Properties

Label 546.2.bn.e.101.2
Level $546$
Weight $2$
Character 546.101
Analytic conductor $4.360$
Analytic rank $0$
Dimension $34$
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.bn (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.2
Character \(\chi\) \(=\) 546.101
Dual form 546.2.bn.e.173.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.72973 - 0.0896134i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(3.27919 - 1.89324i) q^{5} +(0.942473 - 1.45318i) q^{6} +(2.49160 - 0.889895i) q^{7} +1.00000 q^{8} +(2.98394 + 0.310014i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-1.72973 - 0.0896134i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(3.27919 - 1.89324i) q^{5} +(0.942473 - 1.45318i) q^{6} +(2.49160 - 0.889895i) q^{7} +1.00000 q^{8} +(2.98394 + 0.310014i) q^{9} +3.78649i q^{10} -5.80837 q^{11} +(0.787258 + 1.54280i) q^{12} +(0.879475 - 3.49664i) q^{13} +(-0.475130 + 2.60274i) q^{14} +(-5.84178 + 2.98094i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.26972 - 3.93127i) q^{17} +(-1.76045 + 2.42916i) q^{18} -2.85676 q^{19} +(-3.27919 - 1.89324i) q^{20} +(-4.38955 + 1.31600i) q^{21} +(2.90419 - 5.03020i) q^{22} +(4.19933 + 2.42448i) q^{23} +(-1.72973 - 0.0896134i) q^{24} +(4.66874 - 8.08650i) q^{25} +(2.58845 + 2.50997i) q^{26} +(-5.13363 - 0.803642i) q^{27} +(-2.01647 - 1.71284i) q^{28} +(-2.20269 + 1.27172i) q^{29} +(0.339320 - 6.54960i) q^{30} +(0.824954 - 1.42886i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(10.0469 + 0.520508i) q^{33} +4.53944 q^{34} +(6.48566 - 7.63535i) q^{35} +(-1.22349 - 2.73917i) q^{36} +(-0.865515 - 0.499705i) q^{37} +(1.42838 - 2.47403i) q^{38} +(-1.83460 + 5.96944i) q^{39} +(3.27919 - 1.89324i) q^{40} +(3.48711 - 2.01328i) q^{41} +(1.05509 - 4.45946i) q^{42} +(-0.445979 + 0.772459i) q^{43} +(2.90419 + 5.03020i) q^{44} +(10.3718 - 4.63273i) q^{45} +(-4.19933 + 2.42448i) q^{46} +(6.23486 - 3.59970i) q^{47} +(0.942473 - 1.45318i) q^{48} +(5.41617 - 4.43453i) q^{49} +(4.66874 + 8.08650i) q^{50} +(3.57371 + 7.00344i) q^{51} +(-3.46792 + 0.986674i) q^{52} +(-5.41458 - 3.12611i) q^{53} +(3.26279 - 4.04403i) q^{54} +(-19.0468 + 10.9967i) q^{55} +(2.49160 - 0.889895i) q^{56} +(4.94143 + 0.256004i) q^{57} -2.54344i q^{58} +(8.67545 - 5.00877i) q^{59} +(5.50246 + 3.56866i) q^{60} +3.64451i q^{61} +(0.824954 + 1.42886i) q^{62} +(7.71067 - 1.88296i) q^{63} +1.00000 q^{64} +(-3.73603 - 13.1312i) q^{65} +(-5.47423 + 8.44064i) q^{66} +10.6760i q^{67} +(-2.26972 + 3.93127i) q^{68} +(-7.04644 - 4.57002i) q^{69} +(3.36958 + 9.43442i) q^{70} +(6.77969 - 11.7428i) q^{71} +(2.98394 + 0.310014i) q^{72} +(-2.19097 + 3.79486i) q^{73} +(0.865515 - 0.499705i) q^{74} +(-8.80032 + 13.5691i) q^{75} +(1.42838 + 2.47403i) q^{76} +(-14.4722 + 5.16884i) q^{77} +(-4.25239 - 4.57353i) q^{78} +(-8.40177 - 14.5523i) q^{79} +3.78649i q^{80} +(8.80778 + 1.85013i) q^{81} +4.02657i q^{82} +11.9716i q^{83} +(3.33446 + 3.14346i) q^{84} +(-14.8857 - 8.59427i) q^{85} +(-0.445979 - 0.772459i) q^{86} +(3.92402 - 2.00235i) q^{87} -5.80837 q^{88} +(1.89510 + 1.09414i) q^{89} +(-1.17386 + 11.2986i) q^{90} +(-0.920344 - 9.49489i) q^{91} -4.84897i q^{92} +(-1.55499 + 2.39762i) q^{93} +7.19940i q^{94} +(-9.36788 + 5.40855i) q^{95} +(0.787258 + 1.54280i) q^{96} +(-6.30970 + 10.9287i) q^{97} +(1.13233 + 6.90781i) q^{98} +(-17.3318 - 1.80068i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} + O(q^{10}) \) \( 34q - 17q^{2} + 3q^{3} - 17q^{4} + 9q^{5} - 6q^{6} + 5q^{7} + 34q^{8} + 7q^{9} - 18q^{11} + 3q^{12} - 8q^{13} - 4q^{14} - 17q^{15} - 17q^{16} + 6q^{17} - 11q^{18} - 10q^{19} - 9q^{20} - 4q^{21} + 9q^{22} + 6q^{23} + 3q^{24} + 16q^{25} + 13q^{26} + 18q^{27} - q^{28} + 27q^{29} + 13q^{30} + q^{31} - 17q^{32} + 21q^{33} - 12q^{34} - 3q^{35} + 4q^{36} + 6q^{37} + 5q^{38} + 20q^{39} + 9q^{40} + 3q^{41} + 20q^{42} - 3q^{43} + 9q^{44} - 6q^{46} - 27q^{47} - 6q^{48} - 5q^{49} + 16q^{50} + 24q^{51} - 5q^{52} + 21q^{53} - 18q^{54} + 57q^{55} + 5q^{56} - 17q^{57} - 6q^{59} + 4q^{60} + q^{62} - 21q^{63} + 34q^{64} + 33q^{65} - 21q^{66} + 6q^{68} - 30q^{69} + 3q^{70} - 15q^{71} + 7q^{72} + 19q^{73} - 6q^{74} - 63q^{75} + 5q^{76} - 9q^{77} - 10q^{78} - 9q^{79} - 5q^{81} - 16q^{84} - 42q^{85} - 3q^{86} - 75q^{87} - 18q^{88} - 18q^{89} - 9q^{90} - 27q^{91} + 25q^{93} - 3q^{95} + 3q^{96} - 19q^{97} + 7q^{98} - 27q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) −1.72973 0.0896134i −0.998661 0.0517383i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 3.27919 1.89324i 1.46650 0.846684i 0.467202 0.884151i \(-0.345262\pi\)
0.999298 + 0.0374664i \(0.0119287\pi\)
\(6\) 0.942473 1.45318i 0.384763 0.593260i
\(7\) 2.49160 0.889895i 0.941737 0.336349i
\(8\) 1.00000 0.353553
\(9\) 2.98394 + 0.310014i 0.994646 + 0.103338i
\(10\) 3.78649i 1.19739i
\(11\) −5.80837 −1.75129 −0.875645 0.482955i \(-0.839563\pi\)
−0.875645 + 0.482955i \(0.839563\pi\)
\(12\) 0.787258 + 1.54280i 0.227262 + 0.445367i
\(13\) 0.879475 3.49664i 0.243923 0.969795i
\(14\) −0.475130 + 2.60274i −0.126984 + 0.695611i
\(15\) −5.84178 + 2.98094i −1.50834 + 0.769676i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.26972 3.93127i −0.550488 0.953474i −0.998239 0.0593155i \(-0.981108\pi\)
0.447751 0.894158i \(-0.352225\pi\)
\(18\) −1.76045 + 2.42916i −0.414942 + 0.572558i
\(19\) −2.85676 −0.655387 −0.327693 0.944784i \(-0.606271\pi\)
−0.327693 + 0.944784i \(0.606271\pi\)
\(20\) −3.27919 1.89324i −0.733250 0.423342i
\(21\) −4.38955 + 1.31600i −0.957878 + 0.287174i
\(22\) 2.90419 5.03020i 0.619175 1.07244i
\(23\) 4.19933 + 2.42448i 0.875621 + 0.505540i 0.869212 0.494440i \(-0.164627\pi\)
0.00640879 + 0.999979i \(0.497960\pi\)
\(24\) −1.72973 0.0896134i −0.353080 0.0182923i
\(25\) 4.66874 8.08650i 0.933748 1.61730i
\(26\) 2.58845 + 2.50997i 0.507636 + 0.492246i
\(27\) −5.13363 0.803642i −0.987968 0.154661i
\(28\) −2.01647 1.71284i −0.381078 0.323697i
\(29\) −2.20269 + 1.27172i −0.409029 + 0.236153i −0.690372 0.723454i \(-0.742553\pi\)
0.281344 + 0.959607i \(0.409220\pi\)
