Properties

Label 168.2.ba.c.101.21
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 101.21
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.21

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30261 + 0.550645i) q^{2} +(-0.618109 + 1.61801i) q^{3} +(1.39358 + 1.43455i) q^{4} +(2.46958 - 1.42581i) q^{5} +(-1.69610 + 1.76727i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(1.02536 + 2.63603i) q^{8} +(-2.23588 - 2.00021i) q^{9} +O(q^{10})\) \(q+(1.30261 + 0.550645i) q^{2} +(-0.618109 + 1.61801i) q^{3} +(1.39358 + 1.43455i) 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} +(-2.23588 - 2.00021i) q^{9} +(4.00201 - 0.497414i) q^{10} +(-2.42621 + 4.20231i) q^{11} +(-3.18249 + 1.36811i) q^{12} -2.75221 q^{13} +(0.0151045 - 3.74163i) q^{14} +(0.780502 + 4.87710i) q^{15} +(-0.115871 + 3.99832i) q^{16} +(1.75366 - 3.03743i) q^{17} +(-1.81107 - 3.83667i) 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} +(-4.89889 + 0.0296875i) q^{24} +(1.56588 - 2.71219i) q^{25} +(-3.58505 - 1.51549i) q^{26} +(4.61837 - 2.38132i) q^{27} +(2.07998 - 4.86556i) q^{28} +3.90427 q^{29} +(-1.66886 + 6.78274i) q^{30} +(-0.858051 - 0.495396i) q^{31} +(-2.35259 + 5.14445i) q^{32} +(-5.29970 - 6.52310i) 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} +(-1.09715 - 8.82727i) q^{38} +(1.70117 - 4.45309i) q^{39} +(6.29069 + 5.04791i) q^{40} -2.10659 q^{41} +(6.04464 + 2.33717i) q^{42} +5.11768i q^{43} +(-9.40954 + 2.37574i) q^{44} +(-8.37361 - 1.75172i) q^{45} +(5.11867 - 0.636204i) 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} +(3.83063 + 4.71490i) q^{51} +(-3.83543 - 3.94819i) q^{52} +(-1.00417 + 1.73927i) q^{53} +(7.32719 - 0.558850i) q^{54} +13.8373i q^{55} +(5.38860 - 5.19259i) q^{56} +(10.7575 - 1.72156i) q^{57} +(5.08574 + 2.14987i) q^{58} +(-0.890996 - 0.514417i) q^{59} +(-5.90876 + 7.91630i) 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} +(-3.31153 - 11.4153i) q^{66} +(-5.02777 - 2.90279i) q^{67} +(6.80122 - 1.71719i) q^{68} +(0.998281 + 6.23793i) q^{69} +(-5.29756 - 9.26178i) q^{70} -9.75277i q^{71} +(2.98001 - 7.94478i) q^{72} +(0.291019 + 0.168020i) q^{73} +(-1.72612 + 0.214540i) q^{74} +(3.42045 + 4.21004i) 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} +(5.41471 + 10.0394i) q^{80} +(0.998337 + 8.94446i) q^{81} +(-2.74407 - 1.15999i) q^{82} +0.138115i q^{83} +(6.58684 + 6.37287i) q^{84} -10.0016i q^{85} +(-2.81803 + 6.66634i) q^{86} +(-2.41327 + 6.31714i) q^{87} +(-13.5651 - 2.08666i) 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} +(1.33192 - 1.08212i) q^{93} +(1.95806 + 15.7538i) q^{94} +(-15.5333 - 8.96815i) q^{95} +(-6.86958 - 6.98633i) q^{96} +11.0953i q^{97} +(-9.14908 + 3.78077i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30261 + 0.550645i 0.921084 + 0.389365i
\(3\) −0.618109 + 1.61801i −0.356866 + 0.934156i
\(4\) 1.39358 + 1.43455i 0.696790 + 0.717275i
\(5\) 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
\(9\) −2.23588 2.00021i −0.745294 0.666736i
\(10\) 4.00201 0.497414i 1.26555 0.157296i
\(11\) −2.42621 + 4.20231i −0.731529 + 1.26705i 0.224701 + 0.974428i \(0.427860\pi\)
−0.956230 + 0.292617i \(0.905474\pi\)
\(12\) −3.18249 + 1.36811i −0.918707 + 0.394939i
\(13\) −2.75221 −0.763326 −0.381663 0.924302i \(-0.624649\pi\)
−0.381663 + 0.924302i \(0.624649\pi\)
\(14\) 0.0151045 3.74163i 0.00403685 0.999992i
\(15\) 0.780502 + 4.87710i 0.201525 + 1.25926i
\(16\) −0.115871 + 3.99832i −0.0289677 + 0.999580i
\(17\) 1.75366 3.03743i 0.425326 0.736686i −0.571125 0.820863i \(-0.693493\pi\)
0.996451 + 0.0841773i \(0.0268262\pi\)
\(18\) −1.81107 3.83667i −0.426874 0.904311i
\(19\) −3.14493 5.44717i −0.721496 1.24967i −0.960400 0.278624i \(-0.910122\pi\)
0.238905 0.971043i \(-0.423212\pi\)
\(20\) 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 \(0.209169\pi\)
\(24\) −4.89889 + 0.0296875i −0.999982 + 0.00605994i
\(25\) 1.56588 2.71219i 0.313177 0.542438i
\(26\) −3.58505 1.51549i −0.703087 0.297212i
\(27\) 4.61837 2.38132i 0.888805 0.458286i
\(28\) 2.07998 4.86556i 0.393080 0.919504i
\(29\) 3.90427 0.725005 0.362503 0.931983i \(-0.381922\pi\)
0.362503 + 0.931983i \(0.381922\pi\)
\(30\) −1.66886 + 6.78274i −0.304691 + 1.23835i
\(31\) −0.858051 0.495396i −0.154111 0.0889758i 0.420962 0.907078i \(-0.361693\pi\)
−0.575072 + 0.818103i \(0.695026\pi\)
\(32\) −2.35259 + 5.14445i −0.415883 + 0.909418i
\(33\) −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
\(36\) −0.246481 5.99494i −0.0410801 0.999156i
\(37\) −1.06516 + 0.614970i −0.175111 + 0.101100i −0.584994 0.811038i \(-0.698903\pi\)
0.409883 + 0.912138i \(0.365570\pi\)
\(38\) −1.09715 8.82727i −0.177981 1.43197i
\(39\) 1.70117 4.45309i 0.272405 0.713065i
\(40\) 6.29069 + 5.04791i 0.994646 + 0.798144i
\(41\) −2.10659 −0.328995 −0.164497 0.986378i \(-0.552600\pi\)
−0.164497 + 0.986378i \(0.552600\pi\)
\(42\) 6.04464 + 2.33717i 0.932708 + 0.360634i
\(43\) 5.11768i 0.780439i 0.920722 + 0.390220i \(0.127601\pi\)
−0.920722 + 0.390220i \(0.872399\pi\)
