.0838287i
\(473\) −21.5061 12.4166i −0.988852 0.570914i
\(474\) 0.480577 + 13.7127i 0.0220736 + 0.629847i
\(475\) 19.6984 0.903823
\(476\) 17.2693 + 6.79778i 0.791535 + 0.311576i
\(477\) −5.72409 + 1.88025i −0.262088 + 0.0860910i
\(478\) −11.6887 1.45280i −0.534628 0.0664494i
\(479\) −17.6827 + 30.6273i −0.807943 + 1.39940i 0.106344 + 0.994329i \(0.466086\pi\)
−0.914286 + 0.405068i \(0.867248\pi\)
\(480\) 25.0408 + 12.3938i 1.14295 + 0.565698i
\(481\) 2.93154 1.69253i 0.133667 0.0771726i
\(482\) 6.14559 8.13034i 0.279924 0.370327i
\(483\) −14.2088 + 8.80156i −0.646524 + 0.400485i
\(484\) 6.84464 + 24.1402i 0.311120 + 1.09728i
\(485\) −15.8198 27.4008i −0.718342 1.24421i
\(486\) 8.12408 20.4939i 0.368516 0.929621i
\(487\) 16.4191 28.4386i 0.744018 1.28868i −0.206634 0.978418i \(-0.566251\pi\)
0.950652 0.310259i \(-0.100416\pi\)
\(488\) −6.95238 + 1.06945i −0.314720 + 0.0484117i
\(489\) −3.18008 19.8713i −0.143808 0.898610i
\(490\) −26.2259 10.4459i −1.18476 0.471897i
\(491\) −22.5295 −1.01674 −0.508371 0.861138i \(-0.669752\pi\)
−0.508371 + 0.861138i \(0.669752\pi\)
\(492\) 4.19377 5.97203i 0.189070 0.269240i
\(493\) −6.84678 + 11.8590i −0.308363 + 0.534101i
\(494\) 22.5495 9.53222i 1.01455 0.428875i
\(495\) 27.6774 30.9385i 1.24401 1.39058i
\(496\) −2.08018 3.37336i −0.0934027 0.151468i
\(497\) −23.8075 + 9.95092i −1.06791 + 0.446360i
\(498\) −0.158790 + 0.298730i −0.00711554 + 0.0133864i
\(499\) −11.3117 + 6.53084i −0.506383 + 0.292361i −0.731346 0.682007i \(-0.761107\pi\)
0.224962 + 0.974367i \(0.427774\pi\)
\(500\) −2.60834 + 10.3308i −0.116649 + 0.462007i
\(501\) −4.79073 + 12.5405i −0.214034 + 0.560270i
\(502\) −11.8065 1.46744i −0.526950 0.0654951i
\(503\) −2.77607 −0.123779 −0.0618894 0.998083i \(-0.519713\pi\)
−0.0618894 + 0.998083i \(0.519713\pi\)
\(504\) −17.0998 14.5464i −0.761686 0.647947i
\(505\) −20.2919 −0.902978
\(506\) −24.8379 3.08712i −1.10418 0.137239i
\(507\) −3.35345 + 8.77822i −0.148932 + 0.389854i
\(508\) −30.3225 7.65590i −1.34535 0.339676i
\(509\) 27.2704 15.7446i 1.20874 0.697866i 0.246255 0.969205i \(-0.420800\pi\)
0.962484 + 0.271339i \(0.0874665\pi\)
\(510\) 11.4988 21.6326i 0.509174 0.957906i
\(511\) 0.113221 0.881838i 0.00500861 0.0390102i
\(512\) 20.2965 10.0025i 0.896989 0.442052i
\(513\) −27.4959 17.6680i −1.21397 0.780059i
\(514\) −39.4128 + 16.6608i −1.73842 + 0.734875i
\(515\) −2.47812 + 4.29223i −0.109199 + 0.189138i
