Properties

Label 930.2.o.e.161.20
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 161.20
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.10

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(1.68621 + 0.395836i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.395836 + 1.68621i) q^{6} +(-1.28701 - 2.22916i) q^{7} -1.00000i q^{8} +(2.68663 + 1.33493i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(1.68621 + 0.395836i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.395836 + 1.68621i) q^{6} +(-1.28701 - 2.22916i) q^{7} -1.00000i q^{8} +(2.68663 + 1.33493i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-2.56707 + 4.44629i) q^{11} +(-1.68621 - 0.395836i) q^{12} +(4.59412 + 2.65242i) q^{13} +(2.22916 - 1.28701i) q^{14} +(-1.26238 - 1.18591i) q^{15} +1.00000 q^{16} +(2.59376 + 4.49252i) q^{17} +(-1.33493 + 2.68663i) q^{18} +(-0.264764 - 0.458584i) q^{19} +(0.866025 + 0.500000i) q^{20} +(-1.28778 - 4.26828i) q^{21} +(-4.44629 - 2.56707i) q^{22} -3.03318 q^{23} +(0.395836 - 1.68621i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-2.65242 + 4.59412i) q^{26} +(4.00181 + 3.31444i) q^{27} +(1.28701 + 2.22916i) q^{28} +8.44680 q^{29} +(1.18591 - 1.26238i) q^{30} +(0.790363 + 5.51138i) q^{31} +1.00000i q^{32} +(-6.08863 + 6.48126i) q^{33} +(-4.49252 + 2.59376i) q^{34} +2.57401i q^{35} +(-2.68663 - 1.33493i) q^{36} +(0.580888 - 0.335376i) q^{37} +(0.458584 - 0.264764i) q^{38} +(6.69674 + 6.29106i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(9.85425 + 5.68936i) q^{41} +(4.26828 - 1.28778i) q^{42} +(-6.69156 + 3.86337i) q^{43} +(2.56707 - 4.44629i) q^{44} +(-1.65922 - 2.49940i) q^{45} -3.03318i q^{46} -6.75256i q^{47} +(1.68621 + 0.395836i) q^{48} +(0.187231 - 0.324294i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(2.59533 + 8.60205i) q^{51} +(-4.59412 - 2.65242i) q^{52} +(-0.822328 + 1.42431i) q^{53} +(-3.31444 + 4.00181i) q^{54} +(4.44629 - 2.56707i) q^{55} +(-2.22916 + 1.28701i) q^{56} +(-0.264924 - 0.878074i) q^{57} +8.44680i q^{58} +(-10.4486 + 6.03251i) q^{59} +(1.26238 + 1.18591i) q^{60} -7.06279i q^{61} +(-5.51138 + 0.790363i) q^{62} +(-0.481936 - 7.70698i) q^{63} -1.00000 q^{64} +(-2.65242 - 4.59412i) q^{65} +(-6.48126 - 6.08863i) q^{66} +(3.98360 - 6.89980i) q^{67} +(-2.59376 - 4.49252i) q^{68} +(-5.11459 - 1.20064i) q^{69} -2.57401 q^{70} +(-8.45327 - 4.88050i) q^{71} +(1.33493 - 2.68663i) q^{72} +(-3.21521 - 1.85630i) q^{73} +(0.335376 + 0.580888i) q^{74} +(0.500302 + 1.65822i) q^{75} +(0.264764 + 0.458584i) q^{76} +13.2153 q^{77} +(-6.29106 + 6.69674i) q^{78} +(8.75345 - 5.05381i) q^{79} +(-0.866025 - 0.500000i) q^{80} +(5.43593 + 7.17291i) q^{81} +(-5.68936 + 9.85425i) q^{82} +(3.97145 - 6.87875i) q^{83} +(1.28778 + 4.26828i) q^{84} -5.18752i q^{85} +(-3.86337 - 6.69156i) q^{86} +(14.2431 + 3.34355i) q^{87} +(4.44629 + 2.56707i) q^{88} -14.8905 q^{89} +(2.49940 - 1.65922i) q^{90} -13.6547i q^{91} +3.03318 q^{92} +(-0.848884 + 9.60622i) q^{93} +6.75256 q^{94} +0.529528i q^{95} +(-0.395836 + 1.68621i) q^{96} -6.46323 q^{97} +(0.324294 + 0.187231i) q^{98} +(-12.8322 + 8.51868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) 1.68621 + 0.395836i 0.973535 + 0.228536i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −0.395836 + 1.68621i −0.161600 + 0.688393i
\(7\) −1.28701 2.22916i −0.486443 0.842543i 0.513436 0.858128i \(-0.328372\pi\)
−0.999879 + 0.0155847i \(0.995039\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.68663 + 1.33493i 0.895542 + 0.444976i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −2.56707 + 4.44629i −0.774000 + 1.34061i 0.161355 + 0.986897i \(0.448414\pi\)
−0.935355 + 0.353711i \(0.884920\pi\)
\(12\) −1.68621 0.395836i −0.486768 0.114268i
\(13\) 4.59412 + 2.65242i 1.27418 + 0.735648i 0.975772 0.218790i \(-0.0702109\pi\)
0.298408 + 0.954438i \(0.403544\pi\)
\(14\) 2.22916 1.28701i 0.595768 0.343967i
\(15\) −1.26238 1.18591i −0.325946 0.306201i
\(16\) 1.00000 0.250000
\(17\) 2.59376 + 4.49252i 0.629079 + 1.08960i 0.987737 + 0.156127i \(0.0499011\pi\)
−0.358658 + 0.933469i \(0.616766\pi\)
\(18\) −1.33493 + 2.68663i −0.314646 + 0.633244i
\(19\) −0.264764 0.458584i −0.0607410 0.105206i 0.834056 0.551680i \(-0.186013\pi\)
−0.894797 + 0.446474i \(0.852680\pi\)
\(20\) 0.866025 + 0.500000i 0.193649 + 0.111803i
\(21\) −1.28778 4.26828i −0.281017 0.931415i
\(22\) −4.44629 2.56707i −0.947953 0.547301i
\(23\) −3.03318 −0.632462 −0.316231 0.948682i \(-0.602417\pi\)
−0.316231 + 0.948682i \(0.602417\pi\)
\(24\) 0.395836 1.68621i 0.0807998 0.344197i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −2.65242 + 4.59412i −0.520182 + 0.900982i
\(27\) 4.00181 + 3.31444i 0.770149 + 0.637864i
\(28\) 1.28701 + 2.22916i 0.243221 + 0.421272i
\(29\) 8.44680 1.56853 0.784265 0.620426i \(-0.213040\pi\)
0.784265 + 0.620426i \(0.213040\pi\)
\(30\) 1.18591 1.26238i 0.216517 0.230479i
\(31\) 0.790363 + 5.51138i 0.141953 + 0.989873i
\(32\) 1.00000i 0.176777i
\(33\) −6.08863 + 6.48126i −1.05989 + 1.12824i
\(34\) −4.49252 + 2.59376i −0.770461 + 0.444826i
\(35\) 2.57401i 0.435087i
\(36\) −2.68663 1.33493i −0.447771 0.222488i
\(37\) 0.580888 0.335376i 0.0954974 0.0551355i −0.451491 0.892276i \(-0.649108\pi\)
0.546988 + 0.837140i \(0.315774\pi\)
\(38\) 0.458584 0.264764i 0.0743922 0.0429504i
\(39\) 6.69674 + 6.29106i 1.07234 + 1.00738i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) 9.85425 + 5.68936i 1.53898 + 0.888528i 0.998899 + 0.0469123i \(0.0149381\pi\)
0.540077 + 0.841616i \(0.318395\pi\)
\(42\) 4.26828 1.28778i 0.658610 0.198709i
\(43\) −6.69156 + 3.86337i −1.02045 + 0.589159i −0.914235 0.405184i \(-0.867207\pi\)
−0.106218 + 0.994343i \(0.533874\pi\)
\(44\) 2.56707 4.44629i 0.387000 0.670304i
\(45\) −1.65922 2.49940i −0.247342 0.372588i
\(46\) 3.03318i 0.447218i
\(47\) 6.75256i 0.984961i −0.870323 0.492481i \(-0.836090\pi\)