\(44\) −9.40954 + 2.37574i −1.41854 + 0.358157i
\(45\) −8.37361 1.75172i −1.24826 0.261132i
\(46\) 5.11867 0.636204i 0.754706 0.0938032i
\(47\) 5.61268 + 9.72145i 0.818693 + 1.41802i 0.906645 + 0.421894i \(0.138635\pi\)
−0.0879518 + 0.996125i \(0.528032\pi\)
\(48\) −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
\(51\) 3.83063 + 4.71490i 0.536395 + 0.660218i
\(52\) −3.83543 3.94819i −0.531878 0.547515i
\(53\) −1.00417 + 1.73927i −0.137933 + 0.238907i −0.926714 0.375767i \(-0.877379\pi\)
0.788781 + 0.614674i \(0.210712\pi\)
\(54\) 7.32719 0.558850i 0.997104 0.0760499i
\(55\) 13.8373i 1.86582i
\(56\) 5.38860 5.19259i 0.720082 0.693889i
\(57\) 10.7575 1.72156i 1.42486 0.228026i
\(58\) 5.08574 + 2.14987i 0.667791 + 0.282292i
\(59\) −0.890996 0.514417i −0.115998 0.0669714i 0.440879 0.897567i \(-0.354667\pi\)
−0.556876 + 0.830595i \(0.688000\pi\)
\(60\) −5.90876 + 7.91630i −0.762817 + 1.02199i
\(61\) −1.24347 2.15376i −0.159211 0.275761i 0.775374 0.631503i \(-0.217562\pi\)
−0.934584 + 0.355742i \(0.884228\pi\)
\(62\) −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
\(66\) −3.31153 11.4153i −0.407621 1.40513i
\(67\) −5.02777 2.90279i −0.614240 0.354632i 0.160383 0.987055i \(-0.448727\pi\)
−0.774623 + 0.632423i \(0.782060\pi\)
\(68\) 6.80122 1.71719i 0.824769 0.208240i
\(69\) 0.998281 + 6.23793i 0.120179 + 0.750958i
\(70\) −5.29756 9.26178i −0.633179 1.10699i
\(71\) 9.75277i 1.15744i −0.815526 0.578720i \(-0.803552\pi\)
0.815526 0.578720i \(-0.196448\pi\)
\(72\) 2.98001 7.94478i 0.351198 0.936301i
\(73\) 0.291019 + 0.168020i 0.0340612 + 0.0196652i 0.516934 0.856025i \(-0.327073\pi\)
−0.482873 + 0.875691i \(0.660407\pi\)
\(74\) −1.72612 + 0.214540i −0.200657 + 0.0249398i
\(75\) 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
\(78\) 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 \(0.935377\pi\)
\(80\) 5.41471 + 10.0394i 0.605383 + 1.12244i
\(81\) 0.998337 + 8.94446i 0.110926 + 0.993829i
\(82\) −2.74407 1.15999i −0.303032 0.128099i
\(83\) 0.138115i 0.0151600i 0.999971 + 0.00758002i \(0.00241282\pi\)
−0.999971 + 0.00758002i \(0.997587\pi\)
\(84\) 6.58684 + 6.37287i 0.718683 + 0.695337i
\(85\) 10.0016i 1.08482i
\(86\) −2.81803 + 6.66634i −0.303876 + 0.718850i
\(87\) −2.41327 + 6.31714i −0.258729 + 0.677268i
\(88\) −13.5651 2.08666i −1.44605 0.222438i
\(89\) 0.580993 + 1.00631i 0.0615852 + 0.106669i 0.895174 0.445717i \(-0.147051\pi\)
−0.833589 + 0.552385i \(0.813718\pi\)
\(90\) −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
\(93\) 1.33192 1.08212i 0.138114 0.112211i
\(94\) 1.95806 + 15.7538i 0.201958 + 1.62488i
\(95\) −15.5333 8.96815i −1.59368 0.920113i
\(96\) −6.86958 6.98633i −0.701124 0.713040i
\(97\) 11.0953i 1.12656i 0.826266 + 0.563280i \(0.190461\pi\)
−0.826266 + 0.563280i \(0.809539\pi\)
\(98\) −9.14908 + 3.78077i −0.924197 + 0.381916i
\(99\) 13.8302 4.54296i 1.38999 0.456585i
\(100\) 6.07296 1.53331i 0.607296 0.153331i
\(101\) −6.16256 3.55796i −0.613198 0.354030i 0.161018 0.986951i \(-0.448522\pi\)
−0.774216 + 0.632922i \(0.781856\pi\)
\(102\) 2.39357 + 8.25099i 0.236999 + 0.816970i
\(103\) 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 0.890596 0.454796i \(-0.150288\pi\)
−0.839163 + 0.543881i \(0.816954\pi\)
\(108\) 9.85219 + 3.30672i 0.948027 + 0.318189i
\(109\) 7.85874 + 4.53725i 0.752731 + 0.434589i 0.826680 0.562673i \(-0.190227\pi\)
−0.0739489 + 0.997262i \(0.523560\pi\)
\(110\) −7.61942 + 18.0245i −0.726484 + 1.71857i
\(111\) −0.336640 2.10355i −0.0319524 0.199660i
\(112\) 9.87851 3.79670i 0.933432 0.358755i
\(113\) 16.8126i 1.58159i 0.612078 + 0.790797i \(0.290334\pi\)
−0.612078 + 0.790797i \(0.709666\pi\)
\(114\) 14.9607 + 3.68103i 1.40120 + 0.344760i
\(115\) 5.20036 9.00729i 0.484936 0.839934i
\(116\) 5.44092 + 5.60088i 0.505176 + 0.520028i
\(117\) 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
\(120\) −12.0559 + 7.05821i −1.10055 + 0.644324i
\(121\) −6.27296 10.8651i −0.570269 0.987735i
\(122\) −0.433803 3.49022i −0.0392747 0.315990i
\(123\) 1.30211 3.40848i 0.117407 0.307332i
\(124\) −0.485092 1.92129i −0.0435626 0.172537i
\(125\) 5.32750i 0.476506i
\(126\) −7.51780 + 8.33562i −0.669739 + 0.742596i
\(127\) 15.6371 1.38756 0.693782 0.720185i \(-0.255943\pi\)
0.693782 + 0.720185i \(0.255943\pi\)
\(128\) −10.6585 + 3.79429i −0.942086 + 0.335371i
\(129\) −8.28044 3.16329i −0.729052 0.278512i
\(130\) −11.0144 + 1.36899i −0.966026 + 0.120068i
\(131\) −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
\(135\) 8.01011 12.4658i 0.689400 1.07288i
\(136\) 9.80489 + 1.50824i 0.840763 + 0.129330i
\(137\) 17.0704 + 9.85557i 1.45842 + 0.842019i 0.998934 0.0461669i \(-0.0147006\pi\)
0.459485 + 0.888185i \(0.348034\pi\)
\(138\) −2.13451 + 8.67528i −0.181702 + 0.738489i
\(139\) 0.111832 0.00948546 0.00474273 0.999989i \(-0.498490\pi\)
0.00474273 + 0.999989i \(0.498490\pi\)
\(140\) −1.80069 14.9816i −0.152186 1.26617i
\(141\) −19.1986 + 3.07243i −1.61681 + 0.258745i
\(142\) 5.37032 12.7040i 0.450667 1.06610i
\(143\) 6.67743 11.5657i 0.558395 0.967169i
