Properties

Label 63.2.f.a.22.3
Level $63$
Weight $2$
Character 63.22
Analytic conductor $0.503$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 63.f (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.503057532734\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 22.3
Root \(0.939693 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 63.22
Dual form 63.2.f.a.43.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.439693 + 0.761570i) q^{2} +(-0.592396 + 1.62760i) q^{3} +(0.613341 - 1.06234i) q^{4} +(-0.673648 + 1.16679i) q^{5} +(-1.50000 + 0.264490i) q^{6} +(-0.500000 - 0.866025i) q^{7} +2.83750 q^{8} +(-2.29813 - 1.92836i) q^{9} +O(q^{10})\) \(q+(0.439693 + 0.761570i) q^{2} +(-0.592396 + 1.62760i) q^{3} +(0.613341 - 1.06234i) q^{4} +(-0.673648 + 1.16679i) q^{5} +(-1.50000 + 0.264490i) q^{6} +(-0.500000 - 0.866025i) q^{7} +2.83750 q^{8} +(-2.29813 - 1.92836i) q^{9} -1.18479 q^{10} +(-0.826352 - 1.43128i) q^{11} +(1.36571 + 1.62760i) q^{12} +(1.68479 - 2.91815i) q^{13} +(0.439693 - 0.761570i) q^{14} +(-1.50000 - 1.78763i) q^{15} +(0.0209445 + 0.0362770i) q^{16} +0.467911 q^{17} +(0.458111 - 2.59808i) q^{18} -3.22668 q^{19} +(0.826352 + 1.43128i) q^{20} +(1.70574 - 0.300767i) q^{21} +(0.726682 - 1.25865i) q^{22} +(-4.47178 + 7.74535i) q^{23} +(-1.68092 + 4.61830i) q^{24} +(1.59240 + 2.75811i) q^{25} +2.96316 q^{26} +(4.50000 - 2.59808i) q^{27} -1.22668 q^{28} +(-3.13429 - 5.42874i) q^{29} +(0.701867 - 1.92836i) q^{30} +(-4.61721 + 7.99724i) q^{31} +(2.81908 - 4.88279i) q^{32} +(2.81908 - 0.497079i) q^{33} +(0.205737 + 0.356347i) q^{34} +1.34730 q^{35} +(-3.45811 + 1.25865i) q^{36} +9.23442 q^{37} +(-1.41875 - 2.45734i) q^{38} +(3.75150 + 4.47086i) q^{39} +(-1.91147 + 3.31077i) q^{40} +(-1.70574 + 2.95442i) q^{41} +(0.979055 + 1.16679i) q^{42} +(2.20574 + 3.82045i) q^{43} -2.02734 q^{44} +(3.79813 - 1.38241i) q^{45} -7.86484 q^{46} +(-4.67752 - 8.10170i) q^{47} +(-0.0714517 + 0.0125989i) q^{48} +(-0.500000 + 0.866025i) q^{49} +(-1.40033 + 2.42544i) q^{50} +(-0.277189 + 0.761570i) q^{51} +(-2.06670 - 3.57964i) q^{52} -0.573978 q^{53} +(3.95723 + 2.28471i) q^{54} +2.22668 q^{55} +(-1.41875 - 2.45734i) q^{56} +(1.91147 - 5.25173i) q^{57} +(2.75624 - 4.77396i) q^{58} +(5.19846 - 9.00400i) q^{59} +(-2.81908 + 0.497079i) q^{60} +(-3.81908 - 6.61484i) q^{61} -8.12061 q^{62} +(-0.520945 + 2.95442i) q^{63} +5.04189 q^{64} +(2.26991 + 3.93161i) q^{65} +(1.61809 + 1.92836i) q^{66} +(-0.298133 + 0.516382i) q^{67} +(0.286989 - 0.497079i) q^{68} +(-9.95723 - 11.8666i) q^{69} +(0.592396 + 1.02606i) q^{70} -0.554378 q^{71} +(-6.52094 - 5.47172i) q^{72} +2.04963 q^{73} +(4.06031 + 7.03266i) q^{74} +(-5.43242 + 0.957882i) q^{75} +(-1.97906 + 3.42782i) q^{76} +(-0.826352 + 1.43128i) q^{77} +(-1.75537 + 4.82283i) q^{78} +(1.20187 + 2.08169i) q^{79} -0.0564370 q^{80} +(1.56283 + 8.86327i) q^{81} -3.00000 q^{82} +(7.52481 + 13.0334i) q^{83} +(0.726682 - 1.99654i) q^{84} +(-0.315207 + 0.545955i) q^{85} +(-1.93969 + 3.35965i) q^{86} +(10.6925 - 1.88538i) q^{87} +(-2.34477 - 4.06126i) q^{88} +9.08647 q^{89} +(2.72281 + 2.28471i) q^{90} -3.36959 q^{91} +(5.48545 + 9.50108i) q^{92} +(-10.2811 - 12.2525i) q^{93} +(4.11334 - 7.12452i) q^{94} +(2.17365 - 3.76487i) q^{95} +(6.27719 + 7.48086i) q^{96} +(0.949493 + 1.64457i) q^{97} -0.879385 q^{98} +(-0.860967 + 4.88279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{2} - 3q^{4} - 3q^{5} - 9q^{6} - 3q^{7} + 12q^{8} + O(q^{10}) \) \( 6q - 3q^{2} - 3q^{4} - 3q^{5} - 9q^{6} - 3q^{7} + 12q^{8} - 6q^{11} + 18q^{12} + 3q^{13} - 3q^{14} - 9q^{15} - 3q^{16} + 12q^{17} + 9q^{18} - 6q^{19} + 6q^{20} - 9q^{22} - 12q^{23} - 27q^{24} + 6q^{25} - 6q^{26} + 27q^{27} + 6q^{28} - 9q^{29} + 18q^{30} + 3q^{31} - 9q^{34} + 6q^{35} - 27q^{36} - 6q^{37} - 6q^{38} - 18q^{39} + 9q^{40} + 9q^{42} + 3q^{43} + 30q^{44} + 9q^{45} - 3q^{47} - 3q^{49} + 6q^{50} + 9q^{51} + 21q^{52} + 12q^{53} - 27q^{54} - 6q^{56} - 9q^{57} + 9q^{58} + 3q^{59} - 6q^{61} - 60q^{62} + 24q^{64} - 15q^{65} + 36q^{66} + 12q^{67} - 6q^{68} - 9q^{69} + 18q^{71} - 36q^{72} - 42q^{73} + 30q^{74} - 9q^{75} - 15q^{76} - 6q^{77} + 54q^{78} + 21q^{79} - 30q^{80} - 18q^{82} + 18q^{83} - 9q^{84} - 9q^{85} - 6q^{86} + 9q^{87} - 27q^{88} + 24q^{89} + 27q^{90} - 6q^{91} - 3q^{92} - 27q^{93} + 18q^{94} + 12q^{95} + 27q^{96} + 3q^{97} + 6q^{98} + 18q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.439693 + 0.761570i 0.310910 + 0.538511i 0.978560 0.205964i \(-0.0660330\pi\)
−0.667650 + 0.744475i \(0.732700\pi\)
\(3\) −0.592396 + 1.62760i −0.342020 + 0.939693i
\(4\) 0.613341 1.06234i 0.306670 0.531169i
\(5\) −0.673648 + 1.16679i −0.301265 + 0.521806i −0.976423 0.215867i \(-0.930742\pi\)
0.675158 + 0.737673i \(0.264075\pi\)
\(6\) −1.50000 + 0.264490i −0.612372 + 0.107978i
\(7\) −0.500000 0.866025i −0.188982 0.327327i
\(8\) 2.83750 1.00321
\(9\) −2.29813 1.92836i −0.766044 0.642788i
\(10\) −1.18479 −0.374664
\(11\) −0.826352 1.43128i −0.249154 0.431548i 0.714137 0.700006i \(-0.246819\pi\)
−0.963291 + 0.268458i \(0.913486\pi\)
\(12\) 1.36571 + 1.62760i 0.394248 + 0.469846i
\(13\) 1.68479 2.91815i 0.467277 0.809348i −0.532024 0.846729i \(-0.678568\pi\)
0.999301 + 0.0373813i \(0.0119016\pi\)
\(14\) 0.439693 0.761570i 0.117513 0.203538i
\(15\) −1.50000 1.78763i −0.387298 0.461564i
\(16\) 0.0209445 + 0.0362770i 0.00523613 + 0.00906925i
\(17\) 0.467911 0.113485 0.0567426 0.998389i \(-0.481929\pi\)
0.0567426 + 0.998389i \(0.481929\pi\)
\(18\) 0.458111 2.59808i 0.107978 0.612372i
\(19\) −3.22668 −0.740252 −0.370126 0.928982i \(-0.620685\pi\)
−0.370126 + 0.928982i \(0.620685\pi\)
\(20\) 0.826352 + 1.43128i 0.184778 + 0.320045i
\(21\) 1.70574 0.300767i 0.372222 0.0656328i
\(22\) 0.726682 1.25865i 0.154929 0.268345i
\(23\) −4.47178 + 7.74535i −0.932431 + 1.61502i −0.153279 + 0.988183i \(0.548983\pi\)
−0.779152 + 0.626835i \(0.784350\pi\)
\(24\) −1.68092 + 4.61830i −0.343117 + 0.942706i
\(25\) 1.59240 + 2.75811i 0.318479 + 0.551622i
\(26\) 2.96316 0.581124
