Properties

Label 114.2.i.c.25.1
Level $114$
Weight $2$
Character 114.25
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 25.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 114.25
Dual form 114.2.i.c.73.1

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\)

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 −0.741194 0.671290i \(-0.765740\pi\)
0.466900 0.884310i \(-0.345371\pi\)
\(6\) 0.939693 0.342020i 0.383628 0.139629i
\(7\) −1.85844 + 3.21891i −0.702425 + 1.21664i 0.265188 + 0.964197i \(0.414566\pi\)
−0.967613 + 0.252438i \(0.918767\pi\)
\(8\) −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 0.921158 + 0.389190i \(0.127245\pi\)
−0.123531 + 0.992341i \(0.539422\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 0.213011 0.0775297i 0.0590786 0.0215029i −0.312312 0.949980i \(-0.601103\pi\)
0.371390 + 0.928477i \(0.378881\pi\)
\(14\) 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 −0.783276 0.621674i \(-0.786453\pi\)
0.476215 + 0.879329i \(0.342008\pi\)
\(18\) 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 −0.261894 0.965097i \(-0.584347\pi\)
0.576182 0.817321i \(-0.304542\pi\)
\(24\) −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 0.651326 0.758798i \(-0.274213\pi\)
−0.634169 + 0.773195i \(0.718657\pi\)
\(30\) −1.76604 3.05888i −0.322434 0.558472i
\(31\) −1.56031 + 2.70253i −0.280239 + 0.485389i −0.971444 0.237271i \(-0.923747\pi\)
0.691204 + 0.722660i \(0.257081\pi\)
\(32\) −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 −0.236892 0.971536i \(-0.576129\pi\)
−0.805961 + 0.591968i \(0.798351\pi\)
\(42\) −0.645430 + 3.66041i −0.0995920 + 0.564814i
\(43\) −0.929892 5.27368i −0.141807 0.804229i −0.969875 0.243602i \(-0.921671\pi\)
0.828068 0.560627i \(-0.189440\pi\)
\(44\) 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 0.491706 0.870761i \(-0.336374\pi\)
−0.772149 + 0.635442i \(0.780818\pi\)
\(48\) −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 −0.828463 0.560043i \(-0.810784\pi\)
0.970047 0.242918i \(-0.0781044\pi\)
\(54\) 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 −0.631805 0.775128i \(-0.717686\pi\)
0.653640 + 0.756806i \(0.273241\pi\)
\(60\) −3.31908 1.20805i −0.428491 0.155958i
\(61\) −0.273318 + 1.55007i −0.0349948 + 0.198466i −0.997293 0.0735316i \(-0.976573\pi\)
0.962298 + 0.271997i \(0.0876841\pi\)
\(62\) 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 0.933453 + 0.358701i \(0.116780\pi\)
0.515343 + 0.856984i \(0.327664\pi\)
\(68\) 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 0.967657 0.252271i \(-0.0811775\pi\)
−0.995582 + 0.0939008i \(0.970066\pi\)
\(72\) 0.173648 0.984808i 0.0204646 0.116061i
\(73\) −2.27972 0.829748i −0.266820 0.0971147i 0.205145 0.978731i \(-0.434233\pi\)
−0.471966 + 0.881617i \(0.656455\pi\)
\(74\) 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 0.488990 0.872289i \(-0.337365\pi\)
−0.186109 + 0.982529i \(0.559588\pi\)
\(80\) −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 −0.913919 0.405896i \(-0.866960\pi\)
0.808476 + 0.588530i \(0.200293\pi\)
\(84\) 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 0.343816 0.939037i \(-0.388280\pi\)
0.866980 + 0.498344i \(0.166058\pi\)
\(90\) −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 0.385831 0.922570i \(-0.373915\pi\)
0.975552 0.219767i \(-0.0705296\pi\)
\(98\) −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 −0.929360 0.369174i \(-0.879641\pi\)
−0.474631 + 0.880185i \(0.657418\pi\)
