Properties

Label 483.2.y.a.163.4
Level $483$
Weight $2$
Character 483.163
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 163.4
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.a.403.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.59365 + 0.821585i) q^{2} +(0.786053 - 0.618159i) q^{3} +(0.704613 - 0.989491i) q^{4} +(-2.75786 + 2.62961i) q^{5} +(-0.744826 + 1.63094i) q^{6} +(1.28151 - 2.31468i) q^{7} +(0.200374 - 1.39363i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(-1.59365 + 0.821585i) q^{2} +(0.786053 - 0.618159i) q^{3} +(0.704613 - 0.989491i) q^{4} +(-2.75786 + 2.62961i) q^{5} +(-0.744826 + 1.63094i) q^{6} +(1.28151 - 2.31468i) q^{7} +(0.200374 - 1.39363i) q^{8} +(0.235759 - 0.971812i) q^{9} +(2.23462 - 6.45650i) q^{10} +(2.74064 + 1.41290i) q^{11} +(-0.0577993 - 1.21336i) q^{12} +(3.50975 + 4.05047i) q^{13} +(-0.140577 + 4.74166i) q^{14} +(-0.542304 + 3.77181i) q^{15} +(1.62026 + 4.68143i) q^{16} +(-4.57622 + 0.436976i) q^{17} +(0.422708 + 1.74243i) q^{18} +(-2.44272 - 0.233251i) q^{19} +(0.658754 + 4.58173i) q^{20} +(-0.423504 - 2.61164i) q^{21} -5.52844 q^{22} +(0.0120486 + 4.79582i) q^{23} +(-0.703980 - 1.21933i) q^{24} +(0.453010 - 9.50984i) q^{25} +(-8.92113 - 3.57148i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(-1.38738 - 2.89900i) q^{28} +(-2.52742 + 5.53428i) q^{29} +(-2.23462 - 6.45650i) q^{30} +(-7.11480 + 2.84834i) q^{31} +(-4.39035 - 4.18619i) q^{32} +(3.02768 - 0.583538i) q^{33} +(6.93389 - 4.45614i) q^{34} +(2.55248 + 9.75342i) q^{35} +(-0.795480 - 0.918033i) q^{36} +(-1.38229 + 5.69789i) q^{37} +(4.08448 - 1.63518i) q^{38} +(5.26268 + 1.01430i) q^{39} +(3.11210 + 4.37034i) q^{40} +(-1.60565 - 0.471460i) q^{41} +(2.82060 + 3.81410i) q^{42} +(0.888338 + 6.17852i) q^{43} +(3.32914 - 1.71629i) q^{44} +(1.90530 + 3.30007i) q^{45} +(-3.95937 - 7.63297i) q^{46} +(4.89353 - 8.47585i) q^{47} +(4.16748 + 2.67828i) q^{48} +(-3.71547 - 5.93256i) q^{49} +(7.09121 + 15.5276i) q^{50} +(-3.32703 + 3.17232i) q^{51} +(6.48092 - 0.618853i) q^{52} +(5.32588 + 1.02648i) q^{53} +(1.40937 + 1.10834i) q^{54} +(-11.2736 + 3.31024i) q^{55} +(-2.96902 - 2.24975i) q^{56} +(-2.06429 + 1.32664i) q^{57} +(-0.519050 - 10.8962i) q^{58} +(-3.12905 + 9.04078i) q^{59} +(3.35006 + 3.19427i) q^{60} +(-4.22019 - 3.31880i) q^{61} +(8.99837 - 10.3847i) q^{62} +(-1.94730 - 1.79109i) q^{63} +(0.929549 + 0.272940i) q^{64} +(-20.3305 - 1.94133i) q^{65} +(-4.34565 + 3.41745i) q^{66} +(-0.774829 + 16.2657i) q^{67} +(-2.79208 + 4.83603i) q^{68} +(2.97405 + 3.76232i) q^{69} +(-12.0810 - 13.4465i) q^{70} +(8.02764 + 5.15905i) q^{71} +(-1.30711 - 0.523286i) q^{72} +(5.11865 - 7.18814i) q^{73} +(-2.47841 - 10.2161i) q^{74} +(-5.52251 - 7.75527i) q^{75} +(-1.95197 + 2.25270i) q^{76} +(6.78255 - 4.53305i) q^{77} +(-9.22023 + 2.70730i) q^{78} +(4.19620 - 0.808752i) q^{79} +(-16.7788 - 8.65006i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(2.94619 - 0.567831i) q^{82} +(-4.43446 + 1.30208i) q^{83} +(-2.88260 - 1.42114i) q^{84} +(11.4715 - 13.2388i) q^{85} +(-6.49188 - 9.11658i) q^{86} +(1.43438 + 5.91258i) q^{87} +(2.51821 - 3.53632i) q^{88} +(2.94255 + 1.17802i) q^{89} +(-5.74767 - 3.69380i) q^{90} +(13.8733 - 2.93323i) q^{91} +(4.75391 + 3.36727i) q^{92} +(-3.83189 + 6.63702i) q^{93} +(-0.834962 + 17.5280i) q^{94} +(7.35003 - 5.78013i) q^{95} +(-6.03877 - 0.576633i) q^{96} +(-1.13554 - 0.333426i) q^{97} +(10.7953 + 6.40188i) q^{98} +(2.01920 - 2.33028i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.59365 + 0.821585i −1.12688 + 0.580948i −0.917837 0.396957i \(-0.870066\pi\)
−0.209046 + 0.977906i \(0.567036\pi\)
\(3\) 0.786053 0.618159i 0.453828 0.356894i
\(4\) 0.704613 0.989491i 0.352307 0.494746i
\(5\) −2.75786 + 2.62961i −1.23335 + 1.17600i −0.255474 + 0.966816i \(0.582232\pi\)
−0.977877 + 0.209182i \(0.932920\pi\)
\(6\) −0.744826 + 1.63094i −0.304074 + 0.665829i
\(7\) 1.28151 2.31468i 0.484365 0.874866i
\(8\) 0.200374 1.39363i 0.0708428 0.492722i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) 2.23462 6.45650i 0.706648 2.04172i
\(11\) 2.74064 + 1.41290i 0.826333 + 0.426004i 0.818878 0.573968i \(-0.194597\pi\)
0.00745518 + 0.999972i \(0.497627\pi\)
\(12\) −0.0577993 1.21336i −0.0166852 0.350266i
\(13\) 3.50975 + 4.05047i 0.973430 + 1.12340i 0.992335 + 0.123577i \(0.0394365\pi\)
−0.0189052 + 0.999821i \(0.506018\pi\)
\(14\) −0.140577 + 4.74166i −0.0375707 + 1.26726i
\(15\) −0.542304 + 3.77181i −0.140022 + 0.973877i
\(16\) 1.62026 + 4.68143i 0.405065 + 1.17036i
\(17\) −4.57622 + 0.436976i −1.10990 + 0.105982i −0.633863 0.773445i \(-0.718532\pi\)
−0.476033 + 0.879428i \(0.657926\pi\)
\(18\) 0.422708 + 1.74243i 0.0996332 + 0.410694i
\(19\) −2.44272 0.233251i −0.560398 0.0535115i −0.188986 0.981980i \(-0.560520\pi\)
−0.371412 + 0.928468i \(0.621126\pi\)
\(20\) 0.658754 + 4.58173i 0.147302 + 1.02451i
\(21\) −0.423504 2.61164i −0.0924162 0.569906i
\(22\) −5.52844 −1.17867
\(23\) 0.0120486 + 4.79582i 0.00251231 + 0.999997i
\(24\) −0.703980 1.21933i −0.143699 0.248895i
\(25\) 0.453010 9.50984i 0.0906019 1.90197i
\(26\) −8.92113 3.57148i −1.74958 0.700425i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) −1.38738 2.89900i −0.262191 0.547859i
\(29\) −2.52742 + 5.53428i −0.469330 + 1.02769i 0.515931 + 0.856630i \(0.327446\pi\)
−0.985261 + 0.171059i \(0.945281\pi\)
\(30\) −2.23462 6.45650i −0.407983 1.17879i
\(31\) −7.11480 + 2.84834i −1.27786 + 0.511576i −0.908567 0.417738i \(-0.862823\pi\)
−0.369289 + 0.929315i \(0.620399\pi\)
\(32\) −4.39035 4.18619i −0.776111 0.740020i
\(33\) 3.02768 0.583538i 0.527051 0.101581i
\(34\) 6.93389 4.45614i 1.18915 0.764222i
\(35\) 2.55248 + 9.75342i 0.431448 + 1.64863i
\(36\) −0.795480 0.918033i −0.132580 0.153005i
\(37\) −1.38229 + 5.69789i −0.227248 + 0.936728i 0.737877 + 0.674936i \(0.235829\pi\)
−0.965124 + 0.261792i \(0.915686\pi\)
\(38\) 4.08448 1.63518i 0.662591 0.265261i
\(39\) 5.26268 + 1.01430i 0.842704 + 0.162418i
\(40\) 3.11210 + 4.37034i 0.492067 + 0.691011i
\(41\) −1.60565 0.471460i −0.250760 0.0736297i 0.153937 0.988081i \(-0.450805\pi\)
−0.404697 + 0.914451i \(0.632623\pi\)
\(42\) 2.82060 + 3.81410i 0.435228 + 0.588528i
\(43\) 0.888338 + 6.17852i 0.135470 + 0.942216i 0.938254 + 0.345946i \(0.112442\pi\)