\(27\) 4.50000 2.59808i 0.866025 0.500000i
\(28\) −1.22668 −0.231821
\(29\) −3.13429 5.42874i −0.582022 1.00809i −0.995239 0.0974595i \(-0.968928\pi\)
0.413217 0.910632i \(-0.364405\pi\)
\(30\) 0.701867 1.92836i 0.128143 0.352069i
\(31\) −4.61721 + 7.99724i −0.829276 + 1.43635i 0.0693317 + 0.997594i \(0.477913\pi\)
−0.898607 + 0.438754i \(0.855420\pi\)
\(32\) 2.81908 4.88279i 0.498347 0.863163i
\(33\) 2.81908 0.497079i 0.490738 0.0865304i
\(34\) 0.205737 + 0.356347i 0.0352836 + 0.0611130i
\(35\) 1.34730 0.227735
\(36\) −3.45811 + 1.25865i −0.576352 + 0.209775i
\(37\) 9.23442 1.51813 0.759065 0.651015i \(-0.225657\pi\)
0.759065 + 0.651015i \(0.225657\pi\)
\(38\) −1.41875 2.45734i −0.230151 0.398634i
\(39\) 3.75150 + 4.47086i 0.600720 + 0.715910i
\(40\) −1.91147 + 3.31077i −0.302231 + 0.523479i
\(41\) −1.70574 + 2.95442i −0.266391 + 0.461403i −0.967927 0.251231i \(-0.919165\pi\)
0.701536 + 0.712634i \(0.252498\pi\)
\(42\) 0.979055 + 1.16679i 0.151072 + 0.180040i
\(43\) 2.20574 + 3.82045i 0.336372 + 0.582613i 0.983747 0.179558i \(-0.0574668\pi\)
−0.647376 + 0.762171i \(0.724133\pi\)
\(44\) −2.02734 −0.305633
\(45\) 3.79813 1.38241i 0.566192 0.206077i
\(46\) −7.86484 −1.15961
\(47\) −4.67752 8.10170i −0.682286 1.18175i −0.974281 0.225335i \(-0.927652\pi\)
0.291995 0.956420i \(-0.405681\pi\)
\(48\) −0.0714517 + 0.0125989i −0.0103132 + 0.00181849i
\(49\) −0.500000 + 0.866025i −0.0714286 + 0.123718i
\(50\) −1.40033 + 2.42544i −0.198037 + 0.343009i
\(51\) −0.277189 + 0.761570i −0.0388142 + 0.106641i
\(52\) −2.06670 3.57964i −0.286600 0.496406i
\(53\) −0.573978 −0.0788419 −0.0394210 0.999223i \(-0.512551\pi\)
−0.0394210 + 0.999223i \(0.512551\pi\)
\(54\) 3.95723 + 2.28471i 0.538511 + 0.310910i
\(55\) 2.22668 0.300246
\(56\) −1.41875 2.45734i −0.189588 0.328376i
\(57\) 1.91147 5.25173i 0.253181 0.695609i
\(58\) 2.75624 4.77396i 0.361913 0.626851i
\(59\) 5.19846 9.00400i 0.676782 1.17222i −0.299162 0.954202i \(-0.596707\pi\)
0.975945 0.218019i \(-0.0699595\pi\)
\(60\) −2.81908 + 0.497079i −0.363941 + 0.0641727i
\(61\) −3.81908 6.61484i −0.488983 0.846943i 0.510937 0.859618i \(-0.329299\pi\)
−0.999920 + 0.0126752i \(0.995965\pi\)
\(62\) −8.12061 −1.03132
\(63\) −0.520945 + 2.95442i −0.0656328 + 0.372222i
\(64\) 5.04189 0.630236
\(65\) 2.26991 + 3.93161i 0.281548 + 0.487656i
\(66\) 1.61809 + 1.92836i 0.199173 + 0.237365i
\(67\) −0.298133 + 0.516382i −0.0364228 + 0.0630861i −0.883662 0.468125i \(-0.844930\pi\)
0.847239 + 0.531211i \(0.178263\pi\)
\(68\) 0.286989 0.497079i 0.0348025 0.0602797i
\(69\) −9.95723 11.8666i −1.19871 1.42857i
\(70\) 0.592396 + 1.02606i 0.0708049 + 0.122638i
\(71\) −0.554378 −0.0657925 −0.0328963 0.999459i \(-0.510473\pi\)
−0.0328963 + 0.999459i \(0.510473\pi\)
\(72\) −6.52094 5.47172i −0.768501 0.644849i
\(73\) 2.04963 0.239891 0.119946 0.992780i \(-0.461728\pi\)
0.119946 + 0.992780i \(0.461728\pi\)
\(74\) 4.06031 + 7.03266i 0.472001 + 0.817530i
\(75\) −5.43242 + 0.957882i −0.627282 + 0.110607i
\(76\) −1.97906 + 3.42782i −0.227013 + 0.393198i
\(77\) −0.826352 + 1.43128i −0.0941715 + 0.163110i
\(78\) −1.75537 + 4.82283i −0.198756 + 0.546078i
\(79\) 1.20187 + 2.08169i 0.135221 + 0.234209i 0.925682 0.378303i \(-0.123492\pi\)
−0.790461 + 0.612512i \(0.790159\pi\)
\(80\) −0.0564370 −0.00630985
\(81\) 1.56283 + 8.86327i 0.173648 + 0.984808i
\(82\) −3.00000 −0.331295
\(83\) 7.52481 + 13.0334i 0.825956 + 1.43060i 0.901187 + 0.433431i \(0.142697\pi\)
−0.0752309 + 0.997166i \(0.523969\pi\)
\(84\) 0.726682 1.99654i 0.0792875 0.217841i
\(85\) −0.315207 + 0.545955i −0.0341891 + 0.0592172i
\(86\) −1.93969 + 3.35965i −0.209162 + 0.362280i
\(87\) 10.6925 1.88538i 1.14636 0.202134i
\(88\) −2.34477 4.06126i −0.249953 0.432932i
\(89\) 9.08647 0.963164 0.481582 0.876401i \(-0.340062\pi\)
0.481582 + 0.876401i \(0.340062\pi\)
\(90\) 2.72281 + 2.28471i 0.287010 + 0.240830i
\(91\) −3.36959 −0.353228
\(92\) 5.48545 + 9.50108i 0.571898 + 0.990556i
\(93\) −10.2811 12.2525i −1.06610 1.27052i
\(94\) 4.11334 7.12452i 0.424259 0.734838i
\(95\) 2.17365 3.76487i 0.223012 0.386267i
\(96\) 6.27719 + 7.48086i 0.640663 + 0.763512i
\(97\) 0.949493 + 1.64457i 0.0964064 + 0.166981i 0.910195 0.414181i \(-0.135932\pi\)
−0.813788 + 0.581161i \(0.802598\pi\)
\(98\) −0.879385 −0.0888313
\(99\) −0.860967 + 4.88279i −0.0865304 + 0.490738i
\(100\) 3.90673 0.390673
\(101\) 0.854570 + 1.48016i 0.0850329 + 0.147281i 0.905405 0.424548i \(-0.139567\pi\)
−0.820372 + 0.571830i \(0.806234\pi\)
\(102\) −0.701867 + 0.123758i −0.0694952 + 0.0122539i
\(103\) 1.81908 3.15074i 0.179239 0.310451i −0.762381 0.647128i \(-0.775970\pi\)
0.941620 + 0.336677i \(0.109303\pi\)
\(104\) 4.78059 8.28023i 0.468776 0.811943i
\(105\) −0.798133 + 2.19285i −0.0778898 + 0.214001i
\(106\) −0.252374 0.437124i −0.0245127 0.0424573i
\(107\) 7.12836 0.689124 0.344562 0.938764i \(-0.388027\pi\)
0.344562 + 0.938764i \(0.388027\pi\)
\(108\) 6.37402i 0.613341i
\(109\) 0.403733 0.0386706 0.0193353 0.999813i \(-0.493845\pi\)
0.0193353 + 0.999813i \(0.493845\pi\)
\(110\) 0.979055 + 1.69577i 0.0933493 + 0.161686i
\(111\) −5.47044 + 15.0299i −0.519231 + 1.42658i
\(112\) 0.0209445 0.0362770i 0.00197907 0.00342785i
\(113\) −7.18479 + 12.4444i −0.675888 + 1.17067i 0.300320 + 0.953839i \(0.402907\pi\)
−0.976208 + 0.216835i \(0.930427\pi\)
\(114\) 4.84002 0.853427i 0.453310 0.0799307i
\(115\) −6.02481 10.4353i −0.561817 0.973095i
\(116\) −7.68954 −0.713956
\(117\) −9.49912 + 3.45740i −0.878194 + 0.319637i
\(118\) 9.14290 0.841672
\(119\) −0.233956 0.405223i −0.0214467 0.0371467i
\(120\) −4.25624 5.07239i −0.388540 0.463044i
\(121\) 4.13429 7.16079i 0.375844 0.650981i
\(122\) 3.35844 5.81699i 0.304059 0.526646i
\(123\) −3.79813 4.52644i −0.342466 0.408135i
\(124\) 5.66385 + 9.81007i 0.508629 + 0.880971i
\(125\) −11.0273 −0.986315
\(126\) −2.47906 + 0.902302i −0.220852 + 0.0803835i
\(127\) −20.7716 −1.84318 −0.921589 0.388167i \(-0.873108\pi\)
−0.921589 + 0.388167i \(0.873108\pi\)
\(128\) −3.42127 5.92582i −0.302401 0.523774i
