Properties

Label 546.2.u.a.185.1
Level $546$
Weight $2$
Character 546.185
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 185.1
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.1

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 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 0.988082 + 0.153926i \(0.0491916\pi\)
−0.360738 + 0.932667i \(0.617475\pi\)
\(6\) 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 \(0.128949\pi\)
−0.919061 + 0.394114i \(0.871051\pi\)
\(12\) −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 −0.997391 0.0721824i \(-0.977004\pi\)
0.436184 0.899858i \(-0.356330\pi\)
\(18\) −2.99974 0.0395536i −0.707045 0.00932286i
\(19\) 6.81336i 1.56309i 0.623847 + 0.781546i \(0.285569\pi\)
−0.623847 + 0.781546i \(0.714431\pi\)
\(20\) −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 0.895749 0.444559i \(-0.146640\pi\)
0.0628751 + 0.998021i \(0.479973\pi\)
\(24\) 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 0.162603 0.986692i \(-0.448011\pi\)
0.935802 + 0.352527i \(0.114678\pi\)
\(30\) 1.22673 + 4.70200i 0.223970 + 0.858464i
\(31\) 5.96408 + 3.44336i 1.07118 + 0.618446i 0.928504 0.371323i \(-0.121096\pi\)
0.142677 + 0.989769i \(0.454429\pi\)
\(32\) 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 −0.822269 0.569099i \(-0.807292\pi\)
0.903988 + 0.427557i \(0.140626\pi\)
\(38\) 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 0.766272 0.642516i \(-0.222109\pi\)
−0.939571 + 0.342353i \(0.888776\pi\)
\(42\) 3.40465 3.06731i 0.525348 0.473296i
\(43\) −3.67020 + 6.35698i −0.559701 + 0.969430i 0.437820 + 0.899062i \(0.355751\pi\)
−0.997521 + 0.0703677i \(0.977583\pi\)
\(44\) −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 0.965773 0.259390i \(-0.0835216\pi\)
−0.707525 + 0.706688i \(0.750188\pi\)
\(48\) 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 0.972880 0.231308i \(-0.0743006\pi\)
0.286121 + 0.958193i \(0.407634\pi\)
\(54\) 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 0.749069 0.662492i \(-0.230501\pi\)
−0.948269 + 0.317467i \(0.897168\pi\)
\(60\) 1.28862 4.68542i 0.166360 0.604885i
\(61\) 11.9390i 1.52863i 0.644845 + 0.764314i \(0.276922\pi\)
−0.644845 + 0.764314i \(0.723078\pi\)
\(62\) −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 0.760845 0.648933i \(-0.224785\pi\)
−0.181570 + 0.983378i \(0.558118\pi\)
\(72\) −1.46562 2.61763i −0.172724 0.308490i
\(73\) −1.76646 1.01987i −0.206749 0.119366i 0.393051 0.919517i \(-0.371420\pi\)
−0.599799 + 0.800150i \(0.704753\pi\)
\(74\) −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 0.857888 0.513837i \(-0.171777\pi\)
−0.873940 + 0.486034i \(0.838443\pi\)
\(80\) −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 0.170289 + 0.985394i \(0.445530\pi\)
−0.938521 + 0.345223i \(0.887803\pi\)
\(90\) −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 0.0963042 0.995352i \(-0.469298\pi\)
−0.813848 + 0.581078i \(0.802631\pi\)
\(98\) −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 −0.351346 0.936246i \(-0.614276\pi\)
0.635140 + 0.772397i \(0.280943\pi\)
\(104\) −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 0.460546 0.887636i \(-0.347654\pi\)
−0.538442 + 0.842662i \(0.680987\pi\)
\(108\) −4.99152 1.44386i −0.480309 0.138935i
\(109\) −5.59636 + 9.69317i −0.536034 + 0.928438i 0.463079 + 0.886317i \(0.346745\pi\)
−0.999113 + 0.0421205i \(0.986589\pi\)
\(110\) 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 0.405422 0.914130i \(-0.367125\pi\)
−0.588948 + 0.808171i \(0.700458\pi\)
\(114\) −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 −0.899715 0.436478i \(-0.856226\pi\)
0.0718568 0.997415i \(-0.477108\pi\)
\(128\) 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 −0.979467 0.201606i \(-0.935384\pi\)
0.315137 0.949046i \(-0.397950\pi\)
\(132\) 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 −0.0632303 0.997999i \(-0.520140\pi\)
0.832677 + 0.553759i \(0.186807\pi\)
\(138\) 6.45870 + 6.54443i 0.549801 + 0.557099i
\(139\) −8.96591 5.17647i −0.760478 0.439062i 0.0689891 0.997617i \(-0.478023\pi\)
