Properties

Label 930.2.o.e.161.7
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 161.7
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.17

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(0.500302 - 1.65822i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.65822 - 0.500302i) q^{6} +(-1.28701 - 2.22916i) q^{7} +1.00000i q^{8} +(-2.49940 - 1.65922i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(0.500302 - 1.65822i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-1.65822 - 0.500302i) q^{6} +(-1.28701 - 2.22916i) q^{7} +1.00000i q^{8} +(-2.49940 - 1.65922i) q^{9} +(0.500000 - 0.866025i) q^{10} +(2.56707 - 4.44629i) q^{11} +(-0.500302 + 1.65822i) 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} +(-1.65922 + 2.49940i) q^{18} +(-0.264764 - 0.458584i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(-4.34033 + 1.01889i) q^{21} +(-4.44629 - 2.56707i) q^{22} +3.03318 q^{23} +(1.65822 + 0.500302i) 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} +(2.49940 + 1.65922i) 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} +(1.01889 + 4.34033i) q^{42} +(-6.69156 + 3.86337i) q^{43} +(-2.56707 + 4.44629i) q^{44} +(-1.33493 - 2.68663i) q^{45} -3.03318i q^{46} +6.75256i q^{47} +(0.500302 - 1.65822i) q^{48} +(0.187231 - 0.324294i) q^{49} +(0.866025 - 0.500000i) q^{50} +(-8.74726 + 2.05341i) 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} +(-0.892896 + 0.209606i) 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} +(1.51751 - 5.02968i) q^{69} -2.57401 q^{70} +(8.45327 + 4.88050i) q^{71} +(1.65922 - 2.49940i) q^{72} +(-3.21521 - 1.85630i) q^{73} +(-0.335376 - 0.580888i) q^{74} +(1.68621 - 0.395836i) 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} +(3.49396 + 8.29411i) q^{81} +(-5.68936 + 9.85425i) q^{82} +(-3.97145 + 6.87875i) q^{83} +(4.34033 - 1.01889i) q^{84} -5.18752i q^{85} +(3.86337 + 6.69156i) q^{86} +(-4.22595 + 14.0067i) q^{87} +(4.44629 + 2.56707i) q^{88} +14.8905 q^{89} +(-2.68663 + 1.33493i) q^{90} -13.6547i q^{91} -3.03318 q^{92} +(9.53451 + 1.44676i) q^{93} +6.75256 q^{94} -0.529528i q^{95} +(-1.65822 - 0.500302i) q^{96} -6.46323 q^{97} +(-0.324294 - 0.187231i) q^{98} +(-13.7935 + 6.85371i) 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
\(3\) 0.500302 1.65822i 0.288850 0.957375i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) −1.65822 0.500302i −0.676966 0.204247i
\(7\) −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
\(9\) −2.49940 1.65922i −0.833132 0.553074i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 2.56707 4.44629i 0.774000 1.34061i −0.161355 0.986897i \(-0.551586\pi\)
0.935355 0.353711i \(-0.115080\pi\)
\(12\) −0.500302 + 1.65822i −0.144425 + 0.478687i
\(13\) 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 \(-0.950099\pi\)
0.358658 0.933469i \(-0.383234\pi\)
\(18\) −1.65922 + 2.49940i −0.391083 + 0.589113i
\(19\) −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
\(21\) −4.34033 + 1.01889i −0.947138 + 0.222339i
\(22\) −4.44629 2.56707i −0.947953 0.547301i
\(23\) 3.03318 0.632462 0.316231 0.948682i \(-0.397583\pi\)
0.316231 + 0.948682i \(0.397583\pi\)
\(24\) 1.65822 + 0.500302i 0.338483 + 0.102124i
\(25\) 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 \(-0.786960\pi\)
−0.784265 + 0.620426i \(0.786960\pi\)
\(30\) −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
\(36\) 2.49940 + 1.65922i 0.416566 + 0.276537i
\(37\) 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 \(-0.985062\pi\)
−0.540077 0.841616i \(-0.681605\pi\)
\(42\) 1.01889 + 4.34033i 0.157218 + 0.669728i
\(43\) −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
\(45\) −1.33493 2.68663i −0.198999 0.400499i
\(46\) 3.03318i 0.447218i
\(47\) 6.75256i 0.984961i 0.870323 + 0.492481i \(0.163910\pi\)
