Properties

Label 135.2.q.a.32.6
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.6
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0909691 + 1.03978i) q^{2} +(1.49497 - 0.874685i) q^{3} +(0.896746 + 0.158121i) q^{4} +(-1.77681 + 1.35756i) q^{5} +(0.773485 + 1.63401i) q^{6} +(0.397456 - 0.567627i) q^{7} +(-0.786273 + 2.93441i) q^{8} +(1.46985 - 2.61525i) q^{9} +O(q^{10})\) \(q+(-0.0909691 + 1.03978i) q^{2} +(1.49497 - 0.874685i) q^{3} +(0.896746 + 0.158121i) q^{4} +(-1.77681 + 1.35756i) q^{5} +(0.773485 + 1.63401i) q^{6} +(0.397456 - 0.567627i) q^{7} +(-0.786273 + 2.93441i) q^{8} +(1.46985 - 2.61525i) q^{9} +(-1.24993 - 1.97098i) q^{10} +(0.597632 - 1.64198i) q^{11} +(1.47891 - 0.547986i) q^{12} +(-0.720360 + 0.0630233i) q^{13} +(0.554051 + 0.464904i) q^{14} +(-1.46883 + 3.58365i) q^{15} +(-1.26829 - 0.461619i) q^{16} +(-0.792096 - 2.95614i) q^{17} +(2.58558 + 1.76623i) q^{18} +(-3.38781 + 1.95596i) q^{19} +(-1.80800 + 0.936435i) q^{20} +(0.0976895 - 1.19623i) q^{21} +(1.65293 + 0.770776i) q^{22} +(-6.61310 + 4.63055i) q^{23} +(1.39123 + 5.07459i) q^{24} +(1.31408 - 4.82423i) q^{25} -0.754750i q^{26} +(-0.0901428 - 5.19537i) q^{27} +(0.446171 - 0.446171i) q^{28} +(5.68683 - 4.77181i) q^{29} +(-3.59259 - 1.85326i) q^{30} +(0.764639 - 4.33648i) q^{31} +(-1.97241 + 4.22984i) q^{32} +(-0.542776 - 2.97745i) q^{33} +(3.14580 - 0.554689i) q^{34} +(0.0643826 + 1.54813i) q^{35} +(1.73161 - 2.11280i) q^{36} +(-10.6938 + 2.86540i) q^{37} +(-1.72558 - 3.70052i) q^{38} +(-1.02179 + 0.724306i) q^{39} +(-2.58658 - 6.28129i) q^{40} +(2.71443 - 3.23493i) q^{41} +(1.23493 + 0.210396i) q^{42} +(5.87799 - 2.74095i) q^{43} +(0.795555 - 1.37794i) q^{44} +(0.938712 + 6.64220i) q^{45} +(-4.21317 - 7.29742i) q^{46} +(-3.32527 - 2.32838i) q^{47} +(-2.29982 + 0.419248i) q^{48} +(2.22991 + 6.12663i) q^{49} +(4.89660 + 1.80521i) q^{50} +(-3.76985 - 3.72650i) q^{51} +(-0.655945 - 0.0573878i) q^{52} +(5.90884 + 5.90884i) q^{53} +(5.41025 + 0.378889i) q^{54} +(1.16721 + 3.72880i) q^{55} +(1.35314 + 1.61261i) q^{56} +(-3.35382 + 5.88736i) q^{57} +(4.44432 + 6.34714i) q^{58} +(-2.63750 + 0.959971i) q^{59} +(-1.88382 + 2.98137i) q^{60} +(1.13591 + 6.44205i) q^{61} +(4.43943 + 1.18954i) q^{62} +(-0.900284 - 1.87378i) q^{63} +(-6.55640 - 3.78534i) q^{64} +(1.19438 - 1.08991i) q^{65} +(3.14527 - 0.293513i) q^{66} +(0.978397 + 11.1831i) q^{67} +(-0.242882 - 2.77616i) q^{68} +(-5.83610 + 12.7069i) q^{69} +(-1.61558 - 0.0738883i) q^{70} +(5.58689 + 3.22559i) q^{71} +(6.51852 + 6.36945i) q^{72} +(8.08612 + 2.16667i) q^{73} +(-2.00658 - 11.3799i) q^{74} +(-2.25518 - 8.36147i) q^{75} +(-3.34729 + 1.21831i) q^{76} +(-0.694499 - 0.991847i) q^{77} +(-0.660168 - 1.12833i) q^{78} +(1.04738 + 1.24822i) q^{79} +(2.88018 - 0.901566i) q^{80} +(-4.67907 - 7.68806i) q^{81} +(3.11669 + 3.11669i) q^{82} +(-1.78607 - 0.156261i) q^{83} +(0.276752 - 1.05727i) q^{84} +(5.42053 + 4.17718i) q^{85} +(2.31528 + 6.36117i) q^{86} +(4.32778 - 12.1079i) q^{87} +(4.34834 + 3.04474i) q^{88} +(-2.78132 - 4.81739i) q^{89} +(-6.99183 + 0.371820i) q^{90} +(-0.250538 + 0.433944i) q^{91} +(-6.66246 + 3.10676i) q^{92} +(-2.64995 - 7.15171i) q^{93} +(2.72350 - 3.24574i) q^{94} +(3.36417 - 8.07451i) q^{95} +(0.751097 + 8.04871i) q^{96} +(-1.95866 - 4.20036i) q^{97} +(-6.57321 + 1.76129i) q^{98} +(-3.41576 - 3.97642i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0909691 + 1.03978i −0.0643248 + 0.735236i 0.893721 + 0.448622i \(0.148085\pi\)
−0.958046 + 0.286614i \(0.907470\pi\)
\(3\) 1.49497 0.874685i 0.863119 0.505000i
\(4\) 0.896746 + 0.158121i 0.448373 + 0.0790603i
\(5\) −1.77681 + 1.35756i −0.794612 + 0.607118i
\(6\) 0.773485 + 1.63401i 0.315774 + 0.667081i
\(7\) 0.397456 0.567627i 0.150224 0.214543i −0.736986 0.675908i \(-0.763751\pi\)
0.887210 + 0.461366i \(0.152640\pi\)
\(8\) −0.786273 + 2.93441i −0.277990 + 1.03747i
\(9\) 1.46985 2.61525i 0.489950 0.871750i
\(10\) −1.24993 1.97098i −0.395262 0.623280i
\(11\) 0.597632 1.64198i 0.180193 0.495076i −0.816406 0.577478i \(-0.804037\pi\)
0.996599 + 0.0824022i \(0.0262592\pi\)
\(12\) 1.47891 0.547986i 0.426925 0.158190i
\(13\) −0.720360 + 0.0630233i −0.199792 + 0.0174795i −0.186612 0.982434i \(-0.559751\pi\)
−0.0131795 + 0.999913i \(0.504195\pi\)
\(14\) 0.554051 + 0.464904i 0.148076 + 0.124251i
\(15\) −1.46883 + 3.58365i −0.379250 + 0.925294i
\(16\) −1.26829 0.461619i −0.317072 0.115405i
\(17\) −0.792096 2.95614i −0.192112 0.716970i −0.992996 0.118151i \(-0.962303\pi\)
0.800884 0.598819i \(-0.204363\pi\)
\(18\) 2.58558 + 1.76623i 0.609426 + 0.416304i
\(19\) −3.38781 + 1.95596i −0.777218 + 0.448727i −0.835443 0.549576i \(-0.814789\pi\)
0.0582254 + 0.998303i \(0.481456\pi\)
\(20\) −1.80800 + 0.936435i −0.404281 + 0.209393i
\(21\) 0.0976895 1.19623i 0.0213176 0.261039i
\(22\) 1.65293 + 0.770776i 0.352407 + 0.164330i
\(23\) −6.61310 + 4.63055i −1.37893 + 0.965535i −0.379746 + 0.925091i \(0.623989\pi\)
−0.999182 + 0.0404446i \(0.987123\pi\)
\(24\) 1.39123 + 5.07459i 0.283985 + 1.03585i
\(25\) 1.31408 4.82423i 0.262816 0.964846i
\(26\) 0.754750i 0.148019i
\(27\) −0.0901428 5.19537i −0.0173480 0.999850i
\(28\) 0.446171 0.446171i 0.0843184 0.0843184i
\(29\) 5.68683 4.77181i 1.05602 0.886103i 0.0623035 0.998057i \(-0.480155\pi\)
0.993713 + 0.111954i \(0.0357109\pi\)
\(30\) −3.59259 1.85326i −0.655915 0.338358i
\(31\) 0.764639 4.33648i 0.137333 0.778855i −0.835873 0.548922i \(-0.815038\pi\)
0.973207 0.229933i \(-0.0738506\pi\)
\(32\) −1.97241 + 4.22984i −0.348676 + 0.747738i
\(33\) −0.542776 2.97745i −0.0944852 0.518307i
\(34\) 3.14580 0.554689i 0.539500 0.0951284i
\(35\) 0.0643826 + 1.54813i 0.0108826 + 0.261682i
\(36\) 1.73161 2.11280i 0.288601 0.352134i
\(37\) −10.6938 + 2.86540i −1.75805 + 0.471069i −0.986315 0.164870i \(-0.947280\pi\)
−0.771739 + 0.635939i \(0.780613\pi\)
\(38\) −1.72558 3.70052i −0.279926 0.600303i
\(39\) −1.02179 + 0.724306i −0.163617 + 0.115982i
\(40\) −2.58658 6.28129i −0.408974 0.993159i
\(41\) 2.71443 3.23493i 0.423923 0.505212i −0.511236 0.859441i \(-0.670812\pi\)
0.935159 + 0.354229i \(0.115257\pi\)
\(42\) 1.23493 + 0.210396i 0.190554 + 0.0324648i
\(43\) 5.87799 2.74095i 0.896385 0.417991i 0.0808685 0.996725i \(-0.474231\pi\)
0.815517 + 0.578733i \(0.196453\pi\)
