Properties

Label 354.2.e.c.19.2
Level 354
Weight 2
Character 354.19
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.2
Character \(\chi\) = 354.19
Dual form 354.2.e.c.205.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.468408 - 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(1.70467 - 0.375225i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(1.66436 - 1.26521i) q^{7} +(-0.994138 + 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(0.468408 - 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(1.70467 - 0.375225i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(1.66436 - 1.26521i) q^{7} +(-0.994138 + 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.466964 - 1.68185i) q^{10} +(1.63608 + 4.10626i) q^{11} +(-0.976621 - 0.214970i) q^{12} +(0.0259109 + 0.477898i) q^{13} +(-0.338231 - 2.06312i) q^{14} +(0.979538 - 1.44471i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(-5.43699 - 4.13309i) q^{17} +(-0.856857 - 0.515554i) q^{18} +(-4.45939 + 1.50254i) q^{19} +(-1.26721 - 1.20036i) q^{20} +(0.338231 - 2.06312i) q^{21} +(4.39428 + 0.477907i) q^{22} +(7.68994 - 4.62688i) q^{23} +(-0.647386 + 0.762162i) q^{24} +(-1.77278 + 0.820177i) q^{25} +(0.434366 + 0.200959i) q^{26} +(-0.647386 - 0.762162i) q^{27} +(-1.98122 - 0.667550i) q^{28} +(4.74762 + 8.95495i) q^{29} +(-0.817595 - 1.54215i) q^{30} +(-8.67584 - 2.92323i) q^{31} +(0.647386 + 0.762162i) q^{32} +(4.01166 + 1.85599i) q^{33} +(-6.19837 + 2.86767i) q^{34} +(2.36243 - 2.78127i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(4.22692 + 0.459705i) q^{37} +(-0.761301 + 4.64373i) q^{38} +(0.347461 + 0.329133i) q^{39} +(-1.65410 + 0.557333i) q^{40} +(0.512136 + 0.308142i) q^{41} +(-1.66436 - 1.26521i) q^{42} +(1.50287 - 3.77193i) q^{43} +(2.48056 - 3.65854i) q^{44} +(-0.282386 - 1.72248i) q^{45} +(-0.485874 - 8.96143i) q^{46} +(-10.0104 - 2.20345i) q^{47} +(0.370138 + 0.928977i) q^{48} +(-0.703373 + 2.53332i) q^{49} +(-0.105751 + 1.95045i) q^{50} +(-6.78956 + 0.738409i) q^{51} +(0.381010 - 0.289636i) q^{52} +(3.85133 + 13.8712i) q^{53} +(-0.976621 + 0.214970i) q^{54} +(4.32975 + 6.38590i) q^{55} +(-1.51781 + 1.43774i) q^{56} +(-2.20420 + 4.15756i) q^{57} +10.1356 q^{58} +(6.58392 + 3.95626i) q^{59} -1.74547 q^{60} +(-0.810416 + 1.52861i) q^{61} +(-6.64655 + 6.29594i) q^{62} +(-1.17325 - 1.73041i) q^{63} +(0.976621 - 0.214970i) q^{64} +(0.223489 + 0.804934i) q^{65} +(3.51888 - 2.67499i) q^{66} +(-7.75360 + 0.843255i) q^{67} +(-0.369747 + 6.81958i) q^{68} +(2.40096 - 8.64746i) q^{69} +(-1.35070 - 3.39001i) q^{70} +(8.30561 + 1.82820i) q^{71} +(0.0541389 + 0.998533i) q^{72} +(-0.225672 - 1.37654i) q^{73} +(2.38608 - 3.51920i) q^{74} +(-0.722998 + 1.81459i) q^{75} +(3.74619 + 2.84778i) q^{76} +(7.91831 + 4.76429i) q^{77} +(0.453547 - 0.152818i) q^{78} +(-0.882699 - 0.836137i) q^{79} +(-0.282386 + 1.72248i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(0.512136 - 0.308142i) q^{82} +(5.95093 - 7.00597i) q^{83} +(-1.89743 + 0.877844i) q^{84} +(-10.8191 - 5.00545i) q^{85} +(-2.62859 - 3.09461i) q^{86} +(9.60506 + 3.23632i) q^{87} +(-2.07046 - 3.90529i) q^{88} +(5.12276 + 9.66255i) q^{89} +(-1.65410 - 0.557333i) q^{90} +(0.647767 + 0.762611i) q^{91} +(-8.14512 - 3.76833i) q^{92} +(-8.30893 + 3.84412i) q^{93} +(-6.63570 + 7.81216i) q^{94} +(-7.03798 + 4.23461i) q^{95} +(0.994138 + 0.108119i) q^{96} +(0.0801690 - 0.489009i) q^{97} +(1.90875 + 1.80807i) q^{98} +(4.18881 - 1.41137i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.468408 0.883512i 0.331215 0.624737i
\(3\) 0.725995 0.687699i 0.419154 0.397043i
\(4\) −0.561187 0.827689i −0.280594 0.413844i
\(5\) 1.70467 0.375225i 0.762350 0.167806i 0.183254 0.983066i \(-0.441337\pi\)
0.579096 + 0.815260i \(0.303406\pi\)
\(6\) −0.267528 0.963550i −0.109218 0.393368i
\(7\) 1.66436 1.26521i 0.629068 0.478205i −0.241403 0.970425i \(-0.577608\pi\)
0.870471 + 0.492220i \(0.163814\pi\)
\(8\) −0.994138 + 0.108119i −0.351481 + 0.0382258i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) 0.466964 1.68185i 0.147667 0.531848i
\(11\) 1.63608 + 4.10626i 0.493297 + 1.23808i 0.939314 + 0.343058i \(0.111463\pi\)
−0.446017 + 0.895025i \(0.647158\pi\)
\(12\) −0.976621 0.214970i −0.281926 0.0620566i
\(13\) 0.0259109 + 0.477898i 0.00718639 + 0.132545i 0.999925 + 0.0122530i \(0.00390035\pi\)
−0.992739 + 0.120292i \(0.961617\pi\)
\(14\) −0.338231 2.06312i −0.0903960 0.551391i
\(15\) 0.979538 1.44471i 0.252916 0.373023i
\(16\) −0.370138 + 0.928977i −0.0925345 + 0.232244i
\(17\) −5.43699 4.13309i −1.31866 1.00242i −0.998483 0.0550667i \(-0.982463\pi\)
−0.320182 0.947356i \(-0.603744\pi\)
\(18\) −0.856857 0.515554i −0.201963 0.121517i
\(19\) −4.45939 + 1.50254i −1.02305 + 0.344707i −0.780317 0.625385i \(-0.784942\pi\)
−0.242738 + 0.970092i \(0.578046\pi\)
\(20\) −1.26721 1.20036i −0.283356 0.268409i
\(21\) 0.338231 2.06312i 0.0738080 0.450209i
\(22\) 4.39428 + 0.477907i 0.936864 + 0.101890i
\(23\) 7.68994 4.62688i 1.60346 0.964772i 0.619799 0.784761i \(-0.287214\pi\)
0.983665 0.180011i \(-0.0576134\pi\)
\(24\) −0.647386 + 0.762162i −0.132147 + 0.155576i
\(25\) −1.77278 + 0.820177i −0.354557 + 0.164035i
\(26\) 0.434366 + 0.200959i 0.0851861 + 0.0394113i
\(27\) −0.647386 0.762162i −0.124590 0.146678i
\(28\) −1.98122 0.667550i −0.374415 0.126155i
\(29\) 4.74762 + 8.95495i 0.881610 + 1.66289i 0.739620 + 0.673025i \(0.235005\pi\)
0.141990 + 0.989868i \(0.454650\pi\)
\(30\) −0.817595 1.54215i −0.149272 0.281556i
\(31\) −8.67584 2.92323i −1.55823 0.525028i −0.597345 0.801984i \(-0.703778\pi\)
−0.960882 + 0.276957i \(0.910674\pi\)
\(32\) 0.647386 + 0.762162i 0.114443 + 0.134732i
\(33\) 4.01166 + 1.85599i 0.698340 + 0.323087i
\(34\) −6.19837 + 2.86767i −1.06301 + 0.491802i
\(35\) 2.36243 2.78127i 0.399324 0.470121i
\(36\) −0.856857 + 0.515554i −0.142810 + 0.0859256i
\(37\) 4.22692 + 0.459705i 0.694901 + 0.0755750i 0.448751 0.893657i \(-0.351869\pi\)
0.246150 + 0.969232i \(0.420835\pi\)
\(38\) −0.761301 + 4.64373i −0.123499 + 0.753313i
\(39\) 0.347461 + 0.329133i 0.0556384 + 0.0527034i
\(40\) −1.65410 + 0.557333i −0.261537 + 0.0881220i
\(41\) 0.512136 + 0.308142i 0.0799821 + 0.0481237i 0.554983 0.831862i \(-0.312725\pi\)
