Properties

Label 273.2.bh.a.131.20
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 131.20
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.734739 + 0.424202i) q^{2} +(1.60698 + 0.646225i) q^{3} +(-0.640106 - 1.10870i) q^{4} +(1.44264 - 2.49872i) q^{5} +(0.906583 + 1.15649i) q^{6} +(-1.51284 + 2.17056i) q^{7} -2.78294i q^{8} +(2.16479 + 2.07694i) q^{9} +O(q^{10})\) \(q+(0.734739 + 0.424202i) q^{2} +(1.60698 + 0.646225i) 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} +(2.16479 + 2.07694i) q^{9} +(2.11992 - 1.22394i) q^{10} +(1.29721 - 0.748942i) q^{11} +(-0.312172 - 2.19531i) 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} +(0.709511 + 2.44432i) q^{18} +(-1.58307 - 0.913984i) q^{19} -3.69376 q^{20} +(-3.83377 + 2.51041i) q^{21} +1.27081 q^{22} +(-2.10587 - 1.21582i) q^{23} +(1.79841 - 4.47214i) 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} +(4.19762 - 0.596901i) q^{30} +(-8.38619 + 4.84177i) q^{31} +(-4.96668 + 2.86751i) q^{32} +(2.56857 - 0.365251i) 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} +(-0.646225 + 1.60698i) q^{39} +(-6.95380 - 4.01478i) q^{40} +8.73497 q^{41} +(-3.88175 + 0.218206i) q^{42} -6.95036 q^{43} +(-1.66070 - 0.958804i) q^{44} +(8.31270 - 2.41292i) 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} +(0.396353 + 2.78730i) q^{51} +(1.10870 - 0.640106i) q^{52} +(-1.76288 + 1.01780i) q^{53} +(-0.439407 + 4.38648i) 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} +(-5.93581 - 2.38700i) q^{60} +(7.29866 + 4.21389i) q^{61} -8.21555 q^{62} +(-7.78310 + 1.55671i) q^{63} -4.46689 q^{64} +(2.49872 + 1.44264i) q^{65} +(2.04217 + 0.821229i) 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} +(5.78002 - 6.02448i) q^{72} +(13.6322 - 7.87057i) q^{73} +(-1.37591 + 0.794384i) q^{74} +(-0.810735 - 5.70137i) 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} +(0.372610 + 8.99228i) q^{81} +(6.41793 + 3.70539i) q^{82} +12.4457 q^{83} +(5.23731 + 2.64356i) q^{84} +4.68982 q^{85} +(-5.10670 - 2.94836i) q^{86} +(-2.39771 + 5.96244i) 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} +(-16.6053 + 2.36128i) q^{93} +(1.83195 - 1.05768i) q^{94} +(-4.56758 + 2.63709i) q^{95} +(-9.83443 + 1.39845i) 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 0.736746 0.676170i \(-0.236361\pi\)
−0.217207 + 0.976126i \(0.569695\pi\)
\(3\) 1.60698 + 0.646225i 0.927792 + 0.373098i
\(4\) −0.640106 1.10870i −0.320053 0.554348i
\(5\) 1.44264 2.49872i 0.645167 1.11746i −0.339096 0.940752i \(-0.610121\pi\)
0.984263 0.176710i \(-0.0565454\pi\)
\(6\) 0.906583 + 1.15649i 0.370111 + 0.472136i
\(7\) −1.51284 + 2.17056i −0.571799 + 0.820394i
\(8\) 2.78294i 0.983919i
\(9\) 2.16479 + 2.07694i 0.721596 + 0.692315i
\(10\) 2.11992 1.22394i 0.670379 0.387043i
\(11\) 1.29721 0.748942i 0.391122 0.225814i −0.291524 0.956563i \(-0.594162\pi\)
0.682646 + 0.730749i \(0.260829\pi\)
\(12\) −0.312172 2.19531i −0.0901164 0.633730i
\(13\) 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 0.947591 0.319486i \(-0.103510\pi\)
−0.750478 + 0.660895i \(0.770177\pi\)
\(18\) 0.709511 + 2.44432i 0.167233 + 0.576131i
\(19\) −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
\(21\) −3.83377 + 2.51041i −0.836598 + 0.547817i
\(22\) 1.27081 0.270938
\(23\) −2.10587 1.21582i −0.439104 0.253517i 0.264113 0.964492i \(-0.414921\pi\)
−0.703218 + 0.710975i \(0.748254\pi\)
\(24\) 1.79841 4.47214i 0.367098 0.912872i
\(25\) −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 \(0.111950\pi\)
−0.938788 + 0.344496i \(0.888050\pi\)
\(30\) 4.19762 0.596901i 0.766377 0.108979i
\(31\) −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
\(33\) 2.56857 0.365251i 0.447131 0.0635820i
\(34\) 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
\(39\) −0.646225 + 1.60698i −0.103479 + 0.257323i
\(40\) −6.95380 4.01478i −1.09949 0.634792i
