Properties

Label 731.2.n.a.208.17
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 208.17
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.48

$q$-expansion

\(f(q)\) \(=\) \(q-1.62839i q^{2} +(0.474953 + 0.127263i) q^{3} -0.651670 q^{4} +(2.37962 + 0.637618i) q^{5} +(0.207235 - 0.773411i) q^{6} +(4.72094 - 1.26497i) q^{7} -2.19561i q^{8} +(-2.38869 - 1.37911i) q^{9} +O(q^{10})\) \(q-1.62839i q^{2} +(0.474953 + 0.127263i) q^{3} -0.651670 q^{4} +(2.37962 + 0.637618i) q^{5} +(0.207235 - 0.773411i) q^{6} +(4.72094 - 1.26497i) q^{7} -2.19561i q^{8} +(-2.38869 - 1.37911i) q^{9} +(1.03829 - 3.87497i) q^{10} +(0.797618 + 0.797618i) q^{11} +(-0.309513 - 0.0829336i) q^{12} +(-2.17279 + 3.76339i) q^{13} +(-2.05987 - 7.68755i) q^{14} +(1.04906 + 0.605678i) q^{15} -4.87867 q^{16} +(-2.22128 + 3.47360i) q^{17} +(-2.24574 + 3.88973i) q^{18} +(7.38769 - 4.26529i) q^{19} +(-1.55073 - 0.415516i) q^{20} +2.40321 q^{21} +(1.29884 - 1.29884i) q^{22} +(-0.586854 + 2.19017i) q^{23} +(0.279421 - 1.04281i) q^{24} +(0.925925 + 0.534583i) q^{25} +(6.12828 + 3.53816i) q^{26} +(-2.00208 - 2.00208i) q^{27} +(-3.07649 + 0.824344i) q^{28} +(2.33255 + 8.70518i) q^{29} +(0.986282 - 1.70829i) q^{30} +(-7.40168 - 1.98327i) q^{31} +3.55317i q^{32} +(0.277324 + 0.480338i) q^{33} +(5.65639 + 3.61712i) q^{34} +12.0406 q^{35} +(1.55664 + 0.898725i) q^{36} +(-4.59597 - 1.23149i) q^{37} +(-6.94557 - 12.0301i) q^{38} +(-1.51091 + 1.51091i) q^{39} +(1.39996 - 5.22474i) q^{40} +(0.206229 + 0.206229i) q^{41} -3.91337i q^{42} +(-6.29611 - 1.83277i) q^{43} +(-0.519783 - 0.519783i) q^{44} +(-4.80484 - 4.80484i) q^{45} +(3.56646 + 0.955630i) q^{46} +11.0739 q^{47} +(-2.31714 - 0.620875i) q^{48} +(14.6249 - 8.44371i) q^{49} +(0.870512 - 1.50777i) q^{50} +(-1.49707 + 1.36711i) q^{51} +(1.41594 - 2.45248i) q^{52} +(-5.56279 + 3.21168i) q^{53} +(-3.26017 + 3.26017i) q^{54} +(1.38945 + 2.40661i) q^{55} +(-2.77739 - 10.3654i) q^{56} +(4.05162 - 1.08563i) q^{57} +(14.1755 - 3.79830i) q^{58} -4.07735i q^{59} +(-0.683643 - 0.394702i) q^{60} +(-10.9289 + 2.92838i) q^{61} +(-3.22955 + 12.0529i) q^{62} +(-13.0214 - 3.48907i) q^{63} -3.97138 q^{64} +(-7.57003 + 7.57003i) q^{65} +(0.782181 - 0.451592i) q^{66} +(-4.01244 - 6.94975i) q^{67} +(1.44754 - 2.26364i) q^{68} +(-0.557456 + 0.965543i) q^{69} -19.6069i q^{70} +(-0.793774 - 2.96240i) q^{71} +(-3.02800 + 5.24465i) q^{72} +(-0.341514 - 1.27455i) q^{73} +(-2.00534 + 7.48405i) q^{74} +(0.371738 + 0.371738i) q^{75} +(-4.81433 + 2.77956i) q^{76} +(4.77447 + 2.75654i) q^{77} +(2.46037 + 2.46037i) q^{78} +(-5.42869 + 1.45461i) q^{79} +(-11.6094 - 3.11073i) q^{80} +(3.44123 + 5.96039i) q^{81} +(0.335822 - 0.335822i) q^{82} +(7.37370 - 4.25721i) q^{83} -1.56610 q^{84} +(-7.50065 + 6.84953i) q^{85} +(-2.98447 + 10.2525i) q^{86} +4.43140i q^{87} +(1.75126 - 1.75126i) q^{88} +(1.70905 + 2.96016i) q^{89} +(-7.82418 + 7.82418i) q^{90} +(-5.49704 + 20.5152i) q^{91} +(0.382435 - 1.42727i) q^{92} +(-3.26305 - 1.88393i) q^{93} -18.0327i q^{94} +(20.2995 - 5.43925i) q^{95} +(-0.452188 + 1.68759i) q^{96} +(-5.41456 + 5.41456i) q^{97} +(-13.7497 - 23.8152i) q^{98} +(-0.805259 - 3.00527i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.62839i 1.15145i −0.817644 0.575725i \(-0.804720\pi\)
0.817644 0.575725i \(-0.195280\pi\)
\(3\) 0.474953 + 0.127263i 0.274214 + 0.0734755i 0.393306 0.919408i \(-0.371331\pi\)
−0.119091 + 0.992883i \(0.537998\pi\)
\(4\) −0.651670 −0.325835
\(5\) 2.37962 + 0.637618i 1.06420 + 0.285152i 0.748108 0.663577i \(-0.230962\pi\)
0.316092 + 0.948729i \(0.397629\pi\)
\(6\) 0.207235 0.773411i 0.0846033 0.315744i
\(7\) 4.72094 1.26497i 1.78435 0.478114i 0.792982 0.609245i \(-0.208527\pi\)
0.991365 + 0.131131i \(0.0418608\pi\)
\(8\) 2.19561i 0.776267i
\(9\) −2.38869 1.37911i −0.796231 0.459704i
\(10\) 1.03829 3.87497i 0.328337 1.22537i
\(11\) 0.797618 + 0.797618i 0.240491 + 0.240491i 0.817053 0.576562i \(-0.195606\pi\)
−0.576562 + 0.817053i \(0.695606\pi\)
\(12\) −0.309513 0.0829336i −0.0893486 0.0239409i
\(13\) −2.17279 + 3.76339i −0.602624 + 1.04378i 0.389798 + 0.920900i \(0.372545\pi\)
−0.992422 + 0.122875i \(0.960789\pi\)
\(14\) −2.05987 7.68755i −0.550524 2.05458i
\(15\) 1.04906 + 0.605678i 0.270867 + 0.156385i
\(16\) −4.87867 −1.21967
\(17\) −2.22128 + 3.47360i −0.538740 + 0.842472i
\(18\) −2.24574 + 3.88973i −0.529326 + 0.916819i
\(19\) 7.38769 4.26529i 1.69485 0.978524i 0.744359 0.667780i \(-0.232755\pi\)
0.950494 0.310744i \(-0.100578\pi\)
\(20\) −1.55073 0.415516i −0.346753 0.0929123i
\(21\) 2.40321 0.524423
\(22\) 1.29884 1.29884i 0.276913 0.276913i
\(23\) −0.586854 + 2.19017i −0.122368 + 0.456682i −0.999732 0.0231423i \(-0.992633\pi\)
0.877365 + 0.479824i \(0.159300\pi\)
\(24\) 0.279421 1.04281i 0.0570366 0.212863i
\(25\) 0.925925 + 0.534583i 0.185185 + 0.106917i
\(26\) 6.12828 + 3.53816i 1.20185 + 0.693891i
\(27\) −2.00208 2.00208i −0.385300 0.385300i
\(28\) −3.07649 + 0.824344i −0.581402 + 0.155786i
\(29\) 2.33255 + 8.70518i 0.433143 + 1.61651i 0.745472 + 0.666537i \(0.232224\pi\)
−0.312329 + 0.949974i \(0.601109\pi\)
\(30\) 0.986282 1.70829i 0.180070 0.311890i
\(31\) −7.40168 1.98327i −1.32938 0.356207i −0.476897 0.878959i \(-0.658239\pi\)
−0.852484 + 0.522753i \(0.824905\pi\)
\(32\) 3.55317i 0.628117i
\(33\) 0.277324 + 0.480338i 0.0482758 + 0.0836162i
\(34\) 5.65639 + 3.61712i 0.970064 + 0.620332i
\(35\) 12.0406 2.03524
\(36\) 1.55664 + 0.898725i 0.259440 + 0.149788i
\(37\) −4.59597 1.23149i −0.755572 0.202455i −0.139584 0.990210i \(-0.544577\pi\)
−0.615988 + 0.787755i \(0.711243\pi\)
\(38\) −6.94557 12.0301i −1.12672 1.95154i
\(39\) −1.51091 + 1.51091i −0.241940 + 0.241940i
\(40\) 1.39996 5.22474i 0.221354 0.826103i
\(41\) 0.206229 + 0.206229i 0.0322076 + 0.0322076i 0.723027 0.690820i \(-0.242750\pi\)
−0.690820 + 0.723027i \(0.742750\pi\)
