Properties

Label 546.2.u.a.425.1
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 425.1
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(-1.67595 - 0.437249i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.40279 - 2.42970i) q^{5} +(1.67004 - 0.459307i) q^{6} +(1.42569 + 2.22877i) q^{7} +1.00000i q^{8} +(2.61763 + 1.46562i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(-1.67595 - 0.437249i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.40279 - 2.42970i) q^{5} +(1.67004 - 0.459307i) q^{6} +(1.42569 + 2.22877i) q^{7} +1.00000i q^{8} +(2.61763 + 1.46562i) q^{9} +2.80557i q^{10} -2.61426i q^{11} +(-1.21664 + 1.23279i) q^{12} +(0.591455 + 3.55671i) q^{13} +(-2.34907 - 1.21733i) q^{14} +(-3.41338 + 3.45869i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.31392 + 4.00782i) q^{17} +(-2.99974 + 0.0395536i) q^{18} -6.81336i q^{19} +(-1.40279 - 2.42970i) q^{20} +(-1.41486 - 4.35869i) q^{21} +(1.30713 + 2.26401i) q^{22} +(4.59740 - 2.65431i) q^{23} +(0.437249 - 1.67595i) q^{24} +(-1.43561 - 2.48656i) q^{25} +(-2.29057 - 2.78447i) q^{26} +(-3.74618 - 3.60085i) q^{27} +(2.64302 - 0.120296i) q^{28} +(5.91509 + 3.41508i) q^{29} +(1.22673 - 4.70200i) q^{30} +(5.96408 - 3.44336i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-1.14308 + 4.38137i) q^{33} -4.62784i q^{34} +(7.41517 - 0.337499i) q^{35} +(2.57807 - 1.53412i) q^{36} +(0.497079 + 0.860965i) q^{37} +(3.40668 + 5.90055i) q^{38} +(0.563917 - 6.21949i) q^{39} +(2.42970 + 1.40279i) q^{40} +(-1.10966 + 1.92198i) q^{41} +(3.40465 + 3.06731i) q^{42} +(-3.67020 - 6.35698i) q^{43} +(-2.26401 - 1.30713i) q^{44} +(7.23297 - 4.30409i) q^{45} +(-2.65431 + 4.59740i) q^{46} +(1.77046 - 3.06652i) q^{47} +(0.459307 + 1.67004i) q^{48} +(-2.93483 + 6.35506i) q^{49} +(2.48656 + 1.43561i) q^{50} +(5.63043 - 5.70516i) q^{51} +(3.37593 + 1.26614i) q^{52} +(9.16567 - 5.29180i) q^{53} +(5.04471 + 1.24534i) q^{54} +(-6.35185 - 3.66724i) q^{55} +(-2.22877 + 1.42569i) q^{56} +(-2.97913 + 11.4189i) q^{57} -6.83016 q^{58} +(-1.53008 + 2.65018i) q^{59} +(1.28862 + 4.68542i) q^{60} -11.9390i q^{61} +(-3.44336 + 5.96408i) q^{62} +(0.465397 + 7.92360i) q^{63} -1.00000 q^{64} +(9.47141 + 3.55224i) q^{65} +(-1.20075 - 4.36592i) q^{66} +9.93727 q^{67} +(2.31392 + 4.00782i) q^{68} +(-8.86562 + 2.43829i) q^{69} +(-6.25297 + 3.99987i) q^{70} +(4.88106 - 2.81808i) q^{71} +(-1.46562 + 2.61763i) q^{72} +(-1.76646 + 1.01987i) q^{73} +(-0.860965 - 0.497079i) q^{74} +(1.31878 + 4.79507i) q^{75} +(-5.90055 - 3.40668i) q^{76} +(5.82658 - 3.72712i) q^{77} +(2.62138 + 5.66819i) q^{78} +(-0.142677 + 0.247123i) q^{79} -2.80557 q^{80} +(4.70394 + 7.67287i) q^{81} -2.21931i q^{82} -0.889066 q^{83} +(-4.48216 - 0.954045i) q^{84} +(6.49186 + 11.2442i) q^{85} +(6.35698 + 3.67020i) q^{86} +(-8.42017 - 8.30987i) q^{87} +2.61426 q^{88} +(-7.24749 - 12.5530i) q^{89} +(-4.11189 + 7.34394i) q^{90} +(-7.08386 + 6.38897i) q^{91} -5.30862i q^{92} +(-11.5011 + 3.16312i) q^{93} +3.54092i q^{94} +(-16.5544 - 9.55769i) q^{95} +(-1.23279 - 1.21664i) q^{96} +(-7.06699 + 4.08013i) q^{97} +(-0.635888 - 6.97106i) q^{98} +(3.83150 - 6.84316i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 76 q + 38 q^{4} + 10 q^{7} - 8 q^{9} + 2 q^{13} + 12 q^{15} - 38 q^{16} - 8 q^{21} - 42 q^{25} + 20 q^{28} + 20 q^{30} + 12 q^{31} - 4 q^{36} - 6 q^{37} + 12 q^{39} + 8 q^{42} - 2 q^{43} - 4 q^{46} + 2 q^{49} + 10 q^{51} - 14 q^{52} + 18 q^{54} + 24 q^{55} + 8 q^{57} + 16 q^{58} - 12 q^{60} + 32 q^{63} - 76 q^{64} - 24 q^{66} + 96 q^{67} - 30 q^{69} - 54 q^{73} - 12 q^{75} + 18 q^{76} - 12 q^{78} - 60 q^{79} + 8 q^{81} + 8 q^{84} + 8 q^{85} - 24 q^{87} + 48 q^{91} + 16 q^{93} - 66 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) −1.67595 0.437249i −0.967611 0.252446i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 1.40279 2.42970i 0.627345 1.08659i −0.360738 0.932667i \(-0.617475\pi\)
0.988082 0.153926i \(-0.0491916\pi\)
\(6\) 1.67004 0.459307i 0.681791 0.187511i
\(7\) 1.42569 + 2.22877i 0.538859 + 0.842396i
\(8\) 1.00000i 0.353553i
\(9\) 2.61763 + 1.46562i 0.872542 + 0.488538i
\(10\) 2.80557i 0.887199i
\(11\) 2.61426i 0.788229i −0.919061 0.394114i \(-0.871051\pi\)
0.919061 0.394114i \(-0.128949\pi\)
\(12\) −1.21664 + 1.23279i −0.351215 + 0.355876i
\(13\) 0.591455 + 3.55671i 0.164040 + 0.986454i
\(14\) −2.34907 1.21733i −0.627814 0.325345i
\(15\) −3.41338 + 3.45869i −0.881331 + 0.893029i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.31392 + 4.00782i −0.561208 + 0.972040i 0.436184 + 0.899858i \(0.356330\pi\)
−0.997391 + 0.0721824i \(0.977004\pi\)
\(18\) −2.99974 + 0.0395536i −0.707045 + 0.00932286i
\(19\) 6.81336i 1.56309i −0.623847 0.781546i \(-0.714431\pi\)
0.623847 0.781546i \(-0.285569\pi\)
\(20\) −1.40279 2.42970i −0.313672 0.543297i
\(21\) −1.41486 4.35869i −0.308747 0.951144i
\(22\) 1.30713 + 2.26401i 0.278681 + 0.482690i
\(23\) 4.59740 2.65431i 0.958624 0.553462i 0.0628751 0.998021i \(-0.479973\pi\)
0.895749 + 0.444559i \(0.146640\pi\)
\(24\) 0.437249 1.67595i 0.0892530 0.342102i
\(25\) −1.43561 2.48656i −0.287123 0.497311i
\(26\) −2.29057 2.78447i −0.449218 0.546080i
\(27\) −3.74618 3.60085i −0.720952 0.692985i
\(28\) 2.64302 0.120296i 0.499483 0.0227338i
\(29\) 5.91509 + 3.41508i 1.09840 + 0.634164i 0.935802 0.352527i \(-0.114678\pi\)
0.162603 + 0.986692i \(0.448011\pi\)
\(30\) 1.22673 4.70200i 0.223970 0.858464i
\(31\) 5.96408 3.44336i 1.07118 0.618446i 0.142677 0.989769i \(-0.454429\pi\)
0.928504 + 0.371323i \(0.121096\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −1.14308 + 4.38137i −0.198985 + 0.762699i
\(34\) 4.62784i 0.793667i
\(35\) 7.41517 0.337499i 1.25339 0.0570477i
\(36\) 2.57807 1.53412i 0.429679 0.255687i
\(37\) 0.497079 + 0.860965i 0.0817192 + 0.141542i 0.903988 0.427557i \(-0.140626\pi\)
−0.822269 + 0.569099i \(0.807292\pi\)
\(38\) 3.40668 + 5.90055i 0.552637 + 0.957195i
\(39\) 0.563917 6.21949i 0.0902989 0.995915i
