Properties

Label 273.2.bh.a.131.13
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.13
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.734739 - 0.424202i) q^{2} +(0.243844 - 1.71480i) q^{3} +(-0.640106 - 1.10870i) q^{4} +(-1.44264 + 2.49872i) q^{5} +(-0.906583 + 1.15649i) q^{6} +(-1.51284 + 2.17056i) q^{7} +2.78294i q^{8} +(-2.88108 - 0.836289i) q^{9} +O(q^{10})\) \(q+(-0.734739 - 0.424202i) q^{2} +(0.243844 - 1.71480i) q^{3} +(-0.640106 - 1.10870i) q^{4} +(-1.44264 + 2.49872i) q^{5} +(-0.906583 + 1.15649i) q^{6} +(-1.51284 + 2.17056i) q^{7} +2.78294i q^{8} +(-2.88108 - 0.836289i) q^{9} +(2.11992 - 1.22394i) q^{10} +(-1.29721 + 0.748942i) q^{11} +(-2.05728 + 0.827304i) q^{12} +1.00000i q^{13} +(2.03230 - 0.953044i) q^{14} +(3.93303 + 3.08313i) q^{15} +(-0.0996816 + 0.172654i) q^{16} +(-0.812718 - 1.40767i) q^{17} +(1.76209 + 1.83661i) q^{18} +(-1.58307 - 0.913984i) q^{19} +3.69376 q^{20} +(3.35317 + 3.12349i) q^{21} +1.27081 q^{22} +(2.10587 + 1.21582i) q^{23} +(4.77219 + 0.678605i) q^{24} +(-1.66240 - 2.87936i) q^{25} +(0.424202 - 0.734739i) q^{26} +(-2.13660 + 4.73655i) q^{27} +(3.37486 + 0.287891i) q^{28} -3.71033i q^{29} +(-1.58188 - 3.93370i) q^{30} +(-8.38619 + 4.84177i) q^{31} +(4.96668 - 2.86751i) q^{32} +(0.967969 + 2.40707i) q^{33} +1.37903i q^{34} +(-3.24114 - 6.91149i) q^{35} +(0.917005 + 3.72955i) q^{36} +(-0.936328 + 1.62177i) q^{37} +(0.775428 + 1.34308i) q^{38} +(1.71480 + 0.243844i) q^{39} +(-6.95380 - 4.01478i) q^{40} -8.73497 q^{41} +(-1.13872 - 3.71738i) q^{42} -6.95036 q^{43} +(1.66070 + 0.958804i) q^{44} +(6.24600 - 5.99255i) q^{45} +(-1.03151 - 1.78663i) q^{46} +(-1.24667 + 2.15929i) q^{47} +(0.271760 + 0.213035i) q^{48} +(-2.42264 - 6.56741i) q^{49} +2.82077i q^{50} +(-2.61205 + 1.05040i) q^{51} +(1.10870 - 0.640106i) q^{52} +(1.76288 - 1.01780i) q^{53} +(3.57910 - 2.57378i) q^{54} -4.32180i q^{55} +(-6.04054 - 4.21014i) q^{56} +(-1.95332 + 2.49177i) q^{57} +(-1.57393 + 2.72612i) q^{58} +(7.41271 + 12.8392i) q^{59} +(0.900703 - 6.33406i) q^{60} +(7.29866 + 4.21389i) q^{61} +8.21555 q^{62} +(6.17382 - 4.98838i) q^{63} -4.46689 q^{64} +(-2.49872 - 1.44264i) q^{65} +(0.309880 - 2.17919i) q^{66} +(-7.19942 - 12.4698i) q^{67} +(-1.04045 + 1.80211i) q^{68} +(2.59840 - 3.31467i) q^{69} +(-0.550474 + 6.45304i) q^{70} -10.1763i q^{71} +(2.32735 - 8.01788i) q^{72} +(13.6322 - 7.87057i) q^{73} +(1.37591 - 0.794384i) q^{74} +(-5.34290 + 2.14857i) q^{75} +2.34019i q^{76} +(0.336841 - 3.94869i) q^{77} +(-1.15649 - 0.906583i) q^{78} +(-4.62175 + 8.00511i) q^{79} +(-0.287609 - 0.498153i) q^{80} +(7.60124 + 4.81883i) q^{81} +(6.41793 + 3.70539i) q^{82} -12.4457 q^{83} +(1.31662 - 5.71702i) q^{84} +4.68982 q^{85} +(5.10670 + 2.94836i) q^{86} +(-6.36248 - 0.904744i) q^{87} +(-2.08426 - 3.61005i) q^{88} +(1.78870 - 3.09812i) q^{89} +(-7.13123 + 1.75339i) q^{90} +(-2.17056 - 1.51284i) q^{91} -3.11302i q^{92} +(6.25774 + 15.5613i) q^{93} +(1.83195 - 1.05768i) q^{94} +(4.56758 - 2.63709i) q^{95} +(-3.70612 - 9.21609i) q^{96} +1.31690i q^{97} +(-1.00590 + 5.85302i) q^{98} +(4.36368 - 1.07292i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.734739 0.424202i −0.519539 0.299956i 0.217207 0.976126i \(-0.430305\pi\)
−0.736746 + 0.676170i \(0.763639\pi\)
\(3\) 0.243844 1.71480i 0.140784 0.990040i
\(4\) −0.640106 1.10870i −0.320053 0.554348i
\(5\) −1.44264 + 2.49872i −0.645167 + 1.11746i 0.339096 + 0.940752i \(0.389879\pi\)
−0.984263 + 0.176710i \(0.943455\pi\)
\(6\) −0.906583 + 1.15649i −0.370111 + 0.472136i
\(7\) −1.51284 + 2.17056i −0.571799 + 0.820394i
\(8\) 2.78294i 0.983919i
\(9\) −2.88108 0.836289i −0.960360 0.278763i
\(10\) 2.11992 1.22394i 0.670379 0.387043i
\(11\) −1.29721 + 0.748942i −0.391122 + 0.225814i −0.682646 0.730749i \(-0.739171\pi\)
0.291524 + 0.956563i \(0.405838\pi\)
\(12\) −2.05728 + 0.827304i −0.593885 + 0.238822i
\(13\) 1.00000i 0.277350i
\(14\) 2.03230 0.953044i 0.543154 0.254712i
\(15\) 3.93303 + 3.08313i 1.01550 + 0.796061i
\(16\) −0.0996816 + 0.172654i −0.0249204 + 0.0431634i
\(17\) −0.812718 1.40767i −0.197113 0.341410i 0.750478 0.660895i \(-0.229823\pi\)
−0.947591 + 0.319486i \(0.896490\pi\)
\(18\) 1.76209 + 1.83661i 0.415328 + 0.432894i
\(19\) −1.58307 0.913984i −0.363180 0.209682i 0.307295 0.951614i \(-0.400576\pi\)
−0.670475 + 0.741932i \(0.733910\pi\)
\(20\) 3.69376 0.825950
\(21\) 3.35317 + 3.12349i 0.731723 + 0.681602i
\(22\) 1.27081 0.270938
\(23\) 2.10587 + 1.21582i 0.439104 + 0.253517i 0.703218 0.710975i \(-0.251746\pi\)
−0.264113 + 0.964492i \(0.585079\pi\)
\(24\) 4.77219 + 0.678605i 0.974120 + 0.138520i
\(25\) −1.66240 2.87936i −0.332480 0.575873i
\(26\) 0.424202 0.734739i 0.0831928 0.144094i
\(27\) −2.13660 + 4.73655i −0.411190 + 0.911550i
\(28\) 3.37486 + 0.287891i 0.637789 + 0.0544064i
\(29\) 3.71033i 0.688991i −0.938788 0.344496i \(-0.888050\pi\)
0.938788 0.344496i \(-0.111950\pi\)
\(30\) −1.58188 3.93370i −0.288810 0.718191i
\(31\) −8.38619 + 4.84177i −1.50620 + 0.869608i −0.506230 + 0.862398i \(0.668961\pi\)
−0.999974 + 0.00720922i \(0.997705\pi\)
\(32\) 4.96668 2.86751i 0.877993 0.506910i
\(33\) 0.967969 + 2.40707i 0.168502 + 0.419018i
\(34\) 1.37903i 0.236501i
\(35\) −3.24114 6.91149i −0.547852 1.16825i
\(36\) 0.917005 + 3.72955i 0.152834 + 0.621592i
\(37\) −0.936328 + 1.62177i −0.153931 + 0.266617i −0.932669 0.360732i \(-0.882527\pi\)
0.778738 + 0.627349i \(0.215860\pi\)
\(38\) 0.775428 + 1.34308i 0.125791 + 0.217876i
\(39\) 1.71480 + 0.243844i 0.274588 + 0.0390464i
\(40\) −6.95380 4.01478i −1.09949 0.634792i
\(41\) −8.73497 −1.36417 −0.682087 0.731271i \(-0.738927\pi\)
−0.682087 + 0.731271i \(0.738927\pi\)
\(42\) −1.13872 3.71738i −0.175708 0.573604i
\(43\) −6.95036 −1.05992 −0.529960 0.848023i \(-0.677793\pi\)
−0.529960 + 0.848023i \(0.677793\pi\)
\(44\) 1.66070 + 0.958804i 0.250359 + 0.144545i
\(45\) 6.24600 5.99255i 0.931099 0.893317i
\(46\) −1.03151 1.78663i −0.152088 0.263424i
