Properties

Label 29.3.f.a.15.4
Level $29$
Weight $3$
Character 29.15
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 15.4
Character \(\chi\) \(=\) 29.15
Dual form 29.3.f.a.2.4

$q$-expansion

\(f(q)\) \(=\) \(q+(2.58169 - 0.290886i) q^{2} +(-2.11401 + 1.32832i) q^{3} +(2.68078 - 0.611870i) q^{4} +(-2.49104 - 1.98654i) q^{5} +(-5.07133 + 4.04425i) q^{6} +(1.30161 - 5.70272i) q^{7} +(-3.06598 + 1.07283i) q^{8} +(-1.20034 + 2.49253i) q^{9} +O(q^{10})\) \(q+(2.58169 - 0.290886i) q^{2} +(-2.11401 + 1.32832i) q^{3} +(2.68078 - 0.611870i) q^{4} +(-2.49104 - 1.98654i) q^{5} +(-5.07133 + 4.04425i) q^{6} +(1.30161 - 5.70272i) q^{7} +(-3.06598 + 1.07283i) q^{8} +(-1.20034 + 2.49253i) q^{9} +(-7.00893 - 4.40400i) q^{10} +(16.1070 + 5.63608i) q^{11} +(-4.85444 + 4.85444i) q^{12} +(2.84196 + 5.90140i) q^{13} +(1.70150 - 15.1013i) q^{14} +(7.90485 + 0.890663i) q^{15} +(-17.5130 + 8.43380i) q^{16} +(-14.7807 - 14.7807i) q^{17} +(-2.37386 + 6.78410i) q^{18} +(9.65814 - 15.3708i) q^{19} +(-7.89342 - 3.80127i) q^{20} +(4.82344 + 13.7846i) q^{21} +(43.2227 + 9.86529i) q^{22} +(18.5750 + 23.2923i) q^{23} +(5.05646 - 6.34060i) q^{24} +(-3.30408 - 14.4761i) q^{25} +(9.05369 + 14.4089i) q^{26} +(-3.28922 - 29.1927i) q^{27} -16.0841i q^{28} +(-19.9272 + 21.0691i) q^{29} +20.6669 q^{30} +(-13.3687 + 1.50629i) q^{31} +(-31.7582 + 19.9550i) q^{32} +(-41.5370 + 9.48054i) q^{33} +(-42.4586 - 33.8596i) q^{34} +(-14.5710 + 11.6200i) q^{35} +(-1.69274 + 7.41637i) q^{36} +(17.2522 - 6.03682i) q^{37} +(20.4631 - 42.4921i) q^{38} +(-13.8469 - 8.70059i) q^{39} +(9.76869 + 3.41821i) q^{40} +(-44.4102 + 44.4102i) q^{41} +(16.4624 + 34.1844i) q^{42} +(7.00239 - 62.1479i) q^{43} +(46.6278 + 5.25369i) q^{44} +(7.94160 - 3.82447i) q^{45} +(54.7302 + 54.7302i) q^{46} +(-16.6790 + 47.6658i) q^{47} +(25.8198 - 41.0920i) q^{48} +(13.3206 + 6.41487i) q^{49} +(-12.7410 - 36.4117i) q^{50} +(50.8801 + 11.6131i) q^{51} +(11.2296 + 14.0814i) q^{52} +(12.0961 - 15.1681i) q^{53} +(-16.9835 - 74.4095i) q^{54} +(-28.9269 - 46.0368i) q^{55} +(2.12736 + 18.8808i) q^{56} +45.3233i q^{57} +(-45.3170 + 60.1904i) q^{58} +47.9911 q^{59} +(21.7361 - 2.44907i) q^{60} +(41.0683 - 25.8049i) q^{61} +(-34.0756 + 7.77754i) q^{62} +(12.6518 + 10.0895i) q^{63} +(-15.3963 + 12.2781i) q^{64} +(4.64390 - 20.3463i) q^{65} +(-104.478 + 36.5583i) q^{66} +(-6.15092 + 12.7725i) q^{67} +(-48.6676 - 30.5799i) q^{68} +(-70.2075 - 24.5667i) q^{69} +(-34.2377 + 34.2377i) q^{70} +(-11.6321 - 24.1543i) q^{71} +(1.00615 - 8.92982i) q^{72} +(-12.2617 - 1.38156i) q^{73} +(42.7839 - 20.6036i) q^{74} +(26.2138 + 26.2138i) q^{75} +(16.4864 - 47.1153i) q^{76} +(53.1060 - 84.5178i) q^{77} +(-38.2793 - 18.4343i) q^{78} +(33.5205 + 95.7961i) q^{79} +(60.3795 + 13.7812i) q^{80} +(30.2068 + 37.8781i) q^{81} +(-101.735 + 127.571i) q^{82} +(-9.73978 - 42.6728i) q^{83} +(21.3649 + 34.0021i) q^{84} +(7.45688 + 66.1816i) q^{85} -162.483i q^{86} +(14.1397 - 71.0101i) q^{87} -55.4303 q^{88} +(53.9337 - 6.07686i) q^{89} +(19.3902 - 12.1837i) q^{90} +(37.3532 - 8.52561i) q^{91} +(64.0472 + 51.0760i) q^{92} +(26.2608 - 20.9423i) q^{93} +(-29.1946 + 127.910i) q^{94} +(-54.5935 + 19.1031i) q^{95} +(40.6306 - 84.3702i) q^{96} +(-124.213 - 78.0480i) q^{97} +(36.2556 + 12.6864i) q^{98} +(-33.3820 + 33.3820i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{27}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.58169 0.290886i 1.29084 0.145443i 0.560289 0.828298i \(-0.310690\pi\)
0.730554 + 0.682854i \(0.239262\pi\)
\(3\) −2.11401 + 1.32832i −0.704671 + 0.442774i −0.836119 0.548549i \(-0.815180\pi\)
0.131447 + 0.991323i \(0.458038\pi\)
\(4\) 2.68078 0.611870i 0.670194 0.152967i
\(5\) −2.49104 1.98654i −0.498207 0.397307i 0.341892 0.939739i \(-0.388932\pi\)
−0.840100 + 0.542432i \(0.817504\pi\)
\(6\) −5.07133 + 4.04425i −0.845222 + 0.674042i
\(7\) 1.30161 5.70272i 0.185944 0.814675i −0.792782 0.609505i \(-0.791368\pi\)
0.978726 0.205170i \(-0.0657746\pi\)
\(8\) −3.06598 + 1.07283i −0.383247 + 0.134104i
\(9\) −1.20034 + 2.49253i −0.133371 + 0.276948i
\(10\) −7.00893 4.40400i −0.700893 0.440400i
\(11\) 16.1070 + 5.63608i 1.46427 + 0.512371i 0.940591 0.339543i \(-0.110272\pi\)
0.523682 + 0.851914i \(0.324558\pi\)
\(12\) −4.85444 + 4.85444i −0.404537 + 0.404537i
\(13\) 2.84196 + 5.90140i 0.218613 + 0.453954i 0.981216 0.192913i \(-0.0617934\pi\)
−0.762603 + 0.646866i \(0.776079\pi\)
\(14\) 1.70150 15.1013i 0.121536 1.07866i
\(15\) 7.90485 + 0.890663i 0.526990 + 0.0593775i
\(16\) −17.5130 + 8.43380i −1.09456 + 0.527112i
\(17\) −14.7807 14.7807i −0.869452 0.869452i 0.122959 0.992412i \(-0.460762\pi\)
−0.992412 + 0.122959i \(0.960762\pi\)
\(18\) −2.37386 + 6.78410i −0.131881 + 0.376894i
\(19\) 9.65814 15.3708i 0.508323 0.808992i −0.489697 0.871893i \(-0.662892\pi\)
0.998020 + 0.0629012i \(0.0200353\pi\)
\(20\) −7.89342 3.80127i −0.394671 0.190063i
\(21\) 4.82344 + 13.7846i 0.229688 + 0.656409i
\(22\) 43.2227 + 9.86529i 1.96467 + 0.448422i
\(23\) 18.5750 + 23.2923i 0.807608 + 1.01271i 0.999510 + 0.0312943i \(0.00996291\pi\)
−0.191902 + 0.981414i \(0.561466\pi\)
\(24\) 5.05646 6.34060i 0.210686 0.264191i
\(25\) −3.30408 14.4761i −0.132163 0.579045i
\(26\) 9.05369 + 14.4089i 0.348219 + 0.554187i
\(27\) −3.28922 29.1927i −0.121823 1.08121i
\(28\) 16.0841i 0.574434i
\(29\) −19.9272 + 21.0691i −0.687144 + 0.726521i
\(30\) 20.6669 0.688897
\(31\) −13.3687 + 1.50629i −0.431249 + 0.0485900i −0.324921 0.945741i \(-0.605338\pi\)
−0.106327 + 0.994331i \(0.533909\pi\)
\(32\) −31.7582 + 19.9550i −0.992443 + 0.623593i
\(33\) −41.5370 + 9.48054i −1.25870 + 0.287289i
\(34\) −42.4586 33.8596i −1.24878 0.995871i
\(35\) −14.5710 + 11.6200i −0.416315 + 0.332000i
\(36\) −1.69274 + 7.41637i −0.0470205 + 0.206010i
\(37\) 17.2522 6.03682i 0.466277 0.163157i −0.0869071 0.996216i \(-0.527698\pi\)
0.553184 + 0.833059i \(0.313413\pi\)
\(38\) 20.4631 42.4921i 0.538503 1.11821i
\(39\) −13.8469 8.70059i −0.355049 0.223092i
\(40\) 9.76869 + 3.41821i 0.244217 + 0.0854553i
\(41\) −44.4102 + 44.4102i −1.08318 + 1.08318i −0.0869640 + 0.996211i \(0.527717\pi\)
−0.996211 + 0.0869640i \(0.972283\pi\)
