Properties

Label 483.2.r.a.181.10
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.10
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.220403 - 1.53294i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.382326 + 0.112261i) q^{4} +(0.186382 - 0.215096i) q^{5} +(0.436319 - 1.48597i) q^{6} +(0.0250753 - 2.64563i) q^{7} +(-1.03035 - 2.25615i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.220403 - 1.53294i) q^{2} +(0.909632 + 0.415415i) q^{3} +(-0.382326 + 0.112261i) q^{4} +(0.186382 - 0.215096i) q^{5} +(0.436319 - 1.48597i) q^{6} +(0.0250753 - 2.64563i) q^{7} +(-1.03035 - 2.25615i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-0.370808 - 0.238304i) q^{10} +(-0.948957 - 0.136439i) q^{11} +(-0.394411 - 0.0567078i) q^{12} +(0.623508 - 0.970197i) q^{13} +(-4.06111 + 0.544666i) q^{14} +(0.258893 - 0.118233i) q^{15} +(-3.90187 + 2.50758i) q^{16} +(2.01171 + 0.590691i) q^{17} +(1.01418 - 1.17043i) q^{18} +(1.02062 - 0.299680i) q^{19} +(-0.0471118 + 0.103160i) q^{20} +(1.12184 - 2.39614i) q^{21} +1.48476i q^{22} +(-0.598181 - 4.75838i) q^{23} -2.48029i q^{24} +(0.700046 + 4.86893i) q^{25} +(-1.62467 - 0.741963i) q^{26} +(0.281733 + 0.959493i) q^{27} +(0.287415 + 1.01431i) q^{28} +(-6.80459 - 1.99801i) q^{29} +(-0.238304 - 0.370808i) q^{30} +(9.11136 - 4.16102i) q^{31} +(1.45544 + 1.67967i) q^{32} +(-0.806523 - 0.518321i) q^{33} +(0.462105 - 3.21401i) q^{34} +(-0.564392 - 0.498492i) q^{35} +(-0.335212 - 0.215428i) q^{36} +(2.02675 - 1.75619i) q^{37} +(-0.684336 - 1.49849i) q^{38} +(0.970197 - 0.623508i) q^{39} +(-0.677329 - 0.198882i) q^{40} +(-4.47983 - 3.88179i) q^{41} +(-3.92038 - 1.19160i) q^{42} +(7.02739 + 3.20930i) q^{43} +(0.378128 - 0.0543666i) q^{44} +0.284613 q^{45} +(-7.16245 + 1.96573i) q^{46} +10.3831i q^{47} +(-4.59095 + 0.660079i) q^{48} +(-6.99874 - 0.132680i) q^{49} +(7.30946 - 2.14625i) q^{50} +(1.58453 + 1.37300i) q^{51} +(-0.129468 + 0.440928i) q^{52} +(1.25899 + 1.95902i) q^{53} +(1.40875 - 0.643353i) q^{54} +(-0.206216 + 0.178687i) q^{55} +(-5.99479 + 2.66935i) q^{56} +(1.05288 + 0.151381i) q^{57} +(-1.56307 + 10.8714i) q^{58} +(-1.73918 + 2.70622i) q^{59} +(-0.0857088 + 0.0742671i) q^{60} +(4.20188 + 9.20084i) q^{61} +(-8.38674 - 13.0500i) q^{62} +(2.01586 - 1.71357i) q^{63} +(-3.82065 + 4.40927i) q^{64} +(-0.0924751 - 0.314941i) q^{65} +(-0.616792 + 1.35059i) q^{66} +(0.584473 - 0.0840345i) q^{67} -0.835441 q^{68} +(1.43258 - 4.57687i) q^{69} +(-0.639762 + 0.975045i) q^{70} +(-1.37921 - 9.59264i) q^{71} +(1.03035 - 2.25615i) q^{72} +(1.30910 + 4.45839i) q^{73} +(-3.13882 - 2.71980i) q^{74} +(-1.38584 + 4.71974i) q^{75} +(-0.356566 + 0.229151i) q^{76} +(-0.384764 + 2.50717i) q^{77} +(-1.16963 - 1.34983i) q^{78} +(-1.87378 + 2.91566i) q^{79} +(-0.187867 + 1.30664i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-4.96317 + 7.72285i) q^{82} +(10.1587 + 11.7237i) q^{83} +(-0.159918 + 1.04205i) q^{84} +(0.502002 - 0.322617i) q^{85} +(3.37080 - 11.4799i) q^{86} +(-5.35967 - 4.64418i) q^{87} +(0.669930 + 2.28157i) q^{88} +(-5.28601 + 11.5747i) q^{89} +(-0.0627295 - 0.436293i) q^{90} +(-2.55115 - 1.67390i) q^{91} +(0.762882 + 1.75210i) q^{92} +10.0165 q^{93} +(15.9166 - 2.28847i) q^{94} +(0.125764 - 0.275386i) q^{95} +(0.626158 + 2.13250i) q^{96} +(6.11581 - 7.05802i) q^{97} +(1.33915 + 10.7579i) q^{98} +(-0.518321 - 0.806523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.220403 1.53294i −0.155848 1.08395i −0.906182 0.422889i \(-0.861016\pi\)
0.750333 0.661060i \(-0.229893\pi\)
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) −0.382326 + 0.112261i −0.191163 + 0.0561306i
\(5\) 0.186382 0.215096i 0.0833526 0.0961940i −0.712541 0.701630i \(-0.752456\pi\)
0.795894 + 0.605436i \(0.207001\pi\)
\(6\) 0.436319 1.48597i 0.178126 0.606643i
\(7\) 0.0250753 2.64563i 0.00947758 0.999955i
\(8\) −1.03035 2.25615i −0.364284 0.797670i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −0.370808 0.238304i −0.117260 0.0753582i
\(11\) −0.948957 0.136439i −0.286121 0.0411380i −0.00224012 0.999997i \(-0.500713\pi\)
−0.283881 + 0.958859i \(0.591622\pi\)
\(12\) −0.394411 0.0567078i −0.113857 0.0163701i
\(13\) 0.623508 0.970197i 0.172930 0.269084i −0.743960 0.668224i \(-0.767055\pi\)
0.916890 + 0.399140i \(0.130691\pi\)
\(14\) −4.06111 + 0.544666i −1.08538 + 0.145568i
\(15\) 0.258893 0.118233i 0.0668459 0.0305275i
\(16\) −3.90187 + 2.50758i −0.975467 + 0.626894i
\(17\) 2.01171 + 0.590691i 0.487911 + 0.143264i 0.516430 0.856330i \(-0.327261\pi\)
−0.0285186 + 0.999593i \(0.509079\pi\)
\(18\) 1.01418 1.17043i 0.239045 0.275873i
\(19\) 1.02062 0.299680i 0.234145 0.0687513i −0.162555 0.986700i \(-0.551973\pi\)
0.396700 + 0.917948i \(0.370155\pi\)
\(20\) −0.0471118 + 0.103160i −0.0105345 + 0.0230674i
\(21\) 1.12184 2.39614i 0.244807 0.522880i
\(22\) 1.48476i 0.316552i
\(23\) −0.598181 4.75838i −0.124729 0.992191i
\(24\) 2.48029i 0.506287i
\(25\) 0.700046 + 4.86893i 0.140009 + 0.973785i
\(26\) −1.62467 0.741963i −0.318624 0.145511i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) 0.287415 + 1.01431i 0.0543163 + 0.191687i
\(29\) −6.80459 1.99801i −1.26358 0.371021i −0.419755 0.907637i \(-0.637884\pi\)
−0.843826 + 0.536616i \(0.819702\pi\)
\(30\) −0.238304 0.370808i −0.0435081 0.0676999i
\(31\) 9.11136 4.16102i 1.63645 0.747341i 0.636731 0.771086i \(-0.280286\pi\)
0.999718 + 0.0237445i \(0.00755882\pi\)
\(32\) 1.45544 + 1.67967i 0.257289 + 0.296927i
\(33\) −0.806523 0.518321i −0.140398 0.0902281i
\(34\) 0.462105 3.21401i 0.0792503 0.551198i
\(35\) −0.564392 0.498492i −0.0953997 0.0842605i
\(36\) −0.335212 0.215428i −0.0558687 0.0359046i
\(37\) 2.02675 1.75619i 0.333195 0.288715i −0.472154 0.881516i \(-0.656523\pi\)
0.805349 + 0.592801i \(0.201978\pi\)
\(38\) −0.684336 1.49849i −0.111014 0.243087i
\(39\) 0.970197 0.623508i 0.155356 0.0998411i
\(40\) −0.677329 0.198882i −0.107095 0.0314460i
\(41\) −4.47983 3.88179i −0.699632 0.606234i 0.230669 0.973032i \(-0.425909\pi\)
−0.930301 + 0.366798i \(0.880454\pi\)
\(42\) −3.92038 1.19160i −0.604927 0.183868i
\(43\) 7.02739 + 3.20930i 1.07167 + 0.489414i 0.871524 0.490353i \(-0.163132\pi\)
0.200143 + 0.979767i \(0.435859\pi\)
\(44\) 0.378128 0.0543666i 0.0570050 0.00819608i
