Properties

Label 168.2.v.a.11.16
Level $168$
Weight $2$
Character 168.11
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
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.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 11.16
Character \(\chi\) \(=\) 168.11
Dual form 168.2.v.a.107.16

$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(-1\) \(-1\)

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 0.684511 0.729003i \(-0.260016\pi\)
−0.973590 + 0.228302i \(0.926683\pi\)
\(6\) −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 0.238999 0.971020i \(-0.423181\pi\)
−0.721428 + 0.692489i \(0.756514\pi\)
\(12\) 2.72583 + 2.13772i 0.786879 + 0.617107i
\(13\) 2.25432i 0.625235i −0.949879 0.312617i \(-0.898794\pi\)
0.949879 0.312617i \(-0.101206\pi\)
\(14\) 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 −0.0533874 0.998574i \(-0.517002\pi\)
−0.891484 + 0.453052i \(0.850335\pi\)
\(18\) 3.04493 2.95438i 0.717698 0.696355i
\(19\) −2.80851 4.86448i −0.644317 1.11599i −0.984459 0.175615i \(-0.943809\pi\)
0.340142 0.940374i \(-0.389525\pi\)
\(20\) 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 0.915123 0.403174i \(-0.132093\pi\)
−0.806721 + 0.590933i \(0.798760\pi\)
\(24\) 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 0.793800 0.608179i \(-0.208100\pi\)
−0.129799 + 0.991540i \(0.541433\pi\)
\(32\) 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 0.357834 0.933785i \(-0.383516\pi\)
0.987599 + 0.157000i \(0.0501822\pi\)
\(38\) −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 \(0.0347764\pi\)
−0.994038 + 0.109036i \(0.965224\pi\)
\(42\) 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 −0.870997 0.491288i \(-0.836526\pi\)
0.0100312 0.999950i \(-0.496807\pi\)
\(48\) −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 0.0713414 + 0.997452i \(0.477272\pi\)
−0.899489 + 0.436943i \(0.856061\pi\)
\(54\) −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 0.970482 0.241174i \(-0.0775324\pi\)
0.276378 + 0.961049i \(0.410866\pi\)
\(60\) 0.631413 4.43367i 0.0815151 0.572384i
\(61\) −7.65220 + 4.41800i −0.979764 + 0.565667i −0.902199 0.431320i \(-0.858048\pi\)
−0.0775652 + 0.996987i \(0.524715\pi\)
\(62\) 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 −0.616786 0.787131i \(-0.711566\pi\)
0.990068 + 0.140587i \(0.0448989\pi\)
\(68\) 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 0.486462 + 0.873702i \(0.338287\pi\)
−0.999879 + 0.0155626i \(0.995046\pi\)
\(74\) −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 −0.627393 0.778702i \(-0.715878\pi\)
0.360679 + 0.932690i \(0.382545\pi\)
\(80\) 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 \(0.0838354\pi\)
−0.965516 + 0.260342i \(0.916165\pi\)
\(84\) −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 0.0100723 0.999949i \(-0.496794\pi\)
0.871018 + 0.491252i \(0.163461\pi\)
\(90\) −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 −0.644159 0.764891i \(-0.722793\pi\)
0.984495 + 0.175413i \(0.0561259\pi\)
\(102\) 9.34362 5.84082i 0.925156 0.578327i
\(103\) 3.88733 2.24435i 0.383030 0.221143i −0.296106 0.955155i \(-0.595688\pi\)
0.679136 + 0.734013i \(0.262355\pi\)
\(104\) 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 −0.771791 0.635876i \(-0.780639\pi\)
0.164789 + 0.986329i \(0.447306\pi\)
\(108\) 2.88983 + 9.98243i 0.278074 + 0.960560i
\(109\) −10.6680 6.15916i −1.02181 0.589941i −0.107180 0.994240i \(-0.534182\pi\)
−0.914627 + 0.404299i \(0.867516\pi\)
\(110\) 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 \(-0.888822\pi\)
0.939620 0.342218i \(-0.111178\pi\)
\(114\) 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 \(-0.583260\pi\)
0.258595 0.965986i \(-0.416740\pi\)
\(128\) −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 −0.282458 0.959280i \(-0.591150\pi\)
0.689531 + 0.724256i \(0.257817\pi\)
\(132\) −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 −0.0718185 0.997418i \(-0.522880\pi\)
