Properties

Label 552.2.bb.a.85.29
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 85.29
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.29

$q$-expansion

\(f(q)\) \(=\) \(q+(0.536245 + 1.30860i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.42488 + 1.40346i) q^{4} +(-2.26933 + 1.03637i) q^{5} +(0.810951 - 1.15860i) q^{6} +(-2.49497 + 0.732589i) q^{7} +(-2.60066 - 1.11201i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(0.536245 + 1.30860i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(-1.42488 + 1.40346i) q^{4} +(-2.26933 + 1.03637i) q^{5} +(0.810951 - 1.15860i) q^{6} +(-2.49497 + 0.732589i) q^{7} +(-2.60066 - 1.11201i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-2.57311 - 2.41391i) q^{10} +(3.71536 - 3.21937i) q^{11} +(1.95102 + 0.439919i) q^{12} +(1.81486 - 6.18084i) q^{13} +(-2.29658 - 2.87208i) q^{14} +(2.09874 + 1.34878i) q^{15} +(0.0605865 - 3.99954i) q^{16} +(0.253473 - 1.76294i) q^{17} +(-1.41311 - 0.0558281i) q^{18} +(2.93640 - 0.422191i) q^{19} +(1.77903 - 4.66163i) q^{20} +(1.96517 + 1.70283i) q^{21} +(6.20522 + 3.13555i) q^{22} +(1.87931 + 4.41228i) q^{23} +(0.470543 + 2.78901i) q^{24} +(0.801505 - 0.924986i) q^{25} +(9.06148 - 0.939513i) q^{26} +(0.989821 - 0.142315i) q^{27} +(2.52688 - 4.54545i) q^{28} +(-8.21491 - 1.18113i) q^{29} +(-0.639578 + 3.46970i) q^{30} +(-7.54861 - 4.85119i) q^{31} +(5.26630 - 2.06545i) q^{32} +(-4.71698 - 1.38503i) q^{33} +(2.44291 - 0.613673i) q^{34} +(4.90268 - 4.24820i) q^{35} +(-0.684716 - 1.87914i) q^{36} +(-6.44490 - 2.94329i) q^{37} +(2.12711 + 3.61619i) q^{38} +(-6.18084 + 1.81486i) q^{39} +(7.05422 - 0.171730i) q^{40} +(-1.79665 - 3.93411i) q^{41} +(-1.17452 + 3.48477i) q^{42} +(-2.68440 - 4.17701i) q^{43} +(-0.775679 + 9.80160i) q^{44} -2.49478i q^{45} +(-4.76615 + 4.82533i) q^{46} +8.53380 q^{47} +(-3.39738 + 2.11135i) q^{48} +(-0.200594 + 0.128914i) q^{49} +(1.64024 + 0.552833i) q^{50} +(-1.62012 + 0.739884i) q^{51} +(6.08862 + 11.3541i) q^{52} +(-1.11051 - 3.78203i) q^{53} +(0.717020 + 1.21897i) q^{54} +(-5.09492 + 11.1563i) q^{55} +(7.30321 + 0.869209i) q^{56} +(-1.94271 - 2.24201i) q^{57} +(-2.85957 - 11.3834i) q^{58} +(-4.07872 + 13.8908i) q^{59} +(-4.88343 + 1.02365i) q^{60} +(5.74932 - 8.94611i) q^{61} +(2.30039 - 12.4796i) q^{62} +(0.370061 - 2.57383i) q^{63} +(5.52688 + 5.78391i) q^{64} +(2.28712 + 15.9073i) q^{65} +(-0.717000 - 6.91537i) q^{66} +(-7.32397 - 6.34625i) q^{67} +(2.11305 + 2.86773i) q^{68} +(2.69581 - 3.96644i) q^{69} +(8.18824 + 4.13759i) q^{70} +(-3.72958 + 4.30416i) q^{71} +(2.09187 - 1.90370i) q^{72} +(-1.02497 - 7.12881i) q^{73} +(0.395552 - 10.0121i) q^{74} +(-1.21147 - 0.174184i) q^{75} +(-3.59150 + 4.72270i) q^{76} +(-6.91122 + 10.7541i) q^{77} +(-5.68938 - 7.11506i) q^{78} +(0.901525 + 0.264712i) q^{79} +(4.00751 + 9.13908i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(4.18475 - 4.46074i) q^{82} +(5.74905 + 2.62550i) q^{83} +(-5.19001 + 0.331709i) q^{84} +(1.25185 + 4.26339i) q^{85} +(4.02655 - 5.75271i) q^{86} +(3.44769 + 7.54938i) q^{87} +(-13.2424 + 4.24100i) q^{88} +(-1.07103 + 0.688312i) q^{89} +(3.26468 - 1.33781i) q^{90} +16.7506i q^{91} +(-8.87027 - 3.64943i) q^{92} +8.97304i q^{93} +(4.57620 + 11.1674i) q^{94} +(-6.22613 + 4.00129i) q^{95} +(-4.58474 - 3.31363i) q^{96} +(-3.10826 - 6.80614i) q^{97} +(-0.276264 - 0.193368i) q^{98} +(1.38503 + 4.71698i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.536245 + 1.30860i 0.379182 + 0.925322i
\(3\) −0.540641 0.841254i −0.312139 0.485698i
\(4\) −1.42488 + 1.40346i −0.712442 + 0.701731i
\(5\) −2.26933 + 1.03637i −1.01488 + 0.463479i −0.852208 0.523202i \(-0.824737\pi\)
−0.162668 + 0.986681i \(0.552010\pi\)
\(6\) 0.810951 1.15860i 0.331069 0.472997i
\(7\) −2.49497 + 0.732589i −0.943009 + 0.276893i −0.716874 0.697203i \(-0.754428\pi\)
−0.226136 + 0.974096i \(0.572609\pi\)
\(8\) −2.60066 1.11201i −0.919473 0.393154i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −2.57311 2.41391i −0.813690 0.763345i
\(11\) 3.71536 3.21937i 1.12022 0.970678i 0.120465 0.992718i \(-0.461561\pi\)
0.999757 + 0.0220398i \(0.00701604\pi\)
\(12\) 1.95102 + 0.439919i 0.563210 + 0.126994i
\(13\) 1.81486 6.18084i 0.503352 1.71426i −0.179551 0.983749i \(-0.557465\pi\)
0.682903 0.730509i \(-0.260717\pi\)
\(14\) −2.29658 2.87208i −0.613787 0.767595i
\(15\) 2.09874 + 1.34878i 0.541893 + 0.348254i
\(16\) 0.0605865 3.99954i 0.0151466 0.999885i
\(17\) 0.253473 1.76294i 0.0614762 0.427576i −0.935720 0.352744i \(-0.885249\pi\)
0.997196 0.0748325i \(-0.0238422\pi\)
\(18\) −1.41311 0.0558281i −0.333074 0.0131588i
\(19\) 2.93640 0.422191i 0.673657 0.0968572i 0.203007 0.979177i \(-0.434929\pi\)
0.470650 + 0.882320i \(0.344019\pi\)
\(20\) 1.77903 4.66163i 0.397803 1.04237i
\(21\) 1.96517 + 1.70283i 0.428836 + 0.371589i
\(22\) 6.20522 + 3.13555i 1.32296 + 0.668502i
\(23\) 1.87931 + 4.41228i 0.391864 + 0.920023i
\(24\) 0.470543 + 2.78901i 0.0960492 + 0.569305i
\(25\) 0.801505 0.924986i 0.160301 0.184997i
\(26\) 9.06148 0.939513i 1.77710 0.184254i
\(27\) 0.989821 0.142315i 0.190491 0.0273885i
\(28\) 2.52688 4.54545i 0.477535 0.859009i
\(29\) −8.21491 1.18113i −1.52547 0.219329i −0.672031 0.740523i \(-0.734578\pi\)
−0.853439 + 0.521193i \(0.825487\pi\)
\(30\) −0.639578 + 3.46970i −0.116771 + 0.633477i
\(31\) −7.54861 4.85119i −1.35577 0.871300i −0.357726 0.933826i \(-0.616448\pi\)
−0.998043 + 0.0625263i \(0.980084\pi\)
\(32\) 5.26630 2.06545i 0.930959 0.365123i
\(33\) −4.71698 1.38503i −0.821121 0.241103i
\(34\) 2.44291 0.613673i 0.418956 0.105244i
\(35\) 4.90268 4.24820i 0.828704 0.718076i
\(36\) −0.684716 1.87914i −0.114119 0.313190i
\(37\) −6.44490 2.94329i −1.05953 0.483873i −0.192075 0.981380i \(-0.561522\pi\)
−0.867460 + 0.497507i \(0.834249\pi\)
\(38\) 2.12711 + 3.61619i 0.345063 + 0.586623i
\(39\) −6.18084 + 1.81486i −0.989727 + 0.290610i
\(40\) 7.05422 0.171730i 1.11537 0.0271529i
\(41\) −1.79665 3.93411i −0.280589 0.614405i 0.715893 0.698210i \(-0.246020\pi\)
−0.996482 + 0.0838053i \(0.973293\pi\)
\(42\) −1.17452 + 3.48477i −0.181232 + 0.537711i
\(43\) −2.68440 4.17701i −0.409367 0.636988i 0.573949 0.818891i \(-0.305411\pi\)
−0.983316 + 0.181903i \(0.941774\pi\)