\(42\) 16.4624 + 34.1844i 0.391961 + 0.813915i
\(43\) 7.00239 62.1479i 0.162846 1.44530i −0.600663 0.799503i \(-0.705096\pi\)
0.763509 0.645797i \(-0.223475\pi\)
\(44\) 46.6278 + 5.25369i 1.05972 + 0.119402i
\(45\) 7.94160 3.82447i 0.176480 0.0849883i
\(46\) 54.7302 + 54.7302i 1.18979 + 1.18979i
\(47\) −16.6790 + 47.6658i −0.354872 + 1.01417i 0.618668 + 0.785652i \(0.287673\pi\)
−0.973541 + 0.228515i \(0.926613\pi\)
\(48\) 25.8198 41.0920i 0.537913 0.856084i
\(49\) 13.3206 + 6.41487i 0.271849 + 0.130916i
\(50\) −12.7410 36.4117i −0.254820 0.728234i
\(51\) 50.8801 + 11.6131i 0.997649 + 0.227707i
\(52\) 11.2296 + 14.0814i 0.215953 + 0.270796i
\(53\) 12.0961 15.1681i 0.228229 0.286190i −0.654511 0.756053i \(-0.727125\pi\)
0.882739 + 0.469863i \(0.155697\pi\)
\(54\) −16.9835 74.4095i −0.314509 1.37795i
\(55\) −28.9269 46.0368i −0.525943 0.837033i
\(56\) 2.12736 + 18.8808i 0.0379886 + 0.337158i
\(57\) 45.3233i 0.795146i
\(58\) −45.3170 + 60.1904i −0.781327 + 1.03777i
\(59\) 47.9911 0.813408 0.406704 0.913560i \(-0.366678\pi\)
0.406704 + 0.913560i \(0.366678\pi\)
\(60\) 21.7361 2.44907i 0.362268 0.0408178i
\(61\) 41.0683 25.8049i 0.673251 0.423031i −0.151554 0.988449i \(-0.548428\pi\)
0.824805 + 0.565417i \(0.191285\pi\)
\(62\) −34.0756 + 7.77754i −0.549607 + 0.125444i
\(63\) 12.6518 + 10.0895i 0.200823 + 0.160151i
\(64\) −15.3963 + 12.2781i −0.240567 + 0.191846i
\(65\) 4.64390 20.3463i 0.0714446 0.313019i
\(66\) −104.478 + 36.5583i −1.58299 + 0.553914i
\(67\) −6.15092 + 12.7725i −0.0918048 + 0.190635i −0.941815 0.336132i \(-0.890881\pi\)
0.850010 + 0.526766i \(0.176596\pi\)
\(68\) −48.6676 30.5799i −0.715700 0.449704i
\(69\) −70.2075 24.5667i −1.01750 0.356038i
\(70\) −34.2377 + 34.2377i −0.489110 + 0.489110i
\(71\) −11.6321 24.1543i −0.163832 0.340202i 0.802850 0.596182i \(-0.203316\pi\)
−0.966682 + 0.255980i \(0.917602\pi\)
\(72\) 1.00615 8.92982i 0.0139743 0.124025i
\(73\) −12.2617 1.38156i −0.167968 0.0189255i 0.0275798 0.999620i \(-0.491220\pi\)
−0.195548 + 0.980694i \(0.562649\pi\)
\(74\) 42.7839 20.6036i 0.578160 0.278427i
\(75\) 26.2138 + 26.2138i 0.349518 + 0.349518i
\(76\) 16.4864 47.1153i 0.216926 0.619938i
\(77\) 53.1060 84.5178i 0.689689 1.09763i
\(78\) −38.2793 18.4343i −0.490760 0.236337i
\(79\) 33.5205 + 95.7961i 0.424310 + 1.21261i 0.935557 + 0.353175i \(0.114898\pi\)
−0.511247 + 0.859434i \(0.670816\pi\)
\(80\) 60.3795 + 13.7812i 0.754744 + 0.172265i
\(81\) 30.2068 + 37.8781i 0.372923 + 0.467631i
\(82\) −101.735 + 127.571i −1.24067 + 1.55575i
\(83\) −9.73978 42.6728i −0.117347 0.514130i −0.999100 0.0424187i \(-0.986494\pi\)
0.881753 0.471711i \(-0.156363\pi\)
\(84\) 21.3649 + 34.0021i 0.254344 + 0.404787i
\(85\) 7.45688 + 66.1816i 0.0877280 + 0.778607i
\(86\) 162.483i 1.88934i
\(87\) 14.1397 71.0101i 0.162525 0.816209i
\(88\) −55.4303 −0.629890
\(89\) 53.9337 6.07686i 0.605996 0.0682794i 0.196365 0.980531i \(-0.437086\pi\)
0.409631 + 0.912251i \(0.365658\pi\)
\(90\) 19.3902 12.1837i 0.215447 0.135374i
\(91\) 37.3532 8.52561i 0.410474 0.0936881i
\(92\) 64.0472 + 51.0760i 0.696165 + 0.555173i
\(93\) 26.2608 20.9423i 0.282374 0.225186i
\(94\) −29.1946 + 127.910i −0.310581 + 1.36074i
\(95\) −54.5935 + 19.1031i −0.574669 + 0.201085i
\(96\) 40.6306 84.3702i 0.423235 0.878857i
\(97\) −124.213 78.0480i −1.28054 0.804619i −0.292126 0.956380i \(-0.594363\pi\)
−0.988417 + 0.151761i \(0.951506\pi\)
\(98\) 36.2556 + 12.6864i 0.369955 + 0.129453i
\(99\) −33.3820 + 33.3820i −0.337192 + 0.337192i
\(100\) −17.7150 36.7856i −0.177150 0.367856i
\(101\) −15.1390 + 134.362i −0.149891 + 1.33032i 0.663314 + 0.748342i \(0.269150\pi\)
−0.813205 + 0.581978i \(0.802279\pi\)
\(102\) 134.735 + 15.1809i 1.32093 + 0.148833i
\(103\) 42.8611 20.6408i 0.416127 0.200396i −0.214092 0.976813i \(-0.568679\pi\)
0.630219 + 0.776417i \(0.282965\pi\)
\(104\) −15.0446 15.0446i −0.144660 0.144660i
\(105\) 15.3682 43.9199i 0.146364 0.418285i
\(106\) 26.8162 42.6778i 0.252983 0.402620i
\(107\) 119.175 + 57.3917i 1.11379 + 0.536371i 0.897967 0.440063i \(-0.145044\pi\)
0.215818 + 0.976434i \(0.430758\pi\)
\(108\) −26.6798 76.2465i −0.247035 0.705986i
\(109\) −42.9080 9.79348i −0.393652 0.0898485i 0.0211130 0.999777i \(-0.493279\pi\)
−0.414765 + 0.909929i \(0.636136\pi\)
\(110\) −88.0715 110.438i −0.800650 1.00398i
\(111\) −28.4526 + 35.6785i −0.256330 + 0.321428i
\(112\) 25.3006 + 110.849i 0.225898 + 0.989724i
\(113\) −48.1620 76.6493i −0.426212 0.678313i 0.562726 0.826644i \(-0.309753\pi\)
−0.988938 + 0.148331i \(0.952610\pi\)
\(114\) 13.1839 + 117.011i 0.115648 + 1.02641i
\(115\) 94.9218i 0.825407i
\(116\) −40.5287 + 68.6744i −0.349386 + 0.592021i
\(117\) −18.1207 −0.154878
\(118\) 123.898 13.9599i 1.04998 0.118305i
\(119\) −103.529 + 65.0515i −0.869991 + 0.546651i
\(120\) −25.1916 + 5.74983i −0.209930 + 0.0479152i
\(121\) 133.068 + 106.119i 1.09974 + 0.877012i
\(122\) 98.5191 78.5664i 0.807534 0.643987i
\(123\) 34.8927 152.875i 0.283680 1.24289i
\(124\) −34.9169 + 12.2179i −0.281588 + 0.0985317i
\(125\) −55.0873 + 114.390i −0.440698 + 0.915120i
\(126\) 35.5980 + 22.3677i 0.282524 + 0.177521i
\(127\) −198.494 69.4561i −1.56295 0.546898i −0.596244 0.802804i \(-0.703341\pi\)
−0.966702 + 0.255905i \(0.917626\pi\)
\(128\) 69.9093 69.9093i 0.546166 0.546166i
\(129\) 67.7494 + 140.683i 0.525189 + 1.09057i
\(130\) 6.07065 53.8785i 0.0466973 0.414450i
\(131\) −164.999 18.5909i −1.25953 0.141915i −0.543158 0.839631i \(-0.682772\pi\)
−0.716375 + 0.697715i \(0.754200\pi\)
\(132\) −105.550 + 50.8304i −0.799625 + 0.385079i
\(133\) −75.0845 75.0845i −0.564545 0.564545i
\(134\) −12.1644 + 34.7638i −0.0907791 + 0.259432i
\(135\) −49.7987 + 79.2542i −0.368879 + 0.587068i
\(136\) 61.1745 + 29.4601i 0.449813 + 0.216618i
\(137\) −56.9427 162.733i −0.415640 1.18783i −0.941428 0.337215i \(-0.890515\pi\)
0.525788 0.850616i \(-0.323771\pi\)
\(138\) −188.400 43.0010i −1.36522 0.311602i
\(139\) 97.5376 + 122.308i 0.701709 + 0.879915i 0.997150 0.0754457i \(-0.0240379\pi\)
−0.295441 + 0.955361i \(0.595467\pi\)
\(140\) −31.9517 + 40.0662i −0.228227 + 0.286187i
\(141\) −28.0560 122.921i −0.198979 0.871783i