−0.475001 + 0.879985i \(0.657552\pi\)
\(42\) −1.66436 1.26521i −0.256816 0.195226i
\(43\) 1.50287 3.77193i 0.229186 0.575214i −0.768742 0.639560i \(-0.779117\pi\)
0.997928 + 0.0643457i \(0.0204960\pi\)
\(44\) 2.48056 3.65854i 0.373958 0.551546i
\(45\) −0.282386 1.72248i −0.0420957 0.256772i
\(46\) −0.485874 8.96143i −0.0716383 1.32129i
\(47\) −10.0104 2.20345i −1.46016 0.321406i −0.587297 0.809371i \(-0.699808\pi\)
−0.872863 + 0.487966i \(0.837739\pi\)
\(48\) 0.370138 + 0.928977i 0.0534248 + 0.134086i
\(49\) −0.703373 + 2.53332i −0.100482 + 0.361903i
\(50\) −0.105751 + 1.95045i −0.0149554 + 0.275836i
\(51\) −6.78956 + 0.738409i −0.950729 + 0.103398i
\(52\) 0.381010 0.289636i 0.0528366 0.0401653i
\(53\) 3.85133 + 13.8712i 0.529020 + 1.90536i 0.408837 + 0.912608i \(0.365935\pi\)
0.120184 + 0.992752i \(0.461652\pi\)
\(54\) −0.976621 + 0.214970i −0.132901 + 0.0292538i
\(55\) 4.32975 + 6.38590i 0.583823 + 0.861074i
\(56\) −1.51781 + 1.43774i −0.202826 + 0.192127i
\(57\) −2.20420 + 4.15756i −0.291953 + 0.550683i
\(58\) 10.1356 1.33087
\(59\) 6.58392 + 3.95626i 0.857153 + 0.515062i
\(60\) −1.74547 −0.225340
\(61\) −0.810416 + 1.52861i −0.103763 + 0.195718i −0.929957 0.367667i \(-0.880157\pi\)
0.826194 + 0.563385i \(0.190501\pi\)
\(62\) −6.64655 + 6.29594i −0.844112 + 0.799586i
\(63\) −1.17325 1.73041i −0.147816 0.218012i
\(64\) 0.976621 0.214970i 0.122078 0.0268713i
\(65\) 0.223489 + 0.804934i 0.0277204 + 0.0998398i
\(66\) 3.51888 2.67499i 0.433145 0.329268i
\(67\) −7.75360 + 0.843255i −0.947253 + 0.103020i −0.568687 0.822554i \(-0.692548\pi\)
−0.378566 + 0.925574i \(0.623583\pi\)
\(68\) −0.369747 + 6.81958i −0.0448384 + 0.826995i
\(69\) 2.40096 8.64746i 0.289041 1.04103i
\(70\) −1.35070 3.39001i −0.161440 0.405184i
\(71\) 8.30561 + 1.82820i 0.985695 + 0.216968i 0.678437 0.734659i \(-0.262658\pi\)
0.307258 + 0.951626i \(0.400589\pi\)
\(72\) 0.0541389 + 0.998533i 0.00638033 + 0.117678i
\(73\) −0.225672 1.37654i −0.0264129 0.161111i 0.970327 0.241798i \(-0.0777370\pi\)
−0.996740 + 0.0806864i \(0.974289\pi\)
\(74\) 2.38608 3.51920i 0.277376 0.409099i
\(75\) −0.722998 + 1.81459i −0.0834846 + 0.209531i
\(76\) 3.74619 + 2.84778i 0.429718 + 0.326663i
\(77\) 7.91831 + 4.76429i 0.902375 + 0.542941i
\(78\) 0.453547 0.152818i 0.0513541 0.0173032i
\(79\) −0.882699 0.836137i −0.0993114 0.0940728i 0.636433 0.771332i \(-0.280409\pi\)
−0.735745 + 0.677259i \(0.763168\pi\)
\(80\) −0.282386 + 1.72248i −0.0315718 + 0.192579i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) 0.512136 0.308142i 0.0565559 0.0340286i
\(83\) 5.95093 7.00597i 0.653199 0.769005i −0.331465 0.943468i \(-0.607543\pi\)
0.984664 + 0.174462i \(0.0558187\pi\)
\(84\) −1.89743 + 0.877844i −0.207026 + 0.0957806i
\(85\) −10.8191 5.00545i −1.17350 0.542917i
\(86\) −2.62859 3.09461i −0.283448 0.333701i
\(87\) 9.60506 + 3.23632i 1.02977 + 0.346970i
\(88\) −2.07046 3.90529i −0.220711 0.416306i
\(89\) 5.12276 + 9.66255i 0.543011 + 1.02423i 0.991459 + 0.130419i \(0.0416322\pi\)
−0.448448 + 0.893809i \(0.648023\pi\)
\(90\) −1.65410 0.557333i −0.174358 0.0587480i
\(91\) 0.647767 + 0.762611i 0.0679045 + 0.0799433i
\(92\) −8.14512 3.76833i −0.849187 0.392876i
\(93\) −8.30893 + 3.84412i −0.861596 + 0.398617i
\(94\) −6.63570 + 7.81216i −0.684421 + 0.805762i
\(95\) −7.03798 + 4.23461i −0.722082 + 0.434462i
\(96\) 0.994138 + 0.108119i 0.101464 + 0.0110349i
\(97\) 0.0801690 0.489009i 0.00813992 0.0496513i −0.982444 0.186556i \(-0.940267\pi\)
0.990584 + 0.136905i \(0.0437155\pi\)
\(98\) 1.90875 + 1.80807i 0.192813 + 0.182642i
\(99\) 4.18881 1.41137i 0.420991 0.141848i
\(100\) 1.67372 + 1.00704i 0.167372 + 0.100704i
\(101\) −0.242401 0.184269i −0.0241198 0.0183354i 0.593045 0.805169i \(-0.297926\pi\)
−0.617165 + 0.786834i \(0.711719\pi\)
\(102\) −2.52789 + 6.34453i −0.250299 + 0.628203i
\(103\) −2.42805 + 3.58110i −0.239242 + 0.352856i −0.928288 0.371862i \(-0.878720\pi\)
0.689046 + 0.724718i \(0.258030\pi\)
\(104\) −0.0774289 0.472295i −0.00759252 0.0463123i
\(105\) −0.197563 3.64384i −0.0192802 0.355602i
\(106\) 14.0594 + 3.09471i 1.36557 + 0.300584i
\(107\) −2.69937 6.77490i −0.260958 0.654955i 0.738864 0.673855i \(-0.235363\pi\)
−0.999821 + 0.0189003i \(0.993983\pi\)
\(108\) −0.267528 + 0.963550i −0.0257429 + 0.0927176i
\(109\) 0.169602 3.12813i 0.0162449 0.299620i −0.979109 0.203336i \(-0.934822\pi\)
0.995354 0.0962841i \(-0.0306957\pi\)
\(110\) 7.67011 0.834174i 0.731316 0.0795354i
\(111\) 3.38486 2.57310i 0.321277 0.244228i
\(112\) 0.559310 + 2.01445i 0.0528498 + 0.190348i
\(113\) −3.90968 + 0.860585i −0.367792 + 0.0809571i −0.395021 0.918672i \(-0.629263\pi\)
0.0272292 + 0.999629i \(0.491332\pi\)
\(114\) 2.64079 + 3.89487i 0.247333 + 0.364788i
\(115\) 11.3727 10.7728i 1.06051 1.00456i
\(116\) 4.74762 8.95495i 0.440805 0.831446i
\(117\) 0.478600 0.0442466
\(118\) 6.57937 3.96382i 0.605680 0.364900i
\(119\) −14.2783 −1.30889
\(120\) −0.817595 + 1.54215i −0.0746359 + 0.140778i
\(121\) −6.19863 + 5.87165i −0.563511 + 0.533786i
\(122\) 0.970936 + 1.43202i 0.0879044 + 0.129649i
\(123\) 0.583717 0.128486i 0.0526320 0.0115852i
\(124\) 2.44924 + 8.82138i 0.219949 + 0.792183i
\(125\) −9.66205 + 7.34490i −0.864200 + 0.656948i
\(126\) −2.07840 + 0.226040i −0.185159 + 0.0201372i
\(127\) 0.557293 10.2787i 0.0494517 0.912084i −0.863584 0.504205i \(-0.831786\pi\)
0.913036 0.407879i \(-0.133732\pi\)
\(128\) 0.267528 0.963550i 0.0236464 0.0851666i
\(129\) −1.50287 3.77193i −0.132321 0.332100i
\(130\) 0.815853 + 0.179583i 0.0715551 + 0.0157505i
\(131\) −0.0765128 1.41119i −0.00668495 0.123297i −0.999971 0.00761271i \(-0.997577\pi\)
0.993286 0.115684i \(-0.0369060\pi\)
\(132\) −0.715108 4.36196i −0.0622421 0.379660i
\(133\) −5.52099 + 8.14285i −0.478730 + 0.706074i
\(134\) −2.88683 + 7.24539i −0.249384 + 0.625906i
\(135\) −1.38956 1.05632i −0.119594 0.0909132i
\(136\) 5.85199 + 3.52102i 0.501804 + 0.301925i
\(137\) 17.5249 5.90482i 1.49725 0.504483i 0.552851 0.833280i \(-0.313540\pi\)
0.944401 + 0.328797i \(0.106643\pi\)
\(138\) −6.51551 6.17182i −0.554637 0.525380i
\(139\) −1.84546 + 11.2568i −0.156530 + 0.954793i 0.785401 + 0.618987i \(0.212457\pi\)
