Properties

Label 177.2.e.b.22.5
Level $177$
Weight $2$
Character 177.22
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 22.5
Character \(\chi\) \(=\) 177.22
Dual form 177.2.e.b.169.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.302557 + 1.84551i) q^{2} +(-0.267528 - 0.963550i) q^{3} +(-1.41907 + 0.478141i) q^{4} +(1.62093 - 2.39070i) q^{5} +(1.69730 - 0.785256i) q^{6} +(1.15886 + 0.255085i) q^{7} +(0.440222 + 0.830346i) q^{8} +(-0.856857 + 0.515554i) q^{9} +O(q^{10})\) \(q+(0.302557 + 1.84551i) q^{2} +(-0.267528 - 0.963550i) q^{3} +(-1.41907 + 0.478141i) q^{4} +(1.62093 - 2.39070i) q^{5} +(1.69730 - 0.785256i) q^{6} +(1.15886 + 0.255085i) q^{7} +(0.440222 + 0.830346i) q^{8} +(-0.856857 + 0.515554i) q^{9} +(4.90248 + 2.26813i) q^{10} +(3.14625 + 2.39171i) q^{11} +(0.840355 + 1.23943i) q^{12} +(-3.86478 - 2.32536i) q^{13} +(-0.120141 + 2.21587i) q^{14} +(-2.73720 - 0.922270i) q^{15} +(-3.78346 + 2.87611i) q^{16} +(0.853899 - 0.187957i) q^{17} +(-1.21071 - 1.42536i) q^{18} +(-3.75273 - 0.408134i) q^{19} +(-1.15713 + 4.16761i) q^{20} +(-0.0642415 - 1.18486i) q^{21} +(-3.46202 + 6.53007i) q^{22} +(2.31962 - 2.73087i) q^{23} +(0.682308 - 0.646317i) q^{24} +(-1.23732 - 3.10543i) q^{25} +(3.12217 - 7.83606i) q^{26} +(0.725995 + 0.687699i) q^{27} +(-1.76648 + 0.192116i) q^{28} +(-0.671290 + 4.09469i) q^{29} +(0.873904 - 5.33058i) q^{30} +(-5.65169 + 0.614658i) q^{31} +(-5.08799 - 4.81960i) q^{32} +(1.46283 - 3.67142i) q^{33} +(0.605231 + 1.51901i) q^{34} +(2.48827 - 2.35701i) q^{35} +(0.969435 - 1.14131i) q^{36} +(-2.58442 + 4.87473i) q^{37} +(-0.382196 - 7.04920i) q^{38} +(-1.20666 + 4.34601i) q^{39} +(2.69868 + 0.293499i) q^{40} +(-4.30020 - 5.06259i) q^{41} +(2.16725 - 0.477047i) q^{42} +(7.31003 - 5.55694i) q^{43} +(-5.60833 - 1.88967i) q^{44} +(-0.156375 + 2.88416i) q^{45} +(5.74167 + 3.45465i) q^{46} +(5.31007 + 7.83177i) q^{47} +(3.78346 + 2.87611i) q^{48} +(-5.07513 - 2.34801i) q^{49} +(5.35675 - 3.22305i) q^{50} +(-0.409549 - 0.772491i) q^{51} +(6.59626 + 1.45195i) q^{52} +(-9.18831 + 4.25096i) q^{53} +(-1.04950 + 1.54790i) q^{54} +(10.8177 - 3.64491i) q^{55} +(0.298348 + 1.07455i) q^{56} +(0.610704 + 3.72513i) q^{57} -7.75991 q^{58} +(-3.84234 - 6.65105i) q^{59} +4.32526 q^{60} +(-1.88706 - 11.5105i) q^{61} +(-2.84432 - 10.2443i) q^{62} +(-1.12449 + 0.378885i) q^{63} +(2.02112 - 2.98093i) q^{64} +(-11.8238 + 5.47027i) q^{65} +(7.21824 + 1.58885i) q^{66} +(-0.875003 - 1.65043i) q^{67} +(-1.12187 + 0.675010i) q^{68} +(-3.25189 - 1.50448i) q^{69} +(5.10274 + 3.87900i) q^{70} +(2.55264 + 3.76487i) q^{71} +(-0.805296 - 0.484530i) q^{72} +(-0.451075 + 8.31958i) q^{73} +(-9.77832 - 3.29470i) q^{74} +(-2.66122 + 2.02300i) q^{75} +(5.52054 - 1.21516i) q^{76} +(3.03598 + 3.57423i) q^{77} +(-8.38571 - 0.912001i) q^{78} +(-3.71762 + 13.3896i) q^{79} +(0.743176 + 13.7071i) q^{80} +(0.468408 - 0.883512i) q^{81} +(8.04202 - 9.46780i) q^{82} +(11.1642 - 10.5753i) q^{83} +(0.657696 + 1.65069i) q^{84} +(0.934763 - 2.34608i) q^{85} +(12.4671 + 11.8095i) q^{86} +(4.12503 - 0.448624i) q^{87} +(-0.600905 + 3.66536i) q^{88} +(-0.307465 + 1.87545i) q^{89} +(-5.37007 + 0.584031i) q^{90} +(-3.88559 - 3.68062i) q^{91} +(-1.98597 + 4.98441i) q^{92} +(2.10424 + 5.28125i) q^{93} +(-12.8470 + 12.1694i) q^{94} +(-7.05864 + 8.31008i) q^{95} +(-3.28275 + 6.19192i) q^{96} +(0.436458 + 8.04999i) q^{97} +(2.79776 - 10.0766i) q^{98} +(-3.92894 - 0.427298i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{13}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.302557 + 1.84551i 0.213940 + 1.30498i 0.847299 + 0.531117i \(0.178227\pi\)
−0.633359 + 0.773858i \(0.718324\pi\)
\(3\) −0.267528 0.963550i −0.154458 0.556306i
\(4\) −1.41907 + 0.478141i −0.709536 + 0.239071i
\(5\) 1.62093 2.39070i 0.724903 1.06915i −0.269449 0.963015i \(-0.586841\pi\)
0.994352 0.106137i \(-0.0338482\pi\)
\(6\) 1.69730 0.785256i 0.692921 0.320579i
\(7\) 1.15886 + 0.255085i 0.438009 + 0.0964130i 0.428500 0.903542i \(-0.359042\pi\)
0.00950872 + 0.999955i \(0.496973\pi\)
\(8\) 0.440222 + 0.830346i 0.155642 + 0.293572i
\(9\) −0.856857 + 0.515554i −0.285619 + 0.171851i
\(10\) 4.90248 + 2.26813i 1.55030 + 0.717246i
\(11\) 3.14625 + 2.39171i 0.948629 + 0.721129i 0.960348 0.278802i \(-0.0899374\pi\)
−0.0117196 + 0.999931i \(0.503731\pi\)
\(12\) 0.840355 + 1.23943i 0.242590 + 0.357793i
\(13\) −3.86478 2.32536i −1.07190 0.644940i −0.133694 0.991023i \(-0.542684\pi\)
−0.938204 + 0.346083i \(0.887512\pi\)
\(14\) −0.120141 + 2.21587i −0.0321091 + 0.592217i
\(15\) −2.73720 0.922270i −0.706742 0.238129i
\(16\) −3.78346 + 2.87611i −0.945865 + 0.719028i
\(17\) 0.853899 0.187957i 0.207101 0.0455864i −0.110208 0.993909i \(-0.535152\pi\)
0.317309 + 0.948322i \(0.397221\pi\)
\(18\) −1.21071 1.42536i −0.285367 0.335960i
\(19\) −3.75273 0.408134i −0.860935 0.0936323i −0.333010 0.942923i \(-0.608064\pi\)
−0.527925 + 0.849291i \(0.677030\pi\)
\(20\) −1.15713 + 4.16761i −0.258742 + 0.931905i
\(21\) −0.0642415 1.18486i −0.0140186 0.258559i
\(22\) −3.46202 + 6.53007i −0.738106 + 1.39222i
\(23\) 2.31962 2.73087i 0.483674 0.569425i −0.465149 0.885232i \(-0.653999\pi\)
0.948823 + 0.315807i \(0.102275\pi\)
\(24\) 0.682308 0.646317i 0.139276 0.131929i
\(25\) −1.23732 3.10543i −0.247463 0.621085i
\(26\) 3.12217 7.83606i 0.612308 1.53678i
\(27\) 0.725995 + 0.687699i 0.139718 + 0.132348i
\(28\) −1.76648 + 0.192116i −0.333833 + 0.0363065i
\(29\) −0.671290 + 4.09469i −0.124655 + 0.760365i 0.848325 + 0.529476i \(0.177612\pi\)
−0.972980 + 0.230888i \(0.925837\pi\)
\(30\) 0.873904 5.33058i 0.159552 0.973226i
\(31\) −5.65169 + 0.614658i −1.01507 + 0.110396i −0.600504 0.799622i \(-0.705033\pi\)
−0.414570 + 0.910018i \(0.636068\pi\)
\(32\) −5.08799 4.81960i −0.899439 0.851994i
\(33\) 1.46283 3.67142i 0.254645 0.639112i
\(34\) 0.605231 + 1.51901i 0.103796 + 0.260509i
\(35\) 2.48827 2.35701i 0.420594 0.398408i
\(36\) 0.969435 1.14131i 0.161573 0.190218i
\(37\) −2.58442 + 4.87473i −0.424876 + 0.801401i −0.999859 0.0167639i \(-0.994664\pi\)
0.574984 + 0.818165i \(0.305008\pi\)
\(38\) −0.382196 7.04920i −0.0620004 1.14353i
\(39\) −1.20666 + 4.34601i −0.193221 + 0.695919i
\(40\) 2.69868 + 0.293499i 0.426698 + 0.0464062i