\(40\) 2.42970 + 1.40279i 0.384169 + 0.221800i
\(41\) −1.10966 + 1.92198i −0.173299 + 0.300163i −0.939571 0.342353i \(-0.888776\pi\)
0.766272 + 0.642516i \(0.222109\pi\)
\(42\) 3.40465 + 3.06731i 0.525348 + 0.473296i
\(43\) −3.67020 6.35698i −0.559701 0.969430i −0.997521 0.0703677i \(-0.977583\pi\)
0.437820 0.899062i \(-0.355751\pi\)
\(44\) −2.26401 1.30713i −0.341313 0.197057i
\(45\) 7.23297 4.30409i 1.07823 0.641616i
\(46\) −2.65431 + 4.59740i −0.391357 + 0.677850i
\(47\) 1.77046 3.06652i 0.258248 0.447298i −0.707525 0.706688i \(-0.750188\pi\)
0.965773 + 0.259390i \(0.0835216\pi\)
\(48\) 0.459307 + 1.67004i 0.0662953 + 0.241050i
\(49\) −2.93483 + 6.35506i −0.419262 + 0.907865i
\(50\) 2.48656 + 1.43561i 0.351652 + 0.203027i
\(51\) 5.63043 5.70516i 0.788418 0.798882i
\(52\) 3.37593 + 1.26614i 0.468157 + 0.175582i
\(53\) 9.16567 5.29180i 1.25900 0.726885i 0.286121 0.958193i \(-0.407634\pi\)
0.972880 + 0.231308i \(0.0743006\pi\)
\(54\) 5.04471 + 1.24534i 0.686498 + 0.169470i
\(55\) −6.35185 3.66724i −0.856484 0.494491i
\(56\) −2.22877 + 1.42569i −0.297832 + 0.190515i
\(57\) −2.97913 + 11.4189i −0.394596 + 1.51247i
\(58\) −6.83016 −0.896844
\(59\) −1.53008 + 2.65018i −0.199200 + 0.345024i −0.948269 0.317467i \(-0.897168\pi\)
0.749069 + 0.662492i \(0.230501\pi\)
\(60\) 1.28862 + 4.68542i 0.166360 + 0.604885i
\(61\) 11.9390i 1.52863i −0.644845 0.764314i \(-0.723078\pi\)
0.644845 0.764314i \(-0.276922\pi\)
\(62\) −3.44336 + 5.96408i −0.437308 + 0.757439i
\(63\) 0.465397 + 7.92360i 0.0586345 + 0.998280i
\(64\) −1.00000 −0.125000
\(65\) 9.47141 + 3.55224i 1.17478 + 0.440602i
\(66\) −1.20075 4.36592i −0.147802 0.537408i
\(67\) 9.93727 1.21403 0.607015 0.794690i \(-0.292367\pi\)
0.607015 + 0.794690i \(0.292367\pi\)
\(68\) 2.31392 + 4.00782i 0.280604 + 0.486020i
\(69\) −8.86562 + 2.43829i −1.06729 + 0.293535i
\(70\) −6.25297 + 3.99987i −0.747373 + 0.478075i
\(71\) 4.88106 2.81808i 0.579276 0.334445i −0.181570 0.983378i \(-0.558118\pi\)
0.760845 + 0.648933i \(0.224785\pi\)
\(72\) −1.46562 + 2.61763i −0.172724 + 0.308490i
\(73\) −1.76646 + 1.01987i −0.206749 + 0.119366i −0.599799 0.800150i \(-0.704753\pi\)
0.393051 + 0.919517i \(0.371420\pi\)
\(74\) −0.860965 0.497079i −0.100085 0.0577842i
\(75\) 1.31878 + 4.79507i 0.152279 + 0.553687i
\(76\) −5.90055 3.40668i −0.676839 0.390773i
\(77\) 5.82658 3.72712i 0.664001 0.424744i
\(78\) 2.62138 + 5.66819i 0.296812 + 0.641796i
\(79\) −0.142677 + 0.247123i −0.0160524 + 0.0278035i −0.873940 0.486034i \(-0.838443\pi\)
0.857888 + 0.513837i \(0.171777\pi\)
\(80\) −2.80557 −0.313672
\(81\) 4.70394 + 7.67287i 0.522660 + 0.852541i
\(82\) 2.21931i 0.245082i
\(83\) −0.889066 −0.0975876 −0.0487938 0.998809i \(-0.515538\pi\)
−0.0487938 + 0.998809i \(0.515538\pi\)
\(84\) −4.48216 0.954045i −0.489044 0.104095i
\(85\) 6.49186 + 11.2442i 0.704141 + 1.21961i
\(86\) 6.35698 + 3.67020i 0.685491 + 0.395768i
\(87\) −8.42017 8.30987i −0.902736 0.890912i
\(88\) 2.61426 0.278681
\(89\) −7.24749 12.5530i −0.768232 1.33062i −0.938521 0.345223i \(-0.887803\pi\)
0.170289 0.985394i \(-0.445530\pi\)
\(90\) −4.11189 + 7.34394i −0.433431 + 0.774119i
\(91\) −7.08386 + 6.38897i −0.742590 + 0.669746i
\(92\) 5.30862i 0.553462i
\(93\) −11.5011 + 3.16312i −1.19261 + 0.328001i
\(94\) 3.54092i 0.365218i
\(95\) −16.5544 9.55769i −1.69845 0.980598i
\(96\) −1.23279 1.21664i −0.125821 0.124173i
\(97\) −7.06699 + 4.08013i −0.717544 + 0.414274i −0.813848 0.581078i \(-0.802631\pi\)
0.0963042 + 0.995352i \(0.469298\pi\)
\(98\) −0.635888 6.97106i −0.0642344 0.704183i
\(99\) 3.83150 6.84316i 0.385080 0.687763i
\(100\) −2.87123 −0.287123
\(101\) −4.90287 −0.487854 −0.243927 0.969794i \(-0.578436\pi\)
−0.243927 + 0.969794i \(0.578436\pi\)
\(102\) −2.02352 + 7.75603i −0.200358 + 0.767961i
\(103\) 2.88019 + 1.66288i 0.283794 + 0.163848i 0.635140 0.772397i \(-0.280943\pi\)
−0.351346 + 0.936246i \(0.614276\pi\)
\(104\) −3.55671 + 0.591455i −0.348764 + 0.0579969i
\(105\) −12.5750 2.67664i −1.22720 0.261213i
\(106\) −5.29180 + 9.16567i −0.513985 + 0.890249i
\(107\) −0.805764 + 0.465208i −0.0778961 + 0.0449734i −0.538442 0.842662i \(-0.680987\pi\)
0.460546 + 0.887636i \(0.347654\pi\)
\(108\) −4.99152 + 1.44386i −0.480309 + 0.138935i
\(109\) −5.59636 9.69317i −0.536034 0.928438i −0.999113 0.0421205i \(-0.986589\pi\)
0.463079 0.886317i \(-0.346745\pi\)
\(110\) 7.33449 0.699316
\(111\) −0.456624 1.66028i −0.0433408 0.157587i
\(112\) 1.21733 2.34907i 0.115027 0.221966i
\(113\) −1.95091 + 1.12636i −0.183526 + 0.105959i −0.588948 0.808171i \(-0.700458\pi\)
0.405422 + 0.914130i \(0.367125\pi\)
\(114\) −3.12943 11.3786i −0.293098 1.06570i
\(115\) 14.8937i 1.38885i
\(116\) 5.91509 3.41508i 0.549202 0.317082i
\(117\) −3.66456 + 10.1770i −0.338789 + 0.940863i
\(118\) 3.06017i 0.281711i
\(119\) −12.2314 + 0.556710i −1.12125 + 0.0510335i
\(120\) −3.45869 3.41338i −0.315733 0.311598i
\(121\) 4.16565 0.378695
\(122\) 5.96948 + 10.3394i 0.540451 + 0.936089i
\(123\) 2.70012 2.73595i 0.243461 0.246693i
\(124\) 6.88673i 0.618446i
\(125\) 5.97242 0.534189
\(126\) −4.36484 6.62934i −0.388851 0.590588i
\(127\) −9.32949 + 16.1591i −0.827858 + 1.43389i 0.0718568 + 0.997415i \(0.477108\pi\)
−0.899715 + 0.436478i \(0.856226\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 3.37150 + 12.2588i 0.296844 + 1.07933i
\(130\) −9.97860 + 1.65937i −0.875181 + 0.145536i
\(131\) −7.60360 + 13.1698i −0.664330 + 1.15065i 0.315137 + 0.949046i \(0.397950\pi\)
−0.979467 + 0.201606i \(0.935384\pi\)
\(132\) 3.22284 + 3.18062i 0.280512 + 0.276838i
\(133\) 15.1854 9.71372i 1.31674 0.842287i
\(134\) −8.60593 + 4.96864i −0.743439 + 0.429225i
\(135\) −14.0041 + 4.05085i −1.20528 + 0.348641i
\(136\) −4.00782 2.31392i −0.343668 0.198417i
\(137\) 9.00615 + 5.19970i 0.769447 + 0.444240i 0.832677 0.553759i \(-0.186807\pi\)
−0.0632303 + 0.997999i \(0.520140\pi\)
\(138\) 6.45870 6.54443i 0.549801 0.557099i
\(139\) −8.96591 + 5.17647i −0.760478 + 0.439062i −0.829467 0.558555i \(-0.811356\pi\)