\(142\) −37.0566 58.9752i −0.260962 0.415319i
\(143\) 12.5147 + 111.071i 0.0875156 + 0.776723i
\(144\) 53.7751i 0.373438i
\(145\) 91.4939 12.8979i 0.630992 0.0889512i
\(146\) −32.0577 −0.219573
\(147\) −36.6810 + 4.13295i −0.249530 + 0.0281153i
\(148\) 42.5557 26.7395i 0.287538 0.180672i
\(149\) 101.993 23.2793i 0.684519 0.156237i 0.133901 0.990995i \(-0.457249\pi\)
0.550617 + 0.834758i \(0.314392\pi\)
\(150\) 75.3012 + 60.0507i 0.502008 + 0.400338i
\(151\) −87.2999 + 69.6194i −0.578145 + 0.461055i −0.868379 0.495900i \(-0.834838\pi\)
0.290234 + 0.956956i \(0.406267\pi\)
\(152\) −13.1213 + 57.4883i −0.0863245 + 0.378212i
\(153\) 54.5832 19.0995i 0.356753 0.124833i
\(154\) 112.518 233.646i 0.730637 1.51718i
\(155\) 36.2942 + 22.8052i 0.234156 + 0.147130i
\(156\) −42.4441 14.8518i −0.272078 0.0952041i
\(157\) 154.052 154.052i 0.981223 0.981223i −0.0186037 0.999827i \(-0.505922\pi\)
0.999827 + 0.0186037i \(0.00592209\pi\)
\(158\) 114.405 + 237.565i 0.724083 + 1.50357i
\(159\) −5.42329 + 48.1331i −0.0341088 + 0.302724i
\(160\) 118.752 + 13.3801i 0.742201 + 0.0836259i
\(161\) 157.007 75.6105i 0.975198 0.469631i
\(162\) 89.0027 + 89.0027i 0.549399 + 0.549399i
\(163\) −18.9751 + 54.2278i −0.116412 + 0.332686i −0.987316 0.158767i \(-0.949248\pi\)
0.870904 + 0.491453i \(0.163534\pi\)
\(164\) −91.8805 + 146.227i −0.560247 + 0.891628i
\(165\) 122.304 + 58.8983i 0.741234 + 0.356959i
\(166\) −37.5580 107.335i −0.226253 0.646594i
\(167\) 131.159 + 29.9362i 0.785384 + 0.179259i 0.596364 0.802714i \(-0.296612\pi\)
0.189020 + 0.981973i \(0.439469\pi\)
\(168\) −29.5771 37.0885i −0.176054 0.220765i
\(169\) 78.6200 98.5864i 0.465207 0.583352i
\(170\) 38.5026 + 168.691i 0.226486 + 0.992300i
\(171\) 26.7193 + 42.5235i 0.156253 + 0.248675i
\(172\) −19.2546 170.889i −0.111945 0.993542i
\(173\) 21.1826i 0.122443i 0.998124 + 0.0612213i \(0.0194995\pi\)
−0.998124 + 0.0612213i \(0.980500\pi\)
\(174\) 15.8484 187.439i 0.0910830 1.07724i
\(175\) −86.8540 −0.496308
\(176\) −329.615 + 37.1387i −1.87281 + 0.211015i
\(177\) −101.454 + 63.7477i −0.573186 + 0.360156i
\(178\) 137.472 31.3771i 0.772315 0.176276i
\(179\) −71.5446 57.0549i −0.399690 0.318742i 0.402932 0.915230i \(-0.367991\pi\)
−0.802622 + 0.596487i \(0.796563\pi\)
\(180\) 18.9496 15.1118i 0.105275 0.0839543i
\(181\) −43.7618 + 191.733i −0.241778 + 1.05930i 0.697620 + 0.716468i \(0.254242\pi\)
−0.939398 + 0.342829i \(0.888615\pi\)
\(182\) 93.9541 32.8760i 0.516232 0.180637i
\(183\) −52.5417 + 109.104i −0.287113 + 0.596196i
\(184\) −81.9393 51.4858i −0.445322 0.279814i
\(185\) −54.9684 19.2343i −0.297126 0.103969i
\(186\) 61.7053 61.7053i 0.331749 0.331749i
\(187\) −154.767 321.378i −0.827633 1.71860i
\(188\) −15.5474 + 137.987i −0.0826988 + 0.733973i
\(189\) −170.759 19.2399i −0.903487 0.101799i
\(190\) −135.387 + 65.1987i −0.712561 + 0.343151i
\(191\) −173.129 173.129i −0.906436 0.906436i 0.0895465 0.995983i \(-0.471458\pi\)
−0.995983 + 0.0895465i \(0.971458\pi\)
\(192\) 16.2386 46.4074i 0.0845762 0.241705i
\(193\) −107.871 + 171.676i −0.558917 + 0.889511i −0.999968 0.00797056i \(-0.997463\pi\)
0.441051 + 0.897482i \(0.354606\pi\)
\(194\) −343.381 165.364i −1.77001 0.852390i
\(195\) 17.2091 + 49.1809i 0.0882520 + 0.252210i
\(196\) 39.6346 + 9.04635i 0.202218 + 0.0461548i
\(197\) 39.4510 + 49.4700i 0.200259 + 0.251117i 0.871813 0.489839i \(-0.162944\pi\)
−0.671554 + 0.740956i \(0.734373\pi\)
\(198\) −76.4715 + 95.8922i −0.386220 + 0.484304i
\(199\) −10.0083 43.8490i −0.0502928 0.220347i 0.943536 0.331269i \(-0.107477\pi\)
−0.993829 + 0.110922i \(0.964620\pi\)
\(200\) 25.6607 + 40.8388i 0.128304 + 0.204194i
\(201\) −3.96290 35.1717i −0.0197159 0.174984i
\(202\) 351.285i 1.73903i
\(203\) 94.2140 + 141.063i 0.464108 + 0.694891i
\(204\) 143.504 0.703450
\(205\) 198.850 22.4050i 0.970000 0.109293i
\(206\) 104.650 65.7557i 0.508008 0.319203i
\(207\) −80.3531 + 18.3401i −0.388179 + 0.0885994i
\(208\) −99.5424 79.3824i −0.478569 0.381646i
\(209\) 242.195 193.144i 1.15883 0.924134i
\(210\) 26.9003 117.858i 0.128096 0.561227i
\(211\) 267.044 93.4429i 1.26561 0.442857i 0.387748 0.921765i \(-0.373253\pi\)
0.877865 + 0.478908i \(0.158967\pi\)
\(212\) 23.1461 48.0634i 0.109180 0.226714i
\(213\) 56.6752 + 35.6114i 0.266081 + 0.167189i
\(214\) 324.367 + 113.501i 1.51573 + 0.530378i
\(215\) −140.902 + 140.902i −0.655359 + 0.655359i
\(216\) 41.4036 + 85.9754i 0.191683 + 0.398034i
\(217\) −8.81087 + 78.1986i −0.0406031 + 0.360362i
\(218\) −113.624 12.8023i −0.521210 0.0587263i
\(219\) 27.7565 13.3668i 0.126742 0.0610358i
\(220\) −105.715 105.715i −0.480523 0.480523i
\(221\) 45.2205 129.233i 0.204618 0.584764i
\(222\) −63.0774 + 100.387i −0.284133 + 0.452194i
\(223\) −9.38970 4.52184i −0.0421063 0.0202773i 0.412712 0.910862i \(-0.364582\pi\)
−0.454818 + 0.890584i \(0.650296\pi\)
\(224\) 72.4610 + 207.082i 0.323487 + 0.924472i
\(225\) 40.0482 + 9.14075i 0.177992 + 0.0406255i
\(226\) −146.635 183.875i −0.648829 0.813605i
\(227\) 41.9912 52.6552i 0.184983 0.231961i −0.680690 0.732572i \(-0.738320\pi\)
0.865673 + 0.500611i \(0.166891\pi\)
\(228\) 27.7320 + 121.502i 0.121631 + 0.532902i
\(229\) −137.469 218.781i −0.600303 0.955376i −0.999262 0.0384078i \(-0.987771\pi\)
0.398959 0.916969i \(-0.369371\pi\)
\(230\) −27.6114 245.058i −0.120050 1.06547i
\(231\) 249.214i 1.07885i
\(232\) 38.4927 85.9760i 0.165917 0.370586i
\(233\) 139.905 0.600452 0.300226 0.953868i \(-0.402938\pi\)
0.300226 + 0.953868i \(0.402938\pi\)
\(234\) −46.7821 + 5.27107i −0.199923 + 0.0225260i
\(235\) 136.238 85.6040i 0.579736 0.364272i
\(236\) 128.653 29.3643i 0.545141 0.124425i
\(237\) −198.111 157.988i −0.835911 0.666617i
\(238\) −248.356 + 198.058i −1.04351 + 0.832175i
\(239\) 22.0091 96.4282i 0.0920883 0.403465i −0.907784 0.419438i \(-0.862227\pi\)
0.999872 + 0.0159726i \(0.00508444\pi\)
\(240\) −145.949 + 51.0698i −0.608121 + 0.212791i
\(241\) −158.413 + 328.947i −0.657314 + 1.36493i 0.259552 + 0.965729i \(0.416425\pi\)
−0.916865 + 0.399197i \(0.869289\pi\)
\(242\) 374.409 + 235.257i 1.54715 + 0.972136i
\(243\) 135.388 + 47.3741i 0.557150 + 0.194955i