\(42\) 3.91337i 0.603847i
\(43\) −6.29611 1.83277i −0.960147 0.279494i
\(44\) −0.519783 0.519783i −0.0783603 0.0783603i
\(45\) −4.80484 4.80484i −0.716263 0.716263i
\(46\) 3.56646 + 0.955630i 0.525846 + 0.140900i
\(47\) 11.0739 1.61529 0.807647 0.589666i \(-0.200741\pi\)
0.807647 + 0.589666i \(0.200741\pi\)
\(48\) −2.31714 0.620875i −0.334450 0.0896156i
\(49\) 14.6249 8.44371i 2.08928 1.20624i
\(50\) 0.870512 1.50777i 0.123109 0.213231i
\(51\) −1.49707 + 1.36711i −0.209631 + 0.191434i
\(52\) 1.41594 2.45248i 0.196356 0.340098i
\(53\) −5.56279 + 3.21168i −0.764107 + 0.441158i −0.830769 0.556618i \(-0.812099\pi\)
0.0666612 + 0.997776i \(0.478765\pi\)
\(54\) −3.26017 + 3.26017i −0.443653 + 0.443653i
\(55\) 1.38945 + 2.40661i 0.187354 + 0.324507i
\(56\) −2.77739 10.3654i −0.371144 1.38513i
\(57\) 4.05162 1.08563i 0.536650 0.143795i
\(58\) 14.1755 3.79830i 1.86133 0.498742i
\(59\) 4.07735i 0.530825i −0.964135 0.265413i \(-0.914492\pi\)
0.964135 0.265413i \(-0.0855082\pi\)
\(60\) −0.683643 0.394702i −0.0882580 0.0509558i
\(61\) −10.9289 + 2.92838i −1.39930 + 0.374941i −0.878093 0.478490i \(-0.841184\pi\)
−0.521206 + 0.853431i \(0.674518\pi\)
\(62\) −3.22955 + 12.0529i −0.410154 + 1.53071i
\(63\) −13.0214 3.48907i −1.64054 0.439582i
\(64\) −3.97138 −0.496422
\(65\) −7.57003 + 7.57003i −0.938947 + 0.938947i
\(66\) 0.782181 0.451592i 0.0962798 0.0555872i
\(67\) −4.01244 6.94975i −0.490198 0.849047i 0.509739 0.860329i \(-0.329742\pi\)
−0.999936 + 0.0112819i \(0.996409\pi\)
\(68\) 1.44754 2.26364i 0.175540 0.274507i
\(69\) −0.557456 + 0.965543i −0.0671099 + 0.116238i
\(70\) 19.6069i 2.34347i
\(71\) −0.793774 2.96240i −0.0942036 0.351573i 0.902694 0.430283i \(-0.141586\pi\)
−0.996898 + 0.0787107i \(0.974920\pi\)
\(72\) −3.02800 + 5.24465i −0.356853 + 0.618087i
\(73\) −0.341514 1.27455i −0.0399712 0.149175i 0.943056 0.332634i \(-0.107937\pi\)
−0.983027 + 0.183459i \(0.941271\pi\)
\(74\) −2.00534 + 7.48405i −0.233117 + 0.870003i
\(75\) 0.371738 + 0.371738i 0.0429246 + 0.0429246i
\(76\) −4.81433 + 2.77956i −0.552242 + 0.318837i
\(77\) 4.77447 + 2.75654i 0.544101 + 0.314137i
\(78\) 2.46037 + 2.46037i 0.278582 + 0.278582i
\(79\) −5.42869 + 1.45461i −0.610775 + 0.163657i −0.550931 0.834551i \(-0.685727\pi\)
−0.0598443 + 0.998208i \(0.519060\pi\)
\(80\) −11.6094 3.11073i −1.29797 0.347790i
\(81\) 3.44123 + 5.96039i 0.382359 + 0.662266i
\(82\) 0.335822 0.335822i 0.0370854 0.0370854i
\(83\) 7.37370 4.25721i 0.809369 0.467289i −0.0373680 0.999302i \(-0.511897\pi\)
0.846737 + 0.532012i \(0.178564\pi\)
\(84\) −1.56610 −0.170875
\(85\) −7.50065 + 6.84953i −0.813559 + 0.742936i
\(86\) −2.98447 + 10.2525i −0.321823 + 1.10556i
\(87\) 4.43140i 0.475096i
\(88\) 1.75126 1.75126i 0.186685 0.186685i
\(89\) 1.70905 + 2.96016i 0.181159 + 0.313776i 0.942275 0.334839i \(-0.108682\pi\)
−0.761117 + 0.648615i \(0.775349\pi\)
\(90\) −7.82418 + 7.82418i −0.824741 + 0.824741i
\(91\) −5.49704 + 20.5152i −0.576246 + 2.15058i
\(92\) 0.382435 1.42727i 0.0398716 0.148803i
\(93\) −3.26305 1.88393i −0.338363 0.195354i
\(94\) 18.0327i 1.85993i
\(95\) 20.2995 5.43925i 2.08269 0.558055i
\(96\) −0.452188 + 1.68759i −0.0461512 + 0.172239i
\(97\) −5.41456 + 5.41456i −0.549765 + 0.549765i −0.926373 0.376608i \(-0.877090\pi\)
0.376608 + 0.926373i \(0.377090\pi\)
\(98\) −13.7497 23.8152i −1.38893 2.40569i
\(99\) −0.805259 3.00527i −0.0809315 0.302041i
\(100\) −0.603397 0.348372i −0.0603397 0.0348372i
\(101\) 5.11524 8.85986i 0.508985 0.881589i −0.490960 0.871182i \(-0.663354\pi\)
0.999946 0.0104068i \(-0.00331265\pi\)
\(102\) 2.22620 + 2.43782i 0.220426 + 0.241380i
\(103\) −2.49864 + 4.32777i −0.246198 + 0.426428i −0.962468 0.271396i \(-0.912515\pi\)
0.716270 + 0.697824i \(0.245848\pi\)
\(104\) 8.26294 + 4.77061i 0.810248 + 0.467797i
\(105\) 5.71873 + 1.53233i 0.558091 + 0.149540i
\(106\) 5.22988 + 9.05841i 0.507970 + 0.879831i
\(107\) 5.44374 5.44374i 0.526266 0.526266i −0.393191 0.919457i \(-0.628629\pi\)
0.919457 + 0.393191i \(0.128629\pi\)
\(108\) 1.30469 + 1.30469i 0.125544 + 0.125544i
\(109\) −3.21615 + 12.0028i −0.308051 + 1.14966i 0.622236 + 0.782830i \(0.286224\pi\)
−0.930287 + 0.366832i \(0.880442\pi\)
\(110\) 3.91890 2.26258i 0.373653 0.215729i
\(111\) −2.02615 1.16980i −0.192313 0.111032i
\(112\) −23.0319 + 6.17137i −2.17631 + 0.583140i
\(113\) −1.09986 1.09986i −0.103466 0.103466i 0.653479 0.756945i \(-0.273309\pi\)
−0.756945 + 0.653479i \(0.773309\pi\)
\(114\) −1.76783 6.59764i −0.165573 0.617925i
\(115\) −2.79298 + 4.83759i −0.260447 + 0.451108i
\(116\) −1.52005 5.67290i −0.141133 0.526716i
\(117\) 10.3803 5.99304i 0.959655 0.554057i
\(118\) −6.63953 −0.611218
\(119\) −6.09253 + 19.2085i −0.558501 + 1.76084i
\(120\) 1.32983 2.30334i 0.121397 0.210265i
\(121\) 9.72761i 0.884328i
\(122\) 4.76856 + 17.7965i 0.431725 + 1.61122i
\(123\) 0.0717038 + 0.124195i 0.00646531 + 0.0111982i
\(124\) 4.82345 + 1.29244i 0.433159 + 0.116065i
\(125\) −6.84753 6.84753i −0.612462 0.612462i
\(126\) −5.68159 + 21.2040i −0.506156 + 1.88900i
\(127\) 10.0368i 0.890624i 0.895375 + 0.445312i \(0.146907\pi\)
−0.895375 + 0.445312i \(0.853093\pi\)
\(128\) 13.5733i 1.19972i
\(129\) −2.75711 1.67174i −0.242750 0.147189i
\(130\) 12.3270 + 12.3270i 1.08115 + 1.08115i
\(131\) −8.27154 + 8.27154i −0.722688 + 0.722688i −0.969152 0.246464i \(-0.920731\pi\)
0.246464 + 0.969152i \(0.420731\pi\)
\(132\) −0.180723 0.313022i −0.0157299 0.0272451i
\(133\) 29.4814 29.4814i 2.55636 2.55636i
\(134\) −11.3169 + 6.53384i −0.977635 + 0.564438i
\(135\) −3.48763 6.04075i −0.300167 0.519905i
\(136\) 7.62669 + 4.87708i 0.653983 + 0.418206i
\(137\) 16.2584 1.38905 0.694524 0.719469i \(-0.255615\pi\)
0.694524 + 0.719469i \(0.255615\pi\)
\(138\) 1.57228 + 0.907759i 0.133842 + 0.0772736i
\(139\) 8.17290 + 2.18992i 0.693216 + 0.185747i 0.588190 0.808723i \(-0.299841\pi\)
