Properties

Label 273.2.bn.c.230.7
Level $273$
Weight $2$
Character 273.230
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 230.7
Character \(\chi\) \(=\) 273.230
Dual form 273.2.bn.c.146.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.43804 - 0.830256i) q^{2} +(-1.23680 - 1.21257i) q^{3} +(0.378649 + 0.655839i) q^{4} -1.88889 q^{5} +(0.771823 + 2.77059i) q^{6} +(0.896028 + 2.48940i) q^{7} +2.06352i q^{8} +(0.0593312 + 2.99941i) q^{9} +O(q^{10})\) \(q+(-1.43804 - 0.830256i) q^{2} +(-1.23680 - 1.21257i) q^{3} +(0.378649 + 0.655839i) q^{4} -1.88889 q^{5} +(0.771823 + 2.77059i) q^{6} +(0.896028 + 2.48940i) q^{7} +2.06352i q^{8} +(0.0593312 + 2.99941i) q^{9} +(2.71631 + 1.56826i) q^{10} +(-1.52869 - 0.882590i) q^{11} +(0.326941 - 1.27028i) q^{12} +(3.51996 - 0.780953i) q^{13} +(0.778314 - 4.32381i) q^{14} +(2.33618 + 2.29042i) q^{15} +(2.47055 - 4.27911i) q^{16} +(-1.02971 - 1.78351i) q^{17} +(2.40496 - 4.36255i) q^{18} +(-1.72776 + 0.997525i) q^{19} +(-0.715226 - 1.23881i) q^{20} +(1.91038 - 4.16539i) q^{21} +(1.46555 + 2.53841i) q^{22} +(4.43873 + 2.56270i) q^{23} +(2.50217 - 2.55216i) q^{24} -1.43208 q^{25} +(-5.71025 - 1.79942i) q^{26} +(3.56363 - 3.78161i) q^{27} +(-1.29337 + 1.53026i) q^{28} +(7.27489 + 4.20016i) q^{29} +(-1.45789 - 5.23335i) q^{30} +8.13951i q^{31} +(-3.53139 + 2.03885i) q^{32} +(0.820474 + 2.94523i) q^{33} +3.41969i q^{34} +(-1.69250 - 4.70222i) q^{35} +(-1.94467 + 1.17464i) q^{36} +(2.24827 - 3.89412i) q^{37} +3.31280 q^{38} +(-5.30044 - 3.30233i) q^{39} -3.89777i q^{40} +(-4.68779 + 8.11949i) q^{41} +(-6.20555 + 4.40391i) q^{42} +(2.05277 + 3.55550i) q^{43} -1.33677i q^{44} +(-0.112070 - 5.66557i) q^{45} +(-4.25539 - 7.37055i) q^{46} +8.61967 q^{47} +(-8.24430 + 2.29667i) q^{48} +(-5.39427 + 4.46115i) q^{49} +(2.05940 + 1.18900i) q^{50} +(-0.889095 + 3.45444i) q^{51} +(1.84501 + 2.01282i) q^{52} -6.33510i q^{53} +(-8.26436 + 2.47940i) q^{54} +(2.88753 + 1.66712i) q^{55} +(-5.13694 + 1.84897i) q^{56} +(3.34646 + 0.861305i) q^{57} +(-6.97441 - 12.0800i) q^{58} +(7.51654 + 13.0190i) q^{59} +(-0.617557 + 2.39942i) q^{60} +(-1.61214 + 0.930768i) q^{61} +(6.75788 - 11.7050i) q^{62} +(-7.41359 + 2.83526i) q^{63} -3.11113 q^{64} +(-6.64883 + 1.47514i) q^{65} +(1.26542 - 4.91658i) q^{66} +(-1.79822 + 3.11462i) q^{67} +(0.779796 - 1.35065i) q^{68} +(-2.38234 - 8.55182i) q^{69} +(-1.47015 + 8.16721i) q^{70} +(-7.21819 + 4.16742i) q^{71} +(-6.18936 + 0.122431i) q^{72} +1.58244i q^{73} +(-6.46623 + 3.73328i) q^{74} +(1.77120 + 1.73651i) q^{75} +(-1.30843 - 0.755423i) q^{76} +(0.827374 - 4.59636i) q^{77} +(4.88049 + 9.14961i) q^{78} -3.51118 q^{79} +(-4.66660 + 8.08279i) q^{80} +(-8.99296 + 0.355917i) q^{81} +(13.4825 - 7.78412i) q^{82} -5.69977 q^{83} +(3.45518 - 0.324315i) q^{84} +(1.94501 + 3.36886i) q^{85} -6.81729i q^{86} +(-3.90456 - 14.0161i) q^{87} +(1.82124 - 3.15449i) q^{88} +(3.64016 - 6.30494i) q^{89} +(-4.54271 + 8.24039i) q^{90} +(5.09809 + 8.06285i) q^{91} +3.88145i q^{92} +(9.86976 - 10.0669i) q^{93} +(-12.3955 - 7.15653i) q^{94} +(3.26356 - 1.88422i) q^{95} +(6.83987 + 1.76043i) q^{96} +(3.28378 - 1.89589i) q^{97} +(11.4611 - 1.93671i) q^{98} +(2.55655 - 4.63754i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 10q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 10q^{9} - 18q^{15} - 16q^{16} + 8q^{18} - 44q^{21} - 32q^{22} + 48q^{25} + 40q^{28} - 40q^{30} - 6q^{36} + 12q^{37} - 12q^{42} + 40q^{43} - 36q^{46} - 24q^{49} - 28q^{51} - 68q^{57} - 116q^{60} + 4q^{63} - 48q^{64} - 28q^{67} - 64q^{70} + 62q^{72} - 2q^{78} + 56q^{79} + 10q^{81} + 28q^{85} + 80q^{88} - 16q^{91} + 46q^{93} - 32q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.43804 0.830256i −1.01685 0.587079i −0.103661 0.994613i \(-0.533056\pi\)
−0.913190 + 0.407533i \(0.866389\pi\)
\(3\) −1.23680 1.21257i −0.714065 0.700080i
\(4\) 0.378649 + 0.655839i 0.189324 + 0.327919i
\(5\) −1.88889 −0.844738 −0.422369 0.906424i \(-0.638801\pi\)
−0.422369 + 0.906424i \(0.638801\pi\)
\(6\) 0.771823 + 2.77059i 0.315095 + 1.13109i
\(7\) 0.896028 + 2.48940i 0.338667 + 0.940906i
\(8\) 2.06352i 0.729565i
\(9\) 0.0593312 + 2.99941i 0.0197771 + 0.999804i
\(10\) 2.71631 + 1.56826i 0.858973 + 0.495928i
\(11\) −1.52869 0.882590i −0.460918 0.266111i 0.251512 0.967854i \(-0.419072\pi\)
−0.712430 + 0.701743i \(0.752405\pi\)
\(12\) 0.326941 1.27028i 0.0943798 0.366698i
\(13\) 3.51996 0.780953i 0.976261 0.216597i
\(14\) 0.778314 4.32381i 0.208013 1.15559i
\(15\) 2.33618 + 2.29042i 0.603198 + 0.591384i
\(16\) 2.47055 4.27911i 0.617637 1.06978i
\(17\) −1.02971 1.78351i −0.249741 0.432565i 0.713713 0.700439i \(-0.247012\pi\)
−0.963454 + 0.267874i \(0.913679\pi\)
\(18\) 2.40496 4.36255i 0.566854 1.02826i
\(19\) −1.72776 + 0.997525i −0.396376 + 0.228848i −0.684919 0.728619i \(-0.740163\pi\)
0.288543 + 0.957467i \(0.406829\pi\)
\(20\) −0.715226 1.23881i −0.159929 0.277006i
\(21\) 1.91038 4.16539i 0.416879 0.908962i
\(22\) 1.46555 + 2.53841i 0.312457 + 0.541191i
\(23\) 4.43873 + 2.56270i 0.925538 + 0.534360i 0.885398 0.464834i \(-0.153886\pi\)
0.0401406 + 0.999194i \(0.487219\pi\)
\(24\) 2.50217 2.55216i 0.510754 0.520957i
\(25\) −1.43208 −0.286417
\(26\) −5.71025 1.79942i −1.11987 0.352895i
\(27\) 3.56363 3.78161i 0.685821 0.727771i
\(28\) −1.29337 + 1.53026i −0.244424 + 0.289192i
\(29\) 7.27489 + 4.20016i 1.35091 + 0.779950i 0.988377 0.152020i \(-0.0485778\pi\)
0.362536 + 0.931970i \(0.381911\pi\)
\(30\) −1.45789 5.23335i −0.266173 0.955475i
\(31\) 8.13951i 1.46190i 0.682431 + 0.730950i \(0.260923\pi\)
−0.682431 + 0.730950i \(0.739077\pi\)
\(32\) −3.53139 + 2.03885i −0.624268 + 0.360421i
\(33\) 0.820474 + 2.94523i 0.142826 + 0.512700i
\(34\) 3.41969i 0.586472i
\(35\) −1.69250 4.70222i −0.286085 0.794820i
\(36\) −1.94467 + 1.17464i −0.324111 + 0.195773i
\(37\) 2.24827 3.89412i 0.369614 0.640190i −0.619891 0.784688i \(-0.712823\pi\)
0.989505 + 0.144498i \(0.0461567\pi\)
\(38\) 3.31280 0.537407