\(44\) −0.775679 + 9.80160i −0.116938 + 1.47765i
\(45\) 2.49478i 0.371900i
\(46\) −4.76615 + 4.82533i −0.702730 + 0.711457i
\(47\) 8.53380 1.24478 0.622391 0.782706i \(-0.286161\pi\)
0.622391 + 0.782706i \(0.286161\pi\)
\(48\) −3.39738 + 2.11135i −0.490370 + 0.304747i
\(49\) −0.200594 + 0.128914i −0.0286563 + 0.0184163i
\(50\) 1.64024 + 0.552833i 0.231965 + 0.0781824i
\(51\) −1.62012 + 0.739884i −0.226862 + 0.103604i
\(52\) 6.08862 + 11.3541i 0.844340 + 1.57453i
\(53\) −1.11051 3.78203i −0.152540 0.519502i 0.847395 0.530964i \(-0.178170\pi\)
−0.999934 + 0.0114611i \(0.996352\pi\)
\(54\) 0.717020 + 1.21897i 0.0975741 + 0.165880i
\(55\) −5.09492 + 11.1563i −0.686998 + 1.50432i
\(56\) 7.30321 + 0.869209i 0.975933 + 0.116153i
\(57\) −1.94271 2.24201i −0.257318 0.296961i
\(58\) −2.85957 11.3834i −0.375481 1.49472i
\(59\) −4.07872 + 13.8908i −0.531004 + 1.80843i 0.0554637 + 0.998461i \(0.482336\pi\)
−0.586468 + 0.809973i \(0.699482\pi\)
\(60\) −4.88343 + 1.02365i −0.630448 + 0.132153i
\(61\) 5.74932 8.94611i 0.736125 1.14543i −0.248139 0.968724i \(-0.579819\pi\)
0.984263 0.176708i \(-0.0565447\pi\)
\(62\) 2.30039 12.4796i 0.292150 1.58490i
\(63\) 0.370061 2.57383i 0.0466233 0.324272i
\(64\) 5.52688 + 5.78391i 0.690860 + 0.722989i
\(65\) 2.28712 + 15.9073i 0.283682 + 1.97305i
\(66\) −0.717000 6.91537i −0.0882567 0.851224i
\(67\) −7.32397 6.34625i −0.894765 0.775318i 0.0804081 0.996762i \(-0.474378\pi\)
−0.975173 + 0.221444i \(0.928923\pi\)
\(68\) 2.11305 + 2.86773i 0.256245 + 0.347763i
\(69\) 2.69581 3.96644i 0.324537 0.477503i
\(70\) 8.18824 + 4.13759i 0.978682 + 0.494537i
\(71\) −3.72958 + 4.30416i −0.442620 + 0.510810i −0.932594 0.360926i \(-0.882461\pi\)
0.489975 + 0.871737i \(0.337006\pi\)
\(72\) 2.09187 1.90370i 0.246529 0.224353i
\(73\) −1.02497 7.12881i −0.119964 0.834365i −0.957593 0.288125i \(-0.906968\pi\)
0.837629 0.546239i \(-0.183941\pi\)
\(74\) 0.395552 10.0121i 0.0459820 1.16389i
\(75\) −1.21147 0.174184i −0.139889 0.0201130i
\(76\) −3.59150 + 4.72270i −0.411974 + 0.541731i
\(77\) −6.91122 + 10.7541i −0.787606 + 1.22554i
\(78\) −5.68938 7.11506i −0.644195 0.805622i
\(79\) 0.901525 + 0.264712i 0.101429 + 0.0297824i 0.332053 0.943261i \(-0.392259\pi\)
−0.230624 + 0.973043i \(0.574077\pi\)
\(80\) 4.00751 + 9.13908i 0.448053 + 1.02178i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 4.18475 4.46074i 0.462128 0.492607i
\(83\) 5.74905 + 2.62550i 0.631040 + 0.288186i 0.705144 0.709064i \(-0.250882\pi\)
−0.0741040 + 0.997251i \(0.523610\pi\)
\(84\) −5.19001 + 0.331709i −0.566276 + 0.0361924i
\(85\) 1.25185 + 4.26339i 0.135782 + 0.462430i
\(86\) 4.02655 5.75271i 0.434194 0.620331i
\(87\) 3.44769 + 7.54938i 0.369631 + 0.809379i
\(88\) −13.2424 + 4.24100i −1.41164 + 0.452092i
\(89\) −1.07103 + 0.688312i −0.113529 + 0.0729609i −0.596173 0.802856i \(-0.703313\pi\)
0.482644 + 0.875817i \(0.339677\pi\)
\(90\) 3.26468 1.33781i 0.344127 0.141018i
\(91\) 16.7506i 1.75594i
\(92\) −8.87027 3.64943i −0.924789 0.380480i
\(93\) 8.97304i 0.930461i
\(94\) 4.57620 + 11.1674i 0.471999 + 1.15182i
\(95\) −6.22613 + 4.00129i −0.638787 + 0.410524i
\(96\) −4.58474 3.31363i −0.467928 0.338196i
\(97\) −3.10826 6.80614i −0.315596 0.691059i 0.683653 0.729807i \(-0.260390\pi\)
−0.999249 + 0.0387485i \(0.987663\pi\)
\(98\) −0.276264 0.193368i −0.0279069 0.0195332i
\(99\) 1.38503 + 4.71698i 0.139201 + 0.474075i
\(100\) 0.156132 + 2.44288i 0.0156132 + 0.244288i
\(101\) 10.6491 + 4.86327i 1.05962 + 0.483913i 0.867490 0.497455i \(-0.165732\pi\)
0.192133 + 0.981369i \(0.438459\pi\)
\(102\) −1.83699 1.72333i −0.181890 0.170636i
\(103\) 2.31960 + 2.67696i 0.228557 + 0.263769i 0.858432 0.512928i \(-0.171439\pi\)
−0.629875 + 0.776697i \(0.716894\pi\)
\(104\) −11.5930 + 14.0561i −1.13679 + 1.37832i
\(105\) −6.22440 1.82765i −0.607439 0.178360i
\(106\) 4.35368 3.48131i 0.422867 0.338134i
\(107\) 10.0446 15.6297i 0.971045 1.51098i 0.115461 0.993312i \(-0.463165\pi\)
0.855584 0.517664i \(-0.173198\pi\)
\(108\) −1.21065 + 1.59196i −0.116495 + 0.153186i
\(109\) −7.46777 1.07370i −0.715283 0.102842i −0.224941 0.974372i \(-0.572219\pi\)
−0.490342 + 0.871530i \(0.663128\pi\)
\(110\) −17.3313 0.684712i −1.65248 0.0652847i
\(111\) 1.00833 + 7.01305i 0.0957060 + 0.665650i
\(112\) 2.77886 + 10.0231i 0.262577 + 0.947095i
\(113\) 7.98575 9.21604i 0.751236 0.866972i −0.243452 0.969913i \(-0.578280\pi\)
0.994687 + 0.102941i \(0.0328252\pi\)
\(114\) 1.89213 3.74450i 0.177214 0.350704i
\(115\) −8.83754 8.06526i −0.824105 0.752089i
\(116\) 13.3630 9.84635i 1.24072 0.914210i
\(117\) 4.86837 + 4.21847i 0.450081 + 0.389998i
\(118\) −20.3648 + 2.11146i −1.87473 + 0.194376i
\(119\) 0.659105 + 4.58418i 0.0604201 + 0.420231i
\(120\) −3.95827 5.84154i −0.361339 0.533257i
\(121\) 1.87404 13.0342i 0.170367 1.18493i
\(122\) 14.7899 + 2.72627i 1.33902 + 0.246825i
\(123\) −2.33824 + 3.63838i −0.210832 + 0.328061i
\(124\) 17.5644 3.68180i 1.57733 0.330635i
\(125\) 2.65405 9.03887i 0.237386 0.808461i
\(126\) 3.56657 0.895940i 0.317735 0.0798167i
\(127\) 0.500748 + 0.577895i 0.0444342 + 0.0512798i 0.777532 0.628844i \(-0.216472\pi\)
−0.733097 + 0.680124i \(0.761926\pi\)
\(128\) −4.60509 + 10.3341i −0.407036 + 0.913412i
\(129\) −2.06263 + 4.51652i −0.181604 + 0.397658i
\(130\) −19.5898 + 11.5231i −1.71814 + 1.01064i
\(131\) 1.78108 + 6.06579i 0.155614 + 0.529971i 0.999983 0.00578998i \(-0.00184302\pi\)
−0.844370 + 0.535761i \(0.820025\pi\)
\(132\) 8.66499 4.64660i 0.754191 0.404435i
\(133\) −7.01694 + 3.20453i −0.608446 + 0.277868i
\(134\) 4.37729 12.9873i 0.378140 1.12193i
\(135\) −2.09874 + 1.34878i −0.180631 + 0.116085i
\(136\) −2.61960 + 4.30295i −0.224629 + 0.368975i
\(137\) −1.06203 −0.0907357 −0.0453678 0.998970i \(-0.514446\pi\)
−0.0453678 + 0.998970i \(0.514446\pi\)
\(138\) 6.63610 + 1.40076i 0.564903 + 0.119241i
\(139\) 8.91669i 0.756304i 0.925744 + 0.378152i \(0.123440\pi\)
−0.925744 + 0.378152i \(0.876560\pi\)
\(140\) −1.02356 + 12.9339i −0.0865070 + 1.09312i
\(141\) −4.61372 7.17909i −0.388545 0.604588i
\(142\) −7.63241 2.57245i −0.640498 0.215876i
\(143\) −13.1556 28.8068i −1.10013 2.40894i
\(144\) 3.61294 + 1.71658i 0.301079 + 0.143048i
\(145\) 19.8664 5.83331i 1.64982 0.484430i