\(45\) 0.284613 0.0424276
\(46\) −7.16245 + 1.96573i −1.05605 + 0.289832i
\(47\) 10.3831i 1.51453i 0.653106 + 0.757267i \(0.273466\pi\)
−0.653106 + 0.757267i \(0.726534\pi\)
\(48\) −4.59095 + 0.660079i −0.662646 + 0.0952742i
\(49\) −6.99874 0.132680i −0.999820 0.0189543i
\(50\) 7.30946 2.14625i 1.03371 0.303526i
\(51\) 1.58453 + 1.37300i 0.221879 + 0.192259i
\(52\) −0.129468 + 0.440928i −0.0179540 + 0.0611457i
\(53\) 1.25899 + 1.95902i 0.172935 + 0.269092i 0.916892 0.399135i \(-0.130690\pi\)
−0.743957 + 0.668228i \(0.767053\pi\)
\(54\) 1.40875 0.643353i 0.191706 0.0875492i
\(55\) −0.206216 + 0.178687i −0.0278062 + 0.0240942i
\(56\) −5.99479 + 2.66935i −0.801087 + 0.356708i
\(57\) 1.05288 + 0.151381i 0.139457 + 0.0200509i
\(58\) −1.56307 + 10.8714i −0.205241 + 1.42748i
\(59\) −1.73918 + 2.70622i −0.226423 + 0.352320i −0.935814 0.352494i \(-0.885334\pi\)
0.709391 + 0.704815i \(0.248970\pi\)
\(60\) −0.0857088 + 0.0742671i −0.0110650 + 0.00958784i
\(61\) 4.20188 + 9.20084i 0.537996 + 1.17805i 0.962166 + 0.272464i \(0.0878387\pi\)
−0.424170 + 0.905583i \(0.639434\pi\)
\(62\) −8.38674 13.0500i −1.06512 1.65736i
\(63\) 2.01586 1.71357i 0.253974 0.215890i
\(64\) −3.82065 + 4.40927i −0.477581 + 0.551158i
\(65\) −0.0924751 0.314941i −0.0114701 0.0390637i
\(66\) −0.616792 + 1.35059i −0.0759219 + 0.166246i
\(67\) 0.584473 0.0840345i 0.0714047 0.0102664i −0.106520 0.994311i \(-0.533971\pi\)
0.177925 + 0.984044i \(0.443062\pi\)
\(68\) −0.835441 −0.101312
\(69\) 1.43258 4.57687i 0.172462 0.550990i
\(70\) −0.639762 + 0.975045i −0.0764662 + 0.116540i
\(71\) −1.37921 9.59264i −0.163682 1.13844i −0.891617 0.452790i \(-0.850429\pi\)
0.727935 0.685646i \(-0.240480\pi\)
\(72\) 1.03035 2.25615i 0.121428 0.265890i
\(73\) 1.30910 + 4.45839i 0.153219 + 0.521815i 0.999948 0.0102092i \(-0.00324974\pi\)
−0.846729 + 0.532024i \(0.821432\pi\)
\(74\) −3.13882 2.71980i −0.364880 0.316171i
\(75\) −1.38584 + 4.71974i −0.160023 + 0.544989i
\(76\) −0.356566 + 0.229151i −0.0409009 + 0.0262854i
\(77\) −0.384764 + 2.50717i −0.0438479 + 0.285719i
\(78\) −1.16963 1.34983i −0.132435 0.152838i
\(79\) −1.87378 + 2.91566i −0.210817 + 0.328038i −0.930518 0.366247i \(-0.880643\pi\)
0.719701 + 0.694284i \(0.244279\pi\)
\(80\) −0.187867 + 1.30664i −0.0210042 + 0.146087i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −4.96317 + 7.72285i −0.548091 + 0.852846i
\(83\) 10.1587 + 11.7237i 1.11506 + 1.28685i 0.953968 + 0.299908i \(0.0969559\pi\)
0.161091 + 0.986940i \(0.448499\pi\)
\(84\) −0.159918 + 1.04205i −0.0174485 + 0.113696i
\(85\) 0.502002 0.322617i 0.0544497 0.0349927i
\(86\) 3.37080 11.4799i 0.363482 1.23791i
\(87\) −5.35967 4.64418i −0.574617 0.497909i
\(88\) 0.669930 + 2.28157i 0.0714148 + 0.243216i
\(89\) −5.28601 + 11.5747i −0.560316 + 1.22692i 0.391480 + 0.920187i \(0.371963\pi\)
−0.951795 + 0.306734i \(0.900764\pi\)
\(90\) −0.0627295 0.436293i −0.00661227 0.0459894i
\(91\) −2.55115 1.67390i −0.267433 0.175472i
\(92\) 0.762882 + 1.75210i 0.0795359 + 0.182669i
\(93\) 10.0165 1.03867
\(94\) 15.9166 2.28847i 1.64168 0.236037i
\(95\) 0.125764 0.275386i 0.0129032 0.0282540i
\(96\) 0.626158 + 2.13250i 0.0639070 + 0.217647i
\(97\) 6.11581 7.05802i 0.620967 0.716634i −0.354924 0.934895i \(-0.615493\pi\)
0.975890 + 0.218262i \(0.0700386\pi\)
\(98\) 1.33915 + 10.7579i 0.135275 + 1.08671i
\(99\) −0.518321 0.806523i −0.0520932 0.0810586i
\(100\) −0.814238 1.78293i −0.0814238 0.178293i
\(101\) 11.8448 10.2636i 1.17860 1.02126i 0.179302 0.983794i \(-0.442616\pi\)
0.999298 0.0374685i \(-0.0119294\pi\)
\(102\) 1.75549 2.73160i 0.173820 0.270469i
\(103\) −2.33121 + 16.2139i −0.229700 + 1.59760i 0.469670 + 0.882842i \(0.344373\pi\)
−0.699370 + 0.714760i \(0.746536\pi\)
\(104\) −2.83134 0.407086i −0.277636 0.0399180i
\(105\) −0.306308 0.687901i −0.0298926 0.0671323i
\(106\) 2.72557 2.36172i 0.264731 0.229391i
\(107\) 1.86329 0.850935i 0.180131 0.0822630i −0.323308 0.946294i \(-0.604795\pi\)
0.503439 + 0.864031i \(0.332068\pi\)
\(108\) −0.215428 0.335212i −0.0207295 0.0322558i
\(109\) 3.27090 11.1397i 0.313295 1.06699i −0.640856 0.767661i \(-0.721421\pi\)
0.954151 0.299324i \(-0.0967613\pi\)
\(110\) 0.319367 + 0.276733i 0.0304504 + 0.0263854i
\(111\) 2.57314 0.755542i 0.244232 0.0717129i
\(112\) 6.53629 + 10.3858i 0.617621 + 0.981364i
\(113\) 5.47093 0.786601i 0.514662 0.0739972i 0.119909 0.992785i \(-0.461740\pi\)
0.394752 + 0.918788i \(0.370830\pi\)
\(114\) 1.64736i 0.154289i
\(115\) −1.13500 0.758210i −0.105839 0.0707034i
\(116\) 2.82588 0.262376
\(117\) 1.14154 0.164128i 0.105535 0.0151737i
\(118\) 4.53179 + 2.06960i 0.417185 + 0.190522i
\(119\) 1.61319 5.30743i 0.147881 0.486531i
\(120\) −0.533501 0.462282i −0.0487018 0.0422003i
\(121\) −9.67252 2.84011i −0.879320 0.258192i
\(122\) 13.1782 8.46911i 1.19310 0.766757i
\(123\) −2.46244 5.39199i −0.222031 0.486180i
\(124\) −3.01639 + 2.61372i −0.270880 + 0.234719i
\(125\) 2.37492 + 1.52627i 0.212420 + 0.136514i
\(126\) −3.07109 2.71250i −0.273595 0.241649i
\(127\) 1.00488 6.98908i 0.0891686 0.620181i −0.895411 0.445241i \(-0.853118\pi\)
0.984579 0.174940i \(-0.0559730\pi\)
\(128\) 11.3406 + 7.28817i 1.00238 + 0.644189i
\(129\) 5.05915 + 5.83857i 0.445433 + 0.514057i
\(130\) −0.462403 + 0.211172i −0.0405554 + 0.0185210i
\(131\) 3.20088 + 4.98067i 0.279662 + 0.435163i 0.952460 0.304663i \(-0.0985439\pi\)
−0.672798 + 0.739827i \(0.734908\pi\)
\(132\) 0.366542 + 0.107627i 0.0319034 + 0.00936769i
\(133\) −0.767251 2.70769i −0.0665291 0.234786i
\(134\) −0.257639 0.877437i −0.0222566 0.0757990i
\(135\) 0.258893 + 0.118233i 0.0222820 + 0.0101758i
\(136\) −0.740076 5.14734i −0.0634610 0.441381i
\(137\) 11.0089i 0.940550i 0.882520 + 0.470275i \(0.155845\pi\)
−0.882520 + 0.470275i \(0.844155\pi\)
\(138\) −7.33179 1.18729i −0.624123 0.101069i
\(139\) 7.46229i 0.632944i 0.948602 + 0.316472i \(0.102498\pi\)
−0.948602 + 0.316472i \(0.897502\pi\)
\(140\) 0.271743 + 0.127227i 0.0229665 + 0.0107527i
\(141\) −4.31330 + 9.44481i −0.363246 + 0.795397i
\(142\) −14.4009 + 4.22849i −1.20850 + 0.354847i
\(143\) −0.724055 + 0.835604i −0.0605485 + 0.0698767i
\(144\) −4.45028 1.30672i −0.370857 0.108893i
\(145\) −1.69802 + 1.09125i −0.141013 + 0.0906234i
