Properties

Label 731.2.n.a.208.15
Level 731
Weight 2
Character 731.208
Analytic conductor 5.837
Analytic rank 0
Dimension 256
CM no
Inner twists 4

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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 208.15
Character \(\chi\) = 731.208
Dual form 731.2.n.a.608.50

$q$-expansion

\(f(q)\) \(=\) \(q-1.79720i q^{2} +(-1.99454 - 0.534434i) q^{3} -1.22993 q^{4} +(0.473839 + 0.126965i) q^{5} +(-0.960485 + 3.58458i) q^{6} +(-3.30462 + 0.885471i) q^{7} -1.38398i q^{8} +(1.09448 + 0.631896i) q^{9} +O(q^{10})\) \(q-1.79720i q^{2} +(-1.99454 - 0.534434i) q^{3} -1.22993 q^{4} +(0.473839 + 0.126965i) q^{5} +(-0.960485 + 3.58458i) q^{6} +(-3.30462 + 0.885471i) q^{7} -1.38398i q^{8} +(1.09448 + 0.631896i) q^{9} +(0.228181 - 0.851582i) q^{10} +(-1.62450 - 1.62450i) q^{11} +(2.45313 + 0.657315i) q^{12} +(-0.566387 + 0.981011i) q^{13} +(1.59137 + 5.93907i) q^{14} +(-0.877234 - 0.506471i) q^{15} -4.94713 q^{16} +(3.68792 + 1.84371i) q^{17} +(1.13564 - 1.96699i) q^{18} +(0.798992 - 0.461298i) q^{19} +(-0.582787 - 0.156157i) q^{20} +7.06441 q^{21} +(-2.91954 + 2.91954i) q^{22} +(-1.50527 + 5.61775i) q^{23} +(-0.739644 + 2.76039i) q^{24} +(-4.12172 - 2.37968i) q^{25} +(1.76307 + 1.01791i) q^{26} +(2.53504 + 2.53504i) q^{27} +(4.06444 - 1.08906i) q^{28} +(1.39906 + 5.22138i) q^{29} +(-0.910230 + 1.57656i) q^{30} +(4.40471 + 1.18024i) q^{31} +6.12304i q^{32} +(2.37193 + 4.10830i) q^{33} +(3.31351 - 6.62793i) q^{34} -1.67828 q^{35} +(-1.34613 - 0.777186i) q^{36} +(6.30282 + 1.68883i) q^{37} +(-0.829045 - 1.43595i) q^{38} +(1.65396 - 1.65396i) q^{39} +(0.175716 - 0.655781i) q^{40} +(4.10891 + 4.10891i) q^{41} -12.6962i q^{42} +(-6.55585 + 0.144430i) q^{43} +(1.99801 + 1.99801i) q^{44} +(0.438377 + 0.438377i) q^{45} +(10.0962 + 2.70528i) q^{46} -7.21339 q^{47} +(9.86723 + 2.64392i) q^{48} +(4.07429 - 2.35229i) q^{49} +(-4.27676 + 7.40756i) q^{50} +(-6.37035 - 5.64829i) q^{51} +(0.696614 - 1.20657i) q^{52} +(-3.85122 + 2.22351i) q^{53} +(4.55597 - 4.55597i) q^{54} +(-0.563495 - 0.976002i) q^{55} +(1.22547 + 4.57351i) q^{56} +(-1.84015 + 0.493067i) q^{57} +(9.38387 - 2.51440i) q^{58} -2.52267i q^{59} +(1.07893 + 0.622922i) q^{60} +(-0.621376 + 0.166497i) q^{61} +(2.12112 - 7.91614i) q^{62} +(-4.17636 - 1.11905i) q^{63} +1.11005 q^{64} +(-0.392930 + 0.392930i) q^{65} +(7.38344 - 4.26283i) q^{66} +(2.90561 + 5.03266i) q^{67} +(-4.53587 - 2.26762i) q^{68} +(6.00464 - 10.4003i) q^{69} +3.01621i q^{70} +(-3.62132 - 13.5149i) q^{71} +(0.874528 - 1.51473i) q^{72} +(-1.02226 - 3.81514i) q^{73} +(3.03517 - 11.3274i) q^{74} +(6.94914 + 6.94914i) q^{75} +(-0.982701 + 0.567363i) q^{76} +(6.80679 + 3.92990i) q^{77} +(-2.97250 - 2.97250i) q^{78} +(4.63570 - 1.24213i) q^{79} +(-2.34414 - 0.628111i) q^{80} +(-5.59710 - 9.69447i) q^{81} +(7.38454 - 7.38454i) q^{82} +(-8.63965 + 4.98810i) q^{83} -8.68871 q^{84} +(1.51339 + 1.34185i) q^{85} +(0.259569 + 11.7822i) q^{86} -11.1619i q^{87} +(-2.24826 + 2.24826i) q^{88} +(3.61215 + 6.25643i) q^{89} +(0.787850 - 0.787850i) q^{90} +(1.00304 - 3.74339i) q^{91} +(1.85138 - 6.90943i) q^{92} +(-8.15458 - 4.70805i) q^{93} +12.9639i q^{94} +(0.437162 - 0.117137i) q^{95} +(3.27236 - 12.2126i) q^{96} +(-6.50953 + 6.50953i) q^{97} +(-4.22754 - 7.32232i) q^{98} +(-0.751460 - 2.80449i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.79720i 1.27081i −0.772178 0.635406i \(-0.780833\pi\)
0.772178 0.635406i \(-0.219167\pi\)
\(3\) −1.99454 0.534434i −1.15155 0.308556i −0.367961 0.929841i \(-0.619944\pi\)
−0.783584 + 0.621285i \(0.786611\pi\)
\(4\) −1.22993 −0.614963
\(5\) 0.473839 + 0.126965i 0.211907 + 0.0567803i 0.363211 0.931707i \(-0.381680\pi\)
−0.151304 + 0.988487i \(0.548347\pi\)
\(6\) −0.960485 + 3.58458i −0.392116 + 1.46340i
\(7\) −3.30462 + 0.885471i −1.24903 + 0.334677i −0.821962 0.569543i \(-0.807120\pi\)
−0.427068 + 0.904219i \(0.640454\pi\)
\(8\) 1.38398i 0.489309i
\(9\) 1.09448 + 0.631896i 0.364825 + 0.210632i
\(10\) 0.228181 0.851582i 0.0721571 0.269294i
\(11\) −1.62450 1.62450i −0.489804 0.489804i 0.418440 0.908244i \(-0.362577\pi\)
−0.908244 + 0.418440i \(0.862577\pi\)
\(12\) 2.45313 + 0.657315i 0.708159 + 0.189751i
\(13\) −0.566387 + 0.981011i −0.157087 + 0.272083i −0.933817 0.357751i \(-0.883544\pi\)
0.776730 + 0.629834i \(0.216877\pi\)
\(14\) 1.59137 + 5.93907i 0.425311 + 1.58728i
\(15\) −0.877234 0.506471i −0.226501 0.130770i
\(16\) −4.94713 −1.23678
\(17\) 3.68792 + 1.84371i 0.894452 + 0.447165i
\(18\) 1.13564 1.96699i 0.267674 0.463625i
\(19\) 0.798992 0.461298i 0.183301 0.105829i −0.405542 0.914077i \(-0.632917\pi\)
0.588843 + 0.808248i \(0.299584\pi\)
\(20\) −0.582787 0.156157i −0.130315 0.0349178i
\(21\) 7.06441 1.54158
\(22\) −2.91954 + 2.91954i −0.622449 + 0.622449i
\(23\) −1.50527 + 5.61775i −0.313871 + 1.17138i 0.611165 + 0.791503i \(0.290701\pi\)
−0.925036 + 0.379879i \(0.875966\pi\)
\(24\) −0.739644 + 2.76039i −0.150979 + 0.563462i
\(25\) −4.12172 2.37968i −0.824345 0.475936i
\(26\) 1.76307 + 1.01791i 0.345767 + 0.199629i
\(27\) 2.53504 + 2.53504i 0.487869 + 0.487869i
\(28\) 4.06444 1.08906i 0.768108 0.205814i
\(29\) 1.39906 + 5.22138i 0.259800 + 0.969586i 0.965357 + 0.260933i \(0.0840302\pi\)
−0.705557 + 0.708653i \(0.749303\pi\)
\(30\) −0.910230 + 1.57656i −0.166184 + 0.287840i
\(31\) 4.40471 + 1.18024i 0.791109 + 0.211977i 0.631677 0.775232i \(-0.282367\pi\)
0.159432 + 0.987209i \(0.449034\pi\)
\(32\) 6.12304i 1.08241i
\(33\) 2.37193 + 4.10830i 0.412900 + 0.715164i
\(34\) 3.31351 6.62793i 0.568262 1.13668i
\(35\) −1.67828 −0.283681
\(36\) −1.34613 0.777186i −0.224354 0.129531i
\(37\) 6.30282 + 1.68883i 1.03618 + 0.277643i 0.736528 0.676407i \(-0.236464\pi\)
0.299648 + 0.954050i \(0.403131\pi\)
\(38\) −0.829045 1.43595i −0.134489 0.232941i
\(39\) 1.65396 1.65396i 0.264846 0.264846i