\(146\) 8.77915 5.16406i 0.726568 0.427381i
\(147\) 0.216898 + 0.0990542i 0.0178895 + 0.00816985i
\(148\) 13.3140 4.85133i 1.09441 0.398777i
\(149\) −9.19730 + 7.96951i −0.753472 + 0.652887i −0.944431 0.328711i \(-0.893386\pi\)
0.190958 + 0.981598i \(0.438840\pi\)
\(150\) −0.421709 1.67874i −0.0344324 0.137069i
\(151\) 16.3136 + 4.79011i 1.32758 + 0.389813i 0.867223 0.497919i \(-0.165902\pi\)
0.460359 + 0.887733i \(0.347721\pi\)
\(152\) −8.10607 2.16733i −0.657489 0.175793i
\(153\) 1.49833 + 0.962920i 0.121133 + 0.0778474i
\(154\) −17.7789 3.27723i −1.43266 0.264087i
\(155\) 22.1579 + 3.18583i 1.77977 + 0.255892i
\(156\) 6.25990 11.2605i 0.501193 0.901565i
\(157\) −22.2349 + 3.19690i −1.77454 + 0.255140i −0.950352 0.311177i \(-0.899277\pi\)
−0.824187 + 0.566317i \(0.808368\pi\)
\(158\) 0.137035 + 1.32169i 0.0109020 + 0.105148i
\(159\) −2.58127 + 2.97894i −0.204708 + 0.236245i
\(160\) −9.81042 + 10.1450i −0.775582 + 0.802034i
\(161\) −7.92121 9.63172i −0.624279 0.759086i
\(162\) 0.637811 1.26222i 0.0501111 0.0991693i
\(163\) −5.53347 4.79478i −0.433415 0.375556i 0.410654 0.911791i \(-0.365301\pi\)
−0.844069 + 0.536235i \(0.819846\pi\)
\(164\) 8.08139 + 3.08412i 0.631051 + 0.240829i
\(165\) 12.1398 1.74544i 0.945083 0.135882i
\(166\) −0.352844 + 8.93113i −0.0273860 + 0.693190i
\(167\) −1.01076 + 7.02997i −0.0782147 + 0.543995i 0.912609 + 0.408834i \(0.134064\pi\)
−0.990824 + 0.135162i \(0.956845\pi\)
\(168\) −3.21719 6.61378i −0.248212 0.510264i
\(169\) −23.9728 15.4064i −1.84406 1.18511i
\(170\) −4.90779 + 3.92439i −0.376411 + 0.300987i
\(171\) −0.835787 + 2.84643i −0.0639142 + 0.217672i
\(172\) 9.68723 + 2.18430i 0.738645 + 0.166551i
\(173\) 11.5461 10.0048i 0.877837 0.760650i −0.0941816 0.995555i \(-0.530023\pi\)
0.972018 + 0.234905i \(0.0754780\pi\)
\(174\) −8.03034 + 8.55997i −0.608779 + 0.648930i
\(175\) −1.32210 + 2.89499i −0.0999410 + 0.218840i
\(176\) −12.6509 15.0548i −0.953599 1.13480i
\(177\) 13.8908 4.07872i 1.04410 0.306575i
\(178\) −1.47506 1.03245i −0.110561 0.0773857i
\(179\) −18.6525 + 8.51832i −1.39416 + 0.636689i −0.963960 0.266047i \(-0.914282\pi\)
−0.430195 + 0.902736i \(0.641555\pi\)
\(180\) 3.50133 + 3.55477i 0.260974 + 0.264957i
\(181\) 1.26051 + 1.96139i 0.0936927 + 0.145789i 0.884936 0.465713i \(-0.154202\pi\)
−0.791243 + 0.611502i \(0.790566\pi\)
\(182\) −21.9198 + 8.98240i −1.62481 + 0.665819i
\(183\) −10.6343 −0.786107
\(184\) 0.0190265 13.5646i 0.00140266 0.999999i
\(185\) 17.6760 1.29956
\(186\) −11.7422 + 4.81175i −0.860976 + 0.352814i
\(187\) −4.73383 7.36598i −0.346172 0.538654i
\(188\) −12.1597 + 11.9769i −0.886835 + 0.873502i
\(189\) −2.36531 + 1.08020i −0.172051 + 0.0785732i
\(190\) −8.57483 6.00186i −0.622083 0.435421i
\(191\) −11.1346 + 3.26942i −0.805673 + 0.236567i −0.658536 0.752549i \(-0.728824\pi\)
−0.147137 + 0.989116i \(0.547006\pi\)
\(192\) 1.87768 7.77652i 0.135510 0.561222i
\(193\) −4.41382 + 9.66493i −0.317714 + 0.695697i −0.999352 0.0359929i \(-0.988541\pi\)
0.681638 + 0.731690i \(0.261268\pi\)
\(194\) 7.23975 7.71723i 0.519783 0.554065i
\(195\) 12.1455 10.5242i 0.869759 0.753651i
\(196\) 0.104897 0.465213i 0.00749265 0.0332295i
\(197\) −5.00416 + 17.0426i −0.356531 + 1.21423i 0.564725 + 0.825279i \(0.308982\pi\)
−0.921257 + 0.388955i \(0.872836\pi\)
\(198\) −5.42994 + 4.34191i −0.385889 + 0.308566i
\(199\) 7.18828 + 4.61962i 0.509563 + 0.327476i 0.770031 0.638006i \(-0.220241\pi\)
−0.260468 + 0.965482i \(0.583877\pi\)
\(200\) −3.11304 + 1.51430i −0.220125 + 0.107077i
\(201\) −1.37917 + 9.59236i −0.0972794 + 0.676593i
\(202\) −0.653581 + 16.5433i −0.0459858 + 1.16398i
\(203\) 21.3612 3.07128i 1.49926 0.215561i
\(204\) 1.27008 3.32802i 0.0889235 0.233008i
\(205\) 8.15438 + 7.06581i 0.569527 + 0.493498i
\(206\) −2.25920 + 4.47094i −0.157406 + 0.311505i
\(207\) −4.79424 0.123441i −0.333223 0.00857978i
\(208\) −24.6106 7.63308i −1.70644 0.529259i
\(209\) 9.55059 11.0220i 0.660628 0.762405i
\(210\) −0.946134 9.12533i −0.0652894 0.629708i
\(211\) 0.978058 0.140624i 0.0673323 0.00968093i −0.108566 0.994089i \(-0.534626\pi\)
0.175899 + 0.984408i \(0.443717\pi\)
\(212\) 6.89029 + 3.83041i 0.473227 + 0.263073i
\(213\) 5.63726 + 0.810515i 0.386258 + 0.0555356i
\(214\) 25.8394 + 4.76304i 1.76634 + 0.325594i
\(215\) 10.4207 + 6.69699i 0.710687 + 0.456731i
\(216\) −2.73245 0.730577i −0.185919 0.0497094i
\(217\) 22.3875 + 6.57355i 1.51976 + 0.446242i
\(218\) −2.59950 10.3481i −0.176060 0.700863i
\(219\) −5.44300 + 4.71639i −0.367804 + 0.318704i
\(220\) −8.39780 23.0470i −0.566180 1.55383i
\(221\) −10.4365 4.76617i −0.702032 0.320607i
\(222\) −8.63660 + 5.08021i −0.579650 + 0.340961i
\(223\) 14.3379 4.20999i 0.960137 0.281922i 0.236135 0.971720i \(-0.424119\pi\)
0.724001 + 0.689799i \(0.242301\pi\)
\(224\) −11.6261 + 9.01126i −0.776803 + 0.602090i
\(225\) 0.508440 + 1.11333i 0.0338960 + 0.0742219i
\(226\) 16.3425 + 5.50812i 1.08708 + 0.366395i
\(227\) −10.2597 15.9644i −0.680960 1.05959i −0.993950 0.109837i \(-0.964967\pi\)
0.312990 0.949756i \(-0.398669\pi\)
\(228\) 5.91470 + 0.468078i 0.391711 + 0.0309992i
\(229\) 0.817962i 0.0540525i −0.999635 0.0270262i \(-0.991396\pi\)
0.999635 0.0270262i \(-0.00860377\pi\)
\(230\) 5.81514 15.8898i 0.383439 1.04774i
\(231\) 12.7834 0.841085
\(232\) 20.0508 + 12.2067i 1.31640 + 0.801412i
\(233\) −2.28765 + 1.47019i −0.149869 + 0.0963151i −0.613426 0.789752i \(-0.710209\pi\)
0.463557 + 0.886067i \(0.346573\pi\)
\(234\) −2.90966 + 8.63290i −0.190211 + 0.564350i
\(235\) −19.3660 + 8.84417i −1.26330 + 0.576930i
\(236\) −13.6836 25.5172i −0.890725 1.66103i
\(237\) −0.264712 0.901525i −0.0171949 0.0585603i
\(238\) −5.64543 + 3.32075i −0.365939 + 0.215252i
\(239\) 1.95146 4.27309i 0.126229 0.276403i −0.835958 0.548794i \(-0.815087\pi\)
0.962187 + 0.272391i \(0.0878144\pi\)
\(240\) 5.52166 8.31229i 0.356422 0.536556i
\(241\) 1.06439 + 1.22837i 0.0685631 + 0.0791260i 0.788995 0.614400i \(-0.210602\pi\)
−0.720432 + 0.693526i \(0.756056\pi\)
\(242\) 18.0615 4.53715i 1.16104 0.291659i
\(243\) −0.281733 + 0.959493i −0.0180732 + 0.0615515i
\(244\) 4.36342 + 20.8161i 0.279340 + 1.33262i
\(245\) 0.321612 0.500438i 0.0205470 0.0319718i
\(246\) −6.01506 1.10877i −0.383506 0.0706927i
