Properties

Label 483.2.r.a.34.1
Level $483$
Weight $2$
Character 483.34
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 34.1
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.18339 + 1.40318i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.96744 - 4.30810i) q^{4} +(-1.99005 + 0.584333i) q^{5} +(2.36086 - 1.07817i) q^{6} +(1.49161 - 2.18520i) q^{7} +(1.01061 + 7.02895i) q^{8} +(0.959493 + 0.281733i) q^{9} +O(q^{10})\) \(q+(-2.18339 + 1.40318i) q^{2} +(-0.989821 - 0.142315i) q^{3} +(1.96744 - 4.30810i) q^{4} +(-1.99005 + 0.584333i) q^{5} +(2.36086 - 1.07817i) q^{6} +(1.49161 - 2.18520i) q^{7} +(1.01061 + 7.02895i) q^{8} +(0.959493 + 0.281733i) q^{9} +(3.52514 - 4.06822i) q^{10} +(-0.546146 + 0.849820i) q^{11} +(-2.56052 + 3.98425i) q^{12} +(2.07798 + 1.80058i) q^{13} +(-0.190534 + 6.86413i) q^{14} +(2.05296 - 0.295171i) q^{15} +(-5.86647 - 6.77027i) q^{16} +(-1.29960 - 2.84573i) q^{17} +(-2.49027 + 0.731208i) q^{18} +(-2.30797 + 5.05375i) q^{19} +(-1.39795 + 9.72299i) q^{20} +(-1.78741 + 1.95068i) q^{21} -2.62183i q^{22} +(1.55518 - 4.53667i) q^{23} -7.10123i q^{24} +(-0.587398 + 0.377498i) q^{25} +(-7.06356 - 1.01559i) q^{26} +(-0.909632 - 0.415415i) q^{27} +(-6.47940 - 10.7253i) q^{28} +(-0.204348 - 0.447459i) q^{29} +(-4.06822 + 3.52514i) q^{30} +(-6.70072 + 0.963419i) q^{31} +(8.68150 + 2.54912i) q^{32} +(0.661529 - 0.763445i) q^{33} +(6.83060 + 4.38976i) q^{34} +(-1.69150 + 5.22026i) q^{35} +(3.10148 - 3.57930i) q^{36} +(0.106468 - 0.362596i) q^{37} +(-2.05212 - 14.2728i) q^{38} +(-1.80058 - 2.07798i) q^{39} +(-6.11842 - 13.3975i) q^{40} +(1.45543 + 4.95673i) q^{41} +(1.16546 - 6.76715i) q^{42} +(-8.56131 - 1.23093i) q^{43} +(2.58660 + 4.02482i) q^{44} -2.07407 q^{45} +(2.97019 + 12.0875i) q^{46} -12.1543i q^{47} +(4.84325 + 7.53624i) q^{48} +(-2.55021 - 6.51893i) q^{49} +(0.752820 - 1.64845i) q^{50} +(0.881384 + 3.00172i) q^{51} +(11.8454 - 5.40960i) q^{52} +(-0.165449 + 0.143362i) q^{53} +(2.56898 - 0.369364i) q^{54} +(0.590283 - 2.01032i) q^{55} +(16.8671 + 8.27606i) q^{56} +(3.00370 - 4.67385i) q^{57} +(1.07404 + 0.690241i) q^{58} +(-3.18828 - 2.76266i) q^{59} +(2.76745 - 9.42507i) q^{60} +(-1.30317 - 9.06375i) q^{61} +(13.2784 - 11.5058i) q^{62} +(2.04683 - 1.67645i) q^{63} +(-5.34100 + 1.56826i) q^{64} +(-5.18742 - 2.36902i) q^{65} +(-0.373125 + 2.59514i) q^{66} +(5.08137 + 7.90677i) q^{67} -14.8166 q^{68} +(-2.18499 + 4.26917i) q^{69} +(-3.63176 - 13.7713i) q^{70} +(-8.80148 + 5.65636i) q^{71} +(-1.01061 + 7.02895i) q^{72} +(-10.4960 - 4.79338i) q^{73} +(0.276326 + 0.941081i) q^{74} +(0.635142 - 0.290060i) q^{75} +(17.2312 + 19.8859i) q^{76} +(1.04239 + 2.46104i) q^{77} +(6.84713 + 2.01050i) q^{78} +(-5.51326 - 4.77727i) q^{79} +(15.6307 + 10.0452i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-10.1329 - 8.78023i) q^{82} +(-4.57899 - 1.34451i) q^{83} +(4.88709 + 11.5382i) q^{84} +(4.24913 + 4.90376i) q^{85} +(20.4199 - 9.32544i) q^{86} +(0.138588 + 0.471987i) q^{87} +(-6.52529 - 2.98000i) q^{88} +(-2.41840 + 16.8203i) q^{89} +(4.52849 - 2.91029i) q^{90} +(7.03415 - 1.85504i) q^{91} +(-16.4847 - 15.6255i) q^{92} +6.76963 q^{93} +(17.0546 + 26.5375i) q^{94} +(1.63991 - 11.4058i) q^{95} +(-8.23036 - 3.75868i) q^{96} +(-0.968153 + 0.284275i) q^{97} +(14.7153 + 10.6550i) q^{98} +(-0.763445 + 0.661529i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.18339 + 1.40318i −1.54389 + 0.992197i −0.557051 + 0.830478i \(0.688067\pi\)
−0.986837 + 0.161718i \(0.948296\pi\)
\(3\) −0.989821 0.142315i −0.571474 0.0821655i
\(4\) 1.96744 4.30810i 0.983721 2.15405i
\(5\) −1.99005 + 0.584333i −0.889979 + 0.261321i −0.694591 0.719405i \(-0.744415\pi\)
−0.195388 + 0.980726i \(0.562597\pi\)
\(6\) 2.36086 1.07817i 0.963816 0.440160i
\(7\) 1.49161 2.18520i 0.563775 0.825928i
\(8\) 1.01061 + 7.02895i 0.357305 + 2.48511i
\(9\) 0.959493 + 0.281733i 0.319831 + 0.0939109i
\(10\) 3.52514 4.06822i 1.11475 1.28649i
\(11\) −0.546146 + 0.849820i −0.164669 + 0.256230i −0.913776 0.406219i \(-0.866847\pi\)
0.749106 + 0.662450i \(0.230483\pi\)
\(12\) −2.56052 + 3.98425i −0.739159 + 1.15015i
\(13\) 2.07798 + 1.80058i 0.576327 + 0.499390i 0.893552 0.448960i \(-0.148205\pi\)
−0.317225 + 0.948350i \(0.602751\pi\)
\(14\) −0.190534 + 6.86413i −0.0509224 + 1.83452i
\(15\) 2.05296 0.295171i 0.530071 0.0762127i
\(16\) −5.86647 6.77027i −1.46662 1.69257i
\(17\) −1.29960 2.84573i −0.315200 0.690191i 0.684029 0.729455i \(-0.260226\pi\)
−0.999229 + 0.0392637i \(0.987499\pi\)
\(18\) −2.49027 + 0.731208i −0.586961 + 0.172347i
\(19\) −2.30797 + 5.05375i −0.529484 + 1.15941i 0.436238 + 0.899831i \(0.356311\pi\)
−0.965722 + 0.259578i \(0.916417\pi\)
\(20\) −1.39795 + 9.72299i −0.312592 + 2.17413i
\(21\) −1.78741 + 1.95068i −0.390045 + 0.425673i
\(22\) 2.62183i 0.558975i
\(23\) 1.55518 4.53667i 0.324278 0.945962i
\(24\) 7.10123i 1.44953i
\(25\) −0.587398 + 0.377498i −0.117480 + 0.0754995i
\(26\) −7.06356 1.01559i −1.38528 0.199173i
\(27\) −0.909632 0.415415i −0.175059 0.0799467i
\(28\) −6.47940 10.7253i −1.22449 2.02688i
\(29\) −0.204348 0.447459i −0.0379464 0.0830911i 0.889710 0.456527i \(-0.150907\pi\)
−0.927656 + 0.373436i \(0.878180\pi\)
\(30\) −4.06822 + 3.52514i −0.742753 + 0.643599i
\(31\) −6.70072 + 0.963419i −1.20349 + 0.173035i −0.714739 0.699391i \(-0.753455\pi\)
−0.488746 + 0.872426i \(0.662546\pi\)
\(32\) 8.68150 + 2.54912i 1.53469 + 0.450625i
\(33\) 0.661529 0.763445i 0.115157 0.132899i
\(34\) 6.83060 + 4.38976i 1.17144 + 0.752837i
\(35\) −1.69150 + 5.22026i −0.285915 + 0.882386i
\(36\) 3.10148 3.57930i 0.516913 0.596549i
\(37\) 0.106468 0.362596i 0.0175032 0.0596104i −0.950278 0.311402i \(-0.899202\pi\)
0.967782 + 0.251791i \(0.0810197\pi\)
\(38\) −2.05212 14.2728i −0.332897 2.31535i
\(39\) −1.80058 2.07798i −0.288323 0.332743i
\(40\) −6.11842 13.3975i −0.967407 2.11833i
\(41\) 1.45543 + 4.95673i 0.227299 + 0.774111i 0.991610 + 0.129263i \(0.0412611\pi\)
−0.764311 + 0.644848i \(0.776921\pi\)
\(42\) 1.16546 6.76715i 0.179835 1.04419i
\(43\) −8.56131 1.23093i −1.30559 0.187715i −0.545816 0.837905i \(-0.683780\pi\)
−0.759771 + 0.650190i \(0.774689\pi\)
