Properties

Label 588.2.x.b.223.8
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.8
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.b.559.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.865398 - 1.11852i) q^{2} +(0.222521 - 0.974928i) q^{3} +(-0.502172 + 1.93593i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.28305 + 0.594807i) q^{6} +(-0.940574 + 2.47292i) q^{7} +(2.59995 - 1.11366i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-0.865398 - 1.11852i) q^{2} +(0.222521 - 0.974928i) q^{3} +(-0.502172 + 1.93593i) q^{4} +(3.66097 + 0.835592i) q^{5} +(-1.28305 + 0.594807i) q^{6} +(-0.940574 + 2.47292i) q^{7} +(2.59995 - 1.11366i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-2.23357 - 4.81799i) q^{10} +(-0.615107 - 1.27728i) q^{11} +(1.77565 + 0.920366i) q^{12} +(2.92044 + 6.06435i) q^{13} +(3.57998 - 1.08801i) q^{14} +(1.62928 - 3.38324i) q^{15} +(-3.49565 - 1.94434i) q^{16} +(-2.52480 + 2.01346i) q^{17} +(0.294389 + 1.38323i) q^{18} -3.53465 q^{19} +(-3.45608 + 6.66777i) q^{20} +(2.20162 + 1.46727i) q^{21} +(-0.896353 + 1.79337i) q^{22} +(5.43528 + 4.33449i) q^{23} +(-0.507195 - 2.78258i) q^{24} +(8.19963 + 3.94874i) q^{25} +(4.25575 - 8.51464i) q^{26} +(-0.623490 + 0.781831i) q^{27} +(-4.31506 - 3.06272i) q^{28} +(3.09780 + 3.88452i) q^{29} +(-5.19420 + 1.10547i) q^{30} +1.53816 q^{31} +(0.850345 + 5.59258i) q^{32} +(-1.38213 + 0.315463i) q^{33} +(4.43705 + 1.08159i) q^{34} +(-5.50976 + 8.26734i) q^{35} +(1.29241 - 1.52633i) q^{36} +(-6.46581 - 8.10787i) q^{37} +(3.05888 + 3.95358i) q^{38} +(6.56216 - 1.49777i) q^{39} +(10.4489 - 1.90458i) q^{40} +(-4.59645 - 1.04911i) q^{41} +(-0.264109 - 3.73232i) q^{42} +(1.11278 - 0.253985i) q^{43} +(2.78162 - 0.549388i) q^{44} +(-2.93587 - 2.34128i) q^{45} +(0.144532 - 9.83053i) q^{46} +(3.04994 - 1.46877i) q^{47} +(-2.67344 + 2.97535i) q^{48} +(-5.23064 - 4.65192i) q^{49} +(-2.67921 - 12.5887i) q^{50} +(1.40116 + 2.90954i) q^{51} +(-13.2067 + 2.60841i) q^{52} +(5.08062 - 6.37090i) q^{53} +(1.41406 + 0.0207900i) q^{54} +(-1.18460 - 5.19007i) q^{55} +(0.308542 + 7.47695i) q^{56} +(-0.786534 + 3.44603i) q^{57} +(1.66408 - 6.82660i) q^{58} +(-1.42951 - 6.26308i) q^{59} +(5.73154 + 4.85315i) q^{60} +(8.39662 - 6.69608i) q^{61} +(-1.33112 - 1.72046i) q^{62} +(1.92039 - 1.81992i) q^{63} +(5.51952 - 5.79093i) q^{64} +(5.62431 + 24.6417i) q^{65} +(1.54895 + 1.27294i) q^{66} -10.7256i q^{67} +(-2.63003 - 5.89894i) q^{68} +(5.43528 - 4.33449i) q^{69} +(14.0153 - 0.991760i) q^{70} +(5.74181 + 4.57894i) q^{71} +(-2.82568 - 0.124704i) q^{72} +(3.06354 - 6.36150i) q^{73} +(-3.47331 + 14.2487i) q^{74} +(5.67432 - 7.11538i) q^{75} +(1.77500 - 6.84283i) q^{76} +(3.73717 - 0.319729i) q^{77} +(-7.35417 - 6.04374i) q^{78} +4.18757i q^{79} +(-11.1728 - 10.0391i) q^{80} +(0.623490 + 0.781831i) q^{81} +(2.80431 + 6.04912i) q^{82} +(-6.05594 - 2.91639i) q^{83} +(-3.94612 + 3.52536i) q^{84} +(-10.9256 + 5.26151i) q^{85} +(-1.24708 - 1.02487i) q^{86} +(4.47645 - 2.15574i) q^{87} +(-3.02171 - 2.63586i) q^{88} +(-1.93655 + 4.02129i) q^{89} +(-0.0780688 + 5.30996i) q^{90} +(-17.7435 + 1.51803i) q^{91} +(-11.1207 + 8.34566i) q^{92} +(0.342273 - 1.49959i) q^{93} +(-4.28226 - 2.14034i) q^{94} +(-12.9402 - 2.95353i) q^{95} +(5.64158 + 0.415440i) q^{96} -8.69538i q^{97} +(-0.676682 + 9.87634i) q^{98} +1.41768i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.865398 1.11852i −0.611929 0.790913i
\(3\) 0.222521 0.974928i 0.128473 0.562875i
\(4\) −0.502172 + 1.93593i −0.251086 + 0.967965i
\(5\) 3.66097 + 0.835592i 1.63724 + 0.373688i 0.939468 0.342637i \(-0.111320\pi\)
0.697767 + 0.716325i \(0.254177\pi\)
\(6\) −1.28305 + 0.594807i −0.523801 + 0.242829i
\(7\) −0.940574 + 2.47292i −0.355504 + 0.934675i
\(8\) 2.59995 1.11366i 0.919222 0.393739i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) −2.23357 4.81799i −0.706317 1.52358i
\(11\) −0.615107 1.27728i −0.185462 0.385115i 0.787421 0.616416i \(-0.211416\pi\)
−0.972882 + 0.231301i \(0.925702\pi\)
\(12\) 1.77565 + 0.920366i 0.512585 + 0.265687i
\(13\) 2.92044 + 6.06435i 0.809984 + 1.68195i 0.728268 + 0.685292i \(0.240326\pi\)
0.0817156 + 0.996656i \(0.473960\pi\)
\(14\) 3.57998 1.08801i 0.956789 0.290782i
\(15\) 1.62928 3.38324i 0.420679 0.873550i
\(16\) −3.49565 1.94434i −0.873912 0.486085i
\(17\) −2.52480 + 2.01346i −0.612354 + 0.488336i −0.879868 0.475218i \(-0.842369\pi\)
0.267514 + 0.963554i \(0.413798\pi\)
\(18\) 0.294389 + 1.38323i 0.0693882 + 0.326031i
\(19\) −3.53465 −0.810904 −0.405452 0.914116i \(-0.632886\pi\)
−0.405452 + 0.914116i \(0.632886\pi\)
\(20\) −3.45608 + 6.66777i −0.772804 + 1.49096i
\(21\) 2.20162 + 1.46727i 0.480433 + 0.320184i
\(22\) −0.896353 + 1.79337i −0.191103 + 0.382347i
\(23\) 5.43528 + 4.33449i 1.13333 + 0.903804i 0.996230 0.0867524i \(-0.0276489\pi\)
0.137105 + 0.990557i \(0.456220\pi\)
\(24\) −0.507195 2.78258i −0.103531 0.567992i
\(25\) 8.19963 + 3.94874i 1.63993 + 0.789747i
\(26\) 4.25575 8.51464i 0.834622 1.66986i
\(27\) −0.623490 + 0.781831i −0.119991 + 0.150464i
\(28\) −4.31506 3.06272i −0.815470 0.578799i
\(29\) 3.09780 + 3.88452i 0.575247 + 0.721337i 0.981294 0.192515i \(-0.0616645\pi\)
−0.406047 + 0.913852i \(0.633093\pi\)
\(30\) −5.19420 + 1.10547i −0.948328 + 0.201830i
\(31\) 1.53816 0.276261 0.138131 0.990414i \(-0.455891\pi\)
0.138131 + 0.990414i \(0.455891\pi\)
\(32\) 0.850345 + 5.59258i 0.150321 + 0.988637i
\(33\) −1.38213 + 0.315463i −0.240598 + 0.0549150i
\(34\) 4.43705 + 1.08159i 0.760948 + 0.185492i
\(35\) −5.50976 + 8.26734i −0.931320 + 1.39743i
\(36\) 1.29241 1.52633i 0.215402 0.254388i
\(37\) −6.46581 8.10787i −1.06297 1.33293i −0.940250 0.340484i \(-0.889409\pi\)
−0.122722 0.992441i \(-0.539163\pi\)
\(38\) 3.05888 + 3.95358i 0.496216 + 0.641355i
\(39\) 6.56216 1.49777i 1.05079 0.239835i
\(40\) 10.4489 1.90458i 1.65212 0.301140i
\(41\) −4.59645 1.04911i −0.717845 0.163843i −0.152030 0.988376i \(-0.548581\pi\)
−0.565815 + 0.824532i \(0.691438\pi\)
\(42\) −0.264109 3.73232i −0.0407529 0.575910i
\(43\) 1.11278 0.253985i 0.169697 0.0387323i −0.136828 0.990595i \(-0.543691\pi\)
0.306525 + 0.951863i \(0.400834\pi\)
