Properties

Label 585.2.bt.b.376.4
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.4
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.24228 - 1.29458i) q^{2} +(-0.927160 + 1.46300i) q^{3} +(2.35187 + 4.07355i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(3.97292 - 2.08017i) q^{6} +(-1.32705 - 0.766174i) q^{7} -7.00039i q^{8} +(-1.28075 - 2.71287i) q^{9} +O(q^{10})\) \(q+(-2.24228 - 1.29458i) q^{2} +(-0.927160 + 1.46300i) q^{3} +(2.35187 + 4.07355i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(3.97292 - 2.08017i) q^{6} +(-1.32705 - 0.766174i) q^{7} -7.00039i q^{8} +(-1.28075 - 2.71287i) q^{9} +2.58916 q^{10} +(0.217487 + 0.125566i) q^{11} +(-8.14017 - 0.336050i) q^{12} +(0.215952 + 3.59908i) q^{13} +(1.98374 + 3.43595i) q^{14} +(0.0714432 - 1.73058i) q^{15} +(-4.35882 + 7.54970i) q^{16} -5.82409 q^{17} +(-0.640236 + 7.74104i) q^{18} +4.62116i q^{19} +(-4.07355 - 2.35187i) q^{20} +(2.35130 - 1.23111i) q^{21} +(-0.325111 - 0.563109i) q^{22} +(-1.46375 - 2.53529i) q^{23} +(10.2416 + 6.49048i) q^{24} +(0.500000 - 0.866025i) q^{25} +(4.17507 - 8.34969i) q^{26} +(5.15640 + 0.641531i) q^{27} -7.20776i q^{28} +(2.12701 - 3.68409i) q^{29} +(-2.40056 + 3.78794i) q^{30} +(0.0701012 - 0.0404730i) q^{31} +(7.42234 - 4.28529i) q^{32} +(-0.385350 + 0.201764i) q^{33} +(13.0592 + 7.53974i) q^{34} +1.53235 q^{35} +(8.03889 - 11.5975i) q^{36} -3.43139i q^{37} +(5.98246 - 10.3619i) q^{38} +(-5.46568 - 3.02098i) q^{39} +(3.50020 + 6.06252i) q^{40} +(7.46133 - 4.30780i) q^{41} +(-6.86605 - 0.283450i) q^{42} +(2.97325 - 5.14982i) q^{43} +1.18126i q^{44} +(2.46560 + 1.70904i) q^{45} +7.57977i q^{46} +(-3.97219 - 2.29334i) q^{47} +(-7.00390 - 13.3768i) q^{48} +(-2.32595 - 4.02867i) q^{49} +(-2.24228 + 1.29458i) q^{50} +(5.39986 - 8.52066i) q^{51} +(-14.1531 + 9.34425i) q^{52} +5.86094 q^{53} +(-10.7316 - 8.11385i) q^{54} -0.251133 q^{55} +(-5.36352 + 9.28989i) q^{56} +(-6.76077 - 4.28456i) q^{57} +(-9.53869 + 5.50717i) q^{58} +(-7.40522 + 4.27541i) q^{59} +(7.21762 - 3.77906i) q^{60} +(-0.243390 + 0.421564i) q^{61} -0.209582 q^{62} +(-0.378913 + 4.58140i) q^{63} -4.75527 q^{64} +(-1.98656 - 3.00892i) q^{65} +(1.12526 + 0.0464540i) q^{66} +(3.56745 - 2.05967i) q^{67} +(-13.6975 - 23.7247i) q^{68} +(5.06627 + 0.209150i) q^{69} +(-3.43595 - 1.98374i) q^{70} -7.73670i q^{71} +(-18.9912 + 8.96574i) q^{72} -14.7204i q^{73} +(-4.44221 + 7.69413i) q^{74} +(0.803417 + 1.53445i) q^{75} +(-18.8246 + 10.8684i) q^{76} +(-0.192411 - 0.333266i) q^{77} +(8.34466 + 13.8496i) q^{78} +(6.91417 - 11.9757i) q^{79} -8.71765i q^{80} +(-5.71937 + 6.94902i) q^{81} -22.3072 q^{82} +(11.8235 + 6.82628i) q^{83} +(10.5450 + 6.68274i) q^{84} +(5.04381 - 2.91205i) q^{85} +(-13.3337 + 7.69821i) q^{86} +(3.41775 + 6.52756i) q^{87} +(0.879014 - 1.52250i) q^{88} +5.99700i q^{89} +(-3.31606 - 7.02406i) q^{90} +(2.47094 - 4.94162i) q^{91} +(6.88510 - 11.9254i) q^{92} +(-0.00578304 + 0.140083i) q^{93} +(5.93783 + 10.2846i) q^{94} +(-2.31058 - 4.00205i) q^{95} +(-0.612310 + 14.8320i) q^{96} +(-7.77220 - 4.48728i) q^{97} +12.0445i q^{98} +(0.0620991 - 0.750835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.24228 1.29458i −1.58553 0.915405i −0.994031 0.109098i \(-0.965204\pi\)
−0.591497 0.806307i \(-0.701463\pi\)
\(3\) −0.927160 + 1.46300i −0.535296 + 0.844664i
\(4\) 2.35187 + 4.07355i 1.17593 + 2.03678i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 3.97292 2.08017i 1.62194 0.849227i
\(7\) −1.32705 0.766174i −0.501579 0.289587i 0.227787 0.973711i \(-0.426851\pi\)
−0.729365 + 0.684125i \(0.760184\pi\)
\(8\) 7.00039i 2.47501i
\(9\) −1.28075 2.71287i −0.426916 0.904291i
\(10\) 2.58916 0.818763
\(11\) 0.217487 + 0.125566i 0.0655749 + 0.0378597i 0.532429 0.846475i \(-0.321279\pi\)
−0.466854 + 0.884334i \(0.654613\pi\)
\(12\) −8.14017 0.336050i −2.34987 0.0970093i
\(13\) 0.215952 + 3.59908i 0.0598943 + 0.998205i
\(14\) 1.98374 + 3.43595i 0.530178 + 0.918295i
\(15\) 0.0714432 1.73058i 0.0184466 0.446833i
\(16\) −4.35882 + 7.54970i −1.08971 + 1.88743i
\(17\) −5.82409 −1.41255 −0.706275 0.707938i \(-0.749626\pi\)
−0.706275 + 0.707938i \(0.749626\pi\)
\(18\) −0.640236 + 7.74104i −0.150905 + 1.82458i
\(19\) 4.62116i 1.06017i 0.847945 + 0.530084i \(0.177840\pi\)
−0.847945 + 0.530084i \(0.822160\pi\)
\(20\) −4.07355 2.35187i −0.910874 0.525893i
\(21\) 2.35130 1.23111i 0.513097 0.268651i
\(22\) −0.325111 0.563109i −0.0693139 0.120055i
\(23\) −1.46375 2.53529i −0.305214 0.528645i 0.672095 0.740465i \(-0.265395\pi\)
−0.977309 + 0.211819i \(0.932061\pi\)
\(24\) 10.2416 + 6.49048i 2.09056 + 1.32486i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 4.17507 8.34969i 0.818798 1.63751i
\(27\) 5.15640 + 0.641531i 0.992349 + 0.123463i
\(28\) 7.20776i 1.36214i
\(29\) 2.12701 3.68409i 0.394976 0.684119i −0.598122 0.801405i \(-0.704086\pi\)
0.993098 + 0.117286i \(0.0374196\pi\)
\(30\) −2.40056 + 3.78794i −0.438281 + 0.691580i
\(31\) 0.0701012 0.0404730i 0.0125906 0.00726916i −0.493692 0.869637i \(-0.664353\pi\)
0.506282 + 0.862368i \(0.331019\pi\)
\(32\) 7.42234 4.28529i 1.31210 0.757539i
\(33\) −0.385350 + 0.201764i −0.0670808 + 0.0351227i
\(34\) 13.0592 + 7.53974i 2.23964 + 1.29306i
\(35\) 1.53235 0.259014
\(36\) 8.03889 11.5975i 1.33981 1.93292i
\(37\) 3.43139i 0.564117i −0.959397 0.282059i \(-0.908983\pi\)
0.959397 0.282059i \(-0.0910173\pi\)
\(38\) 5.98246 10.3619i 0.970483 1.68093i
\(39\) −5.46568 3.02098i −0.875209 0.483744i
\(40\) 3.50020 + 6.06252i 0.553430 + 0.958568i
\(41\) 7.46133 4.30780i 1.16526 0.672766i 0.212704 0.977117i \(-0.431773\pi\)
0.952560 + 0.304351i \(0.0984395\pi\)
\(42\) −6.86605 0.283450i −1.05945 0.0437373i
\(43\) 2.97325 5.14982i 0.453417 0.785340i −0.545179 0.838320i \(-0.683538\pi\)
0.998596 + 0.0529792i \(0.0168717\pi\)
\(44\) 1.18126i 0.178082i
\(45\) 2.46560 + 1.70904i 0.367550 + 0.254769i
