Properties

Label 168.2.ba.c.101.4
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 101.4
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30261 - 0.550645i) q^{2} +(-1.09218 + 1.34430i) q^{3} +(1.39358 + 1.43455i) q^{4} +(-2.46958 + 1.42581i) q^{5} +(2.16291 - 1.14970i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(-1.02536 - 2.63603i) q^{8} +(-0.614290 - 2.93643i) q^{9} +O(q^{10})\) \(q+(-1.30261 - 0.550645i) q^{2} +(-1.09218 + 1.34430i) q^{3} +(1.39358 + 1.43455i) q^{4} +(-2.46958 + 1.42581i) q^{5} +(2.16291 - 1.14970i) q^{6} +(-1.02032 - 2.44110i) q^{7} +(-1.02536 - 2.63603i) q^{8} +(-0.614290 - 2.93643i) q^{9} +(4.00201 - 0.497414i) q^{10} +(2.42621 - 4.20231i) q^{11} +(-3.45051 + 0.306605i) 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} +(-0.816754 + 4.16328i) 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} +(4.66349 + 1.50062i) 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} +(-3.70224 + 5.92318i) q^{30} +(-0.858051 - 0.495396i) q^{31} +(2.35259 - 5.14445i) q^{32} +(2.99932 + 7.85123i) q^{33} +(3.95689 - 2.99094i) q^{34} +(6.00030 + 4.57370i) q^{35} +(3.35640 - 4.97339i) q^{36} +(-1.06516 + 0.614970i) q^{37} +(1.09715 + 8.82727i) q^{38} +(3.00591 - 3.69980i) q^{39} +(6.29069 + 5.04791i) q^{40} +2.10659 q^{41} +(-5.01338 - 4.10683i) q^{42} +5.11768i q^{43} +(9.40954 - 2.37574i) q^{44} +(5.70384 + 6.37590i) q^{45} +(5.11867 - 0.636204i) q^{46} +(-5.61268 - 9.72145i) q^{47} +(-5.24840 - 4.52265i) q^{48} +(-4.91791 + 4.98138i) q^{49} +(-3.53319 + 2.67068i) q^{50} +(-2.16791 - 5.67487i) q^{51} +(-3.83543 - 3.94819i) q^{52} +(1.00417 - 1.73927i) q^{53} +(-4.70466 - 5.64501i) 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} +(8.08414 - 5.67696i) 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} +(0.416299 - 11.8786i) 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} +(-7.11065 + 4.63019i) q^{72} +(0.291019 + 0.168020i) q^{73} +(1.72612 - 0.214540i) q^{74} +(1.93577 + 5.06722i) q^{75} +(3.43154 - 12.1026i) q^{76} +(-12.7338 - 1.63491i) q^{77} +(-5.95280 + 3.16420i) q^{78} +(-2.80082 - 4.85116i) q^{79} +(-5.41471 - 10.0394i) q^{80} +(-8.24530 + 3.60764i) q^{81} +(-2.74407 - 1.15999i) q^{82} -0.138115i q^{83} +(4.26906 + 8.11019i) q^{84} -10.0016i q^{85} +(2.81803 - 6.66634i) q^{86} +(4.26417 - 5.24852i) q^{87} +(-13.5651 - 2.08666i) q^{88} +(-0.580993 - 1.00631i) q^{89} +(-3.91902 - 11.4461i) q^{90} +(2.80813 + 6.71841i) q^{91} +(-7.01795 - 1.98985i) q^{92} +(1.60311 - 0.612418i) q^{93} +(1.95806 + 15.7538i) q^{94} +(15.5333 + 8.96815i) q^{95} +(4.34623 + 8.78124i) 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
\(3\) −1.09218 + 1.34430i −0.630570 + 0.776132i
\(4\) 1.39358 + 1.43455i 0.696790 + 0.717275i
\(5\) −2.46958 + 1.42581i −1.10443 + 0.637643i −0.937381 0.348306i \(-0.886757\pi\)
−0.167049 + 0.985949i \(0.553424\pi\)
\(6\) 2.16291 1.14970i 0.883006 0.469361i
\(7\) −1.02032 2.44110i −0.385643 0.922648i
\(8\) −1.02536 2.63603i −0.362520 0.931976i
\(9\) −0.614290 2.93643i −0.204763 0.978812i
\(10\) 4.00201 0.497414i 1.26555 0.157296i
\(11\) 2.42621 4.20231i 0.731529 1.26705i −0.224701 0.974428i \(-0.572140\pi\)
0.956230 0.292617i \(-0.0945262\pi\)
\(12\) −3.45051 + 0.306605i −0.996075 + 0.0885091i
\(13\) −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 −0.996451 0.0841773i \(-0.973174\pi\)
0.571125 + 0.820863i \(0.306507\pi\)
\(18\) −0.816754 + 4.16328i −0.192511 + 0.981295i
\(19\) −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
\(21\) 4.39594 + 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 \(0.457498\pi\)
\(24\) 4.66349 + 1.50062i 0.951931 + 0.306313i
\(25\) 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 \(-0.618078\pi\)
−0.362503 + 0.931983i \(0.618078\pi\)
\(30\) −3.70224 + 5.92318i −0.675934 + 1.08142i
\(31\) −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
\(33\) 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
\(36\) 3.35640 4.97339i 0.559400 0.828898i
