Properties

Label 354.2.e.c.19.1
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 19.1
Character \(\chi\) = 354.19
Dual form 354.2.e.c.205.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.468408 - 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-3.74342 + 0.823990i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(-3.11942 + 2.37132i) q^{7} +(-0.994138 + 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(0.468408 - 0.883512i) q^{2} +(0.725995 - 0.687699i) q^{3} +(-0.561187 - 0.827689i) q^{4} +(-3.74342 + 0.823990i) q^{5} +(-0.267528 - 0.963550i) q^{6} +(-3.11942 + 2.37132i) q^{7} +(-0.994138 + 0.108119i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(-1.02545 + 3.69332i) q^{10} +(-1.59437 - 4.00156i) q^{11} +(-0.976621 - 0.214970i) q^{12} +(-0.0482588 - 0.890082i) q^{13} +(0.633928 + 3.86679i) q^{14} +(-2.15105 + 3.17256i) q^{15} +(-0.370138 + 0.928977i) q^{16} +(-3.20598 - 2.43712i) q^{17} +(-0.856857 - 0.515554i) q^{18} +(-5.48319 + 1.84750i) q^{19} +(2.78277 + 2.63598i) q^{20} +(-0.633928 + 3.86679i) q^{21} +(-4.28224 - 0.465722i) q^{22} +(5.68489 - 3.42049i) q^{23} +(-0.647386 + 0.762162i) q^{24} +(8.79638 - 4.06964i) q^{25} +(-0.809003 - 0.374285i) q^{26} +(-0.647386 - 0.762162i) q^{27} +(3.71329 + 1.25115i) q^{28} +(2.28795 + 4.31554i) q^{29} +(1.79543 + 3.38653i) q^{30} +(7.56437 + 2.54873i) q^{31} +(0.647386 + 0.762162i) q^{32} +(-3.90937 - 1.80867i) q^{33} +(-3.65493 + 1.69095i) q^{34} +(9.72336 - 11.4472i) q^{35} +(-0.856857 + 0.515554i) q^{36} +(-2.24539 - 0.244200i) q^{37} +(-0.936082 + 5.70985i) q^{38} +(-0.647145 - 0.613008i) q^{39} +(3.63239 - 1.22389i) q^{40} +(-4.44828 - 2.67644i) q^{41} +(3.11942 + 2.37132i) q^{42} +(-0.822975 + 2.06551i) q^{43} +(-2.41731 + 3.56526i) q^{44} +(0.620116 + 3.78254i) q^{45} +(-0.359189 - 6.62485i) q^{46} +(-1.68338 - 0.370540i) q^{47} +(0.370138 + 0.928977i) q^{48} +(2.23492 - 8.04944i) q^{49} +(0.524724 - 9.67796i) q^{50} +(-4.00353 + 0.435410i) q^{51} +(-0.709629 + 0.539446i) q^{52} +(-3.40195 - 12.2527i) q^{53} +(-0.976621 + 0.214970i) q^{54} +(9.26563 + 13.6658i) q^{55} +(2.84475 - 2.69469i) q^{56} +(-2.71024 + 5.11206i) q^{57} +4.88452 q^{58} +(-7.03804 + 3.07668i) q^{59} +3.83304 q^{60} +(-3.08810 + 5.82477i) q^{61} +(5.79505 - 5.48936i) q^{62} +(2.19896 + 3.24323i) q^{63} +(0.976621 - 0.214970i) q^{64} +(0.914071 + 3.29219i) q^{65} +(-3.42916 + 2.60678i) q^{66} +(-4.62024 + 0.502481i) q^{67} +(-0.218025 + 4.02123i) q^{68} +(1.77494 - 6.39275i) q^{69} +(-5.55926 - 13.9527i) q^{70} +(-8.48928 - 1.86863i) q^{71} +(0.0541389 + 0.998533i) q^{72} +(0.0780241 + 0.475926i) q^{73} +(-1.26751 + 1.86944i) q^{74} +(3.58744 - 9.00380i) q^{75} +(4.60625 + 3.50158i) q^{76} +(14.4625 + 8.70179i) q^{77} +(-0.844728 + 0.284622i) q^{78} +(-9.26508 - 8.77635i) q^{79} +(0.620116 - 3.78254i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-4.44828 + 2.67644i) q^{82} +(-7.39560 + 8.70677i) q^{83} +(3.55625 - 1.64530i) q^{84} +(14.0095 + 6.48148i) q^{85} +(1.43942 + 1.69461i) q^{86} +(4.62884 + 1.55964i) q^{87} +(2.01767 + 3.80572i) q^{88} +(-4.81239 - 9.07713i) q^{89} +(3.63239 + 1.22389i) q^{90} +(2.26121 + 2.66210i) q^{91} +(-6.02139 - 2.78579i) q^{92} +(7.24446 - 3.35164i) q^{93} +(-1.11589 + 1.31372i) q^{94} +(19.0036 - 11.4341i) q^{95} +(0.994138 + 0.108119i) q^{96} +(2.40640 - 14.6784i) q^{97} +(-6.06492 - 5.74500i) q^{98} +(-4.08201 + 1.37539i) 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
\(5\) −3.74342 + 0.823990i −1.67411 + 0.368499i −0.947799 0.318868i \(-0.896697\pi\)
−0.726310 + 0.687367i \(0.758766\pi\)
\(6\) −0.267528 0.963550i −0.109218 0.393368i
\(7\) −3.11942 + 2.37132i −1.17903 + 0.896275i −0.996219 0.0868731i \(-0.972313\pi\)
−0.182810 + 0.983148i \(0.558519\pi\)
\(8\) −0.994138 + 0.108119i −0.351481 + 0.0382258i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) −1.02545 + 3.69332i −0.324275 + 1.16793i
\(11\) −1.59437 4.00156i −0.480720 1.20652i −0.946814 0.321781i \(-0.895719\pi\)
0.466095 0.884735i \(-0.345661\pi\)
\(12\) −0.976621 0.214970i −0.281926 0.0620566i
\(13\) −0.0482588 0.890082i −0.0133846 0.246864i −0.997567 0.0697085i \(-0.977793\pi\)
0.984183 0.177156i \(-0.0566897\pi\)
\(14\) 0.633928 + 3.86679i 0.169424 + 1.03344i
\(15\) −2.15105 + 3.17256i −0.555399 + 0.819152i
\(16\) −0.370138 + 0.928977i −0.0925345 + 0.232244i
\(17\) −3.20598 2.43712i −0.777564 0.591089i 0.139318 0.990248i \(-0.455509\pi\)
−0.916882 + 0.399159i \(0.869302\pi\)
\(18\) −0.856857 0.515554i −0.201963 0.121517i
\(19\) −5.48319 + 1.84750i −1.25793 + 0.423846i −0.867800 0.496914i \(-0.834466\pi\)
−0.390130 + 0.920760i \(0.627570\pi\)
\(20\) 2.78277 + 2.63598i 0.622246 + 0.589423i
\(21\) −0.633928 + 3.86679i −0.138334 + 0.843803i
\(22\) −4.28224 0.465722i −0.912977 0.0992922i
\(23\) 5.68489 3.42049i 1.18538 0.713221i 0.220367 0.975417i \(-0.429274\pi\)
0.965015 + 0.262196i \(0.0844469\pi\)
\(24\) −0.647386 + 0.762162i −0.132147 + 0.155576i
\(25\) 8.79638 4.06964i 1.75928 0.813928i
\(26\) −0.809003 0.374285i −0.158659 0.0734032i
\(27\) −0.647386 0.762162i −0.124590 0.146678i
\(28\) 3.71329 + 1.25115i 0.701747 + 0.236446i
\(29\) 2.28795 + 4.31554i 0.424862 + 0.801375i 0.999859 0.0167805i \(-0.00534164\pi\)
−0.574997 + 0.818155i \(0.694997\pi\)
\(30\) 1.79543 + 3.38653i 0.327799 + 0.618294i
\(31\) 7.56437 + 2.54873i 1.35860 + 0.457766i 0.901935 0.431873i \(-0.142147\pi\)
0.456666 + 0.889638i \(0.349044\pi\)
\(32\) 0.647386 + 0.762162i 0.114443 + 0.134732i
\(33\) −3.90937 1.80867i −0.680534 0.314849i
\(34\) −3.65493 + 1.69095i −0.626816 + 0.289996i
\(35\) 9.72336 11.4472i 1.64355 1.93493i
\(36\) −0.856857 + 0.515554i −0.142810 + 0.0859256i
\(37\) −2.24539 0.244200i −0.369139 0.0401463i −0.0783302 0.996927i \(-0.524959\pi\)
−0.290809 + 0.956781i \(0.593924\pi\)
\(38\) −0.936082 + 5.70985i −0.151853 + 0.926259i
\(39\) −0.647145 0.613008i −0.103626 0.0981598i
\(40\) 3.63239 1.22389i 0.574331 0.193515i
\(41\) −4.44828 2.67644i −0.694704 0.417989i 0.123941 0.992290i \(-0.460447\pi\)
−0.818645 + 0.574300i \(0.805274\pi\)
\(42\) 3.11942 + 2.37132i 0.481337 + 0.365903i
