Properties

Label 300.2.r.a.59.11
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 59.11
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19645 + 0.753994i) q^{2} +(-0.269355 - 1.71098i) q^{3} +(0.862987 - 1.80423i) q^{4} +(-1.27460 - 1.83722i) q^{5} +(1.61234 + 1.84401i) q^{6} +4.55385 q^{7} +(0.327858 + 2.80936i) q^{8} +(-2.85490 + 0.921722i) q^{9} +O(q^{10})\) \(q+(-1.19645 + 0.753994i) q^{2} +(-0.269355 - 1.71098i) q^{3} +(0.862987 - 1.80423i) q^{4} +(-1.27460 - 1.83722i) q^{5} +(1.61234 + 1.84401i) q^{6} +4.55385 q^{7} +(0.327858 + 2.80936i) q^{8} +(-2.85490 + 0.921722i) q^{9} +(2.91025 + 1.23711i) q^{10} +(0.933681 + 0.678359i) q^{11} +(-3.31945 - 0.990573i) q^{12} +(-1.88353 - 2.59245i) q^{13} +(-5.44846 + 3.43358i) q^{14} +(-2.80013 + 2.67568i) q^{15} +(-2.51051 - 3.11406i) q^{16} +(1.86218 - 5.73119i) q^{17} +(2.72077 - 3.25537i) q^{18} +(-5.10616 - 1.65909i) q^{19} +(-4.41474 + 0.714172i) q^{20} +(-1.22660 - 7.79154i) q^{21} +(-1.62858 - 0.107633i) q^{22} +(1.32736 - 1.82695i) q^{23} +(4.71845 - 1.31767i) q^{24} +(-1.75079 + 4.68345i) q^{25} +(4.20824 + 1.68157i) q^{26} +(2.34603 + 4.63639i) q^{27} +(3.92992 - 8.21621i) q^{28} +(-5.12583 + 1.66548i) q^{29} +(1.33277 - 5.31260i) q^{30} +(0.0716621 + 0.0232844i) q^{31} +(5.35168 + 1.83291i) q^{32} +(0.909165 - 1.78023i) q^{33} +(2.09328 + 8.26115i) q^{34} +(-5.80434 - 8.36645i) q^{35} +(-0.800737 + 5.94633i) q^{36} +(0.124395 + 0.171215i) q^{37} +(7.36021 - 1.86499i) q^{38} +(-3.92829 + 3.92096i) q^{39} +(4.74354 - 4.18316i) q^{40} +(-0.709308 - 0.976279i) q^{41} +(7.34235 + 8.39734i) q^{42} +2.44269 q^{43} +(2.02967 - 1.09916i) q^{44} +(5.33226 + 4.07026i) q^{45} +(-0.210608 + 3.18667i) q^{46} +(4.66180 - 1.51471i) q^{47} +(-4.65187 + 5.13421i) q^{48} +13.7376 q^{49} +(-1.43656 - 6.92360i) q^{50} +(-10.3075 - 1.64242i) q^{51} +(-6.30284 + 1.16107i) q^{52} +(-2.83313 - 8.71946i) q^{53} +(-6.30272 - 3.77833i) q^{54} +(0.0562285 - 2.58002i) q^{55} +(1.49302 + 12.7934i) q^{56} +(-1.46330 + 9.18341i) q^{57} +(4.87704 - 5.85751i) q^{58} +(-0.913575 + 0.663751i) q^{59} +(2.41107 + 7.36117i) q^{60} +(2.75747 + 2.00342i) q^{61} +(-0.103296 + 0.0261741i) q^{62} +(-13.0008 + 4.19739i) q^{63} +(-7.78502 + 1.84214i) q^{64} +(-2.36218 + 6.76480i) q^{65} +(0.254509 + 2.81546i) q^{66} +(-0.333847 + 1.02748i) q^{67} +(-8.73336 - 8.30574i) q^{68} +(-3.48340 - 1.77898i) q^{69} +(13.2529 + 5.63361i) q^{70} +(3.48321 + 10.7202i) q^{71} +(-3.52545 - 7.71824i) q^{72} +(-1.69232 + 2.32928i) q^{73} +(-0.277927 - 0.111057i) q^{74} +(8.48487 + 1.73405i) q^{75} +(-7.39994 + 7.78092i) q^{76} +(4.25184 + 3.08915i) q^{77} +(1.74362 - 7.65315i) q^{78} +(2.26670 - 0.736495i) q^{79} +(-2.52133 + 8.58154i) q^{80} +(7.30086 - 5.26284i) q^{81} +(1.58476 + 0.633256i) q^{82} +(16.1707 + 5.25416i) q^{83} +(-15.1163 - 4.51092i) q^{84} +(-12.9030 + 3.88374i) q^{85} +(-2.92256 + 1.84178i) q^{86} +(4.23027 + 8.32158i) q^{87} +(-1.59964 + 2.84545i) q^{88} +(7.86895 - 10.8307i) q^{89} +(-9.44873 - 0.849372i) q^{90} +(-8.57730 - 11.8056i) q^{91} +(-2.15075 - 3.97149i) q^{92} +(0.0205366 - 0.128884i) q^{93} +(-4.43553 + 5.32724i) q^{94} +(3.46018 + 11.4958i) q^{95} +(1.69457 - 9.65031i) q^{96} +(5.51850 - 1.79307i) q^{97} +(-16.4363 + 10.3580i) q^{98} +(-3.29082 - 1.07605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19645 + 0.753994i −0.846018 + 0.533154i
\(3\) −0.269355 1.71098i −0.155512 0.987834i
\(4\) 0.862987 1.80423i 0.431494 0.902116i
\(5\) −1.27460 1.83722i −0.570018 0.821632i
\(6\) 1.61234 + 1.84401i 0.658234 + 0.752813i
\(7\) 4.55385 1.72119 0.860597 0.509286i \(-0.170091\pi\)
0.860597 + 0.509286i \(0.170091\pi\)
\(8\) 0.327858 + 2.80936i 0.115915 + 0.993259i
\(9\) −2.85490 + 0.921722i −0.951632 + 0.307241i
\(10\) 2.91025 + 1.23711i 0.920302 + 0.391208i
\(11\) 0.933681 + 0.678359i 0.281515 + 0.204533i 0.719578 0.694412i \(-0.244335\pi\)
−0.438063 + 0.898944i \(0.644335\pi\)
\(12\) −3.31945 0.990573i −0.958243 0.285954i
\(13\) −1.88353 2.59245i −0.522396 0.719017i 0.463552 0.886070i \(-0.346575\pi\)
−0.985948 + 0.167053i \(0.946575\pi\)
\(14\) −5.44846 + 3.43358i −1.45616 + 0.917662i
\(15\) −2.80013 + 2.67568i −0.722991 + 0.690857i
\(16\) −2.51051 3.11406i −0.627627 0.778514i
\(17\) 1.86218 5.73119i 0.451644 1.39002i −0.423386 0.905949i \(-0.639159\pi\)
0.875030 0.484068i \(-0.160841\pi\)
\(18\) 2.72077 3.25537i 0.641291 0.767298i
\(19\) −5.10616 1.65909i −1.17143 0.380622i −0.342256 0.939607i \(-0.611191\pi\)
−0.829178 + 0.558985i \(0.811191\pi\)
\(20\) −4.41474 + 0.714172i −0.987167 + 0.159694i
\(21\) −1.22660 7.79154i −0.267667 1.70025i
\(22\) −1.62858 0.107633i −0.347215 0.0229475i
\(23\) 1.32736 1.82695i 0.276773 0.380945i −0.647889 0.761735i \(-0.724348\pi\)
0.924662 + 0.380790i \(0.124348\pi\)
\(24\) 4.71845 1.31767i 0.963149 0.268969i
\(25\) −1.75079 + 4.68345i −0.350158 + 0.936691i
\(26\) 4.20824 + 1.68157i 0.825304 + 0.329784i
\(27\) 2.34603 + 4.63639i 0.451493 + 0.892275i
\(28\) 3.92992 8.21621i 0.742684 1.55272i
\(29\) −5.12583 + 1.66548i −0.951842 + 0.309272i −0.743464 0.668776i \(-0.766819\pi\)
−0.208378 + 0.978048i \(0.566819\pi\)
\(30\) 1.33277 5.31260i 0.243330 0.969944i
\(31\) 0.0716621 + 0.0232844i 0.0128709 + 0.00418201i 0.315445 0.948944i \(-0.397846\pi\)
−0.302574 + 0.953126i \(0.597846\pi\)
\(32\) 5.35168 + 1.83291i 0.946052 + 0.324016i
\(33\) 0.909165 1.78023i 0.158265 0.309898i
\(34\) 2.09328 + 8.26115i 0.358994 + 1.41678i
\(35\) −5.80434 8.36645i −0.981112 1.41419i
\(36\) −0.800737 + 5.94633i −0.133456 + 0.991055i
\(37\) 0.124395 + 0.171215i 0.0204504 + 0.0281475i 0.819120 0.573623i \(-0.194462\pi\)
−0.798669 + 0.601770i \(0.794462\pi\)
\(38\) 7.36021 1.86499i 1.19398 0.302541i
\(39\) −3.92829 + 3.92096i −0.629030 + 0.627857i
\(40\) 4.74354 4.18316i 0.750020 0.661416i
\(41\) −0.709308 0.976279i −0.110775 0.152469i 0.750029 0.661404i \(-0.230039\pi\)
−0.860805 + 0.508935i \(0.830039\pi\)
\(42\) 7.34235 + 8.39734i 1.13295 + 1.29574i
\(43\) 2.44269 0.372507 0.186254 0.982502i \(-0.440365\pi\)
0.186254 + 0.982502i \(0.440365\pi\)
\(44\) 2.02967 1.09916i 0.305984 0.165705i
\(45\) 5.33226 + 4.07026i 0.794886 + 0.606758i
