Properties

Label 135.2.q.a.32.10
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.10
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0559313 - 0.639298i) q^{2} +(0.432570 - 1.67717i) q^{3} +(1.56404 + 0.275783i) q^{4} +(2.15338 + 0.602474i) q^{5} +(-1.04801 - 0.370347i) q^{6} +(-2.47086 + 3.52875i) q^{7} +(0.595975 - 2.22421i) q^{8} +(-2.62577 - 1.45098i) q^{9} +O(q^{10})\) \(q+(0.0559313 - 0.639298i) q^{2} +(0.432570 - 1.67717i) q^{3} +(1.56404 + 0.275783i) q^{4} +(2.15338 + 0.602474i) q^{5} +(-1.04801 - 0.370347i) q^{6} +(-2.47086 + 3.52875i) q^{7} +(0.595975 - 2.22421i) q^{8} +(-2.62577 - 1.45098i) q^{9} +(0.505601 - 1.34295i) q^{10} +(-0.157893 + 0.433806i) q^{11} +(1.13909 - 2.50386i) q^{12} +(-5.28596 + 0.462462i) q^{13} +(2.11772 + 1.77698i) q^{14} +(1.94193 - 3.35095i) q^{15} +(1.59619 + 0.580964i) q^{16} +(-1.32114 - 4.93057i) q^{17} +(-1.07447 + 1.59749i) q^{18} +(-1.03667 + 0.598524i) q^{19} +(3.20182 + 1.53616i) q^{20} +(4.84948 + 5.67047i) q^{21} +(0.268500 + 0.125204i) q^{22} +(-2.25381 + 1.57814i) q^{23} +(-3.47256 - 1.96168i) q^{24} +(4.27405 + 2.59470i) q^{25} +3.40517i q^{26} +(-3.56937 + 3.77619i) q^{27} +(-4.83770 + 4.83770i) q^{28} +(0.00462297 - 0.00387914i) q^{29} +(-2.03364 - 1.42890i) q^{30} +(-0.387533 + 2.19781i) q^{31} +(2.40699 - 5.16180i) q^{32} +(0.659265 + 0.452464i) q^{33} +(-3.22599 + 0.568830i) q^{34} +(-7.44667 + 6.11010i) q^{35} +(-3.70665 - 2.99354i) q^{36} +(7.25290 - 1.94341i) q^{37} +(0.324653 + 0.696220i) q^{38} +(-1.51093 + 9.06548i) q^{39} +(2.62339 - 4.43050i) q^{40} +(3.02828 - 3.60897i) q^{41} +(3.89636 - 2.78310i) q^{42} +(1.72881 - 0.806157i) q^{43} +(-0.366587 + 0.634947i) q^{44} +(-4.78008 - 4.70647i) q^{45} +(0.882840 + 1.52912i) q^{46} +(9.24502 + 6.47343i) q^{47} +(1.66484 - 2.42576i) q^{48} +(-3.95281 - 10.8602i) q^{49} +(1.89784 - 2.58727i) q^{50} +(-8.84086 + 0.0829548i) q^{51} +(-8.39501 - 0.734468i) q^{52} +(-3.94023 - 3.94023i) q^{53} +(2.21447 + 2.49310i) q^{54} +(-0.601359 + 0.839022i) q^{55} +(6.37611 + 7.59875i) q^{56} +(0.555389 + 1.99758i) q^{57} +(-0.00222135 - 0.00317242i) q^{58} +(0.388624 - 0.141448i) q^{59} +(3.96140 - 4.70548i) q^{60} +(0.399307 + 2.26458i) q^{61} +(1.38338 + 0.370675i) q^{62} +(11.6081 - 5.68050i) q^{63} +(-0.223194 - 0.128861i) q^{64} +(-11.6613 - 2.18880i) q^{65} +(0.326133 - 0.396160i) q^{66} +(-0.511475 - 5.84619i) q^{67} +(-0.706556 - 8.07597i) q^{68} +(1.67186 + 4.46267i) q^{69} +(3.48967 + 5.10238i) q^{70} +(0.648656 + 0.374502i) q^{71} +(-4.79218 + 4.97550i) q^{72} +(11.1032 + 2.97508i) q^{73} +(-0.836752 - 4.74546i) q^{74} +(6.20057 - 6.04590i) q^{75} +(-1.78647 + 0.650220i) q^{76} +(-1.14066 - 1.62904i) q^{77} +(5.71103 + 1.47297i) q^{78} +(1.01095 + 1.20481i) q^{79} +(3.08717 + 2.21269i) q^{80} +(4.78929 + 7.61989i) q^{81} +(-2.13783 - 2.13783i) q^{82} +(-10.6371 - 0.930629i) q^{83} +(6.02097 + 10.2063i) q^{84} +(0.125623 - 11.4133i) q^{85} +(-0.418680 - 1.15031i) q^{86} +(-0.00450619 - 0.00943149i) q^{87} +(0.870776 + 0.609724i) q^{88} +(-6.36010 - 11.0160i) q^{89} +(-3.27619 + 2.79265i) q^{90} +(11.4289 - 19.7955i) q^{91} +(-3.96028 + 1.84671i) q^{92} +(3.51845 + 1.60066i) q^{93} +(4.65554 - 5.54825i) q^{94} +(-2.59294 + 0.664279i) q^{95} +(-7.61600 - 6.26976i) q^{96} +(-3.62057 - 7.76434i) q^{97} +(-7.16401 + 1.91959i) q^{98} +(1.04404 - 0.909974i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0559313 0.639298i 0.0395494 0.452052i −0.950440 0.310909i \(-0.899367\pi\)
0.989989 0.141143i \(-0.0450777\pi\)
\(3\) 0.432570 1.67717i 0.249745 0.968312i
\(4\) 1.56404 + 0.275783i 0.782021 + 0.137891i
\(5\) 2.15338 + 0.602474i 0.963019 + 0.269434i
\(6\) −1.04801 0.370347i −0.427850 0.151194i
\(7\) −2.47086 + 3.52875i −0.933897 + 1.33374i 0.00875387 + 0.999962i \(0.497214\pi\)
−0.942651 + 0.333781i \(0.891675\pi\)
\(8\) 0.595975 2.22421i 0.210709 0.786377i
\(9\) −2.62577 1.45098i −0.875255 0.483661i
\(10\) 0.505601 1.34295i 0.159885 0.424678i
\(11\) −0.157893 + 0.433806i −0.0476064 + 0.130798i −0.961217 0.275792i \(-0.911060\pi\)
0.913611 + 0.406590i \(0.133282\pi\)
\(12\) 1.13909 2.50386i 0.328828 0.722803i
\(13\) −5.28596 + 0.462462i −1.46606 + 0.128264i −0.792050 0.610457i \(-0.790986\pi\)
−0.674012 + 0.738720i \(0.735430\pi\)
\(14\) 2.11772 + 1.77698i 0.565986 + 0.474918i
\(15\) 1.94193 3.35095i 0.501405 0.865213i
\(16\) 1.59619 + 0.580964i 0.399047 + 0.145241i
\(17\) −1.32114 4.93057i −0.320424 1.19584i −0.918833 0.394647i \(-0.870867\pi\)
0.598409 0.801191i \(-0.295800\pi\)
\(18\) −1.07447 + 1.59749i −0.253256 + 0.376532i
\(19\) −1.03667 + 0.598524i −0.237829 + 0.137311i −0.614179 0.789167i \(-0.710513\pi\)
0.376349 + 0.926478i \(0.377179\pi\)
\(20\) 3.20182 + 1.53616i 0.715948 + 0.343495i
\(21\) 4.84948 + 5.67047i 1.05824 + 1.23740i
\(22\) 0.268500 + 0.125204i 0.0572444 + 0.0266935i
\(23\) −2.25381 + 1.57814i −0.469952 + 0.329064i −0.784448 0.620195i \(-0.787054\pi\)
0.314496 + 0.949259i \(0.398165\pi\)
\(24\) −3.47256 1.96168i −0.708834 0.400425i
\(25\) 4.27405 + 2.59470i 0.854810 + 0.518941i
\(26\) 3.40517i 0.667808i
\(27\) −3.56937 + 3.77619i −0.686925 + 0.726728i
\(28\) −4.83770 + 4.83770i −0.914239 + 0.914239i
\(29\) 0.00462297 0.00387914i 0.000858465 0.000720337i −0.642358 0.766404i \(-0.722044\pi\)
0.643217 + 0.765684i \(0.277599\pi\)
\(30\) −2.03364 1.42890i −0.371290 0.260880i
\(31\) −0.387533 + 2.19781i −0.0696030 + 0.394738i 0.930026 + 0.367494i \(0.119784\pi\)
−0.999629 + 0.0272441i \(0.991327\pi\)
\(32\) 2.40699 5.16180i 0.425499 0.912486i
\(33\) 0.659265 + 0.452464i 0.114763 + 0.0787638i
\(34\) −3.22599 + 0.568830i −0.553253 + 0.0975535i
\(35\) −7.44667 + 6.11010i −1.25872 + 1.03280i
\(36\) −3.70665 2.99354i −0.617775 0.498924i
\(37\) 7.25290 1.94341i 1.19237 0.319494i 0.392547 0.919732i \(-0.371594\pi\)
0.799822 + 0.600238i \(0.204927\pi\)
\(38\) 0.324653 + 0.696220i 0.0526656 + 0.112942i
\(39\) −1.51093 + 9.06548i −0.241942 + 1.45164i
\(40\) 2.62339 4.43050i 0.414794 0.700523i
\(41\) 3.02828 3.60897i 0.472939 0.563626i −0.475855 0.879524i \(-0.657861\pi\)
0.948793 + 0.315898i \(0.102306\pi\)
\(42\) 3.89636 2.78310i 0.601221 0.429442i
\(43\) 1.72881 0.806157i 0.263641 0.122938i −0.286304 0.958139i \(-0.592427\pi\)
0.549945 + 0.835201i \(0.314649\pi\)