\(43\) −0.822975 + 2.06551i −0.125502 + 0.314987i −0.978280 0.207286i \(-0.933537\pi\)
0.852778 + 0.522274i \(0.174916\pi\)
\(44\) −2.41731 + 3.56526i −0.364423 + 0.537484i
\(45\) 0.620116 + 3.78254i 0.0924415 + 0.563868i
\(46\) −0.359189 6.62485i −0.0529595 0.976781i
\(47\) −1.68338 0.370540i −0.245546 0.0540488i 0.0904919 0.995897i \(-0.471156\pi\)
−0.336038 + 0.941848i \(0.609087\pi\)
\(48\) 0.370138 + 0.928977i 0.0534248 + 0.134086i
\(49\) 2.23492 8.04944i 0.319274 1.14992i
\(50\) 0.524724 9.67796i 0.0742071 1.36867i
\(51\) −4.00353 + 0.435410i −0.560607 + 0.0609696i
\(52\) −0.709629 + 0.539446i −0.0984078 + 0.0748077i
\(53\) −3.40195 12.2527i −0.467293 1.68304i −0.702980 0.711210i \(-0.748148\pi\)
0.235687 0.971829i \(-0.424266\pi\)
\(54\) −0.976621 + 0.214970i −0.132901 + 0.0292538i
\(55\) 9.26563 + 13.6658i 1.24938 + 1.84269i
\(56\) 2.84475 2.69469i 0.380145 0.360093i
\(57\) −2.71024 + 5.11206i −0.358981 + 0.677109i
\(58\) 4.88452 0.641370
\(59\) −7.03804 + 3.07668i −0.916275 + 0.400549i
\(60\) 3.83304 0.494843
\(61\) −3.08810 + 5.82477i −0.395390 + 0.745785i −0.998660 0.0517521i \(-0.983519\pi\)
0.603270 + 0.797537i \(0.293864\pi\)
\(62\) 5.79505 5.48936i 0.735972 0.697149i
\(63\) 2.19896 + 3.24323i 0.277043 + 0.408608i
\(64\) 0.976621 0.214970i 0.122078 0.0268713i
\(65\) 0.914071 + 3.29219i 0.113377 + 0.408346i
\(66\) −3.42916 + 2.60678i −0.422101 + 0.320873i
\(67\) −4.62024 + 0.502481i −0.564452 + 0.0613879i −0.385897 0.922542i \(-0.626108\pi\)
−0.178555 + 0.983930i \(0.557142\pi\)
\(68\) −0.218025 + 4.02123i −0.0264394 + 0.487646i
\(69\) 1.77494 6.39275i 0.213678 0.769597i
\(70\) −5.55926 13.9527i −0.664458 1.66766i
\(71\) −8.48928 1.86863i −1.00749 0.221766i −0.319579 0.947559i \(-0.603542\pi\)
−0.687912 + 0.725794i \(0.741473\pi\)
\(72\) 0.0541389 + 0.998533i 0.00638033 + 0.117678i
\(73\) 0.0780241 + 0.475926i 0.00913203 + 0.0557029i 0.990999 0.133866i \(-0.0427392\pi\)
−0.981867 + 0.189569i \(0.939291\pi\)
\(74\) −1.26751 + 1.86944i −0.147345 + 0.217318i
\(75\) 3.58744 9.00380i 0.414242 1.03967i
\(76\) 4.60625 + 3.50158i 0.528373 + 0.401659i
\(77\) 14.4625 + 8.70179i 1.64815 + 0.991660i
\(78\) −0.844728 + 0.284622i −0.0956466 + 0.0322271i
\(79\) −9.26508 8.77635i −1.04240 0.987416i −0.0424709 0.999098i \(-0.513523\pi\)
−0.999932 + 0.0116814i \(0.996282\pi\)
\(80\) 0.620116 3.78254i 0.0693311 0.422901i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) −4.44828 + 2.67644i −0.491230 + 0.295563i
\(83\) −7.39560 + 8.70677i −0.811772 + 0.955692i −0.999649 0.0265004i \(-0.991564\pi\)
0.187876 + 0.982193i \(0.439840\pi\)
\(84\) 3.55625 1.64530i 0.388019 0.179517i
\(85\) 14.0095 + 6.48148i 1.51954 + 0.703015i
\(86\) 1.43942 + 1.69461i 0.155216 + 0.182735i
\(87\) 4.62884 + 1.55964i 0.496263 + 0.167211i
\(88\) 2.01767 + 3.80572i 0.215084 + 0.405691i
\(89\) −4.81239 9.07713i −0.510112 0.962174i −0.996102 0.0882094i \(-0.971886\pi\)
0.485990 0.873965i \(-0.338459\pi\)
\(90\) 3.63239 + 1.22389i 0.382888 + 0.129010i
\(91\) 2.26121 + 2.66210i 0.237039 + 0.279064i
\(92\) −6.02139 2.78579i −0.627773 0.290439i
\(93\) 7.24446 3.35164i 0.751215 0.347549i
\(94\) −1.11589 + 1.31372i −0.115095 + 0.135500i
\(95\) 19.0036 11.4341i 1.94972 1.17311i
\(96\) 0.994138 + 0.108119i 0.101464 + 0.0110349i
\(97\) 2.40640 14.6784i 0.244333 1.49036i −0.524772 0.851243i \(-0.675850\pi\)
0.769105 0.639122i \(-0.220702\pi\)
\(98\) −6.06492 5.74500i −0.612650 0.580333i
\(99\) −4.08201 + 1.37539i −0.410257 + 0.138232i
\(100\) −8.30481 4.99684i −0.830481 0.499684i
\(101\) 1.22204 + 0.928969i 0.121597 + 0.0924359i 0.664205 0.747550i \(-0.268770\pi\)
−0.542608 + 0.839986i \(0.682563\pi\)
\(102\) −1.49060 + 3.74112i −0.147591 + 0.370426i
\(103\) −0.147900 + 0.218136i −0.0145730 + 0.0214936i −0.834906 0.550393i \(-0.814478\pi\)
0.820333 + 0.571887i \(0.193788\pi\)
\(104\) 0.144211 + 0.879646i 0.0141410 + 0.0862564i
\(105\) −0.813135 14.9974i −0.0793538 1.46359i
\(106\) −12.4189 2.73361i −1.20623 0.265512i
\(107\) −0.623527 1.56493i −0.0602786 0.151288i 0.895753 0.444553i \(-0.146637\pi\)
−0.956031 + 0.293265i \(0.905258\pi\)
\(108\) −0.267528 + 0.963550i −0.0257429 + 0.0927176i
\(109\) −0.567900 + 10.4743i −0.0543949 + 1.00326i 0.836190 + 0.548439i \(0.184778\pi\)
−0.890585 + 0.454816i \(0.849705\pi\)
\(110\) 16.4140 1.78513i 1.56501 0.170205i
\(111\) −1.79808 + 1.36686i −0.170666 + 0.129737i
\(112\) −1.04829 3.77558i −0.0990537 0.356759i
\(113\) 20.5966 4.53366i 1.93757 0.426491i 0.941604 0.336723i \(-0.109318\pi\)
0.995963 0.0897680i \(-0.0286126\pi\)
\(114\) 3.24707 + 4.78907i 0.304116 + 0.448537i
\(115\) −18.4625 + 17.4886i −1.72164 + 1.63082i
\(116\) 2.28795 4.31554i 0.212431 0.400688i
\(117\) −0.891389 −0.0824090
\(118\) −0.578399 + 7.65934i −0.0532459 + 0.705099i
\(119\) 15.7800 1.44655
\(120\) 1.79543 3.38653i 0.163899 0.309147i
\(121\) −5.48452 + 5.19521i −0.498593 + 0.472292i
\(122\) 3.69976 + 5.45674i 0.334961 + 0.494030i
\(123\) −5.07001 + 1.11599i −0.457148 + 0.100626i
\(124\) −2.13547 7.69126i −0.191771 0.690695i
\(125\) −14.3180 + 10.8842i −1.28064 + 0.973515i
\(126\) 3.89544 0.423655i 0.347033 0.0377422i
\(127\) −0.969982 + 17.8903i −0.0860720 + 1.58750i 0.562791 + 0.826599i \(0.309728\pi\)
−0.648863 + 0.760906i \(0.724755\pi\)
\(128\) 0.267528 0.963550i 0.0236464 0.0851666i
\(129\) 0.822975 + 2.06551i 0.0724589 + 0.181858i
\(130\) 3.33685 + 0.734495i 0.292661 + 0.0644195i
\(131\) −0.101029 1.86338i −0.00882697 0.162804i −0.999623 0.0274433i \(-0.991263\pi\)
0.990796 0.135361i \(-0.0432193\pi\)
\(132\) 0.696874 + 4.25075i 0.0606551 + 0.369980i
\(133\) 12.7233 18.7655i 1.10325 1.62718i
\(134\) −1.72021 + 4.31740i −0.148604 + 0.372967i
\(135\) 3.05145 + 2.31966i 0.262627 + 0.199644i
\(136\) 3.45068 + 2.07621i 0.295894 + 0.178033i
\(137\) 2.37854 0.801422i 0.203212 0.0684701i −0.215855 0.976425i \(-0.569254\pi\)
0.419067 + 0.907955i \(0.362357\pi\)
\(138\) −4.81668 4.56260i −0.410023 0.388394i
\(139\) 0.638429 3.89424i 0.0541508 0.330305i −0.945833 0.324653i \(-0.894752\pi\)
0.999984 0.00565243i \(-0.00179923\pi\)
\(140\) −14.9314 1.62388i −1.26193 0.137243i
