Properties

Label 546.2.bn.e.173.2
Level $546$
Weight $2$
Character 546.173
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 173.2
Character \(\chi\) \(=\) 546.173
Dual form 546.2.bn.e.101.2

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 0.999298 0.0374664i \(-0.0119287\pi\)
0.467202 + 0.884151i \(0.345262\pi\)
\(6\) 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 0.447751 + 0.894158i \(0.352225\pi\)
−0.998239 + 0.0593155i \(0.981108\pi\)
\(18\) −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 0.00640879 0.999979i \(-0.497960\pi\)
0.869212 + 0.494440i \(0.164627\pi\)
\(24\) −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 0.281344 0.959607i \(-0.409220\pi\)
−0.690372 + 0.723454i \(0.742553\pi\)
\(30\) 0.339320 + 6.54960i 0.0619511 + 1.19579i
\(31\) 0.824954 + 1.42886i 0.148166 + 0.256631i 0.930550 0.366166i \(-0.119330\pi\)
−0.782384 + 0.622797i \(0.785996\pi\)
\(32\) −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 −0.569455 0.822023i \(-0.692846\pi\)
0.427165 + 0.904174i \(0.359512\pi\)
\(38\) 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 0.746939 0.664893i \(-0.231523\pi\)
−0.202344 + 0.979314i \(0.564856\pi\)
\(42\) 1.05509 + 4.45946i 0.162803 + 0.688110i
\(43\) −0.445979 0.772459i −0.0680112 0.117799i 0.830015 0.557742i \(-0.188332\pi\)
−0.898026 + 0.439943i \(0.854999\pi\)
\(44\) 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 0.880253 0.474504i \(-0.157373\pi\)
0.0291943 + 0.999574i \(0.490706\pi\)
\(48\) 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 −0.823431 0.567417i \(-0.807943\pi\)
0.0796817 + 0.996820i \(0.474610\pi\)
\(54\) 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 0.943796 0.330529i \(-0.107227\pi\)
0.185652 + 0.982616i \(0.440560\pi\)
\(60\) 5.50246 3.56866i 0.710365 0.460712i
\(61\) 3.64451i 0.466632i −0.972401 0.233316i \(-0.925042\pi\)
0.972401 0.233316i \(-0.0749576\pi\)
\(62\) 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 \(-0.773872\pi\)
0.758099 0.652139i \(-0.226128\pi\)
\(68\) −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 0.916560 + 0.399898i \(0.130954\pi\)
−0.111958 + 0.993713i \(0.535712\pi\)
\(72\) 2.98394 0.310014i 0.351661 0.0365355i
\(73\) −2.19097 3.79486i −0.256433 0.444155i 0.708851 0.705359i \(-0.249214\pi\)
−0.965284 + 0.261203i \(0.915881\pi\)
\(74\) 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 −0.190071 + 0.981770i \(0.560872\pi\)
−0.755203 + 0.655491i \(0.772462\pi\)
\(80\) 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 \(-0.771814\pi\)
0.753867 0.657027i \(-0.228186\pi\)
\(84\) 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 −0.396186 0.918170i \(-0.629666\pi\)
0.597066 + 0.802192i \(0.296333\pi\)
\(90\) −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 −0.985287 0.170907i \(-0.945330\pi\)
0.344634 0.938737i \(-0.388003\pi\)
\(98\) 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 0.637992 0.770043i \(-0.279765\pi\)
−0.347880 + 0.937539i \(0.613098\pi\)
\(104\) 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 −0.822350 0.568982i \(-0.807337\pi\)
0.0815784 + 0.996667i \(0.474004\pi\)
\(108\) 1.87084 4.84768i 0.180022 0.466468i
\(109\) −2.56093 + 1.47855i −0.245292 + 0.141620i −0.617607 0.786487i \(-0.711898\pi\)
0.372314 + 0.928107i \(0.378564\pi\)
\(110\) 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 −0.0304434 0.999536i \(-0.509692\pi\)
0.850402 + 0.526133i \(0.176359\pi\)
\(114\) −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 −0.888777 0.458340i \(-0.848444\pi\)
0.841323 + 0.540533i \(0.181777\pi\)
\(128\) −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 −0.450481 0.892786i \(-0.648747\pi\)
0.998416 0.0562650i \(-0.0179192\pi\)
\(132\) −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 −0.315098 0.949059i \(-0.602037\pi\)
0.979458 0.201647i \(-0.0646292\pi\)
\(138\) 7.48098 + 3.81739i 0.636823 + 0.324958i
\(139\) 7.60046 4.38812i 0.644662 0.372196i −0.141746 0.989903i \(-0.545272\pi\)
0.786408 + 0.617707i \(0.211938\pi\)
\(140\) −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 −0.874127 0.485697i \(-0.838566\pi\)