0.870323 0.492481i \(-0.163910\pi\)
\(48\) 1.68621 + 0.395836i 0.243384 + 0.0571341i
\(49\) 0.187231 0.324294i 0.0267473 0.0463278i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) 2.59533 + 8.60205i 0.363418 + 1.20453i
\(52\) −4.59412 2.65242i −0.637090 0.367824i
\(53\) −0.822328 + 1.42431i −0.112955 + 0.195644i −0.916961 0.398978i \(-0.869365\pi\)
0.804005 + 0.594622i \(0.202698\pi\)
\(54\) −3.31444 + 4.00181i −0.451038 + 0.544578i
\(55\) 4.44629 2.56707i 0.599538 0.346143i
\(56\) −2.22916 + 1.28701i −0.297884 + 0.171983i
\(57\) −0.264924 0.878074i −0.0350900 0.116304i
\(58\) 8.44680i 1.10912i
\(59\) −10.4486 + 6.03251i −1.36029 + 0.785366i −0.989663 0.143414i \(-0.954192\pi\)
−0.370632 + 0.928780i \(0.620859\pi\)
\(60\) 1.26238 + 1.18591i 0.162973 + 0.153100i
\(61\) 7.06279i 0.904297i −0.891943 0.452149i \(-0.850658\pi\)
0.891943 0.452149i \(-0.149342\pi\)
\(62\) −5.51138 + 0.790363i −0.699946 + 0.100376i
\(63\) −0.481936 7.70698i −0.0607182 0.970988i
\(64\) −1.00000 −0.125000
\(65\) −2.65242 4.59412i −0.328992 0.569831i
\(66\) −6.48126 6.08863i −0.797787 0.749458i
\(67\) 3.98360 6.89980i 0.486675 0.842945i −0.513208 0.858264i \(-0.671543\pi\)
0.999883 + 0.0153191i \(0.00487642\pi\)
\(68\) −2.59376 4.49252i −0.314539 0.544798i
\(69\) −5.11459 1.20064i −0.615724 0.144540i
\(70\) −2.57401 −0.307653
\(71\) −8.45327 4.88050i −1.00322 0.579208i −0.0940192 0.995570i \(-0.529972\pi\)
−0.909199 + 0.416362i \(0.863305\pi\)
\(72\) 1.33493 2.68663i 0.157323 0.316622i
\(73\) −3.21521 1.85630i −0.376312 0.217264i 0.299901 0.953970i \(-0.403047\pi\)
−0.676212 + 0.736707i \(0.736380\pi\)
\(74\) 0.335376 + 0.580888i 0.0389867 + 0.0675269i
\(75\) 0.500302 + 1.65822i 0.0577699 + 0.191475i
\(76\) 0.264764 + 0.458584i 0.0303705 + 0.0526032i
\(77\) 13.2153 1.50603
\(78\) −6.29106 + 6.69674i −0.712322 + 0.758257i
\(79\) 8.75345 5.05381i 0.984841 0.568598i 0.0811125 0.996705i \(-0.474153\pi\)
0.903728 + 0.428107i \(0.140819\pi\)
\(80\) −0.866025 0.500000i −0.0968246 0.0559017i
\(81\) 5.43593 + 7.17291i 0.603992 + 0.796990i
\(82\) −5.68936 + 9.85425i −0.628284 + 1.08822i
\(83\) 3.97145 6.87875i 0.435923 0.755041i −0.561447 0.827513i \(-0.689755\pi\)
0.997371 + 0.0724712i \(0.0230886\pi\)
\(84\) 1.28778 + 4.26828i 0.140509 + 0.465708i
\(85\) 5.18752i 0.562665i
\(86\) −3.86337 6.69156i −0.416598 0.721569i
\(87\) 14.2431 + 3.34355i 1.52702 + 0.358466i
\(88\) 4.44629 + 2.56707i 0.473976 + 0.273650i
\(89\) −14.8905 −1.57839 −0.789195 0.614143i \(-0.789502\pi\)
−0.789195 + 0.614143i \(0.789502\pi\)
\(90\) 2.49940 1.65922i 0.263459 0.174897i
\(91\) 13.6547i 1.43140i
\(92\) 3.03318 0.316231
\(93\) −0.848884 + 9.60622i −0.0880252 + 0.996118i
\(94\) 6.75256 0.696473
\(95\) 0.529528i 0.0543284i
\(96\) −0.395836 + 1.68621i −0.0403999 + 0.172098i
\(97\) −6.46323 −0.656242 −0.328121 0.944636i \(-0.606415\pi\)
−0.328121 + 0.944636i \(0.606415\pi\)
\(98\) 0.324294 + 0.187231i 0.0327587 + 0.0189132i
\(99\) −12.8322 + 8.51868i −1.28969 + 0.856159i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 8.88476i 0.884067i −0.896999 0.442034i \(-0.854257\pi\)
0.896999 0.442034i \(-0.145743\pi\)
\(102\) −8.60205 + 2.59533i −0.851730 + 0.256975i
\(103\) −5.26044 + 9.11135i −0.518327 + 0.897768i 0.481447 + 0.876475i \(0.340111\pi\)
−0.999773 + 0.0212926i \(0.993222\pi\)
\(104\) 2.65242 4.59412i 0.260091 0.450491i
\(105\) −1.01889 + 4.34033i −0.0994332 + 0.423573i
\(106\) −1.42431 0.822328i −0.138342 0.0798715i
\(107\) 11.2096 6.47185i 1.08367 0.625657i 0.151786 0.988413i \(-0.451497\pi\)
0.931884 + 0.362756i \(0.118164\pi\)
\(108\) −4.00181 3.31444i −0.385075 0.318932i
\(109\) −1.35138 −0.129439 −0.0647193 0.997904i \(-0.520615\pi\)
−0.0647193 + 0.997904i \(0.520615\pi\)
\(110\) 2.56707 + 4.44629i 0.244760 + 0.423937i
\(111\) 1.11225 0.335578i 0.105571 0.0318517i
\(112\) −1.28701 2.22916i −0.121611 0.210636i
\(113\) −4.08230 2.35692i −0.384030 0.221720i 0.295540 0.955330i \(-0.404500\pi\)
−0.679570 + 0.733610i \(0.737834\pi\)
\(114\) 0.878074 0.264924i 0.0822392 0.0248124i
\(115\) 2.62681 + 1.51659i 0.244951 + 0.141423i
\(116\) −8.44680 −0.784265
\(117\) 8.80191 + 13.2589i 0.813736 + 1.22578i
\(118\) −6.03251 10.4486i −0.555338 0.961873i
\(119\) 6.67636 11.5638i 0.612021 1.06005i
\(120\) −1.18591 + 1.26238i −0.108258 + 0.115239i
\(121\) −7.67968 13.3016i −0.698152 1.20924i
\(122\) 7.06279 0.639435
\(123\) 14.3643 + 13.4941i 1.29519 + 1.21673i
\(124\) −0.790363 5.51138i −0.0709767 0.494937i
\(125\) 1.00000i 0.0894427i
\(126\) 7.70698 0.481936i 0.686593 0.0429343i
\(127\) 13.5026 7.79574i 1.19816 0.691760i 0.238018 0.971261i \(-0.423502\pi\)
0.960146 + 0.279500i \(0.0901688\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −12.8127 + 3.86571i −1.12809 + 0.340356i
\(130\) 4.59412 2.65242i 0.402931 0.232632i
\(131\) −16.4069 + 9.47252i −1.43348 + 0.827618i −0.997384 0.0722837i \(-0.976971\pi\)
−0.436093 + 0.899902i \(0.643638\pi\)
\(132\) 6.08863 6.48126i 0.529947 0.564121i
\(133\) −0.681505 + 1.18040i −0.0590940 + 0.102354i
\(134\) 6.89980 + 3.98360i 0.596052 + 0.344131i
\(135\) −1.80845 4.87129i −0.155647 0.419254i
\(136\) 4.49252 2.59376i 0.385231 0.222413i
\(137\) 2.98906 5.17720i 0.255373 0.442318i −0.709624 0.704580i \(-0.751135\pi\)
0.964997 + 0.262262i \(0.0844686\pi\)
\(138\) 1.20064 5.11459i 0.102206 0.435383i
\(139\) 20.6001i 1.74728i −0.486573 0.873640i \(-0.661753\pi\)
0.486573 0.873640i \(-0.338247\pi\)
\(140\) 2.57401i 0.217544i
\(141\) 2.67291 11.3862i 0.225099 0.958895i
\(142\) 4.88050 8.45327i 0.409562 0.709382i
\(143\) −23.5869 + 13.6179i −1.97243 + 1.13878i
\(144\) 2.68663 + 1.33493i 0.223886 + 0.111244i
\(145\) −7.31514 4.22340i −0.607489 0.350734i
\(146\) 1.85630 3.21521i 0.153629 0.266093i
\(147\) 0.444079 0.472716i 0.0366271 0.0389890i
