Properties

Label 400.2.bm.a.227.50
Level $400$
Weight $2$
Character 400.227
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bm (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 227.50
Character \(\chi\) \(=\) 400.227
Dual form 400.2.bm.a.363.50

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32306 - 0.499525i) q^{2} +(-2.67086 - 0.867815i) q^{3} +(1.50095 - 1.32180i) q^{4} +(2.16115 + 0.573972i) q^{5} +(-3.96719 + 0.185994i) q^{6} +(3.07706 + 3.07706i) q^{7} +(1.32557 - 2.49857i) q^{8} +(3.95334 + 2.87227i) q^{9} +O(q^{10})\) \(q+(1.32306 - 0.499525i) q^{2} +(-2.67086 - 0.867815i) q^{3} +(1.50095 - 1.32180i) q^{4} +(2.16115 + 0.573972i) q^{5} +(-3.96719 + 0.185994i) q^{6} +(3.07706 + 3.07706i) q^{7} +(1.32557 - 2.49857i) q^{8} +(3.95334 + 2.87227i) q^{9} +(3.14603 - 0.320150i) q^{10} +(-2.14769 - 0.340160i) q^{11} +(-5.15590 + 2.22779i) q^{12} +(0.756417 + 0.549569i) q^{13} +(5.60818 + 2.53405i) q^{14} +(-5.27402 - 3.40847i) q^{15} +(0.505700 - 3.96790i) q^{16} +(2.82182 - 5.53813i) q^{17} +(6.66525 + 1.82538i) q^{18} +(-2.30884 + 4.53136i) q^{19} +(4.00245 - 1.99510i) q^{20} +(-5.54807 - 10.8887i) q^{21} +(-3.01143 + 0.622773i) q^{22} +(1.10051 - 6.94835i) q^{23} +(-5.70871 + 5.52299i) q^{24} +(4.34111 + 2.48088i) q^{25} +(1.27530 + 0.349261i) q^{26} +(-3.11416 - 4.28628i) q^{27} +(8.68576 + 0.551260i) q^{28} +(-0.330058 - 0.647775i) q^{29} +(-8.68043 - 1.87510i) q^{30} +(1.32044 - 0.429037i) q^{31} +(-1.31300 - 5.50237i) q^{32} +(5.44098 + 2.77232i) q^{33} +(0.966987 - 8.73682i) q^{34} +(4.88383 + 8.41612i) q^{35} +(9.73032 - 0.914384i) q^{36} +(-0.950919 - 0.690883i) q^{37} +(-0.791200 + 7.14856i) q^{38} +(-1.54336 - 2.12425i) q^{39} +(4.29886 - 4.63894i) q^{40} +(-6.35396 + 8.74548i) q^{41} +(-12.7796 - 11.6350i) q^{42} -12.3840 q^{43} +(-3.67320 + 2.32825i) q^{44} +(6.89514 + 8.47650i) q^{45} +(-2.01484 - 9.74278i) q^{46} +(0.702652 + 1.37903i) q^{47} +(-4.79406 + 10.1589i) q^{48} +11.9366i q^{49} +(6.98279 + 1.11384i) q^{50} +(-12.3427 + 12.3427i) q^{51} +(1.86176 - 0.174955i) q^{52} +(2.64352 + 0.858931i) q^{53} +(-6.26132 - 4.11538i) q^{54} +(-4.44623 - 1.96785i) q^{55} +(11.7671 - 3.60940i) q^{56} +(10.0990 - 10.0990i) q^{57} +(-0.760264 - 0.692169i) q^{58} +(6.39671 - 1.01314i) q^{59} +(-12.4214 + 1.85524i) q^{60} +(-6.44911 - 1.02144i) q^{61} +(1.53270 - 1.22723i) q^{62} +(3.32651 + 21.0028i) q^{63} +(-4.48574 - 6.62406i) q^{64} +(1.31929 + 1.62186i) q^{65} +(8.58355 + 0.950024i) q^{66} +(0.0812174 + 0.249961i) q^{67} +(-3.08488 - 12.0423i) q^{68} +(-8.96919 + 17.6030i) q^{69} +(10.6656 + 8.69539i) q^{70} +(-2.01712 + 6.20806i) q^{71} +(12.4170 - 6.07032i) q^{72} +(8.36301 + 1.32457i) q^{73} +(-1.60323 - 0.439069i) q^{74} +(-9.44156 - 10.3934i) q^{75} +(2.52409 + 9.85317i) q^{76} +(-5.56187 - 7.65525i) q^{77} +(-3.10307 - 2.03956i) q^{78} +(-0.800145 + 2.46259i) q^{79} +(3.37036 - 8.28497i) q^{80} +(0.0676782 + 0.208292i) q^{81} +(-4.03806 + 14.7447i) q^{82} +(8.32165 - 2.70387i) q^{83} +(-22.7200 - 9.00997i) q^{84} +(9.27709 - 10.3491i) q^{85} +(-16.3847 + 6.18612i) q^{86} +(0.319389 + 2.01654i) q^{87} +(-3.69682 + 4.91525i) q^{88} +(-13.5592 + 9.85130i) q^{89} +(13.3569 + 7.77058i) q^{90} +(0.636482 + 4.01859i) q^{91} +(-7.53250 - 11.8838i) q^{92} -3.89903 q^{93} +(1.61851 + 1.47354i) q^{94} +(-7.59063 + 8.46772i) q^{95} +(-1.26820 + 15.8355i) q^{96} +(-5.19838 + 2.64871i) q^{97} +(5.96261 + 15.7927i) q^{98} +(-7.51350 - 7.51350i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464 q - 8 q^{2} - 10 q^{3} - 10 q^{4} - 8 q^{5} - 6 q^{6} - 16 q^{7} - 2 q^{8} + 108 q^{9} + O(q^{10}) \) \( 464 q - 8 q^{2} - 10 q^{3} - 10 q^{4} - 8 q^{5} - 6 q^{6} - 16 q^{7} - 2 q^{8} + 108 q^{9} - 4 q^{10} - 6 q^{11} - 22 q^{12} - 6 q^{13} - 10 q^{14} - 12 q^{15} + 34 q^{16} - 16 q^{17} - 24 q^{18} - 10 q^{19} - 14 q^{20} - 36 q^{21} - 60 q^{22} - 16 q^{23} - 12 q^{24} - 16 q^{26} - 10 q^{27} + 6 q^{28} - 10 q^{29} - 106 q^{30} + 2 q^{32} - 16 q^{33} - 10 q^{34} - 60 q^{35} + 10 q^{36} - 6 q^{37} - 38 q^{38} - 20 q^{39} + 16 q^{40} - 38 q^{42} + 16 q^{43} - 80 q^{44} - 4 q^{45} - 6 q^{46} + 24 q^{47} + 60 q^{48} + 38 q^{50} - 16 q^{51} - 160 q^{52} - 10 q^{53} - 16 q^{55} - 6 q^{56} - 12 q^{57} - 110 q^{58} - 10 q^{59} - 50 q^{60} - 6 q^{61} - 14 q^{62} - 12 q^{63} + 20 q^{64} - 16 q^{65} - 6 q^{66} + 30 q^{67} - 50 q^{68} - 22 q^{69} + 38 q^{70} - 12 q^{71} + 172 q^{72} - 8 q^{73} + 8 q^{74} - 58 q^{75} - 16 q^{76} + 60 q^{77} - 48 q^{78} + 208 q^{80} - 96 q^{81} - 14 q^{82} - 10 q^{83} - 22 q^{84} + 2 q^{85} - 126 q^{86} - 72 q^{87} + 86 q^{88} + 110 q^{90} + 64 q^{91} - 66 q^{92} - 28 q^{93} - 10 q^{94} - 160 q^{95} - 36 q^{96} - 16 q^{97} - 44 q^{98} - 12 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32306 0.499525i 0.935541 0.353217i
\(3\) −2.67086 0.867815i −1.54202 0.501033i −0.590088 0.807339i \(-0.700907\pi\)
−0.951933 + 0.306306i \(0.900907\pi\)
\(4\) 1.50095 1.32180i 0.750475 0.660899i
\(5\) 2.16115 + 0.573972i 0.966494 + 0.256688i
\(6\) −3.96719 + 0.185994i −1.61960 + 0.0759317i
\(7\) 3.07706 + 3.07706i 1.16302 + 1.16302i 0.983811 + 0.179207i \(0.0573531\pi\)
0.179207 + 0.983811i \(0.442647\pi\)
\(8\) 1.32557 2.49857i 0.468659 0.883379i
\(9\) 3.95334 + 2.87227i 1.31778 + 0.957422i
\(10\) 3.14603 0.320150i 0.994862 0.101240i
\(11\) −2.14769 0.340160i −0.647552 0.102562i −0.175986 0.984393i \(-0.556311\pi\)
−0.471567 + 0.881830i \(0.656311\pi\)
\(12\) −5.15590 + 2.22779i −1.48838 + 0.643108i
\(13\) 0.756417 + 0.549569i 0.209792 + 0.152423i 0.687720 0.725976i \(-0.258612\pi\)
−0.477927 + 0.878399i \(0.658612\pi\)
\(14\) 5.60818 + 2.53405i 1.49885 + 0.677253i
\(15\) −5.27402 3.40847i −1.36175 0.880064i
\(16\) 0.505700 3.96790i 0.126425 0.991976i
\(17\) 2.82182 5.53813i 0.684391 1.34319i −0.243339 0.969941i \(-0.578243\pi\)
0.927730 0.373252i \(-0.121757\pi\)
\(18\) 6.66525 + 1.82538i 1.57101 + 0.430246i
\(19\) −2.30884 + 4.53136i −0.529685 + 1.03957i 0.458842 + 0.888518i \(0.348265\pi\)
−0.988527 + 0.151047i \(0.951735\pi\)
\(20\) 4.00245 1.99510i 0.894975 0.446117i
\(21\) −5.54807 10.8887i −1.21069 2.37611i
\(22\) −3.01143 + 0.622773i −0.642039 + 0.132776i
\(23\) 1.10051 6.94835i 0.229472 1.44883i −0.556643 0.830752i \(-0.687911\pi\)
0.786116 0.618079i \(-0.212089\pi\)
\(24\) −5.70871 + 5.52299i −1.16528 + 1.12738i