\(41\) 8.73497 1.36417 0.682087 0.731271i \(-0.261073\pi\)
0.682087 + 0.731271i \(0.261073\pi\)
\(42\) −3.88175 + 0.218206i −0.598966 + 0.0336700i
\(43\) −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
\(45\) 8.31270 2.41292i 1.23918 0.359697i
\(46\) −1.03151 1.78663i −0.152088 0.263424i
\(47\) 1.24667 2.15929i 0.181845 0.314964i −0.760664 0.649146i \(-0.775126\pi\)
0.942509 + 0.334181i \(0.108460\pi\)
\(48\) −0.271760 + 0.213035i −0.0392251 + 0.0307489i
\(49\) −2.42264 6.56741i −0.346091 0.938201i
\(50\) 2.82077i 0.398918i
\(51\) 0.396353 + 2.78730i 0.0555006 + 0.390300i
\(52\) 1.10870 0.640106i 0.153748 0.0887667i
\(53\) −1.76288 + 1.01780i −0.242150 + 0.139805i −0.616165 0.787617i \(-0.711314\pi\)
0.374014 + 0.927423i \(0.377981\pi\)
\(54\) −0.439407 + 4.38648i −0.0597958 + 0.596924i
\(55\) 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 \(-0.751067\pi\)
−0.255578 0.966788i \(-0.582266\pi\)
\(60\) −5.93581 2.38700i −0.766310 0.308160i
\(61\) 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
\(63\) −7.78310 + 1.55671i −0.980578 + 0.196128i
\(64\) −4.46689 −0.558361
\(65\) 2.49872 + 1.44264i 0.309928 + 0.178937i
\(66\) 2.04217 + 0.821229i 0.251374 + 0.101086i
\(67\) −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 \(0.206367\pi\)
−0.797098 + 0.603850i \(0.793633\pi\)
\(72\) 5.78002 6.02448i 0.681181 0.709992i
\(73\) 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
\(75\) −0.810735 5.70137i −0.0936156 0.658338i
\(76\) 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
\(81\) 0.372610 + 8.99228i 0.0414011 + 0.999143i
\(82\) 6.41793 + 3.70539i 0.708741 + 0.409192i
\(83\) 12.4457 1.36609 0.683047 0.730375i \(-0.260655\pi\)
0.683047 + 0.730375i \(0.260655\pi\)
\(84\) 5.23731 + 2.64356i 0.571437 + 0.288436i
\(85\) 4.68982 0.508683
\(86\) −5.10670 2.94836i −0.550670 0.317929i
\(87\) −2.39771 + 5.96244i −0.257061 + 0.639240i
\(88\) −2.08426 3.61005i −0.222183 0.384832i
\(89\) −1.78870 + 3.09812i −0.189602 + 0.328400i −0.945118 0.326731i \(-0.894053\pi\)
0.755516 + 0.655131i \(0.227386\pi\)
\(90\) 7.13123 + 1.75339i 0.751698 + 0.184824i
\(91\) −2.17056 1.51284i −0.227536 0.158589i
\(92\) 3.11302i 0.324555i
\(93\) −16.6053 + 2.36128i −1.72189 + 0.244853i
\(94\) 1.83195 1.05768i 0.188951 0.109091i
\(95\) −4.56758 + 2.63709i −0.468624 + 0.270560i
\(96\) −9.83443 + 1.39845i −1.00372 + 0.142729i
\(97\) 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 \(-0.977293\pi\)
0.437002 0.899460i \(-0.356040\pi\)
\(102\) −0.891160 + 2.21607i −0.0882380 + 0.219424i
\(103\) 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
\(105\) 0.742082 + 13.2011i 0.0724198 + 1.28830i
\(106\) −1.72701 −0.167742
\(107\) −1.30816 0.755267i −0.126465 0.0730145i 0.435433 0.900221i \(-0.356595\pi\)
−0.561898 + 0.827207i \(0.689929\pi\)
\(108\) 3.88374 5.40074i 0.373713 0.519686i
\(109\) −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 \(0.0694183\pi\)
−0.976314 + 0.216359i \(0.930582\pi\)
\(114\) −0.378167 2.65941i −0.0354186 0.249076i
\(115\) −6.07601 + 3.50799i −0.566591 + 0.327121i
\(116\) 4.11363 2.37500i 0.381941 0.220514i
\(117\) −2.07694 + 2.16479i −0.192014 + 0.200135i
\(118\) 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
\(123\) 14.0369 + 5.64475i 1.26567 + 0.508970i
\(124\) 10.7361 + 6.19849i 0.964130 + 0.556641i
\(125\) 4.83340 0.432313
\(126\) −6.37891 2.15783i −0.568278 0.192234i
\(127\) 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
\(129\) −11.1691 4.49149i −0.983385 0.395454i
\(130\) 1.22394 + 2.11992i 0.107346 + 0.185930i
\(131\) 10.7990 18.7044i 0.943514 1.63421i 0.184815 0.982773i \(-0.440831\pi\)
0.758699 0.651441i \(-0.225835\pi\)
\(132\) −2.04911 2.61396i −0.178352 0.227516i
\(133\) 4.37878 2.05343i 0.379688 0.178055i
\(134\) 12.2160i 1.05530i
\(135\) 14.9177 + 1.49435i 1.28391 + 0.128613i
\(136\) 3.91746 2.26175i 0.335919 0.193943i