0.105026 + 0.994469i \(0.466507\pi\)
\(140\) −7.84651 −0.663151
\(141\) 5.25958 + 1.40930i 0.442937 + 0.118685i
\(142\) −4.82396 + 1.29258i −0.404818 + 0.108471i
\(143\) −4.73480 + 1.26869i −0.395944 + 0.106093i
\(144\) 11.6536 + 6.72823i 0.971136 + 0.560685i
\(145\) 22.2023i 1.84380i
\(146\) −2.07547 + 0.556120i −0.171767 + 0.0460248i
\(147\) 8.02073 2.14915i 0.661539 0.177259i
\(148\) 2.99505 + 0.802522i 0.246192 + 0.0659669i
\(149\) −1.39912 2.42335i −0.114621 0.198529i 0.803007 0.595969i \(-0.203232\pi\)
−0.917628 + 0.397440i \(0.869899\pi\)
\(150\) 0.605337 0.605337i 0.0494255 0.0494255i
\(151\) 4.65251i 0.378616i −0.981918 0.189308i \(-0.939376\pi\)
0.981918 0.189308i \(-0.0606245\pi\)
\(152\) −9.36492 16.2205i −0.759595 1.31566i
\(153\) 10.0964 5.23397i 0.816249 0.423141i
\(154\) 4.48874 7.77472i 0.361713 0.626505i
\(155\) −16.3486 9.43890i −1.31315 0.758150i
\(156\) 0.984617 0.984617i 0.0788325 0.0788325i
\(157\) 5.83004 10.0979i 0.465288 0.805902i −0.533927 0.845531i \(-0.679284\pi\)
0.999214 + 0.0396289i \(0.0126176\pi\)
\(158\) 2.36868 + 8.84004i 0.188442 + 0.703276i
\(159\) −3.05079 + 0.817457i −0.241943 + 0.0648285i
\(160\) −2.26556 + 8.45520i −0.179109 + 0.668442i
\(161\) 11.0820i 0.873385i
\(162\) 9.70587 5.60369i 0.762565 0.440267i
\(163\) 7.81376 2.09369i 0.612021 0.163991i 0.0605231 0.998167i \(-0.480723\pi\)
0.551498 + 0.834176i \(0.314056\pi\)
\(164\) −0.134393 0.134393i −0.0104944 0.0104944i
\(165\) 0.353653 + 1.31985i 0.0275319 + 0.102750i
\(166\) −6.93241 12.0073i −0.538060 0.931947i
\(167\) 4.52713 + 1.21304i 0.350319 + 0.0938678i 0.429688 0.902978i \(-0.358624\pi\)
−0.0793683 + 0.996845i \(0.525290\pi\)
\(168\) 5.27652i 0.407092i
\(169\) −2.94205 5.09577i −0.226311 0.391982i
\(170\) 11.1537 + 12.2140i 0.855453 + 0.936772i
\(171\) −23.5292 −1.79932
\(172\) 4.10298 + 1.19436i 0.312849 + 0.0910690i
\(173\) 4.32830 4.32830i 0.329075 0.329075i −0.523160 0.852235i \(-0.675247\pi\)
0.852235 + 0.523160i \(0.175247\pi\)
\(174\) 7.21607 0.547049
\(175\) 5.04747 + 1.35247i 0.381553 + 0.102237i
\(176\) −3.89131 3.89131i −0.293319 0.293319i
\(177\) 0.518897 1.93655i 0.0390027 0.145560i
\(178\) 4.82031 2.78301i 0.361297 0.208595i
\(179\) 6.39224 + 3.69056i 0.477779 + 0.275846i 0.719490 0.694503i \(-0.244375\pi\)
−0.241712 + 0.970348i \(0.577709\pi\)
\(180\) 3.13117 + 3.13117i 0.233384 + 0.233384i
\(181\) −15.3604 + 4.11580i −1.14173 + 0.305925i −0.779646 0.626220i \(-0.784601\pi\)
−0.362083 + 0.932146i \(0.617934\pi\)
\(182\) 33.4069 + 8.95135i 2.47628 + 0.663518i
\(183\) −5.56338 −0.411257
\(184\) 4.80877 + 1.28851i 0.354507 + 0.0949899i
\(185\) −10.1515 5.86094i −0.746350 0.430905i
\(186\) −3.06777 + 5.31354i −0.224940 + 0.389608i
\(187\) −4.54234 + 0.998872i −0.332169 + 0.0730448i
\(188\) −7.21652 −0.526319
\(189\) −11.9842 6.91911i −0.871726 0.503291i
\(190\) −8.85724 33.0557i −0.642572 2.39811i
\(191\) 6.28306 + 10.8826i 0.454626 + 0.787435i 0.998667 0.0516236i \(-0.0164396\pi\)
−0.544041 + 0.839059i \(0.683106\pi\)
\(192\) −1.88622 0.505410i −0.136126 0.0364748i
\(193\) 14.8434 + 14.8434i 1.06845 + 1.06845i 0.997478 + 0.0709694i \(0.0226093\pi\)
0.0709694 + 0.997478i \(0.477391\pi\)
\(194\) 8.81704 + 8.81704i 0.633026 + 0.633026i
\(195\) −4.55880 + 2.63202i −0.326462 + 0.188483i
\(196\) −9.53062 + 5.50251i −0.680759 + 0.393036i
\(197\) −14.2165 + 3.80929i −1.01288 + 0.271401i −0.726833 0.686815i \(-0.759008\pi\)
−0.286048 + 0.958215i \(0.592342\pi\)
\(198\) −4.89376 + 1.31128i −0.347784 + 0.0931886i
\(199\) 6.44412 6.44412i 0.456812 0.456812i −0.440796 0.897607i \(-0.645304\pi\)
0.897607 + 0.440796i \(0.145304\pi\)
\(200\) 1.17374 2.03297i 0.0829958 0.143753i
\(201\) −1.02127 3.81144i −0.0720351 0.268838i
\(202\) −14.4273 8.32963i −1.01510 0.586071i
\(203\) 22.0236 + 38.1460i 1.54575 + 2.67732i
\(204\) 0.975593 0.890904i 0.0683052 0.0623758i
\(205\) 0.359252 + 0.622243i 0.0250913 + 0.0434594i
\(206\) 7.04732 + 4.06877i 0.491010 + 0.283485i
\(207\) 4.42230 4.42230i 0.307371 0.307371i
\(208\) 10.6003 18.3603i 0.735000 1.27306i
\(209\) 9.29462 + 2.49049i 0.642922 + 0.172271i
\(210\) 2.49524 9.31236i 0.172188 0.642614i
\(211\) 3.61651 + 3.61651i 0.248971 + 0.248971i 0.820548 0.571578i \(-0.193668\pi\)
−0.571578 + 0.820548i \(0.693668\pi\)
\(212\) 3.62510 2.09295i 0.248973 0.143744i
\(213\) 1.50802i 0.103328i
\(214\) −8.86455 8.86455i −0.605968 0.605968i
\(215\) −13.8138 8.37581i −0.942091 0.571225i
\(216\) −4.39579 + 4.39579i −0.299095 + 0.299095i
\(217\) −37.4517 −2.54239
\(218\) 19.5453 + 5.23716i 1.32378 + 0.354705i
\(219\) 0.648813i 0.0438427i
\(220\) −0.905465 1.56831i −0.0610464 0.105736i
\(221\) −8.24612 15.9070i −0.554694 1.07002i
\(222\) −1.90489 + 3.29937i −0.127848 + 0.221439i
\(223\) 3.06384i 0.205170i −0.994724 0.102585i \(-0.967289\pi\)
0.994724 0.102585i \(-0.0327113\pi\)
\(224\) 4.49465 + 16.7743i 0.300312 + 1.12078i
\(225\) −1.47450 2.55391i −0.0983000 0.170261i
\(226\) −1.79100 + 1.79100i −0.119136 + 0.119136i
\(227\) −7.51505 + 28.0466i −0.498792 + 1.86152i 0.00887336 + 0.999961i \(0.497175\pi\)
−0.507665 + 0.861555i \(0.669491\pi\)
\(228\) −2.64032 + 0.707471i −0.174859 + 0.0468534i
\(229\) −19.2552 11.1170i −1.27242 0.734631i −0.296976 0.954885i \(-0.595978\pi\)
−0.975443 + 0.220254i \(0.929311\pi\)
\(230\) 7.87751 + 4.54808i 0.519427 + 0.299892i
\(231\) 1.91684 + 1.91684i 0.126119 + 0.126119i
\(232\) 19.1132 5.12137i 1.25484 0.336234i
\(233\) 0.262563 + 0.979900i 0.0172011 + 0.0641954i 0.973993 0.226578i \(-0.0727540\pi\)
−0.956792 + 0.290774i \(0.906087\pi\)
\(234\) −9.75904 16.9032i −0.637969 1.10499i
\(235\) 26.3517 + 7.06092i 1.71900 + 0.460604i
\(236\) 2.65708i 0.172961i
\(237\) −2.76349 −0.179508
\(238\) 31.2791 + 9.92104i 2.02752 + 0.643086i
\(239\) 3.34829 + 5.79940i 0.216583 + 0.375132i 0.953761 0.300566i \(-0.0971756\pi\)
