Properties

Label 171.2.g.c.106.12
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 106.12
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.847114 + 1.46725i) q^{2} +(0.0521113 - 1.73127i) q^{3} +(-0.435206 + 0.753799i) q^{4} +0.0882176 q^{5} +(2.58434 - 1.39012i) q^{6} +(1.84695 - 3.19901i) q^{7} +1.91378 q^{8} +(-2.99457 - 0.180437i) q^{9} +O(q^{10})\) \(q+(0.847114 + 1.46725i) q^{2} +(0.0521113 - 1.73127i) q^{3} +(-0.435206 + 0.753799i) q^{4} +0.0882176 q^{5} +(2.58434 - 1.39012i) q^{6} +(1.84695 - 3.19901i) q^{7} +1.91378 q^{8} +(-2.99457 - 0.180437i) q^{9} +(0.0747304 + 0.129437i) q^{10} +(-1.97689 + 3.42408i) q^{11} +(1.28235 + 0.792739i) q^{12} +(-2.03012 + 3.51627i) q^{13} +6.25832 q^{14} +(0.00459714 - 0.152728i) q^{15} +(2.49160 + 4.31558i) q^{16} +(-0.586674 + 1.01615i) q^{17} +(-2.27200 - 4.54662i) q^{18} +(3.26283 - 2.89032i) q^{19} +(-0.0383928 + 0.0664983i) q^{20} +(-5.44210 - 3.36427i) q^{21} -6.69862 q^{22} +(-1.91604 + 3.31868i) q^{23} +(0.0997296 - 3.31327i) q^{24} -4.99222 q^{25} -6.87897 q^{26} +(-0.468436 + 5.17499i) q^{27} +(1.60761 + 2.78446i) q^{28} +6.56701 q^{29} +(0.227984 - 0.122633i) q^{30} +(-4.14650 - 7.18194i) q^{31} +(-2.30757 + 3.99682i) q^{32} +(5.82498 + 3.60096i) q^{33} -1.98792 q^{34} +(0.162934 - 0.282209i) q^{35} +(1.43927 - 2.17878i) q^{36} -6.88356 q^{37} +(7.00480 + 2.33893i) q^{38} +(5.98181 + 3.69791i) q^{39} +0.168829 q^{40} -4.66112 q^{41} +(0.326129 - 10.8348i) q^{42} +(4.12481 + 7.14438i) q^{43} +(-1.72071 - 2.98036i) q^{44} +(-0.264174 - 0.0159177i) q^{45} -6.49243 q^{46} +4.43759 q^{47} +(7.60127 - 4.08874i) q^{48} +(-3.32246 - 5.75467i) q^{49} +(-4.22898 - 7.32481i) q^{50} +(1.72865 + 1.06864i) q^{51} +(-1.76704 - 3.06060i) q^{52} +(-3.62409 - 6.27711i) q^{53} +(-7.98981 + 3.69650i) q^{54} +(-0.174397 + 0.302064i) q^{55} +(3.53466 - 6.12221i) q^{56} +(-4.83389 - 5.79944i) q^{57} +(5.56301 + 9.63542i) q^{58} +1.01191 q^{59} +(0.113126 + 0.0699336i) q^{60} +3.22038 q^{61} +(7.02511 - 12.1679i) q^{62} +(-6.10804 + 9.24641i) q^{63} +2.14732 q^{64} +(-0.179092 + 0.310197i) q^{65} +(-0.349074 + 11.5971i) q^{66} +(1.45149 - 2.51405i) q^{67} +(-0.510648 - 0.884469i) q^{68} +(5.64568 + 3.49012i) q^{69} +0.552094 q^{70} +(-4.36630 + 7.56265i) q^{71} +(-5.73095 - 0.345317i) q^{72} +(3.43748 - 5.95390i) q^{73} +(-5.83116 - 10.0999i) q^{74} +(-0.260151 + 8.64286i) q^{75} +(0.758720 + 3.71740i) q^{76} +(7.30245 + 12.6482i) q^{77} +(-0.358472 + 11.9093i) q^{78} +(2.65505 + 4.59868i) q^{79} +(0.219803 + 0.380711i) q^{80} +(8.93488 + 1.08066i) q^{81} +(-3.94850 - 6.83901i) q^{82} +(3.34887 - 5.80042i) q^{83} +(4.90442 - 2.63810i) q^{84} +(-0.0517550 + 0.0896423i) q^{85} +(-6.98837 + 12.1042i) q^{86} +(0.342216 - 11.3693i) q^{87} +(-3.78334 + 6.55294i) q^{88} +(4.41568 + 7.64818i) q^{89} +(-0.200430 - 0.401092i) q^{90} +(7.49906 + 12.9888i) q^{91} +(-1.66775 - 2.88862i) q^{92} +(-12.6499 + 6.80443i) q^{93} +(3.75915 + 6.51104i) q^{94} +(0.287839 - 0.254977i) q^{95} +(6.79931 + 4.20329i) q^{96} +(-0.894933 - 1.55007i) q^{97} +(5.62901 - 9.74973i) q^{98} +(6.53777 - 9.89694i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.847114 + 1.46725i 0.599000 + 1.03750i 0.992969 + 0.118375i \(0.0377686\pi\)
−0.393969 + 0.919124i \(0.628898\pi\)
\(3\) 0.0521113 1.73127i 0.0300865 0.999547i
\(4\) −0.435206 + 0.753799i −0.217603 + 0.376899i
\(5\) 0.0882176 0.0394521 0.0197261 0.999805i \(-0.493721\pi\)
0.0197261 + 0.999805i \(0.493721\pi\)
\(6\) 2.58434 1.39012i 1.05505 0.567515i
\(7\) 1.84695 3.19901i 0.698082 1.20911i −0.271049 0.962566i \(-0.587370\pi\)
0.969131 0.246548i \(-0.0792963\pi\)
\(8\) 1.91378 0.676624
\(9\) −2.99457 0.180437i −0.998190 0.0601457i
\(10\) 0.0747304 + 0.129437i 0.0236318 + 0.0409315i
\(11\) −1.97689 + 3.42408i −0.596056 + 1.03240i 0.397341 + 0.917671i \(0.369933\pi\)
−0.993397 + 0.114728i \(0.963400\pi\)
\(12\) 1.28235 + 0.792739i 0.370182 + 0.228844i
\(13\) −2.03012 + 3.51627i −0.563054 + 0.975238i 0.434174 + 0.900829i \(0.357040\pi\)
−0.997228 + 0.0744086i \(0.976293\pi\)
\(14\) 6.25832 1.67261
\(15\) 0.00459714 0.152728i 0.00118698 0.0394343i
\(16\) 2.49160 + 4.31558i 0.622901 + 1.07890i
\(17\) −0.586674 + 1.01615i −0.142289 + 0.246452i −0.928358 0.371686i \(-0.878780\pi\)
0.786069 + 0.618139i \(0.212113\pi\)
\(18\) −2.27200 4.54662i −0.535515 1.07165i
\(19\) 3.26283 2.89032i 0.748544 0.663085i
\(20\) −0.0383928 + 0.0664983i −0.00858490 + 0.0148695i
\(21\) −5.44210 3.36427i −1.18756 0.734144i
\(22\) −6.69862 −1.42815
\(23\) −1.91604 + 3.31868i −0.399523 + 0.691994i −0.993667 0.112365i \(-0.964157\pi\)
0.594144 + 0.804358i \(0.297491\pi\)
\(24\) 0.0997296 3.31327i 0.0203572 0.676317i
\(25\) −4.99222 −0.998444
\(26\) −6.87897 −1.34908
\(27\) −0.468436 + 5.17499i −0.0901505 + 0.995928i
\(28\) 1.60761 + 2.78446i 0.303809 + 0.526213i
\(29\) 6.56701 1.21946 0.609732 0.792608i \(-0.291277\pi\)
0.609732 + 0.792608i \(0.291277\pi\)
\(30\) 0.227984 0.122633i 0.0416240 0.0223897i
\(31\) −4.14650 7.18194i −0.744733 1.28991i −0.950320 0.311276i \(-0.899244\pi\)
0.205587 0.978639i \(-0.434090\pi\)
\(32\) −2.30757 + 3.99682i −0.407924 + 0.706545i
\(33\) 5.82498 + 3.60096i 1.01400 + 0.626847i
\(34\) −1.98792 −0.340926
\(35\) 0.162934 0.282209i 0.0275408 0.0477021i
\(36\) 1.43927 2.17878i 0.239878 0.363129i
\(37\) −6.88356 −1.13165 −0.565825 0.824525i \(-0.691442\pi\)
−0.565825 + 0.824525i \(0.691442\pi\)
\(38\) 7.00480 + 2.33893i 1.13633 + 0.379425i
\(39\) 5.98181 + 3.69791i 0.957856 + 0.592140i
\(40\) 0.168829 0.0266942
\(41\) −4.66112 −0.727945 −0.363972 0.931410i \(-0.618580\pi\)
−0.363972 + 0.931410i \(0.618580\pi\)
\(42\) 0.326129 10.8348i 0.0503228 1.67185i
\(43\) 4.12481 + 7.14438i 0.629028 + 1.08951i 0.987747 + 0.156062i \(0.0498801\pi\)
−0.358720 + 0.933445i \(0.616787\pi\)
\(44\) −1.72071 2.98036i −0.259407 0.449306i
\(45\) −0.264174 0.0159177i −0.0393807 0.00237288i