−0.870323 + 0.492481i \(0.836090\pi\)
\(48\) 0.500302 1.65822i 0.0722124 0.239344i
\(49\) 0.187231 0.324294i 0.0267473 0.0463278i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) −8.74726 + 2.05341i −1.22486 + 0.287535i
\(52\) −4.59412 2.65242i −0.637090 0.367824i
\(53\) 0.822328 1.42431i 0.112955 0.195644i −0.804005 0.594622i \(-0.797302\pi\)
0.916961 + 0.398978i \(0.130635\pi\)
\(54\) 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
\(57\) −0.892896 + 0.209606i −0.118267 + 0.0277630i
\(58\) 8.44680i 1.10912i
\(59\) 10.4486 6.03251i 1.36029 0.785366i 0.370632 0.928780i \(-0.379141\pi\)
0.989663 + 0.143414i \(0.0458079\pi\)
\(60\) −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
\(69\) 1.51751 5.02968i 0.182686 0.605503i
\(70\) −2.57401 −0.307653
\(71\) 8.45327 + 4.88050i 1.00322 + 0.579208i 0.909199 0.416362i \(-0.136695\pi\)
0.0940192 + 0.995570i \(0.470028\pi\)
\(72\) 1.65922 2.49940i 0.195541 0.294557i
\(73\) −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
\(75\) 1.68621 0.395836i 0.194707 0.0457072i
\(76\) 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
\(81\) 3.49396 + 8.29411i 0.388218 + 0.921568i
\(82\) −5.68936 + 9.85425i −0.628284 + 1.08822i
\(83\) −3.97145 + 6.87875i −0.435923 + 0.755041i −0.997371 0.0724712i \(-0.976911\pi\)
0.561447 + 0.827513i \(0.310245\pi\)
\(84\) 4.34033 1.01889i 0.473569 0.111170i
\(85\) 5.18752i 0.562665i
\(86\) 3.86337 + 6.69156i 0.416598 + 0.721569i
\(87\) −4.22595 + 14.0067i −0.453069 + 1.50167i
\(88\) 4.44629 + 2.56707i 0.473976 + 0.273650i
\(89\) 14.8905 1.57839 0.789195 0.614143i \(-0.210498\pi\)
0.789195 + 0.614143i \(0.210498\pi\)
\(90\) −2.68663 + 1.33493i −0.283195 + 0.140714i
\(91\) 13.6547i 1.43140i
\(92\) −3.03318 −0.316231
\(93\) 9.53451 + 1.44676i 0.988683 + 0.150022i
\(94\) 6.75256 0.696473
\(95\) 0.529528i 0.0543284i
\(96\) −1.65822 0.500302i −0.169242 0.0510619i
\(97\) −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
\(99\) −13.7935 + 6.85371i −1.38630 + 0.688823i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 8.88476i 0.884067i 0.896999 + 0.442034i \(0.145743\pi\)
−0.896999 + 0.442034i \(0.854257\pi\)
\(102\) 2.05341 + 8.74726i 0.203318 + 0.866107i
\(103\) −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
\(105\) −4.26828 1.28778i −0.416542 0.125675i
\(106\) −1.42431 0.822328i −0.138342 0.0798715i
\(107\) −11.2096 + 6.47185i −1.08367 + 0.625657i −0.931884 0.362756i \(-0.881836\pi\)
−0.151786 + 0.988413i \(0.548503\pi\)
\(108\) 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
\(111\) −0.265508 1.13103i −0.0252009 0.107353i
\(112\) −1.28701 2.22916i −0.121611 0.210636i
\(113\) 4.08230 + 2.35692i 0.384030 + 0.221720i 0.679570 0.733610i \(-0.262166\pi\)
−0.295540 + 0.955330i \(0.595500\pi\)
\(114\) 0.209606 + 0.892896i 0.0196314 + 0.0836274i
\(115\) 2.62681 + 1.51659i 0.244951 + 0.141423i
\(116\) 8.44680 0.784265
\(117\) −7.08158 14.2521i −0.654692 1.31761i
\(118\) −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
\(129\) 3.05853 + 13.0289i 0.269288 + 1.14713i
\(130\) 4.59412 2.65242i 0.402931 0.232632i
\(131\) 16.4069 9.47252i 1.43348 0.827618i 0.436093 0.899902i \(-0.356362\pi\)
0.997384 + 0.0722837i \(0.0230287\pi\)
\(132\) 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
\(135\) −5.12289 + 0.869482i −0.440908 + 0.0748331i
\(136\) 4.49252 2.59376i 0.385231 0.222413i
\(137\) −2.98906 + 5.17720i −0.255373 + 0.442318i −0.964997 0.262262i \(-0.915531\pi\)
0.709624 + 0.704580i \(0.248865\pi\)
\(138\) −5.02968 1.51751i −0.428155 0.129179i
\(139\) 20.6001i 1.74728i −0.486573 0.873640i \(-0.661753\pi\)
0.486573 0.873640i \(-0.338247\pi\)
\(140\) 2.57401i 0.217544i
\(141\) 11.1972 + 3.37832i 0.942977 + 0.284506i
\(142\) 4.88050 8.45327i 0.409562 0.709382i