\(247\) 2.71966 18.9157i 0.173048 1.20357i
\(248\) 14.2368 + 21.0104i 0.904038 + 1.33416i
\(249\) −0.899457 6.25586i −0.0570008 0.396449i
\(250\) 13.2515 1.37394i 0.838099 0.0868959i
\(251\) −3.66156 3.17276i −0.231116 0.200263i 0.531602 0.846994i \(-0.321590\pi\)
−0.762718 + 0.646731i \(0.776136\pi\)
\(252\) 3.08498 + 4.18678i 0.194336 + 0.263742i
\(253\) 21.1871 + 10.3430i 1.33202 + 0.650256i
\(254\) −0.487711 + 0.965174i −0.0306017 + 0.0605604i
\(255\) 2.90980 3.35808i 0.182219 0.210291i
\(256\) −15.9927 0.484636i −0.999541 0.0302898i
\(257\) −0.351940 2.44779i −0.0219534 0.152689i 0.975896 0.218235i \(-0.0700301\pi\)
−0.997850 + 0.0655463i \(0.979121\pi\)
\(258\) −7.01641 0.277199i −0.436822 0.0172577i
\(259\) 18.2360 + 2.62195i 1.13313 + 0.162920i
\(260\) −25.5841 19.4561i −1.58666 1.20662i
\(261\) 4.48698 6.98188i 0.277737 0.432168i
\(262\) −6.98262 + 5.58347i −0.431388 + 0.344948i
\(263\) 5.90435 + 1.73367i 0.364078 + 0.106903i 0.458654 0.888615i \(-0.348332\pi\)
−0.0945768 + 0.995518i \(0.530150\pi\)
\(264\) 10.7271 + 8.84732i 0.660208 + 0.544515i
\(265\) 6.43969 + 7.43180i 0.395587 + 0.456532i
\(266\) −7.95625 7.46398i −0.487829 0.457646i
\(267\) 1.15809 + 0.528882i 0.0708739 + 0.0323670i
\(268\) 19.3425 1.23624i 1.18153 0.0755154i
\(269\) 1.89761 + 6.46268i 0.115700 + 0.394037i 0.996897 0.0787109i \(-0.0250804\pi\)
−0.881198 + 0.472748i \(0.843262\pi\)
\(270\) −2.89046 2.02315i −0.175908 0.123125i
\(271\) 5.51868 + 12.0842i 0.335236 + 0.734064i 0.999915 0.0130652i \(-0.00415891\pi\)
−0.664679 + 0.747129i \(0.731432\pi\)
\(272\) −7.03560 1.12059i −0.426596 0.0679455i
\(273\) 14.0915 9.05604i 0.852854 0.548096i
\(274\) −0.569510 1.38978i −0.0344053 0.0839597i
\(275\) 6.01700i 0.362839i
\(276\) 1.72553 + 9.43518i 0.103865 + 0.567931i
\(277\) 17.0554i 1.02476i −0.858758 0.512381i \(-0.828763\pi\)
0.858758 0.512381i \(-0.171237\pi\)
\(278\) −11.6684 + 4.78153i −0.699824 + 0.286777i
\(279\) 7.54861 4.85119i 0.451923 0.290433i
\(280\) −17.4742 + 5.59630i −1.04429 + 0.334443i
\(281\) 5.94061 + 13.0081i 0.354387 + 0.775999i 0.999925 + 0.0122709i \(0.00390603\pi\)
−0.645538 + 0.763728i \(0.723367\pi\)
\(282\) 6.92049 9.88727i 0.412109 0.588778i
\(283\) −1.43324 4.88117i −0.0851974 0.290156i 0.905863 0.423571i \(-0.139224\pi\)
−0.991060 + 0.133416i \(0.957405\pi\)
\(284\) −0.726516 11.3673i −0.0431108 0.674523i
\(285\) 6.73220 + 3.07449i 0.398781 + 0.182117i
\(286\) 30.6420 32.6629i 1.81190 1.93140i
\(287\) 7.36467 + 8.49928i 0.434722 + 0.501696i
\(288\) −0.308902 + 5.64841i −0.0182022 + 0.332836i
\(289\) 13.2677 + 3.89574i 0.780451 + 0.229161i
\(290\) 18.2868 + 22.8692i 1.07384 + 1.34293i
\(291\) −4.04524 + 6.29451i −0.237136 + 0.368991i
\(292\) 11.4655 + 8.71923i 0.670967 + 0.510254i
\(293\) 1.93509 + 0.278224i 0.113049 + 0.0162540i 0.198607 0.980079i \(-0.436358\pi\)
−0.0855581 + 0.996333i \(0.527267\pi\)
\(294\) −0.0133120 + 0.336951i −0.000776373 + 0.0196514i
\(295\) −5.14007 35.7500i −0.299267 2.08145i
\(296\) 13.4880 + 14.8213i 0.783976 + 0.861469i
\(297\) 3.21937 3.71536i 0.186807 0.215587i
\(298\) −15.3609 7.76201i −0.889834 0.449641i
\(299\) 30.6823 3.60809i 1.77440 0.208661i
\(300\) 1.97067 1.45207i 0.113777 0.0838352i
\(301\) 9.75752 + 8.45494i 0.562414 + 0.487335i
\(302\) 2.47973 + 23.9167i 0.142693 + 1.37625i
\(303\) −1.66608 11.5879i −0.0957139 0.665705i
\(304\) −1.51066 11.7698i −0.0866425 0.675047i
\(305\) −3.77564 + 26.2601i −0.216192 + 1.50365i
\(306\) −0.456607 + 2.47708i −0.0261025 + 0.141605i
\(307\) 5.82245 9.05991i 0.332305 0.517077i −0.634388 0.773015i \(-0.718748\pi\)
0.966693 + 0.255938i \(0.0823843\pi\)
\(308\) −5.24525 25.0229i −0.298876 1.42581i
\(309\) 0.997931 3.39864i 0.0567703 0.193342i
\(310\) 7.71308 + 30.7043i 0.438074 + 1.74389i
\(311\) −9.14397 10.5527i −0.518507 0.598389i 0.434750 0.900551i \(-0.356837\pi\)
−0.953256 + 0.302163i \(0.902291\pi\)
\(312\) 18.0924 + 2.15331i 1.02428 + 0.121907i
\(313\) −9.66041 + 21.1534i −0.546039 + 1.19566i 0.412569 + 0.910927i \(0.364632\pi\)
−0.958607 + 0.284732i \(0.908096\pi\)
\(314\) −16.1068 27.3824i −0.908961 1.54528i
\(315\) 1.82765 + 6.22440i 0.102976 + 0.350705i
\(316\) −1.65608 + 0.888073i −0.0931618 + 0.0499580i
\(317\) −9.37272 + 4.28038i −0.526424 + 0.240410i −0.660856 0.750513i \(-0.729806\pi\)
0.134431 + 0.990923i \(0.457079\pi\)
\(318\) −5.28244 1.78041i −0.296224 0.0998405i
\(319\) −34.3238 + 22.0586i −1.92176 + 1.23504i
\(320\) −18.5366 7.39773i −1.03623 0.413546i
\(321\) −18.5790 −1.03698
\(322\) 8.35640 15.5307i 0.465684 0.865491i
\(323\) 5.28372i 0.293994i
\(324\) 1.99377 + 0.157783i 0.110765 + 0.00876571i
\(325\) −4.26258 6.63270i −0.236445 0.367916i
\(326\) 3.30717 9.81229i 0.183167 0.543453i
\(327\) 3.13413 + 6.86278i 0.173318 + 0.379513i
\(328\) 0.297711 + 12.2292i 0.0164383 + 0.675243i
\(329\) −21.2915 + 6.25176i −1.17384 + 0.344671i
\(330\) 8.79399 + 14.9502i 0.484093 + 0.822982i
\(331\) 8.60315 + 3.92893i 0.472872 + 0.215953i 0.637573 0.770390i \(-0.279939\pi\)
−0.164701 + 0.986344i \(0.552666\pi\)
\(332\) −11.8765 + 4.32754i −0.651808 + 0.237504i
\(333\) 5.35462 4.63980i 0.293431 0.254260i
\(334\) −9.74145 + 2.44710i −0.533028 + 0.133900i
\(335\) 23.1976 + 6.81143i 1.26742 + 0.372148i
\(336\) 6.92962 7.75663i 0.378042 0.423159i
\(337\) −11.7394 7.54444i −0.639484 0.410972i 0.180326 0.983607i \(-0.442285\pi\)
−0.819810 + 0.572635i \(0.805921\pi\)
\(338\) 7.30557 39.6325i 0.397370 2.15572i
\(339\) −12.0704 1.73547i −0.655577 0.0942577i
\(340\) −7.76725 4.31792i −0.421238 0.234172i
\(341\) −43.6636 + 6.27787i −2.36451 + 0.339966i
\(342\) −4.17303 + 0.432669i −0.225652 + 0.0233961i
\(343\) 12.3259 14.2248i 0.665534 0.768068i
\(344\) 2.33635 + 13.8481i 0.125968 + 0.746637i
\(345\) −2.00699 + 11.7950i −0.108053 + 0.635022i
\(346\) 19.2838 + 9.74430i 1.03671 + 0.523857i
\(347\) 9.33432 + 8.08823i 0.501092 + 0.434199i 0.868373 0.495911i \(-0.165166\pi\)
−0.367281 + 0.930110i \(0.619711\pi\)
\(348\) −15.5078 5.91829i −0.831307 0.317254i
\(349\) 28.6029 4.11248i 1.53108 0.220136i 0.675325 0.737520i \(-0.264003\pi\)
0.855753 + 0.517384i \(0.173094\pi\)
\(350\) −4.49735 0.177678i −0.240394 0.00949729i
\(351\) 0.916761 6.37621i 0.0489331 0.340337i