\(146\) 6.54589 2.98941i 0.541742 0.247405i
\(147\) −6.31116 3.02807i −0.520536 0.249751i
\(148\) −0.577727 + 0.898961i −0.0474889 + 0.0738942i
\(149\) 13.7117 + 1.97144i 1.12330 + 0.161507i 0.678837 0.734289i \(-0.262484\pi\)
0.444466 + 0.895796i \(0.353394\pi\)
\(150\) 7.54050 + 1.08416i 0.615679 + 0.0885213i
\(151\) 8.10030 + 5.20575i 0.659193 + 0.423638i 0.827015 0.562180i \(-0.190037\pi\)
−0.167822 + 0.985817i \(0.553673\pi\)
\(152\) −1.72772 1.99389i −0.140136 0.161726i
\(153\) 0.870974 + 1.90717i 0.0704141 + 0.154185i
\(154\) 3.92813 + 0.0372309i 0.316538 + 0.00300015i
\(155\) 0.803174 2.73536i 0.0645125 0.219709i
\(156\) −0.300936 + 0.347299i −0.0240942 + 0.0278062i
\(157\) −17.3048 + 5.08114i −1.38107 + 0.405519i −0.886142 0.463414i \(-0.846624\pi\)
−0.494929 + 0.868933i \(0.664806\pi\)
\(158\) 4.88251 + 2.22977i 0.388432 + 0.177391i
\(159\) 0.331408 + 2.30499i 0.0262823 + 0.182798i
\(160\) 0.632560 0.0500083
\(161\) −12.6039 + 1.46325i −0.993328 + 0.115320i
\(162\) 1.54870 0.121677
\(163\) −0.862816 6.00102i −0.0675810 0.470036i −0.995306 0.0967728i \(-0.969148\pi\)
0.927726 0.373263i \(-0.121761\pi\)
\(164\) 2.14853 + 0.981202i 0.167772 + 0.0766190i
\(165\) −0.261810 + 0.0768744i −0.0203819 + 0.00598466i
\(166\) 15.7327 18.1565i 1.22110 1.40922i
\(167\) 3.00243 10.2253i 0.232335 0.791260i −0.757963 0.652298i \(-0.773805\pi\)
0.990298 0.138962i \(-0.0443767\pi\)
\(168\) −6.56194 0.0621941i −0.506265 0.00479838i
\(169\) 4.84788 + 10.6154i 0.372913 + 0.816567i
\(170\) −0.605193 0.698430i −0.0464162 0.0535671i
\(171\) 0.894844 + 0.575082i 0.0684305 + 0.0439776i
\(172\) −3.04704 0.438098i −0.232334 0.0334047i
\(173\) −3.49042 0.501847i −0.265372 0.0381547i 0.00834439 0.999965i \(-0.497344\pi\)
−0.273716 + 0.961810i \(0.588253\pi\)
\(174\) −5.93794 + 9.23962i −0.450154 + 0.700454i
\(175\) 12.8989 1.72997i 0.975069 0.130774i
\(176\) 4.04484 1.84722i 0.304891 0.139239i
\(177\) −2.70622 + 1.73918i −0.203412 + 0.130725i
\(178\) 18.9084 + 5.55200i 1.41724 + 0.416140i
\(179\) −7.45722 + 8.60609i −0.557379 + 0.643249i −0.962586 0.270976i \(-0.912654\pi\)
0.405208 + 0.914225i \(0.367199\pi\)
\(180\) −0.108815 + 0.0319510i −0.00811060 + 0.00238149i
\(181\) −1.32345 + 2.89795i −0.0983712 + 0.215403i −0.952419 0.304791i \(-0.901413\pi\)
0.854048 + 0.520194i \(0.174141\pi\)
\(182\) −2.00370 + 4.27968i −0.148524 + 0.317231i
\(183\) 10.1149i 0.747715i
\(184\) −10.1193 + 6.25239i −0.746004 + 0.460932i
\(185\) 0.763267i 0.0561165i
\(186\) −2.20767 15.3547i −0.161874 1.12586i
\(187\) −1.82843 0.835017i −0.133708 0.0610625i
\(188\) −1.16562 3.96974i −0.0850116 0.289523i
\(189\) 2.54553 0.721301i 0.185160 0.0524669i
\(190\) −0.449867 0.132093i −0.0326368 0.00958303i
\(191\) 3.91702 + 6.09500i 0.283426 + 0.441019i 0.953552 0.301228i \(-0.0973965\pi\)
−0.670127 + 0.742247i \(0.733760\pi\)
\(192\) −5.30706 + 2.42365i −0.383004 + 0.174912i
\(193\) −11.5020 13.2741i −0.827935 0.955487i 0.171625 0.985162i \(-0.445098\pi\)
−0.999560 + 0.0296749i \(0.990553\pi\)
\(194\) −12.1674 7.81953i −0.873571 0.561410i
\(195\) 0.0467130 0.324896i 0.00334519 0.0232663i
\(196\) 2.69070 0.734960i 0.192193 0.0524971i
\(197\) −8.97520 5.76801i −0.639457 0.410954i 0.180343 0.983604i \(-0.442279\pi\)
−0.819800 + 0.572650i \(0.805915\pi\)
\(198\) −1.12211 + 0.972312i −0.0797447 + 0.0690992i
\(199\) −4.95744 10.8553i −0.351424 0.769510i −0.999965 0.00833113i \(-0.997348\pi\)
0.648542 0.761179i \(-0.275379\pi\)
\(200\) 10.2637 6.59611i 0.725757 0.466416i
\(201\) 0.566564 + 0.166358i 0.0399624 + 0.0117340i
\(202\) −18.3440 15.8952i −1.29068 1.11838i
\(203\) −5.45662 + 17.9524i −0.382980 + 1.26001i
\(204\) −0.759944 0.347055i −0.0532067 0.0242987i
\(205\) −1.66992 + 0.240098i −0.116632 + 0.0167692i
\(206\) 25.3686 1.76752
\(207\) 3.20442 3.56815i 0.222722 0.248004i
\(208\) 5.34907i 0.370891i
\(209\) −1.00941 + 0.145131i −0.0698223 + 0.0100389i
\(210\) −0.986996 + 0.621166i −0.0681092 + 0.0428645i
\(211\) −2.65683 + 0.780116i −0.182904 + 0.0537054i −0.371902 0.928272i \(-0.621294\pi\)
0.188998 + 0.981977i \(0.439476\pi\)
\(212\) −0.701266 0.607651i −0.0481632 0.0417336i
\(213\) 2.73035 9.29871i 0.187080 0.637137i
\(214\) −1.71510 2.66875i −0.117242 0.182432i
\(215\) 2.00009 0.913410i 0.136405 0.0622940i
\(216\) 1.87448 1.62425i 0.127542 0.110516i
\(217\) −10.7801 24.2097i −0.731798 1.64346i
\(218\) −17.7973 2.55886i −1.20538 0.173308i
\(219\) −0.661281 + 4.59931i −0.0446853 + 0.310793i
\(220\) 0.0587822 0.0914670i 0.00396310 0.00616670i
\(221\) 1.82740 1.58345i 0.122924 0.106515i
\(222\) −1.72532 3.77793i −0.115796 0.253558i
\(223\) 3.79360 + 5.90295i 0.254038 + 0.395291i 0.944725 0.327862i \(-0.106328\pi\)
−0.690687 + 0.723154i \(0.742692\pi\)
\(224\) 4.48029 3.80845i 0.299352 0.254463i
\(225\) −3.22126 + 3.71753i −0.214750 + 0.247835i
\(226\) −2.41162 8.21321i −0.160418 0.546334i
\(227\) −6.69816 + 14.6669i −0.444572 + 0.973478i 0.546164 + 0.837678i \(0.316088\pi\)
−0.990736 + 0.135799i \(0.956640\pi\)
\(228\) −0.419537 + 0.0603203i −0.0277845 + 0.00399481i
\(229\) −22.4029 −1.48043 −0.740214 0.672371i \(-0.765276\pi\)
−0.740214 + 0.672371i \(0.765276\pi\)
\(230\) −0.912129 + 1.90699i −0.0601440 + 0.125743i
\(231\) −1.39151 + 2.12077i −0.0915546 + 0.139536i
\(232\) 2.50330 + 17.4109i 0.164350 + 1.14308i
\(233\) −0.724928 + 1.58737i −0.0474916 + 0.103992i −0.931891 0.362740i \(-0.881841\pi\)
0.884399 + 0.466732i \(0.154569\pi\)
\(234\) −0.503196 1.71373i −0.0328949 0.112030i
\(235\) 2.23337 + 1.93523i 0.145689 + 0.126240i
\(236\) 0.361132 1.22990i 0.0235077 0.0800599i
\(237\) −2.91566 + 1.87378i −0.189393 + 0.121715i
\(238\) −8.49150 1.30315i −0.550422 0.0844707i
\(239\) −0.699689 0.807484i −0.0452591 0.0522318i 0.732669 0.680586i \(-0.238275\pi\)
−0.777928 + 0.628354i \(0.783729\pi\)
\(240\) −0.713690 + 1.11052i −0.0460685 + 0.0716839i
\(241\) 2.92441 20.3397i 0.188378 1.31020i −0.647830 0.761785i \(-0.724323\pi\)
0.836208 0.548412i \(-0.184768\pi\)
\(242\) −2.22185 + 15.4533i −0.142826 + 0.993376i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) −2.63939 3.04602i −0.168970 0.195001i
\(245\) −1.33298 + 1.48067i −0.0851609 + 0.0945968i
