Properties

Label 177.2.e.a.16.4
Level $177$
Weight $2$
Character 177.16
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 16.4
Character \(\chi\) \(=\) 177.16
Dual form 177.2.e.a.166.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.94094 + 0.427233i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(1.76956 + 0.818686i) q^{4} +(0.704369 + 2.53691i) q^{5} +(0.107596 - 1.98449i) q^{6} +(0.381927 + 0.361781i) q^{7} +(-0.0794753 - 0.0604155i) q^{8} +(-0.947653 + 0.319302i) q^{9} +O(q^{10})\) \(q+(1.94094 + 0.427233i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(1.76956 + 0.818686i) q^{4} +(0.704369 + 2.53691i) q^{5} +(0.107596 - 1.98449i) q^{6} +(0.381927 + 0.361781i) q^{7} +(-0.0794753 - 0.0604155i) q^{8} +(-0.947653 + 0.319302i) q^{9} +(0.283286 + 5.22491i) q^{10} +(3.19732 - 3.76418i) q^{11} +(0.521618 - 1.87870i) q^{12} +(-4.57048 - 1.53997i) q^{13} +(0.586733 + 0.865366i) q^{14} +(2.38953 - 1.10552i) q^{15} +(-2.65295 - 3.12330i) q^{16} +(-2.16927 + 2.05484i) q^{17} +(-1.97575 + 0.214876i) q^{18} +(-1.05669 + 2.65210i) q^{19} +(-0.830507 + 5.06587i) q^{20} +(0.295226 - 0.435426i) q^{21} +(7.81398 - 5.94004i) q^{22} +(-2.64614 - 0.287785i) q^{23} +(-0.0467620 + 0.0882024i) q^{24} +(-1.65548 + 0.996066i) q^{25} +(-8.21308 - 4.94165i) q^{26} +(0.468408 + 0.883512i) q^{27} +(0.379659 + 0.952872i) q^{28} +(0.405480 - 0.0892529i) q^{29} +(5.11025 - 1.12485i) q^{30} +(1.91847 + 4.81499i) q^{31} +(-3.72132 - 7.01914i) q^{32} +(-4.23186 - 2.54623i) q^{33} +(-5.08832 + 3.06154i) q^{34} +(-0.648787 + 1.22374i) q^{35} +(-1.93834 - 0.210807i) q^{36} +(-7.39693 + 5.62300i) q^{37} +(-3.18404 + 4.69610i) q^{38} +(-0.780265 + 4.75941i) q^{39} +(0.0972887 - 0.244176i) q^{40} +(9.60209 - 1.04429i) q^{41} +(0.759044 - 0.719004i) q^{42} +(5.32065 + 6.26395i) q^{43} +(8.73954 - 4.04334i) q^{44} +(-1.47754 - 2.17920i) q^{45} +(-5.01304 - 1.68909i) q^{46} +(1.37567 - 4.95471i) q^{47} +(-2.65295 + 3.12330i) q^{48} +(-0.363989 - 6.71339i) q^{49} +(-3.63873 + 1.22603i) q^{50} +(2.37872 + 1.80826i) q^{51} +(-6.82698 - 6.46686i) q^{52} +(0.654848 - 12.0780i) q^{53} +(0.531686 + 1.91496i) q^{54} +(11.8015 + 5.45994i) q^{55} +(-0.00849660 - 0.0518270i) q^{56} +(2.78811 + 0.613710i) q^{57} +0.825143 q^{58} +(7.22906 - 2.59628i) q^{59} +5.13350 q^{60} +(0.915775 + 0.201577i) q^{61} +(1.66651 + 10.1652i) q^{62} +(-0.477452 - 0.220893i) q^{63} +(-2.03140 - 7.31645i) q^{64} +(0.687467 - 12.6796i) q^{65} +(-7.12595 - 6.75006i) q^{66} +(0.381074 + 0.289685i) q^{67} +(-5.52093 + 1.86022i) q^{68} +(0.144104 + 2.65784i) q^{69} +(-1.78208 + 2.09802i) q^{70} +(-0.308718 + 1.11190i) q^{71} +(0.0946058 + 0.0318764i) q^{72} +(7.40217 + 10.9174i) q^{73} +(-16.7593 + 7.75369i) q^{74} +(1.25077 + 1.47252i) q^{75} +(-4.04112 + 3.82795i) q^{76} +(2.58295 - 0.280913i) q^{77} +(-3.54782 + 8.90436i) q^{78} +(-0.769619 + 4.69447i) q^{79} +(6.05485 - 8.93024i) q^{80} +(0.796093 - 0.605174i) q^{81} +(19.0832 + 2.07543i) q^{82} +(-3.16555 + 5.97086i) q^{83} +(0.878898 - 0.528815i) q^{84} +(-6.74091 - 4.05587i) q^{85} +(7.65089 + 14.4311i) q^{86} +(-0.153677 - 0.385699i) q^{87} +(-0.481523 + 0.105991i) q^{88} +(-9.64095 + 2.12213i) q^{89} +(-1.93678 - 4.86095i) q^{90} +(-1.18846 - 2.24167i) q^{91} +(-4.44690 - 2.67561i) q^{92} +(4.44119 - 2.67217i) q^{93} +(4.78690 - 9.02905i) q^{94} +(-7.47243 - 0.812675i) q^{95} +(-6.32464 + 4.80786i) q^{96} +(2.71786 - 4.00855i) q^{97} +(2.16170 - 13.1858i) q^{98} +(-1.82804 + 4.58805i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{2}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.94094 + 0.427233i 1.37245 + 0.302099i 0.839184 0.543848i \(-0.183033\pi\)
0.533267 + 0.845947i \(0.320964\pi\)
\(3\) −0.161782 0.986827i −0.0934049 0.569745i
\(4\) 1.76956 + 0.818686i 0.884781 + 0.409343i
\(5\) 0.704369 + 2.53691i 0.315003 + 1.13454i 0.936369 + 0.351018i \(0.114164\pi\)
−0.621365 + 0.783521i \(0.713422\pi\)
\(6\) 0.107596 1.98449i 0.0439258 0.810164i
\(7\) 0.381927 + 0.361781i 0.144355 + 0.136740i 0.756470 0.654029i \(-0.226922\pi\)
−0.612115 + 0.790769i \(0.709681\pi\)
\(8\) −0.0794753 0.0604155i −0.0280987 0.0213601i
\(9\) −0.947653 + 0.319302i −0.315884 + 0.106434i
\(10\) 0.283286 + 5.22491i 0.0895830 + 1.65226i
\(11\) 3.19732 3.76418i 0.964029 1.13494i −0.0267756 0.999641i \(-0.508524\pi\)
0.990805 0.135301i \(-0.0432002\pi\)
\(12\) 0.521618 1.87870i 0.150578 0.542334i
\(13\) −4.57048 1.53997i −1.26762 0.427112i −0.396435 0.918063i \(-0.629753\pi\)
−0.871187 + 0.490951i \(0.836649\pi\)
\(14\) 0.586733 + 0.865366i 0.156811 + 0.231279i
\(15\) 2.38953 1.10552i 0.616975 0.285443i
\(16\) −2.65295 3.12330i −0.663238 0.780824i
\(17\) −2.16927 + 2.05484i −0.526126 + 0.498373i −0.904028 0.427473i \(-0.859404\pi\)
0.377903 + 0.925845i \(0.376645\pi\)
\(18\) −1.97575 + 0.214876i −0.465689 + 0.0506468i
\(19\) −1.05669 + 2.65210i −0.242422 + 0.608433i −0.998964 0.0455122i \(-0.985508\pi\)
0.756542 + 0.653945i \(0.226887\pi\)
\(20\) −0.830507 + 5.06587i −0.185707 + 1.13276i
\(21\) 0.295226 0.435426i 0.0644236 0.0950177i
\(22\) 7.81398 5.94004i 1.66595 1.26642i
\(23\) −2.64614 0.287785i −0.551758 0.0600073i −0.172007 0.985096i \(-0.555025\pi\)
−0.379752 + 0.925088i \(0.623991\pi\)
\(24\) −0.0467620 + 0.0882024i −0.00954525 + 0.0180042i
\(25\) −1.65548 + 0.996066i −0.331095 + 0.199213i
\(26\) −8.21308 4.94165i −1.61072 0.969137i
\(27\) 0.468408 + 0.883512i 0.0901452 + 0.170032i
\(28\) 0.379659 + 0.952872i 0.0717488 + 0.180076i
\(29\) 0.405480 0.0892529i 0.0752958 0.0165738i −0.177163 0.984182i \(-0.556692\pi\)
0.252459 + 0.967608i \(0.418761\pi\)
\(30\) 5.11025 1.12485i 0.932999 0.205369i
\(31\) 1.91847 + 4.81499i 0.344567 + 0.864798i 0.994493 + 0.104801i \(0.0334205\pi\)
−0.649926 + 0.759997i \(0.725200\pi\)
\(32\) −3.72132 7.01914i −0.657842 1.24082i
\(33\) −4.23186 2.54623i −0.736672 0.443241i
\(34\) −5.08832 + 3.06154i −0.872639 + 0.525050i
\(35\) −0.648787 + 1.22374i −0.109665 + 0.206850i
\(36\) −1.93834 0.210807i −0.323056 0.0351345i
\(37\) −7.39693 + 5.62300i −1.21605 + 0.924416i −0.998664 0.0516705i \(-0.983545\pi\)
−0.217384 + 0.976086i \(0.569752\pi\)
\(38\) −3.18404 + 4.69610i −0.516519 + 0.761809i
\(39\) −0.780265 + 4.75941i −0.124942 + 0.762115i
\(40\) 0.0972887 0.244176i 0.0153827 0.0386076i