\(44\) 2.58660 + 4.02482i 0.389944 + 0.606765i
\(45\) −2.07407 −0.309184
\(46\) 2.97019 + 12.0875i 0.437931 + 1.78221i
\(47\) 12.1543i 1.77289i −0.462837 0.886443i \(-0.653169\pi\)
0.462837 0.886443i \(-0.346831\pi\)
\(48\) 4.84325 + 7.53624i 0.699063 + 1.08776i
\(49\) −2.55021 6.51893i −0.364315 0.931276i
\(50\) 0.752820 1.64845i 0.106465 0.233126i
\(51\) 0.881384 + 3.00172i 0.123418 + 0.420324i
\(52\) 11.8454 5.40960i 1.64266 0.750176i
\(53\) −0.165449 + 0.143362i −0.0227261 + 0.0196923i −0.666150 0.745818i \(-0.732059\pi\)
0.643424 + 0.765510i \(0.277513\pi\)
\(54\) 2.56898 0.369364i 0.349594 0.0502640i
\(55\) 0.590283 2.01032i 0.0795937 0.271071i
\(56\) 16.8671 + 8.27606i 2.25396 + 1.10594i
\(57\) 3.00370 4.67385i 0.397850 0.619066i
\(58\) 1.07404 + 0.690241i 0.141028 + 0.0906331i
\(59\) −3.18828 2.76266i −0.415079 0.359668i 0.422145 0.906528i \(-0.361277\pi\)
−0.837224 + 0.546860i \(0.815823\pi\)
\(60\) 2.76745 9.42507i 0.357276 1.21677i
\(61\) −1.30317 9.06375i −0.166854 1.16049i −0.885337 0.464950i \(-0.846072\pi\)
0.718483 0.695545i \(-0.244837\pi\)
\(62\) 13.2784 11.5058i 1.68636 1.46124i
\(63\) 2.04683 1.67645i 0.257876 0.211213i
\(64\) −5.34100 + 1.56826i −0.667625 + 0.196032i
\(65\) −5.18742 2.36902i −0.643421 0.293840i
\(66\) −0.373125 + 2.59514i −0.0459285 + 0.319440i
\(67\) 5.08137 + 7.90677i 0.620789 + 0.965966i 0.999187 + 0.0403230i \(0.0128387\pi\)
−0.378398 + 0.925643i \(0.623525\pi\)
\(68\) −14.8166 −1.79677
\(69\) −2.18499 + 4.26917i −0.263042 + 0.513948i
\(70\) −3.63176 13.7713i −0.434079 1.64599i
\(71\) −8.80148 + 5.65636i −1.04454 + 0.671287i −0.946106 0.323856i \(-0.895021\pi\)
−0.0984367 + 0.995143i \(0.531384\pi\)
\(72\) −1.01061 + 7.02895i −0.119102 + 0.828370i
\(73\) −10.4960 4.79338i −1.22847 0.561022i −0.307830 0.951441i \(-0.599603\pi\)
−0.920637 + 0.390419i \(0.872330\pi\)
\(74\) 0.276326 + 0.941081i 0.0321223 + 0.109398i
\(75\) 0.635142 0.290060i 0.0733399 0.0334932i
\(76\) 17.2312 + 19.8859i 1.97656 + 2.28107i
\(77\) 1.04239 + 2.46104i 0.118791 + 0.280461i
\(78\) 6.84713 + 2.01050i 0.775285 + 0.227644i
\(79\) −5.51326 4.77727i −0.620291 0.537485i 0.287031 0.957921i \(-0.407332\pi\)
−0.907322 + 0.420436i \(0.861877\pi\)
\(80\) 15.6307 + 10.0452i 1.74756 + 1.12309i
\(81\) 0.841254 + 0.540641i 0.0934726 + 0.0600712i
\(82\) −10.1329 8.78023i −1.11899 0.969615i
\(83\) −4.57899 1.34451i −0.502610 0.147580i 0.0205926 0.999788i \(-0.493445\pi\)
−0.523203 + 0.852208i \(0.675263\pi\)
\(84\) 4.88709 + 11.5382i 0.533225 + 1.25892i
\(85\) 4.24913 + 4.90376i 0.460883 + 0.531887i
\(86\) 20.4199 9.32544i 2.20193 1.00559i
\(87\) 0.138588 + 0.471987i 0.0148582 + 0.0506023i
\(88\) −6.52529 2.98000i −0.695598 0.317669i
\(89\) −2.41840 + 16.8203i −0.256349 + 1.78295i 0.301964 + 0.953319i \(0.402358\pi\)
−0.558313 + 0.829630i \(0.688551\pi\)
\(90\) 4.52849 2.91029i 0.477345 0.306771i
\(91\) 7.03415 1.85504i 0.737380 0.194461i
\(92\) −16.4847 15.6255i −1.71865 1.62907i
\(93\) 6.76963 0.701978
\(94\) 17.0546 + 26.5375i 1.75905 + 2.73714i
\(95\) 1.63991 11.4058i 0.168252 1.17022i
\(96\) −8.23036 3.75868i −0.840008 0.383619i
\(97\) −0.968153 + 0.284275i −0.0983011 + 0.0288638i −0.330513 0.943801i \(-0.607222\pi\)
0.232212 + 0.972665i \(0.425404\pi\)
\(98\) 14.7153 + 10.6550i 1.48647 + 1.07631i
\(99\) −0.763445 + 0.661529i −0.0767291 + 0.0664862i
\(100\) 0.470625 + 3.27327i 0.0470625 + 0.327327i
\(101\) −4.17046 + 14.2033i −0.414977 + 1.41328i 0.441577 + 0.897223i \(0.354419\pi\)
−0.856554 + 0.516058i \(0.827399\pi\)
\(102\) −6.13634 5.31717i −0.607589 0.526479i
\(103\) −11.7082 7.52441i −1.15364 0.741402i −0.183282 0.983060i \(-0.558672\pi\)
−0.970361 + 0.241659i \(0.922309\pi\)
\(104\) −10.5562 + 16.4257i −1.03512 + 1.61067i
\(105\) 2.41720 4.92640i 0.235895 0.480768i
\(106\) 0.160076 0.545169i 0.0155480 0.0529515i
\(107\) −15.2327 + 2.19013i −1.47260 + 0.211728i −0.831413 0.555654i \(-0.812468\pi\)
−0.641189 + 0.767383i \(0.721559\pi\)
\(108\) −3.57930 + 3.10148i −0.344418 + 0.298440i
\(109\) −18.0655 + 8.25026i −1.73037 + 0.790232i −0.736913 + 0.675988i \(0.763717\pi\)
−0.993453 + 0.114244i \(0.963555\pi\)
\(110\) 1.53202 + 5.21758i 0.146072 + 0.497476i
\(111\) −0.156987 + 0.343753i −0.0149005 + 0.0326276i
\(112\) −23.5449 + 2.72083i −2.22478 + 0.257094i
\(113\) −4.05541 6.31035i −0.381501 0.593627i 0.596402 0.802686i \(-0.296596\pi\)
−0.977903 + 0.209058i \(0.932960\pi\)
\(114\) 14.4195i 1.35051i
\(115\) −0.443975 + 9.93697i −0.0414008 + 0.926627i
\(116\) −2.32974 −0.216311
\(117\) 1.48652 + 2.31308i 0.137429 + 0.213844i
\(118\) 10.8378 + 1.55823i 0.997697 + 0.143447i
\(119\) −8.15699 1.40483i −0.747750 0.128780i
\(120\) 4.14948 + 14.1318i 0.378794 + 1.29005i
\(121\) 4.14565 + 9.07770i 0.376877 + 0.825245i
\(122\) 15.5634 + 17.9611i 1.40904 + 1.62612i
\(123\) −0.735197 5.11340i −0.0662904 0.461060i
\(124\) −9.03278 + 30.7628i −0.811168 + 2.76258i
\(125\) 7.73950 8.93186i 0.692242 0.798890i
\(126\) −2.11667 + 6.53241i −0.188568 + 0.581953i
\(127\) 11.1692 + 7.17799i 0.991104 + 0.636944i 0.932437 0.361334i \(-0.117678\pi\)
0.0586676 + 0.998278i \(0.481315\pi\)
\(128\) −2.38945 + 2.75757i −0.211199 + 0.243737i
\(129\) 8.29899 + 2.43680i 0.730685 + 0.214548i
\(130\) 14.6503 2.10640i 1.28492 0.184743i
\(131\) 12.8762 11.1573i 1.12500 0.974814i 0.125146 0.992138i \(-0.460060\pi\)
0.999850 + 0.0173243i \(0.00551477\pi\)
\(132\) −1.98748 4.35197i −0.172988 0.378790i
\(133\) 7.60086 + 12.5816i 0.659079 + 1.09096i
\(134\) −22.1892 10.1335i −1.91686 0.875399i
\(135\) 2.05296 + 0.295171i 0.176690 + 0.0254042i
\(136\) 18.6891 12.0108i 1.60258 1.02991i
\(137\) 4.27656i 0.365372i −0.983171 0.182686i \(-0.941521\pi\)
0.983171 0.182686i \(-0.0584791\pi\)
\(138\) −1.21972 12.3872i −0.103830 1.05447i
\(139\) 1.66501i 0.141225i 0.997504 + 0.0706123i \(0.0224953\pi\)
−0.997504 + 0.0706123i \(0.977505\pi\)
\(140\) 19.1615 + 17.5577i 1.61944 + 1.48390i
\(141\) −1.72974 + 12.0306i −0.145670 + 1.01316i
\(142\) 11.2801 24.7001i 0.946609 2.07278i
\(143\) −2.66505 + 0.782528i −0.222862 + 0.0654383i
\(144\) −3.72143 8.14880i −0.310119 0.679067i
