Properties

Label 171.2.g.c.106.6
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.6
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.395929 - 0.685769i) q^{2} +(0.659141 + 1.60173i) q^{3} +(0.686481 - 1.18902i) q^{4} +2.59093 q^{5} +(0.837442 - 1.08619i) q^{6} +(-0.373088 + 0.646207i) q^{7} -2.67091 q^{8} +(-2.13107 + 2.11153i) q^{9} +O(q^{10})\) \(q+(-0.395929 - 0.685769i) q^{2} +(0.659141 + 1.60173i) q^{3} +(0.686481 - 1.18902i) q^{4} +2.59093 q^{5} +(0.837442 - 1.08619i) q^{6} +(-0.373088 + 0.646207i) q^{7} -2.67091 q^{8} +(-2.13107 + 2.11153i) q^{9} +(-1.02582 - 1.77678i) q^{10} +(-1.28837 + 2.23153i) q^{11} +(2.35697 + 0.315823i) q^{12} +(3.09365 - 5.35835i) q^{13} +0.590865 q^{14} +(1.70779 + 4.14996i) q^{15} +(-0.315472 - 0.546414i) q^{16} +(0.119999 - 0.207845i) q^{17} +(2.29177 + 0.625402i) q^{18} +(3.89399 + 1.95878i) q^{19} +(1.77862 - 3.08066i) q^{20} +(-1.28097 - 0.171643i) q^{21} +2.04042 q^{22} +(-1.93131 + 3.34513i) q^{23} +(-1.76050 - 4.27806i) q^{24} +1.71290 q^{25} -4.89946 q^{26} +(-4.78677 - 2.02159i) q^{27} +(0.512235 + 0.887218i) q^{28} -6.79737 q^{29} +(2.16975 - 2.81424i) q^{30} +(-3.77423 - 6.53716i) q^{31} +(-2.92071 + 5.05883i) q^{32} +(-4.42353 - 0.592732i) q^{33} -0.190045 q^{34} +(-0.966644 + 1.67428i) q^{35} +(1.04772 + 3.98340i) q^{36} -8.47678 q^{37} +(-0.198475 - 3.44592i) q^{38} +(10.6218 + 1.42327i) q^{39} -6.92012 q^{40} +8.15194 q^{41} +(0.389464 + 0.946405i) q^{42} +(1.44011 + 2.49434i) q^{43} +(1.76889 + 3.06380i) q^{44} +(-5.52143 + 5.47082i) q^{45} +3.05865 q^{46} -4.52565 q^{47} +(0.667266 - 0.865465i) q^{48} +(3.22161 + 5.57999i) q^{49} +(-0.678188 - 1.17466i) q^{50} +(0.412007 + 0.0552070i) q^{51} +(-4.24746 - 7.35681i) q^{52} +(-5.57774 - 9.66094i) q^{53} +(0.508878 + 4.08302i) q^{54} +(-3.33808 + 5.78173i) q^{55} +(0.996483 - 1.72596i) q^{56} +(-0.570737 + 7.52823i) q^{57} +(2.69128 + 4.66143i) q^{58} +0.344246 q^{59} +(6.10675 + 0.818275i) q^{60} +0.0790199 q^{61} +(-2.98865 + 5.17650i) q^{62} +(-0.569412 - 2.16490i) q^{63} +3.36369 q^{64} +(8.01542 - 13.8831i) q^{65} +(1.34492 + 3.26820i) q^{66} +(-4.61385 + 7.99142i) q^{67} +(-0.164754 - 0.285363i) q^{68} +(-6.63100 - 0.888523i) q^{69} +1.53089 q^{70} +(2.15288 - 3.72891i) q^{71} +(5.69187 - 5.63970i) q^{72} +(1.63071 - 2.82448i) q^{73} +(3.35620 + 5.81312i) q^{74} +(1.12905 + 2.74361i) q^{75} +(5.00218 - 3.28537i) q^{76} +(-0.961354 - 1.66511i) q^{77} +(-3.22944 - 7.84760i) q^{78} +(3.57283 + 6.18833i) q^{79} +(-0.817366 - 1.41572i) q^{80} +(0.0828771 - 8.99962i) q^{81} +(-3.22759 - 5.59035i) q^{82} +(1.78498 - 3.09167i) q^{83} +(-1.08345 + 1.40526i) q^{84} +(0.310909 - 0.538510i) q^{85} +(1.14036 - 1.97516i) q^{86} +(-4.48043 - 10.8875i) q^{87} +(3.44113 - 5.96021i) q^{88} +(5.21555 + 9.03360i) q^{89} +(5.93782 + 1.62037i) q^{90} +(2.30841 + 3.99827i) q^{91} +(2.65162 + 4.59274i) q^{92} +(7.98300 - 10.3542i) q^{93} +(1.79184 + 3.10355i) q^{94} +(10.0891 + 5.07505i) q^{95} +(-10.0280 - 1.34371i) q^{96} +(1.20626 + 2.08930i) q^{97} +(2.55106 - 4.41856i) q^{98} +(-1.96633 - 7.47598i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.395929 0.685769i −0.279964 0.484912i 0.691411 0.722461i \(-0.256989\pi\)
−0.971375 + 0.237549i \(0.923656\pi\)
\(3\) 0.659141 + 1.60173i 0.380555 + 0.924758i
\(4\) 0.686481 1.18902i 0.343240 0.594510i
\(5\) 2.59093 1.15870 0.579349 0.815080i \(-0.303307\pi\)
0.579349 + 0.815080i \(0.303307\pi\)
\(6\) 0.837442 1.08619i 0.341884 0.443435i
\(7\) −0.373088 + 0.646207i −0.141014 + 0.244243i −0.927879 0.372882i \(-0.878370\pi\)
0.786865 + 0.617126i \(0.211703\pi\)
\(8\) −2.67091 −0.944308
\(9\) −2.13107 + 2.11153i −0.710355 + 0.703844i
\(10\) −1.02582 1.77678i −0.324394 0.561866i
\(11\) −1.28837 + 2.23153i −0.388460 + 0.672832i −0.992243 0.124317i \(-0.960326\pi\)
0.603783 + 0.797149i \(0.293659\pi\)
\(12\) 2.35697 + 0.315823i 0.680400 + 0.0911703i
\(13\) 3.09365 5.35835i 0.858023 1.48614i −0.0157882 0.999875i \(-0.505026\pi\)
0.873812 0.486265i \(-0.161641\pi\)
\(14\) 0.590865 0.157915
\(15\) 1.70779 + 4.14996i 0.440949 + 1.07152i
\(16\) −0.315472 0.546414i −0.0788681 0.136604i
\(17\) 0.119999 0.207845i 0.0291041 0.0504097i −0.851107 0.524993i \(-0.824068\pi\)
0.880211 + 0.474583i \(0.157401\pi\)
\(18\) 2.29177 + 0.625402i 0.540176 + 0.147409i
\(19\) 3.89399 + 1.95878i 0.893343 + 0.449375i
\(20\) 1.77862 3.08066i 0.397712 0.688857i
\(21\) −1.28097 0.171643i −0.279530 0.0374557i
\(22\) 2.04042 0.435019
\(23\) −1.93131 + 3.34513i −0.402707 + 0.697509i −0.994052 0.108910i \(-0.965264\pi\)
0.591345 + 0.806419i \(0.298597\pi\)
\(24\) −1.76050 4.27806i −0.359362 0.873256i
\(25\) 1.71290 0.342581
\(26\) −4.89946 −0.960863
\(27\) −4.78677 2.02159i −0.921215 0.389055i
\(28\) 0.512235 + 0.887218i 0.0968034 + 0.167668i
\(29\) −6.79737 −1.26224 −0.631120 0.775685i \(-0.717405\pi\)
−0.631120 + 0.775685i \(0.717405\pi\)
\(30\) 2.16975 2.81424i 0.396141 0.513807i
\(31\) −3.77423 6.53716i −0.677872 1.17411i −0.975621 0.219464i \(-0.929569\pi\)
0.297749 0.954644i \(-0.403764\pi\)
\(32\) −2.92071 + 5.05883i −0.516314 + 0.894283i
\(33\) −4.42353 0.592732i −0.770037 0.103181i
\(34\) −0.190045 −0.0325924
\(35\) −0.966644 + 1.67428i −0.163393 + 0.283004i
\(36\) 1.04772 + 3.98340i 0.174619 + 0.663900i
\(37\) −8.47678 −1.39357 −0.696787 0.717278i \(-0.745388\pi\)
−0.696787 + 0.717278i \(0.745388\pi\)
\(38\) −0.198475 3.44592i −0.0321970 0.559002i
\(39\) 10.6218 + 1.42327i 1.70085 + 0.227905i
\(40\) −6.92012 −1.09417
\(41\) 8.15194 1.27312 0.636559 0.771228i \(-0.280357\pi\)
0.636559 + 0.771228i \(0.280357\pi\)
\(42\) 0.389464 + 0.946405i 0.0600956 + 0.146034i
\(43\) 1.44011 + 2.49434i 0.219615 + 0.380384i 0.954690 0.297602i \(-0.0961867\pi\)
−0.735076 + 0.677985i \(0.762853\pi\)
\(44\) 1.76889 + 3.06380i 0.266670 + 0.461886i
\(45\) −5.52143 + 5.47082i −0.823087 + 0.815542i