\(40\) 0.175716 0.655781i 0.0277831 0.103688i
\(41\) 4.10891 + 4.10891i 0.641705 + 0.641705i 0.950974 0.309270i \(-0.100085\pi\)
−0.309270 + 0.950974i \(0.600085\pi\)
\(42\) 12.6962i 1.95906i
\(43\) −6.55585 + 0.144430i −0.999757 + 0.0220253i
\(44\) 1.99801 + 1.99801i 0.301212 + 0.301212i
\(45\) 0.438377 + 0.438377i 0.0653493 + 0.0653493i
\(46\) 10.0962 + 2.70528i 1.48861 + 0.398871i
\(47\) −7.21339 −1.05218 −0.526091 0.850428i \(-0.676343\pi\)
−0.526091 + 0.850428i \(0.676343\pi\)
\(48\) 9.86723 + 2.64392i 1.42421 + 0.381617i
\(49\) 4.07429 2.35229i 0.582042 0.336042i
\(50\) −4.27676 + 7.40756i −0.604825 + 1.04759i
\(51\) −6.37035 5.64829i −0.892027 0.790919i
\(52\) 0.696614 1.20657i 0.0966030 0.167321i
\(53\) −3.85122 + 2.22351i −0.529006 + 0.305422i −0.740612 0.671933i \(-0.765464\pi\)
0.211605 + 0.977355i \(0.432131\pi\)
\(54\) 4.55597 4.55597i 0.619989 0.619989i
\(55\) −0.563495 0.976002i −0.0759817 0.131604i
\(56\) 1.22547 + 4.57351i 0.163760 + 0.611162i
\(57\) −1.84015 + 0.493067i −0.243734 + 0.0653083i
\(58\) 9.38387 2.51440i 1.23216 0.330157i
\(59\) 2.52267i 0.328423i −0.986425 0.164212i \(-0.947492\pi\)
0.986425 0.164212i \(-0.0525080\pi\)
\(60\) 1.07893 + 0.622922i 0.139290 + 0.0804189i
\(61\) −0.621376 + 0.166497i −0.0795591 + 0.0213178i −0.298379 0.954447i \(-0.596446\pi\)
0.218820 + 0.975765i \(0.429779\pi\)
\(62\) 2.12112 7.91614i 0.269383 1.00535i
\(63\) −4.17636 1.11905i −0.526171 0.140987i
\(64\) 1.11005 0.138757
\(65\) −0.392930 + 0.392930i −0.0487369 + 0.0487369i
\(66\) 7.38344 4.26283i 0.908839 0.524718i
\(67\) 2.90561 + 5.03266i 0.354976 + 0.614837i 0.987114 0.160019i \(-0.0511556\pi\)
−0.632138 + 0.774856i \(0.717822\pi\)
\(68\) −4.53587 2.26762i −0.550055 0.274990i
\(69\) 6.00464 10.4003i 0.722874 1.25205i
\(70\) 3.01621i 0.360506i
\(71\) −3.62132 13.5149i −0.429771 1.60393i −0.753277 0.657703i \(-0.771528\pi\)
0.323506 0.946226i \(-0.395138\pi\)
\(72\) 0.874528 1.51473i 0.103064 0.178512i
\(73\) −1.02226 3.81514i −0.119647 0.446529i 0.879945 0.475075i \(-0.157579\pi\)
−0.999592 + 0.0285459i \(0.990912\pi\)
\(74\) 3.03517 11.3274i 0.352832 1.31679i
\(75\) 6.94914 + 6.94914i 0.802418 + 0.802418i
\(76\) −0.982701 + 0.567363i −0.112724 + 0.0650810i
\(77\) 6.80679 + 3.92990i 0.775706 + 0.447854i
\(78\) −2.97250 2.97250i −0.336570 0.336570i
\(79\) 4.63570 1.24213i 0.521557 0.139751i 0.0115700 0.999933i \(-0.496317\pi\)
0.509986 + 0.860182i \(0.329650\pi\)
\(80\) −2.34414 0.628111i −0.262083 0.0702250i
\(81\) −5.59710 9.69447i −0.621900 1.07716i
\(82\) 7.38454 7.38454i 0.815486 0.815486i
\(83\) −8.63965 + 4.98810i −0.948324 + 0.547515i −0.892560 0.450929i \(-0.851093\pi\)
−0.0557644 + 0.998444i \(0.517760\pi\)
\(84\) −8.68871 −0.948016
\(85\) 1.51339 + 1.34185i 0.164150 + 0.145545i
\(86\) 0.259569 + 11.7822i 0.0279900 + 1.27050i
\(87\) 11.1619i 1.19669i
\(88\) −2.24826 + 2.24826i −0.239666 + 0.239666i
\(89\) 3.61215 + 6.25643i 0.382887 + 0.663180i 0.991474 0.130307i \(-0.0415964\pi\)
−0.608586 + 0.793488i \(0.708263\pi\)
\(90\) 0.787850 0.787850i 0.0830467 0.0830467i
\(91\) 1.00304 3.74339i 0.105147 0.392414i
\(92\) 1.85138 6.90943i 0.193019 0.720357i
\(93\) −8.15458 4.70805i −0.845591 0.488202i
\(94\) 12.9639i 1.33713i
\(95\) 0.437162 0.117137i 0.0448518 0.0120180i
\(96\) 3.27236 12.2126i 0.333984 1.24644i
\(97\) −6.50953 + 6.50953i −0.660942 + 0.660942i −0.955602 0.294660i \(-0.904794\pi\)
0.294660 + 0.955602i \(0.404794\pi\)
\(98\) −4.22754 7.32232i −0.427046 0.739666i
\(99\) −0.751460 2.80449i −0.0755245 0.281861i
\(100\) 5.06942 + 2.92683i 0.506942 + 0.292683i
\(101\) 2.15182 3.72707i 0.214114 0.370857i −0.738884 0.673833i \(-0.764647\pi\)
0.952998 + 0.302976i \(0.0979801\pi\)
\(102\) −10.1511 + 11.4488i −1.00511 + 1.13360i
\(103\) −2.29469 + 3.97453i −0.226103 + 0.391622i −0.956650 0.291241i \(-0.905932\pi\)
0.730547 + 0.682863i \(0.239265\pi\)
\(104\) 1.35769 + 0.783865i 0.133133 + 0.0768643i
\(105\) 3.34739 + 0.896931i 0.326672 + 0.0875315i
\(106\) 3.99608 + 6.92142i 0.388134 + 0.672268i
\(107\) −12.5827 + 12.5827i −1.21642 + 1.21642i −0.247538 + 0.968878i \(0.579621\pi\)
−0.968878 + 0.247538i \(0.920379\pi\)
\(108\) −3.11791 3.11791i −0.300021 0.300021i
\(109\) −2.34404 + 8.74809i −0.224519 + 0.837915i 0.758078 + 0.652164i \(0.226138\pi\)
−0.982597 + 0.185751i \(0.940528\pi\)
\(110\) −1.75407 + 1.01271i −0.167244 + 0.0965585i
\(111\) −11.6686 6.73688i −1.10754 0.639436i
\(112\) 16.3484 4.38054i 1.54478 0.413922i
\(113\) 10.3765 + 10.3765i 0.976138 + 0.976138i 0.999722 0.0235840i \(-0.00750771\pi\)
−0.0235840 + 0.999722i \(0.507508\pi\)
\(114\) 0.886140 + 3.30712i 0.0829946 + 0.309740i
\(115\) −1.42651 + 2.47079i −0.133023 + 0.230402i
\(116\) −1.72075 6.42192i −0.159767 0.596260i
\(117\) −1.23979 + 0.715795i −0.114619 + 0.0661753i
\(118\) −4.53374 −0.417364
\(119\) −13.8197 2.82721i −1.26685 0.259170i
\(120\) −0.700943 + 1.21407i −0.0639871 + 0.110829i
\(121\) 5.72202i 0.520184i
\(122\) 0.299229 + 1.11674i 0.0270909 + 0.101105i
\(123\) −5.99943 10.3913i −0.540951 0.936954i
\(124\) −5.41747 1.45161i −0.486503 0.130358i
\(125\) −3.38527 3.38527i −0.302787 0.302787i
\(126\) −2.01116 + 7.50575i −0.179168 + 0.668665i
\(127\) 7.69836i 0.683119i 0.939860 + 0.341559i \(0.110955\pi\)
−0.939860 + 0.341559i \(0.889045\pi\)
\(128\) 10.2511i 0.906077i
\(129\) 13.1531 + 3.21560i 1.15806 + 0.283118i
\(130\) 0.706173 + 0.706173i 0.0619355 + 0.0619355i
\(131\) −14.5002 + 14.5002i −1.26689 + 1.26689i −0.319197 + 0.947688i \(0.603413\pi\)
−0.947688 + 0.319197i \(0.896587\pi\)
\(132\) −2.91730 5.05291i −0.253918 0.439799i
\(133\) −2.23190 + 2.23190i −0.193530 + 0.193530i
\(134\) 9.04469 5.22196i 0.781343 0.451108i
\(135\) 0.879339 + 1.52306i 0.0756814 + 0.131084i
\(136\) 2.55164 5.10399i 0.218802 0.437663i
\(137\) −15.8946 −1.35796 −0.678982 0.734155i \(-0.737579\pi\)