\(41\) 9.60209 1.04429i 1.49960 0.163091i 0.678804 0.734319i \(-0.262499\pi\)
0.820791 + 0.571229i \(0.193533\pi\)
\(42\) 0.759044 0.719004i 0.117123 0.110945i
\(43\) 5.32065 + 6.26395i 0.811392 + 0.955244i 0.999639 0.0268776i \(-0.00855645\pi\)
−0.188247 + 0.982122i \(0.560281\pi\)
\(44\) 8.73954 4.04334i 1.31754 0.609557i
\(45\) −1.47754 2.17920i −0.220258 0.324856i
\(46\) −5.01304 1.68909i −0.739133 0.249043i
\(47\) 1.37567 4.95471i 0.200662 0.722718i −0.792893 0.609361i \(-0.791426\pi\)
0.993554 0.113357i \(-0.0361603\pi\)
\(48\) −2.65295 + 3.12330i −0.382920 + 0.450809i
\(49\) −0.363989 6.71339i −0.0519985 0.959055i
\(50\) −3.63873 + 1.22603i −0.514594 + 0.173387i
\(51\) 2.37872 + 1.80826i 0.333088 + 0.253207i
\(52\) −6.82698 6.46686i −0.946732 0.896792i
\(53\) 0.654848 12.0780i 0.0899503 1.65904i −0.510875 0.859655i \(-0.670678\pi\)
0.600825 0.799381i \(-0.294839\pi\)
\(54\) 0.531686 + 1.91496i 0.0723534 + 0.260593i
\(55\) 11.8015 + 5.45994i 1.59131 + 0.736218i
\(56\) −0.00849660 0.0518270i −0.00113541 0.00692567i
\(57\) 2.78811 + 0.613710i 0.369295 + 0.0812879i
\(58\) 0.825143 0.108347
\(59\) 7.22906 2.59628i 0.941144 0.338007i
\(60\) 5.13350 0.662731
\(61\) 0.915775 + 0.201577i 0.117253 + 0.0258093i 0.273209 0.961955i \(-0.411915\pi\)
−0.155956 + 0.987764i \(0.549846\pi\)
\(62\) 1.66651 + 10.1652i 0.211646 + 1.29099i
\(63\) −0.477452 0.220893i −0.0601533 0.0278299i
\(64\) −2.03140 7.31645i −0.253925 0.914556i
\(65\) 0.687467 12.6796i 0.0852698 1.57271i
\(66\) −7.12595 6.75006i −0.877143 0.830874i
\(67\) 0.381074 + 0.289685i 0.0465555 + 0.0353906i 0.628193 0.778057i \(-0.283795\pi\)
−0.581638 + 0.813448i \(0.697588\pi\)
\(68\) −5.52093 + 1.86022i −0.669511 + 0.225585i
\(69\) 0.144104 + 2.65784i 0.0173481 + 0.319966i
\(70\) −1.78208 + 2.09802i −0.212999 + 0.250762i
\(71\) −0.308718 + 1.11190i −0.0366381 + 0.131959i −0.979607 0.200921i \(-0.935607\pi\)
0.942969 + 0.332880i \(0.108020\pi\)
\(72\) 0.0946058 + 0.0318764i 0.0111494 + 0.00375667i
\(73\) 7.40217 + 10.9174i 0.866358 + 1.27778i 0.959380 + 0.282119i \(0.0910372\pi\)
−0.0930212 + 0.995664i \(0.529652\pi\)
\(74\) −16.7593 + 7.75369i −1.94823 + 0.901348i
\(75\) 1.25077 + 1.47252i 0.144427 + 0.170032i
\(76\) −4.04112 + 3.82795i −0.463548 + 0.439096i
\(77\) 2.58295 0.280913i 0.294355 0.0320130i
\(78\) −3.54782 + 8.90436i −0.401712 + 1.00822i
\(79\) −0.769619 + 4.69447i −0.0865888 + 0.528169i 0.907540 + 0.419966i \(0.137958\pi\)
−0.994129 + 0.108203i \(0.965490\pi\)
\(80\) 6.05485 8.93024i 0.676953 0.998431i
\(81\) 0.796093 0.605174i 0.0884548 0.0672416i
\(82\) 19.0832 + 2.07543i 2.10739 + 0.229192i
\(83\) −3.16555 + 5.97086i −0.347464 + 0.655387i −0.994226 0.107305i \(-0.965778\pi\)
0.646762 + 0.762692i \(0.276123\pi\)
\(84\) 0.878898 0.528815i 0.0958956 0.0576985i
\(85\) −6.74091 4.05587i −0.731155 0.439921i
\(86\) 7.65089 + 14.4311i 0.825016 + 1.55615i
\(87\) −0.153677 0.385699i −0.0164759 0.0413513i
\(88\) −0.481523 + 0.105991i −0.0513305 + 0.0112987i
\(89\) −9.64095 + 2.12213i −1.02194 + 0.224946i −0.694169 0.719812i \(-0.744228\pi\)
−0.327770 + 0.944758i \(0.606297\pi\)
\(90\) −1.93678 4.86095i −0.204154 0.512389i
\(91\) −1.18846 2.24167i −0.124584 0.234991i
\(92\) −4.44690 2.67561i −0.463621 0.278952i
\(93\) 4.44119 2.67217i 0.460530 0.277092i
\(94\) 4.78690 9.02905i 0.493731 0.931275i
\(95\) −7.47243 0.812675i −0.766655 0.0833787i
\(96\) −6.32464 + 4.80786i −0.645506 + 0.490701i
\(97\) 2.71786 4.00855i 0.275957 0.407007i −0.664303 0.747464i \(-0.731271\pi\)
0.940260 + 0.340457i \(0.110582\pi\)
\(98\) 2.16170 13.1858i 0.218364 1.33196i
\(99\) −1.82804 + 4.58805i −0.183725 + 0.461116i
\(100\) −3.74493 + 0.407286i −0.374493 + 0.0407286i
\(101\) −3.92325 + 3.71630i −0.390378 + 0.369785i −0.857567 0.514372i \(-0.828025\pi\)
0.467190 + 0.884157i \(0.345267\pi\)
\(102\) 3.84441 + 4.52599i 0.380653 + 0.448139i
\(103\) −14.6810 + 6.79218i −1.44657 + 0.669253i −0.976921 0.213602i \(-0.931480\pi\)
−0.469646 + 0.882855i \(0.655618\pi\)
\(104\) 0.270202 + 0.398517i 0.0264954 + 0.0390779i
\(105\) 1.31258 + 0.442261i 0.128095 + 0.0431602i
\(106\) 6.43112 23.1628i 0.624646 2.24977i
\(107\) 6.17727 7.27244i 0.597179 0.703053i −0.377665 0.925942i \(-0.623273\pi\)
0.974844 + 0.222889i \(0.0715487\pi\)
\(108\) 0.105558 + 1.94691i 0.0101574 + 0.187341i
\(109\) −8.16340 + 2.75057i −0.781912 + 0.263457i −0.681819 0.731521i \(-0.738811\pi\)
−0.100093 + 0.994978i \(0.531914\pi\)
\(110\) 20.5732 + 15.6394i 1.96158 + 1.49116i
\(111\) 6.74562 + 6.38979i 0.640266 + 0.606492i
\(112\) 0.116714 2.15266i 0.0110284 0.203407i
\(113\) 4.67323 + 16.8315i 0.439621 + 1.58337i 0.769048 + 0.639191i \(0.220731\pi\)
−0.329427 + 0.944181i \(0.606856\pi\)
\(114\) 5.14936 + 2.38235i 0.482282 + 0.223127i
\(115\) −1.13377 6.91572i −0.105725 0.644894i
\(116\) 0.790592 + 0.174022i 0.0734046 + 0.0161576i
\(117\) 4.82294 0.445881
\(118\) 15.1404 1.95073i 1.39378 0.179579i
\(119\) −1.57191 −0.144097
\(120\) −0.256699 0.0565037i −0.0234333 0.00515806i
\(121\) −2.16657 13.2155i −0.196961 1.20141i
\(122\) 1.69134 + 0.782498i 0.153127 + 0.0708441i
\(123\) −2.58398 9.30665i −0.232990 0.839153i
\(124\) −0.547121 + 10.0910i −0.0491329 + 0.906203i
\(125\) 5.86429 + 5.55495i 0.524518 + 0.496849i
\(126\) −0.832332 0.632722i −0.0741500 0.0563674i
\(127\) 7.21912 2.43240i 0.640593 0.215841i 0.0197859 0.999804i \(-0.493702\pi\)
0.620807 + 0.783963i \(0.286805\pi\)
\(128\) 0.0432246 + 0.797230i 0.00382055 + 0.0704659i
\(129\) 5.32065 6.26395i 0.468457 0.551510i
\(130\) 6.75146 24.3166i 0.592142 2.13270i
\(131\) 13.0912 + 4.41095i 1.14379 + 0.385387i 0.826496 0.562942i \(-0.190331\pi\)
0.317290 + 0.948329i \(0.397227\pi\)
\(132\) −5.40398 7.97027i −0.470356 0.693723i
\(133\) −1.36306 + 0.630618i −0.118192 + 0.0546815i
\(134\) 0.615877 + 0.725067i 0.0532037 + 0.0626362i
\(135\) −1.91146 + 1.81063i −0.164512 + 0.155834i
\(136\) 0.296548 0.0322515i 0.0254288 0.00276555i
\(137\) −0.337516 + 0.847102i −0.0288360 + 0.0723729i −0.942690 0.333671i \(-0.891713\pi\)
0.913854 + 0.406044i \(0.133092\pi\)
\(138\) −0.855819 + 5.22027i −0.0728522 + 0.444379i
\(139\) 7.80484 11.5113i 0.661998 0.976374i −0.337389 0.941365i \(-0.609544\pi\)
0.999387 0.0350088i \(-0.0111459\pi\)
\(140\) −2.14993 + 1.63433i −0.181702 + 0.138126i