\(137\) 3.11243 1.79696i 0.265913 0.153525i −0.361116 0.932521i \(-0.617604\pi\)
0.627029 + 0.778996i \(0.284271\pi\)
\(138\) −0.503056 3.53767i −0.0428230 0.301146i
\(139\) 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
\(144\) −0.574381 + 0.166725i −0.0478651 + 0.0138938i
\(145\) 9.27108 + 5.35266i 0.769921 + 0.444514i
\(146\) 13.3548 1.10526
\(147\) 0.350881 12.1193i 0.0289402 0.999581i
\(148\) 2.39740 0.197065
\(149\) −11.4668 6.62035i −0.939395 0.542360i −0.0496245 0.998768i \(-0.515802\pi\)
−0.889771 + 0.456408i \(0.849136\pi\)
\(150\) 1.82285 4.53294i 0.148835 0.370113i
\(151\) −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
\(156\) 2.19531 0.312172i 0.175765 0.0249938i
\(157\) 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
\(159\) −3.49064 + 0.496369i −0.276826 + 0.0393646i
\(160\) 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
\(165\) 2.79286 6.94506i 0.217424 0.540672i
\(166\) 9.14434 + 5.27949i 0.709739 + 0.409768i
\(167\) 7.98750 0.618091 0.309046 0.951047i \(-0.399990\pi\)
0.309046 + 0.951047i \(0.399990\pi\)
\(168\) 6.98634 + 10.6692i 0.539008 + 0.823145i
\(169\) −1.00000 −0.0769231
\(170\) 3.44580 + 1.98943i 0.264281 + 0.152582i
\(171\) −1.52871 5.26652i −0.116903 0.402741i
\(172\) 4.44897 + 7.70583i 0.339230 + 0.587564i
\(173\) −3.79516 + 6.57341i −0.288541 + 0.499767i −0.973462 0.228850i \(-0.926503\pi\)
0.684921 + 0.728617i \(0.259837\pi\)
\(174\) −4.29097 + 3.36372i −0.325297 + 0.255003i
\(175\) 8.76477 + 0.747675i 0.662554 + 0.0565189i
\(176\) 0.298623i 0.0225096i
\(177\) −3.61510 25.4226i −0.271727 1.91088i
\(178\) −2.62846 + 1.51754i −0.197011 + 0.113744i
\(179\) −14.8321 + 8.56329i −1.10860 + 0.640050i −0.938466 0.345371i \(-0.887753\pi\)
−0.170134 + 0.985421i \(0.554420\pi\)
\(180\) −7.99620 7.67173i −0.596002 0.571817i
\(181\) 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
\(186\) −13.2022 5.30909i −0.968036 0.389281i
\(187\) 2.10852 + 1.21736i 0.154190 + 0.0890219i
\(188\) −3.19199 −0.232800
\(189\) −13.5133 2.52802i −0.982948 0.183886i
\(190\) −4.47464 −0.324625
\(191\) 7.47297 + 4.31452i 0.540725 + 0.312188i 0.745373 0.666648i \(-0.232271\pi\)
−0.204648 + 0.978836i \(0.565605\pi\)
\(192\) −7.17822 2.88662i −0.518043 0.208324i
\(193\) 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 \(-0.837288\pi\)
0.872171 0.489202i \(-0.162712\pi\)
\(198\) 2.75103 + 2.63940i 0.195507 + 0.187574i
\(199\) −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
\(201\) −3.51108 24.6911i −0.247652 1.74158i
\(202\) 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
\(207\) −2.03356 7.00578i −0.141342 0.486935i
\(208\) −0.172654 0.0996816i −0.0119714 0.00691168i
\(209\) −2.73808 −0.189397
\(210\) −5.05471 + 10.0142i −0.348808 + 0.691045i
\(211\) −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
\(213\) −6.57615 + 16.3531i −0.450590 + 1.12049i
\(214\) −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
\(219\) 26.9929 3.83839i 1.82401 0.259374i
\(220\) −4.79156 + 2.76641i −0.323047 + 0.186511i
\(221\) −1.40767 + 0.812718i −0.0946900 + 0.0546693i
\(222\) −2.72442 + 0.387412i −0.182851 + 0.0260014i
\(223\) 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 \(-0.973838\pi\)
0.427214 0.904151i \(-0.359495\pi\)
\(228\) −1.51229 + 3.76064i −0.100154 + 0.249054i
\(229\) −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
\(231\) −3.09304 + 6.12780i −0.203507 + 0.403179i
\(232\) 10.3256 0.677911
\(233\) 4.88191 + 2.81857i 0.319825 + 0.184651i 0.651314 0.758808i \(-0.274218\pi\)
−0.331490 + 0.943459i \(0.607551\pi\)
\(234\) −2.44432 + 0.709511i −0.159790 + 0.0463822i
\(235\) −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 \(0.0396456\pi\)
−0.992254 + 0.124229i \(0.960354\pi\)
\(240\) 0.140264 + 0.986383i 0.00905398 + 0.0636708i
\(241\) −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