\(44\) 0.795555 1.37794i 0.119934 0.207733i
\(45\) 0.938712 + 6.64220i 0.139935 + 0.990161i
\(46\) −4.21317 7.29742i −0.621197 1.07595i
\(47\) −3.32527 2.32838i −0.485040 0.339628i 0.305342 0.952243i \(-0.401229\pi\)
−0.790382 + 0.612614i \(0.790118\pi\)
\(48\) −2.29982 + 0.419248i −0.331950 + 0.0605132i
\(49\) 2.22991 + 6.12663i 0.318559 + 0.875234i
\(50\) 4.89660 + 1.80521i 0.692484 + 0.255295i
\(51\) −3.76985 3.72650i −0.527885 0.521815i
\(52\) −0.655945 0.0573878i −0.0909632 0.00795825i
\(53\) 5.90884 + 5.90884i 0.811642 + 0.811642i 0.984880 0.173238i \(-0.0554230\pi\)
−0.173238 + 0.984880i \(0.555423\pi\)
\(54\) 5.41025 + 0.378889i 0.736241 + 0.0515603i
\(55\) 1.16721 + 3.72880i 0.157386 + 0.502791i
\(56\) 1.35314 + 1.61261i 0.180821 + 0.215494i
\(57\) −3.35382 + 5.88736i −0.444225 + 0.779800i
\(58\) 4.44432 + 6.34714i 0.583567 + 0.833420i
\(59\) −2.63750 + 0.959971i −0.343373 + 0.124978i −0.507950 0.861387i \(-0.669596\pi\)
0.164577 + 0.986364i \(0.447374\pi\)
\(60\) −1.88382 + 2.98137i −0.243200 + 0.384893i
\(61\) 1.13591 + 6.44205i 0.145438 + 0.824820i 0.967014 + 0.254722i \(0.0819838\pi\)
−0.821576 + 0.570098i \(0.806905\pi\)
\(62\) 4.43943 + 1.18954i 0.563808 + 0.151072i
\(63\) −0.900284 1.87378i −0.113425 0.236073i
\(64\) −6.55640 3.78534i −0.819551 0.473168i
\(65\) 1.19438 1.08991i 0.148145 0.135187i
\(66\) 3.14527 0.293513i 0.387156 0.0361289i
\(67\) 0.978397 + 11.1831i 0.119530 + 1.36624i 0.784853 + 0.619682i \(0.212738\pi\)
−0.665323 + 0.746556i \(0.731706\pi\)
\(68\) −0.242882 2.77616i −0.0294538 0.336659i
\(69\) −5.83610 + 12.7069i −0.702584 + 1.52973i
\(70\) −1.61558 0.0738883i −0.193098 0.00883134i
\(71\) 5.58689 + 3.22559i 0.663042 + 0.382807i 0.793435 0.608655i \(-0.208291\pi\)
−0.130393 + 0.991462i \(0.541624\pi\)
\(72\) 6.51852 + 6.36945i 0.768215 + 0.750647i
\(73\) 8.08612 + 2.16667i 0.946409 + 0.253589i 0.698838 0.715280i \(-0.253701\pi\)
0.247571 + 0.968870i \(0.420368\pi\)
\(74\) −2.00658 11.3799i −0.233261 1.32289i
\(75\) −2.25518 8.36147i −0.260406 0.965499i
\(76\) −3.34729 + 1.21831i −0.383960 + 0.139750i
\(77\) −0.694499 0.991847i −0.0791455 0.113032i
\(78\) −0.660168 1.12833i −0.0747494 0.127758i
\(79\) 1.04738 + 1.24822i 0.117840 + 0.140436i 0.821739 0.569863i \(-0.193004\pi\)
−0.703899 + 0.710300i \(0.748559\pi\)
\(80\) 2.88018 0.901566i 0.322013 0.100798i
\(81\) −4.67907 7.68806i −0.519897 0.854229i
\(82\) 3.11669 + 3.11669i 0.344181 + 0.344181i
\(83\) −1.78607 0.156261i −0.196046 0.0171518i −0.0112903 0.999936i \(-0.503594\pi\)
−0.184756 + 0.982784i \(0.559149\pi\)
\(84\) 0.276752 1.05727i 0.0301961 0.115358i
\(85\) 5.42053 + 4.17718i 0.587940 + 0.453078i
\(86\) 2.31528 + 6.36117i 0.249663 + 0.685942i
\(87\) 4.32778 12.1079i 0.463987 1.29810i
\(88\) 4.34834 + 3.04474i 0.463535 + 0.324571i
\(89\) −2.78132 4.81739i −0.294820 0.510643i 0.680123 0.733098i \(-0.261926\pi\)
−0.974943 + 0.222455i \(0.928593\pi\)
\(90\) −6.99183 + 0.371820i −0.737003 + 0.0391933i
\(91\) −0.250538 + 0.433944i −0.0262635 + 0.0454897i
\(92\) −6.66246 + 3.10676i −0.694610 + 0.323902i
\(93\) −2.64995 7.15171i −0.274787 0.741598i
\(94\) 2.72350 3.24574i 0.280907 0.334772i
\(95\) 3.36417 8.07451i 0.345156 0.828427i
\(96\) 0.751097 + 8.04871i 0.0766585 + 0.821468i
\(97\) −1.95866 4.20036i −0.198872 0.426482i 0.781429 0.623995i \(-0.214491\pi\)
−0.980300 + 0.197513i \(0.936714\pi\)
\(98\) −6.57321 + 1.76129i −0.663995 + 0.177917i
\(99\) −3.41576 3.97642i −0.343297 0.399646i
\(100\) 1.94120 4.11833i 0.194120 0.411833i
\(101\) 11.1359 1.96356i 1.10806 0.195381i 0.410469 0.911875i \(-0.365365\pi\)
0.697594 + 0.716493i \(0.254254\pi\)
\(102\) 4.21769 3.58083i 0.417613 0.354555i
\(103\) −2.08661 + 4.47475i −0.205600 + 0.440911i −0.981887 0.189470i \(-0.939323\pi\)
0.776287 + 0.630380i \(0.217101\pi\)
\(104\) 0.381463 2.16339i 0.0374055 0.212137i
\(105\) 1.45038 + 2.25809i 0.141542 + 0.220367i
\(106\) −6.68142 + 5.60638i −0.648957 + 0.544540i
\(107\) 11.1511 11.1511i 1.07801 1.07801i 0.0813251 0.996688i \(-0.474085\pi\)
0.996688 0.0813251i \(-0.0259152\pi\)
\(108\) 0.740660 4.67318i 0.0712700 0.449677i
\(109\) 20.3152i 1.94584i 0.231133 + 0.972922i \(0.425757\pi\)
−0.231133 + 0.972922i \(0.574243\pi\)
\(110\) −3.98331 + 0.874433i −0.379794 + 0.0833739i
\(111\) −13.4806 + 13.6374i −1.27952 + 1.29441i
\(112\) −0.766117 + 0.536441i −0.0723912 + 0.0506889i
\(113\) −0.110679 0.0516106i −0.0104118 0.00485512i 0.417405 0.908720i \(-0.362940\pi\)
−0.427817 + 0.903865i \(0.640717\pi\)
\(114\) −5.81647 4.02281i −0.544763 0.376771i
\(115\) 5.46397 17.2052i 0.509518 1.60440i
\(116\) 5.85416 3.37990i 0.543545 0.313816i
\(117\) −0.894000 + 1.97656i −0.0826503 + 0.182733i
\(118\) −0.758229 2.82975i −0.0698006 0.260500i
\(119\) −1.99281 0.725323i −0.182681 0.0664903i
\(120\) −9.36100 7.12788i −0.854538 0.650683i
\(121\) 6.08755 + 5.10806i 0.553414 + 0.464369i
\(122\) −6.80165 + 0.595068i −0.615793 + 0.0538749i
\(123\) 1.22844 7.21039i 0.110764 0.650139i
\(124\) 1.37137 3.76782i 0.123153 0.338360i
\(125\) 4.21431 + 10.3557i 0.376939 + 0.926238i
\(126\) 2.03021 0.765643i 0.180866 0.0682089i
\(127\) 4.29687 16.0361i 0.381286 1.42298i −0.462654 0.886539i \(-0.653103\pi\)
0.843939 0.536439i \(-0.180231\pi\)
\(128\) −0.821539 + 1.17328i −0.0726144 + 0.103704i
\(129\) 6.38993 9.23903i 0.562602 0.813451i
\(130\) 1.02462 + 1.34104i 0.0898647 + 0.117617i
\(131\) −22.1825 3.91138i −1.93810 0.341739i −0.938109 0.346341i \(-0.887424\pi\)
−0.999989 + 0.00460251i \(0.998535\pi\)
\(132\) −0.0159371 2.75584i −0.00138714 0.239865i
\(133\) −0.236256 + 2.70042i −0.0204860 + 0.234156i
\(134\) −11.7170 −1.01220
\(135\) 7.21318 + 9.10879i 0.620812 + 0.783960i
\(136\) 9.29735 0.797241
\(137\) −0.454409 + 5.19392i −0.0388228 + 0.443747i 0.951761 + 0.306840i \(0.0992716\pi\)
−0.990584 + 0.136907i \(0.956284\pi\)
\(138\) −12.6815 7.22420i −1.07952 0.614965i
\(139\) −12.7974 2.25653i −1.08546 0.191396i −0.397833 0.917458i \(-0.630238\pi\)
−0.687630 + 0.726061i \(0.741349\pi\)
\(140\) −0.187057 + 1.39846i −0.0158092 + 0.118192i
\(141\) −7.00776 0.572284i −0.590160 0.0481950i
\(142\) −3.86214 + 5.51571i −0.324104 + 0.462868i
\(143\) −0.327027 + 1.22048i −0.0273474 + 0.102062i