\(148\) −0.580888 + 0.335376i −0.0477487 + 0.0275677i
\(149\) −20.8920 + 12.0620i −1.71154 + 0.988160i −0.779057 + 0.626953i \(0.784302\pi\)
−0.932486 + 0.361206i \(0.882365\pi\)
\(150\) −1.65822 + 0.500302i −0.135393 + 0.0408495i
\(151\) 16.5788i 1.34916i 0.738201 + 0.674581i \(0.235676\pi\)
−0.738201 + 0.674581i \(0.764324\pi\)
\(152\) −0.458584 + 0.264764i −0.0371961 + 0.0214752i
\(153\) 0.971266 + 15.5322i 0.0785222 + 1.25570i
\(154\) 13.2153i 1.06492i
\(155\) 2.07122 5.16818i 0.166364 0.415118i
\(156\) −6.69674 6.29106i −0.536169 0.503688i
\(157\) 14.6508 1.16926 0.584631 0.811300i \(-0.301239\pi\)
0.584631 + 0.811300i \(0.301239\pi\)
\(158\) 5.05381 + 8.75345i 0.402059 + 0.696387i
\(159\) −1.95041 + 2.07619i −0.154678 + 0.164652i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) 3.90372 + 6.76144i 0.307656 + 0.532876i
\(162\) −7.17291 + 5.43593i −0.563557 + 0.427087i
\(163\) 22.4774 1.76056 0.880281 0.474452i \(-0.157354\pi\)
0.880281 + 0.474452i \(0.157354\pi\)
\(164\) −9.85425 5.68936i −0.769488 0.444264i
\(165\) 8.51353 2.56862i 0.662778 0.199967i
\(166\) 6.87875 + 3.97145i 0.533895 + 0.308244i
\(167\) 8.21327 + 14.2258i 0.635562 + 1.10083i 0.986396 + 0.164388i \(0.0525650\pi\)
−0.350833 + 0.936438i \(0.614102\pi\)
\(168\) −4.26828 + 1.28778i −0.329305 + 0.0993546i
\(169\) 7.57064 + 13.1127i 0.582357 + 1.00867i
\(170\) 5.18752 0.397864
\(171\) −0.0991442 1.58549i −0.00758174 0.121245i
\(172\) 6.69156 3.86337i 0.510226 0.294579i
\(173\) 2.51861 + 1.45412i 0.191486 + 0.110554i 0.592678 0.805439i \(-0.298071\pi\)
−0.401192 + 0.915994i \(0.631404\pi\)
\(174\) −3.34355 + 14.2431i −0.253474 + 1.07977i
\(175\) 1.28701 2.22916i 0.0972885 0.168509i
\(176\) −2.56707 + 4.44629i −0.193500 + 0.335152i
\(177\) −20.0065 + 6.03616i −1.50378 + 0.453705i
\(178\) 14.8905i 1.11609i
\(179\) 2.85826 + 4.95065i 0.213637 + 0.370029i 0.952850 0.303442i \(-0.0981358\pi\)
−0.739213 + 0.673471i \(0.764803\pi\)
\(180\) 1.65922 + 2.49940i 0.123671 + 0.186294i
\(181\) −13.2525 7.65134i −0.985051 0.568719i −0.0812595 0.996693i \(-0.525894\pi\)
−0.903791 + 0.427974i \(0.859228\pi\)
\(182\) 13.6547 1.01215
\(183\) 2.79571 11.9094i 0.206665 0.880365i
\(184\) 3.03318i 0.223609i
\(185\) −0.670752 −0.0493146
\(186\) −9.60622 0.848884i −0.704362 0.0622432i
\(187\) −26.6334 −1.94763
\(188\) 6.75256i 0.492481i
\(189\) 2.23806 13.1864i 0.162795 0.959168i
\(190\) −0.529528 −0.0384160
\(191\) −4.31841 2.49324i −0.312470 0.180404i 0.335562 0.942018i \(-0.391074\pi\)
−0.648031 + 0.761614i \(0.724407\pi\)
\(192\) −1.68621 0.395836i −0.121692 0.0285670i
\(193\) 8.08463 + 14.0030i 0.581945 + 1.00796i 0.995249 + 0.0973645i \(0.0310413\pi\)
−0.413304 + 0.910593i \(0.635625\pi\)
\(194\) 6.46323i 0.464033i
\(195\) −2.65402 8.79659i −0.190058 0.629937i
\(196\) −0.187231 + 0.324294i −0.0133737 + 0.0231639i
\(197\) 4.30925 7.46384i 0.307021 0.531777i −0.670688 0.741740i \(-0.734001\pi\)
0.977709 + 0.209963i \(0.0673343\pi\)
\(198\) −8.51868 12.8322i −0.605396 0.911947i
\(199\) 4.91862 + 2.83976i 0.348671 + 0.201306i 0.664100 0.747644i \(-0.268815\pi\)
−0.315429 + 0.948949i \(0.602148\pi\)
\(200\) 0.866025 0.500000i 0.0612372 0.0353553i
\(201\) 9.44840 10.0577i 0.666438 0.709414i
\(202\) 8.88476 0.625130
\(203\) −10.8711 18.8293i −0.763000 1.32155i
\(204\) −2.59533 8.60205i −0.181709 0.602264i
\(205\) −5.68936 9.85425i −0.397362 0.688251i
\(206\) −9.11135 5.26044i −0.634818 0.366512i
\(207\) −8.14902 4.04908i −0.566396 0.281430i
\(208\) 4.59412 + 2.65242i 0.318545 + 0.183912i
\(209\) 2.71867 0.188054
\(210\) −4.34033 1.01889i −0.299511 0.0703099i
\(211\) 0.695561 + 1.20475i 0.0478844 + 0.0829382i 0.888974 0.457957i \(-0.151419\pi\)
−0.841090 + 0.540896i \(0.818085\pi\)
\(212\) 0.822328 1.42431i 0.0564777 0.0978222i
\(213\) −12.3221 11.5757i −0.844298 0.793151i
\(214\) 6.47185 + 11.2096i 0.442407 + 0.766271i
\(215\) 7.72674 0.526960
\(216\) 3.31444 4.00181i 0.225519 0.272289i
\(217\) 11.2685 8.85503i 0.764959 0.601118i
\(218\) 1.35138i 0.0915269i
\(219\) −4.68674 4.40282i −0.316700 0.297515i
\(220\) −4.44629 + 2.56707i −0.299769 + 0.173072i
\(221\) 27.5189i 1.85112i
\(222\) 0.335578 + 1.11225i 0.0225226 + 0.0746497i
\(223\) 11.5712 6.68062i 0.774863 0.447368i −0.0597434 0.998214i \(-0.519028\pi\)
0.834607 + 0.550846i \(0.185695\pi\)
\(224\) 2.22916 1.28701i 0.148942 0.0859917i
\(225\) 0.187231 + 2.99415i 0.0124821 + 0.199610i
\(226\) 2.35692 4.08230i 0.156780 0.271550i
\(227\) −13.4583 7.77017i −0.893261 0.515724i −0.0182532 0.999833i \(-0.505810\pi\)
−0.875008 + 0.484109i \(0.839144\pi\)
\(228\) 0.264924 + 0.878074i 0.0175450 + 0.0581519i
\(229\) 12.6066 7.27845i 0.833071 0.480974i −0.0218323 0.999762i \(-0.506950\pi\)
0.854903 + 0.518788i \(0.173617\pi\)
\(230\) −1.51659 + 2.62681i −0.100001 + 0.173207i
\(231\) 22.2839 + 5.23111i 1.46617 + 0.344182i
\(232\) 8.44680i 0.554559i
\(233\) 2.89624i 0.189739i −0.995490 0.0948694i \(-0.969757\pi\)
0.995490 0.0948694i \(-0.0302434\pi\)
\(234\) −13.2589 + 8.80191i −0.866760 + 0.575399i
\(235\) −3.37628 + 5.84788i −0.220244 + 0.381474i
\(236\) 10.4486 6.03251i 0.680147 0.392683i
\(237\) 16.7607 5.05686i 1.08872 0.328479i
\(238\) 11.5638 + 6.67636i 0.749570 + 0.432764i
\(239\) 2.74446 4.75354i 0.177524 0.307481i −0.763508 0.645799i \(-0.776524\pi\)
0.941032 + 0.338318i \(0.109858\pi\)
\(240\) −1.26238 1.18591i −0.0814866 0.0765502i
\(241\) −4.61436 + 2.66410i −0.297237 + 0.171610i −0.641201 0.767373i \(-0.721564\pi\)
0.343964 + 0.938983i \(0.388230\pi\)
\(242\) 13.3016 7.67968i 0.855059 0.493668i
\(243\) 6.32684 + 14.2468i 0.405867 + 0.913932i
\(244\) 7.06279i 0.452149i
\(245\) −0.324294 + 0.187231i −0.0207184 + 0.0119618i
\(246\) −13.4941 + 14.3643i −0.860355 + 0.915835i
\(247\) 2.80906i 0.178736i
\(248\) 5.51138 0.790363i 0.349973 0.0501881i
\(249\) 9.41957 10.0270i 0.596941 0.635435i