\(41\) −4.30020 5.06259i −0.671579 0.790644i 0.315833 0.948815i \(-0.397716\pi\)
−0.987412 + 0.158171i \(0.949440\pi\)
\(42\) 2.16725 0.477047i 0.334413 0.0736099i
\(43\) 7.31003 5.55694i 1.11477 0.847426i 0.125293 0.992120i \(-0.460013\pi\)
0.989476 + 0.144694i \(0.0462199\pi\)
\(44\) −5.60833 1.88967i −0.845488 0.284878i
\(45\) −0.156375 + 2.88416i −0.0233110 + 0.429946i
\(46\) 5.74167 + 3.45465i 0.846563 + 0.509360i
\(47\) 5.31007 + 7.83177i 0.774554 + 1.14238i 0.986285 + 0.165053i \(0.0527796\pi\)
−0.211731 + 0.977328i \(0.567910\pi\)
\(48\) 3.78346 + 2.87611i 0.546095 + 0.415131i
\(49\) −5.07513 2.34801i −0.725019 0.335430i
\(50\) 5.35675 3.22305i 0.757559 0.455808i
\(51\) −0.409549 0.772491i −0.0573483 0.108170i
\(52\) 6.59626 + 1.45195i 0.914737 + 0.201349i
\(53\) −9.18831 + 4.25096i −1.26211 + 0.583915i −0.932830 0.360317i \(-0.882668\pi\)
−0.329281 + 0.944232i \(0.606806\pi\)
\(54\) −1.04950 + 1.54790i −0.142819 + 0.210643i
\(55\) 10.8177 3.64491i 1.45866 0.491480i
\(56\) 0.298348 + 1.07455i 0.0398684 + 0.143593i
\(57\) 0.610704 + 3.72513i 0.0808897 + 0.493406i
\(58\) −7.75991 −1.01893
\(59\) −3.84234 6.65105i −0.500230 0.865893i
\(60\) 4.32526 0.558389
\(61\) −1.88706 11.5105i −0.241613 1.47377i −0.777179 0.629280i \(-0.783350\pi\)
0.535566 0.844494i \(-0.320098\pi\)
\(62\) −2.84432 10.2443i −0.361229 1.30103i
\(63\) −1.12449 + 0.378885i −0.141672 + 0.0477350i
\(64\) 2.02112 2.98093i 0.252640 0.372616i
\(65\) −11.8238 + 5.47027i −1.46656 + 0.678503i
\(66\) 7.21824 + 1.58885i 0.888503 + 0.195574i
\(67\) −0.875003 1.65043i −0.106899 0.201632i 0.824292 0.566165i \(-0.191574\pi\)
−0.931191 + 0.364533i \(0.881229\pi\)
\(68\) −1.12187 + 0.675010i −0.136047 + 0.0818570i
\(69\) −3.25189 1.50448i −0.391482 0.181119i
\(70\) 5.10274 + 3.87900i 0.609894 + 0.463629i
\(71\) 2.55264 + 3.76487i 0.302943 + 0.446808i 0.948441 0.316955i \(-0.102660\pi\)
−0.645498 + 0.763762i \(0.723350\pi\)
\(72\) −0.805296 0.484530i −0.0949050 0.0571024i
\(73\) −0.451075 + 8.31958i −0.0527943 + 0.973733i 0.845400 + 0.534134i \(0.179362\pi\)
−0.898194 + 0.439599i \(0.855121\pi\)
\(74\) −9.77832 3.29470i −1.13671 0.383001i
\(75\) −2.66122 + 2.02300i −0.307291 + 0.233596i
\(76\) 5.52054 1.21516i 0.633250 0.139389i
\(77\) 3.03598 + 3.57423i 0.345982 + 0.407321i
\(78\) −8.38571 0.912001i −0.949494 0.103264i
\(79\) −3.71762 + 13.3896i −0.418264 + 1.50645i 0.391766 + 0.920065i \(0.371864\pi\)
−0.810031 + 0.586387i \(0.800550\pi\)
\(80\) 0.743176 + 13.7071i 0.0830896 + 1.53250i
\(81\) 0.468408 0.883512i 0.0520454 0.0981680i
\(82\) 8.04202 9.46780i 0.888093 1.04554i
\(83\) 11.1642 10.5753i 1.22543 1.16079i 0.243840 0.969815i \(-0.421593\pi\)
0.981594 0.190978i \(-0.0611658\pi\)
\(84\) 0.657696 + 1.65069i 0.0717605 + 0.180105i
\(85\) 0.934763 2.34608i 0.101389 0.254468i
\(86\) 12.4671 + 11.8095i 1.34436 + 1.27345i
\(87\) 4.12503 0.448624i 0.442249 0.0480975i
\(88\) −0.600905 + 3.66536i −0.0640567 + 0.390729i
\(89\) −0.307465 + 1.87545i −0.0325912 + 0.198798i −0.998103 0.0615604i \(-0.980392\pi\)
0.965512 + 0.260358i \(0.0838406\pi\)
\(90\) −5.37007 + 0.584031i −0.566055 + 0.0615622i
\(91\) −3.88559 3.68062i −0.407320 0.385834i
\(92\) −1.98597 + 4.98441i −0.207052 + 0.519660i
\(93\) 2.10424 + 5.28125i 0.218200 + 0.547640i
\(94\) −12.8470 + 12.1694i −1.32507 + 1.25517i
\(95\) −7.05864 + 8.31008i −0.724202 + 0.852596i
\(96\) −3.28275 + 6.19192i −0.335044 + 0.631960i
\(97\) 0.436458 + 8.04999i 0.0443156 + 0.817353i 0.933230 + 0.359279i \(0.116977\pi\)
−0.888914 + 0.458073i \(0.848540\pi\)
\(98\) 2.79776 10.0766i 0.282617 1.01789i
\(99\) −3.92894 0.427298i −0.394873 0.0429451i
\(100\) 3.24067 + 3.81522i 0.324067 + 0.381522i
\(101\) −12.7461 + 2.80564i −1.26829 + 0.279171i −0.797631 0.603145i \(-0.793914\pi\)
−0.470656 + 0.882317i \(0.655983\pi\)
\(102\) 1.30173 0.989550i 0.128890 0.0979800i
\(103\) 5.37770 + 1.81196i 0.529881 + 0.178538i 0.571509 0.820595i \(-0.306358\pi\)
−0.0416285 + 0.999133i \(0.513255\pi\)
\(104\) 0.229495 4.23278i 0.0225038 0.415059i
\(105\) −2.93678 1.76700i −0.286600 0.172442i
\(106\) −10.6252 15.6710i −1.03201 1.52210i
\(107\) 10.2068 + 7.75903i 0.986731 + 0.750093i 0.968314 0.249737i \(-0.0803442\pi\)
0.0184172 + 0.999830i \(0.494137\pi\)
\(108\) −1.35906 0.628767i −0.130775 0.0605032i
\(109\) 15.9202 9.57886i 1.52488 0.917489i 0.527174 0.849757i \(-0.323252\pi\)
0.997704 0.0677313i \(-0.0215761\pi\)
\(110\) 9.99970 + 18.8614i 0.953434 + 1.79837i
\(111\) 5.38845 + 1.18609i 0.511449 + 0.112579i
\(112\) −5.11816 + 2.36791i −0.483621 + 0.223747i
\(113\) 0.800441 1.18056i 0.0752991 0.111058i −0.788175 0.615452i \(-0.788974\pi\)
0.863474 + 0.504394i \(0.168284\pi\)
\(114\) −6.69000 + 2.25412i −0.626576 + 0.211118i
\(115\) −2.76873 9.97205i −0.258185 0.929899i
\(116\) −1.00523 6.13163i −0.0933333 0.569308i
\(117\) 4.51042 0.416988
\(118\) 11.1121 9.10341i 1.02295 0.838036i
\(119\) 1.03750 0.0951071
\(120\) −0.439172 2.67883i −0.0400907 0.244542i
\(121\) 1.23576 + 4.45079i 0.112341 + 0.404617i
\(122\) 20.6719 6.96518i 1.87155 0.630598i
\(123\) −3.72763 + 5.49785i −0.336109 + 0.495724i
\(124\) 7.72627 3.57455i 0.693839 0.321004i
\(125\) 4.67461 + 1.02896i 0.418110 + 0.0920330i
\(126\) −1.03946 1.96063i −0.0926023 0.174666i
\(127\) 2.81601 1.69434i 0.249881 0.150348i −0.385103 0.922873i \(-0.625834\pi\)
0.634984 + 0.772525i \(0.281007\pi\)
\(128\) −6.60828 3.05732i −0.584095 0.270231i
\(129\) −7.31003 5.55694i −0.643612 0.489261i
\(130\) −13.6728 20.1659i −1.19918 1.76867i
\(131\) 13.2655 + 7.98156i 1.15901 + 0.697352i 0.959268 0.282496i \(-0.0911625\pi\)
0.199740 + 0.979849i \(0.435990\pi\)
\(132\) −0.320401 + 5.90945i −0.0278873 + 0.514351i
\(133\) −4.24479 1.43024i −0.368070 0.124017i
\(134\) 2.78115 2.11418i 0.240255 0.182637i
\(135\) 2.82087 0.620920i 0.242782 0.0534403i
\(136\) 0.531975 + 0.626289i 0.0456165 + 0.0537039i
\(137\) 11.8886 + 1.29296i 1.01571 + 0.110465i 0.600802 0.799398i \(-0.294848\pi\)
0.414908 + 0.909863i \(0.363814\pi\)
\(138\) 1.79267 6.45660i 0.152602 0.549622i
\(139\) −0.490886 9.05387i −0.0416364 0.767939i −0.942575 0.333993i \(-0.891604\pi\)
0.900939 0.433946i \(-0.142879\pi\)
\(140\) −2.40405 + 4.53451i −0.203179 + 0.383236i
\(141\) 6.12571 7.21174i 0.515878 0.607338i
