Properties

Label 168.2.ba.c.101.11
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 101.11
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.174432 + 1.40341i) q^{2} +(1.09218 - 1.34430i) q^{3} +(-1.93915 - 0.489600i) q^{4} +(2.46958 - 1.42581i) q^{5} +(1.69610 + 1.76727i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(1.02536 - 2.63603i) q^{8} +(-0.614290 - 2.93643i) q^{9} +O(q^{10})\) \(q+(-0.174432 + 1.40341i) q^{2} +(1.09218 - 1.34430i) q^{3} +(-1.93915 - 0.489600i) q^{4} +(2.46958 - 1.42581i) q^{5} +(1.69610 + 1.76727i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(1.02536 - 2.63603i) q^{8} +(-0.614290 - 2.93643i) q^{9} +(1.57023 + 3.71455i) q^{10} +(-2.42621 + 4.20231i) q^{11} +(-2.77607 + 2.07207i) 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} +(4.22819 - 0.349896i) q^{18} +(3.14493 + 5.44717i) q^{19} +(-5.48696 + 1.55575i) q^{20} +(-4.39594 - 1.29450i) q^{21} +(-5.47438 - 4.13799i) q^{22} +(-3.15865 + 1.82365i) q^{23} +(-2.42373 - 4.25741i) 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} +(6.70845 + 1.94609i) q^{30} +(-0.858051 - 0.495396i) q^{31} +(-3.27893 + 4.60963i) q^{32} +(2.99932 + 7.85123i) q^{33} +(-3.95689 - 2.99094i) q^{34} +(-6.00030 - 4.57370i) q^{35} +(-0.246481 + 5.99494i) q^{36} +(1.06516 - 0.614970i) q^{37} +(-8.19322 + 3.46348i) q^{38} +(3.00591 - 3.69980i) q^{39} +(-1.22627 - 7.97185i) q^{40} +2.10659 q^{41} +(2.58351 - 5.94352i) q^{42} -5.11768i q^{43} +(6.76223 - 6.96103i) q^{44} +(-5.70384 - 6.37590i) q^{45} +(-2.00837 - 4.75100i) q^{46} +(-5.61268 - 9.72145i) q^{47} +(6.39768 - 2.65888i) q^{48} +(-4.91791 + 4.98138i) q^{49} +(3.53319 + 2.67068i) q^{50} +(2.16791 + 5.67487i) q^{51} +(-5.33694 - 1.34748i) q^{52} +(-1.00417 + 1.73927i) q^{53} +(4.14757 - 6.06611i) 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} +(-3.90134 + 9.07528i) q^{60} +(1.24347 + 2.15376i) q^{61} +(0.844918 - 1.11779i) q^{62} +(-6.54135 + 4.49563i) q^{63} +(-5.89727 - 5.40576i) q^{64} +(6.79681 - 3.92414i) q^{65} +(-11.5417 + 2.83979i) 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} +(-8.37039 - 1.39162i) q^{72} +(0.291019 + 0.168020i) q^{73} +(0.677260 + 1.60213i) q^{74} +(-1.93577 - 5.06722i) q^{75} +(-3.43154 - 12.1026i) q^{76} +(12.7338 + 1.63491i) q^{77} +(4.66803 + 4.86390i) q^{78} +(-2.80082 - 4.85116i) q^{79} +(11.4017 - 0.330420i) q^{80} +(-8.24530 + 3.60764i) q^{81} +(-0.367457 + 2.95643i) q^{82} +0.138115i q^{83} +(7.89058 + 4.66248i) q^{84} +10.0016i q^{85} +(7.18223 + 0.892686i) q^{86} +(4.26417 - 5.24852i) q^{87} +(8.58967 + 10.7044i) q^{88} +(-0.580993 - 1.00631i) q^{89} +(9.94296 - 6.89270i) q^{90} +(-2.80813 - 6.71841i) q^{91} +(7.01795 - 1.98985i) q^{92} +(-1.60311 + 0.612418i) q^{93} +(14.6223 - 6.18119i) q^{94} +(15.5333 + 8.96815i) q^{95} +(2.61555 + 9.44240i) 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
\(3\) 1.09218 1.34430i 0.630570 0.776132i
\(4\) −1.93915 0.489600i −0.969574 0.244800i
\(5\) 2.46958 1.42581i 1.10443 0.637643i 0.167049 0.985949i \(-0.446576\pi\)
0.937381 + 0.348306i \(0.113243\pi\)
\(6\) 1.69610 + 1.76727i 0.692430 + 0.721485i
\(7\) −1.02032 2.44110i −0.385643 0.922648i
\(8\) 1.02536 2.63603i 0.362520 0.931976i
\(9\) −0.614290 2.93643i −0.204763 0.978812i
\(10\) 1.57023 + 3.71455i 0.496552 + 1.17464i
\(11\) −2.42621 + 4.20231i −0.731529 + 1.26705i 0.224701 + 0.974428i \(0.427860\pi\)
−0.956230 + 0.292617i \(0.905474\pi\)
\(12\) −2.77607 + 2.07207i −0.801381 + 0.598154i
\(13\) 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 −0.996451 0.0841773i \(-0.973174\pi\)
0.571125 + 0.820863i \(0.306507\pi\)
\(18\) 4.22819 0.349896i 0.996593 0.0824713i
\(19\) 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
\(21\) −4.39594 1.29450i −0.959272 0.282484i
\(22\) −5.47438 4.13799i −1.16714 0.882223i
\(23\) −3.15865 + 1.82365i −0.658624 + 0.380257i −0.791753 0.610842i \(-0.790831\pi\)
0.133128 + 0.991099i \(0.457498\pi\)
\(24\) −2.42373 4.25741i −0.494743 0.869039i
\(25\) 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 \(-0.381922\pi\)
0.362503 + 0.931983i \(0.381922\pi\)
\(30\) 6.70845 + 1.94609i 1.22479 + 0.355306i
\(31\) −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
\(33\) 2.99932 + 7.85123i 0.522115 + 1.36672i
\(34\) −3.95689 2.99094i −0.678600 0.512942i
\(35\) −6.00030 4.57370i −1.01424 0.773097i
\(36\) −0.246481 + 5.99494i −0.0410801 + 0.999156i
\(37\) 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
\(39\) 3.00591 3.69980i 0.481330 0.592442i