−0.941931 + 0.335805i \(0.890992\pi\)
\(140\) −3.62780 0.394547i −0.306605 0.0333453i
\(141\) −8.78278 + 5.28442i −0.739643 + 0.445029i
\(142\) 5.50566 6.48176i 0.462025 0.543937i
\(143\) −1.91998 + 0.888277i −0.160557 + 0.0742815i
\(144\) 0.907575 + 0.419889i 0.0756313 + 0.0349908i
\(145\) 11.4532 + 13.4838i 0.951139 + 1.11977i
\(146\) −1.32189 0.445397i −0.109401 0.0368613i
\(147\) 1.23152 + 2.32289i 0.101574 + 0.191589i
\(148\) −1.99160 3.75655i −0.163708 0.308787i
\(149\) −17.7144 5.96869i −1.45122 0.488974i −0.520234 0.854024i \(-0.674155\pi\)
−0.930988 + 0.365050i \(0.881052\pi\)
\(150\) 1.26455 + 1.48875i 0.103250 + 0.121556i
\(151\) −13.5764 6.28113i −1.10483 0.511151i −0.219269 0.975665i \(-0.570367\pi\)
−0.885566 + 0.464514i \(0.846229\pi\)
\(152\) 4.27080 1.97588i 0.346407 0.160265i
\(153\) −4.42139 + 5.20526i −0.357448 + 0.420820i
\(154\) 7.91831 4.76429i 0.638076 0.383917i
\(155\) −15.8863 1.72774i −1.27602 0.138775i
\(156\) 0.0774289 0.472295i 0.00619927 0.0378139i
\(157\) 2.99247 + 2.83462i 0.238825 + 0.226227i 0.797746 0.602994i \(-0.206026\pi\)
−0.558921 + 0.829221i \(0.688784\pi\)
\(158\) −1.15220 + 0.388222i −0.0916642 + 0.0308853i
\(159\) 12.3353 + 7.42189i 0.978251 + 0.588594i
\(160\) 1.38956 + 1.05632i 0.109854 + 0.0835091i
\(161\) 6.94482 17.4302i 0.547329 1.37369i
\(162\) −0.561187 + 0.827689i −0.0440910 + 0.0650294i
\(163\) −4.04844 24.6944i −0.317098 1.93421i −0.354842 0.934926i \(-0.615465\pi\)
0.0377435 0.999287i \(-0.487983\pi\)
\(164\) −0.0323583 0.596814i −0.00252676 0.0466034i
\(165\) 7.53495 + 1.65857i 0.586595 + 0.129119i
\(166\) −3.40240 8.53937i −0.264077 0.662784i
\(167\) 2.62758 9.46370i 0.203329 0.732323i −0.789601 0.613620i \(-0.789713\pi\)
0.992930 0.118703i \(-0.0378736\pi\)
\(168\) −0.113186 + 2.08759i −0.00873248 + 0.161061i
\(169\) 12.6961 1.38078i 0.976621 0.106214i
\(170\) −9.49013 + 7.21421i −0.727860 + 0.553305i
\(171\) 1.25891 + 4.53420i 0.0962716 + 0.346739i
\(172\) −3.96538 + 0.872846i −0.302357 + 0.0665539i
\(173\) −13.2205 19.4988i −1.00513 1.48246i −0.870868 0.491517i \(-0.836442\pi\)
−0.134267 0.990945i \(-0.542868\pi\)
\(174\) 7.35842 6.97027i 0.557841 0.528415i
\(175\) −1.91285 + 3.60802i −0.144598 + 0.272740i
\(176\) −4.42019 −0.333185
\(177\) 7.50061 1.65553i 0.563781 0.124437i
\(178\) 10.9365 0.819727
\(179\) 3.90881 7.37280i 0.292158 0.551069i −0.693370 0.720582i \(-0.743875\pi\)
0.985528 + 0.169513i \(0.0542195\pi\)
\(180\) −1.26721 + 1.20036i −0.0944520 + 0.0894697i
\(181\) −9.34848 13.7880i −0.694867 1.02485i −0.997425 0.0717208i \(-0.977151\pi\)
0.302558 0.953131i \(-0.402159\pi\)
\(182\) 0.977195 0.215097i 0.0724345 0.0159440i
\(183\) 0.462863 + 1.66708i 0.0342159 + 0.123234i
\(184\) −7.14461 + 5.43119i −0.526707 + 0.400393i
\(185\) 7.37798 0.802403i 0.542440 0.0589939i
\(186\) −0.495646 + 9.14166i −0.0363425 + 0.670299i
\(187\) 8.07618 29.0878i 0.590589 2.12711i
\(188\) 3.79391 + 9.52200i 0.276700 + 0.694464i
\(189\) −2.04178 0.449429i −0.148518 0.0326912i
\(190\) 0.444682 + 8.20167i 0.0322606 + 0.595012i
\(191\) 1.26383 + 7.70903i 0.0914476 + 0.557806i 0.992318 + 0.123717i \(0.0394814\pi\)
−0.900870 + 0.434089i \(0.857070\pi\)
\(192\) 0.561187 0.827689i 0.0405002 0.0597333i
\(193\) −6.96783 + 17.4879i −0.501555 + 1.25881i 0.432485 + 0.901641i \(0.357637\pi\)
−0.934040 + 0.357168i \(0.883742\pi\)
\(194\) −0.394494 0.299886i −0.0283230 0.0215306i
\(195\) 0.715805 + 0.430685i 0.0512598 + 0.0308420i
\(196\) 2.49153 0.839493i 0.177966 0.0599638i
\(197\) −3.35331 3.17643i −0.238914 0.226311i 0.558869 0.829256i \(-0.311235\pi\)
−0.797783 + 0.602945i \(0.793994\pi\)
\(198\) 0.715108 4.36196i 0.0508205 0.309991i
\(199\) −16.3667 1.77999i −1.16021 0.126180i −0.492300 0.870426i \(-0.663844\pi\)
−0.667906 + 0.744246i \(0.732809\pi\)
\(200\) 1.67372 1.00704i 0.118350 0.0712086i
\(201\) −5.04917 + 5.94435i −0.356141 + 0.419282i
\(202\) −0.276346 + 0.127851i −0.0194437 + 0.00899560i
\(203\) 19.2316 + 8.89750i 1.34980 + 0.624482i
\(204\) 4.42139 + 5.20526i 0.309559 + 0.364441i
\(205\) 0.988643 + 0.333113i 0.0690498 + 0.0232656i
\(206\) 2.02663 + 3.82262i 0.141202 + 0.266335i
\(207\) −4.20377 7.92916i −0.292182 0.551114i
\(208\) −0.453547 0.152818i −0.0314478 0.0105960i
\(209\) −13.4658 15.8531i −0.931446 1.09658i
\(210\) −3.31191 1.53225i −0.228544 0.105736i
\(211\) 11.1865 5.17541i 0.770108 0.356290i 0.00482876 0.999988i \(-0.498463\pi\)
0.765279 + 0.643698i \(0.222601\pi\)
\(212\) 9.31975 10.9721i 0.640083 0.753564i
\(213\) 7.28709 4.38450i 0.499303 0.300421i
\(214\) −7.25012 0.788498i −0.495608 0.0539006i
\(215\) 1.14657 6.99380i 0.0781958 0.476973i
\(216\) 0.725995 + 0.687699i 0.0493977 + 0.0467920i
\(217\) −18.1382 + 6.11148i −1.23130 + 0.414874i
\(218\) −2.68430 1.61509i −0.181803 0.109388i
\(219\) −1.11048 0.844164i −0.0750392 0.0570433i
\(220\) 2.85574 7.16737i 0.192534 0.483224i
\(221\) 1.83432 2.70542i 0.123390 0.181986i
\(222\) −0.687871 4.19583i −0.0461669 0.281606i
\(223\) 0.827444 + 15.2613i 0.0554098 + 1.02197i 0.885587 + 0.464474i \(0.153756\pi\)
−0.830177 + 0.557500i \(0.811761\pi\)
\(224\) 2.04178 + 0.449429i 0.136422 + 0.0300288i
\(225\) 0.722998 + 1.81459i 0.0481999 + 0.120973i
\(226\) −1.07099 + 3.85735i −0.0712411 + 0.256587i
\(227\) 0.215878 3.98164i 0.0143283 0.264271i −0.982588 0.185798i \(-0.940513\pi\)
0.996916 0.0784725i \(-0.0250043\pi\)
\(228\) 4.67814 0.508778i 0.309817 0.0336947i
\(229\) 8.01067 6.08955i 0.529360 0.402409i −0.306067 0.952010i \(-0.599013\pi\)
0.835427 + 0.549601i \(0.185220\pi\)
\(230\) −4.19081 15.0939i −0.276334 0.995264i
\(231\) 9.02506 1.98656i 0.593805 0.130706i
\(232\) −5.68799 8.38915i −0.373435 0.550775i
\(233\) −2.43404 + 2.30564i −0.159459 + 0.151048i −0.763269 0.646080i \(-0.776407\pi\)
0.603810 + 0.797128i \(0.293648\pi\)
\(234\) 0.224180 0.422849i 0.0146551 0.0276425i
\(235\) −17.8911 −1.16709
\(236\) −0.420255 7.66964i −0.0273563 0.499251i
\(237\) −1.21585 −0.0789777
\(238\) −6.68810 + 12.6151i −0.433525 + 0.817715i
\(239\) 4.74080 4.49072i 0.306657 0.290481i −0.518859 0.854860i \(-0.673643\pi\)
0.825516 + 0.564379i \(0.190884\pi\)
\(240\) 0.979538 + 1.44471i 0.0632289 + 0.0932556i