\(30\) 0.339320 6.54960i 0.0619511 1.19579i
\(31\) 0.824954 1.42886i 0.148166 0.256631i −0.782384 0.622797i \(-0.785996\pi\)
0.930550 + 0.366166i \(0.119330\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) 10.0469 + 0.520508i 1.74894 + 0.0906088i
\(34\) 4.53944 0.778508
\(35\) 6.48566 7.63535i 1.09628 1.29061i
\(36\) −1.22349 2.73917i −0.203915 0.456529i
\(37\) −0.865515 0.499705i −0.142290 0.0821510i 0.427165 0.904174i \(-0.359512\pi\)
−0.569455 + 0.822023i \(0.692846\pi\)
\(38\) 1.42838 2.47403i 0.231714 0.401341i
\(39\) −1.83460 + 5.96944i −0.293771 + 0.955876i
\(40\) 3.27919 1.89324i 0.518486 0.299348i
\(41\) 3.48711 2.01328i 0.544595 0.314422i −0.202344 0.979314i \(-0.564856\pi\)
0.746939 + 0.664893i \(0.231523\pi\)
\(42\) 1.05509 4.45946i 0.162803 0.688110i
\(43\) −0.445979 + 0.772459i −0.0680112 + 0.117799i −0.898026 0.439943i \(-0.854999\pi\)
0.830015 + 0.557742i \(0.188332\pi\)
\(44\) 2.90419 + 5.03020i 0.437823 + 0.758331i
\(45\) 10.3718 4.63273i 1.54614 0.690606i
\(46\) −4.19933 + 2.42448i −0.619157 + 0.357471i
\(47\) 6.23486 3.59970i 0.909448 0.525070i 0.0291943 0.999574i \(-0.490706\pi\)
0.880253 + 0.474504i \(0.157373\pi\)
\(48\) 0.942473 1.45318i 0.136034 0.209749i
\(49\) 5.41617 4.43453i 0.773739 0.633505i
\(50\) 4.66874 + 8.08650i 0.660260 + 1.14360i
\(51\) 3.57371 + 7.00344i 0.500420 + 0.980678i
\(52\) −3.46792 + 0.986674i −0.480914 + 0.136827i
\(53\) −5.41458 3.12611i −0.743749 0.429404i 0.0796817 0.996820i \(-0.474610\pi\)
−0.823431 + 0.567417i \(0.807943\pi\)
\(54\) 3.26279 4.04403i 0.444009 0.550323i
\(55\) −19.0468 + 10.9967i −2.56827 + 1.48279i
\(56\) 2.49160 0.889895i 0.332954 0.118917i
\(57\) 4.94143 + 0.256004i 0.654509 + 0.0339086i
\(58\) 2.54344i 0.333971i
\(59\) 8.67545 5.00877i 1.12945 0.652087i 0.185652 0.982616i \(-0.440560\pi\)
0.943796 + 0.330529i \(0.107227\pi\)
\(60\) 5.50246 + 3.56866i 0.710365 + 0.460712i
\(61\) 3.64451i 0.466632i 0.972401 + 0.233316i \(0.0749576\pi\)
−0.972401 + 0.233316i \(0.925042\pi\)
\(62\) 0.824954 + 1.42886i 0.104769 + 0.181466i
\(63\) 7.71067 1.88296i 0.971453 0.237231i
\(64\) 1.00000 0.125000
\(65\) −3.73603 13.1312i −0.463397 1.62873i
\(66\) −5.47423 + 8.44064i −0.673832 + 1.03897i
\(67\) 10.6760i 1.30428i 0.758099 + 0.652139i \(0.226128\pi\)
−0.758099 + 0.652139i \(0.773872\pi\)
\(68\) −2.26972 + 3.93127i −0.275244 + 0.476737i
\(69\) −7.04644 4.57002i −0.848292 0.550166i
\(70\) 3.36958 + 9.43442i 0.402741 + 1.12763i
\(71\) 6.77969 11.7428i 0.804602 1.39361i −0.111958 0.993713i \(-0.535712\pi\)
0.916560 0.399898i \(-0.130954\pi\)
\(72\) 2.98394 + 0.310014i 0.351661 + 0.0365355i
\(73\) −2.19097 + 3.79486i −0.256433 + 0.444155i −0.965284 0.261203i \(-0.915881\pi\)
0.708851 + 0.705359i \(0.249214\pi\)
\(74\) 0.865515 0.499705i 0.100614 0.0580895i
\(75\) −8.80032 + 13.5691i −1.01617 + 1.56682i
\(76\) 1.42838 + 2.47403i 0.163847 + 0.283791i
\(77\) −14.4722 + 5.16884i −1.64926 + 0.589044i
\(78\) −4.25239 4.57353i −0.481488 0.517851i
\(79\) −8.40177 14.5523i −0.945273 1.63726i −0.755203 0.655491i \(-0.772462\pi\)
−0.190071 0.981770i \(-0.560872\pi\)
\(80\) 3.78649i 0.423342i
\(81\) 8.80778 + 1.85013i 0.978643 + 0.205570i
\(82\) 4.02657i 0.444660i
\(83\) 11.9716i 1.31405i 0.753867 + 0.657027i \(0.228186\pi\)
−0.753867 + 0.657027i \(0.771814\pi\)
\(84\) 3.33446 + 3.14346i 0.363820 + 0.342980i
\(85\) −14.8857 8.59427i −1.61458 0.932180i
\(86\) −0.445979 0.772459i −0.0480912 0.0832963i
\(87\) 3.92402 2.00235i 0.420699 0.214674i
\(88\) −5.80837 −0.619175
\(89\) 1.89510 + 1.09414i 0.200880 + 0.115978i 0.597066 0.802192i \(-0.296333\pi\)
−0.396186 + 0.918170i \(0.629666\pi\)
\(90\) −1.17386 + 11.2986i −0.123736 + 1.19098i
\(91\) −0.920344 9.49489i −0.0964782 0.995335i
\(92\) 4.84897i 0.505540i
\(93\) −1.55499 + 2.39762i −0.161245 + 0.248622i
\(94\) 7.19940i 0.742561i
\(95\) −9.36788 + 5.40855i −0.961125 + 0.554906i
\(96\) 0.787258 + 1.54280i 0.0803492 + 0.157461i
\(97\) −6.30970 + 10.9287i −0.640653 + 1.10964i 0.344634 + 0.938737i \(0.388003\pi\)
−0.985287 + 0.170907i \(0.945330\pi\)
\(98\) 1.13233 + 6.90781i 0.114383 + 0.697794i
\(99\) −17.3318 1.80068i −1.74191 0.180975i
\(100\) −9.33748 −0.933748
\(101\) 9.69158 0.964348 0.482174 0.876076i \(-0.339847\pi\)
0.482174 + 0.876076i \(0.339847\pi\)
\(102\) −7.85202 0.406795i −0.777465 0.0402787i
\(103\) 2.94432 1.69990i 0.290112 0.167496i −0.347880 0.937539i \(-0.613098\pi\)
0.637992 + 0.770043i \(0.279765\pi\)
\(104\) 0.879475 3.49664i 0.0862397 0.342874i
\(105\) −11.9027 + 12.6259i −1.16158 + 1.23216i
\(106\) 5.41458 3.12611i 0.525910 0.303634i
\(107\) −7.66260 4.42400i −0.740771 0.427684i 0.0815784 0.996667i \(-0.474004\pi\)
−0.822350 + 0.568982i \(0.807337\pi\)
\(108\) 1.87084 + 4.84768i 0.180022 + 0.466468i
\(109\) −2.56093 1.47855i −0.245292 0.141620i 0.372314 0.928107i \(-0.378564\pi\)
−0.617607 + 0.786487i \(0.711898\pi\)
\(110\) 21.9933i 2.09698i
\(111\) 1.45233 + 0.941917i 0.137849 + 0.0894028i
\(112\) −0.475130 + 2.60274i −0.0448955 + 0.245936i
\(113\) 8.71628 + 5.03235i 0.819959 + 0.473403i 0.850402 0.526133i \(-0.176359\pi\)
−0.0304434 + 0.999536i \(0.509692\pi\)
\(114\) −2.69242 + 4.15141i −0.252169 + 0.388815i
\(115\) 18.3606 1.71213
\(116\) 2.20269 + 1.27172i 0.204514 + 0.118076i
\(117\) 3.70831 10.1611i 0.342833 0.939396i
\(118\) 10.0175i 0.922190i
\(119\) −9.15367 7.77536i −0.839115 0.712766i
\(120\) −5.84178 + 2.98094i −0.533279 + 0.272122i
\(121\) 22.7372 2.06702
\(122\) −3.15624 1.82226i −0.285753 0.164979i
\(123\) −6.21218 + 3.16995i −0.560133 + 0.285824i
\(124\) −1.64991 −0.148166
\(125\) 16.4238i 1.46899i
\(126\) −2.22464 + 7.61912i −0.198187 + 0.678765i
\(127\) −0.534780 0.926266i −0.0474540 0.0821928i 0.841323 0.540533i \(-0.181777\pi\)
−0.888777 + 0.458340i \(0.848444\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 0.840647 1.29618i 0.0740148 0.114122i
\(130\) 13.2400 + 3.33012i 1.16122 + 0.292071i
\(131\) 6.27140 + 10.8624i 0.547935 + 0.949051i 0.998416 + 0.0562650i \(0.0179192\pi\)
−0.450481 + 0.892786i \(0.648747\pi\)