\(243\) −5.21226 + 14.6912i −0.334366 + 0.942443i
\(244\) 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
\(249\) 20.0000 + 8.04272i 1.26745 + 0.509687i
\(250\) 3.55129 + 2.05034i 0.224603 + 0.129675i
\(251\) −0.186249 −0.0117559 −0.00587795 0.999983i \(-0.501871\pi\)
−0.00587795 + 0.999983i \(0.501871\pi\)
\(252\) 6.70793 + 7.63263i 0.422560 + 0.480810i
\(253\) −3.64233 −0.228991
\(254\) 10.2500 + 5.91782i 0.643140 + 0.371317i
\(255\) 7.53647 + 3.03068i 0.471952 + 0.189789i
\(256\) 7.72490 + 13.3799i 0.482806 + 0.836245i
\(257\) 8.14195 14.1023i 0.507881 0.879676i −0.492077 0.870552i \(-0.663762\pi\)
0.999958 0.00912445i \(-0.00290444\pi\)
\(258\) −6.30108 8.03803i −0.392288 0.500426i
\(259\) −2.10363 4.48583i −0.130713 0.278736i
\(260\) 3.69376i 0.229077i
\(261\) −7.70615 + 8.03208i −0.476999 + 0.497173i
\(262\) 15.8689 9.16192i 0.980385 0.566025i
\(263\) −11.1183 + 6.41917i −0.685585 + 0.395823i −0.801956 0.597383i \(-0.796207\pi\)
0.116371 + 0.993206i \(0.462874\pi\)
\(264\) −1.01647 7.14819i −0.0625595 0.439941i
\(265\) 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 \(-0.977873\pi\)
0.438639 0.898663i \(-0.355461\pi\)
\(270\) 10.3267 + 7.42605i 0.628462 + 0.451935i
\(271\) 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
\(273\) −2.51041 3.83377i −0.151937 0.232031i
\(274\) 3.04910 0.184203
\(275\) −4.31295 2.49008i −0.260081 0.150158i
\(276\) −2.01171 + 5.00258i −0.121091 + 0.301120i
\(277\) 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 \(-0.724477\pi\)
0.648198 0.761472i \(-0.275523\pi\)
\(282\) 3.62740 0.515817i 0.216009 0.0307164i
\(283\) −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
\(285\) −9.04418 + 1.28608i −0.535731 + 0.0761809i
\(286\) 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
\(291\) −0.851012 + 2.11623i −0.0498872 + 0.124056i
\(292\) −17.4521 10.0760i −1.02131 0.589653i
\(293\) −2.79728 −0.163419 −0.0817095 0.996656i \(-0.526038\pi\)
−0.0817095 + 0.996656i \(0.526038\pi\)
\(294\) 5.39883 8.75566i 0.314866 0.510641i
\(295\) −42.7754 −2.49048
\(296\) 4.51329 + 2.60575i 0.262330 + 0.151456i
\(297\) 6.31902 + 4.54409i 0.366666 + 0.263675i
\(298\) −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
\(303\) −2.74691 19.3172i −0.157806 1.10974i
\(304\) 0.315605 0.182215i 0.0181012 0.0104507i
\(305\) 21.0586 12.1582i 1.20581 0.696177i
\(306\) −2.86416 + 2.98530i −0.163733 + 0.170658i
\(307\) 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 \(0.217139\pi\)
0.157899 + 0.987455i \(0.449528\pi\)
\(312\) 4.47214 + 1.79841i 0.253185 + 0.101815i
\(313\) −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
\(315\) −7.33839 + 21.6936i −0.413471 + 1.22229i
\(316\) 11.8336 0.665694
\(317\) −26.0415 15.0351i −1.46264 0.844455i −0.463505 0.886094i \(-0.653409\pi\)
−0.999133 + 0.0416395i \(0.986742\pi\)
\(318\) −2.77527 1.11604i −0.155630 0.0625842i
\(319\) 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
\(324\) 9.73119 6.16912i 0.540622 0.342729i
\(325\) 2.87936 1.66240i 0.159718 0.0922134i
\(326\) 11.2666 6.50480i 0.624002 0.360268i
\(327\) −3.07544 21.6276i −0.170072 1.19601i
\(328\) 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
\(333\) −5.39527 + 1.56608i −0.295659 + 0.0858208i
\(334\) 5.86873 + 3.38831i 0.321122 + 0.185400i
\(335\) −41.5446 −2.26982
\(336\) −0.0512755 0.912157i −0.00279731 0.0497623i
\(337\) −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
\(339\) −2.97254 + 7.39190i −0.161446 + 0.401473i
\(340\) −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
\(345\) −12.0310 + 1.71081i −0.647727 + 0.0921067i
\(346\) −5.57690 + 3.21983i −0.299816 + 0.173099i
\(347\) 28.0438 16.1911i 1.50547 0.869184i 0.505491 0.862832i \(-0.331311\pi\)
0.999980 0.00635188i \(-0.00202188\pi\)
\(348\) 8.14531 1.15826i 0.436635 0.0620894i
\(349\) 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 \(0.0176043\pi\)