\(25\) 4.34111 + 2.48088i 0.868222 + 0.496175i
\(26\) 1.27530 + 0.349261i 0.250108 + 0.0684957i
\(27\) −3.11416 4.28628i −0.599321 0.824895i
\(28\) 8.68576 + 0.551260i 1.64145 + 0.104178i
\(29\) −0.330058 0.647775i −0.0612902 0.120289i 0.858329 0.513099i \(-0.171503\pi\)
−0.919619 + 0.392811i \(0.871503\pi\)
\(30\) −8.68043 1.87510i −1.58482 0.342344i
\(31\) 1.32044 0.429037i 0.237158 0.0770573i −0.188027 0.982164i \(-0.560209\pi\)
0.425185 + 0.905107i \(0.360209\pi\)
\(32\) −1.31300 5.50237i −0.232107 0.972690i
\(33\) 5.44098 + 2.77232i 0.947153 + 0.482598i
\(34\) 0.966987 8.73682i 0.165837 1.49835i
\(35\) 4.88383 + 8.41612i 0.825517 + 1.42258i
\(36\) 9.73032 0.914384i 1.62172 0.152397i
\(37\) −0.950919 0.690883i −0.156330 0.113580i 0.506870 0.862022i \(-0.330802\pi\)
−0.663200 + 0.748442i \(0.730802\pi\)
\(38\) −0.791200 + 7.14856i −0.128350 + 1.15965i
\(39\) −1.54336 2.12425i −0.247135 0.340152i
\(40\) 4.29886 4.63894i 0.679709 0.733482i
\(41\) −6.35396 + 8.74548i −0.992322 + 1.36581i −0.0624027 + 0.998051i \(0.519876\pi\)
−0.929919 + 0.367763i \(0.880124\pi\)
\(42\) −12.7796 11.6350i −1.97193 1.79531i
\(43\) −12.3840 −1.88854 −0.944272 0.329166i \(-0.893233\pi\)
−0.944272 + 0.329166i \(0.893233\pi\)
\(44\) −3.67320 + 2.32825i −0.553755 + 0.350996i
\(45\) 6.89514 + 8.47650i 1.02787 + 1.26360i
\(46\) −2.01484 9.74278i −0.297072 1.43649i
\(47\) 0.702652 + 1.37903i 0.102492 + 0.201152i 0.936558 0.350513i \(-0.113993\pi\)
−0.834066 + 0.551665i \(0.813993\pi\)
\(48\) −4.79406 + 10.1589i −0.691963 + 1.46631i
\(49\) 11.9366i 1.70522i
\(50\) 6.98279 + 1.11384i 0.987516 + 0.157521i
\(51\) −12.3427 + 12.3427i −1.72833 + 1.72833i
\(52\) 1.86176 0.174955i 0.258180 0.0242619i
\(53\) 2.64352 + 0.858931i 0.363115 + 0.117983i 0.484892 0.874574i \(-0.338859\pi\)
−0.121776 + 0.992558i \(0.538859\pi\)
\(54\) −6.26132 4.11538i −0.852057 0.560033i
\(55\) −4.44623 1.96785i −0.599529 0.265345i
\(56\) 11.7671 3.60940i 1.57245 0.482327i
\(57\) 10.0990 10.0990i 1.33764 1.33764i
\(58\) −0.760264 0.692169i −0.0998276 0.0908863i
\(59\) 6.39671 1.01314i 0.832781 0.131900i 0.274537 0.961577i \(-0.411475\pi\)
0.558244 + 0.829677i \(0.311475\pi\)
\(60\) −12.4214 + 1.85524i −1.60359 + 0.239510i
\(61\) −6.44911 1.02144i −0.825723 0.130782i −0.270750 0.962650i \(-0.587272\pi\)
−0.554974 + 0.831868i \(0.687272\pi\)
\(62\) 1.53270 1.22723i 0.194653 0.155859i
\(63\) 3.32651 + 21.0028i 0.419101 + 2.64610i
\(64\) −4.48574 6.62406i −0.560717 0.828007i
\(65\) 1.31929 + 1.62186i 0.163638 + 0.201167i
\(66\) 8.58355 + 0.950024i 1.05656 + 0.116940i
\(67\) 0.0812174 + 0.249961i 0.00992228 + 0.0305377i 0.955895 0.293708i \(-0.0948894\pi\)
−0.945973 + 0.324246i \(0.894889\pi\)
\(68\) −3.08488 12.0423i −0.374097 1.46035i
\(69\) −8.96919 + 17.6030i −1.07976 + 2.11916i
\(70\) 10.6656 + 8.69539i 1.27479 + 1.03930i
\(71\) −2.01712 + 6.20806i −0.239388 + 0.736761i 0.757121 + 0.653275i \(0.226605\pi\)
−0.996509 + 0.0834860i \(0.973395\pi\)
\(72\) 12.4170 6.07032i 1.46336 0.715394i
\(73\) 8.36301 + 1.32457i 0.978817 + 0.155029i 0.625288 0.780394i \(-0.284982\pi\)
0.353529 + 0.935424i \(0.384982\pi\)
\(74\) −1.60323 0.439069i −0.186372 0.0510407i
\(75\) −9.44156 10.3934i −1.09022 1.20012i
\(76\) 2.52409 + 9.85317i 0.289532 + 1.13024i
\(77\) −5.56187 7.65525i −0.633833 0.872397i
\(78\) −3.10307 2.03956i −0.351353 0.230934i
\(79\) −0.800145 + 2.46259i −0.0900233 + 0.277063i −0.985925 0.167190i \(-0.946531\pi\)
0.895901 + 0.444253i \(0.146531\pi\)
\(80\) 3.37036 8.28497i 0.376818 0.926287i
\(81\) 0.0676782 + 0.208292i 0.00751980 + 0.0231436i
\(82\) −4.03806 + 14.7447i −0.445929 + 1.62828i
\(83\) 8.32165 2.70387i 0.913420 0.296788i 0.185655 0.982615i \(-0.440559\pi\)
0.727765 + 0.685827i \(0.240559\pi\)
\(84\) −22.7200 9.00997i −2.47896 0.983068i
\(85\) 9.27709 10.3491i 1.00624 1.12251i
\(86\) −16.3847 + 6.18612i −1.76681 + 0.667067i
\(87\) 0.319389 + 2.01654i 0.0342421 + 0.216196i
\(88\) −3.69682 + 4.91525i −0.394083 + 0.523967i
\(89\) −13.5592 + 9.85130i −1.43727 + 1.04424i −0.448663 + 0.893701i \(0.648100\pi\)
−0.988605 + 0.150535i \(0.951900\pi\)
\(90\) 13.3569 + 7.77058i 1.40794 + 0.819091i
\(91\) 0.636482 + 4.01859i 0.0667215 + 0.421263i
\(92\) −7.53250 11.8838i −0.785318 1.23897i
\(93\) −3.89903 −0.404311
\(94\) 1.61851 + 1.47354i 0.166936 + 0.151984i
\(95\) −7.59063 + 8.46772i −0.778782 + 0.868770i
\(96\) −1.26820 + 15.8355i −0.129435 + 1.61620i
\(97\) −5.19838 + 2.64871i −0.527815 + 0.268935i −0.697527 0.716558i \(-0.745716\pi\)
0.169712 + 0.985494i \(0.445716\pi\)
\(98\) 5.96261 + 15.7927i 0.602314 + 1.59531i
\(99\) −7.51350 7.51350i −0.755135 0.755135i
\(100\) 9.79501 2.01440i 0.979501 0.201440i
\(101\) 2.25588 2.25588i 0.224469 0.224469i −0.585908 0.810377i \(-0.699262\pi\)
0.810377 + 0.585908i \(0.199262\pi\)
\(102\) −10.1646 + 22.4956i −1.00645 + 2.22740i
\(103\) −2.77738 5.45091i −0.273663 0.537094i 0.712742 0.701426i \(-0.247453\pi\)
−0.986405 + 0.164332i \(0.947453\pi\)
\(104\) 2.37582 1.16147i 0.232968 0.113892i
\(105\) −5.74038 26.7165i −0.560204 2.60727i
\(106\) 3.92658 0.184090i 0.381383 0.0178804i
\(107\) 8.18705i 0.791472i −0.918364 0.395736i \(-0.870490\pi\)
0.918364 0.395736i \(-0.129510\pi\)
\(108\) −10.3398 2.31719i −0.994948 0.222972i
\(109\) 0.421574 0.0667708i 0.0403795 0.00639548i −0.136212 0.990680i \(-0.543493\pi\)
0.176592 + 0.984284i \(0.443493\pi\)
\(110\) −6.86559 0.382573i −0.654609 0.0364769i
\(111\) 1.94021 + 2.67047i 0.184157 + 0.253470i
\(112\) 13.7655 10.6534i 1.30072 1.00665i
\(113\) −8.39831 + 1.33016i −0.790047 + 0.125131i −0.538402 0.842688i \(-0.680972\pi\)
−0.251645 + 0.967820i \(0.580972\pi\)
\(114\) 8.31681 18.4062i 0.778941 1.72390i
\(115\) 6.36653 14.3847i 0.593682 1.34138i
\(116\) −1.35163 0.536008i −0.125495 0.0497671i
\(117\) 1.41186 + 4.34526i 0.130527 + 0.401720i
\(118\) 7.95711 4.53576i 0.732511 0.417550i
\(119\) 25.7240 8.35824i 2.35812 0.766199i
\(120\) −15.5074 + 8.65935i −1.41562 + 0.790487i
\(121\) −5.96477 1.93807i −0.542251 0.176188i
\(122\) −9.04276 + 1.87007i −0.818693 + 0.169308i
\(123\) 24.5600 17.8439i 2.21450 1.60893i
\(124\) 1.41481 2.38932i 0.127054 0.214567i
\(125\) 7.95782 + 7.85322i 0.711769 + 0.702413i
\(126\) 14.8926 + 26.1261i 1.32674 + 2.32750i
\(127\) 0.417558 2.63635i 0.0370522 0.233939i −0.962212 0.272303i \(-0.912215\pi\)
0.999264 + 0.0383643i \(0.0122147\pi\)