−0.899698 + 0.436512i \(0.856214\pi\)
\(138\) −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 0.971435 0.237306i \(-0.0762644\pi\)
−0.691230 + 0.722634i \(0.742931\pi\)
\(150\) 4.32192 + 6.91382i 0.352883 + 0.564511i
\(151\) −3.16245 1.82584i −0.257356 0.148585i 0.365772 0.930705i \(-0.380805\pi\)
−0.623128 + 0.782120i \(0.714138\pi\)
\(152\) 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 0.403461 0.914997i \(-0.367807\pi\)
−0.590680 + 0.806906i \(0.701140\pi\)
\(158\) 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 0.985549 0.169391i \(-0.0541801\pi\)
−0.639471 + 0.768815i \(0.720847\pi\)
\(164\) 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 0.722433 0.691441i \(-0.243024\pi\)
−0.960022 + 0.279925i \(0.909691\pi\)
\(174\) 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 0.445227 0.895418i \(-0.353123\pi\)
−0.552841 + 0.833287i \(0.686456\pi\)
\(180\) −3.39792 + 6.97297i −0.253266 + 0.519735i
\(181\) 4.46877i 0.332161i 0.986112 + 0.166081i \(0.0531112\pi\)
−0.986112 + 0.166081i \(0.946889\pi\)
\(182\) 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 −0.908620 0.417623i \(-0.862863\pi\)
0.0926380 0.995700i \(-0.470470\pi\)
\(192\) 2.74687 + 13.5814i 0.198238 + 0.980154i
\(193\) −2.90298 + 5.02810i −0.208961 + 0.361931i −0.951387 0.307997i \(-0.900341\pi\)
0.742427 + 0.669927i \(0.233675\pi\)
\(194\) −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 0.866459 0.499248i \(-0.166390\pi\)
0.000867851 1.00000i \(0.499724\pi\)
\(200\) 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 \(-0.961540\pi\)
0.992709 0.120532i \(-0.0384600\pi\)
\(224\) −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 0.322953 0.946415i \(-0.395325\pi\)
−0.658143 + 0.752893i \(0.728658\pi\)
\(228\) 2.74339 19.2636i 0.181685 1.27576i
\(229\) −11.2803 + 6.51269i −0.745424 + 0.430371i −0.824038 0.566535i \(-0.808284\pi\)
0.0786144 + 0.996905i \(0.474950\pi\)
\(230\) −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 0.0192009 0.999816i \(-0.493888\pi\)
0.875466 + 0.483279i \(0.160554\pi\)
\(234\) −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 −0.997640 0.0686608i \(-0.978127\pi\)
0.558282 + 0.829651i \(0.311461\pi\)
\(242\) −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 \(0.0538089\pi\)
−0.985746 + 0.168242i \(0.946191\pi\)
\(252\) 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 −0.709218 0.704989i \(-0.750952\pi\)
0.255929 + 0.966696i \(0.417619\pi\)
\(258\) 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 −0.813044 0.582202i \(-0.802191\pi\)
0.910724 + 0.413016i \(0.135525\pi\)
\(264\) −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 −0.522955 0.852361i \(-0.675170\pi\)
0.999643 + 0.0267117i \(0.00850361\pi\)
\(270\) 7.90003 + 5.27654i 0.480781 + 0.321120i
\(271\) −12.4371 + 7.18058i −0.755502 + 0.436189i −0.827678 0.561203i \(-0.810339\pi\)
0.0721766 + 0.997392i \(0.477005\pi\)
\(272\) −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 0.593944 0.804506i \(-0.297570\pi\)
−0.399751 + 0.916624i \(0.630903\pi\)
\(278\) 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 \(0.189920\pi\)
−0.827223 + 0.561874i \(0.810080\pi\)
\(282\) 28.8984 1.01422i 1.72087 0.0603957i
\(283\) 10.7726 18.6586i 0.640362 1.10914i −0.344989 0.938607i \(-0.612117\pi\)
0.985352 0.170534i \(-0.0545492\pi\)
\(284\) −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 −0.993689 0.112173i \(-0.964219\pi\)
0.593989 + 0.804473i \(0.297552\pi\)
\(312\) −7.35815 8.23554i −0.416573 0.466246i
\(313\) 6.95418 + 12.0450i 0.393074 + 0.680824i 0.992853 0.119342i \(-0.0380784\pi\)
−0.599780 + 0.800165i \(0.704745\pi\)
\(314\) −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 0.999357 0.0358569i \(-0.0114161\pi\)
−0.530731 + 0.847540i \(0.678083\pi\)
\(318\) −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 0.702554 0.711630i \(-0.252043\pi\)
−0.967567 + 0.252615i \(0.918709\pi\)
