Properties

Label 570.2.u.a.541.1
Level $570$
Weight $2$
Character 570.541
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
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 541.1
Root \(-0.766044 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 570.541
Dual form 570.2.u.a.511.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(-0.766044 + 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-2.28699 + 3.96118i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(-0.766044 + 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.939693 + 0.342020i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-2.28699 + 3.96118i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +(0.173648 - 0.984808i) q^{10} +(0.173648 + 0.300767i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-4.99273 - 4.18939i) q^{13} +(4.29813 + 1.56439i) q^{14} +(-0.939693 + 0.342020i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.22668 - 6.95686i) q^{17} -1.00000 q^{18} +(-2.82635 - 3.31839i) q^{19} -1.00000 q^{20} +(-0.794263 - 4.50449i) q^{21} +(0.266044 - 0.223238i) q^{22} +(-5.54576 + 2.01849i) q^{23} +(-0.939693 - 0.342020i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-3.25877 + 5.64436i) q^{26} +(0.500000 + 0.866025i) q^{27} +(0.794263 - 4.50449i) q^{28} +(-0.879385 + 4.98724i) q^{29} +(0.500000 + 0.866025i) q^{30} +(1.18479 - 2.05212i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-0.326352 - 0.118782i) q^{33} +(-6.63816 + 2.41609i) q^{34} +(-3.50387 + 2.94010i) q^{35} +(0.173648 + 0.984808i) q^{36} +7.66044 q^{37} +(-2.77719 + 3.35965i) q^{38} +6.51754 q^{39} +(0.173648 + 0.984808i) q^{40} +(0.364370 - 0.305743i) q^{41} +(-4.29813 + 1.56439i) q^{42} +(-6.71688 - 2.44474i) q^{43} +(-0.266044 - 0.223238i) q^{44} +(0.500000 - 0.866025i) q^{45} +(2.95084 + 5.11100i) q^{46} +(-1.01114 + 5.73448i) q^{47} +(-0.173648 + 0.984808i) q^{48} +(-6.96064 - 12.0562i) q^{49} +(0.500000 - 0.866025i) q^{50} +(5.41147 + 4.54077i) q^{51} +(6.12449 + 2.22913i) q^{52} +(-9.70961 + 3.53401i) q^{53} +(0.766044 - 0.642788i) q^{54} +(0.0603074 + 0.342020i) q^{55} -4.57398 q^{56} +(4.29813 + 0.725293i) q^{57} +5.06418 q^{58} +(0.316552 + 1.79525i) q^{59} +(0.766044 - 0.642788i) q^{60} +(-10.8229 + 3.93923i) q^{61} +(-2.22668 - 0.810446i) q^{62} +(3.50387 + 2.94010i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-3.25877 - 5.64436i) q^{65} +(-0.0603074 + 0.342020i) q^{66} +(0.106067 - 0.601535i) q^{67} +(3.53209 + 6.11776i) q^{68} +(2.95084 - 5.11100i) q^{69} +(3.50387 + 2.94010i) q^{70} +(11.0496 + 4.02174i) q^{71} +(0.939693 - 0.342020i) q^{72} +(-4.94356 + 4.14814i) q^{73} +(-1.33022 - 7.54407i) q^{74} -1.00000 q^{75} +(3.79086 + 2.15160i) q^{76} -1.58853 q^{77} +(-1.13176 - 6.41852i) q^{78} +(6.69459 - 5.61743i) q^{79} +(0.939693 - 0.342020i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(-0.364370 - 0.305743i) q^{82} +(-0.837496 + 1.45059i) q^{83} +(2.28699 + 3.96118i) q^{84} +(1.22668 - 6.95686i) q^{85} +(-1.24123 + 7.03936i) q^{86} +(-2.53209 - 4.38571i) q^{87} +(-0.173648 + 0.300767i) q^{88} +(-8.30200 - 6.96621i) q^{89} +(-0.939693 - 0.342020i) q^{90} +(28.0133 - 10.1960i) q^{91} +(4.52094 - 3.79352i) q^{92} +(0.411474 + 2.33359i) q^{93} +5.82295 q^{94} +(-1.52094 - 4.08494i) q^{95} +1.00000 q^{96} +(0.184793 + 1.04801i) q^{97} +(-10.6643 + 8.94842i) q^{98} +(0.326352 - 0.118782i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 6q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 6q^{7} + 3q^{8} + 3q^{12} - 12q^{13} + 12q^{14} + 6q^{17} - 6q^{18} - 18q^{19} - 6q^{20} - 15q^{21} - 3q^{22} - 3q^{23} + 3q^{26} + 3q^{27} + 15q^{28} + 6q^{29} + 3q^{30} - 3q^{33} - 6q^{34} + 3q^{35} - 6q^{38} - 6q^{39} + 21q^{41} - 12q^{42} - 24q^{43} + 3q^{44} + 3q^{45} + 6q^{46} - 33q^{49} + 3q^{50} + 12q^{51} + 24q^{52} - 24q^{53} + 6q^{55} - 12q^{56} + 12q^{57} + 12q^{58} - 24q^{61} - 3q^{63} - 3q^{64} + 3q^{65} - 6q^{66} - 24q^{67} + 12q^{68} + 6q^{69} - 3q^{70} + 12q^{71} + 15q^{74} - 6q^{75} - 9q^{76} - 30q^{77} - 12q^{78} + 36q^{79} - 21q^{82} + 6q^{84} - 6q^{85} - 30q^{86} - 6q^{87} - 12q^{89} + 24q^{91} + 24q^{92} - 18q^{93} - 6q^{94} - 6q^{95} + 6q^{96} - 6q^{97} + 6q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) −0.766044 + 0.642788i −0.442276 + 0.371114i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.939693 + 0.342020i 0.420243 + 0.152956i
\(6\) 0.766044 + 0.642788i 0.312736 + 0.262417i
\(7\) −2.28699 + 3.96118i −0.864401 + 1.49719i 0.00324055 + 0.999995i \(0.498969\pi\)
−0.867641 + 0.497191i \(0.834365\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.173648 0.984808i 0.0578827 0.328269i
\(10\) 0.173648 0.984808i 0.0549124 0.311424i
\(11\) 0.173648 + 0.300767i 0.0523569 + 0.0906848i 0.891016 0.453972i \(-0.149993\pi\)
−0.838659 + 0.544657i \(0.816660\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −4.99273 4.18939i −1.38473 1.16193i −0.967423 0.253165i \(-0.918529\pi\)
−0.417310 0.908764i \(-0.637027\pi\)
\(14\) 4.29813 + 1.56439i 1.14872 + 0.418102i
\(15\) −0.939693 + 0.342020i −0.242628 + 0.0883092i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.22668 6.95686i −0.297514 1.68729i −0.656805 0.754060i \(-0.728093\pi\)
0.359291 0.933225i \(-0.383018\pi\)
\(18\) −1.00000 −0.235702
\(19\) −2.82635 3.31839i −0.648410 0.761292i
\(20\) −1.00000 −0.223607
\(21\) −0.794263 4.50449i −0.173322 0.982960i
\(22\) 0.266044 0.223238i 0.0567209 0.0475945i
\(23\) −5.54576 + 2.01849i −1.15637 + 0.420885i −0.847800 0.530317i \(-0.822073\pi\)
−0.308571 + 0.951201i \(0.599851\pi\)
\(24\) −0.939693 0.342020i −0.191814 0.0698146i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) −3.25877 + 5.64436i −0.639097 + 1.10695i
\(27\) 0.500000 + 0.866025i 0.0962250 + 0.166667i
\(28\) 0.794263 4.50449i 0.150102 0.851268i
\(29\) −0.879385 + 4.98724i −0.163298 + 0.926108i 0.787504 + 0.616309i \(0.211373\pi\)
−0.950802 + 0.309799i \(0.899738\pi\)
\(30\) 0.500000 + 0.866025i 0.0912871 + 0.158114i
\(31\) 1.18479 2.05212i 0.212795 0.368572i −0.739793 0.672834i \(-0.765077\pi\)
0.952588 + 0.304263i \(0.0984100\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) −0.326352 0.118782i −0.0568106 0.0206774i
\(34\) −6.63816 + 2.41609i −1.13843 + 0.414356i