\(241\) −6.13025 + 1.34937i −0.394884 + 0.0869205i −0.407973 0.912994i \(-0.633764\pi\)
0.0130895 + 0.999914i \(0.495833\pi\)
\(242\) 2.28418 + 8.22689i 0.146833 + 0.528845i
\(243\) −0.796093 + 0.605174i −0.0510694 + 0.0388219i
\(244\) 1.72001 0.187062i 0.110112 0.0119754i
\(245\) −0.248450 + 4.58239i −0.0158729 + 0.292758i
\(246\) 0.159899 0.575905i 0.0101948 0.0367184i
\(247\) −0.833610 2.09220i −0.0530413 0.133124i
\(248\) 8.94104 + 1.96807i 0.567757 + 0.124973i
\(249\) −0.497657 9.17875i −0.0315378 0.581680i
\(250\) 1.96352 + 11.9770i 0.124184 + 0.757489i
\(251\) −5.37387 + 7.92586i −0.339195 + 0.500276i −0.958584 0.284808i \(-0.908070\pi\)
0.619389 + 0.785084i \(0.287380\pi\)
\(252\) −0.773832 + 1.94217i −0.0487468 + 0.122345i
\(253\) 31.5805 + 24.0069i 1.98545 + 1.50930i
\(254\) −8.82028 5.30699i −0.553434 0.332990i
\(255\) −11.2969 + 3.80636i −0.707437 + 0.238363i
\(256\) −0.725995 0.687699i −0.0453747 0.0429812i
\(257\) −0.204701 + 1.24862i −0.0127689 + 0.0778869i −0.992442 0.122713i \(-0.960841\pi\)
0.979673 + 0.200599i \(0.0642890\pi\)
\(258\) −4.03650 0.438996i −0.251302 0.0273307i
\(259\) 7.61672 4.58283i 0.473280 0.284763i
\(260\) 0.540816 0.636698i 0.0335400 0.0394863i
\(261\) 9.19885 4.25584i 0.569395 0.263430i
\(262\) −1.28265 0.593416i −0.0792422 0.0366613i
\(263\) −10.0972 11.8874i −0.622622 0.733007i 0.356945 0.934125i \(-0.383818\pi\)
−0.979567 + 0.201118i \(0.935542\pi\)
\(264\) −4.18881 1.41137i −0.257803 0.0868641i
\(265\) 11.7701 + 22.2007i 0.723029 + 1.36378i
\(266\) 4.60823 + 8.69204i 0.282549 + 0.532943i
\(267\) 10.3640 + 3.49205i 0.634268 + 0.213710i
\(268\) 5.04917 + 5.94435i 0.308427 + 0.363109i
\(269\) −9.81600 4.54137i −0.598492 0.276892i 0.0971622 0.995269i \(-0.469023\pi\)
−0.695654 + 0.718377i \(0.744886\pi\)
\(270\) −1.58415 + 0.732906i −0.0964083 + 0.0446032i
\(271\) 13.6358 16.0533i 0.828314 0.975167i −0.171636 0.985160i \(-0.554905\pi\)
0.999950 + 0.00999383i \(0.00318119\pi\)
\(272\) 5.85199 3.52102i 0.354829 0.213493i
\(273\) 0.994723 + 0.108183i 0.0602034 + 0.00654751i
\(274\) 2.99182 18.2493i 0.180743 1.10248i
\(275\) −6.26828 5.93763i −0.377991 0.358052i
\(276\) −8.50480 + 2.86560i −0.511929 + 0.172489i
\(277\) 7.97110 + 4.79605i 0.478937 + 0.288167i 0.734479 0.678631i \(-0.237426\pi\)
−0.255542 + 0.966798i \(0.582254\pi\)
\(278\) 9.08112 + 6.90329i 0.544649 + 0.414032i
\(279\) −3.38865 + 8.50486i −0.202873 + 0.509173i
\(280\) −2.04788 + 3.02039i −0.122384 + 0.180503i
\(281\) 0.496851 + 3.03066i 0.0296397 + 0.180794i 0.997497 0.0707048i \(-0.0225248\pi\)
−0.967858 + 0.251499i \(0.919077\pi\)
\(282\) 0.554923 + 10.2350i 0.0330452 + 0.609483i
\(283\) 7.31126 + 1.60933i 0.434609 + 0.0956647i 0.426886 0.904305i \(-0.359611\pi\)
0.00772317 + 0.999970i \(0.497542\pi\)
\(284\) −3.14782 7.90043i −0.186789 0.468804i
\(285\) −2.19740 + 7.91433i −0.130163 + 0.468804i
\(286\) −0.114531 + 2.11240i −0.00677237 + 0.124909i
\(287\) 1.24224 0.135102i 0.0733272 0.00797481i
\(288\) 0.796093 0.605174i 0.0469102 0.0356602i
\(289\) 7.93044 + 28.5629i 0.466497 + 1.68017i
\(290\) 17.2779 3.80315i 1.01459 0.223328i
\(291\) −0.278089 0.410150i −0.0163019 0.0240434i
\(292\) −1.01270 + 0.959280i −0.0592637 + 0.0561376i
\(293\) −11.2475 + 21.2150i −0.657084 + 1.23939i 0.301197 + 0.953562i \(0.402614\pi\)
−0.958281 + 0.285829i \(0.907731\pi\)
\(294\) 2.62915 0.153335
\(295\) 12.7079 + 4.27365i 0.739881 + 0.248822i
\(296\) −4.25184 −0.247133
\(297\) 2.07046 3.90529i 0.120140 0.226608i
\(298\) −13.5710 + 12.8551i −0.786146 + 0.744677i
\(299\) 2.41043 + 3.55512i 0.139399 + 0.205598i
\(300\) 1.90765 0.419906i 0.110138 0.0242433i
\(301\) −2.27097 8.17929i −0.130897 0.471447i
\(302\) −11.9088 + 9.05281i −0.685273 + 0.520931i
\(303\) −0.302704 + 0.0329210i −0.0173899 + 0.00189126i
\(304\) 0.254763 4.69882i 0.0146116 0.269496i
\(305\) −0.807916 + 2.90985i −0.0462612 + 0.166618i
\(306\) 2.52789 + 6.34453i 0.144510 + 0.362693i
\(307\) −18.3177 4.03204i −1.04545 0.230120i −0.341138 0.940013i \(-0.610812\pi\)
−0.704310 + 0.709893i \(0.748743\pi\)
\(308\) −0.500303 9.22755i −0.0285074 0.525789i
\(309\) 0.699970 + 4.26963i 0.0398199 + 0.242891i
\(310\) −8.96775 + 13.2264i −0.509334 + 0.751211i
\(311\) 1.67120 4.19439i 0.0947650 0.237842i −0.873951 0.486014i \(-0.838450\pi\)
0.968716 + 0.248172i \(0.0798297\pi\)
\(312\) −0.381010 0.289636i −0.0215705 0.0163974i
\(313\) 14.9986 + 9.02437i 0.847772 + 0.510087i 0.871936 0.489621i \(-0.162865\pi\)
−0.0241637 + 0.999708i \(0.507692\pi\)
\(314\) 3.90612 1.31612i 0.220435 0.0742732i
\(315\) −2.64929 2.50955i −0.149271 0.141397i
\(316\) −0.196702 + 1.19983i −0.0110654 + 0.0674957i
\(317\) 4.09481 + 0.445338i 0.229988 + 0.0250126i 0.222387 0.974958i \(-0.428615\pi\)
0.00760049 + 0.999971i \(0.497581\pi\)
\(318\) 12.3353 7.42189i 0.691728 0.416199i
\(319\) −29.0038 + 34.1460i −1.62390 + 1.91181i
\(320\) 1.58415 0.732906i 0.0885567 0.0409707i
\(321\) −6.61883 3.06220i −0.369427 0.170915i
\(322\) −12.1468 14.3003i −0.676913 0.796924i
\(323\) 30.4558 + 10.2618i 1.69461 + 0.570980i
\(324\) 0.468408 + 0.883512i 0.0260227 + 0.0490840i
\(325\) −0.437896 0.825959i −0.0242901 0.0458159i
\(326\) −23.7141 7.99022i −1.31340 0.442537i
\(327\) −2.02808 2.38764i −0.112153 0.132037i
\(328\) −0.542449 0.250964i −0.0299518 0.0138572i
\(329\) −19.4486 + 8.99790i −1.07224 + 0.496070i
\(330\) 4.99480 5.88033i 0.274955 0.323702i
\(331\) −3.61103 + 2.17269i −0.198480 + 0.119422i −0.611325 0.791380i \(-0.709363\pi\)
0.412844 + 0.910802i \(0.364535\pi\)
\(332\) −9.13835 0.993855i −0.501532 0.0545449i
\(333\) 0.687871 4.19583i 0.0376951 0.229930i
\(334\) −7.13051 6.75438i −0.390164 0.369583i
\(335\) −12.9009 + 4.34682i −0.704851 + 0.237492i
\(336\) 1.79139 + 1.07785i 0.0977286 + 0.0588013i
\(337\) −1.52782 1.16142i −0.0832257 0.0632666i 0.562734 0.826638i \(-0.309750\pi\)
−0.645960 + 0.763371i \(0.723543\pi\)
\(338\) 4.72701 11.8639i 0.257116 0.645312i
\(339\) −2.24658 + 3.31346i −0.122018 + 0.179963i
\(340\) 1.92858 + 11.7638i 0.104592 + 0.637984i
\(341\) −2.19085 40.4079i −0.118641 2.18821i
\(342\) 4.59571 + 1.01159i 0.248507 + 0.0547006i
\(343\) 7.45135 + 18.7015i 0.402335 + 1.00978i
