Properties

Label 392.2.z.a.109.43
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.43
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.43

$q$-expansion

\(f(q)\) \(=\) \(q+(1.04049 - 0.957798i) q^{2} +(-0.167383 - 1.11051i) q^{3} +(0.165244 - 1.99316i) q^{4} +(2.65001 + 1.04005i) q^{5} +(-1.23781 - 0.995159i) q^{6} +(2.56499 + 0.648729i) q^{7} +(-1.73711 - 2.23214i) q^{8} +(1.66150 - 0.512504i) q^{9} +O(q^{10})\) \(q+(1.04049 - 0.957798i) q^{2} +(-0.167383 - 1.11051i) q^{3} +(0.165244 - 1.99316i) q^{4} +(2.65001 + 1.04005i) q^{5} +(-1.23781 - 0.995159i) q^{6} +(2.56499 + 0.648729i) q^{7} +(-1.73711 - 2.23214i) q^{8} +(1.66150 - 0.512504i) q^{9} +(3.75347 - 1.45601i) q^{10} +(-1.29629 + 4.20248i) q^{11} +(-2.24109 + 0.150115i) q^{12} +(-1.42183 + 0.324524i) q^{13} +(3.29020 - 1.78174i) q^{14} +(0.711425 - 3.11696i) q^{15} +(-3.94539 - 0.658716i) q^{16} +(-0.726083 + 0.495035i) q^{17} +(1.23790 - 2.12464i) q^{18} +(-4.43002 + 2.55768i) q^{19} +(2.51089 - 5.11004i) q^{20} +(0.291087 - 2.95703i) q^{21} +(2.67635 + 5.61424i) q^{22} +(-4.97250 - 3.39019i) q^{23} +(-2.18805 + 2.30271i) q^{24} +(2.27559 + 2.11144i) q^{25} +(-1.16858 + 1.69950i) q^{26} +(-2.30908 - 4.79484i) q^{27} +(1.71687 - 5.00523i) q^{28} +(2.61300 - 5.42596i) q^{29} +(-2.24518 - 3.92457i) q^{30} +(-3.42577 + 5.93360i) q^{31} +(-4.73606 + 3.09350i) q^{32} +(4.88389 + 0.736128i) q^{33} +(-0.281339 + 1.21052i) q^{34} +(6.12253 + 4.38686i) q^{35} +(-0.746951 - 3.39632i) q^{36} +(-3.38341 + 0.253551i) q^{37} +(-2.15966 + 6.90431i) q^{38} +(0.598379 + 1.52464i) q^{39} +(-2.28183 - 7.72188i) q^{40} +(2.18561 + 2.74067i) q^{41} +(-2.52937 - 3.35557i) q^{42} +(-6.60466 - 5.26704i) q^{43} +(8.16203 + 3.27816i) q^{44} +(4.93602 + 0.369904i) q^{45} +(-8.42096 + 1.23519i) q^{46} +(-1.71704 + 1.59318i) q^{47} +(-0.0711224 + 4.49166i) q^{48} +(6.15830 + 3.32796i) q^{49} +(4.39006 + 0.0173771i) q^{50} +(0.671276 + 0.723464i) q^{51} +(0.411880 + 2.88757i) q^{52} +(-10.7949 - 0.808968i) q^{53} +(-6.99507 - 2.77736i) q^{54} +(-7.80600 + 9.78841i) q^{55} +(-3.00762 - 6.85232i) q^{56} +(3.58184 + 4.49148i) q^{57} +(-2.47817 - 8.14840i) q^{58} +(10.0541 - 3.94596i) q^{59} +(-6.09504 - 1.93304i) q^{60} +(8.05164 - 0.603387i) q^{61} +(2.11871 + 9.45505i) q^{62} +(4.59420 - 0.236704i) q^{63} +(-1.96488 + 7.75495i) q^{64} +(-4.10540 - 0.618789i) q^{65} +(5.78670 - 3.91185i) q^{66} +(11.5367 + 6.66071i) q^{67} +(0.866704 + 1.52900i) q^{68} +(-2.93254 + 6.08948i) q^{69} +(10.5722 - 1.29966i) q^{70} +(1.46019 - 0.703193i) q^{71} +(-4.03019 - 2.81842i) q^{72} +(11.2538 + 10.4420i) q^{73} +(-3.27755 + 3.50444i) q^{74} +(1.96388 - 2.88049i) q^{75} +(4.36583 + 9.25239i) q^{76} +(-6.05125 + 9.93837i) q^{77} +(2.08291 + 1.01325i) q^{78} +(-5.25984 - 9.11032i) q^{79} +(-9.77022 - 5.84902i) q^{80} +(-0.628375 + 0.428419i) q^{81} +(4.89912 + 0.758267i) q^{82} +(3.53540 + 0.806933i) q^{83} +(-5.84575 - 1.06882i) q^{84} +(-2.43899 + 0.556684i) q^{85} +(-11.9168 + 0.845623i) q^{86} +(-6.46297 - 1.99356i) q^{87} +(11.6323 - 4.40668i) q^{88} +(5.35132 - 1.65066i) q^{89} +(5.49018 - 4.34283i) q^{90} +(-3.85751 - 0.0899844i) q^{91} +(-7.57888 + 9.35079i) q^{92} +(7.16275 + 2.81117i) q^{93} +(-0.260619 + 3.30226i) q^{94} +(-14.3997 + 2.17041i) q^{95} +(4.22810 + 4.74165i) q^{96} -9.24079 q^{97} +(9.59517 - 2.43570i) q^{98} +7.64678i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) \) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.04049 0.957798i 0.735738 0.677266i
\(3\) −0.167383 1.11051i −0.0966385 0.641154i −0.983742 0.179585i \(-0.942525\pi\)
0.887104 0.461570i \(-0.152714\pi\)
\(4\) 0.165244 1.99316i 0.0826220 0.996581i
\(5\) 2.65001 + 1.04005i 1.18512 + 0.465126i 0.874320 0.485349i \(-0.161308\pi\)
0.310801 + 0.950475i \(0.399403\pi\)
\(6\) −1.23781 0.995159i −0.505333 0.406272i
\(7\) 2.56499 + 0.648729i 0.969473 + 0.245196i
\(8\) −1.73711 2.23214i −0.614162 0.789180i
\(9\) 1.66150 0.512504i 0.553833 0.170835i
\(10\) 3.75347 1.45601i 1.18695 0.460431i
\(11\) −1.29629 + 4.20248i −0.390848 + 1.26710i 0.519933 + 0.854207i \(0.325957\pi\)
−0.910781 + 0.412890i \(0.864519\pi\)
\(12\) −2.24109 + 0.150115i −0.646947 + 0.0433346i
\(13\) −1.42183 + 0.324524i −0.394346 + 0.0900069i −0.415096 0.909778i \(-0.636252\pi\)
0.0207497 + 0.999785i \(0.493395\pi\)
\(14\) 3.29020 1.78174i 0.879342 0.476191i
\(15\) 0.711425 3.11696i 0.183689 0.804795i
\(16\) −3.94539 0.658716i −0.986347 0.164679i
\(17\) −0.726083 + 0.495035i −0.176101 + 0.120064i −0.648163 0.761502i \(-0.724462\pi\)
0.472062 + 0.881566i \(0.343510\pi\)
\(18\) 1.23790 2.12464i 0.291775 0.500782i
\(19\) −4.43002 + 2.55768i −1.01632 + 0.586771i −0.913035 0.407881i \(-0.866268\pi\)
−0.103282 + 0.994652i \(0.532934\pi\)
\(20\) 2.51089 5.11004i 0.561453 1.14264i
\(21\) 0.291087 2.95703i 0.0635203 0.645278i
\(22\) 2.67635 + 5.61424i 0.570600 + 1.19696i
\(23\) −4.97250 3.39019i −1.03684 0.706904i −0.0797832 0.996812i \(-0.525423\pi\)
−0.957054 + 0.289908i \(0.906375\pi\)
\(24\) −2.18805 + 2.30271i −0.446635 + 0.470038i
\(25\) 2.27559 + 2.11144i 0.455118 + 0.422288i
\(26\) −1.16858 + 1.69950i −0.229177 + 0.333298i
\(27\) −2.30908 4.79484i −0.444382 0.922768i
\(28\) 1.71687 5.00523i 0.324458 0.945900i
\(29\) 2.61300 5.42596i 0.485223 1.00758i −0.504344 0.863503i \(-0.668266\pi\)
0.989567 0.144073i \(-0.0460200\pi\)
\(30\) −2.24518 3.92457i −0.409913 0.716525i
\(31\) −3.42577 + 5.93360i −0.615286 + 1.06571i 0.375049 + 0.927005i \(0.377626\pi\)
−0.990334 + 0.138701i \(0.955707\pi\)
\(32\) −4.73606 + 3.09350i −0.837225 + 0.546858i
\(33\) 4.88389 + 0.736128i 0.850176 + 0.128143i
\(34\) −0.281339 + 1.21052i −0.0482493 + 0.207603i
\(35\) 6.12253 + 4.38686i 1.03490 + 0.741514i
\(36\) −0.746951 3.39632i −0.124492 0.566054i
\(37\) −3.38341 + 0.253551i −0.556229 + 0.0416836i −0.349879 0.936795i \(-0.613777\pi\)
−0.206349 + 0.978478i \(0.566158\pi\)
\(38\) −2.15966 + 6.90431i −0.350344 + 1.12003i
\(39\) 0.598379 + 1.52464i 0.0958173 + 0.244138i
\(40\) −2.28183 7.72188i −0.360788 1.22094i
\(41\) 2.18561 + 2.74067i 0.341335 + 0.428020i 0.922638 0.385666i \(-0.126028\pi\)
−0.581303 + 0.813687i \(0.697457\pi\)
\(42\) −2.52937 3.35557i −0.390290 0.517776i
\(43\) −6.60466 5.26704i −1.00720 0.803216i −0.0266823 0.999644i \(-0.508494\pi\)