\(128\) −9.24376 6.52326i −0.817041 0.576580i
\(129\) 33.0760 + 10.7470i 2.91218 + 0.946223i
\(130\) 2.55565 + 1.48679i 0.224146 + 0.130400i
\(131\) 7.19225 + 3.66463i 0.628390 + 0.320181i 0.739022 0.673681i \(-0.235288\pi\)
−0.110633 + 0.993861i \(0.535288\pi\)
\(132\) 11.8311 3.03077i 1.02976 0.263794i
\(133\) −21.0477 + 6.83881i −1.82507 + 0.593000i
\(134\) 0.232317 + 0.290143i 0.0200691 + 0.0250645i
\(135\) −4.26996 11.0507i −0.367500 0.951095i
\(136\) −10.0969 14.3917i −0.865803 1.23408i
\(137\) −10.1036 + 1.60026i −0.863210 + 0.136719i −0.572313 0.820035i \(-0.693954\pi\)
−0.290897 + 0.956754i \(0.593954\pi\)
\(138\) −3.07358 + 27.7701i −0.261641 + 2.36395i
\(139\) 1.19694 7.55717i 0.101523 0.640990i −0.883482 0.468465i \(-0.844807\pi\)
0.985005 0.172526i \(-0.0551927\pi\)
\(140\) 18.4548 + 6.17674i 1.55971 + 0.522030i
\(141\) −0.679940 4.29297i −0.0572613 0.361533i
\(142\) 0.432318 + 9.22120i 0.0362793 + 0.773826i
\(143\) −1.43761 1.43761i −0.120219 0.120219i
\(144\) 13.3961 14.2340i 1.11634 1.18616i
\(145\) −0.341498 1.58938i −0.0283599 0.131991i
\(146\) 11.7264 2.42505i 0.970483 0.200699i
\(147\) 10.3587 31.8809i 0.854373 2.62949i
\(148\) −2.34049 + 0.219942i −0.192387 + 0.0180791i
\(149\) −10.3901 10.3901i −0.851193 0.851193i 0.139087 0.990280i \(-0.455583\pi\)
−0.990280 + 0.139087i \(0.955583\pi\)
\(150\) −17.6834 9.03469i −1.44385 0.737679i
\(151\) −5.15480 −0.419492 −0.209746 0.977756i \(-0.567264\pi\)
−0.209746 + 0.977756i \(0.567264\pi\)
\(152\) 8.26141 + 11.7754i 0.670089 + 0.955114i
\(153\) 27.0626 13.7891i 2.18788 1.11478i
\(154\) −11.1826 7.35003i −0.901123 0.592282i
\(155\) 3.09992 0.169316i 0.248992 0.0135998i
\(156\) −5.12433 1.14839i −0.410275 0.0919444i
\(157\) 4.38533i 0.349987i 0.984570 + 0.174994i \(0.0559905\pi\)
−0.984570 + 0.174994i \(0.944010\pi\)
\(158\) 0.171491 + 3.65784i 0.0136431 + 0.291002i
\(159\) −6.31507 4.58817i −0.500818 0.363865i
\(160\) 0.320625 12.6450i 0.0253476 0.999679i
\(161\) 24.7668 17.9941i 1.95190 1.41814i
\(162\) 0.193589 + 0.241775i 0.0152098 + 0.0189956i
\(163\) −2.60600 + 3.58686i −0.204118 + 0.280944i −0.898787 0.438385i \(-0.855551\pi\)
0.694669 + 0.719329i \(0.255551\pi\)
\(164\) 2.02278 + 21.5252i 0.157952 + 1.68083i
\(165\) 10.1675 + 9.11435i 0.791540 + 0.709551i
\(166\) 9.65935 7.73424i 0.749711 0.600293i
\(167\) −8.85085 + 17.3708i −0.684899 + 1.34419i 0.242513 + 0.970148i \(0.422028\pi\)
−0.927412 + 0.374042i \(0.877972\pi\)
\(168\) −34.5606 0.571455i −2.66641 0.0440887i
\(169\) −3.74708 11.5323i −0.288237 0.887102i
\(170\) 7.10449 18.3265i 0.544890 1.40558i
\(171\) −22.1429 + 11.2824i −1.69331 + 0.862785i
\(172\) −18.5878 + 16.3692i −1.41731 + 1.24814i
\(173\) −5.07141 + 3.68460i −0.385572 + 0.280135i −0.763639 0.645644i \(-0.776589\pi\)
0.378066 + 0.925778i \(0.376589\pi\)
\(174\) 1.42988 + 2.50846i 0.108399 + 0.190166i
\(175\) 5.72405 + 20.9916i 0.432697 + 1.58682i
\(176\) −2.43581 + 8.34980i −0.183606 + 0.629390i
\(177\) −17.9639 2.84521i −1.35025 0.213859i
\(178\) −13.0185 + 19.8070i −0.975781 + 1.48459i
\(179\) −18.3243 + 9.33668i −1.36962 + 0.697856i −0.975252 0.221097i \(-0.929036\pi\)
−0.394368 + 0.918953i \(0.629036\pi\)
\(180\) 21.5535 + 3.60882i 1.60650 + 0.268985i
\(181\) −2.34610 1.19540i −0.174384 0.0888533i 0.364619 0.931157i \(-0.381199\pi\)
−0.539004 + 0.842303i \(0.681199\pi\)
\(182\) 2.84949 + 4.99888i 0.211218 + 0.370542i
\(183\) 16.3382 + 8.32475i 1.20776 + 0.615383i
\(184\) −15.9022 11.9602i −1.17232 0.881719i
\(185\) −1.65853 2.03890i −0.121937 0.149903i
\(186\) −5.15864 + 1.94766i −0.378250 + 0.142810i
\(187\) −7.94423 + 10.9343i −0.580940 + 0.799595i
\(188\) 2.87745 + 1.14109i 0.209859 + 0.0832228i
\(189\) 3.60667 22.7716i 0.262346 1.65639i
\(190\) −5.81298 + 14.9950i −0.421718 + 1.08785i
\(191\) 12.5772 17.3110i 0.910052 1.25258i −0.0570972 0.998369i \(-0.518184\pi\)
0.967149 0.254210i \(-0.0818155\pi\)
\(192\) 6.23232 + 21.5847i 0.449779 + 1.55774i
\(193\) 5.60455 5.60455i 0.403424 0.403424i −0.476014 0.879438i \(-0.657919\pi\)
0.879438 + 0.476014i \(0.157919\pi\)
\(194\) −5.55465 + 6.10111i −0.398800 + 0.438034i
\(195\) −2.11616 5.47666i −0.151542 0.392192i
\(196\) 15.7777 + 17.9162i 1.12698 + 1.27973i
\(197\) −4.74149 + 14.5928i −0.337817 + 1.03969i 0.627501 + 0.778616i \(0.284078\pi\)
−0.965318 + 0.261078i \(0.915922\pi\)
\(198\) −13.6940 6.18760i −0.973187 0.439733i
\(199\) 24.4081i 1.73024i 0.501564 + 0.865121i \(0.332758\pi\)
−0.501564 + 0.865121i \(0.667242\pi\)
\(200\) 11.9531 7.55801i 0.845211 0.534432i
\(201\) 0.738094i 0.0520611i
\(202\) 1.85779 4.11153i 0.130713 0.289286i
\(203\) 0.977633 3.00885i 0.0686164 0.211180i
\(204\) −2.21122 + 34.8405i −0.154817 + 2.43932i
\(205\) −18.7515 + 15.2533i −1.30966 + 1.06533i
\(206\) −6.39749 5.82449i −0.445734 0.405811i
\(207\) 24.3082 24.3082i 1.68954 1.68954i
\(208\) 2.56316 2.72347i 0.177723 0.188839i
\(209\) 6.50006 8.94657i 0.449619 0.618847i
\(210\) −20.9404 32.4800i −1.44503 2.24133i
\(211\) −1.02357 + 6.46254i −0.0704651 + 0.444899i 0.927079 + 0.374865i \(0.122311\pi\)
−0.997545 + 0.0700344i \(0.977689\pi\)
\(212\) 5.10312 2.20498i 0.350484 0.151439i
\(213\) 10.7749 14.8304i 0.738283 1.01616i
\(214\) −4.08963 10.8319i −0.279562 0.740455i
\(215\) −26.7637 7.10808i −1.82527 0.484767i
\(216\) −14.8376 + 2.09921i −1.00957 + 0.142833i
\(217\) 5.38324 + 2.74290i 0.365438 + 0.186200i
\(218\) 0.524412 0.298928i 0.0355177 0.0202460i
\(219\) −21.1870 10.7953i −1.43168 0.729478i
\(220\) −9.27466 + 2.92337i −0.625298 + 0.197094i
\(221\) 5.17805 2.63835i 0.348313 0.177475i
\(222\) 3.90098 + 2.56400i 0.261816 + 0.172084i
\(223\) −5.21903 0.826613i −0.349492 0.0553541i −0.0207795 0.999784i \(-0.506615\pi\)
−0.328713 + 0.944430i \(0.606615\pi\)
\(224\) 12.8909 20.9713i 0.861311 1.40120i
\(225\) 10.0361 + 22.2766i 0.669076 + 1.48510i
\(226\) −10.4470 + 5.95504i −0.694923 + 0.396124i
\(227\) 14.2236 10.3341i 0.944054 0.685895i −0.00533937 0.999986i \(-0.501700\pi\)
0.949393 + 0.314091i \(0.101700\pi\)
\(228\) 1.80925 28.5069i 0.119820 1.88791i
\(229\) −8.42553 + 4.29302i −0.556775 + 0.283691i −0.709650 0.704555i \(-0.751147\pi\)
0.152875 + 0.988246i \(0.451147\pi\)
\(230\) 1.23773 22.2120i 0.0816133 1.46462i
\(231\) 8.21162 + 25.2728i 0.540285 + 1.66283i
\(232\) −2.05603 0.0339962i −0.134985 0.00223196i
