Properties

Label 546.2.k.e.373.1
Level $546$
Weight $2$
Character 546.373
Analytic conductor $4.360$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.k (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(10\)
Relative dimension: \(5\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{10} - \cdots)\)
Defining polynomial: \(x^{10} - 2 x^{9} + 15 x^{8} + 14 x^{7} + 110 x^{6} + 36 x^{5} + 233 x^{4} + 164 x^{3} + 345 x^{2} + 76 x + 16\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 373.1
Root \(2.07085 + 3.58682i\) of defining polynomial
Character \(\chi\) \(=\) 546.373
Dual form 546.2.k.e.445.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} -1.00000 q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.07085 + 3.58682i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(2.11344 + 1.59166i) q^{7} -1.00000 q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} -1.00000 q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.07085 + 3.58682i) q^{5} +(-0.500000 - 0.866025i) q^{6} +(2.11344 + 1.59166i) q^{7} -1.00000 q^{8} +1.00000 q^{9} -4.14170 q^{10} +0.523095 q^{11} +(0.500000 - 0.866025i) q^{12} +(-3.28981 - 1.47551i) q^{13} +(-0.321703 + 2.62612i) q^{14} +(2.07085 - 3.58682i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.26155 - 2.18506i) q^{17} +(0.500000 + 0.866025i) q^{18} -5.69993 q^{19} +(-2.07085 - 3.58682i) q^{20} +(-2.11344 - 1.59166i) q^{21} +(0.261547 + 0.453013i) q^{22} +(3.69669 + 6.40285i) q^{23} +1.00000 q^{24} +(-6.07684 - 10.5254i) q^{25} +(-0.367074 - 3.58682i) q^{26} -1.00000 q^{27} +(-2.43514 + 1.03446i) q^{28} +(-1.54066 + 2.66851i) q^{29} +4.14170 q^{30} +(-2.17638 - 3.76959i) q^{31} +(0.500000 - 0.866025i) q^{32} -0.523095 q^{33} +2.52309 q^{34} +(-10.0856 + 4.28441i) q^{35} +(-0.500000 + 0.866025i) q^{36} +(2.83240 + 4.90586i) q^{37} +(-2.84997 - 4.93629i) q^{38} +(3.28981 + 1.47551i) q^{39} +(2.07085 - 3.58682i) q^{40} +(2.33240 - 4.03983i) q^{41} +(0.321703 - 2.62612i) q^{42} +(-4.81529 - 8.34033i) q^{43} +(-0.261547 + 0.453013i) q^{44} +(-2.07085 + 3.58682i) q^{45} +(-3.69669 + 6.40285i) q^{46} +(-5.58154 + 9.66752i) q^{47} +(0.500000 + 0.866025i) q^{48} +(1.93322 + 6.72775i) q^{49} +(6.07684 - 10.5254i) q^{50} +(-1.26155 + 2.18506i) q^{51} +(2.92274 - 2.11130i) q^{52} +(-0.00192073 - 0.00332680i) q^{53} +(-0.500000 - 0.866025i) q^{54} +(-1.08325 + 1.87624i) q^{55} +(-2.11344 - 1.59166i) q^{56} +5.69993 q^{57} -3.08133 q^{58} +(-4.05374 + 7.02129i) q^{59} +(2.07085 + 3.58682i) q^{60} +6.01198 q^{61} +(2.17638 - 3.76959i) q^{62} +(2.11344 + 1.59166i) q^{63} +1.00000 q^{64} +(12.1051 - 8.74439i) q^{65} +(-0.261547 - 0.453013i) q^{66} +3.23244 q^{67} +(1.26155 + 2.18506i) q^{68} +(-3.69669 - 6.40285i) q^{69} +(-8.75321 - 6.59219i) q^{70} +(3.98568 + 6.90340i) q^{71} -1.00000 q^{72} +(5.99080 + 10.3764i) q^{73} +(-2.83240 + 4.90586i) q^{74} +(6.07684 + 10.5254i) q^{75} +(2.84997 - 4.93629i) q^{76} +(1.10553 + 0.832590i) q^{77} +(0.367074 + 3.58682i) q^{78} +(1.15602 - 2.00229i) q^{79} +4.14170 q^{80} +1.00000 q^{81} +4.66479 q^{82} +3.08133 q^{83} +(2.43514 - 1.03446i) q^{84} +(5.22495 + 9.04988i) q^{85} +(4.81529 - 8.34033i) q^{86} +(1.54066 - 2.66851i) q^{87} -0.523095 q^{88} +(5.42599 + 9.39808i) q^{89} -4.14170 q^{90} +(-4.60428 - 8.35467i) q^{91} -7.39337 q^{92} +(2.17638 + 3.76959i) q^{93} -11.1631 q^{94} +(11.8037 - 20.4446i) q^{95} +(-0.500000 + 0.866025i) q^{96} +(-1.31892 - 2.28443i) q^{97} +(-4.85980 + 5.03809i) q^{98} +0.523095 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10q + 5q^{2} - 10q^{3} - 5q^{4} - 2q^{5} - 5q^{6} + 4q^{7} - 10q^{8} + 10q^{9} + O(q^{10}) \) \( 10q + 5q^{2} - 10q^{3} - 5q^{4} - 2q^{5} - 5q^{6} + 4q^{7} - 10q^{8} + 10q^{9} - 4q^{10} - 12q^{11} + 5q^{12} - 4q^{13} + 2q^{14} + 2q^{15} - 5q^{16} + 4q^{17} + 5q^{18} - 6q^{19} - 2q^{20} - 4q^{21} - 6q^{22} + 6q^{23} + 10q^{24} - q^{25} - 2q^{26} - 10q^{27} - 2q^{28} + 4q^{30} - 10q^{31} + 5q^{32} + 12q^{33} + 8q^{34} - 2q^{35} - 5q^{36} + q^{37} - 3q^{38} + 4q^{39} + 2q^{40} - 4q^{41} - 2q^{42} + 3q^{43} + 6q^{44} - 2q^{45} - 6q^{46} - 15q^{47} + 5q^{48} - 20q^{49} + q^{50} - 4q^{51} + 2q^{52} - 17q^{53} - 5q^{54} + 3q^{55} - 4q^{56} + 6q^{57} + 2q^{59} + 2q^{60} - 22q^{61} + 10q^{62} + 4q^{63} + 10q^{64} + 41q^{65} + 6q^{66} + 2q^{67} + 4q^{68} - 6q^{69} - 16q^{70} + 18q^{71} - 10q^{72} + 12q^{73} - q^{74} + q^{75} + 3q^{76} + 18q^{77} + 2q^{78} - 4q^{79} + 4q^{80} + 10q^{81} - 8q^{82} + 2q^{84} + q^{85} - 3q^{86} + 12q^{88} + 7q^{89} - 4q^{90} - 4q^{91} - 12q^{92} + 10q^{93} - 30q^{94} + 24q^{95} - 5q^{96} - 6q^{97} - 16q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) −1.00000 −0.577350
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.07085 + 3.58682i −0.926112 + 1.60407i −0.136350 + 0.990661i \(0.543537\pi\)
−0.789763 + 0.613413i \(0.789796\pi\)
\(6\) −0.500000 0.866025i −0.204124 0.353553i
\(7\) 2.11344 + 1.59166i 0.798803 + 0.601592i
\(8\) −1.00000 −0.353553
\(9\) 1.00000 0.333333
\(10\) −4.14170 −1.30972
\(11\) 0.523095 0.157719 0.0788595 0.996886i \(-0.474872\pi\)
0.0788595 + 0.996886i \(0.474872\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −3.28981 1.47551i −0.912430 0.409234i
\(14\) −0.321703 + 2.62612i −0.0859787 + 0.701860i
\(15\) 2.07085 3.58682i 0.534691 0.926112i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.26155 2.18506i 0.305970 0.529956i −0.671507 0.740998i \(-0.734353\pi\)
0.977477 + 0.211043i \(0.0676859\pi\)
\(18\) 0.500000 + 0.866025i 0.117851 + 0.204124i
\(19\) −5.69993 −1.30765 −0.653827 0.756644i \(-0.726838\pi\)
−0.653827 + 0.756644i \(0.726838\pi\)
\(20\) −2.07085 3.58682i −0.463056 0.802037i
\(21\) −2.11344 1.59166i −0.461189 0.347329i
\(22\) 0.261547 + 0.453013i 0.0557621 + 0.0965827i
\(23\) 3.69669 + 6.40285i 0.770812 + 1.33509i 0.937118 + 0.349012i \(0.113483\pi\)
−0.166306 + 0.986074i \(0.553184\pi\)
\(24\) 1.00000 0.204124