−0.980518 + 0.196428i \(0.937066\pi\)
\(44\) 8.16203 + 3.27816i 1.23047 + 0.494201i
\(45\) 4.93602 + 0.369904i 0.735818 + 0.0551420i
\(46\) −8.42096 + 1.23519i −1.24160 + 0.182118i
\(47\) −1.71704 + 1.59318i −0.250456 + 0.232389i −0.795402 0.606082i \(-0.792740\pi\)
0.544947 + 0.838471i \(0.316550\pi\)
\(48\) −0.0711224 + 4.49166i −0.0102656 + 0.648315i
\(49\) 6.15830 + 3.32796i 0.879757 + 0.475423i
\(50\) 4.39006 + 0.0173771i 0.620849 + 0.00245749i
\(51\) 0.671276 + 0.723464i 0.0939975 + 0.101305i
\(52\) 0.411880 + 2.88757i 0.0571175 + 0.400434i
\(53\) −10.7949 0.808968i −1.48280 0.111120i −0.691422 0.722451i \(-0.743016\pi\)
−0.791375 + 0.611331i \(0.790635\pi\)
\(54\) −6.99507 2.77736i −0.951908 0.377951i
\(55\) −7.80600 + 9.78841i −1.05256 + 1.31987i
\(56\) −3.00762 6.85232i −0.401910 0.915679i
\(57\) 3.58184 + 4.49148i 0.474426 + 0.594912i
\(58\) −2.47817 8.14840i −0.325399 1.06994i
\(59\) 10.0541 3.94596i 1.30894 0.513720i 0.394666 0.918824i \(-0.370860\pi\)
0.914270 + 0.405105i \(0.132765\pi\)
\(60\) −6.09504 1.93304i −0.786866 0.249555i
\(61\) 8.05164 0.603387i 1.03091 0.0772558i 0.451481 0.892281i \(-0.350896\pi\)
0.579426 + 0.815025i \(0.303277\pi\)
\(62\) 2.11871 + 9.45505i 0.269077 + 1.20079i
\(63\) 4.59420 0.236704i 0.578814 0.0298220i
\(64\) −1.96488 + 7.75495i −0.245610 + 0.969369i
\(65\) −4.10540 0.618789i −0.509212 0.0767514i
\(66\) 5.78670 3.91185i 0.712294 0.481515i
\(67\) 11.5367 + 6.66071i 1.40943 + 0.813735i 0.995333 0.0964977i \(-0.0307640\pi\)
0.414097 + 0.910233i \(0.364097\pi\)
\(68\) 0.866704 + 1.52900i 0.105103 + 0.185419i
\(69\) −2.93254 + 6.08948i −0.353036 + 0.733087i
\(70\) 10.5722 1.29966i 1.26362 0.155339i
\(71\) 1.46019 0.703193i 0.173293 0.0834536i −0.345226 0.938520i \(-0.612198\pi\)
0.518519 + 0.855066i \(0.326483\pi\)
\(72\) −4.03019 2.81842i −0.474962 0.332154i
\(73\) 11.2538 + 10.4420i 1.31716 + 1.22215i 0.957285 + 0.289146i \(0.0933714\pi\)
0.359876 + 0.933000i \(0.382819\pi\)
\(74\) −3.27755 + 3.50444i −0.381008 + 0.407383i
\(75\) 1.96388 2.88049i 0.226770 0.332610i
\(76\) 4.36583 + 9.25239i 0.500795 + 1.06132i
\(77\) −6.05125 + 9.93837i −0.689604 + 1.13258i
\(78\) 2.08291 + 1.01325i 0.235843 + 0.114728i
\(79\) −5.25984 9.11032i −0.591779 1.02499i −0.993993 0.109445i \(-0.965093\pi\)
0.402214 0.915546i \(-0.368241\pi\)
\(80\) −9.77022 5.84902i −1.09234 0.653940i
\(81\) −0.628375 + 0.428419i −0.0698195 + 0.0476021i
\(82\) 4.89912 + 0.758267i 0.541017 + 0.0837366i
\(83\) 3.53540 + 0.806933i 0.388061 + 0.0885724i 0.412100 0.911139i \(-0.364795\pi\)
−0.0240390 + 0.999711i \(0.507653\pi\)
\(84\) −5.84575 1.06882i −0.637823 0.116617i
\(85\) −2.43899 + 0.556684i −0.264546 + 0.0603808i
\(86\) −11.9168 + 0.845623i −1.28503 + 0.0911859i
\(87\) −6.46297 1.99356i −0.692903 0.213732i
\(88\) 11.6323 4.40668i 1.24001 0.469754i
\(89\) 5.35132 1.65066i 0.567239 0.174970i 0.00214654 0.999998i \(-0.499317\pi\)
0.565092 + 0.825028i \(0.308841\pi\)
\(90\) 5.49018 4.34283i 0.578716 0.457775i
\(91\) −3.85751 0.0899844i −0.404377 0.00943293i
\(92\) −7.57888 + 9.35079i −0.790153 + 0.974887i
\(93\) 7.16275 + 2.81117i 0.742742 + 0.291505i
\(94\) −0.260619 + 3.30226i −0.0268808 + 0.340603i
\(95\) −14.3997 + 2.17041i −1.47738 + 0.222679i
\(96\) 4.22810 + 4.74165i 0.431529 + 0.483943i
\(97\) −9.24079 −0.938260 −0.469130 0.883129i \(-0.655432\pi\)
−0.469130 + 0.883129i \(0.655432\pi\)
\(98\) 9.59517 2.43570i 0.969259 0.246043i
\(99\) 7.64678i 0.768530i
\(100\) 4.58447 4.18672i 0.458447 0.418672i
\(101\) 0.603772 + 4.00577i 0.0600776 + 0.398589i 0.998578 + 0.0533105i \(0.0169773\pi\)
−0.938500 + 0.345278i \(0.887785\pi\)
\(102\) 1.39139 + 0.109810i 0.137768 + 0.0108728i
\(103\) 3.87044 9.86172i 0.381366 0.971704i −0.603341 0.797483i \(-0.706164\pi\)
0.984707 0.174221i \(-0.0557406\pi\)
\(104\) 3.19427 + 2.60999i 0.313224 + 0.255931i
\(105\) 3.84685 7.53343i 0.375414 0.735187i
\(106\) −12.0069 + 9.49764i −1.16621 + 0.922493i
\(107\) −3.00098 9.72894i −0.290116 0.940532i −0.976905 0.213675i \(-0.931457\pi\)
0.686789 0.726857i \(-0.259020\pi\)
\(108\) −9.93846 + 3.81004i −0.956329 + 0.366621i
\(109\) 4.15043 13.4554i 0.397539 1.28879i −0.506833 0.862044i \(-0.669184\pi\)
0.904372 0.426745i \(-0.140340\pi\)
\(110\) 1.25325 + 17.6613i 0.119493 + 1.68394i
\(111\) 0.847896 + 3.71487i 0.0804787 + 0.352600i
\(112\) −9.69254 4.24909i −0.915859 0.401501i
\(113\) 0.569428 2.49483i 0.0535673 0.234694i −0.941056 0.338250i \(-0.890165\pi\)
0.994624 + 0.103556i \(0.0330222\pi\)
\(114\) 8.02881 + 1.24267i 0.751967 + 0.116387i
\(115\) −9.65120 14.1557i −0.899979 1.32003i
\(116\) −10.3830 6.10475i −0.964040 0.566812i
\(117\) −2.19605 + 1.26789i −0.203025 + 0.117217i
\(118\) 6.68181 13.7356i 0.615110 1.26446i
\(119\) −2.18354 + 0.798727i −0.200164 + 0.0732192i
\(120\) −8.19330 + 3.82650i −0.747943 + 0.349311i
\(121\) −6.89187 4.69880i −0.626533 0.427163i
\(122\) 7.79974 8.33967i 0.706155 0.755038i
\(123\) 2.67771 2.88589i 0.241441 0.260212i
\(124\) 11.2605 + 7.80860i 1.01123 + 0.701233i
\(125\) −2.34157 4.86232i −0.209436 0.434899i
\(126\) 4.55351 4.64660i 0.405658 0.413952i
\(127\) 16.5015 + 7.94668i 1.46427 + 0.705154i 0.985006 0.172519i \(-0.0551905\pi\)
0.479261 + 0.877672i \(0.340905\pi\)
\(128\) 5.38324 + 9.95092i 0.475816 + 0.879545i
\(129\) −4.74360 + 8.21616i −0.417651 + 0.723393i
\(130\) −4.86431 + 3.28830i −0.426628 + 0.288403i
\(131\) −0.248874 + 1.65117i −0.0217442 + 0.144263i −0.997069 0.0765135i \(-0.975621\pi\)
0.975324 + 0.220777i \(0.0708593\pi\)
\(132\) 2.27425 9.61274i 0.197948 0.836681i
\(133\) −13.0222 + 3.68652i −1.12917 + 0.319661i
\(134\) 18.3834 4.11941i 1.58809 0.355863i
\(135\) −1.13218 15.1079i −0.0974429 1.30029i
\(136\) 2.36627 + 0.760786i 0.202906 + 0.0652369i
\(137\) 2.11382 + 5.38592i 0.180596 + 0.460150i 0.992291 0.123931i \(-0.0395502\pi\)
−0.811695 + 0.584081i \(0.801455\pi\)
\(138\) 2.78121 + 9.14483i 0.236753 + 0.778460i
\(139\) −9.61555 + 7.66814i −0.815580 + 0.650404i −0.939752 0.341857i \(-0.888944\pi\)
0.124172 + 0.992261i \(0.460373\pi\)
\(140\) 9.75543 11.4783i 0.824484 0.970092i
\(141\) 2.05665 + 1.64012i 0.173201 + 0.138123i
\(142\) 0.845803 2.13024i 0.0709782 0.178766i