\(102\) −0.826352 + 1.43128i −0.0818210 + 0.141718i
\(103\) −3.33022 5.76811i −0.328137 0.568349i 0.654006 0.756490i \(-0.273087\pi\)
−0.982142 + 0.188141i \(0.939754\pi\)
\(104\) −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 −0.992565 0.121715i \(-0.961161\pi\)
0.601691 + 0.798729i \(0.294494\pi\)
\(108\) 0.939693 0.342020i 0.0904220 0.0329109i
\(109\) 2.64796 + 15.0173i 0.253628 + 1.43840i 0.799570 + 0.600573i \(0.205061\pi\)
−0.545941 + 0.837823i \(0.683828\pi\)
\(110\) 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 −0.759264 0.650783i \(-0.774441\pi\)
−0.163314 + 0.986574i \(0.552218\pi\)
\(128\) 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 −0.981561 0.191150i \(-0.938778\pi\)
0.0178001 + 0.999842i \(0.494334\pi\)
\(132\) 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 −0.988115 0.153716i \(-0.950876\pi\)
0.981098 + 0.193510i \(0.0619871\pi\)
\(138\) −1.50727 8.54818i −0.128308 0.727669i
\(139\) 9.57057 3.48340i 0.811766 0.295458i 0.0974126 0.995244i \(-0.468943\pi\)
0.714353 + 0.699786i \(0.246721\pi\)
\(140\) 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 0.147096 0.989122i \(-0.453007\pi\)
−0.523113 + 0.852263i \(0.675229\pi\)
\(150\) −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 0.987027 0.160556i \(-0.0513289\pi\)
−0.982415 + 0.186709i \(0.940218\pi\)
\(158\) 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 0.778481 0.627669i \(-0.215991\pi\)
−0.932817 + 0.360350i \(0.882657\pi\)
\(164\) −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 −0.917699 0.397276i \(-0.869956\pi\)
0.998232 0.0594456i \(-0.0189333\pi\)
\(168\) 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 −0.211617 0.977353i \(-0.567873\pi\)
0.925758 + 0.378117i \(0.123428\pi\)
\(174\) 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 0.675075 0.737749i \(-0.264111\pi\)
−0.976447 + 0.215757i \(0.930778\pi\)
\(180\) −2.70574 2.27038i −0.201674 0.169224i
\(181\) 0.145430 + 0.122030i 0.0108097 + 0.00907042i 0.648176 0.761490i \(-0.275532\pi\)
−0.637367 + 0.770561i \(0.719976\pi\)
\(182\) 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 0.856050 0.516892i \(-0.172911\pi\)
0.323521 + 0.946221i \(0.395133\pi\)
\(194\) 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 −0.616720 0.787182i \(-0.711539\pi\)
0.990080 + 0.140504i \(0.0448724\pi\)
\(198\) 2.64543 + 4.58202i 0.188003 + 0.325630i
\(199\) −10.4593 8.77639i −0.741440 0.622142i 0.191784 0.981437i \(-0.438573\pi\)
−0.933224 + 0.359295i \(0.883017\pi\)
\(200\) 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 −0.957573 0.288189i \(-0.906947\pi\)
0.117530 + 0.993069i \(0.462502\pi\)
\(212\) −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 0.878334 + 0.478047i \(0.158655\pi\)
−0.661863 + 0.749625i \(0.730234\pi\)
\(224\) 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 −0.914252 0.405146i \(-0.867221\pi\)
0.720548 0.693405i \(-0.243890\pi\)
\(234\) 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 0.999866 0.0163558i \(-0.00520644\pi\)
−0.514098 + 0.857732i \(0.671873\pi\)
\(240\) −1.76604 + 3.05888i −0.113998 + 0.197450i
\(241\) 20.1596 7.33748i 1.29859 0.472649i 0.402054 0.915616i \(-0.368296\pi\)
0.896538 + 0.442967i \(0.146074\pi\)
\(242\) 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 0.441608 + 0.897208i \(0.354408\pi\)
−0.721839 + 0.692061i \(0.756703\pi\)
\(252\) 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 0.707073 0.707140i \(-0.250015\pi\)