\(144\) 8.25655 8.70801i 0.688046 0.725667i
\(145\) 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 0.547972 0.836497i \(-0.315400\pi\)
−0.998413 + 0.0563094i \(0.982067\pi\)
\(150\) 2.13727 + 7.36749i 0.174508 + 0.601553i
\(151\) 4.16727 7.21792i 0.339127 0.587386i −0.645141 0.764063i \(-0.723202\pi\)
0.984269 + 0.176677i \(0.0565349\pi\)
\(152\) 11.1342 13.8754i 0.903103 1.12545i
\(153\) −9.99648 + 3.28365i −0.808168 + 0.265468i
\(154\) 15.6868 + 9.14143i 1.26408 + 0.736638i
\(155\) −2.82537 −0.226939
\(156\) 8.75890 3.76533i 0.701273 0.301468i
\(157\) 5.42198 9.39114i 0.432721 0.749495i −0.564386 0.825511i \(-0.690887\pi\)
0.997107 + 0.0760165i \(0.0242202\pi\)
\(158\) −0.977103 7.86142i −0.0777342 0.625421i
\(159\) −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
\(162\) −3.62478 + 12.2009i −0.284790 + 0.958590i
\(163\) −10.0621 + 5.80934i −0.788122 + 0.455022i −0.839301 0.543667i \(-0.817035\pi\)
0.0511792 + 0.998689i \(0.483702\pi\)
\(164\) −2.93571 3.02202i −0.229240 0.235980i
\(165\) −22.3888 8.55294i −1.74296 0.665846i
\(166\) −0.0760521 + 0.179909i −0.00590279 + 0.0139637i
\(167\) −7.75061 −0.599761 −0.299880 0.953977i \(-0.596947\pi\)
−0.299880 + 0.953977i \(0.596947\pi\)
\(168\) 5.07089 + 11.9284i 0.391228 + 0.920294i
\(169\) −5.42533 −0.417333
\(170\) 5.50732 13.0281i 0.422392 0.999213i
\(171\) −3.86379 + 18.4697i −0.295472 + 1.41242i
\(172\) −7.34158 + 7.13190i −0.559790 + 0.543802i
\(173\) −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
\(177\) 1.38306 1.12367i 0.103957 0.0844603i
\(178\) 0.202687 + 1.63075i 0.0151921 + 0.122230i
\(179\) 10.8103 18.7240i 0.808002 1.39950i −0.106244 0.994340i \(-0.533883\pi\)
0.914246 0.405160i \(-0.132784\pi\)
\(180\) −9.15636 14.4535i −0.682475 1.07730i
\(181\) 9.37049 0.696503 0.348251 0.937401i \(-0.386776\pi\)
0.348251 + 0.937401i \(0.386776\pi\)
\(182\) −0.0415708 + 10.2977i −0.00308144 + 0.763320i
\(183\) 4.25340 0.680689i 0.314420 0.0503180i
\(184\) 8.04594 + 6.45639i 0.593155 + 0.475971i
\(185\) −1.75366 + 3.03743i −0.128932 + 0.223317i
\(186\) 2.33084 0.676166i 0.170905 0.0495789i
\(187\) 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 \(0.228996\pi\)
\(192\) −5.10139 12.8832i −0.368161 0.929762i
\(193\) 7.45779 12.9173i 0.536824 0.929806i −0.462249 0.886750i \(-0.652957\pi\)
0.999073 0.0430556i \(-0.0137093\pi\)
\(194\) −6.10958 + 14.4529i −0.438643 + 1.03766i
\(195\) −2.14811 13.4228i −0.153829 0.961228i
\(196\) −13.9995 0.113031i −0.999967 0.00807364i
\(197\) 2.74394 0.195497 0.0977487 0.995211i \(-0.468836\pi\)
0.0977487 + 0.995211i \(0.468836\pi\)
\(198\) 20.5169 + 1.69784i 1.45807 + 0.120660i
\(199\) −20.1826 11.6525i −1.43071 0.826021i −0.433535 0.901137i \(-0.642734\pi\)
−0.997175 + 0.0751162i \(0.976067\pi\)
\(200\) 8.75500 + 1.34674i 0.619072 + 0.0952287i
\(201\) 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
\(204\) −1.42548 + 12.0658i −0.0998035 + 0.844776i
\(205\) −5.20240 + 3.00361i −0.363352 + 0.209781i
\(206\) 2.43919 0.303170i 0.169947 0.0211228i
\(207\) −10.7100 2.24050i −0.744399 0.155725i
\(208\) 0.318901 11.0042i 0.0221118 0.763006i
\(209\) 30.5210 2.11118
\(210\) 18.2601 2.84668i 1.26007 0.196440i
\(211\) 20.3918i 1.40383i −0.712259 0.701916i \(-0.752328\pi\)
0.712259 0.701916i \(-0.247672\pi\)
\(212\) −3.89445 + 0.983280i −0.267472 + 0.0675320i
\(213\) 15.7800 + 6.02828i 1.08123 + 0.413051i
\(214\) 0.185605 + 1.49331i 0.0126877 + 0.102081i
\(215\) 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
\(219\) −0.451738 + 0.367015i −0.0305256 + 0.0248006i
\(220\) −19.8503 + 19.2833i −1.33830 + 1.30008i
\(221\) −4.82645 + 8.35966i −0.324662 + 0.562332i
\(222\) 0.719800 2.92547i 0.0483098 0.196345i
\(223\) 11.4666i 0.767860i −0.923362 0.383930i \(-0.874570\pi\)
0.923362 0.383930i \(-0.125430\pi\)
\(224\) 14.9585 + 0.493938i 0.999455 + 0.0330026i
\(225\) −8.92608 + 2.93204i −0.595072 + 0.195470i
\(226\) −9.25776 + 21.9002i −0.615817 + 1.45678i
\(227\) 18.3699 + 10.6059i 1.21926 + 0.703938i 0.964759 0.263136i \(-0.0847567\pi\)
0.254497 + 0.967073i \(0.418090\pi\)
\(228\) 17.4610 + 13.0330i 1.15639 + 0.863131i
\(229\) −1.13465 1.96528i −0.0749800 0.129869i 0.826098 0.563527i \(-0.190556\pi\)
−0.901078 + 0.433658i \(0.857223\pi\)
\(230\) 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 \(0.658790\pi\)
\(234\) 4.98446 + 10.5593i 0.325844 + 0.690284i
\(235\) 27.7219 + 16.0053i 1.80838 + 1.04407i
\(236\) −0.503717 1.99506i −0.0327892 0.129867i
\(237\) 9.58042 1.53319i 0.622315 0.0995916i
\(238\) −11.3385 6.60743i −0.734963 0.428296i
\(239\) 8.32874i 0.538742i −0.963037 0.269371i \(-0.913184\pi\)
0.963037 0.269371i \(-0.0868157\pi\)
\(240\) −19.5907 + 2.55559i −1.26457 + 0.164962i
\(241\) 6.24112 + 3.60331i 0.402026 + 0.232110i 0.687358 0.726319i \(-0.258771\pi\)
−0.285332 + 0.958429i \(0.592104\pi\)
\(242\) −2.18841 17.6071i −0.140676 1.13183i
\(243\) −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
\(246\) 3.57300 3.72292i 0.227806 0.237365i