\(129\) −7.52481 + 1.32683i −0.662523 + 0.116821i
\(130\) −1.99613 + 3.45740i −0.175072 + 0.303234i
\(131\) 3.58260 6.20524i 0.313013 0.542154i −0.666000 0.745952i \(-0.731995\pi\)
0.979013 + 0.203797i \(0.0653284\pi\)
\(132\) 1.20099 3.29969i 0.104533 0.287201i
\(133\) 1.61334 + 2.79439i 0.139894 + 0.242304i
\(134\) −0.524348 −0.0452968
\(135\) 7.00076i 0.602529i
\(136\) 1.32770 0.113849
\(137\) −1.28446 2.22475i −0.109739 0.190074i 0.805925 0.592017i \(-0.201668\pi\)
−0.915665 + 0.401943i \(0.868335\pi\)
\(138\) 4.65910 12.8008i 0.396609 1.08967i
\(139\) 3.06670 5.31169i 0.260114 0.450531i −0.706158 0.708055i \(-0.749573\pi\)
0.966272 + 0.257523i \(0.0829064\pi\)
\(140\) 0.826352 1.43128i 0.0698395 0.120966i
\(141\) 15.9572 2.81369i 1.34384 0.236956i
\(142\) −0.243756 0.422197i −0.0204555 0.0354300i
\(143\) −5.56893 −0.465697
\(144\) 0.0218219 0.123758i 0.00181849 0.0103132i
\(145\) 8.44562 0.701371
\(146\) 0.901207 + 1.56094i 0.0745844 + 0.129184i
\(147\) −1.11334 1.32683i −0.0918268 0.109435i
\(148\) 5.66385 9.81007i 0.465565 0.806383i
\(149\) −0.215537 + 0.373321i −0.0176575 + 0.0305837i −0.874719 0.484630i \(-0.838954\pi\)
0.857062 + 0.515214i \(0.172288\pi\)
\(150\) −3.11809 3.71599i −0.254591 0.303410i
\(151\) 1.23530 + 2.13960i 0.100527 + 0.174118i 0.911902 0.410408i \(-0.134614\pi\)
−0.811375 + 0.584526i \(0.801280\pi\)
\(152\) −9.15570 −0.742625
\(153\) −1.07532 0.902302i −0.0869346 0.0729468i
\(154\) −1.45336 −0.117115
\(155\) −6.22075 10.7747i −0.499663 0.865441i
\(156\) 7.05051 1.24319i 0.564492 0.0995352i
\(157\) −5.06670 + 8.77579i −0.404367 + 0.700384i −0.994248 0.107106i \(-0.965841\pi\)
0.589881 + 0.807491i \(0.299175\pi\)
\(158\) −1.05690 + 1.83061i −0.0840828 + 0.145636i
\(159\) 0.340022 0.934204i 0.0269655 0.0740872i
\(160\) 3.79813 + 6.57856i 0.300269 + 0.520081i
\(161\) 8.94356 0.704852
\(162\) −6.06283 + 5.08732i −0.476341 + 0.399698i
\(163\) −2.59627 −0.203355 −0.101678 0.994817i \(-0.532421\pi\)
−0.101678 + 0.994817i \(0.532421\pi\)
\(164\) 2.09240 + 3.62414i 0.163389 + 0.282998i
\(165\) −1.31908 + 3.62414i −0.102690 + 0.282139i
\(166\) −6.61721 + 11.4613i −0.513595 + 0.889573i
\(167\) 11.5915 20.0771i 0.896979 1.55361i 0.0656422 0.997843i \(-0.479090\pi\)
0.831337 0.555769i \(-0.187576\pi\)
\(168\) 4.84002 0.853427i 0.373416 0.0658433i
\(169\) 0.822948 + 1.42539i 0.0633037 + 0.109645i
\(170\) −0.554378 −0.0425188
\(171\) 7.41534 + 6.22221i 0.567066 + 0.475825i
\(172\) 5.41147 0.412621
\(173\) 2.37598 + 4.11532i 0.180643 + 0.312882i 0.942100 0.335333i \(-0.108849\pi\)
−0.761457 + 0.648215i \(0.775516\pi\)
\(174\) 6.13728 + 7.31412i 0.465266 + 0.554482i
\(175\) 1.59240 2.75811i 0.120374 0.208494i
\(176\) 0.0346151 0.0599551i 0.00260921 0.00451929i
\(177\) 11.5753 + 13.7949i 0.870054 + 1.03689i
\(178\) 3.99525 + 6.91998i 0.299457 + 0.518674i
\(179\) −8.53209 −0.637718 −0.318859 0.947802i \(-0.603300\pi\)
−0.318859 + 0.947802i \(0.603300\pi\)
\(180\) 0.860967 4.88279i 0.0641727 0.363941i
\(181\) −17.2344 −1.28102 −0.640512 0.767948i \(-0.721278\pi\)
−0.640512 + 0.767948i \(0.721278\pi\)
\(182\) −1.48158 2.56617i −0.109822 0.190218i
\(183\) 13.0287 2.29731i 0.963108 0.169822i
\(184\) −12.6887 + 21.9774i −0.935421 + 1.62020i
\(185\) −6.22075 + 10.7747i −0.457359 + 0.792169i
\(186\) 4.81062 13.2171i 0.352732 0.969123i
\(187\) −0.386659 0.669713i −0.0282753 0.0489743i
\(188\) −11.4757 −0.836948
\(189\) −4.50000 2.59808i −0.327327 0.188982i
\(190\) 3.82295 0.277346
\(191\) −6.45471 11.1799i −0.467046 0.808948i 0.532245 0.846590i \(-0.321349\pi\)
−0.999291 + 0.0376425i \(0.988015\pi\)
\(192\) −2.98680 + 8.20616i −0.215553 + 0.592228i
\(193\) 0.319078 0.552659i 0.0229677 0.0397813i −0.854313 0.519759i \(-0.826022\pi\)
0.877281 + 0.479977i \(0.159355\pi\)
\(194\) −0.834970 + 1.44621i −0.0599473 + 0.103832i
\(195\) −7.74376 + 1.36543i −0.554542 + 0.0977807i
\(196\) 0.613341 + 1.06234i 0.0438101 + 0.0758812i
\(197\) 11.4456 0.815467 0.407733 0.913101i \(-0.366319\pi\)
0.407733 + 0.913101i \(0.366319\pi\)
\(198\) −4.09714 + 1.49124i −0.291171 + 0.105978i
\(199\) −3.63816 −0.257902 −0.128951 0.991651i \(-0.541161\pi\)
−0.128951 + 0.991651i \(0.541161\pi\)
\(200\) 4.51842 + 7.82613i 0.319500 + 0.553391i
\(201\) −0.663848 0.791143i −0.0468242 0.0558029i
\(202\) −0.751497 + 1.30163i −0.0528751 + 0.0915824i
\(203\) −3.13429 + 5.42874i −0.219984 + 0.381023i
\(204\) 0.639033 + 0.761570i 0.0447413 + 0.0533206i
\(205\) −2.29813 3.98048i −0.160509 0.278009i
\(206\) 3.19934 0.222909
\(207\) 25.2126 9.17664i 1.75240 0.637820i
\(208\) 0.141149 0.00978691
\(209\) 2.66637 + 4.61830i 0.184437 + 0.319454i
\(210\) −2.02094 + 0.356347i −0.139458 + 0.0245903i
\(211\) −2.91147 + 5.04282i −0.200434 + 0.347162i −0.948668 0.316273i \(-0.897569\pi\)
0.748234 + 0.663435i \(0.230902\pi\)
\(212\) −0.352044 + 0.609758i −0.0241785 + 0.0418784i
\(213\) 0.328411 0.902302i 0.0225024 0.0618247i
\(214\) 3.13429 + 5.42874i 0.214255 + 0.371101i
\(215\) −5.94356 −0.405348
\(216\) 12.7687 7.37203i 0.868802 0.501603i
\(217\) 9.23442 0.626873
\(218\) 0.177519 + 0.307471i 0.0120231 + 0.0208246i
\(219\) −1.21419 + 3.33597i −0.0820476 + 0.225424i
\(220\) 1.36571 2.36549i 0.0920765 0.159481i
\(221\) 0.788333 1.36543i 0.0530290 0.0918490i
\(222\) −13.8516 + 2.44242i −0.929661 + 0.163924i
\(223\) −3.54189 6.13473i −0.237182 0.410812i 0.722722 0.691139i \(-0.242891\pi\)
−0.959905 + 0.280327i \(0.909557\pi\)
\(224\) −5.63816 −0.376715
\(225\) 1.65910 9.40923i 0.110607 0.627282i
\(226\) −12.6364 −0.840561
\(227\) 5.97178 + 10.3434i 0.396361 + 0.686517i 0.993274 0.115789i \(-0.0369395\pi\)
−0.596913 + 0.802306i \(0.703606\pi\)
\(228\) −4.40673 5.25173i −0.291843 0.347804i
\(229\) 8.77631 15.2010i 0.579955 1.00451i −0.415529 0.909580i \(-0.636403\pi\)
0.995484 0.0949315i \(-0.0302632\pi\)
\(230\) 5.29813 9.17664i 0.349349 0.605089i
\(231\) −1.84002 2.19285i −0.121065 0.144279i
\(232\) −8.89352 15.4040i −0.583888 1.01132i
\(233\) 16.2540 1.06484 0.532418 0.846481i \(-0.321283\pi\)
