Properties

Label 731.2.n.a.208.1
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.n (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(64\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 208.1
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.64

$q$-expansion

\(f(q)\) \(=\) \(q-2.76205i q^{2} +(1.78973 + 0.479556i) q^{3} -5.62893 q^{4} +(-4.22937 - 1.13326i) q^{5} +(1.32456 - 4.94332i) q^{6} +(-0.560575 + 0.150206i) q^{7} +10.0233i q^{8} +(0.375075 + 0.216550i) q^{9} +O(q^{10})\) \(q-2.76205i q^{2} +(1.78973 + 0.479556i) q^{3} -5.62893 q^{4} +(-4.22937 - 1.13326i) q^{5} +(1.32456 - 4.94332i) q^{6} +(-0.560575 + 0.150206i) q^{7} +10.0233i q^{8} +(0.375075 + 0.216550i) q^{9} +(-3.13011 + 11.6817i) q^{10} +(0.496365 + 0.496365i) q^{11} +(-10.0742 - 2.69939i) q^{12} +(1.00946 - 1.74844i) q^{13} +(0.414876 + 1.54834i) q^{14} +(-7.02596 - 4.05644i) q^{15} +16.4270 q^{16} +(4.04096 + 0.818933i) q^{17} +(0.598121 - 1.03598i) q^{18} +(-2.90471 + 1.67703i) q^{19} +(23.8068 + 6.37902i) q^{20} -1.07531 q^{21} +(1.37098 - 1.37098i) q^{22} +(-2.15954 + 8.05951i) q^{23} +(-4.80673 + 17.9390i) q^{24} +(12.2732 + 7.08592i) q^{25} +(-4.82929 - 2.78819i) q^{26} +(-3.36308 - 3.36308i) q^{27} +(3.15544 - 0.845497i) q^{28} +(1.14362 + 4.26803i) q^{29} +(-11.2041 + 19.4061i) q^{30} +(-6.88080 - 1.84370i) q^{31} -25.3256i q^{32} +(0.650323 + 1.12639i) q^{33} +(2.26194 - 11.1613i) q^{34} +2.54110 q^{35} +(-2.11127 - 1.21894i) q^{36} +(-1.64735 - 0.441407i) q^{37} +(4.63205 + 8.02295i) q^{38} +(2.64514 - 2.64514i) q^{39} +(11.3590 - 42.3922i) q^{40} +(-0.356059 - 0.356059i) q^{41} +2.97006i q^{42} +(-6.31083 - 1.78140i) q^{43} +(-2.79400 - 2.79400i) q^{44} +(-1.34093 - 1.34093i) q^{45} +(22.2608 + 5.96476i) q^{46} -4.18728 q^{47} +(29.3998 + 7.87766i) q^{48} +(-5.77049 + 3.33160i) q^{49} +(19.5717 - 33.8991i) q^{50} +(6.83949 + 3.40353i) q^{51} +(-5.68220 + 9.84186i) q^{52} +(-9.50586 + 5.48821i) q^{53} +(-9.28900 + 9.28900i) q^{54} +(-1.53680 - 2.66182i) q^{55} +(-1.50555 - 5.61881i) q^{56} +(-6.00286 + 1.60846i) q^{57} +(11.7885 - 3.15873i) q^{58} +1.07985i q^{59} +(39.5486 + 22.8334i) q^{60} +(2.50389 - 0.670916i) q^{61} +(-5.09241 + 19.0051i) q^{62} +(-0.242785 - 0.0650540i) q^{63} -37.0966 q^{64} +(-6.25083 + 6.25083i) q^{65} +(3.11115 - 1.79623i) q^{66} +(0.209665 + 0.363151i) q^{67} +(-22.7463 - 4.60972i) q^{68} +(-7.72998 + 13.3887i) q^{69} -7.01865i q^{70} +(0.789135 + 2.94509i) q^{71} +(-2.17054 + 3.75949i) q^{72} +(-1.73281 - 6.46694i) q^{73} +(-1.21919 + 4.55008i) q^{74} +(18.5675 + 18.5675i) q^{75} +(16.3504 - 9.43990i) q^{76} +(-0.352807 - 0.203693i) q^{77} +(-7.30602 - 7.30602i) q^{78} +(-3.67596 + 0.984972i) q^{79} +(-69.4758 - 18.6160i) q^{80} +(-5.05586 - 8.75701i) q^{81} +(-0.983454 + 0.983454i) q^{82} +(5.82836 - 3.36501i) q^{83} +6.05284 q^{84} +(-16.1627 - 8.04301i) q^{85} +(-4.92033 + 17.4308i) q^{86} +8.18705i q^{87} +(-4.97521 + 4.97521i) q^{88} +(-0.955193 - 1.65444i) q^{89} +(-3.70370 + 3.70370i) q^{90} +(-0.303254 + 1.13176i) q^{91} +(12.1559 - 45.3664i) q^{92} +(-11.4306 - 6.59946i) q^{93} +11.5655i q^{94} +(14.1856 - 3.80102i) q^{95} +(12.1450 - 45.3259i) q^{96} +(-0.957261 + 0.957261i) q^{97} +(9.20204 + 15.9384i) q^{98} +(0.0786864 + 0.293662i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + O(q^{10}) \) \( 256q - 6q^{3} - 264q^{4} + 2q^{5} - 2q^{6} + 2q^{10} + 4q^{11} + 8q^{12} - 8q^{13} - 6q^{14} + 248q^{16} - 2q^{17} + 16q^{18} - 14q^{20} - 16q^{21} - 4q^{22} + 8q^{23} + 12q^{24} - 12q^{27} - 14q^{28} + 2q^{29} + 8q^{30} - 24q^{31} + 20q^{33} + 16q^{34} + 40q^{35} + 18q^{37} + 8q^{38} + 36q^{39} - 10q^{40} + 8q^{41} - 80q^{44} - 4q^{45} + 2q^{46} + 24q^{47} + 24q^{48} + 92q^{50} - 20q^{51} + 4q^{52} - 88q^{54} - 80q^{55} + 60q^{56} - 44q^{57} + 34q^{58} - 8q^{61} + 24q^{62} - 26q^{63} - 200q^{64} - 8q^{65} + 44q^{67} - 58q^{68} + 40q^{69} - 26q^{71} - 48q^{72} + 36q^{73} + 90q^{74} - 156q^{75} - 24q^{78} + 22q^{79} + 30q^{80} + 132q^{81} + 156q^{82} - 160q^{84} - 28q^{85} + 52q^{86} + 28q^{88} - 20q^{89} + 28q^{90} + 34q^{91} - 70q^{92} + 40q^{95} - 16q^{96} - 92q^{98} + 30q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.76205i 1.95307i −0.215369 0.976533i \(-0.569096\pi\)
0.215369 0.976533i \(-0.430904\pi\)
\(3\) 1.78973 + 0.479556i 1.03330 + 0.276872i 0.735334 0.677705i \(-0.237025\pi\)
0.297966 + 0.954577i \(0.403692\pi\)
\(4\) −5.62893 −2.81446
\(5\) −4.22937 1.13326i −1.89143 0.506808i −0.998383 0.0568483i \(-0.981895\pi\)
−0.893049 0.449959i \(-0.851438\pi\)
\(6\) 1.32456 4.94332i 0.540749 2.01810i
\(7\) −0.560575 + 0.150206i −0.211878 + 0.0567724i −0.363196 0.931713i \(-0.618315\pi\)
0.151319 + 0.988485i \(0.451648\pi\)
\(8\) 10.0233i 3.54377i
\(9\) 0.375075 + 0.216550i 0.125025 + 0.0721832i
\(10\) −3.13011 + 11.6817i −0.989828 + 3.69409i
\(11\) 0.496365 + 0.496365i 0.149660 + 0.149660i 0.777966 0.628306i \(-0.216252\pi\)
−0.628306 + 0.777966i \(0.716252\pi\)
\(12\) −10.0742 2.69939i −2.90819 0.779246i
\(13\) 1.00946 1.74844i 0.279975 0.484931i −0.691403 0.722469i \(-0.743007\pi\)
0.971378 + 0.237538i \(0.0763405\pi\)
\(14\) 0.414876 + 1.54834i 0.110880 + 0.413811i
\(15\) −7.02596 4.05644i −1.81410 1.04737i
\(16\) 16.4270 4.10674
\(17\) 4.04096 + 0.818933i 0.980076 + 0.198620i
\(18\) 0.598121 1.03598i 0.140979 0.244182i
\(19\) −2.90471 + 1.67703i −0.666385 + 0.384738i −0.794706 0.606995i \(-0.792375\pi\)
0.128320 + 0.991733i \(0.459041\pi\)
\(20\) 23.8068 + 6.37902i 5.32337 + 1.42639i
\(21\) −1.07531 −0.234652
\(22\) 1.37098 1.37098i 0.292295 0.292295i
\(23\) −2.15954 + 8.05951i −0.450295 + 1.68052i 0.251269 + 0.967917i \(0.419152\pi\)
−0.701564 + 0.712607i \(0.747514\pi\)
\(24\) −4.80673 + 17.9390i −0.981169 + 3.66177i
\(25\) 12.2732 + 7.08592i 2.45464 + 1.41718i
\(26\) −4.82929 2.78819i −0.947101 0.546809i
\(27\) −3.36308 3.36308i −0.647225 0.647225i
\(28\) 3.15544 0.845497i 0.596322 0.159784i
