Properties

Label 546.2.bv.a.317.9
Level $546$
Weight $2$
Character 546.317
Analytic conductor $4.360$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 317.9
Character \(\chi\) \(=\) 546.317
Dual form 546.2.bv.a.515.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.214218 + 1.71875i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.579405 + 0.155251i) q^{5} +(-0.237927 - 1.71563i) q^{6} +(0.0183841 - 2.64569i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.90822 - 0.736375i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.214218 + 1.71875i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.579405 + 0.155251i) q^{5} +(-0.237927 - 1.71563i) q^{6} +(0.0183841 - 2.64569i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.90822 - 0.736375i) q^{9} +(0.519481 - 0.299922i) q^{10} +(3.10273 + 0.831373i) q^{11} +(0.673858 + 1.59559i) q^{12} +(3.60424 - 0.0973883i) q^{13} +(0.666997 + 2.56030i) q^{14} +(-0.142719 - 1.02911i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.59410 + 4.49310i) q^{17} +(2.99971 - 0.0414195i) q^{18} +(2.15080 + 8.02689i) q^{19} +(-0.424154 + 0.424154i) q^{20} +(4.54334 + 0.598351i) q^{21} -3.21218 q^{22} +(-0.637898 + 1.10487i) q^{23} +(-1.06387 - 1.36682i) q^{24} +(-4.01852 + 2.32009i) q^{25} +(-3.45622 + 1.02691i) q^{26} +(1.88864 - 4.84077i) q^{27} +(-1.30692 - 2.30042i) q^{28} -4.10654i q^{29} +(0.404210 + 0.957107i) q^{30} +(-5.29917 - 1.41991i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-2.09358 + 5.15472i) q^{33} +(-3.66860 - 3.66860i) q^{34} +(0.400094 + 1.53578i) q^{35} +(-2.88678 + 0.816391i) q^{36} +(3.77455 - 1.01139i) q^{37} +(-4.15502 - 7.19671i) q^{38} +(-0.604705 + 6.21565i) q^{39} +(0.299922 - 0.519481i) q^{40} +(5.19752 + 5.19752i) q^{41} +(-4.54340 + 0.597941i) q^{42} +9.47120i q^{43} +(3.10273 - 0.831373i) q^{44} +(1.79936 - 0.0248453i) q^{45} +(0.330201 - 1.23233i) q^{46} +(-1.48819 - 5.55402i) q^{47} +(1.38137 + 1.04489i) q^{48} +(-6.99932 - 0.0972771i) q^{49} +(3.28111 - 3.28111i) q^{50} +(-8.27824 + 3.49610i) q^{51} +(3.07267 - 1.88646i) q^{52} +(-1.48181 + 0.855522i) q^{53} +(-0.571402 + 5.16464i) q^{54} -1.92681 q^{55} +(1.85778 + 1.88378i) q^{56} +(-14.2570 + 1.97719i) q^{57} +(1.06285 + 3.96661i) q^{58} +(3.14252 + 0.842037i) q^{59} +(-0.638155 - 0.819878i) q^{60} +(0.398128 - 0.689579i) q^{61} +5.48610 q^{62} +(-2.00168 + 7.68071i) q^{63} -1.00000i q^{64} +(-2.07319 + 0.615989i) q^{65} +(0.688106 - 5.52094i) q^{66} +(6.42620 + 1.72190i) q^{67} +(4.49310 + 2.59410i) q^{68} +(-1.76235 - 1.33307i) q^{69} +(-0.783950 - 1.37990i) q^{70} +(8.81512 + 8.81512i) q^{71} +(2.57712 - 1.53573i) q^{72} +(1.65075 - 6.16069i) q^{73} +(-3.38417 + 1.95385i) q^{74} +(-3.12683 - 7.40385i) q^{75} +(5.87609 + 5.87609i) q^{76} +(2.25659 - 8.19356i) q^{77} +(-1.02463 - 6.16037i) q^{78} +(-2.17550 + 3.76807i) q^{79} +(-0.155251 + 0.579405i) q^{80} +(7.91550 + 4.28308i) q^{81} +(-6.36563 - 3.67520i) q^{82} +(9.60558 + 9.60558i) q^{83} +(4.23383 - 1.75348i) q^{84} +(-2.20059 - 2.20059i) q^{85} +(-2.45133 - 9.14848i) q^{86} +(7.05812 + 0.879694i) q^{87} +(-2.78183 + 1.60609i) q^{88} +(3.10650 + 11.5936i) q^{89} +(-1.73162 + 0.489708i) q^{90} +(-0.191398 - 9.53747i) q^{91} +1.27580i q^{92} +(3.57565 - 8.80379i) q^{93} +(2.87497 + 4.97960i) q^{94} +(-2.49237 - 4.31691i) q^{95} +(-1.60474 - 0.651764i) q^{96} +(9.09518 - 9.09518i) q^{97} +(6.78601 - 1.71760i) q^{98} +(-8.41121 - 4.70259i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 16 q^{7} + O(q^{10}) \) \( 144 q - 16 q^{7} + 72 q^{16} + 16 q^{18} + 8 q^{19} + 8 q^{21} + 24 q^{27} - 8 q^{28} - 8 q^{31} + 12 q^{33} - 8 q^{37} + 16 q^{39} - 40 q^{45} + 8 q^{46} + 8 q^{52} - 12 q^{54} - 32 q^{55} + 16 q^{57} + 8 q^{58} - 32 q^{61} - 40 q^{63} - 32 q^{66} - 8 q^{67} + 16 q^{72} + 80 q^{73} - 16 q^{76} + 16 q^{78} - 112 q^{79} - 48 q^{81} + 16 q^{84} - 80 q^{85} + 96 q^{87} - 32 q^{91} + 36 q^{93} - 64 q^{94} - 144 q^{97} - 32 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) −0.214218 + 1.71875i −0.123679 + 0.992322i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.579405 + 0.155251i −0.259118 + 0.0694304i −0.386039 0.922482i \(-0.626157\pi\)
0.126921 + 0.991913i \(0.459490\pi\)
\(6\) −0.237927 1.71563i −0.0971334 0.700404i
\(7\) 0.0183841 2.64569i 0.00694853 0.999976i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.90822 0.736375i −0.969407 0.245458i
\(10\) 0.519481 0.299922i 0.164274 0.0948438i
\(11\) 3.10273 + 0.831373i 0.935507 + 0.250668i 0.694201 0.719781i \(-0.255758\pi\)
0.241306 + 0.970449i \(0.422424\pi\)
\(12\) 0.673858 + 1.59559i 0.194526 + 0.460608i
\(13\) 3.60424 0.0973883i 0.999635 0.0270106i
\(14\) 0.666997 + 2.56030i 0.178262 + 0.684268i
\(15\) −0.142719 1.02911i −0.0368500 0.265716i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.59410 + 4.49310i 0.629160 + 1.08974i 0.987721 + 0.156231i \(0.0499345\pi\)
−0.358560 + 0.933507i \(0.616732\pi\)
\(18\) 2.99971 0.0414195i 0.707039 0.00976267i
\(19\) 2.15080 + 8.02689i 0.493427 + 1.84149i 0.538668 + 0.842518i \(0.318928\pi\)
−0.0452411 + 0.998976i \(0.514406\pi\)
\(20\) −0.424154 + 0.424154i −0.0948438 + 0.0948438i
\(21\) 4.54334 + 0.598351i 0.991439 + 0.130571i
\(22\) −3.21218 −0.684839
\(23\) −0.637898 + 1.10487i −0.133011 + 0.230382i −0.924836 0.380366i \(-0.875798\pi\)
0.791825 + 0.610748i \(0.209131\pi\)
\(24\) −1.06387 1.36682i −0.217161 0.279000i
\(25\) −4.01852 + 2.32009i −0.803704 + 0.464019i
\(26\) −3.45622 + 1.02691i −0.677820 + 0.201395i
\(27\) 1.88864 4.84077i 0.363469 0.931606i
\(28\) −1.30692 2.30042i −0.246985 0.434739i
\(29\) 4.10654i 0.762565i −0.924459 0.381283i \(-0.875483\pi\)
0.924459 0.381283i \(-0.124517\pi\)
\(30\) 0.404210 + 0.957107i 0.0737984 + 0.174743i
\(31\) −5.29917 1.41991i −0.951758 0.255023i −0.250650 0.968078i \(-0.580644\pi\)
−0.701108 + 0.713055i \(0.747311\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −2.09358 + 5.15472i −0.364446 + 0.897322i
\(34\) −3.66860 3.66860i −0.629160 0.629160i
\(35\) 0.400094 + 1.53578i 0.0676283 + 0.259594i
\(36\) −2.88678 + 0.816391i −0.481130 + 0.136065i
\(37\) 3.77455 1.01139i 0.620532 0.166271i 0.0651624 0.997875i \(-0.479243\pi\)
0.555370 + 0.831604i \(0.312577\pi\)