−0.0164372 + 0.999865i \(0.505232\pi\)
\(152\) −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 −0.130074 0.991504i \(-0.541522\pi\)
0.793631 + 0.608400i \(0.208188\pi\)
\(158\) 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 \(-0.919654\pi\)
0.968312 0.249743i \(-0.0803462\pi\)
\(164\) −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 0.726456 0.687213i \(-0.241166\pi\)
−0.231916 + 0.972736i \(0.574499\pi\)
\(168\) −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 \(0.104072\pi\)
−0.947026 + 0.321158i \(0.895928\pi\)
\(180\) −9.19798 + 6.66592i −0.685577 + 0.496848i
\(181\) 2.78775i 0.207211i −0.994618 0.103606i \(-0.966962\pi\)
0.994618 0.103606i \(-0.0330380\pi\)
\(182\) 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 \(-0.750378\pi\)
0.707946 0.706267i \(-0.249622\pi\)
\(192\) −1.72973 + 0.0896134i −0.124833 + 0.00646729i
\(193\) 6.34486i 0.456713i 0.973578 + 0.228357i \(0.0733352\pi\)
−0.973578 + 0.228357i \(0.926665\pi\)
\(194\) −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 −0.673555 0.739137i \(-0.735233\pi\)
0.976889 + 0.213747i \(0.0685668\pi\)
\(198\) 10.2253 + 14.1095i 0.726684 + 1.00272i
\(199\) −1.46494 0.845782i −0.103847 0.0599559i 0.447177 0.894445i \(-0.352429\pi\)
−0.551024 + 0.834489i \(0.685763\pi\)
\(200\) 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 −0.128885 0.991660i \(-0.541140\pi\)
0.923245 0.384213i \(-0.125527\pi\)
\(212\) 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 0.413985 + 0.910284i \(0.364136\pi\)
−0.995321 + 0.0966199i \(0.969197\pi\)
\(224\) −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 −0.164423 0.986390i \(-0.552576\pi\)
−0.936450 + 0.350801i \(0.885909\pi\)
\(228\) −2.24901 + 4.40741i −0.148944 + 0.291888i
\(229\) 8.79153 15.2274i 0.580960 1.00625i −0.414405 0.910092i \(-0.636010\pi\)
0.995366 0.0961607i \(-0.0306563\pi\)
\(230\) −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 0.459446 0.888206i \(-0.348048\pi\)
−0.539486 + 0.841995i \(0.681381\pi\)
\(234\) 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 −0.600254 0.799810i \(-0.704934\pi\)
0.992782 + 0.119930i \(0.0382671\pi\)
\(242\) −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 0.966913 0.255108i \(-0.0821109\pi\)
−0.704386 + 0.709817i \(0.748778\pi\)
\(252\) −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 −0.972664 0.232218i \(-0.925402\pi\)
0.285225 0.958460i \(-0.407932\pi\)
\(258\) 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 \(-0.820922\pi\)
0.845876 0.533379i \(-0.179078\pi\)
\(264\) 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 −0.958037 0.286643i \(-0.907461\pi\)
0.727259 + 0.686363i \(0.240794\pi\)
\(270\) 3.04298 + 19.4384i 0.185190 + 1.18298i
\(271\) −1.03693 1.79602i −0.0629893 0.109101i 0.832811 0.553557i \(-0.186730\pi\)
−0.895800 + 0.444457i \(0.853397\pi\)
\(272\) 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 −0.253276 0.967394i \(-0.581508\pi\)
0.964426 0.264354i \(-0.0851586\pi\)
\(278\) −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 \(0.166676\pi\)
−0.866011 + 0.500026i \(0.833324\pi\)
\(284\) −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 −0.992115 0.125335i \(-0.960000\pi\)
−0.387514 + 0.921864i \(0.626666\pi\)
\(294\) −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 0.820434 + 0.571742i \(0.193732\pi\)
0.0849258 + 0.996387i \(0.472935\pi\)
\(312\) −1.83460 5.96944i −0.103864 0.337953i
\(313\) −5.32050 3.07179i −0.300732 0.173628i 0.342039 0.939686i \(-0.388882\pi\)
−0.642772 + 0.766058i \(0.722216\pi\)
\(314\) −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 −0.993006 0.118061i \(-0.962332\pi\)
0.598747 + 0.800938i \(0.295665\pi\)
\(318\) −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 \(0.0729753\pi\)
−0.973835 + 0.227256i \(0.927025\pi\)
\(332\) 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 0.830265 0.557369i \(-0.188189\pi\)
−0.0675627 + 0.997715i \(0.521522\pi\)
\(348\) −3.69609 + 2.39713i −0.198131 + 0.128500i
\(349\) −4.38530 + 7.59556i −0.234740 + 0.406581i −0.959197 0.282739i \(-0.908757\pi\)