\(142\) −6.17580 + 5.85003i −0.518261 + 0.490923i
\(143\) −6.59796 16.5596i −0.551749 1.38478i
\(144\) 1.75909 4.41499i 0.146591 0.367916i
\(145\) 8.70104 + 8.24206i 0.722582 + 0.684466i
\(146\) −15.4904 + 1.68468i −1.28199 + 0.139425i
\(147\) −0.904680 + 5.51830i −0.0746168 + 0.455142i
\(148\) 1.33667 8.15332i 0.109873 0.670199i
\(149\) −3.05282 + 0.332014i −0.250097 + 0.0271997i −0.232309 0.972642i \(-0.574628\pi\)
−0.0177882 + 0.999842i \(0.505662\pi\)
\(150\) −4.53865 4.29924i −0.370579 0.351031i
\(151\) 7.92992 19.9026i 0.645328 1.61965i −0.132507 0.991182i \(-0.542303\pi\)
0.777835 0.628468i \(-0.216318\pi\)
\(152\) −1.31314 3.29573i −0.106510 0.267319i
\(153\) −0.634767 + 0.601284i −0.0513179 + 0.0486109i
\(154\) −5.67773 + 6.68434i −0.457524 + 0.538639i
\(155\) −7.69154 + 14.5078i −0.617800 + 1.16529i
\(156\) −0.365663 6.74426i −0.0292765 0.539973i
\(157\) 1.59809 5.75580i 0.127542 0.459363i −0.872004 0.489498i \(-0.837180\pi\)
0.999546 + 0.0301351i \(0.00959377\pi\)
\(158\) −25.8355 2.80979i −2.05537 0.223535i
\(159\) 6.55415 + 7.71614i 0.519778 + 0.611930i
\(160\) −19.7695 + 4.35160i −1.56292 + 0.344024i
\(161\) 3.38472 2.57300i 0.266753 0.202781i
\(162\) 1.77225 + 0.597142i 0.139241 + 0.0469159i
\(163\) 0.00987540 0.182141i 0.000773501 0.0142664i −0.998121 0.0612707i \(-0.980485\pi\)
0.998895 + 0.0470043i \(0.0149675\pi\)
\(164\) 8.52293 + 5.12808i 0.665529 + 0.400436i
\(165\) −6.40610 9.44829i −0.498714 0.735548i
\(166\) 22.8947 + 17.4041i 1.77698 + 1.35082i
\(167\) −13.4410 6.21845i −1.04009 0.481198i −0.175926 0.984403i \(-0.556292\pi\)
−0.864167 + 0.503205i \(0.832154\pi\)
\(168\) 0.955567 0.574946i 0.0737236 0.0443580i
\(169\) 3.43993 + 6.48839i 0.264610 + 0.499107i
\(170\) 4.61254 + 1.01530i 0.353766 + 0.0778697i
\(171\) 3.42597 1.58502i 0.261990 0.121210i
\(172\) −7.71646 + 11.3809i −0.588375 + 0.867788i
\(173\) 11.2785 3.80016i 0.857485 0.288920i 0.143989 0.989579i \(-0.454007\pi\)
0.713496 + 0.700659i \(0.247110\pi\)
\(174\) 2.07599 + 7.47706i 0.157381 + 0.566834i
\(175\) −0.641730 3.91438i −0.0485103 0.295899i
\(176\) −18.7825 −1.41579
\(177\) −5.38068 + 5.48163i −0.404437 + 0.412024i
\(178\) −3.55420 −0.266399
\(179\) 0.849504 + 5.18175i 0.0634949 + 0.387302i 0.999387 + 0.0350145i \(0.0111477\pi\)
−0.935892 + 0.352287i \(0.885404\pi\)
\(180\) −1.15713 4.16761i −0.0862474 0.310635i
\(181\) −16.2009 + 5.45871i −1.20420 + 0.405743i −0.848670 0.528922i \(-0.822596\pi\)
−0.355531 + 0.934665i \(0.615700\pi\)
\(182\) 5.61703 8.28450i 0.416362 0.614088i
\(183\) −10.5861 + 4.89767i −0.782550 + 0.362046i
\(184\) 3.28871 + 0.723900i 0.242447 + 0.0533666i
\(185\) 7.46483 + 14.0802i 0.548825 + 1.03519i
\(186\) −9.10996 + 5.48128i −0.667975 + 0.401907i
\(187\) 3.13612 + 1.45092i 0.229336 + 0.106102i
\(188\) −11.2801 8.57489i −0.822684 0.625388i
\(189\) 0.665907 + 0.982139i 0.0484376 + 0.0714401i
\(190\) −17.4720 10.5126i −1.26755 0.762661i
\(191\) −1.13544 + 20.9420i −0.0821578 + 1.51531i 0.609326 + 0.792920i \(0.291440\pi\)
−0.691484 + 0.722392i \(0.743043\pi\)
\(192\) −3.41298 1.14997i −0.246310 0.0829916i
\(193\) 7.85441 5.97077i 0.565373 0.429785i −0.283049 0.959105i \(-0.591346\pi\)
0.848422 + 0.529320i \(0.177553\pi\)
\(194\) −14.7243 + 3.24107i −1.05714 + 0.232695i
\(195\) 8.43407 + 9.92936i 0.603976 + 0.711056i
\(196\) 8.32467 + 0.905362i 0.594619 + 0.0646687i
\(197\) 3.85177 13.8728i 0.274427 0.988397i −0.689948 0.723859i \(-0.742367\pi\)
0.964375 0.264538i \(-0.0852196\pi\)
\(198\) −0.400143 7.38020i −0.0284369 0.524488i
\(199\) 1.07304 2.02396i 0.0760654 0.143475i −0.842562 0.538599i \(-0.818954\pi\)
0.918628 + 0.395125i \(0.129299\pi\)
\(200\) 2.03389 2.39448i 0.143818 0.169315i
\(201\) −1.35618 + 1.28465i −0.0956579 + 0.0906120i
\(202\) −9.03426 22.6743i −0.635649 1.59536i
\(203\) −1.82243 + 4.57394i −0.127909 + 0.321028i
\(204\) 0.950539 + 0.900398i 0.0665510 + 0.0630405i
\(205\) −19.0734 + 2.07436i −1.33215 + 0.144880i
\(206\) −1.71694 + 10.4728i −0.119625 + 0.729678i
\(207\) −0.579673 + 3.53585i −0.0402901 + 0.245759i
\(208\) 21.3102 2.31763i 1.47760 0.160699i
\(209\) −10.8309 10.2595i −0.749187 0.709668i
\(210\) 2.37248 5.95449i 0.163717 0.410899i
\(211\) −6.90875 17.3396i −0.475618 1.19371i −0.949681 0.313220i \(-0.898592\pi\)
0.474063 0.880491i \(-0.342787\pi\)
\(212\) 11.0063 10.4257i 0.755917 0.716043i
\(213\) 2.94473 3.46681i 0.201770 0.237542i
\(214\) −11.2312 + 21.1844i −0.767752 + 1.44813i
\(215\) −1.43589 26.4835i −0.0979271 1.80616i
\(216\) −0.251430 + 0.905568i −0.0171076 + 0.0616161i
\(217\) −6.70632 0.729356i −0.455255 0.0495119i
\(218\) 22.4947 + 26.4828i 1.52353 + 1.79364i
\(219\) 8.13701 1.79109i 0.549848 0.121031i
\(220\) −13.6083 + 10.3448i −0.917474 + 0.697446i
\(221\) −3.73720 1.25921i −0.251392 0.0847037i
\(222\) −0.558630 + 10.3033i −0.0374928 + 0.691514i
\(223\) 12.1848 + 7.33135i 0.815954 + 0.490943i 0.861342 0.508026i \(-0.169625\pi\)
−0.0453876 + 0.998969i \(0.514452\pi\)
\(224\) −4.66688 6.88313i −0.311819 0.459898i
\(225\) 2.66122 + 2.02300i 0.177414 + 0.134867i
\(226\) 2.42092 + 1.12004i 0.161037 + 0.0745038i
\(227\) 3.62467 2.18089i 0.240578 0.144751i −0.390159 0.920747i \(-0.627580\pi\)
0.630737 + 0.775996i \(0.282753\pi\)
\(228\) −2.64777 4.99423i −0.175353 0.330751i
\(229\) 14.3527 + 3.15926i 0.948450 + 0.208770i 0.662151 0.749370i \(-0.269644\pi\)
0.286299 + 0.958140i \(0.407575\pi\)
\(230\) 17.5659 8.12683i 1.15826 0.535868i
\(231\) 2.63174 3.88152i 0.173156 0.255385i
\(232\) −3.69553 + 1.24517i −0.242623 + 0.0817493i
\(233\) −7.16169 25.7941i −0.469178 1.68983i −0.697786 0.716307i \(-0.745831\pi\)
0.228608 0.973519i \(-0.426583\pi\)
\(234\) 1.36466 + 8.32403i 0.0892104 + 0.544159i
\(235\) 27.3306 1.78286
\(236\) 8.63270 + 7.60114i 0.561941 + 0.494792i
\(237\) 13.8962 0.902652
\(238\) 0.313901 + 1.91471i 0.0203472 + 0.124112i
\(239\) −0.476138 1.71489i −0.0307988 0.110927i 0.946553 0.322548i \(-0.104540\pi\)
−0.977352 + 0.211621i \(0.932126\pi\)
\(240\) 13.0086 4.38312i 0.839704 0.282929i
\(241\) −8.01002 + 11.8139i −0.515971 + 0.761000i −0.993029 0.117872i \(-0.962393\pi\)
0.477058 + 0.878872i \(0.341703\pi\)
\(242\) −7.84011 + 3.62722i −0.503981 + 0.233167i
\(243\) −0.976621 0.214970i −0.0626502 0.0137904i