−0.737178 + 0.675698i \(0.763842\pi\)
\(240\) −5.11803 2.95490i −0.330368 0.190738i
\(241\) −0.0484873 0.180957i −0.00312334 0.0116565i 0.964347 0.264643i \(-0.0852540\pi\)
−0.967470 + 0.252986i \(0.918587\pi\)
\(242\) −15.8404 −1.01826
\(243\) 3.07432 + 11.4735i 0.197218 + 0.736026i
\(244\) 7.12201 1.90834i 0.455940 0.122169i
\(245\) 40.1857 10.7677i 2.56737 0.687925i
\(246\) 0.202238 0.116762i 0.0128942 0.00744448i
\(247\) 37.0703i 2.35873i
\(248\) −4.35451 + 16.2512i −0.276511 + 1.03195i
\(249\) 4.04395 1.08357i 0.256275 0.0686686i
\(250\) −11.1505 + 11.1505i −0.705219 + 0.705219i
\(251\) −9.11353 + 15.7851i −0.575241 + 0.996347i 0.420774 + 0.907165i \(0.361758\pi\)
−0.996015 + 0.0891816i \(0.971575\pi\)
\(252\) 8.48565 + 2.27372i 0.534546 + 0.143231i
\(253\) −2.21500 + 1.27883i −0.139256 + 0.0803995i
\(254\) 16.3439 1.02551
\(255\) −4.43415 + 2.29865i −0.277677 + 0.143947i
\(256\) 14.1599 0.884996
\(257\) 31.1782i 1.94484i 0.233236 + 0.972420i \(0.425068\pi\)
−0.233236 + 0.972420i \(0.574932\pi\)
\(258\) −2.72226 + 4.48967i −0.169480 + 0.279514i
\(259\) −23.2551 −1.44500
\(260\) 4.93316 4.93316i 0.305941 0.305941i
\(261\) 6.43368 24.0108i 0.398235 1.48623i
\(262\) 13.4693 + 13.4693i 0.832138 + 0.832138i
\(263\) −6.34944 + 3.66585i −0.391523 + 0.226046i −0.682820 0.730587i \(-0.739247\pi\)
0.291297 + 0.956633i \(0.405913\pi\)
\(264\) 1.05464 0.608895i 0.0649085 0.0374749i
\(265\) −15.2852 + 4.09565i −0.938960 + 0.251594i
\(266\) −48.0073 48.0073i −2.94352 2.94352i
\(267\) 0.434999 + 1.62344i 0.0266215 + 0.0993527i
\(268\) 2.61479 + 4.52894i 0.159723 + 0.276649i
\(269\) 4.06853 4.06853i 0.248063 0.248063i −0.572112 0.820175i \(-0.693876\pi\)
0.820175 + 0.572112i \(0.193876\pi\)
\(270\) −9.83672 + 5.67923i −0.598644 + 0.345627i
\(271\) 4.44736 7.70305i 0.270158 0.467927i −0.698744 0.715372i \(-0.746257\pi\)
0.968902 + 0.247444i \(0.0795908\pi\)
\(272\) 10.8369 16.9465i 0.657083 1.02753i
\(273\) −5.22167 + 9.04420i −0.316030 + 0.547380i
\(274\) 26.4751i 1.59942i
\(275\) 0.312141 + 1.16493i 0.0188228 + 0.0702478i
\(276\) 0.363277 0.629215i 0.0218667 0.0378743i
\(277\) −14.1040 3.77915i −0.847427 0.227067i −0.191125 0.981566i \(-0.561214\pi\)
−0.656302 + 0.754498i \(0.727880\pi\)
\(278\) 3.56606 13.3087i 0.213878 0.798203i
\(279\) 14.9452 + 14.9452i 0.894745 + 0.894745i
\(280\) 26.4366i 1.57989i
\(281\) 10.3044 5.94924i 0.614708 0.354902i −0.160098 0.987101i \(-0.551181\pi\)
0.774806 + 0.632199i \(0.217848\pi\)
\(282\) 2.29490 8.56468i 0.136659 0.510019i
\(283\) 8.44056 2.26164i 0.501739 0.134441i 0.000932209 1.00000i \(-0.499703\pi\)
0.500807 + 0.865559i \(0.333037\pi\)
\(284\) 0.517278 + 1.93051i 0.0306948 + 0.114555i
\(285\) 10.3336 0.612107
\(286\) 2.06592 + 7.71012i 0.122160 + 0.455909i
\(287\) 1.23447 + 0.712721i 0.0728684 + 0.0420706i
\(288\) 4.90021 8.48742i 0.288748 0.500126i
\(289\) −7.13181 15.4317i −0.419518 0.907747i
\(290\) 36.1541 2.12304
\(291\) −3.26074 + 1.88259i −0.191148 + 0.110359i
\(292\) 0.222554 + 0.830584i 0.0130240 + 0.0486063i
\(293\) −3.13542 −0.183173 −0.0915867 0.995797i \(-0.529194\pi\)
−0.0915867 + 0.995797i \(0.529194\pi\)
\(294\) −3.49966 13.0609i −0.204104 0.761728i
\(295\) 2.59979 9.70255i 0.151366 0.564904i
\(296\) −2.70387 + 10.0910i −0.157159 + 0.586526i
\(297\) 3.19378i 0.185322i
\(298\) −3.94617 + 2.27833i −0.228596 + 0.131980i
\(299\) −6.96734 6.96734i −0.402932 0.402932i
\(300\) −0.242250 0.242250i −0.0139863 0.0139863i
\(301\) −32.0419 0.687983i −1.84687 0.0396547i
\(302\) −7.57613 −0.435957
\(303\) 3.55703 3.55703i 0.204346 0.204346i
\(304\) −36.0421 + 20.8089i −2.06715 + 1.19347i
\(305\) −27.8738 −1.59605
\(306\) −8.52296 16.4410i −0.487225 0.939869i
\(307\) −6.41834 11.1169i −0.366314 0.634474i 0.622672 0.782483i \(-0.286047\pi\)
−0.988986 + 0.148009i \(0.952714\pi\)
\(308\) −3.11138 1.79635i −0.177287 0.102357i
\(309\) −1.73750 + 1.73750i −0.0988431 + 0.0988431i
\(310\) −15.3702 + 26.6221i −0.872971 + 1.51203i
\(311\) −9.49929 2.54533i −0.538655 0.144332i −0.0207731 0.999784i \(-0.506613\pi\)
−0.517882 + 0.855452i \(0.673279\pi\)
\(312\) 3.31739 + 3.31739i 0.187810 + 0.187810i
\(313\) 1.11218 4.15069i 0.0628639 0.234611i −0.927344 0.374209i \(-0.877914\pi\)
0.990208 + 0.139598i \(0.0445810\pi\)
\(314\) −16.4434 9.49360i −0.927955 0.535755i
\(315\) −28.7613 16.6054i −1.62052 0.935607i
\(316\) 3.53771 0.947927i 0.199012 0.0533250i
\(317\) 3.72146 + 3.72146i 0.209018 + 0.209018i 0.803850 0.594832i \(-0.202781\pi\)
−0.594832 + 0.803850i \(0.702781\pi\)
\(318\) 1.33114 + 4.96789i 0.0746468 + 0.278586i
\(319\) −5.08292 + 8.80388i −0.284589 + 0.492923i
\(320\) −9.45038 2.53222i −0.528292 0.141555i
\(321\) 3.27831 1.89273i 0.182977 0.105642i
\(322\) 18.0459 1.00566
\(323\) −1.59424 + 35.1363i −0.0887060 + 1.95504i
\(324\) −2.24255 3.88421i −0.124586 0.215789i
\(325\) −4.02368 + 2.32308i −0.223194 + 0.128861i
\(326\) −3.40936 12.7239i −0.188827 0.704711i
\(327\) −3.05504 + 5.29148i −0.168944 + 0.292620i
\(328\) 0.452800 0.452800i 0.0250017 0.0250017i
\(329\) 52.2792 14.0082i 2.88225 0.772295i
\(330\) 2.14924 0.575887i 0.118312 0.0317015i
\(331\) −2.02174 1.16725i −0.111125 0.0641579i 0.443408 0.896320i \(-0.353769\pi\)
−0.554532 + 0.832162i \(0.687103\pi\)
\(332\) −4.80522 + 2.77429i −0.263720 + 0.152259i
\(333\) 9.27999 + 9.27999i 0.508540 + 0.508540i
\(334\) 1.97531 7.37195i 0.108084 0.403375i
\(335\) −5.11681 19.0962i −0.279561 1.04334i
\(336\) −11.7245 −0.639621
\(337\) −2.90597 10.8452i −0.158298 0.590778i −0.998800 0.0489692i \(-0.984406\pi\)
0.840502 0.541809i \(-0.182260\pi\)
\(338\) −8.29793 + 4.79081i −0.451348 + 0.260586i
\(339\) −0.382409 0.662352i −0.0207696 0.0359740i
\(340\) 4.88794 4.46363i 0.265086 0.242075i
\(341\) −4.32182 7.48561i −0.234040 0.405368i
\(342\) 38.3149i 2.07183i