\(46\) 7.57977i 1.11758i
\(47\) −3.97219 2.29334i −0.579403 0.334518i 0.181493 0.983392i \(-0.441907\pi\)
−0.760896 + 0.648874i \(0.775240\pi\)
\(48\) −7.00390 13.3768i −1.01093 1.93077i
\(49\) −2.32595 4.02867i −0.332279 0.575525i
\(50\) −2.24228 + 1.29458i −0.317106 + 0.183081i
\(51\) 5.39986 8.52066i 0.756132 1.19313i
\(52\) −14.1531 + 9.34425i −1.96269 + 1.29581i
\(53\) 5.86094 0.805063 0.402531 0.915406i \(-0.368130\pi\)
0.402531 + 0.915406i \(0.368130\pi\)
\(54\) −10.7316 8.11385i −1.46038 1.10416i
\(55\) −0.251133 −0.0338627
\(56\) −5.36352 + 9.28989i −0.716730 + 1.24141i
\(57\) −6.76077 4.28456i −0.895486 0.567504i
\(58\) −9.53869 + 5.50717i −1.25249 + 0.723126i
\(59\) −7.40522 + 4.27541i −0.964077 + 0.556610i −0.897426 0.441166i \(-0.854565\pi\)
−0.0666519 + 0.997776i \(0.521232\pi\)
\(60\) 7.21762 3.77906i 0.931791 0.487874i
\(61\) −0.243390 + 0.421564i −0.0311629 + 0.0539758i −0.881186 0.472769i \(-0.843254\pi\)
0.850023 + 0.526745i \(0.176588\pi\)
\(62\) −0.209582 −0.0266169
\(63\) −0.378913 + 4.58140i −0.0477385 + 0.577202i
\(64\) −4.75527 −0.594408
\(65\) −1.98656 3.00892i −0.246402 0.373210i
\(66\) 1.12526 + 0.0464540i 0.138510 + 0.00571809i
\(67\) 3.56745 2.05967i 0.435833 0.251628i −0.265995 0.963974i \(-0.585701\pi\)
0.701829 + 0.712346i \(0.252367\pi\)
\(68\) −13.6975 23.7247i −1.66106 2.87705i
\(69\) 5.06627 + 0.209150i 0.609908 + 0.0251788i
\(70\) −3.43595 1.98374i −0.410674 0.237103i
\(71\) 7.73670i 0.918177i −0.888391 0.459088i \(-0.848176\pi\)
0.888391 0.459088i \(-0.151824\pi\)
\(72\) −18.9912 + 8.96574i −2.23813 + 1.05662i
\(73\) 14.7204i 1.72289i −0.507853 0.861443i \(-0.669561\pi\)
0.507853 0.861443i \(-0.330439\pi\)
\(74\) −4.44221 + 7.69413i −0.516396 + 0.894424i
\(75\) 0.803417 + 1.53445i 0.0927706 + 0.177182i
\(76\) −18.8246 + 10.8684i −2.15933 + 1.24669i
\(77\) −0.192411 0.333266i −0.0219273 0.0379792i
\(78\) 8.34466 + 13.8496i 0.944847 + 1.56816i
\(79\) 6.91417 11.9757i 0.777905 1.34737i −0.155243 0.987876i \(-0.549616\pi\)
0.933147 0.359494i \(-0.117051\pi\)
\(80\) 8.71765i 0.974663i
\(81\) −5.71937 + 6.94902i −0.635485 + 0.772113i
\(82\) −22.3072 −2.46341
\(83\) 11.8235 + 6.82628i 1.29779 + 0.749281i 0.980023 0.198886i \(-0.0637325\pi\)
0.317771 + 0.948168i \(0.397066\pi\)
\(84\) 10.5450 + 6.68274i 1.15055 + 0.729147i
\(85\) 5.04381 2.91205i 0.547078 0.315856i
\(86\) −13.3337 + 7.69821i −1.43781 + 0.830120i
\(87\) 3.41775 + 6.52756i 0.366422 + 0.699828i
\(88\) 0.879014 1.52250i 0.0937032 0.162299i
\(89\) 5.99700i 0.635681i 0.948144 + 0.317840i \(0.102958\pi\)
−0.948144 + 0.317840i \(0.897042\pi\)
\(90\) −3.31606 7.02406i −0.349543 0.740401i
\(91\) 2.47094 4.94162i 0.259025 0.518023i
\(92\) 6.88510 11.9254i 0.717822 1.24330i
\(93\) −0.00578304 + 0.140083i −0.000599673 + 0.0145259i
\(94\) 5.93783 + 10.2846i 0.612440 + 1.06078i
\(95\) −2.31058 4.00205i −0.237061 0.410601i
\(96\) −0.612310 + 14.8320i −0.0624936 + 1.51379i
\(97\) −7.77220 4.48728i −0.789147 0.455615i 0.0505148 0.998723i \(-0.483914\pi\)
−0.839662 + 0.543109i \(0.817247\pi\)
\(98\) 12.0445i 1.21668i
\(99\) 0.0620991 0.750835i 0.00624120 0.0754618i
\(100\) 4.70373 0.470373
\(101\) −7.62086 + 13.1997i −0.758304 + 1.31342i 0.185411 + 0.982661i \(0.440638\pi\)
−0.943715 + 0.330760i \(0.892695\pi\)
\(102\) −23.1386 + 12.1151i −2.29107 + 1.19957i
\(103\) 6.31314 + 10.9347i 0.622052 + 1.07743i 0.989103 + 0.147225i \(0.0470341\pi\)
−0.367051 + 0.930201i \(0.619633\pi\)
\(104\) 25.1950 1.51175i 2.47057 0.148239i
\(105\) −1.42073 + 2.24183i −0.138649 + 0.218780i
\(106\) −13.1419 7.58745i −1.27645 0.736958i
\(107\) 10.0878 0.975228 0.487614 0.873059i \(-0.337867\pi\)
0.487614 + 0.873059i \(0.337867\pi\)
\(108\) 9.51385 + 22.5137i 0.915471 + 2.16638i
\(109\) 17.0654i 1.63457i −0.576237 0.817283i \(-0.695479\pi\)
0.576237 0.817283i \(-0.304521\pi\)
\(110\) 0.563109 + 0.325111i 0.0536904 + 0.0309981i
\(111\) 5.02013 + 3.18145i 0.476490 + 0.301970i
\(112\) 11.5688 6.67924i 1.09315 0.631128i
\(113\) −9.18733 15.9129i −0.864271 1.49696i −0.867769 0.496968i \(-0.834447\pi\)
0.00349768 0.999994i \(-0.498887\pi\)
\(114\) 9.61282 + 18.3595i 0.900323 + 1.71953i
\(115\) 2.53529 + 1.46375i 0.236417 + 0.136496i
\(116\) 20.0098 1.85786
\(117\) 9.48726 5.19537i 0.877098 0.480312i
\(118\) 22.1394 2.03810
\(119\) 7.72887 + 4.46227i 0.708505 + 0.409055i
\(120\) −12.1147 0.500131i −1.10592 0.0456555i
\(121\) −5.46847 9.47166i −0.497133 0.861060i
\(122\) 1.09150 0.630176i 0.0988194 0.0570534i
\(123\) −0.615527 + 14.9100i −0.0555002 + 1.34439i
\(124\) 0.329738 + 0.190374i 0.0296113 + 0.0170961i
\(125\) 1.00000i 0.0894427i
\(126\) 6.78061 9.78223i 0.604065 0.871471i
\(127\) 12.2344 1.08563 0.542814 0.839853i \(-0.317359\pi\)
0.542814 + 0.839853i \(0.317359\pi\)
\(128\) −4.18205 2.41451i −0.369644 0.213414i
\(129\) 4.77752 + 9.12458i 0.420637 + 0.803374i
\(130\) 0.559134 + 9.31858i 0.0490393 + 0.817293i
\(131\) −9.34357 16.1835i −0.816352 1.41396i −0.908353 0.418204i \(-0.862660\pi\)
0.0920018 0.995759i \(-0.470673\pi\)
\(132\) −1.72819 1.09522i −0.150420 0.0953266i
\(133\) 3.54062 6.13253i 0.307010 0.531758i
\(134\) −10.6656 −0.921368
\(135\) −4.78634 + 2.02262i −0.411942 + 0.174079i
\(136\) 40.7709i 3.49608i
\(137\) 15.5124 + 8.95606i 1.32531 + 0.765168i 0.984570 0.174990i \(-0.0559892\pi\)
0.340740 + 0.940158i \(0.389323\pi\)
\(138\) −11.0892 7.02766i −0.943977 0.598234i
\(139\) −3.43047 5.94174i −0.290968 0.503972i 0.683071 0.730352i \(-0.260644\pi\)
−0.974039 + 0.226380i \(0.927311\pi\)
\(140\) 3.60388 + 6.24210i 0.304583 + 0.527554i
\(141\) 7.03802 3.68502i 0.592708 0.310335i
\(142\) −10.0158 + 17.3478i −0.840504 + 1.45580i
\(143\) −0.404957 + 0.809871i −0.0338642 + 0.0677248i
\(144\) 26.0640 + 2.15567i 2.17200 + 0.179639i
\(145\) 4.25402i 0.353277i
\(146\) −19.0567 + 33.0071i −1.57714 + 2.73169i
