Properties

Label 475.2.bc.a.111.2
Level $475$
Weight $2$
Character 475.111
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 111.2
Character \(\chi\) \(=\) 475.111
Dual form 475.2.bc.a.291.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.63731 - 0.184419i) q^{2} +(0.0829782 + 2.37618i) q^{3} +(4.94088 + 0.694396i) q^{4} +(1.77686 - 1.35748i) q^{5} +(0.219374 - 6.28205i) q^{6} +(2.24445 + 3.88750i) q^{7} +(-7.73064 - 1.64320i) q^{8} +(-2.64667 + 0.185073i) q^{9} +O(q^{10})\) \(q+(-2.63731 - 0.184419i) q^{2} +(0.0829782 + 2.37618i) q^{3} +(4.94088 + 0.694396i) q^{4} +(1.77686 - 1.35748i) q^{5} +(0.219374 - 6.28205i) q^{6} +(2.24445 + 3.88750i) q^{7} +(-7.73064 - 1.64320i) q^{8} +(-2.64667 + 0.185073i) q^{9} +(-4.93649 + 3.25242i) q^{10} +(0.230863 + 2.19652i) q^{11} +(-1.24003 + 11.7981i) q^{12} +(2.72113 + 4.03425i) q^{13} +(-5.20239 - 10.6665i) q^{14} +(3.37307 + 4.10951i) q^{15} +(10.4928 + 3.00875i) q^{16} +(2.16319 - 5.35407i) q^{17} +7.01423 q^{18} +(1.00901 - 4.24051i) q^{19} +(9.72190 - 5.47331i) q^{20} +(-9.05117 + 5.65580i) q^{21} +(-0.203779 - 5.83548i) q^{22} +(1.71795 + 1.65900i) q^{23} +(3.26307 - 18.5058i) q^{24} +(1.31448 - 4.82412i) q^{25} +(-6.43249 - 11.1414i) q^{26} +(0.0862070 + 0.820205i) q^{27} +(8.39009 + 20.7662i) q^{28} +(-0.115971 - 0.287038i) q^{29} +(-8.13797 - 11.4601i) q^{30} +(2.43706 - 2.70663i) q^{31} +(-12.2644 - 4.46389i) q^{32} +(-5.20017 + 0.730836i) q^{33} +(-6.69239 + 13.7214i) q^{34} +(9.26529 + 3.86075i) q^{35} +(-13.2054 - 0.923411i) q^{36} +(-5.50350 - 3.99852i) q^{37} +(-3.44310 + 10.9975i) q^{38} +(-9.36031 + 6.80067i) q^{39} +(-15.9669 + 7.57447i) q^{40} +(5.22109 + 1.49712i) q^{41} +(24.9138 - 13.2469i) q^{42} +(-0.237442 + 1.34660i) q^{43} +(-0.384584 + 11.0130i) q^{44} +(-4.45154 + 3.92166i) q^{45} +(-4.22481 - 4.69213i) q^{46} +(-1.42917 - 3.53732i) q^{47} +(-6.27868 + 25.1824i) q^{48} +(-6.57510 + 11.3884i) q^{49} +(-4.35637 + 12.4803i) q^{50} +(12.9018 + 4.69586i) q^{51} +(10.6434 + 21.8223i) q^{52} +(-11.2644 - 1.58311i) q^{53} +(-0.0760936 - 2.17904i) q^{54} +(3.39194 + 3.58952i) q^{55} +(-10.9631 - 33.7409i) q^{56} +(10.1599 + 2.04572i) q^{57} +(0.252917 + 0.778398i) q^{58} +(-1.15120 - 4.61723i) q^{59} +(13.8123 + 22.6469i) q^{60} +(-1.71956 - 1.66056i) q^{61} +(-6.92645 + 6.68880i) q^{62} +(-6.65979 - 9.87354i) q^{63} +(11.5781 + 5.15492i) q^{64} +(10.3115 + 3.47441i) q^{65} +(13.8493 - 0.968435i) q^{66} +(-4.16630 - 2.60339i) q^{67} +(14.4059 - 24.9517i) q^{68} +(-3.79954 + 4.21982i) q^{69} +(-23.7235 - 11.8907i) q^{70} +(5.70965 + 3.03587i) q^{71} +(20.7646 + 2.91827i) q^{72} +(-5.36039 + 7.94711i) q^{73} +(13.7770 + 11.5603i) q^{74} +(11.5721 + 2.72316i) q^{75} +(7.92998 - 20.2512i) q^{76} +(-8.02080 + 5.82745i) q^{77} +(25.9403 - 16.2093i) q^{78} +(0.176288 + 5.04822i) q^{79} +(22.7285 - 8.89761i) q^{80} +(-9.82374 + 1.38064i) q^{81} +(-13.4936 - 4.91126i) q^{82} +(-5.14623 + 5.71547i) q^{83} +(-48.6481 + 21.6595i) q^{84} +(-3.42438 - 12.4499i) q^{85} +(0.874548 - 3.50762i) q^{86} +(0.672433 - 0.299386i) q^{87} +(1.82459 - 17.3598i) q^{88} +(-5.60784 + 1.60802i) q^{89} +(12.4633 - 9.52170i) q^{90} +(-9.57568 + 19.6331i) q^{91} +(7.33617 + 9.38987i) q^{92} +(6.63367 + 5.56631i) q^{93} +(3.11683 + 9.59260i) q^{94} +(-3.96354 - 8.90451i) q^{95} +(9.58935 - 29.5130i) q^{96} +(9.90157 - 6.18718i) q^{97} +(19.4409 - 28.8222i) q^{98} +(-1.01753 - 5.77073i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152q - 18q^{2} - 18q^{3} - 18q^{4} - 24q^{5} - 18q^{6} - 30q^{7} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 1152q - 18q^{2} - 18q^{3} - 18q^{4} - 24q^{5} - 18q^{6} - 30q^{7} - 9q^{8} - 18q^{9} - 33q^{10} - 9q^{12} - 18q^{13} - 18q^{14} + 27q^{15} - 30q^{16} - 36q^{17} - 144q^{18} - 18q^{19} - 54q^{20} + 9q^{21} + 6q^{22} - 24q^{23} - 120q^{24} - 90q^{25} - 24q^{26} - 9q^{27} + 54q^{28} + 9q^{30} - 45q^{31} - 138q^{32} + 54q^{33} - 18q^{34} + 45q^{35} - 72q^{36} - 36q^{37} + 93q^{38} - 36q^{39} + 57q^{40} - 18q^{41} + 36q^{42} - 252q^{43} - 42q^{44} - 90q^{45} - 69q^{46} - 18q^{47} + 6q^{48} - 486q^{49} + 21q^{50} + 12q^{51} - 36q^{53} - 120q^{54} - 3q^{55} + 234q^{56} + 90q^{57} + 180q^{58} + 18q^{59} + 69q^{60} - 90q^{61} - 144q^{62} - 27q^{63} + 93q^{64} - 72q^{65} + 42q^{66} + 54q^{67} - 48q^{68} - 57q^{69} + 12q^{70} - 60q^{71} - 318q^{72} - 36q^{73} - 66q^{74} - 132q^{75} - 48q^{76} + 222q^{77} - 39q^{78} + 6q^{79} + 129q^{80} - 84q^{81} + 120q^{82} + 45q^{83} - 63q^{84} - 18q^{85} + 72q^{86} - 33q^{87} - 45q^{88} + 18q^{89} + 57q^{90} + 45q^{91} + 324q^{92} - 78q^{93} - 24q^{94} + 81q^{95} - 132q^{96} - 96q^{97} - 153q^{98} - 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.63731 0.184419i −1.86486 0.130404i −0.907639 0.419752i \(-0.862117\pi\)
−0.957224 + 0.289348i \(0.906562\pi\)
\(3\) 0.0829782 + 2.37618i 0.0479075 + 1.37189i 0.750770 + 0.660564i \(0.229683\pi\)
−0.702862 + 0.711326i \(0.748095\pi\)
\(4\) 4.94088 + 0.694396i 2.47044 + 0.347198i
\(5\) 1.77686 1.35748i 0.794637 0.607085i
\(6\) 0.219374 6.28205i 0.0895590 2.56463i
\(7\) 2.24445 + 3.88750i 0.848322 + 1.46934i 0.882705 + 0.469928i \(0.155720\pi\)
−0.0343828 + 0.999409i \(0.510947\pi\)
\(8\) −7.73064 1.64320i −2.73319 0.580958i
\(9\) −2.64667 + 0.185073i −0.882223 + 0.0616911i
\(10\) −4.93649 + 3.25242i −1.56106 + 1.02851i
\(11\) 0.230863 + 2.19652i 0.0696079 + 0.662275i 0.972579 + 0.232573i \(0.0747145\pi\)
−0.902971 + 0.429701i \(0.858619\pi\)
\(12\) −1.24003 + 11.7981i −0.357965 + 3.40581i
\(13\) 2.72113 + 4.03425i 0.754707 + 1.11890i 0.989170 + 0.146774i \(0.0468888\pi\)
−0.234464 + 0.972125i \(0.575333\pi\)
\(14\) −5.20239 10.6665i −1.39040 2.85074i
\(15\) 3.37307 + 4.10951i 0.870922 + 1.06107i
\(16\) 10.4928 + 3.00875i 2.62319 + 0.752189i
\(17\) 2.16319 5.35407i 0.524650 1.29855i −0.399574 0.916701i \(-0.630842\pi\)
0.924223 0.381852i \(-0.124714\pi\)
\(18\) 7.01423 1.65327
\(19\) 1.00901 4.24051i 0.231482 0.972839i
\(20\) 9.72190 5.47331i 2.17388 1.22387i
\(21\) −9.05117 + 5.65580i −1.97513 + 1.23420i
\(22\) −0.203779 5.83548i −0.0434459 1.24413i
\(23\) 1.71795 + 1.65900i 0.358217 + 0.345926i 0.851889 0.523722i \(-0.175457\pi\)
−0.493673 + 0.869648i \(0.664346\pi\)
\(24\) 3.26307 18.5058i 0.666070 3.77747i
\(25\) 1.31448 4.82412i 0.262897 0.964824i
\(26\) −6.43249 11.1414i −1.26152 2.18501i