\(244\) 8.18154 + 15.4320i 0.523769 + 0.987934i
\(245\) −13.8398 + 8.32714i −0.884194 + 0.532002i
\(246\) −11.2742 5.21599i −0.718815 0.332559i
\(247\) 13.5544 + 10.3038i 0.862447 + 0.655616i
\(248\) −2.99838 4.42227i −0.190397 0.280815i
\(249\) −13.1766 7.92810i −0.835034 0.502423i
\(250\) −0.484625 + 8.93838i −0.0306504 + 0.565313i
\(251\) 10.4444 + 3.51914i 0.659246 + 0.222126i 0.628987 0.777416i \(-0.283470\pi\)
0.0302597 + 0.999542i \(0.490367\pi\)
\(252\) 1.41457 1.07533i 0.0891097 0.0677394i
\(253\) 13.8295 3.04411i 0.869456 0.191382i
\(254\) 3.97893 + 4.68436i 0.249660 + 0.293923i
\(255\) −2.51064 0.273049i −0.157222 0.0170990i
\(256\) 5.56995 20.0611i 0.348122 1.25382i
\(257\) −0.699976 12.9103i −0.0436633 0.805322i −0.935578 0.353119i \(-0.885121\pi\)
0.891915 0.452203i \(-0.149362\pi\)
\(258\) 8.04371 15.1720i 0.500780 0.944571i
\(259\) −4.23846 + 4.98990i −0.263365 + 0.310057i
\(260\) 14.1633 13.4161i 0.878368 0.832034i
\(261\) −1.53583 3.85465i −0.0950657 0.238597i
\(262\) −10.7165 + 26.8965i −0.662069 + 1.66167i
\(263\) 17.2907 + 16.3786i 1.06619 + 1.00995i 0.999926 + 0.0121475i \(0.00386677\pi\)
0.0662646 + 0.997802i \(0.478892\pi\)
\(264\) 3.69252 0.401585i 0.227259 0.0247159i
\(265\) −4.73086 + 28.8570i −0.290614 + 1.77267i
\(266\) 1.35523 8.26654i 0.0830945 0.506854i
\(267\) 1.88935 0.205479i 0.115626 0.0125751i
\(268\) 2.03083 + 1.92371i 0.124053 + 0.117509i
\(269\) −2.85747 + 7.17171i −0.174223 + 0.437267i −0.989994 0.141108i \(-0.954934\pi\)
0.815771 + 0.578375i \(0.196313\pi\)
\(270\) 1.99939 + 5.01809i 0.121679 + 0.305391i
\(271\) −22.3118 + 21.1349i −1.35535 + 1.28385i −0.430974 + 0.902364i \(0.641830\pi\)
−0.924373 + 0.381489i \(0.875411\pi\)
\(272\) −2.69011 + 3.16704i −0.163112 + 0.192030i
\(273\) −2.50696 + 4.72863i −0.151728 + 0.286190i
\(274\) 1.21079 + 22.3317i 0.0731466 + 1.34911i
\(275\) 3.53439 12.7297i 0.213132 0.767632i
\(276\) 5.33403 + 0.580110i 0.321071 + 0.0349185i
\(277\) −9.15014 10.7724i −0.549779 0.647250i 0.415153 0.909752i \(-0.363728\pi\)
−0.964931 + 0.262502i \(0.915452\pi\)
\(278\) 16.5605 3.64524i 0.993233 0.218627i
\(279\) 4.52580 3.44043i 0.270953 0.205973i
\(280\) 3.05253 + 1.02852i 0.182423 + 0.0614656i
\(281\) 1.37726 25.4021i 0.0821607 1.51537i −0.609294 0.792945i \(-0.708547\pi\)
0.691454 0.722420i \(-0.256970\pi\)
\(282\) 15.1627 + 9.12312i 0.902928 + 0.543274i
\(283\) 6.48088 + 9.55858i 0.385248 + 0.568199i 0.970028 0.242994i \(-0.0781294\pi\)
−0.584780 + 0.811192i \(0.698819\pi\)
\(284\) −5.42253 4.12210i −0.321768 0.244602i
\(285\) 9.89556 + 4.57817i 0.586162 + 0.271188i
\(286\) 28.5647 17.1868i 1.68907 1.01628i
\(287\) −3.69195 6.96376i −0.217929 0.411058i
\(288\) 6.84445 + 1.50658i 0.403313 + 0.0887759i
\(289\) −14.7350 + 6.81712i −0.866763 + 0.401007i
\(290\) −12.5783 + 18.5516i −0.738622 + 1.08939i
\(291\) 7.63980 2.57415i 0.447853 0.150899i
\(292\) −3.33783 12.0218i −0.195332 0.703521i
\(293\) 1.76218 + 10.7488i 0.102947 + 0.627952i 0.987019 + 0.160601i \(0.0513432\pi\)
−0.884072 + 0.467351i \(0.845209\pi\)
\(294\) −10.4578 −0.609913
\(295\) −22.1288 1.59503i −1.28839 0.0928664i
\(296\) −5.18543 −0.301397
\(297\) 0.639380 + 3.90005i 0.0371006 + 0.226304i
\(298\) −1.53639 5.53357i −0.0890006 0.320551i
\(299\) −15.3151 + 5.16025i −0.885694 + 0.298425i
\(300\) 2.80918 4.14323i 0.162188 0.239209i
\(301\) 9.88881 4.57505i 0.569982 0.263702i
\(302\) 39.1298 + 8.61311i 2.25166 + 0.495629i
\(303\) 6.11332 + 11.5309i 0.351201 + 0.662436i
\(304\) 15.3721 9.24911i 0.881652 0.530473i
\(305\) −30.5770 14.1464i −1.75083 0.810022i
\(306\) −1.30173 0.989550i −0.0744150 0.0565688i
\(307\) 0.881102 + 1.29953i 0.0502872 + 0.0741680i 0.852001 0.523539i \(-0.175389\pi\)
−0.801714 + 0.597708i \(0.796078\pi\)
\(308\) −6.01726 3.62046i −0.342865 0.206295i
\(309\) 0.307225 5.66644i 0.0174774 0.322352i
\(310\) −29.1015 9.80542i −1.65285 0.556910i
\(311\) −20.3931 + 15.5024i −1.15639 + 0.879062i −0.994184 0.107695i \(-0.965653\pi\)
−0.162202 + 0.986758i \(0.551860\pi\)
\(312\) −4.13990 + 0.911260i −0.234375 + 0.0515899i
\(313\) 11.3386 + 13.3489i 0.640897 + 0.754522i 0.982691 0.185252i \(-0.0593103\pi\)
−0.341794 + 0.939775i \(0.611034\pi\)
\(314\) 11.1059 + 1.20784i 0.626744 + 0.0681625i
\(315\) −0.916923 + 3.30246i −0.0516628 + 0.186072i
\(316\) −1.12657 20.7784i −0.0633747 1.16888i
\(317\) 9.00923 16.9932i 0.506009 0.954433i −0.490540 0.871419i \(-0.663200\pi\)
0.996548 0.0830145i \(-0.0264548\pi\)
\(318\) −12.2572 + 14.4303i −0.687352 + 0.809213i
\(319\) −11.9054 + 11.2774i −0.666573 + 0.631411i
\(320\) −3.85039 9.66375i −0.215243 0.540220i
\(321\) 4.74559 11.9105i 0.264873 0.664782i
\(322\) 5.77257 + 5.46807i 0.321693 + 0.304724i
\(323\) −3.28116 + 0.356848i −0.182569 + 0.0198556i
\(324\) −0.242262 + 1.47773i −0.0134590 + 0.0820963i
\(325\) −2.43929 + 14.8790i −0.135307 + 0.825339i
\(326\) 0.339131 0.0368828i 0.0187828 0.00204275i
\(327\) −13.4888 12.7773i −0.745933 0.706585i
\(328\) 2.31066 5.79932i 0.127585 0.320214i
\(329\) 4.15588 + 10.4305i 0.229121 + 0.575050i
\(330\) 15.4987 14.6812i 0.853177 0.808173i
\(331\) −1.58762 + 1.86909i −0.0872634 + 0.102734i −0.804061 0.594547i \(-0.797331\pi\)
0.716797 + 0.697281i \(0.245607\pi\)
\(332\) −10.7864 + 20.3452i −0.591979 + 1.11659i
\(333\) −0.298709 5.50936i −0.0163691 0.301911i
\(334\) 7.40958 26.6869i 0.405434 1.46024i
\(335\) −5.36400 0.583370i −0.293067 0.0318729i
\(336\) 3.65085 + 4.29812i 0.199170 + 0.234482i
\(337\) −4.18445 + 0.921067i −0.227942 + 0.0501737i −0.327472 0.944861i \(-0.606197\pi\)
0.0995308 + 0.995034i \(0.468266\pi\)
\(338\) −10.9336 + 8.31154i −0.594711 + 0.452088i
\(339\) −1.35167 0.455431i −0.0734127 0.0247356i
\(340\) −0.204740 + 3.77621i −0.0111036 + 0.204794i
\(341\) −19.2517 11.5834i −1.04254 0.627274i
\(342\) 3.96173 + 5.84311i 0.214226 + 0.315959i
\(343\) −11.8950 9.04232i −0.642268 0.488240i
\(344\) 7.83222 + 3.62357i 0.422285 + 0.195370i
\(345\) −8.86786 + 5.33561i −0.477430 + 0.287260i
\(346\) 10.4256 + 19.6648i 0.560484 + 1.05719i
\(347\) 4.50870 + 0.992440i 0.242040 + 0.0532770i 0.334333 0.942455i \(-0.391489\pi\)
−0.0922938 + 0.995732i \(0.529420\pi\)
\(348\) −5.63921 + 2.60898i −0.302293 + 0.139856i