\(233\) 7.54878 14.8153i 0.494537 0.970583i −0.499983 0.866035i \(-0.666660\pi\)
0.994520 0.104548i \(-0.0333396\pi\)
\(234\) 4.03854 + 5.04376i 0.264007 + 0.329721i
\(235\) 0.727008 + 3.38359i 0.0474248 + 0.220721i
\(236\) 8.26197 9.97583i 0.537809 0.649371i
\(237\) 4.27415 5.88286i 0.277636 0.382133i
\(238\) 29.8591 23.9082i 1.93548 1.54974i
\(239\) 15.3921 11.1830i 0.995631 0.723368i 0.0344838 0.999405i \(-0.489021\pi\)
0.961147 + 0.276037i \(0.0890213\pi\)
\(240\) −16.1916 + 19.2031i −1.04516 + 1.23956i
\(241\) −0.879819 0.639226i −0.0566741 0.0411762i 0.559088 0.829109i \(-0.311152\pi\)
−0.615762 + 0.787932i \(0.711152\pi\)
\(242\) −8.85983 + 0.415376i −0.569531 + 0.0267014i
\(243\) 15.2793i 0.980171i
\(244\) −11.0299 + 6.99129i −0.706118 + 0.447571i
\(245\) −6.85125 + 25.7967i −0.437711 + 1.64809i
\(246\) 23.5808 35.8768i 1.50345 2.28742i
\(247\) −4.23674 + 2.15873i −0.269577 + 0.137357i
\(248\) 0.678353 3.86793i 0.0430755 0.245614i
\(249\) −24.5724 −1.55721
\(250\) 14.4515 + 6.41511i 0.913994 + 0.405727i
\(251\) −1.92363 1.92363i −0.121419 0.121419i 0.643786 0.765205i \(-0.277363\pi\)
−0.765205 + 0.643786i \(0.777363\pi\)
\(252\) 32.7543 + 27.1271i 2.06333 + 1.70885i
\(253\) −4.72711 + 14.5485i −0.297191 + 0.914659i
\(254\) −0.764473 3.69662i −0.0479673 0.231947i
\(255\) −33.7589 + 19.5901i −2.11406 + 1.22678i
\(256\) −15.4885 4.01314i −0.968033 0.250821i
\(257\) 1.75472 + 1.75472i 0.109456 + 0.109456i 0.759714 0.650257i \(-0.225339\pi\)
−0.650257 + 0.759714i \(0.725339\pi\)
\(258\) 49.1297 2.30335i 3.05868 0.143400i
\(259\) −0.800145 5.05192i −0.0497186 0.313911i
\(260\) 4.12396 + 0.690497i 0.255757 + 0.0428228i
\(261\) 0.555753 3.50888i 0.0344002 0.217195i
\(262\) 11.3463 + 1.25581i 0.700978 + 0.0775839i
\(263\) 15.9050 2.51910i 0.980742 0.155334i 0.354579 0.935026i \(-0.384624\pi\)
0.626163 + 0.779692i \(0.284624\pi\)
\(264\) 14.1392 9.91979i 0.870209 0.610521i
\(265\) 5.22003 + 3.37358i 0.320664 + 0.207238i
\(266\) −24.4311 + 19.5620i −1.49797 + 1.19942i
\(267\) 44.7637 14.5446i 2.73949 0.890116i
\(268\) 0.452302 + 0.267827i 0.0276287 + 0.0163601i
\(269\) 24.7897 + 12.6310i 1.51146 + 0.770125i 0.996215 0.0869202i \(-0.0277025\pi\)
0.515241 + 0.857045i \(0.327703\pi\)
\(270\) −11.1695 12.4878i −0.679755 0.759981i
\(271\) −15.5839 5.06352i −0.946655 0.307587i −0.205300 0.978699i \(-0.565817\pi\)
−0.741356 + 0.671112i \(0.765817\pi\)
\(272\) −20.5478 13.9973i −1.24589 0.848713i
\(273\) 1.78744 11.2854i 0.108181 0.683026i
\(274\) −12.5683 + 7.16424i −0.759277 + 0.432807i
\(275\) −8.47946 6.80482i −0.511331 0.410346i
\(276\) 9.80534 + 38.2767i 0.590212 + 2.30399i
\(277\) 12.3872 8.99981i 0.744273 0.540746i −0.149773 0.988720i \(-0.547854\pi\)
0.894047 + 0.447974i \(0.147854\pi\)
\(278\) −2.19138 10.5964i −0.131430 0.635533i
\(279\) 6.45245 + 2.09653i 0.386298 + 0.125516i
\(280\) 27.5021 1.04646i 1.64357 0.0625380i
\(281\) 11.7904 3.83094i 0.703358 0.228535i 0.0645650 0.997914i \(-0.479434\pi\)
0.638793 + 0.769379i \(0.279434\pi\)
\(282\) −3.04404 5.34019i −0.181270 0.318004i
\(283\) −1.20809 3.71811i −0.0718133 0.221019i 0.908708 0.417433i \(-0.137070\pi\)
−0.980521 + 0.196415i \(0.937070\pi\)
\(284\) 5.17820 + 11.9842i 0.307270 + 0.711132i
\(285\) 27.6219 16.0288i 1.63618 0.949467i
\(286\) −2.62015 1.18391i −0.154933 0.0700062i
\(287\) −46.4618 + 7.35883i −2.74256 + 0.434378i
\(288\) 10.6135 25.5240i 0.625409 1.50402i
\(289\) −12.7159 17.5019i −0.747991 1.02952i
\(290\) −1.24576 1.93225i −0.0731533 0.113466i
\(291\) 16.1827 2.56309i 0.948648 0.150251i
\(292\) 14.3033 9.06610i 0.837036 0.530553i
\(293\) 4.37229i 0.255432i 0.991811 + 0.127716i \(0.0407646\pi\)
−0.991811 + 0.127716i \(0.959235\pi\)
\(294\) −2.22013 47.3546i −0.129480 2.76178i
\(295\) 14.4057 + 1.48199i 0.838735 + 0.0862849i
\(296\) −2.98673 + 1.46013i −0.173600 + 0.0848682i
\(297\) 5.23023 + 10.2649i 0.303489 + 0.595630i
\(298\) −18.9368 8.55659i −1.09698 0.495670i
\(299\) 4.65104 4.65104i 0.268977 0.268977i
\(300\) −27.9092 3.12007i −1.61134 0.180137i
\(301\) −38.1063 38.1063i −2.19641 2.19641i
\(302\) −6.82008 + 2.57495i −0.392452 + 0.148172i
\(303\) −7.98283 + 4.06746i −0.458602 + 0.233669i
\(304\) 16.8124 + 11.4528i 0.964259 + 0.656862i
\(305\) −13.3512 5.90909i −0.764487 0.338353i
\(306\) 28.9173 31.7621i 1.65309 1.81572i
\(307\) 9.34527 0.533363 0.266681 0.963785i \(-0.414073\pi\)
0.266681 + 0.963785i \(0.414073\pi\)
\(308\) −18.4668 4.13848i −1.05224 0.235812i
\(309\) 2.68760 + 16.9689i 0.152892 + 0.965325i
\(310\) 4.01679 1.77250i 0.228138 0.100671i
\(311\) 12.1646 8.83812i 0.689792 0.501164i −0.186799 0.982398i \(-0.559811\pi\)
0.876592 + 0.481235i \(0.159811\pi\)
\(312\) −7.35342 + 1.04036i −0.416306 + 0.0588985i
\(313\) −0.294059 1.85662i −0.0166212 0.104942i 0.977983 0.208685i \(-0.0669182\pi\)
−0.994604 + 0.103742i \(0.966918\pi\)
\(314\) 2.19058 + 5.80203i 0.123622 + 0.327428i
\(315\) −4.86593 + 47.2994i −0.274164 + 2.66502i
\(316\) 2.05407 + 4.75386i 0.115551 + 0.267425i
\(317\) 31.1453 10.1197i 1.74930 0.568381i 0.753292 0.657686i \(-0.228465\pi\)
0.996004 + 0.0893048i \(0.0284645\pi\)
\(318\) −10.6471 2.91586i −0.597059 0.163514i
\(319\) 0.488514 + 1.50349i 0.0273515 + 0.0841793i
\(320\) −5.89231 16.8903i −0.329390 0.944194i
\(321\) −7.10484 + 21.8665i −0.396554 + 1.22047i
\(322\) 23.7793 36.1789i 1.32517 2.01617i
\(323\) 18.5801 + 25.5733i 1.03383 + 1.42294i
\(324\) 0.376902 + 0.223179i 0.0209390 + 0.0123988i
\(325\) 1.92028 + 4.26232i 0.106518 + 0.236431i
\(326\) −1.65616 + 6.04737i −0.0917264 + 0.334933i
\(327\) −1.18391 0.187513i −0.0654704 0.0103695i
\(328\) 13.4286 + 27.4686i 0.741471 + 1.51670i
\(329\) −2.08126 + 6.40546i −0.114744 + 0.353144i
\(330\) 18.0050 + 6.97986i 0.991144 + 0.384229i
\(331\) 13.7683 27.0217i 0.756772 1.48525i −0.113956 0.993486i \(-0.536352\pi\)
0.870729 0.491764i \(-0.163648\pi\)
\(332\) 8.91641 15.0579i 0.489352 0.826410i
\(333\) −1.77490 5.46259i −0.0972640 0.299348i
\(334\) −3.03303 + 27.4037i −0.165960 + 1.49946i
\(335\) 0.0320518 + 0.586820i 0.00175117 + 0.0320614i
\(336\) −46.0110 + 16.5078i −2.51011 + 0.900574i
\(337\) 3.96021 + 25.0038i 0.215726 + 1.36204i 0.823222 + 0.567719i \(0.192174\pi\)
−0.607496 + 0.794323i \(0.707826\pi\)
\(338\) −10.7183 13.3861i −0.582998 0.728110i
\(339\) 23.5850 + 3.73550i 1.28096 + 0.202885i