0.532418 + 0.846481i \(0.321283\pi\)
\(234\) −6.80974 5.71405i −0.445167 0.373539i
\(235\) 12.6040 0.822195
\(236\) −6.37686 11.0450i −0.415098 0.718971i
\(237\) −4.10014 + 0.722965i −0.266333 + 0.0469616i
\(238\) 0.205737 0.356347i 0.0133360 0.0230985i
\(239\) 7.54963 13.0763i 0.488345 0.845838i −0.511565 0.859244i \(-0.670934\pi\)
0.999910 + 0.0134062i \(0.00426745\pi\)
\(240\) 0.0334331 0.0918566i 0.00215809 0.00592932i
\(241\) 7.81908 + 13.5430i 0.503671 + 0.872384i 0.999991 + 0.00424420i \(0.00135097\pi\)
−0.496320 + 0.868140i \(0.665316\pi\)
\(242\) 7.27126 0.467414
\(243\) −15.3516 2.70691i −0.984808 0.173648i
\(244\) −9.36959 −0.599826
\(245\) −0.673648 1.16679i −0.0430378 0.0745437i
\(246\) 1.77719 4.88279i 0.113309 0.311315i
\(247\) −5.43629 + 9.41593i −0.345903 + 0.599121i
\(248\) −13.1013 + 22.6922i −0.831935 + 1.44095i
\(249\) −25.6707 + 4.52644i −1.62682 + 0.286851i
\(250\) −4.84864 8.39809i −0.306655 0.531142i
\(251\) 19.0651 1.20338 0.601690 0.798730i \(-0.294494\pi\)
0.601690 + 0.798730i \(0.294494\pi\)
\(252\) 2.81908 + 2.36549i 0.177585 + 0.149012i
\(253\) 14.7811 0.929277
\(254\) −9.13310 15.8190i −0.573062 0.992572i
\(255\) −0.701867 0.836452i −0.0439526 0.0523807i
\(256\) 8.05051 13.9439i 0.503157 0.871493i
\(257\) −13.2909 + 23.0204i −0.829061 + 1.43598i 0.0697146 + 0.997567i \(0.477791\pi\)
−0.898776 + 0.438409i \(0.855542\pi\)
\(258\) −4.31908 5.14728i −0.268894 0.320455i
\(259\) −4.61721 7.99724i −0.286900 0.496925i
\(260\) 5.56893 0.345370
\(261\) −3.26558 + 18.5200i −0.202134 + 1.14636i
\(262\) 6.30096 0.389275
\(263\) 0.367059 + 0.635765i 0.0226338 + 0.0392029i 0.877120 0.480270i \(-0.159461\pi\)
−0.854487 + 0.519473i \(0.826128\pi\)
\(264\) 7.99912 1.41046i 0.492312 0.0868079i
\(265\) 0.386659 0.669713i 0.0237523 0.0411402i
\(266\) −1.41875 + 2.45734i −0.0869890 + 0.150669i
\(267\) −5.38279 + 14.7891i −0.329421 + 0.905078i
\(268\) 0.365715 + 0.633436i 0.0223396 + 0.0386933i
\(269\) −20.8503 −1.27126 −0.635632 0.771992i \(-0.719261\pi\)
−0.635632 + 0.771992i \(0.719261\pi\)
\(270\) −5.33157 + 3.07818i −0.324469 + 0.187332i
\(271\) 6.95811 0.422675 0.211338 0.977413i \(-0.432218\pi\)
0.211338 + 0.977413i \(0.432218\pi\)
\(272\) 0.00980018 + 0.0169744i 0.000594223 + 0.00102922i
\(273\) 1.99613 5.48432i 0.120811 0.331926i
\(274\) 1.12954 1.95642i 0.0682379 0.118191i
\(275\) 2.63176 4.55834i 0.158701 0.274878i
\(276\) −18.7135 + 3.29969i −1.12642 + 0.198618i
\(277\) −8.93629 15.4781i −0.536930 0.929989i −0.999067 0.0431811i \(-0.986251\pi\)
0.462138 0.886808i \(-0.347083\pi\)
\(278\) 5.39363 0.323488
\(279\) 26.0326 9.47508i 1.55853 0.567258i
\(280\) 3.82295 0.228465
\(281\) −11.1552 19.3214i −0.665465 1.15262i −0.979159 0.203095i \(-0.934900\pi\)
0.313694 0.949524i \(-0.398433\pi\)
\(282\) 9.15910 + 10.9154i 0.545416 + 0.650002i
\(283\) 9.29726 16.1033i 0.552665 0.957243i −0.445417 0.895323i \(-0.646944\pi\)
0.998081 0.0619196i \(-0.0197222\pi\)
\(284\) −0.340022 + 0.588936i −0.0201766 + 0.0349469i
\(285\) 4.84002 + 5.76811i 0.286698 + 0.341674i
\(286\) −2.44862 4.24113i −0.144790 0.250783i
\(287\) 3.41147 0.201373
\(288\) −15.8944 + 5.78509i −0.936587 + 0.340890i
\(289\) −16.7811 −0.987121
\(290\) 3.71348 + 6.43193i 0.218063 + 0.377696i
\(291\) −3.23917 + 0.571153i −0.189884 + 0.0334816i
\(292\) 1.25712 2.17740i 0.0735675 0.127423i
\(293\) −6.54576 + 11.3376i −0.382407 + 0.662349i −0.991406 0.130822i \(-0.958238\pi\)
0.608998 + 0.793171i \(0.291572\pi\)
\(294\) 0.520945 1.43128i 0.0303821 0.0834741i
\(295\) 7.00387 + 12.1311i 0.407781 + 0.706298i
\(296\) 26.2026 1.52300
\(297\) −7.43717 4.29385i −0.431548 0.249154i
\(298\) −0.379081 −0.0219595
\(299\) 15.0680 + 26.0986i 0.871408 + 1.50932i
\(300\) −2.31433 + 6.35857i −0.133618 + 0.367112i
\(301\) 2.20574 3.82045i 0.127137 0.220207i
\(302\) −1.08630 + 1.88153i −0.0625098 + 0.108270i
\(303\) −2.91534 + 0.514054i −0.167482 + 0.0295316i
\(304\) −0.0675813 0.117054i −0.00387606 0.00671353i
\(305\) 10.2909 0.589253
\(306\) 0.214355 1.21567i 0.0122539 0.0694952i
\(307\) 6.31046 0.360157 0.180078 0.983652i \(-0.442365\pi\)
0.180078 + 0.983652i \(0.442365\pi\)
\(308\) 1.01367 + 1.75573i 0.0577592 + 0.100042i
\(309\) 4.05051 + 4.82721i 0.230425 + 0.274610i
\(310\) 5.47044 9.47508i 0.310700 0.538148i
\(311\) 4.76217 8.24833i 0.270038 0.467720i −0.698833 0.715285i \(-0.746297\pi\)
0.968871 + 0.247565i \(0.0796304\pi\)
\(312\) 10.6449 + 12.6860i 0.602646 + 0.718206i
\(313\) 8.81433 + 15.2669i 0.498215 + 0.862934i 0.999998 0.00205946i \(-0.000655547\pi\)
−0.501782 + 0.864994i \(0.667322\pi\)
\(314\) −8.91117 −0.502886
\(315\) −3.09627 2.59808i −0.174455 0.146385i
\(316\) 2.94862 0.165873
\(317\) −4.03849 6.99486i −0.226824 0.392871i 0.730041 0.683403i \(-0.239501\pi\)
−0.956865 + 0.290533i \(0.906168\pi\)
\(318\) 0.860967 0.151812i 0.0482806 0.00851318i
\(319\) −5.18004 + 8.97210i −0.290027 + 0.502341i
\(320\) −3.39646 + 5.88284i −0.189868 + 0.328861i
\(321\) −4.22281 + 11.6021i −0.235694 + 0.647565i
\(322\) 3.93242 + 6.81115i 0.219145 + 0.379570i
\(323\) −1.50980 −0.0840075
\(324\) 10.3743 + 3.77595i 0.576352 + 0.209775i
\(325\) 10.7314 0.595273
\(326\) −1.14156 1.97724i −0.0632251 0.109509i
\(327\) −0.239170 + 0.657115i −0.0132261 + 0.0363385i
\(328\) −4.84002 + 8.38316i −0.267246 + 0.462883i
\(329\) −4.67752 + 8.10170i −0.257880 + 0.446661i
\(330\) −3.34002 + 0.588936i −0.183862 + 0.0324199i
\(331\) −11.5248 19.9616i −0.633461 1.09719i −0.986839 0.161706i \(-0.948300\pi\)
0.353378 0.935481i \(-0.385033\pi\)
\(332\) 18.4611 1.01318
\(333\) −21.2219 17.8073i −1.16295 0.975835i
\(334\) 20.3868 1.11552
\(335\) −0.401674 0.695720i −0.0219458 0.0380112i
\(336\) 0.0466368 + 0.0555796i 0.00254425 + 0.00303211i
\(337\) −14.5116 + 25.1348i −0.790498 + 1.36918i 0.135161 + 0.990824i \(0.456845\pi\)
−0.925659 + 0.378359i \(0.876489\pi\)
\(338\) −0.723689 + 1.25347i −0.0393635 + 0.0681795i
\(339\) −15.9982 19.0660i −0.868905 1.03552i
