Properties

Label 406.2.e.a.291.1
Level $406$
Weight $2$
Character 406.291
Analytic conductor $3.242$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 406 = 2 \cdot 7 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 406.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.24192632206\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: 10.0.3118758597603.1
Defining polynomial: \( x^{10} - 4x^{8} - 16x^{6} - 34x^{5} + 43x^{4} + 155x^{3} + 199x^{2} + 124x + 43 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 291.1
Root \(-0.359001 - 0.701254i\) of defining polynomial
Character \(\chi\) \(=\) 406.291
Dual form 406.2.e.a.233.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.61748 + 2.80156i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.572197 - 0.991074i) q^{5} +3.23497 q^{6} +(0.469216 - 2.60381i) q^{7} +1.00000 q^{8} +(-3.73251 - 6.46489i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.61748 + 2.80156i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.572197 - 0.991074i) q^{5} +3.23497 q^{6} +(0.469216 - 2.60381i) q^{7} +1.00000 q^{8} +(-3.73251 - 6.46489i) q^{9} +(-0.572197 + 0.991074i) q^{10} +(0.425341 - 0.736713i) q^{11} +(-1.61748 - 2.80156i) q^{12} +3.66136 q^{13} +(-2.48958 + 0.895553i) q^{14} +3.70208 q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.0971241 + 0.168224i) q^{17} +(-3.73251 + 6.46489i) q^{18} +(3.49684 + 6.05671i) q^{19} +1.14439 q^{20} +(6.53580 + 5.52616i) q^{21} -0.850683 q^{22} +(1.73109 + 2.99834i) q^{23} +(-1.61748 + 2.80156i) q^{24} +(1.84518 - 3.19595i) q^{25} +(-1.83068 - 3.17083i) q^{26} +14.4442 q^{27} +(2.02036 + 1.70826i) q^{28} -1.00000 q^{29} +(-1.85104 - 3.20609i) q^{30} +(1.98711 - 3.44178i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(1.37597 + 2.38324i) q^{33} +0.194248 q^{34} +(-2.84905 + 1.02487i) q^{35} +7.46501 q^{36} +(-3.60460 - 6.24335i) q^{37} +(3.49684 - 6.05671i) q^{38} +(-5.92219 + 10.2575i) q^{39} +(-0.572197 - 0.991074i) q^{40} +4.04493 q^{41} +(1.51790 - 8.42325i) q^{42} +9.77788 q^{43} +(0.425341 + 0.736713i) q^{44} +(-4.27146 + 7.39838i) q^{45} +(1.73109 - 2.99834i) q^{46} +(-0.0269105 - 0.0466104i) q^{47} +3.23497 q^{48} +(-6.55967 - 2.44350i) q^{49} -3.69036 q^{50} +(-0.314193 - 0.544199i) q^{51} +(-1.83068 + 3.17083i) q^{52} +(1.33549 - 2.31313i) q^{53} +(-7.22208 - 12.5090i) q^{54} -0.973516 q^{55} +(0.469216 - 2.60381i) q^{56} -22.6244 q^{57} +(0.500000 + 0.866025i) q^{58} +(4.02177 - 6.96591i) q^{59} +(-1.85104 + 3.20609i) q^{60} +(2.54072 + 4.40065i) q^{61} -3.97423 q^{62} +(-18.5847 + 6.68531i) q^{63} +1.00000 q^{64} +(-2.09502 - 3.62868i) q^{65} +(1.37597 - 2.38324i) q^{66} +(5.80013 - 10.0461i) q^{67} +(-0.0971241 - 0.168224i) q^{68} -11.2001 q^{69} +(2.31209 + 1.95492i) q^{70} -11.2825 q^{71} +(-3.73251 - 6.46489i) q^{72} +(3.65539 - 6.33131i) q^{73} +(-3.60460 + 6.24335i) q^{74} +(5.96910 + 10.3388i) q^{75} -6.99369 q^{76} +(-1.71868 - 1.45319i) q^{77} +11.8444 q^{78} +(6.67821 + 11.5670i) q^{79} +(-0.572197 + 0.991074i) q^{80} +(-12.1657 + 21.0716i) q^{81} +(-2.02247 - 3.50301i) q^{82} +9.04564 q^{83} +(-8.05369 + 2.89708i) q^{84} +0.222296 q^{85} +(-4.88894 - 8.46789i) q^{86} +(1.61748 - 2.80156i) q^{87} +(0.425341 - 0.736713i) q^{88} +(-7.11526 - 12.3240i) q^{89} +8.54291 q^{90} +(1.71797 - 9.53349i) q^{91} -3.46219 q^{92} +(6.42825 + 11.1340i) q^{93} +(-0.0269105 + 0.0466104i) q^{94} +(4.00177 - 6.93126i) q^{95} +(-1.61748 - 2.80156i) q^{96} +18.7779 q^{97} +(1.16370 + 6.90259i) q^{98} -6.35036 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - 5 q^{2} - 3 q^{3} - 5 q^{4} - 7 q^{5} + 6 q^{6} - 3 q^{7} + 10 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - 5 q^{2} - 3 q^{3} - 5 q^{4} - 7 q^{5} + 6 q^{6} - 3 q^{7} + 10 q^{8} - 8 q^{9} - 7 q^{10} - 3 q^{12} + 20 q^{13} + 3 q^{14} - 20 q^{15} - 5 q^{16} - 8 q^{17} - 8 q^{18} - 2 q^{19} + 14 q^{20} + 19 q^{21} - q^{23} - 3 q^{24} - 12 q^{25} - 10 q^{26} + 30 q^{27} - 10 q^{29} + 10 q^{30} - 11 q^{31} - 5 q^{32} - 9 q^{33} + 16 q^{34} + 10 q^{35} + 16 q^{36} + 8 q^{37} - 2 q^{38} - 18 q^{39} - 7 q^{40} + 46 q^{41} - 8 q^{42} - 6 q^{43} - 4 q^{45} - q^{46} - 16 q^{47} + 6 q^{48} - 11 q^{49} + 24 q^{50} - 7 q^{51} - 10 q^{52} - 7 q^{53} - 15 q^{54} + 12 q^{55} - 3 q^{56} - 68 q^{57} + 5 q^{58} + 9 q^{59} + 10 q^{60} - 15 q^{61} + 22 q^{62} - 3 q^{63} + 10 q^{64} - 5 q^{65} - 9 q^{66} + 4 q^{67} - 8 q^{68} + 28 q^{69} + 4 q^{70} - 44 q^{71} - 8 q^{72} + 8 q^{74} + 34 q^{75} + 4 q^{76} + 39 q^{77} + 36 q^{78} + 13 q^{79} - 7 q^{80} - 17 q^{81} - 23 q^{82} + 56 q^{83} - 11 q^{84} - 14 q^{85} + 3 q^{86} + 3 q^{87} - 17 q^{89} + 8 q^{90} + 6 q^{91} + 2 q^{92} - 17 q^{93} - 16 q^{94} + 9 q^{95} - 3 q^{96} + 84 q^{97} - 20 q^{98} - 84 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/406\mathbb{Z}\right)^\times\).