\(344\) −1.08625 + 3.91231i −0.0585665 + 0.210938i
\(345\) 0.848081 15.6419i 0.0456592 0.842134i
\(346\) −23.4200 + 2.54707i −1.25907 + 0.136932i
\(347\) −8.12127 + 6.17363i −0.435973 + 0.331418i −0.800031 0.599958i \(-0.795184\pi\)
0.364059 + 0.931376i \(0.381391\pi\)
\(348\) −2.71157 9.76619i −0.145355 0.523523i
\(349\) 26.7523 5.88863i 1.43202 0.315211i 0.569815 0.821773i \(-0.307015\pi\)
0.862203 + 0.506562i \(0.169084\pi\)
\(350\) 2.29173 + 3.38005i 0.122498 + 0.180671i
\(351\) 0.347461 0.329133i 0.0185461 0.0175678i
\(352\) −2.07046 + 3.90529i −0.110356 + 0.208153i
\(353\) 4.01319 0.213601 0.106800 0.994280i \(-0.465939\pi\)
0.106800 + 0.994280i \(0.465939\pi\)
\(354\) 2.05067 7.40235i 0.108992 0.393430i
\(355\) 14.8443 0.787853
\(356\) 5.12276 9.66255i 0.271506 0.512114i
\(357\) −10.3660 + 9.81921i −0.548628 + 0.519688i
\(358\) −4.68304 6.90697i −0.247506 0.365045i
\(359\) 17.3215 3.81276i 0.914195 0.201230i 0.267127 0.963661i \(-0.413926\pi\)
0.647068 + 0.762432i \(0.275995\pi\)
\(360\) 0.466964 + 1.68185i 0.0246112 + 0.0886414i
\(361\) 2.50278 1.90256i 0.131725 0.100135i
\(362\) −16.5607 + 1.80109i −0.870413 + 0.0946631i
\(363\) −0.462244 + 8.52558i −0.0242615 + 0.447477i
\(364\) 0.267686 0.964117i 0.0140305 0.0505335i
\(365\) −0.901206 2.26186i −0.0471713 0.118391i
\(366\) 1.68970 + 0.371931i 0.0883219 + 0.0194411i
\(367\) −0.506438 9.34070i −0.0264359 0.487581i −0.981534 0.191290i \(-0.938733\pi\)
0.955098 0.296291i \(-0.0957498\pi\)
\(368\) 1.45193 + 8.85636i 0.0756869 + 0.461670i
\(369\) 0.335416 0.494702i 0.0174611 0.0257532i
\(370\) 2.74697 6.89438i 0.142808 0.358422i
\(371\) 23.9600 + 18.2139i 1.24394 + 0.945620i
\(372\) 7.84460 + 4.71994i 0.406723 + 0.244717i
\(373\) −7.60831 + 2.56354i −0.393943 + 0.132735i −0.509300 0.860589i \(-0.670096\pi\)
0.115357 + 0.993324i \(0.463199\pi\)
\(374\) −21.9164 20.7604i −1.13327 1.07349i
\(375\) −1.96352 + 11.9770i −0.101396 + 0.618487i
\(376\) 10.1899 + 1.10822i 0.525504 + 0.0571520i
\(377\) −4.15654 + 2.50091i −0.214073 + 0.128803i
\(378\) −1.35346 + 1.59342i −0.0696146 + 0.0819567i
\(379\) 22.8603 10.5763i 1.17425 0.543267i 0.266936 0.963714i \(-0.413989\pi\)
0.907317 + 0.420447i \(0.138127\pi\)
\(380\) 7.45457 + 3.44885i 0.382411 + 0.176922i
\(381\) −6.66404 7.84551i −0.341409 0.401938i
\(382\) 7.40301 + 2.49437i 0.378771 + 0.127623i
\(383\) 14.0199 + 26.4444i 0.716385 + 1.35125i 0.927515 + 0.373787i \(0.121941\pi\)
−0.211130 + 0.977458i \(0.567714\pi\)
\(384\) −0.468408 0.883512i −0.0239034 0.0450865i
\(385\) 15.2858 + 5.15037i 0.779034 + 0.262487i
\(386\) 12.1870 + 14.3477i 0.620302 + 0.730277i
\(387\) −3.68503 1.70488i −0.187321 0.0866638i
\(388\) −0.449737 + 0.208071i −0.0228319 + 0.0105632i
\(389\) −11.0699 + 13.0325i −0.561267 + 0.660775i −0.967463 0.253011i \(-0.918579\pi\)
0.406196 + 0.913786i \(0.366855\pi\)
\(390\) 0.715805 0.430685i 0.0362462 0.0218086i
\(391\) −60.9335 6.62692i −3.08154 0.335138i
\(392\) 0.425350 2.59452i 0.0214834 0.131043i
\(393\) −1.02603 0.971903i −0.0517562 0.0490260i
\(394\) −4.37713 + 1.47483i −0.220517 + 0.0743007i
\(395\) −1.81845 1.09412i −0.0914960 0.0550513i
\(396\) −3.51888 2.67499i −0.176831 0.134423i
\(397\) −7.77958 + 19.5253i −0.390446 + 0.979945i 0.594033 + 0.804441i \(0.297535\pi\)
−0.984479 + 0.175504i \(0.943844\pi\)
\(398\) −9.23895 + 13.6264i −0.463107 + 0.683031i
\(399\) 1.59162 + 9.70845i 0.0796806 + 0.486030i
\(400\) −0.105751 1.95045i −0.00528753 0.0975227i
\(401\) −15.3796 3.38530i −0.768020 0.169054i −0.186355 0.982482i \(-0.559668\pi\)
−0.581665 + 0.813428i \(0.697599\pi\)
\(402\) 2.88683 + 7.24539i 0.143982 + 0.361367i
\(403\) 1.17221 4.22191i 0.0583918 0.210308i
\(404\) −0.0164847 + 0.304042i −0.000820144 + 0.0151267i
\(405\) −1.73524 + 0.188719i −0.0862249 + 0.00937752i
\(406\) 16.8693 12.8237i 0.837210 0.636431i
\(407\) 5.02792 + 18.1089i 0.249225 + 0.897626i
\(408\) 6.66992 1.46816i 0.330210 0.0726848i
\(409\) −7.45867 11.0007i −0.368807 0.543950i 0.597324 0.802000i \(-0.296231\pi\)
−0.966132 + 0.258050i \(0.916920\pi\)
\(410\) 0.757398 0.717445i 0.0374052 0.0354321i
\(411\) 8.66224 16.3387i 0.427277 0.805930i
\(412\) 4.32662 0.213157
\(413\) 15.9635 1.74542i 0.785513 0.0858863i
\(414\) −8.97459 −0.441077
\(415\) 7.51552 14.1758i 0.368923 0.695862i
\(416\) −0.347461 + 0.329133i −0.0170357 + 0.0161371i
\(417\) 6.40152 + 9.44154i 0.313484 + 0.462354i
\(418\) −20.3139 + 4.47143i −0.993585 + 0.218705i
\(419\) −6.36226 22.9148i −0.310817 1.11946i −0.939711 0.341970i \(-0.888906\pi\)
0.628894 0.777491i \(-0.283508\pi\)
\(420\) −2.90509 + 2.20839i −0.141754 + 0.107759i
\(421\) −12.5289 + 1.36260i −0.610621 + 0.0664091i −0.408205 0.912890i \(-0.633845\pi\)
−0.202417 + 0.979299i \(0.564880\pi\)
\(422\) 0.667298 12.3076i 0.0324835 0.599124i
\(423\) −2.74216 + 9.87638i −0.133329 + 0.480206i
\(424\) −5.32849 13.3735i −0.258775 0.649475i
\(425\) 13.0285 + 2.86779i 0.631974 + 0.139108i
\(426\) −0.460421 8.49197i −0.0223075 0.411437i
\(427\) 0.585189 + 3.56949i 0.0283193 + 0.172740i
\(428\) −4.09266 + 6.03623i −0.197826 + 0.291772i
\(429\) −0.783029 + 1.96525i −0.0378050 + 0.0948834i
\(430\) −5.64204 4.28897i −0.272083 0.206832i
\(431\) −8.00585 4.81696i −0.385628 0.232025i 0.309517 0.950894i \(-0.399832\pi\)
−0.695146 + 0.718869i \(0.744660\pi\)
\(432\) 0.947653 0.319302i 0.0455940 0.0153624i
\(433\) −8.27204 7.83569i −0.397529 0.376559i 0.462659 0.886536i \(-0.346895\pi\)
−0.860188 + 0.509977i \(0.829654\pi\)
\(434\) −3.09653 + 18.8880i −0.148638 + 0.906653i
\(435\) 17.5878 + 1.91279i 0.843269 + 0.0917111i
\(436\) −2.68430 + 1.61509i −0.128554 + 0.0773487i
\(437\) −27.3404 + 32.1876i −1.30787 + 1.53974i
\(438\) −1.26599 + 0.585708i −0.0604912 + 0.0279862i
\(439\) 18.9766 + 8.77951i 0.905704 + 0.419023i 0.816736 0.577011i \(-0.195781\pi\)
0.0889678 + 0.996035i \(0.471643\pi\)
\(440\) −4.99480 5.88033i −0.238118 0.280334i
\(441\) 2.49153 + 0.839493i 0.118644 + 0.0399758i
\(442\) −1.53106 2.88789i −0.0728251 0.137363i
\(443\) 10.7633 + 20.3017i 0.511378 + 0.964561i 0.995959 + 0.0898143i \(0.0286273\pi\)
−0.484581 + 0.874747i \(0.661028\pi\)
\(444\) −4.02927 1.35762i −0.191221 0.0644298i
