Properties

Label 483.2.r.a.34.2
Level $483$
Weight $2$
Character 483.34
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 34.2
Character \(\chi\) \(=\) 483.34
Dual form 483.2.r.a.412.2

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

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 0.195388 0.980726i \(-0.437403\pi\)
0.694591 + 0.719405i \(0.255585\pi\)
\(6\) −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 −0.913776 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 0.317225 0.948350i \(-0.397249\pi\)
−0.893552 + 0.448960i \(0.851795\pi\)
\(14\) −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 0.999229 0.0392637i \(-0.0125012\pi\)
−0.684029 + 0.729455i \(0.739774\pi\)
\(18\) −2.49027 + 0.731208i −0.586961 + 0.172347i
\(19\) 2.30797 5.05375i 0.529484 1.15941i −0.436238 0.899831i \(-0.643689\pi\)
0.965722 0.259578i \(-0.0835833\pi\)
\(20\) 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 0.889710 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 0.488746 0.872426i \(-0.337454\pi\)
0.714739 + 0.699391i \(0.246545\pi\)
\(32\) 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 −0.950278 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 \(-0.958739\pi\)
0.764311 0.644848i \(-0.223079\pi\)
\(42\) −4.35105 + 5.31234i −0.671382 + 0.819712i
\(43\) −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 \(0.346831\pi\)
−0.462837 + 0.886443i \(0.653169\pi\)
\(48\) −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 −0.666150 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
\(56\) 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 0.837224 0.546860i \(-0.184177\pi\)
−0.422145 + 0.906528i \(0.638723\pi\)
\(60\) 2.76745 9.42507i 0.357276 1.21677i
\(61\) 1.30317 + 9.06375i 0.166854 + 1.16049i 0.885337 + 0.464950i \(0.153928\pi\)
−0.718483 + 0.695545i \(0.755163\pi\)
\(62\) −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 0.999187 + 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 0.920637 0.390419i \(-0.127670\pi\)
0.307830 + 0.951441i \(0.400397\pi\)
\(74\) 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 0.287031 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 0.523203 0.852208i \(-0.324737\pi\)
−0.0205926 + 0.999788i \(0.506555\pi\)
\(84\) 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 −0.301964 0.953319i \(-0.597642\pi\)
0.558313 0.829630i \(-0.311449\pi\)
\(90\) −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 −0.232212 0.972665i \(-0.574596\pi\)
0.330513 + 0.943801i \(0.392778\pi\)
\(98\) −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 −0.441577 0.897223i \(-0.645581\pi\)
0.856554 0.516058i \(-0.172601\pi\)
\(102\) −6.13634 5.31717i −0.607589 0.526479i
\(103\) 11.7082 + 7.52441i 1.15364 + 0.741402i 0.970361 0.241659i \(-0.0776914\pi\)
0.183282 + 0.983060i \(0.441328\pi\)
\(104\) 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 −0.831413 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
\(112\) −21.8246 9.24397i −2.06223 0.873473i
\(113\) −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
\(119\) 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 0.932437 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 −0.999850 0.0173243i \(-0.994485\pi\)
−0.125146 + 0.992138i \(0.539940\pi\)
\(132\) 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 \(-0.941521\pi\)
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 \(-0.977505\pi\)
0.997504 0.0706123i \(-0.0224953\pi\)
\(140\) −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 −0.891258 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
\(154\) −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 −0.695972 0.718069i \(-0.745026\pi\)
0.998445 + 0.0557456i \(0.0177536\pi\)
\(158\) 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 −0.183997 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 −0.658316 0.752741i \(-0.728731\pi\)
0.137778 + 0.990463i \(0.456004\pi\)
\(168\) 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 −0.942436 0.334386i \(-0.891471\pi\)
0.695671 + 0.718361i \(0.255107\pi\)
\(174\) 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 −0.318316 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 \(0.151278\pi\)
−0.982069 + 0.188520i \(0.939631\pi\)
\(182\) 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 −0.433030 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
\(196\) −15.4238 29.3463i −1.10170 2.09616i
\(197\) −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 \(0.0683217\pi\)
−0.877468 + 0.479635i \(0.840769\pi\)
\(200\) −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 −0.813194 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
\(217\) 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 −0.405790 + 0.913966i \(0.633004\pi\)
−0.962413 + 0.271589i \(0.912451\pi\)