\(39\) −5.30044 3.30233i −0.848749 0.528796i
\(40\) 3.89777i 0.616292i
\(41\) −4.68779 + 8.11949i −0.732109 + 1.26805i 0.223871 + 0.974619i \(0.428131\pi\)
−0.955980 + 0.293432i \(0.905203\pi\)
\(42\) −6.20555 + 4.40391i −0.957537 + 0.679538i
\(43\) 2.05277 + 3.55550i 0.313044 + 0.542209i 0.979020 0.203765i \(-0.0653178\pi\)
−0.665975 + 0.745974i \(0.731984\pi\)
\(44\) 1.33677i 0.201525i
\(45\) −0.112070 5.66557i −0.0167064 0.844573i
\(46\) −4.25539 7.37055i −0.627423 1.08673i
\(47\) 8.61967 1.25731 0.628654 0.777685i \(-0.283606\pi\)
0.628654 + 0.777685i \(0.283606\pi\)
\(48\) −8.24430 + 2.29667i −1.18996 + 0.331496i
\(49\) −5.39427 + 4.46115i −0.770610 + 0.637307i
\(50\) 2.05940 + 1.18900i 0.291243 + 0.168149i
\(51\) −0.889095 + 3.45444i −0.124498 + 0.483718i
\(52\) 1.84501 + 2.01282i 0.255856 + 0.279128i
\(53\) 6.33510i 0.870192i −0.900384 0.435096i \(-0.856714\pi\)
0.900384 0.435096i \(-0.143286\pi\)
\(54\) −8.26436 + 2.47940i −1.12464 + 0.337403i
\(55\) 2.88753 + 1.66712i 0.389355 + 0.224794i
\(56\) −5.13694 + 1.84897i −0.686453 + 0.247079i
\(57\) 3.34646 + 0.861305i 0.443250 + 0.114083i
\(58\) −6.97441 12.0800i −0.915785 1.58619i
\(59\) 7.51654 + 13.0190i 0.978570 + 1.69493i 0.667612 + 0.744509i \(0.267316\pi\)
0.310958 + 0.950424i \(0.399350\pi\)
\(60\) −0.617557 + 2.39942i −0.0797262 + 0.309764i
\(61\) −1.61214 + 0.930768i −0.206413 + 0.119173i −0.599643 0.800267i \(-0.704691\pi\)
0.393230 + 0.919440i \(0.371358\pi\)
\(62\) 6.75788 11.7050i 0.858251 1.48653i
\(63\) −7.41359 + 2.83526i −0.934025 + 0.357209i
\(64\) −3.11113 −0.388891
\(65\) −6.64883 + 1.47514i −0.824685 + 0.182968i
\(66\) 1.26542 4.91658i 0.155762 0.605190i
\(67\) −1.79822 + 3.11462i −0.219688 + 0.380511i −0.954713 0.297530i \(-0.903837\pi\)
0.735024 + 0.678041i \(0.237171\pi\)
\(68\) 0.779796 1.35065i 0.0945642 0.163790i
\(69\) −2.38234 8.55182i −0.286800 1.02952i
\(70\) −1.47015 + 8.16721i −0.175717 + 0.976168i
\(71\) −7.21819 + 4.16742i −0.856641 + 0.494582i −0.862886 0.505398i \(-0.831346\pi\)
0.00624484 + 0.999981i \(0.498012\pi\)
\(72\) −6.18936 + 0.122431i −0.729423 + 0.0144286i
\(73\) 1.58244i 0.185210i 0.995703 + 0.0926051i \(0.0295194\pi\)
−0.995703 + 0.0926051i \(0.970481\pi\)
\(74\) −6.46623 + 3.73328i −0.751684 + 0.433985i
\(75\) 1.77120 + 1.73651i 0.204520 + 0.200515i
\(76\) −1.30843 0.755423i −0.150087 0.0866529i
\(77\) 0.827374 4.59636i 0.0942881 0.523803i
\(78\) 4.88049 + 9.14961i 0.552606 + 1.03599i
\(79\) −3.51118 −0.395039 −0.197519 0.980299i \(-0.563289\pi\)
−0.197519 + 0.980299i \(0.563289\pi\)
\(80\) −4.66660 + 8.08279i −0.521742 + 0.903683i
\(81\) −8.99296 + 0.355917i −0.999218 + 0.0395464i
\(82\) 13.4825 7.78412i 1.48889 0.859613i
\(83\) −5.69977 −0.625631 −0.312815 0.949814i \(-0.601272\pi\)
−0.312815 + 0.949814i \(0.601272\pi\)
\(84\) 3.45518 0.324315i 0.376991 0.0353857i
\(85\) 1.94501 + 3.36886i 0.210966 + 0.365404i
\(86\) 6.81729i 0.735128i
\(87\) −3.90456 14.0161i −0.418612 1.50268i
\(88\) 1.82124 3.15449i 0.194145 0.336270i
\(89\) 3.64016 6.30494i 0.385856 0.668323i −0.606031 0.795441i \(-0.707239\pi\)
0.991888 + 0.127118i \(0.0405727\pi\)
\(90\) −4.54271 + 8.24039i −0.478844 + 0.868613i
\(91\) 5.09809 + 8.06285i 0.534425 + 0.845216i
\(92\) 3.88145i 0.404669i
\(93\) 9.86976 10.0669i 1.02345 1.04389i
\(94\) −12.3955 7.15653i −1.27849 0.738139i
\(95\) 3.26356 1.88422i 0.334834 0.193317i
\(96\) 6.83987 + 1.76043i 0.698091 + 0.179673i
\(97\) 3.28378 1.89589i 0.333418 0.192499i −0.323940 0.946078i \(-0.605008\pi\)
0.657357 + 0.753579i \(0.271674\pi\)
\(98\) 11.4611 1.93671i 1.15775 0.195638i
\(99\) 2.55655 4.63754i 0.256943 0.466090i
\(100\) −0.542257 0.939216i −0.0542257 0.0939216i
\(101\) −3.84960 + 6.66771i −0.383050 + 0.663462i −0.991497 0.130133i \(-0.958460\pi\)
0.608447 + 0.793595i \(0.291793\pi\)
\(102\) 4.14662 4.22946i 0.410577 0.418779i
\(103\) 7.66285i 0.755043i 0.926001 + 0.377522i \(0.123224\pi\)
−0.926001 + 0.377522i \(0.876776\pi\)
\(104\) 1.61151 + 7.26351i 0.158022 + 0.712246i
\(105\) −3.60851 + 7.86797i −0.352154 + 0.767835i
\(106\) −5.25975 + 9.11015i −0.510872 + 0.884856i
\(107\) −5.72263 3.30396i −0.553228 0.319406i 0.197195 0.980364i \(-0.436817\pi\)
−0.750423 + 0.660958i \(0.770150\pi\)
\(108\) 3.82949 + 0.905265i 0.368492 + 0.0871091i
\(109\) 15.7698 1.51047 0.755235 0.655454i \(-0.227523\pi\)
0.755235 + 0.655454i \(0.227523\pi\)
\(110\) −2.76827 4.79478i −0.263944 0.457164i
\(111\) −7.50257 + 2.09004i −0.712112 + 0.198378i
\(112\) 12.8661 + 2.31599i 1.21573 + 0.218840i
\(113\) 9.60307 5.54433i 0.903380 0.521567i 0.0250851 0.999685i \(-0.492014\pi\)
0.878295 + 0.478118i \(0.158681\pi\)
\(114\) −4.09726 4.01702i −0.383744 0.376228i
\(115\) −8.38428 4.84066i −0.781838 0.451394i
\(116\) 6.36154i 0.590654i
\(117\) 2.55124 + 10.5115i 0.235863 + 0.971786i
\(118\) 24.9626i 2.29799i
\(119\) 3.51723 4.16144i 0.322424 0.381478i
\(120\) −4.72633 + 4.82075i −0.431453 + 0.440072i
\(121\) −3.94207 6.82786i −0.358370 0.620715i
\(122\) 3.09110 0.279855
\(123\) 15.6433 4.35787i 1.41051 0.392935i
\(124\) −5.33821 + 3.08201i −0.479385 + 0.276773i
\(125\) 12.1495 1.08669
\(126\) 13.0151 + 2.07795i 1.15947 + 0.185118i
\(127\) −2.91516 + 5.04921i −0.258679 + 0.448045i −0.965888 0.258959i \(-0.916620\pi\)
0.707209 + 0.707004i \(0.249954\pi\)
\(128\) 11.5367 + 6.66073i 1.01971 + 0.588731i
\(129\) 1.77245 6.88657i 0.156055 0.606328i
\(130\) 10.7860 + 3.39891i 0.945999 + 0.298104i
\(131\) 6.73347 0.588306 0.294153 0.955758i \(-0.404962\pi\)
0.294153 + 0.955758i \(0.404962\pi\)
\(132\) −1.62093 + 1.65331i −0.141084 + 0.143902i
\(133\) −4.03137 3.40729i −0.349564 0.295450i
\(134\) 5.17186 2.98597i 0.446780 0.257949i
\(135\) −6.73131 + 7.14305i −0.579339 + 0.614776i
\(136\) 3.68031 2.12483i 0.315584 0.182203i
\(137\) 4.71760 2.72371i 0.403052 0.232702i −0.284748 0.958602i \(-0.591910\pi\)
0.687800 + 0.725900i \(0.258577\pi\)
\(138\) −3.67428 + 14.2758i −0.312776 + 1.21524i