\(46\) −0.210608 + 3.18667i −0.0310524 + 0.469849i
\(47\) 4.66180 1.51471i 0.679993 0.220943i 0.0514005 0.998678i \(-0.483631\pi\)
0.628592 + 0.777735i \(0.283631\pi\)
\(48\) −4.65187 + 5.13421i −0.671439 + 0.741060i
\(49\) 13.7376 1.96251
\(50\) −1.43656 6.92360i −0.203160 0.979146i
\(51\) −10.3075 1.64242i −1.44334 0.229985i
\(52\) −6.30284 + 1.16107i −0.874047 + 0.161011i
\(53\) −2.83313 8.71946i −0.389160 1.19771i −0.933417 0.358792i \(-0.883189\pi\)
0.544258 0.838918i \(-0.316811\pi\)
\(54\) −6.30272 3.77833i −0.857691 0.514165i
\(55\) 0.0562285 2.58002i 0.00758185 0.347889i
\(56\) 1.49302 + 12.7934i 0.199513 + 1.70959i
\(57\) −1.46330 + 9.18341i −0.193819 + 1.21637i
\(58\) 4.87704 5.85751i 0.640386 0.769129i
\(59\) −0.913575 + 0.663751i −0.118937 + 0.0864130i −0.645664 0.763622i \(-0.723419\pi\)
0.526726 + 0.850035i \(0.323419\pi\)
\(60\) 2.41107 + 7.36117i 0.311267 + 0.950322i
\(61\) 2.75747 + 2.00342i 0.353058 + 0.256512i 0.750151 0.661267i \(-0.229981\pi\)
−0.397093 + 0.917779i \(0.629981\pi\)
\(62\) −0.103296 + 0.0261741i −0.0131187 + 0.00332412i
\(63\) −13.0008 + 4.19739i −1.63794 + 0.528821i
\(64\) −7.78502 + 1.84214i −0.973127 + 0.230268i
\(65\) −2.36218 + 6.76480i −0.292992 + 0.839070i
\(66\) 0.254509 + 2.81546i 0.0313279 + 0.346559i
\(67\) −0.333847 + 1.02748i −0.0407860 + 0.125526i −0.969376 0.245580i \(-0.921022\pi\)
0.928590 + 0.371107i \(0.121022\pi\)
\(68\) −8.73336 8.30574i −1.05908 1.00722i
\(69\) −3.48340 1.77898i −0.419352 0.214164i
\(70\) 13.2529 + 5.63361i 1.58402 + 0.673345i
\(71\) 3.48321 + 10.7202i 0.413381 + 1.27226i 0.913691 + 0.406410i \(0.133220\pi\)
−0.500309 + 0.865847i \(0.666780\pi\)
\(72\) −3.52545 7.71824i −0.415478 0.909603i
\(73\) −1.69232 + 2.32928i −0.198071 + 0.272622i −0.896486 0.443071i \(-0.853889\pi\)
0.698415 + 0.715693i \(0.253889\pi\)
\(74\) −0.277927 0.111057i −0.0323084 0.0129101i
\(75\) 8.48487 + 1.73405i 0.979749 + 0.200231i
\(76\) −7.39994 + 7.78092i −0.848831 + 0.892533i
\(77\) 4.25184 + 3.08915i 0.484543 + 0.352041i
\(78\) 1.74362 7.65315i 0.197427 0.866548i
\(79\) 2.26670 0.736495i 0.255024 0.0828622i −0.178715 0.983901i \(-0.557194\pi\)
0.433739 + 0.901039i \(0.357194\pi\)
\(80\) −2.52133 + 8.58154i −0.281894 + 0.959446i
\(81\) 7.30086 5.26284i 0.811206 0.584760i
\(82\) 1.58476 + 0.633256i 0.175008 + 0.0699314i
\(83\) 16.1707 + 5.25416i 1.77496 + 0.576719i 0.998566 0.0535289i \(-0.0170469\pi\)
0.776394 + 0.630248i \(0.217047\pi\)
\(84\) −15.1163 4.51092i −1.64932 0.492182i
\(85\) −12.9030 + 3.88374i −1.39953 + 0.421250i
\(86\) −2.92256 + 1.84178i −0.315148 + 0.198604i
\(87\) 4.23027 + 8.32158i 0.453533 + 0.892167i
\(88\) −1.59964 + 2.84545i −0.170522 + 0.303326i
\(89\) 7.86895 10.8307i 0.834107 1.14805i −0.153038 0.988220i \(-0.548906\pi\)
0.987145 0.159830i \(-0.0510945\pi\)
\(90\) −9.44873 0.849372i −0.995984 0.0895317i
\(91\) −8.57730 11.8056i −0.899146 1.23757i
\(92\) −2.15075 3.97149i −0.224231 0.414057i
\(93\) 0.0205366 0.128884i 0.00212955 0.0133647i
\(94\) −4.43553 + 5.32724i −0.457490 + 0.549463i
\(95\) 3.46018 + 11.4958i 0.355007 + 1.17945i
\(96\) 1.69457 9.65031i 0.172951 0.984930i
\(97\) 5.51850 1.79307i 0.560318 0.182058i −0.0151461 0.999885i \(-0.504821\pi\)
0.575464 + 0.817827i \(0.304821\pi\)
\(98\) −16.4363 + 10.3580i −1.66032 + 1.04632i
\(99\) −3.29082 1.07605i −0.330740 0.108147i
\(100\) 6.93913 + 7.20059i 0.693913 + 0.720059i
\(101\) 13.5605i 1.34932i 0.738127 + 0.674662i \(0.235711\pi\)
−0.738127 + 0.674662i \(0.764289\pi\)
\(102\) 13.5708 5.80674i 1.34371 0.574953i
\(103\) 4.23913 + 13.0467i 0.417694 + 1.28553i 0.909819 + 0.415005i \(0.136220\pi\)
−0.492126 + 0.870524i \(0.663780\pi\)
\(104\) 6.66560 6.14146i 0.653616 0.602220i
\(105\) −12.7514 + 12.1846i −1.24441 + 1.18910i
\(106\) 9.96411 + 8.29625i 0.967800 + 0.805803i
\(107\) 5.23345i 0.505936i −0.967475 0.252968i \(-0.918593\pi\)
0.967475 0.252968i \(-0.0814068\pi\)
\(108\) 10.3897 0.231631i 0.999752 0.0222887i
\(109\) 6.23650 4.53108i 0.597348 0.433999i −0.247588 0.968865i \(-0.579638\pi\)
0.844937 + 0.534866i \(0.179638\pi\)
\(110\) 1.87804 + 3.12926i 0.179064 + 0.298363i
\(111\) 0.259438 0.258954i 0.0246248 0.0245789i
\(112\) −11.4325 14.1810i −1.08027 1.33997i
\(113\) −9.18534 + 6.67354i −0.864084 + 0.627794i −0.928993 0.370097i \(-0.879324\pi\)
0.0649089 + 0.997891i \(0.479324\pi\)
\(114\) −5.17347 12.0908i −0.484540 1.13241i
\(115\) −5.04836 0.110023i −0.470762 0.0102597i
\(116\) −1.41861 + 10.6855i −0.131714 + 0.992121i
\(117\) 7.76679 + 5.66509i 0.718040 + 0.523738i
\(118\) 0.592583 1.48297i 0.0545517 0.136519i
\(119\) 8.48008 26.0990i 0.777367 2.39249i
\(120\) −8.43499 6.98934i −0.770006 0.638036i
\(121\) −2.98760 9.19488i −0.271600 0.835898i
\(122\) −4.80975 0.317877i −0.435454 0.0287793i
\(123\) −1.47934 + 1.47658i −0.133387 + 0.133138i
\(124\) 0.103854 0.109201i 0.00932637 0.00980653i
\(125\) 10.8361 2.75293i 0.969212 0.246230i
\(126\) 12.3900 14.8245i 1.10379 1.32067i
\(127\) −0.342483 0.248829i −0.0303905 0.0220800i 0.572486 0.819914i \(-0.305979\pi\)
−0.602877 + 0.797834i \(0.705979\pi\)
\(128\) 7.92542 8.07389i 0.700515 0.713638i
\(129\) −0.657953 4.17940i −0.0579295 0.367975i
\(130\) −2.27439 9.87481i −0.199477 0.866078i
\(131\) 3.80477 11.7099i 0.332424 1.02310i −0.635553 0.772057i \(-0.719228\pi\)
0.967977 0.251039i \(-0.0807721\pi\)
\(132\) −2.42735 3.17666i −0.211273 0.276493i
\(133\) −23.2527 7.55526i −2.01626 0.655124i
\(134\) −0.375279 1.48104i −0.0324192 0.127943i
\(135\) 5.52785 10.2197i 0.475762 0.879574i
\(136\) 16.7115 + 3.35251i 1.43300 + 0.287475i
\(137\) 8.66443 6.29508i 0.740252 0.537825i −0.152538 0.988298i \(-0.548745\pi\)
0.892790 + 0.450473i \(0.148745\pi\)
\(138\) 5.50905 0.498001i 0.468962 0.0423927i
\(139\) 11.6693 16.0614i 0.989779 1.36231i 0.0583879 0.998294i \(-0.481404\pi\)
0.931391 0.364020i \(-0.118596\pi\)
\(140\) −20.1041 + 3.25223i −1.69911 + 0.274864i
\(141\) −3.84731 7.56824i −0.324002 0.637361i
\(142\) −12.2505 10.1999i −1.02804 0.855956i
\(143\) 3.69823i 0.309261i
\(144\) 10.0375 + 6.57632i 0.836461 + 0.548027i
\(145\) 9.59324 + 7.29448i 0.796676 + 0.605773i
\(146\) 0.268516 4.06287i 0.0222225 0.336245i