−0.573615 + 0.819125i \(0.694459\pi\)
\(258\) −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 0.301608 0.953432i \(-0.402477\pi\)
−0.381810 + 0.924241i \(0.624699\pi\)
\(264\) 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 0.781221 0.624254i \(-0.214597\pi\)
0.197188 + 0.980366i \(0.436819\pi\)
\(270\) 0.613341 3.47843i 0.0373267 0.211690i
\(271\) −4.46064 25.2975i −0.270964 1.53672i −0.751496 0.659738i \(-0.770667\pi\)
0.480531 0.876978i \(-0.340444\pi\)
\(272\) 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 −0.978550 0.206008i \(-0.933953\pi\)
0.310867 0.950453i \(-0.399381\pi\)
\(278\) 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 −0.975766 0.218816i \(-0.929780\pi\)
0.991760 + 0.128111i \(0.0408915\pi\)
\(282\) −2.35844 0.858402i −0.140443 0.0511171i
\(283\) 7.88326 6.61484i 0.468611 0.393211i −0.377677 0.925938i \(-0.623277\pi\)
0.846288 + 0.532726i \(0.178832\pi\)
\(284\) −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 0.895985 + 0.444085i \(0.146471\pi\)
−0.0634033 + 0.997988i \(0.520195\pi\)
\(294\) −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 0.919370 0.393394i \(-0.128699\pi\)
0.451410 + 0.892317i \(0.350921\pi\)
\(308\) −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 −0.974786 0.223142i \(-0.928368\pi\)
0.680640 + 0.732618i \(0.261702\pi\)
\(312\) −0.113341 0.196312i −0.00641666 0.0111140i
\(313\) −11.8250 9.92236i −0.668389 0.560845i 0.244199 0.969725i \(-0.421475\pi\)
−0.912588 + 0.408880i \(0.865919\pi\)
\(314\) 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 −0.955735 0.294229i \(-0.904937\pi\)
−0.543009 + 0.839727i \(0.682715\pi\)
\(318\) −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 0.963951 + 0.266079i \(0.0857282\pi\)
−0.251545 + 0.967846i \(0.580938\pi\)
\(332\) 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 −0.867606 0.497252i \(-0.834343\pi\)
0.645213 0.764003i \(-0.276769\pi\)
\(338\) −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 0.971546 0.236850i \(-0.0761150\pi\)
−0.993962 + 0.109722i \(0.965004\pi\)
\(348\) 0.113341 0.0412527i 0.00607570 0.00221138i
\(349\) −2.59879 + 4.50124i −0.139110 + 0.240946i −0.927160 0.374665i \(-0.877758\pi\)
0.788050 + 0.615611i \(0.211091\pi\)
\(350\) −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 0.734633 0.678465i \(-0.237355\pi\)
−0.954884 + 0.296978i \(0.904021\pi\)
\(354\) 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 −0.688019 0.725693i \(-0.741519\pi\)
0.595195 + 0.803582i \(0.297075\pi\)
\(360\) −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 −0.946715 0.322072i \(-0.895621\pi\)
−0.518202 + 0.855258i \(0.673398\pi\)
\(368\) −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 −0.485894 0.874017i \(-0.661506\pi\)
0.999869 0.0162118i \(-0.00516060\pi\)
\(374\) −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 −0.190088 0.981767i \(-0.560877\pi\)
−0.776684 + 0.629891i \(0.783100\pi\)
\(384\) −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 0.835771 0.549079i \(-0.185021\pi\)
−0.395607 + 0.918420i \(0.629466\pi\)
\(390\) −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 −0.355381 0.934722i \(-0.615649\pi\)
0.858810 + 0.512295i \(0.171204\pi\)
\(398\) −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 −0.139272 0.990254i \(-0.544476\pi\)
0.951026 + 0.309112i \(0.100032\pi\)
\(402\) 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 −0.103968 0.994581i \(-0.533154\pi\)
−0.997525 + 0.0703185i \(0.977598\pi\)
