Properties

Label 770.2.bd.a.527.46
Level $770$
Weight $2$
Character 770.527
Analytic conductor $6.148$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.46
Character \(\chi\) \(=\) 770.527
Dual form 770.2.bd.a.263.46

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 + 0.965926i) q^{2} +(2.51796 + 0.674686i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.550816 + 2.16716i) q^{5} +2.60679i q^{6} +(-2.23755 + 1.41186i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(3.28685 + 1.89767i) q^{9} +O(q^{10})\) \(q+(0.258819 + 0.965926i) q^{2} +(2.51796 + 0.674686i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(0.550816 + 2.16716i) q^{5} +2.60679i q^{6} +(-2.23755 + 1.41186i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(3.28685 + 1.89767i) q^{9} +(-1.95076 + 1.09295i) q^{10} +(-3.21067 + 0.831617i) q^{11} +(-2.51796 + 0.674686i) q^{12} +(0.233580 + 0.233580i) q^{13} +(-1.94288 - 1.79589i) q^{14} +(-0.0752204 + 5.82846i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.03795 + 0.278118i) q^{17} +(-0.982304 + 3.66601i) q^{18} +(1.68776 - 2.92329i) q^{19} +(-1.56060 - 1.60141i) q^{20} +(-6.58664 + 2.04537i) q^{21} +(-1.63426 - 2.88603i) q^{22} +(0.270442 + 1.00930i) q^{23} +(-1.30339 - 2.25754i) q^{24} +(-4.39320 + 2.38742i) q^{25} +(-0.165166 + 0.286076i) q^{26} +(1.46601 + 1.46601i) q^{27} +(1.23185 - 2.34149i) q^{28} +6.63372 q^{29} +(-5.64933 + 1.43586i) q^{30} +(1.19225 + 2.06504i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-8.64543 - 0.0722152i) q^{33} +1.07457i q^{34} +(-4.29222 - 4.07147i) q^{35} -3.79533 q^{36} +(11.1730 - 2.99379i) q^{37} +(3.26051 + 0.873651i) q^{38} +(0.430553 + 0.745739i) q^{39} +(1.14293 - 1.92190i) q^{40} +2.15884i q^{41} +(-3.68042 - 5.83282i) q^{42} +(-0.522011 - 0.522011i) q^{43} +(2.36471 - 2.32554i) q^{44} +(-2.30210 + 8.16841i) q^{45} +(-0.904915 + 0.522453i) q^{46} +(-5.98529 + 1.60375i) q^{47} +(1.84328 - 1.84328i) q^{48} +(3.01329 - 6.31823i) q^{49} +(-3.44311 - 3.62560i) q^{50} +(2.42588 + 1.40058i) q^{51} +(-0.319077 - 0.0854963i) q^{52} +(5.89670 + 1.58002i) q^{53} +(-1.03663 + 1.79549i) q^{54} +(-3.57074 - 6.49999i) q^{55} +(2.58053 + 0.583852i) q^{56} +(6.22203 - 6.22203i) q^{57} +(1.71693 + 6.40768i) q^{58} +(1.71046 - 0.987536i) q^{59} +(-2.84909 - 5.08521i) q^{60} +(7.62508 + 4.40234i) q^{61} +(-1.68610 + 1.68610i) q^{62} +(-10.0337 + 0.394455i) q^{63} +1.00000i q^{64} +(-0.377547 + 0.634867i) q^{65} +(-2.16785 - 8.36953i) q^{66} +(-3.30161 + 12.3218i) q^{67} +(-1.03795 + 0.278118i) q^{68} +2.72385i q^{69} +(2.82183 - 5.19974i) q^{70} +5.48625 q^{71} +(-0.982304 - 3.66601i) q^{72} +(-1.14200 + 4.26200i) q^{73} +(5.78356 + 10.0174i) q^{74} +(-12.6727 + 3.04740i) q^{75} +3.37553i q^{76} +(6.00992 - 6.39381i) q^{77} +(-0.608894 + 0.608894i) q^{78} +(6.50015 - 11.2586i) q^{79} +(2.15223 + 0.606561i) q^{80} +(-2.99073 - 5.18010i) q^{81} +(-2.08528 + 0.558748i) q^{82} +(8.47152 + 8.47152i) q^{83} +(4.68151 - 5.06466i) q^{84} +(-0.0310072 + 2.40260i) q^{85} +(0.369118 - 0.639330i) q^{86} +(16.7034 + 4.47568i) q^{87} +(2.85833 + 1.68225i) q^{88} +(-13.1775 - 7.60804i) q^{89} +(-8.48591 - 0.109517i) q^{90} +(-0.852431 - 0.192865i) q^{91} +(-0.738860 - 0.738860i) q^{92} +(1.60879 + 6.00410i) q^{93} +(-3.09821 - 5.36626i) q^{94} +(7.26491 + 2.04747i) q^{95} +(2.25754 + 1.30339i) q^{96} +(-0.281451 - 0.281451i) q^{97} +(6.88284 + 1.27534i) q^{98} +(-12.1311 - 3.35938i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q + 8 q^{5}+O(q^{10}) \) Copy content Toggle raw display \( 192 q + 8 q^{5} + 4 q^{11} + 16 q^{15} + 96 q^{16} + 24 q^{22} - 8 q^{23} + 24 q^{25} - 8 q^{26} - 16 q^{33} - 160 q^{36} - 40 q^{37} - 40 q^{42} + 32 q^{45} - 40 q^{47} + 40 q^{53} + 8 q^{55} + 16 q^{56} + 32 q^{58} - 48 q^{67} - 72 q^{70} + 32 q^{71} - 48 q^{75} - 72 q^{77} - 8 q^{80} + 64 q^{81} + 16 q^{82} - 12 q^{88} - 112 q^{91} - 16 q^{92} + 80 q^{93} - 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 + 0.965926i 0.183013 + 0.683013i
\(3\) 2.51796 + 0.674686i 1.45375 + 0.389530i 0.897325 0.441371i \(-0.145508\pi\)
0.556421 + 0.830901i \(0.312174\pi\)
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 0.550816 + 2.16716i 0.246333 + 0.969185i
\(6\) 2.60679i 1.06422i
\(7\) −2.23755 + 1.41186i −0.845716 + 0.533634i
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) 3.28685 + 1.89767i 1.09562 + 0.632555i
\(10\) −1.95076 + 1.09295i −0.616884 + 0.345622i
\(11\) −3.21067 + 0.831617i −0.968054 + 0.250742i
\(12\) −2.51796 + 0.674686i −0.726873 + 0.194765i
\(13\) 0.233580 + 0.233580i 0.0647835 + 0.0647835i 0.738756 0.673973i \(-0.235413\pi\)
−0.673973 + 0.738756i \(0.735413\pi\)
\(14\) −1.94288 1.79589i −0.519255 0.479973i
\(15\) −0.0752204 + 5.82846i −0.0194218 + 1.50490i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.03795 + 0.278118i 0.251740 + 0.0674535i 0.382482 0.923963i \(-0.375069\pi\)
−0.130742 + 0.991416i \(0.541736\pi\)
\(18\) −0.982304 + 3.66601i −0.231531 + 0.864086i
\(19\) 1.68776 2.92329i 0.387200 0.670650i −0.604872 0.796323i \(-0.706776\pi\)
0.992072 + 0.125673i \(0.0401090\pi\)
\(20\) −1.56060 1.60141i −0.348961 0.358086i
\(21\) −6.58664 + 2.04537i −1.43732 + 0.446336i
\(22\) −1.63426 2.88603i −0.348426 0.615304i
\(23\) 0.270442 + 1.00930i 0.0563910 + 0.210454i 0.988373 0.152052i \(-0.0485880\pi\)
−0.931982 + 0.362506i \(0.881921\pi\)
\(24\) −1.30339 2.25754i −0.266054 0.460819i
\(25\) −4.39320 + 2.38742i −0.878641 + 0.477484i
\(26\) −0.165166 + 0.286076i −0.0323918 + 0.0561042i
\(27\) 1.46601 + 1.46601i 0.282134 + 0.282134i
\(28\) 1.23185 2.34149i 0.232797 0.442499i
\(29\) 6.63372 1.23185 0.615925 0.787805i \(-0.288782\pi\)
0.615925 + 0.787805i \(0.288782\pi\)
\(30\) −5.64933 + 1.43586i −1.03142 + 0.262151i
\(31\) 1.19225 + 2.06504i 0.214135 + 0.370893i 0.953005 0.302956i \(-0.0979734\pi\)
−0.738870 + 0.673848i \(0.764640\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) −8.64543 0.0722152i −1.50498 0.0125711i
\(34\) 1.07457i 0.184286i
\(35\) −4.29222 4.07147i −0.725517 0.688204i
\(36\) −3.79533 −0.632555
\(37\) 11.1730 2.99379i 1.83683 0.492176i 0.838237 0.545305i \(-0.183586\pi\)
0.998588 + 0.0531297i \(0.0169197\pi\)