\(38\) −4.15502 7.19671i −0.674034 1.16746i
\(39\) −0.604705 + 6.21565i −0.0968303 + 0.995301i
\(40\) 0.299922 0.519481i 0.0474219 0.0821371i
\(41\) 5.19752 + 5.19752i 0.811716 + 0.811716i 0.984891 0.173175i \(-0.0554027\pi\)
−0.173175 + 0.984891i \(0.555403\pi\)
\(42\) −4.54340 + 0.597941i −0.701062 + 0.0922643i
\(43\) 9.47120i 1.44434i 0.691713 + 0.722172i \(0.256856\pi\)
−0.691713 + 0.722172i \(0.743144\pi\)
\(44\) 3.10273 0.831373i 0.467754 0.125334i
\(45\) 1.79936 0.0248453i 0.268233 0.00370371i
\(46\) 0.330201 1.23233i 0.0486854 0.181696i
\(47\) −1.48819 5.55402i −0.217075 0.810137i −0.985426 0.170107i \(-0.945589\pi\)
0.768350 0.640030i \(-0.221078\pi\)
\(48\) 1.38137 + 1.04489i 0.199384 + 0.150818i
\(49\) −6.99932 0.0972771i −0.999903 0.0138967i
\(50\) 3.28111 3.28111i 0.464019 0.464019i
\(51\) −8.27824 + 3.49610i −1.15918 + 0.489553i
\(52\) 3.07267 1.88646i 0.426102 0.261605i
\(53\) −1.48181 + 0.855522i −0.203542 + 0.117515i −0.598306 0.801267i \(-0.704159\pi\)
0.394765 + 0.918782i \(0.370826\pi\)
\(54\) −0.571402 + 5.16464i −0.0777580 + 0.702818i
\(55\) −1.92681 −0.259811
\(56\) 1.85778 + 1.88378i 0.248257 + 0.251731i
\(57\) −14.2570 + 1.97719i −1.88838 + 0.261885i
\(58\) 1.06285 + 3.96661i 0.139559 + 0.520842i
\(59\) 3.14252 + 0.842037i 0.409122 + 0.109624i 0.457509 0.889205i \(-0.348742\pi\)
−0.0483876 + 0.998829i \(0.515408\pi\)
\(60\) −0.638155 0.819878i −0.0823854 0.105846i
\(61\) 0.398128 0.689579i 0.0509751 0.0882915i −0.839412 0.543496i \(-0.817100\pi\)
0.890387 + 0.455204i \(0.150434\pi\)
\(62\) 5.48610 0.696736
\(63\) −2.00168 + 7.68071i −0.252188 + 0.967678i
\(64\) 1.00000i 0.125000i
\(65\) −2.07319 + 0.615989i −0.257148 + 0.0764041i
\(66\) 0.688106 5.52094i 0.0847000 0.679581i
\(67\) 6.42620 + 1.72190i 0.785085 + 0.210363i 0.629026 0.777385i \(-0.283454\pi\)
0.156060 + 0.987748i \(0.450121\pi\)
\(68\) 4.49310 + 2.59410i 0.544869 + 0.314580i
\(69\) −1.76235 1.33307i −0.212162 0.160483i
\(70\) −0.783950 1.37990i −0.0937000 0.164929i
\(71\) 8.81512 + 8.81512i 1.04616 + 1.04616i 0.998882 + 0.0472805i \(0.0150554\pi\)
0.0472805 + 0.998882i \(0.484945\pi\)
\(72\) 2.57712 1.53573i 0.303716 0.180987i
\(73\) 1.65075 6.16069i 0.193206 0.721054i −0.799518 0.600642i \(-0.794912\pi\)
0.992724 0.120412i \(-0.0384216\pi\)
\(74\) −3.38417 + 1.95385i −0.393401 + 0.227130i
\(75\) −3.12683 7.40385i −0.361055 0.854923i
\(76\) 5.87609 + 5.87609i 0.674034 + 0.674034i
\(77\) 2.25659 8.19356i 0.257163 0.933743i
\(78\) −1.02463 6.16037i −0.116016 0.697524i
\(79\) −2.17550 + 3.76807i −0.244763 + 0.423942i −0.962065 0.272821i \(-0.912043\pi\)
0.717302 + 0.696762i \(0.245377\pi\)
\(80\) −0.155251 + 0.579405i −0.0173576 + 0.0647795i
\(81\) 7.91550 + 4.28308i 0.879500 + 0.475898i
\(82\) −6.36563 3.67520i −0.702966 0.405858i
\(83\) 9.60558 + 9.60558i 1.05435 + 1.05435i 0.998436 + 0.0559134i \(0.0178071\pi\)
0.0559134 + 0.998436i \(0.482193\pi\)
\(84\) 4.23383 1.75348i 0.461948 0.191321i
\(85\) −2.20059 2.20059i −0.238688 0.238688i
\(86\) −2.45133 9.14848i −0.264333 0.986506i
\(87\) 7.05812 + 0.879694i 0.756710 + 0.0943131i
\(88\) −2.78183 + 1.60609i −0.296544 + 0.171210i
\(89\) 3.10650 + 11.5936i 0.329288 + 1.22892i 0.909930 + 0.414762i \(0.136135\pi\)
−0.580642 + 0.814159i \(0.697198\pi\)
\(90\) −1.73162 + 0.489708i −0.182529 + 0.0516197i
\(91\) −0.191398 9.53747i −0.0200640 0.999799i
\(92\) 1.27580i 0.133011i
\(93\) 3.57565 8.80379i 0.370777 0.912910i
\(94\) 2.87497 + 4.97960i 0.296531 + 0.513606i
\(95\) −2.49237 4.31691i −0.255712 0.442905i
\(96\) −1.60474 0.651764i −0.163783 0.0665204i
\(97\) 9.09518 9.09518i 0.923475 0.923475i −0.0737979 0.997273i \(-0.523512\pi\)
0.997273 + 0.0737979i \(0.0235120\pi\)
\(98\) 6.78601 1.71760i 0.685490 0.173503i
\(99\) −8.41121 4.70259i −0.845359 0.472628i
\(100\) −2.32009 + 4.01852i −0.232009 + 0.401852i
\(101\) −5.76486 9.98503i −0.573625 0.993548i −0.996190 0.0872149i \(-0.972203\pi\)
0.422564 0.906333i \(-0.361130\pi\)
\(102\) 7.09130 5.51954i 0.702144 0.546516i
\(103\) 0.364990 + 0.210727i 0.0359636 + 0.0207636i 0.517874 0.855457i \(-0.326724\pi\)
−0.481910 + 0.876220i \(0.660057\pi\)
\(104\) −2.47972 + 2.61744i −0.243156 + 0.256661i
\(105\) −2.72533 + 0.358672i −0.265965 + 0.0350028i
\(106\) 1.20989 1.20989i 0.117515 0.117515i
\(107\) −11.0489 6.37909i −1.06814 0.616690i −0.140466 0.990086i \(-0.544860\pi\)
−0.927672 + 0.373396i \(0.878193\pi\)
\(108\) −0.784775 5.13655i −0.0755150 0.494265i
\(109\) −6.59696 1.76765i −0.631874 0.169310i −0.0713542 0.997451i \(-0.522732\pi\)
−0.560520 + 0.828141i \(0.689399\pi\)
\(110\) 1.86115 0.498695i 0.177454 0.0475487i
\(111\) 0.929749 + 6.70417i 0.0882479 + 0.636332i
\(112\) −2.28204 1.33876i −0.215633 0.126501i
\(113\) 16.8438i 1.58453i −0.610175 0.792267i \(-0.708901\pi\)
0.610175 0.792267i \(-0.291099\pi\)
\(114\) 13.2594 5.59979i 1.24186 0.524469i
\(115\) 0.198069 0.739204i 0.0184700 0.0689311i
\(116\) −2.05327 3.55637i −0.190641 0.330200i
\(117\) −10.5536 2.37084i −0.975683 0.219184i
\(118\) −3.25338 −0.299498
\(119\) 11.9350 6.78056i 1.09408 0.621573i
\(120\) 0.828610 + 0.626774i 0.0756414 + 0.0572164i
\(121\) −0.590549 0.340954i −0.0536863 0.0309958i
\(122\) −0.206086 + 0.769125i −0.0186582 + 0.0696333i
\(123\) −10.0466 + 7.81984i −0.905876 + 0.705092i
\(124\) −5.29917 + 1.41991i −0.475879 + 0.127511i
\(125\) 4.08893 4.08893i 0.365725 0.365725i
\(126\) −0.0544360 7.93707i −0.00484955 0.707090i
\(127\) 2.45849i 0.218155i 0.994033 + 0.109078i \(0.0347897\pi\)
−0.994033 + 0.109078i \(0.965210\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −16.2787 2.02890i −1.43326 0.178635i
\(130\) 1.84312 1.13158i 0.161652 0.0992463i
\(131\) 18.1910 + 10.5026i 1.58936 + 0.917616i 0.993413 + 0.114590i \(0.0365554\pi\)
0.595944 + 0.803026i \(0.296778\pi\)
\(132\) 0.764265 + 5.51091i 0.0665208 + 0.479664i
\(133\) 21.2762 5.54277i 1.84488 0.480619i
\(134\) −6.65289 −0.574722
\(135\) −0.342753 + 3.09798i −0.0294995 + 0.266632i
\(136\) −5.01141 1.34280i −0.429725 0.115144i
\(137\) −5.66907 1.51902i −0.484342 0.129779i 0.00838191 0.999965i \(-0.497332\pi\)
−0.492723 + 0.870186i \(0.663999\pi\)
\(138\) 2.04733 + 0.831519i 0.174280 + 0.0707836i