\(516\) 14.5082 + 10.1882i 0.638690 + 0.448510i
\(517\) 54.4701 2.39559
\(518\) −3.21993 + 3.28794i −0.141476 + 0.144464i
\(519\) −0.278275 1.73885i −0.0122149 0.0763270i
\(520\) −3.37495 21.9402i −0.148001 0.962142i
\(521\) 2.92633 5.06856i 0.128205 0.222058i −0.794776 0.606903i \(-0.792412\pi\)
0.922981 + 0.384845i \(0.125745\pi\)
\(522\) 12.4825 10.8889i 0.546343 0.476594i
\(523\) 9.81038 + 16.9921i 0.428978 + 0.743012i 0.996783 0.0801516i \(-0.0255405\pi\)
−0.567805 + 0.823163i \(0.692207\pi\)
\(524\) −19.4023 + 5.50125i −0.847591 + 0.240323i
\(525\) −6.78717 + 12.6452i −0.296216 + 0.551883i
\(526\) 20.5878 27.2367i 0.897670 1.18758i
\(527\) −3.00947 + 1.73752i −0.131094 + 0.0756874i
\(528\) −6.27189 33.0283i −0.272949 1.43737i
\(529\) −4.84862 + 8.39806i −0.210810 + 0.365133i
\(530\) 8.03738 + 0.998973i 0.349121 + 0.0433926i
\(531\) −0.963222 2.93235i −0.0418003 0.127253i
\(532\) −26.0424 + 20.7252i −1.12908 + 0.898553i
\(533\) −5.79779 −0.251130
\(534\) −0.0996895 2.84453i −0.00431398 0.123095i
\(535\) 2.62777 + 1.51715i 0.113609 + 0.0655919i
\(536\) −12.8071 + 10.2769i −0.553183 + 0.443896i
\(537\) 23.6136 + 29.0647i 1.01900 + 1.25423i
\(538\) −17.1418 + 22.6779i −0.739036 + 0.977712i
\(539\) 9.00148 + 32.7525i 0.387721 + 1.41075i
\(540\) −21.6360 + 20.2513i −0.931066 + 0.871475i
\(541\) 35.5120 20.5029i 1.52678 0.881488i 0.527287 0.849687i \(-0.323209\pi\)
0.999494 0.0318007i \(-0.0101242\pi\)
\(542\) 1.00400 + 2.37506i 0.0431254 + 0.102018i
\(543\) −5.79199 + 15.1615i −0.248558 + 0.650642i
\(544\) −8.25130 18.0432i −0.353772 0.773598i
\(545\) 25.8771 1.10845
\(546\) −1.65039 + 17.7598i −0.0706301 + 0.760051i
\(547\) 13.0813i 0.559315i 0.960100 + 0.279658i \(0.0902209\pi\)
−0.960100 + 0.279658i \(0.909779\pi\)
\(548\) −28.2766 27.4691i −1.20792 1.17342i
\(549\) 1.52771 7.30276i 0.0652010 0.311674i
\(550\) −19.7953 + 8.36795i −0.844073 + 0.356811i
\(551\) −12.2787 21.2673i −0.523088 0.906016i
\(552\) 17.4669 + 3.76463i 0.743442 + 0.160233i
\(553\) −8.98443 + 11.7868i −0.382057 + 0.501225i
\(554\) −11.2326 + 14.8603i −0.477229 + 0.631353i
\(555\) 3.83063 + 4.71490i 0.162601 + 0.200136i
\(556\) 0.216859 + 0.0547529i 0.00919685 + 0.00232204i
\(557\) 19.2814 33.3964i 0.816980 1.41505i −0.0909180 0.995858i \(-0.528980\pi\)
0.907898 0.419192i \(-0.137687\pi\)
\(558\) 4.12495 0.809234i 0.174623 0.0342576i
\(559\) 14.0849i 0.595730i
\(560\) 12.4399 + 27.4956i 0.525684 + 1.16190i
