Properties

Label 168.2.v.a.107.16
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.16
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.248376 + 1.39223i) q^{2} +(-1.64844 + 0.531631i) q^{3} +(-1.87662 + 0.691593i) q^{4} +(-0.646402 + 1.11960i) q^{5} +(-1.14959 - 2.16297i) q^{6} +(-2.42742 - 1.05244i) q^{7} +(-1.42896 - 2.44091i) q^{8} +(2.43474 - 1.75273i) q^{9} +O(q^{10})\) \(q+(0.248376 + 1.39223i) q^{2} +(-1.64844 + 0.531631i) q^{3} +(-1.87662 + 0.691593i) q^{4} +(-0.646402 + 1.11960i) q^{5} +(-1.14959 - 2.16297i) q^{6} +(-2.42742 - 1.05244i) q^{7} +(-1.42896 - 2.44091i) q^{8} +(2.43474 - 1.75273i) q^{9} +(-1.71929 - 0.621859i) q^{10} +(-1.60004 + 0.923782i) q^{11} +(2.72583 - 2.13772i) q^{12} +2.25432i q^{13} +(0.862334 - 3.64093i) q^{14} +(0.470342 - 2.18925i) q^{15} +(3.04340 - 2.59571i) q^{16} +(-3.89580 + 2.24924i) q^{17} +(3.04493 + 2.95438i) q^{18} +(-2.80851 + 4.86448i) q^{19} +(0.438742 - 2.54811i) q^{20} +(4.56098 + 0.444404i) q^{21} +(-1.68353 - 1.99818i) q^{22} +(0.519880 - 0.900459i) q^{23} +(3.65323 + 3.26403i) q^{24} +(1.66433 + 2.88270i) q^{25} +(-3.13853 + 0.559917i) q^{26} +(-3.08172 + 4.18366i) q^{27} +(5.28320 + 0.296251i) q^{28} -1.32085 q^{29} +(3.16476 + 0.111070i) q^{30} +(3.69700 - 2.13446i) q^{31} +(4.36974 + 3.59240i) q^{32} +(2.14646 - 2.37343i) q^{33} +(-4.09909 - 4.86521i) q^{34} +(2.74740 - 2.03744i) q^{35} +(-3.35690 + 4.97305i) q^{36} +(8.18394 + 4.72500i) q^{37} +(-7.47005 - 2.70188i) q^{38} +(-1.19846 - 3.71611i) q^{39} +(3.65653 - 0.0220581i) q^{40} -1.39634i q^{41} +(0.514122 + 6.46032i) q^{42} -6.02578 q^{43} +(2.36378 - 2.84016i) q^{44} +(0.388538 + 3.85890i) q^{45} +(1.38277 + 0.500142i) q^{46} +(-5.90249 + 10.2234i) q^{47} +(-3.63691 + 5.89685i) q^{48} +(4.78472 + 5.10944i) q^{49} +(-3.60001 + 3.03313i) q^{50} +(5.22625 - 5.77888i) q^{51} +(-1.55907 - 4.23049i) q^{52} +(-6.02901 - 10.4425i) q^{53} +(-6.59005 - 3.25135i) q^{54} -2.38854i q^{55} +(0.899769 + 7.42903i) q^{56} +(2.04356 - 9.51192i) q^{57} +(-0.328068 - 1.83894i) q^{58} +(9.57732 - 5.52947i) q^{59} +(0.631413 + 4.43367i) q^{60} +(-7.65220 - 4.41800i) q^{61} +(3.88991 + 4.61693i) q^{62} +(-7.75477 + 1.69218i) q^{63} +(-3.91612 + 6.97596i) q^{64} +(-2.52393 - 1.45719i) q^{65} +(3.83750 + 2.39887i) q^{66} +(3.05545 + 5.29219i) q^{67} +(5.75538 - 6.91528i) q^{68} +(-0.378281 + 1.76074i) q^{69} +(3.51897 + 3.31897i) q^{70} +14.0121 q^{71} +(-7.75741 - 3.43840i) q^{72} +(-4.38664 - 7.59788i) q^{73} +(-4.54561 + 12.5675i) q^{74} +(-4.27609 - 3.86717i) q^{75} +(1.90626 - 11.0711i) q^{76} +(4.85619 - 0.558456i) q^{77} +(4.87602 - 2.59153i) q^{78} +(-2.37061 - 1.36867i) q^{79} +(0.938904 + 5.08526i) q^{80} +(2.85588 - 8.53487i) q^{81} +(1.94403 - 0.346817i) q^{82} -4.74366i q^{83} +(-8.86656 + 2.32036i) q^{84} -5.81566i q^{85} +(-1.49666 - 8.38928i) q^{86} +(2.17736 - 0.702207i) q^{87} +(4.54127 + 2.58550i) q^{88} +(8.31219 + 4.79904i) q^{89} +(-5.27598 + 1.49939i) q^{90} +(2.37254 - 5.47217i) q^{91} +(-0.352866 + 2.04936i) q^{92} +(-4.95955 + 5.48398i) q^{93} +(-15.6994 - 5.67839i) q^{94} +(-3.63085 - 6.28882i) q^{95} +(-9.11311 - 3.59879i) q^{96} -8.73466 q^{97} +(-5.92512 + 7.93051i) q^{98} +(-2.27653 + 5.05360i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.248376 + 1.39223i 0.175628 + 0.984457i
\(3\) −1.64844 + 0.531631i −0.951730 + 0.306937i
\(4\) −1.87662 + 0.691593i −0.938310 + 0.345796i
\(5\) −0.646402 + 1.11960i −0.289080 + 0.500700i −0.973590 0.228302i \(-0.926683\pi\)
0.684511 + 0.729003i \(0.260016\pi\)
\(6\) −1.14959 2.16297i −0.469317 0.883030i
\(7\) −2.42742 1.05244i −0.917478 0.397786i
\(8\) −1.42896 2.44091i −0.505215 0.862993i
\(9\) 2.43474 1.75273i 0.811579 0.584243i
\(10\) −1.71929 0.621859i −0.543688 0.196649i
\(11\) −1.60004 + 0.923782i −0.482430 + 0.278531i −0.721428 0.692489i \(-0.756514\pi\)
0.238999 + 0.971020i \(0.423181\pi\)
\(12\) 2.72583 2.13772i 0.786879 0.617107i
\(13\) 2.25432i 0.625235i 0.949879 + 0.312617i \(0.101206\pi\)
−0.949879 + 0.312617i \(0.898794\pi\)
\(14\) 0.862334 3.64093i 0.230469 0.973080i
\(15\) 0.470342 2.18925i 0.121442 0.565261i
\(16\) 3.04340 2.59571i 0.760850 0.648928i
\(17\) −3.89580 + 2.24924i −0.944871 + 0.545522i −0.891484 0.453052i \(-0.850335\pi\)
−0.0533874 + 0.998574i \(0.517002\pi\)
\(18\) 3.04493 + 2.95438i 0.717698 + 0.696355i
\(19\) −2.80851 + 4.86448i −0.644317 + 1.11599i 0.340142 + 0.940374i \(0.389525\pi\)
−0.984459 + 0.175615i \(0.943809\pi\)
\(20\) 0.438742 2.54811i 0.0981056 0.569775i
\(21\) 4.56098 + 0.444404i 0.995287 + 0.0969769i
\(22\) −1.68353 1.99818i −0.358930 0.426013i
\(23\) 0.519880 0.900459i 0.108402 0.187759i −0.806721 0.590933i \(-0.798760\pi\)
0.915123 + 0.403174i \(0.132093\pi\)
\(24\) 3.65323 + 3.26403i 0.745713 + 0.666267i
\(25\) 1.66433 + 2.88270i 0.332866 + 0.576541i
\(26\) −3.13853 + 0.559917i −0.615517 + 0.109809i
\(27\) −3.08172 + 4.18366i −0.593078 + 0.805145i
\(28\) 5.28320 + 0.296251i 0.998432 + 0.0559862i
\(29\) −1.32085 −0.245277 −0.122638 0.992451i \(-0.539135\pi\)
−0.122638 + 0.992451i \(0.539135\pi\)
\(30\) 3.16476 + 0.111070i 0.577803 + 0.0202786i
\(31\) 3.69700 2.13446i 0.664000 0.383361i −0.129799 0.991540i \(-0.541433\pi\)
0.793800 + 0.608179i \(0.208100\pi\)
\(32\) 4.36974 + 3.59240i 0.772468 + 0.635053i
\(33\) 2.14646 2.37343i 0.373651 0.413162i
\(34\) −4.09909 4.86521i −0.702988 0.834376i
\(35\) 2.74740 2.03744i 0.464396 0.344390i
\(36\) −3.35690 + 4.97305i −0.559483 + 0.828842i
\(37\) 8.18394 + 4.72500i 1.34543 + 0.776786i 0.987599 0.157000i \(-0.0501822\pi\)
0.357834 + 0.933785i \(0.383516\pi\)
\(38\) −7.47005 2.70188i −1.21180 0.438303i
\(39\) −1.19846 3.71611i −0.191908 0.595055i
\(40\) 3.65653 0.0220581i 0.578149 0.00348770i
\(41\) 1.39634i 0.218072i −0.994038 0.109036i \(-0.965224\pi\)
0.994038 0.109036i \(-0.0347764\pi\)
\(42\) 0.514122 + 6.46032i 0.0793308 + 0.996848i
\(43\) −6.02578 −0.918922 −0.459461 0.888198i \(-0.651957\pi\)
−0.459461 + 0.888198i \(0.651957\pi\)
\(44\) 2.36378 2.84016i 0.356353 0.428171i
\(45\) 0.388538 + 3.85890i 0.0579198 + 0.575251i