\(35\) −3.50387 + 2.94010i −0.592262 + 0.496967i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) 7.66044 1.25937 0.629685 0.776851i \(-0.283184\pi\)
0.629685 + 0.776851i \(0.283184\pi\)
\(38\) −2.77719 + 3.35965i −0.450520 + 0.545007i
\(39\) 6.51754 1.04364
\(40\) 0.173648 + 0.984808i 0.0274562 + 0.155712i
\(41\) 0.364370 0.305743i 0.0569051 0.0477491i −0.613892 0.789390i \(-0.710397\pi\)
0.670797 + 0.741641i \(0.265952\pi\)
\(42\) −4.29813 + 1.56439i −0.663216 + 0.241391i
\(43\) −6.71688 2.44474i −1.02431 0.372820i −0.225401 0.974266i \(-0.572369\pi\)
−0.798914 + 0.601446i \(0.794592\pi\)
\(44\) −0.266044 0.223238i −0.0401077 0.0336544i
\(45\) 0.500000 0.866025i 0.0745356 0.129099i
\(46\) 2.95084 + 5.11100i 0.435077 + 0.753576i
\(47\) −1.01114 + 5.73448i −0.147491 + 0.836461i 0.817843 + 0.575441i \(0.195170\pi\)
−0.965334 + 0.261019i \(0.915941\pi\)
\(48\) −0.173648 + 0.984808i −0.0250640 + 0.142145i
\(49\) −6.96064 12.0562i −0.994377 1.72231i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 5.41147 + 4.54077i 0.757758 + 0.635834i
\(52\) 6.12449 + 2.22913i 0.849313 + 0.309125i
\(53\) −9.70961 + 3.53401i −1.33372 + 0.485433i −0.907828 0.419342i \(-0.862261\pi\)
−0.425889 + 0.904775i \(0.640039\pi\)
\(54\) 0.766044 0.642788i 0.104245 0.0874723i
\(55\) 0.0603074 + 0.342020i 0.00813185 + 0.0461180i
\(56\) −4.57398 −0.611224
\(57\) 4.29813 + 0.725293i 0.569302 + 0.0960674i
\(58\) 5.06418 0.664959
\(59\) 0.316552 + 1.79525i 0.0412115 + 0.233722i 0.998455 0.0555602i \(-0.0176945\pi\)
−0.957244 + 0.289282i \(0.906583\pi\)
\(60\) 0.766044 0.642788i 0.0988959 0.0829835i
\(61\) −10.8229 + 3.93923i −1.38574 + 0.504367i −0.923912 0.382605i \(-0.875027\pi\)
−0.461824 + 0.886971i \(0.652805\pi\)
\(62\) −2.22668 0.810446i −0.282789 0.102927i
\(63\) 3.50387 + 2.94010i 0.441446 + 0.370417i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −3.25877 5.64436i −0.404201 0.700096i
\(66\) −0.0603074 + 0.342020i −0.00742333 + 0.0420998i
\(67\) 0.106067 0.601535i 0.0129581 0.0734892i −0.977643 0.210272i \(-0.932565\pi\)
0.990601 + 0.136783i \(0.0436762\pi\)
\(68\) 3.53209 + 6.11776i 0.428329 + 0.741887i
\(69\) 2.95084 5.11100i 0.355239 0.615292i
\(70\) 3.50387 + 2.94010i 0.418793 + 0.351409i
\(71\) 11.0496 + 4.02174i 1.31135 + 0.477292i 0.900677 0.434490i \(-0.143071\pi\)
0.410673 + 0.911783i \(0.365294\pi\)
\(72\) 0.939693 0.342020i 0.110744 0.0403075i
\(73\) −4.94356 + 4.14814i −0.578600 + 0.485503i −0.884487 0.466565i \(-0.845492\pi\)
0.305887 + 0.952068i \(0.401047\pi\)
\(74\) −1.33022 7.54407i −0.154635 0.876980i
\(75\) −1.00000 −0.115470
\(76\) 3.79086 + 2.15160i 0.434841 + 0.246806i
\(77\) −1.58853 −0.181029
\(78\) −1.13176 6.41852i −0.128146 0.726755i
\(79\) 6.69459 5.61743i 0.753201 0.632010i −0.183147 0.983086i \(-0.558628\pi\)
0.936347 + 0.351075i \(0.114184\pi\)
\(80\) 0.939693 0.342020i 0.105061 0.0382390i
\(81\) −0.939693 0.342020i −0.104410 0.0380022i
\(82\) −0.364370 0.305743i −0.0402380 0.0337637i
\(83\) −0.837496 + 1.45059i −0.0919271 + 0.159222i −0.908322 0.418272i \(-0.862636\pi\)
0.816395 + 0.577494i \(0.195969\pi\)
\(84\) 2.28699 + 3.96118i 0.249531 + 0.432200i
\(85\) 1.22668 6.95686i 0.133052 0.754577i
\(86\) −1.24123 + 7.03936i −0.133845 + 0.759074i
\(87\) −2.53209 4.38571i −0.271468 0.470197i
\(88\) −0.173648 + 0.300767i −0.0185110 + 0.0320619i
\(89\) −8.30200 6.96621i −0.880011 0.738417i 0.0861706 0.996280i \(-0.472537\pi\)
−0.966181 + 0.257864i \(0.916981\pi\)
\(90\) −0.939693 0.342020i −0.0990523 0.0360521i
\(91\) 28.0133 10.1960i 2.93659 1.06883i
\(92\) 4.52094 3.79352i 0.471341 0.395502i
\(93\) 0.411474 + 2.33359i 0.0426679 + 0.241982i
\(94\) 5.82295 0.600591
\(95\) −1.52094 4.08494i −0.156046 0.419106i
\(96\) 1.00000 0.102062
\(97\) 0.184793 + 1.04801i 0.0187628 + 0.106409i 0.992751 0.120190i \(-0.0383503\pi\)
−0.973988 + 0.226599i \(0.927239\pi\)
\(98\) −10.6643 + 8.94842i −1.07726 + 0.903927i
\(99\) 0.326352 0.118782i 0.0327996 0.0119381i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) 9.53983 + 8.00487i 0.949249 + 0.796514i 0.979171 0.203038i \(-0.0650815\pi\)
−0.0299223 + 0.999552i \(0.509526\pi\)
\(102\) 3.53209 6.11776i 0.349729 0.605748i
\(103\) 0.648833 + 1.12381i 0.0639314 + 0.110733i 0.896219 0.443611i \(-0.146303\pi\)
−0.832288 + 0.554343i \(0.812969\pi\)
\(104\) 1.13176 6.41852i 0.110978 0.629388i
\(105\) 0.794263 4.50449i 0.0775121 0.439593i
\(106\) 5.16637 + 8.94842i 0.501803 + 0.869148i
\(107\) −8.12836 + 14.0787i −0.785798 + 1.36104i 0.142724 + 0.989763i \(0.454414\pi\)
−0.928521 + 0.371279i \(0.878919\pi\)
\(108\) −0.766044 0.642788i −0.0737127 0.0618523i
\(109\) 1.53209 + 0.557635i 0.146748 + 0.0534117i 0.414350 0.910118i \(-0.364009\pi\)
−0.267602 + 0.963529i \(0.586231\pi\)
\(110\) 0.326352 0.118782i 0.0311164 0.0113255i
\(111\) −5.86824 + 4.92404i −0.556989 + 0.467369i
\(112\) 0.794263 + 4.50449i 0.0750508 + 0.425634i
\(113\) 4.93582 0.464323 0.232162 0.972677i \(-0.425420\pi\)
0.232162 + 0.972677i \(0.425420\pi\)
\(114\) −0.0320889 4.35878i −0.00300540 0.408237i
\(115\) −5.90167 −0.550334
\(116\) −0.879385 4.98724i −0.0816489 0.463054i
\(117\) −4.99273 + 4.18939i −0.461578 + 0.387310i
\(118\) 1.71301 0.623485i 0.157695 0.0573964i
\(119\) 30.3628 + 11.0511i 2.78335 + 1.01306i
\(120\) −0.766044 0.642788i −0.0699300 0.0586782i
\(121\) 5.43969 9.42182i 0.494518 0.856529i
\(122\) 5.75877 + 9.97448i 0.521375 + 0.903047i
\(123\) −0.0825961 + 0.468426i −0.00744744 + 0.0422365i
\(124\) −0.411474 + 2.33359i −0.0369515 + 0.209562i
\(125\) 0.500000 + 0.866025i 0.0447214 + 0.0774597i
\(126\) 2.28699 3.96118i 0.203741 0.352890i
\(127\) −1.67159 1.40263i −0.148330 0.124463i 0.565603 0.824677i \(-0.308643\pi\)
−0.713933 + 0.700214i \(0.753088\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) 6.71688 2.44474i 0.591388 0.215248i
\(130\) −4.99273 + 4.18939i −0.437891 + 0.367434i
\(131\) −0.330222 1.87278i −0.0288516 0.163626i 0.966978 0.254861i \(-0.0820297\pi\)
−0.995829 + 0.0912350i \(0.970919\pi\)
\(132\) 0.347296 0.0302283
\(133\) 19.6086 3.60656i 1.70028 0.312729i
\(134\) −0.610815 −0.0527663
\(135\) 0.173648 + 0.984808i 0.0149453 + 0.0847588i