\(44\) 2.78162 0.549388i 0.419345 0.0828234i
\(45\) −2.93587 2.34128i −0.437654 0.349017i
\(46\) 0.144532 9.83053i 0.0213100 1.44943i
\(47\) 3.04994 1.46877i 0.444879 0.214243i −0.198013 0.980199i \(-0.563449\pi\)
0.642892 + 0.765957i \(0.277734\pi\)
\(48\) −2.67344 + 2.97535i −0.385879 + 0.429454i
\(49\) −5.23064 4.65192i −0.747234 0.664561i
\(50\) −2.67921 12.5887i −0.378898 1.78031i
\(51\) 1.40116 + 2.90954i 0.196201 + 0.407416i
\(52\) −13.2067 + 2.60841i −1.83144 + 0.361722i
\(53\) 5.08062 6.37090i 0.697877 0.875110i −0.298986 0.954258i \(-0.596648\pi\)
0.996863 + 0.0791474i \(0.0252198\pi\)
\(54\) 1.41406 + 0.0207900i 0.192429 + 0.00282916i
\(55\) −1.18460 5.19007i −0.159731 0.699829i
\(56\) 0.308542 + 7.47695i 0.0412306 + 0.999150i
\(57\) −0.786534 + 3.44603i −0.104179 + 0.456438i
\(58\) 1.66408 6.82660i 0.218504 0.896377i
\(59\) −1.42951 6.26308i −0.186106 0.815383i −0.978644 0.205561i \(-0.934098\pi\)
0.792538 0.609822i \(-0.208759\pi\)
\(60\) 5.73154 + 4.85315i 0.739939 + 0.626539i
\(61\) 8.39662 6.69608i 1.07508 0.857345i 0.0847923 0.996399i \(-0.472977\pi\)
0.990285 + 0.139053i \(0.0444059\pi\)
\(62\) −1.33112 1.72046i −0.169052 0.218499i
\(63\) 1.92039 1.81992i 0.241946 0.229289i
\(64\) 5.51952 5.79093i 0.689940 0.723867i
\(65\) 5.62431 + 24.6417i 0.697609 + 3.05643i
\(66\) 1.54895 + 1.27294i 0.190662 + 0.156688i
\(67\) 10.7256i 1.31034i −0.755480 0.655172i \(-0.772596\pi\)
0.755480 0.655172i \(-0.227404\pi\)
\(68\) −2.63003 5.89894i −0.318939 0.715351i
\(69\) 5.43528 4.33449i 0.654331 0.521812i
\(70\) 14.0153 0.991760i 1.67515 0.118538i
\(71\) 5.74181 + 4.57894i 0.681427 + 0.543420i 0.901885 0.431976i \(-0.142184\pi\)
−0.220457 + 0.975397i \(0.570755\pi\)
\(72\) −2.82568 0.124704i −0.333009 0.0146965i
\(73\) 3.06354 6.36150i 0.358560 0.744557i −0.641179 0.767391i \(-0.721555\pi\)
0.999739 + 0.0228338i \(0.00726886\pi\)
\(74\) −3.47331 + 14.2487i −0.403764 + 1.65637i
\(75\) 5.67432 7.11538i 0.655214 0.821613i
\(76\) 1.77500 6.84283i 0.203607 0.784927i
\(77\) 3.73717 0.319729i 0.425890 0.0364365i
\(78\) −7.35417 6.04374i −0.832696 0.684319i
\(79\) 4.18757i 0.471138i 0.971858 + 0.235569i \(0.0756954\pi\)
−0.971858 + 0.235569i \(0.924305\pi\)
\(80\) −11.1728 10.0391i −1.24915 1.12241i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) 2.80431 + 6.04912i 0.309684 + 0.668013i
\(83\) −6.05594 2.91639i −0.664726 0.320115i 0.0709196 0.997482i \(-0.477407\pi\)
−0.735645 + 0.677367i \(0.763121\pi\)
\(84\) −3.94612 + 3.52536i −0.430557 + 0.384648i
\(85\) −10.9256 + 5.26151i −1.18505 + 0.570691i
\(86\) −1.24708 1.02487i −0.134477 0.110514i
\(87\) 4.47645 2.15574i 0.479926 0.231120i
\(88\) −3.02171 2.63586i −0.322115 0.280983i
\(89\) −1.93655 + 4.02129i −0.205274 + 0.426256i −0.978035 0.208441i \(-0.933161\pi\)
0.772761 + 0.634697i \(0.218875\pi\)
\(90\) −0.0780688 + 5.30996i −0.00822917 + 0.559719i
\(91\) −17.7435 + 1.51803i −1.86003 + 0.159133i
\(92\) −11.1207 + 8.34566i −1.15941 + 0.870095i
\(93\) 0.342273 1.49959i 0.0354920 0.155501i
\(94\) −4.28226 2.14034i −0.441682 0.220759i
\(95\) −12.9402 2.95353i −1.32764 0.303025i
\(96\) 5.64158 + 0.415440i 0.575791 + 0.0424007i
\(97\) 8.69538i 0.882882i −0.897290 0.441441i \(-0.854467\pi\)
0.897290 0.441441i \(-0.145533\pi\)
\(98\) −0.676682 + 9.87634i −0.0683552 + 0.997661i
\(99\) 1.41768i 0.142482i
\(100\) −11.7621 + 13.8910i −1.17621 + 1.38910i
\(101\) 1.49162 + 0.340454i 0.148422 + 0.0338764i 0.296086 0.955161i \(-0.404318\pi\)
−0.147664 + 0.989038i \(0.547176\pi\)
\(102\) 2.04181 4.08513i 0.202170 0.404488i
\(103\) −4.29755 + 18.8288i −0.423450 + 1.85525i 0.0882619 + 0.996097i \(0.471869\pi\)
−0.511712 + 0.859157i \(0.670988\pi\)
\(104\) 14.3466 + 12.5147i 1.40680 + 1.22716i
\(105\) 6.83402 + 7.21128i 0.666932 + 0.703749i
\(106\) −11.5227 0.169411i −1.11919 0.0164546i
\(107\) 4.01597 8.33926i 0.388239 0.806186i −0.611648 0.791130i \(-0.709493\pi\)
0.999887 0.0150562i \(-0.00479272\pi\)
\(108\) −1.20047 1.59965i −0.115515 0.153926i
\(109\) −8.95883 + 4.31434i −0.858100 + 0.413239i −0.810578 0.585631i \(-0.800847\pi\)
−0.0475222 + 0.998870i \(0.515132\pi\)
\(110\) −4.78004 + 5.81648i −0.455759 + 0.554579i
\(111\) −9.34337 + 4.49953i −0.886833 + 0.427076i
\(112\) 8.09610 6.81565i 0.765010 0.644018i
\(113\) 10.2644 + 4.94308i 0.965595 + 0.465006i 0.849127 0.528188i \(-0.177129\pi\)
0.116468 + 0.993194i \(0.462843\pi\)
\(114\) 4.53512 2.10243i 0.424753 0.196911i
\(115\) 16.2765 + 20.4101i 1.51779 + 1.90325i
\(116\) −9.07578 + 4.04643i −0.842665 + 0.375701i
\(117\) 6.73092i 0.622274i
\(118\) −5.76828 + 7.01899i −0.531014 + 0.646150i
\(119\) −2.60436 8.13743i −0.238741 0.745957i
\(120\) 0.468278 10.6107i 0.0427477 0.968624i
\(121\) 5.60529 7.02882i 0.509572 0.638983i
\(122\) −14.7561 3.59701i −1.33596 0.325658i
\(123\) −2.04561 + 4.24776i −0.184447 + 0.383007i
\(124\) −0.772420 + 2.97777i −0.0693654 + 0.267411i
\(125\) 12.0397 + 9.60136i 1.07687 + 0.858772i
\(126\) −3.69752 0.573033i −0.329401 0.0510499i
\(127\) 2.81406 2.24414i 0.249707 0.199135i −0.490635 0.871365i \(-0.663235\pi\)
0.740342 + 0.672231i \(0.234664\pi\)
\(128\) −11.2539 1.16223i −0.994710 0.102727i
\(129\) 1.14140i 0.100494i
\(130\) 22.6950 27.6158i 1.99048 2.42206i
\(131\) 0.723339 + 3.16916i 0.0631984 + 0.276890i 0.996647 0.0818207i \(-0.0260735\pi\)
−0.933449 + 0.358711i \(0.883216\pi\)
\(132\) 0.0833545 2.83413i 0.00725508 0.246679i
\(133\) 3.32460 8.74090i 0.288279 0.757932i
\(134\) −11.9968 + 9.28193i −1.03637 + 0.801837i
\(135\) −2.93587 + 2.34128i −0.252679 + 0.201505i
\(136\) −4.32205 + 8.04668i −0.370613 + 0.689997i
\(137\) −3.58061 15.6877i −0.305912 1.34029i −0.861046 0.508527i \(-0.830190\pi\)
0.555134 0.831761i \(-0.312667\pi\)
\(138\) −9.55190 2.32841i −0.813111 0.198207i
\(139\) −3.58557 + 15.7094i −0.304124 + 1.33245i 0.559715 + 0.828685i \(0.310911\pi\)
−0.863839 + 0.503768i \(0.831947\pi\)
\(140\) −13.2381 14.8181i −1.11883 1.25236i
\(141\) −0.753272 3.30030i −0.0634370 0.277936i
\(142\) 0.152683 10.3849i 0.0128128 0.871484i
\(143\) 5.94951 7.46045i 0.497523 0.623874i
\(144\) 2.30585 + 3.26849i 0.192154 + 0.272374i
\(145\) 8.09508 + 16.8096i 0.672259 + 1.39596i