−0.829467 + 0.558555i \(0.811356\pi\)
\(140\) 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 \(-0.719785\pi\)
0.636904 0.770943i \(-0.280215\pi\)
\(150\) −3.53963 + 3.49326i −0.289010 + 0.285224i
\(151\) 10.8089 18.7215i 0.879612 1.52353i 0.0278447 0.999612i \(-0.491136\pi\)
0.851767 0.523920i \(-0.175531\pi\)
\(152\) 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 0.666485 0.745518i \(-0.267798\pi\)
−0.312395 + 0.949952i \(0.601131\pi\)
\(158\) 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 0.780462 0.625203i \(-0.214984\pi\)
−0.931673 + 0.363299i \(0.881650\pi\)
\(168\) 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 \(-0.901617\pi\)
0.952614 0.304181i \(-0.0983827\pi\)
\(180\) −0.110970 + 8.41598i −0.00827124 + 0.627290i
\(181\) 14.2577i 1.05977i 0.848070 + 0.529885i \(0.177765\pi\)
−0.848070 + 0.529885i \(0.822235\pi\)
\(182\) 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 \(0.0211052\pi\)
−0.997803 + 0.0662555i \(0.978895\pi\)
\(192\) 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 −0.215388 0.976529i \(-0.569102\pi\)
0.738005 + 0.674796i \(0.235768\pi\)
\(198\) 0.103403 7.84210i 0.00734855 0.557313i
\(199\) −15.5210 + 8.96106i −1.10025 + 0.635232i −0.936288 0.351233i \(-0.885762\pi\)
−0.163967 + 0.986466i \(0.552429\pi\)
\(200\) 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 −0.920209 0.391428i \(-0.871981\pi\)
0.121118 0.992638i \(-0.461352\pi\)
\(212\) 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 −0.187472 0.982270i \(-0.560029\pi\)
0.756935 + 0.653491i \(0.226696\pi\)
\(224\) 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 0.979452 + 0.201676i \(0.0646389\pi\)
−0.315069 + 0.949069i \(0.602028\pi\)
\(228\) 8.39946 8.28944i 0.556268 0.548982i
\(229\) 23.6469 13.6525i 1.56263 0.902185i 0.565641 0.824651i \(-0.308629\pi\)
0.996990 0.0775340i \(-0.0247046\pi\)
\(230\) 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 −0.984184 0.177149i \(-0.943313\pi\)
−0.338677 + 0.940903i \(0.609979\pi\)
\(234\) −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 \(0.133923\pi\)
−0.912791 + 0.408427i \(0.866077\pi\)
\(240\) 4.70200 1.22673i 0.303513 0.0791852i
\(241\) 9.19785 5.31038i 0.592485 0.342072i −0.173594 0.984817i \(-0.555538\pi\)
0.766080 + 0.642746i \(0.222205\pi\)
\(242\) −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 0.300924 + 0.953648i \(0.402705\pi\)
−0.976346 + 0.216216i \(0.930628\pi\)
\(252\) 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 −0.458150 0.888875i \(-0.651488\pi\)
0.998863 0.0476683i \(-0.0151790\pi\)
\(258\) −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 \(-0.749981\pi\)
0.707066 0.707148i \(-0.250019\pi\)
\(264\) −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 −0.665556 0.746348i \(-0.731806\pi\)
−0.313578 0.949563i \(-0.601528\pi\)
\(270\) 10.1025 + 10.5102i 0.614816 + 0.639628i
\(271\) 8.03023 + 4.63626i 0.487802 + 0.281633i 0.723662 0.690154i \(-0.242457\pi\)
−0.235860 + 0.971787i \(0.575791\pi\)
\(272\) 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 0.975215 0.221260i \(-0.0710170\pi\)
−0.679224 + 0.733931i \(0.737684\pi\)
\(278\) 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 \(0.0836206\pi\)
−0.965692 + 0.259691i \(0.916379\pi\)
\(282\) 1.54826 + 5.93440i 0.0921976 + 0.353389i
\(283\) 12.7858i 0.760035i −0.924979 0.380017i \(-0.875918\pi\)
0.924979 0.380017i \(-0.124082\pi\)
\(284\) 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 −0.615144 0.788415i \(-0.710902\pi\)
0.990359 + 0.138523i \(0.0442354\pi\)
\(294\) −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 \(-0.829438\pi\)
0.859842 0.510561i \(-0.170562\pi\)
\(308\) −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 0.285112 + 0.958494i \(0.407969\pi\)
−0.972636 + 0.232333i \(0.925364\pi\)
\(312\) 6.21949 0.563917i 0.352109 0.0319255i
\(313\) −24.7522 + 14.2907i −1.39908 + 0.807757i −0.994296 0.106657i \(-0.965985\pi\)
−0.404780 + 0.914414i \(0.632652\pi\)