\(144\) −3.07144 + 2.63838i −0.255954 + 0.219865i
\(145\) −3.62638 + 16.1988i −0.301154 + 1.34523i
\(146\) −2.98845 + 8.21069i −0.247326 + 0.679522i
\(147\) 8.69252 + 7.20864i 0.716947 + 0.594559i
\(148\) −10.0427 + 0.878625i −0.825507 + 0.0722225i
\(149\) 8.70742 + 7.30639i 0.713340 + 0.598563i 0.925534 0.378664i \(-0.123617\pi\)
−0.212194 + 0.977227i \(0.568061\pi\)
\(150\) 8.89925 1.58426i 0.726621 0.129354i
\(151\) −8.54652 3.11068i −0.695506 0.253143i −0.0300149 0.999549i \(-0.509555\pi\)
−0.665491 + 0.746406i \(0.731778\pi\)
\(152\) −3.07583 11.4792i −0.249483 0.931083i
\(153\) −8.89532 2.27356i −0.719144 0.183806i
\(154\) 1.09448 0.631900i 0.0881959 0.0509199i
\(155\) 4.52841 + 8.74312i 0.363730 + 0.702265i
\(156\) −1.03081 + 0.487953i −0.0825311 + 0.0390675i
\(157\) 3.03444 + 1.41498i 0.242175 + 0.112928i 0.539917 0.841718i \(-0.318456\pi\)
−0.297742 + 0.954646i \(0.596233\pi\)
\(158\) −1.39316 + 0.975501i −0.110834 + 0.0776067i
\(159\) 14.0019 + 3.66515i 1.11042 + 0.290665i
\(160\) −2.23767 10.1933i −0.176903 0.805849i
\(161\) 5.59421i 0.440886i
\(162\) 8.41955 4.16584i 0.661502 0.327299i
\(163\) 9.97670 9.97670i 0.781435 0.781435i −0.198638 0.980073i \(-0.563652\pi\)
0.980073 + 0.198638i \(0.0636517\pi\)
\(164\) 2.94567 2.47171i 0.230018 0.193008i
\(165\) 5.00646 + 4.55349i 0.389752 + 0.354489i
\(166\) 0.324953 1.84290i 0.0252213 0.143037i
\(167\) 5.88249 12.6150i 0.455201 0.976182i −0.536049 0.844187i \(-0.680084\pi\)
0.991250 0.131995i \(-0.0421383\pi\)
\(168\) 3.43343 + 1.22723i 0.264895 + 0.0946826i
\(169\) −12.2876 + 2.16663i −0.945196 + 0.166664i
\(170\) −4.83645 + 5.25618i −0.370939 + 0.403130i
\(171\) 0.135731 + 11.7350i 0.0103796 + 0.897394i
\(172\) 5.70447 1.52851i 0.434962 0.116548i
\(173\) 1.31470 + 2.81939i 0.0999551 + 0.214354i 0.949926 0.312476i \(-0.101158\pi\)
−0.849971 + 0.526830i \(0.823380\pi\)
\(174\) 12.1959 + 5.60139i 0.924565 + 0.424640i
\(175\) −2.21607 2.66333i −0.167519 0.201329i
\(176\) −1.51594 + 1.80663i −0.114268 + 0.136180i
\(177\) −3.10330 + 3.74211i −0.233258 + 0.281274i
\(178\) 5.26205 2.45373i 0.394407 0.183915i
\(179\) −2.53650 + 4.39334i −0.189587 + 0.328374i −0.945113 0.326745i \(-0.894048\pi\)
0.755526 + 0.655119i \(0.227381\pi\)
\(180\) −0.208482 + 6.10480i −0.0155393 + 0.455025i
\(181\) −4.66805 8.08530i −0.346974 0.600976i 0.638737 0.769425i \(-0.279457\pi\)
−0.985710 + 0.168449i \(0.946124\pi\)
\(182\) −0.428416 0.299980i −0.0317563 0.0222360i
\(183\) 7.33291 + 8.63709i 0.542064 + 0.638472i
\(184\) −8.38822 23.0464i −0.618388 1.69901i
\(185\) 15.1109 19.6087i 1.11098 1.44166i
\(186\) 7.67728 2.10478i 0.562925 0.154330i
\(187\) −5.32731 0.466079i −0.389572 0.0340831i
\(188\) −2.61375 2.61375i −0.190628 0.190628i
\(189\) −2.98486 2.01377i −0.217117 0.146480i
\(190\) 8.08968 + 4.23253i 0.586887 + 0.307060i
\(191\) 0.729528 + 0.869417i 0.0527868 + 0.0629088i 0.791792 0.610791i \(-0.209148\pi\)
−0.739005 + 0.673700i \(0.764704\pi\)
\(192\) −13.1126 + 0.0758304i −0.946320 + 0.00547259i
\(193\) −7.90607 11.2910i −0.569091 0.812746i 0.426701 0.904393i \(-0.359676\pi\)
−0.995792 + 0.0916467i \(0.970787\pi\)
\(194\) 4.54563 1.65447i 0.326357 0.118784i
\(195\) 0.832233 2.67409i 0.0595974 0.191495i
\(196\) 1.03092 + 5.84663i 0.0736371 + 0.417617i
\(197\) 1.93314 + 0.517983i 0.137730 + 0.0369048i 0.327026 0.945015i \(-0.393954\pi\)
−0.189295 + 0.981920i \(0.560620\pi\)
\(198\) 4.44534 3.18991i 0.315916 0.226697i
\(199\) −16.0030 9.23931i −1.13442 0.654957i −0.189377 0.981905i \(-0.560647\pi\)
−0.945043 + 0.326947i \(0.893980\pi\)
\(200\) 13.1231 + 7.64921i 0.927940 + 0.540881i
\(201\) 11.2444 + 15.8626i 0.793118 + 1.11886i
\(202\) 1.02865 + 11.7575i 0.0723755 + 0.827256i
\(203\) −0.448343 5.12458i −0.0314675 0.359675i
\(204\) −2.79136 3.93782i −0.195435 0.275702i
\(205\) −0.431411 + 9.43285i −0.0301311 + 0.658819i
\(206\) −4.46295 2.57668i −0.310948 0.179526i
\(207\) 2.38976 + 24.1011i 0.166100 + 1.67515i
\(208\) 0.942717 + 0.252600i 0.0653656 + 0.0175147i
\(209\) 1.18697 + 6.73167i 0.0821047 + 0.465639i
\(210\) −2.47986 + 1.30266i −0.171127 + 0.0898920i
\(211\) 15.7638 5.73754i 1.08522 0.394989i 0.263374 0.964694i \(-0.415165\pi\)
0.821849 + 0.569705i \(0.192943\pi\)
\(212\) 4.36442 + 6.23304i 0.299750 + 0.428087i
\(213\) 11.1736 0.0646171i 0.765602 0.00442749i
\(214\) 10.5803 + 12.6091i 0.723251 + 0.861937i
\(215\) −6.72305 + 12.8498i −0.458508 + 0.876352i
\(216\) 15.3162 + 3.82046i 1.04214 + 0.259950i
\(217\) −2.15759 2.15759i −0.146467 0.146467i
\(218\) −21.1234 1.84806i −1.43066 0.125166i
\(219\) 13.9836 3.83371i 0.944926 0.259058i
\(220\) 0.457088 + 3.52835i 0.0308168 + 0.237881i
\(221\) 0.756900 + 2.07957i 0.0509146 + 0.139887i
\(222\) −12.9536 15.2574i −0.869389 1.02401i
\(223\) −16.4615 11.5264i −1.10234 0.771868i −0.126854 0.991921i \(-0.540488\pi\)
−0.975488 + 0.220054i \(0.929377\pi\)
\(224\) 1.61703 + 2.80077i 0.108042 + 0.187134i
\(225\) −10.6851 10.5275i −0.712338 0.701836i
\(226\) 0.0637321 0.110387i 0.00423940 0.00734285i
\(227\) −4.22414 + 1.96975i −0.280366 + 0.130737i −0.557715 0.830032i \(-0.688322\pi\)
0.277349 + 0.960769i \(0.410544\pi\)
\(228\) −3.93844 + 4.74916i −0.260830 + 0.314521i
\(229\) 15.6103 18.6036i 1.03156 1.22936i 0.0586205 0.998280i \(-0.481330\pi\)
0.972935 0.231080i \(-0.0742258\pi\)
\(230\) 17.3926 + 7.24648i 1.14684 + 0.477819i
\(231\) −1.90581 0.875311i −0.125393 0.0575912i
\(232\) 9.53106 + 20.4394i 0.625745 + 1.34191i
\(233\) 6.84167 1.83322i 0.448213 0.120098i −0.0276501 0.999618i \(-0.508802\pi\)
0.475863 + 0.879519i \(0.342136\pi\)
\(234\) −1.97386 1.10937i −0.129035 0.0725218i
\(235\) 9.06925 0.377166i 0.591613 0.0246036i
\(236\) −2.51696 + 0.443808i −0.163840 + 0.0288894i
\(237\) 2.65761 + 0.949922i 0.172630 + 0.0617041i
\(238\) 0.935462 2.00610i 0.0606370 0.130036i
\(239\) −2.01666 + 11.4370i −0.130447 + 0.739799i 0.847476 + 0.530833i \(0.178121\pi\)
−0.977923 + 0.208966i \(0.932990\pi\)
\(240\) 3.51718 3.86706i 0.227033 0.249618i
\(241\) 8.02324 6.73230i 0.516822 0.433665i −0.346700 0.937976i \(-0.612698\pi\)
0.863522 + 0.504311i \(0.168253\pi\)
\(242\) −5.86505 + 5.86505i −0.377020 + 0.377020i
\(243\) −13.7197 7.40068i −0.880119 0.474754i
\(244\) 5.95649i 0.381325i
\(245\) −12.2794 7.85861i −0.784501 0.502068i