−0.451364 + 0.892340i \(0.649062\pi\)
\(354\) 8.12817 20.2125i 0.432008 1.07428i
\(355\) 25.4276 + 14.6806i 1.34956 + 0.779168i
\(356\) 4.57983 0.242730
\(357\) −6.64961 3.35642i −0.351934 0.177641i
\(358\) −14.5303 −0.767948
\(359\) 8.53293 + 4.92649i 0.450351 + 0.260010i 0.707978 0.706234i \(-0.249607\pi\)
−0.257627 + 0.966244i \(0.582941\pi\)
\(360\) −6.71503 23.1338i −0.353913 1.21926i
\(361\) −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
\(366\) 1.74352 + 12.2611i 0.0911355 + 0.640897i
\(367\) −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
\(369\) 18.9094 + 18.1420i 0.984382 + 0.944437i
\(370\) 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
\(375\) 7.76719 + 3.12346i 0.401096 + 0.161295i
\(376\) −6.00917 3.46940i −0.309899 0.178921i
\(377\) −3.71033 −0.191092
\(378\) −8.85636 7.58980i −0.455522 0.390377i
\(379\) 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
\(381\) 22.4182 + 9.01514i 1.14852 + 0.461860i
\(382\) 3.66046 + 6.34010i 0.187285 + 0.324388i
\(383\) 7.94693 13.7645i 0.406069 0.703332i −0.588376 0.808587i \(-0.700233\pi\)
0.994445 + 0.105255i \(0.0335659\pi\)
\(384\) 8.20701 + 10.4693i 0.418812 + 0.534262i
\(385\) 9.38072 + 6.53819i 0.478086 + 0.333217i
\(386\) 8.81091i 0.448463i
\(387\) −15.0461 14.4355i −0.764834 0.733798i
\(388\) 1.46004 0.842954i 0.0741222 0.0427945i
\(389\) 9.74647 5.62713i 0.494166 0.285307i −0.232135 0.972684i \(-0.574571\pi\)
0.726301 + 0.687377i \(0.241238\pi\)
\(390\) 0.596901 + 4.19762i 0.0302253 + 0.212555i
\(391\) 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
\(396\) −1.60367 5.52478i −0.0805877 0.277631i
\(397\) −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
\(399\) 8.36360 0.470147i 0.418704 0.0235368i
\(400\) 0.662844 0.0331422
\(401\) −2.58757 1.49394i −0.129217 0.0746036i 0.433998 0.900914i \(-0.357102\pi\)
−0.563215 + 0.826310i \(0.690436\pi\)
\(402\) 7.89430 19.6310i 0.393732 0.979103i
\(403\) −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
\(408\) 7.75689 1.10303i 0.384023 0.0546081i
\(409\) 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
\(411\) 6.16286 0.876358i 0.303992 0.0432276i
\(412\) 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
\(417\) −5.26136 + 13.0836i −0.257650 + 0.640704i
\(418\) −2.01178 1.16150i −0.0983992 0.0568108i
\(419\) 17.3067 0.845489 0.422745 0.906249i \(-0.361067\pi\)
0.422745 + 0.906249i \(0.361067\pi\)
\(420\) 14.1610 9.27287i 0.690988 0.452470i
\(421\) −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
\(423\) 7.18348 2.08514i 0.349273 0.101383i
\(424\) 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
\(429\) 0.365251 + 2.56857i 0.0176345 + 0.124012i
\(430\) −14.7342 + 8.50681i −0.710548 + 0.410235i
\(431\) 18.7270 10.8120i 0.902048 0.520798i 0.0241841 0.999708i \(-0.492301\pi\)
0.877864 + 0.478910i \(0.158968\pi\)
\(432\) −1.03076 0.103255i −0.0495926 0.00496784i
\(433\) 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
\(438\) 21.4610 + 8.63023i 1.02545 + 0.412368i
\(439\) −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
\(441\) 8.39563 19.2487i 0.399792 0.916606i
\(442\) −1.37903 −0.0655935
\(443\) −12.7360 7.35313i −0.605106 0.349358i 0.165942 0.986136i \(-0.446934\pi\)
−0.771048 + 0.636778i \(0.780267\pi\)
\(444\) 3.85257 + 1.54926i 0.182835 + 0.0735244i
\(445\) 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 \(0.109051\pi\)
−0.941887 + 0.335931i \(0.890949\pi\)
\(450\) 5.85859 6.10638i 0.276177 0.287857i
\(451\) 11.3310 6.54198i 0.533558 0.308050i
\(452\) 5.09985 2.94440i 0.239877 0.138493i
\(453\) −0.387181 2.72279i −0.0181913 0.127928i
\(454\) 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
\(459\) −4.93104 + 6.85711i −0.230161 + 0.320062i
\(460\) 7.77858 + 4.49096i 0.362678 + 0.209392i
\(461\) 33.7358 1.57124 0.785618 0.618712i \(-0.212345\pi\)