\(445\) 12.3582 + 14.5492i 0.585836 + 0.689700i
\(446\) 13.8711 + 6.41747i 0.656817 + 0.303876i
\(447\) −16.9653 + 7.84896i −0.802429 + 0.371243i
\(448\) 1.35346 1.59342i 0.0639451 0.0752820i
\(449\) 18.8895 11.3654i 0.891451 0.536369i 0.00541565 0.999985i \(-0.498276\pi\)
0.886036 + 0.463617i \(0.153449\pi\)
\(450\) 1.94187 + 0.211191i 0.0915406 + 0.00995564i
\(451\) −0.427413 + 2.60711i −0.0201261 + 0.122764i
\(452\) 2.90636 + 2.75305i 0.136704 + 0.129493i
\(453\) −14.1760 + 4.77644i −0.666045 + 0.224417i
\(454\) −3.41671 2.05576i −0.160354 0.0964817i
\(455\) 1.39038 + 1.05694i 0.0651819 + 0.0495500i
\(456\) 1.74177 4.37151i 0.0815657 0.204715i
\(457\) 16.5429 24.3989i 0.773843 1.14133i −0.212586 0.977142i \(-0.568189\pi\)
0.986429 0.164190i \(-0.0525011\pi\)
\(458\) −1.62793 9.92992i −0.0760681 0.463995i
\(459\) 0.369747 + 6.81958i 0.0172583 + 0.318311i
\(460\) −15.2987 3.36749i −0.713304 0.157010i
\(461\) −3.48849 8.75544i −0.162475 0.407782i 0.825088 0.565004i \(-0.191125\pi\)
−0.987563 + 0.157222i \(0.949746\pi\)
\(462\) 2.47226 8.90427i 0.115020 0.414264i
\(463\) 0.302031 5.57063i 0.0140366 0.258889i −0.983089 0.183127i \(-0.941378\pi\)
0.997126 0.0757625i \(-0.0241391\pi\)
\(464\) −10.0762 + 1.09585i −0.467777 + 0.0508738i
\(465\) −12.7215 + 9.67066i −0.589947 + 0.448466i
\(466\) 0.896940 + 3.23049i 0.0415500 + 0.149649i
\(467\) 10.1768 2.24008i 0.470926 0.103659i 0.0268343 0.999640i \(-0.491457\pi\)
0.444092 + 0.895981i \(0.353526\pi\)
\(468\) −0.268584 0.396132i −0.0124153 0.0183112i
\(469\) −11.8379 + 11.2134i −0.546622 + 0.517788i
\(470\) −8.38034 + 15.8070i −0.386556 + 0.729123i
\(471\) 4.12188 0.189926
\(472\) −6.97307 3.22122i −0.320962 0.148269i
\(473\) 17.9473 0.825219
\(474\) −0.569513 + 1.07422i −0.0261586 + 0.0493403i
\(475\) 6.67319 6.32118i 0.306187 0.290036i
\(476\) 8.01282 + 11.8180i 0.367267 + 0.541678i
\(477\) 14.0594 3.09471i 0.643735 0.141697i
\(478\) −1.74698 6.29205i −0.0799049 0.287792i
\(479\) −31.5808 + 24.0071i −1.44296 + 1.09691i −0.465684 + 0.884951i \(0.654192\pi\)
−0.977278 + 0.211961i \(0.932015\pi\)
\(480\) 1.73524 0.188719i 0.0792026 0.00861380i
\(481\) −0.110169 + 2.03195i −0.00502327 + 0.0926488i
\(482\) −1.67927 + 6.04820i −0.0764889 + 0.275488i
\(483\) −6.94482 17.4302i −0.316000 0.793101i
\(484\) 8.33849 + 1.83544i 0.379022 + 0.0834291i
\(485\) −0.0468273 0.863679i −0.00212632 0.0392176i
\(486\) 0.161782 + 0.986827i 0.00733858 + 0.0447634i
\(487\) 19.2286 28.3601i 0.871331 1.28512i −0.0860509 0.996291i \(-0.527425\pi\)
0.957382 0.288826i \(-0.0932649\pi\)
\(488\) 0.640394 1.60727i 0.0289893 0.0727575i
\(489\) −19.9215 15.1439i −0.900880 0.684831i
\(490\) 3.93222 + 2.36594i 0.177640 + 0.106882i
\(491\) −23.8983 + 8.05228i −1.07852 + 0.363394i −0.801821 0.597564i \(-0.796136\pi\)
−0.276694 + 0.960958i \(0.589239\pi\)
\(492\) −0.433921 0.411032i −0.0195627 0.0185307i
\(493\) 11.1989 68.3104i 0.504374 3.07654i
\(494\) −2.23896 0.243501i −0.100735 0.0109556i
\(495\) 6.61094 3.97767i 0.297140 0.178783i
\(496\) 5.92687 6.97766i 0.266125 0.313306i
\(497\) 16.1366 7.46557i 0.723824 0.334877i
\(498\) −8.34264 3.85972i −0.373843 0.172958i
\(499\) 4.89266 + 5.76008i 0.219025 + 0.257857i 0.860691 0.509128i \(-0.170032\pi\)
−0.641665 + 0.766985i \(0.721756\pi\)
\(500\) 11.5015 + 3.87531i 0.514363 + 0.173309i
\(501\) −4.60057 8.67759i −0.205538 0.387686i
\(502\) 4.48543 + 8.46041i 0.200194 + 0.377607i
\(503\) −8.83724 2.97761i −0.394033 0.132765i 0.115308 0.993330i \(-0.463214\pi\)
−0.509341 + 0.860565i \(0.670111\pi\)
\(504\) 1.35346 + 1.59342i 0.0602880 + 0.0709765i
\(505\) −0.482356 0.223162i −0.0214645 0.00993056i
\(506\) 36.0030 16.6568i 1.60053 0.740483i
\(507\) 8.26773 9.73353i 0.367183 0.432281i
\(508\) −8.82028 + 5.30699i −0.391337 + 0.235459i
\(509\) 24.1795 + 2.62968i 1.07174 + 0.116558i 0.626936 0.779071i \(-0.284309\pi\)
0.444801 + 0.895629i \(0.353274\pi\)
\(510\) −1.92858 + 11.7638i −0.0853992 + 0.520912i
\(511\) −2.11721 2.00552i −0.0936597 0.0887192i
\(512\) −0.947653 + 0.319302i −0.0418807 + 0.0141113i
\(513\) 4.03213 + 2.42605i 0.178023 + 0.107113i
\(514\) 1.00729 + 0.765721i 0.0444296 + 0.0337745i
\(515\) −2.79529 + 7.01564i −0.123175 + 0.309146i
\(516\) −2.27859 + 3.36067i −0.100309 + 0.147945i
\(517\) −7.32985 44.7101i −0.322366 1.96635i
\(518\) −0.481248 8.87611i −0.0211448 0.389994i
\(519\) −23.0073 5.06429i −1.00991 0.222298i
\(520\) −0.309208 0.776052i −0.0135596 0.0340321i
\(521\) 7.70181 27.7394i 0.337422 1.21529i −0.579085 0.815267i \(-0.696590\pi\)
0.916507 0.400018i \(-0.130996\pi\)
\(522\) 0.548732 10.1208i 0.0240173 0.442974i
\(523\) 32.8448 3.57209i 1.43620 0.156196i 0.643333 0.765587i \(-0.277551\pi\)
0.792870 + 0.609390i \(0.208586\pi\)
\(524\) −1.12509 + 0.855273i −0.0491499 + 0.0373628i
\(525\) 1.09251 + 3.93487i 0.0476811 + 0.171732i
\(526\) −15.2323 + 3.35288i −0.664159 + 0.146192i
\(527\) 35.0885 + 51.7517i 1.52848 + 2.25434i
\(528\) −3.20904 + 3.03976i −0.139656 + 0.132289i
\(529\) 26.9537 50.8401i 1.17190 2.21044i
\(530\) 25.1278 1.09148
\(531\) 4.30691 6.36008i 0.186904 0.276004i
\(532\) 9.83805 0.426534
\(533\) −0.133990 + 0.252733i −0.00580377 + 0.0109471i
\(534\) 7.93987 7.52104i 0.343592 0.325467i
\(535\) −7.14364 10.5361i −0.308846 0.455514i
\(536\) 7.61698 1.67662i 0.329003 0.0724191i
\(537\) −2.23249 8.04071i −0.0963392 0.346982i
\(538\) −8.61025 + 6.54534i −0.371214 + 0.282190i
\(539\) −11.5532 + 1.25649i −0.497633 + 0.0541209i
\(540\) −0.0944981 + 1.74291i −0.00406655 + 0.0750031i
\(541\) 0.642797 2.31514i 0.0276360 0.0995358i −0.948446 0.316939i \(-0.897345\pi\)
0.976082 + 0.217403i \(0.0697587\pi\)
\(542\) −7.79615 19.5669i −0.334873 0.840468i
\(543\) −16.2689 3.58106i −0.698167 0.153678i
\(544\) −0.369747 6.81958i −0.0158528 0.292387i
\(545\) −0.884638 5.39605i −0.0378937 0.231142i
\(546\) 0.561517 0.828176i 0.0240307 0.0354427i
\(547\) −6.20346 + 15.5695i −0.265241 + 0.665704i −0.999919 0.0127113i \(-0.995954\pi\)
0.734678 + 0.678416i \(0.237333\pi\)
\(548\) −14.7221 11.1914i −0.628897 0.478075i
\(549\) 1.48249 + 0.891984i 0.0632711 + 0.0380690i
\(550\) −8.18208 + 2.75686i −0.348885 + 0.117553i
\(551\) −34.6267 32.8001i −1.47515 1.39733i