\(25\) −6.07684 10.5254i −1.21537 2.10508i
\(26\) −0.367074 3.58682i −0.0719891 0.703433i
\(27\) −1.00000 −0.192450
\(28\) −2.43514 + 1.03446i −0.460198 + 0.195494i
\(29\) −1.54066 + 2.66851i −0.286094 + 0.495530i −0.972874 0.231336i \(-0.925690\pi\)
0.686780 + 0.726866i \(0.259024\pi\)
\(30\) 4.14170 0.756167
\(31\) −2.17638 3.76959i −0.390889 0.677039i 0.601678 0.798739i \(-0.294499\pi\)
−0.992567 + 0.121699i \(0.961166\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −0.523095 −0.0910591
\(34\) 2.52309 0.432707
\(35\) −10.0856 + 4.28441i −1.70478 + 0.724198i
\(36\) −0.500000 + 0.866025i −0.0833333 + 0.144338i
\(37\) 2.83240 + 4.90586i 0.465643 + 0.806518i 0.999230 0.0392274i \(-0.0124897\pi\)
−0.533587 + 0.845745i \(0.679156\pi\)
\(38\) −2.84997 4.93629i −0.462326 0.800772i
\(39\) 3.28981 + 1.47551i 0.526791 + 0.236271i
\(40\) 2.07085 3.58682i 0.327430 0.567126i
\(41\) 2.33240 4.03983i 0.364259 0.630915i −0.624398 0.781107i \(-0.714656\pi\)
0.988657 + 0.150191i \(0.0479889\pi\)
\(42\) 0.321703 2.62612i 0.0496398 0.405219i
\(43\) −4.81529 8.34033i −0.734325 1.27189i −0.955019 0.296545i \(-0.904166\pi\)
0.220694 0.975343i \(-0.429168\pi\)
\(44\) −0.261547 + 0.453013i −0.0394297 + 0.0682943i
\(45\) −2.07085 + 3.58682i −0.308704 + 0.534691i
\(46\) −3.69669 + 6.40285i −0.545047 + 0.944048i
\(47\) −5.58154 + 9.66752i −0.814152 + 1.41015i 0.0957835 + 0.995402i \(0.469464\pi\)
−0.909935 + 0.414750i \(0.863869\pi\)
\(48\) 0.500000 + 0.866025i 0.0721688 + 0.125000i
\(49\) 1.93322 + 6.72775i 0.276174 + 0.961108i
\(50\) 6.07684 10.5254i 0.859395 1.48852i
\(51\) −1.26155 + 2.18506i −0.176652 + 0.305970i
\(52\) 2.92274 2.11130i 0.405311 0.292785i
\(53\) −0.00192073 0.00332680i −0.000263832 0.000456971i 0.865893 0.500228i \(-0.166751\pi\)
−0.866157 + 0.499771i \(0.833417\pi\)
\(54\) −0.500000 0.866025i −0.0680414 0.117851i
\(55\) −1.08325 + 1.87624i −0.146065 + 0.252993i
\(56\) −2.11344 1.59166i −0.282420 0.212695i
\(57\) 5.69993 0.754975
\(58\) −3.08133 −0.404598
\(59\) −4.05374 + 7.02129i −0.527752 + 0.914094i 0.471724 + 0.881746i \(0.343632\pi\)
−0.999477 + 0.0323479i \(0.989702\pi\)
\(60\) 2.07085 + 3.58682i 0.267346 + 0.463056i
\(61\) 6.01198 0.769755 0.384877 0.922968i \(-0.374244\pi\)
0.384877 + 0.922968i \(0.374244\pi\)
\(62\) 2.17638 3.76959i 0.276400 0.478739i
\(63\) 2.11344 + 1.59166i 0.266268 + 0.200531i
\(64\) 1.00000 0.125000
\(65\) 12.1051 8.74439i 1.50145 1.08461i
\(66\) −0.261547 0.453013i −0.0321942 0.0557621i
\(67\) 3.23244 0.394906 0.197453 0.980312i \(-0.436733\pi\)
0.197453 + 0.980312i \(0.436733\pi\)
\(68\) 1.26155 + 2.18506i 0.152985 + 0.264978i
\(69\) −3.69669 6.40285i −0.445029 0.770812i
\(70\) −8.75321 6.59219i −1.04621 0.787917i
\(71\) 3.98568 + 6.90340i 0.473013 + 0.819283i 0.999523 0.0308864i \(-0.00983301\pi\)
−0.526510 + 0.850169i \(0.676500\pi\)
\(72\) −1.00000 −0.117851
\(73\) 5.99080 + 10.3764i 0.701170 + 1.21446i 0.968056 + 0.250734i \(0.0806721\pi\)
−0.266886 + 0.963728i \(0.585995\pi\)
\(74\) −2.83240 + 4.90586i −0.329259 + 0.570294i
\(75\) 6.07684 + 10.5254i 0.701693 + 1.21537i
\(76\) 2.84997 4.93629i 0.326914 0.566231i
\(77\) 1.10553 + 0.832590i 0.125986 + 0.0948825i
\(78\) 0.367074 + 3.58682i 0.0415629 + 0.406127i
\(79\) 1.15602 2.00229i 0.130063 0.225275i −0.793638 0.608390i \(-0.791816\pi\)
0.923700 + 0.383115i \(0.125149\pi\)
\(80\) 4.14170 0.463056
\(81\) 1.00000 0.111111
\(82\) 4.66479 0.515140
\(83\) 3.08133 0.338220 0.169110 0.985597i \(-0.445911\pi\)
0.169110 + 0.985597i \(0.445911\pi\)
\(84\) 2.43514 1.03446i 0.265695 0.112869i
\(85\) 5.22495 + 9.04988i 0.566725 + 0.981597i
\(86\) 4.81529 8.34033i 0.519246 0.899361i
\(87\) 1.54066 2.66851i 0.165177 0.286094i
\(88\) −0.523095 −0.0557621
\(89\) 5.42599 + 9.39808i 0.575153 + 0.996195i 0.996025 + 0.0890747i \(0.0283910\pi\)
−0.420871 + 0.907120i \(0.638276\pi\)
\(90\) −4.14170 −0.436573
\(91\) −4.60428 8.35467i −0.482660 0.875808i
\(92\) −7.39337 −0.770812
\(93\) 2.17638 + 3.76959i 0.225680 + 0.390889i
\(94\) −11.1631 −1.15138
\(95\) 11.8037 20.4446i 1.21103 2.09757i
\(96\) −0.500000 + 0.866025i −0.0510310 + 0.0883883i
\(97\) −1.31892 2.28443i −0.133916 0.231949i 0.791267 0.611471i \(-0.209422\pi\)
−0.925183 + 0.379522i \(0.876089\pi\)
\(98\) −4.85980 + 5.03809i −0.490914 + 0.508924i
\(99\) 0.523095 0.0525730
\(100\) 12.1537 1.21537
\(101\) −12.1845 −1.21240 −0.606200 0.795312i \(-0.707307\pi\)
−0.606200 + 0.795312i \(0.707307\pi\)
\(102\) −2.52309 −0.249824
\(103\) 6.81529 11.8044i 0.671531 1.16313i −0.305940 0.952051i \(-0.598971\pi\)
0.977470 0.211074i \(-0.0676961\pi\)
\(104\) 3.28981 + 1.47551i 0.322593 + 0.144686i
\(105\) 10.0856 4.28441i 0.984255 0.418116i
\(106\) 0.00192073 0.00332680i 0.000186558 0.000323127i
\(107\) −2.69861 4.67412i −0.260884 0.451865i 0.705593 0.708617i \(-0.250681\pi\)
−0.966477 + 0.256753i \(0.917347\pi\)
\(108\) 0.500000 0.866025i 0.0481125 0.0833333i
\(109\) 5.58133 + 9.66715i 0.534594 + 0.925945i 0.999183 + 0.0404180i \(0.0128689\pi\)
−0.464588 + 0.885527i \(0.653798\pi\)
\(110\) −2.16650 −0.206568
\(111\) −2.83240 4.90586i −0.268839 0.465643i
\(112\) 0.321703 2.62612i 0.0303981 0.248145i
\(113\) 2.03617 + 3.52676i 0.191547 + 0.331769i 0.945763 0.324857i \(-0.105316\pi\)
−0.754216 + 0.656626i \(0.771983\pi\)
\(114\) 2.84997 + 4.93629i 0.266924 + 0.462326i
\(115\) −30.6211 −2.85543
\(116\) −1.54066 2.66851i −0.143047 0.247765i
\(117\) −3.28981 1.47551i −0.304143 0.136411i
\(118\) −8.10749 −0.746355
\(119\) 6.14408 2.61003i 0.563227 0.239261i
\(120\) −2.07085 + 3.58682i −0.189042 + 0.327430i
\(121\) −10.7264 −0.975125
\(122\) 3.00599 + 5.20652i 0.272149 + 0.471377i
\(123\) −2.33240 + 4.03983i −0.210305 + 0.364259i
\(124\) 4.35275 0.390889
\(125\) 29.6284 2.65004
\(126\) −0.321703 + 2.62612i −0.0286596 + 0.233953i
\(127\) −3.83432 + 6.64123i −0.340241 + 0.589314i −0.984477 0.175512i \(-0.943842\pi\)