\(47\) −1.24667 + 2.15929i −0.181845 + 0.314964i −0.942509 0.334181i \(-0.891540\pi\)
0.760664 + 0.649146i \(0.224874\pi\)
\(48\) 0.271760 + 0.213035i 0.0392251 + 0.0307489i
\(49\) −2.42264 6.56741i −0.346091 0.938201i
\(50\) 2.82077i 0.398918i
\(51\) −2.61205 + 1.05040i −0.365760 + 0.147085i
\(52\) 1.10870 0.640106i 0.153748 0.0887667i
\(53\) 1.76288 1.01780i 0.242150 0.139805i −0.374014 0.927423i \(-0.622019\pi\)
0.616165 + 0.787617i \(0.288686\pi\)
\(54\) 3.57910 2.57378i 0.487054 0.350247i
\(55\) 4.32180i 0.582752i
\(56\) −6.04054 4.21014i −0.807201 0.562604i
\(57\) −1.95332 + 2.49177i −0.258724 + 0.330043i
\(58\) −1.57393 + 2.72612i −0.206667 + 0.357958i
\(59\) 7.41271 + 12.8392i 0.965052 + 1.67152i 0.709474 + 0.704731i \(0.248933\pi\)
0.255578 + 0.966788i \(0.417734\pi\)
\(60\) 0.900703 6.33406i 0.116280 0.817724i
\(61\) 7.29866 + 4.21389i 0.934498 + 0.539533i 0.888231 0.459396i \(-0.151934\pi\)
0.0462667 + 0.998929i \(0.485268\pi\)
\(62\) 8.21555 1.04338
\(63\) 6.17382 4.98838i 0.777828 0.628477i
\(64\) −4.46689 −0.558361
\(65\) −2.49872 1.44264i −0.309928 0.178937i
\(66\) 0.309880 2.17919i 0.0381436 0.268239i
\(67\) −7.19942 12.4698i −0.879550 1.52342i −0.851836 0.523809i \(-0.824511\pi\)
−0.0277136 0.999616i \(-0.508823\pi\)
\(68\) −1.04045 + 1.80211i −0.126173 + 0.218538i
\(69\) 2.59840 3.31467i 0.312811 0.399040i
\(70\) −0.550474 + 6.45304i −0.0657942 + 0.771285i
\(71\) 10.1763i 1.20770i −0.797098 0.603850i \(-0.793633\pi\)
0.797098 0.603850i \(-0.206367\pi\)
\(72\) 2.32735 8.01788i 0.274280 0.944916i
\(73\) 13.6322 7.87057i 1.59553 0.921181i 0.603199 0.797591i \(-0.293893\pi\)
0.992333 0.123590i \(-0.0394408\pi\)
\(74\) 1.37591 0.794384i 0.159947 0.0923453i
\(75\) −5.34290 + 2.14857i −0.616945 + 0.248095i
\(76\) 2.34019i 0.268438i
\(77\) 0.336841 3.94869i 0.0383866 0.449995i
\(78\) −1.15649 0.906583i −0.130947 0.102650i
\(79\) −4.62175 + 8.00511i −0.519988 + 0.900645i 0.479742 + 0.877410i \(0.340730\pi\)
−0.999730 + 0.0232359i \(0.992603\pi\)
\(80\) −0.287609 0.498153i −0.0321556 0.0556952i
\(81\) 7.60124 + 4.81883i 0.844582 + 0.535426i
\(82\) 6.41793 + 3.70539i 0.708741 + 0.409192i
\(83\) −12.4457 −1.36609 −0.683047 0.730375i \(-0.739345\pi\)
−0.683047 + 0.730375i \(0.739345\pi\)
\(84\) 1.31662 5.71702i 0.143655 0.623778i
\(85\) 4.68982 0.508683
\(86\) 5.10670 + 2.94836i 0.550670 + 0.317929i
\(87\) −6.36248 0.904744i −0.682129 0.0969987i
\(88\) −2.08426 3.61005i −0.222183 0.384832i
\(89\) 1.78870 3.09812i 0.189602 0.328400i −0.755516 0.655131i \(-0.772614\pi\)
0.945118 + 0.326731i \(0.105947\pi\)
\(90\) −7.13123 + 1.75339i −0.751698 + 0.184824i
\(91\) −2.17056 1.51284i −0.227536 0.158589i
\(92\) 3.11302i 0.324555i
\(93\) 6.25774 + 15.5613i 0.648898 + 1.61363i
\(94\) 1.83195 1.05768i 0.188951 0.109091i
\(95\) 4.56758 2.63709i 0.468624 0.270560i
\(96\) −3.70612 9.21609i −0.378254 0.940613i
\(97\) 1.31690i 0.133711i 0.997763 + 0.0668554i \(0.0212966\pi\)
−0.997763 + 0.0668554i \(0.978703\pi\)
\(98\) −1.00590 + 5.85302i −0.101611 + 0.591244i
\(99\) 4.36368 1.07292i 0.438567 0.107833i
\(100\) −2.12822 + 3.68619i −0.212822 + 0.368619i
\(101\) 5.63250 + 9.75577i 0.560454 + 0.970735i 0.997457 + 0.0712749i \(0.0227068\pi\)
−0.437002 + 0.899460i \(0.643960\pi\)
\(102\) 2.36475 + 0.336268i 0.234145 + 0.0332955i
\(103\) 6.04261 + 3.48870i 0.595396 + 0.343752i 0.767228 0.641374i \(-0.221635\pi\)
−0.171832 + 0.985126i \(0.554969\pi\)
\(104\) −2.78294 −0.272890
\(105\) −12.6422 + 3.87258i −1.23375 + 0.377925i
\(106\) −1.72701 −0.167742
\(107\) 1.30816 + 0.755267i 0.126465 + 0.0730145i 0.561898 0.827207i \(-0.310071\pi\)
−0.435433 + 0.900221i \(0.643405\pi\)
\(108\) 6.61905 0.663050i 0.636918 0.0638020i
\(109\) −6.30615 10.9226i −0.604020 1.04619i −0.992206 0.124612i \(-0.960231\pi\)
0.388186 0.921581i \(-0.373102\pi\)
\(110\) −1.83332 + 3.17540i −0.174800 + 0.302762i
\(111\) 2.55269 + 2.00108i 0.242291 + 0.189934i
\(112\) −0.223952 0.477562i −0.0211615 0.0451254i
\(113\) 4.59986i 0.432719i −0.976314 0.216359i \(-0.930582\pi\)
0.976314 0.216359i \(-0.0694183\pi\)
\(114\) 2.49220 1.00220i 0.233416 0.0938647i
\(115\) −6.07601 + 3.50799i −0.566591 + 0.327121i
\(116\) −4.11363 + 2.37500i −0.381941 + 0.220514i
\(117\) 0.836289 2.88108i 0.0773150 0.266356i
\(118\) 12.5779i 1.15789i
\(119\) 4.28493 + 0.365525i 0.392799 + 0.0335076i
\(120\) −8.58018 + 10.9454i −0.783260 + 0.999173i
\(121\) −4.37817 + 7.58322i −0.398016 + 0.689383i
\(122\) −3.57508 6.19221i −0.323672 0.560617i
\(123\) −2.12997 + 14.9787i −0.192053 + 1.35059i
\(124\) 10.7361 + 6.19849i 0.964130 + 0.556641i
\(125\) −4.83340 −0.432313
\(126\) −6.65223 + 1.04621i −0.592628 + 0.0932038i
\(127\) 13.9505 1.23790 0.618952 0.785429i \(-0.287557\pi\)
0.618952 + 0.785429i \(0.287557\pi\)
\(128\) −6.65136 3.84016i −0.587903 0.339426i
\(129\) −1.69481 + 11.9185i −0.149219 + 1.04936i
\(130\) 1.22394 + 2.11992i 0.107346 + 0.185930i
\(131\) −10.7990 + 18.7044i −0.943514 + 1.63421i −0.184815 + 0.982773i \(0.559169\pi\)
−0.758699 + 0.651441i \(0.774165\pi\)
\(132\) 2.04911 2.61396i 0.178352 0.227516i
\(133\) 4.37878 2.05343i 0.379688 0.178055i
\(134\) 12.2160i 1.05530i
\(135\) −8.75297 12.1719i −0.753336 1.04759i
\(136\) 3.91746 2.26175i 0.335919 0.193943i
\(137\) −3.11243 + 1.79696i −0.265913 + 0.153525i −0.627029 0.778996i \(-0.715729\pi\)
0.361116 + 0.932521i \(0.382396\pi\)
\(138\) −3.31524 + 1.33317i −0.282212 + 0.113487i
\(139\) 8.14169i 0.690569i 0.938498 + 0.345285i \(0.112218\pi\)
−0.938498 + 0.345285i \(0.887782\pi\)
\(140\) −5.58806 + 8.01752i −0.472277 + 0.677604i
\(141\) 3.39875 + 2.66431i 0.286227 + 0.224376i
\(142\) −4.31679 + 7.47690i −0.362257 + 0.627447i
\(143\) −0.748942 1.29721i −0.0626297 0.108478i
\(144\) 0.431579 0.414066i 0.0359649 0.0345055i
\(145\) 9.27108 + 5.35266i 0.769921 + 0.444514i
\(146\) −13.3548 −1.10526