\(340\) 0.245081 27.7959i 0.0132914 1.50744i
\(341\) −2.98183 + 0.472276i −0.161475 + 0.0255752i
\(342\) −23.6605 + 25.9881i −1.27941 + 1.40528i
\(343\) −15.1901 + 15.1901i −0.820187 + 0.820187i
\(344\) −16.4159 + 30.9424i −0.885084 + 1.66830i
\(345\) −29.4874 + 32.8947i −1.58755 + 1.77099i
\(346\) −4.86921 + 7.40822i −0.261770 + 0.398268i
\(347\) −0.0143193 0.00465262i −0.000768700 0.000249766i 0.308633 0.951181i \(-0.400129\pi\)
−0.309401 + 0.950932i \(0.600129\pi\)
\(348\) 3.14485 + 2.60456i 0.168582 + 0.139619i
\(349\) −6.46667 + 6.46667i −0.346153 + 0.346153i −0.858674 0.512521i \(-0.828712\pi\)
0.512521 + 0.858674i \(0.328712\pi\)
\(350\) 18.0591 + 24.9138i 0.965298 + 1.33170i
\(351\) 4.95366i 0.264407i
\(352\) 0.948223 + 12.2640i 0.0505405 + 0.653673i
\(353\) −6.99961 13.7375i −0.372551 0.731173i 0.626275 0.779602i \(-0.284579\pi\)
−0.998827 + 0.0484287i \(0.984579\pi\)
\(354\) −25.1885 + 5.20906i −1.33875 + 0.276859i
\(355\) −7.92255 + 12.2588i −0.420485 + 0.650627i
\(356\) −7.33018 + 32.7088i −0.388499 + 1.73356i
\(357\) −75.9587 −4.02016
\(358\) −19.5801 + 21.5064i −1.03484 + 1.13665i
\(359\) 14.3661 19.7733i 0.758215 1.04359i −0.239146 0.970984i \(-0.576867\pi\)
0.997360 0.0726092i \(-0.0231326\pi\)
\(360\) 30.3191 5.99184i 1.59796 0.315797i
\(361\) −4.03455 5.55308i −0.212345 0.292267i
\(362\) −3.70116 0.409642i −0.194528 0.0215303i
\(363\) 14.2492 + 10.3526i 0.747887 + 0.543372i
\(364\) 6.26710 + 5.19040i 0.328485 + 0.272051i
\(365\) 17.3134 + 7.66273i 0.906227 + 0.401086i
\(366\) 25.7748 + 2.85274i 1.34727 + 0.149115i
\(367\) −5.02531 2.56052i −0.262319 0.133658i 0.317885 0.948129i \(-0.397027\pi\)
−0.580204 + 0.814471i \(0.697027\pi\)
\(368\) −27.0139 7.88050i −1.40819 0.410800i
\(369\) −50.2387 + 16.3235i −2.61532 + 0.849770i
\(370\) −3.21281 1.86910i −0.167026 0.0971700i
\(371\) 5.49128 + 10.7772i 0.285093 + 0.559526i
\(372\) −5.85225 + 5.15374i −0.303425 + 0.267209i
\(373\) −3.77459 5.19527i −0.195441 0.269001i 0.700038 0.714106i \(-0.253166\pi\)
−0.895479 + 0.445105i \(0.853166\pi\)
\(374\) −5.04870 + 18.4350i −0.261062 + 0.953252i
\(375\) −14.4391 27.8808i −0.745631 1.43976i
\(376\) 4.37703 + 0.0723736i 0.225728 + 0.00373238i
\(377\) 0.106336 0.671377i 0.00547657 0.0345777i
\(378\) −6.60316 31.9297i −0.339630 1.64229i
\(379\) 15.3740 + 30.1731i 0.789708 + 1.54989i 0.834574 + 0.550896i \(0.185714\pi\)
−0.0448661 + 0.998993i \(0.514286\pi\)
\(380\) −0.200528 + 22.7429i −0.0102869 + 1.16669i
\(381\) −3.40311 + 6.67897i −0.174346 + 0.342174i
\(382\) 7.99302 29.1860i 0.408958 1.49329i
\(383\) 8.38425 16.4550i 0.428415 0.840812i −0.571382 0.820684i \(-0.693593\pi\)
0.999797 0.0201281i \(-0.00640739\pi\)
\(384\) 19.0278 + 25.4446i 0.971009 + 1.29846i
\(385\) −7.62611 19.7365i −0.388662 1.00586i
\(386\) 4.61551 10.2147i 0.234923 0.519916i
\(387\) −48.9582 35.5702i −2.48868 1.80813i
\(388\) −4.30145 + 10.8468i −0.218373 + 0.550662i
\(389\) 18.3067 + 2.89949i 0.928184 + 0.147010i 0.602182 0.798359i \(-0.294298\pi\)
0.326003 + 0.945369i \(0.394298\pi\)
\(390\) −5.53553 6.18885i −0.280303 0.313385i
\(391\) −35.3754 25.7017i −1.78901 1.29979i
\(392\) 29.8244 + 15.8227i 1.50636 + 0.799168i
\(393\) −16.0293 16.0293i −0.808569 0.808569i
\(394\) 1.01622 + 21.6756i 0.0511963 + 1.09200i
\(395\) −3.14269 + 4.86276i −0.158126 + 0.244672i
\(396\) −21.2087 1.34606i −1.06578 0.0676419i
\(397\) −6.44341 2.09359i −0.323385 0.105074i 0.142826 0.989748i \(-0.454381\pi\)
−0.466211 + 0.884674i \(0.654381\pi\)
\(398\) 12.1924 + 32.2932i 0.611151 + 1.61871i
\(399\) 62.1503 3.11140
\(400\) 12.0392 15.9705i 0.601959 0.798527i
\(401\) −11.8742 −0.592969 −0.296484 0.955038i \(-0.595814\pi\)
−0.296484 + 0.955038i \(0.595814\pi\)
\(402\) −0.368696 0.976539i −0.0183889 0.0487053i
\(403\) 1.23459 + 0.401142i 0.0614992 + 0.0199823i
\(404\) 0.404145 6.36779i 0.0201070 0.316809i
\(405\) 0.0267086 + 0.488995i 0.00132716 + 0.0242984i
\(406\) −0.209531 4.46922i −0.0103988 0.221804i
\(407\) 1.80727 + 1.80727i 0.0895829 + 0.0895829i
\(408\) 14.4781 + 47.2004i 0.716773 + 2.33677i
\(409\) −3.72131 2.70369i −0.184007 0.133689i 0.491969 0.870613i \(-0.336277\pi\)
−0.675975 + 0.736924i \(0.736277\pi\)
\(410\) −17.1899 + 29.5478i −0.848948 + 1.45926i
\(411\) 28.3741 + 4.49401i 1.39959 + 0.221673i
\(412\) −11.3737 4.51041i −0.560342 0.222212i
\(413\) 22.8005 + 16.5656i 1.12194 + 0.815138i
\(414\) 20.0185 44.3036i 0.983858 2.17741i
\(415\) 19.5363 1.06706i 0.958997 0.0523799i
\(416\) 2.03076 4.88367i 0.0995660 0.239441i
\(417\) −9.75507 + 19.1454i −0.477708 + 0.937555i
\(418\) 4.13091 15.0838i 0.202049 0.737770i
\(419\) 10.3081 20.2308i 0.503584 0.988340i −0.489618 0.871937i \(-0.662864\pi\)
0.993202 0.116403i \(-0.0371363\pi\)
\(420\) −43.9299 32.5125i −2.14356 1.58645i
\(421\) −11.7238 23.0092i −0.571383 1.12140i −0.978156 0.207872i \(-0.933346\pi\)
0.406773 0.913529i \(-0.366654\pi\)
\(422\) 1.87396 + 9.06159i 0.0912232 + 0.441111i
\(423\) −1.18313 + 7.46998i −0.0575257 + 0.363203i
\(424\) 5.65027 5.46645i 0.274401 0.265474i
\(425\) 25.9892 17.0410i 1.26066 0.826612i
\(426\) 6.84764 25.0037i 0.331769 1.21143i
\(427\) −16.7012 22.9873i −0.808230 1.11243i
\(428\) −10.8216 12.2883i −0.523083 0.593980i
\(429\) 2.59207 + 5.08722i 0.125146 + 0.245613i
\(430\) −38.9605 + 3.96474i −1.87884 + 0.191197i
\(431\) −23.6395 + 7.68093i −1.13867 + 0.369978i −0.816866 0.576827i \(-0.804291\pi\)
−0.321808 + 0.946805i \(0.604291\pi\)
\(432\) −18.5824 + 10.1891i −0.894045 + 0.490225i
\(433\) 16.2771 + 8.29362i 0.782230 + 0.398566i 0.799029 0.601293i \(-0.205347\pi\)
−0.0167988 + 0.999859i \(0.505347\pi\)
\(434\) 8.49247 + 0.939942i 0.407652 + 0.0451187i
\(435\) −0.467194 + 4.54137i −0.0224002 + 0.217742i
\(436\) 0.544504 0.657455i 0.0260770 0.0314864i
\(437\) 28.9446 + 21.0295i 1.38461 + 1.00598i
\(438\) −33.4240 3.69936i −1.59706 0.176762i
\(439\) 22.8738 + 31.4830i 1.09171 + 1.50260i 0.845943 + 0.533273i \(0.179038\pi\)
0.245762 + 0.969330i \(0.420962\pi\)
\(440\) −10.8106 + 8.50070i −0.515375 + 0.405255i
\(441\) −34.2850 + 47.1892i −1.63262 + 2.24711i
\(442\) 5.53293 6.07725i 0.263175 0.289065i
\(443\) −30.2430 −1.43689 −0.718444 0.695585i \(-0.755145\pi\)
−0.718444 + 0.695585i \(0.755145\pi\)
\(444\) 6.44199 + 1.44368i 0.305723 + 0.0685139i
\(445\) −34.9577 + 13.5075i −1.65715 + 0.640318i
\(446\) −7.31798 + 1.51338i −0.346516 + 0.0716607i