\(38\) 3.26051 + 0.873651i 0.528925 + 0.141725i
\(39\) 0.430553 + 0.745739i 0.0689436 + 0.119414i
\(40\) 1.14293 1.92190i 0.180713 0.303879i
\(41\) 2.15884i 0.337154i 0.985688 + 0.168577i \(0.0539172\pi\)
−0.985688 + 0.168577i \(0.946083\pi\)
\(42\) −3.68042 5.83282i −0.567901 0.900024i
\(43\) −0.522011 0.522011i −0.0796059 0.0796059i 0.666183 0.745789i \(-0.267927\pi\)
−0.745789 + 0.666183i \(0.767927\pi\)
\(44\) 2.36471 2.32554i 0.356494 0.350588i
\(45\) −2.30210 + 8.16841i −0.343177 + 1.21768i
\(46\) −0.904915 + 0.522453i −0.133422 + 0.0770315i
\(47\) −5.98529 + 1.60375i −0.873044 + 0.233932i −0.667404 0.744696i \(-0.732594\pi\)
−0.205641 + 0.978628i \(0.565928\pi\)
\(48\) 1.84328 1.84328i 0.266054 0.266054i
\(49\) 3.01329 6.31823i 0.430470 0.902605i
\(50\) −3.44311 3.62560i −0.486930 0.512737i
\(51\) 2.42588 + 1.40058i 0.339691 + 0.196121i
\(52\) −0.319077 0.0854963i −0.0442480 0.0118562i
\(53\) 5.89670 + 1.58002i 0.809975 + 0.217032i 0.639959 0.768409i \(-0.278951\pi\)
0.170016 + 0.985441i \(0.445618\pi\)
\(54\) −1.03663 + 1.79549i −0.141067 + 0.244335i
\(55\) −3.57074 6.49999i −0.481479 0.876458i
\(56\) 2.58053 + 0.583852i 0.344837 + 0.0780205i
\(57\) 6.22203 6.22203i 0.824128 0.824128i
\(58\) 1.71693 + 6.40768i 0.225444 + 0.841370i
\(59\) 1.71046 0.987536i 0.222683 0.128566i −0.384509 0.923121i \(-0.625629\pi\)
0.607192 + 0.794555i \(0.292296\pi\)
\(60\) −2.84909 5.08521i −0.367816 0.656498i
\(61\) 7.62508 + 4.40234i 0.976291 + 0.563662i 0.901148 0.433511i \(-0.142725\pi\)
0.0751426 + 0.997173i \(0.476059\pi\)
\(62\) −1.68610 + 1.68610i −0.214135 + 0.214135i
\(63\) −10.0337 + 0.394455i −1.26413 + 0.0496966i
\(64\) 1.00000i 0.125000i
\(65\) −0.377547 + 0.634867i −0.0468289 + 0.0787455i
\(66\) −2.16785 8.36953i −0.266843 1.03022i
\(67\) −3.30161 + 12.3218i −0.403356 + 1.50535i 0.403712 + 0.914886i \(0.367720\pi\)
−0.807068 + 0.590459i \(0.798947\pi\)
\(68\) −1.03795 + 0.278118i −0.125870 + 0.0337268i
\(69\) 2.72385i 0.327913i
\(70\) 2.82183 5.19974i 0.337273 0.621488i
\(71\) 5.48625 0.651098 0.325549 0.945525i \(-0.394451\pi\)
0.325549 + 0.945525i \(0.394451\pi\)
\(72\) −0.982304 3.66601i −0.115766 0.432043i
\(73\) −1.14200 + 4.26200i −0.133661 + 0.498830i −1.00000 0.000627169i \(-0.999800\pi\)
0.866339 + 0.499457i \(0.166467\pi\)
\(74\) 5.78356 + 10.0174i 0.672325 + 1.16450i
\(75\) −12.6727 + 3.04740i −1.46331 + 0.351883i
\(76\) 3.37553i 0.387200i
\(77\) 6.00992 6.39381i 0.684894 0.728643i
\(78\) −0.608894 + 0.608894i −0.0689436 + 0.0689436i
\(79\) 6.50015 11.2586i 0.731324 1.26669i −0.224994 0.974360i \(-0.572236\pi\)
0.956318 0.292330i \(-0.0944305\pi\)
\(80\) 2.15223 + 0.606561i 0.240626 + 0.0678156i
\(81\) −2.99073 5.18010i −0.332303 0.575566i
\(82\) −2.08528 + 0.558748i −0.230280 + 0.0617034i
\(83\) 8.47152 + 8.47152i 0.929870 + 0.929870i 0.997697 0.0678273i \(-0.0216067\pi\)
−0.0678273 + 0.997697i \(0.521607\pi\)
\(84\) 4.68151 5.06466i 0.510795 0.552600i
\(85\) −0.0310072 + 2.40260i −0.00336321 + 0.260599i
\(86\) 0.369118 0.639330i 0.0398030 0.0689408i
\(87\) 16.7034 + 4.47568i 1.79080 + 0.479843i
\(88\) 2.85833 + 1.68225i 0.304699 + 0.179328i
\(89\) −13.1775 7.60804i −1.39681 0.806451i −0.402756 0.915307i \(-0.631948\pi\)
−0.994057 + 0.108856i \(0.965281\pi\)
\(90\) −8.48591 0.109517i −0.894493 0.0115441i
\(91\) −0.852431 0.192865i −0.0893591 0.0202178i
\(92\) −0.738860 0.738860i −0.0770315 0.0770315i
\(93\) 1.60879 + 6.00410i 0.166824 + 0.622596i
\(94\) −3.09821 5.36626i −0.319556 0.553488i
\(95\) 7.26491 + 2.04747i 0.745364 + 0.210066i
\(96\) 2.25754 + 1.30339i 0.230409 + 0.133027i
\(97\) −0.281451 0.281451i −0.0285771 0.0285771i 0.692674 0.721251i \(-0.256433\pi\)
−0.721251 + 0.692674i \(0.756433\pi\)
\(98\) 6.88284 + 1.27534i 0.695272 + 0.128829i
\(99\) −12.1311 3.35938i −1.21922 0.337630i
\(100\) 2.61092 4.26417i 0.261092 0.426417i
\(101\) −5.35459 + 3.09147i −0.532802 + 0.307613i −0.742157 0.670227i \(-0.766197\pi\)
0.209355 + 0.977840i \(0.432864\pi\)
\(102\) −0.724994 + 2.70571i −0.0717851 + 0.267906i
\(103\) −4.93798 18.4288i −0.486554 1.81584i −0.572959 0.819584i \(-0.694204\pi\)
0.0864045 0.996260i \(-0.472462\pi\)
\(104\) 0.330332i 0.0323918i
\(105\) −8.06068 13.1477i −0.786642 1.28308i
\(106\) 6.10472i 0.592943i
\(107\) −0.710514 2.65167i −0.0686880 0.256347i 0.923040 0.384704i \(-0.125696\pi\)
−0.991728 + 0.128357i \(0.959030\pi\)
\(108\) −2.00261 0.536598i −0.192701 0.0516342i
\(109\) −7.34159 12.7160i −0.703196 1.21797i −0.967338 0.253488i \(-0.918422\pi\)
0.264142 0.964484i \(-0.414911\pi\)
\(110\) 5.35433 5.13139i 0.510515 0.489259i
\(111\) 30.1530 2.86199
\(112\) 0.103932 + 2.64371i 0.00982061 + 0.249807i
\(113\) −9.52334 + 9.52334i −0.895880 + 0.895880i −0.995069 0.0991883i \(-0.968375\pi\)
0.0991883 + 0.995069i \(0.468375\pi\)
\(114\) 7.62040 + 4.39964i 0.713716 + 0.412064i
\(115\) −2.03836 + 1.14203i −0.190078 + 0.106495i
\(116\) −5.74497 + 3.31686i −0.533407 + 0.307963i
\(117\) 0.324487 + 1.21100i 0.0299988 + 0.111957i
\(118\) 1.39659 + 1.39659i 0.128566 + 0.128566i
\(119\) −2.71513 + 0.843139i −0.248896 + 0.0772904i
\(120\) 4.17454 4.06816i 0.381081 0.371370i
\(121\) 9.61683 5.34010i 0.874257 0.485463i
\(122\) −2.27882 + 8.50467i −0.206315 + 0.769976i
\(123\) −1.45654 + 5.43587i −0.131332 + 0.490136i
\(124\) −2.06504 1.19225i −0.185446 0.107068i
\(125\) −7.59378 8.20576i −0.679208 0.733946i
\(126\) −2.97794 9.58976i −0.265296 0.854324i
\(127\) −8.14616 + 8.14616i −0.722855 + 0.722855i −0.969186 0.246331i \(-0.920775\pi\)
0.246331 + 0.969186i \(0.420775\pi\)
\(128\) −0.965926 + 0.258819i −0.0853766 + 0.0228766i
\(129\) −0.962210 1.66660i −0.0847179 0.146736i
\(130\) −0.710950 0.200367i −0.0623545 0.0175733i
\(131\) 3.78477 + 2.18514i 0.330677 + 0.190917i 0.656142 0.754638i \(-0.272187\pi\)
−0.325465 + 0.945554i \(0.605521\pi\)
\(132\) 7.52327 4.26017i 0.654816 0.370801i
\(133\) 0.350824 + 8.92392i 0.0304203 + 0.773802i
\(134\) −12.7564 −1.10199
\(135\) −2.36959 + 3.98459i −0.203942 + 0.342939i
\(136\) −0.537283 0.930601i −0.0460716 0.0797984i
\(137\) −3.47575 + 12.9717i −0.296953 + 1.10824i 0.642701 + 0.766117i \(0.277814\pi\)
