Properties

Label 483.2.r.a.412.2
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.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 412.2
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.18339 - 1.40318i) q^{2} +(0.989821 - 0.142315i) q^{3} +(1.96744 + 4.30810i) q^{4} +(1.99005 + 0.584333i) q^{5} +(-2.36086 - 1.07817i) q^{6} +(2.37524 + 1.16544i) q^{7} +(1.01061 - 7.02895i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(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} +(2.37524 + 1.16544i) 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} +(-3.55074 - 5.87749i) 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} +(2.51692 + 0.815546i) 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} +(-0.347687 + 12.5257i) 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} +(4.04584 + 3.70722i) 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} +(-4.35105 - 5.31234i) 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} +(4.28350 + 5.53639i) 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} +(10.5923 - 15.5176i) 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} +(2.60737 + 0.449050i) 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} +(-0.306812 - 2.65502i) 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} +(1.43844 + 12.4477i) 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} +(-1.58400 - 18.0986i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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 −0.986837 0.161718i \(-0.948296\pi\)
−0.557051 0.830478i \(-0.688067\pi\)
\(3\) 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 \(-0.255585\pi\)
0.195388 + 0.980726i \(0.437403\pi\)
\(6\) −2.36086 1.07817i −0.963816 0.440160i
\(7\) 2.37524 + 1.16544i 0.897755 + 0.440495i
\(8\) 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 0.749106 0.662450i \(-0.230483\pi\)
−0.913776 + 0.406219i \(0.866847\pi\)
\(12\) 2.56052 + 3.98425i 0.739159 + 1.15015i
\(13\) −2.07798 + 1.80058i −0.576327 + 0.499390i −0.893552 0.448960i \(-0.851795\pi\)
0.317225 + 0.948350i \(0.397249\pi\)
\(14\) −3.55074 5.87749i −0.948976 1.57082i
\(15\) 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 \(-0.739774\pi\)
0.999229 + 0.0392637i \(0.0125012\pi\)
\(18\) −2.49027 0.731208i −0.586961 0.172347i
\(19\) 2.30797 + 5.05375i 0.529484 + 1.15941i 0.965722 + 0.259578i \(0.0835833\pi\)
−0.436238 + 0.899831i \(0.643689\pi\)
\(20\) 1.39795 + 9.72299i 0.312592 + 2.17413i
\(21\) 2.51692 + 0.815546i 0.549237 + 0.177967i
\(22\) 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
\(28\) −0.347687 + 12.5257i −0.0657067 + 2.36713i
\(29\) −0.204348 + 0.447459i −0.0379464 + 0.0830911i −0.927656 0.373436i \(-0.878180\pi\)
0.889710 + 0.456527i \(0.150907\pi\)
\(30\) −4.06822 3.52514i −0.742753 0.643599i
\(31\) 6.70072 + 0.963419i 1.20349 + 0.173035i 0.714739 0.699391i \(-0.246545\pi\)
0.488746 + 0.872426i \(0.337454\pi\)
\(32\) 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
\(35\) 4.04584 + 3.70722i 0.683873 + 0.626634i
\(36\) 3.10148 + 3.57930i 0.516913 + 0.596549i
\(37\) 0.106468 + 0.362596i 0.0175032 + 0.0596104i 0.967782 0.251791i \(-0.0810197\pi\)
−0.950278 + 0.311402i \(0.899202\pi\)
\(38\) 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 0.764311 + 0.644848i \(0.223079\pi\)
−0.991610 + 0.129263i \(0.958739\pi\)
\(42\) −4.35105 5.31234i −0.671382 0.819712i
\(43\) −8.56131 + 1.23093i −1.30559 + 0.187715i −0.759771 0.650190i \(-0.774689\pi\)
−0.545816 + 0.837905i \(0.683780\pi\)
\(44\) 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
\(49\) 4.28350 + 5.53639i 0.611929 + 0.790913i
\(50\) 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 0.643424 0.765510i \(-0.277513\pi\)