\(447\) 18.7339 + 36.7673i 0.886082 + 1.73903i
\(448\) 6.57973 34.1855i 0.310863 1.61511i
\(449\) 35.5434i 1.67740i −0.544595 0.838699i \(-0.683317\pi\)
0.544595 0.838699i \(-0.316683\pi\)
\(450\) 24.4061 + 24.4598i 1.15051 + 1.15305i
\(451\) 16.6212 16.6212i 0.782661 0.782661i
\(452\) −10.8472 + 13.0974i −0.510211 + 0.616049i
\(453\) 13.7677 + 4.47341i 0.646865 + 0.210179i
\(454\) 13.6565 20.7776i 0.640931 0.975139i
\(455\) −0.931029 + 9.05009i −0.0436473 + 0.424275i
\(456\) −11.8462 38.6199i −0.554747 1.80854i
\(457\) −16.5394 + 16.5394i −0.773680 + 0.773680i −0.978748 0.205068i \(-0.934259\pi\)
0.205068 + 0.978748i \(0.434259\pi\)
\(458\) −9.00297 + 9.88867i −0.420681 + 0.462067i
\(459\) −32.5256 + 5.15154i −1.51816 + 0.240453i
\(460\) −9.45789 30.0060i −0.440976 1.39904i
\(461\) −26.1064 4.13484i −1.21589 0.192579i −0.484659 0.874703i \(-0.661056\pi\)
−0.731236 + 0.682124i \(0.761056\pi\)
\(462\) 23.4888 + 29.3354i 1.09280 + 1.36480i
\(463\) −0.0954515 0.602657i −0.00443601 0.0280078i 0.985371 0.170423i \(-0.0545133\pi\)
−0.989807 + 0.142415i \(0.954513\pi\)
\(464\) −2.73722 + 0.982058i −0.127072 + 0.0455909i
\(465\) −8.42639 2.23794i −0.390764 0.103782i
\(466\) 2.58683 23.3723i 0.119833 1.08270i
\(467\) −3.79731 11.6869i −0.175718 0.540806i 0.823947 0.566667i \(-0.191767\pi\)
−0.999666 + 0.0258609i \(0.991767\pi\)
\(468\) 7.86269 + 4.65582i 0.363453 + 0.215216i
\(469\) −0.519235 + 1.01906i −0.0239760 + 0.0470556i
\(470\) 2.65206 + 4.11352i 0.122330 + 0.189743i
\(471\) 3.80565 11.7126i 0.175355 0.539688i
\(472\) 5.94787 17.3256i 0.273773 0.797477i
\(473\) 26.5970 + 4.21255i 1.22293 + 0.193693i
\(474\) 2.71630 9.91839i 0.124764 0.455567i
\(475\) −21.2647 + 13.9432i −0.975691 + 0.639757i
\(476\) 27.5626 46.5473i 1.26333 2.13349i
\(477\) 7.98364 + 10.9885i 0.365546 + 0.503130i
\(478\) 14.7784 22.4845i 0.675947 1.02841i
\(479\) −4.12623 + 12.6992i −0.188532 + 0.580243i −0.999991 0.00416652i \(-0.998674\pi\)
0.811459 + 0.584409i \(0.198674\pi\)
\(480\) −11.8299 + 33.4949i −0.539959 + 1.52883i
\(481\) −0.339603 1.04519i −0.0154846 0.0476566i
\(482\) −1.48336 0.406240i −0.0675651 0.0185037i
\(483\) −81.7642 + 26.5668i −3.72040 + 1.20883i
\(484\) −11.5146 + 4.97527i −0.523389 + 0.226149i
\(485\) −12.7547 + 2.74052i −0.579163 + 0.124441i
\(486\) 7.63242 + 20.2154i 0.346213 + 0.916990i
\(487\) 2.69301 + 17.0030i 0.122032 + 0.770480i 0.970477 + 0.241196i \(0.0775395\pi\)
−0.848445 + 0.529284i \(0.822460\pi\)
\(488\) −11.1009 + 14.7596i −0.502513 + 0.668135i
\(489\) 10.0730 7.31846i 0.455517 0.330952i
\(490\) 3.82148 + 37.5528i 0.172637 + 1.69646i
\(491\) 4.61368 + 29.1296i 0.208212 + 1.31460i 0.841320 + 0.540538i \(0.181779\pi\)
−0.633107 + 0.774064i \(0.718221\pi\)
\(492\) 13.2773 59.2461i 0.598587 2.67102i
\(493\) −4.51882 −0.203517
\(494\) −4.52711 + 4.97248i −0.203684 + 0.223722i
\(495\) −11.9252 20.5503i −0.536000 0.923668i
\(496\) −1.03463 5.45634i −0.0464563 0.244997i
\(497\) −25.3093 + 12.8958i −1.13528 + 0.578454i
\(498\) −32.5107 + 12.2745i −1.45684 + 0.550035i
\(499\) 19.9872 + 19.9872i 0.894750 + 0.894750i 0.994966 0.100216i \(-0.0319534\pi\)
−0.100216 + 0.994966i \(0.531953\pi\)
\(500\) 22.3247 + 1.26865i 0.998389 + 0.0567357i
\(501\) 38.7140 38.7140i 1.72961 1.72961i
\(502\) −3.50598 1.58417i −0.156479 0.0707050i
\(503\) −13.2327 25.9706i −0.590017 1.15797i −0.972258 0.233910i \(-0.924848\pi\)
0.382242 0.924062i \(-0.375152\pi\)
\(504\) 56.8865 + 19.5291i 2.53393 + 0.869894i
\(505\) 6.17011 3.58048i 0.274566 0.159329i
\(506\) 1.01313 + 21.6098i 0.0450393 + 0.960674i
\(507\) 34.0530i 1.51235i
\(508\) −2.85800 4.50896i −0.126803 0.200053i
\(509\) 6.74938 1.06900i 0.299161 0.0473824i −0.00504967 0.999987i \(-0.501607\pi\)
0.304211 + 0.952605i \(0.401607\pi\)
\(510\) −34.8791 + 42.7822i −1.54447 + 1.89443i
\(511\) 21.6577 + 29.8093i 0.958080 + 1.31868i
\(512\) −22.4968 + 2.42730i −0.994230 + 0.107273i
\(513\) 26.6128 4.21505i 1.17498 0.186099i
\(514\) 3.19812 + 1.44507i 0.141063 + 0.0637391i
\(515\) −2.87365 13.3744i −0.126628 0.589345i
\(516\) 63.8508 27.5890i 2.81087 1.21454i
\(517\) −1.03999 3.20074i −0.0457385 0.140769i
\(518\) −3.58219 6.28427i −0.157393 0.276115i
\(519\) 16.7426 5.43999i 0.734917 0.238789i
\(520\) 5.80115 1.14646i 0.254397 0.0502754i
\(521\) 29.1921 + 9.48508i 1.27893 + 0.415549i 0.868203 0.496210i \(-0.165275\pi\)
0.410726 + 0.911759i \(0.365275\pi\)
\(522\) −1.01748 4.92006i −0.0445341 0.215345i
\(523\) 8.89267 6.46090i 0.388849 0.282516i −0.376135 0.926565i \(-0.622747\pi\)
0.764984 + 0.644050i \(0.222747\pi\)
\(524\) 15.6391 4.00627i 0.683198 0.175015i
\(525\) 2.92874 61.0332i 0.127821 2.66371i
\(526\) 19.7848 11.2778i 0.862658 0.491737i
\(527\) 1.34998 8.52343i 0.0588060 0.371286i
\(528\) 13.7518 20.1873i 0.598470 0.878540i
\(529\) −25.1941 8.18607i −1.09540 0.355916i
\(530\) 8.59157 + 1.85590i 0.373194 + 0.0806152i
\(531\) 28.1984 + 14.3678i 1.22370 + 0.623509i
\(532\) −22.5520 + 38.0855i −0.977753 + 1.65122i
\(533\) −9.61249 + 3.12329i −0.416363 + 0.135285i
\(534\) 51.9595 41.6039i 2.24851 1.80038i
\(535\) 4.69914 17.6934i 0.203162 0.764953i
\(536\) 0.732206 + 0.128413i 0.0316265 + 0.00554661i
\(537\) 57.0440 9.03489i 2.46163 0.389884i
\(538\) 39.1077 + 4.32842i 1.68605 + 0.186611i
\(539\) 4.06034 25.6360i 0.174891 1.10422i
\(540\) −21.0158 10.9426i −0.904377 0.470893i
\(541\) 1.38568 + 8.74883i 0.0595750 + 0.376142i 0.999405 + 0.0344985i \(0.0109834\pi\)
−0.939830 + 0.341643i \(0.889017\pi\)
\(542\) −23.1477 + 1.08524i −0.994280 + 0.0466149i
\(543\) 5.22873 + 5.22873i 0.224386 + 0.224386i
\(544\) −34.1778 8.25512i −1.46536 0.353935i
\(545\) 0.949408 + 0.0976704i 0.0406682 + 0.00418374i
\(546\) −3.27248 15.8241i −0.140049 0.677210i
\(547\) −2.34708 + 7.22358i −0.100354 + 0.308858i −0.988612 0.150487i \(-0.951916\pi\)
0.888258 + 0.459345i \(0.151916\pi\)
\(548\) −13.0498 + 15.7568i −0.557460 + 0.673099i
\(549\) −22.5616 22.5616i −0.962907 0.962907i
\(550\) −14.6180 4.76746i −0.623312 0.203285i
\(551\) 3.69735 0.157512
\(552\) 32.0932 + 45.7442i 1.36598 + 1.94700i
\(553\) −10.0396 + 5.11544i −0.426928 + 0.217531i
\(554\) 11.8933 18.0950i 0.505297 0.768781i
\(555\) 2.66031 + 6.88491i 0.112924 + 0.292248i
\(556\) −8.19250 12.9250i −0.347440 0.548144i
\(557\) 7.69362i 0.325989i 0.986627 + 0.162995i \(0.0521153\pi\)