\(244\) 94.3057 94.3057i 0.386499 0.386499i
\(245\) −20.4388 42.4415i −0.0834235 0.173231i
\(246\) 45.6128 404.825i 0.185418 1.64563i
\(247\) 118.158 + 13.3132i 0.478371 + 0.0538994i
\(248\) 39.3722 18.9606i 0.158759 0.0764542i
\(249\) 77.2733 + 77.2733i 0.310334 + 0.310334i
\(250\) −108.944 + 311.343i −0.435775 + 1.24537i
\(251\) 117.710 187.335i 0.468965 0.746353i −0.525571 0.850750i \(-0.676148\pi\)
0.994536 + 0.104396i \(0.0332911\pi\)
\(252\) 40.0902 + 19.3064i 0.159088 + 0.0766129i
\(253\) 167.910 + 479.859i 0.663676 + 1.89668i
\(254\) −532.653 121.575i −2.09706 0.478640i
\(255\) −103.675 130.004i −0.406567 0.509819i
\(256\) 209.261 262.405i 0.817425 1.02502i
\(257\) −29.0472 127.264i −0.113024 0.495191i −0.999476 0.0323701i \(-0.989694\pi\)
0.886452 0.462821i \(-0.153163\pi\)
\(258\) 215.830 + 343.492i 0.836552 + 1.33136i
\(259\) −11.9706 106.242i −0.0462187 0.410202i
\(260\) 57.3852i 0.220712i
\(261\) −28.5961 74.9592i −0.109564 0.287200i
\(262\) −431.383 −1.64650
\(263\) 53.5898 6.03812i 0.203763 0.0229586i −0.00949275 0.999955i \(-0.503022\pi\)
0.213256 + 0.976996i \(0.431593\pi\)
\(264\) 117.180 73.6294i 0.443865 0.278899i
\(265\) −60.2638 + 13.7548i −0.227411 + 0.0519050i
\(266\) −215.686 172.004i −0.810849 0.646630i
\(267\) −105.944 + 84.4879i −0.396796 + 0.316434i
\(268\) −8.67412 + 38.0038i −0.0323661 + 0.141805i
\(269\) 23.6596 8.27885i 0.0879538 0.0307764i −0.285943 0.958246i \(-0.592307\pi\)
0.373897 + 0.927470i \(0.378021\pi\)
\(270\) −105.511 + 219.095i −0.390780 + 0.811464i
\(271\) 261.030 + 164.016i 0.963211 + 0.605226i 0.919194 0.393805i \(-0.128841\pi\)
0.0440174 + 0.999031i \(0.485984\pi\)
\(272\) 383.511 + 134.196i 1.40997 + 0.493369i
\(273\) −67.6403 + 67.6403i −0.247767 + 0.247767i
\(274\) −194.345 403.561i −0.709288 1.47285i
\(275\) 28.3698 251.789i 0.103163 0.915596i
\(276\) −203.242 22.8999i −0.736384 0.0829706i
\(277\) −448.792 + 216.127i −1.62019 + 0.780241i −0.999991 0.00420714i \(-0.998661\pi\)
−0.620195 + 0.784448i \(0.712947\pi\)
\(278\) 287.389 + 287.389i 1.03377 + 1.03377i
\(279\) 12.2925 35.1300i 0.0440592 0.125914i
\(280\) 32.2081 51.2590i 0.115029 0.183068i
\(281\) −360.665 173.687i −1.28350 0.618103i −0.337216 0.941427i \(-0.609485\pi\)
−0.946288 + 0.323325i \(0.895199\pi\)
\(282\) −108.188 309.183i −0.383645 1.09639i
\(283\) 72.2136 + 16.4823i 0.255172 + 0.0582413i 0.348193 0.937423i \(-0.386795\pi\)
−0.0930214 + 0.995664i \(0.529652\pi\)
\(284\) −45.9624 57.6350i −0.161839 0.202940i
\(285\) 90.0364 112.902i 0.315917 0.396148i
\(286\) 64.6182 + 283.111i 0.225938 + 0.989898i
\(287\) 195.454 + 311.064i 0.681026 + 1.08385i
\(288\) −11.6178 103.111i −0.0403397 0.358024i
\(289\) 147.938i 0.511895i
\(290\) 232.457 59.9127i 0.801575 0.206596i
\(291\) 366.260 1.25863
\(292\) −33.7161 + 3.79890i −0.115466 + 0.0130099i
\(293\) −381.722 + 239.852i −1.30281 + 0.818608i −0.991298 0.131636i \(-0.957977\pi\)
−0.311508 + 0.950243i \(0.600834\pi\)
\(294\) −93.4965 + 21.3400i −0.318015 + 0.0725849i
\(295\) −119.548 95.3360i −0.405246 0.323173i
\(296\) −46.4185 + 37.0176i −0.156819 + 0.125059i
\(297\) 111.553 488.745i 0.375599 1.64561i
\(298\) 256.543 89.7683i 0.860882 0.301236i
\(299\) −84.6676 + 175.814i −0.283169 + 0.588007i
\(300\) 86.3129 + 54.2340i 0.287710 + 0.180780i
\(301\) −345.298 120.825i −1.14717 0.401412i
\(302\) −205.130 + 205.130i −0.679237 + 0.679237i
\(303\) −146.472 304.153i −0.483407 1.00381i
\(304\) −39.5081 + 350.644i −0.129961 + 1.15343i
\(305\) −153.565 17.3026i −0.503492 0.0567299i
\(306\) 135.361 65.1864i 0.442356 0.213027i
\(307\) −14.8497 14.8497i −0.0483703 0.0483703i 0.682508 0.730878i \(-0.260889\pi\)
−0.730878 + 0.682508i \(0.760889\pi\)
\(308\) 90.6515 259.067i 0.294323 0.841127i
\(309\) −63.1912 + 100.568i −0.204502 + 0.325464i
\(310\) 100.334 + 48.3183i 0.323658 + 0.155866i
\(311\) 51.0039 + 145.761i 0.164000 + 0.468684i 0.996330 0.0855959i \(-0.0272794\pi\)
−0.832330 + 0.554280i \(0.812994\pi\)
\(312\) 51.7886 + 11.8204i 0.165989 + 0.0378860i
\(313\) 106.381 + 133.398i 0.339876 + 0.426191i 0.922169 0.386788i \(-0.126416\pi\)
−0.582292 + 0.812979i \(0.697844\pi\)
\(314\) 352.902 442.526i 1.12389 1.40932i
\(315\) −11.4730 50.2667i −0.0364224 0.159577i
\(316\) 148.476 + 236.298i 0.469860 + 0.747777i
\(317\) −4.18683 37.1591i −0.0132077 0.117221i 0.985378 0.170380i \(-0.0544996\pi\)
−0.998586 + 0.0531589i \(0.983071\pi\)
\(318\) 125.842i 0.395730i
\(319\) −439.714 + 227.049i −1.37841 + 0.711753i
\(320\) 62.7436 0.196074
\(321\) −328.172 + 36.9761i −1.02234 + 0.115190i
\(322\) 383.348 240.874i 1.19052 0.748055i
\(323\) −369.946 + 84.4377i −1.14534 + 0.261417i
\(324\) 104.154 + 83.0602i 0.321463 + 0.256359i
\(325\) 76.0393 60.6393i 0.233967 0.186582i
\(326\) −33.2137 + 145.519i −0.101883 + 0.446377i
\(327\) 103.717 36.2922i 0.317178 0.110985i
\(328\) 88.5161 183.805i 0.269866 0.560383i
\(329\) 250.116 + 157.158i 0.760230 + 0.477684i
\(330\) 332.882 + 116.480i 1.00873 + 0.352971i
\(331\) 195.213 195.213i 0.589768 0.589768i −0.347800 0.937569i \(-0.613071\pi\)
0.937569 + 0.347800i \(0.113071\pi\)
\(332\) −52.2204 108.437i −0.157290 0.326616i
\(333\) −5.66159 + 50.2480i −0.0170018 + 0.150895i
\(334\) 347.320 + 39.1335i 1.03988 + 0.117166i
\(335\) 40.6952 19.5978i 0.121478 0.0585009i
\(336\) −200.729 200.729i −0.597408 0.597408i
\(337\) 86.0626 245.953i 0.255379 0.729830i −0.742801 0.669513i \(-0.766503\pi\)
0.998179 0.0603174i \(-0.0192113\pi\)
\(338\) 174.295 277.389i 0.515665 0.820676i
\(339\) 203.630 + 98.0631i 0.600679 + 0.289272i
\(340\) 60.4848 + 172.855i 0.177896 + 0.508398i
\(341\) −223.819 51.0853i −0.656362 0.149810i
\(342\) 81.3503 + 102.010i 0.237866 + 0.298275i
\(343\) 232.625 291.702i 0.678207 0.850444i
\(344\) 45.2051 + 198.057i 0.131410 + 0.575746i
\(345\) 126.087 + 200.666i 0.365469 + 0.581641i
\(346\) 6.16172 + 54.6867i 0.0178084 + 0.158054i
\(347\) 75.7571i 0.218320i 0.994024 + 0.109160i \(0.0348161\pi\)
−0.994024 + 0.109160i \(0.965184\pi\)
\(348\) −5.54353 199.014i −0.0159297 0.571879i
\(349\) −88.0863 −0.252396 −0.126198 0.992005i \(-0.540277\pi\)
−0.126198 + 0.992005i \(0.540277\pi\)