−0.802784 + 0.596270i \(0.796649\pi\)
\(44\) 3.32914 1.71629i 0.501886 0.258740i
\(45\) 1.90530 + 3.30007i 0.284025 + 0.491946i
\(46\) −3.95937 7.63297i −0.583778 1.12542i
\(47\) 4.89353 8.47585i 0.713795 1.23633i −0.249627 0.968342i \(-0.580308\pi\)
0.963422 0.267988i \(-0.0863586\pi\)
\(48\) 4.16748 + 2.67828i 0.601524 + 0.386576i
\(49\) −3.71547 5.93256i −0.530781 0.847509i
\(50\) 7.09121 + 15.5276i 1.00285 + 2.19593i
\(51\) −3.32703 + 3.17232i −0.465877 + 0.444213i
\(52\) 6.48092 0.618853i 0.898742 0.0858195i
\(53\) 5.32588 + 1.02648i 0.731566 + 0.140998i 0.541413 0.840757i \(-0.317890\pi\)
0.190153 + 0.981755i \(0.439102\pi\)
\(54\) 1.40937 + 1.10834i 0.191791 + 0.150826i
\(55\) −11.2736 + 3.31024i −1.52014 + 0.446353i
\(56\) −2.96902 2.24975i −0.396752 0.300636i
\(57\) −2.06429 + 1.32664i −0.273422 + 0.175718i
\(58\) −0.519050 10.8962i −0.0681546 1.43074i
\(59\) −3.12905 + 9.04078i −0.407367 + 1.17701i 0.535700 + 0.844408i \(0.320048\pi\)
−0.943067 + 0.332602i \(0.892074\pi\)
\(60\) 3.35006 + 3.19427i 0.432490 + 0.412379i
\(61\) −4.22019 3.31880i −0.540340 0.424928i 0.310329 0.950629i \(-0.399561\pi\)
−0.850670 + 0.525701i \(0.823803\pi\)
\(62\) 8.99837 10.3847i 1.14279 1.31885i
\(63\) −1.94730 1.79109i −0.245337 0.225656i
\(64\) 0.929549 + 0.272940i 0.116194 + 0.0341175i
\(65\) −20.3305 1.94133i −2.52169 0.240793i
\(66\) −4.34565 + 3.41745i −0.534912 + 0.420659i
\(67\) −0.774829 + 16.2657i −0.0946604 + 1.98717i 0.0552767 + 0.998471i \(0.482396\pi\)
−0.149937 + 0.988696i \(0.547907\pi\)
\(68\) −2.79208 + 4.83603i −0.338589 + 0.586454i
\(69\) 2.97405 + 3.76232i 0.358033 + 0.452930i
\(70\) −12.0810 13.4465i −1.44396 1.60716i
\(71\) 8.02764 + 5.15905i 0.952705 + 0.612267i 0.921970 0.387261i \(-0.126579\pi\)
0.0307353 + 0.999528i \(0.490215\pi\)
\(72\) −1.30711 0.523286i −0.154044 0.0616699i
\(73\) 5.11865 7.18814i 0.599093 0.841308i −0.398010 0.917381i \(-0.630299\pi\)
0.997102 + 0.0760733i \(0.0242383\pi\)
\(74\) −2.47841 10.2161i −0.288109 1.18760i
\(75\) −5.52251 7.75527i −0.637684 0.895502i
\(76\) −1.95197 + 2.25270i −0.223907 + 0.258402i
\(77\) 6.78255 4.53305i 0.772943 0.516589i
\(78\) −9.22023 + 2.70730i −1.04398 + 0.306542i
\(79\) 4.19620 0.808752i 0.472110 0.0909917i 0.0523537 0.998629i \(-0.483328\pi\)
0.419756 + 0.907637i \(0.362116\pi\)
\(80\) −16.7788 8.65006i −1.87592 0.967107i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) 2.94619 0.567831i 0.325352 0.0627064i
\(83\) −4.43446 + 1.30208i −0.486745 + 0.142921i −0.515892 0.856654i \(-0.672539\pi\)
0.0291463 + 0.999575i \(0.490721\pi\)
\(84\) −2.88260 1.42114i −0.314517 0.155059i
\(85\) 11.4715 13.2388i 1.24426 1.43595i
\(86\) −6.49188 9.11658i −0.700038 0.983066i
\(87\) 1.43438 + 5.91258i 0.153781 + 0.633895i
\(88\) 2.51821 3.53632i 0.268442 0.376973i
\(89\) 2.94255 + 1.17802i 0.311910 + 0.124870i 0.522336 0.852740i \(-0.325061\pi\)
−0.210426 + 0.977610i \(0.567485\pi\)
\(90\) −5.74767 3.69380i −0.605858 0.389361i
\(91\) 13.8733 2.93323i 1.45432 0.307486i
\(92\) 4.75391 + 3.36727i 0.495629 + 0.351063i
\(93\) −3.83189 + 6.63702i −0.397348 + 0.688227i
\(94\) −0.834962 + 17.5280i −0.0861198 + 1.80788i
\(95\) 7.35003 5.78013i 0.754097 0.593029i
\(96\) −6.03877 0.576633i −0.616330 0.0588524i
\(97\) −1.13554 0.333426i −0.115297 0.0338542i 0.223575 0.974687i \(-0.428227\pi\)
−0.338872 + 0.940832i \(0.610045\pi\)
\(98\) 10.7953 + 6.40188i 1.09049 + 0.646687i
\(99\) 2.01920 2.33028i 0.202937 0.234202i
\(100\) −9.09071 7.14901i −0.909071 0.714901i
\(101\) 0.765108 + 0.729529i 0.0761311 + 0.0725908i 0.727189 0.686437i \(-0.240826\pi\)
−0.651058 + 0.759028i \(0.725675\pi\)
\(102\) 2.69580 7.78901i 0.266924 0.771227i
\(103\) 0.860560 + 18.0654i 0.0847935 + 1.78004i 0.495833 + 0.868418i \(0.334863\pi\)
−0.411040 + 0.911617i \(0.634834\pi\)
\(104\) 6.34812 4.07969i 0.622484 0.400046i
\(105\) 8.03555 + 6.08887i 0.784190 + 0.594213i
\(106\) −9.33094 + 2.73981i −0.906301 + 0.266114i
\(107\) −0.660972 0.519794i −0.0638986 0.0502504i 0.585699 0.810529i \(-0.300820\pi\)
−0.649597 + 0.760278i \(0.725063\pi\)
\(108\) −1.19278 0.229889i −0.114775 0.0221211i
\(109\) 16.0138 1.52913i 1.53384 0.146464i 0.706318 0.707894i \(-0.250355\pi\)
0.827524 + 0.561430i \(0.189749\pi\)
\(110\) 15.2466 14.5376i 1.45371 1.38611i
\(111\) 2.43565 + 5.33332i 0.231181 + 0.506217i
\(112\) 12.9124 + 2.24892i 1.22011 + 0.212503i
\(113\) −3.01069 1.93485i −0.283222 0.182016i 0.391315 0.920257i \(-0.372020\pi\)
−0.674537 + 0.738241i \(0.735657\pi\)
\(114\) 2.19982 3.81020i 0.206032 0.356858i
\(115\) −12.6444 13.1945i −1.17909 1.23039i
\(116\) 3.69526 + 6.40038i 0.343097 + 0.594261i
\(117\) 4.76375 2.45588i 0.440409 0.227046i
\(118\) −2.44116 16.9786i −0.224727 1.56301i
\(119\) −4.85301 + 11.1525i −0.444875 + 1.02234i
\(120\) 5.14784 + 1.51154i 0.469931 + 0.137984i
\(121\) −0.865815 1.21587i −0.0787104 0.110533i
\(122\) 9.45220 + 1.82176i 0.855762 + 0.164935i
\(123\) −1.55356 + 0.621952i −0.140080 + 0.0560795i
\(124\) −2.19478 + 9.04701i −0.197097 + 0.812445i
\(125\) 11.2808 + 13.0188i 1.00899 + 1.16443i
\(126\) 4.57486 + 1.25450i 0.407561 + 0.111760i
\(127\) 6.43752 4.13715i 0.571238 0.367112i −0.222908 0.974839i \(-0.571555\pi\)
0.794146 + 0.607727i \(0.207919\pi\)
\(128\) 10.2076 1.96736i 0.902234 0.173891i
\(129\) 4.51759 + 4.30751i 0.397752 + 0.379255i
\(130\) 33.9948 13.6095i 2.98154 1.19363i
\(131\) −1.08105 3.12349i −0.0944517 0.272900i 0.887872 0.460091i \(-0.152183\pi\)
−0.982324 + 0.187190i \(0.940062\pi\)
\(132\) 1.55594 3.40703i 0.135427 0.296544i
\(133\) −3.67027 + 5.35519i −0.318253 + 0.464354i
\(134\) −12.1288 26.5584i −1.04777 2.29430i
\(135\) 3.53763 + 1.41625i 0.304471 + 0.121892i
\(136\) −0.307971 + 6.46511i −0.0264083 + 0.554379i
\(137\) −5.15694 8.93209i −0.440587 0.763120i 0.557146 0.830415i \(-0.311896\pi\)
−0.997733 + 0.0672950i \(0.978563\pi\)
\(138\) −7.83066 3.55240i −0.666590 0.302400i
\(139\) −2.98890 −0.253515 −0.126757 0.991934i \(-0.540457\pi\)
−0.126757 + 0.991934i \(0.540457\pi\)
\(140\) 11.4494 + 4.34673i 0.967654 + 0.367366i
\(141\) −1.39284 9.68745i −0.117299 0.815830i
\(142\) −17.0319 1.62635i −1.42928 0.136480i
\(143\) 3.89606 + 16.0598i 0.325805 + 1.34299i