\(29\) 1.14362 + 4.26803i 0.212364 + 0.792554i 0.987078 + 0.160242i \(0.0512274\pi\)
−0.774714 + 0.632312i \(0.782106\pi\)
\(30\) −11.2041 + 19.4061i −2.04558 + 3.54305i
\(31\) −6.88080 1.84370i −1.23583 0.331139i −0.418982 0.907995i \(-0.637613\pi\)
−0.816846 + 0.576856i \(0.804279\pi\)
\(32\) 25.3256i 4.47697i
\(33\) 0.650323 + 1.12639i 0.113207 + 0.196080i
\(34\) 2.26194 11.1613i 0.387919 1.91415i
\(35\) 2.54110 0.429525
\(36\) −2.11127 1.21894i −0.351878 0.203157i
\(37\) −1.64735 0.441407i −0.270823 0.0725669i 0.120852 0.992671i \(-0.461438\pi\)
−0.391675 + 0.920104i \(0.628104\pi\)
\(38\) 4.63205 + 8.02295i 0.751418 + 1.30149i
\(39\) 2.64514 2.64514i 0.423562 0.423562i
\(40\) 11.3590 42.3922i 1.79601 6.70279i
\(41\) −0.356059 0.356059i −0.0556071 0.0556071i 0.678756 0.734364i \(-0.262519\pi\)
−0.734364 + 0.678756i \(0.762519\pi\)
\(42\) 2.97006i 0.458290i
\(43\) −6.31083 1.78140i −0.962393 0.271662i
\(44\) −2.79400 2.79400i −0.421212 0.421212i
\(45\) −1.34093 1.34093i −0.199893 0.199893i
\(46\) 22.2608 + 5.96476i 3.28217 + 0.879456i
\(47\) −4.18728 −0.610778 −0.305389 0.952228i \(-0.598786\pi\)
−0.305389 + 0.952228i \(0.598786\pi\)
\(48\) 29.3998 + 7.87766i 4.24350 + 1.13704i
\(49\) −5.77049 + 3.33160i −0.824356 + 0.475942i
\(50\) 19.5717 33.8991i 2.76785 4.79406i
\(51\) 6.83949 + 3.40353i 0.957720 + 0.476590i
\(52\) −5.68220 + 9.84186i −0.787979 + 1.36482i
\(53\) −9.50586 + 5.48821i −1.30573 + 0.753864i −0.981381 0.192074i \(-0.938479\pi\)
−0.324350 + 0.945937i \(0.605145\pi\)
\(54\) −9.28900 + 9.28900i −1.26407 + 1.26407i
\(55\) −1.53680 2.66182i −0.207222 0.358920i
\(56\) −1.50555 5.61881i −0.201188 0.750845i
\(57\) −6.00286 + 1.60846i −0.795099 + 0.213046i
\(58\) 11.7885 3.15873i 1.54791 0.414761i
\(59\) 1.07985i 0.140585i 0.997526 + 0.0702923i \(0.0223932\pi\)
−0.997526 + 0.0702923i \(0.977607\pi\)
\(60\) 39.5486 + 22.8334i 5.10571 + 2.94778i
\(61\) 2.50389 0.670916i 0.320591 0.0859020i −0.0949350 0.995483i \(-0.530264\pi\)
0.415526 + 0.909581i \(0.363598\pi\)
\(62\) −5.09241 + 19.0051i −0.646736 + 2.41365i
\(63\) −0.242785 0.0650540i −0.0305880 0.00819603i
\(64\) −37.0966 −4.63708
\(65\) −6.25083 + 6.25083i −0.775320 + 0.775320i
\(66\) 3.11115 1.79623i 0.382957 0.221100i
\(67\) 0.209665 + 0.363151i 0.0256147 + 0.0443659i 0.878549 0.477653i \(-0.158512\pi\)
−0.852934 + 0.522019i \(0.825179\pi\)
\(68\) −22.7463 4.60972i −2.75839 0.559010i
\(69\) −7.72998 + 13.3887i −0.930580 + 1.61181i
\(70\) 7.01865i 0.838890i
\(71\) 0.789135 + 2.94509i 0.0936531 + 0.349518i 0.996812 0.0797888i \(-0.0254246\pi\)
−0.903159 + 0.429307i \(0.858758\pi\)
\(72\) −2.17054 + 3.75949i −0.255801 + 0.443060i
\(73\) −1.73281 6.46694i −0.202810 0.756898i −0.990106 0.140323i \(-0.955186\pi\)
0.787296 0.616576i \(-0.211481\pi\)
\(74\) −1.21919 + 4.55008i −0.141728 + 0.528936i
\(75\) 18.5675 + 18.5675i 2.14400 + 2.14400i
\(76\) 16.3504 9.43990i 1.87552 1.08283i
\(77\) −0.352807 0.203693i −0.0402060 0.0232130i
\(78\) −7.30602 7.30602i −0.827244 0.827244i
\(79\) −3.67596 + 0.984972i −0.413578 + 0.110818i −0.459608 0.888122i \(-0.652010\pi\)
0.0460293 + 0.998940i \(0.485343\pi\)
\(80\) −69.4758 18.6160i −7.76763 2.08133i
\(81\) −5.05586 8.75701i −0.561762 0.973001i
\(82\) −0.983454 + 0.983454i −0.108604 + 0.108604i
\(83\) 5.82836 3.36501i 0.639746 0.369357i −0.144771 0.989465i \(-0.546245\pi\)
0.784517 + 0.620108i \(0.212911\pi\)
\(84\) 6.05284 0.660419
\(85\) −16.1627 8.04301i −1.75309 0.872387i
\(86\) −4.92033 + 17.4308i −0.530573 + 1.87962i
\(87\) 8.18705i 0.877743i
\(88\) −4.97521 + 4.97521i −0.530359 + 0.530359i
\(89\) −0.955193 1.65444i −0.101250 0.175371i 0.810950 0.585116i \(-0.198951\pi\)
−0.912200 + 0.409745i \(0.865618\pi\)
\(90\) −3.70370 + 3.70370i −0.390405 + 0.390405i
\(91\) −0.303254 + 1.13176i −0.0317897 + 0.118641i
\(92\) 12.1559 45.3664i 1.26734 4.72978i
\(93\) −11.4306 6.59946i −1.18530 0.684332i
\(94\) 11.5655i 1.19289i
\(95\) 14.1856 3.80102i 1.45541 0.389976i
\(96\) 12.1450 45.3259i 1.23955 4.62606i
\(97\) −0.957261 + 0.957261i −0.0971952 + 0.0971952i −0.754032 0.656837i \(-0.771894\pi\)
0.656837 + 0.754032i \(0.271894\pi\)
\(98\) 9.20204 + 15.9384i 0.929547 + 1.61002i
\(99\) 0.0786864 + 0.293662i 0.00790828 + 0.0295141i
\(100\) −69.0848 39.8861i −6.90848 3.98861i
\(101\) −7.83225 + 13.5659i −0.779338 + 1.34985i 0.152986 + 0.988228i \(0.451111\pi\)
−0.932324 + 0.361624i \(0.882222\pi\)
\(102\) 9.40074 18.8910i 0.930811 1.87049i
\(103\) 5.29712 9.17488i 0.521940 0.904027i −0.477734 0.878505i \(-0.658542\pi\)
0.999674 0.0255227i \(-0.00812500\pi\)
\(104\) 17.5251 + 10.1181i 1.71848 + 0.992166i
\(105\) 4.54788 + 1.21860i 0.443828 + 0.118923i
\(106\) 15.1587 + 26.2557i 1.47234 + 2.55018i
\(107\) −2.54379 + 2.54379i −0.245918 + 0.245918i −0.819293 0.573375i \(-0.805634\pi\)
0.573375 + 0.819293i \(0.305634\pi\)
\(108\) 18.9305 + 18.9305i 1.82159 + 1.82159i
\(109\) −1.35234 + 5.04699i −0.129530 + 0.483414i −0.999961 0.00887771i \(-0.997174\pi\)
0.870430 + 0.492292i \(0.163841\pi\)
\(110\) −7.35208 + 4.24473i −0.700993 + 0.404719i
\(111\) −2.73663 1.58000i −0.259750 0.149967i
\(112\) −9.20856 + 2.46743i −0.870127 + 0.233150i
\(113\) 1.86936 + 1.86936i 0.175854 + 0.175854i 0.789546 0.613692i \(-0.210316\pi\)
−0.613692 + 0.789546i \(0.710316\pi\)
\(114\) 4.44266 + 16.5802i 0.416093 + 1.55288i
\(115\) 18.2670 31.6393i 1.70341 2.95038i
\(116\) −6.43733 24.0245i −0.597691 2.23061i
\(117\) 0.757250 0.437198i 0.0700077 0.0404190i
\(118\) 2.98260 0.274571
\(119\) −2.38827 + 0.147901i −0.218932 + 0.0135581i
\(120\) 40.6589 70.4232i 3.71163 6.42873i
\(121\) 10.5072i 0.955204i
\(122\) −1.85310 6.91588i −0.167772 0.626134i
\(123\) −0.466499 0.808000i −0.0420628 0.0728549i
\(124\) 38.7315 + 10.3781i 3.47819 + 0.931979i
\(125\) −28.3971 28.3971i −2.53991 2.53991i
\(126\) −0.179682 + 0.670584i −0.0160074 + 0.0597404i
\(127\) 16.0572i 1.42484i −0.701752 0.712421i \(-0.747599\pi\)