\(139\) 3.39367 0.287847 0.143923 0.989589i \(-0.454028\pi\)
0.143923 + 0.989589i \(0.454028\pi\)
\(140\) 1.11438 + 1.12998i 0.0941824 + 0.0955005i
\(141\) 9.86478 1.36807i 0.830764 0.115212i
\(142\) −10.7963 6.23323i −0.906003 0.523081i
\(143\) 11.2639 + 2.69430i 0.941937 + 0.225308i
\(144\) −2.09183 + 2.15041i −0.174319 + 0.179201i
\(145\) 0.637545 + 2.37935i 0.0529452 + 0.197594i
\(146\) 6.37801i 0.527848i
\(147\) 1.66658 12.0093i 0.137457 0.990508i
\(148\) 2.76316 2.76316i 0.227130 0.227130i
\(149\) −21.0577 + 5.64239i −1.72511 + 0.462242i −0.979048 0.203631i \(-0.934726\pi\)
−0.746065 + 0.665873i \(0.768059\pi\)
\(150\) 4.93654 + 6.34228i 0.403067 + 0.517845i
\(151\) −2.93466 + 10.9523i −0.238819 + 0.891286i 0.737571 + 0.675270i \(0.235973\pi\)
−0.976390 + 0.216016i \(0.930694\pi\)
\(152\) −7.19671 4.15502i −0.583730 0.337017i
\(153\) −4.23559 14.9772i −0.342427 1.21083i
\(154\) −0.0590530 + 8.49842i −0.00475862 + 0.684822i
\(155\) 3.29081 0.264324
\(156\) 2.58414 + 5.68527i 0.206896 + 0.455186i
\(157\) −11.9352 20.6724i −0.952533 1.64984i −0.739915 0.672701i \(-0.765134\pi\)
−0.212619 0.977135i \(-0.568199\pi\)
\(158\) 1.12612 4.20274i 0.0895894 0.334352i
\(159\) −1.15300 2.73013i −0.0914389 0.216513i
\(160\) 0.599845i 0.0474219i
\(161\) 2.91142 + 1.70799i 0.229452 + 0.134609i
\(162\) −8.75433 2.08846i −0.687805 0.164085i
\(163\) −1.30429 + 0.349483i −0.102160 + 0.0273737i −0.309537 0.950887i \(-0.600174\pi\)
0.207377 + 0.978261i \(0.433507\pi\)
\(164\) 7.09994 + 1.90242i 0.554412 + 0.148554i
\(165\) 0.412757 3.31171i 0.0321331 0.257816i
\(166\) −11.7644 6.79217i −0.913093 0.527175i
\(167\) 0.236454 0.236454i 0.0182973 0.0182973i −0.697899 0.716196i \(-0.745882\pi\)
0.716196 + 0.697899i \(0.245882\pi\)
\(168\) −3.63573 + 2.78953i −0.280502 + 0.215217i
\(169\) 12.9810 0.702021i 0.998541 0.0540016i
\(170\) 2.69516 + 1.55605i 0.206710 + 0.119344i
\(171\) −0.344198 24.9278i −0.0263215 1.90627i
\(172\) 4.73560 + 8.20230i 0.361086 + 0.625420i
\(173\) 12.6750 21.9538i 0.963663 1.66911i 0.250497 0.968117i \(-0.419406\pi\)
0.713166 0.700996i \(-0.247261\pi\)
\(174\) −7.04531 + 0.977058i −0.534103 + 0.0740706i
\(175\) 6.06436 + 10.6744i 0.458423 + 0.806909i
\(176\) 2.27135 2.27135i 0.171210 0.171210i
\(177\) −2.12044 + 5.22084i −0.159382 + 0.392423i
\(178\) −6.00130 10.3946i −0.449816 0.779105i
\(179\) −1.48007 2.56356i −0.110626 0.191609i 0.805397 0.592736i \(-0.201952\pi\)
−0.916023 + 0.401126i \(0.868619\pi\)
\(180\) 1.54587 0.921198i 0.115222 0.0686620i
\(181\) 0.717545i 0.0533347i −0.999644 0.0266674i \(-0.991511\pi\)
0.999644 0.0266674i \(-0.00848949\pi\)
\(182\) 2.65336 + 9.16295i 0.196680 + 0.679203i
\(183\) 1.09993 + 0.832004i 0.0813091 + 0.0615035i
\(184\) −0.330201 1.23233i −0.0243427 0.0908482i
\(185\) −2.02997 + 1.17201i −0.149247 + 0.0861676i
\(186\) −1.17522 + 9.42925i −0.0861714 + 0.691386i
\(187\) 4.31332 + 16.0975i 0.315421 + 1.17717i
\(188\) −4.06582 4.06582i −0.296531 0.296531i
\(189\) −12.7724 5.08574i −0.929058 0.369933i
\(190\) 3.52474 + 3.52474i 0.255712 + 0.255712i
\(191\) −12.6313 7.29268i −0.913968 0.527680i −0.0322624 0.999479i \(-0.510271\pi\)
−0.881706 + 0.471800i \(0.843605\pi\)
\(192\) 1.71875 + 0.214218i 0.124040 + 0.0154598i
\(193\) 5.24169 19.5623i 0.377305 1.40812i −0.472642 0.881255i \(-0.656699\pi\)
0.849947 0.526868i \(-0.176634\pi\)
\(194\) −6.43126 + 11.1393i −0.461738 + 0.799753i
\(195\) −0.614618 3.69526i −0.0440137 0.264623i
\(196\) −6.11023 + 3.41542i −0.436445 + 0.243958i
\(197\) −0.904894 0.904894i −0.0644710 0.0644710i 0.674136 0.738607i \(-0.264516\pi\)
−0.738607 + 0.674136i \(0.764516\pi\)
\(198\) 9.34173 + 2.36537i 0.663888 + 0.168099i
\(199\) −2.41271 + 1.39298i −0.171032 + 0.0987456i −0.583073 0.812420i \(-0.698150\pi\)
0.412040 + 0.911166i \(0.364816\pi\)
\(200\) 1.20097 4.48208i 0.0849213 0.316931i
\(201\) −4.33612 + 10.6762i −0.305846 + 0.753040i
\(202\) 8.15274 + 8.15274i 0.573625 + 0.573625i
\(203\) −10.8646 0.0754949i −0.762547 0.00529871i
\(204\) −5.42111 + 7.16683i −0.379554 + 0.501779i
\(205\) −3.81839 2.20455i −0.266688 0.153972i
\(206\) −0.407094 0.109080i −0.0283636 0.00760000i
\(207\) 2.66875 2.74348i 0.185491 0.190685i
\(208\) 1.71778 3.17005i 0.119106 0.219804i
\(209\) 26.6934i 1.84642i
\(210\) 2.53964 1.05182i 0.175252 0.0725824i
\(211\) 2.68634 0.184935 0.0924677 0.995716i \(-0.470524\pi\)
0.0924677 + 0.995716i \(0.470524\pi\)
\(212\) −0.855522 + 1.48181i −0.0587575 + 0.101771i
\(213\) −17.0394 + 13.2627i −1.16752 + 0.908742i
\(214\) 12.3235 + 3.30206i 0.842414 + 0.225724i
\(215\) −1.47042 5.48766i −0.100281 0.374256i
\(216\) 2.08747 + 4.75841i 0.142034 + 0.323769i
\(217\) −3.85405 + 13.9938i −0.261630 + 0.949963i
\(218\) 6.82968 0.462564
\(219\) 10.2351 + 4.15696i 0.691622 + 0.280901i
\(220\) −1.66866 + 0.963404i −0.112501 + 0.0649527i
\(221\) 9.78731 + 15.9416i 0.658365 + 1.07235i
\(222\) −2.63324 6.23510i −0.176731 0.418472i
\(223\) 2.18383 2.18383i 0.146240 0.146240i −0.630196 0.776436i \(-0.717025\pi\)
0.776436 + 0.630196i \(0.217025\pi\)
\(224\) 2.55078 + 0.702512i 0.170431 + 0.0469386i
\(225\) 13.3952 3.78821i 0.893014 0.252547i
\(226\) 4.35950 + 16.2699i 0.289990 + 1.08226i
\(227\) 5.50302 20.5375i 0.365248 1.36312i −0.501836 0.864963i \(-0.667342\pi\)
0.867084 0.498162i \(-0.165991\pi\)
\(228\) −11.3583 + 8.84078i −0.752222 + 0.585495i
\(229\) 4.13582 1.10819i 0.273303 0.0732312i −0.119565 0.992826i \(-0.538150\pi\)
0.392867 + 0.919595i \(0.371483\pi\)
\(230\) 0.765280i 0.0504611i
\(231\) 13.5993 + 5.63373i 0.894768 + 0.370672i
\(232\) 2.90376 + 2.90376i 0.190641 + 0.190641i
\(233\) −7.18694 + 12.4481i −0.470832 + 0.815505i −0.999443 0.0333591i \(-0.989379\pi\)
0.528612 + 0.848864i \(0.322713\pi\)
\(234\) 10.8076 0.441423i 0.706518 0.0288567i
\(235\) 1.72454 + 2.98698i 0.112496 + 0.194849i
\(236\) 3.14252 0.842037i 0.204561 0.0548119i
\(237\) −6.01036 4.54633i −0.390415 0.295316i
\(238\) −9.77342 + 9.63854i −0.633517 + 0.624774i
\(239\) −7.07117 7.07117i −0.457396 0.457396i 0.440404 0.897800i \(-0.354835\pi\)
−0.897800 + 0.440404i \(0.854835\pi\)
\(240\) −0.962597 0.390957i −0.0621354 0.0252362i
\(241\) 2.14060 7.98882i 0.137888 0.514605i −0.862081 0.506770i \(-0.830839\pi\)