−0.986627 + 0.162995i \(0.947885\pi\)
\(558\) 9.58422 0.449337i 0.405732 0.0190220i
\(559\) −9.36748 6.80587i −0.396202 0.287858i
\(560\) 35.8641 15.1225i 1.51553 0.639043i
\(561\) 30.7069 22.3099i 1.29645 0.941923i
\(562\) 13.6857 10.9582i 0.577298 0.462242i
\(563\) −6.63540 + 9.13285i −0.279649 + 0.384904i −0.925618 0.378460i \(-0.876454\pi\)
0.645969 + 0.763364i \(0.276454\pi\)
\(564\) −6.69500 5.54479i −0.281910 0.233478i
\(565\) −18.9135 1.94572i −0.795695 0.0818572i
\(566\) −3.45565 4.31579i −0.145252 0.181406i
\(567\) −0.432677 + 0.849176i −0.0181707 + 0.0356620i
\(568\) 12.8375 + 13.2691i 0.538648 + 0.556760i
\(569\) 7.58105 + 23.3321i 0.317814 + 0.978131i 0.974581 + 0.224037i \(0.0719237\pi\)
−0.656767 + 0.754094i \(0.728076\pi\)
\(570\) 28.5385 35.0049i 1.19535 1.46619i
\(571\) 40.8710 20.8248i 1.71040 0.871491i 0.727790 0.685800i \(-0.240547\pi\)
0.982608 0.185692i \(-0.0594525\pi\)
\(572\) −4.05800 0.257550i −0.169673 0.0107687i
\(573\) −48.6146 + 35.3206i −2.03090 + 1.47554i
\(574\) −57.7957 + 32.9450i −2.41234 + 1.37510i
\(575\) 22.0154 27.4333i 0.918107 1.14405i
\(576\) 1.29243 39.0714i 0.0538515 1.62797i
\(577\) −1.83691 0.290937i −0.0764714 0.0121119i 0.118081 0.993004i \(-0.462326\pi\)
−0.194553 + 0.980892i \(0.562326\pi\)
\(578\) −25.5664 16.8041i −1.06342 0.698956i
\(579\) −19.8327 + 10.1052i −0.824218 + 0.419960i
\(580\) −2.61341 1.93419i −0.108516 0.0803128i
\(581\) 33.9262 + 17.2862i 1.40749 + 0.717154i
\(582\) 20.1303 11.4748i 0.834428 0.475645i
\(583\) −5.38528 2.74394i −0.223035 0.113642i
\(584\) 14.3953 19.1398i 0.595681 0.792010i
\(585\) 0.557179 + 10.2011i 0.0230365 + 0.421764i
\(586\) 2.18407 + 5.78478i 0.0902231 + 0.238967i
\(587\) 3.66273 5.04131i 0.151177 0.208077i −0.726711 0.686943i \(-0.758952\pi\)
0.877888 + 0.478866i \(0.158952\pi\)
\(588\) −26.5921 61.5437i −1.09664 2.53802i
\(589\) −1.10457 + 6.97397i −0.0455129 + 0.287357i
\(590\) 19.7999 5.23527i 0.815148 0.215533i
\(591\) 25.3277 34.8606i 1.04184 1.43397i
\(592\) −3.22224 + 3.42378i −0.132433 + 0.140716i
\(593\) −14.7148 + 14.7148i −0.604265 + 0.604265i −0.941441 0.337176i \(-0.890528\pi\)
0.337176 + 0.941441i \(0.390528\pi\)
\(594\) 12.0475 + 10.9684i 0.494313 + 0.450039i
\(595\) 60.3908 3.29851i 2.47578 0.135226i
\(596\) −29.3287 1.86141i −1.20135 0.0762463i
\(597\) 21.1817 65.1905i 0.866908 2.66807i
\(598\) 3.83027 8.47690i 0.156632 0.346646i
\(599\) 19.6427i 0.802580i 0.915951 + 0.401290i \(0.131438\pi\)
−0.915951 + 0.401290i \(0.868562\pi\)
\(600\) −38.4840 + 9.81332i −1.57110 + 0.400627i
\(601\) 9.79622i 0.399596i 0.979837 + 0.199798i \(0.0640286\pi\)
−0.979837 + 0.199798i \(0.935971\pi\)
\(602\) −69.4518 31.3817i −2.83064 1.27902i
\(603\) −0.396876 + 1.22146i −0.0161621 + 0.0497417i
\(604\) −7.73710 + 6.81360i −0.314818 + 0.277242i
\(605\) −11.7783 7.61207i −0.478858 0.309474i
\(606\) −8.52993 + 9.36909i −0.346505 + 0.380593i
\(607\) 4.89345 4.89345i 0.198619 0.198619i −0.600789 0.799408i \(-0.705147\pi\)
0.799408 + 0.600789i \(0.205147\pi\)
\(608\) 27.9647 + 6.75443i 1.13412 + 0.273929i
\(609\) −5.22224 + 7.18780i −0.211616 + 0.291264i
\(610\) −20.6161 1.14880i −0.834721 0.0465134i
\(611\) −0.226375 + 1.42928i −0.00915817 + 0.0578224i
\(612\) 22.3932 56.4680i 0.905191 2.28258i
\(613\) 14.6568 20.1734i 0.591983 0.814795i −0.402962 0.915217i \(-0.632019\pi\)
0.994945 + 0.100422i \(0.0320193\pi\)
\(614\) 12.3643 4.66819i 0.498983 0.188393i
\(615\) 63.3197 24.4665i 2.55329 0.986584i
\(616\) −26.4998 + 3.74917i −1.06771 + 0.151058i
\(617\) −5.03492 2.56542i −0.202698 0.103280i 0.349695 0.936864i \(-0.386285\pi\)
−0.552393 + 0.833584i \(0.686285\pi\)
\(618\) 12.0322 + 21.1082i 0.484007 + 0.849097i
\(619\) −7.43094 3.78625i −0.298675 0.152182i 0.298231 0.954494i \(-0.403603\pi\)
−0.596906 + 0.802311i \(0.703603\pi\)
\(620\) 4.42902 4.35160i 0.177874 0.174765i
\(621\) −33.2097 + 16.9212i −1.33266 + 0.679025i
\(622\) 11.6796 17.7698i 0.468310 0.712506i
\(623\) −72.0353 11.4093i −2.88603 0.457103i
\(624\) −9.20930 + 5.04967i −0.368667 + 0.202148i
\(625\) 12.6905 + 21.5395i 0.507620 + 0.861581i
\(626\) −1.31648 2.30952i −0.0526172 0.0923068i
\(627\) −25.1247 + 18.2542i −1.00338 + 0.729002i
\(628\) 5.79652 + 6.58216i 0.231306 + 0.262657i
\(629\) −6.50952 + 3.31676i −0.259551 + 0.132248i
\(630\) 17.1893 + 65.0104i 0.684840 + 2.59007i
\(631\) −0.724352 2.22933i −0.0288360 0.0887481i 0.935603 0.353054i \(-0.114857\pi\)
−0.964439 + 0.264306i \(0.914857\pi\)
\(632\) 5.09232 + 5.26355i 0.202562 + 0.209373i
\(633\) 8.34208 16.3723i 0.331568 0.650739i
\(634\) 36.1519 28.9468i 1.43578 1.14963i
\(635\) 2.41560 5.45788i 0.0958601 0.216589i
\(636\) −15.5432 + 1.46064i −0.616329 + 0.0579181i
\(637\) −6.55996 + 9.02901i −0.259915 + 0.357742i
\(638\) 1.39736 + 1.74518i 0.0553221 + 0.0690922i
\(639\) −25.8056 + 18.7488i −1.02085 + 0.741692i
\(640\) −16.2330 19.4034i −0.641664 0.766986i
\(641\) −17.1054 12.4278i −0.675622 0.490868i 0.196281 0.980548i \(-0.437114\pi\)
−0.871902 + 0.489680i \(0.837114\pi\)
\(642\) 1.52274 + 32.4796i 0.0600978 + 1.28187i
\(643\) 26.6368i 1.05045i −0.850963 0.525226i \(-0.823981\pi\)
0.850963 0.525226i \(-0.176019\pi\)
\(644\) 13.3891 59.7450i 0.527605 2.35428i
\(645\) 65.3135 + 42.2106i 2.57172 + 1.66204i
\(646\) 37.3570 + 24.5537i 1.46979 + 0.966052i
\(647\) 1.35896 0.692424i 0.0534261 0.0272220i −0.427073 0.904217i \(-0.640455\pi\)
0.480499 + 0.876995i \(0.340455\pi\)
\(648\) 0.610145 + 0.107006i 0.0239688 + 0.00420361i
\(649\) −14.0828 −0.552797
\(650\) 4.66977 + 4.68005i 0.183163 + 0.183567i
\(651\) −11.9975 11.9975i −0.470221 0.470221i
\(652\) 0.829619 + 8.82830i 0.0324904 + 0.345743i
\(653\) 2.40568 7.40393i 0.0941416 0.289738i −0.892887 0.450280i \(-0.851324\pi\)
0.987029 + 0.160542i \(0.0513242\pi\)
\(654\) −1.66005 + 0.343303i −0.0649129 + 0.0134242i
\(655\) 13.4401 + 12.0480i 0.525149 + 0.470753i
\(656\) 31.4880 + 29.6345i 1.22940 + 1.15703i
\(657\) 29.2573 + 29.2573i 1.14144 + 1.14144i
\(658\) 0.446065 + 9.51442i 0.0173894 + 0.370911i
\(659\) 3.12901 + 19.7558i 0.121889 + 0.769575i 0.970596 + 0.240713i \(0.0773812\pi\)
−0.848708 + 0.528862i \(0.822619\pi\)
\(660\) 27.3083 + 0.240781i 1.06297 + 0.00937241i
\(661\) −5.68740 + 35.9088i −0.221214 + 1.39669i 0.587849 + 0.808970i \(0.299975\pi\)
−0.809064 + 0.587721i \(0.800025\pi\)