0.701752 0.712421i \(-0.252401\pi\)
\(128\) 51.8116i 4.57954i
\(129\) −10.4404 6.21463i −0.919225 0.547167i
\(130\) 17.2651 + 17.2651i 1.51425 + 1.51425i
\(131\) −11.6080 + 11.6080i −1.01420 + 1.01420i −0.0142999 + 0.999898i \(0.504552\pi\)
−0.999898 + 0.0142999i \(0.995448\pi\)
\(132\) −3.66062 6.34038i −0.318616 0.551859i
\(133\) 1.37641 1.37641i 0.119350 0.119350i
\(134\) 1.00304 0.579106i 0.0866496 0.0500271i
\(135\) 10.4125 + 18.0349i 0.896164 + 1.55220i
\(136\) −8.20840 + 40.5037i −0.703865 + 3.47316i
\(137\) 21.1612 1.80792 0.903960 0.427617i \(-0.140647\pi\)
0.903960 + 0.427617i \(0.140647\pi\)
\(138\) 36.9803 + 21.3506i 3.14797 + 1.81748i
\(139\) −7.00081 1.87586i −0.593801 0.159109i −0.0506113 0.998718i \(-0.516117\pi\)
−0.543190 + 0.839610i \(0.682784\pi\)
\(140\) −14.3037 −1.20888
\(141\) −7.49410 2.00804i −0.631117 0.169107i
\(142\) 8.13449 2.17963i 0.682631 0.182911i
\(143\) 1.36893 0.366803i 0.114475 0.0306736i
\(144\) 6.16135 + 3.55726i 0.513446 + 0.296438i
\(145\) 19.3471i 1.60669i
\(146\) −17.8620 + 4.78612i −1.47827 + 0.396102i
\(147\) −11.9253 + 3.19538i −0.983582 + 0.263550i
\(148\) 9.27284 + 2.48465i 0.762222 + 0.204237i
\(149\) −4.81319 8.33670i −0.394312 0.682969i 0.598701 0.800973i \(-0.295684\pi\)
−0.993013 + 0.118004i \(0.962350\pi\)
\(150\) 51.2845 51.2845i 4.18736 4.18736i
\(151\) 13.5649i 1.10390i −0.833878 0.551949i \(-0.813884\pi\)
0.833878 0.551949i \(-0.186116\pi\)
\(152\) −16.8094 29.1147i −1.36342 2.36151i
\(153\) 1.33832 + 1.18223i 0.108197 + 0.0955776i
\(154\) −0.562610 + 0.974470i −0.0453364 + 0.0785250i
\(155\) 27.0121 + 15.5954i 2.16966 + 1.25265i
\(156\) −14.8893 + 14.8893i −1.19210 + 1.19210i
\(157\) −1.83563 + 3.17941i −0.146499 + 0.253744i −0.929931 0.367733i \(-0.880134\pi\)
0.783432 + 0.621477i \(0.213467\pi\)
\(158\) 2.72054 + 10.1532i 0.216435 + 0.807745i
\(159\) −19.6448 + 5.26381i −1.55793 + 0.417447i
\(160\) −28.7004 + 107.111i −2.26896 + 8.46789i
\(161\) 4.84234i 0.381630i
\(162\) −24.1873 + 13.9646i −1.90033 + 1.09716i
\(163\) 15.1998 4.07279i 1.19054 0.319005i 0.391443 0.920202i \(-0.371976\pi\)
0.799101 + 0.601197i \(0.205309\pi\)
\(164\) 2.00423 + 2.00423i 0.156504 + 0.156504i
\(165\) −1.47397 5.50091i −0.114748 0.428246i
\(166\) −9.29432 16.0982i −0.721379 1.24947i
\(167\) −7.44230 1.99416i −0.575902 0.154313i −0.0409001 0.999163i \(-0.513023\pi\)
−0.535002 + 0.844851i \(0.679689\pi\)
\(168\) 10.7781i 0.831551i
\(169\) 4.46197 + 7.72835i 0.343228 + 0.594489i
\(170\) −22.2152 + 44.6421i −1.70383 + 3.42389i
\(171\) −1.45264 −0.111086
\(172\) 35.5232 + 10.0274i 2.70862 + 0.764582i
\(173\) −7.12370 + 7.12370i −0.541605 + 0.541605i −0.923999 0.382394i \(-0.875100\pi\)
0.382394 + 0.923999i \(0.375100\pi\)
\(174\) 22.6130 1.71429
\(175\) −7.94438 2.12869i −0.600539 0.160914i
\(176\) 8.15377 + 8.15377i 0.614614 + 0.614614i
\(177\) −0.517849 + 1.93264i −0.0389239 + 0.145266i
\(178\) −4.56965 + 2.63829i −0.342510 + 0.197748i
\(179\) 0.369129 + 0.213117i 0.0275900 + 0.0159291i 0.513732 0.857951i \(-0.328263\pi\)
−0.486142 + 0.873880i \(0.661596\pi\)
\(180\) 7.54797 + 7.54797i 0.562593 + 0.562593i
\(181\) −11.4788 + 3.07573i −0.853212 + 0.228618i −0.658815 0.752305i \(-0.728942\pi\)
−0.194398 + 0.980923i \(0.562275\pi\)
\(182\) 3.12598 + 0.837604i 0.231713 + 0.0620874i
\(183\) 4.80303 0.355050
\(184\) −80.7828 21.6457i −5.95539 1.59574i
\(185\) 6.46704 + 3.73375i 0.475466 + 0.274511i
\(186\) −18.2280 + 31.5719i −1.33654 + 2.31496i
\(187\) 1.59930 + 2.41228i 0.116952 + 0.176403i
\(188\) 23.5699 1.71901
\(189\) 2.39041 + 1.38011i 0.173877 + 0.100388i
\(190\) −10.4986 39.1813i −0.761649 2.84251i
\(191\) 8.54645 + 14.8029i 0.618399 + 1.07110i 0.989778 + 0.142618i \(0.0455519\pi\)
−0.371379 + 0.928482i \(0.621115\pi\)
\(192\) −66.3928 17.7899i −4.79149 1.28388i
\(193\) 16.2741 + 16.2741i 1.17144 + 1.17144i 0.981867 + 0.189572i \(0.0607101\pi\)
0.189572 + 0.981867i \(0.439290\pi\)
\(194\) 2.64400 + 2.64400i 0.189828 + 0.189828i
\(195\) −14.1849 + 8.18966i −1.01580 + 0.586474i
\(196\) 32.4817 18.7533i 2.32012 1.33952i
\(197\) −13.4732 + 3.61014i −0.959928 + 0.257212i −0.704570 0.709635i \(-0.748860\pi\)
−0.255358 + 0.966847i \(0.582193\pi\)
\(198\) 0.811109 0.217336i 0.0576430 0.0154454i
\(199\) −0.0456346 + 0.0456346i −0.00323495 + 0.00323495i −0.708722 0.705487i \(-0.750728\pi\)
0.705487 + 0.708722i \(0.250728\pi\)
\(200\) −71.0242 + 123.018i −5.02217 + 8.69866i
\(201\) 0.201092 + 0.750487i 0.0141840 + 0.0529353i
\(202\) 37.4696 + 21.6331i 2.63635 + 1.52210i
\(203\) −1.28217 2.22078i −0.0899904 0.155868i
\(204\) −38.4990 19.1582i −2.69547 1.34135i
\(205\) 1.10240 + 1.90941i 0.0769950 + 0.133359i
\(206\) −25.3415 14.6309i −1.76562 1.01938i
\(207\) −2.55527 + 2.55527i −0.177604 + 0.177604i
\(208\) 16.5824 28.7216i 1.14979 1.99149i
\(209\) −2.27421 0.609374i −0.157311 0.0421513i
\(210\) 3.36584 12.5615i 0.232265 0.866824i
\(211\) 1.73492 + 1.73492i 0.119437 + 0.119437i 0.764299 0.644862i \(-0.223085\pi\)
−0.644862 + 0.764299i \(0.723085\pi\)
\(212\) 53.5078 30.8927i 3.67493 2.12172i
\(213\) 5.64935i 0.387087i
\(214\) 7.02609 + 7.02609i 0.480293 + 0.480293i
\(215\) 24.6721 + 14.6860i 1.68262 + 1.00158i
\(216\) 33.7091 33.7091i 2.29362 2.29362i
\(217\) 4.13414 0.280644
\(218\) 13.9401 + 3.73523i 0.944140 + 0.252981i
\(219\) 12.4050i 0.838255i
\(220\) 8.65055 + 14.9832i 0.583220 + 1.01017i
\(221\) 5.51106 6.23870i 0.370714 0.419660i
\(222\) −4.36403 + 7.55873i −0.292895 + 0.507309i
\(223\) 15.8860i 1.06380i −0.846806 0.531902i \(-0.821478\pi\)
0.846806 0.531902i \(-0.178522\pi\)
\(224\) 3.80405 + 14.1969i 0.254169 + 0.948570i
\(225\) 3.06891 + 5.31551i 0.204594 + 0.354367i
\(226\) 5.16326 5.16326i 0.343455 0.343455i
\(227\) −0.150874 + 0.563070i −0.0100139 + 0.0373723i −0.970752 0.240084i \(-0.922825\pi\)
0.960738 + 0.277457i \(0.0894915\pi\)
\(228\) 33.7897 9.05392i 2.23778 0.599611i