\(132\) −4.57269 8.96114i −0.398001 0.779967i
\(133\) −7.11792 + 2.54222i −0.617202 + 0.220439i
\(134\) −9.24567 5.33799i −0.798704 0.461132i
\(135\) −18.3557 + 7.08391i −1.57980 + 0.609686i
\(136\) −2.26972 3.93127i −0.194627 0.337104i
\(137\) 7.77614 + 13.4687i 0.664360 + 1.15071i 0.979458 + 0.201647i \(0.0646292\pi\)
−0.315098 + 0.949059i \(0.602037\pi\)
\(138\) 7.48098 3.81739i 0.636823 0.324958i
\(139\) 7.60046 + 4.38812i 0.644662 + 0.372196i 0.786408 0.617707i \(-0.211938\pi\)
−0.141746 + 0.989903i \(0.545272\pi\)
\(140\) −9.85524 1.79907i −0.832920 0.152049i
\(141\) −11.1072 + 5.66778i −0.935396 + 0.477313i
\(142\) 6.77969 + 11.7428i 0.568939 + 0.985432i
\(143\) −5.10832 + 20.3098i −0.427179 + 1.69839i
\(144\) −1.76045 + 2.42916i −0.146704 + 0.202430i
\(145\) −4.81536 + 8.34045i −0.399894 + 0.692637i
\(146\) −2.19097 3.79486i −0.181326 0.314065i
\(147\) −9.76592 + 7.18519i −0.805479 + 0.592624i
\(148\) 0.999410i 0.0821510i
\(149\) −3.07378 −0.251814 −0.125907 0.992042i \(-0.540184\pi\)
−0.125907 + 0.992042i \(0.540184\pi\)
\(150\) −7.35101 14.4058i −0.600207 1.17623i
\(151\) −10.9434 6.31820i −0.890564 0.514167i −0.0164372 0.999865i \(-0.505232\pi\)
−0.874127 + 0.485697i \(0.838566\pi\)
\(152\) −2.85676 −0.231714
\(153\) −5.55396 12.4343i −0.449011 1.00526i
\(154\) 2.75973 15.1177i 0.222385 1.21822i
\(155\) 6.24735i 0.501799i
\(156\) 6.08699 1.39591i 0.487349 0.111762i
\(157\) 8.31434 + 4.80029i 0.663556 + 0.383104i 0.793631 0.608400i \(-0.208188\pi\)
−0.130074 + 0.991504i \(0.541522\pi\)
\(158\) 16.8035 1.33682
\(159\) 9.08562 + 5.89254i 0.720536 + 0.467309i
\(160\) −3.27919 1.89324i −0.259243 0.149674i
\(161\) 12.6206 + 2.30389i 0.994643 + 0.181572i
\(162\) −6.00615 + 6.70270i −0.471888 + 0.526614i
\(163\) 6.37701i 0.499486i 0.968312 + 0.249743i \(0.0803462\pi\)
−0.968312 + 0.249743i \(0.919654\pi\)
\(164\) −3.48711 2.01328i −0.272297 0.157211i
\(165\) 33.9313 17.3144i 2.64154 1.34793i
\(166\) −10.3677 5.98580i −0.804691 0.464589i
\(167\) 6.39087 3.68977i 0.494540 0.285523i −0.231916 0.972736i \(-0.574499\pi\)
0.726456 + 0.687213i \(0.241166\pi\)
\(168\) −4.38955 + 1.31600i −0.338661 + 0.101531i
\(169\) −11.4530 6.15043i −0.881004 0.473110i
\(170\) 14.8857 8.59427i 1.14168 0.659151i
\(171\) −8.52441 0.885637i −0.651878 0.0677264i
\(172\) 0.891958 0.0680112
\(173\) 5.09827 0.387615 0.193807 0.981040i \(-0.437916\pi\)
0.193807 + 0.981040i \(0.437916\pi\)
\(174\) −0.227927 + 4.39948i −0.0172791 + 0.333523i
\(175\) 4.43651 24.3030i 0.335369 1.83714i
\(176\) 2.90419 5.03020i 0.218911 0.379165i
\(177\) −15.4550 + 7.88639i −1.16167 + 0.592778i
\(178\) −1.89510 + 1.09414i −0.142044 + 0.0820089i
\(179\) 8.59359i 0.642315i −0.947026 0.321158i \(-0.895928\pi\)
0.947026 0.321158i \(-0.104072\pi\)
\(180\) −9.19798 6.66592i −0.685577 0.496848i
\(181\) 2.78775i 0.207211i 0.994618 + 0.103606i \(0.0330380\pi\)
−0.994618 + 0.103606i \(0.966962\pi\)
\(182\) 8.68299 + 3.95040i 0.643626 + 0.292823i
\(183\) 0.326597 6.30402i 0.0241427 0.466007i
\(184\) 4.19933 + 2.42448i 0.309579 + 0.178735i
\(185\) −3.78425 −0.278224
\(186\) −1.29890 2.54547i −0.0952402 0.186643i
\(187\) 13.1834 + 22.8343i 0.964065 + 1.66981i
\(188\) −6.23486 3.59970i −0.454724 0.262535i
\(189\) −13.5061 + 2.56604i −0.982426 + 0.186652i
\(190\) 10.8171i 0.784755i
\(191\) 19.5216i 1.41253i 0.707946 + 0.706267i \(0.249622\pi\)
−0.707946 + 0.706267i \(0.750378\pi\)
\(192\) −1.72973 0.0896134i −0.124833 0.00646729i
\(193\) 6.34486i 0.456713i −0.973578 0.228357i \(-0.926665\pi\)
0.973578 0.228357i \(-0.0733352\pi\)
\(194\) −6.30970 10.9287i −0.453010 0.784637i
\(195\) 5.28559 + 23.0483i 0.378509 + 1.65052i
\(196\) −6.54850 2.47328i −0.467750 0.176663i
\(197\) 4.25750 + 7.37421i 0.303334 + 0.525391i 0.976889 0.213747i \(-0.0685668\pi\)
−0.673555 + 0.739137i \(0.735233\pi\)
\(198\) 10.2253 14.1095i 0.726684 1.00272i
\(199\) −1.46494 + 0.845782i −0.103847 + 0.0599559i −0.551024 0.834489i \(-0.685763\pi\)
0.447177 + 0.894445i \(0.352429\pi\)
\(200\) 4.66874 8.08650i 0.330130 0.571802i
\(201\) 0.956711 18.4666i 0.0674812 1.30253i
\(202\) −4.84579 + 8.39315i −0.340948 + 0.590540i
\(203\) −4.35652 + 5.12879i −0.305768 + 0.359970i
\(204\) 4.27830 6.59665i 0.299541 0.461858i
\(205\) 7.62327 13.2039i 0.532432 0.922200i
\(206\) 3.39980i 0.236876i
\(207\) 11.7789 + 8.53636i 0.818691 + 0.593318i
\(208\) 2.58845 + 2.50997i 0.179476 + 0.174035i
\(209\) 16.5932 1.14777
\(210\) −4.98301 16.6210i −0.343860 1.14696i
\(211\) 11.5387 + 19.9857i 0.794360 + 1.37587i 0.923245 + 0.384213i \(0.125527\pi\)
−0.128885 + 0.991660i \(0.541140\pi\)
\(212\) 6.25221i 0.429404i
\(213\) −12.7794 + 19.7043i −0.875627 + 1.35012i
\(214\) 7.66260 4.42400i 0.523804 0.302419i
\(215\) 3.37739i 0.230336i
\(216\) −5.13363 0.803642i −0.349299 0.0546809i
\(217\) 0.783920 4.29428i 0.0532160 0.291515i
\(218\) 2.56093 1.47855i 0.173448 0.100140i
\(219\) 4.12985 6.36775i 0.279070 0.430293i
\(220\) 19.0468 + 10.9967i 1.28413 + 0.741395i
\(221\) −15.7424 + 4.47895i −1.05895 + 0.301287i
\(222\) −1.54189 + 0.786794i −0.103485 + 0.0528061i
\(223\) −8.68120 15.0363i −0.581336 1.00690i −0.995321 0.0966199i \(-0.969197\pi\)
0.413985 0.910284i \(-0.364136\pi\)
\(224\) −2.01647 1.71284i −0.134731 0.114444i
\(225\) 16.4382 22.6822i 1.09588 1.51215i
\(226\) −8.71628 + 5.03235i −0.579798 + 0.334747i
\(227\) −16.5863 + 9.57612i −1.10087 + 0.635589i −0.936450 0.350801i \(-0.885909\pi\)
−0.164423 + 0.986390i \(0.552576\pi\)
\(228\) −2.24901 4.40741i −0.148944 0.291888i
\(229\) 8.79153 + 15.2274i 0.580960 + 1.00625i 0.995366 + 0.0961607i \(0.0306563\pi\)
−0.414405 + 0.910092i \(0.636010\pi\)
\(230\) −9.18028 + 15.9007i −0.605330 + 1.04846i
\(231\) 25.4961 7.64381i 1.67752 0.502926i
\(232\) −2.20269 + 1.27172i −0.144614 + 0.0834927i
\(233\) −1.22176 + 0.705386i −0.0800405 + 0.0462114i −0.539486 0.841995i \(-0.681381\pi\)
0.459446 + 0.888206i \(0.348048\pi\)
\(234\) 6.94564 + 8.29205i 0.454050 + 0.542068i
\(235\) 13.6302 23.6082i 0.889137 1.54003i
