Properties

Label 403.2.l.c.25.5
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.5
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.30

$q$-expansion

\(f(q)\) \(=\) \(q-2.22973i q^{2} +(-0.613568 - 1.06273i) q^{3} -2.97169 q^{4} +(-2.33602 - 1.34870i) q^{5} +(-2.36960 + 1.36809i) q^{6} +(-1.24184 + 0.716977i) q^{7} +2.16660i q^{8} +(0.747068 - 1.29396i) q^{9} +O(q^{10})\) \(q-2.22973i q^{2} +(-0.613568 - 1.06273i) q^{3} -2.97169 q^{4} +(-2.33602 - 1.34870i) q^{5} +(-2.36960 + 1.36809i) q^{6} +(-1.24184 + 0.716977i) q^{7} +2.16660i q^{8} +(0.747068 - 1.29396i) q^{9} +(-3.00724 + 5.20869i) q^{10} +(1.17120 + 0.676192i) q^{11} +(1.82333 + 3.15811i) q^{12} +(-2.61537 - 2.48191i) q^{13} +(1.59866 + 2.76897i) q^{14} +3.31008i q^{15} -1.11245 q^{16} +(3.80956 + 6.59836i) q^{17} +(-2.88518 - 1.66576i) q^{18} +(-0.731192 + 0.422154i) q^{19} +(6.94192 + 4.00792i) q^{20} +(1.52391 + 0.879828i) q^{21} +(1.50772 - 2.61145i) q^{22} +5.80603 q^{23} +(2.30251 - 1.32936i) q^{24} +(1.13799 + 1.97106i) q^{25} +(-5.53397 + 5.83156i) q^{26} -5.51492 q^{27} +(3.69036 - 2.13063i) q^{28} -10.0152 q^{29} +7.38058 q^{30} +(4.29712 - 3.54044i) q^{31} +6.81365i q^{32} -1.65956i q^{33} +(14.7125 - 8.49429i) q^{34} +3.86795 q^{35} +(-2.22005 + 3.84525i) q^{36} +(0.0209981 - 0.0121233i) q^{37} +(0.941288 + 1.63036i) q^{38} +(-1.03289 + 4.30225i) q^{39} +(2.92210 - 5.06122i) q^{40} +(-6.84346 - 3.95107i) q^{41} +(1.96178 - 3.39790i) q^{42} +(-5.73802 - 9.93855i) q^{43} +(-3.48044 - 2.00943i) q^{44} +(-3.49033 + 2.01514i) q^{45} -12.9459i q^{46} -5.04640i q^{47} +(0.682561 + 1.18223i) q^{48} +(-2.47189 + 4.28144i) q^{49} +(4.39493 - 2.53741i) q^{50} +(4.67485 - 8.09709i) q^{51} +(7.77206 + 7.37545i) q^{52} +(2.94222 - 5.09607i) q^{53} +12.2968i q^{54} +(-1.82396 - 3.15919i) q^{55} +(-1.55340 - 2.69057i) q^{56} +(0.897272 + 0.518040i) q^{57} +22.3311i q^{58} +(-10.8705 + 6.27610i) q^{59} -9.83653i q^{60} +6.44491 q^{61} +(-7.89423 - 9.58141i) q^{62} +2.14252i q^{63} +12.9677 q^{64} +(2.76220 + 9.32513i) q^{65} -3.70036 q^{66} +(-4.50382 - 2.60028i) q^{67} +(-11.3208 - 19.6083i) q^{68} +(-3.56239 - 6.17024i) q^{69} -8.62448i q^{70} +(-1.65840 - 0.957475i) q^{71} +(2.80350 + 1.61860i) q^{72} +(7.01264 + 4.04875i) q^{73} +(-0.0270316 - 0.0468200i) q^{74} +(1.39647 - 2.41876i) q^{75} +(2.17287 - 1.25451i) q^{76} -1.93926 q^{77} +(9.59285 + 2.30307i) q^{78} +(-6.00014 - 10.3925i) q^{79} +(2.59870 + 1.50036i) q^{80} +(1.14257 + 1.97899i) q^{81} +(-8.80982 + 15.2591i) q^{82} +(6.84190 + 3.95017i) q^{83} +(-4.52858 - 2.61458i) q^{84} -20.5519i q^{85} +(-22.1603 + 12.7942i) q^{86} +(6.14500 + 10.6435i) q^{87} +(-1.46504 + 2.53752i) q^{88} +9.58894i q^{89} +(4.49323 + 7.78249i) q^{90} +(5.02734 + 1.20697i) q^{91} -17.2537 q^{92} +(-6.39912 - 2.39438i) q^{93} -11.2521 q^{94} +2.27744 q^{95} +(7.24108 - 4.18064i) q^{96} -5.23299i q^{97} +(9.54644 + 5.51164i) q^{98} +(1.74993 - 1.01032i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.22973i 1.57666i −0.615255 0.788328i \(-0.710947\pi\)
0.615255 0.788328i \(-0.289053\pi\)
\(3\) −0.613568 1.06273i −0.354244 0.613568i 0.632745 0.774361i \(-0.281928\pi\)
−0.986988 + 0.160793i \(0.948595\pi\)
\(4\) −2.97169 −1.48584
\(5\) −2.33602 1.34870i −1.04470 0.603158i −0.123539 0.992340i \(-0.539424\pi\)
−0.921161 + 0.389182i \(0.872758\pi\)
\(6\) −2.36960 + 1.36809i −0.967386 + 0.558520i
\(7\) −1.24184 + 0.716977i −0.469372 + 0.270992i −0.715977 0.698124i \(-0.754018\pi\)
0.246605 + 0.969116i \(0.420685\pi\)
\(8\) 2.16660i 0.766009i
\(9\) 0.747068 1.29396i 0.249023 0.431320i
\(10\) −3.00724 + 5.20869i −0.950972 + 1.64713i
\(11\) 1.17120 + 0.676192i 0.353130 + 0.203879i 0.666063 0.745896i \(-0.267978\pi\)
−0.312933 + 0.949775i \(0.601312\pi\)
\(12\) 1.82333 + 3.15811i 0.526351 + 0.911667i
\(13\) −2.61537 2.48191i −0.725372 0.688357i
\(14\) 1.59866 + 2.76897i 0.427261 + 0.740038i
\(15\) 3.31008i 0.854659i
\(16\) −1.11245 −0.278112
\(17\) 3.80956 + 6.59836i 0.923955 + 1.60034i 0.793233 + 0.608918i \(0.208396\pi\)
0.130722 + 0.991419i \(0.458270\pi\)
\(18\) −2.88518 1.66576i −0.680043 0.392623i
\(19\) −0.731192 + 0.422154i −0.167747 + 0.0968487i −0.581523 0.813530i \(-0.697543\pi\)
0.413776 + 0.910379i \(0.364210\pi\)
\(20\) 6.94192 + 4.00792i 1.55226 + 0.896198i
\(21\) 1.52391 + 0.879828i 0.332544 + 0.191994i
\(22\) 1.50772 2.61145i 0.321448 0.556764i
\(23\) 5.80603 1.21064 0.605320 0.795982i \(-0.293045\pi\)
0.605320 + 0.795982i \(0.293045\pi\)
\(24\) 2.30251 1.32936i 0.469999 0.271354i
\(25\) 1.13799 + 1.97106i 0.227599 + 0.394212i
\(26\) −5.53397 + 5.83156i −1.08530 + 1.14366i
\(27\) −5.51492 −1.06135
\(28\) 3.69036 2.13063i 0.697413 0.402652i
\(29\) −10.0152 −1.85977 −0.929887 0.367846i \(-0.880095\pi\)
−0.929887 + 0.367846i \(0.880095\pi\)
\(30\) 7.38058 1.34750
\(31\) 4.29712 3.54044i 0.771786 0.635883i
\(32\) 6.81365i 1.20450i
\(33\) 1.65956i 0.288892i
\(34\) 14.7125 8.49429i 2.52318 1.45676i
\(35\) 3.86795 0.653803
\(36\) −2.22005 + 3.84525i −0.370009 + 0.640874i
\(37\) 0.0209981 0.0121233i 0.00345206 0.00199305i −0.498273 0.867020i \(-0.666032\pi\)
0.501725 + 0.865027i \(0.332699\pi\)
\(38\) 0.941288 + 1.63036i 0.152697 + 0.264479i
\(39\) −1.03289 + 4.30225i −0.165395 + 0.688911i
\(40\) 2.92210 5.06122i 0.462024 0.800249i
\(41\) −6.84346 3.95107i −1.06877 0.617054i −0.140924 0.990020i \(-0.545007\pi\)
−0.927845 + 0.372966i \(0.878341\pi\)
\(42\) 1.96178 3.39790i 0.302709 0.524307i
\(43\) −5.73802 9.93855i −0.875040 1.51561i −0.856720 0.515782i \(-0.827501\pi\)
−0.0183204 0.999832i \(-0.505832\pi\)