\(229\) 12.7095 + 7.33786i 0.839870 + 0.484899i 0.857220 0.514950i \(-0.172190\pi\)
−0.0173498 + 0.999849i \(0.505523\pi\)
\(230\) −87.3895 50.4544i −5.76229 3.32686i
\(231\) −0.533745 0.533745i −0.0351179 0.0351179i
\(232\) −42.7797 + 11.4628i −2.80863 + 0.752569i
\(233\) 3.88891 + 14.5136i 0.254771 + 0.950819i 0.968218 + 0.250109i \(0.0804664\pi\)
−0.713447 + 0.700710i \(0.752867\pi\)
\(234\) −1.20756 2.09156i −0.0789409 0.136730i
\(235\) 17.7096 + 4.74526i 1.15524 + 0.309547i
\(236\) 6.07840i 0.395670i
\(237\) −7.05132 −0.458033
\(238\) 0.408511 + 6.59652i 0.0264799 + 0.427589i
\(239\) −7.96795 13.8009i −0.515404 0.892706i −0.999840 0.0178794i \(-0.994309\pi\)
0.484436 0.874827i \(-0.339025\pi\)
\(240\) −115.415 66.6351i −7.45003 4.30127i
\(241\) 2.61832 + 9.77169i 0.168661 + 0.629450i 0.997545 + 0.0700297i \(0.0223094\pi\)
−0.828884 + 0.559420i \(0.811024\pi\)
\(242\) −29.0215 −1.86558
\(243\) −1.15622 4.31507i −0.0741716 0.276812i
\(244\) −14.0942 + 3.77654i −0.902291 + 0.241768i
\(245\) 28.1811 7.55111i 1.80043 0.482422i
\(246\) −2.23174 + 1.28849i −0.142290 + 0.0821514i
\(247\) 6.77162i 0.430868i
\(248\) 18.4800 68.9682i 1.17348 4.37949i
\(249\) 12.0449 3.22742i 0.763314 0.204529i
\(250\) −78.4342 + 78.4342i −4.96061 + 4.96061i
\(251\) 10.9325 18.9357i 0.690054 1.19521i −0.281765 0.959483i \(-0.590920\pi\)
0.971820 0.235726i \(-0.0757467\pi\)
\(252\) 1.36662 + 0.366184i 0.0860889 + 0.0230674i
\(253\) −5.07238 + 2.92854i −0.318898 + 0.184116i
\(254\) −44.3507 −2.78281
\(255\) −25.0697 22.1457i −1.56992 1.38682i
\(256\) 68.9131 4.30707
\(257\) 7.66955i 0.478413i 0.970969 + 0.239207i \(0.0768873\pi\)
−0.970969 + 0.239207i \(0.923113\pi\)
\(258\) −17.1651 + 28.8369i −1.06865 + 1.79531i
\(259\) 0.989768 0.0615012
\(260\) 35.1855 35.1855i 2.18211 2.18211i
\(261\) −0.495300 + 1.84848i −0.0306583 + 0.114418i
\(262\) 32.0620 + 32.0620i 1.98079 + 1.98079i
\(263\) 1.71873 0.992307i 0.105981 0.0611883i −0.446073 0.894997i \(-0.647178\pi\)
0.552054 + 0.833809i \(0.313844\pi\)
\(264\) −11.2902 + 6.51837i −0.694861 + 0.401178i
\(265\) 46.4233 12.4391i 2.85176 0.764128i
\(266\) −3.80171 3.80171i −0.233097 0.233097i
\(267\) −0.916137 3.41907i −0.0560667 0.209244i
\(268\) −1.18019 2.04415i −0.0720916 0.124866i
\(269\) −7.21109 + 7.21109i −0.439668 + 0.439668i −0.891900 0.452232i \(-0.850628\pi\)
0.452232 + 0.891900i \(0.350628\pi\)
\(270\) 49.8134 28.7598i 3.03155 1.75027i
\(271\) −5.93847 + 10.2857i −0.360736 + 0.624813i −0.988082 0.153927i \(-0.950808\pi\)
0.627346 + 0.778741i \(0.284141\pi\)
\(272\) 66.3807 + 13.4526i 4.02492 + 0.815683i
\(273\) −1.08549 + 1.88012i −0.0656966 + 0.113790i
\(274\) 58.4482i 3.53099i
\(275\) 2.57477 + 9.60917i 0.155264 + 0.579455i
\(276\) 43.5115 75.3641i 2.61908 4.53639i
\(277\) −22.9337 6.14508i −1.37795 0.369222i −0.507577 0.861607i \(-0.669459\pi\)
−0.870378 + 0.492385i \(0.836125\pi\)
\(278\) −5.18123 + 19.3366i −0.310749 + 1.15973i
\(279\) −2.18156 2.18156i −0.130607 0.130607i
\(280\) 25.4702i 1.52214i
\(281\) −19.0624 + 11.0057i −1.13716 + 0.656542i −0.945727 0.324962i \(-0.894648\pi\)
−0.191438 + 0.981505i \(0.561315\pi\)
\(282\) −5.54630 + 20.6991i −0.330277 + 1.23261i
\(283\) −2.09162 + 0.560448i −0.124334 + 0.0333152i −0.320449 0.947266i \(-0.603834\pi\)
0.196116 + 0.980581i \(0.437167\pi\)
\(284\) −4.44198 16.5777i −0.263583 0.983706i
\(285\) 27.2111 1.61185
\(286\) −1.01313 3.78105i −0.0599076 0.223578i
\(287\) 0.253080 + 0.146116i 0.0149389 + 0.00862495i
\(288\) 5.48425 9.49900i 0.323162 0.559734i
\(289\) 15.6587 + 6.61855i 0.921100 + 0.389326i
\(290\) −53.4377 −3.13797
\(291\) −2.17230 + 1.25418i −0.127342 + 0.0735211i
\(292\) 9.75388 + 36.4020i 0.570802 + 2.13026i
\(293\) −16.4399 −0.960429 −0.480214 0.877151i \(-0.659441\pi\)
−0.480214 + 0.877151i \(0.659441\pi\)
\(294\) 8.82579 + 32.9383i 0.514731 + 1.92100i
\(295\) 1.22375 4.56709i 0.0712493 0.265906i
\(296\) 4.42435 16.5119i 0.257160 0.959735i
\(297\) 3.33863i 0.193727i
\(298\) −23.0264 + 13.2943i −1.33388 + 0.770117i
\(299\) 11.9116 + 11.9116i 0.688867 + 0.688867i
\(300\) −104.515 104.515i −6.03420 6.03420i
\(301\) 3.80527 + 0.0506882i 0.219332 + 0.00292162i
\(302\) −37.4670 −2.15598
\(303\) −20.5232 + 20.5232i −1.17903 + 1.17903i
\(304\) −47.7155 + 27.5486i −2.73667 + 1.58002i
\(305\) −11.3502 −0.649911
\(306\) 3.26538 3.69652i 0.186669 0.211316i
\(307\) −8.58507 14.8698i −0.489976 0.848663i 0.509958 0.860199i \(-0.329661\pi\)
−0.999933 + 0.0115368i \(0.996328\pi\)
\(308\) 1.98592 + 1.14657i 0.113158 + 0.0653321i
\(309\) 13.8803 13.8803i 0.789621 0.789621i
\(310\) 43.0753 74.6087i 2.44651 4.23749i
\(311\) −2.49810 0.669364i −0.141654 0.0379562i 0.187295 0.982304i \(-0.440028\pi\)
−0.328949 + 0.944348i \(0.606695\pi\)
\(312\) 26.5130 + 26.5130i 1.50100 + 1.50100i
\(313\) 5.64276 21.0591i 0.318948 1.19033i −0.601310 0.799016i \(-0.705354\pi\)
0.920258 0.391313i \(-0.127979\pi\)
\(314\) 8.78168 + 5.07011i 0.495579 + 0.286123i
\(315\) 0.953104 + 0.550275i 0.0537013 + 0.0310045i
\(316\) 20.6917 5.54433i 1.16400 0.311893i
\(317\) 6.56074 + 6.56074i 0.368488 + 0.368488i 0.866925 0.498438i \(-0.166093\pi\)
−0.498438 + 0.866925i \(0.666093\pi\)
\(318\) 14.5389 + 54.2600i 0.815302 + 3.04275i
\(319\) −1.55085 + 2.68615i −0.0868310 + 0.150396i
\(320\) 156.895 + 42.0400i 8.77072 + 2.35011i
\(321\) −5.77259 + 3.33281i −0.322194 + 0.186019i
\(322\) −13.3748 −0.745348
\(323\) −13.1112 + 4.39806i −0.729525 + 0.244715i
\(324\) 28.4591 + 49.2926i 1.58106 + 2.73848i
\(325\) 24.7787 14.3060i 1.37447 0.793552i
\(326\) −11.2492 41.9827i −0.623038 2.32521i
\(327\) −4.84063 + 8.38422i −0.267688 + 0.463649i
\(328\) 3.56889 3.56889i 0.197059 0.197059i
\(329\) 2.34729 0.628954i 0.129410 0.0346753i
\(330\) −15.1938 + 4.07117i −0.836391 + 0.224110i
\(331\) −20.2174 11.6725i −1.11125 0.641579i −0.172096 0.985080i \(-0.555054\pi\)
−0.939152 + 0.343501i \(0.888387\pi\)
\(332\) −32.8074 + 18.9414i −1.80054 + 1.03954i
