Properties

Label 105.2.s.c.26.4
Level 105
Weight 2
Character 105.26
Analytic conductor 0.838
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 105.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.838429221223\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.856615824.2
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 26.4
Root \(2.06288i\)
Character \(\chi\) = 105.26
Dual form 105.2.s.c.101.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.78651 + 1.03144i) q^{2} +(-0.627739 - 1.61429i) q^{3} +(1.12774 + 1.95330i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.543588 - 3.53142i) q^{6} +(-0.00953166 + 2.64573i) q^{7} +0.527019i q^{8} +(-2.21189 + 2.02671i) q^{9} +O(q^{10})\) \(q+(1.78651 + 1.03144i) q^{2} +(-0.627739 - 1.61429i) q^{3} +(1.12774 + 1.95330i) q^{4} +(0.500000 - 0.866025i) q^{5} +(0.543588 - 3.53142i) q^{6} +(-0.00953166 + 2.64573i) q^{7} +0.527019i q^{8} +(-2.21189 + 2.02671i) q^{9} +(1.78651 - 1.03144i) q^{10} +(-4.06348 + 2.34605i) q^{11} +(2.44528 - 3.04666i) q^{12} -0.638688i q^{13} +(-2.74595 + 4.71679i) q^{14} +(-1.71189 - 0.263509i) q^{15} +(1.71189 - 2.96508i) q^{16} +(-2.07462 - 3.59334i) q^{17} +(-6.04198 + 1.33930i) q^{18} +(-0.776975 - 0.448587i) q^{19} +2.25548 q^{20} +(4.27698 - 1.64544i) q^{21} -9.67925 q^{22} +(5.89275 + 3.40218i) q^{23} +(0.850763 - 0.330830i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(0.658769 - 1.14102i) q^{26} +(4.66019 + 2.29839i) q^{27} +(-5.17866 + 2.96508i) q^{28} +2.14740i q^{29} +(-2.78651 - 2.23647i) q^{30} +(-2.02453 + 1.16886i) q^{31} +(7.02943 - 4.05844i) q^{32} +(6.33802 + 5.08695i) q^{33} -8.55938i q^{34} +(2.28651 + 1.33112i) q^{35} +(-6.45320 - 2.03489i) q^{36} +(5.69122 - 9.85748i) q^{37} +(-0.925382 - 1.60281i) q^{38} +(-1.03103 + 0.400929i) q^{39} +(0.456412 + 0.263509i) q^{40} -4.10624 q^{41} +(9.33802 + 1.47185i) q^{42} +3.14924 q^{43} +(-9.16509 - 5.29147i) q^{44} +(0.649237 + 2.92891i) q^{45} +(7.01829 + 12.1560i) q^{46} +(-3.40471 + 5.89714i) q^{47} +(-5.86113 - 0.902197i) q^{48} +(-6.99982 - 0.0504365i) q^{49} -2.06288i q^{50} +(-4.49840 + 5.60472i) q^{51} +(1.24755 - 0.720273i) q^{52} +(1.96187 - 1.13269i) q^{53} +(5.95481 + 8.91281i) q^{54} +4.69211i q^{55} +(-1.39435 - 0.00502336i) q^{56} +(-0.236414 + 1.53586i) q^{57} +(-2.21492 + 3.83635i) q^{58} +(-0.254055 - 0.440035i) q^{59} +(-1.41585 - 3.64100i) q^{60} +(4.48946 + 2.59199i) q^{61} -4.82244 q^{62} +(-5.34105 - 5.87139i) q^{63} +9.89660 q^{64} +(-0.553120 - 0.319344i) q^{65} +(6.07604 + 15.6252i) q^{66} +(-2.41425 - 4.18160i) q^{67} +(4.67925 - 8.10471i) q^{68} +(1.79301 - 11.6483i) q^{69} +(2.71189 + 4.73645i) q^{70} -1.22800i q^{71} +(-1.06811 - 1.16571i) q^{72} +(12.5197 - 7.22826i) q^{73} +(20.3348 - 11.7403i) q^{74} +(-1.08415 + 1.35078i) q^{75} -2.02356i q^{76} +(-6.16830 - 10.7733i) q^{77} +(-2.25548 - 0.347183i) q^{78} +(-4.54056 + 7.86448i) q^{79} +(-1.71189 - 2.96508i) q^{80} +(0.784903 - 8.96571i) q^{81} +(-7.33583 - 4.23534i) q^{82} +2.76359 q^{83} +(8.03735 + 6.49859i) q^{84} -4.14924 q^{85} +(5.62613 + 3.24825i) q^{86} +(3.46653 - 1.34801i) q^{87} +(-1.23641 - 2.14153i) q^{88} +(-6.90067 + 11.9523i) q^{89} +(-1.86113 + 5.90216i) q^{90} +(1.68980 + 0.00608775i) q^{91} +15.3471i q^{92} +(3.15776 + 2.53444i) q^{93} +(-12.1651 + 7.02352i) q^{94} +(-0.776975 + 0.448587i) q^{95} +(-10.9642 - 8.79992i) q^{96} +12.9085i q^{97} +(-12.4532 - 7.31000i) q^{98} +(4.23321 - 13.4247i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 3q^{2} + q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + 2q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - 3q^{2} + q^{3} + 3q^{4} + 4q^{5} + 5q^{6} + 2q^{7} - 5q^{9} - 3q^{10} - 9q^{12} - 12q^{14} - q^{15} + q^{16} - 12q^{17} - 19q^{18} + 9q^{19} + 6q^{20} + 19q^{21} - 40q^{22} + 27q^{23} + 16q^{24} - 4q^{25} - 6q^{26} + 4q^{27} + 3q^{28} - 5q^{30} - 21q^{31} + 21q^{32} + 2q^{33} + q^{35} + 9q^{36} + 7q^{37} - 12q^{38} - 3q^{39} + 3q^{40} - 30q^{41} + 26q^{42} + 16q^{43} - 4q^{45} - 7q^{46} - 6q^{47} - 25q^{48} - 4q^{49} - 6q^{51} + 30q^{52} + 24q^{53} + 17q^{54} - 21q^{56} + 6q^{57} - 13q^{58} - 12q^{59} - 18q^{60} + 15q^{61} + 24q^{62} - 2q^{63} + 38q^{64} - 3q^{65} + 22q^{66} + 4q^{67} - 13q^{69} + 9q^{70} - 14q^{72} + 15q^{73} + 54q^{74} - 2q^{75} - 36q^{77} - 6q^{78} - 29q^{79} - q^{80} - 41q^{81} + 27q^{82} + 30q^{83} - 3q^{84} - 24q^{85} + 9q^{86} + 32q^{87} - 2q^{88} - 3q^{89} + 7q^{90} - 3q^{91} - 9q^{93} - 24q^{94} + 9q^{95} - 3q^{96} - 39q^{98} - 34q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.78651 + 1.03144i 1.26325 + 0.729338i 0.973702 0.227825i \(-0.0731613\pi\)
0.289549 + 0.957163i \(0.406495\pi\)
\(3\) −0.627739 1.61429i −0.362425 0.932013i
\(4\) 1.12774 + 1.95330i 0.563869 + 0.976650i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) 0.543588 3.53142i 0.221919 1.44170i
\(7\) −0.00953166 + 2.64573i −0.00360263 + 0.999994i
\(8\) 0.527019i 0.186329i
\(9\) −2.21189 + 2.02671i −0.737296 + 0.675570i
\(10\) 1.78651 1.03144i 0.564943 0.326170i
\(11\) −4.06348 + 2.34605i −1.22519 + 0.707362i −0.966019 0.258471i \(-0.916781\pi\)
−0.259167 + 0.965833i \(0.583448\pi\)
\(12\) 2.44528 3.04666i 0.705890 0.879496i
\(13\) 0.638688i 0.177140i −0.996070 0.0885701i \(-0.971770\pi\)
0.996070 0.0885701i \(-0.0282297\pi\)
\(14\) −2.74595 + 4.71679i −0.733885 + 1.26062i
\(15\) −1.71189 0.263509i −0.442008 0.0680378i
\(16\) 1.71189 2.96508i 0.427972 0.741270i
\(17\) −2.07462 3.59334i −0.503169 0.871514i −0.999993 0.00366299i \(-0.998834\pi\)
0.496824 0.867851i \(-0.334499\pi\)
\(18\) −6.04198 + 1.33930i −1.42411 + 0.315676i
\(19\) −0.776975 0.448587i −0.178250 0.102913i 0.408220 0.912884i \(-0.366150\pi\)
−0.586470 + 0.809971i \(0.699483\pi\)
\(20\) 2.25548 0.504340
\(21\) 4.27698 1.64544i 0.933313 0.359065i
\(22\) −9.67925 −2.06362
\(23\) 5.89275 + 3.40218i 1.22872 + 0.709403i 0.966763 0.255675i \(-0.0822978\pi\)
0.261960 + 0.965079i \(0.415631\pi\)
\(24\) 0.850763 0.330830i 0.173661 0.0675304i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) 0.658769 1.14102i 0.129195 0.223773i