\(44\) −3.48044 2.00943i −0.524695 0.302933i
\(45\) −3.49033 + 2.01514i −0.520308 + 0.300400i
\(46\) 12.9459i 1.90876i
\(47\) 5.04640i 0.736094i −0.929807 0.368047i \(-0.880027\pi\)
0.929807 0.368047i \(-0.119973\pi\)
\(48\) 0.682561 + 1.18223i 0.0985193 + 0.170640i
\(49\) −2.47189 + 4.28144i −0.353127 + 0.611634i
\(50\) 4.39493 2.53741i 0.621537 0.358845i
\(51\) 4.67485 8.09709i 0.654611 1.13382i
\(52\) 7.77206 + 7.37545i 1.07779 + 1.02279i
\(53\) 2.94222 5.09607i 0.404144 0.699999i −0.590077 0.807347i \(-0.700903\pi\)
0.994221 + 0.107348i \(0.0342360\pi\)
\(54\) 12.2968i 1.67338i
\(55\) −1.82396 3.15919i −0.245943 0.425986i
\(56\) −1.55340 2.69057i −0.207582 0.359543i
\(57\) 0.897272 + 0.518040i 0.118847 + 0.0686161i
\(58\) 22.3311i 2.93222i
\(59\) −10.8705 + 6.27610i −1.41522 + 0.817079i −0.995874 0.0907468i \(-0.971075\pi\)
−0.419348 + 0.907826i \(0.637741\pi\)
\(60\) 9.83653i 1.26989i
\(61\) 6.44491 0.825186 0.412593 0.910916i \(-0.364623\pi\)
0.412593 + 0.910916i \(0.364623\pi\)
\(62\) −7.89423 9.58141i −1.00257 1.21684i
\(63\) 2.14252i 0.269933i
\(64\) 12.9677 1.62096
\(65\) 2.76220 + 9.32513i 0.342609 + 1.15664i
\(66\) −3.70036 −0.455483
\(67\) −4.50382 2.60028i −0.550229 0.317675i 0.198985 0.980002i \(-0.436235\pi\)
−0.749214 + 0.662328i \(0.769569\pi\)
\(68\) −11.3208 19.6083i −1.37285 2.37785i
\(69\) −3.56239 6.17024i −0.428862 0.742810i
\(70\) 8.62448i 1.03082i
\(71\) −1.65840 0.957475i −0.196815 0.113631i 0.398354 0.917232i \(-0.369582\pi\)
−0.595169 + 0.803600i \(0.702915\pi\)
\(72\) 2.80350 + 1.61860i 0.330395 + 0.190754i
\(73\) 7.01264 + 4.04875i 0.820767 + 0.473870i 0.850681 0.525682i \(-0.176190\pi\)
−0.0299137 + 0.999552i \(0.509523\pi\)
\(74\) −0.0270316 0.0468200i −0.00314235 0.00544272i
\(75\) 1.39647 2.41876i 0.161251 0.279294i
\(76\) 2.17287 1.25451i 0.249246 0.143902i
\(77\) −1.93926 −0.220999
\(78\) 9.59285 + 2.30307i 1.08618 + 0.260771i
\(79\) −6.00014 10.3925i −0.675068 1.16925i −0.976449 0.215748i \(-0.930781\pi\)
0.301381 0.953504i \(-0.402552\pi\)
\(80\) 2.59870 + 1.50036i 0.290543 + 0.167745i
\(81\) 1.14257 + 1.97899i 0.126953 + 0.219888i
\(82\) −8.80982 + 15.2591i −0.972882 + 1.68508i
\(83\) 6.84190 + 3.95017i 0.750996 + 0.433588i 0.826054 0.563591i \(-0.190581\pi\)
−0.0750574 + 0.997179i \(0.523914\pi\)
\(84\) −4.52858 2.61458i −0.494108 0.285274i
\(85\) 20.5519i 2.22916i
\(86\) −22.1603 + 12.7942i −2.38960 + 1.37964i
\(87\) 6.14500 + 10.6435i 0.658813 + 1.14110i
\(88\) −1.46504 + 2.53752i −0.156173 + 0.270500i
\(89\) 9.58894i 1.01643i 0.861232 + 0.508213i \(0.169694\pi\)
−0.861232 + 0.508213i \(0.830306\pi\)
\(90\) 4.49323 + 7.78249i 0.473628 + 0.820347i
\(91\) 5.02734 + 1.20697i 0.527008 + 0.126525i
\(92\) −17.2537 −1.79882
\(93\) −6.39912 2.39438i −0.663558 0.248286i
\(94\) −11.2521 −1.16057
\(95\) 2.27744 0.233660
\(96\) 7.24108 4.18064i 0.739040 0.426685i
\(97\) 5.23299i 0.531329i −0.964065 0.265665i \(-0.914409\pi\)
0.964065 0.265665i \(-0.0855914\pi\)
\(98\) 9.54644 + 5.51164i 0.964336 + 0.556760i
\(99\) 1.74993 1.01032i 0.175875 0.101541i
\(100\) −3.38176 5.85738i −0.338176 0.585738i
\(101\) −0.692750 −0.0689312 −0.0344656 0.999406i \(-0.510973\pi\)
−0.0344656 + 0.999406i \(0.510973\pi\)
\(102\) −18.0543 10.4237i −1.78764 1.03210i
\(103\) −2.65162 + 4.59275i −0.261272 + 0.452537i −0.966580 0.256364i \(-0.917475\pi\)
0.705308 + 0.708901i \(0.250809\pi\)
\(104\) 5.37730 5.66646i 0.527287 0.555642i
\(105\) −2.37325 4.11059i −0.231606 0.401153i
\(106\) −11.3628 6.56034i −1.10366 0.637197i
\(107\) −0.189589 0.328378i −0.0183283 0.0317455i 0.856716 0.515789i \(-0.172501\pi\)
−0.875044 + 0.484043i \(0.839168\pi\)
\(108\) 16.3886 1.57700
\(109\) 6.21550i 0.595337i −0.954669 0.297669i \(-0.903791\pi\)
0.954669 0.297669i \(-0.0962090\pi\)
\(110\) −7.04414 + 4.06694i −0.671633 + 0.387767i
\(111\) −0.0257675 0.0148769i −0.00244574 0.00141205i
\(112\) 1.38148 0.797598i 0.130538 0.0753660i
\(113\) 3.91958 6.78891i 0.368723 0.638647i −0.620643 0.784093i \(-0.713128\pi\)
0.989366 + 0.145446i \(0.0464618\pi\)
\(114\) 1.15509 2.00067i 0.108184 0.187380i
\(115\) −13.5630 7.83060i −1.26476 0.730207i
\(116\) 29.7620 2.76333
\(117\) −5.16535 + 1.53003i −0.477536 + 0.141451i
\(118\) 13.9940 + 24.2383i 1.28825 + 2.23132i
\(119\) −9.46174 5.46274i −0.867357 0.500769i
\(120\) −7.17162 −0.654677
\(121\) −4.58553 7.94237i −0.416866 0.722034i
\(122\) 14.3704i 1.30103i
\(123\) 9.69701i 0.874350i
\(124\) −12.7697 + 10.5211i −1.14675 + 0.944822i
\(125\) 7.34777i 0.657204i
\(126\) 4.77725 0.425591
\(127\) −8.85528 15.3378i −0.785779 1.36101i −0.928532 0.371251i \(-0.878929\pi\)
0.142753 0.989758i \(-0.454404\pi\)
\(128\) 15.2871i 1.35121i
\(129\) −7.04134 + 12.1960i −0.619955 + 1.07379i
\(130\) 20.7925 6.15896i 1.82362 0.540176i
\(131\) −6.67362 11.5590i −0.583077 1.00992i −0.995112 0.0987505i \(-0.968515\pi\)
0.412036 0.911168i \(-0.364818\pi\)
\(132\) 4.93169i 0.429248i
\(133\) 0.605349 1.04850i 0.0524904 0.0909161i
\(134\) −5.79792 + 10.0423i −0.500864 + 0.867522i
\(135\) 12.8830 + 7.43798i 1.10879 + 0.640159i
\(136\) −14.2960 + 8.25380i −1.22587 + 0.707758i
\(137\) 14.2090 + 8.20357i 1.21396 + 0.700878i 0.963619 0.267281i \(-0.0861251\pi\)
0.250337 + 0.968159i \(0.419458\pi\)
\(138\) −13.7580 + 7.94317i −1.17116 + 0.676167i
\(139\) −4.89829 −0.415468 −0.207734 0.978185i \(-0.566609\pi\)
−0.207734 + 0.978185i \(0.566609\pi\)
\(140\) −11.4943 −0.971450
\(141\) −5.36297 + 3.09631i −0.451643 + 0.260756i
\(142\) −2.13491 + 3.69777i −0.179158 + 0.310310i
\(143\) −1.38487 4.67529i −0.115809 0.390968i