\(136\) 5.41147 4.54077i 0.464030 0.389367i
\(137\) 1.07873 0.392624i 0.0921618 0.0335441i −0.295528 0.955334i \(-0.595495\pi\)
0.387690 + 0.921790i \(0.373273\pi\)
\(138\) −5.54576 2.01849i −0.472086 0.171825i
\(139\) −17.7934 14.9304i −1.50922 1.26638i −0.865265 0.501315i \(-0.832850\pi\)
−0.643950 0.765067i \(-0.722706\pi\)
\(140\) 2.28699 3.96118i 0.193286 0.334781i
\(141\) −2.91147 5.04282i −0.245190 0.424682i
\(142\) 2.04189 11.5801i 0.171352 0.971783i
\(143\) 0.393056 2.22913i 0.0328690 0.186409i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −2.53209 + 4.38571i −0.210279 + 0.364213i
\(146\) 4.94356 + 4.14814i 0.409132 + 0.343303i
\(147\) 13.0817 + 4.76136i 1.07896 + 0.392710i
\(148\) −7.19846 + 2.62003i −0.591710 + 0.215365i
\(149\) −9.41921 + 7.90366i −0.771652 + 0.647493i −0.941131 0.338041i \(-0.890236\pi\)
0.169479 + 0.985534i \(0.445791\pi\)
\(150\) 0.173648 + 0.984808i 0.0141783 + 0.0804092i
\(151\) −7.06418 −0.574875 −0.287437 0.957799i \(-0.592803\pi\)
−0.287437 + 0.957799i \(0.592803\pi\)
\(152\) 1.46064 4.10689i 0.118473 0.333113i
\(153\) −7.06418 −0.571105
\(154\) 0.275845 + 1.56439i 0.0222282 + 0.126062i
\(155\) 1.81521 1.52314i 0.145801 0.122342i
\(156\) −6.12449 + 2.22913i −0.490351 + 0.178473i
\(157\) −1.01367 0.368946i −0.0808997 0.0294451i 0.301253 0.953544i \(-0.402595\pi\)
−0.382153 + 0.924099i \(0.624817\pi\)
\(158\) −6.69459 5.61743i −0.532593 0.446899i
\(159\) 5.16637 8.94842i 0.409720 0.709656i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 4.68748 26.5840i 0.369425 2.09511i
\(162\) −0.173648 + 0.984808i −0.0136431 + 0.0773738i
\(163\) −6.36959 11.0324i −0.498904 0.864128i 0.501095 0.865392i \(-0.332931\pi\)
−0.999999 + 0.00126462i \(0.999597\pi\)
\(164\) −0.237826 + 0.411927i −0.0185711 + 0.0321661i
\(165\) −0.266044 0.223238i −0.0207115 0.0173790i
\(166\) 1.57398 + 0.572881i 0.122164 + 0.0444642i
\(167\) 0.168900 0.0614747i 0.0130699 0.00475706i −0.335477 0.942048i \(-0.608897\pi\)
0.348547 + 0.937291i \(0.386675\pi\)
\(168\) 3.50387 2.94010i 0.270329 0.226833i
\(169\) 5.11886 + 29.0305i 0.393758 + 2.23312i
\(170\) −7.06418 −0.541798
\(171\) −3.75877 + 2.20718i −0.287440 + 0.168787i
\(172\) 7.14796 0.545027
\(173\) −2.37077 13.4453i −0.180246 1.02223i −0.931913 0.362683i \(-0.881861\pi\)
0.751666 0.659543i \(-0.229250\pi\)
\(174\) −3.87939 + 3.25519i −0.294095 + 0.246775i
\(175\) −4.29813 + 1.56439i −0.324908 + 0.118257i
\(176\) 0.326352 + 0.118782i 0.0245997 + 0.00895356i
\(177\) −1.39646 1.17177i −0.104964 0.0880755i
\(178\) −5.41875 + 9.38555i −0.406152 + 0.703476i
\(179\) 10.6951 + 18.5244i 0.799386 + 1.38458i 0.920016 + 0.391880i \(0.128175\pi\)
−0.120630 + 0.992698i \(0.538491\pi\)
\(180\) −0.173648 + 0.984808i −0.0129430 + 0.0734032i
\(181\) 1.44057 8.16988i 0.107077 0.607262i −0.883294 0.468820i \(-0.844679\pi\)
0.990370 0.138442i \(-0.0442096\pi\)
\(182\) −14.9055 25.8172i −1.10487 1.91370i
\(183\) 5.75877 9.97448i 0.425701 0.737335i
\(184\) −4.52094 3.79352i −0.333288 0.279662i
\(185\) 7.19846 + 2.62003i 0.529242 + 0.192628i
\(186\) 2.22668 0.810446i 0.163268 0.0594248i
\(187\) 1.87939 1.57699i 0.137434 0.115321i
\(188\) −1.01114 5.73448i −0.0737453 0.418230i
\(189\) −4.57398 −0.332708
\(190\) −3.75877 + 2.20718i −0.272690 + 0.160126i
\(191\) −12.9513 −0.937123 −0.468562 0.883431i \(-0.655228\pi\)
−0.468562 + 0.883431i \(0.655228\pi\)
\(192\) −0.173648 0.984808i −0.0125320 0.0710724i
\(193\) −9.88713 + 8.29628i −0.711691 + 0.597180i −0.925073 0.379789i \(-0.875997\pi\)
0.213382 + 0.976969i \(0.431552\pi\)
\(194\) 1.00000 0.363970i 0.0717958 0.0261315i
\(195\) 6.12449 + 2.22913i 0.438583 + 0.159631i
\(196\) 10.6643 + 8.94842i 0.761737 + 0.639173i
\(197\) 5.75537 9.96859i 0.410053 0.710232i −0.584842 0.811147i \(-0.698844\pi\)
0.994895 + 0.100915i \(0.0321769\pi\)
\(198\) −0.173648 0.300767i −0.0123406 0.0213746i
\(199\) −4.19934 + 23.8156i −0.297683 + 1.68825i 0.358408 + 0.933565i \(0.383320\pi\)
−0.656092 + 0.754681i \(0.727792\pi\)
\(200\) −0.173648 + 0.984808i −0.0122788 + 0.0696364i
\(201\) 0.305407 + 0.528981i 0.0215418 + 0.0373114i
\(202\) 6.22668 10.7849i 0.438108 0.758825i
\(203\) −17.7442 14.8892i −1.24540 1.04501i
\(204\) −6.63816 2.41609i −0.464764 0.169160i
\(205\) 0.446967 0.162683i 0.0312175 0.0113622i
\(206\) 0.994070 0.834124i 0.0692602 0.0581162i
\(207\) 1.02481 + 5.81201i 0.0712296 + 0.403963i
\(208\) −6.51754 −0.451910
\(209\) 0.507274 1.42631i 0.0350889 0.0986598i
\(210\) −4.57398 −0.315634
\(211\) −0.989322 5.61073i −0.0681078 0.386258i −0.999739 0.0228529i \(-0.992725\pi\)
0.931631 0.363405i \(-0.118386\pi\)
\(212\) 7.91534 6.64176i 0.543628 0.456158i
\(213\) −11.0496 + 4.02174i −0.757108 + 0.275565i
\(214\) 15.2763 + 5.56012i 1.04427 + 0.380082i
\(215\) −5.47565 4.59462i −0.373436 0.313350i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) 5.41921 + 9.38636i 0.367880 + 0.637187i
\(218\) 0.283119 1.60565i 0.0191752 0.108748i
\(219\) 1.12061 6.35532i 0.0757241 0.429453i
\(220\) −0.173648 0.300767i −0.0117074 0.0202777i
\(221\) −23.0205 + 39.8727i −1.54853 + 2.68213i
\(222\) 5.86824 + 4.92404i 0.393851 + 0.330480i
\(223\) 22.1348 + 8.05639i 1.48225 + 0.539496i 0.951397 0.307967i \(-0.0996485\pi\)
0.530855 + 0.847462i \(0.321871\pi\)
\(224\) 4.29813 1.56439i 0.287181 0.104525i
\(225\) 0.766044 0.642788i 0.0510696 0.0428525i
\(226\) −0.857097 4.86084i −0.0570132 0.323338i
\(227\) 24.9513 1.65608 0.828038 0.560672i \(-0.189457\pi\)
0.828038 + 0.560672i \(0.189457\pi\)
\(228\) −4.28699 + 0.788496i −0.283913 + 0.0522194i
\(229\) 4.09926 0.270887 0.135443 0.990785i \(-0.456754\pi\)
0.135443 + 0.990785i \(0.456754\pi\)
\(230\) 1.02481 + 5.81201i 0.0675743 + 0.383233i
\(231\) 1.21688 1.02108i 0.0800649 0.0671824i
\(232\) −4.75877 + 1.73205i −0.312429 + 0.113715i
\(233\) 14.5817 + 5.30731i 0.955280 + 0.347694i 0.772182 0.635401i \(-0.219165\pi\)
0.183098 + 0.983095i \(0.441387\pi\)
\(234\) 4.99273 + 4.18939i 0.326385 + 0.273869i
\(235\) −2.91147 + 5.04282i −0.189924 + 0.328957i
\(236\) −0.911474 1.57872i −0.0593319 0.102766i
\(237\) −1.51754 + 8.60640i −0.0985749 + 0.559046i
\(238\) 5.61081 31.8205i 0.363695 2.06262i
\(239\) −2.17024 3.75897i −0.140381 0.243148i 0.787259 0.616623i \(-0.211500\pi\)