\(144\) 4.93146 0.470897i 0.410955 0.0392414i
\(145\) −7.58273 21.9089i −0.629712 1.81943i
\(146\) −2.25168 + 15.6608i −0.186351 + 1.29610i
\(147\) −6.58782 2.36656i −0.543354 0.195191i
\(148\) 4.66403 + 5.38258i 0.383381 + 0.442445i
\(149\) −0.699900 14.6927i −0.0573380 1.20367i −0.825870 0.563861i \(-0.809315\pi\)
0.768532 0.639812i \(-0.220988\pi\)
\(150\) 15.1726 + 7.82201i 1.23884 + 0.638664i
\(151\) 3.35208 9.68519i 0.272788 0.788170i −0.722514 0.691356i \(-0.757014\pi\)
0.995303 0.0968138i \(-0.0308651\pi\)
\(152\) −0.814523 + 3.35751i −0.0660665 + 0.272330i
\(153\) −0.654226 + 4.55024i −0.0528910 + 0.367865i
\(154\) −7.08475 + 12.7966i −0.570905 + 1.03118i
\(155\) 12.1316 26.5645i 0.974432 2.13371i
\(156\) 4.71180 4.49269i 0.377246 0.359703i
\(157\) −2.67548 + 3.75719i −0.213527 + 0.299856i −0.907423 0.420219i \(-0.861953\pi\)
0.693896 + 0.720075i \(0.255893\pi\)
\(158\) −6.02283 + 4.73641i −0.479151 + 0.376809i
\(159\) 4.82095 2.48537i 0.382326 0.197103i
\(160\) 23.1160 1.82748
\(161\) 11.1162 + 6.11800i 0.876080 + 0.482166i
\(162\) 1.79297 0.140869
\(163\) 5.26237 2.71294i 0.412181 0.212494i −0.239648 0.970860i \(-0.577032\pi\)
0.651829 + 0.758366i \(0.274002\pi\)
\(164\) −1.59787 + 1.25658i −0.124772 + 0.0981220i
\(165\) −6.81543 + 9.57093i −0.530581 + 0.745096i
\(166\) 5.99723 5.71834i 0.465475 0.443830i
\(167\) 9.28996 20.3422i 0.718878 1.57412i −0.0965913 0.995324i \(-0.530794\pi\)
0.815470 0.578800i \(-0.196479\pi\)
\(168\) −3.72451 + 0.0669048i −0.287352 + 0.00516182i
\(169\) −2.23785 + 15.5646i −0.172142 + 1.19728i
\(170\) −7.40476 + 30.5228i −0.567919 + 2.34099i
\(171\) −0.802569 + 2.31887i −0.0613740 + 0.177329i
\(172\) 6.73953 + 3.47447i 0.513884 + 0.264926i
\(173\) 0.694616 + 14.5818i 0.0528106 + 1.10863i 0.857350 + 0.514733i \(0.172109\pi\)
−0.804540 + 0.593899i \(0.797588\pi\)
\(174\) −7.14359 8.24414i −0.541554 0.624987i
\(175\) −21.4317 13.2355i −1.62008 1.00051i
\(176\) −2.17384 + 15.1194i −0.163859 + 1.13966i
\(177\) 3.12905 + 9.04078i 0.235193 + 0.679547i
\(178\) −5.65724 + 0.540201i −0.424028 + 0.0404898i
\(179\) −4.56456 18.8154i −0.341171 1.40633i −0.841391 0.540427i \(-0.818263\pi\)
0.500220 0.865898i \(-0.333252\pi\)
\(180\) 4.60789 + 0.440000i 0.343452 + 0.0327957i
\(181\) 0.407499 + 2.83422i 0.0302891 + 0.210666i 0.999346 0.0361739i \(-0.0115170\pi\)
−0.969056 + 0.246840i \(0.920608\pi\)
\(182\) −19.6993 + 16.0727i −1.46021 + 1.19138i
\(183\) −5.36884 −0.396876
\(184\) 6.68601 + 0.944164i 0.492899 + 0.0696047i
\(185\) −11.1711 19.3489i −0.821314 1.42256i
\(186\) 0.653818 13.7253i 0.0479403 1.00639i
\(187\) −13.1591 5.26813i −0.962292 0.385244i
\(188\) −4.93873 10.8143i −0.360194 0.788714i
\(189\) −2.63786 0.204150i −0.191876 0.0148498i
\(190\) −6.96453 + 15.2502i −0.505260 + 1.10637i
\(191\) −2.56634 7.41495i −0.185694 0.536527i 0.813277 0.581876i \(-0.197681\pi\)
−0.998971 + 0.0453492i \(0.985560\pi\)
\(192\) 0.899396 0.360064i 0.0649083 0.0259854i
\(193\) 14.1959 + 13.5358i 1.02184 + 0.974327i 0.999677 0.0254277i \(-0.00809475\pi\)
0.0221677 + 0.999754i \(0.492943\pi\)
\(194\) 2.08360 0.401581i 0.149594 0.0288318i
\(195\) −17.1809 + 11.0415i −1.23035 + 0.790700i
\(196\) −8.48819 0.503744i −0.606299 0.0359817i
\(197\) −6.39528 7.38055i −0.455645 0.525842i 0.480718 0.876875i \(-0.340376\pi\)
−0.936363 + 0.351033i \(0.885830\pi\)
\(198\) −1.30338 + 5.37260i −0.0926271 + 0.381814i
\(199\) −17.1527 + 6.86691i −1.21592 + 0.486783i −0.888842 0.458213i \(-0.848490\pi\)
−0.327082 + 0.944996i \(0.606065\pi\)
\(200\) −13.1624 2.53685i −0.930724 0.179382i
\(201\) 9.44571 + 13.2646i 0.666249 + 0.935616i
\(202\) −1.81869 0.534015i −0.127962 0.0375731i
\(203\) 9.57115 + 12.9424i 0.671763 + 0.908378i
\(204\) 0.794709 + 5.52732i 0.0556408 + 0.386990i
\(205\) 5.66790 2.92200i 0.395863 0.204082i
\(206\) −16.2137 28.0829i −1.12966 1.95663i
\(207\) 4.66347 + 1.11895i 0.324134 + 0.0777722i
\(208\) −13.2753 + 22.9935i −0.920475 + 1.59431i
\(209\) −6.36504 4.09057i −0.440279 0.282950i
\(210\) −17.8084 3.10165i −1.22890 0.214034i
\(211\) −0.259082 0.567311i −0.0178360 0.0390553i 0.900504 0.434847i \(-0.143198\pi\)
−0.918340 + 0.395792i \(0.870470\pi\)
\(212\) 4.76838 4.54664i 0.327493 0.312264i
\(213\) 9.49926 0.907070i 0.650879 0.0621514i
\(214\) 1.48041 + 0.285327i 0.101199 + 0.0195045i
\(215\) −18.6970 14.7035i −1.27513 1.00277i
\(216\) −1.35093 + 0.396668i −0.0919190 + 0.0269899i
\(217\) −2.52470 + 20.1186i −0.171388 + 1.36574i
\(218\) −24.2641 + 15.5936i −1.64337 + 1.05613i
\(219\) −0.419882 8.81440i −0.0283730 0.595622i
\(220\) −4.66811 + 13.4876i −0.314724 + 0.909335i
\(221\) −17.8313 17.0022i −1.19947 1.14369i
\(222\) −8.26336 6.49838i −0.554600 0.436142i
\(223\) −6.93865 + 8.00763i −0.464647 + 0.536231i −0.938915 0.344150i \(-0.888167\pi\)
0.474268 + 0.880380i \(0.342713\pi\)
\(224\) −15.3159 + 4.79760i −1.02334 + 0.320553i
\(225\) −9.13498 2.68227i −0.608998 0.178818i
\(226\) 6.38764 + 0.609945i 0.424899 + 0.0405730i
\(227\) −4.30708 + 3.38713i −0.285871 + 0.224812i −0.750789 0.660542i \(-0.770326\pi\)
0.464918 + 0.885354i \(0.346084\pi\)
\(228\) −0.141830 + 2.97737i −0.00939289 + 0.197181i
\(229\) 5.49000 9.50896i 0.362790 0.628370i −0.625629 0.780121i \(-0.715158\pi\)
0.988419 + 0.151751i \(0.0484910\pi\)
\(230\) 30.9911 + 10.6390i 2.04349 + 0.701516i
\(231\) 2.52930 7.75591i 0.166416 0.510302i
\(232\) 7.20630 + 4.63121i 0.473117 + 0.304054i
\(233\) 17.7574 + 7.10898i 1.16332 + 0.465725i 0.871331 0.490696i \(-0.163257\pi\)
0.291993 + 0.956421i \(0.405682\pi\)
\(234\) −5.57404 + 7.82765i −0.364387 + 0.511709i
\(235\) 8.79252 + 36.2433i 0.573561 + 2.36425i
\(236\) 6.74101 + 9.46642i 0.438802 + 0.616211i
\(237\) 2.79850 3.22964i 0.181782 0.209788i
\(238\) −1.42868 21.7603i −0.0926077 1.41051i
\(239\) 4.96563 1.45804i 0.321200 0.0943127i −0.117158 0.993113i \(-0.537378\pi\)
0.438358 + 0.898801i \(0.355560\pi\)
\(240\) −18.5361 + 3.57255i −1.19650 + 0.230607i
\(241\) −15.7780 8.13411i −1.01635 0.523964i −0.132226 0.991220i \(-0.542213\pi\)
−0.884122 + 0.467255i \(0.845243\pi\)
\(242\) 2.37875 + 1.22633i 0.152912 + 0.0788314i
\(243\) −0.981929 + 0.189251i −0.0629908 + 0.0121405i
\(244\) −6.25752 + 1.83737i −0.400597 + 0.117626i