\(27\) 4.66019 + 2.29839i 0.896854 + 0.442326i
\(28\) −5.17866 + 2.96508i −0.978675 + 0.560347i
\(29\) 2.14740i 0.398762i 0.979922 + 0.199381i \(0.0638932\pi\)
−0.979922 + 0.199381i \(0.936107\pi\)
\(30\) −2.78651 2.23647i −0.508744 0.408322i
\(31\) −2.02453 + 1.16886i −0.363615 + 0.209933i −0.670666 0.741760i \(-0.733991\pi\)
0.307050 + 0.951693i \(0.400658\pi\)
\(32\) 7.02943 4.05844i 1.24264 0.717438i
\(33\) 6.33802 + 5.08695i 1.10331 + 0.885524i
\(34\) 8.55938i 1.46792i
\(35\) 2.28651 + 1.33112i 0.386490 + 0.225001i
\(36\) −6.45320 2.03489i −1.07553 0.339148i
\(37\) 5.69122 9.85748i 0.935631 1.62056i 0.162126 0.986770i \(-0.448165\pi\)
0.773505 0.633790i \(-0.218502\pi\)
\(38\) −0.925382 1.60281i −0.150117 0.260010i
\(39\) −1.03103 + 0.400929i −0.165097 + 0.0642000i
\(40\) 0.456412 + 0.263509i 0.0721650 + 0.0416645i
\(41\) −4.10624 −0.641287 −0.320643 0.947200i \(-0.603899\pi\)
−0.320643 + 0.947200i \(0.603899\pi\)
\(42\) 9.33802 + 1.47185i 1.44089 + 0.227111i
\(43\) 3.14924 0.480254 0.240127 0.970741i \(-0.422811\pi\)
0.240127 + 0.970741i \(0.422811\pi\)
\(44\) −9.16509 5.29147i −1.38169 0.797719i
\(45\) 0.649237 + 2.92891i 0.0967825 + 0.436616i
\(46\) 7.01829 + 12.1560i 1.03479 + 1.79231i
\(47\) −3.40471 + 5.89714i −0.496629 + 0.860186i −0.999992 0.00388861i \(-0.998762\pi\)
0.503364 + 0.864075i \(0.332096\pi\)
\(48\) −5.86113 0.902197i −0.845981 0.130221i
\(49\) −6.99982 0.0504365i −0.999974 0.00720521i
\(50\) 2.06288i 0.291735i
\(51\) −4.49840 + 5.60472i −0.629901 + 0.784818i
\(52\) 1.24755 0.720273i 0.173004 0.0998839i
\(53\) 1.96187 1.13269i 0.269484 0.155587i −0.359169 0.933272i \(-0.616940\pi\)
0.628653 + 0.777686i \(0.283607\pi\)
\(54\) 5.95481 + 8.91281i 0.810347 + 1.21288i
\(55\) 4.69211i 0.632683i
\(56\) −1.39435 0.00502336i −0.186328 0.000671275i
\(57\) −0.236414 + 1.53586i −0.0313138 + 0.203430i
\(58\) −2.21492 + 3.83635i −0.290833 + 0.503737i
\(59\) −0.254055 0.440035i −0.0330751 0.0572877i 0.849014 0.528370i \(-0.177197\pi\)
−0.882089 + 0.471083i \(0.843863\pi\)
\(60\) −1.41585 3.64100i −0.182785 0.470051i
\(61\) 4.48946 + 2.59199i 0.574816 + 0.331870i 0.759070 0.651008i \(-0.225654\pi\)
−0.184255 + 0.982879i \(0.558987\pi\)
\(62\) −4.82244 −0.612450
\(63\) −5.34105 5.87139i −0.672909 0.739725i
\(64\) 9.89660 1.23708
\(65\) −0.553120 0.319344i −0.0686061 0.0396097i
\(66\) 6.07604 + 15.6252i 0.747909 + 1.92332i
\(67\) −2.41425 4.18160i −0.294947 0.510863i 0.680026 0.733188i \(-0.261969\pi\)
−0.974973 + 0.222325i \(0.928635\pi\)
\(68\) 4.67925 8.10471i 0.567443 0.982840i
\(69\) 1.79301 11.6483i 0.215853 1.40229i
\(70\) 2.71189 + 4.73645i 0.324133 + 0.566115i
\(71\) 1.22800i 0.145737i −0.997342 0.0728686i \(-0.976785\pi\)
0.997342 0.0728686i \(-0.0232154\pi\)
\(72\) −1.06811 1.16571i −0.125878 0.137380i
\(73\) 12.5197 7.22826i 1.46532 0.846004i 0.466072 0.884747i \(-0.345669\pi\)
0.999249 + 0.0387429i \(0.0123353\pi\)
\(74\) 20.3348 11.7403i 2.36387 1.36478i
\(75\) −1.08415 + 1.35078i −0.125187 + 0.155975i
\(76\) 2.02356i 0.232118i
\(77\) −6.16830 10.7733i −0.702943 1.22773i
\(78\) −2.25548 0.347183i −0.255382 0.0393108i
\(79\) −4.54056 + 7.86448i −0.510853 + 0.884824i 0.489068 + 0.872246i \(0.337337\pi\)
−0.999921 + 0.0125778i \(0.995996\pi\)
\(80\) −1.71189 2.96508i −0.191395 0.331506i
\(81\) 0.784903 8.96571i 0.0872114 0.996190i
\(82\) −7.33583 4.23534i −0.810107 0.467715i
\(83\) 2.76359 0.303343 0.151671 0.988431i \(-0.451534\pi\)
0.151671 + 0.988431i \(0.451534\pi\)
\(84\) 8.03735 + 6.49859i 0.876947 + 0.709054i
\(85\) −4.14924 −0.450048
\(86\) 5.62613 + 3.24825i 0.606682 + 0.350268i
\(87\) 3.46653 1.34801i 0.371652 0.144521i
\(88\) −1.23641 2.14153i −0.131802 0.228288i
\(89\) −6.90067 + 11.9523i −0.731470 + 1.26694i 0.224785 + 0.974408i \(0.427832\pi\)
−0.956255 + 0.292535i \(0.905501\pi\)
\(90\) −1.86113 + 5.90216i −0.196180 + 0.622142i
\(91\) 1.68980 + 0.00608775i 0.177139 + 0.000638170i
\(92\) 15.3471i 1.60004i
\(93\) 3.15776 + 2.53444i 0.327444 + 0.262809i
\(94\) −12.1651 + 7.02352i −1.25473 + 0.724421i
\(95\) −0.776975 + 0.448587i −0.0797160 + 0.0460241i
\(96\) −10.9642 8.79992i −1.11902 0.898138i
\(97\) 12.9085i 1.31066i 0.755344 + 0.655329i \(0.227470\pi\)
−0.755344 + 0.655329i \(0.772530\pi\)
\(98\) −12.4532 7.31000i −1.25796 0.738422i
\(99\) 4.23321 13.4247i 0.425453 1.34923i
\(100\) 1.12774 1.95330i 0.112774 0.195330i
\(101\) −4.51989 7.82869i −0.449746 0.778983i 0.548623 0.836070i \(-0.315152\pi\)
−0.998369 + 0.0570865i \(0.981819\pi\)
\(102\) −13.8174 + 5.37305i −1.36812 + 0.532012i
\(103\) −13.4412 7.76030i −1.32440 0.764645i −0.339976 0.940434i \(-0.610419\pi\)
−0.984428 + 0.175789i \(0.943752\pi\)
\(104\) 0.336601 0.0330064
\(105\) 0.713493 4.52669i 0.0696298 0.441760i
\(106\) 4.67320 0.453901
\(107\) −4.64012 2.67897i −0.448577 0.258986i 0.258652 0.965971i \(-0.416722\pi\)
−0.707229 + 0.706985i \(0.750055\pi\)
\(108\) 0.766021 + 11.6947i 0.0737104 + 1.12533i
\(109\) −0.679436 1.17682i −0.0650782 0.112719i 0.831650 0.555299i \(-0.187396\pi\)
−0.896729 + 0.442581i \(0.854063\pi\)
\(110\) −4.83963 + 8.38248i −0.461440 + 0.799238i
\(111\) −19.4855 2.99938i −1.84948 0.284689i
\(112\) 7.82849 + 4.55746i 0.739723 + 0.430640i
\(113\) 11.9390i 1.12312i 0.827435 + 0.561562i \(0.189799\pi\)
−0.827435 + 0.561562i \(0.810201\pi\)
\(114\) −2.00650 + 2.49998i −0.187926 + 0.234145i
\(115\) 5.89275 3.40218i 0.549502 0.317255i
\(116\) −4.19452 + 2.42171i −0.389451 + 0.224850i
\(117\) 1.29443 + 1.41271i 0.119671 + 0.130605i
\(118\) 1.04817i 0.0964917i
\(119\) 9.52681 5.45464i 0.873321 0.500026i
\(120\) 0.138874 0.902197i 0.0126774 0.0823590i
\(121\) 5.50793 9.54001i 0.500721 0.867274i
\(122\) 5.34696 + 9.26121i 0.484091 + 0.838471i
\(123\) 2.57765 + 6.62868i 0.232418 + 0.597688i
\(124\) −4.56627 2.63634i −0.410063 0.236750i
\(125\) −1.00000 −0.0894427
\(126\) −3.48584 15.9982i −0.310543 1.42524i
\(127\) −16.8492 −1.49513 −0.747563 0.664191i \(-0.768776\pi\)
−0.747563 + 0.664191i \(0.768776\pi\)
\(128\) 3.62150 + 2.09088i 0.320099 + 0.184809i