\(40\) −1.22627 7.97185i −0.193890 1.26046i
\(41\) 2.10659 0.328995 0.164497 0.986378i \(-0.447400\pi\)
0.164497 + 0.986378i \(0.447400\pi\)
\(42\) 2.58351 5.94352i 0.398645 0.917105i
\(43\) 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
\(45\) −5.70384 6.37590i −0.850279 0.950463i
\(46\) −2.00837 4.75100i −0.296117 0.700497i
\(47\) −5.61268 9.72145i −0.818693 1.41802i −0.906645 0.421894i \(-0.861365\pi\)
0.0879518 0.996125i \(-0.471968\pi\)
\(48\) 6.39768 2.65888i 0.923426 0.383776i
\(49\) −4.91791 + 4.98138i −0.702558 + 0.711626i
\(50\) 3.53319 + 2.67068i 0.499668 + 0.377691i
\(51\) 2.16791 + 5.67487i 0.303568 + 0.794641i
\(52\) −5.33694 1.34748i −0.740101 0.186862i
\(53\) −1.00417 + 1.73927i −0.137933 + 0.238907i −0.926714 0.375767i \(-0.877379\pi\)
0.788781 + 0.614674i \(0.210712\pi\)
\(54\) 4.14757 6.06611i 0.564413 0.825492i
\(55\) 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 0.440879 0.897567i \(-0.354667\pi\)
−0.556876 + 0.830595i \(0.688000\pi\)
\(60\) −3.90134 + 9.07528i −0.503661 + 1.17161i
\(61\) 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
\(63\) −6.54135 + 4.49563i −0.824133 + 0.566397i
\(64\) −5.89727 5.40576i −0.737159 0.675720i
\(65\) 6.79681 3.92414i 0.843040 0.486729i
\(66\) −11.5417 + 2.83979i −1.42069 + 0.349554i
\(67\) 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 \(0.196448\pi\)
−0.815526 + 0.578720i \(0.803552\pi\)
\(72\) −8.37039 1.39162i −0.986460 0.164004i
\(73\) 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
\(75\) −1.93577 5.06722i −0.223524 0.585112i
\(76\) −3.43154 12.1026i −0.393624 1.38827i
\(77\) 12.7338 + 1.63491i 1.45115 + 0.186316i
\(78\) 4.66803 + 4.86390i 0.528550 + 0.550728i
\(79\) −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
\(81\) −8.24530 + 3.60764i −0.916144 + 0.400849i
\(82\) −0.367457 + 2.95643i −0.0405788 + 0.326483i
\(83\) 0.138115i 0.0151600i 0.999971 + 0.00758002i \(0.00241282\pi\)
−0.999971 + 0.00758002i \(0.997587\pi\)
\(84\) 7.89058 + 4.66248i 0.860933 + 0.508718i
\(85\) 10.0016i 1.08482i
\(86\) 7.18223 + 0.892686i 0.774480 + 0.0962609i
\(87\) 4.26417 5.24852i 0.457167 0.562700i
\(88\) 8.58967 + 10.7044i 0.915662 + 1.14110i
\(89\) −0.580993 1.00631i −0.0615852 0.106669i 0.833589 0.552385i \(-0.186282\pi\)
−0.895174 + 0.445717i \(0.852949\pi\)
\(90\) 9.94296 6.89270i 1.04808 0.726554i
\(91\) −2.80813 6.71841i −0.294372 0.704281i
\(92\) 7.01795 1.98985i 0.731671 0.207456i
\(93\) −1.60311 + 0.612418i −0.166234 + 0.0635048i
\(94\) 14.6223 6.18119i 1.50817 0.637541i
\(95\) 15.5333 + 8.96815i 1.59368 + 0.920113i
\(96\) 2.61555 + 9.44240i 0.266949 + 0.963711i
\(97\) 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 0.161018 0.986951i \(-0.448522\pi\)
−0.774216 + 0.632922i \(0.781856\pi\)
\(102\) −8.34235 + 2.05260i −0.826016 + 0.203238i
\(103\) 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
\(105\) −12.7018 + 3.07091i −1.23957 + 0.299690i
\(106\) −2.26576 1.71265i −0.220070 0.166347i
\(107\) 0.532028 + 0.921500i 0.0514331 + 0.0890847i 0.890596 0.454796i \(-0.150288\pi\)
−0.839163 + 0.543881i \(0.816954\pi\)
\(108\) 7.78980 + 6.87889i 0.749573 + 0.661921i
\(109\) −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 \(-0.709666\pi\)
0.612078 0.790797i \(-0.290334\pi\)
\(114\) −4.29251 + 14.7969i −0.402030 + 1.38586i
\(115\) −5.20036 + 9.00729i −0.484936 + 0.839934i
\(116\) −7.57096 1.91153i −0.702946 0.177481i
\(117\) −1.69066 8.08169i −0.156301 0.747152i
\(118\) 0.877358 1.16071i 0.0807674 0.106852i
\(119\) 9.20396 + 1.18172i 0.843726 + 0.108328i
\(120\) −12.0559 7.05821i −1.10055 0.644324i
\(121\) −6.27296 10.8651i −0.570269 0.987735i
\(122\) −3.23952 + 1.36943i −0.293293 + 0.123982i
\(123\) 2.30078 2.83190i 0.207454 0.255343i
\(124\) 1.42134 + 1.38075i 0.127640 + 0.123995i
\(125\) 5.32750i 0.476506i
\(126\) −5.16822 9.96441i −0.460422 0.887700i
\(127\) 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
\(129\) −6.87971 5.58943i −0.605724 0.492122i
\(130\) 4.32162 + 10.2232i 0.379031 + 0.896637i
\(131\) −8.73260 + 5.04177i −0.762971 + 0.440502i −0.830361 0.557225i \(-0.811866\pi\)
0.0673904 + 0.997727i \(0.478533\pi\)
\(132\) −1.97216 16.6932i −0.171655 1.45295i
\(133\) 10.0883 13.2349i 0.874763 1.14761i
\(134\) −4.95082 + 6.54971i −0.427685 + 0.565809i
\(135\) −14.8007 + 0.704060i −1.27385 + 0.0605958i
\(136\) 6.20862 + 7.73717i 0.532384 + 0.663457i
\(137\) −17.0704 9.85557i −1.45842 0.842019i −0.459485 0.888185i \(-0.651966\pi\)
−0.998934 + 0.0461669i \(0.985299\pi\)