\(246\) 7.38548 + 1.93323i 0.470881 + 0.123258i
\(247\) 2.31717 1.62250i 0.147438 0.103237i
\(248\) 12.1238 + 5.65342i 0.769862 + 0.358993i
\(249\) −2.80679 + 1.32864i −0.177873 + 0.0841992i
\(250\) −11.1510 + 3.43991i −0.705250 + 0.217559i
\(251\) −9.75413 + 5.63155i −0.615675 + 0.355460i −0.775183 0.631736i \(-0.782343\pi\)
0.159508 + 0.987197i \(0.449009\pi\)
\(252\) −0.511044 1.82265i −0.0321928 0.114816i
\(253\) 3.65106 + 13.6259i 0.229540 + 0.856656i
\(254\) 16.2832 + 5.92660i 1.02170 + 0.371868i
\(255\) 11.7572 + 1.50348i 0.736267 + 0.0941515i
\(256\) −12.7442 10.6936i −0.796511 0.668352i
\(257\) −19.7620 + 1.72895i −1.23272 + 0.107849i −0.684832 0.728701i \(-0.740124\pi\)
−0.547890 + 0.836551i \(0.684569\pi\)
\(258\) 9.02528 + 7.48459i 0.561889 + 0.465970i
\(259\) −2.62385 + 7.20897i −0.163038 + 0.447944i
\(260\) 1.24339 0.788516i 0.0771121 0.0489017i
\(261\) −4.12070 21.8863i −0.255065 1.35473i
\(262\) 6.08491 22.7092i 0.375927 1.40298i
\(263\) −9.68085 + 13.8257i −0.596947 + 0.852529i −0.997980 0.0635351i \(-0.979763\pi\)
0.401033 + 0.916064i \(0.368651\pi\)
\(264\) 9.16382 + 0.748357i 0.563994 + 0.0460582i
\(265\) −18.5205 2.47727i −1.13770 0.152178i
\(266\) −2.78635 0.491310i −0.170842 0.0301241i
\(267\) −8.37169 4.76906i −0.512339 0.291862i
\(268\) −0.890909 + 10.1831i −0.0544209 + 0.622034i
\(269\) −30.5994 −1.86568 −0.932838 0.360296i \(-0.882676\pi\)
−0.932838 + 0.360296i \(0.882676\pi\)
\(270\) −10.1273 + 6.67151i −0.616329 + 0.406015i
\(271\) −5.21670 −0.316892 −0.158446 0.987368i \(-0.550648\pi\)
−0.158446 + 0.987368i \(0.550648\pi\)
\(272\) −0.360006 + 4.11489i −0.0218286 + 0.249502i
\(273\) 0.00501894 + 0.867874i 0.000303760 + 0.0525262i
\(274\) −5.35921 0.944973i −0.323761 0.0570879i
\(275\) −7.13596 5.04080i −0.430314 0.303972i
\(276\) −7.24272 + 10.4721i −0.435961 + 0.630344i
\(277\) 6.69422 9.56033i 0.402216 0.574425i −0.566042 0.824377i \(-0.691526\pi\)
0.968258 + 0.249952i \(0.0804148\pi\)
\(278\) 3.51047 13.1012i 0.210544 0.785760i
\(279\) −10.2171 8.37370i −0.611681 0.501320i
\(280\) −4.59348 1.02833i −0.274513 0.0614545i
\(281\) 4.68215 12.8641i 0.279313 0.767407i −0.718127 0.695912i \(-0.755001\pi\)
0.997441 0.0714958i \(-0.0227772\pi\)
\(282\) 1.23254 7.23447i 0.0733966 0.430807i
\(283\) 8.84093 0.773481i 0.525539 0.0459787i 0.178700 0.983904i \(-0.442811\pi\)
0.346838 + 0.937925i \(0.387255\pi\)
\(284\) 4.49999 + 3.77594i 0.267025 + 0.224061i
\(285\) −2.03333 15.0137i −0.120444 0.889335i
\(286\) −1.23928 0.451062i −0.0732804 0.0266719i
\(287\) −0.757366 2.82653i −0.0447059 0.166845i
\(288\) 8.16295 + 11.3756i 0.481007 + 0.670313i
\(289\) 6.61106 3.81690i 0.388886 0.224524i
\(290\) −16.5133 5.24422i −0.969694 0.307951i
\(291\) −6.60212 4.56619i −0.387023 0.267675i
\(292\) 6.90860 + 3.22153i 0.404295 + 0.188526i
\(293\) 9.25201 6.47833i 0.540508 0.378468i −0.271207 0.962521i \(-0.587423\pi\)
0.811716 + 0.584053i \(0.198534\pi\)
\(294\) −8.28616 + 8.38256i −0.483259 + 0.488881i
\(295\) 3.38311 5.28624i 0.196972 0.307777i
\(296\) 33.6331i 1.95488i
\(297\) −8.58457 2.95691i −0.498127 0.171577i
\(298\) −8.38915 + 8.38915i −0.485971 + 0.485971i
\(299\) 4.47198 3.75244i 0.258621 0.217009i
\(300\) −0.700205 7.85471i −0.0404264 0.453492i
\(301\) 0.780408 4.42591i 0.0449820 0.255105i
\(302\) 4.01189 8.60353i 0.230858 0.495078i
\(303\) 14.9303 12.6759i 0.857723 0.728209i
\(304\) 5.19963 0.916835i 0.298219 0.0525841i
\(305\) −10.7637 9.90421i −0.616330 0.567114i
\(306\) 3.17320 9.04236i 0.181400 0.516917i
\(307\) −8.24213 + 2.20847i −0.470403 + 0.126044i −0.486230 0.873831i \(-0.661628\pi\)
0.0158274 + 0.999875i \(0.494962\pi\)
\(308\) −0.465958 0.999250i −0.0265504 0.0569376i
\(309\) 0.794586 + 8.51474i 0.0452024 + 0.484386i
\(310\) −9.50288 + 3.91320i −0.539727 + 0.222255i
\(311\) −9.40563 + 11.2092i −0.533344 + 0.635615i −0.963682 0.267053i \(-0.913950\pi\)
0.430338 + 0.902668i \(0.358394\pi\)
\(312\) −1.32201 3.56785i −0.0748439 0.201990i
\(313\) −8.45186 + 3.94117i −0.477727 + 0.222768i −0.646540 0.762880i \(-0.723785\pi\)
0.168812 + 0.985648i \(0.446007\pi\)
\(314\) −1.74731 + 3.02644i −0.0986067 + 0.170792i
\(315\) 4.14339 + 2.10715i 0.233453 + 0.118724i
\(316\) 0.741868 + 1.28495i 0.0417333 + 0.0722843i
\(317\) 19.3542 + 13.5519i 1.08704 + 0.761152i 0.972648 0.232283i \(-0.0746197\pi\)
0.114390 + 0.993436i \(0.463509\pi\)
\(318\) −5.08469 + 14.2255i −0.285135 + 0.797726i
\(319\) −4.43659 12.1894i −0.248402 0.682478i
\(320\) 16.7883 2.17488i 0.938493 0.121579i
\(321\) 6.91679 26.4241i 0.386058 1.47485i
\(322\) −5.81676 0.508900i −0.324155 0.0283599i
\(323\) 8.46556 + 8.46556i 0.471036 + 0.471036i
\(324\) −2.98030 7.63410i −0.165572 0.424116i
\(325\) −0.642570 + 3.55800i −0.0356434 + 0.197362i
\(326\) 9.46601 + 11.2812i 0.524274 + 0.624805i
\(327\) 17.7694 + 30.3706i 0.982651 + 1.67950i
\(328\) 7.35834 + 10.5088i 0.406297 + 0.580252i
\(329\) −2.64330 + 0.962081i −0.145730 + 0.0530413i
\(330\) −5.19007 + 4.79140i −0.285704 + 0.263758i
\(331\) 4.01625 + 22.7773i 0.220753 + 1.25195i 0.870639 + 0.491922i \(0.163705\pi\)
−0.649886 + 0.760032i \(0.725183\pi\)
\(332\) −1.57694 0.422540i −0.0865458 0.0231899i
\(333\) −8.22459 + 32.1788i −0.450705 + 1.76338i
\(334\) 12.5818 + 7.26408i 0.688443 + 0.397473i
\(335\) −16.9202 18.5420i −0.924447 1.01306i
\(336\) −0.676102 + 1.47207i −0.0368844 + 0.0803081i
\(337\) −1.08633 12.4168i −0.0591760 0.676384i −0.966621 0.256212i \(-0.917525\pi\)
0.907445 0.420172i \(-0.138030\pi\)
\(338\) −1.13503 12.9735i −0.0617375 0.705663i
\(339\) −0.210605 + 0.0196534i −0.0114385 + 0.00106743i
\(340\) 4.20035 + 4.60297i 0.227796 + 0.249631i
\(341\) −6.66344 3.84714i −0.360846 0.208334i
\(342\) −12.2141 0.926386i −0.660464 0.0500932i
\(343\) 9.04926 + 2.42474i 0.488614 + 0.130924i
\(344\) 3.42137 + 19.4036i 0.184468 + 1.04617i
\(345\) −6.88072 30.5005i −0.370445 1.64209i
\(346\) −3.05115 + 1.11053i −0.164031 + 0.0597023i
\(347\) 6.55983 + 9.36840i 0.352150 + 0.502922i 0.955676 0.294421i \(-0.0951269\pi\)
−0.603526 + 0.797343i \(0.706238\pi\)
\(348\) 5.79543 10.1734i 0.310667 0.545351i
\(349\) 15.6113 + 18.6048i 0.835652 + 0.995891i 0.999955 + 0.00948135i \(0.00301805\pi\)
−0.164303 + 0.986410i \(0.552538\pi\)