−0.666150 + 0.745818i \(0.732059\pi\)
\(54\) −2.56898 0.369364i −0.349594 0.0502640i
\(55\) −0.590283 2.01032i −0.0795937 0.271071i
\(56\) 10.5923 15.5176i 1.41545 2.07363i
\(57\) 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 \(-0.638723\pi\)
0.837224 + 0.546860i \(0.184177\pi\)
\(60\) 2.76745 + 9.42507i 0.357276 + 1.21677i
\(61\) 1.30317 9.06375i 0.166854 1.16049i −0.718483 0.695545i \(-0.755163\pi\)
0.885337 0.464950i \(-0.153928\pi\)
\(62\) −13.2784 11.5058i −1.68636 1.46124i
\(63\) 2.60737 + 0.449050i 0.328497 + 0.0565750i
\(64\) −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 −0.378398 0.925643i \(-0.623525\pi\)
0.999187 0.0403230i \(-0.0128387\pi\)
\(68\) 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 −0.0984367 0.995143i \(-0.531384\pi\)
−0.946106 + 0.323856i \(0.895021\pi\)
\(72\) −1.01061 7.02895i −0.119102 0.828370i
\(73\) 10.4960 4.79338i 1.22847 0.561022i 0.307830 0.951441i \(-0.400397\pi\)
0.920637 + 0.390419i \(0.127670\pi\)
\(74\) 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
\(77\) −0.306812 2.65502i −0.0349645 0.302568i
\(78\) 6.84713 2.01050i 0.775285 0.227644i
\(79\) −5.51326 + 4.77727i −0.620291 + 0.537485i −0.907322 0.420436i \(-0.861877\pi\)
0.287031 + 0.957921i \(0.407332\pi\)
\(80\) −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 \(-0.506555\pi\)
0.523203 + 0.852208i \(0.324737\pi\)
\(84\) 1.43844 + 12.4477i 0.156947 + 1.35815i
\(85\) 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 0.558313 + 0.829630i \(0.311449\pi\)
−0.301964 + 0.953319i \(0.597642\pi\)
\(90\) −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 \(-0.392778\pi\)
−0.232212 + 0.972665i \(0.574596\pi\)
\(98\) −1.58400 18.0986i −0.160008 1.82823i
\(99\) −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 0.856554 + 0.516058i \(0.172601\pi\)
−0.441577 + 0.897223i \(0.645581\pi\)
\(102\) −6.13634 + 5.31717i −0.607589 + 0.526479i
\(103\) 11.7082 7.52441i 1.15364 0.741402i 0.183282 0.983060i \(-0.441328\pi\)
0.970361 + 0.241659i \(0.0776914\pi\)
\(104\) 10.5562 + 16.4257i 1.03512 + 1.61067i
\(105\) 4.53226 + 3.09370i 0.442303 + 0.301914i
\(106\) 0.160076 + 0.545169i 0.0155480 + 0.0529515i
\(107\) −15.2327 2.19013i −1.47260 0.211728i −0.641189 0.767383i \(-0.721559\pi\)
−0.831413 + 0.555654i \(0.812468\pi\)
\(108\) 3.57930 + 3.10148i 0.344418 + 0.298440i
\(109\) −18.0655 8.25026i −1.73037 0.790232i −0.993453 0.114244i \(-0.963555\pi\)
−0.736913 0.675988i \(-0.763717\pi\)
\(110\) −1.53202 + 5.21758i −0.146072 + 0.497476i
\(111\) 0.156987 + 0.343753i 0.0149005 + 0.0326276i
\(112\) −21.8246 + 9.24397i −2.06223 + 0.873473i
\(113\) −4.05541 + 6.31035i −0.381501 + 0.593627i −0.977903 0.209058i \(-0.932960\pi\)
0.596402 + 0.802686i \(0.296596\pi\)
\(114\) 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
\(119\) 6.40339 5.24468i 0.586998 0.480779i
\(120\) 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
\(126\) −5.06279 4.63905i −0.451029 0.413279i
\(127\) 11.1692 7.17799i 0.991104 0.636944i 0.0586676 0.998278i \(-0.481315\pi\)
0.932437 + 0.361334i \(0.117678\pi\)
\(128\) −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 \(-0.539940\pi\)
−0.999850 + 0.0173243i \(0.994485\pi\)
\(132\) 1.98748 4.35197i 0.172988 0.378790i
\(133\) −0.407865 + 14.6936i −0.0353664 + 1.27410i
\(134\) −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 \(0.0584791\pi\)
−0.983171 + 0.182686i \(0.941521\pi\)
\(138\) 1.21972 12.3872i 0.103830 1.05447i
\(139\) 1.66501i 0.141225i 0.997504 + 0.0706123i \(0.0224953\pi\)
−0.997504 + 0.0706123i \(0.977505\pi\)
\(140\) −8.01108 + 24.7236i −0.677060 + 2.08953i
\(141\) −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