\(n\) \(59\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −1.61748 + 2.80156i −0.933854 + 1.61748i −0.157191 + 0.987568i \(0.550244\pi\)
−0.776664 + 0.629915i \(0.783090\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.572197 0.991074i −0.255894 0.443222i 0.709244 0.704963i \(-0.249037\pi\)
−0.965138 + 0.261741i \(0.915703\pi\)
\(6\) 3.23497 1.32067
\(7\) 0.469216 2.60381i 0.177347 0.984148i
\(8\) 1.00000 0.353553
\(9\) −3.73251 6.46489i −1.24417 2.15496i
\(10\) −0.572197 + 0.991074i −0.180945 + 0.313405i
\(11\) 0.425341 0.736713i 0.128245 0.222127i −0.794752 0.606935i \(-0.792399\pi\)
0.922997 + 0.384808i \(0.125732\pi\)
\(12\) −1.61748 2.80156i −0.466927 0.808742i
\(13\) 3.66136 1.01548 0.507739 0.861511i \(-0.330481\pi\)
0.507739 + 0.861511i \(0.330481\pi\)
\(14\) −2.48958 + 0.895553i −0.665367 + 0.239347i
\(15\) 3.70208 0.955872
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.0971241 + 0.168224i −0.0235561 + 0.0408003i −0.877563 0.479461i \(-0.840832\pi\)
0.854007 + 0.520261i \(0.174165\pi\)
\(18\) −3.73251 + 6.46489i −0.879760 + 1.52379i
\(19\) 3.49684 + 6.05671i 0.802231 + 1.38950i 0.918145 + 0.396246i \(0.129687\pi\)
−0.115913 + 0.993259i \(0.536980\pi\)
\(20\) 1.14439 0.255894
\(21\) 6.53580 + 5.52616i 1.42623 + 1.20591i
\(22\) −0.850683 −0.181366
\(23\) 1.73109 + 2.99834i 0.360958 + 0.625197i 0.988119 0.153692i \(-0.0491165\pi\)
−0.627161 + 0.778890i \(0.715783\pi\)
\(24\) −1.61748 + 2.80156i −0.330167 + 0.571867i
\(25\) 1.84518 3.19595i 0.369036 0.639190i
\(26\) −1.83068 3.17083i −0.359026 0.621851i
\(27\) 14.4442 2.77978
\(28\) 2.02036 + 1.70826i 0.381812 + 0.322831i
\(29\) −1.00000 −0.185695
\(30\) −1.85104 3.20609i −0.337952 0.585350i
\(31\) 1.98711 3.44178i 0.356896 0.618162i −0.630544 0.776153i \(-0.717168\pi\)
0.987441 + 0.157991i \(0.0505017\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 1.37597 + 2.38324i 0.239525 + 0.414869i
\(34\) 0.194248 0.0333133
\(35\) −2.84905 + 1.02487i −0.481578 + 0.173234i
\(36\) 7.46501 1.24417
\(37\) −3.60460 6.24335i −0.592592 1.02640i −0.993882 0.110448i \(-0.964771\pi\)
0.401290 0.915951i \(-0.368562\pi\)
\(38\) 3.49684 6.05671i 0.567263 0.982528i
\(39\) −5.92219 + 10.2575i −0.948309 + 1.64252i
\(40\) −0.572197 0.991074i −0.0904723 0.156703i
\(41\) 4.04493 0.631712 0.315856 0.948807i \(-0.397708\pi\)
0.315856 + 0.948807i \(0.397708\pi\)
\(42\) 1.51790 8.42325i 0.234217 1.29973i
\(43\) 9.77788 1.49111 0.745556 0.666443i \(-0.232184\pi\)
0.745556 + 0.666443i \(0.232184\pi\)
\(44\) 0.425341 + 0.736713i 0.0641226 + 0.111064i
\(45\) −4.27146 + 7.39838i −0.636751 + 1.10289i
\(46\) 1.73109 2.99834i 0.255236 0.442081i
\(47\) −0.0269105 0.0466104i −0.00392531 0.00679883i 0.864056 0.503396i \(-0.167916\pi\)
−0.867981 + 0.496597i \(0.834583\pi\)
\(48\) 3.23497 0.466927
\(49\) −6.55967 2.44350i −0.937096 0.349071i
\(50\) −3.69036 −0.521896
\(51\) −0.314193 0.544199i −0.0439958 0.0762030i
\(52\) −1.83068 + 3.17083i −0.253869 + 0.439715i
\(53\) 1.33549 2.31313i 0.183443 0.317733i −0.759608 0.650382i \(-0.774609\pi\)
0.943051 + 0.332649i \(0.107942\pi\)
\(54\) −7.22208 12.5090i −0.982801 1.70226i
\(55\) −0.973516 −0.131269
\(56\) 0.469216 2.60381i 0.0627016 0.347949i
\(57\) −22.6244 −2.99667
\(58\) 0.500000 + 0.866025i 0.0656532 + 0.113715i
\(59\) 4.02177 6.96591i 0.523590 0.906885i −0.476033 0.879427i \(-0.657926\pi\)
0.999623 0.0274571i \(-0.00874096\pi\)
\(60\) −1.85104 + 3.20609i −0.238968 + 0.413905i
\(61\) 2.54072 + 4.40065i 0.325306 + 0.563446i 0.981574 0.191081i \(-0.0611995\pi\)
−0.656268 + 0.754527i \(0.727866\pi\)
\(62\) −3.97423 −0.504727
\(63\) −18.5847 + 6.68531i −2.34145 + 0.842270i
\(64\) 1.00000 0.125000
\(65\) −2.09502 3.62868i −0.259855 0.450082i
\(66\) 1.37597 2.38324i 0.169370 0.293357i
\(67\) 5.80013 10.0461i 0.708599 1.22733i −0.256778 0.966471i \(-0.582661\pi\)
0.965377 0.260859i \(-0.0840059\pi\)
\(68\) −0.0971241 0.168224i −0.0117780 0.0204001i
\(69\) −11.2001 −1.34833
\(70\) 2.31209 + 1.95492i 0.276347 + 0.233658i
\(71\) −11.2825 −1.33898 −0.669492 0.742819i \(-0.733488\pi\)
−0.669492 + 0.742819i \(0.733488\pi\)
\(72\) −3.73251 6.46489i −0.439880 0.761894i
\(73\) 3.65539 6.33131i 0.427830 0.741024i −0.568850 0.822442i \(-0.692611\pi\)
0.996680 + 0.0814175i \(0.0259447\pi\)
\(74\) −3.60460 + 6.24335i −0.419026 + 0.725774i
\(75\) 5.96910 + 10.3388i 0.689252 + 1.19382i
\(76\) −6.99369 −0.802231
\(77\) −1.71868 1.45319i −0.195862 0.165606i
\(78\) 11.8444 1.34111
\(79\) 6.67821 + 11.5670i 0.751357 + 1.30139i 0.947165 + 0.320746i \(0.103934\pi\)
−0.195808 + 0.980642i \(0.562733\pi\)
\(80\) −0.572197 + 0.991074i −0.0639736 + 0.110805i
\(81\) −12.1657 + 21.0716i −1.35174 + 2.34129i
\(82\) −2.02247 3.50301i −0.223344 0.386843i
\(83\) 9.04564 0.992888 0.496444 0.868069i \(-0.334639\pi\)
0.496444 + 0.868069i \(0.334639\pi\)
\(84\) −8.05369 + 2.89708i −0.878730 + 0.316098i
\(85\) 0.222296 0.0241114
\(86\) −4.88894 8.46789i −0.527188 0.913116i
\(87\) 1.61748 2.80156i 0.173412 0.300359i
\(88\) 0.425341 0.736713i 0.0453415 0.0785339i
\(89\) −7.11526 12.3240i −0.754216 1.30634i −0.945763 0.324857i \(-0.894684\pi\)
0.191547 0.981483i \(-0.438650\pi\)
\(90\) 8.54291 0.900502
\(91\) 1.71797 9.53349i 0.180092 0.999381i
\(92\) −3.46219 −0.360958
\(93\) 6.42825 + 11.1340i 0.666578 + 1.15455i
\(94\) −0.0269105 + 0.0466104i −0.00277561 + 0.00480750i
\(95\) 4.00177 6.93126i 0.410573 0.711133i
\(96\) −1.61748 2.80156i −0.165084 0.285933i
\(97\) 18.7779 1.90660 0.953302 0.302017i \(-0.0976601\pi\)
0.953302 + 0.302017i \(0.0976601\pi\)
\(98\) 1.16370 + 6.90259i 0.117552 + 0.697267i
\(99\) −6.35036 −0.638235
\(100\) 1.84518 + 3.19595i 0.184518 + 0.319595i
\(101\) −6.85968 + 11.8813i −0.682564 + 1.18224i 0.291632 + 0.956531i \(0.405802\pi\)
−0.974196 + 0.225705i \(0.927531\pi\)
\(102\) −0.314193 + 0.544199i −0.0311098 + 0.0538837i
\(103\) −0.590573 1.02290i −0.0581909 0.100790i 0.835462 0.549548i \(-0.185200\pi\)
−0.893653 + 0.448758i \(0.851867\pi\)
\(104\) 3.66136 0.359026
\(105\) 1.73707 9.63951i 0.169521 0.940720i