\(145\) 0.668128 + 0.771061i 0.0554850 + 0.0640332i
\(146\) 29.6429 4.26200i 2.45326 0.352726i
\(147\) 1.59651 + 6.81551i 0.131678 + 0.562134i
\(148\) −1.35263 1.17206i −0.111185 0.0963427i
\(149\) −1.32442 + 2.06084i −0.108501 + 0.168831i −0.891258 0.453497i \(-0.850176\pi\)
0.782757 + 0.622328i \(0.213813\pi\)
\(150\) −0.979756 + 1.52453i −0.0799968 + 0.124477i
\(151\) 0.444442 0.512914i 0.0361682 0.0417403i −0.737377 0.675481i \(-0.763936\pi\)
0.773545 + 0.633741i \(0.218481\pi\)
\(152\) −37.8550 11.1152i −3.07045 0.901565i
\(153\) −0.445224 3.09660i −0.0359942 0.250345i
\(154\) −5.72922 3.91074i −0.461673 0.315136i
\(155\) 12.7718 5.83271i 1.02586 0.468494i
\(156\) −12.4947 + 3.66876i −1.00037 + 0.293736i
\(157\) −3.78997 + 8.29888i −0.302473 + 0.662323i −0.998445 0.0557456i \(-0.982246\pi\)
0.695972 + 0.718069i \(0.254974\pi\)
\(158\) 18.7410 + 2.69454i 1.49095 + 0.214366i
\(159\) 0.184167 0.118357i 0.0146054 0.00938633i
\(160\) −18.7662 −1.48360
\(161\) −7.59382 10.1653i −0.598477 0.801140i
\(162\) −2.59540 −0.203914
\(163\) 8.09016 5.19923i 0.633670 0.407235i −0.183997 0.982927i \(-0.558904\pi\)
0.817667 + 0.575692i \(0.195267\pi\)
\(164\) 24.2175 + 3.48196i 1.89107 + 0.271895i
\(165\) −0.870373 + 1.90585i −0.0677584 + 0.148370i
\(166\) 11.8843 3.48955i 0.922401 0.270841i
\(167\) 6.72684 3.07204i 0.520538 0.237722i −0.137778 0.990463i \(-0.543996\pi\)
0.658316 + 0.752741i \(0.271269\pi\)
\(168\) −15.5176 10.5923i −1.19721 0.817211i
\(169\) −0.774183 5.38456i −0.0595525 0.414197i
\(170\) −16.1583 4.74452i −1.23929 0.363888i
\(171\) −3.63828 + 4.19880i −0.278227 + 0.321091i
\(172\) −22.1468 + 34.4612i −1.68868 + 2.62764i
\(173\) 3.24569 5.05039i 0.246765 0.383974i −0.695671 0.718361i \(-0.744893\pi\)
0.942436 + 0.334386i \(0.108529\pi\)
\(174\) −0.964872 0.836066i −0.0731468 0.0633820i
\(175\) −0.0512595 + 1.84666i −0.00387486 + 0.139594i
\(176\) 8.95746 1.28789i 0.675194 0.0970782i
\(177\) 2.76266 + 3.18828i 0.207654 + 0.239646i
\(178\) −18.3216 40.1187i −1.37326 3.00702i
\(179\) −0.984461 + 0.289064i −0.0735820 + 0.0216056i −0.318316 0.947985i \(-0.603117\pi\)
0.244734 + 0.969590i \(0.421299\pi\)
\(180\) −4.08061 + 8.93529i −0.304151 + 0.665997i
\(181\) 1.24975 8.69219i 0.0928930 0.646085i −0.889176 0.457565i \(-0.848722\pi\)
0.982069 0.188520i \(-0.0603691\pi\)
\(182\) −12.7553 + 13.9204i −0.945488 + 1.03185i
\(183\) 9.15696i 0.676902i
\(184\) 33.4598 + 6.34651i 2.46669 + 0.467871i
\(185\) 0.783798i 0.0576260i
\(186\) −14.7807 + 9.49899i −1.08377 + 0.696500i
\(187\) 3.12813 + 0.449757i 0.228752 + 0.0328895i
\(188\) −52.3619 23.9129i −3.81888 1.74403i
\(189\) −2.26458 + 1.36809i −0.164724 + 0.0995141i
\(190\) 12.4239 + 27.2045i 0.901322 + 1.97362i
\(191\) 5.49422 4.76077i 0.397548 0.344477i −0.433030 0.901379i \(-0.642556\pi\)
0.830578 + 0.556902i \(0.188010\pi\)
\(192\) 5.50982 0.792193i 0.397637 0.0571716i
\(193\) −10.2382 3.00619i −0.736958 0.216390i −0.108350 0.994113i \(-0.534557\pi\)
−0.628608 + 0.777722i \(0.716375\pi\)
\(194\) 1.71496 1.97917i 0.123127 0.142096i
\(195\) 4.79748 + 3.08315i 0.343554 + 0.220789i
\(196\) −33.1016 1.83908i −2.36440 0.131363i
\(197\) −3.58337 + 4.13543i −0.255305 + 0.294637i −0.868904 0.494980i \(-0.835175\pi\)
0.613600 + 0.789617i \(0.289721\pi\)
\(198\) 0.738654 2.51562i 0.0524938 0.178778i
\(199\) −1.40482 9.77074i −0.0995851 0.692629i −0.977053 0.212995i \(-0.931678\pi\)
0.877468 0.479635i \(-0.159231\pi\)
\(200\) −3.24704 3.74729i −0.229601 0.264973i
\(201\) −3.90440 8.54945i −0.275395 0.603031i
\(202\) −10.8240 36.8632i −0.761575 2.59369i
\(203\) −1.28260 0.220893i −0.0900206 0.0155037i
\(204\) 14.6658 + 2.10862i 1.02681 + 0.147633i
\(205\) −5.79275 9.01370i −0.404584 0.629544i
\(206\) 36.1216 2.51671
\(207\) 2.77032 3.91476i 0.192550 0.272095i
\(208\) 24.6315i 1.70789i
\(209\) −3.03429 4.72144i −0.209886 0.326589i
\(210\) 1.63493 + 14.1480i 0.112821 + 0.976305i
\(211\) 2.31217 5.06294i 0.159176 0.348547i −0.813194 0.581993i \(-0.802273\pi\)
0.972370 + 0.233446i \(0.0750002\pi\)
\(212\) 0.292107 + 0.994826i 0.0200620 + 0.0683249i
\(213\) 9.51687 4.34621i 0.652085 0.297797i
\(214\) 30.1858 26.1561i 2.06346 1.78800i
\(215\) 17.7567 2.55303i 1.21100 0.174115i
\(216\) 2.00065 6.81358i 0.136127 0.463606i
\(217\) −7.88959 + 16.0795i −0.535581 + 1.09155i
\(218\) 27.8675 43.3627i 1.88743 2.93689i
\(219\) 9.70703 + 6.23833i 0.655940 + 0.421547i
\(220\) −7.49930 6.49818i −0.505603 0.438107i
\(221\) 2.42342 8.25340i 0.163017 0.555183i
\(222\) −0.139584 0.970827i −0.00936826 0.0651577i
\(223\) 20.4316 17.7041i 1.36820 1.18556i 0.405790 0.913966i \(-0.366996\pi\)
0.962413 0.271589i \(-0.0875491\pi\)
\(224\) 18.5197 15.1685i 1.23740 1.01349i
\(225\) −0.669957 + 0.196717i −0.0446638 + 0.0131145i
\(226\) 17.7091 + 8.08746i 1.17799 + 0.537970i
\(227\) 1.74273 12.1210i 0.115669 0.804496i −0.846568 0.532281i \(-0.821335\pi\)
0.962237 0.272215i \(-0.0877560\pi\)
\(228\) −14.2258 22.1358i −0.942126 1.46598i
\(229\) 14.1871 0.937511 0.468755 0.883328i \(-0.344703\pi\)
0.468755 + 0.883328i \(0.344703\pi\)
\(230\) −12.9740 22.3192i −0.855478 1.47169i
\(231\) −0.681539 2.58434i −0.0448420 0.170037i
\(232\) 2.93866 1.88856i 0.192932 0.123990i
\(233\) −4.07104 + 28.3147i −0.266703 + 1.85496i 0.212377 + 0.977188i \(0.431879\pi\)
−0.479080 + 0.877771i \(0.659030\pi\)
\(234\) −6.49131 2.96448i −0.424350 0.193794i
\(235\) 7.10215 + 24.1877i 0.463293 + 1.57783i
\(236\) −18.1746 + 8.30005i −1.18306 + 0.540287i
\(237\) 4.77727 + 5.51326i 0.310317 + 0.358125i
\(238\) 19.7811 8.37843i 1.28222 0.543093i
\(239\) −27.3504 8.03080i −1.76915 0.519469i −0.775436 0.631426i \(-0.782470\pi\)
−0.993713 + 0.111957i \(0.964288\pi\)
\(240\) −14.0420 12.1675i −0.906407 0.785406i
\(241\) 20.8894 + 13.4248i 1.34560 + 0.864766i 0.997358 0.0726373i \(-0.0231416\pi\)
0.348244 + 0.937404i \(0.386778\pi\)
\(242\) −21.7892 14.0031i −1.40066 0.900150i
\(243\) −0.755750 0.654861i −0.0484814 0.0420093i
\(244\) −41.6114 12.2182i −2.66390 0.782191i
\(245\) 8.88427 + 11.4829i 0.567595 + 0.733613i
\(246\) 8.78023 + 10.1329i 0.559807 + 0.646052i
\(247\) −13.8956 + 6.34589i −0.884154 + 0.403780i