\(343\) 34.1706 34.1706i 1.84504 1.84504i
\(344\) −4.02405 + 13.8238i −0.216962 + 0.745331i
\(345\) −1.94218 + 1.94218i −0.104564 + 0.104564i
\(346\) −7.04819 7.04819i −0.378913 0.378913i
\(347\) 2.76365 10.3141i 0.148360 0.553689i −0.851222 0.524805i \(-0.824138\pi\)
0.999583 0.0288835i \(-0.00919518\pi\)
\(348\) 2.88781i 0.154803i
\(349\) 6.11087 3.52811i 0.327108 0.188856i −0.327449 0.944869i \(-0.606189\pi\)
0.654556 + 0.756013i \(0.272856\pi\)
\(350\) 2.20235 8.21927i 0.117720 0.439339i
\(351\) 11.8847 3.18449i 0.634357 0.169975i
\(352\) −2.83407 + 2.83407i −0.151056 + 0.151056i
\(353\) 3.80836 6.59627i 0.202698 0.351084i −0.746699 0.665163i \(-0.768362\pi\)
0.949397 + 0.314079i \(0.101696\pi\)
\(354\) −3.15347 0.844969i −0.167605 0.0449096i
\(355\) 7.55553i 0.401006i
\(356\) −1.11374 1.92905i −0.0590279 0.102239i
\(357\) −5.33820 + 8.34779i −0.282528 + 0.441812i
\(358\) 6.00969 10.4091i 0.317622 0.550138i
\(359\) 0.421242 + 0.243204i 0.0222323 + 0.0128358i 0.511075 0.859536i \(-0.329247\pi\)
−0.488843 + 0.872372i \(0.662581\pi\)
\(360\) −10.5496 + 10.5496i −0.556011 + 0.556011i
\(361\) 26.8853 46.5667i 1.41502 2.45088i
\(362\) 6.70216 + 25.0128i 0.352257 + 1.31464i
\(363\) 1.23797 4.62016i 0.0649765 0.242495i
\(364\) 3.58225 13.3692i 0.187761 0.700734i
\(365\) 3.25070i 0.170149i
\(366\) 9.05937i 0.473541i
\(367\) 5.59246 20.8713i 0.291924 1.08947i −0.651706 0.758472i \(-0.725946\pi\)
0.943630 0.331003i \(-0.107387\pi\)
\(368\) 2.86307 10.6851i 0.149248 0.557000i
\(369\) −0.208205 0.777031i −0.0108387 0.0404506i
\(370\) −9.54393 + 16.5306i −0.496165 + 0.859384i
\(371\) −22.1989 + 22.1989i −1.15251 + 1.15251i
\(372\) 2.12643 + 1.22770i 0.110250 + 0.0636531i
\(373\) −1.28414 + 2.22420i −0.0664904 + 0.115165i −0.897354 0.441311i \(-0.854513\pi\)
0.830864 + 0.556476i \(0.187847\pi\)
\(374\) 1.62656 + 7.39672i 0.0841073 + 0.382475i
\(375\) −2.38082 4.12370i −0.122945 0.212947i
\(376\) 24.3140i 1.25390i
\(377\) −37.8291 10.1363i −1.94830 0.522044i
\(378\) −11.2670 + 19.5151i −0.579514 + 1.00375i
\(379\) −13.6227 + 13.6227i −0.699753 + 0.699753i −0.964357 0.264604i \(-0.914759\pi\)
0.264604 + 0.964357i \(0.414759\pi\)
\(380\) −13.2286 + 3.54459i −0.678613 + 0.181834i
\(381\) −1.27732 + 4.76702i −0.0654390 + 0.244222i
\(382\) 17.7211 10.2313i 0.906692 0.523479i
\(383\) 2.01890i 0.103161i 0.998669 + 0.0515805i \(0.0164259\pi\)
−0.998669 + 0.0515805i \(0.983574\pi\)
\(384\) −1.72738 + 6.44668i −0.0881501 + 0.328981i
\(385\) 9.60382 + 9.60382i 0.489456 + 0.489456i
\(386\) 24.1708 24.1708i 1.23026 1.23026i
\(387\) 12.5119 + 13.0610i 0.636014 + 0.663925i
\(388\) 3.52850 3.52850i 0.179133 0.179133i
\(389\) 8.49678i 0.430804i −0.976525 0.215402i \(-0.930894\pi\)
0.976525 0.215402i \(-0.0691062\pi\)
\(390\) 4.28597 + 7.42352i 0.217029 + 0.375905i
\(391\) −6.30421 6.90348i −0.318817 0.349124i
\(392\) −18.5391 32.1107i −0.936367 1.62184i
\(393\) −4.98126 + 2.87593i −0.251271 + 0.145071i
\(394\) 6.20303 + 23.1500i 0.312504 + 1.16628i
\(395\) −13.8457 −0.696654
\(396\) 0.524763 + 1.95844i 0.0263703 + 0.0984154i
\(397\) −2.78005 + 10.3753i −0.139526 + 0.520720i 0.860412 + 0.509600i \(0.170206\pi\)
−0.999938 + 0.0111204i \(0.996460\pi\)
\(398\) −10.4936 10.4936i −0.525996 0.525996i
\(399\) 17.7542 10.2504i 0.888820 0.513160i
\(400\) −4.51728 2.60805i −0.225864 0.130403i
\(401\) 3.78362 1.01382i 0.188945 0.0506277i −0.163106 0.986609i \(-0.552151\pi\)
0.352051 + 0.935981i \(0.385484\pi\)
\(402\) −6.20653 + 1.66304i −0.309554 + 0.0829447i
\(403\) 23.5461 23.5461i 1.17292 1.17292i
\(404\) −3.33345 + 5.77370i −0.165845 + 0.287252i
\(405\) 4.38839 + 16.3777i 0.218061 + 0.813814i
\(406\) 62.1168 35.8631i 3.08280 1.77986i
\(407\) −2.68357 4.64808i −0.133020 0.230397i
\(408\) 3.00165 + 3.28698i 0.148604 + 0.162730i
\(409\) 25.8639 1.27889 0.639444 0.768837i \(-0.279164\pi\)
0.639444 + 0.768837i \(0.279164\pi\)
\(410\) 1.01326 0.585005i 0.0500412 0.0288913i
\(411\) 7.72198 + 2.06910i 0.380897 + 0.102061i
\(412\) 1.62829 2.82028i 0.0802200 0.138945i
\(413\) −5.15773 19.2489i −0.253795 0.947177i
\(414\) −7.20125 7.20125i −0.353922 0.353922i
\(415\) 20.2611 5.42895i 0.994578 0.266496i
\(416\) −13.3719 7.72029i −0.655613 0.378518i
\(417\) 3.60305 + 2.08022i 0.176442 + 0.101869i
\(418\) 4.05549 15.1353i 0.198361 0.740292i
\(419\) −10.3812 10.3812i −0.507154 0.507154i 0.406498 0.913652i \(-0.366750\pi\)
−0.913652 + 0.406498i \(0.866750\pi\)
\(420\) −3.72672 0.998573i −0.181846 0.0487254i
\(421\) −16.2602 + 28.1635i −0.792475 + 1.37261i 0.131955 + 0.991256i \(0.457875\pi\)
−0.924430 + 0.381351i \(0.875459\pi\)
\(422\) 5.88910 5.88910i 0.286677 0.286677i
\(423\) −26.4521 15.2721i −1.28615 0.742557i
\(424\) 7.05160 + 12.2137i 0.342456 + 0.593151i
\(425\) −3.91367 + 2.02884i −0.189841 + 0.0984130i
\(426\) −2.45565 −0.118977
\(427\) −47.8902 + 27.6494i −2.31757 + 1.33805i
\(428\) −3.54752 + 3.54752i −0.171476 + 0.171476i
\(429\) −2.41026 −0.116369
\(430\) −13.6391 + 22.4943i −0.657737 + 1.08477i
\(431\) −21.9906 21.9906i −1.05925 1.05925i −0.998131 0.0611179i \(-0.980533\pi\)
−0.0611179 0.998131i \(-0.519467\pi\)
\(432\) 9.76746 + 9.76746i 0.469937 + 0.469937i
\(433\) 28.8285 16.6442i 1.38541 0.799867i 0.392617 0.919702i \(-0.371570\pi\)
0.992794 + 0.119835i \(0.0382364\pi\)
\(434\) 60.9861i 2.92743i
\(435\) −2.82554 + 10.5451i −0.135474 + 0.505597i
\(436\) 2.09587 7.82188i 0.100374 0.374600i
\(437\) 5.00620 + 18.6834i 0.239479 + 0.893748i
\(438\) −1.05652 −0.0504826
\(439\) −3.24242 12.1009i −0.154752 0.577544i −0.999126 0.0417896i \(-0.986694\pi\)
0.844374 0.535754i \(-0.179973\pi\)
\(440\) 5.28398 3.05071i 0.251904 0.145437i
\(441\) −46.5793 −2.21806
\(442\) −25.9028 + 13.4279i −1.23207 + 0.638702i
\(443\) −4.07236 + 7.05354i −0.193484 + 0.335124i −0.946402 0.322990i \(-0.895312\pi\)
0.752919 + 0.658114i \(0.228645\pi\)