\(106\) −2.67097 −0.259428
\(107\) 0.896121 + 1.55213i 0.0866313 + 0.150050i 0.906085 0.423095i \(-0.139056\pi\)
−0.819454 + 0.573145i \(0.805723\pi\)
\(108\) −7.22208 + 12.5090i −0.694945 + 1.20368i
\(109\) −1.82095 + 3.15397i −0.174415 + 0.302096i −0.939959 0.341288i \(-0.889137\pi\)
0.765544 + 0.643384i \(0.222470\pi\)
\(110\) 0.486758 + 0.843090i 0.0464106 + 0.0803855i
\(111\) 23.3215 2.21358
\(112\) −2.48958 + 0.895553i −0.235243 + 0.0846218i
\(113\) −17.7718 −1.67183 −0.835915 0.548859i \(-0.815063\pi\)
−0.835915 + 0.548859i \(0.815063\pi\)
\(114\) 11.3122 + 19.5933i 1.05948 + 1.83508i
\(115\) 1.98105 3.43128i 0.184734 0.319969i
\(116\) 0.500000 0.866025i 0.0464238 0.0804084i
\(117\) −13.6660 23.6703i −1.26343 2.18832i
\(118\) −8.04354 −0.740468
\(119\) 0.392451 + 0.331826i 0.0359759 + 0.0304185i
\(120\) 3.70208 0.337952
\(121\) 5.13817 + 8.89957i 0.467106 + 0.809052i
\(122\) 2.54072 4.40065i 0.230026 0.398416i
\(123\) −6.54261 + 11.3321i −0.589927 + 1.02178i
\(124\) 1.98711 + 3.44178i 0.178448 + 0.309081i
\(125\) −9.94520 −0.889526
\(126\) 15.0820 + 12.7522i 1.34361 + 1.13605i
\(127\) −11.5789 −1.02746 −0.513732 0.857950i \(-0.671738\pi\)
−0.513732 + 0.857950i \(0.671738\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −15.8156 + 27.3934i −1.39248 + 2.41185i
\(130\) −2.09502 + 3.62868i −0.183745 + 0.318256i
\(131\) 8.09878 + 14.0275i 0.707593 + 1.22559i 0.965747 + 0.259484i \(0.0835524\pi\)
−0.258154 + 0.966104i \(0.583114\pi\)
\(132\) −2.75193 −0.239525
\(133\) 17.4113 6.26322i 1.50975 0.543090i
\(134\) −11.6003 −1.00211
\(135\) −8.26491 14.3152i −0.711330 1.23206i
\(136\) −0.0971241 + 0.168224i −0.00832832 + 0.0144251i
\(137\) 6.39212 11.0715i 0.546116 0.945900i −0.452420 0.891805i \(-0.649439\pi\)
0.998536 0.0540951i \(-0.0172274\pi\)
\(138\) 5.60003 + 9.69954i 0.476706 + 0.825679i
\(139\) 0.170575 0.0144679 0.00723397 0.999974i \(-0.497697\pi\)
0.00723397 + 0.999974i \(0.497697\pi\)
\(140\) 0.536968 2.97979i 0.0453821 0.251838i
\(141\) 0.174109 0.0146627
\(142\) 5.64124 + 9.77091i 0.473402 + 0.819957i
\(143\) 1.55733 2.69737i 0.130230 0.225565i
\(144\) −3.73251 + 6.46489i −0.311042 + 0.538741i
\(145\) 0.572197 + 0.991074i 0.0475184 + 0.0823042i
\(146\) −7.31077 −0.605044
\(147\) 17.4558 14.4250i 1.43973 1.18976i
\(148\) 7.20919 0.592592
\(149\) −7.02198 12.1624i −0.575263 0.996384i −0.996013 0.0892077i \(-0.971567\pi\)
0.420750 0.907176i \(-0.361767\pi\)
\(150\) 5.96910 10.3388i 0.487375 0.844158i
\(151\) −6.09878 + 10.5634i −0.496311 + 0.859636i −0.999991 0.00425408i \(-0.998646\pi\)
0.503680 + 0.863891i \(0.331979\pi\)
\(152\) 3.49684 + 6.05671i 0.283632 + 0.491264i
\(153\) 1.45006 0.117231
\(154\) −0.399154 + 2.21502i −0.0321647 + 0.178491i
\(155\) −4.54808 −0.365311
\(156\) −5.92219 10.2575i −0.474154 0.821259i
\(157\) −7.19485 + 12.4618i −0.574212 + 0.994564i 0.421915 + 0.906635i \(0.361358\pi\)
−0.996127 + 0.0879283i \(0.971975\pi\)
\(158\) 6.67821 11.5670i 0.531290 0.920220i
\(159\) 4.32025 + 7.48290i 0.342618 + 0.593433i
\(160\) 1.14439 0.0904723
\(161\) 8.61937 3.10057i 0.679302 0.244359i
\(162\) 24.3314 1.91165
\(163\) −8.38368 14.5210i −0.656660 1.13737i −0.981475 0.191591i \(-0.938635\pi\)
0.324814 0.945778i \(-0.394698\pi\)
\(164\) −2.02247 + 3.50301i −0.157928 + 0.273539i
\(165\) 1.57465 2.72737i 0.122586 0.212325i
\(166\) −4.52282 7.83376i −0.351039 0.608017i
\(167\) −10.6555 −0.824544 −0.412272 0.911061i \(-0.635265\pi\)
−0.412272 + 0.911061i \(0.635265\pi\)
\(168\) 6.53580 + 5.52616i 0.504248 + 0.426353i
\(169\) 0.405541 0.0311955
\(170\) −0.111148 0.192514i −0.00852468 0.0147652i
\(171\) 26.1040 45.2134i 1.99622 3.45756i
\(172\) −4.88894 + 8.46789i −0.372778 + 0.645671i
\(173\) −8.96254 15.5236i −0.681409 1.18024i −0.974551 0.224167i \(-0.928034\pi\)
0.293141 0.956069i \(-0.405299\pi\)
\(174\) −3.23497 −0.245242
\(175\) −7.45586 6.30409i −0.563610 0.476545i
\(176\) −0.850683 −0.0641226
\(177\) 13.0103 + 22.5345i 0.977914 + 1.69380i
\(178\) −7.11526 + 12.3240i −0.533311 + 0.923722i
\(179\) −2.64460 + 4.58058i −0.197667 + 0.342368i −0.947771 0.318950i \(-0.896670\pi\)
0.750105 + 0.661319i \(0.230003\pi\)
\(180\) −4.27146 7.39838i −0.318376 0.551443i
\(181\) 13.1711 0.978997 0.489498 0.872004i \(-0.337180\pi\)
0.489498 + 0.872004i \(0.337180\pi\)
\(182\) −9.11523 + 3.27894i −0.675665 + 0.243051i
\(183\) −16.4383 −1.21515
\(184\) 1.73109 + 2.99834i 0.127618 + 0.221041i
\(185\) −4.12508 + 7.14485i −0.303282 + 0.525300i
\(186\) 6.42825 11.1340i 0.471342 0.816388i
\(187\) 0.0826218 + 0.143105i 0.00604190 + 0.0104649i
\(188\) 0.0538211 0.00392531
\(189\) 6.77743 37.6099i 0.492985 2.73572i
\(190\) −8.00353 −0.580637
\(191\) −4.95435 8.58118i −0.358484 0.620912i 0.629224 0.777224i \(-0.283373\pi\)
−0.987708 + 0.156312i \(0.950040\pi\)
\(192\) −1.61748 + 2.80156i −0.116732 + 0.202185i
\(193\) 8.69752 15.0645i 0.626061 1.08437i −0.362274 0.932072i \(-0.617999\pi\)
0.988335 0.152298i \(-0.0486672\pi\)
\(194\) −9.38894 16.2621i −0.674087 1.16755i
\(195\) 13.5546 0.970667
\(196\) 5.39597 4.45909i 0.385426 0.318507i
\(197\) 17.5961 1.25367 0.626834 0.779153i \(-0.284350\pi\)
0.626834 + 0.779153i \(0.284350\pi\)
\(198\) 3.17518 + 5.49957i 0.225650 + 0.390837i
\(199\) −5.64229 + 9.77274i −0.399972 + 0.692771i −0.993722 0.111878i \(-0.964313\pi\)
0.593750 + 0.804649i \(0.297647\pi\)
\(200\) 1.84518 3.19595i 0.130474 0.225988i
\(201\) 18.7632 + 32.4989i 1.32346 + 2.29229i
\(202\) 13.7194 0.965291
\(203\) −0.469216 + 2.60381i −0.0329325 + 0.182752i
\(204\) 0.628386 0.0439958
\(205\) −2.31450 4.00883i −0.161652 0.279989i
\(206\) −0.590573 + 1.02290i −0.0411472 + 0.0712690i
\(207\) 12.9226 22.3827i 0.898185 1.55570i
\(208\) −1.83068 3.17083i −0.126935 0.219857i
\(209\) 5.94941 0.411529
\(210\) −9.21660 + 3.31541i −0.636006 + 0.228785i
\(211\) −9.87572 −0.679873 −0.339936 0.940448i \(-0.610406\pi\)
−0.339936 + 0.940448i \(0.610406\pi\)
\(212\) 1.33549 + 2.31313i 0.0917216 + 0.158866i
\(213\) 18.2492 31.6086i 1.25042 2.16578i