\(248\) −13.5436 46.1254i −0.860023 2.92897i
\(249\) 4.34104 + 1.98249i 0.275102 + 0.125635i
\(250\) −4.36534 + 30.3616i −0.276088 + 1.92024i
\(251\) 1.75130 1.12549i 0.110541 0.0710405i −0.484202 0.874956i \(-0.660890\pi\)
0.594743 + 0.803916i \(0.297254\pi\)
\(252\) −3.19529 12.1163i −0.201284 0.763253i
\(253\) 3.00600 + 3.79931i 0.188985 + 0.238861i
\(254\) −34.4586 −2.16213
\(255\) −3.50800 5.45856i −0.219680 0.341828i
\(256\) 2.93212 20.3933i 0.183257 1.27458i
\(257\) 7.63411 + 3.48638i 0.476203 + 0.217474i 0.639032 0.769180i \(-0.279335\pi\)
−0.162830 + 0.986654i \(0.552062\pi\)
\(258\) −21.5392 + 6.32447i −1.34097 + 0.393744i
\(259\) −0.633537 0.773505i −0.0393661 0.0480633i
\(260\) −20.4119 + 17.6870i −1.26589 + 1.09690i
\(261\) −0.0700065 0.486906i −0.00433329 0.0301387i
\(262\) −12.4580 + 42.4282i −0.769660 + 2.62122i
\(263\) 16.2655 + 14.0942i 1.00298 + 0.869084i 0.991402 0.130849i \(-0.0417703\pi\)
0.0115742 + 0.999933i \(0.496316\pi\)
\(264\) 6.03477 + 3.87831i 0.371414 + 0.238694i
\(265\) 0.245481 0.381975i 0.0150798 0.0234646i
\(266\) −34.2498 16.8051i −2.09999 1.03039i
\(267\) 4.78756 16.3049i 0.292994 0.997846i
\(268\) 44.0604 6.33494i 2.69142 0.386968i
\(269\) −16.3033 + 14.1269i −0.994031 + 0.861333i −0.990340 0.138660i \(-0.955720\pi\)
−0.00369140 + 0.999993i \(0.501175\pi\)
\(270\) −4.89658 + 2.23619i −0.297996 + 0.136090i
\(271\) 3.61685 + 12.3179i 0.219708 + 0.748257i 0.993401 + 0.114696i \(0.0365894\pi\)
−0.773692 + 0.633561i \(0.781592\pi\)
\(272\) −11.6423 + 25.4930i −0.705917 + 1.54574i
\(273\) −7.22656 + 0.835095i −0.437371 + 0.0505422i
\(274\) 6.00078 + 9.33740i 0.362520 + 0.564093i
\(275\) 0.705351i 0.0425343i
\(276\) 14.0932 + 17.8125i 0.848308 + 1.07219i
\(277\) 7.49972 0.450615 0.225307 0.974288i \(-0.427661\pi\)
0.225307 + 0.974288i \(0.427661\pi\)
\(278\) −2.33631 3.63537i −0.140123 0.218035i
\(279\) −6.70072 0.963419i −0.401162 0.0576784i
\(280\) −38.4024 6.61381i −2.29498 0.395250i
\(281\) −5.47619 18.6502i −0.326682 1.11258i −0.945115 0.326739i \(-0.894050\pi\)
0.618433 0.785838i \(-0.287768\pi\)
\(282\) −13.1044 28.6946i −0.780353 1.70874i
\(283\) −10.3526 11.9476i −0.615400 0.710210i 0.359427 0.933173i \(-0.382972\pi\)
−0.974827 + 0.222964i \(0.928427\pi\)
\(284\) 7.05178 + 49.0462i 0.418446 + 2.91036i
\(285\) −3.24644 + 11.0564i −0.192303 + 0.654923i
\(286\) 4.72080 5.44810i 0.279147 0.322153i
\(287\) 13.0024 + 4.21310i 0.767506 + 0.248691i
\(288\) 7.61167 + 4.89172i 0.448522 + 0.288248i
\(289\) 4.72342 5.45111i 0.277848 0.320654i
\(290\) −2.54072 0.746022i −0.149196 0.0438079i
\(291\) 0.998755 0.143599i 0.0585481 0.00841794i
\(292\) −41.3007 + 35.7872i −2.41694 + 2.09429i
\(293\) 12.6884 + 27.7838i 0.741265 + 1.62314i 0.781462 + 0.623952i \(0.214474\pi\)
−0.0401972 + 0.999192i \(0.512799\pi\)
\(294\) −13.0492 12.6407i −0.761043 0.737221i
\(295\) 7.95917 + 3.63483i 0.463401 + 0.211628i
\(296\) 2.65627 + 0.381914i 0.154392 + 0.0221983i
\(297\) 0.849820 0.546146i 0.0493116 0.0316906i
\(298\) 6.35803i 0.368311i
\(299\) 11.4003 6.62687i 0.659295 0.383242i
\(300\) 3.30693i 0.190926i
\(301\) −15.4599 + 16.8721i −0.891097 + 0.972492i
\(302\) −0.250680 + 1.74352i −0.0144250 + 0.100328i
\(303\) 6.14936 13.4652i 0.353271 0.773556i
\(304\) 47.7549 14.0221i 2.73893 0.804222i
\(305\) 7.88963 + 17.2759i 0.451759 + 0.989214i
\(306\) 5.31717 + 6.13634i 0.303963 + 0.350791i
\(307\) 30.6844 4.41175i 1.75125 0.251792i 0.809264 0.587445i \(-0.199866\pi\)
0.941985 + 0.335654i \(0.108957\pi\)
\(308\) 12.6532 + 0.351228i 0.720985 + 0.0200131i
\(309\) 10.5182 + 9.11407i 0.598359 + 0.518481i
\(310\) −19.7016 + 30.6562i −1.11897 + 1.74116i
\(311\) 0.645723 1.00476i 0.0366156 0.0569750i −0.822463 0.568818i \(-0.807401\pi\)
0.859079 + 0.511843i \(0.171037\pi\)
\(312\) 12.7863 14.7562i 0.723883 0.835406i
\(313\) −13.4674 3.95440i −0.761224 0.223516i −0.121994 0.992531i \(-0.538929\pi\)
−0.639231 + 0.769015i \(0.720747\pi\)
\(314\) −3.36983 23.4377i −0.190171 1.32267i
\(315\) −3.09370 + 4.53226i −0.174310 + 0.255364i
\(316\) −31.4280 + 14.3527i −1.76796 + 0.807401i
\(317\) −12.9750 + 3.80980i −0.728748 + 0.213980i −0.625001 0.780624i \(-0.714901\pi\)
−0.103747 + 0.994604i \(0.533083\pi\)
\(318\) −0.236032 + 0.516839i −0.0132360 + 0.0289829i
\(319\) 0.491864 + 0.0707193i 0.0275391 + 0.00395952i
\(320\) 9.71249 6.24184i 0.542945 0.348930i
\(321\) 15.3894 0.858951
\(322\) 30.8440 + 11.5394i 1.71887 + 0.643065i
\(323\) 17.3810 0.967107
\(324\) 3.98425 2.56052i 0.221347 0.142251i
\(325\) −1.90031 0.273224i −0.105410 0.0151557i
\(326\) −10.3685 + 22.7039i −0.574259 + 1.25745i
\(327\) 19.0558 5.59529i 1.05379 0.309420i
\(328\) −33.3697 + 15.2395i −1.84254 + 0.841458i
\(329\) −26.5596 18.1295i −1.46428 0.999509i
\(330\) −0.773886 5.38250i −0.0426010 0.296297i
\(331\) −11.8353 3.47516i −0.650527 0.191012i −0.0602126 0.998186i \(-0.519178\pi\)
−0.590314 + 0.807174i \(0.700996\pi\)
\(332\) −14.8012 + 17.0815i −0.812322 + 0.937469i
\(333\) 0.204310 0.317913i 0.0111961 0.0174215i
\(334\) −10.3767 + 16.1464i −0.567786 + 0.883492i
\(335\) −14.7324 12.7657i −0.804917 0.697464i
\(336\) 23.6924 + 0.657654i 1.29253 + 0.0358779i
\(337\) −32.2360 + 4.63483i −1.75600 + 0.252475i −0.943710 0.330773i \(-0.892691\pi\)
−0.812294 + 0.583248i \(0.801781\pi\)
\(338\) 9.24583 + 10.6703i 0.502907 + 0.580386i
\(339\) 3.11608 + 6.82326i 0.169242 + 0.370589i
\(340\) 29.4858 8.65780i 1.59909 0.469535i
\(341\) 2.84084 6.22058i 0.153840 0.336863i
\(342\) 2.05212 14.2728i 0.110966 0.771783i
\(343\) −18.0491 4.15098i −0.974559 0.224132i
\(344\) 61.4210i 3.31160i
\(345\) 1.85363 9.77264i 0.0997963 0.526141i
\(346\) 15.5812i 0.837653i
\(347\) 20.0947 12.9141i 1.07874 0.693265i 0.124475 0.992223i \(-0.460275\pi\)
0.954266 + 0.298957i \(0.0966389\pi\)
\(348\) 2.30603 + 0.331557i 0.123616 + 0.0177733i
\(349\) 12.3410 + 5.63593i 0.660597 + 0.301685i 0.717360 0.696703i \(-0.245350\pi\)
−0.0567624 + 0.998388i \(0.518078\pi\)
\(350\) −2.47927 4.10390i −0.132523 0.219363i
\(351\) −1.14221 2.50109i −0.0609665 0.133498i
\(352\) −6.90766 + 5.98552i −0.368180 + 0.319029i