\(561\) −29.1074 + 4.65817i −1.22891 + 0.196668i
\(562\) −21.5874 2.68312i −0.910611 0.113181i
\(563\) −9.75701 5.63321i −0.411209 0.237411i 0.280100 0.959971i \(-0.409632\pi\)
−0.691309 + 0.722559i \(0.742966\pi\)
\(564\) −38.7332 3.44175i −1.63096 0.144924i
\(565\) −23.9716 41.5200i −1.00849 1.74676i
\(566\) 10.4894 + 7.92875i 0.440902 + 0.333270i
\(567\) 20.8157 11.5632i 0.874176 0.485609i
\(568\) 25.7086 + 10.0001i 1.07871 + 0.419595i
\(569\) 26.7497 15.4440i 1.12141 0.647445i 0.179648 0.983731i \(-0.442504\pi\)
0.941760 + 0.336286i \(0.109171\pi\)
\(570\) 23.2866 + 37.2559i 0.975367 + 1.56048i
\(571\) 6.49082 + 3.74748i 0.271633 + 0.156827i 0.629629 0.776896i \(-0.283207\pi\)
−0.357997 + 0.933723i \(0.616540\pi\)
\(572\) −18.6111 + 19.1582i −0.778168 + 0.801046i
\(573\) −2.43564 15.2195i −0.101750 0.635803i
\(574\) 7.59184 2.11949i 0.316877 0.0884659i
\(575\) 11.4225i 0.476350i
\(576\) 2.37296 + 23.8824i 0.0988733 + 0.995100i
\(577\) 18.4495 + 10.6518i 0.768064 + 0.443442i 0.832184 0.554500i \(-0.187091\pi\)
−0.0641196 + 0.997942i \(0.520424\pi\)
\(578\) 6.12052 2.58730i 0.254580 0.107617i
\(579\) −16.2905 20.0510i −0.677010 0.833292i
\(580\) −21.4226 + 6.07409i −0.889524 + 0.252213i
\(581\) −0.337151 + 0.140921i −0.0139874 + 0.00584637i
\(582\) 12.7562 23.9982i 0.528763 0.994759i
\(583\) −4.87263 8.43964i −0.201804 0.349534i
\(584\) −0.741304 + 0.594852i −0.0306754 + 0.0246152i
\(585\) 23.0459 + 4.82112i 0.952833 + 0.199329i
\(586\) 25.0456 + 3.11294i 1.03462 + 0.128594i
\(587\) 15.2002i 0.627381i −0.949525 0.313691i \(-0.898435\pi\)
0.949525 0.313691i \(-0.101565\pi\)
\(588\) −4.33137 23.8587i −0.178623 0.983918i
\(589\) 6.23194i 0.256783i
\(590\) −0.511756 + 4.11741i −0.0210687 + 0.169511i
\(591\) −1.69605 + 4.43970i −0.0697663 + 0.182625i
\(592\) 4.91769 0.142514i 0.202116 0.00585728i
\(593\) −4.55071 7.88206i −0.186875 0.323678i 0.757332 0.653031i \(-0.226503\pi\)
−0.944207 + 0.329353i \(0.893169\pi\)
\(594\) 35.1366 + 6.07449i 1.44167 + 0.249240i
\(595\) 24.4148 10.2048i 1.00091 0.418355i
\(596\) −5.99943 21.1593i −0.245746 0.866717i
\(597\) −31.3288 + 25.4531i −1.28220 + 1.04173i
\(598\) −5.52745 13.0758i −0.226034 0.534707i
\(599\) −37.6136 21.7162i −1.53685 0.887302i −0.999021 0.0442488i \(-0.985911\pi\)
−0.537831 0.843053i \(-0.680756\pi\)
\(600\) 14.6050 4.69959i 0.596245 0.191860i
\(601\) 15.5284i 0.633415i −0.948523 0.316708i \(-0.897423\pi\)
0.948523 0.316708i \(-0.102577\pi\)