−0.939654 + 0.342127i \(0.888853\pi\)
\(138\) −2.63103 + 0.704983i −0.223968 + 0.0600122i
\(139\) −4.16294 −0.353096 −0.176548 0.984292i \(-0.556493\pi\)
−0.176548 + 0.984292i \(0.556493\pi\)
\(140\) 5.75290 + 1.37989i 0.486209 + 0.116622i
\(141\) −16.1528 −1.36031
\(142\) 1.41995 + 5.29931i 0.119159 + 0.444708i
\(143\) −0.944199 0.555700i −0.0789579 0.0464700i
\(144\) 3.28685 1.89767i 0.273904 0.158139i
\(145\) 3.65396 + 14.3764i 0.303445 + 1.19389i
\(146\) −4.41235 −0.365169
\(147\) 11.8502 13.8760i 0.977386 1.14448i
\(148\) −8.17918 + 8.17918i −0.672325 + 0.672325i
\(149\) −2.65708 + 4.60220i −0.217677 + 0.377027i −0.954097 0.299497i \(-0.903181\pi\)
0.736421 + 0.676524i \(0.236514\pi\)
\(150\) −6.22349 11.4521i −0.508146 0.935063i
\(151\) −9.14123 + 5.27769i −0.743903 + 0.429492i −0.823487 0.567336i \(-0.807974\pi\)
0.0795839 + 0.996828i \(0.474641\pi\)
\(152\) −3.26051 + 0.873651i −0.264462 + 0.0708625i
\(153\) 2.88381 + 2.88381i 0.233143 + 0.233143i
\(154\) 7.73143 + 4.15030i 0.623016 + 0.334441i
\(155\) −3.81858 + 3.72127i −0.306715 + 0.298900i
\(156\) −0.745739 0.430553i −0.0597069 0.0344718i
\(157\) 3.03914 11.3422i 0.242550 0.905208i −0.732049 0.681252i \(-0.761436\pi\)
0.974599 0.223956i \(-0.0718974\pi\)
\(158\) 12.5573 + 3.36472i 0.999007 + 0.267683i
\(159\) 13.7817 + 7.95684i 1.09296 + 0.631019i
\(160\) −0.0288556 + 2.23588i −0.00228124 + 0.176762i
\(161\) −2.03012 1.87654i −0.159996 0.147892i
\(162\) 4.22953 4.22953i 0.332303 0.332303i
\(163\) −3.69728 13.7984i −0.289593 1.08078i −0.945417 0.325863i \(-0.894345\pi\)
0.655824 0.754914i \(-0.272322\pi\)
\(164\) −1.07942 1.86961i −0.0842885 0.145992i
\(165\) −4.60554 18.7758i −0.358541 1.46170i
\(166\) −5.99027 + 10.3754i −0.464935 + 0.805291i
\(167\) 13.4380 13.4380i 1.03986 1.03986i 0.0406929 0.999172i \(-0.487043\pi\)
0.999172 0.0406929i \(-0.0129565\pi\)
\(168\) 6.10375 + 3.21116i 0.470914 + 0.247746i
\(169\) 12.8909i 0.991606i
\(170\) −2.32876 + 0.591888i −0.178608 + 0.0453958i
\(171\) 11.0949 6.40562i 0.848446 0.489850i
\(172\) 0.713080 + 0.191069i 0.0543719 + 0.0145689i
\(173\) 24.0020 6.43132i 1.82484 0.488964i 0.827473 0.561505i \(-0.189777\pi\)
0.997365 + 0.0725409i \(0.0231108\pi\)
\(174\) 17.2927i 1.31095i
\(175\) 6.45932 11.5446i 0.488279 0.872688i
\(176\) −0.885135 + 3.19633i −0.0667195 + 0.240933i
\(177\) 4.97315 1.33255i 0.373805 0.100161i
\(178\) 3.93821 14.6976i 0.295181 1.10163i
\(179\) −4.18455 + 2.41595i −0.312768 + 0.180577i −0.648165 0.761500i \(-0.724463\pi\)
0.335396 + 0.942077i \(0.391130\pi\)
\(180\) −2.09053 8.22510i −0.155819 0.613063i
\(181\) 1.30829 0.0972441 0.0486221 0.998817i \(-0.484517\pi\)
0.0486221 + 0.998817i \(0.484517\pi\)
\(182\) −0.0343320 0.873303i −0.00254485 0.0647335i
\(183\) 16.2294 + 16.2294i 1.19972 + 1.19972i
\(184\) 0.522453 0.904915i 0.0385158 0.0667112i
\(185\) 12.6423 + 22.5646i 0.929479 + 1.65898i
\(186\) −5.38313 + 3.10795i −0.394710 + 0.227886i
\(187\) −3.56381 0.0297684i −0.260611 0.00217688i
\(188\) 4.38154 4.38154i 0.319556 0.319556i
\(189\) −5.35009 1.21047i −0.389162 0.0880490i
\(190\) −0.0974030 + 7.54729i −0.00706636 + 0.547538i
\(191\) 6.41683 11.1143i 0.464306 0.804201i −0.534864 0.844938i \(-0.679637\pi\)
0.999170 + 0.0407370i \(0.0129706\pi\)
\(192\) −0.674686 + 2.51796i −0.0486912 + 0.181718i
\(193\) 5.04600 18.8319i 0.363219 1.35555i −0.506600 0.862181i \(-0.669098\pi\)
0.869819 0.493370i \(-0.164235\pi\)
\(194\) 0.199016 0.344706i 0.0142885 0.0247485i
\(195\) −1.37898 + 1.34384i −0.0987511 + 0.0962347i
\(196\) 0.549530 + 6.97840i 0.0392521 + 0.498457i
\(197\) 5.59017 5.59017i 0.398283 0.398283i −0.479344 0.877627i \(-0.659125\pi\)
0.877627 + 0.479344i \(0.159125\pi\)
\(198\) 0.105141 12.5872i 0.00747206 0.894537i
\(199\) 2.47631 1.42970i 0.175541 0.101349i −0.409655 0.912241i \(-0.634351\pi\)
0.585196 + 0.810892i \(0.301018\pi\)
\(200\) 4.79462 + 1.41830i 0.339031 + 0.100289i
\(201\) −16.6267 + 28.7982i −1.17275 + 2.03127i
\(202\) −4.37200 4.37200i −0.307613 0.307613i
\(203\) −14.8433 + 9.36590i −1.04180 + 0.657357i
\(204\) −2.80116 −0.196121
\(205\) −4.67856 + 1.18912i −0.326765 + 0.0830520i
\(206\) 16.5228 9.53945i 1.15120 0.664645i
\(207\) −1.02642 + 3.83063i −0.0713408 + 0.266247i
\(208\) 0.319077 0.0854963i 0.0221240 0.00592810i
\(209\) −2.98780 + 10.7893i −0.206670 + 0.746312i
\(210\) 10.6134 11.1889i 0.732397 0.772107i
\(211\) 7.21109i 0.496432i −0.968705 0.248216i \(-0.920156\pi\)
0.968705 0.248216i \(-0.0798442\pi\)
\(212\) −5.89670 + 1.58002i −0.404987 + 0.108516i
\(213\) 13.8142 + 3.70150i 0.946531 + 0.253622i
\(214\) 2.37743 1.37261i 0.162517 0.0938295i
\(215\) 0.843752 1.41882i 0.0575434 0.0967625i
\(216\) 2.07325i 0.141067i
\(217\) −5.58329 2.93735i −0.379018 0.199400i
\(218\) 10.3826 10.3826i 0.703196 0.703196i
\(219\) −5.75102 + 9.96106i −0.388618 + 0.673106i
\(220\) 6.34235 + 3.84378i 0.427601 + 0.259148i
\(221\) 0.177482 + 0.307408i 0.0119387 + 0.0206785i
\(222\) 7.80416 + 29.1255i 0.523781 + 1.95478i
\(223\) −10.7374 + 10.7374i −0.719032 + 0.719032i −0.968407 0.249375i \(-0.919775\pi\)
0.249375 + 0.968407i \(0.419775\pi\)
\(224\) −2.52673 + 0.784632i −0.168824 + 0.0524255i
\(225\) −18.9703 0.489732i −1.26469 0.0326488i
\(226\) −11.6637 6.73402i −0.775855 0.447940i
\(227\) 25.3812 + 6.80087i 1.68461 + 0.451390i 0.968990 0.247101i \(-0.0794781\pi\)
0.715619 + 0.698491i \(0.246145\pi\)
\(228\) −2.27742 + 8.49945i −0.150826 + 0.562890i
\(229\) 19.6662 + 11.3543i 1.29958 + 0.750313i 0.980331 0.197358i \(-0.0632363\pi\)
0.319248 + 0.947671i \(0.396570\pi\)
\(230\) −1.63068 1.67332i −0.107524 0.110336i
\(231\) 19.4466 12.0446i 1.27949 0.792474i
\(232\) −4.69075 4.69075i −0.307963 0.307963i
\(233\) 16.1023 4.31459i 1.05489 0.282658i 0.310621 0.950534i \(-0.399463\pi\)
0.744273 + 0.667876i \(0.232796\pi\)
\(234\) −1.08575 + 0.626860i −0.0709779 + 0.0409791i
\(235\) −6.77239 12.0877i −0.441782 0.788517i
\(236\) −0.987536 + 1.71046i −0.0642831 + 0.111342i
\(237\) 23.9631 23.9631i 1.55657 1.55657i
\(238\) −1.51714 2.40440i −0.0983414 0.155854i
\(239\) −11.3875 −0.736593 −0.368297 0.929708i \(-0.620059\pi\)
−0.368297 + 0.929708i \(0.620059\pi\)