\(46\) −6.49243 −0.957257
\(47\) 4.43759 0.647290 0.323645 0.946179i \(-0.395092\pi\)
0.323645 + 0.946179i \(0.395092\pi\)
\(48\) 7.60127 4.08874i 1.09715 0.590159i
\(49\) −3.32246 5.75467i −0.474637 0.822095i
\(50\) −4.22898 7.32481i −0.598068 1.03588i
\(51\) 1.72865 + 1.06864i 0.242060 + 0.149640i
\(52\) −1.76704 3.06060i −0.245044 0.424429i
\(53\) −3.62409 6.27711i −0.497807 0.862227i 0.502190 0.864758i \(-0.332528\pi\)
−0.999997 + 0.00253016i \(0.999195\pi\)
\(54\) −7.98981 + 3.69650i −1.08727 + 0.503030i
\(55\) −0.174397 + 0.302064i −0.0235157 + 0.0407303i
\(56\) 3.53466 6.12221i 0.472339 0.818115i
\(57\) −4.83389 5.79944i −0.640264 0.768155i
\(58\) 5.56301 + 9.63542i 0.730459 + 1.26519i
\(59\) 1.01191 0.131740 0.0658700 0.997828i \(-0.479018\pi\)
0.0658700 + 0.997828i \(0.479018\pi\)
\(60\) 0.113126 + 0.0699336i 0.0146045 + 0.00902838i
\(61\) 3.22038 0.412327 0.206164 0.978518i \(-0.433902\pi\)
0.206164 + 0.978518i \(0.433902\pi\)
\(62\) 7.02511 12.1679i 0.892190 1.54532i
\(63\) −6.10804 + 9.24641i −0.769541 + 1.16494i
\(64\) 2.14732 0.268415
\(65\) −0.179092 + 0.310197i −0.0222137 + 0.0384752i
\(66\) −0.349074 + 11.5971i −0.0429680 + 1.42750i
\(67\) 1.45149 2.51405i 0.177327 0.307140i −0.763637 0.645646i \(-0.776588\pi\)
0.940964 + 0.338506i \(0.109922\pi\)
\(68\) −0.510648 0.884469i −0.0619252 0.107258i
\(69\) 5.64568 + 3.49012i 0.679660 + 0.420161i
\(70\) 0.552094 0.0659878
\(71\) −4.36630 + 7.56265i −0.518184 + 0.897521i 0.481593 + 0.876395i \(0.340058\pi\)
−0.999777 + 0.0211261i \(0.993275\pi\)
\(72\) −5.73095 0.345317i −0.675399 0.0406960i
\(73\) 3.43748 5.95390i 0.402327 0.696851i −0.591679 0.806173i \(-0.701535\pi\)
0.994006 + 0.109323i \(0.0348682\pi\)
\(74\) −5.83116 10.0999i −0.677859 1.17409i
\(75\) −0.260151 + 8.64286i −0.0300396 + 0.997992i
\(76\) 0.758720 + 3.71740i 0.0870312 + 0.426415i
\(77\) 7.30245 + 12.6482i 0.832191 + 1.44140i
\(78\) −0.358472 + 11.9093i −0.0405890 + 1.34847i
\(79\) 2.65505 + 4.59868i 0.298716 + 0.517392i 0.975843 0.218475i \(-0.0701082\pi\)
−0.677126 + 0.735867i \(0.736775\pi\)
\(80\) 0.219803 + 0.380711i 0.0245748 + 0.0425647i
\(81\) 8.93488 + 1.08066i 0.992765 + 0.120074i
\(82\) −3.94850 6.83901i −0.436039 0.755242i
\(83\) 3.34887 5.80042i 0.367586 0.636678i −0.621601 0.783334i \(-0.713518\pi\)
0.989188 + 0.146655i \(0.0468509\pi\)
\(84\) 4.90442 2.63810i 0.535116 0.287840i
\(85\) −0.0517550 + 0.0896423i −0.00561362 + 0.00972307i
\(86\) −6.98837 + 12.1042i −0.753576 + 1.30523i
\(87\) 0.342216 11.3693i 0.0366894 1.21891i
\(88\) −3.78334 + 6.55294i −0.403305 + 0.698545i
\(89\) 4.41568 + 7.64818i 0.468061 + 0.810706i 0.999334 0.0364951i \(-0.0116193\pi\)
−0.531273 + 0.847201i \(0.678286\pi\)
\(90\) −0.200430 0.401092i −0.0211272 0.0422788i
\(91\) 7.49906 + 12.9888i 0.786115 + 1.36159i
\(92\) −1.66775 2.88862i −0.173875 0.301160i
\(93\) −12.6499 + 6.80443i −1.31174 + 0.705587i
\(94\) 3.75915 + 6.51104i 0.387727 + 0.671563i
\(95\) 0.287839 0.254977i 0.0295316 0.0261601i
\(96\) 6.79931 + 4.20329i 0.693952 + 0.428997i
\(97\) −0.894933 1.55007i −0.0908667 0.157386i 0.817009 0.576624i \(-0.195630\pi\)
−0.907876 + 0.419239i \(0.862297\pi\)
\(98\) 5.62901 9.74973i 0.568616 0.984871i
\(99\) 6.53777 9.89694i 0.657071 0.994679i
\(100\) 2.17264 3.76313i 0.217264 0.376313i
\(101\) −7.88340 −0.784428 −0.392214 0.919874i \(-0.628291\pi\)
−0.392214 + 0.919874i \(0.628291\pi\)
\(102\) −0.103593 + 3.44162i −0.0102572 + 0.340771i
\(103\) −0.0529084 0.0916401i −0.00521322 0.00902956i 0.863407 0.504508i \(-0.168326\pi\)
−0.868620 + 0.495478i \(0.834993\pi\)
\(104\) −3.88520 + 6.72937i −0.380975 + 0.659869i
\(105\) −0.480089 0.296788i −0.0468519 0.0289635i
\(106\) 6.14004 10.6349i 0.596373 1.03295i
\(107\) −11.4812 −1.10993 −0.554966 0.831873i \(-0.687269\pi\)
−0.554966 + 0.831873i \(0.687269\pi\)
\(108\) −3.69704 2.60529i −0.355748 0.250695i
\(109\) 9.52628 16.5000i 0.912452 1.58041i 0.101862 0.994799i \(-0.467520\pi\)
0.810590 0.585614i \(-0.199147\pi\)
\(110\) −0.590936 −0.0563436
\(111\) −0.358711 + 11.9173i −0.0340473 + 1.13114i
\(112\) 18.4075 1.73934
\(113\) −10.4274 18.0607i −0.980923 1.69901i −0.658812 0.752307i \(-0.728941\pi\)
−0.322111 0.946702i \(-0.604392\pi\)
\(114\) 4.41435 12.0053i 0.413441 1.12440i
\(115\) −0.169029 + 0.292767i −0.0157620 + 0.0273006i
\(116\) −2.85800 + 4.95021i −0.265359 + 0.459615i
\(117\) 6.71380 10.1634i 0.620691 0.939607i
\(118\) 0.857208 + 1.48473i 0.0789124 + 0.136680i
\(119\) 2.16712 + 3.75356i 0.198659 + 0.344088i
\(120\) 0.00879791 0.292288i 0.000803136 0.0266822i
\(121\) −2.31621 4.01180i −0.210565 0.364709i
\(122\) 2.72803 + 4.72508i 0.246984 + 0.427789i
\(123\) −0.242897 + 8.06964i −0.0219013 + 0.727615i
\(124\) 7.21832 0.648224
\(125\) −0.881490 −0.0788428
\(126\) −18.7410 1.12923i −1.66958 0.100600i
\(127\) −0.856344 1.48323i −0.0759883 0.131616i 0.825527 0.564362i \(-0.190878\pi\)
−0.901516 + 0.432747i \(0.857544\pi\)
\(128\) 6.43416 + 11.1443i 0.568705 + 0.985026i
\(129\) 12.5838 6.76884i 1.10794 0.595963i
\(130\) −0.606847 −0.0532240
\(131\) 12.5149 1.09343 0.546716 0.837318i \(-0.315878\pi\)
0.546716 + 0.837318i \(0.315878\pi\)
\(132\) −5.24947 + 2.82370i −0.456907 + 0.245772i
\(133\) −3.21990 15.7761i −0.279201 1.36796i
\(134\) 4.91830 0.424876
\(135\) −0.0413243 + 0.456526i −0.00355663 + 0.0392915i
\(136\) −1.12277 + 1.94469i −0.0962764 + 0.166756i
\(137\) −21.3990 −1.82824 −0.914121 0.405441i \(-0.867118\pi\)
−0.914121 + 0.405441i \(0.867118\pi\)
\(138\) −0.338329 + 11.2401i −0.0288005 + 0.956824i
\(139\) 8.50131 14.7247i 0.721072 1.24893i −0.239499 0.970897i \(-0.576983\pi\)
0.960571 0.278036i \(-0.0896836\pi\)
\(140\) 0.141819 + 0.245638i 0.0119859 + 0.0207602i
\(141\) 0.231249 7.68266i 0.0194747 0.646997i
\(142\) −14.7950 −1.24157
\(143\) −8.02666 13.9026i −0.671223 1.16259i
\(144\) −6.68259 13.3729i −0.556882 1.11441i