0.644237 + 0.764826i \(0.277175\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 4.81529 + 8.34033i 0.423963 + 0.734325i
\(130\) 13.6254 + 6.11113i 1.19503 + 0.535982i
\(131\) −5.62392 + 9.74091i −0.491364 + 0.851067i −0.999951 0.00994375i \(-0.996835\pi\)
0.508587 + 0.861011i \(0.330168\pi\)
\(132\) 0.261547 0.453013i 0.0227648 0.0394297i
\(133\) −12.0464 9.07238i −1.04456 0.786675i
\(134\) 1.61622 + 2.79938i 0.139620 + 0.241829i
\(135\) 2.07085 3.58682i 0.178230 0.308704i
\(136\) −1.26155 + 2.18506i −0.108177 + 0.187368i
\(137\) 3.51116 6.08150i 0.299978 0.519578i −0.676152 0.736762i \(-0.736354\pi\)
0.976131 + 0.217184i \(0.0696872\pi\)
\(138\) 3.69669 6.40285i 0.314683 0.545047i
\(139\) 6.59202 + 11.4177i 0.559128 + 0.968438i 0.997569 + 0.0696786i \(0.0221974\pi\)
−0.438441 + 0.898760i \(0.644469\pi\)
\(140\) 1.33240 10.8766i 0.112608 0.919241i
\(141\) 5.58154 9.66752i 0.470051 0.814152i
\(142\) −3.98568 + 6.90340i −0.334471 + 0.579320i
\(143\) −1.72088 0.771833i −0.143907 0.0645439i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −6.38097 11.0522i −0.529911 0.917832i
\(146\) −5.99080 + 10.3764i −0.495802 + 0.858755i
\(147\) −1.93322 6.72775i −0.159449 0.554896i
\(148\) −5.66479 −0.465643
\(149\) 18.1322 1.48545 0.742726 0.669596i \(-0.233533\pi\)
0.742726 + 0.669596i \(0.233533\pi\)
\(150\) −6.07684 + 10.5254i −0.496172 + 0.859395i
\(151\) −2.53343 4.38804i −0.206168 0.357093i 0.744336 0.667805i \(-0.232766\pi\)
−0.950504 + 0.310712i \(0.899433\pi\)
\(152\) 5.69993 0.462326
\(153\) 1.26155 2.18506i 0.101990 0.176652i
\(154\) −0.168281 + 1.37371i −0.0135605 + 0.110697i
\(155\) 18.0278 1.44803
\(156\) −2.92274 + 2.11130i −0.234006 + 0.169040i
\(157\) 5.80481 + 10.0542i 0.463274 + 0.802415i 0.999122 0.0419001i \(-0.0133411\pi\)
−0.535847 + 0.844315i \(0.680008\pi\)
\(158\) 2.31204 0.183936
\(159\) 0.00192073 + 0.00332680i 0.000152324 + 0.000263832i
\(160\) 2.07085 + 3.58682i 0.163715 + 0.283563i
\(161\) −2.37847 + 19.4159i −0.187450 + 1.53019i
\(162\) 0.500000 + 0.866025i 0.0392837 + 0.0680414i
\(163\) −19.9927 −1.56595 −0.782976 0.622051i \(-0.786299\pi\)
−0.782976 + 0.622051i \(0.786299\pi\)
\(164\) 2.33240 + 4.03983i 0.182130 + 0.315458i
\(165\) 1.08325 1.87624i 0.0843309 0.146065i
\(166\) 1.54066 + 2.66851i 0.119579 + 0.207117i
\(167\) −8.82851 + 15.2914i −0.683171 + 1.18329i 0.290837 + 0.956772i \(0.406066\pi\)
−0.974008 + 0.226514i \(0.927267\pi\)
\(168\) 2.11344 + 1.59166i 0.163055 + 0.122799i
\(169\) 8.64572 + 9.70832i 0.665055 + 0.746794i
\(170\) −5.22495 + 9.04988i −0.400735 + 0.694094i
\(171\) −5.69993 −0.435885
\(172\) 9.63058 0.734325
\(173\) −3.86985 −0.294219 −0.147110 0.989120i \(-0.546997\pi\)
−0.147110 + 0.989120i \(0.546997\pi\)
\(174\) 3.08133 0.233595
\(175\) 3.90987 31.9170i 0.295559 2.41270i
\(176\) −0.261547 0.453013i −0.0197149 0.0341472i
\(177\) 4.05374 7.02129i 0.304698 0.527752i
\(178\) −5.42599 + 9.39808i −0.406695 + 0.704416i
\(179\) −3.51968 −0.263073 −0.131537 0.991311i \(-0.541991\pi\)
−0.131537 + 0.991311i \(0.541991\pi\)
\(180\) −2.07085 3.58682i −0.154352 0.267346i
\(181\) 8.47129 0.629666 0.314833 0.949147i \(-0.398052\pi\)
0.314833 + 0.949147i \(0.398052\pi\)
\(182\) 4.93322 8.16476i 0.365674 0.605213i
\(183\) −6.01198 −0.444418
\(184\) −3.69669 6.40285i −0.272523 0.472024i
\(185\) −23.4619 −1.72495
\(186\) −2.17638 + 3.76959i −0.159580 + 0.276400i
\(187\) 0.659909 1.14300i 0.0482573 0.0835841i
\(188\) −5.58154 9.66752i −0.407076 0.705076i
\(189\) −2.11344 1.59166i −0.153730 0.115776i
\(190\) 23.6074 1.71266
\(191\) −21.9508 −1.58830 −0.794151 0.607721i \(-0.792084\pi\)
−0.794151 + 0.607721i \(0.792084\pi\)
\(192\) −1.00000 −0.0721688
\(193\) 12.8592 0.925624 0.462812 0.886456i \(-0.346840\pi\)
0.462812 + 0.886456i \(0.346840\pi\)
\(194\) 1.31892 2.28443i 0.0946928 0.164013i
\(195\) −12.1051 + 8.74439i −0.866864 + 0.626198i
\(196\) −6.79301 1.68966i −0.485215 0.120690i
\(197\) −5.27054 + 9.12883i −0.375510 + 0.650403i −0.990403 0.138208i \(-0.955866\pi\)
0.614893 + 0.788610i \(0.289199\pi\)
\(198\) 0.261547 + 0.453013i 0.0185874 + 0.0321942i
\(199\) −6.55182 + 11.3481i −0.464446 + 0.804445i −0.999176 0.0405782i \(-0.987080\pi\)
0.534730 + 0.845023i \(0.320413\pi\)
\(200\) 6.07684 + 10.5254i 0.429697 + 0.744258i
\(201\) −3.23244 −0.227999
\(202\) −6.09224 10.5521i −0.428648 0.742441i
\(203\) −7.50346 + 3.18750i −0.526640 + 0.223719i
\(204\) −1.26155 2.18506i −0.0883260 0.152985i
\(205\) 9.66009 + 16.7318i 0.674690 + 1.16860i
\(206\) 13.6306 0.949688
\(207\) 3.69669 + 6.40285i 0.256937 + 0.445029i
\(208\) 0.367074 + 3.58682i 0.0254520 + 0.248701i
\(209\) −2.98160 −0.206242
\(210\) 8.75321 + 6.59219i 0.604029 + 0.454904i
\(211\) −0.979430 + 1.69642i −0.0674267 + 0.116787i −0.897768 0.440469i \(-0.854812\pi\)
0.830341 + 0.557255i \(0.188146\pi\)
\(212\) 0.00384145 0.000263832
\(213\) −3.98568 6.90340i −0.273094 0.473013i
\(214\) 2.69861 4.67412i 0.184473 0.319516i
\(215\) 39.8870 2.72027
\(216\) 1.00000 0.0680414
\(217\) 1.40029 11.4309i 0.0950581 0.775977i
\(218\) −5.58133 + 9.66715i −0.378015 + 0.654742i
\(219\) −5.99080 10.3764i −0.404821 0.701170i
\(220\) −1.08325 1.87624i −0.0730327 0.126496i
\(221\) −7.37434 + 5.32702i −0.496052 + 0.358334i
\(222\) 2.83240 4.90586i 0.190098 0.329259i
\(223\) 6.26821 10.8569i 0.419751 0.727029i −0.576164 0.817334i \(-0.695451\pi\)
0.995914 + 0.0903050i \(0.0287842\pi\)
\(224\) 2.43514 1.03446i 0.162705 0.0691176i
\(225\) −6.07684 10.5254i −0.405123 0.701693i
\(226\) −2.03617 + 3.52676i −0.135444 + 0.234596i
\(227\) 10.8649 18.8186i 0.721132 1.24904i −0.239415 0.970917i \(-0.576956\pi\)
0.960547 0.278119i \(-0.0897110\pi\)
\(228\) −2.84997 + 4.93629i −0.188744 + 0.326914i
\(229\) −7.77570 + 13.4679i −0.513833 + 0.889985i 0.486038 + 0.873938i \(0.338442\pi\)
−0.999871 + 0.0160474i \(0.994892\pi\)
\(230\) −15.3106 26.5187i −1.00955 1.74859i
\(231\) −1.10553 0.832590i −0.0727383 0.0547804i