\(129\) −1.97690 5.08379i −0.174056 0.447603i
\(130\) −0.658769 1.14102i −0.0577778 0.100074i
\(131\) 6.93473 12.0113i 0.605890 1.04943i −0.386020 0.922490i \(-0.626150\pi\)
0.991910 0.126942i \(-0.0405163\pi\)
\(132\) −2.78870 + 18.1168i −0.242725 + 1.57687i
\(133\) 1.19425 2.05139i 0.103554 0.177878i
\(134\) 9.96060i 0.860465i
\(135\) 4.32056 2.88665i 0.371855 0.248443i
\(136\) 1.89376 1.09336i 0.162389 0.0937551i
\(137\) −3.75708 + 2.16915i −0.320989 + 0.185323i −0.651833 0.758362i \(-0.726000\pi\)
0.330844 + 0.943685i \(0.392667\pi\)
\(138\) 15.2178 18.9604i 1.29542 1.61402i
\(139\) 10.9631i 0.929881i 0.885342 + 0.464941i \(0.153924\pi\)
−0.885342 + 0.464941i \(0.846076\pi\)
\(140\) −0.0214984 + 5.96739i −0.00181695 + 0.504337i
\(141\) 11.6570 + 1.79435i 0.981695 + 0.151111i
\(142\) 1.26661 2.19384i 0.106292 0.184103i
\(143\) 1.49840 + 2.59530i 0.125302 + 0.217030i
\(144\) 2.22284 + 10.0279i 0.185237 + 0.835660i
\(145\) 1.85970 + 1.07370i 0.154440 + 0.0891659i
\(146\) 29.8221 2.46809
\(147\) 4.31264 + 11.3314i 0.355700 + 0.934600i
\(148\) 25.6728 2.11029
\(149\) 7.50546 + 4.33328i 0.614871 + 0.354996i 0.774870 0.632121i \(-0.217816\pi\)
−0.159998 + 0.987117i \(0.551149\pi\)
\(150\) −3.33010 + 1.29495i −0.271901 + 0.105732i
\(151\) −6.73018 11.6570i −0.547694 0.948634i −0.998432 0.0559778i \(-0.982172\pi\)
0.450738 0.892656i \(-0.351161\pi\)
\(152\) 0.236414 0.409481i 0.0191757 0.0332133i
\(153\) 11.8715 + 3.74343i 0.959753 + 0.302638i
\(154\) 0.0922593 25.6087i 0.00743447 2.06361i
\(155\) 2.33772i 0.187770i
\(156\) −1.94587 1.56177i −0.155794 0.125042i
\(157\) −6.76643 + 3.90660i −0.540020 + 0.311781i −0.745087 0.666967i \(-0.767592\pi\)
0.205067 + 0.978748i \(0.434259\pi\)
\(158\) −16.2235 + 9.36664i −1.29067 + 0.745170i
\(159\) −3.06003 2.45601i −0.242677 0.194774i
\(160\) 8.11688i 0.641696i
\(161\) −9.05743 + 15.5582i −0.713825 + 1.22616i
\(162\) 10.6498 15.2077i 0.836730 1.19483i
\(163\) −8.33945 + 14.4443i −0.653196 + 1.13137i 0.329147 + 0.944279i \(0.393239\pi\)
−0.982343 + 0.187090i \(0.940095\pi\)
\(164\) −4.63077 8.02072i −0.361602 0.626313i
\(165\) 7.57444 2.94542i 0.589669 0.229300i
\(166\) 4.93717 + 2.85047i 0.383198 + 0.221240i
\(167\) 0.465112 0.0359915 0.0179957 0.999838i \(-0.494271\pi\)
0.0179957 + 0.999838i \(0.494271\pi\)
\(168\) 0.867179 + 2.25405i 0.0669043 + 0.173903i
\(169\) 12.5921 0.968621
\(170\) −7.41264 4.27969i −0.568524 0.328237i
\(171\) 2.62774 0.582479i 0.200948 0.0445432i
\(172\) 3.55152 + 6.15141i 0.270801 + 0.469040i
\(173\) 5.59208 9.68576i 0.425158 0.736395i −0.571277 0.820757i \(-0.693552\pi\)
0.996435 + 0.0843622i \(0.0268853\pi\)
\(174\) 7.58338 + 1.16730i 0.574894 + 0.0884929i
\(175\) 2.29604 1.31461i 0.173564 0.0993754i
\(176\) 16.0647i 1.21092i
\(177\) −0.550867 + 0.686346i −0.0414057 + 0.0515889i
\(178\) −24.6562 + 14.2353i −1.84806 + 1.06698i
\(179\) −0.214505 + 0.123845i −0.0160329 + 0.00925660i −0.507995 0.861360i \(-0.669613\pi\)
0.491962 + 0.870617i \(0.336280\pi\)
\(180\) −4.98886 + 4.57120i −0.371848 + 0.340717i
\(181\) 14.3385i 1.06578i 0.846186 + 0.532888i \(0.178893\pi\)
−0.846186 + 0.532888i \(0.821107\pi\)
\(182\) 3.01256 + 1.75380i 0.223306 + 0.130000i
\(183\) 1.36603 8.87439i 0.100980 0.656014i
\(184\) −1.79301 + 3.10559i −0.132183 + 0.228947i
\(185\) −5.69122 9.85748i −0.418427 0.724737i
\(186\) 3.02723 + 7.78483i 0.221967 + 0.570812i
\(187\) 16.8604 + 9.73433i 1.23295 + 0.711845i
\(188\) −15.3585 −1.12013
\(189\) −6.12536 + 12.3077i −0.445554 + 0.895255i
\(190\) −1.85076 −0.134268
\(191\) 14.7572 + 8.52006i 1.06779 + 0.616490i 0.927577 0.373632i \(-0.121888\pi\)
0.140214 + 0.990121i \(0.455221\pi\)
\(192\) −6.21248 15.9760i −0.448347 1.15297i
\(193\) −1.41181 2.44533i −0.101624 0.176019i 0.810730 0.585421i \(-0.199071\pi\)
−0.912354 + 0.409402i \(0.865737\pi\)
\(194\) −13.3143 + 23.0611i −0.955913 + 1.65569i
\(195\) −0.168300 + 1.09336i −0.0120522 + 0.0782973i
\(196\) −7.79545 13.7296i −0.556818 0.980688i
\(197\) 9.59675i 0.683740i −0.939747 0.341870i \(-0.888940\pi\)
0.939747 0.341870i \(-0.111060\pi\)
\(198\) 21.4094 19.6170i 1.52150 1.39412i
\(199\) 10.5777 6.10706i 0.749836 0.432918i −0.0757989 0.997123i \(-0.524151\pi\)
0.825635 + 0.564205i \(0.190817\pi\)
\(200\) 0.456412 0.263509i 0.0322732 0.0186329i
\(201\) −5.23481 + 6.52225i −0.369235 + 0.460044i
\(202\) 18.6480i 1.31207i
\(203\) −5.68145 0.0204683i −0.398760 0.00143659i
\(204\) −16.0207 2.46605i −1.12168 0.172658i
\(205\) −2.05312 + 3.55611i −0.143396 + 0.248369i
\(206\) −16.0086 27.7277i −1.11537 1.93188i
\(207\) −19.9293 + 4.41764i −1.38518 + 0.307047i
\(208\) −1.89376 1.09336i −0.131309 0.0758111i
\(209\) 4.20964 0.291187
\(210\) 5.94367 7.35104i 0.410152 0.507270i
\(211\) 5.64113 0.388351 0.194176 0.980967i \(-0.437797\pi\)
0.194176 + 0.980967i \(0.437797\pi\)
\(212\) 4.42496 + 2.55475i 0.303908 + 0.175461i
\(213\) −1.98236 + 0.770865i −0.135829 + 0.0528188i
\(214\) −5.52640 9.57200i −0.377777 0.654329i
\(215\) 1.57462 2.72732i 0.107388 0.186002i
\(216\) −1.21130 + 2.45601i −0.0824183 + 0.167110i
\(217\) −3.07320 5.36750i −0.208622 0.364369i
\(218\) 2.80319i 0.189856i
\(219\) −19.5276 15.6730i −1.31956 1.05909i
\(220\) −9.16509 + 5.29147i −0.617910 + 0.356751i
\(221\) −2.29503 + 1.32503i −0.154380 + 0.0891314i
\(222\) −31.7173 25.4565i −2.12872 1.70853i
\(223\) 0.392378i 0.0262755i 0.999914 + 0.0131378i \(0.00418200\pi\)
−0.999914 + 0.0131378i \(0.995818\pi\)
\(224\) 10.6706 + 18.6367i 0.712956 + 1.24522i
\(225\) 2.86113 + 0.902197i 0.190742 + 0.0601465i
\(226\) −12.3143 + 21.3290i −0.819137 + 1.41879i
\(227\) 11.7125 + 20.2867i 0.777388 + 1.34648i 0.933442 + 0.358728i \(0.116789\pi\)
−0.156054 + 0.987749i \(0.549877\pi\)
\(228\) −3.26661 + 1.27026i −0.216337 + 0.0841253i
\(229\) 6.69286 + 3.86412i 0.442276 + 0.255348i 0.704563 0.709642i \(-0.251143\pi\)
−0.262286 + 0.964990i \(0.584477\pi\)
\(230\) 14.0366 0.925545
\(231\) −13.5191 + 16.7202i −0.889493 + 1.10011i
\(232\) −1.13172 −0.0743011
