Properties

Label 441.2.z.a.142.38
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.38
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.454036 - 1.15687i) q^{2} +(1.71544 - 0.239337i) q^{3} +(0.333914 + 0.309827i) q^{4} +(-0.554147 + 0.266863i) q^{5} +(0.501990 - 2.09320i) q^{6} +(-1.17491 - 2.37056i) q^{7} +(2.74944 - 1.32406i) q^{8} +(2.88544 - 0.821133i) q^{9} +O(q^{10})\) \(q+(0.454036 - 1.15687i) q^{2} +(1.71544 - 0.239337i) q^{3} +(0.333914 + 0.309827i) q^{4} +(-0.554147 + 0.266863i) q^{5} +(0.501990 - 2.09320i) q^{6} +(-1.17491 - 2.37056i) q^{7} +(2.74944 - 1.32406i) q^{8} +(2.88544 - 0.821133i) q^{9} +(0.0571219 + 0.762239i) q^{10} +(0.391646 + 0.491108i) q^{11} +(0.646962 + 0.451571i) q^{12} +(-0.676370 + 1.72336i) q^{13} +(-3.27588 + 0.282894i) q^{14} +(-0.886732 + 0.590414i) q^{15} +(-0.215333 - 2.87343i) q^{16} +(-0.396881 + 0.368251i) q^{17} +(0.360153 - 3.71089i) q^{18} +(-0.957228 + 1.65797i) q^{19} +(-0.267719 - 0.0825804i) q^{20} +(-2.58285 - 3.78535i) q^{21} +(0.745967 - 0.230100i) q^{22} +(1.39363 - 6.10588i) q^{23} +(4.39959 - 2.92938i) q^{24} +(-2.88159 + 3.61340i) q^{25} +(1.68660 + 1.56494i) q^{26} +(4.75325 - 2.09919i) q^{27} +(0.342145 - 1.15559i) q^{28} +(3.40496 + 1.05029i) q^{29} +(0.280420 + 1.29390i) q^{30} +(-2.65625 + 4.60076i) q^{31} +(2.41021 + 0.743450i) q^{32} +(0.789383 + 0.748729i) q^{33} +(0.245819 + 0.626337i) q^{34} +(1.28369 + 1.00010i) q^{35} +(1.21790 + 0.619799i) q^{36} +(-4.58247 - 1.41351i) q^{37} +(1.48343 + 1.86016i) q^{38} +(-0.747806 + 3.11820i) q^{39} +(-1.17025 + 1.46745i) q^{40} +(-0.614083 - 0.418675i) q^{41} +(-5.55185 + 1.26932i) q^{42} +(-2.00565 + 1.36743i) q^{43} +(-0.0213826 + 0.285331i) q^{44} +(-1.37982 + 1.22504i) q^{45} +(-6.43093 - 4.38453i) q^{46} +(-0.325120 + 0.828391i) q^{47} +(-1.05711 - 4.87764i) q^{48} +(-4.23916 + 5.57042i) q^{49} +(2.87187 + 4.97422i) q^{50} +(-0.592687 + 0.726699i) q^{51} +(-0.759795 + 0.365898i) q^{52} +(-3.90823 + 1.20553i) q^{53} +(-0.270332 - 6.45198i) q^{54} +(-0.348088 - 0.167630i) q^{55} +(-6.36912 - 4.96207i) q^{56} +(-1.24525 + 3.07324i) q^{57} +(2.76102 - 3.46222i) q^{58} +(1.09769 - 0.748389i) q^{59} +(-0.479019 - 0.0775863i) q^{60} +(-7.80656 + 7.24343i) q^{61} +(4.11643 + 5.16184i) q^{62} +(-5.33669 - 5.87535i) q^{63} +(5.54754 - 6.95640i) q^{64} +(-0.0850935 - 1.13549i) q^{65} +(1.22459 - 0.573260i) q^{66} +(-3.06176 + 5.30313i) q^{67} -0.246619 q^{68} +(0.929317 - 10.8078i) q^{69} +(1.73982 - 1.03098i) q^{70} +(0.464838 - 2.03659i) q^{71} +(6.84610 - 6.07815i) q^{72} +(-0.428904 - 0.0646468i) q^{73} +(-3.71585 + 4.65952i) q^{74} +(-4.07836 + 6.88821i) q^{75} +(-0.833316 + 0.257044i) q^{76} +(0.704054 - 1.50543i) q^{77} +(3.26781 + 2.28089i) q^{78} +(3.84604 + 6.66153i) q^{79} +(0.886137 + 1.53483i) q^{80} +(7.65148 - 4.73865i) q^{81} +(-0.763167 + 0.520318i) q^{82} +(-4.35329 - 11.0920i) q^{83} +(0.310354 - 2.06422i) q^{84} +(0.121657 - 0.309978i) q^{85} +(0.671295 + 2.94113i) q^{86} +(6.09237 + 0.986776i) q^{87} +(1.72706 + 0.831709i) q^{88} +(4.94438 + 12.5981i) q^{89} +(0.790721 + 2.15249i) q^{90} +(4.88002 - 0.421423i) q^{91} +(2.35712 - 1.60706i) q^{92} +(-3.45549 + 8.52804i) q^{93} +(0.810721 + 0.752239i) q^{94} +(0.0879946 - 1.17421i) q^{95} +(4.31249 + 0.698490i) q^{96} +(0.579943 - 1.00449i) q^{97} +(4.51949 + 7.43331i) q^{98} +(1.53333 + 1.09547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.454036 1.15687i 0.321052 0.818028i −0.675676 0.737199i \(-0.736148\pi\)
0.996728 0.0808287i \(-0.0257567\pi\)
\(3\) 1.71544 0.239337i 0.990407 0.138181i
\(4\) 0.333914 + 0.309827i 0.166957 + 0.154914i
\(5\) −0.554147 + 0.266863i −0.247822 + 0.119345i −0.553672 0.832735i \(-0.686774\pi\)
0.305850 + 0.952080i \(0.401059\pi\)
\(6\) 0.501990 2.09320i 0.204936 0.854544i
\(7\) −1.17491 2.37056i −0.444076 0.895989i
\(8\) 2.74944 1.32406i 0.972074 0.468126i
\(9\) 2.88544 0.821133i 0.961812 0.273711i
\(10\) 0.0571219 + 0.762239i 0.0180635 + 0.241041i
\(11\) 0.391646 + 0.491108i 0.118086 + 0.148075i 0.837361 0.546651i \(-0.184097\pi\)
−0.719275 + 0.694725i \(0.755526\pi\)
\(12\) 0.646962 + 0.451571i 0.186762 + 0.130357i
\(13\) −0.676370 + 1.72336i −0.187591 + 0.477975i −0.993468 0.114108i \(-0.963599\pi\)
0.805877 + 0.592083i \(0.201694\pi\)
\(14\) −3.27588 + 0.282894i −0.875515 + 0.0756067i
\(15\) −0.886732 + 0.590414i −0.228953 + 0.152444i
\(16\) −0.215333 2.87343i −0.0538334 0.718356i
\(17\) −0.396881 + 0.368251i −0.0962577 + 0.0893141i −0.726834 0.686813i \(-0.759009\pi\)
0.630576 + 0.776127i \(0.282819\pi\)
\(18\) 0.360153 3.71089i 0.0848888 0.874664i
\(19\) −0.957228 + 1.65797i −0.219603 + 0.380364i −0.954687 0.297613i \(-0.903810\pi\)
0.735083 + 0.677977i \(0.237143\pi\)
\(20\) −0.267719 0.0825804i −0.0598638 0.0184655i
\(21\) −2.58285 3.78535i −0.563624 0.826031i
\(22\) 0.745967 0.230100i 0.159041 0.0490576i
\(23\) 1.39363 6.10588i 0.290591 1.27316i −0.593113 0.805119i \(-0.702101\pi\)
0.883705 0.468045i \(-0.155041\pi\)
\(24\) 4.39959 2.92938i 0.898062 0.597957i
\(25\) −2.88159 + 3.61340i −0.576317 + 0.722679i
\(26\) 1.68660 + 1.56494i 0.330770 + 0.306910i
\(27\) 4.75325 2.09919i 0.914764 0.403989i
\(28\) 0.342145 1.15559i 0.0646594 0.218385i
\(29\) 3.40496 + 1.05029i 0.632286 + 0.195034i 0.594299 0.804244i \(-0.297429\pi\)
0.0379866 + 0.999278i \(0.487906\pi\)
\(30\) 0.280420 + 1.29390i 0.0511975 + 0.236233i
\(31\) −2.65625 + 4.60076i −0.477076 + 0.826321i −0.999655 0.0262705i \(-0.991637\pi\)
0.522578 + 0.852591i \(0.324970\pi\)
\(32\) 2.41021 + 0.743450i 0.426068 + 0.131425i
\(33\) 0.789383 + 0.748729i 0.137414 + 0.130337i
\(34\) 0.245819 + 0.626337i 0.0421576 + 0.107416i
\(35\) 1.28369 + 1.00010i 0.216983 + 0.169048i
\(36\) 1.21790 + 0.619799i 0.202983 + 0.103300i
\(37\) −4.58247 1.41351i −0.753354 0.232379i −0.105788 0.994389i \(-0.533737\pi\)
−0.647566 + 0.762010i \(0.724213\pi\)
\(38\) 1.48343 + 1.86016i 0.240644 + 0.301758i
\(39\) −0.747806 + 3.11820i −0.119745 + 0.499311i
\(40\) −1.17025 + 1.46745i −0.185033 + 0.232024i
\(41\) −0.614083 0.418675i −0.0959037 0.0653861i 0.514419 0.857539i \(-0.328008\pi\)
−0.610322 + 0.792153i \(0.708960\pi\)
\(42\) −5.55185 + 1.26932i −0.856669 + 0.195861i
\(43\) −2.00565 + 1.36743i −0.305859 + 0.208531i −0.706516 0.707697i \(-0.749734\pi\)
0.400657 + 0.916228i \(0.368782\pi\)