\(141\) −1.47695 + 0.888650i −0.124381 + 0.0748378i
\(142\) −5.62741 + 6.62510i −0.472241 + 0.555966i
\(143\) −3.48477 + 1.61223i −0.291411 + 0.134821i
\(144\) 0.907575 + 0.419889i 0.0756313 + 0.0349908i
\(145\) −12.1207 14.2696i −1.00657 1.18503i
\(146\) 0.457034 + 0.153993i 0.0378244 + 0.0127445i
\(147\) −3.91306 7.38081i −0.322743 0.608759i
\(148\) 1.05796 + 1.99552i 0.0869637 + 0.164031i
\(149\) 11.1977 + 3.77296i 0.917355 + 0.309093i 0.738086 0.674707i \(-0.235730\pi\)
0.179269 + 0.983800i \(0.442627\pi\)
\(150\) −6.27458 7.38701i −0.512317 0.603147i
\(151\) 2.69278 + 1.24581i 0.219136 + 0.101383i 0.526386 0.850246i \(-0.323547\pi\)
−0.307250 + 0.951629i \(0.599409\pi\)
\(152\) 5.25129 2.42951i 0.425936 0.197059i
\(153\) −2.60711 + 3.06933i −0.210773 + 0.248141i
\(154\) 14.4625 8.70179i 1.16542 0.701210i
\(155\) −30.4167 3.30802i −2.44313 0.265707i
\(156\) −0.144211 + 0.879646i −0.0115461 + 0.0704281i
\(157\) 5.31922 + 5.03863i 0.424520 + 0.402127i 0.869910 0.493210i \(-0.164177\pi\)
−0.445391 + 0.895336i \(0.646935\pi\)
\(158\) −12.0938 + 4.07489i −0.962135 + 0.324181i
\(159\) −10.8960 6.55589i −0.864107 0.519916i
\(160\) −3.05145 2.31966i −0.241239 0.183385i
\(161\) −9.62249 + 24.1506i −0.758358 + 1.90334i
\(162\) −0.561187 + 0.827689i −0.0440910 + 0.0650294i
\(163\) −3.51473 21.4389i −0.275295 1.67922i −0.656182 0.754603i \(-0.727830\pi\)
0.380887 0.924622i \(-0.375619\pi\)
\(164\) 0.281056 + 5.18377i 0.0219468 + 0.404785i
\(165\) 16.1248 + 3.54933i 1.25531 + 0.276315i
\(166\) 4.22838 + 10.6124i 0.328186 + 0.823684i
\(167\) −6.14610 + 22.1363i −0.475600 + 1.71295i 0.203647 + 0.979044i \(0.434721\pi\)
−0.679246 + 0.733910i \(0.737693\pi\)
\(168\) 0.212138 3.91266i 0.0163668 0.301869i
\(169\) 12.1339 1.31964i 0.933375 0.101511i
\(170\) 12.2886 9.34158i 0.942495 0.716466i
\(171\) 1.54794 + 5.57517i 0.118374 + 0.426344i
\(172\) 2.17144 0.477971i 0.165571 0.0364449i
\(173\) −6.05342 8.92812i −0.460233 0.678792i 0.524787 0.851234i \(-0.324145\pi\)
−0.985020 + 0.172441i \(0.944835\pi\)
\(174\) 3.54614 3.35909i 0.268832 0.254652i
\(175\) −17.7892 + 33.5539i −1.34474 + 2.53644i
\(176\) 4.30749 0.324689
\(177\) −2.99376 + 7.07371i −0.225025 + 0.531693i
\(178\) −10.2739 −0.770063
\(179\) −11.0511 + 20.8445i −0.825995 + 1.55799i 0.00384629 + 0.999993i \(0.498776\pi\)
−0.829841 + 0.557999i \(0.811569\pi\)
\(180\) 2.78277 2.63598i 0.207415 0.196474i
\(181\) −1.50203 2.21533i −0.111645 0.164664i 0.767762 0.640736i \(-0.221371\pi\)
−0.879406 + 0.476072i \(0.842060\pi\)
\(182\) 3.41117 0.750855i 0.252853 0.0556571i
\(183\) 1.76375 + 6.35244i 0.130380 + 0.469586i
\(184\) −5.28175 + 4.01508i −0.389376 + 0.295996i
\(185\) 8.60664 0.936029i 0.632773 0.0688182i
\(186\) 0.432148 7.97050i 0.0316866 0.584426i
\(187\) −4.64078 + 16.7146i −0.339367 + 1.22229i
\(188\) 0.637999 + 1.60126i 0.0465309 + 0.116784i
\(189\) 3.82680 + 0.842342i 0.278359 + 0.0612714i
\(190\) −1.20070 22.1457i −0.0871083 1.60662i
\(191\) 1.34076 + 8.17827i 0.0970140 + 0.591759i 0.989932 + 0.141541i \(0.0452056\pi\)
−0.892918 + 0.450218i \(0.851346\pi\)
\(192\) 0.561187 0.827689i 0.0405002 0.0597333i
\(193\) 6.14025 15.4109i 0.441985 1.10930i −0.524233 0.851575i \(-0.675648\pi\)
0.966218 0.257725i \(-0.0829727\pi\)
\(194\) −11.8414 9.00156i −0.850160 0.646275i
\(195\) 2.92765 + 1.76151i 0.209653 + 0.126144i
\(196\) −7.91664 + 2.66743i −0.565474 + 0.190530i
\(197\) −8.26058 7.82484i −0.588542 0.557497i 0.334402 0.942430i \(-0.391466\pi\)
−0.922944 + 0.384934i \(0.874224\pi\)
\(198\) −0.696874 + 4.25075i −0.0495247 + 0.302087i
\(199\) −4.84069 0.526457i −0.343148 0.0373196i −0.0650772 0.997880i \(-0.520729\pi\)
−0.278070 + 0.960561i \(0.589695\pi\)
\(200\) −8.30481 + 4.99684i −0.587239 + 0.353330i
\(201\) −3.00872 + 3.54213i −0.212218 + 0.249843i
\(202\) 1.39317 0.644548i 0.0980230 0.0453503i
\(203\) −17.3706 8.03650i −1.21918 0.564052i
\(204\) 2.60711 + 3.06933i 0.182535 + 0.214896i
\(205\) 18.8571 + 6.35371i 1.31704 + 0.443762i
\(206\) 0.123448 + 0.232848i 0.00860104 + 0.0162233i
\(207\) −3.10770 5.86173i −0.216000 0.407419i
\(208\) 0.844728 + 0.284622i 0.0585713 + 0.0197350i
\(209\) 16.1351 + 18.9957i 1.11609 + 1.31396i
\(210\) −13.6312 6.30649i −0.940646 0.435189i
\(211\) 22.3758 10.3521i 1.54041 0.712670i 0.548097 0.836415i \(-0.315352\pi\)
0.992314 + 0.123745i \(0.0394903\pi\)
\(212\) −8.23230 + 9.69181i −0.565397 + 0.665637i
\(213\) −7.44823 + 4.48145i −0.510344 + 0.307064i
\(214\) −1.67470 0.182135i −0.114480 0.0124505i
\(215\) 1.37878 8.41020i 0.0940322 0.573571i
\(216\) 0.725995 + 0.687699i 0.0493977 + 0.0467920i
\(217\) −29.6403 + 9.98698i −2.01211 + 0.677960i
\(218\) 8.98816 + 5.40800i 0.608755 + 0.366276i
\(219\) 0.383939 + 0.291863i 0.0259442 + 0.0197223i
\(220\) 6.11127 15.3381i 0.412022 1.03410i
\(221\) −2.01452 + 2.97120i −0.135511 + 0.199864i
\(222\) 0.365405 + 2.22887i 0.0245244 + 0.149592i
\(223\) −0.883907 16.3027i −0.0591908 1.09171i −0.865724 0.500522i \(-0.833142\pi\)
0.806533 0.591189i \(-0.201341\pi\)
\(224\) −3.82680 0.842342i −0.255689 0.0562814i
\(225\) −3.58744 9.00380i −0.239163 0.600254i
\(226\) 5.64209 20.3210i 0.375306 1.35173i
\(227\) 1.09978 20.2842i 0.0729947 1.34631i −0.701020 0.713141i \(-0.747272\pi\)
0.774015 0.633167i \(-0.218245\pi\)
\(228\) 5.75215 0.625584i 0.380945 0.0414303i
\(229\) 19.6500 14.9375i 1.29851 0.987098i 0.299046 0.954239i \(-0.403332\pi\)
0.999460 0.0328596i \(-0.0104614\pi\)
\(230\) 6.80341 + 24.5037i 0.448603 + 1.61572i
\(231\) 16.4839 3.62838i 1.08456 0.238730i
\(232\) −2.74113 4.04287i −0.179964 0.265427i
\(233\) −4.23881 + 4.01521i −0.277694 + 0.263045i −0.813852 0.581072i \(-0.802633\pi\)
0.536159 + 0.844117i \(0.319875\pi\)
\(234\) −0.417534 + 0.787553i −0.0272951 + 0.0514840i
\(235\) 6.60693 0.430988
\(236\) 6.49619 + 4.09872i 0.422866 + 0.266804i
\(237\) −12.7619 −0.828974
\(238\) 7.39148 13.9418i 0.479118 0.903713i
\(239\) −0.928214 + 0.879251i −0.0600412 + 0.0568740i −0.717132 0.696938i \(-0.754545\pi\)
0.657091 + 0.753812i \(0.271787\pi\)
\(240\) −2.15105 3.17256i −0.138850 0.204788i