\(144\) −0.831073 + 1.43946i −0.0692561 + 0.119955i
\(145\) 23.3957 + 13.5075i 1.94291 + 1.12174i
\(146\) 9.02761 15.6363i 0.747130 1.29407i
\(147\) 6.06669 0.500372
\(148\) −0.0623998 + 0.0360265i −0.00512923 + 0.00296136i
\(149\) 10.2864 5.93888i 0.842698 0.486532i −0.0154823 0.999880i \(-0.504928\pi\)
0.858180 + 0.513348i \(0.171595\pi\)
\(150\) −5.39318 3.11375i −0.440351 0.254237i
\(151\) 19.3282i 1.57290i −0.617652 0.786452i \(-0.711916\pi\)
0.617652 0.786452i \(-0.288084\pi\)
\(152\) −0.914638 1.58420i −0.0741870 0.128496i
\(153\) 11.3840 0.920344
\(154\) 4.32401i 0.348439i
\(155\) −14.8132 + 2.47501i −1.18982 + 0.198798i
\(156\) 3.06943 12.7849i 0.245751 1.02361i
\(157\) 10.2447 0.817615 0.408808 0.912621i \(-0.365945\pi\)
0.408808 + 0.912621i \(0.365945\pi\)
\(158\) −23.1725 + 13.3787i −1.84351 + 1.06435i
\(159\) −7.22100 −0.572663
\(160\) 9.18959 15.9168i 0.726501 1.25834i
\(161\) −7.21016 + 4.16279i −0.568240 + 0.328074i
\(162\) 4.41262 2.54763i 0.346688 0.200160i
\(163\) 10.4433i 0.817980i 0.912539 + 0.408990i \(0.134119\pi\)
−0.912539 + 0.408990i \(0.865881\pi\)
\(164\) 20.3366 + 11.7414i 1.58802 + 0.916846i
\(165\) −2.23825 + 3.87676i −0.174247 + 0.301805i
\(166\) 8.80782 15.2556i 0.683619 1.18406i
\(167\) 16.2737 9.39565i 1.25930 0.727057i 0.286362 0.958122i \(-0.407554\pi\)
0.972938 + 0.231064i \(0.0742208\pi\)
\(168\) −1.90624 + 3.30170i −0.147069 + 0.254732i
\(169\) 0.680292 + 12.9822i 0.0523301 + 0.998630i
\(170\) −45.8251 −3.51462
\(171\) 1.26151i 0.0964701i
\(172\) 17.0516 + 29.5343i 1.30017 + 2.25197i
\(173\) −1.28786 + 2.23063i −0.0979140 + 0.169592i −0.910821 0.412801i \(-0.864550\pi\)
0.812907 + 0.582393i \(0.197884\pi\)
\(174\) 23.7320 13.7017i 1.79912 1.03872i
\(175\) −2.82641 1.63183i −0.213657 0.123355i
\(176\) −1.30289 0.752227i −0.0982094 0.0567012i
\(177\) 13.3396 + 7.70163i 1.00267 + 0.578890i
\(178\) 21.3807 1.60255
\(179\) 5.45316 + 9.44515i 0.407588 + 0.705964i 0.994619 0.103601i \(-0.0330365\pi\)
−0.587031 + 0.809565i \(0.699703\pi\)
\(180\) 10.3722 5.98838i 0.773097 0.446348i
\(181\) −4.21253 + 7.29632i −0.313115 + 0.542331i −0.979035 0.203692i \(-0.934706\pi\)
0.665920 + 0.746023i \(0.268039\pi\)
\(182\) 2.69122 11.2096i 0.199487 0.830911i
\(183\) −3.95439 6.84920i −0.292317 0.506308i
\(184\) 12.5793i 0.927361i
\(185\) −0.0654026 −0.00480850
\(186\) −5.33882 + 14.2683i −0.391461 + 1.04620i
\(187\) 10.3040i 0.753502i
\(188\) 14.9963i 1.09372i
\(189\) 6.84865 3.95407i 0.498166 0.287616i
\(190\) 5.07807i 0.368402i
\(191\) 0.912194 1.57997i 0.0660040 0.114322i −0.831135 0.556071i \(-0.812308\pi\)
0.897139 + 0.441749i \(0.145642\pi\)
\(192\) −7.95657 13.7812i −0.574216 0.994571i
\(193\) 23.1356 13.3573i 1.66534 0.961482i 0.695234 0.718783i \(-0.255301\pi\)
0.970102 0.242699i \(-0.0780327\pi\)
\(194\) −11.6681 −0.837724
\(195\) 8.21531 8.65708i 0.588310 0.619946i
\(196\) 7.34568 12.7231i 0.524691 0.908792i
\(197\) −2.29398 1.32443i −0.163440 0.0943618i 0.416049 0.909342i \(-0.363414\pi\)
−0.579489 + 0.814980i \(0.696748\pi\)
\(198\) −2.25274 3.90187i −0.160096 0.277294i
\(199\) 6.56951 11.3787i 0.465700 0.806617i −0.533533 0.845780i \(-0.679136\pi\)
0.999233 + 0.0391630i \(0.0124692\pi\)
\(200\) −4.27050 + 2.46558i −0.301970 + 0.174343i
\(201\) 6.38180i 0.450137i
\(202\) 1.54465i 0.108681i
\(203\) 12.4373 7.18066i 0.872925 0.503984i
\(204\) −13.8922 + 24.0620i −0.972649 + 1.68468i
\(205\) 10.6576 + 18.4596i 0.744362 + 1.28927i
\(206\) 10.2406 + 5.91240i 0.713495 + 0.411936i
\(207\) 4.33750 7.51277i 0.301477 0.522173i
\(208\) 2.90946 + 2.76099i 0.201734 + 0.191440i
\(209\) −1.14183 −0.0789818
\(210\) −9.16551 + 5.29171i −0.632480 + 0.365163i
\(211\) −4.92402 8.52865i −0.338983 0.587137i 0.645258 0.763964i \(-0.276750\pi\)
−0.984242 + 0.176828i \(0.943416\pi\)
\(212\) −8.74335 + 15.1439i −0.600496 + 1.04009i
\(213\) 2.34990i 0.161013i
\(214\) −0.732194 + 0.422732i −0.0500518 + 0.0288974i
\(215\) 30.9555i 2.11115i
\(216\) 11.9486i 0.813001i
\(217\) −2.79792 + 7.47761i −0.189935 + 0.507613i
\(218\) −13.8589 −0.938642
\(219\) 9.93673i 0.671462i
\(220\) 5.42024 + 9.38814i 0.365433 + 0.632948i
\(221\) 6.41309 26.7121i 0.431391 1.79685i
\(222\) −0.0331714 + 0.0574546i −0.00222632 + 0.00385610i
\(223\) 6.57720 3.79735i 0.440442 0.254289i −0.263343 0.964702i \(-0.584825\pi\)
0.703785 + 0.710413i \(0.251492\pi\)
\(224\) −4.88523 8.46147i −0.326408 0.565356i
\(225\) 3.40063 0.226709
\(226\) −15.1374 8.73960i −1.00693 0.581349i
\(227\) 10.0912 + 5.82615i 0.669776 + 0.386695i 0.795992 0.605308i \(-0.206950\pi\)
−0.126216 + 0.992003i \(0.540283\pi\)
\(228\) −2.66641 1.53945i −0.176587 0.101953i
\(229\) −11.2380 + 6.48829i −0.742631 + 0.428758i −0.823025 0.568005i \(-0.807715\pi\)
0.0803942 + 0.996763i \(0.474382\pi\)
\(230\) −17.4601 + 30.2418i −1.15129 + 1.99408i
\(231\) 1.18987 + 2.06091i 0.0782874 + 0.135598i
\(232\) 21.6989i 1.42460i
\(233\) 18.9837 1.24366 0.621831 0.783152i \(-0.286389\pi\)
0.621831 + 0.783152i \(0.286389\pi\)
\(234\) 3.41155 + 11.5173i 0.223020 + 0.752911i
\(235\) −6.80609 + 11.7885i −0.443981 + 0.768997i
\(236\) 32.3038 18.6506i 2.10280 1.21405i
\(237\) −7.36299 + 12.7531i −0.478277 + 0.828401i
\(238\) −12.1804 + 21.0971i −0.789540 + 1.36752i
\(239\) −10.2691 5.92889i −0.664255 0.383508i 0.129641 0.991561i \(-0.458617\pi\)
−0.793896 + 0.608053i \(0.791951\pi\)
\(240\) 3.68229i 0.237691i
\(241\) −11.5118 + 6.64633i −0.741539 + 0.428128i −0.822629 0.568579i \(-0.807493\pi\)
0.0810896 + 0.996707i \(0.474160\pi\)
\(242\) −17.7093 + 10.2245i −1.13840 + 0.657255i