\(240\) 5.00999 + 2.97937i 0.323393 + 0.192318i
\(241\) −22.3225 + 12.8879i −1.43792 + 0.830182i −0.997705 0.0677110i \(-0.978430\pi\)
−0.440213 + 0.897893i \(0.645097\pi\)
\(242\) 7.64716 + 7.90702i 0.491578 + 0.508283i
\(243\) −5.64540 21.0689i −0.362153 1.35157i
\(244\) −8.80468 −0.563662
\(245\) 15.3524 + 3.05011i 0.980830 + 0.194864i
\(246\) −5.62763 −0.358804
\(247\) 1.07705 0.288595i 0.0685312 0.0183629i
\(248\) 0.617156 2.30326i 0.0391894 0.146257i
\(249\) 15.6153 + 27.0466i 0.989582 + 1.71401i
\(250\) 5.96074 9.45883i 0.376991 0.598229i
\(251\) −13.7881 −0.870299 −0.435149 0.900358i \(-0.643304\pi\)
−0.435149 + 0.900358i \(0.643304\pi\)
\(252\) 8.49225 5.35848i 0.534962 0.337553i
\(253\) −1.70765 3.01563i −0.107359 0.189591i
\(254\) −9.97697 5.76021i −0.626011 0.361427i
\(255\) −1.69908 + 6.02874i −0.106400 + 0.377534i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 18.6893 5.00778i 1.16581 0.312377i 0.376523 0.926407i \(-0.377120\pi\)
0.789282 + 0.614031i \(0.210453\pi\)
\(258\) 1.36077 1.36077i 0.0847179 0.0847179i
\(259\) −20.7733 + 22.4735i −1.29079 + 1.39643i
\(260\) 0.00953195 0.738584i 0.000591146 0.0458050i
\(261\) 21.8041 + 12.5886i 1.34964 + 0.779213i
\(262\) −1.13111 + 4.22137i −0.0698803 + 0.260797i
\(263\) 3.38305 12.6257i 0.208608 0.778534i −0.779712 0.626138i \(-0.784635\pi\)
0.988320 0.152396i \(-0.0486988\pi\)
\(264\) 6.06218 + 6.16430i 0.373101 + 0.379387i
\(265\) −0.176155 + 13.6494i −0.0108211 + 0.838478i
\(266\) −8.52904 + 2.64855i −0.522949 + 0.162393i
\(267\) −28.0474 28.0474i −1.71648 1.71648i
\(268\) −3.30161 12.3218i −0.201678 0.752673i
\(269\) 3.25841 1.88124i 0.198669 0.114701i −0.397366 0.917660i \(-0.630076\pi\)
0.596034 + 0.802959i \(0.296742\pi\)
\(270\) −4.46212 1.25756i −0.271556 0.0765324i
\(271\) −15.3171 8.84333i −0.930448 0.537194i −0.0434946 0.999054i \(-0.513849\pi\)
−0.886953 + 0.461859i \(0.847182\pi\)
\(272\) 0.759832 0.759832i 0.0460716 0.0460716i
\(273\) −2.01627 1.06075i −0.122030 0.0641995i
\(274\) −13.4293 −0.811291
\(275\) 12.1197 11.3187i 0.730846 0.682542i
\(276\) −1.36192 2.35892i −0.0819781 0.141990i
\(277\) −9.82150 2.63166i −0.590116 0.158121i −0.0486100 0.998818i \(-0.515479\pi\)
−0.541506 + 0.840697i \(0.682146\pi\)
\(278\) −1.07745 4.02110i −0.0646211 0.241169i
\(279\) 9.04999i 0.541809i
\(280\) 0.156093 + 5.91402i 0.00932833 + 0.353430i
\(281\) 18.0133i 1.07458i −0.843397 0.537291i \(-0.819448\pi\)
0.843397 0.537291i \(-0.180552\pi\)
\(282\) −4.18064 15.6024i −0.248954 0.929107i
\(283\) −3.10748 + 11.5973i −0.184720 + 0.689385i 0.809970 + 0.586471i \(0.199483\pi\)
−0.994690 + 0.102914i \(0.967183\pi\)
\(284\) −4.75123 + 2.74313i −0.281934 + 0.162775i
\(285\) 16.9114 + 10.0570i 1.00174 + 0.595723i
\(286\) 0.292389 1.05585i 0.0172893 0.0624338i
\(287\) −3.04798 4.83052i −0.179917 0.285136i
\(288\) 2.68370 + 2.68370i 0.158139 + 0.158139i
\(289\) −13.7224 7.92265i −0.807202 0.466039i
\(290\) −12.9408 + 7.25033i −0.759909 + 0.425754i
\(291\) −0.518793 0.898575i −0.0304122 0.0526754i
\(292\) −1.14200 4.26200i −0.0668305 0.249415i
\(293\) 7.72627 + 7.72627i 0.451374 + 0.451374i 0.895810 0.444437i \(-0.146596\pi\)
−0.444437 + 0.895810i \(0.646596\pi\)
\(294\) 16.4703 + 7.85500i 0.960566 + 0.458113i
\(295\) 3.08230 + 3.16290i 0.179459 + 0.184151i
\(296\) −10.0174 5.78356i −0.582250 0.336162i
\(297\) −5.92605 3.48772i −0.343864 0.202378i
\(298\) −5.13309 1.37541i −0.297352 0.0796752i
\(299\) −0.172583 + 0.298923i −0.00998074 + 0.0172872i
\(300\) 9.45116 8.97546i 0.545663 0.518198i
\(301\) 1.90504 + 0.431020i 0.109804 + 0.0248436i
\(302\) −7.46378 7.46378i −0.429492 0.429492i
\(303\) −15.5684 + 4.17155i −0.894382 + 0.239649i
\(304\) −1.68776 2.92329i −0.0968000 0.167662i
\(305\) −5.34058 + 18.9497i −0.305801 + 1.08506i
\(306\) −2.03916 + 3.53194i −0.116571 + 0.201907i
\(307\) 2.76489 2.76489i 0.157800 0.157800i −0.623791 0.781591i \(-0.714408\pi\)
0.781591 + 0.623791i \(0.214408\pi\)
\(308\) −2.00784 + 8.54217i −0.114407 + 0.486735i
\(309\) 49.7346i 2.82930i
\(310\) −4.58279 2.72533i −0.260285 0.154788i
\(311\) 1.54653 + 2.67867i 0.0876958 + 0.151894i 0.906537 0.422127i \(-0.138716\pi\)
−0.818841 + 0.574020i \(0.805383\pi\)
\(312\) 0.222871 0.831764i 0.0126176 0.0470894i
\(313\) 2.56647 + 9.57819i 0.145065 + 0.541391i 0.999752 + 0.0222479i \(0.00708230\pi\)
−0.854687 + 0.519143i \(0.826251\pi\)
\(314\) 11.7423 0.662658
\(315\) −6.38160 21.5275i −0.359562 1.21294i
\(316\) 13.0003i 0.731324i
\(317\) 22.7472 6.09510i 1.27761 0.342335i 0.444669 0.895695i \(-0.353321\pi\)
0.832942 + 0.553360i \(0.186655\pi\)
\(318\) −4.11877 + 15.3714i −0.230969 + 0.861988i
\(319\) −21.2987 + 5.51671i −1.19250 + 0.308877i
\(320\) −2.16716 + 0.550816i −0.121148 + 0.0307916i
\(321\) 7.15619i 0.399419i
\(322\) 1.28716 2.44663i 0.0717309 0.136345i
\(323\) 2.56484 2.56484i 0.142711 0.142711i
\(324\) 5.18010 + 2.99073i 0.287783 + 0.166152i
\(325\) −1.58382 0.468511i −0.0878545 0.0259883i
\(326\) 12.3713 7.14260i 0.685185 0.395592i
\(327\) −9.90653 36.9717i −0.547832 2.04454i
\(328\) 1.52653 1.52653i 0.0842885 0.0842885i
\(329\) 11.1281 12.0389i 0.613514 0.663725i
\(330\) 16.9441 9.30816i 0.932740 0.512397i
\(331\) 3.89302 6.74291i 0.213980 0.370624i −0.738977 0.673731i \(-0.764691\pi\)
0.952957 + 0.303107i \(0.0980240\pi\)
\(332\) −11.5723 3.10079i −0.635113 0.170178i
\(333\) 42.4051 + 11.3624i 2.32379 + 0.622657i
\(334\) 16.4581 + 9.50211i 0.900549 + 0.519932i
\(335\) −28.5219 0.368095i −1.55832 0.0201112i
\(336\) −1.52198 + 6.72688i −0.0830307 + 0.366981i
\(337\) 7.79520 7.79520i 0.424631 0.424631i −0.462163 0.886795i \(-0.652927\pi\)
0.886795 + 0.462163i \(0.152927\pi\)
\(338\) 12.4516 3.33641i 0.677280 0.181477i
\(339\) −30.4047 + 17.5541i −1.65135 + 0.953410i
\(340\) −1.17445 2.09622i −0.0636934 0.113683i
\(341\) −5.54526 5.63868i −0.300293 0.305352i
\(342\) 9.05892 + 9.05892i 0.489850 + 0.489850i
\(343\) 2.17807 + 18.3917i 0.117605 + 0.993060i
\(344\) 0.738235i 0.0398030i
\(345\) −5.90302 + 1.50034i −0.317808 + 0.0807755i
\(346\) 12.4244 + 21.5196i 0.667937 + 1.15690i
\(347\) −27.1227 7.26752i −1.45602 0.390141i −0.557910 0.829901i \(-0.688397\pi\)