\(46\) 3.05865 0.450974
\(47\) −4.52565 −0.660134 −0.330067 0.943957i \(-0.607071\pi\)
−0.330067 + 0.943957i \(0.607071\pi\)
\(48\) 0.667266 0.865465i 0.0963115 0.124919i
\(49\) 3.22161 + 5.57999i 0.460230 + 0.797142i
\(50\) −0.678188 1.17466i −0.0959103 0.166122i
\(51\) 0.412007 + 0.0552070i 0.0576925 + 0.00773053i
\(52\) −4.24746 7.35681i −0.589016 1.02021i
\(53\) −5.57774 9.66094i −0.766162 1.32703i −0.939630 0.342192i \(-0.888831\pi\)
0.173468 0.984840i \(-0.444503\pi\)
\(54\) 0.508878 + 4.08302i 0.0692495 + 0.555629i
\(55\) −3.33808 + 5.78173i −0.450107 + 0.779609i
\(56\) 0.996483 1.72596i 0.133161 0.230641i
\(57\) −0.570737 + 7.52823i −0.0755960 + 0.997139i
\(58\) 2.69128 + 4.66143i 0.353382 + 0.612075i
\(59\) 0.344246 0.0448170 0.0224085 0.999749i \(-0.492867\pi\)
0.0224085 + 0.999749i \(0.492867\pi\)
\(60\) 6.10675 + 0.818275i 0.788378 + 0.105639i
\(61\) 0.0790199 0.0101175 0.00505873 0.999987i \(-0.498390\pi\)
0.00505873 + 0.999987i \(0.498390\pi\)
\(62\) −2.98865 + 5.17650i −0.379559 + 0.657416i
\(63\) −0.569412 2.16490i −0.0717391 0.272751i
\(64\) 3.36369 0.420462
\(65\) 8.01542 13.8831i 0.994190 1.72199i
\(66\) 1.34492 + 3.26820i 0.165549 + 0.402287i
\(67\) −4.61385 + 7.99142i −0.563671 + 0.976307i 0.433501 + 0.901153i \(0.357278\pi\)
−0.997172 + 0.0751540i \(0.976055\pi\)
\(68\) −0.164754 0.285363i −0.0199794 0.0346053i
\(69\) −6.63100 0.888523i −0.798279 0.106966i
\(70\) 1.53089 0.182976
\(71\) 2.15288 3.72891i 0.255500 0.442540i −0.709531 0.704674i \(-0.751093\pi\)
0.965031 + 0.262135i \(0.0844264\pi\)
\(72\) 5.69187 5.63970i 0.670794 0.664645i
\(73\) 1.63071 2.82448i 0.190861 0.330580i −0.754675 0.656099i \(-0.772206\pi\)
0.945536 + 0.325518i \(0.105539\pi\)
\(74\) 3.35620 + 5.81312i 0.390151 + 0.675761i
\(75\) 1.12905 + 2.74361i 0.130371 + 0.316804i
\(76\) 5.00218 3.28537i 0.573789 0.376858i
\(77\) −0.961354 1.66511i −0.109556 0.189757i
\(78\) −3.22944 7.84760i −0.365662 0.888566i
\(79\) 3.57283 + 6.18833i 0.401975 + 0.696241i 0.993964 0.109705i \(-0.0349905\pi\)
−0.591989 + 0.805946i \(0.701657\pi\)
\(80\) −0.817366 1.41572i −0.0913843 0.158282i
\(81\) 0.0828771 8.99962i 0.00920857 0.999958i
\(82\) −3.22759 5.59035i −0.356427 0.617350i
\(83\) 1.78498 3.09167i 0.195927 0.339355i −0.751277 0.659987i \(-0.770562\pi\)
0.947204 + 0.320632i \(0.103895\pi\)
\(84\) −1.08345 + 1.40526i −0.118214 + 0.153327i
\(85\) 0.310909 0.538510i 0.0337228 0.0584096i
\(86\) 1.14036 1.97516i 0.122968 0.212987i
\(87\) −4.48043 10.8875i −0.480353 1.16727i
\(88\) 3.44113 5.96021i 0.366825 0.635360i
\(89\) 5.21555 + 9.03360i 0.552848 + 0.957560i 0.998068 + 0.0621388i \(0.0197921\pi\)
−0.445220 + 0.895421i \(0.646875\pi\)
\(90\) 5.93782 + 1.62037i 0.625901 + 0.170802i
\(91\) 2.30841 + 3.99827i 0.241987 + 0.419133i
\(92\) 2.65162 + 4.59274i 0.276450 + 0.478826i
\(93\) 7.98300 10.3542i 0.827798 1.07368i
\(94\) 1.79184 + 3.10355i 0.184814 + 0.320107i
\(95\) 10.0891 + 5.07505i 1.03512 + 0.520689i
\(96\) −10.0280 1.34371i −1.02348 0.137142i
\(97\) 1.20626 + 2.08930i 0.122477 + 0.212136i 0.920744 0.390168i \(-0.127583\pi\)
−0.798267 + 0.602304i \(0.794250\pi\)
\(98\) 2.55106 4.41856i 0.257696 0.446342i
\(99\) −1.96633 7.47598i −0.197624 0.751364i
\(100\) 1.17588 2.03668i 0.117588 0.203668i
\(101\) 15.9278 1.58487 0.792437 0.609954i \(-0.208812\pi\)
0.792437 + 0.609954i \(0.208812\pi\)
\(102\) −0.125266 0.304400i −0.0124032 0.0301401i
\(103\) 0.233085 + 0.403715i 0.0229665 + 0.0397792i 0.877280 0.479979i \(-0.159356\pi\)
−0.854314 + 0.519758i \(0.826022\pi\)
\(104\) −8.26284 + 14.3117i −0.810238 + 1.40337i
\(105\) −3.31889 0.444716i −0.323890 0.0433998i
\(106\) −4.41678 + 7.65009i −0.428996 + 0.743042i
\(107\) −0.597705 −0.0577823 −0.0288911 0.999583i \(-0.509198\pi\)
−0.0288911 + 0.999583i \(0.509198\pi\)
\(108\) −5.68973 + 4.30378i −0.547495 + 0.414132i
\(109\) 5.54817 9.60971i 0.531418 0.920444i −0.467909 0.883777i \(-0.654993\pi\)
0.999328 0.0366670i \(-0.0116741\pi\)
\(110\) 5.28658 0.504055
\(111\) −5.58740 13.5775i −0.530333 1.28872i
\(112\) 0.470796 0.0444860
\(113\) −6.32215 10.9503i −0.594738 1.03012i −0.993584 0.113098i \(-0.963923\pi\)
0.398846 0.917018i \(-0.369411\pi\)
\(114\) 5.38860 2.58925i 0.504689 0.242506i
\(115\) −5.00389 + 8.66700i −0.466616 + 0.808202i
\(116\) −4.66626 + 8.08221i −0.433252 + 0.750414i
\(117\) 4.72157 + 17.9513i 0.436509 + 1.65960i
\(118\) −0.136297 0.236073i −0.0125472 0.0217323i
\(119\) 0.0895405 + 0.155089i 0.00820816 + 0.0142170i
\(120\) −4.56134 11.0842i −0.416391 1.01184i
\(121\) 2.18018 + 3.77619i 0.198198 + 0.343290i
\(122\) −0.0312863 0.0541894i −0.00283252 0.00490608i
\(123\) 5.37328 + 13.0572i 0.484492 + 1.17733i
\(124\) −10.3637 −0.930691
\(125\) −8.51663 −0.761750
\(126\) −1.25917 + 1.24763i −0.112176 + 0.111148i
\(127\) 4.92567 + 8.53152i 0.437083 + 0.757050i 0.997463 0.0711858i \(-0.0226783\pi\)
−0.560380 + 0.828235i \(0.689345\pi\)
\(128\) 4.50965 + 7.81094i 0.398600 + 0.690396i
\(129\) −3.04602 + 3.95079i −0.268187 + 0.347847i
\(130\) −12.6941 −1.11335
\(131\) 20.1493 1.76045 0.880224 0.474558i \(-0.157392\pi\)
0.880224 + 0.474558i \(0.157392\pi\)
\(132\) −3.74143 + 4.85276i −0.325650 + 0.422378i
\(133\) −2.71858 + 1.78553i −0.235731 + 0.154825i
\(134\) 7.30702 0.631231
\(135\) −12.4022 5.23779i −1.06741 0.450797i
\(136\) −0.320506 + 0.555133i −0.0274832 + 0.0476023i
\(137\) −3.88526 −0.331940 −0.165970 0.986131i \(-0.553075\pi\)
−0.165970 + 0.986131i \(0.553075\pi\)
\(138\) 2.01608 + 4.89913i 0.171620 + 0.417042i
\(139\) −0.770102 + 1.33386i −0.0653192 + 0.113136i −0.896836 0.442364i \(-0.854140\pi\)
0.831516 + 0.555500i \(0.187473\pi\)
\(140\) 1.32716 + 2.29872i 0.112166 + 0.194277i
\(141\) −2.98305 7.24887i −0.251218 0.610465i
\(142\) −3.40956 −0.286124
\(143\) 7.97155 + 13.8071i 0.666615 + 1.15461i
\(144\) 1.82606 + 0.498315i 0.152172 + 0.0415262i