\(243\) −6.87028 + 11.8997i −0.440729 + 0.763365i
\(244\) −19.1523 −1.22610
\(245\) 11.5488 6.66768i 0.737823 0.425982i
\(246\) 21.6217 1.37855
\(247\) 2.96008 + 0.710661i 0.188345 + 0.0452183i
\(248\) 7.67073 + 9.31014i 0.487092 + 0.591195i
\(249\) 9.69480i 0.614383i
\(250\) 16.3835 1.03618
\(251\) −7.70363 13.3431i −0.486249 0.842208i 0.513626 0.858014i \(-0.328302\pi\)
−0.999875 + 0.0158061i \(0.994969\pi\)
\(252\) 6.36691i 0.401078i
\(253\) 6.80001 + 3.92599i 0.427513 + 0.246825i
\(254\) −34.1991 + 19.7449i −2.14584 + 1.23890i
\(255\) −21.8411 + 12.6100i −1.36774 + 0.789667i
\(256\) −8.15078 −0.509424
\(257\) −3.82346 + 6.62242i −0.238501 + 0.413095i −0.960284 0.279024i \(-0.909989\pi\)
0.721784 + 0.692119i \(0.243323\pi\)
\(258\) 27.1937 + 15.7003i 1.69300 + 0.977456i
\(259\) −0.0173842 + 0.0301103i −0.00108020 + 0.00187096i
\(260\) −8.20840 27.7114i −0.509063 1.71859i
\(261\) −7.48203 + 12.9593i −0.463126 + 0.802158i
\(262\) −25.7735 + 14.8804i −1.59229 + 0.919311i
\(263\) 7.81272 0.481753 0.240877 0.970556i \(-0.422565\pi\)
0.240877 + 0.970556i \(0.422565\pi\)
\(264\) 3.59560 0.221294
\(265\) −13.7462 + 7.93634i −0.844419 + 0.487526i
\(266\) −2.33786 1.34976i −0.143343 0.0827593i
\(267\) 10.1905 5.88347i 0.623646 0.360062i
\(268\) 13.3839 + 7.72722i 0.817554 + 0.472015i
\(269\) 1.40551 2.43442i 0.0856956 0.148429i −0.819992 0.572375i \(-0.806022\pi\)
0.905687 + 0.423946i \(0.139355\pi\)
\(270\) 16.5847 28.7255i 1.00931 1.74818i
\(271\) 18.4025i 1.11787i −0.829212 0.558935i \(-0.811210\pi\)
0.829212 0.558935i \(-0.188790\pi\)
\(272\) −4.23794 7.34032i −0.256963 0.445072i
\(273\) −1.80193 6.08327i −0.109058 0.368176i
\(274\) 18.2917 31.6822i 1.10504 1.91399i
\(275\) 3.07800i 0.185611i
\(276\) 10.5863 + 18.3360i 0.637221 + 1.10370i
\(277\) −1.98129 −0.119044 −0.0595220 0.998227i \(-0.518958\pi\)
−0.0595220 + 0.998227i \(0.518958\pi\)
\(278\) 10.9219i 0.655050i
\(279\) −1.37095 8.20526i −0.0820767 0.491236i
\(280\) 8.38031i 0.500819i
\(281\) 3.12866i 0.186640i 0.995636 + 0.0933201i \(0.0297480\pi\)
−0.995636 + 0.0933201i \(0.970252\pi\)
\(282\) 6.90393 + 11.9580i 0.411123 + 0.712086i
\(283\) 10.9730 0.652279 0.326139 0.945322i \(-0.394252\pi\)
0.326139 + 0.945322i \(0.394252\pi\)
\(284\) 4.92823 + 2.84532i 0.292437 + 0.168839i
\(285\) −1.39736 2.42030i −0.0827726 0.143366i
\(286\) −10.4246 + 3.08788i −0.616421 + 0.182590i
\(287\) 11.3313 0.668867
\(288\) 8.81660 + 5.09026i 0.519523 + 0.299947i
\(289\) −20.5256 + 35.5513i −1.20739 + 2.09125i
\(290\) 30.1181 52.1660i 1.76859 3.06329i
\(291\) −5.56126 + 3.21079i −0.326007 + 0.188220i
\(292\) −20.8394 12.0316i −1.21953 0.704097i
\(293\) −9.21064 + 5.31777i −0.538091 + 0.310667i −0.744305 0.667840i \(-0.767219\pi\)
0.206214 + 0.978507i \(0.433886\pi\)
\(294\) 13.5271i 0.788914i
\(295\) 33.8584 1.97131
\(296\) 0.0262662 + 0.0454945i 0.00152669 + 0.00264431i
\(297\) −6.45906 3.72914i −0.374793 0.216387i
\(298\) −13.2421 22.9360i −0.767094 1.32864i
\(299\) −15.1849 14.4100i −0.878165 0.833352i
\(300\) −4.14988 + 7.18780i −0.239593 + 0.414988i
\(301\) 14.2514 + 8.22806i 0.821438 + 0.474258i
\(302\) −43.0965 −2.47993
\(303\) 0.425050 + 0.736207i 0.0244185 + 0.0422940i
\(304\) 0.813411 0.469623i 0.0466523 0.0269347i
\(305\) −15.0554 8.69226i −0.862071 0.497717i
\(306\) 25.3833i 1.45107i
\(307\) −7.19715 + 4.15528i −0.410763 + 0.237154i −0.691118 0.722742i \(-0.742881\pi\)
0.280354 + 0.959897i \(0.409548\pi\)
\(308\) 5.76286 0.328370
\(309\) 6.50781 0.370216
\(310\) 5.51861 + 33.0293i 0.313436 + 1.87594i
\(311\) −8.37729 −0.475033 −0.237516 0.971384i \(-0.576333\pi\)
−0.237516 + 0.971384i \(0.576333\pi\)
\(312\) −9.32126 2.23786i −0.527712 0.126694i
\(313\) −14.1080 24.4358i −0.797432 1.38119i −0.921283 0.388893i \(-0.872858\pi\)
0.123851 0.992301i \(-0.460476\pi\)
\(314\) 22.8429i 1.28910i
\(315\) 2.88963 5.00498i 0.162812 0.281999i
\(316\) 17.8305 + 30.8834i 1.00305 + 1.73733i
\(317\) −6.60773 + 3.81498i −0.371127 + 0.214270i −0.673951 0.738776i \(-0.735404\pi\)
0.302824 + 0.953047i \(0.402071\pi\)
\(318\) 16.1009i 0.902892i
\(319\) −11.7298 6.77219i −0.656741 0.379170i
\(320\) −30.2928 17.4896i −1.69342 0.977696i
\(321\) −0.232652 + 0.402965i −0.0129854 + 0.0224913i
\(322\) 9.28188 + 16.0767i 0.517259 + 0.895919i
\(323\) −5.57104 3.21644i −0.309981 0.178968i
\(324\) −3.39537 5.88095i −0.188632 0.326720i
\(325\) 1.91572 7.97944i 0.106265 0.442620i
\(326\) 23.2856 1.28967
\(327\) −6.60541 + 3.81363i −0.365280 + 0.210894i
\(328\) 8.56040 14.8270i 0.472669 0.818687i
\(329\) 3.61815 + 6.26683i 0.199475 + 0.345501i
\(330\) 8.64412 + 4.99069i 0.475843 + 0.274728i
\(331\) −10.9320 6.31162i −0.600879 0.346918i 0.168508 0.985700i \(-0.446105\pi\)
−0.769387 + 0.638782i \(0.779438\pi\)
\(332\) −20.3320 11.7387i −1.11586 0.644244i
\(333\) 0.0362276i 0.00198526i
\(334\) −20.9497 36.2860i −1.14632 1.98548i
\(335\) 7.01400 + 12.1486i 0.383216 + 0.663750i
\(336\) −1.69527 0.978762i −0.0924843 0.0533958i
\(337\) −25.3673 −1.38185 −0.690923 0.722928i \(-0.742796\pi\)
−0.690923 + 0.722928i \(0.742796\pi\)
\(338\) 28.9468 1.51687i 1.57450 0.0825066i
\(339\) −9.61972 −0.522471
\(340\) 61.0737i 3.31219i
\(341\) 7.42680 1.24088i 0.402184 0.0671977i
\(342\) 2.81283 0.152100
\(343\) 17.1268i 0.924762i
\(344\) 21.5329 12.4320i 1.16097 0.670289i
\(345\) 19.2184i 1.03468i
\(346\) 4.97371 + 2.87157i 0.267388 + 0.154377i
\(347\) 3.72055 + 6.44418i 0.199730 + 0.345942i 0.948441 0.316955i \(-0.102660\pi\)
−0.748711 + 0.662896i \(0.769327\pi\)
\(348\) −18.2610 31.6290i −0.978894 1.69549i