\(143\) 0.479308 6.39591i 0.0400817 0.534853i
\(144\) −6.89285 + 0.927573i −0.574404 + 0.0772977i
\(145\) 12.5678 11.6612i 1.04370 0.968409i
\(146\) 21.7109 + 0.0859375i 1.79680 + 0.00711224i
\(147\) 2.66495 7.39591i 0.219801 0.610005i
\(148\) −0.0537192 + 6.78558i −0.00441569 + 0.557771i
\(149\) −5.07450 5.46901i −0.415719 0.448039i 0.490123 0.871653i \(-0.336952\pi\)
−0.905843 + 0.423614i \(0.860761\pi\)
\(150\) −0.715524 4.87813i −0.0584223 0.398297i
\(151\) 0.0200772 0.267912i 0.00163386 0.0218024i −0.996327 0.0856268i \(-0.972711\pi\)
0.997961 + 0.0638245i \(0.0203298\pi\)
\(152\) 13.4045 + 5.44545i 1.08725 + 0.441685i
\(153\) −0.952678 + 1.19462i −0.0770195 + 0.0965794i
\(154\) 3.22268 + 16.1367i 0.259691 + 1.30033i
\(155\) −15.2496 + 12.1611i −1.22488 + 0.976805i
\(156\) 3.13774 0.940727i 0.251220 0.0753185i
\(157\) −2.98244 + 1.17052i −0.238025 + 0.0934179i −0.481355 0.876526i \(-0.659855\pi\)
0.243330 + 0.969943i \(0.421760\pi\)
\(158\) −14.1987 4.44134i −1.12959 0.353334i
\(159\) 0.908516 + 12.1233i 0.0720500 + 0.961441i
\(160\) −15.7680 + 3.27205i −1.24657 + 0.258679i
\(161\) −10.5551 11.9216i −0.831856 0.939553i
\(162\) −0.243480 + 1.04762i −0.0191296 + 0.0823090i
\(163\) −1.35911 + 9.01713i −0.106454 + 0.706276i 0.870396 + 0.492352i \(0.163863\pi\)
−0.976850 + 0.213924i \(0.931375\pi\)
\(164\) 5.82375 3.90339i 0.454759 0.304804i
\(165\) 12.1767 + 7.03025i 0.947958 + 0.547304i
\(166\) 4.45144 2.54660i 0.345498 0.197654i
\(167\) −16.2475 7.82440i −1.25727 0.605470i −0.317820 0.948151i \(-0.602951\pi\)
−0.939452 + 0.342681i \(0.888665\pi\)
\(168\) −7.10616 + 4.48695i −0.548252 + 0.346176i
\(169\) −9.79630 + 4.71765i −0.753561 + 0.362896i
\(170\) −2.00456 + 2.91529i −0.153743 + 0.223592i
\(171\) −6.04966 + 6.51998i −0.462629 + 0.498595i
\(172\) −11.5894 + 12.2938i −0.883686 + 0.937394i
\(173\) −1.72370 + 2.52821i −0.131051 + 0.192216i −0.886155 0.463388i \(-0.846634\pi\)
0.755105 + 0.655604i \(0.227586\pi\)
\(174\) −8.63409 + 4.11594i −0.654549 + 0.312028i
\(175\) 4.46710 + 6.89205i 0.337681 + 0.520990i
\(176\) 7.88263 15.7265i 0.594176 1.18543i
\(177\) −6.06492 10.5048i −0.455867 0.789586i
\(178\) 3.98700 6.84299i 0.298838 0.512904i
\(179\) −3.10801 4.55861i −0.232303 0.340726i 0.692333 0.721578i \(-0.256583\pi\)
−0.924636 + 0.380852i \(0.875631\pi\)
\(180\) 1.55293 9.77716i 0.115748 0.728747i
\(181\) 21.5989 + 4.92980i 1.60543 + 0.366429i 0.929001 0.370077i \(-0.120669\pi\)
0.676430 + 0.736507i \(0.263526\pi\)
\(182\) −4.09989 + 3.60109i −0.303904 + 0.266931i
\(183\) −2.01777 8.84045i −0.149158 0.653505i
\(184\) 1.07041 + 16.9884i 0.0789119 + 1.25241i
\(185\) −9.22977 2.84701i −0.678586 0.209316i
\(186\) 10.1453 3.93547i 0.743891 0.288563i
\(187\) −1.13916 3.69306i −0.0833036 0.270064i
\(188\) 2.89173 + 3.68560i 0.210901 + 0.268800i
\(189\) −2.81219 13.7967i −0.204557 1.00356i
\(190\) −12.9040 + 16.0503i −0.936153 + 1.16441i
\(191\) 2.67489 6.81552i 0.193549 0.493154i −0.800848 0.598868i \(-0.795618\pi\)
0.994397 + 0.105714i \(0.0337128\pi\)
\(192\) 8.94085 + 0.883979i 0.645250 + 0.0637957i
\(193\) 18.0225 2.71645i 1.29728 0.195534i 0.536147 0.844125i \(-0.319879\pi\)
0.761138 + 0.648590i \(0.224641\pi\)
\(194\) −9.61496 + 8.85081i −0.690314 + 0.635451i
\(195\) 4.66267i 0.333901i
\(196\) 7.65079 11.7246i 0.546485 0.837469i
\(197\) 11.2541i 0.801822i −0.916117 0.400911i \(-0.868694\pi\)
0.916117 0.400911i \(-0.131306\pi\)
\(198\) 7.32407 + 7.95640i 0.520499 + 0.565437i
\(199\) 0.750256 0.113083i 0.0531842 0.00801623i −0.122396 0.992481i \(-0.539058\pi\)
0.175580 + 0.984465i \(0.443820\pi\)
\(200\) 0.760067 8.74724i 0.0537449 0.618523i
\(201\) 5.46575 13.9265i 0.385525 0.982301i
\(202\) 4.46494 + 3.58967i 0.314152 + 0.252569i
\(203\) 10.2223 12.2224i 0.717465 0.857843i
\(204\) 1.55290 1.21841i 0.108725 0.0853060i
\(205\) 2.94145 + 9.53595i 0.205440 + 0.666020i
\(206\) −5.41838 13.9681i −0.377517 0.973206i
\(207\) −9.99929 3.08437i −0.694998 0.214379i
\(208\) 5.82346 0.343789i 0.403784 0.0238375i
\(209\) −5.00597 21.9326i −0.346270 1.51711i
\(210\) −3.21289 11.5230i −0.221710 0.795161i
\(211\) 23.7255 + 5.41520i 1.63333 + 0.372798i 0.938203 0.346085i \(-0.112489\pi\)
0.695131 + 0.718883i \(0.255346\pi\)
\(212\) −3.39620 + 21.3824i −0.233252 + 1.46855i
\(213\) −1.02532 1.50386i −0.0702535 0.103043i
\(214\) −12.4409 7.24854i −0.850440 0.495500i
\(215\) −12.0244 20.8269i −0.820058 1.42038i
\(216\) −6.69163 + 13.4834i −0.455308 + 0.917426i
\(217\) −12.6363 + 12.9972i −0.857810 + 0.882308i
\(218\) −8.56903 17.9754i −0.580368 1.21745i
\(219\) 9.71230 14.2453i 0.656296 0.962610i
\(220\) 18.2200 + 17.1761i 1.22839 + 1.15801i
\(221\) 0.871719 0.939489i 0.0586381 0.0631969i
\(222\) 4.44033 + 3.05318i 0.298015 + 0.204916i
\(223\) −7.34998 + 3.53956i −0.492191 + 0.237027i −0.663480 0.748194i \(-0.730921\pi\)
0.171289 + 0.985221i \(0.445207\pi\)
\(224\) −14.1548 + 4.86236i −0.945755 + 0.324880i
\(225\) 4.86301 + 2.34190i 0.324201 + 0.156127i
\(226\) −1.79706 3.14124i −0.119538 0.208952i
\(227\) 9.46563 + 5.46498i 0.628256 + 0.362724i 0.780076 0.625684i \(-0.215180\pi\)
−0.151820 + 0.988408i \(0.548514\pi\)
\(228\) 9.54413 6.39699i 0.632076 0.423651i
\(229\) −1.55172 + 10.2950i −0.102541 + 0.680313i 0.877212 + 0.480103i \(0.159401\pi\)
−0.979753 + 0.200210i \(0.935837\pi\)
\(230\) −23.6003 5.48499i −1.55616 0.361669i
\(231\) 12.0496 + 5.05647i 0.792802 + 0.332692i
\(232\) −16.6506 + 3.59292i −1.09316 + 0.235886i
\(233\) 0.297635 + 3.97166i 0.0194987 + 0.260192i 0.998431 + 0.0560046i \(0.0178362\pi\)
−0.978932 + 0.204187i \(0.934545\pi\)
\(234\) −1.07059 + 3.42261i −0.0699867 + 0.223743i
\(235\) −6.20716 + 2.43613i −0.404910 + 0.158916i
\(236\) −6.20354 20.6916i −0.403816 1.34691i
\(237\) −9.23671 + 7.36603i −0.599989 + 0.478475i
\(238\) −1.50693 + 2.92246i −0.0976798 + 0.189435i
\(239\) 0.573625 0.719303i 0.0371047 0.0465279i −0.762933 0.646478i \(-0.776241\pi\)
0.800038 + 0.599950i \(0.204813\pi\)
\(240\) −4.86004 + 11.8290i −0.313714 + 0.763557i
\(241\) −1.79250 + 23.9192i −0.115465 + 1.54077i 0.575452 + 0.817836i \(0.304826\pi\)
−0.690916 + 0.722935i \(0.742793\pi\)
\(242\) −11.6714 + 1.71196i −0.750268 + 0.110049i
\(243\) −10.2784 11.0775i −0.659362 0.710624i
\(244\) 0.127838 16.1479i 0.00818398 1.03377i