\(139\) −5.70542 + 3.29403i −0.483928 + 0.279396i −0.722052 0.691839i \(-0.756801\pi\)
0.238124 + 0.971235i \(0.423468\pi\)
\(140\) 2.44303 2.89049i 0.206474 0.244291i
\(141\) −10.6608 10.4520i −0.897799 0.880215i
\(142\) 13.8401 1.16144
\(143\) −6.07019 1.91285i −0.507615 0.159960i
\(144\) 12.9814 + 7.15631i 1.08178 + 0.596359i
\(145\) −13.7415 7.93365i −1.14117 0.658854i
\(146\) 1.31383 2.27562i 0.108733 0.188331i
\(147\) 12.0811 + 1.02341i 0.996431 + 0.0844095i
\(148\) 3.40522 0.279907
\(149\) −6.82922 + 3.94285i −0.559471 + 0.323011i −0.752933 0.658097i \(-0.771362\pi\)
0.193462 + 0.981108i \(0.438028\pi\)
\(150\) −1.10532 3.96772i −0.0902486 0.323963i
\(151\) −22.0280 −1.79262 −0.896308 0.443433i \(-0.853761\pi\)
−0.896308 + 0.443433i \(0.853761\pi\)
\(152\) −2.05841 3.56528i −0.166959 0.289182i
\(153\) 5.28839 3.19434i 0.427541 0.258247i
\(154\) −5.00595 + 5.92283i −0.403391 + 0.477276i
\(155\) 15.3747i 1.23492i
\(156\) 0.158792 4.72665i 0.0127136 0.378435i
\(157\) 6.90649i 0.551198i 0.961273 + 0.275599i \(0.0888762\pi\)
−0.961273 + 0.275599i \(0.911124\pi\)
\(158\) 5.04924 + 2.91518i 0.401696 + 0.231919i
\(159\) −7.68177 + 7.83522i −0.609204 + 0.621374i
\(160\) 6.67042 3.85117i 0.527343 0.304462i
\(161\) −2.40237 + 13.3460i −0.189334 + 1.05181i
\(162\) 13.2278 + 6.95463i 1.03927 + 0.546407i
\(163\) 5.90872 + 10.2342i 0.462806 + 0.801604i 0.999100 0.0424277i \(-0.0135092\pi\)
−0.536293 + 0.844032i \(0.680176\pi\)
\(164\) −7.10010 −0.554424
\(165\) −1.54979 5.56323i −0.120651 0.433097i
\(166\) 8.19652 + 4.73226i 0.636174 + 0.367295i
\(167\) −10.4395 + 18.0817i −0.807831 + 1.39920i 0.106532 + 0.994309i \(0.466025\pi\)
−0.914363 + 0.404895i \(0.867308\pi\)
\(168\) 8.59537 + 3.94211i 0.663147 + 0.304141i
\(169\) 11.7802 5.49784i 0.906171 0.422911i
\(170\) 6.45943i 0.495415i
\(171\) −3.09450 5.12309i −0.236642 0.391773i
\(172\) −1.55456 + 2.69257i −0.118534 + 0.205307i
\(173\) −7.08432 12.2704i −0.538611 0.932902i −0.998979 0.0451736i \(-0.985616\pi\)
0.460368 0.887728i \(-0.347717\pi\)
\(174\) −6.02200 + 23.3975i −0.456527 + 1.77376i
\(175\) −1.28319 3.56504i −0.0969999 0.269492i
\(176\) −7.55341 + 4.36096i −0.569360 + 0.328720i
\(177\) 6.49010 25.2162i 0.487826 1.89537i
\(178\) −10.4694 + 6.04453i −0.784717 + 0.453057i
\(179\) 4.21150 + 2.43151i 0.314782 + 0.181740i 0.649065 0.760733i \(-0.275161\pi\)
−0.334282 + 0.942473i \(0.608494\pi\)
\(180\) 3.67326 2.21876i 0.273789 0.165377i
\(181\) 22.3828i 1.66370i −0.555002 0.831849i \(-0.687282\pi\)
0.555002 0.831849i \(-0.312718\pi\)
\(182\) −0.637057 15.8275i −0.0472218 1.17321i
\(183\) 3.12251 + 0.803664i 0.230823 + 0.0594086i
\(184\) −5.28819 + 9.15941i −0.389850 + 0.675241i
\(185\) −4.24675 + 7.35558i −0.312227 + 0.540793i
\(186\) −22.5513 + 6.28226i −1.65354 + 0.460638i
\(187\) 3.63525i 0.265836i
\(188\) 3.26382 + 5.65311i 0.238039 + 0.412295i
\(189\) 12.6071 + 5.48289i 0.917029 + 0.398821i
\(190\) −6.25753 −0.453969
\(191\) −13.9180 + 8.03555i −1.00707 + 0.581432i −0.910332 0.413878i \(-0.864174\pi\)
−0.0967376 + 0.995310i \(0.530841\pi\)
\(192\) 3.84783 + 3.77247i 0.277693 + 0.272254i
\(193\) 4.49996 7.79416i 0.323914 0.561036i −0.657378 0.753561i \(-0.728334\pi\)
0.981292 + 0.192525i \(0.0616677\pi\)
\(194\) −6.29630 −0.452048
\(195\) 10.0120 + 6.23775i 0.716971 + 0.446694i
\(196\) −4.96833 1.84856i −0.354880 0.132040i
\(197\) −12.0190 6.93917i −0.856318 0.494396i 0.00645936 0.999979i \(-0.497944\pi\)
−0.862778 + 0.505584i \(0.831277\pi\)
\(198\) −7.52678 + 4.54640i −0.534905 + 0.323099i
\(199\) 16.3768 9.45513i 1.16092 0.670256i 0.209394 0.977831i \(-0.432851\pi\)
0.951524 + 0.307575i \(0.0995176\pi\)
\(200\) 2.95514i 0.208960i
\(201\) 6.00074 1.67167i 0.423260 0.117910i
\(202\) 11.0718 6.39231i 0.779010 0.449761i
\(203\) −3.93739 + 21.8736i −0.276351 + 1.53523i
\(204\) −2.60221 + 0.724915i −0.182191 + 0.0507542i
\(205\) 8.85473 15.3368i 0.618441 1.07117i
\(206\) 6.36213 11.0195i 0.443270 0.767767i
\(207\) −7.42324 + 13.4656i −0.515951 + 0.935925i
\(208\) 5.35444 16.9917i 0.371264 1.17816i
\(209\) 3.52162 0.243596
\(210\) 11.7216 8.31851i 0.808868 0.574032i
\(211\) 3.16507 5.48206i 0.217892 0.377400i −0.736271 0.676687i \(-0.763415\pi\)
0.954163 + 0.299286i \(0.0967485\pi\)
\(212\) 4.15480 2.39877i 0.285353 0.164749i
\(213\) 13.9807 + 3.59833i 0.957944 + 0.246553i
\(214\) 5.48627 + 9.50249i 0.375034 + 0.649577i
\(215\) −3.87746 6.71596i −0.264441 0.458025i
\(216\) 7.80343 + 7.35363i 0.530956 + 0.500351i
\(217\) −20.2625 + 7.29323i −1.37551 + 0.495097i
\(218\) −22.6776 13.0929i −1.53592 0.886766i
\(219\) 1.91882 1.95715i 0.129662 0.132252i
\(220\) 2.52501i 0.170236i
\(221\) −5.01737 5.47373i −0.337505 0.368203i
\(222\) 12.5243 + 3.22347i 0.840576 + 0.216345i
\(223\) −2.57146 1.48464i −0.172198 0.0994185i 0.411424 0.911444i \(-0.365032\pi\)
−0.583622 + 0.812026i \(0.698365\pi\)
\(224\) −8.23975 6.96420i −0.550541 0.465315i
\(225\) −0.0849672 4.29541i −0.00566448 0.286361i
\(226\) −18.4129 −1.22480
\(227\) −1.75200 3.03456i −0.116285 0.201411i 0.802008 0.597313i \(-0.203765\pi\)
−0.918293 + 0.395903i \(0.870432\pi\)
\(228\) 0.702257 + 2.52087i 0.0465081 + 0.166949i
\(229\) 1.15034i 0.0760167i 0.999277 + 0.0380084i \(0.0121014\pi\)
−0.999277 + 0.0380084i \(0.987899\pi\)
\(230\) 8.03798 + 13.9222i 0.530008 + 0.918002i
\(231\) −6.59671 + 4.68150i −0.434032 + 0.308020i
\(232\) −8.66712 + 15.0119i −0.569024 + 0.985579i
\(233\) 3.80152i 0.249046i 0.992217 + 0.124523i \(0.0397400\pi\)
−0.992217 + 0.124523i \(0.960260\pi\)
\(234\) 5.05841 17.2342i 0.330679 1.12663i
\(235\) −16.2816 −1.06210
\(236\) −5.69225 + 9.85927i −0.370534 + 0.641784i
\(237\) 4.34262 + 4.25757i 0.282083 + 0.276559i
\(238\) −8.51299 + 3.06414i −0.551815 + 0.198618i
\(239\) 10.1685i 0.657748i −0.944374 0.328874i \(-0.893331\pi\)
0.944374 0.328874i \(-0.106669\pi\)
\(240\) 15.5726 4.33817i 1.00521 0.280028i
\(241\) −22.2624 + 12.8532i −1.43405 + 0.827949i −0.997427 0.0716951i \(-0.977159\pi\)