\(145\) −17.6115 −1.46256
\(146\) −2.58259 −0.213736
\(147\) −6.81413 + 8.83815i −0.562020 + 0.728958i
\(148\) −5.81915 + 10.0791i −0.478331 + 0.828494i
\(149\) −4.12115 −0.337618 −0.168809 0.985649i \(-0.553992\pi\)
−0.168809 + 0.985649i \(0.553992\pi\)
\(150\) 1.43446 1.86054i 0.117123 0.151912i
\(151\) 9.79231 16.9608i 0.796887 1.38025i −0.124748 0.992188i \(-0.539812\pi\)
0.921634 0.388060i \(-0.126855\pi\)
\(152\) −10.4005 5.23171i −0.843591 0.424348i
\(153\) 0.183144 + 0.696312i 0.0148063 + 0.0562935i
\(154\) −0.761256 + 1.31853i −0.0613437 + 0.106250i
\(155\) −9.77875 16.9373i −0.785448 1.36044i
\(156\) 8.98394 11.6525i 0.719291 0.932943i
\(157\) 2.42409 0.193464 0.0967319 0.995310i \(-0.469161\pi\)
0.0967319 + 0.995310i \(0.469161\pi\)
\(158\) 2.82918 4.90028i 0.225077 0.389845i
\(159\) 11.7977 15.3020i 0.935616 1.21352i
\(160\) −7.56736 + 13.1071i −0.598252 + 1.03620i
\(161\) −1.44110 2.49606i −0.113575 0.196717i
\(162\) −6.20447 + 3.50637i −0.487469 + 0.275487i
\(163\) 5.92945 0.464430 0.232215 0.972664i \(-0.425403\pi\)
0.232215 + 0.972664i \(0.425403\pi\)
\(164\) 5.59615 9.69281i 0.436986 0.756881i
\(165\) −11.4610 1.53572i −0.892240 0.119556i
\(166\) −2.82690 −0.219410
\(167\) 2.37028 4.10545i 0.183418 0.317689i −0.759624 0.650362i \(-0.774617\pi\)
0.943042 + 0.332673i \(0.107950\pi\)
\(168\) 3.42134 + 0.458443i 0.263962 + 0.0353697i
\(169\) −12.6413 21.8954i −0.972408 1.68426i
\(170\) −0.492392 −0.0377647
\(171\) −12.4344 + 4.04800i −0.950880 + 0.309559i
\(172\) 3.95443 0.301522
\(173\) −1.43916 2.49270i −0.109417 0.189517i 0.806117 0.591756i \(-0.201565\pi\)
−0.915534 + 0.402240i \(0.868232\pi\)
\(174\) −5.69241 + 7.38323i −0.431540 + 0.559722i
\(175\) −0.639064 + 1.10689i −0.0483087 + 0.0836731i
\(176\) 1.62579 0.122548
\(177\) 0.226907 + 0.551389i 0.0170554 + 0.0414449i
\(178\) 4.12998 7.15333i 0.309555 0.536165i
\(179\) 16.2405 1.21387 0.606935 0.794752i \(-0.292399\pi\)
0.606935 + 0.794752i \(0.292399\pi\)
\(180\) 2.71456 + 10.3207i 0.202331 + 0.769260i
\(181\) 11.5027 + 19.9233i 0.854989 + 1.48088i 0.876655 + 0.481119i \(0.159770\pi\)
−0.0216663 + 0.999765i \(0.506897\pi\)
\(182\) 1.82793 3.16607i 0.135495 0.234684i
\(183\) 0.0520853 + 0.126568i 0.00385025 + 0.00935620i
\(184\) 5.15836 8.93454i 0.380279 0.658663i
\(185\) −21.9627 −1.61473
\(186\) −10.2613 1.37496i −0.752394 0.100817i
\(187\) 0.309208 + 0.535563i 0.0226115 + 0.0391643i
\(188\) −3.10677 + 5.38109i −0.226585 + 0.392456i
\(189\) 3.09225 2.33902i 0.224928 0.170138i
\(190\) −0.514235 8.92812i −0.0373066 0.647714i
\(191\) −6.57083 + 11.3810i −0.475449 + 0.823502i −0.999605 0.0281209i \(-0.991048\pi\)
0.524156 + 0.851622i \(0.324381\pi\)
\(192\) 2.21715 + 5.38772i 0.160009 + 0.388825i
\(193\) 16.9725 1.22170 0.610852 0.791745i \(-0.290827\pi\)
0.610852 + 0.791745i \(0.290827\pi\)
\(194\) 0.955184 1.65443i 0.0685782 0.118781i
\(195\) 27.5203 + 3.68758i 1.97077 + 0.264073i
\(196\) 8.84629 0.631878
\(197\) −6.99036 −0.498042 −0.249021 0.968498i \(-0.580109\pi\)
−0.249021 + 0.968498i \(0.580109\pi\)
\(198\) −4.34827 + 4.30841i −0.309018 + 0.306185i
\(199\) −10.0819 17.4623i −0.714684 1.23787i −0.963081 0.269211i \(-0.913237\pi\)
0.248397 0.968658i \(-0.420096\pi\)
\(200\) −4.57501 −0.323502
\(201\) −15.8413 2.12265i −1.11736 0.149720i
\(202\) −6.30627 10.9228i −0.443708 0.768524i
\(203\) 2.53602 4.39251i 0.177994 0.308294i
\(204\) 0.348477 0.451986i 0.0243983 0.0316453i
\(205\) 21.1211 1.47516
\(206\) 0.184570 0.319685i 0.0128596 0.0222735i
\(207\) −2.94760 11.2067i −0.204872 0.778921i
\(208\) −3.90384 −0.270683
\(209\) −9.38799 + 6.16592i −0.649381 + 0.426506i
\(210\) 1.00907 + 2.45207i 0.0696326 + 0.169209i
\(211\) −15.5141 −1.06803 −0.534016 0.845474i \(-0.679318\pi\)
−0.534016 + 0.845474i \(0.679318\pi\)
\(212\) −15.3161 −1.05191
\(213\) 7.39175 + 0.990460i 0.506474 + 0.0678652i
\(214\) 0.236649 + 0.409887i 0.0161770 + 0.0280193i
\(215\) 3.73122 + 6.46266i 0.254467 + 0.440750i
\(216\) 12.7850 + 5.39947i 0.869910 + 0.367388i
\(217\) 5.63248 0.382358
\(218\) −8.78672 −0.595112
\(219\) 5.59892 + 0.750228i 0.378340 + 0.0506957i
\(220\) 4.58306 + 7.93809i 0.308990 + 0.535186i
\(221\) −0.742470 1.28600i −0.0499439 0.0865055i
\(222\) −7.09882 + 9.20739i −0.476441 + 0.617960i
\(223\) 11.1614 + 19.3322i 0.747424 + 1.29458i 0.949053 + 0.315115i \(0.102043\pi\)
−0.201629 + 0.979462i \(0.564624\pi\)
\(224\) −2.17937 3.77477i −0.145615 0.252213i
\(225\) −3.65031 + 3.61685i −0.243354 + 0.241123i
\(226\) −5.00624 + 8.67107i −0.333010 + 0.576791i
\(227\) −9.92340 + 17.1878i −0.658639 + 1.14080i 0.322329 + 0.946628i \(0.395534\pi\)
−0.980968 + 0.194169i \(0.937799\pi\)
\(228\) 8.55941 + 5.84660i 0.566861 + 0.387201i
\(229\) 10.8099 + 18.7233i 0.714340 + 1.23727i 0.963213 + 0.268737i \(0.0866064\pi\)
−0.248873 + 0.968536i \(0.580060\pi\)
\(230\) 7.92475 0.522542
\(231\) 2.03339 2.63737i 0.133787 0.173526i
\(232\) 18.1551 1.19194
\(233\) 3.43567 5.95075i 0.225078 0.389847i −0.731265 0.682094i \(-0.761070\pi\)
0.956343 + 0.292247i \(0.0944029\pi\)
\(234\) 10.4411 10.3454i 0.682554 0.676297i
\(235\) −11.7256 −0.764896
\(236\) 0.236318 0.409315i 0.0153830 0.0266441i
\(237\) −7.55702 + 9.80169i −0.490881 + 0.636688i
\(238\) 0.0709033 0.122808i 0.00459598 0.00796047i
\(239\) −0.795373 1.37763i −0.0514484 0.0891113i 0.839154 0.543893i \(-0.183050\pi\)
−0.890603 + 0.454782i \(0.849717\pi\)
\(240\) 1.72884 2.24236i 0.111596 0.144744i
\(241\) −27.8863 −1.79631 −0.898157 0.439675i \(-0.855094\pi\)
−0.898157 + 0.439675i \(0.855094\pi\)
\(242\) 1.72639 2.99020i 0.110977 0.192218i
\(243\) 14.4696 5.79927i 0.928223 0.372024i
\(244\) 0.0542456 0.0939562i 0.00347272 0.00601493i
\(245\) 8.34696 + 14.4574i 0.533268 + 0.923647i
\(246\) 6.82678 8.85454i 0.435259 0.564545i
\(247\) 22.5425 14.8056i 1.43434 0.942060i
\(248\) 10.0806 + 17.4601i 0.640119 + 1.10872i