\(44\) −0.0213826 + 0.285331i −0.00322354 + 0.0430152i
\(45\) −1.37982 + 1.22504i −0.205692 + 0.182619i
\(46\) −6.43093 4.38453i −0.948188 0.646464i
\(47\) −0.325120 + 0.828391i −0.0474236 + 0.120833i −0.952623 0.304154i \(-0.901626\pi\)
0.905199 + 0.424987i \(0.139721\pi\)
\(48\) −1.05711 4.87764i −0.152580 0.704026i
\(49\) −4.23916 + 5.57042i −0.605594 + 0.795774i
\(50\) 2.87187 + 4.97422i 0.406143 + 0.703461i
\(51\) −0.592687 + 0.726699i −0.0829928 + 0.101758i
\(52\) −0.759795 + 0.365898i −0.105365 + 0.0507409i
\(53\) −3.90823 + 1.20553i −0.536836 + 0.165592i −0.551306 0.834303i \(-0.685870\pi\)
0.0144697 + 0.999895i \(0.495394\pi\)
\(54\) −0.270332 6.45198i −0.0367875 0.878004i
\(55\) −0.348088 0.167630i −0.0469361 0.0226032i
\(56\) −6.36912 4.96207i −0.851110 0.663084i
\(57\) −1.24525 + 3.07324i −0.164938 + 0.407060i
\(58\) 2.76102 3.46222i 0.362540 0.454611i
\(59\) 1.09769 0.748389i 0.142906 0.0974320i −0.489756 0.871859i \(-0.662914\pi\)
0.632663 + 0.774427i \(0.281962\pi\)
\(60\) −0.479019 0.0775863i −0.0618411 0.0100164i
\(61\) −7.80656 + 7.24343i −0.999528 + 0.927427i −0.997363 0.0725711i \(-0.976880\pi\)
−0.00216487 + 0.999998i \(0.500689\pi\)
\(62\) 4.11643 + 5.16184i 0.522787 + 0.655554i
\(63\) −5.33669 5.87535i −0.672359 0.740225i
\(64\) 5.54754 6.95640i 0.693443 0.869550i
\(65\) −0.0850935 1.13549i −0.0105546 0.140841i
\(66\) 1.22459 0.573260i 0.150736 0.0705634i
\(67\) −3.06176 + 5.30313i −0.374054 + 0.647881i −0.990185 0.139763i \(-0.955366\pi\)
0.616131 + 0.787644i \(0.288699\pi\)
\(68\) −0.246619 −0.0299069
\(69\) 0.929317 10.8078i 0.111877 1.30110i
\(70\) 1.73982 1.03098i 0.207949 0.123225i
\(71\) 0.464838 2.03659i 0.0551661 0.241699i −0.939826 0.341654i \(-0.889013\pi\)
0.994992 + 0.0999554i \(0.0318700\pi\)
\(72\) 6.84610 6.07815i 0.806821 0.716316i
\(73\) −0.428904 0.0646468i −0.0501994 0.00756634i 0.123895 0.992295i \(-0.460462\pi\)
−0.174094 + 0.984729i \(0.555700\pi\)
\(74\) −3.71585 + 4.65952i −0.431958 + 0.541659i
\(75\) −4.07836 + 6.88821i −0.470928 + 0.795382i
\(76\) −0.833316 + 0.257044i −0.0955879 + 0.0294850i
\(77\) 0.704054 1.50543i 0.0802344 0.171560i
\(78\) 3.26781 + 2.28089i 0.370006 + 0.258260i
\(79\) 3.84604 + 6.66153i 0.432713 + 0.749481i 0.997106 0.0760256i \(-0.0242231\pi\)
−0.564393 + 0.825506i \(0.690890\pi\)
\(80\) 0.886137 + 1.53483i 0.0990731 + 0.171600i
\(81\) 7.65148 4.73865i 0.850165 0.526517i
\(82\) −0.763167 + 0.520318i −0.0842777 + 0.0574596i
\(83\) −4.35329 11.0920i −0.477836 1.21751i −0.943152 0.332361i \(-0.892155\pi\)
0.465317 0.885144i \(-0.345940\pi\)
\(84\) 0.310354 2.06422i 0.0338624 0.225225i
\(85\) 0.121657 0.309978i 0.0131956 0.0336218i
\(86\) 0.671295 + 2.94113i 0.0723876 + 0.317151i
\(87\) 6.09237 + 0.986776i 0.653171 + 0.105794i
\(88\) 1.72706 + 0.831709i 0.184105 + 0.0886605i
\(89\) 4.94438 + 12.5981i 0.524104 + 1.33539i 0.910671 + 0.413133i \(0.135565\pi\)
−0.386567 + 0.922261i \(0.626339\pi\)
\(90\) 0.790721 + 2.15249i 0.0833493 + 0.226892i
\(91\) 4.88002 0.421423i 0.511565 0.0441772i
\(92\) 2.35712 1.60706i 0.245747 0.167547i
\(93\) −3.45549 + 8.52804i −0.358318 + 0.884317i
\(94\) 0.810721 + 0.752239i 0.0836195 + 0.0775876i
\(95\) 0.0879946 1.17421i 0.00902805 0.120471i
\(96\) 4.31249 + 0.698490i 0.440141 + 0.0712893i
\(97\) 0.579943 1.00449i 0.0588843 0.101991i −0.835081 0.550128i \(-0.814579\pi\)
0.893965 + 0.448137i \(0.147912\pi\)
\(98\) 4.51949 + 7.43331i 0.456538 + 0.750877i
\(99\) 1.53333 + 1.09547i 0.154106 + 0.110099i
\(100\) −2.08173 + 0.313771i −0.208173 + 0.0313771i
\(101\) −14.0534 + 6.76778i −1.39837 + 0.673419i −0.972830 0.231521i \(-0.925630\pi\)
−0.425539 + 0.904940i \(0.639916\pi\)
\(102\) 0.571592 + 1.01561i 0.0565961 + 0.100560i
\(103\) −4.24557 + 2.04456i −0.418328 + 0.201456i −0.631194 0.775625i \(-0.717435\pi\)
0.212866 + 0.977082i \(0.431720\pi\)
\(104\) 0.422198 + 5.63384i 0.0413999 + 0.552443i
\(105\) 2.44145 + 1.40837i 0.238261 + 0.137443i
\(106\) −0.379842 + 5.06865i −0.0368936 + 0.492310i
\(107\) 2.84119 + 7.23923i 0.274668 + 0.699843i 0.999935 + 0.0113756i \(0.00362105\pi\)
−0.725267 + 0.688468i \(0.758284\pi\)
\(108\) 2.23757 + 0.771737i 0.215310 + 0.0742605i
\(109\) 3.74451 9.54087i 0.358659 0.913849i −0.631686 0.775225i \(-0.717637\pi\)
0.990345 0.138625i \(-0.0442681\pi\)
\(110\) −0.351970 + 0.326580i −0.0335590 + 0.0311382i
\(111\) −8.19924 1.32802i −0.778237 0.126050i
\(112\) −6.55864 + 3.88649i −0.619734 + 0.367239i
\(113\) 3.03034 + 0.456750i 0.285070 + 0.0429675i 0.290021 0.957020i \(-0.406338\pi\)
−0.00495052 + 0.999988i \(0.501576\pi\)
\(114\) 2.98993 + 2.83595i 0.280033 + 0.265611i
\(115\) 0.857159 + 3.75546i 0.0799305 + 0.350198i
\(116\) 0.811557 + 1.40566i 0.0753512 + 0.130512i
\(117\) −0.536513 + 5.52805i −0.0496007 + 0.511068i
\(118\) −0.367397 1.60967i −0.0338216 0.148182i
\(119\) 1.33926 + 0.508168i 0.122770 + 0.0465837i
\(120\) −1.65627 + 2.79739i −0.151196 + 0.255366i
\(121\) 2.35993 10.3395i 0.214539 0.939957i
\(122\) 4.83522 + 12.3199i 0.437760 + 1.11539i
\(123\) −1.15362 0.571237i −0.104019 0.0515067i
\(124\) −2.31240 + 0.713281i −0.207660 + 0.0640545i
\(125\) 1.31685 5.76952i 0.117783 0.516041i
\(126\) −9.22004 + 3.50620i −0.821387 + 0.312358i
\(127\) −3.52649 15.4506i −0.312925 1.37102i −0.849690 0.527283i \(-0.823211\pi\)
0.536764 0.843732i \(-0.319646\pi\)
\(128\) −3.00657 5.20753i −0.265746 0.460285i
\(129\) −3.11329 + 2.82577i −0.274110 + 0.248795i
\(130\) −1.35225 0.417114i −0.118600 0.0365833i
\(131\) 0.197451 + 0.0950872i 0.0172513 + 0.00830780i 0.442490 0.896774i \(-0.354095\pi\)
−0.425238 + 0.905081i \(0.639810\pi\)
\(132\) 0.0316096 + 0.494584i 0.00275126 + 0.0430480i
\(133\) 5.05498 + 0.321203i 0.438323 + 0.0278518i
\(134\) 4.74486 + 5.94987i 0.409893 + 0.513990i
\(135\) −2.07380 + 2.43173i −0.178484 + 0.209290i
\(136\) −0.603612 + 1.53798i −0.0517593 + 0.131881i
\(137\) 16.2851 + 7.84249i 1.39133 + 0.670029i 0.971383 0.237520i \(-0.0763346\pi\)
0.419946 + 0.907549i \(0.362049\pi\)
\(138\) −12.0812 5.98222i −1.02842 0.509241i
\(139\) 12.4261 + 8.47195i 1.05396 + 0.718581i 0.960849 0.277074i \(-0.0893648\pi\)
0.0931163 + 0.995655i \(0.470317\pi\)
\(140\) 0.118784 + 0.731670i 0.0100391 + 0.0618374i
\(141\) −0.359457 + 1.49886i −0.0302718 + 0.126227i