\(147\) −11.8525 + 2.55292i −0.977581 + 0.210561i
\(148\) 2.39740 0.197065
\(149\) 11.4668 + 6.62035i 0.939395 + 0.542360i 0.889771 0.456408i \(-0.150864\pi\)
0.0496245 + 0.998768i \(0.484198\pi\)
\(150\) 4.83707 + 0.687830i 0.394945 + 0.0561611i
\(151\) −0.793909 1.37509i −0.0646074 0.111903i 0.831912 0.554907i \(-0.187246\pi\)
−0.896520 + 0.443004i \(0.853913\pi\)
\(152\) 2.54357 4.40559i 0.206310 0.357340i
\(153\) 1.16429 + 4.73527i 0.0941270 + 0.382824i
\(154\) −1.92253 + 2.75837i −0.154922 + 0.222275i
\(155\) 27.9397i 2.24417i
\(156\) −0.827304 2.05728i −0.0662373 0.164714i
\(157\) 11.5452 6.66563i 0.921408 0.531975i 0.0373240 0.999303i \(-0.488117\pi\)
0.884084 + 0.467328i \(0.154783\pi\)
\(158\) 6.79157 3.92111i 0.540308 0.311947i
\(159\) −1.31545 3.27117i −0.104322 0.259421i
\(160\) 16.5471i 1.30816i
\(161\) −5.82486 + 2.73157i −0.459063 + 0.215277i
\(162\) −3.54077 6.76504i −0.278189 0.531512i
\(163\) 7.66710 13.2798i 0.600534 1.04016i −0.392206 0.919877i \(-0.628288\pi\)
0.992740 0.120278i \(-0.0383786\pi\)
\(164\) 5.59130 + 9.68442i 0.436608 + 0.756226i
\(165\) −7.41103 1.05385i −0.576948 0.0820419i
\(166\) 9.14434 + 5.27949i 0.709739 + 0.409768i
\(167\) −7.98750 −0.618091 −0.309046 0.951047i \(-0.600010\pi\)
−0.309046 + 0.951047i \(0.600010\pi\)
\(168\) −8.69251 + 9.33170i −0.670642 + 0.719956i
\(169\) −1.00000 −0.0769231
\(170\) −3.44580 1.98943i −0.264281 0.152582i
\(171\) 3.79659 + 3.95716i 0.290332 + 0.302612i
\(172\) 4.44897 + 7.70583i 0.339230 + 0.587564i
\(173\) 3.79516 6.57341i 0.288541 0.499767i −0.684921 0.728617i \(-0.740163\pi\)
0.973462 + 0.228850i \(0.0734967\pi\)
\(174\) 4.29097 + 3.36372i 0.325297 + 0.255003i
\(175\) 8.76477 + 0.747675i 0.662554 + 0.0565189i
\(176\) 0.298623i 0.0225096i
\(177\) 23.8242 9.58055i 1.79074 0.720118i
\(178\) −2.62846 + 1.51754i −0.197011 + 0.113744i
\(179\) 14.8321 8.56329i 1.10860 0.640050i 0.170134 0.985421i \(-0.445580\pi\)
0.938466 + 0.345371i \(0.112247\pi\)
\(180\) −10.6420 3.08905i −0.793209 0.230244i
\(181\) 15.1108i 1.12318i 0.827416 + 0.561589i \(0.189810\pi\)
−0.827416 + 0.561589i \(0.810190\pi\)
\(182\) 0.953044 + 2.03230i 0.0706444 + 0.150644i
\(183\) 9.00571 11.4882i 0.665721 0.849233i
\(184\) −3.38357 + 5.86052i −0.249440 + 0.432043i
\(185\) −2.70156 4.67924i −0.198623 0.344025i
\(186\) 2.00332 14.0880i 0.146890 1.03298i
\(187\) 2.10852 + 1.21736i 0.154190 + 0.0890219i
\(188\) 3.19199 0.232800
\(189\) −7.04862 11.8033i −0.512712 0.858561i
\(190\) −4.47464 −0.324625
\(191\) −7.47297 4.31452i −0.540725 0.312188i 0.204648 0.978836i \(-0.434395\pi\)
−0.745373 + 0.666648i \(0.767729\pi\)
\(192\) −1.08923 + 7.65983i −0.0786082 + 0.552800i
\(193\) 5.19264 + 8.99391i 0.373774 + 0.647396i 0.990143 0.140062i \(-0.0447301\pi\)
−0.616369 + 0.787458i \(0.711397\pi\)
\(194\) 0.558630 0.967576i 0.0401073 0.0694679i
\(195\) −3.08313 + 3.93303i −0.220788 + 0.281650i
\(196\) −5.73051 + 6.88980i −0.409322 + 0.492129i
\(197\) 13.7325i 0.978403i 0.872171 + 0.489202i \(0.162712\pi\)
−0.872171 + 0.489202i \(0.837288\pi\)
\(198\) −3.66130 1.06276i −0.260198 0.0755274i
\(199\) −15.5817 + 8.99608i −1.10455 + 0.637715i −0.937414 0.348218i \(-0.886787\pi\)
−0.167141 + 0.985933i \(0.553454\pi\)
\(200\) 8.01311 4.62637i 0.566612 0.327134i
\(201\) −23.1387 + 9.30489i −1.63208 + 0.656316i
\(202\) 9.55726i 0.672446i
\(203\) 8.05348 + 5.61313i 0.565244 + 0.393965i
\(204\) 2.83656 + 2.22360i 0.198599 + 0.155683i
\(205\) 12.6014 21.8262i 0.880119 1.52441i
\(206\) −2.95983 5.12657i −0.206221 0.357185i
\(207\) −5.05040 5.26400i −0.351027 0.365874i
\(208\) −0.172654 0.0996816i −0.0119714 0.00691168i
\(209\) 2.73808 0.189397
\(210\) 10.9314 + 2.51749i 0.754341 + 0.173723i
\(211\) −9.05229 −0.623185 −0.311593 0.950216i \(-0.600862\pi\)
−0.311593 + 0.950216i \(0.600862\pi\)
\(212\) −2.25686 1.30300i −0.155002 0.0894902i
\(213\) −17.4503 2.48143i −1.19567 0.170024i
\(214\) −0.640772 1.10985i −0.0438022 0.0758677i
\(215\) 10.0268 17.3670i 0.683825 1.18442i
\(216\) −13.1816 5.94605i −0.896891 0.404577i
\(217\) 2.17762 25.5275i 0.147826 1.73292i
\(218\) 10.7003i 0.724717i
\(219\) −10.1723 25.2958i −0.687381 1.70933i
\(220\) −4.79156 + 2.76641i −0.323047 + 0.186511i
\(221\) 1.40767 0.812718i 0.0946900 0.0546693i
\(222\) −1.02670 2.55312i −0.0689077 0.171354i
\(223\) 20.1273i 1.34783i −0.738811 0.673913i \(-0.764612\pi\)
0.738811 0.673913i \(-0.235388\pi\)
\(224\) −1.28968 + 15.1185i −0.0861705 + 1.01015i
\(225\) 2.38153 + 9.68592i 0.158769 + 0.645728i
\(226\) −1.95127 + 3.37970i −0.129797 + 0.224814i
\(227\) 8.57904 + 14.8593i 0.569411 + 0.986248i 0.996624 + 0.0820975i \(0.0261619\pi\)
−0.427214 + 0.904151i \(0.640505\pi\)
\(228\) 4.01295 + 0.570641i 0.265764 + 0.0377916i
\(229\) −1.65212 0.953853i −0.109175 0.0630324i 0.444418 0.895819i \(-0.353410\pi\)
−0.553593 + 0.832787i \(0.686744\pi\)
\(230\) 5.95238 0.392488
\(231\) −6.68907 1.54048i −0.440109 0.101356i
\(232\) 10.3256 0.677911
\(233\) −4.88191 2.81857i −0.319825 0.184651i 0.331490 0.943459i \(-0.392449\pi\)
−0.651314 + 0.758808i \(0.725782\pi\)
\(234\) −1.83661 + 1.76209i −0.120063 + 0.115191i
\(235\) −3.59697 6.23013i −0.234640 0.406409i
\(236\) 9.48983 16.4369i 0.617735 1.06995i
\(237\) 12.6002 + 9.87739i 0.818470 + 0.641605i
\(238\) −2.99325 2.08624i −0.194024 0.135231i
\(239\) 3.84106i 0.248457i −0.992254 0.124229i \(-0.960354\pi\)
0.992254 0.124229i \(-0.0396456\pi\)
\(240\) −0.924365 + 0.371720i −0.0596675 + 0.0239944i
\(241\) −12.2622 + 7.07960i −0.789879 + 0.456037i −0.839920 0.542710i \(-0.817398\pi\)
0.0500409 + 0.998747i \(0.484065\pi\)
\(242\) 6.43363 3.71446i 0.413569 0.238774i
\(243\) 10.1169 11.8596i 0.648996 0.760791i
\(244\) 10.7893i 0.690716i
\(245\) 19.9051 + 3.42089i 1.27169 + 0.218552i
\(246\) 7.91898 10.1019i 0.504896 0.644075i
\(247\) 0.913984 1.58307i 0.0581554 0.100728i
\(248\) −13.4744 23.3383i −0.855623 1.48198i