\(44\) −0.366587 + 0.634947i −0.0552651 + 0.0957219i
\(45\) −4.78008 4.70647i −0.712572 0.701599i
\(46\) 0.882840 + 1.52912i 0.130168 + 0.225457i
\(47\) 9.24502 + 6.47343i 1.34853 + 0.944247i 0.999976 + 0.00695690i \(0.00221447\pi\)
0.348549 + 0.937290i \(0.386674\pi\)
\(48\) 1.66484 2.42576i 0.240298 0.350128i
\(49\) −3.95281 10.8602i −0.564687 1.55146i
\(50\) 1.89784 2.58727i 0.268395 0.365895i
\(51\) −8.84086 + 0.0829548i −1.23797 + 0.0116160i
\(52\) −8.39501 0.734468i −1.16418 0.101852i
\(53\) −3.94023 3.94023i −0.541233 0.541233i 0.382657 0.923890i \(-0.375009\pi\)
−0.923890 + 0.382657i \(0.875009\pi\)
\(54\) 2.21447 + 2.49310i 0.301351 + 0.339267i
\(55\) −0.601359 + 0.839022i −0.0810872 + 0.113134i
\(56\) 6.37611 + 7.59875i 0.852044 + 1.01543i
\(57\) 0.555389 + 1.99758i 0.0735631 + 0.264586i
\(58\) −0.00222135 0.00317242i −0.000291678 0.000416559i
\(59\) 0.388624 0.141448i 0.0505945 0.0184149i −0.316599 0.948559i \(-0.602541\pi\)
0.367193 + 0.930145i \(0.380319\pi\)
\(60\) 3.96140 4.70548i 0.511415 0.607475i
\(61\) 0.399307 + 2.26458i 0.0511260 + 0.289950i 0.999641 0.0267812i \(-0.00852575\pi\)
−0.948515 + 0.316731i \(0.897415\pi\)
\(62\) 1.38338 + 0.370675i 0.175689 + 0.0470758i
\(63\) 11.6081 5.68050i 1.46248 0.715676i
\(64\) −0.223194 0.128861i −0.0278993 0.0161077i
\(65\) −11.6613 2.18880i −1.44640 0.271487i
\(66\) 0.326133 0.396160i 0.0401441 0.0487639i
\(67\) −0.511475 5.84619i −0.0624866 0.714226i −0.961230 0.275750i \(-0.911074\pi\)
0.898743 0.438476i \(-0.144482\pi\)
\(68\) −0.706556 8.07597i −0.0856824 0.979355i
\(69\) 1.67186 + 4.46267i 0.201269 + 0.537242i
\(70\) 3.48967 + 5.10238i 0.417095 + 0.609851i
\(71\) 0.648656 + 0.374502i 0.0769813 + 0.0444452i 0.537997 0.842947i \(-0.319181\pi\)
−0.461015 + 0.887392i \(0.652515\pi\)
\(72\) −4.79218 + 4.97550i −0.564764 + 0.586368i
\(73\) 11.1032 + 2.97508i 1.29953 + 0.348207i 0.841271 0.540614i \(-0.181808\pi\)
0.458255 + 0.888821i \(0.348475\pi\)
\(74\) −0.836752 4.74546i −0.0972705 0.551648i
\(75\) 6.20057 6.04590i 0.715981 0.698120i
\(76\) −1.78647 + 0.650220i −0.204922 + 0.0745854i
\(77\) −1.14066 1.62904i −0.129991 0.185646i
\(78\) 5.71103 + 1.47297i 0.646647 + 0.166782i
\(79\) 1.01095 + 1.20481i 0.113741 + 0.135551i 0.819911 0.572491i \(-0.194023\pi\)
−0.706170 + 0.708043i \(0.749578\pi\)
\(80\) 3.08717 + 2.21269i 0.345156 + 0.247387i
\(81\) 4.78929 + 7.61989i 0.532143 + 0.846654i
\(82\) −2.13783 2.13783i −0.236084 0.236084i
\(83\) −10.6371 0.930629i −1.16758 0.102150i −0.513167 0.858289i \(-0.671528\pi\)
−0.654411 + 0.756139i \(0.727083\pi\)
\(84\) 6.02097 + 10.2063i 0.656942 + 1.11359i
\(85\) 0.125623 11.4133i 0.0136257 1.23795i
\(86\) −0.418680 1.15031i −0.0451474 0.124041i
\(87\) −0.00450619 0.00943149i −0.000483114 0.00101116i
\(88\) 0.870776 + 0.609724i 0.0928250 + 0.0649968i
\(89\) −6.36010 11.0160i −0.674169 1.16770i −0.976711 0.214559i \(-0.931168\pi\)
0.302542 0.953136i \(-0.402165\pi\)
\(90\) −3.27619 + 2.79265i −0.345341 + 0.294372i
\(91\) 11.4289 19.7955i 1.19808 2.07513i
\(92\) −3.96028 + 1.84671i −0.412888 + 0.192533i
\(93\) 3.51845 + 1.60066i 0.364847 + 0.165981i
\(94\) 4.65554 5.54825i 0.480182 0.572259i
\(95\) −2.59294 + 0.664279i −0.266030 + 0.0681535i
\(96\) −7.61600 6.26976i −0.777305 0.639904i
\(97\) −3.62057 7.76434i −0.367613 0.788349i −0.999907 0.0136208i \(-0.995664\pi\)
0.632294 0.774729i \(-0.282114\pi\)
\(98\) −7.16401 + 1.91959i −0.723675 + 0.193908i
\(99\) 1.04404 0.909974i 0.104929 0.0914558i
\(100\) 5.96922 + 5.23694i 0.596922 + 0.523694i
\(101\) −15.4590 + 2.72585i −1.53823 + 0.271232i −0.877569 0.479450i \(-0.840836\pi\)
−0.660663 + 0.750682i \(0.729725\pi\)
\(102\) −0.441448 + 5.65658i −0.0437099 + 0.560085i
\(103\) −5.91592 + 12.6867i −0.582912 + 1.25006i 0.364845 + 0.931068i \(0.381122\pi\)
−0.947758 + 0.318992i \(0.896656\pi\)
\(104\) −2.12169 + 12.0327i −0.208049 + 1.17990i
\(105\) 7.02644 + 15.1323i 0.685710 + 1.47676i
\(106\) −2.73936 + 2.29860i −0.266071 + 0.223260i
\(107\) −2.86472 + 2.86472i −0.276943 + 0.276943i −0.831887 0.554945i \(-0.812739\pi\)
0.554945 + 0.831887i \(0.312739\pi\)
\(108\) −6.62405 + 4.92175i −0.637400 + 0.473596i
\(109\) 6.64284i 0.636269i −0.948046 0.318134i \(-0.896944\pi\)
0.948046 0.318134i \(-0.103056\pi\)
\(110\) 0.502750 + 0.431375i 0.0479353 + 0.0411300i
\(111\) −0.122027 13.0050i −0.0115823 1.23438i
\(112\) −5.99403 + 4.19706i −0.566382 + 0.396585i
\(113\) 6.36611 + 2.96857i 0.598874 + 0.279259i 0.698322 0.715783i \(-0.253930\pi\)
−0.0994488 + 0.995043i \(0.531708\pi\)
\(114\) 1.30811 0.243332i 0.122516 0.0227901i
\(115\) −5.80409 + 2.04046i −0.541234 + 0.190274i
\(116\) 0.00830033 0.00479220i 0.000770666 0.000444944i
\(117\) 14.5507 + 6.45553i 1.34521 + 0.596814i
\(118\) −0.0686908 0.256358i −0.00632350 0.0235996i
\(119\) 20.6631 + 7.52076i 1.89418 + 0.689427i
\(120\) −6.29588 6.31635i −0.574732 0.576601i
\(121\) 8.26323 + 6.93367i 0.751203 + 0.630334i
\(122\) 1.47008 0.128615i 0.133094 0.0116443i
\(123\) −4.74289 6.64007i −0.427652 0.598715i
\(124\) −1.21224 + 3.33059i −0.108862 + 0.299096i
\(125\) 7.64040 + 8.16237i 0.683378 + 0.730065i
\(126\) −2.98227 7.73872i −0.265682 0.689420i
\(127\) −2.17007 + 8.09882i −0.192563 + 0.718654i 0.800322 + 0.599571i \(0.204662\pi\)
−0.992884 + 0.119083i \(0.962005\pi\)
\(128\) 6.43865 9.19534i 0.569102 0.812761i
\(129\) −0.604227 3.24822i −0.0531992 0.285990i
\(130\) −2.05152 + 7.33260i −0.179931 + 0.643112i
\(131\) −11.2646 1.98625i −0.984193 0.173540i −0.341682 0.939816i \(-0.610996\pi\)
−0.642512 + 0.766276i \(0.722108\pi\)
\(132\) 0.906337 + 0.889487i 0.0788865 + 0.0774199i
\(133\) 0.449432 5.13704i 0.0389707 0.445437i
\(134\) −3.76606 −0.325338
\(135\) −9.96124 + 5.98110i −0.857327 + 0.514771i
\(136\) −11.7540 −1.00790
\(137\) −0.898508 + 10.2700i −0.0767647 + 0.877424i 0.856009 + 0.516961i \(0.172937\pi\)
−0.932773 + 0.360463i \(0.882619\pi\)
\(138\) 2.94648 0.819214i 0.250821 0.0697362i
\(139\) 1.70385 + 0.300434i 0.144518 + 0.0254825i 0.245439 0.969412i \(-0.421068\pi\)
−0.100921 + 0.994894i \(0.532179\pi\)
\(140\) −13.3320 + 7.50279i −1.12676 + 0.634102i
\(141\) 14.8561 12.7052i 1.25111 1.06997i
\(142\) 0.275698 0.393738i 0.0231361 0.0330417i
\(143\) 0.633995 2.36610i 0.0530173 0.197863i
\(144\) −3.34824 3.84152i −0.279020 0.320126i