\(146\) −9.76664 + 2.07860i −0.808293 + 0.172027i
\(147\) −5.69922 + 4.06435i −0.470064 + 0.335222i
\(148\) 18.9432 8.44581i 1.55712 0.694241i
\(149\) 0.140849 0.0678292i 0.0115388 0.00555678i −0.428105 0.903729i \(-0.640819\pi\)
0.439644 + 0.898172i \(0.355105\pi\)
\(150\) −12.8692 0.189208i −1.05077 0.0154487i
\(151\) −11.8155 9.42258i −0.961535 0.766798i 0.0109080 0.999941i \(-0.496528\pi\)
−0.972443 + 0.233142i \(0.925099\pi\)
\(152\) −9.18993 + 3.93640i −0.745402 + 0.319284i
\(153\) 3.14837 0.718596i 0.254531 0.0580950i
\(154\) −3.59176 3.90340i −0.289432 0.314545i
\(155\) 5.63115 + 1.28527i 0.452305 + 0.103236i
\(156\) −0.395755 + 13.4560i −0.0316858 + 1.07734i
\(157\) −4.58884 + 1.04737i −0.366229 + 0.0835894i −0.401675 0.915782i \(-0.631572\pi\)
0.0354462 + 0.999372i \(0.488715\pi\)
\(158\) 4.68388 3.62391i 0.372629 0.288303i
\(159\) −5.08062 6.37090i −0.402919 0.505245i
\(160\) −1.56003 + 21.1848i −0.123331 + 1.67480i
\(161\) −15.8311 + 9.36409i −1.24767 + 0.737994i
\(162\) 0.334927 1.37398i 0.0263143 0.107950i
\(163\) −12.1981 + 2.78414i −0.955428 + 0.218070i −0.671691 0.740832i \(-0.734432\pi\)
−0.283738 + 0.958902i \(0.591574\pi\)
\(164\) 4.33921 8.37157i 0.338835 0.653710i
\(165\) −5.32354 −0.414437
\(166\) 1.97876 + 9.29752i 0.153582 + 0.721627i
\(167\) 2.95078 + 3.70016i 0.228338 + 0.286327i 0.882781 0.469784i \(-0.155668\pi\)
−0.654443 + 0.756111i \(0.727097\pi\)
\(168\) 7.35815 + 1.36297i 0.567693 + 0.105156i
\(169\) −20.1420 + 25.2573i −1.54939 + 1.94287i
\(170\) 15.3401 + 7.66725i 1.17654 + 0.588051i
\(171\) 3.18461 + 1.53363i 0.243533 + 0.117279i
\(172\) −0.0671102 + 2.28181i −0.00511711 + 0.173986i
\(173\) 10.1954 + 8.13055i 0.775141 + 0.618154i 0.929060 0.369929i \(-0.120618\pi\)
−0.153919 + 0.988083i \(0.549189\pi\)
\(174\) −6.28515 3.14142i −0.476476 0.238150i
\(175\) −17.4773 + 16.5629i −1.32116 + 1.25204i
\(176\) −0.333274 + 5.66091i −0.0251215 + 0.426707i
\(177\) −6.42415 −0.482868
\(178\) 6.17378 1.31395i 0.462745 0.0984845i
\(179\) 19.6126 15.6405i 1.46591 1.16903i 0.515971 0.856606i \(-0.327431\pi\)
0.949943 0.312422i \(-0.101140\pi\)
\(180\) 6.00686 4.50791i 0.447725 0.336000i
\(181\) −2.25530 + 4.68318i −0.167635 + 0.348098i −0.967815 0.251662i \(-0.919023\pi\)
0.800180 + 0.599760i \(0.204737\pi\)
\(182\) 17.0532 + 18.5328i 1.26406 + 1.37374i
\(183\) −4.65977 9.67612i −0.344460 0.715279i
\(184\) 18.9586 + 5.21642i 1.39765 + 0.384560i
\(185\) −16.8963 35.0854i −1.24224 2.57953i
\(186\) −1.97353 + 0.914907i −0.144706 + 0.0670843i
\(187\) 4.12478 + 1.98639i 0.301634 + 0.145259i
\(188\) 1.31185 + 6.64204i 0.0956763 + 0.484421i
\(189\) −1.34697 2.27721i −0.0979774 0.165643i
\(190\) 7.89489 + 17.0299i 0.572755 + 1.23548i
\(191\) −16.8377 3.84309i −1.21833 0.278076i −0.435430 0.900223i \(-0.643404\pi\)
−0.782901 + 0.622147i \(0.786261\pi\)
\(192\) −4.41753 6.66974i −0.318808 0.481347i
\(193\) 3.26527 14.3061i 0.235039 1.02977i −0.710355 0.703843i \(-0.751466\pi\)
0.945394 0.325930i \(-0.105677\pi\)
\(194\) −9.72596 + 7.52497i −0.698283 + 0.540261i
\(195\) 25.2754 1.81001
\(196\) 11.6325 7.79008i 0.830891 0.556435i
\(197\) 1.36992 0.0976026 0.0488013 0.998809i \(-0.484460\pi\)
0.0488013 + 0.998809i \(0.484460\pi\)
\(198\) 1.58570 1.22685i 0.112691 0.0871888i
\(199\) −2.18437 + 9.57035i −0.154846 + 0.678424i 0.836590 + 0.547830i \(0.184546\pi\)
−0.991436 + 0.130595i \(0.958311\pi\)
\(200\) 25.7162 + 1.13492i 1.81841 + 0.0802509i
\(201\) −10.4567 2.38668i −0.737559 0.168343i
\(202\) −0.910045 1.96304i −0.0640306 0.138119i
\(203\) −12.5198 + 4.00692i −0.878718 + 0.281231i
\(204\) −6.33628 + 1.25146i −0.443628 + 0.0876195i
\(205\) −15.9508 7.68152i −1.11405 0.536500i
\(206\) 24.7794 11.4875i 1.72647 0.800372i
\(207\) −3.01635 6.26352i −0.209651 0.435345i
\(208\) 1.58234 26.8771i 0.109715 1.86359i
\(209\) 2.17419 + 4.51475i 0.150392 + 0.312292i
\(210\) 2.15181 13.8846i 0.148489 0.958129i
\(211\) −1.51503 + 3.14598i −0.104299 + 0.216578i −0.946587 0.322449i \(-0.895494\pi\)
0.842288 + 0.539028i \(0.181208\pi\)
\(212\) 9.78226 + 13.0350i 0.671849 + 0.895248i
\(213\) 5.74181 4.57894i 0.393422 0.313744i
\(214\) −12.8030 + 2.72483i −0.875198 + 0.186266i
\(215\) 4.28608 0.292308
\(216\) −0.750350 + 2.72708i −0.0510548 + 0.185554i
\(217\) −1.44675 + 3.80374i −0.0982120 + 0.258215i
\(218\) 12.5786 + 6.28700i 0.851932 + 0.425809i
\(219\) −5.52030 4.40229i −0.373027 0.297479i
\(220\) 10.6425 + 0.313006i 0.717516 + 0.0211029i
\(221\) −19.5839 9.43109i −1.31735 0.634404i
\(222\) 13.1185 + 6.55685i 0.880459 + 0.440067i
\(223\) 9.88787 12.3990i 0.662141 0.830298i −0.331434 0.943478i \(-0.607532\pi\)
0.993574 + 0.113180i \(0.0361038\pi\)
\(224\) −14.6298 3.15740i −0.977494 0.210963i
\(225\) −5.67432 7.11538i −0.378288 0.474358i
\(226\) −3.35387 15.7587i −0.223096 1.04825i
\(227\) 17.3089 1.14883 0.574415 0.818565i \(-0.305230\pi\)
0.574415 + 0.818565i \(0.305230\pi\)
\(228\) −6.27630 3.25317i −0.415658 0.215447i
\(229\) −4.91454 + 1.12171i −0.324762 + 0.0741248i −0.381794 0.924248i \(-0.624694\pi\)
0.0570317 + 0.998372i \(0.481836\pi\)
\(230\) 8.74344 35.8685i 0.576525 2.36510i
\(231\) 0.519885 3.71462i 0.0342059 0.244404i
\(232\) 12.3802 + 6.64967i 0.812798 + 0.436572i
\(233\) −8.91741 11.1821i −0.584199 0.732562i 0.398624 0.917114i \(-0.369488\pi\)
−0.982823 + 0.184552i \(0.940916\pi\)
\(234\) −7.52867 + 5.82493i −0.492164 + 0.380787i
\(235\) 12.3930 2.82863i 0.808432 0.184519i
\(236\) 12.8427 + 0.377718i 0.835991 + 0.0245873i
\(237\) 4.08258 + 0.931822i 0.265192 + 0.0605283i
\(238\) −6.84807 + 9.95515i −0.443894 + 0.645296i
\(239\) 10.9648 2.50265i 0.709256 0.161883i 0.147350 0.989084i \(-0.452926\pi\)
0.561906 + 0.827201i \(0.310068\pi\)
\(240\) −12.2736 + 8.65874i −0.792256 + 0.558920i
\(241\) −0.859274 0.685248i −0.0553507 0.0441407i 0.595424 0.803412i \(-0.296984\pi\)
−0.650774 + 0.759271i \(0.725556\pi\)
\(242\) −12.7127 0.186906i −0.817202 0.0120148i
\(243\) 0.900969 0.433884i 0.0577972 0.0278337i
\(244\) 8.74660 + 19.6179i 0.559943 + 1.25590i
\(245\) −15.2621 21.4012i −0.975060 1.36727i
\(246\) 6.52147 1.38794i 0.415794 0.0884921i