\(143\) 23.5869 13.6179i 1.97243 1.13878i
\(144\) −2.49940 1.65922i −0.208283 0.138269i
\(145\) −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 \(-0.215698\pi\)
0.932486 0.361206i \(-0.117635\pi\)
\(150\) −0.395836 1.68621i −0.0323199 0.137679i
\(151\) 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
\(162\) 8.29411 3.49396i 0.651647 0.274511i
\(163\) 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
\(165\) −2.03228 8.65725i −0.158213 0.673966i
\(166\) 6.87875 + 3.97145i 0.533895 + 0.308244i
\(167\) −8.21327 14.2258i −0.635562 1.10083i −0.986396 0.164388i \(-0.947435\pi\)
0.350833 0.936438i \(-0.385898\pi\)
\(168\) −1.01889 4.34033i −0.0786089 0.334864i
\(169\) 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 0.401192 0.915994i \(-0.368596\pi\)
−0.592678 + 0.805439i \(0.701929\pi\)
\(174\) 14.0067 + 4.22595i 1.06184 + 0.320368i
\(175\) 1.28701 2.22916i 0.0972885 0.168509i
\(176\) 2.56707 4.44629i 0.193500 0.335152i
\(177\) −4.77578 20.3442i −0.358969 1.52916i
\(178\) 14.8905i 1.11609i
\(179\) −2.85826 4.95065i −0.213637 0.370029i 0.739213 0.673471i \(-0.235197\pi\)
−0.952850 + 0.303442i \(0.901864\pi\)
\(180\) 1.33493 + 2.68663i 0.0994997 + 0.200249i
\(181\) −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
\(183\) −11.7117 3.53353i −0.865751 0.261206i
\(184\) 3.03318i 0.223609i
\(185\) 0.670752 0.0493146
\(186\) 1.44676 9.53451i 0.106081 0.699104i
\(187\) −26.6334 −1.94763
\(188\) 6.75256i 0.492481i
\(189\) 12.5388 + 4.65498i 0.912061 + 0.338600i
\(190\) −0.529528 −0.0384160
\(191\) 4.31841 + 2.49324i 0.312470 + 0.180404i 0.648031 0.761614i \(-0.275593\pi\)
−0.335562 + 0.942018i \(0.608926\pi\)
\(192\) −0.500302 + 1.65822i −0.0361062 + 0.119672i
\(193\) 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
\(195\) 8.94508 2.09985i 0.640571 0.150373i
\(196\) −0.187231 + 0.324294i −0.0133737 + 0.0231639i
\(197\) −4.30925 + 7.46384i −0.307021 + 0.531777i −0.977709 0.209963i \(-0.932666\pi\)
0.670688 + 0.741740i \(0.265999\pi\)
\(198\) 6.85371 + 13.7935i 0.487072 + 0.980262i
\(199\) 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
\(204\) 8.74726 2.05341i 0.612430 0.143767i
\(205\) −5.68936 9.85425i −0.397362 0.688251i
\(206\) 9.11135 + 5.26044i 0.634818 + 0.366512i
\(207\) −7.58112 5.03272i −0.526924 0.349798i
\(208\) 4.59412 + 2.65242i 0.318545 + 0.183912i
\(209\) −2.71867 −0.188054
\(210\) −1.28778 + 4.26828i −0.0888655 + 0.294539i
\(211\) 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
\(222\) −1.13103 + 0.265508i −0.0759098 + 0.0178197i
\(223\) 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 0.875008 0.484109i \(-0.160856\pi\)
0.0182532 + 0.999833i \(0.494190\pi\)
\(228\) 0.892896 0.209606i 0.0591335 0.0138815i
\(229\) 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
\(231\) −6.61166 + 21.9139i −0.435015 + 1.44183i
\(232\) 8.44680i 0.554559i
\(233\) 2.89624i 0.189739i 0.995490 + 0.0948694i \(0.0302434\pi\)
−0.995490 + 0.0948694i \(0.969757\pi\)
\(234\) −14.2521 + 7.08158i −0.931690 + 0.462937i
\(235\) −3.37628 + 5.84788i −0.220244 + 0.381474i
\(236\) −10.4486 + 6.03251i −0.680147 + 0.392683i
\(237\) −4.00096 17.0436i −0.259890 1.10710i
\(238\) 11.5638 + 6.67636i 0.749570 + 0.432764i
\(239\) −2.74446 + 4.75354i −0.177524 + 0.307481i −0.941032 0.338318i \(-0.890142\pi\)
0.763508 + 0.645799i \(0.223476\pi\)
\(240\) 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
\(243\) 15.5015 1.64420i 0.994422 0.105475i
\(244\) 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 0.878160 0.478367i \(-0.158771\pi\)
−0.853358 + 0.521325i \(0.825438\pi\)
\(252\) 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
\(255\) −8.60205 2.59533i −0.538681 0.162526i
\(256\) 1.00000 0.0625000
\(257\) −10.4435 6.02954i −0.651446 0.376113i 0.137564 0.990493i \(-0.456073\pi\)