−0.436624 + 0.899644i \(0.643826\pi\)
\(242\) 13.0917i 0.841566i
\(243\) 11.5540 + 10.4644i 0.741192 + 0.671293i
\(244\) −1.22087 0.704868i −0.0781580 0.0451245i
\(245\) 10.1892 8.42664i 0.650964 0.538358i
\(246\) −26.1139 6.72114i −1.66496 0.428524i
\(247\) −5.30264 + 4.86055i −0.337399 + 0.309269i
\(248\) −16.7961 −1.06655
\(249\) 7.04945 + 6.91139i 0.446741 + 0.437991i
\(250\) −17.4715 10.0872i −1.10500 0.637971i
\(251\) −11.5595 20.0217i −0.729630 1.26376i −0.957040 0.289957i \(-0.906359\pi\)
0.227410 0.973799i \(-0.426974\pi\)
\(252\) −4.66662 3.78855i −0.293969 0.238656i
\(253\) −4.52363 7.83515i −0.284398 0.492592i
\(254\) 8.38427 4.84066i 0.526076 0.303730i
\(255\) 1.67941 6.52506i 0.105168 0.408615i
\(256\) −7.94909 13.7682i −0.496818 0.860514i
\(257\) −4.05472 + 7.02298i −0.252926 + 0.438081i −0.964330 0.264702i \(-0.914726\pi\)
0.711404 + 0.702783i \(0.248060\pi\)
\(258\) −8.26647 + 8.43161i −0.514648 + 0.524929i
\(259\) 11.7086 + 2.10762i 0.727535 + 0.130961i
\(260\) −3.48502 3.80200i −0.216132 0.235790i
\(261\) −12.1664 + 22.0696i −0.753080 + 1.36607i
\(262\) −9.68303 5.59050i −0.598220 0.345382i
\(263\) 22.4081 + 12.9373i 1.38174 + 0.797750i 0.992366 0.123328i \(-0.0393569\pi\)
0.389377 + 0.921078i \(0.372690\pi\)
\(264\) −6.07756 + 1.69307i −0.374048 + 0.104201i
\(265\) 11.9663i 0.735085i
\(266\) 2.96836 + 8.24690i 0.182002 + 0.505650i
\(267\) −12.1473 + 3.38397i −0.743406 + 0.207096i
\(268\) −2.72358 −0.166369
\(269\) 6.18971 + 10.7209i 0.377393 + 0.653665i 0.990682 0.136194i \(-0.0434871\pi\)
−0.613289 + 0.789859i \(0.710154\pi\)
\(270\) 15.6105 4.68332i 0.950024 0.285018i
\(271\) 6.90443 + 3.98627i 0.419414 + 0.242149i 0.694827 0.719177i \(-0.255481\pi\)
−0.275412 + 0.961326i \(0.588814\pi\)
\(272\) −10.1758 −0.616998
\(273\) 3.47150 16.1539i 0.210104 0.977679i
\(274\) −9.04550 −0.546459
\(275\) 2.18922 + 1.26394i 0.132015 + 0.0762187i
\(276\) 4.70654 4.80056i 0.283301 0.288960i
\(277\) 2.97509 + 5.15300i 0.178756 + 0.309614i 0.941455 0.337140i \(-0.109459\pi\)
−0.762699 + 0.646754i \(0.776126\pi\)
\(278\) 10.9395 0.656110
\(279\) −24.4138 + 0.482927i −1.46161 + 0.0289121i
\(280\) 9.70313 3.49251i 0.579873 0.208717i
\(281\) 2.80657i 0.167426i 0.996490 + 0.0837130i \(0.0266779\pi\)
−0.996490 + 0.0837130i \(0.973322\pi\)
\(282\) 6.65286 + 23.8816i 0.396172 + 1.42213i
\(283\) 15.7474 + 9.09177i 0.936086 + 0.540450i 0.888731 0.458429i \(-0.151588\pi\)
0.0473548 + 0.998878i \(0.484921\pi\)
\(284\) −5.46631 3.15598i −0.324366 0.187273i
\(285\) −6.32111 1.62691i −0.374430 0.0963700i
\(286\) 7.14106 + 7.79057i 0.422260 + 0.460666i
\(287\) −24.4131 4.39451i −1.44106 0.259400i
\(288\) −6.32487 10.4711i −0.372697 0.617018i
\(289\) 6.37940 11.0494i 0.375259 0.649967i
\(290\) 13.1739 + 22.8179i 0.773599 + 1.33991i
\(291\) −6.36028 1.63699i −0.372846 0.0959623i
\(292\) −1.03782 + 0.599187i −0.0607340 + 0.0350648i
\(293\) −13.5410 23.4538i −0.791076 1.37018i −0.925302 0.379232i \(-0.876188\pi\)
0.134226 0.990951i \(-0.457145\pi\)
\(294\) −16.5234 11.5021i −0.963667 0.670816i
\(295\) −14.1979 24.5915i −0.826636 1.43177i
\(296\) 8.03561 + 4.63936i 0.467060 + 0.269657i
\(297\) −8.78530 + 2.63569i −0.509775 + 0.152938i
\(298\) 13.0943 0.758532
\(299\) 17.6255 + 5.55416i 1.01931 + 0.321205i
\(300\) −0.468207 + 1.81915i −0.0270320 + 0.105028i
\(301\) −7.01174 + 8.29600i −0.404150 + 0.478174i
\(302\) 31.6773 + 18.2889i 1.82282 + 1.05241i
\(303\) 12.8463 3.57867i 0.737999 0.205589i
\(304\) 9.85773i 0.565380i
\(305\) 3.04515 1.75812i 0.174365 0.100670i
\(306\) −10.2571 + 0.202894i −0.586357 + 0.0115987i
\(307\) 24.0555i 1.37292i −0.727167 0.686461i \(-0.759163\pi\)
0.727167 0.686461i \(-0.240837\pi\)
\(308\) 3.32775 1.19778i 0.189616 0.0682498i
\(309\) 9.29177 9.47739i 0.528591 0.539150i
\(310\) −12.7649 + 22.1095i −0.724998 + 1.25573i
\(311\) 16.9955 0.963729 0.481864 0.876246i \(-0.339960\pi\)
0.481864 + 0.876246i \(0.339960\pi\)
\(312\) 6.81443 10.9376i 0.385791 0.619218i
\(313\) 13.9150i 0.786520i 0.919427 + 0.393260i \(0.128653\pi\)
−0.919427 + 0.393260i \(0.871347\pi\)
\(314\) 5.73415 9.93184i 0.323597 0.560486i
\(315\) 14.0035 5.35550i 0.789006 0.301748i
\(316\) −1.32950 2.30277i −0.0747904 0.129541i
\(317\) 14.9271i 0.838389i −0.907897 0.419194i \(-0.862313\pi\)
0.907897 0.419194i \(-0.137687\pi\)
\(318\) 17.5520 4.88957i 0.984265 0.274194i
\(319\) −7.41404 12.8415i −0.415107 0.718986i
\(320\) 5.87658 0.328511
\(321\) 3.07143 + 11.0254i 0.171431 + 0.615380i
\(322\) 14.5353 17.1976i 0.810023 0.958385i
\(323\) 3.55819 + 2.05432i 0.197983 + 0.114306i
\(324\) −3.63860 5.76316i −0.202144 0.320176i
\(325\) −5.04088 + 1.11839i −0.279618 + 0.0620371i
\(326\) 19.6230i 1.08682i
\(327\) −19.5040 19.1220i −1.07857 1.05745i
\(328\) −16.7547 9.67335i −0.925126 0.534122i
\(329\) 7.72346 + 21.4578i 0.425808 + 1.18301i
\(330\) −2.39024 + 9.28690i −0.131578 + 0.511227i
\(331\) 5.87460 + 10.1751i 0.322897 + 0.559274i 0.981085 0.193580i \(-0.0620099\pi\)
−0.658187 + 0.752854i \(0.728677\pi\)
\(332\) −2.15821 3.73813i −0.118447 0.205156i
\(333\) 11.8135 + 6.51246i 0.647374 + 0.356880i
\(334\) 30.0249 17.3349i 1.64289 0.948522i
\(335\) 3.39665 5.88318i 0.185579 0.321432i
\(336\) −13.1045 18.4655i −0.714908 1.00738i
\(337\) 30.6648 1.67042 0.835209 0.549932i \(-0.185346\pi\)
0.835209 + 0.549932i \(0.185346\pi\)
\(338\) −21.5051 1.87445i −1.16972 0.101957i
\(339\) −18.5999 4.78721i −1.01021 0.260006i
\(340\) −1.47295 + 2.55123i −0.0798820 + 0.138360i
\(341\) 7.18386 12.4428i 0.389028 0.673816i
\(342\) 0.196552 + 9.93646i 0.0106283 + 0.537302i
\(343\) −15.9390 9.43120i −0.860626 0.509237i
\(344\) −7.33686 + 4.23594i −0.395577 + 0.228386i
\(345\) 4.49998 + 16.1535i 0.242271 + 0.869673i
\(346\) 23.5272i 1.26483i
\(347\) −10.1994 + 5.88862i −0.547532 + 0.316118i −0.748126 0.663557i \(-0.769046\pi\)
0.200594 + 0.979674i \(0.435713\pi\)
\(348\) 7.71383 7.86793i 0.413505 0.421765i