\(245\) 12.8583 + 15.2241i 0.821488 + 0.972631i
\(246\) 0.0220375 5.56745i 0.00140506 0.354968i
\(247\) 5.46873 5.07424i 0.347967 0.322866i
\(248\) 19.1956 2.66055i 1.21892 0.168945i
\(249\) 0.304343 4.06118i 0.0192870 0.257367i
\(250\) −7.09351 2.81645i −0.448633 0.178128i
\(251\) 4.54311 + 3.62301i 0.286758 + 0.228682i 0.756295 0.654231i \(-0.227008\pi\)
−0.469537 + 0.882913i \(0.655579\pi\)
\(252\) 0.287373 9.19609i 0.0181028 0.579299i
\(253\) 20.6931 16.5022i 1.30096 1.03748i
\(254\) 24.7809 7.53661i 1.55489 0.472889i
\(255\) 1.02645 + 2.61535i 0.0642787 + 0.163780i
\(256\) 15.1322 + 5.19778i 0.945762 + 0.324862i
\(257\) −0.944773 12.6071i −0.0589333 0.786410i −0.945875 0.324530i \(-0.894794\pi\)
0.886942 0.461880i \(-0.152825\pi\)
\(258\) 2.93375 + 13.0923i 0.182647 + 0.815088i
\(259\) −8.84288 1.54456i −0.549470 0.0959742i
\(260\) −1.91174 + 8.08047i −0.118561 + 0.501130i
\(261\) 1.56067 10.3544i 0.0966033 0.640921i
\(262\) 1.32254 + 1.95640i 0.0817067 + 0.120867i
\(263\) 11.7470 20.3464i 0.724350 1.25461i −0.234892 0.972022i \(-0.575474\pi\)
0.959241 0.282589i \(-0.0911932\pi\)
\(264\) −6.84072 12.1802i −0.421017 0.749642i
\(265\) −27.7653 13.3711i −1.70561 0.821378i
\(266\) −10.0185 + 16.3084i −0.614275 + 0.999933i
\(267\) −2.72880 5.66641i −0.167000 0.346779i
\(268\) 15.1822 21.8938i 0.927403 1.33738i
\(269\) −13.5511 + 14.6046i −0.826223 + 0.890457i −0.995466 0.0951173i \(-0.969677\pi\)
0.169243 + 0.985574i \(0.445868\pi\)
\(270\) −15.6484 14.6353i −0.952331 0.890675i
\(271\) 17.3731 + 11.8448i 1.05534 + 0.719517i 0.961147 0.276037i \(-0.0890212\pi\)
0.0941911 + 0.995554i \(0.469974\pi\)
\(272\) 3.19077 1.47482i 0.193469 0.0894243i
\(273\) 0.545752 + 4.29888i 0.0330304 + 0.260180i
\(274\) 7.35804 + 3.57939i 0.444515 + 0.216239i
\(275\) −11.8231 + 6.82608i −0.712961 + 0.411628i
\(276\) 11.6527 + 6.85127i 0.701412 + 0.412398i
\(277\) −9.55846 14.0197i −0.574312 0.842361i 0.423673 0.905815i \(-0.360741\pi\)
−0.997985 + 0.0634543i \(0.979788\pi\)
\(278\) −2.66036 + 17.1884i −0.159558 + 1.03089i
\(279\) −2.65091 + 11.6144i −0.158706 + 0.695335i
\(280\) −0.843446 21.2868i −0.0504055 1.27213i
\(281\) −2.49715 10.9407i −0.148968 0.652670i −0.993173 0.116650i \(-0.962784\pi\)
0.844205 0.536020i \(-0.180073\pi\)
\(282\) 3.71083 0.263321i 0.220977 0.0156806i
\(283\) −8.79285 + 28.5057i −0.522680 + 1.69449i 0.180584 + 0.983560i \(0.442201\pi\)
−0.703264 + 0.710929i \(0.748275\pi\)
\(284\) −1.16029 3.02660i −0.0688505 0.179596i
\(285\) 4.82053 + 15.6278i 0.285544 + 0.925710i
\(286\) −5.62728 7.11397i −0.332748 0.420658i
\(287\) 3.82811 + 8.44764i 0.225966 + 0.498649i
\(288\) −6.28352 + 7.56709i −0.370260 + 0.445895i
\(289\) −5.92866 + 15.1060i −0.348745 + 0.888587i
\(290\) 1.90759 24.1708i 0.112017 1.41936i
\(291\) 1.54675 + 10.2620i 0.0906720 + 0.601570i
\(292\) 22.6723 20.7052i 1.32679 1.21168i
\(293\) 33.6266i 1.96449i −0.187609 0.982244i \(-0.560074\pi\)
0.187609 0.982244i \(-0.439926\pi\)
\(294\) −4.31094 10.2479i −0.251419 0.597668i
\(295\) 30.7476 1.79019
\(296\) 6.44332 + 7.11179i 0.374510 + 0.413364i
\(297\) 23.1435 3.48832i 1.34292 0.202413i
\(298\) −10.5182 0.830109i −0.609302 0.0480869i
\(299\) 8.17027 + 3.20659i 0.472499 + 0.185442i
\(300\) −5.41676 4.39032i −0.312737 0.253475i
\(301\) −13.5240 17.7945i −0.779509 1.02566i
\(302\) −0.235715 0.297990i −0.0135639 0.0171474i
\(303\) 4.34739 1.34099i 0.249751 0.0770380i
\(304\) 19.1629 7.17289i 1.09907 0.411394i
\(305\) 21.9645 + 6.77515i 1.25768 + 0.387944i
\(306\) 0.152953 + 2.15547i 0.00874372 + 0.123220i
\(307\) 16.5050 3.76716i 0.941992 0.215003i 0.276165 0.961110i \(-0.410936\pi\)
0.665826 + 0.746107i \(0.268079\pi\)
\(308\) 18.8088 + 13.7034i 1.07173 + 0.780822i
\(309\) −11.5994 2.64749i −0.659867 0.150610i
\(310\) −4.21914 + 27.2596i −0.239631 + 1.54824i
\(311\) −4.13341 + 2.81811i −0.234384 + 0.159800i −0.674817 0.737985i \(-0.735777\pi\)
0.440433 + 0.897786i \(0.354825\pi\)
\(312\) 2.36377 3.98414i 0.133822 0.225558i
\(313\) −14.2641 24.7061i −0.806253 1.39647i −0.915442 0.402450i \(-0.868159\pi\)
0.109189 0.994021i \(-0.465175\pi\)
\(314\) −1.98208 + 4.07450i −0.111855 + 0.229937i
\(315\) 12.4209 + 4.15094i 0.699836 + 0.233879i
\(316\) −19.0275 + 8.97830i −1.07038 + 0.505069i
\(317\) −7.05778 + 10.3519i −0.396404 + 0.581419i −0.971609 0.236591i \(-0.923970\pi\)
0.575205 + 0.818009i \(0.304922\pi\)
\(318\) 12.5570 + 11.7440i 0.704161 + 0.658572i
\(319\) 19.4153 + 18.0148i 1.08705 + 1.00863i
\(320\) −13.2725 + 18.5071i −0.741956 + 1.03458i
\(321\) −10.3018 + 4.96108i −0.574990 + 0.276901i
\(322\) −22.4009 2.29469i −1.24836 0.127878i
\(323\) 1.95043 4.05010i 0.108525 0.225354i
\(324\) 0.750073 + 1.32325i 0.0416707 + 0.0735137i
\(325\) −3.92072 2.26363i −0.217483 0.125564i
\(326\) 7.22244 + 10.6840i 0.400014 + 0.591732i
\(327\) −15.6370 2.35690i −0.864730 0.130337i
\(328\) 2.32090 9.63943i 0.128150 0.532249i
\(329\) −5.43772 + 2.97259i −0.299791 + 0.163884i
\(330\) 19.4034 4.34796i 1.06812 0.239347i
\(331\) 21.8839 1.63997i 1.20285 0.0901408i 0.541814 0.840499i \(-0.317738\pi\)
0.661032 + 0.750358i \(0.270119\pi\)
\(332\) 2.19255 6.91329i 0.120332 0.379416i
\(333\) −5.49158 + 2.15529i −0.300937 + 0.118109i
\(334\) −24.3996 + 7.42065i −1.33509 + 0.406040i
\(335\) 23.6449 + 29.6497i 1.29186 + 1.61994i
\(336\) −3.09630 + 11.4749i −0.168917 + 0.626007i
\(337\) −11.1099 + 13.9314i −0.605196 + 0.758892i −0.986178 0.165691i \(-0.947015\pi\)
0.380982 + 0.924582i \(0.375586\pi\)
\(338\) −5.67441 + 14.2916i −0.308647 + 0.777358i
\(339\) −2.86585 0.214766i −0.155651 0.0116645i
\(340\) 0.706532 + 4.95329i 0.0383171 + 0.268630i
\(341\) −20.4951 22.0884i −1.10987 1.19616i
\(342\) −0.0497885 + 12.5783i −0.00269225 + 0.680158i
\(343\) 13.6370 + 12.5312i 0.736329 + 0.676623i
\(344\) −0.283724 + 23.8919i −0.0152974 + 1.28817i
\(345\) −14.1046 + 13.0872i −0.759368 + 0.704591i
\(346\) 0.628015 + 4.28154i 0.0337623 + 0.230177i
\(347\) −12.1486 0.910413i −0.652172 0.0488735i −0.255464 0.966819i \(-0.582228\pi\)
−0.396708 + 0.917945i \(0.629847\pi\)
\(348\) −5.04146 + 12.5523i −0.270250 + 0.672875i
\(349\) 3.14071 + 2.50463i 0.168118 + 0.134070i 0.703935 0.710265i \(-0.251425\pi\)
−0.535817 + 0.844334i \(0.679996\pi\)