\(147\) −3.70029 23.5047i −0.305194 1.93863i
\(148\) 0.416262 0.0766809i 0.0342165 0.00630313i
\(149\) 21.4419i 1.75659i 0.478119 + 0.878295i \(0.341319\pi\)
−0.478119 + 0.878295i \(0.658681\pi\)
\(150\) −11.4592 + 4.32283i −0.935639 + 0.352958i
\(151\) 18.0794i 1.47128i 0.677374 + 0.735638i \(0.263118\pi\)
−0.677374 + 0.735638i \(0.736882\pi\)
\(152\) 2.98689 14.8890i 0.242269 1.20766i
\(153\) −0.0337543 + 18.0784i −0.00272887 + 1.46155i
\(154\) −7.41632 0.490146i −0.597624 0.0394971i
\(155\) −0.0485618 0.161338i −0.00390058 0.0129590i
\(156\) 3.68426 + 10.4713i 0.294977 + 0.838374i
\(157\) 15.3020i 1.22124i 0.791925 + 0.610618i \(0.209079\pi\)
−0.791925 + 0.610618i \(0.790921\pi\)
\(158\) −2.15668 + 2.59026i −0.171576 + 0.206070i
\(159\) −14.1557 + 7.19605i −1.12262 + 0.570684i
\(160\) −3.45378 12.1685i −0.273045 0.962001i
\(161\) 6.04458 8.31965i 0.476380 0.655681i
\(162\) −4.76696 + 11.8015i −0.374528 + 0.927216i
\(163\) 9.40331 6.83191i 0.736524 0.535116i −0.155096 0.987899i \(-0.549569\pi\)
0.891621 + 0.452783i \(0.149569\pi\)
\(164\) −2.37356 + 0.437241i −0.185344 + 0.0341427i
\(165\) −4.42950 + 0.598736i −0.344836 + 0.0466115i
\(166\) −23.3090 + 5.90622i −1.80913 + 0.458412i
\(167\) −7.12195 2.31406i −0.551113 0.179067i 0.0202055 0.999796i \(-0.493568\pi\)
−0.571319 + 0.820728i \(0.693568\pi\)
\(168\) 21.4871 6.00050i 1.65777 0.462948i
\(169\) 0.844086 2.59783i 0.0649297 0.199833i
\(170\) 12.5095 14.3755i 0.959435 1.10255i
\(171\) 16.1068 + 0.0300731i 1.23172 + 0.00229975i
\(172\) 2.10801 4.40719i 0.160735 0.336045i
\(173\) −4.41136 3.20504i −0.335389 0.243675i 0.407325 0.913283i \(-0.366462\pi\)
−0.742714 + 0.669609i \(0.766462\pi\)
\(174\) −11.3357 6.76675i −0.859359 0.512986i
\(175\) −7.97284 + 21.3278i −0.602690 + 1.61223i
\(176\) −0.231563 4.61056i −0.0174547 0.347534i
\(177\) 1.38174 + 1.38432i 0.103858 + 0.104052i
\(178\) −1.24854 + 18.8915i −0.0935823 + 1.41598i
\(179\) 5.20279 + 16.0125i 0.388875 + 1.19683i 0.933630 + 0.358238i \(0.116622\pi\)
−0.544756 + 0.838595i \(0.683378\pi\)
\(180\) 11.9454 6.10805i 0.890355 0.455267i
\(181\) 1.93123 5.94372i 0.143547 0.441793i −0.853274 0.521463i \(-0.825387\pi\)
0.996821 + 0.0796697i \(0.0253866\pi\)
\(182\) 19.1637 + 7.65764i 1.42051 + 0.567622i
\(183\) 2.68507 5.25761i 0.198486 0.388654i
\(184\) 5.56774 + 3.13004i 0.410459 + 0.230750i
\(185\) 0.156006 0.446771i 0.0114698 0.0328473i
\(186\) 0.0726068 + 0.169688i 0.00532379 + 0.0124421i
\(187\) 5.62648 4.08788i 0.411449 0.298935i
\(188\) 1.29018 9.71813i 0.0940962 0.708768i
\(189\) 10.6835 + 21.1135i 0.777108 + 1.53578i
\(190\) −12.8077 11.1452i −0.929170 0.808561i
\(191\) −8.77250 + 6.37359i −0.634756 + 0.461177i −0.858044 0.513575i \(-0.828321\pi\)
0.223289 + 0.974752i \(0.428321\pi\)
\(192\) 5.24881 + 12.8238i 0.378800 + 0.925479i
\(193\) 24.3410i 1.75210i −0.482220 0.876050i \(-0.660169\pi\)
0.482220 0.876050i \(-0.339831\pi\)
\(194\) −5.25064 + 6.30623i −0.376974 + 0.452761i
\(195\) 12.2107 + 2.21950i 0.874426 + 0.158941i
\(196\) 11.8553 24.7858i 0.846810 1.77041i
\(197\) 3.07930 + 9.47712i 0.219391 + 0.675217i 0.998813 + 0.0487168i \(0.0155132\pi\)
−0.779421 + 0.626500i \(0.784487\pi\)
\(198\) 4.74864 1.19382i 0.337471 0.0848409i
\(199\) 7.03547i 0.498731i −0.968409 0.249366i \(-0.919778\pi\)
0.968409 0.249366i \(-0.0802221\pi\)
\(200\) −13.7315 3.38310i −0.970965 0.239221i
\(201\) 1.84791 + 0.294450i 0.130342 + 0.0207689i
\(202\) −10.2246 16.2245i −0.719398 1.14155i
\(203\) −23.3423 + 7.58436i −1.63831 + 0.532318i
\(204\) −11.8586 + 17.1798i −0.830266 + 1.20283i
\(205\) −0.889560 + 2.54752i −0.0621296 + 0.177927i
\(206\) −14.9090 12.4134i −1.03876 0.864886i
\(207\) −2.10552 + 6.43920i −0.146344 + 0.447555i
\(208\) −3.34444 + 12.3738i −0.231895 + 0.857967i
\(209\) −3.64206 5.01287i −0.251927 0.346747i
\(210\) 6.06926 24.1928i 0.418819 1.66946i
\(211\) −13.1881 + 18.1518i −0.907904 + 1.24962i 0.0599737 + 0.998200i \(0.480898\pi\)
−0.967877 + 0.251422i \(0.919102\pi\)
\(212\) −18.1769 2.41317i −1.24839 0.165737i
\(213\) 17.4039 8.84725i 1.19249 0.606204i
\(214\) 3.94599 + 6.26156i 0.269742 + 0.428031i
\(215\) −3.11346 4.48778i −0.212336 0.306064i
\(216\) −12.2561 + 8.11092i −0.833925 + 0.551878i
\(217\) 0.326339 + 0.106034i 0.0221533 + 0.00719805i
\(218\) −4.04526 + 10.1235i −0.273979 + 0.685650i
\(219\) 4.44118 + 2.26812i 0.300107 + 0.153265i
\(220\) −4.60643 2.32797i −0.310565 0.156952i
\(221\) −18.3653 + 5.96725i −1.23538 + 0.401400i
\(222\) −0.115155 + 0.505441i −0.00772871 + 0.0339230i
\(223\) −11.0121 8.00076i −0.737425 0.535770i 0.154479 0.987996i \(-0.450630\pi\)
−0.891904 + 0.452226i \(0.850630\pi\)
\(224\) 24.3707 + 8.34680i 1.62834 + 0.557694i
\(225\) 0.681484 14.9845i 0.0454323 0.998967i
\(226\) 5.95800 14.9102i 0.396320 0.991815i
\(227\) −1.47408 + 2.02890i −0.0978381 + 0.134663i −0.855129 0.518415i \(-0.826522\pi\)
0.757291 + 0.653077i \(0.226522\pi\)
\(228\) 15.3062 + 10.5653i 1.01368 + 0.699704i
\(229\) 1.06255 + 3.27019i 0.0702153 + 0.216101i 0.980006 0.198966i \(-0.0637583\pi\)
−0.909791 + 0.415066i \(0.863758\pi\)
\(230\) 6.12307 3.67480i 0.403743 0.242309i
\(231\) 4.14021 8.10689i 0.272406 0.533394i
\(232\) −6.35949 13.8543i −0.417521 0.909577i
\(233\) −5.52382 + 17.0006i −0.361878 + 1.11375i 0.590036 + 0.807377i \(0.299114\pi\)
−0.951913 + 0.306368i \(0.900886\pi\)
\(234\) −13.5640 0.921888i −0.886708 0.0602657i
\(235\) −8.72478 6.63412i −0.569142 0.432762i
\(236\) 0.409157 + 2.22111i 0.0266339 + 0.144582i
\(237\) −1.87068 3.67990i −0.121513 0.239035i
\(238\) 9.53248 + 37.6201i 0.617899 + 2.43855i
\(239\) 5.13868 + 3.73347i 0.332394 + 0.241498i 0.741446 0.671013i \(-0.234141\pi\)
−0.409052 + 0.912511i \(0.634141\pi\)
\(240\) 15.3620 + 2.00247i 0.991611 + 0.129259i
\(241\) −4.48956 + 3.26186i −0.289198 + 0.210115i −0.722919 0.690932i \(-0.757200\pi\)
0.433721 + 0.901047i \(0.357200\pi\)
\(242\) 10.5074 + 8.74859i 0.675441 + 0.562381i
\(243\) −10.9711 11.0740i −0.703798 0.710400i
\(244\) 5.99430 3.24620i 0.383746 0.207816i
\(245\) −17.5099 25.2390i −1.11867 1.61246i
\(246\) 0.656623 2.88206i 0.0418648 0.183754i
\(247\) 5.31647 + 16.3624i 0.338279 + 1.04112i