\(142\) −2.14501 1.46244i −0.180005 0.122725i
\(143\) −1.11126 + 0.342777i −0.0929278 + 0.0286644i
\(144\) −2.98079 8.11427i −0.248400 0.676189i
\(145\) −2.16713 + 0.326643i −0.179971 + 0.0271262i
\(146\) −0.269526 + 0.466832i −0.0223061 + 0.0386353i
\(147\) −5.93879 + 10.5703i −0.489824 + 0.871822i
\(148\) −1.09221 1.89177i −0.0897792 0.155502i
\(149\) −7.50423 9.41000i −0.614770 0.770897i 0.372828 0.927900i \(-0.378388\pi\)
−0.987598 + 0.157003i \(0.949817\pi\)
\(150\) 6.11702 + 7.84561i 0.499452 + 0.640591i
\(151\) 3.93330 17.2329i 0.320087 1.40239i −0.517310 0.855798i \(-0.673067\pi\)
0.837397 0.546595i \(-0.184076\pi\)
\(152\) −0.436592 + 5.82591i −0.0354123 + 0.472544i
\(153\) −0.842790 + 1.38846i −0.0681356 + 0.112250i
\(154\) −1.42191 1.49802i −0.114581 0.120714i
\(155\) 0.244180 3.25835i 0.0196130 0.261717i
\(156\) −1.21581 + 0.809521i −0.0973424 + 0.0648136i
\(157\) −1.95013 + 1.32957i −0.155637 + 0.106112i −0.638635 0.769510i \(-0.720500\pi\)
0.482997 + 0.875622i \(0.339548\pi\)
\(158\) 9.45273 1.42477i 0.752019 0.113349i
\(159\) −6.41578 + 3.00339i −0.508804 + 0.238184i
\(160\) −1.53401 + 0.231214i −0.121274 + 0.0182791i
\(161\) −16.1118 + 3.87020i −1.26979 + 0.305014i
\(162\) −2.00793 11.0033i −0.157758 0.864498i
\(163\) −8.08583 + 5.51283i −0.633331 + 0.431798i −0.836970 0.547248i \(-0.815675\pi\)
0.203639 + 0.979046i \(0.434723\pi\)
\(164\) −0.0753344 0.330061i −0.00588263 0.0257735i
\(165\) −0.637242 0.204249i −0.0496092 0.0159007i
\(166\) −14.8085 −1.14936
\(167\) 17.7349 16.4556i 1.37237 1.27337i 0.446881 0.894593i \(-0.352535\pi\)
0.925487 0.378778i \(-0.123656\pi\)
\(168\) −12.1134 6.98774i −0.934571 0.539116i
\(169\) 7.01717 + 6.51098i 0.539782 + 0.500845i
\(170\) −0.303366 0.281483i −0.0232671 0.0215887i
\(171\) −1.40061 + 5.56997i −0.107107 + 0.425946i
\(172\) −1.09338 0.164801i −0.0833698 0.0125660i
\(173\) 14.9608 4.61480i 1.13745 0.350857i 0.331859 0.943329i \(-0.392324\pi\)
0.805591 + 0.592472i \(0.201848\pi\)
\(174\) 3.90772 6.60002i 0.296244 0.500346i
\(175\) 11.9514 + 2.58556i 0.903441 + 0.195450i
\(176\) 1.32683 1.23112i 0.100013 0.0927989i
\(177\) 1.70389 1.54653i 0.128072 0.116244i
\(178\) 16.8192 1.26065
\(179\) −3.84464 + 3.56731i −0.287362 + 0.266633i −0.810660 0.585516i \(-0.800892\pi\)
0.523299 + 0.852149i \(0.324701\pi\)
\(180\) −0.840295 0.0184476i −0.0626319 0.00137500i
\(181\) −9.64599 + 12.0957i −0.716981 + 0.899066i −0.998163 0.0605888i \(-0.980702\pi\)
0.281182 + 0.959655i \(0.409274\pi\)
\(182\) 1.72818 5.83687i 0.128101 0.432658i
\(183\) −11.6580 + 14.2940i −0.861787 + 1.05665i
\(184\) −4.25286 18.6330i −0.313525 1.37364i
\(185\) 2.91657 0.439603i 0.214431 0.0323202i
\(186\) 8.29688 + 7.86958i 0.608357 + 0.577026i
\(187\) −0.336288 0.0506872i −0.0245918 0.00370662i
\(188\) −0.365220 + 0.175881i −0.0266364 + 0.0128274i
\(189\) −10.5609 8.80153i −0.768194 0.640217i
\(190\) −1.31845 0.634930i −0.0956501 0.0460627i
\(191\) −19.9042 13.5705i −1.44022 0.981925i −0.996308 0.0858539i \(-0.972638\pi\)
−0.443911 0.896071i \(-0.646409\pi\)
\(192\) 7.85153 13.2610i 0.566635 0.957029i
\(193\) 1.88998 25.2200i 0.136044 1.81538i −0.344914 0.938634i \(-0.612092\pi\)
0.480957 0.876744i \(-0.340289\pi\)
\(194\) −0.898746 1.12699i −0.0645262 0.0809133i
\(195\) −0.417738 1.92750i −0.0299148 0.138031i
\(196\) −3.14138 + 0.546636i −0.224385 + 0.0390454i
\(197\) 15.8395 1.12852 0.564258 0.825598i \(-0.309162\pi\)
0.564258 + 0.825598i \(0.309162\pi\)
\(198\) 1.96350 1.27648i 0.139540 0.0907154i
\(199\) 11.4300 + 7.79284i 0.810251 + 0.552420i 0.896081 0.443890i \(-0.146402\pi\)
−0.0858301 + 0.996310i \(0.527354\pi\)
\(200\) −3.13839 + 13.7502i −0.221918 + 0.972286i
\(201\) −3.98303 + 9.82997i −0.280941 + 0.693353i
\(202\) 1.44864 + 19.3308i 0.101926 + 1.36011i
\(203\) −1.51075 9.30569i −0.106034 0.653132i
\(204\) −0.423058 + 0.0590248i −0.0296200 + 0.00413256i
\(205\) 0.452021 + 0.0681312i 0.0315705 + 0.00475849i
\(206\) 0.437637 + 5.83985i 0.0304916 + 0.406882i
\(207\) −0.992515 18.7625i −0.0689846 1.30408i
\(208\) 5.09760 + 1.57240i 0.353455 + 0.109026i
\(209\) −1.18914 + 0.179233i −0.0822542 + 0.0123978i
\(210\) 2.73780 2.18498i 0.188926 0.150778i
\(211\) 16.4946 + 2.48617i 1.13554 + 0.171155i 0.689794 0.724006i \(-0.257701\pi\)
0.445743 + 0.895161i \(0.352939\pi\)
\(212\) −1.67852 0.808332i −0.115281 0.0555165i
\(213\) 0.309970 3.60489i 0.0212388 0.247003i
\(214\) 9.66483 0.660674
\(215\) 0.746509 1.29299i 0.0509115 0.0881813i
\(216\) 10.2893 12.0652i 0.700100 0.820932i
\(217\) 14.0273 + 0.891318i 0.952233 + 0.0605066i
\(218\) −9.33736 8.66380i −0.632406 0.586787i
\(219\) −0.751229 0.00824512i −0.0507633 0.000557154i
\(220\) −0.0642951 0.163821i −0.00433477 0.0110448i
\(221\) −0.366193 0.933044i −0.0246328 0.0627633i
\(222\) −5.25910 + 8.88245i −0.352968 + 0.596151i
\(223\) −5.54108 5.14137i −0.371058 0.344291i 0.472499 0.881331i \(-0.343352\pi\)
−0.843557 + 0.537040i \(0.819542\pi\)
\(224\) −1.06939 6.58704i −0.0714514 0.440115i
\(225\) −5.34756 + 12.7924i −0.356504 + 0.852826i
\(226\) 1.90428 3.29832i 0.126671 0.219401i
\(227\) −22.1374 −1.46931 −0.734656 0.678440i \(-0.762656\pi\)
−0.734656 + 0.678440i \(0.762656\pi\)
\(228\) −1.36798 + 0.640385i −0.0905967 + 0.0424106i
\(229\) −24.3252 11.7144i −1.60745 0.774109i −0.607655 0.794201i \(-0.707890\pi\)
−0.999798 + 0.0200923i \(0.993604\pi\)
\(230\) 4.73374 + 0.713497i 0.312134 + 0.0470466i
\(231\) 0.847454 2.75097i 0.0557584 0.181001i
\(232\) 10.7524 1.62066i 0.705929 0.106402i
\(233\) −6.82976 2.10670i −0.447433 0.138015i 0.0628471 0.998023i \(-0.479982\pi\)
−0.510280 + 0.860008i \(0.670458\pi\)
\(234\) 6.15161 + 3.13061i 0.402143 + 0.204654i
\(235\) −0.0409030 0.545813i −0.00266822 0.0356049i
\(236\) 0.598404 + 0.0901949i 0.0389528 + 0.00587119i
\(237\) 8.19197 + 10.5069i 0.532126 + 0.682498i
\(238\) 1.19596 1.31862i 0.0775223 0.0854736i
\(239\) −1.19514 15.9480i −0.0773071 1.03159i −0.892100 0.451839i \(-0.850768\pi\)
0.814793 0.579752i \(-0.196851\pi\)
\(240\) 1.88745 + 2.42082i 0.121835 + 0.156264i
\(241\) 3.68594 16.1492i 0.237432 1.04026i −0.705874 0.708337i \(-0.749446\pi\)
0.943307 0.331922i \(-0.107697\pi\)
\(242\) −10.8900 7.42464i −0.700033 0.477274i
\(243\) 11.9915 9.96013i 0.769254 0.638943i
\(244\) −4.85094 −0.310549
\(245\) 0.862576 4.21810i 0.0551080 0.269485i