\(247\) 8.65550 + 14.9918i 0.550736 + 0.953904i
\(248\) 0.426065 2.76981i 0.0270551 0.175883i
\(249\) −0.223470 0.0853699i −0.0141618 0.00541010i
\(250\) −2.93356 + 6.93965i −0.185535 + 0.438902i
\(251\) 8.41270i 0.531005i 0.964110 + 0.265502i \(0.0855378\pi\)
−0.964110 + 0.265502i \(0.914462\pi\)
\(252\) −14.3827 + 6.71842i −0.906027 + 0.423220i
\(253\) 17.6982i 1.11268i
\(254\) 20.3690 + 8.61047i 1.27806 + 0.540269i
\(255\) 16.1826 + 6.18207i 1.01339 + 0.387136i
\(256\) −15.9731 0.926576i −0.998322 0.0579110i
\(257\) −15.1284 26.2032i −0.943685 1.63451i −0.758364 0.651832i \(-0.774001\pi\)
−0.185321 0.982678i \(-0.559332\pi\)
\(258\) −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
\(261\) −8.72950 7.80936i −0.540342 0.483387i
\(262\) −14.1514 + 1.75889i −0.874276 + 0.108665i
\(263\) 20.9078 + 12.0711i 1.28923 + 0.744338i 0.978517 0.206166i \(-0.0660986\pi\)
0.310714 + 0.950504i \(0.399432\pi\)
\(264\) 11.7610 20.6587i 0.723837 1.27145i
\(265\) 5.72701i 0.351808i
\(266\) −20.4288 + 11.6849i −1.25257 + 0.716445i
\(267\) −1.98733 + 0.318041i −0.121623 + 0.0194638i
\(268\) −2.84241 11.2579i −0.173628 0.687683i
\(269\) 17.4083 + 10.0507i 1.06140 + 0.612800i 0.925819 0.377966i \(-0.123377\pi\)
0.135581 + 0.990766i \(0.456710\pi\)
\(270\) 17.2983 11.8273i 1.05274 0.719788i
\(271\) −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
\(276\) −7.55744 + 10.1251i −0.454904 + 0.609461i
\(277\) 11.4072 + 6.58598i 0.685395 + 0.395713i 0.801885 0.597479i \(-0.203831\pi\)
−0.116490 + 0.993192i \(0.537164\pi\)
\(278\) 0.145673 + 0.0615797i 0.00873690 + 0.00369331i
\(279\) 0.927606 + 2.82393i 0.0555343 + 0.169064i
\(280\) 5.90393 20.5066i 0.352827 1.22551i
\(281\) 15.3821i 0.917618i −0.888535 0.458809i \(-0.848276\pi\)
0.888535 0.458809i \(-0.151724\pi\)
\(282\) −26.7001 6.56944i −1.58997 0.391205i
\(283\) 4.64882 8.05200i 0.276344 0.478641i −0.694129 0.719850i \(-0.744210\pi\)
0.970473 + 0.241209i \(0.0775438\pi\)
\(284\) 13.9908 13.5913i 0.830204 0.806493i
\(285\) 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
\(288\) 15.5501 6.79670i 0.916297 0.400500i
\(289\) 2.34933 + 4.06916i 0.138196 + 0.239362i
\(290\) 15.6250 1.94204i 0.917529 0.114041i
\(291\) −17.9523 6.85812i −1.05238 0.402030i
\(292\) 0.164525 + 0.651630i 0.00962810 + 0.0381338i
\(293\) 17.8462i 1.04258i −0.853378 0.521292i \(-0.825450\pi\)
0.853378 0.521292i \(-0.174550\pi\)
\(294\) −0.462177 17.1402i −0.0269547 0.999637i
\(295\) −2.93385 −0.170815
\(296\) −2.71325 2.17722i −0.157704 0.126548i
\(297\) −1.19805 + 25.1854i −0.0695179 + 1.46141i
\(298\) −1.91817 15.4329i −0.111117 0.894004i
\(299\) −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
\(303\) 9.56593 7.77185i 0.549548 0.446481i
\(304\) 22.1440 11.9433i 1.27004 0.684993i
\(305\) −6.14172 3.54592i −0.351674 0.203039i
\(306\) −14.8296 1.22720i −0.847754 0.0701544i
\(307\) −17.6654 −1.00822 −0.504110 0.863640i \(-0.668179\pi\)
−0.504110 + 0.863640i \(0.668179\pi\)
\(308\) 15.4001 + 20.5456i 0.877504 + 1.17069i
\(309\) 0.475709 + 2.97255i 0.0270622 + 0.169103i
\(310\) −3.68035 1.55578i −0.209030 0.0883621i
\(311\) −4.15091 + 7.18958i −0.235376 + 0.407684i −0.959382 0.282110i \(-0.908966\pi\)
0.724006 + 0.689794i \(0.242299\pi\)
\(312\) 13.4828 0.0817063i 0.763312 0.00462571i
\(313\) −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 \(-0.866496\pi\)
0.103996 0.994578i \(-0.466837\pi\)
\(318\) −1.37059 4.72461i −0.0768586 0.264943i
\(319\) −9.47258 + 16.4070i −0.530362 + 0.918615i
\(320\) −6.85618 + 21.7584i −0.383272 + 1.21633i
\(321\) −1.81984 + 0.291237i −0.101574 + 0.0162553i
\(322\) −6.77570 11.8460i −0.377595 0.660154i
\(323\) −22.0606 −1.22748
\(324\) −11.4400 + 13.8970i −0.635556 + 0.772054i
\(325\) −4.30964 + 7.46452i −0.239056 + 0.414057i
\(326\) −16.3058 + 2.02666i −0.903096 + 0.112247i
\(327\) −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
\(330\) −24.4542 23.4694i −1.34616 1.29195i
\(331\) −2.24514 + 1.29623i −0.123404 + 0.0712472i −0.560431 0.828201i \(-0.689365\pi\)
0.437027 + 0.899448i \(0.356031\pi\)
\(332\) −0.198132 + 0.192474i −0.0108739 + 0.0105634i
\(333\) 3.61164 + 0.755539i 0.197916 + 0.0414033i
\(334\) −10.0960 4.26784i −0.552430 0.233526i
\(335\) −16.5553 −0.904513
\(336\) 0.0370842 + 18.3303i 0.00202311 + 0.999998i
\(337\) 11.1713 0.608541 0.304271 0.952586i \(-0.401587\pi\)
0.304271 + 0.952586i \(0.401587\pi\)
\(338\) −7.06709 2.98743i −0.384399 0.162495i
\(339\) −27.2028 10.3920i −1.47746 0.564416i
\(340\) 14.3478 13.9380i 0.778117 0.755894i
\(341\) 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
\(345\) 11.3594 + 13.9817i 0.611572 + 0.752749i
\(346\) −1.42685 + 0.177345i −0.0767079 + 0.00953410i
\(347\) 7.23643 12.5339i 0.388472 0.672853i −0.603772 0.797157i \(-0.706336\pi\)
0.992244 + 0.124304i \(0.0396697\pi\)
\(348\) −12.4253 + 5.34148i −0.666068 + 0.286333i
\(349\) −22.8018 −1.22055 −0.610275 0.792189i \(-0.708941\pi\)
−0.610275 + 0.792189i \(0.708941\pi\)
\(350\) −10.1244 5.89992i −0.541169 0.315364i