\(145\) 0.579326 0.0481104
\(146\) 11.6478 0.963976
\(147\) −10.1360 + 5.45218i −0.836003 + 0.449688i
\(148\) 2.99576 5.18882i 0.246250 0.426518i
\(149\) −0.774691 −0.0634652 −0.0317326 0.999496i \(-0.510102\pi\)
−0.0317326 + 0.999496i \(0.510102\pi\)
\(150\) −12.9016 + 6.93979i −1.05341 + 0.566631i
\(151\) 0.798471 1.38299i 0.0649787 0.112546i −0.831706 0.555217i \(-0.812635\pi\)
0.896685 + 0.442670i \(0.145969\pi\)
\(152\) 6.24433 5.53144i 0.506482 0.448659i
\(153\) 1.94019 2.93707i 0.156855 0.237448i
\(154\) −12.3720 + 21.4290i −0.996966 + 1.72680i
\(155\) −0.365794 0.633574i −0.0293813 0.0508899i
\(156\) −5.39080 + 2.89972i −0.431610 + 0.232164i
\(157\) 15.8915 1.26828 0.634141 0.773218i \(-0.281354\pi\)
0.634141 + 0.773218i \(0.281354\pi\)
\(158\) −4.49826 + 7.79122i −0.357862 + 0.619836i
\(159\) −11.0562 + 5.94716i −0.876814 + 0.471640i
\(160\) −0.203568 + 0.352590i −0.0160935 + 0.0278747i
\(161\) 7.07768 + 12.2589i 0.557799 + 0.966137i
\(162\) 5.98327 + 14.0251i 0.470090 + 1.10192i
\(163\) 5.95901 0.466746 0.233373 0.972387i \(-0.425024\pi\)
0.233373 + 0.972387i \(0.425024\pi\)
\(164\) 2.02855 3.51355i 0.158403 0.274362i
\(165\) 0.513866 + 0.317668i 0.0400044 + 0.0247304i
\(166\) 11.3475 0.880738
\(167\) 1.83762 3.18285i 0.142199 0.246297i −0.786125 0.618067i \(-0.787916\pi\)
0.928325 + 0.371771i \(0.121249\pi\)
\(168\) −10.4150 6.43848i −0.803534 0.496739i
\(169\) −1.74276 3.01856i −0.134059 0.232197i
\(170\) −0.175370 −0.0134502
\(171\) −10.2923 + 8.06653i −0.787070 + 0.616863i
\(172\) −7.18057 −0.547513
\(173\) −7.20716 12.4832i −0.547950 0.949077i −0.998415 0.0562832i \(-0.982075\pi\)
0.450465 0.892794i \(-0.351258\pi\)
\(174\) 16.9714 9.12894i 1.28660 0.692063i
\(175\) −9.22038 + 15.9702i −0.696995 + 1.20723i
\(176\) −19.7025 −1.48513
\(177\) 0.0527322 1.75189i 0.00396359 0.131680i
\(178\) −7.48117 + 12.9578i −0.560738 + 0.971226i
\(179\) −22.3972 −1.67405 −0.837023 0.547168i \(-0.815706\pi\)
−0.837023 + 0.547168i \(0.815706\pi\)
\(180\) 0.126969 0.192206i 0.00946369 0.0143262i
\(181\) 9.03198 + 15.6438i 0.671341 + 1.16280i 0.977524 + 0.210825i \(0.0676149\pi\)
−0.306182 + 0.951973i \(0.599052\pi\)
\(182\) −12.7051 + 22.0059i −0.941767 + 1.63119i
\(183\) 0.167818 5.57533i 0.0124055 0.412140i
\(184\) −3.66689 + 6.35124i −0.270327 + 0.468219i
\(185\) −0.607251 −0.0446460
\(186\) −20.6997 12.7964i −1.51778 0.938280i
\(187\) −2.31958 4.01764i −0.169625 0.293799i
\(188\) −1.93127 + 3.34505i −0.140852 + 0.243963i
\(189\) 15.6897 + 11.0565i 1.14126 + 0.804242i
\(190\) 0.617947 + 0.206335i 0.0448306 + 0.0149691i
\(191\) 2.81287 4.87204i 0.203532 0.352528i −0.746132 0.665798i \(-0.768091\pi\)
0.949664 + 0.313270i \(0.101424\pi\)
\(192\) 0.111900 3.71759i 0.00807567 0.268294i
\(193\) −7.70392 −0.554540 −0.277270 0.960792i \(-0.589430\pi\)
−0.277270 + 0.960792i \(0.589430\pi\)
\(194\) 1.51622 2.62617i 0.108858 0.188548i
\(195\) 0.527701 + 0.326221i 0.0377894 + 0.0233612i
\(196\) 5.78382 0.413130
\(197\) 14.7969 1.05424 0.527119 0.849792i \(-0.323272\pi\)
0.527119 + 0.849792i \(0.323272\pi\)
\(198\) 20.0595 + 1.20868i 1.42556 + 0.0858971i
\(199\) 7.47940 + 12.9547i 0.530201 + 0.918335i 0.999379 + 0.0352314i \(0.0112168\pi\)
−0.469178 + 0.883103i \(0.655450\pi\)
\(200\) −9.55401 −0.675571
\(201\) −4.27685 2.64392i −0.301665 0.186488i
\(202\) −6.67815 11.5669i −0.469873 0.813843i
\(203\) 12.1290 21.0080i 0.851286 1.47447i
\(204\) −1.55786 + 0.837977i −0.109072 + 0.0586702i
\(205\) −0.411193 −0.0287190
\(206\) 0.0896390 0.155259i 0.00624544 0.0108174i
\(207\) 6.33654 9.59230i 0.440420 0.666711i
\(208\) −20.2330 −1.40291
\(209\) 3.44643 + 16.8860i 0.238395 + 1.16803i
\(210\) 0.0287703 0.955822i 0.00198534 0.0659580i
\(211\) −5.75054 −0.395883 −0.197942 0.980214i \(-0.563426\pi\)
−0.197942 + 0.980214i \(0.563426\pi\)
\(212\) 6.30890 0.433297
\(213\) 12.8654 + 7.95332i 0.881525 + 0.544953i
\(214\) −9.72592 16.8458i −0.664850 1.15155i
\(215\) 0.363881 + 0.630260i 0.0248165 + 0.0429834i
\(216\) −0.896483 + 9.90381i −0.0609980 + 0.673869i
\(217\) −30.6335 −2.07954
\(218\) 32.2794 2.18624
\(219\) −10.1287 6.26147i −0.684431 0.423111i
\(220\) −0.151797 0.262920i −0.0102342 0.0177261i
\(221\) −2.38204 4.12581i −0.160233 0.277532i
\(222\) −17.7894 + 9.56898i −1.19395 + 0.642228i
\(223\) 0.710622 + 1.23083i 0.0475868 + 0.0824227i 0.888838 0.458222i \(-0.151514\pi\)
−0.841251 + 0.540645i \(0.818180\pi\)
\(224\) 8.52392 + 14.7639i 0.569529 + 0.986453i
\(225\) 14.9495 + 0.900781i 0.996636 + 0.0600521i
\(226\) 17.6663 30.5990i 1.17515 2.03541i
\(227\) 13.0339 22.5754i 0.865090 1.49838i −0.00186784 0.999998i \(-0.500595\pi\)
0.866958 0.498382i \(-0.166072\pi\)
\(228\) 6.47535 1.11983i 0.428840 0.0741625i
\(229\) −7.69901 13.3351i −0.508765 0.881207i −0.999948 0.0101508i \(-0.996769\pi\)
0.491183 0.871056i \(-0.336564\pi\)
\(230\) −0.572747 −0.0377658
\(231\) 22.2780 11.9834i 1.46578 0.788448i
\(232\) 12.5678 0.825118
\(233\) 2.91634 5.05126i 0.191056 0.330919i −0.754544 0.656249i \(-0.772142\pi\)
0.945600 + 0.325330i \(0.105475\pi\)
\(234\) 20.5996 + 1.24122i 1.34664 + 0.0811412i
\(235\) 0.391474 0.0255370
\(236\) −0.440391 + 0.762780i −0.0286670 + 0.0496528i
\(237\) 8.09990 4.35695i 0.526145 0.283015i
\(238\) −3.67159 + 6.35939i −0.237994 + 0.412218i
\(239\) 13.6975 + 23.7248i 0.886020 + 1.53463i 0.844540 + 0.535493i \(0.179874\pi\)
0.0414809 + 0.999139i \(0.486792\pi\)
\(240\) 0.670566 0.360699i 0.0432848 0.0232830i
\(241\) 2.22615 0.143399 0.0716994 0.997426i \(-0.477158\pi\)
0.0716994 + 0.997426i \(0.477158\pi\)
\(242\) 3.92419 6.79690i 0.252257 0.436921i
\(243\) 2.33652 15.4124i 0.149888 0.988703i
\(244\) −1.40153 + 2.42752i −0.0897236 + 0.155406i
\(245\) −0.293099 0.507663i −0.0187254 0.0324334i
\(246\) −12.0459 + 6.47952i −0.768019 + 0.413119i
\(247\) 3.53923 + 17.3407i 0.225196 + 1.10336i
\(248\) −7.93548 13.7447i −0.503904 0.872787i