\(245\) 25.8471 + 6.59093i 1.65131 + 0.421079i
\(246\) 1.96485 2.26756i 0.125274 0.144574i
\(247\) −7.62856 10.7128i −0.485394 0.681640i
\(248\) 2.54391 + 10.4861i 0.161538 + 0.665870i
\(249\) −2.68083 + 3.76470i −0.169891 + 0.238578i
\(250\) −28.6737 11.4792i −1.81348 0.726010i
\(251\) −0.440159 0.282873i −0.0277826 0.0178548i 0.526676 0.850066i \(-0.323438\pi\)
−0.554458 + 0.832211i \(0.687075\pi\)
\(252\) −3.14437 + 0.664812i −0.198076 + 0.0418792i
\(253\) −6.74297 + 13.1606i −0.423927 + 0.827401i
\(254\) −6.86016 + 11.8821i −0.430445 + 0.745552i
\(255\) 0.833513 17.4976i 0.0521966 1.09574i
\(256\) −16.1741 + 12.7194i −1.01088 + 0.794965i
\(257\) 22.8676 + 2.18359i 1.42644 + 0.136209i 0.779534 0.626360i \(-0.215456\pi\)
0.646907 + 0.762569i \(0.276062\pi\)
\(258\) −10.7385 3.15310i −0.668547 0.196303i
\(259\) 11.4174 + 10.5015i 0.709441 + 0.652530i
\(260\) −16.2461 + 18.7490i −1.00754 + 1.16276i
\(261\) 4.78241 + 3.76093i 0.296024 + 0.232796i
\(262\) 4.28903 + 4.08958i 0.264977 + 0.252655i
\(263\) −2.85206 + 8.24047i −0.175865 + 0.508129i −0.998140 0.0609612i \(-0.980583\pi\)
0.822275 + 0.569091i \(0.192705\pi\)
\(264\) −0.206568 4.33639i −0.0127134 0.266886i
\(265\) −17.3872 + 11.1741i −1.06809 + 0.686420i
\(266\) 1.44939 11.5498i 0.0888677 0.708161i
\(267\) 3.04120 0.892978i 0.186119 0.0546493i
\(268\) 15.5488 + 12.2277i 0.949792 + 0.746925i
\(269\) 6.11018 + 1.17764i 0.372544 + 0.0718021i 0.372087 0.928198i \(-0.378642\pi\)
0.000457387 1.00000i \(0.499854\pi\)
\(270\) −6.80133 + 0.649449i −0.413916 + 0.0395242i
\(271\) 17.3924 16.5836i 1.05651 1.00738i 0.0565520 0.998400i \(-0.481989\pi\)
0.999960 0.00898214i \(-0.00285914\pi\)
\(272\) −9.46033 20.7152i −0.573617 1.25605i
\(273\) 9.09196 10.8816i 0.550270 0.658583i
\(274\) 15.5568 + 9.99778i 0.939824 + 0.603988i
\(275\) 14.6780 25.4230i 0.885114 1.53306i
\(276\) 5.81833 0.291814i 0.350223 0.0175651i
\(277\) 7.53223 + 13.0462i 0.452568 + 0.783870i 0.998545 0.0539298i \(-0.0171747\pi\)
−0.545977 + 0.837800i \(0.683841\pi\)
\(278\) 4.76326 2.45563i 0.285681 0.147279i
\(279\) 1.09067 + 7.58577i 0.0652966 + 0.454148i
\(280\) 14.1041 1.60289i 0.842882 0.0957907i
\(281\) −20.5155 6.02391i −1.22385 0.359356i −0.394927 0.918712i \(-0.629230\pi\)
−0.828927 + 0.559356i \(0.811048\pi\)
\(282\) 10.1788 + 14.2941i 0.606137 + 0.851201i
\(283\) −8.17528 1.57566i −0.485970 0.0936631i −0.0596197 0.998221i \(-0.518989\pi\)
−0.426350 + 0.904558i \(0.640201\pi\)
\(284\) 10.7612 4.30814i 0.638561 0.255641i
\(285\) 2.20448 9.08697i 0.130582 0.538266i
\(286\) −19.4034 22.3928i −1.14735 1.32411i
\(287\) −3.14893 + 3.11237i −0.185875 + 0.183717i
\(288\) −5.10325 + 3.27966i −0.300712 + 0.193256i
\(289\) 4.05803 0.782121i 0.238708 0.0460071i
\(290\) 30.0843 + 28.6853i 1.76661 + 1.68446i
\(291\) −1.09871 + 0.439856i −0.0644073 + 0.0257848i
\(292\) −3.50593 10.1297i −0.205169 0.592797i
\(293\) 1.89401 4.14731i 0.110649 0.242288i −0.846204 0.532859i \(-0.821118\pi\)
0.956854 + 0.290570i \(0.0938450\pi\)
\(294\) 12.4430 1.64098i 0.725692 0.0957038i
\(295\) −15.1443 33.1614i −0.881734 1.93073i
\(296\) 7.66378 + 3.06811i 0.445448 + 0.178331i
\(297\) 0.146714 3.07991i 0.00851322 0.178714i
\(298\) 13.1867 + 22.8400i 0.763885 + 1.32309i
\(299\) −19.3830 + 16.8809i −1.12095 + 0.976249i
\(300\) −11.5650 −0.667706
\(301\) 15.4397 + 5.86162i 0.889930 + 0.337858i
\(302\) 2.61516 + 18.1889i 0.150486 + 1.04665i
\(303\) 1.05238 + 0.100490i 0.0604577 + 0.00577301i
\(304\) −2.86589 11.8133i −0.164370 0.677542i
\(305\) 20.3658 1.94470i 1.16614 0.111353i
\(306\) −2.69580 7.78901i −0.154109 0.445268i
\(307\) 0.962932 6.69734i 0.0549574 0.382237i −0.943716 0.330755i \(-0.892696\pi\)
0.998674 0.0514819i \(-0.0163944\pi\)
\(308\) 0.293664 9.90532i 0.0167331 0.564408i
\(309\) 11.8437 + 13.6684i 0.673766 + 0.777567i
\(310\) 2.49144 + 52.3017i 0.141504 + 2.97053i
\(311\) 0.536524 + 0.276597i 0.0304235 + 0.0156844i 0.473371 0.880863i \(-0.343037\pi\)
−0.442948 + 0.896547i \(0.646067\pi\)
\(312\) 2.46806 7.13099i 0.139726 0.403713i
\(313\) −1.46703 + 6.04718i −0.0829215 + 0.341807i −0.998127 0.0611811i \(-0.980513\pi\)
0.915205 + 0.402988i \(0.132028\pi\)
\(314\) 1.17694 8.18579i 0.0664185 0.461951i
\(315\) 10.0803 0.181075i 0.567958 0.0102024i
\(316\) 2.15645 4.72196i 0.121310 0.265631i
\(317\) −1.46948 + 1.40115i −0.0825344 + 0.0786964i −0.730224 0.683208i \(-0.760584\pi\)
0.647689 + 0.761905i \(0.275736\pi\)
\(318\) −5.64098 + 7.92164i −0.316330 + 0.444224i
\(319\) −14.7461 + 11.5965i −0.825623 + 0.649277i
\(320\) −3.28129 + 1.69162i −0.183430 + 0.0945646i
\(321\) −0.840874 −0.0469330
\(322\) −22.7418 0.617050i −1.26735 0.0343868i
\(323\) 11.2803 0.627655
\(324\) −1.07970 + 0.556622i −0.0599831 + 0.0309235i
\(325\) 40.1093 31.5423i 2.22486 1.74965i
\(326\) −6.15748 + 8.64697i −0.341031 + 0.478911i
\(327\) 11.6424 11.1010i 0.643828 0.613889i
\(328\) −0.978770 + 2.14321i −0.0540435 + 0.118339i
\(329\) −13.3477 22.1888i −0.735885 1.22331i
\(330\) 2.99809 20.8522i 0.165040 1.14788i
\(331\) 0.635727 2.62050i 0.0349427 0.144036i −0.951668 0.307129i \(-0.900632\pi\)
0.986611 + 0.163093i \(0.0521470\pi\)
\(332\) −1.83619 + 5.30532i −0.100774 + 0.291167i
\(333\) 5.21139 + 2.68666i 0.285582 + 0.147228i
\(334\) 1.90786 + 40.0508i 0.104393 + 2.19148i
\(335\) −40.6355 46.8959i −2.22015 2.56219i
\(336\) 11.5400 6.21413i 0.629559 0.339009i
\(337\) −2.99544 + 20.8337i −0.163172 + 1.13489i 0.729435 + 0.684050i \(0.239783\pi\)
−0.892607 + 0.450836i \(0.851126\pi\)
\(338\) −9.22128 26.6432i −0.501572 1.44920i
\(339\) −3.56261 + 0.340188i −0.193494 + 0.0184765i
\(340\) −5.01671 20.6792i −0.272069 1.12148i
\(341\) −23.5235 2.24622i −1.27387 0.121640i
\(342\) −0.626134 4.35486i −0.0338574 0.235484i
\(343\) −18.4934 + 0.997468i −0.998549 + 0.0538582i
\(344\) 8.78857 0.473848
\(345\) −18.0954 2.55535i −0.974225 0.137575i
\(346\) −13.0871 22.6676i −0.703569 1.21862i
\(347\) −0.441331 + 9.26469i −0.0236919 + 0.497354i 0.955571 + 0.294761i \(0.0952400\pi\)
−0.979263 + 0.202593i \(0.935063\pi\)
\(348\) 6.86113 + 2.74678i 0.367795 + 0.147243i
\(349\) 0.582273 + 1.27500i 0.0311683 + 0.0682491i 0.924576 0.380998i \(-0.124420\pi\)
−0.893408 + 0.449247i \(0.851692\pi\)