\(27\) 0.0862070 + 0.820205i 0.0165905 + 0.157848i
\(28\) 8.39009 + 20.7662i 1.58558 + 3.92445i
\(29\) −0.115971 0.287038i −0.0215353 0.0533017i 0.916033 0.401103i \(-0.131373\pi\)
−0.937568 + 0.347801i \(0.886928\pi\)
\(30\) −8.13797 11.4601i −1.48578 2.09232i
\(31\) 2.43706 2.70663i 0.437709 0.486125i −0.483417 0.875390i \(-0.660604\pi\)
0.921126 + 0.389265i \(0.127271\pi\)
\(32\) −12.2644 4.46389i −2.16807 0.789112i
\(33\) −5.20017 + 0.730836i −0.905233 + 0.127222i
\(34\) −6.69239 + 13.7214i −1.14774 + 2.35321i
\(35\) 9.26529 + 3.86075i 1.56612 + 0.652586i
\(36\) −13.2054 0.923411i −2.20090 0.153902i
\(37\) −5.50350 3.99852i −0.904769 0.657353i 0.0349173 0.999390i \(-0.488883\pi\)
−0.939687 + 0.342037i \(0.888883\pi\)
\(38\) −3.44310 + 10.9975i −0.558545 + 1.78403i
\(39\) −9.36031 + 6.80067i −1.49885 + 1.08898i
\(40\) −15.9669 + 7.57447i −2.52459 + 1.19763i
\(41\) 5.22109 + 1.49712i 0.815398 + 0.233811i 0.657316 0.753615i \(-0.271691\pi\)
0.158081 + 0.987426i \(0.449469\pi\)
\(42\) 24.9138 13.2469i 3.84429 2.04404i
\(43\) −0.237442 + 1.34660i −0.0362095 + 0.205355i −0.997545 0.0700245i \(-0.977692\pi\)
0.961336 + 0.275379i \(0.0888034\pi\)
\(44\) −0.384584 + 11.0130i −0.0579782 + 1.66028i
\(45\) −4.45154 + 3.92166i −0.663596 + 0.584606i
\(46\) −4.22481 4.69213i −0.622915 0.691817i
\(47\) −1.42917 3.53732i −0.208466 0.515972i 0.786336 0.617799i \(-0.211976\pi\)
−0.994802 + 0.101827i \(0.967531\pi\)
\(48\) −6.27868 + 25.1824i −0.906250 + 3.63477i
\(49\) −6.57510 + 11.3884i −0.939300 + 1.62692i
\(50\) −4.35637 + 12.4803i −0.616083 + 1.76498i
\(51\) 12.9018 + 4.69586i 1.80661 + 0.657551i
\(52\) 10.6434 + 21.8223i 1.47598 + 3.02621i
\(53\) −11.2644 1.58311i −1.54729 0.217457i −0.686770 0.726875i \(-0.740972\pi\)
−0.860520 + 0.509417i \(0.829861\pi\)
\(54\) −0.0760936 2.17904i −0.0103550 0.296529i
\(55\) 3.39194 + 3.58952i 0.457370 + 0.484010i
\(56\) −10.9631 33.7409i −1.46500 4.50882i
\(57\) 10.1599 + 2.04572i 1.34572 + 0.270962i
\(58\) 0.252917 + 0.778398i 0.0332096 + 0.102209i
\(59\) −1.15120 4.61723i −0.149874 0.601112i −0.997509 0.0705329i \(-0.977530\pi\)
0.847635 0.530579i \(-0.178026\pi\)
\(60\) 13.8123 + 22.6469i 1.78316 + 2.92370i
\(61\) −1.71956 1.66056i −0.220167 0.212613i 0.576392 0.817173i \(-0.304460\pi\)
−0.796559 + 0.604560i \(0.793349\pi\)
\(62\) −6.92645 + 6.68880i −0.879660 + 0.849478i
\(63\) −6.65979 9.87354i −0.839054 1.24395i
\(64\) 11.5781 + 5.15492i 1.44727 + 0.644365i
\(65\) 10.3115 + 3.47441i 1.27898 + 0.430948i
\(66\) 13.8493 0.968435i 1.70473 0.119206i
\(67\) −4.16630 2.60339i −0.508995 0.318055i 0.250997 0.967988i \(-0.419242\pi\)
−0.759992 + 0.649933i \(0.774797\pi\)
\(68\) 14.4059 24.9517i 1.74697 3.02584i
\(69\) −3.79954 + 4.21982i −0.457411 + 0.508006i
\(70\) −23.7235 11.8907i −2.83550 1.42121i
\(71\) 5.70965 + 3.03587i 0.677610 + 0.360292i 0.772338 0.635211i \(-0.219087\pi\)
−0.0947280 + 0.995503i \(0.530198\pi\)
\(72\) 20.7646 + 2.91827i 2.44713 + 0.343921i
\(73\) −5.36039 + 7.94711i −0.627386 + 0.930138i 0.372611 + 0.927987i \(0.378462\pi\)
−0.999998 + 0.00215090i \(0.999315\pi\)
\(74\) 13.7770 + 11.5603i 1.60155 + 1.34386i
\(75\) 11.5721 + 2.72316i 1.33623 + 0.314443i
\(76\) 7.92998 20.2512i 0.909631 2.32297i
\(77\) −8.02080 + 5.82745i −0.914054 + 0.664099i
\(78\) 25.9403 16.2093i 2.93716 1.83534i
\(79\) 0.176288 + 5.04822i 0.0198339 + 0.567969i 0.968111 + 0.250523i \(0.0806027\pi\)
−0.948277 + 0.317445i \(0.897175\pi\)
\(80\) 22.7285 8.89761i 2.54113 0.994783i
\(81\) −9.82374 + 1.38064i −1.09153 + 0.153404i
\(82\) −13.4936 4.91126i −1.49011 0.542357i
\(83\) −5.14623 + 5.71547i −0.564873 + 0.627355i −0.956136 0.292924i \(-0.905372\pi\)
0.391263 + 0.920279i \(0.372038\pi\)
\(84\) −48.6481 + 21.6595i −5.30795 + 2.36325i
\(85\) −3.42438 12.4499i −0.371426 1.35039i
\(86\) 0.874548 3.50762i 0.0943049 0.378236i
\(87\) 0.672433 0.299386i 0.0720924 0.0320976i
\(88\) 1.82459 17.3598i 0.194502 1.85056i
\(89\) −5.60784 + 1.60802i −0.594429 + 0.170450i −0.559346 0.828934i \(-0.688948\pi\)
−0.0350838 + 0.999384i \(0.511170\pi\)
\(90\) 12.4633 9.52170i 1.31375 1.00368i
\(91\) −9.57568 + 19.6331i −1.00380 + 2.05810i
\(92\) 7.33617 + 9.38987i 0.764848 + 0.978961i
\(93\) 6.63367 + 5.56631i 0.687880 + 0.577200i
\(94\) 3.11683 + 9.59260i 0.321476 + 0.989402i
\(95\) −3.96354 8.90451i −0.406651 0.913584i
\(96\) 9.58935 29.5130i 0.978709 3.01216i
\(97\) 9.90157 6.18718i 1.00535 0.628213i 0.0758838 0.997117i \(-0.475822\pi\)
0.929468 + 0.368903i \(0.120267\pi\)
\(98\) 19.4409 28.8222i 1.96382 2.91149i
\(99\) −1.01753 5.77073i −0.102266 0.579980i
\(100\) 9.84455 22.9226i 0.984455 2.29226i
\(101\) −9.28976 3.38120i −0.924366 0.336442i −0.164392 0.986395i \(-0.552566\pi\)
−0.759974 + 0.649954i \(0.774788\pi\)
\(102\) −33.1600 14.7638i −3.28333 1.46183i
\(103\) −5.95646 6.61531i −0.586907 0.651826i 0.374412 0.927262i \(-0.377844\pi\)
−0.961319 + 0.275436i \(0.911178\pi\)
\(104\) −14.4070 35.6586i −1.41273 3.49662i
\(105\) −8.40504 + 22.3364i −0.820248 + 2.17981i
\(106\) 29.4159 + 6.25255i 2.85713 + 0.607301i
\(107\) 5.25360 + 9.09950i 0.507885 + 0.879682i 0.999958 + 0.00912838i \(0.00290569\pi\)
−0.492074 + 0.870554i \(0.663761\pi\)
\(108\) −0.143608 + 4.11240i −0.0138187 + 0.395715i
\(109\) −0.956853 + 0.924022i −0.0916499 + 0.0885052i −0.739072 0.673626i \(-0.764736\pi\)
0.647422 + 0.762131i \(0.275847\pi\)
\(110\) −8.28365 10.0922i −0.789815 0.962256i
\(111\) 9.04456 13.4091i 0.858471 1.27274i
\(112\) 11.8540 + 47.5436i 1.12009 + 4.49245i
\(113\) −14.2368 10.3436i −1.33928 0.973047i −0.999470 0.0325540i \(-0.989636\pi\)
−0.339814 0.940493i \(-0.610364\pi\)
\(114\) −26.4177 7.26889i −2.47425 0.680794i
\(115\) 5.30462 + 0.615736i 0.494658 + 0.0574177i
\(116\) −0.373681 1.49875i −0.0346954 0.139156i
\(117\) −7.94857 10.1737i −0.734846 0.940560i
\(118\) 2.18458 + 12.3894i 0.201107 + 1.14054i
\(119\) 25.6691 3.60756i 2.35308 0.330704i
\(120\) −19.3232 37.3118i −1.76396 3.40608i
\(121\) 5.98824 1.27284i 0.544385 0.115713i
\(122\) 4.22878 + 4.69654i 0.382856 + 0.425204i
\(123\) −3.12420 + 12.5305i −0.281700 + 1.12984i
\(124\) 13.9207 11.6809i 1.25012 1.04897i
\(125\) −4.21300 10.3562i −0.376822 0.926286i
\(126\) 15.7431 + 27.2678i 1.40251 + 2.42921i
\(127\) 8.14481 2.33549i 0.722735 0.207241i 0.105949 0.994372i \(-0.466212\pi\)
0.616786 + 0.787131i \(0.288434\pi\)