\(214\) 0.896121 1.55213i 0.0612576 0.106101i
\(215\) −5.59487 9.69060i −0.381567 0.660894i
\(216\) 14.4442 0.982801
\(217\) −8.02937 6.78901i −0.545069 0.460868i
\(218\) 3.64190 0.246660
\(219\) 11.8250 + 20.4816i 0.799063 + 1.38402i
\(220\) 0.486758 0.843090i 0.0328172 0.0568411i
\(221\) −0.355606 + 0.615928i −0.0239207 + 0.0414318i
\(222\) −11.6608 20.1970i −0.782618 1.35553i
\(223\) −16.5982 −1.11150 −0.555748 0.831351i \(-0.687568\pi\)
−0.555748 + 0.831351i \(0.687568\pi\)
\(224\) 2.02036 + 1.70826i 0.134991 + 0.114138i
\(225\) −27.5486 −1.83657
\(226\) 8.88590 + 15.3908i 0.591081 + 1.02378i
\(227\) −8.99651 + 15.5824i −0.597120 + 1.03424i 0.396125 + 0.918197i \(0.370355\pi\)
−0.993244 + 0.116045i \(0.962978\pi\)
\(228\) 11.3122 19.5933i 0.749167 1.29760i
\(229\) 1.01911 + 1.76514i 0.0673444 + 0.116644i 0.897732 0.440543i \(-0.145214\pi\)
−0.830387 + 0.557187i \(0.811881\pi\)
\(230\) −3.96211 −0.261253
\(231\) 6.85114 2.46450i 0.450772 0.162152i
\(232\) −1.00000 −0.0656532
\(233\) 8.24947 + 14.2885i 0.540441 + 0.936071i 0.998879 + 0.0473443i \(0.0150758\pi\)
−0.458438 + 0.888726i \(0.651591\pi\)
\(234\) −13.6660 + 23.6703i −0.893377 + 1.54737i
\(235\) −0.0307963 + 0.0533407i −0.00200893 + 0.00347956i
\(236\) 4.02177 + 6.96591i 0.261795 + 0.453442i
\(237\) −43.2075 −2.80663
\(238\) 0.0911443 0.505786i 0.00590801 0.0327852i
\(239\) 18.7414 1.21228 0.606141 0.795357i \(-0.292717\pi\)
0.606141 + 0.795357i \(0.292717\pi\)
\(240\) −1.85104 3.20609i −0.119484 0.206952i
\(241\) −8.93903 + 15.4828i −0.575813 + 0.997338i 0.420139 + 0.907460i \(0.361981\pi\)
−0.995953 + 0.0898784i \(0.971352\pi\)
\(242\) 5.13817 8.89957i 0.330294 0.572086i
\(243\) −17.6893 30.6388i −1.13477 1.96548i
\(244\) −5.08144 −0.325306
\(245\) 1.33174 + 7.89929i 0.0850815 + 0.504667i
\(246\) 13.0852 0.834283
\(247\) 12.8032 + 22.1758i 0.814648 + 1.41101i
\(248\) 1.98711 3.44178i 0.126182 0.218553i
\(249\) −14.6312 + 25.3419i −0.927213 + 1.60598i
\(250\) 4.97260 + 8.61279i 0.314495 + 0.544721i
\(251\) −1.69249 −0.106829 −0.0534144 0.998572i \(-0.517010\pi\)
−0.0534144 + 0.998572i \(0.517010\pi\)
\(252\) 3.50270 19.4375i 0.220649 1.22445i
\(253\) 2.94522 0.185165
\(254\) 5.78947 + 10.0277i 0.363264 + 0.629191i
\(255\) −0.359561 + 0.622778i −0.0225166 + 0.0389998i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −1.77662 3.07719i −0.110822 0.191950i 0.805280 0.592895i \(-0.202015\pi\)
−0.916102 + 0.400945i \(0.868682\pi\)
\(258\) 31.6311 1.96927
\(259\) −17.9478 + 6.45622i −1.11522 + 0.401170i
\(260\) 4.19004 0.259855
\(261\) 3.73251 + 6.46489i 0.231036 + 0.400167i
\(262\) 8.09878 14.0275i 0.500344 0.866621i
\(263\) 9.18136 15.9026i 0.566147 0.980595i −0.430795 0.902450i \(-0.641767\pi\)
0.996942 0.0781456i \(-0.0248999\pi\)
\(264\) 1.37597 + 2.38324i 0.0846848 + 0.146678i
\(265\) −3.05665 −0.187768
\(266\) −14.1298 11.9470i −0.866351 0.732519i
\(267\) 46.0353 2.81731
\(268\) 5.80013 + 10.0461i 0.354300 + 0.613665i
\(269\) −9.09102 + 15.7461i −0.554289 + 0.960057i 0.443669 + 0.896191i \(0.353676\pi\)
−0.997958 + 0.0638663i \(0.979657\pi\)
\(270\) −8.26491 + 14.3152i −0.502986 + 0.871198i
\(271\) 3.65352 + 6.32808i 0.221935 + 0.384403i 0.955396 0.295329i \(-0.0954293\pi\)
−0.733460 + 0.679732i \(0.762096\pi\)
\(272\) 0.194248 0.0117780
\(273\) 23.9299 + 20.2333i 1.44830 + 1.22457i
\(274\) −12.7842 −0.772324
\(275\) −1.56966 2.71874i −0.0946543 0.163946i
\(276\) 5.60003 9.69954i 0.337082 0.583843i
\(277\) 8.32098 14.4124i 0.499959 0.865955i −0.500041 0.866002i \(-0.666682\pi\)
1.00000 4.71482e-5i \(1.50077e-5\pi\)
\(278\) −0.0852873 0.147722i −0.00511519 0.00885977i
\(279\) −29.6676 −1.77616
\(280\) −2.84905 + 1.02487i −0.170264 + 0.0612474i
\(281\) 13.2562 0.790800 0.395400 0.918509i \(-0.370606\pi\)
0.395400 + 0.918509i \(0.370606\pi\)
\(282\) −0.0870547 0.150783i −0.00518403 0.00897901i
\(283\) 7.63929 13.2316i 0.454109 0.786539i −0.544528 0.838743i \(-0.683291\pi\)
0.998636 + 0.0522035i \(0.0166244\pi\)
\(284\) 5.64124 9.77091i 0.334746 0.579797i
\(285\) 12.9456 + 22.4224i 0.766830 + 1.32819i
\(286\) −3.11465 −0.184173
\(287\) 1.89795 10.5322i 0.112032 0.621698i
\(288\) 7.46501 0.439880
\(289\) 8.48113 + 14.6898i 0.498890 + 0.864103i
\(290\) 0.572197 0.991074i 0.0336006 0.0581979i
\(291\) −30.3729 + 52.6074i −1.78049 + 3.08390i
\(292\) 3.65539 + 6.33131i 0.213915 + 0.370512i
\(293\) −15.5191 −0.906637 −0.453318 0.891349i \(-0.649760\pi\)
−0.453318 + 0.891349i \(0.649760\pi\)
\(294\) −21.2203 7.90464i −1.23759 0.461008i
\(295\) −9.20498 −0.535935
\(296\) −3.60460 6.24335i −0.209513 0.362887i
\(297\) 6.14370 10.6412i 0.356494 0.617465i
\(298\) −7.02198 + 12.1624i −0.406772 + 0.704550i
\(299\) 6.33815 + 10.9780i 0.366545 + 0.634874i
\(300\) −11.9382 −0.689252
\(301\) 4.58794 25.4598i 0.264444 1.46748i
\(302\) 12.1976 0.701890
\(303\) −22.1908 38.4357i −1.27483 2.20807i
\(304\) 3.49684 6.05671i 0.200558 0.347376i
\(305\) 2.90758 5.03608i 0.166488 0.288365i
\(306\) −0.725032 1.25579i −0.0414473 0.0717889i
\(307\) 3.14277 0.179368 0.0896838 0.995970i \(-0.471414\pi\)
0.0896838 + 0.995970i \(0.471414\pi\)
\(308\) 2.11784 0.761832i 0.120675 0.0434094i
\(309\) 3.82097 0.217367
\(310\) 2.27404 + 3.93875i 0.129157 + 0.223706i
\(311\) −12.1080 + 20.9717i −0.686581 + 1.18919i 0.286356 + 0.958123i \(0.407556\pi\)
−0.972937 + 0.231070i \(0.925777\pi\)
\(312\) −5.92219 + 10.2575i −0.335278 + 0.580718i
\(313\) 5.17640 + 8.96579i 0.292588 + 0.506777i 0.974421 0.224731i \(-0.0721504\pi\)
−0.681833 + 0.731508i \(0.738817\pi\)
\(314\) 14.3897 0.812058
\(315\) 17.2598 + 14.5935i 0.972477 + 0.822251i
\(316\) −13.3564 −0.751357
\(317\) 17.2664 + 29.9063i 0.969780 + 1.67971i 0.696185 + 0.717862i \(0.254879\pi\)
0.273594 + 0.961845i \(0.411787\pi\)
\(318\) 4.32025 7.48290i 0.242268 0.419620i
\(319\) −0.425341 + 0.736713i −0.0238145 + 0.0412480i
\(320\) −0.572197 0.991074i −0.0319868 0.0554027i
\(321\) −5.79784 −0.323604
\(322\) −6.99486 5.91431i −0.389808 0.329592i
\(323\) −1.35851 −0.0755896
\(324\) −12.1657 21.0716i −0.675871 1.17064i