\(147\) 8.05049 + 0.332348i 0.663993 + 0.0274116i
\(148\) 13.9780 8.07018i 1.14898 0.663365i
\(149\) 3.46820 2.00237i 0.284126 0.164040i −0.351164 0.936314i \(-0.614214\pi\)
0.635290 + 0.772274i \(0.280881\pi\)
\(150\) 0.184978 4.48074i 0.0151034 0.365850i
\(151\) 9.72850 + 5.61675i 0.791694 + 0.457085i 0.840559 0.541721i \(-0.182227\pi\)
−0.0488647 + 0.998805i \(0.515560\pi\)
\(152\) 32.3500 2.62393
\(153\) 7.45920 + 15.8000i 0.603040 + 1.27736i
\(154\) 0.996367i 0.0802895i
\(155\) −0.0404730 + 0.0701012i −0.00325087 + 0.00563067i
\(156\) −0.548417 29.3697i −0.0439085 2.35146i
\(157\) −7.82349 13.5507i −0.624382 1.08146i −0.988660 0.150171i \(-0.952017\pi\)
0.364278 0.931290i \(-0.381316\pi\)
\(158\) −31.0069 + 17.9019i −2.46678 + 1.42420i
\(159\) −5.43403 + 8.57457i −0.430947 + 0.680008i
\(160\) −4.28529 + 7.42234i −0.338782 + 0.586787i
\(161\) 4.48596i 0.353543i
\(162\) 21.8204 8.17745i 1.71438 0.642481i
\(163\) 18.8259i 1.47455i 0.675590 + 0.737277i \(0.263889\pi\)
−0.675590 + 0.737277i \(0.736111\pi\)
\(164\) 35.0961 + 20.2628i 2.74055 + 1.58226i
\(165\) 0.232840 0.367408i 0.0181266 0.0286027i
\(166\) −17.6743 30.6128i −1.37179 2.37601i
\(167\) −1.24872 + 0.720951i −0.0966291 + 0.0557889i −0.547536 0.836782i \(-0.684434\pi\)
0.450907 + 0.892571i \(0.351101\pi\)
\(168\) −8.61828 16.4601i −0.664915 1.26992i
\(169\) −12.9067 + 1.55446i −0.992825 + 0.119574i
\(170\) −15.0795 −1.15654
\(171\) 12.5366 5.91855i 0.958701 0.452603i
\(172\) 27.9708 2.13275
\(173\) −8.90952 + 15.4317i −0.677378 + 1.17325i 0.298390 + 0.954444i \(0.403550\pi\)
−0.975768 + 0.218809i \(0.929783\pi\)
\(174\) 0.786900 19.0611i 0.0596547 1.44502i
\(175\) −1.32705 + 0.766174i −0.100316 + 0.0579173i
\(176\) −1.89598 + 1.09464i −0.142915 + 0.0825119i
\(177\) 0.610898 14.7978i 0.0459179 1.11227i
\(178\) 7.76359 13.4469i 0.581905 1.00789i
\(179\) −7.74708 −0.579044 −0.289522 0.957171i \(-0.593496\pi\)
−0.289522 + 0.957171i \(0.593496\pi\)
\(180\) −1.16312 + 14.0632i −0.0866939 + 1.04821i
\(181\) −11.0098 −0.818352 −0.409176 0.912456i \(-0.634184\pi\)
−0.409176 + 0.912456i \(0.634184\pi\)
\(182\) −11.9378 + 7.88165i −0.884892 + 0.584227i
\(183\) −0.391088 0.746938i −0.0289100 0.0552153i
\(184\) −17.7481 + 10.2468i −1.30840 + 0.755407i
\(185\) 1.71570 + 2.97167i 0.126140 + 0.218482i
\(186\) 0.194316 0.306618i 0.0142479 0.0224824i
\(187\) −1.26667 0.731310i −0.0926278 0.0534787i
\(188\) 21.5746i 1.57349i
\(189\) −6.35129 4.80204i −0.461988 0.349297i
\(190\) 11.9649i 0.868027i
\(191\) −3.67246 + 6.36090i −0.265730 + 0.460258i −0.967755 0.251895i \(-0.918946\pi\)
0.702024 + 0.712153i \(0.252280\pi\)
\(192\) 4.40889 6.95696i 0.318185 0.502076i
\(193\) −20.0363 + 11.5680i −1.44225 + 0.832682i −0.997999 0.0632223i \(-0.979862\pi\)
−0.444248 + 0.895904i \(0.646529\pi\)
\(194\) 11.6183 + 20.1235i 0.834144 + 1.44478i
\(195\) 6.24391 0.116592i 0.447136 0.00834932i
\(196\) 10.9407 18.9498i 0.781477 1.35356i
\(197\) 18.5639i 1.32263i −0.750110 0.661313i \(-0.770000\pi\)
0.750110 0.661313i \(-0.230000\pi\)
\(198\) −1.11126 + 1.60319i −0.0789737 + 0.113934i
\(199\) −18.1284 −1.28509 −0.642545 0.766248i \(-0.722122\pi\)
−0.642545 + 0.766248i \(0.722122\pi\)
\(200\) −6.06252 3.50020i −0.428685 0.247501i
\(201\) −0.294299 + 7.12883i −0.0207582 + 0.502829i
\(202\) 34.1761 19.7316i 2.40462 1.38831i
\(203\) −5.64531 + 3.25932i −0.396223 + 0.228760i
\(204\) 47.4091 + 1.95719i 3.31930 + 0.137030i
\(205\) −4.30780 + 7.46133i −0.300870 + 0.521122i
\(206\) 32.6914i 2.27772i
\(207\) −5.00323 + 7.21805i −0.347749 + 0.501689i
\(208\) −28.1133 14.0574i −1.94930 0.974704i
\(209\) −0.580263 + 1.00505i −0.0401376 + 0.0695204i
\(210\) 6.08789 3.18755i 0.420105 0.219962i
\(211\) 8.05803 + 13.9569i 0.554738 + 0.960834i 0.997924 + 0.0644041i \(0.0205147\pi\)
−0.443186 + 0.896429i \(0.646152\pi\)
\(212\) 13.7842 + 23.8749i 0.946700 + 1.63973i
\(213\) 11.3188 + 7.17315i 0.775551 + 0.491496i
\(214\) −22.6197 13.0595i −1.54625 0.892729i
\(215\) 5.94650i 0.405548i
\(216\) 4.49097 36.0968i 0.305572 2.45608i
\(217\) −0.124037 −0.00842020
\(218\) −22.0925 + 38.2653i −1.49629 + 2.59165i
\(219\) 21.5359 + 13.6481i 1.45526 + 0.922255i
\(220\) −0.590631 1.02300i −0.0398203 0.0689709i
\(221\) −1.25772 20.9614i −0.0846037 1.41001i
\(222\) −7.13789 13.6326i −0.479064 0.914963i
\(223\) −2.02651 1.17001i −0.135705 0.0783496i 0.430610 0.902538i \(-0.358298\pi\)
−0.566316 + 0.824188i \(0.691632\pi\)
\(224\) −13.1331 −0.877492
\(225\) −2.98979 0.247276i −0.199319 0.0164851i
\(226\) 47.5749i 3.16463i
\(227\) 19.7498 + 11.4025i 1.31084 + 0.756813i 0.982235 0.187655i \(-0.0600888\pi\)
0.328603 + 0.944468i \(0.393422\pi\)
\(228\) 1.55294 37.6171i 0.102846 2.49125i
\(229\) 17.8529 10.3074i 1.17975 0.681131i 0.223796 0.974636i \(-0.428155\pi\)
0.955957 + 0.293505i \(0.0948218\pi\)
\(230\) −3.78989 6.56427i −0.249898 0.432835i
\(231\) 0.665966 + 0.0274930i 0.0438173 + 0.00180891i
\(232\) −25.7901 14.8899i −1.69320 0.977571i
\(233\) 4.36066 0.285676 0.142838 0.989746i \(-0.454377\pi\)
0.142838 + 0.989746i \(0.454377\pi\)
\(234\) −27.9989 0.632567i −1.83034 0.0413522i
\(235\) 4.58669 0.299202
\(236\) −34.8322 20.1104i −2.26738 1.30907i
\(237\) 11.1099 + 21.2188i 0.721667 + 1.37831i
\(238\) −11.5535 20.0113i −0.748903 1.29714i
\(239\) −1.72247 + 0.994466i −0.111417 + 0.0643267i −0.554673 0.832068i \(-0.687157\pi\)
0.443256 + 0.896395i \(0.353823\pi\)
\(240\) 12.7539 + 8.08265i 0.823263 + 0.521733i
\(241\) −13.5119 7.80107i −0.870375 0.502511i −0.00290222 0.999996i \(-0.500924\pi\)
−0.867473 + 0.497484i \(0.834257\pi\)
\(242\) 28.3174i 1.82031i
\(243\) −4.86366 14.8103i −0.312004 0.950081i
\(244\) −2.28969 −0.146582
\(245\) 4.02867 + 2.32595i 0.257382 + 0.148600i
\(246\) 20.6823 32.6354i 1.31866 2.08076i
\(247\) −16.6319 + 0.997950i −1.05826 + 0.0634981i