\(350\) 11.2492 + 2.89253i 0.601294 + 0.154612i
\(351\) 4.83917 + 6.06812i 0.258296 + 0.323892i
\(352\) −6.86105 23.9133i −0.365695 1.27458i
\(353\) 3.77763 + 9.62524i 0.201063 + 0.512300i 0.995469 0.0950872i \(-0.0303130\pi\)
−0.794406 + 0.607387i \(0.792218\pi\)
\(354\) −16.3719 5.12113i −0.870158 0.272185i
\(355\) 4.60089 0.344789i 0.244190 0.0182995i
\(356\) −2.40577 10.9388i −0.127505 0.579756i
\(357\) 1.25248 + 2.29115i 0.0662884 + 0.121261i
\(358\) −7.60008 1.76635i −0.401677 0.0933544i
\(359\) −3.27532 0.493674i −0.172865 0.0260551i 0.0620395 0.998074i \(-0.480240\pi\)
−0.234904 + 0.972019i \(0.575478\pi\)
\(360\) −7.74875 11.6604i −0.408395 0.614559i
\(361\) 3.58340 6.20664i 0.188600 0.326665i
\(362\) 27.1952 15.5579i 1.42935 0.817708i
\(363\) −4.06449 + 8.44000i −0.213330 + 0.442985i
\(364\) −0.816785 + 7.67378i −0.0428111 + 0.402215i
\(365\) 18.9625 + 39.3761i 0.992543 + 2.06104i
\(366\) −10.5668 7.26579i −0.552338 0.379789i
\(367\) 2.04272 + 1.89537i 0.106629 + 0.0989373i 0.731686 0.681642i \(-0.238734\pi\)
−0.625057 + 0.780579i \(0.714924\pi\)
\(368\) 17.3853 + 16.6511i 0.906270 + 0.867998i
\(369\) 5.03599 + 3.43348i 0.262163 + 0.178740i
\(370\) −12.3304 + 5.87798i −0.641025 + 0.305581i
\(371\) −27.1640 9.07797i −1.41029 0.471305i
\(372\) 6.78672 13.8120i 0.351875 0.716118i
\(373\) 5.80400 3.35094i 0.300520 0.173505i −0.342157 0.939643i \(-0.611157\pi\)
0.642676 + 0.766138i \(0.277824\pi\)
\(374\) −4.72250 2.75152i −0.244194 0.142277i
\(375\) −5.00773 + 3.41421i −0.258598 + 0.176309i
\(376\) 6.53888 + 1.06514i 0.337217 + 0.0549302i
\(377\) −1.95440 + 8.56280i −0.100657 + 0.441007i
\(378\) −16.1405 11.6618i −0.830177 0.599818i
\(379\) −4.89660 + 1.11762i −0.251521 + 0.0574081i −0.346423 0.938079i \(-0.612604\pi\)
0.0949011 + 0.995487i \(0.469747\pi\)
\(380\) 1.94651 + 29.0596i 0.0998538 + 1.49073i
\(381\) 6.06283 19.6552i 0.310608 1.00697i
\(382\) −3.74469 9.65350i −0.191595 0.493916i
\(383\) −9.13511 + 2.81781i −0.466782 + 0.143983i −0.519219 0.854641i \(-0.673777\pi\)
0.0524372 + 0.998624i \(0.483301\pi\)
\(384\) 10.1496 7.64376i 0.517942 0.390069i
\(385\) −26.3723 + 20.0432i −1.34406 + 1.02149i
\(386\) 16.1504 20.0883i 0.822034 1.02247i
\(387\) −13.6730 5.36626i −0.695038 0.272782i
\(388\) −1.52699 + 18.4184i −0.0775210 + 0.935052i
\(389\) 2.39684 + 15.9020i 0.121525 + 0.806264i 0.963686 + 0.267038i \(0.0860450\pi\)
−0.842161 + 0.539226i \(0.818717\pi\)
\(390\) 4.46590 + 4.85147i 0.226140 + 0.245664i
\(391\) 5.28871 0.267462
\(392\) −3.26920 19.5272i −0.165119 0.986274i
\(393\) 1.87530 0.0945965
\(394\) −10.7792 11.7098i −0.543047 0.589932i
\(395\) −4.46344 29.6130i −0.224580 1.48999i
\(396\) 15.2413 + 1.26358i 0.765902 + 0.0634975i
\(397\) −22.7640 8.93421i −1.14249 0.448395i −0.282786 0.959183i \(-0.591259\pi\)
−0.859707 + 0.510788i \(0.829354\pi\)
\(398\) 0.672324 0.836256i 0.0337006 0.0419177i
\(399\) 6.27361 + 13.8442i 0.314073 + 0.693079i
\(400\) −7.58725 9.82941i −0.379362 0.491471i
\(401\) −24.0648 + 7.42301i −1.20174 + 0.370687i −0.830060 0.557674i \(-0.811694\pi\)
−0.371679 + 0.928361i \(0.621218\pi\)
\(402\) −7.65173 19.7255i −0.381633 0.983819i
\(403\) 2.94527 9.54834i 0.146714 0.475637i
\(404\) 8.08391 0.541486i 0.402190 0.0269400i
\(405\) −2.11078 + 0.481772i −0.104885 + 0.0239394i
\(406\) −1.07037 22.5082i −0.0531214 1.11706i
\(407\) 3.32035 14.5474i 0.164584 0.721088i
\(408\) 0.448789 2.75512i 0.0222183 0.136399i
\(409\) −21.7741 + 14.8453i −1.07666 + 0.734055i −0.965671 0.259767i \(-0.916354\pi\)
−0.110989 + 0.993822i \(0.535402\pi\)
\(410\) 12.1941 + 7.10475i 0.602222 + 0.350879i
\(411\) 5.62731 3.24893i 0.277575 0.160258i
\(412\) −19.0164 9.34400i −0.936873 0.460346i
\(413\) 28.3486 3.59892i 1.39494 0.177091i
\(414\) −13.3584 + 6.36804i −0.656528 + 0.312972i
\(415\) 8.52961 + 5.81539i 0.418702 + 0.285466i
\(416\) 5.72998 5.93541i 0.280935 0.291007i
\(417\) 10.1250 + 9.39467i 0.495826 + 0.460059i
\(418\) −26.2157 18.0260i −1.28225 0.881679i
\(419\) −2.47287 5.13497i −0.120808 0.250860i 0.831791 0.555088i \(-0.187316\pi\)
−0.952599 + 0.304229i \(0.901601\pi\)
\(420\) −14.3797 8.91226i −0.701656 0.434874i
\(421\) −17.1594 + 35.6319i −0.836298 + 1.73659i −0.177716 + 0.984082i \(0.556871\pi\)
−0.658582 + 0.752509i \(0.728843\pi\)
\(422\) 29.8729 17.0898i 1.45419 0.831920i
\(423\) −2.03634 + 3.52705i −0.0990105 + 0.171491i
\(424\) 16.9463 + 25.5010i 0.822984 + 1.23844i
\(425\) −2.69750 0.406583i −0.130848 0.0197222i
\(426\) −2.50723 0.582709i −0.121476 0.0282324i
\(427\) 21.0438 + 3.67565i 1.01838 + 0.177877i
\(428\) −19.8872 + 4.37379i −0.961286 + 0.211415i
\(429\) −7.18297 + 0.538289i −0.346797 + 0.0259888i
\(430\) −32.4593 10.1532i −1.56532 0.489633i
\(431\) 11.3185 + 28.8390i 0.545192 + 1.38913i 0.892360 + 0.451325i \(0.149048\pi\)
−0.347167 + 0.937803i \(0.612856\pi\)
\(432\) 5.95176 + 20.4386i 0.286354 + 0.983350i
\(433\) −8.64238 10.8372i −0.415326 0.520803i 0.529529 0.848292i \(-0.322369\pi\)
−0.944855 + 0.327489i \(0.893797\pi\)
\(434\) −0.699294 + 25.6265i −0.0335672 + 1.23011i
\(435\) −15.0535 12.0048i −0.721761 0.575585i
\(436\) −26.1329 10.4959i −1.25154 0.502662i
\(437\) 30.6993 + 2.30059i 1.46855 + 0.110052i
\(438\) −3.53859 24.1246i −0.169080 1.15272i
\(439\) 0.845214 0.784244i 0.0403398 0.0374299i −0.659745 0.751489i \(-0.729336\pi\)
0.700085 + 0.714059i \(0.253145\pi\)
\(440\) 35.4090 + 0.420493i 1.68806 + 0.0200462i
\(441\) 11.9376 + 2.37324i 0.568457 + 0.113012i
\(442\) 0.00717422 1.81246i 0.000341243 0.0862100i
\(443\) 16.6899 + 17.9874i 0.792959 + 0.854607i 0.992111 0.125362i \(-0.0400092\pi\)
−0.199152 + 0.979969i \(0.563819\pi\)
\(444\) 7.54446 1.07613i 0.358044 0.0510710i
\(445\) 15.8978 + 1.19138i 0.753630 + 0.0564767i
\(446\) −4.25740 + 10.7227i −0.201594 + 0.507734i
\(447\) −5.22402 + 6.55071i −0.247088 + 0.309838i
\(448\) −10.0707 + 18.6167i −0.475798 + 0.879554i
\(449\) −17.9093 22.4576i −0.845193 1.05984i −0.997441 0.0714966i \(-0.977222\pi\)
0.152247 0.988342i \(-0.451349\pi\)
\(450\) 7.30299 2.22105i 0.344266 0.104702i
\(451\) −14.3508 + 5.63228i −0.675753 + 0.265214i
\(452\) −4.87850 1.54722i −0.229465 0.0727750i
\(453\) −0.300880 + 0.0225478i −0.0141366 + 0.00105939i
\(454\) 15.0833 3.37990i 0.707892 0.158626i