\(138\) −8.58027 2.48909i −0.730401 0.211886i
\(139\) −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
\(144\) 3.41308 11.5044i 0.284424 0.958699i
\(145\) 9.64192 5.56676i 0.800718 0.462295i
\(146\) −0.286564 + 0.379112i −0.0237162 + 0.0313755i
\(147\) 1.32524 + 12.0517i 0.109304 + 0.994008i
\(148\) −2.36659 + 0.671015i −0.194532 + 0.0551571i
\(149\) −5.49834 9.52340i −0.450441 0.780187i 0.547972 0.836497i \(-0.315400\pi\)
−0.998413 + 0.0563094i \(0.982067\pi\)
\(150\) 7.44907 1.83281i 0.608214 0.149648i
\(151\) 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
\(156\) −7.64032 + 5.70276i −0.611715 + 0.456587i
\(157\) −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
\(159\) 1.24137 + 3.24949i 0.0984470 + 0.257702i
\(160\) −1.52510 + 16.0590i −0.120570 + 1.26957i
\(161\) 7.67452 + 5.84987i 0.604837 + 0.461035i
\(162\) −3.62478 12.2009i −0.284790 0.958590i
\(163\) 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
\(165\) 18.6014 + 15.1128i 1.44812 + 1.17653i
\(166\) −0.193832 0.0240916i −0.0150443 0.00186987i
\(167\) 7.75061 0.599761 0.299880 0.953977i \(-0.403053\pi\)
0.299880 + 0.953977i \(0.403053\pi\)
\(168\) −7.91976 + 10.2605i −0.611023 + 0.791613i
\(169\) −5.42533 −0.417333
\(170\) −14.0364 1.74459i −1.07654 0.133804i
\(171\) 14.0634 12.5810i 1.07545 0.962094i
\(172\) −2.50562 + 9.92394i −0.191052 + 0.756693i
\(173\) −0.880487 + 0.508349i −0.0669422 + 0.0386491i −0.533098 0.846054i \(-0.678972\pi\)
0.466155 + 0.884703i \(0.345639\pi\)
\(174\) 6.62204 + 6.89990i 0.502016 + 0.523080i
\(175\) −8.21842 1.05518i −0.621254 0.0797642i
\(176\) −16.5211 + 10.1877i −1.24532 + 0.767925i
\(177\) −1.66466 + 0.635932i −0.125123 + 0.0477996i
\(178\) 1.51361 0.639843i 0.113450 0.0479582i
\(179\) 10.8103 18.7240i 0.808002 1.39950i −0.106244 0.994340i \(-0.533883\pi\)
0.914246 0.405160i \(-0.132784\pi\)
\(180\) 7.93895 + 15.1564i 0.591734 + 1.12969i
\(181\) −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
\(186\) −0.579844 2.35665i −0.0425162 0.172798i
\(187\) −8.50950 14.7389i −0.622276 1.07781i
\(188\) 6.12419 + 21.5993i 0.446652 + 1.57529i
\(189\) −1.10084 + 13.7036i −0.0800744 + 0.996789i
\(190\) −15.2955 + 20.2353i −1.10966 + 1.46803i
\(191\) −7.70657 + 4.44939i −0.557628 + 0.321947i −0.752193 0.658943i \(-0.771004\pi\)
0.194565 + 0.980890i \(0.437671\pi\)
\(192\) −13.7078 + 2.02365i −0.989278 + 0.146044i
\(193\) 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 \(-0.468836\pi\)
0.0977487 + 0.995211i \(0.468836\pi\)
\(198\) −8.78808 + 18.6171i −0.624542 + 1.32306i
\(199\) −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
\(201\) 9.39344 3.58848i 0.662562 0.253112i
\(202\) 6.06823 8.02801i 0.426959 0.564849i
\(203\) −3.98360 9.53071i −0.279594 0.668925i
\(204\) −1.42548 12.0658i −0.0998035 0.844776i
\(205\) 5.20240 3.00361i 0.363352 0.209781i
\(206\) 0.957044 + 2.26399i 0.0666804 + 0.157740i
\(207\) 7.29535 + 8.15492i 0.507062 + 0.566806i
\(208\) 9.68939 + 5.22594i 0.671838 + 0.362354i
\(209\) −30.5210 −2.11118
\(210\) −2.09415 18.3616i −0.144510 1.26707i
\(211\) 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
\(213\) 13.1107 + 10.6518i 0.898328 + 0.729847i
\(214\) −1.38605 + 0.585917i −0.0947484 + 0.0400525i
\(215\) −7.29686 12.6385i −0.497642 0.861941i
\(216\) −11.0127 + 9.73242i −0.749321 + 0.662207i
\(217\) −0.333826 + 2.60005i −0.0226616 + 0.176503i
\(218\) 7.73845 10.2376i 0.524114 0.693380i
\(219\) 0.543714 0.207709i 0.0367408 0.0140357i
\(220\) 6.77473 26.8325i 0.456752 1.80905i
\(221\) −4.82645 + 8.35966i −0.324662 + 0.562332i
\(222\) 2.89343 + 0.839371i 0.194195 + 0.0563349i
\(223\) 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 0.964759 0.263136i \(-0.0847567\pi\)
0.254497 + 0.967073i \(0.418090\pi\)
\(228\) −20.0174 8.60521i −1.32569 0.569894i
\(229\) 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
\(231\) 16.1054 15.3324i 1.05965 1.00880i
\(232\) 4.00329 10.2918i 0.262829 0.675688i
\(233\) 22.5624 13.0264i 1.47811 0.853389i 0.478420 0.878131i \(-0.341210\pi\)
0.999694 + 0.0247423i \(0.00787651\pi\)
\(234\) 11.6369 0.962988i 0.760726 0.0629525i
\(235\) −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 \(0.0868157\pi\)
−0.963037 + 0.269371i \(0.913184\pi\)
\(240\) 12.0085 15.6882i 0.775147 1.01267i
\(241\) 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
\(243\) −4.15558 + 15.0244i −0.266581 + 0.963813i
\(244\) −1.35680 4.78527i −0.0868601 0.306345i
\(245\) −5.04265 + 19.3139i −0.322163 + 1.23392i