\(248\) −0.283327 0.490736i −0.0179913 0.0311618i
\(249\) −20.9491 + 10.9687i −1.32759 + 0.695112i
\(250\) 1.29458 2.24228i 0.0818763 0.141814i
\(251\) −23.8791 −1.50723 −0.753616 0.657314i \(-0.771692\pi\)
−0.753616 + 0.657314i \(0.771692\pi\)
\(252\) −19.5537 + 9.23133i −1.23177 + 0.581519i
\(253\) 0.735193i 0.0462212i
\(254\) −27.4329 15.8384i −1.72130 0.993790i
\(255\) −0.416092 + 10.0790i −0.0260567 + 0.631174i
\(256\) 11.0068 + 19.0643i 0.687925 + 1.19152i
\(257\) −12.8565 22.2681i −0.801966 1.38905i −0.918321 0.395837i \(-0.870454\pi\)
0.116355 0.993208i \(-0.462879\pi\)
\(258\) 1.09997 26.6447i 0.0684812 1.65883i
\(259\) −2.62904 + 4.55364i −0.163361 + 0.282949i
\(260\) 7.58486 15.1689i 0.470393 0.940737i
\(261\) −12.7186 1.05192i −0.787264 0.0651121i
\(262\) 48.3839i 2.98917i
\(263\) 1.96643 3.40595i 0.121255 0.210020i −0.799008 0.601321i \(-0.794641\pi\)
0.920263 + 0.391301i \(0.127975\pi\)
\(264\) 1.41243 + 2.69760i 0.0869290 + 0.166026i
\(265\) −5.07573 + 2.93047i −0.311799 + 0.180017i
\(266\) −15.8781 + 9.16721i −0.973547 + 0.562078i
\(267\) −8.77362 5.56018i −0.536937 0.340277i
\(268\) 16.7803 + 9.68813i 1.02502 + 0.591797i
\(269\) 1.82163 0.111067 0.0555335 0.998457i \(-0.482314\pi\)
0.0555335 + 0.998457i \(0.482314\pi\)
\(270\) 13.3507 + 1.66102i 0.812499 + 0.101087i
\(271\) 6.93268i 0.421130i −0.977580 0.210565i \(-0.932470\pi\)
0.977580 0.210565i \(-0.0675304\pi\)
\(272\) 25.3862 43.9702i 1.53926 2.66608i
\(273\) 4.93864 + 8.19666i 0.298900 + 0.496085i
\(274\) −23.1887 40.1639i −1.40088 2.42639i
\(275\) 0.217487 0.125566i 0.0131150 0.00757194i
\(276\) 11.0632 + 21.1296i 0.665927 + 1.27185i
\(277\) 3.31544 5.74252i 0.199206 0.345035i −0.749065 0.662496i \(-0.769497\pi\)
0.948271 + 0.317462i \(0.102830\pi\)
\(278\) 17.7640i 1.06542i
\(279\) −0.199580 0.138340i −0.0119485 0.00828220i
\(280\) 10.7270i 0.641063i
\(281\) −2.96123 1.70967i −0.176652 0.101990i 0.409067 0.912505i \(-0.365854\pi\)
−0.585719 + 0.810514i \(0.699188\pi\)
\(282\) −20.5517 0.848435i −1.22384 0.0505236i
\(283\) 6.29682 + 10.9064i 0.374307 + 0.648319i 0.990223 0.139493i \(-0.0445472\pi\)
−0.615916 + 0.787812i \(0.711214\pi\)
\(284\) 31.5158 18.1957i 1.87012 1.07971i
\(285\) 7.99728 + 0.330151i 0.473718 + 0.0195565i
\(286\) 1.95647 1.29171i 0.115688 0.0763801i
\(287\) −13.2021 −0.779296
\(288\) −21.1316 14.6475i −1.24519 0.863111i
\(289\) 16.9200 0.995297
\(290\) 5.50717 9.53869i 0.323392 0.560131i
\(291\) 13.7710 7.21032i 0.807269 0.422676i
\(292\) 59.9641 34.6203i 3.50914 2.02600i
\(293\) −9.58722 + 5.53518i −0.560091 + 0.323369i −0.753182 0.657812i \(-0.771482\pi\)
0.193091 + 0.981181i \(0.438149\pi\)
\(294\) −17.6212 11.1672i −1.02769 0.651284i
\(295\) 4.27541 7.40522i 0.248924 0.431149i
\(296\) −24.0211 −1.39620
\(297\) 1.04090 + 0.786995i 0.0603990 + 0.0456661i
\(298\) −10.3689 −0.600654
\(299\) 8.80862 5.81566i 0.509416 0.336328i
\(300\) −4.36111 + 6.88157i −0.251789 + 0.397308i
\(301\) −7.89132 + 4.55605i −0.454848 + 0.262607i
\(302\) −14.5426 25.1886i −0.836835 1.44944i
\(303\) −12.2455 23.3876i −0.703483 1.34358i
\(304\) −34.8884 20.1428i −2.00099 1.15527i
\(305\) 0.486781i 0.0278730i
\(306\) 3.72880 45.0845i 0.213161 2.57731i
\(307\) 19.6349i 1.12062i −0.828282 0.560311i \(-0.810682\pi\)
0.828282 0.560311i \(-0.189318\pi\)
\(308\) 0.905052 1.56760i 0.0515701 0.0893221i
\(309\) −21.8507 0.902062i −1.24305 0.0513165i
\(310\) 0.181503 0.104791i 0.0103087 0.00595172i
\(311\) 12.4266 + 21.5234i 0.704646 + 1.22048i 0.966819 + 0.255462i \(0.0822275\pi\)
−0.262173 + 0.965021i \(0.584439\pi\)
\(312\) −21.1481 + 38.2619i −1.19727 + 2.16615i
\(313\) −3.52811 + 6.11086i −0.199420 + 0.345406i −0.948341 0.317254i \(-0.897239\pi\)
0.748920 + 0.662660i \(0.230573\pi\)
\(314\) 40.5125i 2.28625i
\(315\) −1.96255 4.15707i −0.110577 0.234224i
\(316\) 65.0448 3.65906
\(317\) −14.5944 8.42610i −0.819705 0.473257i 0.0306094 0.999531i \(-0.490255\pi\)
−0.850315 + 0.526274i \(0.823589\pi\)
\(318\) 23.2851 12.1918i 1.30576 0.683681i
\(319\) 0.925196 0.534162i 0.0518011 0.0299074i
\(320\) 4.11818 2.37763i 0.230213 0.132914i
\(321\) −9.35304 + 14.7585i −0.522036 + 0.823740i
\(322\) 5.80742 10.0588i 0.323635 0.560552i
\(323\) 26.9141i 1.49754i
\(324\) −41.7584 6.95498i −2.31991 0.386388i
\(325\) 3.22487 + 1.61252i 0.178884 + 0.0894465i
\(326\) 24.3715 42.2128i 1.34982 2.33795i
\(327\) 24.9667 + 15.8223i 1.38066 + 0.874977i
\(328\) −30.1563 52.2323i −1.66510 2.88404i
\(329\) 3.51420 + 6.08677i 0.193744 + 0.335575i
\(330\) −0.997731 + 0.522400i −0.0549233 + 0.0287572i
\(331\) −0.449163 0.259324i −0.0246882 0.0142538i 0.487605 0.873064i \(-0.337871\pi\)
−0.512293 + 0.858811i \(0.671204\pi\)
\(332\) 64.2180i 3.52442i
\(333\) −9.30893 + 4.39475i −0.510126 + 0.240831i
\(334\) 3.73331 0.204278
\(335\) −2.05967 + 3.56745i −0.112532 + 0.194911i
\(336\) −0.954372 + 23.1179i −0.0520653 + 1.26118i
\(337\) 5.46348 + 9.46302i 0.297615 + 0.515484i 0.975590 0.219601i \(-0.0704756\pi\)
−0.677975 + 0.735085i \(0.737142\pi\)
\(338\) 30.9528 + 13.2233i 1.68361 + 0.719250i
\(339\) 31.7988 + 1.31275i 1.72707 + 0.0712985i
\(340\) 23.7247 + 13.6975i 1.28666 + 0.742851i
\(341\) 0.0203282 0.00110083
\(342\) −35.7726 2.95864i −1.93436 0.159985i
\(343\) 17.8548i 0.964068i
\(344\) −36.0508 20.8139i −1.94373 1.12221i
\(345\) −4.49210 + 2.35201i −0.241846 + 0.126628i
\(346\) 39.9552 23.0681i 2.14800 1.24015i
\(347\) −5.49528 9.51811i −0.295002 0.510959i 0.679983 0.733228i \(-0.261987\pi\)
−0.974985 + 0.222269i \(0.928654\pi\)
\(348\) −18.5523 + 29.2744i −0.994507 + 1.56927i
\(349\) 15.1753 + 8.76145i 0.812314 + 0.468990i 0.847759 0.530382i \(-0.177951\pi\)
−0.0354448 + 0.999372i \(0.511285\pi\)
\(350\) 3.96749 0.212071
\(351\) −1.19538 + 18.6968i −0.0638049 + 0.997962i
\(352\) 2.15235 0.114721