\(340\) 0.386659 + 0.669713i 0.0209695 + 0.0363203i
\(341\) 15.2618 0.826471
\(342\) −1.47818 + 8.38316i −0.0799307 + 0.453310i
\(343\) 1.00000 0.0539949
\(344\) 6.25877 + 10.8405i 0.337450 + 0.584481i
\(345\) 20.5535 3.62414i 1.10656 0.195117i
\(346\) −2.08940 + 3.61895i −0.112327 + 0.194556i
\(347\) −6.47313 + 11.2118i −0.347496 + 0.601880i −0.985804 0.167901i \(-0.946301\pi\)
0.638308 + 0.769781i \(0.279635\pi\)
\(348\) 4.55525 12.5155i 0.244187 0.670899i
\(349\) −0.731429 1.26687i −0.0391525 0.0678141i 0.845785 0.533524i \(-0.179132\pi\)
−0.884938 + 0.465710i \(0.845799\pi\)
\(350\) 2.80066 0.149702
\(351\) 17.5089i 0.934555i
\(352\) −9.31820 −0.496662
\(353\) −7.16637 12.4125i −0.381428 0.660652i 0.609839 0.792525i \(-0.291234\pi\)
−0.991267 + 0.131873i \(0.957901\pi\)
\(354\) −5.41622 + 14.8809i −0.287869 + 0.790913i
\(355\) 0.373455 0.646844i 0.0198210 0.0343309i
\(356\) 5.57310 9.65289i 0.295374 0.511602i
\(357\) 0.798133 0.140732i 0.0422417 0.00744835i
\(358\) −3.75150 6.49778i −0.198273 0.343418i
\(359\) −20.9368 −1.10500 −0.552500 0.833513i \(-0.686326\pi\)
−0.552500 + 0.833513i \(0.686326\pi\)
\(360\) 10.7772 3.92258i 0.568008 0.206738i
\(361\) −8.58853 −0.452028
\(362\) −7.57785 13.1252i −0.398283 0.689846i
\(363\) 9.20574 + 10.9710i 0.483176 + 0.575827i
\(364\) −2.06670 + 3.57964i −0.108325 + 0.187624i
\(365\) −1.38073 + 2.39149i −0.0722707 + 0.125176i
\(366\) 7.47818 + 8.91215i 0.390891 + 0.465845i
\(367\) 6.02869 + 10.4420i 0.314695 + 0.545067i 0.979373 0.202063i \(-0.0647645\pi\)
−0.664678 + 0.747130i \(0.731431\pi\)
\(368\) −0.374638 −0.0195293
\(369\) 9.61721 3.50038i 0.500652 0.182222i
\(370\) −10.9409 −0.568789
\(371\) 0.286989 + 0.497079i 0.0148997 + 0.0258071i
\(372\) −19.3221 + 3.40700i −1.00180 + 0.176645i
\(373\) 0.390530 0.676417i 0.0202209 0.0350235i −0.855738 0.517410i \(-0.826896\pi\)
0.875959 + 0.482386i \(0.160230\pi\)
\(374\) 0.340022 0.588936i 0.0175821 0.0304532i
\(375\) 6.53256 17.9480i 0.337340 0.926833i
\(376\) −13.2724 22.9885i −0.684474 1.18554i
\(377\) −21.1225 −1.08786
\(378\) 4.56942i 0.235026i
\(379\) −6.92396 −0.355660 −0.177830 0.984061i \(-0.556908\pi\)
−0.177830 + 0.984061i \(0.556908\pi\)
\(380\) −2.66637 4.61830i −0.136782 0.236914i
\(381\) 12.3050 33.8077i 0.630404 1.73202i
\(382\) 5.67617 9.83142i 0.290418 0.503019i
\(383\) −3.86618 + 6.69642i −0.197553 + 0.342171i −0.947734 0.319061i \(-0.896633\pi\)
0.750182 + 0.661232i \(0.229966\pi\)
\(384\) 11.6716 2.05802i 0.595613 0.105023i
\(385\) −1.11334 1.92836i −0.0567411 0.0982785i
\(386\) 0.561185 0.0285636
\(387\) 2.29813 13.0334i 0.116821 0.662523i
\(388\) 2.32945 0.118260
\(389\) −2.69981 4.67620i −0.136886 0.237093i 0.789431 0.613840i \(-0.210376\pi\)
−0.926316 + 0.376747i \(0.877043\pi\)
\(390\) −4.44475 5.29704i −0.225068 0.268226i
\(391\) −2.09240 + 3.62414i −0.105817 + 0.183280i
\(392\) −1.41875 + 2.45734i −0.0716576 + 0.124115i
\(393\) 7.97730 + 9.50698i 0.402402 + 0.479564i
\(394\) 5.03256 + 8.71664i 0.253536 + 0.439138i
\(395\) −3.23854 −0.162949
\(396\) 4.65910 + 3.90945i 0.234129 + 0.196457i
\(397\) −29.2344 −1.46723 −0.733617 0.679563i \(-0.762169\pi\)
−0.733617 + 0.679563i \(0.762169\pi\)
\(398\) −1.59967 2.77071i −0.0801842 0.138883i
\(399\) −5.50387 + 0.970481i −0.275538 + 0.0485848i
\(400\) −0.0667040 + 0.115535i −0.00333520 + 0.00577674i
\(401\) 13.6989 23.7272i 0.684092 1.18488i −0.289629 0.957139i \(-0.593532\pi\)
0.973721 0.227743i \(-0.0731346\pi\)
\(402\) 0.310622 0.853427i 0.0154924 0.0425650i
\(403\) 15.5581 + 26.9474i 0.775003 + 1.34235i
\(404\) 2.09657 0.104308
\(405\) −11.3944 4.14722i −0.566192 0.206077i
\(406\) −5.51249 −0.273580
\(407\) −7.63088 13.2171i −0.378249 0.655146i
\(408\) −0.786522 + 2.16095i −0.0389386 + 0.106983i
\(409\) 4.51249 7.81586i 0.223128 0.386469i −0.732628 0.680629i \(-0.761706\pi\)
0.955756 + 0.294160i \(0.0950398\pi\)
\(410\) 2.02094 3.50038i 0.0998073 0.172871i
\(411\) 4.38191 0.772649i 0.216144 0.0381120i
\(412\) −2.23143 3.86495i −0.109935 0.190412i
\(413\) −10.3969 −0.511599
\(414\) 18.0744 + 15.1663i 0.888310 + 0.745381i
\(415\) −20.2763 −0.995325
\(416\) −9.49912 16.4530i −0.465733 0.806673i
\(417\) 6.82857 + 8.13798i 0.334397 + 0.398518i
\(418\) −2.34477 + 4.06126i −0.114686 + 0.198643i
\(419\) −0.0876485 + 0.151812i −0.00428191 + 0.00741649i −0.868158 0.496287i \(-0.834696\pi\)
0.863877 + 0.503704i \(0.168030\pi\)
\(420\) 1.84002 + 2.19285i 0.0897839 + 0.107000i
\(421\) 12.3525 + 21.3952i 0.602025 + 1.04274i 0.992514 + 0.122130i \(0.0389724\pi\)
−0.390490 + 0.920607i \(0.627694\pi\)
\(422\) −5.12061 −0.249268
\(423\) −4.87346 + 27.6387i −0.236956 + 1.34384i
\(424\) −1.62866 −0.0790947
\(425\) 0.745100 + 1.29055i 0.0361427 + 0.0626009i
\(426\) 0.831566 0.146628i 0.0402895 0.00710413i
\(427\) −3.81908 + 6.61484i −0.184818 + 0.320114i
\(428\) 4.37211 7.57272i 0.211334 0.366041i
\(429\) 3.29901 9.06396i 0.159278 0.437612i
\(430\) −2.61334 4.52644i −0.126026 0.218284i
\(431\) −29.3191 −1.41225 −0.706126 0.708086i \(-0.749559\pi\)
−0.706126 + 0.708086i \(0.749559\pi\)
\(432\) 0.188501 + 0.108831i 0.00906925 + 0.00523613i
\(433\) 19.6554 0.944578 0.472289 0.881444i \(-0.343428\pi\)
0.472289 + 0.881444i \(0.343428\pi\)
\(434\) 4.06031 + 7.03266i 0.194901 + 0.337578i
\(435\) −5.00316 + 13.7461i −0.239883 + 0.659073i
\(436\) 0.247626 0.428901i 0.0118591 0.0205406i
\(437\) 14.4290 24.9918i 0.690233 1.19552i
\(438\) −3.07444 + 0.542108i −0.146903 + 0.0259029i
\(439\) 10.9650 + 18.9919i 0.523330 + 0.906434i 0.999631 + 0.0271516i \(0.00864370\pi\)
−0.476302 + 0.879282i \(0.658023\pi\)
\(440\) 6.31820 0.301208
\(441\) 2.81908 1.02606i 0.134242 0.0488600i
\(442\) 1.38650 0.0659489
\(443\) 9.35504 + 16.2034i 0.444471 + 0.769847i 0.998015 0.0629732i \(-0.0200583\pi\)
−0.553544 + 0.832820i \(0.686725\pi\)
\(444\) 12.6116 + 15.0299i 0.598519 + 0.713288i
\(445\) −6.12108 + 10.6020i −0.290167 + 0.502584i
\(446\) 3.11468 5.39479i 0.147485 0.255451i
\(447\) −0.479933 0.571962i −0.0227000 0.0270529i