\(350\) 2.97087 2.06195i 0.158800 0.110216i
\(351\) 0.392365 + 3.73686i 0.0209429 + 0.199459i
\(352\) 5.76654 + 5.76654i 0.307358 + 0.307358i
\(353\) 33.3825 + 2.92059i 1.77677 + 0.155447i 0.927822 0.373024i \(-0.121679\pi\)
0.848951 + 0.528472i \(0.177235\pi\)
\(354\) −3.60867 3.56717i −0.191799 0.189593i
\(355\) −14.3057 + 1.85327i −0.759270 + 0.0983614i
\(356\) −1.73241 4.75976i −0.0918177 0.252267i
\(357\) −3.61361 + 0.658747i −0.191253 + 0.0348646i
\(358\) −4.33737 3.03706i −0.229237 0.160514i
\(359\) −9.34241 16.1815i −0.493073 0.854028i 0.506895 0.862008i \(-0.330793\pi\)
−0.999968 + 0.00797981i \(0.997460\pi\)
\(360\) −20.2290 2.46802i −1.06616 0.130076i
\(361\) −1.84847 + 3.20165i −0.0972881 + 0.168508i
\(362\) 8.83159 4.11824i 0.464178 0.216450i
\(363\) 13.5686 + 2.31169i 0.712169 + 0.121332i
\(364\) −0.293285 + 0.349523i −0.0153723 + 0.0183200i
\(365\) −17.3088 + 7.12762i −0.905986 + 0.373077i
\(366\) −9.64775 + 6.83891i −0.504296 + 0.357476i
\(367\) −3.00914 6.45312i −0.157076 0.336850i 0.811983 0.583682i \(-0.198388\pi\)
−0.969058 + 0.246831i \(0.920611\pi\)
\(368\) 10.5249 2.82013i 0.548647 0.147009i
\(369\) −4.47035 11.8538i −0.232717 0.617084i
\(370\) 19.0142 + 17.4958i 0.988500 + 0.909565i
\(371\) 5.70252 1.00551i 0.296060 0.0522034i
\(372\) −1.24550 6.83228i −0.0645760 0.354237i
\(373\) −4.36650 + 9.36399i −0.226089 + 0.484849i −0.986328 0.164794i \(-0.947304\pi\)
0.760239 + 0.649643i \(0.225082\pi\)
\(374\) 0.969241 5.49684i 0.0501183 0.284235i
\(375\) 15.3582 + 11.7952i 0.793093 + 0.609100i
\(376\) 9.44698 7.92696i 0.487191 0.408802i
\(377\) −3.79582 + 3.79582i −0.195495 + 0.195495i
\(378\) 2.36541 2.92041i 0.121663 0.150210i
\(379\) 5.45309i 0.280106i −0.990144 0.140053i \(-0.955273\pi\)
0.990144 0.140053i \(-0.0447273\pi\)
\(380\) 4.29355 6.70884i 0.220254 0.344156i
\(381\) −7.60290 27.7319i −0.389508 1.42075i
\(382\) −0.970368 + 0.679459i −0.0496483 + 0.0347641i
\(383\) 4.05128 + 1.88914i 0.207011 + 0.0965307i 0.523359 0.852113i \(-0.324679\pi\)
−0.316348 + 0.948643i \(0.602457\pi\)
\(384\) −0.201923 + 2.47260i −0.0103044 + 0.126179i
\(385\) 2.58048 + 0.819498i 0.131513 + 0.0417655i
\(386\) 12.4594 7.19344i 0.634167 0.366137i
\(387\) 1.47149 19.4012i 0.0748003 0.986219i
\(388\) −1.09226 4.07636i −0.0554510 0.206946i
\(389\) 9.10172 + 3.31276i 0.461476 + 0.167963i 0.562287 0.826942i \(-0.309922\pi\)
−0.100811 + 0.994906i \(0.532144\pi\)
\(390\) 2.70476 + 1.10860i 0.136961 + 0.0561361i
\(391\) 18.9268 + 15.8814i 0.957168 + 0.803159i
\(392\) −19.7314 + 1.72627i −0.996586 + 0.0871899i
\(393\) −36.5834 + 13.5554i −1.84539 + 0.683778i
\(394\) −0.714445 + 1.96292i −0.0359932 + 0.0988906i
\(395\) −3.55553 0.795968i −0.178898 0.0400495i
\(396\) −2.43432 4.10595i −0.122329 0.206332i
\(397\) 0.263053 0.981728i 0.0132023 0.0492715i −0.959010 0.283371i \(-0.908547\pi\)
0.972213 + 0.234099i \(0.0752140\pi\)
\(398\) 11.0626 15.7991i 0.554520 0.791936i
\(399\) 2.00882 + 4.24369i 0.100567 + 0.212450i
\(400\) −3.89359 + 5.51191i −0.194679 + 0.275596i
\(401\) 8.07342 + 1.42356i 0.403168 + 0.0710893i 0.371555 0.928411i \(-0.378825\pi\)
0.0316124 + 0.999500i \(0.489936\pi\)
\(402\) −17.5165 + 10.2487i −0.873646 + 0.511159i
\(403\) −0.277515 + 3.17202i −0.0138240 + 0.158009i
\(404\) 10.2965 0.512272
\(405\) 18.7508 + 7.30808i 0.931734 + 0.363141i
\(406\) 5.36923 0.266470
\(407\) −1.68604 + 19.2715i −0.0835738 + 0.955253i
\(408\) 13.8992 8.13225i 0.688114 0.402606i
\(409\) 28.0740 + 4.95021i 1.38817 + 0.244772i 0.817274 0.576249i \(-0.195484\pi\)
0.570897 + 0.821021i \(0.306595\pi\)
\(410\) −9.76885 1.30667i −0.482449 0.0645318i
\(411\) 3.86372 + 8.16221i 0.190583 + 0.402612i
\(412\) −2.57871 + 3.68278i −0.127044 + 0.181438i
\(413\) −0.503386 + 1.87866i −0.0247700 + 0.0924429i
\(414\) −25.2773 + 0.292368i −1.24231 + 0.0143691i
\(415\) 3.38562 2.14704i 0.166194 0.105394i
\(416\) 1.15426 3.17132i 0.0565925 0.155487i
\(417\) −21.1055 + 7.82028i −1.03354 + 0.382961i
\(418\) −7.10744 + 0.621820i −0.347636 + 0.0304142i
\(419\) 19.6956 + 16.5265i 0.962192 + 0.807375i 0.981308 0.192443i \(-0.0616409\pi\)
−0.0191165 + 0.999817i \(0.506085\pi\)
\(420\) 0.943571 + 2.25427i 0.0460415 + 0.109997i
\(421\) −12.0396 4.38206i −0.586775 0.213569i 0.0315356 0.999503i \(-0.489960\pi\)
−0.618310 + 0.785934i \(0.712182\pi\)
\(422\) 4.53177 + 16.9128i 0.220603 + 0.823303i
\(423\) −10.9769 + 5.27404i −0.533717 + 0.256432i
\(424\) −21.9849 + 12.6930i −1.06768 + 0.616427i
\(425\) −15.3020 0.0633475i −0.742256 0.00307281i
\(426\) −0.949263 + 11.6240i −0.0459920 + 0.563183i
\(427\) 4.10815 + 1.91566i 0.198807 + 0.0927054i
\(428\) 11.7629 8.23645i 0.568580 0.398124i
\(429\) 0.578643 + 2.11062i 0.0279371 + 0.101902i
\(430\) −12.7494 8.15944i −0.614833 0.393483i
\(431\) 5.16823i 0.248945i 0.992223 + 0.124473i \(0.0397239\pi\)
−0.992223 + 0.124473i \(0.960276\pi\)
\(432\) −2.28396 + 6.63084i −0.109887 + 0.319026i
\(433\) −2.74947 + 2.74947i −0.132131 + 0.132131i −0.770079 0.637948i \(-0.779783\pi\)
0.637948 + 0.770079i \(0.279783\pi\)
\(434\) 2.43970 2.04715i 0.117109 0.0982663i
\(435\) 8.74752 + 27.3886i 0.419411 + 1.31318i
\(436\) −3.21225 + 18.2176i −0.153839 + 0.872464i
\(437\) 13.3468 28.6224i 0.638465 1.36919i
\(438\) 2.71414 + 14.8887i 0.129687 + 0.711408i
\(439\) 31.6512 5.58095i 1.51063 0.266364i 0.643886 0.765122i \(-0.277321\pi\)
0.866742 + 0.498757i \(0.166210\pi\)
\(440\) −11.8596 + 0.493207i −0.565383 + 0.0235127i
\(441\) 19.3003 + 3.17346i 0.919063 + 0.151117i
\(442\) −2.23115 + 0.597834i −0.106125 + 0.0284361i
\(443\) −6.48333 13.9035i −0.308032 0.660577i 0.689965 0.723843i \(-0.257626\pi\)
−0.997997 + 0.0632661i \(0.979848\pi\)
\(444\) −14.2450 + 10.0977i −0.676039 + 0.479218i
\(445\) 11.4818 + 4.78377i 0.544288 + 0.226772i
\(446\) 13.4825 16.0678i 0.638413 0.760831i
\(447\) 19.4081 + 3.30656i 0.917972 + 0.156395i
\(448\) −4.75455 + 2.21708i −0.224631 + 0.104747i
\(449\) 1.37821 2.38713i 0.0650416 0.112655i −0.831671 0.555269i \(-0.812615\pi\)
0.896712 + 0.442614i \(0.145949\pi\)
\(450\) 11.9184 10.1525i 0.561837 0.478591i
\(451\) −3.68947 6.39034i −0.173730 0.300910i
\(452\) −0.0910905 0.0637823i −0.00428454 0.00300007i
\(453\) −15.4976 + 2.82515i −0.728142 + 0.132737i