\(353\) −1.03596 0.598114i −0.0551388 0.0318344i 0.472177 0.881504i \(-0.343468\pi\)
−0.527316 + 0.849669i \(0.676802\pi\)
\(354\) −20.5268 + 32.3900i −1.09098 + 1.72151i
\(355\) 3.86835 + 6.70017i 0.205311 + 0.355608i
\(356\) −24.4291 + 14.1041i −1.29474 + 0.747518i
\(357\) −13.6942 + 7.17012i −0.724774 + 0.379483i
\(358\) 17.3711 + 10.0292i 0.918091 + 0.530060i
\(359\) 25.1795i 1.32892i 0.747323 + 0.664461i \(0.231339\pi\)
−0.747323 + 0.664461i \(0.768661\pi\)
\(360\) 11.9640 17.2602i 0.630557 0.909690i
\(361\) −2.35517 −0.123956
\(362\) 24.6870 + 14.2530i 1.29752 + 0.749123i
\(363\) 18.9272 + 0.781370i 0.993420 + 0.0410113i
\(364\) 25.9413 1.55653i 1.35969 0.0815844i
\(365\) 7.36018 + 12.7482i 0.385249 + 0.667271i
\(366\) −0.0900436 + 2.18114i −0.00470665 + 0.114010i
\(367\) 3.12159 5.40676i 0.162946 0.282231i −0.772978 0.634433i \(-0.781234\pi\)
0.935924 + 0.352202i \(0.114567\pi\)
\(368\) 25.5210 1.33037
\(369\) −21.2426 14.7244i −1.10585 0.766524i
\(370\) 8.88441i 0.461879i
\(371\) −7.77778 4.49050i −0.403802 0.233135i
\(372\) −0.584237 + 0.305899i −0.0302913 + 0.0158601i
\(373\) 2.01976 + 3.49832i 0.104579 + 0.181136i 0.913566 0.406690i \(-0.133317\pi\)
−0.808987 + 0.587826i \(0.799984\pi\)
\(374\) 1.89348 + 3.27960i 0.0979094 + 0.169584i
\(375\) −1.46300 0.927160i −0.0755491 0.0478783i
\(376\) −16.0543 + 27.8069i −0.827937 + 1.43403i
\(377\) 13.7187 + 6.85969i 0.706547 + 0.353292i
\(378\) 8.02471 + 18.9897i 0.412747 + 0.976727i
\(379\) 17.1896i 0.882968i −0.897269 0.441484i \(-0.854452\pi\)
0.897269 0.441484i \(-0.145548\pi\)
\(380\) 10.8684 18.8246i 0.557535 0.965680i
\(381\) −11.3433 + 17.8990i −0.581133 + 0.916992i
\(382\) 16.4694 9.50859i 0.842646 0.486502i
\(383\) 14.0860 8.13254i 0.719760 0.415554i −0.0949045 0.995486i \(-0.530255\pi\)
0.814664 + 0.579933i \(0.196921\pi\)
\(384\) 7.40986 3.87971i 0.378133 0.197986i
\(385\) 0.333266 + 0.192411i 0.0169848 + 0.00980620i
\(386\) 59.9027 3.04896
\(387\) −17.7788 1.47043i −0.903747 0.0747460i
\(388\) 42.2140i 2.14309i
\(389\) −0.558513 + 0.967373i −0.0283178 + 0.0490478i −0.879837 0.475276i \(-0.842348\pi\)
0.851519 + 0.524323i \(0.175682\pi\)
\(390\) −14.1515 7.82180i −0.716589 0.396072i
\(391\) 8.52503 + 14.7658i 0.431129 + 0.746738i
\(392\) −28.2023 + 16.2826i −1.42443 + 0.822395i
\(393\) 32.3395 + 1.33507i 1.63131 + 0.0673454i
\(394\) −24.0325 + 41.6255i −1.21074 + 2.09706i
\(395\) 13.8283i 0.695779i
\(396\) 3.20462 1.51290i 0.161038 0.0760261i
\(397\) 32.1786i 1.61500i −0.589870 0.807498i \(-0.700821\pi\)
0.589870 0.807498i \(-0.299179\pi\)
\(398\) 40.6490 + 23.4687i 2.03755 + 1.17638i
\(399\) 5.68918 + 10.8658i 0.284815 + 0.543969i
\(400\) 4.35882 + 7.54970i 0.217941 + 0.377485i
\(401\) 5.36232 3.09594i 0.267781 0.154604i −0.360098 0.932915i \(-0.617257\pi\)
0.627879 + 0.778311i \(0.283923\pi\)
\(402\) 9.88872 15.6038i 0.493205 0.778247i
\(403\) 0.160804 + 0.243560i 0.00801021 + 0.0121326i
\(404\) −71.6930 −3.56686
\(405\) 1.47861 8.87771i 0.0734726 0.441137i
\(406\) 16.8778 0.837631
\(407\) 0.430868 0.746285i 0.0213573 0.0369920i
\(408\) −59.6479 37.8012i −2.95301 1.87144i
\(409\) −0.385766 + 0.222722i −0.0190749 + 0.0110129i −0.509507 0.860466i \(-0.670172\pi\)
0.490432 + 0.871479i \(0.336839\pi\)
\(410\) 19.3186 11.1536i 0.954076 0.550836i
\(411\) −27.4852 + 14.3909i −1.35574 + 0.709851i
\(412\) −29.6953 + 51.4338i −1.46298 + 2.53396i
\(413\) 13.1028 0.644747
\(414\) 20.5630 9.70778i 1.01061 0.477111i
\(415\) −13.6526 −0.670177
\(416\) 17.0260 + 25.7881i 0.834766 + 1.26437i
\(417\) 11.8734 + 0.490167i 0.581441 + 0.0240036i
\(418\) 2.60222 1.50239i 0.127279 0.0734844i
\(419\) −6.21374 10.7625i −0.303561 0.525783i 0.673379 0.739298i \(-0.264842\pi\)
−0.976940 + 0.213514i \(0.931509\pi\)
\(420\) −12.4736 0.514946i −0.608648 0.0251268i
\(421\) −32.6433 18.8466i −1.59094 0.918527i −0.993147 0.116873i \(-0.962713\pi\)
−0.597788 0.801654i \(-0.703954\pi\)
\(422\) 41.7270i 2.03124i
\(423\) −1.13418 + 13.7132i −0.0551456 + 0.666760i
\(424\) 41.0289i 1.99254i
\(425\) −2.91205 + 5.04381i −0.141255 + 0.244661i
\(426\) −16.0937 30.7373i −0.779740 1.48923i
\(427\) 0.645983 0.372959i 0.0312613 0.0180487i
\(428\) 23.7252 + 41.0933i 1.14680 + 1.98632i
\(429\) −0.809383 1.34333i −0.0390774 0.0648567i
\(430\) 7.69821 13.3337i 0.371241 0.643008i
\(431\) 15.3244i 0.738151i −0.929399 0.369075i \(-0.879674\pi\)
0.929399 0.369075i \(-0.120326\pi\)
\(432\) −27.3192 + 36.1330i −1.31440 + 1.73845i
\(433\) −26.4169 −1.26951 −0.634757 0.772712i \(-0.718900\pi\)
−0.634757 + 0.772712i \(0.718900\pi\)
\(434\) 0.278126 + 0.160576i 0.0133505 + 0.00770790i
\(435\) −6.22364 3.94416i −0.298401 0.189108i
\(436\) 69.5167 40.1355i 3.32925 1.92214i
\(437\) 11.7160 6.76424i 0.560453 0.323578i
\(438\) −30.6209 58.4828i −1.46312 2.79441i
\(439\) 2.01559 3.49110i 0.0961987 0.166621i −0.813910 0.580992i \(-0.802665\pi\)
0.910108 + 0.414371i \(0.135998\pi\)
\(440\) 1.75803i 0.0838107i
\(441\) −7.95031 + 11.4697i −0.378586 + 0.546178i
\(442\) −24.3160 + 48.6294i −1.15659 + 2.31306i
\(443\) −1.84594 + 3.19726i −0.0877033 + 0.151907i −0.906540 0.422120i \(-0.861286\pi\)
0.818837 + 0.574027i \(0.194619\pi\)
\(444\) −1.15312 + 27.9321i −0.0547246 + 1.32560i
\(445\) −2.99850 5.19355i −0.142143 0.246198i
\(446\) 3.02934 + 5.24696i 0.143443 + 0.248451i
\(447\) −0.286111 + 6.93050i −0.0135326 + 0.327802i
\(448\) 6.31049 + 3.64336i 0.298143 + 0.172133i
\(449\) 12.2525i 0.578233i −0.957294 0.289116i \(-0.906639\pi\)
0.957294 0.289116i \(-0.0933614\pi\)
\(450\) 6.38382 + 4.42498i 0.300936 + 0.208596i
\(451\) 2.16366 0.101883
\(452\) 43.2148 74.8502i 2.03265 3.52066i
\(453\) −17.2372 + 9.02518i −0.809874 + 0.424040i
\(454\) −29.5229 51.1352i −1.38558 2.39990i
\(455\) 0.330914 + 5.51504i 0.0155135 + 0.258549i
\(456\) −29.9936 + 47.3281i −1.40458 + 2.21634i