−0.789010 + 0.614380i \(0.789406\pi\)
\(258\) 13.0289 3.05853i 0.811146 0.190416i
\(259\) −1.49521 0.863261i −0.0929080 0.0536405i
\(260\) −2.65242 4.59412i −0.164496 0.284915i
\(261\) 21.1119 + 14.0151i 1.30679 + 0.867514i
\(262\) −9.47252 16.4069i −0.585214 1.01362i
\(263\) −2.04756 −0.126258 −0.0631291 0.998005i \(-0.520108\pi\)
−0.0631291 + 0.998005i \(0.520108\pi\)
\(264\) 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
\(267\) 7.44975 24.6917i 0.455917 1.51111i
\(268\) −3.98360 + 6.89980i −0.243337 + 0.421473i
\(269\) −13.5077 + 23.3961i −0.823581 + 1.42648i 0.0794184 + 0.996841i \(0.474694\pi\)
−0.902999 + 0.429642i \(0.858640\pi\)
\(270\) 0.869482 + 5.12289i 0.0529150 + 0.311769i
\(271\) 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
\(273\) −22.6425 6.83148i −1.37039 0.413460i
\(274\) 5.17720 + 2.98906i 0.312766 + 0.180576i
\(275\) 5.13414 0.309600
\(276\) −1.51751 + 5.02968i −0.0913431 + 0.302751i
\(277\) 16.5427i 0.993955i −0.867763 0.496978i \(-0.834443\pi\)
0.867763 0.496978i \(-0.165557\pi\)
\(278\) −20.6001 −1.23551
\(279\) 7.16918 15.0865i 0.429208 0.903206i
\(280\) 2.57401 0.153827
\(281\) 1.55339i 0.0926672i 0.998926 + 0.0463336i \(0.0147537\pi\)
−0.998926 + 0.0463336i \(0.985246\pi\)
\(282\) 3.37832 11.1972i 0.201176 0.666785i
\(283\) −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
\(285\) −0.878074 0.264924i −0.0520126 0.0156927i
\(286\) −13.6179 23.5869i −0.805242 1.39472i
\(287\) 29.2889i 1.72887i
\(288\) −1.65922 + 2.49940i −0.0977707 + 0.147278i
\(289\) −4.95516 + 8.58260i −0.291480 + 0.504859i
\(290\) −4.22340 + 7.31514i −0.248006 + 0.429560i
\(291\) −3.23357 + 10.7175i −0.189555 + 0.628269i
\(292\) 3.21521 + 1.85630i 0.188156 + 0.108632i
\(293\) −6.74006 + 3.89138i −0.393759 + 0.227337i −0.683787 0.729681i \(-0.739668\pi\)
0.290029 + 0.957018i \(0.406335\pi\)
\(294\) −0.472716 + 0.444079i −0.0275694 + 0.0258992i
\(295\) 12.0650 0.702453
\(296\) 0.335376 + 0.580888i 0.0194933 + 0.0337634i
\(297\) 4.46404 + 26.3016i 0.259030 + 1.52617i
\(298\) −12.0620 20.8920i −0.698734 1.21024i
\(299\) 13.9348 + 8.04526i 0.805870 + 0.465270i
\(300\) −1.68621 + 0.395836i −0.0973535 + 0.0228536i
\(301\) 17.2241 + 9.94437i 0.992783 + 0.573184i
\(302\) 16.5788 0.954002
\(303\) 14.7329 + 4.44507i 0.846383 + 0.255362i
\(304\) −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 \(-0.934308\pi\)
0.978780 0.204915i \(-0.0656919\pi\)
\(312\) 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
\(315\) −4.27086 + 6.43347i −0.240636 + 0.362485i
\(316\) −8.75345 + 5.05381i −0.492420 + 0.284299i
\(317\) −19.7129 + 11.3812i −1.10718 + 0.639233i −0.938099 0.346368i \(-0.887415\pi\)
−0.169086 + 0.985601i \(0.554082\pi\)
\(318\) −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
\(321\) 5.12359 + 21.8258i 0.285971 + 1.21820i
\(322\) −6.76144 + 3.90372i −0.376801 + 0.217546i
\(323\) −1.37347 + 2.37891i −0.0764217 + 0.132366i
\(324\) −3.49396 8.29411i −0.194109 0.460784i
\(325\) 5.30484i 0.294259i
\(326\) 22.4774i 1.24491i
\(327\) −0.676098 + 2.24089i −0.0373883 + 0.123921i
\(328\) 5.68936 9.85425i 0.314142 0.544110i
\(329\) 15.0525 8.69058i 0.829873 0.479127i
\(330\) −8.65725 + 2.03228i −0.476566 + 0.111873i
\(331\) 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
\(336\) −4.34033 + 1.01889i −0.236785 + 0.0555849i
\(337\) 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 \(0.0187733\pi\)
−0.448084 + 0.893992i \(0.647893\pi\)
\(348\) 4.22595 14.0067i 0.226535 0.750836i
\(349\) −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
\(351\) −27.1761 + 4.61246i −1.45055 + 0.246195i
\(352\) −4.44629 2.56707i −0.236988 0.136825i
\(353\) −4.20458 7.28255i −0.223787 0.387611i 0.732168 0.681125i \(-0.238509\pi\)