\(247\) −10.3227 21.4354i −0.656819 1.36390i
\(248\) 3.99914 1.71299i 0.253946 0.108775i
\(249\) −4.19084 + 5.25515i −0.265584 + 0.333031i
\(250\) 0.320153 21.7757i 0.0202483 1.37721i
\(251\) 0.387241 + 1.69661i 0.0244424 + 0.107089i 0.985678 0.168640i \(-0.0539377\pi\)
−0.961235 + 0.275730i \(0.911081\pi\)
\(252\) 2.55888 + 4.63165i 0.161194 + 0.291766i
\(253\) 2.19309 9.60857i 0.137879 0.604085i
\(254\) −4.94539 1.20551i −0.310301 0.0756402i
\(255\) 2.69841 + 11.8225i 0.168981 + 0.740355i
\(256\) 8.43909 + 13.5934i 0.527443 + 0.849590i
\(257\) 4.68793 3.73850i 0.292425 0.233201i −0.466277 0.884639i \(-0.654405\pi\)
0.758702 + 0.651437i \(0.225834\pi\)
\(258\) −1.27668 + 0.987763i −0.0794823 + 0.0614954i
\(259\) 26.1317 8.36336i 1.62374 0.519674i
\(260\) −50.5290 1.48611i −3.13367 0.0921644i
\(261\) −1.10559 4.84391i −0.0684344 0.299831i
\(262\) 2.91879 3.55165i 0.180323 0.219422i
\(263\) 13.9615i 0.860901i 0.902614 + 0.430451i \(0.141645\pi\)
−0.902614 + 0.430451i \(0.858355\pi\)
\(264\) −3.24216 + 2.35942i −0.199541 + 0.145212i
\(265\) 23.9235 19.0783i 1.46961 1.17197i
\(266\) −12.6540 + 3.84573i −0.775865 + 0.235797i
\(267\) 3.48955 + 2.78282i 0.213557 + 0.170306i
\(268\) 20.7640 + 5.38611i 1.26837 + 0.329009i
\(269\) 1.37349 2.85208i 0.0837432 0.173895i −0.854892 0.518806i \(-0.826377\pi\)
0.938635 + 0.344911i \(0.112091\pi\)
\(270\) 5.15946 + 1.25769i 0.313995 + 0.0765406i
\(271\) −7.77652 + 9.75145i −0.472390 + 0.592358i −0.959755 0.280840i \(-0.909387\pi\)
0.487364 + 0.873199i \(0.337958\pi\)
\(272\) 12.7407 2.12928i 0.772516 0.129107i
\(273\) −2.46834 + 17.6365i −0.149391 + 1.06741i
\(274\) −14.4483 + 17.5811i −0.872854 + 1.06211i
\(275\) 12.9021i 0.778029i
\(276\) 5.66183 + 12.6990i 0.340802 + 0.764389i
\(277\) 2.55771 + 3.20726i 0.153678 + 0.192706i 0.852710 0.522384i \(-0.174957\pi\)
−0.699033 + 0.715090i \(0.746386\pi\)
\(278\) 20.6742 9.58435i 1.23996 0.574831i
\(279\) −1.38583 0.667382i −0.0829677 0.0399551i
\(280\) −5.11812 + 27.6307i −0.305866 + 1.65125i
\(281\) −21.9608 + 10.5758i −1.31007 + 0.630898i −0.952941 0.303156i \(-0.901960\pi\)
−0.357132 + 0.934054i \(0.616245\pi\)
\(282\) −3.03957 + 3.69863i −0.181004 + 0.220250i
\(283\) −22.4677 + 10.8199i −1.33557 + 0.643174i −0.959050 0.283236i \(-0.908592\pi\)
−0.376515 + 0.926410i \(0.622878\pi\)
\(284\) −11.7479 + 8.81632i −0.697109 + 0.523153i
\(285\) −5.75895 + 11.9586i −0.341131 + 0.708365i
\(286\) −13.4934 0.198384i −0.797879 0.0117307i
\(287\) 6.91766 10.3799i 0.408337 0.612705i
\(288\) 1.66039 5.40769i 0.0978396 0.318651i
\(289\) −1.46226 + 6.40660i −0.0860156 + 0.376859i
\(290\) 11.7964 23.6015i 0.692708 1.38593i
\(291\) −8.47737 1.93490i −0.496952 0.113426i
\(292\) 10.7770 + 9.12536i 0.630676 + 0.534021i
\(293\) 5.03450i 0.294119i 0.989128 + 0.147059i \(0.0469808\pi\)
−0.989128 + 0.147059i \(0.953019\pi\)
\(294\) 9.47814 + 2.85741i 0.552777 + 0.166647i
\(295\) 24.1234i 1.40452i
\(296\) −25.8402 13.8794i −1.50193 0.806722i
\(297\) 1.38213 + 0.315463i 0.0801995 + 0.0183050i
\(298\) −0.197759 0.0988429i −0.0114558 0.00572581i
\(299\) −10.4125 + 45.6201i −0.602169 + 2.63828i
\(300\) 10.9254 + 14.5582i 0.630777 + 0.840520i
\(301\) −0.418569 + 2.99070i −0.0241259 + 0.172381i
\(302\) −0.314191 + 21.3702i −0.0180797 + 1.22972i
\(303\) 0.663835 1.37847i 0.0381363 0.0791909i
\(304\) 12.3559 + 6.87256i 0.708659 + 0.394168i
\(305\) 36.3350 17.4980i 2.08053 1.00193i
\(306\) −3.52836 2.89965i −0.201703 0.165762i
\(307\) 26.4379 12.7318i 1.50889 0.726644i 0.517271 0.855822i \(-0.326948\pi\)
0.991621 + 0.129178i \(0.0412337\pi\)
\(308\) −1.25773 + 7.39545i −0.0716657 + 0.421395i
\(309\) 17.4004 + 8.37959i 0.989875 + 0.476698i
\(310\) −3.43558 7.41083i −0.195128 0.420907i
\(311\) −8.69888 10.9080i −0.493268 0.618538i 0.471428 0.881905i \(-0.343739\pi\)
−0.964696 + 0.263366i \(0.915167\pi\)
\(312\) 15.3933 11.2022i 0.871475 0.634197i
\(313\) 29.1224i 1.64609i −0.567973 0.823047i \(-0.692272\pi\)
0.567973 0.823047i \(-0.307728\pi\)
\(314\) 5.14268 + 4.22631i 0.290218 + 0.238504i
\(315\) 8.55119 5.05802i 0.481805 0.284987i
\(316\) −8.10684 2.10288i −0.456045 0.118296i
\(317\) −2.98173 + 3.73897i −0.167471 + 0.210001i −0.858484 0.512841i \(-0.828593\pi\)
0.691013 + 0.722842i \(0.257165\pi\)
\(318\) −2.72921 + 11.1961i −0.153047 + 0.627848i
\(319\) 3.05615 6.34616i 0.171112 0.355317i
\(320\) 25.0456 16.5884i 1.40009 0.927317i
\(321\) −7.23654 5.77095i −0.403904 0.322103i
\(322\) 24.1741 + 9.60376i 1.34717 + 0.535197i
\(323\) 8.92429 7.11688i 0.496561 0.395994i
\(324\) −1.82667 + 0.814419i −0.101482 + 0.0452455i
\(325\) 61.2575i 3.39795i
\(326\) 13.6703 + 11.2344i 0.757129 + 0.622217i
\(327\) 2.21265 + 9.69424i 0.122360 + 0.536093i
\(328\) −13.1189 + 2.39125i −0.724371 + 0.132035i
\(329\) 0.763460 + 8.92373i 0.0420909 + 0.491981i
\(330\) 4.60698 + 5.95449i 0.253606 + 0.327784i
\(331\) −6.31473 + 5.03583i −0.347089 + 0.276794i −0.781480 0.623930i \(-0.785535\pi\)
0.434391 + 0.900724i \(0.356964\pi\)
\(332\) 8.68704 10.2593i 0.476763 0.563055i
\(333\) 2.30762 + 10.1103i 0.126457 + 0.554044i
\(334\) 1.58510 6.50262i 0.0867331 0.355808i
\(335\) 8.96225 39.2662i 0.489660 2.14534i
\(336\) −4.84321 9.40974i −0.264219 0.513344i
\(337\) −3.47941 15.2443i −0.189536 0.830410i −0.976861 0.213873i \(-0.931392\pi\)
0.787326 0.616537i \(-0.211465\pi\)
\(338\) 45.6817 + 0.671626i 2.48475 + 0.0365317i
\(339\) 7.10320 8.90713i 0.385793 0.483769i
\(340\) −4.69937 23.7935i −0.254859 1.29038i
\(341\) −0.946132 1.96466i −0.0512359 0.106392i
\(342\) −1.04056 4.88925i −0.0562672 0.264380i
\(343\) 16.4236 8.55946i 0.886793 0.462167i
\(344\) 2.61032 1.89961i 0.140739 0.102420i
\(345\) 23.5203 11.3268i 1.26629 0.609812i
\(346\) 0.271109 18.4399i 0.0145749 0.991335i
\(347\) 2.52638 + 2.01472i 0.135623 + 0.108156i 0.688952 0.724807i \(-0.258071\pi\)
−0.553329 + 0.832963i \(0.686643\pi\)
\(348\) 1.92542 + 9.74865i 0.103213 + 0.522582i
\(349\) 5.14131 1.17347i 0.275208 0.0628145i −0.0826892 0.996575i \(-0.526351\pi\)
0.357897 + 0.933761i \(0.383494\pi\)
\(350\) 33.6508 + 5.21512i 1.79871 + 0.278760i
\(351\) −6.56216 1.49777i −0.350262 0.0799451i