\(246\) −1.18463 + 1.07523i −0.0755294 + 0.0685539i
\(247\) −2.20984 2.77105i −0.140609 0.176318i
\(248\) −1.21151 + 16.1665i −0.0769313 + 1.02658i
\(249\) −10.1225 17.9857i −0.641488 1.13980i
\(250\) −6.07666 4.14299i −0.384321 0.262026i
\(251\) 6.50357 + 3.13196i 0.410502 + 0.197687i 0.627726 0.778434i \(-0.283986\pi\)
−0.217224 + 0.976122i \(0.569700\pi\)
\(252\) 0.0383487 3.61532i 0.00241574 0.227744i
\(253\) 3.54445 1.70692i 0.222838 0.107313i
\(254\) −19.4754 2.93544i −1.22199 0.184186i
\(255\) 0.134506 0.560864i 0.00842311 0.0351227i
\(256\) 10.2069 1.53844i 0.637929 0.0961524i
\(257\) −5.14746 22.5525i −0.321090 1.40679i −0.835617 0.549312i \(-0.814890\pi\)
0.514528 0.857474i \(-0.327967\pi\)
\(258\) 1.85548 + 4.88466i 0.115517 + 0.304106i
\(259\) 2.03320 + 12.5238i 0.126337 + 0.778191i
\(260\) 0.323393 0.405522i 0.0200560 0.0251494i
\(261\) 10.6872 + 0.234624i 0.661523 + 0.0145229i
\(262\) 0.199653 0.185251i 0.0123346 0.0114448i
\(263\) 10.8602 0.669670 0.334835 0.942277i \(-0.391319\pi\)
0.334835 + 0.942277i \(0.391319\pi\)
\(264\) 3.16172 + 1.01339i 0.194591 + 0.0623701i
\(265\) 1.84402 1.71100i 0.113277 0.105106i
\(266\) 2.66673 5.70210i 0.163508 0.349618i
\(267\) 11.4970 + 20.4278i 0.703602 + 1.25016i
\(268\) −2.66542 + 0.822174i −0.162817 + 0.0502223i
\(269\) −22.3592 3.37011i −1.36326 0.205479i −0.573659 0.819094i \(-0.694477\pi\)
−0.789605 + 0.613615i \(0.789715\pi\)
\(270\) 1.87160 + 3.50320i 0.113902 + 0.213198i
\(271\) 19.6085 + 18.1940i 1.19113 + 1.10521i 0.992131 + 0.125208i \(0.0399598\pi\)
0.199000 + 0.980000i \(0.436231\pi\)
\(272\) 1.14360 + 1.06111i 0.0693412 + 0.0643392i
\(273\) 8.27050 1.89089i 0.500553 0.114442i
\(274\) 16.4667 15.2789i 0.994791 0.923031i
\(275\) −2.90313 −0.175065
\(276\) 3.65886 3.32095i 0.220238 0.199898i
\(277\) −6.36320 27.8790i −0.382327 1.67509i −0.690169 0.723648i \(-0.742464\pi\)
0.307842 0.951438i \(-0.400393\pi\)
\(278\) 15.4428 10.5287i 0.926197 0.631470i
\(279\) −3.88660 + 15.4563i −0.232685 + 0.925346i
\(280\) 4.85362 + 1.05003i 0.290059 + 0.0627513i
\(281\) −10.7464 + 1.61976i −0.641078 + 0.0966269i −0.461533 0.887123i \(-0.652700\pi\)
−0.179544 + 0.983750i \(0.557462\pi\)
\(282\) 1.57078 + 1.09638i 0.0935385 + 0.0652886i
\(283\) −6.38840 + 0.962897i −0.379751 + 0.0572383i −0.336144 0.941810i \(-0.609123\pi\)
−0.0436068 + 0.999049i \(0.513885\pi\)
\(284\) 0.786207 0.536027i 0.0466528 0.0318073i
\(285\) −0.130081 2.03534i −0.00770536 0.120563i
\(286\) −0.108003 + 1.44121i −0.00638638 + 0.0852203i
\(287\) −0.271001 + 1.94763i −0.0159967 + 0.114965i
\(288\) 7.56497 + 0.166079i 0.445770 + 0.00978629i
\(289\) −1.24851 + 16.6602i −0.0734416 + 0.980009i
\(290\) −0.606075 + 2.65539i −0.0355900 + 0.155930i
\(291\) 0.754443 1.86194i 0.0442262 0.109149i
\(292\) −0.123188 0.154473i −0.00720902 0.00903982i
\(293\) −10.5801 18.3253i −0.618097 1.07057i −0.989833 0.142236i \(-0.954571\pi\)
0.371736 0.928338i \(-0.378763\pi\)
\(294\) 9.53196 + 11.6697i 0.555915 + 0.680589i
\(295\) −0.408561 + 0.707649i −0.0237874 + 0.0412009i
\(296\) −14.4708 + 2.18112i −0.841098 + 0.126775i
\(297\) 2.89252 + 1.51222i 0.167841 + 0.0877480i
\(298\) −14.2933 + 4.40890i −0.827989 + 0.255401i
\(299\) 9.58004 + 6.53156i 0.554028 + 0.377730i
\(300\) −3.49598 + 1.03649i −0.201840 + 0.0598416i
\(301\) 5.59805 + 3.14792i 0.322666 + 0.181443i
\(302\) −18.1503 12.3747i −1.04443 0.712081i
\(303\) −22.4880 + 14.9732i −1.29190 + 0.860187i
\(304\) 4.97017 + 2.39351i 0.285059 + 0.137277i
\(305\) 2.39298 6.09721i 0.137021 0.349125i
\(306\) 1.22360 + 1.60541i 0.0699486 + 0.0917749i
\(307\) 15.2735 + 19.1524i 0.871705 + 1.09308i 0.994916 + 0.100704i \(0.0321094\pi\)
−0.123211 + 0.992380i \(0.539319\pi\)
\(308\) 0.701517 0.284550i 0.0399727 0.0162137i
\(309\) −6.79366 + 4.52342i −0.386478 + 0.257329i
\(310\) −3.65861 1.76189i −0.207795 0.100069i
\(311\) 10.1671 + 3.13613i 0.576522 + 0.177834i 0.569285 0.822140i \(-0.307220\pi\)
0.00723717 + 0.999974i \(0.497696\pi\)
\(312\) 2.07264 + 9.56344i 0.117340 + 0.541423i
\(313\) −2.41430 4.18169i −0.136464 0.236363i 0.789692 0.613504i \(-0.210241\pi\)
−0.926156 + 0.377141i \(0.876907\pi\)
\(314\) 0.652710 + 2.85971i 0.0368346 + 0.161383i
\(315\) 4.52522 + 1.83164i 0.254967 + 0.103201i
\(316\) −0.779677 + 3.41599i −0.0438602 + 0.192164i
\(317\) −17.1700 + 5.29624i −0.964363 + 0.297467i −0.736660 0.676264i \(-0.763598\pi\)
−0.227704 + 0.973730i \(0.573122\pi\)
\(318\) 0.561517 + 8.78584i 0.0314883 + 0.492686i
\(319\) 0.817732 + 2.08355i 0.0457842 + 0.116656i
\(320\) −1.21775 + 5.33530i −0.0680741 + 0.298252i
\(321\) 6.60649 + 11.7384i 0.368738 + 0.655176i
\(322\) −2.83803 + 20.3964i −0.158157 + 1.13665i
\(323\) −0.230644 1.01052i −0.0128334 0.0562266i
\(324\) 4.02310 + 0.788334i 0.223506 + 0.0437963i
\(325\) −4.27817 7.41001i −0.237310 0.411034i
\(326\) 2.70634 + 11.8572i 0.149890 + 0.656712i
\(327\) 4.13999 17.2629i 0.228942 0.954643i
\(328\) −2.24274 0.338038i −0.123834 0.0186650i
\(329\) 2.34574 0.202571i 0.129325 0.0111681i
\(330\) −0.525619 + 0.644467i −0.0289344 + 0.0354767i
\(331\) −5.04213 + 4.67841i −0.277140 + 0.257149i −0.806480 0.591261i \(-0.798630\pi\)
0.529340 + 0.848410i \(0.322440\pi\)
\(332\) 1.98298 5.05255i 0.108830 0.277295i
\(333\) −14.3831 0.315762i −0.788189 0.0173037i
\(334\) −10.9846 27.9883i −0.601051 1.53145i
\(335\) 0.281457 3.75578i 0.0153776 0.205200i
\(336\) −10.3208 + 8.23674i −0.563043 + 0.449351i
\(337\) 2.16997 + 28.9562i 0.118206 + 1.57734i 0.669358 + 0.742940i \(0.266569\pi\)
−0.551152 + 0.834405i \(0.685812\pi\)
\(338\) 10.7184 5.16170i 0.583003 0.280759i
\(339\) 5.30767 + 0.0582544i 0.288273 + 0.00316395i
\(340\) 0.136663 0.0658133i 0.00741158 0.00356923i
\(341\) −3.29978 + 0.497361i −0.178693 + 0.0269336i
\(342\) 5.80778 + 4.14929i 0.314049 + 0.224368i
\(343\) 18.1857 + 3.50444i 0.981934 + 0.189222i
\(344\) −3.70386 + 6.41527i −0.199699 + 0.345888i
\(345\) 2.36922 + 6.23710i 0.127555 + 0.335794i
\(346\) 1.45405 19.4029i 0.0781702 1.04311i
\(347\) 9.41347 + 8.73443i 0.505342 + 0.468889i 0.891162 0.453685i \(-0.149891\pi\)
−0.385820 + 0.922574i \(0.626081\pi\)
\(348\) 1.72860 + 2.21708i 0.0926627 + 0.118848i
\(349\) 10.7975 7.36162i 0.577978 0.394058i −0.238751 0.971081i \(-0.576738\pi\)
0.816728 + 0.577022i \(0.195785\pi\)