−0.898115 + 0.439761i \(0.855063\pi\)
\(348\) −16.7034 + 4.47568i −0.895399 + 0.239921i
\(349\) −37.0121 −1.98121 −0.990606 0.136744i \(-0.956336\pi\)
−0.990606 + 0.136744i \(0.956336\pi\)
\(350\) 12.8230 + 3.25127i 0.685418 + 0.173788i
\(351\) 0.684863i 0.0365553i
\(352\) −3.31651 0.0277028i −0.176771 0.00147656i
\(353\) −3.91830 1.04991i −0.208550 0.0558809i 0.153031 0.988221i \(-0.451096\pi\)
−0.361582 + 0.932340i \(0.617763\pi\)
\(354\) 2.57429 + 4.45881i 0.136822 + 0.236983i
\(355\) 3.02192 + 11.8896i 0.160387 + 0.631035i
\(356\) 15.2161 0.806451
\(357\) −7.40546 + 0.291129i −0.391938 + 0.0154082i
\(358\) −3.41667 3.41667i −0.180577 0.180577i
\(359\) −10.4232 + 18.0536i −0.550117 + 0.952830i 0.448149 + 0.893959i \(0.352083\pi\)
−0.998266 + 0.0588711i \(0.981250\pi\)
\(360\) 7.40377 4.14811i 0.390213 0.218625i
\(361\) 3.80290 + 6.58681i 0.200153 + 0.346674i
\(362\) 0.338609 + 1.26371i 0.0177969 + 0.0664190i
\(363\) 27.8177 6.95782i 1.46005 0.365191i
\(364\) 0.834660 0.259190i 0.0437481 0.0135852i
\(365\) −9.86549 0.127321i −0.516383 0.00666429i
\(366\) −11.4760 + 19.8769i −0.599858 + 1.03898i
\(367\) −6.87004 + 25.6393i −0.358613 + 1.33836i 0.517263 + 0.855826i \(0.326951\pi\)
−0.875876 + 0.482536i \(0.839716\pi\)
\(368\) 1.00930 + 0.270442i 0.0526135 + 0.0140977i
\(369\) −4.09675 + 7.09578i −0.213268 + 0.369392i
\(370\) −18.5237 + 18.0517i −0.963001 + 0.938462i
\(371\) −15.4250 + 4.78996i −0.800824 + 0.248682i
\(372\) −4.39530 4.39530i −0.227886 0.227886i
\(373\) −32.1654 + 8.61870i −1.66546 + 0.446259i −0.963882 0.266330i \(-0.914189\pi\)
−0.701581 + 0.712590i \(0.747522\pi\)
\(374\) −0.893627 3.45008i −0.0462083 0.178399i
\(375\) −13.5845 25.7852i −0.701502 1.33154i
\(376\) 5.36626 + 3.09821i 0.276744 + 0.159778i
\(377\) 1.54951 + 1.54951i 0.0798036 + 0.0798036i
\(378\) −0.215477 5.48108i −0.0110829 0.281916i
\(379\) 33.6853i 1.73030i −0.501516 0.865148i \(-0.667224\pi\)
0.501516 0.865148i \(-0.332776\pi\)
\(380\) −7.31533 + 1.85930i −0.375268 + 0.0953799i
\(381\) −26.0078 + 15.0156i −1.33242 + 0.769274i
\(382\) 12.3964 + 3.32160i 0.634253 + 0.169948i
\(383\) −0.861946 3.21683i −0.0440434 0.164372i 0.940401 0.340067i \(-0.110450\pi\)
−0.984445 + 0.175694i \(0.943783\pi\)
\(384\) −2.60679 −0.133027
\(385\) 17.1668 + 9.50267i 0.874901 + 0.484301i
\(386\) 19.4962 0.992332
\(387\) −0.725171 2.70638i −0.0368625 0.137573i
\(388\) 0.384470 + 0.103018i 0.0195185 + 0.00522997i
\(389\) −8.04652 + 4.64566i −0.407975 + 0.235544i −0.689919 0.723886i \(-0.742354\pi\)
0.281945 + 0.959431i \(0.409021\pi\)
\(390\) −1.65496 0.984184i −0.0838022 0.0498361i
\(391\) 1.12282i 0.0567834i
\(392\) −6.59838 + 2.33695i −0.333269 + 0.118034i
\(393\) 8.05563 + 8.05563i 0.406353 + 0.406353i
\(394\) 6.84654 + 3.95285i 0.344924 + 0.199142i
\(395\) 27.9796 + 7.88548i 1.40781 + 0.396761i
\(396\) 12.1856 3.15626i 0.612347 0.158608i
\(397\) 25.4848 6.82864i 1.27905 0.342720i 0.445557 0.895254i \(-0.353006\pi\)
0.833490 + 0.552534i \(0.186339\pi\)
\(398\) 2.02190 + 2.02190i 0.101349 + 0.101349i
\(399\) −5.13748 + 22.7068i −0.257196 + 1.13676i
\(400\) −0.129036 + 4.99833i −0.00645178 + 0.249917i
\(401\) −10.8662 + 18.8209i −0.542633 + 0.939869i 0.456118 + 0.889919i \(0.349239\pi\)
−0.998752 + 0.0499494i \(0.984094\pi\)
\(402\) −32.1202 8.60659i −1.60201 0.429258i
\(403\) −0.203867 + 0.760840i −0.0101553 + 0.0379002i
\(404\) 3.09147 5.35459i 0.153807 0.266401i
\(405\) 9.57878 9.33468i 0.475973 0.463844i
\(406\) −12.8885 11.9135i −0.639645 0.591255i
\(407\) −33.3831 + 18.9037i −1.65474 + 0.937022i
\(408\) −0.724994 2.70571i −0.0358925 0.133953i
\(409\) −5.64481 9.77709i −0.279118 0.483446i 0.692048 0.721851i \(-0.256709\pi\)
−0.971166 + 0.238405i \(0.923375\pi\)
\(410\) −2.35950 4.21137i −0.116528 0.207985i
\(411\) −17.5036 + 30.3171i −0.863389 + 1.49543i
\(412\) 13.4908 + 13.4908i 0.664645 + 0.664645i
\(413\) −2.43299 + 4.62460i −0.119719 + 0.227562i
\(414\) −3.96576 −0.194907
\(415\) −13.6929 + 23.0254i −0.672159 + 1.13027i
\(416\) 0.165166 + 0.286076i 0.00809794 + 0.0140260i
\(417\) −10.4821 2.80868i −0.513312 0.137542i
\(418\) −11.1950 0.0935116i −0.547564 0.00457380i
\(419\) 6.06087i 0.296093i −0.988980 0.148046i \(-0.952701\pi\)
0.988980 0.148046i \(-0.0472985\pi\)
\(420\) 13.5546 + 7.35590i 0.661397 + 0.358931i
\(421\) −10.1921 −0.496730 −0.248365 0.968666i \(-0.579893\pi\)
−0.248365 + 0.968666i \(0.579893\pi\)
\(422\) 6.96537 1.86637i 0.339069 0.0908533i
\(423\) −22.7162 6.08677i −1.10450 0.295949i
\(424\) −3.05236 5.28684i −0.148236 0.256752i
\(425\) −5.22391 + 1.25619i −0.253397 + 0.0609344i
\(426\) 14.3015i 0.692909i
\(427\) −23.2770 + 0.915084i −1.12645 + 0.0442840i
\(428\) 1.94116 + 1.94116i 0.0938295 + 0.0938295i
\(429\) −2.00253 2.03627i −0.0966832 0.0983120i
\(430\) 1.58885 + 0.447785i 0.0766212 + 0.0215941i
\(431\) −17.6482 + 10.1892i −0.850082 + 0.490795i −0.860678 0.509149i \(-0.829960\pi\)
0.0105967 + 0.999944i \(0.496627\pi\)
\(432\) 2.00261 0.536598i 0.0963506 0.0258171i
\(433\) −0.0258776 + 0.0258776i −0.00124360 + 0.00124360i −0.707728 0.706485i \(-0.750280\pi\)
0.706485 + 0.707728i \(0.250280\pi\)
\(434\) 1.39220 6.15328i 0.0668277 0.295367i
\(435\) −0.498991 + 38.6644i −0.0239248 + 1.85382i
\(436\) 12.7160 + 7.34159i 0.608986 + 0.351598i
\(437\) 3.40693 + 0.912884i 0.162975 + 0.0436692i
\(438\) −11.1101 2.97695i −0.530862 0.142244i
\(439\) 10.4251 18.0568i 0.497562 0.861803i −0.502434 0.864615i \(-0.667562\pi\)
0.999996 + 0.00281297i \(0.000895398\pi\)
\(440\) −2.07129 + 7.12108i −0.0987448 + 0.339484i
\(441\) 21.8941 15.0489i 1.04258 0.716613i
\(442\) −0.250997 + 0.250997i −0.0119387 + 0.0119387i
\(443\) 2.12580 + 7.93361i 0.101000 + 0.376937i 0.997861 0.0653759i \(-0.0208247\pi\)
−0.896861 + 0.442313i \(0.854158\pi\)
\(444\) −26.1132 + 15.0765i −1.23928 + 0.715498i
\(445\) 9.22949 32.7485i 0.437520 1.55243i
\(446\) −13.1506 7.59251i −0.622700 0.359516i
\(447\) −9.79547 + 9.79547i −0.463310 + 0.463310i
\(448\) −1.41186 2.23755i −0.0667042 0.105714i
\(449\) 9.10993i 0.429924i −0.976622 0.214962i \(-0.931037\pi\)
0.976622 0.214962i \(-0.0689628\pi\)