\(232\) 1.54066 2.66851i 0.101150 0.175196i
\(233\) 10.3320 17.8955i 0.676870 1.17237i −0.299048 0.954238i \(-0.596669\pi\)
0.975919 0.218135i \(-0.0699974\pi\)
\(234\) −0.367074 3.58682i −0.0239964 0.234478i
\(235\) −23.1171 40.0400i −1.50799 2.61192i
\(236\) −4.05374 7.02129i −0.263876 0.457047i
\(237\) −1.15602 + 2.00229i −0.0750916 + 0.130063i
\(238\) 5.33240 + 4.01592i 0.345648 + 0.260313i
\(239\) −30.0971 −1.94682 −0.973410 0.229071i \(-0.926431\pi\)
−0.973410 + 0.229071i \(0.926431\pi\)
\(240\) −4.14170 −0.267346
\(241\) −1.02609 + 1.77725i −0.0660965 + 0.114483i −0.897180 0.441665i \(-0.854388\pi\)
0.831083 + 0.556148i \(0.187721\pi\)
\(242\) −5.36319 9.28931i −0.344759 0.597140i
\(243\) −1.00000 −0.0641500
\(244\) −3.00599 + 5.20652i −0.192439 + 0.333314i
\(245\) −28.1346 6.99807i −1.79746 0.447090i
\(246\) −4.66479 −0.297416
\(247\) 18.7517 + 8.41033i 1.19314 + 0.535136i
\(248\) 2.17638 + 3.76959i 0.138200 + 0.239369i
\(249\) −3.08133 −0.195271
\(250\) 14.8142 + 25.6589i 0.936932 + 1.62281i
\(251\) −8.23457 14.2627i −0.519761 0.900253i −0.999736 0.0229705i \(-0.992688\pi\)
0.479975 0.877282i \(-0.340646\pi\)
\(252\) −2.43514 + 1.03446i −0.153399 + 0.0651647i
\(253\) 1.93372 + 3.34929i 0.121572 + 0.210568i
\(254\) −7.66864 −0.481173
\(255\) −5.22495 9.04988i −0.327199 0.566725i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.93711 10.2834i −0.370346 0.641459i 0.619272 0.785176i \(-0.287428\pi\)
−0.989619 + 0.143717i \(0.954094\pi\)
\(258\) −4.81529 + 8.34033i −0.299787 + 0.519246i
\(259\) −1.82238 + 14.8764i −0.113237 + 0.924376i
\(260\) 1.52031 + 14.8555i 0.0942856 + 0.921300i
\(261\) −1.54066 + 2.66851i −0.0953648 + 0.165177i
\(262\) −11.2478 −0.694893
\(263\) 25.0317 1.54352 0.771760 0.635914i \(-0.219377\pi\)
0.771760 + 0.635914i \(0.219377\pi\)
\(264\) 0.523095 0.0321942
\(265\) 0.0159101 0.000977353
\(266\) 1.83369 14.9687i 0.112430 0.917791i
\(267\) −5.42599 9.39808i −0.332065 0.575153i
\(268\) −1.61622 + 2.79938i −0.0987264 + 0.170999i
\(269\) 7.76501 13.4494i 0.473441 0.820024i −0.526097 0.850425i \(-0.676345\pi\)
0.999538 + 0.0304008i \(0.00967836\pi\)
\(270\) 4.14170 0.252056
\(271\) 2.63845 + 4.56993i 0.160274 + 0.277604i 0.934967 0.354734i \(-0.115429\pi\)
−0.774693 + 0.632338i \(0.782095\pi\)
\(272\) −2.52309 −0.152985
\(273\) 4.60428 + 8.35467i 0.278664 + 0.505648i
\(274\) 7.02232 0.424234
\(275\) −3.17876 5.50578i −0.191686 0.332011i
\(276\) 7.39337 0.445029
\(277\) 5.56594 9.64049i 0.334425 0.579241i −0.648949 0.760832i \(-0.724791\pi\)
0.983374 + 0.181591i \(0.0581246\pi\)
\(278\) −6.59202 + 11.4177i −0.395363 + 0.684789i
\(279\) −2.17638 3.76959i −0.130296 0.225680i
\(280\) 10.0856 4.28441i 0.602731 0.256043i
\(281\) 19.3908 1.15676 0.578379 0.815768i \(-0.303686\pi\)
0.578379 + 0.815768i \(0.303686\pi\)
\(282\) 11.1631 0.664752
\(283\) 26.0359 1.54768 0.773838 0.633384i \(-0.218335\pi\)
0.773838 + 0.633384i \(0.218335\pi\)
\(284\) −7.97136 −0.473013
\(285\) −11.8037 + 20.4446i −0.699191 + 1.21103i
\(286\) −0.192014 1.87624i −0.0113540 0.110945i
\(287\) 11.3594 4.82553i 0.670525 0.284842i
\(288\) 0.500000 0.866025i 0.0294628 0.0510310i
\(289\) 5.31700 + 9.20931i 0.312765 + 0.541724i
\(290\) 6.38097 11.0522i 0.374703 0.649005i
\(291\) 1.31892 + 2.28443i 0.0773163 + 0.133916i
\(292\) −11.9816 −0.701170
\(293\) −6.46216 11.1928i −0.377523 0.653890i 0.613178 0.789945i \(-0.289891\pi\)
−0.990701 + 0.136055i \(0.956558\pi\)
\(294\) 4.85980 5.03809i 0.283429 0.293828i
\(295\) −16.7894 29.0801i −0.977516 1.69311i
\(296\) −2.83240 4.90586i −0.164630 0.285147i
\(297\) −0.523095 −0.0303530
\(298\) 9.06612 + 15.7030i 0.525186 + 0.909649i
\(299\) −2.71391 26.5187i −0.156950 1.53361i
\(300\) −12.1537 −0.701693
\(301\) 3.09819 25.2911i 0.178577 1.45775i
\(302\) 2.53343 4.38804i 0.145783 0.252503i
\(303\) 12.1845 0.699980
\(304\) 2.84997 + 4.93629i 0.163457 + 0.283116i
\(305\) −12.4499 + 21.5639i −0.712879 + 1.23474i
\(306\) 2.52309 0.144236
\(307\) 20.0771 1.14586 0.572931 0.819604i \(-0.305806\pi\)
0.572931 + 0.819604i \(0.305806\pi\)
\(308\) −1.27381 + 0.541119i −0.0725819 + 0.0308331i
\(309\) −6.81529 + 11.8044i −0.387708 + 0.671531i
\(310\) 9.01390 + 15.6125i 0.511955 + 0.886732i
\(311\) 10.4837 + 18.1583i 0.594475 + 1.02966i 0.993621 + 0.112774i \(0.0359736\pi\)
−0.399145 + 0.916888i \(0.630693\pi\)
\(312\) −3.28981 1.47551i −0.186249 0.0835345i
\(313\) 9.55610 16.5517i 0.540143 0.935555i −0.458752 0.888564i \(-0.651703\pi\)
0.998895 0.0469909i \(-0.0149632\pi\)
\(314\) −5.80481 + 10.0542i −0.327584 + 0.567393i
\(315\) −10.0856 + 4.28441i −0.568260 + 0.241399i
\(316\) 1.15602 + 2.00229i 0.0650313 + 0.112637i
\(317\) 9.13122 15.8157i 0.512860 0.888300i −0.487028 0.873386i \(-0.661919\pi\)
0.999889 0.0149141i \(-0.00474749\pi\)
\(318\) −0.00192073 + 0.00332680i −0.000107709 + 0.000186558i
\(319\) −0.805913 + 1.39588i −0.0451225 + 0.0781544i
\(320\) −2.07085 + 3.58682i −0.115764 + 0.200509i
\(321\) 2.69861 + 4.67412i 0.150622 + 0.260884i
\(322\) −18.0039 + 7.64813i −1.00332 + 0.426213i
\(323\) −7.19074 + 12.4547i −0.400103 + 0.692999i
\(324\) −0.500000 + 0.866025i −0.0277778 + 0.0481125i
\(325\) 4.46130 + 43.5930i 0.247468 + 2.41811i
\(326\) −9.99637 17.3142i −0.553648 0.958946i
\(327\) −5.58133 9.66715i −0.308648 0.534594i
\(328\) −2.33240 + 4.03983i −0.128785 + 0.223062i
\(329\) −27.1837 + 11.5477i −1.49868 + 0.636647i
\(330\) 2.16650 0.119262
\(331\) −10.2440 −0.563061 −0.281530 0.959552i \(-0.590842\pi\)
−0.281530 + 0.959552i \(0.590842\pi\)
\(332\) −1.54066 + 2.66851i −0.0845550 + 0.146453i
\(333\) 2.83240 + 4.90586i 0.155214 + 0.268839i
\(334\) −17.6570 −0.966149
\(335\) −6.69390 + 11.5942i −0.365727 + 0.633457i
\(336\) −0.321703 + 2.62612i −0.0175503 + 0.143267i
\(337\) −32.6266 −1.77728 −0.888642 0.458601i \(-0.848351\pi\)
−0.888642 + 0.458601i \(0.848351\pi\)
\(338\) −4.08479 + 12.3416i −0.222183 + 0.671293i