\(141\) −5.11199 0.555963i −0.430507 0.0468205i
\(142\) −1.07424 + 2.02624i −0.0901485 + 0.170038i
\(143\) −20.4100 + 12.2803i −1.70677 + 1.02693i
\(144\) 3.51135 + 2.11271i 0.292613 + 0.176059i
\(145\) 0.512034 + 0.965798i 0.0425221 + 0.0802052i
\(146\) 9.70289 + 24.3524i 0.803017 + 2.01542i
\(147\) −6.56606 + 1.44530i −0.541560 + 0.119206i
\(148\) −17.6928 + 3.89448i −1.45434 + 0.320124i
\(149\) −7.23228 18.1517i −0.592491 1.48704i −0.853179 0.521618i \(-0.825329\pi\)
0.260688 0.965423i \(-0.416051\pi\)
\(150\) 1.79856 + 3.39244i 0.146852 + 0.276992i
\(151\) −11.8376 7.12247i −0.963334 0.579619i −0.0552793 0.998471i \(-0.517605\pi\)
−0.908054 + 0.418852i \(0.862433\pi\)
\(152\) 0.244209 0.146936i 0.0198079 0.0119180i
\(153\) 1.39960 2.63993i 0.113151 0.213426i
\(154\) 5.13337 + 0.558287i 0.413659 + 0.0449881i
\(155\) −10.8639 + 8.25851i −0.872608 + 0.663339i
\(156\) −5.27719 + 7.78327i −0.422513 + 0.623160i
\(157\) −1.98922 + 12.1337i −0.158757 + 0.968373i 0.780499 + 0.625156i \(0.214965\pi\)
−0.939256 + 0.343217i \(0.888483\pi\)
\(158\) −3.49941 + 8.78286i −0.278398 + 0.698727i
\(159\) −12.0248 + 1.30778i −0.953628 + 0.103713i
\(160\) 15.1857 14.3847i 1.20054 1.13721i
\(161\) −0.906518 1.06724i −0.0714436 0.0841100i
\(162\) 1.80372 0.834489i 0.141713 0.0655636i
\(163\) −5.54756 8.18204i −0.434519 0.640867i 0.545886 0.837859i \(-0.316193\pi\)
−0.980405 + 0.196992i \(0.936883\pi\)
\(164\) 17.8464 + 6.01317i 1.39357 + 0.469549i
\(165\) 3.47875 12.5293i 0.270820 0.975406i
\(166\) −8.69509 + 10.2366i −0.674870 + 0.794518i
\(167\) −0.559676 10.3226i −0.0433090 0.798788i −0.936834 0.349774i \(-0.886258\pi\)
0.893525 0.449013i \(-0.148224\pi\)
\(168\) −0.0497696 + 0.0167693i −0.00383981 + 0.00129378i
\(169\) 8.16852 + 6.20955i 0.628348 + 0.477658i
\(170\) −11.3509 10.7521i −0.870574 0.824651i
\(171\) 0.154559 2.85067i 0.0118194 0.217996i
\(172\) 4.28700 + 15.4404i 0.326881 + 1.17732i
\(173\) −2.97884 1.37816i −0.226477 0.104779i 0.303369 0.952873i \(-0.401888\pi\)
−0.529846 + 0.848094i \(0.677750\pi\)
\(174\) −0.133493 0.814273i −0.0101201 0.0617299i
\(175\) −0.992629 0.218494i −0.0750357 0.0165166i
\(176\) −20.2390 −1.52557
\(177\) −3.73161 6.71380i −0.280485 0.504640i
\(178\) −19.6191 −1.47052
\(179\) 15.1402 + 3.33260i 1.13163 + 0.249091i 0.741031 0.671471i \(-0.234337\pi\)
0.390599 + 0.920561i \(0.372268\pi\)
\(180\) −0.830507 5.06587i −0.0619023 0.377588i
\(181\) −23.3148 10.7866i −1.73297 0.801758i −0.991397 0.130889i \(-0.958217\pi\)
−0.741575 0.670870i \(-0.765921\pi\)
\(182\) −1.34901 4.85869i −0.0999951 0.360150i
\(183\) 0.0507660 0.936323i 0.00375273 0.0692150i
\(184\) 0.192916 + 0.182740i 0.0142220 + 0.0134717i
\(185\) −19.4752 14.8047i −1.43185 1.08846i
\(186\) 9.76171 3.28910i 0.715763 0.241169i
\(187\) 0.798937 + 14.7355i 0.0584241 + 1.07757i
\(188\) 6.49068 7.64142i 0.473381 0.557307i
\(189\) −0.140740 + 0.506899i −0.0102373 + 0.0368715i
\(190\) −14.1563 4.76982i −1.02701 0.346039i
\(191\) 10.9613 + 16.1667i 0.793130 + 1.16978i 0.982204 + 0.187816i \(0.0601410\pi\)
−0.189074 + 0.981963i \(0.560549\pi\)
\(192\) −6.89142 + 3.18831i −0.497346 + 0.230097i
\(193\) −12.7631 15.0259i −0.918709 1.08159i −0.996414 0.0846116i \(-0.973035\pi\)
0.0777048 0.996976i \(-0.475241\pi\)
\(194\) 6.98779 6.61919i 0.501694 0.475230i
\(195\) −12.6238 + 1.37292i −0.904007 + 0.0983166i
\(196\) 4.85206 12.1777i 0.346575 0.869839i
\(197\) 3.94563 24.0673i 0.281114 1.71472i −0.348073 0.937467i \(-0.613164\pi\)
0.629187 0.777254i \(-0.283388\pi\)
\(198\) −5.50828 + 8.12411i −0.391457 + 0.577355i
\(199\) −6.38398 + 4.85298i −0.452548 + 0.344018i −0.806489 0.591250i \(-0.798635\pi\)
0.353940 + 0.935268i \(0.384842\pi\)
\(200\) 0.191747 + 0.0208538i 0.0135586 + 0.00147458i
\(201\) 0.224218 0.422919i 0.0158151 0.0298304i
\(202\) −9.20250 + 5.53696i −0.647486 + 0.389579i
\(203\) 0.187154 + 0.112607i 0.0131356 + 0.00790345i
\(204\) 2.72890 + 5.14725i 0.191061 + 0.360380i
\(205\) 9.41268 + 23.6241i 0.657410 + 1.64998i
\(206\) −31.3968 + 6.91097i −2.18752 + 0.481510i
\(207\) 2.59951 0.572196i 0.180679 0.0397704i
\(208\) 7.31546 + 18.3604i 0.507236 + 1.27307i
\(209\) 6.60438 + 12.4572i 0.456835 + 0.861682i
\(210\) 2.35869 + 1.41918i 0.162765 + 0.0979326i
\(211\) 4.63521 2.78891i 0.319101 0.191997i −0.346987 0.937870i \(-0.612795\pi\)
0.666088 + 0.745873i \(0.267968\pi\)
\(212\) 11.0469 20.8366i 0.758701 1.43106i
\(213\) 1.14720 + 0.124765i 0.0786048 + 0.00854879i
\(214\) 15.0967 11.4762i 1.03199 0.784499i
\(215\) −12.1434 + 17.9101i −0.828171 + 1.22146i
\(216\) 0.0161510 0.0985165i 0.00109893 0.00670320i
\(217\) −1.00926 + 2.53304i −0.0685128 + 0.171954i
\(218\) −17.0198 + 1.85101i −1.15273 + 0.125366i
\(219\) 9.57602 9.07089i 0.647088 0.612954i
\(220\) 16.4134 + 19.3234i 1.10659 + 1.30278i
\(221\) 13.0790 6.05099i 0.879789 0.407034i
\(222\) 10.3629 + 15.2841i 0.695512 + 1.02580i
\(223\) 20.4052 + 6.87530i 1.36643 + 0.460404i 0.904486 0.426504i \(-0.140255\pi\)
0.461945 + 0.886908i \(0.347152\pi\)
\(224\) 1.11812 4.02710i 0.0747075 0.269072i
\(225\) 1.25077 1.47252i 0.0833847 0.0981681i
\(226\) 1.87950 + 34.6654i 0.125023 + 2.30591i
\(227\) −13.0650 + 4.40210i −0.867152 + 0.292178i −0.717498 0.696561i \(-0.754713\pi\)
−0.149655 + 0.988738i \(0.547816\pi\)
\(228\) 4.43130 + 3.36859i 0.293470 + 0.223090i
\(229\) −13.2488 12.5499i −0.875506 0.829324i 0.110869 0.993835i \(-0.464637\pi\)
−0.986375 + 0.164511i \(0.947395\pi\)
\(230\) 0.754035 13.9074i 0.0497196 0.917024i
\(231\) −0.695088 2.50348i −0.0457334 0.164717i
\(232\) −0.0376179 0.0174039i −0.00246974 0.00114262i
\(233\) −0.618270 3.77128i −0.0405042 0.247065i 0.958812 0.284042i \(-0.0916755\pi\)
−0.999316 + 0.0369770i \(0.988227\pi\)
\(234\) 9.36103 + 2.06052i 0.611950 + 0.134700i
\(235\) 13.5386 0.883161
\(236\) 14.9178 + 1.32405i 0.971067 + 0.0861884i
\(237\) 4.75713 0.309009
\(238\) −3.05098 0.671570i −0.197765 0.0435314i
\(239\) −3.87718 23.6498i −0.250794 1.52978i −0.748913 0.662668i \(-0.769424\pi\)
0.498119 0.867108i \(-0.334024\pi\)
\(240\) −9.79216 4.53034i −0.632082 0.292432i
\(241\) −3.12049 11.2390i −0.201008 0.723967i −0.993475 0.114051i \(-0.963617\pi\)
0.792466 0.609915i \(-0.208797\pi\)
\(242\) 1.44091 26.5761i 0.0926254 1.70838i