\(241\) 5.43241 1.19576i 0.349932 0.0770259i −0.0365264 0.999333i \(-0.511629\pi\)
0.386458 + 0.922307i \(0.373698\pi\)
\(242\) 2.02104 + 7.27912i 0.129917 + 0.467919i
\(243\) −0.796093 + 0.605174i −0.0510694 + 0.0388219i
\(244\) 6.55410 0.712801i 0.419583 0.0456324i
\(245\) −1.73358 + 31.9740i −0.110754 + 2.04274i
\(246\) −1.38884 + 5.00216i −0.0885494 + 0.318926i
\(247\) 1.90904 + 4.79133i 0.121469 + 0.304865i
\(248\) −7.79559 1.71594i −0.495020 0.108962i
\(249\) 0.618471 + 11.4070i 0.0391940 + 0.722891i
\(250\) 2.90969 + 17.7483i 0.184025 + 1.12250i
\(251\) −14.3248 + 21.1275i −0.904173 + 1.33356i 0.0382977 + 0.999266i \(0.487806\pi\)
−0.942471 + 0.334289i \(0.891504\pi\)
\(252\) 1.45035 3.64011i 0.0913637 0.229306i
\(253\) −22.7511 17.2949i −1.43035 1.08732i
\(254\) 15.3519 + 9.23695i 0.963265 + 0.579578i
\(255\) 14.6281 4.92879i 0.916050 0.308653i
\(256\) −0.725995 0.687699i −0.0453747 0.0429812i
\(257\) 2.37627 14.4946i 0.148228 0.904150i −0.803072 0.595883i \(-0.796802\pi\)
0.951300 0.308268i \(-0.0997493\pi\)
\(258\) 2.21039 + 0.240395i 0.137613 + 0.0149663i
\(259\) 7.58338 4.56277i 0.471208 0.283516i
\(260\) 2.21194 2.60410i 0.137179 0.161499i
\(261\) 4.43307 2.05096i 0.274400 0.126951i
\(262\) −1.69364 0.783561i −0.104633 0.0484085i
\(263\) −6.15608 7.24750i −0.379600 0.446900i 0.538871 0.842389i \(-0.318851\pi\)
−0.918471 + 0.395488i \(0.870575\pi\)
\(264\) 4.08201 + 1.37539i 0.251230 + 0.0846493i
\(265\) 22.8310 + 43.0639i 1.40250 + 2.64539i
\(266\) −10.6198 20.0312i −0.651145 1.22819i
\(267\) −9.73611 3.28048i −0.595840 0.200762i
\(268\) 3.00872 + 3.54213i 0.183787 + 0.216370i
\(269\) −4.65521 2.15373i −0.283833 0.131315i 0.272807 0.962069i \(-0.412048\pi\)
−0.556640 + 0.830754i \(0.687910\pi\)
\(270\) 3.47877 1.60945i 0.211711 0.0979480i
\(271\) −6.40922 + 7.54552i −0.389333 + 0.458358i −0.921556 0.388246i \(-0.873081\pi\)
0.532223 + 0.846604i \(0.321357\pi\)
\(272\) 3.45068 2.07621i 0.209228 0.125889i
\(273\) 3.47235 + 0.377641i 0.210156 + 0.0228559i
\(274\) 0.406060 2.47686i 0.0245310 0.149632i
\(275\) −30.3096 28.7107i −1.82773 1.73132i
\(276\) −6.28728 + 2.11843i −0.378450 + 0.127515i
\(277\) −20.4829 12.3242i −1.23070 0.740487i −0.256581 0.966523i \(-0.582596\pi\)
−0.974119 + 0.226035i \(0.927424\pi\)
\(278\) −3.14157 2.38816i −0.188419 0.143232i
\(279\) 2.95452 7.41529i 0.176882 0.443942i
\(280\) −8.42870 + 12.4314i −0.503711 + 0.742918i
\(281\) 1.38710 + 8.46095i 0.0827476 + 0.504738i 0.995385 + 0.0959669i \(0.0305943\pi\)
−0.912637 + 0.408771i \(0.865957\pi\)
\(282\) 0.0933181 + 1.72115i 0.00555701 + 0.102493i
\(283\) −3.61387 0.795474i −0.214822 0.0472860i 0.106255 0.994339i \(-0.466114\pi\)
−0.321078 + 0.947053i \(0.604045\pi\)
\(284\) 3.21743 + 8.07513i 0.190919 + 0.479171i
\(285\) 5.93330 21.3698i 0.351458 1.26584i
\(286\) −0.207875 + 3.83402i −0.0122919 + 0.226710i
\(287\) 20.2227 2.19935i 1.19371 0.129824i
\(288\) 0.796093 0.605174i 0.0469102 0.0356602i
\(289\) −0.209247 0.753638i −0.0123086 0.0443317i
\(290\) −18.2848 + 4.02480i −1.07372 + 0.236344i
\(291\) −8.34729 12.3113i −0.489327 0.721703i
\(292\) 0.350133 0.331663i 0.0204900 0.0194091i
\(293\) 1.93495 3.64971i 0.113041 0.213218i −0.820536 0.571595i \(-0.806325\pi\)
0.933577 + 0.358377i \(0.116670\pi\)
\(294\) −8.35394 −0.487212
\(295\) 23.8112 17.3166i 1.38634 1.00821i
\(296\) 2.25863 0.131280
\(297\) −2.01767 + 3.80572i −0.117077 + 0.220830i
\(298\) 8.57857 8.12606i 0.496943 0.470730i
\(299\) −3.31886 4.89495i −0.191935 0.283082i
\(300\) −9.46558 + 2.08353i −0.546495 + 0.120293i
\(301\) −2.33079 8.39473i −0.134344 0.483864i
\(302\) 2.36202 1.79556i 0.135919 0.103323i
\(303\) 1.52605 0.165967i 0.0876690 0.00953458i
\(304\) 0.313251 5.77758i 0.0179662 0.331367i
\(305\) 6.76050 24.3491i 0.387105 1.39423i
\(306\) 1.49060 + 3.74112i 0.0852118 + 0.213866i
\(307\) 9.77649 + 2.15197i 0.557974 + 0.122819i 0.484999 0.874514i \(-0.338820\pi\)
0.0729745 + 0.997334i \(0.476751\pi\)
\(308\) −0.913785 16.8538i −0.0520677 0.960332i
\(309\) 0.0426373 + 0.260076i 0.00242555 + 0.0147952i
\(310\) −17.1701 + 25.3241i −0.975198 + 1.43831i
\(311\) −7.27733 + 18.2647i −0.412659 + 1.03570i 0.564923 + 0.825144i \(0.308906\pi\)
−0.977582 + 0.210553i \(0.932473\pi\)
\(312\) 0.709629 + 0.539446i 0.0401748 + 0.0305401i
\(313\) 10.2143 + 6.14573i 0.577345 + 0.347377i 0.774088 0.633078i \(-0.218209\pi\)
−0.196743 + 0.980455i \(0.563036\pi\)
\(314\) 6.94326 2.33946i 0.391831 0.132023i
\(315\) −10.9040 10.3288i −0.614372 0.581964i
\(316\) −2.06464 + 12.5938i −0.116145 + 0.708455i
\(317\) −19.3973 2.10959i −1.08946 0.118486i −0.454288 0.890855i \(-0.650106\pi\)
−0.635174 + 0.772369i \(0.719072\pi\)
\(318\) −10.8960 + 6.55589i −0.611016 + 0.367636i
\(319\) 13.6210 16.0359i 0.762632 0.897839i
\(320\) −3.47877 + 1.60945i −0.194469 + 0.0899710i
\(321\) −1.52888 0.707336i −0.0853339 0.0394797i
\(322\) 16.8301 + 19.8139i 0.937906 + 1.10419i
\(323\) 22.0816 + 7.44014i 1.22865 + 0.413981i
\(324\) 0.468408 + 0.883512i 0.0260227 + 0.0490840i
\(325\) −4.04681 7.63310i −0.224477 0.423408i
\(326\) −20.5879 6.93686i −1.14026 0.384197i
\(327\) 6.79088 + 7.99484i 0.375536 + 0.442115i
\(328\) 4.71157 + 2.17981i 0.260153 + 0.120360i
\(329\) 6.12984 2.83597i 0.337949 0.156352i
\(330\) 10.6888 12.5839i 0.588402 0.692720i
\(331\) −24.9166 + 14.9918i −1.36954 + 0.824025i −0.994676 0.103055i \(-0.967138\pi\)
−0.374864 + 0.927080i \(0.622311\pi\)
\(332\) 11.3568 + 1.23513i 0.623286 + 0.0677864i
\(333\) −0.365405 + 2.22887i −0.0200241 + 0.122141i
\(334\) 16.6788 + 15.7990i 0.912621 + 0.864481i
\(335\) 16.8815 5.68803i 0.922333 0.310770i
\(336\) −3.35752 2.02015i −0.183168 0.110208i
\(337\) −12.1026 9.20018i −0.659272 0.501165i 0.221222 0.975224i \(-0.428996\pi\)
−0.880494 + 0.474058i \(0.842789\pi\)
\(338\) 4.51769 11.3386i 0.245730 0.616736i
\(339\) 11.8353 17.4557i 0.642803 0.948063i
\(340\) −2.49730 15.2328i −0.135435 0.826116i
\(341\) −1.86147 34.3329i −0.100804 1.85923i
\(342\) 5.65079 + 1.24383i 0.305560 + 0.0672588i
\(343\) 1.96369 + 4.92850i 0.106029 + 0.266114i
\(344\) 0.594829 2.14238i 0.0320711 0.115509i
\(345\) −1.37679 + 25.3933i −0.0741236 + 1.36713i