\(454\) −1.66384 4.57137i −0.0780879 0.214545i
\(455\) −0.143947 1.11115i −0.00674834 0.0520917i
\(456\) −14.6389 14.4706i −0.685530 0.677647i
\(457\) −34.1536 2.98806i −1.59764 0.139775i −0.746745 0.665111i \(-0.768384\pi\)
−0.850895 + 0.525335i \(0.823940\pi\)
\(458\) 17.9236 + 17.9236i 0.837515 + 0.837515i
\(459\) −15.2869 + 4.38171i −0.713529 + 0.204521i
\(460\) 7.62030 14.5648i 0.355298 0.679086i
\(461\) −1.95614 2.33124i −0.0911067 0.108577i 0.718565 0.695460i \(-0.244799\pi\)
−0.809672 + 0.586883i \(0.800355\pi\)
\(462\) 1.08350 1.90200i 0.0504090 0.0884889i
\(463\) −15.4489 22.0633i −0.717970 1.02537i −0.997863 0.0653361i \(-0.979188\pi\)
0.279894 0.960031i \(-0.409701\pi\)
\(464\) −9.41529 + 3.42689i −0.437094 + 0.159089i
\(465\) 14.4173 + 9.10975i 0.668586 + 0.422455i
\(466\) 1.28377 + 7.28061i 0.0594694 + 0.337268i
\(467\) 16.6209 + 4.45355i 0.769122 + 0.206086i 0.621983 0.783030i \(-0.286327\pi\)
0.147138 + 0.989116i \(0.452994\pi\)
\(468\) −1.11423 + 1.63111i −0.0515051 + 0.0753981i
\(469\) 6.73671 + 3.88944i 0.311073 + 0.179598i
\(470\) −0.432852 + 9.46435i −0.0199660 + 0.436558i
\(471\) 5.77406 0.538829i 0.266055 0.0248279i
\(472\) −0.743156 8.49431i −0.0342065 0.390982i
\(473\) −0.987714 11.2896i −0.0454152 0.519098i
\(474\) −1.22947 + 2.67692i −0.0564715 + 0.122955i
\(475\) 4.98413 + 18.9139i 0.228688 + 0.867828i
\(476\) −1.67236 0.965535i −0.0766523 0.0442552i
\(477\) 24.1382 6.76799i 1.10521 0.309885i
\(478\) −11.7085 3.13729i −0.535536 0.143497i
\(479\) −6.03903 34.2490i −0.275930 1.56488i −0.735991 0.676991i \(-0.763283\pi\)
0.460061 0.887888i \(-0.347828\pi\)
\(480\) −12.2611 13.2813i −0.559642 0.606207i
\(481\) 7.52282 2.73808i 0.343011 0.124846i
\(482\) 6.27025 + 8.95484i 0.285602 + 0.407882i
\(483\) 4.89318 + 8.36316i 0.222647 + 0.380537i
\(484\) 4.65130 + 5.54320i 0.211423 + 0.251964i
\(485\) 9.18238 + 4.80423i 0.416951 + 0.218149i
\(486\) 8.94315 13.5922i 0.405670 0.616557i
\(487\) −10.1713 10.1713i −0.460908 0.460908i 0.438045 0.898953i \(-0.355671\pi\)
−0.898953 + 0.438045i \(0.855671\pi\)
\(488\) −19.7968 1.73199i −0.896157 0.0784036i
\(489\) 6.18836 23.6413i 0.279847 1.06910i
\(490\) 9.28827 12.0530i 0.419601 0.544498i
\(491\) 10.0702 + 27.6677i 0.454462 + 1.24863i 0.929553 + 0.368688i \(0.120193\pi\)
−0.475091 + 0.879937i \(0.657585\pi\)
\(492\) 2.24171 6.27165i 0.101064 0.282748i
\(493\) −18.6107 13.0313i −0.838183 0.586902i
\(494\) 1.47626 + 2.55695i 0.0664199 + 0.115043i
\(495\) 11.4674 + 2.42824i 0.515420 + 0.109141i
\(496\) −2.97158 + 5.14694i −0.133428 + 0.231104i
\(497\) 4.05148 1.88923i 0.181734 0.0847438i
\(498\) −1.12617 3.03931i −0.0504647 0.136195i
\(499\) −11.3613 + 13.5399i −0.508604 + 0.606130i −0.957847 0.287279i \(-0.907249\pi\)
0.449243 + 0.893410i \(0.351694\pi\)
\(500\) 2.14172 + 9.95276i 0.0957807 + 0.445101i
\(501\) −2.24006 24.0044i −0.100079 1.07244i
\(502\) −4.96826 10.6545i −0.221744 0.475532i
\(503\) −12.5537 + 3.36375i −0.559742 + 0.149982i −0.527588 0.849501i \(-0.676903\pi\)
−0.0321541 + 0.999483i \(0.510237\pi\)
\(504\) 6.20630 1.16851i 0.276450 0.0520494i
\(505\) −17.1207 + 18.6065i −0.761860 + 0.827977i
\(506\) −14.5001 + 2.55677i −0.644610 + 0.113662i
\(507\) −16.4744 + 13.9868i −0.731652 + 0.621175i
\(508\) 6.38885 13.7009i 0.283459 0.607880i
\(509\) 0.0644329 0.365417i 0.00285594 0.0161968i −0.983346 0.181741i \(-0.941827\pi\)
0.986202 + 0.165544i \(0.0529380\pi\)
\(510\) −2.63283 + 12.0882i −0.116584 + 0.535274i
\(511\) 4.44374 3.72874i 0.196579 0.164950i
\(512\) 10.2528 10.2528i 0.453113 0.453113i
\(513\) 10.4673 + 17.4246i 0.462143 + 0.769317i
\(514\) 20.7055i 0.913279i
\(515\) −2.36723 10.7835i −0.104313 0.475176i
\(516\) 7.19103 7.27468i 0.316567 0.320250i
\(517\) −5.81043 + 4.06851i −0.255542 + 0.178933i
\(518\) −7.25707 3.38403i −0.318857 0.148686i
\(519\) 4.43152 + 3.06494i 0.194522 + 0.134536i
\(520\) 2.25913 + 4.36177i 0.0990695 + 0.191276i
\(521\) −2.40696 + 1.38966i −0.105451 + 0.0608820i −0.551798 0.833978i \(-0.686058\pi\)
0.446347 + 0.894860i \(0.352725\pi\)
\(522\) 23.1318 2.29365i 1.01245 0.100390i
\(523\) −3.93462 14.6842i −0.172049 0.642096i −0.997035 0.0769434i \(-0.975484\pi\)
0.824986 0.565153i \(-0.191183\pi\)
\(524\) −19.2736 7.01503i −0.841973 0.306453i
\(525\) −5.64253 2.04322i −0.246260 0.0891734i
\(526\) −13.4950 11.3237i −0.588411 0.493736i
\(527\) −13.4249 + 1.17453i −0.584799 + 0.0511633i
\(528\) −0.686049 + 4.02681i −0.0298565 + 0.175245i
\(529\) 14.4247 39.6316i 0.627162 1.72311i
\(530\) 4.26061 19.0319i 0.185069 0.826691i
\(531\) −1.36617 + 8.30874i −0.0592866 + 0.360569i
\(532\) −0.638854 + 2.38424i −0.0276978 + 0.103370i
\(533\) −1.75149 + 2.50139i −0.0758655 + 0.108347i
\(534\) 5.72034 8.27089i 0.247544 0.357916i
\(535\) −4.67506 + 34.9514i −0.202121 + 1.51108i
\(536\) −33.5852 5.92198i −1.45066 0.255790i
\(537\) 0.0508127 + 8.78654i 0.00219273 + 0.379167i
\(538\) 2.78359 31.8166i 0.120009 1.37171i
\(539\) 11.3925 0.490709
\(540\) 5.02810 + 9.30883i 0.216375 + 0.400588i
\(541\) −16.6575 −0.716163 −0.358081 0.933690i \(-0.616569\pi\)
−0.358081 + 0.933690i \(0.616569\pi\)
\(542\) 0.474558 5.42423i 0.0203840 0.232990i
\(543\) −14.0507 8.00418i −0.602972 0.343492i
\(544\) 14.0664 + 2.48028i 0.603090 + 0.106341i
\(545\) −27.5791 36.0962i −1.18136 1.54619i
\(546\) −0.902856 0.0737311i −0.0386387 0.00315540i
\(547\) −0.222344 + 0.317541i −0.00950676 + 0.0135771i −0.823877 0.566768i \(-0.808194\pi\)
0.814371 + 0.580345i \(0.197082\pi\)
\(548\) −1.22876 + 4.58578i −0.0524899 + 0.195895i
\(549\) 18.5172 + 6.49817i 0.790294 + 0.277335i
\(550\) 5.89048 6.96127i 0.251171 0.296830i
\(551\) −9.93246 + 27.2892i −0.423137 + 1.16256i
\(552\) −32.6985 27.1166i −1.39174 1.15416i
\(553\) 1.12482 0.0984086i 0.0478320 0.00418476i
\(554\) 9.33168 + 7.83021i 0.396465 + 0.332674i
\(555\) 5.43882 42.5317i 0.230865 1.80537i
\(556\) −11.1192 4.04707i −0.471561 0.171634i
\(557\) 3.29185 + 12.2853i 0.139480 + 0.520546i 0.999939 + 0.0110271i \(0.00351010\pi\)
−0.860459 + 0.509519i \(0.829823\pi\)
\(558\) 9.63626 9.86178i 0.407935 0.417482i
\(559\) −4.06152 + 2.34492i −0.171784 + 0.0991797i
\(560\) 0.632992 1.99320i 0.0267488 0.0842280i
\(561\) −8.37183 + 3.96295i −0.353459 + 0.167316i