\(236\) −8.67545 5.00877i −0.564724 0.326043i
\(237\) 13.2287 + 25.9245i 0.859298 + 1.68398i
\(238\) 11.3105 4.03963i 0.733150 0.261850i
\(239\) −22.2321 −1.43807 −0.719037 0.694972i \(-0.755417\pi\)
−0.719037 + 0.694972i \(0.755417\pi\)
\(240\) 0.339320 6.54960i 0.0219030 0.422775i
\(241\) 6.09368 + 10.5546i 0.392528 + 0.679879i 0.992782 0.119930i \(-0.0382671\pi\)
−0.600254 + 0.799810i \(0.704934\pi\)
\(242\) −11.3686 + 19.6910i −0.730801 + 1.26578i
\(243\) −15.0693 3.98952i −0.966696 0.255928i
\(244\) 3.15624 1.82226i 0.202058 0.116658i
\(245\) 9.36503 24.7958i 0.598310 1.58415i
\(246\) 0.360834 6.96487i 0.0230059 0.444064i
\(247\) −2.51245 + 9.98909i −0.159864 + 0.635591i
\(248\) 0.824954 1.42886i 0.0523846 0.0907328i
\(249\) 1.07282 20.7077i 0.0679870 1.31229i
\(250\) 14.2234 + 8.21191i 0.899570 + 0.519367i
\(251\) 4.15920 7.20395i 0.262527 0.454709i −0.704386 0.709817i \(-0.748778\pi\)
0.966913 + 0.255108i \(0.0821109\pi\)
\(252\) −5.48603 5.73616i −0.345587 0.361344i
\(253\) −24.3913 14.0823i −1.53347 0.885347i
\(254\) 1.06956 0.0671101
\(255\) 24.9781 + 16.1997i 1.56419 + 1.01447i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −11.0205 + 19.0880i −0.687438 + 1.19068i 0.285225 + 0.958460i \(0.407932\pi\)
−0.972664 + 0.232218i \(0.925402\pi\)
\(258\) 0.702201 + 1.37611i 0.0437171 + 0.0856729i
\(259\) −2.60120 0.474849i −0.161631 0.0295057i
\(260\) −9.50397 + 9.80111i −0.589411 + 0.607839i
\(261\) −6.96694 + 3.11188i −0.431243 + 0.192620i
\(262\) −12.5428 −0.774897
\(263\) 17.2999i 1.06676i 0.845876 + 0.533379i \(0.179078\pi\)
−0.845876 + 0.533379i \(0.820922\pi\)
\(264\) 10.0469 + 0.520508i 0.618345 + 0.0320350i
\(265\) −23.6739 −1.45428
\(266\) 1.35733 7.43541i 0.0832235 0.455894i
\(267\) −3.17996 2.06239i −0.194610 0.126216i
\(268\) 9.24567 5.33799i 0.564769 0.326070i
\(269\) −3.78505 6.55589i −0.230778 0.399720i 0.727259 0.686363i \(-0.240794\pi\)
−0.958037 + 0.286643i \(0.907461\pi\)
\(270\) 3.04298 19.4384i 0.185190 1.18298i
\(271\) −1.03693 + 1.79602i −0.0629893 + 0.109101i −0.895800 0.444457i \(-0.853397\pi\)
0.832811 + 0.553557i \(0.186730\pi\)
\(272\) 4.53944 0.275244
\(273\) 0.741078 + 16.5061i 0.0448521 + 0.998994i
\(274\) −15.5523 −0.939547
\(275\) −27.1178 + 46.9694i −1.63526 + 2.83236i
\(276\) −0.434532 + 8.38741i −0.0261558 + 0.504863i
\(277\) 11.8359 + 20.5004i 0.711150 + 1.23175i 0.964426 + 0.264354i \(0.0851586\pi\)
−0.253276 + 0.967394i \(0.581508\pi\)
\(278\) −7.60046 + 4.38812i −0.455845 + 0.263182i
\(279\) 2.90458 4.00789i 0.173893 0.239946i
\(280\) 6.48566 7.63535i 0.387592 0.456299i
\(281\) 25.8285 1.54080 0.770400 0.637561i \(-0.220056\pi\)
0.770400 + 0.637561i \(0.220056\pi\)
\(282\) 0.645162 12.4530i 0.0384189 0.741566i
\(283\) 16.8235i 1.00005i −0.866011 0.500026i \(-0.833324\pi\)
0.866011 0.500026i \(-0.166676\pi\)
\(284\) −13.5594 −0.804602
\(285\) 16.6886 8.51585i 0.988547 0.504435i
\(286\) −15.0347 14.5788i −0.889018 0.862065i
\(287\) 6.89688 8.11946i 0.407110 0.479277i
\(288\) −1.22349 2.73917i −0.0720948 0.161407i
\(289\) −1.80327 + 3.12336i −0.106075 + 0.183727i
\(290\) −4.81536 8.34045i −0.282768 0.489768i
\(291\) 11.8934 18.3383i 0.697206 1.07501i
\(292\) 4.38193 0.256433
\(293\) −23.6154 13.6344i −1.37963 0.796529i −0.387514 0.921864i \(-0.626666\pi\)
−0.992115 + 0.125335i \(0.960000\pi\)
\(294\) −1.33960 12.0501i −0.0781268 0.702777i
\(295\) 18.9657 32.8495i 1.10422 1.91257i
\(296\) −0.865515 0.499705i −0.0503070 0.0290448i
\(297\) 29.8180 + 4.66785i 1.73022 + 0.270856i
\(298\) 1.53689 2.66197i 0.0890297 0.154204i
\(299\) 12.1708 12.5513i 0.703854 0.725860i
\(300\) 16.1513 + 0.836763i 0.932498 + 0.0483106i
\(301\) −0.423796 + 2.32153i −0.0244272 + 0.133811i
\(302\) 10.9434 6.31820i 0.629724 0.363571i
\(303\) −16.7638 0.868495i −0.963056 0.0498937i
\(304\) 1.42838 2.47403i 0.0819233 0.141895i
\(305\) 6.89995 + 11.9511i 0.395090 + 0.684316i
\(306\) 13.5454 + 1.40729i 0.774340 + 0.0804495i
\(307\) 22.9818 1.31164 0.655821 0.754917i \(-0.272323\pi\)
0.655821 + 0.754917i \(0.272323\pi\)
\(308\) 11.7124 + 9.94884i 0.667378 + 0.566888i
\(309\) −5.24521 + 2.67652i −0.298390 + 0.152262i
\(310\) 5.41037 + 3.12368i 0.307288 + 0.177413i
\(311\) 15.9662 27.6543i 0.905360 1.56813i 0.0849258 0.996387i \(-0.472935\pi\)
0.820434 0.571742i \(-0.193732\pi\)
\(312\) −1.83460 + 5.96944i −0.103864 + 0.337953i
\(313\) −5.32050 + 3.07179i −0.300732 + 0.173628i −0.642772 0.766058i \(-0.722216\pi\)
0.342039 + 0.939686i \(0.388882\pi\)
\(314\) −8.31434 + 4.80029i −0.469205 + 0.270896i
\(315\) 21.7199 20.7728i 1.22378 1.17041i
\(316\) −8.40177 + 14.5523i −0.472637 + 0.818631i
\(317\) −7.01958 12.1583i −0.394259 0.682877i 0.598747 0.800938i \(-0.295665\pi\)
−0.993006 + 0.118061i \(0.962332\pi\)
\(318\) −9.64590 + 4.92211i −0.540915 + 0.276018i
\(319\) 12.7940 7.38664i 0.716328 0.413572i
\(320\) 3.27919 1.89324i 0.183313 0.105836i
\(321\) 12.8578 + 8.33901i 0.717651 + 0.465438i
\(322\) −8.30553 + 9.77782i −0.462849 + 0.544896i
\(323\) 6.48406 + 11.2307i 0.360783 + 0.624894i
\(324\) −2.80163 8.55283i −0.155646 0.475157i
\(325\) −24.1696 23.4368i −1.34069 1.30004i
\(326\) −5.52266 3.18851i −0.305872 0.176595i
\(327\) 4.29722 + 2.78699i 0.237637 + 0.154121i
\(328\) 3.48711 2.01328i 0.192543 0.111165i
\(329\) 12.3314 14.5174i 0.679854 0.800370i
\(330\) −1.97090 + 38.0425i −0.108494 + 2.09417i
\(331\) 8.26910i 0.454511i −0.973835 0.227256i \(-0.927025\pi\)
0.973835 0.227256i \(-0.0729753\pi\)
\(332\) 10.3677 5.98580i 0.569002 0.328514i
\(333\) −2.42773 1.75941i −0.133039 0.0964151i
\(334\) 7.37954i 0.403790i
\(335\) 20.2122 + 35.0086i 1.10431 + 1.91272i
\(336\) 1.05509 4.45946i 0.0575597 0.243284i
\(337\) 8.78687 0.478651 0.239326 0.970939i \(-0.423074\pi\)
0.239326 + 0.970939i \(0.423074\pi\)
\(338\) 11.0529 6.84342i 0.601201 0.372233i
\(339\) −14.6259 9.48570i −0.794368 0.515193i
\(340\) 17.1885i 0.932180i
\(341\) −4.79164 + 8.29936i −0.259482 + 0.449436i
\(342\) 5.02919 6.93954i 0.271947 0.375247i
\(343\) 9.54868 15.8689i 0.515580 0.856841i