\(145\) 0.0122921 0.00556802i 0.00102080 0.000462399i
\(146\) 2.52298 6.93182i 0.208803 0.573681i
\(147\) −19.9243 + 1.93169i −1.64333 + 0.159323i
\(148\) 11.8798 1.03935i 0.976513 0.0854339i
\(149\) 3.51771 + 2.95171i 0.288182 + 0.241813i 0.775405 0.631464i \(-0.217546\pi\)
−0.487223 + 0.873277i \(0.661990\pi\)
\(150\) −3.51832 4.30217i −0.287270 0.351270i
\(151\) −4.16351 1.51539i −0.338821 0.123321i 0.167005 0.985956i \(-0.446590\pi\)
−0.505827 + 0.862635i \(0.668813\pi\)
\(152\) 0.713411 + 2.66249i 0.0578653 + 0.215956i
\(153\) −3.68517 + 14.8635i −0.297928 + 1.20164i
\(154\) −1.10524 + 0.638110i −0.0890627 + 0.0514204i
\(155\) −2.15863 + 4.49923i −0.173385 + 0.361387i
\(156\) −4.86326 + 13.7621i −0.389372 + 1.10185i
\(157\) 0.754412 + 0.351788i 0.0602086 + 0.0280757i 0.452489 0.891770i \(-0.350536\pi\)
−0.392281 + 0.919846i \(0.628314\pi\)
\(158\) 0.826774 0.578913i 0.0657746 0.0460559i
\(159\) −8.31285 + 4.90400i −0.659252 + 0.388912i
\(160\) 8.29300 9.66515i 0.655619 0.764097i
\(161\) 11.8525i 0.934107i
\(162\) 5.13925 2.63559i 0.403777 0.207072i
\(163\) −10.1572 + 10.1572i −0.795571 + 0.795571i −0.982394 0.186823i \(-0.940181\pi\)
0.186823 + 0.982394i \(0.440181\pi\)
\(164\) 5.73166 4.80943i 0.447567 0.375554i
\(165\) 1.14705 + 1.37151i 0.0892976 + 0.106772i
\(166\) −1.18990 + 6.74824i −0.0923540 + 0.523765i
\(167\) 9.48250 20.3353i 0.733778 1.57359i −0.0829395 0.996555i \(-0.526431\pi\)
0.816718 0.577038i \(-0.195791\pi\)
\(168\) 15.5025 7.40680i 1.19604 0.571447i
\(169\) 14.9250 2.63168i 1.14808 0.202437i
\(170\) −7.28948 0.718672i −0.559078 0.0551196i
\(171\) 3.59051 0.0673863i 0.274573 0.00515316i
\(172\) 2.92626 0.784088i 0.223125 0.0597861i
\(173\) −0.976093 2.09324i −0.0742110 0.159146i 0.865702 0.500559i \(-0.166872\pi\)
−0.939913 + 0.341413i \(0.889094\pi\)
\(174\) −0.00628157 + 0.00235328i −0.000476204 + 0.000178402i
\(175\) −19.7166 + 8.67092i −1.49044 + 0.655460i
\(176\) −0.504052 + 0.600706i −0.0379943 + 0.0452799i
\(177\) −0.0691237 0.712973i −0.00519565 0.0535903i
\(178\) −7.39824 + 3.44986i −0.554522 + 0.258578i
\(179\) 10.3891 17.9945i 0.776520 1.34497i −0.157416 0.987532i \(-0.550316\pi\)
0.933936 0.357440i \(-0.116350\pi\)
\(180\) −6.17828 8.67938i −0.460502 0.646923i
\(181\) 1.61486 + 2.79701i 0.120031 + 0.207900i 0.919780 0.392435i \(-0.128367\pi\)
−0.799748 + 0.600335i \(0.795034\pi\)
\(182\) −12.0160 8.41369i −0.890685 0.623664i
\(183\) 3.97081 + 0.309888i 0.293531 + 0.0229076i
\(184\) 2.16689 + 5.95348i 0.159745 + 0.438896i
\(185\) 16.7891 + 0.184792i 1.23436 + 0.0135862i
\(186\) 1.22009 2.15981i 0.0894615 0.158365i
\(187\) 2.34751 + 0.205381i 0.171667 + 0.0150189i
\(188\) 12.6743 + 12.6743i 0.924372 + 0.924372i
\(189\) −4.50583 21.9258i −0.327751 1.59487i
\(190\) 0.279645 + 1.69482i 0.0202876 + 0.122955i
\(191\) 0.296698 + 0.353591i 0.0214683 + 0.0255850i 0.776672 0.629905i \(-0.216906\pi\)
−0.755203 + 0.655490i \(0.772462\pi\)
\(192\) −0.312669 + 0.318592i −0.0225649 + 0.0229924i
\(193\) 1.30491 + 1.86360i 0.0939292 + 0.134145i 0.863366 0.504578i \(-0.168352\pi\)
−0.769437 + 0.638723i \(0.779463\pi\)
\(194\) −5.16623 + 1.88035i −0.370914 + 0.135001i
\(195\) −8.71530 + 18.6111i −0.624116 + 1.33277i
\(196\) −3.18729 18.0760i −0.227663 1.29114i
\(197\) 25.7926 + 6.91110i 1.83765 + 0.492396i 0.998660 0.0517571i \(-0.0164821\pi\)
0.838986 + 0.544153i \(0.183149\pi\)
\(198\) −0.523350 0.718345i −0.0371929 0.0510506i
\(199\) −20.6539 11.9246i −1.46412 0.845309i −0.464921 0.885352i \(-0.653917\pi\)
−0.999198 + 0.0400428i \(0.987251\pi\)
\(200\) 8.31839 7.96001i 0.588199 0.562857i
\(201\) −10.0263 1.67106i −0.707199 0.117867i
\(202\) 0.877983 + 10.0354i 0.0617747 + 0.706088i
\(203\) 0.00226579 + 0.0258981i 0.000159027 + 0.00181769i
\(204\) −13.8504 2.30841i −0.969720 0.161621i
\(205\) 8.69534 5.94700i 0.607309 0.415357i
\(206\) 7.77970 + 4.49161i 0.542038 + 0.312946i
\(207\) 8.20783 0.873570i 0.570484 0.0607173i
\(208\) −8.70605 2.33278i −0.603656 0.161749i
\(209\) −0.0959604 0.544219i −0.00663772 0.0376444i
\(210\) 10.0671 3.64561i 0.694693 0.251571i
\(211\) 20.3867 7.42015i 1.40348 0.510825i 0.474270 0.880379i \(-0.342712\pi\)
0.929209 + 0.369555i \(0.120490\pi\)
\(212\) −5.07605 7.24934i −0.348624 0.497887i
\(213\) 0.908691 0.925905i 0.0622625 0.0634420i
\(214\) 1.67118 + 1.99163i 0.114239 + 0.136145i
\(215\) 4.20846 0.694397i 0.287015 0.0473575i
\(216\) 6.27178 + 10.1895i 0.426741 + 0.693310i
\(217\) −6.79799 6.79799i −0.461477 0.461477i
\(218\) −4.24675 0.371543i −0.287626 0.0251640i
\(219\) 9.79260 17.3349i 0.661722 1.17138i
\(220\) −1.17194 + 1.14642i −0.0790121 + 0.0772917i
\(221\) 9.26370 + 25.4518i 0.623144 + 1.71207i
\(222\) −8.32087 0.649373i −0.558460 0.0435831i
\(223\) 9.00598 + 6.30605i 0.603085 + 0.422285i 0.834842 0.550489i \(-0.185559\pi\)
−0.231757 + 0.972774i \(0.574448\pi\)
\(224\) 12.2674 + 21.2477i 0.819649 + 1.41967i
\(225\) −7.45778 13.0147i −0.497186 0.867644i
\(226\) 2.25386 3.90381i 0.149925 0.259677i
\(227\) −8.96865 + 4.18215i −0.595270 + 0.277579i −0.696814 0.717252i \(-0.745400\pi\)
0.101544 + 0.994831i \(0.467622\pi\)
\(228\) 0.317755 + 3.27746i 0.0210438 + 0.217055i
\(229\) −6.25137 + 7.45009i −0.413102 + 0.492316i −0.931968 0.362540i \(-0.881910\pi\)
0.518866 + 0.854855i \(0.326354\pi\)
\(230\) 0.979829 + 3.82466i 0.0646080 + 0.252191i
\(231\) −3.22558 + 1.20841i −0.212228 + 0.0795075i
\(232\) −0.00587283 0.0125943i −0.000385570 0.000826858i
\(233\) −9.77279 + 2.61861i −0.640236 + 0.171551i −0.564311 0.825563i \(-0.690858\pi\)
−0.0759259 + 0.997113i \(0.524191\pi\)
\(234\) 4.94084 8.94117i 0.322993 0.584503i
\(235\) 16.0079 + 19.5096i 1.04424 + 1.27267i
\(236\) 0.646833 0.114054i 0.0421053 0.00742429i
\(237\) 2.45797 1.17437i 0.159662 0.0762836i
\(238\) 5.96371 12.7892i 0.386570 0.829002i
\(239\) 0.554723 3.14599i 0.0358821 0.203497i −0.961596 0.274468i \(-0.911498\pi\)
0.997478 + 0.0709702i \(0.0226095\pi\)
\(240\) 5.04647 4.22055i 0.325748 0.272435i
\(241\) −15.5334 + 13.0341i −1.00060 + 0.839600i −0.987067 0.160309i \(-0.948751\pi\)
−0.0135291 + 0.999908i \(0.504307\pi\)
\(242\) 4.89485 4.89485i 0.314653 0.314653i
\(243\) 14.8515 4.73629i 0.952725 0.303833i
\(244\) 3.65203i 0.233797i
\(245\) −1.96886 25.7676i −0.125786 1.64623i