\(349\) 20.0049 + 11.5498i 1.07084 + 0.618249i 0.928410 0.371556i \(-0.121176\pi\)
0.142428 + 0.989805i \(0.454509\pi\)
\(350\) −1.11461 + 6.19206i −0.0595785 + 0.330979i
\(351\) 9.59057 16.0941i 0.511907 0.859041i
\(352\) 7.19788 0.383648
\(353\) 17.5309 30.3644i 0.933075 1.61613i 0.155043 0.987908i \(-0.450449\pi\)
0.778032 0.628225i \(-0.216218\pi\)
\(354\) −30.2690 + 30.8736i −1.60878 + 1.64092i
\(355\) 13.6344 7.87181i 0.723638 0.417792i
\(356\) 5.51337 0.292208
\(357\) −9.39615 + 0.881955i −0.497297 + 0.0466780i
\(358\) −4.03755 6.99324i −0.213391 0.369604i
\(359\) 14.7527i 0.778620i 0.921107 + 0.389310i \(0.127286\pi\)
−0.921107 + 0.389310i \(0.872714\pi\)
\(360\) 11.6910 0.231259i 0.616171 0.0121884i
\(361\) −7.50989 + 13.0075i −0.395257 + 0.684606i
\(362\) −18.5834 + 32.1874i −0.976723 + 1.69173i
\(363\) −3.40375 + 13.2247i −0.178651 + 0.694118i
\(364\) −3.35754 + 6.39651i −0.175983 + 0.335268i
\(365\) 2.98905i 0.156454i
\(366\) −3.82306 3.74819i −0.199835 0.195921i
\(367\) 27.6175 + 15.9450i 1.44162 + 0.832322i 0.997958 0.0638704i \(-0.0203444\pi\)
0.443666 + 0.896192i \(0.353678\pi\)
\(368\) 21.9322 12.6625i 1.14329 0.660081i
\(369\) −24.6318 13.5789i −1.28228 0.706888i
\(370\) 12.2140 7.05177i 0.634977 0.366604i
\(371\) 15.7706 5.67642i 0.818769 0.294705i
\(372\) 10.3394 + 2.66114i 0.536075 + 0.137974i
\(373\) 7.71148 + 13.3567i 0.399285 + 0.691583i 0.993638 0.112622i \(-0.0359249\pi\)
−0.594353 + 0.804205i \(0.702592\pi\)
\(374\) 3.01818 5.22765i 0.156067 0.270315i
\(375\) −15.0265 14.7322i −0.775964 0.760767i
\(376\) 17.7869i 0.917288i
\(377\) 28.8874 + 9.10304i 1.48778 + 0.468831i
\(378\) −13.5773 18.3517i −0.698342 0.943911i
\(379\) 6.92605 11.9963i 0.355767 0.616207i −0.631482 0.775391i \(-0.717553\pi\)
0.987249 + 0.159184i \(0.0508862\pi\)
\(380\) 2.47148 + 1.42691i 0.126784 + 0.0731991i
\(381\) 9.72800 2.71000i 0.498381 0.138837i
\(382\) 26.6862 1.36539
\(383\) −1.95794 3.39125i −0.100046 0.173285i 0.811657 0.584134i \(-0.198566\pi\)
−0.911703 + 0.410849i \(0.865232\pi\)
\(384\) −6.19195 22.2271i −0.315982 1.13427i
\(385\) −1.56282 + 8.68202i −0.0796488 + 0.442477i
\(386\) −12.9423 + 7.47224i −0.658745 + 0.380327i
\(387\) −10.5426 + 6.36806i −0.535912 + 0.323707i
\(388\) 2.48680 + 1.43575i 0.126248 + 0.0728894i
\(389\) 9.54460i 0.483931i −0.970285 0.241965i \(-0.922208\pi\)
0.970285 0.241965i \(-0.0777920\pi\)
\(390\) −9.21872 17.2826i −0.466808 0.875140i
\(391\) 10.5553i 0.533807i
\(392\) −9.20568 11.1312i −0.464957 0.562210i
\(393\) −8.32793 8.16483i −0.420089 0.411861i
\(394\) 11.5226 + 19.9577i 0.580499 + 1.00545i
\(395\) 6.63224 0.333704
\(396\) 4.00951 0.0793119i 0.201486 0.00398557i
\(397\) −14.2013 + 8.19910i −0.712741 + 0.411501i −0.812075 0.583553i \(-0.801662\pi\)
0.0993342 + 0.995054i \(0.468329\pi\)
\(398\) −31.4007 −1.57397
\(399\) 0.854388 + 9.10246i 0.0427729 + 0.455693i
\(400\) −3.53803 + 6.12805i −0.176902 + 0.306403i
\(401\) 18.3927 + 10.6190i 0.918487 + 0.530289i 0.883152 0.469087i \(-0.155417\pi\)
0.0353349 + 0.999376i \(0.488750\pi\)
\(402\) −10.0172 2.57821i −0.499615 0.128590i
\(403\) 6.35658 + 28.6508i 0.316644 + 1.42720i
\(404\) −5.83059 −0.290083
\(405\) 16.9867 0.672290i 0.844078 0.0334063i
\(406\) 23.8228 28.1862i 1.18231 1.39886i
\(407\) −6.87383 + 3.96861i −0.340723 + 0.196717i
\(408\) −7.12831 1.83467i −0.352904 0.0908296i
\(409\) −9.88569 + 5.70751i −0.488816 + 0.282218i −0.724083 0.689713i \(-0.757737\pi\)
0.235267 + 0.971931i \(0.424403\pi\)
\(410\) −25.4670 + 14.7034i −1.25772 + 0.726148i
\(411\) −9.13741 2.35177i −0.450715 0.116004i
\(412\) −5.02559 + 2.90153i −0.247593 + 0.142948i
\(413\) −25.6746 + 30.3771i −1.26336 + 1.49476i
\(414\) 21.8549 13.2010i 1.07411 0.648793i
\(415\) 10.7663 0.528494
\(416\) −10.8381 + 9.93452i −0.531382 + 0.487080i
\(417\) 11.0507 + 2.84420i 0.541155 + 0.139281i
\(418\) −5.06425 2.92385i −0.247701 0.143010i
\(419\) −3.70481 + 6.41692i −0.180992 + 0.313487i −0.942219 0.334999i \(-0.891264\pi\)
0.761227 + 0.648486i \(0.224597\pi\)
\(420\) −6.52647 + 0.612597i −0.318459 + 0.0298917i
\(421\) 9.28170 0.452363 0.226181 0.974085i \(-0.427376\pi\)
0.226181 + 0.974085i \(0.427376\pi\)
\(422\) −9.10302 + 5.25563i −0.443128 + 0.255840i
\(423\) 0.511415 + 25.8539i 0.0248658 + 1.25706i
\(424\) 13.0726 0.634862
\(425\) 1.47463 + 2.55414i 0.0715301 + 0.123894i
\(426\) −17.1174 16.7821i −0.829340 0.813097i
\(427\) −3.76158 3.17927i −0.182035 0.153856i
\(428\) 5.00416i 0.241885i
\(429\) 5.18813 + 9.72635i 0.250485 + 0.469593i
\(430\) 12.8771i 0.620991i
\(431\) −30.1131 17.3858i −1.45050 0.837445i −0.451987 0.892024i \(-0.649285\pi\)
−0.998509 + 0.0545799i \(0.982618\pi\)
\(432\) −7.37781 24.5918i −0.354965 1.18317i
\(433\) −7.59750 + 4.38642i −0.365113 + 0.210798i −0.671321 0.741167i \(-0.734273\pi\)
0.306209 + 0.951964i \(0.400940\pi\)
\(434\) 35.1937 + 6.33510i 1.68935 + 0.304094i
\(435\) 7.37529 + 26.4749i 0.353618 + 1.26937i
\(436\) 5.97120 + 10.3424i 0.285969 + 0.495312i
\(437\) −10.2254 −0.489148
\(438\) −4.38429 + 1.22136i −0.209489 + 0.0583589i
\(439\) −19.1498 11.0561i −0.913970 0.527681i −0.0322637 0.999479i \(-0.510272\pi\)
−0.881706 + 0.471798i \(0.843605\pi\)
\(440\) −3.44014 + 5.95849i −0.164002 + 0.284060i
\(441\) −13.7009 15.9150i −0.652423 0.757855i
\(442\) 2.67062 + 12.0372i 0.127028 + 0.572550i
\(443\) 15.2741i 0.725693i −0.931849 0.362847i \(-0.881805\pi\)
0.931849 0.362847i \(-0.118195\pi\)
\(444\) −4.21156 4.12908i −0.199872 0.195957i
\(445\) −6.87587 + 11.9094i −0.325948 + 0.564558i
\(446\) 2.46525 + 4.26994i 0.116733 + 0.202188i
\(447\) 13.2274 + 3.40442i 0.625632 + 0.161024i
\(448\) −2.78765 7.74485i −0.131704 0.365910i
\(449\) 2.14736 1.23978i 0.101340 0.0585087i −0.448473 0.893796i \(-0.648032\pi\)
0.549813 + 0.835287i \(0.314699\pi\)
\(450\) −3.44410 + 6.24754i −0.162357 + 0.294512i
\(451\) 14.3324 8.27479i 0.674884 0.389645i
\(452\) 7.27237 + 4.19871i 0.342064 + 0.197491i
\(453\) 27.2442 + 26.7106i 1.28004 + 1.25497i