\(37\) −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
\(39\) 3.00591 3.69980i 0.481330 0.592442i
\(40\) 6.29069 + 5.04791i 0.994646 + 0.798144i
\(41\) 2.10659 0.328995 0.164497 0.986378i \(-0.447400\pi\)
0.164497 + 0.986378i \(0.447400\pi\)
\(42\) −5.01338 4.10683i −0.773581 0.633698i
\(43\) 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
\(45\) 5.70384 + 6.37590i 0.850279 + 0.950463i
\(46\) 5.11867 0.636204i 0.754706 0.0938032i
\(47\) −5.61268 9.72145i −0.818693 1.41802i −0.906645 0.421894i \(-0.861365\pi\)
0.0879518 0.996125i \(-0.471968\pi\)
\(48\) −5.24840 4.52265i −0.757541 0.652788i
\(49\) −4.91791 + 4.98138i −0.702558 + 0.711626i
\(50\) −3.53319 + 2.67068i −0.499668 + 0.377691i
\(51\) −2.16791 5.67487i −0.303568 0.794641i
\(52\) −3.83543 3.94819i −0.531878 0.547515i
\(53\) 1.00417 1.73927i 0.137933 0.238907i −0.788781 0.614674i \(-0.789288\pi\)
0.926714 + 0.375767i \(0.122621\pi\)
\(54\) −4.70466 5.64501i −0.640223 0.768189i
\(55\) 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 0.556876 0.830595i \(-0.312000\pi\)
−0.440879 + 0.897567i \(0.645333\pi\)
\(60\) 8.08414 5.67696i 1.04366 0.732892i
\(61\) −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
\(63\) −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
\(66\) 0.416299 11.8786i 0.0512429 1.46216i
\(67\) −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 \(0.196448\pi\)
−0.815526 + 0.578720i \(0.803552\pi\)
\(72\) −7.11065 + 4.63019i −0.837998 + 0.545673i
\(73\) 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
\(75\) 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
\(78\) −5.95280 + 3.16420i −0.674022 + 0.358276i
\(79\) −2.80082 4.85116i −0.315117 0.545798i 0.664346 0.747426i \(-0.268710\pi\)
−0.979462 + 0.201627i \(0.935377\pi\)
\(80\) −5.41471 10.0394i −0.605383 1.12244i
\(81\) −8.24530 + 3.60764i −0.916144 + 0.400849i
\(82\) −2.74407 1.15999i −0.303032 0.128099i
\(83\) 0.138115i 0.0151600i −0.999971 0.00758002i \(-0.997587\pi\)
0.999971 0.00758002i \(-0.00241282\pi\)
\(84\) 4.26906 + 8.11019i 0.465793 + 0.884894i
\(85\) 10.0016i 1.08482i
\(86\) 2.81803 6.66634i 0.303876 0.718850i
\(87\) 4.26417 5.24852i 0.457167 0.562700i
\(88\) −13.5651 2.08666i −1.44605 0.222438i
\(89\) −0.580993 1.00631i −0.0615852 0.106669i 0.833589 0.552385i \(-0.186282\pi\)
−0.895174 + 0.445717i \(0.852949\pi\)
\(90\) −3.91902 11.4461i −0.413101 1.20652i
\(91\) 2.80813 + 6.71841i 0.294372 + 0.704281i
\(92\) −7.01795 1.98985i −0.731671 0.207456i
\(93\) 1.60311 0.612418i 0.166234 0.0635048i
\(94\) 1.95806 + 15.7538i 0.201958 + 1.62488i
\(95\) 15.5333 + 8.96815i 1.59368 + 0.920113i
\(96\) 4.34623 + 8.78124i 0.443585 + 0.896232i
\(97\) 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 0.774216 0.632922i \(-0.218144\pi\)
−0.161018 + 0.986951i \(0.551478\pi\)
\(102\) −0.300901 + 8.58589i −0.0297937 + 0.850130i
\(103\) 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 0.839163 0.543881i \(-0.183046\pi\)
−0.890596 + 0.454796i \(0.849712\pi\)
\(108\) 3.01993 + 9.94384i 0.290593 + 0.956847i
\(109\) 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 \(-0.709666\pi\)
0.612078 0.790797i \(-0.290334\pi\)
\(114\) −13.0648 8.16606i −1.22363 0.764822i
\(115\) 5.20036 9.00729i 0.484936 0.839934i
\(116\) −5.44092 5.60088i −0.505176 0.520028i
\(117\) 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
\(120\) −13.6565 + 2.94337i −1.24666 + 0.268691i
\(121\) −6.27296 10.8651i −0.570269 0.987735i
\(122\) 0.433803 + 3.49022i 0.0392747 + 0.315990i
\(123\) −2.30078 + 2.83190i −0.207454 + 0.255343i
\(124\) −0.485092 1.92129i −0.0435626 0.172537i
\(125\) 5.32750i 0.476506i
\(126\) 10.9963 2.25409i 0.979630 0.200810i
\(127\) 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
\(129\) −6.87971 5.58943i −0.605724 0.492122i
\(130\) −11.0144 + 1.36899i −0.966026 + 0.120068i
\(131\) 8.73260 5.04177i 0.762971 0.440502i −0.0673904 0.997727i \(-0.521467\pi\)
0.830361 + 0.557225i \(0.188134\pi\)
\(132\) −7.08319 + 15.2440i −0.616513 + 1.32682i