\(349\) 9.40117i 0.503233i −0.967827 0.251617i \(-0.919038\pi\)
0.967827 0.251617i \(-0.0809622\pi\)
\(350\) −3.63854 + 6.30213i −0.194488 + 0.336863i
\(351\) 14.4235 + 13.6875i 0.769871 + 0.730585i
\(352\) −4.60733 + 7.98014i −0.245572 + 0.425343i
\(353\) −11.2505 + 6.49548i −0.598803 + 0.345719i −0.768571 0.639765i \(-0.779032\pi\)
0.169767 + 0.985484i \(0.445698\pi\)
\(354\) 17.1725 29.7437i 0.912710 1.58086i
\(355\) 2.58270 + 4.47336i 0.137075 + 0.237421i
\(356\) 28.4953i 1.51025i
\(357\) 13.4071i 0.709576i
\(358\) 21.0601 12.1591i 1.11306 0.642627i
\(359\) 4.09479 + 2.36413i 0.216115 + 0.124774i 0.604150 0.796871i \(-0.293513\pi\)
−0.388035 + 0.921645i \(0.626846\pi\)
\(360\) −4.36601 7.56216i −0.230109 0.398561i
\(361\) −9.14357 + 15.8371i −0.481241 + 0.833533i
\(362\) 16.2688 + 9.39280i 0.855069 + 0.493674i
\(363\) −5.62707 + 9.74637i −0.295345 + 0.511552i
\(364\) −14.9397 3.58675i −0.783052 0.187997i
\(365\) −10.9211 18.9159i −0.571637 0.990104i
\(366\) −15.2719 + 8.81721i −0.798273 + 0.460883i
\(367\) 0.534967 0.926590i 0.0279250 0.0483676i −0.851725 0.523989i \(-0.824443\pi\)
0.879650 + 0.475621i \(0.157777\pi\)
\(368\) −6.45889 −0.336693
\(369\) −10.2251 + 5.90345i −0.532296 + 0.307321i
\(370\) 0.145830i 0.00758134i
\(371\) 8.43801i 0.438079i
\(372\) 19.0162 + 7.11535i 0.985943 + 0.368914i
\(373\) 26.8258 1.38899 0.694493 0.719499i \(-0.255629\pi\)
0.694493 + 0.719499i \(0.255629\pi\)
\(374\) 22.9751 1.18801
\(375\) 7.80870 4.50836i 0.403240 0.232810i
\(376\) 10.9335 0.563854
\(377\) 26.1934 + 24.8567i 1.34903 + 1.28019i
\(378\) −8.81650 15.2706i −0.453472 0.785436i
\(379\) 7.66726 4.42670i 0.393841 0.227384i −0.289982 0.957032i \(-0.593649\pi\)
0.683823 + 0.729648i \(0.260316\pi\)
\(380\) −6.76783 −0.347183
\(381\) −10.8666 + 18.8216i −0.556715 + 0.964258i
\(382\) −3.52289 2.03394i −0.180247 0.104066i
\(383\) −13.9865 8.07511i −0.714677 0.412619i 0.0981133 0.995175i \(-0.468719\pi\)
−0.812790 + 0.582556i \(0.802053\pi\)
\(384\) −16.2461 + 9.37971i −0.829057 + 0.478656i
\(385\) 4.53014 + 2.61548i 0.230877 + 0.133297i
\(386\) −29.7832 51.5861i −1.51593 2.62566i
\(387\) −17.1468 −0.871620
\(388\) 15.5508i 0.789473i
\(389\) 1.63417 + 2.83047i 0.0828559 + 0.143511i 0.904476 0.426525i \(-0.140263\pi\)
−0.821620 + 0.570036i \(0.806929\pi\)
\(390\) −19.3029 18.3179i −0.977442 0.927563i
\(391\) 22.1184 + 38.3102i 1.11858 + 1.93743i
\(392\) −9.27616 5.35559i −0.468517 0.270498i
\(393\) −8.18944 + 14.1845i −0.413102 + 0.715514i
\(394\) −2.95312 + 5.11496i −0.148776 + 0.257688i
\(395\) 32.3696i 1.62869i
\(396\) −5.20025 + 3.00236i −0.261322 + 0.150874i
\(397\) 7.27323 4.19920i 0.365033 0.210752i −0.306253 0.951950i \(-0.599075\pi\)
0.671286 + 0.741198i \(0.265742\pi\)
\(398\) −25.3715 14.6482i −1.27176 0.734249i
\(399\) −1.48569 −0.0743776
\(400\) −1.26596 2.19270i −0.0632978 0.109635i
\(401\) 34.0952i 1.70264i −0.524651 0.851318i \(-0.675804\pi\)
0.524651 0.851318i \(-0.324196\pi\)
\(402\) 14.2297 0.709711
\(403\) −20.0256 1.40549i −0.997546 0.0700122i
\(404\) 2.05864 0.102421
\(405\) 6.16396i 0.306290i
\(406\) −16.0109 27.7317i −0.794609 1.37630i
\(407\) 0.0327906 0.00162537
\(408\) 17.5431 + 10.1285i 0.868515 + 0.501438i
\(409\) 20.3528 11.7507i 1.00638 0.581033i 0.0962498 0.995357i \(-0.469315\pi\)
0.910130 + 0.414324i \(0.135982\pi\)
\(410\) 41.1598 23.7636i 2.03274 1.17360i
\(411\) 20.1338i 0.993126i
\(412\) 7.87980 13.6482i 0.388210 0.672399i
\(413\) 8.99964 15.5878i 0.442843 0.767027i
\(414\) −16.7514 9.67144i −0.823288 0.475325i
\(415\) −10.6552 18.4554i −0.523044 0.905939i
\(416\) 16.9108 17.8202i 0.829122 0.873707i
\(417\) 3.00544 + 5.20557i 0.147177 + 0.254918i
\(418\) 2.54596i 0.124527i
\(419\) 37.7384 1.84364 0.921821 0.387616i \(-0.126701\pi\)
0.921821 + 0.387616i \(0.126701\pi\)
\(420\) 7.05257 + 12.2154i 0.344130 + 0.596051i
\(421\) 15.2686 + 8.81532i 0.744145 + 0.429632i 0.823574 0.567208i \(-0.191977\pi\)
−0.0794296 + 0.996840i \(0.525310\pi\)
\(422\) −19.0166 + 10.9792i −0.925712 + 0.534460i
\(423\) −6.52985 3.77001i −0.317492 0.183304i
\(424\) 11.0411 + 6.37461i 0.536205 + 0.309578i
\(425\) −8.67051 + 15.0178i −0.420582 + 0.728469i
\(426\) 5.23965 0.253862
\(427\) −8.00355 + 4.62085i −0.387319 + 0.223619i
\(428\) 0.563400 + 0.975837i 0.0272330 + 0.0471689i
\(429\) −4.11887 + 4.34035i −0.198861 + 0.209554i
\(430\) 69.0224 3.32856
\(431\) 8.95150 5.16815i 0.431179 0.248941i −0.268670 0.963232i \(-0.586584\pi\)
0.699849 + 0.714291i \(0.253251\pi\)
\(432\) 6.13505 0.295173
\(433\) −13.7230 −0.659485 −0.329742 0.944071i \(-0.606962\pi\)
−0.329742 + 0.944071i \(0.606962\pi\)
\(434\) 16.6730 + 6.23861i 0.800331 + 0.299463i
\(435\) 33.1511i 1.58947i
\(436\) 18.4705i 0.884578i
\(437\) −4.24532 + 2.45103i −0.203081 + 0.117249i
\(438\) −22.1562 −1.05866
\(439\) −4.51215 + 7.81528i −0.215353 + 0.373003i −0.953382 0.301767i \(-0.902424\pi\)
0.738028 + 0.674770i \(0.235757\pi\)
\(440\) 6.84471 3.95180i 0.326309 0.188394i
\(441\) 3.69334 + 6.39705i 0.175873 + 0.304621i
\(442\) −59.5607 14.2995i −2.83302 0.680156i
\(443\) 0.523289 0.906363i 0.0248622 0.0430626i −0.853327 0.521377i \(-0.825419\pi\)
0.878189 + 0.478314i \(0.158752\pi\)
\(444\) 0.0765730 + 0.0442095i 0.00363399 + 0.00209809i
\(445\) 12.9326 22.3999i 0.613065 1.06186i
\(446\) −8.46705 14.6654i −0.400926 0.694425i
\(447\) −12.6229 7.28781i −0.597041 0.344702i
\(448\) −16.1038 + 9.29754i −0.760834 + 0.439268i
\(449\) 16.6813i 0.787238i 0.919274 + 0.393619i \(0.128777\pi\)
−0.919274 + 0.393619i \(0.871223\pi\)
