Properties

Label 570.2.bb.a.401.3
Level $570$
Weight $2$
Character 570.401
Analytic conductor $4.551$
Analytic rank $0$
Dimension $84$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bb (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 401.3
Character \(\chi\) \(=\) 570.401
Dual form 570.2.bb.a.371.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 - 0.984808i) q^{2} +(-1.51842 - 0.833305i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.342020 + 0.939693i) q^{5} +(-1.08432 + 1.35065i) q^{6} +(0.534860 + 0.926405i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.61121 + 2.53062i) q^{9} +O(q^{10})\) \(q+(0.173648 - 0.984808i) q^{2} +(-1.51842 - 0.833305i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(0.342020 + 0.939693i) q^{5} +(-1.08432 + 1.35065i) q^{6} +(0.534860 + 0.926405i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.61121 + 2.53062i) q^{9} +(0.984808 - 0.173648i) q^{10} +(-1.99229 - 1.15025i) q^{11} +(1.14184 + 1.30238i) q^{12} +(2.18233 + 2.60080i) q^{13} +(1.00521 - 0.365866i) q^{14} +(0.263720 - 1.71186i) q^{15} +(0.766044 + 0.642788i) q^{16} +(4.86311 + 0.857497i) q^{17} +(2.77195 - 1.14729i) q^{18} +(2.31542 + 3.69308i) q^{19} -1.00000i q^{20} +(-0.0401652 - 1.85238i) q^{21} +(-1.47873 + 1.76228i) q^{22} +(1.95671 - 5.37601i) q^{23} +(1.48087 - 0.898339i) q^{24} +(-0.766044 + 0.642788i) q^{25} +(2.94024 - 1.69755i) q^{26} +(-0.337714 - 5.18517i) q^{27} +(-0.185755 - 1.05347i) q^{28} +(0.777600 + 4.40999i) q^{29} +(-1.64005 - 0.556974i) q^{30} +(0.497595 - 0.287286i) q^{31} +(0.766044 - 0.642788i) q^{32} +(2.06663 + 3.40675i) q^{33} +(1.68894 - 4.64032i) q^{34} +(-0.687603 + 0.819454i) q^{35} +(-0.648517 - 2.92907i) q^{36} +1.64292i q^{37} +(4.03904 - 1.63895i) q^{38} +(-1.14644 - 5.76765i) q^{39} +(-0.984808 - 0.173648i) q^{40} +(-4.01907 - 3.37240i) q^{41} +(-1.83121 - 0.282107i) q^{42} +(8.10261 - 2.94911i) q^{43} +(1.47873 + 1.76228i) q^{44} +(-1.82694 + 2.37956i) q^{45} +(-4.95456 - 2.86051i) q^{46} +(3.87680 - 0.683585i) q^{47} +(-0.627540 - 1.61437i) q^{48} +(2.92785 - 5.07118i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-6.66969 - 5.35449i) q^{51} +(-1.16119 - 3.19035i) q^{52} +(7.98220 + 2.90528i) q^{53} +(-5.16504 - 0.567811i) q^{54} +(0.399477 - 2.26555i) q^{55} -1.06972 q^{56} +(-0.438330 - 7.53710i) q^{57} +4.47802 q^{58} +(-1.85399 + 10.5145i) q^{59} +(-0.833305 + 1.51842i) q^{60} +(-4.66073 - 1.69637i) q^{61} +(-0.196515 - 0.539922i) q^{62} +(-1.48261 + 2.84616i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.69755 + 2.94024i) q^{65} +(3.71386 - 1.44365i) q^{66} +(1.24653 - 0.219797i) q^{67} +(-4.27655 - 2.46906i) q^{68} +(-7.45096 + 6.53251i) q^{69} +(0.687603 + 0.819454i) q^{70} +(-9.44673 + 3.43833i) q^{71} +(-2.99718 + 0.130037i) q^{72} +(12.9515 + 10.8676i) q^{73} +(1.61796 + 0.285289i) q^{74} +(1.69882 - 0.337674i) q^{75} +(-0.912680 - 4.26228i) q^{76} -2.46089i q^{77} +(-5.87910 + 0.127477i) q^{78} +(-0.658285 + 0.784514i) q^{79} +(-0.342020 + 0.939693i) q^{80} +(-3.80803 + 8.15469i) q^{81} +(-4.01907 + 3.37240i) q^{82} +(-5.23286 + 3.02119i) q^{83} +(-0.595807 + 1.75440i) q^{84} +(0.857497 + 4.86311i) q^{85} +(-1.49730 - 8.49162i) q^{86} +(2.49414 - 7.34419i) q^{87} +(1.99229 - 1.15025i) q^{88} +(1.30304 - 1.09338i) q^{89} +(2.02616 + 2.21239i) q^{90} +(-1.24215 + 3.41278i) q^{91} +(-3.67741 + 4.38256i) q^{92} +(-0.994956 + 0.0215737i) q^{93} -3.93661i q^{94} +(-2.67843 + 3.43889i) q^{95} +(-1.69882 + 0.337674i) q^{96} +(-6.47839 - 1.14231i) q^{97} +(-4.48572 - 3.76397i) q^{98} +(-0.299150 - 6.89501i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{3} - 42q^{8} + 6q^{9} + O(q^{10}) \) \( 84q - 6q^{3} - 42q^{8} + 6q^{9} + 24q^{13} + 24q^{14} - 12q^{17} - 12q^{19} + 36q^{22} - 6q^{24} - 6q^{27} - 12q^{28} + 12q^{29} - 6q^{33} + 12q^{34} - 18q^{38} + 12q^{39} - 6q^{41} + 24q^{43} - 36q^{44} - 12q^{47} - 54q^{49} + 42q^{50} - 54q^{51} + 12q^{52} + 60q^{53} - 54q^{54} - 60q^{57} - 24q^{58} + 18q^{59} - 48q^{61} + 12q^{62} + 18q^{63} - 42q^{64} + 54q^{66} + 6q^{67} + 54q^{68} - 60q^{69} - 48q^{71} - 12q^{72} + 84q^{73} - 24q^{74} + 36q^{78} - 12q^{79} + 114q^{81} - 6q^{82} - 36q^{83} - 18q^{84} - 12q^{86} + 6q^{87} + 12q^{89} + 24q^{91} + 6q^{93} + 12q^{95} - 42q^{97} - 36q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{18}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 0.984808i 0.122788 0.696364i
\(3\) −1.51842 0.833305i −0.876661 0.481109i
\(4\) −0.939693 0.342020i −0.469846 0.171010i
\(5\) 0.342020 + 0.939693i 0.152956 + 0.420243i
\(6\) −1.08432 + 1.35065i −0.442670 + 0.551401i
\(7\) 0.534860 + 0.926405i 0.202158 + 0.350148i 0.949224 0.314602i \(-0.101871\pi\)
−0.747065 + 0.664751i \(0.768538\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 1.61121 + 2.53062i 0.537069 + 0.843539i
\(10\) 0.984808 0.173648i 0.311424 0.0549124i
\(11\) −1.99229 1.15025i −0.600698 0.346813i 0.168618 0.985681i \(-0.446070\pi\)
−0.769316 + 0.638868i \(0.779403\pi\)
\(12\) 1.14184 + 1.30238i 0.329621 + 0.375965i
\(13\) 2.18233 + 2.60080i 0.605269 + 0.721331i 0.978463 0.206422i \(-0.0661819\pi\)
−0.373194 + 0.927753i \(0.621737\pi\)
\(14\) 1.00521 0.365866i 0.268653 0.0977818i
\(15\) 0.263720 1.71186i 0.0680922 0.441999i
\(16\) 0.766044 + 0.642788i 0.191511 + 0.160697i
\(17\) 4.86311 + 0.857497i 1.17948 + 0.207974i 0.728808 0.684718i \(-0.240075\pi\)
0.450669 + 0.892691i \(0.351186\pi\)
\(18\) 2.77195 1.14729i 0.653356 0.270419i
\(19\) 2.31542 + 3.69308i 0.531195 + 0.847250i
\(20\) 1.00000i 0.223607i
\(21\) −0.0401652 1.85238i −0.00876476 0.404221i
\(22\) −1.47873 + 1.76228i −0.315267 + 0.375720i
\(23\) 1.95671 5.37601i 0.408002 1.12098i −0.550238 0.835008i \(-0.685463\pi\)
0.958239 0.285967i \(-0.0923149\pi\)
\(24\) 1.48087 0.898339i 0.302282 0.183373i
\(25\) −0.766044 + 0.642788i −0.153209 + 0.128558i
\(26\) 2.94024 1.69755i 0.576629 0.332917i
\(27\) −0.337714 5.18517i −0.0649931 0.997886i
\(28\) −0.185755 1.05347i −0.0351044 0.199087i
\(29\) 0.777600 + 4.40999i 0.144397 + 0.818914i 0.967850 + 0.251529i \(0.0809335\pi\)
−0.823453 + 0.567384i \(0.807955\pi\)
\(30\) −1.64005 0.556974i −0.299432 0.101689i
\(31\) 0.497595 0.287286i 0.0893706 0.0515982i −0.454649 0.890671i \(-0.650235\pi\)
0.544019 + 0.839073i \(0.316902\pi\)