\(350\) 8.41752 12.6522i 0.449935 0.676290i
\(351\) 0.402709 + 9.61141i 0.0214950 + 0.513019i
\(352\) 0.578832 + 1.47484i 0.0308519 + 0.0786092i
\(353\) −11.6507 5.61070i −0.620106 0.298627i 0.0973296 0.995252i \(-0.468970\pi\)
−0.717435 + 0.696625i \(0.754684\pi\)
\(354\) −1.01550 2.67335i −0.0539731 0.142087i
\(355\) 0.285902 + 1.25262i 0.0151741 + 0.0664820i
\(356\) −2.25223 + 5.73859i −0.119368 + 0.304144i
\(357\) 2.41904 + 0.551194i 0.128029 + 0.0291723i
\(358\) 2.38129 + 6.06742i 0.125855 + 0.320673i
\(359\) 17.9672 12.2499i 0.948275 0.646523i 0.0128010 0.999918i \(-0.495925\pi\)
0.935474 + 0.353395i \(0.114973\pi\)
\(360\) −2.17171 + 5.19515i −0.114459 + 0.273809i
\(361\) 7.66743 + 13.2804i 0.403549 + 0.698967i
\(362\) 9.61346 + 16.6510i 0.505272 + 0.875157i
\(363\) 1.57368 18.3016i 0.0825968 0.960585i
\(364\) 1.76008 + 1.37124i 0.0922532 + 0.0718728i
\(365\) 0.254927 0.0786347i 0.0133435 0.00411593i
\(366\) 11.2431 + 19.9768i 0.587687 + 1.04420i
\(367\) 3.74487 4.69592i 0.195481 0.245125i −0.674425 0.738344i \(-0.735608\pi\)
0.869905 + 0.493218i \(0.164180\pi\)
\(368\) −17.8449 2.68968i −0.930229 0.140209i
\(369\) −2.11569 0.703816i −0.110138 0.0366392i
\(370\) 0.815669 3.57368i 0.0424046 0.185787i
\(371\) 7.44961 + 7.84831i 0.386764 + 0.407464i
\(372\) −3.79606 + 1.77703i −0.196817 + 0.0921347i
\(373\) 34.2488 1.77333 0.886667 0.462409i \(-0.153015\pi\)
0.886667 + 0.462409i \(0.153015\pi\)
\(374\) −0.211325 + 0.366026i −0.0109274 + 0.0189267i
\(375\) 0.878123 10.2124i 0.0453461 0.527366i
\(376\) 0.202943 + 2.70809i 0.0104660 + 0.139659i
\(377\) −4.11305 + 5.15761i −0.211833 + 0.265630i
\(378\) −14.9772 + 8.22136i −0.770345 + 0.422861i
\(379\) −8.84667 11.0934i −0.454423 0.569828i 0.500857 0.865530i \(-0.333018\pi\)
−0.955280 + 0.295701i \(0.904447\pi\)
\(380\) 0.393184 0.364821i 0.0201699 0.0187149i
\(381\) −9.74735 25.6604i −0.499372 1.31462i
\(382\) −24.7365 + 16.8650i −1.26563 + 0.862890i
\(383\) 19.5587 24.5258i 0.999401 1.25321i 0.0321248 0.999484i \(-0.489773\pi\)
0.967276 0.253725i \(-0.0816560\pi\)
\(384\) −6.40393 8.21360i −0.326799 0.419149i
\(385\) 0.0115946 + 1.02211i 0.000590917 + 0.0520918i
\(386\) −28.3181 13.6373i −1.44135 0.694119i
\(387\) −4.66434 + 5.59254i −0.237102 + 0.284285i
\(388\) 0.504870 0.155732i 0.0256309 0.00790608i
\(389\) −6.25401 + 3.01177i −0.317091 + 0.152703i −0.585659 0.810558i \(-0.699164\pi\)
0.268568 + 0.963261i \(0.413450\pi\)
\(390\) −2.41953 0.391889i −0.122518 0.0198441i
\(391\) 1.69540 + 2.93651i 0.0857398 + 0.148506i
\(392\) −4.27974 + 20.9284i −0.216159 + 1.05705i
\(393\) 0.361471 + 0.115859i 0.0182338 + 0.00584430i
\(394\) 7.19170 18.3242i 0.362313 0.923158i
\(395\) −3.90898 2.66510i −0.196682 0.134096i
\(396\) 0.172596 + 0.840861i 0.00867328 + 0.0422548i
\(397\) −1.14956 + 15.3398i −0.0576947 + 0.769882i 0.891063 + 0.453879i \(0.149960\pi\)
−0.948758 + 0.316003i \(0.897659\pi\)
\(398\) 14.2049 9.68474i 0.712028 0.485452i
\(399\) 8.74837 0.658839i 0.437966 0.0329832i
\(400\) 11.0033 + 7.50194i 0.550166 + 0.375097i
\(401\) −16.1431 + 20.2428i −0.806149 + 1.01088i 0.193408 + 0.981118i \(0.438046\pi\)
−0.999557 + 0.0297609i \(0.990525\pi\)
\(402\) 9.56352 + 9.07099i 0.476985 + 0.452420i
\(403\) −6.13217 7.68950i −0.305465 0.383041i
\(404\) −6.78949 2.09428i −0.337790 0.104194i
\(405\) −2.97547 + 4.66780i −0.147852 + 0.231945i
\(406\) −11.4514 2.47739i −0.568322 0.122951i
\(407\) −1.10052 2.80408i −0.0545508 0.138993i
\(408\) −0.667363 + 2.78277i −0.0330394 + 0.137768i
\(409\) −29.6218 9.13712i −1.46471 0.451802i −0.543013 0.839724i \(-0.682717\pi\)
−0.921692 + 0.387922i \(0.873193\pi\)
\(410\) 0.284053 0.491994i 0.0140284 0.0242978i
\(411\) 29.8130 + 9.55566i 1.47057 + 0.471346i
\(412\) −2.05112 0.632685i −0.101051 0.0311702i
\(413\) −3.06379 1.72284i −0.150759 0.0847755i
\(414\) −22.1563 7.37064i −1.08892 0.362247i
\(415\) 5.37240 + 4.98486i 0.263721 + 0.244697i
\(416\) −2.91143 + 3.65081i −0.142744 + 0.178996i
\(417\) 23.3438 + 11.5591i 1.14315 + 0.566050i
\(418\) −0.332562 + 1.45705i −0.0162661 + 0.0712666i
\(419\) 26.5324 8.18416i 1.29619 0.399822i 0.431495 0.902115i \(-0.357986\pi\)
0.864698 + 0.502293i \(0.167510\pi\)
\(420\) 0.378882 + 1.22670i 0.0184876 + 0.0598570i
\(421\) −10.6092 3.27250i −0.517060 0.159492i 0.0252324 0.999682i \(-0.491967\pi\)
−0.542293 + 0.840190i \(0.682444\pi\)
\(422\) 10.3653 17.9533i 0.504576 0.873951i
\(423\) −0.257893 + 2.65724i −0.0125392 + 0.129199i
\(424\) −9.14924 + 8.48925i −0.444326 + 0.412274i
\(425\) −0.186992 2.49523i −0.00907044 0.121037i
\(426\) −4.02963 1.99534i −0.195236 0.0966747i
\(427\) 26.3431 + 9.99556i 1.27483 + 0.483719i
\(428\) −1.29420 + 3.29756i −0.0625574 + 0.159394i
\(429\) −1.82425 + 0.853975i −0.0880755 + 0.0412303i
\(430\) −1.15688 1.45068i −0.0557895 0.0699578i
\(431\) 0.342015 + 4.56387i 0.0164743 + 0.219834i 0.999365 + 0.0356422i \(0.0113477\pi\)
−0.982890 + 0.184192i \(0.941033\pi\)
\(432\) −7.05540 13.2061i −0.339453 0.635378i
\(433\) −20.3405 + 9.79549i −0.977504 + 0.470741i −0.853246 0.521509i \(-0.825369\pi\)
−0.124258 + 0.992250i \(0.539655\pi\)
\(434\) 7.40002 15.8230i 0.355212 0.759527i
\(435\) −3.63940 + 1.07901i −0.174496 + 0.0517345i
\(436\) 4.20637 2.02568i 0.201449 0.0970125i
\(437\) 8.78934 + 8.15531i 0.420451 + 0.390121i
\(438\) −0.350624 + 0.865327i −0.0167534 + 0.0413469i
\(439\) −9.68603 + 24.6796i −0.462289 + 1.17789i 0.489736 + 0.871871i \(0.337093\pi\)
−0.952024 + 0.306022i \(0.901002\pi\)
\(440\) −1.17900 −0.0562065
\(441\) −7.65776 + 19.5540i −0.364655 + 0.931143i
\(442\) −1.24567 −0.0592505
\(443\) −2.44928 + 6.24066i −0.116369 + 0.296503i −0.977177 0.212427i \(-0.931863\pi\)
0.860808 + 0.508929i \(0.169959\pi\)
\(444\) −2.32639 2.98379i −0.110405 0.141605i
\(445\) −6.10187 5.66171i −0.289257 0.268391i
\(446\) −8.46372 + 4.07591i −0.400769 + 0.193000i
\(447\) −15.1252 14.3462i −0.715396 0.678553i
\(448\) −23.0085 4.97764i −1.08705 0.235172i
\(449\) 3.95311 1.90372i 0.186559 0.0898419i −0.338273 0.941048i \(-0.609843\pi\)
0.524831 + 0.851206i \(0.324128\pi\)
\(450\) 12.3711 + 11.9946i 0.583179 + 0.565431i
\(451\) −0.0348884 0.465553i −0.00164283 0.0219221i
\(452\) 0.870361 + 1.09140i 0.0409383 + 0.0513350i
\(453\) 2.62285 30.5033i 0.123232 1.43317i