0.999969 0.00783522i \(-0.00249405\pi\)
\(242\) 0.658672 + 0.176491i 0.0423411 + 0.0113453i
\(243\) −9.05720 + 12.6873i −0.581020 + 0.813889i
\(244\) 0.796257i 0.0509751i
\(245\) 4.07055 1.03029i 0.260058 0.0658229i
\(246\) 7.68039 10.1537i 0.489684 0.647373i
\(247\) 8.53371 + 28.7213i 0.542987 + 1.82749i
\(248\) 4.75110 2.74305i 0.301695 0.174184i
\(249\) −18.5673 + 14.4519i −1.17665 + 0.915854i
\(250\) −2.89131 + 5.00789i −0.182862 + 0.316727i
\(251\) −25.4886 −1.60882 −0.804412 0.594071i \(-0.797520\pi\)
−0.804412 + 0.594071i \(0.797520\pi\)
\(252\) 2.10685 + 7.65253i 0.132719 + 0.482064i
\(253\) −2.89779 + 2.89779i −0.182182 + 0.182182i
\(254\) −0.636303 2.37472i −0.0399252 0.149003i
\(255\) 4.25368 3.31087i 0.266376 0.207335i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −6.50252 + 11.2627i −0.405616 + 0.702548i −0.994393 0.105748i \(-0.966276\pi\)
0.588777 + 0.808296i \(0.299610\pi\)
\(258\) 16.2491 2.25346i 1.01162 0.140294i
\(259\) −2.60642 10.0049i −0.161955 0.621672i
\(260\) −1.48744 + 1.57006i −0.0922474 + 0.0973709i
\(261\) −3.02395 + 11.9427i −0.187178 + 0.739236i
\(262\) −20.2894 5.43654i −1.25349 0.335871i
\(263\) 7.46602 4.31051i 0.460375 0.265797i −0.251827 0.967772i \(-0.581031\pi\)
0.712202 + 0.701975i \(0.247698\pi\)
\(264\) −2.16455 5.12533i −0.133219 0.315442i
\(265\) 0.725746 0.725746i 0.0445822 0.0445822i
\(266\) −19.1166 + 10.8606i −1.17212 + 0.665905i
\(267\) −20.5920 + 2.85575i −1.26021 + 0.174769i
\(268\) 6.42620 1.72190i 0.392543 0.105181i
\(269\) −19.8943 + 11.4860i −1.21298 + 0.700313i −0.963407 0.268044i \(-0.913623\pi\)
−0.249571 + 0.968357i \(0.580290\pi\)
\(270\) −0.470743 3.08113i −0.0286485 0.187512i
\(271\) 19.2021 5.14519i 1.16645 0.312548i 0.376909 0.926250i \(-0.376987\pi\)
0.789538 + 0.613702i \(0.210320\pi\)
\(272\) 5.18819 0.314580
\(273\) 16.4336 + 1.71413i 0.994604 + 0.103744i
\(274\) 5.86906 0.354563
\(275\) −14.3972 + 3.85773i −0.868186 + 0.232630i
\(276\) −2.19278 0.273298i −0.131990 0.0164506i
\(277\) 12.9397 7.47073i 0.777470 0.448872i −0.0580630 0.998313i \(-0.518492\pi\)
0.835533 + 0.549440i \(0.185159\pi\)
\(278\) −3.27803 + 0.878345i −0.196603 + 0.0526796i
\(279\) 14.3656 + 8.03158i 0.860044 + 0.480838i
\(280\) −1.36887 0.803051i −0.0818056 0.0479915i
\(281\) −0.842761 + 0.842761i −0.0502749 + 0.0502749i −0.731797 0.681522i \(-0.761318\pi\)
0.681522 + 0.731797i \(0.261318\pi\)
\(282\) −9.17456 + 3.87465i −0.546337 + 0.230732i
\(283\) 4.36513 2.52021i 0.259480 0.149811i −0.364617 0.931158i \(-0.618800\pi\)
0.624097 + 0.781346i \(0.285467\pi\)
\(284\) 12.0417 + 3.22656i 0.714542 + 0.191461i
\(285\) 7.95361 3.35901i 0.471131 0.198970i
\(286\) −11.5774 + 0.312829i −0.684589 + 0.0184979i
\(287\) 13.8466 13.6555i 0.817336 0.806056i
\(288\) 1.46399 2.61854i 0.0862662 0.154299i
\(289\) −4.95866 + 8.58865i −0.291686 + 0.505215i
\(290\) −1.23164 2.13327i −0.0723245 0.125270i
\(291\) 13.6840 + 17.5807i 0.802171 + 1.03060i
\(292\) −1.65075 6.16069i −0.0966029 0.360527i
\(293\) −4.76090 + 4.76090i −0.278135 + 0.278135i −0.832364 0.554229i \(-0.813013\pi\)
0.554229 + 0.832364i \(0.313013\pi\)
\(294\) 1.49844 + 12.0314i 0.0873907 + 0.701686i
\(295\) −1.95152 −0.113622
\(296\) −1.95385 + 3.38417i −0.113565 + 0.196701i
\(297\) 9.88442 13.4494i 0.573552 0.780414i
\(298\) 18.8798 10.9003i 1.09368 0.631435i
\(299\) −2.19153 + 4.04434i −0.126740 + 0.233891i
\(300\) −6.40984 4.84850i −0.370072 0.279929i
\(301\) 25.0578 + 0.174119i 1.44431 + 0.0100361i
\(302\) 11.3387i 0.652466i
\(303\) 18.3967 7.76940i 1.05686 0.446340i
\(304\) 8.02689 + 2.15080i 0.460374 + 0.123357i
\(305\) −0.123620 + 0.461355i −0.00707845 + 0.0264171i
\(306\) 7.96765 + 13.3706i 0.455480 + 0.764345i
\(307\) −17.3519 17.3519i −0.990324 0.990324i 0.00962922 0.999954i \(-0.496935\pi\)
−0.999954 + 0.00962922i \(0.996935\pi\)
\(308\) −2.14251 8.22413i −0.122081 0.468613i
\(309\) −0.440376 + 0.582187i −0.0250521 + 0.0331194i
\(310\) −3.17868 + 0.851724i −0.180537 + 0.0483747i
\(311\) 12.1990 + 21.1294i 0.691744 + 1.19814i 0.971266 + 0.237997i \(0.0764909\pi\)
−0.279521 + 0.960139i \(0.590176\pi\)
\(312\) −3.96754 4.82272i −0.224618 0.273033i
\(313\) 12.9180 22.3747i 0.730171 1.26469i −0.226639 0.973979i \(-0.572774\pi\)
0.956810 0.290714i \(-0.0938930\pi\)
\(314\) 16.8789 + 16.8789i 0.952533 + 0.952533i
\(315\) −0.0326531 4.76101i −0.00183980 0.268252i
\(316\) 4.35100i 0.244763i
\(317\) −14.2207 + 3.81041i −0.798712 + 0.214014i −0.635018 0.772497i \(-0.719007\pi\)
−0.163693 + 0.986511i \(0.552341\pi\)
\(318\) 1.82032 + 2.33868i 0.102079 + 0.131147i
\(319\) 3.41407 12.7415i 0.191151 0.713385i
\(320\) 0.155251 + 0.579405i 0.00867881 + 0.0323897i
\(321\) 13.3310 17.6238i 0.744061 0.983666i
\(322\) −3.25428 0.896263i −0.181354 0.0499468i
\(323\) −30.4863 + 30.4863i −1.69630 + 1.69630i
\(324\) 8.99657 0.248493i 0.499809 0.0138052i
\(325\) −14.2577 + 8.75352i −0.790877 + 0.485558i
\(326\) 1.16939 0.675150i 0.0647668 0.0373931i
\(327\) 4.45134 10.9599i 0.246160 0.606083i
\(328\) −7.35040 −0.405858
\(329\) −14.7216 + 3.83519i −0.811626 + 0.211441i
\(330\) 0.458440 + 3.30569i 0.0252363 + 0.181972i
\(331\) 0.769457 + 2.87165i 0.0422932 + 0.157840i 0.983843 0.179034i \(-0.0572971\pi\)
−0.941550 + 0.336874i \(0.890630\pi\)
\(332\) 13.1215 + 3.51589i 0.720134 + 0.192959i
\(333\) −11.7220 + 0.161855i −0.642361 + 0.00886959i
\(334\) −0.167198 + 0.289596i −0.00914867 + 0.0158460i
\(335\) −3.99070 −0.218035
\(336\) 2.78986 3.63548i 0.152199 0.198331i
\(337\) 13.9931i 0.762255i −0.924523 0.381127i \(-0.875536\pi\)
0.924523 0.381127i \(-0.124464\pi\)
\(338\) −12.3570 + 4.03784i −0.672133 + 0.219629i
\(339\) 28.9504 + 3.60825i 1.57237 + 0.195973i
\(340\) −3.00607 0.805473i −0.163027 0.0436829i
\(341\) −15.2614 8.81117i −0.826451 0.477152i
\(342\) 6.78425 + 23.9893i 0.366850 + 1.29719i
\(343\) −0.386041 + 18.5162i −0.0208442 + 0.999783i
\(344\) −6.69715 6.69715i −0.361086 0.361086i
\(345\) 1.22808 + 0.498782i 0.0661175 + 0.0268535i
\(346\) −6.56107 + 24.4862i −0.352725 + 1.31639i
\(347\) 8.62184 4.97782i 0.462845 0.267224i −0.250395 0.968144i \(-0.580560\pi\)
0.713240 + 0.700920i \(0.247227\pi\)