\(133\) −10.0883 + 13.2349i −0.874763 + 1.14761i
\(134\) 4.95082 + 6.54971i 0.427685 + 0.565809i
\(135\) −14.8007 + 0.704060i −1.27385 + 0.0605958i
\(136\) 9.80489 + 1.50824i 0.840763 + 0.129330i
\(137\) −17.0704 9.85557i −1.45842 0.842019i −0.459485 0.888185i \(-0.651966\pi\)
−0.998934 + 0.0461669i \(0.985299\pi\)
\(138\) −4.73525 + 7.57588i −0.403091 + 0.644902i
\(139\) 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
\(144\) 11.8120 2.11588i 0.984332 0.176323i
\(145\) 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 0.998413 0.0563094i \(-0.0179333\pi\)
−0.547972 + 0.836497i \(0.684600\pi\)
\(150\) 0.268681 7.66653i 0.0219377 0.625969i
\(151\) 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
\(156\) 9.49652 0.843840i 0.760330 0.0675613i
\(157\) 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
\(159\) 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
\(162\) 12.7269 0.159116i 0.999922 0.0125014i
\(163\) −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
\(165\) −18.6014 15.1128i −1.44812 1.17653i
\(166\) −0.0760521 + 0.179909i −0.00590279 + 0.0139637i
\(167\) 7.75061 0.599761 0.299880 0.953977i \(-0.403053\pi\)
0.299880 + 0.953977i \(0.403053\pi\)
\(168\) −1.09508 12.9151i −0.0844874 0.996425i
\(169\) −5.42533 −0.417333
\(170\) −5.50732 + 13.0281i −0.422392 + 0.999213i
\(171\) −14.0634 + 12.5810i −1.07545 + 0.962094i
\(172\) −7.34158 + 7.13190i −0.559790 + 0.543802i
\(173\) 0.880487 0.508349i 0.0669422 0.0386491i −0.466155 0.884703i \(-0.654361\pi\)
0.533098 + 0.846054i \(0.321028\pi\)
\(174\) −8.44461 + 4.48872i −0.640184 + 0.340289i
\(175\) −8.21842 1.05518i −0.621254 0.0797642i
\(176\) 16.5211 + 10.1877i 1.24532 + 0.767925i
\(177\) −1.66466 + 0.635932i −0.125123 + 0.0477996i
\(178\) 0.202687 + 1.63075i 0.0151921 + 0.122230i
\(179\) −10.8103 + 18.7240i −0.808002 + 1.39950i 0.106244 + 0.994340i \(0.466117\pi\)
−0.914246 + 0.405160i \(0.867216\pi\)
\(180\) −1.19779 + 17.0678i −0.0892778 + 1.27216i
\(181\) 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
\(186\) −2.42545 0.0850023i −0.177842 0.00623267i
\(187\) 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 \(0.437671\pi\)
\(192\) −0.826091 13.8318i −0.0596180 0.998221i
\(193\) 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 \(-0.531164\pi\)
−0.0977487 + 0.995211i \(0.531164\pi\)
\(198\) 15.5138 + 13.5332i 1.10252 + 0.961765i
\(199\) −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
\(201\) 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
\(204\) 5.11973 11.0184i 0.358453 0.771440i
\(205\) −5.20240 + 3.00361i −0.363352 + 0.209781i
\(206\) −2.43919 + 0.303170i −0.169947 + 0.0211228i
\(207\) 7.29535 + 8.15492i 0.507062 + 0.566806i
\(208\) 0.318901 11.0042i 0.0221118 0.763006i
\(209\) −30.5210 −2.11118
\(210\) 18.2365 + 2.99401i 1.25844 + 0.206607i
\(211\) 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
\(213\) −13.1107 10.6518i −0.898328 0.729847i
\(214\) 0.185605 + 1.49331i 0.0126877 + 0.102081i
\(215\) −7.29686 12.6385i −0.497642 0.861941i
\(216\) 1.54173 14.6158i 0.104902 0.994483i
\(217\) −0.333826 + 2.60005i −0.0226616 + 0.176503i
\(218\) −7.73845 10.2376i −0.524114 0.693380i
\(219\) −0.543714 + 0.207709i −0.0367408 + 0.0140357i
\(220\) −19.8503 + 19.2833i −1.33830 + 1.30008i
\(221\) 4.82645 8.35966i 0.324662 0.562332i
\(222\) −1.59682 + 2.55473i −0.107172 + 0.171463i
\(223\) 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 −0.254497 0.967073i \(-0.581910\pi\)
−0.964759 + 0.263136i \(0.915243\pi\)
\(228\) 12.5217 + 17.8313i 0.829271 + 1.18090i
\(229\) −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
\(231\) 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 \(0.00787651\pi\)
\(234\) 2.24788 11.4582i 0.146949 0.749048i
\(235\) 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 \(0.0868157\pi\)
−0.963037 + 0.269371i \(0.913184\pi\)
\(240\) 19.4098 + 3.68581i 1.25290 + 0.237918i
\(241\) 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
