Properties

Label 114.2.i.c.73.1
Level $114$
Weight $2$
Character 114.73
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 73.1
Root \(-0.766044 - 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 114.73
Dual form 114.2.i.c.25.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.613341 + 3.47843i) q^{5} +(0.939693 + 0.342020i) q^{6} +(-1.85844 - 3.21891i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(0.939693 - 0.342020i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.613341 + 3.47843i) q^{5} +(0.939693 + 0.342020i) q^{6} +(-1.85844 - 3.21891i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.766044 - 0.642788i) q^{9} +(-2.70574 + 2.27038i) q^{10} +(2.64543 - 4.58202i) q^{11} +(0.500000 + 0.866025i) q^{12} +(0.213011 + 0.0775297i) q^{13} +(0.645430 - 3.66041i) q^{14} +(0.613341 + 3.47843i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-1.26604 - 1.06234i) q^{17} +1.00000 q^{18} +(-4.17752 - 1.24432i) q^{19} -3.53209 q^{20} +(-2.84730 - 2.38917i) q^{21} +(4.97178 - 1.80958i) q^{22} +(1.50727 + 8.54818i) q^{23} +(-0.173648 + 0.984808i) q^{24} +(-7.02481 - 2.55682i) q^{25} +(0.113341 + 0.196312i) q^{26} +(0.500000 - 0.866025i) q^{27} +(2.84730 - 2.38917i) q^{28} +(0.0923963 - 0.0775297i) q^{29} +(-1.76604 + 3.05888i) q^{30} +(-1.56031 - 2.70253i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.918748 - 5.21048i) q^{33} +(-0.286989 - 1.62760i) q^{34} +(12.3366 - 4.49016i) q^{35} +(0.766044 + 0.642788i) q^{36} +5.12836 q^{37} +(-2.40033 - 3.63846i) q^{38} +0.226682 q^{39} +(-2.70574 - 2.27038i) q^{40} +(-6.67752 + 2.43042i) q^{41} +(-0.645430 - 3.66041i) q^{42} +(-0.929892 + 5.27368i) q^{43} +(4.97178 + 1.80958i) q^{44} +(1.76604 + 3.05888i) q^{45} +(-4.34002 + 7.51714i) q^{46} +(-1.92262 + 1.61327i) q^{47} +(-0.766044 + 0.642788i) q^{48} +(-3.40760 + 5.90214i) q^{49} +(-3.73783 - 6.47410i) q^{50} +(-1.55303 - 0.565258i) q^{51} +(-0.0393628 + 0.223238i) q^{52} +(1.03074 + 5.84564i) q^{53} +(0.939693 - 0.342020i) q^{54} +(14.3157 + 12.0123i) q^{55} +3.71688 q^{56} +(-4.35117 + 0.259515i) q^{57} +0.120615 q^{58} +(0.167718 + 0.140732i) q^{59} +(-3.31908 + 1.20805i) q^{60} +(-0.273318 - 1.55007i) q^{61} +(0.541889 - 3.07321i) q^{62} +(-3.49273 - 1.27125i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-0.400330 + 0.693392i) q^{65} +(4.05303 - 3.40090i) q^{66} +(11.8589 - 9.95080i) q^{67} +(0.826352 - 1.43128i) q^{68} +(4.34002 + 7.51714i) q^{69} +(12.3366 + 4.49016i) q^{70} +(-0.235300 + 1.33445i) q^{71} +(0.173648 + 0.984808i) q^{72} +(-2.27972 + 0.829748i) q^{73} +(3.92855 + 3.29644i) q^{74} -7.47565 q^{75} +(0.500000 - 4.33013i) q^{76} -19.6655 q^{77} +(0.173648 + 0.145708i) q^{78} +(2.69207 - 0.979832i) q^{79} +(-0.613341 - 3.47843i) q^{80} +(0.173648 - 0.984808i) q^{81} +(-6.67752 - 2.43042i) q^{82} +(-0.960637 - 1.66387i) q^{83} +(1.85844 - 3.21891i) q^{84} +(4.47178 - 3.75227i) q^{85} +(-4.10220 + 3.44215i) q^{86} +(0.0603074 - 0.104455i) q^{87} +(2.64543 + 4.58202i) q^{88} +(11.4226 + 4.15749i) q^{89} +(-0.613341 + 3.47843i) q^{90} +(-0.146307 - 0.829748i) q^{91} +(-8.15657 + 2.96875i) q^{92} +(-2.39053 - 2.00589i) q^{93} -2.50980 q^{94} +(6.89053 - 13.7680i) q^{95} -1.00000 q^{96} +(13.4081 + 11.2507i) q^{97} +(-6.40420 + 2.33094i) q^{98} +(-0.918748 - 5.21048i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 3q^{5} - 3q^{7} - 3q^{8} + O(q^{10}) \) \( 6q + 3q^{5} - 3q^{7} - 3q^{8} - 6q^{10} + 3q^{12} + 9q^{13} - 12q^{14} - 3q^{15} - 3q^{17} + 6q^{18} - 12q^{20} - 15q^{21} + 15q^{22} + 27q^{23} - 15q^{25} - 6q^{26} + 3q^{27} + 15q^{28} - 3q^{29} - 6q^{30} - 15q^{31} + 3q^{33} + 6q^{34} + 12q^{35} - 6q^{37} - 12q^{39} - 6q^{40} - 15q^{41} + 12q^{42} + 3q^{43} + 15q^{44} + 6q^{45} - 6q^{46} + 15q^{47} - 24q^{49} - 3q^{50} + 3q^{51} - 9q^{52} + 6q^{53} + 27q^{55} + 6q^{56} + 12q^{58} - 27q^{59} - 3q^{60} - 15q^{61} - 3q^{62} - 3q^{63} - 3q^{64} + 12q^{65} + 12q^{66} - 3q^{67} + 6q^{68} + 6q^{69} + 12q^{70} + 3q^{71} + 12q^{73} + 24q^{74} - 6q^{75} + 3q^{76} - 42q^{77} + 27q^{79} + 3q^{80} - 15q^{82} + 3q^{83} + 3q^{84} + 12q^{85} - 24q^{86} + 6q^{87} + 42q^{89} + 3q^{90} - 42q^{91} - 27q^{92} + 3q^{93} - 18q^{94} + 24q^{95} - 6q^{96} + 18q^{97} - 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) 0.939693 0.342020i 0.542532 0.197465i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −0.613341 + 3.47843i −0.274294 + 1.55560i 0.466900 + 0.884310i \(0.345371\pi\)
−0.741194 + 0.671290i \(0.765740\pi\)
\(6\) 0.939693 + 0.342020i 0.383628 + 0.139629i
\(7\) −1.85844 3.21891i −0.702425 1.21664i −0.967613 0.252438i \(-0.918767\pi\)
0.265188 0.964197i \(-0.414566\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 0.766044 0.642788i 0.255348 0.214263i
\(10\) −2.70574 + 2.27038i −0.855629 + 0.717958i
\(11\) 2.64543 4.58202i 0.797627 1.38153i −0.123531 0.992341i \(-0.539422\pi\)
0.921158 0.389190i \(-0.127245\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) 0.213011 + 0.0775297i 0.0590786 + 0.0215029i 0.371390 0.928477i \(-0.378881\pi\)
−0.312312 + 0.949980i \(0.601103\pi\)
\(14\) 0.645430 3.66041i 0.172498 0.978287i
\(15\) 0.613341 + 3.47843i 0.158364 + 0.898126i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −1.26604 1.06234i −0.307061 0.257655i 0.476215 0.879329i \(-0.342008\pi\)
−0.783276 + 0.621674i \(0.786453\pi\)
\(18\) 1.00000 0.235702
\(19\) −4.17752 1.24432i −0.958388 0.285467i
\(20\) −3.53209 −0.789799
\(21\) −2.84730 2.38917i −0.621331 0.521359i
\(22\) 4.97178 1.80958i 1.05999 0.385804i
\(23\) 1.50727 + 8.54818i 0.314288 + 1.78242i 0.576182 + 0.817321i \(0.304542\pi\)
−0.261894 + 0.965097i \(0.584347\pi\)
\(24\) −0.173648 + 0.984808i −0.0354458 + 0.201023i
\(25\) −7.02481 2.55682i −1.40496 0.511365i
\(26\) 0.113341 + 0.196312i 0.0222280 + 0.0385000i
\(27\) 0.500000 0.866025i 0.0962250 0.166667i
\(28\) 2.84730 2.38917i 0.538088 0.451510i
\(29\) 0.0923963 0.0775297i 0.0171576 0.0143969i −0.634169 0.773195i \(-0.718657\pi\)
0.651326 + 0.758798i \(0.274213\pi\)
\(30\) −1.76604 + 3.05888i −0.322434 + 0.558472i
\(31\) −1.56031 2.70253i −0.280239 0.485389i 0.691204 0.722660i \(-0.257081\pi\)
−0.971444 + 0.237271i \(0.923747\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 0.918748 5.21048i 0.159934 0.907028i