\(246\) 3.57300 + 3.72292i 0.227806 + 0.237365i
\(247\) 8.65550 + 14.9918i 0.550736 + 0.953904i
\(248\) −2.18569 + 1.75389i −0.138791 + 0.111372i
\(249\) 0.185668 + 0.150846i 0.0117662 + 0.00955947i
\(250\) −7.47669 0.929285i −0.472867 0.0587731i
\(251\) 8.41270i 0.531005i 0.964110 + 0.265502i \(0.0855378\pi\)
−0.964110 + 0.265502i \(0.914462\pi\)
\(252\) 14.8857 5.51505i 0.937711 0.347415i
\(253\) 17.6982i 1.11268i
\(254\) −2.72760 + 21.9453i −0.171145 + 1.37697i
\(255\) 13.4451 + 10.9235i 0.841967 + 0.684057i
\(256\) 8.78901 + 13.3699i 0.549313 + 0.835616i
\(257\) 15.1284 + 26.2032i 0.943685 + 1.63451i 0.758364 + 0.651832i \(0.225999\pi\)
0.185321 + 0.982678i \(0.440668\pi\)
\(258\) 9.04432 8.68011i 0.563075 0.540400i
\(259\) −2.58800 1.97269i −0.160810 0.122577i
\(260\) −15.1013 + 4.28176i −0.936541 + 0.265544i
\(261\) −2.39836 11.4646i −0.148454 0.709644i
\(262\) −5.55245 13.1349i −0.343032 0.811478i
\(263\) −20.9078 12.0711i −1.28923 0.744338i −0.310714 0.950504i \(-0.600568\pi\)
−0.978517 + 0.206166i \(0.933901\pi\)
\(264\) 23.7714 + 0.144056i 1.46303 + 0.00886604i
\(265\) 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 0.925819 0.377966i \(-0.123377\pi\)
0.135581 + 0.990766i \(0.456710\pi\)
\(270\) 1.59363 20.8944i 0.0969853 1.27159i
\(271\) −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
\(273\) −12.0985 3.56274i −0.732237 0.215627i
\(274\) 16.8091 22.2377i 1.01547 1.34343i
\(275\) 7.59832 + 13.1607i 0.458196 + 0.793618i
\(276\) 4.98990 11.6075i 0.300357 0.698689i
\(277\) −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 \(0.151724\pi\)
−0.888535 + 0.458809i \(0.848276\pi\)
\(282\) 7.66074 26.4077i 0.456190 1.57255i
\(283\) −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
\(285\) 29.0210 11.0866i 1.71906 0.656713i
\(286\) −15.0667 11.3886i −0.890910 0.673424i
\(287\) −2.14939 5.14240i −0.126875 0.303546i
\(288\) 15.5501 + 6.79670i 0.916297 + 0.400500i
\(289\) 2.34933 + 4.06916i 0.138196 + 0.239362i
\(290\) 6.13062 + 14.5026i 0.360003 + 0.851624i
\(291\) 14.9154 + 12.1181i 0.874359 + 0.710374i
\(292\) −0.482066 0.468298i −0.0282108 0.0274051i
\(293\) 17.8462i 1.04258i −0.853378 0.521292i \(-0.825450\pi\)
0.853378 0.521292i \(-0.174550\pi\)
\(294\) −17.1447 0.242334i −0.999900 0.0141332i
\(295\) −2.93385 −0.170815
\(296\) −0.528904 3.43835i −0.0307419 0.199850i
\(297\) 21.2122 13.6302i 1.23086 0.790907i
\(298\) 14.3244 6.05527i 0.829788 0.350772i
\(299\) −8.69327 + 5.01906i −0.502745 + 0.290260i
\(300\) 1.27284 + 10.7738i 0.0734875 + 0.622028i
\(301\) −12.4928 + 5.22166i −0.720071 + 0.300971i
\(302\) 9.40283 + 7.10744i 0.541072 + 0.408987i
\(303\) −11.5136 + 4.39841i −0.661438 + 0.252682i
\(304\) 0.728810 + 25.1489i 0.0418001 + 1.44239i
\(305\) 6.14172 + 3.54592i 0.351674 + 0.203039i
\(306\) −6.35203 + 13.4564i −0.363121 + 0.769253i
\(307\) 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 −0.724006 0.689794i \(-0.757701\pi\)
0.959382 + 0.282110i \(0.0910344\pi\)
\(312\) −6.67063 11.7173i −0.377650 0.663360i
\(313\) −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
\(315\) −9.74446 + 20.4291i −0.549038 + 1.15105i
\(316\) 3.05607 + 10.7784i 0.171917 + 0.606332i
\(317\) −14.4097 24.9584i −0.809331 1.40180i −0.913328 0.407225i \(-0.866496\pi\)
0.103996 0.994578i \(-0.466837\pi\)
\(318\) −4.77692 + 1.17534i −0.267876 + 0.0659099i
\(319\) −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
\(324\) 17.7551 2.95885i 0.986397 0.164381i
\(325\) 4.30964 7.46452i 0.239056 0.414057i
\(326\) 6.39776 + 15.1346i 0.354339 + 0.838227i
\(327\) −14.6826 + 5.60903i −0.811948 + 0.310180i
\(328\) 2.16002 5.55304i 0.119267 0.306615i
\(329\) −18.0043 + 23.6200i −0.992608 + 1.30222i
\(330\) −24.4542 + 23.4694i −1.34616 + 1.29195i
\(331\) 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
\(333\) −2.46013 2.75000i −0.134815 0.150699i
\(334\) −1.35195 + 10.8773i −0.0739756 + 0.595181i
\(335\) 16.5553 0.904513
\(336\) −13.0182 12.9045i −0.710203 0.703996i
\(337\) 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
\(339\) −22.6012 18.3623i −1.22753 0.997306i
\(340\) 4.89678 19.3945i 0.265565 1.05182i
\(341\) 4.16362 2.40387i 0.225473 0.130177i
\(342\) 15.2033 + 21.9313i 0.822100 + 1.18591i
\(343\) 17.1779 + 6.92250i 0.927517 + 0.373780i
\(344\) −13.4903 5.24747i −0.727351 0.282925i
\(345\) 6.42878 + 16.8284i 0.346114 + 0.906012i
\(346\) −0.559840 1.32436i −0.0300972 0.0711981i
\(347\) 7.23643 12.5339i 0.388472 0.672853i −0.603772 0.797157i \(-0.706336\pi\)