\(250\) 1.00000 0.0632456
\(251\) −0.392937 0.680586i −0.0248019 0.0429582i 0.853358 0.521325i \(-0.174562\pi\)
−0.878160 + 0.478367i \(0.841229\pi\)
\(252\) 0.481936 + 7.70698i 0.0303591 + 0.485494i
\(253\) 7.78638 13.4864i 0.489526 0.847883i
\(254\) 7.79574 + 13.5026i 0.489148 + 0.847230i
\(255\) 2.05341 8.74726i 0.128589 0.547774i
\(256\) 1.00000 0.0625000
\(257\) 10.4435 + 6.02954i 0.651446 + 0.376113i 0.789010 0.614380i \(-0.210594\pi\)
−0.137564 + 0.990493i \(0.543927\pi\)
\(258\) −3.86571 12.8127i −0.240668 0.797681i
\(259\) −1.49521 0.863261i −0.0929080 0.0536405i
\(260\) 2.65242 + 4.59412i 0.164496 + 0.284915i
\(261\) 22.6934 + 11.2759i 1.40469 + 0.697959i
\(262\) −9.47252 16.4069i −0.585214 1.01362i
\(263\) 2.04756 0.126258 0.0631291 0.998005i \(-0.479892\pi\)
0.0631291 + 0.998005i \(0.479892\pi\)
\(264\) 6.48126 + 6.08863i 0.398894 + 0.374729i
\(265\) 1.42431 0.822328i 0.0874949 0.0505152i
\(266\) −1.18040 0.681505i −0.0723751 0.0417858i
\(267\) −25.1085 5.89420i −1.53662 0.360719i
\(268\) −3.98360 + 6.89980i −0.243337 + 0.421473i
\(269\) 13.5077 23.3961i 0.823581 1.42648i −0.0794184 0.996841i \(-0.525306\pi\)
0.902999 0.429642i \(-0.141360\pi\)
\(270\) 4.87129 1.80845i 0.296458 0.110059i
\(271\) 3.17938i 0.193134i −0.995327 0.0965668i \(-0.969214\pi\)
0.995327 0.0965668i \(-0.0307861\pi\)
\(272\) 2.59376 + 4.49252i 0.157270 + 0.272399i
\(273\) 5.40503 23.0247i 0.327127 1.39352i
\(274\) 5.17720 + 2.98906i 0.312766 + 0.180576i
\(275\) −5.13414 −0.309600
\(276\) 5.11459 + 1.20064i 0.307862 + 0.0722702i
\(277\) 16.5427i 0.993955i −0.867763 0.496978i \(-0.834443\pi\)
0.867763 0.496978i \(-0.165557\pi\)
\(278\) 20.6001 1.23551
\(279\) −5.23389 + 15.8621i −0.313345 + 0.949639i
\(280\) 2.57401 0.153827
\(281\) 1.55339i 0.0926672i −0.998926 0.0463336i \(-0.985246\pi\)
0.998926 0.0463336i \(-0.0147537\pi\)
\(282\) 11.3862 + 2.67291i 0.678041 + 0.159169i
\(283\) −3.03122 −0.180187 −0.0900936 0.995933i \(-0.528717\pi\)
−0.0900936 + 0.995933i \(0.528717\pi\)
\(284\) 8.45327 + 4.88050i 0.501609 + 0.289604i
\(285\) −0.209606 + 0.892896i −0.0124160 + 0.0528906i
\(286\) −13.6179 23.5869i −0.805242 1.39472i
\(287\) 29.2889i 1.72887i
\(288\) −1.33493 + 2.68663i −0.0786614 + 0.158311i
\(289\) −4.95516 + 8.58260i −0.291480 + 0.504859i
\(290\) 4.22340 7.31514i 0.248006 0.429560i
\(291\) −10.8984 2.55838i −0.638875 0.149975i
\(292\) 3.21521 + 1.85630i 0.188156 + 0.108632i
\(293\) 6.74006 3.89138i 0.393759 0.227337i −0.290029 0.957018i \(-0.593665\pi\)
0.683787 + 0.729681i \(0.260332\pi\)
\(294\) 0.472716 + 0.444079i 0.0275694 + 0.0258992i
\(295\) 12.0650 0.702453
\(296\) −0.335376 0.580888i −0.0194933 0.0337634i
\(297\) −25.0099 + 9.28484i −1.45122 + 0.538761i
\(298\) −12.0620 20.8920i −0.698734 1.21024i
\(299\) −13.9348 8.04526i −0.805870 0.465270i
\(300\) −0.500302 1.65822i −0.0288850 0.0957375i
\(301\) 17.2241 + 9.94437i 0.992783 + 0.573184i
\(302\) −16.5788 −0.954002
\(303\) 3.51691 14.9816i 0.202041 0.860671i
\(304\) −0.264764 0.458584i −0.0151852 0.0263016i
\(305\) −3.53139 + 6.11655i −0.202207 + 0.350233i
\(306\) −15.5322 + 0.971266i −0.887917 + 0.0555236i
\(307\) −5.71957 9.90659i −0.326433 0.565399i 0.655368 0.755310i \(-0.272513\pi\)
−0.981801 + 0.189911i \(0.939180\pi\)
\(308\) −13.2153 −0.753013
\(309\) −12.4768 + 13.2814i −0.709782 + 0.755552i
\(310\) 5.16818 + 2.07122i 0.293533 + 0.117637i
\(311\) 7.22744i 0.409831i 0.978780 + 0.204915i \(0.0656919\pi\)
−0.978780 + 0.204915i \(0.934308\pi\)
\(312\) 6.29106 6.69674i 0.356161 0.379129i
\(313\) 11.2641 6.50334i 0.636686 0.367591i −0.146651 0.989188i \(-0.546849\pi\)
0.783337 + 0.621598i \(0.213516\pi\)
\(314\) 14.6508i 0.826793i
\(315\) −3.43612 + 6.91541i −0.193604 + 0.389639i
\(316\) −8.75345 + 5.05381i −0.492420 + 0.284299i
\(317\) 19.7129 11.3812i 1.10718 0.639233i 0.169086 0.985601i \(-0.445918\pi\)
0.938099 + 0.346368i \(0.112585\pi\)
\(318\) −2.07619 1.95041i −0.116427 0.109374i
\(319\) −21.6835 + 37.5569i −1.21404 + 2.10278i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) 21.4635 6.47576i 1.19798 0.361442i
\(322\) −6.76144 + 3.90372i −0.376801 + 0.217546i
\(323\) 1.37347 2.37891i 0.0764217 0.132366i
\(324\) −5.43593 7.17291i −0.301996 0.398495i
\(325\) 5.30484i 0.294259i
\(326\) 22.4774i 1.24491i
\(327\) −2.27871 0.534925i −0.126013 0.0295814i
\(328\) 5.68936 9.85425i 0.314142 0.544110i
\(329\) −15.0525 + 8.69058i −0.829873 + 0.479127i
\(330\) 2.56862 + 8.51353i 0.141398 + 0.468655i
\(331\) 4.25023 + 2.45387i 0.233614 + 0.134877i 0.612238 0.790673i \(-0.290269\pi\)
−0.378624 + 0.925550i \(0.623603\pi\)
\(332\) −3.97145 + 6.87875i −0.217962 + 0.377521i
\(333\) 2.00833 0.125586i 0.110056 0.00688206i
\(334\) −14.2258 + 8.21327i −0.778402 + 0.449410i
\(335\) −6.89980 + 3.98360i −0.376977 + 0.217647i
\(336\) −1.28778 4.26828i −0.0702543 0.232854i
\(337\) 27.0752i 1.47488i 0.675414 + 0.737439i \(0.263965\pi\)
−0.675414 + 0.737439i \(0.736035\pi\)
\(338\) −13.1127 + 7.57064i −0.713239 + 0.411789i
\(339\) −5.95067 5.59018i −0.323196 0.303617i
\(340\) 5.18752i 0.281333i
\(341\) −26.5341 10.6339i −1.43690 0.575858i
\(342\) 1.58549 0.0991442i 0.0857333 0.00536110i
\(343\) −18.9820 −1.02493
\(344\) 3.86337 + 6.69156i 0.208299 + 0.360785i
\(345\) 3.82904 + 3.59708i 0.206149 + 0.193660i
\(346\) −1.45412 + 2.51861i −0.0781738 + 0.135401i
\(347\) −10.2487 17.7512i −0.550178 0.952936i −0.998261 0.0589439i \(-0.981227\pi\)
0.448084 0.893992i \(-0.352107\pi\)
\(348\) −14.2431 3.34355i −0.763510 0.179233i
\(349\) −20.0539 −1.07346 −0.536732 0.843753i \(-0.680341\pi\)
−0.536732 + 0.843753i \(0.680341\pi\)
\(350\) 2.22916 + 1.28701i 0.119154 + 0.0687934i
\(351\) 9.59354 + 25.8414i 0.512065 + 1.37931i
\(352\) −4.44629 2.56707i −0.236988 0.136825i
\(353\) 4.20458 + 7.28255i 0.223787 + 0.387611i 0.955955 0.293513i \(-0.0948246\pi\)