0.0689891 + 0.997617i \(0.478023\pi\)
\(140\) 3.41530 6.59047i 0.288646 0.556997i
\(141\) −4.30803 + 4.36521i −0.362802 + 0.367617i
\(142\) −2.81808 + 4.88106i −0.236488 + 0.409610i
\(143\) 9.29816 1.54622i 0.777551 0.129301i
\(144\) −0.0395536 2.99974i −0.00329613 0.249978i
\(145\) 16.5952 9.58125i 1.37816 0.795679i
\(146\) 1.01987 1.76646i 0.0844048 0.146193i
\(147\) 7.69738 9.36752i 0.634869 0.772620i
\(148\) 0.994157 0.0817192
\(149\) 18.8211i 1.54189i 0.636904 + 0.770943i \(0.280215\pi\)
−0.636904 + 0.770943i \(0.719785\pi\)
\(150\) −3.53963 3.49326i −0.289010 0.285224i
\(151\) 10.8089 + 18.7215i 0.879612 + 1.52353i 0.851767 + 0.523920i \(0.175531\pi\)
0.0278447 + 0.999612i \(0.491136\pi\)
\(152\) 6.81336 0.552637
\(153\) −11.9309 + 7.09967i −0.964556 + 0.573975i
\(154\) −3.18241 + 6.14107i −0.256446 + 0.494861i
\(155\) 19.3212i 1.55192i
\(156\) −5.10427 3.59811i −0.408669 0.288079i
\(157\) 4.43673 2.56155i 0.354090 0.204434i −0.312395 0.949952i \(-0.601131\pi\)
0.666485 + 0.745518i \(0.267798\pi\)
\(158\) 0.285353i 0.0227015i
\(159\) −17.6751 + 4.86113i −1.40172 + 0.385512i
\(160\) 2.42970 1.40279i 0.192084 0.110900i
\(161\) 12.4703 + 6.46234i 0.982798 + 0.509303i
\(162\) −7.91017 4.29293i −0.621482 0.337284i
\(163\) −17.4331 −1.36547 −0.682733 0.730668i \(-0.739209\pi\)
−0.682733 + 0.730668i \(0.739209\pi\)
\(164\) 1.10966 + 1.92198i 0.0866497 + 0.150082i
\(165\) 9.04190 + 8.92347i 0.703911 + 0.694691i
\(166\) 0.769953 0.444533i 0.0597600 0.0345024i
\(167\) −1.95407 + 3.38455i −0.151211 + 0.261904i −0.931673 0.363299i \(-0.881650\pi\)
0.780462 + 0.625203i \(0.214984\pi\)
\(168\) 4.35869 1.41486i 0.336280 0.109158i
\(169\) −12.3004 + 4.20727i −0.946182 + 0.323636i
\(170\) −11.2442 6.49186i −0.862393 0.497903i
\(171\) 9.98577 17.8348i 0.763631 1.36386i
\(172\) −7.34041 −0.559701
\(173\) 6.68133 0.507972 0.253986 0.967208i \(-0.418258\pi\)
0.253986 + 0.967208i \(0.418258\pi\)
\(174\) 11.4470 + 2.98648i 0.867796 + 0.226404i
\(175\) 3.49523 6.74471i 0.264214 0.509852i
\(176\) −2.26401 + 1.30713i −0.170657 + 0.0985286i
\(177\) 3.72313 3.77255i 0.279848 0.283562i
\(178\) 12.5530 + 7.24749i 0.940888 + 0.543222i
\(179\) 8.13932i 0.608361i 0.952614 + 0.304181i \(0.0983827\pi\)
−0.952614 + 0.304181i \(0.901617\pi\)
\(180\) −0.110970 8.41598i −0.00827124 0.627290i
\(181\) 14.2577i 1.05977i −0.848070 0.529885i \(-0.822235\pi\)
0.848070 0.529885i \(-0.177765\pi\)
\(182\) 2.94032 9.07494i 0.217951 0.672679i
\(183\) −5.22029 + 20.0091i −0.385895 + 1.47912i
\(184\) 2.65431 + 4.59740i 0.195678 + 0.338925i
\(185\) 2.78918 0.205064
\(186\) 8.37870 8.48991i 0.614356 0.622510i
\(187\) 10.4775 + 6.04918i 0.766190 + 0.442360i
\(188\) −1.77046 3.06652i −0.129124 0.223649i
\(189\) 2.68460 13.4831i 0.195276 0.980748i
\(190\) 19.1154 1.38678
\(191\) 1.83134i 0.132511i −0.997803 0.0662555i \(-0.978895\pi\)
0.997803 0.0662555i \(-0.0211052\pi\)
\(192\) 1.67595 + 0.437249i 0.120951 + 0.0315557i
\(193\) 1.66653 0.119959 0.0599797 0.998200i \(-0.480896\pi\)
0.0599797 + 0.998200i \(0.480896\pi\)
\(194\) 4.08013 7.06699i 0.292936 0.507380i
\(195\) −14.3204 10.0947i −1.02551 0.722900i
\(196\) 4.03622 + 5.71917i 0.288302 + 0.408512i
\(197\) 7.33528 + 4.23502i 0.522617 + 0.301733i 0.738005 0.674796i \(-0.235768\pi\)
−0.215388 + 0.976529i \(0.569102\pi\)
\(198\) 0.103403 + 7.84210i 0.00734855 + 0.557313i
\(199\) −15.5210 8.96106i −1.10025 0.635232i −0.163967 0.986466i \(-0.552429\pi\)
−0.936288 + 0.351233i \(0.885762\pi\)
\(200\) 2.48656 1.43561i 0.175826 0.101513i
\(201\) −16.6544 4.34506i −1.17471 0.306477i
\(202\) 4.24601 2.45144i 0.298748 0.172482i
\(203\) 0.821640 + 18.0522i 0.0576678 + 1.26702i
\(204\) −2.12560 7.72868i −0.148822 0.541116i
\(205\) 3.11322 + 5.39226i 0.217437 + 0.376612i
\(206\) −3.32576 −0.231717
\(207\) 15.9245 0.209975i 1.10683 0.0145943i
\(208\) 2.78447 2.29057i 0.193068 0.158822i
\(209\) −17.8119 −1.23207
\(210\) 12.2286 3.96948i 0.843855 0.273920i
\(211\) −11.6075 + 20.1047i −0.799091 + 1.38407i 0.121118 + 0.992638i \(0.461352\pi\)
−0.920209 + 0.391428i \(0.871981\pi\)
\(212\) 10.5836i 0.726885i
\(213\) −9.41263 + 2.58873i −0.644943 + 0.177377i
\(214\) 0.465208 0.805764i 0.0318010 0.0550809i
\(215\) −20.5940 −1.40450
\(216\) 3.60085 3.74618i 0.245007 0.254895i
\(217\) 16.1774 + 8.38341i 1.09819 + 0.569103i
\(218\) 9.69317 + 5.59636i 0.656504 + 0.379033i
\(219\) 3.40644 0.936864i 0.230186 0.0633074i
\(220\) −6.35185 + 3.66724i −0.428242 + 0.247246i
\(221\) −15.6232 5.85949i −1.05093 0.394152i
\(222\) 1.22559 + 1.20954i 0.0822562 + 0.0811787i
\(223\) 8.50389 + 4.90972i 0.569462 + 0.328779i 0.756935 0.653491i \(-0.226696\pi\)
−0.187472 + 0.982270i \(0.560029\pi\)
\(224\) 0.120296 + 2.64302i 0.00803761 + 0.176594i
\(225\) −0.113567 8.61294i −0.00757115 0.574196i
\(226\) 1.12636 1.95091i 0.0749243 0.129773i
\(227\) 10.0099 17.3377i 0.664383 1.15074i −0.315069 0.949069i \(-0.602028\pi\)
0.979452 0.201676i \(-0.0646389\pi\)
\(228\) 8.39946 + 8.28944i 0.556268 + 0.548982i
\(229\) 23.6469 + 13.6525i 1.56263 + 0.902185i 0.996990 + 0.0775340i \(0.0247046\pi\)
0.565641 + 0.824651i \(0.308629\pi\)
\(230\) 7.44686 + 12.8983i 0.491031 + 0.850491i
\(231\) −11.3947 + 3.69880i −0.749719 + 0.243363i
\(232\) −3.41508 + 5.91509i −0.224211 + 0.388345i
\(233\) −20.1926 11.6582i −1.32286 0.763754i −0.338677 0.940903i \(-0.609979\pi\)
−0.984184 + 0.177149i \(0.943313\pi\)
\(234\) −1.91489 10.6458i −0.125180 0.695938i
\(235\) −4.96714 8.60335i −0.324021 0.561220i
\(236\) 1.53008 + 2.65018i 0.0995999 + 0.172512i
\(237\) 0.347174 0.351781i 0.0225513 0.0228507i
\(238\) 10.3144 6.59785i 0.668582 0.427675i
\(239\) 12.6283i 0.816854i −0.912791 0.408427i \(-0.866077\pi\)
0.912791 0.408427i \(-0.133923\pi\)
\(240\) 4.70200 + 1.22673i 0.303513 + 0.0791852i
\(241\) 9.19785 + 5.31038i 0.592485 + 0.342072i 0.766080 0.642746i \(-0.222205\pi\)
−0.173594 + 0.984817i \(0.555538\pi\)
