Properties

Label 546.2.bv.a.515.9
Level $546$
Weight $2$
Character 546.515
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 515.9
Character \(\chi\) \(=\) 546.515
Dual form 546.2.bv.a.317.9

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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 0.126921 0.991913i \(-0.459490\pi\)
−0.386039 + 0.922482i \(0.626157\pi\)
\(6\) −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 0.241306 0.970449i \(-0.422424\pi\)
0.694201 + 0.719781i \(0.255758\pi\)
\(12\) 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 −0.358560 0.933507i \(-0.616732\pi\)
0.987721 0.156231i \(-0.0499345\pi\)
\(18\) 2.99971 + 0.0414195i 0.707039 + 0.00976267i
\(19\) 2.15080 8.02689i 0.493427 1.84149i −0.0452411 0.998976i \(-0.514406\pi\)
0.538668 0.842518i \(-0.318928\pi\)
\(20\) −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 0.791825 0.610748i \(-0.209131\pi\)
−0.924836 + 0.380366i \(0.875798\pi\)
\(24\) −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 \(0.124517\pi\)
−0.924459 + 0.381283i \(0.875483\pi\)
\(30\) 0.404210 0.957107i 0.0737984 0.174743i
\(31\) −5.29917 + 1.41991i −0.951758 + 0.255023i −0.701108 0.713055i \(-0.747311\pi\)
−0.250650 + 0.968078i \(0.580644\pi\)
\(32\) −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 0.555370 0.831604i \(-0.312577\pi\)
0.0651624 + 0.997875i \(0.479243\pi\)
\(38\) −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 −0.173175 0.984891i \(-0.555403\pi\)
0.984891 + 0.173175i \(0.0554027\pi\)
\(42\) −4.54340 0.597941i −0.701062 0.0922643i
\(43\) 9.47120i 1.44434i −0.691713 0.722172i \(-0.743144\pi\)
0.691713 0.722172i \(-0.256856\pi\)
\(44\) 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 0.768350 + 0.640030i \(0.221078\pi\)
−0.985426 + 0.170107i \(0.945589\pi\)
\(48\) 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 0.394765 0.918782i \(-0.370826\pi\)
−0.598306 + 0.801267i \(0.704159\pi\)
\(54\) −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 −0.0483876 0.998829i \(-0.515408\pi\)
0.457509 + 0.889205i \(0.348742\pi\)
\(60\) −0.638155 + 0.819878i −0.0823854 + 0.105846i
\(61\) 0.398128 + 0.689579i 0.0509751 + 0.0882915i 0.890387 0.455204i \(-0.150434\pi\)
−0.839412 + 0.543496i \(0.817100\pi\)
\(62\) 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 0.156060 0.987748i \(-0.450121\pi\)
0.629026 + 0.777385i \(0.283454\pi\)
\(68\) 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 0.0472805 0.998882i \(-0.484945\pi\)
0.998882 0.0472805i \(-0.0150554\pi\)
\(72\) 2.57712 + 1.53573i 0.303716 + 0.180987i
\(73\) 1.65075 + 6.16069i 0.193206 + 0.721054i 0.992724 + 0.120412i \(0.0384216\pi\)
−0.799518 + 0.600642i \(0.794912\pi\)
\(74\) −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 0.717302 0.696762i \(-0.245377\pi\)
−0.962065 + 0.272821i \(0.912043\pi\)
\(80\) −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 0.0559134 0.998436i \(-0.482193\pi\)
0.998436 0.0559134i \(-0.0178071\pi\)
\(84\) 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 −0.580642 0.814159i \(-0.697198\pi\)
0.909930 0.414762i \(-0.136135\pi\)
\(90\) −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 0.997273 0.0737979i \(-0.0235120\pi\)
−0.0737979 + 0.997273i \(0.523512\pi\)
\(98\) 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 0.422564 + 0.906333i \(0.361130\pi\)
−0.996190 + 0.0872149i \(0.972203\pi\)
\(102\) 7.09130 + 5.51954i 0.702144 + 0.546516i
\(103\) 0.364990 0.210727i 0.0359636 0.0207636i −0.481910 0.876220i \(-0.660057\pi\)
0.517874 + 0.855457i \(0.326724\pi\)
\(104\) −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 −0.927672 0.373396i \(-0.878193\pi\)