\(246\) −7.72285 + 4.96317i −0.492391 + 0.316440i
\(247\) 0.345613 1.17705i 0.0219909 0.0748940i
\(248\) −18.7758 16.2693i −1.19226 1.03310i
\(249\) 4.37044 + 14.8844i 0.276965 + 0.943257i
\(250\) 1.81623 3.97700i 0.114869 0.251527i
\(251\) −0.595473 4.14161i −0.0375859 0.261416i 0.962360 0.271776i \(-0.0876111\pi\)
−0.999946 + 0.0103607i \(0.996702\pi\)
\(252\) −0.578348 + 0.881446i −0.0364325 + 0.0555259i
\(253\) −0.0815824 + 4.59711i −0.00512904 + 0.289018i
\(254\) −10.9353 −0.686141
\(255\) 0.590656 0.0849236i 0.0369883 0.00531812i
\(256\) 3.82548 8.37664i 0.239093 0.523540i
\(257\) −5.95942 20.2959i −0.371739 1.26603i −0.906925 0.421291i \(-0.861577\pi\)
0.535187 0.844734i \(-0.320241\pi\)
\(258\) 7.83510 9.04218i 0.487792 0.562942i
\(259\) −4.59540 5.40606i −0.285544 0.335916i
\(260\) 0.0707114 + 0.110029i 0.00438533 + 0.00682371i
\(261\) −2.94607 6.45099i −0.182357 0.399306i
\(262\) 6.92956 6.00450i 0.428110 0.370959i
\(263\) −10.0564 + 15.6481i −0.620106 + 0.964905i 0.379111 + 0.925351i \(0.376230\pi\)
−0.999217 + 0.0395533i \(0.987407\pi\)
\(264\) −0.338410 + 2.35369i −0.0208277 + 0.144860i
\(265\) 0.656031 + 0.0943230i 0.0402997 + 0.00579422i
\(266\) −3.98161 + 1.77293i −0.244128 + 0.108705i
\(267\) −9.61664 + 8.33287i −0.588529 + 0.509963i
\(268\) −0.214026 + 0.0977422i −0.0130737 + 0.00597055i
\(269\) −7.93043 12.3400i −0.483527 0.752383i 0.510691 0.859764i \(-0.329390\pi\)
−0.994218 + 0.107382i \(0.965753\pi\)
\(270\) 0.124182 0.422925i 0.00755748 0.0257384i
\(271\) −18.2716 15.8325i −1.10992 0.961754i −0.110439 0.993883i \(-0.535226\pi\)
−0.999484 + 0.0321292i \(0.989771\pi\)
\(272\) −9.33062 + 2.73972i −0.565752 + 0.166120i
\(273\) −1.62524 2.58242i −0.0983642 0.156295i
\(274\) 16.8759 2.42638i 1.01951 0.146583i
\(275\) 4.71592i 0.284381i
\(276\) −0.0339078 + 1.91068i −0.00204101 + 0.115009i
\(277\) −1.87554 −0.112690 −0.0563451 0.998411i \(-0.517945\pi\)
−0.0563451 + 0.998411i \(0.517945\pi\)
\(278\) 11.4392 1.64471i 0.686078 0.0986432i
\(279\) 9.11136 + 4.16102i 0.545483 + 0.249114i
\(280\) −0.543152 + 1.78698i −0.0324595 + 0.106792i
\(281\) −18.5153 16.0436i −1.10453 0.957079i −0.105226 0.994448i \(-0.533557\pi\)
−0.999302 + 0.0373694i \(0.988102\pi\)
\(282\) 15.4290 + 4.53035i 0.918781 + 0.269778i
\(283\) −7.54577 + 4.84937i −0.448549 + 0.288265i −0.745349 0.666675i \(-0.767717\pi\)
0.296800 + 0.954940i \(0.404081\pi\)
\(284\) 1.60419 + 3.51269i 0.0951912 + 0.208440i
\(285\) 0.228799 0.198255i 0.0135529 0.0117436i
\(286\) 1.44051 + 0.925760i 0.0851792 + 0.0547413i
\(287\) −10.3821 + 11.7546i −0.612838 + 0.693855i
\(288\) −0.316298 + 2.19990i −0.0186381 + 0.129631i
\(289\) −10.6033 6.81430i −0.623721 0.400841i
\(290\) 2.04706 + 2.36244i 0.120208 + 0.138727i
\(291\) 8.49515 3.87960i 0.497994 0.227426i
\(292\) −1.00101 1.55760i −0.0585796 0.0911516i
\(293\) 27.2336 + 7.99650i 1.59100 + 0.467160i 0.953024 0.302894i \(-0.0979528\pi\)
0.637978 + 0.770054i \(0.279771\pi\)
\(294\) −3.25084 + 10.3420i −0.189593 + 0.603158i
\(295\) 0.257946 + 0.878484i 0.0150182 + 0.0511473i
\(296\) −6.05048 2.76316i −0.351677 0.160606i
\(297\) −0.136439 0.948957i −0.00791702 0.0550641i
\(298\) 21.4536i 1.24277i
\(299\) −4.98954 2.38653i −0.288552 0.138017i
\(300\) 1.96006i 0.113164i
\(301\) 8.66685 18.5114i 0.499549 1.06698i
\(302\) 6.19474 13.5646i 0.356467 0.780555i
\(303\) 15.0380 4.41556i 0.863912 0.253668i
\(304\) −3.23084 + 3.72859i −0.185301 + 0.213849i
\(305\) 2.76222 + 0.811062i 0.158164 + 0.0464413i
\(306\) 2.73160 1.75549i 0.156155 0.100355i
\(307\) 19.5832 8.94335i 1.11767 0.510424i 0.231061 0.972939i \(-0.425780\pi\)
0.886611 + 0.462515i \(0.153053\pi\)
\(308\) −0.134352 1.00175i −0.00765544 0.0570801i
\(309\) −8.85603 + 13.7803i −0.503802 + 0.783931i
\(310\) −4.37015 0.628333i −0.248208 0.0356869i
\(311\) 8.24013 + 1.18475i 0.467255 + 0.0671811i 0.371921 0.928264i \(-0.378699\pi\)
0.0953336 + 0.995445i \(0.469608\pi\)
\(312\) −2.40637 1.54648i −0.136234 0.0875522i
\(313\) −8.74108 10.0877i −0.494075 0.570193i 0.452875 0.891574i \(-0.350398\pi\)
−0.946950 + 0.321381i \(0.895853\pi\)
\(314\) 11.6031 + 25.4072i 0.654799 + 1.43381i
\(315\) 0.00713676 0.752982i 0.000402111 0.0424257i
\(316\) 0.389081 1.32509i 0.0218875 0.0745421i
\(317\) −20.6775 + 23.8631i −1.16136 + 1.34029i −0.231304 + 0.972882i \(0.574299\pi\)
−0.930061 + 0.367405i \(0.880246\pi\)
\(318\) 3.46036 1.01605i 0.194047 0.0569774i
\(319\) 6.18466 + 2.82444i 0.346275 + 0.158138i
\(320\) 0.236316 + 1.64362i 0.0132105 + 0.0918809i
\(321\) 2.04840 0.114330
\(322\) 5.02101 + 18.9985i 0.279810 + 1.05874i
\(323\) 2.23020 0.124092
\(324\) −0.0567078 0.394411i −0.00315043 0.0219117i
\(325\) 5.16030 + 2.35663i 0.286242 + 0.130722i
\(326\) −9.00900 + 2.64528i −0.498962 + 0.146509i
\(327\) 7.60289 8.77421i 0.420441 0.485215i
\(328\) −4.14213 + 14.1068i −0.228711 + 0.778917i
\(329\) 27.4699 + 0.260360i 1.51447 + 0.0143541i
\(330\) 0.175547 + 0.384395i 0.00966355 + 0.0211602i
\(331\) 3.71218 + 4.28408i 0.204040 + 0.235474i 0.848542 0.529128i \(-0.177481\pi\)
−0.644502 + 0.764602i \(0.722935\pi\)
\(332\) −5.20005 3.34187i −0.285390 0.183409i
\(333\) 2.65447 + 0.381656i 0.145464 + 0.0209146i
\(334\) −16.3365 2.34884i −0.893894 0.128523i
\(335\) 0.0908597 0.141380i 0.00496419 0.00772444i
\(336\) 1.63121 + 12.1625i 0.0889896 + 0.663520i
\(337\) 25.8166 11.7900i 1.40632 0.642245i 0.439626 0.898181i \(-0.355111\pi\)
0.966694 + 0.255936i \(0.0823838\pi\)
\(338\) 15.2042 9.77113i 0.826998 0.531480i
\(339\) 5.30330 + 1.55719i 0.288036 + 0.0845749i
\(340\) −0.155711 + 0.179700i −0.00844462 + 0.00974561i
\(341\) −9.21402 + 2.70548i −0.498967 + 0.146510i
\(342\) 0.684336 1.49849i 0.0370047 0.0810289i
\(343\) −0.526519 + 18.5128i −0.0284293 + 0.999596i
\(344\) 19.1616i 1.03312i
\(345\) −0.717461 1.16119i −0.0386268 0.0625163i
\(346\) 5.46120i 0.293596i
\(347\) −1.92940 13.4192i −0.103575 0.720383i −0.973747 0.227634i \(-0.926901\pi\)
0.870171 0.492749i \(-0.164008\pi\)
\(348\) 2.57051 + 1.17391i 0.137794 + 0.0629282i
\(349\) 2.68025 + 9.12810i 0.143471 + 0.488616i 0.999604 0.0281388i \(-0.00895805\pi\)
−0.856133 + 0.516755i \(0.827140\pi\)
\(350\) −5.49490 19.3920i −0.293715 1.03654i