\(249\) −3.03482 + 21.3419i −0.192324 + 1.35249i
\(250\) 3.55129 + 2.05034i 0.224603 + 0.129675i
\(251\) 0.186249 0.0117559 0.00587795 0.999983i \(-0.498129\pi\)
0.00587795 + 0.999983i \(0.498129\pi\)
\(252\) −9.48249 3.65180i −0.597341 0.230042i
\(253\) −3.64233 −0.228991
\(254\) −10.2500 5.91782i −0.643140 0.371317i
\(255\) 1.14359 8.04211i 0.0716142 0.503617i
\(256\) 7.72490 + 13.3799i 0.482806 + 0.836245i
\(257\) −8.14195 + 14.1023i −0.507881 + 0.879676i 0.492077 + 0.870552i \(0.336238\pi\)
−0.999958 + 0.00912445i \(0.997096\pi\)
\(258\) 6.30108 8.03803i 0.392288 0.500426i
\(259\) −2.10363 4.48583i −0.130713 0.278736i
\(260\) 3.69376i 0.229077i
\(261\) −3.10291 + 10.6898i −0.192065 + 0.661679i
\(262\) 15.8689 9.16192i 0.980385 0.566025i
\(263\) 11.1183 6.41917i 0.685585 0.395823i −0.116371 0.993206i \(-0.537126\pi\)
0.801956 + 0.597383i \(0.203793\pi\)
\(264\) −6.69875 + 2.69380i −0.412279 + 0.165792i
\(265\) 5.87326i 0.360791i
\(266\) −4.08833 0.348753i −0.250672 0.0213834i
\(267\) −4.87649 3.82272i −0.298436 0.233947i
\(268\) −9.21678 + 15.9639i −0.563005 + 0.975153i
\(269\) 9.16739 + 15.8784i 0.558945 + 0.968122i 0.997585 + 0.0694587i \(0.0221272\pi\)
−0.438639 + 0.898663i \(0.644539\pi\)
\(270\) 1.26781 + 12.6562i 0.0771565 + 0.770232i
\(271\) 2.12427 + 1.22645i 0.129040 + 0.0745013i 0.563130 0.826368i \(-0.309597\pi\)
−0.434090 + 0.900869i \(0.642930\pi\)
\(272\) 0.324052 0.0196485
\(273\) −3.12349 + 3.35317i −0.189042 + 0.202943i
\(274\) 3.04910 0.184203
\(275\) 4.31295 + 2.49008i 0.260081 + 0.150158i
\(276\) −5.33822 0.759094i −0.321323 0.0456921i
\(277\) 0.892124 + 1.54520i 0.0536026 + 0.0928424i 0.891582 0.452860i \(-0.149596\pi\)
−0.837979 + 0.545702i \(0.816263\pi\)
\(278\) 3.45372 5.98202i 0.207140 0.358778i
\(279\) 28.2104 6.93624i 1.68891 0.415262i
\(280\) 19.2343 9.01990i 1.14947 0.539042i
\(281\) 25.5292i 1.52294i 0.648198 + 0.761472i \(0.275523\pi\)
−0.648198 + 0.761472i \(0.724477\pi\)
\(282\) −1.36699 3.39933i −0.0814032 0.202427i
\(283\) −1.85950 + 1.07358i −0.110536 + 0.0638179i −0.554249 0.832351i \(-0.686994\pi\)
0.443713 + 0.896169i \(0.353661\pi\)
\(284\) −11.2824 + 6.51388i −0.669486 + 0.386528i
\(285\) −3.40831 8.47553i −0.201891 0.502047i
\(286\) 1.27081i 0.0751446i
\(287\) 13.2146 18.9598i 0.780033 1.11916i
\(288\) −16.7075 + 4.10796i −0.984497 + 0.242064i
\(289\) 7.17898 12.4344i 0.422293 0.731433i
\(290\) −4.54122 7.86562i −0.266669 0.461885i
\(291\) 2.25822 + 0.321118i 0.132379 + 0.0188243i
\(292\) −17.4521 10.0760i −1.02131 0.589653i
\(293\) 2.79728 0.163419 0.0817095 0.996656i \(-0.473962\pi\)
0.0817095 + 0.996656i \(0.473962\pi\)
\(294\) 9.79147 + 3.15214i 0.571050 + 0.183837i
\(295\) −42.7754 −2.49048
\(296\) −4.51329 2.60575i −0.262330 0.151456i
\(297\) −0.775787 7.74447i −0.0450158 0.449380i
\(298\) −5.61673 9.72846i −0.325368 0.563554i
\(299\) −1.21582 + 2.10587i −0.0703130 + 0.121786i
\(300\) 5.80213 + 4.54834i 0.334986 + 0.262598i
\(301\) 10.5148 15.0862i 0.606062 0.869552i
\(302\) 1.34711i 0.0775175i
\(303\) 18.1026 7.27971i 1.03997 0.418209i
\(304\) 0.315605 0.182215i 0.0181012 0.0104507i
\(305\) −21.0586 + 12.1582i −1.20581 + 0.696177i
\(306\) 1.15326 3.97308i 0.0659277 0.227126i
\(307\) 15.3541i 0.876304i 0.898901 + 0.438152i \(0.144367\pi\)
−0.898901 + 0.438152i \(0.855633\pi\)
\(308\) −4.59350 + 2.15412i −0.261739 + 0.122742i
\(309\) 7.45589 9.51117i 0.424151 0.541072i
\(310\) −11.8521 + 20.5284i −0.673151 + 1.16593i
\(311\) −16.4732 28.5325i −0.934111 1.61793i −0.776212 0.630472i \(-0.782861\pi\)
−0.157899 0.987455i \(-0.550472\pi\)
\(312\) −0.678605 + 4.77219i −0.0384185 + 0.270172i
\(313\) −4.29781 2.48134i −0.242927 0.140254i 0.373594 0.927592i \(-0.378125\pi\)
−0.616521 + 0.787338i \(0.711459\pi\)
\(314\) −11.3103 −0.638277
\(315\) 3.55798 + 22.6231i 0.200469 + 1.27467i
\(316\) 11.8336 0.665694
\(317\) 26.0415 + 15.0351i 1.46264 + 0.844455i 0.999133 0.0416395i \(-0.0132581\pi\)
0.463505 + 0.886094i \(0.346591\pi\)
\(318\) −0.421121 + 2.96147i −0.0236153 + 0.166071i
\(319\) 2.77882 + 4.81306i 0.155584 + 0.269480i
\(320\) 6.44410 11.1615i 0.360236 0.623947i
\(321\) 1.61412 2.05907i 0.0900914 0.114926i
\(322\) 5.43849 + 0.463928i 0.303075 + 0.0258537i
\(323\) 2.97124i 0.165324i
\(324\) 0.477019 11.5120i 0.0265011 0.639557i
\(325\) 2.87936 1.66240i 0.159718 0.0922134i
\(326\) −11.2666 + 6.50480i −0.624002 + 0.360268i
\(327\) −20.2678 + 8.15038i −1.12081 + 0.450717i
\(328\) 24.3089i 1.34224i
\(329\) −2.80085 5.97261i −0.154416 0.329281i
\(330\) 4.99813 + 3.91808i 0.275138 + 0.215683i
\(331\) −12.2231 + 21.1709i −0.671840 + 1.16366i 0.305542 + 0.952179i \(0.401162\pi\)
−0.977382 + 0.211482i \(0.932171\pi\)
\(332\) 7.96656 + 13.7985i 0.437222 + 0.757291i
\(333\) 4.05390 3.88940i 0.222153 0.213138i
\(334\) 5.86873 + 3.38831i 0.321122 + 0.185400i
\(335\) 41.5446 2.26982
\(336\) −0.873533 + 0.267583i −0.0476551 + 0.0145978i
\(337\) −1.50589 −0.0820310 −0.0410155 0.999159i \(-0.513059\pi\)
−0.0410155 + 0.999159i \(0.513059\pi\)
\(338\) 0.734739 + 0.424202i 0.0399645 + 0.0230735i
\(339\) −7.88784 1.12165i −0.428409 0.0609197i
\(340\) −3.00198 5.19959i −0.162805 0.281987i
\(341\) 7.25241 12.5615i 0.392740 0.680245i
\(342\) −1.11087 4.51800i −0.0600687 0.244306i
\(343\) 17.9200 + 4.67695i 0.967589 + 0.252532i
\(344\) 19.3425i 1.04288i
\(345\) 4.53389 + 11.2745i 0.244097 + 0.607001i
\(346\) −5.57690 + 3.21983i −0.299816 + 0.173099i
\(347\) −28.0438 + 16.1911i −1.50547 + 0.869184i −0.505491 + 0.862832i \(0.668689\pi\)
−0.999980 + 0.00635188i \(0.997978\pi\)
\(348\) 3.06957 + 7.63318i 0.164546 + 0.409181i
\(349\) 4.22849i 0.226346i −0.993575 0.113173i \(-0.963899\pi\)
0.993575 0.113173i \(-0.0361014\pi\)
\(350\) −6.12265 4.26738i −0.327270 0.228101i
\(351\) −4.73655 2.13660i −0.252818 0.114043i
\(352\) −4.29520 + 7.43951i −0.228935 + 0.396527i
\(353\) −10.2792 17.8041i −0.547107 0.947617i −0.998471 0.0552773i \(-0.982396\pi\)