\(333\) −0.522295 0.522295i −0.0286216 0.0286216i
\(334\) −5.50797 + 20.5560i −0.301382 + 1.12477i
\(335\) −0.475209 1.77350i −0.0259634 0.0968968i
\(336\) −17.6641 −0.963655
\(337\) 1.66478 + 6.21303i 0.0906861 + 0.338445i 0.996330 0.0855936i \(-0.0272787\pi\)
−0.905644 + 0.424039i \(0.860612\pi\)
\(338\) 21.3461 12.3242i 1.16107 0.670347i
\(339\) 2.44918 + 4.24210i 0.133021 + 0.230399i
\(340\) 90.9784 + 45.2735i 4.93400 + 2.45530i
\(341\) −2.50024 4.33053i −0.135395 0.234512i
\(342\) 4.01228i 0.216959i
\(343\) 5.60696 5.60696i 0.302747 0.302747i
\(344\) 17.8555 63.2553i 0.962705 3.41050i
\(345\) 47.8658 47.8658i 2.57701 2.57701i
\(346\) 19.6760 + 19.6760i 1.05779 + 1.05779i
\(347\) −4.18535 + 15.6199i −0.224681 + 0.838522i 0.757851 + 0.652428i \(0.226249\pi\)
−0.982532 + 0.186094i \(0.940417\pi\)
\(348\) 46.0843i 2.47038i
\(349\) 12.2993 7.10098i 0.658364 0.380107i −0.133289 0.991077i \(-0.542554\pi\)
0.791654 + 0.610970i \(0.209221\pi\)
\(350\) −5.87956 + 21.9428i −0.314275 + 1.17289i
\(351\) −9.27506 + 2.48525i −0.495066 + 0.132653i
\(352\) 12.5707 12.5707i 0.670022 0.670022i
\(353\) −5.55338 + 9.61873i −0.295576 + 0.511953i −0.975119 0.221683i \(-0.928845\pi\)
0.679542 + 0.733636i \(0.262178\pi\)
\(354\) 5.33805 + 1.43033i 0.283714 + 0.0760209i
\(355\) 13.3502i 0.708554i
\(356\) 5.37671 + 9.31274i 0.284965 + 0.493574i
\(357\) −4.34528 0.880606i −0.229977 0.0466066i
\(358\) 0.588639 1.01955i 0.0311105 0.0538850i
\(359\) 8.60031 + 4.96539i 0.453907 + 0.262063i 0.709479 0.704727i \(-0.248930\pi\)
−0.255572 + 0.966790i \(0.582264\pi\)
\(360\) 13.4405 13.4405i 0.708375 0.708375i
\(361\) −3.87512 + 6.71191i −0.203954 + 0.353258i
\(362\) 8.49534 + 31.7050i 0.446505 + 1.66638i
\(363\) 5.03881 18.8051i 0.264469 0.987012i
\(364\) 1.70700 6.37060i 0.0894710 0.333910i
\(365\) 29.3148i 1.53441i
\(366\) 13.2662i 0.693436i
\(367\) −3.14002 + 11.7187i −0.163908 + 0.611712i 0.834269 + 0.551357i \(0.185890\pi\)
−0.998177 + 0.0603547i \(0.980777\pi\)
\(368\) −35.4747 + 132.393i −1.84925 + 6.90148i
\(369\) −0.0564445 0.210654i −0.00293838 0.0109662i
\(370\) 10.3128 17.8623i 0.536137 0.928617i
\(371\) 4.50439 4.50439i 0.233856 0.233856i
\(372\) 64.3420 + 37.1479i 3.33598 + 1.92603i
\(373\) −0.679441 + 1.17683i −0.0351801 + 0.0609337i −0.883079 0.469224i \(-0.844534\pi\)
0.847899 + 0.530157i \(0.177867\pi\)
\(374\) 6.66284 4.41735i 0.344527 0.228416i
\(375\) −37.2050 64.4410i −1.92126 3.32772i
\(376\) 41.9703i 2.16445i
\(377\) 8.61685 + 2.30888i 0.443790 + 0.118913i
\(378\) 3.81192 6.60244i 0.196064 0.339593i
\(379\) 25.1404 25.1404i 1.29137 1.29137i 0.357437 0.933937i \(-0.383651\pi\)
0.933937 0.357437i \(-0.116349\pi\)
\(380\) −79.8496 + 21.3956i −4.09620 + 1.09757i
\(381\) 7.70031 28.7379i 0.394499 1.47229i
\(382\) 40.8863 23.6057i 2.09193 1.20777i
\(383\) 16.0500i 0.820116i −0.912059 0.410058i \(-0.865508\pi\)
0.912059 0.410058i \(-0.134492\pi\)
\(384\) −24.8466 + 92.7286i −1.26795 + 4.73204i
\(385\) 1.26131 + 1.26131i 0.0642825 + 0.0642825i
\(386\) 44.9500 44.9500i 2.28790 2.28790i
\(387\) −1.98127 2.03477i −0.100714 0.103433i
\(388\) 5.38836 5.38836i 0.273552 0.273552i
\(389\) 16.5744i 0.840357i −0.907441 0.420179i \(-0.861967\pi\)
0.907441 0.420179i \(-0.138033\pi\)
\(390\) 22.6203 + 39.1794i 1.14542 + 1.98393i
\(391\) −15.3268 + 30.7996i −0.775110 + 1.55760i
\(392\) −33.3936 57.8393i −1.68663 2.92133i
\(393\) −26.3419 + 15.2085i −1.32877 + 0.767167i
\(394\) 9.97140 + 37.2138i 0.502352 + 1.87480i
\(395\) 16.6632 0.838418
\(396\) −0.442920 1.65300i −0.0222576 0.0830664i
\(397\) −1.68303 + 6.28117i −0.0844691 + 0.315243i −0.995213 0.0977284i \(-0.968842\pi\)
0.910744 + 0.412971i \(0.135509\pi\)
\(398\) 0.126045 + 0.126045i 0.00631808 + 0.00631808i
\(399\) 3.12346 1.80333i 0.156368 0.0902793i
\(400\) 201.611 + 116.400i 10.0806 + 5.82001i
\(401\) −26.5683 + 7.11896i −1.32676 + 0.355504i −0.851505 0.524346i \(-0.824310\pi\)
−0.475252 + 0.879850i \(0.657643\pi\)
\(402\) 2.07288 0.555428i 0.103386 0.0277022i
\(403\) −10.1695 + 10.1695i −0.506580 + 0.506580i
\(404\) 44.0872 76.3612i 2.19342 3.79911i
\(405\) 11.4592 + 42.7662i 0.569411 + 2.12507i
\(406\) −6.13390 + 3.54141i −0.304420 + 0.175757i
\(407\) −0.598589 1.03679i −0.0296710 0.0513916i
\(408\) −34.1146 + 68.5542i −1.68892 + 3.39394i
\(409\) −9.63146 −0.476245 −0.238123 0.971235i \(-0.576532\pi\)
−0.238123 + 0.971235i \(0.576532\pi\)
\(410\) 5.27390 3.04489i 0.260459 0.150376i
\(411\) 37.8727 + 10.1480i 1.86812 + 0.500562i
\(412\) −29.8171 + 51.6447i −1.46898 + 2.54435i
\(413\) −0.162200 0.605337i −0.00798132 0.0297867i
\(414\) 7.05780 + 7.05780i 0.346872 + 0.346872i
\(415\) −28.4637 + 7.62683i −1.39723 + 0.374386i
\(416\) −44.2803 25.5653i −2.17102 1.25344i
\(417\) −11.6300 6.71456i −0.569522 0.328814i
\(418\) −1.68312 + 6.28149i −0.0823242 + 0.307238i
\(419\) −10.5488 10.5488i −0.515342 0.515342i 0.400816 0.916158i \(-0.368727\pi\)
−0.916158 + 0.400816i \(0.868727\pi\)
\(420\) −25.5997 6.85942i −1.24914 0.334705i
\(421\) −9.74967 + 16.8869i −0.475170 + 0.823019i −0.999596 0.0284377i \(-0.990947\pi\)
0.524426 + 0.851456i \(0.324280\pi\)
\(422\) 4.79194 4.79194i 0.233268 0.233268i
\(423\) −1.57055 0.906755i −0.0763625 0.0440879i
\(424\) −55.0099 95.2800i −2.67152 4.62720i
\(425\) 43.7925 + 38.6848i 2.12425 + 1.87649i
\(426\) 15.6038 0.756006
\(427\) −1.30284 + 0.752198i −0.0630491 + 0.0364014i
\(428\) 14.3188 14.3188i 0.692127 0.692127i
\(429\) 2.62591 0.126780
\(430\) 40.5635 68.1455i 1.95615 3.28627i
\(431\) −8.73509 8.73509i −0.420754 0.420754i 0.464709 0.885463i \(-0.346159\pi\)
−0.885463 + 0.464709i \(0.846159\pi\)
\(432\) −55.2452 55.2452i −2.65799 2.65799i
\(433\) −23.8136 + 13.7488i −1.14441 + 0.660726i −0.947519 0.319700i \(-0.896418\pi\)
−0.196891 + 0.980425i \(0.563085\pi\)
\(434\) 11.4187i 0.548115i
\(435\) 9.27802 34.6260i 0.444847 1.66019i
\(436\) 7.61221 28.4092i 0.364559 1.36055i