\(454\) −10.0512 + 25.6100i −0.471726 + 1.20194i
\(455\) −2.59179 + 1.53583i −0.121505 + 0.0720007i
\(456\) 0.645409 + 10.0985i 0.0302240 + 0.472904i
\(457\) 0.628338 + 8.38459i 0.0293924 + 0.392215i 0.992427 + 0.122837i \(0.0391991\pi\)
−0.963035 + 0.269378i \(0.913182\pi\)
\(458\) −24.5965 + 22.8222i −1.14932 + 1.06641i
\(459\) −1.11344 + 2.58352i −0.0519711 + 0.120588i
\(460\) −0.877326 + 1.51957i −0.0409055 + 0.0708505i
\(461\) −11.8273 3.64825i −0.550854 0.169916i 0.00681868 0.999977i \(-0.497830\pi\)
−0.557673 + 0.830061i \(0.688306\pi\)
\(462\) −2.79773 2.22943i −0.130162 0.103723i
\(463\) −8.26038 + 2.54799i −0.383892 + 0.118415i −0.480694 0.876889i \(-0.659615\pi\)
0.0968012 + 0.995304i \(0.469139\pi\)
\(464\) 2.28473 10.0101i 0.106066 0.464706i
\(465\) −0.360968 5.64793i −0.0167395 0.261916i
\(466\) −5.53813 + 6.94460i −0.256549 + 0.321702i
\(467\) 17.9730 + 16.6765i 0.831691 + 0.771697i 0.975985 0.217838i \(-0.0699006\pi\)
−0.144294 + 0.989535i \(0.546091\pi\)
\(468\) −1.89189 + 1.67967i −0.0874526 + 0.0776427i
\(469\) 16.1687 + 1.02739i 0.746603 + 0.0474405i
\(470\) −0.650003 0.200499i −0.0299824 0.00924835i
\(471\) −3.02710 + 2.74754i −0.139481 + 0.126600i
\(472\) 2.02711 3.51105i 0.0933051 0.161609i
\(473\) −1.45706 0.449444i −0.0669958 0.0206655i
\(474\) 15.8746 4.70649i 0.729142 0.216176i
\(475\) −3.23256 8.23642i −0.148320 0.377913i
\(476\) 0.289755 + 0.584625i 0.0132809 + 0.0267963i
\(477\) −10.2870 + 6.68764i −0.471011 + 0.306206i
\(478\) −18.9923 5.85836i −0.868689 0.267955i
\(479\) −10.0977 12.6621i −0.461376 0.578548i 0.495660 0.868517i \(-0.334926\pi\)
−0.957036 + 0.289969i \(0.906355\pi\)
\(480\) −2.57615 + 0.763777i −0.117585 + 0.0348615i
\(481\) 5.53543 6.94121i 0.252394 0.316492i
\(482\) −17.0089 11.5964i −0.774733 0.528204i
\(483\) −26.7124 + 10.4952i −1.21546 + 0.477549i
\(484\) 3.99148 2.72135i 0.181431 0.123698i
\(485\) −0.0533121 + 0.711400i −0.00242078 + 0.0323030i
\(486\) −6.07796 18.3948i −0.275702 0.834405i
\(487\) 22.3734 + 15.2539i 1.01384 + 0.691221i 0.951758 0.306850i \(-0.0992749\pi\)
0.0620777 + 0.998071i \(0.480227\pi\)
\(488\) −11.8729 + 30.2517i −0.537462 + 1.36943i
\(489\) −12.5513 + 11.3921i −0.567589 + 0.515170i
\(490\) −4.48814 2.91306i −0.202753 0.131598i
\(491\) 14.0322 + 24.3045i 0.633264 + 1.09685i 0.986880 + 0.161455i \(0.0516187\pi\)
−0.353616 + 0.935391i \(0.615048\pi\)
\(492\) −0.208227 0.548169i −0.00938760 0.0247134i
\(493\) −1.73814 + 0.837042i −0.0782817 + 0.0376985i
\(494\) −4.20908 + 1.29833i −0.189376 + 0.0584147i
\(495\) −1.14203 0.197860i −0.0513305 0.00889314i
\(496\) 13.7919 + 6.64184i 0.619275 + 0.298227i
\(497\) −5.37401 + 1.29089i −0.241057 + 0.0579042i
\(498\) −25.4030 + 3.54422i −1.13834 + 0.158820i
\(499\) 5.40226 6.77421i 0.241838 0.303255i −0.646068 0.763280i \(-0.723588\pi\)
0.887906 + 0.460024i \(0.152159\pi\)
\(500\) 2.22727 1.51853i 0.0996066 0.0679106i
\(501\) 26.4847 32.4731i 1.18325 1.45079i
\(502\) 6.57611 6.10174i 0.293506 0.272334i
\(503\) 20.8507 + 26.1459i 0.929685 + 1.16579i 0.985894 + 0.167369i \(0.0535272\pi\)
−0.0562091 + 0.998419i \(0.517901\pi\)
\(504\) −22.4522 9.08784i −1.00010 0.404804i
\(505\) 5.98160 7.50068i 0.266178 0.333776i
\(506\) −0.365365 4.87546i −0.0162425 0.216741i
\(507\) 13.5958 + 9.48970i 0.603811 + 0.421452i
\(508\) 3.60946 6.25177i 0.160144 0.277377i
\(509\) 3.05718 0.135507 0.0677537 0.997702i \(-0.478417\pi\)
0.0677537 + 0.997702i \(0.478417\pi\)
\(510\) −0.587774 0.410258i −0.0260271 0.0181666i
\(511\) 0.350675 + 1.09270i 0.0155130 + 0.0483381i
\(512\) 5.53062 24.2312i 0.244421 1.07088i
\(513\) −1.06956 + 9.89014i −0.0472221 + 0.436661i
\(514\) −28.4273 4.28473i −1.25388 0.188991i
\(515\) 1.80705 2.26597i 0.0796281 0.0998505i
\(516\) −1.91507 0.0210189i −0.0843064 0.000925306i
\(517\) −0.534161 + 0.164767i −0.0234924 + 0.00724644i
\(518\) 15.4115 + 3.33412i 0.677142 + 0.146493i
\(519\) 24.5598 11.4971i 1.07806 0.504665i
\(520\) −1.73742 3.00930i −0.0761910 0.131967i
\(521\) −17.3397 30.0332i −0.759664 1.31578i −0.943022 0.332731i \(-0.892030\pi\)
0.183357 0.983046i \(-0.441303\pi\)
\(522\) 5.12382 12.2572i 0.224264 0.536482i
\(523\) 14.2379 9.70725i 0.622581 0.424468i −0.210520 0.977590i \(-0.567516\pi\)
0.833101 + 0.553121i \(0.186563\pi\)
\(524\) 0.0364710 + 0.0929265i 0.00159324 + 0.00405951i
\(525\) 21.1207 + 1.57496i 0.921782 + 0.0687367i
\(526\) 4.93094 12.5638i 0.214999 0.547809i
\(527\) −0.640022 2.80412i −0.0278798 0.122149i
\(528\) 1.98144 2.42946i 0.0862309 0.105729i
\(529\) −14.6173 7.03932i −0.635534 0.306057i
\(530\) −1.14215 2.91014i −0.0496116 0.126408i
\(531\) 2.55277 3.06077i 0.110781 0.132826i
\(532\) 1.58841 + 1.67343i 0.0688665 + 0.0725522i
\(533\) 1.13688 0.775110i 0.0492436 0.0335737i
\(534\) 28.8523 4.02545i 1.24856 0.174198i
\(535\) −3.50632 3.25339i −0.151591 0.140656i
\(536\) −1.39647 + 18.6346i −0.0603183 + 0.804892i
\(537\) −5.74145 + 7.03964i −0.247762 + 0.303783i
\(538\) −14.0506 + 24.3364i −0.605766 + 1.04922i
\(539\) −4.39592 + 0.0997454i −0.189346 + 0.00429634i
\(540\) −1.44589 + 0.169468i −0.0622211 + 0.00729273i
\(541\) −0.778220 + 0.117298i −0.0334583 + 0.00504303i −0.165750 0.986168i \(-0.553005\pi\)
0.132292 + 0.991211i \(0.457766\pi\)
\(542\) 29.9510 14.4236i 1.28651 0.619548i
\(543\) −13.6521 + 23.0580i −0.585869 + 0.989514i
\(544\) −1.23034 + 0.592501i −0.0527504 + 0.0254033i
\(545\) 0.471094 + 6.28631i 0.0201794 + 0.269276i
\(546\) 1.56760 10.4264i 0.0670871 0.446208i
\(547\) −0.568962 + 7.59227i −0.0243271 + 0.324622i 0.971742 + 0.236045i \(0.0758511\pi\)
−0.996069 + 0.0885775i \(0.971768\pi\)
\(548\) 3.00801 + 7.66428i 0.128496 + 0.327402i
\(549\) −16.5775 + 27.3107i −0.707511 + 1.16559i
\(550\) −1.31813 + 3.35853i −0.0562051 + 0.143208i
\(551\) −5.00068 + 4.63995i −0.213036 + 0.197669i
\(552\) −11.7551 30.9458i −0.500329 1.31714i
\(553\) 11.2728 16.9440i 0.479369 0.720532i
\(554\) −35.1414 5.29671i −1.49301 0.225036i
\(555\) 4.89798 1.45215i 0.207908 0.0616405i
\(556\) 1.52440 + 6.67884i 0.0646490 + 0.283246i
\(557\) 16.2620 + 28.1667i 0.689045 + 1.19346i 0.972147 + 0.234371i \(0.0753031\pi\)
−0.283102 + 0.959090i \(0.591364\pi\)
\(558\) 16.1162 + 11.5140i 0.682255 + 0.487427i
\(559\) −1.00002 4.38136i −0.0422962 0.185312i
\(560\) 2.59729 3.90394i 0.109756 0.164972i