\(325\) 6.75587 11.7015i 0.374748 0.649083i
\(326\) −8.38368 + 14.5210i −0.464329 + 0.804241i
\(327\) −5.89071 10.2030i −0.325757 0.564227i
\(328\) 4.04493 0.223344
\(329\) −0.133992 + 0.0481996i −0.00738720 + 0.00265733i
\(330\) −3.14929 −0.173363
\(331\) −2.55022 4.41710i −0.140173 0.242786i 0.787389 0.616457i \(-0.211432\pi\)
−0.927562 + 0.373671i \(0.878099\pi\)
\(332\) −4.52282 + 7.83376i −0.248222 + 0.429933i
\(333\) −26.9084 + 46.6066i −1.47457 + 2.55403i
\(334\) 5.32773 + 9.22789i 0.291520 + 0.504928i
\(335\) −13.2753 −0.725306
\(336\) 1.51790 8.42325i 0.0828081 0.459526i
\(337\) 24.7613 1.34884 0.674418 0.738350i \(-0.264394\pi\)
0.674418 + 0.738350i \(0.264394\pi\)
\(338\) −0.202771 0.351209i −0.0110293 0.0191033i
\(339\) 28.7456 49.7888i 1.56125 2.70416i
\(340\) −0.111148 + 0.192514i −0.00602786 + 0.0104406i
\(341\) −1.69040 2.92786i −0.0915405 0.158553i
\(342\) −52.2080 −2.82308
\(343\) −9.44032 + 15.9336i −0.509729 + 0.860335i
\(344\) 9.77788 0.527188
\(345\) 6.40864 + 11.1001i 0.345030 + 0.597609i
\(346\) −8.96254 + 15.5236i −0.481829 + 0.834553i
\(347\) −3.21016 + 5.56016i −0.172331 + 0.298485i −0.939234 0.343277i \(-0.888463\pi\)
0.766904 + 0.641762i \(0.221796\pi\)
\(348\) 1.61748 + 2.80156i 0.0867062 + 0.150180i
\(349\) −2.54039 −0.135984 −0.0679920 0.997686i \(-0.521659\pi\)
−0.0679920 + 0.997686i \(0.521659\pi\)
\(350\) −1.73158 + 9.60901i −0.0925567 + 0.513623i
\(351\) 52.8852 2.82281
\(352\) 0.425341 + 0.736713i 0.0226708 + 0.0392669i
\(353\) 0.603140 1.04467i 0.0321019 0.0556021i −0.849528 0.527543i \(-0.823113\pi\)
0.881630 + 0.471941i \(0.156447\pi\)
\(354\) 13.0103 22.5345i 0.691489 1.19769i
\(355\) 6.45580 + 11.1818i 0.342638 + 0.593467i
\(356\) 14.2305 0.754216
\(357\) −1.56442 + 0.562753i −0.0827976 + 0.0297841i
\(358\) 5.28920 0.279543
\(359\) −0.157998 0.273661i −0.00833883 0.0144433i 0.861826 0.507204i \(-0.169321\pi\)
−0.870165 + 0.492761i \(0.835988\pi\)
\(360\) −4.27146 + 7.39838i −0.225126 + 0.389929i
\(361\) −14.9558 + 25.9043i −0.787149 + 1.36338i
\(362\) −6.58553 11.4065i −0.346128 0.599511i
\(363\) −33.2436 −1.74484
\(364\) 7.39726 + 6.25455i 0.387722 + 0.327827i
\(365\) −8.36640 −0.437917
\(366\) 8.21914 + 14.2360i 0.429621 + 0.744126i
\(367\) −12.1499 + 21.0442i −0.634217 + 1.09850i 0.352463 + 0.935826i \(0.385344\pi\)
−0.986680 + 0.162671i \(0.947989\pi\)
\(368\) 1.73109 2.99834i 0.0902395 0.156299i
\(369\) −15.0977 26.1500i −0.785956 1.36132i
\(370\) 8.25016 0.428905
\(371\) −5.39632 4.56271i −0.280163 0.236884i
\(372\) −12.8565 −0.666578
\(373\) 4.99255 + 8.64735i 0.258504 + 0.447743i 0.965841 0.259134i \(-0.0834370\pi\)
−0.707337 + 0.706876i \(0.750104\pi\)
\(374\) 0.0826218 0.143105i 0.00427227 0.00739979i
\(375\) 16.0862 27.8621i 0.830687 1.43879i
\(376\) −0.0269105 0.0466104i −0.00138781 0.00240375i
\(377\) −3.66136 −0.188570
\(378\) −35.9598 + 12.9355i −1.84957 + 0.665331i
\(379\) −13.0891 −0.672343 −0.336172 0.941801i \(-0.609132\pi\)
−0.336172 + 0.941801i \(0.609132\pi\)
\(380\) 4.00177 + 6.93126i 0.205286 + 0.355566i
\(381\) 18.7287 32.4391i 0.959503 1.66191i
\(382\) −4.95435 + 8.58118i −0.253486 + 0.439051i
\(383\) 1.48195 + 2.56681i 0.0757241 + 0.131158i 0.901401 0.432985i \(-0.142540\pi\)
−0.825677 + 0.564143i \(0.809206\pi\)
\(384\) 3.23497 0.165084
\(385\) −0.456789 + 2.53485i −0.0232801 + 0.129188i
\(386\) −17.3950 −0.885384
\(387\) −36.4960 63.2129i −1.85520 3.21329i
\(388\) −9.38894 + 16.2621i −0.476651 + 0.825584i
\(389\) 17.4557 30.2342i 0.885040 1.53293i 0.0393729 0.999225i \(-0.487464\pi\)
0.845667 0.533710i \(-0.179203\pi\)
\(390\) −6.77731 11.7387i −0.343183 0.594410i
\(391\) −0.672523 −0.0340110
\(392\) −6.55967 2.44350i −0.331314 0.123415i
\(393\) −52.3985 −2.64316
\(394\) −8.79804 15.2386i −0.443239 0.767712i
\(395\) 7.64250 13.2372i 0.384536 0.666036i
\(396\) 3.17518 5.49957i 0.159559 0.276364i
\(397\) −7.70778 13.3503i −0.386842 0.670031i 0.605180 0.796088i \(-0.293101\pi\)
−0.992023 + 0.126057i \(0.959768\pi\)
\(398\) 11.2846 0.565645
\(399\) −10.6157 + 58.9096i −0.531450 + 2.94917i
\(400\) −3.69036 −0.184518
\(401\) −19.0183 32.9406i −0.949728 1.64498i −0.745996 0.665950i \(-0.768026\pi\)
−0.203731 0.979027i \(-0.565307\pi\)
\(402\) 18.7632 32.4989i 0.935825 1.62090i
\(403\) 7.27553 12.6016i 0.362420 0.627730i
\(404\) −6.85968 11.8813i −0.341282 0.591118i
\(405\) 27.8447 1.38361
\(406\) 2.48958 0.895553i 0.123556 0.0444456i
\(407\) −6.13274 −0.303989
\(408\) −0.314193 0.544199i −0.0155549 0.0269418i
\(409\) 14.6428 25.3621i 0.724041 1.25408i −0.235327 0.971916i \(-0.575616\pi\)
0.959368 0.282159i \(-0.0910506\pi\)
\(410\) −2.31450 + 4.00883i −0.114305 + 0.197982i
\(411\) 20.6783 + 35.8159i 1.01999 + 1.76667i
\(412\) 1.18115 0.0581909
\(413\) −16.2508 13.7405i −0.799652 0.676123i
\(414\) −25.8453 −1.27023
\(415\) −5.17589 8.96490i −0.254074 0.440070i
\(416\) −1.83068 + 3.17083i −0.0897564 + 0.155463i
\(417\) −0.275902 + 0.477875i −0.0135110 + 0.0234017i
\(418\) −2.97471 5.15234i −0.145498 0.252009i
\(419\) −6.29412 −0.307488 −0.153744 0.988111i \(-0.549133\pi\)
−0.153744 + 0.988111i \(0.549133\pi\)
\(420\) 7.47952 + 6.32410i 0.364963 + 0.308585i
\(421\) 2.94479 0.143520 0.0717602 0.997422i \(-0.477138\pi\)
0.0717602 + 0.997422i \(0.477138\pi\)
\(422\) 4.93786 + 8.55262i 0.240371 + 0.416335i
\(423\) −0.200887 + 0.347947i −0.00976748 + 0.0169178i
\(424\) 1.33549 2.31313i 0.0648570 0.112336i
\(425\) 0.358423 + 0.620807i 0.0173861 + 0.0301136i
\(426\) −36.4984 −1.76836
\(427\) 12.6506 4.55070i 0.612206 0.220224i
\(428\) −1.79224 −0.0866313
\(429\) 5.03790 + 8.72590i 0.243232 + 0.421290i
\(430\) −5.59487 + 9.69060i −0.269809 + 0.467322i
\(431\) −2.72971 + 4.72800i −0.131486 + 0.227740i −0.924249 0.381789i \(-0.875308\pi\)
0.792764 + 0.609529i \(0.208641\pi\)
\(432\) −7.22208 12.5090i −0.347473 0.601840i
\(433\) −16.9899 −0.816482 −0.408241 0.912874i \(-0.633858\pi\)
−0.408241 + 0.912874i \(0.633858\pi\)
\(434\) −1.86477 + 10.3481i −0.0895118 + 0.496727i
\(435\) −3.70208 −0.177501