\(351\) 1.10656 + 0.324915i 0.0590638 + 0.0173427i
\(352\) −1.15198 1.79252i −0.0614008 0.0955415i
\(353\) 2.25889 1.03160i 0.120229 0.0549065i −0.354393 0.935097i \(-0.615312\pi\)
0.474621 + 0.880190i \(0.342585\pi\)
\(354\) 3.26252 + 3.76515i 0.173401 + 0.200115i
\(355\) −2.32040 1.49123i −0.123154 0.0791463i
\(356\) 0.721586 5.01874i 0.0382440 0.265993i
\(357\) 3.67220 4.15766i 0.194353 0.220047i
\(358\) 14.8362 + 9.53462i 0.784116 + 0.503920i
\(359\) 11.7069 10.1441i 0.617868 0.535386i −0.288714 0.957415i \(-0.593228\pi\)
0.906582 + 0.422030i \(0.138682\pi\)
\(360\) −0.293251 0.642131i −0.0154557 0.0338433i
\(361\) −15.0320 + 9.66046i −0.791156 + 0.508445i
\(362\) 4.73406 + 1.39005i 0.248817 + 0.0730592i
\(363\) −7.61861 6.60156i −0.399873 0.346492i
\(364\) 1.16329 + 0.353581i 0.0609727 + 0.0185327i
\(365\) 1.20298 + 0.549381i 0.0629666 + 0.0287559i
\(366\) 15.5055 2.22935i 0.810485 0.116530i
\(367\) 15.3351 0.800483 0.400242 0.916410i \(-0.368926\pi\)
0.400242 + 0.916410i \(0.368926\pi\)
\(368\) 14.2660 + 17.0666i 0.743668 + 0.889657i
\(369\) 5.92766i 0.308582i
\(370\) −1.17004 + 0.168226i −0.0608274 + 0.00874566i
\(371\) 5.21442 3.28169i 0.270719 0.170377i
\(372\) −3.82959 + 1.12447i −0.198555 + 0.0583010i
\(373\) −21.6343 18.7463i −1.12018 0.970644i −0.120427 0.992722i \(-0.538426\pi\)
−0.999756 + 0.0220777i \(0.992972\pi\)
\(374\) −0.877035 + 2.98691i −0.0453504 + 0.154449i
\(375\) 1.52627 + 2.37492i 0.0788163 + 0.122641i
\(376\) 23.4259 10.6982i 1.20810 0.551720i
\(377\) −6.18118 + 5.35602i −0.318347 + 0.275849i
\(378\) −1.66675 3.74316i −0.0857284 0.192527i
\(379\) 21.0580 + 3.02769i 1.08168 + 0.155522i 0.660032 0.751238i \(-0.270543\pi\)
0.421648 + 0.906760i \(0.361452\pi\)
\(380\) −0.0171679 + 0.119406i −0.000880697 + 0.00612538i
\(381\) 3.81744 5.94005i 0.195573 0.304318i
\(382\) 8.47992 7.34789i 0.433870 0.375951i
\(383\) 5.59484 + 12.2510i 0.285883 + 0.625997i 0.997027 0.0770495i \(-0.0245499\pi\)
−0.711144 + 0.703046i \(0.751823\pi\)
\(384\) 7.28817 + 11.3406i 0.371923 + 0.578723i
\(385\) 0.467570 + 0.550053i 0.0238296 + 0.0280333i
\(386\) −17.8132 + 20.5575i −0.906667 + 1.04635i
\(387\) 2.17653 + 7.41260i 0.110639 + 0.376803i
\(388\) −1.54589 + 3.38504i −0.0784809 + 0.171849i
\(389\) 6.83198 0.982291i 0.346395 0.0498041i 0.0330783 0.999453i \(-0.489469\pi\)
0.313317 + 0.949649i \(0.398560\pi\)
\(390\) −0.508341 −0.0257408
\(391\) 1.60737 9.92581i 0.0812880 0.501970i
\(392\) 6.91181 + 15.9269i 0.349099 + 0.804432i
\(393\) 0.842580 + 5.86027i 0.0425025 + 0.295612i
\(394\) −6.86383 + 15.0297i −0.345795 + 0.757185i
\(395\) 0.277909 + 0.946471i 0.0139831 + 0.0476221i
\(396\) 0.288709 + 0.250168i 0.0145082 + 0.0125714i
\(397\) −0.714221 + 2.43241i −0.0358457 + 0.122079i −0.975472 0.220122i \(-0.929354\pi\)
0.939627 + 0.342202i \(0.111173\pi\)
\(398\) −15.5478 + 9.99197i −0.779341 + 0.500852i
\(399\) 0.426899 2.78173i 0.0213717 0.139261i
\(400\) −14.9407 17.2425i −0.747035 0.862124i
\(401\) −3.21561 + 5.00358i −0.160580 + 0.249867i −0.912215 0.409712i \(-0.865629\pi\)
0.751635 + 0.659579i \(0.229266\pi\)
\(402\) 0.130144 0.905172i 0.00649100 0.0451459i
\(403\) 1.64400 11.4342i 0.0818933 0.569580i
\(404\) −3.37637 + 5.25374i −0.167981 + 0.261383i
\(405\) 0.186382 + 0.215096i 0.00926140 + 0.0106882i
\(406\) 28.7224 + 4.40790i 1.42547 + 0.218761i
\(407\) −2.16291 + 1.39002i −0.107211 + 0.0689006i
\(408\) 1.46509 4.98962i 0.0725325 0.247023i
\(409\) −24.6758 21.3817i −1.22014 1.05726i −0.996586 0.0825642i \(-0.973689\pi\)
−0.223553 0.974692i \(-0.571765\pi\)
\(410\) 0.736110 + 2.50696i 0.0363539 + 0.123810i
\(411\) −4.57325 + 10.0140i −0.225582 + 0.493955i
\(412\) −0.928909 6.46070i −0.0457640 0.318296i
\(413\) 7.11606 + 4.66910i 0.350159 + 0.229752i
\(414\) −6.17601 4.12573i −0.303534 0.202769i
\(415\) 4.41513 0.216730
\(416\) 2.53709 0.364779i 0.124391 0.0178848i
\(417\) −3.09995 + 6.78794i −0.151805 + 0.332407i
\(418\) 0.444953 + 1.51537i 0.0217634 + 0.0741192i
\(419\) 3.06941 3.54229i 0.149951 0.173052i −0.675805 0.737081i \(-0.736204\pi\)
0.825755 + 0.564028i \(0.190749\pi\)
\(420\) 0.194334 + 0.228616i 0.00948254 + 0.0111553i
\(421\) 2.44647 + 3.80678i 0.119234 + 0.185531i 0.895740 0.444578i \(-0.146646\pi\)
−0.776506 + 0.630109i \(0.783010\pi\)
\(422\) 1.78144 + 3.90081i 0.0867191 + 0.189888i
\(423\) −7.84704 + 6.79949i −0.381536 + 0.330603i
\(424\) 3.12266 4.85895i 0.151650 0.235971i
\(425\) −1.46774 + 10.2084i −0.0711959 + 0.495179i
\(426\) −14.8561 2.13598i −0.719780 0.103489i
\(427\) 24.4474 10.8859i 1.18309 0.526807i
\(428\) −0.616858 + 0.534510i −0.0298169 + 0.0258365i
\(429\) −1.00575 + 0.459309i −0.0485579 + 0.0221756i
\(430\) −1.84102 2.86469i −0.0887820 0.138147i
\(431\) 5.28790 18.0089i 0.254709 0.867460i −0.728511 0.685035i \(-0.759787\pi\)
0.983220 0.182425i \(-0.0583947\pi\)
\(432\) −3.50529 3.03735i −0.168648 0.146134i
\(433\) −20.6917 + 6.07563i −0.994379 + 0.291976i −0.738148 0.674639i \(-0.764299\pi\)
−0.256232 + 0.966615i \(0.582481\pi\)
\(434\) −34.7359 + 21.8610i −1.66738 + 1.04936i
\(435\) −1.99789 + 0.287254i −0.0957916 + 0.0137728i
\(436\) 4.62618i 0.221554i
\(437\) −2.03650 4.67722i −0.0974192 0.223742i
\(438\) 7.19620 0.343848
\(439\) 4.44607 0.639248i 0.212199 0.0305097i −0.0353952 0.999373i \(-0.511269\pi\)
0.247595 + 0.968864i \(0.420360\pi\)
\(440\) 0.615621 + 0.281145i 0.0293486 + 0.0134030i
\(441\) −4.48293 5.37618i −0.213473 0.256009i
\(442\) −2.83009 2.45229i −0.134614 0.116644i
\(443\) −12.0263 3.53125i −0.571389 0.167775i −0.0167405 0.999860i \(-0.505329\pi\)
−0.554648 + 0.832085i \(0.687147\pi\)
\(444\) −0.898961 + 0.577727i −0.0426628 + 0.0274177i
\(445\) 1.50447 + 3.29432i 0.0713186 + 0.156166i
\(446\) 8.21273 7.11637i 0.388884 0.336970i
\(447\) 11.6536 + 7.48931i 0.551196 + 0.354232i
\(448\) 11.5695 + 10.2186i 0.546607 + 0.482783i
\(449\) −2.99979 + 20.8640i −0.141569 + 0.984632i 0.787919 + 0.615779i \(0.211158\pi\)
−0.929488 + 0.368853i \(0.879751\pi\)
\(450\) 6.40870 + 4.11862i 0.302109 + 0.194154i
\(451\) 3.72154 + 4.29488i 0.175240 + 0.202238i
\(452\) −2.00338 + 0.914911i −0.0942309 + 0.0430338i
\(453\) 5.20575 + 8.10030i 0.244587 + 0.380585i
\(454\) 23.9597 + 7.03521i 1.12449 + 0.330179i