\(34\) −0.286989 1.62760i −0.0492182 0.279130i
\(35\) 12.3366 4.49016i 2.08527 0.758976i
\(36\) 0.766044 + 0.642788i 0.127674 + 0.107131i
\(37\) 5.12836 0.843096 0.421548 0.906806i \(-0.361487\pi\)
0.421548 + 0.906806i \(0.361487\pi\)
\(38\) −2.40033 3.63846i −0.389385 0.590237i
\(39\) 0.226682 0.0362981
\(40\) −2.70574 2.27038i −0.427815 0.358979i
\(41\) −6.67752 + 2.43042i −1.04285 + 0.379568i −0.805961 0.591968i \(-0.798351\pi\)
−0.236892 + 0.971536i \(0.576129\pi\)
\(42\) −0.645430 3.66041i −0.0995920 0.564814i
\(43\) −0.929892 + 5.27368i −0.141807 + 0.804229i 0.828068 + 0.560627i \(0.189440\pi\)
−0.969875 + 0.243602i \(0.921671\pi\)
\(44\) 4.97178 + 1.80958i 0.749524 + 0.272805i
\(45\) 1.76604 + 3.05888i 0.263266 + 0.455991i
\(46\) −4.34002 + 7.51714i −0.639901 + 1.10834i
\(47\) −1.92262 + 1.61327i −0.280443 + 0.235319i −0.772149 0.635442i \(-0.780818\pi\)
0.491706 + 0.870761i \(0.336374\pi\)
\(48\) −0.766044 + 0.642788i −0.110569 + 0.0927784i
\(49\) −3.40760 + 5.90214i −0.486801 + 0.843163i
\(50\) −3.73783 6.47410i −0.528608 0.915577i
\(51\) −1.55303 0.565258i −0.217468 0.0791519i
\(52\) −0.0393628 + 0.223238i −0.00545864 + 0.0309575i
\(53\) 1.03074 + 5.84564i 0.141584 + 0.802961i 0.970047 + 0.242918i \(0.0781044\pi\)
−0.828463 + 0.560043i \(0.810784\pi\)
\(54\) 0.939693 0.342020i 0.127876 0.0465430i
\(55\) 14.3157 + 12.0123i 1.93033 + 1.61974i
\(56\) 3.71688 0.496689
\(57\) −4.35117 + 0.259515i −0.576326 + 0.0343736i
\(58\) 0.120615 0.0158375
\(59\) 0.167718 + 0.140732i 0.0218351 + 0.0183218i 0.653640 0.756806i \(-0.273241\pi\)
−0.631805 + 0.775128i \(0.717686\pi\)
\(60\) −3.31908 + 1.20805i −0.428491 + 0.155958i
\(61\) −0.273318 1.55007i −0.0349948 0.198466i 0.962298 0.271997i \(-0.0876841\pi\)
−0.997293 + 0.0735316i \(0.976573\pi\)
\(62\) 0.541889 3.07321i 0.0688200 0.390298i
\(63\) −3.49273 1.27125i −0.440042 0.160162i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −0.400330 + 0.693392i −0.0496548 + 0.0860046i
\(66\) 4.05303 3.40090i 0.498894 0.418622i
\(67\) 11.8589 9.95080i 1.44880 1.21568i 0.515343 0.856984i \(-0.327664\pi\)
0.933453 0.358701i \(-0.116780\pi\)
\(68\) 0.826352 1.43128i 0.100210 0.173569i
\(69\) 4.34002 + 7.51714i 0.522477 + 0.904957i
\(70\) 12.3366 + 4.49016i 1.47451 + 0.536677i
\(71\) −0.235300 + 1.33445i −0.0279249 + 0.158370i −0.995582 0.0939008i \(-0.970066\pi\)
0.967657 + 0.252271i \(0.0811775\pi\)
\(72\) 0.173648 + 0.984808i 0.0204646 + 0.116061i
\(73\) −2.27972 + 0.829748i −0.266820 + 0.0971147i −0.471966 0.881617i \(-0.656455\pi\)
0.205145 + 0.978731i \(0.434233\pi\)
\(74\) 3.92855 + 3.29644i 0.456684 + 0.383204i
\(75\) −7.47565 −0.863214
\(76\) 0.500000 4.33013i 0.0573539 0.496700i
\(77\) −19.6655 −2.24109
\(78\) 0.173648 + 0.145708i 0.0196618 + 0.0164982i
\(79\) 2.69207 0.979832i 0.302881 0.110240i −0.186109 0.982529i \(-0.559588\pi\)
0.488990 + 0.872289i \(0.337365\pi\)
\(80\) −0.613341 3.47843i −0.0685736 0.388900i
\(81\) 0.173648 0.984808i 0.0192942 0.109423i
\(82\) −6.67752 2.43042i −0.737409 0.268395i
\(83\) −0.960637 1.66387i −0.105444 0.182634i 0.808476 0.588530i \(-0.200293\pi\)
−0.913919 + 0.405896i \(0.866960\pi\)
\(84\) 1.85844 3.21891i 0.202773 0.351212i
\(85\) 4.47178 3.75227i 0.485033 0.406991i
\(86\) −4.10220 + 3.44215i −0.442351 + 0.371177i
\(87\) 0.0603074 0.104455i 0.00646563 0.0111988i
\(88\) 2.64543 + 4.58202i 0.282004 + 0.488445i
\(89\) 11.4226 + 4.15749i 1.21080 + 0.440693i 0.866980 0.498344i \(-0.166058\pi\)
0.343816 + 0.939037i \(0.388280\pi\)
\(90\) −0.613341 + 3.47843i −0.0646518 + 0.366659i
\(91\) −0.146307 0.829748i −0.0153371 0.0869813i
\(92\) −8.15657 + 2.96875i −0.850382 + 0.309514i
\(93\) −2.39053 2.00589i −0.247886 0.208001i
\(94\) −2.50980 −0.258866
\(95\) 6.89053 13.7680i 0.706953 1.41257i
\(96\) −1.00000 −0.102062
\(97\) 13.4081 + 11.2507i 1.36138 + 1.14234i 0.975552 + 0.219767i \(0.0705296\pi\)
0.385831 + 0.922570i \(0.373915\pi\)
\(98\) −6.40420 + 2.33094i −0.646922 + 0.235460i
\(99\) −0.918748 5.21048i −0.0923377 0.523673i
\(100\) 1.29813 7.36208i 0.129813 0.736208i
\(101\) −14.1099 5.13560i −1.40399 0.511011i −0.474631 0.880185i \(-0.657418\pi\)
−0.929360 + 0.369174i \(0.879641\pi\)
\(102\) −0.826352 1.43128i −0.0818210 0.141718i
\(103\) −3.33022 + 5.76811i −0.328137 + 0.568349i −0.982142 0.188141i \(-0.939754\pi\)
0.654006 + 0.756490i \(0.273087\pi\)
\(104\) −0.173648 + 0.145708i −0.0170276 + 0.0142879i
\(105\) 10.0569 8.43874i 0.981453 0.823537i
\(106\) −2.96791 + 5.14057i −0.288269 + 0.499297i
\(107\) −4.04323 7.00309i −0.390874 0.677014i 0.601691 0.798729i \(-0.294494\pi\)
−0.992565 + 0.121715i \(0.961161\pi\)
\(108\) 0.939693 + 0.342020i 0.0904220 + 0.0329109i
\(109\) 2.64796 15.0173i 0.253628 1.43840i −0.545941 0.837823i \(-0.683828\pi\)
0.799570 0.600573i \(-0.205061\pi\)
\(110\) 3.24510 + 18.4039i 0.309408 + 1.75474i
\(111\) 4.81908 1.75400i 0.457407 0.166482i
\(112\) 2.84730 + 2.38917i 0.269044 + 0.225755i
\(113\) 0.815207 0.0766883 0.0383441 0.999265i \(-0.487792\pi\)
0.0383441 + 0.999265i \(0.487792\pi\)
\(114\) −3.50000 2.59808i −0.327805 0.243332i
\(115\) −30.6587 −2.85894
\(116\) 0.0923963 + 0.0775297i 0.00857878 + 0.00719845i
\(117\) 0.213011 0.0775297i 0.0196929 0.00716762i
\(118\) 0.0380187 + 0.215615i 0.00349990 + 0.0198489i
\(119\) −1.06670 + 6.04958i −0.0977846 + 0.554564i
\(120\) −3.31908 1.20805i −0.302989 0.110279i
\(121\) −8.49660 14.7165i −0.772418 1.33787i
\(122\) 0.786989 1.36310i 0.0712506 0.123410i
\(123\) −5.44356 + 4.56769i −0.490830 + 0.411855i
\(124\) 2.39053 2.00589i 0.214676 0.180134i
\(125\) 4.37211 7.57272i 0.391054 0.677325i
\(126\) −1.85844 3.21891i −0.165563 0.286764i
\(127\) −10.3969 3.78417i −0.922578 0.335791i −0.163314 0.986574i \(-0.552218\pi\)
−0.759264 + 0.650783i \(0.774441\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) 0.929892 + 5.27368i 0.0818725 + 0.464322i
\(130\) −0.752374 + 0.273842i −0.0659876 + 0.0240175i
\(131\) −11.0307 9.25589i −0.963761 0.808691i 0.0178001 0.999842i \(-0.494334\pi\)
−0.981561 + 0.191150i \(0.938778\pi\)
\(132\) 5.29086 0.460510
\(133\) 3.75830 + 15.7596i 0.325886 + 1.36653i
\(134\) 15.4807 1.33733
\(135\) 2.70574 + 2.27038i 0.232873 + 0.195403i