−0.732168 + 0.681125i \(0.761491\pi\)
\(354\) −6.03616 20.0065i −0.320818 1.06333i
\(355\) 4.88050 + 8.45327i 0.259030 + 0.448653i
\(356\) 14.8905 0.789195
\(357\) 15.8351 16.8563i 0.838085 0.892129i
\(358\) −4.95065 + 2.85826i −0.261650 + 0.151064i
\(359\) −22.0093 12.7070i −1.16160 0.670652i −0.209916 0.977719i \(-0.567319\pi\)
−0.951688 + 0.307067i \(0.900652\pi\)
\(360\) −2.49940 + 1.65922i −0.131730 + 0.0874487i
\(361\) 9.35980 16.2116i 0.492621 0.853245i
\(362\) 7.65134 13.2525i 0.402145 0.696536i
\(363\) −7.68432 25.4692i −0.403322 1.33679i
\(364\) 13.6547i 0.715701i
\(365\) 1.85630 + 3.21521i 0.0971633 + 0.168292i
\(366\) 11.9094 + 2.79571i 0.622512 + 0.146134i
\(367\) 14.9832 + 8.65053i 0.782114 + 0.451554i 0.837179 0.546929i \(-0.184203\pi\)
−0.0550648 + 0.998483i \(0.517537\pi\)
\(368\) −3.03318 −0.158115
\(369\) 18.8798 + 28.4399i 0.982844 + 1.48052i
\(370\) 0.670752i 0.0348707i
\(371\) 4.23336 0.219785
\(372\) 0.848884 9.60622i 0.0440126 0.498059i
\(373\) −14.4940 −0.750471 −0.375236 0.926929i \(-0.622438\pi\)
−0.375236 + 0.926929i \(0.622438\pi\)
\(374\) 26.6334i 1.37718i
\(375\) 0.395836 1.68621i 0.0204409 0.0870757i
\(376\) −6.75256 −0.348236
\(377\) 38.8056 + 22.4044i 1.99859 + 1.15389i
\(378\) 13.1864 + 2.23806i 0.678234 + 0.115113i
\(379\) −9.90778 17.1608i −0.508929 0.881490i −0.999947 0.0103407i \(-0.996708\pi\)
0.491018 0.871149i \(-0.336625\pi\)
\(380\) 0.529528i 0.0271642i
\(381\) 25.8541 7.80045i 1.32455 0.399629i
\(382\) 2.49324 4.31841i 0.127565 0.220949i
\(383\) 1.97590 3.42236i 0.100964 0.174874i −0.811118 0.584882i \(-0.801141\pi\)
0.912082 + 0.410008i \(0.134474\pi\)
\(384\) 0.395836 1.68621i 0.0201999 0.0860492i
\(385\) −11.4448 6.60766i −0.583282 0.336758i
\(386\) −14.0030 + 8.08463i −0.712734 + 0.411497i
\(387\) −23.1350 + 1.44669i −1.17602 + 0.0735393i
\(388\) 6.46323 0.328121
\(389\) 9.71945 + 16.8346i 0.492796 + 0.853547i 0.999966 0.00829898i \(-0.00264168\pi\)
−0.507170 + 0.861846i \(0.669308\pi\)
\(390\) 8.79659 2.65402i 0.445433 0.134392i
\(391\) −7.86734 13.6266i −0.397868 0.689128i
\(392\) −0.324294 0.187231i −0.0163793 0.00945661i
\(393\) −31.4151 + 9.47824i −1.58468 + 0.478114i
\(394\) 7.46384 + 4.30925i 0.376023 + 0.217097i
\(395\) −10.1076 −0.508569
\(396\) 12.8322 8.51868i 0.644844 0.428080i
\(397\) 11.9703 + 20.7332i 0.600772 + 1.04057i 0.992704 + 0.120574i \(0.0384735\pi\)
−0.391932 + 0.919994i \(0.628193\pi\)
\(398\) −2.83976 + 4.91862i −0.142344 + 0.246548i
\(399\) −1.61641 + 1.72064i −0.0809216 + 0.0861399i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) −20.4973 −1.02359 −0.511793 0.859109i \(-0.671019\pi\)
−0.511793 + 0.859109i \(0.671019\pi\)
\(402\) 10.0577 + 9.44840i 0.501632 + 0.471243i
\(403\) −10.9875 + 27.4163i −0.547324 + 1.36571i
\(404\) 8.88476i 0.442034i
\(405\) −1.12120 8.92989i −0.0557128 0.443730i
\(406\) 18.8293 10.8711i 0.934480 0.539522i
\(407\) 3.44373i 0.170699i
\(408\) 8.60205 2.59533i 0.425865 0.128488i
\(409\) 7.58719 4.38047i 0.375163 0.216600i −0.300549 0.953766i \(-0.597170\pi\)
0.675712 + 0.737166i \(0.263837\pi\)
\(410\) 9.85425 5.68936i 0.486667 0.280977i
\(411\) 7.08951 7.54669i 0.349700 0.372251i
\(412\) 5.26044 9.11135i 0.259163 0.448884i
\(413\) 26.8949 + 15.5278i 1.32341 + 0.764071i
\(414\) 4.04908 8.14902i 0.199001 0.400503i
\(415\) −6.87875 + 3.97145i −0.337665 + 0.194951i
\(416\) −2.65242 + 4.59412i −0.130045 + 0.225245i
\(417\) 8.15428 34.7362i 0.399317 1.70104i
\(418\) 2.71867i 0.132974i
\(419\) 17.8444i 0.871754i 0.900006 + 0.435877i \(0.143562\pi\)
−0.900006 + 0.435877i \(0.856438\pi\)
\(420\) 1.01889 4.34033i 0.0497166 0.211787i
\(421\) −8.25775 + 14.3028i −0.402458 + 0.697078i −0.994022 0.109180i \(-0.965177\pi\)
0.591564 + 0.806258i \(0.298511\pi\)
\(422\) −1.20475 + 0.695561i −0.0586462 + 0.0338594i
\(423\) 9.01418 18.1416i 0.438284 0.882075i
\(424\) 1.42431 + 0.822328i 0.0691708 + 0.0399358i
\(425\) −2.59376 + 4.49252i −0.125816 + 0.217919i
\(426\) 11.5757 12.3221i 0.560843 0.597009i
\(427\) −15.7441 + 9.08985i −0.761909 + 0.439889i
\(428\) −11.2096 + 6.47185i −0.541835 + 0.312829i
\(429\) −45.1629 + 13.6261i −2.18049 + 0.657874i
\(430\) 7.72674i 0.372617i
\(431\) 10.7198 6.18908i 0.516354 0.298117i −0.219087 0.975705i \(-0.570308\pi\)
0.735442 + 0.677588i \(0.236975\pi\)
\(432\) 4.00181 + 3.31444i 0.192537 + 0.159466i
\(433\) 1.18613i 0.0570017i 0.999594 + 0.0285008i \(0.00907333\pi\)
−0.999594 + 0.0285008i \(0.990927\pi\)
\(434\) 8.85503 + 11.2685i 0.425055 + 0.540908i
\(435\) −10.6631 10.0171i −0.511257 0.480285i
\(436\) 1.35138 0.0647193
\(437\) 0.803076 + 1.39097i 0.0384163 + 0.0665391i
\(438\) 4.40282 4.68674i 0.210375 0.223941i
\(439\) 8.22962 14.2541i 0.392778 0.680312i −0.600036 0.799973i \(-0.704847\pi\)
0.992815 + 0.119660i \(0.0381806\pi\)
\(440\) −2.56707 4.44629i −0.122380 0.211969i
\(441\) 0.935931 0.621317i 0.0445681 0.0295865i
\(442\) −27.5189 −1.30894
\(443\) 20.9565 + 12.0992i 0.995671 + 0.574851i 0.906965 0.421207i \(-0.138393\pi\)
0.0887065 + 0.996058i \(0.471727\pi\)
\(444\) −1.11225 + 0.335578i −0.0527853 + 0.0159258i
\(445\) 12.8955 + 7.44525i 0.611308 + 0.352939i
\(446\) 6.68062 + 11.5712i 0.316337 + 0.547911i
\(447\) −40.0030 + 12.0693i −1.89208 + 0.570859i
\(448\) 1.28701 + 2.22916i 0.0608053 + 0.105318i
\(449\) −32.2944 −1.52406 −0.762032 0.647539i \(-0.775798\pi\)
−0.762032 + 0.647539i \(0.775798\pi\)
\(450\) −2.99415 + 0.187231i −0.141146 + 0.00882617i
\(451\) −50.5931 + 29.2099i −2.38233 + 1.37544i
\(452\) 4.08230 + 2.35692i 0.192015 + 0.110860i
\(453\) −6.56248 + 27.9553i −0.308332 + 1.31346i
\(454\) 7.77017 13.4583i 0.364672 0.631631i
\(455\) −6.82736 + 11.8253i −0.320071 + 0.554380i
\(456\) −0.878074 + 0.264924i −0.0411196 + 0.0124062i
\(457\) 19.0886i 0.892929i −0.894801 0.446464i \(-0.852683\pi\)