\(128\) −6.53685 3.47570i −0.577781 0.307212i
\(129\) −3.21947 0.452467i −0.283459 0.0398375i
\(130\) −26.5539 11.0648i −2.32893 0.970443i
\(131\) 5.61054 13.8866i 0.490195 1.21328i −0.456088 0.889935i \(-0.650750\pi\)
0.946283 0.323340i \(-0.104806\pi\)
\(132\) −26.2009 −2.28050
\(133\) 18.7496 5.59508i 1.62580 0.485155i
\(134\) 10.5077 + 7.63431i 0.907730 + 0.659504i
\(135\) 1.26659 + 1.34037i 0.109011 + 0.115360i
\(136\) −25.5206 + 37.8359i −2.18837 + 3.24440i
\(137\) −3.44262 + 7.05841i −0.294123 + 0.603041i −0.993770 0.111447i \(-0.964451\pi\)
0.699648 + 0.714488i \(0.253340\pi\)
\(138\) 10.7988 10.4283i 0.919255 0.887714i
\(139\) 17.2536 4.94740i 1.46344 0.419633i 0.552964 0.833205i \(-0.313497\pi\)
0.910471 + 0.413572i \(0.135719\pi\)
\(140\) 43.0978 + 25.5093i 3.64243 + 2.15593i
\(141\) 8.28674 3.68949i 0.697870 0.310712i
\(142\) −14.4983 9.05952i −1.21667 0.760258i
\(143\) −8.23308 + 6.90837i −0.688484 + 0.577707i
\(144\) −28.3277 6.02125i −2.36065 0.501771i
\(145\) −0.595714 0.352599i −0.0494714 0.0292818i
\(146\) 15.6026 19.9705i 1.29128 1.65277i
\(147\) −27.6065 14.6787i −2.27695 1.21068i
\(148\) −24.4156 23.5778i −2.00695 1.93809i
\(149\) −7.07971 + 2.57680i −0.579992 + 0.211100i −0.615322 0.788276i \(-0.710974\pi\)
0.0353298 + 0.999376i \(0.488752\pi\)
\(150\) −30.0170 9.31593i −2.45088 0.760642i
\(151\) −16.6843 −1.35775 −0.678875 0.734254i \(-0.737532\pi\)
−0.678875 + 0.734254i \(0.737532\pi\)
\(152\) −14.7683 + 31.1238i −1.19786 + 2.52448i
\(153\) −4.73434 + 14.5708i −0.382749 + 1.17798i
\(154\) 22.2281 13.8896i 1.79119 1.11926i
\(155\) 0.656120 8.11758i 0.0527008 0.652020i
\(156\) −50.9706 + 27.1015i −4.08091 + 2.16986i
\(157\) 3.22640 18.2978i 0.257494 1.46032i −0.532093 0.846686i \(-0.678594\pi\)
0.789588 0.613638i \(-0.210294\pi\)
\(158\) 0.466061 13.3462i 0.0370778 1.06177i
\(159\) 2.82707 26.8977i 0.224201 2.13313i
\(160\) −27.8519 + 8.71704i −2.20189 + 0.689143i
\(161\) −2.59352 + 10.4021i −0.204398 + 0.819797i
\(162\) 26.1629 1.82949i 2.05555 0.143738i
\(163\) −11.0396 + 4.91516i −0.864691 + 0.384985i −0.790649 0.612270i \(-0.790257\pi\)
−0.0740421 + 0.997255i \(0.523590\pi\)
\(164\) 24.7572 + 11.0226i 1.93321 + 0.860722i
\(165\) −8.24789 + 8.35773i −0.642097 + 0.650649i
\(166\) 14.6263 14.1244i 1.13522 1.09627i
\(167\) −0.523830 + 0.278525i −0.0405352 + 0.0215529i −0.489615 0.871938i \(-0.662863\pi\)
0.449080 + 0.893491i \(0.351752\pi\)
\(168\) 79.2649 28.8501i 6.11542 2.22583i
\(169\) −4.00069 + 9.90205i −0.307745 + 0.761696i
\(170\) 6.73515 + 33.4659i 0.516562 + 2.56672i
\(171\) −1.88571 + 11.4100i −0.144204 + 0.872542i
\(172\) −2.10825 + 6.48851i −0.160752 + 0.494744i
\(173\) 4.72593 + 0.330469i 0.359306 + 0.0251251i 0.248269 0.968691i \(-0.420138\pi\)
0.111037 + 0.993816i \(0.464583\pi\)
\(174\) −1.82863 + 0.665567i −0.138628 + 0.0504565i
\(175\) 21.7041 5.71744i 1.64067 0.432198i
\(176\) −4.18638 + 23.7422i −0.315560 + 1.78963i
\(177\) 10.8759 3.11860i 0.817480 0.234409i
\(178\) 15.0862 3.20667i 1.13076 0.240350i
\(179\) −1.73405 1.92585i −0.129609 0.143945i 0.674847 0.737958i \(-0.264210\pi\)
−0.804456 + 0.594013i \(0.797543\pi\)
\(180\) −24.7177 + 16.2853i −1.84235 + 1.21384i
\(181\) 19.6419 + 12.2736i 1.45997 + 0.912292i 0.999699 + 0.0245151i \(0.00780419\pi\)
0.460273 + 0.887777i \(0.347751\pi\)
\(182\) 28.8748 50.0126i 2.14034 3.70718i
\(183\) 3.80311 4.22378i 0.281134 0.312231i
\(184\) −10.5548 15.6481i −0.778107 1.15359i
\(185\) −15.2069 + 0.366070i −1.11803 + 0.0269140i
\(186\) −16.4686 15.9035i −1.20753 1.16610i
\(187\) 12.2597 + 3.51541i 0.896519 + 0.257073i
\(188\) −4.60507 18.4699i −0.335859 1.34706i
\(189\) −2.99506 + 2.17604i −0.217858 + 0.158283i
\(190\) 8.81095 + 24.2150i 0.639214 + 1.75674i
\(191\) 12.7884 + 9.29135i 0.925339 + 0.672298i 0.944847 0.327511i \(-0.106210\pi\)
−0.0195080 + 0.999810i \(0.506210\pi\)
\(192\) −11.2883 + 27.9395i −0.814662 + 2.01636i
\(193\) 12.0626 4.39041i 0.868282 0.316029i 0.130811 0.991407i \(-0.458242\pi\)
0.737471 + 0.675379i \(0.236020\pi\)
\(194\) −27.2546 + 14.4915i −1.95676 + 1.04043i
\(195\) −7.40021 + 24.7903i −0.529940 + 1.77527i
\(196\) −40.3949 + 51.7031i −2.88535 + 3.69308i
\(197\) −11.6318 + 2.47242i −0.828733 + 0.176153i −0.602701 0.797967i \(-0.705909\pi\)
−0.226032 + 0.974120i \(0.572575\pi\)
\(198\) 1.61933 + 15.4069i 0.115081 + 1.09492i
\(199\) −4.27226 + 3.58485i −0.302852 + 0.254123i −0.781530 0.623867i \(-0.785561\pi\)
0.478678 + 0.877990i \(0.341116\pi\)
\(200\) −18.0888 + 35.1336i −1.27907 + 2.48432i
\(201\) 5.84043 10.1159i 0.411952 0.713522i
\(202\) 23.8765 + 10.6305i 1.67994 + 0.747958i
\(203\) 0.855570 1.09508i 0.0600493 0.0768596i
\(204\) 60.4853 + 32.1606i 4.23482 + 2.25169i
\(205\) 11.3095 4.42736i 0.789889 0.309220i
\(206\) 14.4891 + 18.5452i 1.00950 + 1.29210i
\(207\) −4.85387 4.07288i −0.337368 0.283085i
\(208\) 16.4142 + 50.5176i 1.13812 + 3.50277i
\(209\) 9.54729 + 1.23733i 0.660400 + 0.0855876i
\(210\) 26.2860 57.3580i 1.81391 3.95808i
\(211\) 11.6871 + 0.817242i 0.804573 + 0.0562612i 0.466119 0.884722i \(-0.345652\pi\)
0.338454 + 0.940983i \(0.390096\pi\)
\(212\) −54.5570 15.6440i −3.74699 1.07443i
\(213\) −6.74001 + 13.8191i −0.461818 + 0.946868i
\(214\) −12.1773 24.9671i −0.832421 1.70672i
\(215\) 1.40608 + 2.71505i 0.0958941 + 0.185165i
\(216\) 0.681323 6.48236i 0.0463582 0.441069i
\(217\) 15.9919 + 3.39918i 1.08560 + 0.230751i
\(218\) 2.69393 2.26047i 0.182456 0.153099i
\(219\) −19.3286 12.0778i −1.30610 0.816144i
\(220\) 14.2667 + 20.0907i 0.961858 + 1.35452i
\(221\) 27.4860 5.84232i 1.84891 0.392997i
\(222\) −26.3262 + 33.6960i −1.76690 + 2.26153i
\(223\) −7.85567 16.1065i −0.526055 1.07857i −0.982055 0.188592i \(-0.939607\pi\)
0.456001 0.889979i \(-0.349281\pi\)
\(224\) −10.1735 57.6970i −0.679748 3.85504i
\(225\) −2.58619 + 13.0111i −0.172413 + 0.867409i
\(226\) 35.6393 + 29.9049i 2.37069 + 1.98925i
\(227\) −4.14146 + 3.00895i −0.274878 + 0.199711i −0.716680 0.697402i \(-0.754339\pi\)
0.441802 + 0.897113i \(0.354339\pi\)
\(228\) 48.7786 + 17.1627i 3.23044 + 1.13663i
\(229\) −3.28536 + 10.1113i −0.217103 + 0.668174i 0.781895 + 0.623411i \(0.214253\pi\)
−0.998998 + 0.0447637i \(0.985747\pi\)
\(230\) −13.8764 2.60216i −0.914983 0.171582i
\(231\) −14.5126 18.5753i −0.954861 1.22217i
\(232\) 0.424869 + 2.40955i 0.0278940 + 0.158195i