\(350\) −224.230 + 25.2646i −0.640656 + 0.0721846i
\(351\) 162.930 102.376i 0.464187 0.291668i
\(352\) −623.997 + 142.423i −1.77272 + 0.404611i
\(353\) 333.963 + 266.327i 0.946071 + 0.754467i 0.969457 0.245260i \(-0.0788733\pi\)
−0.0233860 + 0.999727i \(0.507445\pi\)
\(354\) −243.379 + 194.088i −0.687510 + 0.548271i
\(355\) −19.0074 + 83.2769i −0.0535420 + 0.234583i
\(356\) 140.866 49.2911i 0.395691 0.138458i
\(357\) 132.452 275.040i 0.371014 0.770419i
\(358\) −201.302 126.486i −0.562296 0.353314i
\(359\) 396.769 + 138.835i 1.10521 + 0.386728i 0.820361 0.571845i \(-0.193772\pi\)
0.284845 + 0.958574i \(0.408058\pi\)
\(360\) −20.2458 + 20.2458i −0.0562382 + 0.0562382i
\(361\) 13.6489 + 28.3422i 0.0378086 + 0.0785103i
\(362\) −57.2067 + 507.723i −0.158030 + 1.40255i
\(363\) −422.268 47.5782i −1.16327 0.131069i
\(364\) 94.9189 45.7105i 0.260766 0.125578i
\(365\) 27.7998 + 27.7998i 0.0761638 + 0.0761638i
\(366\) −103.909 + 296.956i −0.283905 + 0.811354i
\(367\) −133.333 + 212.198i −0.363305 + 0.578196i −0.977494 0.210962i \(-0.932340\pi\)
0.614189 + 0.789159i \(0.289483\pi\)
\(368\) −521.746 251.259i −1.41779 0.682770i
\(369\) −57.3865 164.001i −0.155519 0.444448i
\(370\) −147.506 33.6673i −0.398665 0.0909927i
\(371\) −70.7548 88.7237i −0.190714 0.239148i
\(372\) 57.5854 72.2097i 0.154799 0.194112i
\(373\) 109.293 + 478.845i 0.293012 + 1.28377i 0.880311 + 0.474397i \(0.157334\pi\)
−0.587299 + 0.809370i \(0.699809\pi\)
\(374\) −493.045 784.677i −1.31830 2.09807i
\(375\) −35.4915 314.996i −0.0946440 0.839988i
\(376\) 164.036i 0.436267i
\(377\) −180.970 57.7205i −0.480025 0.153105i
\(378\) −446.443 −1.18107
\(379\) 8.35834 0.941759i 0.0220537 0.00248485i −0.100931 0.994893i \(-0.532182\pi\)
0.122984 + 0.992409i \(0.460753\pi\)
\(380\) −134.664 + 84.6153i −0.354380 + 0.222672i
\(381\) 511.879 116.833i 1.34352 0.306649i
\(382\) −497.326 396.605i −1.30190 1.03823i
\(383\) −81.7068 + 65.1590i −0.213334 + 0.170128i −0.724327 0.689457i \(-0.757849\pi\)
0.510993 + 0.859585i \(0.329278\pi\)
\(384\) −54.9271 + 240.651i −0.143039 + 0.626696i
\(385\) −300.187 + 105.040i −0.779706 + 0.272831i
\(386\) −228.551 + 474.591i −0.592101 + 1.22951i
\(387\) 146.500 + 92.0523i 0.378554 + 0.237861i
\(388\) −380.742 133.227i −0.981293 0.343369i
\(389\) 3.30195 3.30195i 0.00848831 0.00848831i −0.702850 0.711338i \(-0.748089\pi\)
0.711338 + 0.702850i \(0.248089\pi\)
\(390\) 58.7346 + 121.964i 0.150602 + 0.312727i
\(391\) 69.7251 618.827i 0.178325 1.58268i
\(392\) −47.7228 5.37707i −0.121742 0.0137170i
\(393\) 373.505 179.870i 0.950393 0.457685i
\(394\) 116.240 + 116.240i 0.295026 + 0.295026i
\(395\) 106.802 305.221i 0.270384 0.772712i
\(396\) −69.0642 + 109.915i −0.174405 + 0.277563i
\(397\) 596.541 + 287.279i 1.50262 + 0.723625i 0.990783 0.135457i \(-0.0432503\pi\)
0.511839 + 0.859082i \(0.328965\pi\)
\(398\) −38.5933 110.293i −0.0969680 0.277119i
\(399\) 258.466 + 58.9932i 0.647785 + 0.147853i
\(400\) 179.953 + 225.654i 0.449883 + 0.564135i
\(401\) −297.015 + 372.445i −0.740687 + 0.928792i −0.999308 0.0371871i \(-0.988160\pi\)
0.258622 + 0.965979i \(0.416732\pi\)
\(402\) −20.4619 89.6495i −0.0509003 0.223009i
\(403\) −46.8826 74.6132i −0.116334 0.185144i
\(404\) 41.6279 + 369.458i 0.103039 + 0.914501i
\(405\) 154.363i 0.381143i
\(406\) 284.264 + 336.775i 0.700158 + 0.829494i
\(407\) 311.906 0.766354
\(408\) −168.456 + 18.9805i −0.412883 + 0.0465207i
\(409\) −245.996 + 154.570i −0.601458 + 0.377921i −0.798074 0.602560i \(-0.794148\pi\)
0.196616 + 0.980481i \(0.437005\pi\)
\(410\) 506.851 115.685i 1.23622 0.282159i
\(411\) 336.539 + 268.381i 0.818831 + 0.652996i
\(412\) 102.271 81.5587i 0.248232 0.197958i
\(413\) 62.4657 273.680i 0.151249 0.662663i
\(414\) −202.112 + 70.7219i −0.488192 + 0.170826i
\(415\) −60.5088 + 125.648i −0.145804 + 0.302766i
\(416\) −208.018 130.706i −0.500043 0.314198i
\(417\) −368.661 129.000i −0.884078 0.309352i
\(418\) 569.089 569.089i 1.36146 1.36146i
\(419\) 148.802 + 308.990i 0.355135 + 0.737446i 0.999631 0.0271619i \(-0.00864698\pi\)
−0.644496 + 0.764608i \(0.722933\pi\)
\(420\) 14.3255 127.143i 0.0341084 0.302721i
\(421\) 528.745 + 59.5753i 1.25593 + 0.141509i 0.714738 0.699392i \(-0.246546\pi\)
0.541189 + 0.840901i \(0.317974\pi\)
\(422\) 662.244 318.920i 1.56930 0.755734i
\(423\) −98.7882 98.7882i −0.233542 0.233542i
\(424\) −20.8137 + 59.4821i −0.0490889 + 0.140288i
\(425\) −165.131 + 262.804i −0.388542 + 0.618362i
\(426\) 156.676 + 75.4513i 0.367785 + 0.177116i
\(427\) −93.7034 267.789i −0.219446 0.627141i
\(428\) 354.598 + 80.9346i 0.828500 + 0.189100i
\(429\) −173.995 218.183i −0.405583 0.508585i
\(430\) −322.779 + 404.752i −0.750649 + 0.941284i
\(431\) −125.008 547.695i −0.290041 1.27075i −0.884467 0.466604i \(-0.845477\pi\)
0.594425 0.804151i \(-0.297380\pi\)
\(432\) 303.809 + 483.510i 0.703262 + 1.11924i
\(433\) −14.0479 124.679i −0.0324432 0.287942i −0.999449 0.0331877i \(-0.989434\pi\)
0.967006 0.254754i \(-0.0819945\pi\)
\(434\) 204.447i 0.471077i
\(435\) −176.287 + 148.800i −0.405257 + 0.342069i
\(436\) −121.019 −0.277567
\(437\) 537.422 60.5529i 1.22980 0.138565i
\(438\) 67.7704 42.5829i 0.154727 0.0972213i
\(439\) 505.439 115.363i 1.15134 0.262786i 0.396084 0.918214i \(-0.370369\pi\)
0.755258 + 0.655428i \(0.227512\pi\)
\(440\) 138.079 + 110.114i 0.313816 + 0.250260i
\(441\) −31.9785 + 25.5020i −0.0725137 + 0.0578277i
\(442\) 79.1532 346.793i 0.179080 0.784599i
\(443\) 57.1618 20.0018i 0.129033 0.0451507i −0.264990 0.964251i \(-0.585369\pi\)
0.394023 + 0.919100i \(0.371083\pi\)
\(444\) −54.4446 + 113.055i −0.122623 + 0.254629i
\(445\) −146.423 92.0035i −0.329040 0.206749i
\(446\) −25.5566 8.94264i −0.0573018 0.0200508i
\(447\) −184.693 + 184.693i −0.413183 + 0.413183i
\(448\) 49.9788 + 103.782i 0.111560 + 0.231656i
\(449\) −80.2125 + 711.905i −0.178647 + 1.58554i 0.509829 + 0.860276i \(0.329709\pi\)
−0.688476 + 0.725260i \(0.741720\pi\)
\(450\) 106.051 + 11.9491i 0.235669 + 0.0265535i
\(451\) −965.615 + 465.015i −2.14105 + 1.03108i
\(452\) −176.011 176.011i −0.389405 0.389405i
\(453\) 92.0762 263.139i 0.203259 0.580880i
\(454\) 93.0913 148.154i 0.205047 0.326330i