\(249\) −9.86755 6.10006i −0.625331 0.386575i
\(250\) −0.746723 1.29336i −0.0472269 0.0817994i
\(251\) 1.28824 + 2.23129i 0.0813128 + 0.140838i 0.903814 0.427925i \(-0.140755\pi\)
−0.822501 + 0.568763i \(0.807422\pi\)
\(252\) −4.31167 8.62833i −0.271610 0.543534i
\(253\) −7.57563 13.1214i −0.476276 0.824933i
\(254\) 1.45084 2.51293i 0.0910340 0.157676i
\(255\) 0.152498 + 0.0942731i 0.00954978 + 0.00590361i
\(256\) −8.75362 + 15.1617i −0.547101 + 0.947607i
\(257\) −5.43354 + 9.41117i −0.338935 + 0.587053i −0.984233 0.176879i \(-0.943400\pi\)
0.645298 + 0.763931i \(0.276733\pi\)
\(258\) 20.5915 + 12.7295i 1.28197 + 0.792504i
\(259\) −12.7136 + 22.0206i −0.789984 + 1.36829i
\(260\) −0.155884 0.269999i −0.00966752 0.0167446i
\(261\) −19.6654 1.18493i −1.21726 0.0733455i
\(262\) 10.6016 + 18.3624i 0.654966 + 1.13443i
\(263\) 9.38673 + 16.2583i 0.578810 + 1.00253i 0.995616 + 0.0935334i \(0.0298162\pi\)
−0.416806 + 0.908996i \(0.636850\pi\)
\(264\) 11.1477 + 6.89145i 0.686095 + 0.424140i
\(265\) −0.319709 0.553752i −0.0196396 0.0340167i
\(266\) 20.4198 18.0886i 1.25202 1.10908i
\(267\) 13.4712 7.24616i 0.824421 0.443458i
\(268\) 1.26339 + 2.18826i 0.0771738 + 0.133669i
\(269\) −1.78002 + 3.08308i −0.108529 + 0.187979i −0.915175 0.403057i \(-0.867948\pi\)
0.806645 + 0.591036i \(0.201281\pi\)
\(270\) −0.704842 + 0.326097i −0.0428953 + 0.0198456i
\(271\) −8.62661 + 14.9417i −0.524029 + 0.907645i 0.475579 + 0.879673i \(0.342238\pi\)
−0.999609 + 0.0279725i \(0.991095\pi\)
\(272\) −5.84704 −0.354529
\(273\) 22.8778 12.3060i 1.38463 0.744794i
\(274\) −18.1274 31.3976i −1.09512 1.89680i
\(275\) 9.86908 17.0937i 0.595128 1.03079i
\(276\) −5.08788 + 2.73679i −0.306255 + 0.164735i
\(277\) −6.79331 + 11.7664i −0.408171 + 0.706972i −0.994685 0.102967i \(-0.967167\pi\)
0.586514 + 0.809939i \(0.300500\pi\)
\(278\) 28.8063 1.72769
\(279\) 11.1211 + 22.2550i 0.665802 + 1.33237i
\(280\) 0.311819 0.540087i 0.0186348 0.0322764i
\(281\) −18.1229 −1.08112 −0.540561 0.841305i \(-0.681788\pi\)
−0.540561 + 0.841305i \(0.681788\pi\)
\(282\) 11.4682 6.16879i 0.682924 0.367346i
\(283\) −4.35791 −0.259051 −0.129525 0.991576i \(-0.541345\pi\)
−0.129525 + 0.991576i \(0.541345\pi\)
\(284\) −3.80048 6.58262i −0.225517 0.390607i
\(285\) −0.426434 0.511613i −0.0252598 0.0303053i
\(286\) 13.5990 23.5541i 0.804125 1.39279i
\(287\) −8.60886 + 14.9110i −0.508165 + 0.880168i
\(288\) 7.63134 11.5524i 0.449681 0.680731i
\(289\) 7.81163 + 13.5301i 0.459507 + 0.795890i
\(290\) 0.490756 + 0.850014i 0.0288182 + 0.0499145i
\(291\) −2.73022 + 1.46859i −0.160048 + 0.0860904i
\(292\) 2.99203 + 5.18234i 0.175095 + 0.303274i
\(293\) 11.3314 + 19.6265i 0.661986 + 1.14659i 0.980093 + 0.198538i \(0.0636193\pi\)
−0.318108 + 0.948055i \(0.603047\pi\)
\(294\) −16.5860 10.2534i −0.967318 0.597989i
\(295\) 0.0892687 0.00519743
\(296\) −13.1736 −0.765701
\(297\) −16.7935 11.8344i −0.974460 0.686700i
\(298\) −0.656252 1.13666i −0.0380157 0.0658450i
\(299\) −7.77959 13.4746i −0.449905 0.779259i
\(300\) −6.40176 3.95753i −0.369606 0.228488i
\(301\) 30.4733 1.75645
\(302\) 2.70559 0.155689
\(303\) −0.410814 + 13.6483i −0.0236007 + 0.784073i
\(304\) 20.6031 + 6.87946i 1.18167 + 0.394564i
\(305\) 0.284094 0.0162672
\(306\) 5.95297 + 0.358695i 0.340308 + 0.0205052i
\(307\) −6.03741 + 10.4571i −0.344573 + 0.596819i −0.985276 0.170970i \(-0.945310\pi\)
0.640703 + 0.767789i \(0.278643\pi\)
\(308\) −12.7123 −0.724349
\(309\) −0.161411 + 0.0868231i −0.00918232 + 0.00493919i
\(310\) 0.619739 1.07342i 0.0351988 0.0609661i
\(311\) −4.12927 7.15210i −0.234149 0.405559i 0.724876 0.688880i \(-0.241897\pi\)
−0.959025 + 0.283321i \(0.908564\pi\)
\(312\) 11.4479 + 7.07700i 0.648108 + 0.400656i
\(313\) −24.7032 −1.39631 −0.698155 0.715947i \(-0.745995\pi\)
−0.698155 + 0.715947i \(0.745995\pi\)
\(314\) 13.4619 + 23.3168i 0.759701 + 1.31584i
\(315\) −0.538837 + 0.815696i −0.0303600 + 0.0459593i
\(316\) −4.62197 −0.260006
\(317\) −19.0751 −1.07136 −0.535681 0.844420i \(-0.679945\pi\)
−0.535681 + 0.844420i \(0.679945\pi\)
\(318\) −18.0918 11.1842i −1.01454 0.627181i
\(319\) −12.9823 + 22.4860i −0.726868 + 1.25897i
\(320\) 0.189432 0.0105896
\(321\) −0.598302 + 19.8771i −0.0333939 + 1.10943i
\(322\) −11.9912 + 20.7694i −0.668244 + 1.15743i
\(323\) 1.02278 + 5.01120i 0.0569092 + 0.278830i
\(324\) −4.70312 + 6.26479i −0.261284 + 0.348044i
\(325\) 10.1348 17.5540i 0.562177 0.973720i
\(326\) 5.04797 + 8.74334i 0.279581 + 0.484249i
\(327\) −28.0695 17.3524i −1.55225 0.959588i
\(328\) −8.92036 −0.492545
\(329\) 8.19602 14.1959i 0.451861 0.782647i
\(330\) −0.0307945 + 1.02307i −0.00169518 + 0.0563181i
\(331\) 13.8654 24.0156i 0.762113 1.32002i −0.179646 0.983731i \(-0.557495\pi\)
0.941759 0.336288i \(-0.109171\pi\)
\(332\) 2.91490 + 5.04875i 0.159976 + 0.277086i
\(333\) 20.6133 + 1.24205i 1.12960 + 0.0680639i
\(334\) 6.22670 0.340710
\(335\) 0.128047 0.221783i 0.00699593 0.0121173i
\(336\) 0.959238 31.8683i 0.0523307 1.73856i
\(337\) −34.0121 −1.85276 −0.926379 0.376591i \(-0.877096\pi\)
−0.926379 + 0.376591i \(0.877096\pi\)
\(338\) 2.95264 5.11413i 0.160603 0.278172i
\(339\) −31.8113 + 17.1114i −1.72775 + 0.929362i
\(340\) −0.0450482 0.0780257i −0.00244308 0.00423154i
\(341\) 32.7887 1.77561
\(342\) −20.5543 8.26802i −1.11145 0.447083i
\(343\) 1.31164 0.0708217
\(344\) 7.89398 + 13.6728i 0.425615 + 0.737187i
\(345\) 0.498049 + 0.307890i 0.0268140 + 0.0165763i
\(346\) 12.2106 21.1493i 0.656445 1.13700i
\(347\) −8.51227 −0.456962 −0.228481 0.973548i \(-0.573376\pi\)
−0.228481 + 0.973548i \(0.573376\pi\)
\(348\) 8.42119 + 5.20593i 0.451423 + 0.279067i
\(349\) −9.42349 + 16.3220i −0.504428 + 0.873695i 0.495559 + 0.868574i \(0.334963\pi\)
−0.999987 + 0.00512042i \(0.998370\pi\)
\(350\) −31.2429 −1.67000
\(351\) −17.2457 12.1530i −0.920507 0.648679i
\(352\) −9.12362 15.8026i −0.486291 0.842280i