\(454\) 5.81844i 0.273073i
\(455\) −9.62974 15.2299i −0.451449 0.713986i
\(456\) −1.77732 + 6.90550i −0.0832307 + 0.323380i
\(457\) −14.2484 + 24.6789i −0.666510 + 1.15443i 0.312364 + 0.949963i \(0.398879\pi\)
−0.978874 + 0.204466i \(0.934454\pi\)
\(458\) 0.955078 1.65424i 0.0446278 0.0772977i
\(459\) −10.4140 2.46181i −0.486086 0.114907i
\(460\) 7.33164i 0.341840i
\(461\) −2.86970 4.97047i −0.133655 0.231498i 0.791428 0.611263i \(-0.209338\pi\)
−0.925083 + 0.379765i \(0.876005\pi\)
\(462\) 13.3732 1.25526i 0.622178 0.0583998i
\(463\) −3.06432 −0.142411 −0.0712055 0.997462i \(-0.522685\pi\)
−0.0712055 + 0.997462i \(0.522685\pi\)
\(464\) 35.9459 20.7534i 1.66875 0.963452i
\(465\) −18.6429 + 19.0153i −0.864544 + 0.881815i
\(466\) 3.15623 5.46676i 0.146210 0.253243i
\(467\) −6.69122 −0.309633 −0.154816 0.987943i \(-0.549479\pi\)
−0.154816 + 0.987943i \(0.549479\pi\)
\(468\) −5.92781 + 5.65336i −0.274013 + 0.261327i
\(469\) −9.36480 1.68573i −0.432426 0.0778396i
\(470\) 23.4137 + 13.5179i 1.07999 + 0.623535i
\(471\) 8.37463 8.54192i 0.385882 0.393591i
\(472\) −26.8650 + 15.5105i −1.23656 + 0.713931i
\(473\) 7.24702i 0.333218i
\(474\) −2.71001 9.72805i −0.124475 0.446824i
\(475\) 2.47430 1.42854i 0.113529 0.0655459i
\(476\) 4.06102 + 0.731011i 0.186137 + 0.0335058i
\(477\) 19.0016 0.375869i 0.870022 0.0172098i
\(478\) −8.44249 + 14.6228i −0.386150 + 0.668832i
\(479\) 19.5784 33.9108i 0.894560 1.54942i 0.0602111 0.998186i \(-0.480823\pi\)
0.834349 0.551237i \(-0.185844\pi\)
\(480\) −12.9198 3.32526i −0.589704 0.151777i
\(481\) 4.87270 15.4629i 0.222176 0.705050i
\(482\) 42.6859 1.94429
\(483\) 19.1543 13.5933i 0.871551 0.618515i
\(484\) 2.98532 5.17072i 0.135696 0.235033i
\(485\) −6.20271 + 3.58114i −0.281651 + 0.162611i
\(486\) −7.92707 24.6411i −0.359579 1.11774i
\(487\) −9.04568 15.6676i −0.409899 0.709965i 0.584979 0.811048i \(-0.301103\pi\)
−0.994878 + 0.101083i \(0.967769\pi\)
\(488\) −1.92066 3.32668i −0.0869442 0.150592i
\(489\) 5.10183 19.8224i 0.230713 0.896398i
\(490\) −21.6488 + 3.65824i −0.977992 + 0.165263i
\(491\) 23.2245 + 13.4087i 1.04811 + 0.605125i 0.922119 0.386906i \(-0.126456\pi\)
0.125989 + 0.992032i \(0.459790\pi\)
\(492\) 8.78137 + 8.60939i 0.395895 + 0.388141i
\(493\) 17.2998i 0.779143i
\(494\) 11.6609 2.58714i 0.524650 0.116401i
\(495\) −4.82906 + 8.75982i −0.217050 + 0.393725i
\(496\) 34.8299 + 20.1091i 1.56391 + 0.902923i
\(497\) −16.8421 14.2349i −0.755471 0.638521i
\(498\) −4.39921 15.7917i −0.197133 0.707645i
\(499\) 16.2931 0.729380 0.364690 0.931129i \(-0.381175\pi\)
0.364690 + 0.931129i \(0.381175\pi\)
\(500\) 4.60040 + 7.96812i 0.205736 + 0.356345i
\(501\) 34.8369 9.70476i 1.55640 0.433577i
\(502\) 38.3894i 1.71340i
\(503\) 10.9717 + 19.0035i 0.489202 + 0.847323i 0.999923 0.0124235i \(-0.00395463\pi\)
−0.510720 + 0.859747i \(0.670621\pi\)
\(504\) −5.85061 15.2981i −0.260607 0.681432i
\(505\) 7.27149 12.5946i 0.323577 0.560452i
\(506\) 15.0231i 0.667857i
\(507\) −21.2363 7.48467i −0.943136 0.332406i
\(508\) −4.41529 −0.195897
\(509\) −0.634479 + 1.09895i −0.0281228 + 0.0487101i −0.879744 0.475447i \(-0.842286\pi\)
0.851621 + 0.524157i \(0.175620\pi\)
\(510\) −7.83253 + 7.98900i −0.346830 + 0.353759i
\(511\) −3.93933 + 1.41791i −0.174266 + 0.0627245i
\(512\) 0.243816i 0.0107752i
\(513\) −2.38486 + 10.0885i −0.105294 + 0.445420i
\(514\) 11.6617 6.73290i 0.514377 0.296976i
\(515\) 14.4743i 0.637814i
\(516\) 5.18761 1.44515i 0.228372 0.0636191i
\(517\) −13.1768 7.60763i −0.579515 0.334583i
\(518\) −15.0876 12.7519i −0.662910 0.560288i
\(519\) −6.11690 + 23.7663i −0.268502 + 1.04322i
\(520\) −3.04398 13.7200i −0.133487 0.601662i
\(521\) −40.4919 −1.77398 −0.886992 0.461784i \(-0.847209\pi\)
−0.886992 + 0.461784i \(0.847209\pi\)
\(522\) 35.8192 21.6359i 1.56776 0.946976i
\(523\) 14.0358 + 8.10356i 0.613741 + 0.354344i 0.774428 0.632662i \(-0.218038\pi\)
−0.160687 + 0.987005i \(0.551371\pi\)
\(524\) 2.54962 + 4.41607i 0.111381 + 0.192917i
\(525\) −2.73583 + 5.96519i −0.119401 + 0.260342i
\(526\) −21.4826 37.2089i −0.936685 1.62239i
\(527\) 14.5169 8.38134i 0.632366 0.365097i
\(528\) 14.6300 + 3.76544i 0.636690 + 0.163870i
\(529\) 1.63486 + 2.83166i 0.0710807 + 0.123115i
\(530\) 9.93510 17.2081i 0.431553 0.747472i
\(531\) −38.6035 + 23.3176i −1.67525 + 1.01190i
\(532\) 0.708162 3.93409i 0.0307027 0.170565i
\(533\) −10.1599 + 32.2412i −0.440073 + 1.39652i
\(534\) 20.2780 + 5.21910i 0.877514 + 0.225853i
\(535\) 10.8094 + 6.24083i 0.467333 + 0.269815i
\(536\) −6.42708 3.71068i −0.277608 0.160277i
\(537\) −2.26038 8.11404i −0.0975427 0.350147i
\(538\) 20.5562i 0.886239i
\(539\) 12.1835 2.05879i 0.524782 0.0886785i
\(540\) −7.23349 1.70995i −0.311280 0.0735844i
\(541\) −20.6766 −0.888957 −0.444479 0.895789i \(-0.646611\pi\)
−0.444479 + 0.895789i \(0.646611\pi\)
\(542\) −6.61925 11.4649i −0.284321 0.492459i
\(543\) −27.1408 + 27.6829i −1.16472 + 1.18799i
\(544\) 7.27262 + 4.19885i 0.311811 + 0.180024i
\(545\) −29.7874 −1.27595
\(546\) −18.4040 + 20.3478i −0.787620 + 0.870806i
\(547\) 24.0920 1.03010 0.515050 0.857160i \(-0.327773\pi\)
0.515050 + 0.857160i \(0.327773\pi\)
\(548\) 3.57263 + 2.06266i 0.152615 + 0.0881123i
\(549\) −2.88741 4.78024i −0.123232 0.204016i
\(550\) −2.09879 3.63522i −0.0894928 0.155006i
\(551\) −16.7591 −0.713960
\(552\) 17.6469 4.91601i 0.751100 0.209239i
\(553\) −3.14612 8.74075i −0.133786 0.371694i
\(554\) 9.88034i 0.419775i
\(555\) 14.1715 3.94786i 0.601548 0.167577i
\(556\) −4.32070 2.49456i −0.183239 0.105793i
\(557\) 20.3944 + 11.7747i 0.864138 + 0.498910i 0.865396 0.501089i \(-0.167067\pi\)
−0.00125762 + 0.999999i \(0.500400\pi\)
\(558\) 35.5090 + 19.5752i 1.50322 + 0.828684i
\(559\) 10.0023 + 10.9121i 0.423054 + 0.461533i
\(560\) −24.3027 4.37465i −1.02698 0.184863i
\(561\) 4.40800 4.49606i 0.186106 0.189824i
\(562\) 2.33017 4.03597i 0.0982923 0.170247i
\(563\) −17.7210 30.6936i −0.746850 1.29358i −0.949325 0.314295i \(-0.898232\pi\)