\(350\) 45.0288 + 3.48488i 2.40689 + 0.186275i
\(351\) 2.22643 4.87521i 0.118838 0.260219i
\(352\) −6.11769 17.6759i −0.326074 0.942130i
\(353\) 19.4986 7.80605i 1.03780 0.415474i 0.210716 0.977547i \(-0.432420\pi\)
0.827087 + 0.562073i \(0.189996\pi\)
\(354\) −12.4144 11.8371i −0.659817 0.629134i
\(355\) −35.7054 + 6.88165i −1.89504 + 0.365240i
\(356\) 3.23900 2.08158i 0.171667 0.110323i
\(357\) 3.07927 + 11.7664i 0.162972 + 0.622742i
\(358\) 22.7327 + 26.2350i 1.20146 + 1.38656i
\(359\) −5.86991 + 24.1961i −0.309802 + 1.27702i 0.577713 + 0.816240i \(0.303945\pi\)
−0.887514 + 0.460780i \(0.847570\pi\)
\(360\) 4.98085 1.99403i 0.262514 0.105095i
\(361\) −12.7442 2.45624i −0.670746 0.129276i
\(362\) −2.97796 4.18196i −0.156518 0.219799i
\(363\) −1.43218 0.420525i −0.0751697 0.0220718i
\(364\) 6.87292 15.7943i 0.360239 0.827847i
\(365\) 4.78550 + 33.2839i 0.250485 + 1.74216i
\(366\) 8.55607 4.41096i 0.447233 0.230565i
\(367\) 1.85953 + 3.22080i 0.0970668 + 0.168125i 0.910469 0.413577i \(-0.135721\pi\)
−0.813403 + 0.581701i \(0.802387\pi\)
\(368\) −22.4318 + 7.82687i −1.16934 + 0.408004i
\(369\) −0.836716 + 1.44923i −0.0435577 + 0.0754441i
\(370\) 33.6996 + 21.6574i 1.75196 + 1.12591i
\(371\) 9.20113 11.0122i 0.477699 0.571727i
\(372\) 3.86728 + 8.46815i 0.200509 + 0.439053i
\(373\) 6.19839 5.91015i 0.320940 0.306016i −0.512432 0.858728i \(-0.671255\pi\)
0.833373 + 0.552712i \(0.186407\pi\)
\(374\) 25.2993 2.41579i 1.30820 0.124918i
\(375\) 16.9150 + 3.26009i 0.873486 + 0.168351i
\(376\) −10.8317 8.51811i −0.558600 0.439288i
\(377\) −31.2870 + 9.18670i −1.61136 + 0.473139i
\(378\) 4.37157 1.84188i 0.224849 0.0947363i
\(379\) 26.4745 17.0141i 1.35990 0.873956i 0.361607 0.932331i \(-0.382228\pi\)
0.998295 + 0.0583745i \(0.0185918\pi\)
\(380\) −0.540455 11.3455i −0.0277248 0.582014i
\(381\) 2.50282 7.23143i 0.128223 0.370477i
\(382\) 10.1819 + 9.70839i 0.520950 + 0.496724i
\(383\) 1.63897 + 1.28890i 0.0837473 + 0.0658596i 0.659155 0.752007i \(-0.270914\pi\)
−0.575408 + 0.817867i \(0.695157\pi\)
\(384\) 6.80759 7.85637i 0.347398 0.400919i
\(385\) −6.78515 + 30.3370i −0.345803 + 1.54612i
\(386\) −33.7442 9.90818i −1.71753 0.504313i
\(387\) 6.21379 + 0.593345i 0.315865 + 0.0301614i
\(388\) −1.13004 + 0.888674i −0.0573691 + 0.0451156i
\(389\) −0.484178 + 10.1642i −0.0245488 + 0.515343i 0.952786 + 0.303643i \(0.0982030\pi\)
−0.977335 + 0.211700i \(0.932100\pi\)
\(390\) 18.3089 31.7120i 0.927108 1.60580i
\(391\) −2.15079 21.9414i −0.108770 1.10963i
\(392\) −9.01228 + 3.98925i −0.455189 + 0.201488i
\(393\) −2.78057 1.78697i −0.140261 0.0901405i
\(394\) 16.2556 + 6.50776i 0.818945 + 0.327856i
\(395\) −9.44583 + 13.2648i −0.475271 + 0.667425i
\(396\) −0.883036 3.63992i −0.0443742 0.182913i
\(397\) −0.789659 1.10892i −0.0396319 0.0556552i 0.794285 0.607546i \(-0.207846\pi\)
−0.833916 + 0.551891i \(0.813907\pi\)
\(398\) 21.6937 25.0359i 1.08741 1.25494i
\(399\) 0.425334 + 6.47828i 0.0212933 + 0.324320i
\(400\) 45.2537 13.2877i 2.26268 0.664384i
\(401\) −0.116014 + 0.0223599i −0.00579348 + 0.00111660i −0.192147 0.981366i \(-0.561545\pi\)
0.186354 + 0.982483i \(0.440333\pi\)
\(402\) −25.9512 13.3788i −1.29433 0.667273i
\(403\) −36.5083 18.8213i −1.81861 0.937557i
\(404\) 1.26097 0.243032i 0.0627355 0.0120913i
\(405\) 3.65624 1.07357i 0.181680 0.0533460i
\(406\) −25.8864 12.7622i −1.28472 0.633375i
\(407\) −11.8389 + 13.6628i −0.586832 + 0.677241i
\(408\) 3.75438 + 5.27230i 0.185870 + 0.261018i
\(409\) −3.17580 13.0908i −0.157033 0.647300i −0.994851 0.101350i \(-0.967684\pi\)
0.837817 0.545950i \(-0.183831\pi\)
\(410\) −6.63199 + 9.31332i −0.327530 + 0.459952i
\(411\) −9.57508 3.83328i −0.472304 0.189082i
\(412\) 18.4819 + 11.8776i 0.910538 + 0.585167i
\(413\) 16.9166 + 18.8286i 0.832411 + 0.926494i
\(414\) −8.35126 + 2.04822i −0.410442 + 0.100665i
\(415\) 8.80566 15.2518i 0.432253 0.748684i
\(416\) 1.54700 32.4754i 0.0758477 1.59224i
\(417\) −2.34943 + 1.84761i −0.115052 + 0.0904780i
\(418\) 13.5044 + 1.28952i 0.660523 + 0.0630723i
\(419\) 8.82137 + 2.59019i 0.430952 + 0.126539i 0.490012 0.871715i \(-0.336992\pi\)
−0.0590603 + 0.998254i \(0.518810\pi\)
\(420\) 11.6868 3.66081i 0.570259 0.178629i
\(421\) 26.0902 30.1097i 1.27156 1.46746i 0.454675 0.890658i \(-0.349756\pi\)
0.816885 0.576801i \(-0.195699\pi\)
\(422\) 0.878981 + 0.691239i 0.0427881 + 0.0336490i
\(423\) −7.08323 6.75385i −0.344399 0.328383i
\(424\) 2.49770 7.21662i 0.121299 0.350470i
\(425\) 2.08250 + 43.7171i 0.101016 + 2.12059i
\(426\) −14.3933 + 9.25001i −0.697357 + 0.448164i
\(427\) −13.0902 + 5.51532i −0.633477 + 0.266905i
\(428\) −0.980061 + 0.287772i −0.0473730 + 0.0139100i
\(429\) 12.9900 + 10.2155i 0.627163 + 0.493207i
\(430\) 41.8767 + 8.07108i 2.01948 + 0.389222i
\(431\) 20.5795 1.96510i 0.991279 0.0946556i 0.413203 0.910639i \(-0.364410\pi\)
0.578075 + 0.815983i \(0.303804\pi\)
\(432\) 3.58530 3.41858i 0.172498 0.164476i
\(433\) 14.8988 + 32.6239i 0.715993 + 1.56781i 0.819437 + 0.573170i \(0.194287\pi\)
−0.103444 + 0.994635i \(0.532986\pi\)
\(434\) −12.5057 34.1364i −0.600292 1.63860i
\(435\) −19.5036 12.5342i −0.935126 0.600969i
\(436\) 9.77047 16.9229i 0.467920 0.810462i
\(437\) 1.08920 11.7176i 0.0521035 0.560531i
\(438\) 7.91092 + 13.7021i 0.377999 + 0.654713i
\(439\) 17.1109 8.82130i 0.816660 0.421018i 0.00131947 0.999999i \(-0.499580\pi\)
0.815341 + 0.578982i \(0.196550\pi\)
\(440\) 2.35431 + 16.3746i 0.112237 + 0.780627i
\(441\) −6.64129 + 2.21208i −0.316252 + 0.105337i
\(442\) 42.3857 + 12.4456i 2.01608 + 0.591975i
\(443\) 12.4007 + 17.4143i 0.589174 + 0.827380i 0.996296 0.0859944i \(-0.0274067\pi\)
−0.407121 + 0.913374i \(0.633467\pi\)
\(444\) 6.99347 + 1.34788i 0.331895 + 0.0639676i
\(445\) −11.2129 + 4.48895i −0.531541 + 0.212797i
\(446\) 4.47885 18.4621i 0.212080 0.874205i
\(447\) −9.63259 11.1166i −0.455606 0.525797i
\(448\) 1.82300 1.80183i 0.0861284 0.0851285i
\(449\) 2.75569 1.77098i 0.130049 0.0835776i −0.473999 0.880526i \(-0.657190\pi\)
0.604048 + 0.796948i \(0.293554\pi\)
\(450\) 16.7617 3.23055i 0.790154 0.152290i
\(451\) −3.73437 3.56071i −0.175844 0.167667i
\(452\) −4.03589 + 1.61573i −0.189832 + 0.0759974i
\(453\) −3.35208 9.68519i −0.157494 0.455050i