\(352\) 6.62025 4.52616i 0.352860 0.241245i
\(353\) −16.1141 + 3.67793i −0.857665 + 0.195756i −0.628671 0.777671i \(-0.716401\pi\)
−0.228994 + 0.973428i \(0.573544\pi\)
\(354\) 5.55944 + 7.18553i 0.295481 + 0.381907i
\(355\) 17.1945 + 21.5612i 0.912587 + 1.14435i
\(356\) −6.81246 5.76841i −0.361059 0.305725i
\(357\) −8.51293 + 0.728315i −0.450552 + 0.0385465i
\(358\) −34.4669 8.40179i −1.82163 0.444049i
\(359\) 0.155928 0.0355895i 0.00822956 0.00187834i −0.218404 0.975858i \(-0.570085\pi\)
0.226634 + 0.973980i \(0.427228\pi\)
\(360\) −10.2405 2.81765i −0.539722 0.148503i
\(361\) −6.50625 −0.342434
\(362\) 7.18996 1.53022i 0.377896 0.0804264i
\(363\) −5.60529 7.02882i −0.294202 0.368917i
\(364\) 5.97151 35.1125i 0.312992 1.84040i
\(365\) 16.5311 20.7294i 0.865279 1.08503i
\(366\) −6.79037 + 13.5857i −0.354938 + 0.710138i
\(367\) −4.17056 2.00844i −0.217701 0.104839i 0.321855 0.946789i \(-0.395694\pi\)
−0.539556 + 0.841950i \(0.681408\pi\)
\(368\) −10.5721 25.7199i −0.551109 1.34074i
\(369\) 3.68607 + 2.93954i 0.191889 + 0.153026i
\(370\) −24.6218 + 49.2617i −1.28002 + 2.56099i
\(371\) 10.9760 + 18.5563i 0.569846 + 0.963393i
\(372\) 2.73123 + 1.41567i 0.141608 + 0.0733990i
\(373\) −28.7493 −1.48858 −0.744292 0.667854i \(-0.767213\pi\)
−0.744292 + 0.667854i \(0.767213\pi\)
\(374\) −1.34776 6.33267i −0.0696911 0.327454i
\(375\) 12.0397 9.60136i 0.621729 0.495812i
\(376\) 6.29398 7.21534i 0.324587 0.372103i
\(377\) −14.5101 + 30.1306i −0.747311 + 1.55181i
\(378\) −1.38144 + 3.47730i −0.0710537 + 0.178853i
\(379\) 2.75821 + 5.72749i 0.141680 + 0.294201i 0.959719 0.280961i \(-0.0906531\pi\)
−0.818039 + 0.575162i \(0.804939\pi\)
\(380\) 12.2160 23.5682i 0.626670 1.20902i
\(381\) −1.56168 3.24287i −0.0800075 0.166137i
\(382\) 10.2727 + 22.1591i 0.525598 + 1.13376i
\(383\) 31.1234 + 14.9883i 1.59033 + 0.765864i 0.999172 0.0406894i \(-0.0129554\pi\)
0.591161 + 0.806553i \(0.298670\pi\)
\(384\) −3.63731 + 10.7131i −0.185615 + 0.546699i
\(385\) 13.9488 + 1.95223i 0.710898 + 0.0994948i
\(386\) −18.8274 + 8.72818i −0.958288 + 0.444253i
\(387\) −1.11278 0.253985i −0.0565658 0.0129108i
\(388\) 16.8337 + 4.36658i 0.854599 + 0.221679i
\(389\) 1.10567 4.84424i 0.0560595 0.245613i −0.939133 0.343555i \(-0.888369\pi\)
0.995192 + 0.0979421i \(0.0312260\pi\)
\(390\) −21.8733 28.2710i −1.10760 1.43156i
\(391\) −22.4503 −1.13536
\(392\) −18.7801 6.26963i −0.948538 0.316664i
\(393\) 3.25066 0.163974
\(394\) −1.18552 1.53228i −0.0597258 0.0771951i
\(395\) −3.49910 + 15.3306i −0.176059 + 0.771364i
\(396\) −2.74452 0.711917i −0.137917 0.0357752i
\(397\) −7.51615 1.71551i −0.377225 0.0860991i 0.0297046 0.999559i \(-0.490543\pi\)
−0.406929 + 0.913460i \(0.633400\pi\)
\(398\) 12.5950 5.83891i 0.631329 0.292678i
\(399\) −7.78195 5.18628i −0.389585 0.259639i
\(400\) −20.9853 29.7463i −1.04927 1.48731i
\(401\) 23.9564 + 11.5368i 1.19633 + 0.576121i 0.922627 0.385695i \(-0.126038\pi\)
0.273700 + 0.961815i \(0.411752\pi\)
\(402\) 6.37967 + 13.7615i 0.318189 + 0.686359i
\(403\) 4.49210 + 9.32793i 0.223767 + 0.464657i
\(404\) −1.40815 + 2.71671i −0.0700579 + 0.135162i
\(405\) 1.62928 + 3.38324i 0.0809598 + 0.168115i
\(406\) 15.3164 + 10.5361i 0.760142 + 0.522896i
\(407\) −6.37888 + 13.2459i −0.316189 + 0.656574i
\(408\) 6.88318 + 6.00424i 0.340768 + 0.297254i
\(409\) 17.4388 13.9070i 0.862292 0.687655i −0.0889716 0.996034i \(-0.528358\pi\)
0.951263 + 0.308379i \(0.0997866\pi\)
\(410\) 5.21190 + 24.4889i 0.257397 + 1.20942i
\(411\) −16.0911 −0.793715
\(412\) −34.2931 17.7750i −1.68950 0.875713i
\(413\) 16.8326 + 2.35584i 0.828280 + 0.115923i
\(414\) −4.39553 + 8.79429i −0.216028 + 0.432216i
\(415\) −19.7337 15.7371i −0.968689 0.772504i
\(416\) −31.4320 + 21.4896i −1.54108 + 1.05361i
\(417\) 14.5177 + 6.99134i 0.710933 + 0.342367i
\(418\) 3.16830 6.33893i 0.154966 0.310047i
\(419\) 15.6433 19.6161i 0.764226 0.958309i −0.235683 0.971830i \(-0.575733\pi\)
0.999909 + 0.0135213i \(0.00430411\pi\)
\(420\) −17.3924 + 9.60888i −0.848661 + 0.468865i
\(421\) 11.2481 + 14.1046i 0.548198 + 0.687418i 0.976327 0.216299i \(-0.0693986\pi\)
−0.428129 + 0.903717i \(0.640827\pi\)
\(422\) 4.82995 1.02794i 0.235118 0.0500395i
\(423\) −3.38518 −0.164593
\(424\) 6.11436 22.2221i 0.296940 1.07920i
\(425\) −28.6531 + 6.53988i −1.38988 + 0.317231i
\(426\) −10.0906 2.45972i −0.488891 0.119174i
\(427\) 8.66121 + 27.0623i 0.419145 + 1.30964i
\(428\) 14.1275 + 11.9624i 0.682879 + 0.578224i
\(429\) −5.94951 7.46045i −0.287245 0.360194i
\(430\) −3.70917 4.79406i −0.178872 0.231190i
\(431\) −30.4210 + 6.94340i −1.46533 + 0.334452i −0.879467 0.475959i \(-0.842101\pi\)
−0.585862 + 0.810411i \(0.699244\pi\)
\(432\) 3.69965 1.52073i 0.177999 0.0731662i
\(433\) −21.1617 4.83002i −1.01697 0.232116i −0.318625 0.947881i \(-0.603221\pi\)
−0.698342 + 0.715765i \(0.746078\pi\)
\(434\) 5.50657 1.67353i 0.264324 0.0803319i
\(435\) 18.1895 4.15163i 0.872118 0.199055i
\(436\) −3.85339 19.5102i −0.184544 0.934369i
\(437\) −19.2118 15.3209i −0.919026 0.732899i
\(438\) −0.146792 + 9.98430i −0.00701401 + 0.477068i
\(439\) 5.95980 2.87009i 0.284446 0.136982i −0.286221 0.958164i \(-0.592399\pi\)
0.570667 + 0.821182i \(0.306685\pi\)
\(440\) −8.85988 12.1747i −0.422378 0.580406i
\(441\) 2.69425 + 6.46073i 0.128298 + 0.307654i
\(442\) 6.39898 + 30.0666i 0.304368 + 1.43012i
\(443\) −11.9816 24.8801i −0.569263 1.18209i −0.964641 0.263568i \(-0.915101\pi\)
0.395378 0.918519i \(-0.370614\pi\)
\(444\) −4.01879 20.3476i −0.190723 0.965656i
\(445\) −10.4498 + 13.1037i −0.495369 + 0.621173i
\(446\) −22.4255 0.329706i −1.06188 0.0156120i
\(447\) −0.0347868 0.152411i −0.00164536 0.00720878i
\(448\) 9.12898 + 19.0961i 0.431304 + 0.902207i
\(449\) −0.290611 + 1.27325i −0.0137148 + 0.0600885i −0.981322 0.192371i \(-0.938382\pi\)
0.967607 + 0.252459i \(0.0812394\pi\)
\(450\) −3.04814 + 12.5045i −0.143691 + 0.589467i
\(451\) 1.48730 + 6.51628i 0.0700341 + 0.306840i
\(452\) −14.7240 + 17.3889i −0.692557 + 0.817905i
\(453\) −11.8155 + 9.42258i −0.555142 + 0.442711i
\(454\) −14.9791 19.3603i −0.703002 0.908624i
\(455\) −66.2269 9.26890i −3.10477 0.434533i