\(444\) 1.32038 + 0.762320i 0.0626624 + 0.0361781i
\(445\) 2.17944 + 8.13379i 0.103315 + 0.385579i
\(446\) −4.98914 −0.236242
\(447\) −0.356114 1.32904i −0.0168436 0.0628612i
\(448\) −18.7486 + 5.02368i −0.885789 + 0.237346i
\(449\) −5.84339 + 21.8078i −0.275767 + 1.02918i 0.679559 + 0.733621i \(0.262171\pi\)
−0.955326 + 0.295555i \(0.904496\pi\)
\(450\) −4.15877 + 2.40107i −0.196046 + 0.113187i
\(451\) 0.328984i 0.0154913i
\(452\) 0.716743 + 0.716743i 0.0337128 + 0.0337128i
\(453\) 0.592094 2.20972i 0.0278190 0.103822i
\(454\) 45.6709 + 12.2375i 2.14344 + 0.574333i
\(455\) −26.1618 + 45.3135i −1.22648 + 2.12433i
\(456\) −2.38362 8.89580i −0.111623 0.416584i
\(457\) 25.0323i 1.17096i −0.810687 0.585480i \(-0.800906\pi\)
0.810687 0.585480i \(-0.199094\pi\)
\(458\) −18.1028 + 31.3550i −0.845890 + 1.46513i
\(459\) 11.4016 2.50724i 0.532181 0.117028i
\(460\) 1.82010 3.15251i 0.0848627 0.146987i
\(461\) 24.8328 14.3372i 1.15658 0.667751i 0.206097 0.978532i \(-0.433924\pi\)
0.950482 + 0.310781i \(0.100590\pi\)
\(462\) 3.12138 3.12138i 0.145220 0.145220i
\(463\) −5.38165 9.32130i −0.250107 0.433197i 0.713448 0.700708i \(-0.247132\pi\)
−0.963555 + 0.267510i \(0.913799\pi\)
\(464\) −11.3797 42.4697i −0.528290 1.97160i
\(465\) −6.56362 6.56362i −0.304380 0.304380i
\(466\) 1.59566 0.427557i 0.0739177 0.0198062i
\(467\) 12.0311 6.94616i 0.556733 0.321430i −0.195100 0.980783i \(-0.562503\pi\)
0.751833 + 0.659353i \(0.229170\pi\)
\(468\) −6.76450 + 3.90549i −0.312689 + 0.180531i
\(469\) −27.7337 27.7337i −1.28062 1.28062i
\(470\) 11.4980 42.9110i 0.530362 1.97934i
\(471\) 4.05409 4.05409i 0.186803 0.186803i
\(472\) −8.95228 −0.412062
\(473\) −3.56004 6.48373i −0.163691 0.298122i
\(474\) 4.50005i 0.206694i
\(475\) 9.12060 0.418482
\(476\) 3.97032 12.5176i 0.181979 0.573744i
\(477\) 17.7170 0.811208
\(478\) 9.44371 5.45233i 0.431945 0.249384i
\(479\) −32.2006 8.62814i −1.47128 0.394230i −0.567913 0.823088i \(-0.692249\pi\)
−0.903372 + 0.428859i \(0.858916\pi\)
\(480\) −2.15207 + 3.72750i −0.0982282 + 0.170136i
\(481\) 14.6206 14.6206i 0.666643 0.666643i
\(482\) −0.294670 + 0.0789565i −0.0134218 + 0.00359637i
\(483\) −1.41033 + 5.26344i −0.0641724 + 0.239495i
\(484\) 6.33919i 0.288145i
\(485\) −16.3370 + 9.43219i −0.741826 + 0.428294i
\(486\) 18.6834 5.00620i 0.847496 0.227086i
\(487\) 15.9211 4.26605i 0.721455 0.193313i 0.120634 0.992697i \(-0.461507\pi\)
0.600821 + 0.799384i \(0.294841\pi\)
\(488\) 6.42960 + 23.9956i 0.291054 + 1.08623i
\(489\) 3.97762 0.179874
\(490\) −17.5341 65.4382i −0.792110 2.95620i
\(491\) −1.32781 0.766614i −0.0599234 0.0345968i 0.469739 0.882805i \(-0.344348\pi\)
−0.529662 + 0.848209i \(0.677681\pi\)
\(492\) −0.0467272 0.0809338i −0.00210662 0.00364878i
\(493\) −35.4196 11.2343i −1.59522 0.505968i
\(494\) 60.3651 2.71595
\(495\) 7.66485i 0.344509i
\(496\) 36.1103 + 9.67574i 1.62140 + 0.434453i
\(497\) −7.49471 12.9812i −0.336184 0.582287i
\(498\) −1.76448 6.58514i −0.0790684 0.295087i
\(499\) 39.0801 10.4715i 1.74946 0.468768i 0.764953 0.644087i \(-0.222762\pi\)
0.984512 + 0.175319i \(0.0560957\pi\)
\(500\) 4.46233 + 4.46233i 0.199561 + 0.199561i
\(501\) 1.99580 + 1.15227i 0.0891656 + 0.0514798i
\(502\) 25.7044 + 14.8404i 1.14724 + 0.662361i
\(503\) −18.4370 + 4.94019i −0.822067 + 0.220272i −0.645250 0.763972i \(-0.723247\pi\)
−0.176817 + 0.984244i \(0.556580\pi\)
\(504\) −7.66066 + 28.5900i −0.341233 + 1.27350i
\(505\) 17.8216 17.8216i 0.793049 0.793049i
\(506\) 2.08244 + 3.60690i 0.0925759 + 0.160346i
\(507\) −0.748829 2.79467i −0.0332567 0.124116i
\(508\) 6.54069i 0.290196i
\(509\) 19.8800 34.4332i 0.881166 1.52622i 0.0311206 0.999516i \(-0.490092\pi\)
0.850046 0.526709i \(-0.176574\pi\)
\(510\) 3.74311 + 7.22055i 0.165748 + 0.319731i
\(511\) −3.22453 5.58506i −0.142645 0.247068i
\(512\) 4.08863i 0.180693i
\(513\) −23.3301 6.25129i −1.03005 0.276001i
\(514\) 50.7704 2.23938
\(515\) −8.70529 + 8.70529i −0.383601 + 0.383601i
\(516\) 1.79673 + 1.08942i 0.0790964 + 0.0479592i
\(517\) 8.83274 + 8.83274i 0.388463 + 0.388463i
\(518\) 37.8684i 1.66384i
\(519\) 2.60658 1.50491i 0.114416 0.0660581i
\(520\) 16.6209 + 16.6209i 0.728873 + 0.728873i
\(521\) 7.48956 27.9514i 0.328124 1.22457i −0.583011 0.812465i \(-0.698125\pi\)
0.911134 0.412110i \(-0.135208\pi\)
\(522\) −39.0991 10.4766i −1.71132 0.458547i
\(523\) 7.72274 13.3762i 0.337692 0.584900i −0.646306 0.763078i \(-0.723687\pi\)
0.983998 + 0.178179i \(0.0570205\pi\)
\(524\) 5.39031 5.39031i 0.235477 0.235477i
\(525\) 2.22519 + 1.28471i 0.0971153 + 0.0560696i
\(526\) 5.96945 + 10.3394i 0.260281 + 0.450819i
\(527\) 23.3303 21.3051i 1.01629 0.928064i
\(528\) −1.35297 2.34341i −0.0588804 0.101984i
\(529\) 15.4661 + 8.92938i 0.672441 + 0.388234i
\(530\) 6.66933 + 24.8903i 0.289697 + 1.08116i
\(531\) −5.62312 + 9.73953i −0.244023 + 0.422659i
\(532\) −19.2121 + 19.2121i −0.832951 + 0.832951i
\(533\) −1.22421 + 0.328027i −0.0530265 + 0.0142084i
\(534\) 2.64360 0.708349i 0.114400 0.0306533i
\(535\) 16.4251 9.48302i 0.710118 0.409987i
\(536\) −15.2590 + 8.80977i −0.659087 + 0.380524i
\(537\) 2.56634 + 2.56634i 0.110746 + 0.110746i
\(538\) −6.62517 6.62517i −0.285632 0.285632i
\(539\) 18.4000 + 4.93025i 0.792542 + 0.212361i
\(540\) 2.27278 + 3.93657i 0.0978049 + 0.169403i
\(541\) 12.0009 + 44.7880i 0.515960 + 1.92559i 0.335696 + 0.941970i \(0.391028\pi\)
0.180264 + 0.983618i \(0.442305\pi\)
\(542\) −12.5436 7.24206i −0.538794 0.311073i
\(543\) −7.81926 −0.335556
\(544\) −12.3423 7.89258i −0.529171 0.338392i
\(545\) −15.3064 + 26.5115i −0.655656 + 1.13563i
\(546\) 14.7275 + 8.50294i 0.630280 + 0.363892i
\(547\) 29.6381 + 7.94149i 1.26723 + 0.339554i 0.828970 0.559293i \(-0.188927\pi\)
0.438262 + 0.898847i \(0.355594\pi\)
\(548\) −10.5951 −0.452600
\(549\) 30.1443 + 8.07713i 1.28653 + 0.344724i