\(249\) 6.12857 + 0.821200i 0.388382 + 0.0520414i
\(250\) 3.37198 + 5.84044i 0.213263 + 0.369382i
\(251\) −4.62823 8.01632i −0.292131 0.505986i 0.682182 0.731182i \(-0.261031\pi\)
−0.974313 + 0.225196i \(0.927698\pi\)
\(252\) −2.96499 0.809118i −0.186777 0.0509696i
\(253\) −4.97651 8.61957i −0.312871 0.541908i
\(254\) 3.90043 6.75575i 0.244735 0.423893i
\(255\) 1.06748 + 0.143037i 0.0668482 + 0.00895734i
\(256\) 6.93469 12.0112i 0.433418 0.750702i
\(257\) 3.10494 5.37792i 0.193681 0.335465i −0.752786 0.658265i \(-0.771291\pi\)
0.946467 + 0.322800i \(0.104624\pi\)
\(258\) 3.91534 + 0.524636i 0.243758 + 0.0326624i
\(259\) 3.16259 5.47776i 0.196514 0.340371i
\(260\) −11.0049 19.0610i −0.682492 1.18211i
\(261\) 14.4856 14.3529i 0.896639 0.888420i
\(262\) −7.97767 13.8177i −0.492862 0.853663i
\(263\) −2.08904 3.61833i −0.128816 0.223116i 0.794402 0.607392i \(-0.207784\pi\)
−0.923218 + 0.384276i \(0.874451\pi\)
\(264\) 11.8148 + 1.58313i 0.727152 + 0.0974349i
\(265\) −14.4515 25.0308i −0.887751 1.53763i
\(266\) 2.30083 + 1.15737i 0.141073 + 0.0709631i
\(267\) −11.0316 + 14.3083i −0.675122 + 0.875655i
\(268\) 6.33463 + 10.9719i 0.386949 + 0.670216i
\(269\) 13.0970 22.6846i 0.798537 1.38311i −0.122032 0.992526i \(-0.538941\pi\)
0.920569 0.390580i \(-0.127726\pi\)
\(270\) 1.31847 + 10.5788i 0.0802392 + 0.643807i
\(271\) −3.52849 + 6.11152i −0.214340 + 0.371249i −0.953068 0.302755i \(-0.902094\pi\)
0.738728 + 0.674004i \(0.235427\pi\)
\(272\) −0.151426 −0.00918153
\(273\) −4.88258 + 6.33287i −0.295507 + 0.383282i
\(274\) 1.53828 + 2.66439i 0.0929312 + 0.160962i
\(275\) −2.20686 + 3.82240i −0.133079 + 0.230499i
\(276\) −5.60853 + 7.27444i −0.337594 + 0.437870i
\(277\) 4.11711 7.13104i 0.247373 0.428463i −0.715423 0.698691i \(-0.753766\pi\)
0.962796 + 0.270229i \(0.0870994\pi\)
\(278\) 1.21962 0.0731482
\(279\) 21.8465 + 5.96171i 1.30792 + 0.356918i
\(280\) 2.58181 4.47183i 0.154293 0.267243i
\(281\) −27.7682 −1.65651 −0.828256 0.560350i \(-0.810667\pi\)
−0.828256 + 0.560350i \(0.810667\pi\)
\(282\) −3.78997 + 4.91572i −0.225690 + 0.292727i
\(283\) −15.8585 −0.942688 −0.471344 0.881950i \(-0.656231\pi\)
−0.471344 + 0.881950i \(0.656231\pi\)
\(284\) −2.95583 5.11964i −0.175396 0.303795i
\(285\) −1.47874 + 19.5051i −0.0875929 + 1.15538i
\(286\) 6.31234 10.9333i 0.373256 0.646499i
\(287\) −3.04139 + 5.26784i −0.179528 + 0.310951i
\(288\) −4.45763 16.9479i −0.262669 0.998663i
\(289\) 8.47120 + 14.6725i 0.498306 + 0.863091i
\(290\) 6.97290 + 12.0774i 0.409463 + 0.709211i
\(291\) −2.55139 + 3.30924i −0.149565 + 0.193991i
\(292\) −2.23891 3.87790i −0.131022 0.226937i
\(293\) −13.1176 22.7203i −0.766336 1.32733i −0.939537 0.342447i \(-0.888744\pi\)
0.173201 0.984887i \(-0.444589\pi\)
\(294\) 8.75884 + 1.17364i 0.510826 + 0.0684483i
\(295\) 0.891916 0.0519294
\(296\) 22.6407 1.31596
\(297\) 10.6784 8.07726i 0.619623 0.468690i
\(298\) 1.63168 + 2.82616i 0.0945209 + 0.163715i
\(299\) 11.9496 + 20.6973i 0.691064 + 1.19696i
\(300\) 4.03727 + 0.540975i 0.233092 + 0.0312332i
\(301\) −2.14915 −0.123875
\(302\) −15.5082 −0.892398
\(303\) 10.4987 + 25.5120i 0.603132 + 1.46562i
\(304\) −0.158143 2.74567i −0.00907014 0.157475i
\(305\) 0.204735 0.0117231
\(306\) 0.404997 0.401285i 0.0231522 0.0229399i
\(307\) 4.00376 6.93471i 0.228507 0.395785i −0.728859 0.684664i \(-0.759949\pi\)
0.957366 + 0.288879i \(0.0932824\pi\)
\(308\) −2.63980 −0.150417
\(309\) −0.493005 + 0.639444i −0.0280461 + 0.0363767i
\(310\) −7.74338 + 13.4119i −0.439795 + 0.761747i
\(311\) 0.504759 + 0.874268i 0.0286222 + 0.0495752i 0.879982 0.475008i \(-0.157555\pi\)
−0.851359 + 0.524583i \(0.824221\pi\)
\(312\) −28.3698 3.80141i −1.60612 0.215213i
\(313\) 13.4145 0.758233 0.379117 0.925349i \(-0.376228\pi\)
0.379117 + 0.925349i \(0.376228\pi\)
\(314\) −0.959769 1.66237i −0.0541629 0.0938129i
\(315\) −1.47530 5.60909i −0.0831240 0.316036i
\(316\) 9.81072 0.551896
\(317\) −20.1675 −1.13272 −0.566361 0.824157i \(-0.691649\pi\)
−0.566361 + 0.824157i \(0.691649\pi\)
\(318\) −15.1646 2.03199i −0.850391 0.113948i
\(319\) 8.75756 15.1685i 0.490329 0.849275i
\(320\) 8.71508 0.487188
\(321\) −0.393972 0.957360i −0.0219894 0.0534346i
\(322\) −1.14115 + 1.97652i −0.0635936 + 0.110147i
\(323\) 0.874398 0.574294i 0.0486528 0.0319546i
\(324\) −10.6438 6.27661i −0.591324 0.348700i
\(325\) 5.29912 9.17835i 0.293942 0.509123i
\(326\) −2.34764 4.06623i −0.130024 0.225208i
\(327\) 19.0492 + 2.55250i 1.05342 + 0.141154i
\(328\) −21.7731 −1.20222
\(329\) 1.68847 2.92451i 0.0930882 0.161233i
\(330\) 3.48460 + 8.46766i 0.191821 + 0.466129i
\(331\) −9.58507 + 16.6018i −0.526843 + 0.912519i 0.472667 + 0.881241i \(0.343291\pi\)
−0.999511 + 0.0312784i \(0.990042\pi\)
\(332\) −2.45071 4.24475i −0.134500 0.232961i
\(333\) 18.0646 17.8990i 0.989933 0.980859i
\(334\) −3.75386 −0.205402
\(335\) −11.9541 + 20.7052i −0.653125 + 1.13125i
\(336\) 0.310321 + 0.754087i 0.0169294 + 0.0411388i
\(337\) −4.74013 −0.258211 −0.129106 0.991631i \(-0.541211\pi\)
−0.129106 + 0.991631i \(0.541211\pi\)
\(338\) −10.0101 + 17.3380i −0.544479 + 0.943065i
\(339\) 13.3722 17.3442i 0.726278 0.942005i
\(340\) −0.426866 0.739354i −0.0231501 0.0400971i
\(341\) 19.4505 1.05330
\(342\) 7.69912 + 6.92439i 0.416321 + 0.374428i
\(343\) −10.0310 −0.541624
\(344\) −3.84640 6.66215i −0.207384 0.359199i
\(345\) −17.1804 2.30210i −0.924964 0.123941i
\(346\) −1.13961 + 1.97387i −0.0612659 + 0.106116i
\(347\) −5.22915 −0.280716 −0.140358 0.990101i \(-0.544825\pi\)
−0.140358 + 0.990101i \(0.544825\pi\)
\(348\) −16.0212 2.14677i −0.858828 0.115079i
\(349\) 6.15681 10.6639i 0.329567 0.570826i −0.652859 0.757479i \(-0.726431\pi\)
0.982426 + 0.186653i \(0.0597640\pi\)
\(350\) 1.01210 0.0540988
\(351\) −25.6410 + 19.3951i −1.36861 + 1.03524i
\(352\) −7.52595 13.0353i −0.401134 0.694785i
\(353\) 0.258317 0.447419i 0.0137488 0.0238137i −0.859069 0.511860i \(-0.828957\pi\)