\(314\) −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 −0.626381 0.779517i \(-0.715465\pi\)
0.361891 + 0.932220i \(0.382131\pi\)
\(318\) 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 −0.999542 0.0302562i \(-0.990368\pi\)
−0.473568 + 0.880757i \(0.657034\pi\)
\(348\) −11.4066 3.13714i −0.611460 0.168168i
\(349\) −6.37536 + 3.68081i −0.341265 + 0.197029i −0.660831 0.750534i \(-0.729796\pi\)
0.319566 + 0.947564i \(0.396463\pi\)
\(350\) 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 −0.369680 0.929159i \(-0.620533\pi\)
0.619836 + 0.784732i \(0.287199\pi\)
\(360\) 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 \(-0.951499\pi\)
0.988414 0.151781i \(-0.0485009\pi\)
\(368\) −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 0.972041 0.234812i \(-0.0754473\pi\)
−0.689373 + 0.724406i \(0.742114\pi\)
\(380\) −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 0.259903 0.965635i \(-0.416309\pi\)
−0.706313 + 0.707900i \(0.749643\pi\)
\(390\) 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 \(-0.763000\pi\)
0.735387 0.677647i \(-0.237000\pi\)
\(398\) 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 0.830518 0.556993i \(-0.188045\pi\)
−0.0671109 + 0.997746i \(0.521378\pi\)
\(402\) 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 −0.987056 0.160378i \(-0.948729\pi\)
−0.354636 + 0.935004i \(0.615395\pi\)
\(410\) −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 0.686547 + 0.727085i \(0.259125\pi\)
0.286400 + 0.958110i \(0.407541\pi\)
\(420\) −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 \(0.0565195\pi\)
−0.984277 + 0.176630i \(0.943480\pi\)
\(432\) −1.24534 5.04471i −0.0599166 0.242714i
\(433\) −10.9441 6.31856i −0.525938 0.303650i 0.213423 0.976960i \(-0.431539\pi\)
−0.739361 + 0.673310i \(0.764872\pi\)
\(434\) −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 0.307355 0.951595i \(-0.400556\pi\)
−0.670428 + 0.741975i \(0.733889\pi\)
\(440\) 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 −0.949678 0.313229i \(-0.898589\pi\)
−0.203575 + 0.979059i \(0.565256\pi\)
\(444\) −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 0.693388 0.720565i \(-0.256117\pi\)
−0.277333 + 0.960774i \(0.589451\pi\)
\(450\) 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 −0.901395 0.432998i \(-0.857456\pi\)
0.825685 + 0.564132i \(0.190789\pi\)
\(458\) −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 −0.502451 0.864606i \(-0.667568\pi\)
0.999996 + 0.00283284i \(0.000901722\pi\)
\(462\) 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 0.684952 0.728588i \(-0.259823\pi\)
−0.973452 + 0.228892i \(0.926490\pi\)
\(468\) 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 −0.969280 0.245958i \(-0.920897\pi\)
0.271634 0.962401i \(-0.412436\pi\)
\(488\) 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 −0.584094 0.811686i \(-0.698550\pi\)
0.410894 + 0.911683i \(0.365217\pi\)
\(492\) −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 0.690416 0.723413i \(-0.257428\pi\)
−0.971702 + 0.236211i \(0.924094\pi\)
\(500\) 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 −0.919777 0.392441i \(-0.871631\pi\)
0.799753 + 0.600329i \(0.204964\pi\)
\(504\) −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 0.244824 + 0.969568i \(0.421270\pi\)
−0.962082 + 0.272760i \(0.912063\pi\)
\(510\) 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 0.0588209 0.998269i \(-0.481266\pi\)
0.835115 0.550075i \(-0.185401\pi\)
\(522\) −17.8788 + 10.0104i −0.782534 + 0.438143i
\(523\) 0.576762 + 0.332994i 0.0252200 + 0.0145608i 0.512557 0.858653i \(-0.328698\pi\)
−0.487337 + 0.873214i \(0.662032\pi\)
\(524\) 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 0.633728 0.773556i \(-0.281524\pi\)
−0.986783 + 0.162046i \(0.948191\pi\)
\(542\) −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 \(-0.805291\pi\)
0.818674 0.574258i \(-0.194709\pi\)
\(558\) −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 −0.996249 0.0865273i \(-0.972423\pi\)
0.423190 0.906041i \(-0.360910\pi\)