\(353\) −8.62239 + 14.9344i −0.458923 + 0.794878i −0.998904 0.0467987i \(-0.985098\pi\)
0.539981 + 0.841677i \(0.318431\pi\)
\(354\) 2.61513 1.40668i 0.138993 0.0747644i
\(355\) −0.385184 + 0.667159i −0.0204435 + 0.0354091i
\(356\) −7.68692 −0.407406
\(357\) 6.61134 3.55626i 0.349909 0.188217i
\(358\) −18.9730 32.8622i −1.00275 1.73682i
\(359\) 0.140779 0.243836i 0.00743003 0.0128692i −0.862286 0.506421i \(-0.830968\pi\)
0.869717 + 0.493552i \(0.164302\pi\)
\(360\) −0.505571 0.0304631i −0.0266459 0.00160554i
\(361\) 2.29207 18.8612i 0.120635 0.992697i
\(362\) −15.3022 + 26.5042i −0.804268 + 1.39303i
\(363\) −7.06619 + 3.80092i −0.370879 + 0.199497i
\(364\) −13.0545 −0.684244
\(365\) 0.303247 0.525239i 0.0158727 0.0274922i
\(366\) 8.32254 4.47671i 0.435026 0.234002i
\(367\) 17.3938 0.907947 0.453974 0.891015i \(-0.350006\pi\)
0.453974 + 0.891015i \(0.350006\pi\)
\(368\) −19.0961 −0.995452
\(369\) 13.9580 + 0.841039i 0.726627 + 0.0437827i
\(370\) −0.514411 0.890986i −0.0267430 0.0463202i
\(371\) −26.7741 −1.39004
\(372\) 0.376156 12.4968i 0.0195028 0.647931i
\(373\) 10.7006 + 18.5340i 0.554056 + 0.959654i 0.997976 + 0.0635874i \(0.0202542\pi\)
−0.443920 + 0.896066i \(0.646413\pi\)
\(374\) 3.92991 6.80680i 0.203211 0.351971i
\(375\) −0.0459356 + 1.52609i −0.00237210 + 0.0788072i
\(376\) 8.49258 0.437972
\(377\) −13.3318 + 23.0914i −0.686624 + 1.18927i
\(378\) −2.93162 + 32.3868i −0.150786 + 1.66580i
\(379\) 21.3755 1.09798 0.548992 0.835827i \(-0.315012\pi\)
0.548992 + 0.835827i \(0.315012\pi\)
\(380\) 0.0669325 + 0.327940i 0.00343357 + 0.0168230i
\(381\) −2.61249 + 1.40527i −0.133842 + 0.0719940i
\(382\) 9.53130 0.487664
\(383\) 22.0748 1.12797 0.563986 0.825785i \(-0.309267\pi\)
0.563986 + 0.825785i \(0.309267\pi\)
\(384\) 19.6290 10.5585i 1.00169 0.538811i
\(385\) 0.644205 + 1.11580i 0.0328317 + 0.0568662i
\(386\) −6.52610 11.3035i −0.332170 0.575335i
\(387\) −11.0629 22.1386i −0.562360 1.12537i
\(388\) 1.55792 0.0790914
\(389\) 31.4101 1.59256 0.796278 0.604931i \(-0.206799\pi\)
0.796278 + 0.604931i \(0.206799\pi\)
\(390\) −0.0316236 + 1.05061i −0.00160132 + 0.0531999i
\(391\) −2.24819 3.89397i −0.113696 0.196927i
\(392\) −6.35846 11.0132i −0.321151 0.556249i
\(393\) 0.652167 21.6666i 0.0328975 1.09294i
\(394\) 12.5347 + 21.7107i 0.631489 + 1.09377i
\(395\) 0.234222 + 0.405685i 0.0117850 + 0.0204122i
\(396\) 4.61502 + 9.23537i 0.231914 + 0.464095i
\(397\) −6.11785 + 10.5964i −0.307046 + 0.531819i −0.977715 0.209938i \(-0.932674\pi\)
0.670669 + 0.741757i \(0.266007\pi\)
\(398\) −12.6718 + 21.9482i −0.635181 + 1.10017i
\(399\) −27.4804 + 4.75239i −1.37574 + 0.237917i
\(400\) −12.4386 21.5443i −0.621931 1.07722i
\(401\) −10.8610 −0.542373 −0.271187 0.962527i \(-0.587416\pi\)
−0.271187 + 0.962527i \(0.587416\pi\)
\(402\) 0.256299 8.51488i 0.0127830 0.424684i
\(403\) 33.6715 1.67730
\(404\) 3.43090 5.94250i 0.170694 0.295650i
\(405\) 0.788214 + 0.0953335i 0.0391667 + 0.00473716i
\(406\) 41.0985 2.03968
\(407\) 13.6081 23.5698i 0.674526 1.16831i
\(408\) 3.30826 + 2.04515i 0.163783 + 0.101250i
\(409\) −1.09166 + 1.89081i −0.0539791 + 0.0934946i −0.891752 0.452524i \(-0.850524\pi\)
0.837773 + 0.546018i \(0.183857\pi\)
\(410\) −0.348328 0.603321i −0.0172027 0.0297959i
\(411\) −1.11513 + 37.0474i −0.0550054 + 1.82742i
\(412\) 0.0921042 0.00453765
\(413\) 1.86896 3.23713i 0.0919654 0.159289i
\(414\) 19.4420 + 1.17148i 0.955524 + 0.0575749i
\(415\) 0.295430 0.511699i 0.0145021 0.0251183i
\(416\) −9.36927 16.2280i −0.459366 0.795645i
\(417\) −25.0494 15.4854i −1.22667 0.758321i
\(418\) −21.8564 + 19.3612i −1.06903 + 0.946986i
\(419\) 2.47165 + 4.28102i 0.120748 + 0.209142i 0.920063 0.391771i \(-0.128137\pi\)
−0.799315 + 0.600912i \(0.794804\pi\)
\(420\) 0.432656 0.232727i 0.0211115 0.0113559i
\(421\) 9.30392 + 16.1149i 0.453445 + 0.785390i 0.998597 0.0529469i \(-0.0168614\pi\)
−0.545152 + 0.838337i \(0.683528\pi\)
\(422\) −4.87136 8.43745i −0.237134 0.410729i
\(423\) −13.2887 0.800707i −0.646118 0.0389317i
\(424\) −6.93572 12.0130i −0.336828 0.583404i
\(425\) 2.92881 5.07284i 0.142068 0.246069i
\(426\) −0.770987 + 25.6141i −0.0373545 + 1.24101i
\(427\) 5.94788 10.3020i 0.287838 0.498550i
\(428\) 4.99670 8.65454i 0.241525 0.418333i
\(429\) −24.4873 + 13.1718i −1.18226 + 0.635940i
\(430\) −0.616498 + 1.06781i −0.0297302 + 0.0514941i
\(431\) 1.66939 + 2.89147i 0.0804119 + 0.139277i 0.903427 0.428742i \(-0.141043\pi\)
−0.823015 + 0.568020i \(0.807710\pi\)
\(432\) −23.5003 + 10.8725i −1.13066 + 0.523102i
\(433\) −13.5412 23.4541i −0.650751 1.12713i −0.982941 0.183921i \(-0.941121\pi\)
0.332190 0.943212i \(-0.392212\pi\)
\(434\) −25.9501 44.9469i −1.24564 2.15752i
\(435\) 0.0301895 1.00297i 0.00144747 0.0480887i
\(436\) 8.29178 + 14.3618i 0.397104 + 0.687805i
\(437\) 3.34035 + 16.3663i 0.159791 + 0.782905i
\(438\) 0.606980 20.1654i 0.0290026 0.963540i
\(439\) 1.20427 + 2.08586i 0.0574768 + 0.0995528i 0.893332 0.449397i \(-0.148361\pi\)
−0.835855 + 0.548950i \(0.815028\pi\)
\(440\) −0.333757 + 0.578085i −0.0159113 + 0.0275591i
\(441\) 8.91098 + 17.8322i 0.424332 + 0.849155i
\(442\) 4.03572 6.99006i 0.191959 0.332483i
\(443\) −18.5968 −0.883561 −0.441780 0.897123i \(-0.645653\pi\)
−0.441780 + 0.897123i \(0.645653\pi\)
\(444\) −8.82711 5.45686i −0.418916 0.258971i
\(445\) 0.389541 + 0.674705i 0.0184660 + 0.0319841i
\(446\) −1.20396 + 2.08531i −0.0570090 + 0.0987425i
\(447\) −0.0403701 + 1.34120i −0.00190944 + 0.0634364i
\(448\) 3.96600 6.86932i 0.187376 0.324545i
\(449\) 6.17146 0.291249 0.145625 0.989340i \(-0.453481\pi\)
0.145625 + 0.989340i \(0.453481\pi\)
\(450\) 11.3423 + 22.6977i 0.534681 + 1.06998i
\(451\) 9.21453 15.9600i 0.433895 0.751529i
\(452\) 18.1522 0.853807
\(453\) −2.35272 1.45444i −0.110540 0.0683354i
\(454\) 44.1648 2.07276
\(455\) 0.661549 + 1.14584i 0.0310139 + 0.0537177i
\(456\) −9.25100 11.0989i −0.433218 0.519752i