\(410\) 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 −0.493345 0.869834i \(-0.664226\pi\)
−0.937043 + 0.349215i \(0.886448\pi\)
\(422\) −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 −0.855417 0.517941i \(-0.826699\pi\)
−0.322361 + 0.946617i \(0.604477\pi\)
\(432\) −0.173648 0.984808i −0.00835465 0.0473816i
\(433\) −4.69965 + 26.6530i −0.225851 + 1.28086i 0.635202 + 0.772346i \(0.280917\pi\)
−0.861053 + 0.508516i \(0.830194\pi\)
\(434\) −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 −0.694964 0.719045i \(-0.744580\pi\)
0.587442 + 0.809267i \(0.300135\pi\)
\(440\) −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 −0.874437 0.485138i \(-0.838769\pi\)
−0.358017 + 0.933715i \(0.616547\pi\)
\(444\) 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 −0.993640 0.112602i \(-0.964082\pi\)
0.594336 + 0.804217i \(0.297415\pi\)
\(450\) −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 −0.981357 0.192196i \(-0.938439\pi\)
0.856438 0.516249i \(-0.172672\pi\)
\(462\) −18.4795 + 6.72600i −0.859745 + 0.312922i
\(463\) −14.9907 + 25.9646i −0.696675 + 1.20668i 0.272937 + 0.962032i \(0.412005\pi\)
−0.969613 + 0.244645i \(0.921328\pi\)
\(464\) −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 −0.978372 0.206855i \(-0.933677\pi\)
0.310044 0.950722i \(-0.399656\pi\)
\(468\) 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 −0.881430 0.472315i \(-0.843418\pi\)
0.989814 0.142364i \(-0.0454704\pi\)
\(480\) 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 −0.787512 0.616300i \(-0.788631\pi\)
0.927487 + 0.373855i \(0.121964\pi\)
\(488\) 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 0.253543 0.967324i \(-0.418404\pi\)
−0.427558 + 0.903988i \(0.640626\pi\)
\(492\) −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 0.894880 + 0.446306i \(0.147261\pi\)
−0.688266 + 0.725458i \(0.741628\pi\)
\(500\) 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 0.0812712 0.996692i \(-0.474102\pi\)
−0.967437 + 0.253110i \(0.918546\pi\)
\(504\) 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 0.719977 + 0.693998i \(0.244152\pi\)
−0.913918 + 0.405898i \(0.866959\pi\)
\(510\) 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 0.894827 0.446412i \(-0.147298\pi\)
−0.834018 + 0.551737i \(0.813965\pi\)
\(522\) 0.0923963 + 0.0775297i 0.00404407 + 0.00339338i
\(523\) 8.60678 + 7.22195i 0.376348 + 0.315794i 0.811267 0.584676i \(-0.198778\pi\)
−0.434919 + 0.900470i \(0.643223\pi\)
\(524\) 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 0.203773 0.979018i \(-0.434680\pi\)
−0.928760 + 0.370682i \(0.879124\pi\)
\(542\) −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 −0.546061 0.837746i \(-0.683873\pi\)
0.799655 0.600460i \(-0.205016\pi\)
\(548\) 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 0.549484 0.835504i \(-0.314824\pi\)
0.957981 + 0.286832i \(0.0926023\pi\)
\(558\) −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 −0.962711 0.270533i \(-0.912800\pi\)
0.715644 + 0.698465i \(0.246133\pi\)
\(564\) −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 −0.999528 0.0307187i \(-0.990220\pi\)
0.526367 + 0.850257i \(0.323554\pi\)
\(578\) 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 −0.794274 0.607560i \(-0.792148\pi\)
0.460405 + 0.887709i \(0.347704\pi\)
\(588\) −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 0.922126 + 0.386889i \(0.126450\pi\)
−0.998839 + 0.0481709i \(0.984661\pi\)