\(344\) −0.445979 + 0.772459i −0.0240456 + 0.0416482i
\(345\) −31.7588 1.64535i −1.70984 0.0885827i
\(346\) −2.54914 + 4.41523i −0.137042 + 0.237364i
\(347\) 14.2076 8.20275i 0.762703 0.440347i −0.0675627 0.997715i \(-0.521522\pi\)
0.830265 + 0.557369i \(0.188189\pi\)
\(348\) −3.69609 2.39713i −0.198131 0.128500i
\(349\) −4.38530 7.59556i −0.234740 0.406581i 0.724457 0.689320i \(-0.242090\pi\)
−0.959197 + 0.282739i \(0.908757\pi\)
\(350\) 18.8288 + 15.9936i 1.00644 + 0.854897i
\(351\) −7.32495 + 17.2437i −0.390977 + 0.920400i
\(352\) 2.90419 + 5.03020i 0.154794 + 0.268110i
\(353\) 19.5330i 1.03964i −0.854276 0.519819i \(-0.825999\pi\)
0.854276 0.519819i \(-0.174001\pi\)
\(354\) 0.897706 17.3277i 0.0477126 0.920955i
\(355\) 51.3424i 2.72497i
\(356\) 2.18827i 0.115978i
\(357\) 15.1366 + 14.2696i 0.801114 + 0.755226i
\(358\) 7.44227 + 4.29680i 0.393336 + 0.227093i
\(359\) −1.54798 2.68118i −0.0816994 0.141507i 0.822281 0.569082i \(-0.192701\pi\)
−0.903980 + 0.427575i \(0.859368\pi\)
\(360\) 10.3718 4.63273i 0.546644 0.244166i
\(361\) −10.8389 −0.570468
\(362\) −2.41426 1.39387i −0.126891 0.0732603i
\(363\) −39.3292 2.03756i −2.06425 0.106944i
\(364\) −7.76265 + 5.54449i −0.406873 + 0.290610i
\(365\) 16.5921i 0.868472i
\(366\) 5.29615 + 3.43485i 0.276834 + 0.179543i
\(367\) 8.10993i 0.423335i 0.977342 + 0.211667i \(0.0678893\pi\)
−0.977342 + 0.211667i \(0.932111\pi\)
\(368\) −4.19933 + 2.42448i −0.218905 + 0.126385i
\(369\) 11.0295 4.92646i 0.574171 0.256461i
\(370\) 1.89213 3.27726i 0.0983670 0.170377i
\(371\) −16.2729 2.97061i −0.844846 0.154226i
\(372\) 2.85390 + 0.147854i 0.147968 + 0.00766586i
\(373\) −20.3888 −1.05569 −0.527845 0.849341i \(-0.677000\pi\)
−0.527845 + 0.849341i \(0.677000\pi\)
\(374\) −26.3668 −1.36339
\(375\) −1.47179 + 28.4088i −0.0760031 + 1.46702i
\(376\) 6.23486 3.59970i 0.321538 0.185640i
\(377\) 2.50955 + 8.82046i 0.129248 + 0.454277i
\(378\) 4.53081 12.9797i 0.233040 0.667602i
\(379\) −16.2771 + 9.39758i −0.836098 + 0.482721i −0.855936 0.517082i \(-0.827018\pi\)
0.0198382 + 0.999803i \(0.493685\pi\)
\(380\) 9.36788 + 5.40855i 0.480562 + 0.277453i
\(381\) 0.842019 + 1.65011i 0.0431379 + 0.0845379i
\(382\) −16.9062 9.76080i −0.864997 0.499406i
\(383\) 24.7285i 1.26357i 0.775144 + 0.631785i \(0.217677\pi\)
−0.775144 + 0.631785i \(0.782323\pi\)
\(384\) 0.942473 1.45318i 0.0480954 0.0741575i
\(385\) −37.6711 + 44.3490i −1.91990 + 2.26023i
\(386\) 5.49481 + 3.17243i 0.279679 + 0.161472i
\(387\) −1.57025 + 2.16671i −0.0798202 + 0.110140i
\(388\) 12.6194 0.640653
\(389\) −7.93751 4.58272i −0.402448 0.232353i 0.285092 0.958500i \(-0.407976\pi\)
−0.687540 + 0.726147i \(0.741309\pi\)
\(390\) −22.6032 6.94670i −1.14456 0.351760i
\(391\) 22.0116i 1.11318i
\(392\) 5.41617 4.43453i 0.273558 0.223978i
\(393\) −9.87442 19.3510i −0.498099 0.976129i
\(394\) −8.51500 −0.428980
\(395\) −55.1021 31.8132i −2.77249 1.60070i
\(396\) 7.10648 + 15.9101i 0.357114 + 0.799515i
\(397\) 3.38446 0.169861 0.0849306 0.996387i \(-0.472933\pi\)
0.0849306 + 0.996387i \(0.472933\pi\)
\(398\) 1.69156i 0.0847905i
\(399\) 12.5399 3.75950i 0.627781 0.188210i
\(400\) 4.66874 + 8.08650i 0.233437 + 0.404325i
\(401\) 3.62565 6.27981i 0.181056 0.313599i −0.761184 0.648536i \(-0.775382\pi\)
0.942240 + 0.334937i \(0.108715\pi\)
\(402\) 15.5142 + 10.0618i 0.773776 + 0.501838i
\(403\) −4.27070 4.14122i −0.212738 0.206289i
\(404\) −4.84579 8.39315i −0.241087 0.417575i
\(405\) 32.3852 10.6084i 1.60923 0.527133i
\(406\) −2.26340 6.33725i −0.112331 0.314513i
\(407\) 5.02723 + 2.90247i 0.249191 + 0.143870i
\(408\) 3.57371 + 7.00344i 0.176925 + 0.346722i
\(409\) 0.787302 + 1.36365i 0.0389296 + 0.0674280i 0.884834 0.465907i \(-0.154272\pi\)
−0.845904 + 0.533335i \(0.820939\pi\)
\(410\) 7.62327 + 13.2039i 0.376486 + 0.652094i
\(411\) −12.2437 23.9940i −0.603935 1.18354i
\(412\) −2.94432 1.69990i −0.145056 0.0837482i
\(413\) 17.1585 20.2001i 0.844314 0.993983i
\(414\) −13.2822 + 5.93266i −0.652783 + 0.291574i
\(415\) 22.6652 + 39.2572i 1.11259 + 1.92706i
\(416\) −3.46792 + 0.986674i −0.170029 + 0.0483757i
\(417\) −12.7535 8.27138i −0.624542 0.405051i
\(418\) −8.29658 + 14.3701i −0.405799 + 0.702864i
\(419\) 13.4922 + 23.3691i 0.659136 + 1.14166i 0.980840 + 0.194817i \(0.0624112\pi\)
−0.321704 + 0.946840i \(0.604255\pi\)
\(420\) 16.8857 + 3.99507i 0.823937 + 0.194940i
\(421\) 13.0461i 0.635827i 0.948120 + 0.317913i \(0.102982\pi\)
−0.948120 + 0.317913i \(0.897018\pi\)
\(422\) −23.0775 −1.12339
\(423\) 19.7204 8.80838i 0.958839 0.428278i
\(424\) −5.41458 3.12611i −0.262955 0.151817i
\(425\) −42.3870 −2.05607
\(426\) −10.6747 20.9194i −0.517193 1.01355i
\(427\) 3.24323 + 9.08068i 0.156951 + 0.439445i
\(428\) 8.84801i 0.427684i
\(429\) 10.6561 34.6727i 0.514479 1.67402i
\(430\) −2.92490 1.68869i −0.141051 0.0814361i
\(431\) −36.5042 −1.75835 −0.879173 0.476503i \(-0.841904\pi\)
−0.879173 + 0.476503i \(0.841904\pi\)
\(432\) 3.26279 4.04403i 0.156981 0.194569i
\(433\) 23.6502 + 13.6545i 1.13656 + 0.656192i 0.945576 0.325402i \(-0.105499\pi\)
0.190982 + 0.981594i \(0.438833\pi\)
\(434\) 3.32699 + 2.82603i 0.159701 + 0.135654i
\(435\) 9.07669 13.9952i 0.435194 0.671019i
\(436\) 2.95710i 0.141620i
\(437\) −11.9965 6.92618i −0.573870 0.331324i
\(438\) 3.44971 + 6.76043i 0.164834 + 0.323026i
\(439\) 0.394663 + 0.227859i 0.0188362 + 0.0108751i 0.509389 0.860537i \(-0.329872\pi\)
−0.490552 + 0.871412i \(0.663205\pi\)
\(440\) −19.0468 + 10.9967i −0.908020 + 0.524245i
\(441\) 17.5363 11.5533i 0.835062 0.550156i
\(442\) 3.99233 15.8728i 0.189896 0.754993i
\(443\) 23.2231 13.4079i 1.10337 0.637028i 0.166262 0.986082i \(-0.446830\pi\)
0.937103 + 0.349053i \(0.113497\pi\)
\(444\) 0.0895605 1.72871i 0.00425035 0.0820410i
\(445\) 8.28586 0.392787
\(446\) 17.3624 0.822133
\(447\) 5.31681 + 0.275452i 0.251477 + 0.0130284i
\(448\) 2.49160 0.889895i 0.117717 0.0420436i
\(449\) −0.402024 + 0.696326i −0.0189727 + 0.0328616i −0.875356 0.483479i \(-0.839373\pi\)
0.856383 + 0.516341i \(0.172706\pi\)