−0.955955 + 0.293513i \(0.905175\pi\)
\(354\) −20.3442 + 4.77578i −1.08128 + 0.253830i
\(355\) 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 0.951688 0.307067i \(-0.0993476\pi\)
0.209916 + 0.977719i \(0.432681\pi\)
\(360\) 2.68663 1.33493i 0.141598 0.0703569i
\(361\) 9.35980 16.2116i 0.492621 0.853245i
\(362\) −7.65134 + 13.2525i −0.402145 + 0.696536i
\(363\) −25.8991 + 6.07979i −1.35935 + 0.319106i
\(364\) 13.6547i 0.715701i
\(365\) −1.85630 3.21521i −0.0971633 0.168292i
\(366\) −3.53353 + 11.7117i −0.184700 + 0.612178i
\(367\) 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
\(369\) 15.1898 + 30.5704i 0.790748 + 1.59143i
\(370\) 0.670752i 0.0348707i
\(371\) −4.23336 −0.219785
\(372\) −9.53451 1.44676i −0.494341 0.0750109i
\(373\) −14.4940 −0.750471 −0.375236 0.926929i \(-0.622438\pi\)
−0.375236 + 0.926929i \(0.622438\pi\)
\(374\) 26.6334i 1.37718i
\(375\) 1.65822 + 0.500302i 0.0856302 + 0.0258355i
\(376\) −6.75256 −0.348236
\(377\) −38.8056 22.4044i −1.99859 1.15389i
\(378\) 4.65498 12.5388i 0.239426 0.644925i
\(379\) −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
\(381\) −6.17168 26.2906i −0.316185 1.34691i
\(382\) 2.49324 4.31841i 0.127565 0.220949i
\(383\) −1.97590 + 3.42236i −0.100964 + 0.174874i −0.912082 0.410008i \(-0.865526\pi\)
0.811118 + 0.584882i \(0.198859\pi\)
\(384\) 1.65822 + 0.500302i 0.0846208 + 0.0255309i
\(385\) −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 0.507170 0.861846i \(-0.330692\pi\)
−0.999966 + 0.00829898i \(0.997358\pi\)
\(390\) −2.09985 8.94508i −0.106330 0.452952i
\(391\) −7.86734 13.6266i −0.397868 0.689128i
\(392\) 0.324294 + 0.187231i 0.0163793 + 0.00945661i
\(393\) −7.49914 31.9454i −0.378281 1.61143i
\(394\) 7.46384 + 4.30925i 0.376023 + 0.217097i
\(395\) 10.1076 0.508569
\(396\) 13.7935 6.85371i 0.693150 0.344412i
\(397\) 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 \(-0.328981\pi\)
0.511793 + 0.859109i \(0.328981\pi\)
\(402\) −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
\(408\) −2.05341 8.74726i −0.101659 0.433054i
\(409\) 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
\(414\) −5.03272 + 7.58112i −0.247345 + 0.372592i
\(415\) −6.87875 + 3.97145i −0.337665 + 0.194951i
\(416\) 2.65242 4.59412i 0.130045 0.225245i
\(417\) −34.1596 10.3063i −1.67280 0.504701i
\(418\) 2.71867i 0.132974i
\(419\) 17.8444i 0.871754i −0.900006 0.435877i \(-0.856438\pi\)
0.900006 0.435877i \(-0.143562\pi\)
\(420\) 4.26828 + 1.28778i 0.208271 + 0.0628374i
\(421\) −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
\(423\) 11.2040 16.8773i 0.544757 0.820603i
\(424\) 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
\(429\) −10.7809 45.9253i −0.520507 2.21729i
\(430\) 7.72674i 0.372617i
\(431\) −10.7198 + 6.18908i −0.516354 + 0.298117i −0.735442 0.677588i \(-0.763025\pi\)
0.219087 + 0.975705i \(0.429692\pi\)
\(432\) −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
\(441\) −1.00604 + 0.499881i −0.0479068 + 0.0238039i
\(442\) −27.5189 −1.30894
\(443\) −20.9565 12.0992i −0.995671 0.574851i −0.0887065 0.996058i \(-0.528273\pi\)
−0.906965 + 0.421207i \(0.861607\pi\)
\(444\) 0.265508 + 1.13103i 0.0126004 + 0.0536763i
\(445\) 12.8955 + 7.44525i 0.611308 + 0.352939i
\(446\) −6.68062 11.5712i −0.316337 0.547911i
\(447\) −9.54918 40.6783i −0.451661 1.92402i
\(448\) 1.28701 + 2.22916i 0.0608053 + 0.105318i
\(449\) 32.2944 1.52406 0.762032 0.647539i \(-0.224202\pi\)
0.762032 + 0.647539i \(0.224202\pi\)
\(450\) −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
\(453\) 27.4913 + 8.29440i 1.29165 + 0.389705i
\(454\) 7.77017 13.4583i 0.364672 0.631631i
\(455\) 6.82736 11.8253i 0.320071 0.554380i
\(456\) −0.209606 0.892896i −0.00981571 0.0418137i
\(457\) 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