\(455\) −0.835538 + 0.236758i −0.0391706 + 0.0110994i
\(456\) −0.743294 2.53143i −0.0348079 0.118545i
\(457\) 18.9936 + 8.67407i 0.888482 + 0.405756i 0.806746 0.590898i \(-0.201226\pi\)
0.0817354 + 0.996654i \(0.473954\pi\)
\(458\) 4.93767 + 34.3423i 0.230722 + 1.60471i
\(459\) 2.09664i 0.0978626i
\(460\) 0.519058 + 0.162467i 0.0242012 + 0.00757507i
\(461\) 25.4989i 1.18760i 0.804611 + 0.593802i \(0.202374\pi\)
−0.804611 + 0.593802i \(0.797626\pi\)
\(462\) 3.55769 + 1.66567i 0.165519 + 0.0774941i
\(463\) 7.38102 16.1622i 0.343025 0.751120i −0.656971 0.753916i \(-0.728163\pi\)
0.999996 + 0.00279586i \(0.000889950\pi\)
\(464\) 31.5608 9.26708i 1.46517 0.430213i
\(465\) 1.86690 2.15452i 0.0865755 0.0999135i
\(466\) 2.59311 + 0.761407i 0.120124 + 0.0352715i
\(467\) 2.82895 1.81805i 0.130908 0.0841295i −0.473548 0.880768i \(-0.657027\pi\)
0.604456 + 0.796639i \(0.293391\pi\)
\(468\) −0.418014 + 0.190901i −0.0193227 + 0.00882439i
\(469\) −0.207669 1.54841i −0.00958924 0.0714988i
\(470\) 2.47433 3.85014i 0.114133 0.177594i
\(471\) −17.8518 2.56669i −0.822565 0.118267i
\(472\) 7.89763 + 1.13551i 0.363518 + 0.0522659i
\(473\) −6.23082 4.00430i −0.286493 0.184118i
\(474\) 3.51501 + 4.05654i 0.161450 + 0.186323i
\(475\) 2.17360 + 4.75952i 0.0997315 + 0.218382i
\(476\) −0.0209489 + 2.21027i −0.000960193 + 0.101308i
\(477\) −0.656069 + 2.23437i −0.0300393 + 0.102305i
\(478\) −1.08361 + 1.25055i −0.0495630 + 0.0571988i
\(479\) −11.7156 + 3.44002i −0.535300 + 0.157178i −0.538200 0.842817i \(-0.680895\pi\)
0.00289923 + 0.999996i \(0.499077\pi\)
\(480\) 0.575397 + 0.262775i 0.0262632 + 0.0119940i
\(481\) −0.440154 3.06134i −0.0200693 0.139585i
\(482\) −31.8240 −1.44955
\(483\) −12.0728 3.90484i −0.549331 0.177676i
\(484\) 4.01689 0.182586
\(485\) −0.378277 2.63098i −0.0171767 0.119466i
\(486\) 1.40875 + 0.643353i 0.0639020 + 0.0291831i
\(487\) −14.0820 + 4.13484i −0.638114 + 0.187367i −0.584757 0.811208i \(-0.698810\pi\)
−0.0533570 + 0.998576i \(0.516992\pi\)
\(488\) 16.4291 18.9602i 0.743710 0.858287i
\(489\) 1.70807 5.81714i 0.0772415 0.263060i
\(490\) 2.56357 + 1.71702i 0.115810 + 0.0775673i
\(491\) −11.2592 24.6541i −0.508119 1.11262i −0.973745 0.227643i \(-0.926898\pi\)
0.465626 0.884982i \(-0.345829\pi\)
\(492\) 1.54677 + 1.78507i 0.0697337 + 0.0804769i
\(493\) −12.5087 8.03882i −0.563361 0.362050i
\(494\) −1.88052 0.270378i −0.0846085 0.0121649i
\(495\) −0.270086 0.0388325i −0.0121394 0.00174539i
\(496\) −25.1172 + 39.0832i −1.12780 + 1.75489i
\(497\) −25.4132 + 3.40835i −1.13994 + 0.152885i
\(498\) 21.8535 9.98015i 0.979278 0.447221i
\(499\) −20.3350 + 13.0685i −0.910321 + 0.585028i −0.909834 0.414972i \(-0.863791\pi\)
−0.000487009 1.00000i \(0.500155\pi\)
\(500\) −1.07934 0.316922i −0.0482694 0.0141732i
\(501\) 6.97886 8.05404i 0.311793 0.359828i
\(502\) −6.21757 + 1.82564i −0.277504 + 0.0814824i
\(503\) 5.04358 11.0439i 0.224882 0.492423i −0.763236 0.646120i \(-0.776391\pi\)
0.988118 + 0.153697i \(0.0491180\pi\)
\(504\) −5.94311 2.78250i −0.264727 0.123942i
\(505\) 4.46071i 0.198499i
\(506\) 7.06506 0.888156i 0.314080 0.0394834i
\(507\) 11.6700i 0.518281i
\(508\) 0.400411 + 2.78492i 0.0177654 + 0.123561i
\(509\) −26.1805 11.9562i −1.16043 0.529950i −0.260281 0.965533i \(-0.583815\pi\)
−0.900149 + 0.435583i \(0.856542\pi\)
\(510\) −0.260365 0.886721i −0.0115291 0.0392646i
\(511\) 11.8281 3.35160i 0.523244 0.148266i
\(512\) 12.1851 + 3.57787i 0.538511 + 0.158121i
\(513\) 0.575082 + 0.894844i 0.0253905 + 0.0395083i
\(514\) −29.7989 + 13.6087i −1.31437 + 0.600253i
\(515\) 3.05305 + 3.52341i 0.134534 + 0.155260i
\(516\) −2.58969 1.66429i −0.114005 0.0732664i
\(517\) 1.41667 9.85313i 0.0623049 0.433340i
\(518\) −7.27430 + 8.23596i −0.319615 + 0.361867i
\(519\) −2.96653 1.90647i −0.130216 0.0836848i
\(520\) −0.615274 + 0.533138i −0.0269815 + 0.0233796i
\(521\) −8.17108 17.8922i −0.357982 0.783871i −0.999854 0.0170594i \(-0.994570\pi\)
0.641873 0.766811i \(-0.278158\pi\)
\(522\) −9.23962 + 5.93794i −0.404407 + 0.259897i
\(523\) 26.0554 + 7.65055i 1.13932 + 0.334535i 0.796366 0.604816i \(-0.206753\pi\)
0.342957 + 0.939351i \(0.388571\pi\)
\(524\) −1.78292 1.54491i −0.0778872 0.0674896i
\(525\) 12.4520 + 3.78478i 0.543448 + 0.165181i
\(526\) 26.2040 + 11.9670i 1.14255 + 0.521785i
\(527\) 20.7873 2.98876i 0.905508 0.130192i
\(528\) 4.44667 0.193517
\(529\) −22.2844 + 5.69275i −0.968885 + 0.247511i
\(530\) 1.02644i 0.0445858i
\(531\) −3.18415 + 0.457812i −0.138180 + 0.0198673i
\(532\) 0.597309 + 0.949089i 0.0258966 + 0.0411482i
\(533\) −6.55931 + 1.92599i −0.284115 + 0.0834238i
\(534\) 14.8933 + 12.9051i 0.644495 + 0.558458i
\(535\) 0.164250 0.559385i 0.00710116 0.0241843i
\(536\) −0.791806 1.23207i −0.0342008 0.0532175i
\(537\) −10.3584 + 4.73053i −0.446999 + 0.204138i
\(538\) −17.1685 + 14.8766i −0.740187 + 0.641376i
\(539\) 6.62340 + 1.08081i 0.285290 + 0.0465539i
\(540\) −0.112255 0.0161398i −0.00483067 0.000694546i
\(541\) 5.22449 36.3371i 0.224618 1.56225i −0.495627 0.868535i \(-0.665062\pi\)
0.720245 0.693719i \(-0.244029\pi\)
\(542\) −20.2430 + 31.4988i −0.869512 + 1.35299i
\(543\) −2.40770 + 2.08629i −0.103324 + 0.0895312i
\(544\) 1.93576 + 4.23873i 0.0829951 + 0.181734i
\(545\) −1.78646 2.77979i −0.0765236 0.119073i
\(546\) −3.60047 + 3.06057i −0.154086 + 0.130980i
\(547\) −7.41474 + 8.55707i −0.317031 + 0.365874i −0.891790 0.452449i \(-0.850550\pi\)
0.574759 + 0.818323i \(0.305096\pi\)
\(548\) −1.23587 4.20898i −0.0527937 0.179799i
\(549\) −4.20188 + 9.20084i −0.179332 + 0.392682i
\(550\) −7.22919 + 1.03940i −0.308254 + 0.0443202i
\(551\) −7.54364 −0.321370
\(552\) −11.8022 + 1.48366i −0.502334 + 0.0631489i
\(553\) 7.66679 + 5.03046i 0.326025 + 0.213917i
\(554\) 0.413374 + 2.87508i 0.0175626 + 0.122150i
\(555\) 0.317073 0.694292i 0.0134590 0.0294711i
\(556\) −0.837726 2.85303i −0.0355275 0.120996i
\(557\) −3.81601 3.30659i −0.161690 0.140105i 0.570258 0.821465i \(-0.306843\pi\)
−0.731948 + 0.681361i \(0.761389\pi\)
\(558\) 4.37040 14.8842i 0.185014 0.630100i
\(559\) 7.49529 4.81693i 0.317017 0.203734i
\(560\) 3.45219 + 0.529792i 0.145882 + 0.0223878i
\(561\) −1.31632 1.51912i −0.0555751 0.0641371i