\(136\) 1.55303 0.565258i 0.133172 0.0484705i
\(137\) −0.0821293 0.465778i −0.00701678 0.0397941i 0.981098 0.193510i \(-0.0619871\pi\)
−0.988115 + 0.153716i \(0.950876\pi\)
\(138\) −1.50727 + 8.54818i −0.128308 + 0.727669i
\(139\) 9.57057 + 3.48340i 0.811766 + 0.295458i 0.714353 0.699786i \(-0.246721\pi\)
0.0974126 + 0.995244i \(0.468943\pi\)
\(140\) 6.56418 + 11.3695i 0.554774 + 0.960897i
\(141\) −1.25490 + 2.17355i −0.105682 + 0.183046i
\(142\) −1.03802 + 0.871001i −0.0871086 + 0.0730928i
\(143\) 0.918748 0.770921i 0.0768296 0.0644677i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 0.213011 + 0.368946i 0.0176896 + 0.0306393i
\(146\) −2.27972 0.829748i −0.188671 0.0686705i
\(147\) −1.18345 + 6.71167i −0.0976092 + 0.553569i
\(148\) 0.890530 + 5.05044i 0.0732011 + 0.415144i
\(149\) −4.58987 + 1.67058i −0.376017 + 0.136859i −0.523113 0.852263i \(-0.675229\pi\)
0.147096 + 0.989122i \(0.453007\pi\)
\(150\) −5.72668 4.80526i −0.467582 0.392348i
\(151\) 9.04189 0.735818 0.367909 0.929862i \(-0.380074\pi\)
0.367909 + 0.929862i \(0.380074\pi\)
\(152\) 3.16637 2.99568i 0.256827 0.242981i
\(153\) −1.65270 −0.133613
\(154\) −15.0646 12.6407i −1.21394 1.01862i
\(155\) 10.3576 3.76984i 0.831940 0.302801i
\(156\) 0.0393628 + 0.223238i 0.00315155 + 0.0178733i
\(157\) 0.0577812 0.327693i 0.00461144 0.0261528i −0.982415 0.186709i \(-0.940218\pi\)
0.987027 + 0.160556i \(0.0513289\pi\)
\(158\) 2.69207 + 0.979832i 0.214169 + 0.0779513i
\(159\) 2.96791 + 5.14057i 0.235371 + 0.407674i
\(160\) 1.76604 3.05888i 0.139618 0.241826i
\(161\) 24.7147 20.7381i 1.94779 1.63439i
\(162\) 0.766044 0.642788i 0.0601861 0.0505022i
\(163\) −1.97044 + 3.41290i −0.154337 + 0.267319i −0.932817 0.360350i \(-0.882657\pi\)
0.778481 + 0.627669i \(0.215991\pi\)
\(164\) −3.55303 6.15403i −0.277445 0.480549i
\(165\) 17.5608 + 6.39160i 1.36710 + 0.497585i
\(166\) 0.333626 1.89209i 0.0258944 0.146854i
\(167\) 1.04071 + 5.90214i 0.0805323 + 0.456722i 0.998232 + 0.0594456i \(0.0189333\pi\)
−0.917699 + 0.397276i \(0.869956\pi\)
\(168\) 3.49273 1.27125i 0.269470 0.0980789i
\(169\) −9.91921 8.32321i −0.763017 0.640247i
\(170\) 5.83750 0.447716
\(171\) −4.00000 + 1.73205i −0.305888 + 0.132453i
\(172\) −5.35504 −0.408318
\(173\) 9.39306 + 7.88171i 0.714141 + 0.599235i 0.925758 0.378117i \(-0.123428\pi\)
−0.211617 + 0.977353i \(0.567873\pi\)
\(174\) 0.113341 0.0412527i 0.00859234 0.00312736i
\(175\) 4.82501 + 27.3640i 0.364736 + 2.06852i
\(176\) −0.918748 + 5.21048i −0.0692532 + 0.392755i
\(177\) 0.205737 + 0.0748822i 0.0154641 + 0.00562849i
\(178\) 6.07785 + 10.5271i 0.455554 + 0.789043i
\(179\) −4.03209 + 6.98378i −0.301372 + 0.521992i −0.976447 0.215757i \(-0.930778\pi\)
0.675075 + 0.737749i \(0.264111\pi\)
\(180\) −2.70574 + 2.27038i −0.201674 + 0.169224i
\(181\) 0.145430 0.122030i 0.0108097 0.00907042i −0.637367 0.770561i \(-0.719976\pi\)
0.648176 + 0.761490i \(0.275532\pi\)
\(182\) 0.421274 0.729669i 0.0312269 0.0540866i
\(183\) −0.786989 1.36310i −0.0581759 0.100764i
\(184\) −8.15657 2.96875i −0.601311 0.218859i
\(185\) −3.14543 + 17.8386i −0.231257 + 1.31152i
\(186\) −0.541889 3.07321i −0.0397332 0.225338i
\(187\) −8.21688 + 2.99070i −0.600878 + 0.218702i
\(188\) −1.92262 1.61327i −0.140221 0.117660i
\(189\) −3.71688 −0.270363
\(190\) 14.1284 6.11776i 1.02498 0.443829i
\(191\) 18.0378 1.30517 0.652584 0.757717i \(-0.273685\pi\)
0.652584 + 0.757717i \(0.273685\pi\)
\(192\) −0.766044 0.642788i −0.0552845 0.0463892i
\(193\) 16.3871 5.96443i 1.17957 0.429329i 0.323521 0.946221i \(-0.395133\pi\)
0.856050 + 0.516892i \(0.172911\pi\)
\(194\) 3.03936 + 17.2371i 0.218214 + 1.23755i
\(195\) −0.139033 + 0.788496i −0.00995637 + 0.0564654i
\(196\) −6.40420 2.33094i −0.457443 0.166496i
\(197\) 5.24035 + 9.07656i 0.373360 + 0.646678i 0.990080 0.140504i \(-0.0448724\pi\)
−0.616720 + 0.787182i \(0.711539\pi\)
\(198\) 2.64543 4.58202i 0.188003 0.325630i
\(199\) −10.4593 + 8.77639i −0.741440 + 0.622142i −0.933224 0.359295i \(-0.883017\pi\)
0.191784 + 0.981437i \(0.438573\pi\)
\(200\) 5.72668 4.80526i 0.404938 0.339783i
\(201\) 7.74035 13.4067i 0.545962 0.945635i
\(202\) −7.50774 13.0038i −0.528243 0.914943i
\(203\) −0.421274 0.153331i −0.0295677 0.0107617i
\(204\) 0.286989 1.62760i 0.0200932 0.113954i
\(205\) −4.35844 24.7179i −0.304407 1.72638i
\(206\) −6.25877 + 2.27801i −0.436069 + 0.158716i
\(207\) 6.64930 + 5.57943i 0.462158 + 0.387797i
\(208\) −0.226682 −0.0157175
\(209\) −16.7528 + 15.8497i −1.15882 + 1.09635i
\(210\) 13.1284 0.905943
\(211\) −12.2023 10.2390i −0.840043 0.704880i 0.117530 0.993069i \(-0.462502\pi\)
−0.957573 + 0.288189i \(0.906947\pi\)
\(212\) −5.57785 + 2.03017i −0.383088 + 0.139433i
\(213\) 0.235300 + 1.33445i 0.0161225 + 0.0914351i
\(214\) 1.40420 7.96361i 0.0959891 0.544382i
\(215\) −17.7738 6.46913i −1.21216 0.441191i
\(216\) 0.500000 + 0.866025i 0.0340207 + 0.0589256i
\(217\) −5.79948 + 10.0450i −0.393694 + 0.681898i
\(218\) 11.6814 9.80185i 0.791163 0.663865i
\(219\) −1.85844 + 1.55942i −0.125582 + 0.105376i
\(220\) −9.34389 + 16.1841i −0.629965 + 1.09113i
\(221\) −0.187319 0.324446i −0.0126004 0.0218246i
\(222\) 4.81908 + 1.75400i 0.323435 + 0.117721i
\(223\) 3.23261 18.3331i 0.216472 1.22767i −0.661863 0.749625i \(-0.730234\pi\)
0.878334 0.478047i \(-0.158655\pi\)
\(224\) 0.645430 + 3.66041i 0.0431246 + 0.244572i
\(225\) −7.02481 + 2.55682i −0.468321 + 0.170455i
\(226\) 0.624485 + 0.524005i 0.0415401 + 0.0348563i
\(227\) −5.79292 −0.384490 −0.192245 0.981347i \(-0.561577\pi\)
−0.192245 + 0.981347i \(0.561577\pi\)
\(228\) −1.01114 4.24000i −0.0669647 0.280801i
\(229\) −8.12836 −0.537137 −0.268568 0.963261i \(-0.586551\pi\)
−0.268568 + 0.963261i \(0.586551\pi\)
\(230\) −23.4859 19.7070i −1.54862 1.29944i
\(231\) −18.4795 + 6.72600i −1.21586 + 0.442538i
\(232\) 0.0209445 + 0.118782i 0.00137508 + 0.00779844i
\(233\) −2.95677 + 16.7687i −0.193704 + 1.09855i 0.720548 + 0.693405i \(0.243890\pi\)
−0.914252 + 0.405146i \(0.867221\pi\)
\(234\) 0.213011 + 0.0775297i 0.0139250 + 0.00506827i
\(235\) −4.43242 7.67717i −0.289139 0.500804i
\(236\) −0.109470 + 0.189608i −0.00712592 + 0.0123424i
\(237\) 2.19459 1.84148i 0.142554 0.119617i
\(238\) −4.70574 + 3.94858i −0.305028 + 0.255949i