\(243\) 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
\(246\) 4.55638 2.42194i 0.290504 0.154417i
\(247\) 8.65550 + 14.9918i 0.550736 + 0.953904i
\(248\) −0.426065 + 2.76981i −0.0270551 + 0.175883i
\(249\) 0.185668 + 0.150846i 0.0117662 + 0.00955947i
\(250\) −2.93356 + 6.93965i −0.185535 + 0.438902i
\(251\) 8.41270i 0.531005i −0.964110 0.265502i \(-0.914462\pi\)
0.964110 0.265502i \(-0.0855378\pi\)
\(252\) −15.5651 3.11887i −0.980510 0.196471i
\(253\) 17.6982i 1.11268i
\(254\) −20.3690 8.61047i −1.27806 0.540269i
\(255\) 13.4451 + 10.9235i 0.841967 + 0.684057i
\(256\) −15.9731 0.926576i −0.998322 0.0579110i
\(257\) 15.1284 + 26.2032i 0.943685 + 1.63451i 0.758364 + 0.651832i \(0.225999\pi\)
0.185321 + 0.982678i \(0.440668\pi\)
\(258\) 5.88378 + 11.0691i 0.366308 + 0.689133i
\(259\) 2.58800 + 1.97269i 0.160810 + 0.122577i
\(260\) 15.1013 + 4.28176i 0.936541 + 0.265544i
\(261\) 2.39836 + 11.4646i 0.148454 + 0.709644i
\(262\) −14.1514 + 1.75889i −0.874276 + 0.108665i
\(263\) −20.9078 12.0711i −1.28923 0.744338i −0.310714 0.950504i \(-0.600568\pi\)
−0.978517 + 0.206166i \(0.933901\pi\)
\(264\) 17.6207 15.9566i 1.08448 0.982063i
\(265\) 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 −0.135581 0.990766i \(-0.543290\pi\)
−0.925819 + 0.377966i \(0.876623\pi\)
\(270\) 19.6673 + 7.23284i 1.19691 + 0.440177i
\(271\) −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
\(276\) 10.3398 7.26096i 0.622383 0.437059i
\(277\) 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 \(0.151724\pi\)
−0.888535 + 0.458809i \(0.848276\pi\)
\(282\) −23.3164 14.5738i −1.38847 0.867857i
\(283\) 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
\(285\) −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
\(288\) −16.5515 3.74805i −0.975306 0.220856i
\(289\) 2.34933 + 4.06916i 0.138196 + 0.239362i
\(290\) −15.6250 + 1.94204i −0.917529 + 0.114041i
\(291\) −14.9154 12.1181i −0.874359 0.710374i
\(292\) 0.164525 + 0.651630i 0.00962810 + 0.0381338i
\(293\) 17.8462i 1.04258i 0.853378 + 0.521292i \(0.174550\pi\)
−0.853378 + 0.521292i \(0.825450\pi\)
\(294\) −4.90994 + 16.4284i −0.286354 + 0.958124i
\(295\) −2.93385 −0.170815
\(296\) 2.71325 + 2.17722i 0.157704 + 0.126548i
\(297\) 21.2122 13.6302i 1.23086 0.790907i
\(298\) −1.91817 15.4329i −0.111117 0.894004i
\(299\) 8.69327 5.01906i 0.502745 0.290260i
\(300\) −4.57152 + 9.83854i −0.263937 + 0.568028i
\(301\) 12.4928 5.22166i 0.720071 0.300971i
\(302\) −9.40283 + 7.10744i −0.541072 + 0.408987i
\(303\) −11.5136 + 4.39841i −0.661438 + 0.252682i
\(304\) 22.1440 11.9433i 1.27004 0.684993i
\(305\) 6.14172 + 3.54592i 0.351674 + 0.203039i
\(306\) −11.2134 9.78183i −0.641026 0.559190i
\(307\) −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 −0.724006 0.689794i \(-0.757701\pi\)
0.959382 + 0.282110i \(0.0910344\pi\)
\(312\) −12.8349 4.13002i −0.726634 0.233816i
\(313\) −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 \(0.133504\pi\)
−0.103996 + 0.994578i \(0.533163\pi\)
\(318\) 0.172299 4.91637i 0.00966207 0.275696i
\(319\) −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
\(324\) −16.6658 6.80075i −0.925879 0.377820i
\(325\) −4.30964 + 7.46452i −0.239056 + 0.414057i
\(326\) 16.3058 2.02666i 0.903096 0.112247i
\(327\) −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
\(330\) 15.9086 + 29.9288i 0.875742 + 1.64753i
\(331\) −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
\(333\) 2.46013 + 2.75000i 0.134815 + 0.150699i
\(334\) −10.0960 4.26784i −0.552430 0.233526i
\(335\) 16.5553 0.904513
\(336\) −5.68520 + 17.4264i −0.310153 + 0.950687i
\(337\) 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
\(339\) 22.6012 + 18.3623i 1.22753 + 0.997306i
\(340\) 14.3478 13.9380i 0.778117 0.755894i
\(341\) −4.16362 + 2.40387i −0.225473 + 0.130177i
\(342\) 25.2467 8.64421i 1.36519 0.467426i
\(343\) 17.1779 + 6.92250i 0.927517 + 0.373780i
\(344\) 13.4903 5.24747i 0.727351 0.282925i
\(345\) 6.42878 + 16.8284i 0.346114 + 0.906012i