\(346\) −10.7236 + 1.16626i −0.576503 + 0.0626985i
\(347\) 17.9073 13.6128i 0.961317 0.730774i −0.00176066 0.999998i \(-0.500560\pi\)
0.963077 + 0.269224i \(0.0867673\pi\)
\(348\) −1.30675 4.70648i −0.0700491 0.252294i
\(349\) 1.53509 0.337900i 0.0821717 0.0180874i −0.173694 0.984800i \(-0.555570\pi\)
0.255866 + 0.966712i \(0.417639\pi\)
\(350\) 21.3127 + 31.4339i 1.13921 + 1.68021i
\(351\) −0.647145 + 0.613008i −0.0345420 + 0.0327199i
\(352\) 2.01767 3.80572i 0.107542 0.202846i
\(353\) 28.2817 1.50528 0.752642 0.658430i \(-0.228779\pi\)
0.752642 + 0.658430i \(0.228779\pi\)
\(354\) 4.84741 + 5.95841i 0.257637 + 0.316686i
\(355\) 33.3187 1.76837
\(356\) −4.81239 + 9.07713i −0.255056 + 0.481087i
\(357\) 11.4562 10.8519i 0.606326 0.574343i
\(358\) 13.2400 + 19.5275i 0.699754 + 1.03206i
\(359\) 0.262577 0.0577976i 0.0138583 0.00305044i −0.208036 0.978121i \(-0.566707\pi\)
0.221894 + 0.975071i \(0.428776\pi\)
\(360\) −1.02545 3.69332i −0.0540458 0.194655i
\(361\) 11.5263 8.76207i 0.606648 0.461162i
\(362\) −2.66083 + 0.289383i −0.139850 + 0.0152096i
\(363\) −0.408991 + 7.54340i −0.0214665 + 0.395926i
\(364\) 0.934431 3.36551i 0.0489775 0.176401i
\(365\) −0.684235 1.71730i −0.0358145 0.0898877i
\(366\) 6.43861 + 1.41725i 0.336551 + 0.0740806i
\(367\) −0.758260 13.9853i −0.0395808 0.730025i −0.949217 0.314621i \(-0.898123\pi\)
0.909637 0.415405i \(-0.136360\pi\)
\(368\) 1.07336 + 6.54718i 0.0559526 + 0.341296i
\(369\) −2.91334 + 4.29685i −0.151662 + 0.223685i
\(370\) 3.20443 8.04252i 0.166590 0.418111i
\(371\) 39.6672 + 30.1542i 2.05942 + 1.56553i
\(372\) −6.83961 4.11526i −0.354617 0.213366i
\(373\) −16.5769 + 5.58540i −0.858318 + 0.289201i −0.713841 0.700307i \(-0.753046\pi\)
−0.144476 + 0.989508i \(0.546150\pi\)
\(374\) 12.5937 + 11.9294i 0.651207 + 0.616856i
\(375\) −2.90969 + 17.7483i −0.150256 + 0.916521i
\(376\) 1.71358 + 0.186363i 0.0883709 + 0.00961091i
\(377\) 3.73077 2.24473i 0.192144 0.115609i
\(378\) 2.53673 2.98646i 0.130475 0.153607i
\(379\) 22.5861 10.4495i 1.16017 0.536752i 0.257160 0.966369i \(-0.417213\pi\)
0.903011 + 0.429617i \(0.141351\pi\)
\(380\) −20.1284 9.31239i −1.03257 0.477716i
\(381\) 11.5989 + 13.6553i 0.594231 + 0.699583i
\(382\) 7.85363 + 2.64619i 0.401826 + 0.135391i
\(383\) 4.25071 + 8.01768i 0.217201 + 0.409685i 0.968038 0.250803i \(-0.0806946\pi\)
−0.750837 + 0.660487i \(0.770350\pi\)
\(384\) −0.468408 0.883512i −0.0239034 0.0450865i
\(385\) −61.3094 20.6575i −3.12461 1.05281i
\(386\) −10.7395 12.6436i −0.546629 0.643541i
\(387\) 2.01793 + 0.933592i 0.102577 + 0.0474572i
\(388\) −13.4996 + 6.24557i −0.685337 + 0.317071i
\(389\) −8.00609 + 9.42549i −0.405925 + 0.477891i −0.926700 0.375802i \(-0.877367\pi\)
0.520775 + 0.853694i \(0.325643\pi\)
\(390\) 2.92765 1.76151i 0.148247 0.0891974i
\(391\) −26.5618 2.88877i −1.34329 0.146091i
\(392\) −1.35152 + 8.24389i −0.0682619 + 0.416379i
\(393\) −1.35479 1.28333i −0.0683401 0.0647352i
\(394\) −10.7827 + 3.63310i −0.543223 + 0.183033i
\(395\) 41.9147 + 25.2193i 2.10896 + 1.26892i
\(396\) 3.42916 + 2.60678i 0.172322 + 0.130996i
\(397\) −1.25412 + 3.14760i −0.0629424 + 0.157974i −0.957084 0.289811i \(-0.906408\pi\)
0.894141 + 0.447785i \(0.147787\pi\)
\(398\) −2.73255 + 4.03021i −0.136970 + 0.202016i
\(399\) −3.66795 22.3735i −0.183627 1.12008i
\(400\) 0.524724 + 9.67796i 0.0262362 + 0.483898i
\(401\) −14.6236 3.21890i −0.730268 0.160744i −0.165754 0.986167i \(-0.553006\pi\)
−0.564515 + 0.825423i \(0.690937\pi\)
\(402\) 1.72021 + 4.31740i 0.0857963 + 0.215332i
\(403\) 1.90353 6.85590i 0.0948217 0.341517i
\(404\) 0.0831056 1.53279i 0.00413466 0.0762593i
\(405\) 3.81057 0.414424i 0.189349 0.0205929i
\(406\) −15.2369 + 11.5828i −0.756194 + 0.574844i
\(407\) 2.60279 + 9.37439i 0.129015 + 0.464671i
\(408\) 3.93299 0.865716i 0.194712 0.0428593i
\(409\) 11.7307 + 17.3015i 0.580045 + 0.855503i 0.998611 0.0526836i \(-0.0167775\pi\)
−0.418566 + 0.908186i \(0.637467\pi\)
\(410\) 14.4464 13.6844i 0.713458 0.675823i
\(411\) 1.17567 2.21755i 0.0579915 0.109384i
\(412\) 0.263548 0.0129841
\(413\) 14.6588 26.2869i 0.721314 1.29349i
\(414\) −6.63458 −0.326072
\(415\) 20.5106 38.6870i 1.00682 1.89907i
\(416\) 0.647145 0.613008i 0.0317289 0.0300552i
\(417\) −2.21457 3.26625i −0.108448 0.159949i
\(418\) 24.3407 5.35780i 1.19054 0.262059i
\(419\) 6.14722 + 22.1403i 0.300311 + 1.08162i 0.947621 + 0.319396i \(0.103480\pi\)
−0.647310 + 0.762227i \(0.724106\pi\)
\(420\) −11.9569 + 9.08936i −0.583435 + 0.443515i
\(421\) −15.3279 + 1.66701i −0.747038 + 0.0812453i −0.473717 0.880677i \(-0.657088\pi\)
−0.273322 + 0.961923i \(0.588122\pi\)
\(422\) 1.33476 24.6183i 0.0649753 1.19840i
\(423\) −0.461133 + 1.66085i −0.0224211 + 0.0807533i
\(424\) 4.70676 + 11.8131i 0.228580 + 0.573693i
\(425\) −38.1192 8.39067i −1.84905 0.407007i
\(426\) 0.470603 + 8.67975i 0.0228008 + 0.420535i
\(427\) −4.17933 25.4928i −0.202252 1.23368i
\(428\) −0.945364 + 1.39431i −0.0456959 + 0.0673964i
\(429\) −1.42120 + 3.56695i −0.0686162 + 0.172214i
\(430\) −6.78468 5.15758i −0.327186 0.248721i
\(431\) 3.40574 + 2.04917i 0.164049 + 0.0987048i 0.595211 0.803570i \(-0.297069\pi\)
−0.431162 + 0.902275i \(0.641896\pi\)
\(432\) 0.947653 0.319302i 0.0455940 0.0153624i
\(433\) −14.9556 14.1667i −0.718721 0.680809i 0.238181 0.971221i \(-0.423449\pi\)
−0.956902 + 0.290412i \(0.906208\pi\)
\(434\) −5.06015 + 30.8655i −0.242895 + 1.48159i
\(435\) −18.6128 2.02427i −0.892416 0.0970561i
\(436\) 8.98816 5.40800i 0.430455 0.258996i
\(437\) −24.8520 + 29.2580i −1.18883 + 1.39960i
\(438\) 0.437705 0.202504i 0.0209143 0.00967601i
\(439\) −13.5462 6.26712i −0.646523 0.299113i 0.0690899 0.997610i \(-0.477990\pi\)
−0.715613 + 0.698497i \(0.753853\pi\)
\(440\) −10.6888 12.5839i −0.509571 0.599913i
\(441\) −7.91664 2.66743i −0.376983 0.127020i
\(442\) 1.68147 + 3.17159i 0.0799793 + 0.150857i
\(443\) −9.94954 18.7668i −0.472717 0.891639i −0.999142 0.0414173i \(-0.986813\pi\)
0.526425 0.850222i \(-0.323532\pi\)
\(444\) 2.14039 + 0.721183i 0.101579 + 0.0342258i
\(445\) 25.4943 + 30.0142i 1.20854 + 1.42281i