\(246\) −4.51025 + 2.66073i −0.287563 + 0.169642i
\(247\) 5.20303 3.64320i 0.331061 0.231811i
\(248\) 4.65743 + 2.17179i 0.295747 + 0.137909i
\(249\) −6.16213 + 17.4377i −0.390509 + 1.10507i
\(250\) 5.64552 4.42795i 0.357054 0.280048i
\(251\) 12.3046 7.10409i 0.776662 0.448406i −0.0585840 0.998282i \(-0.518659\pi\)
0.835246 + 0.549876i \(0.185325\pi\)
\(252\) 19.7221 5.68324i 1.24237 0.358010i
\(253\) −0.328745 1.22689i −0.0206680 0.0771341i
\(254\) 5.05618 + 1.84030i 0.317253 + 0.115471i
\(255\) −19.0877 5.14775i −1.19532 0.322365i
\(256\) −5.91329 4.96184i −0.369581 0.310115i
\(257\) −28.1859 + 2.46595i −1.75819 + 0.153822i −0.920093 0.391701i \(-0.871887\pi\)
−0.838096 + 0.545522i \(0.816331\pi\)
\(258\) −2.11037 + 0.204604i −0.131386 + 0.0127381i
\(259\) −11.0631 + 30.3956i −0.687426 + 1.88869i
\(260\) −17.6351 6.63935i −1.09368 0.411755i
\(261\) −0.0177674 + 0.00347784i −0.00109978 + 0.000215273i
\(262\) −1.89985 + 7.09034i −0.117373 + 0.438043i
\(263\) −3.01081 + 4.29988i −0.185655 + 0.265142i −0.901181 0.433444i \(-0.857298\pi\)
0.715526 + 0.698586i \(0.246187\pi\)
\(264\) 1.39928 1.19669i 0.0861197 0.0736510i
\(265\) −6.11092 10.8587i −0.375391 0.667044i
\(266\) −3.25896 0.574642i −0.199819 0.0352336i
\(267\) −21.2269 + 5.90173i −1.29906 + 0.361180i
\(268\) 0.812310 9.28474i 0.0496197 0.567156i
\(269\) −11.2342 −0.684961 −0.342480 0.939525i \(-0.611267\pi\)
−0.342480 + 0.939525i \(0.611267\pi\)
\(270\) 3.26656 + 6.70273i 0.198796 + 0.407915i
\(271\) −15.3871 −0.934699 −0.467349 0.884073i \(-0.654791\pi\)
−0.467349 + 0.884073i \(0.654791\pi\)
\(272\) 0.755696 8.63764i 0.0458208 0.523734i
\(273\) −28.2565 27.7312i −1.71016 1.67837i
\(274\) 6.51532 + 1.14883i 0.393605 + 0.0694032i
\(275\) −1.80044 + 1.44443i −0.108571 + 0.0871022i
\(276\) 1.38414 + 7.44087i 0.0833152 + 0.447888i
\(277\) 9.41860 13.4512i 0.565909 0.808202i −0.429585 0.903026i \(-0.641340\pi\)
0.995494 + 0.0948247i \(0.0302291\pi\)
\(278\) 0.287365 1.07246i 0.0172350 0.0643219i
\(279\) 4.20656 5.20863i 0.251840 0.311832i
\(280\) 9.15211 + 20.2044i 0.546943 + 1.20744i
\(281\) −3.30030 + 9.06751i −0.196880 + 0.540922i −0.998369 0.0570865i \(-0.981819\pi\)
0.801490 + 0.598009i \(0.204041\pi\)
\(282\) −7.29149 10.2081i −0.434202 0.607884i
\(283\) −15.4609 + 1.35265i −0.919054 + 0.0804068i −0.536856 0.843674i \(-0.680388\pi\)
−0.382198 + 0.924080i \(0.624833\pi\)
\(284\) 0.911245 + 0.764625i 0.0540724 + 0.0453721i
\(285\) −0.00752639 + 4.63614i −0.000445825 + 0.274621i
\(286\) −1.47718 0.537651i −0.0873477 0.0317920i
\(287\) 5.25269 + 19.6033i 0.310057 + 1.15715i
\(288\) −13.8099 + 10.0612i −0.813755 + 0.592861i
\(289\) −7.84266 + 4.52796i −0.461333 + 0.266351i
\(290\) −0.00287211 0.00816972i −0.000168656 0.000479742i
\(291\) −14.5882 + 2.71367i −0.855177 + 0.159078i
\(292\) 16.5453 + 7.71521i 0.968242 + 0.451499i
\(293\) 7.90208 5.53310i 0.461645 0.323247i −0.319512 0.947582i \(-0.603519\pi\)
0.781157 + 0.624335i \(0.214630\pi\)
\(294\) 0.120532 + 12.8456i 0.00702954 + 0.749170i
\(295\) 0.922072 0.0704540i 0.0536851 0.00410199i
\(296\) 17.2902i 1.00497i
\(297\) −1.07456 2.14465i −0.0623522 0.124445i
\(298\) 2.08377 2.08377i 0.120709 0.120709i
\(299\) 11.1837 9.38426i 0.646772 0.542706i
\(300\) 11.3653 7.74603i 0.656177 0.447217i
\(301\) −1.42692 + 8.09244i −0.0822460 + 0.466440i
\(302\) −1.20166 + 2.57696i −0.0691476 + 0.148288i
\(303\) −2.11543 + 27.1065i −0.121528 + 1.55723i
\(304\) −2.00245 + 0.353085i −0.114848 + 0.0202508i
\(305\) −0.504493 + 5.11707i −0.0288872 + 0.293003i
\(306\) 9.29607 + 3.18725i 0.531421 + 0.182203i
\(307\) 4.23478 1.13471i 0.241692 0.0647610i −0.135940 0.990717i \(-0.543405\pi\)
0.377631 + 0.925956i \(0.376739\pi\)
\(308\) −1.33479 2.86246i −0.0760566 0.163104i
\(309\) 18.7187 + 15.4099i 1.06487 + 0.876637i
\(310\) 2.75561 + 1.63165i 0.156508 + 0.0926716i
\(311\) −5.33012 + 6.35219i −0.302243 + 0.360199i −0.895694 0.444671i \(-0.853321\pi\)
0.593451 + 0.804870i \(0.297765\pi\)
\(312\) 19.2630 + 8.76341i 1.09055 + 0.496131i
\(313\) 9.38140 4.37462i 0.530268 0.247268i −0.138996 0.990293i \(-0.544387\pi\)
0.669264 + 0.743025i \(0.266610\pi\)
\(314\) 0.267093 0.462618i 0.0150729 0.0261070i
\(315\) 28.4189 5.23870i 1.60122 0.295167i
\(316\) 1.24891 + 2.16317i 0.0702566 + 0.121688i
\(317\) −1.11253 0.779004i −0.0624861 0.0437532i 0.541916 0.840433i \(-0.317699\pi\)
−0.604402 + 0.796679i \(0.706588\pi\)
\(318\) 2.67016 + 5.58867i 0.149735 + 0.313397i
\(319\) 0.000952860 0.00261796i 5.33499e−5 0.000146578i
\(320\) −0.402986 0.411955i −0.0225276 0.0230290i
\(321\) 3.56541 + 6.04379i 0.199002 + 0.337332i
\(322\) −7.57727 0.662925i −0.422265 0.0369434i
\(323\) 4.32066 + 4.32066i 0.240408 + 0.240408i
\(324\) 5.38922 + 13.2386i 0.299401 + 0.735480i
\(325\) −23.7924 11.7389i −1.31977 0.651158i
\(326\) 5.92535 + 7.06156i 0.328175 + 0.391104i
\(327\) −11.1411 2.87350i −0.616106 0.158905i
\(328\) −6.22232 8.88639i −0.343570 0.490669i
\(329\) −45.6863 + 16.6284i −2.51877 + 0.916756i
\(330\) 0.940962 0.656594i 0.0517982 0.0361443i
\(331\) 1.24032 + 7.03423i 0.0681744 + 0.386636i 0.999734 + 0.0230485i \(0.00733722\pi\)
−0.931560 + 0.363588i \(0.881552\pi\)
\(332\) −16.3803 4.38908i −0.898985 0.240882i
\(333\) −21.8643 5.42091i −1.19815 0.297064i
\(334\) −12.4699 7.19952i −0.682324 0.393940i
\(335\) 2.42078 12.8972i 0.132261 0.704649i
\(336\) 4.44633 + 11.8685i 0.242567 + 0.647480i
\(337\) 2.50617 + 28.6457i 0.136520 + 1.56043i 0.687671 + 0.726023i \(0.258633\pi\)
−0.551151 + 0.834406i \(0.685811\pi\)
\(338\) −0.847653 9.68871i −0.0461062 0.526997i
\(339\) 7.73257 9.39291i 0.419976 0.510153i
\(340\) 3.34408 17.8163i 0.181358 0.966223i
\(341\) −0.892235 0.515132i −0.0483172 0.0278960i
\(342\) 0.157742 2.29918i 0.00852972 0.124325i
\(343\) 18.9628 + 5.08105i 1.02389 + 0.274351i
\(344\) −0.762735 4.32568i −0.0411239 0.233225i
\(345\) 0.911506 + 10.6171i 0.0490739 + 0.571603i
\(346\) −1.39280 + 0.506936i −0.0748772 + 0.0272531i
\(347\) 16.9146 + 24.1565i 0.908021 + 1.29679i 0.954605 + 0.297874i \(0.0962775\pi\)
−0.0465844 + 0.998914i \(0.514834\pi\)
\(348\) −0.00444683 0.0159940i −0.000238375 0.000857367i
\(349\) 13.2402 + 15.7790i 0.708730 + 0.844632i 0.993484 0.113969i \(-0.0363563\pi\)