\(243\) −0.725995 0.687699i −0.0465726 0.0441159i
\(244\) 1.45549 + 1.10644i 0.0931783 + 0.0708323i
\(245\) 16.7749 5.65211i 1.07171 0.361100i
\(246\) −1.03924 19.1676i −0.0662593 1.22208i
\(247\) 8.91374 10.4941i 0.567168 0.667722i
\(248\) 0.138430 0.498578i 0.00879028 0.0316597i
\(249\) 6.40434 + 2.15787i 0.405858 + 0.136750i
\(250\) 9.00896 + 13.2872i 0.569777 + 0.840358i
\(251\) −3.79933 + 1.75776i −0.239812 + 0.110949i −0.536114 0.844145i \(-0.680108\pi\)
0.296303 + 0.955094i \(0.404246\pi\)
\(252\) −0.664039 0.781767i −0.0418305 0.0492467i
\(253\) −9.54383 + 9.04040i −0.600016 + 0.568365i
\(254\) 15.0511 1.63690i 0.944388 0.102708i
\(255\) −2.91188 + 7.30828i −0.182349 + 0.457662i
\(256\) −2.71360 + 16.5522i −0.169600 + 1.03451i
\(257\) −10.5099 + 15.5009i −0.655590 + 0.966922i 0.344019 + 0.938963i \(0.388211\pi\)
−0.999609 + 0.0279598i \(0.991099\pi\)
\(258\) 13.0032 9.88479i 0.809545 0.615400i
\(259\) −4.85939 0.528490i −0.301948 0.0328388i
\(260\) 11.5971 21.8745i 0.719222 1.35660i
\(261\) −0.355756 + 0.214051i −0.0220207 + 0.0132494i
\(262\) 23.5248 + 14.1544i 1.45337 + 0.874461i
\(263\) 0.0752590 + 0.141953i 0.00464067 + 0.00875323i 0.885822 0.464026i \(-0.153596\pi\)
−0.881181 + 0.472779i \(0.843251\pi\)
\(264\) 0.182497 + 0.458032i 0.0112319 + 0.0281899i
\(265\) 31.1019 6.84605i 1.91058 0.420550i
\(266\) −2.91503 + 0.641647i −0.178732 + 0.0393419i
\(267\) 3.65391 + 9.17062i 0.223616 + 0.561233i
\(268\) 0.437172 + 0.824594i 0.0267045 + 0.0503701i
\(269\) −3.61990 2.17802i −0.220709 0.132796i 0.400906 0.916119i \(-0.368696\pi\)
−0.621615 + 0.783323i \(0.713523\pi\)
\(270\) −4.48358 + 2.69768i −0.272862 + 0.164175i
\(271\) 1.80360 3.40194i 0.109561 0.206653i −0.822669 0.568521i \(-0.807516\pi\)
0.932230 + 0.361868i \(0.117861\pi\)
\(272\) 12.1729 + 1.32388i 0.738088 + 0.0802719i
\(273\) −2.01987 + 1.53546i −0.122248 + 0.0929305i
\(274\) −1.01701 + 1.49998i −0.0614397 + 0.0906168i
\(275\) −1.54372 + 9.41625i −0.0930896 + 0.567821i
\(276\) −1.92094 + 4.82119i −0.115627 + 0.290201i
\(277\) 14.4628 1.57293i 0.868988 0.0945082i 0.337248 0.941416i \(-0.390504\pi\)
0.531740 + 0.846908i \(0.321538\pi\)
\(278\) 20.0667 19.0082i 1.20352 1.14004i
\(279\) −3.35548 3.95037i −0.200887 0.236503i
\(280\) 0.125495 0.0580604i 0.00749979 0.00346977i
\(281\) 13.7775 + 20.3203i 0.821895 + 1.21221i 0.974604 + 0.223934i \(0.0718900\pi\)
−0.152709 + 0.988271i \(0.548800\pi\)
\(282\) −9.68454 3.26310i −0.576706 0.194315i
\(283\) 5.00280 18.0185i 0.297386 1.07109i −0.652320 0.757943i \(-0.726204\pi\)
0.949706 0.313143i \(-0.101382\pi\)
\(284\) −1.45659 + 1.71484i −0.0864330 + 0.101757i
\(285\) 0.406934 + 7.50546i 0.0241047 + 0.444585i
\(286\) −44.8611 + 15.1155i −2.65269 + 0.893797i
\(287\) 4.04511 + 3.07501i 0.238775 + 0.181512i
\(288\) 5.76774 + 5.46349i 0.339867 + 0.321939i
\(289\) −0.437003 + 8.06004i −0.0257060 + 0.474120i
\(290\) 0.581205 + 2.09331i 0.0341295 + 0.122924i
\(291\) −4.39545 2.03355i −0.257666 0.119209i
\(292\) 4.16068 + 25.3790i 0.243485 + 1.48520i
\(293\) −18.8645 4.15239i −1.10208 0.242585i −0.373555 0.927608i \(-0.621861\pi\)
−0.728522 + 0.685023i \(0.759792\pi\)
\(294\) −13.3618 −0.779276
\(295\) 11.6785 + 16.5107i 0.679946 + 0.961291i
\(296\) 0.927590 0.0539151
\(297\) 4.82335 + 1.06170i 0.279879 + 0.0616061i
\(298\) −6.28243 38.3211i −0.363931 2.21988i
\(299\) 11.6509 + 5.39030i 0.673791 + 0.311729i
\(300\) 1.00778 + 3.62971i 0.0581844 + 0.209561i
\(301\) −0.234076 + 4.31729i −0.0134919 + 0.248844i
\(302\) −19.9332 18.8817i −1.14703 1.08652i
\(303\) 4.30205 + 3.27033i 0.247146 + 0.187876i
\(304\) 11.0866 3.73552i 0.635862 0.214247i
\(305\) 0.133660 + 2.46522i 0.00765337 + 0.141158i
\(306\) 3.84441 4.52599i 0.219770 0.258733i
\(307\) 0.958309 3.45152i 0.0546936 0.196988i −0.931156 0.364621i \(-0.881198\pi\)
0.985850 + 0.167633i \(0.0536123\pi\)
\(308\) 4.80067 + 1.61754i 0.273544 + 0.0921676i
\(309\) 9.07783 + 13.3888i 0.516420 + 0.761662i
\(310\) −24.6144 + 11.3878i −1.39800 + 0.646786i
\(311\) 21.8349 + 25.7061i 1.23815 + 1.45766i 0.842007 + 0.539467i \(0.181374\pi\)
0.396139 + 0.918191i \(0.370350\pi\)
\(312\) 0.349554 0.331115i 0.0197896 0.0187457i
\(313\) −30.8920 + 3.35971i −1.74612 + 0.189902i −0.924771 0.380524i \(-0.875744\pi\)
−0.821349 + 0.570426i \(0.806778\pi\)
\(314\) −9.04485 + 22.7009i −0.510431 + 1.28108i
\(315\) 0.224082 1.36684i 0.0126256 0.0770128i
\(316\) −5.20518 + 7.67707i −0.292814 + 0.431869i
\(317\) 2.82715 2.14914i 0.158788 0.120708i −0.522763 0.852478i \(-0.675099\pi\)
0.681551 + 0.731770i \(0.261306\pi\)
\(318\) −23.8981 2.59908i −1.34014 0.145749i
\(319\) 0.960486 1.81167i 0.0537769 0.101434i
\(320\) 17.1303 10.3070i 0.957613 0.576176i
\(321\) −8.17601 4.91934i −0.456340 0.274571i
\(322\) −1.30354 2.45873i −0.0726433 0.137020i
\(323\) −3.15739 7.92446i −0.175682 0.440929i
\(324\) 1.90418 0.419142i 0.105788 0.0232857i
\(325\) 9.10022 2.00311i 0.504790 0.111113i
\(326\) −7.27184 18.2509i −0.402750 1.01083i
\(327\) 4.03503 + 7.61087i 0.223138 + 0.420882i
\(328\) −0.826220 0.497120i −0.0456204 0.0274489i
\(329\) 2.31792 1.39465i 0.127791 0.0768894i
\(330\) 12.1050 22.8324i 0.666357 1.25688i
\(331\) −20.6108 2.24156i −1.13287 0.123207i −0.477583 0.878586i \(-0.658487\pi\)
−0.655288 + 0.755379i \(0.727453\pi\)
\(332\) −10.4899 + 7.97422i −0.575708 + 0.437642i
\(333\) 5.21429 7.69051i 0.285741 0.421437i
\(334\) 3.32386 20.2747i 0.181874 1.10938i
\(335\) −0.466486 + 1.17079i −0.0254869 + 0.0639672i
\(336\) −2.14318 + 0.233085i −0.116920 + 0.0127158i
\(337\) −16.1543 + 15.3022i −0.879983 + 0.833564i −0.987005 0.160692i \(-0.948627\pi\)
0.107021 + 0.994257i \(0.465869\pi\)
\(338\) 13.2017 + 15.5422i 0.718077 + 0.845385i
\(339\) 15.8537 7.33470i 0.861055 0.398366i
\(340\) −8.60797 12.6958i −0.466833 0.688527i
\(341\) 24.2585 + 8.17362i 1.31367 + 0.442627i
\(342\) 1.51789 5.46695i 0.0820781 0.295619i
\(343\) 4.67377 5.50239i 0.252360 0.297101i
\(344\) −0.0444200 0.819279i −0.00239497 0.0441726i
\(345\) −6.64119 + 2.23768i −0.357550 + 0.120472i
\(346\) −5.19295 3.94758i −0.279175 0.212223i
\(347\) −21.3182 20.1937i −1.14442 1.08405i −0.995457 0.0952112i \(-0.969647\pi\)
−0.148964 0.988843i \(-0.547594\pi\)
\(348\) 0.0438264 0.808331i 0.00234934 0.0433311i