0.872818 + 0.488046i \(0.162290\pi\)
\(354\) 0.288286 0.373916i 0.0153222 0.0198734i
\(355\) 5.57797 9.66133i 0.296048 0.512770i
\(356\) 14.3215 0.759038
\(357\) −0.189390 + 0.245645i −0.0100236 + 0.0130009i
\(358\) −6.43007 11.1372i −0.339840 0.588620i
\(359\) −9.78613 + 16.9501i −0.516492 + 0.894591i 0.483324 + 0.875441i \(0.339429\pi\)
−0.999817 + 0.0191496i \(0.993904\pi\)
\(360\) 14.7472 14.6121i 0.777247 0.770123i
\(361\) 11.3264 + 15.2549i 0.596125 + 0.802892i
\(362\) 9.10850 15.7764i 0.478732 0.829189i
\(363\) −4.61138 + 5.98110i −0.242034 + 0.313926i
\(364\) 6.33870 0.332238
\(365\) 4.22506 7.31802i 0.221150 0.383043i
\(366\) 0.0661746 0.0858305i 0.00345900 0.00448643i
\(367\) −28.2514 −1.47471 −0.737356 0.675504i \(-0.763926\pi\)
−0.737356 + 0.675504i \(0.763926\pi\)
\(368\) 2.43710 0.127043
\(369\) −17.3723 + 17.2131i −0.904366 + 0.896076i
\(370\) 8.69568 + 15.0614i 0.452067 + 0.783003i
\(371\) 8.32396 0.432158
\(372\) −6.83117 16.5999i −0.354180 0.860664i
\(373\) 17.6321 + 30.5397i 0.912956 + 1.58129i 0.809866 + 0.586615i \(0.199540\pi\)
0.103090 + 0.994672i \(0.467127\pi\)
\(374\) 0.244849 0.424090i 0.0126608 0.0219292i
\(375\) −5.61366 13.6413i −0.289888 0.704435i
\(376\) 12.0876 0.623370
\(377\) −21.0287 + 36.4227i −1.08303 + 1.87587i
\(378\) −2.82834 1.19449i −0.145474 0.0614378i
\(379\) −13.0819 −0.671973 −0.335986 0.941867i \(-0.609070\pi\)
−0.335986 + 0.941867i \(0.609070\pi\)
\(380\) 12.9603 8.51216i 0.664848 0.436664i
\(381\) −10.4185 + 13.5131i −0.533754 + 0.692295i
\(382\) 10.4063 0.532434
\(383\) −15.4842 −0.791204 −0.395602 0.918422i \(-0.629464\pi\)
−0.395602 + 0.918422i \(0.629464\pi\)
\(384\) −9.53850 + 12.3717i −0.486760 + 0.631343i
\(385\) −2.49080 4.31419i −0.126943 0.219871i
\(386\) −6.71989 11.6392i −0.342033 0.592419i
\(387\) −8.33584 2.27477i −0.423735 0.115633i
\(388\) 3.31229 0.168156
\(389\) 6.13738 0.311178 0.155589 0.987822i \(-0.450273\pi\)
0.155589 + 0.987822i \(0.450273\pi\)
\(390\) −8.36723 20.3326i −0.423691 1.02958i
\(391\) 0.463512 + 0.802826i 0.0234408 + 0.0406007i
\(392\) −8.60462 14.9036i −0.434599 0.752747i
\(393\) 13.2812 + 32.2736i 0.669948 + 1.62799i
\(394\) 2.76768 + 4.79377i 0.139434 + 0.241507i
\(395\) 9.25695 + 16.0335i 0.465768 + 0.806733i
\(396\) −10.2389 2.79410i −0.514526 0.140409i
\(397\) 11.2911 19.5568i 0.566685 0.981528i −0.430205 0.902731i \(-0.641559\pi\)
0.996891 0.0787968i \(-0.0251078\pi\)
\(398\) −7.98340 + 13.8277i −0.400172 + 0.693118i
\(399\) −4.65186 3.17751i −0.232884 0.159074i
\(400\) −0.540374 0.935955i −0.0270187 0.0467978i
\(401\) −21.5331 −1.07531 −0.537657 0.843164i \(-0.680690\pi\)
−0.537657 + 0.843164i \(0.680690\pi\)
\(402\) 4.81636 + 11.7039i 0.240218 + 0.583736i
\(403\) −46.7045 −2.32652
\(404\) 10.9341 18.9384i 0.543992 0.942222i
\(405\) 0.214729 23.3174i 0.0106700 1.15865i
\(406\) −4.01633 −0.199327
\(407\) 10.9213 18.9162i 0.541347 0.937641i
\(408\) −1.10043 0.147453i −0.0544795 0.00730000i
\(409\) 4.92098 8.52338i 0.243327 0.421454i −0.718333 0.695699i \(-0.755095\pi\)
0.961660 + 0.274245i \(0.0884280\pi\)
\(410\) −8.36244 14.4842i −0.412992 0.715323i
\(411\) −2.56093 6.22312i −0.126321 0.306964i
\(412\) 0.640033 0.0315322
\(413\) −0.128434 + 0.222454i −0.00631983 + 0.0109463i
\(414\) −6.51819 + 6.45844i −0.320351 + 0.317415i
\(415\) 4.62475 8.01030i 0.227020 0.393210i
\(416\) 18.0713 + 31.3005i 0.886020 + 1.53463i
\(417\) −2.64408 0.354295i −0.129481 0.0173499i
\(418\) 7.94538 + 3.99673i 0.388621 + 0.195486i
\(419\) −6.15719 10.6646i −0.300798 0.520998i 0.675519 0.737343i \(-0.263920\pi\)
−0.976317 + 0.216345i \(0.930586\pi\)
\(420\) −2.80713 + 3.64094i −0.136974 + 0.177659i
\(421\) 9.26763 + 16.0520i 0.451677 + 0.782327i 0.998490 0.0549274i \(-0.0174927\pi\)
−0.546814 + 0.837254i \(0.684159\pi\)
\(422\) 6.14246 + 10.6391i 0.299010 + 0.517901i
\(423\) 9.64446 9.55606i 0.468930 0.464631i
\(424\) 14.8976 + 25.8035i 0.723493 + 1.25313i
\(425\) 0.205547 0.356018i 0.00997050 0.0172694i
\(426\) −2.24738 5.46118i −0.108886 0.264595i
\(427\) −0.0294814 + 0.0510632i −0.00142670 + 0.00247112i
\(428\) −0.410313 + 0.710682i −0.0198332 + 0.0343521i
\(429\) −16.8609 + 21.8691i −0.814052 + 1.05585i
\(430\) 2.95459 5.11751i 0.142483 0.246788i
\(431\) 4.50820 + 7.80844i 0.217153 + 0.376119i 0.953936 0.300009i \(-0.0969898\pi\)
−0.736784 + 0.676128i \(0.763656\pi\)
\(432\) 0.405469 + 3.25331i 0.0195081 + 0.156525i
\(433\) 0.510034 + 0.883405i 0.0245107 + 0.0424537i 0.878021 0.478623i \(-0.158864\pi\)
−0.853510 + 0.521077i \(0.825531\pi\)
\(434\) −2.23006 3.86258i −0.107046 0.185410i
\(435\) −11.6085 28.2088i −0.556584 1.35251i
\(436\) −7.61742 13.1938i −0.364808 0.631867i
\(437\) −14.0729 + 9.24291i −0.673198 + 0.442149i
\(438\) −1.70229 4.13660i −0.0813385 0.197654i
\(439\) −11.5394 19.9868i −0.550744 0.953917i −0.998221 0.0596217i \(-0.981011\pi\)
0.447477 0.894296i \(-0.352323\pi\)
\(440\) 8.91571 15.4425i 0.425040 0.736190i
\(441\) −18.6478 5.08880i −0.887990 0.242324i
\(442\) −0.587931 + 1.01833i −0.0279650 + 0.0484368i
\(443\) 36.3349 1.72632 0.863162 0.504926i \(-0.168480\pi\)
0.863162 + 0.504926i \(0.168480\pi\)
\(444\) −19.9796 2.67717i −0.948188 0.127053i
\(445\) 13.5131 + 23.4054i 0.640583 + 1.10952i
\(446\) 8.83826 15.3083i 0.418504 0.724870i
\(447\) −2.71642 6.60097i −0.128482 0.312215i
\(448\) −1.25495 + 2.17364i −0.0592910 + 0.102695i
\(449\) 0.710948 0.0335517 0.0167759 0.999859i \(-0.494660\pi\)
0.0167759 + 0.999859i \(0.494660\pi\)
\(450\) 3.92559 + 1.07125i 0.185054 + 0.0504994i
\(451\) −10.5027 + 18.1913i −0.494555 + 0.856594i
\(452\) −17.3601 −0.816552
\(453\) 33.6211 + 4.50506i 1.57966 + 0.211666i
\(454\) 15.7158 0.737581
\(455\) 5.98091 + 10.3592i 0.280389 + 0.485649i
\(456\) 1.52438 20.1072i 0.0713859 0.941606i
\(457\) −1.95861 + 3.39242i −0.0916201 + 0.158691i −0.908193 0.418552i \(-0.862538\pi\)