\(351\) −12.7107 + 6.55390i −0.678448 + 0.349821i
\(352\) −15.9107 22.3678i −0.848043 1.19221i
\(353\) 2.06060 3.56907i 0.109675 0.189962i −0.805964 0.591965i \(-0.798352\pi\)
0.915639 + 0.402003i \(0.131686\pi\)
\(354\) 2.42033 0.702127i 0.128639 0.0373176i
\(355\) −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 \(0.430245\pi\)
\(360\) −3.96838 23.8692i −0.209152 1.25802i
\(361\) −10.2811 + 17.8074i −0.541112 + 0.937234i
\(362\) 12.2061 + 5.15981i 0.641537 + 0.271194i
\(363\) 21.4571 3.43387i 1.12621 0.180232i
\(364\) −5.72456 + 13.3910i −0.300048 + 0.701882i
\(365\) 0.958259 0.0501576
\(366\) 5.91533 + 1.45544i 0.309200 + 0.0760772i
\(367\) 24.2527 + 14.0023i 1.26598 + 0.730914i 0.974225 0.225580i \(-0.0724275\pi\)
0.291755 + 0.956493i \(0.405761\pi\)
\(368\) 6.92553 + 12.8406i 0.361018 + 0.669363i
\(369\) 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
\(372\) 3.40850 + 0.402687i 0.176723 + 0.0208783i
\(373\) 27.1273 15.6619i 1.40460 0.810944i 0.409737 0.912204i \(-0.365621\pi\)
0.994860 + 0.101259i \(0.0322872\pi\)
\(374\) 2.96865 + 23.8847i 0.153505 + 1.23505i
\(375\) −8.61992 3.29298i −0.445131 0.170049i
\(376\) −19.8710 + 24.7632i −1.02477 + 1.27706i
\(377\) −10.7454 −0.553416
\(378\) −8.84026 17.3162i −0.454694 0.890648i
\(379\) 28.8128i 1.48001i 0.672600 + 0.740006i \(0.265178\pi\)
−0.672600 + 0.740006i \(0.734822\pi\)
\(380\) −8.78162 34.7811i −0.450488 1.78423i
\(381\) −9.66541 + 25.3008i −0.495174 + 1.29620i
\(382\) 12.4887 1.55223i 0.638977 0.0794190i
\(383\) 12.6701 + 21.9453i 0.647413 + 1.12135i 0.983738 + 0.179607i \(0.0574826\pi\)
−0.336325 + 0.941746i \(0.609184\pi\)
\(384\) 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
\(387\) 10.2364 11.4425i 0.520347 0.581657i
\(388\) −15.9168 + 15.4622i −0.808053 + 0.784975i
\(389\) −2.20886 + 3.82586i −0.111994 + 0.193979i −0.916574 0.399865i \(-0.869057\pi\)
0.804580 + 0.593844i \(0.202390\pi\)
\(390\) 4.59306 18.6675i 0.232579 0.945267i
\(391\) 12.7923i 0.646932i
\(392\) −18.1737 7.85602i −0.917910 0.396789i
\(393\) −2.75991 17.2458i −0.139219 0.869934i
\(394\) 3.57427 + 1.51093i 0.180069 + 0.0761198i
\(395\) −13.8337 7.98689i −0.696049 0.401864i
\(396\) 25.7906 + 13.5092i 1.29603 + 0.678861i
\(397\) −8.01775 13.8871i −0.402399 0.696976i 0.591616 0.806220i \(-0.298490\pi\)
−0.994015 + 0.109244i \(0.965157\pi\)
\(398\) −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 \(0.272994\pi\)
\(402\) 13.6576 3.96201i 0.681180 0.197607i
\(403\) 2.36154 + 1.36343i 0.117637 + 0.0679175i
\(404\) −3.48395 13.7988i −0.173333 0.686516i
\(405\) 15.2186 + 20.6656i 0.756218 + 1.02688i
\(406\) 0.0589722 14.6083i 0.00292674 0.725000i
\(407\) 5.96817i 0.295831i
\(408\) −8.50083 + 14.9321i −0.420854 + 0.739250i
\(409\) −24.3612 14.0650i −1.20458 0.695467i −0.243013 0.970023i \(-0.578136\pi\)
−0.961571 + 0.274556i \(0.911469\pi\)
\(410\) −8.43062 + 1.04785i −0.416359 + 0.0517496i
\(411\) −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
\(414\) −12.7173 8.81592i −0.625020 0.433279i
\(415\) 0.196926 + 0.341085i 0.00966670 + 0.0167432i
\(416\) 6.47483 14.1586i 0.317454 0.694183i
\(417\) −0.0691243 + 0.180945i −0.00338503 + 0.00886090i
\(418\) 39.7569 + 16.8062i 1.94457 + 0.822019i
\(419\) 19.5661i 0.955866i 0.878396 + 0.477933i \(0.158614\pi\)
−0.878396 + 0.477933i \(0.841386\pi\)
\(420\) 25.3533 + 6.34671i 1.23711 + 0.309688i
\(421\) 26.0983i 1.27195i −0.771708 0.635977i \(-0.780597\pi\)
0.771708 0.635977i \(-0.219403\pi\)
\(422\) 11.2287 26.5626i 0.546603 1.29305i
\(423\) 6.89562 32.9625i 0.335277 1.60269i
\(424\) −5.61439 0.863632i −0.272659 0.0419417i
\(425\) −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
\(429\) 14.5859 + 17.9530i 0.704214 + 0.866777i
\(430\) 2.54561 + 20.4810i 0.122760 + 0.987683i
\(431\) 10.4072 + 6.00858i 0.501296 + 0.289423i 0.729248 0.684249i \(-0.239870\pi\)
−0.227953 + 0.973672i \(0.573203\pi\)
\(432\) 8.98616 + 18.7416i 0.432347 + 0.901707i
\(433\) 35.6343i 1.71247i −0.516583 0.856237i \(-0.672796\pi\)
0.516583 0.856237i \(-0.327204\pi\)
\(434\) −1.86655 + 3.20302i −0.0895972 + 0.153750i
\(435\) 3.04729 + 19.0415i 0.146107 + 0.912972i
\(436\) 4.44287 + 17.5968i 0.212775 + 0.842733i
\(437\) −19.8674 11.4705i −0.950389 0.548707i
\(438\) −0.790533 + 0.229330i −0.0377732 + 0.0109578i
\(439\) −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 \(0.0221536\pi\)
−0.438565 + 0.898700i \(0.644513\pi\)
\(444\) 2.54852 3.41439i 0.120947 0.162040i
\(445\) 2.86962 + 1.65678i 0.136033 + 0.0785387i
\(446\) 6.31402 14.9365i 0.298978 0.707263i
\(447\) 18.8075 3.00984i 0.889563 0.142360i
\(448\) 19.2131 + 8.88022i 0.907732 + 0.419551i
\(449\) 30.6292i 1.44548i 0.691120 + 0.722740i \(0.257117\pi\)
−0.691120 + 0.722740i \(0.742883\pi\)
\(450\) −13.2417 1.09579i −0.624220 0.0516562i
\(451\) 5.11103 8.85257i 0.240669 0.416851i
\(452\) −24.1185 + 23.4297i −1.13444 + 1.10204i
\(453\) 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
\(456\) 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 \(0.745762\pi\)