\(147\) 5.02781 + 4.87043i 0.414687 + 0.401707i
\(148\) −1.35263 + 1.17206i −0.111185 + 0.0963427i
\(149\) −1.32442 2.06084i −0.108501 0.168831i 0.782757 0.622328i \(-0.213813\pi\)
−0.891258 + 0.453497i \(0.850176\pi\)
\(150\) 0.979756 + 1.52453i 0.0799968 + 0.124477i
\(151\) 0.444442 + 0.512914i 0.0361682 + 0.0417403i 0.773545 0.633741i \(-0.218481\pi\)
−0.737377 + 0.675481i \(0.763936\pi\)
\(152\) 37.8550 11.1152i 3.07045 0.901565i
\(153\) 0.445224 3.09660i 0.0359942 0.250345i
\(154\) −3.05558 + 6.22746i −0.246226 + 0.501823i
\(155\) 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 \(-0.0177536\pi\)
−0.695972 + 0.718069i \(0.745026\pi\)
\(158\) 18.7410 2.69454i 1.49095 0.214366i
\(159\) −0.184167 0.118357i −0.0146054 0.00938633i
\(160\) 18.7662 1.48360
\(161\) −1.59329 + 12.5881i −0.125569 + 0.992085i
\(162\) −2.59540 −0.203914
\(163\) 8.09016 + 5.19923i 0.633670 + 0.407235i 0.817667 0.575692i \(-0.195267\pi\)
−0.183997 + 0.982927i \(0.558904\pi\)
\(164\) −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 \(-0.456004\pi\)
−0.658316 + 0.752741i \(0.728731\pi\)
\(168\) 8.27606 16.8671i 0.638512 1.30133i
\(169\) −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 \(-0.255107\pi\)
−0.942436 + 0.334386i \(0.891471\pi\)
\(174\) 0.964872 0.836066i 0.0731468 0.0633820i
\(175\) −0.955258 1.58122i −0.0722107 0.119529i
\(176\) 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 0.244734 0.969590i \(-0.421299\pi\)
−0.318316 + 0.947985i \(0.603117\pi\)
\(180\) 4.08061 + 8.93529i 0.304151 + 0.665997i
\(181\) −1.24975 8.69219i −0.0928930 0.646085i −0.982069 0.188520i \(-0.939631\pi\)
0.889176 0.457565i \(-0.151278\pi\)
\(182\) 17.9612 + 5.81990i 1.33138 + 0.431399i
\(183\) 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
\(189\) 2.64473 + 0.0734124i 0.192376 + 0.00533996i
\(190\) 12.4239 27.2045i 0.901322 1.97362i
\(191\) 5.49422 + 4.76077i 0.397548 + 0.344477i 0.830578 0.556902i \(-0.188010\pi\)
−0.433030 + 0.901379i \(0.642556\pi\)
\(192\) −5.50982 0.792193i −0.397637 0.0571716i
\(193\) −10.2382 + 3.00619i −0.736958 + 0.216390i −0.628608 0.777722i \(-0.716375\pi\)
−0.108350 + 0.994113i \(0.534557\pi\)
\(194\) −1.71496 1.97917i −0.123127 0.142096i
\(195\) −4.79748 + 3.08315i −0.343554 + 0.220789i
\(196\) −15.4238 + 29.3463i −1.10170 + 2.09616i
\(197\) −3.58337 4.13543i −0.255305 0.294637i 0.613600 0.789617i \(-0.289721\pi\)
−0.868904 + 0.494980i \(0.835175\pi\)
\(198\) 0.738654 + 2.51562i 0.0524938 + 0.178778i
\(199\) 1.40482 9.77074i 0.0995851 0.692629i −0.877468 0.479635i \(-0.840769\pi\)
0.977053 0.212995i \(-0.0683217\pi\)
\(200\) −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
\(203\) −1.00686 + 0.824667i −0.0706678 + 0.0578803i
\(204\) 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
\(210\) −5.55466 13.1143i −0.383308 0.904973i
\(211\) 2.31217 + 5.06294i 0.159176 + 0.348547i 0.972370 0.233446i \(-0.0750002\pi\)
−0.813194 + 0.581993i \(0.802273\pi\)
\(212\) 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
\(217\) 14.7930 + 10.0976i 1.00421 + 0.685472i
\(218\) 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 −0.962413 0.271589i \(-0.912451\pi\)
−0.405790 0.913966i \(-0.633004\pi\)
\(224\) 23.5915 + 4.06301i 1.57627 + 0.271471i
\(225\) −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 −0.962237 0.272215i \(-0.912244\pi\)
0.846568 0.532281i \(-0.178665\pi\)
\(228\) −14.2258 + 22.1358i −0.942126 + 1.46598i
\(229\) −14.1871 −0.937511 −0.468755 0.883328i \(-0.655297\pi\)
−0.468755 + 0.883328i \(0.655297\pi\)
\(230\) 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 −0.479080 0.877771i \(-0.659030\pi\)
0.212377 0.977188i \(-0.431879\pi\)