\(455\) −10.1289 4.25048i −0.474848 0.199265i
\(456\) 3.80355 15.7974i 0.178118 0.739780i
\(457\) 12.0636 + 1.81830i 0.564312 + 0.0850563i 0.425002 0.905193i \(-0.360273\pi\)
0.139310 + 0.990249i \(0.455512\pi\)
\(458\) 8.24599 + 12.1981i 0.385310 + 0.569980i
\(459\) 4.05020 + 2.33838i 0.189047 + 0.109146i
\(460\) −29.8094 + 16.8973i −1.38987 + 0.787838i
\(461\) −0.330515 + 0.686321i −0.0153936 + 0.0319652i −0.908524 0.417833i \(-0.862790\pi\)
0.893130 + 0.449798i \(0.148504\pi\)
\(462\) 17.3805 6.27983i 0.808616 0.292164i
\(463\) 22.4852 10.8283i 1.04498 0.503234i 0.169013 0.985614i \(-0.445942\pi\)
0.875962 + 0.482380i \(0.160228\pi\)
\(464\) −13.8835 + 19.6863i −0.644525 + 0.913913i
\(465\) 16.0576 + 14.8993i 0.744653 + 0.690937i
\(466\) 4.11374 + 3.84740i 0.190565 + 0.178227i
\(467\) −10.9278 + 16.0281i −0.505677 + 0.741692i −0.991177 0.132545i \(-0.957685\pi\)
0.485500 + 0.874237i \(0.338638\pi\)
\(468\) 2.16423 + 4.58660i 0.100042 + 0.212016i
\(469\) 25.2704 + 24.5688i 1.16688 + 1.13448i
\(470\) −4.12517 + 8.47998i −0.190280 + 0.391152i
\(471\) 1.79909 + 3.11611i 0.0828977 + 0.143583i
\(472\) −26.2731 15.5876i −1.20932 0.717479i
\(473\) 30.6962 20.9283i 1.41141 0.962286i
\(474\) −2.55554 + 16.5112i −0.117380 + 0.758384i
\(475\) −15.4813 3.53350i −0.710330 0.162128i
\(476\) 1.23118 + 4.48413i 0.0564308 + 0.205530i
\(477\) −18.3504 + 4.18835i −0.840205 + 0.191771i
\(478\) −0.0920956 1.29785i −0.00421235 0.0593621i
\(479\) −30.5942 9.43707i −1.39789 0.431191i −0.497948 0.867207i \(-0.665913\pi\)
−0.899939 + 0.436016i \(0.856389\pi\)
\(480\) 6.27295 + 16.9629i 0.286320 + 0.774246i
\(481\) 4.72836 1.45851i 0.215595 0.0665022i
\(482\) 21.0447 + 26.6046i 0.958559 + 1.21180i
\(483\) −11.4723 + 13.7170i −0.522010 + 0.624145i
\(484\) −10.5043 + 12.9602i −0.477468 + 0.589098i
\(485\) −24.4882 9.61091i −1.11195 0.436409i
\(486\) −21.3047 1.68139i −0.966399 0.0762695i
\(487\) −19.6061 + 2.95515i −0.888439 + 0.133911i −0.577376 0.816479i \(-0.695923\pi\)
−0.311063 + 0.950389i \(0.600685\pi\)
\(488\) −15.3334 16.9242i −0.694113 0.766124i
\(489\) 10.2411 0.463119
\(490\) 27.9606 + 3.52486i 1.26313 + 0.159237i
\(491\) 1.95254i 0.0881170i 0.999029 + 0.0440585i \(0.0140288\pi\)
−0.999029 + 0.0440585i \(0.985971\pi\)
\(492\) −5.30956 5.81399i −0.239374 0.262115i
\(493\) 0.788782 + 5.23323i 0.0355250 + 0.235693i
\(494\) 0.830066 10.5176i 0.0373465 0.473211i
\(495\) −7.95305 + 20.2640i −0.357463 + 0.910801i
\(496\) 17.4245 21.1538i 0.782385 0.949832i
\(497\) 4.20156 0.856409i 0.188466 0.0384152i
\(498\) −3.57312 4.51712i −0.160115 0.202417i
\(499\) 6.57788 + 21.3250i 0.294466 + 0.954636i 0.975054 + 0.221969i \(0.0712485\pi\)
−0.680587 + 0.732667i \(0.738275\pi\)
\(500\) −10.0783 + 3.86366i −0.450716 + 0.172788i
\(501\) −5.96953 + 19.3528i −0.266699 + 0.864617i
\(502\) 8.19717 0.581674i 0.365858 0.0259614i
\(503\) −7.19938 31.5425i −0.321004 1.40641i −0.835769 0.549081i \(-0.814978\pi\)
0.514765 0.857331i \(-0.327879\pi\)
\(504\) −8.50899 9.84370i −0.379021 0.438473i
\(505\) −2.56621 + 11.2433i −0.114195 + 0.500319i
\(506\) 5.72520 36.9901i 0.254516 1.64441i
\(507\) 6.87874 + 10.0893i 0.305495 + 0.448080i
\(508\) 18.5658 31.5769i 0.823724 1.40100i
\(509\) 35.3110 20.3868i 1.56513 0.903630i 0.568411 0.822745i \(-0.307559\pi\)
0.996723 0.0808854i \(-0.0257748\pi\)
\(510\) 3.57299 + 1.73812i 0.158215 + 0.0769651i
\(511\) 22.0919 + 34.0843i 0.977286 + 1.50780i
\(512\) 20.7233 9.08534i 0.915851 0.401519i
\(513\) 22.4929 + 15.3354i 0.993086 + 0.677075i
\(514\) −13.0581 12.2127i −0.575968 0.538679i
\(515\) 20.5134 22.1082i 0.903929 0.974204i
\(516\) 15.5923 + 10.8124i 0.686412 + 0.475991i
\(517\) −4.46952 9.28105i −0.196569 0.408180i
\(518\) −10.6803 + 6.86260i −0.469266 + 0.301525i
\(519\) 3.09612 + 1.49101i 0.135905 + 0.0654482i
\(520\) 5.75032 + 10.2387i 0.252168 + 0.448998i
\(521\) −0.113508 + 0.196602i −0.00497290 + 0.00861331i −0.868501 0.495687i \(-0.834916\pi\)
0.863528 + 0.504300i \(0.168250\pi\)
\(522\) −8.29356 12.2685i −0.362999 0.536977i
\(523\) 3.99365 26.4961i 0.174630 1.15860i −0.714059 0.700086i \(-0.753145\pi\)
0.888689 0.458510i \(-0.151617\pi\)
\(524\) 3.24993 + 0.768892i 0.141974 + 0.0335892i
\(525\) 6.90599 6.11438i 0.301402 0.266854i
\(526\) −7.26509 32.4214i −0.316773 1.41364i
\(527\) −0.449950 6.00416i −0.0196001 0.261545i
\(528\) −18.7839 6.12141i −0.817466 0.266400i
\(529\) 4.82950 + 12.3054i 0.209978 + 0.535015i
\(530\) −41.6964 + 12.6811i −1.81117 + 0.550832i
\(531\) 14.6826 11.7090i 0.637171 0.508127i
\(532\) 5.19598 + 26.5645i 0.225275 + 1.15172i
\(533\) −3.99699 3.18749i −0.173129 0.138066i
\(534\) −8.26658 3.28221i −0.357730 0.142035i
\(535\) 2.16598 28.9030i 0.0936434 1.24958i
\(536\) −5.17290 37.3219i −0.223435 1.61206i
\(537\) −4.54216 + 4.21451i −0.196009 + 0.181870i
\(538\) −0.111525 + 28.1751i −0.00480818 + 1.21472i
\(539\) −21.9687 + 21.5662i −0.946258 + 0.928920i
\(540\) −30.2997 0.239873i −1.30389 0.0103225i
\(541\) −3.34276 3.60264i −0.143716 0.154889i 0.657091 0.753811i \(-0.271787\pi\)
−0.800808 + 0.598922i \(0.795596\pi\)
\(542\) 29.4214 4.31553i 1.26376 0.185368i
\(543\) 1.85932 24.8110i 0.0797913 1.06474i
\(544\) 1.90738 4.59065i 0.0817784 0.196823i
\(545\) 24.9930 31.3402i 1.07058 1.34247i
\(546\) 4.68531 + 3.95022i 0.200513 + 0.169054i
\(547\) 29.4474 23.4835i 1.25908 1.00408i 0.259817 0.965658i \(-0.416338\pi\)
0.999262 0.0384233i \(-0.0122335\pi\)
\(548\) 11.0843 3.32319i 0.473498 0.141960i
\(549\) 13.0685 5.12903i 0.557752 0.218902i
\(550\) −5.76384 + 18.4266i −0.245771 + 0.785715i
\(551\) 2.30217 + 30.7203i 0.0980758 + 1.30873i
\(552\) 18.6867 4.03228i 0.795359 0.171625i
\(553\) −7.58130 26.7800i −0.322390 1.13880i
\(554\) −23.3735 5.43228i −0.993046 0.230795i
\(555\) −1.61673 + 10.7263i −0.0686265 + 0.455307i
\(556\) 13.6949 + 20.4325i 0.580795 + 0.866529i
\(557\) −15.9699 9.22023i −0.676666 0.390674i 0.121931 0.992539i \(-0.461091\pi\)
−0.798598 + 0.601865i \(0.794425\pi\)
\(558\) 8.36600 + 14.6237i 0.354161 + 0.619071i
\(559\) 11.1000 + 5.34548i 0.469480 + 0.226090i
\(560\) −21.2661 21.3409i −0.898655 0.901816i
\(561\) −3.91052 + 1.88321i −0.165102 + 0.0795090i
\(562\) −13.0773 8.99198i −0.551632 0.379304i