\(457\) −7.28965 + 12.6260i −0.340995 + 0.590621i −0.984618 0.174722i \(-0.944097\pi\)
0.643622 + 0.765343i \(0.277431\pi\)
\(458\) 13.0439 22.5927i 0.609501 1.05569i
\(459\) −4.98375 3.51204i −0.232621 0.163928i
\(460\) −0.147125 0.254827i −0.00685972 0.0118814i
\(461\) −8.15747 14.1292i −0.379931 0.658060i 0.611121 0.791538i \(-0.290719\pi\)
−0.991052 + 0.133477i \(0.957386\pi\)
\(462\) 36.4545 + 22.5360i 1.69602 + 1.04847i
\(463\) −4.34688 7.52901i −0.202017 0.349903i 0.747162 0.664643i \(-0.231416\pi\)
−0.949178 + 0.314740i \(0.898083\pi\)
\(464\) 16.3624 + 28.3405i 0.759605 + 1.31567i
\(465\) −1.11595 + 0.600271i −0.0517508 + 0.0278369i
\(466\) 9.88191 0.457771
\(467\) 34.0672 1.57644 0.788221 0.615392i \(-0.211002\pi\)
0.788221 + 0.615392i \(0.211002\pi\)
\(468\) 4.73928 + 9.48402i 0.219073 + 0.438399i
\(469\) −5.36165 9.28664i −0.247578 0.428817i
\(470\) 0.331623 + 0.574389i 0.0152966 + 0.0264946i
\(471\) 0.828128 27.5125i 0.0381581 1.26771i
\(472\) 1.93658 0.0891385
\(473\) −32.6172 −1.49974
\(474\) 13.2543 + 8.19370i 0.608788 + 0.376349i
\(475\) −16.2887 + 14.4291i −0.747379 + 0.662053i
\(476\) −3.77257 −0.172915
\(477\) 9.71997 + 19.4512i 0.445047 + 0.890607i
\(478\) −23.2068 + 40.1953i −1.06145 + 1.83849i
\(479\) −0.0213142 −0.000973871 −0.000486935 1.00000i \(-0.500155\pi\)
−0.000486935 1.00000i \(0.500155\pi\)
\(480\) 0.599819 + 0.370804i 0.0273779 + 0.0169248i
\(481\) 13.9744 24.2044i 0.637179 1.10363i
\(482\) 1.88580 + 3.26631i 0.0858960 + 0.148776i
\(483\) 21.5923 11.6145i 0.982481 0.528479i
\(484\) 4.03212 0.183278
\(485\) −0.0789489 0.136743i −0.00358488 0.00620920i
\(486\) 24.5930 9.62778i 1.11556 0.436725i
\(487\) 26.2262 1.18842 0.594212 0.804309i \(-0.297464\pi\)
0.594212 + 0.804309i \(0.297464\pi\)
\(488\) 6.16310 0.278990
\(489\) 0.310532 10.3166i 0.0140427 0.466535i
\(490\) 0.496578 0.860098i 0.0224331 0.0388553i
\(491\) −21.7791 −0.982877 −0.491439 0.870912i \(-0.663529\pi\)
−0.491439 + 0.870912i \(0.663529\pi\)
\(492\) −5.97718 3.69505i −0.269472 0.166586i
\(493\) −3.85270 + 6.67307i −0.173517 + 0.300540i
\(494\) −22.4449 + 19.8824i −1.00984 + 0.894554i
\(495\) 0.576747 0.873084i 0.0259228 0.0392422i
\(496\) 20.6628 35.7891i 0.927789 1.60698i
\(497\) 16.1287 + 27.9357i 0.723470 + 1.25309i
\(498\) 0.591334 19.6456i 0.0264983 0.880339i
\(499\) 25.3550 1.13505 0.567523 0.823358i \(-0.307902\pi\)
0.567523 + 0.823358i \(0.307902\pi\)
\(500\) 0.383630 0.664466i 0.0171564 0.0297158i
\(501\) −5.41461 3.34728i −0.241907 0.149545i
\(502\) −2.18257 + 3.78032i −0.0974129 + 0.168724i
\(503\) −16.2481 28.1425i −0.724465 1.25481i −0.959194 0.282749i \(-0.908754\pi\)
0.234729 0.972061i \(-0.424580\pi\)
\(504\) −11.6895 + 17.6956i −0.520690 + 0.788225i
\(505\) −0.695455 −0.0309474
\(506\) 12.8348 22.2306i 0.570578 0.988271i
\(507\) −5.31675 + 2.85989i −0.236125 + 0.127012i
\(508\) 1.49074 0.0661411
\(509\) −2.23483 + 3.87085i −0.0990573 + 0.171572i −0.911295 0.411755i \(-0.864916\pi\)
0.812237 + 0.583327i \(0.198249\pi\)
\(510\) −0.00913874 + 0.303612i −0.000404670 + 0.0134442i
\(511\) −12.6977 21.9931i −0.561715 0.972918i
\(512\) −3.92462 −0.173446
\(513\) 13.4290 + 18.2390i 0.592904 + 0.805273i
\(514\) −18.4113 −0.812089
\(515\) −0.00466746 0.00808427i −0.000205673 0.000356236i
\(516\) −0.374189 + 12.4315i −0.0164727 + 0.547265i
\(517\) −8.77265 + 15.1947i −0.385821 + 0.668261i
\(518\) −43.0795 −1.89280
\(519\) −21.9873 + 11.8270i −0.965134 + 0.519148i
\(520\) −0.342743 + 0.593649i −0.0150303 + 0.0260332i
\(521\) 5.89784 0.258389 0.129195 0.991619i \(-0.458761\pi\)
0.129195 + 0.991619i \(0.458761\pi\)
\(522\) −14.9202 29.8577i −0.653041 1.30684i
\(523\) −15.8110 27.3855i −0.691367 1.19748i −0.971390 0.237490i \(-0.923675\pi\)
0.280023 0.959993i \(-0.409658\pi\)
\(524\) −5.44656 + 9.43371i −0.237934 + 0.412114i
\(525\) 27.1681 + 16.7952i 1.18571 + 0.733001i
\(526\) −15.9033 + 27.5453i −0.693415 + 1.20103i
\(527\) 9.73057 0.423870
\(528\) −1.02672 + 34.1103i −0.0446825 + 1.48446i
\(529\) 4.15755 + 7.20110i 0.180763 + 0.313091i
\(530\) 0.541660 0.938182i 0.0235282 0.0407520i
\(531\) −3.03025 0.182587i −0.131502 0.00792360i
\(532\) 13.2933 + 4.43870i 0.576339 + 0.192442i
\(533\) 9.46263 16.3898i 0.409872 0.709919i
\(534\) 22.0435 + 13.6272i 0.953916 + 0.589705i
\(535\) −1.01285 −0.0437892
\(536\) 2.77783 4.81133i 0.119984 0.207818i
\(537\) −1.16715 + 38.7755i −0.0503661 + 1.67329i
\(538\) −6.03151 −0.260037
\(539\) 26.2726 1.13164
\(540\) −0.326144 0.229833i −0.0140350 0.00989043i
\(541\) 11.5933 + 20.0802i 0.498435 + 0.863314i 0.999998 0.00180639i \(-0.000574993\pi\)
−0.501564 + 0.865121i \(0.667242\pi\)
\(542\) −29.2309 −1.25557
\(543\) 27.5543 14.8215i 1.18247 0.636053i
\(544\) −2.70758 4.68966i −0.116086 0.201068i
\(545\) 0.840386 1.45559i 0.0359982 0.0623507i
\(546\) 37.4360 + 23.1427i 1.60211 + 0.990417i
\(547\) −18.8998 −0.808095 −0.404048 0.914738i \(-0.632397\pi\)
−0.404048 + 0.914738i \(0.632397\pi\)
\(548\) 9.31299 16.1306i 0.397831 0.689064i
\(549\) −9.64364 0.581076i −0.411581 0.0247997i
\(550\) 33.4410 1.42593
\(551\) 21.4270 18.9808i 0.912822 0.808609i
\(552\) 10.8046 + 6.67933i 0.459874 + 0.284291i
\(553\) 19.6150 0.834114
\(554\) −23.0189 −0.977978
\(555\) −0.0316446 + 1.05131i −0.00134324 + 0.0446258i
\(556\) 7.39964 + 12.8166i 0.313815 + 0.543543i
\(557\) 14.5839 + 25.2601i 0.617941 + 1.07031i 0.989861 + 0.142041i \(0.0453664\pi\)
−0.371920 + 0.928265i \(0.621300\pi\)
\(558\) −23.2327 + 35.1699i −0.983519 + 1.48886i
\(559\) −33.4954 −1.41671
\(560\) 1.62386 0.0686208
\(561\) −7.07648 + 3.80645i −0.298769 + 0.160709i
\(562\) −15.3522 26.5907i −0.647592 1.12166i
\(563\) 7.67754 + 13.2979i 0.323570 + 0.560440i 0.981222 0.192882i \(-0.0617836\pi\)
−0.657652 + 0.753322i \(0.728450\pi\)
\(564\) 5.69054 + 3.51785i 0.239615 + 0.148128i
\(565\) −0.919877 1.59327i −0.0386995 0.0670295i