−0.678982 + 0.734155i \(0.737579\pi\)
\(138\) −18.6915 10.7915i −1.59113 0.918637i
\(139\) −15.6226 4.18608i −1.32510 0.355058i −0.474211 0.880411i \(-0.657267\pi\)
−0.850885 + 0.525353i \(0.823933\pi\)
\(140\) 2.06416 0.174454
\(141\) 14.3874 + 3.85508i 1.21164 + 0.324657i
\(142\) −24.2891 + 6.50823i −2.03829 + 0.546159i
\(143\) 2.51374 0.673555i 0.210210 0.0563255i
\(144\) −5.41452 3.12607i −0.451210 0.260506i
\(145\) 2.65172i 0.220214i
\(146\) −6.85658 + 1.83721i −0.567454 + 0.152049i
\(147\) −9.38347 + 2.51429i −0.773935 + 0.207375i
\(148\) −7.75200 2.07714i −0.637211 0.170740i
\(149\) −1.24882 2.16302i −0.102307 0.177201i 0.810328 0.585977i \(-0.199289\pi\)
−0.912635 + 0.408776i \(0.865956\pi\)
\(150\) 12.4890 12.4890i 1.01972 1.01972i
\(151\) 20.6578i 1.68111i −0.541725 0.840556i \(-0.682229\pi\)
0.541725 0.840556i \(-0.317771\pi\)
\(152\) −0.638425 1.10578i −0.0517831 0.0896910i
\(153\) 2.87131 + 4.34827i 0.232131 + 0.351537i
\(154\) 7.06282 12.2332i 0.569138 0.985776i
\(155\) 1.93727 + 1.11848i 0.155605 + 0.0898388i
\(156\) −2.03426 + 2.03426i −0.162871 + 0.162871i
\(157\) 3.27874 5.67894i 0.261672 0.453229i −0.705015 0.709193i \(-0.749060\pi\)
0.966686 + 0.255964i \(0.0823929\pi\)
\(158\) −2.23236 8.33127i −0.177597 0.662800i
\(159\) 8.86972 2.37663i 0.703415 0.188479i
\(160\) −0.777409 + 2.90133i −0.0614596 + 0.229370i
\(161\) 19.8974i 1.56814i
\(162\) −17.4229 + 10.0591i −1.36887 + 0.790318i
\(163\) −4.27175 + 1.14461i −0.334589 + 0.0896529i −0.422202 0.906502i \(-0.638743\pi\)
0.0876130 + 0.996155i \(0.472076\pi\)
\(164\) −5.05366 5.05366i −0.394625 0.394625i
\(165\) 0.602302 + 2.24782i 0.0468892 + 0.174993i
\(166\) 8.96462 + 15.5272i 0.695789 + 1.20514i
\(167\) −19.2914 5.16910i −1.49281 0.399997i −0.582125 0.813099i \(-0.697779\pi\)
−0.910685 + 0.413102i \(0.864445\pi\)
\(168\) 9.77697i 0.754310i
\(169\) 5.85841 + 10.1471i 0.450647 + 0.780544i
\(170\) 2.41158 2.71987i 0.184960 0.208604i
\(171\) 1.16597 0.0891639
\(172\) 8.06321 0.177638i 0.614814 0.0135448i
\(173\) 7.01043 7.01043i 0.532993 0.532993i −0.388469 0.921462i \(-0.626996\pi\)
0.921462 + 0.388469i \(0.126996\pi\)
\(174\) −20.0602 −1.52076
\(175\) 15.7279 + 4.21427i 1.18892 + 0.318569i
\(176\) 8.03660 + 8.03660i 0.605781 + 0.605781i
\(177\) −1.34820 + 5.03155i −0.101337 + 0.378194i
\(178\) 11.2441 6.49176i 0.842778 0.486578i
\(179\) 8.85352 + 5.11158i 0.661743 + 0.382057i 0.792941 0.609299i \(-0.208549\pi\)
−0.131198 + 0.991356i \(0.541882\pi\)
\(180\) −0.539171 0.539171i −0.0401874 0.0401874i
\(181\) −4.27131 + 1.14449i −0.317484 + 0.0850695i −0.414042 0.910258i \(-0.635883\pi\)
0.0965582 + 0.995327i \(0.469217\pi\)
\(182\) −6.72762 1.80266i −0.498684 0.133622i
\(183\) 1.32834 0.0981936
\(184\) 7.77483 + 2.08326i 0.573168 + 0.153580i
\(185\) 2.77209 + 1.60047i 0.203808 + 0.117669i
\(186\) −8.46131 + 14.6554i −0.620413 + 1.07459i
\(187\) −2.99591 8.98610i −0.219083 0.657129i
\(188\) 8.87195 0.647053
\(189\) −10.6221 6.13264i −0.772641 0.446084i
\(190\) −0.210519 0.785667i −0.0152726 0.0569982i
\(191\) 8.08007 + 13.9951i 0.584653 + 1.01265i 0.994919 + 0.100683i \(0.0321028\pi\)
−0.410265 + 0.911966i \(0.634564\pi\)
\(192\) −2.21404 0.593251i −0.159785 0.0428142i
\(193\) 6.78163 + 6.78163i 0.488153 + 0.488153i 0.907723 0.419570i \(-0.137819\pi\)
−0.419570 + 0.907723i \(0.637819\pi\)
\(194\) 11.6989 + 11.6989i 0.839933 + 0.839933i
\(195\) 0.993707 0.573717i 0.0711608 0.0410847i
\(196\) −5.01108 + 2.89315i −0.357934 + 0.206654i
\(197\) −18.1264 + 4.85696i −1.29145 + 0.346044i −0.838212 0.545344i \(-0.816399\pi\)
−0.453241 + 0.891388i \(0.649732\pi\)
\(198\) −5.04022 + 1.35052i −0.358193 + 0.0959775i
\(199\) −8.05441 + 8.05441i −0.570962 + 0.570962i −0.932397 0.361435i \(-0.882287\pi\)
0.361435 + 0.932397i \(0.382287\pi\)
\(200\) −3.29342 + 5.70436i −0.232880 + 0.403359i
\(201\) −3.10571 11.5907i −0.219060 0.817543i
\(202\) −6.69828 3.86726i −0.471290 0.272099i
\(203\) −9.24676 16.0159i −0.648995 1.12409i
\(204\) 7.83506 + 6.94698i 0.548564 + 0.486386i
\(205\) 1.42527 + 2.46865i 0.0995455 + 0.172418i
\(206\) 7.14302 + 4.12402i 0.497678 + 0.287334i
\(207\) −5.19732 + 5.19732i −0.361239 + 0.361239i
\(208\) 2.80199 4.85319i 0.194283 0.336508i
\(209\) −2.04734 0.548582i −0.141617 0.0379462i
\(210\) 1.61196 6.01593i 0.111236 0.415139i
\(211\) 12.7199 + 12.7199i 0.875677 + 0.875677i 0.993084 0.117407i \(-0.0374582\pi\)
−0.117407 + 0.993084i \(0.537458\pi\)
\(212\) 4.73672 2.73475i 0.325320 0.187823i
\(213\) 28.8914i 1.97961i
\(214\) 22.6136 + 22.6136i 1.54584 + 1.54584i
\(215\) −3.12475 0.763925i −0.213106 0.0520992i
\(216\) 3.50843 3.50843i 0.238719 0.238719i
\(217\) −15.6010 −1.05906
\(218\) 15.7221 + 4.21271i 1.06483 + 0.285321i
\(219\) 8.15577i 0.551116i
\(220\) 0.693058 + 1.20041i 0.0467260 + 0.0809317i
\(221\) −3.89749 + 2.57364i −0.262173 + 0.173122i
\(222\) −12.1075 + 20.9708i −0.812604 + 1.40747i
\(223\) 11.3254i 0.758407i −0.925313 0.379203i \(-0.876198\pi\)
0.925313 0.379203i \(-0.123802\pi\)
\(224\) −5.42177 20.2343i −0.362257 1.35196i
\(225\) −3.00742 5.20900i −0.200495 0.347267i
\(226\) 18.6486 18.6486i 1.24049 1.24049i
\(227\) 5.17975 19.3311i 0.343792 1.28305i −0.550225 0.835016i \(-0.685458\pi\)
0.894017 0.448033i \(-0.147875\pi\)
\(228\) 2.26325 0.606436i 0.149887 0.0401622i
\(229\) −12.4092 7.16444i −0.820022 0.473440i 0.0304024 0.999538i \(-0.490321\pi\)
−0.850424 + 0.526098i \(0.823654\pi\)
\(230\) 4.44051 + 2.56373i 0.292798 + 0.169047i
\(231\) −11.4761 11.4761i −0.755073 0.755073i
\(232\) 7.22626 1.93627i 0.474427 0.127122i
\(233\) 1.41532 + 5.28203i 0.0927204 + 0.346037i 0.996664 0.0816145i \(-0.0260076\pi\)
−0.903944 + 0.427652i \(0.859341\pi\)
\(234\) 1.28643 + 2.22816i 0.0840964 + 0.145659i
\(235\) −3.41798 0.915846i −0.222965 0.0597432i
\(236\) 3.10270i 0.201968i
\(237\) −9.90990 −0.643717