\(550\) 1.89696 0.508289i 0.0808867 0.0216735i
\(551\) 54.3622 + 54.3622i 2.31591 + 2.31591i
\(552\) 2.11996 + 1.22396i 0.0902315 + 0.0520952i
\(553\) −23.7885 + 13.7343i −1.01159 + 0.584041i
\(554\) −6.15395 + 22.9669i −0.261456 + 0.975768i
\(555\) −4.07558 4.07558i −0.172999 0.172999i
\(556\) −5.32603 1.42711i −0.225874 0.0605228i
\(557\) 33.2312 1.40805 0.704026 0.710174i \(-0.251384\pi\)
0.704026 + 0.710174i \(0.251384\pi\)
\(558\) 24.3367 24.3367i 1.03025 1.03025i
\(559\) 20.5775 19.7125i 0.870337 0.833748i
\(560\) −58.7422 −2.48231
\(561\) −2.28452 0.103656i −0.0964524 0.00437634i
\(562\) −9.68771 16.7796i −0.408651 0.707805i
\(563\) 31.0905i 1.31031i −0.755495 0.655155i \(-0.772603\pi\)
0.755495 0.655155i \(-0.227397\pi\)
\(564\) −3.42751 0.918399i −0.144324 0.0386716i
\(565\) −1.91596 3.31853i −0.0806049 0.139612i
\(566\) −3.68285 13.7446i −0.154802 0.577727i
\(567\) 23.7856 + 23.7856i 0.998901 + 0.998901i
\(568\) −6.50430 + 1.74282i −0.272914 + 0.0731271i
\(569\) −2.42863 + 1.40217i −0.101813 + 0.0587820i −0.550042 0.835137i \(-0.685388\pi\)
0.448229 + 0.893919i \(0.352055\pi\)
\(570\) 16.8271i 0.704810i
\(571\) 8.05925 30.0775i 0.337269 1.25871i −0.564119 0.825694i \(-0.690784\pi\)
0.901388 0.433012i \(-0.142549\pi\)
\(572\) 3.08552 0.826764i 0.129012 0.0345687i
\(573\) 1.59920 + 5.96831i 0.0668077 + 0.249330i
\(574\) 1.16059 2.01020i 0.0484421 0.0839043i
\(575\) −1.71421 + 1.71421i −0.0714875 + 0.0714875i
\(576\) 9.48639 + 5.47697i 0.395266 + 0.228207i
\(577\) −17.5238 + 30.3521i −0.729525 + 1.26357i 0.227560 + 0.973764i \(0.426925\pi\)
−0.957084 + 0.289810i \(0.906408\pi\)
\(578\) −25.1289 + 11.6134i −1.04522 + 0.483054i
\(579\) 5.16088 + 8.93891i 0.214479 + 0.371488i
\(580\) 14.4686i 0.600775i
\(581\) 29.4255 29.4255i 1.22078 1.22078i
\(582\) 3.06559 + 5.30977i 0.127073 + 0.220097i
\(583\) −6.99867 1.87529i −0.289855 0.0776664i
\(584\) −2.79842 + 0.749833i −0.115799 + 0.0310283i
\(585\) 28.5224 7.64255i 1.17926 0.315981i
\(586\) 5.10571i 0.210915i
\(587\) 2.71891 + 1.56976i 0.112221 + 0.0647910i 0.555060 0.831810i \(-0.312695\pi\)
−0.442839 + 0.896601i \(0.646029\pi\)
\(588\) −5.22687 + 1.40053i −0.215552 + 0.0577571i
\(589\) −63.1406 + 16.9185i −2.60166 + 0.697113i
\(590\) −15.7996 4.23349i −0.650459 0.174290i
\(591\) −7.23693 −0.297688
\(592\) 22.4222 + 6.00801i 0.921546 + 0.246928i
\(593\) −21.7257 12.5433i −0.892167 0.515093i −0.0175161 0.999847i \(-0.505576\pi\)
−0.874651 + 0.484754i \(0.838909\pi\)
\(594\) −5.20074 −0.213389
\(595\) −26.7456 + 41.8243i −1.09646 + 1.71463i
\(596\) 0.911766 + 1.57923i 0.0373474 + 0.0646876i
\(597\) 3.88076 2.24056i 0.158829 0.0916999i
\(598\) −11.3456 + 11.3456i −0.463955 + 0.463955i
\(599\) −9.19932 15.9337i −0.375874 0.651033i 0.614583 0.788852i \(-0.289324\pi\)
−0.990457 + 0.137819i \(0.955991\pi\)
\(600\) 0.816194 0.816194i 0.0333210 0.0333210i
\(601\) −1.69944 1.69944i −0.0693216 0.0693216i 0.671596 0.740918i \(-0.265609\pi\)
−0.740918 + 0.671596i \(0.765609\pi\)
\(602\) −1.12031 + 52.1769i −0.0456603 + 2.12657i
\(603\) 22.1344i 0.901383i
\(604\) 3.03190i 0.123366i
\(605\) 6.20250 23.1481i 0.252168 0.941102i
\(606\) −5.79226 5.79226i −0.235294 0.235294i
\(607\) 29.5920 + 7.92915i 1.20110 + 0.321834i 0.803265 0.595622i \(-0.203094\pi\)
0.397837 + 0.917456i \(0.369761\pi\)
\(608\) 15.1553 + 26.2497i 0.614627 + 1.06457i
\(609\) 5.60559 + 20.9204i 0.227150 + 0.847736i
\(610\) 45.3895i 1.83777i
\(611\) −24.0613 + 41.6753i −0.973415 + 1.68600i
\(612\) −6.57954 + 3.41082i −0.265962 + 0.137874i
\(613\) −20.5942 −0.831790 −0.415895 0.909413i \(-0.636532\pi\)
−0.415895 + 0.909413i \(0.636532\pi\)
\(614\) −18.1027 + 10.4516i −0.730565 + 0.421792i
\(615\) 0.0914393 + 0.341256i 0.00368719 + 0.0137608i
\(616\) 6.05230 10.4829i 0.243854 0.422368i
\(617\) 5.45428 + 20.3557i 0.219581 + 0.819488i 0.984503 + 0.175365i \(0.0561106\pi\)
−0.764922 + 0.644123i \(0.777223\pi\)
\(618\) 2.82934 + 2.82934i 0.113813 + 0.113813i
\(619\) −8.57635 + 2.29803i −0.344713 + 0.0923655i −0.427022 0.904241i \(-0.640437\pi\)
0.0823090 + 0.996607i \(0.473771\pi\)
\(620\) 10.6539 + 6.15104i 0.427872 + 0.247032i
\(621\) 5.55981 3.20996i 0.223108 0.128811i
\(622\) −4.14480 + 15.4686i −0.166191 + 0.620234i
\(623\) 11.8128 + 11.8128i 0.473271 + 0.473271i
\(624\) 7.37125 7.37125i 0.295086 0.295086i
\(625\) −14.6014 25.2903i −0.584054 1.01161i
\(626\) −6.75897 1.81106i −0.270143 0.0723845i
\(627\) 4.09756 + 2.36573i 0.163641 + 0.0944781i
\(628\) −3.79926 + 6.58051i −0.151607 + 0.262591i
\(629\) 14.4866 13.2291i 0.577620 0.527478i
\(630\) −27.0401 + 46.8348i −1.07730 + 1.86594i
\(631\) −13.3686 7.71839i −0.532197 0.307264i 0.209714 0.977763i \(-0.432747\pi\)
−0.741911 + 0.670499i \(0.766080\pi\)
\(632\) 3.19377 + 11.9193i 0.127041 + 0.474124i
\(633\) 1.25742 + 2.17792i 0.0499780 + 0.0865645i
\(634\) 6.06001 6.06001i 0.240674 0.240674i
\(635\) −6.39966 + 23.8839i −0.253963 + 0.947802i
\(636\) 1.98811 0.532712i 0.0788336 0.0211234i
\(637\) 73.3857i 2.90765i
\(638\) 14.3362 + 8.27701i 0.567575 + 0.327690i
\(639\) −2.18941 + 8.17097i −0.0866115 + 0.323239i
\(640\) −8.65458 + 32.2993i −0.342102 + 1.27674i
\(641\) 5.08232 5.08232i 0.200739 0.200739i −0.599577 0.800317i \(-0.704665\pi\)
0.800317 + 0.599577i \(0.204665\pi\)
\(642\) −3.08211 5.33838i −0.121641 0.210689i
\(643\) −7.78974 + 7.78974i −0.307197 + 0.307197i −0.843821 0.536624i \(-0.819699\pi\)
0.536624 + 0.843821i \(0.319699\pi\)
\(644\) 7.22181i 0.284579i
\(645\) −5.49496 5.73610i −0.216364 0.225859i
\(646\) 57.2158 + 2.59606i 2.25112 + 0.102140i
\(647\) 22.8305 0.897560 0.448780 0.893642i \(-0.351859\pi\)
0.448780 + 0.893642i \(0.351859\pi\)
\(648\) 13.0867 7.55562i 0.514095 0.296813i
\(649\) 3.25216 3.25216i 0.127659 0.127659i
\(650\) 3.78288 + 6.55215i 0.148377 + 0.256996i
\(651\) −17.7878 4.76622i −0.697158 0.186803i