0.992244 + 0.124304i \(0.0396697\pi\)
\(348\) −10.8385 + 8.08991i −0.581006 + 0.433665i
\(349\) 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 −0.915639 0.402003i \(-0.868314\pi\)
0.805964 + 0.591965i \(0.201648\pi\)
\(354\) −0.602107 2.44713i −0.0320016 0.130064i
\(355\) 13.9056 + 24.0852i 0.738034 + 1.27831i
\(356\) 0.633942 + 2.23584i 0.0335989 + 0.118499i
\(357\) 11.6410 11.0822i 0.616105 0.586535i
\(358\) 24.3919 + 18.4374i 1.28915 + 0.974449i
\(359\) 9.83790 5.67992i 0.519225 0.299775i −0.217393 0.976084i \(-0.569755\pi\)
0.736617 + 0.676310i \(0.236422\pi\)
\(360\) −22.6555 + 8.49788i −1.19405 + 0.447878i
\(361\) −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
\(366\) −1.69722 + 5.85055i −0.0887149 + 0.305813i
\(367\) 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
\(369\) −1.29406 6.18587i −0.0673660 0.322024i
\(370\) 3.95689 + 2.99094i 0.205709 + 0.155492i
\(371\) 5.27029 + 0.676664i 0.273620 + 0.0351306i
\(372\) 3.40850 0.402687i 0.176723 0.0208783i
\(373\) −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
\(375\) 7.16176 + 5.81858i 0.369832 + 0.300470i
\(376\) −31.3810 + 4.82718i −1.61835 + 0.248943i
\(377\) 10.7454 0.553416
\(378\) −19.0398 3.93528i −0.979301 0.202409i
\(379\) 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
\(381\) 17.0785 21.0209i 0.874956 1.07693i
\(382\) −4.90007 11.5916i −0.250710 0.593080i
\(383\) −12.6701 21.9453i −0.647413 1.12135i −0.983738 0.179607i \(-0.942517\pi\)
0.336325 0.941746i \(-0.390816\pi\)
\(384\) −0.448937 19.5908i −0.0229097 0.999738i
\(385\) 33.7781 14.1184i 1.72149 0.719540i
\(386\) 16.8274 + 12.7196i 0.856493 + 0.647409i
\(387\) −15.0277 + 3.14374i −0.763903 + 0.159805i
\(388\) 5.43227 21.5155i 0.275782 1.09228i
\(389\) −2.20886 + 3.82586i −0.111994 + 0.193979i −0.916574 0.399865i \(-0.869057\pi\)
0.804580 + 0.593844i \(0.202390\pi\)
\(390\) 18.4631 + 5.35605i 0.934914 + 0.271214i
\(391\) 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
\(396\) −24.5946 15.5807i −1.23592 0.782962i
\(397\) 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
\(399\) −6.77352 28.0165i −0.339100 1.40258i
\(400\) 10.6628 6.57517i 0.533139 0.328759i
\(401\) −6.53545 + 3.77324i −0.326365 + 0.188427i −0.654226 0.756299i \(-0.727006\pi\)
0.327861 + 0.944726i \(0.393672\pi\)
\(402\) 3.39761 + 13.8088i 0.169457 + 0.688723i
\(403\) −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
\(408\) 17.1820 + 0.104124i 0.850636 + 0.00515490i
\(409\) −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
\(411\) −31.8927 + 12.1836i −1.57315 + 0.600975i
\(412\) −3.34425 + 0.948219i −0.164760 + 0.0467154i
\(413\) −0.346643 + 2.69988i −0.0170572 + 0.132852i
\(414\) −12.7173 + 8.81592i −0.625020 + 0.433279i
\(415\) 0.196926 + 0.341085i 0.00966670 + 0.0167432i
\(416\) −9.02429 + 12.6867i −0.442452 + 0.622015i
\(417\) −0.122140 + 0.150336i −0.00598125 + 0.00736197i
\(418\) 5.32383 42.8336i 0.260397 2.09506i
\(419\) 19.5661i 0.955866i 0.878396 + 0.477933i \(0.158614\pi\)
−0.878396 + 0.477933i \(0.841386\pi\)
\(420\) 26.1342 + 0.263882i 1.27522 + 0.0128761i
\(421\) 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
\(423\) −25.0986 + 22.4531i −1.22033 + 1.09170i
\(424\) 3.55512 + 4.43039i 0.172652 + 0.215159i
\(425\) 5.49207 + 9.51254i 0.266404 + 0.461426i
\(426\) −17.2358 + 16.5417i −0.835076 + 0.801447i
\(427\) 3.98880 5.23296i 0.193032 0.253241i
\(428\) −0.580514 2.04740i −0.0280602 0.0989650i
\(429\) 8.25477 + 21.6082i 0.398544 + 1.04326i
\(430\) 19.0099 8.03596i 0.916739 0.387528i
\(431\) −10.4072 6.00858i −0.501296 0.289423i 0.227953 0.973672i \(-0.426797\pi\)
−0.729248 + 0.684249i \(0.760130\pi\)
\(432\) −11.7377 17.1531i −0.564728 0.825277i
\(433\) 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
\(438\) 0.196661 + 0.799287i 0.00939683 + 0.0381914i
\(439\) −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
\(441\) 17.6485 + 11.3811i 0.840406 + 0.541957i
\(442\) −10.8902 8.23170i −0.517993 0.391542i
\(443\) 11.7659 + 20.3791i 0.559014 + 0.968241i 0.997579 + 0.0695416i \(0.0221536\pi\)
−0.438565 + 0.898700i \(0.644513\pi\)
\(444\) −1.68269 + 3.91428i −0.0798571 + 0.185763i
\(445\) −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 \(-0.742883\pi\)
0.691120 0.722740i \(-0.257117\pi\)
\(450\) 5.67187 12.0155i 0.267374 0.566418i
\(451\) −5.11103 + 8.85257i −0.240669 + 0.416851i
\(452\) −8.23144 + 32.6021i −0.387174 + 1.53347i
\(453\) −5.15165 13.4853i −0.242046 0.633596i