\(248\) −0.0419194 + 0.208959i −0.00266188 + 0.0132689i
\(249\) 4.63411 29.0829i 0.293675 1.84305i
\(250\) −10.8892 + 11.4641i −0.688692 + 0.725054i
\(251\) 21.4617 1.35465 0.677324 0.735685i \(-0.263140\pi\)
0.677324 + 0.735685i \(0.263140\pi\)
\(252\) −3.64644 + 27.0787i −0.229704 + 1.70580i
\(253\) 2.47865 0.805363i 0.155832 0.0506328i
\(254\) 0.597380 + 0.0394809i 0.0374829 + 0.00247725i
\(255\) 10.1205 + 21.0307i 0.633769 + 1.31699i
\(256\) −3.39471 + 15.6357i −0.212170 + 0.977233i
\(257\) −21.8868 −1.36526 −0.682630 0.730764i \(-0.739164\pi\)
−0.682630 + 0.730764i \(0.739164\pi\)
\(258\) 3.93845 + 4.50435i 0.245197 + 0.280429i
\(259\) 0.566475 + 0.779686i 0.0351991 + 0.0484474i
\(260\) 10.1667 + 10.0998i 0.630515 + 0.626366i
\(261\) 13.0986 9.47937i 0.810782 0.586758i
\(262\) 4.27695 + 16.8790i 0.264231 + 1.04279i
\(263\) −2.80186 3.85643i −0.172770 0.237798i 0.713847 0.700302i \(-0.246951\pi\)
−0.886617 + 0.462504i \(0.846951\pi\)
\(264\) 5.29938 + 1.97051i 0.326154 + 0.121277i
\(265\) −12.4085 + 16.3189i −0.762249 + 1.00246i
\(266\) 33.5173 8.49289i 2.05508 0.520733i
\(267\) −20.6506 10.5463i −1.26380 0.645423i
\(268\) 1.56570 + 1.48904i 0.0956404 + 0.0909575i
\(269\) 2.73090 + 0.887322i 0.166506 + 0.0541010i 0.391084 0.920355i \(-0.372100\pi\)
−0.224578 + 0.974456i \(0.572100\pi\)
\(270\) 1.09181 + 16.3954i 0.0664454 + 0.997790i
\(271\) −11.2222 + 3.64630i −0.681698 + 0.221497i −0.629339 0.777131i \(-0.716674\pi\)
−0.0523593 + 0.998628i \(0.516674\pi\)
\(272\) −22.5223 + 8.58926i −1.36561 + 0.520801i
\(273\) −17.8889 + 17.8555i −1.08268 + 1.08066i
\(274\) −5.62011 + 14.0647i −0.339523 + 0.849678i
\(275\) −4.81174 + 3.18518i −0.290159 + 0.192074i
\(276\) −6.21582 + 4.74963i −0.374148 + 0.285894i
\(277\) −4.07391 + 5.60725i −0.244777 + 0.336907i −0.913674 0.406449i \(-0.866767\pi\)
0.668896 + 0.743356i \(0.266767\pi\)
\(278\) −1.85154 + 28.0153i −0.111048 + 1.68025i
\(279\) −0.226050 0.000422059i −0.0135332 2.52680e-5i
\(280\) 21.6014 19.0495i 1.29093 1.13842i
\(281\) −3.72072 1.20894i −0.221960 0.0721191i 0.195926 0.980619i \(-0.437229\pi\)
−0.417886 + 0.908500i \(0.637229\pi\)
\(282\) 10.3095 + 6.15417i 0.613923 + 0.366475i
\(283\) 2.27731 7.00885i 0.135372 0.416633i −0.860275 0.509830i \(-0.829708\pi\)
0.995648 + 0.0931965i \(0.0297085\pi\)
\(284\) 22.3477 + 2.96689i 1.32609 + 0.176053i
\(285\) 18.7371 9.01677i 1.10989 0.534107i
\(286\) 2.78844 + 4.42475i 0.164884 + 0.261641i
\(287\) −3.23009 4.44583i −0.190666 0.262429i
\(288\) −16.9679 0.300007i −0.999844 0.0176781i
\(289\) −15.6255 11.3526i −0.919150 0.667801i
\(290\) −16.9778 1.49423i −0.996973 0.0877444i
\(291\) −4.55434 8.95906i −0.266980 0.525189i
\(292\) 2.74211 + 5.06348i 0.160470 + 0.296318i
\(293\) 21.9252 1.28089 0.640443 0.768006i \(-0.278751\pi\)
0.640443 + 0.768006i \(0.278751\pi\)
\(294\) 22.1496 + 25.3322i 1.29179 + 1.47740i
\(295\) 2.38390 + 0.832425i 0.138796 + 0.0484657i
\(296\) −0.440220 + 0.405604i −0.0255873 + 0.0235752i
\(297\) −0.954697 + 5.92036i −0.0553972 + 0.343534i
\(298\) −16.1671 25.6542i −0.936533 1.48611i
\(299\) −7.23639 −0.418491
\(300\) 10.4510 13.8122i 0.603387 0.797448i
\(301\) 11.1237 0.641158
\(302\) −13.6317 21.6311i −0.784417 1.24473i
\(303\) 23.2018 3.65260i 1.33291 0.209837i
\(304\) 7.65254 + 20.0660i 0.438903 + 1.15087i
\(305\) 0.166062 7.61966i 0.00950867 0.436301i
\(306\) −13.5906 21.6553i −0.776922 1.23795i
\(307\) 0.379994 0.0216874 0.0108437 0.999941i \(-0.496548\pi\)
0.0108437 + 0.999941i \(0.496548\pi\)
\(308\) 9.24282 5.00542i 0.526659 0.285210i
\(309\) 21.1808 10.7673i 1.20493 0.612527i
\(310\) 0.179749 + 0.156417i 0.0102091 + 0.00888391i
\(311\) 3.10823 + 2.25826i 0.176252 + 0.128054i 0.672413 0.740176i \(-0.265258\pi\)
−0.496162 + 0.868230i \(0.665258\pi\)
\(312\) −12.3033 9.75047i −0.696539 0.552012i
\(313\) 8.45901 + 11.6428i 0.478131 + 0.658091i 0.978144 0.207927i \(-0.0666715\pi\)
−0.500013 + 0.866018i \(0.666671\pi\)
\(314\) −11.5376 18.3081i −0.651107 1.03319i
\(315\) 24.2823 + 18.5354i 1.36815 + 1.04435i
\(316\) 0.627324 4.72524i 0.0352897 0.265815i
\(317\) 8.41477 25.8980i 0.472620 1.45458i −0.376520 0.926408i \(-0.622879\pi\)
0.849140 0.528167i \(-0.177121\pi\)
\(318\) 11.5108 19.2830i 0.645494 1.08134i
\(319\) −5.91568 1.92212i −0.331215 0.107618i
\(320\) 13.3072 + 11.9548i 0.743896 + 0.668295i
\(321\) −8.95431 + 1.40966i −0.499781 + 0.0786793i
\(322\) −0.959077 + 14.5116i −0.0534472 + 0.808702i
\(323\) −19.0171 + 26.1748i −1.05814 + 1.45641i
\(324\) −3.19484 17.7142i −0.177491 0.984122i
\(325\) 15.4393 4.28257i 0.856418 0.237554i
\(326\) −6.09938 + 15.2641i −0.337814 + 0.845399i
\(327\) −9.43242 9.45005i −0.521614 0.522589i
\(328\) 2.51017 2.31278i 0.138601 0.127702i
\(329\) 21.2291 6.89776i 1.17040 0.380286i
\(330\) 4.84823 4.05617i 0.266887 0.223285i
\(331\) −2.64321 0.858831i −0.145284 0.0472056i 0.235472 0.971881i \(-0.424336\pi\)
−0.380756 + 0.924675i \(0.624336\pi\)
\(332\) 23.4348 24.6413i 1.28615 1.35237i
\(333\) −0.512946 0.374143i −0.0281093 0.0205029i
\(334\) 10.2658 2.60125i 0.561722 0.142334i
\(335\) 2.31323 0.696269i 0.126385 0.0380412i
\(336\) −21.1839 + 23.3804i −1.15568 + 1.27551i
\(337\) 10.7862 + 14.8459i 0.587562 + 0.808710i 0.994499 0.104746i \(-0.0334031\pi\)
−0.406937 + 0.913456i \(0.633403\pi\)
\(338\) 0.948840 + 3.74461i 0.0516101 + 0.203680i
\(339\) 13.8924 + 13.9184i 0.754532 + 0.755942i
\(340\) −4.12797 + 26.6316i −0.223871 + 1.44430i
\(341\) 0.0511143 + 0.0703529i 0.00276800 + 0.00380982i
\(342\) −19.2936 + 12.1084i −1.04328 + 0.654748i
\(343\) 30.6819 1.65667
\(344\) 0.800858 + 6.86241i 0.0431793 + 0.369996i
\(345\) 1.17156 + 8.66728i 0.0630744 + 0.466630i
\(346\) 7.69455 + 0.508534i 0.413662 + 0.0273390i
\(347\) −2.10309 + 0.683336i −0.112900 + 0.0366834i −0.364922 0.931038i \(-0.618904\pi\)
0.252022 + 0.967721i \(0.418904\pi\)
\(348\) 18.6647 0.450983i 1.00053 0.0241752i
\(349\) −26.3481 −1.41038 −0.705192 0.709016i \(-0.749139\pi\)
−0.705192 + 0.709016i \(0.749139\pi\)
\(350\) −6.54188 31.5291i −0.349678 1.68530i
\(351\) 7.60082 14.8147i 0.405702 0.790752i
\(352\) 3.75339 + 5.34171i 0.200056 + 0.284714i