\(353\) −25.5982 + 3.68047i −1.36246 + 0.195892i −0.784476 0.620159i \(-0.787068\pi\)
−0.577980 + 0.816051i \(0.696159\pi\)
\(354\) −10.5057 3.08475i −0.558371 0.163953i
\(355\) 14.2102 16.3995i 0.754200 0.870393i
\(356\) 67.7055 + 43.5117i 3.58838 + 2.30611i
\(357\) 7.87403 + 2.55139i 0.416738 + 0.135034i
\(358\) 1.74385 2.01251i 0.0921654 0.106365i
\(359\) 1.51344 5.15429i 0.0798761 0.272033i −0.909865 0.414904i \(-0.863815\pi\)
0.989741 + 0.142871i \(0.0456334\pi\)
\(360\) −2.09608 14.5785i −0.110473 0.768356i
\(361\) −7.77128 8.96853i −0.409015 0.472028i
\(362\) 9.46800 + 20.7320i 0.497627 + 1.08965i
\(363\) −2.81156 9.57529i −0.147569 0.502572i
\(364\) 5.84759 33.9535i 0.306497 1.77965i
\(365\) 23.6886 + 3.40591i 1.23992 + 0.178273i
\(366\) −12.8488 19.9932i −0.671620 1.04506i
\(367\) 11.6178 0.606446 0.303223 0.952920i \(-0.401937\pi\)
0.303223 + 0.952920i \(0.401937\pi\)
\(368\) −39.8379 + 16.0852i −2.07670 + 0.838502i
\(369\) 5.16599i 0.268931i
\(370\) −1.09981 1.71133i −0.0571763 0.0889681i
\(371\) 0.0664903 + 0.575379i 0.00345200 + 0.0298722i
\(372\) 13.3188 29.1642i 0.690550 1.51209i
\(373\) −2.67715 9.11753i −0.138618 0.472088i 0.860697 0.509118i \(-0.170028\pi\)
−0.999314 + 0.0370302i \(0.988210\pi\)
\(374\) −7.46101 + 3.40733i −0.385800 + 0.176189i
\(375\) −8.93186 + 7.73950i −0.461239 + 0.399666i
\(376\) 85.4320 12.2833i 4.40582 0.633461i
\(377\) 0.381055 1.29775i 0.0196253 0.0668378i
\(378\) 3.02478 6.16468i 0.155578 0.317077i
\(379\) −14.4188 + 22.4361i −0.740646 + 1.15247i 0.242590 + 0.970129i \(0.422003\pi\)
−0.983236 + 0.182338i \(0.941633\pi\)
\(380\) −45.9111 29.5053i −2.35519 1.51359i
\(381\) −10.0340 8.69447i −0.514055 0.445431i
\(382\) −5.31580 + 18.1040i −0.271980 + 0.926279i
\(383\) −1.85296 12.8877i −0.0946821 0.658528i −0.980792 0.195054i \(-0.937512\pi\)
0.886110 0.463474i \(-0.153397\pi\)
\(384\) 2.75757 2.38945i 0.140722 0.121936i
\(385\) −3.51248 4.28850i −0.179012 0.218562i
\(386\) 26.5721 7.80226i 1.35248 0.397125i
\(387\) −7.86772 3.59307i −0.399939 0.182646i
\(388\) −0.680099 + 4.73019i −0.0345268 + 0.240139i
\(389\) 6.99119 + 10.8785i 0.354467 + 0.551562i 0.971999 0.234984i \(-0.0755037\pi\)
−0.617532 + 0.786546i \(0.711867\pi\)
\(390\) −14.8010 −0.749476
\(391\) −14.9313 + 1.47023i −0.755107 + 0.0743528i
\(392\) 43.2440 24.5134i 2.18415 1.23811i
\(393\) −14.3329 + 9.21122i −0.723001 + 0.464645i
\(394\) 2.02114 14.0573i 0.101824 0.708199i
\(395\) 13.7632 + 6.28545i 0.692502 + 0.316255i
\(396\) 1.34790 + 4.59052i 0.0677344 + 0.230682i
\(397\) 18.5180 8.45688i 0.929391 0.424439i 0.107579 0.994197i \(-0.465690\pi\)
0.821813 + 0.569758i \(0.192963\pi\)
\(398\) 16.7774 + 19.3621i 0.840973 + 0.970534i
\(399\) −5.73295 13.5352i −0.287007 0.677610i
\(400\) 6.00171 + 1.76226i 0.300086 + 0.0881131i
\(401\) 0.173162 + 0.150046i 0.00864729 + 0.00749292i 0.659174 0.751991i \(-0.270906\pi\)
−0.650526 + 0.759484i \(0.725452\pi\)
\(402\) 20.5212 + 13.1882i 1.02351 + 0.657767i
\(403\) −15.6587 10.0632i −0.780013 0.501284i
\(404\) 52.9840 + 45.9109i 2.63605 + 2.28415i
\(405\) −1.99005 0.584333i −0.0988866 0.0290357i
\(406\) 3.11036 1.31741i 0.154364 0.0653822i
\(407\) 0.249994 + 0.288509i 0.0123918 + 0.0143009i
\(408\) −20.2082 + 9.22877i −1.00045 + 0.456892i
\(409\) −5.22976 17.8109i −0.258595 0.880694i −0.981777 0.190037i \(-0.939139\pi\)
0.723182 0.690658i \(-0.242679\pi\)
\(410\) 25.2957 + 11.5521i 1.24926 + 0.570519i
\(411\) −0.608619 + 4.23303i −0.0300209 + 0.208800i
\(412\) −55.4511 + 35.6362i −2.73188 + 1.75567i
\(413\) −10.7926 + 2.84623i −0.531071 + 0.140054i
\(414\) −0.555570 + 12.4347i −0.0273048 + 0.611131i
\(415\) 9.89809 0.485878
\(416\) 13.4501 + 20.9287i 0.659444 + 1.02612i
\(417\) 0.236956 1.64807i 0.0116038 0.0807062i
\(418\) 13.2500 + 6.05109i 0.648081 + 0.295969i
\(419\) −9.30302 + 2.73161i −0.454482 + 0.133448i −0.500958 0.865471i \(-0.667019\pi\)
0.0464761 + 0.998919i \(0.485201\pi\)
\(420\) −16.4677 20.1060i −0.803542 0.981070i
\(421\) 3.80770 3.29939i 0.185576 0.160802i −0.557118 0.830433i \(-0.688093\pi\)
0.742694 + 0.669631i \(0.233548\pi\)
\(422\) 2.05585 + 14.2987i 0.100077 + 0.696052i
\(423\) 3.42426 11.6620i 0.166493 0.567024i
\(424\) −1.17489 1.01805i −0.0570577 0.0494408i
\(425\) 1.83764 + 1.18098i 0.0891386 + 0.0572859i
\(426\) −14.6805 + 22.8433i −0.711273 + 1.10676i
\(427\) −21.7499 10.6719i −1.05255 0.516449i
\(428\) −20.5342 + 69.9330i −0.992557 + 3.38034i
\(429\) 2.74929 0.395288i 0.132737 0.0190847i
\(430\) −35.1875 + 30.4901i −1.69689 + 1.47036i
\(431\) 26.9270 12.2971i 1.29703 0.592333i 0.357215 0.934022i \(-0.383726\pi\)
0.939813 + 0.341689i \(0.110999\pi\)
\(432\) 2.52386 + 8.59547i 0.121429 + 0.413550i
\(433\) −12.7693 + 27.9609i −0.613655 + 1.34372i 0.306391 + 0.951906i \(0.400878\pi\)
−0.920046 + 0.391811i \(0.871849\pi\)
\(434\) −5.33631 46.1782i −0.256151 2.21663i
\(435\) −0.551594 0.858298i −0.0264469 0.0411522i
\(436\) 94.0600i 4.50466i
\(437\) 19.3379 + 18.3300i 0.925056 + 0.876843i
\(438\) −29.9477 −1.43096
\(439\) −20.0437 31.1886i −0.956635 1.48855i −0.870440 0.492274i \(-0.836166\pi\)
−0.0861944 0.996278i \(-0.527471\pi\)
\(440\) 14.7270 + 2.11742i 0.702081 + 0.100944i
\(441\) −0.610310 6.97334i −0.0290624 0.332064i
\(442\) 6.28973 + 21.4208i 0.299172 + 1.01889i
\(443\) −7.05817 15.4552i −0.335344 0.734301i 0.664573 0.747224i \(-0.268614\pi\)
−0.999916 + 0.0129231i \(0.995886\pi\)
\(444\) 1.17206 + 1.35263i 0.0556235 + 0.0641930i
\(445\) −5.01592 34.8865i −0.237777 1.65378i
\(446\) −19.7682 + 67.3242i −0.936049 + 3.18789i
\(447\) 1.60423 1.85138i 0.0758776 0.0875674i
\(448\) −4.53972 + 14.0104i −0.214482 + 0.661929i
\(449\) 5.61401 + 3.60791i 0.264942 + 0.170268i 0.666367 0.745624i \(-0.267849\pi\)
−0.401425 + 0.915892i \(0.631485\pi\)
\(450\) 1.18675 1.36958i 0.0559438 0.0645626i
\(451\) −5.00720 1.47025i −0.235780 0.0692312i
\(452\) −35.1644 + 5.05587i −1.65399 + 0.237808i
\(453\) −0.512914 + 0.444442i −0.0240988 + 0.0208817i
\(454\) 13.2028 + 28.9101i 0.619638 + 1.35682i
\(455\) −12.9144 + 7.80192i −0.605436 + 0.365759i
\(456\) 35.8878 + 16.3894i 1.68060 + 0.767505i