\(563\) 0.289487 0.311993i 0.0122004 0.0131489i −0.726922 0.686720i \(-0.759050\pi\)
0.739123 + 0.673571i \(0.235240\pi\)
\(564\) 3.60887 3.82821i 0.151961 0.161197i
\(565\) 4.10374 6.01908i 0.172646 0.253225i
\(566\) 18.1538 + 38.0817i 0.763063 + 1.60069i
\(567\) −1.88970 + 0.691243i −0.0793600 + 0.0290295i
\(568\) −4.10615 2.03783i −0.172290 0.0855055i
\(569\) 16.2567 + 28.1574i 0.681516 + 1.18042i 0.974518 + 0.224309i \(0.0720125\pi\)
−0.293002 + 0.956112i \(0.594654\pi\)
\(570\) 19.9840 + 11.6435i 0.837037 + 0.487691i
\(571\) −23.4420 34.3831i −0.981017 1.43889i −0.896798 0.442441i \(-0.854113\pi\)
−0.0842199 0.996447i \(-0.526840\pi\)
\(572\) −12.6689 2.01222i −0.529713 0.0841353i
\(573\) −8.01645 1.82970i −0.334892 0.0764369i
\(574\) 12.0743 + 5.12314i 0.503969 + 0.213836i
\(575\) −4.15718 18.2138i −0.173367 0.759568i
\(576\) 0.709800 + 13.8918i 0.0295750 + 0.578827i
\(577\) −29.8882 9.21930i −1.24426 0.383804i −0.398404 0.917210i \(-0.630436\pi\)
−0.845859 + 0.533406i \(0.820912\pi\)
\(578\) 8.29977 + 21.3961i 0.345225 + 0.889961i
\(579\) −6.03330 19.5595i −0.250735 0.812864i
\(580\) −21.1659 26.9766i −0.878866 1.12014i
\(581\) 8.54478 + 4.36329i 0.354497 + 0.181020i
\(582\) 11.4383 + 9.19606i 0.474133 + 0.381189i
\(583\) 17.3931 44.3169i 0.720348 1.83542i
\(584\) 3.75888 43.2591i 0.155544 1.79007i
\(585\) −7.13824 + 1.07592i −0.295130 + 0.0444837i
\(586\) −32.2075 34.9882i −1.33048 1.44535i
\(587\) 10.1030i 0.416997i 0.978023 + 0.208499i \(0.0668576\pi\)
−0.978023 + 0.208499i \(0.933142\pi\)
\(588\) −14.3009 6.53380i −0.589758 0.269449i
\(589\) 35.0480i 1.44413i
\(590\) 31.9926 29.4500i 1.31711 1.21244i
\(591\) −12.4978 + 1.88374i −0.514092 + 0.0774869i
\(592\) 13.5159 + 1.22835i 0.555499 + 0.0504848i
\(593\) 14.0493 35.7970i 0.576935 1.47001i −0.282757 0.959192i \(-0.591249\pi\)
0.859691 0.510814i \(-0.170656\pi\)
\(594\) 20.7395 25.7964i 0.850952 1.05844i
\(595\) −6.61711 0.154358i −0.271275 0.00632805i
\(596\) −11.7392 + 9.21058i −0.480855 + 0.377280i
\(597\) −0.251160 0.814240i −0.0102793 0.0333246i
\(598\) 11.5724 4.48904i 0.473229 0.183570i
\(599\) −20.1589 6.21821i −0.823672 0.254069i −0.145860 0.989305i \(-0.546595\pi\)
−0.677811 + 0.735236i \(0.737071\pi\)
\(600\) −9.84113 + 0.620073i −0.401763 + 0.0253144i
\(601\) −5.05160 22.1325i −0.206059 0.902804i −0.967160 0.254170i \(-0.918198\pi\)
0.761100 0.648634i \(-0.224659\pi\)
\(602\) −31.1151 5.56179i −1.26816 0.226682i
\(603\) 22.5818 + 5.15415i 0.919603 + 0.209893i
\(604\) −0.530674 0.0842880i −0.0215928 0.00342963i
\(605\) −13.3765 19.6198i −0.543833 0.797657i
\(606\) 3.23902 5.55922i 0.131576 0.225828i
\(607\) −12.3669 21.4202i −0.501958 0.869417i −0.999997 0.00226268i \(-0.999280\pi\)
0.498039 0.867155i \(-0.334054\pi\)
\(608\) 13.0687 25.8176i 0.530005 1.04704i
\(609\) −15.2841 9.30617i −0.619344 0.377105i
\(610\) 29.3431 13.9881i 1.18807 0.566361i
\(611\) 1.92432 2.82246i 0.0778496 0.114184i
\(612\) 2.22365 + 2.09625i 0.0898856 + 0.0847357i
\(613\) −19.1464 + 20.6349i −0.773315 + 0.833435i −0.989742 0.142863i \(-0.954369\pi\)
0.216427 + 0.976299i \(0.430560\pi\)
\(614\) 13.5651 19.7282i 0.547445 0.796165i
\(615\) 10.0974 4.86267i 0.407168 0.196082i
\(616\) 32.6955 3.75684i 1.31734 0.151367i
\(617\) 4.11231 + 1.98038i 0.165555 + 0.0797272i 0.514826 0.857295i \(-0.327856\pi\)
−0.349271 + 0.937022i \(0.613571\pi\)
\(618\) −14.6048 + 8.35520i −0.587493 + 0.336096i
\(619\) 1.34459 + 0.776298i 0.0540436 + 0.0312021i 0.526778 0.850003i \(-0.323400\pi\)
−0.472735 + 0.881205i \(0.656733\pi\)
\(620\) 21.7192 + 32.4044i 0.872264 + 1.30139i
\(621\) −4.77357 + 31.6706i −0.191557 + 1.27090i
\(622\) −1.60159 + 6.89119i −0.0642180 + 0.276312i
\(623\) 14.7969 0.762373i 0.592825 0.0305438i
\(624\) −1.35653 6.40948i −0.0543046 0.256584i
\(625\) −2.30803 30.7985i −0.0923211 1.23194i
\(626\) −38.5051 12.0444i −1.53897 0.481390i
\(627\) −23.5185 + 9.23033i −0.939239 + 0.368624i
\(628\) 1.84021 + 6.13791i 0.0734324 + 0.244929i
\(629\) 2.33112 1.85900i 0.0929478 0.0741234i
\(630\) 16.8996 7.57766i 0.673294 0.301901i
\(631\) 7.52939 9.44156i 0.299740 0.375863i −0.609038 0.793141i \(-0.708444\pi\)
0.908779 + 0.417278i \(0.137016\pi\)
\(632\) −11.1985 + 27.5663i −0.445454 + 1.09653i
\(633\) 2.04240 27.2539i 0.0811781 1.08325i
\(634\) 2.57144 + 17.5310i 0.102125 + 0.696243i
\(635\) 35.4641 + 38.2212i 1.40735 + 1.51676i
\(636\) 24.3138 + 0.192485i 0.964107 + 0.00763251i
\(637\) −9.83609 2.73329i −0.389720 0.108297i
\(638\) 37.4559 + 0.148261i 1.48289 + 0.00586970i
\(639\) 2.06572 1.91671i 0.0817187 0.0758239i
\(640\) 3.91616 + 31.9689i 0.154800 + 1.26368i
\(641\) −3.01358 + 40.2134i −0.119029 + 1.58833i 0.543573 + 0.839362i \(0.317071\pi\)
−0.662602 + 0.748972i \(0.730548\pi\)
\(642\) −5.96721 + 15.0290i −0.235507 + 0.593148i
\(643\) −10.5047 8.37724i −0.414266 0.330366i 0.394078 0.919077i \(-0.371064\pi\)
−0.808344 + 0.588711i \(0.799636\pi\)
\(644\) −25.5058 + 19.0680i −1.00507 + 0.751384i
\(645\) −21.1158 + 16.8393i −0.831435 + 0.663048i
\(646\) −1.84978 6.08221i −0.0727786 0.239301i
\(647\) −10.5127 26.7859i −0.413296 1.05306i −0.974301 0.225250i \(-0.927680\pi\)
0.561005 0.827813i \(-0.310415\pi\)
\(648\) 2.04785 + 0.658408i 0.0804471 + 0.0258647i
\(649\) 3.54970 + 47.3675i 0.139338 + 1.85934i
\(650\) −6.24758 + 1.39998i −0.245050 + 0.0549115i
\(651\) 16.5487 + 11.8573i 0.648593 + 0.464724i
\(652\) 17.7480 + 4.19896i 0.695066 + 0.164444i
\(653\) 0.586406 3.89055i 0.0229478 0.152249i −0.974422 0.224724i \(-0.927852\pi\)
0.997370 + 0.0724755i \(0.0230899\pi\)
\(654\) −18.5276 + 12.5248i −0.724488 + 0.489758i
\(655\) −2.37682 + 4.11678i −0.0928702 + 0.160856i
\(656\) −6.81776 12.2527i −0.266189 0.478387i
\(657\) 24.0498 + 11.5818i 0.938272 + 0.451848i
\(658\) −2.81076 + 8.30119i −0.109575 + 0.323614i
\(659\) −13.8714 28.8042i −0.540353 1.12205i −0.975154 0.221528i \(-0.928896\pi\)
0.434801 0.900526i \(-0.356819\pi\)
\(660\) 16.0246 23.1085i 0.623755 0.899498i
\(661\) 11.7050 12.6150i 0.455274 0.490668i −0.463143 0.886284i \(-0.653278\pi\)
0.918416 + 0.395616i \(0.129469\pi\)
\(662\) 21.1992 22.6667i 0.823930 0.880966i
\(663\) −1.18922 0.810800i −0.0461857 0.0314889i
\(664\) −4.34021 9.29324i −0.168433 0.360648i