\(552\) −1.45193 + 8.85636i −0.0617981 + 0.376952i
\(553\) −2.52702 0.274830i −0.107460 0.0116869i
\(554\) 7.97110 4.79605i 0.338660 0.203765i
\(555\) 4.80456 5.65637i 0.203942 0.240100i
\(556\) 10.3528 4.78972i 0.439057 0.203129i
\(557\) 0.274564 + 0.127027i 0.0116336 + 0.00538230i 0.425697 0.904866i \(-0.360029\pi\)
−0.414064 + 0.910248i \(0.635891\pi\)
\(558\) 5.92687 + 6.97766i 0.250905 + 0.295388i
\(559\) 1.84154 + 0.620487i 0.0778888 + 0.0262438i
\(560\) 1.70931 + 3.22410i 0.0722316 + 0.136243i
\(561\) −14.1404 26.6716i −0.597007 1.12607i
\(562\) 2.91035 + 0.980612i 0.122766 + 0.0413646i
\(563\) 6.95835 + 8.19200i 0.293259 + 0.345252i 0.888985 0.457936i \(-0.151411\pi\)
−0.595726 + 0.803188i \(0.703135\pi\)
\(564\) 9.30264 + 4.30386i 0.391712 + 0.181225i
\(565\) −6.34178 + 2.93402i −0.266801 + 0.123435i
\(566\) 4.84652 5.70576i 0.203714 0.239831i
\(567\) −1.79139 + 1.07785i −0.0752315 + 0.0452653i
\(568\) −8.45459 0.919492i −0.354747 0.0385810i
\(569\) 4.81279 29.3567i 0.201763 1.23070i −0.670592 0.741826i \(-0.733960\pi\)
0.872355 0.488873i \(-0.162592\pi\)
\(570\) 5.96312 + 5.64857i 0.249768 + 0.236593i
\(571\) −8.62962 + 2.90766i −0.361138 + 0.121682i −0.494021 0.869450i \(-0.664473\pi\)
0.132882 + 0.991132i \(0.457577\pi\)
\(572\) 1.81268 + 1.09066i 0.0757922 + 0.0456026i
\(573\) 6.21903 + 4.72759i 0.259804 + 0.197498i
\(574\) 0.462512 1.16082i 0.0193049 0.0484516i
\(575\) −9.83774 + 14.5096i −0.410262 + 0.605091i
\(576\) −0.161782 0.986827i −0.00674092 0.0411178i
\(577\) −0.694259 12.8049i −0.0289024 0.533073i −0.976754 0.214362i \(-0.931233\pi\)
0.947852 0.318711i \(-0.103250\pi\)
\(578\) 28.9503 + 6.37245i 1.20417 + 0.265059i
\(579\) 6.96783 + 17.4879i 0.289573 + 0.726774i
\(580\) 4.73297 17.0466i 0.196526 0.707823i
\(581\) 1.04043 19.1896i 0.0431644 0.796120i
\(582\) −0.492632 + 0.0535770i −0.0204203 + 0.00222084i
\(583\) −50.6577 + 38.5090i −2.09803 + 1.59488i
\(584\) 0.373178 + 1.34407i 0.0154422 + 0.0556179i
\(585\) 0.815853 0.179583i 0.0337314 0.00742484i
\(586\) 13.4753 + 19.8745i 0.556658 + 0.821009i
\(587\) 33.8997 32.1115i 1.39919 1.32538i 0.515832 0.856690i \(-0.327483\pi\)
0.883360 0.468695i \(-0.155276\pi\)
\(588\) 1.23152 2.32289i 0.0507869 0.0957943i
\(589\) 43.0813 1.77513
\(590\) 9.72830 9.22574i 0.400508 0.379818i
\(591\) −4.61892 −0.189997
\(592\) −1.99160 + 3.75655i −0.0818542 + 0.154393i
\(593\) −2.10826 + 1.99705i −0.0865760 + 0.0820091i −0.729764 0.683699i \(-0.760370\pi\)
0.643188 + 0.765708i \(0.277611\pi\)
\(594\) −2.48056 3.65854i −0.101778 0.150112i
\(595\) −24.3398 + 5.35760i −0.997835 + 0.219640i
\(596\) 5.00089 + 18.0116i 0.204845 + 0.737783i
\(597\) −13.1063 + 9.96312i −0.536403 + 0.407763i
\(598\) 4.27006 0.464397i 0.174616 0.0189906i
\(599\) −1.68832 + 31.1392i −0.0689829 + 1.27231i 0.735166 + 0.677887i \(0.237104\pi\)
−0.804149 + 0.594428i \(0.797379\pi\)
\(600\) 0.522568 1.88212i 0.0213338 0.0768372i
\(601\) 2.07180 + 5.19982i 0.0845103 + 0.212105i 0.965159 0.261666i \(-0.0842718\pi\)
−0.880648 + 0.473771i \(0.842893\pi\)
\(602\) −8.29025 1.82482i −0.337885 0.0743742i
\(603\) 0.422247 + 7.78788i 0.0171952 + 0.317147i
\(604\) 2.42010 + 14.7620i 0.0984724 + 0.600655i
\(605\) −8.36340 + 12.3351i −0.340020 + 0.501493i
\(606\) −0.112703 + 0.282863i −0.00457824 + 0.0114905i
\(607\) −26.6020 20.2223i −1.07974 0.820797i −0.0951128 0.995467i \(-0.530321\pi\)
−0.984627 + 0.174670i \(0.944114\pi\)
\(608\) −4.03213 2.42605i −0.163525 0.0983895i
\(609\) 20.0809 6.76604i 0.813719 0.274174i
\(610\) 2.19245 + 2.07680i 0.0887699 + 0.0840873i
\(611\) 0.793645 4.84102i 0.0321074 0.195847i
\(612\) 6.78956 + 0.738409i 0.274452 + 0.0298484i
\(613\) −7.61265 + 4.58038i −0.307472 + 0.185000i −0.660924 0.750453i \(-0.729835\pi\)
0.353452 + 0.935453i \(0.385008\pi\)
\(614\) −12.1425 + 14.2953i −0.490033 + 0.576911i
\(615\) 0.946832 0.438051i 0.0381799 0.0176639i
\(616\) −8.38700 3.88024i −0.337922 0.156339i
\(617\) −25.1561 29.6160i −1.01274 1.19230i −0.981240 0.192792i \(-0.938246\pi\)
−0.0315049 0.999504i \(-0.510030\pi\)
\(618\) 4.10014 + 1.38150i 0.164932 + 0.0555720i
\(619\) 7.79541 + 14.7037i 0.313324 + 0.590992i 0.989294 0.145938i \(-0.0466199\pi\)
−0.675970 + 0.736929i \(0.736275\pi\)
\(620\) 7.48515 + 14.1185i 0.300611 + 0.567012i
\(621\) −8.50480 2.86560i −0.341286 0.114993i
\(622\) −2.92299 3.44121i −0.117201 0.137980i
\(623\) 20.7513 + 9.60056i 0.831382 + 0.384638i
\(624\) −0.434366 + 0.200959i −0.0173885 + 0.00804479i
\(625\) −7.39182 + 8.70233i −0.295673 + 0.348093i
\(626\) 14.9986 9.02437i 0.599465 0.360686i
\(627\) −20.6783 2.24890i −0.825811 0.0898123i
\(628\) 0.666847 4.06758i 0.0266101 0.162314i
\(629\) −21.0817 19.9697i −0.840583 0.796242i
\(630\) −3.45817 + 1.16519i −0.137777 + 0.0464223i
\(631\) −25.2008 15.1628i −1.00323 0.603622i −0.0836351 0.996496i \(-0.526653\pi\)
−0.919592 + 0.392875i \(0.871481\pi\)
\(632\) 0.967927 + 0.735799i 0.0385021 + 0.0292685i
\(633\) 4.56220 11.4503i 0.181331 0.455107i
\(634\) 2.31151 3.40922i 0.0918016 0.135397i
\(635\) −2.90682 17.7308i −0.115354 0.703625i
\(636\) −0.779381 14.3748i −0.0309045 0.570000i
\(637\) −1.22889 0.270500i −0.0486905 0.0107176i
\(638\) 16.5827 + 41.6195i 0.656516 + 1.64773i
\(639\) 2.27518 8.19445i 0.0900047 0.324168i
\(640\) 0.0944981 1.74291i 0.00373536 0.0688947i
\(641\) 31.2010 3.39331i 1.23236 0.134028i 0.531336 0.847161i \(-0.321690\pi\)
0.701028 + 0.713134i \(0.252725\pi\)
\(642\) −5.80580 + 4.41346i −0.229137 + 0.174185i
\(643\) −3.15256 11.3545i −0.124325 0.447778i 0.875015 0.484095i \(-0.160851\pi\)
−0.999340 + 0.0363172i \(0.988437\pi\)
\(644\) −18.3241 + 4.03344i −0.722072 + 0.158940i
\(645\) −3.97722 5.86596i −0.156603 0.230972i
\(646\) 23.3322 22.1014i 0.917992 0.869568i
\(647\) −23.2320 + 43.8201i −0.913343 + 1.72275i −0.260130 + 0.965574i \(0.583765\pi\)
−0.653213 + 0.757174i \(0.726579\pi\)
\(648\) 1.00000 0.0392837
\(649\) −5.47360 + 33.5080i −0.214857 + 1.31531i
\(650\) −0.934858 −0.0366682
\(651\) −8.96540 + 16.9105i −0.351382 + 0.662776i
\(652\) −18.1673 + 17.2090i −0.711488 + 0.673957i
\(653\) 18.9681 + 27.9758i 0.742278 + 1.09478i 0.991973 + 0.126454i \(0.0403595\pi\)