\(457\) 10.8822 + 6.28285i 0.509049 + 0.293899i 0.732443 0.680829i \(-0.238380\pi\)
−0.223394 + 0.974728i \(0.571714\pi\)
\(458\) −53.3748 −2.49404
\(459\) −30.0313 3.73633i −1.40174 0.174397i
\(460\) 13.7702i 0.642039i
\(461\) −2.95803 1.70782i −0.137769 0.0795411i 0.429531 0.903052i \(-0.358679\pi\)
−0.567300 + 0.823511i \(0.692012\pi\)
\(462\) −1.45769 0.923792i −0.0678177 0.0429787i
\(463\) −31.1460 + 17.9821i −1.44748 + 0.835700i −0.998331 0.0577589i \(-0.981605\pi\)
−0.449145 + 0.893459i \(0.648271\pi\)
\(464\) 18.5425 + 32.1166i 0.860816 + 1.49098i
\(465\) −0.0650333 0.124207i −0.00301585 0.00575997i
\(466\) −9.77780 5.64521i −0.452948 0.261510i
\(467\) 31.3646 1.45138 0.725690 0.688021i \(-0.241521\pi\)
0.725690 + 0.688021i \(0.241521\pi\)
\(468\) 43.4764 + 26.4281i 2.00970 + 1.22164i
\(469\) −6.31225 −0.291473
\(470\) −10.2846 5.93783i −0.474394 0.273891i
\(471\) 27.0783 + 1.11787i 1.24770 + 0.0515088i
\(472\) 29.9295 + 51.8394i 1.37762 + 2.38610i
\(473\) 1.29329 0.746681i 0.0594655 0.0343324i
\(474\) 2.55794 61.9611i 0.117490 2.84597i
\(475\) 4.00205 + 2.31058i 0.183626 + 0.106017i
\(476\) 41.9786i 1.92409i
\(477\) −7.50639 15.9000i −0.343694 0.728011i
\(478\) 5.14966 0.235540
\(479\) −12.6025 7.27608i −0.575825 0.332453i 0.183647 0.982992i \(-0.441210\pi\)
−0.759472 + 0.650539i \(0.774543\pi\)
\(480\) −6.88574 13.1511i −0.314290 0.600262i
\(481\) 12.3498 0.741016i 0.563105 0.0337874i
\(482\) 20.1982 + 34.9843i 0.920003 + 1.59349i
\(483\) −6.56296 4.15920i −0.298625 0.189250i
\(484\) 25.7222 44.5522i 1.16919 2.02510i
\(485\) 8.97457 0.407514
\(486\) −8.26743 + 39.5052i −0.375018 + 1.79199i
\(487\) 2.00734i 0.0909611i 0.998965 + 0.0454806i \(0.0144819\pi\)
−0.998965 + 0.0454806i \(0.985518\pi\)
\(488\) 2.95112 + 1.70383i 0.133591 + 0.0771287i
\(489\) −27.5423 17.4546i −1.24550 0.789323i
\(490\) −6.02226 10.4309i −0.272058 0.471218i
\(491\) −7.46424 12.9284i −0.336856 0.583452i 0.646983 0.762504i \(-0.276030\pi\)
−0.983840 + 0.179052i \(0.942697\pi\)
\(492\) −62.1842 + 32.5589i −2.80348 + 1.46787i
\(493\) −12.3879 + 21.4565i −0.557923 + 0.966351i
\(494\) 38.5853 + 19.2937i 1.73604 + 0.868063i
\(495\) 0.321638 + 0.681292i 0.0144566 + 0.0306218i
\(496\) 0.705658i 0.0316850i
\(497\) −5.92765 + 10.2670i −0.265892 + 0.460538i
\(498\) 61.1735 + 2.52542i 2.74125 + 0.113167i
\(499\) 24.9042 14.3784i 1.11486 0.643667i 0.174779 0.984608i \(-0.444079\pi\)
0.940085 + 0.340940i \(0.110745\pi\)
\(500\) −4.07355 + 2.35187i −0.182175 + 0.105179i
\(501\) 0.103014 2.49532i 0.00460233 0.111483i
\(502\) 53.5434 + 30.9133i 2.38976 + 1.37973i
\(503\) 42.5805 1.89857 0.949285 0.314416i \(-0.101809\pi\)
0.949285 + 0.314416i \(0.101809\pi\)
\(504\) 32.0716 + 2.65254i 1.42858 + 0.118153i
\(505\) 15.2417i 0.678248i
\(506\) −0.951765 + 1.64851i −0.0423111 + 0.0732850i
\(507\) 9.69243 20.3238i 0.430456 0.902612i
\(508\) 28.7737 + 49.8375i 1.27663 + 2.21118i
\(509\) −20.7332 + 11.9703i −0.918984 + 0.530576i −0.883311 0.468788i \(-0.844691\pi\)
−0.0356735 + 0.999363i \(0.511358\pi\)
\(510\) 13.9811 22.0613i 0.619093 0.976892i
\(511\) −11.2784 + 19.5347i −0.498925 + 0.864163i
\(512\) 47.3387i 2.09209i
\(513\) −2.96462 + 23.8286i −0.130891 + 1.05206i
\(514\) 66.5749i 2.93649i
\(515\) −10.9347 6.31314i −0.481839 0.278190i
\(516\) −25.9334 + 40.9213i −1.14165 + 1.80146i
\(517\) −0.575934 0.997547i −0.0253295 0.0438721i
\(518\) 11.7901 6.80701i 0.518026 0.299083i
\(519\) −14.3161 27.3423i −0.628407 1.20019i
\(520\) −21.0636 + 13.9067i −0.923700 + 0.609849i
\(521\) −15.4433 −0.676583 −0.338292 0.941041i \(-0.609849\pi\)
−0.338292 + 0.941041i \(0.609849\pi\)
\(522\) 27.1569 + 18.8240i 1.18863 + 0.823903i
\(523\) −7.64335 −0.334220 −0.167110 0.985938i \(-0.553444\pi\)
−0.167110 + 0.985938i \(0.553444\pi\)
\(524\) 43.9497 76.1231i 1.91995 3.32545i
\(525\) 0.109476 2.65185i 0.00477792 0.115736i
\(526\) −8.81855 + 5.09139i −0.384507 + 0.221995i
\(527\) −0.408276 + 0.235718i −0.0177848 + 0.0102680i
\(528\) 0.156410 3.78873i 0.00680686 0.164883i
\(529\) 7.21486 12.4965i 0.313689 0.543326i
\(530\) 15.1749 0.659156
\(531\) 21.0829 + 14.6137i 0.914918 + 0.634181i
\(532\) 33.3082 1.44410
\(533\) 17.1154 + 25.9236i 0.741351 + 1.12288i
\(534\) 12.4748 + 23.8256i 0.539837 + 1.03103i
\(535\) −8.73632 + 5.04392i −0.377704 + 0.218068i
\(536\) −14.4185 24.9735i −0.622784 1.07869i
\(537\) 7.18278 11.3340i 0.309960 0.489098i
\(538\) −4.08461 2.35825i −0.176100 0.101671i
\(539\) 1.16825i 0.0503200i
\(540\) −19.4961 14.7405i −0.838977 0.634329i
\(541\) 14.2204i 0.611384i 0.952130 + 0.305692i \(0.0988879\pi\)
−0.952130 + 0.305692i \(0.901112\pi\)
\(542\) −8.97489 + 15.5450i −0.385505 + 0.667714i
\(543\) 10.2078 16.1073i 0.438060 0.691232i
\(544\) −43.2284 + 24.9579i −1.85340 + 1.07006i
\(545\) 8.53268 + 14.7790i 0.365500 + 0.633065i
\(546\) −0.462577 24.7726i −0.0197965 1.06017i
\(547\) −7.46291 + 12.9261i −0.319091 + 0.552682i −0.980299 0.197521i \(-0.936711\pi\)
0.661208 + 0.750203i \(0.270044\pi\)
\(548\) 84.2539i 3.59915i
\(549\) 1.45537 + 0.120369i 0.0621138 + 0.00513723i
\(550\) −0.650222 −0.0277256
\(551\) 17.0248 + 9.82927i 0.725281 + 0.418741i
\(552\) 1.46414 35.4659i 0.0623178 1.50953i
\(553\) −18.3509 + 10.5949i −0.780361 + 0.450542i
\(554\) −14.8683 + 8.58421i −0.631693 + 0.364708i
\(555\) −5.93829 0.245150i −0.252066 0.0104060i
\(556\) 16.1360 27.9484i 0.684319 1.18527i
\(557\) 12.4593i 0.527919i 0.964534 + 0.263959i \(0.0850285\pi\)
−0.964534 + 0.263959i \(0.914972\pi\)
\(558\) 0.268421 + 0.568569i 0.0113632 + 0.0240694i
\(559\) 19.1767 + 9.58885i 0.811088 + 0.405565i
\(560\) −6.67924 + 11.5688i −0.282249 + 0.488870i
\(561\) 2.24431 1.17509i 0.0947549 0.0496125i
\(562\) 4.42660 + 7.66710i 0.186725 + 0.323417i
\(563\) −3.69857 6.40611i −0.155876 0.269985i 0.777502 0.628881i \(-0.216487\pi\)
−0.933378 + 0.358896i \(0.883153\pi\)