\(346\) −1.42685 + 0.177345i −0.0767079 + 0.00953410i
\(347\) −7.23643 + 12.5339i −0.388472 + 0.672853i −0.992244 0.124304i \(-0.960330\pi\)
0.603772 + 0.797157i \(0.293664\pi\)
\(348\) 13.4717 1.19707i 0.722160 0.0641696i
\(349\) −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 −0.915639 0.402003i \(-0.868314\pi\)
0.805964 + 0.591965i \(0.201648\pi\)
\(354\) 2.51857 + 0.0882660i 0.133861 + 0.00469128i
\(355\) −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 \(0.236422\pi\)
\(360\) 10.9585 21.5731i 0.577566 1.13700i
\(361\) −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
\(366\) −5.16570 3.22879i −0.270015 0.168771i
\(367\) 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
\(369\) −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
\(372\) 3.11260 + 1.44629i 0.161381 + 0.0749864i
\(373\) 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
\(375\) 7.16176 + 5.81858i 0.369832 + 0.300470i
\(376\) −19.8710 + 24.7632i −1.02477 + 1.27706i
\(377\) 10.7454 0.553416
\(378\) −8.97978 + 17.2442i −0.461870 + 0.886948i
\(379\) 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
\(381\) −17.0785 + 21.0209i −0.874956 + 1.07693i
\(382\) 12.4887 1.55223i 0.638977 0.0794190i
\(383\) −12.6701 21.9453i −0.647413 1.12135i −0.983738 0.179607i \(-0.942517\pi\)
0.336325 0.941746i \(-0.390816\pi\)
\(384\) −6.54032 + 18.4723i −0.333759 + 0.942658i
\(385\) 33.7781 14.1184i 1.72149 0.719540i
\(386\) −16.8274 + 12.7196i −0.856493 + 0.647409i
\(387\) 15.0277 3.14374i 0.763903 0.159805i
\(388\) −15.9168 + 15.4622i −0.808053 + 0.784975i
\(389\) 2.20886 3.82586i 0.111994 0.193979i −0.804580 0.593844i \(-0.797610\pi\)
0.916574 + 0.399865i \(0.130943\pi\)
\(390\) 10.1894 16.3018i 0.515958 0.825475i
\(391\) 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
\(396\) −12.7564 26.1711i −0.641033 1.31515i
\(397\) −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
\(399\) −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 \(0.393672\pi\)
\(402\) −14.2120 0.498073i −0.708828 0.0248416i
\(403\) 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
\(408\) −12.7362 + 11.5335i −0.630537 + 0.570991i
\(409\) −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
\(411\) 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
\(414\) −5.01252 14.6398i −0.246352 0.719508i
\(415\) 0.196926 + 0.341085i 0.00966670 + 0.0167432i
\(416\) −6.47483 + 14.1586i −0.317454 + 0.694183i
\(417\) −0.122140 + 0.150336i −0.00598125 + 0.00736197i
\(418\) 39.7569 + 16.8062i 1.94457 + 0.822019i
\(419\) 19.5661i 0.955866i −0.878396 0.477933i \(-0.841386\pi\)
0.878396 0.477933i \(-0.158614\pi\)
\(420\) −22.1064 13.9419i −1.07868 0.680294i
\(421\) 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
\(423\) −25.0986 + 22.4531i −1.22033 + 1.09170i
\(424\) −5.61439 0.863632i −0.272659 0.0419417i
\(425\) 5.49207 + 9.51254i 0.266404 + 0.461426i
\(426\) 11.2127 + 21.0944i 0.543258 + 1.02203i
\(427\) −3.98880 + 5.23296i −0.193032 + 0.253241i
\(428\) 0.580514 2.04740i 0.0280602 0.0989650i
\(429\) −8.25477 21.6082i −0.398544 1.04326i
\(430\) 2.54561 + 20.4810i 0.122760 + 0.987683i
\(431\) −10.4072 6.00858i −0.501296 0.289423i 0.227953 0.973672i \(-0.426797\pi\)
−0.729248 + 0.684249i \(0.760130\pi\)
\(432\) −10.0564 + 18.1898i −0.483840 + 0.875157i
\(433\) 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
\(438\) 0.822620 + 0.0288296i 0.0393063 + 0.00137753i
\(439\) −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 \(-0.977846\pi\)
0.438565 0.898700i \(-0.355487\pi\)
\(444\) 3.48678 2.44854i 0.165475 0.116203i
\(445\) 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 \(-0.742883\pi\)
0.691120 0.722740i \(-0.257117\pi\)
\(450\) 10.0127 + 8.73441i 0.472002 + 0.411744i
\(451\) 5.11103 8.85257i 0.240669 0.416851i
\(452\) 24.1185 23.4297i 1.13444 1.10204i
\(453\) 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
\(456\) −6.49221 30.1222i −0.304025 1.41060i
\(457\) 5.80736 + 10.0587i 0.271657 + 0.470524i 0.969286 0.245935i \(-0.0790950\pi\)