\(457\) 14.6726 + 2.10960i 0.686355 + 0.0986829i 0.476665 0.879085i \(-0.341846\pi\)
0.209690 + 0.977768i \(0.432755\pi\)
\(458\) −30.9760 + 19.9070i −1.44741 + 0.930195i
\(459\) 3.12844i 0.146023i
\(460\) 41.9359 + 21.4631i 1.95527 + 1.00072i
\(461\) 19.3620i 0.901780i 0.892580 + 0.450890i \(0.148893\pi\)
−0.892580 + 0.450890i \(0.851107\pi\)
\(462\) 5.11435 + 4.68629i 0.237941 + 0.218026i
\(463\) 1.84806 12.8535i 0.0858865 0.597354i −0.900740 0.434358i \(-0.856975\pi\)
0.986627 0.162996i \(-0.0521157\pi\)
\(464\) −1.83062 + 4.00850i −0.0849844 + 0.186090i
\(465\) −13.4719 + 3.95571i −0.624746 + 0.183442i
\(466\) −30.8419 67.5344i −1.42872 3.12847i
\(467\) −18.3242 21.1472i −0.847942 0.978577i 0.152010 0.988379i \(-0.451425\pi\)
−0.999952 + 0.00980155i \(0.996880\pi\)
\(468\) 12.8896 1.85325i 0.595822 0.0856663i
\(469\) 24.8573 + 0.689988i 1.14780 + 0.0318607i
\(470\) −49.4464 42.8455i −2.28079 1.97632i
\(471\) 4.93245 7.67504i 0.227275 0.353647i
\(472\) 16.1965 25.2023i 0.745505 1.16003i
\(473\) 5.72179 6.60330i 0.263088 0.303620i
\(474\) −18.1667 5.33423i −0.834425 0.245009i
\(475\) −0.552082 3.83981i −0.0253312 0.176183i
\(476\) −22.1005 + 32.3772i −1.01298 + 1.48401i
\(477\) −0.199137 + 0.0909426i −0.00911784 + 0.00416398i
\(478\) 70.9851 20.8431i 3.24678 0.953342i
\(479\) −3.88339 + 8.50345i −0.177437 + 0.388532i −0.977364 0.211565i \(-0.932144\pi\)
0.799927 + 0.600097i \(0.204871\pi\)
\(480\) 18.5752 + 2.67071i 0.847837 + 0.121901i
\(481\) 0.874120 0.561763i 0.0398564 0.0256142i
\(482\) −64.4470 −2.93548
\(483\) 6.06984 + 11.1426i 0.276187 + 0.507005i
\(484\) 47.2639 2.14836
\(485\) 1.76057 1.13145i 0.0799432 0.0513764i
\(486\) 2.56898 + 0.369364i 0.116531 + 0.0167547i
\(487\) −17.9230 + 39.2460i −0.812170 + 1.77840i −0.214384 + 0.976749i \(0.568774\pi\)
−0.597786 + 0.801655i \(0.703953\pi\)
\(488\) 62.3917 18.3199i 2.82434 0.829301i
\(489\) −8.74774 + 3.99496i −0.395587 + 0.180658i
\(490\) −35.5103 12.6053i −1.60419 0.569450i
\(491\) 4.22050 + 29.3542i 0.190468 + 1.32474i 0.830771 + 0.556614i \(0.187900\pi\)
−0.640303 + 0.768123i \(0.721191\pi\)
\(492\) −23.4755 6.89303i −1.05836 0.310762i
\(493\) −1.00778 + 1.16304i −0.0453880 + 0.0523806i
\(494\) 21.4350 33.3535i 0.964406 1.50064i
\(495\) 1.13274 1.76258i 0.0509131 0.0792223i
\(496\) 45.8322 + 39.7138i 2.05793 + 1.78320i
\(497\) −0.768065 + 27.6701i −0.0344524 + 1.24117i
\(498\) −12.2600 + 1.76272i −0.549382 + 0.0789892i
\(499\) −5.33474 6.15662i −0.238816 0.275608i 0.623672 0.781686i \(-0.285640\pi\)
−0.862488 + 0.506078i \(0.831095\pi\)
\(500\) −23.2523 50.9154i −1.03987 2.27701i
\(501\) −7.09556 + 2.08345i −0.317006 + 0.0930815i
\(502\) −2.24450 + 4.91478i −0.100177 + 0.219357i
\(503\) −1.29185 + 8.98504i −0.0576009 + 0.400623i 0.940540 + 0.339682i \(0.110319\pi\)
−0.998141 + 0.0609413i \(0.980590\pi\)
\(504\) 13.8522 + 12.6928i 0.617028 + 0.565384i
\(505\) 30.7023i 1.36623i
\(506\) −11.8944 4.07742i −0.528769 0.181264i
\(507\) 5.43993i 0.241596i
\(508\) 52.8982 33.9956i 2.34698 1.50831i
\(509\) 16.1695 + 2.32482i 0.716701 + 0.103046i 0.491011 0.871153i \(-0.336627\pi\)
0.225690 + 0.974199i \(0.427536\pi\)
\(510\) 15.3187 + 6.99579i 0.678321 + 0.309779i
\(511\) −26.1305 + 15.7861i −1.15594 + 0.698336i
\(512\) 19.1820 + 42.0027i 0.847732 + 1.85627i
\(513\) 4.19880 3.63828i 0.185382 0.160634i
\(514\) −21.5602 + 3.09989i −0.950981 + 0.136730i
\(515\) 27.6967 + 8.13249i 1.22046 + 0.358360i
\(516\) 26.8258 30.9586i 1.18094 1.36287i
\(517\) 10.3290 + 6.63802i 0.454267 + 0.291940i
\(518\) 2.46862 + 0.799896i 0.108465 + 0.0351454i
\(519\) −3.93140 + 4.53708i −0.172569 + 0.199156i
\(520\) 11.4092 38.8563i 0.500328 1.70396i
\(521\) −0.822922 5.72355i −0.0360529 0.250753i 0.963822 0.266545i \(-0.0858822\pi\)
−0.999875 + 0.0157919i \(0.994973\pi\)
\(522\) 0.836066 + 0.964872i 0.0365936 + 0.0422313i
\(523\) 0.508065 + 1.11251i 0.0222161 + 0.0486465i 0.920415 0.390943i \(-0.127851\pi\)
−0.898199 + 0.439590i \(0.855124\pi\)
\(524\) −22.7334 77.4230i −0.993115 3.38224i
\(525\) 0.313545 1.82057i 0.0136842 0.0794562i
\(526\) −55.2906 7.94959i −2.41079 0.346619i
\(527\) 11.4499 + 17.8164i 0.498765 + 0.776094i
\(528\) −9.04957 −0.393832
\(529\) −18.1628 14.1107i −0.789687 0.613510i
\(530\) 1.17845i 0.0511887i
\(531\) −2.28080 3.54900i −0.0989784 0.154013i
\(532\) 69.1570 7.99172i 2.99833 0.346485i
\(533\) −5.90063 + 12.9206i −0.255585 + 0.559652i
\(534\) 12.4256 + 42.3178i 0.537709 + 1.83127i
\(535\) 29.0342 13.2595i 1.25526 0.573257i
\(536\) −50.4410 + 43.7074i −2.17872 + 1.88787i
\(537\) 1.01558 0.146018i 0.0438254 0.00630115i
\(538\) 15.7739 53.7210i 0.680061 2.31608i
\(539\) 6.93270 + 1.39307i 0.298613 + 0.0600039i
\(540\) 5.31070 8.26361i 0.228536 0.355609i
\(541\) 26.8117 + 17.2308i 1.15272 + 0.740810i 0.970180 0.242388i \(-0.0779305\pi\)
0.182544 + 0.983198i \(0.441567\pi\)
\(542\) −25.1812 21.8196i −1.08162 0.937232i
\(543\) −2.47405 + 8.42585i −0.106172 + 0.361588i
\(544\) −4.02839 28.0180i −0.172716 1.20126i
\(545\) 31.1305 26.9748i 1.33349 1.15547i
\(546\) 14.6066 11.9635i 0.625104 0.511990i
\(547\) 23.4102 6.87386i 1.00095 0.293905i 0.260104 0.965581i \(-0.416243\pi\)
0.740845 + 0.671676i \(0.234425\pi\)
\(548\) −18.4239 8.41389i −0.787028 0.359424i
\(549\) 1.30317 9.06375i 0.0556180 0.386832i
\(550\) 0.989733 + 1.54005i 0.0422024 + 0.0656681i
\(551\) 2.73298 0.116429
\(552\) −32.2160 11.0437i −1.37120 0.470052i
\(553\) −18.6629 + 4.92177i −0.793629 + 0.209295i
\(554\) −16.3748 + 10.5234i −0.695699 + 0.447098i
\(555\) 0.111546 0.775820i 0.00473487 0.0329317i
\(556\) 7.17304 + 3.27582i 0.304205 + 0.138926i
\(557\) −3.63224 12.3703i −0.153903 0.524145i 0.846057 0.533092i \(-0.178970\pi\)
−0.999960 + 0.00894714i \(0.997152\pi\)
\(558\) 15.9821 7.29879i 0.676577 0.308982i
\(559\) −15.5738 17.9731i −0.658702 0.760183i
\(560\) 45.2657 19.1726i 1.91283 0.810192i
\(561\) −3.03228 0.890359i −0.128023 0.0375910i
\(562\) 38.1262 + 33.0365i 1.60826 + 1.39356i
\(563\) −33.1104 21.2787i −1.39544 0.896792i −0.395669 0.918393i \(-0.629487\pi\)
−0.999767 + 0.0216015i \(0.993124\pi\)