\(450\) 7.58249i 0.357442i
\(451\) −5.34337 9.25498i −0.251609 0.435800i
\(452\) −11.6478 + 20.1745i −0.547865 + 0.948930i
\(453\) −20.5406 + 11.8591i −0.965083 + 0.557191i
\(454\) 12.9907 22.5006i 0.609685 1.05601i
\(455\) −10.1161 9.59989i −0.474251 0.450050i
\(456\) −1.12239 + 1.94403i −0.0525605 + 0.0910375i
\(457\) 23.3381i 1.09171i 0.837879 + 0.545856i \(0.183795\pi\)
−0.837879 + 0.545856i \(0.816205\pi\)
\(458\) 14.4671 + 25.0578i 0.676004 + 1.17087i
\(459\) −21.0094 36.3894i −0.980636 1.69851i
\(460\) 40.3050 + 23.2701i 1.87923 + 1.08497i
\(461\) 27.4931i 1.28048i 0.768175 + 0.640240i \(0.221165\pi\)
−0.768175 + 0.640240i \(0.778835\pi\)
\(462\) 4.59526 2.65308i 0.213791 0.123432i
\(463\) 28.3883i 1.31932i 0.751565 + 0.659659i \(0.229299\pi\)
−0.751565 + 0.659659i \(0.770701\pi\)
\(464\) 11.1414 0.517225
\(465\) 11.7192 + 14.2238i 0.543463 + 0.659614i
\(466\) 42.3284i 1.96083i
\(467\) 8.29159 0.383689 0.191845 0.981425i \(-0.438553\pi\)
0.191845 + 0.981425i \(0.438553\pi\)
\(468\) 15.3498 4.54677i 0.709545 0.210174i
\(469\) 7.45736 0.344349
\(470\) 26.2851 + 15.1757i 1.21244 + 0.700005i
\(471\) −6.28582 10.8874i −0.289635 0.501663i
\(472\) −13.5978 23.5521i −0.625890 1.08407i
\(473\) 15.5200i 0.713611i
\(474\) 28.4359 + 16.4175i 1.30610 + 0.754079i
\(475\) −1.66418 0.960815i −0.0763579 0.0440852i
\(476\) 28.1174 + 16.2336i 1.28876 + 0.744064i
\(477\) −4.39607 7.61422i −0.201282 0.348631i
\(478\) −13.2198 + 22.8974i −0.604660 + 1.04730i
\(479\) 2.87951 1.66249i 0.131568 0.0759609i −0.432771 0.901504i \(-0.642464\pi\)
0.564339 + 0.825543i \(0.309131\pi\)
\(480\) −22.5537 −1.02943
\(481\) −0.0850065 0.0204085i −0.00387596 0.000930548i
\(482\) 14.8195 + 25.6681i 0.675010 + 1.16915i
\(483\) 8.84785 + 5.10831i 0.402591 + 0.232436i
\(484\) 13.6268 + 23.6022i 0.619398 + 1.07283i
\(485\) −7.05774 + 12.2244i −0.320475 + 0.555080i
\(486\) 26.5331 + 15.3189i 1.20356 + 0.694878i
\(487\) −29.3104 16.9224i −1.32818 0.766825i −0.343162 0.939276i \(-0.611498\pi\)
−0.985018 + 0.172451i \(0.944831\pi\)
\(488\) 13.9635i 0.632100i
\(489\) 11.0984 6.40765i 0.501886 0.289764i
\(490\) −14.8671 25.7506i −0.671628 1.16329i
\(491\) 10.9019 18.8827i 0.491997 0.852164i −0.507961 0.861380i \(-0.669600\pi\)
0.999958 + 0.00921654i \(0.00293376\pi\)
\(492\) 28.8165i 1.29915i
\(493\) −38.1535 66.0838i −1.71835 2.97627i
\(494\) 1.58458 6.60017i 0.0712937 0.296956i
\(495\) −5.45050 −0.244982
\(496\) −4.78032 + 3.93855i −0.214643 + 0.176846i
\(497\) 2.74595 0.123173
\(498\) −21.6168 −0.968671
\(499\) 11.1752 6.45201i 0.500271 0.288832i −0.228554 0.973531i \(-0.573400\pi\)
0.728826 + 0.684699i \(0.240067\pi\)
\(500\) 21.8353i 0.976503i
\(501\) −19.9701 11.5297i −0.892198 0.515111i
\(502\) −29.7515 + 17.1770i −1.32787 + 0.766647i
\(503\) 7.45166 + 12.9066i 0.332253 + 0.575479i 0.982953 0.183856i \(-0.0588579\pi\)
−0.650700 + 0.759335i \(0.725525\pi\)
\(504\) −4.64199 −0.206771
\(505\) 1.61828 + 0.934314i 0.0720125 + 0.0415764i
\(506\) 8.75388 15.1622i 0.389157 0.674041i
\(507\) 13.3792 8.68842i 0.594190 0.385866i
\(508\) 26.3151 + 45.5792i 1.16755 + 2.02225i
\(509\) −23.7551 13.7150i −1.05293 0.607907i −0.129459 0.991585i \(-0.541324\pi\)
−0.923467 + 0.383678i \(0.874657\pi\)
\(510\) 28.1168 + 48.6997i 1.24503 + 2.15646i
\(511\) −11.6114 −0.513660
\(512\) 12.4003i 0.548020i
\(513\) 4.03246 2.32814i 0.178038 0.102790i
\(514\) 14.7662 + 8.52527i 0.651309 + 0.376033i
\(515\) 12.3885 7.15250i 0.545902 0.315177i
\(516\) 20.9247 36.2426i 0.921156 1.59549i
\(517\) 3.41233 5.91034i 0.150074 0.259936i
\(518\) 0.0671378 + 0.0387620i 0.00294986 + 0.00170310i
\(519\) 3.16075 0.138742
\(520\) −20.2038 + 5.98458i −0.885997 + 0.262441i
\(521\) 19.2009 + 33.2570i 0.841208 + 1.45702i 0.888874 + 0.458152i \(0.151489\pi\)
−0.0476655 + 0.998863i \(0.515178\pi\)
\(522\) 28.8956 + 16.6829i 1.26473 + 0.730190i
\(523\) −5.53479 −0.242020 −0.121010 0.992651i \(-0.538613\pi\)
−0.121010 + 0.992651i \(0.538613\pi\)
\(524\) 19.8319 + 34.3499i 0.866361 + 1.50058i
\(525\) 4.00495i 0.174790i
\(526\) 17.4203i 0.759559i
\(527\) 39.7313 + 14.8664i 1.73072 + 0.647591i
\(528\) 1.84617i 0.0803442i
\(529\) 10.7099 0.465649
\(530\) 17.6959 + 30.6502i 0.768660 + 1.33136i
\(531\) 18.7547i 0.813885i
\(532\) −1.79891 + 3.11580i −0.0779926 + 0.135087i
\(533\) 8.09197 + 27.3183i 0.350502 + 1.18329i
\(534\) −13.1185 22.7220i −0.567694 0.983275i
\(535\) 1.02280i 0.0442194i
\(536\) 5.63377 9.75797i 0.243342 0.421480i
\(537\) 6.69177 11.5905i 0.288771 0.500166i
\(538\) −5.42809 3.13391i −0.234022 0.135112i
\(539\) −5.79014 + 3.34294i −0.249399 + 0.143991i
\(540\) −38.2841 22.1034i −1.64749 0.951177i
\(541\) −6.61874 + 3.82133i −0.284562 + 0.164292i −0.635487 0.772112i \(-0.719201\pi\)
0.350925 + 0.936404i \(0.385867\pi\)
\(542\) −41.0325 −1.76250
\(543\) 10.3387 0.443676
\(544\) −44.9589 + 25.9571i −1.92760 + 1.11290i
\(545\) −8.38286 + 14.5195i −0.359082 + 0.621949i
\(546\) −13.5640 + 4.01781i −0.580487 + 0.171946i
\(547\) 20.6818 35.8219i 0.884290 1.53163i 0.0377643 0.999287i \(-0.487976\pi\)
0.846526 0.532348i \(-0.178690\pi\)
\(548\) −42.2247 24.3784i −1.80375 1.04140i
\(549\) 4.81479 8.33945i 0.205490 0.355919i
\(550\) 6.86311 0.292644
\(551\) 7.32302 4.22795i 0.311971 0.180117i
\(552\) 13.3685 7.71828i 0.568999 0.328512i
\(553\) 14.9024 + 8.60392i 0.633716 + 0.365876i
\(554\) 4.41773i 0.187691i
\(555\) 0.0401290 + 0.0695054i 0.00170338 + 0.00295034i
\(556\) 14.5562 0.617320
\(557\) 4.53716i 0.192246i −0.995369 0.0961228i \(-0.969356\pi\)
0.995369 0.0961228i \(-0.0306442\pi\)