\(32\) 0.766044 0.642788i 0.135419 0.113630i
\(33\) 2.06663 + 3.40675i 0.359753 + 0.593038i
\(34\) 1.68894 4.64032i 0.289651 0.795809i
\(35\) −0.687603 + 0.819454i −0.116226 + 0.138513i
\(36\) −0.648517 2.92907i −0.108086 0.488178i
\(37\) 1.64292i 0.270094i 0.990839 + 0.135047i \(0.0431185\pi\)
−0.990839 + 0.135047i \(0.956881\pi\)
\(38\) 4.03904 1.63895i 0.655219 0.265873i
\(39\) −1.14644 5.76765i −0.183577 0.923563i
\(40\) −0.984808 0.173648i −0.155712 0.0274562i
\(41\) −4.01907 3.37240i −0.627673 0.526680i 0.272532 0.962147i \(-0.412139\pi\)
−0.900205 + 0.435467i \(0.856583\pi\)
\(42\) −1.83121 0.282107i −0.282562 0.0435300i
\(43\) 8.10261 2.94911i 1.23564 0.449735i 0.360112 0.932909i \(-0.382739\pi\)
0.875524 + 0.483174i \(0.160516\pi\)
\(44\) 1.47873 + 1.76228i 0.222927 + 0.265674i
\(45\) −1.82694 + 2.37956i −0.272344 + 0.354724i
\(46\) −4.95456 2.86051i −0.730509 0.421760i
\(47\) 3.87680 0.683585i 0.565490 0.0997111i 0.116407 0.993202i \(-0.462862\pi\)
0.449082 + 0.893490i \(0.351751\pi\)
\(48\) −0.627540 1.61437i −0.0905776 0.233014i
\(49\) 2.92785 5.07118i 0.418264 0.724455i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) −6.66969 5.35449i −0.933943 0.749779i
\(52\) −1.16119 3.19035i −0.161028 0.442422i
\(53\) 7.98220 + 2.90528i 1.09644 + 0.399071i 0.826002 0.563667i \(-0.190610\pi\)
0.270437 + 0.962738i \(0.412832\pi\)
\(54\) −5.16504 0.567811i −0.702872 0.0772693i
\(55\) 0.399477 2.26555i 0.0538655 0.305486i
\(56\) −1.06972 −0.142947
\(57\) −0.438330 7.53710i −0.0580582 0.998313i
\(58\) 4.47802 0.587993
\(59\) −1.85399 + 10.5145i −0.241369 + 1.36887i 0.587406 + 0.809292i \(0.300149\pi\)
−0.828775 + 0.559582i \(0.810962\pi\)
\(60\) −0.833305 + 1.51842i −0.107579 + 0.196027i
\(61\) −4.66073 1.69637i −0.596746 0.217198i 0.0259480 0.999663i \(-0.491740\pi\)
−0.622694 + 0.782466i \(0.713962\pi\)
\(62\) −0.196515 0.539922i −0.0249575 0.0685701i
\(63\) −1.48261 + 2.84616i −0.186791 + 0.358582i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −1.69755 + 2.94024i −0.210555 + 0.364692i
\(66\) 3.71386 1.44365i 0.457144 0.177702i
\(67\) 1.24653 0.219797i 0.152288 0.0268525i −0.0969843 0.995286i \(-0.530920\pi\)
0.249272 + 0.968433i \(0.419809\pi\)
\(68\) −4.27655 2.46906i −0.518607 0.299418i
\(69\) −7.45096 + 6.53251i −0.896990 + 0.786422i
\(70\) 0.687603 + 0.819454i 0.0821843 + 0.0979434i
\(71\) −9.44673 + 3.43833i −1.12112 + 0.408054i −0.835061 0.550158i \(-0.814568\pi\)
−0.286059 + 0.958212i \(0.592345\pi\)
\(72\) −2.99718 + 0.130037i −0.353221 + 0.0153250i
\(73\) 12.9515 + 10.8676i 1.51586 + 1.27196i 0.851234 + 0.524786i \(0.175855\pi\)
0.664628 + 0.747174i \(0.268590\pi\)
\(74\) 1.61796 + 0.285289i 0.188084 + 0.0331642i
\(75\) 1.69882 0.337674i 0.196162 0.0389912i
\(76\) −0.912680 4.26228i −0.104692 0.488917i
\(77\) 2.46089i 0.280444i
\(78\) −5.87910 + 0.127477i −0.665677 + 0.0144339i
\(79\) −0.658285 + 0.784514i −0.0740629 + 0.0882647i −0.801804 0.597588i \(-0.796126\pi\)
0.727741 + 0.685852i \(0.240570\pi\)
\(80\) −0.342020 + 0.939693i −0.0382390 + 0.105061i
\(81\) −3.80803 + 8.15469i −0.423115 + 0.906076i
\(82\) −4.01907 + 3.37240i −0.443832 + 0.372419i
\(83\) −5.23286 + 3.02119i −0.574381 + 0.331619i −0.758897 0.651211i \(-0.774261\pi\)
0.184516 + 0.982829i \(0.440928\pi\)
\(84\) −0.595807 + 1.75440i −0.0650078 + 0.191421i
\(85\) 0.857497 + 4.86311i 0.0930086 + 0.527478i
\(86\) −1.49730 8.49162i −0.161458 0.915675i
\(87\) 2.49414 7.34419i 0.267400 0.787380i
\(88\) 1.99229 1.15025i 0.212379 0.122617i
\(89\) 1.30304 1.09338i 0.138121 0.115898i −0.571109 0.820874i \(-0.693487\pi\)
0.709231 + 0.704976i \(0.249042\pi\)
\(90\) 2.02616 + 2.21239i 0.213577 + 0.233206i
\(91\) −1.24215 + 3.41278i −0.130213 + 0.357757i
\(92\) −3.67741 + 4.38256i −0.383396 + 0.456914i
\(93\) −0.994956 + 0.0215737i −0.103172 + 0.00223709i
\(94\) 3.93661i 0.406030i
\(95\) −2.67843 + 3.43889i −0.274802 + 0.352823i
\(96\) −1.69882 + 0.337674i −0.173385 + 0.0344637i
\(97\) −6.47839 1.14231i −0.657781 0.115984i −0.165212 0.986258i \(-0.552831\pi\)
−0.492569 + 0.870274i \(0.663942\pi\)
\(98\) −4.48572 3.76397i −0.453127 0.380218i
\(99\) −0.299150 6.89501i −0.0300657 0.692974i
\(100\) 0.939693 0.342020i 0.0939693 0.0342020i
\(101\) 6.63259 + 7.90442i 0.659968 + 0.786519i 0.987381 0.158362i \(-0.0506214\pi\)
−0.327413 + 0.944881i \(0.606177\pi\)
\(102\) −6.43133 + 5.63856i −0.636796 + 0.558301i
\(103\) 6.75068 + 3.89751i 0.665165 + 0.384033i 0.794242 0.607602i \(-0.207868\pi\)
−0.129077 + 0.991635i \(0.541202\pi\)
\(104\) −3.34352 + 0.589553i −0.327859 + 0.0578104i
\(105\) 1.72693 0.671292i 0.168531 0.0655114i
\(106\) 4.24724 7.35643i 0.412528 0.714520i
\(107\) 3.40077 + 5.89031i 0.328765 + 0.569438i 0.982267 0.187487i \(-0.0600343\pi\)
−0.653502 + 0.756925i \(0.726701\pi\)
\(108\) −1.45608 + 4.98797i −0.140112 + 0.479967i
\(109\) 4.70458 + 12.9257i 0.450617 + 1.23806i 0.932291 + 0.361710i \(0.117807\pi\)
−0.481673 + 0.876351i \(0.659971\pi\)
\(110\) −2.16176 0.786817i −0.206116 0.0750200i
\(111\) 1.36905 2.49464i 0.129945 0.236781i
\(112\) −0.185755 + 1.05347i −0.0175522 + 0.0995435i
\(113\) −15.8695 −1.49288 −0.746440 0.665453i \(-0.768239\pi\)
−0.746440 + 0.665453i \(0.768239\pi\)
\(114\) −7.49871 0.877133i −0.702318 0.0821510i
\(115\) 5.72103 0.533489
\(116\) 0.777600 4.40999i 0.0721983 0.409457i
\(117\) −3.06544 + 9.71305i −0.283400 + 0.897972i
\(118\) 10.0328 + 3.65165i 0.923598 + 0.336162i
\(119\) 1.80669 + 4.96385i 0.165619 + 0.455035i
\(120\) 1.35065 + 1.08432i 0.123297 + 0.0989841i
\(121\) −2.85386 4.94302i −0.259441 0.449366i
\(122\) −2.47992 + 4.29536i −0.224522 + 0.388883i
\(123\) 3.29240 + 8.46983i 0.296866 + 0.763699i
\(124\) −0.565844 + 0.0997735i −0.0508143 + 0.00895993i
\(125\) −0.866025 0.500000i −0.0774597 0.0447214i
\(126\) 2.54546 + 1.95431i 0.226768 + 0.174104i
\(127\) −9.20017 10.9643i −0.816383 0.972928i 0.183566 0.983007i \(-0.441236\pi\)
−0.999949 + 0.0100797i \(0.996791\pi\)
\(128\) −0.939693 + 0.342020i −0.0830579 + 0.0302306i
\(129\) −14.7607 2.27395i −1.29961 0.200211i
\(130\) 2.60080 + 2.18233i 0.228105 + 0.191403i
\(131\) −10.1223 1.78484i −0.884390 0.155942i −0.287037 0.957920i \(-0.592670\pi\)
−0.597354 + 0.801978i \(0.703781\pi\)
\(132\) −0.776818 3.90812i −0.0676133 0.340158i
\(133\) −2.18286 + 4.12030i −0.189278 + 0.357275i