\(234\) 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
\(238\) −21.3403 + 2.46607i −1.38329 + 0.159851i
\(239\) −27.3504 + 8.03080i −1.76915 + 0.519469i −0.993713 0.111957i \(-0.964288\pi\)
−0.775436 + 0.631426i \(0.782470\pi\)
\(240\) −14.0420 + 12.1675i −0.906407 + 0.785406i
\(241\) −20.8894 + 13.4248i −1.34560 + 0.864766i −0.997358 0.0726373i \(-0.976858\pi\)
−0.348244 + 0.937404i \(0.613222\pi\)
\(242\) −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
\(245\) 5.28930 + 13.5207i 0.337921 + 0.863806i
\(246\) 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 \(-0.339110\pi\)
−0.594743 + 0.803916i \(0.702746\pi\)
\(252\) 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 \(-0.720665\pi\)
0.162830 + 0.986654i \(0.447938\pi\)
\(258\) 21.5392 + 6.32447i 1.34097 + 0.393744i
\(259\) −0.169698 + 0.985333i −0.0105445 + 0.0612256i
\(260\) −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 0.0115742 0.999933i \(-0.496316\pi\)
0.991402 + 0.130849i \(0.0417703\pi\)
\(264\) −6.03477 + 3.87831i −0.371414 + 0.238694i
\(265\) −0.245481 0.381975i −0.0150798 0.0234646i
\(266\) 21.5083 31.5096i 1.31876 1.93198i
\(267\) 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 \(-0.0442795\pi\)
0.00369140 + 0.999993i \(0.498825\pi\)
\(270\) −4.89658 2.23619i −0.297996 0.136090i
\(271\) −3.61685 + 12.3179i −0.219708 + 0.748257i 0.773692 + 0.633561i \(0.218408\pi\)
−0.993401 + 0.114696i \(0.963411\pi\)
\(272\) 11.6423 + 25.4930i 0.705917 + 1.54574i
\(273\) −6.69856 + 2.83722i −0.405415 + 0.171717i
\(274\) 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
\(280\) 30.1466 24.6915i 1.80161 1.47560i
\(281\) −5.47619 + 18.6502i −0.326682 + 1.11258i 0.618433 + 0.785838i \(0.287768\pi\)
−0.945115 + 0.326739i \(0.894050\pi\)
\(282\) −13.1044 + 28.6946i −0.780353 + 1.70874i
\(283\) 10.3526 11.9476i 0.615400 0.710210i −0.359427 0.933173i \(-0.617028\pi\)
0.974827 + 0.222964i \(0.0715731\pi\)
\(284\) 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
\(287\) −9.23375 + 10.0772i −0.545051 + 0.594838i
\(288\) 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 0.0401972 + 0.999192i \(0.487201\pi\)
−0.781462 + 0.623952i \(0.785526\pi\)
\(294\) −4.14357 17.6890i −0.241658 1.03164i
\(295\) 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
\(301\) −21.7697 7.05394i −1.25478 0.406582i
\(302\) −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 \(-0.800134\pi\)
−0.941985 + 0.335654i \(0.891043\pi\)
\(308\) 10.8345 6.54538i 0.617351 0.372958i
\(309\) 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 \(-0.192599\pi\)
−0.859079 + 0.511843i \(0.828963\pi\)
\(312\) 12.7863 + 14.7562i 0.723883 + 0.835406i
\(313\) 13.4674 3.95440i 0.761224 0.223516i 0.121994 0.992531i \(-0.461071\pi\)
0.639231 + 0.769015i \(0.279253\pi\)
\(314\) 3.36983 23.4377i 0.190171 1.32267i
\(315\) 4.92640 + 2.41720i 0.277571 + 0.136194i
\(316\) −31.4280 14.3527i −1.76796 0.807401i
\(317\) −12.9750 3.80980i −0.728748 0.213980i −0.103747 0.994604i \(-0.533083\pi\)
−0.625001 + 0.780624i \(0.714901\pi\)
\(318\) 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
\(322\) 21.1422 25.2491i 1.17821 1.40708i
\(323\) 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
\(329\) 14.1651 28.8693i 0.780947 1.59162i
\(330\) −0.773886 + 5.38250i −0.0426010 + 0.296297i
\(331\) −11.8353 + 3.47516i −0.650527 + 0.191012i −0.590314 0.807174i \(-0.700996\pi\)
−0.0602126 + 0.998186i \(0.519178\pi\)
\(332\) 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
\(336\) −20.2869 + 12.2558i −1.10674 + 0.668611i
\(337\) −32.2360 4.63483i −1.75600 0.252475i −0.812294 0.583248i \(-0.801781\pi\)
−0.943710 + 0.330773i \(0.892691\pi\)
\(338\) 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