\(233\) 3.53323 + 2.03991i 0.231469 + 0.133639i 0.611250 0.791438i \(-0.290667\pi\)
−0.379780 + 0.925077i \(0.624000\pi\)
\(234\) 0.855394 + 3.85894i 0.0559188 + 0.252267i
\(235\) 3.40471 + 5.89714i 0.222099 + 0.384687i
\(236\) 0.573014 0.992490i 0.0373001 0.0646056i
\(237\) 15.5459 + 2.39296i 1.00981 + 0.155440i
\(238\) 22.6458 + 0.0815851i 1.46791 + 0.00528837i
\(239\) 5.76281i 0.372765i −0.982477 0.186383i \(-0.940324\pi\)
0.982477 0.186383i \(-0.0596764\pi\)
\(240\) −3.71189 + 4.62479i −0.239601 + 0.298529i
\(241\) −17.6840 + 10.2098i −1.13912 + 0.657674i −0.946214 0.323542i \(-0.895126\pi\)
−0.192911 + 0.981216i \(0.561793\pi\)
\(242\) 19.6799 11.3622i 1.26507 0.730390i
\(243\) −14.9660 + 4.36106i −0.960069 + 0.279762i
\(244\) 11.6923i 0.748525i
\(245\) −3.54359 + 6.03680i −0.226392 + 0.385677i
\(246\) −2.23210 + 14.5009i −0.142314 + 0.924542i
\(247\) −0.286507 + 0.496245i −0.0182300 + 0.0315753i
\(248\) −0.616011 1.06696i −0.0391167 0.0677522i
\(249\) −1.73481 4.46124i −0.109939 0.282720i
\(250\) −1.78651 1.03144i −0.112989 0.0652340i
\(251\) 4.42544 0.279331 0.139666 0.990199i \(-0.455397\pi\)
0.139666 + 0.990199i \(0.455397\pi\)
\(252\) 5.44528 17.0541i 0.343020 1.07431i
\(253\) −31.9268 −2.00722
\(254\) −30.1012 17.3790i −1.88872 1.09045i
\(255\) 2.60464 + 6.69809i 0.163109 + 0.419450i
\(256\) −5.58338 9.67069i −0.348961 0.604418i
\(257\) 12.7539 22.0904i 0.795565 1.37796i −0.126915 0.991914i \(-0.540508\pi\)
0.922480 0.386045i \(-0.126159\pi\)
\(258\) 1.71189 11.1213i 0.106578 0.692381i
\(259\) 26.0260 + 15.1514i 1.61718 + 0.941463i
\(260\) 1.44055i 0.0893389i
\(261\) −4.35215 4.74981i −0.269392 0.294006i
\(262\) 24.7779 14.3055i 1.53078 0.883798i
\(263\) 0.310020 0.178990i 0.0191166 0.0110370i −0.490411 0.871491i \(-0.663153\pi\)
0.509528 + 0.860454i \(0.329820\pi\)
\(264\) −2.68092 + 3.34026i −0.164999 + 0.205579i
\(265\) 2.26538i 0.139161i
\(266\) 4.24942 2.43304i 0.260549 0.149179i
\(267\) 23.6264 + 3.63678i 1.44591 + 0.222568i
\(268\) 5.44528 9.43149i 0.332623 0.576120i
\(269\) 4.26905 + 7.39421i 0.260288 + 0.450833i 0.966319 0.257349i \(-0.0828490\pi\)
−0.706030 + 0.708182i \(0.749516\pi\)
\(270\) 10.6961 0.700610i 0.650945 0.0426378i
\(271\) −7.30474 4.21739i −0.443731 0.256188i 0.261448 0.965218i \(-0.415800\pi\)
−0.705179 + 0.709029i \(0.749133\pi\)
\(272\) −14.2061 −0.861369
\(273\) −1.05092 2.73165i −0.0636048 0.165327i
\(274\) −8.94940 −0.540653
\(275\) 4.06348 + 2.34605i 0.245037 + 0.141472i
\(276\) 24.7747 9.63395i 1.49126 0.579896i
\(277\) −5.05294 8.75195i −0.303602 0.525853i 0.673347 0.739326i \(-0.264856\pi\)
−0.976949 + 0.213473i \(0.931523\pi\)
\(278\) −11.3078 + 19.5857i −0.678198 + 1.17467i
\(279\) 2.10909 6.68851i 0.126268 0.400431i
\(280\) −0.701526 + 1.20503i −0.0419242 + 0.0720144i
\(281\) 15.1554i 0.904094i −0.891994 0.452047i \(-0.850694\pi\)
0.891994 0.452047i \(-0.149306\pi\)
\(282\) 18.9745 + 15.2291i 1.12992 + 0.906880i
\(283\) 20.7322 11.9697i 1.23240 0.711527i 0.264871 0.964284i \(-0.414671\pi\)
0.967530 + 0.252757i \(0.0813373\pi\)
\(284\) 2.39866 1.38487i 0.142334 0.0821768i
\(285\) 1.21189 + 0.972671i 0.0717861 + 0.0576161i
\(286\) 6.18202i 0.365551i
\(287\) 0.0391393 10.8640i 0.00231032 0.641283i
\(288\) −7.32303 + 23.2234i −0.431514 + 1.36845i
\(289\) −0.108084 + 0.187206i −0.00635786 + 0.0110121i
\(290\) 2.21492 + 3.83635i 0.130064 + 0.225278i
\(291\) 20.8381 8.10315i 1.22155 0.475015i
\(292\) 28.2379 + 16.3032i 1.65250 + 0.954071i
\(293\) −21.2223 −1.23982 −0.619909 0.784673i \(-0.712831\pi\)
−0.619909 + 0.784673i \(0.712831\pi\)
\(294\) −3.98313 + 24.6919i −0.232301 + 1.44006i
\(295\) −0.508109 −0.0295833
\(296\) 5.19508 + 2.99938i 0.301958 + 0.174335i
\(297\) −24.3288 + 1.59357i −1.41170 + 0.0924681i
\(298\) 8.93904 + 15.4829i 0.517825 + 0.896899i
\(299\) 2.17293 3.76363i 0.125664 0.217656i
\(300\) −3.86113 0.594339i −0.222922 0.0343142i
\(301\) −0.0300174 + 8.33204i −0.00173018 + 0.480251i
\(302\) 27.7671i 1.59782i
\(303\) −9.80049 + 12.2108i −0.563023 + 0.701492i
\(304\) −2.66019 + 1.53586i −0.152572 + 0.0880877i
\(305\) 4.48946 2.59199i 0.257065 0.148417i
\(306\) 17.3474 + 18.9324i 0.991683 + 1.08229i
\(307\) 24.2817i 1.38583i −0.721019 0.692916i \(-0.756326\pi\)
0.721019 0.692916i \(-0.243674\pi\)
\(308\) 14.0872 24.1980i 0.802691 1.37881i
\(309\) −4.08982 + 26.5695i −0.232662 + 1.51149i
\(310\) −2.41122 + 4.17635i −0.136948 + 0.237201i
\(311\) 3.55858 + 6.16364i 0.201789 + 0.349508i 0.949105 0.314960i \(-0.101991\pi\)
−0.747316 + 0.664469i \(0.768658\pi\)
\(312\) −0.211297 0.543372i −0.0119623 0.0307624i
\(313\) 3.07200 + 1.77362i 0.173640 + 0.100251i 0.584301 0.811537i \(-0.301369\pi\)
−0.410661 + 0.911788i \(0.634702\pi\)
\(314\) −16.1177 −0.909575
\(315\) −7.75530 + 1.68979i −0.436961 + 0.0952089i
\(316\) −20.4823 −1.15222
\(317\) −18.2527 10.5382i −1.02517 0.591885i −0.109576 0.993978i \(-0.534949\pi\)
−0.915599 + 0.402093i \(0.868283\pi\)
\(318\) −2.93355 7.54392i −0.164505 0.423042i
\(319\) −5.03791 8.72592i −0.282069 0.488558i
\(320\) 4.94830 8.57071i 0.276619 0.479117i
\(321\) −1.41187 + 9.17220i −0.0788028 + 0.511942i
\(322\) −32.2285 + 18.4527i −1.79603 + 1.02833i
\(323\) 3.72259i 0.207130i
\(324\) 18.3979 8.57782i 1.02210 0.476546i
\(325\) −0.553120 + 0.319344i −0.0306816 + 0.0177140i
\(326\) −29.7970 + 17.2033i −1.65030 + 0.952802i
\(327\) −1.47322 + 1.83554i −0.0814693 + 0.101506i
\(328\) 2.16407i 0.119491i
\(329\) −15.5698 9.06418i −0.858391 0.499724i
\(330\) 16.5698 + 2.55057i 0.912138 + 0.140404i
\(331\) 7.40412 12.8243i 0.406967 0.704888i −0.587581 0.809165i \(-0.699920\pi\)
0.994548 + 0.104277i \(0.0332529\pi\)
\(332\) 3.11660 + 5.39811i 0.171046 + 0.296260i
\(333\) 7.38990 + 33.3381i 0.404964 + 1.82692i
\(334\) 0.830926 + 0.479736i 0.0454663 + 0.0262500i
\(335\) −4.82849 −0.263809
\(336\) 2.44284 15.4984i 0.133268 0.845506i
\(337\) 20.5062 1.11704 0.558522 0.829490i \(-0.311369\pi\)
0.558522 + 0.829490i \(0.311369\pi\)
\(338\) 22.4958 + 12.9880i 1.22361 + 0.706453i
\(339\) 19.2730 7.49455i 1.04677 0.407048i
\(340\) −4.67925 8.10471i −0.253768 0.439539i