−0.697629 + 0.716459i \(0.745762\pi\)
\(458\) 0.395839 + 3.18478i 0.0184964 + 0.148815i
\(459\) −15.3322 + 9.85194i −0.715644 + 0.459849i
\(460\) 20.1685 5.09219i 0.940362 0.237425i
\(461\) 30.8362i 1.43618i 0.695948 + 0.718092i \(0.254985\pi\)
−0.695948 + 0.718092i \(0.745015\pi\)
\(462\) −29.4217 + 11.1038i −1.36882 + 0.516593i
\(463\) −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
\(465\) −3.08581 + 3.79815i −0.143101 + 0.176135i
\(466\) −36.5629 + 4.54444i −1.69375 + 0.210517i
\(467\) −29.3749 + 16.9596i −1.35931 + 0.784797i −0.989531 0.144323i \(-0.953900\pi\)
−0.369778 + 0.929120i \(0.620566\pi\)
\(468\) −9.23753 + 13.6878i −0.427005 + 0.632719i
\(469\) −1.95606 + 15.2350i −0.0903225 + 0.703489i
\(470\) −27.2976 36.1135i −1.25914 1.66579i
\(471\) 6.70275 + 17.5456i 0.308846 + 0.808458i
\(472\) 0.442424 2.87615i 0.0203642 0.132386i
\(473\) 21.5061 + 12.4166i 0.988852 + 0.570914i
\(474\) −11.6353 7.27256i −0.534427 0.334040i
\(475\) −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 \(-0.533914\pi\)
0.914286 0.405068i \(-0.132752\pi\)
\(480\) −23.2538 15.4891i −1.06139 0.706976i
\(481\) 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
\(486\) −13.6862 + 17.2826i −0.620818 + 0.783955i
\(487\) 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 \(-0.669752\pi\)
−0.508371 + 0.861138i \(0.669752\pi\)
\(492\) −7.26882 + 0.645891i −0.327703 + 0.0291190i
\(493\) 6.84678 11.8590i 0.308363 0.534101i
\(494\) −3.01959 24.2945i −0.135858 1.09306i
\(495\) 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
\(498\) −0.158790 0.298730i −0.00711554 0.0133864i
\(499\) 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
\(501\) −8.46506 + 10.4192i −0.378191 + 0.465494i
\(502\) −4.63241 + 10.9585i −0.206755 + 0.489100i
\(503\) 2.77607 0.123779 0.0618894 0.998083i \(-0.480287\pi\)
0.0618894 + 0.998083i \(0.480287\pi\)
\(504\) 18.5579 + 12.6335i 0.826633 + 0.562742i
\(505\) −20.2919 −0.902978
\(506\) 9.74542 23.0538i 0.433237 1.02487i
\(507\) 5.92543 7.29328i 0.263158 0.323906i
\(508\) 21.7915 + 22.4321i 0.966841 + 0.995265i
\(509\) 27.2704 15.7446i 1.20874 0.697866i 0.246255 0.969205i \(-0.420800\pi\)
0.962484 + 0.271339i \(0.0874665\pi\)
\(510\) −11.4988 21.6326i −0.509174 0.957906i
\(511\) 0.113221 0.881838i 0.00500861 0.0390102i
\(512\) 20.2965 + 10.0025i 0.896989 + 0.442052i
\(513\) −1.55295 32.6461i −0.0685645 1.44136i
\(514\) −5.27775 42.4629i −0.232792 1.87296i
\(515\) −2.47812 + 4.29223i −0.109199 + 0.189138i
\(516\) −1.56910 17.6586i −0.0690760 0.777376i
\(517\) −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 −0.922981 0.384845i \(-0.874255\pi\)
0.794776 + 0.606903i \(0.207588\pi\)
\(522\) 3.18883 16.2546i 0.139571 0.711444i
\(523\) −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
\(525\) 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
\(528\) −31.7393 + 11.0825i −1.38127 + 0.482305i
\(529\) −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
\(534\) −2.41359 1.50860i −0.104446 0.0652834i
\(535\) 2.62777 + 1.51715i 0.113609 + 0.0655919i
\(536\) −2.49654 + 16.2297i −0.107834 + 0.701018i
\(537\) −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
\(540\) −21.6360 20.2513i −0.931066 0.871475i
\(541\) −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
\(543\) −10.2343 + 12.5968i −0.439194 + 0.540579i
\(544\) 11.5003 + 16.1675i 0.493070 + 0.693174i
\(545\) −25.8771 −1.10845
\(546\) 13.7979 + 11.3029i 0.590494 + 0.483718i
\(547\) 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
\(549\) −5.56053 + 4.97442i −0.237317 + 0.212303i
\(550\) 2.65078 + 21.3272i 0.113029 + 0.909394i
\(551\) 12.2787 + 21.2673i 0.523088 + 0.906016i
\(552\) −17.4669 + 3.76463i −0.743442 + 0.160233i
\(553\) −8.98443 + 11.7868i −0.382057 + 0.501225i
\(554\) −11.2326 14.8603i −0.477229 0.631353i
\(555\) 2.16791 + 5.67487i 0.0920227 + 0.240885i
\(556\) 0.155847 + 0.160429i 0.00660937 + 0.00680369i
\(557\) 19.2814 33.3964i 0.816980 1.41505i −0.0909180 0.995858i \(-0.528980\pi\)