\(349\) −1.37485 + 2.02775i −0.0735941 + 0.108543i −0.862705 0.505708i \(-0.831231\pi\)
0.789111 + 0.614251i \(0.210542\pi\)
\(350\) 7.02988 2.36864i 0.375763 0.126609i
\(351\) −1.20666 4.34601i −0.0644070 0.231973i
\(352\) −4.48097 27.3327i −0.238836 1.45684i
\(353\) 6.40798 0.341063 0.170531 0.985352i \(-0.445452\pi\)
0.170531 + 0.985352i \(0.445452\pi\)
\(354\) −11.7444 8.27162i −0.624207 0.439632i
\(355\) 13.1383 0.697310
\(356\) −0.460417 2.80842i −0.0244020 0.148846i
\(357\) −0.277560 0.999680i −0.0146900 0.0529087i
\(358\) −9.30596 + 3.13554i −0.491835 + 0.165719i
\(359\) −13.8222 + 20.3862i −0.729508 + 1.07594i 0.264258 + 0.964452i \(0.414873\pi\)
−0.993765 + 0.111491i \(0.964437\pi\)
\(360\) −2.46369 + 1.13983i −0.129848 + 0.0600741i
\(361\) −4.63939 1.02121i −0.244178 0.0537477i
\(362\) −14.9758 28.2474i −0.787111 1.48465i
\(363\) 3.95796 2.38143i 0.207739 0.124992i
\(364\) 7.27379 + 3.36521i 0.381250 + 0.176385i
\(365\) 19.1584 + 14.5639i 1.00280 + 0.762307i
\(366\) −12.2416 18.0550i −0.639880 0.943752i
\(367\) −27.2409 16.3903i −1.42196 0.855566i −0.423235 0.906020i \(-0.639106\pi\)
−0.998726 + 0.0504541i \(0.983933\pi\)
\(368\) −0.921909 + 17.0036i −0.0480578 + 0.886374i
\(369\) 6.29470 + 2.12093i 0.327689 + 0.110411i
\(370\) −23.7266 + 18.0365i −1.23349 + 0.937673i
\(371\) −11.7323 + 2.58248i −0.609113 + 0.134076i
\(372\) −5.51125 6.48835i −0.285745 0.336405i
\(373\) 11.5338 + 1.25438i 0.597199 + 0.0649493i 0.401726 0.915760i \(-0.368410\pi\)
0.195473 + 0.980709i \(0.437376\pi\)
\(374\) −1.72884 + 6.22673i −0.0893964 + 0.321977i
\(375\) −0.259137 4.77950i −0.0133818 0.246812i
\(376\) −4.16547 + 7.85692i −0.214818 + 0.405190i
\(377\) 12.1160 14.2641i 0.624007 0.734638i
\(378\) −1.61108 + 1.52609i −0.0828648 + 0.0784938i
\(379\) −4.78732 12.0153i −0.245908 0.617183i 0.753270 0.657711i \(-0.228475\pi\)
−0.999178 + 0.0405283i \(0.987096\pi\)
\(380\) 6.04334 15.1676i 0.310017 0.778083i
\(381\) −2.38594 2.26009i −0.122236 0.115788i
\(382\) −38.9923 + 4.24067i −1.99502 + 0.216972i
\(383\) 0.913356 5.57122i 0.0466703 0.284676i −0.953172 0.302428i \(-0.902203\pi\)
0.999842 + 0.0177521i \(0.00565098\pi\)
\(384\) −1.17797 + 7.18533i −0.0601133 + 0.366675i
\(385\) 13.4660 1.46452i 0.686291 0.0746386i
\(386\) 13.3955 + 12.6889i 0.681815 + 0.645849i
\(387\) −3.39875 + 8.53022i −0.172768 + 0.433615i
\(388\) −4.46840 11.2148i −0.226849 0.569347i
\(389\) 8.02265 7.59946i 0.406764 0.385308i −0.456781 0.889579i \(-0.650998\pi\)
0.863545 + 0.504272i \(0.168239\pi\)
\(390\) −15.7730 + 18.5694i −0.798696 + 0.940297i
\(391\) 1.46743 2.76787i 0.0742113 0.139977i
\(392\) −0.284525 5.24776i −0.0143707 0.265052i
\(393\) 4.14175 14.9172i 0.208924 0.752475i
\(394\) 26.7678 + 2.91118i 1.34854 + 0.146663i
\(395\) 25.9846 + 30.5914i 1.30742 + 1.53922i
\(396\) 5.77976 1.27222i 0.290444 0.0639316i
\(397\) −26.8202 + 20.3882i −1.34607 + 1.02325i −0.349807 + 0.936822i \(0.613753\pi\)
−0.996258 + 0.0864304i \(0.972454\pi\)
\(398\) 4.05990 + 1.36794i 0.203504 + 0.0685686i
\(399\) −0.242502 + 4.47269i −0.0121403 + 0.223915i
\(400\) 13.6129 + 8.19060i 0.680644 + 0.409530i
\(401\) 21.5174 + 31.7358i 1.07453 + 1.58481i 0.776354 + 0.630298i \(0.217067\pi\)
0.298174 + 0.954512i \(0.403623\pi\)
\(402\) −2.78115 2.11418i −0.138711 0.105446i
\(403\) 23.2719 + 10.7667i 1.15925 + 0.536328i
\(404\) 16.7462 10.0759i 0.833155 0.501292i
\(405\) −1.35295 2.55193i −0.0672286 0.126807i
\(406\) −8.99266 1.97943i −0.446298 0.0982377i
\(407\) −19.7902 + 9.15591i −0.980963 + 0.453842i
\(408\) 0.461143 0.680134i 0.0228300 0.0336717i
\(409\) 19.2455 6.48456i 0.951628 0.320641i 0.199678 0.979862i \(-0.436010\pi\)
0.751949 + 0.659221i \(0.229114\pi\)
\(410\) −9.59906 34.5727i −0.474064 1.70742i
\(411\) −1.93470 11.8011i −0.0954317 0.582108i
\(412\) −8.49773 −0.418653
\(413\) −2.75616 8.68777i −0.135622 0.427497i
\(414\) −6.70085 −0.329329
\(415\) −7.18592 43.8322i −0.352743 2.15164i
\(416\) 8.45667 + 30.4582i 0.414622 + 1.49333i
\(417\) −8.59253 + 2.89516i −0.420778 + 0.141777i
\(418\) 15.6572 23.0926i 0.765818 1.12950i
\(419\) 6.55876 3.03441i 0.320417 0.148241i −0.253087 0.967444i \(-0.581446\pi\)
0.573504 + 0.819203i \(0.305584\pi\)
\(420\) 5.01238 + 1.10331i 0.244579 + 0.0538360i
\(421\) −17.8034 33.5808i −0.867684 1.63663i −0.766945 0.641713i \(-0.778224\pi\)
−0.100739 0.994913i \(-0.532121\pi\)
\(422\) 29.9103 17.9964i 1.45601 0.876051i
\(423\) −8.58767 3.97308i −0.417547 0.193178i
\(424\) −7.57467 5.75811i −0.367858 0.279639i
\(425\) −1.64023 2.41916i −0.0795629 0.117346i
\(426\) 7.28899 + 4.38564i 0.353153 + 0.212485i
\(427\) 0.749325 13.8205i 0.0362624 0.668820i
\(428\) −18.1941 6.13032i −0.879447 0.296320i
\(429\) −14.1909 + 10.7876i −0.685142 + 0.520832i
\(430\) 48.4412 10.6627i 2.33604 0.514202i
\(431\) −15.3179 18.0336i −0.737836 0.868648i 0.257384 0.966309i \(-0.417140\pi\)
−0.995220 + 0.0976615i \(0.968864\pi\)
\(432\) −4.72467 0.513839i −0.227316 0.0247221i
\(433\) −5.78217 + 20.8255i −0.277873 + 1.00081i 0.684485 + 0.729027i \(0.260027\pi\)
−0.962359 + 0.271783i \(0.912387\pi\)
\(434\) −0.683004 12.5973i −0.0327853 0.604689i
\(435\) 5.61386 10.5889i 0.269164 0.507698i
\(436\) −18.0119 + 21.2052i −0.862612 + 1.01555i
\(437\) −9.81946 + 9.30149i −0.469729 + 0.444951i
\(438\) 5.76739 + 14.4750i 0.275576 + 0.691645i
\(439\) 2.93715 7.37168i 0.140182 0.351831i −0.842077 0.539357i \(-0.818667\pi\)
0.982260 + 0.187526i \(0.0600467\pi\)
\(440\) 7.78873 + 7.37788i 0.371313 + 0.351727i
\(441\) 5.55919 0.604598i 0.264723 0.0287904i
\(442\) 1.19317 7.27804i 0.0567535 0.346181i
\(443\) 3.38241 20.6318i 0.160703 0.980245i −0.776157 0.630540i \(-0.782834\pi\)
0.936860 0.349705i \(-0.113718\pi\)
\(444\) −8.21373 + 0.893297i −0.389806 + 0.0423940i
\(445\) 3.98526 + 3.77504i 0.188919 + 0.178954i
\(446\) −9.84351 + 24.7053i −0.466104 + 1.16983i
\(447\) 1.13663 + 2.85272i 0.0537607 + 0.134929i
\(448\) 3.10259 2.93892i 0.146583 0.138851i
\(449\) 16.6475 19.5990i 0.785644 0.924932i −0.212997 0.977053i \(-0.568322\pi\)
0.998641 + 0.0521212i \(0.0165982\pi\)
\(450\) −2.92831 + 5.52338i −0.138042 + 0.260375i
\(451\) −1.42123 26.2130i −0.0669230 1.23432i
\(452\) −0.571408 + 2.05803i −0.0268768 + 0.0968014i
\(453\) −21.2986 2.31637i −1.00070 0.108832i