\(454\) 4.08118 8.93654i 0.191539 0.419413i
\(455\) −30.5474 + 44.5708i −1.43208 + 2.08951i
\(456\) 1.43522 + 3.14268i 0.0672101 + 0.147170i
\(457\) 6.84613 + 2.74078i 0.320249 + 0.128208i 0.526217 0.850350i \(-0.323610\pi\)
−0.205968 + 0.978559i \(0.566034\pi\)
\(458\) −0.936735 + 19.6645i −0.0437708 + 0.918861i
\(459\) 2.29852 + 3.98115i 0.107286 + 0.185824i
\(460\) −21.9652 + 3.21447i −1.02413 + 0.149875i
\(461\) 29.7517 1.38567 0.692837 0.721094i \(-0.256360\pi\)
0.692837 + 0.721094i \(0.256360\pi\)
\(462\) 2.34132 + 14.4383i 0.108928 + 0.671729i
\(463\) −3.75580 26.1221i −0.174547 1.21400i −0.869129 0.494586i \(-0.835320\pi\)
0.694582 0.719413i \(-0.255589\pi\)
\(464\) −30.0034 2.86498i −1.39287 0.133003i
\(465\) −6.88499 28.3803i −0.319284 1.31611i
\(466\) −34.1397 + 3.25995i −1.58149 + 0.151014i
\(467\) −4.68412 13.5339i −0.216755 0.626273i −0.999990 0.00454672i \(-0.998553\pi\)
0.783234 0.621727i \(-0.213568\pi\)
\(468\) 0.926527 6.44413i 0.0428287 0.297880i
\(469\) 36.6568 + 22.6381i 1.69265 + 1.04533i
\(470\) −43.7892 50.5354i −2.01984 2.33102i
\(471\) 0.219469 + 4.60722i 0.0101126 + 0.212290i
\(472\) 11.9725 + 6.17227i 0.551080 + 0.284102i
\(473\) −6.29500 + 18.1882i −0.289444 + 0.836295i
\(474\) −1.80641 + 7.44614i −0.0829713 + 0.342012i
\(475\) −3.32476 + 23.1242i −0.152550 + 1.06101i
\(476\) 7.61576 + 12.6602i 0.349068 + 0.580278i
\(477\) 2.25317 4.93375i 0.103165 0.225901i
\(478\) −6.71558 + 6.40329i −0.307163 + 0.292880i
\(479\) −7.80766 + 10.9643i −0.356741 + 0.500973i −0.953477 0.301465i \(-0.902524\pi\)
0.596736 + 0.802437i \(0.296464\pi\)
\(480\) 18.1704 14.2894i 0.829361 0.652217i
\(481\) −27.9307 + 14.3993i −1.27353 + 0.656549i
\(482\) 31.8275 1.44970
\(483\) 12.5198 2.06251i 0.569672 0.0938477i
\(484\) −1.81315 −0.0824161
\(485\) 4.00844 2.06650i 0.182014 0.0938348i
\(486\) 1.40937 1.10834i 0.0639302 0.0502753i
\(487\) 11.5403 16.2061i 0.522943 0.734370i −0.465653 0.884968i \(-0.654180\pi\)
0.988595 + 0.150597i \(0.0481197\pi\)
\(488\) −5.47079 + 5.21639i −0.247651 + 0.236135i
\(489\) 2.45947 5.38550i 0.111221 0.243541i
\(490\) −46.6062 + 10.7319i −2.10546 + 0.484818i
\(491\) −3.76080 + 26.1569i −0.169722 + 1.18045i 0.709735 + 0.704468i \(0.248815\pi\)
−0.879458 + 0.475977i \(0.842095\pi\)
\(492\) −0.479244 + 1.97547i −0.0216060 + 0.0890610i
\(493\) 9.14768 26.4305i 0.411991 1.19037i
\(494\) 20.9588 + 10.8050i 0.942979 + 0.486140i
\(495\) 0.559068 + 11.7363i 0.0251282 + 0.527507i
\(496\) −24.8621 28.6924i −1.11634 1.28833i
\(497\) 22.2290 11.9700i 0.997108 0.536929i
\(498\) 1.17929 8.20216i 0.0528454 0.367548i
\(499\) −12.0158 34.7175i −0.537903 1.55417i −0.806694 0.590970i \(-0.798745\pi\)
0.268791 0.963199i \(-0.413376\pi\)
\(500\) 20.8306 1.98908i 0.931571 0.0889542i
\(501\) −5.27229 21.7327i −0.235549 0.970945i
\(502\) 0.933865 + 0.0891733i 0.0416804 + 0.00398000i
\(503\) 0.652051 + 4.53511i 0.0290735 + 0.202211i 0.999181 0.0404651i \(-0.0128840\pi\)
−0.970107 + 0.242676i \(0.921975\pi\)
\(504\) −2.88631 + 2.35493i −0.128566 + 0.104897i
\(505\) −4.02844 −0.179263
\(506\) −0.0666100 26.5134i −0.00296118 1.17866i
\(507\) 7.86233 + 13.6179i 0.349178 + 0.604794i
\(508\) 0.442297 9.28496i 0.0196238 0.411953i
\(509\) 2.45523 + 0.982926i 0.108826 + 0.0435674i 0.425437 0.904988i \(-0.360121\pi\)
−0.316610 + 0.948556i \(0.602545\pi\)
\(510\) 13.0474 + 28.5699i 0.577750 + 1.26510i
\(511\) −10.0786 21.0597i −0.445852 0.931626i
\(512\) 6.68890 14.6467i 0.295610 0.647297i
\(513\) 0.802569 + 2.31887i 0.0354343 + 0.102381i
\(514\) −38.2370 + 15.3078i −1.68656 + 0.675197i
\(515\) −49.8782 47.5588i −2.19790 2.09569i
\(516\) 7.44540 1.43498i 0.327765 0.0631716i
\(517\) 25.3869 16.3152i 1.11651 0.717540i
\(518\) −26.8232 7.35536i −1.17854 0.323176i
\(519\) 9.55986 + 11.0327i 0.419631 + 0.484280i
\(520\) −6.77921 + 27.9443i −0.297288 + 1.22544i
\(521\) −38.4770 + 15.4039i −1.68571 + 0.674856i −0.998660 0.0517551i \(-0.983518\pi\)
−0.687049 + 0.726611i \(0.741094\pi\)
\(522\) −10.7114 2.06446i −0.468827 0.0903589i
\(523\) 5.19919 + 7.30125i 0.227345 + 0.319261i 0.912454 0.409179i \(-0.134185\pi\)
−0.685109 + 0.728440i \(0.740246\pi\)
\(524\) −3.85238 1.13116i −0.168292 0.0494150i
\(525\) −25.0281 + 2.84436i −1.09232 + 0.124138i
\(526\) −2.22506 15.4757i −0.0970174 0.674771i
\(527\) 31.3142 16.1436i 1.36407 0.703226i
\(528\) 7.63742 + 13.2284i 0.332376 + 0.575692i
\(529\) −22.9997 + 0.115566i −0.999987 + 0.00502460i
\(530\) 18.5288 32.0928i 0.804838 1.39402i
\(531\) 8.04824 + 5.17229i 0.349264 + 0.224458i
\(532\) 2.71279 + 7.40504i 0.117615 + 0.321049i
\(533\) −3.72578 8.15833i −0.161382 0.353376i
\(534\) −4.11296 + 3.92170i −0.177985 + 0.169709i
\(535\) 3.18972 0.304581i 0.137904 0.0131682i
\(536\) 22.5131 + 4.33903i 0.972416 + 0.187418i
\(537\) −15.2189 11.9682i −0.656742 0.516468i
\(538\) −10.7050 + 3.14328i −0.461527 + 0.135517i
\(539\) −1.80064 21.5086i −0.0775592 0.926440i
\(540\) 3.89404 2.50254i 0.167573 0.107692i
\(541\) 0.801322 + 16.8218i 0.0344515 + 0.723226i 0.948339 + 0.317259i \(0.102762\pi\)
−0.913888 + 0.405967i \(0.866935\pi\)
\(542\) −14.0926 + 40.7178i −0.605328 + 1.74898i
\(543\) 2.07231 + 1.97595i 0.0889314 + 0.0847959i
\(544\) 21.9204 + 17.2384i 0.939831 + 0.739091i
\(545\) −40.1427 + 46.3271i −1.71952 + 1.98444i
\(546\) −5.54928 + 24.8113i −0.237487 + 1.06182i
\(547\) −24.7183 7.25796i −1.05688 0.310328i −0.293286 0.956025i \(-0.594749\pi\)
−0.763594 + 0.645697i \(0.776567\pi\)
\(548\) −12.4719 1.19092i −0.532772 0.0508736i
\(549\) −4.22019 + 3.31880i −0.180113 + 0.141643i
\(550\) −2.50444 + 52.5746i −0.106789 + 2.24179i
\(551\) 7.46465 12.9292i 0.318005 0.550801i
\(552\) 5.83920 3.39085i 0.248533 0.144324i
\(553\) 3.50548 10.7493i 0.149068 0.457106i
\(554\) −22.7223 14.6028i −0.965379 0.620411i
\(555\) −20.7417 8.30374i −0.880438 0.352474i
\(556\) −2.10602 + 2.95749i −0.0893150 + 0.125425i
\(557\) −3.60307 14.8521i −0.152667 0.629303i −0.995797 0.0915920i \(-0.970804\pi\)
0.843129 0.537711i \(-0.180711\pi\)
\(558\) −7.97050 11.1930i −0.337418 0.473838i
\(559\) −21.9081 + 25.2833i −0.926613 + 1.06937i
\(560\) −41.5243 + 27.7523i −1.75472 + 1.17275i
\(561\) −13.6003 + 3.99342i −0.574206 + 0.168602i