0.907898 0.419192i \(-0.137687\pi\)
\(558\) 2.76329 3.16769i 0.116979 0.134099i
\(559\) 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 0.280100 0.959971i \(-0.409632\pi\)
−0.691309 + 0.722559i \(0.742966\pi\)
\(564\) 22.3472 + 31.8230i 0.940988 + 1.33999i
\(565\) 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 \(0.557496\pi\)
\(570\) 43.9078 + 1.53880i 1.83910 + 0.0644531i
\(571\) −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
\(576\) 19.4963 + 13.9962i 0.812345 + 0.583177i
\(577\) 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
\(579\) 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
\(582\) 12.7562 + 23.9982i 0.528763 + 0.994759i
\(583\) −4.87263 8.43964i −0.201804 0.349534i
\(584\) 0.144505 0.939414i 0.00597967 0.0388732i
\(585\) −15.6982 17.5478i −0.649040 0.725513i
\(586\) 9.82690 23.2466i 0.405946 0.960307i
\(587\) 15.2002i 0.627381i −0.949525 0.313691i \(-0.898435\pi\)
0.949525 0.313691i \(-0.101565\pi\)
\(588\) 15.4420 18.6961i 0.636816 0.771016i
\(589\) 6.23194i 0.256783i
\(590\) 3.82166 + 1.61551i 0.157335 + 0.0665095i
\(591\) 2.99687 3.68868i 0.123275 0.151732i
\(592\) −2.33543 4.33010i −0.0959854 0.177966i
\(593\) 4.55071 + 7.88206i 0.186875 + 0.323678i 0.944207 0.329353i \(-0.106831\pi\)
−0.757332 + 0.653031i \(0.773497\pi\)
\(594\) −35.1366 + 6.07449i −1.44167 + 0.249240i
\(595\) −24.4148 + 10.2048i −1.00091 + 0.418355i
\(596\) −5.99943 + 21.1593i −0.245746 + 0.866717i
\(597\) 37.7075 14.4050i 1.54326 0.589557i
\(598\) −14.0877 + 1.75097i −0.576087 + 0.0716024i
\(599\) 37.6136 + 21.7162i 1.53685 + 0.887302i 0.999021 + 0.0442488i \(0.0140894\pi\)
0.537831 + 0.843053i \(0.319244\pi\)
\(600\) 11.3725 10.2985i 0.464278 0.420434i
\(601\) 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
\(606\) 17.4197 + 0.610490i 0.707625 + 0.0247995i
\(607\) 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
\(612\) 9.22033 + 18.9165i 0.372710 + 0.764654i
\(613\) −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 \(-0.900192\pi\)
0.951243 0.308444i \(-0.0998081\pi\)
\(618\) 2.25648 3.61013i 0.0907691 0.145221i
\(619\) −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
\(621\) −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
\(624\) 14.4447 + 12.4473i 0.578251 + 0.498290i
\(625\) 15.4254 + 26.7176i 0.617017 + 1.06871i
\(626\) 37.4267 4.65180i 1.49587 0.185923i
\(627\) 33.3344 41.0294i 1.33125 1.63856i
\(628\) 21.0280 5.30920i 0.839110 0.211860i
\(629\) 4.31380i 0.172002i
\(630\) −23.9424 + 21.2454i −0.953887 + 0.846435i
\(631\) −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
\(633\) 27.4128 + 22.2715i 1.08956 + 0.885215i
\(634\) −5.02703 40.4457i −0.199649 1.60630i
\(635\) −38.6170 + 22.2955i −1.53247 + 0.884770i
\(636\) −2.93162 + 6.30923i −0.116246 + 0.250177i
\(637\) 13.5351 13.7098i 0.536281 0.543203i
\(638\) 21.3735 16.1559i 0.846184 0.639616i
\(639\) 28.6384 5.99103i 1.13292 0.237001i
\(640\) −20.9121 + 24.5673i −0.826622 + 0.971108i
\(641\) −7.03036 4.05898i −0.277683 0.160320i 0.354691 0.934984i \(-0.384586\pi\)
−0.632374 + 0.774663i \(0.717919\pi\)
\(642\) −2.21018 1.38146i −0.0872287 0.0545217i
\(643\) 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 \(0.445069\pi\)
−0.939020 + 0.343863i \(0.888264\pi\)
\(648\) 17.9642 + 18.0357i 0.705702 + 0.708508i
\(649\) 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 0.983326 0.181849i \(-0.0582083\pi\)
−0.649149 + 0.760661i \(0.724875\pi\)
\(654\) 22.2142 + 0.778521i 0.868645 + 0.0304426i
\(655\) −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 \(-0.456527\pi\)
0.136150 + 0.990688i \(0.456527\pi\)
\(660\) −4.24257 47.7456i −0.165142 1.85849i
\(661\) 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
\(663\) 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
\(666\) −1.69032 4.93683i −0.0654985 0.191298i
\(667\) 12.3322 7.12002i 0.477506 0.275688i
\(668\) 10.8011 + 11.1186i 0.417907 + 0.430193i
\(669\) 15.4145 + 12.5236i 0.595961 + 0.484189i