\(348\) 6.55236 2.76723i 0.351243 0.148339i
\(349\) 13.9690 + 13.9690i 0.747742 + 0.747742i 0.974055 0.226313i \(-0.0726672\pi\)
−0.226313 + 0.974055i \(0.572667\pi\)
\(350\) −8.62046 8.74110i −0.460783 0.467232i
\(351\) 6.33567 17.6312i 0.338173 0.941084i
\(352\) −1.60609 + 2.78183i −0.0856049 + 0.148272i
\(353\) 3.84065 14.3335i 0.204417 0.762896i −0.785209 0.619231i \(-0.787444\pi\)
0.989626 0.143665i \(-0.0458889\pi\)
\(354\) 0.696932 5.59176i 0.0370415 0.297199i
\(355\) −6.47608 3.73897i −0.343715 0.198444i
\(356\) 8.48711 + 8.48711i 0.449816 + 0.449816i
\(357\) 9.09741 + 21.9659i 0.481486 + 1.16256i
\(358\) 2.09314 + 2.09314i 0.110626 + 0.110626i
\(359\) −3.87962 14.4789i −0.204759 0.764169i −0.989523 0.144375i \(-0.953883\pi\)
0.784764 0.619794i \(-0.212784\pi\)
\(360\) −1.25477 + 1.28991i −0.0661323 + 0.0679842i
\(361\) −43.3505 + 25.0284i −2.28161 + 1.31729i
\(362\) 0.185714 + 0.693096i 0.00976093 + 0.0364283i
\(363\) 0.712522 0.941970i 0.0373977 0.0494406i
\(364\) −4.93449 8.16399i −0.258638 0.427910i
\(365\) 3.82582i 0.200252i
\(366\) −1.27779 0.518972i −0.0667911 0.0271271i
\(367\) −6.15961 10.6688i −0.321529 0.556905i 0.659275 0.751902i \(-0.270863\pi\)
−0.980804 + 0.194998i \(0.937530\pi\)
\(368\) 0.637898 + 1.10487i 0.0332528 + 0.0575955i
\(369\) −11.2882 18.9429i −0.587641 0.986125i
\(370\) 1.65747 1.65747i 0.0861676 0.0861676i
\(371\) 2.23620 + 3.93613i 0.116098 + 0.204354i
\(372\) −1.30529 9.41213i −0.0676763 0.487996i
\(373\) −2.52756 + 4.37786i −0.130872 + 0.226677i −0.924013 0.382361i \(-0.875111\pi\)
0.793141 + 0.609038i \(0.208444\pi\)
\(374\) −8.33270 14.4327i −0.430874 0.746295i
\(375\) 6.15193 + 7.90377i 0.317684 + 0.408149i
\(376\) 4.97960 + 2.87497i 0.256803 + 0.148265i
\(377\) −0.399929 14.8009i −0.0205974 0.762287i
\(378\) 13.6535 + 1.60670i 0.702261 + 0.0826397i
\(379\) −1.20575 + 1.20575i −0.0619353 + 0.0619353i −0.737396 0.675461i \(-0.763945\pi\)
0.675461 + 0.737396i \(0.263945\pi\)
\(380\) −4.31691 2.49237i −0.221453 0.127856i
\(381\) −4.22553 0.526652i −0.216481 0.0269812i
\(382\) 14.0884 + 3.77497i 0.720824 + 0.193144i
\(383\) −17.5705 + 4.70799i −0.897808 + 0.240567i −0.678075 0.734993i \(-0.737185\pi\)
−0.219734 + 0.975560i \(0.570519\pi\)
\(384\) −1.71563 + 0.237927i −0.0875504 + 0.0121417i
\(385\) −0.0354226 + 5.09773i −0.00180530 + 0.259804i
\(386\) 20.2524i 1.03082i
\(387\) 6.97435 27.5443i 0.354526 1.40016i
\(388\) 3.32907 12.4242i 0.169008 0.630745i
\(389\) −15.4549 26.7687i −0.783595 1.35723i −0.929835 0.367977i \(-0.880051\pi\)
0.146240 0.989249i \(-0.453283\pi\)
\(390\) 1.55008 + 3.41028i 0.0784913 + 0.172686i
\(391\) −6.61908 −0.334741
\(392\) 5.01805 4.88048i 0.253450 0.246502i
\(393\) −21.9482 + 29.0160i −1.10714 + 1.46366i
\(394\) 1.10826 + 0.639857i 0.0558336 + 0.0322355i
\(395\) 0.675498 2.52099i 0.0339880 0.126845i
\(396\) −9.63562 + 0.133047i −0.484208 + 0.00668585i
\(397\) 6.56445 1.75894i 0.329461 0.0882787i −0.0902972 0.995915i \(-0.528782\pi\)
0.419758 + 0.907636i \(0.362115\pi\)
\(398\) 1.96997 1.96997i 0.0987456 0.0987456i
\(399\) 4.96892 + 37.7558i 0.248757 + 1.89016i
\(400\) 4.64019i 0.232009i
\(401\) 6.13006 + 22.8777i 0.306121 + 1.14246i 0.931976 + 0.362519i \(0.118083\pi\)
−0.625856 + 0.779939i \(0.715250\pi\)
\(402\) 1.42517 11.4347i 0.0710809 0.570310i
\(403\) −19.2377 4.60160i −0.958299 0.229222i
\(404\) −9.98503 5.76486i −0.496774 0.286813i
\(405\) −5.25124 1.25275i −0.260936 0.0622496i
\(406\) 10.5140 2.73905i 0.521799 0.135937i
\(407\) 12.5522 0.622191
\(408\) 3.38148 8.32572i 0.167408 0.412184i
\(409\) −2.45363 0.657447i −0.121324 0.0325087i 0.197646 0.980273i \(-0.436670\pi\)
−0.318970 + 0.947765i \(0.603337\pi\)
\(410\) 4.25886 + 1.14116i 0.210330 + 0.0563578i
\(411\) 3.82524 9.41833i 0.188685 0.464572i
\(412\) 0.421455 0.0207636
\(413\) 2.28554 8.29866i 0.112464 0.408350i
\(414\) −1.86775 + 3.34072i −0.0917949 + 0.164188i
\(415\) −7.05680 4.07425i −0.346405 0.199997i
\(416\) −0.838775 + 3.50663i −0.0411243 + 0.171927i
\(417\) −0.726984 + 5.83287i −0.0356005 + 0.285637i
\(418\) −6.90875 25.7838i −0.337918 1.26113i
\(419\) 3.88080i 0.189590i −0.995497 0.0947948i \(-0.969781\pi\)
0.995497 0.0947948i \(-0.0302195\pi\)
\(420\) −2.18087 + 1.67329i −0.106416 + 0.0816480i
\(421\) 0.262070 0.262070i 0.0127725 0.0127725i −0.700692 0.713464i \(-0.747125\pi\)
0.713464 + 0.700692i \(0.247125\pi\)
\(422\) −2.59481 + 0.695277i −0.126313 + 0.0338455i
\(423\) 0.238160 + 17.2482i 0.0115797 + 0.838635i
\(424\) 0.442851 1.65274i 0.0215067 0.0802642i
\(425\) −20.8488 12.0371i −1.01132 0.583884i
\(426\) 13.0261 17.2209i 0.631118 0.834353i
\(427\) −1.81709 1.06600i −0.0879352 0.0515874i
\(428\) −12.7582 −0.616690
\(429\) −7.04376 + 18.7827i −0.340076 + 0.906839i
\(430\) 2.84062 + 4.92011i 0.136987 + 0.237269i
\(431\) 3.75773 14.0240i 0.181004 0.675514i −0.814447 0.580238i \(-0.802960\pi\)
0.995451 0.0952769i \(-0.0303736\pi\)
\(432\) −3.24791 4.05599i −0.156265 0.195144i
\(433\) 9.24282i 0.444182i 0.975026 + 0.222091i \(0.0712881\pi\)
−0.975026 + 0.222091i \(0.928712\pi\)
\(434\) 0.100857 14.5145i 0.00484129 0.696719i
\(435\) −4.22609 + 0.586083i −0.202625 + 0.0281005i
\(436\) −6.59696 + 1.76765i −0.315937 + 0.0846551i
\(437\) −10.2407 2.74398i −0.489878 0.131262i
\(438\) −10.9622 1.36628i −0.523795 0.0652836i
\(439\) 5.46918 + 3.15763i 0.261030 + 0.150705i 0.624804 0.780782i \(-0.285179\pi\)
−0.363775 + 0.931487i \(0.618512\pi\)
\(440\) 1.36246 1.36246i 0.0649527 0.0649527i
\(441\) 20.2840 + 5.43703i 0.965902 + 0.258906i
\(442\) −13.5798 12.8652i −0.645925 0.611937i
\(443\) 13.0061 + 7.50906i 0.617937 + 0.356766i 0.776065 0.630652i \(-0.217213\pi\)
−0.158128 + 0.987419i \(0.550546\pi\)
\(444\) 4.15727 + 5.34111i 0.197295 + 0.253478i
\(445\) −3.59985 6.23511i −0.170649 0.295573i
\(446\) −1.54420 + 2.67463i −0.0731200 + 0.126648i
\(447\) −5.18694 37.4016i −0.245334 1.76904i
\(448\) −2.64569 0.0183841i −0.124997 0.000868566i
\(449\) 11.2960 11.2960i 0.533091 0.533091i −0.388400 0.921491i \(-0.626972\pi\)
0.921491 + 0.388400i \(0.126972\pi\)
\(450\) −11.9583 + 7.12606i −0.563720 + 0.335926i
\(451\) 11.8054 + 20.4475i 0.555894 + 0.962837i
\(452\) −8.42191 14.5872i −0.396133 0.686123i