−0.140466 + 0.990086i \(0.544860\pi\)
\(108\) −0.784775 + 5.13655i −0.0755150 + 0.494265i
\(109\) −6.59696 + 1.76765i −0.631874 + 0.169310i −0.560520 0.828141i \(-0.689399\pi\)
−0.0713542 + 0.997451i \(0.522732\pi\)
\(110\) 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 \(0.291099\pi\)
−0.610175 + 0.792267i \(0.708901\pi\)
\(114\) 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 \(-0.965210\pi\)
0.994033 0.109078i \(-0.0347897\pi\)
\(128\) 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 0.595944 0.803026i \(-0.296778\pi\)
0.993413 0.114590i \(-0.0365554\pi\)
\(132\) 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 −0.492723 0.870186i \(-0.663999\pi\)
0.00838191 + 0.999965i \(0.497332\pi\)
\(138\) 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 −0.746065 0.665873i \(-0.768059\pi\)
−0.979048 + 0.203631i \(0.934726\pi\)
\(150\) 4.93654 6.34228i 0.403067 0.517845i
\(151\) −2.93466 10.9523i −0.238819 0.891286i −0.976390 0.216016i \(-0.930694\pi\)
0.737571 0.675270i \(-0.235973\pi\)
\(152\) −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 −0.212619 + 0.977135i \(0.568199\pi\)
−0.739915 + 0.672701i \(0.765134\pi\)
\(158\) 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 0.207377 0.978261i \(-0.433507\pi\)
−0.309537 + 0.950887i \(0.600174\pi\)
\(164\) 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 0.716196 0.697899i \(-0.245882\pi\)
−0.697899 + 0.716196i \(0.745882\pi\)
\(168\) −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 0.713166 + 0.700996i \(0.247261\pi\)
0.250497 + 0.968117i \(0.419406\pi\)
\(174\) −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 −0.916023 0.401126i \(-0.868619\pi\)
0.805397 + 0.592736i \(0.201952\pi\)
\(180\) 1.54587 + 0.921198i 0.115222 + 0.0686620i
\(181\) 0.717545i 0.0533347i 0.999644 + 0.0266674i \(0.00848949\pi\)
−0.999644 + 0.0266674i \(0.991511\pi\)
\(182\) 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 −0.881706 0.471800i \(-0.843605\pi\)
−0.0322624 + 0.999479i \(0.510271\pi\)
\(192\) 1.71875 0.214218i 0.124040 0.0154598i
\(193\) 5.24169 + 19.5623i 0.377305 + 1.40812i 0.849947 + 0.526868i \(0.176634\pi\)
−0.472642 + 0.881255i \(0.656699\pi\)
\(194\) −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 −0.738607 0.674136i \(-0.764516\pi\)
0.674136 + 0.738607i \(0.264516\pi\)
\(198\) 9.34173 2.36537i 0.663888 0.168099i
\(199\) −2.41271 1.39298i −0.171032 0.0987456i 0.412040 0.911166i \(-0.364816\pi\)
−0.583073 + 0.812420i \(0.698150\pi\)
\(200\) 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 0.776436 0.630196i \(-0.217025\pi\)
−0.630196 + 0.776436i \(0.717025\pi\)
\(224\) 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 0.867084 + 0.498162i \(0.165991\pi\)
−0.501836 + 0.864963i \(0.667342\pi\)
\(228\) −11.3583 8.84078i −0.752222 0.585495i
\(229\) 4.13582 + 1.10819i 0.273303 + 0.0732312i 0.392867 0.919595i \(-0.371483\pi\)
−0.119565 + 0.992826i \(0.538150\pi\)
\(230\) 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 0.528612 0.848864i \(-0.322713\pi\)
−0.999443 + 0.0333591i \(0.989379\pi\)
\(234\) 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 −0.897800 0.440404i \(-0.854835\pi\)
0.440404 + 0.897800i \(0.354835\pi\)
\(240\) −0.962597 + 0.390957i −0.0621354 + 0.0252362i
\(241\) 2.14060 + 7.98882i 0.137888 + 0.514605i 0.999969 + 0.00783522i \(0.00249405\pi\)
−0.862081 + 0.506770i \(0.830839\pi\)
\(242\) 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 0.588777 0.808296i \(-0.299610\pi\)
−0.994393 + 0.105748i \(0.966276\pi\)