\(353\) −3.56495 10.9718i −0.189743 0.583969i 0.810255 0.586078i \(-0.199329\pi\)
−0.999998 + 0.00210880i \(0.999329\pi\)
\(354\) −2.69695 0.614449i −0.143341 0.0326576i
\(355\) 15.2558 20.0634i 0.809692 1.06486i
\(356\) −12.7503 23.5442i −0.675762 1.24784i
\(357\) −46.9390 7.47933i −2.48427 0.395848i
\(358\) −18.2982 15.2353i −0.967091 0.805213i
\(359\) −11.9179 + 8.65889i −0.629005 + 0.456999i −0.856055 0.516884i \(-0.827092\pi\)
0.227050 + 0.973883i \(0.427092\pi\)
\(360\) −9.68660 + 16.3147i −0.510529 + 0.859861i
\(361\) 7.94895 + 5.77525i 0.418366 + 0.303960i
\(362\) 2.17090 + 8.56750i 0.114100 + 0.450298i
\(363\) −14.9275 + 7.58841i −0.783492 + 0.398288i
\(364\) −28.7022 + 5.28733i −1.50441 + 0.277131i
\(365\) 6.43644 + 0.140275i 0.336899 + 0.00734232i
\(366\) 0.751650 + 8.31500i 0.0392894 + 0.434632i
\(367\) −6.42746 + 19.7817i −0.335511 + 1.03260i 0.630959 + 0.775816i \(0.282662\pi\)
−0.966470 + 0.256780i \(0.917338\pi\)
\(368\) −9.02156 + 0.453103i −0.470281 + 0.0236197i
\(369\) 2.92486 + 2.13339i 0.152262 + 0.111060i
\(370\) 0.150209 + 0.652168i 0.00780899 + 0.0339046i
\(371\) −12.9016 39.7071i −0.669819 2.06149i
\(372\) −0.214814 0.148278i −0.0111376 0.00768786i
\(373\) 11.2017 15.4178i 0.580001 0.798302i −0.413695 0.910416i \(-0.635762\pi\)
0.993695 + 0.112113i \(0.0357620\pi\)
\(374\) −3.64957 + 9.13327i −0.188715 + 0.472270i
\(375\) −7.62897 17.7988i −0.393958 0.919128i
\(376\) 5.78377 + 12.6001i 0.298275 + 0.649798i
\(377\) 13.9723 + 10.1515i 0.719611 + 0.522828i
\(378\) −28.7016 17.2059i −1.47625 0.884978i
\(379\) 9.05537 2.94227i 0.465143 0.151134i −0.0670635 0.997749i \(-0.521363\pi\)
0.532207 + 0.846615i \(0.321363\pi\)
\(380\) 23.7273 + 3.67779i 1.21718 + 0.188666i
\(381\) −0.333491 + 0.653005i −0.0170853 + 0.0334545i
\(382\) 5.69021 14.2401i 0.291136 0.728587i
\(383\) −12.0107 3.90253i −0.613720 0.199410i −0.0143700 0.999897i \(-0.504574\pi\)
−0.599350 + 0.800487i \(0.704574\pi\)
\(384\) −15.9490 11.3855i −0.813894 0.581013i
\(385\) 0.256056 11.7490i 0.0130498 0.598785i
\(386\) 18.3529 + 29.1228i 0.934140 + 1.48231i
\(387\) −6.97364 + 2.25149i −0.354490 + 0.114449i
\(388\) 1.52728 11.5040i 0.0775359 0.584029i
\(389\) 7.55300 10.3958i 0.382952 0.527088i −0.573411 0.819268i \(-0.694380\pi\)
0.956364 + 0.292179i \(0.0943803\pi\)
\(390\) −16.2830 + 6.55127i −0.824521 + 0.331736i
\(391\) −7.99882 11.0094i −0.404518 0.556771i
\(392\) 4.50398 + 38.5938i 0.227485 + 1.94928i
\(393\) −21.0602 3.35576i −1.06234 0.169276i
\(394\) −10.8299 9.01713i −0.545604 0.454276i
\(395\) −4.24224 3.22570i −0.213450 0.162303i
\(396\) −4.78138 + 5.00879i −0.240273 + 0.251701i
\(397\) 9.30295 3.02271i 0.466902 0.151706i −0.0661120 0.997812i \(-0.521059\pi\)
0.533014 + 0.846107i \(0.321059\pi\)
\(398\) 5.30470 + 8.41760i 0.265901 + 0.421936i
\(399\) −6.66365 + 41.8199i −0.333600 + 2.09361i
\(400\) 18.9799 6.30577i 0.948996 0.315289i
\(401\) 10.9289i 0.545764i −0.962047 0.272882i \(-0.912023\pi\)
0.962047 0.272882i \(-0.0879769\pi\)
\(402\) −2.43295 + 1.04102i −0.121345 + 0.0519214i
\(403\) −0.0746137 0.229637i −0.00371678 0.0114391i
\(404\) 24.4664 + 11.7026i 1.21725 + 0.582225i
\(405\) −18.9747 6.70530i −0.942860 0.333189i
\(406\) 22.2093 26.6742i 1.10223 1.32382i
\(407\) 0.244244i 0.0121067i
\(408\) 1.23474 29.4961i 0.0611285 1.46027i
\(409\) −15.6144 + 11.3445i −0.772084 + 0.560952i −0.902593 0.430495i \(-0.858339\pi\)
0.130509 + 0.991447i \(0.458339\pi\)
\(410\) −0.856502 3.71871i −0.0422996 0.183654i
\(411\) −13.1046 13.1290i −0.646400 0.647608i
\(412\) 27.1976 + 3.61076i 1.33993 + 0.177889i
\(413\) −4.16028 + 3.02262i −0.204714 + 0.148734i
\(414\) −2.33596 9.29174i −0.114806 0.456664i
\(415\) −10.9580 36.4061i −0.537909 1.78710i
\(416\) −5.32829 17.3263i −0.261241 0.849492i
\(417\) −30.6240 15.6397i −1.49966 0.765881i
\(418\) 8.13722 + 3.25156i 0.398004 + 0.159039i
\(419\) −1.63280 + 5.02524i −0.0797675 + 0.245499i −0.982986 0.183683i \(-0.941198\pi\)
0.903218 + 0.429182i \(0.141198\pi\)
\(420\) 10.9796 + 33.5217i 0.535752 + 1.63569i
\(421\) −4.09724 12.6100i −0.199687 0.614574i −0.999890 0.0148440i \(-0.995275\pi\)
0.800203 0.599730i \(-0.204725\pi\)
\(422\) 2.09251 31.6615i 0.101862 1.54126i
\(423\) −11.9128 + 8.62122i −0.579220 + 0.419178i
\(424\) 23.5673 10.8180i 1.14453 0.525369i
\(425\) 23.5815 + 18.7555i 1.14387 + 0.909777i
\(426\) −14.1521 + 23.7077i −0.685670 + 1.14864i
\(427\) 12.5571 + 9.12329i 0.607682 + 0.441507i
\(428\) −9.44235 4.51640i −0.456413 0.218308i
\(429\) −6.32759 + 0.996138i −0.305499 + 0.0480940i
\(430\) 7.10885 + 3.02188i 0.342819 + 0.145728i
\(431\) −11.2029 + 34.4788i −0.539622 + 1.66079i 0.193821 + 0.981037i \(0.437912\pi\)
−0.733444 + 0.679750i \(0.762088\pi\)
\(432\) 8.54828 18.9454i 0.411279 0.911509i
\(433\) 22.6507 + 7.35966i 1.08852 + 0.353683i 0.797676 0.603087i \(-0.206063\pi\)
0.290848 + 0.956769i \(0.406063\pi\)
\(434\) −0.470397 + 0.119193i −0.0225798 + 0.00572145i
\(435\) 9.89670 18.3786i 0.474510 0.881188i
\(436\) −2.79311 15.1624i −0.133765 0.726145i
\(437\) −9.80876 + 7.12648i −0.469217 + 0.340906i
\(438\) −7.02380 + 0.634930i −0.335610 + 0.0303381i
\(439\) −8.78444 + 12.0907i −0.419258 + 0.577060i −0.965446 0.260603i \(-0.916079\pi\)
0.546188 + 0.837663i \(0.316079\pi\)
\(440\) 7.26664 0.687914i 0.346423 0.0327950i
\(441\) −39.2193 + 12.6622i −1.86759 + 0.602963i
\(442\) 17.4739 20.9868i 0.831149 0.998242i
\(443\) 6.20871i 0.294985i 0.989063 + 0.147492i \(0.0471202\pi\)
−0.989063 + 0.147492i \(0.952880\pi\)
\(444\) −0.243322 0.691561i −0.0115475 0.0328200i
\(445\) −29.9282 0.652250i −1.41873 0.0309196i
\(446\) 19.2080 + 1.26946i 0.909523 + 0.0601106i
\(447\) 36.6867 5.77549i 1.73522 0.273171i
\(448\) −35.4518 + 8.38885i −1.67494 + 0.396336i
\(449\) 27.6553i 1.30514i 0.757730 + 0.652568i \(0.226308\pi\)
−0.757730 + 0.652568i \(0.773692\pi\)
\(450\) 10.4829 + 18.4421i 0.494167 + 0.869367i
\(451\) 1.39270i 0.0655796i
\(452\) 4.11379 + 22.3317i 0.193496 + 1.05039i
\(453\) 30.9334 4.86977i 1.45338 0.228802i
\(454\) 0.233888 3.53892i 0.0109769 0.166090i
\(455\) −10.7570 + 30.8059i −0.504296 + 1.44420i
\(456\) −26.2793 1.10008i −1.23064 0.0515159i
\(457\) 28.3366i 1.32553i −0.748827 0.662765i \(-0.769383\pi\)