\(448\) −2.52094 4.36640i −0.119103 0.206293i
\(449\) 6.68004 0.315251 0.157625 0.987499i \(-0.449616\pi\)
0.157625 + 0.987499i \(0.449616\pi\)
\(450\) 7.89528 2.87365i 0.372187 0.135465i
\(451\) 5.63816 0.265490
\(452\) 8.81345 + 15.2653i 0.414550 + 0.718022i
\(453\) −4.21419 + 0.743076i −0.198000 + 0.0349128i
\(454\) −5.25150 + 9.09586i −0.246465 + 0.426890i
\(455\) 2.26991 3.93161i 0.106415 0.184317i
\(456\) 5.42380 14.9018i 0.253993 0.697839i
\(457\) 9.71436 + 16.8258i 0.454418 + 0.787076i 0.998655 0.0518563i \(-0.0165138\pi\)
−0.544236 + 0.838932i \(0.683180\pi\)
\(458\) 15.4355 0.721254
\(459\) 2.10560 1.21567i 0.0982810 0.0567426i
\(460\) −14.7811 −0.689170
\(461\) 0.482926 + 0.836452i 0.0224921 + 0.0389575i 0.877052 0.480395i \(-0.159507\pi\)
−0.854560 + 0.519352i \(0.826173\pi\)
\(462\) 0.860967 2.36549i 0.0400558 0.110052i
\(463\) 0.222811 0.385920i 0.0103549 0.0179352i −0.860802 0.508941i \(-0.830037\pi\)
0.871156 + 0.491006i \(0.163371\pi\)
\(464\) 0.131292 0.227405i 0.00609509 0.0105570i
\(465\) 21.2219 3.74200i 0.984144 0.173531i
\(466\) 7.14677 + 12.3786i 0.331068 + 0.573426i
\(467\) −34.2148 −1.58327 −0.791637 0.610992i \(-0.790771\pi\)
−0.791637 + 0.610992i \(0.790771\pi\)
\(468\) −2.15328 + 12.2118i −0.0995352 + 0.564492i
\(469\) 0.596267 0.0275330
\(470\) 5.54189 + 9.59883i 0.255628 + 0.442761i
\(471\) −11.2819 13.4453i −0.519844 0.619526i
\(472\) 14.7506 25.5488i 0.678952 1.17598i
\(473\) 3.64543 6.31407i 0.167617 0.290321i
\(474\) −2.35339 2.80466i −0.108095 0.128822i
\(475\) −5.13816 8.89955i −0.235755 0.408339i
\(476\) −0.573978 −0.0263082
\(477\) 1.31908 + 1.10684i 0.0603964 + 0.0506786i
\(478\) 13.2781 0.607325
\(479\) 10.8965 + 18.8732i 0.497872 + 0.862339i 0.999997 0.00245553i \(-0.000781622\pi\)
−0.502125 + 0.864795i \(0.667448\pi\)
\(480\) −12.9572 + 2.28471i −0.591414 + 0.104282i
\(481\) 15.5581 26.9474i 0.709388 1.22870i
\(482\) −6.87598 + 11.9095i −0.313192 + 0.542465i
\(483\) −5.29813 + 14.5565i −0.241073 + 0.662344i
\(484\) −5.07145 8.78401i −0.230521 0.399273i
\(485\) −2.55850 −0.116175
\(486\) −4.68850 12.8816i −0.212675 0.584319i
\(487\) 19.3928 0.878772 0.439386 0.898298i \(-0.355196\pi\)
0.439386 + 0.898298i \(0.355196\pi\)
\(488\) −10.8366 18.7696i −0.490551 0.849659i
\(489\) 1.53802 4.22567i 0.0695516 0.191091i
\(490\) 0.592396 1.02606i 0.0267617 0.0463527i
\(491\) −13.0783 + 22.6523i −0.590216 + 1.02228i 0.403987 + 0.914765i \(0.367624\pi\)
−0.994203 + 0.107519i \(0.965709\pi\)
\(492\) −7.13816 + 1.25865i −0.321813 + 0.0567443i
\(493\) −1.46657 2.54017i −0.0660509 0.114403i
\(494\) −9.56118 −0.430178
\(495\) −5.11721 4.29385i −0.230002 0.192994i
\(496\) −0.386821 −0.0173688
\(497\) 0.277189 + 0.480105i 0.0124336 + 0.0215357i
\(498\) −14.7344 17.5598i −0.660265 0.786873i
\(499\) 7.15064 12.3853i 0.320107 0.554441i −0.660403 0.750911i \(-0.729615\pi\)
0.980510 + 0.196470i \(0.0629479\pi\)
\(500\) −6.76352 + 11.7148i −0.302474 + 0.523900i
\(501\) 25.8106 + 30.7599i 1.15313 + 1.37425i
\(502\) 8.38279 + 14.5194i 0.374142 + 0.648033i
\(503\) 18.7033 0.833937 0.416969 0.908921i \(-0.363092\pi\)
0.416969 + 0.908921i \(0.363092\pi\)
\(504\) −1.47818 + 8.38316i −0.0658433 + 0.373416i
\(505\) −2.30272 −0.102470
\(506\) 6.49912 + 11.2568i 0.288921 + 0.500426i
\(507\) −2.80747 + 0.495032i −0.124684 + 0.0219851i
\(508\) −12.7400 + 22.0664i −0.565248 + 0.979039i
\(509\) 12.8045 22.1781i 0.567551 0.983027i −0.429257 0.903183i \(-0.641224\pi\)
0.996807 0.0798442i \(-0.0254423\pi\)
\(510\) 0.328411 0.902302i 0.0145423 0.0399546i
\(511\) −1.02481 1.77503i −0.0453351 0.0785228i
\(512\) 0.473897 0.0209435
\(513\) −14.5201 + 8.38316i −0.641077 + 0.370126i
\(514\) −23.3756 −1.03105
\(515\) 2.45084 + 4.24497i 0.107997 + 0.187056i
\(516\) −3.20574 + 8.80769i −0.141125 + 0.387737i
\(517\) −7.73055 + 13.3897i −0.339989 + 0.588879i
\(518\) 4.06031 7.03266i 0.178400 0.308997i
\(519\) −8.10560 + 1.42924i −0.355796 + 0.0627365i
\(520\) 6.44087 + 11.1559i 0.282451 + 0.489220i
\(521\) −21.2121 −0.929320 −0.464660 0.885489i \(-0.653824\pi\)
−0.464660 + 0.885489i \(0.653824\pi\)
\(522\) −15.5401 + 5.65615i −0.680173 + 0.247563i
\(523\) 20.8057 0.909770 0.454885 0.890550i \(-0.349680\pi\)
0.454885 + 0.890550i \(0.349680\pi\)
\(524\) −4.39470 7.61185i −0.191984 0.332525i
\(525\) 3.54576 + 4.22567i 0.154750 + 0.184423i
\(526\) −0.322786 + 0.559082i −0.0140741 + 0.0243771i
\(527\) −2.16044 + 3.74200i −0.0941104 + 0.163004i
\(528\) 0.0770768 + 0.0918566i 0.00335434 + 0.00399754i
\(529\) −28.4937 49.3525i −1.23885 2.14576i
\(530\) 0.680045 0.0295393
\(531\) −29.3097 + 10.6679i −1.27193 + 0.462946i
\(532\) 3.95811 0.171606
\(533\) 5.74763 + 9.95518i 0.248957 + 0.431207i
\(534\) −13.6297 + 2.40328i −0.589815 + 0.104000i
\(535\) −4.80200 + 8.31731i −0.207609 + 0.359589i
\(536\) −0.845952 + 1.46523i −0.0365396 + 0.0632884i
\(537\) 5.05438 13.8868i 0.218112 0.599259i
\(538\) −9.16772 15.8790i −0.395248 0.684590i
\(539\) 1.65270 0.0711870
\(540\) 7.43717 + 4.29385i 0.320045 + 0.184778i
\(541\) 26.7297 1.14920 0.574599 0.818435i \(-0.305158\pi\)
0.574599 + 0.818435i \(0.305158\pi\)
\(542\) 3.05943 + 5.29909i 0.131414 + 0.227615i
\(543\) 10.2096 28.0507i 0.438136 1.20377i
\(544\) 1.31908 2.28471i 0.0565550 0.0979561i
\(545\) −0.271974 + 0.471073i −0.0116501 + 0.0201786i
\(546\) 5.05438 0.891223i 0.216307 0.0381408i
\(547\) −18.3812 31.8372i −0.785923 1.36126i −0.928446 0.371467i \(-0.878855\pi\)
0.142523 0.989792i \(-0.454479\pi\)
\(548\) −3.15125 −0.134615
\(549\) −3.97906 + 22.5663i −0.169822 + 0.963108i
\(550\) 4.62866 0.197367
\(551\) 10.1133 + 17.5168i 0.430843 + 0.746242i
\(552\) −28.2536 33.6713i −1.20255 1.43315i
\(553\) 1.20187 2.08169i 0.0511086 0.0885226i
\(554\) 7.85844 13.6112i 0.333873 0.578285i
\(555\) −13.8516 16.5077i −0.587969 0.700714i
\(556\) −3.76187 6.51575i −0.159539 0.276329i
\(557\) 32.3387 1.37024 0.685118 0.728432i \(-0.259751\pi\)
0.685118 + 0.728432i \(0.259751\pi\)
\(558\) 18.6623 + 15.6595i 0.790036 + 0.662919i