\(239\) 7.50980 13.0074i 0.485769 0.841376i −0.514098 0.857732i \(-0.671873\pi\)
0.999866 + 0.0163558i \(0.00520644\pi\)
\(240\) −1.76604 3.05888i −0.113998 0.197450i
\(241\) 20.1596 + 7.33748i 1.29859 + 0.472649i 0.896538 0.442967i \(-0.146074\pi\)
0.402054 + 0.915616i \(0.368296\pi\)
\(242\) 2.95084 16.7350i 0.189687 1.07577i
\(243\) −0.173648 0.984808i −0.0111395 0.0631754i
\(244\) 1.47906 0.538332i 0.0946868 0.0344632i
\(245\) −18.4402 15.4731i −1.17810 0.988542i
\(246\) −7.10607 −0.453066
\(247\) −0.793386 0.588936i −0.0504819 0.0374731i
\(248\) 3.12061 0.198159
\(249\) −1.47178 1.23497i −0.0932704 0.0782631i
\(250\) 8.21688 2.99070i 0.519681 0.189148i
\(251\) −4.43969 25.1787i −0.280231 1.58927i −0.721839 0.692061i \(-0.756703\pi\)
0.441608 0.897208i \(-0.354408\pi\)
\(252\) 0.645430 3.66041i 0.0406582 0.230584i
\(253\) 43.1553 + 15.7072i 2.71315 + 0.987506i
\(254\) −5.53209 9.58186i −0.347114 0.601219i
\(255\) 2.91875 5.05542i 0.182779 0.316583i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 2.13950 1.79525i 0.133458 0.111985i −0.573615 0.819125i \(-0.694459\pi\)
0.707073 + 0.707140i \(0.250015\pi\)
\(258\) −2.67752 + 4.63760i −0.166695 + 0.288724i
\(259\) −9.53074 16.5077i −0.592212 1.02574i
\(260\) −0.752374 0.273842i −0.0466602 0.0169829i
\(261\) 0.0209445 0.118782i 0.00129643 0.00735244i
\(262\) −2.50047 14.1809i −0.154479 0.876096i
\(263\) −1.30066 + 0.473401i −0.0802021 + 0.0291912i −0.381810 0.924241i \(-0.624699\pi\)
0.301608 + 0.953432i \(0.402477\pi\)
\(264\) 4.05303 + 3.40090i 0.249447 + 0.209311i
\(265\) −20.9659 −1.28792
\(266\) −7.25103 + 14.4883i −0.444589 + 0.888336i
\(267\) 12.1557 0.743917
\(268\) 11.8589 + 9.95080i 0.724398 + 0.607842i
\(269\) 16.0471 5.84067i 0.978409 0.356112i 0.197188 0.980366i \(-0.436819\pi\)
0.781221 + 0.624254i \(0.214597\pi\)
\(270\) 0.613341 + 3.47843i 0.0373267 + 0.211690i
\(271\) −4.46064 + 25.2975i −0.270964 + 1.53672i 0.480531 + 0.876978i \(0.340444\pi\)
−0.751496 + 0.659738i \(0.770667\pi\)
\(272\) 1.55303 + 0.565258i 0.0941665 + 0.0342738i
\(273\) −0.421274 0.729669i −0.0254967 0.0441615i
\(274\) 0.236482 0.409598i 0.0142864 0.0247447i
\(275\) −30.2991 + 25.4239i −1.82710 + 1.53312i
\(276\) −6.64930 + 5.57943i −0.400241 + 0.335842i
\(277\) −11.1125 + 19.2474i −0.667683 + 1.15646i 0.310867 + 0.950453i \(0.399381\pi\)
−0.978550 + 0.206008i \(0.933953\pi\)
\(278\) 5.09240 + 8.82029i 0.305422 + 0.529006i
\(279\) −2.93242 1.06731i −0.175559 0.0638984i
\(280\) −2.27972 + 12.9289i −0.136239 + 0.772650i
\(281\) 0.268104 + 1.52049i 0.0159937 + 0.0907050i 0.991760 0.128111i \(-0.0408915\pi\)
−0.975766 + 0.218816i \(0.929780\pi\)
\(282\) −2.35844 + 0.858402i −0.140443 + 0.0511171i
\(283\) 7.88326 + 6.61484i 0.468611 + 0.393211i 0.846288 0.532726i \(-0.178832\pi\)
−0.377677 + 0.925938i \(0.623277\pi\)
\(284\) −1.35504 −0.0804067
\(285\) 1.76604 15.2944i 0.104611 0.905962i
\(286\) 1.19934 0.0709185
\(287\) 20.2331 + 16.9776i 1.19432 + 1.00215i
\(288\) −0.939693 + 0.342020i −0.0553719 + 0.0201537i
\(289\) −2.47771 14.0518i −0.145748 0.826576i
\(290\) −0.0739780 + 0.419550i −0.00434413 + 0.0246368i
\(291\) 16.4474 + 5.98638i 0.964166 + 0.350928i
\(292\) −1.21301 2.10100i −0.0709861 0.122952i
\(293\) 14.2515 24.6843i 0.832581 1.44207i −0.0634033 0.997988i \(-0.520195\pi\)
0.895985 0.444085i \(-0.146471\pi\)
\(294\) −5.22075 + 4.38073i −0.304480 + 0.255489i
\(295\) −0.592396 + 0.497079i −0.0344906 + 0.0289411i
\(296\) −2.56418 + 4.44129i −0.149040 + 0.258145i
\(297\) −2.64543 4.58202i −0.153503 0.265876i
\(298\) −4.58987 1.67058i −0.265884 0.0967739i
\(299\) −0.341671 + 1.93771i −0.0197594 + 0.112061i
\(300\) −1.29813 7.36208i −0.0749478 0.425050i
\(301\) 18.7037 6.80758i 1.07806 0.392382i
\(302\) 6.92649 + 5.81201i 0.398575 + 0.334444i
\(303\) −15.0155 −0.862617
\(304\) 4.35117 0.259515i 0.249557 0.0148842i
\(305\) 5.55943 0.318332
\(306\) −1.26604 1.06234i −0.0723749 0.0607298i
\(307\) 24.0180 8.74184i 1.37078 0.498923i 0.451410 0.892317i \(-0.350921\pi\)
0.919370 + 0.393394i \(0.128699\pi\)
\(308\) −3.41488 19.3667i −0.194581 1.10352i
\(309\) −1.15657 + 6.55926i −0.0657952 + 0.373143i
\(310\) 10.3576 + 3.76984i 0.588270 + 0.214113i
\(311\) −5.18732 8.98470i −0.294146 0.509476i 0.680640 0.732618i \(-0.261702\pi\)
−0.974786 + 0.223142i \(0.928368\pi\)
\(312\) −0.113341 + 0.196312i −0.00641666 + 0.0111140i
\(313\) −11.8250 + 9.92236i −0.668389 + 0.560845i −0.912588 0.408880i \(-0.865919\pi\)
0.244199 + 0.969725i \(0.421475\pi\)
\(314\) 0.254900 0.213887i 0.0143848 0.0120703i
\(315\) 6.56418 11.3695i 0.369850 0.640598i
\(316\) 1.43242 + 2.48102i 0.0805798 + 0.139568i
\(317\) −26.6844 9.71232i −1.49874 0.545498i −0.543009 0.839727i \(-0.682715\pi\)
−0.955735 + 0.294229i \(0.904937\pi\)
\(318\) −1.03074 + 5.84564i −0.0578013 + 0.327807i
\(319\) −0.110815 0.628461i −0.00620443 0.0351870i
\(320\) 3.31908 1.20805i 0.185542 0.0675318i
\(321\) −6.19459 5.19788i −0.345748 0.290117i
\(322\) 32.2627 1.79793
\(323\) 3.96703 + 6.01330i 0.220732 + 0.334589i
\(324\) 1.00000 0.0555556
\(325\) −1.29813 1.08926i −0.0720075 0.0604215i
\(326\) −3.70321 + 1.34786i −0.205102 + 0.0746510i
\(327\) −2.64796 15.0173i −0.146432 0.830459i
\(328\) 1.23396 6.99811i 0.0681338 0.386406i
\(329\) 8.76604 + 3.19058i 0.483288 + 0.175902i
\(330\) 9.34389 + 16.1841i 0.514364 + 0.890905i
\(331\) 12.9611 22.4493i 0.712407 1.23392i −0.251545 0.967846i \(-0.580938\pi\)
0.963951 0.266079i \(-0.0857282\pi\)
\(332\) 1.47178 1.23497i 0.0807745 0.0677779i
\(333\) 3.92855 3.29644i 0.215283 0.180644i
\(334\) −2.99660 + 5.19026i −0.163966 + 0.283998i
\(335\) 27.3396 + 47.3536i 1.49372 + 2.58720i
\(336\) 3.49273 + 1.27125i 0.190544 + 0.0693523i
\(337\) −4.08260 + 23.1536i −0.222393 + 1.26125i 0.645213 + 0.764003i \(0.276769\pi\)
−0.867606 + 0.497252i \(0.834343\pi\)
\(338\) −2.24850 12.7519i −0.122302 0.693612i
\(339\) 0.766044 0.278817i 0.0416058 0.0151433i
\(340\) 4.47178 + 3.75227i 0.242516 + 0.203495i
\(341\) −16.5107 −0.894106
\(342\) −4.17752 1.24432i −0.225894 0.0672853i
\(343\) −0.686852 −0.0370865
\(344\) −4.10220 3.44215i −0.221176 0.185588i
\(345\) −28.8097 + 10.4859i −1.55106 + 0.564541i