0.748827 0.662765i \(-0.230617\pi\)
\(458\) −3.73700 3.11147i −0.174618 0.145389i
\(459\) 30.9408 4.81175i 1.44419 0.224593i
\(460\) −4.55518 + 9.01347i −0.212386 + 0.420255i
\(461\) 0.601146 0.827406i 0.0279981 0.0385361i −0.794788 0.606887i \(-0.792418\pi\)
0.822787 + 0.568350i \(0.192418\pi\)
\(462\) 1.15899 + 12.8212i 0.0539213 + 0.596495i
\(463\) −9.44774 + 6.86418i −0.439074 + 0.319006i −0.785267 0.619158i \(-0.787474\pi\)
0.346193 + 0.938163i \(0.387474\pi\)
\(464\) 18.0548 + 11.7809i 0.838175 + 0.546916i
\(465\) −0.262965 + 0.126545i −0.0121947 + 0.00586840i
\(466\) −6.20935 24.5053i −0.287643 1.13519i
\(467\) −19.0994 6.20577i −0.883814 0.287169i −0.168274 0.985740i \(-0.553819\pi\)
−0.715540 + 0.698572i \(0.753819\pi\)
\(468\) 16.9238 9.12420i 0.782302 0.421766i
\(469\) −1.52029 + 4.67898i −0.0702006 + 0.216055i
\(470\) 15.4409 + 1.35896i 0.712234 + 0.0626843i
\(471\) 26.1815 4.12169i 1.20638 0.189917i
\(472\) −2.16424 2.34894i −0.0996171 0.108119i
\(473\) 2.28070 + 1.65702i 0.104867 + 0.0761900i
\(474\) 5.01279 + 2.99234i 0.230245 + 0.137443i
\(475\) 16.7101 21.0097i 0.766712 0.963993i
\(476\) −39.7704 37.8231i −1.82288 1.73362i
\(477\) 16.1252 + 22.2818i 0.738322 + 1.02021i
\(478\) −8.96319 0.592379i −0.409967 0.0270948i
\(479\) −2.49441 7.67699i −0.113972 0.350771i 0.877759 0.479102i \(-0.159038\pi\)
−0.991731 + 0.128332i \(0.959038\pi\)
\(480\) −19.8897 + 9.18698i −0.907836 + 0.419326i
\(481\) 0.209565 0.644975i 0.00955534 0.0294083i
\(482\) 2.91212 7.28775i 0.132643 0.331948i
\(483\) −15.8629 8.10121i −0.721786 0.368618i
\(484\) −19.1680 2.54474i −0.871271 0.115670i
\(485\) −10.3281 7.85327i −0.468977 0.356599i
\(486\) 21.4762 + 4.97737i 0.974179 + 0.225778i
\(487\) 10.3843 7.54461i 0.470556 0.341879i −0.327102 0.944989i \(-0.606072\pi\)
0.797658 + 0.603110i \(0.206072\pi\)
\(488\) −4.72427 + 8.40358i −0.213858 + 0.380412i
\(489\) −14.2221 14.2487i −0.643145 0.644347i
\(490\) 39.9798 + 16.9949i 1.80610 + 0.767750i
\(491\) −11.4129 + 8.29194i −0.515056 + 0.374210i −0.814738 0.579829i \(-0.803119\pi\)
0.299682 + 0.954039i \(0.403119\pi\)
\(492\) 1.38744 + 3.94333i 0.0625506 + 0.177779i
\(493\) 32.4785i 1.46276i
\(494\) −18.6981 15.5682i −0.841265 0.700448i
\(495\) 2.21753 + 7.41751i 0.0996707 + 0.333392i
\(496\) −0.107399 0.281616i −0.00482236 0.0126449i
\(497\) 15.8620 + 48.8183i 0.711510 + 2.18980i
\(498\) 16.3838 + 38.2903i 0.734177 + 1.71583i
\(499\) 25.9844i 1.16322i −0.813467 0.581612i \(-0.802422\pi\)
0.813467 0.581612i \(-0.197578\pi\)
\(500\) 4.38450 21.9266i 0.196081 0.980588i
\(501\) −2.04098 + 12.8088i −0.0911841 + 0.572255i
\(502\) −25.6778 + 16.1820i −1.14606 + 0.722236i
\(503\) 21.4768 6.97823i 0.957603 0.311144i 0.211802 0.977313i \(-0.432067\pi\)
0.745801 + 0.666169i \(0.232067\pi\)
\(504\) −16.0544 35.1477i −0.715119 1.56560i
\(505\) 24.9138 17.2843i 1.10865 0.769139i
\(506\) −2.35835 + 2.83247i −0.104841 + 0.125918i
\(507\) −4.67219 0.744474i −0.207499 0.0330632i
\(508\) −0.744503 + 0.403183i −0.0330320 + 0.0178884i
\(509\) 2.31919 + 3.19210i 0.102796 + 0.141487i 0.857316 0.514790i \(-0.172130\pi\)
−0.754520 + 0.656277i \(0.772130\pi\)
\(510\) −27.9657 17.5314i −1.23834 0.776303i
\(511\) −7.70658 + 10.6072i −0.340919 + 0.469235i
\(512\) −7.72763 21.2670i −0.341516 0.939876i
\(513\) −4.28699 27.5664i −0.189275 1.21709i
\(514\) 26.1864 16.5025i 1.15503 0.727894i
\(515\) 18.5665 24.4175i 0.818139 1.07597i
\(516\) −8.10841 2.41967i −0.356953 0.106520i
\(517\) 5.38014 + 1.74811i 0.236618 + 0.0768820i
\(518\) −1.26564 0.505737i −0.0556090 0.0222208i
\(519\) −4.29553 + 8.41103i −0.188553 + 0.369203i
\(520\) −19.7792 4.41831i −0.867376 0.193756i
\(521\) −33.9549 + 11.0326i −1.48759 + 0.483347i −0.936371 0.351013i \(-0.885837\pi\)
−0.551220 + 0.834360i \(0.685837\pi\)
\(522\) −8.52443 + 21.2178i −0.373104 + 0.928680i
\(523\) 10.4118 + 7.56462i 0.455276 + 0.330778i 0.791675 0.610942i \(-0.209209\pi\)
−0.336399 + 0.941720i \(0.609209\pi\)
\(524\) −17.8439 16.9701i −0.779512 0.741344i
\(525\) 38.6389 + 7.89662i 1.68634 + 0.344637i
\(526\) 6.26001 + 2.50144i 0.272949 + 0.109068i
\(527\) 0.266895 0.367350i 0.0116261 0.0160020i
\(528\) −7.82620 + 1.63808i −0.340591 + 0.0712882i
\(529\) 5.53152 + 17.0243i 0.240501 + 0.740186i
\(530\) 2.54182 28.8807i 0.110409 1.25450i
\(531\) 1.99637 2.73700i 0.0866349 0.118776i
\(532\) −33.6982 + 35.4332i −1.46100 + 1.53622i
\(533\) −1.19496 + 3.67770i −0.0517593 + 0.159299i
\(534\) 32.6593 2.95230i 1.41331 0.127758i
\(535\) −9.61502 + 6.67055i −0.415694 + 0.288393i
\(536\) −2.99601 0.601031i −0.129408 0.0259606i
\(537\) 25.9957 13.2149i 1.12180 0.570266i
\(538\) −3.93642 + 0.997441i −0.169711 + 0.0430028i
\(539\) 12.8265 + 9.31900i 0.552477 + 0.401398i
\(540\) −13.6683 18.7930i −0.588190 0.808723i
\(541\) −33.1119 + 24.0572i −1.42359 + 1.03430i −0.432426 + 0.901669i \(0.642342\pi\)
−0.991166 + 0.132630i \(0.957658\pi\)
\(542\) 10.6775 12.8241i 0.458637 0.550841i
\(543\) −10.6898 1.70332i −0.458742 0.0730966i
\(544\) 20.4705 27.2583i 0.877666 1.16869i
\(545\) −16.2737 5.68254i −0.697087 0.243413i
\(546\) 7.94021 34.8513i 0.339810 1.49150i
\(547\) 8.18767 + 25.1990i 0.350079 + 1.07743i 0.958808 + 0.284055i \(0.0916798\pi\)
−0.608729 + 0.793379i \(0.708320\pi\)
\(548\) −3.88049 21.0652i −0.165766 0.899861i
\(549\) −9.71890 3.17794i −0.414792 0.135631i
\(550\) 3.35540 7.43894i 0.143075 0.317197i
\(551\) 28.9365 1.23274
\(552\) 3.85573 10.3694i 0.164111 0.441350i
\(553\) 10.3222 3.35389i 0.438945 0.142622i
\(554\) 0.646395 9.78049i 0.0274627 0.415533i
\(555\) −0.806437 0.146583i −0.0342314 0.00622212i
\(556\) −18.9081 34.9150i −0.801882 1.48073i
\(557\) −15.4657 −0.655302 −0.327651 0.944799i \(-0.606257\pi\)
−0.327651 + 0.944799i \(0.606257\pi\)
\(558\) 0.270775 0.169935i 0.0114628 0.00719392i
\(559\) −4.60088 6.33257i −0.194596 0.267839i
\(560\) −11.4818 + 39.0791i −0.485194 + 1.65139i
\(561\) −8.50979 8.52570i −0.359284 0.359955i
\(562\) 5.36319 1.35897i 0.226232 0.0573247i
\(563\) 16.4502 + 22.6417i 0.693292 + 0.954234i 0.999997 + 0.00242961i \(0.000773371\pi\)
−0.306705 + 0.951805i \(0.599227\pi\)