−0.284754 + 0.958601i \(0.591912\pi\)
\(350\) 4.44052 + 13.0898i 0.237356 + 0.699678i
\(351\) 17.1212 21.6115i 0.913862 1.15354i
\(352\) 1.85918 + 1.85918i 0.0990944 + 0.0990944i
\(353\) −1.74696 0.152839i −0.0929814 0.00813482i 0.0405701 0.999177i \(-0.487083\pi\)
−0.133552 + 0.991042i \(0.542638\pi\)
\(354\) −0.459668 + 0.00431311i −0.0244311 + 0.000229239i
\(355\) 1.17117 + 1.19724i 0.0621594 + 0.0635430i
\(356\) −6.90944 18.9835i −0.366199 1.00612i
\(357\) 21.5518 31.4022i 1.14064 1.66198i
\(358\) −10.9228 7.64820i −0.577286 0.404220i
\(359\) −9.41628 16.3095i −0.496972 0.860781i 0.503022 0.864274i \(-0.332222\pi\)
−0.999994 + 0.00349274i \(0.998888\pi\)
\(360\) −13.3170 + 7.82696i −0.701866 + 0.412517i
\(361\) −8.78354 + 15.2135i −0.462291 + 0.800712i
\(362\) 1.87844 0.875933i 0.0987288 0.0460380i
\(363\) 15.2033 10.8595i 0.797969 0.569976i
\(364\) 23.3346 27.8091i 1.22307 1.45759i
\(365\) 22.1168 + 13.0958i 1.15765 + 0.685467i
\(366\) 0.420203 2.52120i 0.0219644 0.131785i
\(367\) −11.3614 24.3645i −0.593058 1.27182i −0.942295 0.334783i \(-0.891337\pi\)
0.349237 0.937034i \(-0.386441\pi\)
\(368\) −4.51434 + 1.20961i −0.235326 + 0.0630555i
\(369\) −13.1881 + 5.08231i −0.686546 + 0.264575i
\(370\) 1.05717 10.7229i 0.0549597 0.557456i
\(371\) 23.6399 4.16835i 1.22732 0.216410i
\(372\) 5.06158 + 3.47384i 0.262431 + 0.180110i
\(373\) 1.33439 2.86161i 0.0690922 0.148169i −0.868729 0.495288i \(-0.835062\pi\)
0.937821 + 0.347120i \(0.112840\pi\)
\(374\) 0.262599 1.48927i 0.0135786 0.0770083i
\(375\) 16.9947 9.28340i 0.877600 0.479393i
\(376\) 19.9081 16.7049i 1.02668 0.861487i
\(377\) −0.0226429 + 0.0226429i −0.00116617 + 0.00116617i
\(378\) −14.2692 + 1.65423i −0.733926 + 0.0850842i
\(379\) 7.29800i 0.374873i −0.982277 0.187436i \(-0.939982\pi\)
0.982277 0.187436i \(-0.0600179\pi\)
\(380\) −4.23867 + 0.323870i −0.217439 + 0.0166142i
\(381\) 12.6443 + 7.14288i 0.647789 + 0.365941i
\(382\) 0.242645 0.169902i 0.0124148 0.00869293i
\(383\) 16.6615 + 7.76938i 0.851362 + 0.396997i 0.798783 0.601620i \(-0.205478\pi\)
0.0525799 + 0.998617i \(0.483256\pi\)
\(384\) −12.6369 14.7763i −0.644876 0.754051i
\(385\) −1.47483 4.19515i −0.0751641 0.213805i
\(386\) 1.26438 0.729990i 0.0643552 0.0371555i
\(387\) −5.70917 0.391696i −0.290213 0.0199110i
\(388\) −3.52146 13.1423i −0.178775 0.667197i
\(389\) −19.7491 7.18808i −1.00132 0.364450i −0.211226 0.977437i \(-0.567746\pi\)
−0.790093 + 0.612987i \(0.789968\pi\)
\(390\) 11.4106 + 6.61261i 0.577796 + 0.334843i
\(391\) 10.7587 + 9.02763i 0.544091 + 0.456547i
\(392\) −26.5112 + 2.31943i −1.33902 + 0.117149i
\(393\) −8.20401 + 18.0334i −0.413838 + 0.909665i
\(394\) 5.86086 16.1026i 0.295266 0.811237i
\(395\) 1.45110 + 3.20347i 0.0730126 + 0.161184i
\(396\) 1.88387 1.13531i 0.0946681 0.0570515i
\(397\) 8.78326 32.7796i 0.440819 1.64516i −0.285926 0.958252i \(-0.592301\pi\)
0.726745 0.686907i \(-0.241032\pi\)
\(398\) −8.77854 + 12.5371i −0.440029 + 0.628426i
\(399\) −8.42125 2.97590i −0.421590 0.148981i
\(400\) 5.31475 + 6.62470i 0.265738 + 0.331235i
\(401\) −26.7887 4.72357i −1.33776 0.235884i −0.541433 0.840744i \(-0.682118\pi\)
−0.796332 + 0.604860i \(0.793229\pi\)
\(402\) −1.62909 + 6.31631i −0.0812515 + 0.315029i
\(403\) 1.03208 11.7968i 0.0514117 0.587638i
\(404\) −24.9303 −1.24033
\(405\) 5.72236 + 19.2939i 0.284346 + 0.958722i
\(406\) 0.0166833 0.000827980
\(407\) −0.302116 + 3.45320i −0.0149753 + 0.171169i
\(408\) −5.08443 + 19.7134i −0.251717 + 0.975957i
\(409\) 13.3695 + 2.35741i 0.661081 + 0.116566i 0.494115 0.869396i \(-0.335492\pi\)
0.166965 + 0.985963i \(0.446603\pi\)
\(410\) −3.31556 5.89153i −0.163744 0.290962i
\(411\) 16.8358 + 5.94944i 0.830449 + 0.293464i
\(412\) −12.7515 + 18.2111i −0.628222 + 0.897195i
\(413\) −0.461102 + 1.72085i −0.0226893 + 0.0846777i
\(414\) −0.0993966 5.29610i −0.00488508 0.260289i
\(415\) −22.3451 8.41259i −1.09688 0.412958i
\(416\) −10.3361 + 28.3982i −0.506769 + 1.39234i
\(417\) 1.24091 2.72767i 0.0607677 0.133575i
\(418\) −0.353285 + 0.0309084i −0.0172797 + 0.00151178i
\(419\) 9.78730 + 8.21252i 0.478141 + 0.401208i 0.849754 0.527180i \(-0.176751\pi\)
−0.371613 + 0.928388i \(0.621195\pi\)
\(420\) 6.81641 + 25.6054i 0.332607 + 1.24942i
\(421\) 16.9246 + 6.16004i 0.824853 + 0.300222i 0.719745 0.694239i \(-0.244259\pi\)
0.105108 + 0.994461i \(0.466481\pi\)
\(422\) −3.60343 13.4482i −0.175412 0.654648i
\(423\) −14.8824 30.4121i −0.723608 1.47869i
\(424\) −11.1122 + 6.41562i −0.539656 + 0.311570i
\(425\) 7.14674 24.5015i 0.346668 1.18850i
\(426\) −0.541105 0.632711i −0.0262166 0.0306549i
\(427\) −8.97778 4.18641i −0.434465 0.202595i
\(428\) −5.27058 + 3.69050i −0.254763 + 0.178387i
\(429\) −3.69410 2.08682i −0.178353 0.100753i
\(430\) −0.208541 2.72930i −0.0100568 0.131618i
\(431\) 4.80209i 0.231309i −0.993290 0.115654i \(-0.963104\pi\)
0.993290 0.115654i \(-0.0368965\pi\)
\(432\) −7.89121 + 3.95383i −0.379666 + 0.190229i
\(433\) 23.6615 23.6615i 1.13710 1.13710i 0.148130 0.988968i \(-0.452675\pi\)
0.988968 0.148130i \(-0.0473253\pi\)
\(434\) −4.72616 + 3.96572i −0.226863 + 0.190360i
\(435\) −0.00402129 0.0230244i −0.000192806 0.00110394i
\(436\) 1.83198 10.3897i 0.0877360 0.497576i
\(437\) 1.39192 2.98497i 0.0665844 0.142791i
\(438\) −10.5344 7.22994i −0.503355 0.345460i
\(439\) −0.531654 + 0.0937450i −0.0253745 + 0.00447420i −0.186321 0.982489i \(-0.559656\pi\)
0.160947 + 0.986963i \(0.448545\pi\)
\(440\) 1.50777 + 1.83758i 0.0718799 + 0.0876034i
\(441\) −5.37890 + 34.2519i −0.256138 + 1.63104i
\(442\) 16.7894 4.49871i 0.798591 0.213982i
\(443\) −2.19821 4.71408i −0.104440 0.223973i 0.847142 0.531366i \(-0.178321\pi\)
−0.951583 + 0.307393i \(0.900543\pi\)
\(444\) 3.39569 20.3740i 0.161152 0.966906i
\(445\) −7.05882 27.5534i −0.334620 1.30616i
\(446\) 4.53516 5.40479i 0.214746 0.255924i
\(447\) 6.47215 4.62295i 0.306122 0.218658i
\(448\) 1.00620 0.469199i 0.0475385 0.0221676i
\(449\) −6.99817 + 12.1212i −0.330264 + 0.572034i −0.982564 0.185927i \(-0.940471\pi\)
0.652300 + 0.757961i \(0.273804\pi\)
\(450\) −8.73737 + 4.03982i −0.411883 + 0.190439i
\(451\) 1.08745 + 1.88352i 0.0512060 + 0.0886914i
\(452\) 9.13819 + 6.39863i 0.429824 + 0.300966i
\(453\) −4.34257 + 6.32738i −0.204032 + 0.297286i
\(454\) 2.17201 + 5.96755i 0.101937 + 0.280071i