\(454\) 5.12153 + 6.02954i 0.240365 + 0.282980i
\(455\) −15.0975 + 3.32322i −0.707783 + 0.155795i
\(456\) −2.82430 + 2.14698i −0.132260 + 0.100542i
\(457\) −29.5864 9.96883i −1.38400 0.466322i −0.473848 0.880607i \(-0.657135\pi\)
−0.910147 + 0.414284i \(0.864032\pi\)
\(458\) −1.48796 + 27.4439i −0.0695280 + 1.28237i
\(459\) 0.749185 + 0.450770i 0.0349690 + 0.0210401i
\(460\) 8.69708 + 12.8272i 0.405503 + 0.598073i
\(461\) −25.9676 19.7400i −1.20943 0.919386i −0.211119 0.977460i \(-0.567711\pi\)
−0.998312 + 0.0580747i \(0.981504\pi\)
\(462\) 7.95965 + 3.68253i 0.370316 + 0.171327i
\(463\) 9.88101 5.94521i 0.459210 0.276297i −0.267095 0.963670i \(-0.586064\pi\)
0.726305 + 0.687373i \(0.241236\pi\)
\(464\) −9.23698 17.4228i −0.428816 0.808833i
\(465\) 16.0367 + 3.52994i 0.743684 + 0.163697i
\(466\) 45.4365 21.0211i 2.10480 0.973786i
\(467\) −5.53352 + 8.16133i −0.256061 + 0.377661i −0.933891 0.357557i \(-0.883610\pi\)
0.677831 + 0.735218i \(0.262920\pi\)
\(468\) −6.40061 + 2.15662i −0.295868 + 0.0996896i
\(469\) −0.593008 2.13582i −0.0273826 0.0986231i
\(470\) 8.26907 + 50.4391i 0.381424 + 2.32658i
\(471\) −5.97354 −0.275246
\(472\) 3.83119 6.11841i 0.176345 0.281623i
\(473\) 36.2898 1.66861
\(474\) 4.20437 + 25.6455i 0.193113 + 1.17794i
\(475\) 3.37588 + 12.1588i 0.154896 + 0.557885i
\(476\) −1.47228 + 0.496070i −0.0674820 + 0.0227373i
\(477\) 5.68147 8.37954i 0.260136 0.383673i
\(478\) 3.02080 1.39757i 0.138168 0.0639235i
\(479\) 25.1716 + 5.54068i 1.15012 + 0.253160i 0.748811 0.662783i \(-0.230625\pi\)
0.401308 + 0.915943i \(0.368556\pi\)
\(480\) 9.48188 + 17.8847i 0.432787 + 0.816322i
\(481\) 21.3237 12.8301i 0.972279 0.585001i
\(482\) −24.2262 11.2082i −1.10347 0.510521i
\(483\) −3.38472 2.57300i −0.154010 0.117075i
\(484\) −3.88174 5.72513i −0.176443 0.260233i
\(485\) 19.9525 + 12.0050i 0.905998 + 0.545121i
\(486\) 0.101248 1.86741i 0.00459270 0.0847073i
\(487\) −27.7445 9.34820i −1.25722 0.423608i −0.389671 0.920954i \(-0.627411\pi\)
−0.867552 + 0.497347i \(0.834308\pi\)
\(488\) 8.72701 6.63410i 0.395053 0.300312i
\(489\) −0.178144 + 0.0392124i −0.00805594 + 0.00177325i
\(490\) −19.5552 23.0221i −0.883413 1.04003i
\(491\) −5.10061 0.554725i −0.230187 0.0250344i −0.00770174 0.999970i \(-0.502452\pi\)
−0.222486 + 0.974936i \(0.571417\pi\)
\(492\) 2.66103 9.58418i 0.119969 0.432088i
\(493\) 0.196413 + 3.62263i 0.00884600 + 0.163155i
\(494\) −14.9148 + 28.1324i −0.671050 + 1.26573i
\(495\) −7.39009 + 8.70028i −0.332160 + 0.391049i
\(496\) 19.6151 18.5804i 0.880745 0.834286i
\(497\) 1.99780 + 5.01411i 0.0896137 + 0.224913i
\(498\) 10.6447 26.7163i 0.477003 1.19719i
\(499\) 24.8248 + 23.5153i 1.11131 + 1.05269i 0.998252 + 0.0591025i \(0.0188239\pi\)
0.113060 + 0.993588i \(0.463935\pi\)
\(500\) −7.12561 + 0.774956i −0.318667 + 0.0346571i
\(501\) −2.39595 + 14.6146i −0.107043 + 0.652934i
\(502\) −3.33458 + 20.3401i −0.148830 + 0.907822i
\(503\) −4.65227 + 0.505965i −0.207435 + 0.0225599i −0.211246 0.977433i \(-0.567752\pi\)
0.00381172 + 0.999993i \(0.498787\pi\)
\(504\) −0.809630 0.766922i −0.0360638 0.0341614i
\(505\) −13.9532 + 35.0199i −0.620909 + 1.55836i
\(506\) 9.80217 + 24.6016i 0.435760 + 1.09367i
\(507\) 5.33161 5.05037i 0.236785 0.224295i
\(508\) −3.18599 + 3.75084i −0.141356 + 0.166417i
\(509\) −17.4886 + 32.9870i −0.775169 + 1.46212i 0.108543 + 0.994092i \(0.465381\pi\)
−0.883712 + 0.468031i \(0.844963\pi\)
\(510\) −0.255696 4.71603i −0.0113224 0.208829i
\(511\) −2.64493 + 9.52618i −0.117005 + 0.421414i
\(512\) 24.2312 + 2.63530i 1.07088 + 0.116465i
\(513\) −2.44379 2.87705i −0.107896 0.127025i
\(514\) 23.6143 5.19791i 1.04158 0.229270i
\(515\) 13.0487 9.91939i 0.574996 0.437101i
\(516\) 13.0305 + 4.39048i 0.573634 + 0.193280i
\(517\) −2.02456 + 37.3409i −0.0890402 + 1.64225i
\(518\) −10.4913 6.31240i −0.460961 0.277351i
\(519\) −6.67895 9.85071i −0.293173 0.432398i
\(520\) −9.74730 7.40971i −0.427448 0.324937i
\(521\) 10.5812 + 4.89536i 0.463569 + 0.214470i 0.637749 0.770244i \(-0.279866\pi\)
−0.174181 + 0.984714i \(0.555728\pi\)
\(522\) 6.64913 4.00065i 0.291025 0.175104i
\(523\) −7.69401 14.5124i −0.336435 0.634584i 0.656354 0.754453i \(-0.272098\pi\)
−0.992790 + 0.119868i \(0.961753\pi\)
\(524\) −22.6410 4.98366i −0.989076 0.217712i
\(525\) −3.60002 + 1.66555i −0.157118 + 0.0726904i
\(526\) −24.9956 + 36.8657i −1.08986 + 1.60742i
\(527\) −4.71044 + 1.58713i −0.205190 + 0.0691366i
\(528\) 5.02486 + 18.0979i 0.218679 + 0.787610i
\(529\) 1.64399 + 10.0279i 0.0714776 + 0.435994i
\(530\) −54.6873 −2.37546
\(531\) 6.72131 + 3.71807i 0.291680 + 0.161350i
\(532\) 6.70752 0.290808
\(533\) 4.84699 + 29.5653i 0.209947 + 1.28062i
\(534\) 0.950849 + 3.42465i 0.0411473 + 0.148199i
\(535\) 35.0940 11.8246i 1.51725 0.511220i
\(536\) 0.985234 1.45311i 0.0425556 0.0627649i
\(537\) 4.76560 2.20480i 0.205651 0.0951443i
\(538\) −14.1000 3.10365i −0.607895 0.133808i
\(539\) −10.3519 19.5257i −0.445886 0.841031i
\(540\) −3.70613 + 2.22991i −0.159487 + 0.0959599i
\(541\) 35.4118 + 16.3832i 1.52247 + 0.704370i 0.989867 0.141995i \(-0.0453517\pi\)
0.532603 + 0.846365i \(0.321214\pi\)
\(542\) −45.7553 34.7823i −1.96536 1.49403i
\(543\) 9.59393 + 14.1500i 0.411715 + 0.607234i
\(544\) −5.25051 3.15913i −0.225114 0.135447i
\(545\) 2.90540 53.5870i 0.124454 2.29542i
\(546\) −9.48524 3.19595i −0.405931 0.136774i
\(547\) 2.47782 1.88359i 0.105944 0.0805364i −0.550861 0.834597i \(-0.685701\pi\)
0.656805 + 0.754061i \(0.271908\pi\)
\(548\) −17.4890 + 3.84962i −0.747092 + 0.164447i
\(549\) 7.55124 + 8.89001i 0.322279 + 0.379416i
\(550\) 24.5623 + 2.67131i 1.04734 + 0.113905i
\(551\) 4.19035 15.0923i 0.178515 0.642953i
\(552\) −0.182310 3.36250i −0.00775961 0.143118i
\(553\) −7.72370 + 14.5684i −0.328445 + 0.619513i
\(554\) 17.1121 20.1460i 0.727025 0.855920i
\(555\) 11.5699 10.9596i 0.491115 0.465208i
\(556\) 5.02563 + 12.6134i 0.213134 + 0.534927i
\(557\) −2.56271 + 6.43191i −0.108585 + 0.272529i −0.973221 0.229870i \(-0.926170\pi\)
0.864636 + 0.502399i \(0.167549\pi\)
\(558\) 7.71866 + 7.31150i 0.326757 + 0.309521i
\(559\) −41.1736 + 4.47790i −1.74146 + 0.189395i
\(560\) −2.63523 + 16.0742i −0.111359 + 0.679258i
\(561\) 0.559036 3.40997i 0.0236025 0.143969i