\(562\) 37.6438 7.25525i 1.58791 0.306044i
\(563\) 38.1391 + 19.6621i 1.60737 + 0.828658i 0.999398 + 0.0347021i \(0.0110482\pi\)
0.607975 + 0.793956i \(0.291982\pi\)
\(564\) −10.5671 5.44770i −0.444954 0.229389i
\(565\) 13.3910 2.58089i 0.563362 0.108579i
\(566\) 14.3231 4.20564i 0.602045 0.176776i
\(567\) −2.19970 + 1.47015i −0.0923786 + 0.0617403i
\(568\) 8.79833 10.1538i 0.369170 0.426045i
\(569\) −6.90174 9.69214i −0.289336 0.406316i 0.644167 0.764885i \(-0.277204\pi\)
−0.933503 + 0.358569i \(0.883265\pi\)
\(570\) 3.95255 + 16.2926i 0.165554 + 0.682424i
\(571\) 4.97365 6.98451i 0.208141 0.292293i −0.697288 0.716791i \(-0.745610\pi\)
0.905429 + 0.424498i \(0.139550\pi\)
\(572\) 18.6362 + 7.46082i 0.779220 + 0.311952i
\(573\) −6.60090 4.24214i −0.275756 0.177218i
\(574\) 2.46122 7.54715i 0.102729 0.315012i
\(575\) 45.6129 + 2.05797i 1.90219 + 0.0858233i
\(576\) 0.484396 0.838999i 0.0201832 0.0349583i
\(577\) 0.777666 16.3252i 0.0323747 0.679628i −0.923101 0.384558i \(-0.874354\pi\)
0.955476 0.295070i \(-0.0953430\pi\)
\(578\) −5.82451 + 4.58045i −0.242268 + 0.190521i
\(579\) 19.5260 + 1.86451i 0.811473 + 0.0774863i
\(580\) −27.0215 7.93424i −1.12201 0.329451i
\(581\) −2.66892 + 11.9330i −0.110725 + 0.495063i
\(582\) 1.38958 1.60366i 0.0575999 0.0664738i
\(583\) 13.1460 + 10.3381i 0.544451 + 0.428161i
\(584\) −8.99196 8.57382i −0.372090 0.354787i
\(585\) −6.67972 + 19.2998i −0.276172 + 0.797948i
\(586\) 0.388969 + 8.16546i 0.0160682 + 0.337312i
\(587\) 19.6674 12.6395i 0.811760 0.521686i −0.0676741 0.997707i \(-0.521558\pi\)
0.879434 + 0.476021i \(0.157921\pi\)
\(588\) −6.98356 + 4.85108i −0.287997 + 0.200055i
\(589\) 18.0438 5.29815i 0.743483 0.218306i
\(590\) 51.3796 + 40.4054i 2.11526 + 1.66346i
\(591\) −9.58938 1.84820i −0.394454 0.0760248i
\(592\) −28.9140 + 2.76095i −1.18836 + 0.113474i
\(593\) 19.6777 18.7627i 0.808068 0.770491i −0.168500 0.985702i \(-0.553892\pi\)
0.976568 + 0.215211i \(0.0690438\pi\)
\(594\) 2.29660 + 5.02884i 0.0942305 + 0.206336i
\(595\) −15.9427 43.5184i −0.653588 1.78408i
\(596\) −15.0315 9.66013i −0.615713 0.395694i
\(597\) −9.23810 + 16.0009i −0.378090 + 0.654872i
\(598\) 17.0207 42.8271i 0.696028 1.75133i
\(599\) 5.37459 + 9.30907i 0.219600 + 0.380358i 0.954686 0.297616i \(-0.0961915\pi\)
−0.735086 + 0.677974i \(0.762858\pi\)
\(600\) −11.9145 + 6.14237i −0.486409 + 0.250761i
\(601\) −4.32668 30.0928i −0.176489 1.22751i −0.864809 0.502101i \(-0.832560\pi\)
0.688320 0.725408i \(-0.258349\pi\)
\(602\) −29.4213 + 3.34364i −1.19912 + 0.136277i
\(603\) 15.6245 + 4.58776i 0.636278 + 0.186828i
\(604\) −7.22149 10.1412i −0.293838 0.412638i
\(605\) 5.58505 + 1.07643i 0.227065 + 0.0437631i
\(606\) −1.75969 + 0.704474i −0.0714825 + 0.0286173i
\(607\) −8.86886 + 36.5579i −0.359976 + 1.48384i 0.447684 + 0.894192i \(0.352249\pi\)
−0.807660 + 0.589649i \(0.799266\pi\)
\(608\) 9.74795 + 11.2497i 0.395331 + 0.456237i
\(609\) 15.5239 + 4.25691i 0.629060 + 0.172499i
\(610\) −30.8583 + 19.8314i −1.24942 + 0.802952i
\(611\) 51.5062 9.92702i 2.08372 0.401604i
\(612\) 4.04145 + 3.85351i 0.163366 + 0.155769i
\(613\) 17.3223 6.93478i 0.699639 0.280093i 0.00555240 0.999985i \(-0.498233\pi\)
0.694087 + 0.719891i \(0.255808\pi\)
\(614\) 3.96786 + 11.4644i 0.160130 + 0.462664i
\(615\) 2.64901 5.80051i 0.106818 0.233899i
\(616\) −4.95835 10.3607i −0.199778 0.417443i
\(617\) 5.82652 + 12.7583i 0.234567 + 0.513630i 0.989910 0.141700i \(-0.0452569\pi\)
−0.755343 + 0.655330i \(0.772530\pi\)
\(618\) −30.1045 12.0520i −1.21098 0.484804i
\(619\) 0.102668 2.15527i 0.00412659 0.0866278i −0.995864 0.0908511i \(-0.971041\pi\)
0.999991 + 0.00422325i \(0.00134431\pi\)
\(620\) −17.7372 30.7218i −0.712344 1.23382i
\(621\) 4.35742 2.00321i 0.174857 0.0803862i
\(622\) −1.08228 −0.0433955
\(623\) 6.49764 5.30141i 0.260322 0.212397i
\(624\) 3.77854 + 26.2803i 0.151263 + 1.05205i
\(625\) −17.9575 1.71474i −0.718301 0.0685895i
\(626\) −2.63034 10.8424i −0.105129 0.433350i
\(627\) −7.53188 + 0.719208i −0.300794 + 0.0287224i
\(628\) 1.83252 + 5.29473i 0.0731257 + 0.211283i
\(629\) 3.83584 26.6788i 0.152945 1.06375i
\(630\) −15.9157 + 8.57036i −0.634095 + 0.341451i
\(631\) 18.2611 + 21.0745i 0.726964 + 0.838962i 0.992126 0.125242i \(-0.0399708\pi\)
−0.265162 + 0.964204i \(0.585425\pi\)
\(632\) −0.286292 6.01001i −0.0113881 0.239065i
\(633\) −0.554341 0.285783i −0.0220331 0.0113588i
\(634\) 1.19068 3.44025i 0.0472881 0.136630i
\(635\) −6.87468 + 28.3378i −0.272814 + 1.12455i
\(636\) 0.937652 6.52151i 0.0371803 0.258595i
\(637\) 10.9893 35.8712i 0.435412 1.42127i
\(638\) 13.9727 30.5959i 0.553184 1.21130i
\(639\) 6.90621 6.58506i 0.273206 0.260501i
\(640\) −22.9777 + 32.2677i −0.908275 + 1.27549i
\(641\) 32.4128 25.4897i 1.28023 1.00678i 0.281342 0.959608i \(-0.409221\pi\)
0.998887 0.0471749i \(-0.0150218\pi\)
\(642\) 1.34006 0.690850i 0.0528880 0.0272657i
\(643\) −10.4303 −0.411332 −0.205666 0.978622i \(-0.565936\pi\)
−0.205666 + 0.978622i \(0.565936\pi\)
\(644\) 13.8863 6.68857i 0.547198 0.263567i
\(645\) −23.7860 −0.936571
\(646\) −17.9769 + 9.26776i −0.707293 + 0.364635i
\(647\) −30.7353 + 24.1705i −1.20833 + 0.950240i −0.999615 0.0277370i \(-0.991170\pi\)
−0.208713 + 0.977977i \(0.566927\pi\)
\(648\) −0.816697 + 1.14689i −0.0320829 + 0.0450541i
\(649\) −21.3493 + 20.3565i −0.838032 + 0.799062i
\(650\) −38.0056 + 83.2206i −1.49070 + 3.26418i
\(651\) 10.4520 + 17.3750i 0.409645 + 0.680980i
\(652\) 1.02351 7.11864i 0.0400836 0.278788i
\(653\) 5.73894 23.6562i 0.224582 0.925740i −0.742208 0.670169i \(-0.766221\pi\)
0.966790 0.255571i \(-0.0822634\pi\)
\(654\) −9.43355 + 27.2565i −0.368881 + 1.06581i
\(655\) 11.1949 + 5.77139i 0.437422 + 0.225507i
\(656\) −0.394454 8.28061i −0.0154008 0.323303i
\(657\) −5.77875 6.66903i −0.225450 0.260184i
\(658\) 39.5017 + 24.3950i 1.53994 + 0.951016i
\(659\) −3.59209 + 24.9835i −0.139928 + 0.973220i 0.791986 + 0.610540i \(0.209047\pi\)
−0.931914 + 0.362681i \(0.881862\pi\)
\(660\) 4.66811 + 13.4876i 0.181706 + 0.525005i
\(661\) −41.2463 + 3.93854i −1.60429 + 0.153191i −0.858438 0.512917i \(-0.828565\pi\)
−0.745855 + 0.666108i \(0.767959\pi\)
\(662\) 1.13984 + 4.69848i 0.0443011 + 0.182612i
\(663\) −24.5264 2.34199i −0.952527 0.0909553i