\(455\) 36.5371 35.7415i 1.71289 1.67559i
\(456\) 4.77403 0.0447952i 0.223564 0.00209773i
\(457\) 3.82420 + 0.334574i 0.178888 + 0.0156507i 0.176248 0.984346i \(-0.443604\pi\)
0.00264047 + 0.999997i \(0.499160\pi\)
\(458\) 4.41318 + 4.41318i 0.206214 + 0.206214i
\(459\) 23.3344 + 12.6101i 1.08916 + 0.588591i
\(460\) −9.64056 + 1.59069i −0.449493 + 0.0741664i
\(461\) −14.3235 17.0701i −0.667111 0.795032i 0.321276 0.946985i \(-0.395888\pi\)
−0.988388 + 0.151953i \(0.951444\pi\)
\(462\) 0.592122 + 2.12970i 0.0275480 + 0.0990824i
\(463\) 0.684383 + 0.977400i 0.0318060 + 0.0454236i 0.834740 0.550644i \(-0.185618\pi\)
−0.802934 + 0.596068i \(0.796729\pi\)
\(464\) 0.00963277 0.00350604i 0.000447190 0.000162764i
\(465\) 6.61220 + 5.56661i 0.306633 + 0.258145i
\(466\) 1.12747 + 6.39418i 0.0522289 + 0.296205i
\(467\) 0.869824 + 0.233069i 0.0402506 + 0.0107851i 0.278888 0.960324i \(-0.410034\pi\)
−0.238638 + 0.971109i \(0.576701\pi\)
\(468\) 20.9776 + 14.1096i 0.969691 + 0.652215i
\(469\) 21.8935 + 12.6402i 1.01095 + 0.583672i
\(470\) 13.3678 9.14263i 0.616610 0.421718i
\(471\) 0.916343 1.11310i 0.0422229 0.0512890i
\(472\) −0.0829988 0.948680i −0.00382033 0.0436665i
\(473\) 0.0767499 + 0.877255i 0.00352896 + 0.0403362i
\(474\) −0.613295 1.63706i −0.0281696 0.0751925i
\(475\) −5.98379 0.131739i −0.274555 0.00604462i
\(476\) 30.2439 + 17.4613i 1.38623 + 0.800338i
\(477\) 4.62891 + 16.0634i 0.211943 + 0.735490i
\(478\) −1.98020 0.530593i −0.0905722 0.0242687i
\(479\) 5.10504 + 28.9521i 0.233255 + 1.32286i 0.846257 + 0.532775i \(0.178851\pi\)
−0.613001 + 0.790082i \(0.710038\pi\)
\(480\) −12.6227 18.0896i −0.576147 0.825673i
\(481\) −37.4398 + 13.6270i −1.70711 + 0.621336i
\(482\) 7.46386 + 10.6595i 0.339969 + 0.485527i
\(483\) −19.8786 5.12704i −0.904507 0.233288i
\(484\) 11.0119 + 13.1234i 0.500539 + 0.596519i
\(485\) −3.11864 18.9008i −0.141610 0.858243i
\(486\) −2.19724 9.75944i −0.0996686 0.442697i
\(487\) 22.6006 + 22.6006i 1.02413 + 1.02413i 0.999702 + 0.0244298i \(0.00777702\pi\)
0.0244298 + 0.999702i \(0.492223\pi\)
\(488\) 5.27488 + 0.461492i 0.238783 + 0.0208908i
\(489\) 12.6416 + 21.4289i 0.571671 + 0.969050i
\(490\) −16.5833 0.182527i −0.749158 0.00824575i
\(491\) −4.34237 11.9306i −0.195968 0.538419i 0.802320 0.596894i \(-0.203599\pi\)
−0.998289 + 0.0584746i \(0.981376\pi\)
\(492\) −5.58687 11.6934i −0.251875 0.527177i
\(493\) −0.0252339 0.0176690i −0.00113648 0.000795772i
\(494\) −2.03808 3.53005i −0.0916974 0.158824i
\(495\) 2.79643 1.33051i 0.125690 0.0598021i
\(496\) −1.89542 + 3.28297i −0.0851071 + 0.147410i
\(497\) −2.92426 + 1.36361i −0.131171 + 0.0611661i
\(498\) 10.8032 + 4.91475i 0.484103 + 0.220235i
\(499\) 7.76871 9.25839i 0.347775 0.414463i −0.563594 0.826052i \(-0.690582\pi\)
0.911369 + 0.411589i \(0.135026\pi\)
\(500\) 9.69886 + 14.8734i 0.433746 + 0.665158i
\(501\) −30.0038 24.7002i −1.34047 1.10352i
\(502\) −3.85341 8.26367i −0.171986 0.368825i
\(503\) 21.0910 5.65132i 0.940402 0.251980i 0.244117 0.969746i \(-0.421502\pi\)
0.696285 + 0.717766i \(0.254835\pi\)
\(504\) −5.71650 29.2042i −0.254633 1.30086i
\(505\) −34.9314 3.44389i −1.55443 0.153251i
\(506\) −0.802737 + 0.141544i −0.0356860 + 0.00629241i
\(507\) 2.04235 26.1701i 0.0907041 1.16225i
\(508\) −5.62760 + 12.0684i −0.249684 + 0.535450i
\(509\) 0.934268 5.29850i 0.0414107 0.234852i −0.957077 0.289835i \(-0.906399\pi\)
0.998487 + 0.0549834i \(0.0175106\pi\)
\(510\) −4.35854 + 11.9148i −0.193000 + 0.527596i
\(511\) −37.9326 + 31.8293i −1.67804 + 1.40804i
\(512\) 12.3723 12.3723i 0.546785 0.546785i
\(513\) 1.44013 6.05103i 0.0635834 0.267160i
\(514\) 18.1571i 0.800876i
\(515\) −20.3826 + 23.7551i −0.898165 + 1.04677i
\(516\) −0.0492331 5.24699i −0.00216736 0.230986i
\(517\) −4.26794 + 2.98844i −0.187704 + 0.131432i
\(518\) 18.8130 + 8.77266i 0.826597 + 0.385449i
\(519\) −3.93293 + 0.731596i −0.172637 + 0.0321135i
\(520\) −11.8182 + 24.6327i −0.518261 + 1.08021i
\(521\) −2.74885 + 1.58705i −0.120429 + 0.0695300i −0.559005 0.829165i \(-0.688817\pi\)
0.438575 + 0.898694i \(0.355483\pi\)
\(522\) 0.00122962 + 0.0115532i 5.38190e−5 + 0.000505669i
\(523\) 3.10969 + 11.6055i 0.135977 + 0.507473i 0.999992 + 0.00400710i \(0.00127550\pi\)
−0.864015 + 0.503466i \(0.832058\pi\)
\(524\) −17.0706 6.21317i −0.745731 0.271424i
\(525\) 6.01373 + 36.8188i 0.262461 + 1.60691i
\(526\) 2.58051 + 2.16530i 0.112515 + 0.0944116i
\(527\) 11.3484 0.992860i 0.494346 0.0432496i
\(528\) 0.789445 + 1.10523i 0.0343562 + 0.0480988i
\(529\) −5.27731 + 14.4993i −0.229448 + 0.630404i
\(530\) −7.28373 + 3.29935i −0.316385 + 0.143315i
\(531\) −1.22567 0.192479i −0.0531897 0.00835288i
\(532\) 2.11964 7.91060i 0.0918980 0.342968i
\(533\) −14.3384 + 20.4773i −0.621064 + 0.886972i
\(534\) 2.58572 + 13.9004i 0.111895 + 0.601528i
\(535\) −7.89473 + 4.44289i −0.341319 + 0.192083i
\(536\) −13.3080 2.34655i −0.574817 0.101356i
\(537\) −25.6857 25.2082i −1.10842 1.08781i
\(538\) −0.628343 + 7.18199i −0.0270898 + 0.309638i
\(539\) 5.33536 0.229810
\(540\) −17.2293 + 6.60756i −0.741431 + 0.284344i
\(541\) 33.7781 1.45223 0.726116 0.687572i \(-0.241324\pi\)
0.726116 + 0.687572i \(0.241324\pi\)
\(542\) −0.860619 + 9.83692i −0.0369668 + 0.422532i
\(543\) 5.38959 1.49847i 0.231289 0.0643057i
\(544\) −28.6306 5.04834i −1.22753 0.216446i
\(545\) 4.00214 14.3045i 0.171433 0.612739i
\(546\) −19.3089 + 16.5133i −0.826345 + 0.706704i
\(547\) −8.22365 + 11.7446i −0.351618 + 0.502162i −0.955532 0.294887i \(-0.904718\pi\)
0.603914 + 0.797049i \(0.293607\pi\)
\(548\) −4.23759 + 15.8149i −0.181021 + 0.675579i
\(549\) 2.23739 6.52565i 0.0954894 0.278508i
\(550\) 0.822717 + 1.23181i 0.0350808 + 0.0525244i
\(551\) −0.00247076 + 0.00678836i −0.000105258 + 0.000289194i
\(552\) 10.9223 1.05893i 0.464884 0.0450711i
\(553\) −6.74939 + 0.590495i −0.287013 + 0.0251104i
\(554\) −8.07250 6.77363i −0.342968 0.287784i
\(555\) 7.57238 28.0781i 0.321430 1.19185i
\(556\) 2.58203 + 0.939783i 0.109503 + 0.0398557i
\(557\) −2.61958 9.77642i −0.110995 0.414240i 0.887961 0.459919i \(-0.152122\pi\)
−0.998956 + 0.0456789i \(0.985455\pi\)
\(558\) −3.09459 2.98057i −0.131004 0.126177i
\(559\) −8.76560 + 5.06082i −0.370745 + 0.214050i
\(560\) −15.4360 + 5.42661i −0.652291 + 0.229316i
\(561\) 1.35992 3.84832i 0.0574159 0.162476i