−0.249694 + 0.968325i \(0.580330\pi\)
\(654\) −3.05948 + 0.673443i −0.119635 + 0.0263337i
\(655\) −0.659945 2.37691i −0.0257862 0.0928734i
\(656\) −0.475817 + 0.361707i −0.0185776 + 0.0141223i
\(657\) −1.38673 + 0.150816i −0.0541017 + 0.00588391i
\(658\) −1.16015 + 21.3978i −0.0452275 + 0.834173i
\(659\) 6.68760 24.0866i 0.260512 0.938280i −0.711371 0.702817i \(-0.751925\pi\)
0.971883 0.235463i \(-0.0756607\pi\)
\(660\) −2.85574 7.16737i −0.111160 0.278989i
\(661\) 22.8193 + 5.02291i 0.887568 + 0.195369i 0.635278 0.772283i \(-0.280885\pi\)
0.252290 + 0.967652i \(0.418816\pi\)
\(662\) 0.228156 + 4.20810i 0.00886755 + 0.163552i
\(663\) −0.528808 3.22558i −0.0205372 0.125271i
\(664\) −5.15856 + 7.60831i −0.200191 + 0.295260i
\(665\) −6.35604 + 15.9525i −0.246477 + 0.618610i
\(666\) −3.38486 2.57310i −0.131161 0.0997058i
\(667\) 77.9424 + 46.8964i 3.01794 + 1.81584i
\(668\) −9.30757 + 3.13609i −0.360121 + 0.121339i
\(669\) 11.0959 + 10.5106i 0.428993 + 0.406364i
\(670\) −2.20242 + 13.4342i −0.0850870 + 0.519008i
\(671\) −7.60275 0.826849i −0.293501 0.0319202i
\(672\) 1.79139 1.07785i 0.0691045 0.0415788i
\(673\) −15.2286 + 17.9285i −0.587021 + 0.691094i −0.972840 0.231480i \(-0.925643\pi\)
0.385819 + 0.922575i \(0.373919\pi\)
\(674\) −1.74177 + 0.805830i −0.0670906 + 0.0310394i
\(675\) 1.77278 + 0.820177i 0.0682345 + 0.0315686i
\(676\) −8.26773 9.73353i −0.317990 0.374366i
\(677\) 23.2592 + 7.83693i 0.893923 + 0.301198i 0.728517 0.685028i \(-0.240210\pi\)
0.165406 + 0.986226i \(0.447107\pi\)
\(678\) 1.87517 + 3.53694i 0.0720153 + 0.135835i
\(679\) −0.485270 0.915317i −0.0186230 0.0351266i
\(680\) 11.2969 + 3.80636i 0.433215 + 0.145967i
\(681\) −2.58144 3.03911i −0.0989211 0.116459i
\(682\) −36.7271 16.9917i −1.40635 0.650648i
\(683\) 16.3678 7.57255i 0.626296 0.289756i −0.0809549 0.996718i \(-0.525797\pi\)
0.707251 + 0.706962i \(0.249935\pi\)
\(684\) 3.04642 3.58652i 0.116483 0.137134i
\(685\) 27.6584 16.6415i 1.05677 0.635840i
\(686\) 20.0132 + 2.17657i 0.764109 + 0.0831019i
\(687\) 1.62793 9.92992i 0.0621093 0.378850i
\(688\) 2.94776 + 2.79227i 0.112382 + 0.106454i
\(689\) −6.52924 + 2.19996i −0.248744 + 0.0838117i
\(690\) −13.4226 8.07611i −0.510989 0.307452i
\(691\) −19.8055 15.0558i −0.753439 0.572749i 0.156409 0.987692i \(-0.450008\pi\)
−0.909847 + 0.414943i \(0.863801\pi\)
\(692\) −8.71974 + 21.8849i −0.331475 + 0.831939i
\(693\) 5.18599 7.64876i 0.196999 0.290552i
\(694\) 1.65040 + 10.0670i 0.0626485 + 0.382139i
\(695\) 1.07795 + 19.8816i 0.0408890 + 0.754153i
\(696\) −9.89867 2.17886i −0.375208 0.0825895i
\(697\) −1.51090 3.79207i −0.0572294 0.143635i
\(698\) 7.32833 26.3943i 0.277381 0.999038i
\(699\) −0.181511 + 3.34778i −0.00686538 + 0.126624i
\(700\) 4.05978 0.441528i 0.153445 0.0166882i
\(701\) −2.67158 + 2.03088i −0.100904 + 0.0767054i −0.654410 0.756140i \(-0.727083\pi\)
0.553506 + 0.832845i \(0.313290\pi\)
\(702\) −0.128039 0.461155i −0.00483252 0.0174052i
\(703\) −19.5402 + 4.30113i −0.736973 + 0.162220i
\(704\) 2.48056 + 3.65854i 0.0934894 + 0.137887i
\(705\) −12.9889 + 12.3037i −0.489189 + 0.463384i
\(706\) 1.87981 3.54570i 0.0707477 0.133444i
\(707\) −0.636581 −0.0239411
\(708\) −5.57951 5.27912i −0.209691 0.198401i
\(709\) −12.6554 −0.475283 −0.237642 0.971353i \(-0.576374\pi\)
−0.237642 + 0.971353i \(0.576374\pi\)
\(710\) 6.95319 13.1151i 0.260948 0.492201i
\(711\) −0.882699 + 0.836137i −0.0331038 + 0.0313576i
\(712\) −6.13743 9.05204i −0.230010 0.339239i
\(713\) −80.2422 + 17.6626i −3.00509 + 0.661471i
\(714\) 3.81986 + 13.7579i 0.142955 + 0.514876i
\(715\) −2.93962 + 2.23464i −0.109936 + 0.0835708i
\(716\) −8.29596 + 0.902240i −0.310035 + 0.0337183i
\(717\) 0.353531 6.52049i 0.0132028 0.243512i
\(718\) 4.74493 17.0897i 0.177079 0.637782i
\(719\) 3.24814 + 8.15223i 0.121135 + 0.304027i 0.977023 0.213136i \(-0.0683676\pi\)
−0.855887 + 0.517162i \(0.826988\pi\)
\(720\) 1.70467 + 0.375225i 0.0635292 + 0.0139838i
\(721\) 0.489713 + 9.03222i 0.0182379 + 0.336378i
\(722\) −0.508614 3.10241i −0.0189287 0.115460i
\(723\) −3.52257 + 5.19540i −0.131006 + 0.193219i
\(724\) −6.16591 + 15.4753i −0.229154 + 0.575134i
\(725\) −15.7611 11.9813i −0.585354 0.444975i
\(726\) 7.31594 + 4.40185i 0.271520 + 0.163368i
\(727\) 20.0244 6.74699i 0.742663 0.250232i 0.0775637 0.996987i \(-0.475286\pi\)
0.665099 + 0.746755i \(0.268389\pi\)
\(728\) −0.726423 0.688104i −0.0269230 0.0255028i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) −2.42051 0.263246i −0.0895871 0.00974318i
\(731\) −23.7609 + 14.2964i −0.878827 + 0.528773i
\(732\) 1.12007 1.31865i 0.0413991 0.0487388i
\(733\) −13.8070 + 6.38780i −0.509973 + 0.235939i −0.657963 0.753050i \(-0.728582\pi\)
0.147990 + 0.988989i \(0.452720\pi\)
\(734\) −8.48984 3.92782i −0.313366 0.144978i
\(735\) 2.97093 + 3.49765i 0.109585 + 0.129013i
\(736\) 8.50480 + 2.86560i 0.313491 + 0.105627i
\(737\) −16.1481 30.4586i −0.594825 1.12196i
\(738\) −0.279963 0.528067i −0.0103056 0.0194384i
\(739\) −43.0714 14.5125i −1.58441 0.533849i −0.616977 0.786981i \(-0.711643\pi\)
−0.967432 + 0.253132i \(0.918539\pi\)
\(740\) −4.80456 5.65637i −0.176619 0.207932i
\(741\) −2.04400 0.945657i −0.0750884 0.0347396i
\(742\) 27.3153 12.6374i 1.00278 0.463934i
\(743\) 5.23251 6.16018i 0.191962 0.225995i −0.657758 0.753229i \(-0.728495\pi\)
0.849720 + 0.527234i \(0.176771\pi\)
\(744\) 7.84460 4.71994i 0.287597 0.173041i
\(745\) −32.4368 3.52771i −1.18839 0.129245i
\(746\) −1.29888 + 7.92281i −0.0475553 + 0.290075i
\(747\) −6.67352 6.32149i −0.244171 0.231291i
\(748\) −28.6079 + 9.63912i −1.04601 + 0.352441i
\(749\) −13.0644 7.86059i −0.477363 0.287220i
\(750\) 9.66205 + 7.34490i 0.352808 + 0.268198i
\(751\) 0.608430 1.52704i 0.0222019 0.0557226i −0.917458 0.397833i \(-0.869762\pi\)
0.939660 + 0.342110i \(0.111142\pi\)
\(752\) 5.75216 8.48381i 0.209760 0.309373i
\(753\) 1.54921 + 9.44974i 0.0564562 + 0.344368i
\(754\) 0.262623 + 4.84380i 0.00956417 + 0.176401i
\(755\) −25.5001 5.61300i −0.928045 0.204278i
\(756\) 0.773832 + 1.94217i 0.0281440 + 0.0706361i
\(757\) 2.21026 7.96064i 0.0803333 0.289334i −0.912461 0.409163i \(-0.865821\pi\)
0.992795 + 0.119829i \(0.0382345\pi\)