\(134\) 1.26576i 0.109345i
\(135\) 4.75696 2.09078i 0.409414 0.179946i
\(136\) −3.17417 + 3.78283i −0.272183 + 0.324375i
\(137\) 3.88439 10.6723i 0.331866 0.911794i −0.655760 0.754969i \(-0.727652\pi\)
0.987626 0.156825i \(-0.0501260\pi\)
\(138\) 5.13942 + 8.47212i 0.437497 + 0.721195i
\(139\) 4.41721 3.70648i 0.374663 0.314379i −0.435940 0.899976i \(-0.643584\pi\)
0.810603 + 0.585596i \(0.199140\pi\)
\(140\) 0.926405 0.534860i 0.0782955 0.0452039i
\(141\) −6.45625 2.19259i −0.543715 0.184649i
\(142\) 1.74568 + 9.90027i 0.146495 + 0.830812i
\(143\) −1.35627 7.69176i −0.113417 0.643217i
\(144\) −0.392393 + 2.97423i −0.0326994 + 0.247852i
\(145\) −3.87808 + 2.23901i −0.322057 + 0.185940i
\(146\) 12.9515 10.8676i 1.07188 0.899411i
\(147\) −8.67155 + 5.26040i −0.715217 + 0.433871i
\(148\) 0.561911 1.54384i 0.0461888 0.126903i
\(149\) −12.8884 + 15.3598i −1.05586 + 1.25832i −0.0909162 + 0.995859i \(0.528980\pi\)
−0.964942 + 0.262464i \(0.915465\pi\)
\(150\) −0.0375473 1.73164i −0.00306573 0.141388i
\(151\) 13.3501i 1.08642i −0.839598 0.543208i \(-0.817209\pi\)
0.839598 0.543208i \(-0.182791\pi\)
\(152\) −4.35601 + 0.158678i −0.353319 + 0.0128705i
\(153\) 5.66547 + 13.6883i 0.458026 + 1.10663i
\(154\) −2.42350 0.427329i −0.195291 0.0344352i
\(155\) 0.440148 + 0.369328i 0.0353536 + 0.0296652i
\(156\) −0.895355 + 5.81192i −0.0716858 + 0.465326i
\(157\) 17.4700 6.35856i 1.39426 0.507468i 0.467789 0.883840i \(-0.345051\pi\)
0.926468 + 0.376372i \(0.122829\pi\)
\(158\) 0.658285 + 0.784514i 0.0523704 + 0.0624126i
\(159\) −9.69935 11.0630i −0.769209 0.877357i
\(160\) 0.866025 + 0.500000i 0.0684653 + 0.0395285i
\(161\) 6.02693 1.06271i 0.474988 0.0837533i
\(162\) 7.36954 + 5.16623i 0.579006 + 0.405897i
\(163\) 4.98443 8.63328i 0.390411 0.676211i −0.602093 0.798426i \(-0.705666\pi\)
0.992504 + 0.122215i \(0.0389997\pi\)
\(164\) 2.62326 + 4.54362i 0.204842 + 0.354797i
\(165\) −2.49447 + 3.10717i −0.194194 + 0.241893i
\(166\) 2.06662 + 5.67798i 0.160401 + 0.440697i
\(167\) 5.96162 + 2.16985i 0.461324 + 0.167908i 0.562218 0.826989i \(-0.309948\pi\)
−0.100894 + 0.994897i \(0.532170\pi\)
\(168\) 1.62429 + 0.891403i 0.125316 + 0.0687733i
\(169\) 0.255835 1.45091i 0.0196796 0.111609i
\(170\) 4.93813 0.378737
\(171\) −5.61513 + 11.8098i −0.429400 + 0.903114i
\(172\) −8.62261 −0.657468
\(173\) 0.999974 5.67113i 0.0760266 0.431168i −0.922908 0.385020i \(-0.874194\pi\)
0.998935 0.0461477i \(-0.0146945\pi\)
\(174\) −6.79952 3.73155i −0.515470 0.282888i
\(175\) −1.00521 0.365866i −0.0759866 0.0276569i
\(176\) −0.786817 2.16176i −0.0593085 0.162949i
\(177\) 11.5769 14.4205i 0.870177 1.08391i
\(178\) −0.850496 1.47310i −0.0637474 0.110414i
\(179\) 7.79890 13.5081i 0.582917 1.00964i −0.412214 0.911087i \(-0.635244\pi\)
0.995132 0.0985556i \(-0.0314222\pi\)
\(180\) 2.53062 1.61121i 0.188621 0.120092i
\(181\) 7.60377 1.34075i 0.565184 0.0996571i 0.116246 0.993220i \(-0.462914\pi\)
0.448937 + 0.893563i \(0.351803\pi\)
\(182\) 3.14524 + 1.81590i 0.233141 + 0.134604i
\(183\) 5.66336 + 6.45961i 0.418648 + 0.477508i
\(184\) 3.67741 + 4.38256i 0.271102 + 0.323087i
\(185\) −1.54384 + 0.561911i −0.113505 + 0.0413125i
\(186\) −0.151526 + 0.983586i −0.0111104 + 0.0721200i
\(187\) −8.70238 7.30217i −0.636381 0.533987i
\(188\) −3.87680 0.683585i −0.282745 0.0498555i
\(189\) 4.62294 3.08620i 0.336269 0.224488i
\(190\) 2.92154 + 3.23490i 0.211951 + 0.234684i
\(191\) 1.27799i 0.0924722i 0.998931 + 0.0462361i \(0.0147226\pi\)
−0.998931 + 0.0462361i \(0.985277\pi\)
\(192\) 0.0375473 + 1.73164i 0.00270975 + 0.124971i
\(193\) −14.4462 + 17.2163i −1.03986 + 1.23926i −0.0695027 + 0.997582i \(0.522141\pi\)
−0.970357 + 0.241675i \(0.922303\pi\)
\(194\) −2.24992 + 6.18161i −0.161535 + 0.443813i
\(195\) 5.02771 3.04995i 0.360042 0.218411i
\(196\) −4.48572 + 3.76397i −0.320409 + 0.268855i
\(197\) −12.2220 + 7.05639i −0.870784 + 0.502747i −0.867609 0.497248i \(-0.834344\pi\)
−0.00317523 + 0.999995i \(0.501011\pi\)
\(198\) −6.84220 0.902700i −0.486254 0.0641521i
\(199\) −2.28850 12.9787i −0.162227 0.920036i −0.951877 0.306479i \(-0.900849\pi\)
0.789650 0.613557i \(-0.210262\pi\)
\(200\) −0.173648 0.984808i −0.0122788 0.0696364i
\(201\) −2.07592 0.704996i −0.146424 0.0497266i
\(202\) 8.93607 5.15924i 0.628740 0.363003i
\(203\) −3.66953 + 3.07910i −0.257550 + 0.216110i
\(204\) 4.43611 + 7.31275i 0.310590 + 0.511995i
\(205\) 1.79442 4.93012i 0.125327 0.344334i
\(206\) 5.01054 5.97133i 0.349101 0.416042i
\(207\) 16.7573 3.71018i 1.16471 0.257875i
\(208\) 3.39510i 0.235408i
\(209\) −0.365038 10.0210i −0.0252502 0.693166i
\(210\) −0.361217 1.81726i −0.0249263 0.125403i
\(211\) −19.0957 3.36709i −1.31460 0.231800i −0.527992 0.849249i \(-0.677055\pi\)
−0.786611 + 0.617449i \(0.788166\pi\)
\(212\) −6.50715 5.46014i −0.446913 0.375004i
\(213\) 17.2093 + 2.65117i 1.17916 + 0.181656i
\(214\) 6.39136 2.32626i 0.436904 0.159020i
\(215\) 5.54251 + 6.60531i 0.377996 + 0.450478i
\(216\) 4.65934 + 2.30011i 0.317028 + 0.156503i
\(217\) 0.532287 + 0.307316i 0.0361340 + 0.0208620i
\(218\) 13.5463 2.38858i 0.917472 0.161775i
\(219\) −10.6098 27.2942i −0.716946 1.84437i
\(220\) −1.15025 + 1.99229i −0.0775498 + 0.134320i
\(221\) 8.38272 + 14.5193i 0.563883 + 0.976674i
\(222\) −2.21901 1.78144i −0.148930 0.119562i
\(223\) −7.21821 19.8319i −0.483367 1.32804i −0.906589 0.422014i \(-0.861323\pi\)
0.423222 0.906026i \(-0.360899\pi\)
\(224\) 1.00521 + 0.365866i 0.0671633 + 0.0244455i
\(225\) −2.86090 0.902901i −0.190727 0.0601934i
\(226\) −2.75572 + 15.6284i −0.183307 + 1.03959i
\(227\) −19.2624 −1.27849 −0.639246 0.769002i \(-0.720753\pi\)
−0.639246 + 0.769002i \(0.720753\pi\)
\(228\) −2.16594 + 7.23247i −0.143443 + 0.478982i
\(229\) −5.40115 −0.356918 −0.178459 0.983947i \(-0.557111\pi\)
−0.178459 + 0.983947i \(0.557111\pi\)
\(230\) 0.993446 5.63411i 0.0655059 0.371502i
\(231\) −2.05067 + 3.73667i −0.134924 + 0.245855i
\(232\) −4.20796 1.53157i −0.276266 0.100553i
\(233\) −3.82034 10.4963i −0.250279 0.687636i −0.999674 0.0255132i \(-0.991878\pi\)
0.749396 0.662123i \(-0.230344\pi\)
\(234\) 9.03318 + 4.70552i 0.590518 + 0.307610i
\(235\) 1.96830 + 3.40920i 0.128398 + 0.222392i
\(236\) 5.33836 9.24631i 0.347498 0.601884i
\(237\) 1.65329 0.642670i 0.107393 0.0417459i