\(562\) 5.61224 + 2.61703i 0.236738 + 0.110393i
\(563\) −23.0577 + 16.1451i −0.971765 + 0.680437i −0.947663 0.319273i \(-0.896561\pi\)
−0.0241016 + 0.999710i \(0.507673\pi\)
\(564\) 26.7395 15.7744i 1.12594 0.664223i
\(565\) 11.9201 + 10.2279i 0.501484 + 0.430289i
\(566\) 9.95976i 0.418640i
\(567\) −38.7224 1.92745i −1.62619 0.0809453i
\(568\) 1.21955 1.21955i 0.0511713 0.0511713i
\(569\) 7.66040 6.42784i 0.321141 0.269469i −0.467938 0.883761i \(-0.655003\pi\)
0.789078 + 0.614292i \(0.210558\pi\)
\(570\) 2.96345 + 0.264117i 0.124125 + 0.0110626i
\(571\) 4.25288 24.1193i 0.177978 1.00936i −0.756673 0.653794i \(-0.773176\pi\)
0.934651 0.355568i \(-0.115712\pi\)
\(572\) 1.64413 3.52584i 0.0687444 0.147423i
\(573\) 0.721374 0.344659i 0.0301358 0.0143983i
\(574\) 12.8261 2.26159i 0.535353 0.0943971i
\(575\) −13.7277 + 0.897060i −0.572485 + 0.0374100i
\(576\) 0.399080 + 0.662211i 0.0166283 + 0.0275921i
\(577\) 15.4493 4.13963i 0.643163 0.172335i 0.0775272 0.996990i \(-0.475298\pi\)
0.565636 + 0.824655i \(0.308631\pi\)
\(578\) 2.45606 + 5.26705i 0.102159 + 0.219080i
\(579\) 3.69003 1.38240i 0.153352 0.0574508i
\(580\) 0.0207609 0.00531867i 0.000862049 0.000220846i
\(581\) 29.5668 35.2364i 1.22664 1.46185i
\(582\) 0.918905 + 9.47800i 0.0380898 + 0.392876i
\(583\) 2.33143 1.08716i 0.0965581 0.0450258i
\(584\) 13.2344 22.9227i 0.547643 0.948546i
\(585\) 27.4439 + 22.6676i 1.13466 + 0.937190i
\(586\) −3.09532 5.36125i −0.127867 0.221471i
\(587\) −16.2765 11.3970i −0.671805 0.470403i 0.187233 0.982316i \(-0.440048\pi\)
−0.859037 + 0.511913i \(0.828937\pi\)
\(588\) −31.6952 2.47354i −1.30709 0.102007i
\(589\) −0.913697 2.51036i −0.0376482 0.103438i
\(590\) 0.00653158 0.593419i 0.000268901 0.0244307i
\(591\) 22.7482 40.2689i 0.935735 1.65644i
\(592\) 12.7060 + 1.11163i 0.522214 + 0.0456878i
\(593\) 24.0438 + 24.0438i 0.987362 + 0.987362i 0.999921 0.0125593i \(-0.00399784\pi\)
−0.0125593 + 0.999921i \(0.503998\pi\)
\(594\) −1.43117 + 0.567010i −0.0587216 + 0.0232647i
\(595\) 39.9644 + 28.6440i 1.63838 + 1.17429i
\(596\) 4.68781 + 5.58672i 0.192020 + 0.228841i
\(597\) −28.9337 + 29.4819i −1.18418 + 1.20661i
\(598\) −5.37382 7.67460i −0.219752 0.313838i
\(599\) 32.8027 11.9392i 1.34028 0.487823i 0.430381 0.902647i \(-0.358379\pi\)
0.909901 + 0.414825i \(0.136157\pi\)
\(600\) −9.75195 17.3946i −0.398122 0.710131i
\(601\) −4.52626 25.6697i −0.184630 1.04709i −0.926430 0.376467i \(-0.877139\pi\)
0.741800 0.670621i \(-0.233972\pi\)
\(602\) 5.09367 + 1.36484i 0.207602 + 0.0556269i
\(603\) −7.13971 + 16.0929i −0.290752 + 0.655352i
\(604\) −6.09398 3.51836i −0.247961 0.143160i
\(605\) 13.6165 + 19.9092i 0.553589 + 0.809423i
\(606\) 17.2108 + 2.86849i 0.699141 + 0.116524i
\(607\) −0.312022 3.56643i −0.0126646 0.144757i 0.987230 0.159304i \(-0.0509249\pi\)
−0.999894 + 0.0145470i \(0.995369\pi\)
\(608\) 0.594201 + 6.79175i 0.0240980 + 0.275442i
\(609\) 0.0444155 + 0.00740266i 0.00179981 + 0.000299971i
\(610\) 3.24311 + 0.608726i 0.131310 + 0.0246466i
\(611\) −51.8625 29.9428i −2.09813 1.21136i
\(612\) −9.86285 + 22.2308i −0.398682 + 0.898627i
\(613\) −17.6112 4.71891i −0.711310 0.190595i −0.115019 0.993363i \(-0.536693\pi\)
−0.596291 + 0.802768i \(0.703360\pi\)
\(614\) −0.488558 2.77075i −0.0197166 0.111818i
\(615\) −6.21276 17.1560i −0.250523 0.691798i
\(616\) −4.30313 + 1.56621i −0.173378 + 0.0631044i
\(617\) 1.76647 + 2.52278i 0.0711153 + 0.101563i 0.853134 0.521692i \(-0.174699\pi\)
−0.782019 + 0.623255i \(0.785810\pi\)
\(618\) 10.8984 11.1049i 0.438400 0.446705i
\(619\) −22.9284 27.3250i −0.921572 1.09829i −0.994889 0.100978i \(-0.967803\pi\)
0.0733171 0.997309i \(-0.476641\pi\)
\(620\) −4.61699 + 6.44168i −0.185423 + 0.258704i
\(621\) 2.08534 14.1438i 0.0836820 0.567570i
\(622\) 3.76282 + 3.76282i 0.150875 + 0.150875i
\(623\) 54.5877 + 4.77580i 2.18701 + 0.191339i
\(624\) −7.67844 + 13.5924i −0.307383 + 0.544131i
\(625\) 11.5350 + 22.1798i 0.461401 + 0.887192i
\(626\) −2.27197 6.24218i −0.0908062 0.249488i
\(627\) −0.954254 0.0744714i −0.0381092 0.00297410i
\(628\) 1.08292 + 0.758266i 0.0432130 + 0.0302581i
\(629\) −19.1642 33.1934i −0.764127 1.32351i
\(630\) −1.75958 18.4611i −0.0701035 0.735508i
\(631\) 0.459598 0.796047i 0.0182963 0.0316901i −0.856732 0.515761i \(-0.827509\pi\)
0.875029 + 0.484071i \(0.160842\pi\)
\(632\) 3.28225 1.53054i 0.130561 0.0608815i
\(633\) −3.62614 37.4016i −0.144126 1.48658i
\(634\) −0.560241 + 0.667669i −0.0222500 + 0.0265165i
\(635\) −9.55230 + 16.1324i −0.379072 + 0.640194i
\(636\) −14.3541 + 5.37751i −0.569177 + 0.213232i
\(637\) 25.9168 + 55.5788i 1.02686 + 2.20211i
\(638\) 0.00172695 0.000462735i 6.83707e−5 1.83199e-5i
\(639\) −1.15982 1.92454i −0.0458819 0.0761338i
\(640\) 19.4048 15.9219i 0.767041 0.629369i
\(641\) 28.1175 4.95787i 1.11057 0.195824i 0.411875 0.911240i \(-0.364874\pi\)
0.698699 + 0.715416i \(0.253763\pi\)
\(642\) 4.06320 1.94132i 0.160362 0.0766178i
\(643\) 16.0061 34.3252i 0.631220 1.35365i −0.287133 0.957891i \(-0.592702\pi\)
0.918352 0.395764i \(-0.129520\pi\)
\(644\) 3.26871 18.5378i 0.128805 0.730492i
\(645\) 0.655839 7.35866i 0.0258236 0.289747i
\(646\) 3.00385 2.52053i 0.118185 0.0991688i
\(647\) −30.2410 + 30.2410i −1.18890 + 1.18890i −0.211525 + 0.977373i \(0.567843\pi\)
−0.977373 + 0.211525i \(0.932157\pi\)
\(648\) 19.8025 6.11112i 0.777917 0.240067i
\(649\) 0.190921i 0.00749431i
\(650\) −8.83540 + 14.5539i −0.346553 + 0.570849i
\(651\) −14.3420 + 8.46074i −0.562105 + 0.331602i
\(652\) −18.6874 + 13.0851i −0.731856 + 0.512451i
\(653\) −33.1747 15.4696i −1.29823 0.605374i −0.354178 0.935178i \(-0.615239\pi\)
−0.944049 + 0.329804i \(0.893017\pi\)
\(654\) −2.46016 + 6.96178i −0.0961998 + 0.272227i
\(655\) −23.0603 11.0638i −0.901039 0.432298i
\(656\) 6.93039 4.00126i 0.270586 0.156223i
\(657\) −24.8375 23.9224i −0.969002 0.933300i
\(658\) 8.07523 + 30.1372i 0.314805 + 1.17487i
\(659\) 29.4659 + 10.7247i 1.14783 + 0.417776i 0.844735 0.535184i \(-0.179758\pi\)
0.303095 + 0.952960i \(0.401980\pi\)
\(660\) 1.41579 + 2.46144i 0.0551096 + 0.0958115i
\(661\) 3.28171 + 2.75368i 0.127644 + 0.107106i 0.704375 0.709828i \(-0.251227\pi\)
−0.576731 + 0.816934i \(0.695672\pi\)
\(662\) 4.56634 0.399503i 0.177476 0.0155271i
\(663\) 46.6941 4.52706i 1.81345 0.175816i