\(456\) 1.79276 + 9.83545i 0.0839535 + 0.460587i
\(457\) 0.119706 + 0.524465i 0.00559960 + 0.0245334i 0.977651 0.210237i \(-0.0674234\pi\)
−0.972051 + 0.234770i \(0.924566\pi\)
\(458\) 5.50769 + 4.52628i 0.257358 + 0.211499i
\(459\) 3.22934i 0.150733i
\(460\) −47.6862 + 21.2608i −2.22338 + 0.991291i
\(461\) 21.6883 17.2959i 1.01013 0.805549i 0.0291303 0.999576i \(-0.490726\pi\)
0.980996 + 0.194027i \(0.0621548\pi\)
\(462\) −4.60478 + 2.63312i −0.214234 + 0.122504i
\(463\) −27.5419 21.9639i −1.27998 1.02075i −0.998120 0.0612934i \(-0.980477\pi\)
−0.281859 0.959456i \(-0.590951\pi\)
\(464\) −3.27599 19.6021i −0.152084 0.910003i
\(465\) 2.50610 5.20397i 0.116218 0.241328i
\(466\) −4.79026 + 19.6512i −0.221905 + 0.910326i
\(467\) 4.47839 5.61572i 0.207235 0.259865i −0.667342 0.744752i \(-0.732568\pi\)
0.874577 + 0.484887i \(0.161139\pi\)
\(468\) 13.0306 + 3.38008i 0.602339 + 0.156244i
\(469\) 26.5236 + 10.0882i 1.22474 + 0.465832i
\(470\) −13.8888 11.4139i −0.640641 0.526486i
\(471\) 4.70685i 0.216880i
\(472\) −10.6916 14.6917i −0.492121 0.676242i
\(473\) −1.00889 1.26511i −0.0463888 0.0581697i
\(474\) −2.49079 5.37284i −0.114406 0.246783i
\(475\) −28.9828 13.9574i −1.32982 0.640409i
\(476\) 17.0613 0.955468i 0.782005 0.0437938i
\(477\) −7.34171 + 3.53558i −0.336154 + 0.161883i
\(478\) −12.2882 10.0986i −0.562049 0.461899i
\(479\) −4.69725 + 2.26208i −0.214623 + 0.103357i −0.538107 0.842877i \(-0.680860\pi\)
0.323484 + 0.946234i \(0.395146\pi\)
\(480\) 20.3065 + 6.23497i 0.926861 + 0.284586i
\(481\) 30.2860 62.8895i 1.38092 2.86751i
\(482\) −0.0228493 + 1.55413i −0.00104076 + 0.0707886i
\(483\) 5.60656 + 17.5179i 0.255107 + 0.797093i
\(484\) 10.7925 + 14.3811i 0.490567 + 0.653688i
\(485\) 7.26580 31.8335i 0.329923 1.44549i
\(486\) −1.26500 0.632269i −0.0573818 0.0286803i
\(487\) −18.8245 4.29656i −0.853018 0.194696i −0.226412 0.974032i \(-0.572700\pi\)
−0.626607 + 0.779336i \(0.715557\pi\)
\(488\) 14.3737 26.7605i 0.650665 1.21139i
\(489\) 12.5118i 0.565803i
\(490\) −10.7299 + 35.5915i −0.484728 + 1.60786i
\(491\) 10.2043i 0.460515i −0.973130 0.230258i \(-0.926043\pi\)
0.973130 0.230258i \(-0.0739569\pi\)
\(492\) −7.19611 6.09327i −0.324426 0.274706i
\(493\) −15.6427 3.57033i −0.704510 0.160800i
\(494\) −15.0426 + 30.0963i −0.676799 + 1.35410i
\(495\) −1.18460 + 5.19007i −0.0532438 + 0.233276i
\(496\) −5.37686 2.99070i −0.241428 0.134286i
\(497\) −16.7239 + 9.89219i −0.750171 + 0.443725i
\(498\) 9.50473 + 0.139742i 0.425917 + 0.00626197i
\(499\) 2.27215 4.71817i 0.101715 0.211214i −0.843900 0.536500i \(-0.819746\pi\)
0.945616 + 0.325286i \(0.105460\pi\)
\(500\) −24.6336 + 18.4865i −1.10165 + 0.826743i
\(501\) 4.26401 2.05344i 0.190502 0.0917408i
\(502\) 1.56258 1.90138i 0.0697412 0.0848628i
\(503\) 29.8848 14.3918i 1.33250 0.641697i 0.374167 0.927361i \(-0.377929\pi\)
0.958330 + 0.285665i \(0.0922143\pi\)
\(504\) 2.96614 6.87037i 0.132122 0.306031i
\(505\) 5.17631 + 2.49278i 0.230343 + 0.110927i
\(506\) −12.6453 + 5.86222i −0.562151 + 0.260607i
\(507\) 20.1420 + 25.2573i 0.894539 + 1.12172i
\(508\) 2.93135 + 6.57476i 0.130058 + 0.291708i
\(509\) 6.03886i 0.267668i 0.991004 + 0.133834i \(0.0427289\pi\)
−0.991004 + 0.133834i \(0.957271\pi\)
\(510\) 10.8885 13.2494i 0.482152 0.586694i
\(511\) 12.8500 + 13.5593i 0.568450 + 0.599830i
\(512\) 7.90136 21.2030i 0.349194 0.937050i
\(513\) 2.20382 2.76350i 0.0973010 0.122012i
\(514\) −8.23851 2.00825i −0.363385 0.0885801i
\(515\) −31.4664 + 65.3406i −1.38657 + 2.87925i
\(516\) 2.20966 + 0.573178i 0.0972751 + 0.0252327i
\(517\) −3.75208 2.99218i −0.165016 0.131596i
\(518\) −31.9689 21.9911i −1.40463 0.966235i
\(519\) 10.1954 8.13055i 0.447528 0.356892i
\(520\) 42.0654 + 57.8037i 1.84469 + 2.53486i
\(521\) 43.9841i 1.92698i 0.267748 + 0.963489i \(0.413721\pi\)
−0.267748 + 0.963489i \(0.586279\pi\)
\(522\) −4.46124 + 5.42854i −0.195263 + 0.237601i
\(523\) −0.685742 3.00443i −0.0299854 0.131375i 0.957720 0.287703i \(-0.0928915\pi\)
−0.987705 + 0.156328i \(0.950034\pi\)
\(524\) −6.49850 0.191127i −0.283888 0.00834944i
\(525\) 12.2586 + 20.7247i 0.535010 + 0.904499i
\(526\) 15.6162 12.0822i 0.680898 0.526810i
\(527\) −3.88354 + 3.09702i −0.169170 + 0.134908i
\(528\) 5.44481 + 1.58459i 0.236955 + 0.0689603i
\(529\) 5.63648 + 24.6950i 0.245064 + 1.07370i
\(530\) −42.0428 10.2485i −1.82622 0.445167i
\(531\) −1.42951 + 6.26308i −0.0620353 + 0.271794i
\(532\) 15.2522 + 10.8256i 0.661269 + 0.469350i
\(533\) −7.06147 30.9383i −0.305866 1.34009i
\(534\) 0.0927918 6.31137i 0.00401550 0.273120i
\(535\) 21.6706 27.1740i 0.936901 1.17484i
\(536\) −11.9447 27.8861i −0.515933 1.20450i
\(537\) −10.8842 22.6012i −0.469687 0.975315i
\(538\) −4.37873 + 0.931911i −0.188780 + 0.0401775i
\(539\) −2.72442 + 9.54244i −0.117349 + 0.411022i
\(540\) −3.05824 6.85936i −0.131606 0.295180i
\(541\) −29.0782 + 14.0033i −1.25017 + 0.602049i −0.937557 0.347832i \(-0.886918\pi\)
−0.312611 + 0.949881i \(0.601204\pi\)
\(542\) 17.6370 + 0.259305i 0.757573 + 0.0111381i
\(543\) 4.06391 + 3.24086i 0.174399 + 0.139079i
\(544\) −13.4074 12.4080i −0.574837 0.531989i
\(545\) −36.4030 + 8.30875i −1.55933 + 0.355908i
\(546\) 21.8628 12.5017i 0.935642 0.535022i
\(547\) 34.5333 + 7.88200i 1.47654 + 0.337010i 0.883601 0.468240i \(-0.155112\pi\)
0.592935 + 0.805250i \(0.297969\pi\)
\(548\) 32.1683 + 0.946102i 1.37416 + 0.0404155i
\(549\) −10.4704 + 2.38980i −0.446866 + 0.101994i
\(550\) −14.4313 + 11.1655i −0.615353 + 0.476098i
\(551\) −10.9496 13.7304i −0.466470 0.584935i
\(552\) 9.30433 17.3225i 0.396018 0.737296i
\(553\) −10.3555 3.93872i −0.440361 0.167491i
\(554\) 1.37395 5.63640i 0.0583736 0.239468i
\(555\) −37.9655 + 8.66539i −1.61155 + 0.367825i
\(556\) −28.6117 14.8302i −1.21341 0.628941i
\(557\) −17.6714 −0.748760 −0.374380 0.927275i \(-0.622144\pi\)
−0.374380 + 0.927275i \(0.622144\pi\)
\(558\) 0.452818 + 2.12763i 0.0191693 + 0.0900699i
\(559\) 4.79006 + 6.00654i 0.202598 + 0.254050i
\(560\) 35.3347 18.1868i 1.49316 0.768534i
\(561\) 2.85444 3.57935i 0.120514 0.151120i
\(562\) 30.8341 + 15.4114i 1.30066 + 0.650089i
\(563\) 34.6850 + 16.7034i 1.46180 + 0.703964i 0.984598 0.174831i \(-0.0559381\pi\)