\(454\) −18.0888 + 23.9307i −0.848948 + 1.12312i
\(455\) −16.5141 12.5878i −0.774193 0.590125i
\(456\) 15.5684 26.5917i 0.729055 1.24527i
\(457\) 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
\(459\) 15.3322 9.85194i 0.715644 0.459849i
\(460\) 14.4942 14.9204i 0.675797 0.695665i
\(461\) 30.8362i 1.43618i −0.695948 0.718092i \(-0.745015\pi\)
0.695948 0.718092i \(-0.254985\pi\)
\(462\) 18.7084 + 25.2770i 0.870394 + 1.17599i
\(463\) −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
\(465\) −3.08581 + 3.79815i −0.143101 + 0.176135i
\(466\) 14.3459 + 33.9367i 0.664560 + 1.57209i
\(467\) 29.3749 16.9596i 1.35931 0.784797i 0.369778 0.929120i \(-0.379434\pi\)
0.989531 + 0.144323i \(0.0461004\pi\)
\(468\) −0.678367 + 16.4993i −0.0313575 + 0.762682i
\(469\) 1.95606 15.2350i 0.0903225 0.703489i
\(470\) 27.2976 36.1135i 1.25914 1.66579i
\(471\) 6.70275 + 17.5456i 0.308846 + 0.808458i
\(472\) −2.26961 + 1.82123i −0.104467 + 0.0838287i
\(473\) 21.5061 + 12.4166i 0.988852 + 0.570914i
\(474\) 3.82283 13.1779i 0.175589 0.605279i
\(475\) 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 \(-0.533914\pi\)
0.914286 0.405068i \(-0.132752\pi\)
\(480\) 19.9224 + 19.5895i 0.909329 + 0.894133i
\(481\) 2.93154 1.69253i 0.133667 0.0771726i
\(482\) −6.14559 + 8.13034i −0.279924 + 0.370327i
\(483\) 16.2459 3.92776i 0.739216 0.178719i
\(484\) 6.84464 + 24.1402i 0.311120 + 1.09728i
\(485\) 15.8198 + 27.4008i 0.718342 + 1.24421i
\(486\) −20.3605 8.45273i −0.923573 0.383424i
\(487\) 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 \(-0.330248\pi\)
0.508371 + 0.861138i \(0.330248\pi\)
\(492\) −5.84804 + 4.36500i −0.263650 + 0.196789i
\(493\) −6.84678 + 11.8590i −0.308363 + 0.534101i
\(494\) −22.5495 + 9.53222i −1.01455 + 0.428875i
\(495\) 40.6322 8.50009i 1.82628 0.382051i
\(496\) −2.08018 3.37336i −0.0934027 0.151468i
\(497\) 23.8075 9.95092i 1.06791 0.446360i
\(498\) −0.244086 + 0.234256i −0.0109377 + 0.0104973i
\(499\) −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
\(501\) 8.46506 10.4192i 0.378191 0.465494i
\(502\) −11.8065 1.46744i −0.526950 0.0654951i
\(503\) 2.77607 0.123779 0.0618894 0.998083i \(-0.480287\pi\)
0.0618894 + 0.998083i \(0.480287\pi\)
\(504\) 5.14336 + 21.8528i 0.229104 + 0.973402i
\(505\) −20.2919 −0.902978
\(506\) 24.8379 + 3.08712i 1.10418 + 0.137239i
\(507\) −5.92543 + 7.29328i −0.263158 + 0.323906i
\(508\) −30.3225 7.65590i −1.34535 0.339676i
\(509\) −27.2704 + 15.7446i −1.20874 + 0.697866i −0.962484 0.271339i \(-0.912534\pi\)
−0.246255 + 0.969205i \(0.579200\pi\)
\(510\) −17.6755 + 16.9637i −0.782684 + 0.751165i
\(511\) 0.113221 0.881838i 0.00500861 0.0390102i
\(512\) −20.2965 + 10.0025i −0.896989 + 0.442052i
\(513\) −1.55295 32.6461i −0.0685645 1.44136i
\(514\) −39.4128 + 16.6608i −1.73842 + 0.734875i
\(515\) 2.47812 4.29223i 0.109199 0.189138i
\(516\) 10.6042 + 14.2070i 0.466823 + 0.625429i
\(517\) 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 −0.922981 0.384845i \(-0.874255\pi\)
0.794776 + 0.606903i \(0.207588\pi\)
\(522\) 16.5080 1.36609i 0.722536 0.0597922i
\(523\) 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
\(525\) −10.3945 + 9.89558i −0.453652 + 0.431879i
\(526\) 20.5878 27.2367i 0.897670 1.18758i
\(527\) 3.00947 1.73752i 0.131094 0.0756874i
\(528\) −4.34866 + 33.3361i −0.189251 + 1.45077i
\(529\) −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
\(534\) 0.792997 2.73358i 0.0343163 0.118293i
\(535\) 2.62777 + 1.51715i 0.113609 + 0.0655919i
\(536\) 12.8071 10.2769i 0.553183 0.443896i
\(537\) −13.3639 34.9823i −0.576696 1.50960i
\(538\) −17.1418 + 22.6779i −0.739036 + 0.977712i
\(539\) −9.00148 32.7525i −0.387721 1.41075i
\(540\) 29.0455 + 5.88117i 1.24992 + 0.253085i
\(541\) 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
\(543\) −10.2343 + 12.5968i −0.439194 + 0.540579i
\(544\) −8.25130 18.0432i −0.353772 0.773598i
\(545\) −25.8771 −1.10845
\(546\) 7.11038 16.3578i 0.304296 0.700050i
\(547\) 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
\(549\) 5.56053 4.97442i 0.237317 0.212303i
\(550\) −19.7953 + 8.36795i −0.844073 + 0.356811i
\(551\) 12.2787 + 21.2673i 0.523088 + 0.906016i
\(552\) 15.4197 + 9.02762i 0.656308 + 0.384241i
\(553\) −8.98443 + 11.7868i −0.382057 + 0.501225i
\(554\) 11.2326 14.8603i 0.477229 0.631353i
\(555\) −2.16791 5.67487i −0.0920227 0.240885i
\(556\) 0.216859 + 0.0547529i 0.00919685 + 0.00232204i
\(557\) −19.2814 + 33.3964i −0.816980 + 1.41505i 0.0909180 + 0.995858i \(0.471020\pi\)