\(562\) 47.2967 5.14383i 1.99509 0.216979i
\(563\) 19.9925 + 18.9379i 0.842584 + 0.798138i 0.981358 0.192186i \(-0.0615577\pi\)
−0.138775 + 0.990324i \(0.544316\pi\)
\(564\) −5.24460 + 13.1629i −0.220837 + 0.554260i
\(565\) −1.52490 3.82722i −0.0641532 0.161012i
\(566\) −15.6797 + 14.8526i −0.659065 + 0.624300i
\(567\) 0.768191 0.904385i 0.0322610 0.0379806i
\(568\) −2.00242 + 3.77696i −0.0840195 + 0.158478i
\(569\) 1.00837 + 18.5984i 0.0422733 + 0.779684i 0.940426 + 0.340000i \(0.110427\pi\)
−0.898152 + 0.439685i \(0.855090\pi\)
\(570\) −5.45512 + 19.6475i −0.228490 + 0.822945i
\(571\) 12.2363 + 1.33078i 0.512074 + 0.0556914i 0.360509 0.932756i \(-0.382603\pi\)
0.151565 + 0.988447i \(0.451569\pi\)
\(572\) 17.2808 + 20.3446i 0.722547 + 0.850648i
\(573\) 20.4825 4.50853i 0.855667 0.188347i
\(574\) 11.7347 8.92048i 0.489796 0.372334i
\(575\) −11.3506 3.82446i −0.473353 0.159491i
\(576\) −0.194981 + 3.59622i −0.00812423 + 0.149843i
\(577\) 20.4141 + 12.2828i 0.849851 + 0.511338i 0.872619 0.488402i \(-0.162420\pi\)
−0.0227675 + 0.999741i \(0.507248\pi\)
\(578\) −17.0392 25.1310i −0.708739 1.04531i
\(579\) −7.85441 5.97077i −0.326418 0.248137i
\(580\) −16.2883 7.53576i −0.676334 0.312905i
\(581\) 15.6354 9.40752i 0.648667 0.390290i
\(582\) 7.06210 + 13.3205i 0.292733 + 0.552154i
\(583\) −39.0758 8.60123i −1.61835 0.356226i
\(584\) −7.10671 + 3.28791i −0.294078 + 0.136055i
\(585\) 7.31108 10.7830i 0.302276 0.445824i
\(586\) −19.3039 + 6.50424i −0.797437 + 0.268688i
\(587\) 3.65289 + 13.1565i 0.150771 + 0.543028i 0.999890 + 0.0148263i \(0.00471953\pi\)
−0.849119 + 0.528201i \(0.822867\pi\)
\(588\) −1.35472 8.26344i −0.0558678 0.340779i
\(589\) 21.4601 0.884249
\(590\) −3.75156 41.3216i −0.154449 1.70118i
\(591\) −14.3976 −0.592239
\(592\) −4.24222 25.8764i −0.174354 1.06351i
\(593\) −6.78804 24.4483i −0.278751 1.00397i −0.961835 0.273631i \(-0.911775\pi\)
0.683083 0.730340i \(-0.260639\pi\)
\(594\) −7.00414 + 2.35997i −0.287383 + 0.0968307i
\(595\) 1.68171 2.48034i 0.0689434 0.101684i
\(596\) 4.17343 1.93083i 0.170950 0.0790900i
\(597\) −2.23725 0.492457i −0.0915647 0.0201549i
\(598\) −14.1570 26.7029i −0.578923 1.09196i
\(599\) −5.90112 + 3.55058i −0.241113 + 0.145073i −0.630982 0.775797i \(-0.717348\pi\)
0.389869 + 0.920870i \(0.372520\pi\)
\(600\) −2.85132 1.31916i −0.116405 0.0538545i
\(601\) 34.5482 + 26.2629i 1.40925 + 1.07129i 0.986269 + 0.165149i \(0.0528104\pi\)
0.422984 + 0.906137i \(0.360983\pi\)
\(602\) 11.4352 + 16.8657i 0.466066 + 0.687395i
\(603\) 1.60064 + 0.963072i 0.0651831 + 0.0392193i
\(604\) −1.73688 + 32.0349i −0.0706726 + 1.30348i
\(605\) 12.6436 + 4.26011i 0.514034 + 0.173198i
\(606\) −19.4309 + 14.7710i −0.789326 + 0.600030i
\(607\) −37.6243 + 8.28173i −1.52712 + 0.336145i −0.897591 0.440830i \(-0.854684\pi\)
−0.629531 + 0.776975i \(0.716753\pi\)
\(608\) 17.1268 + 20.1633i 0.694584 + 0.817728i
\(609\) 4.89477 + 0.532339i 0.198346 + 0.0215715i
\(610\) 16.8561 60.7103i 0.682485 2.45809i
\(611\) −2.31057 42.6159i −0.0934756 1.72406i
\(612\) 0.613283 1.15677i 0.0247905 0.0467598i
\(613\) −7.44202 + 8.76142i −0.300580 + 0.353870i −0.891630 0.452765i \(-0.850438\pi\)
0.591050 + 0.806635i \(0.298714\pi\)
\(614\) −2.13171 + 2.01927i −0.0860290 + 0.0814910i
\(615\) 7.10144 + 17.8233i 0.286358 + 0.718704i
\(616\) −1.63134 + 4.09436i −0.0657287 + 0.164967i
\(617\) −16.2580 15.4004i −0.654523 0.619998i 0.286604 0.958049i \(-0.407474\pi\)
−0.941128 + 0.338052i \(0.890232\pi\)
\(618\) 10.5504 1.14743i 0.424401 0.0461564i
\(619\) −4.39859 + 26.8302i −0.176794 + 1.07840i 0.738096 + 0.674695i \(0.235725\pi\)
−0.914891 + 0.403702i \(0.867723\pi\)
\(620\) 3.97809 24.2653i 0.159764 0.974516i
\(621\) 3.56205 0.387396i 0.142940 0.0155457i
\(622\) −34.7800 32.9454i −1.39455 1.32099i
\(623\) −0.834709 + 2.09496i −0.0334419 + 0.0839329i
\(624\) −7.93425 19.9135i −0.317624 0.797176i
\(625\) 22.1716 21.0021i 0.886865 0.840083i
\(626\) −21.2049 + 24.9644i −0.847520 + 0.997777i
\(627\) −6.98802 + 13.1808i −0.279075 + 0.526391i
\(628\) 0.484280 + 8.93202i 0.0193249 + 0.356426i
\(629\) −1.29059 + 4.64829i −0.0514593 + 0.185339i
\(630\) −6.37215 0.693013i −0.253873 0.0276103i
\(631\) −13.2758 15.6295i −0.528501 0.622200i 0.431528 0.902100i \(-0.357975\pi\)
−0.960029 + 0.279900i \(0.909699\pi\)
\(632\) −12.7546 + 2.80750i −0.507351 + 0.111676i
\(633\) −14.8593 + 11.2958i −0.590605 + 0.448967i
\(634\) 34.0870 + 11.4852i 1.35377 + 0.456137i
\(635\) 0.513917 9.47864i 0.0203942 0.376148i
\(636\) −12.9902 7.81596i −0.515096 0.309923i
\(637\) 14.1543 + 20.8761i 0.560815 + 0.827140i
\(638\) −24.4146 18.5595i −0.966582 0.734777i
\(639\) −4.12824 1.90993i −0.163311 0.0755556i
\(640\) −18.0207 + 10.8427i −0.712330 + 0.428595i
\(641\) 4.19457 + 7.91179i 0.165675 + 0.312497i 0.952424 0.304777i \(-0.0985819\pi\)
−0.786748 + 0.617274i \(0.788237\pi\)
\(642\) 23.4169 + 5.15445i 0.924191 + 0.203430i
\(643\) 7.46527 3.45380i 0.294401 0.136205i −0.267129 0.963661i \(-0.586075\pi\)
0.561530 + 0.827456i \(0.310213\pi\)
\(644\) −3.57291 + 5.26965i −0.140792 + 0.207653i
\(645\) −25.1340 + 8.46864i −0.989651 + 0.333452i
\(646\) −1.65131 5.94747i −0.0649698 0.234000i
\(647\) 2.86088 + 17.4506i 0.112473 + 0.686053i 0.981525 + 0.191333i \(0.0612810\pi\)
−0.869053 + 0.494720i \(0.835271\pi\)
\(648\) 0.939825 0.0369198
\(649\) 3.81846 30.1156i 0.149888 1.18214i
\(650\) −28.1974 −1.10599
\(651\) 1.09136 + 6.65700i 0.0427737 + 0.260908i
\(652\) 0.0730752 + 0.263193i 0.00286185 + 0.0103074i
\(653\) 3.63705 1.22547i 0.142329 0.0479562i −0.247236 0.968955i \(-0.579522\pi\)
0.389564 + 0.920999i \(0.372626\pi\)
\(654\) 19.4995 28.7596i 0.762492 1.12459i
\(655\) 40.5839 18.7761i 1.58574 0.733643i
\(656\) 30.8302 + 6.78624i 1.20372 + 0.264958i
\(657\) −3.90268 7.36124i −0.152258 0.287190i
\(658\) −17.9922 + 10.8255i −0.701408 + 0.422023i
\(659\) 15.5712 + 7.20400i 0.606567 + 0.280628i 0.699035 0.715088i \(-0.253613\pi\)
−0.0924674 + 0.995716i \(0.529475\pi\)
\(660\) 13.6083 + 10.3448i 0.529704 + 0.402670i
\(661\) −21.6587 31.9442i −0.842425 1.24248i −0.968138 0.250417i \(-0.919432\pi\)
0.125713 0.992067i \(-0.459878\pi\)
\(662\) −3.92977 2.36447i −0.152735 0.0918976i
\(663\) −0.213504 + 3.93786i −0.00829183 + 0.152934i