0.451364 0.892340i \(-0.350938\pi\)
\(354\) −21.5687 3.06706i −1.14636 0.163012i
\(355\) 25.4276 + 14.6806i 1.34956 + 0.779168i
\(356\) −4.57983 −0.242730
\(357\) 1.67166 7.25868i 0.0884736 0.384170i
\(358\) −14.5303 −0.767948
\(359\) −8.53293 4.92649i −0.450351 0.260010i 0.257627 0.966244i \(-0.417059\pi\)
−0.707978 + 0.706234i \(0.750393\pi\)
\(360\) 16.6769 + 17.3823i 0.878951 + 0.916126i
\(361\) −7.82927 13.5607i −0.412067 0.713720i
\(362\) 6.41004 11.1025i 0.336904 0.583535i
\(363\) 11.9361 + 9.35682i 0.626483 + 0.491106i
\(364\) −0.287891 + 3.37486i −0.0150896 + 0.176891i
\(365\) 45.4175i 2.37726i
\(366\) −11.4902 + 4.62060i −0.600601 + 0.241523i
\(367\) −15.4397 + 8.91413i −0.805947 + 0.465314i −0.845547 0.533902i \(-0.820725\pi\)
0.0395991 + 0.999216i \(0.487392\pi\)
\(368\) −0.419833 + 0.242391i −0.0218853 + 0.0126355i
\(369\) 25.1661 + 7.30496i 1.31010 + 0.380281i
\(370\) 4.58403i 0.238312i
\(371\) −0.457761 + 5.36620i −0.0237658 + 0.278599i
\(372\) 13.2471 16.8988i 0.686830 0.876162i
\(373\) −11.2001 + 19.3991i −0.579917 + 1.00445i 0.415572 + 0.909560i \(0.363582\pi\)
−0.995488 + 0.0948847i \(0.969752\pi\)
\(374\) −1.03281 1.78888i −0.0534053 0.0925007i
\(375\) −1.17860 + 8.28832i −0.0608626 + 0.428007i
\(376\) −6.00917 3.46940i −0.309899 0.178921i
\(377\) 3.71033 0.191092
\(378\) 0.171932 + 11.6624i 0.00884324 + 0.599847i
\(379\) 1.91843 0.0985431 0.0492716 0.998785i \(-0.484310\pi\)
0.0492716 + 0.998785i \(0.484310\pi\)
\(380\) −5.84747 3.37604i −0.299969 0.173187i
\(381\) 3.40175 23.9223i 0.174277 1.22558i
\(382\) 3.66046 + 6.34010i 0.187285 + 0.324388i
\(383\) −7.94693 + 13.7645i −0.406069 + 0.703332i −0.994445 0.105255i \(-0.966434\pi\)
0.588376 + 0.808587i \(0.299767\pi\)
\(384\) −8.20701 + 10.4693i −0.418812 + 0.534262i
\(385\) 9.38072 + 6.53819i 0.478086 + 0.333217i
\(386\) 8.81091i 0.448463i
\(387\) 20.0245 + 5.81251i 1.01790 + 0.295467i
\(388\) 1.46004 0.842954i 0.0741222 0.0427945i
\(389\) −9.74647 + 5.62713i −0.494166 + 0.285307i −0.726301 0.687377i \(-0.758762\pi\)
0.232135 + 0.972684i \(0.425429\pi\)
\(390\) 3.93370 1.58188i 0.199190 0.0801015i
\(391\) 3.95249i 0.199886i
\(392\) 18.2767 6.74207i 0.923114 0.340526i
\(393\) 29.4411 + 23.0791i 1.48511 + 1.16419i
\(394\) 5.82537 10.0898i 0.293478 0.508319i
\(395\) −13.3350 23.0969i −0.670958 1.16213i
\(396\) −3.98276 4.15121i −0.200141 0.208606i
\(397\) −2.13361 1.23184i −0.107083 0.0618243i 0.445502 0.895281i \(-0.353025\pi\)
−0.552585 + 0.833457i \(0.686359\pi\)
\(398\) 15.2646 0.765146
\(399\) −2.45348 8.00945i −0.122827 0.400974i
\(400\) 0.662844 0.0331422
\(401\) 2.58757 + 1.49394i 0.129217 + 0.0746036i 0.563215 0.826310i \(-0.309564\pi\)
−0.433998 + 0.900914i \(0.642898\pi\)
\(402\) 20.9481 + 2.97881i 1.04479 + 0.148570i
\(403\) −4.84177 8.38619i −0.241186 0.417746i
\(404\) 7.21078 12.4894i 0.358750 0.621373i
\(405\) −23.0067 + 12.0416i −1.14321 + 0.598349i
\(406\) −3.53611 7.54049i −0.175494 0.374228i
\(407\) 2.80502i 0.139040i
\(408\) −2.92319 7.26918i −0.144720 0.359878i
\(409\) 8.02337 4.63229i 0.396730 0.229052i −0.288342 0.957527i \(-0.593104\pi\)
0.685072 + 0.728475i \(0.259771\pi\)
\(410\) −18.5175 + 10.6911i −0.914513 + 0.527994i
\(411\) 2.32248 + 5.77537i 0.114560 + 0.284878i
\(412\) 8.93255i 0.440075i
\(413\) −39.0824 3.33391i −1.92312 0.164051i
\(414\) 1.47773 + 6.01006i 0.0726262 + 0.295378i
\(415\) 17.9546 31.0983i 0.881358 1.52656i
\(416\) 2.86751 + 4.96668i 0.140591 + 0.243511i
\(417\) 13.9614 + 1.98531i 0.683691 + 0.0972209i
\(418\) −2.01178 1.16150i −0.0983992 0.0568108i
\(419\) −17.3067 −0.845489 −0.422745 0.906249i \(-0.638933\pi\)
−0.422745 + 0.906249i \(0.638933\pi\)
\(420\) 12.3858 + 11.5374i 0.604366 + 0.562969i
\(421\) −11.0648 −0.539264 −0.269632 0.962963i \(-0.586902\pi\)
−0.269632 + 0.962963i \(0.586902\pi\)
\(422\) 6.65107 + 3.84000i 0.323769 + 0.186928i
\(423\) 5.39753 5.17851i 0.262437 0.251788i
\(424\) 2.83248 + 4.90599i 0.137557 + 0.238256i
\(425\) −2.70213 + 4.68022i −0.131072 + 0.227024i
\(426\) 11.7688 + 9.22563i 0.570198 + 0.446983i
\(427\) −20.1882 + 9.46724i −0.976974 + 0.458152i
\(428\) 1.93380i 0.0934739i
\(429\) −2.40707 + 0.967969i −0.116215 + 0.0467340i
\(430\) −14.7342 + 8.50681i −0.710548 + 0.410235i
\(431\) −18.7270 + 10.8120i −0.902048 + 0.520798i −0.877864 0.478910i \(-0.841032\pi\)
−0.0241841 + 0.999708i \(0.507699\pi\)
\(432\) −0.604803 0.841040i −0.0290986 0.0404645i
\(433\) 14.4547i 0.694649i −0.937745 0.347325i \(-0.887090\pi\)
0.937745 0.347325i \(-0.112910\pi\)
\(434\) −12.4288 + 17.8323i −0.596602 + 0.855979i
\(435\) 11.4394 14.5928i 0.548479 0.699673i
\(436\) −8.07320 + 13.9832i −0.386636 + 0.669674i
\(437\) −2.22249 3.84946i −0.106316 0.184145i
\(438\) −3.25651 + 22.9009i −0.155602 + 1.09425i
\(439\) −12.6049 7.27745i −0.601600 0.347334i 0.168071 0.985775i \(-0.446246\pi\)
−0.769671 + 0.638441i \(0.779580\pi\)
\(440\) 12.0273 0.573381
\(441\) 1.48756 + 20.9472i 0.0708364 + 0.997488i
\(442\) −1.37903 −0.0655935
\(443\) 12.7360 + 7.35313i 0.605106 + 0.349358i 0.771048 0.636778i \(-0.219733\pi\)
−0.165942 + 0.986136i \(0.553066\pi\)
\(444\) 0.584592 4.11105i 0.0277435 0.195102i
\(445\) 5.16089 + 8.93892i 0.244650 + 0.423745i
\(446\) −8.53805 + 14.7883i −0.404289 + 0.700248i
\(447\) 14.1487 18.0489i 0.669210 0.853684i
\(448\) 6.75769 9.69564i 0.319271 0.458076i
\(449\) 14.2365i 0.671862i −0.941887 0.335931i \(-0.890949\pi\)
0.941887 0.335931i \(-0.109051\pi\)
\(450\) 2.35898 8.12688i 0.111204 0.383105i
\(451\) 11.3310 6.54198i 0.533558 0.308050i
\(452\) −5.09985 + 2.94440i −0.239877 + 0.138493i
\(453\) −2.55160 + 1.02609i −0.119884 + 0.0482098i
\(454\) 14.5570i 0.683193i
\(455\) 6.91149 3.24114i 0.324015 0.151947i
\(456\) −6.93446 5.43599i −0.324736 0.254563i
\(457\) 4.10055 7.10235i 0.191815 0.332234i −0.754036 0.656833i \(-0.771896\pi\)
0.945852 + 0.324598i \(0.105229\pi\)