\(558\) −18.2955 + 3.05685i −0.774510 + 0.129407i
\(559\) −9.65950 + 40.2342i −0.408553 + 1.70172i
\(560\) −4.30289 −0.181830
\(561\) 10.9504 6.32219i 0.462325 0.266923i
\(562\) 6.97606 0.294267
\(563\) −11.0672 + 19.1689i −0.466426 + 0.807873i −0.999265 0.0383438i \(-0.987792\pi\)
0.532839 + 0.846217i \(0.321125\pi\)
\(564\) 15.9371 9.20127i 0.671072 0.387443i
\(565\) −18.3124 + 10.5727i −0.770410 + 0.444796i
\(566\) 24.4669i 1.02842i
\(567\) −2.83779 1.63840i −0.119176 0.0688062i
\(568\) 2.07447 3.59308i 0.0870427 0.150762i
\(569\) −14.1220 + 24.4599i −0.592023 + 1.02541i 0.401937 + 0.915667i \(0.368337\pi\)
−0.993960 + 0.109746i \(0.964996\pi\)
\(570\) −5.39662 + 3.11574i −0.226040 + 0.130504i
\(571\) 0.0857072 0.148449i 0.00358673 0.00621241i −0.864226 0.503103i \(-0.832192\pi\)
0.867813 + 0.496891i \(0.165525\pi\)
\(572\) 4.11540 + 13.8935i 0.172074 + 0.580917i
\(573\) −2.23877 −0.0935260
\(574\) 25.2658i 1.05457i
\(575\) 6.60721 + 11.4440i 0.275540 + 0.477249i
\(576\) 9.68776 16.7797i 0.403657 0.699154i
\(577\) −30.6784 + 17.7122i −1.27716 + 0.737367i −0.976325 0.216310i \(-0.930598\pi\)
−0.300832 + 0.953677i \(0.597264\pi\)
\(578\) 79.2698 + 45.7664i 3.29719 + 1.90363i
\(579\) −28.3905 16.3913i −1.17987 0.681198i
\(580\) −69.5247 40.1401i −2.88685 1.66673i
\(581\) −11.3287 −0.469995
\(582\) 7.15920 + 12.4001i 0.296758 + 0.514001i
\(583\) 6.89184 3.97900i 0.285431 0.164793i
\(584\) −8.77202 + 15.1936i −0.362989 + 0.628715i
\(585\) 14.1299 + 3.39233i 0.584200 + 0.140256i
\(586\) 11.8572 + 20.5372i 0.489815 + 0.848385i
\(587\) 33.8469i 1.39701i −0.715605 0.698505i \(-0.753849\pi\)
0.715605 0.698505i \(-0.246151\pi\)
\(588\) −18.0283 −0.743475
\(589\) −1.64741 + 4.40279i −0.0678802 + 0.181414i
\(590\) 75.4949i 3.10808i
\(591\) 3.25052i 0.133708i
\(592\) −0.0233592 + 0.0134865i −0.000960059 + 0.000554290i
\(593\) 34.2584i 1.40682i −0.710783 0.703411i \(-0.751659\pi\)
0.710783 0.703411i \(-0.248341\pi\)
\(594\) −8.31497 + 14.4020i −0.341167 + 0.590919i
\(595\) 14.7352 + 25.5221i 0.604085 + 1.04631i
\(596\) −30.5681 + 17.6485i −1.25212 + 0.722911i
\(597\) −16.1234 −0.659886
\(598\) −32.1304 + 33.8582i −1.31391 + 1.38456i
\(599\) −21.2517 + 36.8090i −0.868321 + 1.50398i −0.00460964 + 0.999989i \(0.501467\pi\)
−0.863711 + 0.503987i \(0.831866\pi\)
\(600\) 5.24049 + 3.02560i 0.213942 + 0.123519i
\(601\) 19.8651 + 34.4073i 0.810313 + 1.40350i 0.912645 + 0.408753i \(0.134036\pi\)
−0.102332 + 0.994750i \(0.532630\pi\)
\(602\) 18.3463 31.7768i 0.747741 1.29513i
\(603\) −6.72932 + 3.88517i −0.274039 + 0.158217i
\(604\) 57.4373i 2.33709i
\(605\) 24.7380i 1.00574i
\(606\) 1.64154 0.947745i 0.0666831 0.0384995i
\(607\) −10.6451 + 18.4378i −0.432070 + 0.748366i −0.997051 0.0767369i \(-0.975550\pi\)
0.564982 + 0.825103i \(0.308883\pi\)
\(608\) −2.87641 4.98209i −0.116654 0.202050i
\(609\) −15.2622 8.81165i −0.618456 0.357066i
\(610\) −19.3814 + 33.5695i −0.784729 + 1.35919i
\(611\) −12.5247 + 13.1982i −0.506695 + 0.533942i
\(612\) −33.8298 −1.36749
\(613\) 12.9248 7.46212i 0.522026 0.301392i −0.215737 0.976452i \(-0.569215\pi\)
0.737763 + 0.675059i \(0.235882\pi\)
\(614\) 9.26514 + 16.0477i 0.373911 + 0.647632i
\(615\) 13.0784 22.6524i 0.527371 0.913433i
\(616\) 4.20159i 0.169287i
\(617\) −37.1590 + 21.4538i −1.49597 + 0.863696i −0.999989 0.00463942i \(-0.998523\pi\)
−0.495977 + 0.868336i \(0.665190\pi\)
\(618\) 14.5106i 0.583704i
\(619\) 20.2790i 0.815082i −0.913187 0.407541i \(-0.866386\pi\)
0.913187 0.407541i \(-0.133614\pi\)
\(620\) 44.0201 7.35497i 1.76789 0.295383i
\(621\) −32.0198 −1.28491
\(622\) 18.6791i 0.748963i
\(623\) −6.87505 11.9079i −0.275443 0.477081i
\(624\) 1.14904 4.78602i 0.0459983 0.191594i
\(625\) 15.5999 27.0198i 0.623996 1.08079i
\(626\) −54.4852 + 31.4571i −2.17767 + 1.25728i
\(627\) 0.700589 + 1.21346i 0.0279788 + 0.0484607i
\(628\) −30.4440 −1.21485
\(629\) 0.159987 + 0.0923686i 0.00637911 + 0.00368298i
\(630\) −11.1597 6.44308i −0.444615 0.256698i
\(631\) 13.6722 + 7.89367i 0.544283 + 0.314242i 0.746813 0.665034i \(-0.231583\pi\)
−0.202530 + 0.979276i \(0.564916\pi\)
\(632\) 22.5165 12.9999i 0.895658 0.517108i
\(633\) −6.04244 + 10.4658i −0.240166 + 0.415979i
\(634\) 8.50636 + 14.7334i 0.337831 + 0.585140i
\(635\) 47.7725i 1.89580i
\(636\) 21.4586 0.850887
\(637\) 17.0910 5.06253i 0.677171 0.200585i
\(638\) −15.1001 + 26.1542i −0.597820 + 1.03545i
\(639\) −2.47787 + 1.43060i −0.0980230 + 0.0565936i
\(640\) −20.6178 + 35.7111i −0.814990 + 1.41160i
\(641\) 7.57293 13.1167i 0.299113 0.518078i −0.676820 0.736148i \(-0.736643\pi\)
0.975933 + 0.218070i \(0.0699760\pi\)
\(642\) 0.898502 + 0.518750i 0.0354610 + 0.0204734i
\(643\) 3.63466i 0.143337i 0.997429 + 0.0716685i \(0.0228324\pi\)
−0.997429 + 0.0716685i \(0.977168\pi\)
\(644\) 21.4263 12.3705i 0.844316 0.487466i
\(645\) 32.8974 18.9933i 1.29533 0.747861i
\(646\) −7.17179 + 12.4219i −0.282170 + 0.488734i
\(647\) 26.2555 1.03221 0.516105 0.856525i \(-0.327381\pi\)
0.516105 + 0.856525i \(0.327381\pi\)
\(648\) −4.28769 + 2.47550i −0.168436 + 0.0972467i
\(649\) −16.9754 −0.666342
\(650\) −17.7920 4.27153i −0.697859 0.167543i
\(651\) 9.66340 1.61458i 0.378738 0.0632804i
\(652\) 31.0341i 1.21539i
\(653\) 29.3099 1.14699 0.573493 0.819210i \(-0.305588\pi\)
0.573493 + 0.819210i \(0.305588\pi\)
\(654\) 8.50337 + 14.7283i 0.332508 + 0.575921i
\(655\) 36.0029i 1.40675i
\(656\) 7.61298 + 4.39536i 0.297237 + 0.171610i
\(657\) 10.4778 6.04938i 0.408779 0.236009i
\(658\) 13.9733 8.06750i 0.544737 0.314504i
\(659\) 9.83901 0.383273 0.191637 0.981466i \(-0.438620\pi\)