\(46\) 1.38277 + 0.500142i 0.203879 + 0.0737418i
\(47\) −5.90249 + 10.2234i −0.860966 + 1.49124i 0.0100312 + 0.999950i \(0.496807\pi\)
−0.870997 + 0.491288i \(0.836526\pi\)
\(48\) −3.63691 + 5.89685i −0.524943 + 0.851138i
\(49\) 4.78472 + 5.10944i 0.683532 + 0.729921i
\(50\) −3.60001 + 3.03313i −0.509119 + 0.428949i
\(51\) 5.22625 5.77888i 0.731821 0.809206i
\(52\) −1.55907 4.23049i −0.216204 0.586664i
\(53\) −6.02901 10.4425i −0.828148 1.43439i −0.899489 0.436943i \(-0.856061\pi\)
0.0713414 0.997452i \(-0.477272\pi\)
\(54\) −6.59005 3.25135i −0.896792 0.442453i
\(55\) 2.38854i 0.322070i
\(56\) 0.899769 + 7.42903i 0.120237 + 0.992745i
\(57\) 2.04356 9.51192i 0.270676 1.25988i
\(58\) −0.328068 1.83894i −0.0430775 0.241464i
\(59\) 9.57732 5.52947i 1.24686 0.719875i 0.276378 0.961049i \(-0.410866\pi\)
0.970482 + 0.241174i \(0.0775324\pi\)
\(60\) 0.631413 + 4.43367i 0.0815151 + 0.572384i
\(61\) −7.65220 4.41800i −0.979764 0.565667i −0.0775652 0.996987i \(-0.524715\pi\)
−0.902199 + 0.431320i \(0.858048\pi\)
\(62\) 3.88991 + 4.61693i 0.494019 + 0.586351i
\(63\) −7.75477 + 1.69218i −0.977010 + 0.213195i
\(64\) −3.91612 + 6.97596i −0.489515 + 0.871995i
\(65\) −2.52393 1.45719i −0.313055 0.180743i
\(66\) 3.83750 + 2.39887i 0.472363 + 0.295280i
\(67\) 3.05545 + 5.29219i 0.373283 + 0.646544i 0.990068 0.140587i \(-0.0448989\pi\)
−0.616786 + 0.787131i \(0.711566\pi\)
\(68\) 5.75538 6.91528i 0.697942 0.838601i
\(69\) −0.378281 + 1.76074i −0.0455397 + 0.211968i
\(70\) 3.51897 + 3.31897i 0.420598 + 0.396693i
\(71\) 14.0121 1.66293 0.831464 0.555578i \(-0.187503\pi\)
0.831464 + 0.555578i \(0.187503\pi\)
\(72\) −7.75741 3.43840i −0.914220 0.405219i
\(73\) −4.38664 7.59788i −0.513417 0.889264i −0.999879 0.0155626i \(-0.995046\pi\)
0.486462 0.873702i \(-0.338287\pi\)
\(74\) −4.54561 + 12.5675i −0.528416 + 1.46095i
\(75\) −4.27609 3.86717i −0.493760 0.446542i
\(76\) 1.90626 11.0711i 0.218663 1.26995i
\(77\) 4.85619 0.558456i 0.553414 0.0636420i
\(78\) 4.87602 2.59153i 0.552101 0.293433i
\(79\) −2.37061 1.36867i −0.266714 0.153987i 0.360679 0.932690i \(-0.382545\pi\)
−0.627393 + 0.778702i \(0.715878\pi\)
\(80\) 0.938904 + 5.08526i 0.104973 + 0.568550i
\(81\) 2.85588 8.53487i 0.317320 0.948318i
\(82\) 1.94403 0.346817i 0.214682 0.0382996i
\(83\) 4.74366i 0.520685i −0.965516 0.260342i \(-0.916165\pi\)
0.965516 0.260342i \(-0.0838354\pi\)
\(84\) −8.86656 + 2.32036i −0.967421 + 0.253172i
\(85\) 5.81566i 0.630797i
\(86\) −1.49666 8.38928i −0.161389 0.904639i
\(87\) 2.17736 0.702207i 0.233437 0.0752845i
\(88\) 4.54127 + 2.58550i 0.484101 + 0.275616i
\(89\) 8.31219 + 4.79904i 0.881090 + 0.508697i 0.871018 0.491252i \(-0.163461\pi\)
0.0100723 + 0.999949i \(0.496794\pi\)
\(90\) −5.27598 + 1.49939i −0.556137 + 0.158050i
\(91\) 2.37254 5.47217i 0.248710 0.573639i
\(92\) −0.352866 + 2.04936i −0.0367888 + 0.213661i
\(93\) −4.95955 + 5.48398i −0.514281 + 0.568662i
\(94\) −15.6994 5.67839i −1.61927 0.585681i
\(95\) −3.63085 6.28882i −0.372517 0.645219i
\(96\) −9.11311 3.59879i −0.930103 0.367300i
\(97\) −8.73466 −0.886871 −0.443435 0.896306i \(-0.646240\pi\)
−0.443435 + 0.896306i \(0.646240\pi\)
\(98\) −5.92512 + 7.93051i −0.598528 + 0.801102i
\(99\) −2.27653 + 5.05360i −0.228800 + 0.507906i
\(100\) −5.11697 4.25870i −0.511697 0.425870i
\(101\) 3.42033 + 5.92419i 0.340336 + 0.589479i 0.984495 0.175413i \(-0.0561259\pi\)
−0.644159 + 0.764891i \(0.722793\pi\)
\(102\) 9.34362 + 5.84082i 0.925156 + 0.578327i
\(103\) 3.88733 + 2.24435i 0.383030 + 0.221143i 0.679136 0.734013i \(-0.262355\pi\)
−0.296106 + 0.955155i \(0.595688\pi\)
\(104\) 5.50259 3.22134i 0.539574 0.315878i
\(105\) −3.44578 + 4.81921i −0.336273 + 0.470306i
\(106\) 13.0410 10.9875i 1.26665 1.06720i
\(107\) −6.27888 3.62511i −0.607002 0.350453i 0.164789 0.986329i \(-0.447306\pi\)
−0.771791 + 0.635876i \(0.780639\pi\)
\(108\) 2.88983 9.98243i 0.278074 0.960560i
\(109\) −10.6680 + 6.15916i −1.02181 + 0.589941i −0.914627 0.404299i \(-0.867516\pi\)
−0.107180 + 0.994240i \(0.534182\pi\)
\(110\) 3.32540 0.593254i 0.317064 0.0565646i
\(111\) −16.0027 3.43806i −1.51891 0.326326i
\(112\) −10.1194 + 3.09788i −0.956198 + 0.292722i
\(113\) 7.27566i 0.684437i 0.939620 + 0.342218i \(0.111178\pi\)
−0.939620 + 0.342218i \(0.888822\pi\)
\(114\) 13.7504 + 0.482583i 1.28784 + 0.0451980i
\(115\) 0.672102 + 1.16412i 0.0626739 + 0.108554i
\(116\) 2.47874 0.913494i 0.230145 0.0848158i
\(117\) 3.95120 + 5.48867i 0.365289 + 0.507427i
\(118\) 10.0771 + 11.9605i 0.927669 + 1.10105i
\(119\) 11.8240 1.35974i 1.08390 0.124647i
\(120\) −6.01586 + 1.98029i −0.549171 + 0.180775i
\(121\) −3.79325 + 6.57011i −0.344841 + 0.597282i
\(122\) 4.25026 11.7510i 0.384801 1.06388i
\(123\) 0.742339 + 2.30179i 0.0669344 + 0.207546i
\(124\) −5.46168 + 6.56239i −0.490473 + 0.589320i
\(125\) −10.7673 −0.963058
\(126\) −4.28201 10.3761i −0.381472 0.924381i
\(127\) 21.7722i 1.93197i 0.258595 + 0.965986i \(0.416740\pi\)
−0.258595 + 0.965986i \(0.583260\pi\)
\(128\) −10.6848 3.71949i −0.944414 0.328760i
\(129\) 9.93316 3.20349i 0.874566 0.282052i
\(130\) 1.40187 3.87583i 0.122952 0.339933i
\(131\) 4.65916 + 2.68997i 0.407073 + 0.235024i 0.689531 0.724256i \(-0.257817\pi\)
−0.282458 + 0.959280i \(0.591150\pi\)
\(132\) −2.38664 + 5.93851i −0.207730 + 0.516881i
\(133\) 11.9370 8.85234i 1.03507 0.767595i
\(134\) −6.60906 + 5.56835i −0.570936 + 0.481032i
\(135\) −2.69199 6.15462i −0.231690 0.529705i
\(136\) 11.0572 + 6.29524i 0.948145 + 0.539812i
\(137\) −11.3713 + 6.56523i −0.971517 + 0.560905i −0.899698 0.436512i \(-0.856214\pi\)
−0.0718185 + 0.997418i \(0.522880\pi\)
\(138\) −2.54531 0.0893303i −0.216672 0.00760430i
\(139\) 12.9760 1.10061 0.550307 0.834963i \(-0.314511\pi\)
0.550307 + 0.834963i \(0.314511\pi\)
\(140\) −3.74675 + 5.72358i −0.316658 + 0.483731i
\(141\) 4.29484 19.9907i 0.361691 1.68352i
\(142\) 3.48026 + 19.5081i 0.292057 + 1.63708i
\(143\) −2.08250 3.60699i −0.174147 0.301632i
\(144\) 2.86029 11.6541i 0.238358 0.971177i
\(145\) 0.853802 1.47883i 0.0709044 0.122810i