0.202475 0.979287i \(-0.435102\pi\)
\(564\) 2.81812 10.9494i 0.118664 0.461052i
\(565\) −18.1392 + 10.4726i −0.763120 + 0.440588i
\(566\) −15.0970 26.1487i −0.634574 1.09911i
\(567\) −8.94396 22.0682i −0.375611 0.926777i
\(568\) −8.59957 14.8949i −0.360830 0.624976i
\(569\) −2.58378 1.49174i −0.108318 0.0625372i 0.444863 0.895599i \(-0.353253\pi\)
−0.553180 + 0.833062i \(0.686586\pi\)
\(570\) 7.73929 + 7.58771i 0.324163 + 0.317814i
\(571\) −10.7710 −0.450754 −0.225377 0.974272i \(-0.572361\pi\)
−0.225377 + 0.974272i \(0.572361\pi\)
\(572\) −1.04395 4.70536i −0.0436498 0.196741i
\(573\) 26.9574 + 6.93824i 1.12616 + 0.289849i
\(574\) 31.4585 + 26.5886i 1.31305 + 1.10979i
\(575\) −6.35663 3.67000i −0.265090 0.153050i
\(576\) −0.184587 9.33155i −0.00769111 0.388815i
\(577\) 29.8095i 1.24099i −0.784212 0.620493i \(-0.786933\pi\)
0.784212 0.620493i \(-0.213067\pi\)
\(578\) −18.3477 + 10.5931i −0.763164 + 0.440613i
\(579\) −15.0165 + 4.18326i −0.624066 + 0.173850i
\(580\) 12.0163i 0.498948i
\(581\) −5.10715 14.1890i −0.211880 0.588660i
\(582\) 7.78725 + 7.63473i 0.322792 + 0.316470i
\(583\) −5.59129 + 9.68440i −0.231568 + 0.401087i
\(584\) −3.26539 −0.135123
\(585\) −4.81903 19.8551i −0.199242 0.820905i
\(586\) 44.9701i 1.85770i
\(587\) −7.18655 + 12.4475i −0.296620 + 0.513762i −0.975361 0.220617i \(-0.929193\pi\)
0.678740 + 0.734379i \(0.262526\pi\)
\(588\) 3.90329 + 8.31075i 0.160969 + 0.342730i
\(589\) −8.11937 14.0632i −0.334553 0.579462i
\(590\) 47.1517i 1.94120i
\(591\) 6.45080 + 23.1563i 0.265350 + 0.952521i
\(592\) −11.1089 19.2412i −0.456574 0.790810i
\(593\) 6.93827 0.284921 0.142460 0.989801i \(-0.454499\pi\)
0.142460 + 0.989801i \(0.454499\pi\)
\(594\) 14.8219 + 3.50381i 0.608152 + 0.143763i
\(595\) −6.64367 + 7.86051i −0.272364 + 0.322250i
\(596\) −5.17175 2.98591i −0.211843 0.122308i
\(597\) −31.7198 8.16396i −1.29820 0.334128i
\(598\) −20.7349 22.6208i −0.847911 0.925033i
\(599\) 26.1480i 1.06838i 0.845366 + 0.534188i \(0.179383\pi\)
−0.845366 + 0.534188i \(0.820617\pi\)
\(600\) −3.58332 + 3.65490i −0.146289 + 0.149211i
\(601\) 16.7802 + 9.68807i 0.684480 + 0.395185i 0.801541 0.597940i \(-0.204014\pi\)
−0.117061 + 0.993125i \(0.537347\pi\)
\(602\) 16.9710 6.10848i 0.691686 0.248963i
\(603\) −9.44871 5.20882i −0.384781 0.212120i
\(604\) −8.34088 14.4468i −0.339386 0.587833i
\(605\) 7.44614 + 12.8971i 0.302729 + 0.524342i
\(606\) −21.4447 5.51939i −0.871132 0.224210i
\(607\) 41.2756 23.8305i 1.67532 0.967249i 0.710748 0.703447i \(-0.248357\pi\)
0.964577 0.263802i \(-0.0849765\pi\)
\(608\) 4.06761 7.04530i 0.164963 0.285725i
\(609\) 31.3931 22.2788i 1.27211 0.902783i
\(610\) −5.83876 −0.236404
\(611\) 30.3409 6.73155i 1.22746 0.272329i
\(612\) 4.09741 + 2.25880i 0.165628 + 0.0913064i
\(613\) −12.0750 + 20.9145i −0.487705 + 0.844729i −0.999900 0.0141399i \(-0.995499\pi\)
0.512196 + 0.858869i \(0.328832\pi\)
\(614\) −19.9722 + 34.5929i −0.806014 + 1.39606i
\(615\) −29.5485 + 8.23154i −1.19151 + 0.331928i
\(616\) 9.48468 + 1.70731i 0.382149 + 0.0687893i
\(617\) 2.93520 1.69464i 0.118167 0.0682235i −0.439752 0.898119i \(-0.644934\pi\)
0.557918 + 0.829896i \(0.311600\pi\)
\(618\) −21.2306 + 5.91437i −0.854022 + 0.237911i
\(619\) 10.6431i 0.427784i −0.976857 0.213892i \(-0.931386\pi\)
0.976857 0.213892i \(-0.0686141\pi\)
\(620\) 10.0833 5.82159i 0.404955 0.233801i
\(621\) 25.5091 7.65301i 1.02364 0.307105i
\(622\) −24.4404 14.1106i −0.979969 0.565785i
\(623\) 18.9572 + 3.41243i 0.759506 + 0.136716i
\(624\) −27.2260 + 14.5226i −1.08991 + 0.581370i
\(625\) −15.7887 −0.631548
\(626\) 11.5530 20.0103i 0.461749 0.799774i
\(627\) −4.35553 4.27023i −0.173943 0.170536i
\(628\) −4.52954 + 2.61513i −0.180748 + 0.104355i
\(629\) −9.26027 −0.369231
\(630\) −24.5841 3.92502i −0.979452 0.156377i
\(631\) 1.58516 + 2.74557i 0.0631041 + 0.109300i 0.895851 0.444354i \(-0.146567\pi\)
−0.832747 + 0.553653i \(0.813233\pi\)
\(632\) 7.24540i 0.288207i
\(633\) −10.5619 + 2.94231i −0.419800 + 0.116946i
\(634\) −12.3933 + 21.4658i −0.492201 + 0.852516i
\(635\) 5.50643 9.53741i 0.218516 0.378481i
\(636\) −8.04733 2.07120i −0.319097 0.0821286i
\(637\) −15.5037 + 19.9157i −0.614277 + 0.789090i
\(638\) 24.6222i 0.974802i
\(639\) −12.9281 21.4031i −0.511427 0.846692i
\(640\) −21.7916 12.5814i −0.861390 0.497324i
\(641\) −20.4535 + 11.8089i −0.807866 + 0.466422i −0.846214 0.532843i \(-0.821124\pi\)
0.0383482 + 0.999264i \(0.487790\pi\)
\(642\) 4.73708 18.4052i 0.186957 0.726394i
\(643\) −4.51086 + 2.60435i −0.177891 + 0.102705i −0.586301 0.810093i \(-0.699417\pi\)
0.408410 + 0.912798i \(0.366083\pi\)
\(644\) −9.66250 + 3.47789i −0.380756 + 0.137048i
\(645\) −3.34796 + 13.0080i −0.131826 + 0.512189i
\(646\) −3.41122 5.90841i −0.134213 0.232463i
\(647\) −8.51892 + 14.7552i −0.334913 + 0.580087i −0.983468 0.181081i \(-0.942040\pi\)
0.648555 + 0.761168i \(0.275374\pi\)
\(648\) −0.734443 18.5572i −0.0288517 0.728994i
\(649\) 26.5361i 1.04163i
\(650\) 8.17756 + 2.57692i 0.320750 + 0.101075i
\(651\) 33.9042 + 15.5496i 1.32881 + 0.609436i
\(652\) −4.47465 + 7.75033i −0.175241 + 0.303526i
\(653\) −34.2535 19.7763i −1.34044 0.773906i −0.353572 0.935407i \(-0.615033\pi\)
−0.986872 + 0.161501i \(0.948366\pi\)
\(654\) 12.1715 + 43.6916i 0.475942 + 1.70848i
\(655\) −12.7188 −0.496965
\(656\) 23.1628 + 40.1192i 0.904356 + 1.56639i
\(657\) −4.74638 + 0.0938878i −0.185174 + 0.00366291i
\(658\) 6.70880 37.2698i 0.261536 1.45293i
\(659\) −15.9564 + 9.21243i −0.621573 + 0.358865i −0.777481 0.628906i \(-0.783503\pi\)
0.155908 + 0.987772i \(0.450170\pi\)
\(660\) 3.06176 3.12292i 0.119179 0.121560i
\(661\) 3.66655 + 2.11688i 0.142612 + 0.0823372i 0.569608 0.821916i \(-0.307095\pi\)
−0.426996 + 0.904253i \(0.640428\pi\)
\(662\) 19.5097i 0.758265i
\(663\) −0.431826 + 12.8538i −0.0167707 + 0.499201i
\(664\) 11.7616i 0.456439i
\(665\) 7.61482 + 6.43601i 0.295290 + 0.249578i
\(666\) −11.5813 19.1734i −0.448766 0.742954i
\(667\) 21.5275 + 37.2867i 0.833548 + 1.44375i