\(436\) −1.82095 3.15397i −0.0872076 0.151048i
\(437\) −12.1067 + 20.9695i −0.579143 + 1.00311i
\(438\) 11.8250 20.4816i 0.565023 0.978648i
\(439\) 11.3210 + 19.6085i 0.540321 + 0.935863i 0.998885 + 0.0472016i \(0.0150303\pi\)
−0.458565 + 0.888661i \(0.651636\pi\)
\(440\) −0.973516 −0.0464106
\(441\) 8.68706 + 51.5279i 0.413670 + 2.45371i
\(442\) 0.711212 0.0338289
\(443\) 8.56936 + 14.8426i 0.407143 + 0.705192i 0.994568 0.104086i \(-0.0331919\pi\)
−0.587426 + 0.809278i \(0.699859\pi\)
\(444\) −11.6608 + 20.1970i −0.553395 + 0.958508i
\(445\) −8.14266 + 14.1035i −0.385999 + 0.668570i
\(446\) 8.29908 + 14.3744i 0.392973 + 0.680649i
\(447\) 45.4317 2.14885
\(448\) 0.469216 2.60381i 0.0221684 0.123019i
\(449\) −12.1802 −0.574818 −0.287409 0.957808i \(-0.592794\pi\)
−0.287409 + 0.957808i \(0.592794\pi\)
\(450\) 13.7743 + 23.8578i 0.649327 + 1.12467i
\(451\) 1.72048 2.97995i 0.0810141 0.140321i
\(452\) 8.88590 15.3908i 0.417958 0.723924i
\(453\) −19.7293 34.1722i −0.926965 1.60555i
\(454\) 17.9930 0.844455
\(455\) −10.4314 + 3.75240i −0.489032 + 0.175915i
\(456\) −22.6244 −1.05948
\(457\) −15.7551 27.2886i −0.736991 1.27651i −0.953844 0.300302i \(-0.902912\pi\)
0.216853 0.976204i \(-0.430421\pi\)
\(458\) 1.01911 1.76514i 0.0476197 0.0824797i
\(459\) −1.40288 + 2.42985i −0.0654806 + 0.113416i
\(460\) 1.98105 + 3.43128i 0.0923671 + 0.159984i
\(461\) −6.40796 −0.298448 −0.149224 0.988803i \(-0.547678\pi\)
−0.149224 + 0.988803i \(0.547678\pi\)
\(462\) −5.55989 4.70101i −0.258669 0.218711i
\(463\) −0.902939 −0.0419632 −0.0209816 0.999780i \(-0.506679\pi\)
−0.0209816 + 0.999780i \(0.506679\pi\)
\(464\) 0.500000 + 0.866025i 0.0232119 + 0.0402042i
\(465\) 7.35645 12.7417i 0.341147 0.590884i
\(466\) 8.24947 14.2885i 0.382149 0.661902i
\(467\) 18.2056 + 31.5330i 0.842454 + 1.45917i 0.887814 + 0.460202i \(0.152223\pi\)
−0.0453601 + 0.998971i \(0.514444\pi\)
\(468\) 27.3321 1.26343
\(469\) −23.4367 19.8163i −1.08221 0.915030i
\(470\) 0.0615925 0.00284105
\(471\) −23.2751 40.3137i −1.07246 1.85756i
\(472\) 4.02177 6.96591i 0.185117 0.320632i
\(473\) 4.15894 7.20349i 0.191228 0.331217i
\(474\) 21.6038 + 37.4188i 0.992294 + 1.71870i
\(475\) 25.8092 1.18421
\(476\) −0.483595 + 0.173960i −0.0221656 + 0.00797342i
\(477\) −19.9388 −0.912937
\(478\) −9.37071 16.2305i −0.428606 0.742368i
\(479\) −15.7142 + 27.2177i −0.717998 + 1.24361i 0.243794 + 0.969827i \(0.421608\pi\)
−0.961792 + 0.273782i \(0.911725\pi\)
\(480\) −1.85104 + 3.20609i −0.0844880 + 0.146337i
\(481\) −13.1977 22.8591i −0.601764 1.04229i
\(482\) 17.8781 0.814323
\(483\) −5.25525 + 29.1628i −0.239122 + 1.32696i
\(484\) −10.2763 −0.467106
\(485\) −10.7446 18.6103i −0.487889 0.845049i
\(486\) −17.6893 + 30.6388i −0.802404 + 1.38980i
\(487\) −7.22298 + 12.5106i −0.327304 + 0.566908i −0.981976 0.189006i \(-0.939474\pi\)
0.654672 + 0.755913i \(0.272807\pi\)
\(488\) 2.54072 + 4.40065i 0.115013 + 0.199208i
\(489\) 54.2418 2.45290
\(490\) 6.17511 5.10296i 0.278963 0.230528i
\(491\) 29.2405 1.31961 0.659803 0.751439i \(-0.270640\pi\)
0.659803 + 0.751439i \(0.270640\pi\)
\(492\) −6.54261 11.3321i −0.294964 0.510892i
\(493\) 0.0971241 0.168224i 0.00437425 0.00757642i
\(494\) 12.8032 22.1758i 0.576043 0.997736i
\(495\) 3.63365 + 6.29367i 0.163321 + 0.282880i
\(496\) −3.97423 −0.178448
\(497\) −5.29392 + 29.3774i −0.237465 + 1.31776i
\(498\) 29.2624 1.31128
\(499\) −14.2452 24.6735i −0.637704 1.10454i −0.985935 0.167127i \(-0.946551\pi\)
0.348231 0.937409i \(-0.386782\pi\)
\(500\) 4.97260 8.61279i 0.222381 0.385176i
\(501\) 17.2350 29.8519i 0.770004 1.33369i
\(502\) 0.846243 + 1.46574i 0.0377697 + 0.0654190i
\(503\) 19.9091 0.887701 0.443850 0.896101i \(-0.353612\pi\)
0.443850 + 0.896101i \(0.353612\pi\)
\(504\) −18.5847 + 6.68531i −0.827829 + 0.297788i
\(505\) 15.7004 0.698657
\(506\) −1.47261 2.55064i −0.0654656 0.113390i
\(507\) −0.655956 + 1.13615i −0.0291321 + 0.0504582i
\(508\) 5.78947 10.0277i 0.256866 0.444905i
\(509\) −1.78599 3.09343i −0.0791628 0.137114i 0.823726 0.566988i \(-0.191891\pi\)
−0.902889 + 0.429874i \(0.858558\pi\)
\(510\) 0.719122 0.0318432
\(511\) −14.7704 12.4887i −0.653403 0.552467i
\(512\) 1.00000 0.0441942
\(513\) 50.5090 + 87.4841i 2.23003 + 3.86252i
\(514\) −1.77662 + 3.07719i −0.0783633 + 0.135729i
\(515\) −0.675848 + 1.17060i −0.0297814 + 0.0515829i
\(516\) −15.8156 27.3934i −0.696241 1.20593i
\(517\) −0.0457847 −0.00201361
\(518\) 14.5652 + 12.3152i 0.639956 + 0.541097i
\(519\) 57.9871 2.54535
\(520\) −2.09502 3.62868i −0.0918726 0.159128i
\(521\) 4.68438 8.11359i 0.205227 0.355463i −0.744978 0.667089i \(-0.767540\pi\)
0.950205 + 0.311626i \(0.100874\pi\)
\(522\) 3.73251 6.46489i 0.163367 0.282960i
\(523\) 6.80794 + 11.7917i 0.297690 + 0.515615i 0.975607 0.219524i \(-0.0704504\pi\)
−0.677917 + 0.735139i \(0.737117\pi\)
\(524\) −16.1976 −0.707593
\(525\) 29.7210 10.6913i 1.29713 0.466606i
\(526\) −18.3627 −0.800653
\(527\) 0.385993 + 0.668560i 0.0168141 + 0.0291229i
\(528\) 1.37597 2.38324i 0.0598812 0.103717i
\(529\) 5.50663 9.53777i 0.239419 0.414686i
\(530\) 1.52832 + 2.64713i 0.0663861 + 0.114984i
\(531\) −60.0451 −2.60574
\(532\) −3.28155 + 18.2102i −0.142273 + 0.789514i
\(533\) 14.8099 0.641490
\(534\) −23.0176 39.8677i −0.996070 1.72524i
\(535\) 1.02552 1.77624i 0.0443369 0.0767937i
\(536\) 5.80013 10.0461i 0.250528 0.433927i
\(537\) −8.55519 14.8180i −0.369184 0.639445i
\(538\) 18.1820 0.783883
\(539\) −4.59026 + 3.79327i −0.197716 + 0.163388i
\(540\) 16.5298 0.711330
\(541\) −5.34851 9.26389i −0.229951 0.398286i 0.727843 0.685744i \(-0.240523\pi\)
−0.957793 + 0.287458i \(0.907190\pi\)
\(542\) 3.65352 6.32808i 0.156932 0.271814i
\(543\) −21.3040 + 36.8995i −0.914240 + 1.58351i
\(544\) −0.0971241 0.168224i −0.00416416 0.00721254i
\(545\) 4.16776 0.178527
\(546\) 5.55757 30.8405i 0.237842 1.31985i
\(547\) −23.6925 −1.01302 −0.506509 0.862235i \(-0.669064\pi\)
−0.506509 + 0.862235i \(0.669064\pi\)
\(548\) 6.39212 + 11.0715i 0.273058 + 0.472950i
\(549\) 18.9665 32.8509i 0.809470 1.40204i