\(238\) 5.20217 0.917282i 0.337206 0.0594586i
\(239\) 19.4775 + 11.2453i 1.25989 + 0.727400i 0.973054 0.230579i \(-0.0740620\pi\)
0.286839 + 0.957979i \(0.407395\pi\)
\(240\) 1.30238 1.14184i 0.0840683 0.0737056i
\(241\) −6.47825 7.72048i −0.417301 0.497320i 0.515913 0.856641i \(-0.327453\pi\)
−0.933214 + 0.359321i \(0.883008\pi\)
\(242\) −5.36349 + 1.95215i −0.344778 + 0.125489i
\(243\) 12.5775 9.20899i 0.806849 0.590757i
\(244\) 3.79946 + 3.18813i 0.243236 + 0.204099i
\(245\) 5.76674 + 1.01683i 0.368423 + 0.0649630i
\(246\) 8.91287 1.77161i 0.568264 0.112954i
\(247\) −4.55193 + 14.0815i −0.289632 + 0.895981i
\(248\) 0.574573i 0.0364854i
\(249\) 10.4633 0.226875i 0.663082 0.0143776i
\(250\) −0.642788 + 0.766044i −0.0406535 + 0.0484489i
\(251\) 5.31650 14.6070i 0.335575 0.921984i −0.651058 0.759028i \(-0.725675\pi\)
0.986633 0.162957i \(-0.0521030\pi\)
\(252\) 2.36664 2.16743i 0.149084 0.136535i
\(253\) −10.0821 + 8.45986i −0.633855 + 0.531867i
\(254\) −12.3954 + 7.15646i −0.777754 + 0.449036i
\(255\) 2.75041 8.09880i 0.172237 0.507167i
\(256\) 0.173648 + 0.984808i 0.0108530 + 0.0615505i
\(257\) −2.89223 16.4026i −0.180412 1.02317i −0.931710 0.363204i \(-0.881683\pi\)
0.751298 0.659964i \(-0.229428\pi\)
\(258\) −4.80257 + 14.1416i −0.298995 + 0.880415i
\(259\) −1.52201 + 0.878731i −0.0945729 + 0.0546017i
\(260\) 2.60080 2.18233i 0.161295 0.135342i
\(261\) −9.90711 + 9.07320i −0.613235 + 0.561617i
\(262\) −3.51544 + 9.65860i −0.217185 + 0.596710i
\(263\) −10.7129 + 12.7671i −0.660585 + 0.787255i −0.987470 0.157810i \(-0.949557\pi\)
0.326884 + 0.945064i \(0.394001\pi\)
\(264\) −3.98364 + 0.0863775i −0.245176 + 0.00531617i
\(265\) 8.49448i 0.521812i
\(266\) 3.67866 + 2.86518i 0.225553 + 0.175675i
\(267\) −2.88967 + 0.574380i −0.176845 + 0.0351515i
\(268\) −1.24653 0.219797i −0.0761441 0.0134263i
\(269\) −1.97083 1.65372i −0.120164 0.100829i 0.580726 0.814099i \(-0.302769\pi\)
−0.700889 + 0.713270i \(0.747213\pi\)
\(270\) −1.23298 5.04775i −0.0750367 0.307196i
\(271\) 1.10576 0.402465i 0.0671703 0.0244480i −0.308216 0.951316i \(-0.599732\pi\)
0.375387 + 0.926868i \(0.377510\pi\)
\(272\) 3.17417 + 3.78283i 0.192462 + 0.229368i
\(273\) 4.73000 4.14695i 0.286273 0.250985i
\(274\) −9.83563 5.67860i −0.594192 0.343057i
\(275\) 2.26555 0.399477i 0.136618 0.0240894i
\(276\) 9.23586 3.59017i 0.555934 0.216103i
\(277\) −7.31192 + 12.6646i −0.439331 + 0.760943i −0.997638 0.0686909i \(-0.978118\pi\)
0.558307 + 0.829634i \(0.311451\pi\)
\(278\) −2.88313 4.99373i −0.172919 0.299504i
\(279\) 1.52874 + 0.796343i 0.0915232 + 0.0476758i
\(280\) −0.365866 1.00521i −0.0218647 0.0600727i
\(281\) −8.56312 3.11672i −0.510833 0.185928i 0.0737270 0.997278i \(-0.476511\pi\)
−0.584560 + 0.811350i \(0.698733\pi\)
\(282\) −3.28039 + 5.97743i −0.195345 + 0.355951i
\(283\) 0.786771 4.46200i 0.0467687 0.265239i −0.952453 0.304686i \(-0.901449\pi\)
0.999222 + 0.0394472i \(0.0125597\pi\)
\(284\) 10.0530 0.596536
\(285\) 6.93264 2.98974i 0.410654 0.177097i
\(286\) −7.81042 −0.461840
\(287\) 0.974568 5.52705i 0.0575269 0.326251i
\(288\) 2.86090 + 0.902901i 0.168580 + 0.0532040i
\(289\) 6.93974 + 2.52586i 0.408220 + 0.148580i
\(290\) 1.53157 + 4.20796i 0.0899370 + 0.247100i
\(291\) 8.88502 + 7.13299i 0.520849 + 0.418143i
\(292\) −8.45352 14.6419i −0.494705 0.856853i
\(293\) 16.6184 28.7839i 0.970855 1.68157i 0.277871 0.960619i \(-0.410371\pi\)
0.692985 0.720952i \(-0.256295\pi\)
\(294\) 3.67468 + 9.45327i 0.214312 + 0.551326i
\(295\) −10.5145 + 1.85399i −0.612179 + 0.107944i
\(296\) −1.42281 0.821458i −0.0826990 0.0477463i
\(297\) −5.29141 + 10.7188i −0.307039 + 0.621968i
\(298\) 12.8884 + 15.3598i 0.746604 + 0.889768i
\(299\) 18.2521 6.64322i 1.05555 0.384187i
\(300\) −1.71186 0.263720i −0.0988341 0.0152259i
\(301\) 7.06583 + 5.92894i 0.407268 + 0.341738i
\(302\) −13.1473 2.31822i −0.756542 0.133399i
\(303\) −3.48428 17.5292i −0.200167 1.00703i
\(304\) −0.600146 + 4.31739i −0.0344207 + 0.247619i
\(305\) 4.95985i 0.284000i
\(306\) 14.4641 3.20246i 0.826858 0.183072i
\(307\) −15.2954 + 18.2284i −0.872956 + 1.04035i 0.125876 + 0.992046i \(0.459826\pi\)
−0.998833 + 0.0483029i \(0.984619\pi\)
\(308\) −0.841674 + 2.31248i −0.0479588 + 0.131766i
\(309\) −7.00257 11.5434i −0.398362 0.656683i
\(310\) 0.440148 0.369328i 0.0249987 0.0209764i
\(311\) −6.85873 + 3.95989i −0.388923 + 0.224545i −0.681693 0.731638i \(-0.738756\pi\)
0.292770 + 0.956183i \(0.405423\pi\)
\(312\) 5.56815 + 1.89098i 0.315234 + 0.107056i
\(313\) −3.95569 22.4338i −0.223589 1.26804i −0.865365 0.501143i \(-0.832913\pi\)
0.641776 0.766892i \(-0.278198\pi\)
\(314\) −3.22832 18.3087i −0.182185 1.03322i
\(315\) −3.18159 0.419751i −0.179262 0.0236503i
\(316\) 0.886906 0.512055i 0.0498923 0.0288054i
\(317\) 24.6485 20.6825i 1.38440 1.16165i 0.416842 0.908979i \(-0.363137\pi\)
0.967553 0.252666i \(-0.0813075\pi\)
\(318\) −12.5792 + 7.63092i −0.705409 + 0.427921i
\(319\) 3.52338 9.68040i 0.197271 0.541998i
\(320\) 0.642788 0.766044i 0.0359329 0.0428232i
\(321\) −0.255380 11.7778i −0.0142539 0.657375i
\(322\) 6.11990i 0.341049i
\(323\) 8.09335 + 19.9453i 0.450326 + 1.10979i
\(324\) 6.36745 6.36047i 0.353747 0.353360i
\(325\) −3.34352 0.589553i −0.185465 0.0327025i
\(326\) −7.63659 6.40786i −0.422951 0.354898i
\(327\) 3.62754 23.5471i 0.200603 1.30216i
\(328\) 4.93012 1.79442i 0.272220 0.0990800i
\(329\) 2.70682 + 3.22587i 0.149232 + 0.177848i
\(330\) 2.62680 + 2.99612i 0.144601 + 0.164931i
\(331\) 12.7286 + 7.34886i 0.699628 + 0.403930i 0.807209 0.590266i \(-0.200977\pi\)
−0.107581 + 0.994196i \(0.534311\pi\)
\(332\) 5.95059 1.04925i 0.326581 0.0575850i
\(333\) −4.15759 + 2.64708i −0.227835 + 0.145059i
\(334\) 3.17211 5.49426i 0.173570 0.300632i
\(335\) 0.632881 + 1.09618i 0.0345780 + 0.0598908i
\(336\) 1.15992 1.44482i 0.0632786 0.0788214i
\(337\) −1.88991 5.19248i −0.102950 0.282852i 0.877514 0.479551i \(-0.159200\pi\)
−0.980464 + 0.196698i \(0.936978\pi\)
\(338\) −1.38445 0.503897i −0.0753040 0.0274084i
\(339\) 24.0966 + 13.2242i 1.30875 + 0.718238i
\(340\) 0.857497 4.86311i 0.0465043 0.263739i
\(341\) −1.32180 −0.0715797
\(342\) 10.6553 + 7.58057i 0.576172 + 0.409910i
\(343\) 13.7520 0.742538
\(344\) −1.49730 + 8.49162i −0.0807291 + 0.457837i
\(345\) −8.68693 4.76736i −0.467689 0.256666i