0.785618 + 0.618712i \(0.212345\pi\)
\(462\) −4.87200 + 3.19026i −0.226666 + 0.148424i
\(463\) −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
\(465\) −18.0553 + 44.8986i −0.837294 + 2.08212i
\(466\) 2.39129 + 4.14183i 0.110774 + 0.191867i
\(467\) 20.1614 34.9205i 0.932957 1.61593i 0.154721 0.987958i \(-0.450552\pi\)
0.778236 0.627971i \(-0.216115\pi\)
\(468\) 3.72955 + 0.917005i 0.172399 + 0.0423886i
\(469\) 37.9579 + 3.23798i 1.75273 + 0.149516i
\(470\) 6.10336i 0.281527i
\(471\) 22.8604 3.25075i 1.05335 0.149787i
\(472\) −35.7307 + 20.6291i −1.64464 + 0.949533i
\(473\) −9.01604 + 5.20542i −0.414558 + 0.239345i
\(474\) −13.4478 + 1.91228i −0.617680 + 0.0878341i
\(475\) 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 0.656612 0.754229i \(-0.271989\pi\)
−0.981487 + 0.191528i \(0.938656\pi\)
\(480\) −10.6932 + 26.5909i −0.488074 + 1.21370i
\(481\) −1.62177 0.936328i −0.0739463 0.0426929i
\(482\) −12.0127 −0.547164
\(483\) 11.1257 0.625411i 0.506235 0.0284572i
\(484\) 11.2100 0.509544
\(485\) 3.29056 + 1.89980i 0.149417 + 0.0862657i
\(486\) −10.0617 + 8.58318i −0.456408 + 0.389341i
\(487\) 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 \(0.233203\pi\)
−0.743420 + 0.668825i \(0.766797\pi\)
\(492\) −2.72682 19.1759i −0.122934 0.864518i
\(493\) −5.22291 + 3.01545i −0.235228 + 0.135809i
\(494\) 1.34308 0.775428i 0.0604280 0.0348881i
\(495\) 8.97614 9.35579i 0.403448 0.420511i
\(496\) 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
\(501\) 12.8358 + 5.16172i 0.573460 + 0.230609i
\(502\) −0.136844 0.0790070i −0.00610765 0.00352626i
\(503\) −15.9328 −0.710409 −0.355205 0.934789i \(-0.615589\pi\)
−0.355205 + 0.934789i \(0.615589\pi\)
\(504\) 4.33225 + 21.6599i 0.192974 + 0.964810i
\(505\) −32.5026 −1.44635
\(506\) −2.67616 1.54508i −0.118970 0.0686873i
\(507\) −1.60698 0.646225i −0.0713686 0.0286998i
\(508\) −8.92978 15.4668i −0.396195 0.686230i
\(509\) −9.92936 + 17.1981i −0.440111 + 0.762294i −0.997697 0.0678245i \(-0.978394\pi\)
0.557586 + 0.830119i \(0.311728\pi\)
\(510\) 4.25172 + 5.42374i 0.188269 + 0.240167i
\(511\) −3.53984 + 41.4965i −0.156593 + 1.83569i
\(512\) 2.25299i 0.0995689i
\(513\) 0.946746 9.45110i 0.0417998 0.417276i
\(514\) 11.9644 6.90766i 0.527728 0.304684i
\(515\) 17.4346 10.0659i 0.768260 0.443555i
\(516\) 2.16971 + 15.2582i 0.0955162 + 0.671704i
\(517\) 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 0.843363 0.537344i \(-0.180572\pi\)
−0.887035 + 0.461702i \(0.847239\pi\)
\(522\) −9.06923 + 2.63252i −0.396949 + 0.115222i
\(523\) −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
\(525\) 13.6017 + 6.86551i 0.593625 + 0.299635i
\(526\) −10.8921 −0.474918
\(527\) −13.6312 7.86998i −0.593785 0.342822i
\(528\) −0.192978 + 0.479882i −0.00839827 + 0.0208842i
\(529\) −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
\(534\) −5.20455 + 0.740087i −0.225223 + 0.0320267i
\(535\) −3.77440 + 2.17915i −0.163182 + 0.0942130i
\(536\) −34.7027 + 20.0356i −1.49893 + 0.865406i
\(537\) −29.3687 + 4.17622i −1.26735 + 0.180217i
\(538\) 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
\(543\) −9.76499 + 24.2828i −0.419056 + 1.04208i
\(544\) −8.07301 4.66096i −0.346128 0.199837i
\(545\) −36.3899 −1.55877
\(546\) −0.218206 3.88175i −0.00933837 0.166123i
\(547\) 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
\(549\) 7.04805 + 24.2811i 0.300804 + 1.03629i
\(550\) −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
\(555\) 1.31752 + 9.26528i 0.0559257 + 0.393289i
\(556\) 9.02665 5.21154i 0.382815 0.221019i
\(557\) −23.9317 + 13.8170i −1.01402 + 0.585445i −0.912366 0.409375i \(-0.865747\pi\)
−0.101654 + 0.994820i \(0.532413\pi\)
\(558\) −17.7849 17.0632i −0.752896 0.722344i
\(559\) 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 \(0.0521804\pi\)
−0.351965 + 0.936013i \(0.614486\pi\)
\(564\) −5.12947 2.06274i −0.215990 0.0868571i