\(339\) −2.03617 3.52676i −0.110590 0.191547i
\(340\) −10.4499 −0.566725
\(341\) −1.13845 1.97185i −0.0616506 0.106782i
\(342\) −2.84997 4.93629i −0.154109 0.266924i
\(343\) −6.62259 + 17.2957i −0.357586 + 0.933880i
\(344\) 4.81529 + 8.34033i 0.259623 + 0.449680i
\(345\) 30.6211 1.64859
\(346\) −1.93492 3.35139i −0.104022 0.180172i
\(347\) −4.21596 + 7.30226i −0.226325 + 0.392006i −0.956716 0.291023i \(-0.906004\pi\)
0.730391 + 0.683029i \(0.239338\pi\)
\(348\) 1.54066 + 2.66851i 0.0825883 + 0.143047i
\(349\) 18.3077 31.7099i 0.979990 1.69739i 0.317617 0.948219i \(-0.397117\pi\)
0.662373 0.749174i \(-0.269549\pi\)
\(350\) 29.5959 12.5725i 1.58197 0.672026i
\(351\) 3.28981 + 1.47551i 0.175597 + 0.0787571i
\(352\) 0.261547 0.453013i 0.0139405 0.0241457i
\(353\) −5.23894 −0.278841 −0.139420 0.990233i \(-0.544524\pi\)
−0.139420 + 0.990233i \(0.544524\pi\)
\(354\) 8.10749 0.430908
\(355\) −33.0150 −1.75225
\(356\) −10.8520 −0.575153
\(357\) −6.14408 + 2.61003i −0.325179 + 0.138138i
\(358\) −1.75984 3.04813i −0.0930105 0.161099i
\(359\) −2.54006 + 4.39951i −0.134059 + 0.232197i −0.925238 0.379388i \(-0.876135\pi\)
0.791178 + 0.611585i \(0.209468\pi\)
\(360\) 2.07085 3.58682i 0.109143 0.189042i
\(361\) 13.4893 0.709961
\(362\) 4.23564 + 7.33635i 0.222621 + 0.385590i
\(363\) 10.7264 0.562989
\(364\) 9.53750 + 0.189910i 0.499901 + 0.00995398i
\(365\) −49.6242 −2.59745
\(366\) −3.00599 5.20652i −0.157126 0.272149i
\(367\) 4.86302 0.253848 0.126924 0.991912i \(-0.459490\pi\)
0.126924 + 0.991912i \(0.459490\pi\)
\(368\) 3.69669 6.40285i 0.192703 0.333771i
\(369\) 2.33240 4.03983i 0.121420 0.210305i
\(370\) −11.7309 20.3186i −0.609862 1.05631i
\(371\) 0.00123581 0.0100881i 6.41599e−5 0.000523749i
\(372\) −4.35275 −0.225680
\(373\) 28.8122 1.49184 0.745919 0.666036i \(-0.232010\pi\)
0.745919 + 0.666036i \(0.232010\pi\)
\(374\) 1.31982 0.0682461
\(375\) −29.6284 −1.53000
\(376\) 5.58154 9.66752i 0.287846 0.498564i
\(377\) 9.00592 6.50562i 0.463828 0.335057i
\(378\) 0.321703 2.62612i 0.0165466 0.135073i
\(379\) −14.1550 + 24.5172i −0.727094 + 1.25936i 0.231013 + 0.972951i \(0.425796\pi\)
−0.958106 + 0.286413i \(0.907537\pi\)
\(380\) 11.8037 + 20.4446i 0.605517 + 1.04879i
\(381\) 3.83432 6.64123i 0.196438 0.340241i
\(382\) −10.9754 19.0099i −0.561549 0.972632i
\(383\) −18.7363 −0.957380 −0.478690 0.877984i \(-0.658888\pi\)
−0.478690 + 0.877984i \(0.658888\pi\)
\(384\) −0.500000 0.866025i −0.0255155 0.0441942i
\(385\) −5.27573 + 2.24115i −0.268876 + 0.114220i
\(386\) 6.42959 + 11.1364i 0.327258 + 0.566827i
\(387\) −4.81529 8.34033i −0.244775 0.423963i
\(388\) 2.63784 0.133916
\(389\) 3.55307 + 6.15409i 0.180148 + 0.312025i 0.941931 0.335807i \(-0.109009\pi\)
−0.761783 + 0.647832i \(0.775676\pi\)
\(390\) −13.6254 6.11113i −0.689950 0.309449i
\(391\) 18.6542 0.943382
\(392\) −1.93322 6.72775i −0.0976422 0.339803i
\(393\) 5.62392 9.74091i 0.283689 0.491364i
\(394\) −10.5411 −0.531051
\(395\) 4.78789 + 8.29287i 0.240905 + 0.417260i
\(396\) −0.261547 + 0.453013i −0.0131432 + 0.0227648i
\(397\) 39.3266 1.97374 0.986872 0.161503i \(-0.0516340\pi\)
0.986872 + 0.161503i \(0.0516340\pi\)
\(398\) −13.1036 −0.656826
\(399\) 12.0464 + 9.07238i 0.603076 + 0.454187i
\(400\) −6.07684 + 10.5254i −0.303842 + 0.526270i
\(401\) 4.30153 + 7.45048i 0.214808 + 0.372059i 0.953213 0.302299i \(-0.0977540\pi\)
−0.738405 + 0.674358i \(0.764421\pi\)
\(402\) −1.61622 2.79938i −0.0806098 0.139620i
\(403\) 1.59778 + 15.6125i 0.0795912 + 0.777715i
\(404\) 6.09224 10.5521i 0.303100 0.524985i
\(405\) −2.07085 + 3.58682i −0.102901 + 0.178230i
\(406\) −6.51219 4.90444i −0.323195 0.243403i
\(407\) 1.48161 + 2.56623i 0.0734408 + 0.127203i
\(408\) 1.26155 2.18506i 0.0624559 0.108177i
\(409\) 18.2662 31.6381i 0.903208 1.56440i 0.0799027 0.996803i \(-0.474539\pi\)
0.823305 0.567599i \(-0.192128\pi\)
\(410\) −9.66009 + 16.7318i −0.477078 + 0.826323i
\(411\) −3.51116 + 6.08150i −0.173193 + 0.299978i
\(412\) 6.81529 + 11.8044i 0.335765 + 0.581563i
\(413\) −19.7429 + 8.38685i −0.971482 + 0.412690i
\(414\) −3.69669 + 6.40285i −0.181682 + 0.314683i
\(415\) −6.38097 + 11.0522i −0.313230 + 0.542529i
\(416\) −2.92274 + 2.11130i −0.143299 + 0.103515i
\(417\) −6.59202 11.4177i −0.322813 0.559128i
\(418\) −1.49080 2.58215i −0.0729175 0.126297i
\(419\) 6.77818 11.7402i 0.331136 0.573544i −0.651599 0.758564i \(-0.725901\pi\)
0.982735 + 0.185019i \(0.0592348\pi\)
\(420\) −1.33240 + 10.8766i −0.0650143 + 0.530724i
\(421\) 4.50209 0.219418 0.109709 0.993964i \(-0.465008\pi\)
0.109709 + 0.993964i \(0.465008\pi\)
\(422\) −1.95886 −0.0953558
\(423\) −5.58154 + 9.66752i −0.271384 + 0.470051i
\(424\) 0.00192073 + 0.00332680i 9.32788e−5 + 0.000161564i
\(425\) −30.6649 −1.48746
\(426\) 3.98568 6.90340i 0.193107 0.334471i
\(427\) 12.7059 + 9.56904i 0.614883 + 0.463078i
\(428\) 5.39721 0.260884
\(429\) 1.72088 + 0.771833i 0.0830850 + 0.0372644i
\(430\) 19.9435 + 34.5431i 0.961760 + 1.66582i
\(431\) −0.507706 −0.0244553 −0.0122277 0.999925i \(-0.503892\pi\)
−0.0122277 + 0.999925i \(0.503892\pi\)
\(432\) 0.500000 + 0.866025i 0.0240563 + 0.0416667i
\(433\) −6.41093 11.1041i −0.308090 0.533627i 0.669855 0.742492i \(-0.266356\pi\)
−0.977944 + 0.208865i \(0.933023\pi\)
\(434\) 10.5996 4.50274i 0.508795 0.216138i
\(435\) 6.38097 + 11.0522i 0.305944 + 0.529911i
\(436\) −11.1627 −0.534594
\(437\) −21.0709 36.4958i −1.00796 1.74583i
\(438\) 5.99080 10.3764i 0.286252 0.495802i
\(439\) 0.216640 + 0.375232i 0.0103397 + 0.0179088i 0.871149 0.491019i \(-0.163375\pi\)
−0.860809 + 0.508928i \(0.830042\pi\)
\(440\) 1.08325 1.87624i 0.0516419 0.0894464i
\(441\) 1.93322 + 6.72775i 0.0920580 + 0.320369i
\(442\) −8.30051 3.72286i −0.394815 0.177078i
\(443\) −7.03339 + 12.1822i −0.334166 + 0.578793i −0.983324 0.181861i \(-0.941788\pi\)
0.649158 + 0.760654i \(0.275121\pi\)
\(444\) 5.66479 0.268839
\(445\) −44.9456 −2.13063
\(446\) 12.5364 0.593617