\(146\) 9.48848 7.99434i 0.785272 0.661617i
\(147\) −10.6037 5.87893i −0.874578 0.484886i
\(148\) −18.6259 3.20707i −1.53104 0.263620i
\(149\) 3.42033 5.92419i 0.280205 0.485328i −0.691230 0.722634i \(-0.742931\pi\)
0.971435 + 0.237306i \(0.0762644\pi\)
\(150\) 4.32192 6.91382i 0.352883 0.564511i
\(151\) −3.16245 + 1.82584i −0.257356 + 0.148585i −0.623128 0.782120i \(-0.714138\pi\)
0.365772 + 0.930705i \(0.380805\pi\)
\(152\) 15.8870 0.0958391i 1.28861 0.00777358i
\(153\) −5.54294 + 12.3046i −0.448120 + 0.994768i
\(154\) 1.98366 + 6.62224i 0.159848 + 0.533635i
\(155\) 5.51888i 0.443287i
\(156\) 4.81910 + 6.14488i 0.385837 + 0.491984i
\(157\) −2.34584 + 1.35437i −0.187219 + 0.108091i −0.590680 0.806906i \(-0.701140\pi\)
0.403461 + 0.914997i \(0.367807\pi\)
\(158\) 1.31671 3.64038i 0.104751 0.289613i
\(159\) 15.4901 + 14.0088i 1.22844 + 1.11097i
\(160\) −6.84666 + 2.57023i −0.541276 + 0.203194i
\(161\) −2.20965 + 1.63865i −0.174145 + 0.129143i
\(162\) 12.5918 + 1.85620i 0.989309 + 0.145837i
\(163\) 4.41842 7.65293i 0.346078 0.599424i −0.639471 0.768815i \(-0.720847\pi\)
0.985549 + 0.169391i \(0.0541801\pi\)
\(164\) 0.965700 + 2.62040i 0.0754085 + 0.204619i
\(165\) 1.26982 + 3.93737i 0.0988554 + 0.306524i
\(166\) 6.60428 1.17821i 0.512591 0.0914469i
\(167\) 11.8815 0.919417 0.459709 0.888070i \(-0.347954\pi\)
0.459709 + 0.888070i \(0.347954\pi\)
\(168\) −5.43272 11.7680i −0.419143 0.907920i
\(169\) 7.91806 0.609081
\(170\) 8.09674 1.44447i 0.620992 0.110786i
\(171\) 1.68814 + 16.7663i 0.129095 + 1.28215i
\(172\) 11.3081 4.16738i 0.862234 0.317760i
\(173\) −3.12500 + 5.41265i −0.237589 + 0.411516i −0.960022 0.279925i \(-0.909691\pi\)
0.722433 + 0.691441i \(0.243024\pi\)
\(174\) 1.51844 + 2.85697i 0.115112 + 0.216586i
\(175\) −1.00614 8.74915i −0.0760571 0.661373i
\(176\) −2.47168 + 6.96468i −0.186310 + 0.524982i
\(177\) −12.8480 + 14.2066i −0.965717 + 1.06783i
\(178\) −4.61684 + 12.7645i −0.346046 + 0.956736i
\(179\) −1.43978 + 0.831255i −0.107614 + 0.0621309i −0.552841 0.833287i \(-0.686456\pi\)
0.445227 + 0.895418i \(0.353123\pi\)
\(180\) −3.39792 6.97297i −0.253266 0.519735i
\(181\) 4.46877i 0.332161i −0.986112 0.166081i \(-0.946889\pi\)
0.986112 0.166081i \(-0.0531112\pi\)
\(182\) 8.20781 + 1.94397i 0.608403 + 0.144097i
\(183\) 14.9630 + 3.21468i 1.10609 + 0.237636i
\(184\) −2.94083 + 0.0177407i −0.216801 + 0.00130786i
\(185\) −10.5802 + 6.10850i −0.777874 + 0.449106i
\(186\) −8.86681 5.54275i −0.650146 0.406414i
\(187\) 4.15562 7.19775i 0.303889 0.526352i
\(188\) 4.00628 23.2676i 0.292188 1.69696i
\(189\) 11.8837 6.91215i 0.864412 0.502785i
\(190\) 7.85368 6.61698i 0.569766 0.480046i
\(191\) −11.2771 + 19.5325i −0.815982 + 1.41332i 0.0926380 + 0.995700i \(0.470470\pi\)
−0.908620 + 0.417623i \(0.862863\pi\)
\(192\) 2.74687 13.5814i 0.198238 0.980154i
\(193\) −2.90298 5.02810i −0.208961 0.361931i 0.742427 0.669927i \(-0.233675\pi\)
−0.951387 + 0.307997i \(0.900341\pi\)
\(194\) −2.16948 12.1607i −0.155759 0.873086i
\(195\) 4.93525 + 1.06030i 0.353421 + 0.0759297i
\(196\) −12.5128 6.27940i −0.893768 0.448529i
\(197\) 3.15873 0.225050 0.112525 0.993649i \(-0.464106\pi\)
0.112525 + 0.993649i \(0.464106\pi\)
\(198\) −7.60122 1.91427i −0.540195 0.136041i
\(199\) 12.2352 7.06397i 0.867327 0.500751i 0.000867851 1.00000i \(-0.499724\pi\)
0.866459 + 0.499248i \(0.166390\pi\)
\(200\) 4.65817 8.18177i 0.329382 0.578538i
\(201\) −7.85023 7.09951i −0.553713 0.500761i
\(202\) −7.39832 + 6.23332i −0.520544 + 0.438575i
\(203\) 3.20627 + 1.39013i 0.225036 + 0.0975677i
\(204\) −5.81104 + 14.4592i −0.406854 + 1.01235i
\(205\) 1.56334 + 0.902597i 0.109189 + 0.0630401i
\(206\) −2.15914 + 5.96951i −0.150434 + 0.415915i
\(207\) −0.312489 3.10359i −0.0217195 0.215714i
\(208\) 5.85156 + 6.86078i 0.405733 + 0.475710i
\(209\) 10.3778i 0.717848i
\(210\) −7.56530 3.60035i −0.522055 0.248447i
\(211\) 1.95410 0.134526 0.0672629 0.997735i \(-0.478573\pi\)
0.0672629 + 0.997735i \(0.478573\pi\)
\(212\) 18.5361 + 15.4271i 1.27307 + 1.05954i
\(213\) −23.0981 + 7.44926i −1.58266 + 0.510415i
\(214\) 3.48748 9.64205i 0.238399 0.659117i
\(215\) 3.89507 6.74646i 0.265642 0.460105i
\(216\) 14.6156 + 1.54392i 0.994467 + 0.105051i
\(217\) −11.2206 + 1.29035i −0.761702 + 0.0875948i
\(218\) −11.2246 13.3225i −0.760229 0.902315i
\(219\) 11.2704 + 10.1926i 0.761583 + 0.688753i
\(220\) 1.65190 + 4.48237i 0.111371 + 0.302202i
\(221\) −5.07051 8.78238i −0.341079 0.590766i
\(222\) 0.811891 23.1334i 0.0544906 1.55262i
\(223\) 3.59985i 0.241064i 0.992709 + 0.120532i \(0.0384600\pi\)
−0.992709 + 0.120532i \(0.961540\pi\)
\(224\) −6.82638 13.3192i −0.456107 0.889925i
\(225\) 9.10480 + 4.10151i 0.606987 + 0.273434i
\(226\) −10.1294 + 1.80710i −0.673798 + 0.120206i
\(227\) −5.05015 + 2.91571i −0.335190 + 0.193522i −0.658143 0.752893i \(-0.728658\pi\)
0.322953 + 0.946415i \(0.395325\pi\)
\(228\) 2.74339 + 19.2636i 0.181685 + 1.27576i
\(229\) −11.2803 6.51269i −0.745424 0.430371i 0.0786144 0.996905i \(-0.474950\pi\)
−0.824038 + 0.566535i \(0.808284\pi\)
\(230\) −1.45378 + 1.22486i −0.0958597 + 0.0807649i
\(231\) −7.70827 + 3.50229i −0.507167 + 0.230433i
\(232\) 1.88745 + 3.22409i 0.123917 + 0.211672i
\(233\) 13.6565 + 7.88458i 0.894667 + 0.516536i 0.875466 0.483279i \(-0.160554\pi\)
0.0192009 + 0.999816i \(0.493888\pi\)
\(234\) −6.66011 + 6.86424i −0.435385 + 0.448730i
\(235\) −7.63075 13.2169i −0.497775 0.862172i
\(236\) −14.1488 + 17.0003i −0.921011 + 1.10663i
\(237\) 4.63544 + 0.995889i 0.301104 + 0.0646899i
\(238\) 4.82986 + 16.1240i 0.313073 + 1.04516i
\(239\) −22.7458 −1.47130 −0.735651 0.677361i \(-0.763124\pi\)
−0.735651 + 0.677361i \(0.763124\pi\)
\(240\) −4.25121 7.88362i −0.274415 0.508886i
\(241\) −6.82067 11.8137i −0.439358 0.760990i 0.558282 0.829651i \(-0.311461\pi\)
−0.997640 + 0.0686608i \(0.978127\pi\)
\(242\) −10.0893 3.64923i −0.648562 0.234582i
\(243\) −0.170365 + 15.5875i −0.0109289 + 0.999940i
\(244\) 17.4157 + 2.99870i 1.11493 + 0.191972i
\(245\) −8.81339 + 2.05422i −0.563067 + 0.131240i
\(246\) −3.02025 + 1.60522i −0.192564 + 0.102345i