\(224\) 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 0.846568 + 0.532281i \(0.178665\pi\)
−0.962237 + 0.272215i \(0.912244\pi\)
\(228\) −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 0.212377 + 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
\(238\) −21.3403 2.46607i −1.38329 0.159851i
\(239\) −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 −0.348244 0.937404i \(-0.613222\pi\)
−0.997358 + 0.0726373i \(0.976858\pi\)
\(242\) −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 −0.594743 0.803916i \(-0.702746\pi\)
0.484202 + 0.874956i \(0.339110\pi\)
\(252\) 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 0.162830 0.986654i \(-0.447938\pi\)
−0.639032 + 0.769180i \(0.720665\pi\)
\(258\) 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 0.991402 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
\(266\) 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 0.00369140 0.999993i \(-0.498825\pi\)
0.990340 + 0.138660i \(0.0442795\pi\)
\(270\) −4.89658 + 2.23619i −0.297996 + 0.136090i
\(271\) −3.61685 12.3179i −0.219708 0.748257i −0.993401 0.114696i \(-0.963411\pi\)
0.773692 0.633561i \(-0.218408\pi\)
\(272\) 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 −0.945115 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 0.974827 0.222964i \(-0.0715731\pi\)
−0.359427 + 0.933173i \(0.617028\pi\)
\(284\) 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 −0.781462 0.623952i \(-0.785526\pi\)
0.0401972 0.999192i \(-0.487201\pi\)
\(294\) −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 −0.941985 0.335654i \(-0.891043\pi\)
−0.809264 + 0.587445i \(0.800134\pi\)
\(308\) 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 −0.859079 0.511843i \(-0.828963\pi\)
0.822463 + 0.568818i \(0.192599\pi\)
\(312\) 12.7863 14.7562i 0.723883 0.835406i
\(313\) 13.4674 + 3.95440i 0.761224 + 0.223516i 0.639231 0.769015i \(-0.279253\pi\)
0.121994 + 0.992531i \(0.461071\pi\)
\(314\) 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 −0.625001 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
\(322\) 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 −0.0602126 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
\(336\) −20.2869 12.2558i −1.10674 0.668611i
\(337\) −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
\(343\) 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 0.124475 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 0.0567624 0.998388i \(-0.481922\pi\)
−0.717360 + 0.696703i \(0.754650\pi\)
\(350\) −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 0.577980 0.816051i \(-0.303841\pi\)
0.784476 + 0.620159i \(0.212932\pi\)
\(354\) −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 −0.909865 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
\(364\) −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 0.860697 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
\(378\) −5.67146 + 3.87132i −0.291709 + 0.199119i
\(379\) −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 \(0.0624882\pi\)
−0.886110 + 0.463474i \(0.846603\pi\)
\(384\) −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 0.971999 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 −0.821813 0.569758i \(-0.807037\pi\)
−0.107579 + 0.994197i \(0.534310\pi\)
\(398\) −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 0.659174 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
\(406\) 3.35552 + 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 0.981777 + 0.190037i \(0.0608607\pi\)
−0.723182 + 0.690658i \(0.757321\pi\)
\(410\) 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 −0.0464761 0.998919i \(-0.514799\pi\)
0.500958 + 0.865471i \(0.332981\pi\)
\(420\) −4.41100 25.6121i −0.215235 1.24974i
\(421\) 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
\(427\) 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 0.357215 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 \(-0.599122\pi\)
0.920046 0.391811i \(-0.128151\pi\)
\(434\) −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 0.870440 + 0.492274i \(0.163834\pi\)
0.0861944 + 0.996278i \(0.472529\pi\)
\(440\) −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 0.664573 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
\(448\) −10.8584 + 9.94960i −0.513013 + 0.470074i
\(449\) 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
\(455\) −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 0.476665 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 \(-0.851107\pi\)
0.892580 0.450890i \(-0.148893\pi\)
\(462\) −2.13822 6.59893i −0.0994790 0.307010i
\(463\) 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 0.999952 0.00980155i \(-0.00311998\pi\)
−0.152010 + 0.988379i \(0.548575\pi\)
\(468\) −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 −0.799927 0.600097i \(-0.795129\pi\)