−0.907898 + 0.419192i \(0.862313\pi\)
\(558\) −3.80134 1.79440i −0.160924 0.0759630i
\(559\) 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 0.691309 0.722559i \(-0.257034\pi\)
−0.280100 + 0.959971i \(0.590368\pi\)
\(564\) 35.7246 + 15.3575i 1.50428 + 0.646669i
\(565\) −23.9716 41.5200i −1.00849 1.74676i
\(566\) −10.4894 7.92875i −0.440902 0.333270i
\(567\) 17.2194 + 16.4466i 0.723148 + 0.690693i
\(568\) 25.7086 + 10.0001i 1.07871 + 0.419595i
\(569\) −26.7497 + 15.4440i −1.12141 + 0.647445i −0.941760 0.336286i \(-0.890829\pi\)
−0.179648 + 0.983731i \(0.557496\pi\)
\(570\) 10.4969 + 42.6624i 0.439667 + 1.78693i
\(571\) 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
\(576\) −12.2510 + 20.6376i −0.510459 + 0.859902i
\(577\) 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
\(579\) −9.21946 24.1335i −0.383148 1.00295i
\(580\) −21.4226 + 6.07409i −0.889524 + 0.252213i
\(581\) 0.337151 0.140921i 0.0139874 0.00584637i
\(582\) −19.6084 + 18.8188i −0.812795 + 0.780064i
\(583\) −4.87263 8.43964i −0.201804 0.349534i
\(584\) 0.741304 0.594852i 0.0306754 0.0246152i
\(585\) −15.6982 17.5478i −0.649040 0.725513i
\(586\) 25.0456 + 3.11294i 1.03462 + 0.128594i
\(587\) 15.2002i 0.627381i 0.949525 + 0.313691i \(0.101565\pi\)
−0.949525 + 0.313691i \(0.898435\pi\)
\(588\) 3.33068 24.0189i 0.137355 0.990522i
\(589\) 6.23194i 0.256783i
\(590\) 0.511756 4.11741i 0.0210687 0.169511i
\(591\) 2.99687 3.68868i 0.123275 0.151732i
\(592\) 4.91769 0.142514i 0.202116 0.00585728i
\(593\) 4.55071 + 7.88206i 0.186875 + 0.323678i 0.944207 0.329353i \(-0.106831\pi\)
−0.757332 + 0.653031i \(0.773497\pi\)
\(594\) 15.4288 + 32.1470i 0.633052 + 1.31901i
\(595\) 24.4148 10.2048i 1.00091 0.418355i
\(596\) 5.99943 + 21.1593i 0.245746 + 0.866717i
\(597\) −37.7075 + 14.4050i −1.54326 + 0.589557i
\(598\) −5.52745 13.0758i −0.226034 0.534707i
\(599\) 37.6136 + 21.7162i 1.53685 + 0.887302i 0.999021 + 0.0442488i \(0.0140894\pi\)
0.537831 + 0.843053i \(0.319244\pi\)
\(600\) −15.3422 0.0929744i −0.626342 0.00379566i
\(601\) 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
\(606\) −4.16446 16.9256i −0.169170 0.687554i
\(607\) 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
\(609\) −17.1629 5.05409i −0.695478 0.204802i
\(610\) −6.04771 + 8.00086i −0.244865 + 0.323945i
\(611\) −15.4473 26.7555i −0.624930 1.08241i
\(612\) −17.7770 11.2618i −0.718592 0.455230i
\(613\) 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 \(-0.900192\pi\)
0.951243 0.308444i \(-0.0998081\pi\)
\(618\) 4.08874 + 1.18613i 0.164473 + 0.0477130i
\(619\) 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
\(621\) 18.9305 0.900509i 0.759655 0.0361362i
\(622\) 9.36592 + 7.07954i 0.375539 + 0.283864i
\(623\) −1.86370 + 2.44502i −0.0746677 + 0.0979575i
\(624\) 17.6078 7.31780i 0.704875 0.292946i
\(625\) 15.4254 + 26.7176i 0.617017 + 1.06871i
\(626\) −14.6848 34.7384i −0.586922 1.38842i
\(627\) −33.3344 + 41.0294i −1.33125 + 1.63856i
\(628\) 15.1119 15.5562i 0.603031 0.620760i
\(629\) 4.31380i 0.172002i
\(630\) −26.9707 17.2390i −1.07454 0.686818i
\(631\) −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
\(633\) 27.4128 + 22.2715i 1.08956 + 0.885215i
\(634\) 37.5405 15.8693i 1.49092 0.630251i
\(635\) 38.6170 22.2955i 1.53247 0.884770i
\(636\) −0.816245 6.90902i −0.0323662 0.273960i
\(637\) −13.5351 + 13.7098i −0.536281 + 0.543203i
\(638\) −21.3735 16.1559i −0.846184 0.639616i
\(639\) 28.6384 5.99103i 1.13292 0.237001i
\(640\) 10.8199 30.3940i 0.427693 1.20143i
\(641\) −7.03036 4.05898i −0.277683 0.160320i 0.354691 0.934984i \(-0.384586\pi\)
−0.632374 + 0.774663i \(0.717919\pi\)
\(642\) −0.726164 + 2.50319i −0.0286594 + 0.0987932i
\(643\) −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 \(0.445069\pi\)
−0.939020 + 0.343863i \(0.888264\pi\)
\(648\) 1.05544 + 25.4340i 0.0414615 + 0.999140i
\(649\) 4.32348 2.49616i 0.169712 0.0979830i
\(650\) 9.72408 + 7.35027i 0.381410 + 0.288301i
\(651\) 3.13065 + 3.28848i 0.122700 + 0.128886i
\(652\) −22.3561 + 6.33877i −0.875531 + 0.248245i
\(653\) −8.53952 14.7909i −0.334177 0.578812i 0.649149 0.760661i \(-0.275125\pi\)
−0.983326 + 0.181849i \(0.941792\pi\)
\(654\) −5.31069 21.5841i −0.207664 0.844007i
\(655\) −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 \(-0.543473\pi\)
−0.136150 + 0.990688i \(0.543473\pi\)
\(660\) −28.6717 38.4132i −1.11605 1.49523i
\(661\) −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
\(663\) 5.96655 + 15.6184i 0.231722 + 0.606570i