\(664\) 13.6959 + 4.61470i 0.531505 + 0.179085i
\(665\) −10.2998 + 7.82968i −0.399408 + 0.303622i
\(666\) 10.0772 2.21816i 0.390484 0.0859521i
\(667\) 9.62491 + 11.3313i 0.372678 + 0.438751i
\(668\) 22.0470 + 2.39776i 0.853024 + 0.0927719i
\(669\) 3.80434 13.7020i 0.147084 0.529750i
\(670\) −0.546296 10.0758i −0.0211053 0.389263i
\(671\) 21.5928 40.7283i 0.833580 1.57230i
\(672\) −5.38372 + 6.33820i −0.207681 + 0.244501i
\(673\) −21.5786 + 20.4404i −0.831795 + 0.787918i −0.979570 0.201103i \(-0.935547\pi\)
0.147775 + 0.989021i \(0.452789\pi\)
\(674\) −2.96588 7.44379i −0.114241 0.286724i
\(675\) 1.23732 3.10543i 0.0476243 0.119528i
\(676\) −7.98387 7.56273i −0.307072 0.290874i
\(677\) 25.7297 2.79828i 0.988874 0.107547i 0.400638 0.916236i \(-0.368788\pi\)
0.588235 + 0.808690i \(0.299823\pi\)
\(678\) 0.431547 2.63232i 0.0165735 0.101094i
\(679\) −1.54764 + 9.44016i −0.0593928 + 0.362280i
\(680\) 2.35956 0.256618i 0.0904851 0.00984084i
\(681\) −3.07110 2.90910i −0.117685 0.111477i
\(682\) 15.5525 39.0339i 0.595537 1.49468i
\(683\) 12.9974 + 32.6211i 0.497333 + 1.24821i 0.936772 + 0.349939i \(0.113798\pi\)
−0.439440 + 0.898272i \(0.644823\pi\)
\(684\) −4.10383 + 3.88736i −0.156914 + 0.148637i
\(685\) 22.3617 26.3262i 0.854395 1.00587i
\(686\) 13.0888 24.6881i 0.499734 0.942598i
\(687\) −0.795639 14.6747i −0.0303555 0.559875i
\(688\) −11.6748 + 42.0489i −0.445098 + 1.60310i
\(689\) 45.3958 + 4.93710i 1.72944 + 0.188088i
\(690\) −12.5300 14.7514i −0.477008 0.561577i
\(691\) −17.1678 + 3.77892i −0.653094 + 0.143757i −0.529145 0.848532i \(-0.677487\pi\)
−0.123949 + 0.992289i \(0.539556\pi\)
\(692\) −14.1879 + 10.7854i −0.539345 + 0.409999i
\(693\) −4.44410 1.49739i −0.168818 0.0568813i
\(694\) −0.467424 + 8.62113i −0.0177432 + 0.327254i
\(695\) −22.4407 13.5021i −0.851225 0.512165i
\(696\) 2.18844 + 3.22771i 0.0829526 + 0.122346i
\(697\) −4.62349 3.51469i −0.175127 0.133128i
\(698\) −4.15822 1.92380i −0.157391 0.0728167i
\(699\) −22.9379 + 13.8013i −0.867592 + 0.522013i
\(700\) 2.78229 + 5.24796i 0.105161 + 0.198354i
\(701\) 14.5880 + 3.21106i 0.550980 + 0.121280i 0.481731 0.876319i \(-0.340008\pi\)
0.0692499 + 0.997599i \(0.477939\pi\)
\(702\) 7.65554 3.54183i 0.288940 0.133678i
\(703\) 11.6882 17.2388i 0.440828 0.650172i
\(704\) 13.4885 4.54479i 0.508365 0.171288i
\(705\) −7.31172 26.3344i −0.275375 0.991813i
\(706\) 1.93878 + 11.8260i 0.0729669 + 0.445078i
\(707\) −15.4867 −0.582437
\(708\) 5.01459 10.3516i 0.188460 0.389035i
\(709\) 2.80753 0.105439 0.0527195 0.998609i \(-0.483211\pi\)
0.0527195 + 0.998609i \(0.483211\pi\)
\(710\) 3.97509 + 24.2469i 0.149182 + 0.909972i
\(711\) −3.71762 13.3896i −0.139421 0.502151i
\(712\) −1.69263 + 0.570313i −0.0634340 + 0.0213734i
\(713\) −11.4312 + 16.8598i −0.428103 + 0.631404i
\(714\) 1.76094 0.814700i 0.0659017 0.0304894i
\(715\) −50.2839 11.0683i −1.88051 0.413931i
\(716\) −3.68312 6.94709i −0.137644 0.259625i
\(717\) −1.52501 + 0.917566i −0.0569524 + 0.0342671i
\(718\) −41.8050 19.3411i −1.56015 0.721802i
\(719\) 18.4061 + 13.9919i 0.686431 + 0.521811i 0.889260 0.457403i \(-0.151220\pi\)
−0.202829 + 0.979214i \(0.565013\pi\)
\(720\) −7.70353 11.3619i −0.287094 0.423432i
\(721\) 5.76981 + 3.47158i 0.214879 + 0.129288i
\(722\) 0.480973 8.87102i 0.0179000 0.330145i
\(723\) 13.5262 + 4.55750i 0.503045 + 0.169495i
\(724\) 20.3802 15.4926i 0.757423 0.575778i
\(725\) 13.5464 2.98178i 0.503099 0.110740i
\(726\) 5.59246 + 6.58395i 0.207556 + 0.244353i
\(727\) −12.7587 1.38759i −0.473194 0.0514630i −0.131585 0.991305i \(-0.542007\pi\)
−0.341610 + 0.939842i \(0.610972\pi\)
\(728\) 1.34567 4.84667i 0.0498739 0.179630i
\(729\) 0.0541389 + 0.998533i 0.00200514 + 0.0369827i
\(730\) −21.0813 + 39.7635i −0.780253 + 1.47171i
\(731\) 5.19756 6.11904i 0.192239 0.226321i
\(732\) 12.6807 12.0118i 0.468693 0.443970i
\(733\) 3.42572 + 8.59791i 0.126532 + 0.317571i 0.978572 0.205906i \(-0.0660140\pi\)
−0.852040 + 0.523477i \(0.824635\pi\)
\(734\) 22.0066 55.2324i 0.812278 2.03866i
\(735\) 11.7262 + 11.1076i 0.432526 + 0.409710i
\(736\) −24.9639 + 2.71499i −0.920182 + 0.100076i
\(737\) 1.19438 7.28542i 0.0439957 0.268362i
\(738\) −2.00970 + 12.2586i −0.0739782 + 0.451247i
\(739\) 0.746198 0.0811539i 0.0274493 0.00298530i −0.0943840 0.995536i \(-0.530088\pi\)
0.121833 + 0.992551i \(0.461123\pi\)
\(740\) −17.3255 16.4115i −0.636896 0.603300i
\(741\) 6.30204 15.8169i 0.231511 0.581049i
\(742\) −8.31570 20.8708i −0.305279 0.766193i
\(743\) −17.9691 + 17.0212i −0.659222 + 0.624448i −0.942348 0.334634i \(-0.891387\pi\)
0.283126 + 0.959083i \(0.408629\pi\)
\(744\) −3.45893 + 4.07217i −0.126811 + 0.149293i
\(745\) −4.15467 + 7.83654i −0.152215 + 0.287109i
\(746\) 1.17466 + 21.6654i 0.0430074 + 0.793225i
\(747\) −4.11401 + 14.8173i −0.150524 + 0.542137i
\(748\) −5.14413 0.559457i −0.188088 0.0204558i
\(749\) 9.84909 + 11.5952i 0.359878 + 0.423681i
\(750\) 8.74223 1.92431i 0.319221 0.0702659i
\(751\) −18.8673 + 14.3426i −0.688478 + 0.523368i −0.889911 0.456135i \(-0.849233\pi\)
0.201432 + 0.979502i \(0.435440\pi\)
\(752\) −42.6155 14.3588i −1.55403 0.523613i
\(753\) 0.596684 11.0052i 0.0217444 0.401052i
\(754\) 29.9904 + 18.0446i 1.09218 + 0.657146i
\(755\) −34.7272 51.2188i −1.26385 1.86404i
\(756\) −1.41457 1.07533i −0.0514475 0.0391094i
\(757\) 4.90510 + 2.26934i 0.178279 + 0.0824806i 0.506998 0.861947i \(-0.330755\pi\)
−0.328719 + 0.944428i \(0.606617\pi\)
\(758\) 20.7259 12.4704i 0.752799 0.452944i
\(759\) −6.63295 12.5111i −0.240761 0.454123i
\(760\) −10.0076 2.20284i −0.363014 0.0799055i
\(761\) −3.70010 + 1.71185i −0.134128 + 0.0620544i −0.485805 0.874067i \(-0.661474\pi\)
0.351677 + 0.936121i \(0.385612\pi\)
\(762\) 3.44914 5.08710i 0.124949 0.184286i
\(763\) 20.8927 7.03958i 0.756368 0.254850i
\(764\) −8.40197 30.2612i −0.303973 1.09481i
\(765\) 0.408571 + 2.49218i 0.0147719 + 0.0901048i
\(766\) 10.5581 0.381480
\(767\) −0.616293 + 34.6397i −0.0222531 + 1.25077i
\(768\) −20.8200 −0.751278
\(769\) −6.18583 37.7319i −0.223067 1.36065i −0.826366 0.563133i \(-0.809596\pi\)
0.603300 0.797515i \(-0.293852\pi\)
\(770\) 6.77701 + 24.4086i 0.244226 + 0.879624i
\(771\) −12.2525 + 4.12833i −0.441261 + 0.148678i
\(772\) −8.29111 + 12.2285i −0.298404 + 0.440112i