−0.927640 + 0.373475i \(0.878166\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) 8.99273 + 7.54579i 0.579272 + 0.486067i 0.884708 0.466145i \(-0.154358\pi\)
−0.305436 + 0.952213i \(0.598802\pi\)
\(242\) −10.2233 3.72097i −0.657177 0.239193i
\(243\) 0.939693 0.342020i 0.0602813 0.0219406i
\(244\) 8.82295 7.40333i 0.564831 0.473950i
\(245\) −2.41740 13.7098i −0.154442 0.875886i
\(246\) 0.475652 0.0303265
\(247\) 0.209141 + 28.4085i 0.0133073 + 1.80759i
\(248\) 2.36959 0.150469
\(249\) −0.290859 1.64955i −0.0184325 0.104536i
\(250\) 0.766044 0.642788i 0.0484489 0.0406535i
\(251\) 3.80453 1.38474i 0.240140 0.0874037i −0.219147 0.975692i \(-0.570327\pi\)
0.459287 + 0.888288i \(0.348105\pi\)
\(252\) −4.29813 1.56439i −0.270757 0.0985475i
\(253\) −1.57011 1.31748i −0.0987118 0.0828290i
\(254\) −1.09105 + 1.88976i −0.0684587 + 0.118574i
\(255\) 3.53209 + 6.11776i 0.221188 + 0.383109i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −2.47565 + 14.0401i −0.154427 + 0.875799i 0.804881 + 0.593436i \(0.202229\pi\)
−0.959308 + 0.282362i \(0.908882\pi\)
\(258\) −3.57398 6.19031i −0.222506 0.385392i
\(259\) −17.5194 + 30.3444i −1.08860 + 1.88551i
\(260\) 4.99273 + 4.18939i 0.309636 + 0.259815i
\(261\) 4.75877 + 1.73205i 0.294560 + 0.107211i
\(262\) −1.78699 + 0.650411i −0.110401 + 0.0401825i
\(263\) −11.0890 + 9.30477i −0.683777 + 0.573757i −0.917107 0.398641i \(-0.869482\pi\)
0.233331 + 0.972397i \(0.425038\pi\)
\(264\) −0.0603074 0.342020i −0.00371166 0.0210499i
\(265\) −10.3327 −0.634736
\(266\) −6.95677 18.6844i −0.426547 1.14562i
\(267\) 10.8375 0.663244
\(268\) 0.106067 + 0.601535i 0.00647906 + 0.0367446i
\(269\) −2.27126 + 1.90581i −0.138481 + 0.116199i −0.709397 0.704809i \(-0.751033\pi\)
0.570916 + 0.821009i \(0.306588\pi\)
\(270\) 0.939693 0.342020i 0.0571879 0.0208147i
\(271\) −26.0847 9.49406i −1.58453 0.576723i −0.608350 0.793669i \(-0.708168\pi\)
−0.976184 + 0.216946i \(0.930390\pi\)
\(272\) −5.41147 4.54077i −0.328119 0.275324i
\(273\) −14.9055 + 25.8172i −0.902125 + 1.56253i
\(274\) −0.573978 0.994159i −0.0346753 0.0600593i
\(275\) −0.0603074 + 0.342020i −0.00363667 + 0.0206246i
\(276\) −1.02481 + 5.81201i −0.0616866 + 0.349842i
\(277\) −1.13041 1.95794i −0.0679201 0.117641i 0.830066 0.557666i \(-0.188303\pi\)
−0.897986 + 0.440025i \(0.854970\pi\)
\(278\) −11.6138 + 20.1157i −0.696550 + 1.20646i
\(279\) −1.81521 1.52314i −0.108674 0.0911880i
\(280\) −4.29813 1.56439i −0.256863 0.0934903i
\(281\) 15.3109 5.57272i 0.913373 0.332441i 0.157774 0.987475i \(-0.449568\pi\)
0.755599 + 0.655034i \(0.227346\pi\)
\(282\) −4.46064 + 3.74292i −0.265627 + 0.222888i
\(283\) 0.101014 + 0.572881i 0.00600468 + 0.0340542i 0.987663 0.156595i \(-0.0500518\pi\)
−0.981658 + 0.190649i \(0.938941\pi\)
\(284\) −11.7588 −0.697755
\(285\) 3.79086 + 2.15160i 0.224551 + 0.127450i
\(286\) −2.26352 −0.133845
\(287\) 0.377793 + 2.14257i 0.0223004 + 0.126472i
\(288\) −0.766044 + 0.642788i −0.0451396 + 0.0378766i
\(289\) −30.9183 + 11.2534i −1.81873 + 0.661962i
\(290\) 4.75877 + 1.73205i 0.279445 + 0.101710i
\(291\) −0.815207 0.684040i −0.0477883 0.0400992i
\(292\) 3.22668 5.58878i 0.188827 0.327058i
\(293\) −11.1295 19.2769i −0.650195 1.12617i −0.983075 0.183201i \(-0.941354\pi\)
0.332881 0.942969i \(-0.391979\pi\)
\(294\) 2.41740 13.7098i 0.140986 0.799571i
\(295\) −0.316552 + 1.79525i −0.0184303 + 0.104524i
\(296\) 3.83022 + 6.63414i 0.222627 + 0.385602i
\(297\) −0.173648 + 0.300767i −0.0100761 + 0.0174523i
\(298\) 9.41921 + 7.90366i 0.545640 + 0.457847i
\(299\) 36.1447 + 13.1556i 2.09030 + 0.760808i
\(300\) 0.939693 0.342020i 0.0542532 0.0197465i
\(301\) 25.0455 21.0157i 1.44360 1.21132i
\(302\) 1.22668 + 6.95686i 0.0705876 + 0.400322i
\(303\) −12.4534 −0.715427
\(304\) −4.29813 0.725293i −0.246515 0.0415984i
\(305\) −11.5175 −0.659492
\(306\) 1.22668 + 6.95686i 0.0701247 + 0.397697i
\(307\) −24.5672 + 20.6143i −1.40212 + 1.17652i −0.441975 + 0.897027i \(0.645722\pi\)
−0.960148 + 0.279493i \(0.909834\pi\)
\(308\) 1.49273 0.543308i 0.0850560 0.0309578i
\(309\) −1.21941 0.443828i −0.0693697 0.0252485i
\(310\) −1.81521 1.52314i −0.103097 0.0865085i
\(311\) 9.96316 17.2567i 0.564959 0.978538i −0.432094 0.901828i \(-0.642225\pi\)
0.997053 0.0767096i \(-0.0244414\pi\)
\(312\) 3.25877 + 5.64436i 0.184492 + 0.319549i
\(313\) 4.88207 27.6876i 0.275951 1.56500i −0.459973 0.887933i \(-0.652141\pi\)
0.735924 0.677064i \(-0.236748\pi\)
\(314\) −0.187319 + 1.06234i −0.0105710 + 0.0599512i
\(315\) 2.28699 + 3.96118i 0.128857 + 0.223187i
\(316\) −4.36959 + 7.56834i −0.245808 + 0.425753i
\(317\) −8.52687 7.15490i −0.478917 0.401859i 0.371118 0.928586i \(-0.378975\pi\)
−0.850035 + 0.526727i \(0.823419\pi\)
\(318\) −9.70961 3.53401i −0.544488 0.198177i
\(319\) −1.65270 + 0.601535i −0.0925336 + 0.0336795i
\(320\) −0.766044 + 0.642788i −0.0428232 + 0.0359329i
\(321\) −2.82295 16.0097i −0.157562 0.893576i
\(322\) −26.9941 −1.50432
\(323\) −19.6186 + 23.7331i −1.09161 + 1.32055i
\(324\) 1.00000 0.0555556
\(325\) −1.13176 6.41852i −0.0627787 0.356036i
\(326\) −9.75877 + 8.18858i −0.540488 + 0.453524i
\(327\) −1.53209 + 0.557635i −0.0847247 + 0.0308373i
\(328\) 0.446967 + 0.162683i 0.0246796 + 0.00898264i
\(329\) −20.4029 17.1200i −1.12485 0.943858i
\(330\) −0.173648 + 0.300767i −0.00955902 + 0.0165567i
\(331\) −8.04576 13.9357i −0.442235 0.765973i 0.555620 0.831436i \(-0.312481\pi\)
−0.997855 + 0.0654629i \(0.979148\pi\)
\(332\) 0.290859 1.64955i 0.0159630 0.0905306i
\(333\) 1.33022 7.54407i 0.0728957 0.413412i
\(334\) −0.0898700 0.155659i −0.00491747 0.00851731i
\(335\) 0.305407 0.528981i 0.0166862 0.0289013i
\(336\) −3.50387 2.94010i −0.191152 0.160395i
\(337\) −25.4739 9.27174i −1.38765 0.505064i −0.463163 0.886273i \(-0.653285\pi\)
−0.924489 + 0.381209i \(0.875508\pi\)
\(338\) 27.7006 10.0822i 1.50671 0.548399i
\(339\) −3.78106 + 3.17269i −0.205359 + 0.172317i
\(340\) 1.22668 + 6.95686i 0.0665262 + 0.377289i
\(341\) 0.822948 0.0445651
\(342\) 2.82635 + 3.31839i 0.152832 + 0.179438i
\(343\) 31.6578 1.70936
\(344\) −1.24123 7.03936i −0.0669226 0.379537i
\(345\) 4.52094 3.79352i 0.243399 0.204236i
\(346\) −12.8293 + 4.66950i −0.689710 + 0.251034i