\(459\) 25.2699 + 9.38137i 1.17950 + 0.437885i
\(460\) −2.62681 1.51659i −0.122476 0.0707114i
\(461\) 12.8115 0.596691 0.298345 0.954458i \(-0.403565\pi\)
0.298345 + 0.954458i \(0.403565\pi\)
\(462\) 21.9139 + 6.61166i 1.01953 + 0.307602i
\(463\) 20.6891i 0.961503i 0.876857 + 0.480751i \(0.159636\pi\)
−0.876857 + 0.480751i \(0.840364\pi\)
\(464\) −8.44680 −0.392133
\(465\) 7.53375 + 6.02018i 0.349369 + 0.279179i
\(466\) 2.89624 0.134166
\(467\) 23.8528i 1.10378i 0.833918 + 0.551889i \(0.186093\pi\)
−0.833918 + 0.551889i \(0.813907\pi\)
\(468\) 7.08158 + 14.2521i 0.327346 + 0.658804i
\(469\) −20.5077 −0.946957
\(470\) 5.84788 + 3.37628i 0.269743 + 0.155736i
\(471\) 7.32983 24.2943i 0.337741 1.11942i
\(472\) 6.03251 + 10.4486i 0.277669 + 0.480937i
\(473\) 39.6702i 1.82404i
\(474\) −17.0436 + 4.00096i −0.782838 + 0.183770i
\(475\) 0.264764 0.458584i 0.0121482 0.0210413i
\(476\) 6.67636 11.5638i 0.306011 0.530026i
\(477\) −4.41858 + 2.19550i −0.202313 + 0.100525i
\(478\) 4.75354 + 2.74446i 0.217422 + 0.125529i
\(479\) −2.62035 + 1.51286i −0.119727 + 0.0691243i −0.558667 0.829392i \(-0.688687\pi\)
0.438941 + 0.898516i \(0.355354\pi\)
\(480\) −1.18591 1.26238i −0.0541292 0.0576197i
\(481\) 3.55823 0.162241
\(482\) 2.66410 + 4.61436i 0.121347 + 0.210178i
\(483\) −13.1650 + 3.09047i −0.599029 + 0.140621i
\(484\) 7.67968 + 13.3016i 0.349076 + 0.604618i
\(485\) −5.59732 3.23162i −0.254161 0.146740i
\(486\) −1.64420 15.5015i −0.0745822 0.703162i
\(487\) −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
\(489\) 11.2455 37.2724i 0.508538 1.68552i
\(490\) −0.187231 0.324294i −0.00845825 0.0146501i
\(491\) −12.7244 + 22.0394i −0.574245 + 0.994622i 0.421878 + 0.906653i \(0.361371\pi\)
−0.996123 + 0.0879695i \(0.971962\pi\)
\(492\) 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
\(501\) −27.6987 + 6.50223i −1.23748 + 0.290498i
\(502\) 0.680586 0.392937i 0.0303760 0.0175376i
\(503\) 12.4153 7.16797i 0.553570 0.319604i −0.196991 0.980405i \(-0.563117\pi\)
0.750561 + 0.660802i \(0.229784\pi\)
\(504\) −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
\(507\) 25.5314 5.99347i 1.13389 0.266179i
\(508\) −13.5026 + 7.79574i −0.599082 + 0.345880i
\(509\) −17.7292 + 30.7078i −0.785832 + 1.36110i 0.142668 + 0.989771i \(0.454432\pi\)
−0.928501 + 0.371331i \(0.878902\pi\)
\(510\) −2.59533 + 8.60205i −0.114923 + 0.380905i
\(511\) 9.55629i 0.422745i
\(512\) 1.00000i 0.0441942i
\(513\) 2.57948 + 0.957625i 0.113887 + 0.0422802i
\(514\) −6.02954 + 10.4435i −0.265952 + 0.460642i
\(515\) −9.11135 + 5.26044i −0.401494 + 0.231803i
\(516\) −3.05853 13.0289i −0.134644 0.573567i
\(517\) 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 −0.766445 0.642310i \(-0.777976\pi\)
0.173035 + 0.984916i \(0.444643\pi\)
\(522\) 14.0151 21.1119i 0.613425 0.924042i
\(523\) 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
\(534\) −24.6917 7.44975i −1.06852 0.322382i
\(535\) −12.9437 −0.559605
\(536\) 6.89980 + 3.98360i 0.298026 + 0.172065i
\(537\) −9.63928 + 2.26281i −0.415965 + 0.0976474i
\(538\) 23.3961 + 13.5077i 1.00868 + 0.582360i
\(539\) −0.961271 1.66497i −0.0414049 0.0717154i
\(540\) 5.12289 0.869482i 0.220454 0.0374166i
\(541\) −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
\(546\) −6.83148 + 22.6425i −0.292360 + 0.969011i
\(547\) −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
\(549\) −11.7187 + 17.6527i −0.500144 + 0.753399i
\(550\) 5.13414i 0.218920i
\(551\) 2.23641 + 3.87357i 0.0952741 + 0.165020i
\(552\) 5.02968 + 1.51751i 0.214078 + 0.0645894i
\(553\) −22.5315 13.0086i −0.958137 0.553180i
\(554\) −16.5427 −0.702833
\(555\) 0.335578 1.11225i 0.0142445 0.0472126i
\(556\) 20.6001i 0.873640i
\(557\) 23.6372 1.00154 0.500770 0.865580i \(-0.333050\pi\)