\(670\) −21.5651 9.11610i −0.833133 0.352186i
\(671\) −12.0677 −0.465869
\(672\) 17.0013 19.5692i 0.655841 0.754899i
\(673\) 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
\(675\) 13.6904 8.79702i 0.526945 0.338597i
\(676\) −7.56063 7.78291i −0.290794 0.299343i
\(677\) 8.53140 4.92561i 0.327888 0.189306i −0.327015 0.945019i \(-0.606043\pi\)
0.654903 + 0.755713i \(0.272709\pi\)
\(678\) −19.3293 36.3642i −0.742339 1.39656i
\(679\) 27.0847 11.3207i 1.03942 0.434450i
\(680\) −26.3644 + 10.2552i −1.01103 + 0.393270i
\(681\) 34.3208 13.1112i 1.31518 0.502422i
\(682\) 6.74725 0.838621i 0.258365 0.0321125i
\(683\) 20.1018 34.8173i 0.769173 1.33225i −0.168839 0.985644i \(-0.554002\pi\)
0.938012 0.346603i \(-0.112665\pi\)
\(684\) −37.6465 2.64197i −1.43945 0.101018i
\(685\) 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
\(690\) 0.892301 25.4608i 0.0339693 0.969277i
\(691\) 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
\(693\) 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
\(696\) −18.2075 5.85883i −0.690155 0.222078i
\(697\) −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 \(-0.689198\pi\)
−0.559997 + 0.828495i \(0.689198\pi\)
\(702\) 12.9482 + 15.5363i 0.488699 + 0.586379i
\(703\) 6.69969 + 3.86807i 0.252684 + 0.145887i
\(704\) 8.40869 + 37.8977i 0.316915 + 1.42832i
\(705\) −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
\(708\) −3.23211 1.50182i −0.121470 0.0564417i
\(709\) −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
\(711\) −12.5246 + 11.2044i −0.469709 + 0.420199i
\(712\) −2.05693 + 2.56335i −0.0770868 + 0.0960654i
\(713\) 3.61371 0.135335
\(714\) 21.2660 8.02580i 0.795860 0.300358i
\(715\) 38.0831i 1.42423i
\(716\) −41.9256 + 10.5855i −1.56683 + 0.395598i
\(717\) −11.1963 9.09648i −0.418135 0.339714i
\(718\) −15.9426 + 1.98152i −0.594971 + 0.0739495i
\(719\) 8.51080 + 14.7411i 0.317399 + 0.549752i 0.979945 0.199270i \(-0.0638572\pi\)
−0.662545 + 0.749022i \(0.730524\pi\)
\(720\) −26.1538 + 22.0670i −0.974695 + 0.822389i
\(721\) −3.65713 2.78763i −0.136199 0.103817i
\(722\) 23.1979 17.5349i 0.863335 0.652580i
\(723\) −11.6604 + 4.45448i −0.433653 + 0.165664i
\(724\) 13.0585 + 13.4424i 0.485316 + 0.499584i
\(725\) −6.11364 + 10.5891i −0.227055 + 0.393271i
\(726\) −26.0594 16.2883i −0.967155 0.604514i
\(727\) 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
\(732\) 4.95097 + 7.05031i 0.182993 + 0.260587i
\(733\) −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
\(735\) 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
\(738\) −1.72057 + 8.77034i −0.0633350 + 0.322841i
\(739\) 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 \(-0.903096\pi\)
0.954017 0.299751i \(-0.0969036\pi\)
\(744\) −3.25811 3.59788i −0.119448 0.131905i
\(745\) −27.1572 15.6792i −0.994962 0.574441i
\(746\) −43.9604 + 5.46388i −1.60950 + 0.200047i
\(747\) −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
\(750\) −6.12500 11.5229i −0.223653 0.420758i
\(751\) 6.17492 + 10.6953i 0.225326 + 0.390276i 0.956417 0.292004i \(-0.0943219\pi\)
−0.731091 + 0.682280i \(0.760989\pi\)
\(752\) 39.5198 21.3149i 1.44114 0.777273i
\(753\) 11.3092 + 9.18817i 0.412130 + 0.334836i
\(754\) −13.9970 5.91690i −0.509742 0.215481i
\(755\) 23.7670i 0.864969i
\(756\) 21.1926 17.5178i 0.770767 0.637117i
\(757\) 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
\(759\) −23.7917 19.3296i −0.863583 0.701620i
\(760\) 7.71305 50.1418i 0.279782 1.81883i
\(761\) −15.5050 26.8554i −0.562055 0.973507i −0.997317 0.0732037i \(-0.976678\pi\)
0.435262 0.900304i \(-0.356656\pi\)
\(762\) 33.8216 17.9778i 1.22523 0.651269i
\(763\) 3.05745 23.8134i 0.110687 0.862102i
\(764\) −17.1226 4.85489i −0.619474 0.175644i
\(765\) −29.3690 + 6.14387i −1.06184 + 0.222132i
\(766\) 4.42015 + 35.5629i 0.159706 + 1.28494i
\(767\) −2.45221 1.41578i −0.0885442 0.0511210i
\(768\) 18.6911 20.4607i 0.674458 0.738313i
\(769\) 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
\(773\) &minu