\(349\) 1.81171 + 6.52518i 0.0969785 + 0.349285i 0.996080 0.0884549i \(-0.0281929\pi\)
−0.899102 + 0.437740i \(0.855779\pi\)
\(350\) −1.83328 0.848167i −0.0979931 0.0453365i
\(351\) −0.780265 4.75941i −0.0416475 0.254038i
\(352\) −38.3196 8.43477i −2.04244 0.449575i
\(353\) −2.47313 −0.131631 −0.0658157 0.997832i \(-0.520965\pi\)
−0.0658157 + 0.997832i \(0.520965\pi\)
\(354\) −4.37447 14.6253i −0.232501 0.777328i
\(355\) −3.03824 −0.161253
\(356\) −18.7976 4.13767i −0.996271 0.219296i
\(357\) 0.254306 + 1.55120i 0.0134593 + 0.0820982i
\(358\) 27.9623 + 12.9368i 1.47786 + 0.683729i
\(359\) 4.10327 + 14.7786i 0.216562 + 0.779986i 0.989379 + 0.145358i \(0.0464332\pi\)
−0.772817 + 0.634629i \(0.781153\pi\)
\(360\) −0.0142301 + 0.262459i −0.000749992 + 0.0138328i
\(361\) 7.87689 + 7.46139i 0.414573 + 0.392705i
\(362\) −40.6441 30.8969i −2.13621 1.62390i
\(363\) −12.6909 + 4.27606i −0.666099 + 0.224435i
\(364\) −0.267825 4.93974i −0.0140379 0.258913i
\(365\) −22.4825 + 26.4685i −1.17679 + 1.38542i
\(366\) 0.498561 1.79566i 0.0260602 0.0938604i
\(367\) 22.4633 + 7.56877i 1.17257 + 0.395087i 0.837146 0.546979i \(-0.184222\pi\)
0.335429 + 0.942066i \(0.391119\pi\)
\(368\) 6.12124 + 9.02815i 0.319092 + 0.470625i
\(369\) −8.76601 + 4.05559i −0.456340 + 0.211126i
\(370\) −31.4751 37.0554i −1.63631 1.92642i
\(371\) 4.61968 4.37599i 0.239842 0.227190i
\(372\) 10.0466 1.09264i 0.520893 0.0566506i
\(373\) −3.43113 + 8.61149i −0.177657 + 0.445886i −0.990657 0.136378i \(-0.956454\pi\)
0.813000 + 0.582264i \(0.197833\pi\)
\(374\) −4.74481 + 28.9421i −0.245348 + 1.49656i
\(375\) 4.53303 6.68572i 0.234085 0.345249i
\(376\) −0.408673 + 0.310665i −0.0210757 + 0.0160213i
\(377\) −1.99068 0.216500i −0.102525 0.0111503i
\(378\) −0.489731 + 0.923730i −0.0251890 + 0.0475116i
\(379\) 16.2439 9.77365i 0.834395 0.502039i −0.0331191 0.999451i \(-0.510544\pi\)
0.867514 + 0.497413i \(0.165716\pi\)
\(380\) −12.5576 7.55565i −0.644191 0.387597i
\(381\) −3.56828 6.73050i −0.182809 0.344814i
\(382\) 14.3682 + 36.0615i 0.735142 + 1.84507i
\(383\) 3.83709 0.844607i 0.196066 0.0431574i −0.115852 0.993267i \(-0.536960\pi\)
0.311918 + 0.950109i \(0.399029\pi\)
\(384\) 0.779735 0.171633i 0.0397907 0.00875859i
\(385\) 2.53200 + 6.35485i 0.129043 + 0.323873i
\(386\) −18.3529 34.6172i −0.934136 1.76197i
\(387\) −7.04222 4.23716i −0.357976 0.215387i
\(388\) 8.09117 4.86830i 0.410767 0.247150i
\(389\) 5.25050 9.90349i 0.266211 0.502127i −0.713984 0.700162i \(-0.753111\pi\)
0.980195 + 0.198035i \(0.0634560\pi\)
\(390\) −25.0885 2.72854i −1.27041 0.138165i
\(391\) 6.33155 4.81312i 0.320200 0.243410i
\(392\) −0.376665 + 0.555539i −0.0190244 + 0.0280589i
\(393\) 2.23492 13.6324i 0.112737 0.687663i
\(394\) 17.9405 45.0274i 0.903831 2.26845i
\(395\) −12.4515 + 1.35418i −0.626504 + 0.0681364i
\(396\) −6.99101 + 6.62223i −0.351311 + 0.332780i
\(397\) −8.48778 9.99259i −0.425990 0.501514i 0.506736 0.862101i \(-0.330852\pi\)
−0.932725 + 0.360588i \(0.882576\pi\)
\(398\) −14.4643 + 6.69188i −0.725028 + 0.335434i
\(399\) 0.842829 + 1.24308i 0.0421942 + 0.0622318i
\(400\) 7.50290 + 2.52802i 0.375145 + 0.126401i
\(401\) 4.84323 17.4437i 0.241860 0.871099i −0.738561 0.674186i \(-0.764495\pi\)
0.980421 0.196913i \(-0.0630917\pi\)
\(402\) 0.615877 0.725067i 0.0307172 0.0361630i
\(403\) −1.35336 24.9612i −0.0674155 1.24341i
\(404\) −9.98491 + 3.36431i −0.496768 + 0.167380i
\(405\) 2.09601 + 1.59335i 0.104152 + 0.0791741i
\(406\) 0.315145 + 0.298521i 0.0156404 + 0.0148154i
\(407\) −2.48439 + 45.8219i −0.123147 + 2.27131i
\(408\) −0.0798028 0.287424i −0.00395083 0.0142296i
\(409\) 20.7268 + 9.58926i 1.02488 + 0.474158i 0.858993 0.511987i \(-0.171091\pi\)
0.165883 + 0.986145i \(0.446953\pi\)
\(410\) 8.17646 + 49.8742i 0.403807 + 2.46311i
\(411\) 0.890547 + 0.196024i 0.0439275 + 0.00966916i
\(412\) −31.5397 −1.55385
\(413\) 3.70026 + 1.62374i 0.182078 + 0.0798992i
\(414\) 5.28995 0.259987
\(415\) −17.3772 3.82502i −0.853015 0.187763i
\(416\) 6.19889 + 37.8116i 0.303926 + 1.85386i
\(417\) −12.6223 5.83971i −0.618118 0.285972i
\(418\) 7.49658 + 27.0002i 0.366670 + 1.32062i
\(419\) 2.05671 37.9337i 0.100477 1.85318i −0.321912 0.946770i \(-0.604326\pi\)
0.422389 0.906415i \(-0.361192\pi\)
\(420\) 1.96062 + 1.85720i 0.0956686 + 0.0906221i
\(421\) 13.0416 + 9.91394i 0.635607 + 0.483176i 0.872665 0.488320i \(-0.162390\pi\)
−0.237058 + 0.971496i \(0.576183\pi\)
\(422\) 10.1882 3.43279i 0.495952 0.167106i
\(423\) 0.278390 + 5.13459i 0.0135358 + 0.249653i
\(424\) −0.781741 + 0.920336i −0.0379647 + 0.0446955i
\(425\) 1.54442 5.56248i 0.0749151 0.269820i
\(426\) 2.17334 + 0.732283i 0.105299 + 0.0354792i
\(427\) 0.276833 + 0.408298i 0.0133969 + 0.0197589i
\(428\) 16.8849 7.81179i 0.816163 0.377597i
\(429\) 15.4205 + 18.1544i 0.744509 + 0.876503i
\(430\) −31.2213 + 29.5744i −1.50563 + 1.42620i
\(431\) 6.40396 0.696473i 0.308468 0.0335479i 0.0474240 0.998875i \(-0.484899\pi\)
0.261044 + 0.965327i \(0.415933\pi\)
\(432\) 1.51680 3.80689i 0.0729773 0.183159i
\(433\) −2.48045 + 15.1301i −0.119203 + 0.727106i 0.857816 + 0.513956i \(0.171821\pi\)
−0.977019 + 0.213150i \(0.931628\pi\)
\(434\) −3.04110 + 4.48529i −0.145978 + 0.215301i
\(435\) 0.870237 0.661537i 0.0417247 0.0317183i
\(436\) −16.6975 1.81596i −0.799665 0.0869688i
\(437\) 3.55939 6.71372i 0.170269 0.321161i
\(438\) 22.4618 13.5148i 1.07327 0.645764i
\(439\) 14.7385 + 8.86788i 0.703432 + 0.423241i 0.821836 0.569725i \(-0.192950\pi\)
−0.118404 + 0.992966i \(0.537778\pi\)
\(440\) −0.608059 1.14692i −0.0289881 0.0546773i
\(441\) 2.48853 + 6.24574i 0.118501 + 0.297416i
\(442\) 27.9707 6.15682i 1.33043 0.292850i
\(443\) −11.3801 + 2.50496i −0.540687 + 0.119014i −0.476913 0.878950i \(-0.658245\pi\)
−0.0637733 + 0.997964i \(0.520313\pi\)
\(444\) 6.70555 + 16.8297i 0.318231 + 0.798701i
\(445\) −12.1744 22.9634i −0.577124 1.08857i
\(446\) 36.6678 + 22.0623i 1.73627 + 1.04468i
\(447\) −16.7425 + 10.0736i −0.791892 + 0.476466i
\(448\) 1.87110 3.52928i 0.0884013 0.166743i
\(449\) −8.20617 0.892475i −0.387273 0.0421185i −0.0875883 0.996157i \(-0.527916\pi\)
−0.299685 + 0.954038i \(0.596882\pi\)
\(450\) 3.05678 2.32370i 0.144098 0.109540i
\(451\) 26.7701 39.4829i 1.26055 1.85918i
\(452\) −5.51012 + 33.6102i −0.259174 + 1.58089i
\(453\) −5.11353 + 12.8340i −0.240255 + 0.602993i