0.894801 0.446464i \(-0.147317\pi\)
\(458\) 7.27845 + 12.6066i 0.340100 + 0.589070i
\(459\) −4.51045 + 26.5751i −0.210530 + 1.24042i
\(460\) −2.62681 1.51659i −0.122476 0.0707114i
\(461\) −12.8115 −0.596691 −0.298345 0.954458i \(-0.596435\pi\)
−0.298345 + 0.954458i \(0.596435\pi\)
\(462\) −5.23111 + 22.2839i −0.243373 + 1.03674i
\(463\) 20.6891i 0.961503i 0.876857 + 0.480751i \(0.159636\pi\)
−0.876857 + 0.480751i \(0.840364\pi\)
\(464\) 8.44680 0.392133
\(465\) 5.53826 7.89479i 0.256831 0.366112i
\(466\) 2.89624 0.134166
\(467\) 23.8528i 1.10378i −0.833918 0.551889i \(-0.813907\pi\)
0.833918 0.551889i \(-0.186093\pi\)
\(468\) −8.80191 13.2589i −0.406868 0.612892i
\(469\) −20.5077 −0.946957
\(470\) −5.84788 3.37628i −0.269743 0.155736i
\(471\) 24.7044 + 5.79932i 1.13832 + 0.267219i
\(472\) 6.03251 + 10.4486i 0.277669 + 0.480937i
\(473\) 39.6702i 1.82404i
\(474\) 5.05686 + 16.7607i 0.232269 + 0.769843i
\(475\) 0.264764 0.458584i 0.0121482 0.0210413i
\(476\) −6.67636 + 11.5638i −0.306011 + 0.530026i
\(477\) −4.11064 + 2.72885i −0.188213 + 0.124945i
\(478\) 4.75354 + 2.74446i 0.217422 + 0.125529i
\(479\) 2.62035 1.51286i 0.119727 0.0691243i −0.438941 0.898516i \(-0.644646\pi\)
0.558667 + 0.829392i \(0.311313\pi\)
\(480\) 1.18591 1.26238i 0.0541292 0.0576197i
\(481\) 3.55823 0.162241
\(482\) −2.66410 4.61436i −0.121347 0.210178i
\(483\) 3.90608 + 12.9465i 0.177733 + 0.589085i
\(484\) 7.67968 + 13.3016i 0.349076 + 0.604618i
\(485\) 5.59732 + 3.23162i 0.254161 + 0.146740i
\(486\) −14.2468 + 6.32684i −0.646248 + 0.286991i
\(487\) −33.0749 19.0958i −1.49877 0.865314i −0.498768 0.866735i \(-0.666214\pi\)
−0.999999 + 0.00142186i \(0.999547\pi\)
\(488\) −7.06279 −0.319717
\(489\) 37.9016 + 8.89736i 1.71397 + 0.402352i
\(490\) −0.187231 0.324294i −0.00845825 0.0146501i
\(491\) 12.7244 22.0394i 0.574245 0.994622i −0.421878 0.906653i \(-0.638629\pi\)
0.996123 0.0879695i \(-0.0280378\pi\)
\(492\) −14.3643 13.4941i −0.647593 0.608363i
\(493\) 21.9089 + 37.9474i 0.986729 + 1.70907i
\(494\) 2.80906 0.126385
\(495\) 15.3724 0.961271i 0.690937 0.0432059i
\(496\) 0.790363 + 5.51138i 0.0354884 + 0.247468i
\(497\) 25.1249i 1.12701i
\(498\) 10.0270 + 9.41957i 0.449321 + 0.422101i
\(499\) −7.16472 + 4.13656i −0.320737 + 0.185178i −0.651721 0.758459i \(-0.725953\pi\)
0.330984 + 0.943636i \(0.392619\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) 8.21824 + 27.2389i 0.367164 + 1.21694i
\(502\) 0.680586 0.392937i 0.0303760 0.0175376i
\(503\) −12.4153 + 7.16797i −0.553570 + 0.319604i −0.750561 0.660802i \(-0.770216\pi\)
0.196991 + 0.980405i \(0.436883\pi\)
\(504\) −7.70698 + 0.481936i −0.343296 + 0.0214671i
\(505\) −4.44238 + 7.69443i −0.197683 + 0.342398i
\(506\) 13.4864 + 7.78638i 0.599544 + 0.346147i
\(507\) 7.57522 + 25.1076i 0.336427 + 1.11507i
\(508\) −13.5026 + 7.79574i −0.599082 + 0.345880i
\(509\) 17.7292 30.7078i 0.785832 1.36110i −0.142668 0.989771i \(-0.545568\pi\)
0.928501 0.371331i \(-0.121098\pi\)
\(510\) 8.74726 + 2.05341i 0.387335 + 0.0909264i
\(511\) 9.55629i 0.422745i
\(512\) 1.00000i 0.0441942i
\(513\) 0.460415 2.71271i 0.0203278 0.119769i
\(514\) −6.02954 + 10.4435i −0.265952 + 0.460642i
\(515\) 9.11135 5.26044i 0.401494 0.231803i
\(516\) 12.8127 3.86571i 0.564046 0.170178i
\(517\) 30.0238 + 17.3343i 1.32045 + 0.762360i
\(518\) 0.863261 1.49521i 0.0379295 0.0656959i
\(519\) 3.67131 + 3.44891i 0.161153 + 0.151390i
\(520\) −4.59412 + 2.65242i −0.201466 + 0.116316i
\(521\) 13.5448 7.82011i 0.593410 0.342605i −0.173035 0.984916i \(-0.555357\pi\)
0.766445 + 0.642310i \(0.222024\pi\)
\(522\) −11.2759 + 22.6934i −0.493531 + 0.993263i
\(523\) 26.2117i 1.14616i 0.819500 + 0.573078i \(0.194251\pi\)
−0.819500 + 0.573078i \(0.805749\pi\)
\(524\) 16.4069 9.47252i 0.716738 0.413809i
\(525\) 3.05255 3.24939i 0.133224 0.141815i
\(526\) 2.04756i 0.0892780i
\(527\) −22.7100 + 17.8459i −0.989263 + 0.777380i
\(528\) −6.08863 + 6.48126i −0.264973 + 0.282060i
\(529\) −13.7998 −0.599992
\(530\) 0.822328 + 1.42431i 0.0357196 + 0.0618682i
\(531\) −36.1245 + 2.25895i −1.56767 + 0.0980302i
\(532\) 0.681505 1.18040i 0.0295470 0.0511769i
\(533\) 30.1811 + 52.2752i 1.30729 + 2.26429i
\(534\) 5.89420 25.1085i 0.255067 1.08655i
\(535\) −12.9437 −0.559605
\(536\) −6.89980 3.98360i −0.298026 0.172065i
\(537\) 2.85999 + 9.47926i 0.123418 + 0.409060i
\(538\) 23.3961 + 13.5077i 1.00868 + 0.582360i
\(539\) 0.961271 + 1.66497i 0.0414049 + 0.0717154i
\(540\) 1.80845 + 4.87129i 0.0778234 + 0.209627i
\(541\) −2.17123 3.76069i −0.0933487 0.161685i 0.815570 0.578659i \(-0.196424\pi\)
−0.908918 + 0.416974i \(0.863090\pi\)
\(542\) 3.17938 0.136566
\(543\) −19.3179 18.1476i −0.829009 0.778788i
\(544\) −4.49252 + 2.59376i −0.192615 + 0.111206i
\(545\) 1.17033 + 0.675690i 0.0501314 + 0.0289434i
\(546\) 23.0247 + 5.40503i 0.985368 + 0.231314i
\(547\) −3.95664 + 6.85310i −0.169174 + 0.293017i −0.938130 0.346285i \(-0.887443\pi\)
0.768956 + 0.639302i \(0.220777\pi\)
\(548\) −2.98906 + 5.17720i −0.127686 + 0.221159i
\(549\) 9.42832 18.9751i 0.402391 0.809836i
\(550\) 5.13414i 0.218920i
\(551\) −2.23641 3.87357i −0.0952741 0.165020i
\(552\) −1.20064 + 5.11459i −0.0511028 + 0.217691i
\(553\) −22.5315 13.0086i −0.958137 0.553180i
\(554\) 16.5427 0.702833
\(555\) −1.13103 0.265508i −0.0480096 0.0112702i
\(556\) 20.6001i 0.873640i
\(557\) −23.6372 −1.00154 −0.500770 0.865580i \(-0.666950\pi\)
−0.500770 + 0.865580i \(0.666950\pi\)
\(558\) −15.8621 5.23389i −0.671496 0.221568i
\(559\) −40.9891 −1.73365
\(560\) 2.57401i 0.108772i
\(561\) −44.9096 10.5425i −1.89609 0.445104i
\(562\) 1.55339 0.0655256
\(563\) −9.05588 5.22841i −0.381660 0.220351i 0.296880 0.954915i \(-0.404054\pi\)
−0.678540 + 0.734563i \(0.737387\pi\)
\(564\) −2.67291 + 11.3862i −0.112550 + 0.479447i
\(565\) 2.35692 + 4.08230i 0.0991562 + 0.171744i
\(566\) 3.03122i 0.127412i