\(564\) −16.9750 + 0.410156i −0.714778 + 0.0172707i
\(565\) 23.9684 + 8.36944i 1.00836 + 0.352105i
\(566\) 2.55994 + 10.1028i 0.107602 + 0.424653i
\(567\) 33.2470 23.9662i 1.39624 1.00649i
\(568\) −28.9750 + 13.3003i −1.21576 + 0.558069i
\(569\) −22.6458 7.35808i −0.949363 0.308467i −0.206906 0.978361i \(-0.566340\pi\)
−0.742457 + 0.669894i \(0.766340\pi\)
\(570\) −15.6194 + 24.9158i −0.654227 + 1.04361i
\(571\) 29.0824 9.44945i 1.21706 0.395447i 0.371050 0.928613i \(-0.378998\pi\)
0.846011 + 0.533166i \(0.178998\pi\)
\(572\) −6.67246 3.19152i −0.278990 0.133444i
\(573\) 13.2680 + 13.2928i 0.554279 + 0.555314i
\(574\) 7.21677 + 2.88375i 0.301222 + 0.120366i
\(575\) 6.23250 + 9.41521i 0.259913 + 0.392642i
\(576\) 20.5275 12.4348i 0.855311 0.518115i
\(577\) 25.2046 34.6912i 1.04928 1.44421i 0.159852 0.987141i \(-0.448898\pi\)
0.889430 0.457072i \(-0.151102\pi\)
\(578\) 27.2550 + 1.80129i 1.13366 + 0.0749237i
\(579\) −41.6469 + 6.55637i −1.73078 + 0.272473i
\(580\) 21.4398 11.0134i 0.890238 0.457307i
\(581\) 73.6388 + 23.9267i 3.05505 + 0.992646i
\(582\) 12.2041 + 7.28512i 0.505877 + 0.301978i
\(583\) 3.26969 10.0631i 0.135417 0.416770i
\(584\) −7.09863 3.99067i −0.293743 0.165135i
\(585\) 0.508496 21.4901i 0.0210237 0.888505i
\(586\) −26.2325 + 16.5315i −1.08365 + 0.682910i
\(587\) −9.39272 12.9280i −0.387679 0.533594i 0.569920 0.821701i \(-0.306974\pi\)
−0.957598 + 0.288106i \(0.906974\pi\)
\(588\) −45.6012 13.6081i −1.88056 0.561187i
\(589\) −0.327287 0.237788i −0.0134856 0.00979789i
\(590\) −3.47986 + 0.801491i −0.143264 + 0.0329968i
\(591\) 15.3857 7.82133i 0.632884 0.321727i
\(592\) 0.220879 0.817208i 0.00907806 0.0335870i
\(593\) −1.86554 −0.0766087 −0.0383043 0.999266i \(-0.512196\pi\)
−0.0383043 + 0.999266i \(0.512196\pi\)
\(594\) −3.32167 7.80325i −0.136290 0.320171i
\(595\) −58.7584 + 17.6860i −2.40886 + 0.725054i
\(596\) 38.6862 + 18.5041i 1.58465 + 0.757957i
\(597\) −12.0375 + 1.89504i −0.492664 + 0.0775589i
\(598\) 8.65798 5.45619i 0.354051 0.223120i
\(599\) −12.1592 −0.496810 −0.248405 0.968656i \(-0.579906\pi\)
−0.248405 + 0.968656i \(0.579906\pi\)
\(600\) −2.08975 + 24.4056i −0.0853136 + 0.996354i
\(601\) 30.5857 1.24762 0.623808 0.781578i \(-0.285585\pi\)
0.623808 + 0.781578i \(0.285585\pi\)
\(602\) −13.3089 + 8.38718i −0.542431 + 0.341836i
\(603\) 0.00605140 3.24105i 0.000246432 0.131986i
\(604\) 32.6193 + 15.6022i 1.32726 + 0.634847i
\(605\) −13.0851 + 17.2087i −0.531984 + 0.699632i
\(606\) −25.0058 + 21.8642i −1.01579 + 0.888171i
\(607\) −12.9025 −0.523695 −0.261847 0.965109i \(-0.584332\pi\)
−0.261847 + 0.965109i \(0.584332\pi\)
\(608\) −24.2855 18.2380i −0.984909 0.739651i
\(609\) 19.2640 + 37.8952i 0.780618 + 1.53559i
\(610\) 5.54649 + 9.24176i 0.224571 + 0.374188i
\(611\) −12.7074 9.23249i −0.514087 0.373506i
\(612\) 32.5884 + 15.6623i 1.31731 + 0.633111i
\(613\) 20.3377 + 27.9925i 0.821433 + 1.13061i 0.989458 + 0.144823i \(0.0462612\pi\)
−0.168024 + 0.985783i \(0.553739\pi\)
\(614\) −0.454644 + 0.286513i −0.0183480 + 0.0115627i
\(615\) 4.59837 + 0.835830i 0.185424 + 0.0337039i
\(616\) −7.28452 + 12.9578i −0.293502 + 0.522083i
\(617\) 9.29501 28.6071i 0.374203 1.15168i −0.569812 0.821775i \(-0.692984\pi\)
0.944015 0.329903i \(-0.107016\pi\)
\(618\) −17.2233 + 28.8527i −0.692823 + 1.16062i
\(619\) −20.3775 6.62106i −0.819042 0.266123i −0.130620 0.991433i \(-0.541697\pi\)
−0.688423 + 0.725310i \(0.741697\pi\)
\(620\) −0.332999 0.0516157i −0.0133736 0.00207294i
\(621\) 11.5845 + 1.86807i 0.464869 + 0.0749632i
\(622\) −5.42156 0.358312i −0.217385 0.0143670i
\(623\) 35.8340 49.3213i 1.43566 1.97602i
\(624\) 22.0721 + 2.38932i 0.883592 + 0.0956494i
\(625\) −18.8695 16.3995i −0.754778 0.655980i
\(626\) −18.8994 7.55202i −0.755372 0.301840i
\(627\) −7.59590 + 7.58173i −0.303351 + 0.302785i
\(628\) 27.6084 + 13.2055i 1.10170 + 0.526955i
\(629\) 1.21291 0.394098i 0.0483618 0.0157137i
\(630\) −43.0281 3.86792i −1.71428 0.154101i
\(631\) 31.0018 + 10.0731i 1.23416 + 0.401004i 0.852220 0.523183i \(-0.175255\pi\)
0.381942 + 0.924186i \(0.375255\pi\)
\(632\) 2.81224 + 6.12651i 0.111865 + 0.243700i
\(633\) 34.6096 + 17.6752i 1.37561 + 0.702526i
\(634\) 9.45907 + 37.3303i 0.375668 + 1.48258i
\(635\) −0.0206252 + 0.946376i −0.000818485 + 0.0375558i
\(636\) 0.767160 + 31.7503i 0.0304199 + 1.25898i
\(637\) −25.8751 35.6140i −1.02521 1.41108i
\(638\) 8.52709 2.16066i 0.337591 0.0855415i
\(639\) −19.8253 27.3946i −0.784276 1.08371i
\(640\) −24.9353 4.26981i −0.985654 0.168779i
\(641\) −13.2734 18.2693i −0.524267 0.721592i 0.461976 0.886893i \(-0.347141\pi\)
−0.986243 + 0.165300i \(0.947141\pi\)
\(642\) 9.65052 8.43808i 0.380876 0.333024i
\(643\) 11.9673 0.471945 0.235973 0.971760i \(-0.424172\pi\)
0.235973 + 0.971760i \(0.424172\pi\)
\(644\) −9.79419 18.0856i −0.385945 0.712672i
\(645\) −6.83987 + 6.53587i −0.269320 + 0.257349i
\(646\) 3.01739 45.6557i 0.118718 1.79630i
\(647\) 26.9297 8.74998i 1.05871 0.343997i 0.272632 0.962119i \(-0.412106\pi\)
0.786083 + 0.618121i \(0.212106\pi\)
\(648\) 17.1789 + 18.7853i 0.674850 + 0.737955i
\(649\) −1.30325 −0.0511570
\(650\) −15.2433 + 16.7650i −0.597892 + 0.657578i
\(651\) 0.0935206 0.586919i 0.00366536 0.0230032i
\(652\) −4.21141 22.8616i −0.164931 0.895330i
\(653\) −0.0910631 0.280263i −0.00356358 0.0109676i 0.949259 0.314496i \(-0.101835\pi\)
−0.952822 + 0.303528i \(0.901835\pi\)
\(654\) 18.4107 + 4.19453i 0.719915 + 0.164019i
\(655\) −26.3632 + 7.93518i −1.03010 + 0.310053i
\(656\) −1.25947 + 4.65978i −0.0491739 + 0.181934i
\(657\) 2.68445 8.20970i 0.104730 0.320291i
\(658\) −20.1987 + 24.2595i −0.787428 + 0.945732i
\(659\) 7.82367 5.68423i 0.304767 0.221426i −0.424881 0.905249i \(-0.639684\pi\)
0.729648 + 0.683823i \(0.239684\pi\)
\(660\) −2.74234 + 8.50855i −0.106746 + 0.331195i
\(661\) 23.2128 + 16.8651i 0.902875 + 0.655977i 0.939203 0.343363i \(-0.111566\pi\)
−0.0363279 + 0.999340i \(0.511566\pi\)
\(662\) 3.81002 0.965415i 0.148081 0.0375219i
\(663\) 15.1566 + 29.8153i 0.588634 + 1.15793i
\(664\) −9.45916 + 47.1518i −0.367087 + 1.82985i
\(665\) 15.7572 + 52.3504i 0.611037 + 2.03006i
\(666\) 0.895816 + 0.0608848i 0.0347122 + 0.00235924i