\(454\) −27.2390 + 2.96242i −1.27839 + 0.139033i
\(455\) 4.84979 4.59397i 0.227362 0.215369i
\(456\) −0.184508 0.217220i −0.00864040 0.0101723i
\(457\) −11.4899 + 5.31580i −0.537476 + 0.248663i −0.669797 0.742544i \(-0.733619\pi\)
0.132321 + 0.991207i \(0.457757\pi\)
\(458\) −20.3534 30.0190i −0.951051 1.40270i
\(459\) −2.83158 0.954072i −0.132167 0.0445323i
\(460\) 3.65552 13.1660i 0.170439 0.613867i
\(461\) 7.44084 8.76004i 0.346555 0.407996i −0.561077 0.827764i \(-0.689613\pi\)
0.907631 + 0.419768i \(0.137889\pi\)
\(462\) −0.279554 5.15606i −0.0130060 0.239882i
\(463\) 20.8639 7.02987i 0.969628 0.326706i 0.210461 0.977602i \(-0.432503\pi\)
0.759166 + 0.650897i \(0.225607\pi\)
\(464\) −1.35448 1.02965i −0.0628802 0.0478003i
\(465\) 9.90729 + 9.38469i 0.459440 + 0.435204i
\(466\) 0.411191 7.58397i 0.0190480 0.351321i
\(467\) 4.53373 + 16.3290i 0.209796 + 0.755617i 0.991289 + 0.131703i \(0.0420445\pi\)
−0.781493 + 0.623914i \(0.785542\pi\)
\(468\) 8.53449 + 3.94848i 0.394507 + 0.182518i
\(469\) 0.0407401 + 0.248504i 0.00188120 + 0.0114748i
\(470\) 26.2776 + 5.78413i 1.21209 + 0.266802i
\(471\) 12.2957 0.566554
\(472\) −0.731387 0.230407i −0.0336648 0.0106054i
\(473\) 40.5905 1.86635
\(474\) 9.23330 + 2.03240i 0.424100 + 0.0933514i
\(475\) −0.892337 5.44302i −0.0409432 0.249743i
\(476\) −2.78159 1.28690i −0.127494 0.0589849i
\(477\) 3.23594 + 11.6548i 0.148164 + 0.533637i
\(478\) 2.57858 47.5592i 0.117942 2.17531i
\(479\) −5.90151 5.59021i −0.269647 0.255423i 0.540913 0.841078i \(-0.318079\pi\)
−0.810560 + 0.585655i \(0.800837\pi\)
\(480\) −16.6520 12.6585i −0.760055 0.577779i
\(481\) 42.4668 14.3087i 1.93632 0.652421i
\(482\) −1.25501 23.1473i −0.0571643 1.05433i
\(483\) −0.906518 + 1.06724i −0.0412480 + 0.0485609i
\(484\) 6.98546 25.1594i 0.317521 1.14361i
\(485\) 12.0837 + 4.07147i 0.548692 + 0.184876i
\(486\) −1.11530 1.64495i −0.0505912 0.0746165i
\(487\) −38.4563 + 17.7918i −1.74262 + 0.806223i −0.753803 + 0.657100i \(0.771783\pi\)
−0.988819 + 0.149123i \(0.952355\pi\)
\(488\) −0.0606031 0.0713475i −0.00274337 0.00322975i
\(489\) −7.17676 + 6.79819i −0.324544 + 0.307425i
\(490\) 34.9737 3.80362i 1.57995 0.171830i
\(491\) −0.123442 + 0.309815i −0.00557085 + 0.0139818i −0.931736 0.363137i \(-0.881706\pi\)
0.926165 + 0.377119i \(0.123085\pi\)
\(492\) 3.04672 18.5842i 0.137357 0.837839i
\(493\) −0.696196 + 1.02681i −0.0313551 + 0.0462453i
\(494\) 21.7844 16.5601i 0.980128 0.745074i
\(495\) −12.9271 1.40590i −0.581028 0.0631906i
\(496\) 9.94904 18.7659i 0.446725 0.842613i
\(497\) −0.520173 + 0.312978i −0.0233329 + 0.0140390i
\(498\) 11.5085 + 6.92444i 0.515708 + 0.310291i
\(499\) 8.21537 + 15.4958i 0.367770 + 0.693688i 0.996469 0.0839606i \(-0.0267570\pi\)
−0.628699 + 0.777649i \(0.716412\pi\)
\(500\) 5.82945 + 14.6308i 0.260701 + 0.654310i
\(501\) −10.0961 + 2.22232i −0.451060 + 0.0992857i
\(502\) −8.12524 + 1.78850i −0.362647 + 0.0798247i
\(503\) 8.63323 + 21.6678i 0.384937 + 0.966118i 0.985974 + 0.166897i \(0.0533749\pi\)
−0.601038 + 0.799221i \(0.705246\pi\)
\(504\) 0.0246003 + 0.0464010i 0.00109578 + 0.00206687i
\(505\) −12.1913 7.33527i −0.542506 0.326415i
\(506\) −22.3863 + 13.4694i −0.995194 + 0.598789i
\(507\) 4.80623 9.06551i 0.213452 0.402613i
\(508\) 14.7660 + 1.60590i 0.655137 + 0.0712505i
\(509\) −18.7031 + 14.2177i −0.828999 + 0.630189i −0.931173 0.364578i \(-0.881213\pi\)
0.102174 + 0.994767i \(0.467420\pi\)
\(510\) −8.77412 + 12.9409i −0.388525 + 0.573031i
\(511\) −1.12261 + 6.84761i −0.0496613 + 0.302920i
\(512\) −11.7475 + 29.4841i −0.519173 + 1.30303i
\(513\) −2.83812 + 0.308665i −0.125306 + 0.0136279i
\(514\) −27.0216 + 25.5962i −1.19187 + 1.12900i
\(515\) −27.5720 32.4603i −1.21497 1.43037i
\(516\) 14.5434 6.72851i 0.640239 0.296206i
\(517\) −14.2519 21.0200i −0.626800 0.924461i
\(518\) −9.20598 3.10186i −0.404487 0.136288i
\(519\) −0.878080 + 3.16256i −0.0385434 + 0.138821i
\(520\) −0.820680 + 0.966179i −0.0359892 + 0.0423698i
\(521\) 1.14394 + 21.0988i 0.0501170 + 0.924354i 0.910192 + 0.414186i \(0.135934\pi\)
−0.860075 + 0.510167i \(0.829583\pi\)
\(522\) −0.781950 + 0.263470i −0.0342250 + 0.0115317i
\(523\) −19.5747 14.8803i −0.855941 0.650670i 0.0823166 0.996606i \(-0.473768\pi\)
−0.938258 + 0.345937i \(0.887561\pi\)
\(524\) 19.5546 + 18.5231i 0.854245 + 0.809184i
\(525\) −0.0550263 + 1.01490i −0.00240155 + 0.0442939i
\(526\) 0.0854258 + 0.307676i 0.00372474 + 0.0134153i
\(527\) −14.0557 6.50288i −0.612277 0.283270i
\(528\) 3.27430 + 19.9724i 0.142496 + 0.869186i
\(529\) −15.5430 3.42128i −0.675784 0.148751i
\(530\) 63.2918 2.74922
\(531\) −6.02165 + 4.76863i −0.261317 + 0.206941i
\(532\) −2.92829 −0.126958
\(533\) −45.4943 10.0141i −1.97058 0.433757i
\(534\) 3.17402 + 19.3607i 0.137353 + 0.837818i
\(535\) 22.8006 + 10.5487i 0.985755 + 0.456059i
\(536\) −0.0127845 0.0460455i −0.000552205 0.00198886i
\(537\) 0.839295 15.4799i 0.0362182 0.668006i
\(538\) −6.09548 5.77394i −0.262795 0.248932i
\(539\) −26.4342 20.0947i −1.13860 0.865542i
\(540\) −4.86477 + 1.63913i −0.209346 + 0.0705370i
\(541\) 1.74323 + 32.1519i 0.0749472 + 1.38232i 0.758145 + 0.652086i \(0.226106\pi\)
−0.683198 + 0.730233i \(0.739411\pi\)
\(542\) 4.95409 5.83240i 0.212796 0.250523i
\(543\) −6.87255 + 24.7527i −0.294929 + 1.06224i
\(544\) 22.4958 + 7.57971i 0.964499 + 0.324978i
\(545\) −12.7280 18.7724i −0.545207 0.804120i
\(546\) −4.57644 + 2.11729i −0.195853 + 0.0906114i
\(547\) 2.71586 + 3.19736i 0.116122 + 0.136709i 0.817152 0.576423i \(-0.195552\pi\)
−0.701030 + 0.713132i \(0.747276\pi\)
\(548\) −1.29077 + 1.22268i −0.0551388 + 0.0522303i
\(549\) −0.932201 + 0.101383i −0.0397854 + 0.00432692i
\(550\) −7.01919 + 17.6168i −0.299299 + 0.751184i
\(551\) −0.191760 + 1.16969i −0.00816926 + 0.0498303i
\(552\) 0.149122 0.219939i 0.00634706 0.00936121i
\(553\) −1.99231 + 1.51451i −0.0847215 + 0.0644036i
\(554\) 28.7435 + 3.12604i 1.22119 + 0.132813i
\(555\) −11.4589 + 21.6138i −0.486403 + 0.917453i
\(556\) 23.2353 13.9802i 0.985395 0.592893i
\(557\) 9.18554 + 5.52676i 0.389204 + 0.234176i 0.696684 0.717378i \(-0.254658\pi\)
−0.307480 + 0.951555i \(0.599486\pi\)
\(558\) −4.82504 9.10100i −0.204260 0.385276i
\(559\) −14.6716 36.8229i −0.620542 1.55744i
\(560\) 5.54331 1.22017i 0.234247 0.0515618i