\(437\) −7.24324 27.0321i −0.346491 1.29312i
\(438\) −34.2634 −1.63717
\(439\) −5.79981 21.6452i −0.276810 1.03307i −0.954619 0.297831i \(-0.903737\pi\)
0.677809 0.735238i \(-0.262930\pi\)
\(440\) 26.6802 15.4038i 1.27193 0.734348i
\(441\) −2.88583 −0.137420
\(442\) −17.2316 15.2218i −0.819624 0.724029i
\(443\) 2.68362 4.64817i 0.127503 0.220841i −0.795206 0.606340i \(-0.792637\pi\)
0.922708 + 0.385498i \(0.125971\pi\)
\(444\) 15.4043 + 8.89369i 0.731057 + 0.422076i
\(445\) 2.16496 + 8.07973i 0.102629 + 0.383016i
\(446\) −43.8779 −2.07768
\(447\) −4.61639 17.2286i −0.218348 0.814885i
\(448\) 20.7954 5.57212i 0.982492 0.263258i
\(449\) 7.48849 27.9474i 0.353404 1.31892i −0.529078 0.848573i \(-0.677462\pi\)
0.882481 0.470347i \(-0.155871\pi\)
\(450\) 14.6817 8.47648i 0.692102 0.399585i
\(451\) 0.353471i 0.0166443i
\(452\) −10.5225 10.5225i −0.494936 0.494936i
\(453\) 6.50514 24.2775i 0.305638 1.14066i
\(454\) 1.55523 + 0.416722i 0.0729905 + 0.0195577i
\(455\) 2.56515 4.44297i 0.120256 0.208290i
\(456\) −16.1221 60.1684i −0.754986 2.81764i
\(457\) 24.9188i 1.16565i −0.812596 0.582827i \(-0.801947\pi\)
0.812596 0.582827i \(-0.198053\pi\)
\(458\) 20.2675 35.1044i 0.947040 1.64032i
\(459\) −10.8359 16.3442i −0.505778 0.762882i
\(460\) −102.824 + 178.096i −4.79417 + 8.30375i
\(461\) 22.7168 13.1155i 1.05803 0.610852i 0.133141 0.991097i \(-0.457494\pi\)
0.924886 + 0.380245i \(0.124160\pi\)
\(462\) −1.47423 + 1.47423i −0.0685875 + 0.0685875i
\(463\) 9.96857 + 17.2661i 0.463279 + 0.802422i 0.999122 0.0418951i \(-0.0133395\pi\)
−0.535843 + 0.844317i \(0.680006\pi\)
\(464\) 18.7862 + 70.1109i 0.872125 + 3.25482i
\(465\) 40.8653 + 40.8653i 1.89508 + 1.89508i
\(466\) 40.0874 10.7414i 1.85701 0.497585i
\(467\) 31.9672 18.4563i 1.47927 0.854055i 0.479542 0.877519i \(-0.340803\pi\)
0.999725 + 0.0234641i \(0.00746955\pi\)
\(468\) −4.26250 + 2.46096i −0.197034 + 0.113758i
\(469\) −0.172080 0.172080i −0.00794594 0.00794594i
\(470\) 13.1067 48.9147i 0.604565 2.25627i
\(471\) −4.80998 + 4.80998i −0.221632 + 0.221632i
\(472\) −10.8237 −0.498199
\(473\) −2.24825 4.01670i −0.103375 0.184688i
\(474\) 19.4761i 0.894568i
\(475\) −47.5333 −2.18098
\(476\) 13.4434 0.832526i 0.616177 0.0381588i
\(477\) −4.75388 −0.217665
\(478\) −38.1188 + 22.0079i −1.74351 + 1.00662i
\(479\) 34.5084 + 9.24649i 1.57673 + 0.422483i 0.937911 0.346876i \(-0.112758\pi\)
0.638817 + 0.769359i \(0.279424\pi\)
\(480\) −102.732 + 177.937i −4.68904 + 8.12166i
\(481\) −2.43472 + 2.43472i −0.111014 + 0.111014i
\(482\) 26.9899 7.23192i 1.22936 0.329405i
\(483\) 2.32217 8.66647i 0.105663 0.394338i
\(484\) 59.1445i 2.68839i
\(485\) 5.13343 2.96379i 0.233097 0.134579i
\(486\) −11.9185 + 3.19354i −0.540632 + 0.144862i
\(487\) −22.8196 + 6.11448i −1.03405 + 0.277074i −0.735647 0.677365i \(-0.763122\pi\)
−0.298406 + 0.954439i \(0.596455\pi\)
\(488\) 6.72478 + 25.0972i 0.304417 + 1.13610i
\(489\) 29.1567 1.31851
\(490\) −20.8565 77.8377i −0.942203 3.51635i
\(491\) −20.1502 11.6337i −0.909365 0.525022i −0.0291384 0.999575i \(-0.509276\pi\)
−0.880227 + 0.474553i \(0.842610\pi\)
\(492\) 2.62589 + 4.54817i 0.118384 + 0.205048i
\(493\) 1.12607 + 18.1835i 0.0507157 + 0.818943i
\(494\) 18.7035 0.841512
\(495\) 1.33118i 0.0598319i
\(496\) −113.031 30.2865i −5.07523 1.35990i
\(497\) −0.884739 1.53241i −0.0396860 0.0687381i
\(498\) −8.91429 33.2686i −0.399459 1.49080i
\(499\) −42.2598 + 11.3235i −1.89181 + 0.506909i −0.893483 + 0.449098i \(0.851745\pi\)
−0.998328 + 0.0578110i \(0.981588\pi\)
\(500\) 159.845 + 159.845i 7.14849 + 7.14849i
\(501\) −12.3634 7.13800i −0.552355 0.318902i
\(502\) −52.3013 30.1962i −2.33432 1.34772i
\(503\) 32.5348 8.71768i 1.45066 0.388702i 0.554404 0.832247i \(-0.312946\pi\)
0.896252 + 0.443545i \(0.146279\pi\)
\(504\) 0.652055 2.43350i 0.0290448 0.108397i
\(505\) 48.4991 48.4991i 2.15818 2.15818i
\(506\) 8.08877 + 14.0102i 0.359590 + 0.622828i
\(507\) 4.27953 + 15.9714i 0.190060 + 0.709315i
\(508\) 90.3846i 4.01017i
\(509\) 20.3159 35.1881i 0.900486 1.55969i 0.0736213 0.997286i \(-0.476544\pi\)
0.826865 0.562401i \(-0.190122\pi\)
\(510\) −61.1676 + 69.2437i −2.70855 + 3.06616i
\(511\) 1.94274 + 3.36493i 0.0859419 + 0.148856i
\(512\) 86.7182i 3.83244i
\(513\) 15.4088 + 4.12876i 0.680313 + 0.182289i
\(514\) 21.1837 0.934372
\(515\) −32.8010 + 32.8010i −1.44538 + 1.44538i
\(516\) 58.7682 + 34.9817i 2.58713 + 1.53998i
\(517\) −2.07842 2.07842i −0.0914088 0.0914088i
\(518\) 2.73379i 0.120116i
\(519\) −16.1657 + 9.33328i −0.709596 + 0.409685i
\(520\) −62.6539 62.6539i −2.74755 2.74755i
\(521\) 0.849346 3.16980i 0.0372105 0.138872i −0.944822 0.327585i \(-0.893765\pi\)
0.982032 + 0.188714i \(0.0604318\pi\)
\(522\) 5.10561 + 1.36804i 0.223466 + 0.0598776i
\(523\) 7.71374 13.3606i 0.337299 0.584218i −0.646625 0.762808i \(-0.723820\pi\)
0.983924 + 0.178590i \(0.0571535\pi\)
\(524\) 65.3407 65.3407i 2.85442 2.85442i
\(525\) −13.1975 7.61956i −0.575984 0.332545i
\(526\) −2.74080 4.74721i −0.119505 0.206988i
\(527\) −26.2951 13.0852i −1.14543 0.570002i
\(528\) 10.6828 + 18.5032i 0.464911 + 0.805249i
\(529\) −40.3735 23.3097i −1.75537 1.01346i
\(530\) −34.3574 128.224i −1.49239 5.56968i
\(531\) −0.233841 + 0.405025i −0.0101478 + 0.0175766i
\(532\) −7.74769 + 7.74769i −0.335905 + 0.335905i
\(533\) −0.981979 + 0.263120i −0.0425342 + 0.0113970i
\(534\) −9.44365 + 2.53042i −0.408666 + 0.109502i
\(535\) 13.6414 7.87587i 0.589770 0.340504i
\(536\) −3.63996 + 2.10153i −0.157223 + 0.0907725i
\(537\) 0.558439 + 0.558439i 0.0240984 + 0.0240984i
\(538\) 19.9174 + 19.9174i 0.858700 + 0.858700i
\(539\) −4.51796 1.21058i −0.194602 0.0521435i
\(540\) −58.6111 101.517i −2.52222 4.36861i
\(541\) 6.29249 + 23.4839i 0.270535 + 1.00965i 0.958775 + 0.284168i \(0.0917172\pi\)
−0.688239 + 0.725484i \(0.741616\pi\)
\(542\) 28.4097 + 16.4023i 1.22030 + 0.704541i
\(543\) −22.0189 −0.944922
\(544\) 20.7400 102.340i 0.889218 4.38778i