\(450\) −4.43684 18.4507i −0.209155 0.869774i
\(451\) −1.79533 6.93132i −0.0845386 0.326383i
\(452\) 3.48578 13.0091i 0.163957 0.611898i
\(453\) −26.5780 + 7.12157i −1.24875 + 0.334600i
\(454\) 26.2765i 1.23322i
\(455\) −0.0515625 1.95359i −0.00241729 0.0915858i
\(456\) −8.79928 −0.412064
\(457\) 3.44410 + 12.8535i 0.161108 + 0.601264i 0.998505 + 0.0546677i \(0.0174100\pi\)
−0.837396 + 0.546596i \(0.815923\pi\)
\(458\) −5.87741 + 21.9348i −0.274633 + 1.02495i
\(459\) 1.11392 + 1.92937i 0.0519935 + 0.0900554i
\(460\) 1.19426 2.00821i 0.0556824 0.0936332i
\(461\) 23.3632i 1.08813i 0.839042 + 0.544066i \(0.183116\pi\)
−0.839042 + 0.544066i \(0.816884\pi\)
\(462\) 16.6673 + 15.6666i 0.775433 + 0.728875i
\(463\) −23.7551 + 23.7551i −1.10399 + 1.10399i −0.110070 + 0.993924i \(0.535108\pi\)
−0.993924 + 0.110070i \(0.964892\pi\)
\(464\) 3.31686 5.74497i 0.153981 0.266703i
\(465\) −12.1257 + 6.79367i −0.562317 + 0.315049i
\(466\) 8.33514 + 14.4369i 0.386118 + 0.668776i
\(467\) −21.8592 + 5.85715i −1.01152 + 0.271037i −0.726266 0.687414i \(-0.758746\pi\)
−0.285257 + 0.958451i \(0.592079\pi\)
\(468\) −0.886514 0.886514i −0.0409791 0.0409791i
\(469\) −10.0091 32.2321i −0.462178 1.48834i
\(470\) 9.92303 9.67017i 0.457715 0.446052i
\(471\) 15.3049 26.5088i 0.705211 1.22146i
\(472\) −1.90777 0.511186i −0.0878124 0.0235293i
\(473\) 2.11012 + 1.24189i 0.0970234 + 0.0571023i
\(474\) 29.3487 + 16.9445i 1.34803 + 0.778286i
\(475\) −0.435563 + 16.8720i −0.0199850 + 0.774142i
\(476\) 1.92981 2.08775i 0.0884525 0.0956917i
\(477\) 16.3833 + 16.3833i 0.750138 + 0.750138i
\(478\) −2.94729 10.9994i −0.134806 0.503103i
\(479\) 8.65218 + 14.9860i 0.395328 + 0.684728i 0.993143 0.116906i \(-0.0372976\pi\)
−0.597815 + 0.801634i \(0.703964\pi\)
\(480\) −1.58117 + 5.61040i −0.0721704 + 0.256078i
\(481\) 3.30908 + 1.91050i 0.150881 + 0.0871111i
\(482\) −18.2262 18.2262i −0.830182 0.830182i
\(483\) −3.84569 6.09475i −0.174985 0.277321i
\(484\) −5.65837 + 9.43307i −0.257199 + 0.428776i
\(485\) 0.454923 0.764980i 0.0206570 0.0347359i
\(486\) 18.8899 10.9061i 0.856862 0.494710i
\(487\) 0.274754 1.02539i 0.0124503 0.0464651i −0.959421 0.281977i \(-0.909010\pi\)
0.971872 + 0.235512i \(0.0756766\pi\)
\(488\) −2.27882 8.50467i −0.103157 0.384988i
\(489\) 37.2384i 1.68398i
\(490\) 1.02732 + 15.6187i 0.0464095 + 0.705582i
\(491\) 3.65008i 0.164726i −0.996602 0.0823630i \(-0.973753\pi\)
0.996602 0.0823630i \(-0.0262467\pi\)
\(492\) −1.45654 5.43587i −0.0656658 0.245068i
\(493\) 6.88547 + 1.84496i 0.310106 + 0.0830927i
\(494\) 0.557523 + 0.965659i 0.0250842 + 0.0434470i
\(495\) 0.598296 28.1406i 0.0268914 1.26482i
\(496\) 2.38451 0.107068
\(497\) −12.2758 + 7.74583i −0.550644 + 0.347448i
\(498\) −22.0834 + 22.0834i −0.989582 + 0.989582i
\(499\) −30.9223 17.8530i −1.38427 0.799210i −0.391610 0.920131i \(-0.628082\pi\)
−0.992662 + 0.120922i \(0.961415\pi\)
\(500\) 10.6793 + 3.30951i 0.477592 + 0.148006i
\(501\) 42.9028 24.7700i 1.91676 1.10664i
\(502\) −3.56863 13.3183i −0.159276 0.594425i
\(503\) −22.9796 22.9796i −1.02461 1.02461i −0.999689 0.0249219i \(-0.992066\pi\)
−0.0249219 0.999689i \(-0.507934\pi\)
\(504\) 7.37385 + 6.81601i 0.328458 + 0.303609i
\(505\) −9.64913 9.90144i −0.429381 0.440608i
\(506\) 2.47091 2.42997i 0.109845 0.108025i
\(507\) 8.69729 32.4587i 0.386260 1.44154i
\(508\) 2.98170 11.1279i 0.132292 0.493719i
\(509\) 23.4448 + 13.5359i 1.03917 + 0.599967i 0.919599 0.392858i \(-0.128514\pi\)
0.119574 + 0.992825i \(0.461847\pi\)
\(510\) −6.26307 0.0808292i −0.277333 0.00357918i
\(511\) −3.46207 11.1488i −0.153153 0.493194i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 6.75987 1.81130i 0.298456 0.0799709i
\(514\) 9.67428 + 16.7563i 0.426714 + 0.739091i
\(515\) 37.2183 20.8523i 1.64004 0.918863i
\(516\) 1.66660 + 0.962210i 0.0733678 + 0.0423589i
\(517\) 17.8831 10.1266i 0.786498 0.445367i
\(518\) −27.0842 14.2489i −1.19001 0.626061i
\(519\) 64.7752 2.84332
\(520\) 0.715885 0.181952i 0.0313936 0.00797914i
\(521\) 17.7873 + 30.8085i 0.779275 + 1.34974i 0.932360 + 0.361531i \(0.117746\pi\)
−0.153085 + 0.988213i \(0.548921\pi\)
\(522\) −6.51633 + 24.3193i −0.285212 + 1.06443i
\(523\) −4.19084 + 1.12293i −0.183253 + 0.0491024i −0.349278 0.937019i \(-0.613573\pi\)
0.166026 + 0.986121i \(0.446907\pi\)
\(524\) −4.37028 −0.190917
\(525\) 24.0533 24.7108i 1.04977 1.07847i
\(526\) 13.0711 0.569926
\(527\) 0.663174 + 2.47500i 0.0288883 + 0.107813i
\(528\) −4.38525 + 7.45105i −0.190844 + 0.324265i
\(529\) 18.9730 10.9541i 0.824914 0.476265i
\(530\) −13.2299 + 3.36258i −0.574671 + 0.146061i
\(531\) 7.49605 0.325301
\(532\) −4.76578 7.55293i −0.206623 0.327461i
\(533\) −0.504262 + 0.504262i −0.0218420 + 0.0218420i
\(534\) 19.8325 34.3510i 0.858238 1.48651i
\(535\) 5.35525 3.00039i 0.231528 0.129718i
\(536\) 11.0474 6.37822i 0.477175 0.275497i
\(537\) −12.1666 + 3.26002i −0.525026 + 0.140680i
\(538\) 2.66048 + 2.66048i 0.114701 + 0.114701i
\(539\) −4.42034 + 22.7917i −0.190398 + 0.981707i
\(540\) 0.0598251 4.63555i 0.00257446 0.199482i
\(541\) −26.0491 15.0395i −1.11994 0.646597i −0.178553 0.983930i \(-0.557142\pi\)
−0.941385 + 0.337334i \(0.890475\pi\)
\(542\) 4.57765 17.0840i 0.196627 0.733821i
\(543\) 3.29421 + 0.882682i 0.141368 + 0.0378795i
\(544\) 0.930601 + 0.537283i 0.0398992 + 0.0230358i
\(545\) 23.5138 22.9146i 1.00722 0.981554i
\(546\) 0.502758 2.22211i 0.0215161 0.0950974i
\(547\) −12.1692 + 12.1692i −0.520319 + 0.520319i −0.917668 0.397349i \(-0.869930\pi\)
0.397349 + 0.917668i \(0.369930\pi\)
\(548\) −3.47575 12.9717i −0.148477 0.554122i
\(549\) 16.7083 + 28.9397i 0.713094 + 1.23512i
\(550\) 14.0698 + 8.77725i 0.599939 + 0.374263i
\(551\) 11.1962 19.3923i 0.476972 0.826140i
\(552\) 1.92605 1.92605i 0.0819781 0.0819781i
\(553\) 1.35114 + 34.3690i 0.0574564 + 1.46152i
\(554\) 10.1680i 0.431995i
\(555\) 16.6088 + 65.3464i 0.705002 + 2.77380i
\(556\) 3.60522 2.08147i 0.152895 0.0882741i
\(557\) 37.6503 + 10.0884i 1.59529 + 0.427457i 0.943617 0.331040i \(-0.107399\pi\)
0.651676 + 0.758497i \(0.274066\pi\)
\(558\) −8.74162 + 2.34231i −0.370062 + 0.0991579i
\(559\) 0.243863i 0.0103143i
\(560\) −5.67211 + 1.68144i −0.239690 + 0.0710536i