\(347\) 11.0915 + 4.03698i 0.595424 + 0.216717i 0.622113 0.782927i \(-0.286274\pi\)
−0.0266894 + 0.999644i \(0.508497\pi\)
\(348\) 3.87939 + 3.25519i 0.207957 + 0.174497i
\(349\) 13.9094 24.0918i 0.744554 1.28961i −0.205849 0.978584i \(-0.565996\pi\)
0.950403 0.311021i \(-0.100671\pi\)
\(350\) 2.28699 + 3.96118i 0.122245 + 0.211734i
\(351\) 1.13176 6.41852i 0.0604088 0.342596i
\(352\) 0.0603074 0.342020i 0.00321439 0.0182297i
\(353\) 8.36959 + 14.4965i 0.445468 + 0.771573i 0.998085 0.0618623i \(-0.0197039\pi\)
−0.552617 + 0.833436i \(0.686371\pi\)
\(354\) −0.911474 + 1.57872i −0.0484443 + 0.0839080i
\(355\) 9.00774 + 7.55839i 0.478081 + 0.401158i
\(356\) 10.1839 + 3.70664i 0.539746 + 0.196452i
\(357\) −30.3628 + 11.0511i −1.60697 + 0.584889i
\(358\) 16.3858 13.7493i 0.866015 0.726673i
\(359\) −0.650015 3.68642i −0.0343065 0.194562i 0.962838 0.270080i \(-0.0870501\pi\)
−0.997144 + 0.0755180i \(0.975939\pi\)
\(360\) 1.00000 0.0527046
\(361\) −3.02347 + 18.7579i −0.159130 + 0.987258i
\(362\) −8.29591 −0.436023
\(363\) 1.88919 + 10.7141i 0.0991565 + 0.562345i
\(364\) −22.8366 + 19.1622i −1.19696 + 1.00437i
\(365\) −6.06418 + 2.20718i −0.317414 + 0.115529i
\(366\) −10.8229 3.93923i −0.565725 0.205907i
\(367\) −3.38460 2.84002i −0.176675 0.148248i 0.550162 0.835058i \(-0.314566\pi\)
−0.726837 + 0.686810i \(0.759010\pi\)
\(368\) −2.95084 + 5.11100i −0.153823 + 0.266429i
\(369\) −0.237826 0.411927i −0.0123807 0.0214440i
\(370\) 1.33022 7.54407i 0.0691550 0.392197i
\(371\) 8.20692 46.5438i 0.426082 2.41643i
\(372\) −1.18479 2.05212i −0.0614286 0.106398i
\(373\) −0.457234 + 0.791952i −0.0236747 + 0.0410057i −0.877620 0.479357i \(-0.840870\pi\)
0.853945 + 0.520363i \(0.174203\pi\)
\(374\) −1.87939 1.57699i −0.0971807 0.0815443i
\(375\) −0.939693 0.342020i −0.0485255 0.0176618i
\(376\) −5.47178 + 1.99157i −0.282186 + 0.102707i
\(377\) 25.2841 21.2158i 1.30219 1.09267i
\(378\) 0.794263 + 4.50449i 0.0408525 + 0.231686i
\(379\) −25.7101 −1.32064 −0.660319 0.750985i \(-0.729579\pi\)
−0.660319 + 0.750985i \(0.729579\pi\)
\(380\) 2.82635 + 3.31839i 0.144989 + 0.170230i
\(381\) 2.18210 0.111793
\(382\) 2.24897 + 12.7545i 0.115067 + 0.652579i
\(383\) 11.9244 10.0058i 0.609310 0.511272i −0.285113 0.958494i \(-0.592031\pi\)
0.894423 + 0.447222i \(0.147587\pi\)
\(384\) −0.939693 + 0.342020i −0.0479535 + 0.0174536i
\(385\) −1.49273 0.543308i −0.0760764 0.0276895i
\(386\) 9.88713 + 8.29628i 0.503241 + 0.422270i
\(387\) −3.57398 + 6.19031i −0.181676 + 0.314671i
\(388\) −0.532089 0.921605i −0.0270127 0.0467874i
\(389\) 1.13341 6.42788i 0.0574661 0.325906i −0.942499 0.334208i \(-0.891531\pi\)
0.999966 + 0.00830137i \(0.00264244\pi\)
\(390\) 1.13176 6.41852i 0.0573089 0.325015i
\(391\) 20.8452 + 36.1050i 1.05419 + 1.82591i
\(392\) 6.96064 12.0562i 0.351565 0.608929i
\(393\) 1.45677 + 1.22237i 0.0734842 + 0.0616605i
\(394\) −10.8166 3.93690i −0.544930 0.198338i
\(395\) 8.21213 2.98897i 0.413197 0.150392i
\(396\) −0.266044 + 0.223238i −0.0133692 + 0.0112181i
\(397\) −1.54101 8.73951i −0.0773412 0.438624i −0.998748 0.0500242i \(-0.984070\pi\)
0.921407 0.388599i \(-0.127041\pi\)
\(398\) 24.1830 1.21219
\(399\) −12.7028 + 15.3669i −0.635935 + 0.769310i
\(400\) 1.00000 0.0500000
\(401\) 6.64321 + 37.6755i 0.331746 + 1.88142i 0.457260 + 0.889333i \(0.348831\pi\)
−0.125514 + 0.992092i \(0.540058\pi\)
\(402\) 0.467911 0.392624i 0.0233373 0.0195823i
\(403\) −14.5125 + 5.28211i −0.722919 + 0.263121i
\(404\) −11.7023 4.25930i −0.582213 0.211908i
\(405\) −0.766044 0.642788i −0.0380651 0.0319404i
\(406\) −11.5817 + 20.0601i −0.574791 + 0.995567i
\(407\) 1.33022 + 2.30401i 0.0659367 + 0.114206i
\(408\) −1.22668 + 6.95686i −0.0607298 + 0.344416i
\(409\) 0.242574 1.37570i 0.0119945 0.0680242i −0.978223 0.207557i \(-0.933449\pi\)
0.990217 + 0.139532i \(0.0445600\pi\)
\(410\) −0.237826 0.411927i −0.0117454 0.0203436i
\(411\) −0.573978 + 0.994159i −0.0283122 + 0.0490382i
\(412\) −0.994070 0.834124i −0.0489743 0.0410943i
\(413\) −7.83527 2.85181i −0.385549 0.140328i
\(414\) 5.54576 2.01849i 0.272559 0.0992034i
\(415\) −1.28312 + 1.07666i −0.0629858 + 0.0528514i
\(416\) 1.13176 + 6.41852i 0.0554891 + 0.314694i
\(417\) 23.2276 1.13746
\(418\) −1.49273 0.251892i −0.0730116 0.0123204i
\(419\) −12.1361 −0.592887 −0.296444 0.955050i \(-0.595801\pi\)
−0.296444 + 0.955050i \(0.595801\pi\)
\(420\) 0.794263 + 4.50449i 0.0387561 + 0.219797i
\(421\) −0.0523182 + 0.0439002i −0.00254983 + 0.00213956i −0.644062 0.764974i \(-0.722752\pi\)
0.641512 + 0.767113i \(0.278308\pi\)
\(422\) −5.35369 + 1.94858i −0.260614 + 0.0948556i
\(423\) 5.47178 + 1.99157i 0.266047 + 0.0968332i
\(424\) −7.91534 6.64176i −0.384403 0.322553i
\(425\) 3.53209 6.11776i 0.171331 0.296755i
\(426\) 5.87939 + 10.1834i 0.284857 + 0.493387i
\(427\) 9.14796 51.8806i 0.442701 2.51068i
\(428\) 2.82295 16.0097i 0.136452 0.773860i
\(429\) 1.13176 + 1.96026i 0.0546418 + 0.0946425i
\(430\) −3.57398 + 6.19031i −0.172353 + 0.298523i
\(431\) −1.55438 1.30428i −0.0748717 0.0628248i 0.604584 0.796542i \(-0.293339\pi\)
−0.679455 + 0.733717i \(0.737784\pi\)
\(432\) 0.939693 + 0.342020i 0.0452110 + 0.0164555i
\(433\) 10.5963 3.85673i 0.509224 0.185342i −0.0746141 0.997212i \(-0.523772\pi\)
0.583838 + 0.811870i \(0.301550\pi\)
\(434\) 8.30272 6.96681i 0.398543 0.334418i
\(435\) −0.879385 4.98724i −0.0421633 0.239120i
\(436\) −1.63041 −0.0780827
\(437\) 22.3724 + 12.6980i 1.07022 + 0.607430i
\(438\) −6.45336 −0.308354
\(439\) 1.63041 + 9.24654i 0.0778155 + 0.441313i 0.998677 + 0.0514235i \(0.0163758\pi\)
−0.920861 + 0.389890i \(0.872513\pi\)
\(440\) −0.266044 + 0.223238i −0.0126832 + 0.0106424i
\(441\) −13.0817 + 4.76136i −0.622939 + 0.226731i
\(442\) 43.2645 + 15.7470i 2.05788 + 0.749007i
\(443\) −4.20439 3.52790i −0.199757 0.167616i 0.537422 0.843313i \(-0.319398\pi\)
−0.737179 + 0.675697i \(0.763843\pi\)
\(444\) 3.83022 6.63414i 0.181774 0.314842i
\(445\) −5.41875 9.38555i −0.256873 0.444918i
\(446\) 4.09034 23.1975i 0.193683 1.09843i
\(447\) 2.13516 12.1091i 0.100990 0.572741i
\(448\) −2.28699 3.96118i −0.108050 0.187148i
\(449\) 9.30200 16.1115i 0.438989 0.760351i −0.558623 0.829422i \(-0.688670\pi\)
0.997612 + 0.0690709i \(0.0220035\pi\)