\(332\) 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 0.178319 0.983973i \(-0.442934\pi\)
−0.762986 + 0.646415i \(0.776267\pi\)
\(348\) −3.60042 2.82362i −0.193003 0.151362i
\(349\) 34.5012i 1.84681i −0.383830 0.923404i \(-0.625395\pi\)
0.383830 0.923404i \(-0.374605\pi\)
\(350\) 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 0.722388 0.691488i \(-0.243044\pi\)
−0.237652 + 0.971350i \(0.576378\pi\)
\(354\) −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 0.996303 0.0859047i \(-0.0273780\pi\)
−0.572547 + 0.819872i \(0.694045\pi\)
\(360\) 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 0.932791 0.360417i \(-0.117366\pi\)
0.154266 + 0.988029i \(0.450699\pi\)
\(368\) −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 −0.139784 0.990182i \(-0.544641\pi\)
0.787631 + 0.616147i \(0.211307\pi\)
\(374\) 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 0.973232 0.229826i \(-0.0738158\pi\)
−0.685651 + 0.727930i \(0.740482\pi\)
\(384\) 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 −0.290408 0.956903i \(-0.593791\pi\)
0.973906 0.226950i \(-0.0728755\pi\)
\(390\) −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 −0.659770 0.751467i \(-0.729346\pi\)
0.320905 + 0.947111i \(0.396013\pi\)
\(398\) 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 −0.423631 0.905835i \(-0.639245\pi\)
0.572660 + 0.819793i \(0.305911\pi\)
\(402\) 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 −0.515729 0.856752i \(-0.672479\pi\)
0.999833 + 0.0182590i \(0.00581236\pi\)
\(410\) −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 \(-0.764300\pi\)
0.738150 0.674637i \(-0.235700\pi\)
\(420\) 3.13348 + 11.4269i 0.152898 + 0.557575i
\(421\) 9.36226i 0.456289i 0.973627 + 0.228144i \(0.0732658\pi\)
−0.973627 + 0.228144i \(0.926734\pi\)
\(422\) 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 −0.745998 0.665948i \(-0.768027\pi\)
0.949727 + 0.313080i \(0.101361\pi\)
\(432\) 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 −0.898308 0.439367i \(-0.855203\pi\)
−0.0686510 + 0.997641i \(0.521869\pi\)
\(440\) −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 −0.620854 0.783926i \(-0.713214\pi\)
0.368473 + 0.929638i \(0.379881\pi\)
\(444\) 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 \(-0.678821\pi\)
0.532696 0.846307i \(-0.321179\pi\)
\(450\) −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 0.828286 0.560306i \(-0.189316\pi\)
−0.899382 + 0.437163i \(0.855983\pi\)
\(458\) 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 \(-0.928835\pi\)
0.975112 0.221715i \(-0.0711653\pi\)
\(464\) −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 −0.597569 0.801818i \(-0.703867\pi\)
0.395610 + 0.918419i \(0.370533\pi\)
\(468\) −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 0.366157 + 0.930553i \(0.380673\pi\)
−0.988961 + 0.148175i \(0.952660\pi\)
\(480\) 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 0.479343 0.877627i \(-0.340875\pi\)
−0.520376 + 0.853937i \(0.674208\pi\)
\(488\) 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 \(-0.769974\pi\)
0.750057 0.661373i \(-0.230026\pi\)
\(492\) −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 0.984643 + 0.174578i \(0.0558560\pi\)
−0.341133 + 0.940015i \(0.610811\pi\)
\(500\) 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 0.987854 + 0.155385i \(0.0496618\pi\)
−0.359360 + 0.933199i \(0.617005\pi\)
\(510\) −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 −0.242984 0.970030i \(-0.578126\pi\)
−0.961563 + 0.274585i \(0.911460\pi\)
\(522\) −4.02191 + 3.90231i −0.176034 + 0.170799i
\(523\) 3.11470 + 5.39482i 0.136196 + 0.235899i 0.926054 0.377392i \(-0.123179\pi\)
−0.789858 + 0.613290i \(0.789846\pi\)
\(524\) −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 −0.542372 0.840138i \(-0.682474\pi\)
0.456395 + 0.889777i \(0.349140\pi\)
\(542\) 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 −0.265574 0.964091i \(-0.585561\pi\)