\(450\) 11.4243 + 25.5770i 0.538547 + 1.20571i
\(451\) −20.2544 + 11.6939i −0.953743 + 0.550644i
\(452\) 10.0647i 0.473403i
\(453\) 18.3630 + 11.9095i 0.862769 + 0.559555i
\(454\) 19.1522i 0.898859i
\(455\) −20.9941 29.3932i −0.984220 1.37797i
\(456\) 4.94143 + 0.256004i 0.231404 + 0.0119885i
\(457\) 13.1935 + 7.61727i 0.617166 + 0.356321i 0.775765 0.631022i \(-0.217364\pi\)
−0.158599 + 0.987343i \(0.550698\pi\)
\(458\) −17.5831 −0.821602
\(459\) 8.49258 + 22.0057i 0.396400 + 1.02714i
\(460\) −9.18028 15.9007i −0.428033 0.741374i
\(461\) 11.4420 + 6.60603i 0.532906 + 0.307673i 0.742199 0.670180i \(-0.233783\pi\)
−0.209293 + 0.977853i \(0.567116\pi\)
\(462\) −6.12834 + 25.9022i −0.285116 + 1.20508i
\(463\) 15.4572i 0.718355i 0.933269 + 0.359177i \(0.116943\pi\)
−0.933269 + 0.359177i \(0.883057\pi\)
\(464\) 2.54344i 0.118076i
\(465\) −0.559846 + 10.8062i −0.0259623 + 0.501127i
\(466\) 1.41077i 0.0653528i
\(467\) 0.665574 + 1.15281i 0.0307991 + 0.0533456i 0.881014 0.473090i \(-0.156861\pi\)
−0.850215 + 0.526436i \(0.823528\pi\)
\(468\) −10.6539 + 1.86907i −0.492479 + 0.0863978i
\(469\) 9.50050 + 26.6003i 0.438693 + 1.22829i
\(470\) 13.6302 + 23.6082i 0.628715 + 1.08897i
\(471\) −13.9514 9.04828i −0.642847 0.416923i
\(472\) 8.67545 5.00877i 0.399320 0.230547i
\(473\) 2.59041 4.48673i 0.119107 0.206300i
\(474\) −29.0656 1.50582i −1.33503 0.0691647i
\(475\) −13.3375 + 23.1012i −0.611966 + 1.05996i
\(476\) −2.15682 + 11.8150i −0.0988579 + 0.541539i
\(477\) −15.1876 11.0067i −0.695394 0.503962i
\(478\) 11.1160 19.2535i 0.508436 0.880636i
\(479\) 14.4012i 0.658007i −0.944329 0.329003i \(-0.893287\pi\)
0.944329 0.329003i \(-0.106713\pi\)
\(480\) 5.50246 + 3.56866i 0.251152 + 0.162886i
\(481\) −2.50849 + 2.58692i −0.114377 + 0.117953i
\(482\) −12.1874 −0.555119
\(483\) −21.6238 5.11608i −0.983916 0.232790i
\(484\) −11.3686 19.6910i −0.516754 0.895045i
\(485\) 47.7832i 2.16972i
\(486\) 10.9897 11.0556i 0.498502 0.501494i
\(487\) −26.4446 + 15.2678i −1.19832 + 0.691849i −0.960180 0.279382i \(-0.909870\pi\)
−0.238138 + 0.971231i \(0.576537\pi\)
\(488\) 3.64451i 0.164979i
\(489\) 0.571466 11.0305i 0.0258426 0.498817i
\(490\) 16.7913 + 20.5083i 0.758553 + 0.926469i
\(491\) −2.79101 + 1.61139i −0.125957 + 0.0727211i −0.561655 0.827372i \(-0.689835\pi\)
0.435698 + 0.900093i \(0.356502\pi\)
\(492\) 5.85134 + 3.79493i 0.263799 + 0.171089i
\(493\) 9.99898 + 5.77291i 0.450331 + 0.259999i
\(494\) −7.39458 7.17039i −0.332698 0.322611i
\(495\) −60.2435 + 26.9086i −2.70775 + 1.20945i
\(496\) 0.824954 + 1.42886i 0.0370415 + 0.0641578i
\(497\) 6.44247 35.2915i 0.288984 1.58304i
\(498\) 17.3970 + 11.2829i 0.779576 + 0.505600i
\(499\) −15.8562 + 9.15459i −0.709821 + 0.409816i −0.810995 0.585053i \(-0.801074\pi\)
0.101173 + 0.994869i \(0.467740\pi\)
\(500\) −14.2234 + 8.21191i −0.636092 + 0.367248i
\(501\) −11.3851 + 5.80960i −0.508650 + 0.259554i
\(502\) 4.15920 + 7.20395i 0.185634 + 0.321528i
\(503\) −4.84489 + 8.39159i −0.216023 + 0.374162i −0.953588 0.301113i \(-0.902642\pi\)
0.737566 + 0.675275i \(0.235975\pi\)
\(504\) 7.71067 1.88296i 0.343461 0.0838738i
\(505\) 31.7806 18.3485i 1.41422 0.816498i
\(506\) 24.3913 14.0823i 1.08432 0.626035i
\(507\) 19.2595 + 11.6649i 0.855346 + 0.518058i
\(508\) −0.534780 + 0.926266i −0.0237270 + 0.0410964i
\(509\) 28.1382 + 16.2456i 1.24721 + 0.720074i 0.970551 0.240895i \(-0.0774411\pi\)
0.276654 + 0.960970i \(0.410774\pi\)
\(510\) −26.5184 + 13.5318i −1.17426 + 0.599199i
\(511\) −2.08199 + 11.4050i −0.0921016 + 0.504529i
\(512\) 1.00000 0.0441942
\(513\) 14.6656 + 2.29582i 0.647501 + 0.101363i
\(514\) −11.0205 19.0880i −0.486092 0.841937i
\(515\) 6.43666 11.1486i 0.283633 0.491267i
\(516\) −1.54285 0.0799314i −0.0679201 0.00351878i
\(517\) −36.2144 + 20.9084i −1.59271 + 0.919550i
\(518\) 1.71183 2.01528i 0.0752136 0.0885465i
\(519\) −8.81864 0.456874i −0.387095 0.0200545i
\(520\) −3.73603 13.1312i −0.163836 0.575843i
\(521\) −21.3684 + 37.0111i −0.936166 + 1.62149i −0.163624 + 0.986523i \(0.552318\pi\)
−0.772542 + 0.634964i \(0.781015\pi\)
\(522\) 0.788504 7.58948i 0.0345119 0.332183i
\(523\) 0.432713 + 0.249827i 0.0189212 + 0.0109242i 0.509431 0.860512i \(-0.329856\pi\)
−0.490510 + 0.871436i \(0.663189\pi\)
\(524\) 6.27140 10.8624i 0.273967 0.474526i
\(525\) −9.85185 + 41.6401i −0.429970 + 1.81732i
\(526\) −14.9822 8.64996i −0.653254 0.377156i
\(527\) −7.48966 −0.326255
\(528\) −5.47423 + 8.44064i −0.238235 + 0.367332i
\(529\) 0.256247 + 0.443834i 0.0111412 + 0.0192971i
\(530\) 11.8370 20.5022i 0.514165 0.890559i
\(531\) 27.4398 12.2564i 1.19079 0.531881i
\(532\) 5.76059 + 4.89319i 0.249753 + 0.212147i
\(533\) −3.97291 13.9638i −0.172086 0.604840i
\(534\) 3.37606 1.72273i 0.146096 0.0745500i
\(535\) −33.5029 −1.44845
\(536\) 10.6760i 0.461132i
\(537\) −0.770101 + 14.8646i −0.0332323 + 0.641455i
\(538\) 7.57009 0.326370
\(539\) −31.4591 + 25.7574i −1.35504 + 1.10945i
\(540\) 15.3127 + 12.3545i 0.658953 + 0.531653i
\(541\) 14.9336 8.62192i 0.642046 0.370685i −0.143356 0.989671i \(-0.545790\pi\)
0.785402 + 0.618986i \(0.212456\pi\)
\(542\) −1.03693 1.79602i −0.0445401 0.0771458i
\(543\) 0.249819 4.82205i 0.0107208 0.206934i
\(544\) −2.26972 + 3.93127i −0.0973135 + 0.168552i
\(545\) −11.1970 −0.479628
\(546\) −14.6652 7.61125i −0.627614 0.325731i
\(547\) 22.0489 0.942741 0.471370 0.881935i \(-0.343759\pi\)
0.471370 + 0.881935i \(0.343759\pi\)
\(548\) 7.77614 13.4687i 0.332180 0.575353i
\(549\) −1.12985 + 10.8750i −0.0482208 + 0.464134i
\(550\) −27.1178 46.9694i −1.15631 2.00278i
\(551\) 6.29256 3.63301i 0.268072 0.154771i
\(552\) −7.04644 4.57002i −0.299917 0.194513i
\(553\) −33.8839 28.7819i −1.44089 1.22393i
\(554\) −23.6718 −1.00572
\(555\) 6.54574 + 0.339120i 0.277851 + 0.0143948i
\(556\) 8.77625i 0.372196i
\(557\) −15.1946 −0.643815 −0.321908 0.946771i \(-0.604324\pi\)
−0.321908 + 0.946771i \(0.604324\pi\)
\(558\) 2.01864 + 4.51938i 0.0854560 + 0.191321i
\(559\) 2.30879 + 2.23879i 0.0976512 + 0.0946907i
\(560\) 3.36958 + 9.43442i 0.142391 + 0.398677i