\(346\) −5.41133 1.96956i −0.290915 0.105884i
\(347\) 2.58634 + 7.10592i 0.138842 + 0.381466i 0.989553 0.144168i \(-0.0460505\pi\)
−0.850711 + 0.525634i \(0.823828\pi\)
\(348\) −4.85559 + 6.04824i −0.260287 + 0.324220i
\(349\) −15.2132 26.3500i −0.814342 1.41048i −0.909799 0.415049i \(-0.863765\pi\)
0.0954569 0.995434i \(-0.469569\pi\)
\(350\) −0.534860 + 0.926405i −0.0285895 + 0.0495184i
\(351\) 12.7486 12.1941i 0.680468 0.650871i
\(352\) −2.26555 + 0.399477i −0.120754 + 0.0212922i
\(353\) 11.6011 + 6.69790i 0.617465 + 0.356493i 0.775881 0.630879i \(-0.217306\pi\)
−0.158417 + 0.987372i \(0.550639\pi\)
\(354\) −12.1911 13.9052i −0.647951 0.739051i
\(355\) −6.46194 7.70104i −0.342964 0.408729i
\(356\) −1.59841 + 0.581773i −0.0847155 + 0.0308339i
\(357\) 1.39308 9.04274i 0.0737295 0.478593i
\(358\) −11.9486 10.0261i −0.631504 0.529895i
\(359\) 28.9367 + 5.10231i 1.52722 + 0.269290i 0.873265 0.487245i \(-0.161998\pi\)
0.653953 + 0.756535i \(0.273109\pi\)
\(360\) −1.14729 2.77195i −0.0604675 0.146095i
\(361\) −8.27762 + 17.1021i −0.435664 + 0.900109i
\(362\) 7.72107i 0.405810i
\(363\) 0.214309 + 9.88372i 0.0112483 + 0.518761i
\(364\) 2.33448 2.78213i 0.122360 0.145823i
\(365\) −5.78255 + 15.8874i −0.302672 + 0.831585i
\(366\) 7.34491 4.45563i 0.383925 0.232899i
\(367\) −6.26727 + 5.25886i −0.327149 + 0.274510i −0.791537 0.611121i \(-0.790719\pi\)
0.464388 + 0.885632i \(0.346274\pi\)
\(368\) 4.95456 2.86051i 0.258274 0.149115i
\(369\) 2.05870 15.6043i 0.107172 0.812330i
\(370\) 0.285289 + 1.61796i 0.0148315 + 0.0841136i
\(371\) 1.57789 + 8.94867i 0.0819201 + 0.464592i
\(372\) 0.942331 + 0.320022i 0.0488576 + 0.0165924i
\(373\) −21.8416 + 12.6102i −1.13091 + 0.652933i −0.944164 0.329474i \(-0.893128\pi\)
−0.186749 + 0.982408i \(0.559795\pi\)
\(374\) −8.70238 + 7.30217i −0.449989 + 0.377586i
\(375\) 0.898339 + 1.48087i 0.0463900 + 0.0764720i
\(376\) −1.34640 + 3.69920i −0.0694352 + 0.190772i
\(377\) −9.77250 + 11.6464i −0.503310 + 0.599821i
\(378\) −2.23655 5.08862i −0.115036 0.261730i
\(379\) 21.6895i 1.11412i 0.830473 + 0.557058i \(0.188070\pi\)
−0.830473 + 0.557058i \(0.811930\pi\)
\(380\) 3.69308 2.31542i 0.189451 0.118779i
\(381\) 4.83310 + 24.3150i 0.247607 + 1.24570i
\(382\) 1.25858 + 0.221921i 0.0643943 + 0.0113545i
\(383\) −2.29784 1.92812i −0.117414 0.0985222i 0.582190 0.813053i \(-0.302196\pi\)
−0.699604 + 0.714530i \(0.746640\pi\)
\(384\) 1.71186 + 0.263720i 0.0873578 + 0.0134579i
\(385\) 2.31248 0.841674i 0.117855 0.0428957i
\(386\) 14.4462 + 17.2163i 0.735292 + 0.876287i
\(387\) 20.5180 + 15.7530i 1.04299 + 0.800768i
\(388\) 5.69700 + 3.28916i 0.289221 + 0.166982i
\(389\) −3.53005 + 0.622443i −0.178981 + 0.0315591i −0.262420 0.964954i \(-0.584521\pi\)
0.0834394 + 0.996513i \(0.473410\pi\)
\(390\) −2.13056 5.48095i −0.107885 0.277539i
\(391\) 14.1256 24.4662i 0.714362 1.23731i
\(392\) 2.92785 + 5.07118i 0.147879 + 0.256133i
\(393\) 13.8826 + 11.1451i 0.700286 + 0.562196i
\(394\) 4.82686 + 13.2617i 0.243174 + 0.668114i
\(395\) −0.962349 0.350266i −0.0484210 0.0176238i
\(396\) −2.07712 + 6.58150i −0.104379 + 0.330733i
\(397\) −1.01746 + 5.77028i −0.0510647 + 0.289602i −0.999637 0.0269597i \(-0.991417\pi\)
0.948572 + 0.316562i \(0.102529\pi\)
\(398\) −13.1789 −0.660600
\(399\) 6.74796 4.43737i 0.337821 0.222146i
\(400\) −1.00000 −0.0500000
\(401\) −0.671198 + 3.80655i −0.0335180 + 0.190090i −0.996970 0.0777925i \(-0.975213\pi\)
0.963452 + 0.267883i \(0.0863240\pi\)
\(402\) −1.05477 + 1.92196i −0.0526069 + 0.0958586i
\(403\) 1.83309 + 0.667190i 0.0913127 + 0.0332351i
\(404\) −3.52913 9.69621i −0.175581 0.482404i
\(405\) −8.96532 0.789313i −0.445490 0.0392213i
\(406\) 2.39511 + 4.14846i 0.118868 + 0.205885i
\(407\) 1.88976 3.27317i 0.0936721 0.162245i
\(408\) 7.97197 3.09887i 0.394671 0.153417i
\(409\) 18.1986 3.20891i 0.899865 0.158671i 0.295467 0.955353i \(-0.404525\pi\)
0.604398 + 0.796682i \(0.293414\pi\)
\(410\) −4.54362 2.62326i −0.224393 0.129554i
\(411\) −14.7914 + 12.9681i −0.729606 + 0.639671i
\(412\) −5.01054 5.97133i −0.246852 0.294186i
\(413\) −10.7323 + 3.90625i −0.528104 + 0.192214i
\(414\) −0.743947 17.1470i −0.0365630 0.842727i
\(415\) −4.62874 3.88397i −0.227216 0.190657i
\(416\) 3.34352 + 0.589553i 0.163930 + 0.0289052i
\(417\) −9.79581 + 1.94711i −0.479703 + 0.0953506i
\(418\) −9.93214 1.38063i −0.485797 0.0675290i
\(419\) 12.1728i 0.594681i −0.954771 0.297341i \(-0.903900\pi\)
0.954771 0.297341i \(-0.0960997\pi\)
\(420\) −1.85238 + 0.0401652i −0.0903866 + 0.00195986i
\(421\) 17.2442 20.5508i 0.840430 1.00159i −0.159466 0.987203i \(-0.550977\pi\)
0.999897 0.0143825i \(-0.00457826\pi\)
\(422\) −6.63187 + 18.2209i −0.322834 + 0.886980i
\(423\) 7.97622 + 8.70930i 0.387817 + 0.423461i
\(424\) −6.50715 + 5.46014i −0.316015 + 0.265168i
\(425\) −4.27655 + 2.46906i −0.207443 + 0.119767i
\(426\) 5.59926 16.4875i 0.271285 0.798820i
\(427\) −0.921317 5.22505i −0.0445857 0.252858i
\(428\) −1.18108 6.69821i −0.0570894 0.323770i
\(429\) −4.35020 + 12.8095i −0.210030 + 0.618449i
\(430\) 7.46740 4.31131i 0.360110 0.207910i
\(431\) −25.3369 + 21.2602i −1.22044 + 1.02407i −0.221634 + 0.975130i \(0.571139\pi\)
−0.998802 + 0.0489372i \(0.984417\pi\)
\(432\) 3.07426 4.18915i 0.147910 0.201550i
\(433\) −0.586191 + 1.61055i −0.0281705 + 0.0773979i −0.952981 0.303031i \(-0.902001\pi\)
0.924810 + 0.380429i \(0.124224\pi\)
\(434\) 0.395078 0.470836i 0.0189644 0.0226008i
\(435\) 7.75433 0.168138i 0.371792 0.00806158i
\(436\) 13.7553i 0.658758i
\(437\) 24.3846 5.22147i 1.16647 0.249777i
\(438\) −28.7219 + 5.70906i −1.37239 + 0.272789i
\(439\) 2.53984 + 0.447842i 0.121220 + 0.0213743i 0.233929 0.972254i \(-0.424842\pi\)
−0.112709 + 0.993628i \(0.535953\pi\)
\(440\) 1.76228 + 1.47873i 0.0840136 + 0.0704958i
\(441\) 17.5506 0.761459i 0.835742 0.0362599i
\(442\) 15.7544 5.73412i 0.749359 0.272744i
\(443\) −12.6520 15.0781i −0.601115 0.716381i 0.376586 0.926382i \(-0.377098\pi\)
−0.977701 + 0.210001i \(0.932653\pi\)
\(444\) −2.13970 + 1.87595i −0.101546 + 0.0890287i
\(445\) 1.47310 + 0.850496i 0.0698317 + 0.0403174i
\(446\) −20.7840 + 3.66478i −0.984151 + 0.173532i
\(447\) 32.3694 12.5827i 1.53102 0.595140i
\(448\) 0.534860 0.926405i 0.0252698 0.0437685i
\(449\) 15.0755 + 26.1116i 0.711459 + 1.23228i 0.964310 + 0.264777i \(0.0852985\pi\)