0.816573 + 0.577242i \(0.195871\pi\)
\(458\) 8.55993 14.8262i 0.399979 0.692784i
\(459\) −0.994585 + 0.752316i −0.0464233 + 0.0351151i
\(460\) 6.87015 + 11.8995i 0.320322 + 0.554815i
\(461\) 20.1656 + 34.9279i 0.939206 + 1.62675i 0.766956 + 0.641700i \(0.221770\pi\)
0.172250 + 0.985053i \(0.444896\pi\)
\(462\) −2.61371 0.350224i −0.121601 0.0162939i
\(463\) −14.2988 24.7662i −0.664520 1.15098i −0.979415 0.201856i \(-0.935303\pi\)
0.314895 0.949127i \(-0.398031\pi\)
\(464\) 2.14438 + 3.71418i 0.0995505 + 0.172426i
\(465\) 20.6834 26.8270i 0.959168 1.24407i
\(466\) −5.44112 −0.252055
\(467\) 37.4815 1.73444 0.867219 0.497928i \(-0.165906\pi\)
0.867219 + 0.497928i \(0.165906\pi\)
\(468\) 24.5857 + 6.70921i 1.13648 + 0.310133i
\(469\) −3.44274 5.96300i −0.158971 0.275346i
\(470\) 4.64252 + 8.04108i 0.214143 + 0.370907i
\(471\) 1.59782 + 3.88274i 0.0736237 + 0.178907i
\(472\) −0.919449 −0.0423211
\(473\) −7.42160 −0.341245
\(474\) 9.71374 + 1.30159i 0.446167 + 0.0597842i
\(475\) 6.67004 + 3.35520i 0.306042 + 0.153947i
\(476\) 0.245871 0.0112695
\(477\) 32.2859 + 8.81051i 1.47827 + 0.403405i
\(478\) −0.629822 + 1.09088i −0.0288074 + 0.0498959i
\(479\) −26.9200 −1.23001 −0.615004 0.788524i \(-0.710846\pi\)
−0.615004 + 0.788524i \(0.710846\pi\)
\(480\) −25.9819 3.48145i −1.18591 0.158906i
\(481\) −26.2242 + 45.4216i −1.19572 + 2.07105i
\(482\) 11.0410 + 19.1236i 0.502903 + 0.871054i
\(483\) 3.04812 3.95351i 0.138694 0.179891i
\(484\) 5.98661 0.272119
\(485\) 3.12533 + 5.41322i 0.141914 + 0.245802i
\(486\) −9.70588 7.62668i −0.440268 0.345953i
\(487\) −18.4707 −0.836987 −0.418494 0.908220i \(-0.637442\pi\)
−0.418494 + 0.908220i \(0.637442\pi\)
\(488\) −0.211055 −0.00955399
\(489\) 3.90835 + 9.49736i 0.176741 + 0.429486i
\(490\) 6.60961 11.4482i 0.298592 0.517176i
\(491\) 42.2932 1.90866 0.954332 0.298747i \(-0.0965686\pi\)
0.954332 + 0.298747i \(0.0965686\pi\)
\(492\) 19.2139 + 2.57457i 0.866229 + 0.116071i
\(493\) −0.815679 + 1.41280i −0.0367363 + 0.0636292i
\(494\) −19.0785 9.59695i −0.858380 0.431787i
\(495\) −5.09463 19.3697i −0.228987 0.870604i
\(496\) −2.38133 + 4.12458i −0.106925 + 0.185199i
\(497\) 1.60643 + 2.78242i 0.0720583 + 0.124809i
\(498\) −1.86333 4.52792i −0.0834976 0.202901i
\(499\) −33.6793 −1.50769 −0.753845 0.657052i \(-0.771803\pi\)
−0.753845 + 0.657052i \(0.771803\pi\)
\(500\) −5.84650 + 10.1264i −0.261463 + 0.452868i
\(501\) 8.13817 + 1.09048i 0.363587 + 0.0487189i
\(502\) −3.66490 + 6.34779i −0.163572 + 0.283316i
\(503\) −17.5970 30.4790i −0.784613 1.35899i −0.929230 0.369502i \(-0.879528\pi\)
0.144617 0.989488i \(-0.453805\pi\)
\(504\) 1.52085 + 5.78223i 0.0677438 + 0.257561i
\(505\) 41.2677 1.83639
\(506\) −3.94069 + 6.82547i −0.175185 + 0.303429i
\(507\) 26.7380 34.6801i 1.18748 1.54020i
\(508\) 13.5255 0.600098
\(509\) 6.32220 10.9504i 0.280226 0.485366i −0.691214 0.722650i \(-0.742924\pi\)
0.971440 + 0.237284i \(0.0762571\pi\)
\(510\) −0.324556 0.788677i −0.0143716 0.0349232i
\(511\) 1.21680 + 2.10756i 0.0538280 + 0.0932329i
\(512\) 7.05601 0.311834
\(513\) −14.6798 17.2483i −0.648130 0.761530i
\(514\) −4.91735 −0.216895
\(515\) 0.603906 + 1.04600i 0.0266113 + 0.0460921i
\(516\) 2.60653 + 6.33392i 0.114746 + 0.278835i
\(517\) 5.83074 10.0991i 0.256435 0.444159i
\(518\) −5.00864 −0.220067
\(519\) 3.04402 3.94819i 0.133618 0.173306i
\(520\) −21.4084 + 37.0805i −0.938821 + 1.62609i
\(521\) 36.6369 1.60509 0.802546 0.596590i \(-0.203478\pi\)
0.802546 + 0.596590i \(0.203478\pi\)
\(522\) −15.5780 4.25109i −0.681832 0.186065i
\(523\) −0.0107484 0.0186167i −0.000469994 0.000814053i 0.865790 0.500407i \(-0.166816\pi\)
−0.866260 + 0.499593i \(0.833483\pi\)
\(524\) 13.8321 23.9579i 0.604257 1.04660i
\(525\) −2.19417 0.294009i −0.0957615 0.0128316i
\(526\) −1.65422 + 2.86520i −0.0721276 + 0.124929i
\(527\) −1.81162 −0.0789153
\(528\) 1.07162 + 2.60407i 0.0466364 + 0.113327i
\(529\) 4.04005 + 6.99758i 0.175654 + 0.304243i
\(530\) −11.4436 + 19.8208i −0.497076 + 0.860962i
\(531\) −0.733611 + 0.726886i −0.0318360 + 0.0315442i
\(532\) 0.256779 + 4.45817i 0.0111328 + 0.193286i
\(533\) 25.2192 43.6810i 1.09237 1.89203i
\(534\) 14.1799 + 1.90004i 0.613625 + 0.0822229i
\(535\) −1.54861 −0.0669522
\(536\) 12.3232 21.3443i 0.532279 0.921935i
\(537\) 10.7048 + 26.0128i 0.461945 + 1.12254i
\(538\) −20.7419 −0.894246
\(539\) −16.6026 −0.715123
\(540\) −14.7417 + 11.1508i −0.634381 + 0.479853i
\(541\) −7.18611 12.4467i −0.308955 0.535126i 0.669179 0.743101i \(-0.266646\pi\)
−0.978134 + 0.207975i \(0.933313\pi\)
\(542\) 5.58812 0.240030
\(543\) −24.3297 + 31.5564i −1.04409 + 1.35422i
\(544\) 0.700967 + 1.21411i 0.0300537 + 0.0520545i
\(545\) 14.3749 24.8981i 0.615753 1.06652i
\(546\) 6.27604 + 0.840960i 0.268590 + 0.0359898i
\(547\) −7.37541 −0.315350 −0.157675 0.987491i \(-0.550400\pi\)
−0.157675 + 0.987491i \(0.550400\pi\)
\(548\) −2.66715 + 4.61964i −0.113935 + 0.197341i
\(549\) −0.168397 + 0.166853i −0.00718699 + 0.00712111i
\(550\) 3.49504 0.149029
\(551\) −26.4689 13.3145i −1.12761 0.567219i
\(552\) 17.7108 + 2.37316i 0.753821 + 0.101008i
\(553\) −5.33192 −0.226736
\(554\) −6.52033 −0.277022
\(555\) −14.4765 35.1783i −0.614495 1.49324i
\(556\) 1.05732 + 1.83133i 0.0448404 + 0.0776658i
\(557\) 6.57042 + 11.3803i 0.278398 + 0.482199i 0.970987 0.239134i \(-0.0768634\pi\)
−0.692589 + 0.721332i \(0.743530\pi\)
\(558\) −4.56132 17.3421i −0.193096 0.734149i
\(559\) 17.8208 0.753738
\(560\) 1.21980 0.0515458
\(561\) −0.654015 + 0.848279i −0.0276125 + 0.0358144i
\(562\) 10.9942 + 19.0426i 0.463764 + 0.803263i
\(563\) 2.60620 + 4.51407i 0.109838 + 0.190245i 0.915705 0.401852i \(-0.131633\pi\)
−0.805866 + 0.592097i \(0.798300\pi\)
\(564\) −10.6668 1.42931i −0.449155 0.0601847i
\(565\) −16.3802 28.3714i −0.689122 1.19359i
\(566\) 6.27882 + 10.8752i 0.263919 + 0.457121i