\(667\) −3.76105 + 11.5753i −0.145628 + 0.448198i
\(668\) −10.3213 + 10.8526i −0.399341 + 0.419901i
\(669\) −10.7230 + 20.9965i −0.414574 + 0.811772i
\(670\) −2.24268 + 2.57721i −0.0866423 + 0.0995663i
\(671\) 1.21556 + 3.74111i 0.0469262 + 0.144424i
\(672\) 7.71681 43.9461i 0.297682 1.69526i
\(673\) −12.1353 + 16.7028i −0.467781 + 0.643845i −0.976100 0.217324i \(-0.930267\pi\)
0.508319 + 0.861169i \(0.330267\pi\)
\(674\) −24.0989 9.62970i −0.928255 0.370922i
\(675\) −25.8217 + 2.87015i −0.993879 + 0.110472i
\(676\) −3.95865 3.76482i −0.152256 0.144801i
\(677\) −37.4298 27.1944i −1.43854 1.04516i −0.988344 0.152237i \(-0.951352\pi\)
−0.450201 0.892927i \(-0.648648\pi\)
\(678\) −27.1159 6.17785i −1.04138 0.237259i
\(679\) 25.1304 8.16537i 0.964417 0.313358i
\(680\) −15.1412 34.9759i −0.580638 1.34126i
\(681\) 3.86845 + 1.97562i 0.148239 + 0.0757061i
\(682\) −0.114201 0.0456338i −0.00437300 0.00174741i
\(683\) −11.5373 3.74871i −0.441464 0.143440i 0.0798468 0.996807i \(-0.474557\pi\)
−0.521311 + 0.853367i \(0.674557\pi\)
\(684\) 13.9542 29.0344i 0.533552 1.11016i
\(685\) −22.6092 7.89480i −0.863851 0.301645i
\(686\) −36.7094 + 23.1340i −1.40157 + 0.883258i
\(687\) 5.30903 2.69885i 0.202552 0.102967i
\(688\) −6.13240 7.60669i −0.233796 0.290002i
\(689\) −17.2685 + 23.7681i −0.657878 + 0.905492i
\(690\) −7.93678 9.48662i −0.302148 0.361149i
\(691\) 20.4701 + 28.1747i 0.778719 + 1.07181i 0.995422 + 0.0955767i \(0.0304695\pi\)
−0.216703 + 0.976237i \(0.569530\pi\)
\(692\) −9.58958 + 5.19321i −0.364541 + 0.197416i
\(693\) −14.9859 4.90017i −0.569267 0.186142i
\(694\) 2.00101 2.40330i 0.0759575 0.0912279i
\(695\) −44.3822 0.967259i −1.68351 0.0366902i
\(696\) −21.9914 + 14.6127i −0.833581 + 0.553892i
\(697\) −6.91610 + 2.24718i −0.261966 + 0.0851179i
\(698\) 31.5243 19.8663i 1.19321 0.751952i
\(699\) 30.5755 + 4.87195i 1.15647 + 0.184274i
\(700\) 31.5998 + 32.7904i 1.19436 + 1.23936i
\(701\) 17.8486i 0.674132i 0.941481 + 0.337066i \(0.109435\pi\)
−0.941481 + 0.337066i \(0.890565\pi\)
\(702\) 2.07621 + 23.4561i 0.0783615 + 0.885292i
\(703\) −0.351119 1.08063i −0.0132427 0.0407568i
\(704\) −8.51836 3.56106i −0.321048 0.134213i
\(705\) −9.00077 + 16.7149i −0.338989 + 0.629518i
\(706\) 12.5379 + 10.4392i 0.471872 + 0.392886i
\(707\) 61.7527i 2.32245i
\(708\) 3.69006 1.29833i 0.138681 0.0487941i
\(709\) −30.9332 + 22.4743i −1.16172 + 0.844040i −0.989995 0.141104i \(-0.954935\pi\)
−0.171727 + 0.985145i \(0.554935\pi\)
\(710\) −3.12506 + 35.5077i −0.117281 + 1.33258i
\(711\) −5.79235 + 4.19188i −0.217230 + 0.157208i
\(712\) 33.0072 + 18.5558i 1.23700 + 0.695408i
\(713\) 0.137661 0.100016i 0.00515543 0.00374564i
\(714\) 61.7995 26.4430i 2.31279 0.989606i
\(715\) −6.79448 + 4.71376i −0.254099 + 0.176285i
\(716\) 33.3803 + 4.43157i 1.24748 + 0.165616i
\(717\) 5.00376 9.79781i 0.186869 0.365906i
\(718\) 7.73048 19.3460i 0.288499 0.721986i
\(719\) −1.50211 + 4.62303i −0.0560193 + 0.172410i −0.975151 0.221540i \(-0.928892\pi\)
0.919132 + 0.393950i \(0.128892\pi\)
\(720\) −0.711653 26.8234i −0.0265217 0.999648i
\(721\) 19.3044 + 59.4127i 0.718932 + 2.21264i
\(722\) −13.8650 0.916342i −0.516003 0.0341027i
\(723\) 6.79025 + 6.80294i 0.252532 + 0.253004i
\(724\) −9.05722 8.61374i −0.336609 0.320127i
\(725\) 1.17405 26.9225i 0.0436030 0.999876i
\(726\) 12.1384 20.3344i 0.450499 0.754681i
\(727\) −1.78083 1.29385i −0.0660473 0.0479862i 0.554272 0.832336i \(-0.312997\pi\)
−0.620319 + 0.784350i \(0.712997\pi\)
\(728\) 30.3542 27.9673i 1.12500 1.03654i
\(729\) −15.9923 + 21.7542i −0.592308 + 0.805712i
\(730\) −7.80665 + 4.68521i −0.288937 + 0.173407i
\(731\) 4.54873 13.9995i 0.168241 0.517792i
\(732\) −7.16877 9.38174i −0.264965 0.346759i
\(733\) −42.2944 13.7423i −1.56218 0.507583i −0.604791 0.796385i \(-0.706743\pi\)
−0.957389 + 0.288802i \(0.906743\pi\)
\(734\) −7.22513 28.5141i −0.266685 1.05247i
\(735\) −38.4670 + 36.7573i −1.41888 + 1.35581i
\(736\) 10.4522 7.34431i 0.385274 0.270715i
\(737\) −1.00870 + 0.732867i −0.0371561 + 0.0269955i
\(738\) −5.10801 0.347170i −0.188029 0.0127795i
\(739\) −13.3663 + 18.3971i −0.491687 + 0.676749i −0.980698 0.195529i \(-0.937358\pi\)
0.489011 + 0.872277i \(0.337358\pi\)
\(740\) −0.671448 0.667030i −0.0246829 0.0245205i
\(741\) 26.5637 13.5037i 0.975843 0.496070i
\(742\) 45.3751 + 37.7799i 1.66577 + 1.38694i
\(743\) 14.3493i 0.526426i −0.964738 0.263213i \(-0.915218\pi\)
0.964738 0.263213i \(-0.0847822\pi\)
\(744\) 0.368815 + 0.0154390i 0.0135214 + 0.000566021i
\(745\) 39.3936 27.3299i 1.44327 1.00129i
\(746\) −1.77734 + 26.8926i −0.0650729 + 0.984608i
\(747\) −51.0084 0.0952383i −1.86630 0.00348459i
\(748\) −2.51990 13.6793i −0.0921367 0.500163i
\(749\) 23.8323i 0.870815i
\(750\) 22.5479 + 15.5432i 0.823333 + 0.567559i
\(751\) 4.38787i 0.160116i −0.996790 0.0800579i \(-0.974489\pi\)
0.996790 0.0800579i \(-0.0255105\pi\)
\(752\) −16.4204 10.7144i −0.598789 0.390714i
\(753\) −5.78081 36.7204i −0.210664 1.33817i
\(754\) −24.3713 1.61071i −0.887552 0.0586585i
\(755\) 33.2158 23.0439i 1.20885 0.838655i
\(756\) 47.3133 1.05481i 1.72077 0.0383631i
\(757\) 21.8399i 0.793785i −0.917865 0.396893i \(-0.870089\pi\)
0.917865 0.396893i \(-0.129911\pi\)
\(758\) −8.61585 + 10.3480i −0.312942 + 0.375855i
\(759\) −2.04560 4.02399i −0.0742505 0.146062i
\(760\) −31.1615 + 13.4899i −1.13035 + 0.489331i
\(761\) 15.0826 20.7594i 0.546743 0.752528i −0.442822 0.896609i \(-0.646023\pi\)
0.989566 + 0.144082i \(0.0460228\pi\)
\(762\) −0.0933563 1.03274i −0.00338194 0.0374122i
\(763\) 28.4001 20.6339i 1.02815 0.746997i
\(764\) 3.92889 + 21.3279i 0.142142 + 0.771618i
\(765\) 33.2570 22.9807i 1.20241 0.830867i
\(766\) 17.3127 4.38684i 0.625535 0.158503i
\(767\) 3.44148 + 1.11821i 0.124265 + 0.0403761i
\(768\) 27.6668 + 1.59672i 0.998339 + 0.0576166i
\(769\) 9.02327 27.7708i 0.325387 1.00144i −0.645878 0.763441i \(-0.723509\pi\)
0.971265 0.237999i \(-0.0764914\pi\)
\(770\) 8.55233 + 14.2502i 0.308204 + 0.513541i
\(771\) 5.89532 + 37.4478i 0.212315 + 1.34865i
\(772\) −43.9167 21.0059i −1.58060 0.756020i
\(773\) 11.7098 + 8.50765i 0.421171 + 0.305999i 0.778109 0.628129i \(-0.216179\pi\)
−0.356938 + 0.934128i \(0.616179\pi\)
\(774\)