\(664\) 0.364074 + 0.141617i 0.0141288 + 0.00549582i
\(665\) 6.04325 47.0686i 0.234347 1.82524i
\(666\) 4.28852 2.97290i 0.166177 0.115198i
\(667\) −12.3322 + 7.12002i −0.477506 + 0.275688i
\(668\) −15.0296 3.79470i −0.581512 0.146821i
\(669\) −15.4145 12.5236i −0.595961 0.484189i
\(670\) −2.88777 + 23.2340i −0.111564 + 0.897607i
\(671\) −12.0677 −0.465869
\(672\) 20.3811 16.0191i 0.786219 0.617948i
\(673\) 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
\(675\) −13.6904 + 8.79702i −0.526945 + 0.338597i
\(676\) 10.5205 + 2.65624i 0.404635 + 0.102163i
\(677\) −8.53140 + 4.92561i −0.327888 + 0.189306i −0.654903 0.755713i \(-0.727291\pi\)
0.327015 + 0.945019i \(0.393957\pi\)
\(678\) 29.7123 28.5158i 1.14110 1.09514i
\(679\) 27.0847 11.3207i 1.03942 0.434450i
\(680\) 26.3644 + 10.2552i 1.01103 + 0.393270i
\(681\) 34.3208 13.1112i 1.31518 0.502422i
\(682\) 2.64736 + 6.26260i 0.101372 + 0.239807i
\(683\) −20.1018 + 34.8173i −0.769173 + 1.33225i 0.168839 + 0.985644i \(0.445998\pi\)
−0.938012 + 0.346603i \(0.887335\pi\)
\(684\) −33.4306 + 17.5110i −1.27825 + 0.669550i
\(685\) −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
\(690\) −24.7386 + 6.08684i −0.941784 + 0.231722i
\(691\) −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
\(693\) −3.02139 38.3961i −0.114773 1.45855i
\(694\) 16.3280 + 12.3420i 0.619801 + 0.468497i
\(695\) −0.276178 + 0.159451i −0.0104760 + 0.00604834i
\(696\) −9.46292 16.6221i −0.358691 0.630058i
\(697\) −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 \(-0.310802\pi\)
0.559997 + 0.828495i \(0.310802\pi\)
\(702\) 11.4150 16.6952i 0.430831 0.630120i
\(703\) 6.69969 + 3.86807i 0.252684 + 0.145887i
\(704\) 37.0247 11.6667i 1.39542 0.439705i
\(705\) −51.7932 + 19.7860i −1.95064 + 0.745184i
\(706\) −4.64945 3.51444i −0.174984 0.132268i
\(707\) −2.39755 + 18.6736i −0.0901692 + 0.702295i
\(708\) 3.53937 0.418148i 0.133018 0.0157150i
\(709\) 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
\(711\) −12.5246 + 11.2044i −0.469709 + 0.420199i
\(712\) −3.24839 + 0.499683i −0.121738 + 0.0187264i
\(713\) 3.61371 0.135335
\(714\) 13.5224 + 18.2702i 0.506065 + 0.683745i
\(715\) 38.0831i 1.42423i
\(716\) −30.1301 + 31.0159i −1.12601 + 1.15912i
\(717\) 11.1963 + 9.09648i 0.418135 + 0.339714i
\(718\) 6.25524 + 14.7974i 0.233443 + 0.552235i
\(719\) 8.51080 + 14.7411i 0.317399 + 0.549752i 0.979945 0.199270i \(-0.0638572\pi\)
−0.662545 + 0.749022i \(0.730524\pi\)
\(720\) −7.97421 33.2774i −0.297181 1.24018i
\(721\) −3.65713 2.78763i −0.136199 0.103817i
\(722\) −23.1979 17.5349i −0.863335 0.652580i
\(723\) 11.6604 4.45448i 0.433653 0.165664i
\(724\) 18.1708 + 4.58779i 0.675311 + 0.170504i
\(725\) 6.11364 10.5891i 0.227055 0.393271i
\(726\) 8.56195 29.5143i 0.317764 1.09538i
\(727\) 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
\(732\) −7.91470 3.40242i −0.292536 0.125757i
\(733\) 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
\(735\) 20.4563 + 27.8731i 0.754541 + 1.02812i
\(736\) 1.95064 20.5398i 0.0719017 0.757107i
\(737\) −24.3968 + 14.0855i −0.898669 + 0.518847i
\(738\) 8.90707 0.737089i 0.327874 0.0271326i
\(739\) −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 \(-0.903096\pi\)
0.954017 0.299751i \(-0.0969036\pi\)
\(744\) −0.0294142 + 4.85378i −0.00107838 + 0.177948i
\(745\) −27.1572 15.6792i −0.994962 0.574441i
\(746\) −17.2483 40.8028i −0.631507 1.49390i
\(747\) 0.405564 0.0848424i 0.0148388 0.00310422i
\(748\) 9.28501 + 32.7471i 0.339494 + 1.19735i
\(749\) 1.70663 2.23895i 0.0623590 0.0818096i
\(750\) −9.41512 + 9.03598i −0.343792 + 0.329947i
\(751\) 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
\(753\) 11.3092 + 9.18817i 0.412130 + 0.334836i
\(754\) −1.87434 + 15.0802i −0.0682593 + 0.549190i
\(755\) 23.7670i 0.864969i
\(756\) 8.84397 26.0343i 0.321652 0.946858i
\(757\) 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
\(759\) −23.7917 19.3296i −0.863583 0.701620i
\(760\) 39.5675 31.7506i 1.43527 1.15171i
\(761\) −15.5050 26.8554i −0.562055 0.973507i −0.997317 0.0732037i \(-0.976678\pi\)
0.435262 0.900304i \(-0.356656\pi\)
\(762\) 26.5220 + 27.6349i 0.960792 + 1.00111i
\(763\) −3.05745 + 23.8134i −0.110687 + 0.862102i
\(764\) 17.1226 4.85489i 0.619474 0.175644i
\(765\) 29.3690 6.14387i 1.06184 0.222132i
\(766\) 33.0084 13.9535i 1.19264 0.504160i
\(767\) −2.45221 1.41578i −0.0885442 0.0511210i
\(768\) 27.5723 + 2.78721i 0.994930 + 0.100575i
\(769\) 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
\(773\) 2.88336