\(242\) −3.60756 + 2.08282i −0.231903 + 0.133889i
\(243\) −4.52863 14.9161i −0.290512 0.956871i
\(244\) −10.3394 5.96948i −0.661915 0.382157i
\(245\) 11.3239 + 16.0455i 0.723458 + 1.02511i
\(246\) −0.970392 + 3.71946i −0.0618699 + 0.237144i
\(247\) 24.2332 4.02980i 1.54192 0.256410i
\(248\) 3.44336 + 5.96408i 0.218654 + 0.378720i
\(249\) 1.49003 + 0.388743i 0.0944269 + 0.0246356i
\(250\) −5.17227 + 2.98621i −0.327123 + 0.188864i
\(251\) −10.7007 18.5341i −0.675421 1.16986i −0.976346 0.216216i \(-0.930628\pi\)
0.300924 0.953648i \(-0.402705\pi\)
\(252\) 7.09474 + 3.55875i 0.446926 + 0.224180i
\(253\) −6.93906 12.0188i −0.436255 0.755615i
\(254\) 18.6590i 1.17077i
\(255\) −5.96352 21.6833i −0.373450 1.35786i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 8.66830 + 15.0139i 0.540714 + 0.936543i 0.998863 + 0.0476683i \(0.0151790\pi\)
−0.458150 + 0.888875i \(0.651488\pi\)
\(258\) −9.04920 8.93066i −0.563378 0.555999i
\(259\) −1.21022 + 2.33534i −0.0751991 + 0.145111i
\(260\) 7.81204 6.42636i 0.484482 0.398546i
\(261\) 10.4783 + 17.6086i 0.648591 + 1.08995i
\(262\) 15.2072i 0.939504i
\(263\) 22.9360i 1.41430i 0.707066 + 0.707148i \(0.250019\pi\)
−0.707066 + 0.707148i \(0.749981\pi\)
\(264\) −4.38137 1.14308i −0.269655 0.0703518i
\(265\) 29.6931i 1.82403i
\(266\) −8.29410 + 16.0050i −0.508544 + 0.981332i
\(267\) 6.65765 + 24.2072i 0.407441 + 1.48146i
\(268\) 4.96864 8.60593i 0.303508 0.525691i
\(269\) −16.0590 + 27.8150i −0.979134 + 1.69591i −0.313578 + 0.949563i \(0.601528\pi\)
−0.665556 + 0.746348i \(0.731806\pi\)
\(270\) 10.1025 10.5102i 0.614816 0.639628i
\(271\) 8.03023 4.63626i 0.487802 0.281633i −0.235860 0.971787i \(-0.575791\pi\)
0.723662 + 0.690154i \(0.242457\pi\)
\(272\) 4.62784 0.280604
\(273\) 14.6658 7.61020i 0.887613 0.460590i
\(274\) −10.3994 −0.628251
\(275\) −6.50051 + 3.75307i −0.391995 + 0.226319i
\(276\) −2.32119 + 8.89699i −0.139719 + 0.535536i
\(277\) 4.92627 8.53254i 0.295991 0.512671i −0.679224 0.733931i \(-0.737684\pi\)
0.975215 + 0.221260i \(0.0710170\pi\)
\(278\) 5.17647 8.96591i 0.310464 0.537739i
\(279\) 20.6584 0.272395i 1.23679 0.0163078i
\(280\) 0.337499 + 7.41517i 0.0201694 + 0.443141i
\(281\) 8.70642i 0.519381i −0.965692 0.259691i \(-0.916379\pi\)
0.965692 0.259691i \(-0.0836206\pi\)
\(282\) 1.54826 5.93440i 0.0921976 0.353389i
\(283\) 12.7858i 0.760035i 0.924979 + 0.380017i \(0.124082\pi\)
−0.924979 + 0.380017i \(0.875918\pi\)
\(284\) 5.63617i 0.334445i
\(285\) 23.5653 + 23.2566i 1.39589 + 1.37760i
\(286\) −7.27933 + 5.98814i −0.430436 + 0.354086i
\(287\) −5.86568 + 0.266974i −0.346240 + 0.0157590i
\(288\) 1.53412 + 2.57807i 0.0903991 + 0.151914i
\(289\) −2.20843 3.82512i −0.129908 0.225007i
\(290\) −9.58125 + 16.5952i −0.562630 + 0.974504i
\(291\) 13.6280 3.74806i 0.798885 0.219715i
\(292\) 2.03973i 0.119366i
\(293\) 6.42265 + 11.1244i 0.375215 + 0.649892i 0.990359 0.138523i \(-0.0442354\pi\)
−0.615144 + 0.788415i \(0.710902\pi\)
\(294\) −1.98237 + 11.9612i −0.115614 + 0.697591i
\(295\) 4.29276 + 7.43527i 0.249934 + 0.432898i
\(296\) −0.860965 + 0.497079i −0.0500426 + 0.0288921i
\(297\) −9.41357 + 9.79348i −0.546231 + 0.568275i
\(298\) −9.41056 16.2996i −0.545139 0.944209i
\(299\) 12.1598 + 14.7817i 0.703218 + 0.854849i
\(300\) 4.81204 + 1.25544i 0.277823 + 0.0724829i
\(301\) 8.93568 17.2431i 0.515044 0.993876i
\(302\) −18.7215 10.8089i −1.07730 0.621980i
\(303\) 8.21697 + 2.14377i 0.472053 + 0.123157i
\(304\) −5.90055 + 3.40668i −0.338420 + 0.195387i
\(305\) −29.0080 16.7478i −1.66100 0.958976i
\(306\) 6.78263 12.1139i 0.387737 0.692508i
\(307\) 17.8915i 1.02112i 0.859842 + 0.510561i \(0.170562\pi\)
−0.859842 + 0.510561i \(0.829438\pi\)
\(308\) −0.314485 6.90953i −0.0179194 0.393707i
\(309\) −4.09997 4.04626i −0.233239 0.230184i
\(310\) 9.66060 + 16.7327i 0.548685 + 0.950351i
\(311\) −12.1246 21.0005i −0.687524 1.19083i −0.972636 0.232333i \(-0.925364\pi\)
0.285112 0.958494i \(-0.407969\pi\)
\(312\) 6.21949 + 0.563917i 0.352109 + 0.0319255i
\(313\) −24.7522 14.2907i −1.39908 0.807757i −0.404780 0.914414i \(-0.632652\pi\)
−0.994296 + 0.106657i \(0.965985\pi\)
\(314\) −2.56155 + 4.43673i −0.144557 + 0.250379i
\(315\) 19.9048 + 9.98434i 1.12151 + 0.562554i
\(316\) 0.142677 + 0.247123i 0.00802619 + 0.0139018i
\(317\) −4.70911 2.71880i −0.264490 0.152703i 0.361891 0.932220i \(-0.382131\pi\)
−0.626381 + 0.779517i \(0.715465\pi\)
\(318\) 12.8765 13.0474i 0.722077 0.731661i
\(319\) 8.92790 15.4636i 0.499866 0.865794i
\(320\) −1.40279 + 2.42970i −0.0784181 + 0.135824i
\(321\) 1.55383 0.427347i 0.0867265 0.0238522i
\(322\) −14.0308 + 0.638606i −0.781904 + 0.0355881i
\(323\) 27.3068 + 15.7656i 1.51939 + 0.877220i
\(324\) 8.99687 0.237301i 0.499826 0.0131834i
\(325\) 7.99486 6.57675i 0.443475 0.364812i
\(326\) 15.0975 8.71655i 0.836173 0.482765i
\(327\) 5.14089 + 18.6923i 0.284292 + 1.03369i
\(328\) −1.92198 1.10966i −0.106124 0.0612706i
\(329\) 9.35869 0.425958i 0.515961 0.0234838i
\(330\) −12.2922 3.20700i −0.676666 0.176539i
\(331\) 25.9427 1.42594 0.712969 0.701196i \(-0.247350\pi\)
0.712969 + 0.701196i \(0.247350\pi\)
\(332\) −0.444533 + 0.769953i −0.0243969 + 0.0422567i
\(333\) 0.0393225 + 2.98221i 0.00215486 + 0.163424i
\(334\) 3.90814i 0.213844i
\(335\) 13.9399 24.1445i 0.761616 1.31916i
\(336\) −3.06731 + 3.40465i −0.167335 + 0.185739i
\(337\) 14.7253 0.802138 0.401069 0.916048i \(-0.368639\pi\)
0.401069 + 0.916048i \(0.368639\pi\)
\(338\) 8.54879 9.79378i 0.464993 0.532711i
\(339\) 3.76213 1.03469i 0.204331 0.0561967i
\(340\) 12.9837 0.704141
\(341\) −9.00185 15.5917i −0.487477 0.844335i
\(342\) 0.269493 + 20.4383i 0.0145725 + 1.10518i
\(343\) −18.3481 + 2.51925i −0.990705 + 0.136027i
\(344\) 6.35698 3.67020i 0.342745 0.197884i
\(345\) −6.51226 + 24.9611i −0.350608 + 1.34386i
\(346\) −5.78620 + 3.34066i −0.311068 + 0.179595i
\(347\) −27.4410 15.8431i −1.47311 0.850501i −0.473568 0.880757i \(-0.657034\pi\)
−0.999542 + 0.0302562i \(0.990368\pi\)