\(561\) −20.7575 40.6786i −0.876381 1.71745i
\(562\) −12.9143 + 22.3682i −0.544755 + 0.943544i
\(563\) −1.31787 2.28262i −0.0555416 0.0962008i 0.836918 0.547329i \(-0.184355\pi\)
−0.892459 + 0.451128i \(0.851022\pi\)
\(564\) 10.4620 + 6.78524i 0.440532 + 0.285710i
\(565\) 38.1098 1.60329
\(566\) 14.5695 + 8.41173i 0.612404 + 0.353571i
\(567\) 23.5919 3.22822i 0.990767 0.135573i
\(568\) 6.77969 11.7428i 0.284470 0.492716i
\(569\) 38.3512 + 22.1421i 1.60777 + 0.928244i 0.989869 + 0.141984i \(0.0453481\pi\)
0.617896 + 0.786260i \(0.287985\pi\)
\(570\) −0.969357 + 18.7107i −0.0406019 + 0.783704i
\(571\) −1.88780 + 3.26977i −0.0790021 + 0.136836i −0.902820 0.430019i \(-0.858507\pi\)
0.823818 + 0.566855i \(0.191840\pi\)
\(572\) 20.1430 5.73097i 0.842220 0.239624i
\(573\) 1.74940 33.7671i 0.0730821 1.41064i
\(574\) 3.58322 + 10.0326i 0.149561 + 0.418753i
\(575\) 39.2112 22.6386i 1.63522 0.944094i
\(576\) 2.98394 + 0.310014i 0.124331 + 0.0129173i
\(577\) −11.1370 + 19.2899i −0.463640 + 0.803048i −0.999139 0.0414882i \(-0.986790\pi\)
0.535499 + 0.844536i \(0.320123\pi\)
\(578\) −1.80327 3.12336i −0.0750063 0.129915i
\(579\) −0.568585 + 10.9749i −0.0236296 + 0.456101i
\(580\) 9.63072 0.399894
\(581\) 10.6535 + 29.8285i 0.441981 + 1.23749i
\(582\) 9.93473 + 19.4692i 0.411808 + 0.807024i
\(583\) 31.4499 + 18.1576i 1.30252 + 0.752011i
\(584\) −2.19097 + 3.79486i −0.0906628 + 0.157033i
\(585\) −7.07721 40.3410i −0.292607 1.66790i
\(586\) 23.6154 13.6344i 0.975545 0.563231i
\(587\) −18.7811 + 10.8433i −0.775179 + 0.447550i −0.834719 0.550676i \(-0.814370\pi\)
0.0595402 + 0.998226i \(0.481037\pi\)
\(588\) 11.1055 + 4.86494i 0.457984 + 0.200627i
\(589\) −2.35670 + 4.08192i −0.0971061 + 0.168193i
\(590\) 18.9657 + 32.8495i 0.780804 + 1.35239i
\(591\) −6.70350 13.1369i −0.275745 0.540381i
\(592\) 0.865515 0.499705i 0.0355724 0.0205378i
\(593\) 2.83216 1.63515i 0.116303 0.0671475i −0.440720 0.897645i \(-0.645277\pi\)
0.557023 + 0.830497i \(0.311944\pi\)
\(594\) −18.9515 + 23.4893i −0.777589 + 0.963776i
\(595\) −44.7373 8.16679i −1.83405 0.334806i
\(596\) 1.53689 + 2.66197i 0.0629535 + 0.109039i
\(597\) 2.60974 1.33170i 0.106810 0.0545028i
\(598\) 4.78435 + 16.8158i 0.195647 + 0.687651i
\(599\) 17.7669 + 10.2577i 0.725935 + 0.419119i 0.816933 0.576732i \(-0.195672\pi\)
−0.0909981 + 0.995851i \(0.529006\pi\)
\(600\) −8.80032 + 13.5691i −0.359272 + 0.553955i
\(601\) 25.4328 14.6836i 1.03743 0.598958i 0.118322 0.992975i \(-0.462248\pi\)
0.919103 + 0.394017i \(0.128915\pi\)
\(602\) −1.79861 1.52779i −0.0733059 0.0622679i
\(603\) −3.30970 + 31.8565i −0.134782 + 1.29730i
\(604\) 12.6364i 0.514167i
\(605\) 74.5597 43.0470i 3.03128 1.75011i
\(606\) 9.13405 14.0836i 0.371045 0.572109i
\(607\) 7.33615i 0.297765i −0.988855 0.148883i \(-0.952432\pi\)
0.988855 0.148883i \(-0.0475677\pi\)
\(608\) 1.42838 + 2.47403i 0.0579286 + 0.100335i
\(609\) 7.99522 8.48102i 0.323983 0.343668i
\(610\) −13.7999 −0.558741
\(611\) −7.10346 24.9669i −0.287375 1.01005i
\(612\) −7.99146 + 11.0270i −0.323036 + 0.445741i
\(613\) 9.92949i 0.401048i −0.979689 0.200524i \(-0.935736\pi\)
0.979689 0.200524i \(-0.0642645\pi\)
\(614\) −11.4909 + 19.9028i −0.463735 + 0.803213i
\(615\) −14.3694 + 22.1560i −0.579432 + 0.893417i
\(616\) −14.4722 + 5.16884i −0.583100 + 0.208259i
\(617\) −9.05420 + 15.6823i −0.364508 + 0.631347i −0.988697 0.149927i \(-0.952096\pi\)
0.624189 + 0.781273i \(0.285430\pi\)
\(618\) 0.304668 5.88075i 0.0122555 0.236558i
\(619\) 24.1824 41.8852i 0.971973 1.68351i 0.282392 0.959299i \(-0.408872\pi\)
0.689582 0.724208i \(-0.257794\pi\)
\(620\) −5.41037 + 3.12368i −0.217286 + 0.125450i
\(621\) −19.6094 15.8212i −0.786898 0.634881i
\(622\) 15.9662 + 27.6543i 0.640186 + 1.10883i
\(623\) 5.69550 + 1.03971i 0.228185 + 0.0416552i
\(624\) −4.25239 4.57353i −0.170232 0.183088i
\(625\) −7.75058 13.4244i −0.310023 0.536976i
\(626\) 6.14358i 0.245547i
\(627\) −28.7017 1.48697i −1.14624 0.0593838i
\(628\) 9.60057i 0.383104i
\(629\) 4.53677i 0.180893i
\(630\) 7.12981 + 29.1964i 0.284058 + 1.16321i
\(631\) 12.4784 + 7.20438i 0.496756 + 0.286802i 0.727373 0.686243i \(-0.240741\pi\)
−0.230617 + 0.973045i \(0.574075\pi\)
\(632\) −8.40177 14.5523i −0.334205 0.578859i
\(633\) −18.1679 35.6039i −0.722111 1.41513i
\(634\) 14.0392 0.557566
\(635\) −3.50729 2.02494i −0.139183 0.0803571i
\(636\) 0.560282 10.8146i 0.0222166 0.428829i
\(637\) −10.7426 22.8385i −0.425637 0.904894i
\(638\) 14.7733i 0.584880i
\(639\) 23.8706 32.9379i 0.944307 1.30300i
\(640\) 3.78649i 0.149674i
\(641\) −6.94081 + 4.00728i −0.274146 + 0.158278i −0.630770 0.775970i \(-0.717261\pi\)
0.356624 + 0.934248i \(0.383928\pi\)
\(642\) −13.6507 + 6.96566i −0.538749 + 0.274913i
\(643\) 13.5619 23.4899i 0.534830 0.926353i −0.464342 0.885656i \(-0.653709\pi\)
0.999172 0.0406964i \(-0.0129576\pi\)
\(644\) −4.31507 12.0817i −0.170038 0.476086i
\(645\) 0.302659 5.84197i 0.0119172 0.230027i
\(646\) −12.9681 −0.510224
\(647\) 15.9375 0.626568 0.313284 0.949659i \(-0.398571\pi\)
0.313284 + 0.949659i \(0.398571\pi\)
\(648\) 8.80778 + 1.85013i 0.346002 + 0.0726798i
\(649\) −50.3902 + 29.0928i −1.97799 + 1.14199i
\(650\) 32.3816 9.21305i 1.27011 0.361366i
\(651\) −1.74080 + 7.35770i −0.0682272 + 0.288371i
\(652\) 5.52266 3.18851i 0.216284 0.124872i
\(653\) −36.6390 21.1535i −1.43379 0.827801i −0.436386 0.899760i \(-0.643742\pi\)
−0.997408 + 0.0719585i \(0.977075\pi\)
\(654\) −4.56221 + 2.32800i −0.178397 + 0.0910321i
\(655\) 41.1303 + 23.7466i 1.60709 + 0.927856i
\(656\) 4.02657i 0.157211i
\(657\) −7.71417 + 10.6444i −0.300958 + 0.415278i
\(658\) 6.40671 + 17.9380i 0.249760 + 0.699298i
\(659\) −32.3775 18.6932i −1.26125 0.728182i −0.287932 0.957651i \(-0.592968\pi\)
−0.973316 + 0.229469i \(0.926301\pi\)
\(660\) −31.9604 20.7281i −1.24406 0.806841i
\(661\) −20.9263 −0.813940 −0.406970 0.913442i \(-0.633415\pi\)
−0.406970 + 0.913442i \(0.633415\pi\)
\(662\) 7.16125 + 4.13455i 0.278330 + 0.160694i
\(663\) 27.6315 6.33665i 1.07312 0.246095i