\(664\) 0.926062 + 6.44090i 0.0359382 + 0.249955i
\(665\) −3.96000 24.4202i −0.153562 0.946976i
\(666\) −10.5125 −0.407350
\(667\) −26.5718 12.0544i −1.02887 0.466747i
\(668\) −13.5826 23.5257i −0.525525 0.910236i
\(669\) −0.504160 + 10.5836i −0.0194919 + 0.409186i
\(670\) 103.288 + 41.3502i 3.99036 + 1.59750i
\(671\) −6.87690 15.0583i −0.265480 0.581320i
\(672\) −9.07347 + 13.2389i −0.350017 + 0.510700i
\(673\) 11.4053 24.9742i 0.439644 0.962685i −0.552020 0.833831i \(-0.686143\pi\)
0.991664 0.128854i \(-0.0411300\pi\)
\(674\) −12.3430 35.6627i −0.475434 1.37368i
\(675\) −8.83865 + 3.53846i −0.340200 + 0.136195i
\(676\) 13.8242 + 13.1814i 0.531700 + 0.506975i
\(677\) 26.8164 5.16844i 1.03064 0.198639i 0.354224 0.935161i \(-0.384745\pi\)
0.676414 + 0.736521i \(0.263533\pi\)
\(678\) 5.39806 3.46913i 0.207311 0.133231i
\(679\) −2.22698 + 2.20113i −0.0854637 + 0.0844715i
\(680\) −16.1514 18.6397i −0.619377 0.714800i
\(681\) −1.29181 + 5.32493i −0.0495024 + 0.204052i
\(682\) 39.3337 15.7468i 1.50617 0.602978i
\(683\) −37.3983 7.20792i −1.43100 0.275804i −0.585891 0.810390i \(-0.699255\pi\)
−0.845114 + 0.534586i \(0.820467\pi\)
\(684\) 1.72900 + 2.42804i 0.0661100 + 0.0928386i
\(685\) 37.7100 + 11.0727i 1.44083 + 0.423065i
\(686\) 28.6525 16.7835i 1.09396 0.640797i
\(687\) −1.56262 10.8682i −0.0596176 0.414649i
\(688\) −27.4850 + 14.1695i −1.04786 + 0.540207i
\(689\) 14.5348 + 25.1750i 0.553731 + 0.959091i
\(690\) 30.9373 10.7946i 1.17776 0.410944i
\(691\) −8.67349 + 15.0229i −0.329955 + 0.571499i −0.982503 0.186249i \(-0.940367\pi\)
0.652548 + 0.757748i \(0.273700\pi\)
\(692\) 14.9180 + 9.58720i 0.567096 + 0.364451i
\(693\) −2.80622 7.66007i −0.106600 0.290982i
\(694\) −6.90840 15.1273i −0.262239 0.574224i
\(695\) 8.24295 7.85963i 0.312673 0.298133i
\(696\) 8.52736 0.814264i 0.323229 0.0308646i
\(697\) 7.55380 + 1.45588i 0.286121 + 0.0551452i
\(698\) −1.97546 1.55352i −0.0747723 0.0588016i
\(699\) 18.3527 5.38884i 0.694163 0.203825i
\(700\) −28.1975 + 11.8805i −1.06577 + 0.449042i
\(701\) −17.1232 + 11.0044i −0.646732 + 0.415630i −0.822471 0.568807i \(-0.807405\pi\)
0.175738 + 0.984437i \(0.443769\pi\)
\(702\) 0.457237 + 9.59859i 0.0172573 + 0.362276i
\(703\) 4.70560 13.5959i 0.177475 0.512780i
\(704\) 2.16192 + 2.06139i 0.0814804 + 0.0776914i
\(705\) 29.3155 + 23.0540i 1.10409 + 0.868262i
\(706\) −24.6606 + 28.4599i −0.928114 + 1.07110i
\(707\) 2.66912 0.836080i 0.100382 0.0314440i
\(708\) 11.1505 + 3.27409i 0.419063 + 0.123048i
\(709\) −11.4104 1.08956i −0.428525 0.0409192i −0.121435 0.992599i \(-0.538749\pi\)
−0.307091 + 0.951680i \(0.599355\pi\)
\(710\) 51.2481 40.3020i 1.92331 1.51251i
\(711\) 0.203338 4.26859i 0.00762577 0.160085i
\(712\) 2.23133 3.86478i 0.0836227 0.144839i
\(713\) −13.7458 34.0870i −0.514785 1.27657i
\(714\) −14.5743 16.2216i −0.545431 0.607078i
\(715\) −52.9757 34.0454i −1.98118 1.27323i
\(716\) −21.8339 8.74096i −0.815970 0.326665i
\(717\) 3.00195 4.21564i 0.112110 0.157436i
\(718\) −10.5245 43.3828i −0.392773 1.61903i
\(719\) 11.4260 + 16.0456i 0.426118 + 0.598399i 0.970696 0.240311i \(-0.0772496\pi\)
−0.544578 + 0.838710i \(0.683310\pi\)
\(720\) −12.3620 + 14.2665i −0.460704 + 0.531681i
\(721\) 42.9184 + 21.1590i 1.59836 + 0.788004i
\(722\) 22.3278 6.55603i 0.830955 0.243990i
\(723\) −17.4305 + 3.35945i −0.648247 + 0.124939i
\(724\) 3.09156 + 1.59381i 0.114897 + 0.0592335i
\(725\) 51.4852 + 26.5424i 1.91211 + 0.985762i
\(726\) 2.62789 0.506484i 0.0975300 0.0187974i
\(727\) 10.1047 2.96701i 0.374762 0.110040i −0.0889266 0.996038i \(-0.528344\pi\)
0.463689 + 0.885998i \(0.346525\pi\)
\(728\) −1.30799 19.9220i −0.0484772 0.738358i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −34.9720 49.1113i −1.29437 1.81769i
\(731\) −6.76509 27.8861i −0.250216 1.03140i
\(732\) −3.78296 + 5.31242i −0.139822 + 0.196353i
\(733\) 19.7001 + 7.88674i 0.727641 + 0.291303i 0.705754 0.708457i \(-0.250608\pi\)
0.0218867 + 0.999760i \(0.493033\pi\)
\(734\) −5.60961 3.60508i −0.207055 0.133066i
\(735\) 24.3914 10.7968i 0.899690 0.398245i
\(736\) 20.0233 21.1057i 0.738068 0.777968i
\(737\) −25.1052 + 43.4835i −0.924762 + 1.60174i
\(738\) 0.142765 2.99701i 0.00525526 0.110321i
\(739\) 7.75891 6.10168i 0.285416 0.224454i −0.465178 0.885217i \(-0.654010\pi\)
0.750594 + 0.660763i \(0.229767\pi\)
\(740\) −27.0168 2.57979i −0.993158 0.0948351i
\(741\) −12.6187 3.70518i −0.463559 0.136113i
\(742\) −5.61591 + 25.1092i −0.206167 + 0.921788i
\(743\) −20.5581 + 23.7253i −0.754204 + 0.870397i −0.994969 0.100186i \(-0.968056\pi\)
0.240765 + 0.970583i \(0.422602\pi\)
\(744\) 8.48174 + 6.67011i 0.310956 + 0.244538i
\(745\) 40.5663 + 38.6799i 1.48623 + 1.41712i
\(746\) −5.02239 + 14.5112i −0.183883 + 0.531294i
\(747\) 0.219908 + 4.61644i 0.00804601 + 0.168907i
\(748\) −14.4849 + 9.30887i −0.529620 + 0.340366i
\(749\) −2.05020 + 0.863816i −0.0749126 + 0.0315631i
\(750\) −29.6350 + 8.70163i −1.08212 + 0.317739i
\(751\) −1.55630 1.22389i −0.0567901 0.0446602i 0.589360 0.807870i \(-0.299380\pi\)
−0.646151 + 0.763210i \(0.723622\pi\)
\(752\) 47.6079 + 9.17567i 1.73608 + 0.334602i
\(753\) −0.520849 + 0.0497350i −0.0189808 + 0.00181245i
\(754\) 42.3130 40.3454i 1.54095 1.46929i
\(755\) 16.2237 + 35.5250i 0.590442 + 1.29289i
\(756\) −2.06068 + 2.46630i −0.0749462 + 0.0896983i
\(757\) −14.1954 9.12281i −0.515940 0.331574i 0.256624 0.966511i \(-0.417390\pi\)
−0.772564 + 0.634937i \(0.781026\pi\)
\(758\) −28.2126 + 48.8656i −1.02473 + 1.77488i
\(759\) 2.83502 + 14.5132i 0.102905 + 0.526795i
\(760\) −6.58260 11.4014i −0.238776 0.413572i
\(761\) 20.5652 10.6021i 0.745488 0.384326i −0.0432425 0.999065i \(-0.513769\pi\)
0.788731 + 0.614739i \(0.210738\pi\)
\(762\) 1.95261 + 13.5807i 0.0707354 + 0.491976i
\(763\) 16.9824 39.0263i 0.614803 1.41285i
\(764\) −9.14530 2.68530i −0.330865 0.0971509i
\(765\) −10.1611 14.2693i −0.367376 0.515907i
\(766\) −3.67089 0.707505i −0.132634 0.0255632i
\(767\) −47.6016 + 19.0568i −1.71879 + 0.688101i
\(768\) −4.85105 + 19.9963i −0.175047 + 0.721555i
\(769\) −10.5578 12.1843i −0.380723 0.439377i 0.532753 0.846271i \(-0.321157\pi\)
−0.913476 + 0.406893i \(0.866612\pi\)
\(770\) −14.1112 53.9212i −0.508534 1.94318i
\(771\) 19.3249