\(567\) 8.99349 21.3491i 0.377691 0.896579i
\(568\) −4.88050 + 8.45327i −0.204781 + 0.354691i
\(569\) 5.12252 8.87246i 0.214747 0.371953i −0.738447 0.674311i \(-0.764441\pi\)
0.953194 + 0.302358i \(0.0977739\pi\)
\(570\) −0.892896 0.209606i −0.0373993 0.00877944i
\(571\) 27.0944 + 15.6430i 1.13387 + 0.654638i 0.944904 0.327346i \(-0.106154\pi\)
0.188962 + 0.981984i \(0.439488\pi\)
\(572\) 23.5869 13.6179i 0.986216 0.569392i
\(573\) −6.29485 5.91352i −0.262971 0.247041i
\(574\) 29.2889 1.22250
\(575\) −1.51659 2.62681i −0.0632462 0.109546i
\(576\) −2.68663 1.33493i −0.111943 0.0556220i
\(577\) −12.2866 21.2810i −0.511498 0.885941i −0.999911 0.0133282i \(-0.995757\pi\)
0.488413 0.872613i \(-0.337576\pi\)
\(578\) −8.58260 4.95516i −0.356989 0.206108i
\(579\) 8.08952 + 26.8122i 0.336189 + 1.11428i
\(580\) 7.31514 + 4.22340i 0.303745 + 0.175367i
\(581\) −20.4451 −0.848207
\(582\) 2.55838 10.8984i 0.106048 0.451753i
\(583\) −4.22194 7.31262i −0.174855 0.302858i
\(584\) −1.85630 + 3.21521i −0.0768143 + 0.133046i
\(585\) −0.993232 15.8835i −0.0410651 0.656701i
\(586\) 3.89138 + 6.74006i 0.160751 + 0.278429i
\(587\) −28.3116 −1.16855 −0.584273 0.811557i \(-0.698620\pi\)
−0.584273 + 0.811557i \(0.698620\pi\)
\(588\) −0.444079 + 0.472716i −0.0183135 + 0.0194945i
\(589\) 2.31817 1.82166i 0.0955187 0.0750603i
\(590\) 12.0650i 0.496709i
\(591\) 10.2208 10.8799i 0.420426 0.447538i
\(592\) 0.580888 0.335376i 0.0238744 0.0137839i
\(593\) 26.2219i 1.07680i −0.842689 0.538401i \(-0.819028\pi\)
0.842689 0.538401i \(-0.180972\pi\)
\(594\) −9.28484 25.0099i −0.380961 1.02617i
\(595\) −11.5638 + 6.67636i −0.474070 + 0.273704i
\(596\) 20.8920 12.0620i 0.855771 0.494080i
\(597\) 7.16975 + 6.73541i 0.293438 + 0.275662i
\(598\) 8.04526 13.9348i 0.328995 0.569836i
\(599\) 29.8917 + 17.2580i 1.22134 + 0.705141i 0.965204 0.261500i \(-0.0842171\pi\)
0.256136 + 0.966641i \(0.417550\pi\)
\(600\) 1.65822 0.500302i 0.0676966 0.0204247i
\(601\) −23.6671 + 13.6642i −0.965403 + 0.557375i −0.897832 0.440339i \(-0.854858\pi\)
−0.0675710 + 0.997714i \(0.521525\pi\)
\(602\) −9.94437 + 17.2241i −0.405302 + 0.702004i
\(603\) 19.9132 13.2194i 0.810928 0.538334i
\(604\) 16.5788i 0.674581i
\(605\) 15.3594i 0.624447i
\(606\) 14.9816 + 3.51691i 0.608586 + 0.142865i
\(607\) 11.0332 19.1100i 0.447822 0.775651i −0.550422 0.834887i \(-0.685533\pi\)
0.998244 + 0.0592358i \(0.0188664\pi\)
\(608\) 0.458584 0.264764i 0.0185980 0.0107376i
\(609\) −10.8776 36.0533i −0.440784 1.46095i
\(610\) −6.11655 3.53139i −0.247652 0.142982i
\(611\) 17.9106 31.0221i 0.724585 1.25502i
\(612\) −0.971266 15.5322i −0.0392611 0.627852i
\(613\) 24.3755 14.0732i 0.984517 0.568411i 0.0808859 0.996723i \(-0.474225\pi\)
0.903631 + 0.428312i \(0.140892\pi\)
\(614\) 9.90659 5.71957i 0.399797 0.230823i
\(615\) −5.69279 18.8684i −0.229556 0.760848i
\(616\) 13.2153i 0.532461i
\(617\) 24.9200 14.3875i 1.00324 0.579221i 0.0940345 0.995569i \(-0.470024\pi\)
0.909205 + 0.416348i \(0.136690\pi\)
\(618\) −13.2814 12.4768i −0.534256 0.501891i
\(619\) 14.4354i 0.580208i −0.956995 0.290104i \(-0.906310\pi\)
0.956995 0.290104i \(-0.0936899\pi\)
\(620\) −2.07122 + 5.16818i −0.0831820 + 0.207559i
\(621\) −12.1382 10.0533i −0.487090 0.403425i
\(622\) −7.22744 −0.289794
\(623\) 19.1642 + 33.1933i 0.767796 + 1.32986i
\(624\) 6.69674 + 6.29106i 0.268084 + 0.251844i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 6.50334 + 11.2641i 0.259926 + 0.450205i
\(627\) 4.58425 + 1.07615i 0.183077 + 0.0429772i
\(628\) −14.6508 −0.584631
\(629\) 3.01337 + 1.73977i 0.120151 + 0.0693691i
\(630\) −6.91541 3.43612i −0.275517 0.136898i
\(631\) 18.2779 + 10.5528i 0.727633 + 0.420099i 0.817556 0.575850i \(-0.195329\pi\)
−0.0899227 + 0.995949i \(0.528662\pi\)
\(632\) −5.05381 8.75345i −0.201030 0.348194i
\(633\) 0.695981 + 2.30679i 0.0276628 + 0.0916866i
\(634\) 11.3812 + 19.7129i 0.452006 + 0.782898i
\(635\) −15.5915 −0.618729
\(636\) 1.95041 2.07619i 0.0773390 0.0823262i
\(637\) 1.72033 0.993232i 0.0681619 0.0393533i
\(638\) −37.5569 21.6835i −1.48689 0.858458i
\(639\) −16.1957 24.3966i −0.640690 0.965114i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −13.7198 + 23.7633i −0.541898 + 0.938594i 0.456898 + 0.889519i \(0.348961\pi\)
−0.998795 + 0.0490748i \(0.984373\pi\)
\(642\) 6.47576 + 21.4635i 0.255578 + 0.847098i
\(643\) 34.0135i 1.34136i 0.741747 + 0.670680i \(0.233998\pi\)
−0.741747 + 0.670680i \(0.766002\pi\)
\(644\) −3.90372 6.76144i −0.153828 0.266438i
\(645\) 13.0289 + 3.05853i 0.513014 + 0.120429i
\(646\) 2.37891 + 1.37347i 0.0935971 + 0.0540383i
\(647\) −12.8461 −0.505031 −0.252516 0.967593i \(-0.581258\pi\)
−0.252516 + 0.967593i \(0.581258\pi\)
\(648\) 7.17291 5.43593i 0.281779 0.213544i
\(649\) 61.9435i 2.43149i
\(650\) −5.30484 −0.208073
\(651\) 22.5063 10.4710i 0.882092 0.410389i
\(652\) −22.4774 −0.880281
\(653\) 0.0217666i 0.000851794i −1.00000 0.000425897i \(-0.999864\pi\)
1.00000 0.000425897i \(-0.000135567\pi\)
\(654\) 0.534925 2.27871i 0.0209172 0.0891047i
\(655\) 18.9450 0.740244
\(656\) 9.85425 + 5.68936i 0.384744 + 0.222132i
\(657\) −6.16004 9.27927i −0.240326 0.362019i
\(658\) −8.69058 15.0525i −0.338794 0.586808i
\(659\) 42.3998i 1.65166i −0.563917 0.825832i \(-0.690706\pi\)
0.563917 0.825832i \(-0.309294\pi\)
\(660\) −8.51353 + 2.56862i −0.331389 + 0.0999834i
\(661\) 3.57820 6.19762i 0.139176 0.241059i −0.788009 0.615664i \(-0.788888\pi\)
0.927185 + 0.374604i \(0.122221\pi\)
\(662\) −2.45387 + 4.25023i −0.0953724 + 0.165190i
\(663\) −10.8930 + 46.4028i −0.423049 + 1.80213i
\(664\) −6.87875 3.97145i −0.266947 0.154122i
\(665\) 1.18040 0.681505i 0.0457740 0.0264276i
\(666\) 0.125586 + 2.00833i 0.00486635 + 0.0778213i
\(667\) −25.6207 −0.992036
\(668\) −8.21327 14.2258i −0.317781 0.550413i
\(669\) 22.1559 6.68466i 0.856597 0.258444i