\(346\) 2.12923 + 12.0755i 0.114468 + 0.649182i
\(347\) −0.417566 + 2.36813i −0.0224161 + 0.127128i −0.993962 0.109722i \(-0.965004\pi\)
0.971546 + 0.236850i \(0.0761150\pi\)
\(348\) 0.113341 + 0.0412527i 0.00607570 + 0.00221138i
\(349\) −2.59879 4.50124i −0.139110 0.240946i 0.788050 0.615611i \(-0.211091\pi\)
−0.927160 + 0.374665i \(0.877758\pi\)
\(350\) −13.8931 + 24.0635i −0.742615 + 1.28625i
\(351\) 0.173648 0.145708i 0.00926865 0.00777732i
\(352\) −4.05303 + 3.40090i −0.216027 + 0.181269i
\(353\) −4.13816 + 7.16750i −0.220252 + 0.381487i −0.954884 0.296978i \(-0.904021\pi\)
0.734633 + 0.678465i \(0.237355\pi\)
\(354\) 0.109470 + 0.189608i 0.00581829 + 0.0100776i
\(355\) −4.49747 1.63695i −0.238701 0.0868801i
\(356\) −2.11081 + 11.9710i −0.111873 + 0.634463i
\(357\) 1.06670 + 6.04958i 0.0564560 + 0.320178i
\(358\) −7.57785 + 2.75811i −0.400502 + 0.145771i
\(359\) −1.75877 1.47578i −0.0928244 0.0778889i 0.595195 0.803582i \(-0.297075\pi\)
−0.688019 + 0.725693i \(0.741519\pi\)
\(360\) −3.53209 −0.186157
\(361\) 15.9033 + 10.3964i 0.837017 + 0.547177i
\(362\) 0.189845 0.00997803
\(363\) −13.0175 10.9230i −0.683244 0.573310i
\(364\) 0.791737 0.288169i 0.0414983 0.0151041i
\(365\) −1.48798 8.43874i −0.0778843 0.441704i
\(366\) 0.273318 1.55007i 0.0142866 0.0810232i
\(367\) −28.0638 10.2144i −1.46492 0.533186i −0.518202 0.855258i \(-0.673398\pi\)
−0.946715 + 0.322072i \(0.895621\pi\)
\(368\) −4.34002 7.51714i −0.226239 0.391858i
\(369\) −3.55303 + 6.15403i −0.184964 + 0.320366i
\(370\) −13.8760 + 11.6433i −0.721378 + 0.605308i
\(371\) 16.9010 14.1817i 0.877459 0.736275i
\(372\) 1.56031 2.70253i 0.0808982 0.140120i
\(373\) 9.92649 + 17.1932i 0.513974 + 0.890229i 0.999869 + 0.0162118i \(0.00516060\pi\)
−0.485894 + 0.874017i \(0.661506\pi\)
\(374\) −8.21688 2.99070i −0.424885 0.154645i
\(375\) 1.51842 8.61138i 0.0784108 0.444690i
\(376\) −0.435822 2.47167i −0.0224758 0.127467i
\(377\) 0.0256923 0.00935122i 0.00132322 0.000481612i
\(378\) −2.84730 2.38917i −0.146449 0.122885i
\(379\) 25.8256 1.32657 0.663287 0.748365i \(-0.269161\pi\)
0.663287 + 0.748365i \(0.269161\pi\)
\(380\) 14.7554 + 4.39506i 0.756934 + 0.225462i
\(381\) −11.0642 −0.566835
\(382\) 13.8177 + 11.5945i 0.706977 + 0.593224i
\(383\) −18.9201 + 6.88635i −0.966772 + 0.351876i −0.776684 0.629891i \(-0.783100\pi\)
−0.190088 + 0.981767i \(0.560877\pi\)
\(384\) −0.173648 0.984808i −0.00886145 0.0502558i
\(385\) 12.0617 68.4050i 0.614719 3.48624i
\(386\) 16.3871 + 5.96443i 0.834083 + 0.303581i
\(387\) 2.67752 + 4.63760i 0.136106 + 0.235742i
\(388\) −8.75150 + 15.1580i −0.444290 + 0.769533i
\(389\) 8.68139 7.28455i 0.440164 0.369341i −0.395607 0.918420i \(-0.629466\pi\)
0.835771 + 0.549079i \(0.185021\pi\)
\(390\) −0.613341 + 0.514654i −0.0310577 + 0.0260605i
\(391\) 7.17277 12.4236i 0.362743 0.628289i
\(392\) −3.40760 5.90214i −0.172110 0.298103i
\(393\) −13.5312 4.92496i −0.682559 0.248431i
\(394\) −1.81996 + 10.3215i −0.0916880 + 0.519989i
\(395\) 1.75712 + 9.96513i 0.0884104 + 0.501400i
\(396\) 4.97178 1.80958i 0.249841 0.0909348i
\(397\) 10.0307 + 8.41679i 0.503429 + 0.422427i 0.858810 0.512295i \(-0.171204\pi\)
−0.355381 + 0.934722i \(0.615649\pi\)
\(398\) −13.6536 −0.684395
\(399\) 8.92174 + 13.5237i 0.446646 + 0.677034i
\(400\) 7.47565 0.373783
\(401\) 16.2554 + 13.6399i 0.811754 + 0.681143i 0.951026 0.309112i \(-0.100032\pi\)
−0.139272 + 0.990254i \(0.544476\pi\)
\(402\) 14.5471 5.29471i 0.725544 0.264076i
\(403\) −0.122836 0.696639i −0.00611891 0.0347021i
\(404\) 2.60741 14.7874i 0.129724 0.735699i
\(405\) 3.31908 + 1.20805i 0.164926 + 0.0600283i
\(406\) −0.224155 0.388249i −0.0111246 0.0192684i
\(407\) 13.5667 23.4982i 0.672477 1.16476i
\(408\) 1.26604 1.06234i 0.0626785 0.0525935i
\(409\) −22.2763 + 18.6920i −1.10149 + 0.924262i −0.997525 0.0703185i \(-0.977598\pi\)
−0.103968 + 0.994581i \(0.533154\pi\)
\(410\) 12.5496 21.7366i 0.619782 1.07349i
\(411\) −0.236482 0.409598i −0.0116648 0.0202040i
\(412\) −6.25877 2.27801i −0.308347 0.112229i
\(413\) 0.141311 0.801414i 0.00695345 0.0394350i
\(414\) 1.50727 + 8.54818i 0.0740785 + 0.420120i
\(415\) 6.37686 2.32099i 0.313028 0.113933i
\(416\) −0.173648 0.145708i −0.00851380 0.00714393i
\(417\) 10.1848 0.498751
\(418\) −23.0214 + 1.37306i −1.12601 + 0.0671584i
\(419\) 40.4962 1.97837 0.989184 0.146679i \(-0.0468586\pi\)
0.989184 + 0.146679i \(0.0468586\pi\)
\(420\) 10.0569 + 8.43874i 0.490727 + 0.411769i
\(421\) −29.3491 + 10.6822i −1.43039 + 0.520619i −0.937043 0.349215i \(-0.886448\pi\)
−0.493345 + 0.869834i \(0.664226\pi\)
\(422\) −2.76604 15.6870i −0.134649 0.763632i
\(423\) −0.435822 + 2.47167i −0.0211904 + 0.120177i
\(424\) −5.57785 2.03017i −0.270884 0.0985938i
\(425\) 6.17752 + 10.6998i 0.299654 + 0.519015i
\(426\) −0.677519 + 1.17350i −0.0328259 + 0.0568561i
\(427\) −4.48158 + 3.76049i −0.216879 + 0.181983i
\(428\) 6.19459 5.19788i 0.299427 0.251249i
\(429\) 0.599670 1.03866i 0.0289524 0.0501469i
\(430\) −9.45723 16.3804i −0.456068 0.789933i
\(431\) −24.4513 8.89955i −1.17778 0.428676i −0.322361 0.946617i \(-0.604477\pi\)
−0.855417 + 0.517941i \(0.826699\pi\)
\(432\) −0.173648 + 0.984808i −0.00835465 + 0.0473816i
\(433\) −4.69965 26.6530i −0.225851 1.28086i −0.861053 0.508516i \(-0.830194\pi\)
0.635202 0.772346i \(-0.280917\pi\)
\(434\) −10.8995 + 3.96708i −0.523190 + 0.190426i
\(435\) 0.326352 + 0.273842i 0.0156474 + 0.0131297i
\(436\) 15.2490 0.730293
\(437\) 4.34002 37.5857i 0.207611 1.79797i
\(438\) −2.42602 −0.115920
\(439\) −2.25284 1.89036i −0.107522 0.0902219i 0.587442 0.809267i \(-0.300135\pi\)
−0.694964 + 0.719045i \(0.744580\pi\)
\(440\) −17.5608 + 6.39160i −0.837177 + 0.304708i
\(441\) 1.18345 + 6.71167i 0.0563547 + 0.319603i
\(442\) 0.0650551 0.368946i 0.00309436 0.0175490i
\(443\) −25.9402 9.44145i −1.23245 0.448577i −0.358017 0.933715i \(-0.616547\pi\)
−0.874437 + 0.485138i \(0.838769\pi\)
\(444\) 2.56418 + 4.44129i 0.121690 + 0.210774i
\(445\) −21.4675 + 37.1828i −1.01766 + 1.76263i
\(446\) 14.2606 11.9660i 0.675258 0.566609i
\(447\) −3.74170 + 3.13966i −0.176976 + 0.148501i
\(448\) −1.85844 + 3.21891i −0.0878031 + 0.152079i
\(449\) −8.46110 14.6551i −0.399304 0.691615i 0.594336 0.804217i \(-0.297415\pi\)