\(352\) 12.9167 24.6281i 0.688464 1.31268i
\(353\) −9.74320 6.26157i −0.518578 0.333270i 0.255031 0.966933i \(-0.417914\pi\)
−0.773609 + 0.633663i \(0.781551\pi\)
\(354\) 12.7863 + 15.9904i 0.679585 + 0.849880i
\(355\) 4.00295 13.6328i 0.212455 0.723554i
\(356\) 0.560079 2.48392i 0.0296841 0.131647i
\(357\) 3.50012 3.03287i 0.185246 0.160516i
\(358\) −21.1494 19.8408i −1.11778 1.04862i
\(359\) 5.26744 11.5341i 0.278005 0.608745i −0.718195 0.695842i \(-0.755031\pi\)
0.996200 + 0.0870963i \(0.0277588\pi\)
\(360\) −2.77422 + 6.48808i −0.146214 + 0.341952i
\(361\) −9.78615 + 2.87347i −0.515061 + 0.151235i
\(362\) −1.89074 + 2.70129i −0.0993749 + 0.141976i
\(363\) −11.9783 + 5.47028i −0.628695 + 0.287115i
\(364\) −23.5088 23.8676i −1.23219 1.25100i
\(365\) 9.71408 + 15.1154i 0.508458 + 0.791176i
\(366\) −5.70257 13.9160i −0.298078 0.727402i
\(367\) 27.1188 1.41559 0.707795 0.706418i \(-0.249690\pi\)
0.707795 + 0.706418i \(0.249690\pi\)
\(368\) 17.7609 7.24907i 0.925853 0.377884i
\(369\) 4.32495 0.225148
\(370\) 9.47863 + 23.1308i 0.492771 + 1.20251i
\(371\) 5.54135 + 8.62251i 0.287693 + 0.447659i
\(372\) −12.5933 12.7855i −0.652934 0.662900i
\(373\) −4.61647 + 2.10827i −0.239032 + 0.109162i −0.531330 0.847165i \(-0.678307\pi\)
0.292298 + 0.956327i \(0.405580\pi\)
\(374\) 7.10066 10.1447i 0.367166 0.524568i
\(375\) −9.03887 + 2.65405i −0.466765 + 0.137055i
\(376\) −22.1935 9.48965i −1.14454 0.489391i
\(377\) −22.2093 + 48.6315i −1.14383 + 2.50465i
\(378\) −2.68194 2.51601i −0.137944 0.129409i
\(379\) 13.4409 11.6466i 0.690412 0.598245i −0.237347 0.971425i \(-0.576278\pi\)
0.927759 + 0.373180i \(0.121732\pi\)
\(380\) 3.25585 14.4395i 0.167021 0.740731i
\(381\) 0.215431 0.733690i 0.0110369 0.0375881i
\(382\) −10.2493 12.8176i −0.524398 0.655805i
\(383\) −18.6265 11.9705i −0.951769 0.611665i −0.0300603 0.999548i \(-0.509570\pi\)
−0.921708 + 0.387884i \(0.873206\pi\)
\(384\) 11.1833 1.71298i 0.570694 0.0874151i
\(385\) 4.53867 31.5671i 0.231312 1.60881i
\(386\) −15.0144 0.593179i −0.764215 0.0301920i
\(387\) 4.91468 0.706624i 0.249827 0.0359197i
\(388\) 13.9811 + 5.33563i 0.709781 + 0.270876i
\(389\) 2.34444 + 2.03147i 0.118868 + 0.103000i 0.712266 0.701909i \(-0.247669\pi\)
−0.593399 + 0.804909i \(0.702214\pi\)
\(390\) 20.2849 + 10.2502i 1.02717 + 0.519037i
\(391\) 8.25494 2.19473i 0.417470 0.110992i
\(392\) 0.665030 0.112199i 0.0335891 0.00566692i
\(393\) 4.13995 4.77775i 0.208833 0.241006i
\(394\) −24.9854 + 2.59054i −1.25875 + 0.130510i
\(395\) −2.32020 + 0.333594i −0.116742 + 0.0167850i
\(396\) −8.59362 4.77731i −0.431845 0.240069i
\(397\) 9.15193 + 1.31585i 0.459322 + 0.0660406i 0.368092 0.929789i \(-0.380011\pi\)
0.0912301 + 0.995830i \(0.470920\pi\)
\(398\) −2.19058 + 11.8838i −0.109804 + 0.595683i
\(399\) 6.48946 + 4.17053i 0.324880 + 0.208787i
\(400\) −3.65096 3.26170i −0.182548 0.163085i
\(401\) 15.7838 + 4.63454i 0.788205 + 0.231438i 0.650973 0.759101i \(-0.274361\pi\)
0.137232 + 0.990539i \(0.456179\pi\)
\(402\) −13.2922 + 3.33906i −0.662953 + 0.166537i
\(403\) −43.6841 + 37.8525i −2.17606 + 1.88557i
\(404\) −21.9991 + 8.01598i −1.09450 + 0.398810i
\(405\) 2.26933 + 1.03637i 0.112764 + 0.0514976i
\(406\) 15.4739 + 26.3064i 0.767958 + 1.30556i
\(407\) −33.4206 + 9.81318i −1.65660 + 0.486421i
\(408\) 5.03614 0.122601i 0.249326 0.00606967i
\(409\) −9.56672 20.9482i −0.473044 1.03582i −0.984318 0.176404i \(-0.943554\pi\)
0.511274 0.859418i \(-0.329174\pi\)
\(410\) −4.87360 + 14.4599i −0.240690 + 0.714121i
\(411\) 0.574179 + 0.893440i 0.0283222 + 0.0440701i
\(412\) −7.06217 0.558886i −0.347928 0.0275343i
\(413\) 37.6452i 1.85240i
\(414\) −2.40935 6.33996i −0.118413 0.311592i
\(415\) −15.7675 −0.773996
\(416\) −3.20862 36.2987i −0.157315 1.77969i
\(417\) 7.50120 4.82073i 0.367335 0.236072i
\(418\) 19.5448 + 6.58746i 0.955969 + 0.322203i
\(419\) −15.9425 + 7.28070i −0.778842 + 0.355685i −0.764843 0.644217i \(-0.777184\pi\)
−0.0139993 + 0.999902i \(0.504456\pi\)
\(420\) 11.4341 6.13152i 0.557926 0.299188i
\(421\) −11.0122 37.5040i −0.536701 1.82784i −0.560551 0.828120i \(-0.689411\pi\)
0.0238500 0.999716i \(-0.492408\pi\)
\(422\) 0.708499 + 1.20448i 0.0344892 + 0.0586332i
\(423\) −3.54507 + 7.76261i −0.172367 + 0.377431i
\(424\) −1.31760 + 11.0707i −0.0639885 + 0.537640i
\(425\) −1.42754 1.64747i −0.0692458 0.0799139i
\(426\) 1.96231 + 7.81157i 0.0950740 + 0.378472i
\(427\) −7.79054 + 26.5321i −0.377011 + 1.28398i
\(428\) 7.62329 + 36.3676i 0.368486 + 1.75790i
\(429\) −17.1213 + 26.6413i −0.826625 + 1.28625i
\(430\) −3.17565 + 17.2278i −0.153143 + 0.830799i
\(431\) 3.11827 21.6881i 0.150202 1.04468i −0.765678 0.643225i \(-0.777596\pi\)
0.915880 0.401453i \(-0.131495\pi\)
\(432\) −0.509224 3.96745i −0.0245001 0.190884i
\(433\) 1.91696 + 13.3328i 0.0921233 + 0.640731i 0.982604 + 0.185711i \(0.0594589\pi\)
−0.890481 + 0.455020i \(0.849632\pi\)
\(434\) 3.40298 + 32.8213i 0.163348 + 1.57547i
\(435\) −15.6479 13.5590i −0.750259 0.650104i
\(436\) 12.1476 8.95084i 0.581765 0.428667i
\(437\) 7.38124 + 12.1628i 0.353093 + 0.581825i
\(438\) −9.09066 4.59359i −0.434368 0.219490i
\(439\) 11.3308 13.0764i 0.540790 0.624104i −0.417923 0.908483i \(-0.637242\pi\)
0.958712 + 0.284378i \(0.0917872\pi\)
\(440\) 25.6561 23.3482i 1.22310 1.11308i
\(441\) −0.0339345 0.236019i −0.00161593 0.0112390i
\(442\) 0.640531 16.2130i 0.0304670 0.771174i
\(443\) −3.13276 0.450424i −0.148842 0.0214003i 0.0674910 0.997720i \(-0.478501\pi\)
−0.216333 + 0.976320i \(0.569410\pi\)
\(444\) −11.2793 8.57764i −0.535292 0.407077i
\(445\) 1.71719 2.67199i 0.0814025 0.126665i
\(446\) 13.1978 + 16.5050i 0.624935 + 0.781536i
\(447\) 11.6768 + 3.42862i 0.552294 + 0.162168i
\(448\) −18.0266 10.3817i −0.851677 0.490491i
\(449\) 0.393845 + 0.454521i 0.0185867 + 0.0214502i 0.764967 0.644070i \(-0.222755\pi\)
−0.746380 + 0.665520i \(0.768210\pi\)
\(450\) −1.18426 + 1.26236i −0.0558264 + 0.0595083i
\(451\) −19.3406 8.83254i −0.910711 0.415908i
\(452\) 1.55561 + 24.3395i 0.0731698 + 1.14483i
\(453\) −4.79011 16.3136i −0.225059 0.766480i
\(454\) 15.3893 21.9867i 0.722258 1.03189i
\(455\) −17.3598 38.0126i −0.813838 1.78206i
\(456\) 2.55920 + 7.99100i 0.119845 + 0.374213i