\(559\) 14.8648 0.628716
\(560\) 0.0282185 + 0.0488759i 0.00119245 + 0.00206538i
\(561\) 1.31908 0.232589i 0.0556915 0.00981992i
\(562\) 9.80974 16.9910i 0.413799 0.716721i
\(563\) 8.87093 15.3649i 0.373865 0.647553i −0.616291 0.787518i \(-0.711366\pi\)
0.990156 + 0.139965i \(0.0446990\pi\)
\(564\) 6.79813 18.6777i 0.286253 0.786474i
\(565\) −9.68004 16.7663i −0.407243 0.705365i
\(566\) 16.3517 0.687315
\(567\) 6.89440 5.78509i 0.289538 0.242951i
\(568\) −1.57304 −0.0660035
\(569\) 13.3007 + 23.0374i 0.557593 + 0.965779i 0.997697 + 0.0678320i \(0.0216082\pi\)
−0.440104 + 0.897947i \(0.645058\pi\)
\(570\) −2.26470 + 6.22221i −0.0948579 + 0.260620i
\(571\) 5.00862 8.67518i 0.209604 0.363045i −0.741986 0.670416i \(-0.766116\pi\)
0.951590 + 0.307371i \(0.0994491\pi\)
\(572\) −3.41565 + 5.91608i −0.142815 + 0.247364i
\(573\) 22.0201 3.88273i 0.919902 0.162203i
\(574\) 1.50000 + 2.59808i 0.0626088 + 0.108442i
\(575\) −28.4834 −1.18784
\(576\) −11.5869 9.72259i −0.482789 0.405108i
\(577\) −32.9145 −1.37025 −0.685124 0.728427i \(-0.740252\pi\)
−0.685124 + 0.728427i \(0.740252\pi\)
\(578\) −7.37851 12.7800i −0.306905 0.531576i
\(579\) 0.710485 + 0.846723i 0.0295267 + 0.0351886i
\(580\) 5.18004 8.97210i 0.215090 0.372546i
\(581\) 7.52481 13.0334i 0.312182 0.540715i
\(582\) −1.85921 2.21572i −0.0770668 0.0918447i
\(583\) 0.474308 + 0.821525i 0.0196438 + 0.0340241i
\(584\) 5.81582 0.240660
\(585\) 2.36500 13.4126i 0.0977807 0.554542i
\(586\) −11.5125 −0.475577
\(587\) 7.53643 + 13.0535i 0.311062 + 0.538774i 0.978592 0.205808i \(-0.0659821\pi\)
−0.667531 + 0.744582i \(0.732649\pi\)
\(588\) −2.09240 + 0.368946i −0.0862890 + 0.0152151i
\(589\) 14.8983 25.8046i 0.613873 1.06326i
\(590\) −6.15910 + 10.6679i −0.253566 + 0.439189i
\(591\) −6.78034 + 18.6288i −0.278906 + 0.766288i
\(592\) 0.193411 + 0.334997i 0.00794913 + 0.0137683i
\(593\) 41.0009 1.68371 0.841853 0.539706i \(-0.181465\pi\)
0.841853 + 0.539706i \(0.181465\pi\)
\(594\) 7.55190i 0.309858i
\(595\) 0.630415 0.0258445
\(596\) 0.264396 + 0.457947i 0.0108301 + 0.0187582i
\(597\) 2.15523 5.92145i 0.0882077 0.242349i
\(598\) −13.2506 + 22.9507i −0.541858 + 0.938526i
\(599\) −3.03684 + 5.25996i −0.124082 + 0.214916i −0.921374 0.388678i \(-0.872932\pi\)
0.797292 + 0.603594i \(0.206265\pi\)
\(600\) −15.4145 + 2.71799i −0.629293 + 0.110961i
\(601\) 7.06758 + 12.2414i 0.288293 + 0.499338i 0.973402 0.229102i \(-0.0735791\pi\)
−0.685110 + 0.728440i \(0.740246\pi\)
\(602\) 3.87939 0.158112
\(603\) 1.68092 0.611806i 0.0684524 0.0249147i
\(604\) 3.03064 0.123315
\(605\) 5.57011 + 9.64771i 0.226457 + 0.392235i
\(606\) −1.67334 1.99421i −0.0679749 0.0810094i
\(607\) −23.0449 + 39.9149i −0.935363 + 1.62010i −0.161377 + 0.986893i \(0.551594\pi\)
−0.773986 + 0.633203i \(0.781740\pi\)
\(608\) −9.09627 + 15.7552i −0.368902 + 0.638958i
\(609\) −6.97906 8.31731i −0.282806 0.337035i
\(610\) 4.52481 + 7.83721i 0.183204 + 0.317319i
\(611\) −31.5226 −1.27527
\(612\) −1.61809 + 0.588936i −0.0654074 + 0.0238063i
\(613\) −26.4938 −1.07008 −0.535038 0.844828i \(-0.679703\pi\)
−0.535038 + 0.844828i \(0.679703\pi\)
\(614\) 2.77466 + 4.80586i 0.111976 + 0.193949i
\(615\) 7.84002 1.38241i 0.316140 0.0557440i
\(616\) −2.34477 + 4.06126i −0.0944735 + 0.163633i
\(617\) 1.12495 1.94847i 0.0452889 0.0784426i −0.842492 0.538708i \(-0.818913\pi\)
0.887781 + 0.460266i \(0.152246\pi\)
\(618\) −1.89528 + 5.20723i −0.0762392 + 0.209466i
\(619\) −3.09539 5.36137i −0.124414 0.215492i 0.797090 0.603861i \(-0.206372\pi\)
−0.921504 + 0.388369i \(0.873038\pi\)
\(620\) −15.2618 −0.612927
\(621\) 46.4721i 1.86486i
\(622\) 8.37557 0.335830
\(623\) −4.54323 7.86911i −0.182021 0.315269i
\(624\) −0.0836160 + 0.229733i −0.00334732 + 0.00919668i
\(625\) −0.533433 + 0.923933i −0.0213373 + 0.0369573i
\(626\) −7.75119 + 13.4255i −0.309800 + 0.536589i
\(627\) −9.09627 + 1.60392i −0.363270 + 0.0640543i
\(628\) 6.21523 + 10.7651i 0.248015 + 0.429574i
\(629\) 4.32089 0.172285
\(630\) 0.617211 3.50038i 0.0245903 0.139458i
\(631\) 26.1661 1.04166 0.520829 0.853661i \(-0.325623\pi\)
0.520829 + 0.853661i \(0.325623\pi\)
\(632\) 3.41029 + 5.90680i 0.135654 + 0.234960i
\(633\) −6.48293 7.72605i −0.257673 0.307083i
\(634\) 3.55138 6.15118i 0.141043 0.244295i
\(635\) 13.9927 24.2361i 0.555284 0.961781i
\(636\) −0.783890 0.934204i −0.0310833 0.0370436i
\(637\) 1.68479 + 2.91815i 0.0667539 + 0.115621i
\(638\) −9.11051 −0.360689
\(639\) 1.27403 + 1.06904i 0.0504000 + 0.0422906i
\(640\) 9.21894 0.364411
\(641\) −2.44444 4.23389i −0.0965496 0.167229i 0.813705 0.581278i \(-0.197447\pi\)
−0.910254 + 0.414050i \(0.864114\pi\)
\(642\) −10.6925 + 1.88538i −0.422001 + 0.0744101i
\(643\) 20.1839 34.9596i 0.795976 1.37867i −0.126242 0.992000i \(-0.540291\pi\)
0.922218 0.386671i \(-0.126375\pi\)
\(644\) 5.48545 9.50108i 0.216157 0.374395i
\(645\) 3.52094 9.67372i 0.138637 0.380902i
\(646\) −0.663848 1.14982i −0.0261188 0.0452390i
\(647\) −2.28075 −0.0896657 −0.0448329 0.998995i \(-0.514276\pi\)
−0.0448329 + 0.998995i \(0.514276\pi\)
\(648\) 4.43453 + 25.1495i 0.174205 + 0.987965i
\(649\) −17.1830 −0.674493
\(650\) 4.71853 + 8.17273i 0.185076 + 0.320561i
\(651\) −5.47044 + 15.0299i −0.214403 + 0.589068i
\(652\) −1.59240 + 2.75811i −0.0623631 + 0.108016i
\(653\) −11.7396 + 20.3336i −0.459407 + 0.795717i −0.998930 0.0462542i \(-0.985272\pi\)
0.539522 + 0.841971i \(0.318605\pi\)
\(654\) −0.605600 + 0.106784i −0.0236808 + 0.00417557i
\(655\) 4.82682 + 8.36030i 0.188599 + 0.326664i
\(656\) −0.142903 −0.00557944
\(657\) −4.71032 3.95243i −0.183767 0.154199i
\(658\) −8.22668 −0.320709
\(659\) 23.9812 + 41.5366i 0.934174 + 1.61804i 0.776101 + 0.630609i \(0.217195\pi\)
0.158073 + 0.987427i \(0.449472\pi\)
\(660\) 3.04101 + 3.62414i 0.118371 + 0.141069i
\(661\) −14.6545 + 25.3824i −0.569995 + 0.987260i 0.426571 + 0.904454i \(0.359721\pi\)
−0.996566 + 0.0828055i \(0.973612\pi\)
\(662\) 10.1348 17.5539i 0.393898 0.682252i
\(663\) 1.75537 + 2.09196i 0.0681728 + 0.0812452i