\(341\) 5.48442 9.49929i 0.296998 0.514415i
\(342\) 5.29527 + 1.66975i 0.286335 + 0.0902899i
\(343\) 0.200161 18.5192i 0.0108077 0.999942i
\(344\) 1.65971i 0.0894854i
\(345\) −9.19122 7.37695i −0.494839 0.397161i
\(346\) 19.9806 11.5358i 1.07416 0.620168i
\(347\) 13.7103 7.91567i 0.736010 0.424935i −0.0846070 0.996414i \(-0.526963\pi\)
0.820617 + 0.571479i \(0.193630\pi\)
\(348\) 6.54241 + 5.25099i 0.350710 + 0.281482i
\(349\) 8.96019i 0.479628i 0.970819 + 0.239814i \(0.0770865\pi\)
−0.970819 + 0.239814i \(0.922914\pi\)
\(350\) 5.45783 + 0.0196627i 0.291734 + 0.00105101i
\(351\) 1.46796 2.97641i 0.0783538 0.158869i
\(352\) −19.0426 + 32.9828i −1.01498 + 1.75799i
\(353\) 6.72876 + 11.6545i 0.358136 + 0.620309i 0.987649 0.156680i \(-0.0500792\pi\)
−0.629514 + 0.776989i \(0.716746\pi\)
\(354\) −1.69205 + 0.657976i −0.0899316 + 0.0349710i
\(355\) −1.06348 0.614002i −0.0564438 0.0325878i
\(356\) −31.1286 −1.64981
\(357\) −14.7857 11.9550i −0.782544 0.632725i
\(358\) −0.510954 −0.0270048
\(359\) −4.85824 2.80491i −0.256408 0.148037i 0.366287 0.930502i \(-0.380629\pi\)
−0.622695 + 0.782465i \(0.713962\pi\)
\(360\) −1.54359 + 0.342160i −0.0813543 + 0.0180334i
\(361\) −9.09754 15.7574i −0.478818 0.829337i
\(362\) −14.7894 + 25.6159i −0.777311 + 1.34634i
\(363\) −18.8579 2.90278i −0.989784 0.152356i
\(364\) 1.89376 + 3.30755i 0.0992600 + 0.173363i
\(365\) 14.4565i 0.756689i
\(366\) 11.5938 14.4452i 0.606019 0.755062i
\(367\) −1.71154 + 0.988156i −0.0893415 + 0.0515813i −0.544005 0.839082i \(-0.683093\pi\)
0.454664 + 0.890663i \(0.349759\pi\)
\(368\) 20.1755 11.6483i 1.05172 0.607210i
\(369\) 9.08255 8.32215i 0.472818 0.433234i
\(370\) 23.4806i 1.22070i
\(371\) 2.97809 + 5.20139i 0.154615 + 0.270043i
\(372\) −1.38940 + 9.02623i −0.0720370 + 0.467988i
\(373\) 11.5467 19.9995i 0.597866 1.03553i −0.395270 0.918565i \(-0.629349\pi\)
0.993136 0.116969i \(-0.0373177\pi\)
\(374\) 20.0808 + 34.7809i 1.03835 + 1.79848i
\(375\) 0.627739 + 1.61429i 0.0324163 + 0.0833618i
\(376\) −3.10790 1.79435i −0.160278 0.0925364i
\(377\) 1.37152 0.0706368
\(378\) −23.6377 + 15.6699i −1.21579 + 0.805972i
\(379\) −17.0645 −0.876547 −0.438273 0.898842i \(-0.644410\pi\)
−0.438273 + 0.898842i \(0.644410\pi\)
\(380\) −1.75245 1.01178i −0.0898988 0.0519031i
\(381\) 10.5769 + 27.1996i 0.541871 + 1.39348i
\(382\) 17.5759 + 30.4423i 0.899259 + 1.55756i
\(383\) 13.3056 23.0460i 0.679886 1.17760i −0.295129 0.955457i \(-0.595363\pi\)
0.975015 0.222139i \(-0.0713040\pi\)
\(384\) 1.10193 7.15869i 0.0562327 0.365316i
\(385\) −12.4141 0.0447235i −0.632679 0.00227932i
\(386\) 5.82479i 0.296474i
\(387\) −6.96576 + 6.38259i −0.354090 + 0.324445i
\(388\) −25.2141 + 14.5574i −1.28005 + 0.739040i
\(389\) 8.20951 4.73976i 0.416239 0.240316i −0.277228 0.960804i \(-0.589416\pi\)
0.693467 + 0.720489i \(0.256082\pi\)
\(390\) −1.42841 + 1.77971i −0.0723303 + 0.0901191i
\(391\) 28.2329i 1.42780i
\(392\) 0.0265810 3.68904i 0.00134254 0.186324i
\(393\) −23.7430 3.65473i −1.19767 0.184357i
\(394\) 9.89848 17.1447i 0.498678 0.863736i
\(395\) 4.54056 + 7.86448i 0.228460 + 0.395705i
\(396\) 30.9964 6.87083i 1.55763 0.345272i
\(397\) 10.7042 + 6.18009i 0.537230 + 0.310170i 0.743956 0.668229i \(-0.232947\pi\)
−0.206726 + 0.978399i \(0.566281\pi\)
\(398\) 25.1963 1.26297
\(399\) −4.06123 0.640127i −0.203316 0.0320464i
\(400\) −3.42378 −0.171189
\(401\) 7.11494 + 4.10781i 0.355303 + 0.205134i 0.667019 0.745041i \(-0.267570\pi\)
−0.311715 + 0.950176i \(0.600904\pi\)
\(402\) −16.0793 + 6.25265i −0.801964 + 0.311854i
\(403\) 0.746537 + 1.29304i 0.0371877 + 0.0644109i
\(404\) 10.1945 17.6574i 0.507196 0.878490i
\(405\) −7.37208 5.16260i −0.366322 0.256532i
\(406\) −10.1288 5.89664i −0.502686 0.292646i
\(407\) 53.4076i 2.64732i
\(408\) −2.95379 2.37074i −0.146235 0.117369i
\(409\) −17.9575 + 10.3678i −0.887942 + 0.512653i −0.873269 0.487239i \(-0.838004\pi\)
−0.0146731 + 0.999892i \(0.504671\pi\)
\(410\) −7.33583 + 4.23534i −0.362291 + 0.209169i
\(411\) 5.86011 + 4.70337i 0.289058 + 0.232000i
\(412\) 35.0064i 1.72464i
\(413\) 1.16664 0.667967i 0.0574065 0.0328685i
\(414\) −40.1604 12.6638i −1.97378 0.622390i
\(415\) 1.38179 2.39334i 0.0678296 0.117484i
\(416\) −2.59208 4.48961i −0.127087 0.220121i
\(417\) 17.6977 6.88198i 0.866661 0.337012i
\(418\) 7.52054 + 4.34199i 0.367842 + 0.212374i
\(419\) 6.93924 0.339004 0.169502 0.985530i \(-0.445784\pi\)
0.169502 + 0.985530i \(0.445784\pi\)
\(420\) 9.64662 3.71126i 0.470707 0.181091i
\(421\) −15.2162 −0.741594 −0.370797 0.928714i \(-0.620915\pi\)
−0.370797 + 0.928714i \(0.620915\pi\)
\(422\) 10.0779 + 5.81849i 0.490585 + 0.283240i
\(423\) −4.42093 19.9442i −0.214953 0.969719i
\(424\) 0.596948 + 1.03394i 0.0289904 + 0.0502128i
\(425\) −2.07462 + 3.59334i −0.100634 + 0.174303i
\(426\) −4.33660 0.667529i −0.210109 0.0323419i
\(427\) −6.90050 + 11.8532i −0.333939 + 0.573617i
\(428\) 12.0847i 0.584137i
\(429\) 3.24897 4.04802i 0.156862 0.195440i
\(430\) 5.62613 3.24825i 0.271316 0.156645i
\(431\) −26.9043 + 15.5332i −1.29594 + 0.748209i −0.979699 0.200472i \(-0.935752\pi\)
−0.316236 + 0.948681i \(0.602419\pi\)
\(432\) 14.7926 9.88323i 0.711712 0.475507i
\(433\) 22.3083i 1.07207i 0.844196 + 0.536034i \(0.180078\pi\)
−0.844196 + 0.536034i \(0.819922\pi\)
\(434\) 0.0459658 12.7589i 0.00220643 0.612446i
\(435\) 0.565860 3.67611i 0.0271309 0.176256i
\(436\) 1.53245 2.65429i 0.0733912 0.127117i
\(437\) −3.05235 5.28682i −0.146014 0.252903i
\(438\) −18.7205 48.1416i −0.894498 2.30029i
\(439\) −22.4126 12.9399i −1.06970 0.617590i −0.141598 0.989924i \(-0.545224\pi\)
−0.928099 + 0.372334i \(0.878557\pi\)
\(440\) −2.47283 −0.117887
\(441\) 15.5850 14.0750i 0.742145 0.670240i
\(442\) −5.46677 −0.260028
\(443\) −26.8166 15.4826i −1.27409 0.735599i −0.298338 0.954460i \(-0.596432\pi\)
−0.975756 + 0.218862i \(0.929766\pi\)
\(444\) −16.1158 41.4435i −0.764823 1.96682i
\(445\) 6.90067 + 11.9523i 0.327123 + 0.566594i
\(446\) −0.404714 + 0.700985i −0.0191638 + 0.0331926i
\(447\) 2.28372 14.8362i 0.108016 0.701728i