\(455\) −109.985 52.9658i −0.241724 0.116408i
\(456\) −48.6243 138.960i −0.106632 0.304738i
\(457\) −533.475 121.762i −1.16734 0.266438i −0.405435 0.914124i \(-0.632880\pi\)
−0.761908 + 0.647686i \(0.775737\pi\)
\(458\) −418.543 524.836i −0.913850 1.14593i
\(459\) −382.871 + 480.105i −0.834141 + 1.04598i
\(460\) −58.0798 254.464i −0.126260 0.553183i
\(461\) −313.897 499.564i −0.680904 1.08365i −0.991118 0.132985i \(-0.957544\pi\)
0.310214 0.950667i \(-0.399599\pi\)
\(462\) 72.4928 + 643.392i 0.156911 + 1.39262i
\(463\) 75.7339i 0.163572i −0.996650 0.0817861i \(-0.973938\pi\)
0.996650 0.0817861i \(-0.0260624\pi\)
\(464\) 171.291 537.045i 0.369162 1.15742i
\(465\) −107.019 −0.230149
\(466\) 361.192 40.6965i 0.775090 0.0873316i
\(467\) −146.168 + 91.8436i −0.312994 + 0.196667i −0.679363 0.733803i \(-0.737744\pi\)
0.366369 + 0.930470i \(0.380601\pi\)
\(468\) −48.5777 + 11.0875i −0.103798 + 0.0236913i
\(469\) 64.8320 + 51.7018i 0.138235 + 0.110238i
\(470\) 326.823 260.632i 0.695367 0.554537i
\(471\) −121.037 + 530.299i −0.256979 + 1.12590i
\(472\) −147.140 + 51.4864i −0.311737 + 0.109081i
\(473\) 463.058 961.550i 0.978981 2.03288i
\(474\) −557.417 350.248i −1.17598 0.738920i
\(475\) −254.422 89.0260i −0.535624 0.187423i
\(476\) −237.735 + 237.735i −0.499443 + 0.499443i
\(477\) 23.2874 + 48.3568i 0.0488206 + 0.101377i
\(478\) 28.7710 255.349i 0.0601903 0.534204i
\(479\) −14.8101 1.66870i −0.0309188 0.00348372i 0.0964915 0.995334i \(-0.469238\pi\)
−0.127410 + 0.991850i \(0.540667\pi\)
\(480\) −268.817 + 129.455i −0.560035 + 0.269699i
\(481\) 84.6559 + 84.6559i 0.176000 + 0.176000i
\(482\) −313.285 + 895.318i −0.649970 + 1.85751i
\(483\) −231.480 + 368.398i −0.479254 + 0.762728i
\(484\) 421.657 + 203.059i 0.871193 + 0.419544i
\(485\) 154.373 + 441.174i 0.318296 + 0.909636i
\(486\) 363.309 + 82.9228i 0.747548 + 0.170623i
\(487\) 121.461 + 152.307i 0.249406 + 0.312745i 0.890737 0.454519i \(-0.150189\pi\)
−0.641331 + 0.767264i \(0.721618\pi\)
\(488\) −98.2302 + 123.177i −0.201291 + 0.252411i
\(489\) −31.9184 139.843i −0.0652727 0.285979i
\(490\) −65.1121 103.625i −0.132882 0.211480i
\(491\) 4.56914 + 40.5522i 0.00930578 + 0.0825911i 0.997507 0.0705722i \(-0.0224825\pi\)
−0.988201 + 0.153163i \(0.951054\pi\)
\(492\) 431.173i 0.876368i
\(493\) 605.953 16.8788i 1.22911 0.0342370i
\(494\) 308.918 0.625341
\(495\) 149.470 16.8413i 0.301960 0.0340228i
\(496\) 221.422 139.129i 0.446415 0.280501i
\(497\) −152.886 + 34.8952i −0.307617 + 0.0702116i
\(498\) 221.973 + 177.018i 0.445729 + 0.355457i
\(499\) 510.903 407.432i 1.02385 0.816497i 0.0406810 0.999172i \(-0.487047\pi\)
0.983173 + 0.182676i \(0.0584758\pi\)
\(500\) −77.6850 + 340.360i −0.155370 + 0.680720i
\(501\) −317.037 + 110.936i −0.632809 + 0.221429i
\(502\) 249.398 517.880i 0.496808 1.03163i
\(503\) −543.585 341.557i −1.08069 0.679040i −0.130728 0.991418i \(-0.541731\pi\)
−0.949958 + 0.312379i \(0.898874\pi\)
\(504\) −49.6147 17.3609i −0.0984418 0.0344463i
\(505\) 304.627 304.627i 0.603222 0.603222i
\(506\) 573.075 + 1190.00i 1.13256 + 2.35178i
\(507\) −35.2493 + 312.846i −0.0695252 + 0.617053i
\(508\) −574.616 64.7437i −1.13113 0.127448i
\(509\) −108.052 + 52.0353i −0.212284 + 0.102230i −0.537004 0.843580i \(-0.680444\pi\)
0.324720 + 0.945810i \(0.394730\pi\)
\(510\) −305.471 305.471i −0.598963 0.598963i
\(511\) −23.8386 + 68.1267i −0.0466508 + 0.133320i
\(512\) 253.515 403.466i 0.495146 0.788020i
\(513\) −480.484 231.389i −0.936616 0.451050i
\(514\) −112.010 320.106i −0.217918 0.622775i
\(515\) −147.772 33.7280i −0.286936 0.0654913i
\(516\) 267.701 + 335.686i 0.518799 + 0.650554i
\(517\) −537.297 + 673.750i −1.03926 + 1.30319i
\(518\) −61.8089 270.802i −0.119322 0.522785i
\(519\) −28.1373 44.7803i −0.0542144 0.0862818i
\(520\) 7.59003 + 67.3634i 0.0145962 + 0.129545i
\(521\) 424.304i 0.814404i −0.913338 0.407202i \(-0.866505\pi\)
0.913338 0.407202i \(-0.133495\pi\)
\(522\) −95.6307 185.203i −0.183201 0.354795i
\(523\) 4.61578 0.00882558 0.00441279 0.999990i \(-0.498595\pi\)
0.00441279 + 0.999990i \(0.498595\pi\)
\(524\) −453.700 + 51.1197i −0.865840 + 0.0975568i
\(525\) 183.611 115.370i 0.349734 0.219753i
\(526\) 136.596 31.1770i 0.259687 0.0592720i
\(527\) 219.863 + 175.335i 0.417197 + 0.332703i
\(528\) 647.478 516.347i 1.22628 0.977929i
\(529\) −79.7873 + 349.571i −0.150827 + 0.660815i
\(530\) −151.581 + 53.0405i −0.286002 + 0.100076i
\(531\) −57.6056 + 119.619i −0.108485 + 0.225272i
\(532\) −247.227 155.343i −0.464712 0.291998i
\(533\) −388.294 135.870i −0.728507 0.254916i
\(534\) −248.939 + 248.939i −0.466178 + 0.466178i
\(535\) −182.859 379.710i −0.341792 0.709739i
\(536\) 5.15582 45.7592i 0.00961907 0.0853716i
\(537\) 227.034 + 25.5805i 0.422781 + 0.0476360i
\(538\) 58.6734 28.2556i 0.109058 0.0525198i
\(539\) 178.400 + 178.400i 0.330984 + 0.330984i
\(540\) −85.0060 + 242.933i −0.157418 + 0.449876i
\(541\) 160.391 255.261i 0.296472 0.471833i −0.664958 0.746880i \(-0.731551\pi\)
0.961431 + 0.275048i \(0.0886936\pi\)
\(542\) 721.608 + 347.508i 1.33138 + 0.641159i
\(543\) −162.170 463.455i −0.298656 0.853509i
\(544\) 764.356 + 174.459i 1.40507 + 0.320697i
\(545\) 87.4304 + 109.634i 0.160423 + 0.201164i
\(546\) −154.950 + 194.302i −0.283792 + 0.355864i
\(547\) 33.8389 + 148.258i 0.0618627 + 0.271038i 0.996394 0.0848416i \(-0.0270384\pi\)
−0.934532 + 0.355880i \(0.884181\pi\)
\(548\) −252.222 401.409i −0.460259 0.732498i
\(549\) 15.0237 + 133.339i 0.0273655 + 0.242876i
\(550\) 658.293i 1.19690i
\(551\) 131.391 + 509.786i 0.238459 + 0.925201i
\(552\) 241.611 0.437700
\(553\) 589.929 66.4691i 1.06678 0.120197i
\(554\) −1095.77 + 688.518i −1.97793 + 1.24281i
\(555\) 141.753 32.3542i 0.255411 0.0582959i
\(556\) 336.313 + 268.201i 0.604880 + 0.482375i
\(557\) −24.5533 + 19.5806i −0.0440814 + 0.0351538i −0.645283 0.763944i \(-0.723260\pi\)
0.601201 + 0.799098i \(0.294689\pi\)
\(558\) 21.5166 94.2703i 0.0385602 0.168943i
\(559\) 386.660 135.298i 0.691699 0.242036i
\(560\) 157.181 326.390i 0.280680 0.582839i
\(561\) 754.074 + 473.816i 1.34416 + 0.844592i
\(562\) −981.646 343.493i −1.74670 0.611197i