\(238\) −5.08106 + 24.8368i −0.329356 + 1.60993i
\(239\) 1.20990 + 2.09561i 0.0782620 + 0.135554i 0.902500 0.430690i \(-0.141730\pi\)
−0.824238 + 0.566243i \(0.808396\pi\)
\(240\) 4.33979 + 2.50558i 0.280132 + 0.161734i
\(241\) −1.27759 4.76804i −0.0822969 0.307136i 0.912492 0.409095i \(-0.134156\pi\)
−0.994789 + 0.101959i \(0.967489\pi\)
\(242\) −10.2836 −0.661056
\(243\) 3.19890 + 11.9385i 0.205210 + 0.765852i
\(244\) 0.764247 0.204779i 0.0489259 0.0131097i
\(245\) 2.22921 0.597316i 0.142419 0.0381611i
\(246\) −18.6753 + 10.7822i −1.19069 + 0.687446i
\(247\) 1.04509i 0.0664976i
\(248\) 1.63342 6.09600i 0.103722 0.387097i
\(249\) 19.8979 5.33163i 1.26098 0.337878i
\(250\) −6.08400 + 6.08400i −0.384786 + 0.384786i
\(251\) 7.71796 13.3679i 0.487153 0.843774i −0.512738 0.858545i \(-0.671369\pi\)
0.999891 + 0.0147713i \(0.00470202\pi\)
\(252\) 5.13661 + 1.37635i 0.323576 + 0.0867020i
\(253\) 11.5713 6.68071i 0.727483 0.420013i
\(254\) 13.8355 0.868116
\(255\) −2.30138 3.48519i −0.144118 0.218251i
\(256\) 20.6434 1.29021
\(257\) 4.31120i 0.268925i 0.990919 + 0.134463i \(0.0429308\pi\)
−0.990919 + 0.134463i \(0.957069\pi\)
\(258\) 5.77907 23.6387i 0.359789 1.47168i
\(259\) −22.3238 −1.38714
\(260\) 0.483275 0.483275i 0.0299714 0.0299714i
\(261\) −1.76813 + 6.59874i −0.109444 + 0.408452i
\(262\) 26.0597 + 26.0597i 1.60997 + 1.60997i
\(263\) 10.6331 6.13902i 0.655665 0.378548i −0.134958 0.990851i \(-0.543090\pi\)
0.790623 + 0.612303i \(0.209757\pi\)
\(264\) 5.68579 3.28269i 0.349936 0.202036i
\(265\) −2.10717 + 0.564613i −0.129442 + 0.0346839i
\(266\) 4.01117 + 4.01117i 0.245941 + 0.245941i
\(267\) −3.86092 14.4091i −0.236284 0.881824i
\(268\) −3.57368 6.18980i −0.218298 0.378102i
\(269\) 7.39473 7.39473i 0.450864 0.450864i −0.444777 0.895641i \(-0.646717\pi\)
0.895641 + 0.444777i \(0.146717\pi\)
\(270\) 2.73724 1.58035i 0.166583 0.0961769i
\(271\) 4.34381 7.52370i 0.263868 0.457032i −0.703399 0.710795i \(-0.748335\pi\)
0.967266 + 0.253763i \(0.0816685\pi\)
\(272\) −18.2446 9.12106i −1.10624 0.553046i
\(273\) −4.00119 + 6.93027i −0.242163 + 0.419439i
\(274\) 28.5657i 1.72572i
\(275\) 2.82995 + 10.5615i 0.170652 + 0.636883i
\(276\) −7.38527 + 12.7917i −0.444541 + 0.769967i
\(277\) −1.11717 0.299344i −0.0671241 0.0179859i 0.225101 0.974336i \(-0.427729\pi\)
−0.292225 + 0.956350i \(0.594396\pi\)
\(278\) −7.52322 + 28.0770i −0.451212 + 1.68395i
\(279\) 4.07506 + 4.07506i 0.243967 + 0.243967i
\(280\) 2.32270i 0.138808i
\(281\) 2.14324 1.23740i 0.127855 0.0738173i −0.434708 0.900571i \(-0.643149\pi\)
0.562564 + 0.826754i \(0.309815\pi\)
\(282\) 6.92836 25.8570i 0.412578 1.53976i
\(283\) 27.4803 7.36332i 1.63353 0.437704i 0.678595 0.734512i \(-0.262589\pi\)
0.954937 + 0.296809i \(0.0959223\pi\)
\(284\) 4.45396 + 16.6224i 0.264294 + 0.986358i
\(285\) −0.934536 −0.0553572
\(286\) −1.21051 4.51770i −0.0715791 0.267137i
\(287\) −17.2167 9.94009i −1.01627 0.586745i
\(288\) −3.86912 + 6.70152i −0.227990 + 0.394891i
\(289\) 10.2015 + 13.5989i 0.600088 + 0.799934i
\(290\) 4.76568 0.279850
\(291\) 16.4624 9.50457i 0.965043 0.557168i
\(292\) 1.25731 + 4.69235i 0.0735786 + 0.274599i
\(293\) −25.0622 −1.46415 −0.732075 0.681224i \(-0.761448\pi\)
−0.732075 + 0.681224i \(0.761448\pi\)
\(294\) 4.51869 + 16.8640i 0.263535 + 0.983526i
\(295\) 0.320290 1.19534i 0.0186480 0.0695952i
\(296\) 2.33730 8.72294i 0.135853 0.507011i
\(297\) 8.23632i 0.477920i
\(298\) −3.88737 + 2.24438i −0.225190 + 0.130013i
\(299\) −4.65851 4.65851i −0.269409 0.269409i
\(300\) −8.54694 8.54694i −0.493458 0.493458i
\(301\) 21.5367 6.28230i 1.24136 0.362106i
\(302\) −37.1263 −2.13638
\(303\) −6.28376 + 6.28376i −0.360993 + 0.360993i
\(304\) −3.95272 + 2.28210i −0.226704 + 0.130888i
\(305\) −0.315571 −0.0180696
\(306\) 7.81472 5.16031i 0.446738 0.294996i
\(307\) 5.19024 + 8.98976i 0.296223 + 0.513073i 0.975269 0.221023i \(-0.0709396\pi\)
−0.679046 + 0.734096i \(0.737606\pi\)
\(308\) −8.37186 4.83349i −0.477031 0.275414i
\(309\) 6.70097 6.70097i 0.381205 0.381205i
\(310\) 2.01014 3.48166i 0.114168 0.197745i
\(311\) −28.1229 7.53551i −1.59470 0.427300i −0.651266 0.758849i \(-0.725762\pi\)
−0.943438 + 0.331549i \(0.892429\pi\)
\(312\) −2.28905 2.28905i −0.129592 0.129592i
\(313\) −5.35816 + 19.9969i −0.302861 + 1.13029i 0.631910 + 0.775042i \(0.282271\pi\)
−0.934771 + 0.355251i \(0.884395\pi\)
\(314\) −10.2062 5.89254i −0.575968 0.332535i
\(315\) −1.83684 1.06050i −0.103494 0.0597524i
\(316\) −5.70157 + 1.52773i −0.320738 + 0.0859415i
\(317\) −17.5313 17.5313i −0.984655 0.984655i 0.0152290 0.999884i \(-0.495152\pi\)
−0.999884 + 0.0152290i \(0.995152\pi\)
\(318\) −4.27129 15.9407i −0.239522 0.893908i
\(319\) 6.20934 10.7549i 0.347656 0.602158i
\(320\) 0.525986 + 0.140938i 0.0294035 + 0.00787865i
\(321\) 31.8213 18.3720i 1.77609 1.02543i
\(322\) −35.7597 −1.99281
\(323\) 3.79711 0.228123i 0.211277 0.0126931i
\(324\) 6.88403 + 11.9235i 0.382446 + 0.662416i
\(325\) 4.66898 2.69564i 0.258988 0.149527i
\(326\) 2.05710 + 7.67718i 0.113932 + 0.425200i
\(327\) 9.35055 16.1956i 0.517087 0.895620i
\(328\) 5.68663 5.68663i 0.313992 0.313992i
\(329\) 23.8375 6.38725i 1.31421 0.352140i
\(330\) 4.03979 1.08246i 0.222383 0.0595873i
\(331\) −3.00849 1.73695i −0.165361 0.0954715i 0.415035 0.909805i \(-0.363769\pi\)
−0.580397 + 0.814334i \(0.697103\pi\)
\(332\) 10.6261 6.13500i 0.583185 0.336702i
\(333\) 5.83111 + 5.83111i 0.319543 + 0.319543i
\(334\) −9.28991 + 34.6704i −0.508321 + 1.89708i
\(335\) 0.737819 + 2.75358i 0.0403113 + 0.150444i
\(336\) −34.9486 −1.90660
\(337\) −3.36778 12.5687i −0.183455 0.684663i −0.994956 0.100312i \(-0.968016\pi\)
0.811501 0.584351i \(-0.198651\pi\)
\(338\) 18.2363 10.5287i 0.991924 0.572688i
\(339\) −15.1507 26.2418i −0.822874 1.42526i
\(340\) −1.86136 1.65038i −0.100947 0.0895046i
\(341\) −5.23814 9.07272i −0.283661 0.491315i