\(602\) 5.14902 + 18.4434i 0.209858 + 0.751695i
\(603\) −5.43533 16.5469i −0.221344 0.673841i
\(604\) −11.6148 + 11.9563i −0.472601 + 0.486496i
\(605\) 30.9831 + 17.8881i 1.25964 + 0.727256i
\(606\) −9.23853 14.7806i −0.375290 0.600422i
\(607\) 1.01612 0.586656i 0.0412430 0.0238116i −0.479237 0.877686i \(-0.659086\pi\)
0.520480 + 0.853874i \(0.325753\pi\)
\(608\) 35.4214 + 3.36394i 1.43653 + 0.136426i
\(609\) 17.8830 0.554459i 0.724657 0.0224678i
\(610\) −6.04771 + 8.00086i −0.244865 + 0.323945i
\(611\) 15.4473 + 26.7555i 0.624930 + 1.08241i
\(612\) 20.9923 1.47321i 0.848565 0.0595508i
\(613\) 35.7276 + 20.6273i 1.44302 + 0.833131i 0.998050 0.0624126i \(-0.0198795\pi\)
0.444974 + 0.895543i \(0.353213\pi\)
\(614\) 3.08141 24.7919i 0.124356 1.00052i
\(615\) −1.64420 10.2741i −0.0663006 0.414291i
\(616\) 17.3664 31.8901i 0.699711 1.28489i
\(617\) 15.3232i 0.616887i 0.951243 + 0.308444i \(0.0998081\pi\)
−0.951243 + 0.308444i \(0.900192\pi\)
\(618\) −4.25470 + 0.149110i −0.171149 + 0.00599810i
\(619\) 7.95796 13.7836i 0.319857 0.554009i −0.660601 0.750738i \(-0.729698\pi\)
0.980458 + 0.196728i \(0.0630316\pi\)
\(620\) −5.47881 1.38330i −0.220034 0.0555547i
\(621\) −10.2451 + 15.9440i −0.411122 + 0.639812i
\(622\) 9.36592 + 7.07954i 0.375539 + 0.283864i
\(623\) 1.86370 2.44502i 0.0746677 0.0979575i
\(624\) 14.4447 12.4473i 0.578251 0.498290i
\(625\) 15.4254 + 26.7176i 0.617017 + 1.06871i
\(626\) 14.6848 + 34.7384i 0.586922 + 1.38842i
\(627\) 18.8653 49.3831i 0.753407 1.97217i
\(628\) 15.1119 15.5562i 0.603031 0.620760i
\(629\) 4.31380i 0.172002i
\(630\) −31.9397 + 2.11194i −1.27251 + 0.0841415i
\(631\) −27.9268 −1.11175 −0.555875 0.831266i \(-0.687617\pi\)
−0.555875 + 0.831266i \(0.687617\pi\)
\(632\) 15.6596 2.40884i 0.622907 0.0958186i
\(633\) 32.9941 + 12.6044i 1.31140 + 0.500980i
\(634\) 37.5405 15.8693i 1.49092 0.630251i
\(635\) −38.6170 + 22.2955i −1.53247 + 0.884770i
\(636\) 2.93162 + 6.30923i 0.116246 + 0.250177i
\(637\) −13.5351 + 13.7098i −0.536281 + 0.543203i
\(638\) 21.3735 + 16.1559i 0.846184 + 0.639616i
\(639\) −19.5076 + 21.8060i −0.771708 + 0.862634i
\(640\) 10.8199 30.3940i 0.427693 1.20143i
\(641\) 7.03036 + 4.05898i 0.277683 + 0.160320i 0.632374 0.774663i \(-0.282081\pi\)
−0.354691 + 0.934984i \(0.615414\pi\)
\(642\) 0.0912878 + 2.60480i 0.00360284 + 0.102803i
\(643\) −21.5611 −0.850285 −0.425143 0.905126i \(-0.639776\pi\)
−0.425143 + 0.905126i \(0.639776\pi\)