\(562\) 12.9499 + 6.03864i 0.546259 + 0.254725i
\(563\) −23.9613 + 16.7779i −1.00985 + 0.707102i −0.956578 0.291478i \(-0.905853\pi\)
−0.0532691 + 0.998580i \(0.516964\pi\)
\(564\) −6.19369 1.62126i −0.260801 0.0682675i
\(565\) 0.266720 0.0585514i 0.0112210 0.00246328i
\(566\) 9.26299i 0.389353i
\(567\) −6.22368 0.399701i −0.261370 0.0167859i
\(568\) −13.8580 + 13.8580i −0.581470 + 0.581470i
\(569\) 3.92124 3.29031i 0.164387 0.137937i −0.556884 0.830591i \(-0.688003\pi\)
0.721270 + 0.692654i \(0.243559\pi\)
\(570\) 15.7959 0.748438i 0.661619 0.0313486i
\(571\) 1.16063 6.58228i 0.0485710 0.275460i −0.950844 0.309671i \(-0.899781\pi\)
0.999415 + 0.0342116i \(0.0108920\pi\)
\(572\) −0.486243 + 1.04275i −0.0203309 + 0.0435997i
\(573\) 1.85109 + 0.661643i 0.0773302 + 0.0276405i
\(574\) 3.00787 0.530368i 0.125546 0.0221372i
\(575\) 13.6487 + 37.9880i 0.569190 + 1.58421i
\(576\) −19.5366 + 11.5828i −0.814023 + 0.482615i
\(577\) 44.6435 11.9622i 1.85853 0.497992i 0.858640 0.512580i \(-0.171310\pi\)
0.999894 + 0.0145873i \(0.00464346\pi\)
\(578\) 3.36734 + 7.22128i 0.140063 + 0.300366i
\(579\) −21.6954 9.96440i −0.901630 0.414106i
\(580\) −5.81330 + 13.9528i −0.241384 + 0.579358i
\(581\) −0.798581 + 0.951712i −0.0331307 + 0.0394837i
\(582\) 5.34842 6.44938i 0.221699 0.267335i
\(583\) 13.2335 6.17089i 0.548076 0.255572i
\(584\) −12.7158 + 22.0244i −0.526183 + 0.911376i
\(585\) −1.09482 4.72561i −0.0452654 0.195380i
\(586\) 5.89440 + 10.2094i 0.243495 + 0.421746i
\(587\) 1.45431 + 1.01832i 0.0600260 + 0.0420306i 0.603204 0.797587i \(-0.293890\pi\)
−0.543178 + 0.839617i \(0.682779\pi\)
\(588\) 6.65515 + 7.83879i 0.274454 + 0.323266i
\(589\) 5.89151 + 16.1868i 0.242755 + 0.666965i
\(590\) 5.18877 + 3.99858i 0.213618 + 0.164619i
\(591\) 3.34305 0.916521i 0.137515 0.0377006i
\(592\) 14.8856 + 1.30232i 0.611794 + 0.0535250i
\(593\) −27.8118 27.8118i −1.14209 1.14209i −0.988066 0.154028i \(-0.950775\pi\)
−0.154028 0.988066i \(-0.549225\pi\)
\(594\) 3.85547 8.65708i 0.158192 0.355204i
\(595\) 4.52550 1.41659i 0.185528 0.0580747i
\(596\) 6.65306 + 7.92880i 0.272520 + 0.324776i
\(597\) −32.0054 + 0.185088i −1.30989 + 0.00757514i
\(598\) 3.49490 + 4.99124i 0.142917 + 0.204107i
\(599\) −37.7245 + 13.7306i −1.54138 + 0.561017i −0.966376 0.257133i \(-0.917222\pi\)
−0.575005 + 0.818150i \(0.695000\pi\)
\(600\) 26.3092 0.0432302i 1.07407 0.00176486i
\(601\) 3.13840 + 17.7988i 0.128018 + 0.726027i 0.979469 + 0.201593i \(0.0646119\pi\)
−0.851451 + 0.524434i \(0.824277\pi\)
\(602\) 4.53099 + 1.21407i 0.184669 + 0.0494820i
\(603\) 30.6848 + 13.8788i 1.24958 + 0.565188i
\(604\) −7.17219 4.14087i −0.291832 0.168490i
\(605\) −17.7509 0.811837i −0.721676 0.0330058i
\(606\) 11.8219 + 16.6773i 0.480233 + 0.677471i
\(607\) −1.24916 14.2779i −0.0507016 0.579522i −0.978473 0.206374i \(-0.933834\pi\)
0.927772 0.373149i \(-0.121722\pi\)
\(608\) −1.59123 18.1879i −0.0645330 0.737616i
\(609\) −5.15265 7.26892i −0.208796 0.294552i
\(610\) 11.2774 10.2910i 0.456608 0.416668i
\(611\) 2.54213 + 1.46770i 0.102844 + 0.0593767i
\(612\) −7.61735 3.44534i −0.307913 0.139270i
\(613\) −27.3956 7.34062i −1.10650 0.296485i −0.341090 0.940031i \(-0.610796\pi\)
−0.765408 + 0.643546i \(0.777463\pi\)
\(614\) −1.54655 8.77091i −0.0624136 0.353965i
\(615\) 7.60583 + 14.4791i 0.306697 + 0.583855i
\(616\) 3.45655 1.25808i 0.139269 0.0506896i
\(617\) 13.4838 + 19.2569i 0.542839 + 0.775255i 0.993053 0.117666i \(-0.0375412\pi\)
−0.450214 + 0.892921i \(0.648652\pi\)
\(618\) −8.92574 + 0.0516178i −0.359046 + 0.00207637i
\(619\) −5.35313 6.37961i −0.215160 0.256418i 0.647659 0.761930i \(-0.275748\pi\)
−0.862820 + 0.505512i \(0.831304\pi\)
\(620\) 2.67836 + 8.55640i 0.107566 + 0.343633i
\(621\) 24.6535 + 33.9401i 0.989312 + 1.36197i
\(622\) −10.7995 10.7995i −0.433020 0.433020i
\(623\) −3.83994 0.335951i −0.153844 0.0134596i
\(624\) 1.63028 0.446952i 0.0652633 0.0178924i
\(625\) −21.5464 12.6788i −0.861856 0.507153i
\(626\) −3.32909 9.14661i −0.133057 0.365572i
\(627\) 7.66258 + 9.02539i 0.306014 + 0.360439i
\(628\) 2.49739 + 1.74869i 0.0996566 + 0.0697803i
\(629\) 16.9411 + 29.3428i 0.675485 + 1.16997i
\(630\) −2.56789 + 4.11653i −0.102307 + 0.164006i
\(631\) 10.7788 18.6694i 0.429097 0.743218i −0.567696 0.823238i \(-0.692165\pi\)
0.996793 + 0.0800204i \(0.0254985\pi\)
\(632\) −4.48633 + 2.09201i −0.178457 + 0.0832158i
\(633\) 18.5478 22.3658i 0.737208 0.888960i
\(634\) −15.8517 + 18.8913i −0.629550 + 0.750269i
\(635\) 14.1353 + 34.3264i 0.560941 + 1.36220i
\(636\) 11.9766 + 5.50069i 0.474904 + 0.218117i
\(637\) −1.99246 4.27285i −0.0789442 0.169296i
\(638\) 13.0779 3.50422i 0.517761 0.138734i
\(639\) 16.6476 9.86998i 0.658570 0.390450i
\(640\) −0.133078 3.19997i −0.00526038 0.126490i
\(641\) −4.89330 + 0.862821i −0.193274 + 0.0340794i −0.269447 0.963015i \(-0.586841\pi\)
0.0761733 + 0.997095i \(0.475730\pi\)
\(642\) 26.8461 + 9.59572i 1.05953 + 0.378713i
\(643\) −9.66776 + 20.7326i −0.381259 + 0.817613i 0.618241 + 0.785989i \(0.287846\pi\)
−0.999500 + 0.0316243i \(0.989932\pi\)
\(644\) −0.884560 + 5.01659i −0.0348566 + 0.197681i
\(645\) 1.18884 + 25.0906i 0.0468104 + 0.987943i
\(646\) −9.57243 + 8.03223i −0.376622 + 0.316024i
\(647\) 8.15287 8.15287i 0.320522 0.320522i −0.528445 0.848967i \(-0.677225\pi\)
0.848967 + 0.528445i \(0.177225\pi\)
\(648\) 26.2390 7.68542i 1.03076 0.301912i
\(649\) 4.90443i 0.192516i
\(650\) −3.64109 0.991800i −0.142815 0.0389016i
\(651\) −5.11274 1.33831i −0.200384 0.0524527i
\(652\) 10.5241 7.36905i 0.412155 0.288594i
\(653\) 33.6553 + 15.6937i 1.31703 + 0.614142i 0.948884 0.315625i \(-0.102214\pi\)
0.368148 + 0.929767i \(0.379992\pi\)
\(654\) −33.1952 + 15.7135i −1.29804 + 0.614447i
\(655\) 44.7240 23.1643i 1.74751 0.905104i
\(656\) −4.93599 + 2.84980i −0.192718 + 0.111266i
\(657\) 17.5518 17.9626i 0.684760 0.700786i
\(658\) −0.759896 2.83597i −0.0296238 0.110558i
\(659\) −17.4051 6.33493i −0.678005 0.246774i −0.0200144 0.999800i \(-0.506371\pi\)
−0.657991 + 0.753026i \(0.728593\pi\)
\(660\) 3.76952 + 4.87495i 0.146728 + 0.189757i
\(661\) 32.6452 + 27.3925i 1.26975 + 1.06545i 0.994572 + 0.104053i \(0.0331813\pi\)
0.275178 + 0.961393i \(0.411263\pi\)
\(662\) −24.0488 + 2.10399i −0.934682 + 0.0817740i