0.500770 + 0.865580i \(0.333050\pi\)
\(558\) −15.0865 7.16918i −0.638663 0.303496i
\(559\) −40.9891 −1.73365
\(560\) 2.57401i 0.108772i
\(561\) −13.3248 + 44.1641i −0.562572 + 1.86461i
\(562\) 1.55339 0.0655256
\(563\) 9.05588 + 5.22841i 0.381660 + 0.220351i 0.678540 0.734563i \(-0.262613\pi\)
−0.296880 + 0.954915i \(0.595946\pi\)
\(564\) −11.1972 3.37832i −0.471488 0.142253i
\(565\) 2.35692 + 4.08230i 0.0991562 + 0.171744i
\(566\) 3.03122i 0.127412i
\(567\) 13.9922 18.4632i 0.587615 0.775380i
\(568\) −4.88050 + 8.45327i −0.204781 + 0.354691i
\(569\) −5.12252 + 8.87246i −0.214747 + 0.371953i −0.953194 0.302358i \(-0.902226\pi\)
0.738447 + 0.674311i \(0.235559\pi\)
\(570\) −0.264924 + 0.878074i −0.0110964 + 0.0367785i
\(571\) 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
\(576\) 2.49940 + 1.65922i 0.104141 + 0.0691343i
\(577\) −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
\(579\) 27.2648 6.40038i 1.13309 0.265991i
\(580\) 7.31514 + 4.22340i 0.303745 + 0.175367i
\(581\) 20.4451 0.848207
\(582\) 10.7175 + 3.23357i 0.444253 + 0.134036i
\(583\) −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 \(-0.301380\pi\)
0.584273 + 0.811557i \(0.301380\pi\)
\(588\) 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 \(0.180972\pi\)
−0.842689 + 0.538401i \(0.819028\pi\)
\(594\) 26.3016 4.46404i 1.07917 0.183162i
\(595\) −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 −0.256136 0.966641i \(-0.582450\pi\)
−0.965204 + 0.261500i \(0.915783\pi\)
\(600\) 0.395836 + 1.68621i 0.0161600 + 0.0688393i
\(601\) −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
\(603\) −21.4049 + 10.6357i −0.871675 + 0.433117i
\(604\) 16.5788i 0.674581i
\(605\) 15.3594i 0.624447i
\(606\) 4.44507 14.7329i 0.180568 0.598483i
\(607\) 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
\(609\) 36.6619 8.60633i 1.48561 0.348746i
\(610\) −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
\(615\) −19.1869 + 4.50411i −0.773692 + 0.181623i
\(616\) 13.2153i 0.532461i
\(617\) −24.9200 + 14.3875i −1.00324 + 0.579221i −0.909205 0.416348i \(-0.863310\pi\)
−0.0940345 + 0.995569i \(0.529976\pi\)
\(618\) 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
\(627\) −1.36015 + 4.50815i −0.0543193 + 0.180038i
\(628\) −14.6508 −0.584631
\(629\) −3.01337 1.73977i −0.120151 0.0693691i
\(630\) 6.43347 + 4.27086i 0.256316 + 0.170155i
\(631\) 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
\(633\) 2.34573 0.550657i 0.0932343 0.0218866i
\(634\) 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
\(639\) −13.0302 26.2241i −0.515468 1.03741i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 13.7198 23.7633i 0.541898 0.938594i −0.456898 0.889519i \(-0.651039\pi\)
0.998795 0.0490748i \(-0.0156273\pi\)
\(642\) 21.8258 5.12359i 0.861397 0.202212i
\(643\) 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
\(645\) −3.86571 + 12.8127i −0.152212 + 0.504498i
\(646\) 2.37891 + 1.37347i 0.0935971 + 0.0540383i
\(647\) 12.8461 0.505031 0.252516 0.967593i \(-0.418742\pi\)
0.252516 + 0.967593i \(0.418742\pi\)
\(648\) −8.29411 + 3.49396i −0.325823 + 0.137256i
\(649\) 61.9435i 2.43149i
\(650\) 5.30484 0.208073
\(651\) −9.04592 23.1159i −0.354537 0.905985i
\(652\) −22.4774 −0.880281
\(653\) 0.0217666i 0.000851794i 1.00000 0.000425897i \(0.000135567\pi\)
−1.00000 0.000425897i \(0.999864\pi\)
\(654\) 2.24089 + 0.676098i 0.0876256 + 0.0264375i
\(655\) 18.9450 0.740244
\(656\) −9.85425 5.68936i −0.384744 0.222132i
\(657\) 4.95606 + 9.97438i 0.193354 + 0.389138i
\(658\) −8.69058 15.0525i −0.338794 0.586808i
\(659\) 42.3998i 1.65166i 0.563917 + 0.825832i \(0.309294\pi\)
−0.563917 + 0.825832i \(0.690706\pi\)
\(660\) 2.03228 + 8.65725i 0.0791063 + 0.336983i
\(661\) 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