\(446\) −14.8177 6.85538i −0.701637 0.324612i
\(447\) 10.7242 4.96153i 0.507236 0.234672i
\(448\) −2.53673 + 2.98646i −0.119849 + 0.141097i
\(449\) 19.1384 11.5152i 0.903199 0.543437i 0.0134615 0.999909i \(-0.495715\pi\)
0.889737 + 0.456473i \(0.150887\pi\)
\(450\) −9.63536 1.04791i −0.454215 0.0493989i
\(451\) −3.61774 + 22.0673i −0.170353 + 1.03911i
\(452\) −15.3110 14.5034i −0.720169 0.682181i
\(453\) 2.81170 0.947371i 0.132105 0.0445114i
\(454\) −17.4062 10.4729i −0.816912 0.491520i
\(455\) −10.6582 8.10216i −0.499664 0.379835i
\(456\) 2.14164 5.37512i 0.100292 0.251713i
\(457\) 7.75639 11.4398i 0.362829 0.535132i −0.601834 0.798621i \(-0.705563\pi\)
0.964662 + 0.263489i \(0.0848734\pi\)
\(458\) −3.99326 24.3578i −0.186593 1.13817i
\(459\) 0.218025 + 4.02123i 0.0101765 + 0.187695i
\(460\) 24.8361 + 5.46683i 1.15799 + 0.254892i
\(461\) −4.44843 11.1647i −0.207184 0.519993i 0.788260 0.615343i \(-0.210982\pi\)
−0.995444 + 0.0953498i \(0.969603\pi\)
\(462\) 4.51548 16.2633i 0.210079 0.756637i
\(463\) −0.702311 + 12.9534i −0.0326391 + 0.601994i 0.935768 + 0.352617i \(0.114708\pi\)
−0.968407 + 0.249376i \(0.919774\pi\)
\(464\) −4.85589 + 0.528110i −0.225429 + 0.0245169i
\(465\) −24.3573 + 18.5160i −1.12954 + 0.858658i
\(466\) 1.56200 + 5.62580i 0.0723580 + 0.260610i
\(467\) −33.8880 + 7.45931i −1.56815 + 0.345176i −0.912238 0.409661i \(-0.865647\pi\)
−0.655912 + 0.754837i \(0.727716\pi\)
\(468\) 0.500236 + 0.737793i 0.0231234 + 0.0341045i
\(469\) 13.2209 12.5235i 0.610485 0.578282i
\(470\) 3.09474 5.83730i 0.142750 0.269255i
\(471\) 7.32679 0.337601
\(472\) 6.66414 3.81959i 0.306742 0.175811i
\(473\) 9.57739 0.440369
\(474\) −5.97778 + 11.2753i −0.274568 + 0.517891i
\(475\) −40.7135 + 38.5659i −1.86806 + 1.76952i
\(476\) −8.85552 13.0609i −0.405892 0.598646i
\(477\) −12.4189 + 2.73361i −0.568623 + 0.125163i
\(478\) 0.342046 + 1.23194i 0.0156448 + 0.0563475i
\(479\) −8.97377 + 6.82168i −0.410022 + 0.311690i −0.789774 0.613398i \(-0.789802\pi\)
0.379752 + 0.925088i \(0.376009\pi\)
\(480\) −3.81057 + 0.414424i −0.173928 + 0.0189158i
\(481\) −0.108999 + 2.01036i −0.00496991 + 0.0916646i
\(482\) 1.48811 5.35970i 0.0677817 0.244128i
\(483\) 9.62249 + 24.1506i 0.437838 + 1.09889i
\(484\) 7.37786 + 1.62399i 0.335357 + 0.0738177i
\(485\) 3.08667 + 56.9303i 0.140158 + 2.58507i
\(486\) 0.161782 + 0.986827i 0.00733858 + 0.0447634i
\(487\) −15.6218 + 23.0405i −0.707892 + 1.04406i 0.288356 + 0.957523i \(0.406891\pi\)
−0.996248 + 0.0865396i \(0.972419\pi\)
\(488\) 2.44023 6.12451i 0.110464 0.277243i
\(489\) −17.2952 13.1475i −0.782116 0.594549i
\(490\) 27.4374 + 16.5085i 1.23950 + 0.745779i
\(491\) 35.6565 12.0141i 1.60915 0.542187i 0.635870 0.771796i \(-0.280641\pi\)
0.973283 + 0.229609i \(0.0737448\pi\)
\(492\) 3.76892 + 3.57011i 0.169916 + 0.160953i
\(493\) 3.18236 19.4115i 0.143326 0.874251i
\(494\) 5.12740 + 0.557639i 0.230693 + 0.0250894i
\(495\) 14.1474 8.51219i 0.635877 0.382595i
\(496\) −5.16757 + 6.08374i −0.232031 + 0.273168i
\(497\) 30.9127 14.3018i 1.38663 0.641521i
\(498\) 10.3679 + 4.79672i 0.464599 + 0.214946i
\(499\) −26.6248 31.3451i −1.19189 1.40320i −0.893683 0.448699i \(-0.851888\pi\)
−0.298206 0.954502i \(-0.596388\pi\)
\(500\) 17.0438 + 5.74273i 0.762222 + 0.256823i
\(501\) 10.7610 + 20.2975i 0.480768 + 0.906825i
\(502\) 11.9565 + 22.5524i 0.533646 + 1.00656i
\(503\) 3.43092 + 1.15601i 0.152977 + 0.0515440i 0.394748 0.918789i \(-0.370832\pi\)
−0.241771 + 0.970333i \(0.577728\pi\)
\(504\) −2.53673 2.98646i −0.112995 0.133028i
\(505\) −5.34007 2.47058i −0.237630 0.109939i
\(506\) −25.9371 + 11.9998i −1.15304 + 0.533455i
\(507\) 7.90162 9.30251i 0.350923 0.413139i
\(508\) 15.3519 9.23695i 0.681131 0.409823i
\(509\) −30.1365 3.27755i −1.33578 0.145275i −0.587805 0.809003i \(-0.700008\pi\)
−0.747974 + 0.663728i \(0.768973\pi\)
\(510\) 2.49730 15.2328i 0.110582 0.674521i
\(511\) −1.37196 1.29959i −0.0606921 0.0574906i
\(512\) −0.947653 + 0.319302i −0.0418807 + 0.0141113i
\(513\) 4.95783 + 2.98303i 0.218894 + 0.131704i
\(514\) −11.6931 8.88888i −0.515761 0.392072i
\(515\) 0.373910 0.938443i 0.0164764 0.0413527i
\(516\) 1.24776 1.84031i 0.0549295 0.0810149i
\(517\) 1.20119 + 7.32692i 0.0528282 + 0.322238i
\(518\) −0.479141 8.83724i −0.0210523 0.388286i
\(519\) −10.5346 2.31884i −0.462418 0.101786i
\(520\) −1.26466 3.17406i −0.0554591 0.139192i
\(521\) −7.86009 + 28.3095i −0.344357 + 1.24026i 0.565295 + 0.824889i \(0.308763\pi\)
−0.909651 + 0.415372i \(0.863651\pi\)
\(522\) 0.264443 4.87736i 0.0115743 0.213476i
\(523\) 15.0179 1.63329i 0.656687 0.0714190i 0.226292 0.974060i \(-0.427340\pi\)
0.430395 + 0.902641i \(0.358374\pi\)
\(524\) −1.48560 + 1.12932i −0.0648987 + 0.0493347i
\(525\) 10.1602 + 36.5936i 0.443426 + 1.59708i
\(526\) −9.28682 + 2.04418i −0.404924 + 0.0891306i
\(527\) −18.0396 26.6064i −0.785818 1.15900i
\(528\) 3.12722 2.96226i 0.136095 0.128916i
\(529\) 9.84487 18.5694i 0.428038 0.807365i
\(530\) 48.7417 2.11720
\(531\) 2.69113 + 7.19429i 0.116785 + 0.312206i
\(532\) −22.6722 −0.982964
\(533\) −2.16758 + 4.08849i −0.0938883 + 0.177092i
\(534\) −7.45882 + 7.06537i −0.322775 + 0.305748i
\(535\) 3.62361 + 5.34443i 0.156663 + 0.231060i
\(536\) 4.53883 0.999071i 0.196047 0.0431533i
\(537\) 6.31174 + 22.7328i 0.272372 + 0.980994i
\(538\) −4.08338 + 3.10411i −0.176047 + 0.133828i
\(539\) −35.7736 + 3.89061i −1.54088 + 0.167581i
\(540\) 0.207516 3.82742i 0.00893009 0.164706i
\(541\) 5.56727 20.0515i 0.239356 0.862081i −0.742083 0.670308i \(-0.766162\pi\)
0.981439 0.191774i \(-0.0614240\pi\)
\(542\) 3.66442 + 9.19701i 0.157401 + 0.395045i
\(543\) −2.61394 0.575373i −0.112175 0.0246916i
\(544\) −0.218025 4.02123i −0.00934774 0.172409i
\(545\) −6.50482 39.6777i −0.278636 1.69960i
\(546\) 1.96013 2.89098i 0.0838858 0.123722i
\(547\) −1.61686 + 4.05801i −0.0691318 + 0.173508i −0.959483 0.281767i \(-0.909080\pi\)
0.890351 + 0.455275i \(0.150459\pi\)
\(548\) −1.99813 1.51894i −0.0853560 0.0648859i
\(549\) 5.64904 + 3.39891i 0.241095 + 0.145062i
\(550\) −39.5635 + 13.3305i −1.68699 + 0.568415i
\(551\) −20.5182 19.4359i −0.874106 0.827997i