\(561\) 14.4122 3.17235i 0.608482 0.133937i
\(562\) 18.0597 + 45.3266i 0.761805 + 1.91199i
\(563\) −10.4276 19.6686i −0.439471 0.828931i −1.00000 0.000795545i \(-0.999747\pi\)
0.560528 0.828135i \(-0.310598\pi\)
\(564\) −8.59083 5.16893i −0.361739 0.217651i
\(565\) −39.4082 + 23.7111i −1.65792 + 0.997534i
\(566\) 17.4082 32.8354i 0.731721 1.38017i
\(567\) 0.522990 + 0.0568786i 0.0219635 + 0.00238868i
\(568\) 0.0917116 0.0697174i 0.00384813 0.00292528i
\(569\) 7.25451 10.6996i 0.304125 0.448551i −0.644662 0.764468i \(-0.723002\pi\)
0.948787 + 0.315917i \(0.102312\pi\)
\(570\) −2.41675 + 14.7415i −0.101226 + 0.617453i
\(571\) 13.4247 33.6935i 0.561807 1.41003i −0.324036 0.946045i \(-0.605040\pi\)
0.885843 0.463984i \(-0.153581\pi\)
\(572\) −46.1705 + 5.02134i −1.93049 + 0.209953i
\(573\) 14.1804 13.4324i 0.592393 0.561145i
\(574\) 6.53756 + 7.69661i 0.272872 + 0.321250i
\(575\) 4.66727 2.15931i 0.194639 0.0900494i
\(576\) 4.26122 + 6.28483i 0.177551 + 0.261868i
\(577\) 16.4167 + 5.53142i 0.683435 + 0.230276i 0.639537 0.768760i \(-0.279126\pi\)
0.0438975 + 0.999036i \(0.486023\pi\)
\(578\) −4.29171 + 15.4573i −0.178511 + 0.642940i
\(579\) −12.7631 + 15.0259i −0.530417 + 0.624455i
\(580\) 0.115390 + 2.12823i 0.00479129 + 0.0883701i
\(581\) −3.36916 + 1.13520i −0.139776 + 0.0470961i
\(582\) −7.66249 5.82487i −0.317620 0.241449i
\(583\) −43.3699 41.0821i −1.79620 1.70145i
\(584\) 0.0712901 1.31487i 0.00295000 0.0544096i
\(585\) 3.39713 + 12.2354i 0.140454 + 0.505870i
\(586\) −34.8408 16.1191i −1.43926 0.665873i
\(587\) −3.19077 19.4628i −0.131697 0.803316i −0.967235 0.253883i \(-0.918292\pi\)
0.835538 0.549433i \(-0.185156\pi\)
\(588\) −12.8023 2.81800i −0.527958 0.116212i
\(589\) −14.7971 −0.609702
\(590\) 15.6132 + 37.0357i 0.642787 + 1.52474i
\(591\) −24.3885 −1.00321
\(592\) 37.1860 + 8.18526i 1.52833 + 0.336412i
\(593\) 2.53344 + 15.4533i 0.104036 + 0.634592i 0.986443 + 0.164105i \(0.0524735\pi\)
−0.882407 + 0.470487i \(0.844078\pi\)
\(594\) 8.90823 + 4.12139i 0.365509 + 0.169103i
\(595\) −1.10720 3.98778i −0.0453909 0.163483i
\(596\) 2.06255 38.0414i 0.0844852 1.55824i
\(597\) 5.82186 + 5.51476i 0.238273 + 0.225704i
\(598\) 20.3108 + 15.4399i 0.830572 + 0.631384i
\(599\) 36.5698 12.3218i 1.49420 0.503455i 0.550666 0.834726i \(-0.314374\pi\)
0.943536 + 0.331270i \(0.107477\pi\)
\(600\) −0.0104422 0.192595i −0.000426301 0.00786266i
\(601\) 29.2913 34.4844i 1.19482 1.40665i 0.303765 0.952747i \(-0.401756\pi\)
0.891052 0.453901i \(-0.149968\pi\)
\(602\) −2.29881 + 8.27958i −0.0936927 + 0.337450i
\(603\) −0.453622 0.152843i −0.0184729 0.00622425i
\(604\) −15.1164 22.2950i −0.615076 0.907169i
\(605\) 32.0004 14.8050i 1.30100 0.601907i
\(606\) 6.95282 + 8.18549i 0.282439 + 0.332513i
\(607\) 7.13360 6.75730i 0.289544 0.274271i −0.529116 0.848550i \(-0.677476\pi\)
0.818660 + 0.574279i \(0.194718\pi\)
\(608\) 22.5477 2.45221i 0.914432 0.0994504i
\(609\) 0.0808452 0.202906i 0.00327601 0.00822218i
\(610\) −0.793797 + 4.84195i −0.0321399 + 0.196045i
\(611\) −13.9176 + 20.5269i −0.563044 + 0.830428i
\(612\) 4.63796 3.52568i 0.187478 0.142517i
\(613\) 25.4484 + 2.76768i 1.02785 + 0.111786i 0.606477 0.795101i \(-0.292582\pi\)
0.421374 + 0.906887i \(0.361548\pi\)
\(614\) 3.33462 6.28976i 0.134574 0.253834i
\(615\) 21.7900 13.1106i 0.878659 0.528672i
\(616\) −0.222252 0.133725i −0.00895480 0.00538793i
\(617\) −3.34090 6.30160i −0.134499 0.253693i 0.807109 0.590402i \(-0.201031\pi\)
−0.941609 + 0.336709i \(0.890686\pi\)
\(618\) 11.8994 + 29.8652i 0.478663 + 1.20135i
\(619\) −17.4985 + 3.85172i −0.703326 + 0.154814i −0.552213 0.833703i \(-0.686217\pi\)
−0.151112 + 0.988517i \(0.548286\pi\)
\(620\) −25.9854 + 5.71982i −1.04360 + 0.229714i
\(621\) −0.985213 2.47270i −0.0395352 0.0992259i
\(622\) 31.3978 + 59.2225i 1.25894 + 2.37461i
\(623\) −4.44989 2.67741i −0.178281 0.107268i
\(624\) 16.9350 10.1895i 0.677944 0.407905i
\(625\) −14.4867 + 27.3247i −0.579466 + 1.09299i
\(626\) −61.3949 6.67709i −2.45383 0.266870i
\(627\) 11.2246 8.53273i 0.448268 0.340764i
\(628\) −13.4537 + 19.8428i −0.536862 + 0.791812i
\(629\) 4.49157 27.3974i 0.179091 1.09240i
\(630\) 1.01889 2.55722i 0.0405935 0.101882i
\(631\) 16.5530 1.80025i 0.658965 0.0716667i 0.227474 0.973784i \(-0.426953\pi\)
0.431491 + 0.902117i \(0.357988\pi\)
\(632\) 0.344784 0.326597i 0.0137148 0.0129913i
\(633\) −3.50206 4.12295i −0.139195 0.163872i
\(634\) 6.40550 2.96350i 0.254395 0.117696i
\(635\) 11.2557 + 16.6009i 0.446669 + 0.658787i
\(636\) −22.3493 7.53035i −0.886206 0.298598i
\(637\) −8.67483 + 31.2439i −0.343709 + 1.23793i
\(638\) 2.63825 3.10599i 0.104449 0.122967i
\(639\) −0.0624744 1.15227i −0.00247145 0.0455832i
\(640\) −1.99205 + 0.671201i −0.0787428 + 0.0265315i
\(641\) 8.67371 + 6.59358i 0.342591 + 0.260431i 0.762294 0.647230i \(-0.224073\pi\)
−0.419703 + 0.907661i \(0.637866\pi\)
\(642\) −13.7674 13.0412i −0.543357 0.514695i
\(643\) −2.02490 + 37.3471i −0.0798543 + 1.47283i 0.634436 + 0.772976i \(0.281232\pi\)
−0.714290 + 0.699850i \(0.753250\pi\)
\(644\) −0.730408 2.63069i −0.0287821 0.103664i
\(645\) 19.6388 + 9.08586i 0.773276 + 0.357755i
\(646\) −2.74272 16.7298i −0.107911 0.658226i
\(647\) −17.1266 3.76984i −0.673314 0.148208i −0.134863 0.990864i \(-0.543059\pi\)
−0.538451 + 0.842657i \(0.680990\pi\)
\(648\) −0.0998316 −0.00392176
\(649\) 13.3408 35.5126i 0.523671 1.39399i
\(650\) 18.5188 0.726366
\(651\) 2.66295 + 0.586160i 0.104369 + 0.0229734i
\(652\) −3.11823 19.0203i −0.122119 0.744894i
\(653\) 25.6913 + 11.8861i 1.00538 + 0.465138i 0.852287 0.523075i \(-0.175215\pi\)
0.153091 + 0.988212i \(0.451077\pi\)
\(654\) 4.58013 + 16.4961i 0.179097 + 0.645049i
\(655\) −1.96911 + 36.3182i −0.0769397 + 1.41907i
\(656\) −28.7355 27.2197i −1.12193 1.06275i
\(657\) −10.5006 7.98237i −0.409668 0.311422i
\(658\) 5.09478 1.71663i 0.198615 0.0669213i
\(659\) −2.00069 36.9005i −0.0779357 1.43744i −0.732157 0.681136i \(-0.761486\pi\)
0.654221 0.756303i \(-0.272997\pi\)
\(660\) 16.4134 19.3234i 0.638892 0.752162i
\(661\) −7.34505 + 26.4545i −0.285689 + 1.02896i 0.671857 + 0.740681i \(0.265497\pi\)
−0.957546 + 0.288279i \(0.906917\pi\)
\(662\) −39.0466 13.1563i −1.51759 0.511335i
\(663\) −8.08723 11.9278i −0.314082 0.463236i
\(664\) 0.612316 0.283288i 0.0237625 0.0109937i