0.191637 + 0.981466i \(0.438620\pi\)
\(660\) 6.65138 11.5205i 0.258905 0.448436i
\(661\) 13.0224 + 7.51851i 0.506514 + 0.292436i 0.731400 0.681949i \(-0.238867\pi\)
−0.224885 + 0.974385i \(0.572201\pi\)
\(662\) −14.0732 + 24.3755i −0.546970 + 0.947380i
\(663\) −32.3227 + 9.57431i −1.25531 + 0.371835i
\(664\) −8.55845 + 14.8237i −0.332132 + 0.575270i
\(665\) −2.82821 + 1.63287i −0.109673 + 0.0633200i
\(666\) −0.0807777 −0.00313007
\(667\) −58.1484 −2.25152
\(668\) −48.3605 + 27.9209i −1.87112 + 1.08029i
\(669\) −8.07112 4.65986i −0.312047 0.180161i
\(670\) 27.0881 15.6393i 1.04650 0.604200i
\(671\) 7.54826 + 4.35799i 0.291397 + 0.168238i
\(672\) −5.99485 + 10.3834i −0.231256 + 0.400547i
\(673\) 7.22214 12.5091i 0.278393 0.482191i −0.692592 0.721329i \(-0.743532\pi\)
0.970986 + 0.239138i \(0.0768649\pi\)
\(674\) 56.5623i 2.17870i
\(675\) −6.27594 10.8702i −0.241561 0.418396i
\(676\) −2.02161 38.5790i −0.0777544 1.48381i
\(677\) 1.22146 2.11563i 0.0469444 0.0813101i −0.841598 0.540104i \(-0.818385\pi\)
0.888543 + 0.458794i \(0.151718\pi\)
\(678\) 21.4494i 0.823757i
\(679\) 3.75193 + 6.49854i 0.143986 + 0.249391i
\(680\) 44.5277 1.70756
\(681\) 14.2990i 0.547937i
\(682\) −2.76684 16.5597i −0.105948 0.634105i
\(683\) 24.7764i 0.948042i −0.880514 0.474021i \(-0.842802\pi\)
0.880514 0.474021i \(-0.157198\pi\)
\(684\) 3.74882i 0.143340i
\(685\) −22.1283 38.3274i −0.845480 1.46441i
\(686\) −38.1882 −1.45803
\(687\) 13.7906 + 7.96201i 0.526145 + 0.303770i
\(688\) 6.38324 + 11.0561i 0.243359 + 0.421510i
\(689\) −20.3429 + 6.02579i −0.775004 + 0.229564i
\(690\) 42.8518 1.63134
\(691\) 19.3377 + 11.1646i 0.735641 + 0.424722i 0.820482 0.571672i \(-0.193705\pi\)
−0.0848414 + 0.996394i \(0.527038\pi\)
\(692\) 3.82711 6.62875i 0.145485 0.251987i
\(693\) −1.44876 + 2.50932i −0.0550337 + 0.0953212i
\(694\) 14.3688 8.29581i 0.545431 0.314905i
\(695\) 11.4425 + 6.60634i 0.434039 + 0.250593i
\(696\) −23.0601 + 13.3138i −0.874091 + 0.504657i
\(697\) 60.2075i 2.28052i
\(698\) −20.9621 −0.793425
\(699\) −11.6478 20.1745i −0.440559 0.763071i
\(700\) 8.39921 + 4.84929i 0.317460 + 0.183286i
\(701\) −12.3273 21.3514i −0.465594 0.806432i 0.533634 0.845715i \(-0.320826\pi\)
−0.999228 + 0.0392831i \(0.987493\pi\)
\(702\) 30.5194 32.1606i 1.15188 1.21382i
\(703\) −0.0102358 + 0.0177288i −0.000386049 + 0.000668656i
\(704\) 15.1877 + 8.76865i 0.572410 + 0.330481i
\(705\) 16.7040 0.629109
\(706\) 14.4831 + 25.0855i 0.545080 + 0.944107i
\(707\) 0.860286 0.496686i 0.0323544 0.0186798i
\(708\) −39.6412 22.8868i −1.48981 0.860140i
\(709\) 50.4937i 1.89633i −0.317776 0.948166i \(-0.602936\pi\)
0.317776 0.948166i \(-0.397064\pi\)
\(710\) 9.97438 5.75871i 0.374332 0.216121i
\(711\) −17.9301 −0.672429
\(712\) −20.7754 −0.778591
\(713\) 24.9492 20.5559i 0.934355 0.769825i
\(714\) 29.8941 1.11876
\(715\) −3.07049 + 12.7894i −0.114830 + 0.478295i
\(716\) −16.2051 28.0680i −0.605613 1.04895i
\(717\) 14.5511i 0.543421i
\(718\) 5.27136 9.13027i 0.196726 0.340739i
\(719\) 4.78687 + 8.29110i 0.178520 + 0.309206i 0.941374 0.337365i \(-0.109536\pi\)
−0.762854 + 0.646571i \(0.776202\pi\)
\(720\) 3.88281 2.24174i 0.144704 0.0835447i
\(721\) 7.60461i 0.283211i
\(722\) 35.3125 + 20.3877i 1.31420 + 0.758751i
\(723\) 14.1265 + 8.15595i 0.525371 + 0.303323i
\(724\) 12.5183 21.6824i 0.465240 0.805819i
\(725\) −11.3972 19.7405i −0.423282 0.733146i
\(726\) 21.7318 + 12.5468i 0.806541 + 0.465657i
\(727\) −15.4541 26.7673i −0.573161 0.992744i −0.996239 0.0866507i \(-0.972384\pi\)
0.423078 0.906093i \(-0.360950\pi\)
\(728\) −2.61503 + 10.8922i −0.0969194 + 0.403693i
\(729\) 23.7170 0.878407
\(730\) −42.1773 + 24.3511i −1.56105 + 0.901275i
\(731\) 43.7187 75.7231i 1.61700 2.80072i
\(732\) 11.7512 + 20.3537i 0.434337 + 0.752294i
\(733\) 20.3009 + 11.7207i 0.749831 + 0.432915i 0.825633 0.564208i \(-0.190818\pi\)
−0.0758022 + 0.997123i \(0.524152\pi\)
\(734\) −2.06604 1.19283i −0.0762591 0.0440282i
\(735\) −14.1719 8.18215i −0.522738 0.301803i
\(736\) 39.5602i 1.45821i
\(737\) −3.51657 6.09089i −0.129535 0.224361i
\(738\) 13.1631 + 22.7991i 0.484540 + 0.839247i
\(739\) 28.3079 + 16.3436i 1.04132 + 0.601208i 0.920208 0.391430i \(-0.128020\pi\)
0.121115 + 0.992638i \(0.461353\pi\)
\(740\) 0.194356 0.00714467
\(741\) −1.06097 3.58181i −0.0389757 0.131581i
\(742\) 18.8145 0.690701
\(743\) 40.3386i 1.47988i −0.672673 0.739940i \(-0.734854\pi\)
0.672673 0.739940i \(-0.265146\pi\)
\(744\) 5.18767 13.8643i 0.190189 0.508291i
\(745\) −32.0391 −1.17382
\(746\) 59.8142i 2.18995i
\(747\) 10.2227 5.90210i 0.374030 0.215947i
\(748\) 30.6202i 1.11959i
\(749\) 0.470879 + 0.271862i 0.0172056 + 0.00993363i
\(750\) −10.0524 17.4113i −0.367062 0.635770i
\(751\) −8.69213 15.0552i −0.317180 0.549372i 0.662718 0.748869i \(-0.269403\pi\)
−0.979899 + 0.199496i \(0.936069\pi\)
\(752\) 5.61385i 0.204716i
\(753\) −9.45341 + 16.3738i −0.344501 + 0.596694i
\(754\) 55.4238 58.4042i 2.01842 2.12695i
\(755\) −26.0679 + 45.1510i −0.948709 + 1.64321i
\(756\) −20.3520 + 11.7503i −0.740197 + 0.427353i
\(757\) 2.95482 5.11789i 0.107395 0.186013i −0.807319 0.590115i \(-0.799083\pi\)
0.914714 + 0.404102i \(0.132416\pi\)
\(758\) −9.87033 17.0959i −0.358506 0.620951i
\(759\) 9.63544i 0.349744i
\(760\) 4.93430i 0.178986i
\(761\) 9.38418 5.41796i 0.340176 0.196401i −0.320174 0.947359i \(-0.603741\pi\)
0.660350 + 0.750958i \(0.270408\pi\)
\(762\) 41.9670 + 24.2296i 1.52030 + 0.877748i
\(763\) 4.45637 + 7.71866i 0.161331 + 0.279434i
\(764\) −2.71075 + 4.69516i −0.0980717 + 0.169865i
\(765\) −26.5933