\(233\) 11.0072 1.54696i 0.721105 0.101345i 0.230932 0.972970i \(-0.425823\pi\)
0.490173 + 0.871625i \(0.336934\pi\)
\(234\) 19.0867 + 28.2971i 1.24773 + 1.84984i
\(235\) −7.34130 4.34526i −0.478893 0.283454i
\(236\) −2.48178 23.6126i −0.161550 1.53705i
\(237\) −11.9809 + 0.837783i −0.778240 + 0.0544199i
\(238\) −68.3628 + 4.78040i −4.43130 + 0.309867i
\(239\) 2.71331 + 25.8155i 0.175510 + 1.66986i 0.628091 + 0.778140i \(0.283837\pi\)
−0.452581 + 0.891723i \(0.649497\pi\)
\(240\) 23.0283 + 53.2689i 1.48647 + 3.43849i
\(241\) −6.41405 9.50923i −0.413166 0.612543i 0.563807 0.825906i \(-0.309336\pi\)
−0.976973 + 0.213363i \(0.931558\pi\)
\(242\) −16.0276 + 2.25253i −1.03029 + 0.144798i
\(243\) −3.66617 20.7919i −0.235185 1.33380i
\(244\) −7.34306 9.39868i −0.470091 0.601689i
\(245\) 3.77651 + 29.1612i 0.241273 + 1.86304i
\(246\) 10.5504 32.4707i 0.672667 2.07026i
\(247\) 19.8529 7.46840i 1.26321 0.475203i
\(248\) −23.2876 + 16.9194i −1.47876 + 1.07438i
\(249\) −14.0080 11.7541i −0.887723 0.744888i
\(250\) 9.20113 + 28.0895i 0.581931 + 1.77653i
\(251\) −4.13415 23.4459i −0.260945 1.47989i −0.780338 0.625359i \(-0.784953\pi\)
0.519392 0.854536i \(-0.326158\pi\)
\(252\) −26.0491 53.4085i −1.64094 3.36442i
\(253\) −3.24741 + 4.15650i −0.204163 + 0.261317i
\(254\) −21.9111 + 4.65736i −1.37483 + 0.292229i
\(255\) 29.2992 9.17002i 1.83479 0.574249i
\(256\) −4.89732 3.06019i −0.306083 0.191262i
\(257\) −2.66646 + 2.23743i −0.166329 + 0.139567i −0.722153 0.691733i \(-0.756847\pi\)
0.555824 + 0.831300i \(0.312403\pi\)
\(258\) 8.40731 + 1.78703i 0.523416 + 0.111256i
\(259\) 3.19194 30.3693i 0.198338 1.88706i
\(260\) 48.5353 + 24.3269i 3.01003 + 1.50869i
\(261\) 0.360060 + 0.738233i 0.0222872 + 0.0456955i
\(262\) −17.3577 + 35.5886i −1.07236 + 2.19867i
\(263\) −17.8986 5.13233i −1.10367 0.316473i −0.326144 0.945320i \(-0.605750\pi\)
−0.777529 + 0.628847i \(0.783527\pi\)
\(264\) 41.4015 + 2.89508i 2.54809 + 0.178180i
\(265\) −22.1644 + 12.4783i −1.36155 + 0.766536i
\(266\) −50.4805 + 11.2982i −3.09516 + 0.692737i
\(267\) −4.28628 13.1918i −0.262316 0.807326i
\(268\) −18.7774 15.7561i −1.14701 0.962458i
\(269\) −7.19605 9.21053i −0.438751 0.561576i 0.516912 0.856039i \(-0.327082\pi\)
−0.955663 + 0.294463i \(0.904859\pi\)
\(270\) −3.09321 3.76855i −0.188247 0.229347i
\(271\) −25.0325 13.3100i −1.52062 0.808527i −0.521616 0.853181i \(-0.674671\pi\)
−0.999003 + 0.0446535i \(0.985782\pi\)
\(272\) 38.8069 49.6706i 2.35301 3.01172i
\(273\) −47.4463 21.1245i −2.87158 1.27851i
\(274\) 10.3810 17.9804i 0.627138 1.08623i
\(275\) 10.8997 + 1.77357i 0.657278 + 0.106950i
\(276\) −21.7033 + 18.2112i −1.30639 + 1.09619i
\(277\) −1.28336 12.2104i −0.0771098 0.733651i −0.962954 0.269667i \(-0.913086\pi\)
0.885844 0.463984i \(-0.153580\pi\)
\(278\) −46.4157 + 9.86596i −2.78383 + 0.591721i
\(279\) −5.94917 + 7.61459i −0.356168 + 0.455874i
\(280\) −65.2826 45.0708i −3.90138 2.69349i
\(281\) 16.8101 8.93811i 1.00281 0.533203i 0.114975 0.993368i \(-0.463321\pi\)
0.887833 + 0.460166i \(0.152210\pi\)
\(282\) −22.5352 + 8.20213i −1.34195 + 0.488430i
\(283\) 1.05418 2.60919i 0.0626645 0.155100i −0.892603 0.450844i \(-0.851123\pi\)
0.955267 + 0.295744i \(0.0955675\pi\)
\(284\) 26.1026 + 18.9646i 1.54890 + 1.12534i
\(285\) 20.8299 10.1570i 1.23385 0.601648i
\(286\) 22.9872 16.7012i 1.35926 0.987564i
\(287\) 5.89840 + 23.6572i 0.348172 + 1.39644i
\(288\) 33.2861 + 9.54463i 1.96140 + 0.562423i
\(289\) −11.7579 11.3545i −0.691644 0.667913i
\(290\) 1.50606 + 1.03978i 0.0884389 + 0.0610577i
\(291\) 15.5235 + 23.0145i 0.910004 + 1.34914i
\(292\) −32.0035 + 35.5435i −1.87286 + 2.08002i
\(293\) 5.67117 9.82275i 0.331313 0.573851i −0.651457 0.758686i \(-0.725842\pi\)
0.982770 + 0.184835i \(0.0591751\pi\)
\(294\) 70.1001 + 43.8034i 4.08832 + 2.55467i
\(295\) −8.31334 6.64144i −0.484021 0.386680i
\(296\) 35.9752 + 39.9545i 2.09101 + 2.32231i
\(297\) −1.78169 + 0.378710i −0.103384 + 0.0219750i
\(298\) 19.1466 5.49021i 1.10913 0.318039i
\(299\) −2.01806 + 11.4450i −0.116707 + 0.661880i
\(300\) 55.2853 + 21.4904i 3.19190 + 1.24075i
\(301\) −5.76783 + 2.09932i −0.332452 + 0.121003i
\(302\) 44.0018 + 3.07690i 2.53202 + 0.177056i
\(303\) 7.26349 22.3547i 0.417277 1.28425i
\(304\) 23.3459 41.4588i 1.33898 2.37783i
\(305\) −5.30960 0.616314i −0.304027 0.0352901i
\(306\) 15.1731 37.5547i 0.867388 2.14686i
\(307\) 10.7127 3.89911i 0.611408 0.222534i −0.0177114 0.999843i \(-0.505638\pi\)
0.629119 + 0.777309i \(0.283416\pi\)
\(308\) −43.6764 + 23.2231i −2.48869 + 1.32326i
\(309\) 15.2249 14.7026i 0.866117 0.836399i
\(310\) −3.22743 + 21.2876i −0.183306 + 1.20906i
\(311\) 16.8305 + 7.49341i 0.954368 + 0.424912i 0.824023 0.566557i \(-0.191725\pi\)
0.130345 + 0.991469i \(0.458391\pi\)
\(312\) 83.5360 37.1926i 4.72930 2.10562i
\(313\) −4.44892 + 0.311099i −0.251468 + 0.0175843i −0.194934 0.980816i \(-0.562449\pi\)
−0.0565337 + 0.998401i \(0.518005\pi\)
\(314\) −11.8835 + 47.6621i −0.670624 + 2.68973i
\(315\) −25.2367 8.50338i −1.42193 0.479111i
\(316\) −2.63444 + 25.0651i −0.148199 + 1.41002i
\(317\) −0.0986862 + 2.82600i −0.00554277 + 0.158724i 0.993463 + 0.114151i \(0.0364149\pi\)
−0.999006 + 0.0445728i \(0.985807\pi\)
\(318\) −12.4163 + 70.4164i −0.696272 + 3.94876i
\(319\) 0.603711 0.320999i 0.0338013 0.0179725i
\(320\) 27.5705 6.55753i 1.54124 0.366577i
\(321\) −21.1861 + 13.2386i −1.18250 + 0.738905i
\(322\) 8.75828 26.9552i 0.488080 1.50216i
\(323\) −20.5213 14.5753i −1.14184 0.810992i
\(324\) −49.4967 −2.74981
\(325\) 23.0386 7.82412i 1.27795 0.434004i
\(326\) 30.0214 10.9269i 1.66273 0.605186i
\(327\) −2.27504 2.19698i −0.125810 0.121493i
\(328\) −37.9023 20.1530i −2.09280 1.11276i
\(329\) 10.5436 13.4952i 0.581290 0.744017i
\(330\) 23.2936 20.5209i 1.28227 1.12964i
\(331\) −27.4301 5.83044i −1.50769 0.320470i −0.621363 0.783523i \(-0.713421\pi\)
−0.886331 + 0.463053i \(0.846754\pi\)
\(332\) −29.3957 + 24.6660i −1.61330 + 1.35372i
\(333\) 15.3060 + 9.56422i 0.838761 + 0.524116i
\(334\) 1.43287 0.637955i 0.0784032 0.0349073i
\(335\) −10.9370 + 1.02981i −0.597552 + 0.0562643i
\(336\) −111.989 + 32.1123i −6.10949 + 1.75187i
\(337\) 16.1758 15.6208i 0.881153 0.850920i −0.108545 0.994092i \(-0.534619\pi\)
0.989698 + 0.143172i \(0.0457302\pi\)
\(338\) 12.3772 25.3770i 0.673231 1.38033i
\(339\) 23.3970 34.6875i 1.27075 1.88397i