\(348\) −11.4066 + 3.13714i −0.611460 + 0.168168i
\(349\) −6.37536 3.68081i −0.341265 0.197029i 0.319566 0.947564i \(-0.396463\pi\)
−0.660831 + 0.750534i \(0.729796\pi\)
\(350\) 0.345397 + 7.58870i 0.0184623 + 0.405633i
\(351\) 10.5915 15.4538i 0.565332 0.824863i
\(352\) 1.30713 2.26401i 0.0696702 0.120672i
\(353\) −13.0914 −0.696783 −0.348391 0.937349i \(-0.613272\pi\)
−0.348391 + 0.937349i \(0.613272\pi\)
\(354\) −1.33805 + 5.12869i −0.0711168 + 0.272587i
\(355\) 15.8127i 0.839249i
\(356\) −14.4950 −0.768232
\(357\) 20.7427 + 4.41516i 1.09782 + 0.233675i
\(358\) −4.06966 7.04886i −0.215088 0.372544i
\(359\) 4.73978 + 2.73651i 0.250156 + 0.144428i 0.619836 0.784732i \(-0.287199\pi\)
−0.369680 + 0.929159i \(0.620533\pi\)
\(360\) 4.30409 + 7.23297i 0.226846 + 0.381211i
\(361\) −27.4219 −1.44326
\(362\) 7.12887 + 12.3476i 0.374685 + 0.648974i
\(363\) −6.98143 1.82142i −0.366430 0.0956000i
\(364\) 1.99108 + 9.32929i 0.104361 + 0.488987i
\(365\) 5.72262i 0.299535i
\(366\) −5.48365 19.9386i −0.286635 1.04220i
\(367\) 5.81542i 0.303563i 0.988414 + 0.151781i \(0.0485009\pi\)
−0.988414 + 0.151781i \(0.951499\pi\)
\(368\) −4.59740 2.65431i −0.239656 0.138366i
\(369\) −5.72155 + 3.40470i −0.297852 + 0.177242i
\(370\) −2.41550 + 1.39459i −0.125576 + 0.0725012i
\(371\) 24.8616 + 12.8837i 1.29075 + 0.668889i
\(372\) −3.01121 + 11.5418i −0.156124 + 0.598416i
\(373\) −12.6121 −0.653030 −0.326515 0.945192i \(-0.605874\pi\)
−0.326515 + 0.945192i \(0.605874\pi\)
\(374\) −12.0984 −0.625591
\(375\) −10.0095 2.61143i −0.516887 0.134854i
\(376\) 3.06652 + 1.77046i 0.158144 + 0.0913044i
\(377\) −8.64793 + 23.0581i −0.445391 + 1.18755i
\(378\) 4.41660 + 13.0190i 0.227165 + 0.669624i
\(379\) 5.50295 9.53139i 0.282668 0.489595i −0.689373 0.724406i \(-0.742114\pi\)
0.972041 + 0.234812i \(0.0754473\pi\)
\(380\) −16.5544 + 9.55769i −0.849223 + 0.490299i
\(381\) 22.7013 23.0026i 1.16302 1.17846i
\(382\) 0.915669 + 1.58599i 0.0468497 + 0.0811461i
\(383\) −22.1992 −1.13433 −0.567164 0.823605i \(-0.691959\pi\)
−0.567164 + 0.823605i \(0.691959\pi\)
\(384\) −1.67004 + 0.459307i −0.0852239 + 0.0234389i
\(385\) −0.882309 19.3852i −0.0449667 0.987960i
\(386\) −1.44326 + 0.833264i −0.0734598 + 0.0424120i
\(387\) −0.290339 22.0193i −0.0147588 1.11930i
\(388\) 8.16025i 0.414274i
\(389\) −8.80457 + 5.08332i −0.446409 + 0.257735i −0.706313 0.707900i \(-0.749643\pi\)
0.259903 + 0.965635i \(0.416309\pi\)
\(390\) 17.4492 + 1.58211i 0.883575 + 0.0801132i
\(391\) 24.5674i 1.24243i
\(392\) −6.35506 2.93483i −0.320979 0.148231i
\(393\) 18.5018 18.7473i 0.933290 0.945677i
\(394\) −8.47005 −0.426715
\(395\) 0.400290 + 0.693322i 0.0201408 + 0.0348848i
\(396\) −4.01060 6.73975i −0.201540 0.338685i
\(397\) 27.0040i 1.35529i 0.735387 + 0.677647i \(0.237000\pi\)
−0.735387 + 0.677647i \(0.763000\pi\)
\(398\) 17.9221 0.898354
\(399\) −29.6973 + 9.63992i −1.48673 + 0.482600i
\(400\) −1.43561 + 2.48656i −0.0717807 + 0.124328i
\(401\) 15.2872 8.82607i 0.763407 0.440753i −0.0671109 0.997746i \(-0.521378\pi\)
0.830518 + 0.556993i \(0.188045\pi\)
\(402\) 16.5956 4.56426i 0.827716 0.227645i
\(403\) 15.7745 + 19.1759i 0.785785 + 0.955220i
\(404\) −2.45144 + 4.24601i −0.121963 + 0.211247i
\(405\) 25.2414 0.665764i 1.25425 0.0330821i
\(406\) −9.73767 15.2229i −0.483272 0.755497i
\(407\) 2.25079 1.29949i 0.111567 0.0644134i
\(408\) 5.70516 + 5.63043i 0.282448 + 0.278748i
\(409\) −27.1340 15.6658i −1.34169 0.774626i −0.354636 0.935004i \(-0.615395\pi\)
−0.987056 + 0.160378i \(0.948729\pi\)
\(410\) −5.39226 3.11322i −0.266305 0.153751i
\(411\) −12.8203 12.6524i −0.632379 0.624095i
\(412\) 2.88019 1.66288i 0.141897 0.0819242i
\(413\) −8.08807 + 0.368126i −0.397988 + 0.0181143i
\(414\) −13.6860 + 8.14408i −0.672631 + 0.400260i
\(415\) −1.24717 + 2.16016i −0.0612211 + 0.106038i
\(416\) −1.26614 + 3.37593i −0.0620776 + 0.165518i
\(417\) 17.2898 4.75518i 0.846687 0.232862i
\(418\) 15.4256 8.90595i 0.754489 0.435604i
\(419\) 19.9157 34.4951i 0.972948 1.68520i 0.286400 0.958110i \(-0.407541\pi\)
0.686547 0.727085i \(-0.259125\pi\)
\(420\) −8.60555 + 9.55198i −0.419908 + 0.466089i
\(421\) −15.2089 −0.741237 −0.370618 0.928785i \(-0.620854\pi\)
−0.370618 + 0.928785i \(0.620854\pi\)
\(422\) 23.2149i 1.13009i
\(423\) 9.12874 5.43220i 0.443855 0.264123i
\(424\) 5.29180 + 9.16567i 0.256993 + 0.445124i
\(425\) 13.2876 0.644542
\(426\) 6.85721 6.94822i 0.332233 0.336642i
\(427\) 26.6092 17.0212i 1.28771 0.823714i
\(428\) 0.930416i 0.0449734i
\(429\) −16.2593 1.47422i −0.785009 0.0711762i
\(430\) 17.8350 10.2970i 0.860078 0.496566i
\(431\) 7.33386i 0.353259i −0.984277 0.176630i \(-0.943480\pi\)
0.984277 0.176630i \(-0.0565195\pi\)
\(432\) −1.24534 + 5.04471i −0.0599166 + 0.242714i
\(433\) −10.9441 + 6.31856i −0.525938 + 0.303650i −0.739361 0.673310i \(-0.764872\pi\)
0.213423 + 0.976960i \(0.431539\pi\)
\(434\) −18.2017 + 0.828446i −0.873711 + 0.0397667i
\(435\) −32.0021 + 8.80147i −1.53439 + 0.421998i
\(436\) −11.1927 −0.536034
\(437\) −18.0848 31.3238i −0.865113 1.49842i
\(438\) −2.48163 + 2.51457i −0.118577 + 0.120151i
\(439\) −7.60721 + 4.39203i −0.363072 + 0.209620i −0.670428 0.741975i \(-0.733889\pi\)
0.307355 + 0.951595i \(0.400556\pi\)
\(440\) 3.66724 6.35185i 0.174829 0.302813i
\(441\) −16.9964 + 12.3338i −0.809351 + 0.587325i
\(442\) 16.4599 2.73716i 0.782916 0.130193i
\(443\) −24.2732 14.0141i −1.15325 0.665831i −0.203575 0.979059i \(-0.565256\pi\)
−0.949678 + 0.313229i \(0.898589\pi\)
\(444\) −1.66616 0.434694i −0.0790724 0.0206297i
\(445\) −40.6667 −1.92779
\(446\) −9.81944 −0.464964
\(447\) 8.22951 31.5433i 0.389243 1.49195i
\(448\) −1.42569 2.22877i −0.0673574 0.105299i
\(449\) 8.81604 5.08994i 0.416055 0.240209i −0.277333 0.960774i \(-0.589451\pi\)
0.693388 + 0.720565i \(0.256117\pi\)
\(450\) 4.40482 + 7.40224i 0.207645 + 0.348945i
\(451\) 5.02456 + 2.90093i 0.236597 + 0.136600i
\(452\) 2.25272i 0.105959i
\(453\) −9.92917 36.1025i −0.466513 1.69624i