0.477198 + 0.878796i \(0.341652\pi\)
\(564\) 6.76742 + 0.199037i 0.284960 + 0.00838096i
\(565\) 33.4473 + 26.6733i 1.40714 + 1.12216i
\(566\) 31.5457 + 15.7671i 1.32597 + 0.662739i
\(567\) −2.51984 + 0.806468i −0.105823 + 0.0338685i
\(568\) 20.0278 + 5.51061i 0.840349 + 0.231220i
\(569\) 29.3971 1.23239 0.616195 0.787594i \(-0.288673\pi\)
0.616195 + 0.787594i \(0.288673\pi\)
\(570\) 18.3597 3.90744i 0.769003 0.163665i
\(571\) −1.50015 + 1.19633i −0.0627792 + 0.0500647i −0.654377 0.756169i \(-0.727069\pi\)
0.591597 + 0.806233i \(0.298497\pi\)
\(572\) 11.4552 + 15.2643i 0.478967 + 0.638231i
\(573\) −7.49346 + 15.5603i −0.313044 + 0.650042i
\(574\) −17.5966 + 1.24518i −0.734469 + 0.0519729i
\(575\) 27.4516 + 57.0037i 1.14481 + 2.37722i
\(576\) −7.48551 + 2.82262i −0.311896 + 0.117609i
\(577\) 11.6520 + 24.1956i 0.485079 + 1.00728i 0.989596 + 0.143875i \(0.0459564\pi\)
−0.504517 + 0.863402i \(0.668329\pi\)
\(578\) 8.43135 3.90869i 0.350698 0.162580i
\(579\) −13.2208 6.36680i −0.549437 0.264595i
\(580\) −36.6073 + 7.23019i −1.52004 + 0.300217i
\(581\) 12.9080 12.2328i 0.535516 0.507500i
\(582\) 5.17207 + 11.1566i 0.214389 + 0.462455i
\(583\) −11.2626 2.57061i −0.466448 0.106464i
\(584\) 0.880501 19.9513i 0.0364354 0.825593i
\(585\) 5.62431 24.6417i 0.232536 1.01881i
\(586\) 5.63119 4.35685i 0.232622 0.179980i
\(587\) 16.8610 0.695929 0.347964 0.937508i \(-0.386873\pi\)
0.347964 + 0.937508i \(0.386873\pi\)
\(588\) −5.00630 13.0743i −0.206456 0.539174i
\(589\) −5.43685 −0.224022
\(590\) −26.9825 + 20.8764i −1.11085 + 0.859466i
\(591\) 0.304835 1.33557i 0.0125392 0.0549380i
\(592\) 6.83774 + 40.9140i 0.281029 + 1.68155i
\(593\) −20.5368 4.68738i −0.843344 0.192488i −0.221041 0.975264i \(-0.570946\pi\)
−0.622303 + 0.782777i \(0.713803\pi\)
\(594\) −0.843244 1.81894i −0.0345987 0.0746321i
\(595\) −2.73491 31.9671i −0.112120 1.31052i
\(596\) 0.0605822 + 0.306735i 0.00248155 + 0.0125644i
\(597\) 8.84434 + 4.25921i 0.361975 + 0.174318i
\(598\) 60.0379 27.8330i 2.45513 1.13817i
\(599\) −20.0658 41.6670i −0.819865 1.70247i −0.705137 0.709071i \(-0.749115\pi\)
−0.114728 0.993397i \(-0.536600\pi\)
\(600\) 6.82886 24.8189i 0.278787 1.01323i
\(601\) 16.3098 + 33.8677i 0.665292 + 1.38149i 0.911104 + 0.412176i \(0.135231\pi\)
−0.245812 + 0.969318i \(0.579055\pi\)
\(602\) 3.70739 2.11997i 0.151102 0.0864036i
\(603\) −4.65367 + 9.66345i −0.189512 + 0.393526i
\(604\) 24.1749 18.1423i 0.983662 0.738199i
\(605\) 26.3940 21.0485i 1.07307 0.855745i
\(606\) −2.11633 + 0.450411i −0.0859699 + 0.0182967i
\(607\) −39.2142 −1.59166 −0.795828 0.605523i \(-0.792964\pi\)
−0.795828 + 0.605523i \(0.792964\pi\)
\(608\) −3.00567 19.7678i −0.121896 0.801690i
\(609\) 1.12054 + 13.0975i 0.0454068 + 0.530739i
\(610\) −51.0161 25.4986i −2.06558 1.03241i
\(611\) 17.8143 + 14.2064i 0.720690 + 0.574731i
\(612\) −0.189874 + 6.45589i −0.00767521 + 0.260964i
\(613\) 27.5110 + 13.2486i 1.11116 + 0.535105i 0.897150 0.441727i \(-0.145634\pi\)
0.214008 + 0.976832i \(0.431348\pi\)
\(614\) −37.1201 18.5532i −1.49805 0.748747i
\(615\) −11.0383 + 13.8416i −0.445108 + 0.558148i
\(616\) 9.36039 4.99322i 0.377141 0.201183i
\(617\) 1.62130 + 2.03304i 0.0652709 + 0.0818471i 0.813395 0.581712i \(-0.197617\pi\)
−0.748124 + 0.663559i \(0.769045\pi\)
\(618\) −5.68554 26.7144i −0.228706 1.07461i
\(619\) −4.54398 −0.182638 −0.0913189 0.995822i \(-0.529108\pi\)
−0.0913189 + 0.995822i \(0.529108\pi\)
\(620\) −5.31601 + 10.2561i −0.213496 + 0.411894i
\(621\) −6.77769 + 1.54696i −0.271979 + 0.0620775i
\(622\) −4.67287 + 19.1697i −0.187365 + 0.768634i
\(623\) −8.12285 8.57126i −0.325435 0.343400i
\(624\) −25.8512 7.52339i −1.03488 0.301177i
\(625\) 7.68263 + 9.63372i 0.307305 + 0.385349i
\(626\) −32.5740 + 25.2025i −1.30192 + 1.00729i
\(627\) 4.88536 1.11505i 0.195102 0.0445308i
\(628\) 0.276746 9.40962i 0.0110434 0.375485i
\(629\) 32.6498 + 7.45209i 1.30183 + 0.297134i
\(630\) −13.0577 5.18747i −0.520230 0.206674i
\(631\) −16.8557 + 3.84720i −0.671014 + 0.153155i −0.544436 0.838802i \(-0.683256\pi\)
−0.126578 + 0.991957i \(0.540399\pi\)
\(632\) 4.66353 + 10.8875i 0.185505 + 0.433081i
\(633\) 2.72998 + 2.17709i 0.108507 + 0.0865315i
\(634\) 6.76249 + 0.0994244i 0.268573 + 0.00394865i
\(635\) 12.1774 5.86431i 0.483244 0.232718i
\(636\) 14.8850 6.63644i 0.590227 0.263152i
\(637\) 12.9351 45.3061i 0.512509 1.79509i
\(638\) −9.74309 + 2.07359i −0.385733 + 0.0820943i
\(639\) −3.18646 6.61676i −0.126055 0.261755i
\(640\) −40.2289 13.6585i −1.59019 0.539900i
\(641\) −16.8934 + 21.1837i −0.667250 + 0.836705i −0.994111 0.108368i \(-0.965438\pi\)
0.326861 + 0.945072i \(0.394009\pi\)
\(642\) −0.192429 + 13.0884i −0.00759459 + 0.516557i
\(643\) 6.13035 + 26.8588i 0.241758 + 1.05921i 0.939416 + 0.342779i \(0.111368\pi\)
−0.697659 + 0.716430i \(0.745775\pi\)
\(644\) −10.1783 35.3503i −0.401080 1.39300i
\(645\) 0.953743 4.17862i 0.0375536 0.164533i
\(646\) −15.6834 3.82305i −0.617056 0.150416i
\(647\) −8.10205 35.4974i −0.318524 1.39555i −0.840142 0.542367i \(-0.817528\pi\)
0.521618 0.853179i \(-0.325329\pi\)
\(648\) 2.49174 + 1.33837i 0.0978848 + 0.0525761i
\(649\) −7.12042 + 5.67835i −0.279501 + 0.222895i
\(650\) 68.5177 53.0121i 2.68749 2.07931i
\(651\) 3.38644 + 2.25689i 0.132725 + 0.0884545i
\(652\) 0.735650 25.0128i 0.0288103 0.979575i
\(653\) −1.44640 6.33708i −0.0566019 0.247989i 0.938710 0.344708i \(-0.112022\pi\)
−0.995312 + 0.0967194i \(0.969165\pi\)
\(654\) 8.92838 10.8643i 0.349127 0.424827i
\(655\) 12.2066i 0.476951i
\(656\) 14.0277 + 12.6044i 0.547691 + 0.492118i
\(657\) −5.52030 + 4.40229i −0.215367 + 0.171750i
\(658\) 9.32067 8.57653i 0.363358 0.334348i
\(659\) 3.08414 + 2.45952i 0.120141 + 0.0958093i 0.681717 0.731616i \(-0.261233\pi\)
−0.561576 + 0.827425i \(0.689805\pi\)
\(660\) 2.67333 10.3060i 0.104059 0.401161i
\(661\) −6.36270 + 13.2123i −0.247480 + 0.513898i −0.987292 0.158916i \(-0.949200\pi\)
0.739812 + 0.672814i \(0.234915\pi\)
\(662\) 11.0974 + 2.70515i 0.431314 + 0.105139i
\(663\) −13.5524 + 16.9942i −0.526333 + 0.660001i
\(664\) −18.9930 0.838208i −0.737072 0.0325288i
\(665\) 19.4751 29.2221i 0.755212 1.13319i