\(458\) −0.395839 3.18478i −0.0184964 0.148815i
\(459\) 0.865951 18.2040i 0.0404191 0.849691i
\(460\) 20.1685 5.09219i 0.940362 0.237425i
\(461\) 30.8362i 1.43618i −0.695948 0.718092i \(-0.745015\pi\)
0.695948 0.718092i \(-0.254985\pi\)
\(462\) −24.4871 + 19.7310i −1.13924 + 0.917969i
\(463\) −32.3199 −1.50203 −0.751016 0.660284i \(-0.770436\pi\)
−0.751016 + 0.660284i \(0.770436\pi\)
\(464\) −0.452391 + 15.6105i −0.0210017 + 0.724701i
\(465\) 1.74639 4.57146i 0.0809867 0.211996i
\(466\) −36.5629 + 4.54444i −1.69375 + 0.210517i
\(467\) 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
\(471\) 11.8435 + 14.5775i 0.545722 + 0.671698i
\(472\) 0.442424 2.87615i 0.0203642 0.132386i
\(473\) −21.5061 12.4166i −0.988852 0.570914i
\(474\) 13.3238 + 3.27826i 0.611981 + 0.150575i
\(475\) −19.6984 −0.903823
\(476\) −11.1312 14.8504i −0.510199 0.680665i
\(477\) 5.72409 1.88025i 0.262088 0.0860910i
\(478\) 4.58618 10.8491i 0.209767 0.496226i
\(479\) −17.6827 + 30.6273i −0.807943 + 1.39940i 0.106344 + 0.994329i \(0.466086\pi\)
−0.914286 + 0.405068i \(0.867248\pi\)
\(480\) −26.9262 7.45857i −1.22901 0.340436i
\(481\) 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
\(486\) −17.5005 13.4064i −0.793841 0.608126i
\(487\) 16.4191 28.4386i 0.744018 1.28868i −0.206634 0.978418i \(-0.566251\pi\)
0.950652 0.310259i \(-0.100416\pi\)
\(488\) 4.40236 5.48621i 0.199286 0.248349i
\(489\) −3.18008 19.8713i −0.143808 0.898610i
\(490\) −17.2037 + 22.3818i −0.777185 + 1.01111i
\(491\) 22.5295 1.01674 0.508371 0.861138i \(-0.330248\pi\)
0.508371 + 0.861138i \(0.330248\pi\)
\(492\) 6.70422 2.88205i 0.302250 0.129933i
\(493\) 6.84678 11.8590i 0.308363 0.534101i
\(494\) 3.01959 + 24.2945i 0.135858 + 1.09306i
\(495\) 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
\(498\) −0.244086 0.234256i −0.0109377 0.0104973i
\(499\) 11.3117 6.53084i 0.506383 0.292361i −0.224962 0.974367i \(-0.572226\pi\)
0.731346 + 0.682007i \(0.238893\pi\)
\(500\) −7.64256 + 7.42429i −0.341786 + 0.332024i
\(501\) 4.79073 12.5405i 0.214034 0.560270i
\(502\) −4.63241 + 10.9585i −0.206755 + 0.489100i
\(503\) −2.77607 −0.123779 −0.0618894 0.998083i \(-0.519713\pi\)
−0.0618894 + 0.998083i \(0.519713\pi\)
\(504\) −22.4345 + 0.831688i −0.999314 + 0.0370463i
\(505\) −20.2919 −0.902978
\(506\) −9.74542 + 23.0538i −0.433237 + 1.02487i
\(507\) 3.35345 8.77822i 0.148932 0.389854i
\(508\) 21.7915 + 22.4321i 0.966841 + 0.995265i
\(509\) −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
\(513\) −27.4959 17.6680i −1.21397 0.780059i
\(514\) −5.27775 42.4629i −0.232792 1.87296i
\(515\) 2.47812 4.29223i 0.109199 0.189138i
\(516\) −7.00156 16.2870i −0.308226 0.716995i
\(517\) −54.4701 −2.39559
\(518\) 2.28490 + 3.99471i 0.100393 + 0.175518i
\(519\) −0.278275 1.73885i −0.0122149 0.0763270i
\(520\) −17.3133 13.8929i −0.759239 0.609244i
\(521\) 2.92633 5.06856i 0.128205 0.222058i −0.794776 0.606903i \(-0.792412\pi\)
0.922981 + 0.384845i \(0.125745\pi\)
\(522\) −7.07093 14.9794i −0.309486 0.655630i
\(523\) −9.81038 16.9921i −0.428978 0.743012i 0.567805 0.823163i \(-0.307793\pi\)
−0.996783 + 0.0801516i \(0.974460\pi\)
\(524\) −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
\(528\) 26.6955 20.4341i 1.16177 0.889279i
\(529\) −4.84862 + 8.39806i −0.210810 + 0.365133i
\(530\) −3.15355 + 7.46006i −0.136982 + 0.324044i
\(531\) 0.963222 + 2.93235i 0.0418003 + 0.127253i
\(532\) −33.0449 + 3.97179i −1.43268 + 0.172199i
\(533\) 5.79779 0.251130
\(534\) −2.76384 0.680032i −0.119603 0.0294279i
\(535\) 2.62777 + 1.51715i 0.113609 + 0.0655919i
\(536\) 2.49654 16.2297i 0.107834 0.701018i
\(537\) 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
\(540\) 29.0455 5.88117i 1.24992 0.253085i
\(541\) −35.5120 + 20.5029i −1.52678 + 0.881488i −0.527287 + 0.849687i \(0.676791\pi\)
−0.999494 + 0.0318007i \(0.989876\pi\)
\(542\) −2.55886 + 0.318043i −0.109913 + 0.0136611i
\(543\) −5.79199 + 15.1615i −0.248558 + 0.650642i
\(544\) 11.5003 + 16.1675i 0.493070 + 0.693174i
\(545\) 25.8771 1.10845
\(546\) −16.6361 6.43239i −0.711960 0.275281i
\(547\) 13.0813i 0.559315i −0.960100 0.279658i \(-0.909779\pi\)
0.960100 0.279658i \(-0.0902209\pi\)
\(548\) 9.65058 + 38.2228i 0.412252 + 1.63280i
\(549\) −1.52771 + 7.30276i −0.0652010 + 0.311674i
\(550\) 2.65078 + 21.3272i 0.113029 + 0.909394i
\(551\) −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
\(555\) −3.83063 4.71490i −0.162601 0.200136i
\(556\) 0.155847 + 0.160429i 0.00660937 + 0.00680369i
\(557\) −19.2814 + 33.3964i −0.816980 + 1.41505i 0.0909180 + 0.995858i \(0.471020\pi\)
−0.907898 + 0.419192i \(0.862313\pi\)
\(558\) −0.346674 + 4.18926i −0.0146759 + 0.177345i
\(559\) 14.0849i 0.595730i
\(560\) 18.9824 23.4612i 0.802153 0.991416i
\(561\) −29.1074 + 4.65817i −1.22891 + 0.196668i
\(562\) 8.47007 20.0368i 0.357288 0.845203i
\(563\) 9.75701 + 5.63321i 0.411209 + 0.237411i 0.691309 0.722559i \(-0.257034\pi\)
−0.280100 + 0.959971i \(0.590368\pi\)
\(564\) −31.1623 23.2597i −1.31217 0.979409i