\(564\) 31.5636 + 20.0031i 1.32907 + 0.842281i
\(565\) 15.9129 + 9.18733i 0.669462 + 0.386514i
\(566\) 32.6069i 1.37057i
\(567\) 12.9141 4.83968i 0.542339 0.203247i
\(568\) −54.1599 −2.27250
\(569\) 15.2090 26.3427i 0.637593 1.10434i −0.348367 0.937358i \(-0.613264\pi\)
0.985959 0.166985i \(-0.0534031\pi\)
\(570\) −17.5047 11.0934i −0.733191 0.464651i
\(571\) −7.37664 12.7767i −0.308703 0.534689i 0.669376 0.742924i \(-0.266561\pi\)
−0.978079 + 0.208235i \(0.933228\pi\)
\(572\) −4.25146 + 0.255096i −0.177762 + 0.0106661i
\(573\) −5.90104 11.2704i −0.246519 0.470827i
\(574\) 29.6028 + 17.0912i 1.23560 + 0.713371i
\(575\) −2.92751 −0.122085
\(576\) 6.09030 + 12.9004i 0.253763 + 0.537518i
\(577\) 27.6196i 1.14982i −0.818218 0.574909i \(-0.805038\pi\)
0.818218 0.574909i \(-0.194962\pi\)
\(578\) −37.9394 21.9043i −1.57807 0.911100i
\(579\) 1.65291 40.0386i 0.0686925 1.66395i
\(580\) −17.3290 + 10.0049i −0.719547 + 0.415431i
\(581\) −10.4602 18.1177i −0.433963 0.751647i
\(582\) −40.2126 1.66010i −1.66687 0.0688132i
\(583\) 1.27468 + 0.735938i 0.0527919 + 0.0304794i
\(584\) −103.048 −4.26417
\(585\) −5.61853 + 9.24295i −0.232298 + 0.382149i
\(586\) 28.6629 1.18405
\(587\) −29.4387 16.9965i −1.21507 0.701519i −0.251207 0.967933i \(-0.580828\pi\)
−0.963859 + 0.266415i \(0.914161\pi\)
\(588\) 17.5798 + 33.5757i 0.724980 + 1.38464i
\(589\) 0.187032 + 0.323949i 0.00770653 + 0.0133481i
\(590\) −19.1733 + 11.0697i −0.789351 + 0.455732i
\(591\) 27.1591 + 17.2117i 1.11718 + 0.707996i
\(592\) 25.9060 + 14.9568i 1.06473 + 0.614722i
\(593\) 35.6087i 1.46228i −0.682230 0.731138i \(-0.738990\pi\)
0.682230 0.731138i \(-0.261010\pi\)
\(594\) −1.31515 3.11218i −0.0539613 0.127694i
\(595\) −8.92453 −0.365870
\(596\) 16.3135 + 9.41861i 0.668227 + 0.385801i
\(597\) 16.8080 26.5219i 0.687904 1.08547i
\(598\) −27.2802 + 1.63687i −1.11557 + 0.0669365i
\(599\) 2.52548 + 4.37425i 0.103188 + 0.178727i 0.912996 0.407967i \(-0.133762\pi\)
−0.809808 + 0.586694i \(0.800429\pi\)
\(600\) 10.7417 5.62423i 0.438529 0.229608i
\(601\) 11.5025 19.9230i 0.469198 0.812674i −0.530182 0.847884i \(-0.677877\pi\)
0.999380 + 0.0352095i \(0.0112098\pi\)
\(602\) 23.5927 0.961566
\(603\) −10.1566 7.04012i −0.413610 0.286696i
\(604\) 52.8394i 2.15000i
\(605\) 9.47166 + 5.46847i 0.385078 + 0.222325i
\(606\) −2.81938 + 68.2941i −0.114529 + 2.77426i
\(607\) 13.8611 + 24.0081i 0.562604 + 0.974459i 0.997268 + 0.0738660i \(0.0235337\pi\)
−0.434664 + 0.900593i \(0.643133\pi\)
\(608\) 19.8030 + 34.2998i 0.803118 + 1.39104i
\(609\) 0.465713 11.2810i 0.0188716 0.457130i
\(610\) −0.630176 + 1.09150i −0.0255151 + 0.0441934i
\(611\) 7.39612 14.7915i 0.299215 0.598399i
\(612\) −46.8192 + 67.5450i −1.89255 + 2.73034i
\(613\) 17.8934i 0.722707i −0.932429 0.361354i \(-0.882315\pi\)
0.932429 0.361354i \(-0.117685\pi\)
\(614\) −25.4189 + 44.0268i −1.02582 + 1.77678i
\(615\) −6.92192 13.2202i −0.279119 0.533089i
\(616\) −2.33300 + 1.34696i −0.0939991 + 0.0542704i
\(617\) −1.94317 + 1.12189i −0.0782290 + 0.0451655i −0.538604 0.842559i \(-0.681048\pi\)
0.460375 + 0.887724i \(0.347715\pi\)
\(618\) 47.8276 + 30.3102i 1.92391 + 1.21925i
\(619\) −9.25481 5.34327i −0.371982 0.214764i 0.302342 0.953200i \(-0.402232\pi\)
−0.674324 + 0.738436i \(0.735565\pi\)
\(620\) −0.380748 −0.0152912
\(621\) −5.92122 14.0120i −0.237610 0.562283i
\(622\) 64.3487i 2.58015i
\(623\) 4.59474 7.95833i 0.184085 0.318844i
\(624\) 46.6315 28.0963i 1.86675 1.12475i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 15.8220 9.13482i 0.632373 0.365101i
\(627\) −0.932386 1.78076i −0.0372359 0.0711169i
\(628\) 36.7996 63.7388i 1.46846 2.54345i
\(629\) 19.9847i 0.796844i
\(630\) −0.981065 + 11.8620i −0.0390866 + 0.472592i
\(631\) 4.80562i 0.191309i 0.995415 + 0.0956543i \(0.0304943\pi\)
−0.995415 + 0.0956543i \(0.969506\pi\)
\(632\) −83.8345 48.4019i −3.33476 1.92532i
\(633\) −27.8901 1.15138i −1.10853 0.0457634i
\(634\) 21.8165 + 37.7873i 0.866444 + 1.50073i
\(635\) −10.5953 + 6.11721i −0.420462 + 0.242754i
\(636\) −47.7091 1.96957i −1.89179 0.0780985i
\(637\) 13.9972 9.24129i 0.554590 0.366153i
\(638\) −2.76606 −0.109509
\(639\) −20.9887 + 9.90876i −0.830299 + 0.391985i
\(640\) 4.82901 0.190884
\(641\) 6.39364 11.0741i 0.252534 0.437401i −0.711689 0.702495i \(-0.752070\pi\)
0.964223 + 0.265094i \(0.0854029\pi\)
\(642\) 40.0782 20.9844i 1.58176 0.828190i
\(643\) −20.8908 + 12.0613i −0.823855 + 0.475653i −0.851744 0.523958i \(-0.824455\pi\)
0.0278893 + 0.999611i \(0.491121\pi\)
\(644\) −18.2738 + 10.5504i −0.720088 + 0.415743i
\(645\) −8.69974 5.51336i −0.342552 0.217088i
\(646\) −34.8424 + 60.3488i −1.37086 + 2.37439i
\(647\) −20.0819 −0.789500 −0.394750 0.918788i \(-0.629169\pi\)
−0.394750 + 0.918788i \(0.629169\pi\)
\(648\) 48.6459 + 40.0378i 1.91099 + 1.57283i
\(649\) −2.14739 −0.0842924
\(650\) −5.14351 7.79056i −0.201745 0.305571i
\(651\) 0.115002 0.181467i 0.00450730 0.00711225i
\(652\) −76.6881 + 44.2759i −3.00334 + 1.73398i
\(653\) −4.42877 7.67086i −0.173311 0.300184i 0.766264 0.642525i \(-0.222113\pi\)
−0.939576 + 0.342342i \(0.888780\pi\)
\(654\) −35.4989 67.7993i −1.38812 2.65116i
\(655\) 16.1835 + 9.34357i 0.632343 + 0.365084i
\(656\) 75.1078i 2.93247i
\(657\) −39.9345 + 18.8531i −1.55799 + 0.735528i
\(658\) 18.1976i 0.709417i
\(659\) −3.88106 + 6.72219i −0.151185 + 0.261859i −0.931663 0.363323i \(-0.881642\pi\)
0.780479 + 0.625183i \(0.214975\pi\)
\(660\) 2.04427 + 0.0843932i 0.0795729 + 0.00328500i
\(661\) −26.0838 + 15.0595i −1.01454 + 0.585746i −0.912518 0.409036i \(-0.865865\pi\)
−0.102024 + 0.994782i \(0.532532\pi\)
\(662\) 0.671431 + 1.16295i 0.0260959 + 0.0451995i
\(663\) 31.8326 + 17.5945i 1.23628 + 0.683313i
\(664\) 47.7866 82.7688i 1.85448 3.21205i
\(665\) 7.08123i 0.274598i
\(666\) 26.5625 + 2.19690i 1.02928 + 0.0851282i
\(667\) −12.4537 −0.482208