\(458\) 0.809252 + 1.40167i 0.0378139 + 0.0654955i
\(459\) 8.40395 0.841849i 0.392263 0.0392942i
\(460\) 7.77858 + 4.49096i 0.362678 + 0.209392i
\(461\) −33.7358 −1.57124 −0.785618 0.618712i \(-0.787655\pi\)
−0.785618 + 0.618712i \(0.787655\pi\)
\(462\) 4.26125 + 3.96937i 0.198251 + 0.184672i
\(463\) −25.2866 −1.17517 −0.587583 0.809164i \(-0.699920\pi\)
−0.587583 + 0.809164i \(0.699920\pi\)
\(464\) 0.640602 + 0.369852i 0.0297392 + 0.0171699i
\(465\) −47.9109 6.81293i −2.22182 0.315942i
\(466\) 2.39129 + 4.14183i 0.110774 + 0.191867i
\(467\) −20.1614 + 34.9205i −0.932957 + 1.61593i −0.154721 + 0.987958i \(0.549448\pi\)
−0.778236 + 0.627971i \(0.783885\pi\)
\(468\) −3.72955 + 0.917005i −0.172399 + 0.0423886i
\(469\) 37.9579 + 3.23798i 1.75273 + 0.149516i
\(470\) 6.10336i 0.281527i
\(471\) −8.61499 21.4231i −0.396958 0.987125i
\(472\) −35.7307 + 20.6291i −1.64464 + 0.949533i
\(473\) 9.01604 5.20542i 0.414558 0.239345i
\(474\) −5.06784 12.6023i −0.232774 0.578844i
\(475\) 6.07763i 0.278861i
\(476\) −2.33756 4.98466i −0.107142 0.228472i
\(477\) −5.93017 + 1.45808i −0.271524 + 0.0667610i
\(478\) −1.62938 + 2.82218i −0.0745263 + 0.129083i
\(479\) 7.11025 + 12.3153i 0.324876 + 0.562701i 0.981487 0.191528i \(-0.0613442\pi\)
−0.656612 + 0.754229i \(0.728011\pi\)
\(480\) 28.3750 + 4.03492i 1.29514 + 0.184168i
\(481\) −1.62177 0.936328i −0.0739463 0.0426929i
\(482\) 12.0127 0.547164
\(483\) 3.26373 + 10.6545i 0.148505 + 0.484799i
\(484\) 11.2100 0.509544
\(485\) −3.29056 1.89980i −0.149417 0.0862657i
\(486\) −12.4641 + 4.42210i −0.565383 + 0.200590i
\(487\) 9.64867 + 16.7120i 0.437223 + 0.757292i 0.997474 0.0710304i \(-0.0226287\pi\)
−0.560251 + 0.828323i \(0.689295\pi\)
\(488\) −11.7270 + 20.3118i −0.530856 + 0.919470i
\(489\) −20.9026 16.3858i −0.945250 0.740990i
\(490\) −13.1739 10.9572i −0.595136 0.494998i
\(491\) 29.6404i 1.33765i −0.743420 0.668825i \(-0.766797\pi\)
0.743420 0.668825i \(-0.233203\pi\)
\(492\) 17.9703 7.22648i 0.810162 0.325795i
\(493\) −5.22291 + 3.01545i −0.235228 + 0.135809i
\(494\) −1.34308 + 0.775428i −0.0604280 + 0.0348881i
\(495\) −3.61428 + 12.4515i −0.162450 + 0.559652i
\(496\) 1.93054i 0.0866839i
\(497\) 22.0882 + 15.3950i 0.990789 + 0.690562i
\(498\) 11.2831 14.3934i 0.505606 0.644981i
\(499\) −12.5372 + 21.7151i −0.561243 + 0.972101i 0.436146 + 0.899876i \(0.356343\pi\)
−0.997388 + 0.0722250i \(0.976990\pi\)
\(500\) 3.09389 + 5.35877i 0.138363 + 0.239652i
\(501\) −1.94771 + 13.6970i −0.0870171 + 0.611935i
\(502\) −0.136844 0.0790070i −0.00610765 0.00352626i
\(503\) 15.9328 0.710409 0.355205 0.934789i \(-0.384411\pi\)
0.355205 + 0.934789i \(0.384411\pi\)
\(504\) 13.8824 + 17.1814i 0.618370 + 0.765320i
\(505\) −32.5026 −1.44635
\(506\) 2.67616 + 1.54508i 0.118970 + 0.0686873i
\(507\) −0.243844 + 1.71480i −0.0108295 + 0.0761570i
\(508\) −8.92978 15.4668i −0.396195 0.686230i
\(509\) 9.92936 17.1981i 0.440111 0.762294i −0.557586 0.830119i \(-0.688272\pi\)
0.997697 + 0.0678245i \(0.0216058\pi\)
\(510\) −4.25172 + 5.42374i −0.188269 + 0.240167i
\(511\) −3.53984 + 41.4965i −0.156593 + 1.83569i
\(512\) 2.25299i 0.0995689i
\(513\) 7.71152 5.54546i 0.340472 0.244838i
\(514\) 11.9644 6.90766i 0.527728 0.304684i
\(515\) −17.4346 + 10.0659i −0.768260 + 0.443555i
\(516\) 14.2988 5.75006i 0.629470 0.253132i
\(517\) 3.73472i 0.164253i
\(518\) −0.357279 + 4.18828i −0.0156979 + 0.184022i
\(519\) −10.3467 8.11083i −0.454168 0.356026i
\(520\) 4.01478 6.95380i 0.176060 0.304944i
\(521\) 0.996831 + 1.72656i 0.0436719 + 0.0756420i 0.887035 0.461702i \(-0.152761\pi\)
−0.843363 + 0.537344i \(0.819428\pi\)
\(522\) 6.81444 6.53792i 0.298260 0.286157i
\(523\) −26.9491 15.5591i −1.17840 0.680351i −0.222758 0.974874i \(-0.571506\pi\)
−0.955644 + 0.294523i \(0.904839\pi\)
\(524\) 27.6500 1.20790
\(525\) 3.41935 14.8475i 0.149233 0.647999i
\(526\) −10.8921 −0.474918
\(527\) 13.6312 + 7.86998i 0.593785 + 0.342822i
\(528\) −0.512079 0.0728176i −0.0222854 0.00316898i
\(529\) −8.54354 14.7978i −0.371458 0.643385i
\(530\) 2.49145 4.31531i 0.108221 0.187445i
\(531\) −10.6193 43.1899i −0.460840 1.87428i
\(532\) −5.07951 3.54032i −0.220225 0.153492i
\(533\) 8.73497i 0.378354i
\(534\) 1.96134 + 4.87732i 0.0848756 + 0.211062i
\(535\) −3.77440 + 2.17915i −0.163182 + 0.0942130i
\(536\) 34.7027 20.0356i 1.49893 0.865406i
\(537\) −11.0676 27.5221i −0.477603 1.18767i
\(538\) 15.5553i 0.670636i
\(539\) 8.06126 + 6.70486i 0.347223 + 0.288799i
\(540\) −7.89210 + 17.4957i −0.339622 + 0.752894i
\(541\) −9.91521 + 17.1736i −0.426288 + 0.738353i −0.996540 0.0831173i \(-0.973512\pi\)
0.570252 + 0.821470i \(0.306846\pi\)
\(542\) −1.04052 1.80224i −0.0446942 0.0774127i
\(543\) 25.9120 + 3.68469i 1.11199 + 0.158125i
\(544\) −8.07301 4.66096i −0.346128 0.199837i
\(545\) 36.3899 1.55877
\(546\) 3.71738 1.13872i 0.159089 0.0487326i
\(547\) 43.9288 1.87826 0.939130 0.343562i \(-0.111634\pi\)
0.939130 + 0.343562i \(0.111634\pi\)
\(548\) 3.98457 + 2.30049i 0.170212 + 0.0982721i
\(549\) −17.5040 18.2443i −0.747053 0.778649i
\(550\) −2.11260 3.65912i −0.0900814 0.156026i
\(551\) −3.39118 + 5.87370i −0.144469 + 0.250228i
\(552\) 9.22455 + 7.23120i 0.392623 + 0.307780i
\(553\) −10.3836 22.1422i −0.441555 0.941583i
\(554\) 1.51376i 0.0643136i
\(555\) −8.68273 + 3.49163i −0.368561 + 0.148212i
\(556\) 9.02665 5.21154i 0.382815 0.221019i
\(557\) 23.9317 13.8170i 1.01402 0.585445i 0.101654 0.994820i \(-0.467587\pi\)
0.912366 + 0.409375i \(0.134253\pi\)
\(558\) −23.6697 6.87058i −1.00202 0.290855i
\(559\) 6.95036i 0.293969i
\(560\) 1.51638 + 0.129354i 0.0640786 + 0.00546619i
\(561\) 2.60167 3.31885i 0.109843 0.140122i
\(562\) 10.8295 18.7573i 0.456816 0.791228i
\(563\) −15.0582 26.0816i −0.634629 1.09921i −0.986594 0.163196i \(-0.947820\pi\)
0.351965 0.936013i \(-0.385514\pi\)
\(564\) 0.778349 5.47362i 0.0327744 0.230481i
\(565\) 11.4938 + 6.63593i 0.483546 + 0.279176i