\(665\) −2.55991 3.01376i −0.0992692 0.116869i
\(666\) 13.4063 12.6991i 0.519482 0.492079i
\(667\) −1.09864 + 0.119485i −0.0425396 + 0.00462646i
\(668\) 7.46060 18.7247i 0.288659 0.724480i
\(669\) 3.48354 21.2487i 0.134681 0.821521i
\(670\) −1.40562 + 2.07314i −0.0543039 + 0.0800923i
\(671\) 3.68680 2.80263i 0.142327 0.108194i
\(672\) −4.15495 0.451878i −0.160281 0.0174316i
\(673\) −8.46767 + 15.9717i −0.326405 + 0.615664i −0.991353 0.131225i \(-0.958109\pi\)
0.664948 + 0.746890i \(0.268454\pi\)
\(674\) −37.8922 + 22.7990i −1.45955 + 0.878184i
\(675\) −1.65548 0.996066i −0.0637193 0.0383386i
\(676\) 9.37103 + 17.6756i 0.360424 + 0.679832i
\(677\) −11.7403 29.4660i −0.451218 1.13247i −0.962070 0.272803i \(-0.912049\pi\)
0.510852 0.859668i \(-0.329330\pi\)
\(678\) 33.9047 7.46298i 1.30210 0.286614i
\(679\) 2.48824 0.547704i 0.0954900 0.0210189i
\(680\) 0.290698 + 0.729597i 0.0111478 + 0.0279788i
\(681\) 6.45779 + 12.1807i 0.247463 + 0.466765i
\(682\) 43.5921 + 26.2285i 1.66923 + 1.00434i
\(683\) −2.76995 + 1.66662i −0.105989 + 0.0637715i −0.567561 0.823331i \(-0.692113\pi\)
0.461572 + 0.887103i \(0.347285\pi\)
\(684\) 2.60731 4.91790i 0.0996929 0.188041i
\(685\) −2.38676 0.259575i −0.0911933 0.00991787i
\(686\) 11.4223 8.68300i 0.436105 0.331519i
\(687\) −10.2412 + 15.1046i −0.390726 + 0.576278i
\(688\) 5.44875 33.2359i 0.207732 1.26711i
\(689\) −21.5927 + 54.1936i −0.822616 + 2.06461i
\(690\) −13.8461 + 1.50586i −0.527114 + 0.0573271i
\(691\) −1.71361 + 1.62321i −0.0651886 + 0.0617500i −0.719600 0.694388i \(-0.755675\pi\)
0.654412 + 0.756138i \(0.272916\pi\)
\(692\) −4.14296 4.87747i −0.157492 0.185414i
\(693\) −2.35805 + 1.09095i −0.0895748 + 0.0414417i
\(694\) −32.7499 48.3025i −1.24317 1.83354i
\(695\) 34.7005 + 11.6920i 1.31627 + 0.443502i
\(696\) −0.0110887 + 0.0399380i −0.000420317 + 0.00151385i
\(697\) −18.6837 + 21.9962i −0.707696 + 0.833164i
\(698\) 0.728641 + 13.4390i 0.0275795 + 0.508673i
\(699\) −3.62158 + 1.22025i −0.136981 + 0.0461541i
\(700\) −1.57764 1.19929i −0.0596292 0.0453289i
\(701\) 21.5493 + 20.4125i 0.813904 + 0.770971i 0.976453 0.215730i \(-0.0692130\pi\)
−0.162549 + 0.986700i \(0.551972\pi\)
\(702\) 0.518928 9.57107i 0.0195857 0.361237i
\(703\) −7.09647 25.5592i −0.267648 0.963982i
\(704\) −34.0355 15.7465i −1.28276 0.593468i
\(705\) −2.19030 13.3603i −0.0824916 0.503176i
\(706\) −4.80019 1.05660i −0.180658 0.0397657i
\(707\) −2.84288 −0.106918
\(708\) −1.10682 14.9355i −0.0415970 0.561310i
\(709\) 16.3108 0.612563 0.306282 0.951941i \(-0.400915\pi\)
0.306282 + 0.951941i \(0.400915\pi\)
\(710\) −5.89704 1.29804i −0.221312 0.0487145i
\(711\) −0.769619 4.69447i −0.0288629 0.176056i
\(712\) 0.894427 + 0.413806i 0.0335201 + 0.0155080i
\(713\) −3.69085 13.2932i −0.138224 0.497836i
\(714\) −0.169131 + 3.11943i −0.00632956 + 0.116742i
\(715\) −45.5302 43.1285i −1.70273 1.61291i
\(716\) 24.0631 + 18.2923i 0.899281 + 0.683615i
\(717\) −22.7110 + 7.65221i −0.848156 + 0.285777i
\(718\) 1.65027 + 30.4375i 0.0615876 + 1.13592i
\(719\) −4.60719 + 5.42400i −0.171819 + 0.202281i −0.841331 0.540520i \(-0.818227\pi\)
0.669512 + 0.742801i \(0.266503\pi\)
\(720\) −2.88646 + 10.3961i −0.107572 + 0.387440i
\(721\) −8.06437 2.71720i −0.300333 0.101194i
\(722\) 12.1008 + 17.8474i 0.450345 + 0.664210i
\(723\) −10.5861 + 4.89765i −0.393701 + 0.182145i
\(724\) −32.4261 38.1749i −1.20511 1.41876i
\(725\) −0.582360 + 0.551641i −0.0216283 + 0.0204874i
\(726\) −26.4591 + 2.87760i −0.981989 + 0.106798i
\(727\) 7.89116 19.8053i 0.292667 0.734539i −0.706961 0.707253i \(-0.749934\pi\)
0.999628 0.0272860i \(-0.00868649\pi\)
\(728\) −0.0409786 + 0.249959i −0.00151877 + 0.00926408i
\(729\) −0.561187 + 0.827689i −0.0207847 + 0.0306551i
\(730\) −54.9454 + 41.7684i −2.03362 + 1.54592i
\(731\) −24.4134 2.65512i −0.902962 0.0982030i
\(732\) 0.856388 1.61532i 0.0316530 0.0597039i
\(733\) 11.9110 7.16660i 0.439942 0.264704i −0.278305 0.960493i \(-0.589772\pi\)
0.718247 + 0.695788i \(0.244945\pi\)
\(734\) 40.3663 + 24.2876i 1.48995 + 0.896471i
\(735\) −8.29152 15.6395i −0.305837 0.576870i
\(736\) 7.82711 + 19.6446i 0.288511 + 0.724109i
\(737\) 2.30884 0.508214i 0.0850472 0.0187203i
\(738\) −18.7470 + 4.12652i −0.690085 + 0.151899i
\(739\) 16.3423 + 41.0162i 0.601162 + 1.50880i 0.842684 + 0.538408i \(0.180974\pi\)
−0.241522 + 0.970395i \(0.577647\pi\)
\(740\) −22.3422 42.1418i −0.821315 1.54916i
\(741\) −11.7979 7.09857i −0.433407 0.260772i
\(742\) 10.8361 6.51985i 0.397805 0.239351i
\(743\) −9.35005 + 17.6361i −0.343020 + 0.647004i −0.993666 0.112377i \(-0.964153\pi\)
0.650646 + 0.759381i \(0.274498\pi\)
\(744\) −0.514405 0.0559450i −0.0188590 0.00205104i
\(745\) 40.9549 31.1331i 1.50047 1.14063i
\(746\) −10.3387 + 15.2485i −0.378528 + 0.558287i
\(747\) 1.09334 6.66907i 0.0400032 0.244009i
\(748\) −10.6500 + 26.7295i −0.389403 + 0.977327i
\(749\) 4.99030 0.542728i 0.182342 0.0198308i
\(750\) 11.6547 11.0399i 0.425569 0.403121i
\(751\) 28.7399 + 33.8353i 1.04874 + 1.23467i 0.971347 + 0.237666i \(0.0763822\pi\)
0.0773883 + 0.997001i \(0.475342\pi\)
\(752\) −19.1246 + 8.84798i −0.697402 + 0.322652i
\(753\) 2.34927 + 3.46491i 0.0856120 + 0.126268i
\(754\) −3.77130 1.27070i −0.137343 0.0462761i
\(755\) 9.73099 35.0478i 0.354147 1.27552i
\(756\) −0.664039 + 0.781767i −0.0241509 + 0.0284326i
\(757\) −0.00968438 0.178618i −0.000351985 0.00649198i 0.998352 0.0573846i \(-0.0182761\pi\)
−0.998704 + 0.0508926i \(0.983793\pi\)
\(758\) 35.7041 12.0301i 1.29683 0.436953i
\(759\) 10.4653 + 7.95554i 0.379867 + 0.288768i
\(760\) 0.544775 + 0.516038i 0.0197611 + 0.0187187i
\(761\) 1.35598 25.0095i 0.0491542 0.906595i −0.865137 0.501536i \(-0.832768\pi\)
0.914291 0.405059i \(-0.132749\pi\)
\(762\) −4.05033 14.5880i −0.146728 0.528466i
\(763\) −4.11293 1.90284i −0.148898 0.0688876i
\(764\) 6.16122 + 37.5818i 0.222905 + 1.35966i
\(765\) 7.68310 + 1.69118i 0.277783 + 0.0611446i
\(766\) 7.80839 0.282129
\(767\) −37.0385 + 0.733692i −1.33738 + 0.0264921i
\(768\) 16.7732 0.605250
\(769\) −42.0463 9.25508i −1.51623 0.333747i −0.622594 0.782545i \(-0.713921\pi\)
−0.893633 + 0.448798i \(0.851852\pi\)
\(770\) 2.19946 + 13.4161i 0.0792630 + 0.483483i
\(771\) 16.9971 + 7.86368i 0.612134 + 0.283203i
\(772\) −10.2836 37.0382i −0.370115 1.33304i
\(773\)