\(448\) −0.0943310 + 26.1838i −0.00445672 + 1.23707i
\(449\) 24.2032i 1.14222i 0.820874 + 0.571110i \(0.193487\pi\)
−0.820874 + 0.571110i \(0.806513\pi\)
\(450\) 4.18086 + 4.56286i 0.197088 + 0.215095i
\(451\) 16.6856 9.63346i 0.785696 0.453622i
\(452\) −23.3204 + 13.4640i −1.09690 + 0.633295i
\(453\) −14.5930 + 18.1820i −0.685641 + 0.854267i
\(454\) 48.3231i 2.26792i
\(455\) 0.850172 1.46036i 0.0398567 0.0684630i
\(456\) −0.809428 0.124594i −0.0379049 0.00583467i
\(457\) 1.20726 2.09103i 0.0564731 0.0978143i −0.836407 0.548109i \(-0.815348\pi\)
0.892880 + 0.450295i \(0.148681\pi\)
\(458\) 7.97122 + 13.8066i 0.372471 + 0.645138i
\(459\) −1.40919 21.5140i −0.0657755 1.00419i
\(460\) 13.2910 + 7.67354i 0.619694 + 0.357781i
\(461\) 7.45376 0.347156 0.173578 0.984820i \(-0.444467\pi\)
0.173578 + 0.984820i \(0.444467\pi\)
\(462\) −41.3979 + 15.9267i −1.92601 + 0.740975i
\(463\) 13.8862 0.645345 0.322672 0.946511i \(-0.395419\pi\)
0.322672 + 0.946511i \(0.395419\pi\)
\(464\) 6.36721 + 3.67611i 0.295590 + 0.170659i
\(465\) 3.77377 1.46748i 0.175004 0.0680526i
\(466\) 4.20809 + 7.28862i 0.194936 + 0.337639i
\(467\) −10.0692 + 17.4404i −0.465948 + 0.807045i −0.999244 0.0388836i \(-0.987620\pi\)
0.533296 + 0.845929i \(0.320953\pi\)
\(468\) −1.29966 + 4.12158i −0.0600767 + 0.190520i
\(469\) 11.0864 6.34759i 0.511923 0.293105i
\(470\) 14.0470i 0.647942i
\(471\) 10.5540 + 8.47068i 0.486300 + 0.390309i
\(472\) 0.231907 0.133892i 0.0106744 0.00616286i
\(473\) −12.7969 + 7.38828i −0.588401 + 0.339713i
\(474\) 25.3046 + 20.3097i 1.16228 + 0.932855i
\(475\) 0.897174i 0.0411652i
\(476\) 21.3983 + 12.4573i 0.980789 + 0.570980i
\(477\) −2.04382 + 6.48153i −0.0935799 + 0.296769i
\(478\) 5.94399 10.2953i 0.271872 0.470896i
\(479\) −16.6189 28.7847i −0.759335 1.31521i −0.943190 0.332253i \(-0.892191\pi\)
0.183855 0.982953i \(-0.441142\pi\)
\(480\) −13.1030 + 5.09528i −0.598069 + 0.232567i
\(481\) −6.29586 3.63491i −0.287066 0.165738i
\(482\) −42.1234 −1.91867
\(483\) 30.8012 + 4.85486i 1.40150 + 0.220904i
\(484\) 24.8460 1.12936
\(485\) 11.1791 + 6.45424i 0.507616 + 0.293072i
\(486\) −31.2350 7.64548i −1.41685 0.346806i
\(487\) 16.1039 + 27.8927i 0.729736 + 1.26394i 0.956995 + 0.290105i \(0.0936902\pi\)
−0.227259 + 0.973834i \(0.572976\pi\)
\(488\) −1.36603 + 2.36603i −0.0618371 + 0.107105i
\(489\) 28.5524 + 4.39504i 1.29118 + 0.198751i
\(490\) −12.5572 + 7.12979i −0.567279 + 0.322091i
\(491\) 22.5003i 1.01542i −0.861527 0.507712i \(-0.830491\pi\)
0.861527 0.507712i \(-0.169509\pi\)
\(492\) −10.0409 + 12.5103i −0.452678 + 0.564009i
\(493\) 7.71635 4.45504i 0.347527 0.200645i
\(494\) −1.02369 + 0.591030i −0.0460582 + 0.0265917i
\(495\) −9.50953 10.3784i −0.427422 0.466475i
\(496\) 8.00383i 0.359383i
\(497\) 3.24897 + 0.0117049i 0.145736 + 0.000525037i
\(498\) 1.50225 9.75939i 0.0673176 0.437329i
\(499\) −3.20702 + 5.55472i −0.143566 + 0.248663i −0.928837 0.370489i \(-0.879190\pi\)
0.785271 + 0.619152i \(0.212524\pi\)
\(500\) −1.12774 1.95330i −0.0504340 0.0873543i
\(501\) −0.291969 0.750828i −0.0130442 0.0335445i
\(502\) 7.90608 + 4.56458i 0.352866 + 0.203727i
\(503\) 38.0103 1.69479 0.847397 0.530960i \(-0.178169\pi\)
0.847397 + 0.530960i \(0.178169\pi\)
\(504\) 3.09433 2.81483i 0.137832 0.125383i
\(505\) −9.03979 −0.402265
\(506\) −57.0374 32.9306i −2.53562 1.46394i
\(507\) −7.90453 20.3273i −0.351053 0.902768i
\(508\) −19.0015 32.9116i −0.843056 1.46022i
\(509\) −6.34981 + 10.9982i −0.281450 + 0.487486i −0.971742 0.236045i \(-0.924149\pi\)
0.690292 + 0.723531i \(0.257482\pi\)
\(510\) −2.25548 + 14.6527i −0.0998742 + 0.648833i
\(511\) 19.0047 + 33.1927i 0.840719 + 1.46836i
\(512\) 31.3992i 1.38766i
\(513\) −2.58982 3.87630i −0.114344 0.171143i
\(514\) 45.5698 26.3097i 2.01000 1.16047i
\(515\) −13.4412 + 7.76030i −0.592292 + 0.341960i
\(516\) 7.70075 9.59466i 0.339007 0.422382i
\(517\) 31.9506i 1.40518i
\(518\) 30.8679 + 53.9124i 1.35626 + 2.36878i
\(519\) −19.1460 2.94713i −0.840417 0.129365i
\(520\) 0.168300 0.291505i 0.00738046 0.0127833i
\(521\) 18.0970 + 31.3449i 0.792843 + 1.37324i 0.924200 + 0.381909i \(0.124733\pi\)
−0.131357 + 0.991335i \(0.541933\pi\)
\(522\) −2.87601 12.9746i −0.125880 0.567881i
\(523\) −4.27382 2.46749i −0.186881 0.107896i 0.403640 0.914918i \(-0.367745\pi\)
−0.590522 + 0.807022i \(0.701078\pi\)
\(524\) 31.2823 1.36657
\(525\) −3.56348 2.88125i −0.155523 0.125748i
\(526\) 0.738470 0.0321988
\(527\) 8.40023 + 4.84988i 0.365920 + 0.211264i
\(528\) 25.9332 10.0844i 1.12860 0.438869i
\(529\) 11.6496 + 20.1778i 0.506506 + 0.877295i
\(530\) 2.33660 4.04711i 0.101495 0.175795i
\(531\) 1.45376 + 0.458415i 0.0630880 + 0.0198935i
\(532\) 5.35379 + 0.0192878i 0.232116 + 0.000836234i
\(533\) 2.62261i 0.113598i
\(534\) 38.4576 + 30.8663i 1.66422 + 1.33572i
\(535\) −4.64012 + 2.67897i −0.200610 + 0.115822i
\(536\) 2.20378 1.27235i 0.0951888 0.0549573i
\(537\) 0.334575 + 0.268533i 0.0144380 + 0.0115880i
\(538\) 17.6131i 0.759354i
\(539\) 28.5620 16.2170i 1.23025 0.698515i
\(540\) 10.5110 + 5.18398i 0.452319 + 0.223083i
\(541\) −8.32849 + 14.4254i −0.358070 + 0.620195i −0.987638 0.156750i \(-0.949898\pi\)
0.629569 + 0.776945i \(0.283232\pi\)
\(542\) −8.69998 15.0688i −0.373696 0.647261i
\(543\) 23.1466 9.00086i 0.993317 0.386264i
\(544\) −29.1668 16.8394i −1.25051 0.721985i
\(545\) −1.35887 −0.0582077
\(546\) 0.940053 5.96408i 0.0402306 0.255239i
\(547\) 21.2868 0.910159 0.455079 0.890451i \(-0.349611\pi\)
0.455079 + 0.890451i \(0.349611\pi\)
\(548\) −8.47401 4.89247i −0.361992 0.208996i
\(549\) −15.1834 + 3.36563i −0.648011 + 0.143642i
\(550\) 4.83963 + 8.38248i 0.206362 + 0.357430i
\(551\) 0.963296 1.66848i 0.0410378 0.0710795i
\(552\) 6.13887 + 0.944951i 0.261288 + 0.0402198i
\(553\) −20.7641 12.0881i −0.882977 0.514037i
\(554\) 20.8472i 0.885713i
\(555\) −12.3403 + 15.3752i −0.523816 + 0.652642i
\(556\) −21.4143 + 12.3636i −0.908169 + 0.524331i
\(557\) −16.5937 + 9.58040i −0.703099 + 0.405935i −0.808501 0.588495i \(-0.799721\pi\)
0.105401 + 0.994430i \(0.466387\pi\)