\(342\) 2.09548i 0.113311i
\(343\) 5.55295 5.55295i 0.299831 0.299831i
\(344\) 0.199887 + 9.07313i 0.0107772 + 0.489190i
\(345\) 4.16570 4.16570i 0.224274 0.224274i
\(346\) −12.5991 12.5991i −0.677334 0.677334i
\(347\) −2.52788 + 9.43419i −0.135704 + 0.506454i 0.864290 + 0.502994i \(0.167768\pi\)
−0.999994 + 0.00346023i \(0.998899\pi\)
\(348\) 13.7284i 0.735918i
\(349\) 16.9299 9.77446i 0.906235 0.523215i 0.0270172 0.999635i \(-0.491399\pi\)
0.879218 + 0.476420i \(0.158066\pi\)
\(350\) 7.57389 28.2661i 0.404841 1.51089i
\(351\) −3.92271 + 1.05109i −0.209379 + 0.0561029i
\(352\) 9.94685 9.94685i 0.530169 0.530169i
\(353\) 3.33014 5.76798i 0.177246 0.306998i −0.763691 0.645583i \(-0.776615\pi\)
0.940936 + 0.338584i \(0.109948\pi\)
\(354\) 9.04270 + 2.42298i 0.480614 + 0.128780i
\(355\) 6.86368i 0.364286i
\(356\) −4.44268 7.69495i −0.235462 0.407832i
\(357\) 26.0530 + 13.0247i 1.37887 + 0.689341i
\(358\) 9.18653 15.9115i 0.485523 0.840951i
\(359\) 19.3282 + 11.1591i 1.02010 + 0.588957i 0.914134 0.405413i \(-0.132872\pi\)
0.105969 + 0.994369i \(0.466206\pi\)
\(360\) 0.606702 0.606702i 0.0319760 0.0319760i
\(361\) −9.07441 + 15.7173i −0.477600 + 0.827228i
\(362\) 2.05688 + 7.67639i 0.108107 + 0.403462i
\(363\) −3.05805 + 11.4128i −0.160506 + 0.599016i
\(364\) −1.23366 + 4.60410i −0.0646615 + 0.241320i
\(365\) 1.93755i 0.101416i
\(366\) 2.38729i 0.124786i
\(367\) −0.866356 + 3.23328i −0.0452234 + 0.168776i −0.984844 0.173441i \(-0.944511\pi\)
0.939621 + 0.342217i \(0.111178\pi\)
\(368\) 7.44678 27.7918i 0.388190 1.44875i
\(369\) 1.90070 + 7.09352i 0.0989466 + 0.369274i
\(370\) 2.87636 4.98201i 0.149535 0.259002i
\(371\) 10.7580 10.7580i 0.558527 0.558527i
\(372\) 10.0295 + 5.79056i 0.520008 + 0.300226i
\(373\) −1.43248 + 2.48113i −0.0741710 + 0.128468i −0.900725 0.434389i \(-0.856964\pi\)
0.826554 + 0.562857i \(0.190298\pi\)
\(374\) −16.1498 + 5.38426i −0.835088 + 0.278413i
\(375\) 4.94283 + 8.56124i 0.255247 + 0.442100i
\(376\) 9.98316i 0.514842i
\(377\) −5.91464 1.58482i −0.304620 0.0816226i
\(378\) −11.0216 + 19.0899i −0.566889 + 0.981881i
\(379\) −18.4274 + 18.4274i −0.946554 + 0.946554i −0.998642 0.0520883i \(-0.983412\pi\)
0.0520883 + 0.998642i \(0.483412\pi\)
\(380\) −0.537677 + 0.144070i −0.0275822 + 0.00739064i
\(381\) 4.11427 15.3546i 0.210780 0.786642i
\(382\) 25.1520 14.5215i 1.28689 0.742984i
\(383\) 10.3043i 0.526528i −0.964724 0.263264i \(-0.915201\pi\)
0.964724 0.263264i \(-0.0847990\pi\)
\(384\) 5.47853 20.4462i 0.279575 1.04339i
\(385\) 2.72636 + 2.72636i 0.138948 + 0.138948i
\(386\) 12.1879 12.1879i 0.620350 0.620350i
\(387\) −7.26648 3.98454i −0.369376 0.202546i
\(388\) 8.00624 8.00624i 0.406455 0.406455i
\(389\) 1.20726i 0.0612105i 0.999532 + 0.0306053i \(0.00974348\pi\)
−0.999532 + 0.0306053i \(0.990257\pi\)
\(390\) −1.03108 1.78589i −0.0522110 0.0904321i
\(391\) −15.9088 + 17.9425i −0.804543 + 0.907393i
\(392\) −3.25552 5.63872i −0.164428 0.284798i
\(393\) 36.6705 21.1717i 1.84978 1.06797i
\(394\) 8.72893 + 32.5768i 0.439757 + 1.64120i
\(395\) 2.35428 0.118457
\(396\) 0.924240 + 3.44931i 0.0464448 + 0.173334i
\(397\) −2.00857 + 7.49608i −0.100807 + 0.376217i −0.997836 0.0657550i \(-0.979054\pi\)
0.897029 + 0.441972i \(0.145721\pi\)
\(398\) 14.4754 + 14.4754i 0.725585 + 0.725585i
\(399\) 5.64441 3.25880i 0.282574 0.163144i
\(400\) 20.3907 + 11.7726i 1.01954 + 0.588629i
\(401\) −32.6066 + 8.73692i −1.62830 + 0.436301i −0.953424 0.301633i \(-0.902468\pi\)
−0.674873 + 0.737934i \(0.735802\pi\)
\(402\) −20.8308 + 5.58158i −1.03894 + 0.278384i
\(403\) −3.65259 + 3.65259i −0.181949 + 0.181949i
\(404\) −2.64659 + 4.58402i −0.131673 + 0.228064i
\(405\) −1.42127 5.30425i −0.0706234 0.263570i
\(406\) −28.7837 + 16.6183i −1.42851 + 0.824751i
\(407\) −7.49539 12.9824i −0.371533 0.643514i
\(408\) −7.81709 + 8.81640i −0.387004 + 0.436477i
\(409\) 24.5441 1.21363 0.606813 0.794845i \(-0.292448\pi\)
0.606813 + 0.794845i \(0.292448\pi\)
\(410\) 4.43665 2.56150i 0.219111 0.126504i
\(411\) 31.7023 + 8.49460i 1.56376 + 0.419008i
\(412\) 2.82231 4.88838i 0.139045 0.240833i
\(413\) 2.23375 + 8.33646i 0.109916 + 0.410211i
\(414\) 9.34062 + 9.34062i 0.459067 + 0.459067i
\(415\) −4.72711 + 1.26663i −0.232045 + 0.0621762i
\(416\) −6.00677 3.46801i −0.294506 0.170033i
\(417\) 28.9227 + 16.6986i 1.41635 + 0.817732i
\(418\) −0.985911 + 3.67947i −0.0482225 + 0.179969i
\(419\) −11.8802 11.8802i −0.580387 0.580387i 0.354623 0.935010i \(-0.384609\pi\)
−0.935010 + 0.354623i \(0.884609\pi\)
\(420\) −4.11705 1.10316i −0.200891 0.0538287i
\(421\) 18.3742 31.8251i 0.895506 1.55106i 0.0623278 0.998056i \(-0.480148\pi\)
0.833178 0.553005i \(-0.186519\pi\)
\(422\) 22.8603 22.8603i 1.11282 1.11282i
\(423\) −7.89489 4.55811i −0.383863 0.221623i
\(424\) 3.07728 + 5.33000i 0.149446 + 0.258848i
\(425\) −10.8132 16.3753i −0.524515 0.794319i
\(426\) 51.9236 2.51571
\(427\) 1.90599 1.10042i 0.0922371 0.0532531i
\(428\) 15.4758 15.4758i 0.748051 0.748051i
\(429\) −5.37372 −0.259446
\(430\) −1.37293 + 5.61580i −0.0662083 + 0.270818i
\(431\) 26.6497 + 26.6497i 1.28367 + 1.28367i 0.938564 + 0.345105i \(0.112157\pi\)
0.345105 + 0.938564i \(0.387843\pi\)
\(432\) −12.5412 12.5412i −0.603388 0.603388i
\(433\) 21.4618 12.3910i 1.03139 0.595471i 0.114005 0.993480i \(-0.463632\pi\)
0.917382 + 0.398009i \(0.130299\pi\)
\(434\) 28.0380i 1.34587i
\(435\) 1.41717 5.28896i 0.0679482 0.253586i
\(436\) 2.88300 10.7595i 0.138071 0.515287i
\(437\) 1.38876 + 5.18292i 0.0664333 + 0.247933i
\(438\) 14.6576 0.700365
\(439\) −0.0900299 0.335996i −0.00429689 0.0160362i 0.963744 0.266828i \(-0.0859756\pi\)
−0.968041 + 0.250792i \(0.919309\pi\)
\(440\) −1.35076 + 0.779863i −0.0643951 + 0.0371785i
\(441\) 5.94562 0.283125
\(442\) 4.62534 + 7.00456i 0.220005 + 0.333173i
\(443\) −6.29194 + 10.8980i −0.298939 + 0.517778i −0.975894 0.218247i \(-0.929966\pi\)