\(340\) −8.27425 63.8916i −0.448734 3.46501i
\(341\) 6.50779 + 4.72818i 0.352416 + 0.256046i
\(342\) 7.07742 29.7439i 0.382703 1.60837i
\(343\) −27.6076 −1.49067
\(344\) 4.04831 10.0199i 0.218270 0.540237i
\(345\) −1.02293 + 12.6558i −0.0550729 + 0.681368i
\(346\) −12.4028 1.74310i −0.666780 0.0937097i
\(347\) 30.0206 + 15.9622i 1.61159 + 0.856896i 0.997720 + 0.0674874i \(0.0214983\pi\)
0.613868 + 0.789409i \(0.289613\pi\)
\(348\) 3.53030 1.01230i 0.189244 0.0542649i
\(349\) 2.37924 + 4.12097i 0.127358 + 0.220591i 0.922652 0.385633i \(-0.126017\pi\)
−0.795294 + 0.606224i \(0.792684\pi\)
\(350\) −58.2948 + 11.0760i −3.11599 + 0.592039i
\(351\) −3.07433 + 2.57967i −0.164095 + 0.137692i
\(352\) 6.97360 27.9696i 0.371694 1.49078i
\(353\) −7.75098 8.60833i −0.412543 0.458175i 0.500682 0.865631i \(-0.333083\pi\)
−0.913225 + 0.407456i \(0.866416\pi\)
\(354\) −29.2582 + 6.21902i −1.55506 + 0.330537i
\(355\) 14.2664 2.35641i 0.757182 0.125065i
\(356\) −28.8243 + 4.05099i −1.52768 + 0.214702i
\(357\) 10.7022 + 60.6952i 0.566420 + 3.21233i
\(358\) 4.21806 + 5.39888i 0.222932 + 0.285339i
\(359\) −0.115512 0.463294i −0.00609651 0.0244517i 0.967170 0.254129i \(-0.0817886\pi\)
−0.973267 + 0.229677i \(0.926233\pi\)
\(360\) 40.8573 23.0022i 2.15337 1.21232i
\(361\) −16.9638 8.55741i −0.892832 0.450390i
\(362\) −49.5384 35.9918i −2.60368 1.89169i
\(363\) 3.52139 + 14.1235i 0.184825 + 0.741293i
\(364\) −60.9454 + 90.3553i −3.19441 + 4.73591i
\(365\) 1.26338 + 21.3976i 0.0661282 + 1.12000i
\(366\) −10.8089 + 10.4381i −0.564992 + 0.545607i
\(367\) −0.351491 + 10.0654i −0.0183477 + 0.525408i 0.955071 + 0.296376i \(0.0957783\pi\)
−0.973419 + 0.229032i \(0.926444\pi\)
\(368\) 13.0345 + 22.5764i 0.679470 + 1.17688i
\(369\) −14.0956 2.99611i −0.733787 0.155971i
\(370\) 40.1729 + 1.83900i 2.08849 + 0.0956048i
\(371\) −19.1281 47.3437i −0.993082 2.45796i
\(372\) 28.9110 + 32.1089i 1.49896 + 1.66477i
\(373\) 23.8152 + 10.6032i 1.23310 + 0.549013i 0.916686 0.399607i \(-0.130854\pi\)
0.316417 + 0.948620i \(0.397520\pi\)
\(374\) −31.6844 11.5322i −1.63836 0.596315i
\(375\) 24.2586 10.8702i 1.25271 0.561335i
\(376\) 5.23589 + 29.6942i 0.270020 + 1.53136i
\(377\) 0.842411 1.24893i 0.0433864 0.0643229i
\(378\) 8.30021 5.18655i 0.426917 0.266767i
\(379\) −5.11386 + 15.7388i −0.262681 + 0.808450i 0.729537 + 0.683941i \(0.239736\pi\)
−0.992218 + 0.124509i \(0.960264\pi\)
\(380\) −13.4002 46.7484i −0.687413 2.39814i
\(381\) 6.22539 + 19.1598i 0.318936 + 0.981585i
\(382\) −32.0136 26.8626i −1.63796 1.37441i
\(383\) 1.13505 + 1.45280i 0.0579984 + 0.0742345i 0.816135 0.577861i \(-0.196112\pi\)
−0.758137 + 0.652095i \(0.773890\pi\)
\(384\) 7.71649 15.8211i 0.393781 0.807370i
\(385\) −6.34119 + 21.2427i −0.323177 + 1.08263i
\(386\) −32.6224 + 9.35434i −1.66044 + 0.476123i
\(387\) 0.379211 3.60795i 0.0192764 0.183402i
\(388\) 53.2188 23.6945i 2.70178 1.20291i
\(389\) 0.164527 0.659884i 0.00834187 0.0334574i −0.965981 0.258615i \(-0.916734\pi\)
0.974322 + 0.225157i \(0.0722896\pi\)
\(390\) 24.0885 64.0151i 1.21977 3.24153i
\(391\) 12.5987 5.60928i 0.637141 0.283674i
\(392\) 69.5431 77.2355i 3.51246 3.90098i
\(393\) 33.4626 + 12.1794i 1.68796 + 0.614369i
\(394\) 31.1327 4.37542i 1.56844 0.220430i
\(395\) 7.16610 + 8.73068i 0.360566 + 0.439288i
\(396\) −1.02035 29.2191i −0.0512746 1.46831i
\(397\) 0.129448 0.0808882i 0.00649682 0.00405966i −0.526667 0.850072i \(-0.676559\pi\)
0.533164 + 0.846012i \(0.321003\pi\)
\(398\) 11.9284 8.66649i 0.597917 0.434412i
\(399\) 14.8508 + 44.0883i 0.743468 + 2.20718i
\(400\) 28.3072 46.6634i 1.41536 2.33317i
\(401\) 3.72657 + 3.12697i 0.186096 + 0.156153i 0.731076 0.682296i \(-0.239018\pi\)
−0.544980 + 0.838449i \(0.683463\pi\)
\(402\) −17.2686 + 25.6018i −0.861280 + 1.27690i
\(403\) 17.5508 + 2.46660i 0.874267 + 0.122870i
\(404\) −43.5517 23.1569i −2.16678 1.15210i
\(405\) −15.5813 + 15.7888i −0.774239 + 0.784550i
\(406\) −2.45836 + 2.73029i −0.122006 + 0.135502i
\(407\) 7.51227 13.0116i 0.372369 0.644963i
\(408\) −92.0226 57.5021i −4.55580 2.84678i
\(409\) 17.9766 1.25705i 0.888885 0.0621569i 0.381992 0.924166i \(-0.375238\pi\)
0.506893 + 0.862009i \(0.330794\pi\)
\(410\) −30.6432 + 9.59065i −1.51336 + 0.473648i
\(411\) −17.0577 7.59460i −0.841397 0.374614i
\(412\) −24.8365 36.8216i −1.22361 1.81407i
\(413\) 15.3657 14.8384i 0.756095 0.730152i
\(414\) 12.0501 + 11.6366i 0.592229 + 0.571909i
\(415\) −1.38550 + 17.1415i −0.0680115 + 0.841445i
\(416\) −15.3647 61.6246i −0.753319 3.02140i
\(417\) 13.1876 + 40.5873i 0.645800 + 1.98757i
\(418\) −24.9510 5.02392i −1.22039 0.245728i
\(419\) −1.47602 4.54273i −0.0721085 0.221927i 0.908507 0.417870i \(-0.137223\pi\)
−0.980615 + 0.195943i \(0.937223\pi\)
\(420\) −57.0386 + 104.525i −2.78320 + 5.10030i
\(421\) −0.469669 13.4496i −0.0228903 0.655492i −0.955566 0.294776i \(-0.904755\pi\)
0.932676 0.360715i \(-0.117467\pi\)
\(422\) −30.6718 4.31065i −1.49308 0.209839i
\(423\) 4.43721 + 9.09763i 0.215745 + 0.442342i
\(424\) 84.4799 + 30.7482i 4.10271 + 1.49326i
\(425\) −22.9852 17.4733i −1.11495 0.847580i
\(426\) 20.3240 35.2023i 0.984703 1.70556i
\(427\) 2.59596 10.4118i 0.125627 0.503864i
\(428\) 19.6388 + 48.6076i 0.949275 + 2.34954i
\(429\) −17.0987 18.9901i −0.825534 0.916849i
\(430\) −3.20758 7.41974i −0.154683 0.357812i
\(431\) −0.671152 + 19.2193i −0.0323283 + 0.925760i 0.869570 + 0.493810i \(0.164396\pi\)
−0.901898 + 0.431949i \(0.857826\pi\)
\(432\) −1.56324 + 8.86560i −0.0752116 + 0.426546i
\(433\) 22.0392 11.7184i 1.05914 0.563153i 0.153911 0.988085i \(-0.450813\pi\)
0.905225 + 0.424932i \(0.139702\pi\)
\(434\) −41.5488 11.9139i −1.99440 0.571886i
\(435\) 0.788409 1.44478i 0.0378013 0.0692721i
\(436\) −5.36933 + 3.90105i −0.257144 + 0.186826i
\(437\) 8.76843 5.61102i 0.419451 0.268411i
\(438\) 48.7482 + 35.4176i 2.32928 + 1.69232i
\(439\) 33.5622 + 2.34689i 1.60183 + 0.112011i 0.842503 0.538692i \(-0.181081\pi\)
0.759332 + 0.650703i \(0.225526\pi\)
\(440\) −20.3236 33.3229i −0.968890 1.58861i
\(441\) 15.2944 31.3582i 0.728306 1.49325i
\(442\) −73.5666 + 10.3391i −3.49920 + 0.491781i
\(443\) −29.2048 10.6297i −1.38756 0.505032i −0.463101 0.886305i \(-0.653263\pi\)
−0.924462 + 0.381273i \(0.875486\pi\)
\(444\) 53.9993 59.9723i 2.56269 2.84616i
\(445\) −7.78150 + 10.4698i −0.368878 + 0.496315i
\(446\) 17.7475 + 43.9267i 0.840370 + 2.07999i