\(565\) 11.4938 + 6.63593i 0.483546 + 0.279176i
\(566\) −1.82166 −0.0765702
\(567\) −20.0820 12.7951i −0.843363 0.537344i
\(568\) 28.3200 1.18828
\(569\) 32.0864 + 18.5251i 1.34513 + 0.776613i 0.987556 0.157270i \(-0.0502694\pi\)
0.357578 + 0.933883i \(0.383603\pi\)
\(570\) −7.19067 2.89162i −0.301184 0.121117i
\(571\) 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
\(576\) −9.66987 9.27748i −0.402911 0.386562i
\(577\) 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
\(579\) 2.53239 + 17.8087i 0.105243 + 0.740103i
\(580\) 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
\(585\) 2.41292 + 8.31270i 0.0997621 + 0.343688i
\(586\) −2.05527 1.18661i −0.0849026 0.0490185i
\(587\) −11.5337 −0.476049 −0.238024 0.971259i \(-0.576500\pi\)
−0.238024 + 0.971259i \(0.576500\pi\)
\(588\) −13.6612 + 7.36860i −0.563378 + 0.303876i
\(589\) 17.7012 0.729365
\(590\) −31.4287 18.1454i −1.29390 0.747034i
\(591\) 8.87431 22.0680i 0.365040 0.907755i
\(592\) −0.186669 0.323321i −0.00767207 0.0132884i
\(593\) −17.7402 + 30.7269i −0.728503 + 1.26180i 0.229013 + 0.973423i \(0.426450\pi\)
−0.957516 + 0.288380i \(0.906883\pi\)
\(594\) 2.71522 + 6.01926i 0.111407 + 0.246973i
\(595\) −7.09495 + 10.1795i −0.290865 + 0.417320i
\(596\) 16.9509i 0.694335i
\(597\) −30.8529 + 4.38729i −1.26273 + 0.179560i
\(598\) 1.78663 1.03151i 0.0730606 0.0421816i
\(599\) −1.86232 + 1.07521i −0.0760923 + 0.0439319i −0.537563 0.843223i \(-0.680655\pi\)
0.461471 + 0.887155i \(0.347322\pi\)
\(600\) −15.8666 + 2.25623i −0.647751 + 0.0921102i
\(601\) 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
\(606\) 6.17614 15.3584i 0.250888 0.623890i
\(607\) 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
\(609\) −9.31447 14.2246i −0.377441 0.576408i
\(610\) 20.6301 0.835290
\(611\) 2.15929 + 1.24667i 0.0873554 + 0.0504347i
\(612\) 5.99524 1.74023i 0.242343 0.0703448i
\(613\) 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 \(0.453752\pi\)
−0.144781 + 0.989464i \(0.546248\pi\)
\(618\) 1.44348 + 10.1510i 0.0580651 + 0.408334i
\(619\) −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
\(621\) 1.25941 12.5723i 0.0505382 0.504509i
\(622\) 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
\(627\) −4.40005 1.76942i −0.175721 0.0706637i
\(628\) −14.7803 8.53341i −0.589798 0.340520i
\(629\) −3.04388 −0.121368
\(630\) −14.5943 + 12.8261i −0.581449 + 0.511006i
\(631\) −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
\(633\) −14.5469 5.84981i −0.578186 0.232509i
\(634\) −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
\(639\) −21.1355 + 22.0294i −0.836108 + 0.871471i
\(640\) 19.1910 11.0799i 0.758590 0.437972i
\(641\) −39.1882 + 22.6253i −1.54784 + 0.893647i −0.549536 + 0.835470i \(0.685195\pi\)
−0.998306 + 0.0581766i \(0.981471\pi\)
\(642\) −0.312497 2.19759i −0.0123333 0.0867320i
\(643\) 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 0.989924 0.141599i \(-0.0452243\pi\)
−0.617590 + 0.786500i \(0.711891\pi\)
\(648\) 25.0250 1.03695i 0.983075 0.0407353i
\(649\) −19.2316 11.1034i −0.754907 0.435846i
\(650\) 2.82077 0.110640
\(651\) 19.9959 39.6151i 0.783701 1.55264i
\(652\) −19.6310 −0.768810
\(653\) −7.90001 4.56107i −0.309151 0.178489i 0.337395 0.941363i \(-0.390454\pi\)
−0.646547 + 0.762874i \(0.723787\pi\)
\(654\) 6.91481 17.1952i 0.270391 0.672387i
\(655\) −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 \(0.131139\pi\)
−0.916328 + 0.400429i \(0.868861\pi\)
\(660\) −9.48768 + 1.34915i −0.369308 + 0.0525155i
\(661\) 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
\(663\) −2.78730 + 0.396353i −0.108250 + 0.0153931i
\(664\) 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
\(669\) 13.0068 32.3443i 0.502871 1.25050i
\(670\) −30.5245 17.6233i −1.17926 0.680847i
\(671\) 12.6238 0.487337
\(672\) 11.8425 23.4618i 0.456833 0.905059i