\(457\) 25.5683 16.4318i 1.19604 0.768646i 0.217770 0.976000i \(-0.430122\pi\)
0.978266 + 0.207354i \(0.0664853\pi\)
\(458\) 1.07039 0.438628i 0.0500159 0.0204957i
\(459\) 1.78107i 0.0831333i
\(460\) 23.9117 0.911097i 1.11489 0.0424801i
\(461\) 22.3125i 1.03920i −0.854410 0.519599i \(-0.826081\pi\)
0.854410 0.519599i \(-0.173919\pi\)
\(462\) 6.85502 + 16.7284i 0.318924 + 0.778274i
\(463\) 24.5615 15.7847i 1.14147 0.733577i 0.173546 0.984826i \(-0.444477\pi\)
0.967923 + 0.251248i \(0.0808411\pi\)
\(464\) −5.22167 + 32.7843i −0.242410 + 1.52197i
\(465\) −9.29939 20.3628i −0.431249 0.944303i
\(466\) −3.15063 2.20525i −0.145950 0.102156i
\(467\) −0.287045 0.977585i −0.0132828 0.0452372i 0.952585 0.304273i \(-0.0984135\pi\)
−0.965868 + 0.259036i \(0.916595\pi\)
\(468\) −12.8573 + 0.821751i −0.594330 + 0.0379855i
\(469\) 22.9223 + 10.4682i 1.05845 + 0.483379i
\(470\) −21.9584 20.5998i −1.01287 0.950198i
\(471\) 14.7105 + 16.9768i 0.677824 + 0.782251i
\(472\) 26.0541 31.5898i 1.19924 1.45404i
\(473\) −23.4209 6.87698i −1.07689 0.316204i
\(474\) 1.03779 0.829840i 0.0476672 0.0381158i
\(475\) 1.96302 3.05452i 0.0900696 0.140151i
\(476\) −7.37287 5.60689i −0.337935 0.256991i
\(477\) 3.90158 + 0.560963i 0.178641 + 0.0256847i
\(478\) 6.63824 + 0.262259i 0.303626 + 0.0119954i
\(479\) −0.341375 2.37431i −0.0155978 0.108485i 0.980535 0.196344i \(-0.0629068\pi\)
−0.996133 + 0.0878584i \(0.971998\pi\)
\(480\) 13.8385 + 2.76824i 0.631636 + 0.126352i
\(481\) −29.8886 + 34.4933i −1.36280 + 1.57276i
\(482\) −1.03667 + 2.05156i −0.0472192 + 0.0934461i
\(483\) −3.82019 + 11.8711i −0.173825 + 0.540152i
\(484\) 15.6227 + 21.2024i 0.710124 + 0.963744i
\(485\) 14.1073 + 12.2241i 0.640582 + 0.555067i
\(486\) −1.40667 + 0.145847i −0.0638080 + 0.00661575i
\(487\) 0.0974437 + 0.677736i 0.00441560 + 0.0307111i 0.991910 0.126942i \(-0.0405163\pi\)
−0.987495 + 0.157653i \(0.949607\pi\)
\(488\) −24.9002 + 16.8725i −1.12718 + 0.763783i
\(489\) −1.04201 + 7.24731i −0.0471211 + 0.327735i
\(490\) 0.827337 + 0.152505i 0.0373753 + 0.00688948i
\(491\) −20.6265 + 32.0954i −0.930859 + 1.44845i −0.0374007 + 0.999300i \(0.511908\pi\)
−0.893459 + 0.449145i \(0.851729\pi\)
\(492\) −1.77460 8.46590i −0.0800052 0.381672i
\(493\) −4.16451 + 14.1830i −0.187560 + 0.638771i
\(494\) 26.2115 6.58446i 1.17931 0.296249i
\(495\) −8.03163 9.26900i −0.360995 0.416611i
\(496\) −19.8599 + 29.8970i −0.891736 + 1.34242i
\(497\) 6.15200 13.4710i 0.275955 0.604257i
\(498\) 7.70411 4.53170i 0.345229 0.203070i
\(499\) −10.2975 35.0701i −0.460980 1.56995i −0.782250 0.622965i \(-0.785928\pi\)
0.321270 0.946988i \(-0.395890\pi\)
\(500\) 8.90400 + 16.6042i 0.398199 + 0.742562i
\(501\) 6.46044 2.95039i 0.288631 0.131813i
\(502\) 2.18839 6.49291i 0.0976728 0.289793i
\(503\) 11.4471 7.35660i 0.510401 0.328015i −0.259964 0.965618i \(-0.583711\pi\)
0.770365 + 0.637604i \(0.220074\pi\)
\(504\) −3.82452 + 6.28215i −0.170358 + 0.279829i
\(505\) −29.2064 −1.29967
\(506\) −2.17337 + 33.2718i −0.0966180 + 1.47911i
\(507\) 28.4966i 1.26558i
\(508\) −1.52456 0.120651i −0.0676415 0.00535301i
\(509\) −5.41814 8.43080i −0.240155 0.373689i 0.700164 0.713982i \(-0.253110\pi\)
−0.940319 + 0.340293i \(0.889474\pi\)
\(510\) 5.95476 + 2.00701i 0.263681 + 0.0888721i
\(511\) 7.77975 + 17.0353i 0.344156 + 0.753597i
\(512\) −7.94178 21.1879i −0.350980 0.936383i
\(513\) 2.84643 0.835787i 0.125673 0.0369009i
\(514\) 3.01446 1.77316i 0.132962 0.0782109i
\(515\) −8.03826 3.67095i −0.354208 0.161761i
\(516\) −3.39977 9.33034i −0.149666 0.410745i
\(517\) 31.7061 27.4735i 1.39443 1.20828i
\(518\) 6.34789 + 25.2697i 0.278910 + 1.11029i
\(519\) −14.6589 4.30423i −0.643453 0.188935i
\(520\) 11.7410 43.9127i 0.514876 1.92570i
\(521\) 22.1454 + 14.2320i 0.970207 + 0.623514i 0.926805 0.375544i \(-0.122544\pi\)
0.0434020 + 0.999058i \(0.486180\pi\)
\(522\) 11.5426 + 2.12768i 0.505207 + 0.0931262i
\(523\) 18.6887 + 2.68703i 0.817200 + 0.117496i 0.538224 0.842802i \(-0.319096\pi\)
0.278977 + 0.960298i \(0.410005\pi\)
\(524\) −11.0509 6.14338i −0.482763 0.268375i
\(525\) 3.15020 0.452930i 0.137486 0.0197675i
\(526\) 0.897484 + 8.65612i 0.0391322 + 0.377425i
\(527\) −10.4657 + 12.0781i −0.455895 + 0.526131i
\(528\) −5.82527 + 18.7819i −0.253513 + 0.817375i
\(529\) −15.9364 + 16.5841i −0.692885 + 0.721048i
\(530\) −6.27203 + 12.4123i −0.272439 + 0.539154i
\(531\) −10.9412 9.48060i −0.474807 0.411423i
\(532\) 5.50089 14.4141i 0.238494 0.624930i
\(533\) −27.5768 + 3.96494i −1.19448 + 0.171741i
\(534\) −0.0710771 + 1.79909i −0.00307580 + 0.0778542i
\(535\) −6.59637 + 45.8788i −0.285186 + 1.98351i
\(536\) 11.9901 + 24.6488i 0.517892 + 1.06466i
\(537\) 17.2504 + 11.0861i 0.744409 + 0.478403i
\(538\) −7.43950 + 5.94880i −0.320740 + 0.256471i
\(539\) −0.330256 + 1.12475i −0.0142251 + 0.0484463i
\(540\) 1.09750 4.86736i 0.0472290 0.209458i
\(541\) −25.2084 + 21.8432i −1.08379 + 0.939113i −0.998361 0.0572309i \(-0.981773\pi\)
−0.0854332 + 0.996344i \(0.527227\pi\)
\(542\) −12.8541 + 13.7019i −0.552130 + 0.588545i
\(543\) 0.968542 2.12081i 0.0415641 0.0910127i
\(544\) −2.30640 9.80772i −0.0988862 0.420502i
\(545\) 18.0596 5.30278i 0.773589 0.227146i
\(546\) 19.4072 + 13.5839i 0.830553 + 0.581337i
\(547\) −4.52157 + 2.06493i −0.193328 + 0.0882900i −0.509727 0.860336i \(-0.670254\pi\)
0.316399 + 0.948626i \(0.397526\pi\)
\(548\) 1.51327 1.49052i 0.0646439 0.0636720i
\(549\) 5.74932 + 8.94611i 0.245375 + 0.381811i
\(550\) 7.87386 3.22658i 0.335743 0.137582i
\(551\) −24.6209 −1.04889
\(552\) −11.4216 + 7.31760i −0.486135 + 0.311458i
\(553\) −2.44320 −0.103895
\(554\) 22.3188 9.14589i 0.948235 0.388572i
\(555\) −9.55634 14.8700i −0.405644 0.631195i
\(556\) −12.5142 12.7052i −0.530722 0.538822i
\(557\) −0.148531 + 0.0678319i −0.00629347 + 0.00287413i −0.418559 0.908189i \(-0.637465\pi\)
0.412266 + 0.911064i \(0.364738\pi\)
\(558\) 10.3962 + 7.27670i 0.440106 + 0.308047i
\(559\) −30.6893 + 9.01118i −1.29802 + 0.381132i
\(560\) −16.6938 19.8659i −0.705442 0.839486i
\(561\) −3.63736 + 7.96470i −0.153569 + 0.336270i
\(562\) −13.8368 + 14.7494i −0.583672 + 0.622167i
\(563\) 20.9140 18.1221i 0.881420 0.763755i −0.0912791 0.995825i \(-0.529096\pi\)