0.977364 + 0.211565i \(0.0678559\pi\)
\(480\) 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 −0.214384 + 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
\(490\) 7.42336 + 36.9428i 0.335353 + 1.66890i
\(491\) 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
\(497\) −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 0.623672 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 \(-0.889681\pi\)
0.998141 0.0609413i \(-0.0194102\pi\)
\(504\) 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 −0.225690 0.974199i \(-0.572464\pi\)
−0.491011 + 0.871153i \(0.663373\pi\)
\(510\) −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 0.999875 0.0157919i \(-0.00502694\pi\)
−0.963822 + 0.266545i \(0.914118\pi\)
\(522\) 0.836066 + 0.964872i 0.0365936 + 0.0422313i
\(523\) −0.508065 1.11251i −0.0222161 0.0486465i 0.898199 0.439590i \(-0.144876\pi\)
−0.920415 + 0.390943i \(0.872149\pi\)
\(524\) 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 0.970180 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
\(546\) 18.6067 3.20451i 0.796292 0.137140i
\(547\) 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
\(560\) −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 0.999767 0.0216015i \(-0.00687650\pi\)
0.395669 + 0.918393i \(0.370513\pi\)
\(564\) 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 0.133006 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 0.890355 0.455267i \(-0.150456\pi\)
−0.783992 + 0.620770i \(0.786820\pi\)
\(578\) −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 −0.968534 0.248881i \(-0.919937\pi\)
0.628734 + 0.777620i \(0.283573\pi\)
\(588\) −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 0.923020 0.384753i \(-0.125713\pi\)
−0.984507 + 0.175347i \(0.943895\pi\)
\(594\) 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 −0.127938 0.991782i \(-0.540836\pi\)
−0.402173 + 0.915564i \(0.631745\pi\)
\(602\) 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 −0.873678 0.486505i \(-0.838272\pi\)
0.998009 + 0.0630720i \(0.0200898\pi\)
\(608\) 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 −0.0570990 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
\(616\) −18.9721 + 0.526627i −0.764408 + 0.0212184i
\(617\) −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 0.104641 0.994510i \(-0.466631\pi\)
0.948107 + 0.317950i \(0.102994\pi\)
\(620\) 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 0.910274 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
\(637\) −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 0.315027 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 \(-0.196019\pi\)
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 −0.442387 0.896824i \(-0.645868\pi\)
−0.677132 + 0.735862i \(0.736777\pi\)
\(648\) −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 0.105615 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
\(658\) −71.4367 43.1568i −2.78489 1.68243i
\(659\) 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 0.998652 0.0519056i \(-0.0165295\pi\)
−0.693206 + 0.720740i \(0.743802\pi\)
\(662\) 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 0.960657 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 −0.994481 0.104920i \(-0.966541\pi\)
0.245382 + 0.969427i \(0.421087\pi\)
\(678\) 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 0.783550 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
\(686\) 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 \(-0.922261\pi\)
0.970325 0.241804i \(-0.0777391\pi\)
\(692\) 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 −0.980351 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
\(707\) −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 0.320593 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 −0.630365 0.776299i \(-0.717095\pi\)
0.173886 + 0.984766i \(0.444368\pi\)
\(720\) −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 0.658277 0.752776i \(-0.271285\pi\)
0.146797 + 0.989167i \(0.453104\pi\)
\(728\) 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 −0.934609 0.355676i \(-0.884251\pi\)
0.996957 0.0779588i \(-0.0248403\pi\)
\(734\) 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
\(742\) −0.255143 1.48146i −0.00936660 0.0543863i
\(743\) 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
\(749\) −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 0.0503278 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
\(756\) 4.88709 11.5382i 0.177742 0.419640i
\(757\) −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 0.995316 0.0966757i \(-0.0308210\pi\)
−0.501408 + 0.865211i \(0.667185\pi\)
\(762\) −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 −0.594240 0.804288i \(-0.702547\pi\)
0.880671 + 0.473729i \(0.157092\pi\)
\(770\) −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 0.576063 0.8