0.724457 + 0.689320i \(0.242090\pi\)
\(350\) 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 \(0.174001\pi\)
−0.854276 + 0.519819i \(0.825999\pi\)
\(354\) 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 −0.903980 0.427575i \(-0.859368\pi\)
0.822281 + 0.569082i \(0.192701\pi\)
\(360\) 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 \(-0.932111\pi\)
0.977342 0.211667i \(-0.0678893\pi\)
\(368\) −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 0.0198382 0.999803i \(-0.493685\pi\)
−0.855936 + 0.517082i \(0.827018\pi\)
\(380\) 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 \(-0.782323\pi\)
0.775144 0.631785i \(-0.217677\pi\)
\(384\) 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 −0.687540 0.726147i \(-0.741309\pi\)
0.285092 + 0.958500i \(0.407976\pi\)
\(390\) −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 0.942240 0.334937i \(-0.108715\pi\)
−0.761184 + 0.648536i \(0.775382\pi\)
\(402\) 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 −0.845904 0.533335i \(-0.820939\pi\)
0.884834 + 0.465907i \(0.154272\pi\)
\(410\) 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 −0.321704 0.946840i \(-0.604255\pi\)
0.980840 0.194817i \(-0.0624112\pi\)
\(420\) 16.8857 3.99507i 0.823937 0.194940i
\(421\) 13.0461i 0.635827i −0.948120 0.317913i \(-0.897018\pi\)
0.948120 0.317913i \(-0.102982\pi\)
\(422\) −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 0.190982 0.981594i \(-0.438833\pi\)
0.945576 + 0.325402i \(0.105499\pi\)
\(434\) 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 −0.490552 0.871412i \(-0.663205\pi\)
0.509389 + 0.860537i \(0.329872\pi\)
\(440\) −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 0.937103 0.349053i \(-0.113497\pi\)
0.166262 + 0.986082i \(0.446830\pi\)
\(444\) 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 0.856383 0.516341i \(-0.172706\pi\)
−0.875356 + 0.483479i \(0.839373\pi\)
\(450\) 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 −0.158599 0.987343i \(-0.550698\pi\)
0.775765 + 0.631022i \(0.217364\pi\)
\(458\) −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 −0.209293 0.977853i \(-0.567116\pi\)
0.742199 + 0.670180i \(0.233783\pi\)
\(462\) −6.12834 25.9022i −0.285116 1.20508i
\(463\) 15.4572i 0.718355i −0.933269 0.359177i \(-0.883057\pi\)
0.933269 0.359177i \(-0.116943\pi\)
\(464\) 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 −0.850215 0.526436i \(-0.823528\pi\)
0.881014 + 0.473090i \(0.156861\pi\)
\(468\) −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 \(0.106713\pi\)
−0.944329 + 0.329003i \(0.893287\pi\)
\(480\) 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 −0.238138 0.971231i \(-0.576537\pi\)
−0.960180 + 0.279382i \(0.909870\pi\)
\(488\) 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 0.435698 0.900093i \(-0.356502\pi\)
−0.561655 + 0.827372i \(0.689835\pi\)
\(492\) 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 0.101173 0.994869i \(-0.467740\pi\)
−0.810995 + 0.585053i \(0.801074\pi\)
\(500\) −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 0.737566 0.675275i \(-0.235975\pi\)
−0.953588 + 0.301113i \(0.902642\pi\)
\(504\) 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 0.276654 0.960970i \(-0.410774\pi\)
0.970551 + 0.240895i \(0.0774411\pi\)
\(510\) −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 −0.772542 0.634964i \(-0.781015\pi\)
−0.163624 0.986523i \(-0.552318\pi\)
\(522\) 0.788504 + 7.58948i 0.0345119 + 0.332183i
\(523\) 0.432713 0.249827i 0.0189212 0.0109242i −0.490510 0.871436i \(-0.663189\pi\)
0.509431 + 0.860512i \(0.329856\pi\)
\(524\) 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 0.785402 0.618986i \(-0.212456\pi\)
−0.143356 + 0.989671i \(0.545790\pi\)
\(542\) −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 −0.892459 0.451128i \(-0.851022\pi\)
0.836918 + 0.547329i \(0.184355\pi\)
\(564\) 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 0.617896 0.786260i \(-0.287985\pi\)
0.989869 0.141984i \(-0.0453481\pi\)
\(570\) −0.969357 18.7107i −0.0406019 0.783704i
\(571\) −1.88780 3.26977i −0.0790021 0.136836i 0.823818 0.566855i \(-0.191840\pi\)