−0.252851 + 0.967505i \(0.581368\pi\)
\(450\) −1.38597 + 2.66065i −0.0653355 + 0.125424i
\(451\) 4.12805 + 11.3417i 0.194382 + 0.534061i
\(452\) 14.9125 + 5.42770i 0.701424 + 0.255298i
\(453\) −11.1247 + 20.2711i −0.522685 + 0.952419i
\(454\) −3.34489 + 18.9698i −0.156983 + 0.890296i
\(455\) −3.63181 −0.170262
\(456\) 6.74648 + 3.38894i 0.315933 + 0.158702i
\(457\) 25.0042 1.16965 0.584824 0.811160i \(-0.301163\pi\)
0.584824 + 0.811160i \(0.301163\pi\)
\(458\) −0.937899 + 5.31909i −0.0438252 + 0.248545i
\(459\) 2.80392 25.5056i 0.130876 1.19050i
\(460\) −5.37601 1.95671i −0.250658 0.0912319i
\(461\) −10.2928 28.2793i −0.479385 1.31710i −0.910017 0.414571i \(-0.863932\pi\)
0.430632 0.902527i \(-0.358291\pi\)
\(462\) 3.32380 + 2.66838i 0.154637 + 0.124144i
\(463\) −11.6041 20.0988i −0.539286 0.934071i −0.998943 0.0459745i \(-0.985361\pi\)
0.459656 0.888097i \(-0.347973\pi\)
\(464\) −2.23901 + 3.87808i −0.103943 + 0.180035i
\(465\) −0.360567 0.927574i −0.0167209 0.0430152i
\(466\) −11.0002 + 1.93964i −0.509576 + 0.0898520i
\(467\) 1.09877 + 0.634378i 0.0508452 + 0.0293555i 0.525207 0.850974i \(-0.323988\pi\)
−0.474362 + 0.880330i \(0.657321\pi\)
\(468\) 6.20263 8.07884i 0.286717 0.373445i
\(469\) 0.870342 + 1.03723i 0.0401886 + 0.0478950i
\(470\) 3.69920 1.34640i 0.170631 0.0621048i
\(471\) −31.8254 4.90286i −1.46644 0.225912i
\(472\) −8.17885 6.86287i −0.376462 0.315889i
\(473\) −19.5349 3.44454i −0.898218 0.158380i
\(474\) −0.345815 1.73978i −0.0158838 0.0799105i
\(475\) −4.14758 1.34073i −0.190304 0.0615171i
\(476\) 5.28242i 0.242119i
\(477\) 5.50881 + 24.8809i 0.252231 + 1.13922i
\(478\) 14.4567 17.2288i 0.661235 0.788029i
\(479\) −14.1743 + 38.9437i −0.647643 + 1.77938i −0.0213796 + 0.999771i \(0.506806\pi\)
−0.626263 + 0.779612i \(0.715416\pi\)
\(480\) −0.898339 1.48087i −0.0410034 0.0675923i
\(481\) −4.27289 + 3.58538i −0.194827 + 0.163479i
\(482\) −8.72812 + 5.03918i −0.397555 + 0.229529i
\(483\) −10.0370 3.40863i −0.456698 0.155098i
\(484\) 0.991134 + 5.62100i 0.0450515 + 0.255500i
\(485\) −1.14231 6.47839i −0.0518698 0.294168i
\(486\) −6.88502 13.9856i −0.312311 0.634399i
\(487\) 18.6517 10.7686i 0.845191 0.487971i −0.0138344 0.999904i \(-0.504404\pi\)
0.859025 + 0.511933i \(0.171070\pi\)
\(488\) 3.79946 3.18813i 0.171994 0.144320i
\(489\) −14.7626 + 8.95541i −0.667589 + 0.404978i
\(490\) 2.00277 5.50256i 0.0904758 0.248580i
\(491\) −18.5128 + 22.0627i −0.835470 + 0.995674i 0.164487 + 0.986379i \(0.447403\pi\)
−0.999957 + 0.00929470i \(0.997041\pi\)
\(492\) −0.196993 9.08510i −0.00888112 0.409588i
\(493\) 22.1130i 0.995921i
\(494\) 13.0771 + 6.92799i 0.588366 + 0.311705i
\(495\) 6.37687 2.63934i 0.286619 0.118630i
\(496\) 0.565844 + 0.0997735i 0.0254071 + 0.00447996i
\(497\) −8.23796 6.91247i −0.369523 0.310067i
\(498\) 1.59350 10.3437i 0.0714063 0.463512i
\(499\) −28.2230 + 10.2723i −1.26344 + 0.459853i −0.884920 0.465742i \(-0.845787\pi\)
−0.378515 + 0.925595i \(0.623565\pi\)
\(500\) 0.642788 + 0.766044i 0.0287463 + 0.0342585i
\(501\) −7.24410 8.26260i −0.323643 0.369146i
\(502\) −13.4619 7.77221i −0.600832 0.346891i
\(503\) 4.74796 0.837194i 0.211701 0.0373286i −0.0667916 0.997767i \(-0.521276\pi\)
0.278493 + 0.960438i \(0.410165\pi\)
\(504\) −1.72354 2.70705i −0.0767726 0.120582i
\(505\) −5.15924 + 8.93607i −0.229583 + 0.397650i
\(506\) 6.58061 + 11.3979i 0.292544 + 0.506700i
\(507\) −1.59752 + 1.98991i −0.0709483 + 0.0883750i
\(508\) 4.89531 + 13.4498i 0.217194 + 0.596736i
\(509\) −14.2650 5.19205i −0.632287 0.230133i 0.00593969 0.999982i \(-0.498109\pi\)
−0.638226 + 0.769849i \(0.720332\pi\)
\(510\) −7.49816 4.11497i −0.332024 0.182214i
\(511\) −3.14057 + 17.8110i −0.138930 + 0.787914i
\(512\) 1.00000 0.0441942
\(513\) 18.3673 13.2531i 0.810934 0.585137i
\(514\) −16.6557 −0.734650
\(515\) −1.35359 + 7.67659i −0.0596463 + 0.338271i
\(516\) 13.0928 + 7.18527i 0.576377 + 0.316314i
\(517\) −8.51000 3.09739i −0.374270 0.136223i
\(518\) 0.601087 + 1.65147i 0.0264103 + 0.0725616i
\(519\) −6.24416 + 7.77788i −0.274088 + 0.341411i
\(520\) −1.69755 2.94024i −0.0744425 0.128938i
\(521\) 17.5276 30.3588i 0.767900 1.33004i −0.170800 0.985306i \(-0.554635\pi\)
0.938700 0.344736i \(-0.112031\pi\)
\(522\) 7.21501 + 11.3321i 0.315792 + 0.495994i
\(523\) −41.7506 + 7.36176i −1.82563 + 0.321907i −0.977987 0.208665i \(-0.933088\pi\)
−0.847640 + 0.530573i \(0.821977\pi\)
\(524\) 8.90141 + 5.13923i 0.388860 + 0.224508i
\(525\) 1.22145 + 1.39318i 0.0533085 + 0.0608035i
\(526\) 10.7129 + 12.7671i 0.467104 + 0.556673i
\(527\) 2.66620 0.970419i 0.116142 0.0422721i
\(528\) −0.606687 + 3.93812i −0.0264027 + 0.171385i
\(529\) −7.45374 6.25443i −0.324076 0.271932i
\(530\) 8.36543 + 1.47505i 0.363371 + 0.0640721i
\(531\) −29.5954 + 12.2493i −1.28433 + 0.531575i
\(532\) 3.46044 3.12524i 0.150029 0.135496i
\(533\) 17.8125i 0.771543i
\(534\) 0.0638677 + 2.94551i 0.00276383 + 0.127465i
\(535\) −4.37195 + 5.21028i −0.189016 + 0.225260i
\(536\) −0.432916 + 1.18943i −0.0186991 + 0.0513754i
\(537\) −23.0984 + 14.0121i −0.996769 + 0.604667i
\(538\) −1.97083 + 1.65372i −0.0849685 + 0.0712970i
\(539\) −11.6662 + 6.73551i −0.502501 + 0.290119i
\(540\) −5.18517 + 0.337714i −0.223134 + 0.0145329i
\(541\) 2.07970 + 11.7946i 0.0894135 + 0.507089i 0.996317 + 0.0857500i \(0.0273286\pi\)
−0.906903 + 0.421339i \(0.861560\pi\)
\(542\) −0.204337 1.15885i −0.00877701 0.0497769i
\(543\) −12.6630 4.30044i −0.543420 0.184549i
\(544\) 4.27655 2.46906i 0.183355 0.105860i
\(545\) −10.5372 + 8.84172i −0.451362 + 0.378738i
\(546\) −3.26259 5.37825i −0.139626 0.230168i
\(547\) −4.01686 + 11.0362i −0.171749 + 0.471875i −0.995465 0.0951263i \(-0.969675\pi\)
0.823717 + 0.567002i \(0.191897\pi\)
\(548\) −7.30027 + 8.70012i −0.311852 + 0.371651i
\(549\) −3.21654 14.5277i −0.137279 0.620028i
\(550\) 2.30050i 0.0980935i
\(551\) −14.4859 + 13.0827i −0.617122 + 0.557343i
\(552\) −1.93184 9.71898i −0.0822246 0.413667i
\(553\) −1.07887 0.190234i −0.0458782 0.00808956i
\(554\) 11.2025 + 9.40003i 0.475949 + 0.399369i
\(555\) 2.81244 + 0.433270i 0.119381 + 0.0183913i
\(556\) −5.41851 + 1.97218i −0.229796 + 0.0836389i
\(557\) 15.2317 + 18.1525i 0.645390 + 0.769146i 0.985211 0.171344i \(-0.0548111\pi\)
−0.339821 + 0.940490i \(0.610367\pi\)
\(558\) 1.04971 1.36723i 0.0444377 0.0578795i