0.676954 + 0.736025i \(0.263299\pi\)
\(444\) 14.3515 + 8.28587i 0.681094 + 0.393230i
\(445\) 0.917231 + 3.42315i 0.0434809 + 0.162273i
\(446\) −20.3541 −0.963792
\(447\) 1.33482 + 4.98163i 0.0631350 + 0.235623i
\(448\) −3.66831 + 0.982920i −0.173311 + 0.0464386i
\(449\) −8.42096 + 31.4275i −0.397410 + 1.48315i 0.420227 + 0.907419i \(0.361950\pi\)
−0.817637 + 0.575734i \(0.804716\pi\)
\(450\) −9.36162 + 5.40493i −0.441311 + 0.254791i
\(451\) 13.3498i 0.628619i
\(452\) −12.7623 12.7623i −0.600289 0.600289i
\(453\) −11.0403 + 41.2028i −0.518717 + 1.93588i
\(454\) −34.7418 9.30905i −1.63051 0.436895i
\(455\) 0.950556 1.64641i 0.0445628 0.0771850i
\(456\) 0.682392 + 2.54672i 0.0319559 + 0.119261i
\(457\) 17.7541i 0.830502i −0.909707 0.415251i \(-0.863694\pi\)
0.909707 0.415251i \(-0.136306\pi\)
\(458\) −12.8759 + 22.3018i −0.601653 + 1.04209i
\(459\) 4.67515 + 14.0229i 0.218217 + 0.654532i
\(460\) 1.75451 3.03889i 0.0818043 0.141689i
\(461\) −14.3676 + 8.29516i −0.669168 + 0.386344i −0.795761 0.605611i \(-0.792929\pi\)
0.126593 + 0.991955i \(0.459596\pi\)
\(462\) −20.6249 + 20.6249i −0.959556 + 0.959556i
\(463\) 0.391471 + 0.678048i 0.0181932 + 0.0315116i 0.874979 0.484161i \(-0.160875\pi\)
−0.856785 + 0.515673i \(0.827542\pi\)
\(464\) −6.92136 25.8309i −0.321316 1.19917i
\(465\) −3.26620 3.26620i −0.151466 0.151466i
\(466\) 9.49286 2.54360i 0.439748 0.117830i
\(467\) −28.2326 + 16.3001i −1.30645 + 0.754280i −0.981502 0.191452i \(-0.938680\pi\)
−0.324949 + 0.945732i \(0.605347\pi\)
\(468\) 1.52486 0.880376i 0.0704865 0.0406954i
\(469\) −14.0582 14.0582i −0.649148 0.649148i
\(470\) −1.64596 + 6.14280i −0.0759224 + 0.283346i
\(471\) −9.57457 + 9.57457i −0.441173 + 0.441173i
\(472\) −3.49131 −0.160701
\(473\) 10.8846 + 10.4153i 0.500473 + 0.478897i
\(474\) 17.8101i 0.818043i
\(475\) −4.39096 −0.201471
\(476\) 16.9973 + 3.47726i 0.779068 + 0.159380i
\(477\) −5.62010 −0.257327
\(478\) 3.76623 2.17443i 0.172263 0.0994563i
\(479\) 33.5112 + 8.97930i 1.53117 + 0.410275i 0.923399 0.383840i \(-0.125399\pi\)
0.607767 + 0.794115i \(0.292065\pi\)
\(480\) 3.10114 5.37133i 0.141547 0.245167i
\(481\) −5.22660 + 5.22660i −0.238312 + 0.238312i
\(482\) −8.56912 + 2.29609i −0.390313 + 0.104584i
\(483\) −10.6339 + 39.6861i −0.483858 + 1.80578i
\(484\) 7.03767i 0.319894i
\(485\) −3.91094 + 2.25798i −0.177587 + 0.102530i
\(486\) 21.4558 5.74906i 0.973255 0.260783i
\(487\) 21.3284 5.71492i 0.966481 0.258968i 0.259139 0.965840i \(-0.416561\pi\)
0.707341 + 0.706872i \(0.249894\pi\)
\(488\) 0.230428 + 0.859969i 0.0104310 + 0.0389290i
\(489\) 9.13187 0.412958
\(490\) −1.07350 4.00634i −0.0484956 0.180988i
\(491\) −14.4994 8.37122i −0.654348 0.377788i 0.135772 0.990740i \(-0.456648\pi\)
−0.790120 + 0.612952i \(0.789982\pi\)
\(492\) 7.37886 + 12.7806i 0.332665 + 0.576192i
\(493\) −4.46706 + 21.8355i −0.201186 + 0.983421i
\(494\) 1.87824 0.0845060
\(495\) 1.42428i 0.0640167i
\(496\) −21.7907 5.83879i −0.978430 0.262170i
\(497\) 23.9342 + 41.4552i 1.07359 + 1.85952i
\(498\) −9.58200 35.7605i −0.429379 1.60247i
\(499\) 4.00116 1.07211i 0.179116 0.0479941i −0.168146 0.985762i \(-0.553778\pi\)
0.347262 + 0.937768i \(0.387111\pi\)
\(500\) 4.16363 + 4.16363i 0.186203 + 0.186203i
\(501\) 35.7147 + 20.6199i 1.59562 + 0.921230i
\(502\) −24.0248 13.8707i −1.07228 0.619080i
\(503\) −39.0377 + 10.4601i −1.74061 + 0.466394i −0.982581 0.185832i \(-0.940502\pi\)
−0.758024 + 0.652226i \(0.773835\pi\)
\(504\) −1.54874 + 5.77997i −0.0689863 + 0.257460i
\(505\) 1.49282 1.49282i 0.0664297 0.0664297i
\(506\) −12.0066 20.7960i −0.533757 0.924494i
\(507\) −6.26187 23.3696i −0.278099 1.03788i
\(508\) 9.46842i 0.420093i
\(509\) 3.31952 5.74957i 0.147135 0.254845i −0.783032 0.621981i \(-0.786328\pi\)
0.930167 + 0.367135i \(0.119661\pi\)
\(510\) −6.26357 + 4.13604i −0.277356 + 0.183147i
\(511\) 6.75640 + 11.7024i 0.298885 + 0.517685i
\(512\) 16.5981i 0.733538i
\(513\) 3.19488 + 0.856066i 0.141058 + 0.0377963i
\(514\) 7.74808 0.341753
\(515\) −1.59194 + 1.59194i −0.0701492 + 0.0701492i
\(516\) −16.1773 3.95495i −0.712166 0.174107i
\(517\) 11.7181 + 11.7181i 0.515363 + 0.515363i
\(518\) 40.1204i 1.76279i
\(519\) −17.7292 + 10.2359i −0.778224 + 0.449308i
\(520\) 0.543805 + 0.543805i 0.0238474 + 0.0238474i
\(521\) −0.174779 + 0.652284i −0.00765721 + 0.0285771i −0.969649 0.244502i \(-0.921375\pi\)
0.961992 + 0.273079i \(0.0880421\pi\)
\(522\) 11.8593 + 3.17768i 0.519066 + 0.139083i
\(523\) −5.70489 + 9.88117i −0.249458 + 0.432073i −0.963375 0.268156i \(-0.913586\pi\)
0.713918 + 0.700229i \(0.246919\pi\)
\(524\) 17.8341 17.8341i 0.779088 0.779088i
\(525\) −29.1176 16.8110i −1.27079 0.733694i
\(526\) −11.0330 19.1098i −0.481064 0.833227i
\(527\) 14.0682 + 12.4736i 0.612820 + 0.543359i
\(528\) −11.7343 20.3243i −0.510668 0.884502i
\(529\) −9.37472 5.41250i −0.407597 0.235326i
\(530\) 1.01472 + 3.78700i 0.0440767 + 0.164497i
\(531\) 1.59406 2.76100i 0.0691765 0.119817i
\(532\) 2.74507 2.74507i 0.119014 0.119014i
\(533\) −6.35812 + 1.70365i −0.275401 + 0.0737935i
\(534\) −25.8961 + 6.93884i −1.12063 + 0.300273i
\(535\) −7.55973 + 4.36461i −0.326836 + 0.188699i
\(536\) 6.96507 4.02129i 0.300845 0.173693i
\(537\) −14.9269 14.9269i −0.644141 0.644141i
\(538\) −13.2898 13.2898i −0.572964 0.572964i
\(539\) −10.4400 2.79738i −0.449681 0.120492i
\(540\) −1.08152 1.87325i −0.0465413 0.0806119i
\(541\) −6.29866 23.5069i −0.270801 1.01064i −0.958604 0.284744i \(-0.908091\pi\)
0.687803 0.725898i \(-0.258575\pi\)
\(542\) −13.5216 7.80669i −0.580802 0.335326i
\(543\) 9.13093 0.391846
\(544\) −11.2891 + 22.5813i −0.484016 + 0.968164i
\(545\) −2.22140 + 3.84757i −0.0951541 + 0.164812i
\(546\) 12.4551 + 7.19094i 0.533028 + 0.307744i
\(547\) 17.3901 + 4.65967i 0.743548 + 0.199233i 0.610654 0.791897i \(-0.290906\pi\)
0.132894 + 0.991130i \(0.457573\pi\)