\(567\) 5.78470 + 3.41121i 0.242935 + 0.143257i
\(568\) −5.75015 + 9.95956i −0.241271 + 0.417894i
\(569\) −1.09700 + 1.90006i −0.0459885 + 0.0796545i −0.888103 0.459644i \(-0.847977\pi\)
0.842115 + 0.539298i \(0.181310\pi\)
\(570\) 13.9615 6.70856i 0.584782 0.280991i
\(571\) −7.89887 13.6813i −0.330558 0.572543i 0.652064 0.758164i \(-0.273903\pi\)
−0.982621 + 0.185622i \(0.940570\pi\)
\(572\) 21.8893 0.915236
\(573\) −22.5604 3.02299i −0.942474 0.126287i
\(574\) 4.81670 0.201045
\(575\) −3.30816 + 5.72990i −0.137960 + 0.238953i
\(576\) −7.16825 + 7.10254i −0.298677 + 0.295939i
\(577\) 4.81787 0.200571 0.100285 0.994959i \(-0.468024\pi\)
0.100285 + 0.994959i \(0.468024\pi\)
\(578\) 6.70799 11.6186i 0.279015 0.483269i
\(579\) 11.1872 + 27.1853i 0.464926 + 1.12978i
\(580\) −12.0900 + 20.9404i −0.502008 + 0.869503i
\(581\) 1.33191 + 2.30693i 0.0552568 + 0.0957077i
\(582\) 3.27955 + 0.439444i 0.135942 + 0.0182155i
\(583\) 28.7449 1.19049
\(584\) −4.35548 + 7.54392i −0.180231 + 0.312169i
\(585\) 12.2332 + 46.5106i 0.505782 + 1.92298i
\(586\) −10.3872 + 17.9912i −0.429093 + 0.743211i
\(587\) −16.8994 29.2706i −0.697512 1.20813i −0.969326 0.245777i \(-0.920957\pi\)
0.271814 0.962350i \(-0.412376\pi\)
\(588\) 5.83096 + 14.1694i 0.240465 + 0.584334i
\(589\) −1.89199 32.8485i −0.0779579 1.35350i
\(590\) −0.353136 0.611649i −0.0145384 0.0251812i
\(591\) −4.60763 11.1966i −0.189533 0.460569i
\(592\) 2.67419 + 4.63183i 0.109909 + 0.190367i
\(593\) 3.70101 + 6.41033i 0.151982 + 0.263241i 0.931956 0.362571i \(-0.118101\pi\)
−0.779974 + 0.625812i \(0.784768\pi\)
\(594\) −9.76702 4.12489i −0.400746 0.169246i
\(595\) 0.231993 + 0.401823i 0.00951078 + 0.0164732i
\(596\) −2.82909 + 4.90013i −0.115884 + 0.200717i
\(597\) 21.3245 27.6585i 0.872752 1.13199i
\(598\) 9.46239 16.3893i 0.386946 0.670210i
\(599\) 5.70023 9.87310i 0.232905 0.403404i −0.725757 0.687952i \(-0.758510\pi\)
0.958662 + 0.284548i \(0.0918435\pi\)
\(600\) −3.01558 7.32792i −0.123110 0.299161i
\(601\) 2.77385 4.80445i 0.113148 0.195978i −0.803890 0.594778i \(-0.797240\pi\)
0.917038 + 0.398800i \(0.130573\pi\)
\(602\) 0.850910 + 1.47382i 0.0346805 + 0.0600684i
\(603\) −7.04172 26.7725i −0.286761 1.09026i
\(604\) −13.4445 23.2865i −0.547047 0.947513i
\(605\) 5.64869 + 9.78383i 0.229652 + 0.397769i
\(606\) 13.3386 17.3006i 0.541843 0.702788i
\(607\) 13.9128 + 24.0976i 0.564702 + 0.978092i 0.997077 + 0.0763983i \(0.0243421\pi\)
−0.432376 + 0.901693i \(0.642325\pi\)
\(608\) −21.2824 + 13.9780i −0.863114 + 0.566883i
\(609\) 8.70720 + 1.16672i 0.352834 + 0.0472781i
\(610\) −0.0810604 0.140401i −0.00328204 0.00568466i
\(611\) −14.0008 + 24.2501i −0.566411 + 0.981052i
\(612\) 0.953654 + 0.260243i 0.0385492 + 0.0105197i
\(613\) 9.29567 16.1006i 0.375448 0.650296i −0.614946 0.788569i \(-0.710822\pi\)
0.990394 + 0.138274i \(0.0441554\pi\)
\(614\) −6.34081 −0.255894
\(615\) 13.9218 + 33.8302i 0.561380 + 1.36417i
\(616\) 2.56769 + 4.44736i 0.103455 + 0.179189i
\(617\) −9.84057 + 17.0444i −0.396167 + 0.686181i −0.993249 0.115999i \(-0.962993\pi\)
0.597083 + 0.802180i \(0.296326\pi\)
\(618\) 0.633706 + 0.0849136i 0.0254914 + 0.00341573i
\(619\) −8.42230 + 14.5879i −0.338521 + 0.586335i −0.984155 0.177312i \(-0.943260\pi\)
0.645634 + 0.763647i \(0.276593\pi\)
\(620\) −26.8517 −1.07839
\(621\) 16.0072 12.1081i 0.642349 0.485880i
\(622\) 0.399697 0.692296i 0.0160264 0.0277585i
\(623\) −7.78344 −0.311837
\(624\) −2.57318 6.25289i −0.103010 0.250316i
\(625\) −30.6305 −1.22522
\(626\) −5.31119 9.19926i −0.212278 0.367676i
\(627\) −16.0641 10.9728i −0.641540 0.438211i
\(628\) 1.66409 2.88229i 0.0664045 0.115016i
\(629\) −1.01721 + 1.76185i −0.0405587 + 0.0702497i
\(630\) −3.26242 + 3.23252i −0.129978 + 0.128787i
\(631\) −5.13196 8.88881i −0.204300 0.353858i 0.745609 0.666383i \(-0.232158\pi\)
−0.949909 + 0.312525i \(0.898825\pi\)
\(632\) −9.54270 16.5284i −0.379588 0.657466i
\(633\) −10.2260 24.8493i −0.406445 0.987671i
\(634\) 7.98491 + 13.8303i 0.317121 + 0.549270i
\(635\) 12.7621 + 22.1045i 0.506447 + 0.877192i
\(636\) −10.0954 24.5322i −0.400310 0.972763i
\(637\) 39.8661 1.57955
\(638\) −13.8695 −0.549098
\(639\) 3.28576 + 12.4924i 0.129983 + 0.494193i
\(640\) 11.6842 + 20.2376i 0.461857 + 0.799960i
\(641\) −2.39758 4.15274i −0.0946988 0.164023i 0.814784 0.579765i \(-0.196855\pi\)
−0.909483 + 0.415741i \(0.863522\pi\)
\(642\) −0.500543 + 0.649220i −0.0197549 + 0.0256227i
\(643\) −16.8023 −0.662618 −0.331309 0.943522i \(-0.607490\pi\)
−0.331309 + 0.943522i \(0.607490\pi\)
\(644\) −3.95715 −0.155933
\(645\) −7.89202 + 10.2362i −0.310748 + 0.403050i
\(646\) −0.740032 0.372255i −0.0291162 0.0146462i
\(647\) −19.6230 −0.771458 −0.385729 0.922612i \(-0.626050\pi\)
−0.385729 + 0.922612i \(0.626050\pi\)
\(648\) −0.221357 + 24.0371i −0.00869572 + 0.944268i
\(649\) −0.443518 + 0.768195i −0.0174096 + 0.0301543i
\(650\) −8.39230 −0.329173
\(651\) 3.71260 + 9.02170i 0.145508 + 0.353588i
\(652\) 4.07045 7.05023i 0.159411 0.276108i
\(653\) 20.9143 + 36.2246i 0.818438 + 1.41758i 0.906833 + 0.421491i \(0.138493\pi\)
−0.0883946 + 0.996086i \(0.528174\pi\)
\(654\) −5.79169 14.0739i −0.226473 0.550335i
\(655\) 52.2053 2.03983
\(656\) −2.57171 4.45433i −0.100408 0.173912i
\(657\) 2.48882 + 9.46245i 0.0970980 + 0.369165i
\(658\) −2.67405 −0.104245
\(659\) −18.6497 −0.726490 −0.363245 0.931694i \(-0.618331\pi\)
−0.363245 + 0.931694i \(0.618331\pi\)
\(660\) −9.69378 + 12.5731i −0.377330 + 0.489409i
\(661\) −13.7354 + 23.7905i −0.534247 + 0.925343i 0.464953 + 0.885336i \(0.346071\pi\)
−0.999199 + 0.0400070i \(0.987262\pi\)
\(662\) 15.1800 0.589989
\(663\) 1.57042 2.03689i 0.0609902 0.0791062i
\(664\) −4.76751 + 8.25757i −0.185015 + 0.320456i
\(665\) −7.04364 + 4.62618i −0.273141 + 0.179396i
\(666\) −19.4269 5.30140i −0.752776 0.205425i
\(667\) 13.1279 22.7381i 0.508313 0.880424i