\(343\) 3.72200 + 18.1424i 0.200969 + 0.979598i
\(344\) 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 0.954266 0.298957i \(-0.0966389\pi\)
0.124475 + 0.992223i \(0.460275\pi\)
\(348\) −2.30603 + 0.331557i −0.123616 + 0.0177733i
\(349\) −12.3410 + 5.63593i −0.660597 + 0.301685i −0.717360 0.696703i \(-0.754650\pi\)
0.0567624 + 0.998388i \(0.481922\pi\)
\(350\) −0.133039 + 4.79282i −0.00711122 + 0.256187i
\(351\) −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 \(-0.212932\pi\)
0.577980 + 0.816051i \(0.303841\pi\)
\(354\) −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
\(357\) 5.59182 6.10259i 0.295950 0.322983i
\(358\) 1.74385 + 2.01251i 0.0921654 + 0.106365i
\(359\) 1.51344 + 5.15429i 0.0798761 + 0.272033i 0.989741 0.142871i \(-0.0456334\pi\)
−0.909865 + 0.414904i \(0.863815\pi\)
\(360\) 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
\(364\) −21.8310 26.6541i −1.14425 1.39706i
\(365\) 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 \(-0.598063\pi\)
−0.303223 + 0.952920i \(0.598063\pi\)
\(368\) −39.8379 16.0852i −2.07670 0.838502i
\(369\) 5.16599i 0.268931i
\(370\) 1.09981 1.71133i 0.0571763 0.0889681i
\(371\) −0.225900 0.533339i −0.0117281 0.0276896i
\(372\) 13.3188 + 29.1642i 0.690550 + 1.51209i
\(373\) −2.67715 + 9.11753i −0.138618 + 0.472088i −0.999314 0.0370302i \(-0.988210\pi\)
0.860697 + 0.509118i \(0.170028\pi\)
\(374\) 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
\(378\) −5.67146 3.87132i −0.291709 0.199119i
\(379\) −14.4188 22.4361i −0.740646 1.15247i −0.983236 0.182338i \(-0.941633\pi\)
0.242590 0.970129i \(-0.422003\pi\)
\(380\) −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 −0.886110 0.463474i \(-0.846603\pi\)
0.980792 0.195054i \(-0.0624882\pi\)
\(384\) −2.75757 2.38945i −0.140722 0.121936i
\(385\) 0.940844 5.46292i 0.0479498 0.278416i
\(386\) 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 −0.617532 0.786546i \(-0.711867\pi\)
0.971999 + 0.234984i \(0.0755037\pi\)
\(390\) 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 \(-0.534310\pi\)
−0.821813 + 0.569758i \(0.807037\pi\)
\(398\) −16.7774 + 19.3621i −0.840973 + 0.970534i
\(399\) 1.68741 + 14.6021i 0.0844761 + 0.731021i
\(400\) 6.00171 1.76226i 0.300086 0.0881131i
\(401\) 0.173162 0.150046i 0.00864729 0.00749292i −0.650526 0.759484i \(-0.725452\pi\)
0.659174 + 0.751991i \(0.270906\pi\)
\(402\) −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
\(406\) 3.35552 0.387761i 0.166532 0.0192443i
\(407\) 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 −0.723182 0.690658i \(-0.757321\pi\)
0.981777 0.190037i \(-0.0608607\pi\)
\(410\) 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 \(-0.332981\pi\)
−0.0464761 + 0.998919i \(0.514799\pi\)
\(420\) −4.41100 + 25.6121i −0.215235 + 1.24974i
\(421\) 3.80770 + 3.29939i 0.185576 + 0.160802i 0.742694 0.669631i \(-0.233548\pi\)
−0.557118 + 0.830433i \(0.688093\pi\)
\(422\) 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
\(427\) 13.6586 20.0098i 0.660986 0.968342i
\(428\) −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 0.939813 0.341689i \(-0.110999\pi\)
0.357215 + 0.934022i \(0.383726\pi\)
\(432\) −2.52386 + 8.59547i −0.121429 + 0.413550i
\(433\) 12.7693 + 27.9609i 0.613655 + 1.34372i 0.920046 + 0.391811i \(0.128151\pi\)
−0.306391 + 0.951906i \(0.599122\pi\)
\(434\) −18.1301 42.8043i −0.870271 2.05467i
\(435\) −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 0.0861944 0.996278i \(-0.472529\pi\)
0.870440 0.492274i \(-0.163834\pi\)
\(440\) −14.7270 + 2.11742i −0.702081 + 0.100944i
\(441\) 5.66977 + 4.10533i 0.269989 + 0.195492i
\(442\) 6.28973 21.4208i 0.299172 1.01889i