\(562\) −20.5129 + 31.9187i −0.865286 + 1.34641i
\(563\) 1.62987 11.3360i 0.0686909 0.477756i −0.926219 0.376986i \(-0.876960\pi\)
0.994910 0.100770i \(-0.0321305\pi\)
\(564\) 0.588804 4.09522i 0.0247931 0.172440i
\(565\) 0.850487 1.32338i 0.0357803 0.0556752i
\(566\) 9.09688 + 10.4984i 0.382370 + 0.441279i
\(567\) 2.61514 + 0.401333i 0.109825 + 0.0168544i
\(568\) −20.2214 + 12.9955i −0.848470 + 0.545279i
\(569\) 2.87574 9.79387i 0.120557 0.410580i −0.876995 0.480499i \(-0.840456\pi\)
0.997553 + 0.0699184i \(0.0222739\pi\)
\(570\) −0.354340 0.307037i −0.0148417 0.0128604i
\(571\) 0.781081 + 2.66012i 0.0326872 + 0.111322i 0.974221 0.225597i \(-0.0724332\pi\)
−0.941534 + 0.336919i \(0.890615\pi\)
\(572\) 0.183020 0.400757i 0.00765243 0.0167565i
\(573\) 1.03109 + 7.17140i 0.0430745 + 0.299589i
\(574\) 20.3074 + 13.3244i 0.847613 + 0.556149i
\(575\) 22.7495 6.24359i 0.948718 0.260376i
\(576\) −5.83429 −0.243096
\(577\) −42.2832 + 6.07941i −1.76027 + 0.253089i −0.945252 0.326341i \(-0.894184\pi\)
−0.815022 + 0.579430i \(0.803275\pi\)
\(578\) −8.10889 + 17.7560i −0.337285 + 0.738552i
\(579\) −4.94838 16.8526i −0.205648 0.700371i
\(580\) 0.526692 0.607835i 0.0218697 0.0252390i
\(581\) 31.2714 26.5821i 1.29736 1.10281i
\(582\) −7.81953 12.1674i −0.324130 0.504356i
\(583\) −0.927437 2.03080i −0.0384105 0.0841073i
\(584\) 8.70997 7.54723i 0.360421 0.312307i
\(585\) 0.177458 0.276131i 0.00733700 0.0114166i
\(586\) 6.25576 43.5098i 0.258423 1.79737i
\(587\) 29.9647 + 4.30828i 1.23678 + 0.177822i 0.729511 0.683969i \(-0.239748\pi\)
0.507265 + 0.861790i \(0.330657\pi\)
\(588\) 2.75286 + 0.449214i 0.113526 + 0.0185253i
\(589\) 8.05223 6.97730i 0.331786 0.287495i
\(590\) 1.28981 0.589035i 0.0531005 0.0242502i
\(591\) −5.76801 8.97520i −0.237264 0.369191i
\(592\) −3.50432 + 11.9346i −0.144027 + 0.490510i
\(593\) 4.32769 + 3.74996i 0.177717 + 0.153993i 0.739177 0.673511i \(-0.235215\pi\)
−0.561460 + 0.827504i \(0.689760\pi\)
\(594\) −1.42462 + 0.418306i −0.0584528 + 0.0171633i
\(595\) −0.840938 1.33620i −0.0344751 0.0547789i
\(596\) −5.46364 + 0.785553i −0.223800 + 0.0321775i
\(597\) 11.9337i 0.488414i
\(598\) −2.55869 + 8.17463i −0.104633 + 0.334286i
\(599\) 17.9475 0.733313 0.366657 0.930356i \(-0.380502\pi\)
0.366657 + 0.930356i \(0.380502\pi\)
\(600\) 12.0764 1.73632i 0.493015 0.0708849i
\(601\) 4.29400 + 1.96100i 0.175156 + 0.0799910i 0.501063 0.865411i \(-0.332942\pi\)
−0.325907 + 0.945402i \(0.605670\pi\)
\(602\) −30.2870 9.20575i −1.23441 0.375198i
\(603\) 0.446257 + 0.386684i 0.0181730 + 0.0157470i
\(604\) −3.68136 1.08095i −0.149793 0.0439831i
\(605\) −2.41368 + 1.55118i −0.0981300 + 0.0630643i
\(606\) −10.0832 22.0791i −0.409602 0.896903i
\(607\) −11.0583 + 9.58206i −0.448842 + 0.388924i −0.849743 0.527198i \(-0.823243\pi\)
0.400901 + 0.916122i \(0.368697\pi\)
\(608\) 1.98881 + 1.27813i 0.0806571 + 0.0518352i
\(609\) −12.4212 + 14.0633i −0.503332 + 0.569873i
\(610\) 0.634503 4.41307i 0.0256903 0.178680i
\(611\) 10.0737 + 6.47395i 0.407537 + 0.261908i
\(612\) −0.547097 0.631384i −0.0221151 0.0255222i
\(613\) −35.0968 + 16.0282i −1.41755 + 0.647372i −0.969152 0.246463i \(-0.920732\pi\)
−0.448395 + 0.893835i \(0.648004\pi\)
\(614\) −18.0258 28.0486i −0.727461 1.13195i
\(615\) −1.61875 0.475309i −0.0652744 0.0191663i
\(616\) 6.05300 1.71518i 0.243882 0.0691065i
\(617\) 4.88463 + 16.6355i 0.196648 + 0.669721i 0.997488 + 0.0708423i \(0.0225687\pi\)
−0.800840 + 0.598879i \(0.795613\pi\)
\(618\) 23.0761 + 10.5385i 0.928258 + 0.423921i
\(619\) 6.64741 + 46.2338i 0.267182 + 1.85829i 0.474815 + 0.880086i \(0.342515\pi\)
−0.207633 + 0.978207i \(0.566576\pi\)
\(620\) 1.13597i 0.0456215i
\(621\) 4.39710 1.91454i 0.176450 0.0768279i
\(622\) 12.8927i 0.516950i
\(623\) 30.4900 + 14.2751i 1.22155 + 0.571919i
\(624\) −2.22209 + 4.86569i −0.0889546 + 0.194783i
\(625\) −22.8278 + 6.70284i −0.913111 + 0.268114i
\(626\) −13.5373 + 15.6229i −0.541059 + 0.624416i
\(627\) −0.978480 0.287308i −0.0390767 0.0114740i
\(628\) 6.04566 3.88531i 0.241248 0.155041i
\(629\) 5.11458 2.33575i 0.203932 0.0931326i
\(630\) −1.15585 + 0.155019i −0.0460500 + 0.00617611i
\(631\) 25.0562 38.9882i 0.997471 1.55210i 0.173994 0.984747i \(-0.444333\pi\)
0.823477 0.567349i \(-0.192031\pi\)
\(632\) 8.50884 + 1.22339i 0.338463 + 0.0486637i
\(633\) −2.74081 0.394069i −0.108937 0.0156628i
\(634\) 41.1380 + 26.4378i 1.63380 + 1.04998i
\(635\) −1.31603 1.51878i −0.0522252 0.0602711i
\(636\) −0.385467 0.844055i −0.0152848 0.0334690i
\(637\) −4.49249 + 6.70743i −0.177999 + 0.265758i
\(638\) 2.96657 10.1032i 0.117447 0.399989i
\(639\) 6.34644 7.32418i 0.251061 0.289740i
\(640\) 3.68134 1.08094i 0.145518 0.0427279i
\(641\) −25.9084 11.8320i −1.02332 0.467335i −0.168195 0.985754i \(-0.553794\pi\)
−0.855127 + 0.518418i \(0.826521\pi\)
\(642\) −0.451473 3.14006i −0.0178182 0.123928i
\(643\) 0.316414 0.0124781 0.00623907 0.999981i \(-0.498014\pi\)
0.00623907 + 0.999981i \(0.498014\pi\)
\(644\) 4.65455 1.97437i 0.183415 0.0778011i
\(645\) 2.19879 0.0865772
\(646\) −0.491542 3.41875i −0.0193395 0.134509i
\(647\) −15.9537 7.28580i −0.627204 0.286434i 0.0763449 0.997081i \(-0.475675\pi\)
−0.703549 + 0.710647i \(0.748402\pi\)
\(648\) 2.37982 0.698779i 0.0934882 0.0274506i
\(649\) 2.01965 2.33080i 0.0792781 0.0914918i
\(650\) 2.47522 8.42981i 0.0970860 0.330645i
\(651\) 0.251168 26.5001i 0.00984404 1.03862i
\(652\) 1.00356 + 2.19749i 0.0393024 + 0.0860602i
\(653\) 24.6147 + 28.4069i 0.963249 + 1.11165i 0.993696 + 0.112112i \(0.0357615\pi\)
−0.0304470 + 0.999536i \(0.509693\pi\)
\(654\) −15.1260 9.72088i −0.591473 0.380116i
\(655\) 1.66791 + 0.239809i 0.0651707 + 0.00937013i
\(656\) 27.2136 + 3.91273i 1.06251 + 0.152766i
\(657\) −2.51215 + 3.90898i −0.0980082 + 0.152504i
\(658\) −5.65533 42.1670i −0.220468 1.64384i
\(659\) −16.4099 + 7.49416i −0.639240 + 0.291931i −0.708546 0.705664i \(-0.750649\pi\)
0.0693063 + 0.997595i \(0.477921\pi\)
\(660\) 0.0914670 0.0587822i 0.00356035 0.00228810i
\(661\) 43.3166 + 12.7189i 1.68482 + 0.494708i 0.977278 0.211963i \(-0.0679857\pi\)
0.707542 + 0.706671i \(0.249804\pi\)
\(662\) 5.74904 6.63475i 0.223443 0.257867i
\(663\) 2.32005 0.681229i 0.0901034 0.0264567i