\(566\) 1.82166 0.0765702
\(567\) −21.9590 + 9.20882i −0.922191 + 0.386734i
\(568\) 28.3200 1.18828
\(569\) −32.0864 18.5251i −1.34513 0.776613i −0.357578 0.933883i \(-0.616397\pi\)
−0.987556 + 0.157270i \(0.949731\pi\)
\(570\) −1.09112 + 7.67312i −0.0457018 + 0.321391i
\(571\) 22.3494 + 38.7102i 0.935292 + 1.61997i 0.774113 + 0.633048i \(0.218196\pi\)
0.161179 + 0.986925i \(0.448470\pi\)
\(572\) −0.958804 + 1.66070i −0.0400896 + 0.0694372i
\(573\) −9.22079 + 11.7626i −0.385204 + 0.491389i
\(574\) −17.7520 + 8.32482i −0.740956 + 0.347471i
\(575\) 8.08475i 0.337158i
\(576\) 12.8695 + 3.73561i 0.536228 + 0.155651i
\(577\) 2.93489 1.69446i 0.122181 0.0705412i −0.437664 0.899139i \(-0.644194\pi\)
0.559845 + 0.828597i \(0.310861\pi\)
\(578\) −10.5494 + 6.09067i −0.438795 + 0.253339i
\(579\) 16.6890 6.71122i 0.693569 0.278909i
\(580\) 13.7051i 0.569072i
\(581\) 18.8283 27.0141i 0.781131 1.12073i
\(582\) −1.52298 1.19388i −0.0631296 0.0494878i
\(583\) −1.52454 + 2.64059i −0.0631402 + 0.109362i
\(584\) 21.9034 + 37.9377i 0.906367 + 1.56987i
\(585\) 5.99255 + 6.24600i 0.247761 + 0.258240i
\(586\) −2.05527 1.18661i −0.0849026 0.0490185i
\(587\) 11.5337 0.476049 0.238024 0.971259i \(-0.423500\pi\)
0.238024 + 0.971259i \(0.423500\pi\)
\(588\) 10.4173 + 11.5067i 0.429601 + 0.474529i
\(589\) 17.7012 0.729365
\(590\) 31.4287 + 18.1454i 1.29390 + 0.747034i
\(591\) 23.5486 + 3.34860i 0.968659 + 0.137743i
\(592\) −0.186669 0.323321i −0.00767207 0.0132884i
\(593\) 17.7402 30.7269i 0.728503 1.26180i −0.229013 0.973423i \(-0.573550\pi\)
0.957516 0.288380i \(-0.0931167\pi\)
\(594\) −2.71522 + 6.01926i −0.111407 + 0.246973i
\(595\) −7.09495 + 10.1795i −0.290865 + 0.417320i
\(596\) 16.9509i 0.694335i
\(597\) 11.6270 + 28.9131i 0.475860 + 1.18333i
\(598\) 1.78663 1.03151i 0.0730606 0.0421816i
\(599\) 1.86232 1.07521i 0.0760923 0.0439319i −0.461471 0.887155i \(-0.652678\pi\)
0.537563 + 0.843223i \(0.319345\pi\)
\(600\) −5.97935 14.8690i −0.244106 0.607024i
\(601\) 27.0283i 1.10251i 0.834338 + 0.551254i \(0.185850\pi\)
−0.834338 + 0.551254i \(0.814150\pi\)
\(602\) −14.1252 + 6.62400i −0.575700 + 0.269974i
\(603\) 10.3138 + 41.9472i 0.420010 + 1.70822i
\(604\) −1.01637 + 1.76041i −0.0413556 + 0.0716299i
\(605\) −12.6322 21.8797i −0.513573 0.889534i
\(606\) −16.3888 2.33048i −0.665749 0.0946695i
\(607\) 1.76214 + 1.01737i 0.0715230 + 0.0412938i 0.535335 0.844640i \(-0.320185\pi\)
−0.463812 + 0.885934i \(0.653519\pi\)
\(608\) −10.4834 −0.425160
\(609\) 11.5892 12.4414i 0.469618 0.504150i
\(610\) 20.6301 0.835290
\(611\) −2.15929 1.24667i −0.0873554 0.0504347i
\(612\) 4.50471 4.32191i 0.182092 0.174703i
\(613\) 3.25339 + 5.63503i 0.131403 + 0.227597i 0.924218 0.381866i \(-0.124718\pi\)
−0.792815 + 0.609463i \(0.791385\pi\)
\(614\) 6.51323 11.2813i 0.262853 0.455274i
\(615\) −34.3549 26.9311i −1.38532 1.08597i
\(616\) 10.9890 + 0.937410i 0.442758 + 0.0377693i
\(617\) 49.1555i 1.97893i −0.144781 0.989464i \(-0.546248\pi\)
0.144781 0.989464i \(-0.453752\pi\)
\(618\) −9.51279 + 3.82543i −0.382660 + 0.153881i
\(619\) −9.98666 + 5.76580i −0.401398 + 0.231747i −0.687087 0.726575i \(-0.741111\pi\)
0.285689 + 0.958322i \(0.407778\pi\)
\(620\) −30.9766 + 17.8843i −1.24405 + 0.718252i
\(621\) −10.2582 + 7.37683i −0.411648 + 0.296022i
\(622\) 27.9519i 1.12077i
\(623\) 4.01863 + 8.56943i 0.161003 + 0.343327i
\(624\) −0.213035 + 0.271760i −0.00852821 + 0.0108791i
\(625\) 15.2849 26.4741i 0.611394 1.05897i
\(626\) 2.10518 + 3.64628i 0.0841400 + 0.145735i
\(627\) 0.667667 4.69527i 0.0266640 0.187511i
\(628\) −14.7803 8.53341i −0.589798 0.340520i
\(629\) 3.04388 0.121368
\(630\) 6.98256 18.1314i 0.278192 0.722371i
\(631\) −19.2682 −0.767055 −0.383527 0.923530i \(-0.625291\pi\)
−0.383527 + 0.923530i \(0.625291\pi\)
\(632\) −22.2778 12.8621i −0.886162 0.511626i
\(633\) −2.20735 + 15.5229i −0.0877343 + 0.616978i
\(634\) −12.7558 22.0937i −0.506598 0.877454i
\(635\) −20.1255 + 34.8583i −0.798655 + 1.38331i
\(636\) −2.78470 + 3.55233i −0.110421 + 0.140859i
\(637\) 6.56741 2.42264i 0.260210 0.0959884i
\(638\) 4.71512i 0.186674i
\(639\) −8.51030 + 29.3186i −0.336662 + 1.15983i
\(640\) 19.1910 11.0799i 0.758590 0.437972i
\(641\) 39.1882 22.6253i 1.54784 0.893647i 0.549536 0.835470i \(-0.314805\pi\)
0.998306 0.0581766i \(-0.0185286\pi\)
\(642\) −2.05942 + 0.828165i −0.0812787 + 0.0326851i
\(643\) 15.0422i 0.593208i 0.955001 + 0.296604i \(0.0958541\pi\)
−0.955001 + 0.296604i \(0.904146\pi\)
\(644\) 6.75700 + 4.70950i 0.266263 + 0.185580i
\(645\) −27.3360 21.4289i −1.07635 0.843762i
\(646\) 1.26041 2.18309i 0.0495901 0.0858925i
\(647\) −9.47075 16.4038i −0.372334 0.644901i 0.617590 0.786500i \(-0.288109\pi\)
−0.989924 + 0.141599i \(0.954776\pi\)
\(648\) −13.4105 + 21.1538i −0.526816 + 0.831001i
\(649\) −19.2316 11.1034i −0.754907 0.435846i
\(650\) −2.82077 −0.110640
\(651\) −43.2436 9.95892i −1.69485 0.390321i
\(652\) −19.6310 −0.768810
\(653\) 7.90001 + 4.56107i 0.309151 + 0.178489i 0.646547 0.762874i \(-0.276213\pi\)
−0.337395 + 0.941363i \(0.609546\pi\)
\(654\) 18.3489 + 2.60921i 0.717499 + 0.102028i
\(655\) −31.1581 53.9674i −1.21745 2.10868i
\(656\) 0.870716 1.50812i 0.0339958 0.0588824i
\(657\) −45.8576 + 11.2753i −1.78908 + 0.439890i
\(658\) −0.475696 + 5.57644i −0.0185446 + 0.217392i
\(659\) 20.5588i 0.800859i −0.916328 0.400429i \(-0.868861\pi\)
0.916328 0.400429i \(-0.131139\pi\)
\(660\) 3.57545 + 8.89115i 0.139174 + 0.346087i
\(661\) 29.1451 16.8269i 1.13361 0.654491i 0.188771 0.982021i \(-0.439550\pi\)
0.944841 + 0.327530i \(0.106216\pi\)
\(662\) 17.9615 10.3701i 0.698094 0.403045i
\(663\) −1.05040 2.61205i −0.0407940 0.101443i
\(664\) 34.6357i 1.34413i
\(665\) −1.18605 + 13.9037i −0.0459930 + 0.539162i
\(666\) −4.62845 + 1.13802i −0.179349 + 0.0440975i
\(667\) 4.51111 7.81347i 0.174671 0.302539i
\(668\) 5.11284 + 8.85570i 0.197822 + 0.342637i