\(563\) −667.667 + 667.667i −1.18591 + 1.18591i −0.207721 + 0.978188i \(0.566605\pi\)
−0.978188 + 0.207721i \(0.933395\pi\)
\(564\) −150.424 312.358i −0.266709 0.553826i
\(565\) −32.2934 + 286.612i −0.0571565 + 0.507278i
\(566\) 191.227 + 21.5461i 0.337857 + 0.0380674i
\(567\) 255.326 122.958i 0.450310 0.216858i
\(568\) 61.5773 + 61.5773i 0.108411 + 0.108411i
\(569\) 296.283 846.727i 0.520708 1.48810i −0.320428 0.947273i \(-0.603827\pi\)
0.841136 0.540824i \(-0.181888\pi\)
\(570\) 199.604 317.668i 0.350183 0.557312i
\(571\) −603.338 290.552i −1.05663 0.508848i −0.176858 0.984236i \(-0.556593\pi\)
−0.879776 + 0.475388i \(0.842308\pi\)
\(572\) 101.510 + 290.100i 0.177466 + 0.507168i
\(573\) 595.969 + 136.026i 1.04009 + 0.237393i
\(574\) 595.086 + 746.214i 1.03673 + 1.30002i
\(575\) 275.809 345.853i 0.479668 0.601484i
\(576\) −12.1228 53.1136i −0.0210466 0.0922112i
\(577\) −4.39331 6.99192i −0.00761406 0.0121177i 0.842895 0.538077i \(-0.180849\pi\)
−0.850510 + 0.525960i \(0.823706\pi\)
\(578\) 43.0330 + 381.928i 0.0744516 + 0.660776i
\(579\) 506.212i 0.874287i
\(580\) 237.383 90.5588i 0.409281 0.156136i
\(581\) −256.028 −0.440669
\(582\) 945.569 106.540i 1.62469 0.183059i
\(583\) 280.321 176.137i 0.480825 0.302122i
\(584\) 39.0762 8.91890i 0.0669114 0.0152721i
\(585\) 45.1395 + 35.9975i 0.0771615 + 0.0615342i
\(586\) −915.717 + 730.260i −1.56266 + 1.24618i
\(587\) −68.8550 + 301.673i −0.117300 + 0.513924i 0.881805 + 0.471615i \(0.156329\pi\)
−0.999105 + 0.0423093i \(0.986529\pi\)
\(588\) −95.8046 + 33.5235i −0.162933 + 0.0570127i
\(589\) −105.964 + 220.036i −0.179905 + 0.373576i
\(590\) −336.366 211.353i −0.570112 0.358225i
\(591\) −149.112 52.1766i −0.252305 0.0882853i
\(592\) −251.225 + 251.225i −0.424366 + 0.424366i
\(593\) 313.607 + 651.212i 0.528849 + 1.09817i 0.978744 + 0.205084i \(0.0657469\pi\)
−0.449896 + 0.893081i \(0.648539\pi\)
\(594\) 145.825 1294.23i 0.245497 2.17885i
\(595\) 387.121 + 43.6181i 0.650624 + 0.0733077i
\(596\) 259.177 124.813i 0.434861 0.209418i
\(597\) 79.4033 + 79.4033i 0.133004 + 0.133004i
\(598\) −167.443 + 478.526i −0.280006 + 0.800210i
\(599\) −202.636 + 322.493i −0.338290 + 0.538386i −0.971938 0.235235i \(-0.924414\pi\)
0.633648 + 0.773621i \(0.281557\pi\)
\(600\) −108.494 52.2481i −0.180824 0.0870801i
\(601\) −311.119 889.126i −0.517668 1.47941i −0.845137 0.534549i \(-0.820481\pi\)
0.327469 0.944862i \(-0.393804\pi\)
\(602\) −926.597 211.490i −1.53920 0.351312i
\(603\) −24.4527 30.6627i −0.0405518 0.0508503i
\(604\) −191.434 + 240.050i −0.316943 + 0.397434i
\(605\) −120.670 528.690i −0.199455 0.873868i
\(606\) −466.620 742.621i −0.770000 1.22545i
\(607\) 9.33482 + 82.8488i 0.0153786 + 0.136489i 0.999055 0.0434556i \(-0.0138367\pi\)
−0.983677 + 0.179945i \(0.942408\pi\)
\(608\) 680.878i 1.11986i
\(609\) −386.547 173.062i −0.634724 0.284175i
\(610\) −401.490 −0.658180
\(611\) −328.696 + 37.0352i −0.537964 + 0.0606140i
\(612\) 134.639 84.5993i 0.219998 0.138234i
\(613\) −730.866 + 166.815i −1.19228 + 0.272129i −0.772212 0.635365i \(-0.780850\pi\)
−0.420065 + 0.907494i \(0.637993\pi\)
\(614\) −42.6568 34.0177i −0.0694737 0.0554034i
\(615\) −390.610 + 311.501i −0.635139 + 0.506506i
\(616\) −72.1486 + 316.104i −0.117124 + 0.513155i
\(617\) 516.148 180.608i 0.836544 0.292719i 0.122192 0.992506i \(-0.461008\pi\)
0.714351 + 0.699787i \(0.246722\pi\)
\(618\) −133.886 + 278.017i −0.216644 + 0.449866i
\(619\) −669.936 420.949i −1.08229 0.680046i −0.131947 0.991257i \(-0.542123\pi\)
−0.950341 + 0.311211i \(0.899266\pi\)
\(620\) 111.251 + 38.9283i 0.179436 + 0.0627875i
\(621\) 618.867 618.867i 0.996565 0.996565i
\(622\) 174.076 + 361.472i 0.279865 + 0.581145i
\(623\) 35.5459 315.478i 0.0570560 0.506386i
\(624\) 315.880 + 35.5911i 0.506217 + 0.0570370i
\(625\) 30.0154 14.4547i 0.0480247 0.0231275i
\(626\) 313.447 + 313.447i 0.500713 + 0.500713i
\(627\) −255.446 + 730.023i −0.407410 + 1.16431i
\(628\) 318.719 507.239i 0.507515 0.807705i
\(629\) −344.229 165.772i −0.547263 0.263548i
\(630\) −44.2417 126.436i −0.0702249 0.200691i
\(631\) 305.108 + 69.6389i 0.483531 + 0.110363i 0.457336 0.889294i \(-0.348804\pi\)
0.0261949 + 0.999657i \(0.491661\pi\)
\(632\) −205.546 257.747i −0.325232 0.407828i
\(633\) −440.413 + 552.261i −0.695756 + 0.872450i
\(634\) −21.6182 94.7153i −0.0340980 0.149393i
\(635\) 356.479 + 567.333i 0.561384 + 0.893438i
\(636\) 14.9125 + 132.352i 0.0234474 + 0.208101i
\(637\) 96.8410i 0.152027i
\(638\) −1069.16 + 714.076i −1.67580 + 1.11924i
\(639\) 74.1679 0.116069
\(640\) −313.024 + 35.2693i −0.489100 + 0.0551083i
\(641\) 166.181 104.418i 0.259253 0.162899i −0.396134 0.918193i \(-0.629648\pi\)
0.655387 + 0.755293i \(0.272506\pi\)
\(642\) −836.482 + 190.922i −1.30293 + 0.297386i
\(643\) −28.9995 23.1263i −0.0451003 0.0359663i 0.600680 0.799489i \(-0.294896\pi\)
−0.645781 + 0.763523i \(0.723468\pi\)
\(644\) 374.636 298.763i 0.581734 0.463917i
\(645\) 110.706 485.033i 0.171637 0.751989i
\(646\) −930.522 + 325.604i −1.44044 + 0.504030i
\(647\) 341.548 709.232i 0.527895 1.09619i −0.451132 0.892457i \(-0.648980\pi\)
0.979027 0.203729i \(-0.0653061\pi\)
\(648\) −133.250 83.7267i −0.205633 0.129208i
\(649\) 772.992 + 270.482i 1.19105 + 0.416767i
\(650\) 178.670 178.670i 0.274878 0.274878i
\(651\) −85.2467 177.017i −0.130947 0.271915i
\(652\) −17.6877 + 156.983i −0.0271284 + 0.240771i
\(653\) 651.771 + 73.4370i 0.998118 + 0.112461i 0.595879 0.803074i \(-0.296804\pi\)
0.402239 + 0.915535i \(0.368232\pi\)
\(654\) 257.208 123.865i 0.393285 0.189396i
\(655\) 374.087 + 374.087i 0.571125 + 0.571125i
\(656\) 403.207 1152.30i 0.614646 1.75656i
\(657\) 18.1618 28.9043i 0.0276435 0.0439943i
\(658\) 691.435 + 332.978i 1.05081 + 0.506045i
\(659\) −49.7225 142.099i −0.0754514 0.215628i 0.899980 0.435931i \(-0.143581\pi\)
−0.975431 + 0.220304i \(0.929295\pi\)
\(660\) 363.907 + 83.0593i 0.551374 + 0.125847i
\(661\) 236.407 + 296.445i 0.357650 + 0.448479i 0.927809 0.373055i \(-0.121690\pi\)
−0.570159 + 0.821534i \(0.693118\pi\)
\(662\) 447.195 560.764i 0.675521 0.847076i
\(663\) 76.0662 + 333.268i 0.114730 + 0.502666i