\(247\) −10.9661 6.33127i −0.697755 0.402849i
\(248\) −10.4929 5.97398i −0.666301 0.379348i
\(249\) 2.52188 + 7.81966i 0.159818 + 0.495551i
\(250\) −2.67434 14.9906i −0.169140 0.948089i
\(251\) 5.33090i 0.336484i −0.985746 0.168242i \(-0.946191\pi\)
0.985746 0.168242i \(-0.0538089\pi\)
\(252\) 13.3825 8.53873i 0.843015 0.537889i
\(253\) 1.92102i 0.120774i
\(254\) −30.3120 + 5.40769i −1.90194 + 0.339308i
\(255\) 3.09179 + 9.58679i 0.193615 + 0.600348i
\(256\) 2.52455 15.7996i 0.157784 0.987474i
\(257\) −7.26678 4.19547i −0.453289 0.261707i 0.255929 0.966696i \(-0.417619\pi\)
−0.709218 + 0.704989i \(0.750952\pi\)
\(258\) 6.92716 + 13.0336i 0.431266 + 0.811436i
\(259\) −14.8931 20.0827i −0.925410 1.24788i
\(260\) 5.74425 + 0.989063i 0.356243 + 0.0613391i
\(261\) −3.21593 + 2.31510i −0.199061 + 0.143301i
\(262\) −2.58784 + 7.15476i −0.159877 + 0.442023i
\(263\) 1.58410 + 2.74375i 0.0976800 + 0.169187i 0.910724 0.413016i \(-0.135525\pi\)
−0.813044 + 0.582202i \(0.802191\pi\)
\(264\) −8.86056 1.84778i −0.545330 0.113723i
\(265\) 15.5886 0.957603
\(266\) 15.2894 + 14.4204i 0.937452 + 0.884172i
\(267\) −16.2535 3.49194i −0.994698 0.213703i
\(268\) −9.39396 7.81830i −0.573827 0.477579i
\(269\) 7.81827 + 13.5416i 0.476689 + 0.825649i 0.999643 0.0267117i \(-0.00850361\pi\)
−0.522955 + 0.852361i \(0.675170\pi\)
\(270\) 7.90003 5.27654i 0.480781 0.321120i
\(271\) −12.4371 7.18058i −0.755502 0.436189i 0.0721766 0.997392i \(-0.477005\pi\)
−0.827678 + 0.561203i \(0.810339\pi\)
\(272\) −6.01809 + 16.9577i −0.364901 + 1.02821i
\(273\) −1.00183 + 10.2819i −0.0606333 + 0.622288i
\(274\) −11.9647 14.2009i −0.722813 0.857905i
\(275\) −5.32598 3.07496i −0.321169 0.185427i
\(276\) −0.507826 3.56586i −0.0305675 0.214639i
\(277\) 3.23202 1.86601i 0.194193 0.112117i −0.399751 0.916624i \(-0.630903\pi\)
0.593944 + 0.804506i \(0.297570\pi\)
\(278\) 3.22293 + 18.0657i 0.193299 + 1.08351i
\(279\) 5.26008 11.6767i 0.314913 0.699065i
\(280\) −8.89915 3.79475i −0.531826 0.226780i
\(281\) 18.8375i 1.12375i −0.827223 0.561874i \(-0.810080\pi\)
0.827223 0.561874i \(-0.189920\pi\)
\(282\) 28.8984 + 1.01422i 1.72087 + 0.0603957i
\(283\) 10.7726 + 18.6586i 0.640362 + 1.10914i 0.985352 + 0.170534i \(0.0545492\pi\)
−0.344989 + 0.938607i \(0.612117\pi\)
\(284\) −26.2953 + 9.69066i −1.56034 + 0.575035i
\(285\) 9.32859 + 8.43649i 0.552578 + 0.499735i
\(286\) 4.50453 3.79521i 0.266358 0.224415i
\(287\) −1.46957 + 3.38951i −0.0867460 + 0.200076i
\(288\) 16.9357 + 1.08759i 0.997944 + 0.0640868i
\(289\) 1.61820 2.80280i 0.0951880 0.164870i
\(290\) 2.27094 + 0.821386i 0.133354 + 0.0482334i
\(291\) 14.3986 4.64362i 0.844061 0.272214i
\(292\) 13.4867 + 11.2246i 0.789249 + 0.656868i
\(293\) 4.13814 0.241753 0.120876 0.992668i \(-0.461430\pi\)
0.120876 + 0.992668i \(0.461430\pi\)
\(294\) 5.55113 16.2230i 0.323749 0.946143i
\(295\) 14.2970i 0.832405i
\(296\) −0.161238 26.7282i −0.00937180 1.55354i
\(297\) 1.06608 9.54085i 0.0618604 0.553616i
\(298\) 9.09737 + 3.29047i 0.526997 + 0.190612i
\(299\) 2.02992 + 1.17197i 0.117393 + 0.0677770i
\(300\) 10.6991 + 4.29989i 0.617713 + 0.248254i
\(301\) 14.6271 + 6.34179i 0.843091 + 0.365535i
\(302\) −3.32747 3.94937i −0.191474 0.227260i
\(303\) −8.78771 7.94734i −0.504841 0.456563i
\(304\) 4.07939 + 22.0946i 0.233969 + 1.26722i
\(305\) 9.89279 5.71160i 0.566459 0.327046i
\(306\) −18.5076 4.66090i −1.05801 0.266446i
\(307\) −4.63154 −0.264336 −0.132168 0.991227i \(-0.542194\pi\)
−0.132168 + 0.991227i \(0.542194\pi\)
\(308\) −8.72700 + 4.40652i −0.497267 + 0.251085i
\(309\) −7.60122 1.63306i −0.432418 0.0929017i
\(310\) −7.68356 + 1.37076i −0.436397 + 0.0778537i
\(311\) −7.04878 12.2088i −0.399700 0.692300i 0.593989 0.804473i \(-0.297552\pi\)
−0.993689 + 0.112173i \(0.964219\pi\)
\(312\) −7.35815 + 8.23554i −0.416573 + 0.466246i
\(313\) 6.95418 12.0450i 0.393074 0.680824i −0.599780 0.800165i \(-0.704745\pi\)
0.992853 + 0.119342i \(0.0380784\pi\)
\(314\) −2.46825 2.92956i −0.139292 0.165325i
\(315\) 3.11813 9.77608i 0.175687 0.550819i
\(316\) 5.39529 + 0.928978i 0.303509 + 0.0522591i
\(317\) 8.34364 14.4516i 0.468625 0.811683i −0.530731 0.847540i \(-0.678083\pi\)
0.999357 + 0.0358569i \(0.0114161\pi\)
\(318\) −15.6561 + 25.0452i −0.877949 + 1.40447i
\(319\) 2.11342 1.22018i 0.118329 0.0683171i
\(320\) −5.27890 8.89376i −0.295099 0.497176i
\(321\) 12.2776 + 2.63775i 0.685269 + 0.147225i
\(322\) −2.83020 2.66934i −0.157721 0.148757i
\(323\) 25.2681i 1.40595i
\(324\) 0.543246 + 17.9918i 0.0301803 + 0.999544i
\(325\) −6.49853 + 3.75193i −0.360473 + 0.208119i
\(326\) 11.7521 + 4.25067i 0.650888 + 0.235423i
\(327\) 14.3112 15.8245i 0.791410 0.875095i
\(328\) −3.40835 + 1.99532i −0.188195 + 0.110173i
\(329\) 25.0874 18.6045i 1.38311 1.02570i
\(330\) −5.16634 + 2.74583i −0.284398 + 0.151153i
\(331\) −4.82148 + 8.35105i −0.265012 + 0.459015i −0.967567 0.252615i \(-0.918709\pi\)
0.702554 + 0.711630i \(0.252043\pi\)
\(332\) 3.28068 + 8.90205i 0.180051 + 0.488563i
\(333\) 28.2074 2.84010i 1.54576 0.155636i
\(334\) 2.95107 + 16.5418i 0.161475 + 0.905126i
\(335\) −7.90019 −0.431633
\(336\) 15.0344 10.4865i 0.820194 0.572085i
\(337\) 29.4886 1.60635 0.803173 0.595746i \(-0.203144\pi\)
0.803173 + 0.595746i \(0.203144\pi\)
\(338\) 1.96665 + 11.0238i 0.106972 + 0.599614i
\(339\) −3.86797 11.9935i −0.210079 0.651399i
\(340\) 4.02207 + 10.9138i 0.218127 + 0.591883i
\(341\) −3.94356 + 6.83044i −0.213556 + 0.369889i
\(342\) −22.9233 + 6.51462i −1.23955 + 0.352270i
\(343\) −6.23712 17.4384i −0.336773 0.941586i
\(344\) 8.61062 + 14.7084i 0.464253 + 0.793024i
\(345\) −1.72680 1.56167i −0.0929680 0.0840774i
\(346\) −8.31184 3.00635i −0.446847 0.161622i
\(347\) −10.8911 + 6.28800i −0.584667 + 0.337558i −0.762986 0.646415i \(-0.776267\pi\)
0.178319 + 0.983973i \(0.442934\pi\)
\(348\) −3.60042 + 2.82362i −0.193003 + 0.151362i
\(349\) 34.5012i 1.84681i 0.383830 + 0.923404i \(0.374605\pi\)
−0.383830 + 0.923404i \(0.625395\pi\)
\(350\) 11.9309 3.57386i 0.637735 0.191031i
\(351\) −9.43129 6.94718i −0.503405 0.370813i