\(447\) −18.1322 −0.857626
\(448\) 2.11344 + 1.59166i 0.0998504 + 0.0751990i
\(449\) 15.2892 + 26.4817i 0.721542 + 1.24975i 0.960382 + 0.278688i \(0.0898997\pi\)
−0.238840 + 0.971059i \(0.576767\pi\)
\(450\) 6.07684 10.5254i 0.286465 0.496172i
\(451\) 1.22006 2.11321i 0.0574506 0.0995073i
\(452\) −4.07235 −0.191547
\(453\) 2.53343 + 4.38804i 0.119031 + 0.206168i
\(454\) 21.7299 1.01983
\(455\) 39.5015 + 0.786550i 1.85186 + 0.0368740i
\(456\) −5.69993 −0.266924
\(457\) −1.15513 2.00074i −0.0540346 0.0935907i 0.837743 0.546065i \(-0.183875\pi\)
−0.891778 + 0.452474i \(0.850541\pi\)
\(458\) −15.5514 −0.726670
\(459\) −1.26155 + 2.18506i −0.0588840 + 0.101990i
\(460\) 15.3106 26.5187i 0.713859 1.23644i
\(461\) −15.0409 26.0516i −0.700524 1.21334i −0.968283 0.249857i \(-0.919617\pi\)
0.267759 0.963486i \(-0.413717\pi\)
\(462\) 0.168281 1.37371i 0.00782914 0.0639107i
\(463\) 29.4727 1.36971 0.684856 0.728679i \(-0.259865\pi\)
0.684856 + 0.728679i \(0.259865\pi\)
\(464\) 3.08133 0.143047
\(465\) −18.0278 −0.836019
\(466\) 20.6639 0.957239
\(467\) 2.92442 5.06525i 0.135326 0.234392i −0.790396 0.612596i \(-0.790125\pi\)
0.925722 + 0.378205i \(0.123458\pi\)
\(468\) 2.92274 2.11130i 0.135104 0.0975951i
\(469\) 6.83156 + 5.14496i 0.315452 + 0.237572i
\(470\) 23.1171 40.0400i 1.06631 1.84691i
\(471\) −5.80481 10.0542i −0.267472 0.463274i
\(472\) 4.05374 7.02129i 0.186589 0.323181i
\(473\) −2.51885 4.36278i −0.115817 0.200601i
\(474\) −2.31204 −0.106196
\(475\) 34.6376 + 59.9940i 1.58928 + 2.75272i
\(476\) −0.811687 + 6.62595i −0.0372036 + 0.303700i
\(477\) −0.00192073 0.00332680i −8.79441e−5 0.000152324i
\(478\) −15.0486 26.0649i −0.688305 1.19218i
\(479\) 17.3275 0.791713 0.395856 0.918312i \(-0.370448\pi\)
0.395856 + 0.918312i \(0.370448\pi\)
\(480\) −2.07085 3.58682i −0.0945209 0.163715i
\(481\) −2.07940 20.3186i −0.0948124 0.926448i
\(482\) −2.05219 −0.0934746
\(483\) 2.37847 19.4159i 0.108224 0.883453i
\(484\) 5.36319 9.28931i 0.243781 0.422241i
\(485\) 10.9251 0.496084
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) 19.0323 32.9648i 0.862434 1.49378i −0.00713845 0.999975i \(-0.502272\pi\)
0.869573 0.493805i \(-0.164394\pi\)
\(488\) −6.01198 −0.272149
\(489\) 19.9927 0.904103
\(490\) −8.00681 27.8643i −0.361711 1.25878i
\(491\) −8.22130 + 14.2397i −0.371022 + 0.642629i −0.989723 0.142997i \(-0.954326\pi\)
0.618701 + 0.785627i \(0.287659\pi\)
\(492\) −2.33240 4.03983i −0.105153 0.182130i
\(493\) 3.88724 + 6.73290i 0.175073 + 0.303235i
\(494\) 2.09230 + 20.4446i 0.0941369 + 0.919847i
\(495\) −1.08325 + 1.87624i −0.0486885 + 0.0843309i
\(496\) −2.17638 + 3.76959i −0.0977222 + 0.169260i
\(497\) −2.56441 + 20.9337i −0.115029 + 0.939007i
\(498\) −1.54066 2.66851i −0.0690388 0.119579i
\(499\) −3.74298 + 6.48304i −0.167559 + 0.290221i −0.937561 0.347821i \(-0.886922\pi\)
0.770002 + 0.638041i \(0.220255\pi\)
\(500\) −14.8142 + 25.6589i −0.662511 + 1.14750i
\(501\) 8.82851 15.2914i 0.394429 0.683171i
\(502\) 8.23457 14.2627i 0.367527 0.636575i
\(503\) 1.27275 + 2.20447i 0.0567492 + 0.0982925i 0.893004 0.450048i \(-0.148593\pi\)
−0.836255 + 0.548340i \(0.815260\pi\)
\(504\) −2.11344 1.59166i −0.0941399 0.0708983i
\(505\) 25.2322 43.7035i 1.12282 1.94478i
\(506\) −1.93372 + 3.34929i −0.0859642 + 0.148894i
\(507\) −8.64572 9.70832i −0.383970 0.431162i
\(508\) −3.83432 6.64123i −0.170120 0.294657i
\(509\) 17.2213 + 29.8281i 0.763320 + 1.32211i 0.941130 + 0.338044i \(0.109765\pi\)
−0.177811 + 0.984065i \(0.556901\pi\)
\(510\) 5.22495 9.04988i 0.231365 0.400735i
\(511\) −3.85452 + 31.4651i −0.170514 + 1.39194i
\(512\) −1.00000 −0.0441942
\(513\) 5.69993 0.251658
\(514\) 5.93711 10.2834i 0.261874 0.453580i
\(515\) 28.2269 + 48.8904i 1.24383 + 2.15437i
\(516\) −9.63058 −0.423963
\(517\) −2.91968 + 5.05703i −0.128407 + 0.222408i
\(518\) −13.7946 + 5.85999i −0.606098 + 0.257473i
\(519\) 3.86985 0.169867
\(520\) −12.1051 + 8.74439i −0.530844 + 0.383467i
\(521\) 21.9782 + 38.0673i 0.962881 + 1.66776i 0.715204 + 0.698916i \(0.246334\pi\)
0.247677 + 0.968843i \(0.420333\pi\)
\(522\) −3.08133 −0.134866
\(523\) 14.2468 + 24.6763i 0.622971 + 1.07902i 0.988929 + 0.148386i \(0.0474080\pi\)
−0.365958 + 0.930631i \(0.619259\pi\)
\(524\) −5.62392 9.74091i −0.245682 0.425533i
\(525\) −3.90987 + 31.9170i −0.170641 + 1.39297i
\(526\) 12.5158 + 21.6781i 0.545717 + 0.945209i
\(527\) −10.9824 −0.478401
\(528\) 0.261547 + 0.453013i 0.0113824 + 0.0197149i
\(529\) −15.8310 + 27.4200i −0.688303 + 1.19218i
\(530\) 0.00795507 + 0.0137786i 0.000345546 + 0.000598504i
\(531\) −4.05374 + 7.02129i −0.175917 + 0.304698i
\(532\) 13.8801 5.89634i 0.601780 0.255639i
\(533\) −13.6340 + 9.84880i −0.590553 + 0.426599i
\(534\) 5.42599 9.39808i 0.234805 0.406695i
\(535\) 22.3536 0.966432
\(536\) −3.23244 −0.139620
\(537\) 3.51968 0.151885
\(538\) 15.5300 0.669547
\(539\) 1.01126 + 3.51925i 0.0435579 + 0.151585i
\(540\) 2.07085 + 3.58682i 0.0891152 + 0.154352i
\(541\) 0.327013 0.566403i 0.0140594 0.0243516i −0.858910 0.512126i \(-0.828858\pi\)
0.872969 + 0.487775i \(0.162191\pi\)
\(542\) −2.63845 + 4.56993i −0.113331 + 0.196295i
\(543\) −8.47129 −0.363538
\(544\) −1.26155 2.18506i −0.0540884 0.0936838i
\(545\) −46.2324 −1.98038
\(546\) −4.93322 + 8.16476i −0.211122 + 0.349420i
\(547\) 4.52174 0.193336 0.0966678 0.995317i \(-0.469182\pi\)
0.0966678 + 0.995317i \(0.469182\pi\)
\(548\) 3.51116 + 6.08150i 0.149989 + 0.259789i
\(549\) 6.01198 0.256585
\(550\) 3.17876 5.50578i 0.135543 0.234767i
\(551\) 8.78169 15.2103i 0.374113 0.647982i
\(552\) 3.69669 + 6.40285i 0.157341 + 0.272523i
\(553\) 5.63014 2.39171i 0.239418 0.101706i
\(554\) 11.1319 0.472948
\(555\) 23.4619 0.995901
\(556\) −13.1840 −0.559128
\(557\) −2.19422 −0.0929719 −0.0464859 0.998919i \(-0.514802\pi\)
−0.0464859 + 0.998919i \(0.514802\pi\)
\(558\) 2.17638 3.76959i 0.0921334 0.159580i
\(559\) 3.53513 + 34.5431i 0.149520 + 1.46102i