\(258\) 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 0.712202 0.701975i \(-0.247698\pi\)
−0.251827 + 0.967772i \(0.581031\pi\)
\(264\) −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 −0.249571 0.968357i \(-0.580290\pi\)
−0.963407 + 0.268044i \(0.913623\pi\)
\(270\) −0.470743 + 3.08113i −0.0286485 + 0.187512i
\(271\) 19.2021 + 5.14519i 1.16645 + 0.312548i 0.789538 0.613702i \(-0.210320\pi\)
0.376909 + 0.926250i \(0.376987\pi\)
\(272\) 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 0.835533 0.549440i \(-0.185159\pi\)
−0.0580630 + 0.998313i \(0.518492\pi\)
\(278\) −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 0.681522 0.731797i \(-0.261318\pi\)
−0.731797 + 0.681522i \(0.761318\pi\)
\(282\) −9.17456 3.87465i −0.546337 0.230732i
\(283\) 4.36513 + 2.52021i 0.259480 + 0.149811i 0.624097 0.781346i \(-0.285467\pi\)
−0.364617 + 0.931158i \(0.618800\pi\)
\(284\) 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 0.554229 0.832364i \(-0.313013\pi\)
−0.832364 + 0.554229i \(0.813013\pi\)
\(294\) 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 −0.999954 0.00962922i \(-0.996935\pi\)
0.00962922 + 0.999954i \(0.496935\pi\)
\(308\) −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 −0.279521 0.960139i \(-0.590176\pi\)
0.971266 0.237997i \(-0.0764909\pi\)
\(312\) −3.96754 + 4.82272i −0.224618 + 0.273033i
\(313\) 12.9180 + 22.3747i 0.730171 + 1.26469i 0.956810 + 0.290714i \(0.0938930\pi\)
−0.226639 + 0.973979i \(0.572774\pi\)
\(314\) 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 −0.163693 0.986511i \(-0.552341\pi\)
−0.635018 + 0.772497i \(0.719007\pi\)
\(318\) 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 −0.941550 0.336874i \(-0.890630\pi\)
0.983843 + 0.179034i \(0.0572971\pi\)
\(332\) 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 \(0.124464\pi\)
−0.924523 + 0.381127i \(0.875536\pi\)
\(338\) −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 0.713240 0.700920i \(-0.247227\pi\)
−0.250395 + 0.968144i \(0.580560\pi\)
\(348\) 6.55236 + 2.76723i 0.351243 + 0.148339i
\(349\) 13.9690 13.9690i 0.747742 0.747742i −0.226313 0.974055i \(-0.572667\pi\)
0.974055 + 0.226313i \(0.0726672\pi\)
\(350\) −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 0.989626 + 0.143665i \(0.0458889\pi\)
−0.785209 + 0.619231i \(0.787444\pi\)
\(354\) 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 0.784764 + 0.619794i \(0.212784\pi\)
−0.989523 + 0.144375i \(0.953883\pi\)
\(360\) −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 −0.980804 0.194998i \(-0.937530\pi\)
0.659275 + 0.751902i \(0.270863\pi\)
\(368\) 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 0.793141 0.609038i \(-0.208444\pi\)
−0.924013 + 0.382361i \(0.875111\pi\)
\(374\) −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 0.675461 0.737396i \(-0.263945\pi\)
−0.737396 + 0.675461i \(0.763945\pi\)
\(380\) −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 −0.219734 0.975560i \(-0.570519\pi\)
−0.678075 + 0.734993i \(0.737185\pi\)
\(384\) −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 0.146240 + 0.989249i \(0.453283\pi\)
−0.929835 + 0.367977i \(0.880051\pi\)
\(390\) 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 0.419758 0.907636i \(-0.362115\pi\)
−0.0902972 + 0.995915i \(0.528782\pi\)
\(398\) 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 −0.625856 0.779939i \(-0.715250\pi\)
0.931976 0.362519i \(-0.118083\pi\)
\(402\) 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 −0.318970 0.947765i \(-0.603337\pi\)
0.197646 + 0.980273i \(0.436670\pi\)
\(410\) 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 \(0.0302195\pi\)