\(352\) −10.3103 1.71129i −0.549543 0.0912123i
\(353\) 9.10737 5.25815i 0.484737 0.279863i −0.237652 0.971350i \(-0.576378\pi\)
0.722388 + 0.691488i \(0.243044\pi\)
\(354\) −22.9700 14.3589i −1.22084 0.763165i
\(355\) −9.05743 + 15.6879i −0.480719 + 0.832629i
\(356\) −18.9178 3.25733i −1.00264 0.172638i
\(357\) −18.7682 + 8.52744i −0.993321 + 0.451320i
\(358\) −1.51491 1.79804i −0.0800652 0.0950293i
\(359\) 8.02903 13.9067i 0.423756 0.733967i −0.572547 0.819872i \(-0.694045\pi\)
0.996303 + 0.0859047i \(0.0273780\pi\)
\(360\) 8.86403 6.46262i 0.467175 0.340610i
\(361\) −6.27547 10.8694i −0.330288 0.572075i
\(362\) 6.22156 1.10993i 0.326998 0.0583368i
\(363\) 2.76009 12.8471i 0.144867 0.674296i
\(364\) −0.667843 + 11.9100i −0.0350045 + 0.624254i
\(365\) 11.3421 0.593673
\(366\) −0.759140 + 21.6304i −0.0396809 + 1.13064i
\(367\) 20.8250 12.0233i 1.08706 0.627613i 0.154266 0.988029i \(-0.450699\pi\)
0.932791 + 0.360417i \(0.117366\pi\)
\(368\) −0.755130 4.08991i −0.0393639 0.213201i
\(369\) −2.44741 3.39972i −0.127407 0.176983i
\(370\) −11.1323 13.2129i −0.578742 0.686907i
\(371\) 3.64473 + 31.6936i 0.189225 + 1.64545i
\(372\) 5.51450 13.7213i 0.285913 0.711418i
\(373\) 12.5120 + 7.22381i 0.647847 + 0.374035i 0.787631 0.616147i \(-0.211307\pi\)
−0.139784 + 0.990182i \(0.544641\pi\)
\(374\) 11.0531 + 3.99784i 0.571542 + 0.206724i
\(375\) 17.7493 5.72424i 0.916571 0.295599i
\(376\) 33.3889 0.201420i 1.72190 0.0103874i
\(377\) 2.97762i 0.153355i
\(378\) 12.5749 + 14.8280i 0.646785 + 0.762673i
\(379\) −29.8048 −1.53097 −0.765485 0.643453i \(-0.777501\pi\)
−0.765485 + 0.643453i \(0.777501\pi\)
\(380\) 11.1630 + 9.29065i 0.572651 + 0.476600i
\(381\) −11.5748 35.8903i −0.592994 1.83871i
\(382\) −29.9947 10.8489i −1.53466 0.555080i
\(383\) 5.62806 9.74809i 0.287581 0.498104i −0.685651 0.727930i \(-0.740482\pi\)
0.973232 + 0.229826i \(0.0738158\pi\)
\(384\) 19.5907 + 0.450993i 0.999735 + 0.0230146i
\(385\) −2.51380 + 5.79798i −0.128115 + 0.295492i
\(386\) 6.27926 5.29048i 0.319606 0.269278i
\(387\) −14.6712 + 10.5616i −0.745778 + 0.536874i
\(388\) 16.3916 6.04083i 0.832159 0.306677i
\(389\) 13.4807 + 23.3492i 0.683498 + 1.18385i 0.973906 + 0.226950i \(0.0728755\pi\)
−0.290408 + 0.956903i \(0.593791\pi\)
\(390\) −0.250388 + 7.13437i −0.0126789 + 0.361263i
\(391\) 4.67735i 0.236544i
\(392\) 5.63452 18.9803i 0.284586 0.958650i
\(393\) −9.11045 1.95731i −0.459561 0.0987331i
\(394\) 0.784552 + 4.39769i 0.0395252 + 0.221552i
\(395\) 3.06473 1.76942i 0.154203 0.0890293i
\(396\) 0.777148 11.0581i 0.0390532 0.555691i
\(397\) −6.75185 3.89818i −0.338866 0.195644i 0.320905 0.947111i \(-0.396013\pi\)
−0.659770 + 0.751467i \(0.729346\pi\)
\(398\) 12.8736 + 15.2796i 0.645295 + 0.765900i
\(399\) −14.9713 + 20.9387i −0.749505 + 1.04825i
\(400\) 12.5479 + 4.45309i 0.627395 + 0.222655i
\(401\) 2.98430 + 1.72299i 0.149029 + 0.0860420i 0.572660 0.819793i \(-0.305911\pi\)
−0.423631 + 0.905835i \(0.639245\pi\)
\(402\) 7.93436 12.6927i 0.395730 0.633054i
\(403\) 4.81175 + 8.33420i 0.239691 + 0.415156i
\(404\) −10.5158 8.75197i −0.523180 0.435427i
\(405\) 7.70959 + 8.71440i 0.383093 + 0.433022i
\(406\) −1.13902 + 4.80914i −0.0565285 + 0.238674i
\(407\) −17.4595 −0.865435
\(408\) −21.5739 4.49900i −1.06807 0.222734i
\(409\) 9.79039 + 16.9575i 0.484104 + 0.838492i 0.999833 0.0182590i \(-0.00581236\pi\)
−0.515729 + 0.856752i \(0.672479\pi\)
\(410\) −0.868328 + 2.40072i −0.0428837 + 0.118563i
\(411\) 15.2547 16.8678i 0.752459 0.832025i
\(412\) −8.84722 1.52334i −0.435871 0.0750497i
\(413\) −29.0676 + 3.34274i −1.43032 + 0.164485i
\(414\) 4.24330 1.20591i 0.208547 0.0592674i
\(415\) 5.31101 + 3.06631i 0.260707 + 0.150519i
\(416\) −8.09842 + 9.85078i −0.397057 + 0.482974i
\(417\) −21.3903 + 6.89847i −1.04749 + 0.337819i
\(418\) 14.4483 2.57759i 0.706690 0.126074i
\(419\) 27.6189i 1.34927i 0.738150 + 0.674637i \(0.235700\pi\)
−0.738150 + 0.674637i \(0.764300\pi\)
\(420\) 3.13348 11.4269i 0.152898 0.557575i
\(421\) 9.36226i 0.456289i −0.973627 0.228144i \(-0.926734\pi\)
0.973627 0.228144i \(-0.0732658\pi\)
\(422\) 0.485351 + 2.72056i 0.0236265 + 0.132435i
\(423\) 3.54786 + 35.2368i 0.172503 + 1.71327i
\(424\) −16.8741 + 29.6383i −0.819480 + 1.43936i
\(425\) −12.9678 7.48697i −0.629031 0.363171i
\(426\) −16.1081 30.3078i −0.780441 1.46842i
\(427\) 13.9254 + 18.7779i 0.673897 + 0.908724i
\(428\) 14.2902 + 2.46053i 0.690741 + 0.118934i
\(429\) 5.35047 + 4.83880i 0.258323 + 0.233620i
\(430\) 10.3601 + 3.74719i 0.499607 + 0.180705i
\(431\) 4.22951 + 7.32573i 0.203729 + 0.352868i 0.949727 0.313080i \(-0.101361\pi\)
−0.745998 + 0.665948i \(0.768027\pi\)
\(432\) 1.48067 + 20.7318i 0.0712386 + 0.997459i
\(433\) −10.9191 −0.524737 −0.262369 0.964968i \(-0.584504\pi\)
−0.262369 + 0.964968i \(0.584504\pi\)
\(434\) −4.58338 15.3011i −0.220009 0.734478i
\(435\) −0.621254 + 2.89168i −0.0297868 + 0.138645i
\(436\) 15.7601 18.9363i 0.754772 0.906884i
\(437\) 2.92018 + 5.05790i 0.139691 + 0.241952i
\(438\) −11.3912 + 18.2226i −0.544292 + 0.870710i
\(439\) −20.2600 11.6971i −0.966959 0.558274i −0.0686510 0.997641i \(-0.521869\pi\)
−0.898308 + 0.439367i \(0.855203\pi\)
\(440\) −5.83021 + 3.41313i −0.277944 + 0.162715i
\(441\) 20.6050 + 4.05383i 0.981191 + 0.193040i
\(442\) 10.9677 9.24065i 0.521681 0.439533i
\(443\) −5.31199 3.06688i −0.252380 0.145712i 0.368473 0.929638i \(-0.379881\pi\)
−0.620854 + 0.783926i \(0.713214\pi\)
\(444\) 32.4088 4.61544i 1.53805 0.219039i
\(445\) −10.7460 + 6.20422i −0.509410 + 0.294108i
\(446\) −5.01183 + 0.894116i −0.237317 + 0.0423376i
\(447\) −2.48874 + 11.5840i −0.117713 + 0.547907i
\(448\) 16.8479 12.8121i 0.795987 0.605313i
\(449\) 35.8658i 1.69261i 0.532696 + 0.846307i \(0.321179\pi\)
−0.532696 + 0.846307i \(0.678821\pi\)
\(450\) −3.44884 + 13.6947i −0.162580 + 0.645575i
\(451\) 1.28992 + 2.23420i 0.0607397 + 0.105204i
\(452\) −5.03180 13.6536i −0.236676 0.642214i
\(453\) 4.24244 4.69105i 0.199327 0.220405i
\(454\) −5.31368 6.30679i −0.249383 0.295992i
\(455\) 4.59303 + 6.19352i 0.215324 + 0.290357i