\(560\) 8.75321 + 6.59219i 0.369891 + 0.278571i
\(561\) −0.659909 + 1.14300i −0.0278614 + 0.0482573i
\(562\) 9.69540 + 16.7929i 0.408976 + 0.708367i
\(563\) 7.51839 13.0222i 0.316862 0.548822i −0.662969 0.748647i \(-0.730704\pi\)
0.979832 + 0.199825i \(0.0640374\pi\)
\(564\) 5.58154 + 9.66752i 0.235025 + 0.407076i
\(565\) −16.8664 −0.709576
\(566\) 13.0180 + 22.5478i 0.547186 + 0.947754i
\(567\) 2.11344 + 1.59166i 0.0887559 + 0.0668436i
\(568\) −3.98568 6.90340i −0.167235 0.289660i
\(569\) 9.08664 + 15.7385i 0.380932 + 0.659793i 0.991196 0.132405i \(-0.0422700\pi\)
−0.610264 + 0.792198i \(0.708937\pi\)
\(570\) −23.6074 −0.988806
\(571\) −18.3240 31.7382i −0.766837 1.32820i −0.939270 0.343180i \(-0.888496\pi\)
0.172433 0.985021i \(-0.444837\pi\)
\(572\) 1.52887 1.10441i 0.0639252 0.0461778i
\(573\) 21.9508 0.917006
\(574\) 9.85874 + 7.42478i 0.411496 + 0.309904i
\(575\) 44.9283 77.8181i 1.87364 3.24524i
\(576\) 1.00000 0.0416667
\(577\) −14.3809 24.9085i −0.598686 1.03695i −0.993015 0.117985i \(-0.962357\pi\)
0.394330 0.918969i \(-0.370977\pi\)
\(578\) −5.31700 + 9.20931i −0.221158 + 0.383057i
\(579\) −12.8592 −0.534409
\(580\) 12.7619 0.529911
\(581\) 6.51219 + 4.90444i 0.270171 + 0.203470i
\(582\) −1.31892 + 2.28443i −0.0546709 + 0.0946928i
\(583\) −0.00100472 0.00174023i −4.16113e−5 7.20729e-5i
\(584\) −5.99080 10.3764i −0.247901 0.429377i
\(585\) 12.1051 8.74439i 0.500484 0.361536i
\(586\) 6.46216 11.1928i 0.266949 0.462370i
\(587\) −7.20528 + 12.4799i −0.297394 + 0.515101i −0.975539 0.219827i \(-0.929451\pi\)
0.678145 + 0.734928i \(0.262784\pi\)
\(588\) 6.79301 + 1.68966i 0.280139 + 0.0696805i
\(589\) 12.4052 + 21.4864i 0.511147 + 0.885333i
\(590\) 16.7894 29.0801i 0.691208 1.19721i
\(591\) 5.27054 9.12883i 0.216801 0.375510i
\(592\) 2.83240 4.90586i 0.116411 0.201629i
\(593\) 9.75838 16.9020i 0.400729 0.694083i −0.593085 0.805140i \(-0.702090\pi\)
0.993814 + 0.111057i \(0.0354236\pi\)
\(594\) −0.261547 0.453013i −0.0107314 0.0185874i
\(595\) −3.36176 + 27.4427i −0.137819 + 1.12504i
\(596\) −9.06612 + 15.7030i −0.371363 + 0.643219i
\(597\) 6.55182 11.3481i 0.268148 0.464446i
\(598\) 21.6089 15.6097i 0.883653 0.638326i
\(599\) 0.837961 + 1.45139i 0.0342382 + 0.0593022i 0.882637 0.470056i \(-0.155766\pi\)
−0.848399 + 0.529358i \(0.822433\pi\)
\(600\) −6.07684 10.5254i −0.248086 0.429697i
\(601\) −7.12111 + 12.3341i −0.290476 + 0.503119i −0.973922 0.226882i \(-0.927147\pi\)
0.683446 + 0.730001i \(0.260480\pi\)
\(602\) 23.4518 9.96242i 0.955824 0.406038i
\(603\) 3.23244 0.131635
\(604\) 5.06687 0.206168
\(605\) 22.2127 38.4735i 0.903075 1.56417i
\(606\) 6.09224 + 10.5521i 0.247480 + 0.428648i
\(607\) −34.3019 −1.39227 −0.696135 0.717911i \(-0.745099\pi\)
−0.696135 + 0.717911i \(0.745099\pi\)
\(608\) −2.84997 + 4.93629i −0.115581 + 0.200193i
\(609\) 7.50346 3.18750i 0.304056 0.129164i
\(610\) −24.8998 −1.00816
\(611\) 32.6268 23.5687i 1.31994 0.953486i
\(612\) 1.26155 + 2.18506i 0.0509950 + 0.0883260i
\(613\) −3.65538 −0.147639 −0.0738197 0.997272i \(-0.523519\pi\)
−0.0738197 + 0.997272i \(0.523519\pi\)
\(614\) 10.0386 + 17.3873i 0.405123 + 0.701694i
\(615\) −9.66009 16.7318i −0.389532 0.674690i
\(616\) −1.10553 0.832590i −0.0445429 0.0335460i
\(617\) 2.31545 + 4.01048i 0.0932167 + 0.161456i 0.908863 0.417095i \(-0.136952\pi\)
−0.815646 + 0.578551i \(0.803618\pi\)
\(618\) −13.6306 −0.548302
\(619\) −0.674947 1.16904i −0.0271284 0.0469878i 0.852142 0.523310i \(-0.175303\pi\)
−0.879271 + 0.476322i \(0.841970\pi\)
\(620\) −9.01390 + 15.6125i −0.362007 + 0.627014i
\(621\) −3.69669 6.40285i −0.148343 0.256937i
\(622\) −10.4837 + 18.1583i −0.420358 + 0.728081i
\(623\) −3.49111 + 28.4986i −0.139868 + 1.14177i
\(624\) −0.367074 3.58682i −0.0146947 0.143588i
\(625\) −30.9717 + 53.6446i −1.23887 + 2.14578i
\(626\) 19.1122 0.763877
\(627\) 2.98160 0.119074
\(628\) −11.6096 −0.463274
\(629\) 14.2928 0.569892
\(630\) −8.75321 6.59219i −0.348736 0.262639i
\(631\) −20.8686 36.1455i −0.830766 1.43893i −0.897431 0.441154i \(-0.854569\pi\)
0.0666652 0.997775i \(-0.478764\pi\)
\(632\) −1.15602 + 2.00229i −0.0459840 + 0.0796467i
\(633\) 0.979430 1.69642i 0.0389289 0.0674267i
\(634\) 18.2624 0.725294
\(635\) −15.8806 27.5060i −0.630202 1.09154i
\(636\) −0.00384145 −0.000152324
\(637\) 3.56697 24.9855i 0.141328 0.989963i
\(638\) −1.61183 −0.0638128
\(639\) 3.98568 + 6.90340i 0.157671 + 0.273094i
\(640\) −4.14170 −0.163715
\(641\) 7.90110 13.6851i 0.312075 0.540529i −0.666737 0.745293i \(-0.732309\pi\)
0.978811 + 0.204764i \(0.0656427\pi\)
\(642\) −2.69861 + 4.67412i −0.106505 + 0.184473i
\(643\) 17.7586 + 30.7588i 0.700330 + 1.21301i 0.968351 + 0.249594i \(0.0802971\pi\)
−0.268021 + 0.963413i \(0.586370\pi\)
\(644\) −15.6254 11.7678i −0.615727 0.463715i
\(645\) −39.8870 −1.57055
\(646\) −14.3815 −0.565832
\(647\) −7.99092 −0.314156 −0.157078 0.987586i \(-0.550207\pi\)
−0.157078 + 0.987586i \(0.550207\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −2.12049 + 3.67280i −0.0832366 + 0.144170i
\(650\) −35.5220 + 25.6601i −1.39329 + 1.00647i
\(651\) −1.40029 + 11.4309i −0.0548818 + 0.448010i
\(652\) 9.99637 17.3142i 0.391488 0.678077i
\(653\) −21.7485 37.6696i −0.851086 1.47412i −0.880229 0.474550i \(-0.842611\pi\)
0.0291423 0.999575i \(-0.490722\pi\)
\(654\) 5.58133 9.66715i 0.218247 0.378015i
\(655\) −23.2926 40.3439i −0.910116 1.57637i
\(656\) −4.66479 −0.182130
\(657\) 5.99080 + 10.3764i 0.233723 + 0.404821i
\(658\) −23.5925 17.7679i −0.919730 0.692664i
\(659\) 2.30892 + 3.99917i 0.0899429 + 0.155786i 0.907487 0.420081i \(-0.137998\pi\)
−0.817544 + 0.575866i \(0.804665\pi\)
\(660\) 1.08325 + 1.87624i 0.0421655 + 0.0730327i
\(661\) 25.8552 1.00565 0.502824 0.864389i \(-0.332294\pi\)
0.502824 + 0.864389i \(0.332294\pi\)
\(662\) −5.12199 8.87155i −0.199072 0.344803i
\(663\) 7.37434 5.32702i 0.286396 0.206884i
\(664\) −3.08133 −0.119579
\(665\) 57.4873 24.4209i 2.22926 0.947000i