\(453\) −18.1956 7.39013i −0.854906 0.347219i
\(454\) 21.2620i 0.997877i
\(455\) 1.59160 + 5.49635i 0.0746154 + 0.257673i
\(456\) 8.68312 11.4793i 0.406624 0.537567i
\(457\) −4.29015 16.0111i −0.200685 0.748966i −0.990722 0.135907i \(-0.956605\pi\)
0.790037 0.613059i \(-0.210061\pi\)
\(458\) −3.70807 + 2.14086i −0.173267 + 0.100036i
\(459\) 26.6494 4.07156i 1.24389 0.190044i
\(460\) −0.198069 0.739204i −0.00923501 0.0344655i
\(461\) −12.3842 12.3842i −0.576788 0.576788i 0.357229 0.934017i \(-0.383722\pi\)
−0.934017 + 0.357229i \(0.883722\pi\)
\(462\) −14.5940 1.92201i −0.678976 0.0894200i
\(463\) 15.3743 + 15.3743i 0.714503 + 0.714503i 0.967474 0.252971i \(-0.0814076\pi\)
−0.252971 + 0.967474i \(0.581408\pi\)
\(464\) −3.55637 2.05327i −0.165100 0.0953206i
\(465\) −0.704950 + 5.65608i −0.0326913 + 0.262295i
\(466\) 3.72023 13.8841i 0.172336 0.643168i
\(467\) 2.94747 5.10517i 0.136393 0.236239i −0.789736 0.613447i \(-0.789782\pi\)
0.926129 + 0.377208i \(0.123116\pi\)
\(468\) −10.3251 + 3.22361i −0.477279 + 0.149011i
\(469\) 4.67374 16.9701i 0.215813 0.783605i
\(470\) −2.43886 2.43886i −0.112496 0.112496i
\(471\) 38.0875 16.0853i 1.75498 0.741170i
\(472\) −2.81751 + 1.62669i −0.129686 + 0.0748745i
\(473\) −7.87410 + 29.3865i −0.362052 + 1.35119i
\(474\) 6.98224 + 2.83583i 0.320705 + 0.130254i
\(475\) −27.2662 27.2662i −1.25106 1.25106i
\(476\) 6.94577 11.8397i 0.318359 0.542670i
\(477\) 4.93941 1.39688i 0.226160 0.0639588i
\(478\) 8.66038 + 5.00007i 0.396117 + 0.228698i
\(479\) 17.4615 + 4.67881i 0.797838 + 0.213780i 0.634635 0.772812i \(-0.281151\pi\)
0.163204 + 0.986592i \(0.447817\pi\)
\(480\) 1.03098 + 0.128497i 0.0470578 + 0.00586508i
\(481\) 13.5059 4.01287i 0.615814 0.182971i
\(482\) 8.27064i 0.376717i
\(483\) −3.55929 + 4.63813i −0.161953 + 0.211042i
\(484\) −0.681908 −0.0309958
\(485\) −3.85776 + 6.68183i −0.175172 + 0.303406i
\(486\) 5.46488 14.5991i 0.247892 0.662231i
\(487\) −37.4584 10.0369i −1.69740 0.454817i −0.725118 0.688624i \(-0.758215\pi\)
−0.972283 + 0.233807i \(0.924882\pi\)
\(488\) 0.206086 + 0.769125i 0.00932909 + 0.0348167i
\(489\) −0.321273 2.31662i −0.0145285 0.104761i
\(490\) −3.66519 + 2.04872i −0.165576 + 0.0925517i
\(491\) 9.27442 0.418549 0.209274 0.977857i \(-0.432890\pi\)
0.209274 + 0.977857i \(0.432890\pi\)
\(492\) −4.79073 + 11.7955i −0.215983 + 0.531783i
\(493\) 18.4511 10.6528i 0.830996 0.479776i
\(494\) −15.6766 25.5340i −0.705322 1.14883i
\(495\) 5.60358 + 1.41885i 0.251862 + 0.0637727i
\(496\) −3.87926 + 3.87926i −0.174184 + 0.174184i
\(497\) 23.4841 23.1600i 1.05341 1.03887i
\(498\) 14.1942 18.7651i 0.636057 0.840882i
\(499\) −9.84950 36.7588i −0.440924 1.64555i −0.726479 0.687189i \(-0.758845\pi\)
0.285555 0.958362i \(-0.407822\pi\)
\(500\) 1.49665 5.58558i 0.0669322 0.249795i
\(501\) 0.355753 + 0.457058i 0.0158939 + 0.0204199i
\(502\) 24.6201 6.59693i 1.09885 0.294435i
\(503\) 13.4961i 0.601763i 0.953662 + 0.300882i \(0.0972809\pi\)
−0.953662 + 0.300882i \(0.902719\pi\)
\(504\) −4.01568 6.84648i −0.178872 0.304967i
\(505\) 4.89038 + 4.89038i 0.217619 + 0.217619i
\(506\) 2.04904 3.54905i 0.0910911 0.157774i
\(507\) −1.57417 + 22.4616i −0.0699113 + 0.997553i
\(508\) 1.22924 + 2.12911i 0.0545389 + 0.0944641i
\(509\) 40.8332 10.9412i 1.80990 0.484961i 0.814449 0.580235i \(-0.197039\pi\)
0.995451 + 0.0952733i \(0.0303725\pi\)
\(510\) −3.25182 + 4.29899i −0.143993 + 0.190362i
\(511\) −16.2689 4.48063i −0.719694 0.198211i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 42.9184 + 4.74838i 1.89489 + 0.209646i
\(514\) 3.36595 12.5619i 0.148466 0.554082i
\(515\) −0.244193 0.0654313i −0.0107604 0.00288325i
\(516\) −15.1122 + 6.38225i −0.665276 + 0.280963i
\(517\) 18.4698i 0.812303i
\(518\) 5.10706 + 8.98937i 0.224391 + 0.394970i
\(519\) 35.0179 + 26.4881i 1.53711 + 1.16270i
\(520\) 1.03040 1.90154i 0.0451860 0.0833880i
\(521\) −23.0923 + 13.3323i −1.01169 + 0.584099i −0.911686 0.410888i \(-0.865219\pi\)
−0.100004 + 0.994987i \(0.531886\pi\)
\(522\) −0.170091 12.3184i −0.00744467 0.539164i
\(523\) −9.51589 + 16.4820i −0.416101 + 0.720708i −0.995543 0.0943055i \(-0.969937\pi\)
0.579443 + 0.815013i \(0.303270\pi\)
\(524\) 21.0052 0.917616
\(525\) −19.6457 + 8.13650i −0.857411 + 0.355106i
\(526\) −6.09598 + 6.09598i −0.265797 + 0.265797i
\(527\) −7.36675 27.4931i −0.320901 1.19762i
\(528\) 3.41733 + 4.39046i 0.148720 + 0.191070i
\(529\) 10.6862 + 18.5090i 0.464616 + 0.804739i
\(530\) −0.513180 + 0.888854i −0.0222911 + 0.0386094i
\(531\) −8.51910 4.76291i −0.369698 0.206693i
\(532\) 15.6543 15.4383i 0.678701 0.669334i
\(533\) 19.2393 + 18.2269i 0.833345 + 0.789495i
\(534\) 19.1512 8.08805i 0.828755 0.350004i
\(535\) 7.39216 + 1.98072i 0.319591 + 0.0856341i
\(536\) −5.76157 + 3.32645i −0.248862 + 0.143681i
\(537\) 4.72318 1.99472i 0.203820 0.0860784i
\(538\) 16.2436 16.2436i 0.700313 0.700313i
\(539\) −21.6361 6.12087i −0.931933 0.263645i
\(540\) 1.25216 + 2.85431i 0.0538843 + 0.122830i
\(541\) −43.3634 + 11.6192i −1.86434 + 0.499547i −0.999994 0.00335721i \(-0.998931\pi\)
−0.864342 + 0.502905i \(0.832265\pi\)
\(542\) −17.2162 + 9.93975i −0.739497 + 0.426949i
\(543\) 1.23328 + 0.153711i 0.0529252 + 0.00659637i
\(544\) −5.01141 + 1.34280i −0.214862 + 0.0575722i
\(545\) 4.09674 0.175485
\(546\) −16.3172 + 2.59759i −0.698314 + 0.111167i
\(547\) −10.8785 −0.465131 −0.232566 0.972581i \(-0.574712\pi\)
−0.232566 + 0.972581i \(0.574712\pi\)
\(548\) −5.66907 + 1.51902i −0.242171 + 0.0648895i
\(549\) −1.66563 + 1.71228i −0.0710875 + 0.0730781i
\(550\) 12.9082 7.45255i 0.550408 0.317778i
\(551\) 32.9627 8.83234i 1.40426 0.376270i
\(552\) 2.18880 0.303547i 0.0931614 0.0129198i
\(553\) 9.92915 + 5.82496i 0.422231 + 0.247703i
\(554\) −10.5652 + 10.5652i −0.448872 + 0.448872i
\(555\) −1.57953 3.74009i −0.0670474 0.158758i
\(556\) 2.93900 1.69683i 0.124641 0.0719617i
\(557\) 36.3533 + 9.74083i 1.54034 + 0.412732i 0.926375 0.376603i \(-0.122908\pi\)
0.613963 + 0.789335i \(0.289574\pi\)
\(558\) −15.9548 4.03983i −0.675420 0.171020i
\(559\) 0.922384 + 34.1364i 0.0390127 + 1.44382i
\(560\) 1.53007 + 0.421398i 0.0646573 + 0.0178073i
\(561\) −28.5917 + 3.96515i −1.20714 + 0.167409i
\(562\) 0.595922 1.03217i 0.0251375 0.0435393i