\(565\) 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 \(0.109171\pi\)
\(570\) 42.1952 12.2406i 1.76736 0.512703i
\(571\) −6.49082 3.74748i −0.271633 0.156827i 0.357997 0.933723i \(-0.383460\pi\)
−0.629629 + 0.776896i \(0.716793\pi\)
\(572\) 25.8971 6.53855i 1.08281 0.273390i
\(573\) 2.43564 + 15.2195i 0.101750 + 0.635803i
\(574\) −0.0318191 + 7.88209i −0.00132810 + 0.328992i
\(575\) 11.4225i 0.476350i
\(576\) 23.9982 0.290872i 0.999927 0.0121197i
\(577\) 18.4495 + 10.6518i 0.768064 + 0.443442i 0.832184 0.554500i \(-0.187091\pi\)
−0.0641196 + 0.997942i \(0.520424\pi\)
\(578\) 0.819596 + 6.59418i 0.0340907 + 0.274282i
\(579\) 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
\(582\) −19.6084 18.8188i −0.812795 0.780064i
\(583\) −4.87263 8.43964i −0.201804 0.349534i
\(584\) −0.144505 + 0.939414i −0.00597967 + 0.0388732i
\(585\) 23.0459 + 4.82112i 0.952833 + 0.199329i
\(586\) 9.82690 23.2466i 0.405946 0.960307i
\(587\) 15.2002i 0.627381i 0.949525 + 0.313691i \(0.101565\pi\)
−0.949525 + 0.313691i \(0.898435\pi\)
\(588\) 8.83613 22.5815i 0.364396 0.931244i
\(589\) 6.23194i 0.256783i
\(590\) −3.82166 1.61551i −0.157335 0.0665095i
\(591\) −1.69605 + 4.43970i −0.0697663 + 0.182625i
\(592\) −2.33543 4.33010i −0.0959854 0.177966i
\(593\) −4.55071 7.88206i −0.186875 0.323678i 0.757332 0.653031i \(-0.226503\pi\)
−0.944207 + 0.329353i \(0.893169\pi\)
\(594\) −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
\(597\) 31.3288 25.4531i 1.28220 1.04173i
\(598\) −14.0877 + 1.75097i −0.576087 + 0.0716024i
\(599\) −37.6136 21.7162i −1.53685 0.887302i −0.999021 0.0442488i \(-0.985911\pi\)
−0.537831 0.843053i \(-0.680756\pi\)
\(600\) −7.59057 + 13.3332i −0.309884 + 0.544326i
\(601\) 15.5284i 0.633415i −0.948523 0.316708i \(-0.897423\pi\)
0.948523 0.316708i \(-0.102577\pi\)
\(602\) 19.1485 + 0.0773002i 0.780433 + 0.00315052i
\(603\) 5.43533 + 16.5469i 0.221344 + 0.673841i
\(604\) 16.1619 4.08059i 0.657618 0.166037i
\(605\) −30.9831 17.8881i −1.25964 0.727256i
\(606\) 16.7402 4.85625i 0.680024 0.197272i
\(607\) 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
\(612\) −18.6415 9.76443i −0.753536 0.394704i
\(613\) −35.7276 20.6273i −1.44302 0.833131i −0.444974 0.895543i \(-0.646787\pi\)
−0.998050 + 0.0624126i \(0.980121\pi\)
\(614\) −23.0112 9.72739i −0.928655 0.392565i
\(615\) −1.64420 10.2741i −0.0663006 0.414291i
\(616\) 8.74702 + 35.2429i 0.352427 + 1.41998i
\(617\) 15.3232i 0.616887i 0.951243 + 0.308444i \(0.0998081\pi\)
−0.951243 + 0.308444i \(0.900192\pi\)
\(618\) −1.01716 + 4.13402i −0.0409161 + 0.166295i
\(619\) −7.95796 + 13.7836i −0.319857 + 0.554009i −0.980458 0.196728i \(-0.936968\pi\)
0.660601 + 0.750738i \(0.270302\pi\)
\(620\) −3.93738 4.05313i −0.158129 0.162778i
\(621\) 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
\(624\) 17.6078 + 7.31780i 0.704875 + 0.292946i
\(625\) 15.4254 + 26.7176i 0.617017 + 1.06871i
\(626\) −37.4267 + 4.65180i −1.49587 + 0.185923i
\(627\) −18.8653 + 49.3831i −0.753407 + 1.97217i
\(628\) 21.0280 5.30920i 0.839110 0.211860i
\(629\) 4.31380i 0.172002i
\(630\) −6.68078 + 31.3045i −0.266169 + 1.24720i
\(631\) −27.9268 −1.11175 −0.555875 0.831266i \(-0.687617\pi\)
−0.555875 + 0.831266i \(0.687617\pi\)
\(632\) 9.91594 12.3572i 0.394435 0.491544i
\(633\) 32.9941 + 12.6044i 1.31140 + 0.500980i
\(634\) −5.02703 40.4457i −0.199649 1.60630i
\(635\) 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
\(639\) −19.5076 + 21.8060i −0.771708 + 0.862634i
\(640\) −20.9121 + 24.5673i −0.826622 + 0.971108i
\(641\) 7.03036 + 4.05898i 0.277683 + 0.160320i 0.632374 0.774663i \(-0.282081\pi\)
−0.354691 + 0.934984i \(0.615414\pi\)
\(642\) −2.53091 0.622720i −0.0998871 0.0245768i
\(643\) 21.5611 0.850285 0.425143 0.905126i \(-0.360224\pi\)
0.425143 + 0.905126i \(0.360224\pi\)
\(644\) −2.30312 19.1618i −0.0907558 0.755079i
\(645\) −24.9595 + 3.99436i −0.982778 + 0.157278i
\(646\) −28.7363 12.1475i −1.13061 0.477939i
\(647\) 19.5173 33.8049i 0.767304 1.32901i −0.171716 0.985147i \(-0.554931\pi\)
0.939020 0.343863i \(-0.111736\pi\)
\(648\) −22.5542 + 11.8029i −0.886011 + 0.463663i
\(649\) 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 0.649149 0.760661i \(-0.275125\pi\)
−0.983326 + 0.181849i \(0.941792\pi\)
\(654\) −21.3478 + 6.19288i −0.834763 + 0.242161i
\(655\) −14.3772 + 24.9021i −0.561765 + 0.973006i
\(656\) 0.244092 8.42284i 0.00953021 0.328857i
\(657\) −0.314609 0.957770i −0.0122741 0.0373662i
\(658\) 36.4588 20.8537i 1.42131 0.812962i
\(659\) −6.99022 −0.272300 −0.136150 0.990688i \(-0.543473\pi\)
−0.136150 + 0.990688i \(0.543473\pi\)
\(660\) −18.9309 44.0370i −0.736885 1.71414i
\(661\) 23.0740 39.9653i 0.897474 1.55447i 0.0667617 0.997769i \(-0.478733\pi\)
0.830712 0.556702i \(-0.187933\pi\)
\(662\) −3.63830 + 0.452207i −0.141406 + 0.0175755i
\(663\) −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
\(666\) 4.28852 + 2.97290i 0.166177 + 0.115198i
\(667\) 12.3322 7.12002i 0.477506 0.275688i
\(668\) −10.8011 11.1186i −0.417907 0.430193i