\(558\) 10.6667 9.77368i 0.451557 0.413753i
\(559\) 2.01138i 0.0850723i
\(560\) 7.86113 4.50094i 0.332193 0.190199i
\(561\) 5.13017 33.3282i 0.216596 1.40712i
\(562\) 15.6319 27.0752i 0.659390 1.14210i
\(563\) −13.6243 23.5981i −0.574198 0.994540i −0.996128 0.0879116i \(-0.971981\pi\)
0.421930 0.906628i \(-0.361353\pi\)
\(564\) 9.64113 + 24.7931i 0.405965 + 1.04398i
\(565\) 10.3394 + 5.96948i 0.434984 + 0.251138i
\(566\) 49.3843 2.07578
\(567\) 23.7134 + 2.16210i 0.995869 + 0.0907998i
\(568\) 0.647181 0.0271551
\(569\) 22.7124 + 13.1130i 0.952153 + 0.549726i 0.893749 0.448567i \(-0.148066\pi\)
0.0584038 + 0.998293i \(0.481399\pi\)
\(570\) 1.16180 + 2.98768i 0.0486622 + 0.125140i
\(571\) 13.4388 + 23.2767i 0.562397 + 0.974101i 0.997287 + 0.0736170i \(0.0234542\pi\)
−0.434889 + 0.900484i \(0.643212\pi\)
\(572\) −3.37960 + 5.85363i −0.141308 + 0.244753i
\(573\) 4.49023 29.1708i 0.187582 1.21863i
\(574\) 11.2755 19.3683i 0.470631 0.808416i
\(575\) 6.80436i 0.283761i
\(576\) −21.8902 + 20.0575i −0.912091 + 0.835731i
\(577\) −8.93069 + 5.15614i −0.371790 + 0.214653i −0.674240 0.738512i \(-0.735529\pi\)
0.302450 + 0.953165i \(0.402195\pi\)
\(578\) −0.386185 + 0.222964i −0.0160632 + 0.00927407i
\(579\) −3.06123 + 3.81410i −0.127220 + 0.158509i
\(580\) 4.84341i 0.201112i
\(581\) −0.0263416 + 7.31171i −0.00109283 + 0.303341i
\(582\) 45.5853 + 7.01690i 1.88957 + 0.290860i
\(583\) −5.31469 + 9.20532i −0.220112 + 0.381245i
\(584\) 3.80943 + 6.59812i 0.157635 + 0.273032i
\(585\) 1.87066 0.414660i 0.0773422 0.0171441i
\(586\) −37.9138 21.8895i −1.56620 0.904248i
\(587\) 22.1492 0.914197 0.457098 0.889416i \(-0.348889\pi\)
0.457098 + 0.889416i \(0.348889\pi\)
\(588\) −17.2701 + 21.2028i −0.712209 + 0.874387i
\(589\) 2.09734 0.0864195
\(590\) −0.907741 0.524084i −0.0373711 0.0215762i
\(591\) −15.4920 + 6.02425i −0.637255 + 0.247805i
\(592\) −19.4855 33.7498i −0.800848 1.38711i
\(593\) 1.45861 2.52638i 0.0598978 0.103746i −0.834522 0.550975i \(-0.814256\pi\)
0.894419 + 0.447229i \(0.147589\pi\)
\(594\) −45.1072 22.2467i −1.85077 0.912795i
\(595\) 0.0395491 10.9778i 0.00162135 0.450045i
\(596\) 19.5472i 0.800686i
\(597\) −16.4986 13.2419i −0.675244 0.541956i
\(598\) 7.76391 4.48250i 0.317490 0.183303i
\(599\) −31.4551 + 18.1606i −1.28522 + 0.742023i −0.977798 0.209550i \(-0.932800\pi\)
−0.307424 + 0.951573i \(0.599467\pi\)
\(600\) −0.711889 0.571367i −0.0290627 0.0233260i
\(601\) 7.15198i 0.291735i −0.989304 0.145868i \(-0.953403\pi\)
0.989304 0.145868i \(-0.0465974\pi\)
\(602\) −8.64763 + 14.8543i −0.352451 + 0.605416i
\(603\) 13.8149 + 4.35625i 0.562587 + 0.177400i
\(604\) 15.1798 26.2921i 0.617656 1.06981i
\(605\) −5.50793 9.54001i −0.223929 0.387857i
\(606\) −30.1034 + 11.7061i −1.22287 + 0.475527i
\(607\) −37.8248 21.8382i −1.53526 0.886384i −0.999106 0.0422651i \(-0.986543\pi\)
−0.536156 0.844119i \(-0.680124\pi\)
\(608\) −7.28226 −0.295334
\(609\) 3.53342 + 9.18438i 0.143182 + 0.372170i
\(610\) 10.6939 0.432984
\(611\) 3.76643 + 2.17455i 0.152373 + 0.0879729i
\(612\) 6.07589 + 27.4102i 0.245603 + 1.10799i
\(613\) 7.27926 + 12.6080i 0.294007 + 0.509234i 0.974753 0.223285i \(-0.0716779\pi\)
−0.680747 + 0.732519i \(0.738345\pi\)
\(614\) 25.0452 43.3795i 1.01074 1.75065i
\(615\) 7.02943 + 1.08203i 0.283454 + 0.0436318i
\(616\) 5.67771 3.25081i 0.228761 0.130979i
\(617\) 4.68442i 0.188588i 0.995544 + 0.0942938i \(0.0300593\pi\)
−0.995544 + 0.0942938i \(0.969941\pi\)
\(618\) −34.7114 + 43.2483i −1.39630 + 1.73970i
\(619\) −33.0429 + 19.0773i −1.32810 + 0.766782i −0.985006 0.172518i \(-0.944810\pi\)
−0.343098 + 0.939299i \(0.611476\pi\)
\(620\) −4.56627 + 2.63634i −0.183386 + 0.105878i
\(621\) 19.6418 + 29.3987i 0.788197 + 1.17973i
\(622\) 14.6819i 0.588689i
\(623\) −31.5569 18.3713i −1.26430 0.736030i
\(624\) −0.576223 + 3.74343i −0.0230674 + 0.149857i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 3.65877 + 6.33717i 0.146234 + 0.253284i
\(627\) −2.64255 6.79559i −0.105533 0.271390i
\(628\) −15.2615 8.81125i −0.609001 0.351607i
\(629\) −47.2285 −1.88312
\(630\) −15.5978 4.98030i −0.621432 0.198420i
\(631\) 23.9959 0.955264 0.477632 0.878560i \(-0.341495\pi\)
0.477632 + 0.878560i \(0.341495\pi\)
\(632\) −4.14473 2.39296i −0.164869 0.0951869i
\(633\) −3.54115 9.10644i −0.140748 0.361948i
\(634\) −21.7391 37.6532i −0.863369 1.49540i
\(635\) −8.42461 + 14.5918i −0.334320 + 0.579060i
\(636\) 1.34640 8.74690i 0.0533883 0.346837i
\(637\) −0.0322132 + 4.47070i −0.00127633 + 0.177136i
\(638\) 20.7852i 0.822895i
\(639\) 2.48881 + 2.71621i 0.0984557 + 0.107452i
\(640\) 3.62150 2.09088i 0.143152 0.0826491i
\(641\) 20.0037 11.5491i 0.790099 0.456164i −0.0498985 0.998754i \(-0.515890\pi\)
0.839997 + 0.542590i \(0.182556\pi\)
\(642\) −11.9829 + 14.9299i −0.472927 + 0.589238i
\(643\) 22.7592i 0.897536i 0.893648 + 0.448768i \(0.148137\pi\)
−0.893648 + 0.448768i \(0.851863\pi\)
\(644\) −40.6043 0.146283i −1.60003 0.00576436i
\(645\) −5.39114 0.829853i −0.212276 0.0326754i
\(646\) −3.83963 + 6.65043i −0.151068 + 0.261658i
\(647\) 1.21349 + 2.10183i 0.0477073 + 0.0826315i 0.888893 0.458115i \(-0.151475\pi\)
−0.841186 + 0.540746i \(0.818142\pi\)
\(648\) 4.72510 + 0.413659i 0.185619 + 0.0162500i
\(649\) 2.06469 + 1.19205i 0.0810463 + 0.0467921i
\(650\) −1.31754 −0.0516781
\(651\) −6.73555 + 8.33043i −0.263987 + 0.326495i
\(652\) −37.6189 −1.47327
\(653\) −34.7760 20.0779i −1.36089 0.785709i −0.371146 0.928574i \(-0.621035\pi\)
−0.989742 + 0.142865i \(0.954368\pi\)
\(654\) −4.52517 + 1.75967i −0.176948 + 0.0688086i
\(655\) −6.93473 12.0113i −0.270962 0.469321i
\(656\) −7.02943 + 12.1753i −0.274453 + 0.475366i
\(657\) −13.0426 + 41.3619i −0.508842 + 1.61368i
\(658\) −18.4664 32.2525i −0.719896 1.25734i
\(659\) 0.627454i 0.0244421i 0.999925 + 0.0122211i \(0.00389018\pi\)
−0.999925 + 0.0122211i \(0.996110\pi\)
\(660\) 14.2953 + 11.4735i 0.556442 + 0.446605i
\(661\) −28.5745 + 16.4975i −1.11142 + 0.641678i −0.939197 0.343380i \(-0.888428\pi\)
−0.172222 + 0.985058i \(0.555095\pi\)
\(662\) 26.4550 15.2738i 1.02820 0.593634i