\(561\) −8.95344 2.47940i −0.378015 0.104681i
\(562\) 17.3995 4.66218i 0.733953 0.196662i
\(563\) 9.11640 34.0229i 0.384211 1.43389i −0.455197 0.890391i \(-0.650431\pi\)
0.839408 0.543502i \(-0.182902\pi\)
\(564\) 13.9887 8.07638i 0.589031 0.340077i
\(565\) −25.8843 15.3930i −1.08896 0.647590i
\(566\) −12.0064 −0.504665
\(567\) 14.0055 + 7.36824i 0.588176 + 0.309437i
\(568\) −3.87937 3.87937i −0.162775 0.162775i
\(569\) −6.12229 + 10.6041i −0.256660 + 0.444548i −0.965345 0.260977i \(-0.915955\pi\)
0.708685 + 0.705525i \(0.249289\pi\)
\(570\) −5.33730 + 18.9381i −0.223555 + 0.793228i
\(571\) 3.79952 2.19366i 0.159005 0.0918016i −0.418386 0.908269i \(-0.637404\pi\)
0.577391 + 0.816468i \(0.304071\pi\)
\(572\) 1.09555 + 0.00915113i 0.0458073 + 0.000382628i
\(573\) 23.6560 23.6560i 0.988243 0.988243i
\(574\) 3.87704 4.19435i 0.161825 0.175069i
\(575\) −3.59773 3.78841i −0.150036 0.157988i
\(576\) −1.89767 + 3.28685i −0.0790694 + 0.136952i
\(577\) −11.2990 + 42.1685i −0.470384 + 1.75550i 0.168007 + 0.985786i \(0.446267\pi\)
−0.638391 + 0.769712i \(0.720400\pi\)
\(578\) 4.10107 15.3054i 0.170582 0.636620i
\(579\) 25.4113 44.0136i 1.05606 1.82914i
\(580\) −10.3526 10.6233i −0.429868 0.441109i
\(581\) −30.9161 6.99486i −1.28262 0.290196i
\(582\) 0.733684 0.733684i 0.0304122 0.0304122i
\(583\) −20.2464 0.169118i −0.838518 0.00700414i
\(584\) 3.82121 2.20617i 0.158123 0.0912922i
\(585\) −2.44571 + 1.37026i −0.101117 + 0.0566531i
\(586\) −5.46330 + 9.46271i −0.225687 + 0.390901i
\(587\) −5.97297 5.97297i −0.246531 0.246531i 0.573014 0.819545i \(-0.305774\pi\)
−0.819545 + 0.573014i \(0.805774\pi\)
\(588\) −3.32453 + 17.9421i −0.137101 + 0.739919i
\(589\) 8.04897 0.331652
\(590\) −2.25737 + 3.79590i −0.0929344 + 0.156275i
\(591\) 17.8475 10.3042i 0.734146 0.423859i
\(592\) 2.99379 11.1730i 0.123044 0.459206i
\(593\) −18.2550 + 4.89142i −0.749644 + 0.200866i −0.613360 0.789803i \(-0.710183\pi\)
−0.136284 + 0.990670i \(0.543516\pi\)
\(594\) 1.83511 6.62681i 0.0752955 0.271901i
\(595\) −3.32276 5.41973i −0.136220 0.222187i
\(596\) 5.31416i 0.217677i
\(597\) 7.19985 1.92919i 0.294670 0.0789567i
\(598\) −0.333405 0.0893356i −0.0136339 0.00365321i
\(599\) −0.720090 + 0.415744i −0.0294221 + 0.0169868i −0.514639 0.857407i \(-0.672074\pi\)
0.485217 + 0.874394i \(0.338741\pi\)
\(600\) 11.1158 + 6.80610i 0.453799 + 0.277858i
\(601\) 17.8571i 0.728405i −0.931320 0.364203i \(-0.881342\pi\)
0.931320 0.364203i \(-0.118658\pi\)
\(602\) 0.0767259 + 1.95168i 0.00312712 + 0.0795445i
\(603\) −34.2345 + 34.2345i −1.39414 + 1.39414i
\(604\) 5.27769 9.14123i 0.214746 0.371951i
\(605\) 16.8700 + 17.8998i 0.685862 + 0.727732i
\(606\) −8.05881 13.9583i −0.327367 0.567016i
\(607\) 5.05917 + 18.8811i 0.205345 + 0.766360i 0.989344 + 0.145597i \(0.0465103\pi\)
−0.783998 + 0.620763i \(0.786823\pi\)
\(608\) 2.38686 2.38686i 0.0968000 0.0968000i
\(609\) −43.6939 + 13.5684i −1.77057 + 0.549819i
\(610\) −19.6862 0.254064i −0.797072 0.0102868i
\(611\) −1.77265 1.02344i −0.0717138 0.0414040i
\(612\) −3.93936 1.05555i −0.159239 0.0426681i
\(613\) 11.6246 43.3836i 0.469513 1.75225i −0.171963 0.985103i \(-0.555011\pi\)
0.641476 0.767143i \(-0.278322\pi\)
\(614\) 3.38628 + 1.95507i 0.136659 + 0.0789002i
\(615\) −12.5827 0.162389i −0.507384 0.00654814i
\(616\) −8.77076 + 0.271452i −0.353384 + 0.0109371i
\(617\) 23.9741 + 23.9741i 0.965162 + 0.965162i 0.999413 0.0342513i \(-0.0109047\pi\)
−0.0342513 + 0.999413i \(0.510905\pi\)
\(618\) 48.0399 12.8723i 1.93245 0.517798i
\(619\) −29.9296 + 17.2799i −1.20297 + 0.694537i −0.961215 0.275800i \(-0.911057\pi\)
−0.241758 + 0.970337i \(0.577724\pi\)
\(620\) 1.44635 5.13200i 0.0580868 0.206106i
\(621\) −1.08318 + 1.87612i −0.0434665 + 0.0752861i
\(622\) −2.18713 + 2.18713i −0.0876958 + 0.0876958i
\(623\) 40.2269 1.58143i 1.61166 0.0633587i
\(624\) 0.861106 0.0344718
\(625\) 13.6005 20.9768i 0.544018 0.839073i
\(626\) −8.58757 + 4.95804i −0.343228 + 0.198163i
\(627\) −14.8026 + 25.1512i −0.591157 + 1.00444i
\(628\) 3.03914 + 11.3422i 0.121275 + 0.452604i
\(629\) 12.4296 0.495601
\(630\) 19.1423 11.7359i 0.762647 0.467569i
\(631\) 29.8505 1.18833 0.594166 0.804343i \(-0.297482\pi\)
0.594166 + 0.804343i \(0.297482\pi\)
\(632\) −12.5573 + 3.36472i −0.499504 + 0.133842i
\(633\) 4.86522 18.1572i 0.193375 0.721685i
\(634\) 11.7748 + 20.3946i 0.467638 + 0.809973i
\(635\) −22.1411 13.1670i −0.878643 0.522518i
\(636\) −15.9137 −0.631019
\(637\) 2.17966 0.771969i 0.0863613 0.0305865i
\(638\) −10.8412 19.1451i −0.429209 0.757963i
\(639\) 18.0325 + 10.4111i 0.713355 + 0.411856i
\(640\) −1.09295 1.95076i −0.0432027 0.0771105i
\(641\) −3.62166 6.27290i −0.143047 0.247765i 0.785596 0.618740i \(-0.212357\pi\)
−0.928643 + 0.370976i \(0.879023\pi\)
\(642\) 6.91235 1.85216i 0.272809 0.0730988i
\(643\) −2.14204 + 2.14204i −0.0844738 + 0.0844738i −0.748081 0.663607i \(-0.769025\pi\)
0.663607 + 0.748081i \(0.269025\pi\)
\(644\) 2.69641 + 0.610071i 0.106253 + 0.0240402i
\(645\) 3.08179 3.00326i 0.121345 0.118253i
\(646\) 3.14127 + 1.81361i 0.123592 + 0.0713557i
\(647\) 9.27420 34.6118i 0.364607 1.36073i −0.503347 0.864084i \(-0.667898\pi\)
0.867953 0.496646i \(-0.165435\pi\)
\(648\) −1.54812 + 5.77765i −0.0608157 + 0.226967i
\(649\) −4.67048 + 4.59310i −0.183332 + 0.180295i
\(650\) 0.0426246 1.65111i 0.00167187 0.0647619i
\(651\) −12.0767 11.1631i −0.473324 0.437516i
\(652\) 10.1012 + 10.1012i 0.395592 + 0.395592i
\(653\) 8.44826 + 31.5293i 0.330606 + 1.23384i 0.908555 + 0.417766i \(0.137187\pi\)
−0.577949 + 0.816073i \(0.696147\pi\)
\(654\) 33.1479 19.1379i 1.29618 0.748353i
\(655\) −2.65084 + 9.40584i −0.103577 + 0.367516i
\(656\) 1.86961 + 1.07942i 0.0729960 + 0.0421442i
\(657\) −11.8414 + 11.8414i −0.461978 + 0.461978i
\(658\) 14.5088 + 7.63305i 0.565614 + 0.297567i
\(659\) −14.3397 −0.558594 −0.279297 0.960205i \(-0.590101\pi\)
−0.279297 + 0.960205i \(0.590101\pi\)
\(660\) 13.3764 + 13.9576i 0.520677 + 0.543298i
\(661\) −5.59619 9.69289i −0.217667 0.377010i 0.736428 0.676516i \(-0.236511\pi\)
−0.954094 + 0.299507i \(0.903178\pi\)
\(662\) 7.52074 + 2.01518i 0.292302 + 0.0783221i
\(663\) 0.239489 + 0.893785i 0.00930098 + 0.0347117i