\(669\) 18.5530 + 7.08760i 0.717301 + 0.274023i
\(670\) −21.5651 9.11610i −0.833133 0.352186i
\(671\) 12.0677 0.465869
\(672\) −10.0452 + 23.8976i −0.387501 + 0.921869i
\(673\) 8.04494 0.310110 0.155055 0.987906i \(-0.450445\pi\)
0.155055 + 0.987906i \(0.450445\pi\)
\(674\) 14.5519 + 6.15144i 0.560517 + 0.236945i
\(675\) 0.773227 16.2548i 0.0297615 0.625646i
\(676\) −7.56063 7.78291i −0.290794 0.299343i
\(677\) −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
\(681\) −28.5150 + 23.1671i −1.09270 + 0.887764i
\(682\) 6.74725 0.838621i 0.258365 0.0321125i
\(683\) −20.1018 + 34.8173i −0.769173 + 1.33225i 0.168839 + 0.985644i \(0.445998\pi\)
−0.938012 + 0.346603i \(0.887335\pi\)
\(684\) −31.8803 + 20.1963i −1.21897 + 0.772223i
\(685\) 56.2088 2.14763
\(686\) 18.5642 + 18.4762i 0.708784 + 0.705425i
\(687\) 3.88117 0.621119i 0.148076 0.0236972i
\(688\) −20.4621 0.592989i −0.780112 0.0226075i
\(689\) 2.76368 4.78683i 0.105288 0.182364i
\(690\) 7.09796 + 24.4677i 0.270215 + 0.931470i
\(691\) 17.2791 + 29.9282i 0.657326 + 1.13852i 0.981305 + 0.192458i \(0.0616460\pi\)
−0.323979 + 0.946064i \(0.605021\pi\)
\(692\) −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
\(696\) −19.1266 + 0.115908i −0.724992 + 0.00439349i
\(697\) −3.69426 + 6.39864i −0.139930 + 0.242366i
\(698\) −29.7018 12.5557i −1.12423 0.475240i
\(699\) −7.13078 44.5579i −0.269711 1.68533i
\(700\) −9.93931 13.2602i −0.375671 0.501189i
\(701\) 29.6534 1.11999 0.559997 0.828495i \(-0.310802\pi\)
0.559997 + 0.828495i \(0.310802\pi\)
\(702\) −20.1660 + 1.53807i −0.761115 + 0.0580508i
\(703\) 6.69969 + 3.86807i 0.252684 + 0.145887i
\(704\) −8.40869 37.8977i −0.316915 1.42832i
\(705\) −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
\(708\) 3.53937 + 0.418148i 0.133018 + 0.0157150i
\(709\) −9.81381 + 5.66601i −0.368565 + 0.212791i −0.672832 0.739796i \(-0.734922\pi\)
0.304266 + 0.952587i \(0.401589\pi\)
\(710\) −4.85116 39.0307i −0.182061 1.46480i
\(711\) −3.44103 + 16.4488i −0.129049 + 0.616880i
\(712\) −2.05693 + 2.56335i −0.0770868 + 0.0960654i
\(713\) −3.61371 −0.135335
\(714\) 17.6993 14.2616i 0.662378 0.533726i
\(715\) 38.0831i 1.42423i
\(716\) 41.9256 10.5855i 1.56683 0.395598i
\(717\) 13.4759 + 5.14807i 0.503269 + 0.192258i
\(718\) −15.9426 + 1.98152i −0.594971 + 0.0739495i
\(719\) −8.51080 14.7411i −0.317399 0.549752i 0.662545 0.749022i \(-0.269476\pi\)
−0.979945 + 0.199270i \(0.936143\pi\)
\(720\) 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
\(723\) −9.68787 + 7.87092i −0.360296 + 0.292723i
\(724\) 13.0585 + 13.4424i 0.485316 + 0.499584i
\(725\) 6.11364 10.5891i 0.227055 0.393271i
\(726\) 29.8411 + 7.34228i 1.10751 + 0.272497i
\(727\) 42.1153i 1.56197i 0.624550 + 0.780985i \(0.285282\pi\)
−0.624550 + 0.780985i \(0.714718\pi\)
\(728\) −14.8306 + 14.2911i −0.549658 + 0.529663i
\(729\) 15.6586 21.9956i 0.579949 0.814653i
\(730\) 1.24824 + 0.527661i 0.0461993 + 0.0195296i
\(731\) 15.5446 + 8.97469i 0.574939 + 0.331941i
\(732\) 6.90394 + 5.15312i 0.255177 + 0.190465i
\(733\) −20.3500 35.2472i −0.751644 1.30189i −0.947026 0.321158i \(-0.895928\pi\)
0.195382 0.980727i \(-0.437405\pi\)
\(734\) 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
\(738\) 3.81520 + 8.08230i 0.140439 + 0.297513i
\(739\) 7.63741 + 4.40946i 0.280947 + 0.162205i 0.633852 0.773454i \(-0.281473\pi\)
−0.352905 + 0.935659i \(0.614806\pi\)
\(740\) −6.80122 + 1.71719i −0.250018 + 0.0631251i
\(741\) −29.6068 + 4.73810i −1.08763 + 0.174058i
\(742\) 6.49252 + 3.78349i 0.238348 + 0.138896i
\(743\) 16.3412i 0.599502i 0.954017 + 0.299751i \(0.0969036\pi\)
−0.954017 + 0.299751i \(0.903096\pi\)
\(744\) 4.21821 + 2.40142i 0.154647 + 0.0880402i
\(745\) −27.1572 15.6792i −0.994962 0.574441i
\(746\) 43.9604 5.46388i 1.60950 0.200047i
\(747\) 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
\(750\) −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 \(0.760989\pi\)
\(752\) −39.5198 + 21.3149i −1.44114 + 0.777273i
\(753\) −13.6118 5.19997i −0.496041 0.189497i
\(754\) −13.9970 5.91690i −0.509742 0.215481i
\(755\) 23.7670i 0.864969i
\(756\) −1.98034 27.4240i −0.0720241 0.997403i
\(757\) 29.0246i 1.05492i 0.849581 + 0.527459i \(0.176855\pi\)
−0.849581 + 0.527459i \(0.823145\pi\)
\(758\) −15.8656 + 37.5318i −0.576265 + 1.36322i
\(759\) −28.6358 10.9394i −1.03941 0.397075i
\(760\) 7.71305 50.1418i 0.279782 1.81883i
\(761\) 15.5050 + 26.8554i 0.562055 + 0.973507i 0.997317 + 0.0732037i \(0.0233223\pi\)
−0.435262 + 0.900304i \(0.643344\pi\)
\(762\) −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
\(765\) −20.0052 + 22.3624i −0.723291 + 0.808513i
\(766\) 4.42015 + 35.5629i 0.159706 + 1.28494i
\(767\) 2.45221 + 1.41578i 0.0885442 + 0.0511210i
\(768\) 11.3724 25.2719i 0.410365 0.911922i
\(769\) 42.3916i 1.52868i 0.644813 + 0.764340i \(0.276935\pi\)
−0.644813 + 0.764340i \(0.723065\pi\)
\(770\) 51.7739 + 0.209005i 1.86580 + 0.00753203i
\(771\) 51.7479 8.28143i 1.86366 0.298248i
\(772\) 28.9235 7.30267i 1.04098 0.262829i
\(773\)