\(447\) −6.71042 16.6089i −0.317392 0.785573i
\(448\) 5.94679 + 56.5799i 0.280959 + 2.67315i
\(449\) 7.55677 + 13.0887i 0.356626 + 0.617694i 0.987395 0.158277i \(-0.0505938\pi\)
−0.630769 + 0.775971i \(0.717260\pi\)
\(450\) 9.22009 33.8375i 0.434639 1.59512i
\(451\) −2.08310 + 11.8138i −0.0980893 + 0.556292i
\(452\) −63.1597 60.9926i −2.97078 2.86885i
\(453\) −1.38443 39.6450i −0.0650463 1.86268i
\(454\) 11.4772 7.17178i 0.538654 0.336588i
\(455\) 9.63686 + 47.8841i 0.451783 + 2.24484i
\(456\) −75.1814 32.5095i −3.52069 1.52240i
\(457\) −3.78367 −0.176993 −0.0884963 0.996077i \(-0.528206\pi\)
−0.0884963 + 0.996077i \(0.528206\pi\)
\(458\) 10.5293 26.0608i 0.492000 1.21774i
\(459\) 4.57792 + 1.31270i 0.213679 + 0.0612714i
\(460\) 25.7819 + 6.72579i 1.20209 + 0.313591i
\(461\) 14.6025 + 29.9395i 0.680104 + 1.39442i 0.907264 + 0.420563i \(0.138167\pi\)
−0.227159 + 0.973858i \(0.572944\pi\)
\(462\) 34.8488 + 51.6654i 1.62131 + 2.40369i
\(463\) −1.21732 + 11.5821i −0.0565738 + 0.538264i 0.929127 + 0.369760i \(0.120560\pi\)
−0.985701 + 0.168504i \(0.946107\pi\)
\(464\) −0.353230 3.36076i −0.0163983 0.156019i
\(465\) 19.3433 + 0.885480i 0.897024 + 0.0410631i
\(466\) −29.3147 + 2.04988i −1.35798 + 0.0949590i
\(467\) 5.47131 + 1.16296i 0.253182 + 0.0538155i 0.332754 0.943014i \(-0.392022\pi\)
−0.0795721 + 0.996829i \(0.525355\pi\)
\(468\) −32.2084 55.7865i −1.48883 2.57873i
\(469\) 0.769642 22.0397i 0.0355388 1.01770i
\(470\) 18.5600 + 12.8137i 0.856107 + 0.591052i
\(471\) 43.7467 + 6.14819i 2.01574 + 0.283294i
\(472\) 1.31252 + 37.5858i 0.0604138 + 1.73003i
\(473\) −3.01265 0.210665i −0.138522 0.00968637i
\(474\) 31.7518 1.45841
\(475\) −19.1304 10.4417i −0.877763 0.479096i
\(476\) 129.333 5.92798
\(477\) 30.1062 + 2.10523i 1.37847 + 0.0963920i
\(478\) −2.39500 68.5839i −0.109545 3.13695i
\(479\) 7.26334 + 1.02080i 0.331871 + 0.0466414i 0.303141 0.952946i \(-0.401965\pi\)
0.0287300 + 0.999587i \(0.490854\pi\)
\(480\) −23.0244 65.4579i −1.05091 2.98773i
\(481\) 1.15528 33.0830i 0.0526764 1.50845i
\(482\) 15.1622 + 26.2617i 0.690619 + 1.19619i
\(483\) −24.9324 5.29955i −1.13446 0.241138i
\(484\) 30.4710 2.13074i 1.38505 0.0968519i
\(485\) 9.19473 24.4350i 0.417511 1.10954i
\(486\) 5.83442 + 55.5108i 0.264655 + 2.51802i
\(487\) 1.43973 13.6981i 0.0652404 0.620721i −0.912234 0.409669i \(-0.865644\pi\)
0.977475 0.211052i \(-0.0676890\pi\)
\(488\) 10.5647 + 15.6628i 0.478240 + 0.709020i
\(489\) −12.5954 25.8243i −0.569583 1.16782i
\(490\) −4.58197 77.6038i −0.206992 3.50578i
\(491\) −10.0571 2.88382i −0.453870 0.130145i 0.0409109 0.999163i \(-0.486974\pi\)
−0.494781 + 0.869018i \(0.664752\pi\)
\(492\) −24.1375 + 59.7423i −1.08820 + 2.69339i
\(493\) −1.78769 −0.0805136
\(494\) −53.7356 + 16.0353i −2.41768 + 0.721461i
\(495\) −9.64168 8.87250i −0.433361 0.398789i
\(496\) 33.7151 21.0675i 1.51385 0.945961i
\(497\) 1.01306 + 29.0101i 0.0454417 + 1.30128i
\(498\) 34.7759 + 33.5827i 1.55835 + 1.50488i
\(499\) −4.73735 + 26.8669i −0.212073 + 1.20273i 0.673841 + 0.738877i \(0.264643\pi\)
−0.885914 + 0.463850i \(0.846468\pi\)
\(500\) −13.6247 54.0942i −0.609313 2.41917i
\(501\) −0.705294 1.22160i −0.0315102 0.0545773i
\(502\) 6.57918 + 62.5967i 0.293643 + 2.79383i
\(503\) 5.68372 + 14.0677i 0.253424 + 0.627247i 0.999243 0.0389016i \(-0.0123859\pi\)
−0.745819 + 0.666149i \(0.767941\pi\)
\(504\) 35.2602 + 87.2721i 1.57062 + 3.88741i
\(505\) −21.0965 + 6.60276i −0.938784 + 0.293819i
\(506\) 9.33099 10.3631i 0.414813 0.460697i
\(507\) −23.8611 8.68471i −1.05971 0.385702i
\(508\) 41.8643 5.88365i 1.85743 0.261045i
\(509\) −16.4662 + 33.7607i −0.729851 + 1.49642i 0.133087 + 0.991104i \(0.457511\pi\)
−0.862937 + 0.505311i \(0.831378\pi\)
\(510\) −78.9623 + 18.7809i −3.49651 + 0.831632i
\(511\) −42.9255 3.00164i −1.89891 0.132785i
\(512\) 24.3304 + 17.6771i 1.07526 + 0.781225i
\(513\) 3.56507 + 0.462032i 0.157402 + 0.0203992i
\(514\) 7.44492 5.40905i 0.328381 0.238583i
\(515\) −19.5640 3.66872i −0.862092 0.161663i
\(516\) −15.5928 4.47117i −0.686436 0.196832i
\(517\) 7.43985 3.95584i 0.327204 0.173978i
\(518\) −14.0188 + 79.5048i −0.615953 + 3.49324i
\(519\) −0.393106 + 11.2571i −0.0172555 + 0.494132i
\(520\) −74.0053 43.8032i −3.24535 1.92090i
\(521\) −17.9392 19.9235i −0.785932 0.872866i 0.208524 0.978017i \(-0.433134\pi\)
−0.994456 + 0.105151i \(0.966467\pi\)
\(522\) −0.813448 2.01335i −0.0356036 0.0881221i
\(523\) 1.33462 5.35288i 0.0583590 0.234065i −0.934032 0.357188i \(-0.883735\pi\)
0.992391 + 0.123123i \(0.0392910\pi\)
\(524\) 37.3638 64.7160i 1.63224 2.82713i
\(525\) 15.3866 + 51.0984i 0.671528 + 2.23012i
\(526\) 46.2577 + 16.8364i 2.01693 + 0.734103i
\(527\) −9.21968 18.9032i −0.401616 0.823434i
\(528\) −56.7631 7.97753i −2.47030 0.347178i
\(529\) −0.603635 17.2858i −0.0262450 0.751558i
\(530\) 60.7558 28.8217i 2.63906 1.25193i
\(531\) 3.90138 + 12.0072i 0.169306 + 0.521069i
\(532\) 96.5250 14.6250i 4.18489 0.634073i
\(533\) 8.16752 + 25.1370i 0.353775 + 1.08881i
\(534\) 8.87145 + 35.5814i 0.383905 + 1.53976i
\(535\) 21.6873 + 9.03690i 0.937625 + 0.390699i
\(536\) 27.9303 + 26.9719i 1.20640 + 1.16501i
\(537\) 4.43230 4.28022i 0.191268 0.184705i
\(538\) 17.2797 + 25.6182i 0.744979 + 1.10448i
\(539\) −26.5328 11.8132i −1.14285 0.508829i
\(540\) 5.32733 + 7.50211i 0.229252 + 0.322839i
\(541\) 1.76528 0.123440i 0.0758953 0.00530711i −0.0317584 0.999496i \(-0.510111\pi\)
0.107654 + 0.994188i \(0.465666\pi\)
\(542\) 63.5640 + 39.7192i 2.73031 + 1.70609i
\(543\) −27.5346 + 47.6913i −1.18162 + 2.04663i
\(544\) −50.4303 + 56.0085i −2.16218 + 2.40134i
\(545\) −0.445852 + 2.94077i −0.0190982 + 0.125969i
\(546\) 121.235 + 64.4619i 5.18839 + 2.75871i
\(547\) −29.5435 4.15207i −1.26319 0.177530i −0.524403 0.851470i \(-0.675712\pi\)
−0.738786 + 0.673940i \(0.764600\pi\)
\(548\) −21.9109 + 32.4843i −0.935988 + 1.38766i
\(549\) 4.85843 + 4.07671i 0.207353 + 0.173990i
\(550\) −28.4189 6.68758i −1.21179 0.285160i
\(551\) −1.33420 + 0.202152i −0.0568390 + 0.00861196i
\(552\) 36.3069 26.3785i 1.54532 1.12274i
\(553\) −19.2293 + 12.0158i −0.817712 + 0.510963i
\(554\) 1.13281 + 32.4393i 0.0481283 + 1.37821i
\(555\) −2.13169 36.1040i −0.0904852 1.53253i
\(556\) 88.6837 12.4637i 3.76103 0.528578i
\(557\) −11.8393 4.30914i −0.501646 0.182584i 0.0787883 0.996891i \(-0.474895\pi\)