\(550\) −1.56966 + 2.71874i −0.0669307 + 0.115927i
\(551\) −3.49684 6.05671i −0.148971 0.258025i
\(552\) −11.2001 −0.476706
\(553\) 33.2518 11.9614i 1.41401 0.508649i
\(554\) −16.6420 −0.707049
\(555\) −13.3445 23.1133i −0.566442 0.981107i
\(556\) −0.0852873 + 0.147722i −0.00361699 + 0.00626480i
\(557\) −6.13907 + 10.6332i −0.260121 + 0.450543i −0.966274 0.257517i \(-0.917096\pi\)
0.706153 + 0.708059i \(0.250429\pi\)
\(558\) 14.8338 + 25.6929i 0.627966 + 1.08767i
\(559\) 35.8003 1.51419
\(560\) 2.31209 + 1.95492i 0.0977035 + 0.0826105i
\(561\) −0.534558 −0.0225690
\(562\) −6.62811 11.4802i −0.279590 0.484264i
\(563\) −18.6915 + 32.3747i −0.787755 + 1.36443i 0.139585 + 0.990210i \(0.455423\pi\)
−0.927340 + 0.374221i \(0.877910\pi\)
\(564\) −0.0870547 + 0.150783i −0.00366566 + 0.00634912i
\(565\) 10.1690 + 17.6132i 0.427812 + 0.740992i
\(566\) −15.2786 −0.642207
\(567\) 49.1581 + 41.5642i 2.06444 + 1.74553i
\(568\) −11.2825 −0.473402
\(569\) 7.12391 + 12.3390i 0.298650 + 0.517277i 0.975827 0.218543i \(-0.0701304\pi\)
−0.677177 + 0.735820i \(0.736797\pi\)
\(570\) 12.9456 22.4224i 0.542231 0.939171i
\(571\) 3.29932 5.71460i 0.138072 0.239148i −0.788695 0.614785i \(-0.789243\pi\)
0.926767 + 0.375637i \(0.122576\pi\)
\(572\) 1.55733 + 2.69737i 0.0651151 + 0.112783i
\(573\) 32.0543 1.33909
\(574\) −10.0702 + 3.62245i −0.420320 + 0.151198i
\(575\) 12.7767 0.532826
\(576\) −3.73251 6.46489i −0.155521 0.269370i
\(577\) 10.5455 18.2654i 0.439016 0.760398i −0.558598 0.829439i \(-0.688660\pi\)
0.997614 + 0.0690406i \(0.0219938\pi\)
\(578\) 8.48113 14.6898i 0.352769 0.611013i
\(579\) 28.1362 + 48.7333i 1.16930 + 2.02529i
\(580\) −1.14439 −0.0475184
\(581\) 4.24436 23.5532i 0.176086 0.977149i
\(582\) 60.7458 2.51800
\(583\) −1.13608 1.96774i −0.0470514 0.0814955i
\(584\) 3.65539 6.33131i 0.151261 0.261992i
\(585\) −15.6393 + 27.0881i −0.646607 + 1.11996i
\(586\) 7.75956 + 13.4400i 0.320545 + 0.555199i
\(587\) 23.5851 0.973459 0.486730 0.873553i \(-0.338190\pi\)
0.486730 + 0.873553i \(0.338190\pi\)
\(588\) 3.76454 + 22.3297i 0.155247 + 0.920860i
\(589\) 27.7945 1.14525
\(590\) 4.60249 + 7.97175i 0.189482 + 0.328192i
\(591\) −28.4614 + 49.2965i −1.17074 + 2.02779i
\(592\) −3.60460 + 6.24335i −0.148148 + 0.256600i
\(593\) 12.4404 + 21.5474i 0.510865 + 0.884844i 0.999921 + 0.0125916i \(0.00400813\pi\)
−0.489056 + 0.872253i \(0.662659\pi\)
\(594\) −12.2874 −0.504158
\(595\) 0.104305 0.578818i 0.00427609 0.0237292i
\(596\) 14.0440 0.575263
\(597\) −18.2526 31.6145i −0.747031 1.29390i
\(598\) 6.33815 10.9780i 0.259186 0.448924i
\(599\) −2.38954 + 4.13880i −0.0976338 + 0.169107i −0.910705 0.413058i \(-0.864461\pi\)
0.813071 + 0.582165i \(0.197794\pi\)
\(600\) 5.96910 + 10.3388i 0.243687 + 0.422079i
\(601\) −44.3292 −1.80823 −0.904113 0.427292i \(-0.859467\pi\)
−0.904113 + 0.427292i \(0.859467\pi\)
\(602\) −24.3428 + 8.75661i −0.992137 + 0.356893i
\(603\) −86.5961 −3.52647
\(604\) −6.09878 10.5634i −0.248156 0.429818i
\(605\) 5.88009 10.1846i 0.239060 0.414063i
\(606\) −22.1908 + 38.4357i −0.901442 + 1.56134i
\(607\) −21.4496 37.1518i −0.870613 1.50795i −0.861364 0.507989i \(-0.830389\pi\)
−0.00924938 0.999957i \(-0.502944\pi\)
\(608\) −6.99369 −0.283632
\(609\) −6.53580 5.52616i −0.264844 0.223931i
\(610\) −5.81517 −0.235449
\(611\) −0.0985291 0.170657i −0.00398606 0.00690406i
\(612\) −0.725032 + 1.25579i −0.0293077 + 0.0507624i
\(613\) −13.0203 + 22.5518i −0.525884 + 0.910857i 0.473662 + 0.880707i \(0.342932\pi\)
−0.999545 + 0.0301503i \(0.990401\pi\)
\(614\) −1.57139 2.72172i −0.0634160 0.109840i
\(615\) 14.9746 0.603836
\(616\) −1.71868 1.45319i −0.0692478 0.0585505i
\(617\) −38.2301 −1.53909 −0.769543 0.638595i \(-0.779516\pi\)
−0.769543 + 0.638595i \(0.779516\pi\)
\(618\) −1.91048 3.30905i −0.0768509 0.133110i
\(619\) −16.9206 + 29.3074i −0.680098 + 1.17796i 0.294853 + 0.955543i \(0.404729\pi\)
−0.974951 + 0.222421i \(0.928604\pi\)
\(620\) 2.27404 3.93875i 0.0913277 0.158184i
\(621\) 25.0042 + 43.3085i 1.00338 + 1.73791i
\(622\) 24.2160 0.970973
\(623\) −35.4280 + 12.7442i −1.41939 + 0.510585i
\(624\) 11.8444 0.474154
\(625\) −3.53529 6.12331i −0.141412 0.244932i
\(626\) 5.17640 8.96579i 0.206891 0.358345i
\(627\) −9.62307 + 16.6677i −0.384309 + 0.665642i
\(628\) −7.19485 12.4618i −0.287106 0.497282i
\(629\) 1.40037 0.0558365
\(630\) 4.00847 22.2441i 0.159701 0.886228i
\(631\) −36.3237 −1.44602 −0.723012 0.690835i \(-0.757243\pi\)
−0.723012 + 0.690835i \(0.757243\pi\)
\(632\) 6.67821 + 11.5670i 0.265645 + 0.460110i
\(633\) 15.9738 27.6675i 0.634902 1.09968i
\(634\) 17.2664 29.9063i 0.685738 1.18773i
\(635\) 6.62543 + 11.4756i 0.262922 + 0.455395i
\(636\) −8.64051 −0.342618
\(637\) −24.0173 8.94653i −0.951600 0.354474i
\(638\) 0.850683 0.0336789
\(639\) 42.1119 + 72.9400i 1.66592 + 2.88546i
\(640\) −0.572197 + 0.991074i −0.0226181 + 0.0391756i
\(641\) 2.50688 4.34204i 0.0990157 0.171500i −0.812262 0.583293i \(-0.801764\pi\)
0.911278 + 0.411793i \(0.135097\pi\)
\(642\) 2.89892 + 5.02108i 0.114411 + 0.198166i
\(643\) −21.6758 −0.854811 −0.427406 0.904060i \(-0.640572\pi\)
−0.427406 + 0.904060i \(0.640572\pi\)
\(644\) −1.62451 + 9.01488i −0.0640148 + 0.355236i
\(645\) 36.1985 1.42531
\(646\) 0.679256 + 1.17651i 0.0267250 + 0.0462890i
\(647\) 11.5473 20.0005i 0.453970 0.786299i −0.544658 0.838658i \(-0.683341\pi\)
0.998628 + 0.0523591i \(0.0166740\pi\)
\(648\) −12.1657 + 21.0716i −0.477913 + 0.827769i
\(649\) −3.42125 5.92578i −0.134296 0.232607i
\(650\) −13.5117 −0.529974
\(651\) 32.0072 11.5137i 1.25446 0.451256i
\(652\) 16.7674 0.656660
\(653\) 16.9620 + 29.3790i 0.663774 + 1.14969i 0.979616 + 0.200879i \(0.0643798\pi\)
−0.315842 + 0.948812i \(0.602287\pi\)
\(654\) −5.89071 + 10.2030i −0.230345 + 0.398969i
\(655\) 9.26819 16.0530i 0.362138 0.627242i
\(656\) −2.02247 3.50301i −0.0789640 0.136770i
\(657\) −54.5750 −2.12917
\(658\) 0.108738 + 0.0919403i 0.00423905 + 0.00358421i
\(659\) −5.52520 −0.215231 −0.107616 0.994193i \(-0.534322\pi\)
−0.107616 + 0.994193i \(0.534322\pi\)
\(660\) 1.57465 + 2.72737i 0.0612930 + 0.106163i