\(559\) 25.3526 + 14.6373i 1.07230 + 0.619093i
\(560\) −1.05347 + 0.185755i −0.0445172 + 0.00784958i
\(561\) 7.12895 + 18.3395i 0.300985 + 0.774294i
\(562\) −4.55634 + 7.89182i −0.192198 + 0.332896i
\(563\) 10.1328 + 17.5506i 0.427047 + 0.739668i 0.996609 0.0822807i \(-0.0262204\pi\)
−0.569562 + 0.821949i \(0.692887\pi\)
\(564\) 5.31698 + 4.26853i 0.223885 + 0.179737i
\(565\) −5.42770 14.9125i −0.228345 0.627373i
\(566\) −4.25759 1.54964i −0.178960 0.0651361i
\(567\) −9.59131 + 0.833836i −0.402797 + 0.0350178i
\(568\) 1.74568 9.90027i 0.0732473 0.415406i
\(569\) −21.6640 −0.908201 −0.454101 0.890950i \(-0.650039\pi\)
−0.454101 + 0.890950i \(0.650039\pi\)
\(570\) −1.74047 7.34648i −0.0729004 0.307710i
\(571\) 0.685405 0.0286833 0.0143417 0.999897i \(-0.495435\pi\)
0.0143417 + 0.999897i \(0.495435\pi\)
\(572\) −1.35627 + 7.69176i −0.0567083 + 0.321609i
\(573\) 1.06496 1.94053i 0.0444892 0.0810667i
\(574\) −5.27385 1.91952i −0.220126 0.0801194i
\(575\) 1.95671 + 5.37601i 0.0816003 + 0.224195i
\(576\) 1.38597 2.66065i 0.0577489 0.110861i
\(577\) 18.0909 + 31.3344i 0.753134 + 1.30447i 0.946297 + 0.323299i \(0.104792\pi\)
−0.193163 + 0.981167i \(0.561875\pi\)
\(578\) 3.69256 6.39570i 0.153590 0.266026i
\(579\) 36.2818 14.1035i 1.50782 0.586122i
\(580\) 4.40999 0.777600i 0.183115 0.0322881i
\(581\) −5.59770 3.23183i −0.232232 0.134079i
\(582\) 8.56749 7.51141i 0.355134 0.311358i
\(583\) −12.5611 14.9697i −0.520226 0.619981i
\(584\) −15.8874 + 5.78255i −0.657426 + 0.239283i
\(585\) −10.1757 + 0.441489i −0.420715 + 0.0182533i
\(586\) −25.4608 21.3642i −1.05178 0.882545i
\(587\) −29.6447 5.22717i −1.22357 0.215748i −0.475708 0.879603i \(-0.657808\pi\)
−0.747861 + 0.663855i \(0.768919\pi\)
\(588\) 9.94775 1.97732i 0.410238 0.0815431i
\(589\) 2.21311 + 1.17247i 0.0911897 + 0.0483106i
\(590\) 10.6767i 0.439554i
\(591\) 24.4383 0.529898i 1.00526 0.0217971i
\(592\) −1.05605 + 1.25855i −0.0434032 + 0.0517260i
\(593\) 14.8675 40.8481i 0.610534 1.67743i −0.118501 0.992954i \(-0.537809\pi\)
0.729036 0.684476i \(-0.239969\pi\)
\(594\) 9.63712 + 7.07232i 0.395416 + 0.290181i
\(595\) −4.04657 + 3.39547i −0.165893 + 0.139201i
\(596\) 17.3645 10.0254i 0.711277 0.410656i
\(597\) −7.34032 + 21.6142i −0.300419 + 0.884609i
\(598\) −3.37285 19.1284i −0.137926 0.782218i
\(599\) −6.68647 37.9208i −0.273202 1.54940i −0.744617 0.667492i \(-0.767368\pi\)
0.471415 0.881911i \(-0.343743\pi\)
\(600\) −0.556974 + 1.64005i −0.0227384 + 0.0669550i
\(601\) 30.6904 17.7191i 1.25189 0.722777i 0.280402 0.959883i \(-0.409532\pi\)
0.971484 + 0.237106i \(0.0761987\pi\)
\(602\) 7.06583 5.92894i 0.287982 0.241645i
\(603\) 2.56464 + 2.80035i 0.104440 + 0.114039i
\(604\) −4.56601 + 12.5450i −0.185788 + 0.510449i
\(605\) 3.66885 4.37236i 0.149160 0.177762i
\(606\) −17.8679 + 0.387432i −0.725836 + 0.0157383i
\(607\) 11.7234i 0.475836i 0.971285 + 0.237918i \(0.0764650\pi\)
−0.971285 + 0.237918i \(0.923535\pi\)
\(608\) 4.14758 + 1.34073i 0.168207 + 0.0543740i
\(609\) 8.13772 1.61753i 0.329757 0.0655458i
\(610\) −4.88450 0.861269i −0.197768 0.0348718i
\(611\) 10.2383 + 8.59097i 0.414198 + 0.347553i
\(612\) −0.642141 14.8005i −0.0259570 0.598273i
\(613\) −40.5931 + 14.7747i −1.63954 + 0.596744i −0.986959 0.160975i \(-0.948536\pi\)
−0.652582 + 0.757719i \(0.726314\pi\)
\(614\) 15.2954 + 18.2284i 0.617273 + 0.735638i
\(615\) −6.83297 + 5.99070i −0.275532 + 0.241568i
\(616\) 2.13119 + 1.23044i 0.0858682 + 0.0495760i
\(617\) −2.27788 + 0.401652i −0.0917041 + 0.0161699i −0.219312 0.975655i \(-0.570381\pi\)
0.127608 + 0.991825i \(0.459270\pi\)
\(618\) −12.5841 + 4.89169i −0.506205 + 0.196772i
\(619\) 11.4284 19.7946i 0.459347 0.795613i −0.539579 0.841935i \(-0.681417\pi\)
0.998927 + 0.0463218i \(0.0147500\pi\)
\(620\) −0.287286 0.497595i −0.0115377 0.0199839i
\(621\) −28.5363 8.33030i −1.14512 0.334283i
\(622\) 2.70872 + 7.44216i 0.108610 + 0.298403i
\(623\) 1.70985 + 0.622335i 0.0685038 + 0.0249333i
\(624\) 2.82915 5.15519i 0.113257 0.206373i
\(625\) 0.173648 0.984808i 0.00694593 0.0393923i
\(626\) −22.7799 −0.910468
\(627\) −7.79626 + 15.5203i −0.311353 + 0.619820i
\(628\) −18.5912 −0.741869
\(629\) −1.40880 + 7.98968i −0.0561724 + 0.318569i
\(630\) −0.965852 + 3.06037i −0.0384805 + 0.121928i
\(631\) 19.8777 + 7.23489i 0.791318 + 0.288016i 0.705884 0.708327i \(-0.250550\pi\)
0.0854344 + 0.996344i \(0.472772\pi\)
\(632\) −0.350266 0.962349i −0.0139328 0.0382802i
\(633\) 26.1895 + 21.0252i 1.04094 + 0.835677i
\(634\) −16.0881 27.8655i −0.638941 1.10668i
\(635\) 7.15646 12.3954i 0.283996 0.491895i
\(636\) 5.33062 + 13.7132i 0.211373 + 0.543765i
\(637\) 19.5786 3.45224i 0.775734 0.136783i
\(638\) −8.92151 5.15083i −0.353206 0.203923i
\(639\) −23.9217 18.3662i −0.946328 0.726555i
\(640\) −0.642788 0.766044i −0.0254084 0.0302806i
\(641\) −21.2079 + 7.71905i −0.837663 + 0.304884i −0.725000 0.688749i \(-0.758160\pi\)
−0.112663 + 0.993633i \(0.535938\pi\)
\(642\) −11.6433 1.79370i −0.459523 0.0707918i
\(643\) −20.3820 17.1025i −0.803787 0.674457i 0.145329 0.989383i \(-0.453576\pi\)
−0.949116 + 0.314926i \(0.898020\pi\)
\(644\) −6.02693 1.06271i −0.237494 0.0418766i
\(645\) −2.91163 14.6482i −0.114645 0.576774i
\(646\) 21.0477 4.50693i 0.828110 0.177323i
\(647\) 31.6277i 1.24341i −0.783251 0.621706i \(-0.786440\pi\)
0.783251 0.621706i \(-0.213560\pi\)
\(648\) −5.15815 7.37520i −0.202631 0.289725i
\(649\) 15.7880 18.8154i 0.619733 0.738570i
\(650\) −1.16119 + 3.19035i −0.0455457 + 0.125136i
\(651\) −0.552148 0.910193i −0.0216404 0.0356733i
\(652\) −7.63659 + 6.40786i −0.299072 + 0.250951i
\(653\) 25.3698 14.6473i 0.992798 0.573192i 0.0866888 0.996235i \(-0.472371\pi\)
0.906110 + 0.423043i \(0.139038\pi\)
\(654\) −22.5594 7.66133i −0.882143 0.299582i
\(655\) −1.78484 10.1223i −0.0697393 0.395511i
\(656\) −0.911049 5.16681i −0.0355705 0.201730i
\(657\) −6.63420 + 50.2854i −0.258825 + 1.96182i
\(658\) 3.64689 2.10554i 0.142171 0.0820823i
\(659\) −4.46072 + 3.74299i −0.173765 + 0.145806i −0.725523 0.688198i \(-0.758402\pi\)
0.551757 + 0.834005i \(0.313957\pi\)
\(660\) 3.40675 2.06663i 0.132607 0.0804433i
\(661\) −2.60950 + 7.16954i −0.101498 + 0.278863i −0.980040 0.198803i \(-0.936295\pi\)
0.878542 + 0.477666i \(0.158517\pi\)
\(662\) 9.44752 11.2591i 0.367188 0.437598i