\(668\) −3.25431 5.63663i −0.125913 0.218088i
\(669\) −23.6079 + 30.6202i −0.912734 + 1.18385i
\(670\) 18.9320 0.731406
\(671\) −0.101807 + 0.176335i −0.00393022 + 0.00680735i
\(672\) 4.60965 5.97886i 0.177821 0.230640i
\(673\) 1.36481 2.36393i 0.0526097 0.0911227i −0.838521 0.544869i \(-0.816579\pi\)
0.891131 + 0.453746i \(0.149913\pi\)
\(674\) 1.87675 + 3.25063i 0.0722898 + 0.125210i
\(675\) −8.19928 3.46279i −0.315591 0.133283i
\(676\) −34.7120 −1.33508
\(677\) 2.68210 4.64553i 0.103081 0.178542i −0.809871 0.586608i \(-0.800463\pi\)
0.912953 + 0.408065i \(0.133796\pi\)
\(678\) −17.1885 2.30318i −0.660121 0.0884531i
\(679\) −1.80016 −0.0690838
\(680\) −0.830409 + 1.43831i −0.0318447 + 0.0551567i
\(681\) −34.0712 4.56538i −1.30561 0.174946i
\(682\) −7.70101 13.3385i −0.294887 0.510759i
\(683\) −29.4476 −1.12678 −0.563390 0.826191i \(-0.690503\pi\)
−0.563390 + 0.826191i \(0.690503\pi\)
\(684\) −3.72280 + 17.5636i −0.142345 + 0.671560i
\(685\) −10.0664 −0.384618
\(686\) 3.97157 + 6.87895i 0.151635 + 0.262640i
\(687\) −22.8644 + 29.6559i −0.872333 + 1.13144i
\(688\) 0.908629 1.57379i 0.0346412 0.0600002i
\(689\) −69.0223 −2.62954
\(690\) 5.22353 + 12.6933i 0.198856 + 0.483225i
\(691\) 18.6988 32.3873i 0.711337 1.23207i −0.253018 0.967462i \(-0.581423\pi\)
0.964355 0.264611i \(-0.0852435\pi\)
\(692\) −3.95183 −0.150226
\(693\) 5.56465 + 1.51854i 0.211383 + 0.0576845i
\(694\) 2.07037 + 3.58599i 0.0785903 + 0.136122i
\(695\) −1.99528 + 3.45593i −0.0756853 + 0.131091i
\(696\) 11.9668 + 29.0796i 0.453601 + 1.10226i
\(697\) 0.978225 1.69434i 0.0370529 0.0641776i
\(698\) −9.75064 −0.369067
\(699\) 11.7961 + 1.58062i 0.446169 + 0.0597845i
\(700\) 0.877410 + 1.51972i 0.0331630 + 0.0574400i
\(701\) 12.0381 20.8506i 0.454673 0.787517i −0.543996 0.839088i \(-0.683090\pi\)
0.998669 + 0.0515710i \(0.0164228\pi\)
\(702\) 23.4526 + 9.90469i 0.885161 + 0.373828i
\(703\) −33.0085 16.6041i −1.24494 0.626237i
\(704\) −4.33370 + 7.50618i −0.163332 + 0.282900i
\(705\) −7.72885 18.7813i −0.291086 0.707344i
\(706\) −0.409101 −0.0153967
\(707\) −5.94246 + 10.2926i −0.223489 + 0.387095i
\(708\) 0.811379 + 0.108721i 0.0304935 + 0.00408598i
\(709\) −11.4163 −0.428747 −0.214374 0.976752i \(-0.568771\pi\)
−0.214374 + 0.976752i \(0.568771\pi\)
\(710\) −8.83392 −0.331531
\(711\) −20.6808 5.64358i −0.775590 0.211651i
\(712\) −13.9303 24.1279i −0.522058 0.904231i
\(713\) 29.1569 1.09193
\(714\) 0.243441 + 0.0326199i 0.00911054 + 0.00122077i
\(715\) 20.6537 + 35.7733i 0.772405 + 1.33784i
\(716\) 11.1488 19.3102i 0.416649 0.721657i
\(717\) 1.68232 2.18202i 0.0628274 0.0814891i
\(718\) 15.4985 0.578397
\(719\) −4.42810 + 7.66969i −0.165140 + 0.286031i −0.936705 0.350119i \(-0.886141\pi\)
0.771565 + 0.636151i \(0.219474\pi\)
\(720\) 4.73119 + 1.29110i 0.176321 + 0.0481163i
\(721\) −0.347845 −0.0129544
\(722\) 5.97693 13.8072i 0.222438 0.513849i
\(723\) −18.3810 44.6663i −0.683597 1.66116i
\(724\) 31.5855 1.17387
\(725\) −11.6433 −0.432420
\(726\) 5.92743 + 0.794248i 0.219988 + 0.0294773i
\(727\) −13.3462 23.1163i −0.494982 0.857334i 0.505001 0.863119i \(-0.331492\pi\)
−0.999983 + 0.00578442i \(0.998159\pi\)
\(728\) −6.16553 10.6790i −0.228510 0.395791i
\(729\) 18.8264 + 19.3538i 0.697272 + 0.716806i
\(730\) −6.69129 −0.247656
\(731\) 0.691247 0.0255667
\(732\) 0.186248 + 0.0249563i 0.00688391 + 0.000922412i
\(733\) −7.37986 12.7823i −0.272581 0.472125i 0.696941 0.717129i \(-0.254544\pi\)
−0.969522 + 0.245004i \(0.921211\pi\)
\(734\) 11.1856 + 19.3740i 0.412866 + 0.715106i
\(735\) −17.6549 + 22.8990i −0.651212 + 0.844642i
\(736\) −11.2816 19.5404i −0.415847 0.720267i
\(737\) −11.8887 20.5919i −0.437927 0.758512i
\(738\) 18.6824 + 5.09824i 0.687708 + 0.187669i
\(739\) −8.59207 + 14.8819i −0.316065 + 0.547440i −0.979663 0.200649i \(-0.935695\pi\)
0.663599 + 0.748089i \(0.269028\pi\)
\(740\) −15.0770 + 26.1141i −0.554241 + 0.959974i
\(741\) 38.5733 + 26.3479i 1.41702 + 0.967914i
\(742\) −3.29570 5.70831i −0.120989 0.209559i
\(743\) 33.4683 1.22783 0.613917 0.789370i \(-0.289593\pi\)
0.613917 + 0.789370i \(0.289593\pi\)
\(744\) −21.3218 + 27.6551i −0.781696 + 1.01388i
\(745\) −10.6776 −0.391197
\(746\) 13.9621 24.1831i 0.511190 0.885407i
\(747\) 2.72426 + 10.3576i 0.0996754 + 0.378964i
\(748\) 0.849060 0.0310447
\(749\) 0.222996 0.386241i 0.00814811 0.0141129i
\(750\) −7.13218 + 9.25067i −0.260430 + 0.337787i
\(751\) 4.86944 8.43412i 0.177688 0.307765i −0.763400 0.645926i \(-0.776471\pi\)
0.941088 + 0.338161i \(0.109805\pi\)
\(752\) 1.42772 + 2.47288i 0.0520635 + 0.0901767i
\(753\) 9.78931 12.6970i 0.356742 0.462706i
\(754\) 33.3034 1.21284
\(755\) 25.3712 43.9441i 0.923351 1.59929i
\(756\) −0.658363 5.28244i −0.0239444 0.192120i
\(757\) 4.20284 7.27954i 0.152755 0.264579i −0.779484 0.626422i \(-0.784519\pi\)
0.932239 + 0.361842i \(0.117852\pi\)
\(758\) 5.17951 + 8.97117i 0.188128 + 0.325848i
\(759\) 10.5260 13.6525i 0.382069 0.495556i
\(760\) −26.9469 13.5550i −0.977467 0.491691i
\(761\) −9.41541 16.3080i −0.341308 0.591163i 0.643368 0.765557i \(-0.277537\pi\)
−0.984676 + 0.174394i \(0.944203\pi\)
\(762\) 13.3918 + 1.79444i 0.485134 + 0.0650057i
\(763\) 4.13991 + 7.17054i 0.149875 + 0.259591i
\(764\) 9.02150 + 15.6257i 0.326386 + 0.565318i
\(765\) 0.474514 + 1.80409i 0.0171561 + 0.0652272i
\(766\) 6.13063 + 10.6186i 0.221509 + 0.383664i
\(767\) 1.06498 1.84459i 0.0384540 0.0666044i
\(768\) 23.8097 + 3.19039i 0.859158 + 0.115123i
\(769\) 16.4630 28.5148i 0.593671 1.02827i −0.400062 0.916488i \(-0.631011\pi\)
0.993733 0.111780i \(-0.0356553\pi\)
\(770\) −1.97236 + 3.41622i −0.0710789 + 0.123112i
\(771\) 10.6606 + 1.42846i 0.383931 + 0.0514449i
\(772\) 11.6513 20.1806i 0.419338 0.726315i
\(773\) 10.5240 + 18.2282i 0.378523 + 0.655622i 0.990848 0.134985i \(-0.0430986\pi\)
−0.612324 + 0.790607i \(0.709765\pi\)
\(774\) 1.74043 + 6.61711i 0.0625586 + 0.237847i