\(450\) −0.766044 0.642788i −0.0361117 0.0303013i
\(451\) 0.155230 + 0.0564991i 0.00730949 + 0.00266044i
\(452\) −4.63816 + 1.68815i −0.218160 + 0.0794039i
\(453\) 5.41147 4.54077i 0.254253 0.213344i
\(454\) −4.33275 24.5722i −0.203346 1.15323i
\(455\) 29.8111 1.39757
\(456\) 1.52094 + 4.08494i 0.0712248 + 0.191295i
\(457\) 34.8931 1.63223 0.816115 0.577889i \(-0.196123\pi\)
0.816115 + 0.577889i \(0.196123\pi\)
\(458\) −0.711829 4.03698i −0.0332616 0.188636i
\(459\) 5.41147 4.54077i 0.252586 0.211945i
\(460\) 5.54576 2.01849i 0.258572 0.0941126i
\(461\) −31.4270 11.4385i −1.46370 0.532743i −0.517318 0.855794i \(-0.673069\pi\)
−0.946382 + 0.323051i \(0.895292\pi\)
\(462\) −1.21688 1.02108i −0.0566144 0.0475052i
\(463\) 3.52094 6.09845i 0.163632 0.283419i −0.772537 0.634970i \(-0.781012\pi\)
0.936169 + 0.351551i \(0.114346\pi\)
\(464\) 2.53209 + 4.38571i 0.117549 + 0.203601i
\(465\) −0.411474 + 2.33359i −0.0190817 + 0.108217i
\(466\) 2.69459 15.2818i 0.124825 0.707915i
\(467\) −13.4115 23.2294i −0.620609 1.07493i −0.989373 0.145403i \(-0.953552\pi\)
0.368763 0.929523i \(-0.379781\pi\)
\(468\) 3.25877 5.64436i 0.150637 0.260910i
\(469\) 2.14022 + 1.79585i 0.0988260 + 0.0829248i
\(470\) 5.47178 + 1.99157i 0.252394 + 0.0918641i
\(471\) 1.01367 0.368946i 0.0467075 0.0170001i
\(472\) −1.39646 + 1.17177i −0.0642773 + 0.0539350i
\(473\) −0.431074 2.44474i −0.0198208 0.112409i
\(474\) 8.73917 0.401403
\(475\) −0.0320889 4.35878i −0.00147234 0.199995i
\(476\) −32.3114 −1.48099
\(477\) 1.79426 + 10.1758i 0.0821537 + 0.465917i
\(478\) −3.32501 + 2.79001i −0.152082 + 0.127612i
\(479\) 16.9145 6.15636i 0.772842 0.281291i 0.0746572 0.997209i \(-0.476214\pi\)
0.698185 + 0.715918i \(0.253992\pi\)
\(480\) 0.939693 + 0.342020i 0.0428909 + 0.0156110i
\(481\) −38.2465 32.0926i −1.74389 1.46330i
\(482\) 5.86959 10.1664i 0.267352 0.463068i
\(483\) 13.4971 + 23.3776i 0.614138 + 1.06372i
\(484\) −1.88919 + 10.7141i −0.0858721 + 0.487005i
\(485\) −0.184793 + 1.04801i −0.00839100 + 0.0475877i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 6.37851 11.0479i 0.289038 0.500628i −0.684543 0.728973i \(-0.739998\pi\)
0.973580 + 0.228345i \(0.0733313\pi\)
\(488\) −8.82295 7.40333i −0.399396 0.335133i
\(489\) 11.9709 + 4.35705i 0.541343 + 0.197033i
\(490\) −13.0817 + 4.76136i −0.590972 + 0.215096i
\(491\) −16.9283 + 14.2045i −0.763963 + 0.641041i −0.939155 0.343493i \(-0.888390\pi\)
0.175192 + 0.984534i \(0.443945\pi\)
\(492\) −0.0825961 0.468426i −0.00372372 0.0211183i
\(493\) 35.7743 1.61119
\(494\) 27.9406 5.13905i 1.25711 0.231217i
\(495\) 0.347296 0.0156098
\(496\) −0.411474 2.33359i −0.0184757 0.104781i
\(497\) −41.2012 + 34.5719i −1.84813 + 1.55076i
\(498\) −1.57398 + 0.572881i −0.0705316 + 0.0256714i
\(499\) −36.3282 13.2224i −1.62627 0.591915i −0.641709 0.766948i \(-0.721774\pi\)
−0.984563 + 0.175033i \(0.943997\pi\)
\(500\) −0.766044 0.642788i −0.0342585 0.0287463i
\(501\) −0.0898700 + 0.155659i −0.00401510 + 0.00695435i
\(502\) −2.02435 3.50627i −0.0903511 0.156493i
\(503\) −4.58734 + 26.0161i −0.204540 + 1.16000i 0.693623 + 0.720338i \(0.256013\pi\)
−0.898163 + 0.439663i \(0.855098\pi\)
\(504\) −0.794263 + 4.50449i −0.0353793 + 0.200646i
\(505\) 6.22668 + 10.7849i 0.277084 + 0.479923i
\(506\) −1.02481 + 1.77503i −0.0455586 + 0.0789098i
\(507\) −22.5817 18.9483i −1.00289 0.841524i
\(508\) 2.05051 + 0.746324i 0.0909765 + 0.0331128i
\(509\) 17.5303 6.38052i 0.777018 0.282812i 0.0770896 0.997024i \(-0.475437\pi\)
0.699929 + 0.714213i \(0.253215\pi\)
\(510\) 5.41147 4.54077i 0.239624 0.201068i
\(511\) −5.12567 29.0691i −0.226746 1.28594i
\(512\) −1.00000 −0.0441942
\(513\) 1.46064 4.10689i 0.0644887 0.181324i
\(514\) 14.2567 0.628837
\(515\) 0.225337 + 1.27795i 0.00992955 + 0.0563133i
\(516\) −5.47565 + 4.59462i −0.241052 + 0.202267i
\(517\) −1.90033 + 0.691663i −0.0835764 + 0.0304193i
\(518\) 32.9256 + 11.9839i 1.44667 + 0.526544i
\(519\) 10.4586 + 8.77579i 0.459081 + 0.385214i
\(520\) 3.25877 5.64436i 0.142907 0.247521i
\(521\) 15.5817 + 26.9883i 0.682647 + 1.18238i 0.974170 + 0.225816i \(0.0725049\pi\)
−0.291522 + 0.956564i \(0.594162\pi\)
\(522\) 0.879385 4.98724i 0.0384896 0.218286i
\(523\) 2.83481 16.0770i 0.123957 0.702998i −0.857964 0.513710i \(-0.828271\pi\)
0.981922 0.189288i \(-0.0606180\pi\)
\(524\) 0.950837 + 1.64690i 0.0415375 + 0.0719451i
\(525\) 2.28699 3.96118i 0.0998124 0.172880i
\(526\) 11.0890 + 9.30477i 0.483503 + 0.405707i
\(527\) −15.7297 5.72513i −0.685195 0.249391i
\(528\) −0.326352 + 0.118782i −0.0142026 + 0.00516934i
\(529\) 9.06212 7.60402i 0.394005 0.330610i
\(530\) 1.79426 + 10.1758i 0.0779378 + 0.442007i
\(531\) 1.82295 0.0791092
\(532\) −17.1925 + 10.0956i −0.745391 + 0.437699i
\(533\) −3.10008 −0.134279
\(534\) −1.88191 10.6729i −0.0814383 0.461859i
\(535\) −12.4534 + 10.4496i −0.538406 + 0.451776i
\(536\) 0.573978 0.208911i 0.0247921 0.00902358i
\(537\) −20.1001 7.31585i −0.867385 0.315702i
\(538\) 2.27126 + 1.90581i 0.0979209 + 0.0821654i
\(539\) 2.41740 4.18707i 0.104125 0.180350i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) −4.79055 + 27.1686i −0.205962 + 1.16807i 0.689957 + 0.723851i \(0.257630\pi\)
−0.895919 + 0.444218i \(0.853482\pi\)
\(542\) −4.82026 + 27.3371i −0.207048 + 1.17423i
\(543\) 4.14796 + 7.18447i 0.178006 + 0.308315i
\(544\) −3.53209 + 6.11776i −0.151437 + 0.262297i
\(545\) 1.24897 + 1.04801i 0.0535000 + 0.0448918i
\(546\) 28.0133 + 10.1960i 1.19886 + 0.436348i
\(547\) 15.7151 5.71984i 0.671930 0.244563i 0.0165515 0.999863i \(-0.494731\pi\)
0.655379 + 0.755300i \(0.272509\pi\)
\(548\) −0.879385 + 0.737892i −0.0375655 + 0.0315212i
\(549\) 2.00000 + 11.3426i 0.0853579 + 0.484089i
\(550\) 0.347296 0.0148088
\(551\) 19.0351 11.1776i 0.810922 0.476180i
\(552\) 5.90167 0.251192
\(553\) 6.94120 + 39.3655i 0.295170 + 1.67399i
\(554\) −1.73190 + 1.45323i −0.0735812 + 0.0617420i
\(555\) −7.19846 + 2.62003i −0.305558 + 0.111214i
\(556\) 21.8268 + 7.94431i 0.925663 + 0.336914i
\(557\) 7.92720 + 6.65171i 0.335886 + 0.281842i 0.795093 0.606487i \(-0.207422\pi\)
−0.459207 + 0.888329i \(0.651866\pi\)
\(558\) −1.18479 + 2.05212i −0.0501563 + 0.0868732i
\(559\) 23.2935 + 40.3456i 0.985212 + 1.70644i