\(594\) 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 0.174656 0.984630i \(-0.444119\pi\)
−0.939342 + 0.342982i \(0.888563\pi\)
\(600\) 3.73783 + 6.47410i 0.152596 + 0.264304i
\(601\) 13.2057 22.8730i 0.538673 0.933009i −0.460303 0.887762i \(-0.652259\pi\)
0.998976 0.0452473i \(-0.0144076\pi\)
\(602\) 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 0.998528 0.0542418i \(-0.0172742\pi\)
−0.956861 + 0.290546i \(0.906163\pi\)
\(614\) 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 −0.0591558 0.998249i \(-0.518841\pi\)
−0.993355 + 0.115087i \(0.963285\pi\)
\(618\) −5.10220 4.28125i −0.205240 0.172217i
\(619\) −16.1506 27.9737i −0.649149 1.12436i −0.983326 0.181849i \(-0.941792\pi\)
0.334177 0.942510i \(-0.391542\pi\)
\(620\) 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 −0.856903 0.515478i \(-0.827614\pi\)
0.981529 0.191313i \(-0.0612745\pi\)
\(632\) −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 0.992397 0.123077i \(-0.0392764\pi\)
−0.974643 + 0.223765i \(0.928165\pi\)
\(642\) −1.40420 + 7.96361i −0.0554194 + 0.314299i
\(643\) −15.2160 5.53817i −0.600061 0.218404i 0.0240880 0.999710i \(-0.492332\pi\)
−0.624149 + 0.781306i \(0.714554\pi\)
\(644\) 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 −0.979450 0.201687i \(-0.935358\pi\)
0.664391 + 0.747385i \(0.268691\pi\)
\(654\) 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 −0.0619017 0.998082i \(-0.519717\pi\)
0.594135 + 0.804365i \(0.297494\pi\)
\(660\) −3.24510 18.4039i −0.126315 0.716370i
\(661\) −2.52915 + 14.3435i −0.0983726 + 0.557899i 0.895289 + 0.445486i \(0.146969\pi\)
−0.993662 + 0.112413i \(0.964142\pi\)
\(662\) 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 0.520482 0.853873i \(-0.325752\pi\)
−0.999716 + 0.0238142i \(0.992419\pi\)
\(674\) −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 −0.0560563 + 0.998428i \(0.517853\pi\)
−0.836636 + 0.547760i \(0.815481\pi\)
\(678\) 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 −0.671750 0.740778i \(-0.734457\pi\)
0.977407 + 0.211364i \(0.0677905\pi\)
\(692\) −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 −0.774808 0.632196i \(-0.782154\pi\)
0.488048 + 0.872817i \(0.337709\pi\)
\(702\) 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 0.191748 0.981444i \(-0.438584\pi\)
0.777747 + 0.628577i \(0.216362\pi\)
\(710\) −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 0.118072 0.993005i \(-0.462329\pi\)
−0.547843 + 0.836581i \(0.684551\pi\)
\(720\) −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 0.929752 + 0.368185i \(0.120021\pi\)
−0.747755 + 0.663975i \(0.768868\pi\)
\(728\) 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 0.995630 0.0933819i \(-0.0297677\pi\)
−0.578686 + 0.815550i \(0.696434\pi\)
\(734\) −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 −0.187931 0.982182i \(-0.560178\pi\)
0.934627 + 0.355630i \(0.115734\pi\)
\(740\) −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 −0.942251 0.334907i \(-0.891295\pi\)
0.166199 + 0.986092i \(0.446850\pi\)
\(744\) 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 0.660638 0.750704i \(-0.270286\pi\)
−0.624581 + 0.780960i \(0.714730\pi\)
\(752\) 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 0.743880 0.668313i \(-0.232983\pi\)
0.140262 + 0.990114i \(0.455206\pi\)
\(758\) 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 0.888999 0.457909i \(-0.151401\pi\)
−0.296579 + 0.955008i \(0.595846\pi\)
\(770\) 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