\(564\) 48.4258 + 31.1213i 2.03909 + 1.31045i
\(565\) 11.7578 + 10.1882i 0.494656 + 0.428622i
\(566\) 39.3684 + 11.5596i 1.65478 + 0.485886i
\(567\) 2.43623 1.03188i 0.102312 0.0433350i
\(568\) −48.6532 56.1488i −2.04144 2.35595i
\(569\) 23.1176 10.5575i 0.969141 0.442592i 0.133006 0.991115i \(-0.457537\pi\)
0.836135 + 0.548523i \(0.184810\pi\)
\(570\) −8.42581 28.6957i −0.352918 1.20193i
\(571\) −29.0788 13.2799i −1.21691 0.555745i −0.299657 0.954047i \(-0.596872\pi\)
−0.917254 + 0.398302i \(0.869600\pi\)
\(572\) −1.87212 + 13.0209i −0.0782771 + 0.544429i
\(573\) −6.11582 + 3.93040i −0.255492 + 0.164195i
\(574\) −34.3009 + 9.04581i −1.43169 + 0.377565i
\(575\) 0.799072 + 3.25191i 0.0333236 + 0.135614i
\(576\) −5.56648 −0.231937
\(577\) −2.55491 3.97552i −0.106362 0.165503i 0.783992 0.620770i \(-0.213180\pi\)
−0.890355 + 0.455267i \(0.849544\pi\)
\(578\) −2.66417 + 18.5297i −0.110815 + 0.770733i
\(579\) 9.70612 + 4.43263i 0.403372 + 0.184214i
\(580\) 4.63631 1.36134i 0.192512 0.0565267i
\(581\) −9.76810 + 8.00053i −0.405249 + 0.331918i
\(582\) −1.97917 + 1.71496i −0.0820394 + 0.0710876i
\(583\) −0.0314728 0.218898i −0.00130347 0.00906584i
\(584\) 23.0850 78.6204i 0.955265 3.25333i
\(585\) −4.30987 3.73452i −0.178191 0.154403i
\(586\) −66.6893 42.8586i −2.75491 1.77047i
\(587\) 8.23270 12.8103i 0.339800 0.528739i −0.628734 0.777620i \(-0.716427\pi\)
0.968534 + 0.248881i \(0.0800629\pi\)
\(588\) 32.5029 + 6.53120i 1.34040 + 0.269342i
\(589\) 10.5962 36.0873i 0.436608 1.48695i
\(590\) −22.4783 + 3.23189i −0.925415 + 0.133055i
\(591\) 4.13543 3.58337i 0.170109 0.147400i
\(592\) −3.07946 + 1.40634i −0.126565 + 0.0578004i
\(593\) 1.49731 + 5.09936i 0.0614871 + 0.209406i 0.984507 0.175347i \(-0.0561048\pi\)
−0.923020 + 0.384753i \(0.874287\pi\)
\(594\) −1.08915 + 2.38490i −0.0446882 + 0.0978535i
\(595\) 17.0537 1.97071i 0.699135 0.0807914i
\(596\) 6.27259 + 9.76034i 0.256935 + 0.399799i
\(597\) 9.87121i 0.404002i
\(598\) −15.5925 + 30.4656i −0.637626 + 1.24583i
\(599\) −26.2794 −1.07375 −0.536874 0.843663i \(-0.680395\pi\)
−0.536874 + 0.843663i \(0.680395\pi\)
\(600\) 2.68070 + 4.17125i 0.109439 + 0.170291i
\(601\) 12.9958 + 1.86852i 0.530111 + 0.0762184i 0.402173 0.915564i \(-0.368255\pi\)
0.127938 + 0.991782i \(0.459164\pi\)
\(602\) 10.0805 58.5314i 0.410850 2.38556i
\(603\) 2.64795 + 9.01808i 0.107833 + 0.367245i
\(604\) −1.33527 2.92383i −0.0543313 0.118969i
\(605\) −13.5545 15.6427i −0.551067 0.635965i
\(606\) 5.46766 + 38.0284i 0.222108 + 1.54480i
\(607\) −3.06319 + 10.4323i −0.124331 + 0.423433i −0.998009 0.0630720i \(-0.979910\pi\)
0.873678 + 0.486505i \(0.161728\pi\)
\(608\) −32.9192 + 37.9908i −1.33505 + 1.54073i
\(609\) 1.23810 + 0.401177i 0.0501705 + 0.0162565i
\(610\) −41.4672 26.6494i −1.67896 1.07900i
\(611\) 21.8848 25.2564i 0.885363 1.02176i
\(612\) −14.2164 4.17431i −0.574664 0.168736i
\(613\) 4.19384 0.602984i 0.169388 0.0243543i −0.0570990 0.998369i \(-0.518185\pi\)
0.226487 + 0.974014i \(0.427276\pi\)
\(614\) −60.8054 + 52.6882i −2.45391 + 2.12632i
\(615\) 4.45101 + 9.74635i 0.179482 + 0.393011i
\(616\) −16.2451 + 9.81407i −0.654533 + 0.395420i
\(617\) −11.9294 5.44798i −0.480260 0.219327i 0.160549 0.987028i \(-0.448674\pi\)
−0.640809 + 0.767700i \(0.721401\pi\)
\(618\) −35.7540 5.14064i −1.43824 0.206787i
\(619\) −26.1921 + 16.8326i −1.05275 + 0.676560i −0.948107 0.317950i \(-0.897006\pi\)
−0.104641 + 0.994510i \(0.533369\pi\)
\(620\) 66.4978i 2.67062i
\(621\) −3.29925 + 3.48066i −0.132394 + 0.139674i
\(622\) 3.09985i 0.124293i
\(623\) 33.1485 + 30.3740i 1.32806 + 1.21691i
\(624\) −3.50543 + 24.3808i −0.140329 + 0.976013i
\(625\) −8.73254 + 19.1216i −0.349302 + 0.764864i
\(626\) 34.9533 10.2632i 1.39702 0.410201i
\(627\) 2.33147 + 5.10521i 0.0931100 + 0.203882i
\(628\) 28.2958 + 32.6551i 1.12913 + 1.30308i
\(629\) −1.17022 + 0.168252i −0.0466596 + 0.00670863i
\(630\) 0.395181 14.2367i 0.0157444 0.567203i
\(631\) 15.8261 + 13.7134i 0.630029 + 0.545923i 0.910274 0.414005i \(-0.135871\pi\)
−0.280246 + 0.959928i \(0.590416\pi\)
\(632\) 28.0075 43.5804i 1.11408 1.73354i
\(633\) −3.00917 + 4.68235i −0.119604 + 0.186107i
\(634\) 22.9836 26.5245i 0.912795 1.05342i
\(635\) −26.4216 7.75808i −1.04851 0.307870i
\(636\) −0.147555 1.02627i −0.00585096 0.0406943i
\(637\) 6.43857 18.1380i 0.255105 0.718655i
\(638\) −1.17316 + 0.535765i −0.0464459 + 0.0212111i
\(639\) −10.0385 + 2.94758i −0.397118 + 0.116604i
\(640\) 3.14379 6.88395i 0.124269 0.272112i
\(641\) 8.85888 + 1.27372i 0.349905 + 0.0503087i 0.315027 0.949083i \(-0.397987\pi\)
0.0348783 + 0.999392i \(0.488896\pi\)
\(642\) −33.6009 + 21.5940i −1.32612 + 0.852248i
\(643\) −41.3988 −1.63261 −0.816304 0.577622i \(-0.803981\pi\)
−0.816304 + 0.577622i \(0.803981\pi\)
\(644\) −58.7336 + 12.7152i −2.31443 + 0.501049i
\(645\) −17.9393 −0.706360
\(646\) −37.9495 + 24.3887i −1.49310 + 0.959560i
\(647\) 28.4763 + 4.09427i 1.11952 + 0.160962i 0.677132 0.735862i \(-0.263223\pi\)
0.442387 + 0.896824i \(0.354132\pi\)
\(648\) −2.94996 + 6.45951i −0.115885 + 0.253754i
\(649\) 4.08903 1.20065i 0.160509 0.0471296i
\(650\) 4.53250 2.06992i 0.177779 0.0811891i
\(651\) 10.0976 14.7930i 0.395758 0.579783i
\(652\) −6.48187 45.0824i −0.253850 1.76556i
\(653\) −8.76888 2.57478i −0.343153 0.100759i 0.105615 0.994407i \(-0.466319\pi\)
−0.448768 + 0.893648i \(0.648137\pi\)
\(654\) −33.7550 + 38.9554i −1.31993 + 1.52328i
\(655\) −19.1047 + 29.7275i −0.746483 + 1.16155i
\(656\) 25.0202 38.9321i 0.976873 1.52004i
\(657\) −8.72042 7.55629i −0.340216 0.294799i
\(658\) 83.4287 + 2.31581i 3.25239 + 0.0902797i
\(659\) 31.5462 4.53566i 1.22887 0.176684i 0.502857 0.864369i \(-0.332282\pi\)
0.726009 + 0.687685i \(0.241373\pi\)
\(660\) 6.49818 + 7.49930i 0.252941 + 0.291910i
\(661\) −7.85300 17.1957i −0.305446 0.668834i 0.693206 0.720740i \(-0.256198\pi\)
−0.998652 + 0.0519056i \(0.983470\pi\)
\(662\) 30.7173 9.01941i 1.19386 0.350549i
\(663\) −3.57333 + 7.82450i −0.138777 + 0.303878i
\(664\) 4.82295 33.5443i 0.187167 1.30177i
\(665\) −22.4780 20.5966i −0.871658 0.798702i
\(666\) 0.980810i 0.0380056i
\(667\) −2.34778 + 0.231178i −0.0909062 + 0.00895124i