\(664\) 11.9716i 0.464589i
\(665\) −18.5280 + 21.8124i −0.718485 + 0.845849i
\(666\) 2.73756 1.22277i 0.106078 0.0473813i
\(667\) −12.3331 −0.477539
\(668\) −6.39087 3.68977i −0.247270 0.142761i
\(669\) 13.6687 + 26.7867i 0.528462 + 1.03563i
\(670\) −40.4245 −1.56173
\(671\) 21.1687i 0.817208i
\(672\) 3.33446 + 3.14346i 0.128630 + 0.121262i
\(673\) 10.6922 + 18.5194i 0.412152 + 0.713869i 0.995125 0.0986232i \(-0.0314439\pi\)
−0.582973 + 0.812492i \(0.698111\pi\)
\(674\) −4.39343 + 7.60965i −0.169229 + 0.293113i
\(675\) −30.4662 + 37.7611i −1.17265 + 1.45342i
\(676\) 0.400097 + 12.9938i 0.0153884 + 0.499763i
\(677\) −12.4515 21.5666i −0.478550 0.828873i 0.521147 0.853467i \(-0.325504\pi\)
−0.999698 + 0.0245935i \(0.992171\pi\)
\(678\) 15.5278 7.92351i 0.596341 0.304301i
\(679\) −5.99585 + 32.8450i −0.230100 + 1.26048i
\(680\) −14.8857 8.59427i −0.570841 0.329575i
\(681\) 29.5480 15.0778i 1.13228 0.577781i
\(682\) −4.79164 8.29936i −0.183481 0.317799i
\(683\) 8.98836 + 15.5683i 0.343930 + 0.595704i 0.985159 0.171646i \(-0.0549084\pi\)
−0.641229 + 0.767350i \(0.721575\pi\)
\(684\) 3.49522 + 7.82518i 0.133643 + 0.299203i
\(685\) 50.9989 + 29.4442i 1.94857 + 1.12501i
\(686\) 8.96855 + 16.2039i 0.342421 + 0.618666i
\(687\) −13.8424 27.1271i −0.528121 1.03496i
\(688\) −0.445979 0.772459i −0.0170028 0.0294497i
\(689\) −15.6929 + 16.1835i −0.597851 + 0.616543i
\(690\) 17.3043 26.6813i 0.658764 1.01574i
\(691\) 10.5718 18.3109i 0.402170 0.696579i −0.591817 0.806072i \(-0.701589\pi\)
0.993988 + 0.109493i \(0.0349227\pi\)
\(692\) −2.54914 4.41523i −0.0969036 0.167842i
\(693\) −44.7865 + 10.9369i −1.70130 + 0.415460i
\(694\) 16.4055i 0.622744i
\(695\) 33.2312 1.26053
\(696\) 3.92402 2.00235i 0.148740 0.0758988i
\(697\) −15.8295 9.13918i −0.599586 0.346171i
\(698\) 8.77060 0.331972
\(699\) 2.17654 1.11064i 0.0823242 0.0420083i
\(700\) −23.2653 + 8.30938i −0.879346 + 0.314065i
\(701\) 22.8317i 0.862342i −0.902270 0.431171i \(-0.858100\pi\)
0.902270 0.431171i \(-0.141900\pi\)
\(702\) −11.2710 14.9654i −0.425397 0.564834i
\(703\) 2.47257 + 1.42754i 0.0932548 + 0.0538407i
\(704\) −5.80837 −0.218911
\(705\) −25.6922 + 39.6144i −0.967624 + 1.49197i
\(706\) 16.9161 + 9.76652i 0.636646 + 0.367568i
\(707\) 24.1476 8.62449i 0.908163 0.324357i
\(708\) 14.5573 + 9.44127i 0.547098 + 0.354825i
\(709\) 49.2396i 1.84923i −0.380902 0.924615i \(-0.624387\pi\)
0.380902 0.924615i \(-0.375613\pi\)
\(710\) 44.4639 + 25.6712i 1.66870 + 0.963424i
\(711\) −20.5590 46.0278i −0.771021 1.72618i
\(712\) 1.89510 + 1.09414i 0.0710218 + 0.0410045i
\(713\) 6.92851 4.00017i 0.259475 0.149808i
\(714\) −19.9261 + 5.97390i −0.745716 + 0.223568i
\(715\) 21.7002 + 76.2711i 0.811543 + 2.85238i
\(716\) −7.44227 + 4.29680i −0.278131 + 0.160579i
\(717\) 38.4555 + 1.99229i 1.43615 + 0.0744035i
\(718\) 3.09596 0.115540
\(719\) 49.6407 1.85129 0.925643 0.378398i \(-0.123525\pi\)
0.925643 + 0.378398i \(0.123525\pi\)
\(720\) −1.17386 + 11.2986i −0.0437473 + 0.421076i
\(721\) 5.82333 6.85562i 0.216872 0.255316i
\(722\) 5.41945 9.38676i 0.201691 0.349339i
\(723\) −9.59460 18.8026i −0.356827 0.699277i
\(724\) 2.41426 1.39387i 0.0897252 0.0518029i
\(725\) 23.7494i 0.882029i
\(726\) 21.4292 33.0413i 0.795312 1.22628i
\(727\) 24.4519i 0.906870i −0.891289 0.453435i \(-0.850198\pi\)
0.891289 0.453435i \(-0.149802\pi\)
\(728\) −0.920344 9.49489i −0.0341102 0.351904i
\(729\) 25.7083 + 8.25120i 0.952160 + 0.305600i
\(730\) −14.3692 8.29606i −0.531828 0.307051i
\(731\) 4.04899 0.149757
\(732\) −5.62274 + 2.86917i −0.207823 + 0.106048i
\(733\) −1.21258 2.10024i −0.0447875 0.0775743i 0.842763 0.538285i \(-0.180928\pi\)
−0.887550 + 0.460711i \(0.847594\pi\)
\(734\) −7.02340 4.05496i −0.259239 0.149671i
\(735\) −18.4210 + 42.0509i −0.679470 + 1.55107i
\(736\) 4.84897i 0.178735i
\(737\) 62.0101i 2.28417i
\(738\) −1.24829 + 12.0150i −0.0459503 + 0.442279i
\(739\) 46.8162i 1.72216i −0.508468 0.861081i \(-0.669788\pi\)
0.508468 0.861081i \(-0.330212\pi\)
\(740\) 1.89213 + 3.27726i 0.0695560 + 0.120474i
\(741\) 5.24103 17.0533i 0.192534 0.626468i
\(742\) 10.7091 12.6074i 0.393142 0.462833i
\(743\) 3.32899 + 5.76598i 0.122129 + 0.211533i 0.920607 0.390490i \(-0.127695\pi\)
−0.798478 + 0.602024i \(0.794361\pi\)
\(744\) −1.55499 + 2.39762i −0.0570088 + 0.0879010i
\(745\) −10.0795 + 5.81942i −0.369285 + 0.213207i
\(746\) 10.1944 17.6572i 0.373243 0.646476i
\(747\) −3.71137 + 35.7226i −0.135792 + 1.30702i
\(748\) 13.1834 22.8343i 0.482032 0.834905i
\(749\) −23.0291 4.20395i −0.841463 0.153609i
\(750\) −23.8668 15.4790i −0.871494 0.565213i
\(751\) 2.99507 5.18762i 0.109292 0.189299i −0.806192 0.591654i \(-0.798475\pi\)
0.915484 + 0.402355i \(0.131808\pi\)
\(752\) 7.19940i 0.262535i
\(753\) −7.83987 + 12.0882i −0.285701 + 0.440518i
\(754\) −8.89352 2.23690i −0.323883 0.0814630i
\(755\) −47.8475 −1.74135
\(756\) 8.97532 + 10.4136i 0.326429 + 0.378740i
\(757\) 25.0828 + 43.4447i 0.911651 + 1.57903i 0.811732 + 0.584030i \(0.198525\pi\)
0.0999189 + 0.994996i \(0.468142\pi\)
\(758\) 18.7952i 0.682671i
\(759\) 40.9284 + 26.5444i 1.48561 + 0.963500i
\(760\) −9.36788 + 5.40855i −0.339809 + 0.196189i
\(761\) 8.35016i 0.302693i 0.988481 + 0.151347i \(0.0483610\pi\)
−0.988481 + 0.151347i \(0.951639\pi\)
\(762\) −1.85005 0.0958468i −0.0670202 0.00347216i
\(763\) −7.69657 1.40501i −0.278635 0.0508647i
\(764\) 16.9062 9.76080i 0.611645 0.353133i
\(765\) −41.7537 30.2596i −1.50961 1.09404i
\(766\) −21.4155 12.3643i −0.773775 0.446739i
\(767\) −9.88405 34.7401i −0.356893 1.25439i
\(768\) 0.787258 + 1.54280i 0.0284077 + 0.0556709i
\(769\) −23.1255 40.0545i −0.833926 1.44440i −0.894902 0.446263i \(-0.852755\pi\)
0.0609760 0.998139i \(-0.480579\pi\)
\(770\) −19.5718 54.7986i −0.705317 1.97481i
\(771\) 20.7730 32.0296i 0.748121 1.15352i
\(772\) −5.49481 + 3.17243i −0.197763 + 0.114178i
\(773\) −0.578776 + 0.334156i −0.0208171 + 0.0120188i −0.510372 0.859953i \(-0.670492\pi\)
0.489555 + 0.871972i \(0.337159\pi\)
\(774\) −1.09130 2.44323i −0.0392260 0.0878200i