−0.580434 + 0.814307i \(0.697117\pi\)
\(558\) 17.0941 18.9849i 0.723652 0.803697i
\(559\) −6.07863 + 2.70638i −0.257098 + 0.114468i
\(560\) 85.6025 + 68.3870i 3.61737 + 2.88988i
\(561\) −7.33598 + 29.4230i −0.309725 + 1.24224i
\(562\) −45.9820 + 20.4725i −1.93963 + 0.863580i
\(563\) −0.170485 + 1.62206i −0.00718509 + 0.0683616i −0.997527 0.0702859i \(-0.977609\pi\)
0.990342 + 0.138648i \(0.0442755\pi\)
\(564\) 43.5058 12.4751i 1.83192 0.525296i
\(565\) −39.3381 + 0.946973i −1.65497 + 0.0398395i
\(566\) −3.26139 + 6.68684i −0.137086 + 0.281069i
\(567\) −27.4161 35.0910i −1.15137 1.47368i
\(568\) −39.1507 32.8513i −1.64273 1.37841i
\(569\) −1.44168 4.43703i −0.0604382 0.186010i 0.916279 0.400541i \(-0.131178\pi\)
−0.976717 + 0.214531i \(0.931178\pi\)
\(570\) −56.8080 + 22.9458i −2.37943 + 0.961092i
\(571\) −10.5119 + 32.3524i −0.439911 + 1.35391i 0.448058 + 0.894004i \(0.352116\pi\)
−0.887969 + 0.459903i \(0.847884\pi\)
\(572\) −45.4758 + 28.4164i −1.90144 + 1.18815i
\(573\) −21.0168 + 31.1587i −0.877989 + 1.30167i
\(574\) −11.1931 63.4793i −0.467191 2.64957i
\(575\) 10.2614 6.10685i 0.427931 0.254673i
\(576\) −31.5975 11.5006i −1.31656 0.479190i
\(577\) 23.8768 + 10.6306i 0.994003 + 0.442559i 0.838279 0.545242i \(-0.183562\pi\)
0.155724 + 0.987801i \(0.450229\pi\)
\(578\) 28.9154 + 32.1138i 1.20272 + 1.33576i
\(579\) 11.4334 + 28.2985i 0.475154 + 1.17605i
\(580\) −2.69851 2.15581i −0.112050 0.0895152i
\(581\) −33.7694 7.17790i −1.40099 0.297789i
\(582\) −36.6960 63.5594i −1.52110 2.63462i
\(583\) 0.876791 25.1080i 0.0363130 1.03987i
\(584\) 54.4979 52.6280i 2.25514 2.17776i
\(585\) −27.9342 7.28724i −1.15493 0.301290i
\(586\) −16.7681 + 24.8598i −0.692686 + 1.02695i
\(587\) −3.66129 14.6846i −0.151118 0.606100i −0.997315 0.0732302i \(-0.976669\pi\)
0.846197 0.532870i \(-0.178886\pi\)
\(588\) −126.208 91.6954i −5.20472 3.78145i
\(589\) −9.01847 13.0654i −0.371600 0.538350i
\(590\) 20.7001 + 19.0487i 0.852209 + 0.784223i
\(591\) −6.84011 27.4342i −0.281364 1.12849i
\(592\) −45.7164 58.5143i −1.87893 2.40492i
\(593\) 3.53564 + 20.0516i 0.145191 + 0.823420i 0.967213 + 0.253965i \(0.0817347\pi\)
−0.822022 + 0.569455i \(0.807154\pi\)
\(594\) 4.76872 0.670200i 0.195663 0.0274986i
\(595\) 40.7133 41.2555i 1.66908 1.69131i
\(596\) −36.7693 + 7.81556i −1.50613 + 0.320138i
\(597\) −8.87276 9.85420i −0.363138 0.403306i
\(598\) 7.43293 29.8118i 0.303955 1.21910i
\(599\) −10.0215 + 8.40905i −0.409468 + 0.343585i −0.824140 0.566387i \(-0.808341\pi\)
0.414672 + 0.909971i \(0.363896\pi\)
\(600\) −84.9848 40.0669i −3.46949 1.63573i
\(601\) 9.75762 + 16.9007i 0.398022 + 0.689394i 0.993482 0.113991i \(-0.0363635\pi\)
−0.595460 + 0.803385i \(0.703030\pi\)
\(602\) 15.5987 4.47287i 0.635757 0.182300i
\(603\) 11.5086 + 6.11925i 0.468668 + 0.249195i
\(604\) −82.4352 11.5855i −3.35424 0.471408i
\(605\) 8.91242 10.3906i 0.362341 0.422437i
\(606\) −23.2788 + 57.6169i −0.945635 + 2.34053i
\(607\) 4.20512 0.170681 0.0853403 0.996352i \(-0.472802\pi\)
0.0853403 + 0.996352i \(0.472802\pi\)
\(608\) −31.3041 + 47.5034i −1.26955 + 1.92652i
\(609\) 2.67311 + 1.94212i 0.108320 + 0.0786989i
\(610\) 13.8894 + 2.60461i 0.562367 + 0.105457i
\(611\) 10.3815 15.3912i 0.419989 0.622660i
\(612\) −33.5097 + 68.7052i −1.35455 + 2.77724i
\(613\) −5.68871 + 5.49353i −0.229765 + 0.221881i −0.800625 0.599166i \(-0.795499\pi\)
0.570860 + 0.821048i \(0.306610\pi\)
\(614\) −28.9719 + 8.30756i −1.16921 + 0.335266i
\(615\) 11.4587 + 26.5060i 0.462057 + 1.06883i
\(616\) 71.5815 31.8701i 2.88410 1.28408i
\(617\) 20.8085 + 13.0026i 0.837719 + 0.523465i 0.879631 0.475656i \(-0.157789\pi\)
−0.0419120 + 0.999121i \(0.513345\pi\)
\(618\) −42.8644 + 35.9675i −1.72426 + 1.44683i
\(619\) 21.4930 + 4.56848i 0.863877 + 0.183623i 0.618480 0.785800i \(-0.287749\pi\)
0.245396 + 0.969423i \(0.421082\pi\)
\(620\) 8.87863 39.6524i 0.356574 1.59248i
\(621\) −1.21262 + 1.55208i −0.0486608 + 0.0622830i
\(622\) −43.0053 22.8663i −1.72436 0.916856i
\(623\) −18.8377 18.1913i −0.754716 0.728821i
\(624\) −118.677 + 43.1950i −4.75089 + 1.72918i
\(625\) −21.5443 12.6824i −0.861771 0.507298i
\(626\) 11.7906 0.471246
\(627\) −2.14790 + 22.7888i −0.0857788 + 0.910096i
\(628\) 28.6472 88.1669i 1.14315 3.51824i
\(629\) −33.3135 + 20.8166i −1.32830 + 0.830011i
\(630\) 64.9889 + 27.0802i 2.58922 + 1.07890i
\(631\) 15.0894 8.02318i 0.600700 0.319398i −0.141125 0.989992i \(-0.545072\pi\)
0.741824 + 0.670594i \(0.233961\pi\)
\(632\) 6.93240 39.3156i 0.275756 1.56389i
\(633\) −0.972142 + 27.8385i −0.0386392 + 1.10648i
\(634\) 0.781435 7.43486i 0.0310347 0.295276i
\(635\) 11.3018 15.2063i 0.448500 0.603443i
\(636\) 32.6459 130.935i 1.29449 5.19193i
\(637\) −63.8354 + 4.46380i −2.52925 + 0.176862i
\(638\) −1.65137 + 0.735239i −0.0653785 + 0.0291084i
\(639\) −15.6734 6.97825i −0.620030 0.276055i
\(640\) −16.3333 + 2.69781i −0.645630 + 0.106640i
\(641\) 17.2417 16.6502i 0.681008 0.657642i −0.271400 0.962467i \(-0.587487\pi\)
0.952408 + 0.304825i \(0.0985979\pi\)
\(642\) 58.3160 31.0072i 2.30155 1.22375i
\(643\) 1.47934 0.538436i 0.0583395 0.0212338i −0.312686 0.949857i \(-0.601229\pi\)
0.371025 + 0.928623i \(0.379006\pi\)
\(644\) −20.0374 + 49.5944i −0.789586 + 1.95429i
\(645\) −6.33477 + 3.56640i −0.249431 + 0.140427i
\(646\) 51.4332 + 42.2242i 2.02361 + 1.66129i
\(647\) 10.9544 33.7143i 0.430664 1.32545i −0.466802 0.884362i \(-0.654594\pi\)
0.897465 0.441085i \(-0.145406\pi\)
\(648\) 78.2124 + 5.46915i 3.07247 + 0.214848i
\(649\) 9.87605 3.59459i 0.387669 0.141100i
\(650\) −62.2029 + 16.3859i −2.43980 + 0.642709i
\(651\) −6.75010 + 38.2817i −0.264557 + 1.50038i
\(652\) −57.9586 + 16.6194i −2.26983 + 0.650864i
\(653\) 24.9734 5.30826i 0.977285 0.207728i 0.308533 0.951214i \(-0.400162\pi\)
0.668752 + 0.743485i \(0.266829\pi\)
\(654\) 5.59484 + 6.21370i 0.218776 + 0.242975i
\(655\) −8.88162 32.2907i −0.347033 1.26170i
\(656\) 50.2793 + 31.4180i 1.96307 + 1.22667i
\(657\) 12.7164 22.0254i 0.496114 0.859294i
\(658\) −30.2957 + 33.6468i −1.18105 + 1.31169i
\(659\) −3.13713 4.65099i −0.122205 0.181177i 0.762971 0.646433i \(-0.223740\pi\)
−0.885176 + 0.465256i \(0.845962\pi\)
\(660\) −46.5554 + 35.5673i −1.81217 + 1.38445i
\(661\) −12.2676 11.8467i −0.477156 0.460784i 0.416761 0.909016i \(-0.363165\pi\)
−0.893917 + 0.448232i \(0.852054\pi\)
\(662\) 71.2665 + 20.4353i 2.76985 + 0.794242i