\(661\) 0.811825 1.40612i 0.0315763 0.0546918i −0.849805 0.527097i \(-0.823281\pi\)
0.881382 + 0.472405i \(0.156614\pi\)
\(662\) −2.55022 + 4.41710i −0.0991170 + 0.171676i
\(663\) −1.15037 1.99251i −0.0446768 0.0773825i
\(664\) 9.04564 0.351039
\(665\) −16.1700 13.6721i −0.627046 0.530182i
\(666\) 53.8167 2.08536
\(667\) −1.73109 2.99834i −0.0670282 0.116096i
\(668\) 5.32773 9.22789i 0.206136 0.357038i
\(669\) 26.8473 46.5008i 1.03798 1.79783i
\(670\) 6.63764 + 11.4967i 0.256434 + 0.444157i
\(671\) 4.32269 0.166876
\(672\) −8.05369 + 2.89708i −0.310678 + 0.111757i
\(673\) −1.69886 −0.0654862 −0.0327431 0.999464i \(-0.510424\pi\)
−0.0327431 + 0.999464i \(0.510424\pi\)
\(674\) −12.3807 21.4440i −0.476886 0.825990i
\(675\) 26.6521 46.1628i 1.02584 1.77681i
\(676\) −0.202771 + 0.351209i −0.00779887 + 0.0135080i
\(677\) −10.3638 17.9507i −0.398314 0.689900i 0.595204 0.803575i \(-0.297071\pi\)
−0.993518 + 0.113674i \(0.963738\pi\)
\(678\) −57.4912 −2.20794
\(679\) 8.81088 48.8941i 0.338130 1.87638i
\(680\) 0.222296 0.00852468
\(681\) −29.1034 50.4086i −1.11525 1.93166i
\(682\) −1.69040 + 2.92786i −0.0647289 + 0.112114i
\(683\) 15.1908 26.3113i 0.581261 1.00677i −0.414069 0.910246i \(-0.635893\pi\)
0.995330 0.0965286i \(-0.0307739\pi\)
\(684\) 26.1040 + 45.2134i 0.998111 + 1.72878i
\(685\) −14.6302 −0.558991
\(686\) 18.5191 + 0.208741i 0.707062 + 0.00796975i
\(687\) −6.59355 −0.251560
\(688\) −4.88894 8.46789i −0.186389 0.322835i
\(689\) 4.88969 8.46920i 0.186282 0.322651i
\(690\) 6.40864 11.1001i 0.243973 0.422573i
\(691\) 2.31023 + 4.00144i 0.0878853 + 0.152222i 0.906617 0.421954i \(-0.138656\pi\)
−0.818732 + 0.574176i \(0.805322\pi\)
\(692\) 17.9251 0.681409
\(693\) −2.97969 + 16.5351i −0.113189 + 0.628118i
\(694\) 6.42032 0.243712
\(695\) −0.0976022 0.169052i −0.00370226 0.00641251i
\(696\) 1.61748 2.80156i 0.0613106 0.106193i
\(697\) −0.392860 + 0.680454i −0.0148806 + 0.0257740i
\(698\) 1.27020 + 2.20004i 0.0480776 + 0.0832729i
\(699\) −53.3735 −2.01877
\(700\) 9.18743 3.30492i 0.347252 0.124914i
\(701\) 36.9179 1.39437 0.697186 0.716890i \(-0.254435\pi\)
0.697186 + 0.716890i \(0.254435\pi\)
\(702\) −26.4426 45.8000i −0.998012 1.72861i
\(703\) 25.2094 43.6640i 0.950792 1.64682i
\(704\) 0.425341 0.736713i 0.0160307 0.0277659i
\(705\) −0.0996249 0.172555i −0.00375209 0.00649881i
\(706\) −1.20628 −0.0453989
\(707\) 27.7181 + 23.4362i 1.04244 + 0.881410i
\(708\) −26.0206 −0.977914
\(709\) 16.0371 + 27.7771i 0.602286 + 1.04319i 0.992474 + 0.122454i \(0.0390765\pi\)
−0.390189 + 0.920735i \(0.627590\pi\)
\(710\) 6.45580 11.1818i 0.242282 0.419644i
\(711\) 49.8529 86.3477i 1.86963 3.23829i
\(712\) −7.11526 12.3240i −0.266656 0.461861i
\(713\) 13.7595 0.515298
\(714\) 1.26957 + 1.07345i 0.0475123 + 0.0401727i
\(715\) −3.56439 −0.133301
\(716\) −2.64460 4.58058i −0.0988333 0.171184i
\(717\) −30.3139 + 52.5053i −1.13209 + 1.96085i
\(718\) −0.157998 + 0.273661i −0.00589644 + 0.0102129i
\(719\) −17.9177 31.0344i −0.668218 1.15739i −0.978402 0.206711i \(-0.933724\pi\)
0.310184 0.950676i \(-0.399609\pi\)
\(720\) 8.54291 0.318376
\(721\) −2.94055 + 1.05778i −0.109512 + 0.0393937i
\(722\) 29.9117 1.11320
\(723\) −28.9175 50.0865i −1.07545 1.86274i
\(724\) −6.58553 + 11.4065i −0.244749 + 0.423918i
\(725\) −1.84518 + 3.19595i −0.0685283 + 0.118695i
\(726\) 16.6218 + 28.7898i 0.616893 + 1.06849i
\(727\) −12.8401 −0.476215 −0.238107 0.971239i \(-0.576527\pi\)
−0.238107 + 0.971239i \(0.576527\pi\)
\(728\) 1.71797 9.53349i 0.0636721 0.353335i
\(729\) 41.4546 1.53536
\(730\) 4.18320 + 7.24552i 0.154827 + 0.268169i
\(731\) −0.949668 + 1.64487i −0.0351247 + 0.0608378i
\(732\) 8.21914 14.2360i 0.303788 0.526177i
\(733\) 4.56646 + 7.90935i 0.168666 + 0.292138i 0.937951 0.346767i \(-0.112721\pi\)
−0.769285 + 0.638906i \(0.779387\pi\)
\(734\) 24.2997 0.896919
\(735\) −24.2844 9.04602i −0.895744 0.333668i
\(736\) −3.46219 −0.127618
\(737\) −4.93407 8.54607i −0.181749 0.314798i
\(738\) −15.0977 + 26.1500i −0.555755 + 0.962596i
\(739\) −3.16227 + 5.47721i −0.116326 + 0.201482i −0.918309 0.395864i \(-0.870445\pi\)
0.801983 + 0.597347i \(0.203778\pi\)
\(740\) −4.12508 7.14485i −0.151641 0.262650i
\(741\) −82.8358 −3.04305
\(742\) −1.25326 + 6.95471i −0.0460087 + 0.255315i
\(743\) 32.2973 1.18487 0.592436 0.805618i \(-0.298166\pi\)
0.592436 + 0.805618i \(0.298166\pi\)
\(744\) 6.42825 + 11.1340i 0.235671 + 0.408194i
\(745\) −8.03591 + 13.9186i −0.294413 + 0.509938i
\(746\) 4.99255 8.64735i 0.182790 0.316602i
\(747\) −33.7629 58.4791i −1.23532 2.13964i
\(748\) −0.165244 −0.00604190
\(749\) 4.46192 1.60505i 0.163035 0.0586472i
\(750\) −32.1724 −1.17477
\(751\) −9.93095 17.2009i −0.362385 0.627670i 0.625968 0.779849i \(-0.284704\pi\)
−0.988353 + 0.152179i \(0.951371\pi\)
\(752\) −0.0269105 + 0.0466104i −0.000981327 + 0.00169971i
\(753\) 2.73757 4.74161i 0.0997625 0.172794i
\(754\) 1.83068 + 3.17083i 0.0666694 + 0.115475i
\(755\) 13.9588 0.508013
\(756\) 29.1824 + 24.6744i 1.06135 + 0.897398i
\(757\) 24.1136 0.876425 0.438213 0.898871i \(-0.355612\pi\)
0.438213 + 0.898871i \(0.355612\pi\)
\(758\) 6.54456 + 11.3355i 0.237709 + 0.411725i
\(759\) −4.76385 + 8.25123i −0.172917 + 0.299501i
\(760\) 4.00177 6.93126i 0.145159 0.251423i
\(761\) −19.8123 34.3158i −0.718194 1.24395i −0.961715 0.274052i \(-0.911636\pi\)
0.243521 0.969896i \(-0.421697\pi\)
\(762\) −37.4575 −1.35694
\(763\) 7.35794 + 6.22130i 0.266375 + 0.225226i
\(764\) 9.90869 0.358484
\(765\) −0.829723 1.43712i −0.0299987 0.0519592i
\(766\) 1.48195 2.56681i 0.0535451 0.0927428i
\(767\) 14.7251 25.5047i 0.531694 0.920921i
\(768\) −1.61748 2.80156i −0.0583659 0.101093i
\(769\) −11.8143 −0.426034 −0.213017 0.977049i \(-0.568329\pi\)
−0.213017 + 0.977049i \(0.568329\pi\)
\(770\) 2.42364 0.871836i 0.0873420 0.0314188i
\(771\) 11.4946 0.413968
\(772\) 8.69752 + 15.0645i 0.313030 + 0.542185i
\(773\) −9.01041 + 15.6065i −0.324082 + 0.561327i −0.981326 0.192351i \(-0.938389\pi\)
0.657244 + 0.753678i \(0.271722\pi\)
\(774\) −36.4960 + <