\(456\) −26.1380 + 8.60404i −1.22402 + 0.402921i
\(457\) −1.51987 + 2.63249i −0.0710964 + 0.123143i −0.899382 0.437163i \(-0.855983\pi\)
0.828286 + 0.560306i \(0.189316\pi\)
\(458\) 6.26542 17.3224i 0.292764 0.809422i
\(459\) 2.59572 23.2303i 0.121158 1.08430i
\(460\) −2.06637 1.71978i −0.0963452 0.0801852i
\(461\) 30.7564 1.43247 0.716233 0.697861i \(-0.245865\pi\)
0.716233 + 0.697861i \(0.245865\pi\)
\(462\) −6.79054 9.86181i −0.315924 0.458813i
\(463\) 9.54146i 0.443429i 0.975112 + 0.221715i \(0.0711653\pi\)
−0.975112 + 0.221715i \(0.928835\pi\)
\(464\) −4.01989 + 3.42856i −0.186619 + 0.159167i
\(465\) −2.93401 9.09756i −0.136061 0.421889i
\(466\) −7.58523 + 20.9714i −0.351379 + 0.971479i
\(467\) −4.36437 2.51977i −0.201959 0.116601i 0.395610 0.918419i \(-0.370533\pi\)
−0.597569 + 0.801818i \(0.703867\pi\)
\(468\) −11.2108 7.56751i −0.518221 0.349808i
\(469\) −1.84712 16.0621i −0.0852920 0.741677i
\(470\) 16.5056 13.9065i 0.761348 0.641460i
\(471\) 3.14697 3.47973i 0.145004 0.160338i
\(472\) −27.1826 15.4760i −1.25118 0.712340i
\(473\) 9.64147 5.56650i 0.443315 0.255948i
\(474\) −0.235177 + 6.70096i −0.0108020 + 0.307785i
\(475\) −18.6972 −0.857884
\(476\) −21.2487 + 10.7291i −0.973931 + 0.491766i
\(477\) −32.9820 14.8576i −1.51014 0.680285i
\(478\) −5.64950 31.6674i −0.258402 1.44843i
\(479\) −13.6307 23.6091i −0.622804 1.07873i −0.988961 0.148175i \(-0.952660\pi\)
0.366157 0.930553i \(-0.380673\pi\)
\(480\) 9.91993 7.87678i 0.452781 0.359524i
\(481\) −10.6516 + 18.4492i −0.485673 + 0.841211i
\(482\) 14.7534 12.4302i 0.671998 0.566180i
\(483\) 2.77133 3.87593i 0.126100 0.176361i
\(484\) 2.57465 14.9530i 0.117030 0.679681i
\(485\) 5.64610 9.77933i 0.256376 0.444057i
\(486\) −21.7438 + 3.63437i −0.986317 + 0.164859i
\(487\) −0.905513 + 0.522798i −0.0410327 + 0.0236902i −0.520376 0.853937i \(-0.674208\pi\)
0.479343 + 0.877627i \(0.340875\pi\)
\(488\) 0.150762 + 24.9915i 0.00682468 + 1.13131i
\(489\) −3.21499 + 14.9644i −0.145387 + 0.676714i
\(490\) −5.04899 11.7601i −0.228090 0.531265i
\(491\) 29.3101i 1.32275i 0.750057 + 0.661373i \(0.230026\pi\)
−0.750057 + 0.661373i \(0.769974\pi\)
\(492\) −2.98499 3.80619i −0.134574 0.171596i
\(493\) 5.14579 2.97092i 0.231755 0.133804i
\(494\) 6.09089 16.8399i 0.274042 0.757661i
\(495\) −4.18646 5.81546i −0.188167 0.261385i
\(496\) 5.71098 16.0924i 0.256431 0.722569i
\(497\) −34.0132 14.7469i −1.52570 0.661490i
\(498\) −10.2604 + 5.45325i −0.459780 + 0.244366i
\(499\) 14.3749 24.8981i 0.643510 1.11459i −0.341133 0.940015i \(-0.610811\pi\)
0.984643 0.174578i \(-0.0558560\pi\)
\(500\) 20.2062 7.44660i 0.903647 0.333022i
\(501\) −19.5860 + 6.31657i −0.875037 + 0.282204i
\(502\) 7.42185 1.32407i 0.331253 0.0590960i
\(503\) 19.8016 0.882910 0.441455 0.897283i \(-0.354462\pi\)
0.441455 + 0.897283i \(0.354462\pi\)
\(504\) 15.2118 + 16.5107i 0.677586 + 0.735444i
\(505\) −8.84363 −0.393536
\(506\) −2.67451 + 0.477135i −0.118896 + 0.0212113i
\(507\) −13.0525 + 4.20949i −0.579681 + 0.186950i
\(508\) −15.0575 40.8582i −0.668069 1.81279i
\(509\) 14.1795 24.5596i 0.628494 1.08858i −0.359360 0.933199i \(-0.617005\pi\)
0.987854 0.155385i \(-0.0496618\pi\)
\(510\) −12.5791 + 6.68561i −0.557012 + 0.296044i
\(511\) 2.65186 + 23.0599i 0.117312 + 1.02011i
\(512\) 22.6237 0.409474i 0.999836 0.0180964i
\(513\) −11.6963 26.7408i −0.516403 1.18064i
\(514\) 4.03618 11.1591i 0.178028 0.492206i
\(515\) −5.02555 + 2.90151i −0.221452 + 0.127856i
\(516\) −16.4252 + 12.8814i −0.723081 + 0.567073i
\(517\) 21.8104i 0.959222i
\(518\) 24.2607 25.7226i 1.06595 1.13019i
\(519\) 2.27385 10.5838i 0.0998108 0.464577i
\(520\) 0.0497260 + 8.24298i 0.00218063 + 0.361479i
\(521\) −27.4943 + 15.8738i −1.20455 + 0.695445i −0.961563 0.274585i \(-0.911460\pi\)
−0.242984 + 0.970030i \(0.578126\pi\)
\(522\) −4.02191 3.90231i −0.176034 0.170799i
\(523\) 3.11470 5.39482i 0.136196 0.235899i −0.789858 0.613290i \(-0.789846\pi\)
0.926054 + 0.377392i \(0.123179\pi\)
\(524\) −10.6038 1.82580i −0.463231 0.0797606i
\(525\) 6.30989 + 13.8876i 0.275386 + 0.606104i
\(526\) −3.42648 + 2.88692i −0.149402 + 0.125876i
\(527\) −9.60185 + 16.6309i −0.418263 + 0.724453i
\(528\) 0.371785 12.7949i 0.0161799 0.556827i
\(529\) 10.9594 + 18.9823i 0.476498 + 0.825318i
\(530\) 3.87184 + 21.7030i 0.168182 + 0.942718i
\(531\) 13.6266 30.2492i 0.591344 1.31270i
\(532\) −16.2790 + 24.8680i −0.705786 + 1.07817i
\(533\) 3.14780 0.136346
\(534\) 0.824614 23.4959i 0.0356845 1.01677i
\(535\) 8.11735 4.68656i 0.350944 0.202618i
\(536\) 8.55166 15.0204i 0.369376 0.648784i
\(537\) 1.93147 2.13571i 0.0833491 0.0921626i
\(538\) −16.9112 + 14.2483i −0.729096 + 0.614286i
\(539\) −12.3758 3.75526i −0.533061 0.161751i
\(540\) 9.30834 + 9.68811i 0.400567 + 0.416910i
\(541\) −1.99979 1.15458i −0.0859776 0.0496392i 0.456395 0.889777i \(-0.349140\pi\)
−0.542372 + 0.840138i \(0.682474\pi\)
\(542\) 6.90795 19.0988i 0.296722 0.820366i
\(543\) 2.37574 + 7.36652i 0.101953 + 0.316128i
\(544\) −25.1038 4.16669i −1.07632 0.178646i
\(545\) 15.9252i 0.682159i
\(546\) −14.5636 + 1.15899i −0.623264 + 0.0496004i
\(547\) 32.5136 1.39018 0.695090 0.718922i \(-0.255364\pi\)
0.695090 + 0.718922i \(0.255364\pi\)
\(548\) 16.7992 20.1848i 0.717624 0.862250i
\(549\) −26.3747 + 2.65557i −1.12564 + 0.113337i
\(550\) 2.95821 8.17875i 0.126138 0.348743i
\(551\) 3.70963 6.42528i 0.158036 0.273726i
\(552\) 4.83837 1.59268i 0.205935 0.0677891i
\(553\) 4.31401 + 5.81727i 0.183450 + 0.247375i
\(554\) 3.40067 + 4.03624i 0.144480 + 0.171484i
\(555\) 14.1934 15.6943i 0.602478 0.666186i
\(556\) −24.3511 + 8.97414i −1.03272 + 0.380588i
\(557\) 16.5711 + 28.7020i 0.702140 + 1.21614i 0.967714 + 0.252052i \(0.0811053\pi\)
−0.265574 + 0.964091i \(0.585561\pi\)
\(558\) 17.5631 + 4.42305i 0.743507 + 0.187243i
\(559\) 13.5840i 0.574542i
\(560\) 3.07284 13.3322i 0.129851 0.563388i
\(561\) −3.02376 + 14.0743i −0.127663 + 0.594219i
\(562\) 26.2261 4.67877i 1.10628 0.197362i
\(563\) 13.6362 7.87286i 0.574697 0.331801i −0.184326 0.982865i \(-0.559010\pi\)
0.759023 + 0.651064i \(0.225677\pi\)