−0.993640 + 0.112602i \(0.964082\pi\)
\(450\) −7.02481 2.55682i −0.331153 0.120530i
\(451\) −6.52869 + 37.0260i −0.307424 + 1.74349i
\(452\) 0.141559 + 0.802823i 0.00665839 + 0.0377616i
\(453\) 8.49660 3.09251i 0.399205 0.145299i
\(454\) −4.43763 3.72362i −0.208268 0.174758i
\(455\) 2.97596 0.139515
\(456\) 1.95084 3.89798i 0.0913563 0.182540i
\(457\) 9.19160 0.429965 0.214982 0.976618i \(-0.431031\pi\)
0.214982 + 0.976618i \(0.431031\pi\)
\(458\) −6.22668 5.22481i −0.290954 0.244139i
\(459\) −1.55303 + 0.565258i −0.0724894 + 0.0263840i
\(460\) −5.32383 30.1929i −0.248225 1.40775i
\(461\) −2.68210 + 15.2110i −0.124918 + 0.708445i 0.856438 + 0.516249i \(0.172672\pi\)
−0.981357 + 0.192196i \(0.938439\pi\)
\(462\) −18.4795 6.72600i −0.859745 0.312922i
\(463\) −14.9907 25.9646i −0.696675 1.20668i −0.969613 0.244645i \(-0.921328\pi\)
0.272937 0.962032i \(-0.412005\pi\)
\(464\) −0.0603074 + 0.104455i −0.00279970 + 0.00484922i
\(465\) 8.44356 7.08499i 0.391561 0.328559i
\(466\) −13.0437 + 10.9450i −0.604238 + 0.507016i
\(467\) −14.4427 + 25.0155i −0.668328 + 1.15758i 0.310044 + 0.950722i \(0.399656\pi\)
−0.978372 + 0.206855i \(0.933677\pi\)
\(468\) 0.113341 + 0.196312i 0.00523918 + 0.00907453i
\(469\) −54.0699 19.6798i −2.49671 0.908730i
\(470\) 1.53936 8.73016i 0.0710055 0.402692i
\(471\) −0.0577812 0.327693i −0.00266242 0.0150993i
\(472\) −0.205737 + 0.0748822i −0.00946982 + 0.00344673i
\(473\) 21.7041 + 18.2119i 0.997958 + 0.837386i
\(474\) 2.86484 0.131586
\(475\) 26.1648 + 19.4223i 1.20052 + 0.891157i
\(476\) −6.14290 −0.281560
\(477\) 4.54710 + 3.81547i 0.208198 + 0.174699i
\(478\) 14.1138 5.13701i 0.645551 0.234961i
\(479\) 2.37211 + 13.4529i 0.108385 + 0.614679i 0.989814 + 0.142364i \(0.0454704\pi\)
−0.881430 + 0.472315i \(0.843418\pi\)
\(480\) 0.613341 3.47843i 0.0279950 0.158768i
\(481\) 1.09240 + 0.397600i 0.0498090 + 0.0181290i
\(482\) 10.7267 + 18.5792i 0.488587 + 0.846257i
\(483\) 16.1313 27.9403i 0.734002 1.27133i
\(484\) 13.0175 10.9230i 0.591706 0.496501i
\(485\) −47.3585 + 39.7385i −2.15044 + 1.80443i
\(486\) 0.500000 0.866025i 0.0226805 0.0392837i
\(487\) 3.08899 + 5.35029i 0.139976 + 0.242445i 0.927487 0.373855i \(-0.121964\pi\)
−0.787512 + 0.616300i \(0.788631\pi\)
\(488\) 1.47906 + 0.538332i 0.0669537 + 0.0243692i
\(489\) −0.684326 + 3.88100i −0.0309463 + 0.175505i
\(490\) −4.18004 23.7062i −0.188835 1.07094i
\(491\) −3.85591 + 1.40344i −0.174015 + 0.0633363i −0.427558 0.903988i \(-0.640626\pi\)
0.253543 + 0.967324i \(0.418404\pi\)
\(492\) −5.44356 4.56769i −0.245415 0.205927i
\(493\) −0.199340 −0.00897784
\(494\) −0.229208 0.961130i −0.0103125 0.0432433i
\(495\) 18.6878 0.839953
\(496\) 2.39053 + 2.00589i 0.107338 + 0.0900672i
\(497\) 4.73277 1.72259i 0.212294 0.0772687i
\(498\) −0.333626 1.89209i −0.0149501 0.0847864i
\(499\) 4.61540 26.1752i 0.206614 1.17176i −0.688266 0.725458i \(-0.741628\pi\)
0.894880 0.446306i \(-0.147261\pi\)
\(500\) 8.21688 + 2.99070i 0.367470 + 0.133748i
\(501\) 2.99660 + 5.19026i 0.133878 + 0.231884i
\(502\) 12.7836 22.1418i 0.570559 0.988238i
\(503\) −19.8746 + 16.6768i −0.886166 + 0.743582i −0.967437 0.253110i \(-0.918546\pi\)
0.0812712 + 0.996692i \(0.474102\pi\)
\(504\) 2.84730 2.38917i 0.126829 0.106422i
\(505\) 26.5180 45.9305i 1.18004 2.04388i
\(506\) 22.9624 + 39.7721i 1.02081 + 1.76809i
\(507\) −12.1677 4.42869i −0.540387 0.196685i
\(508\) 1.92127 10.8961i 0.0852428 0.483436i
\(509\) −4.37551 24.8148i −0.193941 1.09990i −0.913918 0.405898i \(-0.866959\pi\)
0.719977 0.693998i \(-0.244152\pi\)
\(510\) 5.48545 1.99654i 0.242900 0.0884083i
\(511\) 6.90760 + 5.79617i 0.305574 + 0.256407i
\(512\) 1.00000 0.0441942
\(513\) −3.16637 + 2.99568i −0.139799 + 0.132262i
\(514\) 2.79292 0.123190
\(515\) −18.0214 15.1218i −0.794118 0.666344i
\(516\) −5.03209 + 1.83153i −0.221525 + 0.0806286i
\(517\) 2.30587 + 13.0773i 0.101412 + 0.575137i
\(518\) 3.30999 18.7719i 0.145433 0.824790i
\(519\) 11.5223 + 4.19377i 0.505772 + 0.184086i
\(520\) −0.400330 0.693392i −0.0175556 0.0304072i
\(521\) 1.38800 2.40409i 0.0608095 0.105325i −0.834018 0.551737i \(-0.813965\pi\)
0.894827 + 0.446412i \(0.147298\pi\)
\(522\) 0.0923963 0.0775297i 0.00404407 0.00339338i
\(523\) 8.60678 7.22195i 0.376348 0.315794i −0.434919 0.900470i \(-0.643223\pi\)
0.811267 + 0.584676i \(0.198778\pi\)
\(524\) 7.19981 12.4704i 0.314525 0.544773i
\(525\) 13.8931 + 24.0635i 0.606343 + 1.05022i
\(526\) −1.30066 0.473401i −0.0567115 0.0206413i
\(527\) −0.895582 + 5.07910i −0.0390122 + 0.221249i
\(528\) 0.918748 + 5.21048i 0.0399834 + 0.226757i
\(529\) −49.1865 + 17.9024i −2.13854 + 0.778366i
\(530\) −16.0608 13.4766i −0.697635 0.585386i
\(531\) 0.218941 0.00950122
\(532\) −14.8675 + 6.43783i −0.644589 + 0.279115i
\(533\) −1.61081 −0.0697721
\(534\) 9.31180 + 7.81353i 0.402961 + 0.338125i
\(535\) 26.8396 9.76882i 1.16038 0.422343i
\(536\) 2.68820 + 15.2455i 0.116112 + 0.658506i
\(537\) −1.40033 + 7.94166i −0.0604287 + 0.342708i
\(538\) 16.0471 + 5.84067i 0.691840 + 0.251809i
\(539\) 18.0292 + 31.2274i 0.776571 + 1.34506i
\(540\) −1.76604 + 3.05888i −0.0759985 + 0.131633i
\(541\) −16.8628 + 14.1496i −0.724987 + 0.608337i −0.928760 0.370682i \(-0.879124\pi\)
0.203773 + 0.979018i \(0.434680\pi\)
\(542\) −19.6780 + 16.5118i −0.845242 + 0.709242i
\(543\) 0.0949225 0.164411i 0.00407351 0.00705553i
\(544\) 0.826352 + 1.43128i 0.0354295 + 0.0613658i
\(545\) 50.6125 + 18.4215i 2.16800 + 0.789088i
\(546\) 0.146307 0.829748i 0.00626136 0.0355100i
\(547\) 5.93107 + 33.6368i 0.253594 + 1.43821i 0.799655 + 0.600460i \(0.205016\pi\)
−0.546061 + 0.837746i \(0.683873\pi\)
\(548\) 0.444440 0.161763i 0.0189856 0.00691018i
\(549\) −1.20574 1.01173i −0.0514596 0.0431797i
\(550\) −39.5526 −1.68653
\(551\) −0.482459 + 0.208911i −0.0205534 + 0.00889990i
\(552\) −8.68004 −0.369447
\(553\) −8.15704 6.84457i −0.346873 0.291061i
\(554\) −20.8846 + 7.60137i −0.887302 + 0.322951i
\(555\) 3.14543 + 17.8386i 0.133516 + 0.757207i
\(556\) −1.76857 + 10.0301i −0.0750041 + 0.425369i
\(557\) 35.5774 + 12.9491i 1.50746 + 0.548672i 0.957981 0.286832i \(-0.0926023\pi\)
0.549484 + 0.835504i \(0.314824\pi\)
\(558\) −1.56031 2.70253i −0.0660531 0.114407i
\(559\) −0.606944 + 1.05126i −0.0256710 + 0.0444635i