\(668\) 35.0239i 1.35512i
\(669\) −22.7432 + 14.6162i −0.879304 + 0.565094i
\(670\) 50.0790 + 7.20028i 1.93472 + 0.278171i
\(671\) 8.41428 + 3.84267i 0.324830 + 0.148345i
\(672\) −20.4899 + 12.3785i −0.790417 + 0.477511i
\(673\) 3.15616 + 6.91103i 0.121661 + 0.266401i 0.960657 0.277737i \(-0.0895843\pi\)
−0.838996 + 0.544137i \(0.816857\pi\)
\(674\) 63.8801 55.3524i 2.46057 2.13209i
\(675\) 0.691134 0.0993701i 0.0266018 0.00382476i
\(676\) −24.7204 7.25855i −0.950783 0.279175i
\(677\) 19.4910 22.4938i 0.749099 0.864506i −0.245382 0.969427i \(-0.578913\pi\)
0.994481 + 0.104920i \(0.0334587\pi\)
\(678\) −16.3779 10.5254i −0.628988 0.404226i
\(679\) −0.822907 + 2.53964i −0.0315803 + 0.0974623i
\(680\) −30.1741 + 34.8227i −1.15712 + 1.33539i
\(681\) −3.44998 + 11.7496i −0.132204 + 0.450244i
\(682\) 2.52592 + 17.5681i 0.0967223 + 0.672718i
\(683\) 1.49058 + 1.72022i 0.0570354 + 0.0658224i 0.783550 0.621328i \(-0.213407\pi\)
−0.726515 + 0.687151i \(0.758861\pi\)
\(684\) 10.9307 + 23.9350i 0.417947 + 0.915177i
\(685\) 2.49894 + 8.51059i 0.0954794 + 0.325173i
\(686\) 45.2327 16.2629i 1.72699 0.620919i
\(687\) −14.0427 2.01904i −0.535763 0.0770310i
\(688\) 41.8909 + 65.1836i 1.59708 + 2.48510i
\(689\) −0.601933 −0.0229318
\(690\) 9.66555 + 23.9384i 0.367961 + 0.911321i
\(691\) 12.7125i 0.483608i 0.970325 + 0.241804i \(0.0777391\pi\)
−0.970325 + 0.241804i \(0.922261\pi\)
\(692\) −15.3719 23.9191i −0.584351 0.909268i
\(693\) 0.306812 + 2.65502i 0.0116548 + 0.100856i
\(694\) −25.7538 + 56.3930i −0.977601 + 2.14065i
\(695\) −0.972922 3.31347i −0.0369050 0.125687i
\(696\) −3.17751 + 1.45112i −0.120443 + 0.0550046i
\(697\) 12.2140 10.5835i 0.462640 0.400879i
\(698\) −34.8533 + 5.01115i −1.31922 + 0.189675i
\(699\) 8.05921 27.4471i 0.304827 1.03815i
\(700\) 7.85474 + 3.85403i 0.296881 + 0.145669i
\(701\) −10.4228 + 16.2182i −0.393663 + 0.612552i −0.980351 0.197261i \(-0.936795\pi\)
0.586688 + 0.809813i \(0.300432\pi\)
\(702\) 6.00335 + 3.85812i 0.226582 + 0.145615i
\(703\) 1.58674 + 1.37492i 0.0598452 + 0.0518561i
\(704\) 1.58423 5.39539i 0.0597079 0.203346i
\(705\) −3.58759 24.9523i −0.135117 0.939756i
\(706\) 50.7265 43.9548i 1.90912 1.65426i
\(707\) 24.8164 + 30.2991i 0.933315 + 1.13951i
\(708\) 19.1708 5.62906i 0.720483 0.211553i
\(709\) −4.93459 2.25355i −0.185322 0.0846339i 0.320593 0.947217i \(-0.396118\pi\)
−0.505915 + 0.862583i \(0.668845\pi\)
\(710\) −8.01504 + 55.7458i −0.300799 + 2.09210i
\(711\) −3.94403 6.13702i −0.147913 0.230156i
\(712\) −120.673 −4.52242
\(713\) −6.05014 + 31.8973i −0.226580 + 1.19456i
\(714\) −20.7721 + 5.47800i −0.777377 + 0.205009i
\(715\) 4.84633 3.11455i 0.181242 0.116477i
\(716\) −0.691555 + 4.80987i −0.0258446 + 0.179753i
\(717\) 25.9291 + 11.8414i 0.968340 + 0.442226i
\(718\) 3.92797 + 13.3774i 0.146591 + 0.499241i
\(719\) 12.2401 5.58987i 0.456479 0.208467i −0.173886 0.984766i \(-0.555632\pi\)
0.630365 + 0.776299i \(0.282905\pi\)
\(720\) 12.1675 + 14.0420i 0.453455 + 0.523314i
\(721\) −33.9064 + 14.3613i −1.26274 + 0.534843i
\(722\) 29.5522 + 8.67730i 1.09982 + 0.322936i
\(723\) −18.7662 16.2610i −0.697923 0.604753i
\(724\) −34.9880 22.4854i −1.30032 0.835663i
\(725\) 0.288948 + 0.185696i 0.0107313 + 0.00689657i
\(726\) 19.5746 + 16.9614i 0.726480 + 0.629498i
\(727\) −21.7072 6.37380i −0.805074 0.236391i −0.146797 0.989167i \(-0.546896\pi\)
−0.658277 + 0.752776i \(0.728715\pi\)
\(728\) 20.1478 + 47.5680i 0.746727 + 1.76299i
\(729\) 0.654861 + 0.755750i 0.0242541 + 0.0279907i
\(730\) −56.5005 + 25.8029i −2.09118 + 0.955008i
\(731\) 7.62339 + 25.9629i 0.281961 + 0.960272i
\(732\) 39.4491 + 18.0158i 1.45808 + 0.665882i
\(733\) −1.68799 + 11.7402i −0.0623473 + 0.433635i 0.934609 + 0.355676i \(0.115749\pi\)
−0.996957 + 0.0779588i \(0.975160\pi\)
\(734\) −25.3662 + 16.3019i −0.936285 + 0.601714i
\(735\) −7.15966 12.6303i −0.264088 0.465877i
\(736\) 25.0659 35.4208i 0.923940 1.30563i
\(737\) −9.49450 −0.349735
\(738\) −7.24880 11.2793i −0.266832 0.415199i
\(739\) −6.67249 + 46.4082i −0.245451 + 1.70715i 0.378427 + 0.925631i \(0.376465\pi\)
−0.623879 + 0.781521i \(0.714444\pi\)
\(740\) 3.37668 + 1.54208i 0.124129 + 0.0566879i
\(741\) 14.6572 4.30376i 0.538447 0.158102i
\(742\) −0.952533 1.16298i −0.0349686 0.0426942i
\(743\) 2.74294 2.37677i 0.100629 0.0871952i −0.603094 0.797670i \(-0.706065\pi\)
0.703722 + 0.710475i \(0.251520\pi\)
\(744\) 6.84146 + 47.5834i 0.250820 + 1.74449i
\(745\) 1.43146 4.87510i 0.0524445 0.178610i
\(746\) 18.6388 + 16.1506i 0.682414 + 0.591315i
\(747\) −4.01472 2.58010i −0.146891 0.0944011i
\(748\) 8.09201 12.5914i 0.295873 0.460388i
\(749\) −17.9354 + 36.5534i −0.655344 + 1.33563i
\(750\) 8.64181 29.4313i 0.315554 1.07468i
\(751\) 10.4135 1.49723i 0.379993 0.0546347i 0.0503278 0.998733i \(-0.483973\pi\)
0.329665 + 0.944098i \(0.393064\pi\)
\(752\) −82.2879 + 71.3028i −3.00073 + 2.60015i
\(753\) −1.89365 + 0.864802i −0.0690085 + 0.0315151i
\(754\) 0.988990 + 3.36819i 0.0360169 + 0.122662i
\(755\) −0.584752 + 1.28043i −0.0212813 + 0.0465995i
\(756\) 1.43844 + 12.4477i 0.0523156 + 0.452717i
\(757\) −17.6822 27.5140i −0.642669 1.00001i −0.997871 0.0652231i \(-0.979224\pi\)
0.355201 0.934790i \(-0.384412\pi\)
\(758\) 69.2190i 2.51415i
\(759\) −2.43470 4.18844i −0.0883741 0.152031i
\(760\) 81.8285 2.96823
\(761\) −13.6250 21.2010i −0.493907 0.768535i 0.501408 0.865211i \(-0.332815\pi\)
−0.995316 + 0.0966757i \(0.969179\pi\)
\(762\) 34.1079 + 4.90398i 1.23560 + 0.177652i
\(763\) −8.91826 + 51.7830i −0.322863 + 1.87467i
\(764\) −9.70029 33.0362i −0.350944 1.19521i
\(765\) 2.69546 + 5.90224i 0.0974546 + 0.213396i
\(766\) 22.1294 + 25.5387i 0.799568 + 0.922751i
\(767\) −1.65079 11.4815i −0.0596066 0.414573i
\(768\) −5.80454 + 19.7685i −0.209453 + 0.713333i
\(769\) −7.94297 + 9.16667i −0.286431 + 0.330559i −0.880671 0.473729i \(-0.842908\pi\)
0.594240 + 0.804288i \(0.297453\pi\)
\(770\) 13.6866 + 4.43481i 0.493232 + 0.159820i
\(771\) −7.06024 4.53734i −0.254268 0.163408i
\(772\) −33.0939 + 38.1924i −1.19108 + 1.37458i
\(773\) −17.2032 5.05132i −0.618756 0.181683i −0.0426928 0.999088i