\(652\) −5.09199 + 1.36439i −0.199418 + 0.0534338i
\(653\) −26.3132 26.3132i −1.02971 1.02971i −0.999545 0.0301695i \(-0.990395\pi\)
−0.0301695 0.999545i \(-0.509605\pi\)
\(654\) 8.61662 + 4.97481i 0.336937 + 0.194530i
\(655\) −24.9572 + 14.4091i −0.975160 + 0.563009i
\(656\) −1.00612 1.00612i −0.0392825 0.0392825i
\(657\) −0.941972 + 3.51549i −0.0367498 + 0.137152i
\(658\) −22.8108 85.1312i −0.889259 3.31876i
\(659\) 18.9508 32.8237i 0.738218 1.27863i −0.215079 0.976597i \(-0.569001\pi\)
0.953297 0.302034i \(-0.0976657\pi\)
\(660\) −0.230465 0.860107i −0.00897084 0.0334796i
\(661\) 1.41177i 0.0549115i 0.999623 + 0.0274557i \(0.00874053\pi\)
−0.999623 + 0.0274557i \(0.991259\pi\)
\(662\) −1.90075 + 3.29219i −0.0738746 + 0.127954i
\(663\) −1.89215 8.60448i −0.0734850 0.334170i
\(664\) −9.34718 16.1898i −0.362741 0.628286i
\(665\) 88.9524 51.3567i 3.44943 1.99153i
\(666\) 15.1115 15.1115i 0.585558 0.585558i
\(667\) −20.4347 −0.791234
\(668\) −2.95019 0.790501i −0.114146 0.0305854i
\(669\) 0.389914 1.45518i 0.0150749 0.0562605i
\(670\) −31.0962 + 8.33219i −1.20135 + 0.321901i
\(671\) −11.0528 6.38133i −0.426688 0.246349i
\(672\) 8.53900i 0.329399i
\(673\) 43.9708 11.7819i 1.69495 0.454160i 0.723290 0.690544i \(-0.242629\pi\)
0.971660 + 0.236384i \(0.0759623\pi\)
\(674\) −17.6603 + 4.73207i −0.680251 + 0.182273i
\(675\) −0.783496 2.92405i −0.0301568 0.112547i
\(676\) 1.91724 + 3.32076i 0.0737401 + 0.127722i
\(677\) 3.83109 3.83109i 0.147241 0.147241i −0.629644 0.776884i \(-0.716799\pi\)
0.776884 + 0.629644i \(0.216799\pi\)
\(678\) −1.07857 + 0.622713i −0.0414222 + 0.0239151i
\(679\) −18.7125 + 32.4111i −0.718121 + 1.24382i
\(680\) 15.0389 + 16.4685i 0.576717 + 0.631539i
\(681\) −7.13859 + 12.3644i −0.273552 + 0.473805i
\(682\) −12.1895 + 7.03763i −0.466761 + 0.269485i
\(683\) −34.7477 9.31063i −1.32959 0.356261i −0.477025 0.878890i \(-0.658285\pi\)
−0.852560 + 0.522629i \(0.824951\pi\)
\(684\) 15.3333 0.586283
\(685\) 38.6889 + 10.3667i 1.47823 + 0.396089i
\(686\) −55.6432 55.6432i −2.12447 2.12447i
\(687\) −7.73053 7.73053i −0.294938 0.294938i
\(688\) 30.7166 + 8.94146i 1.17106 + 0.340890i
\(689\) 27.9132i 1.06341i
\(690\) 3.16264 + 3.16264i 0.120400 + 0.120400i
\(691\) −2.53442 + 9.45858i −0.0964139 + 0.359821i −0.997230 0.0743793i \(-0.976302\pi\)
0.900816 + 0.434201i \(0.142969\pi\)
\(692\) −2.82062 + 2.82062i −0.107224 + 0.107224i
\(693\) −7.60315 13.1690i −0.288820 0.500251i
\(694\) −16.7954 4.50031i −0.637544 0.170829i
\(695\) 18.0521 + 10.4224i 0.684755 + 0.395343i
\(696\) 9.72964 0.368801
\(697\) −1.17445 + 0.258265i −0.0444855 + 0.00978248i
\(698\) −5.74516 9.95092i −0.217458 0.376648i
\(699\) 0.498821i 0.0188672i
\(700\) −3.28928 0.881360i −0.124323 0.0333123i
\(701\) −2.10325 + 3.64293i −0.0794386 + 0.137592i −0.903008 0.429624i \(-0.858646\pi\)
0.823569 + 0.567216i \(0.191979\pi\)
\(702\) −5.18561 19.3529i −0.195718 0.730430i
\(703\) −39.2062 + 10.5053i −1.47869 + 0.396214i
\(704\) −3.16764 3.16764i −0.119385 0.119385i
\(705\) 11.6172 + 6.70721i 0.437530 + 0.252608i
\(706\) −10.7413 6.20151i −0.404255 0.233397i
\(707\) 12.9413 48.2975i 0.486707 1.81641i
\(708\) −0.338149 + 1.26199i −0.0127084 + 0.0474285i
\(709\) −0.0843575 + 0.0843575i −0.00316811 + 0.00316811i −0.708689 0.705521i \(-0.750713\pi\)
0.705521 + 0.708689i \(0.250713\pi\)
\(710\) −12.3034 −0.461738
\(711\) 14.9735 + 4.01215i 0.561551 + 0.150467i
\(712\) 6.49937 3.75241i 0.243574 0.140628i
\(713\) 8.68742 15.0470i 0.325346 0.563516i
\(714\) 13.5935 + 8.69270i 0.508724 + 0.325316i
\(715\) −12.0760 −0.451616
\(716\) −4.16563 2.40503i −0.155677 0.0898801i
\(717\) 0.852228 + 3.18056i 0.0318270 + 0.118780i
\(718\) 0.396032 0.685948i 0.0147798 0.0255993i
\(719\) −15.4975 4.15253i −0.577957 0.154863i −0.0420139 0.999117i \(-0.513377\pi\)
−0.535944 + 0.844254i \(0.680044\pi\)
\(720\) 23.4412 + 23.4412i 0.873602 + 0.873602i
\(721\) −6.32142 + 23.5918i −0.235422 + 0.878606i
\(722\) −75.8290 43.7799i −2.82206 1.62932i
\(723\) 0.0921168i 0.00342586i
\(724\) 10.0099 2.68215i 0.372015 0.0996811i
\(725\) −2.49388 + 9.30728i −0.0926203 + 0.345664i
\(726\) −7.52344 2.01590i −0.279221 0.0748171i
\(727\) 21.0279 0.779882 0.389941 0.920840i \(-0.372495\pi\)
0.389941 + 0.920840i \(0.372495\pi\)
\(728\) 45.0435 + 12.0694i 1.66942 + 0.447321i
\(729\) 14.8068i 0.548399i
\(730\) −5.29342 −0.195918
\(731\) 20.3517 17.7991i 0.752736 0.658323i
\(732\) 3.62548 0.134002
\(733\) 17.9631i 0.663481i 0.943371 + 0.331740i \(0.107636\pi\)
−0.943371 + 0.331740i \(0.892364\pi\)
\(734\) −33.9868 9.10673i −1.25447 0.336135i
\(735\) 20.4567 0.754555
\(736\) −7.78204 2.08519i −0.286850 0.0768611i
\(737\) 2.34285 8.74364i 0.0863000 0.322076i
\(738\) −1.26531 + 0.339040i −0.0465768 + 0.0124802i
\(739\) 23.9684i 0.881691i −0.897583 0.440845i \(-0.854679\pi\)
0.897583 0.440845i \(-0.145321\pi\)
\(740\) 6.61539 + 3.81940i 0.243187 + 0.140404i
\(741\) −4.71769 + 17.6067i −0.173309 + 0.646797i
\(742\) 36.1486 + 36.1486i 1.32706 + 1.32706i
\(743\) −17.9063 4.79798i −0.656918 0.176021i −0.0850633 0.996376i \(-0.527109\pi\)
−0.571855 + 0.820355i \(0.693776\pi\)
\(744\) −4.13637 + 7.16441i −0.151647 + 0.262660i
\(745\) −1.78421 6.65877i −0.0653685 0.243959i
\(746\) 3.62187 + 2.09109i 0.132606 + 0.0765603i
\(747\) −23.4847 −0.859259
\(748\) 2.96010 0.650935i 0.108232 0.0238005i
\(749\) 18.8134 32.5857i 0.687426 1.19066i
\(750\) −6.71501 + 3.87691i −0.245197 + 0.141565i
\(751\) 8.49428 + 2.27604i 0.309961 + 0.0830538i 0.410446 0.911885i \(-0.365373\pi\)
−0.100485 + 0.994939i \(0.532040\pi\)
\(752\) −54.0259 −1.97012
\(753\) −6.33737 + 6.33737i −0.230946 + 0.230946i
\(754\) −16.5058 + 61.6007i −0.601107 + 2.24336i
\(755\) 2.96653 11.0712i 0.107963 0.402923i
\(756\) 7.80977 + 4.50897i 0.284039 + 0.163990i
\(757\) −27.2785 15.7492i