−0.902820 + 0.430019i \(0.858507\pi\)
\(572\) 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 0.535499 0.844536i \(-0.320123\pi\)
−0.999139 + 0.0414882i \(0.986790\pi\)
\(578\) −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 0.0595402 0.998226i \(-0.481037\pi\)
−0.834719 + 0.550676i \(0.814370\pi\)
\(588\) 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 0.557023 0.830497i \(-0.311944\pi\)
−0.440720 + 0.897645i \(0.645277\pi\)
\(594\) −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 −0.0909981 0.995851i \(-0.529006\pi\)
0.816933 + 0.576732i \(0.195672\pi\)
\(600\) −8.80032 13.5691i −0.359272 0.553955i
\(601\) 25.4328 + 14.6836i 1.03743 + 0.598958i 0.919103 0.394017i \(-0.128915\pi\)
0.118322 + 0.992975i \(0.462248\pi\)
\(602\) −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 \(0.0475677\pi\)
−0.988855 + 0.148883i \(0.952432\pi\)
\(608\) 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 \(0.0642645\pi\)
−0.979689 + 0.200524i \(0.935736\pi\)
\(614\) −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 0.624189 0.781273i \(-0.285430\pi\)
−0.988697 + 0.149927i \(0.952096\pi\)
\(618\) 0.304668 + 5.88075i 0.0122555 + 0.236558i
\(619\) 24.1824 + 41.8852i 0.971973 + 1.68351i 0.689582 + 0.724208i \(0.257794\pi\)
0.282392 + 0.959299i \(0.408872\pi\)
\(620\) −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 −0.230617 0.973045i \(-0.574075\pi\)
0.727373 + 0.686243i \(0.240741\pi\)
\(632\) −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 0.356624 0.934248i \(-0.383928\pi\)
−0.630770 + 0.775970i \(0.717261\pi\)
\(642\) −13.6507 6.96566i −0.538749 0.274913i
\(643\) 13.5619 + 23.4899i 0.534830 + 0.926353i 0.999172 + 0.0406964i \(0.0129576\pi\)
−0.464342 + 0.885656i \(0.653709\pi\)
\(644\) −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 −0.997408 0.0719585i \(-0.977075\pi\)
−0.436386 + 0.899760i \(0.643742\pi\)
\(654\) −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 −0.973316 0.229469i \(-0.926301\pi\)
−0.287932 + 0.957651i \(0.592968\pi\)
\(660\) −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 −0.582973 0.812492i \(-0.698111\pi\)
0.995125 + 0.0986232i \(0.0314439\pi\)
\(674\) −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 −0.999698 0.0245935i \(-0.992171\pi\)
0.521147 + 0.853467i \(0.325504\pi\)
\(678\) 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 −0.641229 0.767350i \(-0.721575\pi\)
0.985159 + 0.171646i \(0.0549084\pi\)
\(684\) 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 0.993988 0.109493i \(-0.0349227\pi\)
−0.591817 + 0.806072i \(0.701589\pi\)
\(692\) −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 \(0.141900\pi\)
−0.902270 + 0.431171i \(0.858100\pi\)
\(702\) −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 \(0.375613\pi\)
−0.380902 + 0.924615i \(0.624387\pi\)
\(710\) 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 \(0.149802\pi\)
−0.891289 + 0.453435i \(0.850198\pi\)
\(728\) −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 −0.887550 0.460711i \(-0.847594\pi\)
0.842763 + 0.538285i \(0.180928\pi\)
\(734\) −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 \(0.330212\pi\)
−0.508468 + 0.861081i \(0.669788\pi\)
\(740\) 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 −0.798478 0.602024i \(-0.794361\pi\)
0.920607 + 0.390490i \(0.127695\pi\)
\(744\) −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 0.915484 0.402355i \(-0.131808\pi\)
−0.806192 + 0.591654i \(0.798475\pi\)
\(752\) 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 0.0999189 0.994996i \(-0.468142\pi\)
0.811732 0.584030i \(-0.198525\pi\)
\(758\) 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 \(-0.951639\pi\)
0.988481 0.151347i \(-0.0483610\pi\)
\(762\) −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 0.0609760 + 0.998139i \(0.480579\pi\)
−0.894902 + 0.446263i \(0.852755\pi\)
\(770\) −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 0.489555 0.871972i \(-0.337159\pi\)
−0.510372 + 0.859953i \(0.670492\pi\)
\(774\) −1.09130 + 2.44323i −0.0392260 + 0.0878200i