\(552\) −1.07336 + 6.54718i −0.0456851 + 0.278667i
\(553\) 49.7132 + 5.40664i 2.11402 + 0.229914i
\(554\) −20.4829 + 12.3242i −0.870236 + 0.523604i
\(555\) 5.60468 6.59834i 0.237905 0.280084i
\(556\) −3.58150 + 1.65698i −0.151889 + 0.0702715i
\(557\) 28.4751 + 13.1740i 1.20653 + 0.558200i 0.916968 0.398960i \(-0.130629\pi\)
0.289560 + 0.957160i \(0.406491\pi\)
\(558\) −5.16757 6.08374i −0.218761 0.257545i
\(559\) 1.87819 + 0.632836i 0.0794390 + 0.0267661i
\(560\) 7.03522 + 13.2698i 0.297292 + 0.560753i
\(561\) 8.12542 + 15.3262i 0.343055 + 0.647071i
\(562\) 8.12508 + 2.73766i 0.342736 + 0.115481i
\(563\) −13.5661 15.9712i −0.571742 0.673107i 0.397959 0.917403i \(-0.369719\pi\)
−0.969701 + 0.244297i \(0.921443\pi\)
\(564\) 1.56437 + 0.723754i 0.0658718 + 0.0304755i
\(565\) −73.3662 + 33.9428i −3.08654 + 1.42798i
\(566\) −2.39558 + 2.82029i −0.100694 + 0.118546i
\(567\) 3.35752 2.02015i 0.141003 0.0848384i
\(568\) 8.64155 + 0.939825i 0.362591 + 0.0394342i
\(569\) −3.54506 + 21.6239i −0.148617 + 0.906522i 0.802265 + 0.596968i \(0.203628\pi\)
−0.950882 + 0.309554i \(0.899820\pi\)
\(570\) −16.1013 15.2519i −0.674409 0.638834i
\(571\) −16.5170 + 5.56521i −0.691213 + 0.232897i −0.642917 0.765936i \(-0.722276\pi\)
−0.0482966 + 0.998833i \(0.515379\pi\)
\(572\) 3.29003 + 1.97955i 0.137563 + 0.0827690i
\(573\) 6.59758 + 5.01535i 0.275618 + 0.209519i
\(574\) 7.52934 18.8972i 0.314269 0.788755i
\(575\) 36.0863 53.2233i 1.50490 2.21957i
\(576\) −0.161782 0.986827i −0.00674092 0.0411178i
\(577\) −1.10032 20.2943i −0.0458070 0.844861i −0.927681 0.373375i \(-0.878201\pi\)
0.881874 0.471486i \(-0.156282\pi\)
\(578\) −0.763861 0.168139i −0.0317724 0.00699364i
\(579\) −6.14025 15.4109i −0.255180 0.640454i
\(580\) −5.00882 + 18.0401i −0.207980 + 0.749076i
\(581\) 2.42342 44.6974i 0.100541 1.85436i
\(582\) −14.7871 + 1.60820i −0.612947 + 0.0666620i
\(583\) −43.6060 + 33.1484i −1.80597 + 1.37287i
\(584\) −0.129023 0.464700i −0.00533903 0.0192294i
\(585\) 3.33685 0.734495i 0.137962 0.0303676i
\(586\) −2.31821 3.41911i −0.0957645 0.141242i
\(587\) 12.5754 11.9120i 0.519042 0.491662i −0.382739 0.923857i \(-0.625019\pi\)
0.901781 + 0.432194i \(0.142261\pi\)
\(588\) −3.91306 + 7.38081i −0.161372 + 0.304379i
\(589\) −46.1856 −1.90304
\(590\) −4.14602 29.1487i −0.170689 1.20003i
\(591\) −11.3783 −0.468040
\(592\) 1.05796 1.99552i 0.0434819 0.0820155i
\(593\) −7.99340 + 7.57175i −0.328250 + 0.310935i −0.834021 0.551733i \(-0.813967\pi\)
0.505771 + 0.862668i \(0.331208\pi\)
\(594\) 2.41731 + 3.56526i 0.0991834 + 0.146285i
\(595\) −59.0712 + 13.0025i −2.42168 + 0.533052i
\(596\) −3.16119 11.3856i −0.129487 0.466372i
\(597\) −3.87637 + 2.94674i −0.158649 + 0.120602i
\(598\) −5.87933 + 0.639415i −0.240424 + 0.0261476i
\(599\) −1.08150 + 19.9471i −0.0441888 + 0.815015i 0.889501 + 0.456933i \(0.151052\pi\)
−0.933690 + 0.358082i \(0.883431\pi\)
\(600\) −2.59293 + 9.33889i −0.105856 + 0.381259i
\(601\) 5.64548 + 14.1691i 0.230284 + 0.577969i 0.998027 0.0627889i \(-0.0199995\pi\)
−0.767743 + 0.640758i \(0.778620\pi\)
\(602\) −8.50861 1.87289i −0.346785 0.0763331i
\(603\) 0.251610 + 4.64067i 0.0102463 + 0.188983i
\(604\) −0.480009 2.92792i −0.0195313 0.119136i
\(605\) 16.2501 23.9671i 0.660659 0.974399i
\(606\) 0.568178 1.42602i 0.0230807 0.0579281i
\(607\) −5.50583 4.18542i −0.223475 0.169881i 0.487446 0.873153i \(-0.337929\pi\)
−0.710921 + 0.703272i \(0.751722\pi\)
\(608\) −4.95783 2.98303i −0.201067 0.120978i
\(609\) −18.1377 + 6.11130i −0.734976 + 0.247642i
\(610\) −18.3461 17.3783i −0.742811 0.703628i
\(611\) −0.248573 + 1.51623i −0.0100562 + 0.0613400i
\(612\) 4.00353 + 0.435410i 0.161833 + 0.0176004i
\(613\) −23.4050 + 14.0823i −0.945317 + 0.568779i −0.902680 0.430312i \(-0.858404\pi\)
−0.0426371 + 0.999091i \(0.513576\pi\)
\(614\) 6.48068 7.62965i 0.261539 0.307908i
\(615\) 18.0596 8.35528i 0.728235 0.336917i
\(616\) −15.3185 7.08711i −0.617201 0.285548i
\(617\) 8.65847 + 10.1935i 0.348577 + 0.410376i 0.908311 0.418296i \(-0.137373\pi\)
−0.559734 + 0.828672i \(0.689097\pi\)
\(618\) 0.249752 + 0.0841513i 0.0100465 + 0.00338506i
\(619\) 9.65707 + 18.2152i 0.388150 + 0.732129i 0.998184 0.0602465i \(-0.0191887\pi\)
−0.610033 + 0.792376i \(0.708844\pi\)
\(620\) 14.3315 + 27.0320i 0.575566 + 1.08563i
\(621\) −6.28728 2.11843i −0.252300 0.0850098i
\(622\) 12.7283 + 14.9850i 0.510360 + 0.600842i
\(623\) 36.5367 + 16.9037i 1.46381 + 0.677231i
\(624\) 0.809003 0.374285i 0.0323860 0.0149834i
\(625\) 13.2568 15.6071i 0.530271 0.624283i
\(626\) 10.2143 6.14573i 0.408245 0.245633i
\(627\) 24.7773 + 2.69470i 0.989512 + 0.107616i
\(628\) 1.18534 7.23027i 0.0473003 0.288519i
\(629\) 6.60351 + 6.25518i 0.263299 + 0.249410i
\(630\) −14.2332 + 4.79572i −0.567064 + 0.191066i
\(631\) 23.7829 + 14.3097i 0.946781 + 0.569659i 0.903121 0.429387i \(-0.141270\pi\)
0.0436606 + 0.999046i \(0.486098\pi\)
\(632\) 10.1597 + 7.72317i 0.404129 + 0.307211i
\(633\) 9.12555 22.9034i 0.362708 0.910329i
\(634\) −10.9497 + 16.1496i −0.434869 + 0.641383i
\(635\) −11.1103 67.7701i −0.440901 2.68937i
\(636\) 0.688442 + 12.6976i 0.0272985 + 0.503491i
\(637\) −7.27251 1.60080i −0.288148 0.0634261i
\(638\) −7.78772 19.5457i −0.308319 0.773822i
\(639\) −2.32549 + 8.37566i −0.0919950 + 0.331336i
\(640\) −0.207516 + 3.82742i −0.00820281 + 0.151292i
\(641\) −38.7441 + 4.21367i −1.53030 + 0.166430i −0.834178 0.551495i \(-0.814058\pi\)
−0.696120 + 0.717925i \(0.745092\pi\)
\(642\) −1.34108 + 1.01946i −0.0529283 + 0.0402350i
\(643\) 10.9325 + 39.3752i 0.431134 + 1.55280i 0.786205 + 0.617965i \(0.212043\pi\)
−0.355071 + 0.934839i \(0.615543\pi\)
\(644\) 25.3892 5.58859i 1.00048 0.220221i
\(645\) −4.78270 7.05396i −0.188319 0.277749i
\(646\) 16.9166 16.0243i 0.665576 0.630467i
\(647\) −1.47075 + 2.77412i −0.0578210 + 0.109062i −0.910738 0.412984i \(-0.864486\pi\)
0.852917 + 0.522046i \(0.174831\pi\)
\(648\) 1.00000 0.0392837
\(649\) 23.5327 + 23.2578i 0.923740 + 0.912948i
\(650\) −8.63950 −0.338869
\(651\) −14.6507 + 27.6341i −0.574205 + 1.08307i
\(652\) −15.7723 + 14.9403i −0.617692 + 0.585109i
\(653\) −8.61781 12.7103i −0.337241 0.497393i 0.620822 0.783952i \(-0.286799\pi\)