\(664\) 75.6427 + 120.385i 0.113920 + 0.181302i
\(665\) 37.8803 + 336.197i 0.0569628 + 0.505559i
\(666\) 131.372i 0.197255i
\(667\) −860.895 72.7909i −1.29070 0.109132i
\(668\) 369.925 0.553780
\(669\) 25.8564 2.91332i 0.0386494 0.00435474i
\(670\) 99.3616 62.4330i 0.148301 0.0931836i
\(671\) 806.926 184.176i 1.20257 0.274479i
\(672\) −428.255 341.522i −0.637284 0.508217i
\(673\) −387.895 + 309.336i −0.576367 + 0.459637i −0.867772 0.496963i \(-0.834449\pi\)
0.291405 + 0.956600i \(0.405877\pi\)
\(674\) 150.642 660.007i 0.223505 0.979239i
\(675\) −411.729 + 144.070i −0.609969 + 0.213437i
\(676\) 150.441 312.393i 0.222545 0.462120i
\(677\) −659.147 414.170i −0.973630 0.611772i −0.0515083 0.998673i \(-0.516403\pi\)
−0.922122 + 0.386900i \(0.873546\pi\)
\(678\) 554.234 + 193.935i 0.817455 + 0.286040i
\(679\) −606.763 + 606.763i −0.893612 + 0.893612i
\(680\) −93.8645 194.912i −0.138036 0.286635i
\(681\) −18.8267 + 167.092i −0.0276457 + 0.245362i
\(682\) −592.691 66.7803i −0.869049 0.0979183i
\(683\) 346.400 166.817i 0.507174 0.244242i −0.162756 0.986666i \(-0.552038\pi\)
0.669930 + 0.742424i \(0.266324\pi\)
\(684\) 97.6472 + 97.6472i 0.142759 + 0.142759i
\(685\) −181.428 + 518.492i −0.264859 + 0.756923i
\(686\) 515.712 820.751i 0.751767 1.19643i
\(687\) 581.224 + 279.903i 0.846032 + 0.407428i
\(688\) 401.510 + 1147.45i 0.583591 + 1.66781i
\(689\) 123.889 + 28.2770i 0.179811 + 0.0410406i
\(690\) 383.888 + 481.380i 0.556359 + 0.697652i
\(691\) 654.553 820.783i 0.947254 1.18782i −0.0348332 0.999393i \(-0.511090\pi\)
0.982087 0.188426i \(-0.0603386\pi\)
\(692\) 12.9610 + 56.7857i 0.0187297 + 0.0820603i
\(693\) 146.918 + 233.819i 0.212003 + 0.337401i
\(694\) 22.0367 + 195.581i 0.0317532 + 0.281817i
\(695\) 498.436i 0.717175i
\(696\) 32.8299 + 232.885i 0.0471694 + 0.334605i
\(697\) 1312.83 1.88354
\(698\) −227.411 + 25.6231i −0.325804 + 0.0367093i
\(699\) −295.762 + 185.840i −0.423121 + 0.265865i
\(700\) −232.836 + 53.1433i −0.332623 + 0.0759190i
\(701\) 70.4321 + 56.1677i 0.100474 + 0.0801252i 0.672438 0.740153i \(-0.265247\pi\)
−0.571964 + 0.820278i \(0.693818\pi\)
\(702\) 390.854 311.695i 0.556772 0.444011i
\(703\) 73.8336 323.486i 0.105026 0.460151i
\(704\) −317.188 + 110.989i −0.450552 + 0.157655i
\(705\) −174.299 + 361.936i −0.247233 + 0.513384i
\(706\) 939.659 + 590.427i 1.33096 + 0.836299i
\(707\) 746.526 + 261.221i 1.05591 + 0.369478i
\(708\) −232.970 + 232.970i −0.329053 + 0.329053i
\(709\) −457.420 949.843i −0.645162 1.33969i −0.925118 0.379681i \(-0.876034\pi\)
0.279955 0.960013i \(-0.409680\pi\)
\(710\) −24.8471 + 220.524i −0.0349959 + 0.310597i
\(711\) −279.011 31.4370i −0.392420 0.0442152i
\(712\) −158.840 + 76.4933i −0.223090 + 0.107434i
\(713\) −283.408 283.408i −0.397487 0.397487i
\(714\) 261.944 748.594i 0.366869 1.04845i
\(715\) 189.473 301.544i 0.264997 0.421740i
\(716\) −226.705 109.175i −0.316627 0.152480i
\(717\) 81.5602 + 233.086i 0.113752 + 0.325085i
\(718\) 1064.72 + 243.015i 1.48289 + 0.338461i
\(719\) −375.775 471.207i −0.522636 0.655364i 0.448531 0.893767i \(-0.351947\pi\)
−0.971166 + 0.238403i \(0.923376\pi\)
\(720\) −106.826 + 133.956i −0.148370 + 0.186050i
\(721\) −61.9204 271.291i −0.0858813 0.376270i
\(722\) 43.4815 + 69.2005i 0.0602237 + 0.0958455i
\(723\) −102.062 905.822i −0.141164 1.25287i
\(724\) 540.769i 0.746919i
\(725\) 370.840 + 218.854i 0.511504 + 0.301868i
\(726\) −1104.00 −1.52067
\(727\) −652.396 + 73.5073i −0.897380 + 0.101110i −0.548591 0.836091i \(-0.684836\pi\)
−0.348789 + 0.937201i \(0.613407\pi\)
\(728\) −105.377 + 66.2131i −0.144749 + 0.0909520i
\(729\) −774.239 + 176.715i −1.06206 + 0.242407i
\(730\) 79.8569 + 63.6837i 0.109393 + 0.0872380i
\(731\) −1022.09 + 815.089i −1.39821 + 1.11503i
\(732\) −74.0951 + 324.632i −0.101223 + 0.443486i
\(733\) −1069.34 + 374.177i −1.45885 + 0.510473i −0.939040 0.343809i \(-0.888283\pi\)
−0.519810 + 0.854282i \(0.673997\pi\)
\(734\) −282.498 + 586.614i −0.384875 + 0.799201i
\(735\) 99.5839 + 62.5727i 0.135488 + 0.0851330i
\(736\) −1054.70 369.057i −1.43302 0.501436i
\(737\) −171.060 + 171.060i −0.232103 + 0.232103i
\(738\) −195.860 406.707i −0.265392 0.551093i
\(739\) 72.0915 639.830i 0.0975527 0.865805i −0.845684 0.533684i \(-0.820807\pi\)
0.943237 0.332121i \(-0.107764\pi\)
\(740\) −159.127 17.9293i −0.215036 0.0242288i
\(741\) −267.471 + 128.807i −0.360959 + 0.173829i
\(742\) −208.475 208.475i −0.280964 0.280964i
\(743\) 147.582 421.766i 0.198630 0.567653i −0.800884 0.598820i \(-0.795637\pi\)
0.999514 + 0.0311669i \(0.00992233\pi\)
\(744\) −58.0475 + 92.3820i −0.0780208 + 0.124169i
\(745\) −300.314 144.624i −0.403106 0.194126i
\(746\) 421.450 + 1204.44i 0.564947 + 1.61453i
\(747\) 118.054 + 26.9451i 0.158038 + 0.0360711i
\(748\) −611.538 766.844i −0.817564 1.02519i
\(749\) 482.408 604.921i 0.644070 0.807638i
\(750\) −183.256 802.896i −0.244341 1.07053i
\(751\) 523.385 + 832.962i 0.696917 + 1.10914i 0.988299 + 0.152531i \(0.0487423\pi\)
−0.291381 + 0.956607i \(0.594115\pi\)
\(752\) −109.905 975.438i −0.146151 1.29712i
\(753\) 552.385i 0.733580i
\(754\) −483.997 96.3746i −0.641905 0.127818i
\(755\) 355.769 0.471217
\(756\) −469.539 + 52.9044i −0.621083 + 0.0699793i
\(757\) −315.734 + 198.389i −0.417086 + 0.262073i −0.724186 0.689605i \(-0.757784\pi\)
0.307100 + 0.951677i \(0.400641\pi\)
\(758\) 21.3047 4.86265i 0.0281064 0.00641511i
\(759\) −992.372 791.390i −1.30747 1.04267i
\(760\) 146.888 117.139i 0.193274 0.154131i
\(761\) 0.0873012 0.382492i 0.000114719 0.000502617i −0.974871 0.222772i \(-0.928489\pi\)
0.974985 + 0.222270i \(0.0713465\pi\)
\(762\) 1287.53 450.525i 1.68967 0.591240i
\(763\) −111.699 + 231.945i −0.146395 + 0.303991i
\(764\) −570.053 358.188i −0.746143 0.468833i
\(765\) −173.911 60.8540i −0.227334 0.0795477i
\(766\) −191.987 + 191.987i −0.250636 + 0.250636i
\(767\) 136.389 + 283.214i 0.177821 + 0.369250i
\(768\) −93.8219 + 832.693i −0.122164 + 1.08424i
\(769\) 1349.61 + 152.064i 1.75502 + 0.197743i 0.930049 0.367436i \(-0.119764\pi\)
0.824968 + 0.565179i \(0.191193\pi\)
\(770\) −744.433 + 358.500i −0.966797 + 0.465585i
\(771\) 230.454 + 230.454i 0.298903 + 0.298903i