\(663\) 3.57967 + 2.87307i 0.139023 + 0.111581i
\(664\) 1.45646i 0.0565217i
\(665\) −1.17944 2.05995i −0.0457366 0.0798813i
\(666\) −21.1842 + 67.1810i −0.820869 + 2.60321i
\(667\) −7.30584 + 12.6541i −0.282883 + 0.489968i
\(668\) 0.524525 + 0.908504i 0.0202945 + 0.0351511i
\(669\) 0.633413 0.246310i 0.0244891 0.00952291i
\(670\) −8.62613 4.98030i −0.333257 0.192406i
\(671\) −24.3238 −0.939009
\(672\) 23.3868 28.9244i 0.902164 1.11578i
\(673\) 1.14437 0.0441121 0.0220560 0.999757i \(-0.492979\pi\)
0.0220560 + 0.999757i \(0.492979\pi\)
\(674\) 36.6345 + 21.1509i 1.41111 + 0.814703i
\(675\) −0.339627 5.18504i −0.0130723 0.199572i
\(676\) 14.2006 + 24.5961i 0.546176 + 0.946004i
\(677\) 7.98910 13.8375i 0.307046 0.531820i −0.670669 0.741757i \(-0.733993\pi\)
0.977715 + 0.209938i \(0.0673261\pi\)
\(678\) 42.1615 + 6.48988i 1.61920 + 0.249242i
\(679\) −34.1524 0.123039i −1.31065 0.00472181i
\(680\) 2.18673i 0.0838571i
\(681\) 25.3963 31.6422i 0.973188 1.21253i
\(682\) 19.5959 11.3137i 0.750366 0.433224i
\(683\) −1.96122 + 1.13231i −0.0750442 + 0.0433268i −0.537053 0.843549i \(-0.680462\pi\)
0.462008 + 0.886876i \(0.347129\pi\)
\(684\) 4.10116 + 4.47588i 0.156812 + 0.171140i
\(685\) 4.33830i 0.165758i
\(686\) 19.4590 32.8782i 0.742949 1.25530i
\(687\) 2.03646 13.2299i 0.0776960 0.504752i
\(688\) 5.39114 9.33773i 0.205535 0.355998i
\(689\) −0.723434 1.25303i −0.0275607 0.0477365i
\(690\) −8.81130 22.6592i −0.335441 0.862620i
\(691\) −2.40044 1.38589i −0.0913169 0.0527218i 0.453646 0.891182i \(-0.350123\pi\)
−0.544963 + 0.838460i \(0.683456\pi\)
\(692\) 25.2256 0.958934
\(693\) 35.4778 + 11.3279i 1.34769 + 0.430311i
\(694\) 32.6582 1.23969
\(695\) 9.49436 + 5.48157i 0.360141 + 0.207928i
\(696\) 0.710424 + 1.82693i 0.0269286 + 0.0692496i
\(697\) 8.51888 + 14.7551i 0.322676 + 0.558891i
\(698\) −9.24191 + 16.0075i −0.349811 + 0.605891i
\(699\) 1.07507 6.98419i 0.0406629 0.264166i
\(700\) 5.15716 + 3.00231i 0.194922 + 0.113477i
\(701\) 23.1184i 0.873169i −0.899663 0.436585i \(-0.856188\pi\)
0.899663 0.436585i \(-0.143812\pi\)
\(702\) 5.69250 3.80326i 0.214850 0.143545i
\(703\) −8.84388 + 5.10602i −0.333553 + 0.192577i
\(704\) −40.2147 + 23.2180i −1.51565 + 0.875060i
\(705\) 7.38244 9.19807i 0.278039 0.346419i
\(706\) 27.7612i 1.04481i
\(707\) 20.7557 11.8838i 0.780599 0.446937i
\(708\) −1.96187 0.301989i −0.0737317 0.0113495i
\(709\) 18.0134 31.2002i 0.676508 1.17175i −0.299517 0.954091i \(-0.596826\pi\)
0.976026 0.217656i \(-0.0698410\pi\)
\(710\) −1.26661 2.19384i −0.0475351 0.0823333i
\(711\) −5.89580 26.5978i −0.221110 0.997494i
\(712\) −6.29910 3.63678i −0.236069 0.136294i
\(713\) −15.9067 −0.595710
\(714\) −14.0840 36.6083i −0.527079 1.37003i
\(715\) 2.99679 0.112074
\(716\) −0.483812 0.279329i −0.0180809 0.0104390i
\(717\) −9.30287 + 3.61754i −0.347422 + 0.135099i
\(718\) −5.78619 10.0220i −0.215939 0.374017i
\(719\) 8.57099 14.8454i 0.319644 0.553640i −0.660770 0.750589i \(-0.729770\pi\)
0.980414 + 0.196949i \(0.0631034\pi\)
\(720\) 9.79586 + 3.08892i 0.365070 + 0.115117i
\(721\) 20.6598 35.4880i 0.769412 1.32164i
\(722\) 37.5343i 1.39688i
\(723\) 27.5826 + 22.1380i 1.02581 + 0.823322i
\(724\) −28.0075 + 16.1701i −1.04089 + 0.600958i
\(725\) 1.85970 1.07370i 0.0690676 0.0398762i
\(726\) −30.6958 24.6367i −1.13923 0.914352i
\(727\) 16.6832i 0.618747i 0.950941 + 0.309374i \(0.100119\pi\)
−0.950941 + 0.309374i \(0.899881\pi\)
\(728\) −0.00320836 + 0.890556i −0.000118910 + 0.0330062i
\(729\) 16.4348 + 21.4219i 0.608695 + 0.793404i
\(730\) 14.9110 25.8267i 0.551882 0.955888i
\(731\) −6.53347 11.3163i −0.241649 0.418548i
\(732\) 18.8749 7.33973i 0.697635 0.271284i
\(733\) 32.9814 + 19.0418i 1.21820 + 0.703326i 0.964532 0.263967i \(-0.0850309\pi\)
0.253664 + 0.967292i \(0.418364\pi\)
\(734\) −4.07690 −0.150481
\(735\) 11.9696 + 1.93086i 0.441506 + 0.0712208i
\(736\) 55.2302 2.03581
\(737\) 19.6205 + 11.3279i 0.722730 + 0.417268i
\(738\) 24.8098 5.49948i 0.913263 0.202439i
\(739\) 11.2186 + 19.4312i 0.412684 + 0.714790i 0.995182 0.0980422i \(-0.0312580\pi\)
−0.582498 + 0.812832i \(0.697925\pi\)
\(740\) 12.8364 22.2333i 0.471876 0.817313i
\(741\) 0.980937 + 0.150995i 0.0360356 + 0.00554693i
\(742\) −0.0445433 + 12.3640i −0.00163524 + 0.453898i
\(743\) 6.39189i 0.234496i 0.993103 + 0.117248i \(0.0374072\pi\)
−0.993103 + 0.117248i \(0.962593\pi\)
\(744\) −1.33570 + 1.66420i −0.0489690 + 0.0610124i
\(745\) 7.50546 4.33328i 0.274979 0.158759i
\(746\) 41.2565 23.8195i 1.51051 0.872093i
\(747\) −6.11275 + 5.60098i −0.223654 + 0.204929i
\(748\) 43.9111i 1.60555i
\(749\) 7.13207 12.2510i 0.260600 0.447641i
\(750\) −0.543588 + 3.53142i −0.0198490 + 0.128949i
\(751\) 5.49944 9.52531i 0.200677 0.347583i −0.748069 0.663620i \(-0.769019\pi\)
0.948747 + 0.316037i \(0.102352\pi\)
\(752\) 11.6570 + 20.1905i 0.425086 + 0.736271i
\(753\) −2.77802 7.14396i −0.101237 0.260340i
\(754\) 2.45023 + 1.41464i 0.0892320 + 0.0515181i
\(755\) −13.4604 −0.489873
\(756\) −30.9485 + 1.91522i −1.12559 + 0.0696558i
\(757\) −27.8216 −1.01119 −0.505597 0.862770i \(-0.668728\pi\)
−0.505597 + 0.862770i \(0.668728\pi\)
\(758\) −30.4859 17.6011i −1.10730 0.639299i
\(759\) 20.0417 + 51.5392i 0.727466 + 1.87075i
\(760\) −0.236414 0.409481i −0.00857563 0.0148534i
\(761\) −6.54766 + 11.3409i −0.237352 + 0.411106i −0.959954 0.280159i \(-0.909613\pi\)
0.722601 + 0.691265i \(0.242946\pi\)
\(762\) −9.15904 + 59.5017i −0.331797 + 2.15552i
\(763\) 3.12002 1.78639i 0.112952 0.0646717i
\(764\) 38.4336i 1.39048i
\(765\) 9.17765 8.40930i 0.331819 0.304039i
\(766\) 47.5412 27.4479i 1.71773 0.991734i
\(767\) −0.281045 + 0.162262i −0.0101480 + 0.00585893i
\(768\) −12.1064 + 15.0839i −0.436853 + 0.544293i
\(769\) 7.74247i 0.279201i 0.990208 + 0.139600i \(0.0445818\pi\)
−0.990208 + 0.139600i \(0.955418\pi\)
\(770\) −22.1317 12.8843i −0.797571 0.464317i
\(771\) −43.6664 6.72153i −1.57261 0.242070i
\(772\) 3.18431 5.51538i 0.114606 0.198503i
\(773\) 19.1733 + 33.2091i 0.689614 + 1.19445i 0.971963 + 0.235135i \(0.0755532\pi\)
−0.282349 + 0.959312i \(0.591113\pi\)