\(644\) 12.0179 + 15.1012i 0.473573 + 0.595071i
\(645\) 24.9595 3.99436i 0.982778 0.157278i
\(646\) 3.84806 30.9601i 0.151400 1.21811i
\(647\) 19.5173 33.8049i 0.767304 1.32901i −0.171716 0.985147i \(-0.554931\pi\)
0.939020 0.343863i \(-0.111736\pi\)
\(648\) −24.6015 6.53966i −0.966437 0.256902i
\(649\) 4.32348 2.49616i 0.169712 0.0979830i
\(650\) −9.72408 7.35027i −0.381410 0.288301i
\(651\) 4.00055 + 2.14725i 0.156794 + 0.0841572i
\(652\) −22.3561 + 6.33877i −0.875531 + 0.248245i
\(653\) 8.53952 + 14.7909i 0.334177 + 0.578812i 0.983326 0.181849i \(-0.0582083\pi\)
−0.649149 + 0.760661i \(0.724875\pi\)
\(654\) 11.7813 + 18.8488i 0.460687 + 0.737048i
\(655\) −14.3772 + 24.9021i −0.561765 + 0.973006i
\(656\) −7.41644 4.00003i −0.289563 0.156175i
\(657\) −0.314609 0.957770i −0.0122741 0.0373662i
\(658\) −30.0082 29.3876i −1.16984 1.14565i
\(659\) 6.99022 0.272300 0.136150 0.990688i \(-0.456527\pi\)
0.136150 + 0.990688i \(0.456527\pi\)
\(660\) −39.2276 27.5470i −1.52693 1.07226i
\(661\) −23.0740 + 39.9653i −0.897474 + 1.55447i −0.0667617 + 0.997769i \(0.521267\pi\)
−0.830712 + 0.556702i \(0.812067\pi\)
\(662\) −1.42753 3.37696i −0.0554823 0.131249i
\(663\) −10.5427 12.9764i −0.409444 0.503962i
\(664\) 0.364074 + 0.141617i 0.0141288 + 0.00549582i
\(665\) −6.04325 + 47.0686i −0.234347 + 1.82524i
\(666\) −1.69032 + 4.93683i −0.0654985 + 0.191298i
\(667\) −12.3322 + 7.12002i −0.477506 + 0.275688i
\(668\) 15.0296 + 3.79470i 0.581512 + 0.146821i
\(669\) −18.5530 7.08760i −0.717301 0.274023i
\(670\) −2.88777 + 23.2340i −0.111564 + 0.897607i
\(671\) 12.0677 0.465869
\(672\) −14.3641 + 21.5795i −0.554106 + 0.832446i
\(673\) 8.04494 0.310110 0.155055 0.987906i \(-0.450445\pi\)
0.155055 + 0.987906i \(0.450445\pi\)
\(674\) 1.94863 15.6780i 0.0750586 0.603894i
\(675\) −0.773227 + 16.2548i −0.0297615 + 0.625646i
\(676\) 10.5205 + 2.65624i 0.404635 + 0.102163i
\(677\) 8.53140 4.92561i 0.327888 0.189306i −0.327015 0.945019i \(-0.606043\pi\)
0.654903 + 0.755713i \(0.272709\pi\)
\(678\) 19.3293 36.3642i 0.742339 1.39656i
\(679\) 27.0847 11.3207i 1.03942 0.434450i
\(680\) −26.3644 10.2552i −1.01103 0.393270i
\(681\) −28.5150 + 23.1671i −1.09270 + 0.887764i
\(682\) 2.64736 + 6.26260i 0.101372 + 0.239807i
\(683\) 20.1018 34.8173i 0.769173 1.33225i −0.168839 0.985644i \(-0.554002\pi\)
0.938012 0.346603i \(-0.112665\pi\)
\(684\) −16.5353 + 33.9238i −0.632241 + 1.29711i