0.967714 0.252052i \(-0.0811053\pi\)
\(558\) 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 0.759023 0.651064i \(-0.225677\pi\)
−0.184326 + 0.982865i \(0.559010\pi\)
\(564\) 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 −0.0128319 0.999918i \(-0.504085\pi\)
0.859538 + 0.511072i \(0.170751\pi\)
\(570\) −9.42856 15.0830i −0.394919 0.631756i
\(571\) 12.0030 20.7898i 0.502311 0.870027i −0.497686 0.867357i \(-0.665817\pi\)
0.999996 0.00267009i \(-0.000849917\pi\)
\(572\) 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 −0.916612 0.399777i \(-0.869087\pi\)
0.804523 + 0.593921i \(0.202421\pi\)
\(578\) 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 \(-0.858143\pi\)
0.902327 0.431052i \(-0.141857\pi\)
\(588\) 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 0.324303 0.945953i \(-0.394870\pi\)
0.981371 + 0.192122i \(0.0615368\pi\)
\(594\) 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 −0.507048 0.861918i \(-0.669263\pi\)
0.999967 + 0.00815783i \(0.00259675\pi\)
\(600\) −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 −0.421844 0.906668i \(-0.638617\pi\)
0.574276 + 0.818662i \(0.305284\pi\)
\(608\) −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 0.925992 0.377543i \(-0.123231\pi\)
0.136034 + 0.990704i \(0.456564\pi\)
\(614\) −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 \(0.0748259\pi\)
−0.972497 + 0.232913i \(0.925174\pi\)
\(618\) 0.385644 + 10.9883i 0.0155129 + 0.442013i
\(619\) −8.62076 + 14.9316i −0.346497 + 0.600151i −0.985625 0.168950i \(-0.945962\pi\)
0.639127 + 0.769101i \(0.279296\pi\)
\(620\) −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 \(-0.968832\pi\)
0.995210 0.0977611i \(-0.0311681\pi\)
\(632\) 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 0.991452 0.130471i \(-0.0416488\pi\)
0.382735 + 0.923858i \(0.374982\pi\)
\(642\) −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 −0.990422 0.138070i \(-0.955910\pi\)
0.614783 + 0.788696i \(0.289243\pi\)
\(648\) −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 0.776698 0.629873i \(-0.216893\pi\)
−0.933835 + 0.357704i \(0.883560\pi\)
\(654\) 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 \(0.0323604\pi\)
−0.994837 + 0.101488i \(0.967640\pi\)
\(660\) −5.10603 + 6.51074i −0.198752 + 0.253430i
\(661\) 33.5498 + 19.3700i 1.30494 + 0.753406i 0.981246 0.192757i \(-0.0617431\pi\)
0.323690 + 0.946163i \(0.395076\pi\)
\(662\) −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 0.991956 + 0.126583i \(0.0404011\pi\)
−0.386354 + 0.922351i \(0.626266\pi\)
\(678\) 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 0.822965 0.568092i \(-0.192318\pi\)
−0.0804996 + 0.996755i \(0.525652\pi\)
\(684\) −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 0.694682 0.719317i \(-0.255545\pi\)
−0.970288 + 0.241953i \(0.922212\pi\)
\(692\) 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 −0.787082 0.616849i \(-0.788409\pi\)
0.140666 + 0.990057i \(0.455076\pi\)
\(710\) −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 0.931629 0.363411i \(-0.118388\pi\)
−0.780538 + 0.625108i \(0.785055\pi\)
\(720\) 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 \(0.00923671\pi\)
−0.999579 + 0.0290139i \(0.990763\pi\)
\(728\) −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 −0.677493 0.735529i \(-0.736934\pi\)
0.298240 + 0.954491i \(0.403600\pi\)
\(734\) 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 −0.965039 0.262108i \(-0.915582\pi\)
0.709511 + 0.704694i \(0.248916\pi\)
\(740\) 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 −0.296240 0.955114i \(-0.595733\pi\)
0.679033 + 0.734108i \(0.262399\pi\)
\(752\) 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 \(-0.871267\pi\)
0.919328 0.393491i \(-0.128733\pi\)
\(758\) −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 −0.963342 0.268276i \(-0.913546\pi\)
−0.249337 + 0.968417i \(0.580213\pi\)
\(762\) 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 −0.487318