\(561\) −0.589011 0.00646470i −0.0248681 0.000272940i
\(562\) −3.00542 + 13.1676i −0.126776 + 0.555441i
\(563\) −3.22975 8.22928i −0.136118 0.346823i 0.846520 0.532357i \(-0.178694\pi\)
−0.982638 + 0.185534i \(0.940598\pi\)
\(564\) −0.584417 + 0.389123i −0.0246084 + 0.0163850i
\(565\) −1.80114 + 0.555579i −0.0757746 + 0.0233734i
\(566\) −1.78662 + 7.82771i −0.0750974 + 0.329023i
\(567\) −20.2231 12.5708i −0.849291 0.527925i
\(568\) −1.41852 6.21495i −0.0595199 0.260774i
\(569\) 5.22975 + 9.05819i 0.219242 + 0.379739i 0.954577 0.297966i \(-0.0963081\pi\)
−0.735334 + 0.677705i \(0.762975\pi\)
\(570\) −2.41367 0.773629i −0.101098 0.0324038i
\(571\) 13.3558 + 4.11972i 0.558923 + 0.172405i 0.561330 0.827592i \(-0.310290\pi\)
−0.00240686 + 0.999997i \(0.500766\pi\)
\(572\) −0.477266 0.229839i −0.0199555 0.00961005i
\(573\) −37.3923 18.5155i −1.56209 0.773494i
\(574\) 2.13010 + 1.19781i 0.0889088 + 0.0499955i
\(575\) 18.0471 + 22.6303i 0.752616 + 0.943751i
\(576\) 10.2950 24.6275i 0.428956 1.02615i
\(577\) 10.3085 26.2657i 0.429150 1.09346i −0.538827 0.842416i \(-0.681132\pi\)
0.967977 0.251039i \(-0.0807723\pi\)
\(578\) 18.7067 + 9.00867i 0.778096 + 0.374711i
\(579\) −2.79394 43.7157i −0.116112 1.81676i
\(580\) −0.824840 0.562366i −0.0342496 0.0233510i
\(581\) −21.1796 + 23.3519i −0.878677 + 0.968800i
\(582\) −1.81147 1.71818i −0.0750879 0.0712208i
\(583\) −2.12268 1.44722i −0.0879126 0.0599378i
\(584\) −1.26484 + 0.390152i −0.0523395 + 0.0161446i
\(585\) −1.17792 3.20652i −0.0487011 0.132573i
\(586\) −26.0036 + 3.91942i −1.07420 + 0.161910i
\(587\) 20.4249 35.3769i 0.843025 1.46016i −0.0443011 0.999018i \(-0.514106\pi\)
0.887326 0.461143i \(-0.152561\pi\)
\(588\) −5.25801 + 1.68957i −0.216837 + 0.0696766i
\(589\) −5.08528 8.80795i −0.209535 0.362925i
\(590\) 0.633153 + 0.793949i 0.0260665 + 0.0326863i
\(591\) 27.1716 3.79097i 1.11769 0.155940i
\(592\) −3.07484 + 13.4718i −0.126375 + 0.553686i
\(593\) −1.13904 + 15.1995i −0.0467750 + 0.624168i 0.923723 + 0.383060i \(0.125130\pi\)
−0.970498 + 0.241108i \(0.922489\pi\)
\(594\) 3.06275 2.65965i 0.125666 0.109127i
\(595\) −0.877760 + 0.0758005i −0.0359846 + 0.00310752i
\(596\) 0.409706 5.46715i 0.0167822 0.223943i
\(597\) 21.4725 + 10.6325i 0.878812 + 0.435159i
\(598\) 11.9058 8.11726i 0.486866 0.331939i
\(599\) −36.3453 + 5.47817i −1.48503 + 0.223832i −0.840944 0.541122i \(-0.818000\pi\)
−0.644085 + 0.764954i \(0.722762\pi\)
\(600\) −2.09279 + 24.3387i −0.0854376 + 0.993624i
\(601\) 34.4396 5.19093i 1.40482 0.211742i 0.597506 0.801865i \(-0.296159\pi\)
0.807314 + 0.590122i \(0.200920\pi\)
\(602\) 6.18344 5.04693i 0.252018 0.205697i
\(603\) −4.47995 + 17.8160i −0.182438 + 0.725522i
\(604\) 6.65260 4.53567i 0.270691 0.184554i
\(605\) 1.45149 + 6.35939i 0.0590114 + 0.258546i
\(606\) 7.11161 + 32.8140i 0.288889 + 1.33298i
\(607\) 1.73696 0.0705011 0.0352505 0.999379i \(-0.488777\pi\)
0.0352505 + 0.999379i \(0.488777\pi\)
\(608\) −3.53973 + 3.28439i −0.143555 + 0.133200i
\(609\) −4.81879 15.6017i −0.195267 0.632214i
\(610\) −5.96715 5.53671i −0.241603 0.224175i
\(611\) −1.20772 1.12060i −0.0488590 0.0453346i
\(612\) −0.711602 + 0.202507i −0.0287648 + 0.00818584i
\(613\) −36.2650 5.46608i −1.46473 0.220773i −0.632224 0.774786i \(-0.717858\pi\)
−0.832508 + 0.554013i \(0.813096\pi\)
\(614\) 29.0915 8.97353i 1.17404 0.362142i
\(615\) 0.791719 + 0.00868953i 0.0319252 + 0.000350396i
\(616\) −0.0575276 5.07130i −0.00231785 0.204328i
\(617\) −15.0610 + 13.9746i −0.606334 + 0.562596i −0.922446 0.386126i \(-0.873813\pi\)
0.316112 + 0.948722i \(0.397622\pi\)
\(618\) 2.14843 + 9.91315i 0.0864224 + 0.398765i
\(619\) −0.959573 −0.0385685 −0.0192842 0.999814i \(-0.506139\pi\)
−0.0192842 + 0.999814i \(0.506139\pi\)
\(620\) 1.09106 1.01236i 0.0438181 0.0406572i
\(621\) −6.19314 31.9483i −0.248522 1.28204i
\(622\) 8.24430 10.3380i 0.330566 0.414517i
\(623\) 24.0554 26.5226i 0.963757 1.06261i
\(624\) 9.12094 + 1.47731i 0.365130 + 0.0591398i
\(625\) −4.33219 18.9806i −0.173288 0.759223i
\(626\) −5.93383 + 0.894381i −0.237164 + 0.0357467i
\(627\) −1.99699 + 0.592067i −0.0797520 + 0.0236449i
\(628\) −1.06311 0.160239i −0.0424229 0.00639422i
\(629\) 2.33922 1.12651i 0.0932708 0.0449169i
\(630\) 4.17358 4.40344i 0.166279 0.175437i
\(631\) −14.8985 7.17473i −0.593099 0.285621i 0.113158 0.993577i \(-0.463903\pi\)
−0.706257 + 0.707956i \(0.749618\pi\)
\(632\) 19.3947 + 13.2231i 0.771480 + 0.525986i
\(633\) 28.8905 + 0.317088i 1.14829 + 0.0126031i
\(634\) −1.66876 + 22.2681i −0.0662750 + 0.884378i
\(635\) 6.07737 + 7.62079i 0.241173 + 0.302422i
\(636\) −3.07285 0.984910i −0.121847 0.0390542i
\(637\) −6.73261 11.0733i −0.266756 0.438739i
\(638\) 2.78166 0.110127
\(639\) −0.331049 6.25814i −0.0130961 0.247568i
\(640\) 3.05578 + 2.08339i 0.120790 + 0.0823534i
\(641\) −2.10845 + 9.23771i −0.0832787 + 0.364868i −0.999346 0.0361565i \(-0.988489\pi\)
0.916067 + 0.401024i \(0.131346\pi\)
\(642\) 16.5794 2.31315i 0.654336 0.0912926i
\(643\) 0.253002 + 3.37608i 0.00997744 + 0.133140i 0.999968 0.00799354i \(-0.00254445\pi\)
−0.989991 + 0.141133i \(0.954925\pi\)
\(644\) −6.57905 3.69955i −0.259251 0.145783i
\(645\) 0.971128 2.39671i 0.0382381 0.0943704i
\(646\) −1.27375 0.191987i −0.0501151 0.00755364i
\(647\) 1.93099 + 25.7673i 0.0759152 + 1.01302i 0.896948 + 0.442137i \(0.145779\pi\)
−0.821033 + 0.570881i \(0.806602\pi\)
\(648\) 14.7630 23.1597i 0.579946 0.909797i
\(649\) 0.797443 + 0.245979i 0.0313024 + 0.00965551i
\(650\) −10.5148 + 1.58486i −0.412426 + 0.0621632i
\(651\) 24.2762 1.82824i 0.951459 0.0716543i
\(652\) −4.40800 0.664399i −0.172631 0.0260199i
\(653\) 38.6850 + 18.6297i 1.51386 + 0.729036i 0.992263 0.124156i \(-0.0396222\pi\)
0.521597 + 0.853192i \(0.325336\pi\)
\(654\) −18.0912 12.6274i −0.707422 0.493771i
\(655\) −0.134792 −0.00526675
\(656\) −1.07080 + 1.85468i −0.0418077 + 0.0724130i
\(657\) −1.29066 + 0.165652i −0.0503533 + 0.00646272i
\(658\) 0.830705 2.80568i 0.0323843 0.109377i
\(659\) 14.6951 + 13.6350i 0.572438 + 0.531145i 0.912403 0.409293i \(-0.134225\pi\)
−0.339965 + 0.940438i \(0.610415\pi\)
\(660\) −0.149502 0.265636i −0.00581937 0.0103399i
\(661\) −14.0100 35.6969i −0.544925 1.38845i −0.892607 0.450835i \(-0.851126\pi\)
0.347682 0.937613i \(-0.386969\pi\)
\(662\) 3.12298 + 7.95723i 0.121378 + 0.309267i