\(443\) −7.05817 + 15.4552i −0.335344 + 0.734301i −0.999916 0.0129231i \(-0.995886\pi\)
0.664573 + 0.747224i \(0.268614\pi\)
\(444\) −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
\(448\) −10.8584 9.94960i −0.513013 0.470074i
\(449\) 5.61401 3.60791i 0.264942 0.170268i −0.401425 0.915892i \(-0.631485\pi\)
0.666367 + 0.745624i \(0.267849\pi\)
\(450\) 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
\(455\) −15.0823 0.418654i −0.707069 0.0196268i
\(456\) 35.8878 16.3894i 1.68060 0.767505i
\(457\) 14.6726 2.10960i 0.686355 0.0986829i 0.209690 0.977768i \(-0.432755\pi\)
0.476665 + 0.879085i \(0.341846\pi\)
\(458\) 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 \(0.851107\pi\)
\(462\) −2.13822 + 6.59893i −0.0994790 + 0.307010i
\(463\) 1.84806 + 12.8535i 0.0858865 + 0.597354i 0.986627 + 0.162996i \(0.0521157\pi\)
−0.900740 + 0.434358i \(0.856975\pi\)
\(464\) −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 \(-0.548575\pi\)
0.999952 + 0.00980155i \(0.00311998\pi\)
\(468\) −12.8896 1.85325i −0.595822 0.0856663i
\(469\) 21.2843 12.8584i 0.982819 0.593747i
\(470\) −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
\(476\) 35.1929 + 17.2678i 1.61306 + 0.791469i
\(477\) −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 \(-0.0678559\pi\)
−0.799927 + 0.600097i \(0.795129\pi\)
\(480\) 18.5752 2.67071i 0.847837 0.121901i
\(481\) −0.874120 0.561763i −0.0398564 0.0256142i
\(482\) 64.4470 2.93548
\(483\) 0.214408 + 12.6868i 0.00975592 + 0.577268i
\(484\) 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 −0.597786 0.801655i \(-0.703953\pi\)
−0.214384 0.976749i \(-0.568774\pi\)
\(488\) −62.3917 18.3199i −2.82434 0.829301i
\(489\) 8.74774 + 3.99496i 0.395587 + 0.180658i
\(490\) 7.42336 36.9428i 0.335353 1.66890i
\(491\) 4.22050 29.3542i 0.190468 1.32474i −0.640303 0.768123i \(-0.721191\pi\)
0.830771 0.556614i \(-0.187900\pi\)
\(492\) −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
\(497\) −14.3134 23.6928i −0.642045 1.06277i
\(498\) −12.2600 1.76272i −0.549382 0.0789892i
\(499\) −5.33474 + 6.15662i −0.238816 + 0.275608i −0.862488 0.506078i \(-0.831095\pi\)
0.623672 + 0.781686i \(0.285640\pi\)
\(500\) 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 0.998141 + 0.0609413i \(0.0194102\pi\)
−0.940540 + 0.339682i \(0.889681\pi\)
\(504\) 5.79138 17.8732i 0.257969 0.796137i
\(505\) 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 \(-0.663373\pi\)
−0.225690 + 0.974199i \(0.572464\pi\)
\(510\) −15.3187 + 6.99579i −0.678321 + 0.309779i
\(511\) 30.5170 + 0.847088i 1.34999 + 0.0374730i
\(512\) 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
\(518\) 1.75311 1.91325i 0.0770274 0.0840633i
\(519\) −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 \(-0.914118\pi\)
0.999875 + 0.0157919i \(0.00502694\pi\)
\(522\) 0.836066 0.964872i 0.0365936 0.0422313i
\(523\) −0.508065 + 1.11251i −0.0222161 + 0.0486465i −0.920415 0.390943i \(-0.872149\pi\)
0.898199 + 0.439590i \(0.144876\pi\)
\(524\) 22.7334 77.4230i 0.993115 3.38224i
\(525\) −1.17057 1.42918i −0.0510877 0.0623746i
\(526\) −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
\(532\) −64.1041 + 27.1518i −2.77926 + 1.17718i
\(533\) −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
\(539\) 2.36552 6.66388i 0.101890 0.287034i
\(540\) 5.31070 + 8.26361i 0.228536 + 0.355609i
\(541\) 26.8117 17.2308i 1.15272 0.740810i 0.182544 0.983198i \(-0.441567\pi\)
0.970180 + 0.242388i \(0.0779305\pi\)
\(542\) 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
\(546\) 18.6067 + 3.20451i 0.796292 + 0.137140i
\(547\) 23.4102 + 6.87386i 1.00095 + 0.293905i 0.740845 0.671676i \(-0.234425\pi\)
0.260104 + 0.965581i \(0.416243\pi\)