\(664\) 15.9835 34.9991i 0.620282 1.35823i
\(665\) −0.725416 0.339632i −0.0281304 0.0131704i
\(666\) 4.15325i 0.160935i
\(667\) −5.43691 + 33.5740i −0.210518 + 1.29999i
\(668\) 4.24647i 0.164301i
\(669\) 0.998603 + 6.94543i 0.0386082 + 0.268526i
\(670\) −0.236753 0.108121i −0.00914655 0.00417709i
\(671\) −2.73205 9.30451i −0.105470 0.359197i
\(672\) 5.65751 1.60311i 0.218243 0.0618413i
\(673\) −36.8862 10.8308i −1.42186 0.417495i −0.521726 0.853113i \(-0.674712\pi\)
−0.900132 + 0.435618i \(0.856530\pi\)
\(674\) −23.7634 36.9766i −0.915333 1.42429i
\(675\) −4.47448 + 2.04342i −0.172223 + 0.0786514i
\(676\) −3.04516 3.51431i −0.117122 0.135166i
\(677\) 37.0898 + 23.8362i 1.42548 + 0.916099i 0.999938 + 0.0111600i \(0.00355241\pi\)
0.425541 + 0.904939i \(0.360084\pi\)
\(678\) 1.21821 8.47282i 0.0467850 0.325397i
\(679\) −18.5196 16.3572i −0.710716 0.627731i
\(680\) −1.24511 0.800184i −0.0477478 0.0306856i
\(681\) −12.1857 + 10.5590i −0.466958 + 0.404621i
\(682\) 6.17812 + 13.5282i 0.236573 + 0.518022i
\(683\) 34.0485 21.8816i 1.30283 0.837278i 0.309312 0.950960i \(-0.399901\pi\)
0.993517 + 0.113683i \(0.0362647\pi\)
\(684\) −0.406682 0.119413i −0.0155499 0.00456586i
\(685\) 2.36796 + 2.05185i 0.0904753 + 0.0783973i
\(686\) 28.4949 3.27315i 1.08794 0.124969i
\(687\) −20.3784 9.30652i −0.777486 0.355066i
\(688\) −35.4675 + 5.09946i −1.35219 + 0.194415i
\(689\) 2.68563 0.102314
\(690\) −1.62190 + 1.35575i −0.0617445 + 0.0516125i
\(691\) 9.54135i 0.362970i 0.983394 + 0.181485i \(0.0580904\pi\)
−0.983394 + 0.181485i \(0.941910\pi\)
\(692\) 1.39082 0.199970i 0.0528710 0.00760170i
\(693\) −2.14676 + 1.35106i −0.0815487 + 0.0513226i
\(694\) −20.1456 + 5.91528i −0.764716 + 0.224541i
\(695\) 1.60511 + 1.39084i 0.0608854 + 0.0527575i
\(696\) −4.95564 + 16.8774i −0.187843 + 0.639735i
\(697\) −6.71917 10.4552i −0.254507 0.396020i
\(698\) 13.4020 6.12051i 0.507275 0.231665i
\(699\) −1.31884 + 1.14278i −0.0498830 + 0.0432238i
\(700\) −4.73740 + 2.10947i −0.179057 + 0.0797303i
\(701\) 7.28368 + 1.04724i 0.275101 + 0.0395535i 0.278484 0.960441i \(-0.410168\pi\)
−0.00338355 + 0.999994i \(0.501077\pi\)
\(702\) 0.254185 1.76790i 0.00959360 0.0667249i
\(703\) 1.54224 2.39977i 0.0581665 0.0905089i
\(704\) 4.22723 3.66292i 0.159320 0.138051i
\(705\) 1.22762 + 2.68812i 0.0462349 + 0.101240i
\(706\) −2.07924 3.23536i −0.0782533 0.121765i
\(707\) −26.8566 31.5943i −1.01005 1.18823i
\(708\) 0.839418 0.968740i 0.0315473 0.0364075i
\(709\) −9.70374 33.0479i −0.364432 1.24114i −0.914008 0.405697i \(-0.867029\pi\)
0.549576 0.835444i \(-0.314789\pi\)
\(710\) −1.77454 + 3.88569i −0.0665972 + 0.145828i
\(711\) −3.43058 + 0.493243i −0.128657 + 0.0184981i
\(712\) 31.5608 1.18279
\(713\) −25.2500 40.8663i −0.945619 1.53045i
\(714\) −7.18279 4.71288i −0.268809 0.176375i
\(715\) 0.0447845 + 0.311483i 0.00167485 + 0.0116488i
\(716\) 1.88496 4.12749i 0.0704443 0.154252i
\(717\) −0.301018 1.02517i −0.0112417 0.0382859i
\(718\) −18.1305 15.7102i −0.676624 0.586298i
\(719\) 9.67629 32.9544i 0.360865 1.22899i −0.556468 0.830869i \(-0.687844\pi\)
0.917332 0.398123i \(-0.130338\pi\)
\(720\) −1.11052 + 0.713690i −0.0413867 + 0.0265976i
\(721\) 42.8375 + 6.57408i 1.59535 + 0.244832i
\(722\) 18.1219 + 20.9138i 0.674429 + 0.778332i
\(723\) 11.1096 17.2868i 0.413169 0.642904i
\(724\) 0.180662 1.25654i 0.00671427 0.0466988i
\(725\) 4.96463 34.5298i 0.184382 1.28240i
\(726\) −8.44060 + 13.1338i −0.313260 + 0.487442i
\(727\) −1.00731 1.16250i −0.0373591 0.0431146i 0.736763 0.676152i \(-0.236354\pi\)
−0.774122 + 0.633037i \(0.781808\pi\)
\(728\) −1.14800 + 7.48049i −0.0425476 + 0.277245i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 0.577026 1.96517i 0.0213567 0.0727341i
\(731\) 12.2414 + 10.6072i 0.452763 + 0.392321i
\(732\) −1.13551 3.86720i −0.0419697 0.142936i
\(733\) −3.08346 + 6.75183i −0.113890 + 0.249384i −0.957990 0.286801i \(-0.907408\pi\)
0.844100 + 0.536186i \(0.180135\pi\)
\(734\) −3.37989 23.5076i −0.124754 0.867683i
\(735\) −1.82761 + 0.793129i −0.0674126 + 0.0292550i
\(736\) 7.12190 7.93031i 0.262517 0.292315i
\(737\) −0.566105 −0.0208528
\(738\) −9.08672 + 1.30647i −0.334487 + 0.0480920i
\(739\) −16.5589 + 36.2589i −0.609128 + 1.33381i 0.314040 + 0.949410i \(0.398317\pi\)
−0.923168 + 0.384396i \(0.874410\pi\)
\(740\) 0.0856852 + 0.291817i 0.00314985 + 0.0107274i
\(741\) 0.803346 0.927110i 0.0295116 0.0340582i
\(742\) −6.17990 7.27008i −0.226871 0.266893i
\(743\) 18.2470 + 28.3929i 0.669419 + 1.04164i 0.995358 + 0.0962449i \(0.0306832\pi\)
−0.325939 + 0.945391i \(0.605680\pi\)
\(744\) −10.3205 22.5988i −0.378369 0.828514i
\(745\) 2.97965 2.58189i 0.109166 0.0945929i
\(746\) −23.9685 + 37.2958i −0.877550 + 1.36549i
\(747\) −2.20769 + 15.3548i −0.0807752 + 0.561804i
\(748\) 0.792798 + 0.113987i 0.0289876 + 0.00416778i
\(749\) −2.20454 4.95091i −0.0805521 0.180902i
\(750\) 3.30421 2.86311i 0.120653 0.104546i
\(751\) −40.9280 + 18.6912i −1.49348 + 0.682051i −0.983957 0.178405i \(-0.942906\pi\)
−0.509526 + 0.860456i \(0.670179\pi\)
\(752\) −26.0365 40.5135i −0.949452 1.47738i
\(753\) 1.17882 4.01470i 0.0429587 0.146304i
\(754\) 9.57278 + 8.29486i 0.348620 + 0.302081i
\(755\) 2.62949 0.772087i 0.0956968 0.0280991i
\(756\) −0.892249 + 0.561537i −0.0324508 + 0.0204229i
\(757\) 19.9197 2.86401i 0.723992 0.104094i 0.229540 0.973299i \(-0.426278\pi\)
0.494452 + 0.869205i \(0.335369\pi\)
\(758\) 32.9479i 1.19672i
\(759\) −1.98392 + 4.14779i −0.0720117 + 0.150555i
\(760\) −0.750893 −0.0272378
\(761\) 16.0897 2.31334i 0.583250 0.0838586i 0.155627 0.987816i \(-0.450260\pi\)
0.427623 + 0.903957i \(0.359351\pi\)
\(762\) −9.94709 4.54268i −0.360345 0.164564i
\(763\) −29.3894 8.93292i −1.06397 0.323394i
\(764\) −2.18181 1.89055i −0.0789352 0.0683977i
\(765\) 0.572559 + 0.168118i 0.0207009 + 0.00607833i
\(766\) 17.5469 11.2767i 0.633994 0.407443i
\(767\) 1.54118 + 3.37470i 0.0556486 + 0.121853i
\(768\) 6.95956 6.03049i 0.251132 0.217607i
\(769\) −1.64083 1.05450i −0.0591698 0.0380261i 0.510721 0.859746i \(-0.329378\pi\)
−0.569891 + 0.821720i \(0.693015\pi\)
\(770\) 0.740141 0.837988i 0.0266728 0.0301990i
\(771\) 3.01035 20.9375i 0.108415 0.754044i
\(772\) 5.88769 + 3.78379i 0.211903 + 0.136182i