\(663\) −0.851492 1.51293i −0.0330692 0.0587575i
\(664\) −26.6556 24.7328i −1.03444 0.959818i
\(665\) −2.88692 + 1.17099i −0.111950 + 0.0454092i
\(666\) −6.89575 + 16.4960i −0.267205 + 0.639205i
\(667\) 11.1582 19.3266i 0.432048 0.748328i
\(668\) 11.0203 0.426389
\(669\) −10.7359 7.49350i −0.415073 0.289715i
\(670\) −4.21715 2.03087i −0.162923 0.0784594i
\(671\) −6.61471 0.997008i −0.255358 0.0384891i
\(672\) −3.41098 11.0437i −0.131582 0.426020i
\(673\) 23.0220 3.47000i 0.887432 0.133759i 0.310522 0.950566i \(-0.399496\pi\)
0.576910 + 0.816807i \(0.304258\pi\)
\(674\) 34.4837 + 10.6368i 1.32826 + 0.409714i
\(675\) −6.11170 + 23.2244i −0.235240 + 0.893907i
\(676\) 0.325854 + 4.34822i 0.0125329 + 0.167239i
\(677\) −13.3005 2.00472i −0.511178 0.0770477i −0.111612 0.993752i \(-0.535601\pi\)
−0.399567 + 0.916704i \(0.630839\pi\)
\(678\) 2.47727 6.11381i 0.0951389 0.234800i
\(679\) −3.06259 0.194603i −0.117532 0.00746817i
\(680\) −0.0759399 1.01335i −0.00291216 0.0388601i
\(681\) −37.9753 + 5.29829i −1.45522 + 0.203031i
\(682\) −0.922839 + 4.04322i −0.0353373 + 0.154823i
\(683\) 15.5266 + 10.5858i 0.594108 + 0.405056i 0.822708 0.568465i \(-0.192462\pi\)
−0.228600 + 0.973520i \(0.573415\pi\)
\(684\) −2.19341 + 1.42595i −0.0838673 + 0.0545225i
\(685\) −11.1172 −0.424766
\(686\) 12.3111 19.4472i 0.470041 0.742499i
\(687\) −44.5320 14.2734i −1.69900 0.544563i
\(688\) 4.36110 + 5.46864i 0.166265 + 0.208490i
\(689\) 0.565845 7.55068i 0.0215570 0.287658i
\(690\) 8.29120 + 0.0910002i 0.315641 + 0.00346432i
\(691\) −8.72941 5.95161i −0.332082 0.226410i 0.385787 0.922588i \(-0.373930\pi\)
−0.717869 + 0.696178i \(0.754882\pi\)
\(692\) 6.42542 + 3.09432i 0.244258 + 0.117628i
\(693\) 0.795344 4.92194i 0.0302126 0.186969i
\(694\) 14.3786 6.92438i 0.545805 0.262846i
\(695\) −9.14671 1.37864i −0.346954 0.0522950i
\(696\) 18.0572 5.35358i 0.684455 0.202927i
\(697\) 0.397895 0.0599731i 0.0150714 0.00227164i
\(698\) −3.61394 15.8337i −0.136790 0.599315i
\(699\) −12.2202 1.97930i −0.462211 0.0748640i
\(700\) 3.18967 + 4.56623i 0.120558 + 0.172587i
\(701\) 23.2578 29.1644i 0.878436 1.10152i −0.115689 0.993285i \(-0.536908\pi\)
0.994125 0.108238i \(-0.0345209\pi\)
\(702\) 11.3020 + 3.89805i 0.426565 + 0.147122i
\(703\) 6.73002 6.24455i 0.253828 0.235518i
\(704\) 5.58901 0.210644
\(705\) −0.200799 0.926516i −0.00756254 0.0348946i
\(706\) −11.7807 + 10.9309i −0.443372 + 0.411389i
\(707\) 32.5550 + 25.3630i 1.22436 + 0.953875i
\(708\) 1.04811 + 0.0115036i 0.0393904 + 0.000432330i
\(709\) 0.980353 0.302399i 0.0368179 0.0113568i −0.276292 0.961074i \(-0.589106\pi\)
0.313109 + 0.949717i \(0.398629\pi\)
\(710\) 1.57892 + 0.237984i 0.0592558 + 0.00893137i
\(711\) 16.5675 + 16.0633i 0.621329 + 0.602421i
\(712\) 30.2749 + 28.0910i 1.13460 + 1.05275i
\(713\) 24.3899 + 22.6305i 0.913408 + 0.847518i
\(714\) 1.73599 2.54825i 0.0649678 0.0953658i
\(715\) 0.524324 0.486501i 0.0196086 0.0181941i
\(716\) −2.38903 −0.0892822
\(717\) −5.86712 27.0717i −0.219112 1.01101i
\(718\) −6.01366 26.3476i −0.224428 0.983283i
\(719\) 30.5522 20.8301i 1.13940 0.776832i 0.161704 0.986839i \(-0.448301\pi\)
0.977700 + 0.210007i \(0.0673487\pi\)
\(720\) 3.81719 + 3.70103i 0.142258 + 0.137929i
\(721\) 9.83493 + 7.66221i 0.366272 + 0.285356i
\(722\) 18.8449 2.84041i 0.701335 0.105709i
\(723\) 2.45791 28.5850i 0.0914106 1.06309i
\(724\) −6.96851 + 1.05033i −0.258983 + 0.0390354i
\(725\) −13.6068 + 9.27697i −0.505345 + 0.344538i
\(726\) −20.4580 10.1301i −0.759267 0.375964i
\(727\) −0.862287 + 11.5064i −0.0319804 + 0.426749i 0.958118 + 0.286374i \(0.0924500\pi\)
−0.990098 + 0.140375i \(0.955169\pi\)
\(728\) 12.8593 7.62012i 0.476599 0.282420i
\(729\) 18.1868 19.9560i 0.673585 0.739110i
\(730\) 0.0247765 0.330620i 0.000917020 0.0122368i
\(731\) 0.292446 1.28129i 0.0108165 0.0473903i
\(732\) −8.32147 + 1.16101i −0.307570 + 0.0429120i
\(733\) 9.06527 + 11.3675i 0.334833 + 0.419868i 0.920536 0.390658i \(-0.127753\pi\)
−0.585702 + 0.810526i \(0.699181\pi\)
\(734\) −3.73224 6.46444i −0.137760 0.238607i
\(735\) 0.470148 7.44233i 0.0173417 0.274514i
\(736\) 7.89835 13.6803i 0.291137 0.504264i
\(737\) −3.80354 + 0.573291i −0.140105 + 0.0211174i
\(738\) −1.77482 + 2.12801i −0.0653320 + 0.0783330i
\(739\) −22.8974 + 7.06290i −0.842293 + 0.259813i −0.685731 0.727855i \(-0.740517\pi\)
−0.156562 + 0.987668i \(0.550041\pi\)
\(740\) 1.11009 + 0.756845i 0.0408076 + 0.0278222i
\(741\) −4.45405 4.22467i −0.163624 0.155197i
\(742\) 12.4618 5.05478i 0.457488 0.185567i
\(743\) −38.3261 26.1303i −1.40605 0.958628i −0.998977 0.0452315i \(-0.985597\pi\)
−0.407072 0.913396i \(-0.633450\pi\)
\(744\) 1.79097 + 28.0226i 0.0656601 + 1.02736i
\(745\) 6.66962 + 3.21192i 0.244356 + 0.117676i
\(746\) 15.5502 39.6212i 0.569333 1.45064i
\(747\) −21.6691 28.4306i −0.792833 1.04022i
\(748\) −0.0965870 0.121116i −0.00353157 0.00442845i
\(749\) 13.8229 15.2407i 0.505079 0.556883i
\(750\) −11.4157 5.65267i −0.416842 0.206406i
\(751\) 35.9835 + 17.3287i 1.31306 + 0.632334i 0.953670 0.300855i \(-0.0972721\pi\)
0.359385 + 0.933189i \(0.382986\pi\)
\(752\) 2.45033 + 0.755827i 0.0893543 + 0.0275622i
\(753\) 11.9061 + 3.81613i 0.433881 + 0.139067i
\(754\) 4.09918 + 7.09999i 0.149283 + 0.258566i
\(755\) 2.41920 + 10.5992i 0.0880436 + 0.385744i
\(756\) −0.799493 6.21102i −0.0290773 0.225893i
\(757\) −11.6402 + 50.9991i −0.423071 + 1.85359i 0.0910070 + 0.995850i \(0.470991\pi\)
−0.514078 + 0.857744i \(0.671866\pi\)
\(758\) −16.8503 + 5.19762i −0.612029 + 0.188786i
\(759\) 5.67175 3.77643i 0.205872 0.137076i
\(760\) −1.31278 3.34492i −0.0476197 0.121333i
\(761\) 3.83662 16.8093i 0.139077 0.609338i −0.856561 0.516045i \(-0.827404\pi\)
0.995639 0.0932926i \(-0.0297392\pi\)
\(762\) −34.1113 0.374389i −1.23572 0.0135627i
\(763\) −27.0167 + 2.33308i −0.978071 + 0.0844631i
\(764\) −2.44181 10.6982i −0.0883414 0.387049i
\(765\) 0.0965016 0.994318i 0.00348902 0.0359497i
\(766\) −19.4927 33.7623i −0.704300 1.21988i
\(767\) 0.547305 + 2.39790i 0.0197620 + 0.0865831i
\(768\) 17.1410 5.08197i 0.618523 0.183380i
\(769\) −35.9613 5.42030i −1.29680 0.195461i −0.535872 0.844299i \(-0.680017\pi\)
−0.760927 + 0.648838i \(0.775255\pi\)
\(770\) 1.18771 + 0.450664i 0.0428022 + 0.0162408i
\(771\) −14.2278 37.4554i −0.512400 1.34892i
\(772\) 8.44495 7.83577i