−0.958063 + 0.286559i \(0.907489\pi\)
\(654\) 10.2444 2.25497i 0.400589 0.0881764i
\(655\) 1.91360 + 6.89216i 0.0747705 + 0.269299i
\(656\) 4.13283 3.14169i 0.161360 0.122662i
\(657\) 0.479452 0.0521436i 0.0187052 0.00203431i
\(658\) 0.365659 6.74418i 0.0142549 0.262915i
\(659\) 9.82552 35.3883i 0.382748 1.37853i −0.481931 0.876209i \(-0.660064\pi\)
0.864679 0.502325i \(-0.167522\pi\)
\(660\) −6.11127 15.3381i −0.237881 0.597036i
\(661\) 31.9079 + 7.02347i 1.24108 + 0.273181i 0.786535 0.617545i \(-0.211873\pi\)
0.454540 + 0.890726i \(0.349804\pi\)
\(662\) 1.57431 + 29.0364i 0.0611872 + 1.12853i
\(663\) 0.580757 + 3.54246i 0.0225547 + 0.137578i
\(664\) 6.41088 9.45534i 0.248790 0.366938i
\(665\) −32.1662 + 80.7312i −1.24735 + 3.13062i
\(666\) 1.79808 + 1.36686i 0.0696740 + 0.0529648i
\(667\) 27.7680 + 16.7074i 1.07518 + 0.646915i
\(668\) 21.7710 7.33552i 0.842347 0.283820i
\(669\) −11.8531 11.2278i −0.458266 0.434093i
\(670\) 2.88198 17.5793i 0.111341 0.679148i
\(671\) 28.2317 + 3.07038i 1.08987 + 0.118531i
\(672\) −3.35752 + 2.02015i −0.129519 + 0.0779290i
\(673\) 26.0044 30.6147i 1.00239 1.18011i 0.0187805 0.999824i \(-0.494022\pi\)
0.983614 0.180287i \(-0.0577025\pi\)
\(674\) −13.7974 + 6.38337i −0.531457 + 0.245878i
\(675\) −8.79638 4.06964i −0.338573 0.156640i
\(676\) −7.90162 9.30251i −0.303909 0.357789i
\(677\) −8.28718 2.79228i −0.318502 0.107316i 0.155510 0.987834i \(-0.450298\pi\)
−0.474012 + 0.880518i \(0.657195\pi\)
\(678\) −9.87858 18.6330i −0.379385 0.715596i
\(679\) 27.3006 + 51.4944i 1.04770 + 1.97617i
\(680\) −14.6281 4.92879i −0.560964 0.189011i
\(681\) −13.1510 15.4825i −0.503947 0.593292i
\(682\) −31.2054 14.4372i −1.19492 0.552828i
\(683\) 12.4113 5.74210i 0.474907 0.219715i −0.167810 0.985819i \(-0.553669\pi\)
0.642717 + 0.766104i \(0.277807\pi\)
\(684\) 3.74582 4.40992i 0.143225 0.168618i
\(685\) −8.24350 + 4.95995i −0.314968 + 0.189510i
\(686\) 5.27420 + 0.573603i 0.201370 + 0.0219003i
\(687\) 3.99326 24.3578i 0.152353 0.929309i
\(688\) −1.61420 1.52905i −0.0615407 0.0582944i
\(689\) −10.7417 + 3.61931i −0.409228 + 0.137885i
\(690\) 21.7904 + 13.1108i 0.829546 + 0.499121i
\(691\) 15.5357 + 11.8100i 0.591007 + 0.449272i 0.857442 0.514581i \(-0.172053\pi\)
−0.266435 + 0.963853i \(0.585846\pi\)
\(692\) −3.99261 + 10.0207i −0.151776 + 0.380930i
\(693\) 9.47201 13.9702i 0.359812 0.530683i
\(694\) −3.63913 22.1977i −0.138140 0.842614i
\(695\) 0.818907 + 15.1039i 0.0310629 + 0.572922i
\(696\) −4.77033 1.05003i −0.180819 0.0398012i
\(697\) 7.73827 + 19.4216i 0.293108 + 0.735645i
\(698\) 0.420513 1.51455i 0.0159166 0.0573266i
\(699\) −0.316096 + 5.83005i −0.0119559 + 0.220513i
\(700\) 37.7553 4.10613i 1.42702 0.155197i
\(701\) −9.21421 + 7.00446i −0.348016 + 0.264555i −0.764549 0.644566i \(-0.777038\pi\)
0.416533 + 0.909121i \(0.363245\pi\)
\(702\) 0.238472 + 0.858898i 0.00900054 + 0.0324170i
\(703\) 12.7630 2.80935i 0.481367 0.105957i
\(704\) −2.41731 3.56526i −0.0911057 0.134371i
\(705\) 4.79660 4.54358i 0.180650 0.171121i
\(706\) 13.2474 24.9872i 0.498572 0.940407i
\(707\) −6.01493 −0.226215
\(708\) 7.53489 1.49177i 0.283179 0.0560643i
\(709\) 42.4938 1.59589 0.797944 0.602732i \(-0.205921\pi\)
0.797944 + 0.602732i \(0.205921\pi\)
\(710\) 15.6068 29.4375i 0.585711 1.10477i
\(711\) −9.26508 + 8.77635i −0.347468 + 0.329139i
\(712\) 5.76559 + 8.50361i 0.216075 + 0.318686i
\(713\) 51.7205 11.3845i 1.93695 0.426354i
\(714\) −4.22159 15.2048i −0.157989 0.569026i
\(715\) 11.7165 8.90667i 0.438173 0.333090i
\(716\) 23.4545 2.55083i 0.876535 0.0953290i
\(717\) −0.0692187 + 1.27666i −0.00258502 + 0.0476779i
\(718\) 0.0719285 0.259063i 0.00268435 0.00966814i
\(719\) −11.7185 29.4113i −0.437027 1.09686i −0.968330 0.249674i \(-0.919677\pi\)
0.531302 0.847182i \(-0.321703\pi\)
\(720\) −3.74342 0.823990i −0.139509 0.0307083i
\(721\) −0.0559087 1.03118i −0.00208215 0.0384030i
\(722\) −2.34238 14.2879i −0.0871742 0.531739i
\(723\) 3.12158 4.60398i 0.116093 0.171224i
\(724\) −0.990682 + 2.48643i −0.0368184 + 0.0924073i
\(725\) 37.6884 + 28.6500i 1.39971 + 1.06403i
\(726\) 6.47311 + 3.89474i 0.240240 + 0.144547i
\(727\) 30.7712 10.3680i 1.14124 0.384528i 0.315692 0.948862i \(-0.397763\pi\)
0.825547 + 0.564333i \(0.190867\pi\)
\(728\) −2.53578 2.40202i −0.0939822 0.0890246i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) −1.83776 0.199868i −0.0680185 0.00739746i
\(731\) 7.67234 4.61629i 0.283772 0.170740i
\(732\) 4.26805 5.02474i 0.157752 0.185720i
\(733\) −9.18089 + 4.24753i −0.339104 + 0.156886i −0.582049 0.813154i \(-0.697749\pi\)
0.242945 + 0.970040i \(0.421887\pi\)
\(734\) −12.7113 5.88089i −0.469184 0.217068i
\(735\) 20.7299 + 24.4052i 0.764635 + 0.900198i
\(736\) 6.28728 + 2.11843i 0.231752 + 0.0780865i
\(737\) 9.37706 + 17.6870i 0.345409 + 0.651510i
\(738\) 2.43169 + 4.58665i 0.0895117 + 0.168837i
\(739\) −12.1848 4.10555i −0.448226 0.151025i 0.0861308 0.996284i \(-0.472550\pi\)
−0.534357 + 0.845259i \(0.679446\pi\)
\(740\) −5.60468 6.59834i −0.206032 0.242560i
\(741\) 4.68095 + 2.16564i 0.171959 + 0.0795566i
\(742\) 45.2221 20.9220i 1.66015 0.768069i
\(743\) 16.8301 19.8140i 0.617438 0.726904i −0.361202 0.932488i \(-0.617633\pi\)
0.978640 + 0.205584i \(0.0659093\pi\)
\(744\) −6.83961 + 4.11526i −0.250752 + 0.150873i
\(745\) −45.0268 4.89696i −1.64965 0.179411i
\(746\) −2.82998 + 17.2621i −0.103613 + 0.632011i
\(747\) 8.29361 + 7.85613i 0.303447 + 0.287441i
\(748\) 16.4388 5.53888i 0.601063 0.202522i
\(749\) 5.65600 + 3.40310i 0.206666 + 0.124347i
\(750\) 14.3180 + 10.8842i 0.522818 + 0.397436i
\(751\) 2.16684 5.43835i 0.0790690 0.198448i −0.884128 0.467245i \(-0.845247\pi\)
0.963197 + 0.268797i \(0.0866259\pi\)
\(752\) 0.967307 1.42667i 0.0352740 0.0520253i
\(753\) 4.12963 + 25.1896i 0.150492 + 0.917961i
\(754\) −0.235721 4.34763i −0.00858447 0.158331i
\(755\) −11.1068 2.44479i −0.404217 0.0889748i
\(756\) −1.45035 3.64011i −0.0527488 0.132390i
\(757\) 7.07194 25.4708i 0.257034 0.925754i −0.716571 0.697514i \(-0.754289\pi\)
0.973605 0.228239i \(-0.0732968\pi\)
\(758\) 1.34731 24.8497i 0.0489366