\(663\) 2.95051 + 2.44683i 0.114588 + 0.0950271i
\(664\) 1.86287 5.11819i 0.0722933 0.198624i
\(665\) −3.24619 5.11886i −0.125882 0.198501i
\(666\) −32.7107 11.4790i −1.26751 0.444804i
\(667\) −15.5115 + 57.8896i −0.600607 + 2.24149i
\(668\) 7.26980 10.3824i 0.281277 0.401705i
\(669\) −34.6914 2.83305i −1.34125 0.109532i
\(670\) 20.8189 15.9065i 0.804303 0.614522i
\(671\) 11.2566 + 1.98484i 0.434555 + 0.0766238i
\(672\) 4.86719 + 2.77267i 0.187756 + 0.106958i
\(673\) 0.827111 9.45392i 0.0318828 0.364422i −0.963448 0.267896i \(-0.913672\pi\)
0.995331 0.0965254i \(-0.0307729\pi\)
\(674\) 13.0095 0.501109
\(675\) −25.1821 6.39225i −0.969260 0.246038i
\(676\) −11.3614 −0.436977
\(677\) 0.944208 10.7923i 0.0362888 0.414783i −0.956223 0.292638i \(-0.905467\pi\)
0.992512 0.122146i \(-0.0389775\pi\)
\(678\) −0.00127672 0.220771i −4.90322e−5 0.00847865i
\(679\) −3.16272 0.557672i −0.121374 0.0214015i
\(680\) −16.5196 + 12.6217i −0.633497 + 0.484019i
\(681\) −4.59204 + 6.63950i −0.175967 + 0.254426i
\(682\) 4.60635 6.57855i 0.176386 0.251906i
\(683\) −0.586431 + 2.18859i −0.0224392 + 0.0837441i −0.976237 0.216704i \(-0.930469\pi\)
0.953798 + 0.300448i \(0.0971361\pi\)
\(684\) −1.73382 + 10.5447i −0.0662943 + 0.403188i
\(685\) −6.24365 9.84548i −0.238558 0.376176i
\(686\) −3.34440 + 9.18868i −0.127690 + 0.350825i
\(687\) 7.06454 41.4658i 0.269529 1.58202i
\(688\) −8.72026 + 0.762924i −0.332457 + 0.0290862i
\(689\) −4.62889 3.88410i −0.176347 0.147972i
\(690\) 32.3398 4.37984i 1.23116 0.166738i
\(691\) 7.28698 + 2.65224i 0.277210 + 0.100896i 0.476884 0.878966i \(-0.341766\pi\)
−0.199674 + 0.979862i \(0.563988\pi\)
\(692\) 0.733152 + 2.73616i 0.0278703 + 0.104013i
\(693\) −3.61474 + 0.358421i −0.137313 + 0.0136153i
\(694\) −10.3378 + 5.96855i −0.392419 + 0.226563i
\(695\) 25.8019 13.3638i 0.978722 0.506918i
\(696\) 32.1267 + 22.2196i 1.21776 + 0.842231i
\(697\) −11.7130 5.46187i −0.443662 0.206883i
\(698\) −20.7650 + 14.5398i −0.785969 + 0.550341i
\(699\) 8.62458 8.72492i 0.326212 0.330007i
\(700\) −1.56613 2.73874i −0.0591941 0.103514i
\(701\) 3.06270i 0.115677i −0.998326 0.0578383i \(-0.981579\pi\)
0.998326 0.0578383i \(-0.0184208\pi\)
\(702\) −3.92120 + 0.0680353i −0.147996 + 0.00256783i
\(703\) 30.6241 30.6241i 1.15501 1.15501i
\(704\) −10.1338 + 8.50324i −0.381931 + 0.320478i
\(705\) 13.2283 8.49659i 0.498208 0.320000i
\(706\) −6.07355 + 34.4448i −0.228581 + 1.29635i
\(707\) 3.31146 7.10146i 0.124540 0.267078i
\(708\) −3.37458 + 2.86502i −0.126824 + 0.107674i
\(709\) −45.6222 + 8.04442i −1.71338 + 0.302114i −0.942335 0.334671i \(-0.891375\pi\)
−0.771041 + 0.636785i \(0.780264\pi\)
\(710\) −0.625615 15.0434i −0.0234789 0.564570i
\(711\) 4.80392 0.904469i 0.180161 0.0339203i
\(712\) 16.3231 4.37376i 0.611734 0.163914i
\(713\) 15.0236 + 32.2183i 0.562640 + 1.20658i
\(714\) −0.356226 3.81729i −0.0133314 0.142859i
\(715\) −1.07581 2.61252i −0.0402330 0.0977026i
\(716\) −2.96927 + 3.53864i −0.110967 + 0.132245i
\(717\) 6.98896 + 18.8619i 0.261008 + 0.704411i
\(718\) 17.6751 8.24204i 0.659629 0.307590i
\(719\) 25.2485 43.7317i 0.941610 1.63092i 0.179211 0.983811i \(-0.442646\pi\)
0.762400 0.647106i \(-0.224021\pi\)
\(720\) 1.87561 8.85755i 0.0698998 0.330101i
\(721\) 1.71065 + 2.96294i 0.0637080 + 0.110346i
\(722\) −3.16086 2.21326i −0.117635 0.0823690i
\(723\) 6.10583 17.0824i 0.227078 0.635300i
\(724\) −2.90761 7.98858i −0.108060 0.296893i
\(725\) −15.5474 33.7051i −0.577416 1.25178i
\(726\) −3.63798 + 13.8981i −0.135018 + 0.515808i
\(727\) −10.5499 0.922993i −0.391273 0.0342319i −0.110178 0.993912i \(-0.535142\pi\)
−0.281095 + 0.959680i \(0.590698\pi\)
\(728\) −1.07638 1.07638i −0.0398933 0.0398933i
\(729\) −26.9837 + 0.936651i −0.999398 + 0.0346908i
\(730\) −5.83659 18.6458i −0.216022 0.690112i
\(731\) −12.7586 15.2051i −0.471893 0.562380i
\(732\) 5.21006 + 8.90476i 0.192569 + 0.329129i
\(733\) 16.7312 + 23.8946i 0.617981 + 0.882569i 0.999120 0.0419494i \(-0.0133568\pi\)
−0.381139 + 0.924518i \(0.624468\pi\)
\(734\) 6.98357 2.54181i 0.257768 0.0938200i
\(735\) −25.2311 1.00776i −0.930662 0.0371719i
\(736\) −6.54274 37.1057i −0.241169 1.36774i
\(737\) 18.9472 + 5.07689i 0.697929 + 0.187010i
\(738\) 12.7320 3.56986i 0.468672 0.131408i
\(739\) −5.54415 3.20092i −0.203945 0.117748i 0.394549 0.918875i \(-0.370901\pi\)
−0.598494 + 0.801127i \(0.704234\pi\)
\(740\) 16.6512 15.1947i 0.612110 0.558569i
\(741\) 2.04492 4.45239i 0.0751220 0.163563i
\(742\) 0.526756 + 6.02085i 0.0193378 + 0.221032i
\(743\) −2.60134 29.7334i −0.0954338 1.09081i −0.881345 0.472473i \(-0.843361\pi\)
0.785911 0.618339i \(-0.212194\pi\)
\(744\) 23.0696 2.15283i 0.845774 0.0789267i
\(745\) −25.3902 1.16122i −0.930226 0.0425439i
\(746\) −9.33928 5.39204i −0.341935 0.197416i
\(747\) −3.03391 + 4.44133i −0.111005 + 0.162500i
\(748\) −4.70355 1.26031i −0.171979 0.0460816i
\(749\) −1.89758 10.7617i −0.0693359 0.393224i
\(750\) −13.6615 + 14.8962i −0.498848 + 0.543931i
\(751\) −9.53000 + 3.46864i −0.347755 + 0.126572i −0.509991 0.860180i \(-0.670351\pi\)
0.162237 + 0.986752i \(0.448129\pi\)
\(752\) 3.14257 + 4.48806i 0.114598 + 0.163663i
\(753\) −9.65627 + 16.9508i −0.351894 + 0.617721i
\(754\) −3.60152 4.29213i −0.131160 0.156310i
\(755\) 19.4084 6.07531i 0.706345 0.221103i
\(756\) −2.35824 2.27780i −0.0857685 0.0828430i
\(757\) 6.39851 + 6.39851i 0.232558 + 0.232558i 0.813760 0.581202i \(-0.197417\pi\)
−0.581202 + 0.813760i \(0.697417\pi\)
\(758\) 5.67002 + 0.496062i 0.205944 + 0.0180178i
\(759\) 17.3766 + 17.1768i 0.630732 + 0.623479i
\(760\) 21.0488 + 16.2206i 0.763519 + 0.588384i
\(761\) 9.16585 + 25.1830i 0.332262 + 0.912882i 0.987522 + 0.157479i \(0.0503367\pi\)
−0.655260 + 0.755403i \(0.727441\pi\)
\(762\) 29.5267 5.38260i 1.06964 0.194991i
\(763\) 11.5315 + 8.07441i 0.417467 + 0.292313i
\(764\) 0.516728 + 0.895000i 0.0186946 + 0.0323800i
\(765\) 18.8917 8.03623i 0.683033 0.290550i
\(766\) −2.33284 + 4.04059i −0.0842888 + 0.145993i
\(767\) 1.83945 0.857749i 0.0664186 0.0309715i
\(768\) −28.4057 4.83948i −1.02500 0.174630i
\(769\) 8.41448 10.0280i 0.303434 0.361619i −0.592684 0.805435i \(-0.701932\pi\)
0.896117 + 0.443817i \(0.146376\pi\)
\(770\) −1.08684 + 2.60858i −0.0391671 + 0.0940069i