\(545\) 11.4391 19.8131i 0.489996 0.848698i
\(546\) 5.19298 + 2.99817i 0.222239 + 0.128310i
\(547\) −25.3817 6.80102i −1.08524 0.290790i −0.328502 0.944503i \(-0.606544\pi\)
−0.756743 + 0.653713i \(0.773210\pi\)
\(548\) −119.115 −5.08833
\(549\) 1.08443 + 0.290573i 0.0462825 + 0.0124014i
\(550\) 26.5410 7.11165i 1.13171 0.303242i
\(551\) −10.4795 10.4795i −0.446442 0.446442i
\(552\) −134.199 77.4798i −5.71188 3.29776i
\(553\) 1.91271 1.10430i 0.0813365 0.0469597i
\(554\) −16.9730 + 63.3442i −0.721114 + 2.69124i
\(555\) 9.78370 + 9.78370i 0.415295 + 0.415295i
\(556\) 39.4071 + 10.5591i 1.67123 + 0.447805i
\(557\) −16.2589 −0.688912 −0.344456 0.938802i \(-0.611937\pi\)
−0.344456 + 0.938802i \(0.611937\pi\)
\(558\) −6.02559 + 6.02559i −0.255083 + 0.255083i
\(559\) −9.48524 + 9.23586i −0.401183 + 0.390635i
\(560\) 41.7426 1.76395
\(561\) 1.70549 + 5.08428i 0.0720058 + 0.214658i
\(562\) 30.3982 + 52.6512i 1.28227 + 2.22096i
\(563\) 1.54025i 0.0649140i 0.999473 + 0.0324570i \(0.0103332\pi\)
−0.999473 + 0.0324570i \(0.989667\pi\)
\(564\) 42.1837 + 11.3031i 1.77626 + 0.475946i
\(565\) −5.78774 10.0247i −0.243492 0.421741i
\(566\) 1.54799 + 5.77716i 0.0650667 + 0.242832i
\(567\) 4.14954 + 4.14954i 0.174264 + 0.174264i
\(568\) −29.5195 + 7.90972i −1.23861 + 0.331885i
\(569\) 11.9551 6.90230i 0.501186 0.289360i −0.228017 0.973657i \(-0.573224\pi\)
0.729203 + 0.684297i \(0.239891\pi\)
\(570\) 75.1586i 3.14805i
\(571\) −4.04130 + 15.0823i −0.169123 + 0.631176i 0.828355 + 0.560203i \(0.189277\pi\)
−0.997478 + 0.0709724i \(0.977390\pi\)
\(572\) −7.70559 + 2.06471i −0.322187 + 0.0863298i
\(573\) 8.19700 + 30.5916i 0.342435 + 1.27798i
\(574\) 0.403580 0.699021i 0.0168451 0.0291766i
\(575\) −83.6135 + 83.6135i −3.48692 + 3.48692i
\(576\) −13.9140 8.03326i −0.579751 0.334719i
\(577\) −12.6895 + 21.9789i −0.528271 + 0.914992i 0.471186 + 0.882034i \(0.343826\pi\)
−0.999457 + 0.0329581i \(0.989507\pi\)
\(578\) 18.2808 43.2501i 0.760380 1.79897i
\(579\) 21.3219 + 36.9307i 0.886109 + 1.53479i
\(580\) 108.903i 4.52197i
\(581\) −2.76179 + 2.76179i −0.114578 + 0.114578i
\(582\) 3.46410 + 6.00000i 0.143592 + 0.248708i
\(583\) −7.44253 1.99422i −0.308238 0.0825921i
\(584\) 64.8200 17.3685i 2.68227 0.718713i
\(585\) −3.69815 + 0.990915i −0.152900 + 0.0409693i
\(586\) 45.4078i 1.87578i
\(587\) −3.38817 1.95616i −0.139845 0.0807395i 0.428445 0.903568i \(-0.359062\pi\)
−0.568290 + 0.822828i \(0.692395\pi\)
\(588\) 67.1267 17.9865i 2.76826 0.741752i
\(589\) 23.0786 6.18390i 0.950939 0.254803i
\(590\) −12.6145 3.38005i −0.519332 0.139155i
\(591\) −25.8447 −1.06311
\(592\) −27.0610 7.25098i −1.11220 0.298014i
\(593\) −14.1005 8.14094i −0.579039 0.334308i 0.181712 0.983352i \(-0.441836\pi\)
−0.760751 + 0.649043i \(0.775169\pi\)
\(594\) −9.22146 −0.378361
\(595\) 10.2685 + 2.08099i 0.420967 + 0.0853124i
\(596\) 27.0931 + 46.9267i 1.10978 + 1.92219i
\(597\) −0.103558 + 0.0597892i −0.00423835 + 0.00244701i
\(598\) 32.9005 32.9005i 1.34540 1.34540i
\(599\) −15.4071 26.6858i −0.629516 1.09035i −0.987649 0.156683i \(-0.949920\pi\)
0.358133 0.933670i \(-0.383413\pi\)
\(600\) −186.108 + 186.108i −7.59782 + 7.59782i
\(601\) 10.1286 + 10.1286i 0.413155 + 0.413155i 0.882836 0.469681i \(-0.155631\pi\)
−0.469681 + 0.882836i \(0.655631\pi\)
\(602\) 0.140004 10.5104i 0.00570612 0.428370i
\(603\) 0.181612i 0.00739580i
\(604\) 76.3560i 3.10688i
\(605\) −11.9074 + 44.4390i −0.484105 + 1.80670i
\(606\) 56.6861 + 56.6861i 2.30271 + 2.30271i
\(607\) −2.04149 0.547016i −0.0828616 0.0222027i 0.217150 0.976138i \(-0.430324\pi\)
−0.300012 + 0.953936i \(0.596991\pi\)
\(608\) 42.4718 + 73.5634i 1.72246 + 2.98339i
\(609\) −1.22974 4.58946i −0.0498316 0.185974i
\(610\) 31.3499i 1.26932i
\(611\) −4.22691 + 7.32122i −0.171002 + 0.296185i
\(612\) −7.53333 6.65469i −0.304517 0.269000i
\(613\) −38.3770 −1.55003 −0.775015 0.631942i \(-0.782258\pi\)
−0.775015 + 0.631942i \(0.782258\pi\)
\(614\) −41.0711 + 23.7124i −1.65749 + 0.956954i
\(615\) 1.05733 + 3.94599i 0.0426355 + 0.159118i
\(616\) 2.04167 3.53628i 0.0822614 0.142481i
\(617\) 11.9324 + 44.5322i 0.480379 + 1.79280i 0.600024 + 0.799982i \(0.295158\pi\)
−0.119645 + 0.992817i \(0.538175\pi\)
\(618\) −38.3380 38.3380i −1.54218 1.54218i
\(619\) 0.914002 0.244906i 0.0367368 0.00984360i −0.240404 0.970673i \(-0.577280\pi\)
0.277141 + 0.960829i \(0.410613\pi\)
\(620\) −152.049 87.7855i −6.10643 3.52555i
\(621\) 34.3675 19.8421i 1.37912 0.796235i
\(622\) −1.84882 + 6.89988i −0.0741309 + 0.276660i
\(623\) 0.783964 + 0.783964i 0.0314089 + 0.0314089i
\(624\) 43.4517 43.4517i 1.73946 1.73946i
\(625\) 52.4910 + 90.9170i 2.09964 + 3.63668i
\(626\) −58.1662 15.5856i −2.32479 0.622926i
\(627\) −3.77799 2.18123i −0.150879 0.0871098i
\(628\) 10.3326 17.8966i 0.412317 0.714154i
\(629\) −6.29541 3.13278i −0.251014 0.124912i
\(630\) 1.51989 2.63252i 0.0605538 0.104882i
\(631\) 20.5442 + 11.8612i 0.817852 + 0.472187i 0.849675 0.527307i \(-0.176798\pi\)
−0.0318235 + 0.999494i \(0.510131\pi\)
\(632\) −9.87265 36.8452i −0.392713 1.46562i
\(633\) 2.27304 + 3.93703i 0.0903454 + 0.156483i
\(634\) 18.1211 18.1211i 0.719681 0.719681i
\(635\) −18.1969 + 67.9116i −0.722121 + 2.69499i
\(636\) 110.579 29.6296i 4.38475 1.17489i
\(637\) 13.4525i 0.533008i
\(638\) 7.41929 + 4.28353i 0.293733 + 0.169587i
\(639\) −0.341774 + 1.27552i −0.0135204 + 0.0504587i
\(640\) 58.7158 219.130i 2.32095 8.66189i
\(641\) 1.18874 1.18874i 0.0469526 0.0469526i −0.683241 0.730193i \(-0.739430\pi\)
0.730193 + 0.683241i \(0.239430\pi\)
\(642\) 9.20538 + 15.9442i 0.363307 + 0.629267i
\(643\) 2.08391 2.08391i 0.0821812 0.0821812i −0.664821 0.747002i \(-0.731492\pi\)
0.747002 + 0.664821i \(0.231492\pi\)
\(644\) 27.2572i 1.07408i
\(645\) 37.1135 + 38.1156i 1.46134 + 1.50080i
\(646\) 12.1477 + 36.2137i 0.477944 + 1.42481i
\(647\) 30.2296 1.18845 0.594225 0.804299i \(-0.297459\pi\)
0.594225 + 0.804299i \(0.297459\pi\)
\(648\) 87.7740 50.6764i 3.44809 1.99076i