\(563\) −6.20164 10.7416i −0.261368 0.452703i 0.705238 0.708971i \(-0.250840\pi\)
−0.966606 + 0.256268i \(0.917507\pi\)
\(564\) 7.85912 6.11717i 0.330929 0.257579i
\(565\) 2.61502 + 9.75940i 0.110015 + 0.410581i
\(566\) −3.56412 + 3.56412i −0.149811 + 0.149811i
\(567\) 11.4772 20.8632i 0.481998 0.876172i
\(568\) −12.4665 −0.523081
\(569\) 13.3186 23.0685i 0.558344 0.967081i −0.439291 0.898345i \(-0.644770\pi\)
0.997635 0.0687356i \(-0.0218965\pi\)
\(570\) −6.81322 + 5.30309i −0.285374 + 0.222122i
\(571\) −38.6796 + 22.3317i −1.61869 + 0.934552i −0.631432 + 0.775431i \(0.717533\pi\)
−0.987259 + 0.159121i \(0.949134\pi\)
\(572\) 11.1020 3.29863i 0.464198 0.137923i
\(573\) 15.2402 20.1478i 0.636667 0.841688i
\(574\) −9.84045 + 16.7739i −0.410733 + 0.700129i
\(575\) 5.91994i 0.246878i
\(576\) −0.736375 + 2.90822i −0.0306823 + 0.121176i
\(577\) 10.4543 + 2.80122i 0.435218 + 0.116616i 0.469775 0.882786i \(-0.344335\pi\)
−0.0345564 + 0.999403i \(0.511002\pi\)
\(578\) 2.56679 9.57939i 0.106764 0.398450i
\(579\) 32.4998 + 13.1998i 1.35065 + 0.548563i
\(580\) 1.74181 + 1.74181i 0.0723245 + 0.0723245i
\(581\) 25.5899 25.2368i 1.06165 1.04700i
\(582\) −17.7680 13.4400i −0.736506 0.557105i
\(583\) −5.30890 + 1.42252i −0.219872 + 0.0589146i
\(584\) 3.18901 + 5.52352i 0.131962 + 0.228565i
\(585\) 6.48291 0.264785i 0.268035 0.0109475i
\(586\) 3.36646 5.83089i 0.139067 0.240872i
\(587\) 9.59239 + 9.59239i 0.395920 + 0.395920i 0.876791 0.480871i \(-0.159679\pi\)
−0.480871 + 0.876791i \(0.659679\pi\)
\(588\) −4.56134 11.2336i −0.188106 0.463267i
\(589\) 45.5897i 1.87849i
\(590\) 1.88503 0.505091i 0.0776053 0.0207943i
\(591\) 1.74913 1.36144i 0.0719498 0.0560024i
\(592\) 1.01139 3.77455i 0.0415678 0.155133i
\(593\) 5.39354 + 20.1290i 0.221486 + 0.826598i 0.983782 + 0.179369i \(0.0574056\pi\)
−0.762295 + 0.647229i \(0.775928\pi\)
\(594\) −6.06665 + 15.5494i −0.248918 + 0.638000i
\(595\) −5.86254 + 5.78162i −0.240341 + 0.237023i
\(596\) −15.4153 + 15.4153i −0.631435 + 0.631435i
\(597\) −1.87734 4.44525i −0.0768344 0.181932i
\(598\) 1.07011 4.47375i 0.0437599 0.182945i
\(599\) −20.0588 + 11.5809i −0.819579 + 0.473184i −0.850271 0.526345i \(-0.823562\pi\)
0.0306925 + 0.999529i \(0.490229\pi\)
\(600\) 7.44631 + 3.02431i 0.303994 + 0.123467i
\(601\) −4.85103 −0.197877 −0.0989387 0.995094i \(-0.531545\pi\)
−0.0989387 + 0.995094i \(0.531545\pi\)
\(602\) −24.2491 + 6.31726i −0.988319 + 0.257472i
\(603\) −17.4209 9.73975i −0.709432 0.396633i
\(604\) 2.93466 + 10.9523i 0.119410 + 0.445643i
\(605\) 0.395101 + 0.105867i 0.0160631 + 0.00430411i
\(606\) −15.7590 + 12.2661i −0.640166 + 0.498276i
\(607\) −17.4499 + 30.2241i −0.708268 + 1.22676i 0.257231 + 0.966350i \(0.417190\pi\)
−0.965499 + 0.260407i \(0.916143\pi\)
\(608\) −8.31005 −0.337017
\(609\) 2.45715 18.6574i 0.0995688 0.756037i
\(610\) 0.477630i 0.0193387i
\(611\) −5.90470 19.8731i −0.238879 0.803978i
\(612\) −11.1567 10.8528i −0.450984 0.438699i
\(613\) 18.8091 + 5.03987i 0.759691 + 0.203559i 0.617812 0.786325i \(-0.288019\pi\)
0.141879 + 0.989884i \(0.454686\pi\)
\(614\) 21.2516 + 12.2696i 0.857646 + 0.495162i
\(615\) 4.60704 6.09061i 0.185774 0.245597i
\(616\) 4.19807 + 7.38937i 0.169145 + 0.297726i
\(617\) −7.75021 7.75021i −0.312012 0.312012i 0.533677 0.845688i \(-0.320810\pi\)
−0.845688 + 0.533677i \(0.820810\pi\)
\(618\) 0.274689 0.676327i 0.0110496 0.0272059i
\(619\) −10.8113 + 40.3484i −0.434544 + 1.62174i 0.307612 + 0.951512i \(0.400470\pi\)
−0.742156 + 0.670228i \(0.766196\pi\)
\(620\) 2.84992 1.64540i 0.114456 0.0660810i
\(621\) 4.14367 + 5.17462i 0.166280 + 0.207651i
\(622\) −17.2521 17.2521i −0.691744 0.691744i
\(623\) 30.7302 8.00569i 1.23118 0.320741i
\(624\) 5.08056 + 3.63152i 0.203385 + 0.145377i
\(625\) 9.86613 17.0886i 0.394645 0.683546i
\(626\) −6.68687 + 24.9557i −0.267261 + 0.997432i
\(627\) −45.8793 5.71819i −1.83224 0.228363i
\(628\) −20.6724 11.9352i −0.824918 0.476267i
\(629\) 14.3358 + 14.3358i 0.571606 + 0.571606i
\(630\) 1.26378 + 4.59033i 0.0503502 + 0.182883i
\(631\) −2.77766 2.77766i −0.110577 0.110577i 0.649653 0.760230i \(-0.274914\pi\)
−0.760230 + 0.649653i \(0.774914\pi\)
\(632\) −1.12612 4.20274i −0.0447947 0.167176i
\(633\) −0.575463 + 4.61716i −0.0228726 + 0.183516i
\(634\) 12.7499 7.36115i 0.506363 0.292349i
\(635\) −0.381683 1.42446i −0.0151466 0.0565280i
\(636\) −2.36359 1.78786i −0.0937225 0.0708933i
\(637\) −25.2367 + 0.331043i −0.999914 + 0.0131164i
\(638\) 13.1909i 0.522234i
\(639\) −19.1451 32.1275i −0.757368 1.27095i
\(640\) −0.299922 0.519481i −0.0118555 0.0205343i
\(641\) −8.54841 14.8063i −0.337642 0.584813i 0.646347 0.763044i \(-0.276296\pi\)
−0.983989 + 0.178231i \(0.942963\pi\)
\(642\) −8.31533 + 20.4736i −0.328180 + 0.808029i
\(643\) 15.2523 15.2523i 0.601493 0.601493i −0.339215 0.940709i \(-0.610162\pi\)
0.940709 + 0.339215i \(0.110162\pi\)
\(644\) 3.37536 + 0.0234544i 0.133008 + 0.000924231i
\(645\) 9.74693 1.35172i 0.383785 0.0532241i
\(646\) 21.5570 37.3379i 0.848151 1.46904i
\(647\) 6.39763 + 11.0810i 0.251517 + 0.435640i 0.963944 0.266106i \(-0.0857373\pi\)
−0.712427 + 0.701746i \(0.752404\pi\)
\(648\) −8.62570 + 2.56851i −0.338850 + 0.100901i
\(649\) 9.05035 + 5.22522i 0.355257 + 0.205108i
\(650\) 11.5063 12.1454i 0.451316 0.476383i
\(651\) −23.2263 9.62189i −0.910312 0.377112i
\(652\) −0.954807 + 0.954807i −0.0373931 + 0.0373931i
\(653\) 9.47898 + 5.47269i 0.370941 + 0.214163i 0.673870 0.738850i \(-0.264631\pi\)
−0.302928 + 0.953013i \(0.597964\pi\)
\(654\) −1.46304 + 11.7385i −0.0572093 + 0.459013i
\(655\) −12.1705 3.26108i −0.475541 0.127421i
\(656\) 7.09994 1.90242i 0.277206 0.0742771i
\(657\) −9.33733 + 16.7011i −0.364284 + 0.651571i
\(658\) 13.2273 7.51473i 0.515654 0.292955i
\(659\) 19.1808i 0.747177i 0.927595 + 0.373588i \(0.121873\pi\)
−0.927595 + 0.373588i \(0.878127\pi\)
\(660\) −1.29840 3.07440i −0.0505400 0.119671i
\(661\) −0.274549 + 1.02463i −0.0106787 + 0.0398535i −0.971060 0.238837i \(-0.923234\pi\)
0.960381 + 0.278691i \(0.0899004\pi\)
\(662\) −1.48648 2.57465i −0.0577735 0.100067i
\(663\) −29.4962 + 13.4070i −1.14554 + 0.520684i
\(664\) −13.5843 −0.527175
\(665\) −11.4670 + 6.51466i −0.444672 + 0.252628i