\(566\) −3.69165 6.39412i −0.155172 0.268765i
\(567\) 19.9594 26.5869i 0.838214 1.11654i
\(568\) −8.35614 + 14.4733i −0.350616 + 0.607284i
\(569\) 5.99243 10.3792i 0.251216 0.435119i −0.712645 0.701525i \(-0.752503\pi\)
0.963861 + 0.266406i \(0.0858363\pi\)
\(570\) 0.389423 1.05908i 0.0163111 0.0443599i
\(571\) 19.3857 + 33.5770i 0.811266 + 1.40515i 0.911979 + 0.410238i \(0.134554\pi\)
−0.100713 + 0.994916i \(0.532112\pi\)
\(572\) 13.9730 0.584240
\(573\) −8.28821 5.12372i −0.346245 0.214046i
\(574\) −29.1708 −1.21756
\(575\) 9.56531 16.5676i 0.398901 0.690917i
\(576\) −6.43031 0.387457i −0.267930 0.0161440i
\(577\) −31.4108 −1.30765 −0.653824 0.756646i \(-0.726836\pi\)
−0.653824 + 0.756646i \(0.726836\pi\)
\(578\) −13.2347 + 22.9231i −0.550490 + 0.953477i
\(579\) −0.401461 + 13.3375i −0.0166842 + 0.554289i
\(580\) −0.252126 + 0.436696i −0.0104690 + 0.0181328i
\(581\) −12.3704 21.4262i −0.513211 0.888908i
\(582\) −4.46759 2.76184i −0.185188 0.114482i
\(583\) 28.6578 1.18688
\(584\) 6.57859 11.3945i 0.272224 0.471506i
\(585\) 0.592275 0.896591i 0.0244876 0.0370695i
\(586\) −19.1979 + 33.2518i −0.793059 + 1.37362i
\(587\) −22.8980 39.6604i −0.945100 1.63696i −0.755551 0.655089i \(-0.772631\pi\)
−0.189548 0.981871i \(-0.560702\pi\)
\(588\) 0.301402 10.0133i 0.0124296 0.412943i
\(589\) −34.2874 11.4487i −1.41279 0.471736i
\(590\) 0.0756208 + 0.130979i 0.00311326 + 0.00539232i
\(591\) 0.771087 25.6174i 0.0317183 1.05376i
\(592\) −17.1511 29.7066i −0.704906 1.22093i
\(593\) −1.17751 2.03951i −0.0483547 0.0837528i 0.840835 0.541292i \(-0.182064\pi\)
−0.889190 + 0.457539i \(0.848731\pi\)
\(594\) 3.13787 34.6653i 0.128748 1.42234i
\(595\) 0.191178 + 0.331130i 0.00783753 + 0.0135750i
\(596\) 0.337150 0.583961i 0.0138102 0.0239200i
\(597\) 22.8178 12.2738i 0.933871 0.502331i
\(598\) 13.1804 22.8291i 0.538987 0.933553i
\(599\) 17.5448 30.3884i 0.716859 1.24164i −0.245378 0.969427i \(-0.578912\pi\)
0.962238 0.272210i \(-0.0877544\pi\)
\(600\) −0.497872 + 16.5405i −0.0203255 + 0.675265i
\(601\) 1.65448 2.86564i 0.0674875 0.116892i −0.830307 0.557306i \(-0.811835\pi\)
0.897795 + 0.440414i \(0.145168\pi\)
\(602\) 25.8144 + 44.7118i 1.05212 + 1.82232i
\(603\) −4.80020 + 7.26658i −0.195479 + 0.295918i
\(604\) 0.694999 + 1.20377i 0.0282791 + 0.0489809i
\(605\) −0.204331 0.353911i −0.00830722 0.0143885i
\(606\) −20.3734 + 10.9589i −0.827612 + 0.445174i
\(607\) −12.1685 21.0764i −0.493904 0.855466i 0.506072 0.862491i \(-0.331097\pi\)
−0.999975 + 0.00702538i \(0.997764\pi\)
\(608\) 4.02292 + 19.7105i 0.163151 + 0.799368i
\(609\) −35.7383 22.0932i −1.44819 0.895262i
\(610\) 0.240660 + 0.416836i 0.00974405 + 0.0168772i
\(611\) −9.00884 + 15.6038i −0.364459 + 0.631261i
\(612\) 1.36958 + 2.74074i 0.0553620 + 0.110788i
\(613\) −11.9472 + 20.6931i −0.482542 + 0.835786i −0.999799 0.0200433i \(-0.993620\pi\)
0.517258 + 0.855830i \(0.326953\pi\)
\(614\) −20.4575 −0.825598
\(615\) −0.0214278 + 0.711885i −0.000864052 + 0.0287060i
\(616\) 13.9753 + 24.2059i 0.563080 + 0.975284i
\(617\) 7.62820 13.2124i 0.307100 0.531912i −0.670627 0.741795i \(-0.733975\pi\)
0.977727 + 0.209883i \(0.0673082\pi\)
\(618\) −0.264124 0.163280i −0.0106246 0.00656807i
\(619\) 0.911408 1.57860i 0.0366326 0.0634495i −0.847128 0.531389i \(-0.821670\pi\)
0.883760 + 0.467940i \(0.155004\pi\)
\(620\) 0.636783 0.0255738
\(621\) −16.2766 11.4701i −0.653159 0.460279i
\(622\) 6.99593 12.1173i 0.280511 0.485860i
\(623\) 32.6222 1.30698
\(624\) −1.05437 + 35.0287i −0.0422085 + 1.40227i
\(625\) 24.8833 0.995333
\(626\) −20.9265 36.2457i −0.836390 1.44867i
\(627\) 29.4138 5.08674i 1.17468 0.203145i
\(628\) −6.91608 + 11.9790i −0.275982 + 0.478015i
\(629\) 4.03840 6.99472i 0.161022 0.278898i
\(630\) −1.65328 0.0996182i −0.0658684 0.00396889i
\(631\) −15.3499 26.5868i −0.611069 1.05840i −0.991061 0.133413i \(-0.957406\pi\)
0.379992 0.924990i \(-0.375927\pi\)
\(632\) 5.08118 + 8.80086i 0.202119 + 0.350080i
\(633\) −0.299668 + 9.95571i −0.0119107 + 0.395704i
\(634\) −16.1588 27.9878i −0.641747 1.11154i
\(635\) −0.0755447 0.130847i −0.00299790 0.00519251i
\(636\) 0.328765 10.9224i 0.0130364 0.433101i
\(637\) 26.9799 1.06898
\(638\) −43.9899 −1.74158
\(639\) 14.4398 21.8590i 0.571228 0.864730i
\(640\) 0.567606 + 0.983123i 0.0224366 + 0.0388614i
\(641\) 17.9910 + 31.1613i 0.710601 + 1.23080i 0.964632 + 0.263601i \(0.0849103\pi\)
−0.254030 + 0.967196i \(0.581756\pi\)
\(642\) −29.6714 + 15.9603i −1.17104 + 0.629903i
\(643\) 34.8272 1.37345 0.686725 0.726917i \(-0.259047\pi\)
0.686725 + 0.726917i \(0.259047\pi\)
\(644\) −12.3210 −0.485515
\(645\) 1.11011 0.597131i 0.0437106 0.0235120i
\(646\) −6.48624 + 5.74573i −0.255198 + 0.226063i
\(647\) −34.1239 −1.34155 −0.670775 0.741661i \(-0.734038\pi\)
−0.670775 + 0.741661i \(0.734038\pi\)
\(648\) 17.0994 + 2.06815i 0.671728 + 0.0812447i
\(649\) −2.00045 + 3.46488i −0.0785244 + 0.136008i
\(650\) 34.3413 1.34698
\(651\) −1.59635 + 53.0348i −0.0625660 + 2.07860i
\(652\) −2.59340 + 4.49190i −0.101565 + 0.175916i
\(653\) 6.66481 + 11.5438i 0.260814 + 0.451743i 0.966458 0.256823i \(-0.0826757\pi\)
−0.705644 + 0.708566i \(0.749342\pi\)
\(654\) 1.68212 55.8842i 0.0657761 2.18525i
\(655\) 1.10403 0.0431382
\(656\) −11.6137 20.1155i −0.453437 0.785376i
\(657\) −11.3681 + 17.2091i −0.443511 + 0.671391i
\(658\) 27.7719 1.08266
\(659\) −12.0624 −0.469883 −0.234941 0.972010i \(-0.575490\pi\)
−0.234941 + 0.972010i \(0.575490\pi\)
\(660\) −0.463095 + 0.249100i −0.0180260 + 0.00969621i
\(661\) 0.422835 0.732372i 0.0164464 0.0284860i −0.857685 0.514175i \(-0.828098\pi\)
0.874131 + 0.485689i \(0.161431\pi\)
\(662\) 46.9824 1.82602
\(663\) −7.26701 + 3.90894i −0.282227 + 0.151811i
\(664\) 6.40901 11.1007i 0.248718 0.430792i
\(665\) −0.284052 1.39173i −0.0110151 0.0539690i
\(666\) 15.6394 + 31.2969i 0.606015 + 1.21273i
\(667\) −12.5827 + 21.7938i −0.487203 + 0.843861i