\(668\) −15.8116 −0.611768
\(669\) 1.38015 + 4.95428i 0.0533596 + 0.191544i
\(670\) −9.76908 + 5.64018i −0.377412 + 0.217899i
\(671\) 3.28595 0.126853
\(672\) 1.74629 + 18.6046i 0.0673646 + 0.717688i
\(673\) −1.90921 + 3.30685i −0.0735946 + 0.127470i −0.900474 0.434909i \(-0.856780\pi\)
0.826880 + 0.562379i \(0.190114\pi\)
\(674\) −44.0974 25.4596i −1.69857 0.980668i
\(675\) −5.10342 + 5.41558i −0.196431 + 0.208446i
\(676\) 8.06626 + 5.64417i 0.310241 + 0.217084i
\(677\) 41.3164 1.58792 0.793959 0.607971i \(-0.208016\pi\)
0.793959 + 0.607971i \(0.208016\pi\)
\(678\) 22.7730 + 22.3269i 0.874590 + 0.857461i
\(679\) 7.66201 + 6.47589i 0.294041 + 0.248522i
\(680\) −6.95171 + 4.01357i −0.266586 + 0.153914i
\(681\) −1.51275 + 5.87756i −0.0579689 + 0.225229i
\(682\) −20.6614 + 11.9289i −0.791166 + 0.456780i
\(683\) −36.9767 + 21.3485i −1.41487 + 0.816878i −0.995842 0.0910944i \(-0.970964\pi\)
−0.419031 + 0.907972i \(0.637630\pi\)
\(684\) 2.18819 3.96934i 0.0836677 0.151772i
\(685\) −8.91105 + 5.14479i −0.340474 + 0.196572i
\(686\) 15.0907 + 26.7960i 0.576166 + 1.02307i
\(687\) 1.39487 1.42274i 0.0532178 0.0542809i
\(688\) 20.2859 0.773391
\(689\) −4.94741 22.2993i −0.188481 0.849535i
\(690\) 6.94033 26.9655i 0.264214 1.02656i
\(691\) −30.0693 17.3605i −1.14389 0.660426i −0.196500 0.980504i \(-0.562958\pi\)
−0.947391 + 0.320078i \(0.896291\pi\)
\(692\) 5.36494 9.29234i 0.203944 0.353242i
\(693\) 13.8355 + 2.20893i 0.525566 + 0.0839103i
\(694\) 19.5562 0.742344
\(695\) 10.7769 6.22207i 0.408792 0.236016i
\(696\) 28.9225 8.05714i 1.09630 0.305405i
\(697\) 19.3082 0.731352
\(698\) −19.1786 33.2184i −0.725922 1.25733i
\(699\) 4.60962 4.70171i 0.174352 0.177835i
\(700\) 1.85221 2.19146i 0.0700070 0.0828294i
\(701\) 6.68048i 0.252318i 0.992010 + 0.126159i \(0.0402650\pi\)
−0.992010 + 0.126159i \(0.959735\pi\)
\(702\) −27.1539 + 15.1815i −1.02486 + 0.572987i
\(703\) 8.97083i 0.338341i
\(704\) 4.75595 + 2.74585i 0.179247 + 0.103488i
\(705\) 20.1371 + 19.7427i 0.758405 + 0.743552i
\(706\) −50.4204 + 29.1102i −1.89760 + 1.09558i
\(707\) −20.0480 3.60877i −0.753982 0.135722i
\(708\) 18.9952 5.29164i 0.713885 0.198872i
\(709\) −14.5952 25.2797i −0.548136 0.949399i −0.998402 0.0565051i \(-0.982004\pi\)
0.450266 0.892894i \(-0.351329\pi\)
\(710\) −26.1425 −0.981109
\(711\) −0.208322 10.5315i −0.00781270 0.394961i
\(712\) 13.0104 + 7.51155i 0.487585 + 0.281507i
\(713\) −20.8591 + 36.1291i −0.781180 + 1.35304i
\(714\) 14.2443 + 6.53291i 0.533081 + 0.244488i
\(715\) 11.4659 + 3.61316i 0.428802 + 0.135125i
\(716\) 3.68275i 0.137631i
\(717\) −12.3301 + 12.5764i −0.460476 + 0.469675i
\(718\) 12.2485 21.2151i 0.457111 0.791740i
\(719\) 18.8697 + 32.6832i 0.703720 + 1.21888i 0.967151 + 0.254201i \(0.0818125\pi\)
−0.263431 + 0.964678i \(0.584854\pi\)
\(720\) −24.5205 13.5175i −0.913825 0.503767i
\(721\) −19.0759 + 6.86613i −0.710425 + 0.255708i
\(722\) 21.5991 12.4703i 0.803836 0.464095i
\(723\) 43.1196 + 11.0980i 1.60364 + 0.412740i
\(724\) 14.6795 8.47520i 0.545559 0.314979i
\(725\) −10.4183 6.01498i −0.386924 0.223391i
\(726\) 15.8746 16.1918i 0.589163 0.600933i
\(727\) 5.87923i 0.218049i 0.994039 + 0.109024i \(0.0347726\pi\)
−0.994039 + 0.109024i \(0.965227\pi\)
\(728\) −16.6379 + 10.5200i −0.616640 + 0.389898i
\(729\) −1.60111 26.9525i −0.0593002 0.998240i
\(730\) −2.48168 + 4.29839i −0.0918510 + 0.159091i
\(731\) 4.22751 7.32227i 0.156360 0.270824i
\(732\) 0.655260 + 2.35217i 0.0242191 + 0.0869386i
\(733\) 43.8198i 1.61852i −0.587449 0.809261i \(-0.699868\pi\)
0.587449 0.809261i \(-0.300132\pi\)
\(734\) −26.4768 45.8592i −0.977278 1.69270i
\(735\) −22.8199 1.93311i −0.841724 0.0713040i
\(736\) −20.8998 −0.770378
\(737\) 5.49786 3.17419i 0.202516 0.116923i
\(738\) 24.1477 + 39.9777i 0.888890 + 1.47160i
\(739\) 3.34440 5.79267i 0.123026 0.213087i −0.797934 0.602745i \(-0.794074\pi\)
0.920959 + 0.389658i \(0.127407\pi\)
\(740\) −6.43210 −0.236449
\(741\) 12.4521 + 0.418328i 0.457438 + 0.0153677i
\(742\) −27.3917 4.93069i −1.00558 0.181011i
\(743\) −0.275605 0.159121i −0.0101110 0.00583757i 0.494936 0.868929i \(-0.335191\pi\)
−0.505047 + 0.863092i \(0.668525\pi\)
\(744\) 20.7733 + 20.3665i 0.761587 + 0.746671i
\(745\) 12.8997 7.44762i 0.472607 0.272860i
\(746\) 25.6100i 0.937649i
\(747\) −0.338174 17.0960i −0.0123731 0.625509i
\(748\) −2.38414 + 1.37648i −0.0871726 + 0.0503291i
\(749\) 3.09726 17.2064i 0.113172 0.628708i
\(750\) 9.37728 + 33.6614i 0.342410 + 1.22914i
\(751\) 17.2577 29.8912i 0.629743 1.09075i −0.357861 0.933775i \(-0.616494\pi\)
0.987603 0.156971i \(-0.0501730\pi\)
\(752\) 21.2953 36.8845i 0.776560 1.34504i
\(753\) −9.98097 + 38.7795i −0.363727 + 1.41320i
\(754\) −33.9836 37.0745i −1.23761 1.35018i
\(755\) 41.6086 1.51429
\(756\) 1.17776 + 10.3443i 0.0428346 + 0.376218i
\(757\) −23.7061 + 41.0602i −0.861613 + 1.49236i 0.00875766 + 0.999962i \(0.497212\pi\)
−0.870371 + 0.492396i \(0.836121\pi\)
\(758\) −19.9199 + 11.5008i −0.723525 + 0.417727i
\(759\) −3.90589 + 15.1757i −0.141775 + 0.550844i
\(760\) 3.88812 + 6.73443i 0.141037 + 0.244283i
\(761\) 8.65414 + 14.9894i 0.313712 + 0.543366i 0.979163 0.203076i \(-0.0650939\pi\)
−0.665451 + 0.746442i \(0.731761\pi\)
\(762\) −16.2393 4.17963i −0.588287 0.151412i
\(763\) 14.1302 + 39.2574i 0.511546 + 1.42121i
\(764\) −10.5400 6.08530i −0.381326 0.220158i
\(765\) −9.98920 + 6.03377i −0.361160 + 0.218151i
\(766\) 6.50236i 0.234940i
\(767\) 36.6252 + 39.9564i 1.32246 + 1.44274i
\(768\) −6.86358 + 26.6673i −0.247668 + 0.962275i
\(769\) 34.6277 + 19.9923i 1.24871 + 0.720941i 0.970851 0.239683i \(-0.0770434\pi\)
0.277854 + 0.960623i \(0.410377\pi\)
\(770\) 9.45570 11.1876i 0.340760 0.403173i
\(771\) 13.5307 3.76935i 0.487298 0.135750i
\(772\) 6.81562 0.245299
\(773\) 3.45026 + 5.97602i 0.124097 + 0.214943i 0.921380 0.388664i \(-0.127063\pi\)
−0.797282 + 0.603606i \(0.793730\pi\)
\(774\) 20.4479 0.404478i 0.734984 0.0145387i
\(775\) 11.6565i 0.418713i