\(666\) −2.83240 + 4.90586i −0.109753 + 0.190098i
\(667\) −22.7814 −0.882100
\(668\) −8.82851 15.2914i −0.341585 0.591643i
\(669\) −6.26821 + 10.8569i −0.242343 + 0.419751i
\(670\) −13.3878 −0.517216
\(671\) 3.14483 0.121405
\(672\) −2.43514 + 1.03446i −0.0939375 + 0.0399051i
\(673\) 6.36967 11.0326i 0.245533 0.425275i −0.716748 0.697332i \(-0.754370\pi\)
0.962281 + 0.272056i \(0.0877038\pi\)
\(674\) −16.3133 28.2555i −0.628365 1.08836i
\(675\) 6.07684 + 10.5254i 0.233898 + 0.405123i
\(676\) −12.7305 + 2.63325i −0.489635 + 0.101279i
\(677\) 12.1455 21.0367i 0.466791 0.808505i −0.532490 0.846436i \(-0.678744\pi\)
0.999280 + 0.0379314i \(0.0120768\pi\)
\(678\) 2.03617 3.52676i 0.0781988 0.135444i
\(679\) 0.848599 6.92727i 0.0325663 0.265844i
\(680\) −5.22495 9.04988i −0.200368 0.347047i
\(681\) −10.8649 + 18.8186i −0.416346 + 0.721132i
\(682\) 1.13845 1.97185i 0.0435935 0.0755062i
\(683\) −4.98049 + 8.62645i −0.190573 + 0.330082i −0.945440 0.325795i \(-0.894368\pi\)
0.754867 + 0.655878i \(0.227701\pi\)
\(684\) 2.84997 4.93629i 0.108971 0.188744i
\(685\) 14.5422 + 25.1878i 0.555627 + 0.962375i
\(686\) −18.2898 + 2.91252i −0.698308 + 0.111201i
\(687\) 7.77570 13.4679i 0.296662 0.513833i
\(688\) −4.81529 + 8.34033i −0.183581 + 0.317972i
\(689\) 0.00141010 + 0.0137786i 5.37204e−5 + 0.000524923i
\(690\) 15.3106 + 26.5187i 0.582863 + 1.00955i
\(691\) 14.1115 + 24.4419i 0.536827 + 0.929812i 0.999072 + 0.0430600i \(0.0137107\pi\)
−0.462245 + 0.886752i \(0.652956\pi\)
\(692\) 1.93492 3.35139i 0.0735548 0.127401i
\(693\) 1.10553 + 0.832590i 0.0419955 + 0.0316275i
\(694\) −8.43192 −0.320071
\(695\) −54.6044 −2.07126
\(696\) −1.54066 + 2.66851i −0.0583987 + 0.101150i
\(697\) −5.88486 10.1929i −0.222905 0.386083i
\(698\) 36.6155 1.38592
\(699\) −10.3320 + 17.8955i −0.390791 + 0.676870i
\(700\) 25.6860 + 19.3446i 0.970840 + 0.731156i
\(701\) −1.33647 −0.0504778 −0.0252389 0.999681i \(-0.508035\pi\)
−0.0252389 + 0.999681i \(0.508035\pi\)
\(702\) 0.367074 + 3.58682i 0.0138543 + 0.135376i
\(703\) −16.1445 27.9631i −0.608901 1.05465i
\(704\) 0.523095 0.0197149
\(705\) 23.1171 + 40.0400i 0.870640 + 1.50799i
\(706\) −2.61947 4.53705i −0.0985850 0.170754i
\(707\) −25.7511 19.3936i −0.968470 0.729371i
\(708\) 4.05374 + 7.02129i 0.152349 + 0.263876i
\(709\) −33.5104 −1.25851 −0.629254 0.777200i \(-0.716639\pi\)
−0.629254 + 0.777200i \(0.716639\pi\)
\(710\) −16.5075 28.5918i −0.619515 1.07303i
\(711\) 1.15602 2.00229i 0.0433542 0.0750916i
\(712\) −5.42599 9.39808i −0.203347 0.352208i
\(713\) 16.0908 27.8700i 0.602604 1.04374i
\(714\) −5.33240 4.01592i −0.199560 0.150292i
\(715\) 6.33211 4.57414i 0.236808 0.171063i
\(716\) 1.75984 3.04813i 0.0657683 0.113914i
\(717\) 30.0971 1.12400
\(718\) −5.08012 −0.189588
\(719\) −7.06328 −0.263416 −0.131708 0.991289i \(-0.542046\pi\)
−0.131708 + 0.991289i \(0.542046\pi\)
\(720\) 4.14170 0.154352
\(721\) 33.1924 14.1003i 1.23615 0.525121i
\(722\) 6.74463 + 11.6820i 0.251009 + 0.434760i
\(723\) 1.02609 1.77725i 0.0381609 0.0660965i
\(724\) −4.23564 + 7.33635i −0.157416 + 0.272653i
\(725\) 37.4495 1.39084
\(726\) 5.36319 + 9.28931i 0.199047 + 0.344759i
\(727\) −22.2264 −0.824331 −0.412166 0.911109i \(-0.635228\pi\)
−0.412166 + 0.911109i \(0.635228\pi\)
\(728\) 4.60428 + 8.35467i 0.170646 + 0.309645i
\(729\) 1.00000 0.0370370
\(730\) −24.8121 42.9758i −0.918337 1.59061i
\(731\) −24.2989 −0.898726
\(732\) 3.00599 5.20652i 0.111105 0.192439i
\(733\) 7.77847 13.4727i 0.287304 0.497626i −0.685861 0.727732i \(-0.740574\pi\)
0.973165 + 0.230107i \(0.0739076\pi\)
\(734\) 2.43151 + 4.21150i 0.0897487 + 0.155449i
\(735\) 28.1346 + 6.99807i 1.03776 + 0.258128i
\(736\) 7.39337 0.272523
\(737\) 1.69087 0.0622841
\(738\) 4.66479 0.171713
\(739\) −6.38799 −0.234986 −0.117493 0.993074i \(-0.537486\pi\)
−0.117493 + 0.993074i \(0.537486\pi\)
\(740\) 11.7309 20.3186i 0.431238 0.746926i
\(741\) −18.7517 8.41033i −0.688861 0.308961i
\(742\) 0.00935447 0.00397382i 0.000343413 0.000145884i
\(743\) −5.24875 + 9.09109i −0.192558 + 0.333520i −0.946097 0.323883i \(-0.895012\pi\)
0.753539 + 0.657403i \(0.228345\pi\)
\(744\) −2.17638 3.76959i −0.0797898 0.138200i
\(745\) −37.5491 + 65.0370i −1.37569 + 2.38277i
\(746\) 14.4061 + 24.9521i 0.527445 + 0.913561i
\(747\) 3.08133 0.112740
\(748\) 0.659909 + 1.14300i 0.0241286 + 0.0417920i
\(749\) 1.73630 14.1737i 0.0634430 0.517897i
\(750\) −14.8142 25.6589i −0.540938 0.936932i
\(751\) −8.28166 14.3443i −0.302202 0.523430i 0.674432 0.738337i \(-0.264388\pi\)
−0.976634 + 0.214907i \(0.931055\pi\)
\(752\) 11.1631 0.407076
\(753\) 8.23457 + 14.2627i 0.300084 + 0.519761i
\(754\) 10.1370 + 4.54654i 0.369168 + 0.165575i
\(755\) 20.9854 0.763739
\(756\) 2.43514 1.03446i 0.0885651 0.0376228i
\(757\) −13.5475 + 23.4649i −0.492391 + 0.852847i −0.999962 0.00876370i \(-0.997210\pi\)
0.507570 + 0.861610i \(0.330544\pi\)
\(758\) −28.3100 −1.02827
\(759\) −1.93372 3.34929i −0.0701894 0.121572i
\(760\) −11.8037 + 20.4446i −0.428166 + 0.741604i
\(761\) −2.80358 −0.101630 −0.0508148 0.998708i \(-0.516182\pi\)
−0.0508148 + 0.998708i \(0.516182\pi\)
\(762\) 7.66864 0.277805
\(763\) −3.59106 + 29.3145i −0.130005 + 1.06126i
\(764\) 10.9754 19.0099i 0.397075 0.687755i
\(765\) 5.22495 + 9.04988i 0.188908 + 0.327199i
\(766\) −9.36815 16.2261i −0.338485 0.586273i
\(767\) 23.6961 17.1174i 0.855615 0.618072i
\(768\) 0.500000 0.866025i 0.0180422 0.0312500i
\(769\) −4.67209 + 8.09231i −0.168480 + 0.291816i −0.937886 0.346945i \(-0.887219\pi\)
0.769406 + 0.638761i \(0.220553\pi\)
\(770\) −4.57876 3.44834i −0.165007 0.124270i
\(771\) 5.93711 + 10.2834i 0.213820 + 0.370346i
\(772\) −6.42959 + 11.1364i −0.231406 + 0.400807i
\(773\) −25.2786 + 43.7838i −0.909207 + 1.57479i −0.0940393 + 0.995568i \(0.529978\pi\)
−0.815168 + 0.579225i \(0.803355\pi\)
\(774\) 4.81529 8.34033i 0.173082 0.299787i
\(775\) −26.4510 + 45.8144i −0.950147 + 1.64