\(454\) 20.0199i 0.939579i
\(455\) 5.58612 + 26.1740i 0.261881 + 1.22705i
\(456\) −11.4189 2.97913i −0.534737 0.139511i
\(457\) −1.61851 2.80333i −0.0757105 0.131134i 0.825685 0.564132i \(-0.190789\pi\)
−0.901395 + 0.432998i \(0.857456\pi\)
\(458\) −27.3051 −1.27588
\(459\) 23.0999 6.68194i 1.07821 0.311886i
\(460\) −12.8983 7.44686i −0.601388 0.347212i
\(461\) 10.6827 + 18.5030i 0.497545 + 0.861773i 0.999996 0.00283284i \(-0.000901722\pi\)
−0.502451 + 0.864606i \(0.667568\pi\)
\(462\) 8.01874 8.90063i 0.373066 0.414095i
\(463\) 5.12785 0.238311 0.119156 0.992876i \(-0.461981\pi\)
0.119156 + 0.992876i \(0.461981\pi\)
\(464\) 6.83016i 0.317082i
\(465\) −8.44817 + 32.3814i −0.391775 + 1.50165i
\(466\) 23.3164 1.08011
\(467\) −6.23453 + 10.7985i −0.288500 + 0.499696i −0.973452 0.228892i \(-0.926490\pi\)
0.684952 + 0.728588i \(0.259823\pi\)
\(468\) 6.98125 + 8.26209i 0.322708 + 0.381915i
\(469\) 14.1674 + 22.1479i 0.654191 + 1.02269i
\(470\) 8.60335 + 4.96714i 0.396843 + 0.229117i
\(471\) −8.55579 + 2.35308i −0.394230 + 0.108424i
\(472\) −2.65018 1.53008i −0.121985 0.0704278i
\(473\) −16.6188 + 9.59486i −0.764133 + 0.441172i
\(474\) −0.124770 + 0.478238i −0.00573089 + 0.0219662i
\(475\) −16.9418 + 9.78136i −0.777344 + 0.448800i
\(476\) −5.63360 + 10.8711i −0.258215 + 0.498276i
\(477\) 31.7481 0.418619i 1.45364 0.0191673i
\(478\) 6.31413 + 10.9364i 0.288802 + 0.500219i
\(479\) 0.300985 0.0137524 0.00687619 0.999976i \(-0.497811\pi\)
0.00687619 + 0.999976i \(0.497811\pi\)
\(480\) −4.68542 + 1.28862i −0.213859 + 0.0588172i
\(481\) −2.76820 + 2.27719i −0.126219 + 0.103831i
\(482\) −10.6208 −0.483762
\(483\) −18.0740 16.2832i −0.822394 0.740911i
\(484\) 2.08282 3.60756i 0.0946738 0.163980i
\(485\) 22.8942i 1.03957i
\(486\) 11.3800 + 10.6534i 0.516207 + 0.483250i
\(487\) −15.3957 + 26.6662i −0.697646 + 1.20836i 0.271634 + 0.962401i \(0.412436\pi\)
−0.969280 + 0.245958i \(0.920897\pi\)
\(488\) 11.9390 0.540451
\(489\) 29.2170 + 7.62260i 1.32124 + 0.344706i
\(490\) −17.8296 8.23388i −0.805458 0.371969i
\(491\) −3.83785 2.21578i −0.173200 0.0999968i 0.410894 0.911683i \(-0.365217\pi\)
−0.584094 + 0.811686i \(0.698550\pi\)
\(492\) −1.01935 3.70635i −0.0459557 0.167095i
\(493\) −27.3741 + 15.8044i −1.23287 + 0.711795i
\(494\) −18.9716 + 15.6065i −0.853574 + 0.702169i
\(495\) −11.2520 18.9089i −0.505741 0.849890i
\(496\) −5.96408 3.44336i −0.267795 0.154612i
\(497\) 13.2397 + 6.86106i 0.593883 + 0.307761i
\(498\) −1.48478 + 0.408354i −0.0665344 + 0.0182988i
\(499\) −6.28345 + 10.8833i −0.281286 + 0.487201i −0.971702 0.236211i \(-0.924094\pi\)
0.690416 + 0.723413i \(0.257428\pi\)
\(500\) 2.98621 5.17227i 0.133547 0.231311i
\(501\) 4.75482 4.81793i 0.212430 0.215249i
\(502\) 18.5341 + 10.7007i 0.827219 + 0.477595i
\(503\) −2.69186 4.66244i −0.120024 0.207888i 0.799753 0.600329i \(-0.204964\pi\)
−0.919777 + 0.392441i \(0.871631\pi\)
\(504\) −7.92360 + 0.465397i −0.352945 + 0.0207304i
\(505\) −6.87768 + 11.9125i −0.306053 + 0.530099i
\(506\) 12.0188 + 6.93906i 0.534301 + 0.308479i
\(507\) 22.4544 1.67286i 0.997236 0.0742942i
\(508\) 9.32949 + 16.1591i 0.413929 + 0.716946i
\(509\) −16.1821 28.0282i −0.717258 1.24233i −0.962082 0.272760i \(-0.912063\pi\)
0.244824 0.969568i \(-0.421270\pi\)
\(510\) 16.0062 + 15.7966i 0.708768 + 0.699484i
\(511\) −4.79147 2.48303i −0.211962 0.109843i
\(512\) 1.00000i 0.0441942i
\(513\) −24.5339 + 25.5241i −1.08320 + 1.12692i
\(514\) −15.0139 8.66830i −0.662236 0.382342i
\(515\) 8.08058 4.66533i 0.356073 0.205579i
\(516\) 12.3022 + 3.20958i 0.541573 + 0.141294i
\(517\) −8.01668 4.62843i −0.352573 0.203558i
\(518\) −0.119593 2.62757i −0.00525462 0.115449i
\(519\) −11.1976 2.92140i −0.491519 0.128235i
\(520\) −3.55224 + 9.47141i −0.155776 + 0.415349i
\(521\) 20.4045 + 35.3416i 0.893936 + 1.54834i 0.835115 + 0.550075i \(0.185401\pi\)
0.0588209 + 0.998269i \(0.481266\pi\)
\(522\) −17.8788 10.0104i −0.782534 0.438143i
\(523\) 0.576762 0.332994i 0.0252200 0.0145608i −0.487337 0.873214i \(-0.662032\pi\)
0.512557 + 0.858653i \(0.328698\pi\)
\(524\) 7.60360 + 13.1698i 0.332165 + 0.575326i
\(525\) −8.80695 + 9.77552i −0.384367 + 0.426639i
\(526\) −11.4680 19.8632i −0.500029 0.866076i
\(527\) 31.8706i 1.38831i
\(528\) 4.36592 1.20075i 0.190002 0.0522559i
\(529\) 2.59073 4.48728i 0.112641 0.195099i
\(530\) 14.8465 + 25.7149i 0.644892 + 1.11699i
\(531\) −7.88934 + 4.69468i −0.342368 + 0.203732i
\(532\) −0.819620 18.0078i −0.0355350 0.780738i
\(533\) −7.49224 2.80996i −0.324525 0.121713i
\(534\) −17.8693 17.6352i −0.773280 0.763151i
\(535\) 2.61035i 0.112855i
\(536\) 9.93727i 0.429225i
\(537\) 3.55891 13.6411i 0.153578 0.588657i
\(538\) 32.1180i 1.38470i
\(539\) 16.6138 + 7.67242i 0.715606 + 0.330474i
\(540\) −3.49390 + 14.1533i −0.150353 + 0.609061i
\(541\) −8.21186 + 14.2234i −0.353056 + 0.611510i −0.986783 0.162046i \(-0.948191\pi\)
0.633728 + 0.773556i \(0.281524\pi\)
\(542\) −4.63626 + 8.03023i −0.199144 + 0.344928i
\(543\) −6.23418 + 23.8953i −0.267534 + 1.02545i
\(544\) −4.00782 + 2.31392i −0.171834 + 0.0992084i
\(545\) −31.4019 −1.34511
\(546\) −8.89583 + 13.9235i −0.380706 + 0.595871i
\(547\) −1.77847 −0.0760420 −0.0380210 0.999277i \(-0.512105\pi\)
−0.0380210 + 0.999277i \(0.512105\pi\)
\(548\) 9.00615 5.19970i 0.384723 0.222120i
\(549\) 17.4979 31.2517i 0.746793 1.33379i
\(550\) 3.75307 6.50051i 0.160031 0.277182i
\(551\) 23.2682 40.3017i 0.991258 1.71691i
\(552\) −2.43829 8.86562i −0.103780 0.377346i
\(553\) −0.754193 + 0.0343269i −0.0320716 + 0.00145973i
\(554\) 9.85253i 0.418594i
\(555\) −4.67453 1.21956i −0.198423 0.0517676i
\(556\) 10.3529i 0.439062i
\(557\) 27.1059i 1.14852i 0.818674 + 0.574258i \(0.194709\pi\)
−0.818674 + 0.574258i \(0.805291\pi\)
\(558\) −17.7545 + 10.5651i −0.751608 + 0.447256i
\(559\) 20.4392 16.8137i 0.864485 0.711144i
\(560\) −3.99987 6.25297i −0.169025 0.264236i
\(561\) −14.9148 14.7194i −0.629702 0.621454i
\(562\) 4.35321 + 7.53998i 0.183629 + 0.318055i