\(564\) 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 0.785856 0.618410i \(-0.212223\pi\)
−0.142631 + 0.989776i \(0.545556\pi\)
\(570\) −32.0364 + 8.35817i −1.34186 + 0.350085i
\(571\) −8.22208 + 14.2411i −0.344083 + 0.595970i −0.985187 0.171485i \(-0.945144\pi\)
0.641103 + 0.767454i \(0.278477\pi\)
\(572\) 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 0.604503 0.796603i \(-0.293372\pi\)
−0.387627 + 0.921816i \(0.626705\pi\)
\(578\) 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 0.815614 0.578596i \(-0.196399\pi\)
−0.908886 + 0.417045i \(0.863066\pi\)
\(588\) −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 0.898866 0.438224i \(-0.144392\pi\)
−0.828946 + 0.559329i \(0.811059\pi\)
\(594\) 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 0.653123 0.757252i \(-0.273458\pi\)
−0.329237 + 0.944247i \(0.606792\pi\)
\(600\) −4.79507 1.31878i −0.195758 0.0538388i
\(601\) 27.4175 15.8295i 1.11838 0.645699i 0.177396 0.984140i \(-0.443233\pi\)
0.940988 + 0.338440i \(0.109899\pi\)
\(602\) 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 \(-0.832419\pi\)
0.864586 0.502485i \(-0.167581\pi\)
\(608\) 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 0.968406 0.249379i \(-0.0802265\pi\)
0.268234 + 0.963354i \(0.413560\pi\)
\(618\) 5.57381 1.45418i 0.224211 0.0584958i
\(619\) −3.76659 2.17464i −0.151392 0.0874062i 0.422390 0.906414i \(-0.361191\pi\)
−0.573782 + 0.819008i \(0.694524\pi\)
\(620\) −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 0.458925 + 0.888475i \(0.348235\pi\)
−0.998904 + 0.0467969i \(0.985099\pi\)
\(632\) −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 −0.682677 0.730720i \(-0.739184\pi\)
0.291484 + 0.956576i \(0.405851\pi\)
\(642\) −1.13199 1.14701i −0.0446759 0.0452689i
\(643\) −24.5334 14.1644i −0.967503 0.558588i −0.0690290 0.997615i \(-0.521990\pi\)
−0.898474 + 0.439026i \(0.855323\pi\)
\(644\) 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 0.962056 0.272851i \(-0.0879665\pi\)
0.244733 + 0.969591i \(0.421300\pi\)
\(654\) −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 0.773043 0.634354i \(-0.218734\pi\)
−0.162845 + 0.986652i \(0.552067\pi\)
\(660\) 12.2489 + 3.36878i 0.476788 + 0.131130i
\(661\) 20.0039i 0.778060i −0.921225 0.389030i \(-0.872810\pi\)
0.921225 0.389030i \(-0.127190\pi\)
\(662\) −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 0.999213 + 0.0396751i \(0.0126323\pi\)
−0.465247 + 0.885181i \(0.654034\pi\)
\(674\) −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 0.999210 + 0.0397412i \(0.0126534\pi\)
−0.465188 + 0.885212i \(0.654013\pi\)
\(678\) −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 −0.305139 0.952308i \(-0.598703\pi\)
0.672154 + 0.740412i \(0.265369\pi\)
\(684\) −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 0.0903230 0.995913i \(-0.471210\pi\)
−0.817324 + 0.576178i \(0.804543\pi\)
\(692\) 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 \(-0.744937\pi\)
0.695770 0.718264i \(-0.255063\pi\)
\(702\) −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 \(-0.966207\pi\)
0.994370 0.105964i \(-0.0337927\pi\)
\(728\) −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 −0.971898 0.235401i \(-0.924360\pi\)
−0.282086 + 0.959389i \(0.591026\pi\)
\(734\) −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 −0.999741 0.0227483i \(-0.992758\pi\)
−0.480170 + 0.877175i \(0.659425\pi\)
\(744\) −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 0.339959 + 0.940440i \(0.389587\pi\)
−0.984425 + 0.175807i \(0.943747\pi\)
\(752\) −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 0.741027 0.671475i \(-0.234339\pi\)
−0.952028 + 0.306011i \(0.901006\pi\)
\(758\) 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 0.549503 0.835492i \(-0.314817\pi\)
0.998309 0.0581373i \(-0.0185161\pi\)
\(770\) 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 0.999586 + 0.0287728i \(0.00915992\pi\)
−0.474875 + 0.880053i \(0.657507\pi\)
\(774\) 11.2611 18.9241i 0.404772 0.680213i
\(775\) −17.1242 + 9.88669i −0.615121 + 0.355140i
\(776\) −4.08013