0.972699 + 0.232071i \(0.0745501\pi\)
\(564\) 16.6496 + 3.75418i 0.701074 + 0.158080i
\(565\) −8.57109 + 29.1904i −0.360588 + 1.22805i
\(566\) 5.61895 4.49305i 0.236182 0.188857i
\(567\) 2.18751 + 1.40583i 0.0918668 + 0.0590392i
\(568\) 14.4856 7.04635i 0.607804 0.295658i
\(569\) −3.43240 + 23.8728i −0.143894 + 1.00080i 0.782070 + 0.623190i \(0.214164\pi\)
−0.925964 + 0.377612i \(0.876745\pi\)
\(570\) −0.413185 + 10.4585i −0.0173064 + 0.438056i
\(571\) −5.55222 + 0.798289i −0.232353 + 0.0334074i −0.257508 0.966276i \(-0.582901\pi\)
0.0251545 + 0.999684i \(0.491992\pi\)
\(572\) 59.1744 + 22.5829i 2.47421 + 0.944237i
\(573\) 8.77024 + 7.59946i 0.366382 + 0.317472i
\(574\) −7.17292 + 14.1951i −0.299392 + 0.592493i
\(575\) 5.58758 + 1.79812i 0.233018 + 0.0749869i
\(576\) −7.55718 + 2.62470i −0.314882 + 0.109363i
\(577\) −9.52665 + 10.9943i −0.396600 + 0.457701i −0.918567 0.395265i \(-0.870653\pi\)
0.521967 + 0.852965i \(0.325198\pi\)
\(578\) 2.01674 + 19.4512i 0.0838853 + 0.809062i
\(579\) 10.5169 1.51211i 0.437069 0.0628411i
\(580\) −20.1205 + 36.1936i −0.835459 + 1.50286i
\(581\) −16.2671 2.33886i −0.674873 0.0970321i
\(582\) −10.4063 1.91821i −0.431353 0.0795124i
\(583\) −16.3017 10.4765i −0.675148 0.433891i
\(584\) −5.26170 + 19.6794i −0.217731 + 0.814340i
\(585\) −15.4199 4.52768i −0.637533 0.187196i
\(586\) 0.673596 + 2.68146i 0.0278260 + 0.110770i
\(587\) 10.4445 9.05017i 0.431089 0.373541i −0.412117 0.911131i \(-0.635211\pi\)
0.843206 + 0.537590i \(0.180665\pi\)
\(588\) −0.448074 + 0.163268i −0.0184783 + 0.00673306i
\(589\) −24.2139 11.0581i −0.997715 0.455641i
\(590\) 44.0262 25.8971i 1.81253 1.06616i
\(591\) 17.0426 5.00416i 0.701038 0.205843i
\(592\) −12.1623 + 25.5983i −0.499866 + 1.05208i
\(593\) 10.6045 + 23.2206i 0.435474 + 0.953555i 0.992407 + 0.122998i \(0.0392508\pi\)
−0.556933 + 0.830557i \(0.688022\pi\)
\(594\) 6.58830 + 2.22054i 0.270321 + 0.0911100i
\(595\) −6.24663 9.71995i −0.256087 0.398479i
\(596\) 1.92018 24.2637i 0.0786536 0.993879i
\(597\) 8.54472i 0.349712i
\(598\) 21.1748 + 38.2161i 0.865900 + 1.56277i
\(599\) 24.3980 0.996877 0.498438 0.866925i \(-0.333907\pi\)
0.498438 + 0.866925i \(0.333907\pi\)
\(600\) 2.95694 + 1.80016i 0.120717 + 0.0734913i
\(601\) 13.7405 8.83047i 0.560486 0.360202i −0.229518 0.973304i \(-0.573715\pi\)
0.790004 + 0.613102i \(0.210079\pi\)
\(602\) −5.83174 + 17.3026i −0.237684 + 0.705203i
\(603\) 8.81524 4.02579i 0.358984 0.163943i
\(604\) −29.9677 + 16.0702i −1.21937 + 0.653887i
\(605\) 9.25544 + 31.5211i 0.376287 + 1.28152i
\(606\) 14.2705 8.39416i 0.579698 0.340990i
\(607\) −7.33012 + 16.0507i −0.297520 + 0.651479i −0.998068 0.0621266i \(-0.980212\pi\)
0.700548 + 0.713605i \(0.252939\pi\)
\(608\) 14.5920 8.28837i 0.591782 0.336138i
\(609\) −14.1325 16.3097i −0.572676 0.660904i
\(610\) −36.3887 + 9.14104i −1.47334 + 0.370110i
\(611\) 15.4876 52.7461i 0.626563 2.13388i
\(612\) −3.48637 + 0.730805i −0.140928 + 0.0295410i
\(613\) −8.07873 + 12.5707i −0.326297 + 0.507728i −0.965184 0.261573i \(-0.915759\pi\)
0.638887 + 0.769301i \(0.279395\pi\)
\(614\) 14.9781 + 2.76095i 0.604467 + 0.111423i
\(615\) 1.53555 10.6800i 0.0619193 0.430658i
\(616\) 29.9323 20.2824i 1.20601 0.817199i
\(617\) −0.423933 2.94852i −0.0170669 0.118703i 0.979507 0.201410i \(-0.0645524\pi\)
−0.996574 + 0.0827074i \(0.973643\pi\)
\(618\) 4.98261 0.516607i 0.200430 0.0207810i
\(619\) 24.6741 + 21.3803i 0.991737 + 0.859345i 0.990059 0.140653i \(-0.0449203\pi\)
0.00167853 + 0.999999i \(0.499466\pi\)
\(620\) −36.0437 + 26.5584i −1.44755 + 1.06661i
\(621\) 2.48812 + 4.09991i 0.0998447 + 0.164524i
\(622\) 8.90589 17.6246i 0.357094 0.706684i
\(623\) 2.16795 2.50194i 0.0868569 0.100238i
\(624\) 6.88413 + 24.8305i 0.275586 + 0.994016i
\(625\) 4.21560 + 29.3201i 0.168624 + 1.17281i
\(626\) −32.8617 1.29827i −1.31342 0.0518895i
\(627\) −14.4357 2.07554i −0.576507 0.0828891i
\(628\) 27.1954 35.7611i 1.08522 1.42702i
\(629\) −6.82245 + 10.6159i −0.272029 + 0.423285i
\(630\) −7.16520 + 5.72947i −0.285468 + 0.228267i
\(631\) −16.7757 4.92578i −0.667829 0.196092i −0.0697928 0.997562i \(-0.522234\pi\)
−0.598036 + 0.801469i \(0.704052\pi\)
\(632\) −2.05020 1.69093i −0.0815526 0.0672615i
\(633\) −0.647078 0.746768i −0.0257191 0.0296814i
\(634\) −10.6274 9.96984i −0.422067 0.395953i
\(635\) −1.73528 0.792474i −0.0688624 0.0314484i
\(636\) −0.502826 7.86735i −0.0199384 0.311961i
\(637\) 0.432747 + 1.47380i 0.0171461 + 0.0583941i
\(638\) −47.2718 33.0874i −1.87151 1.30994i
\(639\) −2.36588 5.18056i −0.0935929 0.204940i
\(640\) −0.259452 28.2240i −0.0102557 1.11565i
\(641\) −22.8736 + 14.7000i −0.903454 + 0.580614i −0.907813 0.419376i \(-0.862249\pi\)
0.00435895 + 0.999990i \(0.498612\pi\)
\(642\) −9.96289 24.3125i −0.393204 0.959540i
\(643\) 27.6854i 1.09181i −0.837848 0.545904i \(-0.816186\pi\)
0.837848 0.545904i \(-0.183814\pi\)
\(644\) 24.8046 + 2.60696i 0.977437 + 0.102729i
\(645\) 12.3871i 0.487743i
\(646\) 6.91429 2.83337i 0.272039 0.111477i
\(647\) 6.18926 3.97759i 0.243325 0.156375i −0.413295 0.910597i \(-0.635622\pi\)
0.656620 + 0.754222i \(0.271986\pi\)
\(648\) 0.862671 + 2.69366i 0.0338889 + 0.105817i
\(649\) 29.5659 + 64.7403i 1.16056 + 2.54128i
\(650\) 6.39379 9.13477i 0.250785 0.358295i
\(651\) −6.57355 22.3875i −0.257638 0.877434i
\(652\) 14.6138 0.934015i 0.572322 0.0365789i
\(653\) −16.9152 7.72490i −0.661942 0.302299i 0.0559703 0.998432i \(-0.482175\pi\)
−0.717912 + 0.696134i \(0.754902\pi\)
\(654\) −7.30000 + 7.78146i −0.285452 + 0.304279i
\(655\) −10.3283 11.9195i −0.403559 0.465731i
\(656\) −15.8435 + 6.94741i −0.618584 + 0.271251i
\(657\) 6.91038 + 2.02907i 0.269600 + 0.0791616i
\(658\) −19.5986 24.5097i −0.764031 0.955488i
\(659\) 10.9244 16.9986i 0.425553 0.662173i −0.560586 0.828096i \(-0.689424\pi\)
0.986139 + 0.165923i \(0.0530605\pi\)
\(660\) −14.8482 + 19.5248i −0.577964 + 0.760002i
\(661\) 47.6931 + 6.85723i 1.85505 + 0.266715i 0.977214 0.212255i \(-0.0680808\pi\)
0.877831 + 0.478970i \(0.158990\pi\)
\(662\) −0.528014 + 13.3650i −0.0205218 + 0.519445i
\(663\) 1.63282 + 11.3565i 0.0634134 + 0.441050i
\(664\) −12.0317 13.2210i −0.466922 0.513075i
\(665\) 12.6027 14.5443i 0.488711 0.564003i