\(668\) −5.87366 3.39116i −0.227259 0.131208i
\(669\) 3.59063 1.88001i 0.138822 0.0726853i
\(670\) 9.23669 5.33280i 0.356844 0.206024i
\(671\) −0.105869 + 0.0611233i −0.00408701 + 0.00235964i
\(672\) 12.1765 19.2138i 0.469718 0.741187i
\(673\) −21.0206 + 36.4087i −0.810284 + 1.40345i 0.102382 + 0.994745i \(0.467354\pi\)
−0.912666 + 0.408707i \(0.865980\pi\)
\(674\) 28.2916i 1.08975i
\(675\) 3.13378 4.14481i 0.120619 0.159534i
\(676\) −36.6871 48.9204i −1.41104 1.88155i
\(677\) 4.68838 8.12051i 0.180189 0.312096i −0.761756 0.647864i \(-0.775662\pi\)
0.941945 + 0.335768i \(0.108996\pi\)
\(678\) −69.6021 44.1095i −2.67305 1.69402i
\(679\) 6.87608 + 11.9097i 0.263880 + 0.457053i
\(680\) −20.3855 35.3087i −0.781747 1.35403i
\(681\) −34.9931 + 18.3220i −1.34094 + 0.702099i
\(682\) −0.0455814 0.0263164i −0.00174540 0.00100771i
\(683\) 44.3711i 1.69781i −0.528543 0.848907i \(-0.677261\pi\)
0.528543 0.848907i \(-0.322739\pi\)
\(684\) 53.5940 + 37.1490i 2.04922 + 1.42043i
\(685\) −17.9121 −0.684387
\(686\) 23.1144 40.0353i 0.882512 1.52856i
\(687\) −1.47279 + 35.6754i −0.0561903 + 1.36110i
\(688\) 25.9198 + 44.8943i 0.988181 + 1.71158i
\(689\) 1.26568 + 21.0940i 0.0482187 + 0.803617i
\(690\) 13.1174 + 0.541523i 0.499370 + 0.0206154i
\(691\) −10.9831 6.34108i −0.417816 0.241226i 0.276326 0.961064i \(-0.410883\pi\)
−0.694142 + 0.719838i \(0.744216\pi\)
\(692\) −83.8160 −3.18621
\(693\) −0.657679 + 0.948819i −0.0249832 + 0.0360426i
\(694\) 28.4563i 1.08019i
\(695\) 5.94174 + 3.43047i 0.225383 + 0.130125i
\(696\) 45.6955 23.9256i 1.73208 0.906898i
\(697\) −43.4555 + 25.0890i −1.64599 + 0.950315i
\(698\) −22.6848 39.2912i −0.858631 1.48719i
\(699\) −4.04303 + 6.37965i −0.152921 + 0.241301i
\(700\) −6.24210 3.60388i −0.235929 0.136214i
\(701\) 12.8109 0.483863 0.241931 0.970293i \(-0.422219\pi\)
0.241931 + 0.970293i \(0.422219\pi\)
\(702\) 26.8849 40.3759i 1.01470 1.52389i
\(703\) 15.8570 0.598059
\(704\) −1.03421 0.597102i −0.0389783 0.0225041i
\(705\) −4.25259 + 6.71033i −0.160162 + 0.252726i
\(706\) 1.54861 + 2.68227i 0.0582828 + 0.100949i
\(707\) 20.2266 11.6778i 0.760698 0.439189i
\(708\) 61.7165 32.3140i 2.31945 1.21444i
\(709\) 27.3071 + 15.7657i 1.02554 + 0.592095i 0.915703 0.401855i \(-0.131634\pi\)
0.109835 + 0.993950i \(0.464968\pi\)
\(710\) 20.0315i 0.751770i
\(711\) −41.3438 3.41942i −1.55052 0.128238i
\(712\) 41.9814 1.57332
\(713\) −0.205222 0.118485i −0.00768561 0.00443729i
\(714\) 39.9885 + 1.65084i 1.49653 + 0.0617812i
\(715\) −0.0542327 0.903847i −0.00202819 0.0338020i
\(716\) −18.2201 31.5581i −0.680917 1.17938i
\(717\) 0.142096 3.44200i 0.00530667 0.128544i
\(718\) 32.5968 56.4593i 1.21650 2.10704i
\(719\) 38.0117 1.41760 0.708798 0.705412i \(-0.249238\pi\)
0.708798 + 0.705412i \(0.249238\pi\)
\(720\) −23.6499 + 11.1651i −0.881379 + 0.416099i
\(721\) 19.3478i 0.720552i
\(722\) 5.28093 + 3.04895i 0.196536 + 0.113470i
\(723\) 23.9406 12.5350i 0.890362 0.466183i
\(724\) −25.8936 44.8490i −0.962327 1.66680i
\(725\) −2.12701 3.68409i −0.0789952 0.136824i
\(726\) −41.4285 26.2548i −1.53755 0.974407i
\(727\) 21.1813 36.6871i 0.785571 1.36065i −0.143087 0.989710i \(-0.545703\pi\)
0.928658 0.370938i \(-0.120964\pi\)
\(728\) −34.5933 17.2976i −1.28211 0.641090i
\(729\) 26.1769 + 6.61597i 0.969514 + 0.245036i
\(730\) 38.1133i 1.41064i
\(731\) −17.3165 + 29.9930i −0.640473 + 1.10933i
\(732\) 2.12291 3.34982i 0.0784649 0.123813i
\(733\) 31.9043 18.4200i 1.17841 0.680358i 0.222767 0.974872i \(-0.428491\pi\)
0.955647 + 0.294514i \(0.0951578\pi\)
\(734\) −13.9989 + 8.08230i −0.516711 + 0.298323i
\(735\) −7.13810 + 3.73742i −0.263293 + 0.137857i
\(736\) −21.7289 12.5452i −0.800939 0.462422i
\(737\) 1.03450 0.0381063
\(738\) 28.5699 + 60.5165i 1.05167 + 2.22764i
\(739\) 32.9682i 1.21275i 0.795178 + 0.606377i \(0.207378\pi\)
−0.795178 + 0.606377i \(0.792622\pi\)
\(740\) −8.07018 + 13.9780i −0.296666 + 0.513840i
\(741\) 13.9605 25.2578i 0.512850 0.927869i
\(742\) 11.6266 + 20.1379i 0.426827 + 0.739285i
\(743\) 36.8114 21.2531i 1.35048 0.779699i 0.362162 0.932115i \(-0.382039\pi\)
0.988316 + 0.152416i \(0.0487055\pi\)
\(744\) 0.980637 + 0.0404835i 0.0359519 + 0.00148420i
\(745\) −2.00237 + 3.46820i −0.0733611 + 0.127065i
\(746\) 10.4589i 0.382929i
\(747\) 3.37595 40.8183i 0.123520 1.49346i
\(748\) 6.87978i 0.251550i
\(749\) −13.3871 7.72904i −0.489153 0.282413i
\(750\) 2.08017 + 3.97292i 0.0759571 + 0.145070i
\(751\) 2.26265 + 3.91903i 0.0825653 + 0.143007i 0.904351 0.426789i \(-0.140355\pi\)
−0.821786 + 0.569796i \(0.807022\pi\)
\(752\) 34.6281 19.9926i 1.26276 0.729054i
\(753\) 22.1397 34.9351i 0.806816 1.27311i
\(754\) −21.8806 33.1412i −0.796845 1.20693i
\(755\) −11.2335 −0.408829
\(756\) 4.62400 37.1661i 0.168173 1.35172i
\(757\) 14.1973 0.516008 0.258004 0.966144i \(-0.416935\pi\)
0.258004 + 0.966144i \(0.416935\pi\)
\(758\) −22.2532 + 38.5437i −0.808274 + 1.39997i
\(759\) 1.07559 + 0.681641i 0.0390414 + 0.0247420i
\(760\) −28.0159 + 16.1750i −1.01624 + 0.586728i
\(761\) −28.0332 + 16.1849i −1.01620 + 0.586704i −0.913001 0.407957i \(-0.866241\pi\)
−0.103200 + 0.994661i \(0.532908\pi\)
\(762\) 48.6063 25.4497i 1.76082 0.921945i
\(763\) −13.0750 + 22.6466i −0.473348 + 0.819863i
\(764\) −34.5486 −1.24992
\(765\) −14.3599 9.95362i −0.519182 0.359874i
\(766\) −42.1129 −1.52160
\(767\) −16.9867 25.7287i −0.613354 0.929009i
\(768\) −38.0962 1.57272i −1.37468 0.0567508i
\(769\) 6.48735 3.74548i 0.233940 0.135065i −0.378448 0.925622i \(-0.623542\pi\)
0.612388 + 0.790557i \(0.290209\pi\)
\(770\) −0.498184 0.862879i −0.0179533 0.0310960i
\(771\) 44.4983 + 1.83702i 1.60257 + 0.0661586i
\(772\) −94.2456 54.4127i −3.39197 1.95836i
\(773\) 9.00636i 0.323936i 0.986796 + 0.161968i \(0.0517842\pi\)
−0.986796 + 0.161968i \(0.948216\pi\)
\(774\) 37.9614 + 26.3132i 1.36449 + 0.945807i