\(663\) 16.1632 + 64.8269i 0.627725 + 2.51767i
\(664\) 49.1753 35.7280i 1.90837 1.38651i
\(665\) 25.7203 35.3940i 0.997391 1.37252i
\(666\) −38.6028 28.0466i −1.49583 1.08678i
\(667\) 0.276965 0.685513i 0.0107241 0.0265432i
\(668\) −2.78159 + 1.01242i −0.107623 + 0.0391715i
\(669\) 37.6202 20.0030i 1.45448 0.773361i
\(670\) 29.0342 0.698932i 1.12169 0.0270021i
\(671\) 3.25046 4.16040i 0.125483 0.160611i
\(672\) 136.254 28.9618i 5.25613 1.11722i
\(673\) −0.970086 9.22976i −0.0373941 0.355781i −0.997180 0.0750478i \(-0.976089\pi\)
0.959786 0.280733i \(-0.0905776\pi\)
\(674\) −45.5415 + 38.2139i −1.75419 + 1.47194i
\(675\) 4.07008 + 0.662272i 0.156658 + 0.0254909i
\(676\) −26.6429 + 46.1468i −1.02473 + 1.77488i
\(677\) 13.3140 + 5.92779i 0.511700 + 0.227823i 0.646310 0.763075i \(-0.276311\pi\)
−0.134610 + 0.990899i \(0.542978\pi\)
\(678\) −68.1023 + 87.1670i −2.61545 + 3.34763i
\(679\) 46.2762 + 24.6055i 1.77592 + 0.944273i
\(680\) 6.01489 + 101.873i 0.230660 + 3.90665i
\(681\) −7.49346 9.59119i −0.287150 0.367535i
\(682\) −16.2911 13.6699i −0.623819 0.523446i
\(683\) 10.4457 + 32.1485i 0.399693 + 1.23013i 0.925246 + 0.379368i \(0.123859\pi\)
−0.525553 + 0.850761i \(0.676141\pi\)
\(684\) −17.2401 + 55.0659i −0.659191 + 2.10550i
\(685\) 3.46461 + 17.2151i 0.132376 + 0.657756i
\(686\) 72.8100 + 5.09137i 2.77990 + 0.194390i
\(687\) −24.2989 6.96761i −0.927063 0.265831i
\(688\) −6.54301 + 13.4152i −0.249450 + 0.511448i
\(689\) −24.2654 49.7514i −0.924437 1.89538i
\(690\) 5.03178 33.1888i 0.191557 1.26348i
\(691\) −0.274386 + 2.61061i −0.0104381 + 0.0993123i −0.998501 0.0547419i \(-0.982566\pi\)
0.988062 + 0.154054i \(0.0492331\pi\)
\(692\) 23.1208 + 4.91447i 0.878920 + 0.186820i
\(693\) 20.1499 16.9078i 0.765431 0.642273i
\(694\) −76.2299 47.6337i −2.89365 1.80815i
\(695\) 23.9414 32.2124i 0.908147 1.22189i
\(696\) −5.69028 + 1.20951i −0.215690 + 0.0458463i
\(697\) 19.3099 24.7155i 0.731415 0.936168i
\(698\) −5.51483 11.3071i −0.208739 0.427979i
\(699\) 4.58921 + 26.0267i 0.173580 + 0.984421i
\(700\) 111.207 13.1780i 4.20324 0.498081i
\(701\) −29.8481 25.0456i −1.12735 0.945958i −0.128397 0.991723i \(-0.540983\pi\)
−0.998952 + 0.0457650i \(0.985427\pi\)
\(702\) 8.58370 6.23643i 0.323971 0.235379i
\(703\) −22.5088 + 19.3031i −0.848937 + 0.728029i
\(704\) −8.64989 + 26.6216i −0.326005 + 1.00334i
\(705\) 9.71598 17.8048i 0.365925 0.670569i
\(706\) 18.8542 + 24.1323i 0.709588 + 0.908231i
\(707\) −7.70599 43.7029i −0.289814 1.64361i
\(708\) 55.9019 7.85650i 2.10092 0.295265i
\(709\) 16.9264 + 25.0943i 0.635683 + 0.942438i 0.999938 + 0.0111390i \(0.00354573\pi\)
−0.364255 + 0.931299i \(0.618676\pi\)
\(710\) −38.0596 + 3.58361i −1.42835 + 0.134491i
\(711\) −1.40086 13.3283i −0.0525365 0.499852i
\(712\) 45.9944 3.21625i 1.72371 0.120534i
\(713\) 8.67705 0.606758i 0.324958 0.0227233i
\(714\) −17.0317 162.046i −0.637396 6.06442i
\(715\) −5.25106 + 23.4515i −0.196378 + 0.877036i
\(716\) −7.23042 10.7195i −0.270213 0.400608i
\(717\) −61.1171 + 8.58945i −2.28246 + 0.320779i
\(718\) 0.219202 + 1.24316i 0.00818054 + 0.0463942i
\(719\) 27.2185 + 34.8381i 1.01508 + 1.29924i 0.953582 + 0.301133i \(0.0973649\pi\)
0.0614959 + 0.998107i \(0.480413\pi\)
\(720\) −58.5083 + 27.7555i −2.18047 + 1.03439i
\(721\) 12.3481 38.0035i 0.459866 1.41532i
\(722\) 43.1607 + 25.6970i 1.60628 + 0.956345i
\(723\) 22.0634 16.0300i 0.820548 0.596163i
\(724\) 88.5257 + 74.2819i 3.29003 + 2.76066i
\(725\) −1.53715 + 0.182151i −0.0570883 + 0.00676492i
\(726\) −6.68237 37.8976i −0.248006 1.40651i
\(727\) −0.300031 0.615155i −0.0111275 0.0228148i 0.893158 0.449743i \(-0.148485\pi\)
−0.904285 + 0.426928i \(0.859596\pi\)
\(728\) 106.287 136.041i 3.93926 5.04203i
\(729\) 19.9906 4.24913i 0.740392 0.157375i
\(730\) 0.614192 56.6651i 0.0227322 2.09727i
\(731\) 6.69616 + 4.18423i 0.247667 + 0.154759i
\(732\) 21.7237 18.2283i 0.802930 0.673739i
\(733\) −48.5824 10.3265i −1.79443 0.381418i −0.814406 0.580295i \(-0.802937\pi\)
−0.980024 + 0.198877i \(0.936270\pi\)
\(734\) 2.78324 26.4807i 0.102731 0.977422i
\(735\) −68.9791 + 11.3934i −2.54433 + 0.420253i
\(736\) −13.6641 28.0155i −0.503664 1.03266i
\(737\) 4.75655 9.75237i 0.175210 0.359233i
\(738\) 36.6220 + 10.5012i 1.34807 + 0.386554i
\(739\) −35.8366 2.50594i −1.31827 0.0921826i −0.606776 0.794873i \(-0.707538\pi\)
−0.711496 + 0.702690i \(0.751982\pi\)
\(740\) −75.3896 8.75089i −2.77138 0.321689i
\(741\) 19.3936 + 46.5544i 0.712443 + 1.71022i
\(742\) 41.7157 + 128.388i 1.53143 + 4.71327i
\(743\) 23.7164 + 19.9004i 0.870070 + 0.730076i 0.964113 0.265493i \(-0.0855346\pi\)
−0.0940426 + 0.995568i \(0.529979\pi\)
\(744\) −42.1360 53.9316i −1.54478 1.97723i
\(745\) −9.08171 + 14.1892i −0.332728 + 0.519852i
\(746\) −60.8527 32.3559i −2.22798 1.18464i
\(747\) 12.5626 16.0794i 0.459642 0.588314i
\(748\) 58.1327 + 25.8823i 2.12554 + 0.946352i
\(749\) −23.5829 + 40.8467i −0.861699 + 1.49251i
\(750\) −65.9823 + 24.1944i −2.40933 + 0.883454i
\(751\) 6.77395 5.68402i 0.247185 0.207413i −0.510774 0.859715i \(-0.670641\pi\)
0.757959 + 0.652302i \(0.226197\pi\)
\(752\) −4.35304 41.4164i −0.158739 1.51030i
\(753\) 55.3688 11.7690i 2.01775 0.428886i
\(754\) −2.45203 + 3.13845i −0.0892976 + 0.114296i
\(755\) −29.6457 + 22.6486i −1.07892 + 0.824269i
\(756\) −16.3093 + 8.67179i −0.593162 + 0.315390i
\(757\) −16.3089 + 5.93596i −0.592758 + 0.215746i −0.620942 0.783857i \(-0.713250\pi\)
0.0281841 + 0.999603i \(0.491028\pi\)
\(758\) 16.3894 40.5652i 0.595290 1.47339i
\(759\) −10.1461 7.37155i −0.368279 0.267570i
\(760\) 16.0089 + 75.3504i 0.580702 + 2.73325i
\(761\) −23.2752 + 16.9104i −0.843725 + 0.613002i −0.923409 0.383818i \(-0.874609\pi\)
0.0796834 + 0.996820i \(0.474609\pi\)
\(762\) −12.8849 51.6784i −0.466770 1.87211i
\(763\) −5.73974 1.64584i −0.207793 0.0595836i
\(764\) 56.7343 + 54.7877i 2.05258 + 1.98215i
\(765\) 11.3673 + 32.3171i 0.410987 + 1.16843i
\(766\) −2.72556 4.04081i −0.0984786 0.146000i
\(767\) 15.4945 17.2083i 0.559472 0.621357i
\(768\) 6.86520 11.8909i 0.247726 0.429075i
\(769\) −20.3924 12.7426i −0.735370 0.459510i 0.109837 0.993950i \(-0.464967\pi\)
−0.845207 + 0.534440i \(0.820523\pi\)
\(770\) 20.6413 54.8542i 0.743860 1.97681i
\(771\) −5.53779 6.15034i −0.199439 0.221499i
\(772\) 62.6484 13.3163i 2.25476 0.479265i
\(773\) 11.8270 3.39134i