\(548\) −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 −0.999960 0.00894714i \(-0.997152\pi\)
0.846057 + 0.533092i \(0.178970\pi\)
\(558\) −15.9821 7.29879i −0.676577 0.308982i
\(559\) 15.5738 17.9731i 0.658702 0.760183i
\(560\) −48.8337 + 5.64318i −2.06360 + 0.238468i
\(561\) −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 \(-0.370513\pi\)
0.999767 + 0.0216015i \(0.00687650\pi\)
\(564\) 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
\(567\) 2.62826 0.303720i 0.110377 0.0127550i
\(568\) −48.6532 + 56.1488i −2.04144 + 2.35595i
\(569\) 23.1176 + 10.5575i 0.969141 + 0.442592i 0.836135 0.548523i \(-0.184810\pi\)
0.133006 + 0.991115i \(0.457537\pi\)
\(570\) 8.42581 28.6957i 0.352918 1.20193i
\(571\) −29.0788 + 13.2799i −1.21691 + 0.555745i −0.917254 0.398302i \(-0.869600\pi\)
−0.299657 + 0.954047i \(0.596872\pi\)
\(572\) 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 \(-0.786820\pi\)
0.890355 + 0.455267i \(0.150456\pi\)
\(578\) −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
\(581\) 12.4431 + 2.14300i 0.516229 + 0.0889068i
\(582\) −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 \(-0.283573\pi\)
−0.968534 + 0.248881i \(0.919937\pi\)
\(588\) −11.0904 + 31.2426i −0.457359 + 1.28842i
\(589\) 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 \(-0.943895\pi\)
0.923020 + 0.384753i \(0.125713\pi\)
\(594\) 1.08915 + 2.38490i 0.0446882 + 0.0978535i
\(595\) 15.8077 6.69548i 0.648053 0.274488i
\(596\) 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 \(-0.631745\pi\)
−0.127938 + 0.991782i \(0.540836\pi\)
\(602\) 37.6338 + 45.9482i 1.53384 + 1.87271i
\(603\) 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 \(-0.0200898\pi\)
−0.873678 + 0.486505i \(0.838272\pi\)
\(608\) 32.9192 + 37.9908i 1.33505 + 1.54073i
\(609\) −0.879251 + 0.959564i −0.0356290 + 0.0388835i
\(610\) −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 0.226487 0.974014i \(-0.427276\pi\)
−0.0570990 + 0.998369i \(0.518185\pi\)
\(614\) 60.8054 + 52.6882i 2.45391 + 2.12632i
\(615\) −4.45101 + 9.74635i −0.179482 + 0.393011i
\(616\) −18.9721 0.526627i −0.764408 0.0212184i
\(617\) −11.9294 + 5.44798i −0.480260 + 0.219327i −0.640809 0.767700i \(-0.721401\pi\)
0.160549 + 0.987028i \(0.448674\pi\)
\(618\) −35.7540 + 5.14064i −1.43824 + 0.206787i
\(619\) 26.1921 + 16.8326i 1.05275 + 0.676560i 0.948107 0.317950i \(-0.102994\pi\)
0.104641 + 0.994510i \(0.466631\pi\)
\(620\) 66.4978i 2.67062i
\(621\) 3.29925 + 3.48066i 0.132394 + 0.139674i
\(622\) 3.09985i 0.124293i
\(623\) −13.8588 + 42.7707i −0.555241 + 1.71357i
\(624\) −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
\(630\) −7.36448 12.1903i −0.293408 0.485673i
\(631\) 15.8261 13.7134i 0.630029 0.545923i −0.280246 0.959928i \(-0.590416\pi\)
0.910274 + 0.414005i \(0.135871\pi\)
\(632\) 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
\(637\) −18.8697 3.79172i −0.747646 0.150233i
\(638\) −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 0.0348783 0.999392i \(-0.488896\pi\)
0.315027 + 0.949083i \(0.397987\pi\)
\(642\) 33.6009 + 21.5940i 1.32612 + 0.852248i
\(643\) 41.3988 1.63261 0.816304 0.577622i \(-0.196019\pi\)
0.816304 + 0.577622i \(0.196019\pi\)
\(644\) −57.3657 + 17.9024i −2.26052 + 0.705454i
\(645\) −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 \(-0.736777\pi\)
−0.442387 + 0.896824i \(0.645868\pi\)
\(648\) −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
\(651\) 16.0795 + 7.88959i 0.630204 + 0.309218i
\(652\) −6.48187 + 45.0824i −0.253850 + 1.76556i
\(653\) −8.76888 + 2.57478i −0.343153 + 0.100759i −0.448768 0.893648i \(-0.648137\pi\)
0.105615 + 0.994407i \(0.466319\pi\)
\(654\) 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