\(670\) −3.98360 6.89980i −0.153900 0.266563i
\(671\) 31.4032 + 18.1307i 1.21231 + 0.699926i
\(672\) 4.26828 1.28778i 0.164653 0.0496773i
\(673\) −15.4883 8.94220i −0.597032 0.344696i 0.170841 0.985299i \(-0.445351\pi\)
−0.767873 + 0.640602i \(0.778685\pi\)
\(674\) −27.0752 −1.04290
\(675\) −0.869482 + 5.12289i −0.0334664 + 0.197180i
\(676\) −7.57064 13.1127i −0.291179 0.504336i
\(677\) 16.7056 28.9349i 0.642048 1.11206i −0.342927 0.939362i \(-0.611418\pi\)
0.984975 0.172698i \(-0.0552483\pi\)
\(678\) 5.59018 5.95067i 0.214690 0.228534i
\(679\) 8.31822 + 14.4076i 0.319224 + 0.552912i
\(680\) −5.18752 −0.198932
\(681\) −19.6179 18.4295i −0.751759 0.706218i
\(682\) 10.6339 26.5341i 0.407193 1.01604i
\(683\) 19.4433i 0.743979i −0.928237 0.371990i \(-0.878676\pi\)
0.928237 0.371990i \(-0.121324\pi\)
\(684\) 0.0991442 + 1.58549i 0.00379087 + 0.0606226i
\(685\) −5.17720 + 2.98906i −0.197811 + 0.114206i
\(686\) 18.9820i 0.724734i
\(687\) 24.1386 7.28285i 0.920944 0.277858i
\(688\) −6.69156 + 3.86337i −0.255113 + 0.147290i
\(689\) −7.55575 + 4.36231i −0.287851 + 0.166191i
\(690\) −3.59708 + 3.82904i −0.136939 + 0.145769i
\(691\) −10.6087 + 18.3747i −0.403572 + 0.699007i −0.994154 0.107970i \(-0.965565\pi\)
0.590582 + 0.806978i \(0.298898\pi\)
\(692\) −2.51861 1.45412i −0.0957430 0.0552772i
\(693\) 35.5047 + 17.6415i 1.34871 + 0.670146i
\(694\) 17.7512 10.2487i 0.673827 0.389034i
\(695\) −10.3001 + 17.8402i −0.390704 + 0.676718i
\(696\) 3.34355 14.2431i 0.126737 0.539883i
\(697\) 59.0273i 2.23582i
\(698\) 20.0539i 0.759053i
\(699\) 1.14644 4.88367i 0.0433622 0.184718i
\(700\) −1.28701 + 2.22916i −0.0486443 + 0.0842543i
\(701\) −28.4019 + 16.3979i −1.07273 + 0.619338i −0.928925 0.370268i \(-0.879266\pi\)
−0.143801 + 0.989607i \(0.545932\pi\)
\(702\) −25.8414 + 9.59354i −0.975321 + 0.362085i
\(703\) −0.307596 0.177591i −0.0116012 0.00669796i
\(704\) 2.56707 4.44629i 0.0967500 0.167576i
\(705\) −8.00793 + 8.52432i −0.301596 + 0.321045i
\(706\) −7.28255 + 4.20458i −0.274082 + 0.158242i
\(707\) −19.8056 + 11.4347i −0.744865 + 0.430048i
\(708\) 20.0065 6.03616i 0.751890 0.226853i
\(709\) 49.3472i 1.85327i −0.375960 0.926636i \(-0.622687\pi\)
0.375960 0.926636i \(-0.377313\pi\)
\(710\) −8.45327 + 4.88050i −0.317245 + 0.183162i
\(711\) 30.2637 1.89246i 1.13498 0.0709729i
\(712\) 14.8905i 0.558045i
\(713\) −2.39732 16.7170i −0.0897802 0.626057i
\(714\) 16.8563 + 15.8351i 0.630831 + 0.592615i
\(715\) 27.2358 1.01856
\(716\) −2.85826 4.95065i −0.106818 0.185015i
\(717\) 6.50937 6.92913i 0.243097 0.258773i
\(718\) 12.7070 22.0093i 0.474223 0.821378i
\(719\) −3.77117 6.53187i −0.140641 0.243598i 0.787097 0.616829i \(-0.211583\pi\)
−0.927738 + 0.373232i \(0.878250\pi\)
\(720\) −1.65922 2.49940i −0.0618356 0.0931470i
\(721\) 27.0809 1.00854
\(722\) 16.2116 + 9.35980i 0.603335 + 0.348336i
\(723\) −8.83535 + 2.66571i −0.328590 + 0.0991389i
\(724\) 13.2525 + 7.65134i 0.492525 + 0.284360i
\(725\) 4.22340 + 7.31514i 0.156853 + 0.271677i
\(726\) 25.4692 7.68432i 0.945251 0.285192i
\(727\) 20.0826 + 34.7841i 0.744822 + 1.29007i 0.950278 + 0.311403i \(0.100799\pi\)
−0.205456 + 0.978666i \(0.565868\pi\)
\(728\) −13.6547 −0.506077
\(729\) 5.02899 + 26.5275i 0.186259 + 0.982501i
\(730\) −3.21521 + 1.85630i −0.119000 + 0.0687048i
\(731\) −34.7126 20.0413i −1.28389 0.741255i
\(732\) −2.79571 + 11.9094i −0.103332 + 0.440183i
\(733\) 7.73727 13.4013i 0.285783 0.494990i −0.687016 0.726642i \(-0.741080\pi\)
0.972799 + 0.231652i \(0.0744132\pi\)
\(734\) −8.65053 + 14.9832i −0.319297 + 0.553038i
\(735\) −0.620942 + 0.187344i −0.0229038 + 0.00691031i
\(736\) 3.03318i 0.111805i
\(737\) 20.4524 + 35.4245i 0.753372 + 1.30488i
\(738\) −28.4399 + 18.8798i −1.04689 + 0.694976i
\(739\) 20.8170 + 12.0187i 0.765767 + 0.442116i 0.831362 0.555731i \(-0.187561\pi\)
−0.0655955 + 0.997846i \(0.520895\pi\)
\(740\) 0.670752 0.0246573
\(741\) 1.11193 4.73667i 0.0408477 0.174006i
\(742\) 4.23336i 0.155412i
\(743\) −16.5869 −0.608516 −0.304258 0.952590i \(-0.598409\pi\)
−0.304258 + 0.952590i \(0.598409\pi\)
\(744\) 9.60622 + 0.848884i 0.352181 + 0.0311216i
\(745\) 24.1241 0.883837
\(746\) 14.4940i 0.530663i
\(747\) 19.8525 13.1790i 0.726363 0.482196i
\(748\) 26.6334 0.973814
\(749\) −28.8536 16.6586i −1.05429 0.608693i
\(750\) 1.68621 + 0.395836i 0.0615718 + 0.0144539i
\(751\) −15.3278 26.5485i −0.559318 0.968768i −0.997553 0.0699074i \(-0.977730\pi\)
0.438235 0.898860i \(-0.355604\pi\)
\(752\) 6.75256i 0.246240i
\(753\) −0.393174 1.30315i −0.0143281 0.0474895i
\(754\) −22.4044 + 38.8056i −0.815921 + 1.41322i
\(755\) 8.28939 14.3576i 0.301682 0.522528i
\(756\) −2.23806 + 13.1864i −0.0813974 + 0.479584i
\(757\) 15.7629 + 9.10072i 0.572913 + 0.330771i 0.758312 0.651892i \(-0.226024\pi\)
−0.185399 + 0.982663i \(0.559358\pi\)
\(758\) 17.1608 9.90778i 0.623308 0.359867i
\(759\) 18.4679 19.6588i 0.670343 0.713570i
\(760\) 0.529528 0.0192080
\(761\) 18.2034 + 31.5292i 0.659873 + 1.14293i 0.980648 + 0.195778i \(0.0627232\pi\)
−0.320775 + 0.947155i \(0.603943\pi\)
\(762\) 7.80045 + 25.8541i 0.282581 + 0.936596i
\(763\) 1.73923 + 3.01244i 0.0629645 + 0.109058i
\(764\) 4.31841 + 2.49324i 0.156235 + 0.0902022i
\(765\) 6.92496 13.9369i 0.250373 0.503891i
\(766\) 3.42236 + 1.97590i 0.123655 + 0.0713922i
\(767\) −64.0030 −2.31101
\(768\) 1.68621 + 0.395836i 0.0608460 + 0.0142835i
\(769\) 15.0861 + 26.1298i 0.544017 + 0.942265i 0.998668 + 0.0515956i \(0.0164307\pi\)
−0.454651 + 0.890670i \(0.650236\pi\)
\(770\) 6.60766 11.4448i 0.238124 0.412442i
\(771\) 15.2232 + 14.3010i 0.548251 + 0.515038i
\(772\) −8.08463 14.0030i −0.290972 0.503979i
\(773\) 14.9673 0.538336 0.269168 0.963093i \(-0.413251\pi\)
0.269168 + 0.963093i \(0.413251\pi\)
\(774\) −1.44669 23.1350i −0.0520002 0.831572i
\(775\) −4.37781 + 3.44017i −0.157256 + 0.123574i
\(776\) 6.46323i