\(664\) −8.40938 + 23.1046i −0.326347 + 0.896632i
\(665\) 4.06272 10.7912i 0.157546 0.418465i
\(666\) −4.68847 + 13.6746i −0.181674 + 0.529879i
\(667\) −0.00429751 + 0.0160385i −0.000166400 + 0.000621014i
\(668\) 20.4392 29.1901i 0.790815 1.12940i
\(669\) 14.4720 12.3767i 0.559520 0.478511i
\(670\) −8.10974 2.26895i −0.313307 0.0876573i
\(671\) −1.04544 0.184339i −0.0403587 0.00711633i
\(672\) 40.9425 11.3833i 1.57939 0.439120i
\(673\) 2.48234 28.3733i 0.0956872 1.09371i −0.784835 0.619705i \(-0.787252\pi\)
0.880522 0.474005i \(-0.157192\pi\)
\(674\) 18.4533 0.710793
\(675\) −25.0538 + 6.87817i −0.964320 + 0.264741i
\(676\) 24.0691 0.925735
\(677\) −3.71607 + 42.4749i −0.142820 + 1.63244i 0.499717 + 0.866189i \(0.333437\pi\)
−0.642537 + 0.766255i \(0.722118\pi\)
\(678\) −5.57237 5.46877i −0.214006 0.210027i
\(679\) 36.3444 + 6.40849i 1.39477 + 0.245935i
\(680\) −25.3107 7.08146i −0.970623 0.271562i
\(681\) 3.13458 + 16.8510i 0.120118 + 0.645731i
\(682\) −0.379227 + 0.541592i −0.0145213 + 0.0207386i
\(683\) −4.42899 + 16.5292i −0.169471 + 0.632473i 0.827957 + 0.560792i \(0.189503\pi\)
−0.997428 + 0.0716812i \(0.977164\pi\)
\(684\) 5.63430 + 0.884807i 0.215433 + 0.0338314i
\(685\) −8.12222 + 21.5738i −0.310334 + 0.824293i
\(686\) 4.30892 11.8386i 0.164515 0.452002i
\(687\) 9.79087 + 13.7073i 0.373545 + 0.522965i
\(688\) 3.22785 0.282400i 0.123061 0.0107664i
\(689\) 22.6501 + 19.0057i 0.862901 + 0.724060i
\(690\) 6.83844 + 0.0111016i 0.260335 + 0.000422632i
\(691\) −28.7479 10.4634i −1.09362 0.398045i −0.268660 0.963235i \(-0.586581\pi\)
−0.824961 + 0.565190i \(0.808803\pi\)
\(692\) −0.949372 3.54310i −0.0360897 0.134689i
\(693\) 0.631410 + 5.93256i 0.0239853 + 0.225359i
\(694\) 16.3892 9.46233i 0.622127 0.359185i
\(695\) 3.48802 + 1.67347i 0.132308 + 0.0634783i
\(696\) −0.0236632 + 0.00440177i −0.000896951 + 0.000166849i
\(697\) −21.7951 10.1632i −0.825547 0.384959i
\(698\) 10.8280 7.58187i 0.409847 0.286978i
\(699\) 0.164423 + 17.5233i 0.00621905 + 0.662792i
\(700\) −33.2290 + 8.12418i −1.25594 + 0.307065i
\(701\) 33.1045i 1.25034i 0.780488 + 0.625171i \(0.214971\pi\)
−0.780488 + 0.625171i \(0.785029\pi\)
\(702\) −12.8586 12.1543i −0.485315 0.458734i
\(703\) −6.35572 + 6.35572i −0.239710 + 0.239710i
\(704\) 0.0911416 0.0764768i 0.00343503 0.00288233i
\(705\) 39.6454 18.4087i 1.49313 0.693310i
\(706\) −0.195420 + 1.10828i −0.00735472 + 0.0417107i
\(707\) 28.5783 61.2863i 1.07480 2.30491i
\(708\) 0.0885133 1.13418i 0.00332653 0.0426252i
\(709\) −36.6991 + 6.47105i −1.37827 + 0.243025i −0.813182 0.582009i \(-0.802267\pi\)
−0.565083 + 0.825034i \(0.691156\pi\)
\(710\) 0.830898 0.681765i 0.0311831 0.0255862i
\(711\) −0.906370 4.63042i −0.0339915 0.173654i
\(712\) −28.2924 + 7.58092i −1.06030 + 0.284107i
\(713\) −2.59502 5.56503i −0.0971841 0.208412i
\(714\) −18.8699 15.5344i −0.706189 0.581359i
\(715\) 2.79074 4.71314i 0.104368 0.176262i
\(716\) 21.2116 25.2790i 0.792716 0.944722i
\(717\) −5.03639 2.29123i −0.188087 0.0855674i
\(718\) −10.9533 + 5.10759i −0.408772 + 0.190614i
\(719\) −21.5770 + 37.3725i −0.804687 + 1.39376i 0.111816 + 0.993729i \(0.464333\pi\)
−0.916502 + 0.400029i \(0.869000\pi\)
\(720\) −4.89561 10.2895i −0.182449 0.383465i
\(721\) −30.1509 52.2229i −1.12288 1.94488i
\(722\) 9.23470 + 6.46621i 0.343680 + 0.240647i
\(723\) 15.1410 + 31.6903i 0.563101 + 1.17857i
\(724\) 1.75433 + 4.82000i 0.0651993 + 0.179134i
\(725\) 0.0298240 0.00458438i 0.00110764 0.000170260i
\(726\) −6.09211 10.3268i −0.226099 0.383265i
\(727\) 6.75332 + 0.590839i 0.250467 + 0.0219130i 0.211698 0.977335i \(-0.432101\pi\)
0.0387690 + 0.999248i \(0.487656\pi\)
\(728\) −37.2180 37.2180i −1.37939 1.37939i
\(729\) −1.51922 26.9572i −0.0562673 0.998416i
\(730\) 9.60915 13.4068i 0.355651 0.496207i
\(731\) −6.25882 7.45897i −0.231491 0.275880i
\(732\) 6.12505 + 1.57976i 0.226388 + 0.0583896i
\(733\) 14.5660 + 20.8024i 0.538006 + 0.768353i 0.992480 0.122408i \(-0.0390615\pi\)
−0.454474 + 0.890760i \(0.650173\pi\)
\(734\) −16.2116 + 5.90055i −0.598382 + 0.217793i
\(735\) −44.0683 7.84421i −1.62548 0.289338i
\(736\) 2.72113 + 15.4323i 0.100302 + 0.568841i
\(737\) 2.61687 + 0.701189i 0.0963937 + 0.0258286i
\(738\) 2.51148 + 8.71539i 0.0924489 + 0.320818i
\(739\) 31.3022 + 18.0723i 1.15147 + 0.664801i 0.949245 0.314538i \(-0.101850\pi\)
0.202224 + 0.979339i \(0.435183\pi\)
\(740\) 26.2078 + 4.91916i 0.963420 + 0.180832i
\(741\) −3.85957 10.3023i −0.141785 0.378463i
\(742\) −1.34261 15.3461i −0.0492886 0.563371i
\(743\) −3.12862 35.7603i −0.114778 1.31192i −0.807136 0.590365i \(-0.798984\pi\)
0.692358 0.721554i \(-0.256572\pi\)
\(744\) 5.65712 6.87182i 0.207400 0.251933i
\(745\) 5.79662 + 8.47546i 0.212372 + 0.310517i
\(746\) −1.75479 1.01313i −0.0642473 0.0370932i
\(747\) 26.5803 + 17.8779i 0.972522 + 0.654119i
\(748\) 3.61497 + 0.968627i 0.132176 + 0.0354165i
\(749\) −3.03056 17.1872i −0.110734 0.628006i
\(750\) −4.98432 11.3839i −0.182002 0.415680i
\(751\) 20.6234 7.50630i 0.752558 0.273909i 0.0628763 0.998021i \(-0.479973\pi\)
0.689682 + 0.724113i \(0.257750\pi\)
\(752\) 10.9959 + 15.7038i 0.400981 + 0.572660i
\(753\) −6.59210 23.7099i −0.240230 0.864038i
\(754\) 0.0132091 + 0.0157420i 0.000481047 + 0.000573290i
\(755\) −8.05261 5.77161i −0.293065 0.210051i
\(756\) −1.00054 35.5356i −0.0363892 1.29242i
\(757\) −19.9998 19.9998i −0.726906 0.726906i 0.243096 0.970002i \(-0.421837\pi\)
−0.970002 + 0.243096i \(0.921837\pi\)
\(758\) −4.66559 0.408186i −0.169462 0.0148260i
\(759\) −2.19991 + 0.0206420i −0.0798516 + 0.000749256i
\(760\) −0.0678358 + 6.16314i −0.00246066 + 0.223561i
\(761\) 17.7365 + 48.7306i 0.642947 + 1.76648i 0.642264 + 0.766484i \(0.277995\pi\)
0.000683402 1.00000i \(0.499782\pi\)
\(762\) 5.27364 7.68399i 0.191044 0.278362i
\(763\) 23.4409 + 16.4135i 0.848619 + 0.594209i
\(764\) 0.366534 + 0.634856i 0.0132607 + 0.0229683i
\(765\) −16.8904 + 29.7864i −0.610674 + 1.07693i
\(766\) 5.89884 10.2171i 0.213134 0.369159i
\(767\) −1.98884 + 0.927410i −0.0718127 + 0.0334868i
\(768\) −10.8797 + 7.77122i −0.392589 + 0.280420i
\(769\) −28.9226 + 34.4686i −1.04298 + 1.24297i −0.0736257 + 0.997286i \(0.523457\pi\)
−0.969350 + 0.245684i \(0.920987\pi\)
\(770\) −2.76444 + 0.708213i −0.0996234 + 0.0255222i