\(666\) 8.94304 + 4.51900i 0.346536 + 0.175108i
\(667\) −10.2269 38.4661i −0.395989 1.48941i
\(668\) −8.42609 11.4354i −0.326015 0.442451i
\(669\) −11.2933 9.78572i −0.436625 0.378338i
\(670\) 3.52613 + 34.0090i 0.136226 + 1.31388i
\(671\) −7.44012 51.7472i −0.287223 1.99768i
\(672\) 13.8663 + 4.90867i 0.534905 + 0.189356i
\(673\) −1.76993 + 12.3102i −0.0682259 + 0.474522i 0.926852 + 0.375427i \(0.122504\pi\)
−0.995078 + 0.0990950i \(0.968405\pi\)
\(674\) 3.57750 19.4078i 0.137800 0.747562i
\(675\) 0.661708 1.02964i 0.0254691 0.0396308i
\(676\) 55.7808 11.6926i 2.14542 0.449717i
\(677\) 8.59802 29.2822i 0.330449 1.12540i −0.611945 0.790900i \(-0.709613\pi\)
0.942394 0.334505i \(-0.108569\pi\)
\(678\) −4.20167 16.7261i −0.161364 0.642360i
\(679\) 12.7411 + 14.7040i 0.488959 + 0.564289i
\(680\) 1.48530 12.4797i 0.0569587 0.478575i
\(681\) −7.88329 + 17.2620i −0.302088 + 0.661481i
\(682\) −31.6296 53.7718i −1.21116 2.05903i
\(683\) −2.83608 9.65880i −0.108520 0.369584i 0.887270 0.461250i \(-0.152599\pi\)
−0.995790 + 0.0916662i \(0.970781\pi\)
\(684\) −2.80396 5.22883i −0.107212 0.199929i
\(685\) 2.41011 1.10066i 0.0920855 0.0420540i
\(686\) 25.2243 + 8.50169i 0.963069 + 0.324596i
\(687\) −0.688114 + 0.442224i −0.0262532 + 0.0168719i
\(688\) −16.8688 + 10.4833i −0.643115 + 0.399672i
\(689\) −25.3916 −0.967342
\(690\) −16.5112 + 3.69866i −0.628572 + 0.140805i
\(691\) 38.4909i 1.46426i 0.681164 + 0.732131i \(0.261474\pi\)
−0.681164 + 0.732131i \(0.738526\pi\)
\(692\) −2.41056 + 30.4602i −0.0916358 + 1.15792i
\(693\) −6.91122 10.7541i −0.262535 0.408513i
\(694\) −5.57881 + 16.5522i −0.211769 + 0.628312i
\(695\) −9.24098 20.2349i −0.350530 0.767555i
\(696\) −0.571294 23.4672i −0.0216549 0.889524i
\(697\) −7.39101 + 2.17020i −0.279955 + 0.0822021i
\(698\) 20.7198 + 35.2246i 0.784254 + 1.33327i
\(699\) 2.47360 + 1.12965i 0.0935601 + 0.0427274i
\(700\) −2.17917 5.98053i −0.0823649 0.226043i
\(701\) 19.0953 16.5461i 0.721218 0.624939i −0.214895 0.976637i \(-0.568941\pi\)
0.936114 + 0.351698i \(0.114396\pi\)
\(702\) 8.83554 2.21953i 0.333476 0.0837709i
\(703\) −20.1674 5.92170i −0.760630 0.223341i
\(704\) 39.1549 + 3.69620i 1.47571 + 0.139306i
\(705\) 17.9102 + 11.5102i 0.674539 + 0.433500i
\(706\) 2.96918 16.1077i 0.111746 0.606222i
\(707\) −30.1319 4.33231i −1.13323 0.162933i
\(708\) −14.0685 + 25.3070i −0.528727 + 0.951094i
\(709\) 41.2840 5.93574i 1.55045 0.222921i 0.686738 0.726905i \(-0.259042\pi\)
0.863713 + 0.503984i \(0.168133\pi\)
\(710\) 19.9865 2.07224i 0.750080 0.0777698i
\(711\) −0.615297 + 0.710091i −0.0230754 + 0.0266305i
\(712\) 3.55080 0.599067i 0.133072 0.0224510i
\(713\) 7.21861 42.4234i 0.270339 1.58877i
\(714\) 5.84574 + 2.95390i 0.218771 + 0.110547i
\(715\) 59.7089 + 51.7380i 2.23299 + 1.93489i
\(716\) 14.6225 38.3157i 0.546470 1.43193i
\(717\) −4.64979 + 0.668539i −0.173650 + 0.0249670i
\(718\) 17.9182 + 0.707898i 0.668700 + 0.0264185i
\(719\) −1.27591 + 8.87417i −0.0475835 + 0.330951i 0.952100 + 0.305787i \(0.0989197\pi\)
−0.999683 + 0.0251633i \(0.991989\pi\)
\(720\) −9.97798 0.151150i −0.371857 0.00563303i
\(721\) −7.74843 4.97961i −0.288567 0.185451i
\(722\) −9.00801 11.2653i −0.335243 0.419251i
\(723\) 0.457917 1.55952i 0.0170301 0.0579993i
\(724\) −4.54881 1.02567i −0.169055 0.0381189i
\(725\) −7.67682 + 6.65200i −0.285110 + 0.247049i
\(726\) −13.5817 12.7414i −0.504064 0.472876i
\(727\) −3.40334 + 7.45227i −0.126223 + 0.276389i −0.962185 0.272398i \(-0.912183\pi\)
0.835962 + 0.548788i \(0.184910\pi\)
\(728\) 18.6268 43.5625i 0.690353 1.61453i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −14.5709 + 20.8174i −0.539295 + 0.770488i
\(731\) −8.04425 + 3.67368i −0.297527 + 0.135876i
\(732\) 15.1526 14.9248i 0.560056 0.551636i
\(733\) −4.83784 7.52783i −0.178690 0.278047i 0.740342 0.672231i \(-0.234664\pi\)
−0.919032 + 0.394184i \(0.871027\pi\)
\(734\) 14.5423 + 35.4877i 0.536766 + 1.30988i
\(735\) −0.594871 −0.0219422
\(736\) 19.0104 + 19.3547i 0.700731 + 0.713425i
\(737\) −47.6421 −1.75492
\(738\) 2.31923 + 5.65964i 0.0853720 + 0.208334i
\(739\) 10.7346 + 16.7033i 0.394878 + 0.614442i 0.980588 0.196079i \(-0.0628207\pi\)
−0.585710 + 0.810520i \(0.699184\pi\)
\(740\) −25.1862 + 24.8075i −0.925862 + 0.911943i
\(741\) −17.3832 + 7.93866i −0.638589 + 0.291634i
\(742\) −8.31193 + 11.8752i −0.305140 + 0.435953i
\(743\) 9.71237 2.85181i 0.356312 0.104623i −0.0986773 0.995119i \(-0.531461\pi\)
0.454990 + 0.890497i \(0.349643\pi\)
\(744\) 9.97810 23.3358i 0.365815 0.855534i
\(745\) 12.6124 27.6173i 0.462082 1.01182i
\(746\) −5.23445 4.91058i −0.191647 0.179789i
\(747\) −4.77648 + 4.13884i −0.174762 + 0.151432i
\(748\) 17.0830 + 3.85192i 0.624618 + 0.140840i
\(749\) −13.6108 + 46.3540i −0.497327 + 1.69374i
\(750\) −8.32014 10.4051i −0.303809 0.379939i
\(751\) −15.2735 9.81569i −0.557338 0.358180i 0.231448 0.972847i \(-0.425654\pi\)
−0.788786 + 0.614668i \(0.789290\pi\)
\(752\) 0.517033 34.1313i 0.0188542 1.24464i
\(753\) −0.689507 + 4.79563i −0.0251270 + 0.174762i
\(754\) −75.5489 2.98473i −2.75133 0.108697i
\(755\) −41.9853 + 6.03658i −1.52800 + 0.219694i
\(756\) 1.85427 4.85879i 0.0674393 0.176713i
\(757\) 13.4627 + 11.6655i 0.489312 + 0.423991i 0.864253 0.503058i \(-0.167792\pi\)
−0.374941 + 0.927049i \(0.622337\pi\)
\(758\) 22.4484 + 11.3434i 0.815361 + 0.412009i
\(759\) −2.75355 23.4155i −0.0999476 0.849930i
\(760\) 20.6415 3.48249i 0.748746 0.126323i
\(761\) −25.2920 + 29.1885i −0.916833 + 1.05808i 0.0812812 + 0.996691i \(0.474099\pi\)
−0.998114 + 0.0613901i \(0.980447\pi\)
\(762\) 1.07563 0.111524i 0.0389660 0.00404008i
\(763\) 19.4184 2.79195i 0.702995 0.101075i
\(764\) 11.2770 20.2856i 0.407989 0.733906i
\(765\) −4.39815 0.632359i −0.159016 0.0228630i
\(766\) 5.67630 30.7938i 0.205093 1.11262i
\(767\) 78.4548 + 50.4199i 2.83284 + 1.82056i
\(768\) 8.23858 + 13.7159i 0.297284 + 0.494930i
\(769\) 37.0275 + 10.8723i 1.33525 + 0.392064i 0.869971 0.493102i \(-0.164137\pi\)
0.465275 + 0.885166i \(0.345955\pi\)
\(770\) 43.7427 10.9884i 1.57638 0.395994i
\(771\) −1.86894 + 1.61945i −0.0673083 + 0.0583230i
\(772\) −7.27518 19.9660i −0.261839 0.718593i
\(773\) −8.89825 4.06369i −0.320048 0.146161i 0.248912 0.968526i \(-0.419927\pi\)