\(685\) −56.2088 −2.14763
\(686\) 12.7115 22.9002i 0.485327 0.874332i
\(687\) 3.88117 0.621119i 0.148076 0.0236972i
\(688\) 9.71753 18.0172i 0.370477 0.686900i
\(689\) 2.76368 4.78683i 0.105288 0.182364i
\(690\) 21.6036 13.5032i 0.822434 0.514057i
\(691\) −17.2791 29.9282i −0.657326 1.13852i −0.981305 0.192458i \(-0.938354\pi\)
0.323979 0.946064i \(-0.394979\pi\)
\(692\) −1.95628 + 0.554678i −0.0743667 + 0.0210857i
\(693\) 25.2010 + 29.1256i 0.957307 + 1.10639i
\(694\) 16.3280 + 12.3420i 0.619801 + 0.468497i
\(695\) 0.276178 0.159451i 0.0104760 0.00604834i
\(696\) −14.1777 12.8388i −0.537403 0.486653i
\(697\) −3.69426 + 6.39864i −0.139930 + 0.242366i
\(698\) 3.97735 32.0003i 0.150545 1.21123i
\(699\) 7.13078 + 44.5579i 0.269711 + 1.68533i
\(700\) 15.4201 + 6.06989i 0.582825 + 0.229420i
\(701\) −29.6534 −1.11999 −0.559997 0.828495i \(-0.689198\pi\)
−0.559997 + 0.828495i \(0.689198\pi\)
\(702\) 6.98069 + 18.9816i 0.263469 + 0.716415i
\(703\) 6.69969 + 3.86807i 0.252684 + 0.145887i
\(704\) −37.0247 + 11.6667i −1.39542 + 0.439705i
\(705\) −43.0318 + 34.9612i −1.62067 + 1.31672i
\(706\) −4.64945 3.51444i −0.174984 0.132268i
\(707\) 2.39755 18.6736i 0.0901692 0.702295i
\(708\) −3.23211 + 1.50182i −0.121470 + 0.0564417i
\(709\) 9.81381 5.66601i 0.368565 0.212791i −0.304266 0.952587i \(-0.598411\pi\)
0.672832 + 0.739796i \(0.265078\pi\)
\(710\) 36.2272 15.3141i 1.35958 0.574729i
\(711\) −3.44103 + 16.4488i −0.129049 + 0.616880i
\(712\) −3.24839 + 0.499683i −0.121738 + 0.0187264i
\(713\) −3.61371 −0.135335
\(714\) 18.5488 + 13.1377i 0.694170 + 0.491666i
\(715\) 38.0831i 1.42423i
\(716\) 30.1301 31.0159i 1.12601 1.15912i
\(717\) −13.4759 5.14807i −0.503269 0.192258i
\(718\) 6.25524 + 14.7974i 0.233443 + 0.552235i
\(719\) −8.51080 14.7411i −0.317399 0.549752i 0.662545 0.749022i \(-0.269476\pi\)
−0.979945 + 0.199270i \(0.936143\pi\)
\(720\) 26.1538 + 22.0670i 0.974695 + 0.822389i
\(721\) −3.65713 2.78763i −0.136199 0.103817i
\(722\) 23.1979 + 17.5349i 0.863335 + 0.652580i
\(723\) 9.68787 7.87092i 0.360296 0.292723i
\(724\) 18.1708 + 4.58779i 0.675311 + 0.170504i
\(725\) −6.11364 + 10.5891i −0.227055 + 0.393271i
\(726\) 1.07634 + 30.7122i 0.0399468 + 1.13984i
\(727\) 42.1153i 1.56197i 0.624550 + 0.780985i \(0.285282\pi\)
−0.624550 + 0.780985i \(0.714718\pi\)
\(728\) 20.5893 0.513497i 0.763089 0.0190315i
\(729\) 15.6586 21.9956i 0.579949 0.814653i
\(730\) −0.167151 + 1.34483i −0.00618653 + 0.0497746i