\(564\) 5.76563 + 40.4851i 0.242777 + 1.70473i
\(565\) −8.14583 4.70300i −0.342698 0.197857i
\(566\) −23.3015 + 19.6323i −0.979435 + 0.825205i
\(567\) −15.9149 + 17.7120i −0.668363 + 0.743835i
\(568\) −20.0228 34.2023i −0.840137 1.43510i
\(569\) 20.1971 + 11.6608i 0.846706 + 0.488846i 0.859538 0.511072i \(-0.170751\pi\)
−0.0128319 + 0.999918i \(0.504085\pi\)
\(570\) −9.42856 + 15.0830i −0.394919 + 0.631756i
\(571\) 12.0030 + 20.7898i 0.502311 + 0.870027i 0.999996 + 0.00267009i \(0.000849917\pi\)
−0.497686 + 0.867357i \(0.665817\pi\)
\(572\) 6.40262 + 5.32871i 0.267707 + 0.222804i
\(573\) 8.20558 38.1935i 0.342793 1.59556i
\(574\) −5.08398 1.20411i −0.212201 0.0502587i
\(575\) 3.46101 0.144334
\(576\) 2.69223 + 23.8485i 0.112176 + 0.993688i
\(577\) −2.69246 4.66349i −0.112089 0.194143i 0.804523 0.593921i \(-0.202421\pi\)
−0.916612 + 0.399777i \(0.869087\pi\)
\(578\) 4.30406 + 1.55676i 0.179025 + 0.0647526i
\(579\) 7.45849 + 6.74524i 0.309964 + 0.280322i
\(580\) −0.579514 + 3.36568i −0.0240630 + 0.139752i
\(581\) −4.99244 + 11.5149i −0.207121 + 0.477717i
\(582\) 10.0413 + 18.8928i 0.416223 + 0.783133i
\(583\) 19.2933 + 11.1390i 0.799046 + 0.461329i
\(584\) −12.2774 + 21.5645i −0.508043 + 0.892345i
\(585\) −8.69918 + 0.875888i −0.359667 + 0.0362135i
\(586\) 1.02781 + 5.76125i 0.0424586 + 0.237995i
\(587\) 20.8871i 0.862104i 0.902327 + 0.431052i \(0.141857\pi\)
−0.902327 + 0.431052i \(0.858143\pi\)
\(588\) 23.9649 + 3.69907i 0.988296 + 0.152547i
\(589\) 23.9786i 0.988023i
\(590\) −19.9048 + 3.55103i −0.819466 + 0.146194i
\(591\) −5.20699 + 1.67928i −0.214187 + 0.0690763i
\(592\) 37.1718 6.86311i 1.52775 0.282072i
\(593\) 31.7953 + 18.3570i 1.30567 + 0.753832i 0.981371 0.192122i \(-0.0615368\pi\)
0.324303 + 0.945953i \(0.394870\pi\)
\(594\) 13.5479 0.885479i 0.555876 0.0363317i
\(595\) −6.12065 + 14.1170i −0.250922 + 0.578742i
\(596\) −2.32153 + 13.4829i −0.0950937 + 0.552282i
\(597\) −16.4135 + 18.1491i −0.671761 + 0.742795i
\(598\) −1.12748 + 3.11721i −0.0461060 + 0.127472i
\(599\) 12.0639 + 20.8953i 0.492918 + 0.853760i 0.999967 0.00815783i \(-0.00259675\pi\)
−0.507048 + 0.861918i \(0.669263\pi\)
\(600\) −3.32904 + 15.9636i −0.135908 + 0.651712i
\(601\) −30.7421 −1.25399 −0.626997 0.779021i \(-0.715716\pi\)
−0.626997 + 0.779021i \(0.715716\pi\)
\(602\) −5.19623 + 21.9394i −0.211783 + 0.894185i
\(603\) 16.7150 + 7.52972i 0.680687 + 0.306634i
\(604\) 4.67197 5.61353i 0.190100 0.228411i
\(605\) −4.90393 8.49385i −0.199373 0.345324i
\(606\) 8.88189 14.2085i 0.360802 0.577179i
\(607\) 3.75552 + 2.16825i 0.152432 + 0.0880066i 0.574276 0.818662i \(-0.305284\pi\)
−0.421844 + 0.906668i \(0.638617\pi\)
\(608\) −29.7477 + 11.1672i −1.20643 + 0.452891i
\(609\) −6.02439 0.586993i −0.244120 0.0237861i
\(610\) 10.4090 + 12.3544i 0.421448 + 0.500216i
\(611\) −23.0468 13.3061i −0.932373 0.538306i
\(612\) 1.89222 26.9245i 0.0764883 1.08836i
\(613\) 26.2945 15.1812i 1.06203 0.613161i 0.136034 0.990704i \(-0.456564\pi\)
0.925992 + 0.377543i \(0.123231\pi\)
\(614\) −1.15036 6.44818i −0.0464249 0.260228i
\(615\) −3.05693 0.656759i −0.123268 0.0264831i
\(616\) −8.30247 11.0555i −0.334516 0.445440i
\(617\) 11.5709i 0.465827i −0.972497 0.232913i \(-0.925174\pi\)
0.972497 0.232913i \(-0.0748259\pi\)
\(618\) 0.385644 10.9883i 0.0155129 0.442013i
\(619\) −8.62076 14.9316i −0.346497 0.600151i 0.639127 0.769101i \(-0.279296\pi\)
−0.985625 + 0.168950i \(0.945962\pi\)
\(620\) −3.81682 10.3568i −0.153287 0.415940i
\(621\) 2.16508 + 4.94996i 0.0868818 + 0.198635i
\(622\) 15.2468 12.8459i 0.611341 0.515074i
\(623\) −15.1264 20.3974i −0.606028 0.817204i
\(624\) −13.2934 8.19875i −0.532161 0.328213i
\(625\) −1.36164 + 2.35843i −0.0544656 + 0.0943372i
\(626\) 18.4967 + 6.69015i 0.739276 + 0.267392i
\(627\) 5.51717 + 17.1072i 0.220334 + 0.683197i
\(628\) 3.46558 4.16401i 0.138292 0.166162i
\(629\) −42.5107 −1.69501
\(630\) 14.3850 + 1.91302i 0.573113 + 0.0762166i
\(631\) 4.91146i 0.195522i 0.995210 + 0.0977611i \(0.0311681\pi\)
−0.995210 + 0.0977611i \(0.968832\pi\)
\(632\) 0.0467052 + 7.74223i 0.00185783 + 0.307969i
\(633\) −3.22123 + 1.03886i −0.128032 + 0.0412910i
\(634\) 22.1923 + 8.02685i 0.881371 + 0.318787i
\(635\) −24.3762 14.0736i −0.967339 0.558493i
\(636\) −38.7573 15.5763i −1.53683 0.617639i
\(637\) −11.5183 + 10.7863i −0.456372 + 0.427368i
\(638\) 2.22370 + 2.63930i 0.0880370 + 0.104491i
\(639\) 34.1157 24.5594i 1.34960 0.971554i
\(640\) 11.0710 9.55844i 0.437621 0.377831i
\(641\) 34.7916 20.0870i 1.37419 0.793387i 0.382735 0.923858i \(-0.374982\pi\)
0.991452 + 0.130471i \(0.0416488\pi\)
\(642\) −0.622899 + 17.7484i −0.0245838 + 0.700475i
\(643\) 12.5997 0.496884 0.248442 0.968647i \(-0.420081\pi\)
0.248442 + 0.968647i \(0.420081\pi\)
\(644\) 3.01339 4.60329i 0.118744 0.181395i
\(645\) −2.83418 + 13.1919i −0.111596 + 0.519431i
\(646\) 35.1791 6.27598i 1.38410 0.246925i
\(647\) −9.55483 16.5495i −0.375639 0.650626i 0.614783 0.788696i \(-0.289243\pi\)
−0.990422 + 0.138070i \(0.955910\pi\)
\(648\) −24.9138 + 5.22505i −0.978708 + 0.205259i
\(649\) −10.2160 + 17.6947i −0.401015 + 0.694578i
\(650\) −6.83763 8.11557i −0.268194 0.318319i
\(651\) 17.8105 8.09227i 0.698048 0.317161i
\(652\) −2.99898 + 17.4174i −0.117449 + 0.682118i
\(653\) −4.01546 + 6.95497i −0.157137 + 0.272169i −0.933835 0.357704i \(-0.883560\pi\)
0.776698 + 0.629873i \(0.216893\pi\)
\(654\) 25.5859 + 15.9941i 1.00049 + 0.625417i
\(655\) −6.02338 + 3.47760i −0.235353 + 0.135881i
\(656\) −3.62450 4.24962i −0.141513 0.165920i
\(657\) −23.9973 10.8102i −0.936225 0.421748i
\(658\) 32.1328 + 30.3065i 1.25267 + 1.18147i
\(659\) 5.21061i 0.202977i −0.994837 0.101488i \(-0.967640\pi\)
0.994837 0.101488i \(-0.0323604\pi\)
\(660\) −5.10603 6.51074i −0.198752 0.253430i
\(661\) 33.5498 19.3700i 1.30494 0.753406i 0.323690 0.946163i \(-0.395076\pi\)
0.981246 + 0.192757i \(0.0617431\pi\)
\(662\) −12.8241 4.63842i −0.498424 0.180277i
\(663\) 13.0274 + 11.7816i 0.505944 + 0.457560i
\(664\) −11.5789 + 6.77852i −0.449347 + 0.263058i
\(665\) 2.19497 + 19.0869i 0.0851171 + 0.740157i