\(673\) 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
\(675\) 10.0864 14.0261i 0.388224 0.539865i
\(676\) 0.640106 + 1.10870i 0.0246194 + 0.0426421i
\(677\) 1.49996 2.59801i 0.0576482 0.0998497i −0.835761 0.549093i \(-0.814973\pi\)
0.893409 + 0.449244i \(0.148306\pi\)
\(678\) −5.31970 + 4.17016i −0.204302 + 0.160154i
\(679\) −2.85840 1.99225i −0.109695 0.0764557i
\(680\) 13.0515i 0.500503i
\(681\) −4.18390 29.4227i −0.160327 1.12748i
\(682\) −10.6573 + 6.15297i −0.408087 + 0.235609i
\(683\) −2.36000 + 1.36255i −0.0903029 + 0.0521364i −0.544471 0.838779i \(-0.683270\pi\)
0.454169 + 0.890916i \(0.349936\pi\)
\(684\) −4.86043 + 5.06600i −0.185843 + 0.193704i
\(685\) 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
\(690\) −9.56537 3.84657i −0.364147 0.146437i
\(691\) 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
\(693\) −8.93039 + 7.84847i −0.339237 + 0.298139i
\(694\) 27.4732 1.04287
\(695\) 20.3438 + 11.7455i 0.771684 + 0.445532i
\(696\) 16.5931 + 6.67268i 0.628961 + 0.252927i
\(697\) 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 \(-0.573466\pi\)
0.228757 0.973484i \(-0.426534\pi\)
\(702\) −4.38648 0.439407i −0.165557 0.0165844i
\(703\) 2.96454 1.71158i 0.111810 0.0645534i
\(704\) −5.79447 + 3.34544i −0.218387 + 0.126086i
\(705\) −1.75420 12.3362i −0.0660671 0.464607i
\(706\) 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
\(711\) −26.6313 + 7.73024i −0.998751 + 0.289907i
\(712\) 8.62189 + 4.97785i 0.323119 + 0.186553i
\(713\) 23.5470 0.881841
\(714\) −3.46193 5.28687i −0.129559 0.197856i
\(715\) 4.32180 0.161626
\(716\) 18.9882 + 10.9628i 0.709621 + 0.409700i
\(717\) −2.48219 + 6.17251i −0.0926989 + 0.230517i
\(718\) 4.17965 + 7.23937i 0.155983 + 0.270171i
\(719\) 4.89105 8.47154i 0.182405 0.315935i −0.760294 0.649579i \(-0.774945\pi\)
0.942699 + 0.333644i \(0.108278\pi\)
\(720\) −0.412024 + 1.67574i −0.0153552 + 0.0624512i
\(721\) −16.7139 + 7.83799i −0.622459 + 0.291902i
\(722\) 13.2848i 0.494407i
\(723\) −24.2802 + 3.45264i −0.902990 + 0.128405i
\(724\) 16.7533 9.67253i 0.622632 0.359477i
\(725\) 10.6834 6.16806i 0.396771 0.229076i
\(726\) −12.7391 + 1.81150i −0.472793 + 0.0672311i
\(727\) 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
\(732\) 6.97233 17.3383i 0.257705 0.640841i
\(733\) 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
\(735\) −29.7765 18.3605i −1.09832 0.677236i
\(736\) 13.9456 0.514041
\(737\) −18.6783 10.7839i −0.688023 0.397230i
\(738\) 6.19756 + 21.3511i 0.228135 + 0.785943i
\(739\) 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 \(0.0354672\pi\)
−0.993799 + 0.111193i \(0.964533\pi\)
\(744\) 6.57130 + 46.2117i 0.240916 + 1.69420i
\(745\) −33.0848 + 19.1015i −1.21213 + 0.699825i
\(746\) −16.4582 + 9.50216i −0.602579 + 0.347899i
\(747\) 26.9423 + 25.8490i 0.985767 + 0.945766i
\(748\) 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
\(753\) −0.299298 0.120358i −0.0109070 0.00438611i
\(754\) −2.72612 1.57393i −0.0992796 0.0573191i
\(755\) −4.58129 −0.166730
\(756\) 5.84714 + 16.6003i 0.212658 + 0.603748i
\(757\) −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
\(759\) −5.85316 2.35376i −0.212456 0.0854361i
\(760\) 7.33888 + 12.7113i 0.266209 + 0.461088i
\(761\) −16.9321 + 29.3272i −0.613786 + 1.06311i 0.376810 + 0.926291i \(0.377021\pi\)
−0.990596 + 0.136819i \(0.956312\pi\)
\(762\) 12.6473 + 16.1336i 0.458162 + 0.584459i
\(763\) 33.2483 + 2.83623i 1.20367 + 0.102678i
\(764\) 11.0470i 0.399666i
\(765\) 10.1525 + 9.74050i 0.367063 + 0.352169i
\(766\) 11.6778 6.74220i 0.421937 0.243606i
\(767\) 12.8392 7.41271i 0.463596 0.267657i
\(768\) 3.76735 + 26.4933i 0.135942 + 0.955995i
\(769\) 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 \(-0.963147\pi\)
0.396611 0.917987i \(-0.370186\pi\)
\(774\) −4.93136 16.9889i −0.177254 0.610653i
\(775\) 27.8824 + 16.0979i 1.00157 + 0.578255i