\(563\) −13.5973 + 23.5513i −0.573060 + 0.992568i 0.423190 + 0.906041i \(0.360910\pi\)
−0.996249 + 0.0865273i \(0.972423\pi\)
\(564\) 1.62637 + 5.91347i 0.0684825 + 0.249002i
\(565\) 6.32016i 0.265891i
\(566\) −6.39288 11.0728i −0.268713 0.465424i
\(567\) −10.3947 + 21.4231i −0.436537 + 0.899686i
\(568\) 2.81808 + 4.88106i 0.118244 + 0.204805i
\(569\) 15.3433 8.85846i 0.643224 0.371366i −0.142631 0.989776i \(-0.545556\pi\)
0.785856 + 0.618410i \(0.212223\pi\)
\(570\) −32.0364 8.35817i −1.34186 0.350085i
\(571\) −8.22208 14.2411i −0.344083 0.595970i 0.641103 0.767454i \(-0.278477\pi\)
−0.985187 + 0.171485i \(0.945144\pi\)
\(572\) 3.31002 8.82555i 0.138399 0.369015i
\(573\) −0.800750 + 3.06923i −0.0334518 + 0.128219i
\(574\) 4.94634 3.16405i 0.206456 0.132065i
\(575\) −13.2002 7.62113i −0.550486 0.317823i
\(576\) −2.61763 1.46562i −0.109068 0.0610673i
\(577\) 5.20953 3.00772i 0.216876 0.125213i −0.387627 0.921816i \(-0.626705\pi\)
0.604503 + 0.796603i \(0.293372\pi\)
\(578\) 3.82512 + 2.20843i 0.159104 + 0.0918587i
\(579\) −2.79302 0.728687i −0.116074 0.0302832i
\(580\) 19.1625i 0.795679i
\(581\) −1.26753 1.98152i −0.0525860 0.0822074i
\(582\) −9.92812 + 10.0599i −0.411534 + 0.416996i
\(583\) −13.8341 23.9614i −0.572952 0.992381i
\(584\) −1.01987 1.76646i −0.0422024 0.0730967i
\(585\) 19.5864 + 23.1799i 0.809797 + 0.958370i
\(586\) −11.1244 6.42265i −0.459543 0.265317i
\(587\) −2.25980 + 3.91408i −0.0932718 + 0.161551i −0.908886 0.417045i \(-0.863066\pi\)
0.815614 + 0.578596i \(0.196399\pi\)
\(588\) −4.26382 11.3499i −0.175837 0.468061i
\(589\) −23.4609 40.6355i −0.966689 1.67435i
\(590\) −7.43527 4.29276i −0.306105 0.176730i
\(591\) −10.4418 10.3050i −0.429519 0.423892i
\(592\) 0.497079 0.860965i 0.0204298 0.0353855i
\(593\) 1.70266 2.94909i 0.0699198 0.121105i −0.828946 0.559329i \(-0.811059\pi\)
0.898866 + 0.438224i \(0.144392\pi\)
\(594\) 3.25565 13.1882i 0.133581 0.541118i
\(595\) −15.8055 + 30.4996i −0.647960 + 1.25036i
\(596\) 16.2996 + 9.41056i 0.667657 + 0.385472i
\(597\) 22.0942 + 21.8048i 0.904257 + 0.892413i
\(598\) −17.9215 6.72146i −0.732866 0.274861i
\(599\) 7.92694 4.57662i 0.323886 0.186996i −0.329237 0.944247i \(-0.606792\pi\)
0.653123 + 0.757252i \(0.273458\pi\)
\(600\) −4.79507 + 1.31878i −0.195758 + 0.0538388i
\(601\) 27.4175 + 15.8295i 1.11838 + 0.645699i 0.940988 0.338440i \(-0.109899\pi\)
0.177396 + 0.984140i \(0.443233\pi\)
\(602\) 0.883021 + 19.4008i 0.0359893 + 0.790718i
\(603\) 26.0121 + 14.5642i 1.05929 + 0.593101i
\(604\) 21.6177 0.879612
\(605\) 5.84351 10.1213i 0.237573 0.411488i
\(606\) −8.18800 + 2.25192i −0.332615 + 0.0914782i
\(607\) 24.7598i 1.00497i 0.864586 + 0.502485i \(0.167581\pi\)
−0.864586 + 0.502485i \(0.832419\pi\)
\(608\) 3.40668 5.90055i 0.138159 0.239299i
\(609\) 6.51628 30.6139i 0.264053 1.24054i
\(610\) 33.4956 1.35620
\(611\) 11.9539 + 4.48329i 0.483602 + 0.181375i
\(612\) 0.183047 + 13.8823i 0.00739925 + 0.561159i
\(613\) −9.83195 −0.397109 −0.198554 0.980090i \(-0.563625\pi\)
−0.198554 + 0.980090i \(0.563625\pi\)
\(614\) −8.94575 15.4945i −0.361021 0.625307i
\(615\) −2.85985 10.3984i −0.115320 0.419305i
\(616\) 3.72712 + 5.82658i 0.150170 + 0.234760i
\(617\) 30.7175 17.7348i 1.23664 0.713975i 0.268234 0.963354i \(-0.413560\pi\)
0.968406 + 0.249379i \(0.0802265\pi\)
\(618\) 5.57381 + 1.45418i 0.224211 + 0.0584958i
\(619\) −3.76659 + 2.17464i −0.151392 + 0.0874062i −0.573782 0.819008i \(-0.694524\pi\)
0.422390 + 0.906414i \(0.361191\pi\)
\(620\) −16.7327 9.66060i −0.672000 0.387979i
\(621\) −26.7805 6.61105i −1.07466 0.265292i
\(622\) 21.0005 + 12.1246i 0.842042 + 0.486153i
\(623\) 17.6451 34.0497i 0.706938 1.36417i
\(624\) −5.66819 + 2.62138i −0.226909 + 0.104939i
\(625\) 15.5561 26.9439i 0.622244 1.07776i
\(626\) 28.5814 1.14234
\(627\) 29.8519 + 7.78823i 1.19217 + 0.311032i
\(628\) 5.12310i 0.204434i
\(629\) −4.60080 −0.183446
\(630\) −22.2302 + 1.30570i −0.885673 + 0.0520205i
\(631\) −13.5641 23.4938i −0.539979 0.935272i −0.998904 0.0467969i \(-0.985099\pi\)
0.458925 0.888475i \(-0.348235\pi\)
\(632\) −0.247123 0.142677i −0.00983004 0.00567537i
\(633\) 28.2443 28.6192i 1.12261 1.13751i
\(634\) 5.43761 0.215955
\(635\) 26.1745 + 45.3356i 1.03871 + 1.79909i
\(636\) −4.62767 + 17.7376i −0.183499 + 0.703342i
\(637\) −24.3389 6.67962i −0.964343 0.264656i
\(638\) 17.8558i 0.706918i
\(639\) 16.9070 0.222930i 0.668832 0.00881899i
\(640\) 2.80557i 0.110900i
\(641\) −9.90421 5.71820i −0.391193 0.225855i 0.291484 0.956576i \(-0.405851\pi\)
−0.682677 + 0.730720i \(0.739184\pi\)
\(642\) −1.13199 + 1.14701i −0.0446759 + 0.0452689i
\(643\) −24.5334 + 14.1644i −0.967503 + 0.558588i −0.898474 0.439026i \(-0.855323\pi\)
−0.0690290 + 0.997615i \(0.521990\pi\)
\(644\) 11.8317 7.56843i 0.466234 0.298238i
\(645\) 34.5146 + 9.00471i 1.35901 + 0.354560i
\(646\) −31.5311 −1.24058
\(647\) −30.9650 −1.21736 −0.608680 0.793416i \(-0.708301\pi\)
−0.608680 + 0.793416i \(0.708301\pi\)
\(648\) −7.67287 + 4.70394i −0.301419 + 0.184788i
\(649\) 6.92826 + 4.00003i 0.271958 + 0.157015i
\(650\) −3.63538 + 9.69306i −0.142591 + 0.380193i
\(651\) −23.4469 21.1237i −0.918955 0.827904i
\(652\) −8.71655 + 15.0975i −0.341366 + 0.591264i
\(653\) 30.8381 17.8044i 1.20679 0.696740i 0.244733 0.969591i \(-0.421300\pi\)
0.962056 + 0.272851i \(0.0879665\pi\)
\(654\) −13.7983 13.6175i −0.539556 0.532488i
\(655\) 21.3324 + 36.9489i 0.833527 + 1.44371i
\(656\) 2.21931 0.0866497
\(657\) −6.11867 + 0.0806787i −0.238712 + 0.00314758i
\(658\) −7.89189 + 5.04824i −0.307658 + 0.196801i
\(659\) 15.6644 9.04383i 0.610197 0.352298i −0.162845 0.986652i \(-0.552067\pi\)
0.773043 + 0.634354i \(0.218734\pi\)
\(660\) 12.2489 3.36878i 0.476788 0.131130i
\(661\) 20.0039i 0.778060i 0.921225 + 0.389030i \(0.127190\pi\)
−0.921225 + 0.389030i \(0.872810\pi\)
\(662\) −22.4670 + 12.9713i −0.873205 + 0.504145i
\(663\) 23.6217 + 16.6515i 0.917392 + 0.646689i
\(664\) 0.889066i 0.0345024i