−0.995497 + 0.0947948i \(0.969781\pi\)
\(420\) −2.18087 1.67329i −0.106416 0.0816480i
\(421\) 0.262070 + 0.262070i 0.0127725 + 0.0127725i 0.713464 0.700692i \(-0.247125\pi\)
−0.700692 + 0.713464i \(0.747125\pi\)
\(422\) −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 0.995451 + 0.0952769i \(0.0303736\pi\)
−0.814447 + 0.580238i \(0.802960\pi\)
\(432\) −3.24791 + 4.05599i −0.156265 + 0.195144i
\(433\) 9.24282i 0.444182i −0.975026 0.222091i \(-0.928712\pi\)
0.975026 0.222091i \(-0.0712881\pi\)
\(434\) 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 −0.363775 0.931487i \(-0.618512\pi\)
0.624804 + 0.780782i \(0.285179\pi\)
\(440\) 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 −0.158128 0.987419i \(-0.550546\pi\)
0.776065 + 0.630652i \(0.217213\pi\)
\(444\) 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 0.921491 0.388400i \(-0.126972\pi\)
−0.388400 + 0.921491i \(0.626972\pi\)
\(450\) −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 0.790037 + 0.613059i \(0.210061\pi\)
−0.990722 + 0.135907i \(0.956605\pi\)
\(458\) −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 −0.934017 0.357229i \(-0.883722\pi\)
0.357229 + 0.934017i \(0.383722\pi\)
\(462\) −14.5940 + 1.92201i −0.678976 + 0.0894200i
\(463\) 15.3743 15.3743i 0.714503 0.714503i −0.252971 0.967474i \(-0.581408\pi\)
0.967474 + 0.252971i \(0.0814076\pi\)
\(464\) −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 0.926129 0.377208i \(-0.123116\pi\)
−0.789736 + 0.613447i \(0.789782\pi\)
\(468\) −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 0.163204 0.986592i \(-0.447817\pi\)
0.634635 + 0.772812i \(0.281151\pi\)
\(480\) 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 −0.972283 0.233807i \(-0.924882\pi\)
−0.725118 + 0.688624i \(0.758215\pi\)
\(488\) 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 0.285555 + 0.958362i \(0.407822\pi\)
−0.726479 + 0.687189i \(0.758845\pi\)
\(500\) 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 \(-0.902719\pi\)
0.953662 0.300882i \(-0.0972809\pi\)
\(504\) −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 0.995451 0.0952733i \(-0.0303725\pi\)
0.814449 + 0.580235i \(0.197039\pi\)
\(510\) −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 −0.100004 0.994987i \(-0.531886\pi\)
−0.911686 + 0.410888i \(0.865219\pi\)
\(522\) −0.170091 + 12.3184i −0.00744467 + 0.539164i
\(523\) −9.51589 16.4820i −0.416101 0.720708i 0.579443 0.815013i \(-0.303270\pi\)
−0.995543 + 0.0943055i \(0.969937\pi\)
\(524\) 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 −0.864342 0.502905i \(-0.832265\pi\)
−0.999994 + 0.00335721i \(0.998931\pi\)
\(542\) −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 0.613963 0.789335i \(-0.289574\pi\)
0.926375 + 0.376603i \(0.122908\pi\)
\(558\) −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 −0.966606 0.256268i \(-0.917507\pi\)
0.705238 + 0.708971i \(0.250840\pi\)
\(564\) 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 0.997635 + 0.0687356i \(0.0218965\pi\)
−0.439291 + 0.898345i \(0.644770\pi\)
\(570\) −6.81322 5.30309i −0.285374 0.222122i
\(571\) −38.6796 22.3317i −1.61869 0.934552i −0.987259 0.159121i \(-0.949134\pi\)
−0.631432 0.775431i \(-0.717533\pi\)
\(572\) 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 −0.0345564 0.999403i \(-0.511002\pi\)
0.469775 + 0.882786i \(0.344335\pi\)
\(578\) 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 −0.480871 0.876791i \(-0.659679\pi\)
0.876791 + 0.480871i \(0.159679\pi\)
\(588\) −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 −0.762295 0.647229i \(-0.775928\pi\)
0.983782 0.179369i \(-0.0574056\pi\)