\(560\) −10.0569 + 8.43874i −0.424982 + 0.356602i
\(561\) −6.69846 + 5.62068i −0.282809 + 0.237305i
\(562\) −0.771974 + 1.33710i −0.0325638 + 0.0564021i
\(563\) −5.86231 10.1538i −0.247067 0.427933i 0.715644 0.698465i \(-0.246133\pi\)
−0.962711 + 0.270533i \(0.912800\pi\)
\(564\) −2.35844 0.858402i −0.0993083 0.0361453i
\(565\) −0.500000 + 2.83564i −0.0210352 + 0.119296i
\(566\) 1.78699 + 10.1345i 0.0751127 + 0.425986i
\(567\) −3.49273 + 1.27125i −0.146681 + 0.0533874i
\(568\) −1.03802 0.871001i −0.0435543 0.0365464i
\(569\) 14.8972 0.624524 0.312262 0.949996i \(-0.398913\pi\)
0.312262 + 0.949996i \(0.398913\pi\)
\(570\) 11.1839 10.5810i 0.468443 0.443189i
\(571\) 12.9409 0.541559 0.270779 0.962641i \(-0.412719\pi\)
0.270779 + 0.962641i \(0.412719\pi\)
\(572\) 0.918748 + 0.770921i 0.0384148 + 0.0322338i
\(573\) 16.9500 6.16928i 0.708095 0.257725i
\(574\) 4.58647 + 26.0111i 0.191435 + 1.08568i
\(575\) 11.2679 63.9032i 0.469902 2.66495i
\(576\) −0.939693 0.342020i −0.0391539 0.0142508i
\(577\) −11.3657 19.6860i −0.473161 0.819539i 0.526367 0.850257i \(-0.323554\pi\)
−0.999528 + 0.0307187i \(0.990220\pi\)
\(578\) 7.13429 12.3569i 0.296747 0.513981i
\(579\) 13.3589 11.2095i 0.555177 0.465849i
\(580\) −0.326352 + 0.273842i −0.0135510 + 0.0113707i
\(581\) −3.57057 + 6.18442i −0.148132 + 0.256573i
\(582\) 8.75150 + 15.1580i 0.362761 + 0.628321i
\(583\) 29.5116 + 10.7413i 1.22225 + 0.444861i
\(584\) 0.421274 2.38917i 0.0174325 0.0988644i
\(585\) 0.139033 + 0.788496i 0.00574831 + 0.0326003i
\(586\) 26.7841 9.74860i 1.10644 0.402711i
\(587\) −8.08899 6.78747i −0.333868 0.280149i 0.460405 0.887709i \(-0.347704\pi\)
−0.794274 + 0.607560i \(0.792148\pi\)
\(588\) −6.81521 −0.281054
\(589\) 3.15539 + 13.2314i 0.130016 + 0.545190i
\(590\) −0.773318 −0.0318370
\(591\) 8.02869 + 6.73687i 0.330256 + 0.277118i
\(592\) −4.81908 + 1.75400i −0.198063 + 0.0720890i
\(593\) −1.86808 10.5944i −0.0767128 0.435060i −0.998839 0.0481709i \(-0.984661\pi\)
0.922126 0.386889i \(-0.126450\pi\)
\(594\) 0.918748 5.21048i 0.0376967 0.213789i
\(595\) −20.3888 7.42091i −0.835858 0.304228i
\(596\) −2.44222 4.23005i −0.100037 0.173269i
\(597\) −6.82682 + 11.8244i −0.279403 + 0.483940i
\(598\) −1.50727 + 1.26475i −0.0616370 + 0.0517196i
\(599\) −18.7153 + 15.7040i −0.764686 + 0.641648i −0.939342 0.342982i \(-0.888563\pi\)
0.174656 + 0.984630i \(0.444119\pi\)
\(600\) 3.73783 6.47410i 0.152596 0.264304i
\(601\) 13.2057 + 22.8730i 0.538673 + 0.933009i 0.998976 + 0.0452473i \(0.0144076\pi\)
−0.460303 + 0.887762i \(0.652259\pi\)
\(602\) 18.7037 + 6.80758i 0.762305 + 0.277456i
\(603\) 2.68820 15.2455i 0.109472 0.620845i
\(604\) 1.57011 + 8.90452i 0.0638868 + 0.362320i
\(605\) 56.4017 20.5286i 2.29306 0.834604i
\(606\) −11.5025 9.65177i −0.467258 0.392076i
\(607\) −16.3618 −0.664107 −0.332053 0.943261i \(-0.607741\pi\)
−0.332053 + 0.943261i \(0.607741\pi\)
\(608\) 3.50000 + 2.59808i 0.141944 + 0.105366i
\(609\) −0.448311 −0.0181665
\(610\) 4.25877 + 3.57353i 0.172433 + 0.144688i
\(611\) −0.534615 + 0.194584i −0.0216282 + 0.00787203i
\(612\) −0.286989 1.62760i −0.0116008 0.0657916i
\(613\) 1.03162 5.85062i 0.0416668 0.236304i −0.956861 0.290546i \(-0.906163\pi\)
0.998528 + 0.0542418i \(0.0172742\pi\)
\(614\) 24.0180 + 8.74184i 0.969288 + 0.352792i
\(615\) −12.5496 21.7366i −0.506050 0.876504i
\(616\) 9.83275 17.0308i 0.396173 0.686191i
\(617\) −26.1438 + 21.9373i −1.05251 + 0.883162i −0.993355 0.115087i \(-0.963285\pi\)
−0.0591558 + 0.998249i \(0.518841\pi\)
\(618\) −5.10220 + 4.28125i −0.205240 + 0.172217i
\(619\) −16.1506 + 27.9737i −0.649149 + 1.12436i 0.334177 + 0.942510i \(0.391542\pi\)
−0.983326 + 0.181849i \(0.941792\pi\)
\(620\) 5.51114 + 9.54558i 0.221333 + 0.383360i
\(621\) 8.15657 + 2.96875i 0.327312 + 0.119132i
\(622\) 1.80154 10.2170i 0.0722350 0.409665i
\(623\) −7.84565 44.4949i −0.314329 1.78265i
\(624\) −0.213011 + 0.0775297i −0.00852727 + 0.00310367i
\(625\) −4.97384 4.17355i −0.198954 0.166942i
\(626\) −15.4365 −0.616965
\(627\) −10.3216 + 20.6237i −0.412205 + 0.823629i
\(628\) 0.332748 0.0132781
\(629\) −6.49273 5.44804i −0.258882 0.217228i
\(630\) 12.3366 4.49016i 0.491503 0.178892i
\(631\) 3.13058 + 17.7544i 0.124626 + 0.706791i 0.981529 + 0.191313i \(0.0612745\pi\)
−0.856903 + 0.515478i \(0.827614\pi\)
\(632\) −0.497474 + 2.82131i −0.0197884 + 0.112226i
\(633\) −14.9684 5.44804i −0.594940 0.216540i
\(634\) −14.1985 24.5925i −0.563893 0.976691i
\(635\) 19.5398 33.8440i 0.775414 1.34306i
\(636\) −4.54710 + 3.81547i −0.180304 + 0.151293i
\(637\) −1.18345 + 0.993031i −0.0468899 + 0.0393453i
\(638\) 0.319078 0.552659i 0.0126324 0.0218800i
\(639\) 0.677519 + 1.17350i 0.0268022 + 0.0464228i
\(640\) 3.31908 + 1.20805i 0.131198 + 0.0477522i
\(641\) 0.449493 2.54920i 0.0177539 0.100687i −0.974643 0.223765i \(-0.928165\pi\)
0.992397 + 0.123077i \(0.0392764\pi\)
\(642\) −1.40420 7.96361i −0.0554194 0.314299i
\(643\) −15.2160 + 5.53817i −0.600061 + 0.218404i −0.624149 0.781306i \(-0.714554\pi\)
0.0240880 + 0.999710i \(0.492332\pi\)
\(644\) 24.7147 + 20.7381i 0.973894 + 0.817194i
\(645\) −18.9145 −0.744756
\(646\) −0.826352 + 7.15642i −0.0325124 + 0.281565i
\(647\) 0.477407 0.0187688 0.00938439 0.999956i \(-0.497013\pi\)
0.00938439 + 0.999956i \(0.497013\pi\)
\(648\) 0.766044 + 0.642788i 0.0300931 + 0.0252511i
\(649\) 1.08853 0.396191i 0.0427284 0.0155519i
\(650\) −0.294263 1.66885i −0.0115419 0.0654576i
\(651\) −2.01414 + 11.4227i −0.0789403 + 0.447693i
\(652\) −3.70321 1.34786i −0.145029 0.0527862i
\(653\) −8.05097 13.9447i −0.315059 0.545698i 0.664391 0.747385i \(-0.268691\pi\)
−0.979450 + 0.201687i \(0.935358\pi\)
\(654\) 7.62449 13.2060i 0.298141 0.516395i
\(655\) 38.9616 32.6926i 1.52235 1.27741i
\(656\) 5.44356 4.56769i 0.212535 0.178338i
\(657\) −1.21301 + 2.10100i −0.0473241 + 0.0819677i
\(658\) 4.66431 + 8.07883i 0.181834 + 0.314946i
\(659\) 13.6630 + 4.97291i 0.532234 + 0.193717i 0.594135 0.804365i \(-0.297494\pi\)
−0.0619017 + 0.998082i \(0.519717\pi\)
\(660\) −3.24510 + 18.4039i −0.126315 + 0.716370i
\(661\) −2.52915 14.3435i −0.0983726 0.557899i −0.993662 0.112413i \(-0.964142\pi\)
0.895289 0.445486i \(-0.146969\pi\)
\(662\) 24.3589 8.86592i 0.946736 0.344584i