\(666\) 9.31161 11.3306i 0.360818 0.439052i
\(667\) 34.5408i 1.33743i
\(668\) −8.64506 + 3.85439i −0.334487 + 0.149131i
\(669\) −9.88787 12.3990i −0.382287 0.479373i
\(670\) −51.6759 + 23.9564i −1.99641 + 0.925517i
\(671\) −13.7176 6.60605i −0.529562 0.255024i
\(672\) −6.33367 + 13.5604i −0.244327 + 0.523104i
\(673\) −15.9528 + 7.68244i −0.614934 + 0.296136i −0.715304 0.698814i \(-0.753712\pi\)
0.100370 + 0.994950i \(0.467997\pi\)
\(674\) −14.0400 + 17.0842i −0.540800 + 0.658058i
\(675\) −8.19963 + 3.94874i −0.315604 + 0.151987i
\(676\) −38.7816 51.6770i −1.49160 1.98758i
\(677\) 4.80980 9.98766i 0.184856 0.383857i −0.787861 0.615853i \(-0.788811\pi\)
0.972717 + 0.231996i \(0.0745257\pi\)
\(678\) −16.1099 0.236853i −0.618697 0.00909628i
\(679\) 21.5030 + 8.17865i 0.825208 + 0.313868i
\(680\) −22.5466 + 25.8472i −0.864624 + 0.991193i
\(681\) 3.85158 16.8749i 0.147593 0.646647i
\(682\) −1.37873 + 2.75848i −0.0527944 + 0.105628i
\(683\) 28.9164 + 6.59998i 1.10646 + 0.252541i 0.736452 0.676489i \(-0.236500\pi\)
0.370003 + 0.929031i \(0.379357\pi\)
\(684\) −4.56822 + 5.39504i −0.174670 + 0.206284i
\(685\) 60.4240i 2.30868i
\(686\) −23.7869 10.9628i −0.908188 0.418562i
\(687\) 5.04093i 0.192323i
\(688\) −4.38372 1.27578i −0.167128 0.0486387i
\(689\) 53.4730 + 12.2049i 2.03716 + 0.464968i
\(690\) −33.0236 16.5057i −1.25719 0.628362i
\(691\) 8.83237 38.6971i 0.335999 1.47211i −0.471304 0.881971i \(-0.656216\pi\)
0.807303 0.590138i \(-0.200926\pi\)
\(692\) −20.8600 + 15.6546i −0.792979 + 0.595099i
\(693\) −3.50580 1.33343i −0.133174 0.0506528i
\(694\) 0.0671799 4.56934i 0.00255012 0.173450i
\(695\) −26.2533 + 54.5155i −0.995844 + 2.06789i
\(696\) 9.23780 10.5901i 0.350158 0.401416i
\(697\) 13.7175 6.60598i 0.519586 0.250219i
\(698\) −5.76183 4.73514i −0.218089 0.179228i
\(699\) −12.8860 + 6.20558i −0.487394 + 0.234717i
\(700\) −23.2881 42.1522i −0.880207 1.59320i
\(701\) 41.8392 + 20.1487i 1.58025 + 0.761006i 0.998623 0.0524524i \(-0.0167038\pi\)
0.581623 + 0.813459i \(0.302418\pi\)
\(702\) 4.00360 + 8.63608i 0.151106 + 0.325948i
\(703\) 22.8544 + 28.6585i 0.861969 + 1.08088i
\(704\) −10.7918 3.48794i −0.406729 0.131457i
\(705\) 12.7117i 0.478752i
\(706\) 18.0589 + 14.8410i 0.679656 + 0.558549i
\(707\) −2.24490 + 3.36844i −0.0844280 + 0.126683i
\(708\) 3.22603 12.4367i 0.121241 0.467400i
\(709\) 2.48010 3.10995i 0.0931421 0.116796i −0.733076 0.680146i \(-0.761916\pi\)
0.826218 + 0.563350i \(0.190488\pi\)
\(710\) 9.23654 37.8913i 0.346641 1.42204i
\(711\) 1.81692 3.77287i 0.0681398 0.141494i
\(712\) −0.556591 + 12.6118i −0.0208591 + 0.472649i
\(713\) 8.36033 + 6.66714i 0.313097 + 0.249686i
\(714\) 8.18171 + 8.89160i 0.306193 + 0.332760i
\(715\) 28.0149 22.3411i 1.04770 0.835510i
\(716\) 20.4301 + 45.8228i 0.763507 + 1.71248i
\(717\) 11.2468i 0.420020i
\(718\) −0.174747 0.143609i −0.00652151 0.00535945i
\(719\) −0.473107 2.07282i −0.0176439 0.0773031i 0.965339 0.260998i \(-0.0840514\pi\)
−0.982983 + 0.183694i \(0.941194\pi\)
\(720\) 5.71052 + 13.8926i 0.212819 + 0.517747i
\(721\) −42.5198 28.3373i −1.58352 1.05534i
\(722\) 5.63049 + 7.27736i 0.209545 + 0.270835i
\(723\) −0.859274 + 0.685248i −0.0319568 + 0.0254847i
\(724\) −7.93376 6.71786i −0.294856 0.249667i
\(725\) 10.0619 + 44.0840i 0.373689 + 1.63724i
\(726\) −3.01106 + 12.3524i −0.111751 + 0.458439i
\(727\) −2.90052 + 12.7080i −0.107574 + 0.471315i 0.892231 + 0.451580i \(0.149139\pi\)
−0.999805 + 0.0197348i \(0.993718\pi\)
\(728\) −44.4418 + 23.7071i −1.64712 + 0.878643i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) −37.4922 0.551223i −1.38765 0.0204017i
\(731\) −2.29816 + 2.88180i −0.0850005 + 0.106587i
\(732\) 21.0723 4.16192i 0.778854 0.153829i
\(733\) 12.4288 + 25.8086i 0.459066 + 0.953261i 0.994104 + 0.108433i \(0.0345833\pi\)
−0.535037 + 0.844828i \(0.679702\pi\)
\(734\) 1.36272 + 6.40295i 0.0502989 + 0.236337i
\(735\) −24.2608 + 10.1172i −0.894873 + 0.373179i
\(736\) −19.6191 + 34.0830i −0.723170 + 1.25632i
\(737\) −13.6997 + 6.59740i −0.504633 + 0.243018i
\(738\) 0.0980176 6.66681i 0.00360808 0.245409i
\(739\) −10.8949 8.68840i −0.400776 0.319608i 0.402275 0.915519i \(-0.368220\pi\)
−0.803050 + 0.595911i \(0.796791\pi\)
\(740\) 76.4078 15.0910i 2.80881 0.554758i
\(741\) −23.1950 + 5.29410i −0.852088 + 0.194483i
\(742\) 11.2569 28.3354i 0.413255 1.04023i
\(743\) 8.90295 + 2.03204i 0.326618 + 0.0745484i 0.382686 0.923879i \(-0.374999\pi\)
−0.0560680 + 0.998427i \(0.517856\pi\)
\(744\) −0.780146 4.28005i −0.0286015 0.156914i
\(745\) 0.572321 0.130628i 0.0209682 0.00478586i
\(746\) 24.8796 + 32.1567i 0.910908 + 1.17734i
\(747\) 4.19084 + 5.25515i 0.153335 + 0.192276i
\(748\) −5.91686 + 6.98778i −0.216342 + 0.255498i
\(749\) 16.8450 + 17.7749i 0.615502 + 0.649479i
\(750\) −21.1585 5.15767i −0.772598 0.188331i
\(751\) 22.8682 5.21951i 0.834472 0.190463i 0.216123 0.976366i \(-0.430659\pi\)
0.618349 + 0.785903i \(0.287802\pi\)
\(752\) −13.5173 0.795803i −0.492925 0.0290199i
\(753\) 1.74024 0.0634180
\(754\) 46.2588 9.84511i 1.68464 0.358538i
\(755\) −35.3829 44.3687i −1.28771 1.61474i
\(756\) 5.08493 1.46408i 0.184937 0.0532481i
\(757\) 2.02461 2.53878i 0.0735857 0.0922735i −0.743676 0.668540i \(-0.766920\pi\)
0.817262 + 0.576267i \(0.195491\pi\)
\(758\) 4.01936 8.04168i 0.145990 0.292087i
\(759\) −8.87965 4.27621i −0.322311 0.155217i
\(760\) −36.9333 + 6.73201i −1.33971 + 0.244196i
\(761\) 2.30418 + 1.83752i 0.0835263 + 0.0666100i 0.664363 0.747410i \(-0.268703\pi\)
−0.580836 + 0.814020i \(0.697274\pi\)
\(762\) −2.27573 + 4.55315i −0.0824412 + 0.164943i
\(763\) −2.24257 26.2124i −0.0811866 0.948953i
\(764\) 15.8953 30.6666i 0.575073 1.10948i
\(765\) 12.1266 0.438436
\(766\) −10.1695 47.7830i −0.367439 1.72647i
\(767\) 33.8067 26.9600i 1.22069 0.973468i
\(768\) 15.1305 5.20268i 0.545975 0.187736i
\(769\) 9.07022 18.8345i 0.327081 0.679190i −0.670978 0.741478i \(-0.734125\pi\)
0.998058 + 0.0622876i \(0.0198396\pi\)
\(770\) −9.88768 17.2915i −0.356327 0.623142i
\(771\) −2.60160 5.40229i −0.0936945 0.194559i
\(772\) 26.0558 + 13.5054i 0.937769 + 0.486071i
\(773\) 13.7131 + 28.4756i 0.493227 + 1.02420i 0.987896 + 0.155115i