\(663\) −0.629498 29.0318i −0.0244477 1.12750i
\(664\) 6.04238i 0.234490i
\(665\) −4.61840 0.641989i −0.179094 0.0248952i
\(666\) 1.88490 + 4.55409i 0.0730385 + 0.176467i
\(667\) 25.2297 + 4.44867i 0.976896 + 0.172253i
\(668\) −4.85996 4.07799i −0.188037 0.157782i
\(669\) −5.56571 + 36.1281i −0.215183 + 1.39679i
\(670\) 1.18943 0.432916i 0.0459516 0.0167250i
\(671\) 7.33428 + 8.74066i 0.283137 + 0.337429i
\(672\) −1.22145 1.39318i −0.0471185 0.0537432i
\(673\) −11.6285 6.71371i −0.448245 0.258794i 0.258844 0.965919i \(-0.416659\pi\)
−0.707089 + 0.707125i \(0.749992\pi\)
\(674\) −5.44177 + 0.959531i −0.209609 + 0.0369598i
\(675\) 3.59166 + 3.75499i 0.138243 + 0.144530i
\(676\) −0.736648 + 1.27591i −0.0283326 + 0.0490736i
\(677\) −1.79201 3.10385i −0.0688725 0.119291i 0.829533 0.558458i \(-0.188607\pi\)
−0.898405 + 0.439167i \(0.855273\pi\)
\(678\) 17.2076 21.4342i 0.660854 0.823176i
\(679\) −2.40679 6.61259i −0.0923640 0.253768i
\(680\) −4.64032 1.68894i −0.177948 0.0647679i
\(681\) 29.2485 + 16.0515i 1.12080 + 0.615094i
\(682\) −0.229529 + 1.30172i −0.00878911 + 0.0498455i
\(683\) −39.6168 −1.51590 −0.757948 0.652315i \(-0.773798\pi\)
−0.757948 + 0.652315i \(0.773798\pi\)
\(684\) 9.31567 9.17705i 0.356194 0.350893i
\(685\) 11.3572 0.433936
\(686\) 2.38801 13.5431i 0.0911747 0.517077i
\(687\) 8.20122 + 4.50080i 0.312896 + 0.171716i
\(688\) 8.10261 + 2.94911i 0.308909 + 0.112434i
\(689\) 9.86372 + 27.1004i 0.375778 + 1.03244i
\(690\) −6.20340 + 7.72711i −0.236160 + 0.294166i
\(691\) 21.9191 + 37.9649i 0.833841 + 1.44425i 0.894971 + 0.446125i \(0.147196\pi\)
−0.0611302 + 0.998130i \(0.519470\pi\)
\(692\) −2.87931 + 4.98711i −0.109455 + 0.189581i
\(693\) 6.22757 3.96500i 0.236566 0.150618i
\(694\) 7.44708 1.31312i 0.282687 0.0498454i
\(695\) 4.99373 + 2.88313i 0.189423 + 0.109363i
\(696\) 5.11319 + 5.83209i 0.193815 + 0.221065i
\(697\) −16.6533 19.8467i −0.630790 0.751746i
\(698\) −28.5914 + 10.4064i −1.08220 + 0.393889i
\(699\) −2.94573 + 19.1213i −0.111418 + 0.723235i
\(700\) 0.819454 + 0.687603i 0.0309724 + 0.0259890i
\(701\) 35.3258 + 6.22889i 1.33424 + 0.235262i 0.794855 0.606800i \(-0.207547\pi\)
0.539382 + 0.842062i \(0.318658\pi\)
\(702\) −9.79504 14.6724i −0.369690 0.553773i
\(703\) −6.06742 + 3.80405i −0.228837 + 0.143472i
\(704\) 2.30050i 0.0867033i
\(705\) −0.147809 6.81680i −0.00556681 0.256736i
\(706\) 8.61066 10.2618i 0.324066 0.386207i
\(707\) −3.77518 + 10.3722i −0.141980 + 0.390088i
\(708\) −15.8109 + 9.59132i −0.594209 + 0.360464i
\(709\) −22.6869 + 19.0365i −0.852023 + 0.714933i −0.960234 0.279195i \(-0.909932\pi\)
0.108211 + 0.994128i \(0.465488\pi\)
\(710\) −8.70615 + 5.02650i −0.326736 + 0.188641i
\(711\) −3.04594 0.401854i −0.114232 0.0150707i
\(712\) 0.295374 + 1.67515i 0.0110696 + 0.0627789i
\(713\) −0.570807 3.23721i −0.0213769 0.121234i
\(714\) −8.66346 2.94217i −0.324222 0.110108i
\(715\) 6.76402 3.90521i 0.252960 0.146047i
\(716\) −11.9486 + 10.0261i −0.446541 + 0.374692i
\(717\) −20.2042 33.3058i −0.754541 1.24383i
\(718\) 10.0496 27.6110i 0.375048 1.03043i
\(719\) −2.53738 + 3.02393i −0.0946283 + 0.112774i −0.811281 0.584657i \(-0.801229\pi\)
0.716652 + 0.697431i \(0.245673\pi\)
\(720\) −2.92907 + 0.648517i −0.109160 + 0.0241688i
\(721\) 8.33849i 0.310542i
\(722\) 15.4049 + 11.1216i 0.573310 + 0.413904i
\(723\) 3.40320 + 17.1213i 0.126566 + 0.636748i
\(724\) −7.60377 1.34075i −0.282592 0.0498286i
\(725\) −3.43036 2.87841i −0.127400 0.106902i
\(726\) 9.77078 + 1.50524i 0.362628 + 0.0558646i
\(727\) 29.7539 10.8295i 1.10351 0.401646i 0.274903 0.961472i \(-0.411354\pi\)
0.828610 + 0.559826i \(0.189132\pi\)
\(728\) −2.33448 2.78213i −0.0865216 0.103112i
\(729\) −26.7719 + 3.50221i −0.991552 + 0.129711i
\(730\) 14.6419 + 8.45352i 0.541922 + 0.312879i
\(731\) 41.9327 7.39387i 1.55094 0.273472i
\(732\) −3.11250 8.00704i −0.115041 0.295949i
\(733\) 22.9673 39.7805i 0.848316 1.46933i −0.0343933 0.999408i \(-0.510950\pi\)
0.882710 0.469919i \(-0.155717\pi\)
\(734\) 4.09067 + 7.08525i 0.150989 + 0.261521i
\(735\) −7.90900 6.34943i −0.291728 0.234202i
\(736\) −1.95671 5.37601i −0.0721252 0.198162i
\(737\) −2.73627 0.995922i −0.100792 0.0366853i
\(738\) −15.0098 4.73709i −0.552518 0.174375i
\(739\) −7.48994 + 42.4776i −0.275522 + 1.56256i 0.461777 + 0.886996i \(0.347212\pi\)
−0.737299 + 0.675566i \(0.763899\pi\)
\(740\) 1.64292 0.0603948
\(741\) 18.6459 17.5884i 0.684974 0.646127i
\(742\) 9.08672 0.333584
\(743\) 2.95220 16.7428i 0.108306 0.614232i −0.881543 0.472105i \(-0.843494\pi\)
0.989848 0.142128i \(-0.0453944\pi\)
\(744\) 0.478794 0.872444i 0.0175535 0.0319853i
\(745\) −18.8416 6.85777i −0.690302 0.251249i
\(746\) 8.62591 + 23.6995i 0.315817 + 0.867700i
\(747\) −16.0767 8.37459i −0.588215 0.306410i
\(748\) 5.68008 + 9.83818i 0.207684 + 0.359720i
\(749\) −3.63787 + 6.30098i −0.132925 + 0.230233i
\(750\) 1.61437 0.627540i 0.0589485 0.0229145i
\(751\) −19.8193 + 3.49468i −0.723218 + 0.127523i −0.523127 0.852255i \(-0.675235\pi\)
−0.200091 + 0.979777i \(0.564124\pi\)
\(752\) 3.40920 + 1.96830i 0.124321 + 0.0717767i
\(753\) −20.2448 + 17.7493i −0.737760 + 0.646819i
\(754\) 9.77250 + 11.6464i 0.355894 + 0.424137i
\(755\) 12.5450 4.56601i 0.456559 0.166174i
\(756\) −5.39968 + 1.31894i −0.196384 + 0.0479695i
\(757\) −6.48587 5.44229i −0.235733 0.197803i 0.517267 0.855824i \(-0.326949\pi\)
−0.753000 + 0.658021i \(0.771394\pi\)
\(758\) 21.3600 + 3.76635i 0.775831 + 0.136800i
\(759\) 22.3585 4.44420i 0.811561 0.161314i
\(760\) −1.63895 4.03904i −0.0594510 0.146511i
\(761\) 15.7953i 0.572578i −0.958143 0.286289i \(-0.907578\pi\)
0.958143 0.286289i \(-0.0924218\pi\)
\(762\) 24.7849 0.537412i 0.897862 0.0194684i
\(763\) −9.45817 + 11.2718i −0.342409 + 0.408067i
\(764\) 0.437099 1.20092i 0.0158137 0.0434477i
\(765\) −10.9251 + 10.0055i −0.394996 + 0.361748i
\(766\) −2.29784 + 1.92812i −0.0830244 + 0.0696657i
\(767\) −31.3922 + 18.1243i −1.13351 + 0.654430i
\(768\) 0.556974 1.64005i 0.0200981 0.0591804i
\(769\) −5.18178 29.3873i −0.186860 1.05973i −0.923542 0.383496i \(-0.874720\pi\)
0.736683 0.676239i \(-0.236391\pi\)
\(770\) −0.427329 2.42350i −0.0153999 0.0873370i
\(771\) −9.27677 + 27.3162i −0.334095 + 0.983769i
\(772\) 19.4633 11.2371i 0.700500 0.404434i
\(773\) 16.8996 14.1805i 0.607837