\(731\) −15.5446 8.97469i −0.574939 0.331941i
\(732\) −8.58123 0.762510i −0.317172 0.0281832i
\(733\) 20.3500 + 35.2472i 0.751644 + 1.30189i 0.947026 + 0.321158i \(0.104072\pi\)
−0.195382 + 0.980727i \(0.562595\pi\)
\(734\) 23.8815 31.5941i 0.881481 1.16616i
\(735\) −28.1332 20.0972i −1.03771 0.741295i
\(736\) 1.95064 20.5398i 0.0719017 0.757107i
\(737\) 24.3968 14.0855i 0.898669 0.518847i
\(738\) 6.73506 5.87523i 0.247921 0.216270i
\(739\) −7.63741 4.40946i −0.280947 0.162205i 0.352905 0.935659i \(-0.385194\pi\)
−0.633852 + 0.773454i \(0.718527\pi\)
\(740\) 4.88774 5.03144i 0.179677 0.184959i
\(741\) 29.6068 4.73810i 1.08763 0.174058i
\(742\) −1.86895 + 7.27837i −0.0686112 + 0.267197i
\(743\) 16.3412i 0.599502i 0.954017 + 0.299751i \(0.0969036\pi\)
−0.954017 + 0.299751i \(0.903096\pi\)
\(744\) −1.48680 4.62055i −0.0545088 0.169398i
\(745\) −27.1572 15.6792i −0.994962 0.574441i
\(746\) 17.2483 + 40.8028i 0.631507 + 1.49390i
\(747\) −0.276258 + 0.308808i −0.0101077 + 0.0112987i
\(748\) 9.28501 + 32.7471i 0.339494 + 1.19735i
\(749\) −1.70663 + 2.23895i −0.0623590 + 0.0818096i
\(750\) −6.12500 + 11.5229i −0.223653 + 0.420758i
\(751\) 6.17492 + 10.6953i 0.225326 + 0.390276i 0.956417 0.292004i \(-0.0943219\pi\)
−0.731091 + 0.682280i \(0.760989\pi\)
\(752\) 1.30069 + 44.8826i 0.0474313 + 1.63670i
\(753\) −13.6118 5.19997i −0.496041 0.189497i
\(754\) −1.87434 + 15.0802i −0.0682593 + 0.549190i
\(755\) 23.7670i 0.864969i
\(756\) −16.0799 22.3033i −0.584819 0.811164i
\(757\) 29.0246i 1.05492i −0.849581 0.527459i \(-0.823145\pi\)
0.849581 0.527459i \(-0.176855\pi\)
\(758\) −40.4363 5.02586i −1.46871 0.182548i
\(759\) −28.6358 10.9394i −1.03941 0.397075i
\(760\) 39.5675 31.7506i 1.43527 1.15171i
\(761\) 15.5050 + 26.8554i 0.562055 + 0.973507i 0.997317 + 0.0732037i \(0.0233223\pi\)
−0.435262 + 0.900304i \(0.643344\pi\)
\(762\) −33.8216 17.9778i −1.22523 0.651269i
\(763\) −3.05745 + 23.8134i −0.110687 + 0.862102i
\(764\) −17.1226 + 4.85489i −0.619474 + 0.175644i
\(765\) 20.0052 22.3624i 0.723291 0.808513i
\(766\) 33.0084 13.9535i 1.19264 0.504160i
\(767\) 2.45221 + 1.41578i 0.0885442 + 0.0511210i
\(768\) 27.0651 5.95663i 0.976627 0.214941i
\(769\) 42.3916i 1.52868i 0.644813 + 0.764340i \(0.276935\pi\)
−0.644813 + 0.764340i \(0.723065\pi\)
\(770\) −13.9220 49.8674i −0.501714 1.79710i
\(771\) −51.7479 + 8.28143i −1.86366 + 0.298248i
\(772\) −20.7861 + 21.3972i −0.748107 + 0.770101i