\(665\) −2.29950 50.5222i −0.0891709 1.95917i
\(666\) −1.52516 2.56301i −0.0590988 0.0993146i
\(667\) 36.2587 1.40394
\(668\) 1.95407 + 3.38455i 0.0756053 + 0.130952i
\(669\) −12.1053 11.9468i −0.468019 0.461889i
\(670\) 27.8797i 1.07709i
\(671\) −31.2115 −1.20491
\(672\) 0.954045 4.48216i 0.0368031 0.172903i
\(673\) 13.8523 23.9928i 0.533966 0.924856i −0.465247 0.885181i \(-0.654034\pi\)
0.999213 0.0396751i \(-0.0126323\pi\)
\(674\) −12.7525 + 7.36265i −0.491207 + 0.283599i
\(675\) −3.57566 + 14.4845i −0.137627 + 0.557510i
\(676\) −2.50658 + 12.7561i −0.0964070 + 0.490618i
\(677\) 13.8948 24.0666i 0.534022 0.924953i −0.465188 0.885212i \(-0.654013\pi\)
0.999210 0.0397412i \(-0.0126534\pi\)
\(678\) −2.74076 + 2.77713i −0.105258 + 0.106655i
\(679\) −19.1690 9.93371i −0.735638 0.381221i
\(680\) −11.2442 + 6.49186i −0.431197 + 0.248952i
\(681\) −24.3571 + 24.6803i −0.933365 + 0.945753i
\(682\) 15.5917 + 9.00185i 0.597035 + 0.344699i
\(683\) 9.59167 + 5.53775i 0.367015 + 0.211896i 0.672154 0.740412i \(-0.265369\pi\)
−0.305139 + 0.952308i \(0.598703\pi\)
\(684\) −10.4525 17.5654i −0.399663 0.671628i
\(685\) 25.2674 14.5881i 0.965417 0.557384i
\(686\) 14.6303 11.3558i 0.558588 0.433566i
\(687\) −33.6615 33.2206i −1.28427 1.26744i
\(688\) −3.67020 + 6.35698i −0.139925 + 0.242358i
\(689\) 24.2425 + 29.4698i 0.923565 + 1.12271i
\(690\) −6.84079 24.8731i −0.260425 0.946903i
\(691\) −19.1106 + 11.0335i −0.727001 + 0.419734i −0.817324 0.576178i \(-0.804543\pi\)
0.0903230 + 0.995913i \(0.471210\pi\)
\(692\) 3.34066 5.78620i 0.126993 0.219958i
\(693\) 20.7143 1.21667i 0.786873 0.0462174i
\(694\) 31.6862 1.20279
\(695\) 29.0459i 1.10177i
\(696\) 8.30987 8.42017i 0.314985 0.319166i
\(697\) −5.13531 8.89462i −0.194514 0.336908i
\(698\) 7.36163 0.278642
\(699\) 28.7443 + 28.3678i 1.08721 + 1.07297i
\(700\) −4.09347 6.39931i −0.154719 0.241871i
\(701\) 38.0341i 1.43653i 0.695770 + 0.718264i \(0.255063\pi\)
−0.695770 + 0.718264i \(0.744937\pi\)
\(702\) −1.44560 + 18.6791i −0.0545607 + 0.704999i
\(703\) 5.86607 3.38678i 0.221243 0.127735i
\(704\) 2.61426i 0.0985286i
\(705\) 4.56289 + 16.5907i 0.171848 + 0.624841i
\(706\) 11.3375 6.54568i 0.426691 0.246350i
\(707\) −6.98996 10.9274i −0.262884 0.410966i
\(708\) −1.40556 5.11060i −0.0528241 0.192068i
\(709\) 33.8438 1.27103 0.635516 0.772088i \(-0.280788\pi\)
0.635516 + 0.772088i \(0.280788\pi\)
\(710\) 7.90633 + 13.6942i 0.296719 + 0.513933i
\(711\) −0.735662 + 0.437767i −0.0275895 + 0.0164176i
\(712\) 12.5530 7.24749i 0.470444 0.271611i
\(713\) 18.2795 31.6611i 0.684573 1.18572i
\(714\) −20.1713 + 6.54772i −0.754892 + 0.245042i
\(715\) 9.28649 24.7607i 0.347295 0.925998i
\(716\) 7.04886 + 4.06966i 0.263428 + 0.152090i
\(717\) −5.52169 + 21.1644i −0.206211 + 0.790397i
\(718\) −5.47303 −0.204252
\(719\) −4.19161 −0.156321 −0.0781603 0.996941i \(-0.524905\pi\)
−0.0781603 + 0.996941i \(0.524905\pi\)
\(720\) −7.34394 4.11189i −0.273692 0.153241i
\(721\) 0.400075 + 8.79003i 0.0148996 + 0.327358i
\(722\) 23.7481 13.7110i 0.883812 0.510269i
\(723\) −13.0932 12.9217i −0.486941 0.480563i
\(724\) −12.3476 7.12887i −0.458894 0.264942i
\(725\) 19.6109i 0.728332i
\(726\) 6.95680 1.91331i 0.258191 0.0710097i
\(727\) 5.71419i 0.211927i 0.994370 + 0.105964i \(0.0337927\pi\)
−0.994370 + 0.105964i \(0.966207\pi\)
\(728\) −6.38897 7.08386i −0.236791 0.262545i
\(729\) 1.06770 + 26.9789i 0.0395444 + 0.999218i
\(730\) −2.86131 4.95593i −0.105902 0.183427i
\(731\) 33.9702 1.25643
\(732\) 14.7183 + 14.5255i 0.544002 + 0.536877i
\(733\) −33.9503 19.6012i −1.25398 0.723988i −0.282086 0.959389i \(-0.591026\pi\)
−0.971898 + 0.235401i \(0.924360\pi\)
\(734\) −2.90771 5.03630i −0.107326 0.185893i
\(735\) −11.9624 31.8429i −0.441241 1.17454i
\(736\) 5.30862 0.195678
\(737\) 25.9786i 0.956934i
\(738\) 3.25266 5.80934i 0.119732 0.213845i
\(739\) −31.0684 −1.14287 −0.571434 0.820648i \(-0.693613\pi\)
−0.571434 + 0.820648i \(0.693613\pi\)
\(740\) 1.39459 2.41550i 0.0512661 0.0887955i
\(741\) −42.3756 3.84217i −1.55671 0.141146i
\(742\) −27.9726 + 1.27316i −1.02691 + 0.0467394i
\(743\) −40.3395 23.2900i −1.47991 0.854427i −0.480170 0.877175i \(-0.659425\pi\)
−0.999741 + 0.0227483i \(0.992758\pi\)
\(744\) −3.16312 11.5011i −0.115966 0.421651i
\(745\) 45.7296 + 26.4020i 1.67540 + 0.967295i
\(746\) 10.9224 6.30605i 0.399898 0.230881i
\(747\) −2.32724 1.30303i −0.0851493 0.0476753i
\(748\) 10.4775 6.04918i 0.383095 0.221180i
\(749\) −2.18561 1.13262i −0.0798604 0.0413851i
\(750\) 9.97418 2.74318i 0.364206 0.100167i
\(751\) −17.6612 30.5901i −0.644465 1.11625i −0.984425 0.175807i \(-0.943747\pi\)
0.339959 0.940440i \(-0.389587\pi\)
\(752\) −3.54092 −0.129124
\(753\) 9.82981 + 35.7412i 0.358218 + 1.30248i
\(754\) −4.03973 24.2929i −0.147118 0.884695i
\(755\) 60.6500 2.20728
\(756\) −10.3344 9.06646i −0.375858 0.329744i
\(757\) −5.80540 + 10.0552i −0.211001 + 0.365464i −0.952028 0.306011i \(-0.901006\pi\)
0.741027 + 0.671475i \(0.234339\pi\)
\(758\) 11.0059i 0.399753i
\(759\) 6.37432 + 23.1770i 0.231373 + 0.841272i
\(760\) 9.55769 16.5544i 0.346694 0.600491i
\(761\) −35.7705 −1.29668 −0.648341 0.761350i \(-0.724537\pi\)
−0.648341 + 0.761350i \(0.724537\pi\)
\(762\) −8.15861 + 31.2715i −0.295555 + 1.13285i
\(763\) 13.6252 26.2924i 0.493265 0.951850i
\(764\) −1.58599 0.915669i −0.0573790 0.0331278i
\(765\) 0.513552 + 38.9478i 0.0185675 + 1.40816i
\(766\) 19.2251 11.0996i 0.694631 0.401045i
\(767\) −10.3309 3.87460i −0.373027 0.139904i
\(768\) 1.21664 1.23279i 0.0439019 0.0444846i
\(769\) 42.9221 + 24.7811i 1.54781 + 0.893629i 0.998309 + 0.0581373i \(0.0185161\pi\)
0.549503 + 0.835492i \(0.314817\pi\)
\(770\) 10.4567 + 16.3469i 0.376833 + 0.589101i
\(771\) −7.96283 28.9528i −0.286774 1.04271i
\(772\) 0.833264 1.44326i 0.0299898 0.0519439i
\(773\) 14.5885 25.2680i 0.524711 0.908826i −0.474875 0.880053i \(-0.657507\pi\)
0.999586 0.0287728i \(-0.00915992\pi\)
\(774\) 11.2611 + 18.9241i 0.404772