\(664\) 21.3516 + 36.9821i 0.828604 + 1.43518i
\(665\) −4.34730 −0.168581
\(666\) 4.23039 23.9917i 0.163924 0.929661i
\(667\) 56.0634 2.17078
\(668\) −14.2191 24.6282i −0.550154 0.952894i
\(669\) 12.0831 2.13057i 0.467158 0.0823726i
\(670\) 0.353226 0.611806i 0.0136463 0.0236361i
\(671\) −6.31180 + 10.9324i −0.243664 + 0.422039i
\(672\) 3.34002 9.17664i 0.128844 0.353996i
\(673\) −13.1591 22.7922i −0.507246 0.878576i −0.999965 0.00838731i \(-0.997330\pi\)
0.492719 0.870189i \(-0.336003\pi\)
\(674\) −25.5226 −0.983094
\(675\) 14.3316 + 8.27433i 0.551622 + 0.318479i
\(676\) 2.01899 0.0776535
\(677\) −17.9454 31.0823i −0.689697 1.19459i −0.971936 0.235246i \(-0.924411\pi\)
0.282239 0.959344i \(-0.408923\pi\)
\(678\) 7.48576 20.5669i 0.287489 0.789869i
\(679\) 0.949493 1.64457i 0.0364382 0.0631128i
\(680\) −0.894400 + 1.54915i −0.0342987 + 0.0594070i
\(681\) −20.3726 + 3.59224i −0.780679 + 0.137655i
\(682\) 6.71048 + 11.6229i 0.256958 + 0.445064i
\(683\) 35.0642 1.34169 0.670847 0.741596i \(-0.265931\pi\)
0.670847 + 0.741596i \(0.265931\pi\)
\(684\) 11.1582 4.06126i 0.426645 0.155286i
\(685\) 3.46110 0.132242
\(686\) 0.439693 + 0.761570i 0.0167875 + 0.0290769i
\(687\) 19.5421 + 23.2893i 0.745576 + 0.888543i
\(688\) −0.0923963 + 0.160035i −0.00352257 + 0.00610128i
\(689\) −0.967034 + 1.67495i −0.0368411 + 0.0638106i
\(690\) 11.7973 + 14.0594i 0.449114 + 0.535233i
\(691\) −1.03343 1.78996i −0.0393136 0.0680932i 0.845699 0.533660i \(-0.179184\pi\)
−0.885013 + 0.465567i \(0.845850\pi\)
\(692\) 5.82915 0.221591
\(693\) 4.65910 1.69577i 0.176985 0.0644171i
\(694\) −11.3847 −0.432159
\(695\) 4.13176 + 7.15642i 0.156727 + 0.271458i
\(696\) 30.3400 5.34976i 1.15004 0.202782i
\(697\) −0.798133 + 1.38241i −0.0302315 + 0.0523624i
\(698\) 0.643208 1.11407i 0.0243458 0.0421681i
\(699\) −9.62882 + 26.4550i −0.364196 + 1.00062i
\(700\) −1.95336 3.38332i −0.0738302 0.127878i
\(701\) −7.36009 −0.277987 −0.138993 0.990293i \(-0.544387\pi\)
−0.138993 + 0.990293i \(0.544387\pi\)
\(702\) 13.3342 7.69852i 0.503268 0.290562i
\(703\) −29.7965 −1.12380
\(704\) −4.16637 7.21637i −0.157026 0.271977i
\(705\) −7.46657 + 20.5142i −0.281207 + 0.772610i
\(706\) 6.30200 10.9154i 0.237179 0.410806i
\(707\) 0.854570 1.48016i 0.0321394 0.0556671i
\(708\) 21.7545 3.83590i 0.817584 0.144162i
\(709\) −4.55438 7.88841i −0.171043 0.296256i 0.767742 0.640760i \(-0.221380\pi\)
−0.938785 + 0.344504i \(0.888047\pi\)
\(710\) 0.656822 0.0246501
\(711\) 1.25221 7.10165i 0.0469616 0.266333i
\(712\) 25.7828 0.966252
\(713\) −41.2943 71.5239i −1.54648 2.67859i
\(714\) 0.458111 + 0.545955i 0.0171444 + 0.0204319i
\(715\) 3.75150 6.49778i 0.140298 0.243003i
\(716\) −5.23308 + 9.06396i −0.195569 + 0.338736i
\(717\) 16.8106 + 20.0341i 0.627804 + 0.748188i
\(718\) −9.20574 15.9448i −0.343555 0.595055i
\(719\) −25.9537 −0.967908 −0.483954 0.875093i \(-0.660800\pi\)
−0.483954 + 0.875093i \(0.660800\pi\)
\(720\) 0.129700 + 0.108831i 0.00483362 + 0.00405589i
\(721\) −3.63816 −0.135492
\(722\) −3.77631 6.54076i −0.140540 0.243422i
\(723\) −26.6746 + 4.70345i −0.992038 + 0.174923i
\(724\) −10.5706 + 18.3088i −0.392852 + 0.680440i
\(725\) 9.98205 17.2894i 0.370724 0.642113i
\(726\) −4.30747 + 11.8347i −0.159865 + 0.439226i
\(727\) 5.08007 + 8.79894i 0.188409 + 0.326335i 0.944720 0.327878i \(-0.106333\pi\)
−0.756311 + 0.654213i \(0.773000\pi\)
\(728\) −9.56118 −0.354361
\(729\) 13.5000 23.3827i 0.500000 0.866025i
\(730\) −2.42839 −0.0898786
\(731\) 1.03209 + 1.78763i 0.0381732 + 0.0661179i
\(732\) 5.55051 15.2499i 0.205153 0.563652i
\(733\) −20.3307 + 35.2138i −0.750931 + 1.30065i 0.196441 + 0.980516i \(0.437062\pi\)
−0.947372 + 0.320135i \(0.896272\pi\)
\(734\) −5.30154 + 9.18253i −0.195683 + 0.338933i
\(735\) 2.29813 0.405223i 0.0847679 0.0149469i
\(736\) 25.2126 + 43.6695i 0.929349 + 1.60968i
\(737\) 0.985452 0.0362996
\(738\) 6.89440 + 5.78509i 0.253786 + 0.212952i
\(739\) −25.3618 −0.932951 −0.466475 0.884534i \(-0.654476\pi\)
−0.466475 + 0.884534i \(0.654476\pi\)
\(740\) 7.63088 + 13.2171i 0.280517 + 0.485869i
\(741\) −12.1049 14.4260i −0.444684 0.529954i
\(742\) −0.252374 + 0.437124i −0.00926494 + 0.0160473i
\(743\) 11.2221 19.4372i 0.411699 0.713083i −0.583377 0.812202i \(-0.698269\pi\)
0.995076 + 0.0991184i \(0.0316023\pi\)
\(744\) −29.1725 34.7664i −1.06951 1.27460i
\(745\) −0.290393 0.502975i −0.0106392 0.0184276i
\(746\) 0.686852 0.0251474
\(747\) 7.84002 44.4630i 0.286851 1.62682i
\(748\) −0.948615 −0.0346848
\(749\) −3.56418 6.17334i −0.130232 0.225569i
\(750\) 16.5410 2.91663i 0.603992 0.106500i
\(751\) −12.1086 + 20.9727i −0.441849 + 0.765305i −0.997827 0.0658924i \(-0.979011\pi\)
0.555978 + 0.831197i \(0.312344\pi\)
\(752\) 0.195937 0.339373i 0.00714508 0.0123756i
\(753\) −11.2941 + 31.0303i −0.411580 + 1.13081i
\(754\) −9.28740 16.0862i −0.338227 0.585827i
\(755\) −3.32863 −0.121141
\(756\) −5.52007 + 3.18701i −0.200763 + 0.115911i
\(757\) 9.11793 0.331397 0.165698 0.986176i \(-0.447012\pi\)
0.165698 + 0.986176i \(0.447012\pi\)
\(758\) −3.04442 5.27308i −0.110578 0.191527i
\(759\) −8.75624 + 24.0576i −0.317832 + 0.873235i
\(760\) 6.16772 10.6828i 0.223727 0.387506i
\(761\) 9.13610 15.8242i 0.331183 0.573626i −0.651561 0.758596i \(-0.725886\pi\)
0.982744 + 0.184970i \(0.0592188\pi\)
\(762\) 31.1573 5.49388i 1.12871 0.199022i
\(763\) −0.201867 0.349643i −0.00730806 0.0126579i
\(764\) −15.8357 −0.572917
\(765\) 1.77719 0.646844i 0.0642544 0.0233867i
\(766\) −6.79973 −0.245684
\(767\) −17.5167 30.3398i −0.632490 1.09550i
\(768\) 17.9259 + 21.3633i 0.646846 + 0.770881i
\(769\) −9.26470 + 16.0469i −0.334094 + 0.578667i −0.983310 0.181936i \(-0.941764\pi\)
0.649217 + 0.760604i \(0.275097\pi\)
\(770\) 0.979055 1.69577i 0.0352827 0.0611114i
\(771\) −29.5945 35.2694i −1.06582 1.27020i
\(772\) −0.391407 0.677937i −0.0140870 0.0243995i
\(773\) −2.96080 −0.106493 −0.0532463 0.998581i \(-0.516957\pi\)
−0.0532463 + 0.998581i \(0.516957\pi\)
\(774\) 10.9363 3.98048i 0.393097 0.143076i