\(658\) −71.4367 + 43.1568i −2.78489 + 1.68243i
\(659\) 31.5462 + 4.53566i 1.22887 + 0.176684i 0.726009 0.687685i \(-0.241373\pi\)
0.502857 + 0.864369i \(0.332282\pi\)
\(660\) 6.49818 7.49930i 0.252941 0.291910i
\(661\) 7.85300 17.1957i 0.305446 0.668834i −0.693206 0.720740i \(-0.743802\pi\)
0.998652 + 0.0519056i \(0.0165295\pi\)
\(662\) 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
\(665\) −9.39765 + 29.0028i −0.364425 + 1.12468i
\(666\) 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
\(672\) 23.9296 + 0.664236i 0.923103 + 0.0256235i
\(673\) 3.15616 6.91103i 0.121661 0.266401i −0.838996 0.544137i \(-0.816857\pi\)
0.960657 + 0.277737i \(0.0895843\pi\)
\(674\) 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 \(-0.421087\pi\)
−0.994481 + 0.104920i \(0.966541\pi\)
\(678\) 16.3779 10.5254i 0.628988 0.404226i
\(679\) 1.96829 + 1.80355i 0.0755359 + 0.0692137i
\(680\) −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 −0.726515 0.687151i \(-0.758861\pi\)
0.783550 + 0.621328i \(0.213407\pi\)
\(684\) −10.9307 + 23.9350i −0.417947 + 0.915177i
\(685\) −2.49894 + 8.51059i −0.0954794 + 0.325173i
\(686\) 17.3305 44.8345i 0.661680 1.71179i
\(687\) −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
\(693\) −1.04239 2.46104i −0.0395972 0.0934871i
\(694\) −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
\(700\) 4.93265 7.22631i 0.186437 0.273129i
\(701\) −10.4228 16.2182i −0.393663 0.612552i 0.586688 0.809813i \(-0.300432\pi\)
−0.980351 + 0.197261i \(0.936795\pi\)
\(702\) 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
\(707\) −6.64725 + 38.5966i −0.249996 + 1.45158i
\(708\) 19.1708 + 5.62906i 0.720483 + 0.211553i
\(709\) −4.93459 + 2.25355i −0.185322 + 0.0846339i −0.505915 0.862583i \(-0.668845\pi\)
0.320593 + 0.947217i \(0.396118\pi\)
\(710\) 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 \(-0.444368\pi\)
−0.630365 + 0.776299i \(0.717095\pi\)
\(720\) −12.1675 + 14.0420i −0.453455 + 0.523314i
\(721\) 36.5790 4.22704i 1.36227 0.157423i
\(722\) 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 \(-0.453104\pi\)
0.658277 + 0.752776i \(0.271285\pi\)
\(728\) 5.93020 + 51.3175i 0.219788 + 1.90195i
\(729\) 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 0.996957 + 0.0779588i \(0.0248403\pi\)
−0.934609 + 0.355676i \(0.884251\pi\)
\(734\) 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 −0.623879 0.781521i \(-0.714444\pi\)
0.378427 0.925631i \(-0.376465\pi\)
\(740\) −3.37668 + 1.54208i −0.124129 + 0.0566879i
\(741\) −14.6572 4.30376i −0.538447 0.158102i
\(742\) −0.255143 + 1.48146i −0.00936660 + 0.0543863i
\(743\) 2.74294 + 2.37677i 0.100629 + 0.0871952i 0.703722 0.710475i \(-0.251520\pi\)
−0.603094 + 0.797670i \(0.706065\pi\)
\(744\) 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
\(749\) −33.6289 22.9549i −1.22877 0.838754i
\(750\) 8.64181 + 29.4313i 0.315554 + 1.07468i
\(751\) 10.4135 + 1.49723i 0.379993 + 0.0546347i 0.329665 0.944098i \(-0.393064\pi\)
0.0503278 + 0.998733i \(0.483973\pi\)
\(752\) 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
\(756\) 4.88709 + 11.5382i 0.177742 + 0.419640i
\(757\) −17.6822 + 27.5140i −0.642669 + 1.00001i 0.355201 + 0.934790i \(0.384412\pi\)
−0.997871 + 0.0652231i \(0.979224\pi\)
\(758\) 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 \(-0.667185\pi\)
0.995316 + 0.0966757i \(0.0308210\pi\)
\(762\) −34.1079 + 4.90398i −1.23560 + 0.177652i
\(763\) −33.2948 40.6506i −1.20535 1.47165i
\(764\) −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 \(-0.157092\pi\)
−0.594240 + 0.804288i \(0.702547\pi\)
\(770\) −9.71968 + 10.6075i −0.350273 + 0.382268i
\(771\) −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