\(669\) −34.5144 4.90794i −1.33440 0.189752i
\(670\) −30.5245 17.6233i −1.17926 0.680847i
\(671\) −12.6238 −0.487337
\(672\) 25.6108 + 5.89812i 0.987958 + 0.227525i
\(673\) 20.2455 0.780405 0.390202 0.920729i \(-0.372405\pi\)
0.390202 + 0.920729i \(0.372405\pi\)
\(674\) 1.10644 + 0.638801i 0.0426183 + 0.0246057i
\(675\) 17.1901 1.72199i 0.661649 0.0662794i
\(676\) 0.640106 + 1.10870i 0.0246194 + 0.0426421i
\(677\) −1.49996 + 2.59801i −0.0576482 + 0.0998497i −0.893409 0.449244i \(-0.851694\pi\)
0.835761 + 0.549093i \(0.185027\pi\)
\(678\) 5.31970 + 4.17016i 0.204302 + 0.160154i
\(679\) −2.85840 1.99225i −0.109695 0.0764557i
\(680\) 13.0515i 0.500503i
\(681\) 27.5727 11.0880i 1.05659 0.424892i
\(682\) −10.6573 + 6.15297i −0.408087 + 0.235609i
\(683\) 2.36000 1.36255i 0.0903029 0.0521364i −0.454169 0.890916i \(-0.650064\pi\)
0.544471 + 0.838779i \(0.316730\pi\)
\(684\) 1.95707 6.74226i 0.0748305 0.257797i
\(685\) 10.3695i 0.396196i
\(686\) −11.1825 11.0380i −0.426952 0.421434i
\(687\) −2.03853 + 2.60047i −0.0777747 + 0.0992140i
\(688\) 0.692823 1.20001i 0.0264136 0.0457498i
\(689\) 1.01780 + 1.76288i 0.0387750 + 0.0671604i
\(690\) 1.45145 10.2071i 0.0552559 0.388579i
\(691\) 32.9210 + 19.0070i 1.25238 + 0.723059i 0.971581 0.236709i \(-0.0760687\pi\)
0.280794 + 0.959768i \(0.409402\pi\)
\(692\) −9.71721 −0.369393
\(693\) −4.27271 + 11.0948i −0.162307 + 0.421456i
\(694\) 27.4732 1.04287
\(695\) −20.3438 11.7455i −0.771684 0.445532i
\(696\) 2.51785 17.7064i 0.0954389 0.671160i
\(697\) 7.09906 + 12.2959i 0.268896 + 0.465742i
\(698\) −1.79373 + 3.10684i −0.0678938 + 0.117595i
\(699\) −6.02372 + 7.68421i −0.227838 + 0.290644i
\(700\) −4.78143 10.1961i −0.180721 0.385374i
\(701\) 51.5487i 1.94697i 0.228757 + 0.973484i \(0.426534\pi\)
−0.228757 + 0.973484i \(0.573466\pi\)
\(702\) 2.57378 + 3.57910i 0.0971410 + 0.135084i
\(703\) 2.96454 1.71158i 0.111810 0.0645534i
\(704\) 5.79447 3.34544i 0.218387 0.126086i
\(705\) −11.5605 + 4.64890i −0.435395 + 0.175088i
\(706\) 17.4418i 0.656432i
\(707\) −29.6965 2.53325i −1.11685 0.0952726i
\(708\) −25.8719 20.2812i −0.972326 0.762214i
\(709\) −20.1154 + 34.8409i −0.755450 + 1.30848i 0.189700 + 0.981842i \(0.439249\pi\)
−0.945150 + 0.326636i \(0.894085\pi\)
\(710\) −12.4551 21.5729i −0.467432 0.809616i
\(711\) 20.0102 19.1982i 0.750442 0.719990i
\(712\) 8.62189 + 4.97785i 0.323119 + 0.186553i
\(713\) −23.5470 −0.881841
\(714\) −4.30738 + 4.62411i −0.161200 + 0.173053i
\(715\) 4.32180 0.161626
\(716\) −18.9882 10.9628i −0.709621 0.409700i
\(717\) −6.58665 0.936621i −0.245983 0.0349787i
\(718\) 4.17965 + 7.23937i 0.155983 + 0.270171i
\(719\) −4.89105 + 8.47154i −0.182405 + 0.315935i −0.942699 0.333644i \(-0.891722\pi\)
0.760294 + 0.649579i \(0.225055\pi\)
\(720\) 0.412024 + 1.67574i 0.0153552 + 0.0624512i
\(721\) −16.7139 + 7.83799i −0.622459 + 0.291902i
\(722\) 13.2848i 0.494407i
\(723\) 9.15002 + 22.7536i 0.340293 + 0.846215i
\(724\) 16.7533 9.67253i 0.622632 0.359477i
\(725\) −10.6834 + 6.16806i −0.396771 + 0.229076i
\(726\) −4.80075 11.9381i −0.178172 0.443066i
\(727\) 15.3676i 0.569953i 0.958535 + 0.284976i \(0.0919857\pi\)
−0.958535 + 0.284976i \(0.908014\pi\)
\(728\) 4.21014 6.04054i 0.156038 0.223877i
\(729\) −17.8698 20.2403i −0.661846 0.749640i
\(730\) 19.2662 33.3700i 0.713074 1.23508i
\(731\) 5.64868 + 9.78380i 0.208924 + 0.361867i
\(732\) −18.5015 2.63092i −0.683837 0.0972415i
\(733\) 24.1277 + 13.9301i 0.891176 + 0.514521i 0.874327 0.485337i \(-0.161303\pi\)
0.0168493 + 0.999858i \(0.494636\pi\)
\(734\) 15.1256 0.558295
\(735\) 10.7199 33.2991i 0.395409 1.22826i
\(736\) 13.9456 0.514041
\(737\) 18.6783 + 10.7839i 0.688023 + 0.397230i
\(738\) −15.3918 16.0428i −0.566579 0.590542i
\(739\) 18.7019 + 32.3926i 0.687959 + 1.19158i 0.972497 + 0.232915i \(0.0748264\pi\)
−0.284538 + 0.958665i \(0.591840\pi\)
\(740\) −3.45857 + 5.99042i −0.127140 + 0.220212i
\(741\) −2.49177 1.95332i −0.0915376 0.0717571i
\(742\) 2.61269 3.74857i 0.0959147 0.137614i
\(743\) 6.06181i 0.222386i −0.993799 0.111193i \(-0.964533\pi\)
0.993799 0.111193i \(-0.0354672\pi\)
\(744\) −43.3062 + 17.4149i −1.58768 + 0.638463i
\(745\) −33.0848 + 19.1015i −1.21213 + 0.699825i
\(746\) 16.4582 9.50216i 0.602579 0.347899i
\(747\) 35.8571 + 10.4082i 1.31194 + 0.380816i
\(748\) 3.11695i 0.113967i
\(749\) −3.61839 + 1.69684i −0.132213 + 0.0620012i
\(750\) 4.38188 5.58979i 0.160004 0.204110i
\(751\) −6.83221 + 11.8337i −0.249311 + 0.431819i −0.963335 0.268302i \(-0.913537\pi\)
0.714024 + 0.700121i \(0.246871\pi\)
\(752\) −0.248539 0.430483i −0.00906329 0.0156981i
\(753\) 0.0454157 0.319379i 0.00165504 0.0116388i
\(754\) −2.72612 1.57393i −0.0992796 0.0573191i
\(755\) 4.58129 0.166730
\(756\) −8.57436 + 15.3701i −0.311846 + 0.559005i
\(757\) −10.9383 −0.397560 −0.198780 0.980044i \(-0.563698\pi\)
−0.198780 + 0.980044i \(0.563698\pi\)
\(758\) −1.40955 0.813802i −0.0511970 0.0295586i
\(759\) −0.888161 + 6.24586i −0.0322382 + 0.226710i
\(760\) 7.33888 + 12.7113i 0.266209 + 0.461088i
\(761\) 16.9321 29.3272i 0.613786 1.06311i −0.376810 0.926291i \(-0.622979\pi\)
0.990596 0.136819i \(-0.0436878\pi\)
\(762\) −12.6473 + 16.1336i −0.458162 + 0.584459i
\(763\) 33.2483 + 2.83623i 1.20367 + 0.102678i
\(764\) 11.0470i 0.399666i
\(765\) −13.5118 3.92205i −0.488519 0.141802i
\(766\) 11.6778 6.74220i 0.421937 0.243606i
\(767\) −12.8392 + 7.41271i −0.463596 + 0.267657i
\(768\) 24.8276 9.98404i 0.895888 0.360268i
\(769\) 26.8561i 0.968456i 0.874942 + 0.484228i \(0.160900\pi\)
−0.874942 + 0.484228i \(0.839100\pi\)
\(770\) −4.11887 8.78318i −0.148434 0.316524i
\(771\) 22.1972 + 17.4006i 0.799413 + 0.626667i
\(772\) 6.64767 11.5141i 0.239255 0.414402i
\(773\) 16.5898 + 28.7344i 0.596694 + 1.03350i 0.993305 + 0.115518i \(0.0368527\pi\)
−0.396611 + 0.917987i \(0.629814\pi\)
\(774\) −12.2471 12.7651i −0.440214 0.458833i
\(775\) 27.8824 + 16.0979i 1.00157 + 0.578255i
\(776\)