\(560\) −0.794263 + 4.50449i −0.0335637 + 0.190349i
\(561\) −0.426022 + 2.41609i −0.0179867 + 0.102007i
\(562\) −8.14677 14.1106i −0.343651 0.595221i
\(563\) 21.9094 37.9482i 0.923372 1.59933i 0.129213 0.991617i \(-0.458755\pi\)
0.794159 0.607710i \(-0.207912\pi\)
\(564\) 4.46064 + 3.74292i 0.187827 + 0.157605i
\(565\) 4.63816 + 1.68815i 0.195129 + 0.0710210i
\(566\) 0.546637 0.198960i 0.0229769 0.00836289i
\(567\) 3.50387 2.94010i 0.147149 0.123472i
\(568\) 2.04189 + 11.5801i 0.0856758 + 0.485891i
\(569\) −26.1070 −1.09446 −0.547231 0.836981i \(-0.684318\pi\)
−0.547231 + 0.836981i \(0.684318\pi\)
\(570\) 1.46064 4.10689i 0.0611794 0.172019i
\(571\) −39.3560 −1.64700 −0.823498 0.567319i \(-0.807981\pi\)
−0.823498 + 0.567319i \(0.807981\pi\)
\(572\) 0.393056 + 2.22913i 0.0164345 + 0.0932046i
\(573\) 9.92127 8.32494i 0.414467 0.347779i
\(574\) 2.04442 0.744106i 0.0853322 0.0310584i
\(575\) −5.54576 2.01849i −0.231274 0.0841769i
\(576\) 0.766044 + 0.642788i 0.0319185 + 0.0267828i
\(577\) 8.64590 14.9751i 0.359933 0.623423i −0.628016 0.778200i \(-0.716133\pi\)
0.987949 + 0.154778i \(0.0494661\pi\)
\(578\) 16.4513 + 28.4945i 0.684284 + 1.18521i
\(579\) 2.24123 12.7106i 0.0931423 0.528236i
\(580\) 0.879385 4.98724i 0.0365145 0.207084i
\(581\) −3.83069 6.63495i −0.158924 0.275264i
\(582\) −0.532089 + 0.921605i −0.0220558 + 0.0382018i
\(583\) −2.74897 2.30666i −0.113851 0.0955321i
\(584\) −6.06418 2.20718i −0.250937 0.0913338i
\(585\) −6.12449 + 2.22913i −0.253216 + 0.0921632i
\(586\) −17.0514 + 14.3079i −0.704389 + 0.591052i
\(587\) 0.681799 + 3.86668i 0.0281409 + 0.159595i 0.995640 0.0932798i \(-0.0297351\pi\)
−0.967499 + 0.252875i \(0.918624\pi\)
\(588\) −13.9213 −0.574104
\(589\) −10.1584 + 1.86841i −0.418569 + 0.0769864i
\(590\) 1.82295 0.0750496
\(591\) 1.99882 + 11.3359i 0.0822204 + 0.466295i
\(592\) 5.86824 4.92404i 0.241183 0.202377i
\(593\) −31.8307 + 11.5854i −1.30713 + 0.475756i −0.899312 0.437307i \(-0.855932\pi\)
−0.407818 + 0.913063i \(0.633710\pi\)
\(594\) 0.326352 + 0.118782i 0.0133904 + 0.00487370i
\(595\) 24.7520 + 20.7694i 1.01473 + 0.851461i
\(596\) 6.14796 10.6486i 0.251830 0.436183i
\(597\) −12.0915 20.9431i −0.494873 0.857145i
\(598\) 6.67927 37.8800i 0.273136 1.54903i
\(599\) −4.21894 + 23.9268i −0.172381 + 0.977623i 0.768742 + 0.639559i \(0.220883\pi\)
−0.941123 + 0.338064i \(0.890228\pi\)
\(600\) −0.500000 0.866025i −0.0204124 0.0353553i
\(601\) 18.6270 32.2629i 0.759812 1.31603i −0.183135 0.983088i \(-0.558624\pi\)
0.942946 0.332945i \(-0.108042\pi\)
\(602\) −25.0455 21.0157i −1.02078 0.856535i
\(603\) −0.573978 0.208911i −0.0233742 0.00850751i
\(604\) 6.63816 2.41609i 0.270103 0.0983094i
\(605\) 8.33409 6.99313i 0.338829 0.284311i
\(606\) 2.16250 + 12.2642i 0.0878457 + 0.498198i
\(607\) 17.4023 0.706338 0.353169 0.935560i \(-0.385104\pi\)
0.353169 + 0.935560i \(0.385104\pi\)
\(608\) 0.0320889 + 4.35878i 0.00130138 + 0.176772i
\(609\) 23.1634 0.938630
\(610\) 2.00000 + 11.3426i 0.0809776 + 0.459247i
\(611\) 29.0724 24.3946i 1.17614 0.986901i
\(612\) 6.63816 2.41609i 0.268332 0.0976647i
\(613\) 28.8371 + 10.4958i 1.16472 + 0.423923i 0.850781 0.525520i \(-0.176129\pi\)
0.313938 + 0.949443i \(0.398352\pi\)
\(614\) 24.5672 + 20.6143i 0.991450 + 0.831926i
\(615\) −0.237826 + 0.411927i −0.00959007 + 0.0166105i
\(616\) −0.794263 1.37570i −0.0320018 0.0554287i
\(617\) 2.71419 15.3930i 0.109269 0.619697i −0.880160 0.474678i \(-0.842565\pi\)
0.989429 0.145019i \(-0.0463243\pi\)
\(618\) −0.225337 + 1.27795i −0.00906440 + 0.0514068i
\(619\) 12.8319 + 22.2255i 0.515756 + 0.893316i 0.999833 + 0.0182906i \(0.00582239\pi\)
−0.484076 + 0.875026i \(0.660844\pi\)
\(620\) −1.18479 + 2.05212i −0.0475824 + 0.0824152i
\(621\) −4.52094 3.79352i −0.181419 0.152229i
\(622\) −18.7246 6.81521i −0.750789 0.273265i
\(623\) 46.5810 16.9541i 1.86623 0.679252i
\(624\) 4.99273 4.18939i 0.199869 0.167710i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) −28.1147 −1.12369
\(627\) 0.528218 + 1.41868i 0.0210950 + 0.0566568i
\(628\) 1.07873 0.0430458
\(629\) −9.39693 53.2926i −0.374680 2.12492i
\(630\) 3.50387 2.94010i 0.139598 0.117136i
\(631\) 5.92902 2.15799i 0.236030 0.0859080i −0.221297 0.975206i \(-0.571029\pi\)
0.457327 + 0.889298i \(0.348807\pi\)
\(632\) 8.21213 + 2.98897i 0.326661 + 0.118895i
\(633\) 4.36437 + 3.66214i 0.173468 + 0.145557i
\(634\) −5.56552 + 9.63977i −0.221035 + 0.382844i
\(635\) −1.09105 1.88976i −0.0432971 0.0749927i
\(636\) −1.79426 + 10.1758i −0.0711472 + 0.403496i
\(637\) −15.7555 + 89.3540i −0.624257 + 3.54034i
\(638\) 0.879385 + 1.52314i 0.0348152 + 0.0603017i
\(639\) 5.87939 10.1834i 0.232585 0.402849i
\(640\) 0.766044 + 0.642788i 0.0302806 + 0.0254084i
\(641\) 6.88831 + 2.50714i 0.272072 + 0.0990260i 0.474453 0.880281i \(-0.342646\pi\)
−0.202381 + 0.979307i \(0.564868\pi\)
\(642\) −15.2763 + 5.56012i −0.602908 + 0.219441i
\(643\) −2.45748 + 2.06207i −0.0969136 + 0.0813202i −0.689957 0.723850i \(-0.742371\pi\)
0.593044 + 0.805170i \(0.297926\pi\)
\(644\) 4.68748 + 26.5840i 0.184713 + 1.04756i
\(645\) 7.14796 0.281450
\(646\) 26.7793 + 15.1993i 1.05362 + 0.598008i
\(647\) −20.8767 −0.820748 −0.410374 0.911917i \(-0.634602\pi\)
−0.410374 + 0.911917i \(0.634602\pi\)
\(648\) −0.173648 0.984808i −0.00682154 0.0386869i
\(649\) −0.484985 + 0.406951i −0.0190373 + 0.0159742i
\(650\) −6.12449 + 2.22913i −0.240222 + 0.0874337i
\(651\) −10.1848 3.70696i −0.399173 0.145287i
\(652\) 9.75877 + 8.18858i 0.382183 + 0.320690i
\(653\) 18.8414 32.6342i 0.737320 1.27708i −0.216378 0.976310i \(-0.569425\pi\)
0.953698 0.300766i \(-0.0972422\pi\)
\(654\) 0.815207 + 1.41198i 0.0318771 + 0.0552128i
\(655\) 0.330222 1.87278i 0.0129028 0.0731757i
\(656\) 0.0825961 0.468426i 0.00322484 0.0182890i
\(657\) 3.22668 + 5.58878i 0.125885 + 0.218039i
\(658\) −13.3170 + 23.0658i −0.519151 + 0.899197i
\(659\) −4.39440 3.68734i −0.171182 0.143638i 0.553172 0.833067i \(-0.313417\pi\)
−0.724354 + 0.689429i \(0.757862\pi\)
\(660\) 0.326352 + 0.118782i 0.0127032 + 0.00462360i
\(661\) 10.6604 3.88008i 0.414643 0.150918i −0.126271 0.991996i \(-0.540301\pi\)
0.540914 + 0.841078i \(0.318079\pi\)
\(662\) −12.3268 + 10.3434i −0.479095 + 0.402009i