\(666\) 10.9601 + 38.5658i 0.424695 + 1.49440i
\(667\) −0.686686 + 1.18937i −0.0265886 + 0.0460528i
\(668\) −22.2970 + 8.21715i −0.862698 + 0.317931i
\(669\) −1.91379 5.93416i −0.0739915 0.229428i
\(670\) −1.96221 10.9989i −0.0758069 0.424924i
\(671\) 16.3251 0.630223
\(672\) 18.3338 + 18.3268i 0.707242 + 0.706972i
\(673\) −33.1783 −1.27893 −0.639465 0.768821i \(-0.720844\pi\)
−0.639465 + 0.768821i \(0.720844\pi\)
\(674\) 7.32425 + 41.0550i 0.282119 + 1.58138i
\(675\) −17.1893 1.92071i −0.661615 0.0739280i
\(676\) −14.8592 + 5.47607i −0.571507 + 0.210618i
\(677\) 15.7573 27.2925i 0.605602 1.04893i −0.386354 0.922351i \(-0.626266\pi\)
0.991956 0.126583i \(-0.0404011\pi\)
\(678\) 15.7371 8.36401i 0.604378 0.321218i
\(679\) 21.2027 + 9.19274i 0.813684 + 0.352785i
\(680\) −14.1955 + 8.31037i −0.544373 + 0.318688i
\(681\) 6.77481 7.49120i 0.259611 0.287063i
\(682\) −10.4890 3.79383i −0.401646 0.145273i
\(683\) 19.4038 11.2028i 0.742465 0.428663i −0.0804996 0.996755i \(-0.525652\pi\)
0.822965 + 0.568092i \(0.192318\pi\)
\(684\) −14.7634 30.2964i −0.564494 1.15841i
\(685\) 16.9751i 0.648585i
\(686\) 22.7292 13.0148i 0.867804 0.496907i
\(687\) 22.0573 + 4.73884i 0.841539 + 0.180798i
\(688\) −18.3388 + 15.6412i −0.699162 + 0.596315i
\(689\) 23.5408 13.5913i 0.896833 0.517787i
\(690\) 1.74531 2.79199i 0.0664428 0.106289i
\(691\) −7.24483 + 12.5484i −0.275606 + 0.477364i −0.970288 0.241953i \(-0.922212\pi\)
0.694682 + 0.719317i \(0.255545\pi\)
\(692\) 2.12108 12.3187i 0.0806312 0.468287i
\(693\) 10.8447 9.87128i 0.411957 0.374979i
\(694\) −11.4594 13.6012i −0.434995 0.516294i
\(695\) −8.38773 + 14.5280i −0.318165 + 0.551077i
\(696\) −4.82539 4.31131i −0.182906 0.163420i
\(697\) 3.14071 + 5.43987i 0.118963 + 0.206050i
\(698\) −48.0337 + 8.56926i −1.81810 + 0.324351i
\(699\) −26.7037 5.73708i −1.01003 0.216996i
\(700\) 7.93899 + 15.7230i 0.300066 + 0.594273i
\(701\) −21.9950 −0.830738 −0.415369 0.909653i \(-0.636348\pi\)
−0.415369 + 0.909653i \(0.636348\pi\)
\(702\) 7.32958 14.8560i 0.276637 0.560705i
\(703\) −45.9694 + 26.5404i −1.73377 + 1.00099i
\(704\) −0.178321 14.7794i −0.00672074 0.557021i
\(705\) 19.6054 + 17.7305i 0.738381 + 0.667769i
\(706\) 9.58261 + 11.3736i 0.360646 + 0.428050i
\(707\) −2.06770 17.9802i −0.0777639 0.676215i
\(708\) 14.2857 35.5460i 0.536888 1.33590i
\(709\) −17.2122 9.93745i −0.646416 0.373209i 0.140666 0.990057i \(-0.455076\pi\)
−0.787082 + 0.616849i \(0.788409\pi\)
\(710\) −24.0909 8.71355i −0.904115 0.327014i
\(711\) −8.17071 + 0.822679i −0.306426 + 0.0308529i
\(712\) −0.163765 27.1470i −0.00613735 1.01738i
\(713\) 4.43866i 0.166229i
\(714\) −16.5337 24.0117i −0.618760 0.898617i
\(715\) 5.38452 0.201370
\(716\) 2.12702 2.55569i 0.0794905 0.0955106i
\(717\) 37.4951 12.0924i 1.40028 0.451598i
\(718\) 21.3556 + 7.72419i 0.796982 + 0.288264i
\(719\) 4.05138 7.01719i 0.151091 0.261697i −0.780538 0.625108i \(-0.785055\pi\)
0.931629 + 0.363411i \(0.118388\pi\)
\(720\) 11.1991 + 10.7356i 0.417365 + 0.400093i
\(721\) −7.07413 9.53918i −0.263454 0.355258i
\(722\) 13.5741 11.4366i 0.505175 0.425626i
\(723\) 17.5241 + 15.8482i 0.651726 + 0.589402i
\(724\) 3.09057 + 8.38618i 0.114860 + 0.311670i
\(725\) −2.19834 3.80763i −0.0816442 0.141412i
\(726\) 18.5716 + 0.651790i 0.689258 + 0.0241902i
\(727\) 1.56460i 0.0580278i −0.999579 0.0290139i \(-0.990763\pi\)
0.999579 0.0290139i \(-0.00923671\pi\)
\(728\) −16.7474 + 2.02836i −0.620699 + 0.0751762i
\(729\) −8.00598 25.7857i −0.296518 0.955027i
\(730\) 2.81711 + 15.7909i 0.104266 + 0.584446i
\(731\) 23.4752 13.5534i 0.868263 0.501292i
\(732\) −30.3031 + 4.31556i −1.12003 + 0.159508i
\(733\) −10.2679 5.92818i −0.379254 0.218962i 0.298240 0.954491i \(-0.403600\pi\)
−0.677493 + 0.735529i \(0.736934\pi\)
\(734\) 21.9117 + 26.0069i 0.808775 + 0.959934i
\(735\) 13.4363 8.07175i 0.495605 0.297731i
\(736\) 5.50655 2.06715i 0.202974 0.0761962i
\(737\) −9.77767 5.64514i −0.360165 0.207941i
\(738\) 4.12533 4.25177i 0.151855 0.156510i
\(739\) −6.94639 12.0315i −0.255527 0.442586i 0.709511 0.704694i \(-0.248916\pi\)
−0.965039 + 0.262108i \(0.915582\pi\)
\(740\) 15.6305 18.7805i 0.574587 0.690386i
\(741\) 21.4429 + 4.60684i 0.787724 + 0.169236i
\(742\) −43.2196 + 12.9462i −1.58664 + 0.475271i
\(743\) −25.3287 −0.929221 −0.464611 0.885515i \(-0.653806\pi\)
−0.464611 + 0.885515i \(0.653806\pi\)
\(744\) 20.4729 + 4.26942i 0.750575 + 0.156524i
\(745\) 4.42182 + 7.65881i 0.162003 + 0.280597i
\(746\) −6.94954 + 19.2138i −0.254441 + 0.703468i
\(747\) −8.31435 11.5496i −0.304206 0.422577i
\(748\) −2.82061 + 16.3814i −0.103132 + 0.598965i
\(749\) 11.4262 + 15.4078i 0.417506 + 0.562990i
\(750\) 12.3780 + 23.2894i 0.451980 + 0.850409i
\(751\) 10.4902 + 6.05653i 0.382793 + 0.221006i 0.679033 0.734108i \(-0.262399\pi\)
−0.296240 + 0.955114i \(0.595733\pi\)
\(752\) 8.57341 + 46.4351i 0.312640 + 1.69331i
\(753\) 2.83407 + 8.78770i 0.103279 + 0.320241i
\(754\) 4.14554 0.739569i 0.150972 0.0269335i
\(755\) 4.72090i 0.171811i
\(756\) −17.5208 + 21.1901i −0.637224 + 0.770678i
\(757\) 21.6528i 0.786983i 0.919328 + 0.393491i \(0.128733\pi\)
−0.919328 + 0.393491i \(0.871267\pi\)
\(758\) −7.40279 41.4952i −0.268881 1.50717i
\(759\) −1.02128 3.16670i −0.0370700 0.114944i
\(760\) −10.1621 + 17.8491i −0.368618 + 0.647455i
\(761\) −33.4532 19.3142i −1.21268 0.700141i −0.249337 0.968417i \(-0.580213\pi\)
−0.963342 + 0.268276i \(0.913546\pi\)
\(762\) 47.0927 25.0291i 1.70599 0.906707i
\(763\) 32.3778 3.72341i 1.17216 0.134797i
\(764\) 7.65428 44.4542i 0.276922 1.60830i
\(765\) −10.1933 14.1596i −0.368539 0.511941i
\(766\) 14.9695 + 5.41438i 0.540869 + 0.195629i
\(767\) 12.4652 + 21.5903i 0.450091 + 0.779580i
\(768\) 4.23797 + 27.3869i 0.152925 + 0.988238i
\(769\) 32.8604 1.18498 0.592489 0.805579i \(-0.298145\pi\)
0.592489 + 0.805579i \(0.298145\pi\)
\(770\) −8.69650 2.05972i −0.313400 0.0742271i
\(771\) 14.2093 + 3.05276i 0.511736 + 0.109943i
\(772\) 8.92518 + 7.42816i 0.321224 + 0.267345i
\(773\) 14.2511 + 24.6836i 0.512576 + 0.887808i 0.999894 + 0.0145830i<