\(663\) −0.286989 0.240812i −0.0111457 0.00935238i
\(664\) 1.92127 0.0745599
\(665\) −57.1237 + 3.40700i −2.21516 + 0.132118i
\(666\) 5.12836 0.198720
\(667\) 0.802004 + 0.672961i 0.0310537 + 0.0260572i
\(668\) −5.63176 + 2.04979i −0.217899 + 0.0793089i
\(669\) −3.23261 18.3331i −0.124980 0.708797i
\(670\) −9.49495 + 53.8485i −0.366822 + 2.08035i
\(671\) −7.82547 2.84824i −0.302099 0.109955i
\(672\) 1.85844 + 3.21891i 0.0716909 + 0.124172i
\(673\) −12.4324 + 21.5336i −0.479235 + 0.830059i −0.999716 0.0238142i \(-0.992419\pi\)
0.520482 + 0.853873i \(0.325752\pi\)
\(674\) −18.0103 + 15.1124i −0.693730 + 0.582108i
\(675\) −5.72668 + 4.80526i −0.220420 + 0.184954i
\(676\) 6.47431 11.2138i 0.249012 0.431301i
\(677\) −23.2271 40.2306i −0.892692 1.54619i −0.836636 0.547760i \(-0.815481\pi\)
−0.0560563 0.998428i \(-0.517853\pi\)
\(678\) 0.766044 + 0.278817i 0.0294198 + 0.0107079i
\(679\) 11.2970 64.0682i 0.433537 2.45871i
\(680\) 1.01367 + 5.74881i 0.0388725 + 0.220457i
\(681\) −5.44356 + 1.98129i −0.208598 + 0.0759234i
\(682\) −12.6480 10.6129i −0.484315 0.406389i
\(683\) −26.0000 −0.994862 −0.497431 0.867503i \(-0.665723\pi\)
−0.497431 + 0.867503i \(0.665723\pi\)
\(684\) −2.40033 3.63846i −0.0917789 0.139120i
\(685\) 1.67055 0.0638284
\(686\) −0.526159 0.441500i −0.0200888 0.0168565i
\(687\) −7.63816 + 2.78006i −0.291414 + 0.106066i
\(688\) −0.929892 5.27368i −0.0354518 0.201057i
\(689\) −0.233651 + 1.32510i −0.00890139 + 0.0504823i
\(690\) −28.8097 10.4859i −1.09677 0.399191i
\(691\) 8.03478 + 13.9166i 0.305657 + 0.529414i 0.977407 0.211364i \(-0.0677905\pi\)
−0.671750 + 0.740778i \(0.734457\pi\)
\(692\) −6.13088 + 10.6190i −0.233061 + 0.403674i
\(693\) −15.0646 + 12.6407i −0.572259 + 0.480182i
\(694\) −1.84208 + 1.54569i −0.0699245 + 0.0586736i
\(695\) −17.9868 + 31.1540i −0.682278 + 1.18174i
\(696\) 0.0603074 + 0.104455i 0.00228595 + 0.00395937i
\(697\) 11.0360 + 4.01676i 0.418017 + 0.152146i
\(698\) 0.902551 5.11862i 0.0341621 0.193743i
\(699\) 2.95677 + 16.7687i 0.111835 + 0.634249i
\(700\) −26.1104 + 9.50341i −0.986881 + 0.359195i
\(701\) −7.59240 6.37078i −0.286761 0.240621i 0.488048 0.872817i \(-0.337709\pi\)
−0.774808 + 0.632196i \(0.782154\pi\)
\(702\) 0.226682 0.00855555
\(703\) −21.4238 6.38133i −0.808014 0.240676i
\(704\) −5.29086 −0.199407
\(705\) −6.79086 5.69821i −0.255759 0.214607i
\(706\) −7.77719 + 2.83067i −0.292698 + 0.106533i
\(707\) 9.69144 + 54.9629i 0.364484 + 2.06709i
\(708\) −0.0380187 + 0.215615i −0.00142883 + 0.00810329i
\(709\) 25.8148 + 9.39582i 0.969495 + 0.352867i 0.777747 0.628577i \(-0.216362\pi\)
0.191748 + 0.981444i \(0.438584\pi\)
\(710\) −2.39306 4.14489i −0.0898098 0.155555i
\(711\) 1.43242 2.48102i 0.0537199 0.0930456i
\(712\) −9.31180 + 7.81353i −0.348975 + 0.292824i
\(713\) 20.7499 17.4112i 0.777090 0.652056i
\(714\) −3.07145 + 5.31991i −0.114946 + 0.199093i
\(715\) 2.11809 + 3.66864i 0.0792120 + 0.137199i
\(716\) −7.57785 2.75811i −0.283197 0.103075i
\(717\) 2.60813 14.7914i 0.0974023 0.552396i
\(718\) −0.398681 2.26103i −0.0148786 0.0843810i
\(719\) −11.5239 + 4.19437i −0.429770 + 0.156424i −0.547843 0.836581i \(-0.684551\pi\)
0.118072 + 0.993005i \(0.462329\pi\)
\(720\) −2.70574 2.27038i −0.100837 0.0846122i
\(721\) 24.7561 0.921965
\(722\) 5.50000 + 18.1865i 0.204689 + 0.676833i
\(723\) 21.4534 0.797859
\(724\) 0.145430 + 0.122030i 0.00540485 + 0.00453521i
\(725\) −0.847296 + 0.308391i −0.0314678 + 0.0114533i
\(726\) −2.95084 16.7350i −0.109516 0.621095i
\(727\) 4.90719 27.8301i 0.181998 1.03216i −0.747755 0.663975i \(-0.768868\pi\)
0.929752 0.368185i \(-0.120021\pi\)
\(728\) 0.791737 + 0.288169i 0.0293437 + 0.0106802i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) 4.28446 7.42091i 0.158575 0.274660i
\(731\) 6.77972 5.68886i 0.250757 0.210410i
\(732\) 1.20574 1.01173i 0.0445653 0.0373947i
\(733\) 11.2883 19.5520i 0.416944 0.722168i −0.578686 0.815550i \(-0.696434\pi\)
0.995630 + 0.0933819i \(0.0297677\pi\)
\(734\) −14.9324 25.8637i −0.551166 0.954647i
\(735\) −22.6202 8.23308i −0.834359 0.303682i
\(736\) 1.50727 8.54818i 0.0555589 0.315090i
\(737\) −14.2229 80.6619i −0.523906 2.97122i
\(738\) −6.67752 + 2.43042i −0.245803 + 0.0894649i
\(739\) 20.2986 + 17.0325i 0.746696 + 0.626552i 0.934627 0.355630i \(-0.115734\pi\)
−0.187931 + 0.982182i \(0.560178\pi\)
\(740\) −18.1138 −0.665877
\(741\) −0.946967 0.282065i −0.0347877 0.0103619i
\(742\) 22.0627 0.809949
\(743\) −21.1536 17.7500i −0.776052 0.651185i 0.166199 0.986092i \(-0.446850\pi\)
−0.942251 + 0.334907i \(0.891295\pi\)
\(744\) 2.93242 1.06731i 0.107508 0.0391296i
\(745\) −2.99582 16.9902i −0.109759 0.622472i
\(746\) −3.44743 + 19.5514i −0.126220 + 0.715826i
\(747\) −1.80541 0.657115i −0.0660564 0.0240426i
\(748\) −4.37211 7.57272i −0.159860 0.276886i
\(749\) −15.0282 + 26.0296i −0.549119 + 0.951102i
\(750\) 6.69846 5.62068i 0.244593 0.205238i
\(751\) 0.988140 0.829148i 0.0360578 0.0302561i −0.624581 0.780960i \(-0.714730\pi\)
0.660638 + 0.750704i \(0.270286\pi\)
\(752\) 1.25490 2.17355i 0.0457615 0.0792612i
\(753\) −12.7836 22.1418i −0.465860 0.806893i
\(754\) 0.0256923 + 0.00935122i 0.000935657 + 0.000340551i
\(755\) −5.54576 + 31.4516i −0.201831 + 1.14464i
\(756\) −0.645430 3.66041i −0.0234741 0.133128i
\(757\) 24.3259 8.85392i 0.884141 0.321801i 0.140262 0.990114i \(-0.455206\pi\)
0.743880 + 0.668313i \(0.232983\pi\)
\(758\) 19.7836 + 16.6004i 0.718572 + 0.602954i
\(759\) 45.9249 1.66697
\(760\) 8.47818 + 12.8514i 0.307536 + 0.466168i
\(761\) 11.3396 0.411059 0.205529 0.978651i \(-0.434108\pi\)
0.205529 + 0.978651i \(0.434108\pi\)
\(762\) −8.47565 7.11192i −0.307040 0.257638i
\(763\) −53.2605 + 19.3852i −1.92816 + 0.701792i
\(764\) 3.13223 + 17.7637i 0.113320 + 0.642669i
\(765\) 1.01367 5.74881i 0.0366493 0.207849i
\(766\) −18.9201 6.88635i −0.683611 0.248814i
\(767\) 0.0248149 + 0.0429807i 0.000896015 + 0.00155194i
\(768\) 0.500000 0.866025i 0.0180422 0.0312500i
\(769\) 16.4283 13.7850i 0.592420 0.497099i −0.296579 0.955008i \(-0.595846\pi\)
0.888999 + 0.457909i \(0.151401\pi\)
\(770\) 53.2097 44.6482i 1.91754 1.60901i
\(771\) 1.39646 2.41874i 0.0502923 0.0871087i
\(772\) 8.71941 + 15.1025i 0.313818 + 0.543549i