\(663\) −7.99495 45.3416i −0.310498 1.76092i
\(664\) −1.67499 −0.0650023
\(665\) 19.6596 + 3.31747i 0.762365 + 0.128646i
\(666\) −7.66044 −0.296836
\(667\) −5.18984 29.4331i −0.200952 1.13965i
\(668\) −0.137689 + 0.115535i −0.00532734 + 0.00447017i
\(669\) −22.1348 + 8.05639i −0.855779 + 0.311478i
\(670\) −0.573978 0.208911i −0.0221747 0.00807093i
\(671\) −3.06418 2.57115i −0.118291 0.0992582i
\(672\) −2.28699 + 3.96118i −0.0882225 + 0.152806i
\(673\) 11.7861 + 20.4141i 0.454321 + 0.786907i 0.998649 0.0519653i \(-0.0165485\pi\)
−0.544328 + 0.838873i \(0.683215\pi\)
\(674\) −4.70739 + 26.6969i −0.181322 + 1.02833i
\(675\) −0.173648 + 0.984808i −0.00668372 + 0.0379053i
\(676\) −14.7392 25.5290i −0.566891 0.981884i
\(677\) 2.35457 4.07824i 0.0904935 0.156739i −0.817225 0.576318i \(-0.804489\pi\)
0.907719 + 0.419579i \(0.137822\pi\)
\(678\) 3.78106 + 3.17269i 0.145211 + 0.121846i
\(679\) −4.57398 1.66479i −0.175533 0.0638888i
\(680\) 6.63816 2.41609i 0.254562 0.0926529i
\(681\) −19.1138 + 16.0384i −0.732443 + 0.614592i
\(682\) −0.142903 0.810446i −0.00547206 0.0310336i
\(683\) −6.18655 −0.236722 −0.118361 0.992971i \(-0.537764\pi\)
−0.118361 + 0.992971i \(0.537764\pi\)
\(684\) 2.77719 3.35965i 0.106188 0.128459i
\(685\) 1.14796 0.0438611
\(686\) −5.49731 31.1768i −0.209888 1.19034i
\(687\) −3.14022 + 2.63495i −0.119807 + 0.100530i
\(688\) −6.71688 + 2.44474i −0.256079 + 0.0932050i
\(689\) 63.2828 + 23.0330i 2.41088 + 0.877489i
\(690\) −4.52094 3.79352i −0.172109 0.144417i
\(691\) −11.8748 + 20.5678i −0.451739 + 0.782434i −0.998494 0.0548580i \(-0.982529\pi\)
0.546755 + 0.837292i \(0.315863\pi\)
\(692\) 6.82635 + 11.8236i 0.259499 + 0.449465i
\(693\) −0.275845 + 1.56439i −0.0104785 + 0.0594264i
\(694\) 2.04963 11.6240i 0.0778029 0.441242i
\(695\) −11.6138 20.1157i −0.440537 0.763032i
\(696\) 2.53209 4.38571i 0.0959786 0.166240i
\(697\) −2.57398 2.15982i −0.0974964 0.0818092i
\(698\) −26.1411 9.51460i −0.989457 0.360133i
\(699\) −14.5817 + 5.30731i −0.551531 + 0.200741i
\(700\) 3.50387 2.94010i 0.132434 0.111125i
\(701\) 5.60307 + 31.7766i 0.211625 + 1.20019i 0.886668 + 0.462407i \(0.153014\pi\)
−0.675043 + 0.737779i \(0.735875\pi\)
\(702\) −6.51754 −0.245989
\(703\) −21.6511 25.4204i −0.816587 0.958747i
\(704\) −0.347296 −0.0130892
\(705\) −1.01114 5.73448i −0.0380819 0.215973i
\(706\) 12.8229 10.7597i 0.482598 0.404948i
\(707\) −53.5262 + 19.4819i −2.01306 + 0.732694i
\(708\) 1.71301 + 0.623485i 0.0643789 + 0.0234320i
\(709\) −37.0428 31.0826i −1.39117 1.16733i −0.964863 0.262755i \(-0.915369\pi\)
−0.426310 0.904577i \(-0.640187\pi\)
\(710\) 5.87939 10.1834i 0.220649 0.382176i
\(711\) −4.36959 7.56834i −0.163872 0.283835i
\(712\) 1.88191 10.6729i 0.0705276 0.399982i
\(713\) −2.42839 + 13.7721i −0.0909438 + 0.515768i
\(714\) 16.1557 + 27.9825i 0.604612 + 1.04722i
\(715\) 1.13176 1.96026i 0.0423254 0.0733097i
\(716\) −16.3858 13.7493i −0.612365 0.513836i
\(717\) 4.07873 + 1.48453i 0.152323 + 0.0554410i
\(718\) −3.51754 + 1.28028i −0.131273 + 0.0477796i
\(719\) −3.04189 + 2.55245i −0.113443 + 0.0951902i −0.697745 0.716346i \(-0.745813\pi\)
0.584301 + 0.811537i \(0.301369\pi\)
\(720\) −0.173648 0.984808i −0.00647149 0.0367016i
\(721\) −5.93550 −0.221049
\(722\) 18.9979 0.279737i 0.707030 0.0104107i
\(723\) −11.7392 −0.436584
\(724\) 1.44057 + 8.16988i 0.0535384 + 0.303631i
\(725\) −3.87939 + 3.25519i −0.144077 + 0.120895i
\(726\) 10.2233 3.72097i 0.379421 0.138098i
\(727\) 22.5817 + 8.21907i 0.837510 + 0.304829i 0.724937 0.688815i \(-0.241869\pi\)
0.112572 + 0.993644i \(0.464091\pi\)
\(728\) 22.8366 + 19.1622i 0.846381 + 0.710198i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 3.22668 + 5.58878i 0.119425 + 0.206850i
\(731\) −8.76827 + 49.7273i −0.324306 + 1.83923i
\(732\) −2.00000 + 11.3426i −0.0739221 + 0.419233i
\(733\) −7.91235 13.7046i −0.292249 0.506191i 0.682092 0.731266i \(-0.261070\pi\)
−0.974341 + 0.225076i \(0.927737\pi\)
\(734\) −2.20914 + 3.82634i −0.0815409 + 0.141233i
\(735\) 10.6643 + 8.94842i 0.393359 + 0.330068i
\(736\) 5.54576 + 2.01849i 0.204419 + 0.0744026i
\(737\) 0.199340 0.0725540i 0.00734280 0.00267256i
\(738\) −0.364370 + 0.305743i −0.0134127 + 0.0112546i
\(739\) −6.64068 37.6612i −0.244281 1.38539i −0.822156 0.569263i \(-0.807229\pi\)
0.577874 0.816126i \(-0.303882\pi\)
\(740\) −7.66044 −0.281604
\(741\) −18.4209 21.6278i −0.676707 0.794516i
\(742\) −47.2618 −1.73503
\(743\) 8.71823 + 49.4435i 0.319841 + 1.81391i 0.543694 + 0.839284i \(0.317025\pi\)
−0.223853 + 0.974623i \(0.571864\pi\)
\(744\) −1.81521 + 1.52314i −0.0665487 + 0.0558410i
\(745\) −11.5544 + 4.20545i −0.423320 + 0.154076i
\(746\) 0.859318 + 0.312766i 0.0314619 + 0.0114512i
\(747\) 1.28312 + 1.07666i 0.0469469 + 0.0393931i
\(748\) −1.22668 + 2.12467i −0.0448519 + 0.0776858i
\(749\) −37.1789 64.3958i −1.35849 2.35297i
\(750\) −0.173648 + 0.984808i −0.00634073 + 0.0359601i
\(751\) 8.22163 46.6272i 0.300012 1.70145i −0.346092 0.938200i \(-0.612492\pi\)
0.646104 0.763249i \(-0.276397\pi\)
\(752\) 2.91147 + 5.04282i 0.106171 + 0.183893i
\(753\) −2.02435 + 3.50627i −0.0737713 + 0.127776i
\(754\) −25.2841 21.2158i −0.920791 0.772635i
\(755\) −6.63816 2.41609i −0.241587 0.0879306i
\(756\) 4.29813 1.56439i 0.156322 0.0568964i
\(757\) −7.16772 + 6.01443i −0.260515 + 0.218598i −0.763684 0.645590i \(-0.776612\pi\)
0.503169 + 0.864188i \(0.332167\pi\)
\(758\) 4.46451 + 25.3195i 0.162158 + 0.919645i
\(759\) 2.04963 0.0743969
\(760\) 2.77719 3.35965i 0.100739 0.121867i
\(761\) −24.4757 −0.887242 −0.443621 0.896215i \(-0.646306\pi\)
−0.443621 + 0.896215i \(0.646306\pi\)
\(762\) −0.378918 2.14895i −0.0137268 0.0778484i
\(763\) −5.71276 + 4.79358i −0.206816 + 0.173539i
\(764\) 12.1702 4.42961i 0.440304 0.160258i
\(765\) −6.63816 2.41609i −0.240003 0.0873540i
\(766\) −11.9244 10.0058i −0.430847 0.361524i
\(767\) 5.94057 10.2894i 0.214502 0.371528i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) −1.88784 + 10.7065i −0.0680773 + 0.386086i 0.931664 + 0.363322i \(0.118358\pi\)
−0.999741 + 0.0227634i \(0.992754\pi\)
\(770\) −0.275845 + 1.56439i −0.00994075 + 0.0563768i
\(771\) −7.12836 12.3467i −0.256721 0.444655i
\(772\) 6.45336 11.1776i 0.232262