\(594\) −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 0.0306925 0.999529i \(-0.490229\pi\)
−0.850271 + 0.526345i \(0.823562\pi\)
\(600\) 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 −0.965499 0.260407i \(-0.916143\pi\)
0.257231 0.966350i \(-0.417190\pi\)
\(608\) −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 0.141879 0.989884i \(-0.454686\pi\)
0.617812 + 0.786325i \(0.288019\pi\)
\(614\) 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 −0.845688 0.533677i \(-0.820810\pi\)
0.533677 + 0.845688i \(0.320810\pi\)
\(618\) 0.274689 + 0.676327i 0.0110496 + 0.0272059i
\(619\) −10.8113 40.3484i −0.434544 1.62174i −0.742156 0.670228i \(-0.766196\pi\)
0.307612 0.951512i \(-0.400470\pi\)
\(620\) 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 −0.760230 0.649653i \(-0.774914\pi\)
0.649653 + 0.760230i \(0.274914\pi\)
\(632\) −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 −0.983989 0.178231i \(-0.942963\pi\)
0.646347 + 0.763044i \(0.276296\pi\)
\(642\) −8.31533 20.4736i −0.328180 0.808029i
\(643\) 15.2523 + 15.2523i 0.601493 + 0.601493i 0.940709 0.339215i \(-0.110162\pi\)
−0.339215 + 0.940709i \(0.610162\pi\)
\(644\) 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 −0.712427 0.701746i \(-0.752404\pi\)
0.963944 + 0.266106i \(0.0857373\pi\)
\(648\) −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 −0.302928 0.953013i \(-0.597964\pi\)
0.673870 + 0.738850i \(0.264631\pi\)
\(654\) −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 \(-0.878127\pi\)
0.927595 0.373588i \(-0.121873\pi\)
\(660\) −1.29840 + 3.07440i −0.0505400 + 0.119671i
\(661\) −0.274549 1.02463i −0.0106787 0.0398535i 0.960381 0.278691i \(-0.0899004\pi\)
−0.971060 + 0.238837i \(0.923234\pi\)
\(662\) −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 \(-0.869660\pi\)
0.917329 0.398129i \(-0.130340\pi\)
\(674\) 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 −0.143748 0.989614i \(-0.545916\pi\)
0.785157 + 0.619297i \(0.212582\pi\)
\(678\) −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 0.209646 0.977777i \(-0.432769\pi\)
0.670447 + 0.741957i \(0.266102\pi\)
\(684\) −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 −0.936893 0.349617i \(-0.886312\pi\)
0.986181 + 0.165669i \(0.0529783\pi\)
\(692\) 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 0.940358 0.340187i \(-0.110490\pi\)
0.644280 + 0.764789i \(0.277157\pi\)
\(710\) 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 −0.994662 0.103182i \(-0.967098\pi\)
0.407973 0.912994i \(-0.366236\pi\)
\(720\) 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 \(-0.715061\pi\)
0.625393 0.780310i \(-0.284939\pi\)
\(728\) 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 −0.793658 0.608365i \(-0.791826\pi\)
0.991510 0.130030i \(-0.0415075\pi\)
\(734\) 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 0.864911 + 0.501925i \(0.167375\pi\)
−0.498072 + 0.867136i \(0.665959\pi\)
\(740\) −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 −0.735955 0.677030i \(-0.763267\pi\)
0.677030 + 0.735955i \(0.263267\pi\)
\(744\) 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 −0.466719 0.884406i \(-0.654564\pi\)
0.532558 + 0.846394i \(0.321231\pi\)
\(752\) −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 0.788312 + 0.615276i \(0.210955\pi\)
−0.990336 + 0.138688i \(0.955711\pi\)
\(762\) 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 0.933651 0.358185i \(-0.116604\pi\)
−0.358185 + 0.933651i \(0.616604\pi\)
\(770\) −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 −0.965180 0.261588i \(-0.915754\pi\)
0.705076 0.709131i \(-0.250913\pi\)