\(662\) 4.71814 42.6289i 0.183376 1.65682i
\(663\) −16.1194 + 2.55307i −0.626028 + 0.0991530i
\(664\) 4.27510 24.3764i 0.165906 0.945989i
\(665\) −49.4124 + 2.69888i −1.91613 + 0.104658i
\(666\) −5.07699 6.34069i −0.196729 0.245697i
\(667\) −4.86420 + 1.58047i −0.188342 + 0.0611962i
\(668\) 9.67597 + 37.7717i 0.374374 + 1.46143i
\(669\) 13.2220 + 6.73692i 0.511190 + 0.260464i
\(670\) 0.335537 + 0.760385i 0.0129629 + 0.0293762i
\(671\) 13.5032 + 4.38746i 0.521286 + 0.169376i
\(672\) −52.6290 + 44.8244i −2.03021 + 1.72914i
\(673\) 7.01096 44.2655i 0.270253 1.70631i −0.362524 0.931975i \(-0.618085\pi\)
0.632776 0.774334i \(-0.281915\pi\)
\(674\) 17.7296 + 31.1031i 0.682918 + 1.19805i
\(675\) −2.88520 26.3331i −0.111051 1.01356i
\(676\) −20.8676 12.3566i −0.802600 0.475252i
\(677\) 33.1722 24.1010i 1.27491 0.926276i 0.275524 0.961294i \(-0.411149\pi\)
0.999387 + 0.0350178i \(0.0111488\pi\)
\(678\) 33.0703 6.83904i 1.27006 0.262652i
\(679\) −24.1459 7.84549i −0.926636 0.301082i
\(680\) −13.5605 36.8979i −0.520020 1.41497i
\(681\) −46.9573 + 15.2573i −1.79941 + 0.584663i
\(682\) −3.70922 + 2.11435i −0.142033 + 0.0809626i
\(683\) −2.89358 8.90553i −0.110720 0.340761i 0.880310 0.474398i \(-0.157334\pi\)
−0.991030 + 0.133637i \(0.957334\pi\)
\(684\) −18.3224 + 46.2027i −0.700574 + 1.76661i
\(685\) −22.7539 2.34081i −0.869382 0.0894377i
\(686\) −12.5095 + 27.6851i −0.477614 + 1.05702i
\(687\) 26.2290 4.15426i 1.00070 0.158495i
\(688\) −6.26260 + 49.1386i −0.238759 + 1.87339i
\(689\) 1.52756 + 2.10251i 0.0581954 + 0.0800991i
\(690\) −22.5817 + 58.2511i −0.859672 + 2.21758i
\(691\) 2.11737 0.335359i 0.0805486 0.0127576i −0.116030 0.993246i \(-0.537017\pi\)
0.196579 + 0.980488i \(0.437017\pi\)
\(692\) −2.74164 + 12.2338i −0.104222 + 0.465058i
\(693\) 46.2390i 1.75647i
\(694\) −0.0212693 0.000997171i −0.000807372 3.78521e-5i
\(695\) 6.92436 15.6451i 0.262656 0.593454i
\(696\) 5.46185 + 1.87505i 0.207031 + 0.0710736i
\(697\) 30.5039 + 59.8672i 1.15542 + 2.26763i
\(698\) −5.32550 + 11.7860i −0.201573 + 0.446108i
\(699\) −33.0187 + 33.0187i −1.24888 + 1.24888i
\(700\) 36.3382 + 23.9414i 1.37346 + 0.904899i
\(701\) 7.69096 + 7.69096i 0.290483 + 0.290483i 0.837271 0.546788i \(-0.184150\pi\)
−0.546788 + 0.837271i \(0.684150\pi\)
\(702\) −2.47448 6.55397i −0.0933931 0.247364i
\(703\) 5.32616 2.71382i 0.200880 0.102353i
\(704\) 7.38072 + 15.7523i 0.278171 + 0.593687i
\(705\) 0.994597 9.66801i 0.0374587 0.364118i
\(706\) −16.1231 14.6790i −0.606800 0.552451i
\(707\) 13.8830 0.522122
\(708\) −30.7237 + 19.4742i −1.15467 + 0.731884i
\(709\) 7.46451 + 47.1290i 0.280335 + 1.76997i 0.578724 + 0.815524i \(0.303551\pi\)
−0.298388 + 0.954445i \(0.596449\pi\)
\(710\) −4.35841 + 20.1765i −0.163568 + 0.757211i
\(711\) −10.2365 + 7.43723i −0.383897 + 0.278918i
\(712\) 6.64062 + 46.9371i 0.248868 + 1.75904i
\(713\) −1.52794 9.64704i −0.0572218 0.361284i
\(714\) −100.497 + 37.9432i −3.76102 + 1.41999i
\(715\) −2.28173 3.93202i −0.0853319 0.147049i
\(716\) −15.1626 + 38.2349i −0.566653 + 1.42890i
\(717\) −50.8149 + 16.5107i −1.89772 + 0.616605i
\(718\) 9.12993 33.3373i 0.340726 1.24414i
\(719\) −12.5142 38.5147i −0.466700 1.43635i −0.856832 0.515595i \(-0.827571\pi\)
0.390132 0.920759i \(-0.372429\pi\)
\(720\) 37.1208 23.0727i 1.38341 0.859868i
\(721\) 8.22661 25.3189i 0.306375 0.942925i
\(722\) −8.11183 5.33167i −0.301891 0.198424i
\(723\) 1.79514 + 2.47080i 0.0667621 + 0.0918901i
\(724\) −5.10146 + 1.30684i −0.189594 + 0.0485683i
\(725\) 0.174232 3.63089i 0.00647082 0.134848i
\(726\) 24.0238 + 6.57928i 0.891608 + 0.244180i
\(727\) −29.3341 4.64606i −1.08794 0.172313i −0.413400 0.910550i \(-0.635659\pi\)
−0.674542 + 0.738237i \(0.735659\pi\)
\(728\) 10.8844 + 3.73662i 0.403405 + 0.138488i
\(729\) 13.4627 41.4339i 0.498618 1.53459i
\(730\) 26.7344 + 1.48973i 0.989483 + 0.0551372i
\(731\) −34.9454 + 68.5842i −1.29250 + 2.53668i
\(732\) 35.5265 9.10082i 1.31310 0.336376i
\(733\) −9.26838 28.5252i −0.342336 1.05360i −0.962995 0.269520i \(-0.913135\pi\)
0.620659 0.784080i \(-0.286865\pi\)
\(734\) −7.92780 0.877445i −0.292620 0.0323871i
\(735\) 40.6855 62.9536i 1.50071 2.32208i
\(736\) −39.6773 + 3.06776i −1.46253 + 0.113079i
\(737\) −0.0894027 0.564466i −0.00329319 0.0207924i
\(738\) −58.3146 + 46.6924i −2.14659 + 1.71877i
\(739\) 21.4933 + 3.40420i 0.790643 + 0.125226i 0.538679 0.842511i \(-0.318924\pi\)
0.251964 + 0.967737i \(0.418924\pi\)
\(740\) −5.18438 0.868049i −0.190582 0.0319101i
\(741\) 13.1891 2.08895i 0.484514 0.0767396i
\(742\) 12.6488 + 11.5158i 0.464350 + 0.422760i
\(743\) −2.44287 + 2.44287i −0.0896201 + 0.0896201i −0.750496 0.660875i \(-0.770185\pi\)
0.660875 + 0.750496i \(0.270185\pi\)
\(744\) −5.16844 + 9.74202i −0.189484 + 0.357160i
\(745\) −16.4910 28.4183i −0.604182 1.04116i
\(746\) −7.58916 4.98813i −0.277859 0.182629i
\(747\) 40.6645 + 13.2127i 1.48784 + 0.483428i
\(748\) 2.52904 + 26.9125i 0.0924709 + 0.984019i
\(749\) 25.1920 25.1920i 0.920496 0.920496i
\(750\) −33.0308 29.6751i −1.20612 1.08358i
\(751\) 10.2623i 0.374477i 0.982315 + 0.187238i \(0.0599536\pi\)
−0.982315 + 0.187238i \(0.940046\pi\)
\(752\) 5.82720 2.09068i 0.212496 0.0762392i
\(753\) 3.46840 + 6.80712i 0.126395 + 0.248065i
\(754\) −0.194682 0.941386i −0.00708989 0.0342833i
\(755\) −11.1403 2.95871i −0.405436 0.107679i
\(756\) −24.6860 38.9463i −0.897822 1.41646i
\(757\) 41.7483 1.51737 0.758684 0.651459i \(-0.225843\pi\)
0.758684 + 0.651459i \(0.225843\pi\)
\(758\) 35.4128 + 32.2410i 1.28625 + 1.17105i
\(759\) 25.2509 34.7548i 0.916549 1.26152i
\(760\) 11.0953 + 30.1903i 0.402470 + 1.09512i
\(761\) 16.6060 + 22.8562i 0.601966 + 0.828535i 0.995886 0.0906095i \(-0.0288815\pi\)
−0.393921 + 0.919144i \(0.628882\pi\)
\(762\) −1.16618 + 10.5366i −0.0422464 + 0.381700i
\(763\) 1.50266 + 1.09175i 0.0544001 + 0.0395240i
\(764\) −4.00393 42.6074i −0.144857 1.54148i
\(765\) 66.4007 14.2670i 2.40072 0.515826i
\(766\) 2.87313 25.9590i 0.103811 0.937938i
\(767\) 5.39537 + 2.74908i 0.194815 + 0.0992634i
\(768\) 37.8850 + 24.1597i 1.36706 + 0.871789i
\(769\) 33.8148 10.9871i 1.21939 0.396205i 0.372532 0.928019i \(-0.378490\pi\)
0.846861 + 0.531814i \(0.178490\pi\)
\(770\) −19.9486 22.3030i −0.718898 0.803745i
\(771\) −3.16384 6.20939i −0.113943 0.223626i
\(772\) 1.00406 15.8202i 0.0361371 0.569382i
\(773\) −27.1126 37.3173i