\(663\) −45.6325 13.7678i −1.77222 0.534696i
\(664\) −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
\(669\) −5.28887 22.5299i −0.204479 0.871056i
\(670\) −3.98360 6.89980i −0.153900 0.266563i
\(671\) −31.4032 18.1307i −1.21231 0.699926i
\(672\) 1.01889 + 4.34033i 0.0393044 + 0.167432i
\(673\) −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
\(675\) −4.87129 1.80845i −0.187496 0.0696073i
\(676\) −7.57064 13.1127i −0.291179 0.504336i
\(677\) −16.7056 + 28.9349i −0.642048 + 1.11206i 0.342927 + 0.939362i \(0.388582\pi\)
−0.984975 + 0.172698i \(0.944752\pi\)
\(678\) −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 \(0.121324\pi\)
−0.928237 + 0.371990i \(0.878676\pi\)
\(684\) 0.0991442 1.58549i 0.00379087 0.0606226i
\(685\) −5.17720 + 2.98906i −0.197811 + 0.114206i
\(686\) 18.9820i 0.724734i
\(687\) −5.76215 24.5460i −0.219840 0.936489i
\(688\) −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
\(693\) 33.0303 + 21.9272i 1.25472 + 0.832945i
\(694\) 17.7512 10.2487i 0.673827 0.389034i
\(695\) 10.3001 17.8402i 0.390704 0.676718i
\(696\) −14.0067 4.22595i −0.530921 0.160184i
\(697\) 59.0273i 2.23582i
\(698\) 20.0539i 0.759053i
\(699\) 4.80260 + 1.44899i 0.181651 + 0.0548060i
\(700\) −1.28701 + 2.22916i −0.0486443 + 0.0842543i
\(701\) 28.4019 16.3979i 1.07273 0.619338i 0.143801 0.989607i \(-0.454068\pi\)
0.928925 + 0.370268i \(0.120734\pi\)
\(702\) 4.61246 + 27.1761i 0.174086 + 1.02570i
\(703\) −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
\(708\) 4.77578 + 20.3442i 0.179485 + 0.764582i
\(709\) 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 0.927738 0.373232i \(-0.121750\pi\)
−0.787097 + 0.616829i \(0.788417\pi\)
\(720\) −1.33493 2.68663i −0.0497499 0.100125i
\(721\) 27.0809 1.00854
\(722\) −16.2116 9.35980i −0.603335 0.348336i
\(723\) 2.10910 + 8.98449i 0.0784382 + 0.334137i
\(724\) 13.2525 + 7.65134i 0.492525 + 0.284360i
\(725\) −4.22340 7.31514i −0.156853 0.271677i
\(726\) 6.07979 + 25.8991i 0.225642 + 0.961207i
\(727\) 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
\(732\) 11.7117 + 3.53353i 0.432875 + 0.130603i
\(733\) 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
\(735\) −0.148226 0.631424i −0.00546740 0.0232904i
\(736\) 3.03318i 0.111805i
\(737\) −20.4524 35.4245i −0.753372 1.30488i
\(738\) 30.5704 15.1898i 1.12531 0.559143i
\(739\) 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
\(741\) −4.65804 1.40538i −0.171117 0.0516278i
\(742\) 4.23336i 0.155412i
\(743\) 16.5869 0.608516 0.304258 0.952590i \(-0.401591\pi\)
0.304258 + 0.952590i \(0.401591\pi\)
\(744\) −1.44676 + 9.53451i −0.0530407 + 0.349552i
\(745\) 24.1241 0.883837
\(746\) 14.4940i 0.530663i
\(747\) 21.3396 10.6032i 0.780776 0.387951i
\(748\) 26.6334 0.973814
\(749\) 28.8536 + 16.6586i 1.05429 + 0.608693i
\(750\) 0.500302 1.65822i 0.0182684 0.0605497i
\(751\) −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
\(753\) 1.32515 0.311077i 0.0482911 0.0113363i
\(754\) −22.4044 + 38.8056i −0.815921 + 1.41322i
\(755\) −8.28939 + 14.3576i −0.301682 + 0.522528i
\(756\) −12.5388 4.65498i −0.456031 0.169300i
\(757\) 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 \(-0.937277\pi\)
0.320775 0.947155i \(-0.396057\pi\)
\(762\) −26.2906 + 6.17168i −0.952406 + 0.223576i
\(763\) 1.73923 + 3.01244i 0.0629645 + 0.109058i
\(764\) −4.31841 2.49324i −0.156235 0.0902022i
\(765\) −8.60725 + 12.9657i −0.311196 + 0.468774i
\(766\) 3.42236 + 1.97590i 0.123655 + 0.0713922i
\(767\) 64.0030 2.31101
\(768\) 0.500302 1.65822i 0.0180531 0.0598359i
\(769\) 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 \(-0.586749\pi\)
−0.269168 + 0.963093i \(0.586749\pi\)
\(774\) 1.44669 23.1350i 0.0520002 0.831572i
\(775\) −4.37781 + 3.44017i −0.157256 + 0.123574i
\(776\) 6.46323i 0.232016i