\(548\) 19.5492 0.835099
\(549\) −0.785290 0.210418i −0.0335154 0.00898042i
\(550\) 18.9811 5.08598i 0.809358 0.216867i
\(551\) 3.52645 + 3.52645i 0.150232 + 0.150232i
\(552\) −14.3938 8.31027i −0.612641 0.353709i
\(553\) −14.2194 + 8.20955i −0.604668 + 0.349105i
\(554\) −0.537981 + 2.00777i −0.0228566 + 0.0853021i
\(555\) −4.67370 4.67370i −0.198387 0.198387i
\(556\) 19.2147 + 5.14857i 0.814886 + 0.218348i
\(557\) −36.9922 −1.56741 −0.783705 0.621133i \(-0.786673\pi\)
−0.783705 + 0.621133i \(0.786673\pi\)
\(558\) 7.32369 7.32369i 0.310037 0.310037i
\(559\) 3.57146 6.51316i 0.151057 0.275477i
\(560\) 8.30268 0.350852
\(561\) 1.17298 + 19.5242i 0.0495231 + 0.824313i
\(562\) −2.22386 3.85184i −0.0938079 0.162480i
\(563\) 28.1936i 1.18822i 0.804385 + 0.594108i \(0.202495\pi\)
−0.804385 + 0.594108i \(0.797505\pi\)
\(564\) −17.6954 4.74147i −0.745111 0.199652i
\(565\) 3.59933 + 6.23423i 0.151425 + 0.262276i
\(566\) −13.2333 49.3875i −0.556239 2.07591i
\(567\) 27.0805 + 27.0805i 1.13727 + 1.13727i
\(568\) −18.7043 + 5.01182i −0.784817 + 0.210291i
\(569\) 18.3515 10.5952i 0.769334 0.444175i −0.0633031 0.997994i \(-0.520163\pi\)
0.832637 + 0.553819i \(0.186830\pi\)
\(570\) 1.67955i 0.0703485i
\(571\) −0.168054 + 0.627185i −0.00703283 + 0.0262469i −0.969353 0.245672i \(-0.920991\pi\)
0.962320 + 0.271919i \(0.0876581\pi\)
\(572\) −3.09172 + 0.828423i −0.129271 + 0.0346381i
\(573\) −8.63653 32.2320i −0.360796 1.34651i
\(574\) −17.8643 + 30.9419i −0.745642 + 1.29149i
\(575\) 19.5728 19.5728i 0.816241 0.816241i
\(576\) 1.21493 + 0.701439i 0.0506220 + 0.0292266i
\(577\) 11.0281 19.1012i 0.459104 0.795192i −0.539809 0.841787i \(-0.681504\pi\)
0.998914 + 0.0465951i \(0.0148371\pi\)
\(578\) 24.4399 18.3341i 1.01657 0.762599i
\(579\) −9.90187 17.1505i −0.411508 0.712752i
\(580\) 3.26143i 0.135423i
\(581\) 24.1340 24.1340i 1.00124 1.00124i
\(582\) −17.0816 29.5862i −0.708055 1.22639i
\(583\) 9.86838 + 2.64422i 0.408706 + 0.109513i
\(584\) −5.28006 + 1.41479i −0.218491 + 0.0585444i
\(585\) −0.678343 + 0.181761i −0.0280460 + 0.00751491i
\(586\) 45.0418i 1.86066i
\(587\) 18.6347 + 10.7588i 0.769138 + 0.444062i 0.832567 0.553924i \(-0.186870\pi\)
−0.0634288 + 0.997986i \(0.520204\pi\)
\(588\) 11.5410 3.09240i 0.475942 0.127528i
\(589\) 4.06376 1.08888i 0.167444 0.0448666i
\(590\) −2.14826 0.575624i −0.0884424 0.0236981i
\(591\) 38.7495 1.59394
\(592\) −31.1809 8.35489i −1.28153 0.343384i
\(593\) 26.4822 + 15.2895i 1.08749 + 0.627864i 0.932908 0.360115i \(-0.117263\pi\)
0.154585 + 0.987979i \(0.450596\pi\)
\(594\) −14.8023 −0.607346
\(595\) −6.18936 3.09426i −0.253739 0.126852i
\(596\) 1.53596 + 2.66035i 0.0629152 + 0.108972i
\(597\) 20.3693 11.7602i 0.833662 0.481315i
\(598\) −8.37227 + 8.37227i −0.342368 + 0.342368i
\(599\) 11.7359 + 20.3271i 0.479514 + 0.830543i 0.999724 0.0234953i \(-0.00747948\pi\)
−0.520210 + 0.854039i \(0.674146\pi\)
\(600\) 9.61744 9.61744i 0.392630 0.392630i
\(601\) −22.2981 22.2981i −0.909559 0.909559i 0.0866771 0.996236i \(-0.472375\pi\)
−0.996236 + 0.0866771i \(0.972375\pi\)
\(602\) −11.2905 38.7058i −0.460168 1.57753i
\(603\) 7.34417i 0.299078i
\(604\) 25.4076i 1.03382i
\(605\) 0.726495 2.71132i 0.0295362 0.110231i
\(606\) 11.2932 + 11.2932i 0.458754 + 0.458754i
\(607\) 4.76121 + 1.27576i 0.193251 + 0.0517816i 0.354147 0.935190i \(-0.384771\pi\)
−0.160895 + 0.986972i \(0.551438\pi\)
\(608\) 2.82454 + 4.89226i 0.114550 + 0.198407i
\(609\) 9.88357 + 36.8860i 0.400503 + 1.49470i
\(610\) 0.567145i 0.0229630i
\(611\) 4.08557 7.07642i 0.165285 0.286281i
\(612\) −3.53150 5.34806i −0.142752 0.216183i
\(613\) −35.9855 −1.45344 −0.726720 0.686933i \(-0.758956\pi\)
−0.726720 + 0.686933i \(0.758956\pi\)
\(614\) 16.1564 9.32790i 0.652019 0.376443i
\(615\) −1.52343 5.68552i −0.0614307 0.229262i
\(616\) 5.43889 9.42043i 0.219139 0.379560i
\(617\) 3.40266 + 12.6989i 0.136986 + 0.511238i 0.999982 + 0.00602721i \(0.00191853\pi\)
−0.862996 + 0.505211i \(0.831415\pi\)
\(618\) −12.0430 12.0430i −0.484440 0.484440i
\(619\) 22.4983 6.02841i 0.904285 0.242302i 0.223429 0.974720i \(-0.428275\pi\)
0.680855 + 0.732418i \(0.261608\pi\)
\(620\) −2.38270 1.37565i −0.0956916 0.0552476i
\(621\) −18.0572 + 10.4253i −0.724608 + 0.418353i
\(622\) −13.5428 + 50.5425i −0.543018 + 2.02657i
\(623\) −17.4767 17.4767i −0.700189 0.700189i
\(624\) −8.18238 + 8.18238i −0.327557 + 0.327557i
\(625\) 10.7241 + 18.5747i 0.428965 + 0.742990i
\(626\) 35.9385 + 9.62968i 1.43639 + 0.384879i
\(627\) 3.79030 + 2.18833i 0.151370 + 0.0873936i
\(628\) −4.03261 + 6.98468i −0.160918 + 0.278719i
\(629\) 20.1306 + 17.8488i 0.802658 + 0.711679i
\(630\) −1.90593 + 3.30117i −0.0759340 + 0.131522i
\(631\) −28.1709 16.2645i −1.12146 0.647478i −0.179690 0.983723i \(-0.557510\pi\)
−0.941774 + 0.336245i \(0.890843\pi\)
\(632\) −1.71908 6.41569i −0.0683813 0.255202i
\(633\) −18.5724 32.1683i −0.738187 1.27858i
\(634\) −31.5072 + 31.5072i −1.25131 + 1.25131i
\(635\) −0.977419 + 3.64778i −0.0387877 + 0.144758i
\(636\) −10.9091 + 2.92309i −0.432574 + 0.115908i
\(637\) 5.32923i 0.211152i
\(638\) −19.3287 11.1594i −0.765230 0.441806i
\(639\) 4.57659 17.0801i 0.181047 0.675678i
\(640\) −1.30153 + 4.85736i −0.0514473 + 0.192004i
\(641\) 34.3539 34.3539i 1.35690 1.35690i 0.479184 0.877715i \(-0.340933\pi\)
0.877715 0.479184i \(-0.159067\pi\)
\(642\) −33.0182 57.1892i −1.30312 2.25708i
\(643\) −13.8196 + 13.8196i −0.544992 + 0.544992i −0.924988 0.379996i \(-0.875925\pi\)
0.379996 + 0.924988i \(0.375925\pi\)
\(644\) 24.4724i 0.964347i
\(645\) 5.82416 + 3.19365i 0.229326 + 0.125750i
\(646\) −0.409983 6.82417i −0.0161306 0.268493i
\(647\) 35.5288 1.39678 0.698391 0.715716i \(-0.253900\pi\)
0.698391 + 0.715716i \(0.253900\pi\)
\(648\) −13.4169 + 7.74625i −0.527066 + 0.304301i
\(649\) −4.09806 + 4.09806i −0.160863 + 0.160863i