\(666\) 11.2807 3.19021i 0.437117 0.123618i
\(667\) 4.53720 + 2.61955i 0.175681 + 0.101430i
\(668\) 0.0865481 0.323002i 0.00334865 0.0124973i
\(669\) 3.28565 + 4.22128i 0.127031 + 0.163204i
\(670\) 3.85472 1.03287i 0.148921 0.0399032i
\(671\) 1.80858 1.80858i 0.0698195 0.0698195i
\(672\) −1.75387 + 4.23367i −0.0676569 + 0.163317i
\(673\) 20.6567i 0.796258i 0.917329 + 0.398129i \(0.130340\pi\)
−0.917329 + 0.398129i \(0.869660\pi\)
\(674\) 3.62169 + 13.5163i 0.139502 + 0.520630i
\(675\) 3.64150 + 23.8345i 0.140161 + 0.917392i
\(676\) 10.8909 7.09848i 0.418880 0.273019i
\(677\) 16.6890 + 9.63538i 0.641409 + 0.370318i 0.785157 0.619297i \(-0.212582\pi\)
−0.143748 + 0.989614i \(0.545916\pi\)
\(678\) −28.8978 + 4.00761i −1.10981 + 0.153911i
\(679\) −23.8958 24.2302i −0.917036 0.929870i
\(680\) 3.11211 0.119344
\(681\) 34.1201 + 13.8578i 1.30749 + 0.531033i
\(682\) 17.0219 + 4.56100i 0.651801 + 0.174650i
\(683\) 23.0006 + 6.16299i 0.880093 + 0.235820i 0.670447 0.741957i \(-0.266102\pi\)
0.209646 + 0.977777i \(0.432769\pi\)
\(684\) −12.7620 21.4160i −0.487966 0.818860i
\(685\) 3.52052 0.134512
\(686\) −4.41947 17.9852i −0.168736 0.686679i
\(687\) 1.01874 + 7.34585i 0.0388673 + 0.280261i
\(688\) 8.20230 + 4.73560i 0.312710 + 0.180543i
\(689\) −5.25746 + 3.22781i −0.200293 + 0.122970i
\(690\) −1.31533 0.163937i −0.0500736 0.00624096i
\(691\) 1.29565 + 4.83543i 0.0492888 + 0.183948i 0.986181 0.165669i \(-0.0529783\pi\)
−0.936893 + 0.349617i \(0.886312\pi\)
\(692\) 25.3500i 0.963663i
\(693\) −12.5962 + 22.1670i −0.478490 + 0.842054i
\(694\) −7.03971 + 7.03971i −0.267224 + 0.267224i
\(695\) −1.96631 + 0.526871i −0.0745863 + 0.0199853i
\(696\) −5.61289 + 4.36881i −0.212756 + 0.165599i
\(697\) −9.87013 + 36.8358i −0.373858 + 1.39526i
\(698\) −17.1084 9.87755i −0.647563 0.373871i
\(699\) −19.8557 15.0192i −0.751012 0.568078i
\(700\) 10.5891 + 6.21212i 0.400230 + 0.234796i
\(701\) −12.9949 −0.490810 −0.245405 0.969421i \(-0.578921\pi\)
−0.245405 + 0.969421i \(0.578921\pi\)
\(702\) −1.55649 + 18.6702i −0.0587461 + 0.704662i
\(703\) 16.2366 + 28.1226i 0.612374 + 1.06066i
\(704\) 0.831373 3.10273i 0.0313336 0.116938i
\(705\) −5.50331 + 2.32419i −0.207267 + 0.0875339i
\(706\) 14.8391i 0.558479i
\(707\) −26.5233 + 15.0685i −0.997510 + 0.566708i
\(708\) 0.774068 + 5.58160i 0.0290913 + 0.209769i
\(709\) 42.1942 11.3059i 1.58464 0.424602i 0.644280 0.764789i \(-0.277157\pi\)
0.940358 + 0.340187i \(0.110490\pi\)
\(710\) 7.22313 + 1.93543i 0.271079 + 0.0726355i
\(711\) 9.10155 9.35641i 0.341335 0.350893i
\(712\) −10.3946 6.00130i −0.389552 0.224908i
\(713\) 4.94915 4.94915i 0.185347 0.185347i
\(714\) −14.4726 18.8628i −0.541624 0.705924i
\(715\) −6.94467 + 0.187648i −0.259716 + 0.00701766i
\(716\) −2.56356 1.48007i −0.0958047 0.0553129i
\(717\) 13.6684 10.6388i 0.510454 0.397314i
\(718\) 7.49485 + 12.9815i 0.279705 + 0.484464i
\(719\) −15.7316 + 27.2479i −0.586690 + 1.01618i 0.407973 + 0.912994i \(0.366236\pi\)
−0.994662 + 0.103182i \(0.967098\pi\)
\(720\) 0.878164 1.57072i 0.0327273 0.0585371i
\(721\) 0.564229 0.961777i 0.0210130 0.0358184i
\(722\) 35.3955 35.3955i 1.31729 1.31729i
\(723\) 13.2723 + 5.39051i 0.493601 + 0.200475i
\(724\) −0.358773 0.621412i −0.0133337 0.0230946i
\(725\) 9.52755 + 16.5022i 0.353844 + 0.612877i
\(726\) −0.444443 + 1.09429i −0.0164948 + 0.0406128i
\(727\) 42.0789i 1.56062i 0.625393 + 0.780310i \(0.284939\pi\)
−0.625393 + 0.780310i \(0.715061\pi\)
\(728\) 6.87935 + 6.60867i 0.254966 + 0.244934i
\(729\) −19.8661 18.2849i −0.735781 0.677220i
\(730\) −0.990194 3.69545i −0.0366487 0.136775i
\(731\) −42.5551 + 24.5692i −1.57396 + 0.908724i
\(732\) 1.36857 + 0.170572i 0.0505837 + 0.00630454i
\(733\) 5.35665 + 19.9913i 0.197852 + 0.738395i 0.991510 + 0.130030i \(0.0415075\pi\)
−0.793658 + 0.608365i \(0.791826\pi\)
\(734\) 8.71100 + 8.71100i 0.321529 + 0.321529i
\(735\) 0.898831 + 7.21697i 0.0331539 + 0.266202i
\(736\) −0.902125 0.902125i −0.0332528 0.0332528i
\(737\) 18.5072 + 10.6851i 0.681722 + 0.393592i
\(738\) 15.8063 + 15.3758i 0.581839 + 0.565990i
\(739\) 9.97235 37.2173i 0.366839 1.36906i −0.498072 0.867136i \(-0.665959\pi\)
0.864911 0.501925i \(-0.167375\pi\)
\(740\) −1.17201 + 2.02997i −0.0430838 + 0.0746233i
\(741\) −51.1929 + 8.51471i −1.88062 + 0.312796i
\(742\) −3.17875 3.22323i −0.116696 0.118329i
\(743\) −1.60617 1.60617i −0.0589248 0.0589248i 0.677030 0.735955i \(-0.263267\pi\)
−0.735955 + 0.677030i \(0.763267\pi\)
\(744\) 3.69685 + 8.75358i 0.135533 + 0.320922i
\(745\) 11.3249 6.53846i 0.414914 0.239551i
\(746\) 1.30836 4.88287i 0.0479025 0.178775i
\(747\) −20.8618 35.0085i −0.763295 1.28089i
\(748\) 11.7842 + 11.7842i 0.430874 + 0.430874i
\(749\) −17.0802 + 29.1147i −0.624097 + 1.06383i
\(750\) −7.98796 6.04222i −0.291679 0.220631i
\(751\) 1.80427 + 1.04170i 0.0658387 + 0.0380120i 0.532558 0.846394i \(-0.321231\pi\)
−0.466719 + 0.884406i \(0.654564\pi\)
\(752\) −5.55402 1.48819i −0.202534 0.0542689i
\(753\) 5.46011 43.8086i 0.198977 1.59647i
\(754\) 4.21707 + 14.1931i 0.153576 + 0.516882i
\(755\) 6.80143i 0.247529i
\(756\) −13.6041 + 1.98184i −0.494777 + 0.0720787i
\(757\) −10.9645 −0.398510 −0.199255 0.979948i \(-0.563852\pi\)
−0.199255 + 0.979948i \(0.563852\pi\)
\(758\) 0.852595 1.47674i 0.0309676 0.0536375i
\(759\) −4.35982 5.60133i −0.158251 0.203316i
\(760\) 4.81488 + 1.29014i 0.174654 + 0.0467985i
\(761\) −5.57308 20.7990i −0.202024 0.753964i −0.990336 0.138688i \(-0.955711\pi\)
0.788312 0.615276i \(-0.210955\pi\)
\(762\) 4.21786 0.584941i 0.152797 0.0211902i
\(763\) −4.79793 + 17.4210i −0.173697 + 0.630683i
\(764\) −14.5854 −0.527680
\(765\) 4.77935 + 8.02027i 0.172798 + 0.289974i
\(766\) 15.7532 9.09514i 0.569188 0.328621i
\(767\) 11.4084 + 2.72885i 0.411934 + 0.0985332i
\(768\) 1.59559 0.673858i 0.0575760 0.0243158i
\(769\) 15.9582 15.9582i 0.575466 0.575466i −0.358185 0.933651i \(-0.616604\pi\)
0.933651 + 0.358185i \(0.116604\pi\)
\(770\) −1.28517 4.93320i −0.0463145 0.177780i
\(771\) −17.9648 13.5889i −0.646988 0.489392i
\(772\) −5.24169 19.5623i −0.188653 0.704061i
\(773\) −7.23162 + 26.9888i −0.260103 + 0.970719i 0.705076 + 0.709131i \(0.250913\pi\)
−0.965180 + 0.261588i \(0.915754\pi\)