\(665\) −38.3431 3.77445i −1.48688 0.146367i
\(666\) −3.64961 + 7.50238i −0.141420 + 0.290711i
\(667\) −31.3882 + 18.1220i −1.21536 + 0.701686i
\(668\) −18.2801 + 31.0910i −0.707279 + 1.20295i
\(669\) 5.16099 + 7.56978i 0.199535 + 0.292665i
\(670\) 53.0007 + 8.20326i 2.04760 + 0.316919i
\(671\) −7.90157 + 34.6191i −0.305037 + 1.33645i
\(672\) 7.76898 + 14.9052i 0.299695 + 0.574979i
\(673\) −4.38174 19.1976i −0.168904 0.740015i −0.986438 0.164135i \(-0.947517\pi\)
0.817534 0.575880i \(-0.195340\pi\)
\(674\) 1.78370 + 25.1366i 0.0687055 + 0.968224i
\(675\) 4.86951 15.7866i 0.187428 0.607625i
\(676\) 7.78426 + 20.3052i 0.299395 + 0.780968i
\(677\) −5.34982 17.3437i −0.205610 0.666572i −0.998372 0.0570403i \(-0.981834\pi\)
0.792762 0.609532i \(-0.208643\pi\)
\(678\) −3.18759 + 2.52144i −0.122419 + 0.0968354i
\(679\) −23.7025 5.99477i −0.909618 0.230058i
\(680\) 5.47940 + 4.47714i 0.210125 + 0.171691i
\(681\) 4.48455 11.4264i 0.171848 0.437862i
\(682\) −42.4812 3.35267i −1.62669 0.128380i
\(683\) 1.65864 + 11.0043i 0.0634660 + 0.421069i 0.997891 + 0.0649097i \(0.0206759\pi\)
−0.934425 + 0.356159i \(0.884086\pi\)
\(684\) 11.9957 + 13.1353i 0.458667 + 0.502242i
\(685\) 16.4712i 0.629333i
\(686\) 26.1916 0.0228669i 1.00000 0.000873063i
\(687\) 11.6925 0.446095
\(688\) 22.5884 + 25.1311i 0.861177 + 0.958114i
\(689\) 15.6111 2.35300i 0.594737 0.0896421i
\(690\) −2.14086 + 27.1265i −0.0815012 + 1.03269i
\(691\) 35.3338 + 13.8675i 1.34416 + 0.527544i 0.924862 0.380304i \(-0.124181\pi\)
0.419299 + 0.907848i \(0.362276\pi\)
\(692\) 4.75429 + 3.85339i 0.180731 + 0.146484i
\(693\) −4.96068 + 19.6139i −0.188441 + 0.745069i
\(694\) −13.5125 + 10.6886i −0.512928 + 0.405736i
\(695\) −33.4566 + 10.3200i −1.26908 + 0.391460i
\(696\) 6.77700 + 17.8893i 0.256881 + 0.678091i
\(697\) −2.94366 0.907999i −0.111499 0.0343929i
\(698\) 5.66681 0.402118i 0.214492 0.0152204i
\(699\) 4.36076 0.995314i 0.164939 0.0376462i
\(700\) 14.4751 7.76479i 0.547109 0.293481i
\(701\) −3.01306 0.687710i −0.113802 0.0259745i 0.165241 0.986253i \(-0.447160\pi\)
−0.279042 + 0.960279i \(0.590017\pi\)
\(702\) 10.8471 + 1.67888i 0.409399 + 0.0633653i
\(703\) 14.3401 9.77690i 0.540846 0.368743i
\(704\) −30.0430 18.3101i −1.13229 0.690087i
\(705\) 3.74432 + 6.48536i 0.141019 + 0.244253i
\(706\) 13.1496 + 6.39677i 0.494893 + 0.240746i
\(707\) −1.04999 + 10.6664i −0.0394889 + 0.401152i
\(708\) −21.9399 + 10.3525i −0.824551 + 0.389072i
\(709\) −2.76308 + 4.05269i −0.103770 + 0.152202i −0.874611 0.484825i \(-0.838883\pi\)
0.770842 + 0.637027i \(0.219836\pi\)
\(710\) 4.45695 4.76548i 0.167266 0.178845i
\(711\) −13.4083 12.4411i −0.502851 0.466577i
\(712\) −12.9804 9.07750i −0.486459 0.340194i
\(713\) 37.1507 17.8908i 1.39130 0.670016i
\(714\) 3.49766 + 1.18430i 0.130897 + 0.0443212i
\(715\) 7.92226 16.4507i 0.296276 0.615223i
\(716\) −9.59962 + 5.44148i −0.358755 + 0.203357i
\(717\) −0.894810 0.516619i −0.0334173 0.0192935i
\(718\) −3.88078 + 2.62343i −0.144829 + 0.0979055i
\(719\) −35.4475 5.34284i −1.32197 0.199254i −0.550132 0.835078i \(-0.685423\pi\)
−0.771835 + 0.635823i \(0.780661\pi\)
\(720\) −19.2309 4.71085i −0.716692 0.175563i
\(721\) 16.3252 22.7843i 0.607982 0.848532i
\(722\) −2.21621 9.89013i −0.0824787 0.368073i
\(723\) 26.8626 2.01307i 0.999030 0.0748670i
\(724\) 13.3950 42.2354i 0.497820 1.56967i
\(725\) 17.4027 6.83006i 0.646320 0.253662i
\(726\) 3.85475 + 12.6747i 0.143063 + 0.470403i
\(727\) 23.6345 + 29.6367i 0.876554 + 1.09916i 0.994353 + 0.106127i \(0.0338449\pi\)
−0.117798 + 0.993038i \(0.537584\pi\)
\(728\) 6.50007 + 8.76681i 0.240909 + 0.324920i
\(729\) −12.0038 + 15.0523i −0.444586 + 0.557494i
\(730\) 57.4446 + 22.8082i 2.12612 + 0.844168i
\(731\) 7.40290 + 0.554770i 0.273806 + 0.0205189i
\(732\) −17.9539 + 2.56092i −0.663594 + 0.0946543i
\(733\) 22.9480 + 24.7321i 0.847605 + 0.913501i 0.997165 0.0752518i \(-0.0239761\pi\)
−0.149560 + 0.988753i \(0.547786\pi\)
\(734\) 3.94081 + 0.0155988i 0.145458 + 0.000575762i
\(735\) 14.7543 16.8276i 0.544220 0.620694i
\(736\) 34.0376 + 0.673735i 1.25464 + 0.0248342i
\(737\) −42.9465 + 39.8485i −1.58195 + 1.46784i
\(738\) 8.52849 1.25096i 0.313938 0.0460484i
\(739\) −4.67165 0.350092i −0.171849 0.0128783i −0.0114725 0.999934i \(-0.503652\pi\)
−0.160377 + 0.987056i \(0.551271\pi\)
\(740\) −7.19971 + 17.9260i −0.264667 + 0.658972i
\(741\) −6.55038 5.22375i −0.240634 0.191899i
\(742\) −36.9588 + 16.5721i −1.35680 + 0.608382i
\(743\) −19.4230 24.3556i −0.712559 0.893521i 0.285332 0.958429i \(-0.407896\pi\)
−0.997891 + 0.0649078i \(0.979325\pi\)
\(744\) −6.16758 20.8716i −0.226114 0.765189i
\(745\) −7.75943 19.7707i −0.284283 0.724342i
\(746\) 2.82948 9.04568i 0.103595 0.331186i
\(747\) 6.28762 0.471192i 0.230052 0.0172400i
\(748\) −7.54911 + 1.66027i −0.276023 + 0.0607056i
\(749\) −1.38603 26.9014i −0.0506444 0.982956i
\(750\) −1.94037 + 8.34885i −0.0708523 + 0.304857i
\(751\) −2.43570 0.367123i −0.0888800 0.0133965i 0.104452 0.994530i \(-0.466691\pi\)
−0.193332 + 0.981133i \(0.561929\pi\)
\(752\) 7.82383 5.15467i 0.285306 0.187971i
\(753\) 3.26295 5.65160i 0.118909 0.205956i
\(754\) 6.16790 + 10.7814i 0.224622 + 0.392637i
\(755\) 0.331847 0.689088i 0.0120772 0.0250785i
\(756\) −27.9637 + 3.32533i −1.01703 + 0.120941i
\(757\) 0.868005 + 1.80243i 0.0315482 + 0.0655105i 0.916147 0.400842i \(-0.131282\pi\)
−0.884599 + 0.466352i \(0.845568\pi\)
\(758\) −4.02442 + 5.85283i −0.146173 + 0.212584i
\(759\) −21.7895 20.2177i −0.790909 0.733856i
\(760\) 29.8586 + 28.3719i 1.08309 + 1.02916i
\(761\) 0.198482 + 0.135323i 0.00719496 + 0.00490544i 0.566912 0.823778i \(-0.308138\pi\)
−0.559717 + 0.828684i \(0.689090\pi\)
\(762\) −12.5174 26.2580i −0.453458 0.951228i
\(763\) 19.3747 31.8203i 0.701410 1.15197i
\(764\) −13.1424 6.45772i −0.475476 0.233632i
\(765\) −3.76708 + 2.17492i −0.136199 + 0.0786345i
\(766\) −6.80611 + 11.6815i −0.245915 + 0.422070i
\(767\) −13.0148 + 8.87331i −0.469935 + 0.320397i
\(768\) 3.23934 17.6745i 0.116889 0.637773i
\(769\) 3.30123 14.4636i 0.119045 0.521571i −0.879879 0.475198i \(-0.842376\pi\)
0.998924 0.0463735i \(-0.0147664\pi\)
\(770\) −8.24284 + 46.1141i −0.297051 + 1.66184i
\(771\) −13.8422 + 3.15940i −0.498515 + 0.113783i
\(772\) −2.43622 36.3705i −0.0876814 1.30900i