\(664\) 11.9805i 0.464935i
\(665\) −19.1464 + 5.67573i −0.742464 + 0.220096i
\(666\) 43.9010i 1.70113i
\(667\) 1.79403 + 6.69543i 0.0694653 + 0.259248i
\(668\) −4.91865 + 18.3567i −0.190308 + 0.710241i
\(669\) −34.2808 + 19.7921i −1.32537 + 0.765205i
\(670\) −7.02646 27.6453i −0.271456 1.06803i
\(671\) −28.1427 7.79333i −1.08644 0.300858i
\(672\) −6.89158 + 0.270927i −0.265849 + 0.0104512i
\(673\) −7.94043 7.94043i −0.306081 0.306081i 0.537306 0.843387i \(-0.319442\pi\)
−0.843387 + 0.537306i \(0.819442\pi\)
\(674\) 9.54713 + 5.51204i 0.367742 + 0.212316i
\(675\) −9.94048 2.94050i −0.382609 0.113180i
\(676\) 6.44544 + 11.1638i 0.247902 + 0.429378i
\(677\) 12.4058 + 46.2991i 0.476794 + 1.77942i 0.614468 + 0.788942i \(0.289371\pi\)
−0.137674 + 0.990478i \(0.543963\pi\)
\(678\) −24.8253 24.8253i −0.953410 0.953410i
\(679\) 1.02713 + 0.232392i 0.0394178 + 0.00891839i
\(680\) 1.72082 1.67697i 0.0659905 0.0643089i
\(681\) 59.3204 + 34.2486i 2.27316 + 1.31241i
\(682\) 4.01133 6.81571i 0.153602 0.260987i
\(683\) −21.1454 5.66590i −0.809108 0.216800i −0.169529 0.985525i \(-0.554225\pi\)
−0.639579 + 0.768725i \(0.720891\pi\)
\(684\) −6.40562 + 11.0949i −0.244925 + 0.424223i
\(685\) −30.0262 0.387510i −1.14724 0.0148060i
\(686\) −17.2013 + 6.86399i −0.656750 + 0.262068i
\(687\) 41.8582 + 41.8582i 1.59699 + 1.59699i
\(688\) −0.713080 + 0.191069i −0.0271859 + 0.00728445i
\(689\) 1.00829 + 1.74641i 0.0384129 + 0.0665331i
\(690\) −2.97703 5.31357i −0.113334 0.202284i
\(691\) 4.39196 7.60709i 0.167078 0.289387i −0.770313 0.637666i \(-0.779900\pi\)
0.937391 + 0.348278i \(0.113234\pi\)
\(692\) −17.5707 + 17.5707i −0.667937 + 0.667937i
\(693\) 31.8870 9.61070i 1.21129 0.365080i
\(694\) 28.0795i 1.06588i
\(695\) −2.29302 9.02178i −0.0869791 0.342216i
\(696\) −8.64634 14.9759i −0.327739 0.567660i
\(697\) −0.600412 + 2.24077i −0.0227422 + 0.0848751i
\(698\) −9.57944 35.7510i −0.362587 1.35319i
\(699\) 43.4559 1.64365
\(700\) 0.178352 + 13.2276i 0.00674108 + 0.499955i
\(701\) 21.5645i 0.814481i −0.913321 0.407240i \(-0.866491\pi\)
0.913321 0.407240i \(-0.133509\pi\)
\(702\) −0.661527 + 0.177256i −0.0249677 + 0.00669008i
\(703\) 10.1056 37.7147i 0.381141 1.42244i
\(704\) −0.831617 3.21067i −0.0313427 0.121007i
\(705\) −8.89721 35.0057i −0.335088 1.31839i
\(706\) 4.05653i 0.152669i
\(707\) 7.61645 14.4773i 0.286446 0.544474i
\(708\) −3.64060 + 3.64060i −0.136822 + 0.136822i
\(709\) −0.491298 0.283651i −0.0184511 0.0106527i 0.490746 0.871303i \(-0.336724\pi\)
−0.509197 + 0.860650i \(0.670058\pi\)
\(710\) −10.7024 + 5.99621i −0.401652 + 0.225034i
\(711\) 42.7301 24.6702i 1.60250 0.925205i
\(712\) 3.93821 + 14.6976i 0.147591 + 0.550816i
\(713\) −1.76182 + 1.76182i −0.0659806 + 0.0659806i
\(714\) −2.19788 7.07777i −0.0822537 0.264879i
\(715\) 0.684214 2.35232i 0.0255881 0.0879719i
\(716\) 2.41595 4.18455i 0.0902884 0.156384i
\(717\) −28.6732 7.68295i −1.07082 0.286925i
\(718\) −20.1361 5.39546i −0.751473 0.201357i
\(719\) 12.6238 + 7.28836i 0.470788 + 0.271810i 0.716570 0.697515i \(-0.245711\pi\)
−0.245781 + 0.969325i \(0.579044\pi\)
\(720\) 5.92300 + 6.07788i 0.220737 + 0.226509i
\(721\) 37.0679 + 34.2637i 1.38048 + 1.27605i
\(722\) −5.37811 + 5.37811i −0.200153 + 0.200153i
\(723\) −64.9024 + 17.3906i −2.41375 + 0.646762i
\(724\) −1.13301 + 0.654143i −0.0421079 + 0.0243110i
\(725\) −29.1433 + 15.8375i −1.08235 + 0.588189i
\(726\) 13.9205 + 25.0690i 0.516638 + 0.930398i
\(727\) 19.9149 + 19.9149i 0.738604 + 0.738604i 0.972308 0.233704i \(-0.0750846\pi\)
−0.233704 + 0.972308i \(0.575085\pi\)
\(728\) 0.466384 + 0.739136i 0.0172853 + 0.0273942i
\(729\) 38.9152i 1.44130i
\(730\) −2.43039 9.56229i −0.0899529 0.353916i
\(731\) −0.396641 0.687002i −0.0146703 0.0254097i
\(732\) −22.1698 5.94039i −0.819421 0.219563i
\(733\) 11.6627 3.12501i 0.430772 0.115425i −0.0369164 0.999318i \(-0.511754\pi\)
0.467689 + 0.883893i \(0.345087\pi\)
\(734\) −26.5438 −0.979749
\(735\) 36.5989 + 18.0381i 1.34997 + 0.665346i
\(736\) 1.04491i 0.0385158i
\(737\) 0.353389 42.3069i 0.0130173 1.55839i
\(738\) −7.91432 2.12063i −0.291330 0.0780617i
\(739\) −19.8968 34.4622i −0.731915 1.26771i −0.956064 0.293159i \(-0.905293\pi\)
0.224148 0.974555i \(-0.428040\pi\)
\(740\) −22.2309 13.2204i −0.817223 0.485992i
\(741\) 2.90669 0.106780
\(742\) −8.61902 13.6596i −0.316414 0.501461i
\(743\) 31.1550 + 31.1550i 1.14297 + 1.14297i 0.987905 + 0.155061i \(0.0495574\pi\)
0.155061 + 0.987905i \(0.450443\pi\)
\(744\) 3.10795 5.38313i 0.113943 0.197355i
\(745\) −11.4373 3.22336i −0.419030 0.118095i
\(746\) −16.6501 28.8387i −0.609602 1.05586i
\(747\) 11.7685 + 43.9207i 0.430588 + 1.60698i
\(748\) 3.10123 1.75612i 0.113392 0.0642102i
\(749\) 5.33361 + 4.93012i 0.194886 + 0.180142i
\(750\) 21.3907 19.7953i 0.781077 0.722824i
\(751\) −5.58962 + 9.68151i −0.203968 + 0.353283i −0.949803 0.312847i \(-0.898717\pi\)
0.745835 + 0.666130i \(0.232051\pi\)
\(752\) −1.60375 + 5.98529i −0.0584829 + 0.218261i
\(753\) −34.7180 9.30265i −1.26519 0.339008i
\(754\) −1.09567 + 1.89775i −0.0399018 + 0.0691120i
\(755\) −16.4728 16.9035i −0.599505 0.615182i
\(756\) 5.23855 1.62674i 0.190524 0.0591641i
\(757\) 8.94506 + 8.94506i 0.325114 + 0.325114i 0.850725 0.525611i \(-0.176163\pi\)
−0.525611 + 0.850725i \(0.676163\pi\)
\(758\) 32.5375 8.71839i 1.18181 0.316666i
\(759\) −2.26520 8.74538i −0.0822214 0.317437i
\(760\) −3.68929 6.58484i −0.133825 0.238857i
\(761\) 12.0174 + 6.93823i 0.435629 + 0.251511i 0.701742 0.712431i \(-0.252406\pi\)
−0.266113 + 0.963942i \(0.585739\pi\)
\(762\) −21.2353 21.2353i −0.769274 0.769274i
\(763\) 34.3804 + 18.0874i 1.24466 + 0.654809i
\(764\) 12.8337i 0.464306i
\(765\) −4.66125 + 7.83815i −0.168528 + 0.283389i
\(766\) 2.88413 1.66515i 0.104208 0.0601644i
\(767\) 0.630199 + 0.168861i 0.0227552 + 0.00609723i
\(768\) −0.674686 2.51796i −0.0243456 0.0908591i
\(769\) 24.0164 0.866053 0.433026 0.901381i \(-0.357446\pi\)
0.433026 + 0.901381i \(0.357446\pi\)
\(770\) −4.73578 + 19.0413i −0.170666 + 0.686202i
\(771\) 50.4376 1.81646
\(772\) 5.04600 + 18.8319i 0.181609 + 0.677776i
\(773\) 9.44141 + 2.52982i 0.339584 + 0.0909912i 0.424581