\(668\) 1.59949 + 2.77039i 0.0618860 + 0.107190i
\(669\) 2.16793 1.16614i 0.0838171 0.0450854i
\(670\) 0.433881 0.0167623
\(671\) −6.36634 + 11.0268i −0.245770 + 0.425686i
\(672\) 26.0044 13.9878i 1.00314 0.539592i
\(673\) 9.27675 16.0678i 0.357592 0.619368i −0.629966 0.776623i \(-0.716931\pi\)
0.987558 + 0.157255i \(0.0502644\pi\)
\(674\) −28.8122 49.9041i −1.10980 1.92224i
\(675\) 2.33853 25.8347i 0.0900102 0.994378i
\(676\) 3.03385 0.116686
\(677\) −16.1238 + 27.9273i −0.619689 + 1.07333i 0.369854 + 0.929090i \(0.379408\pi\)
−0.989542 + 0.144242i \(0.953925\pi\)
\(678\) −52.0544 32.1797i −1.99914 1.23585i
\(679\) −6.61159 −0.253730
\(680\) −0.0990477 + 0.171556i −0.00379831 + 0.00657886i
\(681\) −38.4048 23.7416i −1.47167 0.909779i
\(682\) 27.7758 + 48.1091i 1.06359 + 1.84219i
\(683\) 3.72149 0.142399 0.0711994 0.997462i \(-0.477317\pi\)
0.0711994 + 0.997462i \(0.477317\pi\)
\(684\) −1.60128 11.2689i −0.0612266 0.430878i
\(685\) −1.88777 −0.0721281
\(686\) 1.11111 + 1.92449i 0.0424223 + 0.0734775i
\(687\) −23.4878 + 12.6341i −0.896115 + 0.482022i
\(688\) −20.5548 + 35.6019i −0.783644 + 1.35731i
\(689\) 29.4293 1.12117
\(690\) −0.0298466 + 0.991578i −0.00113624 + 0.0377487i
\(691\) 3.49161 6.04764i 0.132827 0.230063i −0.791938 0.610601i \(-0.790928\pi\)
0.924765 + 0.380538i \(0.124261\pi\)
\(692\) 12.5464 0.476942
\(693\) −19.5855 39.1936i −0.743991 1.48884i
\(694\) −7.21086 12.4896i −0.273721 0.474098i
\(695\) 0.749966 1.29898i 0.0284478 0.0492731i
\(696\) 0.654926 21.7583i 0.0248249 0.824745i
\(697\) 2.73456 4.73639i 0.103579 0.179404i
\(698\) −31.9311 −1.20861
\(699\) −8.59310 5.31220i −0.325021 0.200926i
\(700\) −8.02553 13.9006i −0.303337 0.525394i
\(701\) −9.86590 + 17.0882i −0.372630 + 0.645414i −0.989969 0.141283i \(-0.954877\pi\)
0.617339 + 0.786697i \(0.288211\pi\)
\(702\) 3.22236 35.5986i 0.121620 1.34358i
\(703\) −22.4598 + 19.8957i −0.847089 + 0.750380i
\(704\) −4.24503 + 7.35261i −0.159991 + 0.277112i
\(705\) 0.0204002 0.677746i 0.000768317 0.0255254i
\(706\) −29.2166 −1.09958
\(707\) −14.5603 + 25.2191i −0.547595 + 0.948463i
\(708\) 1.29763 + 0.802184i 0.0487678 + 0.0301479i
\(709\) −1.40237 −0.0526672 −0.0263336 0.999653i \(-0.508383\pi\)
−0.0263336 + 0.999653i \(0.508383\pi\)
\(710\) −1.30518 −0.0489826
\(711\) −7.12095 14.2501i −0.267057 0.534422i
\(712\) 8.45065 + 14.6369i 0.316701 + 0.548543i
\(713\) 31.7795 1.19015
\(714\) 10.8185 + 6.68790i 0.404871 + 0.250288i
\(715\) −0.708093 1.22645i −0.0264812 0.0458667i
\(716\) 9.74739 16.8830i 0.364277 0.630947i
\(717\) 41.7878 22.4778i 1.56059 0.839448i
\(718\) 0.477024 0.0178024
\(719\) 11.9553 20.7072i 0.445858 0.772248i −0.552254 0.833676i \(-0.686232\pi\)
0.998112 + 0.0614280i \(0.0195655\pi\)
\(720\) −0.589522 1.17972i −0.0219702 0.0439657i
\(721\) −0.390877 −0.0145570
\(722\) 29.6157 12.6146i 1.10218 0.469467i
\(723\) 0.116007 3.85406i 0.00431436 0.143334i
\(724\) −15.7231 −0.584344
\(725\) −32.7840 −1.21757
\(726\) −11.5628 7.14802i −0.429134 0.265288i
\(727\) −14.5442 25.1913i −0.539415 0.934294i −0.998936 0.0461269i \(-0.985312\pi\)
0.459521 0.888167i \(-0.348021\pi\)
\(728\) 14.3516 + 24.8576i 0.531904 + 0.921285i
\(729\) −26.5611 4.84830i −0.983746 0.179567i
\(730\) 1.02754 0.0380309
\(731\) −9.67968 −0.358016
\(732\) 4.12964 + 2.55292i 0.152636 + 0.0943586i
\(733\) 0.435207 + 0.753801i 0.0160747 + 0.0278423i 0.873951 0.486014i \(-0.161550\pi\)
−0.857876 + 0.513857i \(0.828216\pi\)
\(734\) 14.7345 + 25.5209i 0.543861 + 0.941995i
\(735\) −0.894174 + 0.480978i −0.0329821 + 0.0177412i
\(736\) −8.84279 15.3162i −0.325950 0.564561i
\(737\) 5.73886 + 9.94000i 0.211394 + 0.366145i
\(738\) 10.5901 + 21.1923i 0.389825 + 0.780100i
\(739\) −0.170501 + 0.295316i −0.00627197 + 0.0108634i −0.869144 0.494558i \(-0.835330\pi\)
0.862872 + 0.505422i \(0.168663\pi\)
\(740\) 0.264279 0.457745i 0.00971510 0.0168270i
\(741\) 30.2058 5.22370i 1.10964 0.191897i
\(742\) −22.6807 39.2841i −0.832635 1.44217i
\(743\) 17.1491 0.629138 0.314569 0.949235i \(-0.398140\pi\)
0.314569 + 0.949235i \(0.398140\pi\)
\(744\) −24.2092 + 13.0222i −0.887553 + 0.477417i
\(745\) −0.0683414 −0.00250384
\(746\) −18.1293 + 31.4008i −0.663760 + 1.14967i
\(747\) −11.0750 + 16.7655i −0.405214 + 0.613417i
\(748\) 4.03799 0.147643
\(749\) −21.2053 + 36.7286i −0.774824 + 1.34203i
\(750\) −2.27807 + 1.22538i −0.0831832 + 0.0447445i
\(751\) 0.808980 1.40119i 0.0295201 0.0511303i −0.850888 0.525347i \(-0.823935\pi\)
0.880408 + 0.474217i \(0.157269\pi\)
\(752\) 11.0567 + 19.1508i 0.403197 + 0.698358i
\(753\) 3.93010 2.11401i 0.143221 0.0770387i
\(754\) −45.1743 −1.64515
\(755\) 0.0704393 0.122004i 0.00256355 0.00444019i
\(756\) −15.1626 + 7.01503i −0.551459 + 0.255134i
\(757\) −4.42323 + 7.66127i −0.160765 + 0.278453i −0.935143 0.354270i \(-0.884730\pi\)
0.774378 + 0.632723i \(0.218063\pi\)
\(758\) 18.1075 + 31.3631i 0.657693 + 1.13916i
\(759\) −23.1114 + 12.4317i −0.838889 + 0.451241i
\(760\) 0.550860 0.487971i 0.0199818 0.0177006i
\(761\) 12.9237 + 22.3844i 0.468483 + 0.811436i 0.999351 0.0360185i \(-0.0114675\pi\)
−0.530869 + 0.847454i \(0.678134\pi\)
\(762\) −4.27495 2.64275i −0.154865 0.0957367i
\(763\) −35.1891 60.9494i −1.27393 2.20652i
\(764\) 2.44836 + 4.24068i 0.0885785 + 0.153422i
\(765\) 0.171159 0.259102i 0.00618826 0.00936784i
\(766\) 18.6999 + 32.3892i 0.675655 + 1.17027i
\(767\) −2.05431 + 3.55816i −0.0741767 + 0.128478i
\(768\) 25.7928 + 15.9449i 0.930718 + 0.575364i
\(769\) −8.80940 + 15.2583i −0.317675 + 0.550229i −0.980003 0.198985i \(-0.936235\pi\)
0.662327 + 0.749215i \(0.269569\pi\)
\(770\) −1.09143 + 1.89041i −0.0393324 + 0.0681258i
\(771\) 16.0101 + 9.89734i 0.576590 + 0.356444i
\(772\) 3.35279 5.80721i 0.120670 0.209006i
\(773\) −10.0142 17.3450i −0.360185 0.623858i 0.627806 0.778370i \(-0.283953\pi\)
−0.987991 + 0.154512i \(0.950620\pi\)
\(774\) 23.1112 34.9859i 0.830715