\(649\) −0.536000 + 0.536000i −0.0210398 + 0.0210398i
\(650\) −39.5138 68.4399i −1.54986 2.68443i
\(651\) 7.39898 + 1.98255i 0.289989 + 0.0777023i
\(652\) −85.5588 + 22.9254i −3.35074 + 0.897829i
\(653\) 25.0635 + 25.0635i 0.980809 + 0.980809i 0.999819 0.0190100i \(-0.00605144\pi\)
−0.0190100 + 0.999819i \(0.506051\pi\)
\(654\) 23.1577 + 13.3701i 0.905536 + 0.522811i
\(655\) 62.2495 35.9398i 2.43229 1.40428i
\(656\) −5.84898 5.84898i −0.228364 0.228364i
\(657\) 0.750480 2.80083i 0.0292790 0.109271i
\(658\) −1.73720 6.48333i −0.0677232 0.252746i
\(659\) −9.92357 + 17.1881i −0.386567 + 0.669555i −0.991985 0.126353i \(-0.959673\pi\)
0.605418 + 0.795908i \(0.293006\pi\)
\(660\) 8.29684 + 30.9642i 0.322954 + 1.20528i
\(661\) 23.6657i 0.920487i 0.887793 + 0.460244i \(0.152238\pi\)
−0.887793 + 0.460244i \(0.847762\pi\)
\(662\) −32.2401 + 55.8415i −1.25305 + 2.17034i
\(663\) 12.8551 8.52272i 0.499251 0.330995i
\(664\) 33.7284 + 58.4193i 1.30892 + 2.26711i
\(665\) −7.38115 + 4.26151i −0.286229 + 0.165254i
\(666\) −1.44261 + 1.44261i −0.0558998 + 0.0558998i
\(667\) −36.8679 −1.42753
\(668\) 41.8922 + 11.2250i 1.62086 + 0.434307i
\(669\) 7.61822 28.4316i 0.294537 1.09923i
\(670\) −4.89851 + 1.31255i −0.189246 + 0.0507083i
\(671\) 1.57586 + 0.909825i 0.0608355 + 0.0351234i
\(672\) 27.2328i 1.05053i
\(673\) 40.1754 10.7650i 1.54865 0.414959i 0.619600 0.784918i \(-0.287295\pi\)
0.929048 + 0.369959i \(0.120628\pi\)
\(674\) 17.1607 4.59820i 0.661006 0.177116i
\(675\) −17.4452 65.1062i −0.671464 2.50594i
\(676\) −25.1161 43.5023i −0.966003 1.67317i
\(677\) 20.5839 20.5839i 0.791104 0.791104i −0.190570 0.981674i \(-0.561034\pi\)
0.981674 + 0.190570i \(0.0610336\pi\)
\(678\) 11.7169 6.76476i 0.449985 0.259799i
\(679\) 0.392831 0.680403i 0.0150755 0.0261115i
\(680\) 80.6174 162.003i 3.09154 6.21253i
\(681\) −0.540047 + 0.935389i −0.0206947 + 0.0358442i
\(682\) −11.9612 + 6.90578i −0.458016 + 0.264436i
\(683\) −39.1292 10.4846i −1.49724 0.401184i −0.585064 0.810987i \(-0.698931\pi\)
−0.912174 + 0.409803i \(0.865597\pi\)
\(684\) 8.17683 0.312649
\(685\) −89.4984 23.9810i −3.41956 0.916268i
\(686\) −15.4867 15.4867i −0.591285 0.591285i
\(687\) 19.2277 + 19.2277i 0.733583 + 0.733583i
\(688\) −103.668 29.2631i −3.95230 1.11564i
\(689\) 22.1606i 0.844252i
\(690\) −132.208 132.208i −5.03306 5.03306i
\(691\) 3.92068 14.6322i 0.149150 0.556634i −0.850386 0.526159i \(-0.823632\pi\)
0.999536 0.0304744i \(-0.00970180\pi\)
\(692\) 40.0988 40.0988i 1.52433 1.52433i
\(693\) −0.0882193 0.152800i −0.00335117 0.00580440i
\(694\) 43.1430 + 11.5601i 1.63769 + 0.438817i
\(695\) 27.4832 + 15.8674i 1.04250 + 0.601886i
\(696\) −82.0611 −3.11052
\(697\) −1.14723 1.73041i −0.0434545 0.0655440i
\(698\) −19.6133 33.9712i −0.742374 1.28583i
\(699\) 27.8404i 1.05302i
\(700\) 44.7184 + 11.9823i 1.69020 + 0.452887i
\(701\) −6.57042 + 11.3803i −0.248162 + 0.429828i −0.963016 0.269445i \(-0.913160\pi\)
0.714854 + 0.699274i \(0.246493\pi\)
\(702\) 6.86438 + 25.6182i 0.259079 + 0.966897i
\(703\) 5.52533 1.48051i 0.208392 0.0558384i
\(704\) −18.4135 18.4135i −0.693983 0.693983i
\(705\) 29.4197 + 16.9855i 1.10801 + 0.639710i
\(706\) 26.5674 + 15.3387i 0.999878 + 0.577280i
\(707\) 2.35290 8.78113i 0.0884898 0.330248i
\(708\) 2.91493 10.8787i 0.109550 0.408846i
\(709\) 2.46860 2.46860i 0.0927101 0.0927101i −0.659231 0.751941i \(-0.729118\pi\)
0.751941 + 0.659231i \(0.229118\pi\)
\(710\) −36.8739 −1.38385
\(711\) −1.59206 0.426591i −0.0597068 0.0159984i
\(712\) 16.5829 9.57417i 0.621472 0.358807i
\(713\) 29.7187 51.4743i 1.11297 1.92773i
\(714\) −2.43228 + 12.0019i −0.0910258 + 0.449159i
\(715\) −6.20538 −0.232068
\(716\) −2.07780 1.19962i −0.0776510 0.0448318i
\(717\) −7.64216 28.5209i −0.285402 1.06513i
\(718\) 13.7147 23.7545i 0.511827 0.886510i
\(719\) 31.0244 + 8.31295i 1.15701 + 0.310021i 0.785773 0.618516i \(-0.212266\pi\)
0.371241 + 0.928536i \(0.378932\pi\)
\(720\) −22.0273 22.0273i −0.820911 0.820911i
\(721\) −1.59131 + 5.93886i −0.0592636 + 0.221175i
\(722\) 18.5386 + 10.7033i 0.689937 + 0.398335i
\(723\) 18.7443i 0.697108i
\(724\) 64.6133 17.3131i 2.40134 0.643436i
\(725\) −16.2071 + 60.4859i −0.601918 + 2.24639i
\(726\) −51.9407 13.9175i −1.92770 0.516525i
\(727\) −13.7528 −0.510063 −0.255031 0.966933i \(-0.582086\pi\)
−0.255031 + 0.966933i \(0.582086\pi\)
\(728\) −11.3440 3.03961i −0.420435 0.112655i
\(729\) 22.0579i 0.816959i
\(730\) 80.9690 2.99680
\(731\) −24.0430 12.3667i −0.889261 0.457400i
\(732\) −27.0359 −0.999275
\(733\) 31.9012i 1.17830i −0.808024 0.589149i \(-0.799463\pi\)
0.808024 0.589149i \(-0.200537\pi\)
\(734\) 32.3677 + 8.67290i 1.19471 + 0.320122i
\(735\) 54.0577 1.99395
\(736\) 204.112 + 54.6916i 7.52366 + 2.01596i
\(737\) −0.0761848 + 0.284326i −0.00280630 + 0.0104733i
\(738\) −0.581836 + 0.155903i −0.0214177 + 0.00573885i
\(739\) 23.0880i 0.849306i −0.905356 0.424653i \(-0.860396\pi\)
0.905356 0.424653i \(-0.139604\pi\)
\(740\) −36.4025 21.0170i −1.33818 0.772600i
\(741\) −3.24737 + 12.1193i −0.119295 + 0.445215i
\(742\) −12.4414 12.4414i −0.456736 0.456736i
\(743\) 12.3217 + 3.30158i 0.452038 + 0.121123i 0.477653 0.878549i \(-0.341488\pi\)
−0.0256149 + 0.999672i \(0.508154\pi\)
\(744\) 66.1483 114.572i 2.42511 4.20042i
\(745\) 10.9092 + 40.7136i 0.399681 + 1.49163i
\(746\) 3.25045 + 1.87665i 0.119008 + 0.0687091i
\(747\) 2.91476 0.106646
\(748\) −9.00234 13.5785i −0.329158 0.496481i
\(749\) 1.04390 1.80808i 0.0381431 0.0660658i
\(750\) −177.989 + 102.762i −6.49925 + 3.75235i
\(751\) 20.3078 + 5.44145i 0.741041 + 0.198561i 0.609541 0.792755i \(-0.291354\pi\)
0.131500 + 0.991316i \(0.458021\pi\)
\(752\) −68.7844 −2.50831
\(753\) 28.6469 28.6469i 1.04395 1.04395i
\(754\) 6.37724 23.8002i 0.232245 0.866752i
\(755\) −15.3725 + 57.3711i −0.559464 + 2.08795i
\(756\) −13.4555 7.76852i −0.489371 0.282538i
\(757\) −6.62035 3.82226i −0.240621 0.138922i 0.374841 0.927089i