\(650\) −4.84460 8.39109i −0.190021 0.329126i
\(651\) 31.1167 + 8.33768i 1.21956 + 0.326780i
\(652\) 5.25394 1.40779i 0.205760 0.0551333i
\(653\) 5.24960 + 5.24960i 0.205433 + 0.205433i 0.802323 0.596890i \(-0.203597\pi\)
−0.596890 + 0.802323i \(0.703597\pi\)
\(654\) −29.1068 16.8048i −1.13817 0.657120i
\(655\) −8.71175 + 5.02973i −0.340396 + 0.196528i
\(656\) −20.3273 20.3273i −0.793650 0.793650i
\(657\) 1.29193 4.82155i 0.0504030 0.188107i
\(658\) −11.4792 42.8408i −0.447504 1.67011i
\(659\) −15.0858 + 26.1294i −0.587660 + 1.01786i 0.406878 + 0.913482i \(0.366617\pi\)
−0.994538 + 0.104374i \(0.966716\pi\)
\(660\) −0.740788 2.76466i −0.0288351 0.107614i
\(661\) 24.0007i 0.933520i −0.884384 0.466760i \(-0.845421\pi\)
0.884384 0.466760i \(-0.154579\pi\)
\(662\) −3.12165 + 5.40685i −0.121326 + 0.210143i
\(663\) 9.14911 3.05026i 0.355322 0.118462i
\(664\) 6.90341 + 11.9571i 0.267904 + 0.464024i
\(665\) −1.34093 + 0.774188i −0.0519991 + 0.0300217i
\(666\) 10.4797 10.4797i 0.406079 0.406079i
\(667\) −31.4384 −1.21730
\(668\) 23.7270 + 6.35762i 0.918023 + 0.245984i
\(669\) −6.05270 + 22.5890i −0.234011 + 0.873340i
\(670\) 4.94873 1.32601i 0.191186 0.0512281i
\(671\) 1.27990 + 0.738949i 0.0494099 + 0.0285268i
\(672\) 43.2557i 1.66862i
\(673\) −8.18049 + 2.19195i −0.315335 + 0.0844936i −0.413015 0.910724i \(-0.635524\pi\)
0.0976805 + 0.995218i \(0.468858\pi\)
\(674\) −22.5885 + 6.05258i −0.870078 + 0.233137i
\(675\) −4.41615 16.4813i −0.169978 0.634366i
\(676\) −7.20542 12.4802i −0.277131 0.480006i
\(677\) −28.3363 + 28.3363i −1.08905 + 1.08905i −0.0934242 + 0.995626i \(0.529781\pi\)
−0.995626 + 0.0934242i \(0.970219\pi\)
\(678\) −47.1618 + 27.2289i −1.81124 + 1.04572i
\(679\) 15.7475 27.2755i 0.604335 1.04674i
\(680\) 1.85709 2.09450i 0.0712163 0.0803203i
\(681\) −20.6624 + 35.7883i −0.791785 + 1.37141i
\(682\) −16.3055 + 9.41398i −0.624369 + 0.360480i
\(683\) −21.0901 5.65107i −0.806989 0.216232i −0.168339 0.985729i \(-0.553840\pi\)
−0.638650 + 0.769497i \(0.720507\pi\)
\(684\) −1.43406 −0.0548326
\(685\) −7.53146 2.01805i −0.287762 0.0771056i
\(686\) −9.97976 9.97976i −0.381029 0.381029i
\(687\) 20.9216 + 20.9216i 0.798210 + 0.798210i
\(688\) 32.4327 0.714512i 1.23648 0.0272405i
\(689\) 5.03746i 0.191912i
\(690\) −7.48660 7.48660i −0.285010 0.285010i
\(691\) 6.14387 22.9292i 0.233724 0.872269i −0.744996 0.667069i \(-0.767549\pi\)
0.978720 0.205200i \(-0.0657846\pi\)
\(692\) −8.62232 + 8.62232i −0.327771 + 0.327771i
\(693\) 4.96658 + 8.60237i 0.188665 + 0.326777i
\(694\) 16.9551 + 4.54311i 0.643608 + 0.172454i
\(695\) −6.87113 3.96705i −0.260637 0.150479i
\(696\) −15.4478 −0.585549
\(697\) 7.57771 + 22.7290i 0.287026 + 0.860921i
\(698\) −17.5667 30.4264i −0.664908 1.15165i
\(699\) 11.2916i 0.427087i
\(700\) −19.3441 5.18325i −0.731140 0.195908i
\(701\) 3.74272 6.48258i 0.141361 0.244844i −0.786649 0.617401i \(-0.788186\pi\)
0.928009 + 0.372557i \(0.121519\pi\)
\(702\) 1.88902 + 7.04990i 0.0712963 + 0.266081i
\(703\) 5.81495 1.55811i 0.219315 0.0587653i
\(704\) −1.80328 1.80328i −0.0679636 0.0679636i
\(705\) 6.32783 + 3.65337i 0.238320 + 0.137594i
\(706\) −10.3662 5.98493i −0.390137 0.225246i
\(707\) −3.81075 + 14.2219i −0.143318 + 0.534871i
\(708\) 1.65819 6.18844i 0.0623185 0.232576i
\(709\) −18.3565 + 18.3565i −0.689393 + 0.689393i −0.962098 0.272705i \(-0.912082\pi\)
0.272705 + 0.962098i \(0.412082\pi\)
\(710\) −12.3354 −0.462940
\(711\) 5.85856 + 1.56980i 0.219713 + 0.0588719i
\(712\) 8.65874 4.99913i 0.324500 0.187350i
\(713\) −13.2606 + 22.9680i −0.496612 + 0.860157i
\(714\) 23.4080 46.8224i 0.876022 1.75228i
\(715\) 1.27663 0.0477431
\(716\) −10.8892 6.28687i −0.406948 0.234951i
\(717\) −1.29323 4.82638i −0.0482964 0.180245i
\(718\) 20.0552 34.7366i 0.748453 1.29636i
\(719\) −2.50733 0.671838i −0.0935078 0.0250553i 0.211762 0.977321i \(-0.432080\pi\)
−0.305270 + 0.952266i \(0.598747\pi\)
\(720\) −2.16871 2.16871i −0.0808229 0.0808229i
\(721\) 4.06377 15.1662i 0.151343 0.564819i
\(722\) 28.2472 + 16.3085i 1.05125 + 0.606940i
\(723\) 10.1928i 0.379075i
\(724\) 5.25339 1.40764i 0.195241 0.0523146i
\(725\) 6.65865 24.8504i 0.247296 0.922921i
\(726\) 20.5110 + 5.49592i 0.761236 + 0.203973i
\(727\) 23.1798 0.859693 0.429846 0.902902i \(-0.358568\pi\)
0.429846 + 0.902902i \(0.358568\pi\)
\(728\) −5.18076 1.38818i −0.192012 0.0514494i
\(729\) 8.06134i 0.298568i
\(730\) −3.48217 −0.128881
\(731\) −24.4437 11.5544i −0.904084 0.427356i
\(732\) −1.63376 −0.0603855
\(733\) 3.42175i 0.126385i 0.998001 + 0.0631926i \(0.0201283\pi\)
−0.998001 + 0.0631926i \(0.979872\pi\)
\(734\) 5.81086 + 1.55701i 0.214483 + 0.0574704i
\(735\) −4.76547 −0.175777
\(736\) −34.3977 9.21684i −1.26792 0.339737i
\(737\) 3.45539 12.8957i 0.127281 0.475019i
\(738\) 12.7485 3.41594i 0.469277 0.125743i
\(739\) 15.4722i 0.569155i −0.958653 0.284577i \(-0.908147\pi\)
0.958653 0.284577i \(-0.0918533\pi\)
\(740\) −3.40947 1.96846i −0.125335 0.0723621i
\(741\) 0.558533 2.08447i 0.0205182 0.0765751i
\(742\) −19.3343 19.3343i −0.709783 0.709783i
\(743\) 15.7645 + 4.22409i 0.578344 + 0.154967i 0.536120 0.844141i \(-0.319889\pi\)
0.0422232 + 0.999108i \(0.486556\pi\)
\(744\) −6.51583 + 11.2857i −0.238882 + 0.413755i
\(745\) −0.317112 1.18348i −0.0116181 0.0433592i
\(746\) 4.45909 + 2.57445i 0.163259 + 0.0942575i
\(747\) −12.6079 −0.461297
\(748\) 3.68476 + 11.0523i 0.134728 + 0.404110i
\(749\) 30.4395 52.7227i 1.11223 1.92645i
\(750\) 15.3863 8.88326i 0.561826 0.324371i
\(751\) −24.4179 6.54275i −0.891021 0.238748i −0.215865 0.976423i \(-0.569257\pi\)
−0.675156 + 0.737675i \(0.735924\pi\)
\(752\) 35.6856 1.30132
\(753\) −22.5380 + 22.5380i −0.821330 + 0.821330i
\(754\) −2.84825 + 10.6298i −0.103727 + 0.387114i
\(755\) 2.62282 9.78848i 0.0954540 0.356239i
\(756\) 13.0643 + 7.54270i 0.475146 + 0.274326i
\(757\) 21.0624 + 12.1604i 0.765525 +